From 5869f285ead8d808833b3357fd8853ef7c5a1d14 Mon Sep 17 00:00:00 2001 From: Farhan Syah Date: Wed, 21 Oct 2026 10:53:38 +0800 Subject: [PATCH 01/12] docs: add contributor assignment agreement and update copyright holder Add CLA.md and point CONTRIBUTING.md and the pull request template at it. Change the BUSL-1.1 licensor and copyright line to Biz Impulse Solutions Sdn. Bhd. Add a NOTICE file to each Apache-2.0 library crate. --- .github/PULL_REQUEST_TEMPLATE.md | 1 + CLA.md | 25 +++++++++++++++++++++++++ CONTRIBUTING.md | 10 +++++++--- LICENSE | 4 ++-- nodedb-array/NOTICE | 2 ++ nodedb-client/NOTICE | 2 ++ nodedb-codec/NOTICE | 2 ++ nodedb-columnar/NOTICE | 2 ++ nodedb-crdt/NOTICE | 2 ++ nodedb-fts/NOTICE | 2 ++ nodedb-graph/NOTICE | 2 ++ nodedb-mem/NOTICE | 2 ++ nodedb-physical/NOTICE | 2 ++ nodedb-query/NOTICE | 2 ++ nodedb-spatial/NOTICE | 2 ++ nodedb-sql/NOTICE | 2 ++ nodedb-strict/NOTICE | 2 ++ nodedb-types/NOTICE | 2 ++ nodedb-vector-gpu/NOTICE | 2 ++ nodedb-vector/NOTICE | 2 ++ nodedb-wal/NOTICE | 2 ++ 21 files changed, 69 insertions(+), 5 deletions(-) create mode 100644 .github/PULL_REQUEST_TEMPLATE.md create mode 100644 CLA.md create mode 100644 nodedb-array/NOTICE create mode 100644 nodedb-client/NOTICE create mode 100644 nodedb-codec/NOTICE create mode 100644 nodedb-columnar/NOTICE create mode 100644 nodedb-crdt/NOTICE create mode 100644 nodedb-fts/NOTICE create mode 100644 nodedb-graph/NOTICE create mode 100644 nodedb-mem/NOTICE create mode 100644 nodedb-physical/NOTICE create mode 100644 nodedb-query/NOTICE create mode 100644 nodedb-spatial/NOTICE create mode 100644 nodedb-sql/NOTICE create mode 100644 nodedb-strict/NOTICE create mode 100644 nodedb-types/NOTICE create mode 100644 nodedb-vector-gpu/NOTICE create mode 100644 nodedb-vector/NOTICE create mode 100644 nodedb-wal/NOTICE diff --git a/.github/PULL_REQUEST_TEMPLATE.md b/.github/PULL_REQUEST_TEMPLATE.md new file mode 100644 index 000000000..426d166ab --- /dev/null +++ b/.github/PULL_REQUEST_TEMPLATE.md @@ -0,0 +1 @@ +- [ ] I have signed the Contributor Assignment Agreement. diff --git a/CLA.md b/CLA.md new file mode 100644 index 000000000..02c610323 --- /dev/null +++ b/CLA.md @@ -0,0 +1,25 @@ +# CONTRIBUTOR ASSIGNMENT AGREEMENT + +**NodeDB** + +Date: the date on which the Contributor signs through the CLA assistant. + +**PARTIES.** (1) **the person who signs through the CLA assistant, identified by their GitHub account** (the **"Contributor"**); and (2) **BIZ IMPULSE SOLUTIONS SDN. BHD.** (Company Registration No. 202201016965 (1462662-D)) (the **"Company"**). + +**1. Contributions.** The Contributor has contributed or will contribute code, documentation and other material to the repositories at github.com/NodeDB-Lab/nodedb and github.com/NodeDB-Lab/nodedb-studio under the GitHub account through which the Contributor signs, from the first contribution to the date above, and will contribute more. Those contributions, and every later contribution that the Contributor submits to a repository of the Company, are the **"Contributions"**. + +**2. Assignment.** In consideration of RM1.00, which the Contributor acknowledges receiving, and of the Company's promises in clauses 3 and 4, the Contributor sells and assigns to the Company absolutely all copyright and other intellectual property rights in the Contributions, including the right to sue for any past infringement. The parties intend this to be a sale for that consideration and not a gift. The assignment of each Contribution takes effect when it is made. This document is in writing, as section 27(3) of the Copyright Act 1987 requires, and section 27(6) of that Act allows the assignment of future works. + +**3. Licence back.** The Company grants the Contributor a perpetual, irrevocable, worldwide, royalty-free, non-exclusive licence to use, copy, modify and distribute the Contributions for any purpose. The Contributions stay available to the public under their published licence. + +**4. Credit and moral rights.** The Company will keep the Contributor's name in the project's commit history and credits. For the purposes of section 25 of the Copyright Act 1987, the Contributor consents to the modification and adaptation of the Contributions. + +**5. Confirmation.** The Contributor confirms that: + +(a) the Contributions are the Contributor's own original work, or the Contributor has the right to assign them; + +(b) no employer or other person owns or claims the Contributions, or that person has consented in writing to the assignment in clause 2 and has given the Company a copy of its consent; and + +(c) the Contributor knows of no third party right that the Contributions infringe. + +**6. General.** No other payment is due. The Company will pay the stamp duty on this document and the cost of preparing it, and will stamp it within thirty (30) days after it is signed. The Contributor is not obliged to contribute again. The Contributor will, at the Company's request and cost, sign the documents that the Company reasonably requires to perfect its title. This document is governed by the laws of Malaysia, and the courts of Malaysia have exclusive jurisdiction. diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index 652651b20..1eeac9d65 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -31,7 +31,7 @@ These planes communicate only through bounded lock-free bridges: **Mixing planes is a correctness bug, not a style issue.** Spawning a Tokio task from Data Plane code, or calling io_uring from Control Plane code, will be rejected in review regardless of how small the change is. -Before writing any Data Plane or engine code, read `nodedb/CLAUDE.md` in full. It covers the plane rules, engine routing via `EngineRules`, serialization requirements, error handling conventions, and file size limits — all of which are enforced in review. +Before writing any Data Plane or engine code, follow these rules. Review enforces them: plane separation, engine routing through `EngineRules`, MessagePack for internal transport, typed errors, and the 500-line file limit. --- @@ -106,7 +106,7 @@ cargo nextest run --all-features # tests cargo deny check # dependency audit ``` -Key rules (full list in `nodedb/CLAUDE.md`): +Key rules: - No `.unwrap()` in library code — use `thiserror`, propagate errors - No `Result` — always typed error enums @@ -234,7 +234,11 @@ NodeDB uses a mixed-license model for its runtime and library crates: | `nodedb-types`, `nodedb-client`, `nodedb-query`, `nodedb-codec`, `nodedb-spatial`, `nodedb-graph`, `nodedb-vector`, `nodedb-vector-gpu`, `nodedb-fts`, `nodedb-strict`, `nodedb-columnar`, `nodedb-array`, `nodedb-sql`, `nodedb-physical`, `nodedb-wal`, `nodedb-mem`, `nodedb-crdt` | [Apache 2.0](LICENSE.APACHE-2.0) | | `nodedb` (server), `nodedb-bridge`, `nodedb-raft`, `nodedb-cluster` | [BUSL-1.1](LICENSE) | -**What this means for contributors:** contributions to Apache-2.0 crates are under Apache 2.0; contributions to server crates are under BUSL-1.1. No CLA is required for either. +**What this means for contributors:** you sign the Contributor Assignment Agreement (the CLA) once, before your first pull request merges. It assigns the copyright in your contributions to Biz Impulse Solutions Sdn. Bhd. and gives you a licence back to use your own code for any purpose. The code stays public under the licence of its crate: Apache 2.0 for the library crates, BUSL-1.1 for the server crates. + +## Contributor Assignment Agreement + +Our CLA assistant comments on your first pull request with a link to sign. You sign once for all later pull requests. The agreement is [CLA.md](CLA.md) in this repository. If you write code for an employer, your employer must consent in the form the agreement provides. **What this means for SDK/tool builders:** you can depend on the Apache-2.0 crates freely in your own open-source or commercial projects. The BUSL restriction only applies to the server crates — you are not affected unless you are redistributing the NodeDB server itself as a hosted service. diff --git a/LICENSE b/LICENSE index 6a32b2084..f26e8554a 100644 --- a/LICENSE +++ b/LICENSE @@ -2,9 +2,9 @@ Business Source License 1.1 Parameters -Licensor: Farhan Syah +Licensor: Biz Impulse Solutions Sdn. Bhd. Licensed Work: NodeDB - The Licensed Work is (c) 2026 Farhan Syah + The Licensed Work is (c) 2026 Biz Impulse Solutions Sdn. Bhd. Change Date: 2030-05-01 Change License: Apache License, Version 2.0 diff --git a/nodedb-array/NOTICE b/nodedb-array/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-array/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-client/NOTICE b/nodedb-client/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-client/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-codec/NOTICE b/nodedb-codec/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-codec/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-columnar/NOTICE b/nodedb-columnar/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-columnar/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-crdt/NOTICE b/nodedb-crdt/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-crdt/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-fts/NOTICE b/nodedb-fts/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-fts/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-graph/NOTICE b/nodedb-graph/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-graph/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-mem/NOTICE b/nodedb-mem/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-mem/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-physical/NOTICE b/nodedb-physical/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-physical/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-query/NOTICE b/nodedb-query/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-query/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-spatial/NOTICE b/nodedb-spatial/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-spatial/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-sql/NOTICE b/nodedb-sql/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-sql/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-strict/NOTICE b/nodedb-strict/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-strict/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-types/NOTICE b/nodedb-types/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-types/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-vector-gpu/NOTICE b/nodedb-vector-gpu/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-vector-gpu/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-vector/NOTICE b/nodedb-vector/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-vector/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-wal/NOTICE b/nodedb-wal/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-wal/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. From b622a1a8901e27ebdbb586d8db4a26447220a894 Mon Sep 17 00:00:00 2001 From: Farhan Syah Date: Wed, 21 Oct 2026 10:55:12 +0800 Subject: [PATCH 02/12] chore: set crate authors to Biz Impulse Solutions and the NodeDB contributors --- Cargo.toml | 1 + nodedb-array/Cargo.toml | 1 + nodedb-bridge/Cargo.toml | 1 + nodedb-client-tests/Cargo.toml | 1 + nodedb-client/Cargo.toml | 1 + nodedb-cluster-tests/Cargo.toml | 1 + nodedb-cluster/Cargo.toml | 1 + nodedb-codec/Cargo.toml | 1 + nodedb-columnar/Cargo.toml | 1 + nodedb-crdt/Cargo.toml | 1 + nodedb-fts/Cargo.toml | 1 + nodedb-graph/Cargo.toml | 1 + nodedb-mem/Cargo.toml | 1 + nodedb-physical/Cargo.toml | 1 + nodedb-query/Cargo.toml | 1 + nodedb-raft/Cargo.toml | 1 + nodedb-raster/Cargo.toml | 1 + nodedb-spatial/Cargo.toml | 1 + nodedb-sql/Cargo.toml | 1 + nodedb-strict/Cargo.toml | 1 + nodedb-test-support/Cargo.toml | 1 + nodedb-types/Cargo.toml | 1 + nodedb-vector-gpu/Cargo.toml | 1 + nodedb-vector/Cargo.toml | 1 + nodedb-wal/Cargo.toml | 1 + nodedb/Cargo.toml | 1 + 26 files changed, 26 insertions(+) diff --git a/Cargo.toml b/Cargo.toml index 0cec15a63..8613149b0 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -35,6 +35,7 @@ rust-version = "1.96" license = "BUSL-1.1" readme = "README.md" repository = "https://github.com/NodeDB-Lab/nodedb" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] homepage = "https://nodedb.dev" documentation = "https://docs.rs/nodedb" diff --git a/nodedb-array/Cargo.toml b/nodedb-array/Cargo.toml index 315332b3f..431c6365b 100644 --- a/nodedb-array/Cargo.toml +++ b/nodedb-array/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-bridge/Cargo.toml b/nodedb-bridge/Cargo.toml index 56d2cc32d..9d58291ec 100644 --- a/nodedb-bridge/Cargo.toml +++ b/nodedb-bridge/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-client-tests/Cargo.toml b/nodedb-client-tests/Cargo.toml index d022de19f..850be729b 100644 --- a/nodedb-client-tests/Cargo.toml +++ b/nodedb-client-tests/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true publish = false description = "End-to-end integration tests for nodedb-client. Spins up a real server via nodedb-test-support and exercises NodeDbRemote / NativeClient round-trips." diff --git a/nodedb-client/Cargo.toml b/nodedb-client/Cargo.toml index 90dfb3f9a..ba0ba399b 100644 --- a/nodedb-client/Cargo.toml +++ b/nodedb-client/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-cluster-tests/Cargo.toml b/nodedb-cluster-tests/Cargo.toml index 2ddb736c0..db1073ec4 100644 --- a/nodedb-cluster-tests/Cargo.toml +++ b/nodedb-cluster-tests/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true publish = false description = "3-node integration test suite for NodeDB. Heavy; runs in its own CI stage." diff --git a/nodedb-cluster/Cargo.toml b/nodedb-cluster/Cargo.toml index c8c04a79b..b00d9a661 100644 --- a/nodedb-cluster/Cargo.toml +++ b/nodedb-cluster/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-codec/Cargo.toml b/nodedb-codec/Cargo.toml index 712a4a6a2..dba0c82a5 100644 --- a/nodedb-codec/Cargo.toml +++ b/nodedb-codec/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-columnar/Cargo.toml b/nodedb-columnar/Cargo.toml index 69d2727ca..bb7f09ebc 100644 --- a/nodedb-columnar/Cargo.toml +++ b/nodedb-columnar/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-crdt/Cargo.toml b/nodedb-crdt/Cargo.toml index e5e100bf7..5cba16cb5 100644 --- a/nodedb-crdt/Cargo.toml +++ b/nodedb-crdt/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-fts/Cargo.toml b/nodedb-fts/Cargo.toml index 78fd19768..565314f0f 100644 --- a/nodedb-fts/Cargo.toml +++ b/nodedb-fts/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-graph/Cargo.toml b/nodedb-graph/Cargo.toml index 6b2555ca0..50b09aaa1 100644 --- a/nodedb-graph/Cargo.toml +++ b/nodedb-graph/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-mem/Cargo.toml b/nodedb-mem/Cargo.toml index 19d1d79dd..d50deff43 100644 --- a/nodedb-mem/Cargo.toml +++ b/nodedb-mem/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-physical/Cargo.toml b/nodedb-physical/Cargo.toml index 2dca5186c..d8c360e7f 100644 --- a/nodedb-physical/Cargo.toml +++ b/nodedb-physical/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-query/Cargo.toml b/nodedb-query/Cargo.toml index 666178a06..144dec761 100644 --- a/nodedb-query/Cargo.toml +++ b/nodedb-query/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-raft/Cargo.toml b/nodedb-raft/Cargo.toml index 50ac35058..4c99eed5d 100644 --- a/nodedb-raft/Cargo.toml +++ b/nodedb-raft/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-raster/Cargo.toml b/nodedb-raster/Cargo.toml index b2c2a63c3..f4d530380 100644 --- a/nodedb-raster/Cargo.toml +++ b/nodedb-raster/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] repository.workspace = true homepage.workspace = true documentation = "https://docs.rs/nodedb-raster" diff --git a/nodedb-spatial/Cargo.toml b/nodedb-spatial/Cargo.toml index 41cd9614a..3336ad7a7 100644 --- a/nodedb-spatial/Cargo.toml +++ b/nodedb-spatial/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-sql/Cargo.toml b/nodedb-sql/Cargo.toml index f06dc6ab9..f6daf7936 100644 --- a/nodedb-sql/Cargo.toml +++ b/nodedb-sql/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-strict/Cargo.toml b/nodedb-strict/Cargo.toml index 469707742..7bfa0cbc9 100644 --- a/nodedb-strict/Cargo.toml +++ b/nodedb-strict/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-test-support/Cargo.toml b/nodedb-test-support/Cargo.toml index ba22e37a3..9db699c65 100644 --- a/nodedb-test-support/Cargo.toml +++ b/nodedb-test-support/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true publish = false description = "Shared test harness for NodeDB integration tests (not for end-user consumption)." diff --git a/nodedb-types/Cargo.toml b/nodedb-types/Cargo.toml index 646fcb604..db64dda1a 100644 --- a/nodedb-types/Cargo.toml +++ b/nodedb-types/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-vector-gpu/Cargo.toml b/nodedb-vector-gpu/Cargo.toml index 035e2eaf5..c5e123e85 100644 --- a/nodedb-vector-gpu/Cargo.toml +++ b/nodedb-vector-gpu/Cargo.toml @@ -5,6 +5,7 @@ edition.workspace = true rust-version.workspace = true publish = false license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-vector/Cargo.toml b/nodedb-vector/Cargo.toml index 0291ef1ef..7e509960b 100644 --- a/nodedb-vector/Cargo.toml +++ b/nodedb-vector/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb-wal/Cargo.toml b/nodedb-wal/Cargo.toml index db6938905..37a135bfa 100644 --- a/nodedb-wal/Cargo.toml +++ b/nodedb-wal/Cargo.toml @@ -5,6 +5,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository.workspace = true homepage.workspace = true diff --git a/nodedb/Cargo.toml b/nodedb/Cargo.toml index 633e841e6..06109907b 100644 --- a/nodedb/Cargo.toml +++ b/nodedb/Cargo.toml @@ -4,6 +4,7 @@ version.workspace = true edition.workspace = true rust-version.workspace = true license.workspace = true +authors.workspace = true readme = "README.md" repository.workspace = true homepage.workspace = true From 991151f4e02346f01070548c6496761ffe0cfa51 Mon Sep 17 00:00:00 2001 From: Farhan Syah Date: Wed, 21 Oct 2026 10:55:31 +0800 Subject: [PATCH 03/12] docs(raster): add NOTICE file Add a NOTICE file to nodedb-raster, matching the other Apache-2.0 library crates. --- nodedb-raster/NOTICE | 2 ++ 1 file changed, 2 insertions(+) create mode 100644 nodedb-raster/NOTICE diff --git a/nodedb-raster/NOTICE b/nodedb-raster/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-raster/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. From 2c7f1ecdf8adcec735b8f5e4d79c257a35154bd3 Mon Sep 17 00:00:00 2001 From: Farhan Syah Date: Wed, 21 Oct 2026 21:38:57 +0800 Subject: [PATCH 04/12] docs: document spatial reference systems, array attributes, GeoTIFF load, and bitemporal graph reads --- CONTRIBUTING.md | 2 +- docs/array.md | 224 ++++++++++++++++++++++++++++++++-- docs/bitemporal.md | 40 ++++++ docs/getting-started.md | 13 +- docs/graph.md | 47 +++++-- docs/real-time.md | 2 + docs/security/auth.md | 9 ++ docs/security/encryption.md | 57 +++++++++ docs/spatial.md | 236 ++++++++++++++++++++++++++++++------ 9 files changed, 571 insertions(+), 59 deletions(-) diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index 1eeac9d65..3211483bd 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -231,7 +231,7 @@ NodeDB uses a mixed-license model for its runtime and library crates: | Crates | License | | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | -------------------------------- | -| `nodedb-types`, `nodedb-client`, `nodedb-query`, `nodedb-codec`, `nodedb-spatial`, `nodedb-graph`, `nodedb-vector`, `nodedb-vector-gpu`, `nodedb-fts`, `nodedb-strict`, `nodedb-columnar`, `nodedb-array`, `nodedb-sql`, `nodedb-physical`, `nodedb-wal`, `nodedb-mem`, `nodedb-crdt` | [Apache 2.0](LICENSE.APACHE-2.0) | +| `nodedb-types`, `nodedb-srid`, `nodedb-crs`, `nodedb-client`, `nodedb-query`, `nodedb-codec`, `nodedb-spatial`, `nodedb-graph`, `nodedb-vector`, `nodedb-vector-gpu`, `nodedb-fts`, `nodedb-strict`, `nodedb-columnar`, `nodedb-array`, `nodedb-raster`, `nodedb-raster-load`, `nodedb-sql`, `nodedb-physical`, `nodedb-wal`, `nodedb-mem`, `nodedb-crdt` | [Apache 2.0](LICENSE.APACHE-2.0) | | `nodedb` (server), `nodedb-bridge`, `nodedb-raft`, `nodedb-cluster` | [BUSL-1.1](LICENSE) | **What this means for contributors:** you sign the Contributor Assignment Agreement (the CLA) once, before your first pull request merges. It assigns the copyright in your contributions to Biz Impulse Solutions Sdn. Bhd. and gives you a licence back to use your own code for any purpose. The code stays public under the licence of its crate: Apache 2.0 for the library crates, BUSL-1.1 for the server crates. diff --git a/docs/array.md b/docs/array.md index dd5777d26..d051a167b 100644 --- a/docs/array.md +++ b/docs/array.md @@ -64,6 +64,7 @@ An attribute stores each cell at its declared width. A value outside the width i | Type | Aliases | Range | Column type (OID) | | --------- | -------------------------- | ---------------------------------- | ------------------------- | +| `INT8` | `TINYINT` | -128 to 127 | `smallint` (21) | | `UINT8` | | 0 to 255 | `smallint` (21) | | `INT16` | `SMALLINT`, `INT2` | -32768 to 32767 | `smallint` (21) | | `UINT16` | | 0 to 65535 | `integer` (23) | @@ -76,12 +77,57 @@ An attribute stores each cell at its declared width. A value outside the width i | `BYTES` | `BLOB`, `BYTEA` | raw bytes | `bytea` (17) | - An unsigned type reads as the next wider signed column type, so every stored value fits. +- The canonical names give the width in bits, so `INT8` is the 1-byte signed type, like `UINT8`. This differs from PostgreSQL, where `int8` is an 8-byte integer. For an 8-byte attribute, write `INT64` or `BIGINT`. Collections keep the PostgreSQL meaning of `INT8`. +- The PostgreSQL aliases give the width in bytes: `INT2` is `INT16` and `INT4` is `INT32`. - `INT` is the 4-byte `INT32`, as in PostgreSQL. A bare `FLOAT` is the 8-byte `FLOAT64`. +- A GeoTIFF band of signed 8-bit samples loads into `INT8` or any wider signed or float type. A band of signed 32-bit samples loads into `INT32`, `INT64`, or `FLOAT64`. - A float written to a `FLOAT32` attribute rounds to the nearest `f32`. Only a finite value past the `f32` range is refused. `0.1` stored as `FLOAT32` reads back as `0.1`. - An integer literal is accepted by every integer and float type. A float literal is accepted by `FLOAT32` and `FLOAT64` only. - An integer column compresses by its value range, so a `UINT16` column takes the same bytes on disk as an `INT64` column of the same values. A `FLOAT32` column stores at most 4 bytes per value, half the raw width of `FLOAT64`. - A `NULL` stays `NULL` through a flush and a compaction, in every type. +### Attribute Metadata + +An attribute can carry reading metadata after its type: `NODATA`, `SCALE`, `OFFSET`, and `UNITS`, in any order and mixed with `NOT NULL`. + +```sql +CREATE ARRAY scene + DIMS (row INT64 [0..10979], col INT64 [0..10979]) + ATTRS ( + red UINT16 NODATA 0 SCALE 0.0000275 OFFSET -0.2 UNITS 'reflectance', + qa UINT8 NOT NULL + ) + TILE_EXTENTS (512, 512); +``` + +| Clause | Applies to | Meaning | +| -------- | ----------------- | ------- | +| `NODATA` | numeric attributes | The raw value that marks a cell as holding no data. A number, `NAN`, `INF`, or `'-inf'` (quoted). | +| `SCALE` | numeric attributes | The factor a physical read multiplies the raw value by. Finite and non-zero. | +| `OFFSET` | numeric attributes | The term a physical read adds after the scale. Finite. | +| `UNITS` | every attribute | The unit of the physical value, as a quoted string. Not empty. | + +- A cell stores the raw value. Metadata never changes a stored cell. +- `NODATA` must be a value of the attribute type: a whole number in range for an integer type, and a value inside the `f32` range (or `NAN`, `INF`, `'-inf'`) for `FLOAT32`. A value the type cannot hold is refused with SQLSTATE `22000`. +- A `FLOAT32` cell matches the nearest `f32` of `NODATA`, as GDAL compares. `NAN` matches `NAN`. +- A physical read gives `raw * scale + offset` as `FLOAT64`. A missing `SCALE` reads as 1 and a missing `OFFSET` as 0. A nodata cell reads as `NULL`. See `physical => true` on [`ARRAY_SLICE`](#array_slice--range-query) and [`ARRAY_AGG`](#array_agg--aggregate-an-attribute). +- Nodata is not data: `ARRAY_AGG` skips a nodata cell for every reducer, `COUNT` included, with or without `physical`. +- `DESCRIBE` shows the metadata after the type, in the DDL form that recreates it: `UINT16 NODATA 0.0 SCALE 2.75e-5 OFFSET -0.2 UNITS 'reflectance'`. + +Change the metadata with `ALTER ARRAY`: + +```sql +-- Set or replace fields. A field the clause omits keeps its value. +ALTER ARRAY scene ALTER ATTR red SET (NODATA 0, SCALE 0.0000275); + +-- Remove fields. Each named field must be set (SQLSTATE 55000 otherwise). +ALTER ARRAY scene ALTER ATTR red DROP OFFSET, UNITS; +``` + +Metadata is not part of the schema hash. Setting or dropping it keeps every stored segment readable and replicates through the array catalog. An unknown attribute is refused with SQLSTATE `42703`. + +`COPY FROM '.tif' WITH (FORMAT geotiff)` picks a pixel's nodata in this order: the COPY `NODATA` option, then the file's `GDAL_NODATA`, then each attribute's `NODATA`. The first two apply to every band. Attribute metadata gives each band the nodata of the attribute it loads into. A pixel is skipped when every loaded band holds its own nodata. A band that holds nodata in a kept pixel writes `NULL`. + ## Examples ### Basic Creation and Insertion @@ -166,6 +212,14 @@ SELECT * FROM ARRAY_SLICE( | `bounds` | Yes | STRING | Quoted object literal `'{ dim: [lo, hi] }'`. Each range is closed: both ends are included. Omitted dims = full range | | `attrs` | No | ARRAY[STRING] | Attributes to project, such as `['height']`. `'*'` = all attributes. Omit it to read all attributes | | `limit` | No | INT | Max cells returned, as a non-negative integer literal. Omit it for no limit | +| `physical => true` | No | BOOL | Named argument. Read each attribute physically: `raw * scale + offset` as `double precision` for an attribute with a `SCALE` or `OFFSET`, and `NULL` for a nodata cell. Default `false` | + +`ARRAY_SLICE` takes one named argument, `physical`. `ARRAY_PROJECT` and `ARRAY_ELEMENTWISE` take none. An unknown named argument, or `=` in place of `=>`, is refused: + +```sql +SELECT x, y, red +FROM ARRAY_SLICE('scene', '{row: [0, 511], col: [0, 511]}', ['red'], physical => true); +``` #### Result Relation @@ -173,7 +227,7 @@ SELECT * FROM ARRAY_SLICE( | Declared type | Column type | | ------------- | ------------------ | -| `UINT8`, `INT16` (attribute only) | `smallint` | +| `INT8`, `UINT8`, `INT16` (attribute only) | `smallint` | | `UINT16`, `INT32` (attribute only) | `integer` | | `UINT32` (attribute only) | `bigint` | | `INT64` | `bigint` | @@ -238,20 +292,48 @@ SELECT * FROM ARRAY_AGG('spatial_grid', 'temperature', 'SUM'); SELECT * FROM ARRAY_AGG('spatial_grid', 'temperature', 'SUM', 'x'); ``` -The result has a `result` column. A grouped call also has a `group` column that holds the dimension value. The `group` column takes the group dimension's declared type: `TIMESTAMP_MS` gives `timestamp`, `FLOAT64` gives `float8`, `INT64` gives `int8`, and `STRING` gives `text`. A temporal call (`AS OF`) appends one summary row with the `bool` column `truncated_before_horizon`. Reducers are case-insensitive: `'SUM'`, `'COUNT'`, `'MIN'`, `'MAX'`, and `'MEAN'` (or `'AVG'`). +The result has a `result` column. A grouped call also has a `group` column that holds the dimension value. The `group` column takes the group dimension's declared type: `TIMESTAMP_MS` gives `timestamp`, `FLOAT64` gives `float8`, `INT64` gives `int8`, and `STRING` gives `text`. A temporal call (`AS OF`) appends one summary row with the `bool` column `truncated_before_horizon`. Reducer names are case-insensitive. -The `result` type follows the reducer and the attribute type: +| Reducer | Parameters | Integer attribute | Float attribute | Definition | +| ------- | ---------- | ----------------- | --------------- | ---------- | +| `'count'` | — | `bigint` | `bigint` | The non-null, non-nodata cells. | +| `'sum'` | — | `bigint`, exact | `double precision` | | +| `'min'`, `'max'` | — | the attribute's own column type, exact | the attribute's own column type | `NaN` sorts above every other float. | +| `'mean'` (`'avg'`) | — | `double precision` | `double precision` | Sum over count, merged exactly. | +| `'median'` | — | `double precision` | `double precision` | `'percentile'` with `p => 0.5`. | +| `'percentile'` | `p => 0..1` | `double precision` | `double precision` | Exact. With `N` values sorted ascending and numbered from 0, the value at rank `h = p * (N - 1)`: `v[floor(h)] + (h - floor(h)) * (v[ceil(h)] - v[floor(h)])`. This is PostgreSQL's `percentile_cont`. | +| `'mode'` | — | the attribute's own column type | the attribute's own column type | The value the most cells hold. Among ties, the smallest value. | +| `'var_pop'`, `'var_samp'` (`'variance'`) | — | `double precision` | `double precision` | Population variance `m2 / N`, sample variance `m2 / (N - 1)`. `'variance'` is the sample form, as in PostgreSQL. | +| `'stddev_pop'`, `'stddev_samp'` (`'stddev'`) | — | `double precision` | `double precision` | Square roots of the variances. `'stddev'` is the sample form. | +| `'histogram'` | `bins => 1..65536`, `lo => n`, `hi => n` | see below | see below | Fixed-width bin counts over `[lo, hi]`. | -| Reducer | Integer attribute | Float attribute | -| ------------- | -------------------------------------- | ------------------ | -| `COUNT` | `bigint` | `bigint` | -| `SUM` | `bigint`, exact | `double precision` | -| `MIN` / `MAX` | the attribute's own column type, exact | the attribute's own column type | -| `MEAN` | `double precision` | `double precision` | +`ARRAY_AGG` takes these named arguments after its positional ones: `p`, `bins`, `lo`, `hi`, and `physical`. A reducer refuses a parameter it does not take, and refuses to run without one it needs. An unknown named argument, or `=` in place of `=>`, is refused. -`SUM`, `MEAN`, `MIN`, and `MAX` accept integer and float attributes only. `COUNT` accepts every attribute type. Another reducer over a `STRING` or `BYTES` attribute is refused at plan time with a type mismatch error. +```sql +-- 90th percentile of reflectance per scene date, physical values +SELECT * FROM ARRAY_AGG('scene', 'red', 'percentile', 'date', p => 0.9, physical => true); + +-- Population standard deviation of the whole array +SELECT * FROM ARRAY_AGG('scene', 'red', 'stddev_pop'); +``` + +A histogram splits `[lo, hi]` into `bins` bins of width `(hi - lo) / bins`. Bin `i` holds the values in `[lo + i*w, lo + (i+1)*w)`, and the last bin also holds `hi`. A value below `lo`, above `hi`, or `NaN` falls in no bin and is not counted. A histogram returns one row per bin, zero-count bins included, with `bin_lo` and `bin_hi` (`double precision`) and `count` (`bigint`) in place of `result`. A grouped histogram returns one row per bin per group, after `group`: + +```sql +SELECT * FROM ARRAY_AGG('scene', 'ndvi', 'histogram', bins => 4, lo => -1, hi => 1); +-- bin_lo | bin_hi | count +-- --------+--------+------- +-- -1 | -0.5 | 12 +-- -0.5 | 0 | 40 +-- 0 | 0.5 | 311 +-- 0.5 | 1 | 145 +``` -An integer `SUM` adds exactly, so `2^53 + 1` stays `9007199254740993`. A `SUM` past the `bigint` range is refused with SQLSTATE `22003`. `MIN` and `MAX` sort `NaN` above every other float, as PostgreSQL does. +Every reducer accepts integer and float attributes. `COUNT` also accepts `STRING` and `BYTES`. Another reducer over a `STRING` or `BYTES` attribute is refused at plan time with a type mismatch error. Every reducer groups by a dimension. + +Every reducer is exact across tiles, cores, and nodes: each core and shard sends a partial that merges without loss. An integer `SUM` adds exactly, so `2^53 + 1` stays `9007199254740993`. A `SUM` past the `bigint` range is refused with SQLSTATE `22003`. `'median'`, `'percentile'`, and `'mode'` carry every distinct value with its count. They hold at most 4,194,304 distinct values per group, about 64 MiB. Past that budget the query is refused with SQLSTATE `54000`, never approximated. An integer attribute of 16 bits or less never reaches the budget. To stay under it on a wide attribute, narrow the box or zone, or group by a dimension. The variances use Welford's method, merged by Chan's formula. + +With `physical => true`, every reducer reads `raw * scale + offset` for an attribute with a `SCALE` or `OFFSET`, so the result type is that of a `FLOAT64` attribute. A nodata cell never contributes, with or without `physical`. An attribute whose every cell in the region is nodata returns `NULL` for every scalar reducer, `COUNT` included. Three more optional arguments bound the cells the reducer reads: @@ -317,6 +399,126 @@ SELECT ARRAY_COMPACT('spatial_grid'); Returns one object `{"compacted": n}`. `n` counts the cores that merged segments. It is `0` when the compaction picker found nothing to merge. A failure raises an error. Compaction is background-automatic, but can be triggered manually. +## Bulk Load: COPY + +`COPY FROM STDIN` and `COPY FROM '.csv'` load CSV rows: the dims in schema order, then the attributes. `COPY FROM ... WITH (FORMAT geotiff)` loads a raster. Every `COPY ... FROM` needs a superuser. + +### Raster Sources + +```sql +-- One file: band i loads into attribute i. +COPY scene FROM '/data/LC09_SR.tif' WITH (FORMAT geotiff, TIME '2024-03-15T03:12:00Z'); + +-- One file per band group, read in lockstep: each cell gets every attribute. +COPY scene FROM ( + 's3://usgs-landsat/collection02/level-2/.../LC09_..._SR_B4.TIF', + 's3://usgs-landsat/collection02/level-2/.../LC09_..._SR_B5.TIF', + 's3://usgs-landsat/collection02/level-2/.../LC09_..._QA_PIXEL.TIF' +) WITH (FORMAT geotiff, BANDS (red, nir, qa), CREDENTIAL landsat, REQUESTER_PAYS true, + TIME '2024-03-15T03:12:00Z'); + +-- An HTTPS source behind Earthdata Login. +COPY scene FROM 'https://data.lpdaac.earthdatacloud.nasa.gov/.../HLS.S30....B04.tif' + WITH (FORMAT geotiff, CREDENTIAL earthdata); +``` + +A source is one of: + +| Source | Read with | +| ---------------------- | --------- | +| `'/abs/path.tif'` | Positional reads of a server file. The path must be absolute and hold no `..`. | +| `'https://host/a.tif'` | HTTP range requests through the egress policy. | +| `'s3://bucket/key'` | Ranged S3 `GET`s through the egress policy. | + +- A list `('', '', ...)` loads one raster per band group. The bands of the load are every source's bands in source order. `BANDS` maps them in that order. +- Every source of one COPY shares one image size, geotransform, CRS and block layout. A mismatch is refused with SQLSTATE `22023` naming the source and what differs. +- The load reads the same block index from every source, decodes them, and writes one cell per pixel with every attribute. A cell write carries the full attribute vector, so loading band files one COPY at a time overwrites earlier attributes. Use one COPY with a source list instead. +- A remote answer must be `206 Partial Content` with a `Content-Range` that names the same total length every time. The first strong `ETag` is pinned and sent as `If-Match` on every later request. A source that changes mid-load fails with `55000`. A server that ignores `Range` (`200`) is refused with `0A000`. +- An S3 object pins its size and ETag the same way. Without a credential the bucket is read unsigned, in the region AWS reports for it. +- Text formats read one server file. An HTTP or S3 source and a source list need `FORMAT geotiff` or a `.tif` / `.tiff` path. + +### Raster Options + +| Option | Meaning | +| ---------------------------- | ------- | +| `BANDS (a, SKIP, b)` | Where each band of the load goes. Without it, band `i` loads into attribute `i`. | +| `NODATA ` | The nodata of every band, in place of the file's. | +| `TIME ''` | The instant the one `TIMESTAMP` dim takes for every cell. | +| `CREDENTIAL ` | The credential remote sources authenticate with. | +| `REQUESTER_PAYS true` | An S3 read bills the credential's account. | +| `OVERVIEW ` | Read image `n`: 0 is full resolution, 1 the first overview. The geotransform scales with the overview, so the array's GEOREF must be on the overview grid. | +| `WINDOW (x0, y0, x1, y1)` | Load the pixel columns `x0..x1` and rows `y0..y1` only (half-open). The load fetches only the blocks the window touches. The window's footprint alone must fit the dim domains. | +| `ADOPT_METADATA true` | An attribute with no metadata takes the band's nodata, scale, offset and units from the file. Default `false`: a load never changes the schema unasked. | + +- A band loads only into an attribute that holds every value of its sample type exactly (`42804` otherwise). +- A pixel the file masks out (an internal mask, or the band's own LERC mask) holds no data in that band. A pixel where no loaded band holds data is skipped. A band with no data in a kept pixel writes `NULL`, or is refused with `23502` when the attribute is `NOT NULL`. +- `ADOPT_METADATA` changes the schema, so it runs outside a transaction block only (`25001`). An attribute with any metadata keeps all of it. + +### Credentials + +```sql +CREATE CREDENTIAL landsat (TYPE 's3', ACCESS_KEY_ID 'AKIA...', SECRET_ACCESS_KEY '...', + REGION 'us-west-2', SESSION_TOKEN '...'); +CREATE CREDENTIAL minio (TYPE 's3', ACCESS_KEY_ID '...', SECRET_ACCESS_KEY '...', + REGION 'us-east-1', ENDPOINT 'https://minio.internal:9000'); +CREATE CREDENTIAL earthdata (TYPE 'bearer', TOKEN 'eyJ...'); +CREATE CREDENTIAL blob (TYPE 'sas', TOKEN 'sv=2022-11-02&sig=...'); +SHOW CREDENTIALS; +DROP CREDENTIAL [IF EXISTS] earthdata; +``` + +- Every credential statement needs a superuser (`42501`). A credential belongs to the tenant that created it. +- `TYPE 'bearer'` sends `Authorization: Bearer `. `TYPE 'sas'` appends the token to the URL query. `TYPE 's3'` signs S3 requests. +- The secret is sealed with AES-256-GCM before the statement proposes it, so the metadata log, the catalog and every snapshot hold ciphertext only. The key is the `[credential_encryption]` key file. Every node of a cluster needs the same file. +- `SHOW CREDENTIALS` lists the name, type, owner and creation time. No statement, error message or audit record shows a secret. +- Without `[credential_encryption]`, `CREATE CREDENTIAL` and `COPY ... CREDENTIAL` are refused with `55000`. + +### Egress Policy + +One `[egress]` policy governs every outbound request: remote sources, JWKS fetches, change-stream and alert webhooks, SIEM export, OTLP trace and metrics export, and the Vault key provider. A request reaches only what the policy allows: + +- `https://` only. `http://` needs the host on the allow-list. +- No IP-literal host, at any hop. +- Every address a host resolves to must be global unicast. An IPv6 address that embeds an IPv4 address (IPv4-mapped, IPv4-compatible, NAT64 `64:ff9b::/96`, 6to4 `2002::/16`) passes only when that IPv4 address does. Teredo, site-local, discard-only and NAT64 local-use addresses never pass. A host on the allow-list may also resolve into `allow_cidrs`. +- Every redirect hop is checked, and every resolved address is checked at connect time, so a rebinding DNS answer never reaches a private address. +- The `ENDPOINT` of an S3 credential passes the policy at `CREATE CREDENTIAL` and again at every `COPY`. + +```toml +[egress] +allow_http = false +allow_hosts = ["mirror.internal"] +allow_cidrs = ["10.42.0.0/16"] + +[credential_encryption] +# 32 bytes, mode 0600, owned by the server's user: +# head -c 32 /dev/urandom > /etc/nodedb/keys/credential.key +key_path = "/etc/nodedb/keys/credential.key" +``` + +A refused URL or address is `42501`. + +### Memory and Planes + +At most 8 range fetches run at once, and close ranges merge into one request. Decoded block sets queue two deep between the reader and the load. Network reads run on the Control Plane, decoding on its blocking pool. The Data Plane receives only the array writes. + +### Raster Load Errors + +| SQLSTATE | Cause | +| -------- | ----- | +| `22023` | A CRS, grid, block layout or window mismatch, or a nodata value the sample type cannot hold. | +| `22003` | A footprint or `TIME` outside a dim domain. | +| `22P04` | A malformed or corrupt file, or a malformed HTTP answer. | +| `0A000` | A file feature the reader lacks, a missing overview, or a server that ignores `Range`. | +| `23502` | No data for a `NOT NULL` attribute. | +| `28000` | The remote source refused the credentials (HTTP 401 or 403). | +| `42501` | The egress policy refused a URL or address. | +| `42704` | An unknown credential. | +| `42804` | A band type the attribute cannot hold exactly. | +| `54000` | A block or header over the decode cap. | +| `55000` | No GEOREF, no credential key, or a source that changed mid-load. | +| `58030` | A source that cannot be read or does not exist. | +| `08006` | A connection to a remote source failed. | + ## Bitemporal Support Arrays support dual timestamping: diff --git a/docs/bitemporal.md b/docs/bitemporal.md index 8023a3526..cbae47f5d 100644 --- a/docs/bitemporal.md +++ b/docs/bitemporal.md @@ -133,6 +133,31 @@ SELECT lon, lat, temp_c FROM ARRAY_SLICE( AS OF SYSTEM TIME '2026-06-06T00:00:00Z'; ``` +### Relationship Timelines (Graph) + +Every edge write is a new version. A graph read takes the same `AS OF` clauses, and a write names an edge's valid time with `VALID_TIME ... UNTIL ...`: + +```sql +-- Alice reports to Bob for the first half of 2025. +GRAPH INSERT EDGE IN 'org' FROM 'alice' TO 'bob' TYPE 'reports_to' + VALID_TIME '2025-01-01T00:00:00Z' UNTIL '2025-07-01T00:00:00Z'; + +-- Then to Carol. +GRAPH INSERT EDGE IN 'org' FROM 'alice' TO 'carol' TYPE 'reports_to' + VALID_TIME '2025-07-01T00:00:00Z'; + +-- Who Alice reported to on 2025-03-01. +GRAPH NEIGHBORS IN 'org' OF 'alice' AS OF VALID TIME '2025-03-01T00:00:00Z'; + +-- The reporting chain as the database held it at a past moment. +GRAPH TRAVERSE FROM 'alice' IN 'org' DEPTH 5 AS OF SYSTEM TIME 1735689600000; + +-- Influence as of that moment. +GRAPH ALGO PAGERANK ON org AS OF SYSTEM TIME 1735689600000; +``` + +`GRAPH TRAVERSE`, `GRAPH NEIGHBORS`, `GRAPH PATH`, `MATCH`, `GRAPH ALGO` and `GRAPH RAG FUSION` read one cut per statement, on one node or across a cluster. `AS OF SYSTEM TIME NULL` and a valid-time range are refused on graph reads. See [Graph](graph.md#bitemporal-support). + ### Lineage and Compliance Track row lineage across corrections: @@ -164,6 +189,21 @@ ORDER BY _ts_system ASC; `AS OF SYSTEM TIME NULL` returns every system-time version of each matching row, ordered ascending. Each version row carries the user columns plus three synthetic temporal columns: `_ts_system`, `_ts_valid_from`, and `_ts_valid_until`. Unbounded valid-time ends surface as the raw `i64::MIN` / `i64::MAX` sentinels (matching the Columnar and Timeseries engines). It is supported on the Document (strict and schemaless), Columnar, and Timeseries engines, and on `ARRAY_SLICE`. An `ARRAY_SLICE` version row carries the dimension and attribute columns plus `_ts_system` only. It is not supported on the Graph engine or on `ARRAY_AGG`, nor when reading through a database clone — those return a typed error rather than collapsing to a single version. +**Deletes in the audit log.** A `DELETE` and a `TRUNCATE` close a row with a delete version. On Columnar, an `UPDATE` that changes the primary key closes the old key the same way. The audit log shows each delete version as a row, on the Document (strict and schemaless) and Columnar engines alike: + +- `_ts_system` is the system time of the delete. +- `_ts_valid_from` and `_ts_valid_until` are both `i64::MIN`. The empty valid interval marks the row as a delete. +- The row repeats the cells of the version it closes, the row's key among them. +- A delete version leaves the audit log with the version it closes. Once retention or a GDPR erasure removes that version, the delete version no longer shows. + +To list only delete versions, filter on `_ts_valid_from = _ts_valid_until`. To hide them, filter on `_ts_valid_from < _ts_valid_until`. A read at a cut (`AS OF SYSTEM TIME `) never returns a delete version: a row deleted at or before the cut is absent. An `AS OF VALID TIME` filter never matches a delete version, since no instant falls inside an empty interval. + +Document versions and graph edge versions take their system time from one clock. A `MATCH` reads its node documents at the same cut as its edges, so a node's properties and its edges answer the same moment. `_ts_system` shows the version's millisecond. Versions written within one millisecond keep their write order. `AS OF SYSTEM TIME ` covers every version written up to the end of that millisecond. The versions one transaction writes on one shard share one system time. A cross-shard transaction that commits through the Calvin sequencer shares one system time on every shard. + +One statement reads one cut. Every `AS OF SYSTEM TIME` read of a statement, both sides of a join included, reads at the same instant, on every core and every node. A time past the moment the statement is planned reads the state at that moment. A write that commits later never appears in that statement, and the next statement takes a fresh cut. + +In a multi-node cluster, a write that commits outside the Calvin sequencer takes its system time from the clock of the node that writes it. A statement's cut includes it only when that clock is not ahead of the planning node's clock, after the planning node has applied every write it holds. Keep node clocks synchronized (NTP or PTP): a write committed just before a statement can fall outside the statement's cut by up to the clock skew between the two nodes. Writes through the Calvin sequencer and writes on a single node have no such bound. + `AS OF` reads run at parity with non-temporal reads: `WHERE` predicates (including on strict Binary-Tuple collections), `ORDER BY`, computed columns, and window functions all apply to temporal queries. **Reserved columns never leak.** Bitemporal collections store their temporal envelope in reserved columns (`__system_from_ms`, `__valid_from_ms`, `__valid_until_ms`). These are hidden from user projections: `SELECT *` on a bitemporal collection returns exactly the declared user columns. Temporal data is only exposed through the synthetic `_ts_*` columns of audit queries. diff --git a/docs/getting-started.md b/docs/getting-started.md index f41858104..e79076af3 100644 --- a/docs/getting-started.md +++ b/docs/getting-started.md @@ -335,7 +335,9 @@ key_path = "/etc/nodedb/keys/wal.key" With `pitr.enabled = true`, startup stops unless `[cold_storage]` is configured and opens, and unless `[encryption]` is configured. The WAL archive is the only copy of a segment once a checkpoint deletes it locally. Base -snapshots are encrypted with the WAL key. With `pitr.enabled = false` and no +snapshots are encrypted with the WAL key, which `[encryption]` reads from +`key_path` or from Vault or AWS KMS (see `security/encryption.md`). With +`pitr.enabled = false` and no `[cold_storage]`, checkpoints delete WAL segments without archiving them. Archived segments are stored under `{prefix}wal/{node_id}/{incarnation}/`. @@ -661,8 +663,13 @@ Each value must be between `1` and `86400000` (one day). Both keys belong under | `observability.otlp.export.metrics_interval_secs` | `NODEDB_OTLP_EXPORT_INTERVAL` | `15` | | `observability.debug_endpoints_enabled` | `NODEDB_DEBUG_ENDPOINTS_ENABLED` | `false` | -`NODEDB_OTLP_EXPORT_ENDPOINT` takes an `http://` or `https://` URL. The debug -endpoints expose raft internals, so they stay off until you enable them. +`NODEDB_OTLP_EXPORT_ENDPOINT` takes an `http://` or `https://` URL with a DNS +host. With export enabled, the server pushes its metrics to +`/v1/metrics` every `metrics_interval_secs` and its trace spans to +`/v1/traces`. Both go through the `[egress]` policy: a collector on a private +network, or one reached over `http://`, needs its host on `allow_hosts` and its +addresses in `allow_cidrs`. The debug endpoints expose raft internals, so they +stay off until you enable them. ### Startup validation diff --git a/docs/graph.md b/docs/graph.md index 244bf0fae..689443628 100644 --- a/docs/graph.md +++ b/docs/graph.md @@ -379,6 +379,7 @@ Variable-length `[*min..max]` MATCH expansion is bounded by operational knobs in | `varlen_max_frontier`| 100000 | Cap on the live per-hop frontier; overflow pages via resume. | | `max_depth` | 10 | Maximum traversal depth. | | `max_visited` | 100000 | Memory budget on visited nodes. | +| `max_historical_csr_cache_entries` | 8 | Historical CSRs one core keeps for `AS OF` reads. `0` keeps none. | Resume cursors work both locally and across shards, so a capped expansion continues from where it stopped instead of failing. @@ -386,25 +387,51 @@ Resume cursors work both locally and across shards, so a capped expansion contin ## Bitemporal Support -Graph edges support both system time and valid time, enabling relationship timelines and historical traversal. +Every edge write is versioned. Each version carries the system time of its write and a valid time `[from, until)`. Graph reads take `AS OF SYSTEM TIME` and `AS OF VALID TIME`. ```sql --- Insert an edge that becomes valid in the future (scheduled relationship) +-- An edge valid from a set date. Without VALID_TIME the write's own time +-- starts the valid time. Without UNTIL it stays open. GRAPH INSERT EDGE IN 'edges' FROM 'user:alice' TO 'project:rocket' TYPE 'assigned_to' PROPERTIES { assigned_date: '2026-05-01' } - VALID_TIME '2026-05-01T00:00:00Z'; + VALID_TIME '2026-05-01T00:00:00Z' UNTIL '2026-09-01T00:00:00Z'; --- Query the graph as it existed at a past moment -GRAPH TRAVERSE FROM 'user:alice' DEPTH 2 -AS OF SYSTEM TIME 1700000000000; +-- The graph as it stood at a past moment. +GRAPH TRAVERSE FROM 'user:alice' IN 'edges' DEPTH 2 + AS OF SYSTEM TIME 1700000000000; --- Query relationships that were valid at a specific date -MATCH (u:User)-[:assigned_to]->(p:Project) -WHERE u.id = 'alice' -AS OF VALID TIME 1746086400000; -- May 1, 2026 +GRAPH NEIGHBORS IN 'edges' OF 'user:alice' AS OF SYSTEM TIME '2025-01-15T00:00:00Z'; + +GRAPH PATH IN 'edges' FROM 'user:alice' TO 'project:rocket' MAX_DEPTH 4 + AS OF SYSTEM TIME 1700000000000; + +-- The relationships valid on a date. +MATCH (u)-[:assigned_to]->(p) IN 'edges' + AS OF VALID TIME 1746086400000 + RETURN u, p; + +-- Algorithms and GraphRAG run over the graph at the cut. +GRAPH ALGO PAGERANK ON edges AS OF SYSTEM TIME 1700000000000; +GRAPH RAG FUSION ON edges QUERY ARRAY[0.1, 0.2, 0.3] + AS OF SYSTEM TIME 1700000000000; ``` +Rules: + +- **Clauses** — `AS OF SYSTEM TIME` and `AS OF VALID TIME` go anywhere after the command words. A time is an integer of ms since the Unix epoch, `NOW()`, or an ISO-8601 string. +- **One cut per statement** — a statement pins one system time. Every hop of a walk, every superstep of a BSP algorithm, and every node of a cluster reads that cut. A time past the statement's start reads the graph as of the start. +- **Complete at the cut** — before a node serves any read of a historical statement, it waits until it holds every edge version at or below the cut. A statement whose deadline ends during that wait fails with `DEADLINE_EXCEEDED`. It never returns a partial graph. +- **Valid time** — an edge is read when its valid time contains the `AS OF VALID TIME` instant. A version that does not contain it is passed over for the next older version. +- **Collection** — a historical read names its collection (`IN`, `ON`). Edge versions are stored per collection. +- **Writes** — `GRAPH INSERT EDGE`, `GRAPH DELETE EDGE`, `GRAPH LABEL` and `GRAPH UNLABEL` refuse `AS OF`. `UNTIL` needs `VALID_TIME`, and `UNTIL` must be after `VALID_TIME`. +- **Not supported** — `AS OF SYSTEM TIME NULL` (every version) and a `FOR VALID_TIME FROM ... TO ...` range are refused on graph reads. +- **Node properties** — a MATCH `WHERE` on node properties reads a `bitemporal = true` node collection at the same cut. A plain node collection has no history and reads its current documents. +- **Node identity and labels** — a historical read takes each node's identity from the edge version the cut resolves to, and each node's labels as they stood at the cut. A node deleted after the cut keeps its identity and labels there. +- **Transactions** — a historical read inside a transaction reads committed versions only. Staged writes appear in live reads. + +Each Data Plane core keeps the most recently used historical CSRs, up to `max_historical_csr_cache_entries` in `[tuning.graph]` (default 8). A write at or below a cached cut, a TRUNCATE, a purge, a restore, or a node label change drops the CSRs it affects. + This is useful for organizational hierarchies, historical relationship analysis, and compliance audits. See [Bitemporal](bitemporal.md) for detailed examples. --- diff --git a/docs/real-time.md b/docs/real-time.md index c0336bdd0..26ba5ce83 100644 --- a/docs/real-time.md +++ b/docs/real-time.md @@ -228,6 +228,8 @@ WITH ( Each POST includes `X-Idempotency-Key`, `X-Fencing-Token`, `X-CDC-Offset`, `X-Event-Sequence`, `X-Partition`, and `X-LSN` headers. 4xx client errors (except 429) are not retried. +The URL goes through the `[egress]` policy: `https://` to a DNS name that resolves to global unicast addresses, or a host on the allow-list. No redirect is followed. A URL the policy refuses stops the stream's delivery. Alert `NOTIFY WEBHOOK` URLs pass the same policy when the alert is created (`42501` on refusal) and before every send. + In a cluster, one node delivers a stream at a time: the node that holds the leader lease of the stream's owning Raft group. It reads every partition, including partitions whose rows live on other nodes. It checks its lease right before each POST and right before each offset commit. When that node fails, the next lease holder resumes from the committed offsets. Delivery is at-least-once: a POST can succeed after the old owner lost its lease but before it committed the offset, and the new owner then sends that event again. Two headers let an endpoint apply each event once: | Header | Value | What the endpoint does with it | diff --git a/docs/security/auth.md b/docs/security/auth.md index 34c3ae466..b2dc5fc86 100644 --- a/docs/security/auth.md +++ b/docs/security/auth.md @@ -127,6 +127,15 @@ JWT claims map to `$auth.*` session variables: Supported algorithms: ES256, ES384, RS256. Built-in JWKS cache with disk fallback and circuit breaker for provider outages. +JWKS fetches go through the `[egress]` policy. The default admits `https://` to a DNS name that resolves to global unicast addresses only. A provider on a private network needs its host on the allow-list: + +```toml +[egress] +allow_http = true # only for the hosts below +allow_hosts = ["keycloak.internal"] +allow_cidrs = ["10.42.0.0/16"] # addresses those hosts may resolve into +``` + **Note:** The OIDC provider mechanism (above) is the recommended approach for modern SSO; this `nodedb.toml` method is supported for backward compatibility. Every static provider requires an explicit `tenant_id`; startup fails closed when it is omitted. Providers may share an issuer only when each has a distinct, non-empty audience. JWTs may assert ordinary built-in and custom roles, but they cannot assert NodeDB superuser authority. NodeDB ignores both the `is_superuser` claim and the `"superuser"` role string on every external JWT path. Superuser must be granted through NodeDB credential administration. diff --git a/docs/security/encryption.md b/docs/security/encryption.md index 70dd02ba5..8e2593a91 100644 --- a/docs/security/encryption.md +++ b/docs/security/encryption.md @@ -26,6 +26,45 @@ head -c 32 /dev/urandom > /etc/nodedb/keys/wal.key chmod 600 /etc/nodedb/keys/wal.key ``` +**Key sources:** `key_path` is the default source. A key-management +service supplies the key instead through an `[encryption.key_derivation]` +table. Set exactly one of `key_path` and `key_derivation`; startup refuses +both or neither. The same key also derives the segment and checkpoint keys, +and `nodedb restore` reads it from the same source. + +| `type` | Source | +| --------- | ---------------------------------------------------------------------- | +| `file` | A 32-byte key file (`key_path`), as `[encryption] key_path`. | +| `vault` | HashiCorp Vault transit engine: unwraps a wrapped data key on disk. | +| `aws_kms` | AWS KMS `Decrypt` of a ciphertext blob on disk. | + +```toml +[encryption.key_derivation] +type = "vault" +addr = "https://vault.internal:8200" +token_path = "/etc/nodedb/keys/vault.token" # mode 0600 +key_name = "nodedb-wal" +mount = "transit" +ciphertext_blob_path = "/var/lib/nodedb/.wal-key.wrapped" +``` + +Create the wrapped key once with `vault write -f transit/datakey/wrapped/nodedb-wal` +and store its `ciphertext` in `ciphertext_blob_path`. The Vault address goes +through the `[egress]` policy: a private Vault needs its host on +`allow_hosts` and its addresses in `allow_cidrs`, and an IP-literal address +is refused. + +```toml +[encryption.key_derivation] +type = "aws_kms" +key_id = "arn:aws:kms:us-east-1:123456789012:key/..." +region = "us-east-1" +ciphertext_blob_path = "/var/lib/nodedb/.wal-key.kms" +``` + +The KMS client uses the AWS SDK credential chain and its own HTTP stack, not +the `[egress]` policy. + When `[encryption]` is absent, WAL records are written in plaintext. This is acceptable only for local development or when the data directory is on an encrypted volume (LUKS, dm-crypt, FileVault, BitLocker). @@ -159,6 +198,23 @@ When `[backup_encryption]` is absent, a warning is emitted at the first backup operation. Unencrypted backups should not leave the data center or be stored in shared object storage without additional encryption. +### Credential Encryption + +`CREATE CREDENTIAL` secrets (S3 keys, bearer tokens, SAS signatures for +remote `COPY` sources) are sealed with AES-256-GCM under a key derived +from the credential key, before the statement proposes them. The metadata +log, the catalog and every snapshot hold ciphertext only. The key file must +be 32 bytes, mode `0400` or `0600`, owned by the server's user, and differ +from the WAL and backup keys. Every node of a cluster needs the same file. + +```toml +[credential_encryption] +key_path = "/etc/nodedb/keys/credential.key" +``` + +When `[credential_encryption]` is absent, `CREATE CREDENTIAL` is refused +with SQLSTATE `55000`. + ## Encryption in Transit See [protocols.md — TLS](protocols.md#tls) for wire encryption @@ -177,3 +233,4 @@ and is appropriate only for local development. | Vamana DiskANN segments | Filesystem | OS volume encryption | Plaintext on disk | | L2 cold tier (S3) | SSE (object store) | `[cold_storage].sse_mode`| No SSE header sent | | Backups | AES-256-GCM (app) | `[backup_encryption].key_path` | Plaintext backup | +| COPY credentials | AES-256-GCM (app) | `[credential_encryption].key_path` | `CREATE CREDENTIAL` refused | diff --git a/docs/spatial.md b/docs/spatial.md index f4aaad6ba..c51bee450 100644 --- a/docs/spatial.md +++ b/docs/spatial.md @@ -17,11 +17,12 @@ Spatial is a **columnar profile**. Collections with a `SPATIAL_INDEX` column mod - **R\*-tree index** — Bulk loading, nearest neighbor, range queries - **Geohash** — Encode/decode, neighbor cells, area covering - **H3 hexagonal index** — Uber's H3 via h3o for uniform-area spatial binning -- **OGC predicates** — `ST_Contains`, `ST_Intersects`, `ST_Within`, `ST_Disjoint`, `ST_DWithin`, `ST_IsValid` -- **Geometry constructors** — `ST_Point`, `ST_MakePoint`, `ST_GeomFromText` (WKT), `ST_GeomFromWKB`, `ST_GeomFromGeoJSON`, `ST_MakeLine`, `ST_MakePolygon`, `ST_MakeEnvelope` -- **Accessors and measures** — `ST_AsText`, `ST_AsGeoJSON`, `ST_X`, `ST_Y`, `ST_GeometryType`, `ST_NPoints`, `ST_SRID`, `ST_SetSRID`, `ST_Transform`, `ST_Distance`, `ST_Length`, `ST_Perimeter`, `ST_Area` -- **Geometry operations** — `ST_Buffer`, `ST_Envelope`, `ST_Centroid`, `ST_Union`, `ST_Intersection` -- **Format support** — WKB, WKT, GeoJSON interchange. GeoParquet v1.1.0 + GeoArrow metadata. +- **OGC predicates** — `ST_Contains`, `ST_Intersects`, `ST_Within`, `ST_Disjoint`, `ST_DWithin`, `ST_Touches`, `ST_Crosses`, `ST_Overlaps`, `ST_Equals`, `ST_Covers`, `ST_CoveredBy`, `ST_Relate`, `ST_3DDWithin`, `ST_3DIntersects` +- **Z and M ordinates** — every geometry is XY, XYZ, XYM or XYZM. Every storage form and encoding keeps Z and M. +- **Geodesic measures** — distance, length, perimeter and area on the CRS's own ellipsoid (Karney's algorithms) +- **Overlay and shape operations** — `ST_Buffer`, `ST_Union`, `ST_Intersection`, `ST_Difference`, `ST_SymDifference`, `ST_ConvexHull`, `ST_ConcaveHull`, `ST_Simplify`, `ST_MakeValid`, `ST_Split`, `ST_Subdivide` +- **Linear referencing** — `ST_LineInterpolatePoint`, `ST_LocateAlong`, `ST_LocateBetween`, `ST_InterpolatePoint` +- **Format support** — WKT, EWKT, ISO WKB, EWKB and GeoJSON interchange. GeoParquet v1.1.0 and GeoArrow metadata builders in the `nodedb-spatial` crate. - **Hybrid spatial-vector** — Spatial R\*-tree narrows candidates by location, then HNSW ranks by semantic similarity in one query - **Spatial join** — R\*-tree probe join between two collections - **Distributed** — Scatter-gather across shards, shard routing by geometry, geofencing @@ -100,57 +101,149 @@ A string literal in geometry position is read as either WKT or GeoJSON, so | Function | Result | | --- | --- | | `ST_Point(lng, lat)` | Point | -| `ST_MakePoint(x, y [, z])` | Point | -| `ST_GeomFromText(wkt [, srid])` | Geometry parsed from WKT | +| `ST_MakePoint(x, y [, z [, m]])` | Point: XY, XYZ or XYZM | +| `ST_MakePointM(x, y, m)` | XYM Point | +| `ST_GeomFromText(text [, srid])` / `ST_GeomFromEWKT` | Geometry parsed from WKT or EWKT | | `ST_GeomFromGeoJSON(json)` | Geometry parsed from GeoJSON | -| `ST_GeomFromWKB(bytes [, srid])` | Geometry parsed from WKB; accepts an `X'...'` literal or its hex string | -| `ST_MakeLine(point, point, ...)` | LineString | +| `ST_GeomFromWKB(bytes [, srid])` / `ST_GeomFromEWKB` | Geometry parsed from ISO WKB or EWKB; accepts an `X'...'` literal or its hex string | +| `ST_MakeLine(point, point, ...)` | LineString in the points' SRID and dimension | | `ST_MakePolygon(ring, ...)` | Polygon, each ring an array of `[lng, lat]` pairs | | `ST_MakeEnvelope(min_lng, min_lat, max_lng, max_lat)` | Rectangular Polygon | +| `ST_TileEnvelope(z, x, y)` | Web Mercator (`3857`) Polygon of one XYZ map tile | + +A parse error fails the statement with SQLSTATE `22000`. The error names the +function and the byte offset of the error. A malformed geometry is never read +as NULL. ### Accessors | Function | Result | | --- | --- | -| `ST_AsText(geom)` | WKT rendering | -| `ST_AsGeoJSON(geom)` | GeoJSON rendering | -| `ST_X(geom)` / `ST_Y(geom)` | Ordinate of a Point; NULL for any other geometry | +| `ST_AsText(geom)` | WKT rendering, Z and M included | +| `ST_AsEWKT(geom)` | `SRID=;` then WKT | +| `ST_AsGeoJSON(geom)` | GeoJSON rendering, Z included, M dropped | +| `ST_AsBinary(geom [, 'NDR'\|'XDR'])` | ISO WKB bytes, little-endian unless `'XDR'` | +| `ST_AsEWKB(geom [, 'NDR'\|'XDR'])` | EWKB bytes with the SRID | +| `ST_X(geom)` / `ST_Y(geom)` / `ST_Z(geom)` / `ST_M(geom)` | Ordinate of a Point; NULL for any other geometry, an EMPTY point, or a missing Z or M | +| `ST_ZMin(geom)` / `ST_ZMax(geom)` | Least / greatest Z; `0` for a geometry without Z | +| `ST_CoordDim(geom)` / `ST_NDims(geom)` | Ordinates per position: 2, 3 or 4 | +| `ST_ZMFlag(geom)` | `0` XY, `1` XYM, `2` XYZ, `3` XYZM | +| `ST_HasZ(geom)` / `ST_HasM(geom)` | Whether the geometry carries Z / M | | `ST_GeometryType(geom)` | Type name, e.g. `Point` | -| `ST_NPoints(geom)` | Total vertex count | +| `ST_NPoints(geom)` | Total vertex count; `0` for EMPTY | +| `ST_IsEmpty(geom)` | Whether the geometry is EMPTY | | `ST_SRID(geom)` | SRID of the geometry; `4326` unless the geometry carries another SRID. See [Spatial reference systems](#spatial-reference-systems) | -| `ST_IsValid(geom)` | Whether the geometry is well-formed | +| `ST_IsValid(geom)` | Whether the geometry is valid. See [Validity](#validity) | +| `ST_IsValidReason(geom)` | `Valid Geometry`, or every reason the geometry is invalid | + +### Z and M ordinates + +A geometry is XY, XYZ, XYM or XYZM. Every position in one geometry has the +same dimension. Z is a height and M is a measure. Two-dimensional predicates +and measures read X and Y only. + +| Input | Z and M | +| --- | --- | +| WKT | `POINT Z (1 2 3)`, `POINT M (1 2 4)`, `POINT ZM (1 2 3 4)`. Untagged text with three numbers is XYZ, four is XYZM. | +| WKB / EWKB | ISO type codes 1000 (Z), 2000 (M), 3000 (ZM), and the EWKB Z, M and SRID flags | +| GeoJSON | A third position member is Z. GeoJSON has no M. | + +| Function | Result | +| --- | --- | +| `ST_Force2D(geom)` | Geometry without Z and M | +| `ST_Force3D(geom [, z])` / `ST_Force3DZ` | XYZ geometry; a missing Z becomes `z`, default `0`; M is dropped | +| `ST_Force3DM(geom [, m])` | XYM geometry; a missing M becomes `m`, default `0`; Z is dropped | +| `ST_Force4D(geom [, z [, m]])` | XYZM geometry; missing ordinates default to `0` | + +### EMPTY geometries + +Every geometry kind has an EMPTY form: `POINT EMPTY`, `LINESTRING EMPTY`, +`POLYGON EMPTY`, the three multi kinds, and `GEOMETRYCOLLECTION EMPTY`. WKB +writes an EMPTY point with NaN ordinates, as PostGIS does. GeoJSON writes an +empty `coordinates` array. + +- An EMPTY geometry is stored, and never enters the R\*-tree. +- An EMPTY operand matches no predicate. +- `ST_Distance` with an EMPTY operand is infinite. +- `ST_Area`, `ST_Length` and `ST_Perimeter` of EMPTY are `0`. + +### Storage + +| Engine | Stored form | +| --- | --- | +| Document (schemaless) | Native geometry value: SRID, shape, Z and M | +| Document (strict), Columnar, Timeseries, Spatial | EWKB | + +A geometry read back renders the same WKT it was written with. ### Spatial reference systems Every geometry carries an SRID. The default is `4326` (WGS 84, longitude and latitude in degrees). GeoJSON reads and writes a `crs` member for any SRID other than `4326`. +NodeDB defines every geographic 2D and projected CRS of the EPSG dataset v12.029: 611 geographic and 5,305 projected CRSs. The SRID is the EPSG code. NodeDB adds two CRSs of its own: + | SRID | System | Unit | | --- | --- | --- | -| `4326` | WGS 84 geographic | degrees | -| `32647` | UTM zone 47N on WGS 84 | metres | -| `32648` | UTM zone 48N on WGS 84 | metres | -| `3375` | GDM2000 Peninsula RSO | metres | -| `3376` | GDM2000 East Malaysia (Borneo) RSO | metres | +| `990001` | MODIS sinusoidal (`SR-ORG:6842`) on a sphere of radius 6,371,007.181 m | metres | +| `990002` | Himawari geostationary view, sub-satellite longitude 140.7°E, on WGS 84 | metres | -The set is closed. Any other SRID is refused. +The EPSG CRSs of these methods are not defined. Their SRIDs are refused: + +| Method | CRSs | Example SRIDs | +| --- | --- | --- | +| Colombia Urban | 32 | `6244`, `6245` | +| Bonne (South Orientated) | 2 | `2963`, `5017` | +| Transverse Mercator Zoned Grid System | 2 | `32600`, `32700` | +| Lambert Azimuthal Equal Area (Spherical) | 1 | `9311` | +| Transverse Mercator 3D | 1 | `9895` | +| Local Orthographic | 1 | `10622` | +| Tunisia Mining Grid | 1 | `22300` | +| Lambert Conic Near-Conformal | 1 | `22700` | + +NodeDB also defines EPSG CRSs published after v12.029: + +| SRID | System | Source | +| --- | --- | --- | +| `12287` | GDM2020, Geocentric Datum of Malaysia 2020 (EPSG datum `1471`), GRS 1980, aligned with ITRF2014 at epoch 2020.0 | EPSG change 2026.081 | +| `25314` to `25322` | GDM2020 state Cassini-Soldner grids: Johor, Sembilan and Melaka, Pahang, Selangor, Terengganu, Pinang, Kedah and Perlis, Perak, Kelantan | EPSG change 2026.081, JUPEM circular KPUP 3/2021 Table 7 | + +GDM2020 relates to WGS 84 through EPSG transformation `12291`: a null shift with an accuracy of 1 m. These GDM2020 definitions are not available: + +- GDM2000 to GDM2020. JUPEM defines it through velocity and post-seismic deformation grids that it does not publish openly. +- GDM2020 Peninsular RSO and East Malaysia BRSO. EPSG has no codes for them, and JUPEM does not publish their parameters openly. + +A transform between two datums runs through WGS 84 with the datum shift EPSG records for each CRS. Two CRSs on one datum skip the shift. A GeoJSON `crs` name takes the forms `EPSG:n`, `urn:ogc:def:crs:EPSG::n`, `http://www.opengis.net/def/crs/EPSG/0/n`, the OGC CRS84 URN or URL, and `SR-ORG:6842`. | Function | Result | | --- | --- | | `ST_SRID(geom)` | SRID of the geometry | | `ST_SetSRID(geom, srid)` | Geometry relabeled with `srid`. Coordinates stay as they are. | -| `ST_Transform(geom, srid)` | Geometry with every coordinate reprojected into `srid` | +| `ST_Transform(geom, srid [, epoch])` | Geometry with every coordinate reprojected into `srid`. `epoch` is the coordinate epoch as a decimal year. | -`ST_GeomFromText` and `ST_GeomFromWKB` take an optional `srid` argument. `ST_SetSRID` and `ST_Transform` return NULL when `srid` is NULL. +`ST_GeomFromText` and `ST_GeomFromWKB` take an optional `srid` argument. `ST_SetSRID` and `ST_Transform` return NULL when `srid` is NULL. `ST_Transform` returns NULL when `epoch` is NULL. ```sql SELECT ST_Transform(ST_Point(101.7117, 3.1579), 32647); +-- 910001: a user-defined CRS with a time-dependent shift to WGS 84. +SELECT ST_Transform(ST_SetSRID(ST_Point(128.0, -16.0), 910001), 4326, 2013.9); ``` +#### Time-dependent datum shifts + +A datum shift is a 3-, 7- or 15-parameter Helmert transformation. The 15-parameter form adds a yearly rate for each of the seven parameters and a parameter reference epoch t0 (IOGP Guidance Note 7-2 §4.2.5, EPSG methods 1053 to 1058). At coordinate epoch t each parameter p becomes p + rate × (t − t0). + +- `epoch` must lie in 1900..=2200. Any other value raises a data exception with SQLSTATE `22000`. +- Without `epoch`, each shift runs at its own reference epoch, where only the seven static parameters act. +- A static shift gives the same result at every epoch. + +A user-defined CRS (`CREATE SPATIAL_REF_SYS`) carries a time-dependent shift in WKT2 or PROJJSON: a `BOUNDCRS` / `BoundCRS` to WGS 84 whose transformation uses a time-dependent Helmert method with the rate parameters (EPSG 1040 to 1046) and the parameter reference epoch (EPSG 1047). A PROJ string cannot carry rates, so `nodedb.spatial_ref_sys` shows `proj4text` as NULL for such a CRS, as PostGIS does for a CRS PROJ strings cannot express. Its `srtext` holds the full WKT2. + Geometry functions read the SRID of each operand. They never transform implicitly. These cases raise a data exception with SQLSTATE `22000`: - Two operands in different SRIDs. The error reads `operands have different SRIDs and ; use ST_Transform`. -- An SRID outside the supported set. The error lists the supported codes. +- An SRID that names no defined CRS. The error reads `SRID is not defined`, or `SRID is outside 1..=998999` for a code out of range. - A coordinate outside the region the target projection is defined on. +- An `ST_Transform` epoch outside 1900..=2200, or not a finite number. Call `ST_Transform` on one operand to bring both into the same SRID. @@ -158,14 +251,21 @@ A spatial index fixes its SRID at its first entry. It refuses geometries in any ### Measures -Every measure is in meters, and square meters for area. A WGS 84 (`4326`) geometry is measured geodesically. A geometry in a projected SRID is measured in planar grid meters. `ST_Distance` needs both operands in the same SRID. +Every measure is in meters, and square meters for area. A geometry in a geographic CRS, such as `4326`, is measured on geodesics of that CRS's ellipsoid, with Karney's algorithms (GeographicLib). A geometry in a projected SRID is measured in planar grid meters, the CRS unit converted to meters. Two-geometry measures need both operands in the same SRID. | Function | Result | | --- | --- | -| `ST_Distance(a, b)` | Distance between two geometries | +| `ST_Distance(a, b)` | Minimum distance between two geometries | | `ST_Length(geom)` | Total length of linear components; `0` for points and polygons | | `ST_Perimeter(geom)` | Boundary length of areal components, holes included | | `ST_Area(geom)` | Area of areal components, less holes; `0` for points and lines | +| `ST_3DDistance(a, b)` | Minimum 3D distance | +| `ST_3DLength(geom)` | Total 3D length of linear components | + +3D measures read Z as meters, and a missing Z as `0`. A projected CRS +measures Euclidean distance in grid meters. A geographic CRS maps every +position to Earth-centred (ECEF) coordinates on its ellipsoid, with Z as +ellipsoidal height, and measures the straight chord. ### Predicates and operations @@ -174,15 +274,83 @@ Every measure is in meters, and square meters for area. A WGS 84 (`4326`) geomet | `ST_Contains(a, b)` | Whether `a` contains `b` | | `ST_Within(a, b)` | Whether `a` lies within `b` — the converse of `ST_Contains` | | `ST_Intersects(a, b)` / `ST_Disjoint(a, b)` | Whether the two geometries share any point | -| `ST_DWithin(a, b, meters)` | Whether the two geometries lie within a distance: geodesic for `4326`, planar for a projected SRID | -| `ST_Buffer(geom, meters [, segments])` | Geometry grown by a distance | -| `ST_Envelope(geom)` | Bounding rectangle | -| `ST_Centroid(geom)` | Centroid, weighted by the highest dimension present | -| `ST_Union(a, b)` / `ST_Intersection(a, b)` | Combined / shared geometry | - -`ST_Contains`, `ST_Within`, `ST_Intersects` and `ST_DWithin` are answered from -the R\*-tree when the first argument is an indexed geometry column; the rest -evaluate per row. +| `ST_Touches(a, b)` | Whether the boundaries meet and the interiors do not | +| `ST_Crosses(a, b)` | Whether the interiors meet in a lower dimension | +| `ST_Overlaps(a, b)` | Whether two geometries of one dimension share part of their interiors | +| `ST_Equals(a, b)` | Whether the two geometries cover the same points | +| `ST_Covers(a, b)` / `ST_CoveredBy(a, b)` | Whether no point of `b` lies outside `a` / the converse | +| `ST_Relate(a, b)` | DE-9IM intersection matrix, e.g. `212101212` | +| `ST_Relate(a, b, pattern)` | Whether the matrix matches a DE-9IM pattern of `T`, `F`, `*`, `0`, `1`, `2` | +| `ST_DWithin(a, b, meters)` | Whether the two geometries lie within a distance: geodesic in a geographic CRS, planar in a projected one | +| `ST_3DDWithin(a, b, meters)` | Whether the two geometries lie within a 3D distance | +| `ST_3DIntersects(a, b)` | Whether the two geometries meet in 3D | +| `ST_Buffer(geom, meters [, segments])` | Geometry grown by a distance. See [Buffer](#buffer) | +| `ST_Envelope(geom)` | Bounding rectangle; a point or a line for a degenerate box | +| `ST_Centroid(geom)` | Centroid, weighted by the highest dimension present: geodesic area or length in a geographic CRS | +| `ST_Union(a, b)` | Every point of either geometry, overlaps dissolved | +| `ST_Intersection(a, b)` | Points shared by both geometries | +| `ST_Difference(a, b)` | Points of `a` outside `b` | +| `ST_SymDifference(a, b)` | Points in exactly one geometry | +| `ST_ConvexHull(geom)` | Smallest convex polygon holding every vertex | +| `ST_ConcaveHull(geom, ratio)` | Concave polygon holding every vertex; `ratio` 1 gives the convex hull | +| `ST_Simplify(geom, tolerance)` | Ramer–Douglas–Peucker simplification | +| `ST_SimplifyPreserveTopology(geom, tolerance)` | Visvalingam–Whyatt simplification that creates no self-intersection | +| `ST_MakeValid(geom)` | Valid geometry covering the same area | +| `ST_Subdivide(geom [, max_vertices])` | GEOMETRYCOLLECTION of pieces with at most `max_vertices` vertices each, default 256 | +| `ST_Segmentize(geom, max_length)` | Geometry with extra vertices so no edge exceeds `max_length` meters | +| `ST_ClosestPoint(a, b)` | Point of `a` closest to `b` | +| `ST_Split(input, blade)` | GEOMETRYCOLLECTION of the pieces `blade` cuts `input` into | +| `ST_ShiftLongitude(geom)` | Longitudes moved between the -180..180 and 0..360 ranges | + +The overlay operations (`ST_Union`, `ST_Intersection`, `ST_Difference`, +`ST_SymDifference`) accept every geometry kind. A mixed result is a +GEOMETRYCOLLECTION. The overlay, simplification, hulls, `ST_Split` and +`ST_Subdivide` work in the coordinates of the geometry's CRS. `tolerance` +is in CRS units. + +`ST_Contains`, `ST_Within`, `ST_Intersects`, `ST_DWithin` and `ST_3DDWithin` +are answered from the R\*-tree when the first argument is an indexed geometry +column; the rest evaluate per row. The distance predicates widen the search +box to cover every point within the distance, on the smallest radius of +curvature of the ellipsoid. + +### Buffer + +`ST_Buffer` takes a distance in meters in every CRS. A negative distance +shrinks polygons and erases points and lines. Curves have `segments` sides +per full circle, default 32. + +- A projected geometry buffers in its grid. +- A geographic geometry within 12° of longitude and away from the poles buffers in a Transverse Mercator projection centred on it, on its own ellipsoid. The scale error stays under 0.6 % at its edge. +- A geographic geometry past 80° latitude buffers in a polar Lambert azimuthal equal-area projection. +- Any other geographic geometry buffers each component in its own local projection, and unions the pieces. + +### Validity + +`ST_IsValid` follows the OGC simple-features rules: + +- Every coordinate is finite. +- A LineString has at least 2 points. +- A ring has at least 4 points and is closed. +- A ring does not cross itself. +- A hole lies inside its shell, and rings do not overlap or share a line. +- The polygons of a MultiPolygon do not overlap or share a line. + +Ring winding order is not a validity rule. `ST_IsValidReason` names the +component and ring of each error, e.g. `polygon 1 shell: ring crosses +itself`. + +### Linear referencing + +| Function | Result | +| --- | --- | +| `ST_LineInterpolatePoint(line, fraction)` | Point at `fraction` (0 to 1) of the line's length | +| `ST_LocateAlong(geom, m [, offset])` | MultiPoint of every position with measure `m`, moved `offset` CRS units to the left | +| `ST_LocateBetween(geom, from_m, to_m [, offset])` | Parts of the geometry whose measure lies between `from_m` and `to_m`, moved `offset` CRS units to the left | +| `ST_InterpolatePoint(line, point)` | M of the line at the position closest to `point` | + +`ST_LocateAlong`, `ST_LocateBetween` and `ST_InterpolatePoint` need a +geometry with M. ```sql -- Read stored geometry back in either interchange format From c726e41df7e5a270b1bb7c800ce57678c14c1316 Mon Sep 17 00:00:00 2001 From: Farhan Syah Date: Wed, 21 Oct 2026 21:39:12 +0800 Subject: [PATCH 05/12] feat(spatial): add CRS registry, GeoTIFF array load, array attr metadata, and bitemporal graph reads Spatial: - Add nodedb-crs and nodedb-srid crates for coordinate reference system definitions and SRID resolution, with a catalog-backed spatial_ref_sys table and DDL. - Rework nodedb-spatial around typed errors, geodesic and 3D measures, WKT/WKB readers with Z/M ordinates, and overlay ops. - Extend the raster crate with TIFF/COG decoding, codecs, and sources, and add nodedb-raster-load for bulk array load. Array: - Add attribute metadata, reducers, and a physical query layer. Bitemporal and graph: - Add statement-level system/valid-time cuts, columnar system stamps, persisted node labels, and as-of graph reads. Cluster and security: - Purge state on vShard departure, add credential DDL, a JWKS registry, egress policy, and a WAL key vault. --- .github/workflows/fuzz.yml | 4 +- Cargo.lock | 357 +- Cargo.toml | 20 +- fuzz/Cargo.toml | 1 + fuzz/corpus/geotiff_decoder/cog-mask.tif | Bin 0 -> 3324 bytes fuzz/corpus/geotiff_decoder/gdal-metadata.tif | Bin 0 -> 1369 bytes fuzz/corpus/geotiff_decoder/j-gray-strip.tif | Bin 0 -> 689 bytes fuzz/corpus/geotiff_decoder/j-ycbcr-tile.tif | Bin 0 -> 1736 bytes .../geotiff_decoder/l-lerc-pixel-tile.tif | Bin 0 -> 1955 bytes .../l-lerc_deflate-band-strip.tif | Bin 0 -> 1305 bytes .../geotiff_decoder/l-lerc_zstd-mask.tif | Bin 0 -> 1440 bytes .../m-deflate-p3-tile-classic-contig-be.tif | Bin 0 -> 1217 bytes .../m-lzw-p2-tile-big-separate-le.tif | Bin 0 -> 1140 bytes .../m-none-p1-strip-classic-contig-be.tif | Bin 0 -> 1696 bytes ...m-packbits-p1-tile-classic-separate-le.tif | Bin 0 -> 1979 bytes .../m-zstd-p2-strip-big-contig-be.tif | Bin 0 -> 601 bytes fuzz/src/targets/geotiff_decoder.rs | 42 +- nodedb-array/Cargo.toml | 1 + nodedb-array/src/codec/attr_col/column.rs | 30 + nodedb-array/src/codec/attr_col/varlen.rs | 1 + nodedb-array/src/error.rs | 20 + nodedb-array/src/lib.rs | 2 +- nodedb-array/src/query/aggregate.rs | 412 - nodedb-array/src/query/aggregate/fold.rs | 580 + nodedb-array/src/query/aggregate/mod.rs | 18 + nodedb-array/src/query/aggregate/reducer.rs | 35 + nodedb-array/src/query/aggregate/result.rs | 298 + nodedb-array/src/query/mod.rs | 8 +- nodedb-array/src/query/physical.rs | 97 + nodedb-array/src/query/region.rs | 19 +- nodedb-array/src/query/zone_frame.rs | 164 +- nodedb-array/src/schema/array_schema.rs | 127 +- nodedb-array/src/schema/attr_meta.rs | 291 + nodedb-array/src/schema/attr_spec.rs | 21 + nodedb-array/src/schema/builder.rs | 2 +- nodedb-array/src/schema/georef.rs | 153 +- nodedb-array/src/schema/mod.rs | 2 + nodedb-array/src/schema/validation/attrs.rs | 22 + nodedb-array/src/schema/validation/georef.rs | 2 +- nodedb-array/src/tile/mbr.rs | 1 + nodedb-array/src/types/cell_value/narrow.rs | 10 + nodedb-array/src/types/cell_value/value.rs | 6 + nodedb-cluster-tests/Cargo.toml | 2 + .../cases/bitemporal_array_cluster_cut.rs | 143 + .../cases/bitemporal_replica_stamps.rs | 419 + .../cases/bitemporal_txn_columnar.rs | 224 + .../calvin_multi_shard_bitemporal_restart.rs | 58 + .../cases/cluster_array_slice_zone.rs | 10 +- .../cases/cluster_array_ws_rpc.rs | 6 +- .../cases/cluster_restore_columnar_stamps.rs | 135 + .../cluster_restore_documents_restart.rs | 42 +- .../cases/cluster_restore_labels_only_mark.rs | 108 + .../cases/cluster_spatial_ref_sys.rs | 103 + .../cases/columnar_bitemporal_cut_cluster.rs | 140 + .../cases/graph_live_cut_calvin_stamps.rs | 158 + .../tests/common_suite/cases/mod.rs | 12 + .../cases/vshard_departure_crdt.rs | 85 + .../cases/vshard_departure_fixture.rs | 470 + .../cases/vshard_departure_purge.rs | 77 + .../cases/vshard_departure_purge_restart.rs | 101 + 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nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/grid.rs delete mode 100644 nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/open.rs delete mode 100644 nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/pixels.rs create mode 100644 nodedb/src/control/server/shared/ddl/neutral/credential.rs create mode 100644 nodedb/src/control/server/shared/ddl/neutral/spatial_ref_sys.rs create mode 100644 nodedb/src/control/server/shared/session/commit/buffered_dispatch.rs delete mode 100644 nodedb/src/control/server/wal_dispatch/graph_labels.rs create mode 100644 nodedb/src/control/server/wal_dispatch/system_stamp.rs create mode 100644 nodedb/src/control/state/init_prod/open_config.rs create mode 100644 nodedb/src/control/wal_replication/types/system_span.rs create mode 100644 nodedb/src/data/executor/core_loop/crs_context.rs create mode 100644 nodedb/src/data/executor/core_loop/graph_view.rs create mode 100644 nodedb/src/data/executor/core_loop/hash_chain_state.rs create mode 100644 nodedb/src/data/executor/core_loop/ts_replay_state.rs create mode 100644 nodedb/src/data/executor/dispatch/graph/rag.rs create mode 100644 nodedb/src/data/executor/graph_label_apply.rs create mode 100644 nodedb/src/data/executor/handlers/columnar_close_apply.rs create mode 100644 nodedb/src/data/executor/handlers/columnar_read/system_fold.rs create mode 100644 nodedb/src/data/executor/handlers/columnar_read/versions.rs create mode 100644 nodedb/src/data/executor/handlers/columnar_write/system_stamp.rs create mode 100644 nodedb/src/data/executor/handlers/graph_algo_csr.rs create mode 100644 nodedb/src/data/executor/handlers/graph_match_envelope.rs create mode 100644 nodedb/src/data/executor/handlers/graph_match_view.rs create mode 100644 nodedb/src/data/executor/handlers/snapshot/capture_labels.rs create mode 100644 nodedb/src/data/executor/handlers/snapshot/departure.rs create mode 100644 nodedb/src/data/executor/handlers/snapshot/restore/node_labels.rs create mode 100644 nodedb/src/data/executor/handlers/transaction/resolve/columnar_ordinal.rs create mode 100644 nodedb/src/data/executor/handlers/transaction/resolve/doc_ordinal.rs create mode 100644 nodedb/src/diag/context/crs.rs create mode 100644 nodedb/src/diag/context/vshard_departure.rs create mode 100644 nodedb/src/diag/recording/crs.rs create mode 100644 nodedb/src/diag/recording/vshard_departure.rs create mode 100644 nodedb/src/engine/graph/csr/historical_cache.rs create mode 100644 nodedb/src/engine/graph/edge_store/node_label_snapshot.rs create mode 100644 nodedb/src/engine/graph/edge_store/node_labels.rs create mode 100644 nodedb/src/engine/graph/edge_store/temporal/collection_scan.rs create mode 100644 nodedb/src/error_from_spatial.rs create mode 100644 nodedb/src/wal/redo/node_label.rs create mode 100644 nodedb/tests/inproc/cases/executor_tests/test_document_index_recovery.rs create mode 100644 nodedb/tests/inproc/cases/executor_tests/test_replay_and_engine_isolation.rs create mode 100644 nodedb/tests/inproc/cases/executor_tests/test_rrf_fusion.rs create mode 100644 nodedb/tests/wire/cases/alert_webhook_egress.rs create mode 100644 nodedb/tests/wire/cases/array_attr_meta.rs create mode 100644 nodedb/tests/wire/cases/array_attr_meta_geotiff.rs create mode 100644 nodedb/tests/wire/cases/array_geotiff/files.rs create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/adopt-metadata.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/band-b4.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/band-b5-shifted.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/band-b5-tiles128.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/band-b5.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/band-qa.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/expected.tsv create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/gen_fixtures.py create mode 100644 nodedb/tests/wire/cases/array_geotiff/fixtures/scene-overview.tif create mode 100644 nodedb/tests/wire/cases/array_geotiff/http_server.rs create mode 100644 nodedb/tests/wire/cases/array_geotiff_multi_source.rs create mode 100644 nodedb/tests/wire/cases/array_geotiff_window.rs create mode 100644 nodedb/tests/wire/cases/array_reducers.rs create mode 100644 nodedb/tests/wire/cases/bitemporal_array_statement_cut.rs create mode 100644 nodedb/tests/wire/cases/bitemporal_statement_cut.rs create mode 100644 nodedb/tests/wire/cases/bitemporal_valid_time_range.rs create mode 100644 nodedb/tests/wire/cases/credential_ddl.rs create mode 100644 nodedb/tests/wire/cases/document_bitemporal_audit_deletes.rs create mode 100644 nodedb/tests/wire/cases/graph_bitemporal_document_cut.rs create mode 100644 nodedb/tests/wire/cases/graph_bitemporal_node_identity.rs create mode 100644 nodedb/tests/wire/cases/graph_bitemporal_reads.rs create mode 100644 nodedb/tests/wire/cases/graph_bitemporal_valid_time.rs create mode 100644 nodedb/tests/wire/cases/oidc_catalog_provider_boot.rs create mode 100644 nodedb/tests/wire/cases/otlp_metrics_export.rs create mode 100644 nodedb/tests/wire/cases/secret_audit_text.rs create mode 100644 nodedb/tests/wire/cases/spatial_crs_open.rs create mode 100644 nodedb/tests/wire/cases/spatial_crs_units.rs create mode 100644 nodedb/tests/wire/cases/spatial_ops.rs create mode 100644 nodedb/tests/wire/cases/spatial_ref_sys.rs create mode 100644 nodedb/tests/wire/cases/spatial_ref_sys_raster.rs create mode 100644 nodedb/tests/wire/cases/spatial_zm.rs create mode 100644 nodedb/tests/wire/cases/sql_backup_restore_node_labels.rs create mode 100644 nodedb/tests/wire/cases/wal_key_vault.rs create mode 100644 scripts/gen_epsg.py diff --git a/.github/workflows/fuzz.yml b/.github/workflows/fuzz.yml index d95fa3a06..457923770 100644 --- a/.github/workflows/fuzz.yml +++ b/.github/workflows/fuzz.yml @@ -12,6 +12,7 @@ on: - fuzz/** - nodedb-codec/** - nodedb-raster/** + - nodedb-raster-load/** - nodedb-columnar/** - nodedb-strict/** - nodedb-wal/** @@ -110,4 +111,5 @@ jobs: - name: Check decoders build for wasm32 run: | cargo check --target wasm32-unknown-unknown \ - -p nodedb-codec -p nodedb-columnar -p nodedb-strict + -p nodedb-codec -p nodedb-columnar -p nodedb-strict \ + -p nodedb-raster -p nodedb-raster-load diff --git a/Cargo.lock b/Cargo.lock index ed330df75..679625c4c 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -1049,6 +1049,18 @@ dependencies = [ "typenum", ] +[[package]] +name = "bitvec" +version = "1.1.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "ddcec3d12c579d40898fe0a9a358a803c23e9c52ca3c425707f81c9436211837" +dependencies = [ + "funty", + "radium", + "tap", + "wyz", +] + [[package]] name = "blake2" version = "0.11.0" @@ -1447,27 +1459,27 @@ dependencies = [ [[package]] name = "cranelift-assembler-x64" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f6d504c8c7ba3f3accaf8e98b7096beb98e1a271404357744c7e9e730c6865ff" +checksum = "c9c587da2696fbaa58e7a2fa2e5bfdd365d0928219f36992304ac1f15e5bc254" dependencies = [ "cranelift-assembler-x64-meta", ] [[package]] name = "cranelift-assembler-x64-meta" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "c065757905596bc06e82969ebd7b92d691b7fd710a7e9e8181ae0c30dab588d0" +checksum = "f28a60027b7556b680b051651291053ec381edf4ffbc01784997ae51a64269bb" dependencies = [ "cranelift-srcgen", ] [[package]] name = "cranelift-bforest" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5ca7162cd4d4fc5f9f2f88d1459d939882203d93a8c5a19ef2c405b2e82ef13f" +checksum = "62bfdb846acebfd591d601994ea283c98d525ac0bc9a84ca3f2c36bcf5b69ff1" dependencies = [ "cranelift-entity", "wasmtime-internal-core", @@ -1475,9 +1487,9 @@ dependencies = [ [[package]] name = "cranelift-bitset" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "0ec2ba2d4f3d959ec4023a10266c3dcfb28381d1938d507a9a5e1abb78bbcc88" +checksum = "aa9f8cc1080739d5f72b4ee7e00aff7d589f1284beaf0a19472c07878be7f299" dependencies = [ "serde", "serde_derive", @@ -1486,9 +1498,9 @@ dependencies = [ [[package]] name = "cranelift-codegen" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "51a64cb821d5fed56bdd6053acd36fa928cd82b70bf6b19b8b14b8b27d047b9a" +checksum = "d85417d493ecec833b5134546b4a252c78cc0bd5be11729a35d25dcff9e4e70b" dependencies = [ "bumpalo", "cranelift-assembler-x64", @@ -1517,9 +1529,9 @@ dependencies = [ [[package]] name = "cranelift-codegen-meta" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "142be1e267a7497ba3c2b5a829eaf5387b92b9bcdba6e0a6020f1ffccae7f2b8" +checksum = "d01c8ed0098360bae69ad6b82952d4247516799ce8050d45ad168d6689f4eae6" dependencies = [ "cranelift-assembler-x64-meta", "cranelift-codegen-shared", @@ -1530,24 +1542,24 @@ dependencies = [ [[package]] name = "cranelift-codegen-shared" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "0e41f75410da6cce8601330137d73718f679db81cb790a33de3871b5c90a0de3" +checksum = "04f9b86d809cec9c4e88b201f1b3ed3b0347674c9ccfbb8c355228669e34be81" [[package]] name = "cranelift-control" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "0c2616c6d01c14921ac9289ef65eb7702d9c760dfdc4537a8ee5bf38ea2832c6" +checksum = "ce182038fb10b719841e65fdf5deeee258c684f63439f5be680c2be059274b58" dependencies = [ "arbitrary", ] [[package]] name = "cranelift-entity" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "a03e8b44c4877cf2fb21e5788d514af6fd291a066ed9ae37adf114a25fecb4aa" +checksum = "7bca812b03a7b942796391f25bc02aa70a1a007fee3ce2756490c788429e9c39" dependencies = [ "cranelift-bitset", "serde", @@ -1557,9 +1569,9 @@ dependencies = [ [[package]] name = "cranelift-frontend" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "366ff7cb014bd08752210eba55a650969f8db9b52670d69d2ea0b23e1e9e3edf" +checksum = "a0c30563d2aef95e8d1a00a920199c99117b350339599f0e9487a7a1cf5d59de" dependencies = [ "cranelift-codegen", "hashbrown 0.17.1", @@ -1570,15 +1582,15 @@ dependencies = [ [[package]] name = "cranelift-isle" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "9ea6526ebf9064fff8ce3b1e26afad7027f9e6bb0e45d2b9200e4cbab8343345" +checksum = "9c54184333a275698edb1d3bdff226131a25d47133d792aa716e47e32b8b7f05" [[package]] name = "cranelift-native" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "b44d323f3e5108a8a5bc61f3acd227285ece066e19afe9aece211d66b34a64ea" +checksum = "eb67a4c8a3180b5f1d77dffcd6317c05386ced42e5a31c7004523a9d99dc85c1" dependencies = [ "cranelift-codegen", "libc", @@ -1587,9 +1599,9 @@ dependencies = [ [[package]] name = "cranelift-srcgen" -version = "0.136.3" +version = "0.136.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "fc173168f291ff3b95b5d0769d6a05b1eaef5e6d74c2600affab8396b4e7b420" +checksum = "b533db1679b4b728568bd490da6533cf50974c48a4d7534e78f1e0e02bc39769" [[package]] name = "crash-context" @@ -2182,6 +2194,12 @@ version = "1.0.1" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "28a80e3145d8ad11ba0995949bbcf48b9df2be62772b3d351ef017dff6ecb853" +[[package]] +name = "float_next_after" +version = "2.0.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "37007738a80ea34f969af54a3390dd72cacdef654974cfd449c9f6f72dbaac10" + [[package]] name = "fluxbench" version = "0.2.0" @@ -2346,6 +2364,12 @@ version = "1.3.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "42703706b716c37f96a77aea830392ad231f44c9e9a67872fa5548707e11b11c" +[[package]] +name = "funty" +version = "2.0.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "e6d5a32815ae3f33302d95fdcb2ce17862f8c65363dcfd29360480ba1001fc9c" + [[package]] name = "futures" version = "0.3.34" @@ -2474,6 +2498,49 @@ dependencies = [ "rustc-hash", ] +[[package]] +name = "geo" +version = "0.33.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "30eb1fdc57c1e5cfd11826fe0caec4b9dc7901f3758263bb506228d88c8d9e9a" +dependencies = [ + "float_next_after", + "geo-types", + "geographiclib-rs", + "i_overlay", + "log", + "num-traits", + "rand 0.10.3", + "rand_pcg", + "robust", + "rstar", + "sif-itree", + "spade", +] + +[[package]] +name = "geo-types" +version = "0.7.20" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "777d18aa0f12f8b285331cd867133ee14422b3f023f6d388034c47d43e28786a" +dependencies = [ + "approx", + "num-traits", + "rstar", + "serde", + "spade", + "thiserror 2.0.21", +] + +[[package]] +name = "geographiclib-rs" +version = "0.2.7" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "c5a7f08910fd98737a6eda7568e7c5e645093e073328eeef49758cfe8b0489c7" +dependencies = [ + "libm", +] + [[package]] name = "getrandom" version = "0.2.17" @@ -2675,6 +2742,11 @@ name = "hashbrown" version = "0.16.1" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "841d1cc9bed7f9236f321df977030373f4a4163ae1a7dbfe1a51a2c1a51d9100" +dependencies = [ + "allocator-api2", + "equivalent", + "foldhash 0.2.0", +] [[package]] name = "hashbrown" @@ -2907,6 +2979,48 @@ dependencies = [ "tracing", ] +[[package]] +name = "i_float" +version = "1.16.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "813145bb0ad5b60f55cbbf3c74cdceda1c0a9d253b35c4cc36ae0df7887cb78f" +dependencies = [ + "libm", +] + +[[package]] +name = "i_key_sort" +version = "0.10.3" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "d73d122b937fca067feb0ad74f62388920272b27c356d4df2d0cfdd59e044cf0" + +[[package]] +name = "i_overlay" +version = "4.5.2" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "8dd314b4668e2b3a12508f2e125558c82a6c0a8636fa5107a900f79ce414e450" +dependencies = [ + "i_float", + "i_key_sort", + "i_shape", + "i_tree", +] + +[[package]] +name = "i_shape" +version = "1.18.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "bfa9eac533d7509a8ab87672b60ac610c17240f9ea4851d26227689fdfe349c8" +dependencies = [ + "i_float", +] + +[[package]] +name = "i_tree" +version = "0.18.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "4804bdc1dc124eb7e1aa9e144ecc04096bcf787a10a15fa44af682b51f0f6cce" + [[package]] name = "iana-time-zone" version = "0.1.65" @@ -3324,6 +3438,17 @@ version = "0.1.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "09edd9e8b54e49e587e4f6295a7d29c3ea94d469cb40ab8ca70b288248a81db2" +[[package]] +name = "lerc-rs" +version = "0.7.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "af29646ba82a905e2b503fabadb693be59364006155ac6e4c39db3c6863f1c56" +dependencies = [ + "bitvec", + "libm", + "thiserror 2.0.21", +] + [[package]] name = "lexical-core" version = "1.0.6" @@ -3968,6 +4093,7 @@ dependencies = [ "nodedb-codec", "nodedb-columnar", "nodedb-crdt", + "nodedb-crs", "nodedb-fts", "nodedb-graph", "nodedb-mem", @@ -3975,6 +4101,7 @@ dependencies = [ "nodedb-query", "nodedb-raft", "nodedb-raster", + "nodedb-raster-load", "nodedb-spatial", "nodedb-sql", "nodedb-strict", @@ -4044,6 +4171,7 @@ dependencies = [ "crc32c", "loro", "nodedb-codec", + "nodedb-crs", "nodedb-spatial", "nodedb-types", "nodedb-wal", @@ -4158,7 +4286,9 @@ dependencies = [ "nodedb-bridge", "nodedb-client", "nodedb-cluster", + "nodedb-columnar", "nodedb-crdt", + "nodedb-crs", "nodedb-physical", "nodedb-query", "nodedb-raft", @@ -4207,6 +4337,7 @@ dependencies = [ "faultbox", "nodedb-codec", "nodedb-mem", + "nodedb-spatial", "nodedb-types", "nodedb-wal", "roaring", @@ -4228,6 +4359,7 @@ dependencies = [ "hkdf", "hmac 0.12.1", "loro", + "nodedb-crs", "nodedb-query", "nodedb-types", "serde", @@ -4240,6 +4372,16 @@ dependencies = [ "zerompk", ] +[[package]] +name = "nodedb-crs" +version = "0.7.0-dev" +dependencies = [ + "nodedb-srid", + "serde", + "thiserror 2.0.21", + "zerompk", +] + [[package]] name = "nodedb-fts" version = "0.7.0-dev" @@ -4297,6 +4439,7 @@ name = "nodedb-physical" version = "0.7.0-dev" dependencies = [ "nodedb-array", + "nodedb-crs", "nodedb-graph", "nodedb-query", "nodedb-sql", @@ -4312,6 +4455,7 @@ name = "nodedb-query" version = "0.7.0-dev" dependencies = [ "hex", + "nodedb-crs", "nodedb-fts", "nodedb-spatial", "nodedb-types", @@ -4347,16 +4491,32 @@ dependencies = [ name = "nodedb-raster" version = "0.7.0-dev" dependencies = [ + "flate2", + "lerc-rs", + "nodedb-crs", "nodedb-types", + "ruzstd", "thiserror 2.0.21", "tiff", + "weezl", + "zune-jpeg", +] + +[[package]] +name = "nodedb-raster-load" +version = "0.7.0-dev" +dependencies = [ + "nodedb-raster", + "thiserror 2.0.21", ] [[package]] name = "nodedb-spatial" version = "0.7.0-dev" dependencies = [ + "geo", "h3o", + "nodedb-crs", "nodedb-mem", "nodedb-types", "nodedb-wal", @@ -4375,6 +4535,7 @@ version = "0.7.0-dev" dependencies = [ "chrono", "hex", + "nodedb-crs", "nodedb-query", "nodedb-spatial", "nodedb-types", @@ -4384,11 +4545,21 @@ dependencies = [ "thiserror 2.0.21", ] +[[package]] +name = "nodedb-srid" +version = "0.7.0-dev" +dependencies = [ + "serde", + "thiserror 2.0.21", + "zerompk", +] + [[package]] name = "nodedb-strict" version = "0.7.0-dev" dependencies = [ "arrow", + "nodedb-spatial", "nodedb-types", "rust_decimal", "serde_json", @@ -4414,6 +4585,7 @@ dependencies = [ "nodedb-client", "nodedb-cluster", "nodedb-crdt", + "nodedb-crs", "nodedb-mem", "nodedb-physical", "nodedb-types", @@ -4444,6 +4616,8 @@ dependencies = [ "hex", "nanoid", "nodedb-codec", + "nodedb-crs", + "nodedb-srid", "rand 0.10.3", "rkyv", "roaring", @@ -5334,7 +5508,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "b570b25f7617e43d59005d0990ccb79e950a423952cea19671b7a876da390adf" dependencies = [ "anyhow", - "itertools 0.14.0", + "itertools 0.11.0", "proc-macro2", "quote", "syn 2.0.119", @@ -5371,9 +5545,9 @@ dependencies = [ [[package]] name = "pulley-interpreter" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "def59f28ccaf2cb4f8dfaac83197fd7d56a4470a70e4f2589454c731370101c5" +checksum = "5cd3de43f4f4cff536de8902097edbdf749321b97dda548f36a37918eb85bba3" dependencies = [ "cranelift-bitset", "log", @@ -5383,9 +5557,9 @@ dependencies = [ [[package]] name = "pulley-macros" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "3a1834d3b3ef994f266a0c9ed29a8214f2c2faaa9b1c44babfa57566bb05af83" +checksum = "8319a8fa5269b4895957f8795861c42822bd26218e495f70060a963323d94847" dependencies = [ "proc-macro2", "quote", @@ -5506,6 +5680,12 @@ version = "6.0.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "f8dcc9c7d52a811697d2151c701e0d08956f92b0e24136cf4cf27b57a6a0d9bf" +[[package]] +name = "radium" +version = "0.7.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "dc33ff2d4973d518d823d61aa239014831e521c75da58e3df4840d3f47749d09" + [[package]] name = "rancor" version = "0.1.3" @@ -5939,6 +6119,12 @@ dependencies = [ "byteorder", ] +[[package]] +name = "robust" +version = "1.2.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "4e27ee8bb91ca0adcf0ecb116293afa12d393f9c2b9b9cd54d33e8078fe19839" + [[package]] name = "rsa" version = "0.9.10" @@ -5959,6 +6145,17 @@ dependencies = [ "zeroize", ] +[[package]] +name = "rstar" +version = "0.12.2" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "421400d13ccfd26dfa5858199c30a5d76f9c54e0dba7575273025b43c5175dbb" +dependencies = [ + "heapless 0.8.0", + "num-traits", + "smallvec", +] + [[package]] name = "rust-stemmers" version = "1.2.0" @@ -6106,9 +6303,9 @@ checksum = "eec689c0bc40ff2458a5977b6619cb718087084a18e02a131c599b62d05e1a5f" [[package]] name = "rustls-webpki" -version = "0.103.15" +version = "0.103.16" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f3c3cf1d8b1e7d4927e2d154c3fcb02979afb9939629c62cd9048d4f07b60ac2" +checksum = "4443b1b6d39d7c663139942cc4558262562d2c84123bb6282ef177009ca8b281" dependencies = [ "aws-lc-rs", "ring", @@ -6429,6 +6626,12 @@ version = "2.0.1" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "f8fadd59c855ef2080decdef8ff161eb6661b86933c9d82e5ba29dc602a55aba" +[[package]] +name = "sif-itree" +version = "0.4.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "d7f45b8998ced5134fb1d75732c77842a3e888f19c1ff98481822e8fbfbf930b" + [[package]] name = "signal-hook-registry" version = "1.4.8" @@ -6590,6 +6793,18 @@ dependencies = [ "cfg-if", ] +[[package]] +name = "spade" +version = "2.15.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "9699399fd9349b00b184f5635b074f9ec93afffef30c853f8c875b32c0f8c7fa" +dependencies = [ + "hashbrown 0.16.1", + "num-traits", + "robust", + "smallvec", +] + [[package]] name = "spin" version = "0.9.9" @@ -6764,6 +6979,12 @@ dependencies = [ "syn 3.0.9", ] +[[package]] +name = "tap" +version = "1.0.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "55937e1799185b12863d447f42597ed69d9928686b8d88a1df17376a097d8369" + [[package]] name = "target-lexicon" version = "0.13.5" @@ -6777,7 +6998,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "32497e9a4c7b38532efcdebeef879707aa9f794296a4f0244f6f69e9bc8574bd" dependencies = [ "fastrand", - "getrandom 0.4.3", + "getrandom 0.3.4", "once_cell", "rustix", "windows-sys 0.61.2", @@ -7632,9 +7853,9 @@ dependencies = [ [[package]] name = "wasmtime" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4fbdd39f5c66f63ba6b5b31391b324b7ade7237d29c866cdb561330118ef436e" +checksum = "36abb25de5518707e5ba96b586366b09db168d2d4976cb9dac57265a317497ea" dependencies = [ "addr2line", "async-trait", @@ -7669,9 +7890,9 @@ dependencies = [ [[package]] name = "wasmtime-environ" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "e915c27826de4f7b4411b61fd6db32ca448657a5136b8c8e8874a15e90cecbf4" +checksum = "92f16a4d09fb1fbf2dcfeddb9818e1517a258e13b505b3bfdadcf47a19bf31ca" dependencies = [ "anyhow", "cpp_demangle", @@ -7700,15 +7921,15 @@ dependencies = [ [[package]] name = "wasmtime-internal-component-util" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "e754a3ff5690c34eb4713bd7c65f60dd607ead4e39042cbf52ac8011de14455b" +checksum = "4006009fc3598af4e895ab18c6c33d2c6b7c657b1bd0a755ca7ee1abef6f0c16" [[package]] name = "wasmtime-internal-core" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "ba00c5db77adb0749ee059068e5a417bfac3d8969f5a3479d9bd1ca8c1ba248d" +checksum = "947a732ad659f42c10ec639706fc8cb1f068dd9a55eebde8a1f24dfd06dfa525" dependencies = [ "hashbrown 0.17.1", "libm", @@ -7717,9 +7938,9 @@ dependencies = [ [[package]] name = "wasmtime-internal-cranelift" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "97ceeb4325712a253f463e50a69b5a547fbbecd52e45612360c543eaa25a03ff" +checksum = "fbfb8b455d524939e03df42e3e749f8e26e26ba2acd8b08fa00b3bda55686750" dependencies = [ "cranelift-codegen", "cranelift-control", @@ -7743,9 +7964,9 @@ dependencies = [ [[package]] name = "wasmtime-internal-fiber" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "3eb3f21bc32b5382ea95f83ce9a5f2f62b68f1b25a37d0802a41a65236eae5ae" +checksum = "bd8aa8711f68b2cdd94c2b85ba5c8317edaa1ac4ee0a0534b957123680239307" dependencies = [ "cc", "libc", @@ -7757,9 +7978,9 @@ dependencies = [ [[package]] name = "wasmtime-internal-jit-debug" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "e786f9925126e0d2e466c5308e572e8b6226f4047596228a3d63d99528a78949" +checksum = "e873e4504faf50aa8ce255d6ea7210d87b39d5f379c2486782e2c5f179c70ca8" dependencies = [ "cc", "wasmtime-internal-versioned-export-macros", @@ -7767,9 +7988,9 @@ dependencies = [ [[package]] name = "wasmtime-internal-jit-icache-coherence" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "92cb1dd5da78f5b21d65e91063bdd8c2eb343c1f077a1dcbc29003d4a794abb0" +checksum = "197ab1fda5da958a5c0b8a97eb241beafc48ac568b82ef4f12f38d6866c74173" dependencies = [ "libc", "wasmtime-internal-core", @@ -7778,9 +7999,9 @@ dependencies = [ [[package]] name = "wasmtime-internal-unwinder" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "d0243d244f6dd07ccd114e6bb099e8dd1197b47de5c054576adc9483f80f65d8" +checksum = "5577f3a5a979a7c3b1b23c1e9f13e70a8583acc8828471ec56f282117fc4952b" dependencies = [ "cranelift-codegen", "log", @@ -7790,9 +8011,9 @@ dependencies = [ [[package]] name = "wasmtime-internal-versioned-export-macros" -version = "49.0.3" +version = "49.0.4" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "20fa5616cd875ec78f5b92020fa47ced7c8bb923079185c8475751098b8c4a69" +checksum = "f6399c9c4050ed431cf66e21c05fadd6f9731db44476f452f8c7142b4597b883" dependencies = [ "proc-macro2", "quote", @@ -7821,9 +8042,9 @@ dependencies = [ [[package]] name = "webpki-root-certs" -version = "1.0.9" +version = "1.0.10" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "b96554aa2acc8ccdb7e1c9a58a7a68dd5d13bccc69cd124cb09406db612a1c9b" +checksum = "58ec80e73fd8baf57bf0d9615554c75348bda990d6d5bbeab964dd068319fecb" dependencies = [ "rustls-pki-types", ] @@ -8037,6 +8258,15 @@ version = "0.6.4" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "3ad82d2a33cdc9674dc7465672f271e096168fcdbe0f799d9e6db8c5892679dc" +[[package]] +name = "wyz" +version = "0.5.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "05f360fc0b24296329c78fda852a1e9ae82de9cf7b27dae4b7f62f118f77b9ed" +dependencies = [ + "tap", +] + [[package]] name = "x509-certificate" version = "0.25.0" @@ -8280,3 +8510,18 @@ dependencies = [ "cc", "pkg-config", ] + +[[package]] +name = "zune-core" +version = "0.5.3" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "d56377fd46368984a170bc5aac5567e52ca5da874caa60bea39fcbca78fb658b" + +[[package]] +name = "zune-jpeg" +version = "0.5.15" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "27bc9d5b815bc103f142aa054f561d9187d191692ec7c2d1e2b4737f8dbd7296" +dependencies = [ + "zune-core", +] diff --git a/Cargo.toml b/Cargo.toml index 8613149b0..c81798e63 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -8,6 +8,8 @@ members = [ "nodedb-raft", "nodedb-cluster", "nodedb-types", + "nodedb-srid", + "nodedb-crs", "nodedb-client", "nodedb-query", "nodedb-codec", @@ -20,6 +22,7 @@ members = [ "nodedb-columnar", "nodedb-array", "nodedb-raster", + "nodedb-raster-load", "nodedb-sql", "nodedb-physical", "nodedb-test-support", @@ -33,9 +36,9 @@ version = "0.7.0-dev" edition = "2024" rust-version = "1.96" license = "BUSL-1.1" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] readme = "README.md" repository = "https://github.com/NodeDB-Lab/nodedb" -authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] homepage = "https://nodedb.dev" documentation = "https://docs.rs/nodedb" @@ -43,6 +46,8 @@ documentation = "https://docs.rs/nodedb" # Foundation crates (internal) nodedb = { path = "nodedb", version = "0.7.0-dev" } nodedb-types = { path = "nodedb-types", version = "0.7.0-dev" } +nodedb-srid = { path = "nodedb-srid", version = "0.7.0-dev" } +nodedb-crs = { path = "nodedb-crs", version = "0.7.0-dev" } nodedb-client = { path = "nodedb-client", version = "0.7.0-dev" } nodedb-bridge = { path = "nodedb-bridge", version = "0.7.0-dev" } nodedb-wal = { path = "nodedb-wal", version = "0.7.0-dev" } @@ -61,6 +66,7 @@ nodedb-strict = { path = "nodedb-strict", version = "0.7.0-dev" } nodedb-columnar = { path = "nodedb-columnar", version = "0.7.0-dev" } nodedb-array = { path = "nodedb-array", version = "0.7.0-dev" } nodedb-raster = { path = "nodedb-raster", version = "0.7.0-dev" } +nodedb-raster-load = { path = "nodedb-raster-load", version = "0.7.0-dev" } nodedb-sql = { path = "nodedb-sql", version = "0.7.0-dev" } nodedb-physical = { path = "nodedb-physical", version = "0.7.0-dev" } nodedb-test-support = { path = "nodedb-test-support" } @@ -97,10 +103,14 @@ libc = "0.2" # Checksums crc32c = "0.6" -# GeoTIFF decoding with the deflate and LZW codecs only. -# The raster reader refuses JPEG, fax and WebP compression. +# Writes GeoTIFF test fixtures only. nodedb-raster decodes TIFF itself. tiff = { version = "0.11.3", default-features = false, features = ["deflate", "lzw"] } +# Pure-Rust raster codecs of nodedb-raster (wasm32-safe, no C). +weezl = "0.1.12" +zune-jpeg = "0.5.15" +lerc-rs = { version = "0.7.0", default-features = false, features = ["std"] } + # Crypto # Pinned to the digest 0.10 generation: `rsa` (JWT RS256) has no release on # digest 0.11, so sha2 0.11 / hmac 0.13 / aes-gcm 0.11 / p256 0.14 cannot be @@ -264,6 +274,10 @@ nexar = "0.1" # H3 hexagonal spatial index h3o = "0.11" +# Planar geometry algorithms (buffer, boolean ops, DE-9IM, hulls, repair). +# No `multithreading` (rayon) or `earcut`: the spatial crate builds for wasm32. +geo = { version = "0.33", default-features = false, features = ["spade"] } + # Linear algebra (SVD, matrix ops for OPQ Procrustes rotation) nalgebra = "0.35" diff --git a/fuzz/Cargo.toml b/fuzz/Cargo.toml index bd6e25a09..bcc8c5f6d 100644 --- a/fuzz/Cargo.toml +++ b/fuzz/Cargo.toml @@ -17,6 +17,7 @@ tempfile = "3" nodedb-codec = { path = "../nodedb-codec" } nodedb-columnar = { path = "../nodedb-columnar" } nodedb-mem = { path = "../nodedb-mem" } +nodedb-crs = { path = "../nodedb-crs" } nodedb-raster = { path = "../nodedb-raster" } nodedb-strict = { path = "../nodedb-strict" } nodedb-types = { path = "../nodedb-types" } diff --git a/fuzz/corpus/geotiff_decoder/cog-mask.tif b/fuzz/corpus/geotiff_decoder/cog-mask.tif new file mode 100644 index 0000000000000000000000000000000000000000..3214fe3c0e18aeaf6c819ef3beec143598eb28e7 GIT binary patch literal 3324 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epC+L5P0T3YugD5b96)*z^^LACr#Ke u8 { AttrType::Int32 => 8, AttrType::UInt32 => 9, AttrType::Float32 => 10, + AttrType::Int8 => 11, } } @@ -51,6 +52,7 @@ fn type_of(tag: u8) -> ArrayResult> { 8 => AttrType::Int32, 9 => AttrType::UInt32, 10 => AttrType::Float32, + 11 => AttrType::Int8, other => { return Err(ArrayError::SegmentCorruption { detail: format!("attr col: unknown tag {other:#04x}"), @@ -93,6 +95,7 @@ pub fn encode_attr_col(values: &[CellValue]) -> ArrayResult> { let present: Vec<&CellValue> = values.iter().filter(|v| !v.is_null()).collect(); let payload = match dtype { AttrType::Int64 + | AttrType::Int8 | AttrType::UInt8 | AttrType::Int16 | AttrType::UInt16 @@ -145,6 +148,7 @@ pub fn decode_attr_col(data: &[u8], rows: usize) -> ArrayResult> let body = &data[pos..]; let values = match dtype { AttrType::Int64 + | AttrType::Int8 | AttrType::UInt8 | AttrType::Int16 | AttrType::UInt16 @@ -198,6 +202,7 @@ mod tests { .map(|i| CellValue::Bytes(vec![i as u8; 3])) .collect(), (0..40).map(|i| CellValue::UInt8(i as u8 * 6)).collect(), + (0..40).map(|i| CellValue::Int8(i as i8 * -3)).collect(), (0..40).map(|i| CellValue::Int16(i as i16 * -800)).collect(), (0..40) .map(|i| CellValue::UInt16(i as u16 * 1600)) @@ -298,6 +303,31 @@ mod tests { )); } + /// INT8 keeps its full signed range through the codec, and a stored + /// value past it is corruption. + #[test] + fn int8_round_trips_its_full_range() { + let col = vec![ + CellValue::Int8(i8::MIN), + CellValue::Null, + CellValue::Int8(-1), + CellValue::Int8(0), + CellValue::Int8(i8::MAX), + ]; + let encoded = encode_attr_col(&col).unwrap(); + assert_eq!(encoded[0], tag_of(AttrType::Int8)); + assert_eq!(round_trip(&col), col); + + let mut data = vec![tag_of(AttrType::Int8)]; + data.extend_from_slice(&1u32.to_le_bytes()); + data.push(0); + data.extend_from_slice(&nodedb_codec::fastlanes::encode(&[-129]).unwrap()); + assert!(matches!( + decode_attr_col(&data, 1), + Err(ArrayError::SegmentCorruption { .. }) + )); + } + #[test] fn an_unknown_tag_is_corruption() { assert!(decode_attr_col(&[0xEE, 0, 0, 0, 0], 0).is_err()); diff --git a/nodedb-array/src/codec/attr_col/varlen.rs b/nodedb-array/src/codec/attr_col/varlen.rs index 879f20cf5..19c82f1fd 100644 --- a/nodedb-array/src/codec/attr_col/varlen.rs +++ b/nodedb-array/src/codec/attr_col/varlen.rs @@ -65,6 +65,7 @@ pub(super) fn decode_varlen( AttrType::Bytes => CellValue::Bytes(bytes.to_vec()), AttrType::Int64 | AttrType::Float64 + | AttrType::Int8 | AttrType::UInt8 | AttrType::Int16 | AttrType::UInt16 diff --git a/nodedb-array/src/error.rs b/nodedb-array/src/error.rs index de157476b..190029d60 100644 --- a/nodedb-array/src/error.rs +++ b/nodedb-array/src/error.rs @@ -41,6 +41,23 @@ pub enum ArrayError { #[error("tile-extent vector rejected on '{array}': {detail}")] InvalidTileExtents { array: String, detail: String }, + /// An attr's nodata, scale, offset or units does not fit its type. + #[error("attribute '{attr}' metadata rejected on '{array}': {detail}")] + InvalidAttrMeta { + array: String, + attr: String, + detail: String, + }, + + /// The schema's content fields failed to encode. + #[error("schema of '{array}' failed to encode: {detail}")] + SchemaEncode { array: String, detail: String }, + + /// An exact aggregate holds more distinct values than its memory budget + /// allows. SQLSTATE `54000`. + #[error("aggregate exceeds its memory budget: {detail}")] + AggregateBudgetExceeded { detail: String }, + /// A georef names a missing or ill-typed dim, or carries a degenerate /// transform. #[error("georef rejected on '{array}': {detail}")] @@ -159,12 +176,15 @@ impl ArrayError { | ArrayError::InvalidAttr { array, .. } | ArrayError::InvalidTileExtents { array, .. } | ArrayError::InvalidGeoref { array, .. } + | ArrayError::InvalidAttrMeta { array, .. } + | ArrayError::SchemaEncode { array, .. } | ArrayError::CoordArityMismatch { array, .. } | ArrayError::CoordOutOfDomain { array, .. } | ArrayError::CellTypeMismatch { array, .. } | ArrayError::Narrow { array, .. } => array, ArrayError::ZoneFrame(e) => e.array(), ArrayError::NumericOverflow { .. } + | ArrayError::AggregateBudgetExceeded { .. } | ArrayError::SegmentCorruption { .. } | ArrayError::UnsupportedFormat { .. } | ArrayError::UnsupportedSegmentFormat { .. } diff --git a/nodedb-array/src/lib.rs b/nodedb-array/src/lib.rs index fe86d2825..f87d8dcd4 100644 --- a/nodedb-array/src/lib.rs +++ b/nodedb-array/src/lib.rs @@ -24,7 +24,7 @@ pub use coord::{ }; pub use error::{ArrayError, ArrayResult}; pub use schema::{ - ArrayGeoref, ArraySchema, ArraySchemaBuilder, AttrSpec, CellOrder, DimSpec, DimType, + ArrayGeoref, ArraySchema, ArraySchemaBuilder, AttrMeta, AttrSpec, CellOrder, DimSpec, DimType, GeoTransform, TileOrder, }; pub use segment::{ diff --git a/nodedb-array/src/query/aggregate.rs b/nodedb-array/src/query/aggregate.rs deleted file mode 100644 index e9be5ae76..000000000 --- a/nodedb-array/src/query/aggregate.rs +++ /dev/null @@ -1,412 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Reductions over a sparse tile. -//! -//! Five reducers (Sum / Count / Min / Max / Mean) operate on a single -//! attribute column. The shape is partial-friendly: each tile produces -//! an [`AggregateResult`] which the executor merges across tiles via -//! [`AggregateResult::merge`]. Mean carries (sum, count) so merges are -//! exact rather than averaging averages. -//! -//! Group-by ([`group_by_dim`]) buckets cells by one dim's values and -//! returns a `Vec<(CoordValue, AggregateResult)>` ordered by first -//! appearance. Sort/order is the caller's job — keeping insertion -//! order avoids forcing `Ord` on `CoordValue`. - -use std::collections::HashMap; - -use crate::error::{ArrayError, ArrayResult}; -use crate::query::agg_number::{AggNumber, AggScalar}; -use crate::tile::sparse_tile::{RowKind, SparseTile}; -use crate::types::cell_value::value::CellValue; -use crate::types::coord::value::CoordValue; - -#[derive(Debug, Clone, Copy, PartialEq, Eq)] -pub enum Reducer { - Sum, - Count, - Min, - Max, - Mean, -} - -/// Partial result for one reducer over one (group of) cell(s). -/// `Mean` retains `(sum, count)` so partials merge exactly. An integer attr -/// accumulates exactly; see [`AggNumber`]. -#[derive(Debug, Clone, Copy, PartialEq)] -pub enum AggregateResult { - Sum { - value: AggNumber, - count: u64, - }, - Count { - count: u64, - }, - Min { - value: AggNumber, - count: u64, - }, - Max { - value: AggNumber, - count: u64, - }, - Mean { - sum: AggNumber, - count: u64, - }, - /// No non-null cells observed yet for this reducer. - Empty(Reducer), -} - -impl AggregateResult { - /// Merge two partials of the same reducer kind. Mismatched - /// reducers produce a left-biased result (the executor only ever - /// merges same-kind partials, so this is a programming-error path). - pub fn merge(self, other: AggregateResult) -> AggregateResult { - use AggregateResult::*; - match (self, other) { - (Empty(_), x) | (x, Empty(_)) => x, - ( - Sum { - value: a, - count: ca, - }, - Sum { - value: b, - count: cb, - }, - ) => Sum { - value: a.sum_with(b), - count: ca + cb, - }, - (Count { count: a }, Count { count: b }) => Count { count: a + b }, - ( - Min { - value: a, - count: ca, - }, - Min { - value: b, - count: cb, - }, - ) => Min { - value: a.min_with(b), - count: ca + cb, - }, - ( - Max { - value: a, - count: ca, - }, - Max { - value: b, - count: cb, - }, - ) => Max { - value: a.max_with(b), - count: ca + cb, - }, - (Mean { sum: a, count: ca }, Mean { sum: b, count: cb }) => Mean { - sum: a.sum_with(b), - count: ca + cb, - }, - (lhs, _) => lhs, - } - } - - /// Final value, or `None` when no cell contributed. `SUM` of an integer - /// attr is an exact integer and refuses past `i64` (SQLSTATE `22003`). - /// `MIN` / `MAX` keep the attr's kind. `COUNT` is an integer. `MEAN` is - /// always a float. - pub fn finalize(self) -> ArrayResult> { - match self { - AggregateResult::Sum { value, .. } - | AggregateResult::Min { value, .. } - | AggregateResult::Max { value, .. } => value.finish().map(Some), - AggregateResult::Count { count } => Ok(Some(AggScalar::Int( - i64::try_from(count).map_err(|_| ArrayError::NumericOverflow { - detail: format!("count {count} is out of range for bigint"), - })?, - ))), - AggregateResult::Mean { sum, count } if count > 0 => { - Ok(Some(AggScalar::Float(sum.to_f64() / count as f64))) - } - AggregateResult::Mean { .. } | AggregateResult::Empty(_) => Ok(None), - } - } -} - -fn empty(r: Reducer) -> AggregateResult { - AggregateResult::Empty(r) -} - -/// Reduce one attr column over all rows of a tile. `attr_idx` must be -/// in range; non-numeric / null cells are skipped (Count includes -/// non-null cells regardless of dtype, since "count of cells with this -/// attribute populated" is a sensible fold across all attr types). -pub fn aggregate_attr(tile: &SparseTile, attr_idx: usize, reducer: Reducer) -> AggregateResult { - let Some(col) = tile.attr_cols.get(attr_idx) else { - return empty(reducer); - }; - let mut acc = empty(reducer); - for v in col { - let one = single_cell(v, reducer); - acc = acc.merge(one); - } - acc -} - -fn single_cell(v: &CellValue, reducer: Reducer) -> AggregateResult { - use AggregateResult::*; - let n = AggNumber::of_cell(v); - match (reducer, n) { - (Reducer::Count, _) if !v.is_null() => Count { count: 1 }, - (Reducer::Count, _) => Empty(Reducer::Count), - (Reducer::Sum, Some(x)) => Sum { value: x, count: 1 }, - (Reducer::Min, Some(x)) => Min { value: x, count: 1 }, - (Reducer::Max, Some(x)) => Max { value: x, count: 1 }, - (Reducer::Mean, Some(x)) => Mean { sum: x, count: 1 }, - (r, None) => Empty(r), - } -} - -/// One bucket of a group-by aggregate. The key is the dim value the -/// rows share; `result` is the reducer's running partial over that -/// bucket. -#[derive(Debug, Clone)] -pub struct GroupAggregate { - pub key: CoordValue, - pub result: AggregateResult, -} - -/// Group rows by one dim's values and reduce `attr_idx` per group. -/// Returns groups in first-seen order. -pub fn group_by_dim( - tile: &SparseTile, - dim_idx: usize, - attr_idx: usize, - reducer: Reducer, -) -> Vec { - let Some(dict) = tile.dim_dicts.get(dim_idx) else { - return Vec::new(); - }; - let Some(col) = tile.attr_cols.get(attr_idx) else { - return Vec::new(); - }; - let mut order: Vec = Vec::new(); - let mut by_key: HashMap = HashMap::new(); - // Iterate physical rows; track live_idx separately because attr_cols only - // has entries for Live rows — sentinel rows carry no attr payload. - let mut live_idx = 0usize; - for row in 0..tile.row_count() { - let kind = match tile.row_kind(row) { - Ok(k) => k, - Err(_) => break, - }; - if kind != RowKind::Live { - continue; - } - let cell = match col.get(live_idx) { - Some(c) => c, - None => break, - }; - live_idx += 1; - let key = dict.values[dict.indices[row] as usize].clone(); - let one = single_cell(cell, reducer); - match by_key.get_mut(&key) { - Some(slot) => *slot = slot.merge(one), - None => { - order.push(key.clone()); - by_key.insert(key, empty(reducer).merge(one)); - } - } - } - order - .into_iter() - .map(|k| GroupAggregate { - result: by_key.remove(&k).unwrap_or(empty(reducer)), - key: k, - }) - .collect() -} - -#[cfg(test)] -mod tests { - use super::*; - use crate::schema::ArraySchema; - use crate::schema::ArraySchemaBuilder; - use crate::schema::attr_spec::{AttrSpec, AttrType}; - use crate::schema::dim_spec::{DimSpec, DimType}; - use crate::tile::sparse_tile::SparseTileBuilder; - use crate::types::domain::{Domain, DomainBound}; - - fn schema() -> ArraySchema { - ArraySchemaBuilder::new("g") - .dim(DimSpec::new( - "k", - DimType::Int64, - Domain::new(DomainBound::Int64(0), DomainBound::Int64(15)), - )) - .attr(AttrSpec::new("v", AttrType::Float64, true)) - .tile_extents(vec![16]) - .build() - .unwrap() - } - - fn tile(rows: &[(i64, Option)]) -> SparseTile { - let s = schema(); - let mut b = SparseTileBuilder::new(&s); - for (k, v) in rows { - let cv = v.map(CellValue::Float64).unwrap_or(CellValue::Null); - b.push(&[CoordValue::Int64(*k)], &[cv]).unwrap(); - } - b.build() - } - - fn fin(r: AggregateResult) -> Option { - r.finalize().expect("finalize") - } - - fn float(v: f64) -> Option { - Some(AggScalar::Float(v)) - } - - fn int_tile(dtype: AttrType, values: &[CellValue]) -> SparseTile { - let s = ArraySchemaBuilder::new("n") - .dim(DimSpec::new( - "k", - DimType::Int64, - Domain::new(DomainBound::Int64(0), DomainBound::Int64(15)), - )) - .attr(AttrSpec::new("v", dtype, true)) - .tile_extents(vec![16]) - .build() - .unwrap(); - let mut b = SparseTileBuilder::new(&s); - for (k, v) in values.iter().enumerate() { - b.push(&[CoordValue::Int64(k as i64)], std::slice::from_ref(v)) - .unwrap(); - } - b.build() - } - - #[test] - fn sum_skips_nulls() { - let t = tile(&[(0, Some(1.0)), (1, None), (2, Some(3.0))]); - let r = aggregate_attr(&t, 0, Reducer::Sum); - assert_eq!(fin(r), float(4.0)); - } - - #[test] - fn count_includes_nonnull_only() { - let t = tile(&[(0, Some(1.0)), (1, None), (2, Some(3.0))]); - let r = aggregate_attr(&t, 0, Reducer::Count); - assert_eq!(fin(r), Some(AggScalar::Int(2))); - } - - #[test] - fn min_max_mean() { - let t = tile(&[(0, Some(1.0)), (1, Some(5.0)), (2, Some(3.0))]); - assert_eq!(fin(aggregate_attr(&t, 0, Reducer::Min)), float(1.0)); - assert_eq!(fin(aggregate_attr(&t, 0, Reducer::Max)), float(5.0)); - assert_eq!(fin(aggregate_attr(&t, 0, Reducer::Mean)), float(3.0)); - } - - #[test] - fn merge_combines_partials_exactly() { - let a = AggregateResult::Mean { - sum: AggNumber::Float(10.0), - count: 4, - }; - let b = AggregateResult::Mean { - sum: AggNumber::Float(6.0), - count: 2, - }; - // (10 + 6) / (4 + 2) = 16/6 - assert_eq!(fin(a.merge(b)), float(16.0 / 6.0)); - } - - #[test] - fn empty_reducer_finalizes_to_none() { - let t = tile(&[(0, None)]); - let r = aggregate_attr(&t, 0, Reducer::Sum); - assert_eq!(fin(r), None); - } - - /// An `INT64` SUM keeps every unit past 2^53, and MIN / MAX stay exact - /// integers. MEAN is a float. - #[test] - fn integer_reducers_are_exact() { - let big = (1i64 << 53) + 1; - let t = int_tile( - AttrType::Int64, - &[CellValue::Int64(big), CellValue::Null, CellValue::Int64(0)], - ); - assert_eq!( - fin(aggregate_attr(&t, 0, Reducer::Sum)), - Some(AggScalar::Int(big)) - ); - assert_eq!( - fin(aggregate_attr(&t, 0, Reducer::Max)), - Some(AggScalar::Int(big)) - ); - assert_eq!( - fin(aggregate_attr(&t, 0, Reducer::Min)), - Some(AggScalar::Int(0)) - ); - assert!(matches!( - fin(aggregate_attr(&t, 0, Reducer::Mean)), - Some(AggScalar::Float(_)) - )); - } - - #[test] - fn integer_sum_past_bigint_is_refused() { - let t = int_tile( - AttrType::Int64, - &[CellValue::Int64(i64::MAX), CellValue::Int64(1)], - ); - assert!(matches!( - aggregate_attr(&t, 0, Reducer::Sum).finalize(), - Err(ArrayError::NumericOverflow { .. }) - )); - } - - #[test] - fn narrow_attrs_reduce() { - let t = int_tile( - AttrType::UInt16, - &[CellValue::UInt16(65535), CellValue::UInt16(65535)], - ); - assert_eq!( - fin(aggregate_attr(&t, 0, Reducer::Sum)), - Some(AggScalar::Int(131_070)) - ); - let f = int_tile( - AttrType::Float32, - &[CellValue::Float32(0.5), CellValue::Float32(f32::NAN)], - ); - assert!(matches!( - fin(aggregate_attr(&f, 0, Reducer::Max)), - Some(AggScalar::Float(v)) if v.is_nan() - )); - assert_eq!(fin(aggregate_attr(&f, 0, Reducer::Min)), float(0.5)); - } - - #[test] - fn group_by_buckets_by_dim_value() { - let t = tile(&[ - (0, Some(1.0)), - (1, Some(2.0)), - (0, Some(3.0)), - (1, Some(4.0)), - ]); - let g = group_by_dim(&t, 0, 0, Reducer::Sum); - assert_eq!(g.len(), 2); - // first-seen order: 0, then 1 - assert_eq!(g[0].key, CoordValue::Int64(0)); - assert_eq!(fin(g[0].result), float(4.0)); - assert_eq!(g[1].key, CoordValue::Int64(1)); - assert_eq!(fin(g[1].result), float(6.0)); - } -} diff --git a/nodedb-array/src/query/aggregate/fold.rs b/nodedb-array/src/query/aggregate/fold.rs new file mode 100644 index 000000000..77b9aa616 --- /dev/null +++ b/nodedb-array/src/query/aggregate/fold.rs @@ -0,0 +1,580 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Folding a tile's cells into reducer partials. +//! +//! A NULL cell and a cell equal to the attr's nodata contribute to no +//! reducer, `COUNT` included: nodata is not data. With `physical` set, a +//! numeric cell of an attr with a scale or offset contributes +//! `raw * scale + offset` as a float. + +use std::collections::HashMap; + +use nodedb_types::array_agg::{DistAcc, DistValue, Moments}; + +use super::reducer::Reducer; +use super::result::AggregateResult; +use crate::query::agg_number::AggNumber; +use crate::schema::attr_meta::AttrMeta; +use crate::tile::sparse_tile::{RowKind, SparseTile}; +use crate::types::cell_value::value::CellValue; +use crate::types::coord::value::CoordValue; + +/// How a reducer reads one attr's cells. +#[derive(Debug, Clone, Copy)] +pub struct AggRead<'a> { + pub reducer: Reducer, + /// The attr's metadata: its nodata, scale and offset. + pub meta: &'a AttrMeta, + /// Whether numeric cells read as `raw * scale + offset`. + pub physical: bool, +} + +impl AggRead<'_> { + /// The number `v` contributes, or `None` for a NULL, nodata or + /// non-numeric cell. + fn value(&self, v: &CellValue) -> Option { + if v.is_null() || self.meta.is_nodata(v) { + return None; + } + if self.physical + && let (Some((scale, offset)), Some(raw)) = (self.meta.transform(), v.as_f64()) + { + return Some(DistValue::Float(raw * scale + offset)); + } + match v.as_i64() { + Some(i) => Some(DistValue::Int(i)), + None => v.as_float().map(DistValue::Float), + } + } + + /// Fold cell `v` into `acc`. + fn fold(&self, acc: &mut AggregateResult, v: &CellValue) { + if matches!(self.reducer, Reducer::Count) { + if !v.is_null() && !self.meta.is_nodata(v) { + acc.absorb(AggregateResult::Count { count: 1 }); + } + return; + } + let Some(value) = self.value(v) else { + return; + }; + let number = match value { + DistValue::Int(i) => AggNumber::Int(i128::from(i)), + DistValue::Float(f) => AggNumber::Float(f), + }; + let as_f64 = number.to_f64(); + match self.reducer { + Reducer::Count => {} + Reducer::Sum => acc.absorb(AggregateResult::Sum { + value: number, + count: 1, + }), + Reducer::Min => acc.absorb(AggregateResult::Min { + value: number, + count: 1, + }), + Reducer::Max => acc.absorb(AggregateResult::Max { + value: number, + count: 1, + }), + Reducer::Mean => acc.absorb(AggregateResult::Mean { + sum: number, + count: 1, + }), + Reducer::Median | Reducer::Percentile(_) | Reducer::Mode => match acc { + AggregateResult::Dist { acc: dist, .. } => dist.insert(value, 1), + other => { + let mut dist = DistAcc::default(); + dist.insert(value, 1); + other.absorb(AggregateResult::Dist { + reducer: self.reducer, + acc: dist, + }); + } + }, + Reducer::StdDevPop | Reducer::StdDevSamp | Reducer::VarPop | Reducer::VarSamp => acc + .absorb(AggregateResult::Moments { + reducer: self.reducer, + moments: Moments::one(as_f64), + }), + Reducer::Histogram(spec) => { + if let AggregateResult::Empty(_) = acc { + *acc = AggregateResult::Histogram { + spec, + counts: spec.empty_counts(), + }; + } + if let (AggregateResult::Histogram { counts, .. }, Some(bin)) = + (acc, spec.bin_of(as_f64)) + && let Some(slot) = counts.get_mut(bin) + { + *slot += 1; + } + } + } + } +} + +/// Reduce attr `attr_idx` over every live row of `tile`. +pub fn aggregate_attr(tile: &SparseTile, attr_idx: usize, read: &AggRead<'_>) -> AggregateResult { + let mut acc = AggregateResult::empty(read.reducer); + if let Some(col) = tile.attr_cols.get(attr_idx) { + for v in col { + read.fold(&mut acc, v); + } + } + acc +} + +/// One bucket of a group-by aggregate: the dim value the rows share and +/// the reducer's partial over them. +#[derive(Debug, Clone)] +pub struct GroupAggregate { + pub key: CoordValue, + pub result: AggregateResult, +} + +/// Group rows by dim `dim_idx` and reduce `attr_idx` per group. A group +/// exists once any live row holds its key, even when every cell of it is +/// NULL or nodata. Returns groups in first-seen order. +pub fn group_by_dim( + tile: &SparseTile, + dim_idx: usize, + attr_idx: usize, + read: &AggRead<'_>, +) -> Vec { + let Some(dict) = tile.dim_dicts.get(dim_idx) else { + return Vec::new(); + }; + let Some(col) = tile.attr_cols.get(attr_idx) else { + return Vec::new(); + }; + let mut order: Vec = Vec::new(); + let mut by_key: HashMap = HashMap::new(); + // attr_cols holds entries for Live rows only, so the live index runs + // apart from the physical row. + let mut live_idx = 0usize; + for row in 0..tile.row_count() { + let Ok(kind) = tile.row_kind(row) else { + break; + }; + if kind != RowKind::Live { + continue; + } + let Some(cell) = col.get(live_idx) else { + break; + }; + live_idx += 1; + let Some(key) = dict + .indices + .get(row) + .and_then(|&i| dict.values.get(i as usize)) + else { + break; + }; + if !by_key.contains_key(key) { + order.push(key.clone()); + by_key.insert(key.clone(), AggregateResult::empty(read.reducer)); + } + if let Some(slot) = by_key.get_mut(key) { + read.fold(slot, cell); + } + } + order + .into_iter() + .map(|k| GroupAggregate { + result: by_key + .remove(&k) + .unwrap_or(AggregateResult::empty(read.reducer)), + key: k, + }) + .collect() +} + +#[cfg(test)] +mod tests { + use nodedb_types::array_agg::HistogramSpec; + + use super::*; + use crate::error::ArrayError; + use crate::query::agg_number::AggScalar; + use crate::query::aggregate::result::AggOutput; + use crate::schema::ArraySchemaBuilder; + use crate::schema::attr_spec::{AttrSpec, AttrType}; + use crate::schema::dim_spec::{DimSpec, DimType}; + use crate::tile::sparse_tile::SparseTileBuilder; + use crate::types::domain::{Domain, DomainBound}; + + static NO_META: AttrMeta = AttrMeta { + nodata: None, + scale: None, + offset: None, + units: None, + }; + + fn read(reducer: Reducer) -> AggRead<'static> { + AggRead { + reducer, + meta: &NO_META, + physical: false, + } + } + + /// A tile of `values` in attr `v` of type `dtype`, cell `k` at dim `k` + /// modulo `groups`. + fn tile_of(dtype: AttrType, values: &[CellValue], groups: i64) -> SparseTile { + let s = ArraySchemaBuilder::new("n") + .dim(DimSpec::new( + "k", + DimType::Int64, + Domain::new(DomainBound::Int64(0), DomainBound::Int64(1023)), + )) + .dim(DimSpec::new( + "i", + DimType::Int64, + Domain::new(DomainBound::Int64(0), DomainBound::Int64(1023)), + )) + .attr(AttrSpec::new("v", dtype, true)) + .tile_extents(vec![1024, 1024]) + .build() + .unwrap(); + let mut b = SparseTileBuilder::new(&s); + for (i, v) in values.iter().enumerate() { + let i = i as i64; + b.push( + &[CoordValue::Int64(i % groups), CoordValue::Int64(i)], + std::slice::from_ref(v), + ) + .unwrap(); + } + b.build() + } + + fn floats(values: &[Option]) -> SparseTile { + let cells: Vec = values + .iter() + .map(|v| v.map(CellValue::Float64).unwrap_or(CellValue::Null)) + .collect(); + tile_of(AttrType::Float64, &cells, 1) + } + + fn scalar(r: AggregateResult) -> Option { + match r.finalize().expect("finalize") { + AggOutput::Scalar(v) => v, + AggOutput::Bins(b) => panic!("scalar reducer answered bins: {b:?}"), + } + } + + fn float(v: f64) -> Option { + Some(AggScalar::Float(v)) + } + + fn close(got: Option, want: f64) { + match got { + Some(AggScalar::Float(v)) => assert!((v - want).abs() < 1e-9, "{v} != {want}"), + other => panic!("expected float {want}, got {other:?}"), + } + } + + #[test] + fn sum_count_min_max_mean_skip_nulls() { + let t = floats(&[Some(1.0), None, Some(5.0), Some(3.0)]); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Sum))), + float(9.0) + ); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Count))), + Some(AggScalar::Int(3)) + ); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Min))), + float(1.0) + ); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Max))), + float(5.0) + ); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Mean))), + float(3.0) + ); + } + + #[test] + fn integer_reducers_are_exact() { + let big = (1i64 << 53) + 1; + let t = tile_of( + AttrType::Int64, + &[CellValue::Int64(big), CellValue::Null, CellValue::Int64(0)], + 1, + ); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Sum))), + Some(AggScalar::Int(big)) + ); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Max))), + Some(AggScalar::Int(big)) + ); + let over = tile_of( + AttrType::Int64, + &[CellValue::Int64(i64::MAX), CellValue::Int64(1)], + 1, + ); + assert!(matches!( + aggregate_attr(&over, 0, &read(Reducer::Sum)).finalize(), + Err(ArrayError::NumericOverflow { .. }) + )); + } + + #[test] + fn median_percentile_and_mode() { + let t = floats(&[Some(4.0), Some(1.0), Some(3.0), Some(2.0), None]); + assert_eq!( + scalar(aggregate_attr(&t, 0, &read(Reducer::Median))), + float(2.5) + ); + close( + scalar(aggregate_attr(&t, 0, &read(Reducer::Percentile(0.9)))), + 3.7, + ); + let ints = tile_of( + AttrType::Int8, + &[ + CellValue::Int8(7), + CellValue::Int8(-2), + CellValue::Int8(7), + CellValue::Int8(-2), + CellValue::Int8(5), + ], + 1, + ); + // -2 and 7 tie at two cells each; the smaller wins. + assert_eq!( + scalar(aggregate_attr(&ints, 0, &read(Reducer::Mode))), + Some(AggScalar::Int(-2)) + ); + assert_eq!( + scalar(aggregate_attr(&ints, 0, &read(Reducer::Median))), + float(5.0) + ); + } + + #[test] + fn variance_and_standard_deviation() { + let t = floats(&[ + Some(2.0), + Some(4.0), + Some(4.0), + Some(4.0), + Some(5.0), + Some(5.0), + Some(7.0), + Some(9.0), + ]); + close(scalar(aggregate_attr(&t, 0, &read(Reducer::VarPop))), 4.0); + close( + scalar(aggregate_attr(&t, 0, &read(Reducer::StdDevPop))), + 2.0, + ); + close( + scalar(aggregate_attr(&t, 0, &read(Reducer::VarSamp))), + 32.0 / 7.0, + ); + close( + scalar(aggregate_attr(&t, 0, &read(Reducer::StdDevSamp))), + (32.0f64 / 7.0).sqrt(), + ); + let one = floats(&[Some(3.0)]); + assert_eq!( + scalar(aggregate_attr(&one, 0, &read(Reducer::VarSamp))), + None + ); + } + + #[test] + fn histogram_counts_in_range_values() { + let spec = HistogramSpec::new(2, 0.0, 10.0).expect("valid"); + let t = floats(&[ + Some(0.0), + Some(4.9), + Some(5.0), + Some(10.0), + Some(11.0), + None, + ]); + let AggOutput::Bins(bins) = aggregate_attr(&t, 0, &read(Reducer::Histogram(spec))) + .finalize() + .expect("finalize") + else { + panic!("histogram answers bins"); + }; + let counts: Vec = bins.iter().map(|b| b.count).collect(); + assert_eq!(counts, vec![2, 2]); + assert_eq!((bins[1].lo, bins[1].hi), (5.0, 10.0)); + } + + /// Every reducer: two partials of a split column merge to the result of + /// one pass over the whole column. + #[test] + fn merged_partials_equal_a_single_pass() { + let values: Vec> = [3.0, -1.5, 8.0, 3.0, 0.25, 9.5, 3.0, -4.0, 2.0] + .iter() + .map(|v| Some(*v)) + .collect(); + let spec = HistogramSpec::new(4, -4.0, 10.0).expect("valid"); + let whole = floats(&values); + let (left, right) = values.split_at(4); + let (a, b) = (floats(left), floats(right)); + for reducer in [ + Reducer::Sum, + Reducer::Count, + Reducer::Min, + Reducer::Max, + Reducer::Mean, + Reducer::Median, + Reducer::Percentile(0.3), + Reducer::Mode, + Reducer::VarPop, + Reducer::VarSamp, + Reducer::StdDevPop, + Reducer::StdDevSamp, + Reducer::Histogram(spec), + ] { + let r = read(reducer); + let merged = aggregate_attr(&a, 0, &r) + .merge(aggregate_attr(&b, 0, &r)) + .finalize() + .expect("merged"); + let single = aggregate_attr(&whole, 0, &r).finalize().expect("single"); + match (merged, single) { + ( + AggOutput::Scalar(Some(AggScalar::Float(x))), + AggOutput::Scalar(Some(AggScalar::Float(y))), + ) => { + assert!((x - y).abs() < 1e-9, "{reducer:?}: {x} != {y}") + } + (x, y) => assert_eq!(x, y, "{reducer:?}"), + } + } + } + + /// An all-NULL or all-nodata column answers NULL for every scalar + /// reducer, `COUNT` included. + #[test] + fn all_nodata_answers_null() { + let meta = AttrMeta { + nodata: Some(0.0), + ..AttrMeta::default() + }; + let t = tile_of( + AttrType::UInt16, + &[CellValue::UInt16(0), CellValue::Null, CellValue::UInt16(0)], + 1, + ); + for reducer in [ + Reducer::Sum, + Reducer::Count, + Reducer::Min, + Reducer::Mean, + Reducer::Median, + Reducer::Mode, + Reducer::VarPop, + ] { + let r = AggRead { + reducer, + meta: &meta, + physical: false, + }; + assert_eq!(scalar(aggregate_attr(&t, 0, &r)), None, "{reducer:?}"); + } + } + + #[test] + fn nodata_is_excluded_and_physical_applies_scale_offset() { + let meta = AttrMeta { + nodata: Some(0.0), + scale: Some(0.5), + offset: Some(-1.0), + units: None, + }; + let t = tile_of( + AttrType::UInt16, + &[ + CellValue::UInt16(0), + CellValue::UInt16(4), + CellValue::UInt16(8), + ], + 1, + ); + let raw = AggRead { + reducer: Reducer::Sum, + meta: &meta, + physical: false, + }; + assert_eq!( + scalar(aggregate_attr(&t, 0, &raw)), + Some(AggScalar::Int(12)) + ); + let count = AggRead { + reducer: Reducer::Count, + ..raw + }; + assert_eq!( + scalar(aggregate_attr(&t, 0, &count)), + Some(AggScalar::Int(2)) + ); + let physical = AggRead { + physical: true, + ..raw + }; + // (4 * 0.5 - 1) + (8 * 0.5 - 1) = 4. + assert_eq!(scalar(aggregate_attr(&t, 0, &physical)), float(4.0)); + let mode = AggRead { + reducer: Reducer::Max, + ..physical + }; + assert_eq!(scalar(aggregate_attr(&t, 0, &mode)), float(3.0)); + } + + #[test] + fn group_by_works_with_every_reducer_kind() { + // Cell k sits in group k % 2: group 0 holds 1, 3, 5; group 1 holds 2, 4. + let cells: Vec = (1..=5).map(CellValue::Int64).collect(); + let t = tile_of(AttrType::Int64, &cells, 2); + let spec = HistogramSpec::new(1, 0.0, 10.0).expect("valid"); + let by = |reducer| group_by_dim(&t, 0, 0, &read(reducer)); + let g = by(Reducer::Median); + assert_eq!(g.len(), 2); + assert_eq!(g[0].key, CoordValue::Int64(0)); + assert_eq!(scalar(g[0].result.clone()), float(3.0)); + assert_eq!(scalar(g[1].result.clone()), float(3.0)); + let g = by(Reducer::Sum); + assert_eq!(scalar(g[0].result.clone()), Some(AggScalar::Int(9))); + let g = by(Reducer::VarPop); + close(scalar(g[1].result.clone()), 1.0); + let g = by(Reducer::Histogram(spec)); + let AggOutput::Bins(bins) = g[0].result.clone().finalize().expect("bins") else { + panic!("histogram answers bins"); + }; + assert_eq!(bins[0].count, 3); + } + + #[test] + fn narrow_float_max_keeps_nan_high() { + let f = tile_of( + AttrType::Float32, + &[CellValue::Float32(0.5), CellValue::Float32(f32::NAN)], + 1, + ); + assert!(matches!( + scalar(aggregate_attr(&f, 0, &read(Reducer::Max))), + Some(AggScalar::Float(v)) if v.is_nan() + )); + assert_eq!( + scalar(aggregate_attr(&f, 0, &read(Reducer::Min))), + float(0.5) + ); + } +} diff --git a/nodedb-array/src/query/aggregate/mod.rs b/nodedb-array/src/query/aggregate/mod.rs new file mode 100644 index 000000000..40a28310c --- /dev/null +++ b/nodedb-array/src/query/aggregate/mod.rs @@ -0,0 +1,18 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Reductions over a sparse tile. +//! +//! Each reducer folds one attribute column into an [`AggregateResult`] +//! partial. Partials merge exactly across tiles, cores and shards, so a +//! merged result equals a single pass over every cell. +//! +//! Group-by ([`group_by_dim`]) buckets cells by one dim's values and +//! returns the groups in first-seen order. + +pub mod fold; +pub mod reducer; +pub mod result; + +pub use fold::{AggRead, GroupAggregate, aggregate_attr, group_by_dim}; +pub use reducer::Reducer; +pub use result::{AggOutput, AggregateResult}; diff --git a/nodedb-array/src/query/aggregate/reducer.rs b/nodedb-array/src/query/aggregate/reducer.rs new file mode 100644 index 000000000..034b8efc2 --- /dev/null +++ b/nodedb-array/src/query/aggregate/reducer.rs @@ -0,0 +1,35 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The reducers an array aggregate runs. + +use nodedb_types::array_agg::HistogramSpec; + +/// One array reducer. +/// +/// - `Sum`, `Min`, `Max`: exact for an integer attr. `Min` / `Max` sort NaN +/// above every other float. +/// - `Count`: the non-null, non-nodata cells of any attr type. +/// - `Mean`: carries `(sum, count)`, so merges are exact. +/// - `Median`, `Percentile(p)`: exact, by linear interpolation between the +/// closest ranks (PostgreSQL `percentile_cont`). `Median` is `p = 0.5`. +/// - `Mode`: the value the most cells hold, the smallest among ties. +/// - `StdDevPop`, `StdDevSamp`, `VarPop`, `VarSamp`: population and sample +/// forms, as PostgreSQL names them. +/// - `Histogram`: fixed-width bin counts over `[lo, hi]`. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum Reducer { + Sum, + Count, + Min, + Max, + Mean, + Median, + /// `0 <= p <= 1`. + Percentile(f64), + StdDevPop, + StdDevSamp, + VarPop, + VarSamp, + Mode, + Histogram(HistogramSpec), +} diff --git a/nodedb-array/src/query/aggregate/result.rs b/nodedb-array/src/query/aggregate/result.rs new file mode 100644 index 000000000..9d52a6442 --- /dev/null +++ b/nodedb-array/src/query/aggregate/result.rs @@ -0,0 +1,298 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Partial results of the array reducers, their exact merge, and their +//! final value. + +use nodedb_types::array_agg::{ + DistAcc, DistBudgetExceeded, DistValue, HistogramBin, HistogramSpec, Moments, +}; + +use super::reducer::Reducer; +use crate::error::{ArrayError, ArrayResult}; +use crate::query::agg_number::{AggNumber, AggScalar}; + +/// Partial result for one reducer over one (group of) cell(s). +#[derive(Debug, Clone, PartialEq)] +pub enum AggregateResult { + Sum { + value: AggNumber, + count: u64, + }, + Count { + count: u64, + }, + Min { + value: AggNumber, + count: u64, + }, + Max { + value: AggNumber, + count: u64, + }, + /// `(sum, count)`, so partials merge exactly. + Mean { + sum: AggNumber, + count: u64, + }, + /// `Median`, `Percentile` and `Mode`: every distinct value with its count. + Dist { + reducer: Reducer, + acc: DistAcc, + }, + /// The variance and standard-deviation reducers. + Moments { + reducer: Reducer, + moments: Moments, + }, + /// Histogram bin counts, one per bin of `spec`. + Histogram { + spec: HistogramSpec, + counts: Vec, + }, + /// No cell contributed yet. + Empty(Reducer), +} + +/// The final value of a reducer. +#[derive(Debug, Clone, PartialEq)] +pub enum AggOutput { + /// One value. `None` when no cell contributed. + Scalar(Option), + /// One entry per histogram bin, zero-count bins included. + Bins(Vec), +} + +impl AggregateResult { + /// The partial no cell has contributed to. + pub fn empty(reducer: Reducer) -> Self { + AggregateResult::Empty(reducer) + } + + /// Merge two partials of the same reducer. The executor merges only + /// same-reducer partials. A mismatched pair keeps the left side. + pub fn merge(self, other: AggregateResult) -> AggregateResult { + use AggregateResult::*; + match (self, other) { + (Empty(_), x) | (x, Empty(_)) => x, + ( + Sum { + value: a, + count: ca, + }, + Sum { + value: b, + count: cb, + }, + ) => Sum { + value: a.sum_with(b), + count: ca + cb, + }, + (Count { count: a }, Count { count: b }) => Count { count: a + b }, + ( + Min { + value: a, + count: ca, + }, + Min { + value: b, + count: cb, + }, + ) => Min { + value: a.min_with(b), + count: ca + cb, + }, + ( + Max { + value: a, + count: ca, + }, + Max { + value: b, + count: cb, + }, + ) => Max { + value: a.max_with(b), + count: ca + cb, + }, + (Mean { sum: a, count: ca }, Mean { sum: b, count: cb }) => Mean { + sum: a.sum_with(b), + count: ca + cb, + }, + (Dist { reducer, mut acc }, Dist { acc: other, .. }) => { + acc.merge(other); + Dist { reducer, acc } + } + (Moments { reducer, moments }, Moments { moments: other, .. }) => Moments { + reducer, + moments: moments.merge(other), + }, + (Histogram { spec, mut counts }, Histogram { counts: other, .. }) => { + spec.merge_counts(&mut counts, &other); + Histogram { spec, counts } + } + (lhs, _) => lhs, + } + } + + /// Merge `other` into this partial in place. + pub fn absorb(&mut self, other: AggregateResult) { + let current = std::mem::replace(self, AggregateResult::Empty(Reducer::Count)); + *self = current.merge(other); + } + + /// The final value. + /// + /// - `SUM` of an integer attr is an exact integer and refuses past `i64` + /// (SQLSTATE `22003`). `MIN`, `MAX` and `MODE` keep the attr's kind. + /// `COUNT` is an integer. + /// - `MEAN`, `MEDIAN`, `PERCENTILE`, the variances and the standard + /// deviations are floats. + /// - A median, percentile or mode past the distinct-value budget refuses + /// (SQLSTATE `54000`). + /// - A histogram answers every bin, a zero count included. + pub fn finalize(self) -> ArrayResult { + let scalar = |v: Option| -> ArrayResult { Ok(AggOutput::Scalar(v)) }; + match self { + AggregateResult::Sum { value, .. } + | AggregateResult::Min { value, .. } + | AggregateResult::Max { value, .. } => scalar(Some(value.finish()?)), + AggregateResult::Count { count } => scalar(Some(AggScalar::Int( + i64::try_from(count).map_err(|_| ArrayError::NumericOverflow { + detail: format!("count {count} is out of range for bigint"), + })?, + ))), + AggregateResult::Mean { sum, count } if count > 0 => { + scalar(Some(AggScalar::Float(sum.to_f64() / count as f64))) + } + AggregateResult::Mean { .. } => scalar(None), + AggregateResult::Dist { reducer, acc } => scalar(finish_dist(reducer, acc)?), + AggregateResult::Moments { reducer, moments } => { + scalar(finish_moments(reducer, &moments).map(AggScalar::Float)) + } + AggregateResult::Histogram { spec, counts } => { + Ok(AggOutput::Bins(spec.finish(&counts))) + } + AggregateResult::Empty(Reducer::Histogram(spec)) => { + Ok(AggOutput::Bins(spec.finish(&[]))) + } + AggregateResult::Empty(_) => scalar(None), + } + } +} + +/// The final value of a median, percentile or mode. +fn finish_dist(reducer: Reducer, acc: DistAcc) -> ArrayResult> { + let dist = acc.into_dist(); + let refused = |e: DistBudgetExceeded| ArrayError::AggregateBudgetExceeded { + detail: e.to_string(), + }; + Ok(match reducer { + Reducer::Median => dist.percentile(0.5).map_err(refused)?.map(AggScalar::Float), + Reducer::Percentile(p) => dist.percentile(p).map_err(refused)?.map(AggScalar::Float), + Reducer::Mode => dist.mode().map_err(refused)?.map(|v| match v { + DistValue::Int(i) => AggScalar::Int(i), + DistValue::Float(f) => AggScalar::Float(f), + }), + Reducer::Sum + | Reducer::Count + | Reducer::Min + | Reducer::Max + | Reducer::Mean + | Reducer::StdDevPop + | Reducer::StdDevSamp + | Reducer::VarPop + | Reducer::VarSamp + | Reducer::Histogram(_) => None, + }) +} + +/// The final value of a variance or standard deviation. +pub fn finish_moments(reducer: Reducer, moments: &Moments) -> Option { + match reducer { + Reducer::VarPop => moments.var_pop(), + Reducer::VarSamp => moments.var_samp(), + Reducer::StdDevPop => moments.var_pop().map(f64::sqrt), + Reducer::StdDevSamp => moments.var_samp().map(f64::sqrt), + Reducer::Sum + | Reducer::Count + | Reducer::Min + | Reducer::Max + | Reducer::Mean + | Reducer::Median + | Reducer::Percentile(_) + | Reducer::Mode + | Reducer::Histogram(_) => None, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn fin(r: AggregateResult) -> Option { + match r.finalize().expect("finalize") { + AggOutput::Scalar(v) => v, + AggOutput::Bins(b) => panic!("scalar reducer answered bins: {b:?}"), + } + } + + #[test] + fn mean_merges_exactly() { + let a = AggregateResult::Mean { + sum: AggNumber::Float(10.0), + count: 4, + }; + let b = AggregateResult::Mean { + sum: AggNumber::Float(6.0), + count: 2, + }; + assert_eq!(fin(a.merge(b)), Some(AggScalar::Float(16.0 / 6.0))); + } + + #[test] + fn empty_scalar_reducers_finalize_to_none() { + for r in [ + Reducer::Sum, + Reducer::Count, + Reducer::Median, + Reducer::Percentile(0.9), + Reducer::Mode, + Reducer::VarSamp, + Reducer::StdDevPop, + ] { + assert_eq!(fin(AggregateResult::Empty(r)), None, "{r:?}"); + } + } + + #[test] + fn an_empty_histogram_answers_every_bin_at_zero() { + let spec = HistogramSpec::new(3, 0.0, 3.0).expect("valid"); + let AggOutput::Bins(bins) = AggregateResult::Empty(Reducer::Histogram(spec)) + .finalize() + .expect("finalize") + else { + panic!("histogram answers bins"); + }; + assert_eq!(bins.len(), 3); + assert!(bins.iter().all(|b| b.count == 0)); + } + + #[test] + fn an_over_budget_distribution_is_refused() { + let r = AggregateResult::Dist { + reducer: Reducer::Median, + acc: DistAcc::OverBudget { distinct: 7 }, + }; + assert!(matches!( + r.finalize(), + Err(ArrayError::AggregateBudgetExceeded { .. }) + )); + } + + #[test] + fn absorb_equals_merge() { + let mut a = AggregateResult::Count { count: 2 }; + a.absorb(AggregateResult::Count { count: 3 }); + assert_eq!(a, AggregateResult::Count { count: 5 }); + } +} diff --git a/nodedb-array/src/query/mod.rs b/nodedb-array/src/query/mod.rs index cc898231a..fa1cebb7c 100644 --- a/nodedb-array/src/query/mod.rs +++ b/nodedb-array/src/query/mod.rs @@ -4,7 +4,7 @@ //! //! Pure, tile-local primitives: slice (coord-range filter), project //! (attr subset), region (coordinate box plus polygon zone), aggregate -//! (sum/count/min/max/mean with optional group-by + cross-tile merge), +//! (exact reducers with optional group-by + cross-tile merge), //! elementwise (binary ops between two aligned tiles) and rechunk //! (re-bucket cells into a new tile-extent layout). No engine state, no plane crossings — the executor wires these //! into the physical plan. @@ -13,6 +13,7 @@ pub mod agg_number; pub mod aggregate; pub mod ceiling; pub mod elementwise; +pub mod physical; pub mod project; pub mod rechunk; pub mod region; @@ -21,9 +22,12 @@ pub mod slice; pub mod zone_frame; pub use agg_number::{AggNumber, AggScalar}; -pub use aggregate::{AggregateResult, GroupAggregate, Reducer, aggregate_attr, group_by_dim}; +pub use aggregate::{ + AggOutput, AggRead, AggregateResult, GroupAggregate, Reducer, aggregate_attr, group_by_dim, +}; pub use ceiling::{CeilingParams, CeilingResult, ceiling_resolve_cell}; pub use elementwise::{BinaryOp, elementwise}; +pub use physical::{physical_cells, physical_sparse}; pub use project::{Projection, project_sparse}; pub use rechunk::rechunk_sparse; pub use region::{ diff --git a/nodedb-array/src/query/physical.rs b/nodedb-array/src/query/physical.rs new file mode 100644 index 000000000..36e5544f0 --- /dev/null +++ b/nodedb-array/src/query/physical.rs @@ -0,0 +1,97 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Physical reads: every attr cell through its attr's metadata. +//! +//! A nodata cell reads as NULL. A numeric cell of an attr with a scale or +//! offset reads as `raw * scale + offset`, a `FLOAT64`. Every other cell +//! reads unchanged. See [`crate::schema::AttrMeta::physical_cell`]. + +use crate::schema::ArraySchema; +use crate::tile::sparse_tile::SparseTile; +use crate::types::cell_value::value::CellValue; + +/// `tile` with every attr column in schema order read physically. +pub fn physical_sparse(schema: &ArraySchema, mut tile: SparseTile) -> SparseTile { + for (col, attr) in tile.attr_cols.iter_mut().zip(&schema.attrs) { + if attr.meta.nodata.is_none() && attr.meta.transform().is_none() { + continue; + } + for cell in col.iter_mut() { + *cell = attr + .meta + .physical_cell(std::mem::replace(cell, CellValue::Null)); + } + } + tile +} + +/// One cell's attrs, in schema order, read physically. +pub fn physical_cells(schema: &ArraySchema, attrs: Vec) -> Vec { + attrs + .into_iter() + .zip(&schema.attrs) + .map(|(cell, attr)| attr.meta.physical_cell(cell)) + .collect() +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::schema::ArraySchemaBuilder; + use crate::schema::attr_meta::AttrMeta; + use crate::schema::attr_spec::{AttrSpec, AttrType}; + use crate::schema::dim_spec::{DimSpec, DimType}; + use crate::tile::sparse_tile::SparseTileBuilder; + use crate::types::coord::value::CoordValue; + use crate::types::domain::{Domain, DomainBound}; + + fn schema() -> ArraySchema { + ArraySchemaBuilder::new("scene") + .dim(DimSpec::new( + "x", + DimType::Int64, + Domain::new(DomainBound::Int64(0), DomainBound::Int64(15)), + )) + .attr( + AttrSpec::new("red", AttrType::UInt16, true).with_meta(AttrMeta { + nodata: Some(0.0), + scale: Some(0.5), + offset: Some(1.0), + units: Some("reflectance".into()), + }), + ) + .attr(AttrSpec::new("qa", AttrType::UInt8, true)) + .tile_extents(vec![16]) + .build() + .unwrap() + } + + #[test] + fn nodata_reads_null_and_scaled_attrs_read_floats() { + let s = schema(); + let mut b = SparseTileBuilder::new(&s); + b.push( + &[CoordValue::Int64(0)], + &[CellValue::UInt16(0), CellValue::UInt8(3)], + ) + .unwrap(); + b.push( + &[CoordValue::Int64(1)], + &[CellValue::UInt16(4), CellValue::UInt8(0)], + ) + .unwrap(); + let t = physical_sparse(&s, b.build()); + assert_eq!( + t.attr_cols[0], + vec![CellValue::Null, CellValue::Float64(3.0)] + ); + assert_eq!( + t.attr_cols[1], + vec![CellValue::UInt8(3), CellValue::UInt8(0)] + ); + assert_eq!( + physical_cells(&s, vec![CellValue::UInt16(2), CellValue::UInt8(9)]), + vec![CellValue::Float64(2.0), CellValue::UInt8(9)] + ); + } +} diff --git a/nodedb-array/src/query/region.rs b/nodedb-array/src/query/region.rs index b41c2864b..d756e385d 100644 --- a/nodedb-array/src/query/region.rs +++ b/nodedb-array/src/query/region.rs @@ -18,7 +18,7 @@ //! * [`filter_region_owned`] — per-cell filter of one tile, through a //! [`PreparedRegion`] built once per scan. -use nodedb_spatial::crs::Transformer; +use nodedb_crs::Transformer; use nodedb_types::geometry::point_in_polygon; use super::slice::{Slice, cell_in_slice, filter_sparse, slice_sparse_owned, tile_overlaps_slice}; @@ -315,6 +315,7 @@ mod tests { /// A zone drawn in `zone_srid` over a world-mode array in `array_srid`. fn framed(array_srid: Srid, zone_srid: Srid, polygons: Vec) -> ArrayRegion { + let ctx = nodedb_crs::CrsContext::builtin_only(); ArrayRegion::new( Slice::default(), Some(PolygonZone { @@ -323,8 +324,8 @@ mod tests { polygons, frame: Some(ZoneFrame { transform: None, - array_srid, - zone_srid, + array_crs: (*ctx.resolve(array_srid).unwrap()).clone(), + zone_crs: (*ctx.resolve(zone_srid).unwrap()).clone(), dim_bbox: [-180.0, -90.0, 180.0, 90.0], }), }), @@ -334,8 +335,8 @@ mod tests { #[test] fn a_framed_zone_keeps_the_edge_and_hole_rules() { let r = framed( - Srid::Wgs84, - Srid::Wgs84, + Srid::WGS84, + Srid::WGS84, vec![ZonePolygon { exterior: square(0.0, 10.0), holes: vec![square(4.0, 6.0)], @@ -360,8 +361,8 @@ mod tests { #[test] fn a_cell_the_projection_cannot_map_is_outside() { let r = framed( - Srid::Wgs84, - Srid::Utm47N, + Srid::WGS84, + Srid::new(32647).unwrap(), vec![ZonePolygon { exterior: square(-1.0e7, 1.0e7), holes: Vec::new(), @@ -378,8 +379,8 @@ mod tests { #[test] fn a_framed_zone_prunes_by_its_dim_box() { let mut r = framed( - Srid::Wgs84, - Srid::Wgs84, + Srid::WGS84, + Srid::WGS84, vec![ZonePolygon { exterior: square(0.0, 50.0), holes: Vec::new(), diff --git a/nodedb-array/src/query/zone_frame.rs b/nodedb-array/src/query/zone_frame.rs index b94948cf2..1f731ae1c 100644 --- a/nodedb-array/src/query/zone_frame.rs +++ b/nodedb-array/src/query/zone_frame.rs @@ -8,8 +8,14 @@ //! casting runs there. A zone edge is straight in the zone SRID, so its image //! in dim space is curved. The dim box densifies each exterior edge by //! recursive bisection before it takes the bounds. +//! +//! The Control Plane resolves both CRS definitions when it builds the frame +//! and the frame carries them, so the Data Plane maps cells without a CRS +//! registry. + +use std::sync::Arc; -use nodedb_spatial::crs::Transformer; +use nodedb_crs::{CrsContext, CrsDef, Transformer, UnknownSrid}; use nodedb_types::geometry::Srid; use serde::{Deserialize, Serialize}; @@ -32,7 +38,7 @@ const WORLD_TOLERANCE_DIVISOR: f64 = 64.0; /// Offset from a pixel corner to its centre, in pixels. const PIXEL_CENTRE: f64 = 0.5; -/// The SRIDs and affine that carry a cell into the zone's SRID. +/// The CRS definitions and affine that carry a cell into the zone's SRID. #[derive( Debug, Clone, @@ -45,8 +51,10 @@ const PIXEL_CENTRE: f64 = 0.5; pub struct ZoneFrame { /// The georef affine. `None` means the dims hold world coordinates. pub transform: Option, - pub array_srid: Srid, - pub zone_srid: Srid, + /// The array's GEOREF CRS, resolved. + pub array_crs: CrsDef, + /// The zone's CRS, resolved. + pub zone_crs: CrsDef, /// `[min_x, min_y, max_x, max_y]` in dim coordinates. /// /// Every cell the zone holds lies inside it. Pruning reads it. Membership @@ -57,7 +65,15 @@ pub struct ZoneFrame { impl ZoneFrame { /// The cell-to-zone transformer. Build one per scan, never one per cell. pub fn cell_transformer(&self) -> Transformer { - Transformer::new(self.array_srid, self.zone_srid) + Transformer::new( + Arc::new(self.array_crs.clone()), + Arc::new(self.zone_crs.clone()), + ) + } + + /// The SRID of the zone's coordinates. + pub fn zone_srid(&self) -> Srid { + self.zone_crs.srid } /// Position in the zone SRID of the centre of the cell at dim @@ -81,7 +97,10 @@ impl ZoneFrame { }, None => [coord_to_f64(x)?, coord_to_f64(y)?], }; - transformer.apply(world).ok() + transformer + .apply([world[0], world[1], 0.0]) + .ok() + .map(|[zx, zy, _]| [zx, zy]) } } @@ -116,6 +135,11 @@ pub enum ZoneFrameError { /// The zone has no exterior position. SQLSTATE `22000`. #[error("zone on array '{array}' has no exterior position")] EmptyZone { array: String }, + + /// The zone SRID or the array's GEOREF SRID names no defined CRS. + /// SQLSTATE `22000`. + #[error("zone on array '{array}': {source}")] + Crs { array: String, source: UnknownSrid }, } impl ZoneFrameError { @@ -125,12 +149,14 @@ impl ZoneFrameError { ZoneFrameError::NoGeoref { array } | ZoneFrameError::VertexBudget { array, .. } | ZoneFrameError::OutOfDomain { array, .. } - | ZoneFrameError::EmptyZone { array } => array, + | ZoneFrameError::EmptyZone { array } + | ZoneFrameError::Crs { array, .. } => array, } } } /// Build the frame of `polygons`, drawn in `zone_srid`, over `schema`. +/// Both SRIDs resolve through `ctx`. /// /// The dim box is padded by twice the chord tolerance. An `INT64` dim rounds /// it outward to whole coordinates. @@ -138,14 +164,16 @@ pub fn build_zone_frame( schema: &ArraySchema, zone_srid: Srid, polygons: &[ZonePolygon], + ctx: &CrsContext<'_>, ) -> Result { - build_with_budget(schema, zone_srid, polygons, MAX_FRAME_VERTICES) + build_with_budget(schema, zone_srid, polygons, ctx, MAX_FRAME_VERTICES) } fn build_with_budget( schema: &ArraySchema, zone_srid: Srid, polygons: &[ZonePolygon], + ctx: &CrsContext<'_>, budget: usize, ) -> Result { let georef = schema @@ -154,13 +182,21 @@ fn build_with_budget( .ok_or_else(|| ZoneFrameError::NoGeoref { array: schema.name.clone(), })?; + let resolve = |srid: Srid| { + ctx.resolve(srid).map_err(|source| ZoneFrameError::Crs { + array: schema.name.clone(), + source, + }) + }; + let zone_crs = resolve(zone_srid)?; + let array_crs = resolve(georef.srid)?; let tolerance = match georef.transform { Some(_) => PIXEL_TOLERANCE, None => world_tolerance(schema, georef.x_dim, georef.y_dim), }; let mut walk = EdgeWalk { array: &schema.name, - transformer: Transformer::new(zone_srid, georef.srid), + transformer: Transformer::new(Arc::clone(&zone_crs), Arc::clone(&array_crs)), transform: georef.transform, zone_srid, tolerance, @@ -186,8 +222,8 @@ fn build_with_budget( } Ok(ZoneFrame { transform: georef.transform, - array_srid: georef.srid, - zone_srid, + array_crs: (*array_crs).clone(), + zone_crs: (*zone_crs).clone(), dim_bbox, }) } @@ -277,10 +313,11 @@ impl EdgeWalk<'_> { }); } self.mapped += 1; - let world = self + let [wx, wy, _] = self .transformer - .apply(p) + .apply([p[0], p[1], 0.0]) .map_err(|e| self.out_of_domain(p, e.to_string()))?; + let world = [wx, wy]; let dim = match &self.transform { None => world, Some(gt) => { @@ -326,10 +363,25 @@ mod tests { /// Pixel size of the UTM grids, metres. const PIXEL_M: f64 = 30.0; + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } + + fn utm47n() -> Srid { + Srid::new(32647).unwrap() + } + + fn transformer(from: Srid, to: Srid) -> Transformer { + ctx().transformer(from, to).unwrap() + } + + fn apply2(t: &Transformer, [x, y]: [f64; 2]) -> [f64; 2] { + let [tx, ty, _] = t.apply([x, y, 0.0]).unwrap(); + [tx, ty] + } + fn utm(lon: f64, lat: f64) -> [f64; 2] { - Transformer::new(Srid::Wgs84, Srid::Utm47N) - .apply([lon, lat]) - .unwrap() + apply2(&transformer(Srid::WGS84, utm47n()), [lon, lat]) } fn pixel_schema(gt: [f64; 6]) -> ArraySchema { @@ -348,7 +400,7 @@ mod tests { .build() .unwrap() .with_georef(Some(ArrayGeoref { - srid: Srid::Utm47N, + srid: utm47n(), x_dim: 1, y_dim: 0, transform: Some(GeoTransform(gt)), @@ -404,7 +456,7 @@ mod tests { fn a_curved_edge_bounds_every_cell_inside_it() { let (schema, cols, rows) = grid_at_six_north(); let polygons = vec![rect(99.0, 6.0, 100.0, 6.5)]; - let frame = build_zone_frame(&schema, Srid::Wgs84, &polygons).unwrap(); + let frame = build_zone_frame(&schema, Srid::WGS84, &polygons, &ctx()).unwrap(); let zone = PolygonZone { x_dim: 1, y_dim: 0, @@ -437,7 +489,7 @@ mod tests { let (schema, cols, rows) = grid_at_six_north(); let gt = schema.georef.as_ref().unwrap().transform.unwrap(); let polygons = vec![rect(99.0, 6.0, 100.0, 6.5)]; - let frame = build_zone_frame(&schema, Srid::Wgs84, &polygons).unwrap(); + let frame = build_zone_frame(&schema, Srid::WGS84, &polygons, &ctx()).unwrap(); let zone = PolygonZone { x_dim: 1, y_dim: 0, @@ -450,13 +502,13 @@ mod tests { .iter() .map(|p| utm(p[0], p[1])) .collect(); - let to_lon_lat = Transformer::new(Srid::Utm47N, Srid::Wgs84); + let to_lon_lat = transformer(utm47n(), Srid::WGS84); let (mut differs, mut inside) = (0usize, 0usize); for row in 0..rows { for col in 0..cols { let exact = prepared.contains(&[CoordValue::Int64(row), CoordValue::Int64(col)]); let (x, y) = gt.cell_centre(col, row); - let [lon, lat] = to_lon_lat.apply([x, y]).unwrap(); + let [lon, lat] = apply2(&to_lon_lat, [x, y]); let truth = (99.0..100.0).contains(&lon) && (6.0..6.5).contains(&lat); assert_eq!(exact, truth, "cell ({row}, {col}) at ({lon}, {lat})"); let vertex_only = nodedb_types::geometry::point_in_polygon(x, y, &straight); @@ -476,8 +528,13 @@ mod tests { let (schema, _, _) = grid_at_six_north(); // The south edge straddles the central meridian at 99°E. In UTM the // parallel dips south at the meridian, between the two vertices. - let frame = - build_zone_frame(&schema, Srid::Wgs84, &[rect(98.5, 6.0, 99.5, 6.001)]).unwrap(); + let frame = build_zone_frame( + &schema, + Srid::WGS84, + &[rect(98.5, 6.0, 99.5, 6.001)], + &ctx(), + ) + .unwrap(); let gt = schema.georef.as_ref().unwrap().transform.unwrap(); let row_of = |lon: f64| { let p = utm(lon, 6.0); @@ -498,9 +555,14 @@ mod tests { #[test] fn a_world_frame_pads_by_the_tile_tolerance() { - let schema = world_schema(Srid::Wgs84, -180.0, 180.0, 64); - let frame = - build_zone_frame(&schema, Srid::Wgs84, &[rect(100.0, 2.0, 101.0, 3.0)]).unwrap(); + let schema = world_schema(Srid::WGS84, -180.0, 180.0, 64); + let frame = build_zone_frame( + &schema, + Srid::WGS84, + &[rect(100.0, 2.0, 101.0, 3.0)], + &ctx(), + ) + .unwrap(); // Same SRID: the edges map straight, and the pad is 2 · 64 / 64. assert_eq!(frame.dim_bbox, [98.0, 0.0, 103.0, 5.0]); assert_eq!(frame.transform, None); @@ -508,9 +570,9 @@ mod tests { #[test] fn a_zone_without_georef_is_refused() { - let mut schema = world_schema(Srid::Wgs84, 0.0, 10.0, 1); + let mut schema = world_schema(Srid::WGS84, 0.0, 10.0, 1); schema.georef = None; - let err = build_zone_frame(&schema, Srid::Wgs84, &[rect(1.0, 1.0, 2.0, 2.0)]) + let err = build_zone_frame(&schema, Srid::WGS84, &[rect(1.0, 1.0, 2.0, 2.0)], &ctx()) .expect_err("refused"); assert!(matches!(err, ZoneFrameError::NoGeoref { .. }), "{err:?}"); } @@ -518,8 +580,13 @@ mod tests { #[test] fn a_vertex_outside_the_projection_is_refused() { let (schema, _, _) = grid_at_six_north(); - let err = build_zone_frame(&schema, Srid::Wgs84, &[rect(150.0, 6.0, 151.0, 7.0)]) - .expect_err("refused"); + let err = build_zone_frame( + &schema, + Srid::WGS84, + &[rect(150.0, 6.0, 151.0, 7.0)], + &ctx(), + ) + .expect_err("refused"); assert!(matches!(err, ZoneFrameError::OutOfDomain { .. }), "{err:?}"); } @@ -527,8 +594,9 @@ mod tests { fn the_vertex_budget_is_enforced() { let (schema, _, _) = grid_at_six_north(); let polygons = [rect(99.0, 6.0, 100.0, 6.5)]; - assert!(build_with_budget(&schema, Srid::Wgs84, &polygons, 1 << 16).is_ok()); - let err = build_with_budget(&schema, Srid::Wgs84, &polygons, 8).expect_err("over budget"); + assert!(build_with_budget(&schema, Srid::WGS84, &polygons, &ctx(), 1 << 16).is_ok()); + let err = + build_with_budget(&schema, Srid::WGS84, &polygons, &ctx(), 8).expect_err("over budget"); assert_eq!( err, ZoneFrameError::VertexBudget { @@ -556,7 +624,7 @@ mod tests { ], holes: Vec::new(), }; - let err = build_zone_frame(&schema, Srid::Wgs84, &[ring]).expect_err("over budget"); + let err = build_zone_frame(&schema, Srid::WGS84, &[ring], &ctx()).expect_err("over budget"); assert!( matches!(err, ZoneFrameError::VertexBudget { .. }), "{err:?}" @@ -580,13 +648,13 @@ mod tests { fn every_inside_cell_lies_in_the_dim_bbox_for_random_zones() { let (schema, cols, rows) = grid_at_six_north(); let gt = schema.georef.as_ref().unwrap().transform.unwrap(); - let to_lon_lat = Transformer::new(Srid::Utm47N, Srid::Wgs84); + let to_lon_lat = transformer(utm47n(), Srid::WGS84); let mut rng = Lcg(0x5eed); for case in 0..24 { // A random quadrilateral whose corners fall inside the grid. let corner = |rng: &mut Lcg| { let (x, y) = gt.pixel_to_world(rng.next() * cols as f64, rng.next() * rows as f64); - to_lon_lat.apply([x, y]).unwrap() + apply2(&to_lon_lat, [x, y]) }; let a = corner(&mut rng); let b = corner(&mut rng); @@ -596,7 +664,7 @@ mod tests { exterior: vec![a, b, c, d, a], holes: Vec::new(), }]; - let frame = build_zone_frame(&schema, Srid::Wgs84, &polygons).unwrap(); + let frame = build_zone_frame(&schema, Srid::WGS84, &polygons, &ctx()).unwrap(); let [x0, y0, x1, y1] = frame.dim_bbox; let zone = PolygonZone { x_dim: 1, @@ -621,14 +689,34 @@ mod tests { #[test] fn a_frame_round_trips_through_msgpack() { + let ctx = ctx(); let frame = ZoneFrame { transform: Some(GeoTransform([1.0, 2.0, 0.0, 3.0, 0.0, -2.0])), - array_srid: Srid::Utm47N, - zone_srid: Srid::Wgs84, + array_crs: (*ctx.resolve(utm47n()).unwrap()).clone(), + zone_crs: (*ctx.resolve(Srid::WGS84).unwrap()).clone(), dim_bbox: [0.0, 1.0, 2.0, 3.0], }; let bytes = zerompk::to_msgpack_vec(&frame).unwrap(); let back: ZoneFrame = zerompk::from_msgpack(&bytes).unwrap(); assert_eq!(back, frame); } + + #[test] + fn an_undefined_zone_srid_is_refused() { + let (schema, _, _) = grid_at_six_north(); + let err = build_zone_frame( + &schema, + Srid::new(999).unwrap(), + &[rect(99.0, 6.0, 100.0, 6.5)], + &ctx(), + ) + .expect_err("refused"); + assert_eq!( + err, + ZoneFrameError::Crs { + array: "scene".into(), + source: UnknownSrid::Undefined { code: 999 } + } + ); + } } diff --git a/nodedb-array/src/schema/array_schema.rs b/nodedb-array/src/schema/array_schema.rs index abd394cf1..3550f3f5c 100644 --- a/nodedb-array/src/schema/array_schema.rs +++ b/nodedb-array/src/schema/array_schema.rs @@ -11,12 +11,13 @@ use serde::{Deserialize, Serialize}; -use super::attr_spec::AttrSpec; +use super::attr_meta::AttrMeta; +use super::attr_spec::{AttrSpec, AttrType}; use super::cell_order::{CellOrder, TileOrder}; use super::dim_spec::DimSpec; use super::georef::ArrayGeoref; use super::validation; -use crate::error::ArrayResult; +use crate::error::{ArrayError, ArrayResult}; /// Full array schema. #[derive( @@ -63,36 +64,77 @@ impl ArraySchema { self.attrs.iter().find(|a| a.name == name) } + /// This schema with `meta` in place of attr `attr`'s metadata, checked + /// against the attr type. + pub fn with_attr_meta(mut self, attr: &str, meta: AttrMeta) -> ArrayResult { + let array = self.name.clone(); + let spec = self + .attrs + .iter_mut() + .find(|a| a.name == attr) + .ok_or_else(|| ArrayError::InvalidAttr { + array: array.clone(), + attr: attr.to_string(), + detail: "no such attribute".to_string(), + })?; + meta.check(spec.dtype) + .map_err(|e| ArrayError::InvalidAttrMeta { + array, + attr: attr.to_string(), + detail: e.to_string(), + })?; + spec.meta = meta; + Ok(self) + } + /// MessagePack encoding of the schema's *content* fields — the parts /// that determine compatibility for cross-array element-wise ops. - /// Excludes the array `name` so two structurally-identical schemas - /// with different names produce identical bytes (and therefore - /// identical `schema_hash`). - pub fn content_msgpack(&self) -> Vec { - // Encode tuple of the structural fields. zerompk derives all - // cover the inner types. + /// Excludes the array `name`, the georef, and every attr's metadata, so + /// two structurally identical schemas produce identical bytes (and + /// therefore identical `schema_hash`). + pub fn content_msgpack(&self) -> ArrayResult> { + let attrs: Vec> = self + .attrs + .iter() + .map(|a| AttrContent { + name: &a.name, + dtype: a.dtype, + nullable: a.nullable, + }) + .collect(); let payload = SchemaContent { dims: &self.dims, - attrs: &self.attrs, + attrs, tile_extents: &self.tile_extents, cell_order: self.cell_order, tile_order: self.tile_order, }; - zerompk::to_msgpack_vec(&payload).unwrap_or_default() + zerompk::to_msgpack_vec(&payload).map_err(|e| ArrayError::SchemaEncode { + array: self.name.clone(), + detail: e.to_string(), + }) } } /// Borrowed view of the `ArraySchema` fields that participate in -/// content-only hashing (everything except `name`). +/// content-only hashing. #[derive(zerompk::ToMessagePack)] struct SchemaContent<'a> { dims: &'a Vec, - attrs: &'a Vec, + attrs: Vec>, tile_extents: &'a Vec, cell_order: CellOrder, tile_order: TileOrder, } +/// The content of one attr: everything but its metadata. +#[derive(zerompk::ToMessagePack)] +struct AttrContent<'a> { + name: &'a String, + dtype: AttrType, + nullable: bool, +} + #[cfg(test)] mod tests { use super::super::attr_spec::AttrType; @@ -121,7 +163,7 @@ mod tests { let a = mk("alpha"); let b = mk("beta"); assert_ne!(a.name, b.name); - assert_eq!(a.content_msgpack(), b.content_msgpack()); + assert_eq!(a.content_msgpack().unwrap(), b.content_msgpack().unwrap()); } #[test] @@ -173,7 +215,7 @@ mod tests { fn pixel_georef() -> ArrayGeoref { ArrayGeoref { - srid: nodedb_types::geometry::Srid::Utm47N, + srid: nodedb_types::geometry::Srid::new(32647).unwrap(), x_dim: 1, y_dim: 0, transform: Some(super::super::georef::GeoTransform([ @@ -187,7 +229,62 @@ mod tests { let plain = raster(); let geo = raster().with_georef(Some(pixel_georef())).unwrap(); assert_ne!(plain, geo); - assert_eq!(plain.content_msgpack(), geo.content_msgpack()); + assert_eq!( + plain.content_msgpack().unwrap(), + geo.content_msgpack().unwrap() + ); + } + + fn landsat_meta() -> AttrMeta { + AttrMeta { + nodata: Some(0.0), + scale: Some(0.0000275), + offset: Some(-0.2), + units: Some("reflectance".into()), + } + } + + #[test] + fn content_msgpack_ignores_attr_meta() { + let plain = raster(); + let with_meta = raster().with_attr_meta("b1", landsat_meta()).unwrap(); + assert_ne!(plain, with_meta); + assert_eq!( + plain.content_msgpack().unwrap(), + with_meta.content_msgpack().unwrap() + ); + let dropped = with_meta.with_attr_meta("b1", AttrMeta::default()).unwrap(); + assert_eq!(dropped, plain); + } + + #[test] + fn attr_meta_round_trips_and_is_checked() { + let with_meta = raster().with_attr_meta("b1", landsat_meta()).unwrap(); + let bytes = zerompk::to_msgpack_vec(&with_meta).unwrap(); + let back: ArraySchema = zerompk::from_msgpack(&bytes).unwrap(); + assert_eq!(back.attrs[0].meta, landsat_meta()); + let bad = AttrMeta { + nodata: Some(-1.0), + ..AttrMeta::default() + }; + assert!(matches!( + raster().with_attr_meta("b1", bad), + Err(ArrayError::InvalidAttrMeta { .. }) + )); + assert!(matches!( + raster().with_attr_meta("b9", landsat_meta()), + Err(ArrayError::InvalidAttr { .. }) + )); + } + + #[test] + fn content_change_changes_the_bytes() { + let mut narrowed = raster(); + narrowed.attrs[0] = AttrSpec::new("b1", AttrType::Int8, true); + assert_ne!( + raster().content_msgpack().unwrap(), + narrowed.content_msgpack().unwrap() + ); } #[test] diff --git a/nodedb-array/src/schema/attr_meta.rs b/nodedb-array/src/schema/attr_meta.rs new file mode 100644 index 000000000..00e521cf9 --- /dev/null +++ b/nodedb-array/src/schema/attr_meta.rs @@ -0,0 +1,291 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Reading metadata of one attribute: nodata, scale, offset, units. +//! +//! A stored cell holds the raw value. The physical value of a numeric cell +//! is `raw * scale + offset`, with a missing `scale` read as 1 and a +//! missing `offset` read as 0. A cell equal to `nodata` holds no data. +//! +//! The metadata stays out of [`super::ArraySchema::content_msgpack`], so +//! setting or dropping it never changes `schema_hash`. + +use serde::{Deserialize, Serialize}; + +use super::attr_spec::AttrType; +use crate::types::cell_value::value::CellValue; + +/// Optional reading metadata of an attribute. Every field `None` means +/// the attribute carries none. +#[derive( + Debug, Clone, Default, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, +)] +pub struct AttrMeta { + /// The raw value that marks a cell as holding no data. + pub nodata: Option, + /// The factor a reader multiplies a raw value by. + pub scale: Option, + /// The term a reader adds after the scale. + pub offset: Option, + /// The unit of the physical value, such as `reflectance`. + pub units: Option, +} + +/// Bit equality, so a NaN nodata equals itself. +impl PartialEq for AttrMeta { + fn eq(&self, other: &Self) -> bool { + let bits = |v: Option| v.map(f64::to_bits); + bits(self.nodata) == bits(other.nodata) + && bits(self.scale) == bits(other.scale) + && bits(self.offset) == bits(other.offset) + && self.units == other.units + } +} + +impl Eq for AttrMeta {} + +impl AttrMeta { + /// Whether no field is set. + pub fn is_empty(&self) -> bool { + self.nodata.is_none() + && self.scale.is_none() + && self.offset.is_none() + && self.units.is_none() + } + + /// The `(scale, offset)` a reader applies, or `None` when neither is set. + pub fn transform(&self) -> Option<(f64, f64)> { + if self.scale.is_none() && self.offset.is_none() { + return None; + } + Some((self.scale.unwrap_or(1.0), self.offset.unwrap_or(0.0))) + } + + /// Whether `v` equals the nodata value. + /// + /// An integer cell matches a whole nodata exactly. A `FLOAT32` cell + /// matches the nearest `f32` of the nodata, as GDAL compares. NaN + /// matches NaN. NULL, `STRING` and `BYTES` cells never match. + pub fn is_nodata(&self, v: &CellValue) -> bool { + let Some(nodata) = self.nodata else { + return false; + }; + match v { + CellValue::Float64(f) => *f == nodata || (f.is_nan() && nodata.is_nan()), + CellValue::Float32(f) => { + let n = nodata as f32; + *f == n || (f.is_nan() && n.is_nan()) + } + CellValue::Int64(_) + | CellValue::Int8(_) + | CellValue::UInt8(_) + | CellValue::Int16(_) + | CellValue::UInt16(_) + | CellValue::Int32(_) + | CellValue::UInt32(_) => match (v.as_i64(), whole_i64(nodata)) { + (Some(cell), Some(n)) => cell == n, + _ => false, + }, + CellValue::String(_) | CellValue::Bytes(_) | CellValue::Null => false, + } + } + + /// The physical value of `v`: NULL for a nodata cell, `raw * scale + + /// offset` as `FLOAT64` when a transform is set, and `v` unchanged + /// otherwise. + pub fn physical_cell(&self, v: CellValue) -> CellValue { + if self.is_nodata(&v) { + return CellValue::Null; + } + match (self.transform(), v.as_f64()) { + (Some((scale, offset)), Some(raw)) => CellValue::Float64(raw * scale + offset), + _ => v, + } + } + + /// Check every set field against attribute type `dtype`. + /// + /// - `NODATA`, `SCALE` and `OFFSET` apply to numeric attributes only. + /// - `SCALE` is finite and non-zero. `OFFSET` is finite. + /// - `NODATA` is a value of `dtype`: a whole number in range for an + /// integer type, and a value inside the `f32` range (or NaN or an + /// infinity) for `FLOAT32`. + /// - `UNITS` is non-empty. + pub fn check(&self, dtype: AttrType) -> Result<(), AttrMetaError> { + let numeric = dtype.int_range().is_some() || dtype.is_float(); + if !numeric && (self.nodata.is_some() || self.scale.is_some() || self.offset.is_some()) { + return Err(AttrMetaError::NotNumeric { + dtype: dtype.sql_name(), + }); + } + if let Some(scale) = self.scale + && (!scale.is_finite() || scale == 0.0) + { + return Err(AttrMetaError::Scale { scale }); + } + if let Some(offset) = self.offset + && !offset.is_finite() + { + return Err(AttrMetaError::Offset { offset }); + } + if let Some(nodata) = self.nodata + && !nodata_fits(nodata, dtype) + { + return Err(AttrMetaError::Nodata { + nodata, + dtype: dtype.sql_name(), + }); + } + if self.units.as_deref().is_some_and(str::is_empty) { + return Err(AttrMetaError::EmptyUnits); + } + Ok(()) + } +} + +/// Why attr metadata does not fit its attribute. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum AttrMetaError { + #[error("NODATA, SCALE and OFFSET apply to numeric attributes, not {dtype}")] + NotNumeric { dtype: &'static str }, + #[error("SCALE {scale} must be finite and non-zero")] + Scale { scale: f64 }, + #[error("OFFSET {offset} must be finite")] + Offset { offset: f64 }, + #[error("NODATA {nodata} is not a {dtype} value, so no cell can match it")] + Nodata { nodata: f64, dtype: &'static str }, + #[error("UNITS must not be empty; drop it with DROP UNITS")] + EmptyUnits, +} + +/// `v` as an `i64` when it is a whole number inside the `i64` range. +fn whole_i64(v: f64) -> Option { + // 2^63 is exact in f64. Every whole f64 in [-2^63, 2^63) is an i64. + const TWO_POW_63: f64 = 9_223_372_036_854_775_808.0; + (v.fract() == 0.0 && (-TWO_POW_63..TWO_POW_63).contains(&v)).then_some(v as i64) +} + +/// Whether `nodata` is a value of `dtype`. +fn nodata_fits(nodata: f64, dtype: AttrType) -> bool { + match dtype { + AttrType::Float64 => true, + AttrType::Float32 => !nodata.is_finite() || nodata.abs() <= f64::from(f32::MAX), + AttrType::Int64 + | AttrType::Int8 + | AttrType::UInt8 + | AttrType::Int16 + | AttrType::UInt16 + | AttrType::Int32 + | AttrType::UInt32 => match (whole_i64(nodata), dtype.int_range()) { + (Some(n), Some((lo, hi))) => lo <= n && n <= hi, + _ => false, + }, + AttrType::String | AttrType::Bytes => false, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn meta(nodata: Option, scale: Option, offset: Option) -> AttrMeta { + AttrMeta { + nodata, + scale, + offset, + units: None, + } + } + + #[test] + fn nodata_must_be_a_value_of_the_type() { + assert!(meta(Some(0.0), None, None).check(AttrType::UInt16).is_ok()); + assert!(meta(Some(-128.0), None, None).check(AttrType::Int8).is_ok()); + assert!( + meta(Some(f64::NAN), None, None) + .check(AttrType::Float32) + .is_ok() + ); + for (nodata, dtype) in [ + (-1.0, AttrType::UInt16), + (65_536.0, AttrType::UInt16), + (0.5, AttrType::UInt8), + (128.0, AttrType::Int8), + (f64::NAN, AttrType::Int32), + (1e39, AttrType::Float32), + (9_223_372_036_854_775_808.0, AttrType::Int64), + ] { + assert!( + meta(Some(nodata), None, None).check(dtype).is_err(), + "{nodata} as {dtype:?}" + ); + } + } + + #[test] + fn scale_offset_and_units_are_checked() { + assert!(meta(None, Some(0.0), None).check(AttrType::Int16).is_err()); + assert!( + meta(None, Some(f64::INFINITY), None) + .check(AttrType::Int16) + .is_err() + ); + assert!( + meta(None, None, Some(f64::NAN)) + .check(AttrType::Int16) + .is_err() + ); + assert!(meta(Some(0.0), None, None).check(AttrType::String).is_err()); + let empty_units = AttrMeta { + units: Some(String::new()), + ..AttrMeta::default() + }; + assert!(empty_units.check(AttrType::Float64).is_err()); + let text_units = AttrMeta { + units: Some("label".into()), + ..AttrMeta::default() + }; + assert!(text_units.check(AttrType::String).is_ok()); + } + + #[test] + fn nodata_matches_by_type() { + let ints = meta(Some(0.0), None, None); + assert!(ints.is_nodata(&CellValue::UInt16(0))); + assert!(!ints.is_nodata(&CellValue::UInt16(1))); + assert!(!ints.is_nodata(&CellValue::Null)); + let neg = meta(Some(-9999.0), None, None); + assert!(neg.is_nodata(&CellValue::Int16(-9999))); + assert!(neg.is_nodata(&CellValue::Float32(-9999.0))); + let tenth = meta(Some(0.1), None, None); + assert!(tenth.is_nodata(&CellValue::Float32(0.1))); + assert!(!tenth.is_nodata(&CellValue::Int64(0))); + let nan = meta(Some(f64::NAN), None, None); + assert!(nan.is_nodata(&CellValue::Float64(f64::NAN))); + assert!(nan.is_nodata(&CellValue::Float32(f32::NAN))); + assert!(!nan.is_nodata(&CellValue::Float64(1.0))); + } + + #[test] + fn physical_cells_apply_scale_and_offset() { + let landsat = meta(Some(0.0), Some(0.0000275), Some(-0.2)); + assert_eq!(landsat.physical_cell(CellValue::UInt16(0)), CellValue::Null); + let CellValue::Float64(v) = landsat.physical_cell(CellValue::UInt16(10_000)) else { + panic!("a scaled cell is FLOAT64"); + }; + assert!((v - 0.075).abs() < 1e-12, "{v}"); + let plain = meta(Some(0.0), None, None); + assert_eq!( + plain.physical_cell(CellValue::UInt16(7)), + CellValue::UInt16(7) + ); + assert_eq!(plain.physical_cell(CellValue::Null), CellValue::Null); + } + + #[test] + fn nan_nodata_equals_itself() { + let a = meta(Some(f64::NAN), None, None); + assert_eq!(a, a.clone()); + assert_ne!(a, meta(None, None, None)); + assert!(AttrMeta::default().is_empty()); + } +} diff --git a/nodedb-array/src/schema/attr_spec.rs b/nodedb-array/src/schema/attr_spec.rs index fdb9add65..fe0ae0543 100644 --- a/nodedb-array/src/schema/attr_spec.rs +++ b/nodedb-array/src/schema/attr_spec.rs @@ -4,6 +4,8 @@ use serde::{Deserialize, Serialize}; +use super::attr_meta::AttrMeta; + /// Attribute type tag. One-to-one with /// [`crate::types::cell_value::value::CellValue`] (excluding `Null`, /// which is per-cell, not per-attribute). @@ -38,6 +40,10 @@ pub enum AttrType { #[serde(rename = "uint32")] UInt32, Float32, + /// A 1-byte signed integer. The array DDL names widths in bits, so + /// `INT8` is this type, not PostgreSQL's 8-byte `int8`. + #[serde(rename = "int8")] + Int8, } impl AttrType { @@ -54,6 +60,7 @@ impl AttrType { AttrType::Int32 => "INT32", AttrType::UInt32 => "UINT32", AttrType::Float32 => "FLOAT32", + AttrType::Int8 => "INT8", } } @@ -62,6 +69,7 @@ impl AttrType { pub fn int_range(self) -> Option<(i64, i64)> { match self { AttrType::Int64 => Some((i64::MIN, i64::MAX)), + AttrType::Int8 => Some((i64::from(i8::MIN), i64::from(i8::MAX))), AttrType::UInt8 => Some((0, i64::from(u8::MAX))), AttrType::Int16 => Some((i64::from(i16::MIN), i64::from(i16::MAX))), AttrType::UInt16 => Some((0, i64::from(u16::MAX))), @@ -76,6 +84,7 @@ impl AttrType { match self { AttrType::Float64 | AttrType::Float32 => true, AttrType::Int64 + | AttrType::Int8 | AttrType::UInt8 | AttrType::Int16 | AttrType::UInt16 @@ -103,6 +112,10 @@ pub struct AttrSpec { pub dtype: AttrType, /// Whether the attribute may carry [`crate::types::CellValue::Null`]. pub nullable: bool, + /// Nodata, scale, offset and units. Not part of + /// [`super::ArraySchema::content_msgpack`], so it never changes + /// `schema_hash`. + pub meta: AttrMeta, } impl AttrSpec { @@ -111,8 +124,14 @@ impl AttrSpec { name: name.into(), dtype, nullable, + meta: AttrMeta::default(), } } + + /// This attribute with `meta` in place of its current metadata. + pub fn with_meta(self, meta: AttrMeta) -> Self { + Self { meta, ..self } + } } #[cfg(test)] @@ -129,6 +148,8 @@ mod tests { #[test] fn integer_ranges_match_their_widths() { assert_eq!(AttrType::UInt8.int_range(), Some((0, 255))); + assert_eq!(AttrType::Int8.int_range(), Some((-128, 127))); + assert_eq!(AttrType::Int8.sql_name(), "INT8"); assert_eq!(AttrType::Int16.int_range(), Some((-32768, 32767))); assert_eq!(AttrType::UInt16.int_range(), Some((0, 65535))); assert_eq!(AttrType::UInt32.int_range(), Some((0, 4_294_967_295))); diff --git a/nodedb-array/src/schema/builder.rs b/nodedb-array/src/schema/builder.rs index 2d2c84792..42cd1db15 100644 --- a/nodedb-array/src/schema/builder.rs +++ b/nodedb-array/src/schema/builder.rs @@ -151,7 +151,7 @@ mod tests { fn georef(transform: Option<[f64; 6]>) -> ArrayGeoref { ArrayGeoref { - srid: nodedb_types::geometry::Srid::Wgs84, + srid: nodedb_types::geometry::Srid::WGS84, x_dim: 1, y_dim: 0, transform: transform.map(super::super::georef::GeoTransform), diff --git a/nodedb-array/src/schema/georef.rs b/nodedb-array/src/schema/georef.rs index a890c135f..1dbd9517d 100644 --- a/nodedb-array/src/schema/georef.rs +++ b/nodedb-array/src/schema/georef.rs @@ -6,89 +6,10 @@ //! The georef stays out of [`super::ArraySchema::content_msgpack`]. Adding, //! changing, or removing it leaves `schema_hash` and every segment as they are. +pub use nodedb_crs::GeoTransform; use nodedb_types::geometry::Srid; use serde::{Deserialize, Serialize}; -/// Affine pixel-to-world transform in GDAL coefficient order. -/// -/// For a continuous pixel position `(u, v)`, `u` along the column axis and -/// `v` along the row axis: -/// -/// - `X = GT0 + u·GT1 + v·GT2` -/// - `Y = GT3 + u·GT4 + v·GT5` -/// -/// Pixel `(i, j)` covers `[i, i+1) × [j, j+1)`. Its centre is `(i+0.5, j+0.5)`. -#[derive( - Debug, Clone, Copy, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, -)] -pub struct GeoTransform(pub [f64; 6]); - -impl PartialEq for GeoTransform { - /// Bitwise equality. Validation admits finite coefficients only, so - /// this is equality of the stored values. - fn eq(&self, other: &Self) -> bool { - self.0 - .iter() - .zip(other.0.iter()) - .all(|(a, b)| a.to_bits() == b.to_bits()) - } -} - -impl Eq for GeoTransform {} - -impl GeoTransform { - /// `GT1·GT5 − GT2·GT4`. Zero means the transform has no inverse. - pub fn determinant(&self) -> f64 { - let [_, gt1, gt2, _, gt4, gt5] = self.0; - gt1 * gt5 - gt2 * gt4 - } - - /// World position of the continuous pixel position `(u, v)`. - pub fn pixel_to_world(&self, u: f64, v: f64) -> (f64, f64) { - let [gt0, gt1, gt2, gt3, gt4, gt5] = self.0; - (gt0 + u * gt1 + v * gt2, gt3 + u * gt4 + v * gt5) - } - - /// World position of the centre of pixel `(i, j)`. - pub fn cell_centre(&self, i: i64, j: i64) -> (f64, f64) { - self.pixel_to_world(i as f64 + 0.5, j as f64 + 0.5) - } - - /// Continuous pixel position of the world position `(x, y)`. - /// - /// Returns `None` when the determinant is zero or not finite. - pub fn world_to_pixel(&self, x: f64, y: f64) -> Option<(f64, f64)> { - let det = self.determinant(); - if det == 0.0 || !det.is_finite() { - return None; - } - let [gt0, gt1, gt2, gt3, gt4, gt5] = self.0; - let dx = x - gt0; - let dy = y - gt3; - Some(((gt5 * dx - gt2 * dy) / det, (gt1 * dy - gt4 * dx) / det)) - } - - /// Index of the pixel that holds the world position `(x, y)`. - /// - /// Returns `None` when the transform has no inverse or the index falls - /// outside `i64`. - pub fn world_to_cell(&self, x: f64, y: f64) -> Option<(i64, i64)> { - let (u, v) = self.world_to_pixel(x, y)?; - Some((floor_to_i64(u)?, floor_to_i64(v)?)) - } -} - -/// `floor(value)` as `i64`. `None` for a non-finite or out-of-range value. -fn floor_to_i64(value: f64) -> Option { - let floored = value.floor(); - // `i64::MAX as f64` rounds up to 2^63, which is outside `i64`. - if floored.is_finite() && floored >= i64::MIN as f64 && floored < i64::MAX as f64 { - Some(floored as i64) - } else { - None - } -} - /// Georeference of an array. /// /// `x_dim` and `y_dim` index into [`super::ArraySchema::dims`]. @@ -118,78 +39,10 @@ pub struct ArrayGeoref { mod tests { use super::*; - const EPS: f64 = 1e-9; - - fn assert_close(a: (f64, f64), b: (f64, f64), eps: f64) { - assert!( - (a.0 - b.0).abs() <= eps && (a.1 - b.1).abs() <= eps, - "{a:?} != {b:?}" - ); - } - - #[test] - fn north_up_centre_is_index_plus_half() { - let gt = GeoTransform([100_000.0, 10.0, 0.0, 200_000.0, 0.0, -10.0]); - assert_close(gt.cell_centre(0, 0), (100_005.0, 199_995.0), EPS); - assert_close(gt.cell_centre(3, 2), (100_035.0, 199_975.0), EPS); - } - - #[test] - fn centre_inverse_round_trip_north_up() { - let gt = GeoTransform([100_000.0, 10.0, 0.0, 200_000.0, 0.0, -10.0]); - for (i, j) in [(0, 0), (7, 3), (255, 191), (-4, 9)] { - let (x, y) = gt.cell_centre(i, j); - let (u, v) = gt.world_to_pixel(x, y).unwrap(); - assert_close((u, v), (i as f64 + 0.5, j as f64 + 0.5), EPS); - assert_eq!(gt.world_to_cell(x, y), Some((i, j))); - } - } - - #[test] - fn centre_inverse_round_trip_rotated() { - let gt = GeoTransform([500_000.0, 8.660254, 5.0, 4_000_000.0, 5.0, -8.660254]); - assert!(gt.determinant().abs() > 0.0); - for (i, j) in [(0, 0), (12, 40), (1023, 511)] { - let (x, y) = gt.cell_centre(i, j); - let (u, v) = gt.world_to_pixel(x, y).unwrap(); - assert_close((u, v), (i as f64 + 0.5, j as f64 + 0.5), 1e-6); - assert_eq!(gt.world_to_cell(x, y), Some((i, j))); - } - } - - #[test] - fn centre_inverse_round_trip_geographic_exponent() { - let res = 8.983152841195214e-05; - let gt = GeoTransform([100.5, res, 0.0, 6.5, 0.0, -res]); - let (x, y) = gt.cell_centre(0, 0); - assert_close((x, y), (100.5 + res / 2.0, 6.5 - res / 2.0), 1e-15); - for (i, j) in [(0, 0), (100, 200), (11_131, 5_000)] { - let (x, y) = gt.cell_centre(i, j); - let (u, v) = gt.world_to_pixel(x, y).unwrap(); - assert_close((u, v), (i as f64 + 0.5, j as f64 + 0.5), 1e-6); - assert_eq!(gt.world_to_cell(x, y), Some((i, j))); - } - } - - #[test] - fn singular_transform_has_no_inverse() { - let gt = GeoTransform([0.0, 1.0, 2.0, 0.0, 2.0, 4.0]); - assert_eq!(gt.determinant(), 0.0); - assert!(gt.world_to_pixel(1.0, 1.0).is_none()); - assert!(gt.world_to_cell(1.0, 1.0).is_none()); - } - - #[test] - fn out_of_range_index_is_none() { - let gt = GeoTransform([0.0, 1e-10, 0.0, 0.0, 0.0, -1e-10]); - assert!(gt.world_to_pixel(1e10, -1.0).is_some()); - assert!(gt.world_to_cell(1e10, -1.0).is_none()); - } - #[test] fn georef_msgpack_round_trip() { let g = ArrayGeoref { - srid: Srid::Utm47N, + srid: Srid::new(32647).unwrap(), x_dim: 1, y_dim: 0, transform: Some(GeoTransform([600_000.0, 10.0, 0.0, 700_000.0, 0.0, -10.0])), @@ -199,7 +52,7 @@ mod tests { assert_eq!(back, g); let world = ArrayGeoref { - srid: Srid::Wgs84, + srid: Srid::WGS84, x_dim: 0, y_dim: 1, transform: None, diff --git a/nodedb-array/src/schema/mod.rs b/nodedb-array/src/schema/mod.rs index c2096d48c..276c45238 100644 --- a/nodedb-array/src/schema/mod.rs +++ b/nodedb-array/src/schema/mod.rs @@ -1,6 +1,7 @@ // SPDX-License-Identifier: Apache-2.0 pub mod array_schema; +pub mod attr_meta; pub mod attr_spec; pub mod builder; pub mod cell_check; @@ -10,6 +11,7 @@ pub mod georef; pub mod validation; pub use array_schema::ArraySchema; +pub use attr_meta::{AttrMeta, AttrMetaError}; pub use attr_spec::{AttrSpec, AttrType}; pub use builder::ArraySchemaBuilder; pub use cell_order::{CellOrder, TileOrder}; diff --git a/nodedb-array/src/schema/validation/attrs.rs b/nodedb-array/src/schema/validation/attrs.rs index 82b8bbdc4..13d02f3f3 100644 --- a/nodedb-array/src/schema/validation/attrs.rs +++ b/nodedb-array/src/schema/validation/attrs.rs @@ -30,6 +30,13 @@ pub fn check(array: &str, attrs: &[AttrSpec]) -> ArrayResult<()> { detail: "duplicate attribute name".to_string(), }); } + a.meta + .check(a.dtype) + .map_err(|e| ArrayError::InvalidAttrMeta { + array: array.to_string(), + attr: a.name.clone(), + detail: e.to_string(), + })?; } Ok(()) } @@ -53,6 +60,21 @@ mod tests { assert!(check("a", &attrs).is_err()); } + #[test] + fn rejects_unrepresentable_nodata() { + let attrs = + vec![ + AttrSpec::new("b1", AttrType::UInt8, true).with_meta(crate::schema::AttrMeta { + nodata: Some(256.0), + ..crate::schema::AttrMeta::default() + }), + ]; + assert!(matches!( + check("a", &attrs), + Err(ArrayError::InvalidAttrMeta { .. }) + )); + } + #[test] fn accepts_well_formed_attrs() { let attrs = vec![ diff --git a/nodedb-array/src/schema/validation/georef.rs b/nodedb-array/src/schema/validation/georef.rs index 401446645..203251c87 100644 --- a/nodedb-array/src/schema/validation/georef.rs +++ b/nodedb-array/src/schema/validation/georef.rs @@ -109,7 +109,7 @@ mod tests { fn georef(x: u32, y: u32, transform: Option<[f64; 6]>) -> ArrayGeoref { ArrayGeoref { - srid: Srid::Utm47N, + srid: Srid::new(32647).unwrap(), x_dim: x, y_dim: y, transform: transform.map(GeoTransform), diff --git a/nodedb-array/src/tile/mbr.rs b/nodedb-array/src/tile/mbr.rs index 81e050e03..8fa64bc65 100644 --- a/nodedb-array/src/tile/mbr.rs +++ b/nodedb-array/src/tile/mbr.rs @@ -133,6 +133,7 @@ impl MbrBuilder { CellValue::Null => self.attr_nulls[i] += 1, CellValue::Int64(_) | CellValue::Float64(_) + | CellValue::Int8(_) | CellValue::UInt8(_) | CellValue::Int16(_) | CellValue::UInt16(_) diff --git a/nodedb-array/src/types/cell_value/narrow.rs b/nodedb-array/src/types/cell_value/narrow.rs index 2744b24c0..0ffe02794 100644 --- a/nodedb-array/src/types/cell_value/narrow.rs +++ b/nodedb-array/src/types/cell_value/narrow.rs @@ -54,6 +54,9 @@ impl CellValue { }; match dtype { AttrType::Int64 => Ok(CellValue::Int64(v)), + AttrType::Int8 => i8::try_from(v) + .map(CellValue::Int8) + .map_err(|_| out_of_range()), AttrType::UInt8 => u8::try_from(v) .map(CellValue::UInt8) .map_err(|_| out_of_range()), @@ -93,6 +96,7 @@ impl CellValue { Ok(CellValue::Float32(narrowed)) } AttrType::Int64 + | AttrType::Int8 | AttrType::UInt8 | AttrType::Int16 | AttrType::UInt16 @@ -129,6 +133,10 @@ mod tests { CellValue::from_int_literal(4_294_967_295, AttrType::UInt32), Ok(CellValue::UInt32(u32::MAX)) ); + assert_eq!( + CellValue::from_int_literal(-128, AttrType::Int8), + Ok(CellValue::Int8(-128)) + ); assert_eq!( CellValue::from_int_literal(3, AttrType::Float32), Ok(CellValue::Float32(3.0)) @@ -147,6 +155,8 @@ mod tests { (2_147_483_648, AttrType::Int32), (4_294_967_296, AttrType::UInt32), (-1, AttrType::UInt32), + (128, AttrType::Int8), + (-129, AttrType::Int8), ]; for (v, dtype) in cases { assert!( diff --git a/nodedb-array/src/types/cell_value/value.rs b/nodedb-array/src/types/cell_value/value.rs index 659fc1295..52dedab84 100644 --- a/nodedb-array/src/types/cell_value/value.rs +++ b/nodedb-array/src/types/cell_value/value.rs @@ -40,6 +40,7 @@ pub enum CellValue { Int32(i32), UInt32(u32), Float32(f32), + Int8(i8), } impl CellValue { @@ -61,6 +62,7 @@ impl CellValue { CellValue::Int32(_) => Some(AttrType::Int32), CellValue::UInt32(_) => Some(AttrType::UInt32), CellValue::Float32(_) => Some(AttrType::Float32), + CellValue::Int8(_) => Some(AttrType::Int8), } } @@ -69,6 +71,7 @@ impl CellValue { pub fn as_i64(&self) -> Option { match self { CellValue::Int64(v) => Some(*v), + CellValue::Int8(v) => Some(i64::from(*v)), CellValue::UInt8(v) => Some(i64::from(*v)), CellValue::Int16(v) => Some(i64::from(*v)), CellValue::UInt16(v) => Some(i64::from(*v)), @@ -90,6 +93,7 @@ impl CellValue { CellValue::Float64(v) => Some(*v), CellValue::Float32(v) => Some(widen_f32(*v)), CellValue::Int64(_) + | CellValue::Int8(_) | CellValue::UInt8(_) | CellValue::Int16(_) | CellValue::UInt16(_) @@ -127,6 +131,8 @@ mod tests { assert_eq!(CellValue::Float32(0.5).as_float(), Some(0.5)); assert_eq!(CellValue::Float32(0.5).as_i64(), None); assert_eq!(CellValue::UInt8(1).attr_type(), Some(AttrType::UInt8)); + assert_eq!(CellValue::Int8(-1).attr_type(), Some(AttrType::Int8)); + assert_eq!(CellValue::Int8(-128).as_i64(), Some(-128)); assert_eq!(CellValue::Null.attr_type(), None); } } diff --git a/nodedb-cluster-tests/Cargo.toml b/nodedb-cluster-tests/Cargo.toml index db1073ec4..4968254e7 100644 --- a/nodedb-cluster-tests/Cargo.toml +++ b/nodedb-cluster-tests/Cargo.toml @@ -27,7 +27,9 @@ nodedb-array = { workspace = true } nodedb-bridge = { workspace = true } nodedb-client = { workspace = true, features = ["native"] } nodedb-cluster = { workspace = true } +nodedb-columnar = { workspace = true } nodedb-crdt = { workspace = true } +nodedb-crs = { workspace = true } nodedb-physical = { workspace = true } nodedb-query = { workspace = true } nodedb-raft = { workspace = true } diff --git a/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_array_cluster_cut.rs b/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_array_cluster_cut.rs new file mode 100644 index 000000000..40579299e --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_array_cluster_cut.rs @@ -0,0 +1,143 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A cluster array aggregate reads one pinned system-time cut. +//! +//! `ARRAY_AGG ... AS OF SYSTEM TIME` pins to one ordinal under the +//! statement's read cut. The pinned scope, with its cut marker, rides each +//! shard request, and every serving node waits for the marker before it +//! reads. A grouped aggregate run on any node while a writer appends cells +//! across every shard reads a prefix of the writer's history, and a past +//! cut reads the same groups on every node and every run. + +use std::collections::BTreeSet; +use std::sync::atomic::{AtomicBool, Ordering}; +use std::time::Duration; + +use crate::common::cluster_harness::{TestCluster, TestClusterNode}; + +/// Cells the writer appends, one per `x`. Tiles of extent 4 spread them over +/// 16 tiles and many vShards. +const CELLS: i64 = 64; +/// Cells written before the past cut. +const BEFORE_CUT: i64 = 16; + +fn now_ms() -> i64 { + std::time::SystemTime::now() + .duration_since(std::time::UNIX_EPOCH) + .expect("clock after the epoch") + .as_millis() as i64 +} + +/// A cut one day past the wall clock. +fn future_ms() -> i64 { + now_ms() + 86_400_000 +} + +async fn write_cell(node: &TestClusterNode, x: i64) { + let sql = format!("INSERT INTO ARRAY bac_cut COORDS ({x}) VALUES ({x})"); + node.exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); +} + +/// The `x` groups a grouped count reads through `node` at `cut`. Every +/// group counts one cell. +async fn groups_at(node: &TestClusterNode, cut: i64) -> BTreeSet { + let sql = + format!("SELECT * FROM ARRAY_AGG('bac_cut', 'v', 'count', 'x') AS OF SYSTEM TIME {cut}"); + let messages = node + .client + .simple_query(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + messages + .iter() + .filter_map(|message| match message { + tokio_postgres::SimpleQueryMessage::Row(row) => { + let group = row.try_get("group").ok().flatten()?; + let count: f64 = row + .get("result") + .and_then(|r| r.parse().ok()) + .unwrap_or_else(|| panic!("{sql}: group {group} has no count")); + assert_eq!(count, 1.0, "{sql}: group {group} counts one cell"); + Some(group.parse().expect("group")) + } + _ => None, + }) + .collect() +} + +/// Check that `groups` is a prefix `0..n` of the writer's history. +fn assert_prefix(groups: &BTreeSet, stage: &str) { + let expected: BTreeSet = (0..groups.len() as i64).collect(); + assert_eq!( + groups, &expected, + "{stage}: the aggregate read a hole in the writer's history, so its shards read \ + different cuts" + ); +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_cluster_array_aggregate_reads_one_pinned_cut() { + let cluster = TestCluster::spawn_three() + .await + .expect("3-node cluster spawn"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE ARRAY bac_cut DIMS (x INT64 [0..{}]) ATTRS (v INT64) TILE_EXTENTS (4)", + CELLS - 1 + )) + .await + .expect("CREATE ARRAY bac_cut"); + + for x in 0..BEFORE_CUT { + write_cell(&cluster.nodes[0], x).await; + } + tokio::time::sleep(Duration::from_millis(50)).await; + let past_cut = now_ms(); + tokio::time::sleep(Duration::from_millis(50)).await; + + let done = AtomicBool::new(false); + let writer = async { + for x in BEFORE_CUT..CELLS { + write_cell(&cluster.nodes[0], x).await; + } + done.store(true, Ordering::SeqCst); + }; + let reader = async { + let mut reads = 0usize; + while !done.load(Ordering::SeqCst) { + let node = &cluster.nodes[reads % cluster.nodes.len()]; + let groups = groups_at(node, future_ms()).await; + assert_prefix( + &groups, + &format!("future cut through node {}", node.node_id), + ); + reads += 1; + } + reads + }; + let ((), reads) = tokio::join!(writer, reader); + assert!(reads > 0, "the aggregate ran while the writer wrote"); + + let before: BTreeSet = (0..BEFORE_CUT).collect(); + let all: BTreeSet = (0..CELLS).collect(); + for node in &cluster.nodes { + assert_eq!( + groups_at(node, future_ms()).await, + all, + "node {}: every cell is under a future cut after the writer ends", + node.node_id + ); + for run in 0..2 { + assert_eq!( + groups_at(node, past_cut).await, + before, + "node {}, run {run}: a past cut reads the cells written before it", + node.node_id + ); + } + } + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_replica_stamps.rs b/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_replica_stamps.rs new file mode 100644 index 000000000..31b1be210 --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_replica_stamps.rs @@ -0,0 +1,419 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A bitemporal version written outside Calvin has one system time on every +//! replica. +//! +//! A single-key autocommit write replicates through its data group's Raft +//! log. The group's leader stamps the entry with an ordinal of its clock as +//! it admits it, and every replica installs that ordinal. Each node's own +//! stored document version keys and columnar `_ts_system` cells then agree +//! ordinal for ordinal. After the leader stops, the new leader answers an +//! `AS OF` at each version's system time with the rows the old leader +//! answered. + +use std::collections::BTreeSet; +use std::time::Duration; + +use nodedb::types::TenantDataSnapshot; +use nodedb_types::{DatabaseId, TenantId}; + +use crate::common::cluster_harness::{TestCluster, TestClusterNode, read_once_a_leader_exists}; + +const DOCS: &str = "brs_docs"; +const COLS: &str = "brs_cols"; +const UPDATED: &str = "brs_updated"; +const DELETED: &str = "brs_deleted"; +const TENANT: u64 = 1; + +/// Every cell of every row `sql` returns through `node`, one string per row, +/// sorted. +pub(super) async fn rows(node: &TestClusterNode, sql: &str) -> Vec { + let messages = read_once_a_leader_exists( + sql, + Duration::from_secs(30), + Duration::from_millis(100), + || node.client.simple_query(sql), + ) + .await; + let mut out: Vec = messages + .iter() + .filter_map(|message| match message { + tokio_postgres::SimpleQueryMessage::Row(row) => Some( + (0..row.len()) + .map(|i| row.get(i).unwrap_or("NULL")) + .collect::>() + .join("|"), + ), + _ => None, + }) + .collect(); + out.sort(); + out +} + +/// Every version key of `DOCS` the cores of `node` store. The key ends in +/// the version's raw system-time ordinal. +fn doc_version_keys(snapshots: &[TenantDataSnapshot]) -> BTreeSet { + let marker = format!(":{DOCS}:"); + snapshots + .iter() + .flat_map(|snap| snap.documents_versioned.iter().map(|(key, _)| key)) + .filter(|key| key.contains(&marker)) + .cloned() + .collect() +} + +/// Every row of columnar collection `coll` the cores of `node` hold in +/// their memtables, `_ts_system` ordinal included. +fn columnar_rows(snapshots: &[TenantDataSnapshot], coll: &str) -> BTreeSet { + let suffix = format!(":{coll}"); + let mut out = BTreeSet::new(); + for (key, bytes) in snapshots + .iter() + .flat_map(|snap| snap.columnar_engines.iter()) + .filter(|(key, _)| key.ends_with(&suffix)) + { + let snap: nodedb_columnar::ColumnarEngineSnapshot = + zerompk::from_msgpack(bytes).unwrap_or_else(|e| panic!("{key}: decode: {e}")); + let (engine, _segments, _surrogates) = nodedb_columnar::MutationEngine::from_snapshot(snap) + .unwrap_or_else(|e| panic!("{key}: rebuild: {e}")); + let ts_idx = engine + .schema() + .ts_system_idx() + .expect("a bitemporal schema has _ts_system"); + for scanned in engine.scan_memtable_rows_with_surrogates() { + let (_, values) = scanned.unwrap_or_else(|e| panic!("{key}: row: {e}")); + let ts = match values.get(ts_idx) { + Some(nodedb_types::Value::Integer(ts)) => *ts, + other => panic!("{key}: no _ts_system ordinal: {other:?}"), + }; + out.insert(format!("{values:?} ts={ts}")); + } + } + out +} + +/// The audit log of `coll` through `node`, and for each distinct system +/// time in it the rows an `AS OF` read at it returns. The audit log of a +/// bitemporal columnar collection holds its tombstone versions too. +pub(super) async fn cut_view( + node: &TestClusterNode, + coll: &str, + cols: &str, +) -> Vec<(String, Vec)> { + let stamps: BTreeSet = rows( + node, + &format!("SELECT _ts_system FROM {coll} AS OF SYSTEM TIME NULL"), + ) + .await + .into_iter() + .collect(); + let mut view = Vec::with_capacity(stamps.len()); + for stamp in stamps { + let at = rows( + node, + &format!("SELECT {cols} FROM {coll} AS OF SYSTEM TIME {stamp}"), + ) + .await; + view.push((stamp, at)); + } + view +} + +/// The node id of the leader of `coll`'s data group, as `node` sees it. +fn group_leader(node: &TestClusterNode, coll: &str) -> u64 { + let vshard = nodedb_cluster::routing::vshard_for_collection( + nodedb_types::CollectionKey::from_bare(DatabaseId::DEFAULT, coll), + ); + let routing = node + .shared + .cluster_routing + .as_ref() + .expect("cluster routing") + .read() + .unwrap_or_else(|p| p.into_inner()); + let group = routing.group_for_vshard(vshard).expect("vShard group"); + routing + .group_info(group) + .map(|info| info.leader) + .unwrap_or(0) +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_version_written_outside_calvin_has_one_system_time_on_every_replica() { + let mut cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + for ddl in [ + format!( + "CREATE COLLECTION {DOCS} (id STRING PRIMARY KEY, value STRING) \ + WITH (engine='document_schemaless', bitemporal=true)" + ), + format!( + "CREATE COLLECTION {COLS} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + ), + ] { + cluster + .exec_ddl_on_any_leader(&ddl) + .await + .unwrap_or_else(|e| panic!("{ddl}: {e}")); + } + + // Single-key autocommit writes from a node that need not lead either + // group: each replicates as one data-group entry. + let writer = &cluster.nodes[1]; + for sql in [ + format!("INSERT INTO {DOCS} (id, value) VALUES ('k1', 'draft')"), + format!("INSERT INTO {COLS} (id, v) VALUES (1, 10)"), + format!("UPDATE {DOCS} SET value = 'final' WHERE id = 'k1'"), + // A declared primary key refuses a second INSERT of a current key, + // bitemporal or not: the second version comes from an UPDATE. + format!("UPDATE {COLS} SET v = 20 WHERE id = 1"), + format!("INSERT INTO {DOCS} (id, value) VALUES ('k2', 'other')"), + ] { + writer + .exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + tokio::time::sleep(Duration::from_millis(5)).await; + } + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + + // Each replica's own stored versions carry the same raw ordinals. + let mut doc_keys = Vec::new(); + let mut col_rows = Vec::new(); + for node in &cluster.nodes { + let snapshots = node.stored_tenant_snapshots(TenantId::new(TENANT)).await; + doc_keys.push((node.node_id, doc_version_keys(&snapshots))); + col_rows.push((node.node_id, columnar_rows(&snapshots, COLS))); + } + let (first_node, first_docs) = &doc_keys[0]; + assert_eq!( + first_docs.len(), + 3, + "node {first_node}: three document versions" + ); + for (node_id, keys) in &doc_keys[1..] { + assert_eq!( + keys, first_docs, + "node {node_id}: every document version keys the system time node {first_node} keys" + ); + } + let (first_node, first_cols) = &col_rows[0]; + assert_eq!( + first_cols.len(), + 2, + "node {first_node}: two columnar versions" + ); + for (node_id, cells) in &col_rows[1..] { + assert_eq!( + cells, first_cols, + "node {node_id}: every columnar version stamps the _ts_system node {first_node} stamps" + ); + } + + // Every node reads its own replica, and answers each cut alike. + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'eventual'") + .await + .unwrap_or_else(|e| panic!("node {}: eventual reads: {e}", node.node_id)); + } + let docs_before = cut_view(&cluster.nodes[0], DOCS, "id, value").await; + let cols_before = cut_view(&cluster.nodes[0], COLS, "id, v").await; + assert!(!docs_before.is_empty() && !cols_before.is_empty()); + for node in &cluster.nodes[1..] { + assert_eq!(cut_view(node, DOCS, "id, value").await, docs_before); + assert_eq!(cut_view(node, COLS, "id, v").await, cols_before); + } + + // Stop the documents group's leader. The new leader serves each cut from + // the ordinals it installed as a follower. + let leader = group_leader(&cluster.nodes[0], DOCS); + assert!(leader != 0, "the documents group has a leader"); + let index = cluster + .nodes + .iter() + .position(|node| node.node_id == leader) + .expect("leader node present"); + let _stopped = cluster.stop_member(index).await.expect("stop the leader"); + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'strong'") + .await + .unwrap_or_else(|e| panic!("node {}: strong reads: {e}", node.node_id)); + assert_eq!( + cut_view(node, DOCS, "id, value").await, + docs_before, + "node {} after the leader stopped: the document cuts answer as before", + node.node_id + ); + assert_eq!( + cut_view(node, COLS, "id, v").await, + cols_before, + "node {} after the leader stopped: the columnar cuts answer as before", + node.node_id + ); + } + + cluster.shutdown().await; +} + +/// Every stored `_ts_system` ordinal of columnar collection `coll` on +/// `node`, tombstone versions included, ascending. +pub(super) async fn stored_stamps(node: &TestClusterNode, coll: &str) -> Vec { + let snapshots = node.stored_tenant_snapshots(TenantId::new(TENANT)).await; + let mut stamps: Vec = columnar_rows(&snapshots, coll) + .into_iter() + .map(|row| { + row.rsplit("ts=") + .next() + .and_then(|ts| ts.parse().ok()) + .unwrap_or_else(|| panic!("row without an ordinal: {row}")) + }) + .collect(); + stamps.sort_unstable(); + stamps +} + +/// Two UPDATEs of one bitemporal columnar key land two new versions. With +/// the insert, the key holds three versions under three distinct ascending +/// system times, the same raw ordinals on every replica, and an `AS OF` at +/// each version's `_ts_system` returns that version. +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn each_columnar_update_lands_a_version_with_its_own_system_time() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE COLLECTION {UPDATED} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + )) + .await + .expect("CREATE COLLECTION"); + let writer = &cluster.nodes[2]; + for sql in [ + format!("INSERT INTO {UPDATED} (id, v) VALUES (1, 10)"), + format!("UPDATE {UPDATED} SET v = 20 WHERE id = 1"), + format!("UPDATE {UPDATED} SET v = 30 WHERE id = 1"), + ] { + writer + .exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + // Distinct milliseconds, so each version has its own cut. + tokio::time::sleep(Duration::from_millis(5)).await; + } + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + + let first = stored_stamps(&cluster.nodes[0], UPDATED).await; + assert_eq!(first.len(), 3, "three versions: {first:?}"); + assert!( + first.windows(2).all(|pair| pair[0] < pair[1]), + "distinct ascending system times: {first:?}" + ); + for node in &cluster.nodes[1..] { + assert_eq!( + stored_stamps(node, UPDATED).await, + first, + "node {}: every version stamps the ordinal node {} stamps", + node.node_id, + cluster.nodes[0].node_id + ); + } + + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'eventual'") + .await + .unwrap_or_else(|e| panic!("node {}: eventual reads: {e}", node.node_id)); + let view = cut_view(node, UPDATED, "id, v").await; + let values: Vec> = view.into_iter().map(|(_, at)| at).collect(); + assert_eq!( + values, + vec![ + vec!["1|10".to_string()], + vec!["1|20".to_string()], + vec!["1|30".to_string()], + ], + "node {}: each cut returns its version", + node.node_id + ); + } + + cluster.shutdown().await; +} + +/// A DELETE of a bitemporal columnar key closes it with a tombstone version. +/// The key holds the inserted version and the tombstone under two ascending +/// system times, the same raw ordinals on every replica. A current read +/// returns no row. The audit log holds both versions: an `AS OF` at the +/// insert's system time returns the inserted row, and one at the +/// tombstone's returns none. +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_columnar_delete_closes_its_key_with_its_own_system_time() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE COLLECTION {DELETED} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + )) + .await + .expect("CREATE COLLECTION"); + let writer = &cluster.nodes[2]; + for sql in [ + format!("INSERT INTO {DELETED} (id, v) VALUES (1, 10)"), + format!("DELETE FROM {DELETED} WHERE id = 1"), + ] { + writer + .exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + // Distinct milliseconds, so the insert has a cut before the close. + tokio::time::sleep(Duration::from_millis(5)).await; + } + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + + let first = stored_stamps(&cluster.nodes[0], DELETED).await; + assert_eq!(first.len(), 2, "the version and its tombstone: {first:?}"); + assert!( + first[0] < first[1], + "the tombstone stamps after the version: {first:?}" + ); + for node in &cluster.nodes[1..] { + assert_eq!( + stored_stamps(node, DELETED).await, + first, + "node {}: every version stamps the ordinal node {} stamps", + node.node_id, + cluster.nodes[0].node_id + ); + } + + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'eventual'") + .await + .unwrap_or_else(|e| panic!("node {}: eventual reads: {e}", node.node_id)); + assert_eq!( + rows(node, &format!("SELECT id, v FROM {DELETED}")).await, + Vec::::new(), + "node {}: a current read excludes the closed key", + node.node_id + ); + let view = cut_view(node, DELETED, "id, v").await; + assert_eq!( + view.into_iter().map(|(_, at)| at).collect::>(), + vec![vec!["1|10".to_string()], Vec::new()], + "node {}: a cut before the close returns the closed version, and a cut at the \ + close returns none", + node.node_id + ); + } + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_txn_columnar.rs b/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_txn_columnar.rs new file mode 100644 index 000000000..01f2d237c --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/bitemporal_txn_columnar.rs @@ -0,0 +1,224 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A transaction's UPDATE and DELETE on a bitemporal columnar collection keep +//! every version. +//! +//! The resolve stamps the transaction's rows with its one system time, raised +//! above each key's newest version, and the redo carries the stamps. Every +//! replica installs the new version of an updated key and the tombstone of a +//! deleted key at that stamp, and keeps the base rows as history. A rolled +//! back transaction installs nothing. A TRUNCATE, autocommit or inside a +//! transaction, closes every current key the same way. + +use std::time::Duration; + +use super::bitemporal_replica_stamps::{cut_view, rows, stored_stamps}; +use crate::common::cluster_harness::{TestCluster, TestClusterNode}; + +const COLL: &str = "btx_cols"; +const TRUNC: &str = "btx_trunc"; + +/// Run `statements` through one session of `node`, panicking on an error. +async fn session_run(node: &TestClusterNode, statements: &[String]) { + for sql in statements { + node.client + .simple_query(sql) + .await + .unwrap_or_else(|e| panic!("node {}: {sql}: {e}", node.node_id)); + } +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_transaction_keeps_every_columnar_version_it_supersedes() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE COLLECTION {COLL} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + )) + .await + .expect("CREATE COLLECTION"); + let writer = &cluster.nodes[2]; + for sql in [ + format!("INSERT INTO {COLL} (id, v) VALUES (1, 10)"), + format!("INSERT INTO {COLL} (id, v) VALUES (2, 20)"), + ] { + writer + .exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + // Distinct milliseconds, so each version has its own cut. + tokio::time::sleep(Duration::from_millis(5)).await; + } + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + let seeded = stored_stamps(&cluster.nodes[0], COLL).await; + assert_eq!(seeded.len(), 2, "two inserted versions: {seeded:?}"); + + let txn = |end: &str| { + vec![ + "BEGIN".to_string(), + format!("UPDATE {COLL} SET v = 11 WHERE id = 1"), + format!("DELETE FROM {COLL} WHERE id = 2"), + end.to_string(), + ] + }; + + // A rolled back transaction leaves the history as it was. + session_run(writer, &txn("ROLLBACK")).await; + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + for node in &cluster.nodes { + assert_eq!( + stored_stamps(node, COLL).await, + seeded, + "node {}: a rollback installs no version", + node.node_id + ); + } + + tokio::time::sleep(Duration::from_millis(5)).await; + session_run(writer, &txn("COMMIT")).await; + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + + let first = stored_stamps(&cluster.nodes[0], COLL).await; + assert_eq!( + first.len(), + 4, + "both inserted versions, id 1's new version and id 2's tombstone: {first:?}" + ); + assert_eq!(first[..2], seeded[..], "the base versions stay"); + assert_eq!( + first[2], first[3], + "the transaction's versions share its stamp" + ); + assert!( + first[2] > first[1], + "the transaction stamps after the base: {first:?}" + ); + for node in &cluster.nodes[1..] { + assert_eq!( + stored_stamps(node, COLL).await, + first, + "node {}: every version stamps the ordinal node {} stamps", + node.node_id, + cluster.nodes[0].node_id + ); + } + + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'eventual'") + .await + .unwrap_or_else(|e| panic!("node {}: eventual reads: {e}", node.node_id)); + assert_eq!( + rows(node, &format!("SELECT id, v FROM {COLL}")).await, + vec!["1|11".to_string()], + "node {}: the current state after the commit", + node.node_id + ); + let view = cut_view(node, COLL, "id, v").await; + assert_eq!( + view.into_iter().map(|(_, at)| at).collect::>(), + vec![ + vec!["1|10".to_string()], + vec!["1|10".to_string(), "2|20".to_string()], + vec!["1|11".to_string()], + ], + "node {}: each cut returns the state at its stamp", + node.node_id + ); + } + + cluster.shutdown().await; +} + +/// A TRUNCATE of a bitemporal columnar collection closes every current key +/// with a tombstone at one ordinal and keeps every version, autocommit and +/// inside a transaction alike. Every replica stores the same ordinals, and a +/// cut before each truncate returns the rows it closed. +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_truncate_closes_every_columnar_key_and_keeps_history() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE COLLECTION {TRUNC} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + )) + .await + .expect("CREATE COLLECTION"); + let writer = &cluster.nodes[2]; + let pause = || tokio::time::sleep(Duration::from_millis(5)); + for sql in [ + format!("INSERT INTO {TRUNC} (id, v) VALUES (1, 10)"), + format!("INSERT INTO {TRUNC} (id, v) VALUES (2, 20)"), + format!("TRUNCATE {TRUNC}"), + format!("INSERT INTO {TRUNC} (id, v) VALUES (3, 30)"), + ] { + writer + .exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + pause().await; + } + session_run( + writer, + &[ + "BEGIN".to_string(), + format!("TRUNCATE {TRUNC}"), + "COMMIT".to_string(), + ], + ) + .await; + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + + let first = stored_stamps(&cluster.nodes[0], TRUNC).await; + assert_eq!( + first.len(), + 6, + "three versions and three tombstones: {first:?}" + ); + for node in &cluster.nodes[1..] { + assert_eq!( + stored_stamps(node, TRUNC).await, + first, + "node {}: every version stamps the ordinal node {} stamps", + node.node_id, + cluster.nodes[0].node_id + ); + } + + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'eventual'") + .await + .unwrap_or_else(|e| panic!("node {}: eventual reads: {e}", node.node_id)); + assert_eq!( + rows(node, &format!("SELECT id, v FROM {TRUNC}")).await, + Vec::::new(), + "node {}: no current row after the truncates", + node.node_id + ); + let view = cut_view(node, TRUNC, "id, v").await; + assert_eq!( + view.into_iter().map(|(_, at)| at).collect::>(), + vec![ + vec!["1|10".to_string()], + vec!["1|10".to_string(), "2|20".to_string()], + Vec::new(), + vec!["3|30".to_string()], + Vec::new(), + ], + "node {}: a cut before each truncate returns the rows it closed", + node.node_id + ); + } + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/calvin_multi_shard_bitemporal_restart.rs b/nodedb-cluster-tests/tests/common_suite/cases/calvin_multi_shard_bitemporal_restart.rs index 3214c4a7a..f96013d19 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/calvin_multi_shard_bitemporal_restart.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/calvin_multi_shard_bitemporal_restart.rs @@ -77,6 +77,25 @@ async fn current_value( })) } +/// `value` for `id` in a bitemporal document collection `AS OF SYSTEM TIME +/// as_of_ms`, or `None` if not visible at that cut. +async fn value_as_of( + client: &tokio_postgres::Client, + coll: &str, + id: &str, + as_of_ms: &str, +) -> Result, tokio_postgres::Error> { + let msgs = client + .simple_query(&format!( + "SELECT id, value FROM {coll} AS OF SYSTEM TIME {as_of_ms}" + )) + .await?; + Ok(msgs.iter().find_map(|m| match m { + SimpleQueryMessage::Row(r) if r.get("id") == Some(id) => r.get("value").map(str::to_owned), + _ => None, + })) +} + /// Sorted `_ts_system` stamps of every audit-log version (`AS OF SYSTEM TIME /// NULL`) belonging to `id` in `coll`. Filters by id in Rust rather than in /// SQL — `AS OF SYSTEM TIME NULL` combined with `WHERE` is not exercised @@ -244,6 +263,28 @@ async fn calvin_multi_shard_bitemporal_commit_survives_wal_only_restart() { tokio::time::sleep(Duration::from_millis(25)).await; } + // One Calvin transaction stamps one system-time ordinal on every shard it + // writes, the ordinal its edges would take, so one cut splits it whole. + assert_eq!( + stamp_a, stamp_b, + "both shards' versions carry the transaction's one system time" + ); + // A read at the stamp sees both rows of the transaction. + for (coll, id, value) in [(&coll_a, "a1", "va"), (&coll_b, "b1", "vb")] { + let at_stamp = read_once_a_leader_exists( + "row as of the committed stamp", + Duration::from_secs(10), + Duration::from_millis(25), + || value_as_of(&node.client, coll, id, &stamp_a), + ) + .await; + assert_eq!( + at_stamp.as_deref(), + Some(value), + "{id} is visible AS OF its committed stamp" + ); + } + // WAL-only restart: shut down cleanly (flushing the WAL, releasing every // redb handle) and reopen against the SAME directory — no checkpoint, so // both rows must be reconstructed purely from the committed cross-shard @@ -312,5 +353,22 @@ async fn calvin_multi_shard_bitemporal_commit_survives_wal_only_restart() { tokio::time::sleep(Duration::from_millis(25)).await; } + // After the restart the same cut answers the same rows: replay installed + // the committed ordinal, not one from the replay-time clock. + for (coll, id, value) in [(&coll_a, "a1", "va"), (&coll_b, "b1", "vb")] { + let at_stamp = read_once_a_leader_exists( + "row as of the committed stamp after restart", + Duration::from_secs(10), + Duration::from_millis(25), + || value_as_of(&node.client, coll, id, &stamp_a), + ) + .await; + assert_eq!( + at_stamp.as_deref(), + Some(value), + "{id} is visible AS OF its committed stamp after a WAL-only restart" + ); + } + node.shutdown().await; } diff --git a/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_slice_zone.rs b/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_slice_zone.rs index 45223c396..8c0b290dc 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_slice_zone.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_slice_zone.rs @@ -59,7 +59,7 @@ fn expected_cells() -> BTreeSet<(i64, i64)> { .build() .expect("schema") .with_georef(Some(ArrayGeoref { - srid: Srid::Utm47N, + srid: Srid::new(32647).unwrap(), x_dim: 1, y_dim: 0, transform: Some(GeoTransform(GT)), @@ -69,7 +69,13 @@ fn expected_cells() -> BTreeSet<(i64, i64)> { exterior: RING.to_vec(), holes: Vec::new(), }]; - let frame = build_zone_frame(&schema, Srid::Wgs84, &polygons).expect("frame"); + let frame = build_zone_frame( + &schema, + Srid::WGS84, + &polygons, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("frame"); let zone = PolygonZone { x_dim: 1, y_dim: 0, diff --git a/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_ws_rpc.rs b/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_ws_rpc.rs index 3deabf598..83ea82aef 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_ws_rpc.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/cluster_array_ws_rpc.rs @@ -44,7 +44,9 @@ async fn ws_rpc_sql(node: &TestClusterNode, sql: &str) -> serde_json::Value { .to_identity(HARNESS_SUPERUSER, AuthMethod::Trust) .expect("the harness superuser exists on every node"); let query_ctx = QueryContext::for_state_with_lease(&node.shared); - execute_sql( + // Boxed: the statement future is deep enough to exceed the layout query + // depth of this test crate when held inline. + Box::pin(execute_sql( &node.shared, &query_ctx, &identity, @@ -52,7 +54,7 @@ async fn ws_rpc_sql(node: &TestClusterNode, sql: &str) -> serde_json::Value { sql, TraceId::generate(), "127.0.0.1:40000", - ) + )) .await .unwrap_or_else(|e| panic!("ws_rpc {sql} on node {}: {e:?}", node.node_id)) } diff --git a/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_columnar_stamps.rs b/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_columnar_stamps.rs new file mode 100644 index 000000000..c8e3eeb8c --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_columnar_stamps.rs @@ -0,0 +1,135 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A cluster RESTORE keeps the system time of every bitemporal columnar +//! version. +//! +//! One cluster writes two versions of one key into a bitemporal columnar +//! collection and records, for each version's `_ts_system`, the rows an +//! `AS OF` read at it returns. A fresh cluster restores the backup. Every +//! node then reads its own replica and answers each original stamp with the +//! same rows, before and after every node restarts. + +use std::collections::BTreeSet; +use std::time::Duration; + +use super::cluster_restore_documents_restart::{drain_backup, push_restore}; +use crate::common::cluster_harness::{TestCluster, TestClusterNode, read_once_a_leader_exists}; + +const COLL: &str = "crc_metrics"; + +/// Every row `sql` returns through `node`, its cells joined, sorted. +async fn rows(node: &TestClusterNode, sql: &str) -> Vec { + let messages = read_once_a_leader_exists( + sql, + Duration::from_secs(30), + Duration::from_millis(100), + || node.client.simple_query(sql), + ) + .await; + let mut out: Vec = messages + .iter() + .filter_map(|message| match message { + tokio_postgres::SimpleQueryMessage::Row(row) => Some( + (0..row.len()) + .map(|i| row.get(i).unwrap_or("NULL")) + .collect::>() + .join("|"), + ), + _ => None, + }) + .collect(); + out.sort(); + out +} + +/// Each `_ts_system` of the collection's versions on `node`, with the rows a +/// read `AS OF SYSTEM TIME` that stamp returns there. +async fn cut_view(node: &TestClusterNode) -> Vec<(String, Vec)> { + let stamps: BTreeSet = rows( + node, + &format!("SELECT _ts_system FROM {COLL} AS OF SYSTEM TIME NULL"), + ) + .await + .into_iter() + .collect(); + let mut view = Vec::with_capacity(stamps.len()); + for stamp in stamps { + let at = rows( + node, + &format!("SELECT id, v FROM {COLL} AS OF SYSTEM TIME {stamp}"), + ) + .await; + view.push((stamp, at)); + } + view +} + +/// Every node of `cluster` reads its own replica and answers each original +/// stamp as the source did. +async fn assert_stamps_kept(cluster: &TestCluster, before: &[(String, Vec)], stage: &str) { + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + for node in &cluster.nodes { + node.client + .simple_query("SET default_read_consistency = 'eventual'") + .await + .unwrap_or_else(|e| panic!("node {}: eventual reads: {e}", node.node_id)); + assert_eq!( + cut_view(node).await, + before, + "{stage}, node {}: each restored version keeps its system time", + node.node_id + ); + } +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 4)] +async fn a_restore_keeps_every_columnar_versions_system_time() { + let source = TestCluster::spawn_three().await.expect("source cluster"); + source + .exec_ddl_on_any_leader(&format!( + "CREATE COLLECTION {COLL} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + )) + .await + .expect("CREATE COLLECTION"); + for sql in [ + format!("INSERT INTO {COLL} (id, v) VALUES (1, 10)"), + format!("INSERT INTO {COLL} (id, v) VALUES (2, 5)"), + // A declared primary key refuses a second INSERT of a current key, + // bitemporal or not: the second version comes from an UPDATE. + format!("UPDATE {COLL} SET v = 20 WHERE id = 1"), + ] { + source.nodes[0] + .exec(&sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + // Distinct milliseconds, so each version has its own cut. + tokio::time::sleep(Duration::from_millis(5)).await; + } + source + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + let before = cut_view(&source.nodes[0]).await; + assert_eq!(before.len(), 3, "three versions, three system times"); + assert_eq!( + before.first().map(|(_, at)| at.clone()), + Some(vec!["1|10".to_string()]), + "the first cut reads the first version alone" + ); + let backup = drain_backup(&source.nodes[0].client).await; + source.shutdown().await; + + let target = TestCluster::spawn_three().await.expect("target cluster"); + push_restore(&target.nodes[1].client, backup).await; + assert_stamps_kept(&target, &before, "after the restore").await; + + let target = target + .restart_all() + .await + .unwrap_or_else(|e| panic!("restart every node: {e}")); + assert_stamps_kept(&target, &before, "after every node restarted").await; + + target.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_documents_restart.rs b/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_documents_restart.rs index 57bab4ecc..777946895 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_documents_restart.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_documents_restart.rs @@ -50,7 +50,7 @@ fn db_detail(e: &tokio_postgres::Error) -> String { } } -async fn drain_backup(client: &tokio_postgres::Client) -> Vec { +pub(super) async fn drain_backup(client: &tokio_postgres::Client) -> Vec { let stream = client .copy_out(&format!("COPY (BACKUP TENANT {TENANT}) TO STDOUT")) .await @@ -63,7 +63,7 @@ async fn drain_backup(client: &tokio_postgres::Client) -> Vec { bytes } -async fn push_restore(client: &tokio_postgres::Client, envelope: Vec) { +pub(super) async fn push_restore(client: &tokio_postgres::Client, envelope: Vec) { let sink = client .copy_in::<_, Bytes>(&format!("COPY tenant_restore({TENANT}) FROM STDIN")) .await @@ -179,6 +179,26 @@ async fn assert_restored_on(node: &TestClusterNode, stage: &str) { ); } +/// Each system time of the bitemporal row's versions on `node`, with the +/// values a read `AS OF SYSTEM TIME` that time returns there. +async fn cut_view(node: &TestClusterNode) -> Vec<(String, Vec)> { + let stamps = column( + node, + "SELECT _ts_system FROM crd_ledger AS OF SYSTEM TIME NULL", + ) + .await; + let mut view = Vec::with_capacity(stamps.len()); + for stamp in stamps { + let values = column( + node, + &format!("SELECT value FROM crd_ledger AS OF SYSTEM TIME {stamp}"), + ) + .await; + view.push((stamp, values)); + } + view +} + async fn assert_restored(cluster: &TestCluster, stage: &str) { cluster .wait_for_full_apply_convergence(Duration::from_secs(30)) @@ -186,6 +206,24 @@ async fn assert_restored(cluster: &TestCluster, stage: &str) { for node in &cluster.nodes { assert_restored_on(node, stage).await; } + // Every replica keys the restored versions at the ordinals the backup + // carried, so a read at each version's system time answers the same rows + // on every node. + let first = cut_view(&cluster.nodes[0]).await; + assert_eq!(first.len(), 2, "{stage}: both versions carry a system time"); + assert_eq!( + first.last().map(|(_, values)| values.clone()), + Some(vec!["final".to_string()]), + "{stage}: a read at the newest version's system time sees it" + ); + for node in &cluster.nodes[1..] { + assert_eq!( + cut_view(node).await, + first, + "{stage}, node {}: every replica answers each cut alike", + node.node_id + ); + } let duplicate = cluster.nodes[0] .exec("INSERT INTO crd_people (id, city, email) VALUES ('dave', 'oslo', 'a@x')") .await; diff --git a/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_labels_only_mark.rs b/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_labels_only_mark.rs new file mode 100644 index 000000000..ab6df070f --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/cluster_restore_labels_only_mark.rs @@ -0,0 +1,108 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A RESTORE whose only data is a node label raises the restore mark. +//! +//! Node labels belong to no collection: a node's labels home on +//! `VShardId::from_key(node)`. The backup here holds an empty collection and +//! one labeled node, so the restore re-issues exactly one batch: the label. +//! Every replica of the node's home group raises the tenant's restore mark +//! for that batch, so a later RESTORE's staleness guard sees the write. After +//! every node restarts, each replica still holds the mark and the label. + +use std::time::Duration; + +use nodedb::control::state::tenant_marks::MarkSite; +use nodedb_types::TenantId; + +use crate::common::cluster_harness::shared_steps::{drain_backup, group_of_key, push_restore}; +use crate::common::cluster_harness::{TestCluster, TestClusterNode, wait_for}; + +const TENANT: u64 = 1; +const NODE: &str = "rlm_carol"; +const LABEL: &str = "Admin"; + +/// Whether `node` holds a restore mark of `TENANT` in `group`. +fn holds_restore_mark(node: &TestClusterNode, group: u64) -> bool { + node.shared + .tenant_marks + .get_all(group, TENANT) + .iter() + .any(|mark| mark.site == MarkSite::Restore && mark.restore_id != 0) +} + +/// Whether `node`'s own cores hold `NODE` labeled `LABEL`. +async fn holds_label(node: &TestClusterNode) -> bool { + node.stored_tenant_snapshots(TenantId::new(TENANT)) + .await + .iter() + .any(|snap| { + snap.node_labels + .iter() + .any(|(_, _, labeled, labels)| labeled == NODE && labels.iter().any(|l| l == LABEL)) + }) +} + +async fn assert_restored(cluster: &TestCluster, group: u64, stage: &str) { + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + for node in &cluster.nodes { + assert!( + holds_restore_mark(node, group), + "{stage}, node {}: the label batch raised the restore mark in group {group}", + node.node_id + ); + assert!( + holds_label(node).await, + "{stage}, node {}: the restored label is stored", + node.node_id + ); + } +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_labels_only_restore_raises_the_restore_mark() { + let source = TestCluster::spawn_three().await.expect("source cluster"); + source + .exec_ddl_on_any_leader("CREATE COLLECTION rlm_people WITH (engine='document_schemaless')") + .await + .expect("CREATE COLLECTION"); + source.nodes[0] + .exec(&format!("GRAPH LABEL '{NODE}' AS '{LABEL}'")) + .await + .expect("GRAPH LABEL"); + source + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + let backup = drain_backup(&source.nodes[0].client, TENANT).await; + source.shutdown().await; + + let target = TestCluster::spawn_three().await.expect("target cluster"); + let group = group_of_key(&target.nodes[0], NODE); + for node in &target.nodes { + assert!( + !holds_restore_mark(node, group), + "node {}: a fresh cluster holds no restore mark", + node.node_id + ); + } + push_restore(&target.nodes[0].client, TENANT, backup).await; + wait_for( + "every replica raises the restore mark", + Duration::from_secs(30), + Duration::from_millis(100), + || { + target + .nodes + .iter() + .all(|node| holds_restore_mark(node, group)) + }, + ) + .await; + assert_restored(&target, group, "after the restore").await; + + let target = target.restart_all().await.expect("restart every node"); + assert_restored(&target, group, "after a restart").await; + + target.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/cluster_spatial_ref_sys.rs b/nodedb-cluster-tests/tests/common_suite/cases/cluster_spatial_ref_sys.rs new file mode 100644 index 000000000..fe844f02f --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/cluster_spatial_ref_sys.rs @@ -0,0 +1,103 @@ +// SPDX-License-Identifier: BUSL-1.1 +//! 3-node cluster test for `CREATE SPATIAL_REF_SYS` and `DROP +//! SPATIAL_REF_SYS`. +//! +//! The test matches `binary(/cluster/)` in nextest.toml, so it runs in the +//! serial `cluster` test group. A user-defined CRS defined through one node +//! replicates through the metadata group: every node resolves it, transforms +//! to it alike and lists it, and every node refuses it once it is dropped. + +use std::time::Duration; + +use nodedb_crs::{CrsContext, CustomCrsSet, Srid, parse_proj_string}; + +use crate::common; + +use common::cluster_harness::TestCluster; + +const CODE: u32 = 910_201; + +const TEST_TM: &str = + "+proj=tmerc +lat_0=0 +lon_0=101.25 +k=0.99991 +x_0=123456 +y_0=0 +ellps=GRS80 +units=m"; + +/// `(x, y)` of `(103.8, 1.45)` in [`TEST_TM`], computed in the test. +fn expected() -> (f64, f64) { + let srid = Srid::new(CODE).expect("srid"); + let mut set = CustomCrsSet::new(); + set.define(parse_proj_string(srid, "c", TEST_TM).expect("parses")) + .expect("defines"); + let t = CrsContext::new(&set) + .transformer(Srid::WGS84, srid) + .expect("defined"); + let [x, y, _] = t.apply([103.8, 1.45, 0.0]).expect("inside"); + (x, y) +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 4)] +async fn a_user_defined_crs_resolves_on_every_node() { + let cluster = TestCluster::spawn_three() + .await + .expect("3-node cluster spawn"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE SPATIAL_REF_SYS {CODE} (NAME 'cluster tm', PROJ '{TEST_TM}')" + )) + .await + .expect("CREATE SPATIAL_REF_SYS"); + cluster + .wait_for_full_apply_convergence(Duration::from_secs(10)) + .await; + + let (want_x, want_y) = expected(); + let sql = format!( + "SELECT ST_X(ST_Transform(ST_Point(103.8, 1.45), {CODE})) AS x, \ + ST_Y(ST_Transform(ST_Point(103.8, 1.45), {CODE})) AS y" + ); + for (idx, node) in cluster.nodes.iter().enumerate() { + let rows = node + .query_named_rows(&sql) + .await + .unwrap_or_else(|e| panic!("node {idx}: {sql}: {e}")); + assert_eq!(rows.len(), 1, "node {idx}: {rows:?}"); + let num = |c: &str| -> f64 { + rows[0][c] + .parse() + .unwrap_or_else(|e| panic!("node {idx}: {c} in {rows:?}: {e}")) + }; + assert!( + (num("x") - want_x).abs() < 1e-3 && (num("y") - want_y).abs() < 1e-3, + "node {idx}: got ({}, {}), want ({want_x}, {want_y})", + num("x"), + num("y") + ); + let listed = node + .query_named_rows(&format!( + "SELECT name FROM nodedb.spatial_ref_sys WHERE srid = {CODE}" + )) + .await + .unwrap_or_else(|e| panic!("node {idx}: view: {e}")); + assert_eq!(listed.len(), 1, "node {idx}: {listed:?}"); + assert_eq!(listed[0]["name"], "cluster tm", "node {idx}"); + } + + cluster + .exec_ddl_on_any_leader(&format!("DROP SPATIAL_REF_SYS {CODE}")) + .await + .expect("DROP SPATIAL_REF_SYS"); + cluster + .wait_for_full_apply_convergence(Duration::from_secs(10)) + .await; + for (idx, node) in cluster.nodes.iter().enumerate() { + let err = node + .exec(&format!( + "SELECT ST_Transform(ST_Point(103.8, 1.45), {CODE})" + )) + .await + .expect_err("a dropped code is refused"); + assert!( + err.contains(&format!("SRID {CODE} was dropped")), + "node {idx}: {err}" + ); + } + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/columnar_bitemporal_cut_cluster.rs b/nodedb-cluster-tests/tests/common_suite/cases/columnar_bitemporal_cut_cluster.rs new file mode 100644 index 000000000..17865b34d --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/columnar_bitemporal_cut_cluster.rs @@ -0,0 +1,140 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A bitemporal columnar `AS OF` reads one answer on every node. +//! +//! The data group's leader stamps each insert's `_ts_system` run as it admits +//! the entry, every replica installs that run, and its WAL record carries it. +//! A cut between two versions of a key reads the first on every node: after +//! replication catch-up, after the data group's leader stops (the new leader +//! serves the cut from the stamps it installed), and after the former leader +//! restarts and replays its WAL. + +use std::time::Duration; + +use nodedb_types::DatabaseId; + +use crate::common::cluster_harness::{TestCluster, TestClusterNode, read_once_a_leader_exists}; + +const COLL: &str = "btc_cut"; + +fn now_ms() -> i64 { + std::time::SystemTime::now() + .duration_since(std::time::UNIX_EPOCH) + .expect("clock after the epoch") + .as_millis() as i64 +} + +/// The `v` of every row `sql` returns through `node`, sorted. +async fn values(node: &TestClusterNode, sql: &str) -> Vec { + let messages = read_once_a_leader_exists( + sql, + Duration::from_secs(30), + Duration::from_millis(100), + || node.client.simple_query(sql), + ) + .await; + let mut out: Vec = messages + .iter() + .filter_map(|message| match message { + tokio_postgres::SimpleQueryMessage::Row(row) => row.get(0).map(str::to_owned), + _ => None, + }) + .collect(); + out.sort(); + out +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_columnar_as_of_reads_one_answer_on_every_node() { + let mut cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!( + "CREATE COLLECTION {COLL} (id BIGINT PRIMARY KEY, v BIGINT) \ + WITH (engine='columnar', bitemporal=true)" + )) + .await + .expect("CREATE COLLECTION"); + + cluster.nodes[0] + .exec(&format!("INSERT INTO {COLL} (id, v) VALUES (1, 10)")) + .await + .expect("insert v1"); + tokio::time::sleep(Duration::from_millis(50)).await; + let cut = now_ms(); + tokio::time::sleep(Duration::from_millis(50)).await; + cluster.nodes[0] + // A declared primary key refuses a second INSERT of a current key, + // bitemporal or not: the second version comes from an UPDATE. + .exec(&format!("UPDATE {COLL} SET v = 20 WHERE id = 1")) + .await + .expect("insert v2"); + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + + let as_of = format!("SELECT v FROM {COLL} AS OF SYSTEM TIME {cut}"); + for node in &cluster.nodes { + assert_eq!( + values(node, &as_of).await, + vec!["10".to_string()], + "node {}: the cut reads the first version", + node.node_id + ); + } + + // Stop the data group's leader: a surviving replica serves the cut from + // the ordinals it installed. + let vshard = nodedb_cluster::routing::vshard_for_collection( + nodedb_types::CollectionKey::from_bare(DatabaseId::DEFAULT, COLL), + ); + let leader = { + let routing = cluster.nodes[0] + .shared + .cluster_routing + .as_ref() + .expect("cluster routing") + .read() + .unwrap_or_else(|p| p.into_inner()); + let group = routing.group_for_vshard(vshard).expect("vShard group"); + routing + .group_info(group) + .map(|info| info.leader) + .unwrap_or(0) + }; + assert!(leader != 0, "the collection's group has a leader"); + let index = cluster + .nodes + .iter() + .position(|node| node.node_id == leader) + .expect("leader node present"); + let stopped = cluster.stop_member(index).await.expect("stop the leader"); + + for node in &cluster.nodes { + assert_eq!( + values(node, &as_of).await, + vec!["10".to_string()], + "node {} after the leader stopped: the cut reads the first version", + node.node_id + ); + } + + // The former leader restarts from its own WAL and checkpoints, and + // replays each record at the ordinals its live apply stamped. + cluster + .restart_member(stopped) + .await + .expect("restart the former leader"); + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + for node in &cluster.nodes { + assert_eq!( + values(node, &as_of).await, + vec!["10".to_string()], + "node {} after the restart: the cut reads the first version", + node.node_id + ); + } + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/graph_live_cut_calvin_stamps.rs b/nodedb-cluster-tests/tests/common_suite/cases/graph_live_cut_calvin_stamps.rs new file mode 100644 index 000000000..546c78896 --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/graph_live_cut_calvin_stamps.rs @@ -0,0 +1,158 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Every edge write takes a Calvin ordinal, so a live WCC run reads the same +//! graph on every node. +//! +//! A live distributed graph run reads at its Calvin cut marker's cut, which +//! covers only Calvin-stamped edge versions. An edge write stamped from a +//! node's own clock would sit above that cut on some replica and below it on +//! another. Edges are written here through every SQL path: autocommit put, +//! autocommit delete, and a session transaction's COMMIT. Right after the +//! last acknowledgement, each node runs a live WCC and must see every +//! acknowledged edge, grouped the same way. Each replica then stores every +//! edge version under the same system time: the replicas applied one +//! replicated ordinal, not three local clocks. + +use std::collections::{BTreeMap, BTreeSet}; +use std::time::Duration; + +use nodedb_types::TenantId; + +use crate::common::cluster_harness::{TestCluster, TestClusterNode, wait_for}; + +const COLL: &str = "glcut"; +const TENANT: u64 = 1; + +/// `node_id -> component_id` of a live WCC run through `node`. +async fn components(node: &TestClusterNode) -> BTreeMap { + let sql = format!("GRAPH ALGO WCC ON '{COLL}'"); + let messages = node + .client + .simple_query(&sql) + .await + .unwrap_or_else(|e| panic!("node {}: {sql}: {e}", node.node_id)); + messages + .iter() + .filter_map(|message| match message { + tokio_postgres::SimpleQueryMessage::Row(row) => Some(( + row.get("node_id").unwrap_or("").to_string(), + row.get("component_id").unwrap_or("").to_string(), + )), + _ => None, + }) + .collect() +} + +/// The components of `assignment` as sets of graph nodes, ignoring ids. +fn partition(assignment: &BTreeMap) -> BTreeSet> { + let mut by_component: BTreeMap<&str, BTreeSet> = BTreeMap::new(); + for (node, component) in assignment { + by_component + .entry(component.as_str()) + .or_default() + .insert(node.clone()); + } + by_component.into_values().collect() +} + +/// Every edge version key of `COLL` the cores of `node` store. +async fn stored_edge_keys(node: &TestClusterNode) -> BTreeSet { + let prefix = format!("{COLL}\x00"); + node.stored_tenant_snapshots(TenantId::new(TENANT)) + .await + .into_iter() + .flat_map(|snap| snap.edges.into_iter().map(|(key, _)| key)) + .filter(|key| key.starts_with(&prefix)) + .collect() +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_live_wcc_reads_every_edge_write_path_alike_on_every_node() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!("CREATE COLLECTION {COLL}")) + .await + .expect("CREATE COLLECTION"); + wait_for( + "every node sees the collection", + Duration::from_secs(10), + Duration::from_millis(50), + || { + cluster + .nodes + .iter() + .all(|n| n.cached_collection_count() >= 1) + }, + ) + .await; + + let writer = &cluster.nodes[1]; + // Autocommit puts, and a put the same session deletes again. + for (src, dst) in [("a0", "a1"), ("a1", "a2"), ("a2", "a3")] { + writer + .exec(&format!( + "GRAPH INSERT EDGE IN '{COLL}' FROM '{src}' TO '{dst}' TYPE 'K'" + )) + .await + .unwrap_or_else(|e| panic!("insert {src} -> {dst}: {e}")); + } + writer + .exec(&format!( + "GRAPH DELETE EDGE IN '{COLL}' FROM 'a2' TO 'a3' TYPE 'K'" + )) + .await + .expect("delete a2 -> a3"); + // A session transaction's COMMIT. + writer + .client + .simple_query(&format!( + "BEGIN; \ + GRAPH INSERT EDGE IN '{COLL}' FROM 'b0' TO 'b1' TYPE 'K'; \ + GRAPH INSERT EDGE IN '{COLL}' FROM 'b1' TO 'b2' TYPE 'K'; \ + COMMIT" + )) + .await + .expect("COMMIT the edge transaction"); + + // No wait: the run's cut marker is placed after every acknowledgement. + let first = components(&cluster.nodes[0]).await; + let chain_a: BTreeSet = ["a0", "a1", "a2"].iter().map(|s| s.to_string()).collect(); + let chain_b: BTreeSet = ["b0", "b1", "b2"].iter().map(|s| s.to_string()).collect(); + let groups = partition(&first); + assert!( + groups.contains(&chain_a), + "the autocommit chain is one component: {groups:?}" + ); + assert!( + groups.contains(&chain_b), + "the committed chain is one component: {groups:?}" + ); + for node in &cluster.nodes[1..] { + assert_eq!( + partition(&components(node).await), + groups, + "node {} reads the same graph", + node.node_id + ); + } + + cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + let stored = stored_edge_keys(&cluster.nodes[0]).await; + assert!( + stored.len() >= 5, + "every put leaves a version: {}", + stored.len() + ); + for node in &cluster.nodes[1..] { + assert_eq!( + stored_edge_keys(node).await, + stored, + "node {} stores every edge version under the same system time", + node.node_id + ); + } + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/mod.rs b/nodedb-cluster-tests/tests/common_suite/cases/mod.rs index d75f1fda7..9fe255655 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/mod.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/mod.rs @@ -11,6 +11,9 @@ mod array_vshard_migration; mod assign_surrogate_cross_node; mod backup_schedule_failover; mod bitemporal_array_cluster; +mod bitemporal_array_cluster_cut; +mod bitemporal_replica_stamps; +mod bitemporal_txn_columnar; mod calvin_backup_cut_order; mod calvin_backup_cut_snapshot_install; mod calvin_cdc_net_kinds; @@ -69,13 +72,17 @@ mod cluster_execute_request; mod cluster_partition_strategy_replication; mod cluster_pitr_restore_point; mod cluster_post_apply_follower_dispatch; +mod cluster_restore_columnar_stamps; mod cluster_restore_documents_restart; +mod cluster_restore_labels_only_mark; mod cluster_restore_refuses_on_non_replica; mod cluster_restore_retry; mod cluster_restore_surrogate_conflict; mod cluster_restore_surrogate_floor; +mod cluster_spatial_ref_sys; mod cluster_surrogate_replication; mod column_stats_cross_node; +mod columnar_bitemporal_cut_cluster; mod committed_publish_failover; mod committed_publish_metadata_lag; mod constraint_delivery; @@ -97,6 +104,7 @@ mod gateway_execute; mod gateway_hung_node_budget; mod gather_join_in_txn_occ; mod graph_index_edges_replicate_to_followers; +mod graph_live_cut_calvin_stamps; mod graph_match_ryow_cross_node; mod graph_wcc_core_error_cross_node; mod hilo_surrogate_uniqueness; @@ -183,6 +191,10 @@ mod trigger_shipped_block_atomic_cross_node; mod ts_native_ingest; mod vector_alter_params_cross_node; mod vector_index_dispatch_cross_node; +mod vshard_departure_crdt; +mod vshard_departure_fixture; +mod vshard_departure_purge; +mod vshard_departure_purge_restart; mod vshard_names; mod webhook_sink_partial_replication; mod webhook_sink_single_owner; diff --git a/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_crdt.rs b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_crdt.rs new file mode 100644 index 000000000..3055d4865 --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_crdt.rs @@ -0,0 +1,85 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! CRDT rows of the vShard departure purge tests. +//! +//! The fixture writes its CRDT row through the native protocol, into a +//! collection homed on a departed vShard. A movable-list insert +//! (`OpCode::CrdtListInsert`) needs its document to exist, so the fixture +//! first creates the document with a `crdt_apply` delta over the same native +//! connection, as the other cluster CRDT tests create theirs. The gateway +//! routes each op to the collection's vShard and proposes it through the data +//! group's Raft log. + +use std::collections::HashMap; + +use nodedb::types::TenantDataSnapshot; +use nodedb_client::NodeDb; +use nodedb_types::value::Value; + +use super::vshard_departure_fixture::first_column; +use crate::common::cluster_harness::TestClusterNode; + +/// The CRDT document the fixture writes. +pub const CRDT_DOC: &str = "r1x"; +const CRDT_LIST: &str = "items"; + +/// A Loro delta that creates document `CRDT_DOC` of `collection`: the +/// collection's root map holds the row as a map container with one field. +/// Hex-encoded, the form `crdt_apply` takes. +fn create_doc_delta_hex(collection: &str) -> String { + let doc = loro::LoroDoc::new(); + let row = doc + .get_map(collection) + .insert_container(CRDT_DOC, loro::LoroMap::new()) + .expect("row container"); + row.insert("name", "departed").expect("field"); + doc.commit(); + hex::encode( + doc.export(loro::ExportMode::Snapshot) + .expect("export loro snapshot"), + ) +} + +/// Write one CRDT row into `collection` through `node`'s native listener: +/// create the document, then insert a block into its movable list. +pub async fn write_crdt_row(node: &TestClusterNode, collection: &str) { + let client = node.native_client(); + let create = format!( + "SELECT crdt_apply('{collection}', '{CRDT_DOC}', '{}')", + create_doc_delta_hex(collection) + ); + client + .execute_sql(&create, &[]) + .await + .unwrap_or_else(|e| panic!("native crdt_apply into {collection}: {e}")); + let mut block = HashMap::new(); + block.insert("title".to_string(), Value::String("departed".to_string())); + client + .list_insert(collection, CRDT_DOC, CRDT_LIST, 0, &Value::Object(block)) + .await + .unwrap_or_else(|e| panic!("native CRDT list insert into {collection}: {e}")); +} + +/// Whether `snap` holds CRDT state of `collection`. +/// +/// Any exported document of the collection counts, empty rows included: a +/// Loro export carries the full op history, so a document whose rows were +/// deleted still holds every value the departed row ever had. +pub fn holds_crdt_state(snap: &TenantDataSnapshot, collection: &str) -> bool { + snap.crdt_state + .iter() + .any(|(_, _, key, _)| key.contains(collection)) +} + +/// Assert `node` serves the CRDT row of `collection`. +pub async fn assert_crdt_served(node: &TestClusterNode, collection: &str, stage: &str) { + let state = first_column( + node, + &format!("SELECT crdt_state('{collection}', '{CRDT_DOC}')"), + ) + .await; + assert!( + state.len() == 1 && !state[0].is_empty(), + "{stage}: the CRDT row of {collection} serves: {state:?}" + ); +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_fixture.rs b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_fixture.rs new file mode 100644 index 000000000..594436675 --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_fixture.rs @@ -0,0 +1,470 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Shared setup of the vShard departure purge tests. +//! +//! A 3-node cluster at RF 3 gains a fourth node. Placement then picks three +//! of the four nodes for each data group by rendezvous hashing, so each +//! group drops one node. The fixture computes that placement up front, picks +//! a group one of the founding nodes leaves, and writes rows of every engine +//! homed on that group's vShards: schemaless documents with a search index, +//! strict documents, KV, columnar, timeseries, vector, spatial, graph edges, +//! a node label, array cells, and a CRDT row written over the native +//! protocol. +//! +//! Each probe reads one node's own cores (`stored_tenant_snapshots`), never +//! a pgwire query: the gateway forwards reads to the vShard owners. + +use std::collections::BTreeSet; +use std::time::Duration; + +use nodedb::types::{DatabaseId, TenantDataSnapshot, TenantId, VShardId}; + +use super::vshard_departure_crdt::{assert_crdt_served, holds_crdt_state, write_crdt_row}; +use crate::common::cluster_harness::{ + TestCluster, TestClusterNode, read_once_a_leader_exists, wait_for, +}; + +pub const TENANT: u64 = 1; +const ARRAY_CELLS: u64 = 256; +const MAX_TRIES: u32 = 4096; + +/// The names every engine's rows go under. Each ends in `x`, so no name is a +/// substring of another. +pub struct Names { + pub doc: String, + pub strict: String, + pub kv: String, + pub columnar: String, + pub timeseries: String, + pub vector: String, + pub spatial: String, + pub graph: String, + pub array: String, + /// The collection the native CRDT row goes under. + pub crdt: String, + /// Edge endpoints and the labeled node, all homed on departed vShards. + pub src: String, + pub dst: String, + /// An endpoint homed on a vShard the leaving node keeps. + pub kept_dst: String, +} + +impl Names { + /// The collections whose rows a stored snapshot keys by name. + pub fn collections(&self) -> [&str; 7] { + [ + &self.doc, + &self.strict, + &self.kv, + &self.columnar, + &self.timeseries, + &self.vector, + &self.spatial, + ] + } +} + +pub struct DepartureFixture { + pub cluster: TestCluster, + /// The founding node placement drops from `group`. + pub leaving: u64, + pub group: u64, + pub departed: BTreeSet, + pub names: Names, +} + +fn data_groups(routing: &nodedb_cluster::RoutingTable) -> Vec { + let mut groups: Vec = routing + .group_ids() + .into_iter() + .filter(|g| { + *g != nodedb_cluster::METADATA_GROUP_ID + && *g != nodedb_cluster::calvin::SEQUENCER_GROUP_ID + }) + .collect(); + groups.sort_unstable(); + groups +} + +fn collection_on(prefix: &str, vshards: &BTreeSet, wanted: bool) -> String { + (0..MAX_TRIES) + .map(|i| format!("{prefix}{i}x")) + .find(|name| { + let vshard = nodedb_types::CollectionKey::from_bare(DatabaseId::DEFAULT, name) + .vshard() + .as_u32(); + vshards.contains(&vshard) == wanted + }) + .unwrap_or_else(|| panic!("no collection name under {prefix} in {MAX_TRIES} tries")) +} + +fn key_on(prefix: &str, vshards: &BTreeSet, wanted: bool) -> String { + (0..MAX_TRIES) + .map(|i| format!("{prefix}{i}x")) + .find(|key| vshards.contains(&VShardId::from_key(key.as_bytes()).as_u32()) == wanted) + .unwrap_or_else(|| panic!("no node key under {prefix} in {MAX_TRIES} tries")) +} + +impl DepartureFixture { + /// Spawn the cluster, pick the leaving node and group, and write every + /// engine's rows on the group's vShards. + pub async fn seed() -> Self { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + let (group, leaving, departed, kept_out) = { + let routing = cluster.nodes[0] + .shared + .cluster_routing + .as_ref() + .expect("cluster routing") + .read() + .unwrap_or_else(|p| p.into_inner()); + let groups = data_groups(&routing); + let placement = + nodedb_cluster::rebalancer::placement::compute_placement(&[1, 2, 3, 4], &groups, 3); + let (group, leaving) = placement + .iter() + .find_map(|(group, placed)| { + (1..=3u64) + .find(|node| !placed.contains(node)) + .map(|node| (*group, node)) + }) + .expect("placement drops a founding node from some data group"); + let departed: BTreeSet = routing.vshards_for_group(group).into_iter().collect(); + // Every vShard of every group the leaving node leaves: a kept + // endpoint homes outside all of them. + let kept_out: BTreeSet = placement + .iter() + .filter(|(_, placed)| !placed.contains(&leaving)) + .flat_map(|(group, _)| routing.vshards_for_group(*group)) + .collect(); + (group, leaving, departed, kept_out) + }; + let names = Names { + doc: collection_on("vdpdoc", &departed, true), + strict: collection_on("vdpstrict", &departed, true), + kv: collection_on("vdpkv", &departed, true), + columnar: collection_on("vdpcol", &departed, true), + timeseries: collection_on("vdpts", &departed, true), + vector: collection_on("vdpvec", &departed, true), + spatial: collection_on("vdpgeo", &departed, true), + graph: collection_on("vdpgraph", &departed, true), + array: "vdparrx".to_string(), + crdt: collection_on("vdpcrdt", &departed, true), + src: key_on("vdpsrc", &departed, true), + dst: key_on("vdpdst", &departed, true), + kept_dst: key_on("vdpkept", &kept_out, false), + }; + let fixture = Self { + cluster, + leaving, + group, + departed, + names, + }; + fixture.write_rows().await; + fixture + .cluster + .wait_for_full_apply_convergence(Duration::from_secs(30)) + .await; + fixture + } + + async fn write_rows(&self) { + let n = &self.names; + let ddl = [ + format!( + "CREATE COLLECTION {} (id STRING PRIMARY KEY, body STRING) \ + WITH (engine='document_schemaless')", + n.doc + ), + format!( + "CREATE SEARCH INDEX idx_{0}_fts ON {0} FIELDS body ANALYZER 'standard'", + n.doc + ), + format!( + "CREATE COLLECTION {} (id STRING PRIMARY KEY, n INT) WITH (engine='document_strict')", + n.strict + ), + format!( + "CREATE COLLECTION {} (key STRING PRIMARY KEY, value STRING) WITH (engine='kv')", + n.kv + ), + format!( + "CREATE COLLECTION {} COLUMNS (id TEXT, region TEXT, ts BIGINT) \ + WITH (engine='columnar')", + n.columnar + ), + format!( + "CREATE COLLECTION {} COLUMNS (id TEXT, ts BIGINT TIME_KEY, metric TEXT, \ + value FLOAT) WITH (engine='timeseries')", + n.timeseries + ), + format!("CREATE COLLECTION {} TYPE document", n.vector), + format!( + "CREATE VECTOR INDEX idx_{0} ON {0} (embedding) METRIC cosine DIM 3", + n.vector + ), + format!( + "CREATE COLLECTION {} COLUMNS (id TEXT, location GEOMETRY, name TEXT) \ + WITH (engine='spatial')", + n.spatial + ), + format!("CREATE COLLECTION {}", n.graph), + format!("CREATE COLLECTION {}", n.crdt), + format!( + "CREATE ARRAY {} DIMS (x INT64 [0..63], y INT64 [0..63]) ATTRS (v INT64) \ + TILE_EXTENTS (4, 4)", + n.array + ), + ]; + for sql in &ddl { + self.cluster + .exec_ddl_on_any_leader(sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + } + let mut writes = vec![ + format!( + "INSERT INTO {} (id, body) VALUES ('d1', 'alpha beta')", + n.doc + ), + format!("INSERT INTO {} (id, n) VALUES ('s1', 7)", n.strict), + format!("INSERT INTO {} (key, value) VALUES ('k1', 'v1')", n.kv), + format!( + "INSERT INTO {} (id, region, ts) VALUES ('c1', 'eu', 1)", + n.columnar + ), + format!( + "INSERT INTO {} (id, ts, metric, value) VALUES ('t1', 1000, 'cpu', 1.0)", + n.timeseries + ), + format!( + "INSERT INTO {} (id, body, embedding) VALUES ('v1', 'x', ARRAY[0.1,0.2,0.3])", + n.vector + ), + format!( + "INSERT INTO {} (id, location, name) VALUES \ + ('p1', '{{\"type\":\"Point\",\"coordinates\":[-122.4,37.8]}}', 'SF')", + n.spatial + ), + format!( + "GRAPH INSERT EDGE IN '{}' FROM '{}' TO '{}' TYPE 'L'", + n.graph, n.src, n.dst + ), + format!( + "GRAPH INSERT EDGE IN '{}' FROM '{}' TO '{}' TYPE 'L'", + n.graph, n.src, n.kept_dst + ), + format!("GRAPH LABEL '{}' AS 'Departed'", n.src), + ]; + // One cell per 4x4 tile, so the cells spread over many vShards. + for row in 0..16u64 { + let cells: Vec = (0..16u64) + .map(|col| { + format!( + "COORDS ({}, {}) VALUES ({})", + row * 4, + col * 4, + row * 16 + col + ) + }) + .collect(); + writes.push(format!( + "INSERT INTO ARRAY {} {}", + n.array, + cells.join(", ") + )); + } + for sql in &writes { + self.cluster.nodes[0] + .exec(sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + } + write_crdt_row(&self.cluster.nodes[0], &n.crdt).await; + } + + /// The node placement drops from the group. + pub fn leaving_node(&self) -> &TestClusterNode { + self.cluster + .nodes + .iter() + .find(|node| node.node_id == self.leaving) + .expect("leaving node present") + } + + /// Add the fourth node and wait until every node's routing view drops + /// the leaving node from the group's voters. + pub async fn depart(&mut self) { + self.cluster + .add_learner_node() + .await + .expect("add the fourth node"); + let (group, leaving) = (self.group, self.leaving); + wait_for( + "every node sees the leaving node out of the group", + Duration::from_secs(90), + Duration::from_millis(200), + || { + self.cluster.nodes.iter().all(|node| { + let routing = node + .shared + .cluster_routing + .as_ref() + .expect("cluster routing") + .read() + .unwrap_or_else(|p| p.into_inner()); + routing.group_info(group).is_some_and(|info| { + !info.members.contains(&leaving) + && !info.learners.contains(&leaving) + && info.members.contains(&4) + }) + }) + }, + ) + .await; + } + + /// What `node`'s own cores hold of the departed vShards' data, one line + /// per kind. Empty once a purge finished there. + pub async fn stale_on(&self, node: &TestClusterNode) -> Vec { + let snapshots = node.stored_tenant_snapshots(TenantId::new(TENANT)).await; + stale_in(&snapshots, &self.names, &self.departed) + } + + /// Whether `node` still holds the edge with an endpoint on a vShard it + /// keeps. + pub async fn holds_kept_edge(&self, node: &TestClusterNode) -> bool { + let prefix = format!( + "{}\x00{}\x00L\x00{}\x00", + self.names.graph, self.names.src, self.names.kept_dst + ); + node.stored_tenant_snapshots(TenantId::new(TENANT)) + .await + .iter() + .any(|snap| snap.edges.iter().any(|(key, _)| key.starts_with(&prefix))) + } + + /// Every engine's rows read back through `node`, served by the vShards' + /// owners. + pub async fn assert_served(&self, node: &TestClusterNode, stage: &str) { + let n = &self.names; + for collection in n.collections() { + let rows = first_column(node, &format!("SELECT COUNT(*) FROM {collection}")).await; + assert_eq!( + rows, + vec!["1".to_string()], + "{stage}: {collection} serves its row" + ); + } + let edges = first_column( + node, + &format!("MATCH (a)-[:L]->(b) IN '{}' RETURN b", n.graph), + ) + .await; + let mut want = vec![n.dst.clone(), n.kept_dst.clone()]; + want.sort(); + assert_eq!(edges, want, "{stage}: both edges serve"); + let labeled = first_column( + node, + &format!("MATCH (a:Departed)-[:L]->(b) IN '{}' RETURN a", n.graph), + ) + .await; + assert!( + labeled.contains(&n.src), + "{stage}: the label serves: {labeled:?}" + ); + let cells = first_column( + node, + &format!( + "SELECT v FROM ARRAY_SLICE('{}', '{{x: [0, 63], y: [0, 63]}}', ['v'], 1000)", + n.array + ), + ) + .await; + assert_eq!( + cells.len() as u64, + ARRAY_CELLS, + "{stage}: every array cell serves" + ); + assert_crdt_served(node, &n.crdt, stage).await; + } +} + +/// The departed data `snapshots` hold, one line per kind. +fn stale_in( + snapshots: &[TenantDataSnapshot], + names: &Names, + departed: &BTreeSet, +) -> Vec { + let mut stale = Vec::new(); + for snap in snapshots { + for collection in names.collections() { + let keyed = snap + .documents + .iter() + .chain(&snap.kv_tables) + .chain(&snap.columnar_engines) + .chain(&snap.timeseries) + .chain(&snap.vectors) + .any(|(key, _)| key.contains(collection)) + || snap + .flushed_ts_segments + .iter() + .any(|blob| blob.collection_key.contains(collection)); + if keyed { + stale.push(format!("rows of {collection}")); + } + } + let departed_edge = format!("{}\x00{}\x00L\x00{}\x00", names.graph, names.src, names.dst); + if snap + .edges + .iter() + .any(|(key, _)| key.starts_with(&departed_edge)) + { + stale.push("the edge both of whose endpoints left".into()); + } + if snap + .node_labels + .iter() + .any(|(_, _, node, _)| node == &names.src) + || snap + .node_label_versions + .iter() + .any(|(_, _, node, _, _)| node == &names.src) + { + stale.push("the label of a node that left".into()); + } + if snap + .arrays + .iter() + .any(|blob| departed.contains(&blob.vshard)) + { + stale.push("array cells of a departed vShard".into()); + } + if holds_crdt_state(snap, &names.crdt) { + stale.push("the CRDT row of a departed vShard".into()); + } + } + stale +} + +/// The first column of every row `sql` returns through `node`, sorted. +pub async fn first_column(node: &TestClusterNode, sql: &str) -> Vec { + let messages = read_once_a_leader_exists( + sql, + Duration::from_secs(30), + Duration::from_millis(100), + || node.client.simple_query(sql), + ) + .await; + let mut values: Vec = messages + .iter() + .filter_map(|message| match message { + tokio_postgres::SimpleQueryMessage::Row(row) => row.get(0).map(str::to_owned), + _ => None, + }) + .collect(); + values.sort(); + values +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_purge.rs b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_purge.rs new file mode 100644 index 000000000..a09bcc9a7 --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_purge.rs @@ -0,0 +1,77 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A node that leaves a vShard's data group purges its copy of the vShard's +//! data once the new owners serve it. +//! +//! Before the move the leaving node's own cores hold every engine's rows of +//! the departed vShards. After placement drops it from the group, every +//! engine's rows, CRDT included, still read back through the cluster, and +//! the leaving node's cores hold none of them. An edge with one endpoint on a vShard the node +//! keeps stays there. + +use std::time::Duration; + +use super::vshard_departure_fixture::DepartureFixture; +use crate::common::cluster_harness::wait_for_async; + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn a_departed_vshard_is_purged_from_its_old_owner() { + let mut fx = DepartureFixture::seed().await; + + let before = fx.stale_on(fx.leaving_node()).await; + for kind in [ + "the edge both of whose endpoints left", + "the label of a node that left", + "array cells of a departed vShard", + "the CRDT row of a departed vShard", + ] { + assert!( + before.iter().any(|line| line == kind), + "the leaving node holds {kind} before the move: {before:?}" + ); + } + for collection in fx.names.collections() { + let line = format!("rows of {collection}"); + assert!( + before.contains(&line), + "the leaving node holds the rows of {collection} before the move: {before:?}" + ); + } + + fx.depart().await; + + let probe = &fx; + wait_for_async( + "the leaving node purges every departed row", + Duration::from_secs(60), + Duration::from_millis(250), + || async move { probe.stale_on(probe.leaving_node()).await.is_empty() }, + ) + .await; + assert!( + fx.holds_kept_edge(fx.leaving_node()).await, + "an edge with an endpoint on a vShard the node keeps stays" + ); + + let rows = fx + .leaving_node() + .shared + .credentials + .catalog() + .load_vshard_residency() + .expect("residency rows"); + for vshard in &fx.departed { + assert!( + rows.iter() + .all(|(v, row)| v != vshard || (row.departed && row.purged)), + "vShard {vshard} is departed and purged, or settled: {rows:?}" + ); + } + + for node in &fx.cluster.nodes { + fx.assert_served(node, &format!("through node {}", node.node_id)) + .await; + } + + fx.cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_purge_restart.rs b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_purge_restart.rs new file mode 100644 index 000000000..1e4c3ce5a --- /dev/null +++ b/nodedb-cluster-tests/tests/common_suite/cases/vshard_departure_purge_restart.rs @@ -0,0 +1,101 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A departure purge that a restart interrupts runs again at the next boot. +//! +//! The fail point `vshard_departure::purge` fails every purge on the leaving +//! node. The node records the departure, writes its barrier, and keeps the +//! stale rows. It then stops with the purge owed, and the fail point clears. +//! At the next boot the owed purge runs, and the node's cores hold none of +//! the departed rows, while every engine's rows still read back through the +//! cluster. +//! +//! Requires `--features failpoints`. + +#![cfg(feature = "failpoints")] + +use std::time::Duration; + +use nodedb_test_support::fail_point::{FailAction, FailGuard}; + +use super::vshard_departure_fixture::DepartureFixture; +use crate::common::cluster_harness::{wait_for, wait_for_async}; + +const PURGE_FAULT: &str = "vshard_departure::purge"; + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn an_interrupted_departure_purge_completes_after_a_restart() { + let mut fx = DepartureFixture::seed().await; + let fault = FailGuard::for_node( + fx.leaving, + PURGE_FAULT, + FailAction::Fail("injected departure purge fault".into()), + ); + + fx.depart().await; + + // The departure is recorded and owed; the purge itself never ran. + let owed = |fx: &DepartureFixture| { + let rows = fx + .leaving_node() + .shared + .credentials + .catalog() + .load_vshard_residency() + .expect("residency rows"); + fx.departed.iter().all(|vshard| { + rows.iter() + .any(|(v, row)| v == vshard && row.departed && !row.purged && row.barrier_lsn > 0) + }) + }; + wait_for( + "the leaving node records the departure and its barrier", + Duration::from_secs(60), + Duration::from_millis(250), + || owed(&fx), + ) + .await; + let stale = fx.stale_on(fx.leaving_node()).await; + assert!( + !stale.is_empty(), + "an interrupted purge leaves the stale rows in place" + ); + + let index = fx + .cluster + .nodes + .iter() + .position(|node| node.node_id == fx.leaving) + .expect("leaving node index"); + let stopped = fx + .cluster + .stop_member(index) + .await + .expect("stop the leaving node"); + drop(fault); + fx.cluster + .restart_member(stopped) + .await + .expect("restart the leaving node"); + + let probe = &fx; + wait_for_async( + "the restarted node runs the owed purge", + Duration::from_secs(60), + Duration::from_millis(250), + || async move { probe.stale_on(probe.leaving_node()).await.is_empty() }, + ) + .await; + assert!( + fx.holds_kept_edge(fx.leaving_node()).await, + "an edge with an endpoint on a vShard the node keeps stays" + ); + for node in &fx.cluster.nodes { + fx.assert_served( + node, + &format!("after the restart, through node {}", node.node_id), + ) + .await; + } + + fx.cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_partial_replication.rs b/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_partial_replication.rs index 56209bb4e..0ac97a174 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_partial_replication.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_partial_replication.rs @@ -93,7 +93,12 @@ async fn insert(cluster: &TestCluster, collection: &str, row: usize) { #[tokio::test(flavor = "multi_thread", worker_threads = 4)] async fn a_webhook_reads_events_from_the_node_that_holds_them() { let listener = TcpListener::bind("127.0.0.1:0").await.expect("bind"); - let url = format!("http://{}/hook", listener.local_addr().expect("addr")); + // The egress policy refuses an IP-literal host, so the URL names the + // loopback listener by DNS name. + let url = format!( + "http://localhost:{}/hook", + listener.local_addr().expect("addr").port() + ); let deliveries: Deliveries = Arc::default(); let tokens: FencingTokens = Arc::default(); let server = tokio::spawn(serve( diff --git a/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_single_owner.rs b/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_single_owner.rs index 61832b72a..25a51ec62 100644 --- a/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_single_owner.rs +++ b/nodedb-cluster-tests/tests/common_suite/cases/webhook_sink_single_owner.rs @@ -139,7 +139,12 @@ async fn insert(cluster: &TestCluster, node: usize, row: usize) { #[tokio::test(flavor = "multi_thread", worker_threads = 4)] async fn a_webhook_delivers_every_event_once_across_a_failover() { let listener = TcpListener::bind("127.0.0.1:0").await.expect("bind"); - let url = format!("http://{}/hook", listener.local_addr().expect("addr")); + // The egress policy refuses an IP-literal host, so the URL names the + // loopback listener by DNS name. + let url = format!( + "http://localhost:{}/hook", + listener.local_addr().expect("addr").port() + ); let deliveries: Deliveries = Arc::default(); let tokens: FencingTokens = Arc::default(); let server = tokio::spawn(serve( diff --git a/nodedb-cluster-tests/tests/dml_suite/cases/sql_cluster_cross_node_dml.rs b/nodedb-cluster-tests/tests/dml_suite/cases/sql_cluster_cross_node_dml.rs index e6cad4bb9..6bedbcd9e 100644 --- a/nodedb-cluster-tests/tests/dml_suite/cases/sql_cluster_cross_node_dml.rs +++ b/nodedb-cluster-tests/tests/dml_suite/cases/sql_cluster_cross_node_dml.rs @@ -19,6 +19,8 @@ mod cluster_boot; mod ddl_objects; #[path = "../../sql_cluster_cross_node_dml_tests/gather_cross_node.rs"] mod gather_cross_node; +#[path = "../../sql_cluster_cross_node_dml_tests/graph_algo_pagerank_as_of_cross_node.rs"] +mod graph_algo_pagerank_as_of_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_algo_pagerank_cross_node.rs"] mod graph_algo_pagerank_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_algo_pagerank_dangling_cross_node.rs"] @@ -39,6 +41,8 @@ mod graph_homed_read_per_core; mod graph_implicit_reverse_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_match_cross_node.rs"] mod graph_match_cross_node; +#[path = "../../sql_cluster_cross_node_dml_tests/graph_match_label_as_of_cross_node.rs"] +mod graph_match_label_as_of_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_match_read_set_cross_node.rs"] mod graph_match_read_set_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_match_ryow_cross_node.rs"] @@ -59,6 +63,8 @@ mod graph_owner_reads_cross_node; mod graph_rag_fusion_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_rag_fusion_naming_cross_node.rs"] mod graph_rag_fusion_naming_cross_node; +#[path = "../../sql_cluster_cross_node_dml_tests/graph_traverse_as_of_cross_node.rs"] +mod graph_traverse_as_of_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_traverse_cross_node.rs"] mod graph_traverse_cross_node; #[path = "../../sql_cluster_cross_node_dml_tests/graph_traverse_reverse_cross_node.rs"] diff --git a/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_algo_pagerank_as_of_cross_node.rs b/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_algo_pagerank_as_of_cross_node.rs new file mode 100644 index 000000000..d9f8266a2 --- /dev/null +++ b/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_algo_pagerank_as_of_cross_node.rs @@ -0,0 +1,137 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Historical distributed PageRank: `GRAPH ALGO PAGERANK ... AS OF SYSTEM TIME` +//! runs the BSP supersteps across every shard at one pinned cut. +//! +//! A ring spread across all three nodes is written, a timestamp taken, then +//! one ring edge is deleted and an edge to a new node added. A run at the +//! timestamp answers the ring from every coordinator: exactly the ring's +//! nodes, uniform ranks summing to 1.0. A current run answers the changed +//! graph. + +use std::collections::HashSet; +use std::time::{Duration, SystemTime, UNIX_EPOCH}; + +use crate::common::cluster_harness::{TestCluster, wait_for}; + +const N: usize = 24; + +async fn pagerank_rows(client: &tokio_postgres::Client, sql: &str) -> Vec<(String, f64)> { + let msgs = client + .simple_query(sql) + .await + .expect("simple_query PAGERANK"); + let mut out = Vec::new(); + for m in &msgs { + if let tokio_postgres::SimpleQueryMessage::Row(r) = m { + let node = r.get("node_id").unwrap_or("").to_string(); + let rank: f64 = r.get("rank").unwrap_or("0").parse().unwrap_or(0.0); + out.push((node, rank)); + } + } + out +} + +/// Wait until `sql` run from every node names exactly `expected`. +async fn wait_every_node_sees(cluster: &TestCluster, sql: &str, expected: &HashSet) { + for idx in 0..cluster.nodes.len() { + wait_for( + &format!("node {idx} sees {} pagerank nodes", expected.len()), + Duration::from_secs(30), + Duration::from_millis(200), + || { + tokio::task::block_in_place(|| { + tokio::runtime::Handle::current().block_on(async { + let rows = pagerank_rows(&cluster.nodes[idx].client, sql).await; + let names: HashSet = rows.into_iter().map(|(n, _)| n).collect(); + &names == expected + }) + }) + }, + ) + .await; + } +} + +fn now_ms() -> i64 { + SystemTime::now() + .duration_since(UNIX_EPOCH) + .expect("clock after the epoch") + .as_millis() as i64 +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn historical_pagerank_runs_bsp_at_one_cut_cross_node() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader("CREATE COLLECTION gpr_asof") + .await + .expect("CREATE COLLECTION gpr_asof"); + wait_for( + "all 3 nodes see gpr_asof", + Duration::from_secs(10), + Duration::from_millis(50), + || { + cluster + .nodes + .iter() + .all(|n| n.cached_collection_count() >= 1) + }, + ) + .await; + + let client = &cluster.nodes[0].client; + for i in 0..N { + let src = format!("n_{i}"); + let dst = format!("n_{}", (i + 1) % N); + client + .simple_query(&format!( + "GRAPH INSERT EDGE IN 'gpr_asof' FROM '{src}' TO '{dst}' TYPE 'K'" + )) + .await + .unwrap_or_else(|e| panic!("insert {src} -> {dst}: {e}")); + } + let ring: HashSet = (0..N).map(|i| format!("n_{i}")).collect(); + wait_every_node_sees(&cluster, "GRAPH ALGO PAGERANK ON 'gpr_asof'", &ring).await; + + tokio::time::sleep(Duration::from_millis(100)).await; + let cut = now_ms(); + tokio::time::sleep(Duration::from_millis(100)).await; + + client + .simple_query("GRAPH DELETE EDGE IN 'gpr_asof' FROM 'n_0' TO 'n_1' TYPE 'K'") + .await + .expect("delete ring edge"); + client + .simple_query("GRAPH INSERT EDGE IN 'gpr_asof' FROM 'n_0' TO 'extra' TYPE 'K'") + .await + .expect("insert edge to a new node"); + let mut changed = ring.clone(); + changed.insert("extra".to_string()); + wait_every_node_sees(&cluster, "GRAPH ALGO PAGERANK ON 'gpr_asof'", &changed).await; + + let historical = format!("GRAPH ALGO PAGERANK ON 'gpr_asof' AS OF SYSTEM TIME {cut}"); + for idx in 0..cluster.nodes.len() { + let rows = pagerank_rows(&cluster.nodes[idx].client, &historical).await; + let names: HashSet = rows.iter().map(|(n, _)| n.clone()).collect(); + assert_eq!( + names, ring, + "node {idx}: a run at the cut covers exactly the ring; got {rows:?}" + ); + assert_eq!(rows.len(), N, "node {idx}: one row per node; got {rows:?}"); + let sum: f64 = rows.iter().map(|(_, r)| *r).sum(); + assert!( + (sum - 1.0).abs() < 1e-3, + "node {idx}: historical ranks sum to ~1.0; got {sum}" + ); + let uniform = 1.0 / N as f64; + for (node, rank) in &rows { + assert!( + (rank - uniform).abs() < 1e-3, + "node {idx}: the ring is uniform at the cut; {node} has {rank}" + ); + } + } + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_match_label_as_of_cross_node.rs b/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_match_label_as_of_cross_node.rs new file mode 100644 index 000000000..9db0d8ac0 --- /dev/null +++ b/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_match_label_as_of_cross_node.rs @@ -0,0 +1,153 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Historical label-filtered `MATCH ... AS OF SYSTEM TIME` across nodes. +//! +//! A label write runs as a Calvin transaction. Its redo record carries the +//! transaction's ordinal, so every replica writes the node's label version at +//! that one ordinal. A historical read pins one cut, and every owner waits +//! until it installed every version at or below it. So a label-filtered MATCH +//! at the cut answers the labels at the cut, the same from every node, after +//! later label changes too. + +use std::collections::HashSet; +use std::time::{Duration, SystemTime, UNIX_EPOCH}; + +use crate::common::cluster_harness::{TestCluster, wait_for}; + +const COLL: &str = "glabel_asof"; +const SOURCES: usize = 8; + +type Pairs = HashSet<(String, String)>; + +/// The `(a, b)` rows of a label-filtered `MATCH (a:L)-[:K]->(b)`. +async fn pairs(client: &tokio_postgres::Client, sql: &str) -> Vec<(String, String)> { + let msgs = client + .simple_query(sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + msgs.iter() + .filter_map(|m| match m { + tokio_postgres::SimpleQueryMessage::Row(r) => Some(( + r.get("a").unwrap_or("").to_string(), + r.get("b").unwrap_or("").to_string(), + )), + _ => None, + }) + .collect() +} + +fn match_sql(label: &str, as_of: Option) -> String { + let cut = as_of.map_or(String::new(), |ms| format!(" AS OF SYSTEM TIME {ms}")); + format!("MATCH (a:{label})-[:K]->(b) IN '{COLL}'{cut} RETURN a, b") +} + +async fn exec(client: &tokio_postgres::Client, sql: &str) { + client + .simple_query(sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); +} + +fn now_ms() -> i64 { + SystemTime::now() + .duration_since(UNIX_EPOCH) + .expect("clock after the epoch") + .as_millis() as i64 +} + +fn source_pairs(sources: impl IntoIterator) -> Pairs { + sources + .into_iter() + .map(|i| (format!("src_{i}"), format!("dst_{i}"))) + .collect() +} + +/// Wait until `sql` from every node returns exactly `expected`. +async fn wait_every_node_reads(cluster: &TestCluster, sql: &str, expected: &Pairs) { + for idx in 0..cluster.nodes.len() { + wait_for( + &format!("node {idx} reads {} rows of {sql}", expected.len()), + Duration::from_secs(30), + Duration::from_millis(100), + || { + tokio::task::block_in_place(|| { + tokio::runtime::Handle::current().block_on(async { + let rows = pairs(&cluster.nodes[idx].client, sql).await; + &rows.into_iter().collect::() == expected + }) + }) + }, + ) + .await; + } +} + +/// Assert `sql` from every node returns exactly `expected`, each row once. +async fn assert_every_node_reads(cluster: &TestCluster, sql: &str, expected: &Pairs) { + for idx in 0..cluster.nodes.len() { + let rows = pairs(&cluster.nodes[idx].client, sql).await; + let set: Pairs = rows.iter().cloned().collect(); + assert_eq!( + rows.len(), + set.len(), + "node {idx}: duplicate rows in {sql}: {rows:?}" + ); + assert_eq!(&set, expected, "node {idx}: {sql} returned {rows:?}"); + } +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn historical_label_match_reads_the_cut_from_every_node() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!("CREATE COLLECTION {COLL}")) + .await + .expect("CREATE COLLECTION"); + wait_for( + "all 3 nodes see the collection", + Duration::from_secs(10), + Duration::from_millis(50), + || { + cluster + .nodes + .iter() + .all(|n| n.cached_collection_count() >= 1) + }, + ) + .await; + + // Distinct source names spread across vShards on all three nodes, so the + // label versions live on every node. + let client = &cluster.nodes[0].client; + for i in 0..SOURCES { + exec( + client, + &format!("GRAPH INSERT EDGE IN '{COLL}' FROM 'src_{i}' TO 'dst_{i}' TYPE 'K'"), + ) + .await; + exec(client, &format!("GRAPH LABEL 'src_{i}' AS 'Hot'")).await; + } + let all = source_pairs(0..SOURCES); + wait_every_node_reads(&cluster, &match_sql("Hot", None), &all).await; + + tokio::time::sleep(Duration::from_millis(50)).await; + let cut = now_ms(); + tokio::time::sleep(Duration::from_millis(50)).await; + + // Move every even source from `Hot` to `Cold`. + let even: Vec = (0..SOURCES).filter(|i| i % 2 == 0).collect(); + for i in &even { + exec(client, &format!("GRAPH UNLABEL 'src_{i}' AS 'Hot'")).await; + exec(client, &format!("GRAPH LABEL 'src_{i}' AS 'Cold'")).await; + } + let odd = source_pairs((0..SOURCES).filter(|i| i % 2 == 1)); + let cold = source_pairs(even.iter().copied()); + wait_every_node_reads(&cluster, &match_sql("Hot", None), &odd).await; + wait_every_node_reads(&cluster, &match_sql("Cold", None), &cold).await; + + // At the cut every source was `Hot` and none was `Cold`, on every node. + assert_every_node_reads(&cluster, &match_sql("Hot", Some(cut)), &all).await; + assert_every_node_reads(&cluster, &match_sql("Cold", Some(cut)), &Pairs::new()).await; + + cluster.shutdown().await; +} diff --git a/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_traverse_as_of_cross_node.rs b/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_traverse_as_of_cross_node.rs new file mode 100644 index 000000000..827a0207f --- /dev/null +++ b/nodedb-cluster-tests/tests/sql_cluster_cross_node_dml_tests/graph_traverse_as_of_cross_node.rs @@ -0,0 +1,205 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Historical `GRAPH TRAVERSE ... AS OF SYSTEM TIME` across nodes. +//! +//! Edges are keyed by source node, so the hops of a 2-hop walk expand on the +//! nodes that own each frontier node's vShard. A historical walk pins one +//! cut on the coordinator. Every owner waits until it installed every edge +//! version at or below that cut before it expands a hop, so the walk answers +//! the full graph at the cut from any coordinator: +//! +//! - right after the writes, before any wait for replication, and +//! - after later deletes and inserts changed the current graph. + +use std::collections::HashSet; +use std::time::{Duration, SystemTime, UNIX_EPOCH}; + +use crate::common::cluster_harness::{TestCluster, wait_for}; + +const COLL: &str = "gtrav_asof"; +const MIDS: usize = 8; + +/// The node ids a `GRAPH TRAVERSE` result row names. +async fn traverse_ids(client: &tokio_postgres::Client, sql: &str) -> Vec { + let msgs = client + .simple_query(sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); + let row = msgs + .iter() + .find_map(|m| match m { + tokio_postgres::SimpleQueryMessage::Row(r) => Some(r), + _ => None, + }) + .unwrap_or_else(|| panic!("{sql}: no result row")); + let raw = row.get("result").expect("result column present"); + let v: serde_json::Value = serde_json::from_str(raw).expect("result column is valid JSON"); + v.get("nodes") + .and_then(|n| n.as_array()) + .expect("traverse result has a nodes array") + .iter() + .map(|n| { + n.get("id") + .and_then(|id| id.as_str()) + .expect("node has string id") + .to_string() + }) + .collect() +} + +/// Wait until a traverse from every node reaches exactly `expected`. +async fn wait_every_node_reaches(cluster: &TestCluster, sql: &str, expected: &HashSet) { + for idx in 0..cluster.nodes.len() { + wait_for( + &format!("node {idx} reaches {} nodes", expected.len()), + Duration::from_secs(30), + Duration::from_millis(100), + || { + tokio::task::block_in_place(|| { + tokio::runtime::Handle::current().block_on(async { + let ids = traverse_ids(&cluster.nodes[idx].client, sql).await; + &ids.into_iter().collect::>() == expected + }) + }) + }, + ) + .await; + } +} + +/// Assert a traverse from every node returns exactly `expected`, each id once. +async fn assert_every_node_reaches(cluster: &TestCluster, sql: &str, expected: &HashSet) { + for idx in 0..cluster.nodes.len() { + let ids = traverse_ids(&cluster.nodes[idx].client, sql).await; + let set: HashSet = ids.iter().cloned().collect(); + assert_eq!( + ids.len(), + set.len(), + "node {idx}: duplicate node ids in {sql}: {ids:?}" + ); + assert_eq!(&set, expected, "node {idx}: {sql} returned {ids:?}"); + } +} + +async fn exec(client: &tokio_postgres::Client, sql: &str) { + client + .simple_query(sql) + .await + .unwrap_or_else(|e| panic!("{sql}: {e}")); +} + +fn now_ms() -> i64 { + SystemTime::now() + .duration_since(UNIX_EPOCH) + .expect("clock after the epoch") + .as_millis() as i64 +} + +fn ids(names: impl IntoIterator) -> HashSet { + names.into_iter().collect() +} + +#[tokio::test(flavor = "multi_thread", worker_threads = 6)] +async fn historical_traverse_reads_the_full_cut_from_any_node() { + let cluster = TestCluster::spawn_three().await.expect("3-node cluster"); + cluster + .exec_ddl_on_any_leader(&format!("CREATE COLLECTION {COLL}")) + .await + .expect("CREATE COLLECTION"); + wait_for( + "all 3 nodes see the collection", + Duration::from_secs(10), + Duration::from_millis(50), + || { + cluster + .nodes + .iter() + .all(|n| n.cached_collection_count() >= 1) + }, + ) + .await; + + let client = &cluster.nodes[0].client; + + // Warm-up: every node's routing view converges, so a coordinator sends + // each frontier node to its owner. + for i in 0..10 { + exec( + client, + &format!("GRAPH INSERT EDGE IN '{COLL}' FROM 'warm' TO 'w_{i}' TYPE 'l'"), + ) + .await; + } + let warm = ids(std::iter::once("warm".to_string()).chain((0..10).map(|i| format!("w_{i}")))); + wait_every_node_reaches( + &cluster, + &format!("GRAPH TRAVERSE IN '{COLL}' FROM 'warm' DEPTH 1 LABEL 'l' DIRECTION out"), + &warm, + ) + .await; + + // root -> m_i -> l_i_0, l_i_1. Each m_i expands on its own owner. + for i in 0..MIDS { + exec( + client, + &format!("GRAPH INSERT EDGE IN '{COLL}' FROM 'root' TO 'm_{i}' TYPE 'l'"), + ) + .await; + for j in 0..2 { + exec( + client, + &format!("GRAPH INSERT EDGE IN '{COLL}' FROM 'm_{i}' TO 'l_{i}_{j}' TYPE 'l'"), + ) + .await; + } + } + let at_cut = ids(std::iter::once("root".to_string()) + .chain((0..MIDS).map(|i| format!("m_{i}"))) + .chain((0..MIDS).flat_map(|i| (0..2).map(move |j| format!("l_{i}_{j}"))))); + + // The cut follows every acknowledged write. No wait for replication: a + // remote owner that has not installed the writes yet waits for the cut + // before it expands its hop. + tokio::time::sleep(Duration::from_millis(50)).await; + let cut = now_ms(); + tokio::time::sleep(Duration::from_millis(50)).await; + let historical = format!( + "GRAPH TRAVERSE IN '{COLL}' FROM 'root' DEPTH 2 LABEL 'l' DIRECTION out \ + AS OF SYSTEM TIME {cut}" + ); + assert_every_node_reaches(&cluster, &historical, &at_cut).await; + + // Change the current graph: cut one hop-1 edge and one hop-2 edge, add a + // new hop-1 node. + exec( + client, + &format!("GRAPH DELETE EDGE IN '{COLL}' FROM 'root' TO 'm_0' TYPE 'l'"), + ) + .await; + exec( + client, + &format!("GRAPH DELETE EDGE IN '{COLL}' FROM 'm_1' TO 'l_1_0' TYPE 'l'"), + ) + .await; + exec( + client, + &format!("GRAPH INSERT EDGE IN '{COLL}' FROM 'root' TO 'late' TYPE 'l'"), + ) + .await; + let mut current = at_cut.clone(); + for gone in ["m_0", "l_0_0", "l_0_1", "l_1_0"] { + current.remove(gone); + } + current.insert("late".to_string()); + wait_every_node_reaches( + &cluster, + &format!("GRAPH TRAVERSE IN '{COLL}' FROM 'root' DEPTH 2 LABEL 'l' DIRECTION out"), + ¤t, + ) + .await; + + // The walk at the cut still reads the graph before the changes. + assert_every_node_reaches(&cluster, &historical, &at_cut).await; + + cluster.shutdown().await; +} diff --git a/nodedb-cluster/src/distributed_array/coordinator/elementwise.rs b/nodedb-cluster/src/distributed_array/coordinator/elementwise.rs index 0bfbbca74..14946db1b 100644 --- a/nodedb-cluster/src/distributed_array/coordinator/elementwise.rs +++ b/nodedb-cluster/src/distributed_array/coordinator/elementwise.rs @@ -119,7 +119,7 @@ mod tests { op_msgpack: vec![0x00], attr_idx: 0, shard_bucket: None, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, txn_id: None, } diff --git a/nodedb-cluster/src/distributed_array/coordinator/read.rs b/nodedb-cluster/src/distributed_array/coordinator/read.rs index 6a98607a3..711fce833 100644 --- a/nodedb-cluster/src/distributed_array/coordinator/read.rs +++ b/nodedb-cluster/src/distributed_array/coordinator/read.rs @@ -435,6 +435,7 @@ mod tests { valid_at_ms: None, txn_id: None, zone_msgpack: vec![], + physical: false, }; // 3 shards × 2 rows each = 6 merged rows. @@ -477,6 +478,7 @@ mod tests { valid_at_ms: None, txn_id: None, zone_msgpack: vec![], + physical: false, }; let result = coord @@ -495,10 +497,11 @@ mod tests { group_by_dim: -1, cell_filter_msgpack: vec![], shard_bucket: None, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, txn_id: None, region_msgpack: vec![], + physical: false, } } @@ -663,6 +666,7 @@ mod tests { valid_at_ms: None, txn_id: None, zone_msgpack: vec![], + physical: false, }; // coordinator_limit = 0 → no cutoff → 20 rows. @@ -738,6 +742,7 @@ mod tests { valid_at_ms: None, txn_id: None, zone_msgpack: vec![], + physical: false, }; let result = coord .coord_slice(req, 0, nodedb_types::SystemTimeScope::Current) diff --git a/nodedb-cluster/src/distributed_array/handler.rs b/nodedb-cluster/src/distributed_array/handler.rs index 049043037..13d55ce19 100644 --- a/nodedb-cluster/src/distributed_array/handler.rs +++ b/nodedb-cluster/src/distributed_array/handler.rs @@ -417,16 +417,15 @@ mod tests { valid_at_ms: None, txn_id: None, zone_msgpack: vec![], + physical: false, }; zerompk::to_msgpack_vec(&req).unwrap() } fn make_agg_req_bytes() -> Vec { - // Encode a minimal Sum reducer (c_enum byte). - // We use rmp_serde directly since we don't have ArrayReducer here, - // but any single-byte msgpack value works as the reducer payload for - // StubExecutor (it never decodes it). - let reducer_bytes = vec![0x00u8]; // Sum = 0 as c_enum + // StubExecutor never decodes the reducer, so any msgpack value + // serves as its payload. + let reducer_bytes = vec![0x00u8]; let req = super::super::wire::ArrayShardAggReq { array_id_msgpack: vec![], attr_idx: 0, @@ -434,10 +433,11 @@ mod tests { group_by_dim: -1, cell_filter_msgpack: vec![], shard_bucket: None, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, txn_id: None, region_msgpack: vec![], + physical: false, }; zerompk::to_msgpack_vec(&req).unwrap() } @@ -466,7 +466,7 @@ mod tests { op_msgpack: vec![0x00], attr_idx: 0, shard_bucket: None, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, txn_id: None, }; @@ -781,6 +781,7 @@ mod tests { valid_at_ms: None, txn_id: None, zone_msgpack: vec![], + physical: false, } } diff --git a/nodedb-cluster/src/distributed_array/merge.rs b/nodedb-cluster/src/distributed_array/merge.rs index d29c039a1..e119f6a60 100644 --- a/nodedb-cluster/src/distributed_array/merge.rs +++ b/nodedb-cluster/src/distributed_array/merge.rs @@ -20,6 +20,8 @@ use serde::{Deserialize, Serialize}; +use nodedb_types::array_agg::ValueDist; + use super::agg_number::ArrayAggNumber; use super::group_key::ArrayAggGroupKey; use super::wire::{ArrayShardAggResp, ArrayShardSliceResp}; @@ -27,8 +29,10 @@ use crate::error::{ClusterError, Result}; /// Partial aggregate contributed by a single shard for one group-by bucket. /// -/// Carries enough state for all supported reducers (SUM, COUNT, MIN, MAX, -/// MEAN). Welford fields enable variance/stddev if a future reducer needs it. +/// Carries enough state for every reducer: SUM, COUNT, MIN, MAX and MEAN +/// from the running numbers, the variances and standard deviations from the +/// Welford fields, MEDIAN / PERCENTILE / MODE from the exact `dist`, and +/// HISTOGRAM from `bins`. Every field merges exactly. #[derive( Debug, Clone, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, )] @@ -43,6 +47,11 @@ pub struct ArrayAggPartial { /// Welford mean — enables MEAN without a second pass. pub welford_mean: f64, pub welford_m2: f64, + /// Every distinct value with its count. `Empty` for a reducer that + /// needs no distribution. + pub dist: ValueDist, + /// Histogram bin counts. Empty for any other reducer. + pub bins: Vec, } impl ArrayAggPartial { @@ -65,6 +74,8 @@ impl ArrayAggPartial { max: val, welford_mean: val.as_f64(), welford_m2: 0.0, + dist: ValueDist::Empty, + bins: Vec::new(), } } @@ -78,18 +89,32 @@ impl ArrayAggPartial { max: ArrayAggNumber::Float(f64::NEG_INFINITY), welford_mean: 0.0, welford_m2: 0.0, + dist: ValueDist::Empty, + bins: Vec::new(), } } /// Merge another partial into this one using parallel Welford. + /// + /// Histogram bins add even when a side counted no value in range, so a + /// group keeps its bins. pub fn merge(&mut self, other: &ArrayAggPartial) { + if self.bins.len() < other.bins.len() { + self.bins.resize(other.bins.len(), 0); + } + for (slot, n) in self.bins.iter_mut().zip(&other.bins) { + *slot = slot.saturating_add(*n); + } if other.count == 0 { return; } if self.count == 0 { + let bins = std::mem::take(&mut self.bins); *self = other.clone(); + self.bins = bins; return; } + self.dist = std::mem::replace(&mut self.dist, ValueDist::Empty).merge(other.dist.clone()); self.sum = self.sum.sum_with(other.sum); self.min = self.min.min_with(other.min); self.max = self.max.max_with(other.max); @@ -107,7 +132,7 @@ impl ArrayAggPartial { } } -/// Returns `true` if any shard reported that `system_as_of` fell below its +/// Returns `true` if any shard reported that the system-time cutoff fell below its /// oldest tile version and it produced zero rows as a result. /// /// Callers combine this flag via logical OR across shards to propagate the @@ -116,7 +141,7 @@ pub fn any_truncated_before_horizon_slice(shard_resps: &[ArrayShardSliceResp]) - shard_resps.iter().any(|r| r.truncated_before_horizon) } -/// Returns `true` if any shard reported that `system_as_of` fell below its +/// Returns `true` if any shard reported that the system-time cutoff fell below its /// oldest tile version, causing the shard to contribute zero partials. pub fn any_truncated_before_horizon_agg(shard_resps: &[ArrayShardAggResp]) -> bool { shard_resps.iter().any(|r| r.truncated_before_horizon) @@ -330,6 +355,36 @@ mod tests { assert!((a.sum.as_f64() - 42.0).abs() < f64::EPSILON); } + /// Distributions and histogram bins merge exactly across shards, and a + /// shard with no in-range value still keeps its bins. + #[test] + fn dist_and_bins_merge_across_shards() { + use nodedb_types::array_agg::IntRun; + let with = |runs: Vec<(i64, u64)>, bins: Vec| ArrayAggPartial { + count: runs.iter().map(|r| r.1).sum(), + dist: ValueDist::Ints( + runs.into_iter() + .map(|(value, count)| IntRun { value, count }) + .collect(), + ), + bins, + ..ArrayAggPartial::empty(g(0)) + }; + let mut a = with(vec![(1, 1), (5, 2)], vec![1, 2]); + a.merge(&with(vec![(5, 1), (9, 1)], vec![0, 2])); + assert_eq!(a.count, 5); + assert_eq!(a.dist.percentile(0.5), Ok(Some(5.0))); + assert_eq!(a.bins, vec![1, 4]); + + let mut empty = ArrayAggPartial { + bins: vec![0, 0], + ..ArrayAggPartial::empty(g(0)) + }; + empty.merge(&with(vec![(3, 1)], vec![1, 0])); + assert_eq!(empty.bins, vec![1, 0]); + assert_eq!(empty.count, 1); + } + #[test] fn merge_slice_rows_concatenates() { let r0 = ArrayShardSliceResp { diff --git a/nodedb-cluster/src/distributed_array/wire.rs b/nodedb-cluster/src/distributed_array/wire.rs index bc6209fe1..507f9157f 100644 --- a/nodedb-cluster/src/distributed_array/wire.rs +++ b/nodedb-cluster/src/distributed_array/wire.rs @@ -57,6 +57,8 @@ pub struct ArrayShardSliceReq { /// Zerompk encoding of `nodedb_array::query::PolygonZone`, forwarded from /// `ArrayOp::Slice::zone_msgpack`. Empty = no zone. pub zone_msgpack: Vec, + /// Read attrs physically, forwarded from `ArrayOp::Slice::physical`. + pub physical: bool, } /// Gather response: shard returns matching rows as opaque msgpack row bytes. @@ -67,7 +69,7 @@ pub struct ArrayShardSliceResp { pub rows_msgpack: Vec>, /// True when the shard hit the `limit` and may have more rows. pub truncated: bool, - /// True when `system_as_of` is below the oldest tile version on this shard + /// True when the system-time cutoff is below the oldest tile version on this shard /// and the shard produced zero rows as a result of that horizon. pub truncated_before_horizon: bool, /// The write versions the shard read observed, one per vShard it covers, @@ -83,7 +85,7 @@ pub struct ArrayShardSliceResp { pub struct ArrayShardAggReq { pub array_id_msgpack: Vec, pub attr_idx: u32, - /// Zerompk encoding of `ArrayReducer` (c_enum, 1 byte on wire). + /// Zerompk encoding of `ArrayReducer`. pub reducer_msgpack: Vec, /// Negative means no group-by; non-negative is the dimension index. pub group_by_dim: i32, @@ -92,9 +94,10 @@ pub struct ArrayShardAggReq { /// The bucket this shard owns. The shard counts only cells whose tile /// key falls in it. `None` counts every cell. pub shard_bucket: Option, - /// Bitemporal system-time cutoff forwarded from `ArrayOp::Aggregate::system_as_of`. - /// `None` = live read. - pub system_as_of: Option, + /// Bitemporal system-time scope forwarded from + /// `ArrayOp::Aggregate::system_time`. A `Pinned` scope names the cut + /// marker the shard waits for before it reads. + pub system_time: nodedb_types::SystemTimeScope, /// Bitemporal valid-time point forwarded from `ArrayOp::Aggregate::valid_at_ms`. /// `None` = no valid-time filter. pub valid_at_ms: Option, @@ -111,6 +114,8 @@ pub struct ArrayShardAggReq { /// Zerompk encoding of `nodedb_array::query::ArrayRegion`, forwarded from /// `ArrayOp::Aggregate::region_msgpack`. Empty = the whole array. pub region_msgpack: Vec, + /// Reduce physical values, forwarded from `ArrayOp::Aggregate::physical`. + pub physical: bool, } /// Gather response: shard returns partial aggregate(s) for merge. @@ -119,7 +124,7 @@ pub struct ArrayShardAggResp { pub shard_id: u32, /// One partial per group-by bucket (or one entry when group_by_dim < 0). pub partials: Vec, - /// True when `system_as_of` is below the oldest tile version on this shard + /// True when the system-time cutoff is below the oldest tile version on this shard /// and the shard produced zero rows as a result of that horizon. pub truncated_before_horizon: bool, /// The write versions the shard read observed (see @@ -147,8 +152,9 @@ pub struct ArrayShardElementwiseReq { /// falls in it, so vShards that share one Data Plane emit no row twice. /// `None` pairs every cell. pub shard_bucket: Option, - /// Bitemporal system-time cutoff for both operands. `None` = live read. - pub system_as_of: Option, + /// Bitemporal system-time scope for both operands (see + /// [`ArrayShardAggReq::system_time`]). + pub system_time: nodedb_types::SystemTimeScope, /// Bitemporal valid-time point for both operands. `None` = no /// valid-time filter. pub valid_at_ms: Option, diff --git a/nodedb-cluster/src/lib.rs b/nodedb-cluster/src/lib.rs index 5ed99f51c..6f5e90aed 100644 --- a/nodedb-cluster/src/lib.rs +++ b/nodedb-cluster/src/lib.rs @@ -117,9 +117,9 @@ pub use migration_executor::{ }; pub use multi_raft::{GroupStatus, MultiRaft}; pub use raft_loop::{ - ApplyPermit, AssignRemoteSurrogate, AuthLeaseService, BuiltGroupSnapshot, CalvinSubmit, - CalvinSubmitInbox, CommitApplier, DataProposeGate, GroupApplyGates, InstallPermit, - MetadataSnapshotCapture, ProposeHold, RaftLoop, ReleaseReservation, ReserveRead, + Admitted, ApplyPermit, AssignRemoteSurrogate, AuthLeaseService, BuiltGroupSnapshot, + CalvinSubmit, CalvinSubmitInbox, CommitApplier, DataProposeGate, GroupApplyGates, + InstallPermit, MetadataSnapshotCapture, ProposeHold, RaftLoop, ReleaseReservation, ReserveRead, ShuffleAggregator, ShuffleConsumer, ShuffleProducer, ShuffleReceiver, SnapshotApplier, SnapshotBuilder, SnapshotQuarantineHook, VShardEnvelopeHandler, }; diff --git a/nodedb-cluster/src/raft_loop/mod.rs b/nodedb-cluster/src/raft_loop/mod.rs index 039f16c38..7a9a8efa2 100644 --- a/nodedb-cluster/src/raft_loop/mod.rs +++ b/nodedb-cluster/src/raft_loop/mod.rs @@ -49,4 +49,4 @@ pub use hooks::{ }; pub use in_flight_snapshots::{InFlightSnapshotGuard, InFlightSnapshots}; pub use loop_core::{CommitApplier, RaftLoop, VShardEnvelopeHandler}; -pub use propose_gate::{DataProposeGate, ProposeHold}; +pub use propose_gate::{Admitted, DataProposeGate, ProposeHold}; diff --git a/nodedb-cluster/src/raft_loop/propose_gate.rs b/nodedb-cluster/src/raft_loop/propose_gate.rs index 198a854d5..6e7a3c170 100644 --- a/nodedb-cluster/src/raft_loop/propose_gate.rs +++ b/nodedb-cluster/src/raft_loop/propose_gate.rs @@ -12,6 +12,10 @@ //! leader through [`RaftLoop::propose_admitted`]. `nodedb-cluster` cannot //! depend on `nodedb`, so the gate lives in the host crate behind //! [`DataProposeGate`]. +//! +//! The gate also stamps the entry with what only the leader decides: the +//! host returns the stamped bytes, and the leader proposes those in place of +//! the bytes the proposer sent. use crate::error::Result; use crate::forward::PlanExecutor; @@ -25,6 +29,17 @@ pub trait ProposeHold: Send { fn landed(self: Box, group_id: u64, log_index: u64); } +/// What the write gate admitted for one entry. +#[derive(Default)] +pub struct Admitted { + /// The lock keys the entry holds. `None` when it takes none. + pub hold: Option>, + /// The bytes the leader proposes in place of the bytes the proposer + /// sent: the entry with the leader's stamps. `None` proposes the bytes + /// as sent. + pub entry: Option>, +} + /// The host's write gate for data-group proposals on their leader. #[async_trait::async_trait] pub trait DataProposeGate: Send + Sync + 'static { @@ -32,9 +47,9 @@ pub trait DataProposeGate: Send + Sync + 'static { /// `vshard_id`, on this leader. A contended entry waits for its keys /// until `deadline`, the proposer's own deadline. /// - /// - `Ok(None)`: the entry takes no lock key. - /// - `Ok(Some(hold))`: the entry holds its keys until `hold` releases - /// them. + /// - `Ok(admitted)` with no `hold`: the entry takes no lock key. + /// - `Ok(admitted)` with a `hold`: the entry holds its keys until the + /// hold releases them. /// - `Err(ClusterError::Calvin(CalvinError::RouteToSequencer))`: a held /// key blocks the write, and the proposer submits it to the Calvin /// sequencer. @@ -45,7 +60,7 @@ pub trait DataProposeGate: Send + Sync + 'static { vshard_id: u32, entry: &[u8], deadline: tokio::time::Instant, - ) -> Result>>; + ) -> Result; } impl RaftLoop { @@ -63,13 +78,14 @@ impl RaftLoop { data: &[u8], deadline: tokio::time::Instant, ) -> Result<(u64, u64)> { - let hold = match &self.data_propose_gate { + let Admitted { hold, entry } = match &self.data_propose_gate { Some(gate) if self.leads_group_of(vshard_id) => { gate.admit(vshard_id, data, deadline).await? } - Some(_) | None => None, + Some(_) | None => Admitted::default(), }; - let (group_id, log_index) = self.propose(vshard_id, data.to_vec())?; + let entry = entry.unwrap_or_else(|| data.to_vec()); + let (group_id, log_index) = self.propose(vshard_id, entry)?; if let Some(hold) = hold { hold.landed(group_id, log_index); } diff --git a/nodedb-cluster/src/rpc_codec/data_plane_error.rs b/nodedb-cluster/src/rpc_codec/data_plane_error.rs index e1157d806..2fb766a97 100644 --- a/nodedb-cluster/src/rpc_codec/data_plane_error.rs +++ b/nodedb-cluster/src/rpc_codec/data_plane_error.rs @@ -212,6 +212,10 @@ pub enum DataPlaneErrorCode { label: String, limit: u64, }, + /// The statement passed a fixed program limit (SQLSTATE `54000`). + ProgramLimitExceeded { + detail: String, + }, /// Text does not parse as the column's type (SQLSTATE `22P02`). InvalidTextRepresentation { detail: String, diff --git a/nodedb-columnar/Cargo.toml b/nodedb-columnar/Cargo.toml index bb7f09ebc..950f16527 100644 --- a/nodedb-columnar/Cargo.toml +++ b/nodedb-columnar/Cargo.toml @@ -22,6 +22,7 @@ diagnostics = ["dep:faultbox"] [dependencies] nodedb-types = { workspace = true } +nodedb-spatial = { workspace = true } nodedb-codec = { workspace = true } nodedb-mem = { workspace = true } thiserror = { workspace = true } diff --git a/nodedb-columnar/src/error.rs b/nodedb-columnar/src/error.rs index 56f4e926c..a1d254b72 100644 --- a/nodedb-columnar/src/error.rs +++ b/nodedb-columnar/src/error.rs @@ -63,6 +63,13 @@ pub enum ColumnarError { source: nodedb_types::MsgpackError, }, + /// A value for a `Geometry` column that does not parse or encode. + #[error("geometry for column '{column}': {source}")] + Geometry { + column: String, + source: nodedb_spatial::SpatialError, + }, + #[error("null violation: column '{0}' is NOT NULL")] NullViolation(String), diff --git a/nodedb-columnar/src/geometry_cell.rs b/nodedb-columnar/src/geometry_cell.rs new file mode 100644 index 000000000..a7be58908 --- /dev/null +++ b/nodedb-columnar/src/geometry_cell.rs @@ -0,0 +1,78 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The stored form of a `Geometry` column cell: little-endian EWKB, which +//! keeps the SRID, Z and M. +//! +//! A write accepts every shape a geometry takes on its way in: the native +//! geometry, its text (GeoJSON, EWKT, WKT, hex EWKB), WKB / EWKB bytes, or +//! a GeoJSON object. Stored SRIDs are checked for syntax only. Whether an +//! SRID is defined is a question for the planner that admitted the row. + +use nodedb_spatial::{SpatialError, SridCheck}; +use nodedb_types::value::Value; + +use crate::error::ColumnarError; + +/// The EWKB bytes of a value written to geometry column `column`. +pub(crate) fn encode_geometry_cell(value: &Value, column: &str) -> Result, ColumnarError> { + nodedb_spatial::ewkb_of_value(value, SridCheck::Syntax).map_err(|e| match e { + SpatialError::NotGeometryValue { .. } => ColumnarError::TypeMismatch { + column: column.to_string(), + expected: "Geometry".into(), + }, + source => ColumnarError::Geometry { + column: column.to_string(), + source, + }, + }) +} + +/// The reason a corruption error reports for a cell that is not EWKB. +pub(crate) fn not_ewkb(error: SpatialError) -> String { + format!("geometry cell is not EWKB: {error}") +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::{Geometry, Ordinates, Srid, SridGeometry}; + + #[test] + fn every_input_form_stores_as_ewkb_and_decodes() { + let zm = SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(); + let native = encode_geometry_cell(&Value::Geometry(zm.clone()), "g").unwrap(); + assert_eq!( + nodedb_spatial::value_of_ewkb(&native), + Ok(Value::Geometry(zm)) + ); + let text = encode_geometry_cell(&Value::String("POINT M (1 2 9)".into()), "g").unwrap(); + let Ok(Value::Geometry(g)) = nodedb_spatial::value_of_ewkb(&text) else { + panic!(); + }; + assert_eq!(g.ordinates().m(), Some(&[9.0][..])); + } + + #[test] + fn malformed_input_is_refused() { + assert!(matches!( + encode_geometry_cell(&Value::String("POINT(".into()), "g"), + Err(ColumnarError::Geometry { .. }) + )); + assert!(matches!( + encode_geometry_cell(&Value::Integer(1), "g"), + Err(ColumnarError::TypeMismatch { .. }) + )); + assert!(nodedb_spatial::value_of_ewkb(b"{\"type\":\"Point\"}").is_err()); + let mut object = std::collections::HashMap::new(); + object.insert("type".to_string(), Value::String("Point".into())); + assert!(matches!( + encode_geometry_cell(&Value::Object(object), "g"), + Err(ColumnarError::Geometry { .. }) + )); + } +} diff --git a/nodedb-columnar/src/lib.rs b/nodedb-columnar/src/lib.rs index e7c5171de..762dd33f8 100644 --- a/nodedb-columnar/src/lib.rs +++ b/nodedb-columnar/src/lib.rs @@ -22,6 +22,7 @@ pub mod delete_bitmap; pub mod error; pub mod filter; pub mod format; +pub(crate) mod geometry_cell; pub mod materialize_rows; pub mod memtable; pub mod mutation; diff --git a/nodedb-columnar/src/memtable/column_data/access.rs b/nodedb-columnar/src/memtable/column_data/access.rs index bf0b632a8..3aebe1672 100644 --- a/nodedb-columnar/src/memtable/column_data/access.rs +++ b/nodedb-columnar/src/memtable/column_data/access.rs @@ -123,10 +123,8 @@ impl ColumnData { Self::Geometry { data, offsets, .. } => { let start = offsets[row] as usize; let end = offsets[row + 1] as usize; - Value::String( - utf8_cell(&data[start..end]) - .map_err(|e| corrupt(format!("text cell is not UTF-8: {e}")))?, - ) + nodedb_spatial::value_of_ewkb(&data[start..end]) + .map_err(|e| corrupt(crate::geometry_cell::not_ewkb(e)))? } Self::Vector { data, dim, .. } => { let d = *dim as usize; diff --git a/nodedb-columnar/src/memtable/column_data/mutation.rs b/nodedb-columnar/src/memtable/column_data/mutation.rs deleted file mode 100644 index 8ba0dbae9..000000000 --- a/nodedb-columnar/src/memtable/column_data/mutation.rs +++ /dev/null @@ -1,327 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Mutation methods on `ColumnData`: truncate, push, push_valid. -//! -//! `push_ref` and `backfill_nulls` live in `mutation_ingest.rs`. - -use nodedb_types::value::Value; - -use crate::error::ColumnarError; - -use super::types::ColumnData; - -#[path = "mutation_ingest.rs"] -mod mutation_ingest; - -impl ColumnData { - /// Truncate this column to `n` rows, discarding any rows beyond that point. - /// - /// Used by transaction rollback to restore the column to its pre-write state. - /// Panics in debug builds if `n > self.len()`. - pub(crate) fn truncate(&mut self, n: usize) { - debug_assert!( - n <= self.len(), - "truncate({n}) exceeds column length {}", - self.len() - ); - match self { - Self::Int64 { values, valid } => { - values.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Float64 { values, valid } => { - values.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Bool { values, valid } => { - values.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Timestamp { values, valid } => { - values.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Decimal { values, valid } => { - values.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Uuid { values, valid } => { - values.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - Self::String { - data, - offsets, - valid, - } => { - // offsets has length n_rows + 1; truncate to n+1. - if n < offsets.len().saturating_sub(1) { - let byte_end = offsets[n] as usize; - data.truncate(byte_end); - offsets.truncate(n + 1); - } - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Bytes { - data, - offsets, - valid, - } => { - if n < offsets.len().saturating_sub(1) { - let byte_end = offsets[n] as usize; - data.truncate(byte_end); - offsets.truncate(n + 1); - } - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Geometry { - data, - offsets, - valid, - } => { - if n < offsets.len().saturating_sub(1) { - let byte_end = offsets[n] as usize; - data.truncate(byte_end); - offsets.truncate(n + 1); - } - if let Some(v) = valid { - v.truncate(n); - } - } - Self::Vector { data, dim, valid } => { - let d = *dim as usize; - if d > 0 { - data.truncate(n * d); - } - if let Some(v) = valid { - v.truncate(n); - } - } - Self::DictEncoded { ids, valid, .. } => { - ids.truncate(n); - if let Some(v) = valid { - v.truncate(n); - } - } - } - } - - /// Push a validity bit (if the column is nullable). - #[inline(always)] - pub(crate) fn push_valid(valid: &mut Option>, is_valid: bool) { - if let Some(v) = valid { - v.push(is_valid); - } - } - - /// Append a value. Returns error if type doesn't match. - pub(crate) fn push(&mut self, value: &Value, col_name: &str) -> Result<(), ColumnarError> { - match (self, value) { - (Self::Int64 { values, valid }, Value::Null) => { - values.push(0); - Self::push_valid(valid, false); - } - (Self::Float64 { values, valid }, Value::Null) => { - values.push(0.0); - Self::push_valid(valid, false); - } - (Self::Bool { values, valid }, Value::Null) => { - values.push(false); - Self::push_valid(valid, false); - } - (Self::Timestamp { values, valid }, Value::Null) => { - values.push(0); - Self::push_valid(valid, false); - } - (Self::Decimal { values, valid }, Value::Null) => { - values.push([0u8; 16]); - Self::push_valid(valid, false); - } - (Self::Uuid { values, valid }, Value::Null) => { - values.push([0u8; 16]); - Self::push_valid(valid, false); - } - (Self::String { offsets, valid, .. }, Value::Null) => { - offsets.push(*offsets.last().unwrap_or(&0)); - Self::push_valid(valid, false); - } - (Self::Bytes { offsets, valid, .. }, Value::Null) => { - offsets.push(*offsets.last().unwrap_or(&0)); - Self::push_valid(valid, false); - } - (Self::Geometry { offsets, valid, .. }, Value::Null) => { - offsets.push(*offsets.last().unwrap_or(&0)); - Self::push_valid(valid, false); - } - (Self::Vector { data, dim, valid }, Value::Null) => { - data.extend(std::iter::repeat_n(0.0f32, *dim as usize)); - Self::push_valid(valid, false); - } - (Self::Int64 { values, valid }, Value::Integer(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Float64 { values, valid }, Value::Float(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Float64 { values, valid }, Value::Integer(v)) => { - values.push(*v as f64); - Self::push_valid(valid, true); - } - (Self::Bool { values, valid }, Value::Bool(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Timestamp { values, valid }, Value::DateTime(dt)) - | (Self::Timestamp { values, valid }, Value::NaiveDateTime(dt)) => { - values.push(dt.micros); - Self::push_valid(valid, true); - } - (Self::Timestamp { values, valid }, Value::Integer(micros)) => { - values.push(*micros); - Self::push_valid(valid, true); - } - (Self::Decimal { values, valid }, Value::Decimal(d)) => { - values.push(d.serialize()); - Self::push_valid(valid, true); - } - (Self::Uuid { values, valid }, Value::Uuid(s)) => { - let bytes = uuid::Uuid::parse_str(s) - .map(|u| *u.as_bytes()) - .unwrap_or([0u8; 16]); - values.push(bytes); - Self::push_valid(valid, true); - } - ( - Self::String { - data, - offsets, - valid, - }, - Value::String(s), - ) => { - data.extend_from_slice(s.as_bytes()); - offsets.push(data.len() as u32); - Self::push_valid(valid, true); - } - ( - Self::Bytes { - data, - offsets, - valid, - }, - Value::Bytes(b), - ) => { - data.extend_from_slice(b); - offsets.push(data.len() as u32); - Self::push_valid(valid, true); - } - ( - Self::Geometry { - data, - offsets, - valid, - }, - Value::Geometry(g), - ) => { - if let Ok(json) = sonic_rs::to_vec(g) { - data.extend_from_slice(&json); - } - offsets.push(data.len() as u32); - Self::push_valid(valid, true); - } - ( - Self::Geometry { - data, - offsets, - valid, - }, - Value::String(s), - ) => { - data.extend_from_slice(s.as_bytes()); - offsets.push(data.len() as u32); - Self::push_valid(valid, true); - } - (Self::Vector { data, dim, valid }, Value::Array(arr)) => { - let d = *dim as usize; - for (i, v) in arr.iter().take(d).enumerate() { - let f = match v { - Value::Float(f) => *f as f32, - Value::Integer(n) => *n as f32, - _ => 0.0, - }; - if i < d { - data.push(f); - } - } - for _ in arr.len()..d { - data.push(0.0); - } - Self::push_valid(valid, true); - } - (Self::DictEncoded { ids, valid, .. }, Value::Null) => { - ids.push(0); - Self::push_valid(valid, false); - } - ( - Self::DictEncoded { - ids, - dictionary, - reverse, - valid, - }, - Value::String(s), - ) => { - let id = if let Some(&existing) = reverse.get(s.as_str()) { - existing - } else { - let new_id = dictionary.len() as u32; - dictionary.push(s.clone()); - reverse.insert(s.clone(), new_id); - new_id - }; - ids.push(id); - Self::push_valid(valid, true); - } - (other, val) => { - let type_name = match other { - Self::Int64 { .. } => "Int64", - Self::Float64 { .. } => "Float64", - Self::Bool { .. } => "Bool", - Self::Timestamp { .. } => "Timestamp", - Self::Decimal { .. } => "Decimal", - Self::Uuid { .. } => "Uuid", - Self::String { .. } => "String", - Self::Bytes { .. } => "Bytes", - Self::Geometry { .. } => "Geometry", - Self::Vector { .. } => "Vector", - Self::DictEncoded { .. } => "DictEncoded", - }; - let _ = val; - return Err(ColumnarError::TypeMismatch { - column: col_name.to_string(), - expected: type_name.to_string(), - }); - } - } - Ok(()) - } - -} diff --git a/nodedb-columnar/src/memtable/column_data/mutation_ingest.rs b/nodedb-columnar/src/memtable/column_data/mutation_ingest.rs deleted file mode 100644 index cf17ed88a..000000000 --- a/nodedb-columnar/src/memtable/column_data/mutation_ingest.rs +++ /dev/null @@ -1,195 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! `push_ref` and `backfill_nulls` methods on `ColumnData`. - -use crate::error::ColumnarError; -use crate::memtable::IngestValue; - -use super::types::ColumnData; - -impl ColumnData { - /// Append a borrowed value (zero-copy for strings). Used by `ingest_row_refs`. - pub(crate) fn push_ref( - &mut self, - value: &IngestValue<'_>, - col_name: &str, - ) -> Result<(), ColumnarError> { - match (self, value) { - (Self::Int64 { values, valid }, IngestValue::Null) => { - values.push(0); - Self::push_valid(valid, false); - } - (Self::Float64 { values, valid }, IngestValue::Null) => { - values.push(0.0); - Self::push_valid(valid, false); - } - (Self::Bool { values, valid }, IngestValue::Null) => { - values.push(false); - Self::push_valid(valid, false); - } - (Self::Timestamp { values, valid }, IngestValue::Null) => { - values.push(0); - Self::push_valid(valid, false); - } - (Self::String { offsets, valid, .. }, IngestValue::Null) => { - offsets.push(*offsets.last().unwrap_or(&0)); - Self::push_valid(valid, false); - } - (Self::DictEncoded { ids, valid, .. }, IngestValue::Null) => { - ids.push(0); - Self::push_valid(valid, false); - } - (Self::Int64 { values, valid }, IngestValue::Int64(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Float64 { values, valid }, IngestValue::Float64(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Float64 { values, valid }, IngestValue::Int64(v)) => { - values.push(*v as f64); - Self::push_valid(valid, true); - } - (Self::Bool { values, valid }, IngestValue::Bool(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Timestamp { values, valid }, IngestValue::Timestamp(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - (Self::Timestamp { values, valid }, IngestValue::Int64(v)) => { - values.push(*v); - Self::push_valid(valid, true); - } - ( - Self::String { - data, - offsets, - valid, - }, - IngestValue::Str(s), - ) => { - data.extend_from_slice(s.as_bytes()); - offsets.push(data.len() as u32); - Self::push_valid(valid, true); - } - ( - Self::DictEncoded { - ids, - dictionary, - reverse, - valid, - }, - IngestValue::Str(s), - ) => { - let id = if let Some(&existing) = reverse.get(*s) { - existing - } else { - let new_id = dictionary.len() as u32; - dictionary.push((*s).to_string()); - reverse.insert((*s).to_string(), new_id); - new_id - }; - ids.push(id); - Self::push_valid(valid, true); - } - (other, _) => { - let type_name = match other { - Self::Int64 { .. } => "Int64", - Self::Float64 { .. } => "Float64", - Self::Bool { .. } => "Bool", - Self::Timestamp { .. } => "Timestamp", - Self::Decimal { .. } => "Decimal", - Self::Uuid { .. } => "Uuid", - Self::String { .. } => "String", - Self::Bytes { .. } => "Bytes", - Self::Geometry { .. } => "Geometry", - Self::Vector { .. } => "Vector", - Self::DictEncoded { .. } => "DictEncoded", - }; - return Err(ColumnarError::TypeMismatch { - column: col_name.to_string(), - expected: type_name.to_string(), - }); - } - } - Ok(()) - } - - /// Backfill a column with null/default values for existing rows. - pub(crate) fn backfill_nulls(&mut self, count: usize) { - match self { - Self::Int64 { values, valid } => { - values.extend(std::iter::repeat_n(0i64, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Float64 { values, valid } => { - values.extend(std::iter::repeat_n(f64::NAN, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Bool { values, valid } => { - values.extend(std::iter::repeat_n(false, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Timestamp { values, valid } => { - values.extend(std::iter::repeat_n(0i64, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Decimal { values, valid } => { - values.extend(std::iter::repeat_n([0u8; 16], count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Uuid { values, valid } => { - values.extend(std::iter::repeat_n([0u8; 16], count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::String { offsets, valid, .. } => { - let last = *offsets.last().unwrap_or(&0); - offsets.extend(std::iter::repeat_n(last, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Bytes { offsets, valid, .. } => { - let last = *offsets.last().unwrap_or(&0); - offsets.extend(std::iter::repeat_n(last, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Geometry { offsets, valid, .. } => { - let last = *offsets.last().unwrap_or(&0); - offsets.extend(std::iter::repeat_n(last, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::Vector { data, dim, valid } => { - data.extend(std::iter::repeat_n(0.0f32, *dim as usize * count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - Self::DictEncoded { ids, valid, .. } => { - ids.extend(std::iter::repeat_n(0u32, count)); - if let Some(v) = valid { - v.extend(std::iter::repeat_n(false, count)); - } - } - } - } -} diff --git a/nodedb-columnar/src/memtable/column_data/push.rs b/nodedb-columnar/src/memtable/column_data/push.rs index 0d962a474..72cb82f77 100644 --- a/nodedb-columnar/src/memtable/column_data/push.rs +++ b/nodedb-columnar/src/memtable/column_data/push.rs @@ -291,29 +291,18 @@ impl ColumnData { offsets.push(data.len() as u32); Self::push_valid(valid, true); } + // EWKB, so the cell keeps its SRID, Z and M. A value that does + // not parse or encode refuses the row. ( Self::Geometry { data, offsets, valid, }, - Value::Geometry(g), + value, ) => { - if let Ok(json) = sonic_rs::to_vec(g) { - data.extend_from_slice(&json); - } - offsets.push(data.len() as u32); - Self::push_valid(valid, true); - } - ( - Self::Geometry { - data, - offsets, - valid, - }, - Value::String(s), - ) => { - data.extend_from_slice(s.as_bytes()); + let ewkb = crate::geometry_cell::encode_geometry_cell(value, col_name)?; + data.extend_from_slice(&ewkb); offsets.push(data.len() as u32); Self::push_valid(valid, true); } diff --git a/nodedb-columnar/src/mutation/engine.rs b/nodedb-columnar/src/mutation/engine.rs index 3882fb40e..0e07560f3 100644 --- a/nodedb-columnar/src/mutation/engine.rs +++ b/nodedb-columnar/src/mutation/engine.rs @@ -11,7 +11,7 @@ use nodedb_types::value::Value; use crate::delete_bitmap::DeleteBitmap; use crate::error::ColumnarError; use crate::memtable::ColumnarMemtable; -use crate::pk_index::{PkIndex, encode_pk}; +use crate::pk_index::{PkIndex, RowLocation, encode_pk}; use crate::wal_record::ColumnarWalRecord; /// Coordinates all columnar mutations for a single collection. @@ -23,6 +23,10 @@ pub struct MutationEngine { pub(super) schema: ColumnarSchema, pub(super) memtable: ColumnarMemtable, pub(super) pk_index: PkIndex, + /// Primary key to the tombstone version the latest bitemporal close of + /// that key wrote. A closed key is unbound in `pk_index`. A later insert + /// of the key leaves the entry: the row it binds is the newer version. + pub(super) closed_index: PkIndex, /// Per-segment delete bitmaps. Key = segment_id. pub(super) delete_bitmaps: HashMap, /// PK column indices in the schema. @@ -82,6 +86,7 @@ impl MutationEngine { schema, memtable, pk_index: PkIndex::new(), + closed_index: PkIndex::new(), delete_bitmaps: HashMap::new(), pk_col_indices, next_segment_id: 1, @@ -113,6 +118,12 @@ impl MutationEngine { &mut self.pk_index } + /// Where the tombstone the latest bitemporal close of `pk_bytes` wrote + /// lives. `None` for a key never closed. + pub fn closed_location(&self, pk_bytes: &[u8]) -> Option { + self.closed_index.get(pk_bytes).copied() + } + /// Access a segment's delete bitmap. pub fn delete_bitmap(&self, segment_id: u64) -> Option<&DeleteBitmap> { self.delete_bitmaps.get(&segment_id) @@ -274,11 +285,20 @@ impl MutationEngine { /// /// A cut row can carry a tombstone: a later row of the same write /// replaced it. Those tombstones are cleared too, so a row appended - /// later at that index starts live. + /// later at that index starts live. A close whose tombstone row is cut + /// loses its `closed_index` entry. pub(super) fn cut_memtable_to(&mut self, row_count: usize) { if let Some(bm) = self.delete_bitmaps.get_mut(&self.memtable_segment_id) { bm.unmark_from(row_count as u32); } + let memtable_segment_id = self.memtable_segment_id; + self.closed_index + .remap_segment(memtable_segment_id, |row_index| { + ((row_index as usize) < row_count).then_some(RowLocation { + segment_id: memtable_segment_id, + row_index, + }) + }); self.memtable.truncate_to(row_count); self.memtable_surrogates.truncate(row_count); self.memtable_row_counter = row_count as u32; diff --git a/nodedb-columnar/src/mutation/flush.rs b/nodedb-columnar/src/mutation/flush.rs index 3e44c81a3..c799f3ae0 100644 --- a/nodedb-columnar/src/mutation/flush.rs +++ b/nodedb-columnar/src/mutation/flush.rs @@ -11,8 +11,8 @@ use super::engine::{MutationEngine, MutationResult}; impl MutationEngine { /// Notify the engine that the memtable was flushed to a new segment. /// - /// Remaps the PK index entries of the memtable's virtual segment to - /// `new_segment_id` and moves the memtable's delete bitmap with them, so + /// Remaps the PK index and closed-key entries of the memtable's virtual + /// segment to `new_segment_id` and moves the memtable's delete bitmap with them, so /// a row tombstoned while in the memtable stays tombstoned in the /// segment. The virtual segment id itself never changes: it names the /// memtable, not a flushed segment, so no flushed segment can ever share @@ -34,6 +34,13 @@ impl MutationEngine { row_index: old_row, }) }); + self.closed_index + .remap_segment(self.memtable_segment_id, |old_row| { + Some(RowLocation { + segment_id: new_segment_id, + row_index: old_row, + }) + }); if let Some(bitmap) = self.delete_bitmaps.remove(&self.memtable_segment_id) { self.delete_bitmaps.insert(new_segment_id, bitmap); } diff --git a/nodedb-columnar/src/mutation/snapshot.rs b/nodedb-columnar/src/mutation/snapshot.rs index c95d6f744..d7af2deff 100644 --- a/nodedb-columnar/src/mutation/snapshot.rs +++ b/nodedb-columnar/src/mutation/snapshot.rs @@ -119,6 +119,12 @@ pub struct ColumnarEngineSnapshot { pub memtable_surrogates: Vec>, /// Serialised `PkIndex` bytes (via `PkIndex::to_bytes()`). pub pk_index_bytes: Vec, + /// Serialised closed-key index bytes (via `PkIndex::to_bytes()`): each + /// key a bitemporal close unbound, to its tombstone row. Empty when no + /// key was ever closed. + #[msgpack(default)] + #[serde(default)] + pub closed_index_bytes: Vec, /// Serialised delete bitmaps for FLUSHED segments only. /// /// Excludes the entry keyed by `memtable_segment_id`; that is @@ -172,6 +178,11 @@ impl MutationEngine { // Serialise the PK index. let pk_index_bytes = self.pk_index.to_bytes()?; + let closed_index_bytes = if self.closed_index.is_empty() { + Vec::new() + } else { + self.closed_index.to_bytes()? + }; // Partition delete bitmaps: separate the memtable's virtual segment // from flushed-segment bitmaps. @@ -193,6 +204,7 @@ impl MutationEngine { memtable_columns, memtable_surrogates: self.memtable_surrogates.clone(), pk_index_bytes, + closed_index_bytes, delete_bitmaps, memtable_delete_bitmap_bytes, flushed_segments: flushed_segments.to_vec(), @@ -233,6 +245,11 @@ impl MutationEngine { // Rebuild PK index. let pk_index = PkIndex::from_bytes(&snap.pk_index_bytes)?; + let closed_index = if snap.closed_index_bytes.is_empty() { + PkIndex::new() + } else { + PkIndex::from_bytes(&snap.closed_index_bytes)? + }; // Rebuild flushed-segment delete bitmaps. let mut delete_bitmaps: HashMap = HashMap::new(); @@ -276,6 +293,7 @@ impl MutationEngine { schema: snap.schema, memtable, pk_index, + closed_index, delete_bitmaps, pk_col_indices, next_segment_id: snap.next_segment_id, diff --git a/nodedb-columnar/src/mutation/truncate.rs b/nodedb-columnar/src/mutation/truncate.rs index 6849416d8..6f418f8ad 100644 --- a/nodedb-columnar/src/mutation/truncate.rs +++ b/nodedb-columnar/src/mutation/truncate.rs @@ -20,6 +20,7 @@ use super::engine::MutationEngine; pub struct TruncatedRows { memtable: ColumnarMemtable, pk_index: PkIndex, + closed_index: PkIndex, delete_bitmaps: HashMap, memtable_row_counter: u32, memtable_surrogates: Vec>, @@ -46,6 +47,7 @@ impl MutationEngine { TruncatedRows { memtable, pk_index: std::mem::take(&mut self.pk_index), + closed_index: std::mem::take(&mut self.closed_index), delete_bitmaps: std::mem::take(&mut self.delete_bitmaps), memtable_row_counter: std::mem::replace(&mut self.memtable_row_counter, 0), memtable_surrogates: std::mem::take(&mut self.memtable_surrogates), @@ -58,12 +60,14 @@ impl MutationEngine { let TruncatedRows { memtable, pk_index, + closed_index, delete_bitmaps, memtable_row_counter, memtable_surrogates, } = rows; self.memtable = memtable; self.pk_index = pk_index; + self.closed_index = closed_index; self.delete_bitmaps = delete_bitmaps; self.memtable_row_counter = memtable_row_counter; self.memtable_surrogates = memtable_surrogates; diff --git a/nodedb-columnar/src/mutation/write.rs b/nodedb-columnar/src/mutation/write.rs index 915a257ef..1a1905daf 100644 --- a/nodedb-columnar/src/mutation/write.rs +++ b/nodedb-columnar/src/mutation/write.rs @@ -1,6 +1,6 @@ // SPDX-License-Identifier: Apache-2.0 -//! Write-path mutations: insert, insert_if_absent, delete, update. +//! Write-path mutations: insert, insert_if_absent, delete, close, update. use nodedb_types::surrogate::Surrogate; use nodedb_types::value::Value; @@ -174,24 +174,73 @@ impl MutationEngine { .get(&pk_bytes) .copied() .ok_or(ColumnarError::PrimaryKeyNotFound)?; + Ok(self.delete_bound(pk_bytes, location)) + } - // Generate WAL record BEFORE applying. + /// Mark the row `pk_bytes` binds at `location` deleted and unbind it. + fn delete_bound(&mut self, pk_bytes: Vec, location: RowLocation) -> MutationResult { let wal = ColumnarWalRecord::DeleteRows { collection: self.collection.clone(), segment_id: location.segment_id, row_indices: vec![location.row_index], }; - - // Mark in delete bitmap. - let bitmap = self.delete_bitmaps.entry(location.segment_id).or_default(); - bitmap.mark_deleted(location.row_index); - - // Remove from PK index. + self.delete_bitmaps + .entry(location.segment_id) + .or_default() + .mark_deleted(location.row_index); self.pk_index.remove(&pk_bytes); - - Ok(MutationResult { + MutationResult { wal_records: vec![wal], - }) + } + } + + /// Close a key of a bitemporal collection: append `tombstone`, the + /// version that ends the key, and unbind the key. The version the close + /// supersedes stays as history for `AS OF` reads. The tombstone is bound + /// in the closed-key index, so a later write of the key can read its + /// system time. + /// + /// The tombstone keeps the cross-engine surrogate of the row it closes, + /// read as [`Self::update`] reads it. A collection that is not + /// bitemporal keeps no history: the row is deleted as [`Self::delete`] + /// deletes it, and `tombstone` is not written. + /// + /// `PrimaryKeyNotFound` when the tombstone's key is unbound. An invalid + /// tombstone returns an error and leaves the key bound. + pub fn close( + &mut self, + tombstone: &[Value], + flushed_surrogate: Option, + ) -> Result { + let pk_bytes = self.extract_pk_bytes(tombstone)?; + let location = self + .pk_index + .get(&pk_bytes) + .copied() + .ok_or(ColumnarError::PrimaryKeyNotFound)?; + if !self.schema.is_bitemporal() { + return Ok(self.delete_bound(pk_bytes, location)); + } + let surrogate = if location.segment_id == self.memtable_segment_id { + self.memtable_surrogates + .get(location.row_index as usize) + .copied() + .flatten() + } else { + flushed_surrogate + }; + let mut wal_records = Vec::with_capacity(1); + self.commit_row( + tombstone, + pk_bytes.clone(), + surrogate, + &[], + &mut wal_records, + )?; + if let Some(tombstone_location) = self.pk_index.remove(&pk_bytes) { + self.closed_index.upsert(pk_bytes, tombstone_location); + } + Ok(MutationResult { wal_records }) } /// Update a row by PK: DELETE old + INSERT new. @@ -201,7 +250,10 @@ impl MutationEngine { /// /// Returns WAL records for both the delete and the insert. The old row /// is tombstoned only after the new row is appended, so an invalid new - /// row returns an error and leaves the old row live. + /// row returns an error and leaves the old row live. A bitemporal + /// collection tombstones nothing: the old row stays as the version the + /// update superseded, visible to `AS OF` reads, and the PK index binds + /// the new row. /// /// NOTE: The caller must provide the full old row values for the re-insert. /// This method takes the complete new row (already merged with old values). @@ -216,6 +268,36 @@ impl MutationEngine { old_pk: &Value, new_values: &[Value], flushed_surrogate: Option, + ) -> Result { + self.update_row(old_pk, new_values, None, flushed_surrogate) + } + + /// [`Self::update`] for a key-changing update of a bitemporal + /// collection: the old key closes with `tombstone` as [`Self::close`] + /// closes a key, so a current read finds no row under it. The tombstone + /// is appended before the new row. When the new row is refused, the + /// tombstone is cut and the old key is bound again, so an error leaves + /// the engine unchanged. + /// + /// An update that keeps its key, or a collection that is not + /// bitemporal, writes no tombstone and runs as [`Self::update`]. + pub fn update_closing( + &mut self, + old_pk: &Value, + new_values: &[Value], + tombstone: &[Value], + flushed_surrogate: Option, + ) -> Result { + self.update_row(old_pk, new_values, Some(tombstone), flushed_surrogate) + } + + /// Shared body of [`Self::update`] and [`Self::update_closing`]. + fn update_row( + &mut self, + old_pk: &Value, + new_values: &[Value], + tombstone: Option<&[Value]>, + flushed_surrogate: Option, ) -> Result { let old_pk_bytes = encode_pk(old_pk); let old_location = self @@ -235,11 +317,14 @@ impl MutationEngine { let new_pk_bytes = self.extract_pk_bytes(new_values)?; let pk_changed = new_pk_bytes != old_pk_bytes; - // The old row is always tombstoned. When the PK changes, a + // A non-bitemporal old row is tombstoned. When the PK changes, a // non-bitemporal row already bound to the new PK is replaced too, - // as an upsert replaces it. + // as an upsert replaces it. A bitemporal collection keeps both as + // history. let mut replaced = Vec::with_capacity(2); - replaced.push(old_location); + if !self.schema.is_bitemporal() { + replaced.push(old_location); + } if pk_changed && !self.schema.is_bitemporal() && let Some(prior) = self.pk_index.get(&new_pk_bytes).copied() @@ -247,7 +332,36 @@ impl MutationEngine { replaced.push(prior); } - let mut wal_records = Vec::with_capacity(replaced.len() + 1); + let mut wal_records = Vec::with_capacity(replaced.len() + 2); + let closing = tombstone.filter(|_| pk_changed && self.schema.is_bitemporal()); + if let Some(tombstone) = closing { + let row_count_before = self.memtable.row_count(); + self.commit_row( + tombstone, + old_pk_bytes.clone(), + surrogate, + &[], + &mut wal_records, + )?; + if let Err(error) = self.commit_row( + new_values, + new_pk_bytes, + surrogate, + &replaced, + &mut wal_records, + ) { + self.rollback_memtable_inserts( + row_count_before, + &[], + &[(old_pk_bytes, old_location)], + ); + return Err(error); + } + if let Some(tombstone_location) = self.pk_index.remove(&old_pk_bytes) { + self.closed_index.upsert(old_pk_bytes, tombstone_location); + } + return Ok(MutationResult { wal_records }); + } self.commit_row( new_values, new_pk_bytes, @@ -388,4 +502,136 @@ mod tests { assert!(!engine.pk_index().contains(&encode_pk(&Value::Integer(1)))); assert!(engine.pk_index().contains(&encode_pk(&Value::Integer(2)))); } + + /// A bitemporal update keeps the version it supersedes: no tombstone, no + /// delete record, and the PK index binds the new version. + #[test] + fn a_bitemporal_update_keeps_the_superseded_version() { + let schema = ColumnarSchema::new(vec![ + ColumnDef::required("_ts_system", ColumnType::Int64), + ColumnDef::required("id", ColumnType::Int64).with_primary_key(), + ColumnDef::required("v", ColumnType::Int64), + ]) + .expect("valid"); + let mut engine = MutationEngine::new("t".into(), schema); + let version = + |ts: i64, v: i64| vec![Value::Integer(ts), Value::Integer(1), Value::Integer(v)]; + engine.insert(&version(100, 10)).expect("insert"); + + let result = engine + .update(&Value::Integer(1), &version(200, 20), None) + .expect("update"); + assert_eq!( + result.wal_records.len(), + 1, + "an insert record, no delete record" + ); + + assert_eq!(live_rows(&engine), vec![version(100, 10), version(200, 20)]); + let bound = engine + .pk_index() + .get(&encode_pk(&Value::Integer(1))) + .copied() + .expect("bound"); + assert_eq!(bound.row_index, 1, "the PK binds the new version"); + } + + /// A bitemporal close appends the tombstone, keeps the closed version, + /// unbinds the key and binds the tombstone in the closed-key index. A + /// flush carries the closed-key entry to the new segment. + #[test] + fn a_bitemporal_close_keeps_the_closed_version() { + let schema = ColumnarSchema::new(vec![ + ColumnDef::required("_ts_system", ColumnType::Int64), + ColumnDef::required("id", ColumnType::Int64).with_primary_key(), + ColumnDef::required("v", ColumnType::Int64), + ]) + .expect("valid"); + let mut engine = MutationEngine::new("t".into(), schema); + let version = + |ts: i64, v: i64| vec![Value::Integer(ts), Value::Integer(1), Value::Integer(v)]; + engine.insert(&version(100, 10)).expect("insert"); + + let result = engine.close(&version(200, 10), None).expect("close"); + assert_eq!( + result.wal_records.len(), + 1, + "an insert record, no delete record" + ); + + assert_eq!(live_rows(&engine), vec![version(100, 10), version(200, 10)]); + let pk = encode_pk(&Value::Integer(1)); + assert!( + !engine.pk_index().contains(&pk), + "the closed key is unbound" + ); + assert_eq!(engine.closed_location(&pk).map(|l| l.row_index), Some(1)); + assert!(matches!( + engine.close(&version(300, 10), None), + Err(ColumnarError::PrimaryKeyNotFound) + )); + + let segment_id = engine.next_segment_id(); + engine.on_memtable_flushed(segment_id).expect("flush"); + assert_eq!( + engine.closed_location(&pk), + Some(RowLocation { + segment_id, + row_index: 1 + }) + ); + } + + /// A key-changing bitemporal update closes the old key with its + /// tombstone, keeps the old version, and binds the new key. A refused + /// new row leaves the engine unchanged. + #[test] + fn a_key_changing_bitemporal_update_closes_the_old_key() { + let schema = ColumnarSchema::new(vec![ + ColumnDef::required("_ts_system", ColumnType::Int64), + ColumnDef::required("id", ColumnType::Int64).with_primary_key(), + ColumnDef::required("v", ColumnType::Int64), + ]) + .expect("valid"); + let mut engine = MutationEngine::new("t".into(), schema); + let row = |ts: i64, id: i64, v: i64| { + vec![Value::Integer(ts), Value::Integer(id), Value::Integer(v)] + }; + engine.insert(&row(100, 1, 10)).expect("insert"); + + let refused = engine.update_closing( + &Value::Integer(1), + &[Value::Integer(200), Value::Integer(2), Value::Null], + &row(200, 1, 10), + None, + ); + assert!(refused.is_err()); + assert_eq!(live_rows(&engine), vec![row(100, 1, 10)]); + let old = encode_pk(&Value::Integer(1)); + assert_eq!(engine.pk_index().get(&old).map(|l| l.row_index), Some(0)); + assert_eq!(engine.closed_location(&old), None); + + engine + .update_closing(&Value::Integer(1), &row(200, 2, 10), &row(200, 1, 10), None) + .expect("update"); + assert_eq!( + live_rows(&engine), + vec![row(100, 1, 10), row(200, 1, 10), row(200, 2, 10)] + ); + assert!(!engine.pk_index().contains(&old)); + assert_eq!(engine.closed_location(&old).map(|l| l.row_index), Some(1)); + let new = encode_pk(&Value::Integer(2)); + assert_eq!(engine.pk_index().get(&new).map(|l| l.row_index), Some(2)); + } + + /// A close on a collection that is not bitemporal deletes the row. + #[test] + fn a_plain_close_deletes_the_row() { + let mut engine = MutationEngine::new("t".into(), schema()); + engine.insert(&row(1, "a", 0.5)).expect("insert"); + engine.close(&row(1, "a", 0.5), None).expect("close"); + assert!(live_rows(&engine).is_empty()); + assert!(engine.pk_index().is_empty()); + assert_eq!(engine.closed_location(&encode_pk(&Value::Integer(1))), None); + } } diff --git a/nodedb-columnar/src/reader/cell.rs b/nodedb-columnar/src/reader/cell.rs index fab8d5f6e..0b785aba1 100644 --- a/nodedb-columnar/src/reader/cell.rs +++ b/nodedb-columnar/src/reader/cell.rs @@ -99,10 +99,11 @@ fn cell_bytes<'a>(data: &'a [u8], offsets: &[u32], row: usize) -> Result<&'a [u8 /// A binary cell as the `Value` the memtable reads for `declared`. fn binary_cell_value(bytes: &[u8], declared: &ColumnType) -> Result { Ok(match declared { - ColumnType::String - | ColumnType::Regex - | ColumnType::SparseVector - | ColumnType::Geometry => Value::String(utf8(bytes, declared)?.to_owned()), + ColumnType::String | ColumnType::Regex | ColumnType::SparseVector => { + Value::String(utf8(bytes, declared)?.to_owned()) + } + ColumnType::Geometry => nodedb_spatial::value_of_ewkb(bytes) + .map_err(|e| corruption(crate::geometry_cell::not_ewkb(e)))?, ColumnType::Bytes | ColumnType::Array | ColumnType::Set @@ -308,7 +309,12 @@ mod tests { let first = &expected[1]; assert_eq!(first[10], Value::Uuid(uuid::Uuid::from_u128(2).to_string())); assert_eq!(first[11], Value::Ulid(ulid_text(1))); - assert_eq!(first[12], Value::String("POINT(1 1)".into())); + assert_eq!( + first[12], + Value::Geometry(nodedb_types::geometry::SridGeometry::wgs84( + nodedb_types::geometry::Geometry::point(1.0, 1.0) + )) + ); assert_eq!(first[15], Value::Integer(3)); assert_eq!(first[16], Value::String("^r1$".into())); assert_eq!(expected[4][10], Value::Null); @@ -328,6 +334,7 @@ mod tests { ColumnType::Ulid, ColumnType::Decimal(None), ColumnType::Vector(2), + ColumnType::Geometry, ] { assert!( decoded_cell_value(&col, 0, &ty).is_err(), diff --git a/nodedb-columnar/src/writer/segment_writer.rs b/nodedb-columnar/src/writer/segment_writer.rs index beab51176..dd3d13c36 100644 --- a/nodedb-columnar/src/writer/segment_writer.rs +++ b/nodedb-columnar/src/writer/segment_writer.rs @@ -171,12 +171,11 @@ fn select_codec(col_type: &ColumnType) -> ResolvedColumnCodec { ColumnType::Timestamp | ColumnType::Timestamptz | ColumnType::SystemTimestamp => { ColumnTypeHint::Timestamp } - ColumnType::String - | ColumnType::Geometry - | ColumnType::Regex - | ColumnType::SparseVector => ColumnTypeHint::String, + ColumnType::String | ColumnType::Regex | ColumnType::SparseVector => ColumnTypeHint::String, + // Geometry cells are EWKB bytes. ColumnType::Bool | ColumnType::Bytes + | ColumnType::Geometry | ColumnType::Decimal { .. } | ColumnType::Uuid | ColumnType::Ulid => { diff --git a/nodedb-crdt/Cargo.toml b/nodedb-crdt/Cargo.toml index 5cba16cb5..b1279cbca 100644 --- a/nodedb-crdt/Cargo.toml +++ b/nodedb-crdt/Cargo.toml @@ -21,6 +21,7 @@ serde = { workspace = true } zerompk = { workspace = true } nodedb-types = { workspace = true } nodedb-query = { workspace = true } +nodedb-crs = { workspace = true } sha2 = { workspace = true } hmac = { workspace = true } hkdf = { workspace = true } diff --git a/nodedb-crdt/src/constraint_checks.rs b/nodedb-crdt/src/constraint_checks.rs index 100cad89e..578b7b69c 100644 --- a/nodedb-crdt/src/constraint_checks.rs +++ b/nodedb-crdt/src/constraint_checks.rs @@ -39,6 +39,7 @@ impl Validator { state: &impl RowLookup, change: &ProposedChange, constraint: &Constraint, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result, nodedb_query::EvalError> { match &constraint.kind { ConstraintKind::Unique => Ok(self.check_unique(state, change, constraint)), @@ -51,7 +52,7 @@ impl Validator { ref_key, } => Ok(self.check_foreign_key(state, change, constraint, ref_collection, ref_key)), ConstraintKind::NotNull => Ok(self.check_not_null(change, constraint)), - ConstraintKind::Check { expr, .. } => self.check_expr(change, constraint, expr), + ConstraintKind::Check { expr, .. } => self.check_expr(change, constraint, expr, crs), } } @@ -66,6 +67,7 @@ impl Validator { change: &ProposedChange, constraint: &Constraint, expr: &str, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result, nodedb_query::EvalError> { // Build a row Value::Object from the proposed change's fields so the // expression evaluator can resolve column references by name. @@ -100,7 +102,7 @@ impl Validator { // `ValidationOutcome::EvalError`. That keeps it out of the conflict- // policy machinery: an unevaluable predicate is a hard SQLSTATE-22012 // failure, never something LastWriterWins et al. may "resolve". - match parsed.eval(&row_value) { + match parsed.eval(&row_value, crs) { Ok(nodedb_types::Value::Bool(true)) => Ok(None), Ok(nodedb_types::Value::Null) => Ok(None), Ok(_) => Ok(Some(Violation { diff --git a/nodedb-crdt/src/pre_validate.rs b/nodedb-crdt/src/pre_validate.rs index 07272e71c..1e2d6fb80 100644 --- a/nodedb-crdt/src/pre_validate.rs +++ b/nodedb-crdt/src/pre_validate.rs @@ -35,8 +35,9 @@ pub fn pre_validate( validator: &Validator, state: &impl RowLookup, change: &ProposedChange, + crs: &nodedb_crs::CrsContext<'_>, ) -> PreValidationResult { - match validator.validate(state, change) { + match validator.validate(state, change, crs) { ValidationOutcome::Accepted => PreValidationResult::Proceed, ValidationOutcome::Rejected(violations) => { let v = &violations[0]; @@ -79,7 +80,12 @@ mod tests { fields: vec![("email".into(), LoroValue::String("a@b.com".into()))], }; - match pre_validate(&validator, &state, &change) { + match pre_validate( + &validator, + &state, + &change, + &nodedb_crs::CrsContext::builtin_only(), + ) { PreValidationResult::FastReject { constraint, .. } => { assert_eq!(constraint, "name_nn"); } @@ -102,7 +108,12 @@ mod tests { }; assert!(matches!( - pre_validate(&validator, &state, &change), + pre_validate( + &validator, + &state, + &change, + &nodedb_crs::CrsContext::builtin_only() + ), PreValidationResult::Proceed )); } diff --git a/nodedb-crdt/src/state/core.rs b/nodedb-crdt/src/state/core.rs index 93ef1a2ba..13f99e45d 100644 --- a/nodedb-crdt/src/state/core.rs +++ b/nodedb-crdt/src/state/core.rs @@ -450,6 +450,16 @@ impl CrdtState { pub fn peer_id(&self) -> u64 { self.peer_id } + + /// Mint every later operation under `peer_id`. Operations already in the + /// document keep the ids they were minted with. + pub fn set_peer_id(&mut self, peer_id: u64) -> Result<()> { + self.doc + .set_peer_id(peer_id) + .map_err(|e| CrdtError::Loro(format!("failed to set peer_id {peer_id}: {e}")))?; + self.peer_id = peer_id; + Ok(()) + } } impl RowLookup for CrdtState { diff --git a/nodedb-crdt/src/validator/incoming.rs b/nodedb-crdt/src/validator/incoming.rs new file mode 100644 index 000000000..5ade5c290 --- /dev/null +++ b/nodedb-crdt/src/validator/incoming.rs @@ -0,0 +1,14 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Incoming delta parameters for policy-aware validation. + +use crate::CrdtAuthContext; + +/// The delta a peer sends, with who sent it and when. +pub struct IncomingDelta { + pub peer_id: u64, + pub auth: CrdtAuthContext, + pub delta_bytes: Vec, + /// Hybrid Logical Clock timestamp of the incoming write. + pub hlc_timestamp: u64, +} diff --git a/nodedb-crdt/src/validator/mod.rs b/nodedb-crdt/src/validator/mod.rs index f5836d9e0..8bdeef48f 100644 --- a/nodedb-crdt/src/validator/mod.rs +++ b/nodedb-crdt/src/validator/mod.rs @@ -9,9 +9,11 @@ pub mod bitemporal; mod core; +pub mod incoming; mod policy_dispatch; mod types; mod validate; pub use core::Validator; +pub use incoming::IncomingDelta; pub use types::{ProposedChange, ValidationOutcome, Violation}; diff --git a/nodedb-crdt/src/validator/policy_dispatch.rs b/nodedb-crdt/src/validator/policy_dispatch.rs index cfbde7a0a..9f57874af 100644 --- a/nodedb-crdt/src/validator/policy_dispatch.rs +++ b/nodedb-crdt/src/validator/policy_dispatch.rs @@ -2,7 +2,6 @@ //! Policy resolution dispatch for validation violations. -use crate::CrdtAuthContext; use crate::constraint::{Constraint, ConstraintKind}; use crate::dead_letter::CompensationHint; use crate::error::Result; @@ -10,6 +9,7 @@ use crate::policy::{ConflictPolicy, PolicyResolution, ResolvedAction}; use crate::row_lookup::RowLookup; use super::core::Validator; +use super::incoming::IncomingDelta; use super::types::{ProposedChange, ValidationOutcome, Violation}; impl Validator { @@ -21,10 +21,9 @@ impl Validator { /// # Arguments /// /// * `state` — current CRDT state - /// * `peer_id` — source peer ID /// * `change` — proposed change - /// * `delta_bytes` — raw delta bytes - /// * `hlc_timestamp` — Hybrid Logical Clock timestamp of the incoming write + /// * `incoming` — source peer ID, auth context, raw delta bytes, and HLC timestamp + /// * `crs` — coordinate reference system context /// /// Returns: /// - `Ok(PolicyResolution::AutoResolved(_))` if the policy auto-fixed the violation @@ -35,13 +34,17 @@ impl Validator { pub fn validate_with_policy( &mut self, state: &impl RowLookup, - peer_id: u64, - auth: CrdtAuthContext, change: &ProposedChange, - delta_bytes: Vec, - hlc_timestamp: u64, + incoming: IncomingDelta, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result { - match self.validate(state, change) { + let IncomingDelta { + peer_id, + auth, + delta_bytes, + hlc_timestamp, + } = incoming; + match self.validate(state, change, crs) { ValidationOutcome::Accepted => { // No violation; return synthetic "auto-resolved" to maintain API consistency Ok(PolicyResolution::AutoResolved( @@ -255,6 +258,7 @@ mod tests { use loro::LoroValue; use super::*; + use crate::CrdtAuthContext; use crate::constraint::ConstraintSet; use crate::state::CrdtState; @@ -294,11 +298,14 @@ mod tests { let resolution = validator .validate_with_policy( &state, - 42, - CrdtAuthContext::default(), &change, - b"delta".to_vec(), - now, + IncomingDelta { + peer_id: 42, + auth: CrdtAuthContext::default(), + delta_bytes: b"delta".to_vec(), + hlc_timestamp: now, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); @@ -350,11 +357,14 @@ mod tests { let resolution = validator .validate_with_policy( &state, - 42, - CrdtAuthContext::default(), &change, - b"delta".to_vec(), - now, + IncomingDelta { + peer_id: 42, + auth: CrdtAuthContext::default(), + delta_bytes: b"delta".to_vec(), + hlc_timestamp: now, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); @@ -395,11 +405,14 @@ mod tests { let resolution = validator .validate_with_policy( &state, - 42, - CrdtAuthContext::default(), &change, - b"delta".to_vec(), - now, + IncomingDelta { + peer_id: 42, + auth: CrdtAuthContext::default(), + delta_bytes: b"delta".to_vec(), + hlc_timestamp: now, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); @@ -443,11 +456,14 @@ mod tests { let resolution = validator .validate_with_policy( &state, - 42, - CrdtAuthContext::default(), &change, - b"delta".to_vec(), - now, + IncomingDelta { + peer_id: 42, + auth: CrdtAuthContext::default(), + delta_bytes: b"delta".to_vec(), + hlc_timestamp: now, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); diff --git a/nodedb-crdt/src/validator/validate.rs b/nodedb-crdt/src/validator/validate.rs index 1870bad1f..5f98bfe97 100644 --- a/nodedb-crdt/src/validator/validate.rs +++ b/nodedb-crdt/src/validator/validate.rs @@ -8,6 +8,7 @@ use crate::policy::PolicyResolution; use crate::row_lookup::RowLookup; use super::core::Validator; +use super::incoming::IncomingDelta; use super::types::{ProposedChange, ValidationOutcome, Violation}; /// Convert the first violation into a [`CrdtError::ConstraintViolation`], appending @@ -77,13 +78,19 @@ impl Validator { /// Validate a proposed change against all applicable constraints. /// /// Returns `Accepted` if all constraints pass, or `Rejected` with - /// detailed violation information. - pub fn validate(&self, state: &impl RowLookup, change: &ProposedChange) -> ValidationOutcome { + /// detailed violation information. CHECK predicates resolve SRIDs + /// through `crs`. + pub fn validate( + &self, + state: &impl RowLookup, + change: &ProposedChange, + crs: &nodedb_crs::CrsContext<'_>, + ) -> ValidationOutcome { let constraints = self.constraints.for_collection(&change.collection); let mut violations = Vec::new(); for constraint in constraints { - match self.check_constraint(state, change, constraint) { + match self.check_constraint(state, change, constraint, crs) { Ok(Some(violation)) => violations.push(violation), Ok(None) => {} // A predicate that could not be evaluated (division/modulo by @@ -129,6 +136,7 @@ impl Validator { auth: CrdtAuthContext, change: &ProposedChange, delta_bytes: Vec, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result<()> { // Check auth expiry: agents that accumulated deltas offline must // re-authenticate before syncing. @@ -152,7 +160,17 @@ impl Validator { .unwrap_or_default() .as_millis() as u64; - match self.validate_with_policy(state, peer_id, auth, change, delta_bytes, hlc_timestamp)? { + match self.validate_with_policy( + state, + change, + IncomingDelta { + peer_id, + auth, + delta_bytes, + hlc_timestamp, + }, + crs, + )? { PolicyResolution::AutoResolved(_) => Ok(()), PolicyResolution::Deferred { violations, .. } => { // Violation was deferred for retry; return error to signal this. @@ -208,7 +226,7 @@ mod tests { }; assert!(matches!( - validator.validate(&state, &change), + validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()), ValidationOutcome::Accepted )); } @@ -229,7 +247,7 @@ mod tests { )], }; - match validator.validate(&state, &change) { + match validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()) { ValidationOutcome::Rejected(v) => { assert_eq!(v.len(), 1); assert_eq!(v[0].constraint_name, "users_name_nn"); @@ -254,7 +272,7 @@ mod tests { fields: vec![("author_id".into(), LoroValue::String("u1".into()))], }; - match validator.validate(&state, &change) { + match validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()) { ValidationOutcome::Rejected(v) => { assert_eq!(v[0].constraint_name, "posts_author_fk"); assert!(matches!( @@ -290,7 +308,7 @@ mod tests { }; assert!(matches!( - validator.validate(&state, &change), + validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()), ValidationOutcome::Accepted )); } @@ -318,6 +336,7 @@ mod tests { CrdtAuthContext::default(), &change, b"delta-bytes".to_vec(), + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap_err(); @@ -344,7 +363,7 @@ mod tests { }; assert!(matches!( - validator.validate(&state, &change), + validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()), ValidationOutcome::Accepted )); } @@ -363,7 +382,7 @@ mod tests { fields: vec![("age".into(), LoroValue::I64(-1))], }; - match validator.validate(&state, &change) { + match validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()) { ValidationOutcome::Rejected(v) => { assert_eq!(v.len(), 1); assert_eq!(v[0].constraint_name, "people_age_check"); @@ -390,7 +409,7 @@ mod tests { fields: vec![("age".into(), LoroValue::I64(5))], }; - match validator.validate(&state, &change) { + match validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()) { ValidationOutcome::Rejected(v) => { assert_eq!(v.len(), 1); assert_eq!(v[0].constraint_name, "people_age_check"); @@ -425,7 +444,7 @@ mod tests { fields: vec![("age".into(), LoroValue::I64(0))], }; - match validator.validate(&state, &change) { + match validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()) { ValidationOutcome::EvalError { constraint_name, error, @@ -468,6 +487,7 @@ mod signing_tests { CrdtAuthContext::default(), &change(), b"delta".to_vec(), + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap_err(); assert!(matches!(error, CrdtError::InvalidSignature { .. })); @@ -483,7 +503,14 @@ mod signing_tests { }; let error = validator - .validate_or_reject(&state, 2, auth, &change(), b"delta".to_vec()) + .validate_or_reject( + &state, + 2, + auth, + &change(), + b"delta".to_vec(), + &nodedb_crs::CrsContext::builtin_only(), + ) .unwrap_err(); assert!(matches!(error, CrdtError::InvalidSignature { .. })); } diff --git a/nodedb-crdt/tests/constraint_resolution/cascade_defer.rs b/nodedb-crdt/tests/constraint_resolution/cascade_defer.rs index 965c2a56a..e84944022 100644 --- a/nodedb-crdt/tests/constraint_resolution/cascade_defer.rs +++ b/nodedb-crdt/tests/constraint_resolution/cascade_defer.rs @@ -5,7 +5,7 @@ use loro::LoroValue; use nodedb_crdt::policy::{PolicyResolution, ResolvedAction}; use nodedb_crdt::state::CrdtState; -use nodedb_crdt::validator::Validator; +use nodedb_crdt::validator::{IncomingDelta, Validator}; use crate::common::{AuthCtx, cascade_defer_policy, post_change, schema, wall_now_ms}; @@ -27,11 +27,14 @@ fn cascade_defer_succeeds_when_parent_arrives_before_ttl() { let r = validator .validate_with_policy( &leader, - 42, - AuthCtx::default(), &post, - b"post-delta".to_vec(), - started_ms, + IncomingDelta { + peer_id: 42, + auth: AuthCtx::default(), + delta_bytes: b"post-delta".to_vec(), + hlc_timestamp: started_ms, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); match r { @@ -65,11 +68,14 @@ fn cascade_defer_succeeds_when_parent_arrives_before_ttl() { let r2 = validator .validate_with_policy( &leader, - 42, - AuthCtx::default(), &post, - b"post-delta".to_vec(), - retry_now, + IncomingDelta { + peer_id: 42, + auth: AuthCtx::default(), + delta_bytes: b"post-delta".to_vec(), + hlc_timestamp: retry_now, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); assert!( @@ -101,11 +107,14 @@ fn cascade_defer_expires_to_dlq_when_parent_never_arrives() { let r = validator .validate_with_policy( &leader, - 42, - AuthCtx::default(), &post_change("post-orphan", "ghost-user"), - b"orphan-delta".to_vec(), - started_ms, + IncomingDelta { + peer_id: 42, + auth: AuthCtx::default(), + delta_bytes: b"orphan-delta".to_vec(), + hlc_timestamp: started_ms, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); assert!(matches!(r, PolicyResolution::Deferred { .. })); diff --git a/nodedb-crdt/tests/constraint_resolution/fk_chain.rs b/nodedb-crdt/tests/constraint_resolution/fk_chain.rs index ea44f1221..f857f66de 100644 --- a/nodedb-crdt/tests/constraint_resolution/fk_chain.rs +++ b/nodedb-crdt/tests/constraint_resolution/fk_chain.rs @@ -7,7 +7,7 @@ use nodedb_crdt::policy::{ CollectionPolicy, ConflictPolicy, PolicyRegistry, PolicyResolution, ResolvedAction, }; use nodedb_crdt::state::CrdtState; -use nodedb_crdt::validator::Validator; +use nodedb_crdt::validator::{IncomingDelta, Validator}; use crate::common::{AuthCtx, post_change, schema, user_change, wall_now_ms}; @@ -36,11 +36,14 @@ fn fk_chain_child_arrives_before_parent_then_resolves() { let r_post = validator .validate_with_policy( &leader, - 1, - AuthCtx::default(), &post, - b"post-delta".to_vec(), - started_ms, + IncomingDelta { + peer_id: 1, + auth: AuthCtx::default(), + delta_bytes: b"post-delta".to_vec(), + hlc_timestamp: started_ms, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); assert!(matches!(r_post, PolicyResolution::Deferred { .. })); @@ -50,11 +53,14 @@ fn fk_chain_child_arrives_before_parent_then_resolves() { let r_user = validator .validate_with_policy( &leader, - 2, - AuthCtx::default(), &user, - b"user-delta".to_vec(), - started_ms + 50, + IncomingDelta { + peer_id: 2, + auth: AuthCtx::default(), + delta_bytes: b"user-delta".to_vec(), + hlc_timestamp: started_ms + 50, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); assert!( @@ -85,11 +91,14 @@ fn fk_chain_child_arrives_before_parent_then_resolves() { let r_retry = validator .validate_with_policy( &leader, - 1, - AuthCtx::default(), &post, - b"post-delta".to_vec(), - retry_now, + IncomingDelta { + peer_id: 1, + auth: AuthCtx::default(), + delta_bytes: b"post-delta".to_vec(), + hlc_timestamp: retry_now, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); assert!( diff --git a/nodedb-crdt/tests/constraint_resolution/unique_rename.rs b/nodedb-crdt/tests/constraint_resolution/unique_rename.rs index 4f71c846d..302225794 100644 --- a/nodedb-crdt/tests/constraint_resolution/unique_rename.rs +++ b/nodedb-crdt/tests/constraint_resolution/unique_rename.rs @@ -7,7 +7,7 @@ use loro::LoroValue; use nodedb_crdt::policy::{PolicyResolution, ResolvedAction}; use nodedb_crdt::state::CrdtState; -use nodedb_crdt::validator::Validator; +use nodedb_crdt::validator::{IncomingDelta, Validator}; use crate::common::{AuthCtx, rename_suffix_policy, schema, user_change}; @@ -27,11 +27,14 @@ fn multi_agent_unique_rename_advances_suffix_monotonically() { let r_a = validator .validate_with_policy( &leader, - 1, - AuthCtx::default(), &user_change("user-a", "Alice", "alice@example.com"), - b"delta-a".to_vec(), - now_ms, + IncomingDelta { + peer_id: 1, + auth: AuthCtx::default(), + delta_bytes: b"delta-a".to_vec(), + hlc_timestamp: now_ms, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); assert!( @@ -58,11 +61,14 @@ fn multi_agent_unique_rename_advances_suffix_monotonically() { let r_b = validator .validate_with_policy( &leader, - 2, - AuthCtx::default(), &user_change("user-b", "Bob", "alice@example.com"), - b"delta-b".to_vec(), - now_ms + 100, + IncomingDelta { + peer_id: 2, + auth: AuthCtx::default(), + delta_bytes: b"delta-b".to_vec(), + hlc_timestamp: now_ms + 100, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); let suffix_b = match r_b { @@ -101,11 +107,14 @@ fn multi_agent_unique_rename_advances_suffix_monotonically() { let r_c = validator .validate_with_policy( &leader, - 3, - AuthCtx::default(), &user_change("user-c", "Carol", "alice@example.com"), - b"delta-c".to_vec(), - now_ms + 200, + IncomingDelta { + peer_id: 3, + auth: AuthCtx::default(), + delta_bytes: b"delta-c".to_vec(), + hlc_timestamp: now_ms + 200, + }, + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap(); let suffix_c = match r_c { diff --git a/nodedb-crdt/tests/crdt_sql_paradox.rs b/nodedb-crdt/tests/crdt_sql_paradox.rs index a35d5b1ae..76fc3cc10 100644 --- a/nodedb-crdt/tests/crdt_sql_paradox.rs +++ b/nodedb-crdt/tests/crdt_sql_paradox.rs @@ -57,7 +57,11 @@ fn split_brain_unique_violation_with_compensation() { }; assert!(matches!( - validator.validate(&leader_state, &agent_b_change), + validator.validate( + &leader_state, + &agent_b_change, + &nodedb_crs::CrsContext::builtin_only() + ), ValidationOutcome::Accepted )); @@ -94,6 +98,7 @@ fn split_brain_unique_violation_with_compensation() { nodedb_crdt::CrdtAuthContext::default(), &agent_a_change, b"agent-a-delta".to_vec(), + &nodedb_crs::CrsContext::builtin_only(), ); assert!(result.is_err()); @@ -129,7 +134,11 @@ fn split_brain_unique_violation_with_compensation() { // The retry succeeds. assert!(matches!( - validator.validate(&leader_state, &retry_change), + validator.validate( + &leader_state, + &retry_change, + &nodedb_crs::CrsContext::builtin_only() + ), ValidationOutcome::Accepted )); assert!(validator.dlq().is_empty()); @@ -161,6 +170,7 @@ fn offline_agent_references_deleted_user() { nodedb_crdt::CrdtAuthContext::default(), &change, b"post-delta".to_vec(), + &nodedb_crs::CrsContext::builtin_only(), ); assert!(result.is_err()); @@ -214,7 +224,12 @@ fn pre_validation_saves_raft_roundtrip() { ], }; - match pre_validate::pre_validate(&validator, &leader_state, &change) { + match pre_validate::pre_validate( + &validator, + &leader_state, + &change, + &nodedb_crs::CrsContext::builtin_only(), + ) { PreValidationResult::FastReject { constraint, .. } => { assert_eq!(constraint, "users_email_unique"); } @@ -275,7 +290,7 @@ fn not_null_violation_hints_provide_field() { ], }; - match validator.validate(&state, &change) { + match validator.validate(&state, &change, &nodedb_crs::CrsContext::builtin_only()) { ValidationOutcome::Rejected(violations) => { assert_eq!(violations.len(), 1); match &violations[0].hint { diff --git a/nodedb-crs/Cargo.toml b/nodedb-crs/Cargo.toml new file mode 100644 index 000000000..9d2be1fcf --- /dev/null +++ b/nodedb-crs/Cargo.toml @@ -0,0 +1,23 @@ +[package] +name = "nodedb-crs" +description = "Coordinate reference systems for NodeDB: EPSG registry, PROJ-string parsing, projections and datum shifts" +version.workspace = true +edition.workspace = true +rust-version.workspace = true +license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] +readme = "README.md" +repository.workspace = true +homepage.workspace = true +documentation = "https://docs.rs/nodedb-crs" +keywords = ["crs", "epsg", "projection", "geodesy", "proj"] +categories = ["science::geo"] + +[features] +default = [] + +[dependencies] +nodedb-srid = { workspace = true } +thiserror = { workspace = true } +serde = { workspace = true } +zerompk = { workspace = true } diff --git a/nodedb-crs/NOTICE b/nodedb-crs/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-crs/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-crs/README.md b/nodedb-crs/README.md new file mode 100644 index 000000000..f9ec4240f --- /dev/null +++ b/nodedb-crs/README.md @@ -0,0 +1,82 @@ +# `nodedb-crs` + +> Coordinate reference systems for NodeDB: an EPSG registry, user-defined CRSs, PROJ-string, WKT2 and PROJJSON text, map projections and datum shifts. + +Pure Rust with no I/O and no native dependency, so it builds for `wasm32-unknown-unknown`. NodeDB Origin and Lite resolve and transform every SRID through it. + +## What it does + +- `CrsContext` resolves an SRID to a `CrsDef`: user-defined CRSs first, then the built-in table. +- `Transformer` maps coordinates between two definitions through ECEF. `apply` runs each time-dependent datum shift at its parameter reference epoch. `apply_at` takes a `CoordinateEpoch`, a decimal year in 1900..=2200. +- `parse_proj_string`, `parse_wkt2` and `parse_projjson` read a definition. `CrsDef::to_proj_string`, `to_wkt2` and `to_projjson` write one back, and a round trip reads back the same definition. +- `CustomCrsSet` holds user-defined CRSs (`CREATE SPATIAL_REF_SYS`). A dropped code stays a tombstone and is never reused. + +The SRID type and the `SridResolver` trait live in `nodedb-srid`, which carries no table. A crate that only stores SRIDs depends on `nodedb-srid` and never links the EPSG table. + +## Supported CRSs + +| Range | Authority | Contents | +|---|---|---| +| 1 to 899 999 | EPSG | 5 916 geographic and projected CRSs from EPSG v12.029 | +| 12287, 25314 to 25322 | EPSG | GDM2020 and its nine state Cassini grids, from EPSG change 2026.081 (`data/epsg_supplement.tsv`) | +| 910 000 to 989 999 | user | `CREATE SPATIAL_REF_SYS` definitions | +| 990 001 | NodeDB | MODIS sinusoidal grid (SR-ORG:6842) | +| 990 002 | NodeDB | Himawari geostationary view, 140.7° E | + +Projection methods: Transverse Mercator and UTM, Hotine Oblique Mercator (variants A and B), Cassini-Soldner (and hyperbolic), Mercator (variants A and B), Pseudo-Mercator, Lambert Cylindrical Equal Area, Sinusoidal, Geostationary Satellite, Lambert Conic Conformal (1SP and 2SP), Polar and oblique Stereographic, UPS, Albers Equal Area, Lambert Azimuthal Equal Area, Krovak (and modified), Swiss Oblique Mercator, American Polyconic, Equidistant Cylindrical, Equal Earth, Azimuthal Equidistant (and Guam), New Zealand Map Grid, and Laborde Oblique Mercator. + +Datum shifts: 3-, 7- and 15-parameter (time-dependent) Helmert, position-vector and coordinate-frame conventions, IOGP Guidance Note 7-2 §4.2.3 and §4.2.5 (EPSG methods 9603, 9606, 9607, 1031, 1032, 1033, 1035, 1037, 1038, and 1053 to 1058). WKT2 and PROJJSON read and write the rates and the parameter reference epoch. A PROJ string has no rates: `to_proj_string` refuses a time-dependent shift with `ProjExportError::TimeDependentShift`, as PROJ does. Linear units: every PROJ `+units` name and any `+to_meter` factor. + +The table holds every non-deprecated EPSG geographic 2D and projected CRS, except the few the generator skips with a stated reason: methods with no implementation here, such as Bonne (South Orientated), Colombia Urban and the Tunisia Mining Grid. A datum EPSG relates to WGS 84 by a grid carries its best Helmert transformation, or no shift. + +## GDM2020 + +GDM2020 (Geocentric Datum of Malaysia 2020, EPSG datum 1471) is in the EPSG registry from change 2026.081, revision 2026-10-05. No released PROJ or pyproj bundles it: PROJ 9.9.0 carries EPSG v13.102. `data/epsg_supplement.tsv` holds its rows with their EPSG codes: + +| Code | CRS | +|---|---| +| 12287 | GDM2020, geographic 2D, GRS 1980 | +| 25314 | GDM2020 / Johor Grid | +| 25315 | GDM2020 / Sembilan and Melaka Grid | +| 25316 | GDM2020 / Pahang Grid | +| 25317 | GDM2020 / Selangor Grid | +| 25318 | GDM2020 / Terengganu Grid | +| 25319 | GDM2020 / Pinang Grid | +| 25320 | GDM2020 / Kedah and Perlis Grid | +| 25321 | GDM2020 / Perak Grid | +| 25322 | GDM2020 / Kelantan Grid | + +Sources: + +- EPSG Geodetic Parameter Registry API, `https://apps.epsg.org/api/v1/`: datum 1471, CRS 12287, conversions 12314 to 12322 (Cassini-Soldner, origins in sexagesimal DMS, false easting and northing 0 m), projected CRSs 25314 to 25322, transformation 12291 (GDM2020 to WGS 84, null geocentric translations, accuracy 1 m). +- JUPEM, Technical Guide to the Coordinate Conversion, Datum Transformation and Map Projection, circular KPUP 3/2021: Table 7 gives the same GDM2020 state origins. Test example 4.6 (i) checks EPSG:25320. Its printed easting is 1.000 m off the Cassini-Soldner formula, and its northing matches to the millimetre. + +GDM2000 to GDM2020 needs JUPEM's velocity and post-seismic deformation grids, which JUPEM does not publish openly, so the crate has no shift between them. GDM2020 Peninsular RSO and East Malaysia BRSO have no EPSG code, and JUPEM withholds their parameters (KPUP 3/2021 Figure 14), so the crate does not define them. + +## Accuracy against PROJ + +`tests/proj_reference.rs` transforms the centre and two inset corners of each CRS's area of use, forward and inverse, and compares with PROJ 9.8.1. A point agrees within 1 mm projected and 1e-9 degrees geographic, unless its fixture row carries its own tolerance in metres. + +The crate applies no grid shift (NADCON, NTv2, geoid models). Where PROJ picks a grid transformation between two datums, the result here differs by that grid's correction, up to several metres. The view `nodedb.spatial_ref_sys` shows each built-in's published Helmert accuracy in `datum_shift_accuracy_m`. + +## Regenerating the EPSG table + +`data/epsg.tsv` is generated from a pinned pyproj (3.8.0, bundling PROJ 9.8.1 and EPSG v12.029). The script refuses any other version and exits non-zero on a method the Rust parser does not implement. It also writes `data/epsg_supplement.tsv` from its `SUPPLEMENT` definitions, and stops when the pinned EPSG dataset already holds one of those codes. + +Create the virtual environment under the workspace build directory, never under `/tmp`: + +```bash +python3 -m venv target-cluster/epsg-venv +target-cluster/epsg-venv/bin/pip install pyproj==3.8.0 +target-cluster/epsg-venv/bin/python scripts/gen_epsg.py # write data/epsg.tsv +target-cluster/epsg-venv/bin/python scripts/gen_epsg.py --fixtures # also write tests/fixtures/*.tsv +target-cluster/epsg-venv/bin/python scripts/gen_epsg.py --check # compare with the committed files +``` + +## Status + +Pre-1.0. APIs can change between minor versions until 1.0. See the workspace [`README.md`](../README.md) for the full project overview and the GitHub [release notes](https://github.com/NodeDB-Lab/nodedb/releases) for per-version changes. + +## License + +Licensed under the Apache License, Version 2.0 ([`LICENSE-APACHE`](../LICENSE.APACHE-2.0)). diff --git a/nodedb-crs/data/epsg.tsv b/nodedb-crs/data/epsg.tsv new file mode 100644 index 000000000..de26b87a8 --- /dev/null +++ b/nodedb-crs/data/epsg.tsv @@ -0,0 +1,5918 @@ +# EPSG v12.029 PROJ 9.8.1 +code kind name area accuracy_m datum proj +2000 projected Anguilla 1957 / British West Indies Grid -63.22,18.11,-62.92,18.33 6600 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +units=m +no_defs +2001 projected Antigua 1943 / British West Indies Grid -61.95,16.94,-61.61,17.22 10 6601 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-255,-15,71 +units=m +no_defs +2002 projected Dominica 1945 / British West Indies Grid -61.55,15.14,-61.2,15.69 10 6602 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=725,685,536 +units=m +no_defs +2003 projected Grenada 1953 / British West Indies Grid -61.84,11.94,-61.35,12.57 10 6603 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=72,213.7,93 +units=m +no_defs +2004 projected Montserrat 1958 / British West Indies Grid -62.29,16.62,-62.08,16.87 44 6604 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=174,359,365 +units=m +no_defs +2005 projected St. Kitts 1955 / British West Indies Grid -62.92,17.06,-62.5,17.46 10 6605 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=9,183,236 +units=m +no_defs +2006 projected St. Lucia 1955 / British West Indies Grid -61.13,13.66,-60.82,14.16 2 6606 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-153,153,307 +units=m +no_defs +2007 projected St. Vincent 45 / British West Indies Grid -61.52,12.54,-61.07,13.44 1 6607 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=195.671,332.517,274.607 +units=m +no_defs +2009 projected NAD27(CGQ77) / SCoPQ zone 3 -60,50.2,-57.1,52.01 6609 +proj=tmerc +lat_0=0 +lon_0=-58.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2010 projected NAD27(CGQ77) / SCoPQ zone 4 -63,47.16,-60,52.01 6609 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2011 projected NAD27(CGQ77) / SCoPQ zone 5 -66,47.95,-63,60.42 6609 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2012 projected NAD27(CGQ77) / SCoPQ zone 6 -69,47.31,-66,59 6609 +proj=tmerc +lat_0=0 +lon_0=-67.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2013 projected NAD27(CGQ77) / SCoPQ zone 7 -72,45.01,-69,61.8 6609 +proj=tmerc +lat_0=0 +lon_0=-70.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2014 projected NAD27(CGQ77) / SCoPQ zone 8 -75,44.99,-72,62.53 6609 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2015 projected NAD27(CGQ77) / SCoPQ zone 9 -78,45.37,-75,62.62 6609 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2016 projected NAD27(CGQ77) / SCoPQ zone 10 -79.85,46.23,-78,62.45 6609 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2017 projected NAD27(76) / MTM zone 8 -75,44.98,-74.35,45.65 6608 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2018 projected NAD27(76) / MTM zone 9 -78,43.63,-75,46.25 6608 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2019 projected NAD27(76) / MTM zone 10 -81,42.26,-77.99,47.33 6608 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2020 projected NAD27(76) / MTM zone 11 -83.6,41.67,-81,46 6608 +proj=tmerc +lat_0=0 +lon_0=-82.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2021 projected NAD27(76) / MTM zone 12 -82.5,46,-79.5,55.21 6608 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2022 projected NAD27(76) / MTM zone 13 -85.5,46,-82.5,55.59 6608 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2023 projected NAD27(76) / MTM zone 14 -88.5,47.17,-85.5,56.7 6608 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2024 projected NAD27(76) / MTM zone 15 -91.5,47.97,-88.5,56.9 6608 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2025 projected NAD27(76) / MTM zone 16 -94.5,48.06,-91.5,55.2 6608 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2026 projected NAD27(76) / MTM zone 17 -95.16,48.69,-94.5,53.24 6608 +proj=tmerc +lat_0=0 +lon_0=-96 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +units=m +no_defs +2027 projected NAD27(76) / UTM zone 15N -95.16,48.03,-90,56.2 6608 +proj=utm +zone=15 +ellps=clrk66 +units=m +no_defs +2028 projected NAD27(76) / UTM zone 16N -90,46.11,-84,56.9 6608 +proj=utm +zone=16 +ellps=clrk66 +units=m +no_defs +2029 projected NAD27(76) / UTM zone 17N -84,41.67,-78,55.37 6608 +proj=utm +zone=17 +ellps=clrk66 +units=m +no_defs +2030 projected NAD27(76) / UTM zone 18N -78,43.63,-74.35,46.25 6608 +proj=utm +zone=18 +ellps=clrk66 +units=m +no_defs +2031 projected NAD27(CGQ77) / UTM zone 17N -79.85,46.23,-78,62.45 6609 +proj=utm +zone=17 +ellps=clrk66 +units=m +no_defs +2032 projected NAD27(CGQ77) / UTM zone 18N -78,44.99,-72,62.62 6609 +proj=utm +zone=18 +ellps=clrk66 +units=m +no_defs +2033 projected NAD27(CGQ77) / UTM zone 19N -72,45.01,-66,61.8 6609 +proj=utm +zone=19 +ellps=clrk66 +units=m +no_defs +2034 projected NAD27(CGQ77) / UTM zone 20N -66,47.16,-60,60.42 6609 +proj=utm +zone=20 +ellps=clrk66 +units=m +no_defs +2035 projected NAD27(CGQ77) / UTM zone 21N -60,50.2,-57.1,52.01 6609 +proj=utm +zone=21 +ellps=clrk66 +units=m +no_defs +2039 projected Israel 1993 / Israeli TM Grid 34.17,29.45,35.69,33.28 0.5 6141 +proj=tmerc +lat_0=31.7343936111111 +lon_0=35.2045169444444 +k=1.0000067 +x_0=219529.584 +y_0=626907.39 +ellps=GRS80 +towgs84=23.772,17.49,17.859,-0.3132,-1.85274,1.67299,-5.4262 +units=m +no_defs +2040 projected Locodjo 1965 / UTM zone 30N -6,4.92,-2.48,10.46 15 6142 +proj=utm +zone=30 +a=6378249.145 +rf=293.465 +towgs84=-125,53,467 +units=m +no_defs +2041 projected Abidjan 1987 / UTM zone 30N -6,4.92,-2.48,10.46 2 6143 +proj=utm +zone=30 +a=6378249.145 +rf=293.465 +towgs84=-124.76,53,466.79 +units=m +no_defs +2042 projected Locodjo 1965 / UTM zone 29N -8.61,4.29,-6,10.74 6142 +proj=utm +zone=29 +a=6378249.145 +rf=293.465 +units=m +no_defs +2043 projected Abidjan 1987 / UTM zone 29N -8.61,4.29,-6,10.74 2 6143 +proj=utm +zone=29 +a=6378249.145 +rf=293.465 +towgs84=-124.76,53,466.79 +units=m +no_defs +2044 projected Hanoi 1972 / Gauss-Kruger zone 18 102.14,8.33,108,23.4 5 6147 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +towgs84=-17.51,-108.32,-62.39 +units=m +no_defs +2045 projected Hanoi 1972 / Gauss-Kruger zone 19 108,10.43,109.53,21.56 6147 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +units=m +no_defs +2046 projected Hartebeesthoek94 / Lo15 14.35,-23.15,14.6,-22.68 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=15 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2047 projected Hartebeesthoek94 / Lo17 16.45,-33.1,18,-28.03 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=17 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2048 projected Hartebeesthoek94 / Lo19 17.99,-34.88,20,-28.38 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=19 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2049 projected Hartebeesthoek94 / Lo21 19.99,-34.88,22.01,-24.76 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=21 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2050 projected Hartebeesthoek94 / Lo23 22,-34.26,24.01,-25.26 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=23 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2051 projected Hartebeesthoek94 / Lo25 24,-34.26,26.01,-24.71 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=25 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2052 projected Hartebeesthoek94 / Lo27 26,-33.83,28,-22.92 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=27 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2053 projected Hartebeesthoek94 / Lo29 27.99,-33.03,30.01,-22.13 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=29 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2054 projected Hartebeesthoek94 / Lo31 29.99,-31.38,32.02,-22.22 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=31 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2055 projected Hartebeesthoek94 / Lo33 31.95,-28.94,32.95,-26.8 1 6148 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=33 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2056 projected CH1903+ / LV95 5.95,45.81,10.5,47.81 1 6150 +proj=somerc +lat_0=46.9524055555556 +lon_0=7.43958333333333 +k_0=1 +x_0=2600000 +y_0=1200000 +ellps=bessel +towgs84=674.374,15.056,405.346 +units=m +no_defs +2057 projected Rassadiran / Nakhl e Taqi 52.5,27.39,52.71,27.61 0.5 6153 +proj=omerc +lat_0=27.5188288055556 +lonc=52.6035391666667 +alpha=0.571661194444444 +gamma=0.571661194444444 +k=0.999895934 +x_0=658377.437 +y_0=3044969.194 +ellps=intl +towgs84=-133.63,-157.5,-158.62 +units=m +no_defs +2058 projected ED50(ED77) / UTM zone 38N 44.03,30.99,48,39.78 1 6154 +proj=utm +zone=38 +ellps=intl +towgs84=-110.33,-97.73,-119.85,0.3423,1.1634,0.2715,0.063 +units=m +no_defs +2059 projected ED50(ED77) / UTM zone 39N 48,25.47,54,39.71 1 6154 +proj=utm +zone=39 +ellps=intl +towgs84=-110.33,-97.73,-119.85,0.3423,1.1634,0.2715,0.063 +units=m +no_defs +2060 projected ED50(ED77) / UTM zone 40N 54,25.32,60,38.29 1 6154 +proj=utm +zone=40 +ellps=intl +towgs84=-110.33,-97.73,-119.85,0.3423,1.1634,0.2715,0.063 +units=m +no_defs +2061 projected ED50(ED77) / UTM zone 41N 60,25.02,63.34,37.06 1 6154 +proj=utm +zone=41 +ellps=intl +towgs84=-110.33,-97.73,-119.85,0.3423,1.1634,0.2715,0.063 +units=m +no_defs +2062 projected Madrid 1870 (Madrid) / Spain LCC -9.37,35.95,3.39,43.82 6903 +proj=lcc +lat_1=40 +lat_0=40 +lon_0=0 +k_0=0.9988085293 +x_0=600000 +y_0=600000 +a=6378298.3 +rf=294.73 +pm=-3.687375 +units=m +no_defs +2065 projected S-JTSK (Ferro) / Krovak 12.09,47.73,22.56,51.06 6818 +proj=krovak +axis=swu +lat_0=49.5 +lon_0=42.5 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +2066 projected Mount Dillon / Tobago Grid -60.9,11.08,-60.44,11.41 6157 +proj=cass +lat_0=11.2521786111111 +lon_0=-60.6860088888889 +x_0=37718.66159325 +y_0=36209.91512952 +a=6378293.64520876 +b=6356617.98767984 +to_meter=0.201166195164 +no_defs +2067 projected Naparima 1955 / UTM zone 20N -61.98,9.99,-60.85,10.9 1 6158 +proj=utm +zone=20 +ellps=intl +towgs84=-0.465,372.095,171.736 +units=m +no_defs +2068 projected ELD79 / Libya zone 5 9.31,25.37,10.01,30.49 5 6159 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2069 projected ELD79 / Libya zone 6 10,23.51,12,33.23 5 6159 +proj=tmerc +lat_0=0 +lon_0=11 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2070 projected ELD79 / Libya zone 7 12,22.8,14,33.06 5 6159 +proj=tmerc +lat_0=0 +lon_0=13 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2071 projected ELD79 / Libya zone 8 14,22.61,16,32.79 5 6159 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2072 projected ELD79 / Libya zone 9 16,22.51,18.01,31.34 5 6159 +proj=tmerc +lat_0=0 +lon_0=17 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2073 projected ELD79 / Libya zone 10 18,21.54,20,32.17 5 6159 +proj=tmerc +lat_0=0 +lon_0=19 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2074 projected ELD79 / Libya zone 11 20,20.54,22,33 5 6159 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2075 projected ELD79 / Libya zone 12 22,19.5,24,32.97 5 6159 +proj=tmerc +lat_0=0 +lon_0=23 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2076 projected ELD79 / Libya zone 13 24,19.99,25.21,32.15 5 6159 +proj=tmerc +lat_0=0 +lon_0=25 +k=0.9999 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2077 projected ELD79 / UTM zone 32N 9.31,23.51,12,33.23 5 6159 +proj=utm +zone=32 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2078 projected ELD79 / UTM zone 33N 12,22.51,18.01,33.06 5 6159 +proj=utm +zone=33 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2079 projected ELD79 / UTM zone 34N 17.99,19.5,24,33 5 6159 +proj=utm +zone=34 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2080 projected ELD79 / UTM zone 35N 24,19.99,25.21,32.15 5 6159 +proj=utm +zone=35 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2081 projected Chos Malal 1914 / Argentina 2 -70.51,-43.41,-67.49,-31.91 2.5 6160 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=15.75,164.93,126.18 +units=m +no_defs +2082 projected Pampa del Castillo / Argentina 2 -70.5,-50.34,-67.49,-42.49 2.5 6161 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=-233.43,6.65,173.64 +units=m +no_defs +2083 projected Hito XVIII 1963 / Argentina 2 -68.64,-54.9,-67.5,-52.59 0.5 6254 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=18.38,192.45,96.82,0.056,-0.142,-0.2,-0.0013 +units=m +no_defs +2084 projected Hito XVIII 1963 / UTM zone 19S -68.62,-54.61,-66,-51.65 44 6254 +proj=utm +zone=19 +south +ellps=intl +towgs84=16,196,93 +units=m +no_defs +2087 projected ELD79 / TM 12 NE 9.31,22.61,15,33.23 5 6159 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9996 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +units=m +no_defs +2088 projected Carthage / TM 11 NE 7.81,33.22,13.67,38.41 1 6223 +proj=tmerc +lat_0=0 +lon_0=11 +k=0.9996 +x_0=500000 +y_0=0 +ellps=clrk80ign +towgs84=-260.1,5.5,432.2 +units=m +no_defs +2089 projected Yemen NGN96 / UTM zone 38N 42,11.57,48.01,17.95 1 6163 +proj=utm +zone=38 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2090 projected Yemen NGN96 / UTM zone 39N 48,9.45,54.01,19 1 6163 +proj=utm +zone=39 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +2093 projected Hanoi 1972 / GK 106 NE 105.49,9.03,107.58,11.04 5 6147 +proj=tmerc +lat_0=0 +lon_0=106 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=-17.51,-108.32,-62.39 +units=m +no_defs +2094 projected WGS 72BE / TM 106 NE 106.54,7.99,110,11.15 2 6324 +proj=tmerc +lat_0=0 +lon_0=106 +k=0.9996 +x_0=500000 +y_0=0 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +2095 projected Bissau / UTM zone 28N -16.77,10.87,-13.64,12.69 25 6165 +proj=utm +zone=28 +ellps=intl +towgs84=-173,253,27 +units=m +no_defs +2096 projected Korean 1985 / East Belt 128,34.49,129.65,38.64 6162 +proj=tmerc +lat_0=38 +lon_0=129 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +2097 projected Korean 1985 / Central Belt 126,33.96,128,38.33 6162 +proj=tmerc +lat_0=38 +lon_0=127 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +2098 projected Korean 1985 / West Belt 124.53,33.99,126,38.04 6162 +proj=tmerc +lat_0=38 +lon_0=125 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +2099 projected Qatar 1948 / Qatar Grid 50.69,24.55,51.68,26.2 6286 +proj=cass +lat_0=25.3823611111111 +lon_0=50.7613888888889 +x_0=100000 +y_0=100000 +ellps=helmert +units=m +no_defs +2100 projected GGRS87 / Greek Grid 19.57,34.88,28.3,41.75 1 6121 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9996 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-199.87,74.79,246.62 +units=m +no_defs +2101 projected Lake / Maracaibo Grid M1 -72.25,10,-71.5,11 6249 +proj=lcc +lat_1=10.1666666666667 +lat_0=10.1666666666667 +lon_0=-71.6056177777778 +k_0=1 +x_0=0 +y_0=-52684.972 +ellps=intl +units=m +no_defs +2102 projected Lake / Maracaibo Grid -72.25,10,-71.5,11 6249 +proj=lcc +lat_1=10.1666666666667 +lat_0=10.1666666666667 +lon_0=-71.6056177777778 +k_0=1 +x_0=200000 +y_0=147315.028 +ellps=intl +units=m +no_defs +2103 projected Lake / Maracaibo Grid M3 -72.25,10,-71.5,11 6249 +proj=lcc +lat_1=10.1666666666667 +lat_0=10.1666666666667 +lon_0=-71.6056177777778 +k_0=1 +x_0=500000 +y_0=447315.028 +ellps=intl +units=m +no_defs +2104 projected Lake / Maracaibo La Rosa Grid -71.5,10,-71.17,10.51 6249 +proj=lcc +lat_1=10.1666666666667 +lat_0=10.1666666666667 +lon_0=-71.6056177777778 +k_0=1 +x_0=-17044 +y_0=-23139.97 +ellps=intl +units=m +no_defs +2105 projected NZGD2000 / Mount Eden 2000 171.99,-39.01,176.12,-34.1 1 6167 +proj=tmerc +lat_0=-36.8797222222222 +lon_0=174.764166666667 +k=0.9999 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2106 projected NZGD2000 / Bay of Plenty 2000 175.75,-39.13,177.23,-37.22 1 6167 +proj=tmerc +lat_0=-37.7611111111111 +lon_0=176.466111111111 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2107 projected NZGD2000 / Poverty Bay 2000 176.73,-39.04,178.63,-37.49 1 6167 +proj=tmerc +lat_0=-38.6244444444444 +lon_0=177.885555555556 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2108 projected NZGD2000 / Hawkes Bay 2000 175.8,-40.57,178.07,-38.87 1 6167 +proj=tmerc +lat_0=-39.6508333333333 +lon_0=176.673611111111 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2109 projected NZGD2000 / Taranaki 2000 173.68,-39.78,175.44,-38.4 1 6167 +proj=tmerc +lat_0=-39.1355555555556 +lon_0=174.227777777778 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2110 projected NZGD2000 / Tuhirangi 2000 174.88,-39.55,176.33,-38.87 1 6167 +proj=tmerc +lat_0=-39.5122222222222 +lon_0=175.64 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2111 projected NZGD2000 / Wanganui 2000 174.4,-40.97,176.27,-39.46 1 6167 +proj=tmerc +lat_0=-40.2419444444444 +lon_0=175.488055555556 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2112 projected NZGD2000 / Wairarapa 2000 175.01,-41.67,176.55,-40.29 1 6167 +proj=tmerc +lat_0=-40.9252777777778 +lon_0=175.647222222222 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2113 projected NZGD2000 / Wellington 2000 174.52,-41.5,175.36,-40.91 1 6167 +proj=tmerc +lat_0=-41.3011111111111 +lon_0=174.776388888889 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2114 projected NZGD2000 / Collingwood 2000 172.16,-41.22,173.13,-40.44 1 6167 +proj=tmerc +lat_0=-40.7147222222222 +lon_0=172.671944444444 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2115 projected NZGD2000 / Nelson 2000 172.4,-42.18,174.08,-40.66 1 6167 +proj=tmerc +lat_0=-41.2744444444444 +lon_0=173.299166666667 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2116 projected NZGD2000 / Karamea 2000 171.96,-41.49,172.7,-40.75 1 6167 +proj=tmerc +lat_0=-41.2897222222222 +lon_0=172.108888888889 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2117 projected NZGD2000 / Buller 2000 171.27,-42.19,172.41,-41.42 1 6167 +proj=tmerc +lat_0=-41.8105555555556 +lon_0=171.581111111111 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2118 projected NZGD2000 / Grey 2000 171.15,-42.74,172.75,-41.5 1 6167 +proj=tmerc +lat_0=-42.3336111111111 +lon_0=171.549722222222 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2119 projected NZGD2000 / Amuri 2000 171.88,-42.95,173.55,-42.09 1 6167 +proj=tmerc +lat_0=-42.6888888888889 +lon_0=173.01 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2120 projected NZGD2000 / Marlborough 2000 172.95,-42.65,174.46,-40.85 1 6167 +proj=tmerc +lat_0=-41.5444444444444 +lon_0=173.801944444444 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2121 projected NZGD2000 / Hokitika 2000 170.39,-43.23,171.89,-42.41 1 6167 +proj=tmerc +lat_0=-42.8861111111111 +lon_0=170.979722222222 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2122 projected NZGD2000 / Okarito 2000 169.21,-43.85,170.89,-43 1 6167 +proj=tmerc +lat_0=-43.11 +lon_0=170.260833333333 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2123 projected NZGD2000 / Jacksons Bay 2000 168.02,-44.4,170.01,-43.67 1 6167 +proj=tmerc +lat_0=-43.9777777777778 +lon_0=168.606111111111 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2124 projected NZGD2000 / Mount Pleasant 2000 171.11,-43.96,173.38,-42.69 1 6167 +proj=tmerc +lat_0=-43.5905555555556 +lon_0=172.726944444444 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2125 projected NZGD2000 / Gawler 2000 170.68,-44.25,172.26,-43.13 1 6167 +proj=tmerc +lat_0=-43.7486111111111 +lon_0=171.360555555556 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2126 projected NZGD2000 / Timaru 2000 169.82,-44.98,171.55,-43.35 1 6167 +proj=tmerc +lat_0=-44.4019444444444 +lon_0=171.057222222222 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2127 projected NZGD2000 / Lindis Peak 2000 168.62,-45.4,170.24,-43.71 1 6167 +proj=tmerc +lat_0=-44.735 +lon_0=169.4675 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2128 projected NZGD2000 / Mount Nicholas 2000 167.72,-45.58,169.11,-44.29 1 6167 +proj=tmerc +lat_0=-45.1327777777778 +lon_0=168.398611111111 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2129 projected NZGD2000 / Mount York 2000 166.37,-46.33,168.21,-44.53 1 6167 +proj=tmerc +lat_0=-45.5636111111111 +lon_0=167.738611111111 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2130 projected NZGD2000 / Observation Point 2000 169.77,-45.82,171.24,-44.61 1 6167 +proj=tmerc +lat_0=-45.8161111111111 +lon_0=170.628333333333 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2131 projected NZGD2000 / North Taieri 2000 168.64,-46.73,170.87,-45.23 1 6167 +proj=tmerc +lat_0=-45.8613888888889 +lon_0=170.2825 +k=0.99996 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2132 projected NZGD2000 / Bluff 2000 167.29,-47.33,168.97,-45.33 1 6167 +proj=tmerc +lat_0=-46.6 +lon_0=168.342777777778 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2133 projected NZGD2000 / UTM zone 58S 162,-55.89,168,-39.68 1 6167 +proj=utm +zone=58 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2134 projected NZGD2000 / UTM zone 59S 168,-55.95,174,-30.78 1 6167 +proj=utm +zone=59 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2135 projected NZGD2000 / UTM zone 60S 174,-54.32,180,-26.42 1 6167 +proj=utm +zone=60 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2136 projected Accra / Ghana National Grid -3.25,4.67,1.23,11.16 6 6168 +proj=tmerc +lat_0=4.66666666666667 +lon_0=-1 +k=0.99975 +x_0=274319.739163358 +y_0=0 +a=6378300 +rf=296 +towgs84=-170,33,326 +to_meter=0.304799710181509 +no_defs +2137 projected Accra / TM 1 NW -3.79,1.4,2.1,6.06 25 6168 +proj=tmerc +lat_0=0 +lon_0=-1 +k=0.9996 +x_0=500000 +y_0=0 +a=6378300 +rf=296 +towgs84=-171.16,17.29,325.21,0,0,0.814,-0.38 +units=m +no_defs +2138 projected NAD27(CGQ77) / Quebec Lambert -79.85,44.99,-57.1,62.62 6609 +proj=lcc +lat_0=44 +lon_0=-68.5 +lat_1=60 +lat_2=46 +x_0=0 +y_0=0 +ellps=clrk66 +units=m +no_defs +2154 projected RGF93 v1 / Lambert-93 -9.86,41.15,10.38,51.56 1 6171 +proj=lcc +lat_0=46.5 +lon_0=3 +lat_1=49 +lat_2=44 +x_0=700000 +y_0=6600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2157 projected IRENET95 / Irish Transverse Mercator -10.56,51.39,-5.34,55.43 1 6173 +proj=tmerc +lat_0=53.5 +lon_0=-8 +k=0.99982 +x_0=600000 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2158 projected IRENET95 / UTM zone 29N -10.56,51.39,-5.34,55.43 1 6173 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2159 projected Sierra Leone 1924 / New Colony Grid -13.34,8.32,-13.13,8.55 6174 +proj=tmerc +lat_0=6.66666666666667 +lon_0=-12 +k=1 +x_0=152399.855090754 +y_0=0 +a=6378300 +rf=296 +to_meter=0.304799710181509 +no_defs +2160 projected Sierra Leone 1924 / New War Office Grid -13.34,8.32,-13.13,8.55 6174 +proj=tmerc +lat_0=6.66666666666667 +lon_0=-12 +k=1 +x_0=243839.768145207 +y_0=182879.826108905 +a=6378300 +rf=296 +to_meter=0.304799710181509 +no_defs +2161 projected Sierra Leone 1968 / UTM zone 28N -13.35,7.15,-12,9.94 26 6175 +proj=utm +zone=28 +a=6378249.145 +rf=293.465 +towgs84=-88,4,101 +units=m +no_defs +2162 projected Sierra Leone 1968 / UTM zone 29N -12,6.88,-10.26,10 26 6175 +proj=utm +zone=29 +a=6378249.145 +rf=293.465 +towgs84=-88,4,101 +units=m +no_defs +2164 projected Locodjo 1965 / TM 5 NW -7.55,1.02,-3.11,5.19 15 6142 +proj=tmerc +lat_0=0 +lon_0=-5 +k=0.9996 +x_0=500000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-125,53,467 +units=m +no_defs +2165 projected Abidjan 1987 / TM 5 NW -7.55,1.02,-3.11,5.19 2 6143 +proj=tmerc +lat_0=0 +lon_0=-5 +k=0.9996 +x_0=500000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-123.1,53.2,465.4 +units=m +no_defs +2169 projected LUREF / Luxembourg TM 5.73,49.44,6.53,50.19 1 6181 +proj=tmerc +lat_0=49.8333333333333 +lon_0=6.16666666666667 +k=1 +x_0=80000 +y_0=100000 +ellps=intl +towgs84=-189.6806,18.3463,-42.7695,-0.33746,-3.09264,2.53861,0.4598 +units=m +no_defs +2172 projected Pulkovo 1942(58) / Poland zone II 19,51.33,23.95,54.51 1 6179 +proj=sterea +lat_0=53.0019444444444 +lon_0=21.5027777777778 +k=0.9998 +x_0=4603000 +y_0=5806000 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +2173 projected Pulkovo 1942(58) / Poland zone III 14.14,52.16,20,54.89 1 6179 +proj=sterea +lat_0=53.5833333333333 +lon_0=17.0083333333333 +k=0.9998 +x_0=3501000 +y_0=5999000 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +2174 projected Pulkovo 1942(58) / Poland zone IV 14.14,49.39,19.09,53.34 1 6179 +proj=sterea +lat_0=51.6708333333333 +lon_0=16.6722222222222 +k=0.9998 +x_0=3703000 +y_0=5627000 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +2175 projected Pulkovo 1942(58) / Poland zone V 18.33,49.39,19.67,51.34 1 6179 +proj=tmerc +lat_0=0 +lon_0=18.9583333333333 +k=0.999983 +x_0=237000 +y_0=-4700000 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +2176 projected ETRF2000-PL / CS2000/15 14.14,50.26,16.5,55.35 1 1305 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.999923 +x_0=5500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2177 projected ETRF2000-PL / CS2000/18 16.5,49.39,19.5,55.93 1 1305 +proj=tmerc +lat_0=0 +lon_0=18 +k=0.999923 +x_0=6500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2178 projected ETRF2000-PL / CS2000/21 19.5,49.09,22.5,54.55 1 1305 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.999923 +x_0=7500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2179 projected ETRF2000-PL / CS2000/24 22.5,49,24.15,54.41 1 1305 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.999923 +x_0=8500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2180 projected ETRF2000-PL / CS92 14.14,49,24.15,55.93 1 1305 +proj=tmerc +lat_0=0 +lon_0=19 +k=0.9993 +x_0=500000 +y_0=-5300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2188 projected Azores Occidental 1939 / UTM zone 25N -31.34,39.3,-31.02,39.77 5 6182 +proj=utm +zone=25 +ellps=intl +towgs84=-422.651,-172.995,84.02 +units=m +no_defs +2189 projected Azores Central 1948 / UTM zone 26N -28.9,38.32,-26.97,39.14 6 6183 +proj=utm +zone=26 +ellps=intl +towgs84=-104,167,-38 +units=m +no_defs +2190 projected Azores Oriental 1940 / UTM zone 26N -25.92,36.87,-24.72,37.96 44 6184 +proj=utm +zone=26 +ellps=intl +towgs84=-203,141,53 +units=m +no_defs +2193 projected NZGD2000 / New Zealand Transverse Mercator 2000 166.37,-47.33,178.63,-34.1 1 6167 +proj=tmerc +lat_0=0 +lon_0=173 +k=0.9996 +x_0=1600000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2195 projected NAD83(HARN) / UTM zone 2S -170.88,-14.59,-168.09,-14.11 2 6152 +proj=utm +zone=2 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2196 projected ETRS89 / Kp2000 Jutland 8,54.67,11.29,57.8 1 6258 +proj=tmerc +lat_0=0 +lon_0=9.5 +k=0.99995 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2197 projected ETRS89 / Kp2000 Zealand 10.79,54.51,12.87,56.79 1 6258 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.99995 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2198 projected ETRS89 / Kp2000 Bornholm 14.59,54.94,15.25,55.38 1 6258 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2200 projected ATS77 / New Brunswick Stereographic (ATS77) -69.05,44.56,-63.7,48.07 6122 +proj=sterea +lat_0=46.5 +lon_0=-66.5 +k=0.999912 +x_0=300000 +y_0=800000 +a=6378135 +rf=298.257 +units=m +no_defs +2201 projected REGVEN / UTM zone 18N -73.38,7.02,-71.99,11.62 1 6189 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2202 projected REGVEN / UTM zone 19N -72,0.73,-66,15.64 1 6189 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2203 projected REGVEN / UTM zone 20N -66,0.64,-58.95,16.75 1 6189 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2204 projected NAD27 / Tennessee -90.31,34.98,-81.65,36.68 10 6267 +proj=lcc +lat_0=34.6666666666667 +lon_0=-86 +lat_1=35.25 +lat_2=36.4166666666667 +x_0=609601.219202438 +y_0=30480.0609601219 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +2205 projected NAD83 / Kentucky North -85.96,37.71,-82.47,39.15 4 6269 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2206 projected ED50 / 3-degree Gauss-Kruger zone 9 25.62,36.5,28.5,42.11 2 6230 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2207 projected ED50 / 3-degree Gauss-Kruger zone 10 28.5,36.06,31.5,41.46 2 6230 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2208 projected ED50 / 3-degree Gauss-Kruger zone 11 31.5,35.97,34.5,42.07 2 6230 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=11500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2209 projected ED50 / 3-degree Gauss-Kruger zone 12 34.5,35.81,37.5,42.15 2 6230 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=12500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2210 projected ED50 / 3-degree Gauss-Kruger zone 13 37.5,36.66,40.5,41.19 2 6230 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=13500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2211 projected ED50 / 3-degree Gauss-Kruger zone 14 40.5,37.02,43.5,41.6 2 6230 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=14500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2212 projected ED50 / 3-degree Gauss-Kruger zone 15 43.5,36.97,44.83,41.02 2 6230 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=15500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2213 projected ETRS89 / TM 30 NE 28.64,43.44,31.41,45.2 1 6258 +proj=tmerc +lat_0=0 +lon_0=30 +k=0.9996 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2215 projected Manoca 1962 / UTM zone 32N 8.45,2.16,10.4,4.99 0.5 6193 +proj=utm +zone=32 +ellps=clrk80ign +towgs84=-70.9,-151.8,-41.4 +units=m +no_defs +2216 projected Qoornoq 1927 / UTM zone 22N -54,60.63,-48,73.05 1 6194 +proj=utm +zone=22 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2217 projected Qoornoq 1927 / UTM zone 23N -48,59.74,-42.52,62.05 1 6194 +proj=utm +zone=23 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2218 projected Scoresbysund 1952 / Greenland zone 5 east -29.69,69,-21.32,72 1 6195 +proj=lcc +axis=wnu +lat_1=70.5 +lat_0=70.5 +lon_0=-24 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=105,326,-102.5,0,0,0.814,-0.6 +units=m +no_defs +2219 projected ATS77 / UTM zone 19N -69,43.64,-66,48.07 6122 +proj=utm +zone=19 +a=6378135 +rf=298.257 +units=m +no_defs +2220 projected ATS77 / UTM zone 20N -66,43.41,-59.73,47.98 6122 +proj=utm +zone=20 +a=6378135 +rf=298.257 +units=m +no_defs +2221 projected Scoresbysund 1952 / Greenland zone 6 east -26.99,68.66,-25.14,69 1 6195 +proj=lcc +axis=wnu +lat_1=67.5 +lat_0=67.5 +lon_0=-32 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=105,326,-102.5,0,0,0.814,-0.6 +units=m +no_defs +2222 projected NAD83 / Arizona East (ft) -111.71,31.33,-109.04,37.01 4 6269 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2223 projected NAD83 / Arizona Central (ft) -113.35,31.33,-110.44,37.01 4 6269 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2224 projected NAD83 / Arizona West (ft) -114.81,32.05,-112.52,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2225 projected NAD83 / California zone 1 (ftUS) -124.45,39.59,-119.99,42.01 4 6269 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2226 projected NAD83 / California zone 2 (ftUS) -124.06,38.02,-119.54,40.16 4 6269 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2227 projected NAD83 / California zone 3 (ftUS) -123.02,36.73,-117.83,38.71 4 6269 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2228 projected NAD83 / California zone 4 (ftUS) -122.01,35.78,-115.62,37.58 4 6269 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2229 projected NAD83 / California zone 5 (ftUS) -121.42,32.76,-114.12,35.81 4 6269 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2230 projected NAD83 / California zone 6 (ftUS) -118.15,32.53,-114.42,34.08 4 6269 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2231 projected NAD83 / Colorado North (ftUS) -109.06,39.56,-102.04,41.01 4 6269 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2232 projected NAD83 / Colorado Central (ftUS) -109.06,38.14,-102.04,40.09 4 6269 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2233 projected NAD83 / Colorado South (ftUS) -109.06,36.98,-102.04,38.68 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2234 projected NAD83 / Connecticut (ftUS) -73.73,40.98,-71.78,42.05 4 6269 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.609601219 +y_0=152400.30480061 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2235 projected NAD83 / Delaware (ftUS) -75.8,38.44,-74.97,39.85 4 6269 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2236 projected NAD83 / Florida East (ftUS) -82.33,24.41,-79.97,30.83 4 6269 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2237 projected NAD83 / Florida West (ftUS) -83.34,26.27,-81.13,29.6 4 6269 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2238 projected NAD83 / Florida North (ftUS) -87.63,29.21,-82.04,31.01 4 6269 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2239 projected NAD83 / Georgia East (ftUS) -83.47,30.36,-80.77,34.68 4 6269 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2240 projected NAD83 / Georgia West (ftUS) -85.61,30.62,-82.99,35.01 4 6269 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2241 projected NAD83 / Idaho East (ftUS) -113.24,41.99,-111.04,44.75 4 6269 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2242 projected NAD83 / Idaho Central (ftUS) -115.3,41.99,-112.67,45.7 4 6269 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2243 projected NAD83 / Idaho West (ftUS) -117.24,41.99,-114.32,49.01 4 6269 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2246 projected NAD83 / Kentucky North (ftUS) -85.96,37.71,-82.47,39.15 4 6269 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2247 projected NAD83 / Kentucky South (ftUS) -89.57,36.49,-81.95,38.17 4 6269 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2248 projected NAD83 / Maryland (ftUS) -79.49,37.97,-74.97,39.73 4 6269 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=399999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2249 projected NAD83 / Massachusetts Mainland (ftUS) -73.5,41.46,-69.86,42.89 4 6269 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000.0001016 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2250 projected NAD83 / Massachusetts Island (ftUS) -70.91,41.19,-69.89,41.51 4 6269 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2251 projected NAD83 / Michigan North (ft) -90.42,45.08,-83.44,48.32 4 6269 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=7999999.999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2252 projected NAD83 / Michigan Central (ft) -87.06,43.8,-82.27,45.92 4 6269 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=5999999.999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2253 projected NAD83 / Michigan South (ft) -87.2,41.69,-82.13,44.22 4 6269 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=3999999.999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2254 projected NAD83 / Mississippi East (ftUS) -89.97,30.01,-88.09,35.01 4 6269 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2255 projected NAD83 / Mississippi West (ftUS) -91.65,31,-89.37,35.01 4 6269 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2256 projected NAD83 / Montana (ft) -116.07,44.35,-104.04,49.01 4 6269 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2257 projected NAD83 / New Mexico East (ftUS) -105.72,32,-102.99,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2258 projected NAD83 / New Mexico Central (ftUS) -107.73,31.78,-104.84,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2259 projected NAD83 / New Mexico West (ftUS) -109.06,31.33,-106.32,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2260 projected NAD83 / New York East (ftUS) -75.87,40.88,-73.23,45.02 4 6269 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2261 projected NAD83 / New York Central (ftUS) -77.75,41.99,-75.06,44.41 4 6269 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=249999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2262 projected NAD83 / New York West (ftUS) -79.77,41.99,-77.36,43.64 4 6269 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2263 projected NAD83 / New York Long Island (ftUS) -74.26,40.47,-71.8,41.3 4 6269 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2264 projected NAD83 / North Carolina (ftUS) -84.33,33.83,-75.38,36.59 4 6269 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.219202438 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2265 projected NAD83 / North Dakota North (ft) -104.07,47.15,-96.83,49.01 4 6269 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2266 projected NAD83 / North Dakota South (ft) -104.05,45.93,-96.55,47.83 4 6269 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2267 projected NAD83 / Oklahoma North (ftUS) -103,35.27,-94.42,37.01 4 6269 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2268 projected NAD83 / Oklahoma South (ftUS) -100,33.62,-94.42,35.57 4 6269 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2269 projected NAD83 / Oregon North (ft) -124.17,43.95,-116.47,46.26 4 6269 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2270 projected NAD83 / Oregon South (ft) -124.6,41.98,-116.9,44.56 4 6269 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2271 projected NAD83 / Pennsylvania North (ftUS) -80.53,40.6,-74.7,42.53 4 6269 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2272 projected NAD83 / Pennsylvania South (ftUS) -80.53,39.71,-74.72,41.18 4 6269 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2273 projected NAD83 / South Carolina (ft) -83.36,32.05,-78.52,35.21 4 6269 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2274 projected NAD83 / Tennessee (ftUS) -90.31,34.98,-81.65,36.68 4 6269 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2275 projected NAD83 / Texas North (ftUS) -103.03,34.3,-99.99,36.5 4 6269 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2276 projected NAD83 / Texas North Central (ftUS) -103.07,31.72,-94,34.58 4 6269 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2277 projected NAD83 / Texas Central (ftUS) -106.66,29.78,-93.5,32.27 4 6269 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=699999.9998984 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2278 projected NAD83 / Texas South Central (ftUS) -105,27.78,-93.76,30.67 4 6269 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=3999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2279 projected NAD83 / Texas South (ftUS) -100.2,25.83,-96.85,28.21 4 6269 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2280 projected NAD83 / Utah North (ft) -114.04,40.55,-109.04,42.01 4 6269 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.0001504 +y_0=999999.999996 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2281 projected NAD83 / Utah Central (ft) -114.05,38.49,-109.04,41.08 4 6269 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.0001504 +y_0=1999999.999992 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2282 projected NAD83 / Utah South (ft) -114.05,36.99,-109.04,38.58 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.0001504 +y_0=2999999.999988 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2283 projected NAD83 / Virginia North (ftUS) -80.06,37.77,-76.51,39.46 4 6269 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000.0001016 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2284 projected NAD83 / Virginia South (ftUS) -83.68,36.54,-75.31,38.28 4 6269 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2285 projected NAD83 / Washington North (ftUS) -124.79,47.08,-117.02,49.05 4 6269 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2286 projected NAD83 / Washington South (ftUS) -124.4,45.54,-116.91,47.61 4 6269 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2287 projected NAD83 / Wisconsin North (ftUS) -92.89,45.37,-88.05,47.31 4 6269 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2288 projected NAD83 / Wisconsin Central (ftUS) -92.89,43.98,-86.25,45.8 4 6269 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2289 projected NAD83 / Wisconsin South (ftUS) -91.43,42.48,-86.95,44.33 4 6269 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2290 projected ATS77 / Prince Edward Isl. Stereographic (ATS77) -64.49,45.9,-61.9,47.09 6122 +proj=sterea +lat_0=47.25 +lon_0=-63 +k=0.999912 +x_0=700000 +y_0=400000 +a=6378135 +rf=298.257 +units=m +no_defs +2294 projected ATS77 / MTM Nova Scotia zone 4 -63,44.64,-59.73,47.08 6122 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=4500000 +y_0=0 +a=6378135 +rf=298.257 +units=m +no_defs +2295 projected ATS77 / MTM Nova Scotia zone 5 -66.28,43.41,-63,46.02 6122 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=5500000 +y_0=0 +a=6378135 +rf=298.257 +units=m +no_defs +2296 projected Ammassalik 1958 / Greenland zone 7 east -38.86,65.52,-36.81,65.91 1 6196 +proj=lcc +axis=wnu +lat_1=64.5 +lat_0=64.5 +lon_0=-40 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=-45,417,-3.5,0,0,0.814,-0.6 +units=m +no_defs +2299 projected Qoornoq 1927 / Greenland zone 2 west -73.29,78,-65.24,79 1 6194 +proj=lcc +axis=wnu +lat_1=79.5 +lat_0=79.5 +lon_0=-64 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2301 projected Qoornoq 1927 / Greenland zone 3 west -72.79,75,-56.31,78 1 6194 +proj=lcc +axis=wnu +lat_1=76.5 +lat_0=76.5 +lon_0=-64 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2303 projected Qoornoq 1927 / Greenland zone 4 west -58.21,72,-52.02,75 1 6194 +proj=lcc +axis=wnu +lat_1=73.5 +lat_0=73.5 +lon_0=-52 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2304 projected Qoornoq 1927 / Greenland zone 5 west -56.06,69,-49.11,72 1 6194 +proj=lcc +axis=wnu +lat_1=70.5 +lat_0=70.5 +lon_0=-52 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2305 projected Qoornoq 1927 / Greenland zone 6 west -54.09,66,-49.4,69 1 6194 +proj=lcc +axis=wnu +lat_1=67.5 +lat_0=67.5 +lon_0=-52 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2306 projected Qoornoq 1927 / Greenland zone 7 west -53.7,63,-49.17,66 1 6194 +proj=lcc +axis=wnu +lat_1=64.5 +lat_0=64.5 +lon_0=-52 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2307 projected Qoornoq 1927 / Greenland zone 8 -50.72,59.74,-42.52,63 1 6194 +proj=lcc +axis=wnu +lat_1=61.5 +lat_0=61.5 +lon_0=-48 +k_0=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +units=m +no_defs +2308 projected Batavia / TM 109 SE 105.77,-6.89,110.01,-4.07 5 6211 +proj=tmerc +lat_0=0 +lon_0=109 +k=0.9996 +x_0=500000 +y_0=10000000 +ellps=bessel +towgs84=-378.873,676.002,-46.255 +units=m +no_defs +2309 projected WGS 84 / TM 116 SE 112.8,-8.46,117.01,-6.8 6326 +proj=tmerc +lat_0=0 +lon_0=116 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs +2310 projected WGS 84 / TM 132 SE 131.89,-2.94,133.82,-1.97 6326 +proj=tmerc +lat_0=0 +lon_0=132 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs +2311 projected WGS 84 / TM 6 NE 2.66,1.92,8.49,6.38 6326 +proj=tmerc +lat_0=0 +lon_0=6 +k=0.9996 +x_0=500000 +y_0=0 +datum=WGS84 +units=m +no_defs +2312 projected Garoua / UTM zone 33N 12.9,8.92,14.19,9.87 6197 +proj=utm +zone=33 +a=6378249.145 +rf=293.465 +units=m +no_defs +2313 projected Kousseri / UTM zone 33N 14.17,11.7,15.09,12.77 6198 +proj=utm +zone=33 +a=6378249.145 +rf=293.465 +units=m +no_defs +2314 projected Trinidad 1903 / Trinidad Grid (ftCla) -62.09,9.83,-60,11.51 2 6302 +proj=cass +lat_0=10.4416666666667 +lon_0=-61.3333333333333 +x_0=86501.46392052 +y_0=65379.0134283 +a=6378293.64520876 +b=6356617.98767984 +towgs84=-61.702,284.488,472.052 +to_meter=0.3047972654 +no_defs +2315 projected Campo Inchauspe / UTM zone 19S -68.62,-54.61,-66,-51.65 9 6221 +proj=utm +zone=19 +south +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +2316 projected Campo Inchauspe / UTM zone 20S -66,-54.93,-61.49,-51.36 9 6221 +proj=utm +zone=20 +south +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +2317 projected PSAD56 / ICN Regional -73.38,0.64,-59.8,12.25 23 6248 +proj=lcc +lat_0=6 +lon_0=-66 +lat_1=9 +lat_2=3 +x_0=1000000 +y_0=1000000 +ellps=intl +towgs84=-295,173,-371 +units=m +no_defs +2318 projected Ain el Abd / Aramco Lambert 34.51,16.37,55.67,32.16 18 6204 +proj=lcc +lat_0=25.08951 +lon_0=48 +lat_1=17 +lat_2=33 +x_0=0 +y_0=0 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +2319 projected ED50 / TM27 25.62,36.5,28.5,42.11 2 6230 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2320 projected ED50 / TM30 28.5,36.06,31.5,41.46 2 6230 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2321 projected ED50 / TM33 31.5,35.97,34.5,42.07 2 6230 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2322 projected ED50 / TM36 34.5,35.81,37.5,42.15 2 6230 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2323 projected ED50 / TM39 37.5,36.66,40.5,41.19 2 6230 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2324 projected ED50 / TM42 40.5,37.02,43.5,41.6 2 6230 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2325 projected ED50 / TM45 43.5,36.97,44.83,41.02 2 6230 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +2326 projected Hong Kong 1980 Grid System 113.76,22.13,114.51,22.58 1 6611 +proj=tmerc +lat_0=22.3121333333333 +lon_0=114.178555555556 +k=1 +x_0=836694.05 +y_0=819069.8 +ellps=intl +towgs84=-162.619,-276.959,-161.764,0.067753,-2.243648,-1.158828,-1.094246 +units=m +no_defs +2327 projected Xian 1980 / Gauss-Kruger zone 13 73.62,35.42,78.01,41.07 6610 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2328 projected Xian 1980 / Gauss-Kruger zone 14 77.98,29.16,84,47.23 6610 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2329 projected Xian 1980 / Gauss-Kruger zone 15 84,27.32,90,49.18 6610 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2330 projected Xian 1980 / Gauss-Kruger zone 16 90,27.71,96.01,47.9 6610 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2331 projected Xian 1980 / Gauss-Kruger zone 17 96,21.13,102.01,43.18 6610 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2332 projected Xian 1980 / Gauss-Kruger zone 18 102,21.53,108,42.47 6610 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2333 projected Xian 1980 / Gauss-Kruger zone 19 108,18.11,114,45.11 6610 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2334 projected Xian 1980 / Gauss-Kruger zone 20 114,22.14,120,51.52 6610 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2335 projected Xian 1980 / Gauss-Kruger zone 21 120,26.34,126,53.56 6610 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2336 projected Xian 1980 / Gauss-Kruger zone 22 126,40.89,132,52.79 6610 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2337 projected Xian 1980 / Gauss-Kruger zone 23 132,45.02,134.77,48.4 6610 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2338 projected Xian 1980 / Gauss-Kruger CM 75E 73.62,35.42,78.01,41.07 6610 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2339 projected Xian 1980 / Gauss-Kruger CM 81E 77.98,29.16,84,47.23 6610 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2340 projected Xian 1980 / Gauss-Kruger CM 87E 84,27.32,90,49.18 6610 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2341 projected Xian 1980 / Gauss-Kruger CM 93E 90,27.71,96.01,47.9 6610 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2342 projected Xian 1980 / Gauss-Kruger CM 99E 96,21.13,102.01,43.18 6610 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2343 projected Xian 1980 / Gauss-Kruger CM 105E 102,21.53,108,42.47 6610 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2344 projected Xian 1980 / Gauss-Kruger CM 111E 108,18.11,114,45.11 6610 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2345 projected Xian 1980 / Gauss-Kruger CM 117E 114,22.14,120,51.52 6610 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2346 projected Xian 1980 / Gauss-Kruger CM 123E 120,26.34,126,53.56 6610 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2347 projected Xian 1980 / Gauss-Kruger CM 129E 126,40.89,132,52.79 6610 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2348 projected Xian 1980 / Gauss-Kruger CM 135E 132,45.02,134.77,48.4 6610 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2349 projected Xian 1980 / 3-degree Gauss-Kruger zone 25 73.62,35.81,76.5,40.65 6610 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2350 projected Xian 1980 / 3-degree Gauss-Kruger zone 26 76.5,31.03,79.5,41.83 6610 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2351 projected Xian 1980 / 3-degree Gauss-Kruger zone 27 79.5,29.95,82.51,45.88 6610 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2352 projected Xian 1980 / 3-degree Gauss-Kruger zone 28 82.5,28.26,85.5,47.23 6610 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2353 projected Xian 1980 / 3-degree Gauss-Kruger zone 29 85.5,27.8,88.5,49.18 6610 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2354 projected Xian 1980 / 3-degree Gauss-Kruger zone 30 88.49,27.32,91.51,48.42 6610 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2355 projected Xian 1980 / 3-degree Gauss-Kruger zone 31 91.5,27.71,94.5,45.13 6610 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2356 projected Xian 1980 / 3-degree Gauss-Kruger zone 32 94.5,28.23,97.51,44.5 6610 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2357 projected Xian 1980 / 3-degree Gauss-Kruger zone 33 97.5,21.43,100.5,42.76 6610 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2358 projected Xian 1980 / 3-degree Gauss-Kruger zone 34 100.5,21.13,103.5,42.69 6610 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2359 projected Xian 1980 / 3-degree Gauss-Kruger zone 35 103.5,22.5,106.51,42.21 6610 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2360 projected Xian 1980 / 3-degree Gauss-Kruger zone 36 106.5,18.19,109.51,42.47 6610 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2361 projected Xian 1980 / 3-degree Gauss-Kruger zone 37 109.5,18.11,112.5,45.11 6610 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2362 projected Xian 1980 / 3-degree Gauss-Kruger zone 38 112.5,21.52,115.5,45.45 6610 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2363 projected Xian 1980 / 3-degree Gauss-Kruger zone 39 115.5,22.6,118.5,49.88 6610 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2364 projected Xian 1980 / 3-degree Gauss-Kruger zone 40 118.5,24.43,121.5,53.33 6610 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2365 projected Xian 1980 / 3-degree Gauss-Kruger zone 41 121.5,28.22,124.5,53.56 6610 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2366 projected Xian 1980 / 3-degree Gauss-Kruger zone 42 124.5,40.19,127.5,53.2 6610 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2367 projected Xian 1980 / 3-degree Gauss-Kruger zone 43 127.5,41.37,130.5,50.25 6610 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2368 projected Xian 1980 / 3-degree Gauss-Kruger zone 44 130.5,42.42,133.5,48.88 6610 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2369 projected Xian 1980 / 3-degree Gauss-Kruger zone 45 133.5,45.85,134.77,48.4 6610 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2370 projected Xian 1980 / 3-degree Gauss-Kruger CM 75E 73.62,35.81,76.5,40.65 6610 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2371 projected Xian 1980 / 3-degree Gauss-Kruger CM 78E 76.5,31.03,79.5,41.83 6610 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2372 projected Xian 1980 / 3-degree Gauss-Kruger CM 81E 79.5,29.95,82.51,45.88 6610 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2373 projected Xian 1980 / 3-degree Gauss-Kruger CM 84E 82.5,28.26,85.5,47.23 6610 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2374 projected Xian 1980 / 3-degree Gauss-Kruger CM 87E 85.5,27.8,88.5,49.18 6610 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2375 projected Xian 1980 / 3-degree Gauss-Kruger CM 90E 88.49,27.32,91.51,48.42 6610 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2376 projected Xian 1980 / 3-degree Gauss-Kruger CM 93E 91.5,27.71,94.5,45.13 6610 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2377 projected Xian 1980 / 3-degree Gauss-Kruger CM 96E 94.5,28.23,97.51,44.5 6610 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2378 projected Xian 1980 / 3-degree Gauss-Kruger CM 99E 97.5,21.43,100.5,42.76 6610 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2379 projected Xian 1980 / 3-degree Gauss-Kruger CM 102E 100.5,21.13,103.5,42.69 6610 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2380 projected Xian 1980 / 3-degree Gauss-Kruger CM 105E 103.5,22.5,106.51,42.21 6610 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2381 projected Xian 1980 / 3-degree Gauss-Kruger CM 108E 106.5,18.19,109.51,42.47 6610 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2382 projected Xian 1980 / 3-degree Gauss-Kruger CM 111E 109.5,18.11,112.5,45.11 6610 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2383 projected Xian 1980 / 3-degree Gauss-Kruger CM 114E 112.5,21.52,115.5,45.45 6610 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2384 projected Xian 1980 / 3-degree Gauss-Kruger CM 117E 115.5,22.6,118.5,49.88 6610 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2385 projected Xian 1980 / 3-degree Gauss-Kruger CM 120E 118.5,24.43,121.5,53.33 6610 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2386 projected Xian 1980 / 3-degree Gauss-Kruger CM 123E 121.5,28.22,124.5,53.56 6610 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2387 projected Xian 1980 / 3-degree Gauss-Kruger CM 126E 124.5,40.19,127.5,53.2 6610 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2388 projected Xian 1980 / 3-degree Gauss-Kruger CM 129E 127.5,41.37,130.5,50.25 6610 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2389 projected Xian 1980 / 3-degree Gauss-Kruger CM 132E 130.5,42.42,133.5,48.88 6610 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2390 projected Xian 1980 / 3-degree Gauss-Kruger CM 135E 133.5,45.85,134.77,48.4 6610 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=IAU76 +units=m +no_defs +2391 projected KKJ / Finland zone 1 19.5,59.76,22.5,69.33 1 6123 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=1500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +no_defs +2392 projected KKJ / Finland zone 2 22.5,59.75,25.5,68.9 1 6123 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +no_defs +2393 projected KKJ / Finland Uniform Coordinate System 25.5,60.18,28.51,70.09 1 6123 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=3500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +no_defs +2394 projected KKJ / Finland zone 4 28.5,60.94,31.5,69.81 1 6123 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=4500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +no_defs +2395 projected South Yemen / Gauss-Kruger zone 8 43.37,12.54,48.01,17.95 5 6164 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=-76,-138,67 +units=m +no_defs +2396 projected South Yemen / Gauss-Kruger zone 9 48,13.94,53.14,19 5 6164 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=-76,-138,67 +units=m +no_defs +2397 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 3 9.92,50.35,10.5,51.56 2 6178 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +towgs84=24,-123,-94,0.02,-0.25,-0.13,1.1 +units=m +no_defs +2398 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 4 10.5,48.97,13.5,54.74 2 6178 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=24,-123,-94,0.02,-0.25,-0.13,1.1 +units=m +no_defs +2399 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 5 13.5,46.54,16.5,54.72 5 6178 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=26,-121,-78 +units=m +no_defs +2401 projected Beijing 1954 / 3-degree Gauss-Kruger zone 25 73.62,35.81,76.5,40.65 6214 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25500000 +y_0=0 +ellps=krass +units=m +no_defs +2402 projected Beijing 1954 / 3-degree Gauss-Kruger zone 26 76.5,31.03,79.5,41.83 1 6214 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2403 projected Beijing 1954 / 3-degree Gauss-Kruger zone 27 79.5,29.95,82.51,45.88 1 6214 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2404 projected Beijing 1954 / 3-degree Gauss-Kruger zone 28 82.5,28.26,85.5,47.23 1 6214 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2405 projected Beijing 1954 / 3-degree Gauss-Kruger zone 29 85.5,27.8,88.5,49.18 1 6214 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2406 projected Beijing 1954 / 3-degree Gauss-Kruger zone 30 88.49,27.32,91.51,48.42 6214 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30500000 +y_0=0 +ellps=krass +units=m +no_defs +2407 projected Beijing 1954 / 3-degree Gauss-Kruger zone 31 91.5,27.71,94.5,45.13 6214 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31500000 +y_0=0 +ellps=krass +units=m +no_defs +2408 projected Beijing 1954 / 3-degree Gauss-Kruger zone 32 94.5,28.23,97.51,44.5 6214 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32500000 +y_0=0 +ellps=krass +units=m +no_defs +2409 projected Beijing 1954 / 3-degree Gauss-Kruger zone 33 97.5,21.43,100.5,42.76 6214 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33500000 +y_0=0 +ellps=krass +units=m +no_defs +2410 projected Beijing 1954 / 3-degree Gauss-Kruger zone 34 100.5,21.13,103.5,42.69 6214 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34500000 +y_0=0 +ellps=krass +units=m +no_defs +2411 projected Beijing 1954 / 3-degree Gauss-Kruger zone 35 103.5,22.5,106.51,42.21 6214 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35500000 +y_0=0 +ellps=krass +units=m +no_defs +2412 projected Beijing 1954 / 3-degree Gauss-Kruger zone 36 106.5,18.19,109.51,42.47 1 6214 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36500000 +y_0=0 +ellps=krass +towgs84=11.911,-154.833,-80.079 +units=m +no_defs +2413 projected Beijing 1954 / 3-degree Gauss-Kruger zone 37 109.5,18.11,112.5,45.11 15 6214 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +2414 projected Beijing 1954 / 3-degree Gauss-Kruger zone 38 112.5,21.52,115.5,45.45 15 6214 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +2415 projected Beijing 1954 / 3-degree Gauss-Kruger zone 39 115.5,22.6,118.5,49.88 15 6214 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +2416 projected Beijing 1954 / 3-degree Gauss-Kruger zone 40 118.5,24.43,121.5,53.33 15 6214 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +2417 projected Beijing 1954 / 3-degree Gauss-Kruger zone 41 121.5,28.22,124.5,53.56 15 6214 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +2418 projected Beijing 1954 / 3-degree Gauss-Kruger zone 42 124.5,40.19,127.5,53.2 6214 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42500000 +y_0=0 +ellps=krass +units=m +no_defs +2419 projected Beijing 1954 / 3-degree Gauss-Kruger zone 43 127.5,41.37,130.5,50.25 6214 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43500000 +y_0=0 +ellps=krass +units=m +no_defs +2420 projected Beijing 1954 / 3-degree Gauss-Kruger zone 44 130.5,42.42,133.5,48.88 6214 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44500000 +y_0=0 +ellps=krass +units=m +no_defs +2421 projected Beijing 1954 / 3-degree Gauss-Kruger zone 45 133.5,45.85,134.77,48.4 6214 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45500000 +y_0=0 +ellps=krass +units=m +no_defs +2422 projected Beijing 1954 / 3-degree Gauss-Kruger CM 75E 73.62,35.81,76.5,40.65 6214 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2423 projected Beijing 1954 / 3-degree Gauss-Kruger CM 78E 76.5,31.03,79.5,41.83 1 6214 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2424 projected Beijing 1954 / 3-degree Gauss-Kruger CM 81E 79.5,29.95,82.51,45.88 1 6214 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2425 projected Beijing 1954 / 3-degree Gauss-Kruger CM 84E 82.5,28.26,85.5,47.23 1 6214 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2426 projected Beijing 1954 / 3-degree Gauss-Kruger CM 87E 85.5,27.8,88.5,49.18 1 6214 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +2427 projected Beijing 1954 / 3-degree Gauss-Kruger CM 90E 88.49,27.32,91.51,48.42 6214 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2428 projected Beijing 1954 / 3-degree Gauss-Kruger CM 93E 91.5,27.71,94.5,45.13 6214 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2429 projected Beijing 1954 / 3-degree Gauss-Kruger CM 96E 94.5,28.23,97.51,44.5 6214 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2430 projected Beijing 1954 / 3-degree Gauss-Kruger CM 99E 97.5,21.43,100.5,42.76 6214 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2431 projected Beijing 1954 / 3-degree Gauss-Kruger CM 102E 100.5,21.13,103.5,42.69 6214 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2432 projected Beijing 1954 / 3-degree Gauss-Kruger CM 105E 103.5,22.5,106.51,42.21 6214 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2433 projected Beijing 1954 / 3-degree Gauss-Kruger CM 108E 106.5,18.19,109.51,42.47 1 6214 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=11.911,-154.833,-80.079 +units=m +no_defs +2434 projected Beijing 1954 / 3-degree Gauss-Kruger CM 111E 109.5,18.11,112.5,45.11 15 6214 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +2435 projected Beijing 1954 / 3-degree Gauss-Kruger CM 114E 112.5,21.52,115.5,45.45 15 6214 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +2436 projected Beijing 1954 / 3-degree Gauss-Kruger CM 117E 115.5,22.6,118.5,49.88 15 6214 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +2437 projected Beijing 1954 / 3-degree Gauss-Kruger CM 120E 118.5,24.43,121.5,53.33 15 6214 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +2438 projected Beijing 1954 / 3-degree Gauss-Kruger CM 123E 121.5,28.22,124.5,53.56 15 6214 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +2439 projected Beijing 1954 / 3-degree Gauss-Kruger CM 126E 124.5,40.19,127.5,53.2 6214 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2440 projected Beijing 1954 / 3-degree Gauss-Kruger CM 129E 127.5,41.37,130.5,50.25 6214 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2441 projected Beijing 1954 / 3-degree Gauss-Kruger CM 132E 130.5,42.42,133.5,48.88 6214 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2442 projected Beijing 1954 / 3-degree Gauss-Kruger CM 135E 133.5,45.85,134.77,48.4 6214 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +2443 projected JGD2000 / Japan Plane Rectangular CS I 128.17,26.96,130.46,34.74 1 6612 +proj=tmerc +lat_0=33 +lon_0=129.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2444 projected JGD2000 / Japan Plane Rectangular CS II 129.76,30.18,132.05,33.99 1 6612 +proj=tmerc +lat_0=33 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2445 projected JGD2000 / Japan Plane Rectangular CS III 130.81,33.72,133.49,36.38 1 6612 +proj=tmerc +lat_0=36 +lon_0=132.166666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2446 projected JGD2000 / Japan Plane Rectangular CS IV 131.95,32.69,134.81,34.45 1 6612 +proj=tmerc +lat_0=33 +lon_0=133.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2447 projected JGD2000 / Japan Plane Rectangular CS V 133.13,34.13,135.47,35.71 1 6612 +proj=tmerc +lat_0=36 +lon_0=134.333333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2448 projected JGD2000 / Japan Plane Rectangular CS VI 134.86,33.4,136.99,36.33 1 6612 +proj=tmerc +lat_0=36 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2449 projected JGD2000 / Japan Plane Rectangular CS VII 136.22,34.51,137.84,37.58 1 6612 +proj=tmerc +lat_0=36 +lon_0=137.166666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2450 projected JGD2000 / Japan Plane Rectangular CS VIII 137.32,34.54,139.91,38.58 1 6612 +proj=tmerc +lat_0=36 +lon_0=138.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2451 projected JGD2000 / Japan Plane Rectangular CS IX 138.4,29.31,141.11,37.98 1 6612 +proj=tmerc +lat_0=36 +lon_0=139.833333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2452 projected JGD2000 / Japan Plane Rectangular CS X 139.49,37.73,142.14,41.58 1 6612 +proj=tmerc +lat_0=40 +lon_0=140.833333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2453 projected JGD2000 / Japan Plane Rectangular CS XI 139.34,41.34,141.46,43.42 1 6612 +proj=tmerc +lat_0=44 +lon_0=140.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2454 projected JGD2000 / Japan Plane Rectangular CS XII 140.89,42.15,143.61,45.54 1 6612 +proj=tmerc +lat_0=44 +lon_0=142.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2455 projected JGD2000 / Japan Plane Rectangular CS XIII 142.61,41.87,145.87,44.4 1 6612 +proj=tmerc +lat_0=44 +lon_0=144.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2456 projected JGD2000 / Japan Plane Rectangular CS XIV 141.2,24.67,142.33,27.8 1 6612 +proj=tmerc +lat_0=26 +lon_0=142 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2457 projected JGD2000 / Japan Plane Rectangular CS XV 126.63,26.02,128.4,26.91 1 6612 +proj=tmerc +lat_0=26 +lon_0=127.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2458 projected JGD2000 / Japan Plane Rectangular CS XVI 122.83,23.98,125.51,24.94 1 6612 +proj=tmerc +lat_0=26 +lon_0=124 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2459 projected JGD2000 / Japan Plane Rectangular CS XVII 131.12,24.4,131.38,26.01 1 6612 +proj=tmerc +lat_0=26 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2460 projected JGD2000 / Japan Plane Rectangular CS XVIII 136.02,20.37,136.16,20.48 1 6612 +proj=tmerc +lat_0=20 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2461 projected JGD2000 / Japan Plane Rectangular CS XIX 153.91,24.22,154.05,24.35 1 6612 +proj=tmerc +lat_0=26 +lon_0=154 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2462 projected Albanian 1987 / Gauss-Kruger zone 4 19.22,39.64,21.06,42.67 1 6191 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=-44.183,-0.58,-38.489,2.3867,2.7072,-3.5196,-8.2703 +units=m +no_defs +2463 projected Pulkovo 1995 / Gauss-Kruger CM 21E 19.57,54.32,22.87,55.32 1 6200 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2464 projected Pulkovo 1995 / Gauss-Kruger CM 27E 26.61,55.69,30,69.47 1 6200 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2465 projected Pulkovo 1995 / Gauss-Kruger CM 33E 30,50.34,36,70.02 1 6200 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2466 projected Pulkovo 1995 / Gauss-Kruger CM 39E 36,43.18,42.01,69.23 1 6200 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2467 projected Pulkovo 1995 / Gauss-Kruger CM 45E 42,41.19,48,80.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2468 projected Pulkovo 1995 / Gauss-Kruger CM 51E 48,41.39,54,81.4 1 6200 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2469 projected Pulkovo 1995 / Gauss-Kruger CM 57E 54,50.47,60,81.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2470 projected Pulkovo 1995 / Gauss-Kruger CM 63E 60,50.66,66,81.77 1 6200 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2471 projected Pulkovo 1995 / Gauss-Kruger CM 69E 66,54.1,72,77.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2472 projected Pulkovo 1995 / Gauss-Kruger CM 75E 72,53.17,78,79.71 1 6200 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2473 projected Pulkovo 1995 / Gauss-Kruger CM 81E 78,50.69,84,81.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2474 projected Pulkovo 1995 / Gauss-Kruger CM 87E 84,49.07,90,81.27 1 6200 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2475 projected Pulkovo 1995 / Gauss-Kruger CM 93E 90,49.89,96,81.35 1 6200 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2476 projected Pulkovo 1995 / Gauss-Kruger CM 99E 96,49.73,102,81.32 1 6200 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2477 projected Pulkovo 1995 / Gauss-Kruger CM 105E 102,49.64,108,79.48 1 6200 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2478 projected Pulkovo 1995 / Gauss-Kruger CM 111E 108,49.14,114,76.81 1 6200 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2479 projected Pulkovo 1995 / Gauss-Kruger CM 117E 114,49.51,120,75.96 1 6200 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2480 projected Pulkovo 1995 / Gauss-Kruger CM 123E 120,51.51,126,74 1 6200 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2481 projected Pulkovo 1995 / Gauss-Kruger CM 129E 126,42.25,132,73.61 1 6200 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2482 projected Pulkovo 1995 / Gauss-Kruger CM 135E 132,42.63,138,76.15 1 6200 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2483 projected Pulkovo 1995 / Gauss-Kruger CM 141E 138,45.84,144,76.27 1 6200 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2484 projected Pulkovo 1995 / Gauss-Kruger CM 147E 144,43.6,150,76.82 1 6200 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2485 projected Pulkovo 1995 / Gauss-Kruger CM 153E 150,45.77,156,76.26 1 6200 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2486 projected Pulkovo 1995 / Gauss-Kruger CM 159E 156,50.27,162,77.2 1 6200 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2487 projected Pulkovo 1995 / Gauss-Kruger CM 165E 162,54.47,168,70.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2488 projected Pulkovo 1995 / Gauss-Kruger CM 171E 168,54.45,174,70.19 1 6200 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2489 projected Pulkovo 1995 / Gauss-Kruger CM 177E 174,61.65,180,71.59 1 6200 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2490 projected Pulkovo 1995 / Gauss-Kruger CM 177W -180,64.35,-174,71.65 1 6200 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2491 projected Pulkovo 1995 / Gauss-Kruger CM 171W -174,64.2,-168.97,67.18 1 6200 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2494 projected Pulkovo 1942 / Gauss-Kruger CM 21E 19.57,47.95,24,59.44 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2495 projected Pulkovo 1942 / Gauss-Kruger CM 27E 24,45.18,30.01,69.47 3 6284 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2496 projected Pulkovo 1942 / Gauss-Kruger CM 33E 30,44.32,36,70.02 3 6284 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2497 projected Pulkovo 1942 / Gauss-Kruger CM 39E 36,41.43,42,69.23 3 6284 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2498 projected Pulkovo 1942 / Gauss-Kruger CM 45E 42,38.84,48.01,80.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2499 projected Pulkovo 1942 / Gauss-Kruger CM 51E 48,37.34,54,81.4 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2500 projected Pulkovo 1942 / Gauss-Kruger CM 57E 54,37.05,60,81.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2501 projected Pulkovo 1942 / Gauss-Kruger CM 63E 60,35.14,66,81.77 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2502 projected Pulkovo 1942 / Gauss-Kruger CM 69E 66,36.67,72,77.07 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2503 projected Pulkovo 1942 / Gauss-Kruger CM 75E 72,36.79,78,79.71 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2504 projected Pulkovo 1942 / Gauss-Kruger CM 81E 78,41.04,84.01,81.03 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2505 projected Pulkovo 1942 / Gauss-Kruger CM 87E 84,46.82,90,81.27 3 6284 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2506 projected Pulkovo 1942 / Gauss-Kruger CM 93E 90,49.89,96,81.35 3 6284 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2507 projected Pulkovo 1942 / Gauss-Kruger CM 99E 96,49.73,102,81.32 3 6284 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2508 projected Pulkovo 1942 / Gauss-Kruger CM 105E 102,49.64,108,79.48 3 6284 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2509 projected Pulkovo 1942 / Gauss-Kruger CM 111E 108,49.14,114,76.81 3 6284 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2510 projected Pulkovo 1942 / Gauss-Kruger CM 117E 114,49.51,120,75.96 3 6284 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2511 projected Pulkovo 1942 / Gauss-Kruger CM 123E 120,51.51,126,74 3 6284 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2512 projected Pulkovo 1942 / Gauss-Kruger CM 129E 126,42.25,132,73.61 3 6284 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2513 projected Pulkovo 1942 / Gauss-Kruger CM 135E 132,42.63,138,76.15 3 6284 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2514 projected Pulkovo 1942 / Gauss-Kruger CM 141E 138,45.84,144,76.27 3 6284 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2515 projected Pulkovo 1942 / Gauss-Kruger CM 147E 144,43.6,150,76.82 3 6284 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2516 projected Pulkovo 1942 / Gauss-Kruger CM 153E 150,45.77,156,76.26 3 6284 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2517 projected Pulkovo 1942 / Gauss-Kruger CM 159E 156,50.27,162,77.2 3 6284 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2518 projected Pulkovo 1942 / Gauss-Kruger CM 165E 162,54.47,168,70.03 3 6284 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2519 projected Pulkovo 1942 / Gauss-Kruger CM 171E 168,54.45,174,70.19 3 6284 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2520 projected Pulkovo 1942 / Gauss-Kruger CM 177E 174,61.65,180,71.59 3 6284 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2521 projected Pulkovo 1942 / Gauss-Kruger CM 177W -180,64.35,-174,71.65 3 6284 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2522 projected Pulkovo 1942 / Gauss-Kruger CM 171W -174,64.2,-168.97,67.18 3 6284 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2523 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 7 19.57,48.24,22.5,59.1 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2524 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 8 22.5,47.71,25.5,59.75 3 6284 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2525 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 9 25.49,45.26,28.51,68.93 3 6284 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2526 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 10 28.5,45.18,31.5,69.85 3 6284 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2527 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 11 31.5,44.32,34.5,70.02 3 6284 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=11500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2528 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 12 34.5,44.61,37.5,69.39 3 6284 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=12500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2529 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 13 37.5,43.07,40.5,68.8 3 6284 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2530 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 14 40.5,41.01,43.51,68.74 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=14500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2531 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 15 43.5,38.84,46.5,80.8 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=15500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2532 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 16 46.5,38.31,49.5,80.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=16500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2533 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 17 49.5,37.66,52.5,81.22 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=17500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2534 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 18 52.5,37.33,55.5,81.41 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=54 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2535 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 19 55.5,37.64,58.5,81.89 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2536 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 20 58.5,35.51,61.5,81.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=60 +k=1 +x_0=20500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2537 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 21 61.5,35.14,64.5,81.77 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=21500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2538 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 22 64.5,36.27,67.5,81.25 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=66 +k=1 +x_0=22500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2539 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 23 67.5,36.93,70.5,77.07 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=23500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2540 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 24 70.5,36.67,73.5,73.57 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=72 +k=1 +x_0=24500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2541 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 25 73.5,37.22,76.5,79.71 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2542 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 26 76.5,40.44,79.5,81.03 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2543 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 27 79.5,41.82,82.5,81.03 3 6284 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2544 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 28 82.5,45.11,85.5,77.56 3 6284 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2545 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 29 85.5,47.05,88.5,77.16 3 6284 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2546 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 30 88.5,49.44,91.5,81.28 3 6284 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2547 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 31 91.5,50.16,94.5,81.26 3 6284 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2548 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 32 94.5,49.73,97.5,81.35 3 6284 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2549 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 33 97.5,49.79,100.5,80.9 3 6284 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2551 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 34 100.5,50.17,103.5,79.71 3 6284 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2552 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 35 103.5,50.13,106.5,79.21 3 6284 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2553 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 36 106.5,49.25,109.5,78.4 3 6284 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2554 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 37 109.5,49.14,112.5,76.81 3 6284 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2555 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 38 112.5,49.49,115.5,76.7 3 6284 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2556 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 39 115.5,49.51,118.5,74.43 3 6284 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2557 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 40 118.5,49.87,121.5,73.63 3 6284 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2558 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 41 121.5,53.18,124.5,74 3 6284 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2559 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 42 124.5,49.88,127.5,74 3 6284 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2560 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 43 127.5,42.67,130.5,73.59 3 6284 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2561 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 44 130.5,42.25,133.5,71.99 3 6284 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2562 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 45 133.5,42.74,136.5,75.9 3 6284 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2563 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 46 136.5,44.76,139.5,76.27 3 6284 +proj=tmerc +lat_0=0 +lon_0=138 +k=1 +x_0=46500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2564 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 47 139.5,45.84,142.5,76.23 3 6284 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=47500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2565 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 48 142.5,43.61,145.5,75.98 3 6284 +proj=tmerc +lat_0=0 +lon_0=144 +k=1 +x_0=48500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2566 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 49 145.5,43.6,148.5,76.76 3 6284 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=49500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2567 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 50 148.5,45.21,151.5,76.82 3 6284 +proj=tmerc +lat_0=0 +lon_0=150 +k=1 +x_0=50500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2568 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 51 151.5,46.72,154.5,76.26 3 6284 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=51500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2569 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 52 154.5,49.02,157.5,77.2 3 6284 +proj=tmerc +lat_0=0 +lon_0=156 +k=1 +x_0=52500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2570 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 53 157.5,51.36,160.5,71.12 3 6284 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=53500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2571 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 54 160.5,54.34,163.5,70.98 3 6284 +proj=tmerc +lat_0=0 +lon_0=162 +k=1 +x_0=54500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2572 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 55 163.5,54.69,166.5,69.82 3 6284 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=55500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2573 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 56 166.5,54.45,169.5,70.07 3 6284 +proj=tmerc +lat_0=0 +lon_0=168 +k=1 +x_0=56500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2574 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 57 169.5,59.86,172.5,70.19 3 6284 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=57500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2575 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 58 172.5,60.99,175.5,70.02 3 6284 +proj=tmerc +lat_0=0 +lon_0=174 +k=1 +x_0=58500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2576 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 59 175.5,62.09,178.5,71.1 3 6284 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=59500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2578 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 61 -178.5,64.74,-175.5,71.61 3 6284 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=61500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2579 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 62 -175.5,64.2,-172.5,67.78 3 6284 +proj=tmerc +lat_0=0 +lon_0=-174 +k=1 +x_0=62500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2580 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 63 -172.5,64.35,-169.57,67.06 3 6284 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=63500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2581 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 64 -169.22,65.7,-168.97,65.86 3 6284 +proj=tmerc +lat_0=0 +lon_0=-168 +k=1 +x_0=64500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2582 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 21E 19.57,48.24,22.5,59.1 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2583 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 24E 22.5,47.71,25.5,59.75 3 6284 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2584 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 27E 25.49,45.26,28.51,68.93 3 6284 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2585 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 30E 28.5,45.18,31.5,69.85 3 6284 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2586 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 33E 31.5,44.32,34.5,70.02 3 6284 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2587 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 36E 34.5,44.61,37.5,69.39 3 6284 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2588 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 39E 37.5,43.07,40.5,68.8 3 6284 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2589 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 42E 40.5,41.01,43.51,68.74 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2590 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 45E 43.5,38.84,46.5,80.8 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2591 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 48E 46.5,38.31,49.5,80.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2592 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 51E 49.5,37.66,52.5,81.22 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2593 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 54E 52.5,37.33,55.5,81.41 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=54 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2594 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 57E 55.5,37.64,58.5,81.89 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2595 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 60E 58.5,35.51,61.5,81.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=60 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2596 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 63E 61.5,35.14,64.5,81.77 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2597 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 66E 64.5,36.27,67.5,81.25 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=66 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2598 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 69E 67.5,36.93,70.5,77.07 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2599 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 72E 70.5,36.67,73.5,73.57 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=72 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2601 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 75E 73.5,37.22,76.5,79.71 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2602 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 78E 76.5,40.44,79.5,81.03 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2603 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 81E 79.5,41.82,82.5,81.03 3 6284 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2604 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 84E 82.5,45.11,85.5,77.56 3 6284 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2605 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 87E 85.5,47.05,88.5,77.16 3 6284 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2606 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 90E 88.5,49.44,91.5,81.28 3 6284 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2607 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 93E 91.5,50.16,94.5,81.26 3 6284 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2608 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 96E 94.5,49.73,97.5,81.35 3 6284 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2609 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 99E 97.5,49.79,100.5,80.9 3 6284 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2610 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 102E 100.5,50.17,103.5,79.71 3 6284 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2611 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 105E 103.5,50.13,106.5,79.21 3 6284 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2612 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 108E 106.5,49.25,109.5,78.4 3 6284 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2613 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 111E 109.5,49.14,112.5,76.81 3 6284 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2614 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 114E 112.5,49.49,115.5,76.7 3 6284 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2615 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 117E 115.5,49.51,118.5,74.43 3 6284 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2616 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 120E 118.5,49.87,121.5,73.63 3 6284 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2617 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 123E 121.5,53.18,124.5,74 3 6284 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2618 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 126E 124.5,49.88,127.5,74 3 6284 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2619 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 129E 127.5,42.67,130.5,73.59 3 6284 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2620 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 132E 130.5,42.25,133.5,71.99 3 6284 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2621 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 135E 133.5,42.74,136.5,75.9 3 6284 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2622 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 138E 136.5,44.76,139.5,76.27 3 6284 +proj=tmerc +lat_0=0 +lon_0=138 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2623 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 141E 139.5,45.84,142.5,76.23 3 6284 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2624 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 144E 142.5,43.61,145.5,75.98 3 6284 +proj=tmerc +lat_0=0 +lon_0=144 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2625 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 147E 145.5,43.6,148.5,76.76 3 6284 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2626 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 150E 148.5,45.21,151.5,76.82 3 6284 +proj=tmerc +lat_0=0 +lon_0=150 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2627 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 153E 151.5,46.72,154.5,76.26 3 6284 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2628 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 156E 154.5,49.02,157.5,77.2 3 6284 +proj=tmerc +lat_0=0 +lon_0=156 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2629 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 159E 157.5,51.36,160.5,71.12 3 6284 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2630 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 162E 160.5,54.34,163.5,70.98 3 6284 +proj=tmerc +lat_0=0 +lon_0=162 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2631 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 165E 163.5,54.69,166.5,69.82 3 6284 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2632 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 168E 166.5,54.45,169.5,70.07 3 6284 +proj=tmerc +lat_0=0 +lon_0=168 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2633 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 171E 169.5,59.86,172.5,70.19 3 6284 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2634 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 174E 172.5,60.99,175.5,70.02 3 6284 +proj=tmerc +lat_0=0 +lon_0=174 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2635 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 177E 175.5,62.09,178.5,71.1 3 6284 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2636 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 180E 178.5,62.24,-178.5,71.65 3 6284 +proj=tmerc +lat_0=0 +lon_0=180 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2637 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 177W -178.5,64.74,-175.5,71.61 3 6284 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2638 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 174W -175.5,64.2,-172.5,67.78 3 6284 +proj=tmerc +lat_0=0 +lon_0=-174 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2639 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 171W -172.5,64.35,-169.57,67.06 3 6284 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2640 projected Pulkovo 1942 / 3-degree Gauss-Kruger CM 168W -169.22,65.7,-168.97,65.86 3 6284 +proj=tmerc +lat_0=0 +lon_0=-168 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2641 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 7 19.57,54.32,22.5,55.32 1 6200 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2642 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 8 22.5,54.34,22.87,55.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2643 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 9 26.61,56.05,28.51,68.93 1 6200 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2644 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 10 28.5,52.85,31.5,69.85 1 6200 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2645 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 11 31.5,51.24,34.5,70.02 1 6200 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=11500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2646 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 12 34.5,44.61,37.51,69.39 1 6200 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=12500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2647 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 13 37.5,43.33,40.5,68.8 1 6200 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2648 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 14 40.5,42.87,43.5,68.74 1 6200 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=14500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2649 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 15 43.5,41.89,46.5,80.8 1 6200 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=15500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2650 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 16 46.5,41.19,49.5,80.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=16500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2651 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 17 49.5,42.36,52.5,81.22 1 6200 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=17500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2652 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 18 52.5,50.52,55.5,81.41 1 6200 +proj=tmerc +lat_0=0 +lon_0=54 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2653 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 19 55.5,50.53,58.5,81.89 1 6200 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2654 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 20 58.5,50.47,61.5,81.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=60 +k=1 +x_0=20500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2655 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 21 61.5,51.03,64.5,81.77 1 6200 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=21500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2656 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 22 64.5,54.31,67.5,81.25 1 6200 +proj=tmerc +lat_0=0 +lon_0=66 +k=1 +x_0=22500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2657 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 23 67.5,54.85,70.5,77.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=23500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2658 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 24 70.5,53.43,73.5,73.57 1 6200 +proj=tmerc +lat_0=0 +lon_0=72 +k=1 +x_0=24500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2659 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 25 73.5,53.47,76.5,79.71 1 6200 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2660 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 26 76.5,51.49,79.5,81.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2661 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 27 79.5,50.7,82.5,81.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2662 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 28 82.5,49.58,85.5,77.56 1 6200 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2663 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 29 85.5,49.07,88.5,77.16 1 6200 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2664 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 30 88.5,49.44,91.5,81.28 1 6200 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2665 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 31 91.5,50.16,94.5,81.26 1 6200 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2666 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 32 94.5,49.73,97.5,81.35 1 6200 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2667 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 33 97.5,49.79,100.5,80.9 1 6200 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2668 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 34 100.5,50.17,103.5,79.71 1 6200 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2669 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 35 103.5,50.13,106.5,79.21 1 6200 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2670 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 36 106.5,49.25,109.5,78.4 1 6200 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2671 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 37 109.5,49.14,112.5,76.81 1 6200 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2672 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 38 112.5,49.49,115.5,76.7 1 6200 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2673 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 39 115.5,49.51,118.5,74.43 1 6200 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2674 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 40 118.5,49.87,121.5,73.63 1 6200 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2675 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 41 121.5,53.18,124.5,74 1 6200 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2676 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 42 124.5,49.88,127.5,74 1 6200 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2677 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 43 127.5,42.67,130.5,73.59 1 6200 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2678 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 44 130.5,42.25,133.5,71.99 1 6200 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2679 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 45 133.5,42.74,136.5,75.9 1 6200 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2680 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 46 136.5,44.76,139.5,76.27 1 6200 +proj=tmerc +lat_0=0 +lon_0=138 +k=1 +x_0=46500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2681 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 47 139.5,45.84,142.5,76.23 1 6200 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=47500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2682 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 48 142.5,43.61,145.5,75.98 1 6200 +proj=tmerc +lat_0=0 +lon_0=144 +k=1 +x_0=48500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2683 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 49 145.5,43.6,148.5,76.76 1 6200 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=49500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2684 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 50 148.5,45.21,151.5,76.82 1 6200 +proj=tmerc +lat_0=0 +lon_0=150 +k=1 +x_0=50500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2685 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 51 151.5,46.72,154.5,76.26 1 6200 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=51500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2686 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 52 154.5,49.02,157.5,77.2 1 6200 +proj=tmerc +lat_0=0 +lon_0=156 +k=1 +x_0=52500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2687 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 53 157.5,51.36,160.5,71.12 1 6200 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=53500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2688 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 54 160.5,54.34,163.5,70.98 1 6200 +proj=tmerc +lat_0=0 +lon_0=162 +k=1 +x_0=54500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2689 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 55 163.5,54.69,166.5,69.82 1 6200 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=55500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2690 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 56 166.5,54.45,169.5,70.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=168 +k=1 +x_0=56500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2691 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 57 169.5,59.86,172.5,70.19 1 6200 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=57500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2692 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 58 172.5,60.99,175.5,70.02 1 6200 +proj=tmerc +lat_0=0 +lon_0=174 +k=1 +x_0=58500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2693 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 59 175.5,62.09,178.5,71.1 1 6200 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=59500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2695 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 61 -178.5,64.74,-175.5,71.61 1 6200 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=61500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2696 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 62 -175.5,64.2,-172.5,67.78 1 6200 +proj=tmerc +lat_0=0 +lon_0=-174 +k=1 +x_0=62500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2697 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 63 -172.5,64.35,-169.57,67.06 1 6200 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=63500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2698 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 64 -169.22,65.7,-168.97,65.86 1 6200 +proj=tmerc +lat_0=0 +lon_0=-168 +k=1 +x_0=64500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2699 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 21E 19.57,54.32,22.5,55.32 1 6200 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2700 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 24E 22.5,54.34,22.87,55.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2701 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 27E 26.61,56.05,28.51,68.93 1 6200 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2702 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 30E 28.5,52.85,31.5,69.85 1 6200 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2703 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 33E 31.5,51.24,34.5,70.02 1 6200 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2704 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 36E 34.5,44.61,37.51,69.39 1 6200 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2705 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 39E 37.5,43.33,40.5,68.8 1 6200 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2706 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 42E 40.5,42.87,43.5,68.74 1 6200 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2707 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 45E 43.5,41.89,46.5,80.8 1 6200 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2708 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 48E 46.5,41.19,49.5,80.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2709 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 51E 49.5,42.36,52.5,81.22 1 6200 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2710 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 54E 52.5,50.52,55.5,81.41 1 6200 +proj=tmerc +lat_0=0 +lon_0=54 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2711 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 57E 55.5,50.53,58.5,81.89 1 6200 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2712 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 60E 58.5,50.47,61.5,81.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=60 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2713 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 63E 61.5,51.03,64.5,81.77 1 6200 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2714 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 66E 64.5,54.31,67.5,81.25 1 6200 +proj=tmerc +lat_0=0 +lon_0=66 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2715 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 69E 67.5,54.85,70.5,77.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2716 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 72E 70.5,53.43,73.5,73.57 1 6200 +proj=tmerc +lat_0=0 +lon_0=72 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2717 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 75E 73.5,53.47,76.5,79.71 1 6200 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2718 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 78E 76.5,51.49,79.5,81.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2719 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 81E 79.5,50.7,82.5,81.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2720 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 84E 82.5,49.58,85.5,77.56 1 6200 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2721 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 87E 85.5,49.07,88.5,77.16 1 6200 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2722 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 90E 88.5,49.44,91.5,81.28 1 6200 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2723 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 93E 91.5,50.16,94.5,81.26 1 6200 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2724 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 96E 94.5,49.73,97.5,81.35 1 6200 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2725 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 99E 97.5,49.79,100.5,80.9 1 6200 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2726 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 102E 100.5,50.17,103.5,79.71 1 6200 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2727 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 105E 103.5,50.13,106.5,79.21 1 6200 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2728 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 108E 106.5,49.25,109.5,78.4 1 6200 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2729 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 111E 109.5,49.14,112.5,76.81 1 6200 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2730 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 114E 112.5,49.49,115.5,76.7 1 6200 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2731 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 117E 115.5,49.51,118.5,74.43 1 6200 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2732 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 120E 118.5,49.87,121.5,73.63 1 6200 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2733 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 123E 121.5,53.18,124.5,74 1 6200 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2734 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 126E 124.5,49.88,127.5,74 1 6200 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2735 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 129E 127.5,42.67,130.5,73.59 1 6200 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2736 projected Tete / UTM zone 36S 30.21,-26.87,36,-11.41 17 6127 +proj=utm +zone=36 +south +ellps=clrk66 +towgs84=-80,-100,-228 +units=m +no_defs +2737 projected Tete / UTM zone 37S 35.99,-18.98,40.9,-10.42 17 6127 +proj=utm +zone=37 +south +ellps=clrk66 +towgs84=-80,-100,-228 +units=m +no_defs +2738 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 132E 130.5,42.25,133.5,71.99 1 6200 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2739 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 135E 133.5,42.74,136.5,75.9 1 6200 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2740 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 138E 136.5,44.76,139.5,76.27 1 6200 +proj=tmerc +lat_0=0 +lon_0=138 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2741 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 141E 139.5,45.84,142.5,76.23 1 6200 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2742 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 144E 142.5,43.61,145.5,75.98 1 6200 +proj=tmerc +lat_0=0 +lon_0=144 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2743 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 147E 145.5,43.6,148.5,76.76 1 6200 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2744 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 150E 148.5,45.21,151.5,76.82 1 6200 +proj=tmerc +lat_0=0 +lon_0=150 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2745 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 153E 151.5,46.72,154.5,76.26 1 6200 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2746 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 156E 154.5,49.02,157.5,77.2 1 6200 +proj=tmerc +lat_0=0 +lon_0=156 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2747 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 159E 157.5,51.36,160.5,71.12 1 6200 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2748 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 162E 160.5,54.34,163.5,70.98 1 6200 +proj=tmerc +lat_0=0 +lon_0=162 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2749 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 165E 163.5,54.69,166.5,69.82 1 6200 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2750 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 168E 166.5,54.45,169.5,70.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=168 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2751 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 171E 169.5,59.86,172.5,70.19 1 6200 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2752 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 174E 172.5,60.99,175.5,70.02 1 6200 +proj=tmerc +lat_0=0 +lon_0=174 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2753 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 177E 175.5,62.09,178.5,71.1 1 6200 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2754 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 180E 178.5,62.24,-178.5,71.65 1 6200 +proj=tmerc +lat_0=0 +lon_0=180 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2755 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 177W -178.5,64.74,-175.5,71.61 1 6200 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2756 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 174W -175.5,64.2,-172.5,67.78 1 6200 +proj=tmerc +lat_0=0 +lon_0=-174 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2757 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 171W -172.5,64.35,-169.57,67.06 1 6200 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2758 projected Pulkovo 1995 / 3-degree Gauss-Kruger CM 168W -169.22,65.7,-168.97,65.86 1 6200 +proj=tmerc +lat_0=0 +lon_0=-168 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +2759 projected NAD83(HARN) / Alabama East -86.79,30.99,-84.89,35 1 6152 +proj=tmerc +lat_0=30.5 +lon_0=-85.8333333333333 +k=0.99996 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2760 projected NAD83(HARN) / Alabama West -88.48,30.14,-86.3,35.02 1 6152 +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2761 projected NAD83(HARN) / Arizona East -111.71,31.33,-109.04,37.01 1 6152 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2762 projected NAD83(HARN) / Arizona Central -113.35,31.33,-110.44,37.01 1 6152 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2763 projected NAD83(HARN) / Arizona West -114.81,32.05,-112.52,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2764 projected NAD83(HARN) / Arkansas North -94.62,34.67,-89.64,36.5 1 6152 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2765 projected NAD83(HARN) / Arkansas South -94.48,33.01,-90.4,35.1 1 6152 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2766 projected NAD83(HARN) / California zone 1 -124.45,39.59,-119.99,42.01 1 6152 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2767 projected NAD83(HARN) / California zone 2 -124.06,38.02,-119.54,40.16 1 6152 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2768 projected NAD83(HARN) / California zone 3 -123.02,36.73,-117.83,38.71 1 6152 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2769 projected NAD83(HARN) / California zone 4 -122.01,35.78,-115.62,37.58 1 6152 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2770 projected NAD83(HARN) / California zone 5 -121.42,32.76,-114.12,35.81 1 6152 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2771 projected NAD83(HARN) / California zone 6 -118.15,32.53,-114.42,34.08 1 6152 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2772 projected NAD83(HARN) / Colorado North -109.06,39.56,-102.04,41.01 1 6152 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2773 projected NAD83(HARN) / Colorado Central -109.06,38.14,-102.04,40.09 1 6152 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2774 projected NAD83(HARN) / Colorado South -109.06,36.98,-102.04,38.68 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2775 projected NAD83(HARN) / Connecticut -73.73,40.98,-71.78,42.05 1 6152 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.6096 +y_0=152400.3048 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2776 projected NAD83(HARN) / Delaware -75.8,38.44,-74.97,39.85 1 6152 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2777 projected NAD83(HARN) / Florida East -82.33,24.41,-79.97,30.83 1 6152 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2778 projected NAD83(HARN) / Florida West -83.34,26.27,-81.13,29.6 1 6152 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2779 projected NAD83(HARN) / Florida North -87.63,29.21,-82.04,31.01 1 6152 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2780 projected NAD83(HARN) / Georgia East -83.47,30.36,-80.77,34.68 1 6152 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2781 projected NAD83(HARN) / Georgia West -85.61,30.62,-82.99,35.01 1 6152 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2782 projected NAD83(HARN) / Hawaii zone 1 -156.1,18.87,-154.74,20.33 2 6152 +proj=tmerc +lat_0=18.8333333333333 +lon_0=-155.5 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2783 projected NAD83(HARN) / Hawaii zone 2 -157.36,20.45,-155.93,21.26 2 6152 +proj=tmerc +lat_0=20.3333333333333 +lon_0=-156.666666666667 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2784 projected NAD83(HARN) / Hawaii zone 3 -158.33,21.2,-157.61,21.75 2 6152 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2785 projected NAD83(HARN) / Hawaii zone 4 -159.85,21.81,-159.23,22.29 2 6152 +proj=tmerc +lat_0=21.8333333333333 +lon_0=-159.5 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2786 projected NAD83(HARN) / Hawaii zone 5 -160.3,21.73,-159.99,22.07 2 6152 +proj=tmerc +lat_0=21.6666666666667 +lon_0=-160.166666666667 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2787 projected NAD83(HARN) / Idaho East -113.24,41.99,-111.04,44.75 1 6152 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2788 projected NAD83(HARN) / Idaho Central -115.3,41.99,-112.67,45.7 1 6152 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2789 projected NAD83(HARN) / Idaho West -117.24,41.99,-114.32,49.01 1 6152 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2790 projected NAD83(HARN) / Illinois East -89.27,37.06,-87.02,42.5 1 6152 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2791 projected NAD83(HARN) / Illinois West -91.52,36.97,-88.92,42.51 1 6152 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2792 projected NAD83(HARN) / Indiana East -86.59,37.95,-84.78,41.77 1 6152 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=100000 +y_0=250000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2793 projected NAD83(HARN) / Indiana West -88.1,37.77,-86.24,41.77 1 6152 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=250000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2794 projected NAD83(HARN) / Iowa North -96.65,41.85,-90.15,43.51 1 6152 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2795 projected NAD83(HARN) / Iowa South -96.14,40.36,-90.14,42.04 1 6152 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2796 projected NAD83(HARN) / Kansas North -102.06,38.52,-94.58,40.01 1 6152 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2797 projected NAD83(HARN) / Kansas South -102.05,36.99,-94.6,38.88 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2798 projected NAD83(HARN) / Kentucky North -85.96,37.71,-82.47,39.15 1 6152 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2799 projected NAD83(HARN) / Kentucky South -89.57,36.49,-81.95,38.17 1 6152 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2800 projected NAD83(HARN) / Louisiana North -94.05,30.85,-90.86,33.03 1 6152 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2801 projected NAD83(HARN) / Louisiana South -93.94,28.85,-88.75,31.07 1 6152 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2802 projected NAD83(HARN) / Maine East -70.03,43.88,-66.91,47.47 1 6152 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2803 projected NAD83(HARN) / Maine West -71.09,43.04,-69.26,46.58 1 6152 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2804 projected NAD83(HARN) / Maryland -79.49,37.97,-74.97,39.73 1 6152 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2805 projected NAD83(HARN) / Massachusetts Mainland -73.5,41.46,-69.86,42.89 1 6152 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000 +y_0=750000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2806 projected NAD83(HARN) / Massachusetts Island -70.91,41.19,-69.89,41.51 1 6152 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2807 projected NAD83(HARN) / Michigan North -90.42,45.08,-83.44,48.32 1 6152 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=8000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2808 projected NAD83(HARN) / Michigan Central -87.06,43.8,-82.27,45.92 1 6152 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=6000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2809 projected NAD83(HARN) / Michigan South -87.2,41.69,-82.13,44.22 1 6152 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=4000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2810 projected NAD83(HARN) / Minnesota North -97.22,46.64,-89.49,49.38 1 6152 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2811 projected NAD83(HARN) / Minnesota Central -96.86,45.28,-92.29,47.48 1 6152 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2812 projected NAD83(HARN) / Minnesota South -96.85,43.49,-91.21,45.59 1 6152 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2813 projected NAD83(HARN) / Mississippi East -89.97,30.01,-88.09,35.01 1 6152 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2814 projected NAD83(HARN) / Mississippi West -91.65,31,-89.37,35.01 1 6152 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2815 projected NAD83(HARN) / Missouri East -91.97,35.98,-89.1,40.61 1 6152 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-90.5 +k=0.999933333 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2816 projected NAD83(HARN) / Missouri Central -93.79,36.48,-91.41,40.61 1 6152 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-92.5 +k=0.999933333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2817 projected NAD83(HARN) / Missouri West -95.77,36.48,-93.48,40.59 1 6152 +proj=tmerc +lat_0=36.1666666666667 +lon_0=-94.5 +k=0.999941177 +x_0=850000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2818 projected NAD83(HARN) / Montana -116.07,44.35,-104.04,49.01 1 6152 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2819 projected NAD83(HARN) / Nebraska -104.06,39.99,-95.3,43.01 1 6152 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2820 projected NAD83(HARN) / Nevada East -117.01,34.99,-114.03,42 1 6152 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000 +y_0=8000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2821 projected NAD83(HARN) / Nevada Central -118.19,36,-114.99,41 1 6152 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000 +y_0=6000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2822 projected NAD83(HARN) / Nevada West -120,36.95,-116.99,42 1 6152 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000 +y_0=4000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2823 projected NAD83(HARN) / New Hampshire -72.56,42.69,-70.63,45.31 1 6152 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2824 projected NAD83(HARN) / New Jersey -75.6,38.87,-73.88,41.36 1 6152 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2825 projected NAD83(HARN) / New Mexico East -105.72,32,-102.99,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2826 projected NAD83(HARN) / New Mexico Central -107.73,31.78,-104.84,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2827 projected NAD83(HARN) / New Mexico West -109.06,31.33,-106.32,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2828 projected NAD83(HARN) / New York East -75.87,40.88,-73.23,45.02 1 6152 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2829 projected NAD83(HARN) / New York Central -77.75,41.99,-75.06,44.41 1 6152 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2830 projected NAD83(HARN) / New York West -79.77,41.99,-77.36,43.64 1 6152 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2831 projected NAD83(HARN) / New York Long Island -74.26,40.47,-71.8,41.3 1 6152 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2832 projected NAD83(HARN) / North Dakota North -104.07,47.15,-96.83,49.01 1 6152 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2833 projected NAD83(HARN) / North Dakota South -104.05,45.93,-96.55,47.83 1 6152 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2834 projected NAD83(HARN) / Ohio North -84.81,40.1,-80.51,42.33 1 6152 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2835 projected NAD83(HARN) / Ohio South -84.83,38.4,-80.7,40.36 1 6152 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2836 projected NAD83(HARN) / Oklahoma North -103,35.27,-94.42,37.01 1 6152 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2837 projected NAD83(HARN) / Oklahoma South -100,33.62,-94.42,35.57 1 6152 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2838 projected NAD83(HARN) / Oregon North -124.17,43.95,-116.47,46.26 1 6152 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2839 projected NAD83(HARN) / Oregon South -124.6,41.98,-116.9,44.56 1 6152 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2840 projected NAD83(HARN) / Rhode Island -71.85,41.13,-71.08,42.02 1 6152 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=100000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2841 projected NAD83(HARN) / South Dakota North -104.07,44.14,-96.45,45.95 1 6152 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2842 projected NAD83(HARN) / South Dakota South -104.06,42.48,-96.43,44.79 1 6152 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2843 projected NAD83(HARN) / Tennessee -90.31,34.98,-81.65,36.68 1 6152 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2844 projected NAD83(HARN) / Texas North -103.03,34.3,-99.99,36.5 1 6152 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000 +y_0=1000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2845 projected NAD83(HARN) / Texas North Central -103.07,31.72,-94,34.58 1 6152 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2846 projected NAD83(HARN) / Texas Central -106.66,29.78,-93.5,32.27 1 6152 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=700000 +y_0=3000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2847 projected NAD83(HARN) / Texas South Central -105,27.78,-93.76,30.67 1 6152 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=4000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2848 projected NAD83(HARN) / Texas South -100.2,25.83,-96.85,28.21 1 6152 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2849 projected NAD83(HARN) / Utah North -114.04,40.55,-109.04,42.01 1 6152 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000 +y_0=1000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2850 projected NAD83(HARN) / Utah Central -114.05,38.49,-109.04,41.08 1 6152 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000 +y_0=2000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2851 projected NAD83(HARN) / Utah South -114.05,36.99,-109.04,38.58 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000 +y_0=3000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2852 projected NAD83(HARN) / Vermont -73.44,42.72,-71.5,45.03 1 6152 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2853 projected NAD83(HARN) / Virginia North -80.06,37.77,-76.51,39.46 1 6152 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000 +y_0=2000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2854 projected NAD83(HARN) / Virginia South -83.68,36.54,-75.31,38.28 1 6152 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000 +y_0=1000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2855 projected NAD83(HARN) / Washington North -124.79,47.08,-117.02,49.05 1 6152 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2856 projected NAD83(HARN) / Washington South -124.4,45.54,-116.91,47.61 1 6152 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2857 projected NAD83(HARN) / West Virginia North -81.76,38.76,-77.72,40.64 1 6152 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2858 projected NAD83(HARN) / West Virginia South -82.65,37.2,-79.05,39.17 1 6152 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2859 projected NAD83(HARN) / Wisconsin North -92.89,45.37,-88.05,47.31 1 6152 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2860 projected NAD83(HARN) / Wisconsin Central -92.89,43.98,-86.25,45.8 1 6152 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2861 projected NAD83(HARN) / Wisconsin South -91.43,42.48,-86.95,44.33 1 6152 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2862 projected NAD83(HARN) / Wyoming East -106.33,40.99,-104.05,45.01 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2863 projected NAD83(HARN) / Wyoming East Central -108.63,40.99,-106,45.01 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=400000 +y_0=100000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2864 projected NAD83(HARN) / Wyoming West Central -111.06,40.99,-107.5,45.01 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2865 projected NAD83(HARN) / Wyoming West -111.06,40.99,-109.04,44.67 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2866 projected NAD83(HARN) / Puerto Rico and Virgin Is. -67.97,17.62,-64.51,18.57 2 6152 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=200000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2867 projected NAD83(HARN) / Arizona East (ft) -111.71,31.33,-109.04,37.01 1 6152 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2868 projected NAD83(HARN) / Arizona Central (ft) -113.35,31.33,-110.44,37.01 1 6152 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2869 projected NAD83(HARN) / Arizona West (ft) -114.81,32.05,-112.52,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2870 projected NAD83(HARN) / California zone 1 (ftUS) -124.45,39.59,-119.99,42.01 1 6152 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2871 projected NAD83(HARN) / California zone 2 (ftUS) -124.06,38.02,-119.54,40.16 1 6152 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2872 projected NAD83(HARN) / California zone 3 (ftUS) -123.02,36.73,-117.83,38.71 1 6152 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2873 projected NAD83(HARN) / California zone 4 (ftUS) -122.01,35.78,-115.62,37.58 1 6152 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2874 projected NAD83(HARN) / California zone 5 (ftUS) -121.42,32.76,-114.12,35.81 1 6152 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2875 projected NAD83(HARN) / California zone 6 (ftUS) -118.15,32.53,-114.42,34.08 1 6152 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2876 projected NAD83(HARN) / Colorado North (ftUS) -109.06,39.56,-102.04,41.01 1 6152 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2877 projected NAD83(HARN) / Colorado Central (ftUS) -109.06,38.14,-102.04,40.09 1 6152 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2878 projected NAD83(HARN) / Colorado South (ftUS) -109.06,36.98,-102.04,38.68 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2879 projected NAD83(HARN) / Connecticut (ftUS) -73.73,40.98,-71.78,42.05 1 6152 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.609601219 +y_0=152400.30480061 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2880 projected NAD83(HARN) / Delaware (ftUS) -75.8,38.44,-74.97,39.85 1 6152 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2881 projected NAD83(HARN) / Florida East (ftUS) -82.33,24.41,-79.97,30.83 1 6152 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2882 projected NAD83(HARN) / Florida West (ftUS) -83.34,26.27,-81.13,29.6 1 6152 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2883 projected NAD83(HARN) / Florida North (ftUS) -87.63,29.21,-82.04,31.01 1 6152 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2884 projected NAD83(HARN) / Georgia East (ftUS) -83.47,30.36,-80.77,34.68 1 6152 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2885 projected NAD83(HARN) / Georgia West (ftUS) -85.61,30.62,-82.99,35.01 1 6152 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2886 projected NAD83(HARN) / Idaho East (ftUS) -113.24,41.99,-111.04,44.75 1 6152 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2887 projected NAD83(HARN) / Idaho Central (ftUS) -115.3,41.99,-112.67,45.7 1 6152 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2888 projected NAD83(HARN) / Idaho West (ftUS) -117.24,41.99,-114.32,49.01 1 6152 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2891 projected NAD83(HARN) / Kentucky North (ftUS) -85.96,37.71,-82.47,39.15 1 6152 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2892 projected NAD83(HARN) / Kentucky South (ftUS) -89.57,36.49,-81.95,38.17 1 6152 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2893 projected NAD83(HARN) / Maryland (ftUS) -79.49,37.97,-74.97,39.73 1 6152 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=399999.9998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2894 projected NAD83(HARN) / Massachusetts Mainland (ftUS) -73.5,41.46,-69.86,42.89 1 6152 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000.0001016 +y_0=750000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2895 projected NAD83(HARN) / Massachusetts Island (ftUS) -70.91,41.19,-69.89,41.51 1 6152 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2896 projected NAD83(HARN) / Michigan North (ft) -90.42,45.08,-83.44,48.32 1 6152 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=7999999.999968 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2897 projected NAD83(HARN) / Michigan Central (ft) -87.06,43.8,-82.27,45.92 1 6152 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=5999999.999976 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2898 projected NAD83(HARN) / Michigan South (ft) -87.2,41.69,-82.13,44.22 1 6152 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=3999999.999984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2899 projected NAD83(HARN) / Mississippi East (ftUS) -89.97,30.01,-88.09,35.01 1 6152 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2900 projected NAD83(HARN) / Mississippi West (ftUS) -91.65,31,-89.37,35.01 1 6152 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2901 projected NAD83(HARN) / Montana (ft) -116.07,44.35,-104.04,49.01 1 6152 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2902 projected NAD83(HARN) / New Mexico East (ftUS) -105.72,32,-102.99,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2903 projected NAD83(HARN) / New Mexico Central (ftUS) -107.73,31.78,-104.84,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2904 projected NAD83(HARN) / New Mexico West (ftUS) -109.06,31.33,-106.32,37 1 6152 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2905 projected NAD83(HARN) / New York East (ftUS) -75.87,40.88,-73.23,45.02 1 6152 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2906 projected NAD83(HARN) / New York Central (ftUS) -77.75,41.99,-75.06,44.41 1 6152 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=249999.9998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2907 projected NAD83(HARN) / New York West (ftUS) -79.77,41.99,-77.36,43.64 1 6152 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2908 projected NAD83(HARN) / New York Long Island (ftUS) -74.26,40.47,-71.8,41.3 1 6152 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2909 projected NAD83(HARN) / North Dakota North (ft) -104.07,47.15,-96.83,49.01 1 6152 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2910 projected NAD83(HARN) / North Dakota South (ft) -104.05,45.93,-96.55,47.83 1 6152 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2911 projected NAD83(HARN) / Oklahoma North (ftUS) -103,35.27,-94.42,37.01 1 6152 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2912 projected NAD83(HARN) / Oklahoma South (ftUS) -100,33.62,-94.42,35.57 1 6152 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2913 projected NAD83(HARN) / Oregon North (ft) -124.17,43.95,-116.47,46.26 1 6152 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2914 projected NAD83(HARN) / Oregon South (ft) -124.6,41.98,-116.9,44.56 1 6152 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2915 projected NAD83(HARN) / Tennessee (ftUS) -90.31,34.98,-81.65,36.68 1 6152 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2916 projected NAD83(HARN) / Texas North (ftUS) -103.03,34.3,-99.99,36.5 1 6152 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2917 projected NAD83(HARN) / Texas North Central (ftUS) -103.07,31.72,-94,34.58 1 6152 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2918 projected NAD83(HARN) / Texas Central (ftUS) -106.66,29.78,-93.5,32.27 1 6152 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=699999.9998984 +y_0=3000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2919 projected NAD83(HARN) / Texas South Central (ftUS) -105,27.78,-93.76,30.67 1 6152 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=3999999.9998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2920 projected NAD83(HARN) / Texas South (ftUS) -100.2,25.83,-96.85,28.21 1 6152 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2921 projected NAD83(HARN) / Utah North (ft) -114.04,40.55,-109.04,42.01 1 6152 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.0001504 +y_0=999999.999996 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2922 projected NAD83(HARN) / Utah Central (ft) -114.05,38.49,-109.04,41.08 1 6152 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.0001504 +y_0=1999999.999992 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2923 projected NAD83(HARN) / Utah South (ft) -114.05,36.99,-109.04,38.58 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.0001504 +y_0=2999999.999988 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2924 projected NAD83(HARN) / Virginia North (ftUS) -80.06,37.77,-76.51,39.46 1 6152 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000.0001016 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2925 projected NAD83(HARN) / Virginia South (ftUS) -83.68,36.54,-75.31,38.28 1 6152 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2926 projected NAD83(HARN) / Washington North (ftUS) -124.79,47.08,-117.02,49.05 1 6152 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2927 projected NAD83(HARN) / Washington South (ftUS) -124.4,45.54,-116.91,47.61 1 6152 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2928 projected NAD83(HARN) / Wisconsin North (ftUS) -92.89,45.37,-88.05,47.31 1 6152 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2929 projected NAD83(HARN) / Wisconsin Central (ftUS) -92.89,43.98,-86.25,45.8 1 6152 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2930 projected NAD83(HARN) / Wisconsin South (ftUS) -91.43,42.48,-86.95,44.33 1 6152 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2931 projected Beduaram / TM 13 NE 7.81,12.8,14.9,16.7 15 6213 +proj=tmerc +lat_0=0 +lon_0=13 +k=0.9996 +x_0=500000 +y_0=0 +ellps=clrk80ign +towgs84=-106,-87,188 +units=m +no_defs +2932 projected QND95 / Qatar National Grid 50.69,24.55,51.68,26.2 0 6614 +proj=tmerc +lat_0=24.45 +lon_0=51.2166666666667 +k=0.99999 +x_0=200000 +y_0=300000 +ellps=intl +towgs84=-119.4248,-303.65872,-11.00061,1.164298,0.174458,1.096259,3.657065 +units=m +no_defs +2933 projected Segara / UTM zone 50S 116.72,-1.24,117.99,0 1 6613 +proj=utm +zone=50 +south +ellps=bessel +towgs84=-404.78,685.68,45.47 +units=m +no_defs +2935 projected Pulkovo 1942 / CS63 zone A1 39.99,41.37,43.04,43.59 3 6284 +proj=tmerc +lat_0=0.116666666666667 +lon_0=41.5333333333333 +k=1 +x_0=1300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2936 projected Pulkovo 1942 / CS63 zone A2 43.03,38.87,46.04,43.05 4.5 6284 +proj=tmerc +lat_0=0.116666666666667 +lon_0=44.5333333333333 +k=1 +x_0=2300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2937 projected Pulkovo 1942 / CS63 zone A3 46.03,38.38,49.04,42.1 4.5 6284 +proj=tmerc +lat_0=0.116666666666667 +lon_0=47.5333333333333 +k=1 +x_0=3300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2938 projected Pulkovo 1942 / CS63 zone A4 49.03,37.89,51.73,42.59 4.5 6284 +proj=tmerc +lat_0=0.116666666666667 +lon_0=50.5333333333333 +k=1 +x_0=4300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2939 projected Pulkovo 1942 / CS63 zone K2 49.26,41.15,52.27,51.77 4.5 6284 +proj=tmerc +lat_0=0.133333333333333 +lon_0=50.7666666666667 +k=1 +x_0=2300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +2940 projected Pulkovo 1942 / CS63 zone K3 52.26,41.46,55.27,51.79 3 6284 +proj=tmerc +lat_0=0.133333333333333 +lon_0=53.7666666666667 +k=1 +x_0=3300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2941 projected Pulkovo 1942 / CS63 zone K4 55.26,41.26,58.27,51.14 3 6284 +proj=tmerc +lat_0=0.133333333333333 +lon_0=56.7666666666667 +k=1 +x_0=4300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +2942 projected Porto Santo / UTM zone 28N -17.31,32.35,-16.23,33.15 44 6615 +proj=utm +zone=28 +ellps=intl +towgs84=-499,-249,314 +units=m +no_defs +2943 projected Selvagem Grande / UTM zone 28N -16.11,29.98,-15.79,30.21 44 6616 +proj=utm +zone=28 +ellps=intl +towgs84=-289,-124,60 +units=m +no_defs +2945 projected NAD83(CSRS) / MTM zone 3 -60,47.5,-57.1,55.38 1 6140 +proj=tmerc +lat_0=0 +lon_0=-58.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2946 projected NAD83(CSRS) / MTM zone 4 -63,47.16,-60,58.92 1 6140 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2947 projected NAD83(CSRS) / MTM zone 5 -66,47.95,-63,60.52 1 6140 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2948 projected NAD83(CSRS) / MTM zone 6 -69,47.31,-66,59 1 6140 +proj=tmerc +lat_0=0 +lon_0=-67.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2949 projected NAD83(CSRS) / MTM zone 7 -72,45.01,-69,61.8 1 6140 +proj=tmerc +lat_0=0 +lon_0=-70.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2950 projected NAD83(CSRS) / MTM zone 8 -75,44.98,-72,62.53 1 6140 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2951 projected NAD83(CSRS) / MTM zone 9 -78,43.63,-75,62.65 1 6140 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2952 projected NAD83(CSRS) / MTM zone 10 -81,42.26,-78,62.45 1 6140 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2953 projected NAD83(CSRS) / New Brunswick Stereographic -69.05,44.56,-63.7,48.07 1 6140 +proj=sterea +lat_0=46.5 +lon_0=-66.5 +k=0.999912 +x_0=2500000 +y_0=7500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2954 projected NAD83(CSRS) / Prince Edward Isl. Stereographic (NAD83) -64.49,45.9,-61.9,47.09 1 6140 +proj=sterea +lat_0=47.25 +lon_0=-63 +k=0.999912 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2955 projected NAD83(CSRS) / UTM zone 11N -120,48.99,-114,83.5 1 6140 +proj=utm +zone=11 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2956 projected NAD83(CSRS) / UTM zone 12N -114,48.99,-108,84 1 6140 +proj=utm +zone=12 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2957 projected NAD83(CSRS) / UTM zone 13N -108,48.99,-102,84 1 6140 +proj=utm +zone=13 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2958 projected NAD83(CSRS) / UTM zone 17N -84,41.67,-78,84 1 6140 +proj=utm +zone=17 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2959 projected NAD83(CSRS) / UTM zone 18N -78,43.63,-72,84 1 6140 +proj=utm +zone=18 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2960 projected NAD83(CSRS) / UTM zone 19N -72,40.8,-66,84 1 6140 +proj=utm +zone=19 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2961 projected NAD83(CSRS) / UTM zone 20N -66,38.21,-59.99,84 1 6140 +proj=utm +zone=20 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2962 projected NAD83(CSRS) / UTM zone 21N -60,38.56,-54,84 1 6140 +proj=utm +zone=21 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2964 projected NAD27 / Alaska Albers 172.42,51.3,-129.99,71.4 12 6267 +proj=aea +lat_0=50 +lon_0=-154 +lat_1=55 +lat_2=65 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +2965 projected NAD83 / Indiana East (ftUS) -86.59,37.95,-84.78,41.77 4 6269 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=99999.9998983998 +y_0=249999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2966 projected NAD83 / Indiana West (ftUS) -88.1,37.77,-86.24,41.77 4 6269 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=249999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +2967 projected NAD83(HARN) / Indiana East (ftUS) -86.59,37.95,-84.78,41.77 1 6152 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=99999.9998983998 +y_0=249999.9998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2968 projected NAD83(HARN) / Indiana West (ftUS) -88.1,37.77,-86.24,41.77 1 6152 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=249999.9998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +2969 projected Fort Marigot / UTM zone 20N -63.21,17.82,-62.73,18.17 10 6621 +proj=utm +zone=20 +ellps=intl +towgs84=137,248,-430 +units=m +no_defs +2970 projected Guadeloupe 1948 / UTM zone 20N -61.85,15.8,-60.97,16.55 0.1 6622 +proj=utm +zone=20 +ellps=intl +towgs84=-472.29,-5.63,-304.12,0.4362,-0.8374,0.2563,1.8984 +units=m +no_defs +2971 projected CSG67 / UTM zone 22N -54,3.43,-51.61,5.81 10 6623 +proj=utm +zone=22 +ellps=intl +towgs84=-186,230,110 +units=m +no_defs +2972 projected RGFG95 / UTM zone 22N -54,2.17,-49.45,8.88 1 6624 +proj=utm +zone=22 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2973 projected Martinique 1938 / UTM zone 20N -61.29,14.35,-60.76,14.93 0.1 6625 +proj=utm +zone=20 +ellps=intl +towgs84=126.93,547.94,130.41,-2.7867,5.1612,-0.8584,13.8227 +units=m +no_defs +2975 projected RGR92 / UTM zone 40S 54,-24.72,58.24,-18.28 1 6627 +proj=utm +zone=40 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2976 projected Tahiti 52 / UTM zone 6S -150,-17.93,-149.09,-17.41 10 6628 +proj=utm +zone=6 +south +ellps=intl +towgs84=162,117,154 +units=m +no_defs +2977 projected Tahaa 54 / UTM zone 5S -151.91,-16.96,-150.89,-16.17 1 6629 +proj=utm +zone=5 +south +ellps=intl +towgs84=72.51,345.411,79.241,-1.5862,-0.8826,-0.5495,1.3653 +units=m +no_defs +2978 projected IGN72 Nuku Hiva / UTM zone 7S -140.31,-9.57,-139.44,-8.72 10 6630 +proj=utm +zone=7 +south +ellps=intl +towgs84=84,274,65 +units=m +no_defs +2980 projected Combani 1950 / UTM zone 38S 44.98,-13.05,45.35,-12.61 10 6632 +proj=utm +zone=38 +south +ellps=intl +towgs84=-382,-59,-262 +units=m +no_defs +2981 projected IGN56 Lifou / UTM zone 58S 166.98,-21.24,167.52,-20.62 1 6633 +proj=utm +zone=58 +south +ellps=intl +towgs84=335.47,222.58,-230.94 +units=m +no_defs +2985 projected Petrels 1972 / Terre Adelie Polar Stereographic 139.44,-66.78,141.5,-66.1 10 6636 +proj=stere +lat_0=-90 +lat_ts=-67 +lon_0=140 +x_0=300000 +y_0=-2299363.4878305923 +ellps=intl +towgs84=365,194,166 +units=m +no_defs +2986 projected Perroud 1950 / Terre Adelie Polar Stereographic 136,-67.13,142,-65.61 10 6637 +proj=stere +lat_0=-90 +lat_ts=-67 +lon_0=140 +x_0=300000 +y_0=-2299363.4878305923 +ellps=intl +towgs84=325,154,172 +units=m +no_defs +2987 projected Saint Pierre et Miquelon 1950 / UTM zone 21N -56.48,46.69,-56.07,47.19 1 6638 +proj=utm +zone=21 +ellps=clrk66 +towgs84=11.363,424.148,373.13 +units=m +no_defs +2988 projected MOP78 / UTM zone 1S -176.25,-13.41,-176.07,-13.16 10 6639 +proj=utm +zone=1 +south +ellps=intl +towgs84=253,-132,-127 +units=m +no_defs +2991 projected NAD83 / Oregon LCC (m) -124.6,41.98,-116.47,46.26 4 6269 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +2992 projected NAD83 / Oregon GIC Lambert (ft) -124.6,41.98,-116.47,46.26 4 6269 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +2993 projected NAD83(HARN) / Oregon LCC (m) -124.6,41.98,-116.47,46.26 1 6152 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +2994 projected NAD83(HARN) / Oregon GIC Lambert (ft) -124.6,41.98,-116.47,46.26 1 6152 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +2995 projected IGN53 Mare / UTM zone 58S 167.75,-21.71,168,-21.32 2 6641 +proj=utm +zone=58 +south +ellps=intl +towgs84=287.58,177.78,-135.41 +units=m +no_defs +2996 projected ST84 Ile des Pins / UTM zone 58S 167.36,-22.73,167.61,-22.49 10 6642 +proj=utm +zone=58 +south +ellps=intl +towgs84=-13,-348,292 +units=m +no_defs +2997 projected ST71 Belep / UTM zone 58S 163.54,-19.85,163.75,-19.5 1 6643 +proj=utm +zone=58 +south +ellps=intl +towgs84=-480.26,-438.32,-643.429,16.3119,20.1721,-4.0349,-111.7002 +units=m +no_defs +2998 projected NEA74 Noumea / UTM zone 58S 166.35,-22.37,166.54,-22.19 1 6644 +proj=utm +zone=58 +south +ellps=intl +towgs84=-10.18,-350.43,291.37 +units=m +no_defs +2999 projected Grand Comoros / UTM zone 38S 43.16,-11.99,43.55,-11.31 6646 +proj=utm +zone=38 +south +ellps=intl +towgs84=-963,510,-359 +units=m +no_defs +3000 projected Segara / NEIEZ 114.55,-4.24,119.06,4.29 5 6613 +proj=merc +lon_0=110 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +towgs84=-387.06,636.53,46.29 +units=m +no_defs +3001 projected Batavia / NEIEZ 95.16,-8.91,115.77,5.97 6 6211 +proj=merc +lon_0=110 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +towgs84=-377,681,-50 +units=m +no_defs +3002 projected Makassar / NEIEZ 118.71,-6.54,120.78,-1.88 6257 +proj=merc +lon_0=110 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +towgs84=-587.8,519.75,145.76 +units=m +no_defs +3003 projected Monte Mario / Italy zone 1 5.93,36.53,12,47.04 4 6265 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9996 +x_0=1500000 +y_0=0 +ellps=intl +towgs84=-104.1,-49.1,-9.9,0.971,-2.917,0.714,-11.68 +units=m +no_defs +3004 projected Monte Mario / Italy zone 2 12,34.76,18.99,47.1 4 6265 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9996 +x_0=2520000 +y_0=0 +ellps=intl +towgs84=-104.1,-49.1,-9.9,0.971,-2.917,0.714,-11.68 +units=m +no_defs +3005 projected NAD83 / BC Albers -139.04,48.25,-114.08,60.01 4 6269 +proj=aea +lat_0=45 +lon_0=-126 +lat_1=50 +lat_2=58.5 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3006 projected SWEREF99 TM 10.03,54.96,24.17,69.07 1 6619 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3007 projected SWEREF99 12 00 10.93,56.74,13.11,60.13 1 6619 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3008 projected SWEREF99 13 30 12.12,55.28,14.79,62.28 1 6619 +proj=tmerc +lat_0=0 +lon_0=13.5 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3009 projected SWEREF99 15 00 13.54,55.95,16.15,61.62 1 6619 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3010 projected SWEREF99 16 30 15.41,56.15,17.63,62.26 1 6619 +proj=tmerc +lat_0=0 +lon_0=16.5 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3011 projected SWEREF99 18 00 17.08,58.66,19.61,60.7 1 6619 +proj=tmerc +lat_0=0 +lon_0=18 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3012 projected SWEREF99 14 15 11.93,61.55,15.55,64.39 1 6619 +proj=tmerc +lat_0=0 +lon_0=14.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3013 projected SWEREF99 15 45 13.66,60.44,17.01,65.13 1 6619 +proj=tmerc +lat_0=0 +lon_0=15.75 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3014 projected SWEREF99 17 15 14.31,62.12,19.04,67.19 1 6619 +proj=tmerc +lat_0=0 +lon_0=17.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3015 projected SWEREF99 18 45 17.18,56.86,20.22,66.17 1 6619 +proj=tmerc +lat_0=0 +lon_0=18.75 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3016 projected SWEREF99 20 15 16.08,63.45,23.28,69.07 1 6619 +proj=tmerc +lat_0=0 +lon_0=20.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3017 projected SWEREF99 21 45 19.63,65.01,22.91,66.43 1 6619 +proj=tmerc +lat_0=0 +lon_0=21.75 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3018 projected SWEREF99 23 15 21.85,65.49,24.17,68.14 1 6619 +proj=tmerc +lat_0=0 +lon_0=23.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3019 projected RT90 7.5 gon V 10.93,57.29,12.91,59.73 1 6124 +proj=tmerc +lat_0=0 +lon_0=11.3082777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +units=m +no_defs +3020 projected RT90 5 gon V 11.81,55.28,15.44,64.39 1 6124 +proj=tmerc +lat_0=0 +lon_0=13.5582777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +units=m +no_defs +3021 projected RT90 2.5 gon V 13.66,55.95,17.73,67.18 1 6124 +proj=tmerc +lat_0=0 +lon_0=15.8082777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +units=m +no_defs +3022 projected RT90 0 gon 16.08,56.86,20.22,68.54 1 6124 +proj=tmerc +lat_0=0 +lon_0=18.0582777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +units=m +no_defs +3023 projected RT90 2.5 gon O 18.4,63.37,22.2,69.07 1 6124 +proj=tmerc +lat_0=0 +lon_0=20.3082777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +units=m +no_defs +3024 projected RT90 5 gon O 21.34,65.24,24.17,68.58 1 6124 +proj=tmerc +lat_0=0 +lon_0=22.5582777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +units=m +no_defs +3025 projected RT38 7.5 gon V 10.93,57.29,12.91,59.73 6308 +proj=tmerc +lat_0=0 +lon_0=11.3082777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +3026 projected RT38 5 gon V 11.81,55.28,15.44,64.39 6308 +proj=tmerc +lat_0=0 +lon_0=13.5582777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +3027 projected RT38 2.5 gon V 13.66,55.95,17.73,67.18 6308 +proj=tmerc +lat_0=0 +lon_0=15.8082777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +3028 projected RT38 0 gon 16.08,56.86,20.22,68.54 6308 +proj=tmerc +lat_0=0 +lon_0=18.0582777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +3029 projected RT38 2.5 gon O 18.4,63.37,22.2,69.07 6308 +proj=tmerc +lat_0=0 +lon_0=20.3082777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +3030 projected RT38 5 gon O 21.34,65.24,24.17,68.58 6308 +proj=tmerc +lat_0=0 +lon_0=22.5582777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +3031 projected WGS 84 / Antarctic Polar Stereographic -180,-90,180,-60 6326 +proj=stere +lat_0=-90 +lat_ts=-71 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3032 projected WGS 84 / Australian Antarctic Polar Stereographic 45,-90,160,-60 6326 +proj=stere +lat_0=-90 +lat_ts=-71 +lon_0=70 +x_0=6000000 +y_0=6000000 +datum=WGS84 +units=m +no_defs +3033 projected WGS 84 / Australian Antarctic Lambert 45,-80,160,-60 6326 +proj=lcc +lat_0=-50 +lon_0=70 +lat_1=-68.5 +lat_2=-74.5 +x_0=6000000 +y_0=6000000 +datum=WGS84 +units=m +no_defs +3034 projected ETRS89-extended / LCC Europe -35.58,24.6,44.83,84.73 1 6258 +proj=lcc +lat_0=52 +lon_0=10 +lat_1=35 +lat_2=65 +x_0=4000000 +y_0=2800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3035 projected ETRS89-extended / LAEA Europe -35.58,24.6,44.83,84.73 1 6258 +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3036 projected Moznet / UTM zone 36S 30.21,-27.58,36,-11.41 1 6130 +proj=utm +zone=36 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3037 projected Moznet / UTM zone 37S 36,-27.71,42,-10.09 1 6130 +proj=utm +zone=37 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3040 projected ETRS89 / UTM zone 28N (N-E) -16.1,34.93,-11.99,72.44 1 6258 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3041 projected ETRS89 / UTM zone 29N (N-E) -12.01,34.91,-6,74.13 1 6258 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3042 projected ETRS89 / UTM zone 30N (N-E) -6.01,35.26,0,80.49 1 6258 +proj=utm +zone=30 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3043 projected ETRS89 / UTM zone 31N (N-E) 0,37,6.01,82.45 1 6258 +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3044 projected ETRS89 / UTM zone 32N (N-E) 6,36.53,12.01,84.01 1 6258 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3045 projected ETRS89 / UTM zone 33N (N-E) 12,34.49,18.01,84.01 1 6258 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3046 projected ETRS89 / UTM zone 34N (N-E) 18,33.59,24.01,84.01 1 6258 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3047 projected ETRS89 / UTM zone 35N (N-E) 24,33.26,30.01,84.01 1 6258 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3048 projected ETRS89 / UTM zone 36N (N-E) 30,33.91,36.01,84.01 1 6258 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3049 projected ETRS89 / UTM zone 37N (N-E) 36,72.99,38.01,79.07 1 6258 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3052 projected Reykjavik 1900 / Lambert 1900 -24.66,63.34,-13.38,66.59 10 6657 +proj=lcc +axis=wnu +lat_1=65 +lat_0=65 +lon_0=-19.022125 +k_0=1 +x_0=0 +y_0=0 +a=6377019.27 +rf=300 +towgs84=-28,199,5 +units=m +no_defs +3053 projected Hjorsey 1955 / Lambert 1955 -24.66,63.34,-13.38,66.59 7 6658 +proj=lcc +axis=wnu +lat_1=65 +lat_0=65 +lon_0=-18 +k_0=1 +x_0=-500000 +y_0=500000 +ellps=intl +towgs84=-73,47,-83 +units=m +no_defs +3054 projected Hjorsey 1955 / UTM zone 26N -24.66,64.71,-24,65.85 7 6658 +proj=utm +zone=26 +ellps=intl +towgs84=-73,47,-83 +units=m +no_defs +3055 projected Hjorsey 1955 / UTM zone 27N -24,63.34,-18,66.52 7 6658 +proj=utm +zone=27 +ellps=intl +towgs84=-73,47,-83 +units=m +no_defs +3056 projected Hjorsey 1955 / UTM zone 28N -18,63.45,-13.38,66.58 7 6658 +proj=utm +zone=28 +ellps=intl +towgs84=-73,47,-83 +units=m +no_defs +3057 projected ISN93 / Lambert 1993 -30.87,59.96,-5.55,69.59 1 6659 +proj=lcc +lat_0=65 +lon_0=-19 +lat_1=64.25 +lat_2=65.75 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3058 projected Helle 1954 / Jan Mayen Grid -9.17,70.75,-7.87,71.24 1 6660 +proj=tmerc +lat_0=0 +lon_0=-8.5 +k=1 +x_0=50000 +y_0=-7800000 +ellps=intl +towgs84=982.6087,552.753,-540.873,6.68162662527694,-31.6114924086422,-19.8481610048168,16.805 +units=m +no_defs +3059 projected LKS-92 / Latvia TM 19.06,55.67,28.24,58.09 1 6661 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9996 +x_0=500000 +y_0=-6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3060 projected IGN72 Grande Terre / UTM zone 58S 163.92,-22.45,167.09,-20.03 2 6634 +proj=utm +zone=58 +south +ellps=intl +towgs84=-11.64,-348.6,291.98 +units=m +no_defs +3061 projected Porto Santo 1995 / UTM zone 28N -17.31,32.35,-16.23,33.15 1 6663 +proj=utm +zone=28 +ellps=intl +towgs84=-210.502,-66.902,-48.476,2.094,-15.067,-5.817,0.485 +units=m +no_defs +3062 projected Azores Oriental 1995 / UTM zone 26N -25.92,36.87,-24.72,37.96 1 6664 +proj=utm +zone=26 +ellps=intl +towgs84=-208.719,129.685,52.092,-0.195,-0.014,0.327,0.198 +units=m +no_defs +3063 projected Azores Central 1995 / UTM zone 26N -28.9,38.32,-26.97,39.14 1 6665 +proj=utm +zone=26 +ellps=intl +towgs84=-103.088,162.481,-28.276,0.167,0.082,0.168,-1.504 +units=m +no_defs +3064 projected IGM95 / UTM zone 32N 5.93,36.53,12,47.04 1 6670 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3065 projected IGM95 / UTM zone 33N 12,34.79,18,47.1 1 6670 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3066 projected ED50 / Jordan TM 34.88,29.18,39.31,33.38 2.5 6230 +proj=tmerc +lat_0=0 +lon_0=37 +k=0.9998 +x_0=500000 +y_0=-3000000 +ellps=intl +towgs84=-112,-110.3,-140.2 +units=m +no_defs +3067 projected EUREF-FIN / TM35FIN(E,N) 19.08,58.84,31.59,70.09 1 1391 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3068 projected DHDN / Soldner Berlin 13.09,52.33,13.76,52.65 2 6314 +proj=cass +lat_0=52.4186482777778 +lon_0=13.6272036666667 +x_0=40000 +y_0=10000 +ellps=bessel +towgs84=612.4,77,440.2,-0.054,0.057,-2.797,2.55 +units=m +no_defs +3069 projected NAD27 / Wisconsin Transverse Mercator -92.89,42.48,-86.25,47.31 10 6267 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9996 +x_0=500000 +y_0=-4500000 +ellps=clrk66 +towgs84=-8,160,176 +units=m +no_defs +3070 projected NAD83 / Wisconsin Transverse Mercator -92.89,42.48,-86.25,47.31 4 6269 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9996 +x_0=520000 +y_0=-4480000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3071 projected NAD83(HARN) / Wisconsin Transverse Mercator -92.89,42.48,-86.25,47.31 1 6152 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9996 +x_0=520000 +y_0=-4480000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3072 projected NAD83 / Maine CS2000 East -68.58,44.18,-66.91,47.37 4 6269 +proj=tmerc +lat_0=43.8333333333333 +lon_0=-67.875 +k=0.99998 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3074 projected NAD83 / Maine CS2000 West -71.09,43.07,-69.6,46.58 4 6269 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.375 +k=0.99998 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3075 projected NAD83(HARN) / Maine CS2000 East -68.58,44.18,-66.91,47.37 1 6152 +proj=tmerc +lat_0=43.8333333333333 +lon_0=-67.875 +k=0.99998 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3077 projected NAD83(HARN) / Maine CS2000 West -71.09,43.07,-69.6,46.58 1 6152 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.375 +k=0.99998 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3078 projected NAD83 / Michigan Oblique Mercator -90.42,41.69,-82.13,48.32 4 6269 +proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3079 projected NAD83(HARN) / Michigan Oblique Mercator -90.42,41.69,-82.13,48.32 1 6152 +proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3080 projected NAD27 / Shackleford -106.66,25.83,-93.5,36.5 7 6267 +proj=lcc +lat_0=31.1666666666667 +lon_0=-100 +lat_1=27.4166666666667 +lat_2=34.9166666666667 +x_0=914400 +y_0=914400 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.3048 +no_defs +3081 projected NAD83 / Texas State Mapping System -106.66,25.83,-93.5,36.5 4 6269 +proj=lcc +lat_0=31.1666666666667 +lon_0=-100 +lat_1=27.4166666666667 +lat_2=34.9166666666667 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3082 projected NAD83 / Texas Centric Lambert Conformal -106.66,25.83,-93.5,36.5 4 6269 +proj=lcc +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3083 projected NAD83 / Texas Centric Albers Equal Area -106.66,25.83,-93.5,36.5 4 6269 +proj=aea +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3084 projected NAD83(HARN) / Texas Centric Lambert Conformal -106.66,25.83,-93.5,36.5 1 6152 +proj=lcc +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3085 projected NAD83(HARN) / Texas Centric Albers Equal Area -106.66,25.83,-93.5,36.5 1 6152 +proj=aea +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=6000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3086 projected NAD83 / Florida GDL Albers -87.63,24.41,-79.97,31.01 4 6269 +proj=aea +lat_0=24 +lon_0=-84 +lat_1=24 +lat_2=31.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3087 projected NAD83(HARN) / Florida GDL Albers -87.63,24.41,-79.97,31.01 1 6152 +proj=aea +lat_0=24 +lon_0=-84 +lat_1=24 +lat_2=31.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3088 projected NAD83 / Kentucky Single Zone -89.57,36.49,-81.95,39.15 4 6269 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3089 projected NAD83 / Kentucky Single Zone (ftUS) -89.57,36.49,-81.95,39.15 4 6269 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3090 projected NAD83(HARN) / Kentucky Single Zone -89.57,36.49,-81.95,39.15 1 6152 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3091 projected NAD83(HARN) / Kentucky Single Zone (ftUS) -89.57,36.49,-81.95,39.15 1 6152 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=999999.9998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3092 projected Tokyo / UTM zone 51N 123.62,23.98,125.51,24.94 9 6301 +proj=utm +zone=51 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +3093 projected Tokyo / UTM zone 52N 126.63,24.4,132,34.9 9 6301 +proj=utm +zone=52 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +3094 projected Tokyo / UTM zone 53N 132,20.37,138,37.58 9 6301 +proj=utm +zone=53 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +3095 projected Tokyo / UTM zone 54N 138,24.67,144,45.54 9 6301 +proj=utm +zone=54 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +3096 projected Tokyo / UTM zone 55N 144,42.84,145.87,44.4 9 6301 +proj=utm +zone=55 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +3097 projected JGD2000 / UTM zone 51N 122.38,21.1,126,29.71 1 6612 +proj=utm +zone=51 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3098 projected JGD2000 / UTM zone 52N 126,21.12,132,38.63 1 6612 +proj=utm +zone=52 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3099 projected JGD2000 / UTM zone 53N 132,17.09,138,43.55 1 6612 +proj=utm +zone=53 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3100 projected JGD2000 / UTM zone 54N 138,17.63,144,46.05 1 6612 +proj=utm +zone=54 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3101 projected JGD2000 / UTM zone 55N 144,23.03,147.86,45.65 1 6612 +proj=utm +zone=55 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3102 projected American Samoa 1962 / American Samoa Lambert -170.88,-14.43,-169.38,-14.11 44 6169 +proj=lcc +lat_1=-14.2666666666667 +lat_0=-14.2666666666667 +lon_0=-170 +k_0=1 +x_0=152400.30480061 +y_0=95169.3116586233 +ellps=clrk66 +towgs84=-115,118,426 +to_meter=0.304800609601219 +no_defs +3106 projected Gulshan 303 / TM 90 NE 88.01,20.52,92.67,26.64 1 6682 +proj=tmerc +lat_0=0 +lon_0=90 +k=0.9996 +x_0=500000 +y_0=0 +ellps=evrst30 +towgs84=283.729,735.942,261.143 +units=m +no_defs +3107 projected GDA94 / SA Lambert 128.99,-38.13,141.01,-25.99 3 6283 +proj=lcc +lat_0=-32 +lon_0=135 +lat_1=-28 +lat_2=-36 +x_0=1000000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3108 projected ETRS89 / Guernsey Grid -3.06,49.21,-2.03,49.94 1 6258 +proj=tmerc +lat_0=49.5 +lon_0=-2.41666666666667 +k=0.999997 +x_0=47000 +y_0=50000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3109 projected ETRS89 / Jersey Transverse Mercator -2.56,48.87,-1.81,49.44 1 6258 +proj=tmerc +lat_0=49.225 +lon_0=-2.135 +k=0.9999999 +x_0=40000 +y_0=70000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3110 projected AGD66 / Vicgrid66 140.96,-39.2,150.04,-33.98 3 6202 +proj=lcc +lat_0=-37 +lon_0=145 +lat_1=-36 +lat_2=-38 +x_0=2500000 +y_0=4500000 +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +3111 projected GDA94 / Vicgrid 140.96,-39.2,150.04,-33.98 3 6283 +proj=lcc +lat_0=-37 +lon_0=145 +lat_1=-36 +lat_2=-38 +x_0=2500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3112 projected GDA94 / Geoscience Australia Lambert 112.85,-43.7,153.69,-9.86 3 6283 +proj=lcc +lat_0=0 +lon_0=134 +lat_1=-18 +lat_2=-36 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3113 projected GDA94 / BCSG02 152.37,-29.36,153.69,-24.64 3 6283 +proj=tmerc +lat_0=-28 +lon_0=153 +k=0.99999 +x_0=50000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3114 projected MAGNA-SIRGAS / Colombia Far West zone -79.1,1.23,-78.58,2.48 1 6686 +proj=tmerc +lat_0=4.59620041666667 +lon_0=-80.0775079166667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3115 projected MAGNA-SIRGAS / Colombia West zone -78.59,0.03,-75.58,10.21 1 6686 +proj=tmerc +lat_0=4.59620041666667 +lon_0=-77.0775079166667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3116 projected MAGNA-SIRGAS / Colombia Bogota zone -75.59,-2.51,-72.58,11.82 1 6686 +proj=tmerc +lat_0=4.59620041666667 +lon_0=-74.0775079166667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3117 projected MAGNA-SIRGAS / Colombia East Central zone -72.59,-4.23,-69.58,12.52 1 6686 +proj=tmerc +lat_0=4.59620041666667 +lon_0=-71.0775079166667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3118 projected MAGNA-SIRGAS / Colombia East zone -69.59,-2.25,-66.87,6.31 1 6686 +proj=tmerc +lat_0=4.59620041666667 +lon_0=-68.0775079166667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3119 projected Douala 1948 / AEF west 8.45,2.16,10.4,4.99 10 6192 +proj=tmerc +lat_0=0 +lon_0=10.5 +k=0.999 +x_0=1000000 +y_0=1000000 +ellps=intl +towgs84=-206.1,-174.7,-87.7 +units=m +no_defs +3120 projected Pulkovo 1942(58) / Poland zone I 18,49,24.15,52.34 1 6179 +proj=sterea +lat_0=50.625 +lon_0=21.0833333333333 +k=0.9998 +x_0=4637000 +y_0=5467000 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3121 projected PRS92 / Philippines zone 1 116.04,6.21,118,18.64 0.05 6683 +proj=tmerc +lat_0=0 +lon_0=117 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-127.62,-67.24,-47.04,-3.068,4.903,1.578,-1.06 +units=m +no_defs +3122 projected PRS92 / Philippines zone 2 118,3.02,120.07,20.42 0.05 6683 +proj=tmerc +lat_0=0 +lon_0=119 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-127.62,-67.24,-47.04,-3.068,4.903,1.578,-1.06 +units=m +no_defs +3123 projected PRS92 / Philippines zone 3 119.7,3,122.21,21.62 0.05 6683 +proj=tmerc +lat_0=0 +lon_0=121 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-127.62,-67.24,-47.04,-3.068,4.903,1.578,-1.06 +units=m +no_defs +3124 projected PRS92 / Philippines zone 4 121.74,3.44,124.29,22.18 0.05 6683 +proj=tmerc +lat_0=0 +lon_0=123 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-127.62,-67.24,-47.04,-3.068,4.903,1.578,-1.06 +units=m +no_defs +3125 projected PRS92 / Philippines zone 5 123.73,4.76,126.65,21.97 0.05 6683 +proj=tmerc +lat_0=0 +lon_0=125 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-127.62,-67.24,-47.04,-3.068,4.903,1.578,-1.06 +units=m +no_defs +3126 projected EUREF-FIN / ETRS-GK19FIN 19.24,60.08,19.5,60.34 1 1391 +proj=tmerc +lat_0=0 +lon_0=19 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3127 projected EUREF-FIN / ETRS-GK20FIN 19.5,59.92,20.5,60.48 1 1391 +proj=tmerc +lat_0=0 +lon_0=20 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3128 projected EUREF-FIN / ETRS-GK21FIN 20.5,59.84,21.5,69.33 1 1391 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3129 projected EUREF-FIN / ETRS-GK22FIN 21.5,59.76,22.5,69.31 1 1391 +proj=tmerc +lat_0=0 +lon_0=22 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3130 projected EUREF-FIN / ETRS-GK23FIN 22.5,59.75,23.5,68.74 1 1391 +proj=tmerc +lat_0=0 +lon_0=23 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3131 projected EUREF-FIN / ETRS-GK24FIN 23.5,59.86,24.5,68.84 1 1391 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3132 projected EUREF-FIN / ETRS-GK25FIN 24.5,59.94,25.5,68.9 1 1391 +proj=tmerc +lat_0=0 +lon_0=25 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3133 projected EUREF-FIN / ETRS-GK26FIN 25.5,60.18,26.5,69.94 1 1391 +proj=tmerc +lat_0=0 +lon_0=26 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3134 projected EUREF-FIN / ETRS-GK27FIN 26.5,60.36,27.5,70.05 1 1391 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3135 projected EUREF-FIN / ETRS-GK28FIN 27.5,60.42,28.5,70.09 1 1391 +proj=tmerc +lat_0=0 +lon_0=28 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3136 projected EUREF-FIN / ETRS-GK29FIN 28.5,60.94,29.5,69.81 1 1391 +proj=tmerc +lat_0=0 +lon_0=29 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3137 projected EUREF-FIN / ETRS-GK30FIN 29.5,61.43,30.5,67.98 1 1391 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3138 projected EUREF-FIN / ETRS-GK31FIN 30.5,62.08,31.59,64.27 1 1391 +proj=tmerc +lat_0=0 +lon_0=31 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3139 projected Vanua Levu 1915 / Vanua Levu Grid 178.42,-17.07,-179.77,-16.1 50 6748 +proj=cass +hyperbolic +lat_0=-16.25 +lon_0=179.333333333333 +x_0=251727.9155424 +y_0=334519.953768 +a=6378306.3696 +b=6356571.996 +towgs84=51,391,-36 +to_meter=0.201168 +no_defs +3140 projected Viti Levu 1912 / Viti Levu Grid 177.19,-18.32,178.75,-17.25 5 6752 +proj=cass +lat_0=-18 +lon_0=178 +x_0=109435.392 +y_0=141622.272 +a=6378306.3696 +b=6356571.996 +towgs84=98,390,-22 +to_meter=0.201168 +no_defs +3141 projected Fiji 1956 / UTM zone 60S 176.81,-19.22,180,-16.1 7 6721 +proj=utm +zone=60 +south +ellps=intl +towgs84=265.025,384.929,-194.046 +units=m +no_defs +3142 projected Fiji 1956 / UTM zone 1S -180,-17.04,-179.77,-16.1 7 6721 +proj=utm +zone=1 +south +ellps=intl +towgs84=265.025,384.929,-194.046 +units=m +no_defs +3144 projected FD54 / Faroe Lambert -7.49,61.33,-6.33,62.41 10 6741 +proj=lcc +axis=wnu +lat_1=62 +lat_0=62 +lon_0=-9 +k_0=1 +x_0=-500000 +y_0=500000 +ellps=intl +towgs84=-240.33,-267.41,-34.61 +units=m +no_defs +3145 projected ETRS89 / Faroe Lambert -7.49,61.33,-6.33,62.41 1 6258 +proj=lcc +axis=wnu +lat_1=62 +lat_0=62 +lon_0=-9 +k_0=1 +x_0=-500000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3148 projected Indian 1960 / UTM zone 48N 102.14,8.33,108,23.4 44 6131 +proj=utm +zone=48 +ellps=evrst30 +towgs84=198,881,317 +units=m +no_defs +3149 projected Indian 1960 / UTM zone 49N 108,10.43,109.53,21.56 44 6131 +proj=utm +zone=49 +ellps=evrst30 +towgs84=198,881,317 +units=m +no_defs +3152 projected ST74 17.75,59.22,18.2,59.43 1 6619 +proj=tmerc +lat_0=0 +lon_0=18.05779 +k=0.99999425 +x_0=100178.1808 +y_0=-6500614.7836 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3153 projected NAD83(CSRS) / BC Albers -139.04,48.25,-114.08,60.01 1 6140 +proj=aea +lat_0=45 +lon_0=-126 +lat_1=50 +lat_2=58.5 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3154 projected NAD83(CSRS) / UTM zone 7N -141.01,52.05,-138,72.53 1 6140 +proj=utm +zone=7 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3155 projected NAD83(CSRS) / UTM zone 8N -138,48.06,-132,79.42 1 6140 +proj=utm +zone=8 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3156 projected NAD83(CSRS) / UTM zone 9N -132,46.52,-126,80.93 1 6140 +proj=utm +zone=9 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3157 projected NAD83(CSRS) / UTM zone 10N -126,48.13,-120,81.8 1 6140 +proj=utm +zone=10 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3158 projected NAD83(CSRS) / UTM zone 14N -102,48.99,-96,84 1 6140 +proj=utm +zone=14 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3159 projected NAD83(CSRS) / UTM zone 15N -96,48.03,-90,84 1 6140 +proj=utm +zone=15 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3160 projected NAD83(CSRS) / UTM zone 16N -90,46.11,-84,84 1 6140 +proj=utm +zone=16 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3161 projected NAD83 / Ontario MNR Lambert -95.16,41.67,-74.35,56.9 4 6269 +proj=lcc +lat_0=0 +lon_0=-85 +lat_1=44.5 +lat_2=53.5 +x_0=930000 +y_0=6430000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3162 projected NAD83(CSRS) / Ontario MNR Lambert -95.16,41.67,-74.35,56.9 1 6140 +proj=lcc +lat_0=0 +lon_0=-85 +lat_1=44.5 +lat_2=53.5 +x_0=930000 +y_0=6430000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3163 projected RGNC91-93 / Lambert New Caledonia 163.54,-22.73,168.19,-19.5 1 6749 +proj=lcc +lat_0=-21.5 +lon_0=166 +lat_1=-20.6666666666667 +lat_2=-22.3333333333333 +x_0=400000 +y_0=300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3164 projected ST87 Ouvea / UTM zone 58S 166.44,-20.77,166.71,-20.34 1 6750 +proj=utm +zone=58 +south +ellps=WGS84 +towgs84=-56.263,16.136,-22.856 +units=m +no_defs +3165 projected NEA74 Noumea / Noumea Lambert 166.35,-22.37,166.54,-22.19 1 6644 +proj=lcc +lat_0=-22.26969175 +lon_0=166.44242575 +lat_1=-22.24469175 +lat_2=-22.29469175 +x_0=0.66 +y_0=1.02 +ellps=intl +towgs84=-10.18,-350.43,291.37 +units=m +no_defs +3166 projected NEA74 Noumea / Noumea Lambert 2 166.35,-22.37,166.54,-22.19 1 6644 +proj=lcc +lat_0=-22.2697222222222 +lon_0=166.4425 +lat_1=-22.2447222222222 +lat_2=-22.2947222222222 +x_0=8.313 +y_0=-2.354 +ellps=intl +towgs84=-10.18,-350.43,291.37 +units=m +no_defs +3167 projected Kertau (RSO) / RSO Malaya (ch) 99.59,1.21,104.6,6.72 15 6751 +proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.0257905 +gamma=323.130102361111 +k=0.99984 +x_0=804670.24 +y_0=0 +ellps=evrst69 +towgs84=-11,851,5 +to_meter=20.116756 +no_defs +3168 projected Kertau (RSO) / RSO Malaya (m) 99.59,1.21,104.6,6.72 15 6751 +proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.0257905 +gamma=323.130102361111 +k=0.99984 +x_0=804670.24 +y_0=0 +ellps=evrst69 +towgs84=-11,851,5 +units=m +no_defs +3169 projected RGNC91-93 / UTM zone 57S 156.25,-26.03,162.01,-15.34 1 6749 +proj=utm +zone=57 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3170 projected RGNC91-93 / UTM zone 58S 162,-26.45,168,-14.83 1 6749 +proj=utm +zone=58 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3171 projected RGNC91-93 / UTM zone 59S 168,-25.95,174.28,-19.75 1 6749 +proj=utm +zone=59 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3172 projected IGN53 Mare / UTM zone 59S 168,-21.71,168.19,-21.35 2 6641 +proj=utm +zone=59 +south +ellps=intl +towgs84=287.58,177.78,-135.41 +units=m +no_defs +3173 projected fk89 / Faroe Lambert FK89 -7.49,61.33,-6.33,62.41 6753 +proj=lcc +axis=wnu +lat_1=62 +lat_0=62 +lon_0=-9 +k_0=1 +x_0=-700000 +y_0=700000 +ellps=intl +units=m +no_defs +3174 projected NAD83 / Great Lakes Albers -93.17,40.99,-74.47,50.74 4 6269 +proj=aea +lat_0=45.568977 +lon_0=-84.455955 +lat_1=42.122774 +lat_2=49.01518 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3175 projected NAD83 / Great Lakes and St Lawrence Albers -93.17,40.99,-54.75,52.22 4 6269 +proj=aea +lat_0=45.568977 +lon_0=-83.248627 +lat_1=42.122774 +lat_2=49.01518 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3176 projected Indian 1960 / TM 106 NE 106.54,7.99,110,11.15 44 6131 +proj=tmerc +lat_0=0 +lon_0=106 +k=0.9996 +x_0=500000 +y_0=0 +ellps=evrst30 +towgs84=182,915,344 +units=m +no_defs +3177 projected LGD2006 / Libya TM 9.31,19.5,26.21,35.23 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=17 +k=0.9965 +x_0=1000000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3178 projected GR96 / UTM zone 18N -75,74.52,-72,79.04 1 1421 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3179 projected GR96 / UTM zone 19N -72,73.24,-66,80.9 1 1421 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3180 projected GR96 / UTM zone 20N -66,68.92,-60,82.22 1 1421 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3181 projected GR96 / UTM zone 21N -60,58.91,-54,84 1 1421 +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3182 projected GR96 / UTM zone 22N -54,56.9,-48,84 1 1421 +proj=utm +zone=22 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3183 projected GR96 / UTM zone 23N -48,56.38,-42,84 1 1421 +proj=utm +zone=23 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3184 projected GR96 / UTM zone 24N -42,56.56,-36,84 1 1421 +proj=utm +zone=24 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3185 projected GR96 / UTM zone 25N -36,60.16,-30,84 1 1421 +proj=utm +zone=25 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3186 projected GR96 / UTM zone 26N -30,64.96,-24,84 1 1421 +proj=utm +zone=26 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3187 projected GR96 / UTM zone 27N -24,67.7,-18,84 1 1421 +proj=utm +zone=27 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3188 projected GR96 / UTM zone 28N -18,68.67,-12,84 1 1421 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3189 projected GR96 / UTM zone 29N -12,72.43,-6,84 1 1421 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3190 projected LGD2006 / Libya TM zone 5 9.31,25.37,10.01,30.49 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3191 projected LGD2006 / Libya TM zone 6 10,23.51,12,33.23 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=11 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3192 projected LGD2006 / Libya TM zone 7 12,22.8,14,33.06 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=13 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3193 projected LGD2006 / Libya TM zone 8 14,22.61,16,32.79 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3194 projected LGD2006 / Libya TM zone 9 16,22.51,18.01,31.34 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=17 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3195 projected LGD2006 / Libya TM zone 10 18,21.54,20,32.17 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=19 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3196 projected LGD2006 / Libya TM zone 11 20,20.54,22,33 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3197 projected LGD2006 / Libya TM zone 12 22,19.5,24,32.97 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=23 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3198 projected LGD2006 / Libya TM zone 13 24,19.99,25.21,32.15 0.1 6754 +proj=tmerc +lat_0=0 +lon_0=25 +k=0.99995 +x_0=200000 +y_0=0 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3199 projected LGD2006 / UTM zone 32N 9.31,23.51,12,33.92 0.1 6754 +proj=utm +zone=32 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3200 projected FD58 / Iraq zone 47.13,26.21,53.61,33.22 0.5 6132 +proj=lcc +lat_1=32.5 +lat_0=32.5 +lon_0=45 +k_0=0.9987864078 +x_0=1500000 +y_0=1166200 +a=6378249.145 +rf=293.465 +towgs84=-241.54,-163.64,396.06 +units=m +no_defs +3201 projected LGD2006 / UTM zone 33N 12,22.51,18,35.23 0.1 6754 +proj=utm +zone=33 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3202 projected LGD2006 / UTM zone 34N 17.99,19.5,24.01,35.03 0.1 6754 +proj=utm +zone=34 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3203 projected LGD2006 / UTM zone 35N 24,19.99,26.21,33.6 0.1 6754 +proj=utm +zone=35 +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +units=m +no_defs +3204 projected WGS 84 / SCAR IMW SP19-20 -72,-64,-60,-60 6326 +proj=lcc +lat_0=-90 +lon_0=-66 +lat_1=-60.6666666666667 +lat_2=-63.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3205 projected WGS 84 / SCAR IMW SP21-22 -60,-64,-48,-60 6326 +proj=lcc +lat_0=-90 +lon_0=-54 +lat_1=-60.6666666666667 +lat_2=-63.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3206 projected WGS 84 / SCAR IMW SP23-24 -48,-64,-36,-60 6326 +proj=lcc +lat_0=-90 +lon_0=-42 +lat_1=-60.6666666666667 +lat_2=-63.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3207 projected WGS 84 / SCAR IMW SQ01-02 -180,-68,-168,-64 6326 +proj=lcc +lat_0=-90 +lon_0=-174 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3208 projected WGS 84 / SCAR IMW SQ19-20 -72,-68,-60,-64 6326 +proj=lcc +lat_0=-90 +lon_0=-66 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3209 projected WGS 84 / SCAR IMW SQ21-22 -60,-68,-48,-64 6326 +proj=lcc +lat_0=-90 +lon_0=-54 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3210 projected WGS 84 / SCAR IMW SQ37-38 36,-68,48,-64 6326 +proj=lcc +lat_0=-90 +lon_0=42 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3211 projected WGS 84 / SCAR IMW SQ39-40 48,-68,60,-64 6326 +proj=lcc +lat_0=-90 +lon_0=54 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3212 projected WGS 84 / SCAR IMW SQ41-42 60,-68,72,-64 6326 +proj=lcc +lat_0=-90 +lon_0=66 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3213 projected WGS 84 / SCAR IMW SQ43-44 72,-68,84,-64 6326 +proj=lcc +lat_0=-90 +lon_0=78 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3214 projected WGS 84 / SCAR IMW SQ45-46 84,-68,96,-64 6326 +proj=lcc +lat_0=-90 +lon_0=90 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3215 projected WGS 84 / SCAR IMW SQ47-48 96,-68,108,-64 6326 +proj=lcc +lat_0=-90 +lon_0=102 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3216 projected WGS 84 / SCAR IMW SQ49-50 108,-68,120,-64 6326 +proj=lcc +lat_0=-90 +lon_0=114 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3217 projected WGS 84 / SCAR IMW SQ51-52 120,-68,132,-64 6326 +proj=lcc +lat_0=-90 +lon_0=126 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3218 projected WGS 84 / SCAR IMW SQ53-54 132,-68,144,-64 6326 +proj=lcc +lat_0=-90 +lon_0=138 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3219 projected WGS 84 / SCAR IMW SQ55-56 144,-68,156,-64 6326 +proj=lcc +lat_0=-90 +lon_0=150 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3220 projected WGS 84 / SCAR IMW SQ57-58 156,-68,168,-64 6326 +proj=lcc +lat_0=-90 +lon_0=162 +lat_1=-64.6666666666667 +lat_2=-67.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3221 projected WGS 84 / SCAR IMW SR13-14 -108,-72,-96,-68 6326 +proj=lcc +lat_0=-90 +lon_0=-102 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3222 projected WGS 84 / SCAR IMW SR15-16 -96,-72,-84,-68 6326 +proj=lcc +lat_0=-90 +lon_0=-90 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3223 projected WGS 84 / SCAR IMW SR17-18 -84,-72,-72,-68 6326 +proj=lcc +lat_0=-90 +lon_0=-78 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3224 projected WGS 84 / SCAR IMW SR19-20 -72,-72,-60,-68 6326 +proj=lcc +lat_0=-90 +lon_0=-66 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3225 projected WGS 84 / SCAR IMW SR27-28 -24,-72,-12,-68 6326 +proj=lcc +lat_0=-90 +lon_0=-18 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3226 projected WGS 84 / SCAR IMW SR29-30 -12,-72,0,-68 6326 +proj=lcc +lat_0=-90 +lon_0=-6 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3227 projected WGS 84 / SCAR IMW SR31-32 0,-72,12,-68 6326 +proj=lcc +lat_0=-90 +lon_0=6 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3228 projected WGS 84 / SCAR IMW SR33-34 12,-72,24,-68 6326 +proj=lcc +lat_0=-90 +lon_0=18 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3229 projected WGS 84 / SCAR IMW SR35-36 24,-72,36,-68 6326 +proj=lcc +lat_0=-90 +lon_0=30 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3230 projected WGS 84 / SCAR IMW SR37-38 36,-72,48,-68 6326 +proj=lcc +lat_0=-90 +lon_0=42 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3231 projected WGS 84 / SCAR IMW SR39-40 48,-72,60,-68 6326 +proj=lcc +lat_0=-90 +lon_0=54 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3232 projected WGS 84 / SCAR IMW SR41-42 60,-72,72,-68 6326 +proj=lcc +lat_0=-90 +lon_0=66 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3233 projected WGS 84 / SCAR IMW SR43-44 72,-72,84,-68 6326 +proj=lcc +lat_0=-90 +lon_0=78 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3234 projected WGS 84 / SCAR IMW SR45-46 84,-72,96,-68 6326 +proj=lcc +lat_0=-90 +lon_0=90 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3235 projected WGS 84 / SCAR IMW SR47-48 96,-72,108,-68 6326 +proj=lcc +lat_0=-90 +lon_0=102 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3236 projected WGS 84 / SCAR IMW SR49-50 108,-72,120,-68 6326 +proj=lcc +lat_0=-90 +lon_0=114 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3237 projected WGS 84 / SCAR IMW SR51-52 120,-72,132,-68 6326 +proj=lcc +lat_0=-90 +lon_0=126 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3238 projected WGS 84 / SCAR IMW SR53-54 132,-72,144,-68 6326 +proj=lcc +lat_0=-90 +lon_0=138 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3239 projected WGS 84 / SCAR IMW SR55-56 144,-72,156,-68 6326 +proj=lcc +lat_0=-90 +lon_0=150 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3240 projected WGS 84 / SCAR IMW SR57-58 156,-72,168,-68 6326 +proj=lcc +lat_0=-90 +lon_0=162 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3241 projected WGS 84 / SCAR IMW SR59-60 168,-72,180,-68 6326 +proj=lcc +lat_0=-90 +lon_0=174 +lat_1=-68.6666666666667 +lat_2=-71.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3242 projected WGS 84 / SCAR IMW SS04-06 -162,-76,-144,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-153 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3243 projected WGS 84 / SCAR IMW SS07-09 -144,-76,-126,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-135 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3244 projected WGS 84 / SCAR IMW SS10-12 -126,-76,-108,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-117 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3245 projected WGS 84 / SCAR IMW SS13-15 -108,-76,-90,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-99 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3246 projected WGS 84 / SCAR IMW SS16-18 -90,-76,-72,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-81 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3247 projected WGS 84 / SCAR IMW SS19-21 -72,-76,-54,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-63 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3248 projected WGS 84 / SCAR IMW SS25-27 -36,-76,-18,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-27 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3249 projected WGS 84 / SCAR IMW SS28-30 -18,-76,0,-72 6326 +proj=lcc +lat_0=-90 +lon_0=-9 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3250 projected WGS 84 / SCAR IMW SS31-33 0,-76,18,-72 6326 +proj=lcc +lat_0=-90 +lon_0=9 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3251 projected WGS 84 / SCAR IMW SS34-36 18,-76,36,-72 6326 +proj=lcc +lat_0=-90 +lon_0=27 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3252 projected WGS 84 / SCAR IMW SS37-39 36,-76,54,-72 6326 +proj=lcc +lat_0=-90 +lon_0=45 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3253 projected WGS 84 / SCAR IMW SS40-42 54,-76,72,-72 6326 +proj=lcc +lat_0=-90 +lon_0=63 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3254 projected WGS 84 / SCAR IMW SS43-45 72,-76,90,-72 6326 +proj=lcc +lat_0=-90 +lon_0=81 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3255 projected WGS 84 / SCAR IMW SS46-48 90,-76,108,-72 6326 +proj=lcc +lat_0=-90 +lon_0=99 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3256 projected WGS 84 / SCAR IMW SS49-51 108,-76,126,-72 6326 +proj=lcc +lat_0=-90 +lon_0=117 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3257 projected WGS 84 / SCAR IMW SS52-54 126,-76,144,-72 6326 +proj=lcc +lat_0=-90 +lon_0=135 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3258 projected WGS 84 / SCAR IMW SS55-57 144,-76,162,-72 6326 +proj=lcc +lat_0=-90 +lon_0=153 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3259 projected WGS 84 / SCAR IMW SS58-60 162,-76,180,-72 6326 +proj=lcc +lat_0=-90 +lon_0=171 +lat_1=-72.6666666666667 +lat_2=-75.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3260 projected WGS 84 / SCAR IMW ST01-04 -180,-80,-156,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-168 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3261 projected WGS 84 / SCAR IMW ST05-08 -156,-80,-132,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-144 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3262 projected WGS 84 / SCAR IMW ST09-12 -132,-80,-108,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-120 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3263 projected WGS 84 / SCAR IMW ST13-16 -108,-80,-84,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-96 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3264 projected WGS 84 / SCAR IMW ST17-20 -84,-80,-60,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-72 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3265 projected WGS 84 / SCAR IMW ST21-24 -60,-80,-36,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-48 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3266 projected WGS 84 / SCAR IMW ST25-28 -36,-80,-12,-76 6326 +proj=lcc +lat_0=-90 +lon_0=-24 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3267 projected WGS 84 / SCAR IMW ST29-32 -12,-80,12,-76 6326 +proj=lcc +lat_0=-90 +lon_0=0 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3268 projected WGS 84 / SCAR IMW ST33-36 12,-80,36,-76 6326 +proj=lcc +lat_0=-90 +lon_0=24 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3269 projected WGS 84 / SCAR IMW ST37-40 36,-80,60,-76 6326 +proj=lcc +lat_0=-90 +lon_0=48 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3270 projected WGS 84 / SCAR IMW ST41-44 60,-80,84,-76 6326 +proj=lcc +lat_0=-90 +lon_0=72 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3271 projected WGS 84 / SCAR IMW ST45-48 84,-80,108,-76 6326 +proj=lcc +lat_0=-90 +lon_0=96 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3272 projected WGS 84 / SCAR IMW ST49-52 108,-80,132,-76 6326 +proj=lcc +lat_0=-90 +lon_0=120 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3273 projected WGS 84 / SCAR IMW ST53-56 132,-80,156,-76 6326 +proj=lcc +lat_0=-90 +lon_0=144 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3274 projected WGS 84 / SCAR IMW ST57-60 156,-80,180,-76 6326 +proj=lcc +lat_0=-90 +lon_0=168 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3275 projected WGS 84 / SCAR IMW SU01-05 -180,-84,-150,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-165 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3276 projected WGS 84 / SCAR IMW SU06-10 -150,-84,-120,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-135 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3277 projected WGS 84 / SCAR IMW SU11-15 -120,-84,-90,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-105 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3278 projected WGS 84 / SCAR IMW SU16-20 -90,-84,-60,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-75 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3279 projected WGS 84 / SCAR IMW SU21-25 -60,-84,-30,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-45 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3280 projected WGS 84 / SCAR IMW SU26-30 -30,-84,0,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-15 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3281 projected WGS 84 / SCAR IMW SU31-35 0,-84,30,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=15 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3282 projected WGS 84 / SCAR IMW SU36-40 30,-84,60,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=45 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3283 projected WGS 84 / SCAR IMW SU41-45 60,-84,90,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=75 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3284 projected WGS 84 / SCAR IMW SU46-50 90,-84,120,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=105 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3285 projected WGS 84 / SCAR IMW SU51-55 120,-84,150,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=135 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3286 projected WGS 84 / SCAR IMW SU56-60 150,-84,180,-80 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=165 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3287 projected WGS 84 / SCAR IMW SV01-10 -180,-88,-120,-84 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-150 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3288 projected WGS 84 / SCAR IMW SV11-20 -120,-88,-60,-84 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-90 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3289 projected WGS 84 / SCAR IMW SV21-30 -60,-88,0,-84 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=-30 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3290 projected WGS 84 / SCAR IMW SV31-40 0,-88,60,-84 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=30 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3291 projected WGS 84 / SCAR IMW SV41-50 60,-88,120,-84 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=90 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3292 projected WGS 84 / SCAR IMW SV51-60 120,-88,180,-84 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=150 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3293 projected WGS 84 / SCAR IMW SW01-60 -180,-90,180,-88 6326 +proj=stere +lat_0=-90 +lat_ts=-80.2386111111111 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3294 projected WGS 84 / USGS Transantarctic Mountains 149.83,-80,174.01,-68.6 6326 +proj=lcc +lat_0=-78 +lon_0=162 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3295 projected Guam 1963 / Yap Islands 137.99,9.39,138.27,9.69 6675 +proj=aeqd +lat_0=9.54670833333333 +lon_0=138.168744444444 +x_0=40000 +y_0=60000 +ellps=clrk66 +units=m +no_defs +3296 projected RGPF / UTM zone 5S -158.13,-26.7,-150,-12.5 0.5 6687 +proj=utm +zone=5 +south +ellps=GRS80 +towgs84=0.072,-0.507,-0.245,0.0183,-0.0003,0.007,-0.0093 +units=m +no_defs +3297 projected RGPF / UTM zone 6S -150,-31.2,-144,-7.29 0.5 6687 +proj=utm +zone=6 +south +ellps=GRS80 +towgs84=0.072,-0.507,-0.245,0.0183,-0.0003,0.007,-0.0093 +units=m +no_defs +3298 projected RGPF / UTM zone 7S -144,-31.24,-138,-4.52 0.5 6687 +proj=utm +zone=7 +south +ellps=GRS80 +towgs84=0.072,-0.507,-0.245,0.0183,-0.0003,0.007,-0.0093 +units=m +no_defs +3299 projected RGPF / UTM zone 8S -138,-26.58,-131.97,-5.52 0.5 6687 +proj=utm +zone=8 +south +ellps=GRS80 +towgs84=0.072,-0.507,-0.245,0.0183,-0.0003,0.007,-0.0093 +units=m +no_defs +3300 projected Estonian Coordinate System of 1992 21.74,57.52,28.2,59.75 0.5 6133 +proj=lcc +lat_0=57.5175539305556 +lon_0=24 +lat_1=59.3333333333333 +lat_2=58 +x_0=500000 +y_0=6375000 +ellps=GRS80 +towgs84=0.055,-0.541,-0.185,0.0183,-0.0003,-0.007,-0.014 +units=m +no_defs +3301 projected Estonian Coordinate System of 1997 20.37,57.52,28.2,60 1 6180 +proj=lcc +lat_0=57.5175539305556 +lon_0=24 +lat_1=59.3333333333333 +lat_2=58 +x_0=500000 +y_0=6375000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3302 projected IGN63 Hiva Oa / UTM zone 7S -139.23,-10.08,-138.75,-9.64 2 6689 +proj=utm +zone=7 +south +ellps=intl +towgs84=410.793,54.542,80.501,-2.5596,-2.3517,-0.6594,17.3218 +units=m +no_defs +3303 projected Fatu Iva 72 / UTM zone 7S -138.75,-10.6,-138.54,-10.36 2 6688 +proj=utm +zone=7 +south +ellps=intl +towgs84=347.175,1077.618,2623.677,33.9058,-70.6776,9.4013,186.0647 +units=m +no_defs +3304 projected Tahiti 79 / UTM zone 6S -149.7,-17.93,-149.09,-17.44 1 6690 +proj=utm +zone=6 +south +ellps=intl +towgs84=221.597,152.441,176.523,2.403,1.3893,0.884,11.4648 +units=m +no_defs +3305 projected Moorea 87 / UTM zone 6S -150,-17.63,-149.73,-17.41 1 6691 +proj=utm +zone=6 +south +ellps=intl +towgs84=218.769,150.75,176.75,3.5231,2.0037,1.288,10.9817 +units=m +no_defs +3306 projected Maupiti 83 / UTM zone 5S -152.39,-16.57,-152.14,-16.34 1 6692 +proj=utm +zone=5 +south +ellps=intl +towgs84=217.109,86.452,23.711,0.0183,-0.0003,0.007,-0.0093 +units=m +no_defs +3307 projected Nakhl-e Ghanem / UTM zone 39N 51.8,27.3,53.01,28.2 0.2 6693 +proj=utm +zone=39 +ellps=WGS84 +towgs84=0,-0.15,0.68 +units=m +no_defs +3308 projected GDA94 / NSW Lambert 140.99,-37.53,153.69,-28.15 3 6283 +proj=lcc +lat_0=-33.25 +lon_0=147 +lat_1=-30.75 +lat_2=-35.75 +x_0=9300000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3309 projected NAD27 / California Albers -124.45,32.53,-114.12,42.01 7 6267 +proj=aea +lat_0=0 +lon_0=-120 +lat_1=34 +lat_2=40.5 +x_0=0 +y_0=-4000000 +ellps=clrk66 +towgs84=-8,159,175 +units=m +no_defs +3310 projected NAD83 / California Albers -124.45,32.53,-114.12,42.01 4 6269 +proj=aea +lat_0=0 +lon_0=-120 +lat_1=34 +lat_2=40.5 +x_0=0 +y_0=-4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3311 projected NAD83(HARN) / California Albers -124.45,32.53,-114.12,42.01 1 6152 +proj=aea +lat_0=0 +lon_0=-120 +lat_1=34 +lat_2=40.5 +x_0=0 +y_0=-4000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3312 projected CSG67 / UTM zone 21N -54.45,4.84,-54,5.69 10 6623 +proj=utm +zone=21 +ellps=intl +towgs84=-186,230,110 +units=m +no_defs +3313 projected RGFG95 / UTM zone 21N -54.61,2.11,-54,5.69 1 6624 +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3316 projected Kasai 1953 / Congo TM zone 22 21.5,-7.31,23.01,-5.31 6696 +proj=tmerc +lat_0=0 +lon_0=22 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3317 projected Kasai 1953 / Congo TM zone 24 23,-6.99,25,-5.01 6696 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3318 projected IGC 1962 / Congo TM zone 12 12.17,-6.04,13.01,-4.67 6697 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3319 projected IGC 1962 / Congo TM zone 14 13,-5.91,15.01,-4.28 6697 +proj=tmerc +lat_0=0 +lon_0=14 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3320 projected IGC 1962 / Congo TM zone 16 15,-5.87,17,-3.29 6697 +proj=tmerc +lat_0=0 +lon_0=16 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3321 projected IGC 1962 / Congo TM zone 18 17,-5.38,19,-3.4 6697 +proj=tmerc +lat_0=0 +lon_0=18 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3322 projected IGC 1962 / Congo TM zone 20 19,-7.29,21,-4.01 6697 +proj=tmerc +lat_0=0 +lon_0=20 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3323 projected IGC 1962 / Congo TM zone 22 21,-7.31,23,-5.31 6697 +proj=tmerc +lat_0=0 +lon_0=22 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3324 projected IGC 1962 / Congo TM zone 24 23,-6.99,25,-5.01 6697 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3325 projected IGC 1962 / Congo TM zone 26 25,-7.26,27,-4.23 6697 +proj=tmerc +lat_0=0 +lon_0=26 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3326 projected IGC 1962 / Congo TM zone 28 27,-7.36,29,-4.24 6697 +proj=tmerc +lat_0=0 +lon_0=28 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3327 projected IGC 1962 / Congo TM zone 30 29,-6.04,29.64,-4.34 6697 +proj=tmerc +lat_0=0 +lon_0=30 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +units=m +no_defs +3328 projected Pulkovo 1942(58) / GUGiK-80 14.14,49,24.15,54.89 1 6179 +proj=sterea +lat_0=52.1666666666667 +lon_0=19.1666666666667 +k=0.999714 +x_0=500000 +y_0=500000 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3329 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 5 13.5,46.54,16.5,54.72 1 6179 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3330 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 6 16.5,40.14,19.5,54.89 1 6179 +proj=tmerc +lat_0=0 +lon_0=18 +k=1 +x_0=6500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3331 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 7 19.5,39.64,22.5,54.51 1 6179 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3332 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 8 22.5,41.24,25.5,54.41 3 6179 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=2.329,-147.042,-92.08,-0.309,0.325,0.497,5.69 +units=m +no_defs +3333 projected Pulkovo 1942(58) / Gauss-Kruger zone 3 12,45.78,18,54.89 1 6179 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3334 projected Pulkovo 1942(58) / Gauss-Kruger zone 4 18,39.64,24,54.89 1 6179 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +3335 projected Pulkovo 1942(58) / Gauss-Kruger zone 5 24,41.24,29.74,50.93 3 6179 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=2.329,-147.042,-92.08,-0.309,0.325,0.497,5.69 +units=m +no_defs +3336 projected IGN 1962 Kerguelen / UTM zone 42S 68.69,-49.78,70.62,-48.6 10 6698 +proj=utm +zone=42 +south +ellps=intl +towgs84=145,-187,103 +units=m +no_defs +3337 projected Le Pouce 1934 / Mauritius Grid 57.25,-20.57,57.85,-19.94 2 6699 +proj=lcc +lat_1=-20.1950694444444 +lat_0=-20.1950694444444 +lon_0=57.5218277777778 +k_0=1 +x_0=1000000 +y_0=1000000 +a=6378249.145 +rf=293.465 +towgs84=-770.1,158.4,-498.2 +units=m +no_defs +3338 projected NAD83 / Alaska Albers 172.42,51.3,-129.99,71.4 4 6269 +proj=aea +lat_0=50 +lon_0=-154 +lat_1=55 +lat_2=65 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3339 projected IGCB 1955 / Congo TM zone 12 12.17,-6.04,13.01,-4.67 5 6701 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +towgs84=-79.9,-158,-168.9 +units=m +no_defs +3340 projected IGCB 1955 / Congo TM zone 14 13,-5.91,15.01,-4.28 5 6701 +proj=tmerc +lat_0=0 +lon_0=14 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +towgs84=-79.9,-158,-168.9 +units=m +no_defs +3341 projected IGCB 1955 / Congo TM zone 16 14.99,-5.87,16.28,-4.42 5 6701 +proj=tmerc +lat_0=0 +lon_0=16 +k=0.9999 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +towgs84=-79.9,-158,-168.9 +units=m +no_defs +3342 projected IGCB 1955 / UTM zone 33S 12.17,-6.04,16.28,-4.28 5 6701 +proj=utm +zone=33 +south +a=6378249.145 +rf=293.465 +towgs84=-79.9,-158,-168.9 +units=m +no_defs +3343 projected Mauritania 1999 / UTM zone 28N -18,14.72,-12,23.46 1 6702 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3344 projected Mauritania 1999 / UTM zone 29N -12,14.75,-6,27.3 1 6702 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3345 projected Mauritania 1999 / UTM zone 30N -6,15.49,-4.8,25.74 1 6702 +proj=utm +zone=30 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3346 projected LKS94 / Lithuania TM 19.02,53.89,26.82,56.45 1 6126 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9998 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3347 projected NAD83 / Statistics Canada Lambert -141.01,38.21,-40.73,86.46 4 6269 +proj=lcc +lat_0=63.390675 +lon_0=-91.8666666666667 +lat_1=49 +lat_2=77 +x_0=6200000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3348 projected NAD83(CSRS) / Statistics Canada Lambert -141.01,38.21,-40.73,86.46 1 6140 +proj=lcc +lat_0=63.390675 +lon_0=-91.8666666666667 +lat_1=49 +lat_2=77 +x_0=6200000 +y_0=3000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3350 projected Pulkovo 1942 / CS63 zone C0 19.57,54.17,23.45,59.27 4.5 6284 +proj=tmerc +lat_0=0.1 +lon_0=21.95 +k=1 +x_0=250000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +3351 projected Pulkovo 1942 / CS63 zone C1 23.45,53.89,26.45,59.72 3 6284 +proj=tmerc +lat_0=0.1 +lon_0=24.95 +k=1 +x_0=1250000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +3352 projected Pulkovo 1942 / CS63 zone C2 26.45,55.15,28.24,59.61 3 6284 +proj=tmerc +lat_0=0.1 +lon_0=27.95 +k=1 +x_0=2250000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +3353 projected Mhast (onshore) / UTM zone 32S 10.53,-6.04,13.1,-4.38 6704 +proj=utm +zone=32 +south +ellps=intl +units=m +no_defs +3354 projected Mhast (offshore) / UTM zone 32S 10.53,-6.04,12.37,-5.05 6705 +proj=utm +zone=32 +south +ellps=intl +units=m +no_defs +3355 projected Egypt Gulf of Suez S-650 TL / Red Belt 32.34,27.19,34.27,30.01 5 6706 +proj=tmerc +lat_0=30 +lon_0=31 +k=1 +x_0=615000 +y_0=810000 +ellps=helmert +towgs84=-146.21,112.63,4.05 +units=m +no_defs +3358 projected NAD83(HARN) / North Carolina -84.33,33.83,-75.38,36.59 1 6152 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.22 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3360 projected NAD83(HARN) / South Carolina -83.36,32.05,-78.52,35.21 1 6152 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3361 projected NAD83(HARN) / South Carolina (ft) -83.36,32.05,-78.52,35.21 1 6152 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.3048 +no_defs +3362 projected NAD83(HARN) / Pennsylvania North -80.53,40.6,-74.7,42.53 1 6152 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3363 projected NAD83(HARN) / Pennsylvania North (ftUS) -80.53,40.6,-74.7,42.53 1 6152 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3364 projected NAD83(HARN) / Pennsylvania South -80.53,39.71,-74.72,41.18 1 6152 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3365 projected NAD83(HARN) / Pennsylvania South (ftUS) -80.53,39.71,-74.72,41.18 1 6152 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3367 projected IGN Astro 1960 / UTM zone 28N -17.08,14.72,-12,23.46 6700 +proj=utm +zone=28 +a=6378249.145 +rf=293.465 +units=m +no_defs +3368 projected IGN Astro 1960 / UTM zone 29N -12,14.75,-6,27.3 6700 +proj=utm +zone=29 +a=6378249.145 +rf=293.465 +units=m +no_defs +3369 projected IGN Astro 1960 / UTM zone 30N -6,15.49,-4.8,25.74 6700 +proj=utm +zone=30 +a=6378249.145 +rf=293.465 +units=m +no_defs +3370 projected NAD27 / UTM zone 59N 167.65,49.01,174.01,56.28 18 6267 +proj=utm +zone=59 +ellps=clrk66 +towgs84=2,204,105 +units=m +no_defs +3371 projected NAD27 / UTM zone 60N 174,47.92,180,56.67 18 6267 +proj=utm +zone=60 +ellps=clrk66 +towgs84=2,204,105 +units=m +no_defs +3372 projected NAD83 / UTM zone 59N 167.65,49.01,174.01,56.28 8 6269 +proj=utm +zone=59 +ellps=GRS80 +towgs84=-2,0,4 +units=m +no_defs +3373 projected NAD83 / UTM zone 60N 174,47.92,180,56.67 8 6269 +proj=utm +zone=60 +ellps=GRS80 +towgs84=-2,0,4 +units=m +no_defs +3374 projected FD54 / UTM zone 29N -7.49,61.33,-6.33,62.41 10 6741 +proj=utm +zone=29 +ellps=intl +towgs84=-240.33,-267.41,-34.61 +units=m +no_defs +3375 projected GDM2000 / Peninsula RSO 98.02,1.13,105.82,7.81 1 6742 +proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.025796466667 +gamma=323.130102361111 +k=0.99984 +x_0=804671 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3376 projected GDM2000 / East Malaysia BRSO 109.31,0.85,119.61,7.67 1 6742 +proj=omerc +no_uoff +lat_0=4 +lonc=115 +alpha=53.31580995 +gamma=53.1301023611111 +k=0.99984 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3377 projected GDM2000 / Johor Grid 102.44,1.21,104.6,2.95 1 6742 +proj=cass +lat_0=2.12167974444444 +lon_0=103.427936236111 +x_0=-14810.562 +y_0=8758.32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3378 projected GDM2000 / Sembilan and Melaka Grid 101.7,2.03,102.71,3.28 1 6742 +proj=cass +lat_0=2.68234763611111 +lon_0=101.974905041667 +x_0=3673.785 +y_0=-4240.573 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3379 projected GDM2000 / Pahang Grid 101.33,2.45,103.67,4.78 1 6742 +proj=cass +lat_0=3.76938808888889 +lon_0=102.368298983333 +x_0=-7368.228 +y_0=6485.858 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3380 projected GDM2000 / Selangor Grid 100.76,2.54,101.97,3.87 1 6742 +proj=cass +lat_0=3.68464905 +lon_0=101.389107913889 +x_0=-34836.161 +y_0=56464.049 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3381 projected GDM2000 / Terengganu Grid 102.38,3.89,103.72,5.9 1 6742 +proj=cass +lat_0=4.9762852 +lon_0=103.070275625 +x_0=19594.245 +y_0=3371.895 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3382 projected GDM2000 / Pinang Grid 100.12,5.12,100.56,5.59 1 6742 +proj=cass +lat_0=5.42151754166667 +lon_0=100.344376963889 +x_0=-23.414 +y_0=62.283 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3383 projected GDM2000 / Kedah and Perlis Grid 99.59,5.08,101.12,6.72 1 6742 +proj=cass +lat_0=5.96467271388889 +lon_0=100.636371111111 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3384 projected GDM2000 / Perak Grid 100.07,3.66,102,5.92 1 6742 +proj=cass +lat_0=4.85906302222222 +lon_0=100.815410586111 +x_0=-1.769 +y_0=133454.779 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3385 projected GDM2000 / Kelantan Grid 101.33,4.54,102.67,6.29 1 6742 +proj=cass +lat_0=5.97254365833333 +lon_0=102.295241669444 +x_0=13227.851 +y_0=8739.894 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3386 projected KKJ / Finland zone 0 19.24,60.08,19.5,60.34 1 6123 +proj=tmerc +lat_0=0 +lon_0=18 +k=1 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +no_defs +3387 projected KKJ / Finland zone 5 31.5,62.83,31.59,63 1 6123 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=5500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +no_defs +3388 projected Pulkovo 1942 / Caspian Sea Mercator 46.95,37.35,53.93,46.97 4.5 6284 +proj=merc +lat_ts=42 +lon_0=51 +x_0=0 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +3389 projected Pulkovo 1942 / 3-degree Gauss-Kruger zone 60 178.5,62.24,-178.5,71.65 3 6284 +proj=tmerc +lat_0=0 +lon_0=180 +k=1 +x_0=60500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +3390 projected Pulkovo 1995 / 3-degree Gauss-Kruger zone 60 178.5,62.24,-178.5,71.65 1 6200 +proj=tmerc +lat_0=0 +lon_0=180 +k=1 +x_0=60500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +3391 projected Karbala 1979 / UTM zone 37N 38.79,31.14,42,36.75 1 6743 +proj=utm +zone=37 +a=6378249.145 +rf=293.465 +towgs84=70.995,-335.916,262.898 +units=m +no_defs +3392 projected Karbala 1979 / UTM zone 38N 42,29.06,48,37.39 1 6743 +proj=utm +zone=38 +a=6378249.145 +rf=293.465 +towgs84=70.995,-335.916,262.898 +units=m +no_defs +3393 projected Karbala 1979 / UTM zone 39N 48,29.87,48.61,31 1 6743 +proj=utm +zone=39 +a=6378249.145 +rf=293.465 +towgs84=70.995,-335.916,262.898 +units=m +no_defs +3394 projected Nahrwan 1934 / Iraq zone 38.79,29.06,51.06,37.39 30 6744 +proj=lcc +lat_1=32.5 +lat_0=32.5 +lon_0=45 +k_0=0.9987864078 +x_0=1500000 +y_0=1166200 +a=6378249.145 +rf=293.465 +towgs84=-242.2,-144.9,370.3 +units=m +no_defs +3395 projected WGS 84 / World Mercator -180,-80,180,84 6326 +proj=merc +lon_0=0 +k=1 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3396 projected PD/83 / 3-degree Gauss-Kruger zone 3 9.92,50.35,10.5,51.56 6746 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +units=m +no_defs +3397 projected PD/83 / 3-degree Gauss-Kruger zone 4 10.5,50.2,12.56,51.64 6746 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +no_defs +3398 projected RD/83 / 3-degree Gauss-Kruger zone 4 11.89,50.2,13.51,51.66 6745 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +no_defs +3399 projected RD/83 / 3-degree Gauss-Kruger zone 5 13.5,50.62,15.04,51.58 6745 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=bessel +units=m +no_defs +3400 projected NAD83 / Alberta 10-TM (Forest) -120,48.99,-109.98,60 4 6269 +proj=tmerc +lat_0=0 +lon_0=-115 +k=0.9992 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3401 projected NAD83 / Alberta 10-TM (Resource) -120,48.99,-109.98,60 4 6269 +proj=tmerc +lat_0=0 +lon_0=-115 +k=0.9992 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3402 projected NAD83(CSRS) / Alberta 10-TM (Forest) -120,48.99,-109.98,60 1 6140 +proj=tmerc +lat_0=0 +lon_0=-115 +k=0.9992 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3403 projected NAD83(CSRS) / Alberta 10-TM (Resource) -120,48.99,-109.98,60 1 6140 +proj=tmerc +lat_0=0 +lon_0=-115 +k=0.9992 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3404 projected NAD83(HARN) / North Carolina (ftUS) -84.33,33.83,-75.38,36.59 1 6152 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.219202438 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3405 projected VN-2000 / UTM zone 48N 102.14,8.33,108,23.4 1 6756 +proj=utm +zone=48 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +3406 projected VN-2000 / UTM zone 49N 108,10.43,109.53,21.56 1 6756 +proj=utm +zone=49 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +3407 projected Hong Kong 1963 Grid System 113.76,22.13,114.51,22.58 6738 +proj=cass +lat_0=22.3121333333333 +lon_0=114.178555555556 +x_0=40243.5777560424 +y_0=19069.9335151258 +a=6378293.64520876 +b=6356617.98767984 +to_meter=0.3047972654 +no_defs +3408 projected NSIDC EASE-Grid North -180,0,180,90 1360 +proj=laea +lat_0=90 +lon_0=0 +x_0=0 +y_0=0 +R=6371228 +units=m +no_defs +3409 projected NSIDC EASE-Grid South -180,-90,180,0 1360 +proj=laea +lat_0=-90 +lon_0=0 +x_0=0 +y_0=0 +R=6371228 +units=m +no_defs +3410 projected NSIDC EASE-Grid Global -180,-86,180,86 1360 +proj=cea +lat_ts=30 +lon_0=0 +x_0=0 +y_0=0 +R=6371228 +units=m +no_defs +3411 projected NSIDC Sea Ice Polar Stereographic North -180,60,180,90 1359 +proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45 +x_0=0 +y_0=0 +a=6378273 +b=6356889.449 +units=m +no_defs +3412 projected NSIDC Sea Ice Polar Stereographic South -180,-90,180,-60 1359 +proj=stere +lat_0=-90 +lat_ts=-70 +lon_0=0 +x_0=0 +y_0=0 +a=6378273 +b=6356889.449 +units=m +no_defs +3413 projected WGS 84 / NSIDC Sea Ice Polar Stereographic North -180,60,180,90 6326 +proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3414 projected SVY21 / Singapore TM 103.59,1.13,104.07,1.47 1 6757 +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3415 projected WGS 72BE / South China Sea Lambert 110.13,18.31,116.76,22.89 2 6324 +proj=lcc +lat_0=21 +lon_0=114 +lat_1=18 +lat_2=24 +x_0=500000 +y_0=500000 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +3416 projected ETRS89 / Austria Lambert 9.53,46.4,17.17,49.02 1 6258 +proj=lcc +lat_0=47.5 +lon_0=13.3333333333333 +lat_1=49 +lat_2=46 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3417 projected NAD83 / Iowa North (ftUS) -96.65,41.85,-90.15,43.51 4 6269 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3418 projected NAD83 / Iowa South (ftUS) -96.14,40.36,-90.14,42.04 4 6269 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3419 projected NAD83 / Kansas North (ftUS) -102.06,38.52,-94.58,40.01 4 6269 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3420 projected NAD83 / Kansas South (ftUS) -102.05,36.99,-94.6,38.88 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3421 projected NAD83 / Nevada East (ftUS) -117.01,34.99,-114.03,42 4 6269 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3422 projected NAD83 / Nevada Central (ftUS) -118.19,36,-114.99,41 4 6269 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3423 projected NAD83 / Nevada West (ftUS) -120,36.95,-116.99,42 4 6269 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000.00001016 +y_0=3999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3424 projected NAD83 / New Jersey (ftUS) -75.6,38.87,-73.88,41.36 4 6269 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3425 projected NAD83(HARN) / Iowa North (ftUS) -96.65,41.85,-90.15,43.51 1 6152 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=999999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3426 projected NAD83(HARN) / Iowa South (ftUS) -96.14,40.36,-90.14,42.04 1 6152 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3427 projected NAD83(HARN) / Kansas North (ftUS) -102.06,38.52,-94.58,40.01 1 6152 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3428 projected NAD83(HARN) / Kansas South (ftUS) -102.05,36.99,-94.6,38.88 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3429 projected NAD83(HARN) / Nevada East (ftUS) -117.01,34.99,-114.03,42 1 6152 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.00001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3430 projected NAD83(HARN) / Nevada Central (ftUS) -118.19,36,-114.99,41 1 6152 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3431 projected NAD83(HARN) / Nevada West (ftUS) -120,36.95,-116.99,42 1 6152 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000.00001016 +y_0=3999999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3432 projected NAD83(HARN) / New Jersey (ftUS) -75.6,38.87,-73.88,41.36 1 6152 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3433 projected NAD83 / Arkansas North (ftUS) -94.62,34.67,-89.64,36.5 4 6269 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3434 projected NAD83 / Arkansas South (ftUS) -94.48,33.01,-90.4,35.1 4 6269 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3435 projected NAD83 / Illinois East (ftUS) -89.27,37.06,-87.02,42.5 4 6269 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3436 projected NAD83 / Illinois West (ftUS) -91.52,36.97,-88.92,42.51 4 6269 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=699999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3437 projected NAD83 / New Hampshire (ftUS) -72.56,42.69,-70.63,45.31 4 6269 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3438 projected NAD83 / Rhode Island (ftUS) -71.85,41.13,-71.08,42.02 4 6269 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=99999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3439 projected PSD93 / UTM zone 39N 51.99,16.59,54,19.67 0.5 6134 +proj=utm +zone=39 +a=6378249.145 +rf=293.465 +towgs84=-180.624,-225.516,173.919,-0.81,-1.898,8.336,16.71006 +units=m +no_defs +3440 projected PSD93 / UTM zone 40N 54,16.89,59.91,26.58 0.5 6134 +proj=utm +zone=40 +a=6378249.145 +rf=293.465 +towgs84=-180.624,-225.516,173.919,-0.81,-1.898,8.336,16.71006 +units=m +no_defs +3441 projected NAD83(HARN) / Arkansas North (ftUS) -94.62,34.67,-89.64,36.5 1 6152 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3442 projected NAD83(HARN) / Arkansas South (ftUS) -94.48,33.01,-90.4,35.1 1 6152 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3443 projected NAD83(HARN) / Illinois East (ftUS) -89.27,37.06,-87.02,42.5 1 6152 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3444 projected NAD83(HARN) / Illinois West (ftUS) -91.52,36.97,-88.92,42.51 1 6152 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=699999.99998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3445 projected NAD83(HARN) / New Hampshire (ftUS) -72.56,42.69,-70.63,45.31 1 6152 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3446 projected NAD83(HARN) / Rhode Island (ftUS) -71.85,41.13,-71.08,42.02 1 6152 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=99999.99998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3447 projected ETRS89 / Belgian Lambert 2005 2.5,49.5,6.4,51.51 1 6258 +proj=lcc +lat_0=50.797815 +lon_0=4.35921583333333 +lat_1=49.8333333333333 +lat_2=51.1666666666667 +x_0=150328 +y_0=166262 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3448 projected JAD2001 / Jamaica Metric Grid -78.43,17.64,-76.17,18.58 0 6758 +proj=lcc +lat_1=18 +lat_0=18 +lon_0=-77 +k_0=1 +x_0=750000 +y_0=650000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3449 projected JAD2001 / UTM zone 17N -80.6,14.16,-77.99,19.36 0 6758 +proj=utm +zone=17 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3450 projected JAD2001 / UTM zone 18N -78,14.08,-74.51,19.2 0 6758 +proj=utm +zone=18 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3451 projected NAD83 / Louisiana North (ftUS) -94.05,30.85,-90.86,33.03 4 6269 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3452 projected NAD83 / Louisiana South (ftUS) -93.94,28.85,-88.75,31.07 4 6269 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3453 projected NAD83 / Louisiana Offshore (ftUS) -93.38,25.58,-86.53,29.35 4 6269 +proj=lcc +lat_0=25.5 +lon_0=-91.3333333333333 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3455 projected NAD83 / South Dakota South (ftUS) -104.06,42.48,-96.43,44.79 4 6269 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3456 projected NAD83(HARN) / Louisiana North (ftUS) -94.05,30.85,-90.86,33.03 1 6152 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3457 projected NAD83(HARN) / Louisiana South (ftUS) -93.94,28.85,-88.75,31.07 1 6152 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3458 projected NAD83(HARN) / South Dakota North (ftUS) -104.07,44.14,-96.45,45.95 1 6152 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3459 projected NAD83(HARN) / South Dakota South (ftUS) -104.06,42.48,-96.43,44.79 1 6152 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3460 projected Fiji 1986 / Fiji Map Grid 176.81,-20.81,-178.15,-12.42 2 6720 +proj=tmerc +lat_0=-17 +lon_0=178.75 +k=0.99985 +x_0=2000000 +y_0=4000000 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.2263 +units=m +no_defs +3461 projected Dabola 1981 / UTM zone 28N -15.13,9.01,-12,12.68 25 6155 +proj=utm +zone=28 +ellps=clrk80ign +towgs84=-83,37,124 +units=m +no_defs +3462 projected Dabola 1981 / UTM zone 29N -12,7.19,-7.65,12.51 25 6155 +proj=utm +zone=29 +ellps=clrk80ign +towgs84=-83,37,124 +units=m +no_defs +3463 projected NAD83 / Maine CS2000 Central -70.03,43.75,-68.33,47.47 4 6269 +proj=tmerc +lat_0=43.5 +lon_0=-69.125 +k=0.99998 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3464 projected NAD83(HARN) / Maine CS2000 Central -70.03,43.75,-68.33,47.47 1 6152 +proj=tmerc +lat_0=43.5 +lon_0=-69.125 +k=0.99998 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3465 projected NAD83(NSRS2007) / Alabama East -86.79,30.99,-84.89,35 2 6759 +proj=tmerc +lat_0=30.5 +lon_0=-85.8333333333333 +k=0.99996 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3466 projected NAD83(NSRS2007) / Alabama West -88.48,30.14,-86.3,35.02 2 6759 +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3467 projected NAD83(NSRS2007) / Alaska Albers 172.42,51.3,-129.99,71.4 2 6759 +proj=aea +lat_0=50 +lon_0=-154 +lat_1=55 +lat_2=65 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3468 projected NAD83(NSRS2007) / Alaska zone 1 -141,54.61,-129.99,60.35 2 6759 +proj=omerc +no_uoff +lat_0=57 +lonc=-133.666666666667 +alpha=323.130102361111 +gamma=323.130102361111 +k=0.9999 +x_0=5000000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3469 projected NAD83(NSRS2007) / Alaska zone 2 -144.01,59.72,-140.98,70.16 2 6759 +proj=tmerc +lat_0=54 +lon_0=-142 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3470 projected NAD83(NSRS2007) / Alaska zone 3 -148,59.72,-144,70.38 2 6759 +proj=tmerc +lat_0=54 +lon_0=-146 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3471 projected NAD83(NSRS2007) / Alaska zone 4 -152.01,59.11,-147.99,70.63 2 6759 +proj=tmerc +lat_0=54 +lon_0=-150 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3472 projected NAD83(NSRS2007) / Alaska zone 5 -156,55.72,-151.86,71.28 2 6759 +proj=tmerc +lat_0=54 +lon_0=-154 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3473 projected NAD83(NSRS2007) / Alaska zone 6 -160,54.89,-155.99,71.4 2 6759 +proj=tmerc +lat_0=54 +lon_0=-158 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3474 projected NAD83(NSRS2007) / Alaska zone 7 -164.01,54.32,-160,70.74 2 6759 +proj=tmerc +lat_0=54 +lon_0=-162 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3475 projected NAD83(NSRS2007) / Alaska zone 8 -168.26,54.34,-164,69.05 2 6759 +proj=tmerc +lat_0=54 +lon_0=-166 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3476 projected NAD83(NSRS2007) / Alaska zone 9 -173.16,56.49,-168,65.82 2 6759 +proj=tmerc +lat_0=54 +lon_0=-170 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3477 projected NAD83(NSRS2007) / Alaska zone 10 172.42,51.3,-164.84,54.34 2 6759 +proj=lcc +lat_0=51 +lon_0=-176 +lat_1=53.8333333333333 +lat_2=51.8333333333333 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3478 projected NAD83(NSRS2007) / Arizona Central -113.35,31.33,-110.44,37.01 2 6759 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3479 projected NAD83(NSRS2007) / Arizona Central (ft) -113.35,31.33,-110.44,37.01 2 6759 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3480 projected NAD83(NSRS2007) / Arizona East -111.71,31.33,-109.04,37.01 2 6759 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3481 projected NAD83(NSRS2007) / Arizona East (ft) -111.71,31.33,-109.04,37.01 2 6759 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3482 projected NAD83(NSRS2007) / Arizona West -114.81,32.05,-112.52,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3483 projected NAD83(NSRS2007) / Arizona West (ft) -114.81,32.05,-112.52,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3484 projected NAD83(NSRS2007) / Arkansas North -94.62,34.67,-89.64,36.5 2 6759 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3485 projected NAD83(NSRS2007) / Arkansas North (ftUS) -94.62,34.67,-89.64,36.5 2 6759 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3486 projected NAD83(NSRS2007) / Arkansas South -94.48,33.01,-90.4,35.1 2 6759 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3487 projected NAD83(NSRS2007) / Arkansas South (ftUS) -94.48,33.01,-90.4,35.1 2 6759 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3488 projected NAD83(NSRS2007) / California Albers -124.45,32.53,-114.12,42.01 2 6759 +proj=aea +lat_0=0 +lon_0=-120 +lat_1=34 +lat_2=40.5 +x_0=0 +y_0=-4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3489 projected NAD83(NSRS2007) / California zone 1 -124.45,39.59,-119.99,42.01 2 6759 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3490 projected NAD83(NSRS2007) / California zone 1 (ftUS) -124.45,39.59,-119.99,42.01 2 6759 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3491 projected NAD83(NSRS2007) / California zone 2 -124.06,38.02,-119.54,40.16 2 6759 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3492 projected NAD83(NSRS2007) / California zone 2 (ftUS) -124.06,38.02,-119.54,40.16 2 6759 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3493 projected NAD83(NSRS2007) / California zone 3 -123.02,36.73,-117.83,38.71 2 6759 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3494 projected NAD83(NSRS2007) / California zone 3 (ftUS) -123.02,36.73,-117.83,38.71 2 6759 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3495 projected NAD83(NSRS2007) / California zone 4 -122.01,35.78,-115.62,37.58 2 6759 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3496 projected NAD83(NSRS2007) / California zone 4 (ftUS) -122.01,35.78,-115.62,37.58 2 6759 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3497 projected NAD83(NSRS2007) / California zone 5 -121.42,32.76,-114.12,35.81 2 6759 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3498 projected NAD83(NSRS2007) / California zone 5 (ftUS) -121.42,32.76,-114.12,35.81 2 6759 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3499 projected NAD83(NSRS2007) / California zone 6 -118.15,32.53,-114.42,34.08 2 6759 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3500 projected NAD83(NSRS2007) / California zone 6 (ftUS) -118.15,32.53,-114.42,34.08 2 6759 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3501 projected NAD83(NSRS2007) / Colorado Central -109.06,38.14,-102.04,40.09 2 6759 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3502 projected NAD83(NSRS2007) / Colorado Central (ftUS) -109.06,38.14,-102.04,40.09 2 6759 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3503 projected NAD83(NSRS2007) / Colorado North -109.06,39.56,-102.04,41.01 2 6759 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3504 projected NAD83(NSRS2007) / Colorado North (ftUS) -109.06,39.56,-102.04,41.01 2 6759 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3505 projected NAD83(NSRS2007) / Colorado South -109.06,36.98,-102.04,38.68 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3506 projected NAD83(NSRS2007) / Colorado South (ftUS) -109.06,36.98,-102.04,38.68 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3507 projected NAD83(NSRS2007) / Connecticut -73.73,40.98,-71.78,42.05 2 6759 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.6096 +y_0=152400.3048 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3508 projected NAD83(NSRS2007) / Connecticut (ftUS) -73.73,40.98,-71.78,42.05 2 6759 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.609601219 +y_0=152400.30480061 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3509 projected NAD83(NSRS2007) / Delaware -75.8,38.44,-74.97,39.85 2 6759 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3510 projected NAD83(NSRS2007) / Delaware (ftUS) -75.8,38.44,-74.97,39.85 2 6759 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3511 projected NAD83(NSRS2007) / Florida East -82.33,24.41,-79.97,30.83 2 6759 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3512 projected NAD83(NSRS2007) / Florida East (ftUS) -82.33,24.41,-79.97,30.83 2 6759 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3513 projected NAD83(NSRS2007) / Florida GDL Albers -87.63,24.41,-79.97,31.01 2 6759 +proj=aea +lat_0=24 +lon_0=-84 +lat_1=24 +lat_2=31.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3514 projected NAD83(NSRS2007) / Florida North -87.63,29.21,-82.04,31.01 2 6759 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3515 projected NAD83(NSRS2007) / Florida North (ftUS) -87.63,29.21,-82.04,31.01 2 6759 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3516 projected NAD83(NSRS2007) / Florida West -83.34,26.27,-81.13,29.6 2 6759 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3517 projected NAD83(NSRS2007) / Florida West (ftUS) -83.34,26.27,-81.13,29.6 2 6759 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3518 projected NAD83(NSRS2007) / Georgia East -83.47,30.36,-80.77,34.68 2 6759 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3519 projected NAD83(NSRS2007) / Georgia East (ftUS) -83.47,30.36,-80.77,34.68 2 6759 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3520 projected NAD83(NSRS2007) / Georgia West -85.61,30.62,-82.99,35.01 2 6759 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3521 projected NAD83(NSRS2007) / Georgia West (ftUS) -85.61,30.62,-82.99,35.01 2 6759 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3522 projected NAD83(NSRS2007) / Idaho Central -115.3,41.99,-112.67,45.7 2 6759 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3523 projected NAD83(NSRS2007) / Idaho Central (ftUS) -115.3,41.99,-112.67,45.7 2 6759 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3524 projected NAD83(NSRS2007) / Idaho East -113.24,41.99,-111.04,44.75 2 6759 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3525 projected NAD83(NSRS2007) / Idaho East (ftUS) -113.24,41.99,-111.04,44.75 2 6759 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3526 projected NAD83(NSRS2007) / Idaho West -117.24,41.99,-114.32,49.01 2 6759 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3527 projected NAD83(NSRS2007) / Idaho West (ftUS) -117.24,41.99,-114.32,49.01 2 6759 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3528 projected NAD83(NSRS2007) / Illinois East -89.27,37.06,-87.02,42.5 2 6759 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3529 projected NAD83(NSRS2007) / Illinois East (ftUS) -89.27,37.06,-87.02,42.5 2 6759 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3530 projected NAD83(NSRS2007) / Illinois West -91.52,36.97,-88.92,42.51 2 6759 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3531 projected NAD83(NSRS2007) / Illinois West (ftUS) -91.52,36.97,-88.92,42.51 2 6759 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=699999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3532 projected NAD83(NSRS2007) / Indiana East -86.59,37.95,-84.78,41.77 2 6759 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=100000 +y_0=250000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3533 projected NAD83(NSRS2007) / Indiana East (ftUS) -86.59,37.95,-84.78,41.77 2 6759 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=99999.9998983998 +y_0=249999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3534 projected NAD83(NSRS2007) / Indiana West -88.1,37.77,-86.24,41.77 2 6759 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=250000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3535 projected NAD83(NSRS2007) / Indiana West (ftUS) -88.1,37.77,-86.24,41.77 2 6759 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=249999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3536 projected NAD83(NSRS2007) / Iowa North -96.65,41.85,-90.15,43.51 2 6759 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3537 projected NAD83(NSRS2007) / Iowa North (ftUS) -96.65,41.85,-90.15,43.51 2 6759 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3538 projected NAD83(NSRS2007) / Iowa South -96.14,40.36,-90.14,42.04 2 6759 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3539 projected NAD83(NSRS2007) / Iowa South (ftUS) -96.14,40.36,-90.14,42.04 2 6759 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3540 projected NAD83(NSRS2007) / Kansas North -102.06,38.52,-94.58,40.01 2 6759 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3541 projected NAD83(NSRS2007) / Kansas North (ftUS) -102.06,38.52,-94.58,40.01 2 6759 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3542 projected NAD83(NSRS2007) / Kansas South -102.05,36.99,-94.6,38.88 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3543 projected NAD83(NSRS2007) / Kansas South (ftUS) -102.05,36.99,-94.6,38.88 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3544 projected NAD83(NSRS2007) / Kentucky North -85.96,37.71,-82.47,39.15 2 6759 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3545 projected NAD83(NSRS2007) / Kentucky North (ftUS) -85.96,37.71,-82.47,39.15 2 6759 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3546 projected NAD83(NSRS2007) / Kentucky Single Zone -89.57,36.49,-81.95,39.15 2 6759 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3547 projected NAD83(NSRS2007) / Kentucky Single Zone (ftUS) -89.57,36.49,-81.95,39.15 2 6759 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3548 projected NAD83(NSRS2007) / Kentucky South -89.57,36.49,-81.95,38.17 2 6759 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3549 projected NAD83(NSRS2007) / Kentucky South (ftUS) -89.57,36.49,-81.95,38.17 2 6759 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3550 projected NAD83(NSRS2007) / Louisiana North -94.05,30.85,-90.86,33.03 2 6759 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3551 projected NAD83(NSRS2007) / Louisiana North (ftUS) -94.05,30.85,-90.86,33.03 2 6759 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3552 projected NAD83(NSRS2007) / Louisiana South -93.94,28.85,-88.75,31.07 2 6759 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3553 projected NAD83(NSRS2007) / Louisiana South (ftUS) -93.94,28.85,-88.75,31.07 2 6759 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3554 projected NAD83(NSRS2007) / Maine CS2000 Central -70.03,43.75,-68.33,47.47 2 6759 +proj=tmerc +lat_0=43.5 +lon_0=-69.125 +k=0.99998 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3555 projected NAD83(NSRS2007) / Maine CS2000 East -68.58,44.18,-66.91,47.37 2 6759 +proj=tmerc +lat_0=43.8333333333333 +lon_0=-67.875 +k=0.99998 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3556 projected NAD83(NSRS2007) / Maine CS2000 West -71.09,43.07,-69.6,46.58 2 6759 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.375 +k=0.99998 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3557 projected NAD83(NSRS2007) / Maine East -70.03,43.88,-66.91,47.47 2 6759 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3558 projected NAD83(NSRS2007) / Maine West -71.09,43.04,-69.26,46.58 2 6759 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3559 projected NAD83(NSRS2007) / Maryland -79.49,37.97,-74.97,39.73 2 6759 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3560 projected NAD83 / Utah North (ftUS) -114.04,40.55,-109.04,42.01 4 6269 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.00001016 +y_0=999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3561 projected Old Hawaiian / Hawaii zone 1 -156.1,18.87,-154.74,20.33 38 6135 +proj=tmerc +lat_0=18.8333333333333 +lon_0=-155.5 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=61,-285,-181 +to_meter=0.304800609601219 +no_defs +3562 projected Old Hawaiian / Hawaii zone 2 -157.36,20.45,-155.93,21.26 38 6135 +proj=tmerc +lat_0=20.3333333333333 +lon_0=-156.666666666667 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=61,-285,-181 +to_meter=0.304800609601219 +no_defs +3563 projected Old Hawaiian / Hawaii zone 3 -158.33,21.2,-157.61,21.75 14 6135 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=58,-283,-182 +to_meter=0.304800609601219 +no_defs +3564 projected Old Hawaiian / Hawaii zone 4 -159.85,21.81,-159.23,22.29 35 6135 +proj=tmerc +lat_0=21.8333333333333 +lon_0=-159.5 +k=0.99999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=45,-290,-172 +to_meter=0.304800609601219 +no_defs +3565 projected Old Hawaiian / Hawaii zone 5 -160.3,21.73,-159.99,22.07 38 6135 +proj=tmerc +lat_0=21.6666666666667 +lon_0=-160.166666666667 +k=1 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=61,-285,-181 +to_meter=0.304800609601219 +no_defs +3566 projected NAD83 / Utah Central (ftUS) -114.05,38.49,-109.04,41.08 4 6269 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.00001016 +y_0=2000000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3567 projected NAD83 / Utah South (ftUS) -114.05,36.99,-109.04,38.58 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.00001016 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3568 projected NAD83(HARN) / Utah North (ftUS) -114.04,40.55,-109.04,42.01 1 6152 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.00001016 +y_0=999999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3569 projected NAD83(HARN) / Utah Central (ftUS) -114.05,38.49,-109.04,41.08 1 6152 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.00001016 +y_0=2000000.00001016 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3570 projected NAD83(HARN) / Utah South (ftUS) -114.05,36.99,-109.04,38.58 1 6152 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.00001016 +y_0=3000000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3571 projected WGS 84 / North Pole LAEA Bering Sea -180,45,180,90 6326 +proj=laea +lat_0=90 +lon_0=180 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3572 projected WGS 84 / North Pole LAEA Alaska -180,45,180,90 6326 +proj=laea +lat_0=90 +lon_0=-150 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3573 projected WGS 84 / North Pole LAEA Canada -180,45,180,90 6326 +proj=laea +lat_0=90 +lon_0=-100 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3574 projected WGS 84 / North Pole LAEA Atlantic -180,45,180,90 6326 +proj=laea +lat_0=90 +lon_0=-40 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3575 projected WGS 84 / North Pole LAEA Europe -180,45,180,90 6326 +proj=laea +lat_0=90 +lon_0=10 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3576 projected WGS 84 / North Pole LAEA Russia -180,45,180,90 6326 +proj=laea +lat_0=90 +lon_0=90 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3577 projected GDA94 / Australian Albers 112.85,-43.7,153.69,-9.86 3 6283 +proj=aea +lat_0=0 +lon_0=132 +lat_1=-18 +lat_2=-36 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3578 projected NAD83 / Yukon Albers -141.01,59.99,-123.91,69.7 4 6269 +proj=aea +lat_0=59 +lon_0=-132.5 +lat_1=61.6666666666667 +lat_2=68 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3579 projected NAD83(CSRS) / Yukon Albers -141.01,59.99,-123.91,69.7 1 6140 +proj=aea +lat_0=59 +lon_0=-132.5 +lat_1=61.6666666666667 +lat_2=68 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3580 projected NAD83 / NWT Lambert -136.46,59.98,-102,78.81 4 6269 +proj=lcc +lat_0=0 +lon_0=-112 +lat_1=62 +lat_2=70 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3581 projected NAD83(CSRS) / NWT Lambert -136.46,59.98,-102,78.81 1 6140 +proj=lcc +lat_0=0 +lon_0=-112 +lat_1=62 +lat_2=70 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3582 projected NAD83(NSRS2007) / Maryland (ftUS) -79.49,37.97,-74.97,39.73 2 6759 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=399999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3583 projected NAD83(NSRS2007) / Massachusetts Island -70.91,41.19,-69.89,41.51 2 6759 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3584 projected NAD83(NSRS2007) / Massachusetts Island (ftUS) -70.91,41.19,-69.89,41.51 2 6759 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3585 projected NAD83(NSRS2007) / Massachusetts Mainland -73.5,41.46,-69.86,42.89 2 6759 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3586 projected NAD83(NSRS2007) / Massachusetts Mainland (ftUS) -73.5,41.46,-69.86,42.89 2 6759 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000.0001016 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3587 projected NAD83(NSRS2007) / Michigan Central -87.06,43.8,-82.27,45.92 2 6759 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=6000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3588 projected NAD83(NSRS2007) / Michigan Central (ft) -87.06,43.8,-82.27,45.92 2 6759 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=5999999.999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3589 projected NAD83(NSRS2007) / Michigan North -90.42,45.08,-83.44,48.32 2 6759 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=8000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3590 projected NAD83(NSRS2007) / Michigan North (ft) -90.42,45.08,-83.44,48.32 2 6759 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=7999999.999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3591 projected NAD83(NSRS2007) / Michigan Oblique Mercator -90.42,41.69,-82.13,48.32 2 6759 +proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3592 projected NAD83(NSRS2007) / Michigan South -87.2,41.69,-82.13,44.22 2 6759 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=4000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3593 projected NAD83(NSRS2007) / Michigan South (ft) -87.2,41.69,-82.13,44.22 2 6759 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=3999999.999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3594 projected NAD83(NSRS2007) / Minnesota Central -96.86,45.28,-92.29,47.48 2 6759 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3595 projected NAD83(NSRS2007) / Minnesota North -97.22,46.64,-89.49,49.38 2 6759 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3596 projected NAD83(NSRS2007) / Minnesota South -96.85,43.49,-91.21,45.59 2 6759 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3597 projected NAD83(NSRS2007) / Mississippi East -89.97,30.01,-88.09,35.01 2 6759 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3598 projected NAD83(NSRS2007) / Mississippi East (ftUS) -89.97,30.01,-88.09,35.01 2 6759 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3599 projected NAD83(NSRS2007) / Mississippi West -91.65,31,-89.37,35.01 2 6759 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3600 projected NAD83(NSRS2007) / Mississippi West (ftUS) -91.65,31,-89.37,35.01 2 6759 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3601 projected NAD83(NSRS2007) / Missouri Central -93.79,36.48,-91.41,40.61 2 6759 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-92.5 +k=0.999933333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3602 projected NAD83(NSRS2007) / Missouri East -91.97,35.98,-89.1,40.61 2 6759 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-90.5 +k=0.999933333 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3603 projected NAD83(NSRS2007) / Missouri West -95.77,36.48,-93.48,40.59 2 6759 +proj=tmerc +lat_0=36.1666666666667 +lon_0=-94.5 +k=0.999941177 +x_0=850000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3604 projected NAD83(NSRS2007) / Montana -116.07,44.35,-104.04,49.01 2 6759 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3605 projected NAD83(NSRS2007) / Montana (ft) -116.07,44.35,-104.04,49.01 2 6759 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3606 projected NAD83(NSRS2007) / Nebraska -104.06,39.99,-95.3,43.01 2 6759 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3607 projected NAD83(NSRS2007) / Nevada Central -118.19,36,-114.99,41 2 6759 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3608 projected NAD83(NSRS2007) / Nevada Central (ftUS) -118.19,36,-114.99,41 2 6759 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3609 projected NAD83(NSRS2007) / Nevada East -117.01,34.99,-114.03,42 2 6759 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000 +y_0=8000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3610 projected NAD83(NSRS2007) / Nevada East (ftUS) -117.01,34.99,-114.03,42 2 6759 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3611 projected NAD83(NSRS2007) / Nevada West -120,36.95,-116.99,42 2 6759 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3612 projected NAD83(NSRS2007) / Nevada West (ftUS) -120,36.95,-116.99,42 2 6759 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000.00001016 +y_0=3999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3613 projected NAD83(NSRS2007) / New Hampshire -72.56,42.69,-70.63,45.31 2 6759 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3614 projected NAD83(NSRS2007) / New Hampshire (ftUS) -72.56,42.69,-70.63,45.31 2 6759 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3615 projected NAD83(NSRS2007) / New Jersey -75.6,38.87,-73.88,41.36 2 6759 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3616 projected NAD83(NSRS2007) / New Jersey (ftUS) -75.6,38.87,-73.88,41.36 2 6759 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3617 projected NAD83(NSRS2007) / New Mexico Central -107.73,31.78,-104.84,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3618 projected NAD83(NSRS2007) / New Mexico Central (ftUS) -107.73,31.78,-104.84,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3619 projected NAD83(NSRS2007) / New Mexico East -105.72,32,-102.99,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3620 projected NAD83(NSRS2007) / New Mexico East (ftUS) -105.72,32,-102.99,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3621 projected NAD83(NSRS2007) / New Mexico West -109.06,31.33,-106.32,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3622 projected NAD83(NSRS2007) / New Mexico West (ftUS) -109.06,31.33,-106.32,37 2 6759 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3623 projected NAD83(NSRS2007) / New York Central -77.75,41.99,-75.06,44.41 2 6759 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3624 projected NAD83(NSRS2007) / New York Central (ftUS) -77.75,41.99,-75.06,44.41 2 6759 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=249999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3625 projected NAD83(NSRS2007) / New York East -75.87,40.88,-73.23,45.02 2 6759 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3626 projected NAD83(NSRS2007) / New York East (ftUS) -75.87,40.88,-73.23,45.02 2 6759 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3627 projected NAD83(NSRS2007) / New York Long Island -74.26,40.47,-71.8,41.3 2 6759 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3628 projected NAD83(NSRS2007) / New York Long Island (ftUS) -74.26,40.47,-71.8,41.3 2 6759 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3629 projected NAD83(NSRS2007) / New York West -79.77,41.99,-77.36,43.64 2 6759 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3630 projected NAD83(NSRS2007) / New York West (ftUS) -79.77,41.99,-77.36,43.64 2 6759 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3631 projected NAD83(NSRS2007) / North Carolina -84.33,33.83,-75.38,36.59 2 6759 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.22 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3632 projected NAD83(NSRS2007) / North Carolina (ftUS) -84.33,33.83,-75.38,36.59 2 6759 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.219202438 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3633 projected NAD83(NSRS2007) / North Dakota North -104.07,47.15,-96.83,49.01 2 6759 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3634 projected NAD83(NSRS2007) / North Dakota North (ft) -104.07,47.15,-96.83,49.01 2 6759 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3635 projected NAD83(NSRS2007) / North Dakota South -104.05,45.93,-96.55,47.83 2 6759 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3636 projected NAD83(NSRS2007) / North Dakota South (ft) -104.05,45.93,-96.55,47.83 2 6759 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3637 projected NAD83(NSRS2007) / Ohio North -84.81,40.1,-80.51,42.33 2 6759 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3638 projected NAD83(NSRS2007) / Ohio South -84.83,38.4,-80.7,40.36 2 6759 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3639 projected NAD83(NSRS2007) / Oklahoma North -103,35.27,-94.42,37.01 2 6759 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3640 projected NAD83(NSRS2007) / Oklahoma North (ftUS) -103,35.27,-94.42,37.01 2 6759 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3641 projected NAD83(NSRS2007) / Oklahoma South -100,33.62,-94.42,35.57 2 6759 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3642 projected NAD83(NSRS2007) / Oklahoma South (ftUS) -100,33.62,-94.42,35.57 2 6759 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3643 projected NAD83(NSRS2007) / Oregon LCC (m) -124.6,41.98,-116.47,46.26 2 6759 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3644 projected NAD83(NSRS2007) / Oregon GIC Lambert (ft) -124.6,41.98,-116.47,46.26 2 6759 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3645 projected NAD83(NSRS2007) / Oregon North -124.17,43.95,-116.47,46.26 2 6759 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3646 projected NAD83(NSRS2007) / Oregon North (ft) -124.17,43.95,-116.47,46.26 2 6759 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3647 projected NAD83(NSRS2007) / Oregon South -124.6,41.98,-116.9,44.56 2 6759 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3648 projected NAD83(NSRS2007) / Oregon South (ft) -124.6,41.98,-116.9,44.56 2 6759 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3649 projected NAD83(NSRS2007) / Pennsylvania North -80.53,40.6,-74.7,42.53 2 6759 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3650 projected NAD83(NSRS2007) / Pennsylvania North (ftUS) -80.53,40.6,-74.7,42.53 2 6759 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3651 projected NAD83(NSRS2007) / Pennsylvania South -80.53,39.71,-74.72,41.18 2 6759 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3652 projected NAD83(NSRS2007) / Pennsylvania South (ftUS) -80.53,39.71,-74.72,41.18 2 6759 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3653 projected NAD83(NSRS2007) / Rhode Island -71.85,41.13,-71.08,42.02 2 6759 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=100000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3654 projected NAD83(NSRS2007) / Rhode Island (ftUS) -71.85,41.13,-71.08,42.02 2 6759 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=99999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3655 projected NAD83(NSRS2007) / South Carolina -83.36,32.05,-78.52,35.21 2 6759 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3656 projected NAD83(NSRS2007) / South Carolina (ft) -83.36,32.05,-78.52,35.21 2 6759 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3657 projected NAD83(NSRS2007) / South Dakota North -104.07,44.14,-96.45,45.95 2 6759 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3658 projected NAD83(NSRS2007) / South Dakota North (ftUS) -104.07,44.14,-96.45,45.95 2 6759 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3659 projected NAD83(NSRS2007) / South Dakota South -104.06,42.48,-96.43,44.79 2 6759 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3660 projected NAD83(NSRS2007) / South Dakota South (ftUS) -104.06,42.48,-96.43,44.79 2 6759 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3661 projected NAD83(NSRS2007) / Tennessee -90.31,34.98,-81.65,36.68 2 6759 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3662 projected NAD83(NSRS2007) / Tennessee (ftUS) -90.31,34.98,-81.65,36.68 2 6759 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3663 projected NAD83(NSRS2007) / Texas Central -106.66,29.78,-93.5,32.27 2 6759 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=700000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3664 projected NAD83(NSRS2007) / Texas Central (ftUS) -106.66,29.78,-93.5,32.27 2 6759 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=699999.9998984 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3665 projected NAD83(NSRS2007) / Texas Centric Albers Equal Area -106.66,25.83,-93.5,36.5 2 6759 +proj=aea +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3666 projected NAD83(NSRS2007) / Texas Centric Lambert Conformal -106.66,25.83,-93.5,36.5 2 6759 +proj=lcc +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3667 projected NAD83(NSRS2007) / Texas North -103.03,34.3,-99.99,36.5 2 6759 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3668 projected NAD83(NSRS2007) / Texas North (ftUS) -103.03,34.3,-99.99,36.5 2 6759 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3669 projected NAD83(NSRS2007) / Texas North Central -103.07,31.72,-94,34.58 2 6759 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3670 projected NAD83(NSRS2007) / Texas North Central (ftUS) -103.07,31.72,-94,34.58 2 6759 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3671 projected NAD83(NSRS2007) / Texas South -100.2,25.83,-96.85,28.21 2 6759 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3672 projected NAD83(NSRS2007) / Texas South (ftUS) -100.2,25.83,-96.85,28.21 2 6759 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3673 projected NAD83(NSRS2007) / Texas South Central -105,27.78,-93.76,30.67 2 6759 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3674 projected NAD83(NSRS2007) / Texas South Central (ftUS) -105,27.78,-93.76,30.67 2 6759 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=3999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3675 projected NAD83(NSRS2007) / Utah Central -114.05,38.49,-109.04,41.08 2 6759 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3676 projected NAD83(NSRS2007) / Utah Central (ft) -114.05,38.49,-109.04,41.08 2 6759 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.0001504 +y_0=1999999.999992 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3677 projected NAD83(NSRS2007) / Utah Central (ftUS) -114.05,38.49,-109.04,41.08 2 6759 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.00001016 +y_0=2000000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3678 projected NAD83(NSRS2007) / Utah North -114.04,40.55,-109.04,42.01 2 6759 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3679 projected NAD83(NSRS2007) / Utah North (ft) -114.04,40.55,-109.04,42.01 2 6759 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.0001504 +y_0=999999.999996 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3680 projected NAD83(NSRS2007) / Utah North (ftUS) -114.04,40.55,-109.04,42.01 2 6759 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.00001016 +y_0=999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3681 projected NAD83(NSRS2007) / Utah South -114.05,36.99,-109.04,38.58 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3682 projected NAD83(NSRS2007) / Utah South (ft) -114.05,36.99,-109.04,38.58 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.0001504 +y_0=2999999.999988 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +3683 projected NAD83(NSRS2007) / Utah South (ftUS) -114.05,36.99,-109.04,38.58 2 6759 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.00001016 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3684 projected NAD83(NSRS2007) / Vermont -73.44,42.72,-71.5,45.03 2 6759 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3685 projected NAD83(NSRS2007) / Virginia North -80.06,37.77,-76.51,39.46 2 6759 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3686 projected NAD83(NSRS2007) / Virginia North (ftUS) -80.06,37.77,-76.51,39.46 2 6759 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000.0001016 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3687 projected NAD83(NSRS2007) / Virginia South -83.68,36.54,-75.31,38.28 2 6759 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3688 projected NAD83(NSRS2007) / Virginia South (ftUS) -83.68,36.54,-75.31,38.28 2 6759 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3689 projected NAD83(NSRS2007) / Washington North -124.79,47.08,-117.02,49.05 2 6759 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3690 projected NAD83(NSRS2007) / Washington North (ftUS) -124.79,47.08,-117.02,49.05 2 6759 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3691 projected NAD83(NSRS2007) / Washington South -124.4,45.54,-116.91,47.61 2 6759 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3692 projected NAD83(NSRS2007) / Washington South (ftUS) -124.4,45.54,-116.91,47.61 2 6759 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3693 projected NAD83(NSRS2007) / West Virginia North -81.76,38.76,-77.72,40.64 2 6759 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3694 projected NAD83(NSRS2007) / West Virginia South -82.65,37.2,-79.05,39.17 2 6759 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3695 projected NAD83(NSRS2007) / Wisconsin Central -92.89,43.98,-86.25,45.8 2 6759 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3696 projected NAD83(NSRS2007) / Wisconsin Central (ftUS) -92.89,43.98,-86.25,45.8 2 6759 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3697 projected NAD83(NSRS2007) / Wisconsin North -92.89,45.37,-88.05,47.31 2 6759 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3698 projected NAD83(NSRS2007) / Wisconsin North (ftUS) -92.89,45.37,-88.05,47.31 2 6759 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3699 projected NAD83(NSRS2007) / Wisconsin South -91.43,42.48,-86.95,44.33 2 6759 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3700 projected NAD83(NSRS2007) / Wisconsin South (ftUS) -91.43,42.48,-86.95,44.33 2 6759 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3701 projected NAD83(NSRS2007) / Wisconsin Transverse Mercator -92.89,42.48,-86.25,47.31 2 6759 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9996 +x_0=520000 +y_0=-4480000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3702 projected NAD83(NSRS2007) / Wyoming East -106.33,40.99,-104.05,45.01 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3703 projected NAD83(NSRS2007) / Wyoming East Central -108.63,40.99,-106,45.01 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=400000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3704 projected NAD83(NSRS2007) / Wyoming West Central -111.06,40.99,-107.5,45.01 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3705 projected NAD83(NSRS2007) / Wyoming West -111.06,40.99,-109.04,44.67 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3706 projected NAD83(NSRS2007) / UTM zone 59N 167.65,49.01,174.01,56.28 2 6759 +proj=utm +zone=59 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3707 projected NAD83(NSRS2007) / UTM zone 60N 174,47.92,180,56.67 2 6759 +proj=utm +zone=60 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3708 projected NAD83(NSRS2007) / UTM zone 1N -180,47.88,-173.99,63.21 2 6759 +proj=utm +zone=1 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3709 projected NAD83(NSRS2007) / UTM zone 2N -174,48.66,-167.99,73.05 2 6759 +proj=utm +zone=2 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3710 projected NAD83(NSRS2007) / UTM zone 3N -168,49.52,-161.99,74.29 2 6759 +proj=utm +zone=3 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3711 projected NAD83(NSRS2007) / UTM zone 4N -162,50.98,-155.99,74.71 2 6759 +proj=utm +zone=4 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3712 projected NAD83(NSRS2007) / UTM zone 5N -156,52.15,-149.99,74.71 2 6759 +proj=utm +zone=5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3713 projected NAD83(NSRS2007) / UTM zone 6N -150,54.05,-143.99,74.13 2 6759 +proj=utm +zone=6 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3714 projected NAD83(NSRS2007) / UTM zone 7N -144,53.47,-137.99,73.59 2 6759 +proj=utm +zone=7 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3715 projected NAD83(NSRS2007) / UTM zone 8N -138,53.6,-131.99,73.04 2 6759 +proj=utm +zone=8 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3716 projected NAD83(NSRS2007) / UTM zone 9N -132,35.38,-126,56.84 2 6759 +proj=utm +zone=9 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3717 projected NAD83(NSRS2007) / UTM zone 10N -126,30.54,-119.99,49.09 2 6759 +proj=utm +zone=10 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3718 projected NAD83(NSRS2007) / UTM zone 11N -120,30.88,-114,49.01 2 6759 +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3719 projected NAD83(NSRS2007) / UTM zone 12N -114,31.33,-108,49.01 2 6759 +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3720 projected NAD83(NSRS2007) / UTM zone 13N -108,28.98,-102,49.01 2 6759 +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3721 projected NAD83(NSRS2007) / UTM zone 14N -102,25.83,-96,49.01 2 6759 +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3722 projected NAD83(NSRS2007) / UTM zone 15N -96.01,25.61,-90,49.38 2 6759 +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3723 projected NAD83(NSRS2007) / UTM zone 16N -90,23.97,-84,48.32 2 6759 +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3724 projected NAD83(NSRS2007) / UTM zone 17N -84,23.81,-78,46.13 2 6759 +proj=utm +zone=17 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3725 projected NAD83(NSRS2007) / UTM zone 18N -78,28.28,-72,45.03 2 6759 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3726 projected NAD83(NSRS2007) / UTM zone 19N -72,33.61,-65.99,47.47 2 6759 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3727 projected Reunion 1947 / TM Reunion 55.16,-21.42,55.91,-20.81 44 6626 +proj=tmerc +lat_0=-21.1166666666667 +lon_0=55.5333333333333 +k=1 +x_0=160000 +y_0=50000 +ellps=intl +towgs84=94,-948,-1262 +units=m +no_defs +3728 projected NAD83(NSRS2007) / Ohio North (ftUS) -84.81,40.1,-80.51,42.33 2 6759 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3729 projected NAD83(NSRS2007) / Ohio South (ftUS) -84.83,38.4,-80.7,40.36 2 6759 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3730 projected NAD83(NSRS2007) / Wyoming East (ftUS) -106.33,40.99,-104.05,45.01 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3731 projected NAD83(NSRS2007) / Wyoming East Central (ftUS) -108.63,40.99,-106,45.01 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=399999.99998984 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3732 projected NAD83(NSRS2007) / Wyoming West Central (ftUS) -111.06,40.99,-107.5,45.01 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3733 projected NAD83(NSRS2007) / Wyoming West (ftUS) -111.06,40.99,-109.04,44.67 2 6759 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3734 projected NAD83 / Ohio North (ftUS) -84.81,40.1,-80.51,42.33 4 6269 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3735 projected NAD83 / Ohio South (ftUS) -84.83,38.4,-80.7,40.36 4 6269 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3736 projected NAD83 / Wyoming East (ftUS) -106.33,40.99,-104.05,45.01 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3737 projected NAD83 / Wyoming East Central (ftUS) -108.63,40.99,-106,45.01 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=399999.99998984 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3738 projected NAD83 / Wyoming West Central (ftUS) -111.06,40.99,-107.5,45.01 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3739 projected NAD83 / Wyoming West (ftUS) -111.06,40.99,-109.04,44.67 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3740 projected NAD83(HARN) / UTM zone 10N -124.79,33.85,-119.99,49.05 1 6152 +proj=utm +zone=10 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3741 projected NAD83(HARN) / UTM zone 11N -120,32.26,-114,49.01 1 6152 +proj=utm +zone=11 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3742 projected NAD83(HARN) / UTM zone 12N -114,31.33,-108,49.01 1 6152 +proj=utm +zone=12 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3743 projected NAD83(HARN) / UTM zone 13N -108,28.98,-102,49.01 1 6152 +proj=utm +zone=13 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3744 projected NAD83(HARN) / UTM zone 14N -102,25.83,-95.99,49.01 1 6152 +proj=utm +zone=14 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3745 projected NAD83(HARN) / UTM zone 15N -96,28.42,-89.99,49.38 1 6152 +proj=utm +zone=15 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3746 projected NAD83(HARN) / UTM zone 16N -90,28.85,-83.99,48.32 1 6152 +proj=utm +zone=16 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3747 projected NAD83(HARN) / UTM zone 17N -84.01,24.41,-78,46.13 1 6152 +proj=utm +zone=17 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3748 projected NAD83(HARN) / UTM zone 18N -78,33.84,-72,45.03 1 6152 +proj=utm +zone=18 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3749 projected NAD83(HARN) / UTM zone 19N -72,40.96,-66.91,47.47 1 6152 +proj=utm +zone=19 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3750 projected NAD83(HARN) / UTM zone 4N -160.3,19.51,-155.99,22.29 2 6152 +proj=utm +zone=4 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3751 projected NAD83(HARN) / UTM zone 5N -156,18.87,-154.74,20.86 2 6152 +proj=utm +zone=5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3753 projected NAD83(HARN) / Ohio North (ftUS) -84.81,40.1,-80.51,42.33 1 6152 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3754 projected NAD83(HARN) / Ohio South (ftUS) -84.83,38.4,-80.7,40.36 1 6152 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3755 projected NAD83(HARN) / Wyoming East (ftUS) -106.33,40.99,-104.05,45.01 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000.00001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3756 projected NAD83(HARN) / Wyoming East Central (ftUS) -108.63,40.99,-106,45.01 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=399999.99998984 +y_0=99999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3757 projected NAD83(HARN) / Wyoming West Central (ftUS) -111.06,40.99,-107.5,45.01 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3758 projected NAD83(HARN) / Wyoming West (ftUS) -111.06,40.99,-109.04,44.67 1 6152 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +3759 projected NAD83 / Hawaii zone 3 (ftUS) -158.33,21.2,-157.61,21.75 4 6269 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=1,1,-1 +to_meter=0.304800609601219 +no_defs +3760 projected NAD83(HARN) / Hawaii zone 3 (ftUS) -158.33,21.2,-157.61,21.75 2 6152 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +3761 projected NAD83(CSRS) / UTM zone 22N -54,39.5,-47.99,57.65 1 6140 +proj=utm +zone=22 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3762 projected WGS 84 / South Georgia Lambert -38.08,-54.95,-35.74,-53.93 6326 +proj=lcc +lat_0=-55 +lon_0=-37 +lat_1=-54 +lat_2=-54.75 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3763 projected ETRS89 / Portugal TM06 -9.56,36.95,-6.19,42.16 1 6258 +proj=tmerc +lat_0=39.6682583333333 +lon_0=-8.13310833333333 +k=1 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3764 projected NZGD2000 / Chatham Island Circuit 2000 -177.25,-44.64,-175.54,-43.3 1 6167 +proj=tmerc +lat_0=-44 +lon_0=-176.5 +k=1 +x_0=400000 +y_0=800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3765 projected HTRS96 / Croatia TM 13.43,42.34,19.43,46.54 1 6761 +proj=tmerc +lat_0=0 +lon_0=16.5 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3766 projected HTRS96 / Croatia LCC 13,41.62,19.43,46.54 1 6761 +proj=lcc +lat_0=0 +lon_0=16.5 +lat_1=45.9166666666667 +lat_2=43.0833333333333 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3767 projected HTRS96 / UTM zone 33N 13,41.63,18,46.54 1 6761 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3768 projected HTRS96 / UTM zone 34N 18,41.62,19.43,45.92 1 6761 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3769 projected Bermuda 1957 / UTM zone 20N -64.89,32.21,-64.61,32.43 1 6216 +proj=utm +zone=20 +ellps=clrk66 +towgs84=-292.295,248.758,429.447,4.9971,2.99,6.6906,1.0289 +units=m +no_defs +3770 projected BDA2000 / Bermuda 2000 National Grid -68.83,28.91,-60.7,35.73 1 6762 +proj=tmerc +lat_0=32 +lon_0=-64.75 +k=1 +x_0=550000 +y_0=100000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3771 projected NAD27 / Alberta 3TM ref merid 111 W -112.5,48.99,-109.98,60 13 6267 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9999 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=-7,162,188 +units=m +no_defs +3772 projected NAD27 / Alberta 3TM ref merid 114 W -115.5,48.99,-112.5,60 13 6267 +proj=tmerc +lat_0=0 +lon_0=-114 +k=0.9999 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=-7,162,188 +units=m +no_defs +3773 projected NAD27 / Alberta 3TM ref merid 117 W -118.5,50.77,-115.5,60 8 6267 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9999 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=4,159,188 +units=m +no_defs +3775 projected NAD83 / Alberta 3TM ref merid 111 W -112.5,48.99,-109.98,60 4 6269 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3776 projected NAD83 / Alberta 3TM ref merid 114 W -115.5,48.99,-112.5,60 4 6269 +proj=tmerc +lat_0=0 +lon_0=-114 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3777 projected NAD83 / Alberta 3TM ref merid 117 W -118.5,50.77,-115.5,60 4 6269 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3779 projected NAD83(CSRS) / Alberta 3TM ref merid 111 W -112.5,48.99,-109.98,60 1 6140 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3780 projected NAD83(CSRS) / Alberta 3TM ref merid 114 W -115.5,48.99,-112.5,60 1 6140 +proj=tmerc +lat_0=0 +lon_0=-114 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3781 projected NAD83(CSRS) / Alberta 3TM ref merid 117 W -118.5,50.77,-115.5,60 1 6140 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3783 projected Pitcairn 2006 / Pitcairn TM 2006 -130.16,-25.14,-130.01,-25 1 6763 +proj=tmerc +lat_0=-25.0685526111111 +lon_0=-130.112967111111 +k=1 +x_0=14200 +y_0=15500 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +3784 projected Pitcairn 1967 / UTM zone 9S -130.16,-25.14,-130.01,-25 44 6729 +proj=utm +zone=9 +south +ellps=intl +towgs84=185,165,42 +units=m +no_defs +3788 projected NZGD2000 / Auckland Islands TM 2000 165.55,-51.13,166.93,-47.8 1 6167 +proj=tmerc +lat_0=0 +lon_0=166 +k=1 +x_0=3500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3789 projected NZGD2000 / Campbell Island TM 2000 168.65,-52.83,169.6,-52.26 1 6167 +proj=tmerc +lat_0=0 +lon_0=169 +k=1 +x_0=3500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3790 projected NZGD2000 / Antipodes Islands TM 2000 178.4,-49.92,179.37,-47.54 1 6167 +proj=tmerc +lat_0=0 +lon_0=179 +k=1 +x_0=3500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3791 projected NZGD2000 / Raoul Island TM 2000 -179.07,-31.56,-177.62,-29.03 1 6167 +proj=tmerc +lat_0=0 +lon_0=-178 +k=1 +x_0=3500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3793 projected NZGD2000 / Chatham Islands TM 2000 -177.25,-44.64,-175.54,-43.3 1 6167 +proj=tmerc +lat_0=0 +lon_0=-176.5 +k=1 +x_0=3500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3794 projected Slovenia 1996 / Slovene National Grid 13.38,45.42,16.61,46.88 1 6765 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9999 +x_0=500000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3795 projected NAD27 / Cuba Norte -85.01,21.38,-76.91,23.25 1 6267 +proj=lcc +lat_0=22.35 +lon_0=-81 +lat_1=23 +lat_2=21.7 +x_0=500000 +y_0=280296.016 +ellps=clrk66 +towgs84=2.478,149.752,197.726,0.526,0.498,-0.501,0.685 +units=m +no_defs +3796 projected NAD27 / Cuba Sur -78.69,19.77,-74.07,21.5 1 6267 +proj=lcc +lat_0=20.7166666666667 +lon_0=-76.8333333333333 +lat_1=21.3 +lat_2=20.1333333333333 +x_0=500000 +y_0=229126.939 +ellps=clrk66 +towgs84=2.478,149.752,197.726,0.526,0.498,-0.501,0.685 +units=m +no_defs +3797 projected NAD27 / MTQ Lambert -79.85,44.99,-57.1,62.62 9 6267 +proj=lcc +lat_0=44 +lon_0=-70 +lat_1=50 +lat_2=46 +x_0=800000 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +units=m +no_defs +3798 projected NAD83 / MTQ Lambert -79.85,44.99,-57.1,62.62 4 6269 +proj=lcc +lat_0=44 +lon_0=-70 +lat_1=50 +lat_2=46 +x_0=800000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3799 projected NAD83(CSRS) / MTQ Lambert -79.85,44.99,-57.1,62.62 1 6140 +proj=lcc +lat_0=44 +lon_0=-70 +lat_1=50 +lat_2=46 +x_0=800000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3800 projected NAD27 / Alberta 3TM ref merid 120 W -120,52.88,-118.5,60 8 6267 +proj=tmerc +lat_0=0 +lon_0=-120 +k=0.9999 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=4,159,188 +units=m +no_defs +3801 projected NAD83 / Alberta 3TM ref merid 120 W -120,52.88,-118.5,60 4 6269 +proj=tmerc +lat_0=0 +lon_0=-120 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3802 projected NAD83(CSRS) / Alberta 3TM ref merid 120 W -120,52.88,-118.5,60 1 6140 +proj=tmerc +lat_0=0 +lon_0=-120 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3812 projected ETRS89 / Belgian Lambert 2008 2.5,49.5,6.4,51.51 1 6258 +proj=lcc +lat_0=50.797815 +lon_0=4.35921583333333 +lat_1=49.8333333333333 +lat_2=51.1666666666667 +x_0=649328 +y_0=665262 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3814 projected NAD83 / Mississippi TM -91.65,30.01,-88.09,35.01 4 6269 +proj=tmerc +lat_0=32.5 +lon_0=-89.75 +k=0.9998335 +x_0=500000 +y_0=1300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3815 projected NAD83(HARN) / Mississippi TM -91.65,30.01,-88.09,35.01 1 6152 +proj=tmerc +lat_0=32.5 +lon_0=-89.75 +k=0.9998335 +x_0=500000 +y_0=1300000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3816 projected NAD83(NSRS2007) / Mississippi TM -91.65,30.01,-88.09,35.01 2 6759 +proj=tmerc +lat_0=32.5 +lon_0=-89.75 +k=0.9998335 +x_0=500000 +y_0=1300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3819 geographic HD1909 16.11,45.74,22.9,48.58 3 1024 +proj=longlat +ellps=bessel +towgs84=595.48,121.69,515.35,4.115,-2.9383,0.853,-3.408 +no_defs +3821 geographic TWD67 119.25,21.87,122.06,25.34 1025 +proj=longlat +ellps=aust_SA +no_defs +3824 geographic TWD97 114.32,17.36,123.61,26.96 1 1026 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +3825 projected TWD97 / TM2 zone 119 118,18.63,120,24.65 1 1026 +proj=tmerc +lat_0=0 +lon_0=119 +k=0.9999 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3826 projected TWD97 / TM2 zone 121 119.99,20.41,122.06,26.72 1 1026 +proj=tmerc +lat_0=0 +lon_0=121 +k=0.9999 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3827 projected TWD67 / TM2 zone 119 119.25,23.13,119.78,23.82 1025 +proj=tmerc +lat_0=0 +lon_0=119 +k=0.9999 +x_0=250000 +y_0=0 +ellps=aust_SA +units=m +no_defs +3828 projected TWD67 / TM2 zone 121 119.99,21.87,122.06,25.34 1025 +proj=tmerc +lat_0=0 +lon_0=121 +k=0.9999 +x_0=250000 +y_0=0 +ellps=aust_SA +units=m +no_defs +3829 projected Hu Tzu Shan 1950 / UTM zone 51N 119.25,21.87,122.06,25.34 26 6236 +proj=utm +zone=51 +ellps=intl +towgs84=-637,-549,-203 +units=m +no_defs +3832 projected WGS 84 / PDC Mercator 98.69,-60,-68,66.67 6326 +proj=merc +lon_0=150 +k=1 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3833 projected Pulkovo 1942(58) / Gauss-Kruger zone 2 9.92,50.2,12,54.23 6179 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=2500000 +y_0=0 +ellps=krass +units=m +no_defs +3834 projected Pulkovo 1942(83) / Gauss-Kruger zone 2 9.92,50.2,12,54.23 2 6178 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=2500000 +y_0=0 +ellps=krass +towgs84=24,-123,-94,0.02,-0.25,-0.13,1.1 +units=m +no_defs +3835 projected Pulkovo 1942(83) / Gauss-Kruger zone 3 12,45.78,18.01,54.74 5 6178 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +towgs84=26,-121,-78 +units=m +no_defs +3836 projected Pulkovo 1942(83) / Gauss-Kruger zone 4 18,45.74,22.9,50.06 4 6178 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=28,-121,-77 +units=m +no_defs +3837 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 3 9.92,50.35,10.5,51.56 6179 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +units=m +no_defs +3838 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 4 10.5,48.97,13.5,54.74 6179 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +units=m +no_defs +3839 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 9 25.5,41.28,28.5,48.27 3 6179 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=2.329,-147.042,-92.08,-0.309,0.325,0.497,5.69 +units=m +no_defs +3840 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 10 28.5,43.34,29.74,45.44 3 6179 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10500000 +y_0=0 +ellps=krass +towgs84=2.329,-147.042,-92.08,-0.309,0.325,0.497,5.69 +units=m +no_defs +3841 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 6 16.5,45.74,19.5,50.45 4 6178 +proj=tmerc +lat_0=0 +lon_0=18 +k=1 +x_0=6500000 +y_0=0 +ellps=krass +towgs84=28,-121,-77 +units=m +no_defs +3844 projected Pulkovo 1942(58) / Stereo70 20.26,43.44,31.41,48.27 3 6179 +proj=sterea +lat_0=46 +lon_0=25 +k=0.99975 +x_0=500000 +y_0=500000 +ellps=krass +towgs84=2.329,-147.042,-92.08,-0.309,0.325,0.497,5.69 +units=m +no_defs +3845 projected SWEREF99 / RT90 7.5 gon V emulation 10.93,57.29,12.91,59.73 1 6619 +proj=tmerc +lat_0=0 +lon_0=11.30625 +k=1.000006 +x_0=1500025.141 +y_0=-667.282 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3846 projected SWEREF99 / RT90 5 gon V emulation 11.81,55.28,15.44,64.39 1 6619 +proj=tmerc +lat_0=0 +lon_0=13.5562666666667 +k=1.0000058 +x_0=1500044.695 +y_0=-667.13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3847 projected SWEREF99 / RT90 2.5 gon V emulation 13.66,55.95,17.73,67.18 1 6619 +proj=tmerc +lat_0=0 +lon_0=15.8062845294444 +k=1.00000561024 +x_0=1500064.274 +y_0=-667.711 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3848 projected SWEREF99 / RT90 0 gon emulation 16.08,56.86,20.22,68.54 1 6619 +proj=tmerc +lat_0=0 +lon_0=18.0563 +k=1.0000054 +x_0=1500083.521 +y_0=-668.844 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3849 projected SWEREF99 / RT90 2.5 gon O emulation 18.4,63.37,22.2,69.07 1 6619 +proj=tmerc +lat_0=0 +lon_0=20.3063166666667 +k=1.0000052 +x_0=1500102.765 +y_0=-670.706 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3850 projected SWEREF99 / RT90 5 gon O emulation 21.34,65.24,24.17,68.58 1 6619 +proj=tmerc +lat_0=0 +lon_0=22.5563333333333 +k=1.0000049 +x_0=1500121.846 +y_0=-672.557 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3851 projected NZGD2000 / NZCS2000 160.6,-55.95,-171.2,-25.88 1 6167 +proj=lcc +lat_0=-41 +lon_0=173 +lat_1=-37.5 +lat_2=-44.5 +x_0=3000000 +y_0=7000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3852 projected RSRGD2000 / DGLC2000 145,-81,169,-76 1 6764 +proj=lcc +lat_0=-90 +lon_0=157 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3854 projected County ST74 17.25,58.69,19.61,60.27 1 6619 +proj=tmerc +lat_0=0 +lon_0=18.05787 +k=0.99999506 +x_0=100182.7406 +y_0=-6500620.1207 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3857 projected WGS 84 / Pseudo-Mercator -180,-85.06,180,85.06 6326 +proj=webmerc +datum=WGS84 +units=m +no_defs +3873 projected EUREF-FIN / GK19FIN 19.24,60.08,19.5,60.34 1 1391 +proj=tmerc +lat_0=0 +lon_0=19 +k=1 +x_0=19500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3874 projected EUREF-FIN / GK20FIN 19.5,59.92,20.5,60.48 1 1391 +proj=tmerc +lat_0=0 +lon_0=20 +k=1 +x_0=20500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3875 projected EUREF-FIN / GK21FIN 20.5,59.84,21.5,69.33 1 1391 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=21500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3876 projected EUREF-FIN / GK22FIN 21.5,59.76,22.5,69.31 1 1391 +proj=tmerc +lat_0=0 +lon_0=22 +k=1 +x_0=22500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3877 projected EUREF-FIN / GK23FIN 22.5,59.75,23.5,68.74 1 1391 +proj=tmerc +lat_0=0 +lon_0=23 +k=1 +x_0=23500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3878 projected EUREF-FIN / GK24FIN 23.5,59.86,24.5,68.84 1 1391 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=24500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3879 projected EUREF-FIN / GK25FIN 24.5,59.94,25.5,68.9 1 1391 +proj=tmerc +lat_0=0 +lon_0=25 +k=1 +x_0=25500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3880 projected EUREF-FIN / GK26FIN 25.5,60.18,26.5,69.94 1 1391 +proj=tmerc +lat_0=0 +lon_0=26 +k=1 +x_0=26500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3881 projected EUREF-FIN / GK27FIN 26.5,60.36,27.5,70.05 1 1391 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=27500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3882 projected EUREF-FIN / GK28FIN 27.5,60.42,28.5,70.09 1 1391 +proj=tmerc +lat_0=0 +lon_0=28 +k=1 +x_0=28500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3883 projected EUREF-FIN / GK29FIN 28.5,60.94,29.5,69.81 1 1391 +proj=tmerc +lat_0=0 +lon_0=29 +k=1 +x_0=29500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3884 projected EUREF-FIN / GK30FIN 29.5,61.43,30.5,67.98 1 1391 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=30500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3885 projected EUREF-FIN / GK31FIN 30.5,62.08,31.59,64.27 1 1391 +proj=tmerc +lat_0=0 +lon_0=31 +k=1 +x_0=31500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3889 geographic IGRS 38.79,29.06,48.75,37.39 1 1029 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +3890 projected IGRS / UTM zone 37N 38.79,31.14,42,36.75 1 1029 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3891 projected IGRS / UTM zone 38N 42,29.06,48,37.39 1 1029 +proj=utm +zone=38 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3892 projected IGRS / UTM zone 39N 48,29.6,48.75,31 1 1029 +proj=utm +zone=39 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3893 projected ED50 / Iraq National Grid 38.79,29.06,48.61,37.39 2 6230 +proj=tmerc +lat_0=29.0262683333333 +lon_0=46.5 +k=0.9994 +x_0=800000 +y_0=0 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +3906 geographic MGI 1901 13.38,40.85,23.04,46.88 5 1031 +proj=longlat +ellps=bessel +towgs84=682,-203,480 +no_defs +3912 projected MGI 1901 / Slovene National Grid 13.38,45.42,16.61,46.88 1 1031 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9999 +x_0=500000 +y_0=-5000000 +ellps=bessel +towgs84=476.08,125.947,417.81,4.610862,2.388137,-11.942335,9.896638 +units=m +no_defs +3920 projected Puerto Rico / UTM zone 20N -64.88,18.28,-64.25,18.78 6 6139 +proj=utm +zone=20 +ellps=clrk66 +towgs84=11,72,-101 +units=m +no_defs +3942 projected RGF93 v1 / CC42 -1.06,41.31,9.63,43.07 1 6171 +proj=lcc +lat_0=42 +lon_0=3 +lat_1=41.25 +lat_2=42.75 +x_0=1700000 +y_0=1200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3943 projected RGF93 v1 / CC43 -1.79,42.33,7.65,44.01 1 6171 +proj=lcc +lat_0=43 +lon_0=3 +lat_1=42.25 +lat_2=43.75 +x_0=1700000 +y_0=2200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3944 projected RGF93 v1 / CC44 -1.79,42.92,7.71,45 1 6171 +proj=lcc +lat_0=44 +lon_0=3 +lat_1=43.25 +lat_2=44.75 +x_0=1700000 +y_0=3200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3945 projected RGF93 v1 / CC45 -1.46,44,7.71,46 1 6171 +proj=lcc +lat_0=45 +lon_0=3 +lat_1=44.25 +lat_2=45.75 +x_0=1700000 +y_0=4200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3946 projected RGF93 v1 / CC46 -2.21,45,7.16,47 1 6171 +proj=lcc +lat_0=46 +lon_0=3 +lat_1=45.25 +lat_2=46.75 +x_0=1700000 +y_0=5200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3947 projected RGF93 v1 / CC47 -4.77,46,7.63,48 1 6171 +proj=lcc +lat_0=47 +lon_0=3 +lat_1=46.25 +lat_2=47.75 +x_0=1700000 +y_0=6200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3948 projected RGF93 v1 / CC48 -4.87,47,8.23,49 1 6171 +proj=lcc +lat_0=48 +lon_0=3 +lat_1=47.25 +lat_2=48.75 +x_0=1700000 +y_0=7200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3949 projected RGF93 v1 / CC49 -4.87,48,8.23,50 1 6171 +proj=lcc +lat_0=49 +lon_0=3 +lat_1=48.25 +lat_2=49.75 +x_0=1700000 +y_0=8200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3950 projected RGF93 v1 / CC50 -2.03,49,8.08,51.14 1 6171 +proj=lcc +lat_0=50 +lon_0=3 +lat_1=49.25 +lat_2=50.75 +x_0=1700000 +y_0=9200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3968 projected NAD83 / Virginia Lambert -83.68,36.54,-75.31,39.46 4 6269 +proj=lcc +lat_0=36 +lon_0=-79.5 +lat_1=37 +lat_2=39.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3969 projected NAD83(HARN) / Virginia Lambert -83.68,36.54,-75.31,39.46 1 6152 +proj=lcc +lat_0=36 +lon_0=-79.5 +lat_1=37 +lat_2=39.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3970 projected NAD83(NSRS2007) / Virginia Lambert -83.68,36.54,-75.31,39.46 2 6759 +proj=lcc +lat_0=36 +lon_0=-79.5 +lat_1=37 +lat_2=39.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3976 projected WGS 84 / NSIDC Sea Ice Polar Stereographic South -180,-90,180,-60 6326 +proj=stere +lat_0=-90 +lat_ts=-70 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3978 projected NAD83 / Canada Atlas Lambert -141.01,38.21,-40.73,86.46 4 6269 +proj=lcc +lat_0=49 +lon_0=-95 +lat_1=49 +lat_2=77 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +3979 projected NAD83(CSRS) / Canada Atlas Lambert -141.01,38.21,-40.73,86.46 1 6140 +proj=lcc +lat_0=49 +lon_0=-95 +lat_1=49 +lat_2=77 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +3986 projected Katanga 1955 / Katanga Gauss zone A 28.5,-13.46,30.78,-4.99 6695 +proj=tmerc +lat_0=-9 +lon_0=30 +k=1 +x_0=200000 +y_0=500000 +ellps=clrk66 +units=m +no_defs +3987 projected Katanga 1955 / Katanga Gauss zone B 26.5,-13.44,29.5,-4.99 1.5 6695 +proj=tmerc +lat_0=-9 +lon_0=28 +k=1 +x_0=200000 +y_0=500000 +ellps=clrk66 +towgs84=-103.746,-9.614,-255.95 +units=m +no_defs +3988 projected Katanga 1955 / Katanga Gauss zone C 24.5,-12.08,27.5,-4.99 1.5 6695 +proj=tmerc +lat_0=-9 +lon_0=26 +k=1 +x_0=200000 +y_0=500000 +ellps=clrk66 +towgs84=-103.746,-9.614,-255.95 +units=m +no_defs +3989 projected Katanga 1955 / Katanga Gauss zone D 21.74,-11.72,25.51,-6.32 6695 +proj=tmerc +lat_0=-9 +lon_0=24 +k=1 +x_0=200000 +y_0=500000 +ellps=clrk66 +units=m +no_defs +3991 projected Puerto Rico State Plane CS of 1927 -67.97,17.87,-65.19,18.57 6 6139 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=11,72,-101 +to_meter=0.304800609601219 +no_defs +3992 projected Puerto Rico / St. Croix -65.09,17.62,-64.51,18.44 6 6139 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=152400.30480061 +y_0=30480.0609601219 +ellps=clrk66 +towgs84=11,72,-101 +to_meter=0.304800609601219 +no_defs +3993 projected Guam 1963 / Guam SPCS 144.58,13.18,145.01,13.7 6 6675 +proj=aeqd +guam +lat_0=13.4724663527778 +lon_0=144.748750705556 +x_0=50000 +y_0=50000 +ellps=clrk66 +towgs84=-100,-248,259 +units=m +no_defs +3994 projected WGS 84 / Mercator 41 155,-60,-169.99,-25 6326 +proj=merc +lat_ts=-41 +lon_0=100 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3995 projected WGS 84 / Arctic Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lat_ts=71 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3996 projected WGS 84 / IBCAO Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lat_ts=75 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +3997 projected WGS 84 / Dubai Local TM 54.84,24.85,55.55,25.34 6326 +proj=tmerc +lat_0=0 +lon_0=55.3333333333333 +k=1 +x_0=500000 +y_0=0 +datum=WGS84 +units=m +no_defs +4023 geographic MOLDREF99 26.63,45.44,30.13,48.47 1 1032 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4026 projected MOLDREF99 / Moldova TM 26.63,45.44,30.13,48.47 1 1032 +proj=tmerc +lat_0=0 +lon_0=28.4 +k=0.99994 +x_0=200000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4037 projected WGS 84 / TMzn35N 26.63,45.44,30,48.47 6326 +proj=utm +zone=35 +datum=WGS84 +units=m +no_defs +4038 projected WGS 84 / TMzn36N 30,46.37,30.13,46.47 6326 +proj=utm +zone=36 +datum=WGS84 +units=m +no_defs +4046 geographic RGRDC 2005 11.79,-13.46,29.81,-3.41 1 1033 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4048 projected RGRDC 2005 / Congo TM zone 12 11.79,-6.04,13,-4.67 1 1033 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4049 projected RGRDC 2005 / Congo TM zone 14 13,-5.91,15.01,-4.28 1 1033 +proj=tmerc +lat_0=0 +lon_0=14 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4050 projected RGRDC 2005 / Congo TM zone 16 15,-7.31,17,-3.41 1 1033 +proj=tmerc +lat_0=0 +lon_0=16 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4051 projected RGRDC 2005 / Congo TM zone 18 17,-8.11,19,-3.43 1 1033 +proj=tmerc +lat_0=0 +lon_0=18 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4056 projected RGRDC 2005 / Congo TM zone 20 19,-8,21,-3.77 1 1033 +proj=tmerc +lat_0=0 +lon_0=20 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4057 projected RGRDC 2005 / Congo TM zone 22 21,-11.24,23.01,-4.18 1 1033 +proj=tmerc +lat_0=0 +lon_0=22 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4058 projected RGRDC 2005 / Congo TM zone 24 23,-11.47,25,-4.58 1 1033 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4059 projected RGRDC 2005 / Congo TM zone 26 25,-11.99,27,-4.99 1 1033 +proj=tmerc +lat_0=0 +lon_0=26 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4060 projected RGRDC 2005 / Congo TM zone 28 27,-13.39,29,-6.43 1 1033 +proj=tmerc +lat_0=0 +lon_0=28 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4061 projected RGRDC 2005 / UTM zone 33S 12,-8.11,18.01,-3.41 1 1033 +proj=utm +zone=33 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4062 projected RGRDC 2005 / UTM zone 34S 18,-11.24,24,-3.57 1 1033 +proj=utm +zone=34 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4063 projected RGRDC 2005 / UTM zone 35S 24,-13.46,29.81,-4.79 1 1033 +proj=utm +zone=35 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4071 projected Chua / UTM zone 23S -48.1,-15.94,-47.1,-15.37 5 6224 +proj=utm +zone=23 +south +ellps=intl +towgs84=-144.35,242.88,-33.2 +units=m +no_defs +4075 geographic SREF98 18.81,42.23,23.01,46.19 1 1034 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4081 geographic REGCAN95 -21.93,24.6,-11.75,32.76 1 1035 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4082 projected REGCAN95 / UTM zone 27N -21.93,24.6,-18,31.19 1 1035 +proj=utm +zone=27 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4083 projected REGCAN95 / UTM zone 28N -18,25.25,-11.75,32.76 1 1035 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4087 projected WGS 84 / World Equidistant Cylindrical -180,-90,180,90 6326 +proj=eqc +lat_ts=0 +lat_0=0 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +4093 projected ETRS89 / DKTM1 8,54.8,10,57.64 1 6258 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.99998 +x_0=200000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4094 projected ETRS89 / DKTM2 9,54.67,11.29,57.8 1 6258 +proj=tmerc +lat_0=0 +lon_0=10 +k=0.99998 +x_0=400000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4095 projected ETRS89 / DKTM3 10.79,54.51,12.87,56.79 1 6258 +proj=tmerc +lat_0=0 +lon_0=11.75 +k=0.99998 +x_0=600000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4096 projected ETRS89 / DKTM4 14.59,54.94,15.25,55.38 1 6258 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=800000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4120 geographic Greek 19.57,34.88,28.3,41.75 6120 +proj=longlat +ellps=bessel +no_defs +4121 geographic GGRS87 19.57,34.88,28.3,41.75 1 6121 +proj=longlat +ellps=GRS80 +towgs84=-199.87,74.79,246.62 +no_defs +4122 geographic ATS77 -69.05,43.41,-59.73,48.07 6122 +proj=longlat +a=6378135 +rf=298.257 +no_defs +4123 geographic KKJ 19.24,59.75,31.59,70.09 1 6123 +proj=longlat +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +no_defs +4124 geographic RT90 10.03,54.96,24.17,69.07 1 6124 +proj=longlat +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +no_defs +4127 geographic Tete 30.21,-26.87,40.9,-10.42 17 6127 +proj=longlat +ellps=clrk66 +towgs84=-80,-100,-228 +no_defs +4128 geographic Madzansua 30.21,-17.76,35.37,-14.01 6128 +proj=longlat +ellps=clrk66 +no_defs +4129 geographic Observatario 31.29,-26.87,35.65,-19.84 17 6129 +proj=longlat +ellps=clrk66 +towgs84=-132,-110,-335 +no_defs +4130 geographic Moznet 30.21,-27.71,43.03,-10.09 1 6130 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4131 geographic Indian 1960 102.14,7.99,110,23.4 44 6131 +proj=longlat +ellps=evrst30 +towgs84=198,881,317 +no_defs +4132 geographic FD58 47.13,26.21,53.61,33.22 0.5 6132 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-241.54,-163.64,396.06 +no_defs +4133 geographic EST92 21.74,57.52,28.2,59.75 0.5 6133 +proj=longlat +ellps=GRS80 +towgs84=0.055,-0.541,-0.185,0.0183,-0.0003,-0.007,-0.014 +no_defs +4134 geographic PSD93 51.99,16.59,59.91,26.58 0.5 6134 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-180.624,-225.516,173.919,-0.81,-1.898,8.336,16.71006 +no_defs +4135 geographic Old Hawaiian -160.3,18.87,-154.74,22.29 38 6135 +proj=longlat +ellps=clrk66 +towgs84=61,-285,-181 +no_defs +4136 geographic St. Lawrence Island -171.97,62.89,-168.59,63.84 6136 +proj=longlat +ellps=clrk66 +no_defs +4137 geographic St. Paul Island -170.51,57.06,-170.04,57.28 6137 +proj=longlat +ellps=clrk66 +no_defs +4138 geographic St. George Island -169.88,56.49,-169.38,56.67 6138 +proj=longlat +ellps=clrk66 +no_defs +4139 geographic Puerto Rico -67.97,17.62,-64.25,18.78 6 6139 +proj=longlat +ellps=clrk66 +towgs84=11,72,-101 +no_defs +4141 geographic Israel 1993 34.17,29.45,35.69,33.28 0.5 6141 +proj=longlat +ellps=GRS80 +towgs84=23.772,17.49,17.859,-0.3132,-1.85274,1.67299,-5.4262 +no_defs +4142 geographic Locodjo 1965 -8.61,1.02,-2.48,10.74 15 6142 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-125,53,467 +no_defs +4143 geographic Abidjan 1987 -8.61,1.02,-2.48,10.74 2 6143 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-124.76,53,466.79 +no_defs +4144 geographic Kalianpur 1937 60.86,8.02,101.17,37.07 5 6144 +proj=longlat +ellps=evrst30 +towgs84=214,804,268 +no_defs +4145 geographic Kalianpur 1962 60.86,21.05,77.83,37.07 1 6145 +proj=longlat +a=6377301.243 +rf=300.8017255 +towgs84=275.57,676.78,229.6 +no_defs +4146 geographic Kalianpur 1975 68.13,8.02,97.42,35.51 22 6146 +proj=longlat +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +no_defs +4147 geographic Hanoi 1972 102.14,8.33,109.53,23.4 5 6147 +proj=longlat +ellps=krass +towgs84=-17.51,-108.32,-62.39 +no_defs +4148 geographic Hartebeesthoek94 13.33,-50.32,42.85,-22.13 1 6148 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4149 geographic CH1903 5.95,45.81,10.5,47.81 1.5 6149 +proj=longlat +ellps=bessel +towgs84=674.374,15.056,405.346 +no_defs +4150 geographic CH1903+ 5.95,45.81,10.5,47.81 1 6150 +proj=longlat +ellps=bessel +towgs84=674.374,15.056,405.346 +no_defs +4151 geographic CHTRS95 5.95,45.81,10.5,47.81 1 6151 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4152 geographic NAD83(HARN) 144.58,-14.59,-64.51,71.4 2 6152 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4153 geographic Rassadiran 52.5,27.39,52.71,27.61 0.5 6153 +proj=longlat +ellps=intl +towgs84=-133.63,-157.5,-158.62 +no_defs +4154 geographic ED50(ED77) 44.03,23.34,63.34,39.78 1 6154 +proj=longlat +ellps=intl +towgs84=-110.33,-97.73,-119.85,0.3423,1.1634,0.2715,0.063 +no_defs +4155 geographic Dabola 1981 -15.13,7.19,-7.65,12.68 25 6155 +proj=longlat +ellps=clrk80ign +towgs84=-83,37,124 +no_defs +4156 geographic S-JTSK 12.09,47.73,22.56,51.06 6 6156 +proj=longlat +ellps=bessel +towgs84=589,76,480 +no_defs +4157 geographic Mount Dillon -60.9,11.08,-60.44,11.41 6157 +proj=longlat +a=6378293.64520876 +b=6356617.98767984 +no_defs +4158 geographic Naparima 1955 -61.98,9.99,-60.85,10.9 1 6158 +proj=longlat +ellps=intl +towgs84=-0.465,372.095,171.736 +no_defs +4159 geographic ELD79 9.31,19.5,26.21,35.23 5 6159 +proj=longlat +ellps=intl +towgs84=-115.8543,-99.0583,-152.4616 +no_defs +4160 geographic Chos Malal 1914 -72.14,-43.41,-65.86,-31.91 2.5 6160 +proj=longlat +ellps=intl +towgs84=15.75,164.93,126.18 +no_defs +4161 geographic Pampa del Castillo -73.59,-50.34,-65.47,-42.49 2.5 6161 +proj=longlat +ellps=intl +towgs84=-233.43,6.65,173.64 +no_defs +4162 geographic Korean 1985 124.53,33.14,131.01,38.64 6162 +proj=longlat +ellps=bessel +no_defs +4163 geographic Yemen NGN96 41.08,8.95,57.96,19 1 6163 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4164 geographic South Yemen 43.37,12.54,53.14,19 5 6164 +proj=longlat +ellps=krass +towgs84=-76,-138,67 +no_defs +4165 geographic Bissau -16.77,10.87,-13.64,12.69 25 6165 +proj=longlat +ellps=intl +towgs84=-173,253,27 +no_defs +4166 geographic Korean 1995 124.53,33.14,131.01,38.64 2 6166 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4167 geographic NZGD2000 160.6,-55.95,-171.2,-25.88 1 6167 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4168 geographic Accra -3.79,1.4,2.1,11.16 25 6168 +proj=longlat +a=6378300 +rf=296 +towgs84=-199,32,322 +no_defs +4169 geographic American Samoa 1962 -170.88,-14.43,-169.38,-14.11 44 6169 +proj=longlat +ellps=clrk66 +towgs84=-115,118,426 +no_defs +4170 geographic SIRGAS 1995 -113.21,-59.87,-26,16.75 2 6170 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4171 geographic RGF93 v1 -9.86,41.15,10.38,51.56 1 6171 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4173 geographic IRENET95 -10.56,51.39,-5.34,55.43 1 6173 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4174 geographic Sierra Leone 1924 -13.34,8.32,-13.13,8.55 6174 +proj=longlat +a=6378300 +rf=296 +no_defs +4175 geographic Sierra Leone 1968 -13.35,6.88,-10.26,10 26 6175 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-88,4,101 +no_defs +4176 geographic Australian Antarctic 45,-90,160,-60 1 6176 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4178 geographic Pulkovo 1942(83) 9.92,41.24,28.68,54.74 5 6178 +proj=longlat +ellps=krass +towgs84=26,-121,-78 +no_defs +4179 geographic Pulkovo 1942(58) 9.92,39.63,31.41,54.89 3 6179 +proj=longlat +ellps=krass +towgs84=2.329,-147.042,-92.08,-0.309,0.325,0.497,5.69 +no_defs +4180 geographic EST97 20.37,57.52,28.2,60 1 6180 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4181 geographic LUREF 5.73,49.44,6.53,50.19 1 6181 +proj=longlat +ellps=intl +towgs84=-189.6806,18.3463,-42.7695,-0.33746,-3.09264,2.53861,0.4598 +no_defs +4182 geographic Azores Occidental 1939 -31.34,39.3,-31.02,39.77 5 6182 +proj=longlat +ellps=intl +towgs84=-422.651,-172.995,84.02 +no_defs +4183 geographic Azores Central 1948 -28.9,38.32,-26.97,39.14 6 6183 +proj=longlat +ellps=intl +towgs84=-104,167,-38 +no_defs +4184 geographic Azores Oriental 1940 -25.92,36.87,-24.72,37.96 44 6184 +proj=longlat +ellps=intl +towgs84=-203,141,53 +no_defs +4188 geographic OSNI 1952 -8.18,53.96,-5.34,55.36 1 6188 +proj=longlat +ellps=airy +towgs84=482.5,-130.6,564.6,-1.042,-0.214,-0.631,8.15 +no_defs +4189 geographic REGVEN -73.38,0.64,-58.95,16.75 1 6189 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4190 geographic POSGAR 98 -73.59,-58.41,-52.63,-21.78 1 6190 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4191 geographic Albanian 1987 19.22,39.64,21.06,42.67 1 6191 +proj=longlat +ellps=krass +towgs84=-44.183,-0.58,-38.489,2.3867,2.7072,-3.5196,-8.2703 +no_defs +4192 geographic Douala 1948 8.45,2.16,10.4,4.99 10 6192 +proj=longlat +ellps=intl +towgs84=-206.1,-174.7,-87.7 +no_defs +4193 geographic Manoca 1962 8.45,2.16,10.4,4.99 0.5 6193 +proj=longlat +ellps=clrk80ign +towgs84=-70.9,-151.8,-41.4 +no_defs +4194 geographic Qoornoq 1927 -73.29,59.74,-42.52,79 1 6194 +proj=longlat +ellps=intl +towgs84=163.511,127.533,-159.789,0,0,0.814,-0.6 +no_defs +4195 geographic Scoresbysund 1952 -29.69,68.66,-19.89,74.58 1 6195 +proj=longlat +ellps=intl +towgs84=105,326,-102.5,0,0,0.814,-0.6 +no_defs +4196 geographic Ammassalik 1958 -38.86,65.52,-36.81,65.91 1 6196 +proj=longlat +ellps=intl +towgs84=-45,417,-3.5,0,0,0.814,-0.6 +no_defs +4197 geographic Garoua 12.9,8.92,14.19,9.87 6197 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4198 geographic Kousseri 14.17,11.7,15.09,12.77 6198 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4199 geographic Egypt 1930 24.7,21.97,36.95,31.68 6199 +proj=longlat +ellps=intl +no_defs +4200 geographic Pulkovo 1995 18.92,39.87,-168.97,85.19 1 6200 +proj=longlat +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +no_defs +4201 geographic Adindan 21.82,3.4,47.99,22.24 9 6201 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-166,-15,204 +no_defs +4202 geographic AGD66 109.23,-47.2,163.2,-1.3 3 6202 +proj=longlat +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +no_defs +4203 geographic AGD84 109.23,-38.53,153.61,-9.37 3 6203 +proj=longlat +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +no_defs +4204 geographic Ain el Abd 34.51,16.37,55.67,32.16 18 6204 +proj=longlat +ellps=intl +towgs84=-143,-236,7 +no_defs +4205 geographic Afgooye 40.98,-1.71,51.47,12.03 44 6205 +proj=longlat +ellps=krass +towgs84=-43,-163,45 +no_defs +4206 geographic Agadez 0.16,11.69,16,23.53 6206 +proj=longlat +ellps=clrk80ign +no_defs +4207 geographic Lisbon -9.56,36.95,-6.19,42.16 2 6207 +proj=longlat +ellps=intl +towgs84=-288.885,-91.744,126.244,-1.691,0.41,-0.211,-4.598 +no_defs +4208 geographic Aratu -53.38,-35.71,-26,4.26 1 6208 +proj=longlat +ellps=intl +towgs84=-151.99,287.04,-147.45 +no_defs +4209 geographic Arc 1950 19.99,-26.88,35.93,-8.19 44 6209 +proj=longlat +a=6378249.145 +rf=293.4663077 +towgs84=-143,-90,-294 +no_defs +4210 geographic Arc 1960 28.85,-11.75,41.91,4.63 35 6210 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-160,-6,-302 +no_defs +4211 geographic Batavia 95.16,-8.91,117.01,5.97 6 6211 +proj=longlat +ellps=bessel +towgs84=-377,681,-50 +no_defs +4212 geographic Barbados 1938 -59.71,13,-59.37,13.39 3 6212 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=31.95,300.99,419.19 +no_defs +4213 geographic Beduaram 7.81,12.8,14.9,16.7 15 6213 +proj=longlat +ellps=clrk80ign +towgs84=-106,-87,188 +no_defs +4214 geographic Beijing 1954 73.62,16.7,134.77,53.56 1 6214 +proj=longlat +ellps=krass +towgs84=15.8,-154.4,-82.3 +no_defs +4215 geographic BD50 2.5,49.5,6.4,51.51 6215 +proj=longlat +ellps=intl +no_defs +4216 geographic Bermuda 1957 -64.89,32.21,-64.61,32.43 1 6216 +proj=longlat +ellps=clrk66 +towgs84=-292.295,248.758,429.447,4.9971,2.99,6.6906,1.0289 +no_defs +4217 projected NAD83 / BLM 59N (ftUS) 167.65,49.01,174.01,56.28 8 6269 +proj=tmerc +lat_0=0 +lon_0=171 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=-2,0,4 +to_meter=0.304800609601219 +no_defs +4218 geographic Bogota 1975 -79.1,-4.23,-66.87,13.68 10 6218 +proj=longlat +ellps=intl +towgs84=307,304,-318 +no_defs +4219 geographic Bukit Rimpah 105.07,-3.3,108.35,-1.44 6219 +proj=longlat +ellps=bessel +towgs84=-384,664,-48 +no_defs +4220 geographic Camacupa 1948 8.2,-18.02,24.09,-5.82 5 6220 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-50.9,-347.6,-231 +no_defs +4221 geographic Campo Inchauspe -73.59,-54.93,-53.65,-21.78 9 6221 +proj=longlat +ellps=intl +towgs84=-148,136,90 +no_defs +4222 geographic Cape 16.45,-34.88,32.95,-17.78 9 6222 +proj=longlat +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +no_defs +4223 geographic Carthage 7.49,30.23,13.67,38.41 14 6223 +proj=longlat +ellps=clrk80ign +towgs84=-263,6,431 +no_defs +4224 geographic Chua -62.57,-31.91,-47.1,-15.37 12 6224 +proj=longlat +ellps=intl +towgs84=-134,229,-29 +no_defs +4225 geographic Corrego Alegre 1970-72 -58.16,-33.78,-34.74,-2.68 5 6225 +proj=longlat +ellps=intl +towgs84=-206.05,168.28,-3.82 +no_defs +4227 geographic Deir ez Zor 35.04,32.31,42.38,37.3 5 6227 +proj=longlat +ellps=clrk80ign +towgs84=-190.421,8.532,238.69 +no_defs +4229 geographic Egypt 1907 24.7,21.89,37.91,33.82 11 6229 +proj=longlat +ellps=helmert +towgs84=-130,110,-13 +no_defs +4230 geographic ED50 -16.1,25.71,48.61,84.73 10 6230 +proj=longlat +ellps=intl +towgs84=-87,-98,-121 +no_defs +4231 geographic ED87 -10.56,34.88,38.01,84.73 1 6231 +proj=longlat +ellps=intl +towgs84=-83.11,-97.38,-117.22,0.00569290865241986,-0.0446975835137458,0.0442850539012516,0.1218 +no_defs +4232 geographic Fahud 51.99,16.59,59.91,26.42 7 6232 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-345,3,223 +no_defs +4236 geographic Hu Tzu Shan 1950 119.25,21.87,122.06,25.34 26 6236 +proj=longlat +ellps=intl +towgs84=-637,-549,-203 +no_defs +4237 geographic HD72 16.11,45.74,22.9,48.58 1 6237 +proj=longlat +ellps=GRS67 +towgs84=52.17,-71.82,-14.9 +no_defs +4238 geographic ID74 95.16,-10.98,141.01,5.97 3 6238 +proj=longlat +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +no_defs +4239 geographic Indian 1954 92.2,5.63,105.64,28.55 21 6239 +proj=longlat +ellps=evrst30 +towgs84=217,823,299 +no_defs +4240 geographic Indian 1975 97.34,5.63,105.64,20.46 3 6240 +proj=longlat +ellps=evrst30 +towgs84=293,836,318,0.5,1.6,-2.8,2.1 +no_defs +4241 geographic Jamaica 1875 -78.43,17.64,-76.17,18.58 6241 +proj=longlat +a=6378249.14480801 +b=6356514.96620413 +no_defs +4242 geographic JAD69 -78.43,17.64,-76.17,18.58 1 6242 +proj=longlat +ellps=clrk66 +towgs84=-33.722,153.789,94.959,-8.581,-4.478,4.54,8.95 +no_defs +4243 geographic Kalianpur 1880 60.86,8.02,101.17,37.07 6243 +proj=longlat +a=6377299.36559538 +b=6356098.35900516 +no_defs +4244 geographic Kandawala 79.64,5.86,81.95,9.88 35 6244 +proj=longlat +ellps=evrst30 +towgs84=-97,787,86 +no_defs +4245 geographic Kertau 1968 99.59,1.13,105.82,7.81 15 6245 +proj=longlat +ellps=evrst48 +towgs84=-11,851,5 +no_defs +4246 geographic KOC 46.54,28.53,48.48,30.09 1 6246 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-294.7,-200.1,525.5 +no_defs +4247 geographic La Canoa -73.38,0.64,-59.8,12.25 2.5 6247 +proj=longlat +ellps=intl +towgs84=-273.5,110.6,-357.9 +no_defs +4248 geographic PSAD56 -81.41,-43.5,-47.99,12.68 42 6248 +proj=longlat +ellps=intl +towgs84=-288,175,-376 +no_defs +4249 geographic Lake -72.4,8.72,-70.78,11.04 6249 +proj=longlat +ellps=intl +no_defs +4250 geographic Leigon -3.79,1.4,2.1,11.16 5 6250 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-130,29,364 +no_defs +4251 geographic Liberia 1964 -11.52,4.29,-7.36,8.52 26 6251 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-90,40,88 +no_defs +4252 geographic Lome -0.15,2.91,2.42,11.14 6252 +proj=longlat +ellps=clrk80ign +no_defs +4253 geographic Luzon 1911 116.89,4.99,126.65,19.45 17 6253 +proj=longlat +ellps=clrk66 +towgs84=-133,-77,-51 +no_defs +4254 geographic Hito XVIII 1963 -74.83,-55.96,-63.73,-51.65 44 6254 +proj=longlat +ellps=intl +towgs84=16,196,93 +no_defs +4255 geographic Herat North 60.5,29.4,74.92,38.48 6255 +proj=longlat +ellps=intl +towgs84=-333,-222,114 +no_defs +4256 geographic Mahe 1971 55.3,-4.86,55.59,-4.5 44 6256 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=41,-220,-134 +no_defs +4257 geographic Makassar 118.71,-6.54,120.78,-1.88 6257 +proj=longlat +ellps=bessel +towgs84=-587.8,519.75,145.76 +no_defs +4258 geographic ETRS89 -16.1,33.26,38.01,84.73 1 6258 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4259 geographic Malongo 1987 10.53,-6.04,12.37,-5.05 5 6259 +proj=longlat +ellps=intl +towgs84=-254.1,-5.36,-100.29 +no_defs +4261 geographic Merchich -17.16,20.71,-1.01,35.97 7 6261 +proj=longlat +ellps=clrk80ign +towgs84=31,146,47 +no_defs +4262 geographic Massawa 36.44,12.36,43.31,18.1 44 6262 +proj=longlat +ellps=bessel +towgs84=639,405,60 +no_defs +4263 geographic Minna 2.66,1.92,14.65,13.9 15 6263 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-92,-93,122 +no_defs +4265 geographic Monte Mario 5.93,34.76,18.99,47.1 4 6265 +proj=longlat +ellps=intl +towgs84=-104.1,-49.1,-9.9,0.971,-2.917,0.714,-11.68 +no_defs +4266 geographic M'poraloko 7.03,-6.37,14.52,2.32 0.5 6266 +proj=longlat +ellps=clrk80ign +towgs84=-80.7,-132.5,41.1 +no_defs +4267 geographic NAD27 167.65,7.15,-47.74,83.17 20 6267 +proj=longlat +ellps=clrk66 +towgs84=-10,158,187 +no_defs +4269 geographic NAD83 167.65,14.92,-40.73,86.45 4 6269 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4270 geographic Nahrwan 1967 50.55,22.63,57.13,27.05 44 6270 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-249,-156,381 +no_defs +4271 geographic Naparima 1972 -60.9,11.08,-60.44,11.41 26 6271 +proj=longlat +ellps=intl +towgs84=-2,374,172 +no_defs +4272 geographic NZGD49 165.87,-47.65,179.27,-33.89 4 6272 +proj=longlat +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +no_defs +4273 geographic NGO 1948 4.39,57.9,31.32,71.24 3 6273 +proj=longlat +a=6377492.018 +rf=299.1528128 +towgs84=278.3,93,474.5,7.889,0.05,-6.61,6.21 +no_defs +4274 geographic Datum 73 -9.56,36.95,-6.19,42.16 1 6274 +proj=longlat +ellps=intl +towgs84=-239.749,88.181,30.488,0.263,0.082,1.211,2.229 +no_defs +4275 geographic NTF -4.87,41.31,9.63,51.14 2 6275 +proj=longlat +ellps=clrk80ign +towgs84=-168,-60,320 +no_defs +4276 geographic NSWC 9Z-2 -180,-90,180,90 6276 +proj=longlat +ellps=NWL9D +no_defs +4277 geographic OSGB36 -9.01,49.75,2.01,61.01 2 6277 +proj=longlat +ellps=airy +towgs84=446.448,-125.157,542.06,0.15,0.247,0.842,-20.489 +no_defs +4278 geographic OSGB70 -8.82,49.79,1.92,60.94 6278 +proj=longlat +ellps=airy +no_defs +4279 geographic OS(SN)80 -10.56,49.81,1.84,60.9 6279 +proj=longlat +ellps=airy +no_defs +4281 geographic Palestine 1923 34.17,29.18,39.31,33.38 2 6281 +proj=longlat +a=6378300.789 +b=6356566.435 +towgs84=-275.7224,94.7824,340.8944,-8.001,-4.42,-11.821,1 +no_defs +4282 geographic Pointe Noire 8.84,-6.91,18.65,3.72 44 6282 +proj=longlat +ellps=clrk80ign +towgs84=-148,51,-291 +no_defs +4283 geographic GDA94 93.41,-60.55,173.34,-8.47 3 6283 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4284 geographic Pulkovo 1942 19.57,35.14,-168.97,81.91 4.5 6284 +proj=longlat +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +no_defs +4285 geographic Qatar 1974 50.55,24.55,53.04,27.05 1 6285 +proj=longlat +ellps=intl +towgs84=-128.16,-282.42,21.93 +no_defs +4286 geographic Qatar 1948 50.69,24.55,51.68,26.2 6286 +proj=longlat +ellps=helmert +no_defs +4288 geographic Loma Quintana -73.38,7.75,-59.8,12.25 6288 +proj=longlat +ellps=intl +no_defs +4289 geographic Amersfoort 3.2,50.75,7.22,53.7 1 6289 +proj=longlat +ellps=bessel +towgs84=565.4171,50.3319,465.5524,-0.398957388243134,0.343987817378283,-1.87740163998045,4.0725 +no_defs +4292 geographic Sapper Hill 1943 -61.55,-52.51,-57.6,-50.96 2 6292 +proj=longlat +ellps=intl +towgs84=-355,21,72 +no_defs +4293 geographic Schwarzeck 8.24,-30.64,25.27,-16.95 35 6293 +proj=longlat +ellps=bess_nam +towgs84=616,97,-251 +no_defs +4295 geographic Serindung 108.79,0.06,109.78,2.13 6295 +proj=longlat +ellps=bessel +no_defs +4297 geographic Tananarive 42.53,-26.59,51.03,-11.69 3 6297 +proj=longlat +ellps=intl +towgs84=-198.383,-240.517,-107.909 +no_defs +4298 geographic Timbalai 1948 109.31,0.85,119.61,7.67 19 6298 +proj=longlat +ellps=evrstSS +towgs84=-679,669,-48 +no_defs +4299 geographic TM65 -10.56,51.39,-5.34,55.43 1 6299 +proj=longlat +a=6377340.189 +rf=299.3249646 +towgs84=482.5,-130.6,564.6,-1.042,-0.214,-0.631,8.15 +no_defs +4300 geographic TM75 -10.56,51.39,-5.34,55.43 1 6300 +proj=longlat +a=6377340.189 +rf=299.3249646 +towgs84=482.5,-130.6,564.6,-1.042,-0.214,-0.631,8.15 +no_defs +4301 geographic Tokyo 122.83,20.37,154.05,45.54 9 6301 +proj=longlat +ellps=bessel +towgs84=-146.414,507.337,680.507 +no_defs +4302 geographic Trinidad 1903 -62.09,9.83,-60,11.51 2 6302 +proj=longlat +a=6378293.64520876 +b=6356617.98767984 +towgs84=-61.702,284.488,472.052 +no_defs +4303 geographic TC(1948) 51.56,22.63,56.03,25.34 6303 +proj=longlat +ellps=helmert +no_defs +4304 geographic Voirol 1875 -2.95,31.99,9.09,37.14 6304 +proj=longlat +ellps=clrk80ign +towgs84=-73,-247,227 +no_defs +4306 geographic Bern 1938 5.95,45.81,10.5,47.81 6306 +proj=longlat +ellps=bessel +no_defs +4307 geographic Nord Sahara 1959 -8.67,18.97,11.99,38.8 1 6307 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +no_defs +4308 geographic RT38 10.93,55.28,24.17,69.07 6308 +proj=longlat +ellps=bessel +no_defs +4309 geographic Yacare -58.49,-35,-53.09,-30.09 1.5 6309 +proj=longlat +ellps=intl +towgs84=-124.45,183.74,44.64,-0.4384,0.5446,-0.9706,-2.1365 +no_defs +4310 geographic Yoff -20.22,10.64,-11.36,16.7 5 6310 +proj=longlat +ellps=clrk80ign +towgs84=-30,190,89 +no_defs +4311 geographic Zanderij -58.08,1.83,-52.66,9.35 11 6311 +proj=longlat +ellps=intl +towgs84=-265,120,-358 +no_defs +4312 geographic MGI 9.53,46.4,17.17,49.02 1.5 6312 +proj=longlat +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +no_defs +4313 geographic BD72 2.5,49.5,6.4,51.51 1 6313 +proj=longlat +ellps=intl +towgs84=-106.8686,52.2978,-103.7239,0.3366,-0.457,1.8422,-1.2747 +no_defs +4314 geographic DHDN 5.86,47.27,13.84,55.09 3 6314 +proj=longlat +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +no_defs +4315 geographic Conakry 1905 -15.13,7.19,-7.65,12.68 30 6315 +proj=longlat +ellps=clrk80ign +towgs84=-23,259,-9 +no_defs +4316 geographic Dealul Piscului 1930 20.26,43.62,29.74,48.27 10 6316 +proj=longlat +ellps=intl +towgs84=103.25,-100.4,-307.19 +no_defs +4318 geographic NGN 46.54,28.53,48.48,30.09 1 6318 +proj=longlat +ellps=WGS84 +towgs84=-3.2,-5.7,2.8 +no_defs +4319 geographic KUDAMS 47.78,29.17,48.16,29.45 1 6319 +proj=longlat +ellps=GRS80 +towgs84=226.702,-193.337,-35.371,-2.229,-4.391,9.238,0.9798 +no_defs +4322 geographic WGS 72 -180,-90,180,90 2 6322 +proj=longlat +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +no_defs +4324 geographic WGS 72BE -180,-90,180,90 2 6324 +proj=longlat +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +no_defs +4326 geographic WGS 84 -180,-90,180,90 6326 +proj=longlat +datum=WGS84 +no_defs +4390 projected Kertau 1968 / Johor Grid 102.44,1.21,104.6,2.95 15 6245 +proj=cass +lat_0=2.04258333333333 +lon_0=103.562758333333 +x_0=0 +y_0=0 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4391 projected Kertau 1968 / Sembilan and Melaka Grid 101.7,2.03,102.71,3.28 15 6245 +proj=cass +lat_0=2.71228333333333 +lon_0=101.941166666667 +x_0=-242.005 +y_0=-948.547 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4392 projected Kertau 1968 / Pahang Grid 101.33,2.45,103.67,4.78 15 6245 +proj=cass +lat_0=3.71097222222222 +lon_0=102.436177777778 +x_0=0 +y_0=0 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4393 projected Kertau 1968 / Selangor Grid 100.76,2.54,101.97,3.87 15 6245 +proj=cass +lat_0=3.68034444444444 +lon_0=101.508244444444 +x_0=-21759.438 +y_0=55960.906 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4394 projected Kertau 1968 / Terengganu Grid 102.38,3.89,103.72,5.9 15 6245 +proj=cass +lat_0=4.94614166666667 +lon_0=102.895208333333 +x_0=0 +y_0=0 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4395 projected Kertau 1968 / Pinang Grid 100.12,5.12,100.56,5.59 15 6245 +proj=cass +lat_0=5.421325 +lon_0=100.345869444444 +x_0=0 +y_0=0 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4396 projected Kertau 1968 / Kedah and Perlis Grid 99.59,5.08,101.12,6.72 15 6245 +proj=cass +lat_0=5.96514722222222 +lon_0=100.637594444444 +x_0=0 +y_0=0 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4397 projected Kertau 1968 / Perak Revised Grid 100.07,3.66,102,5.92 15 6245 +proj=cass +lat_0=4.85938055555556 +lon_0=100.816766666667 +x_0=0 +y_0=133453.669 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4398 projected Kertau 1968 / Kelantan Grid 101.33,4.54,102.67,6.29 15 6245 +proj=cass +lat_0=5.89392222222222 +lon_0=102.177291666667 +x_0=0 +y_0=0 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +4399 projected NAD27 / BLM 59N (ftUS) 167.65,49.01,174.01,56.28 18 6267 +proj=tmerc +lat_0=0 +lon_0=171 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=2,204,105 +to_meter=0.304800609601219 +no_defs +4400 projected NAD27 / BLM 60N (ftUS) 174,47.92,180,56.67 18 6267 +proj=tmerc +lat_0=0 +lon_0=177 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=2,204,105 +to_meter=0.304800609601219 +no_defs +4401 projected NAD27 / BLM 1N (ftUS) -180,47.88,-173.99,63.21 15 6267 +proj=tmerc +lat_0=0 +lon_0=-177 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-2,152,149 +to_meter=0.304800609601219 +no_defs +4402 projected NAD27 / BLM 2N (ftUS) -174,48.66,-167.99,73.05 15 6267 +proj=tmerc +lat_0=0 +lon_0=-171 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-2,152,149 +to_meter=0.304800609601219 +no_defs +4403 projected NAD27 / BLM 3N (ftUS) -168,49.52,-161.99,74.29 12 6267 +proj=tmerc +lat_0=0 +lon_0=-165 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +4404 projected NAD27 / BLM 4N (ftUS) -162,50.98,-155.99,74.71 12 6267 +proj=tmerc +lat_0=0 +lon_0=-159 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +4405 projected NAD27 / BLM 5N (ftUS) -156,52.15,-149.99,74.71 12 6267 +proj=tmerc +lat_0=0 +lon_0=-153 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +4406 projected NAD27 / BLM 6N (ftUS) -150,54.05,-143.99,74.13 12 6267 +proj=tmerc +lat_0=0 +lon_0=-147 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +4407 projected NAD27 / BLM 7N (ftUS) -144,53.47,-137.99,73.59 12 6267 +proj=tmerc +lat_0=0 +lon_0=-141 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +4408 projected NAD27 / BLM 8N (ftUS) -138,53.6,-131.99,73.04 20 6267 +proj=tmerc +lat_0=0 +lon_0=-135 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-10,158,187 +to_meter=0.304800609601219 +no_defs +4409 projected NAD27 / BLM 9N (ftUS) -132,35.38,-126,56.84 20 6267 +proj=tmerc +lat_0=0 +lon_0=-129 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-10,158,187 +to_meter=0.304800609601219 +no_defs +4410 projected NAD27 / BLM 10N (ftUS) -126,30.54,-119.99,49.09 10 6267 +proj=tmerc +lat_0=0 +lon_0=-123 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +4411 projected NAD27 / BLM 11N (ftUS) -120,30.88,-114,49.01 7 6267 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +4412 projected NAD27 / BLM 12N (ftUS) -114,31.33,-108,49.01 7 6267 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +4413 projected NAD27 / BLM 13N (ftUS) -108,28.98,-102,49.01 7 6267 +proj=tmerc +lat_0=0 +lon_0=-105 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +4414 projected NAD83(HARN) / Guam Map Grid 144.58,13.18,145.01,13.7 2 6152 +proj=tmerc +lat_0=13.5 +lon_0=144.75 +k=1 +x_0=100000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4415 projected Katanga 1955 / Katanga Lambert 21.74,-13.46,30.78,-4.99 1.5 6695 +proj=lcc +lat_0=-9 +lon_0=26 +lat_1=-6.5 +lat_2=-11.5 +x_0=500000 +y_0=500000 +ellps=clrk66 +towgs84=-103.746,-9.614,-255.95 +units=m +no_defs +4417 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 7 19.5,46.1,22.5,49.59 4 6178 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=28,-121,-77 +units=m +no_defs +4418 projected NAD27 / BLM 18N (ftUS) -78,28.28,-72,45.03 10 6267 +proj=tmerc +lat_0=0 +lon_0=-75 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +4419 projected NAD27 / BLM 19N (ftUS) -72,33.61,-65.99,47.47 10 6267 +proj=tmerc +lat_0=0 +lon_0=-69 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +4420 projected NAD83 / BLM 60N (ftUS) 174,47.92,180,56.67 8 6269 +proj=tmerc +lat_0=0 +lon_0=177 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=-2,0,4 +to_meter=0.304800609601219 +no_defs +4421 projected NAD83 / BLM 1N (ftUS) -180,47.88,-173.99,63.21 8 6269 +proj=tmerc +lat_0=0 +lon_0=-177 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=-2,0,4 +to_meter=0.304800609601219 +no_defs +4422 projected NAD83 / BLM 2N (ftUS) -174,48.66,-167.99,73.05 4 6269 +proj=tmerc +lat_0=0 +lon_0=-171 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4423 projected NAD83 / BLM 3N (ftUS) -168,49.52,-161.99,74.29 4 6269 +proj=tmerc +lat_0=0 +lon_0=-165 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4424 projected NAD83 / BLM 4N (ftUS) -162,50.98,-155.99,74.71 4 6269 +proj=tmerc +lat_0=0 +lon_0=-159 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4425 projected NAD83 / BLM 5N (ftUS) -156,52.15,-149.99,74.71 4 6269 +proj=tmerc +lat_0=0 +lon_0=-153 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4426 projected NAD83 / BLM 6N (ftUS) -150,54.05,-143.99,74.13 4 6269 +proj=tmerc +lat_0=0 +lon_0=-147 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4427 projected NAD83 / BLM 7N (ftUS) -144,53.47,-137.99,73.59 4 6269 +proj=tmerc +lat_0=0 +lon_0=-141 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4428 projected NAD83 / BLM 8N (ftUS) -138,53.6,-131.99,73.04 4 6269 +proj=tmerc +lat_0=0 +lon_0=-135 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4429 projected NAD83 / BLM 9N (ftUS) -132,35.38,-126,56.84 4 6269 +proj=tmerc +lat_0=0 +lon_0=-129 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4430 projected NAD83 / BLM 10N (ftUS) -126,30.54,-119.99,49.09 4 6269 +proj=tmerc +lat_0=0 +lon_0=-123 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4431 projected NAD83 / BLM 11N (ftUS) -120,30.88,-114,49.01 4 6269 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4432 projected NAD83 / BLM 12N (ftUS) -114,31.33,-108,49.01 4 6269 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4433 projected NAD83 / BLM 13N (ftUS) -108,28.98,-102,49.01 4 6269 +proj=tmerc +lat_0=0 +lon_0=-105 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4434 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 8 22.5,47.76,22.9,49.1 4 6178 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=28,-121,-77 +units=m +no_defs +4437 projected NAD83(NSRS2007) / Puerto Rico and Virgin Is. -67.97,17.62,-64.51,18.57 2 6759 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=200000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4438 projected NAD83 / BLM 18N (ftUS) -78,28.28,-72,45.03 4 6269 +proj=tmerc +lat_0=0 +lon_0=-75 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4439 projected NAD83 / BLM 19N (ftUS) -72,33.61,-65.99,47.47 4 6269 +proj=tmerc +lat_0=0 +lon_0=-69 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4455 projected NAD27 / Pennsylvania South -80.53,39.71,-74.72,41.18 10 6267 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +4456 projected NAD27 / New York Long Island -74.26,40.47,-71.8,41.3 10 6267 +proj=lcc +lat_0=40.5 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=609601.219202438 +y_0=30480.0609601219 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +4457 projected NAD83 / South Dakota North (ftUS) -104.07,44.14,-96.45,45.95 4 6269 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +4462 projected WGS 84 / Australian Centre for Remote Sensing Lambert 112.85,-43.7,153.69,-9.86 6326 +proj=lcc +lat_0=-27 +lon_0=132 +lat_1=-18 +lat_2=-36 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +4463 geographic RGSPM06 -57.1,43.41,-55.9,47.37 1 1038 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4467 projected RGSPM06 / UTM zone 21N -57.1,43.41,-55.9,47.37 1 1038 +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4470 geographic RGM04 43.68,-14.49,46.7,-11.33 1 1036 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4471 projected RGM04 / UTM zone 38S 43.68,-14.49,46.7,-11.33 1 1036 +proj=utm +zone=38 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4475 geographic Cadastre 1997 44.98,-13.05,45.35,-12.61 1 1037 +proj=longlat +ellps=intl +towgs84=-381.788,-57.501,-256.673 +no_defs +4483 geographic Mexico ITRF92 -122.19,12.1,-84.64,32.72 1 1042 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4484 projected Mexico ITRF92 / UTM zone 11N -122.19,15.01,-114,32.72 1 1042 +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4485 projected Mexico ITRF92 / UTM zone 12N -114,15.09,-108,32.27 1 1042 +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4486 projected Mexico ITRF92 / UTM zone 13N -108,14.05,-102,31.79 1 1042 +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4487 projected Mexico ITRF92 / UTM zone 14N -102,12.3,-96,29.81 1 1042 +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4488 projected Mexico ITRF92 / UTM zone 15N -96,12.1,-90,26 1 1042 +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4489 projected Mexico ITRF92 / UTM zone 16N -90,17.81,-84.64,25.77 1 1042 +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4490 geographic China Geodetic Coordinate System 2000 73.62,16.7,134.77,53.56 1043 +proj=longlat +ellps=GRS80 +no_defs +4491 projected CGCS2000 / Gauss-Kruger zone 13 73.62,35.42,78.01,41.07 1043 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4492 projected CGCS2000 / Gauss-Kruger zone 14 77.98,29.16,84,47.23 1043 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4493 projected CGCS2000 / Gauss-Kruger zone 15 84,27.32,90,49.18 1043 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4494 projected CGCS2000 / Gauss-Kruger zone 16 90,27.71,96.01,47.9 1043 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4495 projected CGCS2000 / Gauss-Kruger zone 17 96,21.13,102.01,43.18 1043 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4496 projected CGCS2000 / Gauss-Kruger zone 18 102,17.75,108,42.47 1043 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4497 projected CGCS2000 / Gauss-Kruger zone 19 108,16.7,114,45.11 1043 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4498 projected CGCS2000 / Gauss-Kruger zone 20 114,19.02,120,51.52 1043 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4499 projected CGCS2000 / Gauss-Kruger zone 21 120,24.64,126,53.56 1043 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4500 projected CGCS2000 / Gauss-Kruger zone 22 126,29.7,132,52.79 1043 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4501 projected CGCS2000 / Gauss-Kruger zone 23 132,45.02,134.77,48.4 1043 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4502 projected CGCS2000 / Gauss-Kruger CM 75E 73.62,35.42,78.01,41.07 1043 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4503 projected CGCS2000 / Gauss-Kruger CM 81E 77.98,29.16,84,47.23 1043 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4504 projected CGCS2000 / Gauss-Kruger CM 87E 84,27.32,90,49.18 1043 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4505 projected CGCS2000 / Gauss-Kruger CM 93E 90,27.71,96.01,47.9 1043 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4506 projected CGCS2000 / Gauss-Kruger CM 99E 96,21.13,102.01,43.18 1043 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4507 projected CGCS2000 / Gauss-Kruger CM 105E 102,17.75,108,42.47 1043 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4508 projected CGCS2000 / Gauss-Kruger CM 111E 108,16.7,114,45.11 1043 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4509 projected CGCS2000 / Gauss-Kruger CM 117E 114,19.02,120,51.52 1043 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4510 projected CGCS2000 / Gauss-Kruger CM 123E 120,24.64,126,53.56 1043 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4511 projected CGCS2000 / Gauss-Kruger CM 129E 126,29.7,132,52.79 1043 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4512 projected CGCS2000 / Gauss-Kruger CM 135E 132,45.02,134.77,48.4 1043 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4513 projected CGCS2000 / 3-degree Gauss-Kruger zone 25 73.62,35.81,76.5,40.65 1043 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4514 projected CGCS2000 / 3-degree Gauss-Kruger zone 26 76.5,31.03,79.5,41.83 1043 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4515 projected CGCS2000 / 3-degree Gauss-Kruger zone 27 79.5,29.95,82.51,45.88 1043 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4516 projected CGCS2000 / 3-degree Gauss-Kruger zone 28 82.5,28.26,85.5,47.23 1043 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4517 projected CGCS2000 / 3-degree Gauss-Kruger zone 29 85.5,27.8,88.5,49.18 1043 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4518 projected CGCS2000 / 3-degree Gauss-Kruger zone 30 88.49,27.32,91.51,48.42 1043 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4519 projected CGCS2000 / 3-degree Gauss-Kruger zone 31 91.5,27.71,94.5,45.13 1043 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4520 projected CGCS2000 / 3-degree Gauss-Kruger zone 32 94.5,28.23,97.51,44.5 1043 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4521 projected CGCS2000 / 3-degree Gauss-Kruger zone 33 97.5,21.43,100.5,42.76 1043 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4522 projected CGCS2000 / 3-degree Gauss-Kruger zone 34 100.5,21.13,103.5,42.69 1043 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4523 projected CGCS2000 / 3-degree Gauss-Kruger zone 35 103.5,22.5,106.51,42.21 1043 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4524 projected CGCS2000 / 3-degree Gauss-Kruger zone 36 106.5,18.19,109.51,42.47 1043 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4525 projected CGCS2000 / 3-degree Gauss-Kruger zone 37 109.5,18.11,112.5,45.11 1043 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4526 projected CGCS2000 / 3-degree Gauss-Kruger zone 38 112.5,21.52,115.5,45.45 1043 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4527 projected CGCS2000 / 3-degree Gauss-Kruger zone 39 115.5,22.6,118.5,49.88 1043 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4528 projected CGCS2000 / 3-degree Gauss-Kruger zone 40 118.5,24.43,121.5,53.33 1043 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4529 projected CGCS2000 / 3-degree Gauss-Kruger zone 41 121.5,28.22,124.5,53.56 1043 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4530 projected CGCS2000 / 3-degree Gauss-Kruger zone 42 124.5,40.19,127.5,53.2 1043 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4531 projected CGCS2000 / 3-degree Gauss-Kruger zone 43 127.5,41.37,130.5,50.25 1043 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4532 projected CGCS2000 / 3-degree Gauss-Kruger zone 44 130.5,42.42,133.5,48.88 1043 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4533 projected CGCS2000 / 3-degree Gauss-Kruger zone 45 133.5,45.85,134.77,48.4 1043 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4534 projected CGCS2000 / 3-degree Gauss-Kruger CM 75E 73.62,35.81,76.5,40.65 1043 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4535 projected CGCS2000 / 3-degree Gauss-Kruger CM 78E 76.5,31.03,79.5,41.83 1043 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4536 projected CGCS2000 / 3-degree Gauss-Kruger CM 81E 79.5,29.95,82.51,45.88 1043 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4537 projected CGCS2000 / 3-degree Gauss-Kruger CM 84E 82.5,28.26,85.5,47.23 1043 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4538 projected CGCS2000 / 3-degree Gauss-Kruger CM 87E 85.5,27.8,88.5,49.18 1043 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4539 projected CGCS2000 / 3-degree Gauss-Kruger CM 90E 88.49,27.32,91.51,48.42 1043 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4540 projected CGCS2000 / 3-degree Gauss-Kruger CM 93E 91.5,27.71,94.5,45.13 1043 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4541 projected CGCS2000 / 3-degree Gauss-Kruger CM 96E 94.5,28.23,97.51,44.5 1043 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4542 projected CGCS2000 / 3-degree Gauss-Kruger CM 99E 97.5,21.43,100.5,42.76 1043 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4543 projected CGCS2000 / 3-degree Gauss-Kruger CM 102E 100.5,21.13,103.5,42.69 1043 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4544 projected CGCS2000 / 3-degree Gauss-Kruger CM 105E 103.5,22.5,106.51,42.21 1043 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4545 projected CGCS2000 / 3-degree Gauss-Kruger CM 108E 106.5,18.19,109.51,42.47 1043 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4546 projected CGCS2000 / 3-degree Gauss-Kruger CM 111E 109.5,18.11,112.5,45.11 1043 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4547 projected CGCS2000 / 3-degree Gauss-Kruger CM 114E 112.5,21.52,115.5,45.45 1043 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4548 projected CGCS2000 / 3-degree Gauss-Kruger CM 117E 115.5,22.6,118.5,49.88 1043 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4549 projected CGCS2000 / 3-degree Gauss-Kruger CM 120E 118.5,24.43,121.5,53.33 1043 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4550 projected CGCS2000 / 3-degree Gauss-Kruger CM 123E 121.5,28.22,124.5,53.56 1043 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4551 projected CGCS2000 / 3-degree Gauss-Kruger CM 126E 124.5,40.19,127.5,53.2 1043 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4552 projected CGCS2000 / 3-degree Gauss-Kruger CM 129E 127.5,41.37,130.5,50.25 1043 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4553 projected CGCS2000 / 3-degree Gauss-Kruger CM 132E 130.5,42.42,133.5,48.88 1043 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4554 projected CGCS2000 / 3-degree Gauss-Kruger CM 135E 133.5,45.85,134.77,48.4 1043 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +4555 geographic New Beijing 73.62,18.11,134.77,53.56 1045 +proj=longlat +ellps=krass +no_defs +4558 geographic RRAF 1991 -63.66,14.08,-57.52,18.54 1 1047 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4559 projected RRAF 1991 / UTM zone 20N -63.66,14.08,-60,18.32 1 1047 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4568 projected New Beijing / Gauss-Kruger zone 13 73.62,35.42,78.01,41.07 1045 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +units=m +no_defs +4569 projected New Beijing / Gauss-Kruger zone 14 77.98,29.16,84,47.23 1045 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=krass +units=m +no_defs +4570 projected New Beijing / Gauss-Kruger zone 15 84,27.32,90,49.18 1045 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=krass +units=m +no_defs +4571 projected New Beijing / Gauss-Kruger zone 16 90,27.71,96.01,47.9 1045 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=krass +units=m +no_defs +4572 projected New Beijing / Gauss-Kruger zone 17 96,21.13,102.01,43.18 1045 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=krass +units=m +no_defs +4573 projected New Beijing / Gauss-Kruger zone 18 102,21.53,108,42.47 1045 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +units=m +no_defs +4574 projected New Beijing / Gauss-Kruger zone 19 108,18.11,114,45.11 1045 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +units=m +no_defs +4575 projected New Beijing / Gauss-Kruger zone 20 114,22.14,120,51.52 1045 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=krass +units=m +no_defs +4576 projected New Beijing / Gauss-Kruger zone 21 120,26.34,126,53.56 1045 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=krass +units=m +no_defs +4577 projected New Beijing / Gauss-Kruger zone 22 126,40.89,132,52.79 1045 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=krass +units=m +no_defs +4578 projected New Beijing / Gauss-Kruger zone 23 132,45.02,134.77,48.4 1045 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=krass +units=m +no_defs +4579 projected New Beijing / Gauss-Kruger CM 75E 73.62,35.42,78.01,41.07 1045 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4580 projected New Beijing / Gauss-Kruger CM 81E 77.98,29.16,84,47.23 1045 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4581 projected New Beijing / Gauss-Kruger CM 87E 84,27.32,90,49.18 1045 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4582 projected New Beijing / Gauss-Kruger CM 93E 90,27.71,96.01,47.9 1045 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4583 projected New Beijing / Gauss-Kruger CM 99E 96,21.13,102.01,43.18 1045 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4584 projected New Beijing / Gauss-Kruger CM 105E 102,21.53,108,42.47 1045 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4585 projected New Beijing / Gauss-Kruger CM 111E 108,18.11,114,45.11 1045 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4586 projected New Beijing / Gauss-Kruger CM 117E 114,22.14,120,51.52 1045 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4587 projected New Beijing / Gauss-Kruger CM 123E 120,26.34,126,53.56 1045 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4588 projected New Beijing / Gauss-Kruger CM 129E 126,40.89,132,52.79 1045 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4589 projected New Beijing / Gauss-Kruger CM 135E 132,45.02,134.77,48.4 1045 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4600 geographic Anguilla 1957 -63.22,18.11,-62.92,18.33 6600 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4601 geographic Antigua 1943 -61.95,16.94,-61.61,17.22 10 6601 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-255,-15,71 +no_defs +4602 geographic Dominica 1945 -61.55,15.14,-61.2,15.69 10 6602 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=725,685,536 +no_defs +4603 geographic Grenada 1953 -61.84,11.94,-61.35,12.57 10 6603 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=72,213.7,93 +no_defs +4604 geographic Montserrat 1958 -62.29,16.62,-62.08,16.87 44 6604 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=174,359,365 +no_defs +4605 geographic St. Kitts 1955 -62.92,17.06,-62.5,17.46 10 6605 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=9,183,236 +no_defs +4606 geographic St. Lucia 1955 -61.13,13.66,-60.82,14.16 2 6606 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-153,153,307 +no_defs +4607 geographic St. Vincent 1945 -61.52,12.54,-61.07,13.44 1 6607 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=195.671,332.517,274.607 +no_defs +4608 geographic NAD27(76) -95.16,41.67,-74.35,56.9 6608 +proj=longlat +ellps=clrk66 +no_defs +4609 geographic NAD27(CGQ77) -79.85,44.99,-57.1,62.62 6609 +proj=longlat +ellps=clrk66 +no_defs +4610 geographic Xian 1980 73.62,18.11,134.77,53.56 6610 +proj=longlat +ellps=IAU76 +no_defs +4611 geographic Hong Kong 1980 113.76,22.13,114.51,22.58 1 6611 +proj=longlat +ellps=intl +towgs84=-162.619,-276.959,-161.764,0.067753,-2.243648,-1.158828,-1.094246 +no_defs +4612 geographic JGD2000 122.38,17.09,157.65,46.05 1 6612 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4613 geographic Segara 114.55,-4.24,119.06,4.29 5 6613 +proj=longlat +ellps=bessel +towgs84=-387.06,636.53,46.29 +no_defs +4614 geographic QND95 50.69,24.55,51.68,26.2 0 6614 +proj=longlat +ellps=intl +towgs84=-119.4248,-303.65872,-11.00061,1.164298,0.174458,1.096259,3.657065 +no_defs +4615 geographic Porto Santo -17.31,32.35,-16.23,33.15 44 6615 +proj=longlat +ellps=intl +towgs84=-499,-249,314 +no_defs +4616 geographic Selvagem Grande -16.11,29.98,-15.79,30.21 44 6616 +proj=longlat +ellps=intl +towgs84=-289,-124,60 +no_defs +4617 geographic NAD83(CSRS) -141.01,38.21,-40.73,86.46 1 6140 +proj=longlat +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +no_defs +4618 geographic SAD69 -91.72,-55.96,-25.28,12.52 19 6618 +proj=longlat +ellps=aust_SA +towgs84=-57,1,-41 +no_defs +4619 geographic SWEREF99 10.03,54.96,24.17,69.07 1 6619 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4620 geographic Point 58 -17.19,10.26,30.42,15.7 44 6620 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-106,-129,165 +no_defs +4621 geographic Fort Marigot -63.21,17.82,-62.73,18.17 10 6621 +proj=longlat +ellps=intl +towgs84=137,248,-430 +no_defs +4622 geographic Guadeloupe 1948 -61.85,15.8,-60.97,16.55 0.1 6622 +proj=longlat +ellps=intl +towgs84=-472.29,-5.63,-304.12,0.4362,-0.8374,0.2563,1.8984 +no_defs +4623 geographic CSG67 -54.45,3.43,-51.61,5.81 10 6623 +proj=longlat +ellps=intl +towgs84=-186,230,110 +no_defs +4624 geographic RGFG95 -54.61,2.11,-49.45,8.88 1 6624 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4625 geographic Martinique 1938 -61.29,14.35,-60.76,14.93 0.1 6625 +proj=longlat +ellps=intl +towgs84=126.93,547.94,130.41,-2.7867,5.1612,-0.8584,13.8227 +no_defs +4626 geographic Reunion 1947 55.16,-21.42,55.91,-20.81 44 6626 +proj=longlat +ellps=intl +towgs84=94,-948,-1262 +no_defs +4627 geographic RGR92 51.83,-24.72,58.24,-18.28 1 6627 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4628 geographic Tahiti 52 -150,-17.93,-149.09,-17.41 10 6628 +proj=longlat +ellps=intl +towgs84=162,117,154 +no_defs +4629 geographic Tahaa 54 -151.91,-16.96,-150.89,-16.17 1 6629 +proj=longlat +ellps=intl +towgs84=72.51,345.411,79.241,-1.5862,-0.8826,-0.5495,1.3653 +no_defs +4630 geographic IGN72 Nuku Hiva -140.31,-9.57,-139.44,-8.72 10 6630 +proj=longlat +ellps=intl +towgs84=84,274,65 +no_defs +4632 geographic Combani 1950 44.98,-13.05,45.35,-12.61 10 6632 +proj=longlat +ellps=intl +towgs84=-382,-59,-262 +no_defs +4633 geographic IGN56 Lifou 166.98,-21.24,167.52,-20.62 1 6633 +proj=longlat +ellps=intl +towgs84=335.47,222.58,-230.94 +no_defs +4636 geographic Petrels 1972 139.44,-66.78,141.5,-66.1 10 6636 +proj=longlat +ellps=intl +towgs84=365,194,166 +no_defs +4637 geographic Perroud 1950 136,-67.13,142,-65.61 10 6637 +proj=longlat +ellps=intl +towgs84=325,154,172 +no_defs +4638 geographic Saint Pierre et Miquelon 1950 -56.48,46.69,-56.07,47.19 1 6638 +proj=longlat +ellps=clrk66 +towgs84=11.363,424.148,373.13 +no_defs +4639 geographic MOP78 -176.25,-13.41,-176.07,-13.16 10 6639 +proj=longlat +ellps=intl +towgs84=253,-132,-127 +no_defs +4641 geographic IGN53 Mare 167.75,-21.71,168.19,-21.32 2 6641 +proj=longlat +ellps=intl +towgs84=287.58,177.78,-135.41 +no_defs +4642 geographic ST84 Ile des Pins 167.36,-22.73,167.61,-22.49 10 6642 +proj=longlat +ellps=intl +towgs84=-13,-348,292 +no_defs +4643 geographic ST71 Belep 163.54,-19.85,163.75,-19.5 1 6643 +proj=longlat +ellps=intl +towgs84=-480.26,-438.32,-643.429,16.3119,20.1721,-4.0349,-111.7002 +no_defs +4644 geographic NEA74 Noumea 166.35,-22.37,166.54,-22.19 1 6644 +proj=longlat +ellps=intl +towgs84=-10.18,-350.43,291.37 +no_defs +4646 geographic Grand Comoros 43.16,-11.99,43.55,-11.31 6646 +proj=longlat +ellps=intl +towgs84=-963,510,-359 +no_defs +4647 projected ETRS89 / UTM zone 32N (zE-N) 6,47.27,12.01,55.47 1 6258 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9996 +x_0=32500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4652 projected New Beijing / 3-degree Gauss-Kruger zone 25 73.62,35.81,76.5,40.65 1045 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25500000 +y_0=0 +ellps=krass +units=m +no_defs +4653 projected New Beijing / 3-degree Gauss-Kruger zone 26 76.5,31.03,79.5,41.83 1045 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26500000 +y_0=0 +ellps=krass +units=m +no_defs +4654 projected New Beijing / 3-degree Gauss-Kruger zone 27 79.5,29.95,82.51,45.88 1045 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27500000 +y_0=0 +ellps=krass +units=m +no_defs +4655 projected New Beijing / 3-degree Gauss-Kruger zone 28 82.5,28.26,85.5,47.23 1045 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28500000 +y_0=0 +ellps=krass +units=m +no_defs +4656 projected New Beijing / 3-degree Gauss-Kruger zone 29 85.5,27.8,88.5,49.18 1045 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29500000 +y_0=0 +ellps=krass +units=m +no_defs +4657 geographic Reykjavik 1900 -24.66,63.34,-13.38,66.59 10 6657 +proj=longlat +a=6377019.27 +rf=300 +towgs84=-28,199,5 +no_defs +4658 geographic Hjorsey 1955 -24.66,63.34,-13.38,66.59 7 6658 +proj=longlat +ellps=intl +towgs84=-73,47,-83 +no_defs +4659 geographic ISN93 -30.87,59.96,-5.55,69.59 1 6659 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4660 geographic Helle 1954 -9.17,70.75,-7.87,71.24 1 6660 +proj=longlat +ellps=intl +towgs84=982.6087,552.753,-540.873,6.68162662527694,-31.6114924086422,-19.8481610048168,16.805 +no_defs +4661 geographic LKS-92 19.06,55.67,28.24,58.09 1 6661 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4662 geographic IGN72 Grande Terre 163.92,-22.45,167.09,-20.03 2 6634 +proj=longlat +ellps=intl +towgs84=-11.64,-348.6,291.98 +no_defs +4663 geographic Porto Santo 1995 -17.31,32.35,-16.23,33.15 1 6663 +proj=longlat +ellps=intl +towgs84=-210.502,-66.902,-48.476,2.094,-15.067,-5.817,0.485 +no_defs +4664 geographic Azores Oriental 1995 -25.92,36.87,-24.72,37.96 1 6664 +proj=longlat +ellps=intl +towgs84=-208.719,129.685,52.092,-0.195,-0.014,0.327,0.198 +no_defs +4665 geographic Azores Central 1995 -28.9,38.32,-26.97,39.14 1 6665 +proj=longlat +ellps=intl +towgs84=-103.088,162.481,-28.276,0.167,0.082,0.168,-1.504 +no_defs +4666 geographic Lisbon 1890 -9.56,36.95,-6.19,42.16 1 6666 +proj=longlat +ellps=bessel +towgs84=631.392,-66.551,481.442,1.09,-4.445,-4.487,-4.43 +no_defs +4667 geographic IKBD-92 46.36,29.06,48.61,30.32 1 6667 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4668 geographic ED79 -10.56,34.88,38.01,84.73 6 6668 +proj=longlat +ellps=intl +towgs84=-86,-98,-119 +no_defs +4669 geographic LKS94 19.02,53.89,26.82,56.45 1 6126 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4670 geographic IGM95 5.93,34.76,18.99,47.1 1 6670 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4671 geographic Voirol 1879 -2.95,31.99,9.09,37.14 6671 +proj=longlat +ellps=clrk80ign +no_defs +4672 geographic Chatham Islands 1971 -177.25,-44.64,-175.54,-43.3 26 6672 +proj=longlat +ellps=intl +towgs84=175,-38,113 +no_defs +4673 geographic Chatham Islands 1979 -177.25,-44.64,-175.54,-43.3 2 6673 +proj=longlat +ellps=intl +towgs84=174.05,-25.49,112.57,0,0,0.554,0.2263 +no_defs +4674 geographic SIRGAS 2000 -122.19,-59.87,-25.28,32.72 1 6674 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4675 geographic Guam 1963 144.58,13.18,146.12,20.61 6 6675 +proj=longlat +ellps=clrk66 +towgs84=-100,-248,259 +no_defs +4676 geographic Vientiane 1982 100.09,13.92,107.64,22.5 6 6676 +proj=longlat +ellps=krass +towgs84=42.358,-124.688,-37.366 +no_defs +4677 geographic Lao 1993 100.09,13.92,107.64,22.5 6 6677 +proj=longlat +ellps=krass +towgs84=43.933,-129.593,-39.331 +no_defs +4678 geographic Lao 1997 100.09,13.92,107.64,22.5 5 6678 +proj=longlat +ellps=krass +towgs84=44.585,-131.212,-39.544 +no_defs +4679 geographic Jouik 1961 -17.08,19.37,-15.88,21.34 1 6679 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-80.01,253.26,291.19 +no_defs +4680 geographic Nouakchott 1965 -16.57,16.81,-15.59,19.41 5 6680 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=124.5,-63.5,-281 +no_defs +4682 geographic Gulshan 303 88.01,18.56,92.67,26.64 1 6682 +proj=longlat +ellps=evrst30 +towgs84=283.729,735.942,261.143 +no_defs +4683 geographic PRS92 116.04,3,129.95,22.18 0.05 6683 +proj=longlat +ellps=clrk66 +towgs84=-127.62,-67.24,-47.04,-3.068,4.903,1.578,-1.06 +no_defs +4684 geographic Gan 1970 72.81,-0.69,73.69,7.08 44 6684 +proj=longlat +ellps=intl +towgs84=-133,-321,50 +no_defs +4686 geographic MAGNA-SIRGAS -84.77,-4.23,-66.87,15.51 1 6686 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4687 geographic RGPF -158.13,-31.24,-131.97,-4.52 0.5 6687 +proj=longlat +ellps=GRS80 +towgs84=0.072,-0.507,-0.245,0.0183,-0.0003,0.007,-0.0093 +no_defs +4688 geographic Fatu Iva 72 -138.75,-10.6,-138.54,-10.36 2 6688 +proj=longlat +ellps=intl +towgs84=347.175,1077.618,2623.677,33.9058,-70.6776,9.4013,186.0647 +no_defs +4689 geographic IGN63 Hiva Oa -139.23,-10.08,-138.75,-9.64 2 6689 +proj=longlat +ellps=intl +towgs84=410.793,54.542,80.501,-2.5596,-2.3517,-0.6594,17.3218 +no_defs +4690 geographic Tahiti 79 -149.7,-17.93,-149.09,-17.44 1 6690 +proj=longlat +ellps=intl +towgs84=221.597,152.441,176.523,2.403,1.3893,0.884,11.4648 +no_defs +4691 geographic Moorea 87 -150,-17.63,-149.73,-17.41 1 6691 +proj=longlat +ellps=intl +towgs84=218.769,150.75,176.75,3.5231,2.0037,1.288,10.9817 +no_defs +4692 geographic Maupiti 83 -152.39,-16.57,-152.14,-16.34 1 6692 +proj=longlat +ellps=intl +towgs84=217.109,86.452,23.711,0.0183,-0.0003,0.007,-0.0093 +no_defs +4693 geographic Nakhl-e Ghanem 51.8,27.3,53.01,28.2 0.2 6693 +proj=longlat +ellps=WGS84 +towgs84=0,-0.15,0.68 +no_defs +4694 geographic POSGAR 94 -73.59,-58.41,-52.63,-21.78 1 6694 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4695 geographic Katanga 1955 21.74,-13.46,30.78,-4.99 1.5 6695 +proj=longlat +ellps=clrk66 +towgs84=-103.746,-9.614,-255.95 +no_defs +4696 geographic Kasai 1953 21.5,-7.31,26.26,-5.01 6696 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4697 geographic IGC 1962 6th Parallel South 12.17,-7.36,29.64,-3.29 6697 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4698 geographic IGN 1962 Kerguelen 68.69,-49.78,70.62,-48.6 10 6698 +proj=longlat +ellps=intl +towgs84=145,-187,103 +no_defs +4699 geographic Le Pouce 1934 57.25,-20.57,57.85,-19.94 2 6699 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-770.1,158.4,-498.2 +no_defs +4700 geographic IGN Astro 1960 -17.08,14.72,-4.8,27.3 6700 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4701 geographic IGCB 1955 12.17,-6.04,16.28,-4.28 5 6701 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-79.9,-158,-168.9 +no_defs +4702 geographic Mauritania 1999 -20.04,14.72,-4.8,27.3 1 6702 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4703 geographic Mhast 1951 10.53,-6.04,13.1,-4.38 6703 +proj=longlat +a=6378249.145 +rf=293.465 +no_defs +4704 geographic Mhast (onshore) 10.53,-6.04,13.1,-4.38 6704 +proj=longlat +ellps=intl +no_defs +4705 geographic Mhast (offshore) 10.53,-6.04,12.37,-5.05 6705 +proj=longlat +ellps=intl +no_defs +4706 geographic Egypt Gulf of Suez S-650 TL 32.34,27.19,34.27,30.01 5 6706 +proj=longlat +ellps=helmert +towgs84=-146.21,112.63,4.05 +no_defs +4707 geographic Tern Island 1961 -166.36,23.69,-166.03,23.93 44 6707 +proj=longlat +ellps=intl +towgs84=114,-116,-333 +no_defs +4708 geographic Cocos Islands 1965 96.76,-12.27,96.99,-11.76 44 6708 +proj=longlat +ellps=aust_SA +towgs84=-491,-22,435 +no_defs +4709 geographic Iwo Jima 1945 141.2,24.67,141.42,24.89 44 6709 +proj=longlat +ellps=intl +towgs84=145,75,-272 +no_defs +4710 geographic Astro DOS 71 -5.85,-16.08,-5.59,-15.85 1 6710 +proj=longlat +ellps=intl +towgs84=-323.65,551.39,-491.22 +no_defs +4711 geographic Marcus Island 1952 153.91,24.22,154.05,24.35 44 6711 +proj=longlat +ellps=intl +towgs84=124,-234,-25 +no_defs +4712 geographic Ascension Island 1958 -14.46,-8.03,-14.24,-7.83 44 6712 +proj=longlat +ellps=intl +towgs84=-205,107,53 +no_defs +4713 geographic Ayabelle Lighthouse 41.75,10.94,44.15,12.72 17 6713 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-77,-128,142 +no_defs +4714 geographic Bellevue 168.09,-20.31,169.95,-17.37 35 6714 +proj=longlat +ellps=intl +towgs84=-127,-769,472 +no_defs +4715 geographic Camp Area Astro 165.73,-77.94,167.43,-77.17 6715 +proj=longlat +ellps=intl +towgs84=-104,-129,239 +no_defs +4716 geographic Phoenix Islands 1966 -174.6,-4.76,-170.66,-2.68 26 6716 +proj=longlat +ellps=intl +towgs84=298,-304,-375 +no_defs +4717 geographic Cape Canaveral -82.33,20.86,-72.68,30.83 6 6717 +proj=longlat +ellps=clrk66 +towgs84=-2,151,181 +no_defs +4718 geographic Solomon 1968 155.62,-10.9,162.44,-6.55 44 6718 +proj=longlat +ellps=intl +towgs84=230,-199,-752 +no_defs +4719 geographic Easter Island 1967 -109.51,-27.25,-109.16,-27.01 44 6719 +proj=longlat +ellps=intl +towgs84=211,147,111 +no_defs +4720 geographic Fiji 1986 176.81,-20.81,-178.15,-12.42 2 6720 +proj=longlat +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.2263 +no_defs +4721 geographic Fiji 1956 176.81,-19.22,-179.77,-16.1 7 6721 +proj=longlat +ellps=intl +towgs84=265.025,384.929,-194.046 +no_defs +4722 geographic South Georgia 1968 -38.08,-54.95,-35.74,-53.93 44 6722 +proj=longlat +ellps=intl +towgs84=-794,119,-298 +no_defs +4723 geographic GCGD59 -81.46,19.21,-81.04,19.41 1 6723 +proj=longlat +ellps=clrk66 +towgs84=-179.483,-69.379,-27.584,-7.862,8.163,6.042,-13.925 +no_defs +4724 geographic Diego Garcia 1969 72.3,-7.49,72.55,-7.18 44 6724 +proj=longlat +ellps=intl +towgs84=208,-435,-229 +no_defs +4725 geographic Johnston Island 1961 -169.59,16.67,-169.47,16.79 44 6725 +proj=longlat +ellps=intl +towgs84=189,-79,-202 +no_defs +4726 geographic SIGD61 -80.14,19.63,-79.69,19.78 1 6726 +proj=longlat +ellps=clrk66 +towgs84=8.853,-52.644,180.304,-0.393,-2.323,2.96,-24.081 +no_defs +4727 geographic Midway 1961 -177.45,28.13,-177.31,28.28 44 6727 +proj=longlat +ellps=intl +towgs84=403,-81,277 +no_defs +4728 geographic PN84 -18.22,27.58,-16.08,28.9 44 6728 +proj=longlat +ellps=intl +towgs84=-307,-92,127 +no_defs +4729 geographic Pitcairn 1967 -130.16,-25.14,-130.01,-25 44 6729 +proj=longlat +ellps=intl +towgs84=185,165,42 +no_defs +4730 geographic Santo 1965 166.47,-17.32,168.71,-14.57 44 6730 +proj=longlat +ellps=intl +towgs84=170,42,84 +no_defs +4732 geographic Marshall Islands 1960 162.27,8.66,167.82,19.38 6 6732 +proj=longlat +ellps=hough +towgs84=102,52,-38 +no_defs +4733 geographic Wake Island 1952 166.55,19.22,166.72,19.38 44 6733 +proj=longlat +ellps=intl +towgs84=276,-57,149 +no_defs +4734 geographic Tristan 1968 -12.76,-40.42,-9.8,-37 44 6734 +proj=longlat +ellps=intl +towgs84=-632,438,-609 +no_defs +4735 geographic Kusaie 1951 162.85,5.21,163.1,5.43 44 6735 +proj=longlat +ellps=intl +towgs84=647,1777,-1124 +no_defs +4736 geographic Deception Island -60.89,-63.08,-60.35,-62.82 35 6736 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=260,12,-147 +no_defs +4737 geographic KGD2002 122.71,28.6,134.28,40.27 1 6737 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4738 geographic Hong Kong 1963 113.76,22.13,114.51,22.58 6738 +proj=longlat +a=6378293.64520876 +b=6356617.98767984 +no_defs +4739 geographic Hong Kong 1963(67) 113.76,22.13,114.51,22.58 1 6739 +proj=longlat +ellps=intl +towgs84=-156,-271,-189 +no_defs +4740 geographic PZ-90 -180,-90,180,90 1.5 6740 +proj=longlat +a=6378136 +rf=298.257839303 +towgs84=0,0,1.5,0,0,0.076,0 +no_defs +4741 geographic FD54 -7.49,61.33,-6.33,62.41 10 6741 +proj=longlat +ellps=intl +towgs84=-240.33,-267.41,-34.61 +no_defs +4742 geographic GDM2000 98.02,0.85,119.61,7.81 1 6742 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4743 geographic Karbala 1979 38.79,29.06,48.61,37.39 1 6743 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=70.995,-335.916,262.898 +no_defs +4744 geographic Nahrwan 1934 38.79,29.06,51.06,37.39 30 6744 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-242.2,-144.9,370.3 +no_defs +4745 geographic RD/83 11.89,50.2,15.04,51.66 6745 +proj=longlat +ellps=bessel +no_defs +4746 geographic PD/83 9.87,50.2,12.66,51.65 6746 +proj=longlat +ellps=bessel +no_defs +4747 geographic GR96 -75,56.38,7.99,87.02 1 1421 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4748 geographic Vanua Levu 1915 178.42,-17.07,-179.77,-16.1 50 6748 +proj=longlat +a=6378306.3696 +b=6356571.996 +towgs84=51,391,-36 +no_defs +4749 geographic RGNC91-93 156.25,-26.45,174.28,-14.83 1 6749 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4750 geographic ST87 Ouvea 166.44,-20.77,166.71,-20.34 1 6750 +proj=longlat +ellps=WGS84 +towgs84=-56.263,16.136,-22.856 +no_defs +4751 geographic Kertau (RSO) 99.59,1.13,104.6,6.72 15 6751 +proj=longlat +ellps=evrst69 +towgs84=-11,851,5 +no_defs +4752 geographic Viti Levu 1912 177.19,-18.32,178.75,-17.25 5 6752 +proj=longlat +a=6378306.3696 +b=6356571.996 +towgs84=98,390,-22 +no_defs +4753 geographic fk89 -7.49,61.33,-6.33,62.41 6753 +proj=longlat +ellps=intl +no_defs +4754 geographic LGD2006 9.31,19.5,26.21,35.23 0.1 6754 +proj=longlat +ellps=intl +towgs84=-208.4058,-109.8777,-2.5764 +no_defs +4755 geographic DGN95 92.01,-13.95,141.46,7.79 1 6755 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4756 geographic VN-2000 102.14,8.33,109.53,23.4 1 6756 +proj=longlat +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +no_defs +4757 geographic SVY21 103.59,1.13,104.07,1.47 1 6757 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4758 geographic JAD2001 -80.6,14.08,-74.51,19.36 0 6758 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4759 geographic NAD83(NSRS2007) 167.65,14.92,-63.88,74.71 2 6759 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4760 geographic WGS 66 -180,-90,180,90 6760 +proj=longlat +ellps=NWL9D +no_defs +4761 geographic HTRS96 13,41.62,19.43,46.54 1 6761 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4762 geographic BDA2000 -68.83,28.91,-60.7,35.73 1 6762 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4763 geographic Pitcairn 2006 -130.16,-25.14,-130.01,-25 1 6763 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +4764 geographic RSRGD2000 144.99,-90,-144.99,-59.99 1 6764 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4765 geographic Slovenia 1996 13.38,45.42,16.61,46.88 1 6765 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +4766 projected New Beijing / 3-degree Gauss-Kruger zone 30 88.49,27.32,91.51,48.42 1045 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30500000 +y_0=0 +ellps=krass +units=m +no_defs +4767 projected New Beijing / 3-degree Gauss-Kruger zone 31 91.5,27.71,94.5,45.13 1045 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31500000 +y_0=0 +ellps=krass +units=m +no_defs +4768 projected New Beijing / 3-degree Gauss-Kruger zone 32 94.5,28.23,97.51,44.5 1045 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32500000 +y_0=0 +ellps=krass +units=m +no_defs +4769 projected New Beijing / 3-degree Gauss-Kruger zone 33 97.5,21.43,100.5,42.76 1045 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33500000 +y_0=0 +ellps=krass +units=m +no_defs +4770 projected New Beijing / 3-degree Gauss-Kruger zone 34 100.5,21.13,103.5,42.69 1045 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34500000 +y_0=0 +ellps=krass +units=m +no_defs +4771 projected New Beijing / 3-degree Gauss-Kruger zone 35 103.5,22.5,106.51,42.21 1045 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35500000 +y_0=0 +ellps=krass +units=m +no_defs +4772 projected New Beijing / 3-degree Gauss-Kruger zone 36 106.5,18.19,109.51,42.47 1045 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36500000 +y_0=0 +ellps=krass +units=m +no_defs +4773 projected New Beijing / 3-degree Gauss-Kruger zone 37 109.5,18.11,112.5,45.11 1045 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37500000 +y_0=0 +ellps=krass +units=m +no_defs +4774 projected New Beijing / 3-degree Gauss-Kruger zone 38 112.5,21.52,115.5,45.45 1045 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38500000 +y_0=0 +ellps=krass +units=m +no_defs +4775 projected New Beijing / 3-degree Gauss-Kruger zone 39 115.5,22.6,118.5,49.88 1045 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39500000 +y_0=0 +ellps=krass +units=m +no_defs +4776 projected New Beijing / 3-degree Gauss-Kruger zone 40 118.5,24.43,121.5,53.33 1045 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40500000 +y_0=0 +ellps=krass +units=m +no_defs +4777 projected New Beijing / 3-degree Gauss-Kruger zone 41 121.5,28.22,124.5,53.56 1045 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41500000 +y_0=0 +ellps=krass +units=m +no_defs +4778 projected New Beijing / 3-degree Gauss-Kruger zone 42 124.5,40.19,127.5,53.2 1045 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42500000 +y_0=0 +ellps=krass +units=m +no_defs +4779 projected New Beijing / 3-degree Gauss-Kruger zone 43 127.5,41.37,130.5,50.25 1045 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43500000 +y_0=0 +ellps=krass +units=m +no_defs +4780 projected New Beijing / 3-degree Gauss-Kruger zone 44 130.5,42.42,133.5,48.88 1045 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44500000 +y_0=0 +ellps=krass +units=m +no_defs +4781 projected New Beijing / 3-degree Gauss-Kruger zone 45 133.5,45.85,134.77,48.4 1045 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45500000 +y_0=0 +ellps=krass +units=m +no_defs +4782 projected New Beijing / 3-degree Gauss-Kruger CM 75E 73.62,35.81,76.5,40.65 1045 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4783 projected New Beijing / 3-degree Gauss-Kruger CM 78E 76.5,31.03,79.5,41.83 1045 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4784 projected New Beijing / 3-degree Gauss-Kruger CM 81E 79.5,29.95,82.51,45.88 1045 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4785 projected New Beijing / 3-degree Gauss-Kruger CM 84E 82.5,28.26,85.5,47.23 1045 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4786 projected New Beijing / 3-degree Gauss-Kruger CM 87E 85.5,27.8,88.5,49.18 1045 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4787 projected New Beijing / 3-degree Gauss-Kruger CM 90E 88.49,27.32,91.51,48.42 1045 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4788 projected New Beijing / 3-degree Gauss-Kruger CM 93E 91.5,27.71,94.5,45.13 1045 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4789 projected New Beijing / 3-degree Gauss-Kruger CM 96E 94.5,28.23,97.51,44.5 1045 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4790 projected New Beijing / 3-degree Gauss-Kruger CM 99E 97.5,21.43,100.5,42.76 1045 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4791 projected New Beijing / 3-degree Gauss-Kruger CM 102E 100.5,21.13,103.5,42.69 1045 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4792 projected New Beijing / 3-degree Gauss-Kruger CM 105E 103.5,22.5,106.51,42.21 1045 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4793 projected New Beijing / 3-degree Gauss-Kruger CM 108E 106.5,18.19,109.51,42.47 1045 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4794 projected New Beijing / 3-degree Gauss-Kruger CM 111E 109.5,18.11,112.5,45.11 1045 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4795 projected New Beijing / 3-degree Gauss-Kruger CM 114E 112.5,21.52,115.5,45.45 1045 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4796 projected New Beijing / 3-degree Gauss-Kruger CM 117E 115.5,22.6,118.5,49.88 1045 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4797 projected New Beijing / 3-degree Gauss-Kruger CM 120E 118.5,24.43,121.5,53.33 1045 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4798 projected New Beijing / 3-degree Gauss-Kruger CM 123E 121.5,28.22,124.5,53.56 1045 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4799 projected New Beijing / 3-degree Gauss-Kruger CM 126E 124.5,40.19,127.5,53.2 1045 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4800 projected New Beijing / 3-degree Gauss-Kruger CM 129E 127.5,41.37,130.5,50.25 1045 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4801 geographic CH1903 (Bern) 5.95,45.81,10.5,47.81 6801 +proj=longlat +ellps=bessel +pm=7.43958333333333 +no_defs +4802 geographic Bogota 1975 (Bogota) -79.1,-4.23,-66.87,12.52 6802 +proj=longlat +ellps=intl +pm=-74.0809166666667 +no_defs +4803 geographic Lisbon (Lisbon) -9.56,36.95,-6.19,42.16 6803 +proj=longlat +ellps=intl +pm=-9.13190611111111 +no_defs +4804 geographic Makassar (Jakarta) 118.71,-6.54,120.78,-1.88 6804 +proj=longlat +ellps=bessel +pm=106.807719444444 +no_defs +4805 geographic MGI (Ferro) 9.53,40.85,23.04,49.02 6805 +proj=longlat +ellps=bessel +pm=-17.6666666666667 +no_defs +4806 geographic Monte Mario (Rome) 5.93,34.76,18.99,47.1 6806 +proj=longlat +ellps=intl +pm=12.4523333333333 +no_defs +4807 geographic NTF (Paris) -4.87,41.31,9.63,51.14 6807 +proj=longlat +ellps=clrk80ign +pm=2.33722917 +no_defs +4809 geographic BD50 (Brussels) 2.5,49.5,6.4,51.51 6809 +proj=longlat +ellps=intl +pm=4.367975 +no_defs +4810 geographic Tananarive (Paris) 43.18,-25.64,50.56,-11.89 6810 +proj=longlat +ellps=intl +pm=2.33722917 +no_defs +4811 geographic Voirol 1875 (Paris) -2.95,31.99,9.09,37.14 6811 +proj=longlat +ellps=clrk80ign +pm=2.33722917 +no_defs +4812 projected New Beijing / 3-degree Gauss-Kruger CM 132E 130.5,42.42,133.5,48.88 1045 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4813 geographic Batavia (Jakarta) 95.16,-8.91,115.77,5.97 6813 +proj=longlat +ellps=bessel +pm=106.807719444444 +no_defs +4814 geographic RT38 (Stockholm) 10.93,55.28,24.17,69.07 6814 +proj=longlat +ellps=bessel +pm=18.0582777777778 +no_defs +4815 geographic Greek (Athens) 19.57,34.88,28.3,41.75 6815 +proj=longlat +ellps=bessel +pm=23.7163375 +no_defs +4816 geographic Carthage (Paris) 7.49,30.23,11.59,37.4 6816 +proj=longlat +ellps=clrk80ign +pm=2.33722917 +no_defs +4817 geographic NGO 1948 (Oslo) 4.39,57.9,31.32,71.24 6817 +proj=longlat +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +no_defs +4818 geographic S-JTSK (Ferro) 12.09,47.73,22.56,51.06 6818 +proj=longlat +ellps=bessel +pm=-17.6666666666667 +no_defs +4820 geographic Segara (Jakarta) 114.55,-4.24,119.06,4.29 6820 +proj=longlat +ellps=bessel +pm=106.807719444444 +no_defs +4821 geographic Voirol 1879 (Paris) -2.95,31.99,9.09,37.14 6821 +proj=longlat +ellps=clrk80ign +pm=2.33722917 +no_defs +4822 projected New Beijing / 3-degree Gauss-Kruger CM 135E 133.5,45.85,134.77,48.4 1045 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +4823 geographic Sao Tome 6.41,-0.04,6.82,0.46 1044 +proj=longlat +ellps=intl +no_defs +4824 geographic Principe 7.27,1.48,7.52,1.76 1046 +proj=longlat +ellps=intl +no_defs +4826 projected WGS 84 / Cape Verde National -28.85,11.47,-19.53,20.54 6326 +proj=lcc +lat_0=15.8333333333333 +lon_0=-24 +lat_1=15 +lat_2=16.6666666666667 +x_0=161587.83 +y_0=128511.202 +datum=WGS84 +units=m +no_defs +4839 projected ETRS89 / LCC Germany (N-E) 5.86,47.27,15.04,55.09 1 6258 +proj=lcc +lat_0=51 +lon_0=10.5 +lat_1=48.6666666666667 +lat_2=53.6666666666667 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +4901 geographic ATF (Paris) -4.87,42.33,8.23,51.14 6901 +proj=longlat +a=6376523 +rf=308.64 +pm=2.33720833333333 +no_defs +4903 geographic Madrid 1870 (Madrid) -9.37,35.95,3.39,43.82 6903 +proj=longlat +a=6378298.3 +rf=294.73 +pm=-3.687375 +no_defs +4904 geographic Lisbon 1890 (Lisbon) -9.56,36.95,-6.19,42.16 6904 +proj=longlat +ellps=bessel +pm=-9.13190611111111 +no_defs +5013 geographic PTRA08 -35.58,29.24,-12.48,43.07 1 1041 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5014 projected PTRA08 / UTM zone 25N -35.58,35.25,-30,43.07 1 1041 +proj=utm +zone=25 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5015 projected PTRA08 / UTM zone 26N -30,33.52,-24,42.96 1 1041 +proj=utm +zone=26 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5016 projected PTRA08 / UTM zone 28N -18,29.24,-12.48,36.46 1 1041 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5018 projected Lisbon / Portuguese Grid New -9.56,36.95,-6.19,42.16 2 6207 +proj=tmerc +lat_0=39.6666666666667 +lon_0=-8.13190611111111 +k=1 +x_0=0 +y_0=0 +ellps=intl +towgs84=-288.885,-91.744,126.244,-1.691,0.41,-0.211,-4.598 +units=m +no_defs +5041 projected WGS 84 / UPS North (E,N) -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=0 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +5042 projected WGS 84 / UPS South (E,N) -180,-90,180,-60 6326 +proj=stere +lat_0=-90 +lon_0=0 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +5048 projected EUREF-FIN / TM35FIN(N,E) 19.08,58.84,31.59,70.09 1 1391 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5069 projected NAD27 / Conus Albers -124.79,24.41,-66.91,49.38 10 6267 +proj=aea +lat_0=23 +lon_0=-96 +lat_1=29.5 +lat_2=45.5 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +units=m +no_defs +5070 projected NAD83 / Conus Albers -124.79,24.41,-66.91,49.38 4 6269 +proj=aea +lat_0=23 +lon_0=-96 +lat_1=29.5 +lat_2=45.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5071 projected NAD83(HARN) / Conus Albers -124.79,24.41,-66.91,49.38 1 6152 +proj=aea +lat_0=23 +lon_0=-96 +lat_1=29.5 +lat_2=45.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +5072 projected NAD83(NSRS2007) / Conus Albers -124.79,24.41,-66.91,49.38 2 6759 +proj=aea +lat_0=23 +lon_0=-96 +lat_1=29.5 +lat_2=45.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5105 projected ETRS89-NOR [EUREF89] / NTM zone 5 4.39,58.32,6.01,62.64 1 1407 +proj=tmerc +lat_0=58 +lon_0=5.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5106 projected ETRS89-NOR [EUREF89] / NTM zone 6 6,57.93,7.01,63.03 1 1407 +proj=tmerc +lat_0=58 +lon_0=6.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5107 projected ETRS89-NOR [EUREF89] / NTM zone 7 6.99,57.9,8.01,63.59 1 1407 +proj=tmerc +lat_0=58 +lon_0=7.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5108 projected ETRS89-NOR [EUREF89] / NTM zone 8 8,58,9.01,64.1 1 1407 +proj=tmerc +lat_0=58 +lon_0=8.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5109 projected ETRS89-NOR [EUREF89] / NTM zone 9 9,58.44,10.01,64.25 1 1407 +proj=tmerc +lat_0=58 +lon_0=9.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5110 projected ETRS89-NOR [EUREF89] / NTM zone 10 10,58.9,11.01,65.27 1 1407 +proj=tmerc +lat_0=58 +lon_0=10.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5111 projected ETRS89-NOR [EUREF89] / NTM zone 11 11,58.88,12.01,67.58 1 1407 +proj=tmerc +lat_0=58 +lon_0=11.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5112 projected ETRS89-NOR [EUREF89] / NTM zone 12 12,59.88,13.01,68.16 1 1407 +proj=tmerc +lat_0=58 +lon_0=12.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5113 projected ETRS89-NOR [EUREF89] / NTM zone 13 13,64.01,14.01,68.4 1 1407 +proj=tmerc +lat_0=58 +lon_0=13.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5114 projected ETRS89-NOR [EUREF89] / NTM zone 14 14,64.03,15.01,69.07 1 1407 +proj=tmerc +lat_0=58 +lon_0=14.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5115 projected ETRS89-NOR [EUREF89] / NTM zone 15 15,66.14,16.01,69.38 1 1407 +proj=tmerc +lat_0=58 +lon_0=15.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5116 projected ETRS89-NOR [EUREF89] / NTM zone 16 15.99,66.88,17.01,69.49 1 1407 +proj=tmerc +lat_0=58 +lon_0=16.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5117 projected ETRS89-NOR [EUREF89] / NTM zone 17 17,67.94,18.01,69.96 1 1407 +proj=tmerc +lat_0=58 +lon_0=17.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5118 projected ETRS89-NOR [EUREF89] / NTM zone 18 18,68.04,19.01,70.29 1 1407 +proj=tmerc +lat_0=58 +lon_0=18.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5119 projected ETRS89-NOR [EUREF89] / NTM zone 19 19,68.33,20.01,70.35 1 1407 +proj=tmerc +lat_0=58 +lon_0=19.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5120 projected ETRS89-NOR [EUREF89] / NTM zone 20 20,68.37,21.01,70.37 1 1407 +proj=tmerc +lat_0=58 +lon_0=20.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5121 projected ETRS89-NOR [EUREF89] / NTM zone 21 21,69.03,22.01,70.73 1 1407 +proj=tmerc +lat_0=58 +lon_0=21.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5122 projected ETRS89-NOR [EUREF89] / NTM zone 22 22,68.69,23.01,70.93 1 1407 +proj=tmerc +lat_0=58 +lon_0=22.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5123 projected ETRS89-NOR [EUREF89] / NTM zone 23 23,68.62,24.01,71.15 1 1407 +proj=tmerc +lat_0=58 +lon_0=23.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5124 projected ETRS89-NOR [EUREF89] / NTM zone 24 24,68.58,25.01,71.17 1 1407 +proj=tmerc +lat_0=58 +lon_0=24.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5125 projected ETRS89-NOR [EUREF89] / NTM zone 25 25,68.59,26.01,71.24 1 1407 +proj=tmerc +lat_0=58 +lon_0=25.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5126 projected ETRS89-NOR [EUREF89] / NTM zone 26 26,69.71,27.01,71.2 1 1407 +proj=tmerc +lat_0=58 +lon_0=26.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5127 projected ETRS89-NOR [EUREF89] / NTM zone 27 27,69.9,28.01,71.19 1 1407 +proj=tmerc +lat_0=58 +lon_0=27.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5128 projected ETRS89-NOR [EUREF89] / NTM zone 28 28,69.03,29.01,71.15 1 1407 +proj=tmerc +lat_0=58 +lon_0=28.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5129 projected ETRS89-NOR [EUREF89] / NTM zone 29 29,69.02,30.01,70.94 1 1407 +proj=tmerc +lat_0=58 +lon_0=29.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5130 projected ETRS89-NOR [EUREF89] / NTM zone 30 30,69.46,31.32,70.77 1 1407 +proj=tmerc +lat_0=58 +lon_0=30.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5132 geographic Tokyo 1892 122.83,20.37,154.05,45.54 1048 +proj=longlat +ellps=bessel +no_defs +5167 projected Korean 1985 / East Sea Belt 130.71,37.39,131.01,37.62 6162 +proj=tmerc +lat_0=38 +lon_0=131 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5168 projected Korean 1985 / Central Belt Jeju 126.09,33.14,127.01,33.61 6162 +proj=tmerc +lat_0=38 +lon_0=127 +k=1 +x_0=200000 +y_0=550000 +ellps=bessel +units=m +no_defs +5169 projected Tokyo 1892 / Korea West Belt 124.27,33.99,126,40.9 1048 +proj=tmerc +lat_0=38 +lon_0=125 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5170 projected Tokyo 1892 / Korea Central Belt 126,33.14,128,41.8 1048 +proj=tmerc +lat_0=38 +lon_0=127 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5171 projected Tokyo 1892 / Korea East Belt 128,34.49,130,43.01 1048 +proj=tmerc +lat_0=38 +lon_0=129 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5172 projected Tokyo 1892 / Korea East Sea Belt 130,37.39,131.01,42.98 1048 +proj=tmerc +lat_0=38 +lon_0=131 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5173 projected Korean 1985 / Modified West Belt 124.53,33.99,126,38.04 6162 +proj=tmerc +lat_0=38 +lon_0=125.002890277778 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5174 projected Korean 1985 / Modified Central Belt 126,33.96,128,38.33 6162 +proj=tmerc +lat_0=38 +lon_0=127.002890277778 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5175 projected Korean 1985 / Modified Central Belt Jeju 126.09,33.14,127.01,33.61 6162 +proj=tmerc +lat_0=38 +lon_0=127.002890277778 +k=1 +x_0=200000 +y_0=550000 +ellps=bessel +units=m +no_defs +5176 projected Korean 1985 / Modified East Belt 128,34.49,129.65,38.64 6162 +proj=tmerc +lat_0=38 +lon_0=129.002890277778 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5177 projected Korean 1985 / Modified East Sea Belt 130.71,37.39,131.01,37.62 6162 +proj=tmerc +lat_0=38 +lon_0=131.002890277778 +k=1 +x_0=200000 +y_0=500000 +ellps=bessel +units=m +no_defs +5178 projected Korean 1985 / Unified CS 124.53,33.14,131.01,38.64 6162 +proj=tmerc +lat_0=38 +lon_0=127.5 +k=0.9996 +x_0=1000000 +y_0=2000000 +ellps=bessel +units=m +no_defs +5179 projected KGD2002 / Unified CS 122.71,28.6,134.28,40.27 1 6737 +proj=tmerc +lat_0=38 +lon_0=127.5 +k=0.9996 +x_0=1000000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5180 projected KGD2002 / West Belt 124.53,33.99,126,38.04 1 6737 +proj=tmerc +lat_0=38 +lon_0=125 +k=1 +x_0=200000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5181 projected KGD2002 / Central Belt 126,33.96,128,38.33 1 6737 +proj=tmerc +lat_0=38 +lon_0=127 +k=1 +x_0=200000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5182 projected KGD2002 / Central Belt Jeju 126.09,33.14,127.01,33.61 1 6737 +proj=tmerc +lat_0=38 +lon_0=127 +k=1 +x_0=200000 +y_0=550000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5183 projected KGD2002 / East Belt 128,34.49,129.65,38.64 1 6737 +proj=tmerc +lat_0=38 +lon_0=129 +k=1 +x_0=200000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5184 projected KGD2002 / East Sea Belt 130.71,37.39,131.01,37.62 1 6737 +proj=tmerc +lat_0=38 +lon_0=131 +k=1 +x_0=200000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5185 projected KGD2002 / West Belt 2010 124.53,33.99,126,38.04 1 6737 +proj=tmerc +lat_0=38 +lon_0=125 +k=1 +x_0=200000 +y_0=600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5186 projected KGD2002 / Central Belt 2010 126,33.14,128,38.33 1 6737 +proj=tmerc +lat_0=38 +lon_0=127 +k=1 +x_0=200000 +y_0=600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5187 projected KGD2002 / East Belt 2010 128,34.49,129.65,38.64 1 6737 +proj=tmerc +lat_0=38 +lon_0=129 +k=1 +x_0=200000 +y_0=600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5188 projected KGD2002 / East Sea Belt 2010 130.71,37.39,131.01,37.62 1 6737 +proj=tmerc +lat_0=38 +lon_0=131 +k=1 +x_0=200000 +y_0=600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5221 projected S-JTSK (Ferro) / Krovak East North 12.09,47.73,22.56,51.06 6818 +proj=krovak +lat_0=49.5 +lon_0=42.5 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +5223 projected WGS 84 / Gabon TM 8.65,-3.98,14.52,2.32 6326 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9996 +x_0=500000 +y_0=500000 +datum=WGS84 +units=m +no_defs +5224 projected S-JTSK/05 (Ferro) / Modified Krovak 12.09,48.58,18.86,51.06 1055 +proj=mod_krovak +axis=swu +lat_0=49.5 +lon_0=42.5 +alpha=30.2881397222222 +k=0.9999 +x_0=5000000 +y_0=5000000 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +5225 projected S-JTSK/05 (Ferro) / Modified Krovak East North 12.09,48.58,18.86,51.06 1055 +proj=mod_krovak +lat_0=49.5 +lon_0=42.5 +alpha=30.2881397222222 +k=0.9999 +x_0=5000000 +y_0=5000000 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +5228 geographic S-JTSK/05 12.09,48.58,18.86,51.06 1 1052 +proj=longlat +ellps=bessel +towgs84=572.213,85.334,461.94,4.9732,1.529,5.2484,3.5378 +no_defs +5229 geographic S-JTSK/05 (Ferro) 12.09,48.58,18.86,51.06 1055 +proj=longlat +ellps=bessel +pm=-17.6666666666667 +no_defs +5233 geographic SLD99 79.64,5.86,81.95,9.88 14 1053 +proj=longlat +ellps=evrst30 +towgs84=-0.293,766.95,87.713,0.195704,1.695068,3.473016,-0.039338 +no_defs +5234 projected Kandawala / Sri Lanka Grid 79.64,5.86,81.95,9.88 35 6244 +proj=tmerc +lat_0=7.00048027777778 +lon_0=80.7717111111111 +k=0.9999238418 +x_0=200000 +y_0=200000 +ellps=evrst30 +towgs84=-97,787,86 +units=m +no_defs +5235 projected SLD99 / Sri Lanka Grid 1999 79.64,5.86,81.95,9.88 14 1053 +proj=tmerc +lat_0=7.00047152777778 +lon_0=80.7717130833333 +k=0.9999238418 +x_0=500000 +y_0=500000 +ellps=evrst30 +towgs84=-0.293,766.95,87.713,0.195704,1.695068,3.473016,-0.039338 +units=m +no_defs +5243 projected ETRS89 / LCC Germany (E-N) 5.86,47.27,15.04,55.09 1 6258 +proj=lcc +lat_0=51 +lon_0=10.5 +lat_1=48.6666666666667 +lat_2=53.6666666666667 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5246 geographic GDBD2009 112.37,4.01,115.37,6.31 1 1056 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5247 projected GDBD2009 / Brunei BRSO 112.37,4.01,115.37,6.31 1 1056 +proj=omerc +no_uoff +lat_0=4 +lonc=115 +alpha=53.31580995 +gamma=53.1301023611111 +k=0.99984 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5252 geographic TUREF 25.62,34.42,44.83,43.45 1 1057 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5253 projected TUREF / TM27 25.62,36.5,28.5,42.11 1 1057 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5254 projected TUREF / TM30 28.5,36.06,31.5,41.46 1 1057 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5255 projected TUREF / TM33 31.5,35.97,34.5,42.07 1 1057 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5256 projected TUREF / TM36 34.5,35.81,37.5,42.15 1 1057 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5257 projected TUREF / TM39 37.5,36.66,40.5,41.19 1 1057 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5258 projected TUREF / TM42 40.5,37.02,43.5,41.6 1 1057 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5259 projected TUREF / TM45 43.5,36.97,44.83,41.02 1 1057 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5264 geographic DRUKREF 03 88.74,26.7,92.13,28.33 1 1058 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5266 projected DRUKREF 03 / Bhutan National Grid 88.74,26.7,92.13,28.33 1 1058 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5269 projected TUREF / 3-degree Gauss-Kruger zone 9 25.62,36.5,28.5,42.11 1 1057 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5270 projected TUREF / 3-degree Gauss-Kruger zone 10 28.5,36.06,31.5,41.46 1 1057 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5271 projected TUREF / 3-degree Gauss-Kruger zone 11 31.5,35.97,34.5,42.07 1 1057 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=11500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5272 projected TUREF / 3-degree Gauss-Kruger zone 12 34.5,35.81,37.5,42.15 1 1057 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=12500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5273 projected TUREF / 3-degree Gauss-Kruger zone 13 37.5,36.66,40.5,41.19 1 1057 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=13500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5274 projected TUREF / 3-degree Gauss-Kruger zone 14 40.5,37.02,43.5,41.6 1 1057 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=14500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5275 projected TUREF / 3-degree Gauss-Kruger zone 15 43.5,36.97,44.83,41.02 1 1057 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=15500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5292 projected DRUKREF 03 / Bumthang TM 90.46,27.33,91.02,28.09 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.7333333333333 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5293 projected DRUKREF 03 / Chhukha TM 89.26,26.71,89.83,27.32 1 1058 +proj=tmerc +lat_0=0 +lon_0=89.55 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5294 projected DRUKREF 03 / Dagana TM 89.63,26.7,90.08,27.29 1 1058 +proj=tmerc +lat_0=0 +lon_0=89.85 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5295 projected DRUKREF 03 / Gasa TM 89.44,27.72,90.47,28.33 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.0333333333333 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5296 projected DRUKREF 03 / Ha TM 88.9,27.02,89.39,27.62 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.15 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5297 projected DRUKREF 03 / Lhuentse TM 90.77,27.39,91.49,28.09 1 1058 +proj=tmerc +lat_0=0 +lon_0=91.1333333333333 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5298 projected DRUKREF 03 / Mongar TM 90.95,26.93,91.5,27.61 1 1058 +proj=tmerc +lat_0=0 +lon_0=91.2333333333333 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5299 projected DRUKREF 03 / Paro TM 89.12,27.18,89.56,27.79 1 1058 +proj=tmerc +lat_0=0 +lon_0=89.35 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5300 projected DRUKREF 03 / Pemagatshel TM 91,26.78,91.56,27.18 1 1058 +proj=tmerc +lat_0=0 +lon_0=91.35 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5301 projected DRUKREF 03 / Punakha TM 89.63,27.46,90.08,27.87 1 1058 +proj=tmerc +lat_0=0 +lon_0=89.85 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5302 projected DRUKREF 03 / Samdrup Jongkhar TM 91.39,26.79,92.13,27.25 1 1058 +proj=tmerc +lat_0=0 +lon_0=91.5666666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5303 projected DRUKREF 03 / Samtse TM 88.74,26.8,89.38,27.28 1 1058 +proj=tmerc +lat_0=0 +lon_0=89.0666666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5304 projected DRUKREF 03 / Sarpang TM 90.01,26.73,90.78,27.23 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.2666666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5305 projected DRUKREF 03 / Thimphu TM 89.22,27.14,89.77,28.01 1 1058 +proj=tmerc +lat_0=0 +lon_0=89.55 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5306 projected DRUKREF 03 / Trashigang TM 91.37,27.01,92.13,27.49 1 1058 +proj=tmerc +lat_0=0 +lon_0=91.75 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5307 projected DRUKREF 03 / Trongsa TM 90.26,27.13,90.76,27.79 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.5 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5308 projected DRUKREF 03 / Tsirang TM 90,26.81,90.35,27.2 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.1666666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5309 projected DRUKREF 03 / Wangdue Phodrang TM 89.71,27.11,90.54,28.08 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.1166666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5310 projected DRUKREF 03 / Yangtse TM 91.34,27.37,91.77,28 1 1058 +proj=tmerc +lat_0=0 +lon_0=91.5666666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5311 projected DRUKREF 03 / Zhemgang TM 90.53,26.77,91.19,27.39 1 1058 +proj=tmerc +lat_0=0 +lon_0=90.8666666666667 +k=1 +x_0=250000 +y_0=-2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5316 projected ETRS89 / Faroe TM -13.91,59.94,-0.48,65.7 1 6258 +proj=tmerc +lat_0=0 +lon_0=-7 +k=0.999997 +x_0=200000 +y_0=-6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5320 projected NAD83 / Teranet Ontario Lambert -95.16,41.67,-74.35,56.9 4 6269 +proj=lcc +lat_0=0 +lon_0=-84 +lat_1=44.5 +lat_2=54.5 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5321 projected NAD83(CSRS) / Teranet Ontario Lambert -95.16,41.67,-74.35,56.9 1 6140 +proj=lcc +lat_0=0 +lon_0=-84 +lat_1=44.5 +lat_2=54.5 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +5324 geographic ISN2004 -30.87,59.96,-5.55,69.59 1 1060 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5325 projected ISN2004 / Lambert 2004 -30.87,59.96,-5.55,69.59 1 1060 +proj=lcc +lat_0=65 +lon_0=-19 +lat_1=64.25 +lat_2=65.75 +x_0=1700000 +y_0=300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5329 projected Segara (Jakarta) / NEIEZ 114.55,-4.24,119.06,4.29 6820 +proj=merc +lon_0=3.19228055555556 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +pm=106.807719444444 +units=m +no_defs +5330 projected Batavia (Jakarta) / NEIEZ 95.16,-8.91,115.77,5.97 6813 +proj=merc +lon_0=3.19228055555556 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +pm=106.807719444444 +units=m +no_defs +5331 projected Makassar (Jakarta) / NEIEZ 118.71,-6.54,120.78,-1.88 6804 +proj=merc +lon_0=3.19228055555556 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +pm=106.807719444444 +units=m +no_defs +5337 projected Aratu / UTM zone 25S -36,-20.11,-30,0 1 6208 +proj=utm +zone=25 +south +ellps=intl +towgs84=-151.99,287.04,-147.45 +units=m +no_defs +5340 geographic POSGAR 2007 -73.59,-58.41,-52.63,-21.78 0.5 1062 +proj=longlat +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +no_defs +5343 projected POSGAR 2007 / Argentina 1 -73.59,-52,-70.5,-36.16 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-72 +k=1 +x_0=1500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5344 projected POSGAR 2007 / Argentina 2 -70.5,-54.9,-67.49,-24.08 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5345 projected POSGAR 2007 / Argentina 3 -67.5,-55.11,-64.49,-21.78 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-66 +k=1 +x_0=3500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5346 projected POSGAR 2007 / Argentina 4 -64.5,-54.91,-61.5,-21.99 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-63 +k=1 +x_0=4500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5347 projected POSGAR 2007 / Argentina 5 -61.51,-39.06,-58.5,-23.37 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5348 projected POSGAR 2007 / Argentina 6 -58.5,-38.59,-55.49,-24.84 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-57 +k=1 +x_0=6500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5349 projected POSGAR 2007 / Argentina 7 -55.5,-28.11,-53.65,-25.49 0.5 1062 +proj=tmerc +lat_0=-90 +lon_0=-54 +k=1 +x_0=7500000 +y_0=0 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +5354 geographic MARGEN -69.66,-22.91,-57.52,-9.67 1 1063 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5355 projected MARGEN / UTM zone 20S -66,-22.87,-60,-9.67 1 1063 +proj=utm +zone=20 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5356 projected MARGEN / UTM zone 19S -69.66,-22.91,-66,-9.77 1 1063 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5357 projected MARGEN / UTM zone 21S -60,-20.17,-57.52,-16.27 1 1063 +proj=utm +zone=21 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5360 geographic SIRGAS-Chile 2002 -113.21,-59.87,-65.72,-17.5 9 1064 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5361 projected SIRGAS-Chile 2002 / UTM zone 19S -72,-59.87,-66,-17.5 9 1064 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5362 projected SIRGAS-Chile 2002 / UTM zone 18S -78,-59.36,-71.99,-18.35 12 1064 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5365 geographic CR05 -90.45,2.15,-81.43,11.77 1 1065 +proj=longlat +ellps=WGS84 +towgs84=-0.16959,0.35312,0.51846,0.03385,-0.16325,0.03446,0.03693 +no_defs +5367 projected CR05 / CRTM05 -86.5,2.21,-81.43,11.77 1 1065 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-0.16959,0.35312,0.51846,0.03385,-0.16325,0.03446,0.03693 +units=m +no_defs +5371 geographic MACARIO SOLIS -84.32,5,-77.04,12.51 1 1066 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5373 geographic Peru96 -84.68,-21.05,-68.67,-0.03 1 1067 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5381 geographic SIRGAS-ROU98 -58.49,-37.77,-50.01,-30.09 1 1068 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +5382 projected SIRGAS-ROU98 / UTM zone 21S -58.49,-36.63,-54,-30.09 1 1068 +proj=utm +zone=21 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +5383 projected SIRGAS-ROU98 / UTM zone 22S -54,-37.77,-50.01,-31.9 1 1068 +proj=utm +zone=22 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +5387 projected Peru96 / UTM zone 18S -78,-21.05,-72,-0.03 1 1067 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5389 projected Peru96 / UTM zone 19S -72,-20.44,-68.67,-2.14 1 1067 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5393 geographic SIRGAS_ES2007.8 -91.43,9.97,-87.65,14.44 1 1069 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5396 projected SIRGAS 2000 / UTM zone 26S -30,-23.86,-25.28,4.26 1 6674 +proj=utm +zone=26 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5451 geographic Ocotepeque 1935 -92.29,7.98,-82.53,17.83 14 1070 +proj=longlat +ellps=clrk66 +towgs84=205,96,-98 +no_defs +5456 projected Ocotepeque 1935 / Costa Rica Norte -85.97,9.53,-82.53,11.22 8 1070 +proj=lcc +lat_1=10.4666666666667 +lat_0=10.4666666666667 +lon_0=-84.3333333333333 +k_0=0.99995696 +x_0=500000 +y_0=271820.522 +ellps=clrk66 +towgs84=213.11,9.37,-74.95 +units=m +no_defs +5457 projected Ocotepeque 1935 / Costa Rica Sur -85.74,7.98,-82.53,9.94 8 1070 +proj=lcc +lat_1=9 +lat_0=9 +lon_0=-83.6666666666667 +k_0=0.99995696 +x_0=500000 +y_0=327987.436 +ellps=clrk66 +towgs84=213.11,9.37,-74.95 +units=m +no_defs +5459 projected Ocotepeque 1935 / Guatemala Sur -92.29,13.69,-88.19,15.86 14 1070 +proj=lcc +lat_1=14.9 +lat_0=14.9 +lon_0=-90.3333333333333 +k_0=0.99989906 +x_0=500000 +y_0=325992.681 +ellps=clrk66 +towgs84=205,96,-98 +units=m +no_defs +5460 projected Ocotepeque 1935 / El Salvador Lambert -90.11,13.1,-87.69,14.44 14 1070 +proj=lcc +lat_1=13.7833333333333 +lat_0=13.7833333333333 +lon_0=-89 +k_0=0.99996704 +x_0=500000 +y_0=295809.184 +ellps=clrk66 +towgs84=205,96,-98 +units=m +no_defs +5461 projected Ocotepeque 1935 / Nicaragua Norte -87.74,12.8,-83.08,15.03 14 1070 +proj=lcc +lat_1=13.8666666666667 +lat_0=13.8666666666667 +lon_0=-85.5 +k_0=0.99990314 +x_0=500000 +y_0=359891.816 +ellps=clrk66 +towgs84=205,96,-98 +units=m +no_defs +5462 projected Ocotepeque 1935 / Nicaragua Sur -87.63,10.7,-83.42,12.8 14 1070 +proj=lcc +lat_1=11.7333333333333 +lat_0=11.7333333333333 +lon_0=-85.5 +k_0=0.99992228 +x_0=500000 +y_0=288876.327 +ellps=clrk66 +towgs84=205,96,-98 +units=m +no_defs +5463 projected SAD69 / UTM zone 17N -80.18,0,-78,2.7 19 6618 +proj=utm +zone=17 +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +5464 geographic Sibun Gorge 1922 -89.22,15.88,-87.72,18.49 1071 +proj=longlat +a=6378293.64520876 +b=6356617.98767984 +no_defs +5467 geographic Panama-Colon 1911 -83.04,7.15,-77.19,9.68 1072 +proj=longlat +ellps=clrk66 +no_defs +5469 projected Panama-Colon 1911 / Panama Lambert -83.04,7.15,-77.19,9.68 1072 +proj=lcc +lat_1=8.41666666666667 +lat_0=8.41666666666667 +lon_0=-80 +k_0=0.99989909 +x_0=500000 +y_0=294865.303 +ellps=clrk66 +units=m +no_defs +5472 projected Panama-Colon 1911 / Panama Polyconic -83.04,7.15,-77.19,9.68 1072 +proj=poly +lat_0=8.25 +lon_0=-81 +x_0=914391.7962 +y_0=999404.721715486 +ellps=clrk66 +to_meter=0.9143917962 +no_defs +5479 projected RSRGD2000 / MSLC2000 153,-81,173,-76 1 6764 +proj=lcc +lat_0=-78 +lon_0=163 +lat_1=-76.6666666666667 +lat_2=-79.3333333333333 +x_0=7000000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5480 projected RSRGD2000 / BCLC2000 157,-76,173,-73 1 6764 +proj=lcc +lat_0=-74.5 +lon_0=165 +lat_1=-73.6666666666667 +lat_2=-75.3333333333333 +x_0=5000000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5481 projected RSRGD2000 / PCLC2000 160,-73,172,-69.5 1 6764 +proj=lcc +lat_0=-71.5 +lon_0=166 +lat_1=-70.6666666666667 +lat_2=-72.3333333333333 +x_0=3000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5482 projected RSRGD2000 / RSPS2000 150,-90,-150,-76 1 6764 +proj=stere +lat_0=-90 +lon_0=180 +k=0.994 +x_0=5000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5489 geographic RGAF09 -63.66,14.08,-57.52,18.54 1 1073 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5490 projected RGAF09 / UTM zone 20N -63.66,14.08,-60,18.32 1 1073 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5513 projected S-JTSK / Krovak 12.09,47.73,22.56,51.06 6 6156 +proj=krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=589,76,480 +units=m +no_defs +5514 projected S-JTSK / Krovak East North 12.09,47.73,22.56,51.06 6 6156 +proj=krovak +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=589,76,480 +units=m +no_defs +5515 projected S-JTSK/05 / Modified Krovak 12.09,48.58,18.86,51.06 1 1052 +proj=mod_krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397222222 +k=0.9999 +x_0=5000000 +y_0=5000000 +ellps=bessel +towgs84=572.213,85.334,461.94,4.9732,1.529,5.2484,3.5378 +units=m +no_defs +5516 projected S-JTSK/05 / Modified Krovak East North 12.09,48.58,18.86,51.06 1 1052 +proj=mod_krovak +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397222222 +k=0.9999 +x_0=5000000 +y_0=5000000 +ellps=bessel +towgs84=572.213,85.334,461.94,4.9732,1.529,5.2484,3.5378 +units=m +no_defs +5518 projected CI1971 / Chatham Islands Map Grid -177.25,-44.64,-175.54,-43.3 26 6672 +proj=tmerc +lat_0=-44 +lon_0=-176.5 +k=1 +x_0=350000 +y_0=650000 +ellps=intl +towgs84=175,-38,113 +units=m +no_defs +5519 projected CI1979 / Chatham Islands Map Grid -177.25,-44.64,-175.54,-43.3 2 6673 +proj=tmerc +lat_0=-44 +lon_0=-176.5 +k=1 +x_0=350000 +y_0=650000 +ellps=intl +towgs84=174.05,-25.49,112.57,0,0,0.554,0.2263 +units=m +no_defs +5520 projected DHDN / 3-degree Gauss-Kruger zone 1 3.34,55.24,4.51,55.92 6314 +proj=tmerc +lat_0=0 +lon_0=3 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +5523 projected WGS 84 / Gabon TM 2011 7.03,-6.37,14.52,2.32 6326 +proj=tmerc +lat_0=0 +lon_0=11.5 +k=0.9996 +x_0=1500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +5524 geographic Corrego Alegre 1961 -58.16,-27.5,-38.82,-14.99 1074 +proj=longlat +ellps=intl +no_defs +5527 geographic SAD69(96) -74.01,-35.71,-25.28,7.04 5 1075 +proj=longlat +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +no_defs +5530 projected SAD69(96) / Brazil Polyconic -74.01,-35.71,-25.28,7.04 5 1075 +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5531 projected SAD69(96) / UTM zone 21S -60,-31.91,-53.99,4.51 5 1075 +proj=utm +zone=21 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5533 projected SAD69(96) / UTM zone 23S -48,-33.5,-42,5.13 5 1075 +proj=utm +zone=23 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5534 projected SAD69(96) / UTM zone 24S -42,-26.35,-36,0.74 5 1075 +proj=utm +zone=24 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5535 projected SAD69(96) / UTM zone 25S -36,-23.8,-29.99,4.19 5 1075 +proj=utm +zone=25 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5536 projected Corrego Alegre 1961 / UTM zone 21S -58.16,-27.5,-54,-17.99 1074 +proj=utm +zone=21 +south +ellps=intl +units=m +no_defs +5537 projected Corrego Alegre 1961 / UTM zone 22S -54,-27.5,-47.99,-14.99 1074 +proj=utm +zone=22 +south +ellps=intl +units=m +no_defs +5538 projected Corrego Alegre 1961 / UTM zone 23S -48,-25.29,-42,-15 1074 +proj=utm +zone=23 +south +ellps=intl +units=m +no_defs +5539 projected Corrego Alegre 1961 / UTM zone 24S -42,-22.96,-38.82,-14.99 1074 +proj=utm +zone=24 +south +ellps=intl +units=m +no_defs +5546 geographic PNG94 139.2,-14.75,162.81,2.58 2 1076 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5550 projected PNG94 / PNGMG94 zone 54 139.2,-11.15,144,2.31 2 1076 +proj=utm +zone=54 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5551 projected PNG94 / PNGMG94 zone 55 144,-13.88,150.01,2.58 2 1076 +proj=utm +zone=55 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5552 projected PNG94 / PNGMG94 zone 56 150,-14.75,156,1.98 2 1076 +proj=utm +zone=56 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5559 projected Ocotepeque 1935 / Guatemala Norte -91.86,15.85,-88.34,17.83 14 1070 +proj=lcc +lat_1=16.8166666666667 +lat_0=16.8166666666667 +lon_0=-90.3333333333333 +k_0=0.99992226 +x_0=500000 +y_0=292209.579 +ellps=clrk66 +towgs84=205,96,-98 +units=m +no_defs +5561 geographic UCS-2000 22.15,43.18,40.18,52.38 1 1077 +proj=longlat +ellps=krass +towgs84=24,-121,-76 +no_defs +5562 projected UCS-2000 / Gauss-Kruger zone 4 22.15,47.95,24,51.66 1 1077 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5563 projected UCS-2000 / Gauss-Kruger zone 5 24,45.1,30,51.96 1 1077 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5564 projected UCS-2000 / Gauss-Kruger zone 6 30,43.18,36,52.38 1 1077 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=6500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5565 projected UCS-2000 / Gauss-Kruger zone 7 36,43.43,40.18,50.44 1 1077 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5566 projected UCS-2000 / Gauss-Kruger CM 21E 22.15,47.95,24,51.66 1 1077 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5567 projected UCS-2000 / Gauss-Kruger CM 27E 24,45.1,30,51.96 1 1077 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5568 projected UCS-2000 / Gauss-Kruger CM 33E 30,43.18,36,52.38 1 1077 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5569 projected UCS-2000 / Gauss-Kruger CM 39E 36,43.43,40.18,50.44 1 1077 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +5588 projected NAD27 / New Brunswick Stereographic (NAD27) -69.05,44.56,-63.7,48.07 9 6267 +proj=sterea +lat_0=46.5 +lon_0=-66.5 +k=0.999912 +x_0=304800 +y_0=304800 +ellps=clrk66 +towgs84=-22,160,190 +to_meter=0.3048 +no_defs +5589 projected Sibun Gorge 1922 / Colony Grid -89.22,15.88,-87.72,18.49 1071 +proj=tmerc +lat_0=17.0612419444444 +lon_0=-88.6318575 +k=1 +x_0=66220.0283308276 +y_0=135779.50998853 +a=6378293.64520876 +b=6356617.98767984 +to_meter=0.3047972654 +no_defs +5593 geographic FEH2010 10.66,54.33,12.01,54.83 1 1078 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5596 projected FEH2010 / Fehmarnbelt TM 10.66,54.33,12.01,54.83 1 1078 +proj=tmerc +lat_0=0 +lon_0=11.3333333333333 +k=1 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5623 projected NAD27 / Michigan East -84.87,41.69,-82.13,46.04 10 6267 +proj=tmerc +lat_0=41.5 +lon_0=-83.6666666666667 +k=0.999942857 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +5624 projected NAD27 / Michigan Old Central -87.61,41.75,-84.6,46.11 10 6267 +proj=tmerc +lat_0=41.5 +lon_0=-85.75 +k=0.999909091 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +5625 projected NAD27 / Michigan West -90.42,45.09,-83.44,48.32 10 6267 +proj=tmerc +lat_0=41.5 +lon_0=-88.75 +k=0.999909091 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +5627 projected ED50 / TM 6 NE 3.04,41.15,10.38,43.74 2 6230 +proj=tmerc +lat_0=0 +lon_0=6 +k=0.9996 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-84,-97,-117 +units=m +no_defs +5629 projected Moznet / UTM zone 38S 35.99,-18.98,40.9,-10.42 1 6130 +proj=utm +zone=38 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +5631 projected Pulkovo 1942(58) / Gauss-Kruger zone 2 (E-N) 9.92,50.2,12,54.23 6179 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=2500000 +y_0=0 +ellps=krass +units=m +no_defs +5632 projected PTRA08 / LCC Europe -35.58,29.24,-12.48,43.07 1 1041 +proj=lcc +lat_0=52 +lon_0=10 +lat_1=35 +lat_2=65 +x_0=4000000 +y_0=2800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5633 projected PTRA08 / LAEA Europe -35.58,29.24,-12.48,43.07 1 1041 +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5634 projected REGCAN95 / LCC Europe -21.93,24.6,-11.75,32.76 1 1035 +proj=lcc +lat_0=52 +lon_0=10 +lat_1=35 +lat_2=65 +x_0=4000000 +y_0=2800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5635 projected REGCAN95 / LAEA Europe -21.93,24.6,-11.75,32.76 1 1035 +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5636 projected TUREF / LAEA Europe 25.62,34.42,44.83,43.45 1 1057 +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5637 projected TUREF / LCC Europe 25.62,34.42,44.83,43.45 1 1057 +proj=lcc +lat_0=52 +lon_0=10 +lat_1=35 +lat_2=65 +x_0=4000000 +y_0=2800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5638 projected ISN2004 / LAEA Europe -30.87,59.96,-5.55,69.59 1 1060 +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5639 projected ISN2004 / LCC Europe -30.87,59.96,-5.55,69.59 1 1060 +proj=lcc +lat_0=52 +lon_0=10 +lat_1=35 +lat_2=65 +x_0=4000000 +y_0=2800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5641 projected SIRGAS 2000 / Brazil Mercator -51.64,-5.74,-32.43,7.04 1 6674 +proj=merc +lat_ts=-2 +lon_0=-43 +x_0=5000000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5643 projected ED50 / SPBA LCC -1.67,50.5,22,56 10 6230 +proj=lcc +lat_0=48 +lon_0=10 +lat_1=52.6666666666667 +lat_2=54.3333333333333 +x_0=815000 +y_0=0 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +5644 projected RGR92 / UTM zone 39S 51.83,-24.37,54,-18.52 1 6627 +proj=utm +zone=39 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5646 projected NAD83 / Vermont (ftUS) -73.44,42.72,-71.5,45.03 4 6269 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +5649 projected ETRS89 / UTM zone 31N (zE-N) 3.34,50.97,6.01,55.92 1 6258 +proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5650 projected ETRS89 / UTM zone 33N (zE-N) 11.57,47.46,15.04,55.03 1 6258 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9996 +x_0=33500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5651 projected ETRS89 / UTM zone 31N (N-zE) 3.34,50.97,6.01,55.92 1 6258 +proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5652 projected ETRS89 / UTM zone 32N (N-zE) 6,47.27,12.01,55.47 1 6258 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9996 +x_0=32500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5653 projected ETRS89 / UTM zone 33N (N-zE) 11.57,47.46,15.04,55.03 1 6258 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9996 +x_0=33500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5654 projected NAD83(HARN) / Vermont (ftUS) -73.44,42.72,-71.5,45.03 1 6152 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +5655 projected NAD83(NSRS2007) / Vermont (ftUS) -73.44,42.72,-71.5,45.03 2 6759 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +5659 projected Monte Mario / TM Emilia-Romagna 9.19,43.73,12.76,45.14 4 6265 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9996 +x_0=500053 +y_0=-3999820 +ellps=intl +towgs84=-104.1,-49.1,-9.9,0.971,-2.917,0.714,-11.68 +units=m +no_defs +5663 projected Pulkovo 1942(58) / Gauss-Kruger zone 3 (E-N) 12,45.78,18,54.89 1 6179 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +5664 projected Pulkovo 1942(83) / Gauss-Kruger zone 2 (E-N) 9.92,50.2,12,54.23 2 6178 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=2500000 +y_0=0 +ellps=krass +towgs84=24,-123,-94,0.02,-0.25,-0.13,1.1 +units=m +no_defs +5665 projected Pulkovo 1942(83) / Gauss-Kruger zone 3 (E-N) 12,45.78,18.01,54.74 5 6178 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +towgs84=26,-121,-78 +units=m +no_defs +5666 projected PD/83 / 3-degree Gauss-Kruger zone 3 (E-N) 9.92,50.35,10.5,51.56 6746 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +units=m +no_defs +5667 projected PD/83 / 3-degree Gauss-Kruger zone 4 (E-N) 10.5,50.2,12.56,51.64 6746 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +no_defs +5668 projected RD/83 / 3-degree Gauss-Kruger zone 4 (E-N) 11.89,50.2,13.51,51.66 6745 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +no_defs +5669 projected RD/83 / 3-degree Gauss-Kruger zone 5 (E-N) 13.5,50.62,15.04,51.58 6745 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=bessel +units=m +no_defs +5670 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 3 (E-N) 9.92,50.35,10.5,51.56 6179 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +units=m +no_defs +5671 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 4 (E-N) 10.5,48.97,13.5,54.74 6179 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +units=m +no_defs +5672 projected Pulkovo 1942(58) / 3-degree Gauss-Kruger zone 5 (E-N) 13.5,46.54,16.5,54.72 1 6179 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=33.4,-146.6,-76.3,-0.359,-0.053,0.844,-0.84 +units=m +no_defs +5673 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 3 (E-N) 9.92,50.35,10.5,51.56 2 6178 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=krass +towgs84=24,-123,-94,0.02,-0.25,-0.13,1.1 +units=m +no_defs +5674 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 4 (E-N) 10.5,48.97,13.5,54.74 2 6178 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=24,-123,-94,0.02,-0.25,-0.13,1.1 +units=m +no_defs +5675 projected Pulkovo 1942(83) / 3-degree Gauss-Kruger zone 5 (E-N) 13.5,46.54,16.5,54.72 5 6178 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=26,-121,-78 +units=m +no_defs +5676 projected DHDN / 3-degree Gauss-Kruger zone 2 (E-N) 5.86,49.11,7.51,53.81 3 6314 +proj=tmerc +lat_0=0 +lon_0=6 +k=1 +x_0=2500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +5677 projected DHDN / 3-degree Gauss-Kruger zone 3 (E-N) 7.5,47.27,10.51,55.09 3 6314 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +5678 projected DHDN / 3-degree Gauss-Kruger zone 4 (E-N) 10.5,47.39,13.51,54.59 3 6314 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +5679 projected DHDN / 3-degree Gauss-Kruger zone 5 (E-N) 13.5,48.51,13.84,48.98 3 6314 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +5680 projected DHDN / 3-degree Gauss-Kruger zone 1 (E-N) 3.34,55.24,4.51,55.92 6314 +proj=tmerc +lat_0=0 +lon_0=3 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs +5681 geographic DB_REF 5.86,47.27,15.04,55.09 1081 +proj=longlat +ellps=bessel +no_defs +5682 projected DB_REF / 3-degree Gauss-Kruger zone 2 (E-N) 5.86,49.11,7.51,53.81 1081 +proj=tmerc +lat_0=0 +lon_0=6 +k=1 +x_0=2500000 +y_0=0 +ellps=bessel +units=m +no_defs +5683 projected DB_REF / 3-degree Gauss-Kruger zone 3 (E-N) 7.5,47.27,10.51,55.09 1081 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +units=m +no_defs +5684 projected DB_REF / 3-degree Gauss-Kruger zone 4 (E-N) 10.5,47.39,13.51,54.74 1081 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +no_defs +5685 projected DB_REF / 3-degree Gauss-Kruger zone 5 (E-N) 13.5,48.51,15.04,54.72 1081 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=bessel +units=m +no_defs +5700 projected NZGD2000 / UTM zone 1S -180,-52.97,-174,-25.88 1 6167 +proj=utm +zone=1 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5825 projected AGD66 / ACT Standard Grid 148.76,-35.93,149.4,-35.12 3 6202 +proj=tmerc +lat_0=-35.3177362777778 +lon_0=149.009294830556 +k=1.000086 +x_0=200000 +y_0=600000 +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +5836 projected Yemen NGN96 / UTM zone 37N 41.08,14.73,42,16.36 1 6163 +proj=utm +zone=37 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +5837 projected Yemen NGN96 / UTM zone 40N 54,8.95,57.96,14.95 1 6163 +proj=utm +zone=40 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +5839 projected Peru96 / UTM zone 17S -84,-17.33,-78,-3.11 1 1067 +proj=utm +zone=17 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5842 projected WGS 84 / TM 12 SE 10.41,-8.01,12.84,-5.05 6326 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs +5844 projected RGRDC 2005 / Congo TM zone 30 29,-13.46,29.81,-12.15 1 1033 +proj=tmerc +lat_0=0 +lon_0=30 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5858 projected SAD69(96) / UTM zone 22S -54.01,-35.71,-47.99,7.04 5 1075 +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5875 projected SAD69(96) / UTM zone 18S -74.01,-10.01,-71.99,-4.59 5 1075 +proj=utm +zone=18 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5876 projected SAD69(96) / UTM zone 19S -72,-11.14,-65.99,2.15 5 1075 +proj=utm +zone=19 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5877 projected SAD69(96) / UTM zone 20S -66,-16.28,-59.99,5.28 5 1075 +proj=utm +zone=20 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +5879 projected Cadastre 1997 / UTM zone 38S 44.98,-13.05,45.35,-12.61 1 1037 +proj=utm +zone=38 +south +ellps=intl +towgs84=-381.788,-57.501,-256.673 +units=m +no_defs +5880 projected SIRGAS 2000 / Brazil Polyconic -74.01,-35.71,-25.28,7.04 1 6674 +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5886 geographic TGD2005 -179.08,-25.68,-171.28,-14.14 1 1095 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +5887 projected TGD2005 / Tonga Map Grid -179.08,-25.68,-171.28,-14.14 1 1095 +proj=tmerc +lat_0=0 +lon_0=-177 +k=0.9996 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +5896 projected VN-2000 / TM-3 zone 481 102.14,9.2,103.51,22.82 1 6756 +proj=tmerc +lat_0=0 +lon_0=102 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +5897 projected VN-2000 / TM-3 zone 482 103.5,8.33,106.51,23.4 1 6756 +proj=tmerc +lat_0=0 +lon_0=105 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +5898 projected VN-2000 / TM-3 zone 491 106.5,8.57,109.53,22.95 1 6756 +proj=tmerc +lat_0=0 +lon_0=108 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +5899 projected VN-2000 / TM-3 107-45 106.43,8.57,108.76,21.67 1 6756 +proj=tmerc +lat_0=0 +lon_0=107.75 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +5921 projected WGS 84 / EPSG Arctic Regional zone A1 -156,75,-66,87.01 6326 +proj=lcc +lat_0=81.317226 +lon_0=-111 +lat_1=85 +lat_2=77 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5922 projected WGS 84 / EPSG Arctic Regional zone A2 -84,75,6.01,87.01 6326 +proj=lcc +lat_0=81.317226 +lon_0=-39 +lat_1=85 +lat_2=77 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5923 projected WGS 84 / EPSG Arctic Regional zone A3 -12,75,78.01,87.01 6326 +proj=lcc +lat_0=81.317226 +lon_0=33 +lat_1=85 +lat_2=77 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5924 projected WGS 84 / EPSG Arctic Regional zone A4 60,75,150.01,87.01 6326 +proj=lcc +lat_0=81.317226 +lon_0=105 +lat_1=85 +lat_2=77 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5925 projected WGS 84 / EPSG Arctic Regional zone A5 132,75,-138,87.01 6326 +proj=lcc +lat_0=81.317226 +lon_0=177 +lat_1=85 +lat_2=77 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5926 projected WGS 84 / EPSG Arctic Regional zone B1 -156,67,-66,79.01 6326 +proj=lcc +lat_0=73.1557408611111 +lon_0=-111 +lat_1=77 +lat_2=69 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5927 projected WGS 84 / EPSG Arctic Regional zone B2 -84,67,6.01,79.01 6326 +proj=lcc +lat_0=73.1557408611111 +lon_0=-39 +lat_1=77 +lat_2=69 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5928 projected WGS 84 / EPSG Arctic Regional zone B3 -12,67,78.01,79.01 6326 +proj=lcc +lat_0=73.1557408611111 +lon_0=33 +lat_1=77 +lat_2=69 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5929 projected WGS 84 / EPSG Arctic Regional zone B4 60,67,150.01,79.01 6326 +proj=lcc +lat_0=73.1557408611111 +lon_0=105 +lat_1=77 +lat_2=69 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5930 projected WGS 84 / EPSG Arctic Regional zone B5 132,67,-138,79.01 6326 +proj=lcc +lat_0=73.1557408611111 +lon_0=177 +lat_1=77 +lat_2=69 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5931 projected WGS 84 / EPSG Arctic Regional zone C1 -156,59,-66,71 6326 +proj=lcc +lat_0=65.1012708888889 +lon_0=-111 +lat_1=69 +lat_2=61 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5932 projected WGS 84 / EPSG Arctic Regional zone C2 -84,59,6,71 6326 +proj=lcc +lat_0=65.1012708888889 +lon_0=-39 +lat_1=69 +lat_2=61 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5933 projected WGS 84 / EPSG Arctic Regional zone C3 -12,59,78.01,71 6326 +proj=lcc +lat_0=65.1012708888889 +lon_0=33 +lat_1=69 +lat_2=61 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5934 projected WGS 84 / EPSG Arctic Regional zone C4 60,59,150.01,71 6326 +proj=lcc +lat_0=65.1012708888889 +lon_0=105 +lat_1=69 +lat_2=61 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5935 projected WGS 84 / EPSG Arctic Regional zone C5 132,59,-138,71 6326 +proj=lcc +lat_0=65.1012708888889 +lon_0=177 +lat_1=69 +lat_2=61 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +5936 projected WGS 84 / EPSG Alaska Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=-150 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +5937 projected WGS 84 / EPSG Canada Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=-100 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +5938 projected WGS 84 / EPSG Greenland Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=-33 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +5939 projected WGS 84 / EPSG Norway Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=18 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +5940 projected WGS 84 / EPSG Russia Polar Stereographic -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=105 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +6050 projected GR96 / EPSG Arctic zone 1-25 -60,82.83,0,87.84 1 1421 +proj=lcc +lat_0=85.4371183333333 +lon_0=-30 +lat_1=87 +lat_2=83.6666666666667 +x_0=25500000 +y_0=1500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6051 projected GR96 / EPSG Arctic zone 2-18 -72,79.5,-32,84.51 1 1421 +proj=lcc +lat_0=82.0584248888889 +lon_0=-52 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=18500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6052 projected GR96 / EPSG Arctic zone 2-20 -32,79.5,8.01,84.51 1 1421 +proj=lcc +lat_0=82.0584248888889 +lon_0=-12 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=20500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6053 projected GR96 / EPSG Arctic zone 3-29 -75,76.16,-54,81.17 1 1421 +proj=lcc +lat_0=78.7073375277778 +lon_0=-69 +lat_1=80.3333333333333 +lat_2=77 +x_0=29500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6054 projected GR96 / EPSG Arctic zone 3-31 -54,76.16,-24,81.17 1 1421 +proj=lcc +lat_0=78.7073375277778 +lon_0=-39 +lat_1=80.3333333333333 +lat_2=77 +x_0=31500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6055 projected GR96 / EPSG Arctic zone 3-33 -24,76.16,1.89,81.17 1 1421 +proj=lcc +lat_0=78.7073375277778 +lon_0=-10 +lat_1=80.3333333333333 +lat_2=77 +x_0=33500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6056 projected GR96 / EPSG Arctic zone 4-20 -76,72.83,-51,77.84 1 1421 +proj=lcc +lat_0=75.3644033055556 +lon_0=-64 +lat_1=77 +lat_2=73.6666666666667 +x_0=20500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6057 projected GR96 / EPSG Arctic zone 4-22 -51,72.83,-26,77.84 1 1421 +proj=lcc +lat_0=75.3644033055556 +lon_0=-39 +lat_1=77 +lat_2=73.6666666666667 +x_0=22500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6058 projected GR96 / EPSG Arctic zone 4-24 -26,72.83,-2,77.84 1 1421 +proj=lcc +lat_0=75.3644033055556 +lon_0=-14 +lat_1=77 +lat_2=73.6666666666667 +x_0=24500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6059 projected GR96 / EPSG Arctic zone 5-41 -71.89,69.48,-51.99,74.51 1 1421 +proj=lcc +lat_0=72.0250091944445 +lon_0=-62 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=41500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6060 projected GR96 / EPSG Arctic zone 5-43 -52,69.5,-32,74.51 1 1421 +proj=lcc +lat_0=72.0250091944445 +lon_0=-42 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=43500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6061 projected GR96 / EPSG Arctic zone 5-45 -32,69.5,-12,74.51 1 1421 +proj=lcc +lat_0=72.0250091944445 +lon_0=-22 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=45500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6062 projected GR96 / EPSG Arctic zone 6-26 -65,66.16,-47,71.17 1 1421 +proj=lcc +lat_0=68.6874755555556 +lon_0=-56 +lat_1=70.3333333333333 +lat_2=67 +x_0=26500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6063 projected GR96 / EPSG Arctic zone 6-28 -47,66.16,-29,71.17 1 1421 +proj=lcc +lat_0=68.6874755555556 +lon_0=-38 +lat_1=70.3333333333333 +lat_2=67 +x_0=28500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6064 projected GR96 / EPSG Arctic zone 6-30 -29,66.16,-11,71.17 1 1421 +proj=lcc +lat_0=68.6874755555556 +lon_0=-20 +lat_1=70.3333333333333 +lat_2=67 +x_0=30500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6065 projected GR96 / EPSG Arctic zone 7-11 -59,62.83,-42,67.84 1 1421 +proj=lcc +lat_0=65.3510393055555 +lon_0=-51 +lat_1=67 +lat_2=63.6666666666667 +x_0=11500000 +y_0=7500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6066 projected GR96 / EPSG Arctic zone 7-13 -42,62.83,-25,67.84 1 1421 +proj=lcc +lat_0=65.3510393055555 +lon_0=-34 +lat_1=67 +lat_2=63.6666666666667 +x_0=13500000 +y_0=7500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6067 projected GR96 / EPSG Arctic zone 8-20 -59,59.5,-44,64.51 1 1421 +proj=lcc +lat_0=62.0153068888889 +lon_0=-52 +lat_1=63.6666666666667 +lat_2=60.3333333333333 +x_0=20500000 +y_0=8500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6068 projected GR96 / EPSG Arctic zone 8-22 -44,59.5,-29,64.51 1 1421 +proj=lcc +lat_0=62.0153068888889 +lon_0=-37 +lat_1=63.6666666666667 +lat_2=60.3333333333333 +x_0=22500000 +y_0=8500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6069 projected ETRS89 / EPSG Arctic zone 2-22 -4,79.5,36.01,84.51 1 6258 +proj=lcc +lat_0=82.0584248888889 +lon_0=16 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=22500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6070 projected ETRS89 / EPSG Arctic zone 3-11 -3.35,76.16,38.01,81.17 1 6258 +proj=lcc +lat_0=78.7073375277778 +lon_0=21 +lat_1=80.3333333333333 +lat_2=77 +x_0=11500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6071 projected ETRS89 / EPSG Arctic zone 4-26 -2,72.83,22.01,77.84 1 6258 +proj=lcc +lat_0=75.3644033055556 +lon_0=10 +lat_1=77 +lat_2=73.6666666666667 +x_0=26500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6072 projected ETRS89 / EPSG Arctic zone 4-28 22,72.83,46.01,77.84 1 6258 +proj=lcc +lat_0=75.3644033055556 +lon_0=34 +lat_1=77 +lat_2=73.6666666666667 +x_0=28500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6073 projected ETRS89 / EPSG Arctic zone 5-11 4,69.5,24.01,74.51 1 6258 +proj=lcc +lat_0=72.0250091944445 +lon_0=14 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=11500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6074 projected ETRS89 / EPSG Arctic zone 5-13 24,69.5,44.01,74.51 1 6258 +proj=lcc +lat_0=72.0250091944445 +lon_0=34 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=13500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6075 projected WGS 84 / EPSG Arctic zone 2-24 33,79.5,73.01,84.51 6326 +proj=lcc +lat_0=82.0584248888889 +lon_0=53 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=24500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs +6076 projected WGS 84 / EPSG Arctic zone 2-26 73,79.5,113.01,84.51 6326 +proj=lcc +lat_0=82.0584248888889 +lon_0=93 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=26500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs +6077 projected WGS 84 / EPSG Arctic zone 3-13 34.99,76.16,67.01,81.17 6326 +proj=lcc +lat_0=78.7073375277778 +lon_0=52 +lat_1=80.3333333333333 +lat_2=77 +x_0=13500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs +6078 projected WGS 84 / EPSG Arctic zone 3-15 67,76.16,98.01,81.17 6326 +proj=lcc +lat_0=78.7073375277778 +lon_0=83 +lat_1=80.3333333333333 +lat_2=77 +x_0=15500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs +6079 projected WGS 84 / EPSG Arctic zone 3-17 98,76.16,129.01,81.17 6326 +proj=lcc +lat_0=78.7073375277778 +lon_0=114 +lat_1=80.3333333333333 +lat_2=77 +x_0=17500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs +6080 projected WGS 84 / EPSG Arctic zone 3-19 129,76.16,160.01,81.17 6326 +proj=lcc +lat_0=78.7073375277778 +lon_0=145 +lat_1=80.3333333333333 +lat_2=77 +x_0=19500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs +6081 projected WGS 84 / EPSG Arctic zone 4-30 46,72.83,70.01,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=58 +lat_1=77 +lat_2=73.6666666666667 +x_0=30500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6082 projected WGS 84 / EPSG Arctic zone 4-32 70,72.83,94.01,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=82 +lat_1=77 +lat_2=73.6666666666667 +x_0=32500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6083 projected WGS 84 / EPSG Arctic zone 4-34 94,72.83,118.01,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=106 +lat_1=77 +lat_2=73.6666666666667 +x_0=34500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6084 projected WGS 84 / EPSG Arctic zone 4-36 118,72.83,142.01,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=130 +lat_1=77 +lat_2=73.6666666666667 +x_0=36500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6085 projected WGS 84 / EPSG Arctic zone 4-38 142,72.83,166.01,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=154 +lat_1=77 +lat_2=73.6666666666667 +x_0=38500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6086 projected WGS 84 / EPSG Arctic zone 4-40 166,72.83,-168.99,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=179 +lat_1=77 +lat_2=73.6666666666667 +x_0=40500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6087 projected WGS 84 / EPSG Arctic zone 5-15 44,69.5,64.01,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=54 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=15500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6088 projected WGS 84 / EPSG Arctic zone 5-17 64,69.5,85.01,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=74 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=17500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6089 projected WGS 84 / EPSG Arctic zone 5-19 85,69.5,106.01,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=95 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=19500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6090 projected WGS 84 / EPSG Arctic zone 5-21 106,69.5,127.01,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=116 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=21500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6091 projected WGS 84 / EPSG Arctic zone 5-23 127,69.5,148,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=137 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=23500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6092 projected WGS 84 / EPSG Arctic zone 5-25 148,69.5,169.01,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=158 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=25500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6093 projected WGS 84 / EPSG Arctic zone 5-27 169,69.5,-169,74.51 6326 +proj=lcc +lat_0=72.0250091944445 +lon_0=179 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=27500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs +6094 projected NAD83(NSRS2007) / EPSG Arctic zone 5-29 -173,69.5,-153,74.51 2 6759 +proj=lcc +lat_0=72.0250091944445 +lon_0=-163 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=29500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6095 projected NAD83(NSRS2007) / EPSG Arctic zone 5-31 -157,69.5,-137,74.51 2 6759 +proj=lcc +lat_0=72.0250091944445 +lon_0=-147 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=31500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6096 projected NAD83(NSRS2007) / EPSG Arctic zone 6-14 -174,66.16,-156,71.17 2 6759 +proj=lcc +lat_0=68.6874755555556 +lon_0=-165 +lat_1=70.3333333333333 +lat_2=67 +x_0=14500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6097 projected NAD83(NSRS2007) / EPSG Arctic zone 6-16 -156,66.16,-138,71.17 2 6759 +proj=lcc +lat_0=68.6874755555556 +lon_0=-147 +lat_1=70.3333333333333 +lat_2=67 +x_0=16500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6098 projected NAD83(CSRS) / EPSG Arctic zone 1-23 -120,82.83,-60,87.84 1 6140 +proj=lcc +lat_0=85.4371183333333 +lon_0=-90 +lat_1=87 +lat_2=83.6666666666667 +x_0=23500000 +y_0=1500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6099 projected NAD83(CSRS) / EPSG Arctic zone 2-14 -135,79.5,-95,84.51 1 6140 +proj=lcc +lat_0=82.0584248888889 +lon_0=-115 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=14500000 +y_0=2500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6100 projected NAD83(CSRS) / EPSG Arctic zone 2-16 -95,79.5,-55,84.51 1 6140 +proj=lcc +lat_0=82.0584248888889 +lon_0=-75 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=16500000 +y_0=2500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6101 projected NAD83(CSRS) / EPSG Arctic zone 3-25 -144,76.16,-114,81.17 1 6140 +proj=lcc +lat_0=78.7073375277778 +lon_0=-129 +lat_1=80.3333333333333 +lat_2=77 +x_0=25500000 +y_0=3500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6102 projected NAD83(CSRS) / EPSG Arctic zone 3-27 -114,76.16,-84,81.17 1 6140 +proj=lcc +lat_0=78.7073375277778 +lon_0=-99 +lat_1=80.3333333333333 +lat_2=77 +x_0=27500000 +y_0=3500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6103 projected NAD83(CSRS) / EPSG Arctic zone 3-29 -84,76.16,-64.78,81.17 1 6140 +proj=lcc +lat_0=78.7073375277778 +lon_0=-69 +lat_1=80.3333333333333 +lat_2=77 +x_0=29500000 +y_0=3500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6104 projected NAD83(CSRS) / EPSG Arctic zone 4-14 -141,72.83,-116,77.84 1 6140 +proj=lcc +lat_0=75.3644033055556 +lon_0=-129 +lat_1=77 +lat_2=73.6666666666667 +x_0=14500000 +y_0=4500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6105 projected NAD83(CSRS) / EPSG Arctic zone 4-16 -116,72.83,-91,77.84 1 6140 +proj=lcc +lat_0=75.3644033055556 +lon_0=-104 +lat_1=77 +lat_2=73.6666666666667 +x_0=16500000 +y_0=4500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6106 projected NAD83(CSRS) / EPSG Arctic zone 4-18 -91,72.83,-67,77.84 1 6140 +proj=lcc +lat_0=75.3644033055556 +lon_0=-79 +lat_1=77 +lat_2=73.6666666666667 +x_0=18500000 +y_0=4500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6107 projected NAD83(CSRS) / EPSG Arctic zone 5-33 -141,69.5,-121,74.51 1 6140 +proj=lcc +lat_0=72.0250091944445 +lon_0=-131 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=33500000 +y_0=5500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6108 projected NAD83(CSRS) / EPSG Arctic zone 5-35 -121,69.5,-101,74.51 1 6140 +proj=lcc +lat_0=72.0250091944445 +lon_0=-111 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=35500000 +y_0=5500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6109 projected NAD83(CSRS) / EPSG Arctic zone 5-37 -101,69.5,-81,74.51 1 6140 +proj=lcc +lat_0=72.0250091944445 +lon_0=-91 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=37500000 +y_0=5500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6110 projected NAD83(CSRS) / EPSG Arctic zone 5-39 -81,69.5,-61,74.51 1 6140 +proj=lcc +lat_0=72.0250091944445 +lon_0=-71 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=39500000 +y_0=5500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6111 projected NAD83(CSRS) / EPSG Arctic zone 6-18 -141,66.16,-122,71.17 1 6140 +proj=lcc +lat_0=68.6874755555556 +lon_0=-132 +lat_1=70.3333333333333 +lat_2=67 +x_0=18500000 +y_0=6500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6112 projected NAD83(CSRS) / EPSG Arctic zone 6-20 -122,66.16,-103,71.17 1 6140 +proj=lcc +lat_0=68.6874755555556 +lon_0=-113 +lat_1=70.3333333333333 +lat_2=67 +x_0=20500000 +y_0=6500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6113 projected NAD83(CSRS) / EPSG Arctic zone 6-22 -103,66.16,-84,71.17 1 6140 +proj=lcc +lat_0=68.6874755555556 +lon_0=-94 +lat_1=70.3333333333333 +lat_2=67 +x_0=22500000 +y_0=6500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6114 projected NAD83(CSRS) / EPSG Arctic zone 6-24 -84,66.16,-65,71.17 1 6140 +proj=lcc +lat_0=68.6874755555556 +lon_0=-75 +lat_1=70.3333333333333 +lat_2=67 +x_0=24500000 +y_0=6500000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +6115 projected WGS 84 / EPSG Arctic zone 1-27 0,82.83,60.01,87.84 6326 +proj=lcc +lat_0=85.4371183333333 +lon_0=30 +lat_1=87 +lat_2=83.6666666666667 +x_0=27500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs +6116 projected WGS 84 / EPSG Arctic zone 1-29 60,82.83,120.01,87.84 6326 +proj=lcc +lat_0=85.4371183333333 +lon_0=90 +lat_1=87 +lat_2=83.6666666666667 +x_0=29500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs +6117 projected WGS 84 / EPSG Arctic zone 1-31 120,82.83,180,87.83 6326 +proj=lcc +lat_0=85.4371183333333 +lon_0=150 +lat_1=87 +lat_2=83.6666666666667 +x_0=31500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs +6118 projected WGS 84 / EPSG Arctic zone 1-21 -180,82.83,-120,87.84 6326 +proj=lcc +lat_0=85.4371183333333 +lon_0=-150 +lat_1=87 +lat_2=83.6666666666667 +x_0=21500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs +6119 projected WGS 84 / EPSG Arctic zone 2-28 113,79.5,153.01,84.51 6326 +proj=lcc +lat_0=82.0584248888889 +lon_0=133 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=28500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs +6120 projected WGS 84 / EPSG Arctic zone 2-10 146,79.5,-173.99,84.51 6326 +proj=lcc +lat_0=82.0584248888889 +lon_0=166 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=10500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs +6121 projected WGS 84 / EPSG Arctic zone 2-12 -174,79.5,-134.99,84.51 6326 +proj=lcc +lat_0=82.0584248888889 +lon_0=-154 +lat_1=83.6666666666667 +lat_2=80.3333333333333 +x_0=12500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs +6122 projected WGS 84 / EPSG Arctic zone 3-21 160,76.16,-168.99,81.17 6326 +proj=lcc +lat_0=78.7073375277778 +lon_0=176 +lat_1=80.3333333333333 +lat_2=77 +x_0=21500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs +6123 projected WGS 84 / EPSG Arctic zone 3-23 -169,76.16,-138,81.17 6326 +proj=lcc +lat_0=78.7073375277778 +lon_0=-153 +lat_1=80.3333333333333 +lat_2=77 +x_0=23500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs +6124 projected WGS 84 / EPSG Arctic zone 4-12 -169,72.83,-141,77.84 6326 +proj=lcc +lat_0=75.3644033055556 +lon_0=-155 +lat_1=77 +lat_2=73.6666666666667 +x_0=12500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs +6125 projected ETRS89 / EPSG Arctic zone 5-47 -15,69.5,5.01,74.51 1 6258 +proj=lcc +lat_0=72.0250091944445 +lon_0=-5 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=47500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6128 projected Grand Cayman National Grid 1959 -81.46,19.21,-81.04,19.41 1 6723 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9996 +x_0=499999.999998 +y_0=0 +ellps=clrk66 +towgs84=-179.483,-69.379,-27.584,-7.862,8.163,6.042,-13.925 +to_meter=0.3048 +no_defs +6129 projected Sister Islands National Grid 1961 -80.14,19.63,-79.69,19.78 1 6726 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9996 +x_0=499999.999998 +y_0=0 +ellps=clrk66 +towgs84=8.853,-52.644,180.304,-0.393,-2.323,2.96,-24.081 +to_meter=0.3048 +no_defs +6135 geographic CIGD11 -83.6,17.58,-78.72,20.68 1 1100 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +6201 projected NAD27 / Michigan Central -87.06,43.8,-82.27,45.92 10 6267 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3333333333333 +lat_1=44.1833333333333 +lat_2=45.7 +x_0=609601.219202438 +y_0=0 +k_0=1.0000382 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +6202 projected NAD27 / Michigan South -87.2,41.69,-82.13,44.22 10 6267 +proj=lcc +lat_0=41.5 +lon_0=-84.3333333333333 +lat_1=42.1 +lat_2=43.6666666666667 +x_0=609601.219202438 +y_0=0 +k_0=1.0000382 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +6204 projected Macedonia State Coordinate System 20.45,40.85,23.04,42.36 2 1031 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=0 +ellps=bessel +towgs84=521.748,229.489,590.921,4.029,4.488,-15.521,-9.78 +units=m +no_defs +6207 geographic Nepal 1981 80.06,26.34,88.21,30.43 0.3 1111 +proj=longlat +ellps=evrst30 +towgs84=293.17,726.18,245.36 +no_defs +6210 projected SIRGAS 2000 / UTM zone 23N -48,0,-41.99,5.13 1 6674 +proj=utm +zone=23 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6211 projected SIRGAS 2000 / UTM zone 24N -42,0,-38.22,0.74 1 6674 +proj=utm +zone=24 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6307 projected NAD83(CORS96) / Puerto Rico and Virgin Is. -67.97,17.62,-64.51,18.57 1133 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=200000 +y_0=200000 +ellps=GRS80 +units=m +no_defs +6311 geographic CGRS93 32.2,34.59,34.65,35.74 1 1112 +proj=longlat +ellps=WGS84 +towgs84=8.846,-4.394,-1.122,-0.00237,-0.146528,0.130428,0.783926 +no_defs +6312 projected CGRS93 / Cyprus Local Transverse Mercator 32.2,34.59,34.65,35.74 1 1112 +proj=tmerc +lat_0=0 +lon_0=33 +k=0.99995 +x_0=200000 +y_0=-3500000 +ellps=WGS84 +towgs84=8.846,-4.394,-1.122,-0.00237,-0.146528,0.130428,0.783926 +units=m +no_defs +6316 projected MGI 1901 / Balkans zone 7 19.5,41.85,22.51,46.19 5 1031 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=7500000 +y_0=0 +ellps=bessel +towgs84=682,-203,480 +units=m +no_defs +6318 geographic NAD83(2011) 167.65,14.92,-63.88,74.71 2 1116 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +6322 geographic NAD83(PA11) 157.47,-17.56,-151.27,31.8 1117 +proj=longlat +ellps=GRS80 +no_defs +6325 geographic NAD83(MA11) 129.48,1.64,149.55,23.9 1118 +proj=longlat +ellps=GRS80 +no_defs +6328 projected NAD83(2011) / UTM zone 59N 167.65,49.01,174.01,56.28 2 1116 +proj=utm +zone=59 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6329 projected NAD83(2011) / UTM zone 60N 174,47.92,180,56.67 2 1116 +proj=utm +zone=60 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6330 projected NAD83(2011) / UTM zone 1N -180,47.88,-173.99,63.21 2 1116 +proj=utm +zone=1 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6331 projected NAD83(2011) / UTM zone 2N -174,48.66,-167.99,73.05 2 1116 +proj=utm +zone=2 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6332 projected NAD83(2011) / UTM zone 3N -168,49.52,-161.99,74.29 2 1116 +proj=utm +zone=3 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6333 projected NAD83(2011) / UTM zone 4N -162,50.98,-155.99,74.71 2 1116 +proj=utm +zone=4 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6334 projected NAD83(2011) / UTM zone 5N -156,52.15,-149.99,74.71 2 1116 +proj=utm +zone=5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6335 projected NAD83(2011) / UTM zone 6N -150,54.05,-143.99,74.13 2 1116 +proj=utm +zone=6 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6336 projected NAD83(2011) / UTM zone 7N -144,53.47,-137.99,73.59 2 1116 +proj=utm +zone=7 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6337 projected NAD83(2011) / UTM zone 8N -138,53.6,-131.99,73.04 2 1116 +proj=utm +zone=8 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6338 projected NAD83(2011) / UTM zone 9N -132,35.38,-126,56.84 2 1116 +proj=utm +zone=9 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6339 projected NAD83(2011) / UTM zone 10N -126,30.54,-119.99,49.09 2 1116 +proj=utm +zone=10 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6340 projected NAD83(2011) / UTM zone 11N -120,30.88,-114,49.01 2 1116 +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6341 projected NAD83(2011) / UTM zone 12N -114,31.33,-108,49.01 2 1116 +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6342 projected NAD83(2011) / UTM zone 13N -108,28.98,-102,49.01 2 1116 +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6343 projected NAD83(2011) / UTM zone 14N -102,25.83,-96,49.01 2 1116 +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6344 projected NAD83(2011) / UTM zone 15N -96.01,25.61,-90,49.38 2 1116 +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6345 projected NAD83(2011) / UTM zone 16N -90,23.97,-84,48.32 2 1116 +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6346 projected NAD83(2011) / UTM zone 17N -84,23.81,-78,46.13 2 1116 +proj=utm +zone=17 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6347 projected NAD83(2011) / UTM zone 18N -78,28.28,-72,45.03 2 1116 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6348 projected NAD83(2011) / UTM zone 19N -72,33.61,-65.99,47.47 2 1116 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6350 projected NAD83(2011) / Conus Albers -124.79,24.41,-66.91,49.38 2 1116 +proj=aea +lat_0=23 +lon_0=-96 +lat_1=29.5 +lat_2=45.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6351 projected NAD83(2011) / EPSG Arctic zone 5-29 -173,69.5,-153,74.51 2 1116 +proj=lcc +lat_0=72.0250091944445 +lon_0=-163 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=29500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6352 projected NAD83(2011) / EPSG Arctic zone 5-31 -157,69.5,-137,74.51 2 1116 +proj=lcc +lat_0=72.0250091944445 +lon_0=-147 +lat_1=73.6666666666667 +lat_2=70.3333333333333 +x_0=31500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6353 projected NAD83(2011) / EPSG Arctic zone 6-14 -174,66.16,-156,71.17 2 1116 +proj=lcc +lat_0=68.6874755555556 +lon_0=-165 +lat_1=70.3333333333333 +lat_2=67 +x_0=14500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6354 projected NAD83(2011) / EPSG Arctic zone 6-16 -156,66.16,-138,71.17 2 1116 +proj=lcc +lat_0=68.6874755555556 +lon_0=-147 +lat_1=70.3333333333333 +lat_2=67 +x_0=16500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6355 projected NAD83(2011) / Alabama East -86.79,30.99,-84.89,35 2 1116 +proj=tmerc +lat_0=30.5 +lon_0=-85.8333333333333 +k=0.99996 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6356 projected NAD83(2011) / Alabama West -88.48,30.14,-86.3,35.02 2 1116 +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6362 projected Mexico ITRF92 / LCC -122.19,12.1,-84.64,32.72 1 1042 +proj=lcc +lat_0=12 +lon_0=-102 +lat_1=17.5 +lat_2=29.5 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6365 geographic Mexico ITRF2008 -122.19,12.1,-84.64,32.72 1 1120 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +6366 projected Mexico ITRF2008 / UTM zone 11N -122.19,15.01,-114,32.72 1 1120 +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6367 projected Mexico ITRF2008 / UTM zone 12N -114,15.09,-108,32.27 1 1120 +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6368 projected Mexico ITRF2008 / UTM zone 13N -108,14.05,-102,31.79 1 1120 +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6369 projected Mexico ITRF2008 / UTM zone 14N -102,12.3,-96,29.81 1 1120 +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6370 projected Mexico ITRF2008 / UTM zone 15N -96,12.1,-90,26 1 1120 +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6371 projected Mexico ITRF2008 / UTM zone 16N -90,17.81,-84.64,25.77 1 1120 +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6372 projected Mexico ITRF2008 / LCC -122.19,12.1,-84.64,32.72 1 1120 +proj=lcc +lat_0=12 +lon_0=-102 +lat_1=17.5 +lat_2=29.5 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6381 projected UCS-2000 / Ukraine TM zone 7 22.15,48.24,22.5,48.98 1 1077 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6382 projected UCS-2000 / Ukraine TM zone 8 22.5,47.71,25.5,51.96 1 1077 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6383 projected UCS-2000 / Ukraine TM zone 9 25.5,45.26,28.5,51.94 1 1077 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6384 projected UCS-2000 / Ukraine TM zone 10 28.5,43.42,31.5,52.12 1 1077 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6385 projected UCS-2000 / Ukraine TM zone 11 31.5,43.18,34.5,52.38 1 1077 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6386 projected UCS-2000 / Ukraine TM zone 12 34.5,43.24,37.5,51.25 1 1077 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6387 projected UCS-2000 / Ukraine TM zone 13 37.5,46.77,40.18,50.39 1 1077 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +6391 projected Cayman Islands National Grid 2011 -83.6,17.58,-78.72,20.68 1 1100 +proj=lcc +lat_0=19.3333333333333 +lon_0=-80.5666666666667 +lat_1=19.3333333333333 +lat_2=19.7 +x_0=899160 +y_0=579120 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6393 projected NAD83(2011) / Alaska Albers 172.42,51.3,-129.99,71.4 2 1116 +proj=aea +lat_0=50 +lon_0=-154 +lat_1=55 +lat_2=65 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6394 projected NAD83(2011) / Alaska zone 1 -141,54.61,-129.99,60.35 2 1116 +proj=omerc +no_uoff +lat_0=57 +lonc=-133.666666666667 +alpha=323.130102361111 +gamma=323.130102361111 +k=0.9999 +x_0=5000000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6395 projected NAD83(2011) / Alaska zone 2 -144.01,59.72,-140.98,70.16 2 1116 +proj=tmerc +lat_0=54 +lon_0=-142 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6396 projected NAD83(2011) / Alaska zone 3 -148,59.72,-144,70.38 2 1116 +proj=tmerc +lat_0=54 +lon_0=-146 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6397 projected NAD83(2011) / Alaska zone 4 -152.01,59.11,-147.99,70.63 2 1116 +proj=tmerc +lat_0=54 +lon_0=-150 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6398 projected NAD83(2011) / Alaska zone 5 -156,55.72,-151.86,71.28 2 1116 +proj=tmerc +lat_0=54 +lon_0=-154 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6399 projected NAD83(2011) / Alaska zone 6 -160,54.89,-155.99,71.4 2 1116 +proj=tmerc +lat_0=54 +lon_0=-158 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6400 projected NAD83(2011) / Alaska zone 7 -164.01,54.32,-160,70.74 2 1116 +proj=tmerc +lat_0=54 +lon_0=-162 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6401 projected NAD83(2011) / Alaska zone 8 -168.26,54.34,-164,69.05 2 1116 +proj=tmerc +lat_0=54 +lon_0=-166 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6402 projected NAD83(2011) / Alaska zone 9 -173.16,56.49,-168,65.82 2 1116 +proj=tmerc +lat_0=54 +lon_0=-170 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6403 projected NAD83(2011) / Alaska zone 10 172.42,51.3,-164.84,54.34 2 1116 +proj=lcc +lat_0=51 +lon_0=-176 +lat_1=53.8333333333333 +lat_2=51.8333333333333 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6404 projected NAD83(2011) / Arizona Central -113.35,31.33,-110.44,37.01 2 1116 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6405 projected NAD83(2011) / Arizona Central (ft) -113.35,31.33,-110.44,37.01 2 1116 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6406 projected NAD83(2011) / Arizona East -111.71,31.33,-109.04,37.01 2 1116 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6407 projected NAD83(2011) / Arizona East (ft) -111.71,31.33,-109.04,37.01 2 1116 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6408 projected NAD83(2011) / Arizona West -114.81,32.05,-112.52,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6409 projected NAD83(2011) / Arizona West (ft) -114.81,32.05,-112.52,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6410 projected NAD83(2011) / Arkansas North -94.62,34.67,-89.64,36.5 2 1116 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6411 projected NAD83(2011) / Arkansas North (ftUS) -94.62,34.67,-89.64,36.5 2 1116 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6412 projected NAD83(2011) / Arkansas South -94.48,33.01,-90.4,35.1 2 1116 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6413 projected NAD83(2011) / Arkansas South (ftUS) -94.48,33.01,-90.4,35.1 2 1116 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6414 projected NAD83(2011) / California Albers -124.45,32.53,-114.12,42.01 2 1116 +proj=aea +lat_0=0 +lon_0=-120 +lat_1=34 +lat_2=40.5 +x_0=0 +y_0=-4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6415 projected NAD83(2011) / California zone 1 -124.45,39.59,-119.99,42.01 2 1116 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6416 projected NAD83(2011) / California zone 1 (ftUS) -124.45,39.59,-119.99,42.01 2 1116 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6417 projected NAD83(2011) / California zone 2 -124.06,38.02,-119.54,40.16 2 1116 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6418 projected NAD83(2011) / California zone 2 (ftUS) -124.06,38.02,-119.54,40.16 2 1116 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6419 projected NAD83(2011) / California zone 3 -123.02,36.73,-117.83,38.71 2 1116 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6420 projected NAD83(2011) / California zone 3 (ftUS) -123.02,36.73,-117.83,38.71 2 1116 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6421 projected NAD83(2011) / California zone 4 -122.01,35.78,-115.62,37.58 2 1116 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6422 projected NAD83(2011) / California zone 4 (ftUS) -122.01,35.78,-115.62,37.58 2 1116 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6423 projected NAD83(2011) / California zone 5 -121.42,32.76,-114.12,35.81 2 1116 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6424 projected NAD83(2011) / California zone 5 (ftUS) -121.42,32.76,-114.12,35.81 2 1116 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6425 projected NAD83(2011) / California zone 6 -118.15,32.53,-114.42,34.08 2 1116 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6426 projected NAD83(2011) / California zone 6 (ftUS) -118.15,32.53,-114.42,34.08 2 1116 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6427 projected NAD83(2011) / Colorado Central -109.06,38.14,-102.04,40.09 2 1116 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6428 projected NAD83(2011) / Colorado Central (ftUS) -109.06,38.14,-102.04,40.09 2 1116 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6429 projected NAD83(2011) / Colorado North -109.06,39.56,-102.04,41.01 2 1116 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6430 projected NAD83(2011) / Colorado North (ftUS) -109.06,39.56,-102.04,41.01 2 1116 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6431 projected NAD83(2011) / Colorado South -109.06,36.98,-102.04,38.68 2 1116 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6432 projected NAD83(2011) / Colorado South (ftUS) -109.06,36.98,-102.04,38.68 2 1116 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.828803658 +y_0=304800.609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6433 projected NAD83(2011) / Connecticut -73.73,40.98,-71.78,42.05 2 1116 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.6096 +y_0=152400.3048 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6434 projected NAD83(2011) / Connecticut (ftUS) -73.73,40.98,-71.78,42.05 2 1116 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.609601219 +y_0=152400.30480061 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6435 projected NAD83(2011) / Delaware -75.8,38.44,-74.97,39.85 2 1116 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6436 projected NAD83(2011) / Delaware (ftUS) -75.8,38.44,-74.97,39.85 2 1116 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6437 projected NAD83(2011) / Florida East -82.33,24.41,-79.97,30.83 2 1116 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6438 projected NAD83(2011) / Florida East (ftUS) -82.33,24.41,-79.97,30.83 2 1116 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6439 projected NAD83(2011) / Florida GDL Albers -87.63,24.41,-79.97,31.01 2 1116 +proj=aea +lat_0=24 +lon_0=-84 +lat_1=24 +lat_2=31.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6440 projected NAD83(2011) / Florida North -87.63,29.21,-82.04,31.01 2 1116 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6441 projected NAD83(2011) / Florida North (ftUS) -87.63,29.21,-82.04,31.01 2 1116 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6442 projected NAD83(2011) / Florida West -83.34,26.27,-81.13,29.6 2 1116 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6443 projected NAD83(2011) / Florida West (ftUS) -83.34,26.27,-81.13,29.6 2 1116 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6444 projected NAD83(2011) / Georgia East -83.47,30.36,-80.77,34.68 2 1116 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6445 projected NAD83(2011) / Georgia East (ftUS) -83.47,30.36,-80.77,34.68 2 1116 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6446 projected NAD83(2011) / Georgia West -85.61,30.62,-82.99,35.01 2 1116 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6447 projected NAD83(2011) / Georgia West (ftUS) -85.61,30.62,-82.99,35.01 2 1116 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6448 projected NAD83(2011) / Idaho Central -115.3,41.99,-112.67,45.7 2 1116 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6449 projected NAD83(2011) / Idaho Central (ftUS) -115.3,41.99,-112.67,45.7 2 1116 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6450 projected NAD83(2011) / Idaho East -113.24,41.99,-111.04,44.75 2 1116 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6451 projected NAD83(2011) / Idaho East (ftUS) -113.24,41.99,-111.04,44.75 2 1116 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6452 projected NAD83(2011) / Idaho West -117.24,41.99,-114.32,49.01 2 1116 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6453 projected NAD83(2011) / Idaho West (ftUS) -117.24,41.99,-114.32,49.01 2 1116 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6454 projected NAD83(2011) / Illinois East -89.27,37.06,-87.02,42.5 2 1116 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6455 projected NAD83(2011) / Illinois East (ftUS) -89.27,37.06,-87.02,42.5 2 1116 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6456 projected NAD83(2011) / Illinois West -91.52,36.97,-88.92,42.51 2 1116 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6457 projected NAD83(2011) / Illinois West (ftUS) -91.52,36.97,-88.92,42.51 2 1116 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=699999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6458 projected NAD83(2011) / Indiana East -86.59,37.95,-84.78,41.77 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=100000 +y_0=250000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6459 projected NAD83(2011) / Indiana East (ftUS) -86.59,37.95,-84.78,41.77 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=99999.9998983998 +y_0=249999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6460 projected NAD83(2011) / Indiana West -88.1,37.77,-86.24,41.77 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=250000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6461 projected NAD83(2011) / Indiana West (ftUS) -88.1,37.77,-86.24,41.77 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=249999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6462 projected NAD83(2011) / Iowa North -96.65,41.85,-90.15,43.51 2 1116 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6463 projected NAD83(2011) / Iowa North (ftUS) -96.65,41.85,-90.15,43.51 2 1116 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6464 projected NAD83(2011) / Iowa South -96.14,40.36,-90.14,42.04 2 1116 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6465 projected NAD83(2011) / Iowa South (ftUS) -96.14,40.36,-90.14,42.04 2 1116 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6466 projected NAD83(2011) / Kansas North -102.06,38.52,-94.58,40.01 2 1116 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6467 projected NAD83(2011) / Kansas North (ftUS) -102.06,38.52,-94.58,40.01 2 1116 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6468 projected NAD83(2011) / Kansas South -102.05,36.99,-94.6,38.88 2 1116 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6469 projected NAD83(2011) / Kansas South (ftUS) -102.05,36.99,-94.6,38.88 2 1116 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6470 projected NAD83(2011) / Kentucky North -85.96,37.71,-82.47,39.15 2 1116 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6471 projected NAD83(2011) / Kentucky North (ftUS) -85.96,37.71,-82.47,39.15 2 1116 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6472 projected NAD83(2011) / Kentucky Single Zone -89.57,36.49,-81.95,39.15 2 1116 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6473 projected NAD83(2011) / Kentucky Single Zone (ftUS) -89.57,36.49,-81.95,39.15 2 1116 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.0833333333333 +lat_2=38.6666666666667 +x_0=1500000 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6474 projected NAD83(2011) / Kentucky South -89.57,36.49,-81.95,38.17 2 1116 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6475 projected NAD83(2011) / Kentucky South (ftUS) -89.57,36.49,-81.95,38.17 2 1116 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6476 projected NAD83(2011) / Louisiana North -94.05,30.85,-90.86,33.03 2 1116 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6477 projected NAD83(2011) / Louisiana North (ftUS) -94.05,30.85,-90.86,33.03 2 1116 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6478 projected NAD83(2011) / Louisiana South -93.94,28.85,-88.75,31.07 2 1116 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6479 projected NAD83(2011) / Louisiana South (ftUS) -93.94,28.85,-88.75,31.07 2 1116 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=999999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6480 projected NAD83(2011) / Maine CS2000 Central -70.03,43.75,-68.33,47.47 2 1116 +proj=tmerc +lat_0=43.5 +lon_0=-69.125 +k=0.99998 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6481 projected NAD83(2011) / Maine CS2000 East -68.58,44.18,-66.91,47.37 2 1116 +proj=tmerc +lat_0=43.8333333333333 +lon_0=-67.875 +k=0.99998 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6482 projected NAD83(2011) / Maine CS2000 West -71.09,43.07,-69.6,46.58 2 1116 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.375 +k=0.99998 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6483 projected NAD83(2011) / Maine East -70.03,43.88,-66.91,47.47 2 1116 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6484 projected NAD83(2011) / Maine East (ftUS) -70.03,43.88,-66.91,47.47 2 1116 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6485 projected NAD83(2011) / Maine West -71.09,43.04,-69.26,46.58 2 1116 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6486 projected NAD83(2011) / Maine West (ftUS) -71.09,43.04,-69.26,46.58 2 1116 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6487 projected NAD83(2011) / Maryland -79.49,37.97,-74.97,39.73 2 1116 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6488 projected NAD83(2011) / Maryland (ftUS) -79.49,37.97,-74.97,39.73 2 1116 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=399999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6489 projected NAD83(2011) / Massachusetts Island -70.91,41.19,-69.89,41.51 2 1116 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6490 projected NAD83(2011) / Massachusetts Island (ftUS) -70.91,41.19,-69.89,41.51 2 1116 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6491 projected NAD83(2011) / Massachusetts Mainland -73.5,41.46,-69.86,42.89 2 1116 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6492 projected NAD83(2011) / Massachusetts Mainland (ftUS) -73.5,41.46,-69.86,42.89 2 1116 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000.0001016 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6493 projected NAD83(2011) / Michigan Central -87.06,43.8,-82.27,45.92 2 1116 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=6000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6494 projected NAD83(2011) / Michigan Central (ft) -87.06,43.8,-82.27,45.92 2 1116 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=5999999.999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6495 projected NAD83(2011) / Michigan North -90.42,45.08,-83.44,48.32 2 1116 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=8000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6496 projected NAD83(2011) / Michigan North (ft) -90.42,45.08,-83.44,48.32 2 1116 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=7999999.999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6497 projected NAD83(2011) / Michigan Oblique Mercator -90.42,41.69,-82.13,48.32 2 1116 +proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6498 projected NAD83(2011) / Michigan South -87.2,41.69,-82.13,44.22 2 1116 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=4000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6499 projected NAD83(2011) / Michigan South (ft) -87.2,41.69,-82.13,44.22 2 1116 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=3999999.999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6500 projected NAD83(2011) / Minnesota Central -96.86,45.28,-92.29,47.48 2 1116 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6501 projected NAD83(2011) / Minnesota Central (ftUS) -96.86,45.28,-92.29,47.48 2 1116 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6502 projected NAD83(2011) / Minnesota North -97.22,46.64,-89.49,49.38 2 1116 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6503 projected NAD83(2011) / Minnesota North (ftUS) -97.22,46.64,-89.49,49.38 2 1116 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6504 projected NAD83(2011) / Minnesota South -96.85,43.49,-91.21,45.59 2 1116 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6505 projected NAD83(2011) / Minnesota South (ftUS) -96.85,43.49,-91.21,45.59 2 1116 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6506 projected NAD83(2011) / Mississippi East -89.97,30.01,-88.09,35.01 2 1116 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6507 projected NAD83(2011) / Mississippi East (ftUS) -89.97,30.01,-88.09,35.01 2 1116 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6508 projected NAD83(2011) / Mississippi TM -91.65,30.01,-88.09,35.01 2 1116 +proj=tmerc +lat_0=32.5 +lon_0=-89.75 +k=0.9998335 +x_0=500000 +y_0=1300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6509 projected NAD83(2011) / Mississippi West -91.65,31,-89.37,35.01 2 1116 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6510 projected NAD83(2011) / Mississippi West (ftUS) -91.65,31,-89.37,35.01 2 1116 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=699999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6511 projected NAD83(2011) / Missouri Central -93.79,36.48,-91.41,40.61 2 1116 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-92.5 +k=0.999933333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6512 projected NAD83(2011) / Missouri East -91.97,35.98,-89.1,40.61 2 1116 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-90.5 +k=0.999933333 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6513 projected NAD83(2011) / Missouri West -95.77,36.48,-93.48,40.59 2 1116 +proj=tmerc +lat_0=36.1666666666667 +lon_0=-94.5 +k=0.999941177 +x_0=850000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6514 projected NAD83(2011) / Montana -116.07,44.35,-104.04,49.01 2 1116 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6515 projected NAD83(2011) / Montana (ft) -116.07,44.35,-104.04,49.01 2 1116 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6516 projected NAD83(2011) / Nebraska -104.06,39.99,-95.3,43.01 2 1116 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6518 projected NAD83(2011) / Nevada Central -118.19,36,-114.99,41 2 1116 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6519 projected NAD83(2011) / Nevada Central (ftUS) -118.19,36,-114.99,41 2 1116 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6520 projected NAD83(2011) / Nevada East -117.01,34.99,-114.03,42 2 1116 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000 +y_0=8000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6521 projected NAD83(2011) / Nevada East (ftUS) -117.01,34.99,-114.03,42 2 1116 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6522 projected NAD83(2011) / Nevada West -120,36.95,-116.99,42 2 1116 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6523 projected NAD83(2011) / Nevada West (ftUS) -120,36.95,-116.99,42 2 1116 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000.00001016 +y_0=3999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6524 projected NAD83(2011) / New Hampshire -72.56,42.69,-70.63,45.31 2 1116 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6525 projected NAD83(2011) / New Hampshire (ftUS) -72.56,42.69,-70.63,45.31 2 1116 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6526 projected NAD83(2011) / New Jersey -75.6,38.87,-73.88,41.36 2 1116 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6527 projected NAD83(2011) / New Jersey (ftUS) -75.6,38.87,-73.88,41.36 2 1116 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6528 projected NAD83(2011) / New Mexico Central -107.73,31.78,-104.84,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6529 projected NAD83(2011) / New Mexico Central (ftUS) -107.73,31.78,-104.84,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6530 projected NAD83(2011) / New Mexico East -105.72,32,-102.99,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6531 projected NAD83(2011) / New Mexico East (ftUS) -105.72,32,-102.99,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6532 projected NAD83(2011) / New Mexico West -109.06,31.33,-106.32,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6533 projected NAD83(2011) / New Mexico West (ftUS) -109.06,31.33,-106.32,37 2 1116 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6534 projected NAD83(2011) / New York Central -77.75,41.99,-75.06,44.41 2 1116 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6535 projected NAD83(2011) / New York Central (ftUS) -77.75,41.99,-75.06,44.41 2 1116 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=249999.9998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6536 projected NAD83(2011) / New York East -75.87,40.88,-73.23,45.02 2 1116 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6537 projected NAD83(2011) / New York East (ftUS) -75.87,40.88,-73.23,45.02 2 1116 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6538 projected NAD83(2011) / New York Long Island -74.26,40.47,-71.8,41.3 2 1116 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6539 projected NAD83(2011) / New York Long Island (ftUS) -74.26,40.47,-71.8,41.3 2 1116 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6540 projected NAD83(2011) / New York West -79.77,41.99,-77.36,43.64 2 1116 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6541 projected NAD83(2011) / New York West (ftUS) -79.77,41.99,-77.36,43.64 2 1116 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6542 projected NAD83(2011) / North Carolina -84.33,33.83,-75.38,36.59 2 1116 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.22 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6543 projected NAD83(2011) / North Carolina (ftUS) -84.33,33.83,-75.38,36.59 2 1116 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.219202438 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6544 projected NAD83(2011) / North Dakota North -104.07,47.15,-96.83,49.01 2 1116 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6545 projected NAD83(2011) / North Dakota North (ft) -104.07,47.15,-96.83,49.01 2 1116 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6546 projected NAD83(2011) / North Dakota South -104.05,45.93,-96.55,47.83 2 1116 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6547 projected NAD83(2011) / North Dakota South (ft) -104.05,45.93,-96.55,47.83 2 1116 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6548 projected NAD83(2011) / Ohio North -84.81,40.1,-80.51,42.33 2 1116 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6549 projected NAD83(2011) / Ohio North (ftUS) -84.81,40.1,-80.51,42.33 2 1116 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6550 projected NAD83(2011) / Ohio South -84.83,38.4,-80.7,40.36 2 1116 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6551 projected NAD83(2011) / Ohio South (ftUS) -84.83,38.4,-80.7,40.36 2 1116 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6552 projected NAD83(2011) / Oklahoma North -103,35.27,-94.42,37.01 2 1116 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6553 projected NAD83(2011) / Oklahoma North (ftUS) -103,35.27,-94.42,37.01 2 1116 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6554 projected NAD83(2011) / Oklahoma South -100,33.62,-94.42,35.57 2 1116 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6555 projected NAD83(2011) / Oklahoma South (ftUS) -100,33.62,-94.42,35.57 2 1116 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6556 projected NAD83(2011) / Oregon LCC (m) -124.6,41.98,-116.47,46.26 2 1116 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6557 projected NAD83(2011) / Oregon GIC Lambert (ft) -124.6,41.98,-116.47,46.26 2 1116 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6558 projected NAD83(2011) / Oregon North -124.17,43.95,-116.47,46.26 2 1116 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6559 projected NAD83(2011) / Oregon North (ft) -124.17,43.95,-116.47,46.26 2 1116 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6560 projected NAD83(2011) / Oregon South -124.6,41.98,-116.9,44.56 2 1116 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6561 projected NAD83(2011) / Oregon South (ft) -124.6,41.98,-116.9,44.56 2 1116 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6562 projected NAD83(2011) / Pennsylvania North -80.53,40.6,-74.7,42.53 2 1116 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6563 projected NAD83(2011) / Pennsylvania North (ftUS) -80.53,40.6,-74.7,42.53 2 1116 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6564 projected NAD83(2011) / Pennsylvania South -80.53,39.71,-74.72,41.18 2 1116 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6565 projected NAD83(2011) / Pennsylvania South (ftUS) -80.53,39.71,-74.72,41.18 2 1116 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6566 projected NAD83(2011) / Puerto Rico and Virgin Is. -67.97,17.62,-64.51,18.57 2 1116 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=200000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6567 projected NAD83(2011) / Rhode Island -71.85,41.13,-71.08,42.02 2 1116 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=100000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6568 projected NAD83(2011) / Rhode Island (ftUS) -71.85,41.13,-71.08,42.02 2 1116 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=99999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6569 projected NAD83(2011) / South Carolina -83.36,32.05,-78.52,35.21 2 1116 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6570 projected NAD83(2011) / South Carolina (ft) -83.36,32.05,-78.52,35.21 2 1116 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6571 projected NAD83(2011) / South Dakota North -104.07,44.14,-96.45,45.95 2 1116 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6572 projected NAD83(2011) / South Dakota North (ftUS) -104.07,44.14,-96.45,45.95 2 1116 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6573 projected NAD83(2011) / South Dakota South -104.06,42.48,-96.43,44.79 2 1116 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6574 projected NAD83(2011) / South Dakota South (ftUS) -104.06,42.48,-96.43,44.79 2 1116 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6575 projected NAD83(2011) / Tennessee -90.31,34.98,-81.65,36.68 2 1116 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6576 projected NAD83(2011) / Tennessee (ftUS) -90.31,34.98,-81.65,36.68 2 1116 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6577 projected NAD83(2011) / Texas Central -106.66,29.78,-93.5,32.27 2 1116 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=700000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6578 projected NAD83(2011) / Texas Central (ftUS) -106.66,29.78,-93.5,32.27 2 1116 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=699999.9998984 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6579 projected NAD83(2011) / Texas Centric Albers Equal Area -106.66,25.83,-93.5,36.5 2 1116 +proj=aea +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6580 projected NAD83(2011) / Texas Centric Lambert Conformal -106.66,25.83,-93.5,36.5 2 1116 +proj=lcc +lat_0=18 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6581 projected NAD83(2011) / Texas North -103.03,34.3,-99.99,36.5 2 1116 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6582 projected NAD83(2011) / Texas North (ftUS) -103.03,34.3,-99.99,36.5 2 1116 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6583 projected NAD83(2011) / Texas North Central -103.07,31.72,-94,34.58 2 1116 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6584 projected NAD83(2011) / Texas North Central (ftUS) -103.07,31.72,-94,34.58 2 1116 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6585 projected NAD83(2011) / Texas South -100.2,25.83,-96.85,28.21 2 1116 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6586 projected NAD83(2011) / Texas South (ftUS) -100.2,25.83,-96.85,28.21 2 1116 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6587 projected NAD83(2011) / Texas South Central -105,27.78,-93.76,30.67 2 1116 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6588 projected NAD83(2011) / Texas South Central (ftUS) -105,27.78,-93.76,30.67 2 1116 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=3999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6589 projected NAD83(2011) / Vermont -73.44,42.72,-71.5,45.03 2 1116 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6590 projected NAD83(2011) / Vermont (ftUS) -73.44,42.72,-71.5,45.03 2 1116 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6591 projected NAD83(2011) / Virginia Lambert -83.68,36.54,-75.31,39.46 2 1116 +proj=lcc +lat_0=36 +lon_0=-79.5 +lat_1=37 +lat_2=39.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6592 projected NAD83(2011) / Virginia North -80.06,37.77,-76.51,39.46 2 1116 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6593 projected NAD83(2011) / Virginia North (ftUS) -80.06,37.77,-76.51,39.46 2 1116 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000.0001016 +y_0=2000000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6594 projected NAD83(2011) / Virginia South -83.68,36.54,-75.31,38.28 2 1116 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6595 projected NAD83(2011) / Virginia South (ftUS) -83.68,36.54,-75.31,38.28 2 1116 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000.0001016 +y_0=999999.9998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6596 projected NAD83(2011) / Washington North -124.79,47.08,-117.02,49.05 2 1116 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6597 projected NAD83(2011) / Washington North (ftUS) -124.79,47.08,-117.02,49.05 2 1116 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6598 projected NAD83(2011) / Washington South -124.4,45.54,-116.91,47.61 2 1116 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6599 projected NAD83(2011) / Washington South (ftUS) -124.4,45.54,-116.91,47.61 2 1116 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6600 projected NAD83(2011) / West Virginia North -81.76,38.76,-77.72,40.64 2 1116 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6601 projected NAD83(2011) / West Virginia North (ftUS) -81.76,38.76,-77.72,40.64 2 1116 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6602 projected NAD83(2011) / West Virginia South -82.65,37.2,-79.05,39.17 2 1116 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6603 projected NAD83(2011) / West Virginia South (ftUS) -82.65,37.2,-79.05,39.17 2 1116 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6605 projected NAD83(2011) / Wisconsin Central (ftUS) -92.89,43.98,-86.25,45.8 2 1116 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6606 projected NAD83(2011) / Wisconsin North -92.89,45.37,-88.05,47.31 2 1116 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6607 projected NAD83(2011) / Wisconsin North (ftUS) -92.89,45.37,-88.05,47.31 2 1116 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6608 projected NAD83(2011) / Wisconsin South -91.43,42.48,-86.95,44.33 2 1116 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6609 projected NAD83(2011) / Wisconsin South (ftUS) -91.43,42.48,-86.95,44.33 2 1116 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6610 projected NAD83(2011) / Wisconsin Transverse Mercator -92.89,42.48,-86.25,47.31 2 1116 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9996 +x_0=520000 +y_0=-4480000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6611 projected NAD83(2011) / Wyoming East -106.33,40.99,-104.05,45.01 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6612 projected NAD83(2011) / Wyoming East (ftUS) -106.33,40.99,-104.05,45.01 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6613 projected NAD83(2011) / Wyoming East Central -108.63,40.99,-106,45.01 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=400000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6614 projected NAD83(2011) / Wyoming East Central (ftUS) -108.63,40.99,-106,45.01 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=399999.99998984 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6615 projected NAD83(2011) / Wyoming West -111.06,40.99,-109.04,44.67 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6616 projected NAD83(2011) / Wyoming West (ftUS) -111.06,40.99,-109.04,44.67 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6617 projected NAD83(2011) / Wyoming West Central -111.06,40.99,-107.5,45.01 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6618 projected NAD83(2011) / Wyoming West Central (ftUS) -111.06,40.99,-107.5,45.01 2 1116 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6619 projected NAD83(2011) / Utah Central -114.05,38.49,-109.04,41.08 2 1116 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6620 projected NAD83(2011) / Utah North -114.04,40.55,-109.04,42.01 2 1116 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6621 projected NAD83(2011) / Utah South -114.05,36.99,-109.04,38.58 2 1116 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6622 projected NAD83(CSRS)v2 / Quebec Lambert -79.85,44.99,-57.1,62.62 1193 +proj=lcc +lat_0=44 +lon_0=-68.5 +lat_1=60 +lat_2=46 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +6623 projected NAD83 / Quebec Albers -79.85,44.99,-57.1,62.62 4 6269 +proj=aea +lat_0=44 +lon_0=-68.5 +lat_1=60 +lat_2=46 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6624 projected NAD83(CSRS)v2 / Quebec Albers -79.85,44.99,-57.1,62.62 1193 +proj=aea +lat_0=44 +lon_0=-68.5 +lat_1=60 +lat_2=46 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +6625 projected NAD83(2011) / Utah Central (ftUS) -114.05,38.49,-109.04,41.08 2 1116 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000.00001016 +y_0=2000000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6626 projected NAD83(2011) / Utah North (ftUS) -114.04,40.55,-109.04,42.01 2 1116 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000.00001016 +y_0=999999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6627 projected NAD83(2011) / Utah South (ftUS) -114.05,36.99,-109.04,38.58 2 1116 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000.00001016 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6628 projected NAD83(PA11) / Hawaii zone 1 -156.1,18.87,-154.74,20.33 1117 +proj=tmerc +lat_0=18.8333333333333 +lon_0=-155.5 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6629 projected NAD83(PA11) / Hawaii zone 2 -157.36,20.45,-155.93,21.26 1117 +proj=tmerc +lat_0=20.3333333333333 +lon_0=-156.666666666667 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6630 projected NAD83(PA11) / Hawaii zone 3 -158.33,21.2,-157.61,21.75 1117 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6631 projected NAD83(PA11) / Hawaii zone 4 -159.85,21.81,-159.23,22.29 1117 +proj=tmerc +lat_0=21.8333333333333 +lon_0=-159.5 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6632 projected NAD83(PA11) / Hawaii zone 5 -160.3,21.73,-159.99,22.07 1117 +proj=tmerc +lat_0=21.6666666666667 +lon_0=-160.166666666667 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6633 projected NAD83(PA11) / Hawaii zone 3 (ftUS) -158.33,21.2,-157.61,21.75 1117 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +to_meter=0.304800609601219 +no_defs +6634 projected NAD83(PA11) / UTM zone 4N -160.3,19.51,-155.99,22.29 1117 +proj=utm +zone=4 +ellps=GRS80 +units=m +no_defs +6635 projected NAD83(PA11) / UTM zone 5N -156,18.87,-154.74,20.86 1117 +proj=utm +zone=5 +ellps=GRS80 +units=m +no_defs +6636 projected NAD83(PA11) / UTM zone 2S -170.88,-14.59,-168.09,-14.11 1117 +proj=utm +zone=2 +south +ellps=GRS80 +units=m +no_defs +6637 projected NAD83(MA11) / Guam Map Grid 144.58,13.18,145.01,13.7 1118 +proj=tmerc +lat_0=13.5 +lon_0=144.75 +k=1 +x_0=100000 +y_0=200000 +ellps=GRS80 +units=m +no_defs +6646 projected Karbala 1979 / Iraq National Grid 38.79,29.06,48.61,37.39 1 6743 +proj=tmerc +lat_0=29.0262683333333 +lon_0=46.5 +k=0.9994 +x_0=800000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=70.995,-335.916,262.898 +units=m +no_defs +6668 geographic JGD2011 122.38,17.09,157.65,46.05 1 1128 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +6669 projected JGD2011 / Japan Plane Rectangular CS I 128.17,26.96,130.46,34.74 1 1128 +proj=tmerc +lat_0=33 +lon_0=129.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6670 projected JGD2011 / Japan Plane Rectangular CS II 129.76,30.18,132.05,33.99 1 1128 +proj=tmerc +lat_0=33 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6671 projected JGD2011 / Japan Plane Rectangular CS III 130.81,33.72,133.49,36.38 1 1128 +proj=tmerc +lat_0=36 +lon_0=132.166666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6672 projected JGD2011 / Japan Plane Rectangular CS IV 131.95,32.69,134.81,34.45 1 1128 +proj=tmerc +lat_0=33 +lon_0=133.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6673 projected JGD2011 / Japan Plane Rectangular CS V 133.13,34.13,135.47,35.71 1 1128 +proj=tmerc +lat_0=36 +lon_0=134.333333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6674 projected JGD2011 / Japan Plane Rectangular CS VI 134.86,33.4,136.99,36.33 1 1128 +proj=tmerc +lat_0=36 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6675 projected JGD2011 / Japan Plane Rectangular CS VII 136.22,34.51,137.84,37.58 1 1128 +proj=tmerc +lat_0=36 +lon_0=137.166666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6676 projected JGD2011 / Japan Plane Rectangular CS VIII 137.32,34.54,139.91,38.58 1 1128 +proj=tmerc +lat_0=36 +lon_0=138.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6677 projected JGD2011 / Japan Plane Rectangular CS IX 138.4,29.31,141.11,37.98 1 1128 +proj=tmerc +lat_0=36 +lon_0=139.833333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6678 projected JGD2011 / Japan Plane Rectangular CS X 139.49,37.73,142.14,41.58 1 1128 +proj=tmerc +lat_0=40 +lon_0=140.833333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6679 projected JGD2011 / Japan Plane Rectangular CS XI 139.34,41.34,141.46,43.42 1 1128 +proj=tmerc +lat_0=44 +lon_0=140.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6680 projected JGD2011 / Japan Plane Rectangular CS XII 140.89,42.15,143.61,45.54 1 1128 +proj=tmerc +lat_0=44 +lon_0=142.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6681 projected JGD2011 / Japan Plane Rectangular CS XIII 142.61,41.87,145.87,44.4 1 1128 +proj=tmerc +lat_0=44 +lon_0=144.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6682 projected JGD2011 / Japan Plane Rectangular CS XIV 141.2,24.67,142.33,27.8 1 1128 +proj=tmerc +lat_0=26 +lon_0=142 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6683 projected JGD2011 / Japan Plane Rectangular CS XV 126.63,26.02,128.4,26.91 1 1128 +proj=tmerc +lat_0=26 +lon_0=127.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6684 projected JGD2011 / Japan Plane Rectangular CS XVI 122.83,23.98,125.51,24.94 1 1128 +proj=tmerc +lat_0=26 +lon_0=124 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6685 projected JGD2011 / Japan Plane Rectangular CS XVII 131.12,24.4,131.38,26.01 1 1128 +proj=tmerc +lat_0=26 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6686 projected JGD2011 / Japan Plane Rectangular CS XVIII 136.02,20.37,136.16,20.48 1 1128 +proj=tmerc +lat_0=20 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6687 projected JGD2011 / Japan Plane Rectangular CS XIX 153.91,24.22,154.05,24.35 1 1128 +proj=tmerc +lat_0=26 +lon_0=154 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6688 projected JGD2011 / UTM zone 51N 122.38,21.1,126,29.71 1 1128 +proj=utm +zone=51 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6689 projected JGD2011 / UTM zone 52N 126,21.12,132,38.63 1 1128 +proj=utm +zone=52 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6690 projected JGD2011 / UTM zone 53N 132,17.09,138,43.55 1 1128 +proj=utm +zone=53 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6691 projected JGD2011 / UTM zone 54N 138,17.63,144,46.05 1 1128 +proj=utm +zone=54 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6692 projected JGD2011 / UTM zone 55N 144,23.03,147.86,45.65 1 1128 +proj=utm +zone=55 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6703 projected WGS 84 / TM 60 SW -63.01,-56.25,-56.99,-47.68 6326 +proj=tmerc +lat_0=0 +lon_0=-60 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs +6706 geographic RDN2008 5.93,34.76,18.99,47.1 1 1132 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +6707 projected RDN2008 / UTM zone 32N (N-E) 5.93,36.53,12,47.04 1 1132 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6708 projected RDN2008 / UTM zone 33N (N-E) 12,34.79,18,47.1 1 1132 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6709 projected RDN2008 / UTM zone 34N (N-E) 17.99,34.76,18.99,41.64 1 1132 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6720 projected WGS 84 / CIG92 105.48,-10.63,105.77,-10.36 6326 +proj=tmerc +lat_0=0 +lon_0=105.625 +k=1.000024 +x_0=50000 +y_0=1300000 +datum=WGS84 +units=m +no_defs +6721 projected GDA94 / CIG94 105.48,-10.63,105.77,-10.36 3 6283 +proj=tmerc +lat_0=0 +lon_0=105.625 +k=1.00002514 +x_0=50000 +y_0=1300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6722 projected WGS 84 / CKIG92 96.76,-12.27,96.99,-11.76 6326 +proj=tmerc +lat_0=0 +lon_0=96.875 +k=1 +x_0=50000 +y_0=1400000 +datum=WGS84 +units=m +no_defs +6723 projected GDA94 / CKIG94 96.76,-12.27,96.99,-11.76 3 6283 +proj=tmerc +lat_0=0 +lon_0=96.875 +k=0.99999387 +x_0=50000 +y_0=1500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6736 projected GDA94 / MGA zone 46 93.41,-15.46,96.01,-8.57 3 6283 +proj=utm +zone=46 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6737 projected GDA94 / MGA zone 47 96,-15.56,100.34,-8.47 3 6283 +proj=utm +zone=47 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6738 projected GDA94 / MGA zone 59 168,-32.48,173.35,-25.61 3 6283 +proj=utm +zone=59 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6783 geographic NAD83(CORS96) 167.65,14.92,-63.88,74.71 1133 +proj=longlat +ellps=GRS80 +no_defs +6784 projected NAD83(CORS96) / Oregon Baker zone (m) -118.15,44.6,-117.37,45.19 1133 +proj=tmerc +lat_0=44.5 +lon_0=-117.833333333333 +k=1.00016 +x_0=40000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6785 projected NAD83(CORS96) / Oregon Baker zone (ft) -118.15,44.6,-117.37,45.19 1133 +proj=tmerc +lat_0=44.5 +lon_0=-117.833333333333 +k=1.00016 +x_0=39999.99999984 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6786 projected NAD83(2011) / Oregon Baker zone (m) -118.15,44.6,-117.37,45.19 2 1116 +proj=tmerc +lat_0=44.5 +lon_0=-117.833333333333 +k=1.00016 +x_0=40000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6787 projected NAD83(2011) / Oregon Baker zone (ft) -118.15,44.6,-117.37,45.19 2 1116 +proj=tmerc +lat_0=44.5 +lon_0=-117.833333333333 +k=1.00016 +x_0=39999.99999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6788 projected NAD83(CORS96) / Oregon Bend-Klamath Falls zone (m) -122.45,41.88,-120.77,43.89 1133 +proj=tmerc +lat_0=41.75 +lon_0=-121.75 +k=1.0002 +x_0=80000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6789 projected NAD83(CORS96) / Oregon Bend-Klamath Falls zone (ft) -122.45,41.88,-120.77,43.89 1133 +proj=tmerc +lat_0=41.75 +lon_0=-121.75 +k=1.0002 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6790 projected NAD83(2011) / Oregon Bend-Klamath Falls zone (m) -122.45,41.88,-120.77,43.89 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-121.75 +k=1.0002 +x_0=80000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6791 projected NAD83(2011) / Oregon Bend-Klamath Falls zone (ft) -122.45,41.88,-120.77,43.89 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-121.75 +k=1.0002 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6792 projected NAD83(CORS96) / Oregon Bend-Redmond-Prineville zone (m) -121.88,43.76,-119.79,44.98 1133 +proj=lcc +lat_1=44.6666666666667 +lat_0=44.6666666666667 +lon_0=-121.25 +k_0=1.00012 +x_0=80000 +y_0=130000 +ellps=GRS80 +units=m +no_defs +6793 projected NAD83(CORS96) / Oregon Bend-Redmond-Prineville zone (ft) -121.88,43.76,-119.79,44.98 1133 +proj=lcc +lat_1=44.6666666666667 +lat_0=44.6666666666667 +lon_0=-121.25 +k_0=1.00012 +x_0=79999.99999968 +y_0=130000.00001472 +ellps=GRS80 +to_meter=0.3048 +no_defs +6794 projected NAD83(2011) / Oregon Bend-Redmond-Prineville zone (m) -121.88,43.76,-119.79,44.98 2 1116 +proj=lcc +lat_1=44.6666666666667 +lat_0=44.6666666666667 +lon_0=-121.25 +k_0=1.00012 +x_0=80000 +y_0=130000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6795 projected NAD83(2011) / Oregon Bend-Redmond-Prineville zone (ft) -121.88,43.76,-119.79,44.98 2 1116 +proj=lcc +lat_1=44.6666666666667 +lat_0=44.6666666666667 +lon_0=-121.25 +k_0=1.00012 +x_0=79999.99999968 +y_0=130000.00001472 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6796 projected NAD83(CORS96) / Oregon Bend-Burns zone (m) -120.95,43.34,-118.8,44.28 1133 +proj=lcc +lat_1=43.6666666666667 +lat_0=43.6666666666667 +lon_0=-119.75 +k_0=1.0002 +x_0=120000 +y_0=60000 +ellps=GRS80 +units=m +no_defs +6797 projected NAD83(CORS96) / Oregon Bend-Burns zone (ft) -120.95,43.34,-118.8,44.28 1133 +proj=lcc +lat_1=43.6666666666667 +lat_0=43.6666666666667 +lon_0=-119.75 +k_0=1.0002 +x_0=119999.99999952 +y_0=59999.99999976 +ellps=GRS80 +to_meter=0.3048 +no_defs +6798 projected NAD83(2011) / Oregon Bend-Burns zone (m) -120.95,43.34,-118.8,44.28 2 1116 +proj=lcc +lat_1=43.6666666666667 +lat_0=43.6666666666667 +lon_0=-119.75 +k_0=1.0002 +x_0=120000 +y_0=60000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6799 projected NAD83(2011) / Oregon Bend-Burns zone (ft) -120.95,43.34,-118.8,44.28 2 1116 +proj=lcc +lat_1=43.6666666666667 +lat_0=43.6666666666667 +lon_0=-119.75 +k_0=1.0002 +x_0=119999.99999952 +y_0=59999.99999976 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6800 projected NAD83(CORS96) / Oregon Canyonville-Grants Pass zone (m) -123.83,42.49,-122.43,43.24 1133 +proj=tmerc +lat_0=42.5 +lon_0=-123.333333333333 +k=1.00007 +x_0=40000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6801 projected NAD83(CORS96) / Oregon Canyonville-Grants Pass zone (ft) -123.83,42.49,-122.43,43.24 1133 +proj=tmerc +lat_0=42.5 +lon_0=-123.333333333333 +k=1.00007 +x_0=39999.99999984 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6802 projected NAD83(2011) / Oregon Canyonville-Grants Pass zone (m) -123.83,42.49,-122.43,43.24 2 1116 +proj=tmerc +lat_0=42.5 +lon_0=-123.333333333333 +k=1.00007 +x_0=40000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6803 projected NAD83(2011) / Oregon Canyonville-Grants Pass zone (ft) -123.83,42.49,-122.43,43.24 2 1116 +proj=tmerc +lat_0=42.5 +lon_0=-123.333333333333 +k=1.00007 +x_0=39999.99999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6804 projected NAD83(CORS96) / Oregon Columbia River East zone (m) -122.05,45.49,-118.89,46.08 1133 +proj=lcc +lat_1=45.6666666666667 +lat_0=45.6666666666667 +lon_0=-120.5 +k_0=1.000008 +x_0=150000 +y_0=30000 +ellps=GRS80 +units=m +no_defs +6805 projected NAD83(CORS96) / Oregon Columbia River East zone (ft) -122.05,45.49,-118.89,46.08 1133 +proj=lcc +lat_1=45.6666666666667 +lat_0=45.6666666666667 +lon_0=-120.5 +k_0=1.000008 +x_0=150000.00001464 +y_0=30000.00001512 +ellps=GRS80 +to_meter=0.3048 +no_defs +6806 projected NAD83(2011) / Oregon Columbia River East zone (m) -122.05,45.49,-118.89,46.08 2 1116 +proj=lcc +lat_1=45.6666666666667 +lat_0=45.6666666666667 +lon_0=-120.5 +k_0=1.000008 +x_0=150000 +y_0=30000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6807 projected NAD83(2011) / Oregon Columbia River East zone (ft) -122.05,45.49,-118.89,46.08 2 1116 +proj=lcc +lat_1=45.6666666666667 +lat_0=45.6666666666667 +lon_0=-120.5 +k_0=1.000008 +x_0=150000.00001464 +y_0=30000.00001512 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6808 projected NAD83(CORS96) / Oregon Columbia River West zone (m) -124.33,45.17,-121.47,46.56 1133 +proj=omerc +no_uoff +lat_0=45.9166666666667 +lonc=-123 +alpha=295 +gamma=295 +k=1 +x_0=7000000 +y_0=-3000000 +ellps=GRS80 +units=m +no_defs +6809 projected NAD83(CORS96) / Oregon Columbia River West zone (ft) -124.33,45.17,-121.47,46.56 1133 +proj=omerc +no_uoff +lat_0=45.9166666666667 +lonc=-123 +alpha=295 +gamma=295 +k=1 +x_0=7000000.00000248 +y_0=-2999999.999988 +ellps=GRS80 +to_meter=0.3048 +no_defs +6810 projected NAD83(2011) / Oregon Columbia River West zone (m) -124.33,45.17,-121.47,46.56 2 1116 +proj=omerc +no_uoff +lat_0=45.9166666666667 +lonc=-123 +alpha=295 +gamma=295 +k=1 +x_0=7000000 +y_0=-3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6811 projected NAD83(2011) / Oregon Columbia River West zone (ft) -124.33,45.17,-121.47,46.56 2 1116 +proj=omerc +no_uoff +lat_0=45.9166666666667 +lonc=-123 +alpha=295 +gamma=295 +k=1 +x_0=7000000.00000248 +y_0=-2999999.999988 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6812 projected NAD83(CORS96) / Oregon Cottage Grove-Canyonville zone (m) -123.96,42.82,-122.4,43.88 1133 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-123.333333333333 +k=1.000023 +x_0=50000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6813 projected NAD83(CORS96) / Oregon Cottage Grove-Canyonville zone (ft) -123.96,42.82,-122.4,43.88 1133 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-123.333333333333 +k=1.000023 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6814 projected NAD83(2011) / Oregon Cottage Grove-Canyonville zone (m) -123.96,42.82,-122.4,43.88 2 1116 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-123.333333333333 +k=1.000023 +x_0=50000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6815 projected NAD83(2011) / Oregon Cottage Grove-Canyonville zone (ft) -123.96,42.82,-122.4,43.88 2 1116 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-123.333333333333 +k=1.000023 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6816 projected NAD83(CORS96) / Oregon Dufur-Madras zone (m) -121.95,44.63,-120.46,45.55 1133 +proj=tmerc +lat_0=44.5 +lon_0=-121 +k=1.00011 +x_0=80000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6817 projected NAD83(CORS96) / Oregon Dufur-Madras zone (ft) -121.95,44.63,-120.46,45.55 1133 +proj=tmerc +lat_0=44.5 +lon_0=-121 +k=1.00011 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6818 projected NAD83(2011) / Oregon Dufur-Madras zone (m) -121.95,44.63,-120.46,45.55 2 1116 +proj=tmerc +lat_0=44.5 +lon_0=-121 +k=1.00011 +x_0=80000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6819 projected NAD83(2011) / Oregon Dufur-Madras zone (ft) -121.95,44.63,-120.46,45.55 2 1116 +proj=tmerc +lat_0=44.5 +lon_0=-121 +k=1.00011 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6820 projected NAD83(CORS96) / Oregon Eugene zone (m) -123.8,43.74,-122.18,44.71 1133 +proj=tmerc +lat_0=43.75 +lon_0=-123.166666666667 +k=1.000015 +x_0=50000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6821 projected NAD83(CORS96) / Oregon Eugene zone (ft) -123.8,43.74,-122.18,44.71 1133 +proj=tmerc +lat_0=43.75 +lon_0=-123.166666666667 +k=1.000015 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6822 projected NAD83(2011) / Oregon Eugene zone (m) -123.8,43.74,-122.18,44.71 2 1116 +proj=tmerc +lat_0=43.75 +lon_0=-123.166666666667 +k=1.000015 +x_0=50000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6823 projected NAD83(2011) / Oregon Eugene zone (ft) -123.8,43.74,-122.18,44.71 2 1116 +proj=tmerc +lat_0=43.75 +lon_0=-123.166666666667 +k=1.000015 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6824 projected NAD83(CORS96) / Oregon Grants Pass-Ashland zone (m) -123.95,41.88,-122.37,42.85 1133 +proj=tmerc +lat_0=41.75 +lon_0=-123.333333333333 +k=1.000043 +x_0=50000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6825 projected NAD83(CORS96) / Oregon Grants Pass-Ashland zone (ft) -123.95,41.88,-122.37,42.85 1133 +proj=tmerc +lat_0=41.75 +lon_0=-123.333333333333 +k=1.000043 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6826 projected NAD83(2011) / Oregon Grants Pass-Ashland zone (m) -123.95,41.88,-122.37,42.85 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-123.333333333333 +k=1.000043 +x_0=50000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6827 projected NAD83(2011) / Oregon Grants Pass-Ashland zone (ft) -123.95,41.88,-122.37,42.85 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-123.333333333333 +k=1.000043 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6828 projected NAD83(CORS96) / Oregon Gresham-Warm Springs zone (m) -122.43,45.02,-121.68,45.55 1133 +proj=tmerc +lat_0=45 +lon_0=-122.333333333333 +k=1.00005 +x_0=10000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6829 projected NAD83(CORS96) / Oregon Gresham-Warm Springs zone (ft) -122.43,45.02,-121.68,45.55 1133 +proj=tmerc +lat_0=45 +lon_0=-122.333333333333 +k=1.00005 +x_0=10000.0000152 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6830 projected NAD83(2011) / Oregon Gresham-Warm Springs zone (m) -122.43,45.02,-121.68,45.55 2 1116 +proj=tmerc +lat_0=45 +lon_0=-122.333333333333 +k=1.00005 +x_0=10000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6831 projected NAD83(2011) / Oregon Gresham-Warm Springs zone (ft) -122.43,45.02,-121.68,45.55 2 1116 +proj=tmerc +lat_0=45 +lon_0=-122.333333333333 +k=1.00005 +x_0=10000.0000152 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6832 projected NAD83(CORS96) / Oregon La Grande zone (m) -118.17,45.13,-117.14,45.8 1133 +proj=tmerc +lat_0=45 +lon_0=-118 +k=1.00013 +x_0=40000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6833 projected NAD83(CORS96) / Oregon La Grande zone (ft) -118.17,45.13,-117.14,45.8 1133 +proj=tmerc +lat_0=45 +lon_0=-118 +k=1.00013 +x_0=39999.99999984 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6834 projected NAD83(2011) / Oregon La Grande zone (m) -118.17,45.13,-117.14,45.8 2 1116 +proj=tmerc +lat_0=45 +lon_0=-118 +k=1.00013 +x_0=40000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6835 projected NAD83(2011) / Oregon La Grande zone (ft) -118.17,45.13,-117.14,45.8 2 1116 +proj=tmerc +lat_0=45 +lon_0=-118 +k=1.00013 +x_0=39999.99999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6836 projected NAD83(CORS96) / Oregon Ontario zone (m) -117.9,43.41,-116.7,44.65 1133 +proj=tmerc +lat_0=43.25 +lon_0=-117 +k=1.0001 +x_0=80000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6837 projected NAD83(CORS96) / Oregon Ontario zone (ft) -117.9,43.41,-116.7,44.65 1133 +proj=tmerc +lat_0=43.25 +lon_0=-117 +k=1.0001 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6838 projected NAD83(2011) / Oregon Ontario zone (m) -117.9,43.41,-116.7,44.65 2 1116 +proj=tmerc +lat_0=43.25 +lon_0=-117 +k=1.0001 +x_0=80000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6839 projected NAD83(2011) / Oregon Ontario zone (ft) -117.9,43.41,-116.7,44.65 2 1116 +proj=tmerc +lat_0=43.25 +lon_0=-117 +k=1.0001 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6840 projected NAD83(CORS96) / Oregon Coast zone (m) -124.84,41.89,-123.35,46.4 1133 +proj=omerc +no_uoff +lat_0=44.75 +lonc=-124.05 +alpha=5 +gamma=5 +k=1 +x_0=-300000 +y_0=-4600000 +ellps=GRS80 +units=m +no_defs +6841 projected NAD83(CORS96) / Oregon Coast zone (ft) -124.84,41.89,-123.35,46.4 1133 +proj=omerc +no_uoff +lat_0=44.75 +lonc=-124.05 +alpha=5 +gamma=5 +k=1 +x_0=-299999.9999988 +y_0=-4600000.00001208 +ellps=GRS80 +to_meter=0.3048 +no_defs +6842 projected NAD83(2011) / Oregon Coast zone (m) -124.84,41.89,-123.35,46.4 2 1116 +proj=omerc +no_uoff +lat_0=44.75 +lonc=-124.05 +alpha=5 +gamma=5 +k=1 +x_0=-300000 +y_0=-4600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6843 projected NAD83(2011) / Oregon Coast zone (ft) -124.84,41.89,-123.35,46.4 2 1116 +proj=omerc +no_uoff +lat_0=44.75 +lonc=-124.05 +alpha=5 +gamma=5 +k=1 +x_0=-299999.9999988 +y_0=-4600000.00001208 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6844 projected NAD83(CORS96) / Oregon Pendleton zone (m) -119.36,45.46,-118.17,46.02 1133 +proj=tmerc +lat_0=45.25 +lon_0=-119.166666666667 +k=1.000045 +x_0=60000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6845 projected NAD83(CORS96) / Oregon Pendleton zone (ft) -119.36,45.46,-118.17,46.02 1133 +proj=tmerc +lat_0=45.25 +lon_0=-119.166666666667 +k=1.000045 +x_0=59999.99999976 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6846 projected NAD83(2011) / Oregon Pendleton zone (m) -119.36,45.46,-118.17,46.02 2 1116 +proj=tmerc +lat_0=45.25 +lon_0=-119.166666666667 +k=1.000045 +x_0=60000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6847 projected NAD83(2011) / Oregon Pendleton zone (ft) -119.36,45.46,-118.17,46.02 2 1116 +proj=tmerc +lat_0=45.25 +lon_0=-119.166666666667 +k=1.000045 +x_0=59999.99999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6848 projected NAD83(CORS96) / Oregon Pendleton-La Grande zone (m) -118.64,45.13,-118.09,45.64 1133 +proj=tmerc +lat_0=45.0833333333333 +lon_0=-118.333333333333 +k=1.000175 +x_0=30000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6849 projected NAD83(CORS96) / Oregon Pendleton-La Grande zone (ft) -118.64,45.13,-118.09,45.64 1133 +proj=tmerc +lat_0=45.0833333333333 +lon_0=-118.333333333333 +k=1.000175 +x_0=30000.00001512 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6850 projected NAD83(2011) / Oregon Pendleton-La Grande zone (m) -118.64,45.13,-118.09,45.64 2 1116 +proj=tmerc +lat_0=45.0833333333333 +lon_0=-118.333333333333 +k=1.000175 +x_0=30000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6851 projected NAD83(2011) / Oregon Pendleton-La Grande zone (ft) -118.64,45.13,-118.09,45.64 2 1116 +proj=tmerc +lat_0=45.0833333333333 +lon_0=-118.333333333333 +k=1.000175 +x_0=30000.00001512 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6852 projected NAD83(CORS96) / Oregon Portland zone (m) -123.53,45.23,-122.11,46.01 1133 +proj=lcc +lat_1=45.5 +lat_0=45.5 +lon_0=-122.75 +k_0=1.000002 +x_0=100000 +y_0=50000 +ellps=GRS80 +units=m +no_defs +6853 projected NAD83(CORS96) / Oregon Portland zone (ft) -123.53,45.23,-122.11,46.01 1133 +proj=lcc +lat_1=45.5 +lat_0=45.5 +lon_0=-122.75 +k_0=1.000002 +x_0=99999.9999996 +y_0=50000.00001504 +ellps=GRS80 +to_meter=0.3048 +no_defs +6854 projected NAD83(2011) / Oregon Portland zone (m) -123.53,45.23,-122.11,46.01 2 1116 +proj=lcc +lat_1=45.5 +lat_0=45.5 +lon_0=-122.75 +k_0=1.000002 +x_0=100000 +y_0=50000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6855 projected NAD83(2011) / Oregon Portland zone (ft) -123.53,45.23,-122.11,46.01 2 1116 +proj=lcc +lat_1=45.5 +lat_0=45.5 +lon_0=-122.75 +k_0=1.000002 +x_0=99999.9999996 +y_0=50000.00001504 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6856 projected NAD83(CORS96) / Oregon Salem zone (m) -123.73,44.32,-121.89,45.3 1133 +proj=tmerc +lat_0=44.3333333333333 +lon_0=-123.083333333333 +k=1.00001 +x_0=50000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6857 projected NAD83(CORS96) / Oregon Salem zone (ft) -123.73,44.32,-121.89,45.3 1133 +proj=tmerc +lat_0=44.3333333333333 +lon_0=-123.083333333333 +k=1.00001 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6858 projected NAD83(2011) / Oregon Salem zone (m) -123.73,44.32,-121.89,45.3 2 1116 +proj=tmerc +lat_0=44.3333333333333 +lon_0=-123.083333333333 +k=1.00001 +x_0=50000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6859 projected NAD83(2011) / Oregon Salem zone (ft) -123.73,44.32,-121.89,45.3 2 1116 +proj=tmerc +lat_0=44.3333333333333 +lon_0=-123.083333333333 +k=1.00001 +x_0=50000.00001504 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6860 projected NAD83(CORS96) / Oregon Santiam Pass zone (m) -122.51,44.1,-121.69,44.66 1133 +proj=tmerc +lat_0=44.0833333333333 +lon_0=-122.5 +k=1.000155 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +6861 projected NAD83(CORS96) / Oregon Santiam Pass zone (ft) -122.51,44.1,-121.69,44.66 1133 +proj=tmerc +lat_0=44.0833333333333 +lon_0=-122.5 +k=1.000155 +x_0=0 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6862 projected NAD83(2011) / Oregon Santiam Pass zone (m) -122.51,44.1,-121.69,44.66 2 1116 +proj=tmerc +lat_0=44.0833333333333 +lon_0=-122.5 +k=1.000155 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6863 projected NAD83(2011) / Oregon Santiam Pass zone (ft) -122.51,44.1,-121.69,44.66 2 1116 +proj=tmerc +lat_0=44.0833333333333 +lon_0=-122.5 +k=1.000155 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +6867 projected NAD83(CORS96) / Oregon LCC (m) -124.6,41.98,-116.47,46.26 1133 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6868 projected NAD83(CORS96) / Oregon GIC Lambert (ft) -124.6,41.98,-116.47,46.26 1133 +proj=lcc +lat_0=41.75 +lon_0=-120.5 +lat_1=43 +lat_2=45.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6870 projected ETRS89 / Albania TM 2010 19.22,39.64,21.06,42.67 1 6258 +proj=tmerc +lat_0=0 +lon_0=20 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6875 projected RDN2008 / Italy zone (N-E) 5.93,34.76,18.99,47.1 1 1132 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9985 +x_0=7000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6876 projected RDN2008 / Zone 12 (N-E) 5.93,34.76,18.99,47.1 1 1132 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=3000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6879 projected NAD83(2011) / Wisconsin Central -92.89,43.98,-86.25,45.8 2 1116 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6880 projected NAD83(2011) / Nebraska (ftUS) -104.06,39.99,-95.3,43.01 2 1116 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6881 geographic Aden 1925 43.37,12.54,53.14,19 1135 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-24,-203,268 +no_defs +6882 geographic Bekaa Valley 1920 35.04,33.06,36.63,34.65 1137 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-183,-15,273 +no_defs +6883 geographic Bioko 8.37,3.14,9.02,3.82 42 1136 +proj=longlat +ellps=intl +towgs84=-235,-110,393 +no_defs +6884 projected NAD83(CORS96) / Oregon North -124.17,43.95,-116.47,46.26 1133 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6885 projected NAD83(CORS96) / Oregon North (ft) -124.17,43.95,-116.47,46.26 1133 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6886 projected NAD83(CORS96) / Oregon South -124.6,41.98,-116.9,44.56 1133 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +6887 projected NAD83(CORS96) / Oregon South (ft) -124.6,41.98,-116.9,44.56 1133 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +to_meter=0.3048 +no_defs +6892 geographic South East Island 1943 55.15,-4.86,56.01,-3.66 1 1138 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-76.269,-16.683,68.562,-6.275,10.536,-4.286,-13.686 +no_defs +6894 geographic Gambia -16.88,13.05,-13.79,13.83 43 1139 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-63,176,185 +no_defs +6915 projected South East Island 1943 / UTM zone 40N 55.15,-4.86,56.01,-3.66 1 1138 +proj=utm +zone=40 +a=6378249.145 +rf=293.465 +towgs84=-76.269,-16.683,68.562,-6.275,10.536,-4.286,-13.686 +units=m +no_defs +6922 projected NAD83 / Kansas LCC -102.06,36.99,-94.58,40.01 4 6269 +proj=lcc +lat_0=36 +lon_0=-98.25 +lat_1=39.5 +lat_2=37.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6923 projected NAD83 / Kansas LCC (ftUS) -102.06,36.99,-94.58,40.01 4 6269 +proj=lcc +lat_0=36 +lon_0=-98.25 +lat_1=39.5 +lat_2=37.5 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6924 projected NAD83(2011) / Kansas LCC -102.06,36.99,-94.58,40.01 2 1116 +proj=lcc +lat_0=36 +lon_0=-98.25 +lat_1=39.5 +lat_2=37.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6925 projected NAD83(2011) / Kansas LCC (ftUS) -102.06,36.99,-94.58,40.01 2 1116 +proj=lcc +lat_0=36 +lon_0=-98.25 +lat_1=39.5 +lat_2=37.5 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +6931 projected WGS 84 / NSIDC EASE-Grid 2.0 North -180,0,180,90 6326 +proj=laea +lat_0=90 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +6932 projected WGS 84 / NSIDC EASE-Grid 2.0 South -180,-90,180,0 6326 +proj=laea +lat_0=-90 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +6933 projected WGS 84 / NSIDC EASE-Grid 2.0 Global -180,-86,180,86 6326 +proj=cea +lat_ts=30 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +6962 projected ETRS89 / Albania LCC 2010 19.22,39.64,21.06,42.67 1 6258 +proj=lcc +lat_0=41 +lon_0=20 +lat_1=39 +lat_2=43 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +6966 projected NAD27 / Michigan North -90.42,45.08,-83.44,48.32 10 6267 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=45.4833333333333 +lat_2=47.0833333333333 +x_0=609601.219202438 +y_0=0 +k_0=1.0000382 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +6983 geographic IG05 Intermediate CRS 34.17,29.45,35.69,33.28 1142 +proj=longlat +ellps=GRS80 +no_defs +6984 projected Israeli Grid 05 34.17,29.45,35.69,33.28 1142 +proj=tmerc +lat_0=31.7343936111111 +lon_0=35.2045169444444 +k=1.0000067 +x_0=219529.584 +y_0=626907.39 +ellps=GRS80 +units=m +no_defs +6990 geographic IG05/12 Intermediate CRS 34.17,29.45,35.69,33.28 0.1 1144 +proj=longlat +ellps=GRS80 +towgs84=23.772,17.49,17.859,-0.3132,-1.85274,1.67299,-5.4262 +no_defs +6991 projected Israeli Grid 05/12 34.17,29.45,35.69,33.28 0.1 1144 +proj=tmerc +lat_0=31.7343936111111 +lon_0=35.2045169444444 +k=1.0000067 +x_0=219529.584 +y_0=626907.39 +ellps=GRS80 +towgs84=23.772,17.49,17.859,-0.3132,-1.85274,1.67299,-5.4262 +units=m +no_defs +7005 projected Nahrwan 1934 / UTM zone 37N 38.79,31.14,42,36.75 30 6744 +proj=utm +zone=37 +a=6378249.145 +rf=293.465 +towgs84=-242.2,-144.9,370.3 +units=m +no_defs +7006 projected Nahrwan 1934 / UTM zone 38N 42,29.06,48,37.39 30 6744 +proj=utm +zone=38 +a=6378249.145 +rf=293.465 +towgs84=-242.2,-144.9,370.3 +units=m +no_defs +7007 projected Nahrwan 1934 / UTM zone 39N 48,29.6,48.75,31 30 6744 +proj=utm +zone=39 +a=6378249.145 +rf=293.465 +towgs84=-242.2,-144.9,370.3 +units=m +no_defs +7035 geographic RGSPM06 (lon-lat) -57.1,43.41,-55.9,47.37 1 1038 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7037 geographic RGR92 (lon-lat) 51.83,-24.72,58.24,-18.28 1 6627 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7039 geographic RGM04 (lon-lat) 43.68,-14.49,46.7,-11.33 1 1036 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7041 geographic RGFG95 (lon-lat) -54.61,2.11,-49.45,8.88 1 6624 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7057 projected NAD83(2011) / IaRCS zone 1 -96.6,42.9,-93.97,43.51 2 1116 +proj=lcc +lat_1=43.2 +lat_0=43.2 +lon_0=-95.25 +k_0=1.000052 +x_0=3505207.01041402 +y_0=2926085.8521717 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7058 projected NAD83(2011) / IaRCS zone 2 -93.98,42.9,-91.6,43.51 2 1116 +proj=lcc +lat_1=43.1666666666667 +lat_0=43.1666666666667 +lon_0=-92.75 +k_0=1.000043 +x_0=3810007.62001524 +y_0=2987045.97409195 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7059 projected NAD83(2011) / IaRCS zone 3 -91.62,42.29,-90.89,43.51 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-91.2 +k=1.000035 +x_0=4114808.22961646 +y_0=2529845.05969012 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7060 projected NAD83(2011) / IaRCS zone 4 -96.65,42.2,-93,42.92 2 1116 +proj=lcc +lat_1=42.5333333333333 +lat_0=42.5333333333333 +lon_0=-94.8333333333333 +k_0=1.000045 +x_0=4419608.83921768 +y_0=2621285.24257049 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7061 projected NAD83(2011) / IaRCS zone 5 -93.03,42.2,-91.59,43.09 2 1116 +proj=lcc +lat_1=42.65 +lat_0=42.65 +lon_0=-92.25 +k_0=1.000032 +x_0=4724409.4488189 +y_0=2712725.42545085 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7062 projected NAD83(2011) / IaRCS zone 6 -96.37,40.58,-95.04,42.22 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-95.7333333333333 +k=1.000039 +x_0=5029210.05842012 +y_0=2011684.02336805 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7063 projected NAD83(2011) / IaRCS zone 7 -95.16,41.15,-94.16,42.22 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-94.6333333333333 +k=1.000045 +x_0=5334010.66802134 +y_0=2072644.14528829 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7064 projected NAD83(2011) / IaRCS zone 8 -94.29,41.15,-93.23,42.22 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-93.7166666666667 +k=1.000033 +x_0=5638811.27762256 +y_0=2133604.26720853 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7065 projected NAD83(2011) / IaRCS zone 9 -93.35,41.16,-92.29,42.3 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-92.8166666666667 +k=1.000027 +x_0=5943611.88722378 +y_0=2194564.38912878 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7066 projected NAD83(2011) / IaRCS zone 10 -92.31,41.42,-90.89,42.3 2 1116 +proj=lcc +lat_1=41.8333333333333 +lat_0=41.8333333333333 +lon_0=-91.6666666666667 +k_0=1.00002 +x_0=6248412.49682499 +y_0=2438404.87680975 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7067 projected NAD83(2011) / IaRCS zone 11 -91.14,41.44,-90.14,42.68 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-90.5333333333333 +k=1.000027 +x_0=6553213.10642621 +y_0=2316484.63296927 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7068 projected NAD83(2011) / IaRCS zone 12 -95.39,40.57,-92.17,41.17 2 1116 +proj=lcc +lat_1=40.9166666666667 +lat_0=40.9166666666667 +lon_0=-93.75 +k_0=1.000037 +x_0=6858013.71602743 +y_0=1889763.77952756 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7069 projected NAD83(2011) / IaRCS zone 13 -92.42,40.59,-91.48,41.52 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-91.9166666666667 +k=1.00002 +x_0=7162814.32562865 +y_0=1950723.9014478 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7070 projected NAD83(2011) / IaRCS zone 14 -91.72,40.36,-90.78,41.6 2 1116 +proj=tmerc +lat_0=40.25 +lon_0=-91.25 +k=1.000018 +x_0=7467614.93522987 +y_0=1889763.77952756 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7073 geographic RGTAAF07 37.98,-67.13,142,-20.91 1 1113 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7074 projected RGTAAF07 / UTM zone 37S 37.98,-25.7,41.82,-20.91 1 1113 +proj=utm +zone=37 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7075 projected RGTAAF07 / UTM zone 38S 45.37,-49.38,48.01,-43.12 1 1113 +proj=utm +zone=38 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7076 projected RGTAAF07 / UTM zone 39S 48,-49.82,54.01,-42.61 1 1113 +proj=utm +zone=39 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7077 projected RGTAAF07 / UTM zone 40S 54,-49.61,57.16,-43.3 1 1113 +proj=utm +zone=40 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7078 projected RGTAAF07 / UTM zone 41S 62.96,-53.03,66,-45.73 1 1113 +proj=utm +zone=41 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7079 projected RGTAAF07 / UTM zone 42S 66,-53.24,72.01,-45.11 1 1113 +proj=utm +zone=42 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7080 projected RGTAAF07 / UTM zone 43S 72,-51.19,78.01,-34.47 1 1113 +proj=utm +zone=43 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7081 projected RGTAAF07 / UTM zone 44S 78,-42.04,81.83,-34.5 1 1113 +proj=utm +zone=44 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7084 geographic RGF93 v1 (lon-lat) -9.86,41.15,10.38,51.56 1 6171 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7086 geographic RGAF09 (lon-lat) -63.66,14.08,-57.52,18.54 1 1073 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7109 projected NAD83(2011) / RMTCRS St Mary (m) -113.97,48.55,-113,49.01 2 1116 +proj=tmerc +lat_0=48.5 +lon_0=-112.5 +k=1.00016 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7110 projected NAD83(2011) / RMTCRS Blackfeet (m) -113.84,48,-112,49.01 2 1116 +proj=tmerc +lat_0=48 +lon_0=-112.5 +k=1.00019 +x_0=100000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7111 projected NAD83(2011) / RMTCRS Milk River (m) -112.5,47.78,-108.74,49.01 2 1116 +proj=lcc +lat_1=48.5 +lat_0=48.5 +lon_0=-111 +k_0=1.000145 +x_0=150000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7112 projected NAD83(2011) / RMTCRS Fort Belknap (m) -110.84,47.78,-106.99,49.01 2 1116 +proj=lcc +lat_1=48.5 +lat_0=48.5 +lon_0=-108.5 +k_0=1.00012 +x_0=200000 +y_0=150000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7113 projected NAD83(2011) / RMTCRS Fort Peck Assiniboine (m) -107.57,48.01,-104.78,48.88 2 1116 +proj=lcc +lat_1=48.3333333333333 +lat_0=48.3333333333333 +lon_0=-105.5 +k_0=1.00012 +x_0=200000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7114 projected NAD83(2011) / RMTCRS Fort Peck Sioux (m) -107.76,47.75,-104.04,49.01 2 1116 +proj=lcc +lat_1=48.3333333333333 +lat_0=48.3333333333333 +lon_0=-105.5 +k_0=1.00009 +x_0=100000 +y_0=50000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7115 projected NAD83(2011) / RMTCRS Crow (m) -108.84,44.99,-106.66,46.09 2 1116 +proj=tmerc +lat_0=44.75 +lon_0=-107.75 +k=1.000148 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7116 projected NAD83(2011) / RMTCRS Bobcat (m) -112.34,45.36,-110.75,46.59 2 1116 +proj=lcc +lat_1=46.25 +lat_0=46.25 +lon_0=-111.25 +k_0=1.000185 +x_0=100000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7117 projected NAD83(2011) / RMTCRS Billings (m) -109.42,44.99,-107.99,47.41 2 1116 +proj=lcc +lat_1=45.7833333333333 +lat_0=45.7833333333333 +lon_0=-108.416666666667 +k_0=1.0001515 +x_0=200000 +y_0=50000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7118 projected NAD83(2011) / RMTCRS Wind River (m) -109.5,42.69,-107.94,43.86 2 1116 +proj=tmerc +lat_0=42.6666666666667 +lon_0=-108.333333333333 +k=1.00024 +x_0=100000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7119 projected NAD83(2011) / RMTCRS St Mary (ft) -113.97,48.55,-113,49.01 2 1116 +proj=tmerc +lat_0=48.5 +lon_0=-112.5 +k=1.00016 +x_0=150000.00001464 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7120 projected NAD83(2011) / RMTCRS Blackfeet (ft) -113.84,48,-112,49.01 2 1116 +proj=tmerc +lat_0=48 +lon_0=-112.5 +k=1.00019 +x_0=99999.9999996 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7121 projected NAD83(2011) / RMTCRS Milk River (ft) -112.5,47.78,-108.74,49.01 2 1116 +proj=lcc +lat_1=48.5 +lat_0=48.5 +lon_0=-111 +k_0=1.000145 +x_0=150000.00001464 +y_0=199999.9999992 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7122 projected NAD83(2011) / RMTCRS Fort Belknap (ft) -110.84,47.78,-106.99,49.01 2 1116 +proj=lcc +lat_1=48.5 +lat_0=48.5 +lon_0=-108.5 +k_0=1.00012 +x_0=199999.9999992 +y_0=150000.00001464 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7123 projected NAD83(2011) / RMTCRS Fort Peck Assiniboine (ft) -107.57,48.01,-104.78,48.88 2 1116 +proj=lcc +lat_1=48.3333333333333 +lat_0=48.3333333333333 +lon_0=-105.5 +k_0=1.00012 +x_0=199999.9999992 +y_0=99999.9999996 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7124 projected NAD83(2011) / RMTCRS Fort Peck Sioux (ft) -107.76,47.75,-104.04,49.01 2 1116 +proj=lcc +lat_1=48.3333333333333 +lat_0=48.3333333333333 +lon_0=-105.5 +k_0=1.00009 +x_0=99999.9999996 +y_0=49999.99971024 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7125 projected NAD83(2011) / RMTCRS Crow (ft) -108.84,44.99,-106.66,46.09 2 1116 +proj=tmerc +lat_0=44.75 +lon_0=-107.75 +k=1.000148 +x_0=199999.9999992 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7126 projected NAD83(2011) / RMTCRS Bobcat (ft) -112.34,45.36,-110.75,46.59 2 1116 +proj=lcc +lat_1=46.25 +lat_0=46.25 +lon_0=-111.25 +k_0=1.000185 +x_0=99999.9999996 +y_0=99999.9999996 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7127 projected NAD83(2011) / RMTCRS Billings (ft) -109.42,44.99,-107.99,47.41 2 1116 +proj=lcc +lat_1=45.7833333333333 +lat_0=45.7833333333333 +lon_0=-108.416666666667 +k_0=1.0001515 +x_0=199999.9999992 +y_0=50000.00001504 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +7128 projected NAD83(2011) / RMTCRS Wind River (ftUS) -109.5,42.69,-107.94,43.86 2 1116 +proj=tmerc +lat_0=42.6666666666667 +lon_0=-108.333333333333 +k=1.00024 +x_0=99999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7131 projected NAD83(2011) / San Francisco CS13 -123.56,36.85,-121.2,38.87 2 1116 +proj=tmerc +lat_0=37.75 +lon_0=-122.45 +k=1.000007 +x_0=48000 +y_0=24000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7132 projected NAD83(2011) / San Francisco CS13 (ftUS) -123.56,36.85,-121.2,38.87 2 1116 +proj=tmerc +lat_0=37.75 +lon_0=-122.45 +k=1.000007 +x_0=48000 +y_0=24000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7133 geographic RGTAAF07 (lon-lat) 37.98,-67.13,142,-20.91 1 1113 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7136 geographic IGD05 32.99,29.45,35.69,33.53 1114 +proj=longlat +ellps=WGS84 +no_defs +7139 geographic IGD05/12 32.99,29.45,35.69,33.53 1115 +proj=longlat +ellps=WGS84 +no_defs +7142 projected Palestine 1923 / Palestine Grid modified 34.17,29.18,39.31,33.38 2 6281 +proj=tmerc +lat_0=31.7340969444444 +lon_0=35.2120805555556 +k=1 +x_0=170251.555 +y_0=126867.909 +a=6378300.789 +b=6356566.435 +towgs84=-275.7224,94.7824,340.8944,-8.001,-4.42,-11.821,1 +units=m +no_defs +7257 projected NAD83(2011) / InGCS Adams (m) -85.08,40.56,-84.8,40.93 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-84.95 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7258 projected NAD83(2011) / InGCS Adams (ftUS) -85.08,40.56,-84.8,40.93 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-84.95 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7259 projected NAD83(2011) / InGCS Allen (m) -85.34,40.91,-84.8,41.28 2 1116 +proj=tmerc +lat_0=40.9 +lon_0=-85.05 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7260 projected NAD83(2011) / InGCS Allen (ftUS) -85.34,40.91,-84.8,41.28 2 1116 +proj=tmerc +lat_0=40.9 +lon_0=-85.05 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7261 projected NAD83(2011) / InGCS Bartholomew (m) -86.09,39.03,-85.68,39.36 2 1116 +proj=tmerc +lat_0=39 +lon_0=-85.85 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7262 projected NAD83(2011) / InGCS Bartholomew (ftUS) -86.09,39.03,-85.68,39.36 2 1116 +proj=tmerc +lat_0=39 +lon_0=-85.85 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7263 projected NAD83(2011) / InGCS Benton (m) -87.53,40.47,-87.09,40.74 2 1116 +proj=tmerc +lat_0=40.45 +lon_0=-87.3 +k=1.000029 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7264 projected NAD83(2011) / InGCS Benton (ftUS) -87.53,40.47,-87.09,40.74 2 1116 +proj=tmerc +lat_0=40.45 +lon_0=-87.3 +k=1.000029 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7265 projected NAD83(2011) / InGCS Blackford-Delaware (m) -85.58,40.07,-85.2,40.57 2 1116 +proj=tmerc +lat_0=40.05 +lon_0=-85.4 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7266 projected NAD83(2011) / InGCS Blackford-Delaware (ftUS) -85.58,40.07,-85.2,40.57 2 1116 +proj=tmerc +lat_0=40.05 +lon_0=-85.4 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7267 projected NAD83(2011) / InGCS Boone-Hendricks (m) -86.7,39.6,-86.24,40.19 2 1116 +proj=tmerc +lat_0=39.6 +lon_0=-86.5 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7268 projected NAD83(2011) / InGCS Boone-Hendricks (ftUS) -86.7,39.6,-86.24,40.19 2 1116 +proj=tmerc +lat_0=39.6 +lon_0=-86.5 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7269 projected NAD83(2011) / InGCS Brown (m) -86.39,39.04,-86.07,39.35 2 1116 +proj=tmerc +lat_0=39 +lon_0=-86.3 +k=1.00003 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7270 projected NAD83(2011) / InGCS Brown (ftUS) -86.39,39.04,-86.07,39.35 2 1116 +proj=tmerc +lat_0=39 +lon_0=-86.3 +k=1.00003 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7271 projected NAD83(2011) / InGCS Carroll (m) -86.78,40.43,-86.37,40.74 2 1116 +proj=tmerc +lat_0=40.4 +lon_0=-86.65 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7272 projected NAD83(2011) / InGCS Carroll (ftUS) -86.78,40.43,-86.37,40.74 2 1116 +proj=tmerc +lat_0=40.4 +lon_0=-86.65 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7273 projected NAD83(2011) / InGCS Cass (m) -86.59,40.56,-86.16,40.92 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-86.4 +k=1.000028 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7274 projected NAD83(2011) / InGCS Cass (ftUS) -86.59,40.56,-86.16,40.92 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-86.4 +k=1.000028 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7275 projected NAD83(2011) / InGCS Clark-Floyd-Scott (m) -86.04,38.17,-85.41,38.84 2 1116 +proj=tmerc +lat_0=38.15 +lon_0=-85.6 +k=1.000021 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7276 projected NAD83(2011) / InGCS Clark-Floyd-Scott (ftUS) -86.04,38.17,-85.41,38.84 2 1116 +proj=tmerc +lat_0=38.15 +lon_0=-85.6 +k=1.000021 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7277 projected NAD83(2011) / InGCS Clay (m) -87.25,39.16,-86.93,39.61 2 1116 +proj=tmerc +lat_0=39.15 +lon_0=-87.15 +k=1.000024 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7278 projected NAD83(2011) / InGCS Clay (ftUS) -87.25,39.16,-86.93,39.61 2 1116 +proj=tmerc +lat_0=39.15 +lon_0=-87.15 +k=1.000024 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7279 projected NAD83(2011) / InGCS Clinton (m) -86.7,40.17,-86.24,40.44 2 1116 +proj=tmerc +lat_0=40.15 +lon_0=-86.6 +k=1.000032 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7280 projected NAD83(2011) / InGCS Clinton (ftUS) -86.7,40.17,-86.24,40.44 2 1116 +proj=tmerc +lat_0=40.15 +lon_0=-86.6 +k=1.000032 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7281 projected NAD83(2011) / InGCS Crawford-Lawrence-Orange (m) -86.69,38.1,-86.24,39 2 1116 +proj=tmerc +lat_0=38.1 +lon_0=-86.5 +k=1.000025 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7282 projected NAD83(2011) / InGCS Crawford-Lawrence-Orange (ftUS) -86.69,38.1,-86.24,39 2 1116 +proj=tmerc +lat_0=38.1 +lon_0=-86.5 +k=1.000025 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7283 projected NAD83(2011) / InGCS Daviess-Greene (m) -87.28,38.49,-86.68,39.18 2 1116 +proj=tmerc +lat_0=38.45 +lon_0=-87.1 +k=1.000018 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7284 projected NAD83(2011) / InGCS Daviess-Greene (ftUS) -87.28,38.49,-86.68,39.18 2 1116 +proj=tmerc +lat_0=38.45 +lon_0=-87.1 +k=1.000018 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7285 projected NAD83(2011) / InGCS Dearborn-Ohio-Switzerland (m) -85.21,38.68,-84.78,39.31 2 1116 +proj=tmerc +lat_0=38.65 +lon_0=-84.9 +k=1.000029 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7286 projected NAD83(2011) / InGCS Dearborn-Ohio-Switzerland (ftUS) -85.21,38.68,-84.78,39.31 2 1116 +proj=tmerc +lat_0=38.65 +lon_0=-84.9 +k=1.000029 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7287 projected NAD83(2011) / InGCS Decatur-Rush (m) -85.69,39.13,-85.29,39.79 2 1116 +proj=tmerc +lat_0=39.1 +lon_0=-85.65 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7288 projected NAD83(2011) / InGCS Decatur-Rush (ftUS) -85.69,39.13,-85.29,39.79 2 1116 +proj=tmerc +lat_0=39.1 +lon_0=-85.65 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7289 projected NAD83(2011) / InGCS DeKalb (m) -85.2,41.26,-84.8,41.54 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-84.95 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7290 projected NAD83(2011) / InGCS DeKalb (ftUS) -85.2,41.26,-84.8,41.54 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-84.95 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7291 projected NAD83(2011) / InGCS Dubois-Martin (m) -87.08,38.2,-86.67,38.91 2 1116 +proj=tmerc +lat_0=38.2 +lon_0=-86.95 +k=1.00002 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7292 projected NAD83(2011) / InGCS Dubois-Martin (ftUS) -87.08,38.2,-86.67,38.91 2 1116 +proj=tmerc +lat_0=38.2 +lon_0=-86.95 +k=1.00002 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7293 projected NAD83(2011) / InGCS Elkhart-Kosciusko-Wabash (m) -86.08,40.65,-85.63,41.77 2 1116 +proj=tmerc +lat_0=40.65 +lon_0=-85.85 +k=1.000033 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7294 projected NAD83(2011) / InGCS Elkhart-Kosciusko-Wabash (ftUS) -86.08,40.65,-85.63,41.77 2 1116 +proj=tmerc +lat_0=40.65 +lon_0=-85.85 +k=1.000033 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7295 projected NAD83(2011) / InGCS Fayette-Franklin-Union (m) -85.31,39.26,-84.81,39.79 2 1116 +proj=tmerc +lat_0=39.25 +lon_0=-85.05 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7296 projected NAD83(2011) / InGCS Fayette-Franklin-Union (ftUS) -85.31,39.26,-84.81,39.79 2 1116 +proj=tmerc +lat_0=39.25 +lon_0=-85.05 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7297 projected NAD83(2011) / InGCS Fountain-Warren (m) -87.54,39.95,-87.09,40.48 2 1116 +proj=tmerc +lat_0=39.95 +lon_0=-87.3 +k=1.000025 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7298 projected NAD83(2011) / InGCS Fountain-Warren (ftUS) -87.54,39.95,-87.09,40.48 2 1116 +proj=tmerc +lat_0=39.95 +lon_0=-87.3 +k=1.000025 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7299 projected NAD83(2011) / InGCS Fulton-Marshall-St. Joseph (m) -86.53,40.9,-85.94,41.77 2 1116 +proj=tmerc +lat_0=40.9 +lon_0=-86.3 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7300 projected NAD83(2011) / InGCS Fulton-Marshall-St. Joseph (ftUS) -86.53,40.9,-85.94,41.77 2 1116 +proj=tmerc +lat_0=40.9 +lon_0=-86.3 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7301 projected NAD83(2011) / InGCS Gibson (m) -87.99,38.16,-87.31,38.54 2 1116 +proj=tmerc +lat_0=38.15 +lon_0=-87.65 +k=1.000013 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7302 projected NAD83(2011) / InGCS Gibson (ftUS) -87.99,38.16,-87.31,38.54 2 1116 +proj=tmerc +lat_0=38.15 +lon_0=-87.65 +k=1.000013 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7303 projected NAD83(2011) / InGCS Grant (m) -85.87,40.37,-85.44,40.66 2 1116 +proj=tmerc +lat_0=40.35 +lon_0=-85.7 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7304 projected NAD83(2011) / InGCS Grant (ftUS) -85.87,40.37,-85.44,40.66 2 1116 +proj=tmerc +lat_0=40.35 +lon_0=-85.7 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7305 projected NAD83(2011) / InGCS Hamilton-Tipton (m) -86.25,39.92,-85.86,40.41 2 1116 +proj=tmerc +lat_0=39.9 +lon_0=-86 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7306 projected NAD83(2011) / InGCS Hamilton-Tipton (ftUS) -86.25,39.92,-85.86,40.41 2 1116 +proj=tmerc +lat_0=39.9 +lon_0=-86 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7307 projected NAD83(2011) / InGCS Hancock-Madison (m) -85.96,39.69,-85.57,40.38 2 1116 +proj=tmerc +lat_0=39.65 +lon_0=-85.8 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7308 projected NAD83(2011) / InGCS Hancock-Madison (ftUS) -85.96,39.69,-85.57,40.38 2 1116 +proj=tmerc +lat_0=39.65 +lon_0=-85.8 +k=1.000036 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7309 projected NAD83(2011) / InGCS Harrison-Washington (m) -86.33,37.95,-85.84,38.79 2 1116 +proj=tmerc +lat_0=37.95 +lon_0=-86.15 +k=1.000027 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7310 projected NAD83(2011) / InGCS Harrison-Washington (ftUS) -86.33,37.95,-85.84,38.79 2 1116 +proj=tmerc +lat_0=37.95 +lon_0=-86.15 +k=1.000027 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7311 projected NAD83(2011) / InGCS Henry (m) -85.6,39.78,-85.2,40.08 2 1116 +proj=tmerc +lat_0=39.75 +lon_0=-85.45 +k=1.000043 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7312 projected NAD83(2011) / InGCS Henry (ftUS) -85.6,39.78,-85.2,40.08 2 1116 +proj=tmerc +lat_0=39.75 +lon_0=-85.45 +k=1.000043 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7313 projected NAD83(2011) / InGCS Howard-Miami (m) -86.38,40.37,-85.86,41 2 1116 +proj=tmerc +lat_0=40.35 +lon_0=-86.15 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7314 projected NAD83(2011) / InGCS Howard-Miami (ftUS) -86.38,40.37,-85.86,41 2 1116 +proj=tmerc +lat_0=40.35 +lon_0=-86.15 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7315 projected NAD83(2011) / InGCS Huntington-Whitley (m) -85.69,40.65,-85.3,41.3 2 1116 +proj=tmerc +lat_0=40.65 +lon_0=-85.5 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7316 projected NAD83(2011) / InGCS Huntington-Whitley (ftUS) -85.69,40.65,-85.3,41.3 2 1116 +proj=tmerc +lat_0=40.65 +lon_0=-85.5 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7317 projected NAD83(2011) / InGCS Jackson (m) -86.32,38.72,-85.79,39.08 2 1116 +proj=tmerc +lat_0=38.7 +lon_0=-85.95 +k=1.000022 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7318 projected NAD83(2011) / InGCS Jackson (ftUS) -86.32,38.72,-85.79,39.08 2 1116 +proj=tmerc +lat_0=38.7 +lon_0=-85.95 +k=1.000022 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7319 projected NAD83(2011) / InGCS Jasper-Porter (m) -87.28,40.73,-86.92,41.77 2 1116 +proj=tmerc +lat_0=40.7 +lon_0=-87.1 +k=1.000027 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7320 projected NAD83(2011) / InGCS Jasper-Porter (ftUS) -87.28,40.73,-86.92,41.77 2 1116 +proj=tmerc +lat_0=40.7 +lon_0=-87.1 +k=1.000027 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7321 projected NAD83(2011) / InGCS Jay (m) -85.22,40.3,-84.8,40.58 2 1116 +proj=tmerc +lat_0=40.3 +lon_0=-85 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7322 projected NAD83(2011) / InGCS Jay (ftUS) -85.22,40.3,-84.8,40.58 2 1116 +proj=tmerc +lat_0=40.3 +lon_0=-85 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7323 projected NAD83(2011) / InGCS Jefferson (m) -85.69,38.58,-85.2,38.92 2 1116 +proj=tmerc +lat_0=38.55 +lon_0=-85.35 +k=1.000028 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7324 projected NAD83(2011) / InGCS Jefferson (ftUS) -85.69,38.58,-85.2,38.92 2 1116 +proj=tmerc +lat_0=38.55 +lon_0=-85.35 +k=1.000028 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7325 projected NAD83(2011) / InGCS Jennings (m) -85.8,38.8,-85.43,39.2 2 1116 +proj=tmerc +lat_0=38.8 +lon_0=-85.8 +k=1.000025 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7326 projected NAD83(2011) / InGCS Jennings (ftUS) -85.8,38.8,-85.43,39.2 2 1116 +proj=tmerc +lat_0=38.8 +lon_0=-85.8 +k=1.000025 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7327 projected NAD83(2011) / InGCS Johnson-Marion (m) -86.33,39.34,-85.93,39.93 2 1116 +proj=tmerc +lat_0=39.3 +lon_0=-86.15 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7328 projected NAD83(2011) / InGCS Johnson-Marion (ftUS) -86.33,39.34,-85.93,39.93 2 1116 +proj=tmerc +lat_0=39.3 +lon_0=-86.15 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7329 projected NAD83(2011) / InGCS Knox (m) -87.76,38.41,-87.09,38.91 2 1116 +proj=tmerc +lat_0=38.4 +lon_0=-87.45 +k=1.000015 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7330 projected NAD83(2011) / InGCS Knox (ftUS) -87.76,38.41,-87.09,38.91 2 1116 +proj=tmerc +lat_0=38.4 +lon_0=-87.45 +k=1.000015 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7331 projected NAD83(2011) / InGCS LaGrange-Noble (m) -85.66,41.26,-85.19,41.77 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-85.45 +k=1.000037 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7332 projected NAD83(2011) / InGCS LaGrange-Noble (ftUS) -85.66,41.26,-85.19,41.77 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-85.45 +k=1.000037 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7333 projected NAD83(2011) / InGCS Lake-Newton (m) -87.53,40.73,-87.21,41.77 2 1116 +proj=tmerc +lat_0=40.7 +lon_0=-87.4 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7334 projected NAD83(2011) / InGCS Lake-Newton (ftUS) -87.53,40.73,-87.21,41.77 2 1116 +proj=tmerc +lat_0=40.7 +lon_0=-87.4 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7335 projected NAD83(2011) / InGCS LaPorte-Pulaski-Starke (m) -86.94,40.9,-86.46,41.77 2 1116 +proj=tmerc +lat_0=40.9 +lon_0=-86.75 +k=1.000027 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7336 projected NAD83(2011) / InGCS LaPorte-Pulaski-Starke (ftUS) -86.94,40.9,-86.46,41.77 2 1116 +proj=tmerc +lat_0=40.9 +lon_0=-86.75 +k=1.000027 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7337 projected NAD83(2011) / InGCS Monroe-Morgan (m) -86.69,38.99,-86.24,39.64 2 1116 +proj=tmerc +lat_0=38.95 +lon_0=-86.5 +k=1.000028 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7338 projected NAD83(2011) / InGCS Monroe-Morgan (ftUS) -86.69,38.99,-86.24,39.64 2 1116 +proj=tmerc +lat_0=38.95 +lon_0=-86.5 +k=1.000028 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7339 projected NAD83(2011) / InGCS Montgomery-Putnam (m) -87.1,39.47,-86.64,40.22 2 1116 +proj=tmerc +lat_0=39.45 +lon_0=-86.95 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7340 projected NAD83(2011) / InGCS Montgomery-Putnam (ftUS) -87.1,39.47,-86.64,40.22 2 1116 +proj=tmerc +lat_0=39.45 +lon_0=-86.95 +k=1.000031 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7341 projected NAD83(2011) / InGCS Owen (m) -87.06,39.16,-86.63,39.48 2 1116 +proj=tmerc +lat_0=39.15 +lon_0=-86.9 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7342 projected NAD83(2011) / InGCS Owen (ftUS) -87.06,39.16,-86.63,39.48 2 1116 +proj=tmerc +lat_0=39.15 +lon_0=-86.9 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7343 projected NAD83(2011) / InGCS Parke-Vermillion (m) -87.54,39.6,-87,40.15 2 1116 +proj=tmerc +lat_0=39.6 +lon_0=-87.35 +k=1.000022 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7344 projected NAD83(2011) / InGCS Parke-Vermillion (ftUS) -87.54,39.6,-87,40.15 2 1116 +proj=tmerc +lat_0=39.6 +lon_0=-87.35 +k=1.000022 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7345 projected NAD83(2011) / InGCS Perry (m) -86.82,37.84,-86.43,38.27 2 1116 +proj=tmerc +lat_0=37.8 +lon_0=-86.7 +k=1.00002 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7346 projected NAD83(2011) / InGCS Perry (ftUS) -86.82,37.84,-86.43,38.27 2 1116 +proj=tmerc +lat_0=37.8 +lon_0=-86.7 +k=1.00002 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7347 projected NAD83(2011) / InGCS Pike-Warrick (m) -87.48,37.87,-87.01,38.56 2 1116 +proj=tmerc +lat_0=37.85 +lon_0=-87.3 +k=1.000015 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7348 projected NAD83(2011) / InGCS Pike-Warrick (ftUS) -87.48,37.87,-87.01,38.56 2 1116 +proj=tmerc +lat_0=37.85 +lon_0=-87.3 +k=1.000015 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7349 projected NAD83(2011) / InGCS Posey (m) -88.1,37.77,-87.68,38.24 2 1116 +proj=tmerc +lat_0=37.75 +lon_0=-87.95 +k=1.000013 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7350 projected NAD83(2011) / InGCS Posey (ftUS) -88.1,37.77,-87.68,38.24 2 1116 +proj=tmerc +lat_0=37.75 +lon_0=-87.95 +k=1.000013 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7351 projected NAD83(2011) / InGCS Randolph-Wayne (m) -85.23,39.71,-84.8,40.32 2 1116 +proj=tmerc +lat_0=39.7 +lon_0=-85.05 +k=1.000044 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7352 projected NAD83(2011) / InGCS Randolph-Wayne (ftUS) -85.23,39.71,-84.8,40.32 2 1116 +proj=tmerc +lat_0=39.7 +lon_0=-85.05 +k=1.000044 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7353 projected NAD83(2011) / InGCS Ripley (m) -85.45,38.91,-85.06,39.32 2 1116 +proj=tmerc +lat_0=38.9 +lon_0=-85.3 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7354 projected NAD83(2011) / InGCS Ripley (ftUS) -85.45,38.91,-85.06,39.32 2 1116 +proj=tmerc +lat_0=38.9 +lon_0=-85.3 +k=1.000038 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7355 projected NAD83(2011) / InGCS Shelby (m) -85.96,39.34,-85.62,39.7 2 1116 +proj=tmerc +lat_0=39.3 +lon_0=-85.9 +k=1.00003 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7356 projected NAD83(2011) / InGCS Shelby (ftUS) -85.96,39.34,-85.62,39.7 2 1116 +proj=tmerc +lat_0=39.3 +lon_0=-85.9 +k=1.00003 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7357 projected NAD83(2011) / InGCS Spencer (m) -87.27,37.78,-86.76,38.21 2 1116 +proj=tmerc +lat_0=37.75 +lon_0=-87.05 +k=1.000014 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7358 projected NAD83(2011) / InGCS Spencer (ftUS) -87.27,37.78,-86.76,38.21 2 1116 +proj=tmerc +lat_0=37.75 +lon_0=-87.05 +k=1.000014 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7359 projected NAD83(2011) / InGCS Steuben (m) -85.2,41.52,-84.8,41.77 2 1116 +proj=tmerc +lat_0=41.5 +lon_0=-85 +k=1.000041 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7360 projected NAD83(2011) / InGCS Steuben (ftUS) -85.2,41.52,-84.8,41.77 2 1116 +proj=tmerc +lat_0=41.5 +lon_0=-85 +k=1.000041 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7361 projected NAD83(2011) / InGCS Sullivan (m) -87.66,38.9,-87.24,39.26 2 1116 +proj=tmerc +lat_0=38.9 +lon_0=-87.5 +k=1.000017 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7362 projected NAD83(2011) / InGCS Sullivan (ftUS) -87.66,38.9,-87.24,39.26 2 1116 +proj=tmerc +lat_0=38.9 +lon_0=-87.5 +k=1.000017 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7363 projected NAD83(2011) / InGCS Tippecanoe-White (m) -87.1,40.21,-86.58,40.92 2 1116 +proj=tmerc +lat_0=40.2 +lon_0=-86.9 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7364 projected NAD83(2011) / InGCS Tippecanoe-White (ftUS) -87.1,40.21,-86.58,40.92 2 1116 +proj=tmerc +lat_0=40.2 +lon_0=-86.9 +k=1.000026 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7365 projected NAD83(2011) / InGCS Vanderburgh (m) -87.71,37.82,-87.44,38.17 2 1116 +proj=tmerc +lat_0=37.8 +lon_0=-87.55 +k=1.000015 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7366 projected NAD83(2011) / InGCS Vanderburgh (ftUS) -87.71,37.82,-87.44,38.17 2 1116 +proj=tmerc +lat_0=37.8 +lon_0=-87.55 +k=1.000015 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7367 projected NAD83(2011) / InGCS Vigo (m) -87.63,39.25,-87.19,39.61 2 1116 +proj=tmerc +lat_0=39.25 +lon_0=-87.45 +k=1.00002 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7368 projected NAD83(2011) / InGCS Vigo (ftUS) -87.63,39.25,-87.19,39.61 2 1116 +proj=tmerc +lat_0=39.25 +lon_0=-87.45 +k=1.00002 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7369 projected NAD83(2011) / InGCS Wells (m) -85.45,40.56,-85.06,40.92 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-85.25 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7370 projected NAD83(2011) / InGCS Wells (ftUS) -85.45,40.56,-85.06,40.92 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-85.25 +k=1.000034 +x_0=240000 +y_0=36000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7373 geographic ONGD14 51.99,14.33,63.38,26.74 2 1147 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7374 projected ONGD14 / UTM zone 39N 51.99,14.94,54.01,19.67 2 1147 +proj=utm +zone=39 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7375 projected ONGD14 / UTM zone 40N 54,14.33,60.01,26.74 2 1147 +proj=utm +zone=40 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7376 projected ONGD14 / UTM zone 41N 60,16.37,63.38,24.09 2 1147 +proj=utm +zone=41 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7528 projected NAD83(2011) / WISCRS Adams and Juneau (m) -90.32,43.64,-89.59,44.25 2 1116 +proj=tmerc +lat_0=43.3666666666667 +lon_0=-90 +k=1.0000365285 +x_0=147218.6942 +y_0=0.0037 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7529 projected NAD83(2011) / WISCRS Ashland (m) -90.93,45.98,-90.3,47.09 2 1116 +proj=tmerc +lat_0=45.7061111111111 +lon_0=-90.6222222222222 +k=1.0000495683 +x_0=172821.9461 +y_0=0.0017 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7530 projected NAD83(2011) / WISCRS Barron (m) -92.16,45.2,-91.53,45.65 2 1116 +proj=tmerc +lat_0=45.1333333333333 +lon_0=-91.85 +k=1.0000486665 +x_0=93150 +y_0=0.0029 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7531 projected NAD83(2011) / WISCRS Bayfield (m) -91.56,46.15,-90.75,47.01 2 1116 +proj=lcc +lat_1=46.6696483772222 +lat_0=46.6696483772222 +lon_0=-91.1527777777778 +k_0=1.0000331195 +x_0=228600.4575 +y_0=148551.4837 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7532 projected NAD83(2011) / WISCRS Brown (m) -88.26,44.24,-87.76,44.68 2 1116 +proj=tmerc +lat_0=43 +lon_0=-88 +k=1.00002 +x_0=31600 +y_0=4600 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7533 projected NAD83(2011) / WISCRS Buffalo (m) -92.09,44.02,-91.52,44.6 2 1116 +proj=tmerc +lat_0=43.4813888888889 +lon_0=-91.7972222222222 +k=1.0000382778 +x_0=175260.3502 +y_0=0.0048 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7534 projected NAD83(2011) / WISCRS Burnett (m) -92.89,45.63,-92.03,46.16 2 1116 +proj=lcc +lat_1=45.8987148658333 +lat_0=45.8987148658333 +lon_0=-92.4577777777778 +k_0=1.0000383841 +x_0=64008.1276 +y_0=59445.9043 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7535 projected NAD83(2011) / WISCRS Calumet, Fond du Lac, Outagamie and Winnebago (m) -88.89,43.54,-88.04,44.6 2 1116 +proj=tmerc +lat_0=42.7194444444444 +lon_0=-88.5 +k=1.0000286569 +x_0=244754.8893 +y_0=0.0049 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7536 projected NAD83(2011) / WISCRS Chippewa (m) -91.67,44.85,-90.92,45.3 2 1116 +proj=lcc +lat_1=44.9778568986111 +lat_0=44.9778568986111 +lon_0=-91.2944444444444 +k_0=1.0000391127 +x_0=60045.72 +y_0=44091.4346 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7537 projected NAD83(2011) / WISCRS Clark (m) -90.93,44.42,-90.31,45.04 2 1116 +proj=tmerc +lat_0=43.6 +lon_0=-90.7083333333333 +k=1.0000463003 +x_0=199949.1989 +y_0=0.0086 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7538 projected NAD83(2011) / WISCRS Columbia (m) -89.79,43.28,-89,43.65 2 1116 +proj=lcc +lat_1=43.4625466458333 +lat_0=43.4625466458333 +lon_0=-89.3944444444444 +k_0=1.00003498 +x_0=169164.3381 +y_0=111569.6134 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7539 projected NAD83(2011) / WISCRS Crawford (m) -91.22,42.98,-90.66,43.43 2 1116 +proj=lcc +lat_1=43.200055605 +lat_0=43.200055605 +lon_0=-90.9388888888889 +k_0=1.0000349151 +x_0=113690.6274 +y_0=53703.1201 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7540 projected NAD83(2011) / WISCRS Dane (m) -89.84,42.84,-89,43.3 2 1116 +proj=lcc +lat_1=43.0695160375 +lat_0=43.0695160375 +lon_0=-89.4222222222222 +k_0=1.0000384786 +x_0=247193.2944 +y_0=146591.9896 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7541 projected NAD83(2011) / WISCRS Dodge and Jefferson (m) -89.02,42.84,-88.4,43.64 2 1116 +proj=tmerc +lat_0=41.4722222222222 +lon_0=-88.775 +k=1.0000346418 +x_0=263347.7263 +y_0=0.0076 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7542 projected NAD83(2011) / WISCRS Door (m) -87.74,44.67,-86.8,45.43 2 1116 +proj=tmerc +lat_0=44.4 +lon_0=-87.2722222222222 +k=1.0000187521 +x_0=158801.1176 +y_0=0.0023 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7543 projected NAD83(2011) / WISCRS Douglas (m) -92.3,46.15,-91.55,46.76 2 1116 +proj=tmerc +lat_0=45.8833333333333 +lon_0=-91.9166666666667 +k=1.0000385418 +x_0=59131.3183 +y_0=0.0041 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7544 projected NAD83(2011) / WISCRS Dunn (m) -92.16,44.68,-91.64,45.21 2 1116 +proj=tmerc +lat_0=44.4083333333333 +lon_0=-91.8944444444444 +k=1.0000410324 +x_0=51816.104 +y_0=0.003 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7545 projected NAD83(2011) / WISCRS Eau Claire (m) -91.66,44.59,-90.92,44.86 2 1116 +proj=lcc +lat_1=44.8722811263889 +lat_0=44.8722811263889 +lon_0=-91.2888888888889 +k_0=1.000035079 +x_0=120091.4402 +y_0=91687.9239 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7546 projected NAD83(2011) / WISCRS Florence (m) -88.69,45.71,-88.05,46.03 2 1116 +proj=tmerc +lat_0=45.4388888888889 +lon_0=-88.1416666666667 +k=1.0000552095 +x_0=133502.6683 +y_0=0.0063 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7547 projected NAD83(2011) / WISCRS Forest (m) -89.05,45.37,-88.42,46.08 2 1116 +proj=tmerc +lat_0=44.0055555555556 +lon_0=-88.6333333333333 +k=1.0000673004 +x_0=275844.5533 +y_0=0.0157 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7548 projected NAD83(2011) / WISCRS Grant (m) -91.16,42.5,-90.42,43.22 2 1116 +proj=tmerc +lat_0=41.4111111111111 +lon_0=-90.8 +k=1.0000349452 +x_0=242316.4841 +y_0=0.01 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7549 projected NAD83(2011) / WISCRS Green and Lafayette (m) -90.43,42.5,-89.36,42.86 2 1116 +proj=lcc +lat_1=42.6375622769444 +lat_0=42.6375622769444 +lon_0=-89.8388888888889 +k_0=1.0000390487 +x_0=170078.7403 +y_0=45830.2947 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7550 projected NAD83(2011) / WISCRS Green Lake and Marquette (m) -89.6,43.63,-88.88,43.99 2 1116 +proj=lcc +lat_1=43.8070001177778 +lat_0=43.8070001177778 +lon_0=-89.2416666666667 +k_0=1.0000344057 +x_0=150876.3018 +y_0=79170.7795 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7551 projected NAD83(2011) / WISCRS Iowa (m) -90.43,42.81,-89.83,43.21 2 1116 +proj=tmerc +lat_0=42.5388888888889 +lon_0=-90.1611111111111 +k=1.0000394961 +x_0=113081.0261 +y_0=0.0045 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7552 projected NAD83(2011) / WISCRS Iron (m) -90.56,45.98,-89.92,46.6 2 1116 +proj=tmerc +lat_0=45.4333333333333 +lon_0=-90.2555555555556 +k=1.0000677153 +x_0=220980.4419 +y_0=0.0085 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7553 projected NAD83(2011) / WISCRS Jackson (m) -91.17,44.07,-90.31,44.6 2 1116 +proj=tmerc +lat_0=44.2533351277778 +lon_0=-90.8442965194444 +k=1.0000353 +x_0=27000 +y_0=25000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7554 projected NAD83(2011) / WISCRS Kenosha, Milwaukee, Ozaukee and Racine (m) -88.31,42.49,-87.75,43.55 2 1116 +proj=tmerc +lat_0=42.2166666666667 +lon_0=-87.8944444444444 +k=1.0000260649 +x_0=185928.3728 +y_0=0.0009 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7555 projected NAD83(2011) / WISCRS Kewaunee, Manitowoc and Sheboygan (m) -88.17,43.54,-87.37,44.68 2 1116 +proj=tmerc +lat_0=43.2666666666667 +lon_0=-87.55 +k=1.0000233704 +x_0=79857.7614 +y_0=0.0012 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7556 projected NAD83(2011) / WISCRS La Crosse (m) -91.43,43.72,-90.91,44.1 2 1116 +proj=tmerc +lat_0=43.4511111111111 +lon_0=-91.3166666666667 +k=1.0000319985 +x_0=130454.6598 +y_0=0.0033 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7557 projected NAD83(2011) / WISCRS Langlade (m) -89.43,45.02,-88.63,45.48 2 1116 +proj=lcc +lat_1=45.1542371052778 +lat_0=45.1542371052778 +lon_0=-89.0333333333333 +k_0=1.0000627024 +x_0=198425.197 +y_0=105279.7829 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7558 projected NAD83(2011) / WISCRS Lincoln (m) -90.05,45.11,-89.42,45.56 2 1116 +proj=tmerc +lat_0=44.8444444444444 +lon_0=-89.7333333333333 +k=1.0000599003 +x_0=116129.0323 +y_0=0.0058 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7559 projected NAD83(2011) / WISCRS Marathon (m) -90.32,44.68,-89.22,45.13 2 1116 +proj=lcc +lat_1=44.9009044236111 +lat_0=44.9009044236111 +lon_0=-89.77 +k_0=1.000053289 +x_0=74676.1493 +y_0=55049.2669 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7560 projected NAD83(2011) / WISCRS Marinette (m) -88.43,44.96,-87.48,45.8 2 1116 +proj=tmerc +lat_0=44.6916666666667 +lon_0=-87.7111111111111 +k=1.0000234982 +x_0=238658.8794 +y_0=0.0032 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7561 projected NAD83(2011) / WISCRS Menominee (m) -88.99,44.85,-88.48,45.12 2 1116 +proj=tmerc +lat_0=44.7166666666667 +lon_0=-88.4166666666667 +k=1.0000362499 +x_0=105461.0121 +y_0=0.0029 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7562 projected NAD83(2011) / WISCRS Monroe (m) -90.98,43.72,-90.31,44.17 2 1116 +proj=lcc +lat_1=44.0000739286111 +lat_0=44.0000739286111 +lon_0=-90.6416666666667 +k_0=1.0000434122 +x_0=204521.209 +y_0=121923.9861 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7563 projected NAD83(2011) / WISCRS Oconto (m) -88.69,44.67,-87.76,45.38 2 1116 +proj=tmerc +lat_0=44.3972222222222 +lon_0=-87.9083333333333 +k=1.0000236869 +x_0=182880.3676 +y_0=0.0033 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7564 projected NAD83(2011) / WISCRS Oneida (m) -90.05,45.46,-89.04,45.91 2 1116 +proj=lcc +lat_1=45.7042237702778 +lat_0=45.7042237702778 +lon_0=-89.5444444444444 +k_0=1.0000686968 +x_0=70104.1401 +y_0=57588.0346 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7565 projected NAD83(2011) / WISCRS Pepin and Pierce (m) -92.81,44.4,-91.65,44.87 2 1116 +proj=lcc +lat_1=44.6361488719444 +lat_0=44.6361488719444 +lon_0=-92.2277777777778 +k_0=1.0000362977 +x_0=167640.3354 +y_0=86033.0876 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7566 projected NAD83(2011) / WISCRS Polk (m) -92.89,45.2,-92.15,45.73 2 1116 +proj=tmerc +lat_0=44.6611111111111 +lon_0=-92.6333333333333 +k=1.0000433849 +x_0=141732.2823 +y_0=0.0059 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7567 projected NAD83(2011) / WISCRS Portage (m) -89.85,44.24,-89.22,44.69 2 1116 +proj=lcc +lat_1=44.4168239752778 +lat_0=44.4168239752778 +lon_0=-89.5 +k_0=1.000039936 +x_0=56388.1128 +y_0=50022.1874 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7568 projected NAD83(2011) / WISCRS Price (m) -90.68,45.37,-90.04,45.99 2 1116 +proj=tmerc +lat_0=44.5555555555556 +lon_0=-90.4888888888889 +k=1.0000649554 +x_0=227990.8546 +y_0=0.0109 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7569 projected NAD83(2011) / WISCRS Richland (m) -90.68,43.16,-90.19,43.56 2 1116 +proj=lcc +lat_1=43.3223129275 +lat_0=43.3223129275 +lon_0=-90.4305555555556 +k_0=1.0000375653 +x_0=202387.6048 +y_0=134255.4253 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7570 projected NAD83(2011) / WISCRS Rock (m) -89.37,42.49,-88.77,42.85 2 1116 +proj=tmerc +lat_0=41.9444444444444 +lon_0=-89.0722222222222 +k=1.0000337311 +x_0=146304.2926 +y_0=0.0068 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7571 projected NAD83(2011) / WISCRS Rusk (m) -91.55,45.29,-90.67,45.64 2 1116 +proj=tmerc +lat_0=43.9194444444444 +lon_0=-91.0666666666667 +k=1.0000495976 +x_0=250546.1013 +y_0=0.0234 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7572 projected NAD83(2011) / WISCRS Sauk (m) -90.32,43.14,-89.59,43.65 2 1116 +proj=tmerc +lat_0=42.8194444444444 +lon_0=-89.9 +k=1.0000373868 +x_0=185623.5716 +y_0=0.0051 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7573 projected NAD83(2011) / WISCRS Sawyer (m) -91.56,45.63,-90.67,46.16 2 1116 +proj=lcc +lat_1=45.9000991313889 +lat_0=45.9000991313889 +lon_0=-91.1166666666667 +k_0=1.0000573461 +x_0=216713.2336 +y_0=120734.1631 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7574 projected NAD83(2011) / WISCRS Shawano (m) -89.23,44.58,-88.24,45.03 2 1116 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-88.6055555555556 +k=1.000032144 +x_0=262433.3253 +y_0=0.0096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7575 projected NAD83(2011) / WISCRS St. Croix (m) -92.81,44.85,-92.13,45.22 2 1116 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-92.6333333333333 +k=1.0000381803 +x_0=165506.7302 +y_0=0.0103 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7576 projected NAD83(2011) / WISCRS Taylor (m) -90.93,45.03,-90.04,45.39 2 1116 +proj=lcc +lat_1=45.1778220858333 +lat_0=45.1778220858333 +lon_0=-90.4833333333333 +k_0=1.0000597566 +x_0=187147.5744 +y_0=107746.7522 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7577 projected NAD83(2011) / WISCRS Trempealeau (m) -91.62,43.98,-91.15,44.6 2 1116 +proj=tmerc +lat_0=43.1611111111111 +lon_0=-91.3666666666667 +k=1.0000361538 +x_0=256946.9138 +y_0=0.0041 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7578 projected NAD83(2011) / WISCRS Vernon (m) -91.28,43.42,-90.31,43.74 2 1116 +proj=lcc +lat_1=43.5750329397222 +lat_0=43.5750329397222 +lon_0=-90.7833333333333 +k_0=1.0000408158 +x_0=222504.4451 +y_0=47532.0602 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7579 projected NAD83(2011) / WISCRS Vilas (m) -90.05,45.85,-88.93,46.3 2 1116 +proj=lcc +lat_1=46.0778440905556 +lat_0=46.0778440905556 +lon_0=-89.4888888888889 +k_0=1.0000730142 +x_0=134417.0689 +y_0=50337.1092 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7580 projected NAD83(2011) / WISCRS Walworth (m) -88.78,42.49,-88.3,42.85 2 1116 +proj=lcc +lat_1=42.6694620969444 +lat_0=42.6694620969444 +lon_0=-88.5416666666667 +k_0=1.0000367192 +x_0=232562.8651 +y_0=111088.2224 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7581 projected NAD83(2011) / WISCRS Washburn (m) -92.06,45.63,-91.54,46.16 2 1116 +proj=lcc +lat_1=45.9612198333333 +lat_0=45.9612198333333 +lon_0=-91.7833333333333 +k_0=1.0000475376 +x_0=234086.8682 +y_0=188358.6058 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7582 projected NAD83(2011) / WISCRS Washington (m) -88.42,43.19,-88.03,43.55 2 1116 +proj=tmerc +lat_0=42.9180555555556 +lon_0=-88.0638888888889 +k=1.00003738 +x_0=120091.4415 +y_0=0.003 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7583 projected NAD83(2011) / WISCRS Waukesha (m) -88.55,42.84,-88.06,43.2 2 1116 +proj=tmerc +lat_0=42.5694444444444 +lon_0=-88.225 +k=1.0000346179 +x_0=208788.418 +y_0=0.0034 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7584 projected NAD83(2011) / WISCRS Waupaca (m) -89.23,44.24,-88.6,44.69 2 1116 +proj=tmerc +lat_0=43.4202777777778 +lon_0=-88.8166666666667 +k=1.0000333645 +x_0=185013.9709 +y_0=0.007 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7585 projected NAD83(2011) / WISCRS Waushara (m) -89.6,43.98,-88.88,44.25 2 1116 +proj=lcc +lat_1=44.1139440458333 +lat_0=44.1139440458333 +lon_0=-89.2416666666667 +k_0=1.0000392096 +x_0=120091.4402 +y_0=45069.7587 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7586 projected NAD83(2011) / WISCRS Wood (m) -90.32,44.24,-89.72,44.69 2 1116 +proj=lcc +lat_1=44.3625954694444 +lat_0=44.3625954694444 +lon_0=-90 +k_0=1.0000421209 +x_0=208483.6173 +y_0=134589.754 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7587 projected NAD83(2011) / WISCRS Adams and Juneau (ftUS) -90.32,43.64,-89.59,44.25 2 1116 +proj=tmerc +lat_0=43.3666666666667 +lon_0=-90 +k=1.0000365285 +x_0=147218.694132588 +y_0=0.00365760731521463 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7588 projected NAD83(2011) / WISCRS Ashland (ftUS) -90.93,45.98,-90.3,47.09 2 1116 +proj=tmerc +lat_0=45.7061111111111 +lon_0=-90.6222222222222 +k=1.0000495683 +x_0=172821.945948692 +y_0=0.00182880365760732 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7589 projected NAD83(2011) / WISCRS Barron (ftUS) -92.16,45.2,-91.53,45.65 2 1116 +proj=tmerc +lat_0=45.1333333333333 +lon_0=-91.85 +k=1.0000486665 +x_0=93150 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7590 projected NAD83(2011) / WISCRS Bayfield (ftUS) -91.56,46.15,-90.75,47.01 2 1116 +proj=lcc +lat_1=46.6696483772222 +lat_0=46.6696483772222 +lon_0=-91.1527777777778 +k_0=1.0000331195 +x_0=228600.457505715 +y_0=148551.483566167 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7591 projected NAD83(2011) / WISCRS Brown (ftUS) -88.26,44.24,-87.76,44.68 2 1116 +proj=tmerc +lat_0=43 +lon_0=-88 +k=1.00002 +x_0=31599.9998983998 +y_0=4599.9998983998 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7592 projected NAD83(2011) / WISCRS Buffalo (ftUS) -92.09,44.02,-91.52,44.6 2 1116 +proj=tmerc +lat_0=43.4813888888889 +lon_0=-91.7972222222222 +k=1.0000382778 +x_0=175260.3502159 +y_0=0.00487680975361951 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7593 projected NAD83(2011) / WISCRS Burnett (ftUS) -92.89,45.63,-92.03,46.16 2 1116 +proj=lcc +lat_1=45.8987148658333 +lat_0=45.8987148658333 +lon_0=-92.4577777777778 +k_0=1.0000383841 +x_0=64008.1277114554 +y_0=59445.9041910084 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7594 projected NAD83(2011) / WISCRS Calumet, Fond du Lac, Outagamie and Winnebago (ftUS) -88.89,43.54,-88.04,44.6 2 1116 +proj=tmerc +lat_0=42.7194444444444 +lon_0=-88.5 +k=1.0000286569 +x_0=244754.889204978 +y_0=0.00487680975361951 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7595 projected NAD83(2011) / WISCRS Chippewa (ftUS) -91.67,44.85,-90.92,45.3 2 1116 +proj=lcc +lat_1=44.9778568986111 +lat_0=44.9778568986111 +lon_0=-91.2944444444444 +k_0=1.0000391127 +x_0=60045.7200914402 +y_0=44091.434493269 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7596 projected NAD83(2011) / WISCRS Clark (ftUS) -90.93,44.42,-90.31,45.04 2 1116 +proj=tmerc +lat_0=43.6 +lon_0=-90.7083333333333 +k=1.0000463003 +x_0=199949.198983998 +y_0=0.00853441706883414 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7597 projected NAD83(2011) / WISCRS Columbia (ftUS) -89.79,43.28,-89,43.65 2 1116 +proj=lcc +lat_1=43.4625466458333 +lat_0=43.4625466458333 +lon_0=-89.3944444444444 +k_0=1.00003498 +x_0=169164.338023876 +y_0=111569.613512827 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7598 projected NAD83(2011) / WISCRS Crawford (ftUS) -91.22,42.98,-90.66,43.43 2 1116 +proj=lcc +lat_1=43.200055605 +lat_0=43.200055605 +lon_0=-90.9388888888889 +k_0=1.0000349151 +x_0=113690.627381255 +y_0=53703.1202438405 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7599 projected NAD83(2011) / WISCRS Dane (ftUS) -89.84,42.84,-89,43.3 2 1116 +proj=lcc +lat_1=43.0695160375 +lat_0=43.0695160375 +lon_0=-89.4222222222222 +k_0=1.0000384786 +x_0=247193.294386589 +y_0=146591.989636779 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7600 projected NAD83(2011) / WISCRS Dodge and Jefferson (ftUS) -89.02,42.84,-88.4,43.64 2 1116 +proj=tmerc +lat_0=41.4722222222222 +lon_0=-88.775 +k=1.0000346418 +x_0=263347.726390653 +y_0=0.00762001524003048 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7601 projected NAD83(2011) / WISCRS Door (ftUS) -87.74,44.67,-86.8,45.43 2 1116 +proj=tmerc +lat_0=44.4 +lon_0=-87.2722222222222 +k=1.0000187521 +x_0=158801.117602235 +y_0=0.00243840487680975 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7602 projected NAD83(2011) / WISCRS Douglas (ftUS) -92.3,46.15,-91.55,46.76 2 1116 +proj=tmerc +lat_0=45.8833333333333 +lon_0=-91.9166666666667 +k=1.0000385418 +x_0=59131.3182626365 +y_0=0.00396240792481585 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7603 projected NAD83(2011) / WISCRS Dunn (ftUS) -92.16,44.68,-91.64,45.21 2 1116 +proj=tmerc +lat_0=44.4083333333333 +lon_0=-91.8944444444444 +k=1.0000410324 +x_0=51816.1039370079 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7604 projected NAD83(2011) / WISCRS Eau Claire (ftUS) -91.66,44.59,-90.92,44.86 2 1116 +proj=lcc +lat_1=44.8722811263889 +lat_0=44.8722811263889 +lon_0=-91.2888888888889 +k_0=1.000035079 +x_0=120091.44018288 +y_0=91687.9239014478 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7605 projected NAD83(2011) / WISCRS Florence (ftUS) -88.69,45.71,-88.05,46.03 2 1116 +proj=tmerc +lat_0=45.4388888888889 +lon_0=-88.1416666666667 +k=1.0000552095 +x_0=133502.668224536 +y_0=0.0064008128016256 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7606 projected NAD83(2011) / WISCRS Forest (ftUS) -89.05,45.37,-88.42,46.08 2 1116 +proj=tmerc +lat_0=44.0055555555556 +lon_0=-88.6333333333333 +k=1.0000673004 +x_0=275844.553213106 +y_0=0.0158496316992634 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7607 projected NAD83(2011) / WISCRS Grant (ftUS) -91.16,42.5,-90.42,43.22 2 1116 +proj=tmerc +lat_0=41.4111111111111 +lon_0=-90.8 +k=1.0000349452 +x_0=242316.484023368 +y_0=0.0100584201168402 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7608 projected NAD83(2011) / WISCRS Green and Lafayette (ftUS) -90.43,42.5,-89.36,42.86 2 1116 +proj=lcc +lat_1=42.6375622769444 +lat_0=42.6375622769444 +lon_0=-89.8388888888889 +k_0=1.0000390487 +x_0=170078.74015748 +y_0=45830.2948437897 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7609 projected NAD83(2011) / WISCRS Green Lake and Marquette (ftUS) -89.6,43.63,-88.88,43.99 2 1116 +proj=lcc +lat_1=43.8070001177778 +lat_0=43.8070001177778 +lon_0=-89.2416666666667 +k_0=1.0000344057 +x_0=150876.301752604 +y_0=79170.7793751588 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7610 projected NAD83(2011) / WISCRS Iowa (ftUS) -90.43,42.81,-89.83,43.21 2 1116 +proj=tmerc +lat_0=42.5388888888889 +lon_0=-90.1611111111111 +k=1.0000394961 +x_0=113081.026162052 +y_0=0.00457200914401829 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7611 projected NAD83(2011) / WISCRS Iron (ftUS) -90.56,45.98,-89.92,46.6 2 1116 +proj=tmerc +lat_0=45.4333333333333 +lon_0=-90.2555555555556 +k=1.0000677153 +x_0=220980.441960884 +y_0=0.00853441706883414 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7612 projected NAD83(2011) / WISCRS Jackson (ftUS) -91.17,44.07,-90.31,44.6 2 1116 +proj=tmerc +lat_0=44.2533351277778 +lon_0=-90.8442965194444 +k=1.0000353 +x_0=27000 +y_0=24999.9998983998 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7613 projected NAD83(2011) / WISCRS Kenosha, Milwaukee, Ozaukee and Racine (ftUS) -88.31,42.49,-87.75,43.55 2 1116 +proj=tmerc +lat_0=42.2166666666667 +lon_0=-87.8944444444444 +k=1.0000260649 +x_0=185928.372771146 +y_0=0.000914401828803658 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7614 projected NAD83(2011) / WISCRS Kewaunee, Manitowoc and Sheboygan (ftUS) -88.17,43.54,-87.37,44.68 2 1116 +proj=tmerc +lat_0=43.2666666666667 +lon_0=-87.55 +k=1.0000233704 +x_0=79857.7615443231 +y_0=0.00121920243840488 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7615 projected NAD83(2011) / WISCRS La Crosse (ftUS) -91.43,43.72,-90.91,44.1 2 1116 +proj=tmerc +lat_0=43.4511111111111 +lon_0=-91.3166666666667 +k=1.0000319985 +x_0=130454.659690119 +y_0=0.00335280670561341 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7616 projected NAD83(2011) / WISCRS Langlade (ftUS) -89.43,45.02,-88.63,45.48 2 1116 +proj=lcc +lat_1=45.1542371052778 +lat_0=45.1542371052778 +lon_0=-89.0333333333333 +k_0=1.0000627024 +x_0=198425.196850394 +y_0=105279.782880366 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7617 projected NAD83(2011) / WISCRS Lincoln (ftUS) -90.05,45.11,-89.42,45.56 2 1116 +proj=tmerc +lat_0=44.8444444444444 +lon_0=-89.7333333333333 +k=1.0000599003 +x_0=116129.032258065 +y_0=0.00579121158242317 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7618 projected NAD83(2011) / WISCRS Marathon (ftUS) -90.32,44.68,-89.22,45.13 2 1116 +proj=lcc +lat_1=44.9009044236111 +lat_0=44.9009044236111 +lon_0=-89.77 +k_0=1.000053289 +x_0=74676.1493522987 +y_0=55049.2669545339 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7619 projected NAD83(2011) / WISCRS Marinette (ftUS) -88.43,44.96,-87.48,45.8 2 1116 +proj=tmerc +lat_0=44.6916666666667 +lon_0=-87.7111111111111 +k=1.0000234982 +x_0=238658.879451359 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7620 projected NAD83(2011) / WISCRS Menominee (ftUS) -88.99,44.85,-88.48,45.12 2 1116 +proj=tmerc +lat_0=44.7166666666667 +lon_0=-88.4166666666667 +k=1.0000362499 +x_0=105461.012141224 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7621 projected NAD83(2011) / WISCRS Monroe (ftUS) -90.98,43.72,-90.31,44.17 2 1116 +proj=lcc +lat_1=44.0000739286111 +lat_0=44.0000739286111 +lon_0=-90.6416666666667 +k_0=1.0000434122 +x_0=204521.209042418 +y_0=121923.986182372 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7622 projected NAD83(2011) / WISCRS Oconto (ftUS) -88.69,44.67,-87.76,45.38 2 1116 +proj=tmerc +lat_0=44.3972222222222 +lon_0=-87.9083333333333 +k=1.0000236869 +x_0=182880.367589535 +y_0=0.00335280670561341 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7623 projected NAD83(2011) / WISCRS Oneida (ftUS) -90.05,45.46,-89.04,45.91 2 1116 +proj=lcc +lat_1=45.7042237702778 +lat_0=45.7042237702778 +lon_0=-89.5444444444444 +k_0=1.0000686968 +x_0=70104.1402082804 +y_0=57588.0347472695 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7624 projected NAD83(2011) / WISCRS Pepin and Pierce (ftUS) -92.81,44.4,-91.65,44.87 2 1116 +proj=lcc +lat_1=44.6361488719444 +lat_0=44.6361488719444 +lon_0=-92.2277777777778 +k_0=1.0000362977 +x_0=167640.335280671 +y_0=86033.0877317755 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7625 projected NAD83(2011) / WISCRS Polk (ftUS) -92.89,45.2,-92.15,45.73 2 1116 +proj=tmerc +lat_0=44.6611111111111 +lon_0=-92.6333333333333 +k=1.0000433849 +x_0=141732.282245365 +y_0=0.00579121158242317 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7626 projected NAD83(2011) / WISCRS Portage (ftUS) -89.85,44.24,-89.22,44.69 2 1116 +proj=lcc +lat_1=44.4168239752778 +lat_0=44.4168239752778 +lon_0=-89.5 +k_0=1.000039936 +x_0=56388.1127762256 +y_0=50022.1874523749 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7627 projected NAD83(2011) / WISCRS Price (ftUS) -90.68,45.37,-90.04,45.99 2 1116 +proj=tmerc +lat_0=44.5555555555556 +lon_0=-90.4888888888889 +k=1.0000649554 +x_0=227990.854457709 +y_0=0.0109728219456439 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7628 projected NAD83(2011) / WISCRS Richland (ftUS) -90.68,43.16,-90.19,43.56 2 1116 +proj=lcc +lat_1=43.3223129275 +lat_0=43.3223129275 +lon_0=-90.4305555555556 +k_0=1.0000375653 +x_0=202387.60477521 +y_0=134255.425450851 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7629 projected NAD83(2011) / WISCRS Rock (ftUS) -89.37,42.49,-88.77,42.85 2 1116 +proj=tmerc +lat_0=41.9444444444444 +lon_0=-89.0722222222222 +k=1.0000337311 +x_0=146304.292608585 +y_0=0.00670561341122682 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7630 projected NAD83(2011) / WISCRS Rusk (ftUS) -91.55,45.29,-90.67,45.64 2 1116 +proj=tmerc +lat_0=43.9194444444444 +lon_0=-91.0666666666667 +k=1.0000495976 +x_0=250546.101397003 +y_0=0.0234696469392939 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7631 projected NAD83(2011) / WISCRS Sauk (ftUS) -90.32,43.14,-89.59,43.65 2 1116 +proj=tmerc +lat_0=42.8194444444444 +lon_0=-89.9 +k=1.0000373868 +x_0=185623.571551943 +y_0=0.00518161036322073 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7632 projected NAD83(2011) / WISCRS Sawyer (ftUS) -91.56,45.63,-90.67,46.16 2 1116 +proj=lcc +lat_1=45.9000991313889 +lat_0=45.9000991313889 +lon_0=-91.1166666666667 +k_0=1.0000573461 +x_0=216713.233731268 +y_0=120734.163169926 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7633 projected NAD83(2011) / WISCRS Shawano (ftUS) -89.23,44.58,-88.24,45.03 2 1116 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-88.6055555555556 +k=1.000032144 +x_0=262433.32517145 +y_0=0.0094488188976378 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7634 projected NAD83(2011) / WISCRS St. Croix (ftUS) -92.81,44.85,-92.13,45.22 2 1116 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-92.6333333333333 +k=1.0000381803 +x_0=165506.73009906 +y_0=0.0103632207264415 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7635 projected NAD83(2011) / WISCRS Taylor (ftUS) -90.93,45.03,-90.04,45.39 2 1116 +proj=lcc +lat_1=45.1778220858333 +lat_0=45.1778220858333 +lon_0=-90.4833333333333 +k_0=1.0000597566 +x_0=187147.574295149 +y_0=107746.752146304 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7636 projected NAD83(2011) / WISCRS Trempealeau (ftUS) -91.62,43.98,-91.15,44.6 2 1116 +proj=tmerc +lat_0=43.1611111111111 +lon_0=-91.3666666666667 +k=1.0000361538 +x_0=256946.913893828 +y_0=0.00396240792481585 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7637 projected NAD83(2011) / WISCRS Vernon (ftUS) -91.28,43.42,-90.31,43.74 2 1116 +proj=lcc +lat_1=43.5750329397222 +lat_0=43.5750329397222 +lon_0=-90.7833333333333 +k_0=1.0000408158 +x_0=222504.44500889 +y_0=47532.0603505207 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7638 projected NAD83(2011) / WISCRS Vilas (ftUS) -90.05,45.85,-88.93,46.3 2 1116 +proj=lcc +lat_1=46.0778440905556 +lat_0=46.0778440905556 +lon_0=-89.4888888888889 +k_0=1.0000730142 +x_0=134417.068834138 +y_0=50337.1092710185 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7639 projected NAD83(2011) / WISCRS Walworth (ftUS) -88.78,42.49,-88.3,42.85 2 1116 +proj=lcc +lat_1=42.6694620969444 +lat_0=42.6694620969444 +lon_0=-88.5416666666667 +k_0=1.0000367192 +x_0=232562.86512573 +y_0=111088.222402845 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7640 projected NAD83(2011) / WISCRS Washburn (ftUS) -92.06,45.63,-91.54,46.16 2 1116 +proj=lcc +lat_1=45.9612198333333 +lat_0=45.9612198333333 +lon_0=-91.7833333333333 +k_0=1.0000475376 +x_0=234086.868173736 +y_0=188358.605943612 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7641 projected NAD83(2011) / WISCRS Washington (ftUS) -88.42,43.19,-88.03,43.55 2 1116 +proj=tmerc +lat_0=42.9180555555556 +lon_0=-88.0638888888889 +k=1.00003738 +x_0=120091.441402083 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7642 projected NAD83(2011) / WISCRS Waukesha (ftUS) -88.55,42.84,-88.06,43.2 2 1116 +proj=tmerc +lat_0=42.5694444444444 +lon_0=-88.225 +k=1.0000346179 +x_0=208788.417881636 +y_0=0.00335280670561341 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7643 projected NAD83(2011) / WISCRS Waupaca (ftUS) -89.23,44.24,-88.6,44.69 2 1116 +proj=tmerc +lat_0=43.4202777777778 +lon_0=-88.8166666666667 +k=1.0000333645 +x_0=185013.970942342 +y_0=0.00701041402082804 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7644 projected NAD83(2011) / WISCRS Waushara (ftUS) -89.6,43.98,-88.88,44.25 2 1116 +proj=lcc +lat_1=44.1139440458333 +lat_0=44.1139440458333 +lon_0=-89.2416666666667 +k_0=1.0000392096 +x_0=120091.44018288 +y_0=45069.7588011176 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7645 projected NAD83(2011) / WISCRS Wood (ftUS) -90.32,44.24,-89.72,44.69 2 1116 +proj=lcc +lat_1=44.3625954694444 +lat_0=44.3625954694444 +lon_0=-90 +k_0=1.0000421209 +x_0=208483.617272035 +y_0=134589.753924308 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +7683 geographic GSK-2011 18.92,39.87,-168.97,85.19 1 1159 +proj=longlat +ellps=GSK2011 +towgs84=0,0,0 +no_defs +7686 geographic Kyrg-06 69.24,39.19,80.29,43.22 1 1160 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7692 projected Kyrg-06 / zone 1 69.24,39.51,70.02,40.22 1 1160 +proj=tmerc +lat_0=0 +lon_0=68.5166666666667 +k=1 +x_0=1300000 +y_0=14743.5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7693 projected Kyrg-06 / zone 2 70.01,39.19,73.02,42.83 1 1160 +proj=tmerc +lat_0=0 +lon_0=71.5166666666667 +k=1 +x_0=2300000 +y_0=14743.5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7694 projected Kyrg-06 / zone 3 73.01,39.35,76.02,43.22 1 1160 +proj=tmerc +lat_0=0 +lon_0=74.5166666666667 +k=1 +x_0=3300000 +y_0=14743.5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7695 projected Kyrg-06 / zone 4 76.01,40.35,79.02,43 1 1160 +proj=tmerc +lat_0=0 +lon_0=77.5166666666667 +k=1 +x_0=4300000 +y_0=14743.5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7696 projected Kyrg-06 / zone 5 79.01,41.66,80.29,42.8 1 1160 +proj=tmerc +lat_0=0 +lon_0=80.5166666666667 +k=1 +x_0=5300000 +y_0=14743.5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7755 projected WGS 84 / India NSF LCC 65.6,3.87,97.42,35.51 6326 +proj=lcc +lat_0=24 +lon_0=80 +lat_1=12.472955 +lat_2=35.1728044444444 +x_0=4000000 +y_0=4000000 +datum=WGS84 +units=m +no_defs +7756 projected WGS 84 / Andhra Pradesh 76.75,12.61,84.81,19.92 6326 +proj=lcc +lat_0=16.25543298 +lon_0=80.875 +lat_1=13.75 +lat_2=18.75 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7757 projected WGS 84 / Arunachal Pradesh 91.55,26.65,97.42,29.47 6326 +proj=lcc +lat_0=28.00157897 +lon_0=94.5 +lat_1=27 +lat_2=29 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7758 projected WGS 84 / Assam 89.69,24.13,96.03,27.98 6326 +proj=lcc +lat_0=26.00257703 +lon_0=92.75 +lat_1=24.6666666666667 +lat_2=27.3333333333333 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7759 projected WGS 84 / Bihar 83.31,24.28,88.3,27.86 6326 +proj=lcc +lat_0=25.87725247 +lon_0=85.875 +lat_1=24.625 +lat_2=27.125 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7760 projected WGS 84 / Delhi 76.83,28.4,77.34,28.89 6326 +proj=lcc +lat_0=28.62510126 +lon_0=77 +lat_1=28.375 +lat_2=28.875 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7761 projected WGS 84 / Gujarat 68.13,20.05,74.48,24.71 6326 +proj=lcc +lat_0=22.37807121 +lon_0=71.375 +lat_1=20.7916666666667 +lat_2=23.9583333333333 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7762 projected WGS 84 / Haryana 74.46,27.65,77.6,30.94 6326 +proj=lcc +lat_0=29.25226266 +lon_0=76 +lat_1=28.0833333333333 +lat_2=30.4166666666667 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7763 projected WGS 84 / Himachal Pradesh 75.57,30.38,79,33.26 6326 +proj=lcc +lat_0=31.75183497 +lon_0=77.375 +lat_1=30.75 +lat_2=32.75 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7764 projected WGS 84 / Jammu and Kashmir 73.76,32.27,79.57,35.51 6326 +proj=lcc +lat_0=34.75570874 +lon_0=76.5 +lat_1=33.0833333333333 +lat_2=36.4166666666667 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7765 projected WGS 84 / Jharkhand 83.32,21.96,87.98,25.35 6326 +proj=lcc +lat_0=23.62652682 +lon_0=85.625 +lat_1=22.5416666666667 +lat_2=24.7083333333333 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7766 projected WGS 84 / Madhya Pradesh 74.03,21.07,82.81,26.88 6326 +proj=lcc +lat_0=24.00529821 +lon_0=78.375 +lat_1=22 +lat_2=26 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7767 projected WGS 84 / Maharashtra 72.6,15.6,80.9,22.04 6326 +proj=lcc +lat_0=18.88015774 +lon_0=76.75 +lat_1=16.625 +lat_2=21.125 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7768 projected WGS 84 / Manipur 92.97,23.84,94.76,25.7 6326 +proj=lcc +lat_0=24.75060911 +lon_0=94 +lat_1=24.0833333333333 +lat_2=25.4166666666667 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7769 projected WGS 84 / Meghalaya 89.82,25.03,92.81,26.12 6326 +proj=lcc +lat_0=25.62524747 +lon_0=91.375 +lat_1=25.2083333333333 +lat_2=26.0416666666667 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7770 projected WGS 84 / Nagaland 93.33,25.2,95.25,27.05 6326 +proj=lcc +lat_0=26.12581974 +lon_0=94.375 +lat_1=25.375 +lat_2=26.875 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7771 projected WGS 84 / India Northeast 89.69,21.94,97.42,29.47 6326 +proj=lcc +lat_0=25.63452135 +lon_0=93.5 +lat_1=23.0416666666667 +lat_2=28.2083333333333 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7772 projected WGS 84 / Orissa 81.38,17.8,87.5,22.57 6326 +proj=lcc +lat_0=20.25305174 +lon_0=84.375 +lat_1=18.5833333333333 +lat_2=21.9166666666667 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7773 projected WGS 84 / Punjab 73.87,29.54,76.94,32.58 6326 +proj=lcc +lat_0=31.00178226 +lon_0=75.375 +lat_1=30 +lat_2=32 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7774 projected WGS 84 / Rajasthan 69.48,23.06,78.27,30.2 6326 +proj=lcc +lat_0=26.88505546 +lon_0=73.875 +lat_1=24.2916666666667 +lat_2=29.4583333333333 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7775 projected WGS 84 / Uttar Pradesh 77.08,23.87,84.64,30.42 6326 +proj=lcc +lat_0=27.13270823 +lon_0=80.875 +lat_1=24.875 +lat_2=29.375 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7776 projected WGS 84 / Uttaranchal 77.56,28.71,81.02,31.48 6326 +proj=lcc +lat_0=30.0017132 +lon_0=79.375 +lat_1=29 +lat_2=31 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7777 projected WGS 84 / Andaman and Nicobar 92.15,6.7,94.33,13.73 6326 +proj=tmerc +lat_0=10.25 +lon_0=93.25 +k=0.9999428 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7778 projected WGS 84 / Chhattisgarh 80.23,17.78,84.39,24.11 6326 +proj=tmerc +lat_0=21 +lon_0=82.25 +k=0.9998332 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7779 projected WGS 84 / Goa 73.61,14.86,74.35,15.8 6326 +proj=tmerc +lat_0=15.375 +lon_0=74 +k=0.9999913 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7780 projected WGS 84 / Karnataka 74,11.57,78.58,18.46 6326 +proj=tmerc +lat_0=15.125 +lon_0=76.375 +k=0.9998012 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7781 projected WGS 84 / Kerala 74.81,8.25,77.4,12.8 6326 +proj=tmerc +lat_0=10.5 +lon_0=76 +k=0.9999177 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7782 projected WGS 84 / Lakshadweep 72.04,8.21,73.76,11.76 6326 +proj=tmerc +lat_0=10 +lon_0=73.125 +k=0.9999536 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7783 projected WGS 84 / Mizoram 92.25,21.94,93.45,24.53 6326 +proj=tmerc +lat_0=23.125 +lon_0=92.75 +k=0.9999821 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7784 projected WGS 84 / Sikkim 88.01,27.08,88.92,28.14 6326 +proj=tmerc +lat_0=27.625 +lon_0=88.5 +k=0.9999926 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7785 projected WGS 84 / Tamil Nadu 76.22,8.02,80.4,13.59 6326 +proj=tmerc +lat_0=10.875 +lon_0=78.375 +k=0.9997942 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7786 projected WGS 84 / Tripura 91.15,22.94,92.34,24.54 6326 +proj=tmerc +lat_0=23.75 +lon_0=91.75 +k=0.9999822 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7787 projected WGS 84 / West Bengal 85.82,21.49,89.88,27.23 6326 +proj=tmerc +lat_0=24.375 +lon_0=87.875 +k=0.9998584 +x_0=1000000 +y_0=1000000 +datum=WGS84 +units=m +no_defs +7791 projected RDN2008 / UTM zone 32N 5.93,36.53,12,47.04 1 1132 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7792 projected RDN2008 / UTM zone 33N 12,34.79,18,47.1 1 1132 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7793 projected RDN2008 / UTM zone 34N 17.99,34.76,18.99,41.64 1 1132 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7794 projected RDN2008 / Italy zone (E-N) 5.93,34.76,18.99,47.1 1 1132 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9985 +x_0=7000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7795 projected RDN2008 / Zone 12 (E-N) 5.93,34.76,18.99,47.1 1 1132 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=3000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7798 geographic BGS2005 22.36,41.24,31.35,44.23 1 1167 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7799 projected BGS2005 / UTM zone 34N (N-E) 22.36,41.32,24,44.23 1 1167 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7800 projected BGS2005 / UTM zone 35N (N-E) 24,41.24,30.01,44.15 1 1167 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7801 projected BGS2005 / CCS2005 22.36,41.24,28.68,44.23 1 1167 +proj=lcc +lat_0=42.6678756833333 +lon_0=25.5 +lat_1=42 +lat_2=43.3333333333333 +x_0=500000 +y_0=4725824.3591 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7803 projected BGS2005 / UTM zone 34N 22.36,41.32,24,44.23 1 1167 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7805 projected BGS2005 / UTM zone 36N 30,42.56,31.35,43.67 1 1167 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7825 projected Pulkovo 1942 / CS63 zone X1 22.15,47.71,25.01,51.92 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=23.5 +k=1 +x_0=1300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7826 projected Pulkovo 1942 / CS63 zone X2 25,47.72,28.01,51.96 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=26.5 +k=1 +x_0=2300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7827 projected Pulkovo 1942 / CS63 zone X3 28,45.18,31.01,52.09 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=29.5 +k=1 +x_0=3300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7828 projected Pulkovo 1942 / CS63 zone X4 31,44.32,34.01,52.38 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=32.5 +k=1 +x_0=4300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7829 projected Pulkovo 1942 / CS63 zone X5 34,44.33,37.01,52.25 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=35.5 +k=1 +x_0=5300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7830 projected Pulkovo 1942 / CS63 zone X6 37,46.8,40.01,50.44 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=38.5 +k=1 +x_0=6300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7831 projected Pulkovo 1942 / CS63 zone X7 40,48.8,40.18,49.62 3 6284 +proj=tmerc +lat_0=0.0833333333333333 +lon_0=41.5 +k=1 +x_0=7300000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +7844 geographic GDA2020 93.41,-60.55,173.34,-8.47 3 1168 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7845 projected GDA2020 / GA LCC 112.85,-43.7,153.69,-9.86 3 1168 +proj=lcc +lat_0=0 +lon_0=134 +lat_1=-18 +lat_2=-36 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7846 projected GDA2020 / MGA zone 46 93.41,-15.46,96.01,-8.57 3 1168 +proj=utm +zone=46 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7847 projected GDA2020 / MGA zone 47 96,-15.56,100.34,-8.47 3 1168 +proj=utm +zone=47 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7848 projected GDA2020 / MGA zone 48 102.14,-34.68,108.01,-8.87 3 1168 +proj=utm +zone=48 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7849 projected GDA2020 / MGA zone 49 108,-37.84,114.01,-10.72 3 1168 +proj=utm +zone=49 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7850 projected GDA2020 / MGA zone 50 114,-38.53,120.01,-12.06 3 1168 +proj=utm +zone=50 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7851 projected GDA2020 / MGA zone 51 120,-38.07,126.01,-10.46 3 1168 +proj=utm +zone=51 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7852 projected GDA2020 / MGA zone 52 125.99,-37.38,132,-9.1 3 1168 +proj=utm +zone=52 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7853 projected GDA2020 / MGA zone 53 132,-40.71,138.01,-8.88 3 1168 +proj=utm +zone=53 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7854 projected GDA2020 / MGA zone 54 138,-48.19,144.01,-9.08 3 1168 +proj=utm +zone=54 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7855 projected GDA2020 / MGA zone 55 144,-50.89,150.01,-9.23 3 1168 +proj=utm +zone=55 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7856 projected GDA2020 / MGA zone 56 150,-58.96,156,-13.87 3 1168 +proj=utm +zone=56 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7857 projected GDA2020 / MGA zone 57 156,-60.56,162.01,-14.08 3 1168 +proj=utm +zone=57 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7858 projected GDA2020 / MGA zone 58 162,-59.39,168,-25.94 3 1168 +proj=utm +zone=58 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7859 projected GDA2020 / MGA zone 59 168,-32.48,173.35,-25.61 3 1168 +proj=utm +zone=59 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7877 projected Astro DOS 71 / SHLG71 -5.85,-16.08,-5.59,-15.85 1 6710 +proj=tmerc +lat_0=-15.9666666666667 +lon_0=-5.71666666666667 +k=1 +x_0=300000 +y_0=2000000 +ellps=intl +towgs84=-323.65,551.39,-491.22 +units=m +no_defs +7878 projected Astro DOS 71 / UTM zone 30S -5.85,-16.08,-5.59,-15.85 1 6710 +proj=utm +zone=30 +south +ellps=intl +towgs84=-323.65,551.39,-491.22 +units=m +no_defs +7881 geographic St. Helena Tritan -5.85,-16.08,-5.59,-15.85 1 1173 +proj=longlat +ellps=WGS84 +towgs84=-0.077,0.079,0.086 +no_defs +7882 projected St. Helena Tritan / SHLG(Tritan) -5.85,-16.08,-5.59,-15.85 1 1173 +proj=tmerc +lat_0=-15.9666666666667 +lon_0=-5.71666666666667 +k=1 +x_0=299483.737 +y_0=2000527.879 +ellps=WGS84 +towgs84=-0.077,0.079,0.086 +units=m +no_defs +7883 projected St. Helena Tritan / UTM zone 30S -5.85,-16.08,-5.59,-15.85 1 1173 +proj=utm +zone=30 +south +ellps=WGS84 +towgs84=-0.077,0.079,0.086 +units=m +no_defs +7886 geographic SHGD2015 -5.85,-16.08,-5.59,-15.85 1 1174 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +7887 projected SHMG2015 -5.85,-16.08,-5.59,-15.85 1 1174 +proj=utm +zone=30 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7899 projected GDA2020 / Vicgrid 140.96,-39.2,150.04,-33.98 3 1168 +proj=lcc +lat_0=-37 +lon_0=145 +lat_1=-36 +lat_2=-38 +x_0=2500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +7991 projected NAD27 / MTM zone 10 -81,42.26,-77.99,47.33 10 6267 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +units=m +no_defs +7992 projected Malongo 1987 / UTM zone 33S 11.79,-6.04,12.37,-5.79 5 6259 +proj=utm +zone=33 +south +ellps=intl +towgs84=-254.1,-5.36,-100.29 +units=m +no_defs +8013 projected GDA2020 / ALB2020 117.55,-35.21,118.22,-34.75 3 1168 +proj=tmerc +lat_0=0 +lon_0=117.883333333333 +k=1.0000044 +x_0=50000 +y_0=4100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8014 projected GDA2020 / BIO2020 114.9,-22.2,115.59,-20.21 3 1168 +proj=tmerc +lat_0=0 +lon_0=115.25 +k=1.0000022 +x_0=60000 +y_0=2700000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8015 projected GDA2020 / BRO2020 122.08,-18.09,122.62,-16.75 3 1168 +proj=tmerc +lat_0=0 +lon_0=122.333333333333 +k=1.00000298 +x_0=50000 +y_0=2300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8016 projected GDA2020 / BCG2020 115.18,-33.75,115.87,-33.4 3 1168 +proj=tmerc +lat_0=0 +lon_0=115.433333333333 +k=0.99999592 +x_0=50000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8017 projected GDA2020 / CARN2020 113.33,-25.5,114,-23 3 1168 +proj=tmerc +lat_0=0 +lon_0=113.666666666667 +k=0.99999796 +x_0=50000 +y_0=3050000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8018 projected GDA2020 / CIG2020 105.48,-10.63,105.77,-10.36 3 1168 +proj=tmerc +lat_0=0 +lon_0=105.625 +k=1.00002514 +x_0=50000 +y_0=1400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8019 projected GDA2020 / CKIG2020 96.76,-12.27,96.99,-11.76 3 1168 +proj=tmerc +lat_0=0 +lon_0=96.875 +k=0.99999387 +x_0=50000 +y_0=1600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8020 projected GDA2020 / COL2020 115.73,-34.67,116.4,-33.25 3 1168 +proj=tmerc +lat_0=0 +lon_0=115.933333333333 +k=1.000019 +x_0=40000 +y_0=4100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8021 projected GDA2020 / ESP2020 121.56,-34.5,122.2,-33.33 3 1168 +proj=tmerc +lat_0=0 +lon_0=121.883333333333 +k=1.0000055 +x_0=50000 +y_0=4050000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8022 projected GDA2020 / EXM2020 113.75,-22.42,114.25,-21.75 3 1168 +proj=tmerc +lat_0=0 +lon_0=114.066666666667 +k=1.00000236 +x_0=50000 +y_0=2750000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8023 projected GDA2020 / GCG2020 114.51,-29.1,115,-28.48 3 1168 +proj=tmerc +lat_0=0 +lon_0=114.583333333333 +k=1.00000628 +x_0=50000 +y_0=3450000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8024 projected GDA2020 / GOLD2020 121,-32.25,121.84,-28.75 3 1168 +proj=tmerc +lat_0=0 +lon_0=121.5 +k=1.00004949 +x_0=60000 +y_0=3800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8025 projected GDA2020 / JCG2020 114.83,-30.74,115.34,-29.08 3 1168 +proj=tmerc +lat_0=0 +lon_0=114.983333333333 +k=1.00000314 +x_0=50000 +y_0=3650000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8026 projected GDA2020 / KALB2020 113.9,-28.5,114.75,-27.16 3 1168 +proj=tmerc +lat_0=0 +lon_0=114.315277777778 +k=1.000014 +x_0=55000 +y_0=3700000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8027 projected GDA2020 / KAR2020 116.58,-20.92,117.25,-20.25 3 1168 +proj=tmerc +lat_0=0 +lon_0=116.933333333333 +k=0.9999989 +x_0=50000 +y_0=2550000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8028 projected GDA2020 / KUN2020 128.5,-16.75,129,-14.75 3 1168 +proj=tmerc +lat_0=0 +lon_0=128.75 +k=1.0000165 +x_0=50000 +y_0=2100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8029 projected GDA2020 / LCG2020 115.15,-31.49,115.62,-30.71 3 1168 +proj=tmerc +lat_0=0 +lon_0=115.366666666667 +k=1.00000157 +x_0=50000 +y_0=3750000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8030 projected GDA2020 / MRCG2020 114.96,-34.42,115.24,-33.51 3 1168 +proj=tmerc +lat_0=0 +lon_0=115.166666666667 +k=1.0000055 +x_0=50000 +y_0=4050000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8031 projected GDA2020 / PCG2020 115.44,-33.42,116.09,-31.33 3 1168 +proj=tmerc +lat_0=0 +lon_0=115.816666666667 +k=0.99999906 +x_0=50000 +y_0=3900000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8032 projected GDA2020 / PHG2020 118.25,-20.79,118.97,-20.1 3 1168 +proj=tmerc +lat_0=0 +lon_0=118.6 +k=1.00000135 +x_0=50000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8035 projected WGS 84 / TM Zone 20N (ftUS) -62.09,9.83,-59.99,12.34 6326 +proj=tmerc +lat_0=0 +lon_0=-63 +k=0.9996 +x_0=500000.0001016 +y_0=0 +datum=WGS84 +to_meter=0.304800609601219 +no_defs +8036 projected WGS 84 / TM Zone 21N (ftUS) -60,9.95,-57.28,12.19 6326 +proj=tmerc +lat_0=0 +lon_0=-57 +k=0.9996 +x_0=500000.0001016 +y_0=0 +datum=WGS84 +to_meter=0.304800609601219 +no_defs +8042 geographic Gusterberg (Ferro) 12.07,46.93,16.83,51.06 1188 +proj=longlat +a=6376045 +rf=310 +pm=-17.6666666666667 +no_defs +8043 geographic St. Stephen (Ferro) 14.41,47.42,18.86,50.45 1189 +proj=longlat +a=6376045 +rf=310 +pm=-17.6666666666667 +no_defs +8044 projected Gusterberg Grid (Ferro) 12.07,46.93,16.83,51.06 1188 +proj=cass +axis=swu +lat_0=48.0384638888889 +lon_0=31.8041805555556 +x_0=0 +y_0=0 +a=6376045 +rf=310 +pm=-17.6666666666667 +units=m +no_defs +8045 projected St. Stephen Grid (Ferro) 14.41,47.42,18.86,50.45 1189 +proj=cass +axis=swu +lat_0=48.2087611111111 +lon_0=34.0409222222222 +x_0=0 +y_0=0 +a=6376045 +rf=310 +pm=-17.6666666666667 +units=m +no_defs +8058 projected GDA2020 / NSW Lambert 140.99,-37.53,153.69,-28.15 3 1168 +proj=lcc +lat_0=-33.25 +lon_0=147 +lat_1=-30.75 +lat_2=-35.75 +x_0=9300000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8059 projected GDA2020 / SA Lambert 128.99,-38.13,141.01,-25.99 3 1168 +proj=lcc +lat_0=-32 +lon_0=135 +lat_1=-28 +lat_2=-36 +x_0=1000000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8065 projected NAD83(2011) / PCCS zone 1 (ft) -111.57,31.43,-110.44,32.52 2 1116 +proj=omerc +lat_0=32.25 +lonc=-111.4 +alpha=45 +gamma=45 +k=1.00011 +x_0=48768 +y_0=243840 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8066 projected NAD83(2011) / PCCS zone 2 (ft) -112.52,31.5,-111.56,32.51 2 1116 +proj=tmerc +lat_0=31.25 +lon_0=-112.166666666667 +k=1.00009 +x_0=548640 +y_0=304800 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8067 projected NAD83(2011) / PCCS zone 3 (ft) -113.33,31.8,-112.51,32.51 2 1116 +proj=tmerc +lat_0=31.5 +lon_0=-113.166666666667 +k=1.000055 +x_0=182880 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8068 projected NAD83(2011) / PCCS zone 4 (ft) -110.87,32.33,-110.61,32.49 2 1116 +proj=lcc +lat_1=30.5 +lat_0=30.5 +lon_0=-110.75 +k_0=0.9998 +x_0=9144 +y_0=-188976 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8082 projected NAD83(CSRS)v6 / MTM NS 2010 zone 4 -63,44.64,-59.73,47.08 1197 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=24500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +8083 projected NAD83(CSRS)v6 / MTM NS 2010 zone 5 -66.28,43.41,-63,46.02 1197 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=25500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +8086 geographic ISN2016 -30.87,59.96,-5.55,69.59 1 1187 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8088 projected ISN2016 / Lambert 2016 -30.87,59.96,-5.55,69.59 1 1187 +proj=lcc +lat_0=65 +lon_0=-19 +lat_1=64.25 +lat_2=65.75 +x_0=2700000 +y_0=300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8090 projected NAD83(HARN) / WISCRS Florence (m) -88.69,45.71,-88.05,46.03 1 6152 +proj=tmerc +lat_0=45.4388888888889 +lon_0=-88.1416666666667 +k=1.0000552095 +x_0=133502.6683 +y_0=0.0063 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8091 projected NAD83(HARN) / WISCRS Florence (ftUS) -88.69,45.71,-88.05,46.03 1 6152 +proj=tmerc +lat_0=45.4388888888889 +lon_0=-88.1416666666667 +k=1.0000552095 +x_0=133502.668224536 +y_0=0.0064008128016256 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8092 projected NAD83(HARN) / WISCRS Eau Claire (m) -91.66,44.59,-90.92,44.86 1 6152 +proj=lcc +lat_1=44.8722811263889 +lat_0=44.8722811263889 +lon_0=-91.2888888888889 +k_0=1.000035079 +x_0=120091.4402 +y_0=91687.9239 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8093 projected NAD83(HARN) / WISCRS Eau Claire (ftUS) -91.66,44.59,-90.92,44.86 1 6152 +proj=lcc +lat_1=44.8722811263889 +lat_0=44.8722811263889 +lon_0=-91.2888888888889 +k_0=1.000035079 +x_0=120091.44018288 +y_0=91687.9239014478 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8095 projected NAD83(HARN) / WISCRS Wood (m) -90.32,44.24,-89.72,44.69 1 6152 +proj=lcc +lat_1=44.3625954694444 +lat_0=44.3625954694444 +lon_0=-90 +k_0=1.0000421209 +x_0=208483.6173 +y_0=134589.754 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8096 projected NAD83(HARN) / WISCRS Wood (ftUS) -90.32,44.24,-89.72,44.69 1 6152 +proj=lcc +lat_1=44.3625954694444 +lat_0=44.3625954694444 +lon_0=-90 +k_0=1.0000421209 +x_0=208483.617272035 +y_0=134589.753924308 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8097 projected NAD83(HARN) / WISCRS Waushara (m) -89.6,43.98,-88.88,44.25 1 6152 +proj=lcc +lat_1=44.1139440458333 +lat_0=44.1139440458333 +lon_0=-89.2416666666667 +k_0=1.0000392096 +x_0=120091.4402 +y_0=45069.7587 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8098 projected NAD83(HARN) / WISCRS Waushara (ftUS) -89.6,43.98,-88.88,44.25 1 6152 +proj=lcc +lat_1=44.1139440458333 +lat_0=44.1139440458333 +lon_0=-89.2416666666667 +k_0=1.0000392096 +x_0=120091.44018288 +y_0=45069.7588011176 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8099 projected NAD83(HARN) / WISCRS Waupaca (m) -89.23,44.24,-88.6,44.69 1 6152 +proj=tmerc +lat_0=43.4202777777778 +lon_0=-88.8166666666667 +k=1.0000333645 +x_0=185013.9709 +y_0=0.007 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8100 projected NAD83(HARN) / WISCRS Waupaca (ftUS) -89.23,44.24,-88.6,44.69 1 6152 +proj=tmerc +lat_0=43.4202777777778 +lon_0=-88.8166666666667 +k=1.0000333645 +x_0=185013.970942342 +y_0=0.00701041402082804 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8101 projected NAD83(HARN) / WISCRS Waukesha (m) -88.55,42.84,-88.06,43.2 1 6152 +proj=tmerc +lat_0=42.5694444444444 +lon_0=-88.225 +k=1.0000346179 +x_0=208788.418 +y_0=0.0034 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8102 projected NAD83(HARN) / WISCRS Waukesha (ftUS) -88.55,42.84,-88.06,43.2 1 6152 +proj=tmerc +lat_0=42.5694444444444 +lon_0=-88.225 +k=1.0000346179 +x_0=208788.417881636 +y_0=0.00335280670561341 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8103 projected NAD83(HARN) / WISCRS Washington (m) -88.42,43.19,-88.03,43.55 1 6152 +proj=tmerc +lat_0=42.9180555555556 +lon_0=-88.0638888888889 +k=1.00003738 +x_0=120091.4415 +y_0=0.003 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8104 projected NAD83(HARN) / WISCRS Washington (ftUS) -88.42,43.19,-88.03,43.55 1 6152 +proj=tmerc +lat_0=42.9180555555556 +lon_0=-88.0638888888889 +k=1.00003738 +x_0=120091.441402083 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8105 projected NAD83(HARN) / WISCRS Washburn (m) -92.06,45.63,-91.54,46.16 1 6152 +proj=lcc +lat_1=45.9612198333333 +lat_0=45.9612198333333 +lon_0=-91.7833333333333 +k_0=1.0000475376 +x_0=234086.8682 +y_0=188358.6058 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8106 projected NAD83(HARN) / WISCRS Washburn (ftUS) -92.06,45.63,-91.54,46.16 1 6152 +proj=lcc +lat_1=45.9612198333333 +lat_0=45.9612198333333 +lon_0=-91.7833333333333 +k_0=1.0000475376 +x_0=234086.868173736 +y_0=188358.605943612 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8107 projected NAD83(HARN) / WISCRS Walworth (m) -88.78,42.49,-88.3,42.85 1 6152 +proj=lcc +lat_1=42.6694620969444 +lat_0=42.6694620969444 +lon_0=-88.5416666666667 +k_0=1.0000367192 +x_0=232562.8651 +y_0=111088.2224 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8108 projected NAD83(HARN) / WISCRS Walworth (ftUS) -88.78,42.49,-88.3,42.85 1 6152 +proj=lcc +lat_1=42.6694620969444 +lat_0=42.6694620969444 +lon_0=-88.5416666666667 +k_0=1.0000367192 +x_0=232562.86512573 +y_0=111088.222402845 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8109 projected NAD83(HARN) / WISCRS Vilas (m) -90.05,45.85,-88.93,46.3 1 6152 +proj=lcc +lat_1=46.0778440905556 +lat_0=46.0778440905556 +lon_0=-89.4888888888889 +k_0=1.0000730142 +x_0=134417.0689 +y_0=50337.1092 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8110 projected NAD83(HARN) / WISCRS Vilas (ftUS) -90.05,45.85,-88.93,46.3 1 6152 +proj=lcc +lat_1=46.0778440905556 +lat_0=46.0778440905556 +lon_0=-89.4888888888889 +k_0=1.0000730142 +x_0=134417.068834138 +y_0=50337.1092710185 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8111 projected NAD83(HARN) / WISCRS Vernon (m) -91.28,43.42,-90.31,43.74 1 6152 +proj=lcc +lat_1=43.5750329397222 +lat_0=43.5750329397222 +lon_0=-90.7833333333333 +k_0=1.0000408158 +x_0=222504.4451 +y_0=47532.0602 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8112 projected NAD83(HARN) / WISCRS Vernon (ftUS) -91.28,43.42,-90.31,43.74 1 6152 +proj=lcc +lat_1=43.5750329397222 +lat_0=43.5750329397222 +lon_0=-90.7833333333333 +k_0=1.0000408158 +x_0=222504.44500889 +y_0=47532.0603505207 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8113 projected NAD83(HARN) / WISCRS Trempealeau (m) -91.62,43.98,-91.15,44.6 1 6152 +proj=tmerc +lat_0=43.1611111111111 +lon_0=-91.3666666666667 +k=1.0000361538 +x_0=256946.9138 +y_0=0.0041 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8114 projected NAD83(HARN) / WISCRS Trempealeau (ftUS) -91.62,43.98,-91.15,44.6 1 6152 +proj=tmerc +lat_0=43.1611111111111 +lon_0=-91.3666666666667 +k=1.0000361538 +x_0=256946.913893828 +y_0=0.00396240792481585 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8115 projected NAD83(HARN) / WISCRS Taylor (m) -90.93,45.03,-90.04,45.39 1 6152 +proj=lcc +lat_1=45.1778220858333 +lat_0=45.1778220858333 +lon_0=-90.4833333333333 +k_0=1.0000597566 +x_0=187147.5744 +y_0=107746.7522 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8116 projected NAD83(HARN) / WISCRS Taylor (ftUS) -90.93,45.03,-90.04,45.39 1 6152 +proj=lcc +lat_1=45.1778220858333 +lat_0=45.1778220858333 +lon_0=-90.4833333333333 +k_0=1.0000597566 +x_0=187147.574295149 +y_0=107746.752146304 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8117 projected NAD83(HARN) / WISCRS St. Croix (m) -92.81,44.85,-92.13,45.22 1 6152 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-92.6333333333333 +k=1.0000381803 +x_0=165506.7302 +y_0=0.0103 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8118 projected NAD83(HARN) / WISCRS St. Croix (ftUS) -92.81,44.85,-92.13,45.22 1 6152 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-92.6333333333333 +k=1.0000381803 +x_0=165506.73009906 +y_0=0.0103632207264415 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8119 projected NAD83(HARN) / WISCRS Shawano (m) -89.23,44.58,-88.24,45.03 1 6152 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-88.6055555555556 +k=1.000032144 +x_0=262433.3253 +y_0=0.0096 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8120 projected NAD83(HARN) / WISCRS Shawano (ftUS) -89.23,44.58,-88.24,45.03 1 6152 +proj=tmerc +lat_0=44.0361111111111 +lon_0=-88.6055555555556 +k=1.000032144 +x_0=262433.32517145 +y_0=0.0094488188976378 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8121 projected NAD83(HARN) / WISCRS Sawyer (m) -91.56,45.63,-90.67,46.16 1 6152 +proj=lcc +lat_1=45.9000991313889 +lat_0=45.9000991313889 +lon_0=-91.1166666666667 +k_0=1.0000573461 +x_0=216713.2336 +y_0=120734.1631 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8122 projected NAD83(HARN) / WISCRS Sawyer (ftUS) -91.56,45.63,-90.67,46.16 1 6152 +proj=lcc +lat_1=45.9000991313889 +lat_0=45.9000991313889 +lon_0=-91.1166666666667 +k_0=1.0000573461 +x_0=216713.233731268 +y_0=120734.163169926 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8123 projected NAD83(HARN) / WISCRS Sauk (m) -90.32,43.14,-89.59,43.65 1 6152 +proj=tmerc +lat_0=42.8194444444444 +lon_0=-89.9 +k=1.0000373868 +x_0=185623.5716 +y_0=0.0051 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8124 projected NAD83(HARN) / WISCRS Sauk (ftUS) -90.32,43.14,-89.59,43.65 1 6152 +proj=tmerc +lat_0=42.8194444444444 +lon_0=-89.9 +k=1.0000373868 +x_0=185623.571551943 +y_0=0.00518161036322073 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8125 projected NAD83(HARN) / WISCRS Rusk (m) -91.55,45.29,-90.67,45.64 1 6152 +proj=tmerc +lat_0=43.9194444444444 +lon_0=-91.0666666666667 +k=1.0000495976 +x_0=250546.1013 +y_0=0.0234 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8126 projected NAD83(HARN) / WISCRS Rusk (ftUS) -91.55,45.29,-90.67,45.64 1 6152 +proj=tmerc +lat_0=43.9194444444444 +lon_0=-91.0666666666667 +k=1.0000495976 +x_0=250546.101397003 +y_0=0.0234696469392939 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8127 projected NAD83(HARN) / WISCRS Rock (m) -89.37,42.49,-88.77,42.85 1 6152 +proj=tmerc +lat_0=41.9444444444444 +lon_0=-89.0722222222222 +k=1.0000337311 +x_0=146304.2926 +y_0=0.0068 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8128 projected NAD83(HARN) / WISCRS Rock (ftUS) -89.37,42.49,-88.77,42.85 1 6152 +proj=tmerc +lat_0=41.9444444444444 +lon_0=-89.0722222222222 +k=1.0000337311 +x_0=146304.292608585 +y_0=0.00670561341122682 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8129 projected NAD83(HARN) / WISCRS Richland (m) -90.68,43.16,-90.19,43.56 1 6152 +proj=lcc +lat_1=43.3223129275 +lat_0=43.3223129275 +lon_0=-90.4305555555556 +k_0=1.0000375653 +x_0=202387.6048 +y_0=134255.4253 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8130 projected NAD83(HARN) / WISCRS Richland (ftUS) -90.68,43.16,-90.19,43.56 1 6152 +proj=lcc +lat_1=43.3223129275 +lat_0=43.3223129275 +lon_0=-90.4305555555556 +k_0=1.0000375653 +x_0=202387.60477521 +y_0=134255.425450851 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8131 projected NAD83(HARN) / WISCRS Price (m) -90.68,45.37,-90.04,45.99 1 6152 +proj=tmerc +lat_0=44.5555555555556 +lon_0=-90.4888888888889 +k=1.0000649554 +x_0=227990.8546 +y_0=0.0109 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8132 projected NAD83(HARN) / WISCRS Price (ftUS) -90.68,45.37,-90.04,45.99 1 6152 +proj=tmerc +lat_0=44.5555555555556 +lon_0=-90.4888888888889 +k=1.0000649554 +x_0=227990.854457709 +y_0=0.0109728219456439 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8133 projected NAD83(HARN) / WISCRS Portage (m) -89.85,44.24,-89.22,44.69 1 6152 +proj=lcc +lat_1=44.4168239752778 +lat_0=44.4168239752778 +lon_0=-89.5 +k_0=1.000039936 +x_0=56388.1128 +y_0=50022.1874 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8134 projected NAD83(HARN) / WISCRS Portage (ftUS) -89.85,44.24,-89.22,44.69 1 6152 +proj=lcc +lat_1=44.4168239752778 +lat_0=44.4168239752778 +lon_0=-89.5 +k_0=1.000039936 +x_0=56388.1127762256 +y_0=50022.1874523749 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8135 projected NAD83(HARN) / WISCRS Polk (m) -92.89,45.2,-92.15,45.73 1 6152 +proj=tmerc +lat_0=44.6611111111111 +lon_0=-92.6333333333333 +k=1.0000433849 +x_0=141732.2823 +y_0=0.0059 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8136 projected NAD83(HARN) / WISCRS Polk (ftUS) -92.89,45.2,-92.15,45.73 1 6152 +proj=tmerc +lat_0=44.6611111111111 +lon_0=-92.6333333333333 +k=1.0000433849 +x_0=141732.282245365 +y_0=0.00579121158242317 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8137 projected NAD83(HARN) / WISCRS Pepin and Pierce (m) -92.81,44.4,-91.65,44.87 1 6152 +proj=lcc +lat_1=44.6361488719444 +lat_0=44.6361488719444 +lon_0=-92.2277777777778 +k_0=1.0000362977 +x_0=167640.3354 +y_0=86033.0876 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8138 projected NAD83(HARN) / WISCRS Pepin and Pierce (ftUS) -92.81,44.4,-91.65,44.87 1 6152 +proj=lcc +lat_1=44.6361488719444 +lat_0=44.6361488719444 +lon_0=-92.2277777777778 +k_0=1.0000362977 +x_0=167640.335280671 +y_0=86033.0877317755 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8139 projected NAD83(HARN) / WISCRS Oneida (m) -90.05,45.46,-89.04,45.91 1 6152 +proj=lcc +lat_1=45.7042237702778 +lat_0=45.7042237702778 +lon_0=-89.5444444444444 +k_0=1.0000686968 +x_0=70104.1401 +y_0=57588.0346 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8140 projected NAD83(HARN) / WISCRS Oneida (ftUS) -90.05,45.46,-89.04,45.91 1 6152 +proj=lcc +lat_1=45.7042237702778 +lat_0=45.7042237702778 +lon_0=-89.5444444444444 +k_0=1.0000686968 +x_0=70104.1402082804 +y_0=57588.0347472695 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8141 projected NAD83(HARN) / WISCRS Oconto (m) -88.69,44.67,-87.76,45.38 1 6152 +proj=tmerc +lat_0=44.3972222222222 +lon_0=-87.9083333333333 +k=1.0000236869 +x_0=182880.3676 +y_0=0.0033 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8142 projected NAD83(HARN) / WISCRS Oconto (ftUS) -88.69,44.67,-87.76,45.38 1 6152 +proj=tmerc +lat_0=44.3972222222222 +lon_0=-87.9083333333333 +k=1.0000236869 +x_0=182880.367589535 +y_0=0.00335280670561341 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8143 projected NAD83(HARN) / WISCRS Monroe (m) -90.98,43.72,-90.31,44.17 1 6152 +proj=lcc +lat_1=44.0000739286111 +lat_0=44.0000739286111 +lon_0=-90.6416666666667 +k_0=1.0000434122 +x_0=204521.209 +y_0=121923.9861 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8144 projected NAD83(HARN) / WISCRS Monroe (ftUS) -90.98,43.72,-90.31,44.17 1 6152 +proj=lcc +lat_1=44.0000739286111 +lat_0=44.0000739286111 +lon_0=-90.6416666666667 +k_0=1.0000434122 +x_0=204521.209042418 +y_0=121923.986182372 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8145 projected NAD83(HARN) / WISCRS Menominee (m) -88.99,44.85,-88.48,45.12 1 6152 +proj=tmerc +lat_0=44.7166666666667 +lon_0=-88.4166666666667 +k=1.0000362499 +x_0=105461.0121 +y_0=0.0029 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8146 projected NAD83(HARN) / WISCRS Menominee (ftUS) -88.99,44.85,-88.48,45.12 1 6152 +proj=tmerc +lat_0=44.7166666666667 +lon_0=-88.4166666666667 +k=1.0000362499 +x_0=105461.012141224 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8147 projected NAD83(HARN) / WISCRS Marinette (m) -88.43,44.96,-87.48,45.8 1 6152 +proj=tmerc +lat_0=44.6916666666667 +lon_0=-87.7111111111111 +k=1.0000234982 +x_0=238658.8794 +y_0=0.0032 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8148 projected NAD83(HARN) / WISCRS Marinette (ftUS) -88.43,44.96,-87.48,45.8 1 6152 +proj=tmerc +lat_0=44.6916666666667 +lon_0=-87.7111111111111 +k=1.0000234982 +x_0=238658.879451359 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8149 projected NAD83(HARN) / WISCRS Marathon (m) -90.32,44.68,-89.22,45.13 1 6152 +proj=lcc +lat_1=44.9009044236111 +lat_0=44.9009044236111 +lon_0=-89.77 +k_0=1.000053289 +x_0=74676.1493 +y_0=55049.2669 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8150 projected NAD83(HARN) / WISCRS Marathon (ftUS) -90.32,44.68,-89.22,45.13 1 6152 +proj=lcc +lat_1=44.9009044236111 +lat_0=44.9009044236111 +lon_0=-89.77 +k_0=1.000053289 +x_0=74676.1493522987 +y_0=55049.2669545339 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8151 projected NAD83(HARN) / WISCRS Lincoln (m) -90.05,45.11,-89.42,45.56 1 6152 +proj=tmerc +lat_0=44.8444444444444 +lon_0=-89.7333333333333 +k=1.0000599003 +x_0=116129.0323 +y_0=0.0058 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8152 projected NAD83(HARN) / WISCRS Lincoln (ftUS) -90.05,45.11,-89.42,45.56 1 6152 +proj=tmerc +lat_0=44.8444444444444 +lon_0=-89.7333333333333 +k=1.0000599003 +x_0=116129.032258065 +y_0=0.00579121158242317 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8153 projected NAD83(HARN) / WISCRS Langlade (m) -89.43,45.02,-88.63,45.48 1 6152 +proj=lcc +lat_1=45.1542371052778 +lat_0=45.1542371052778 +lon_0=-89.0333333333333 +k_0=1.0000627024 +x_0=198425.197 +y_0=105279.7829 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8154 projected NAD83(HARN) / WISCRS Langlade (ftUS) -89.43,45.02,-88.63,45.48 1 6152 +proj=lcc +lat_1=45.1542371052778 +lat_0=45.1542371052778 +lon_0=-89.0333333333333 +k_0=1.0000627024 +x_0=198425.196850394 +y_0=105279.782880366 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8155 projected NAD83(HARN) / WISCRS La Crosse (m) -91.43,43.72,-90.91,44.1 1 6152 +proj=tmerc +lat_0=43.4511111111111 +lon_0=-91.3166666666667 +k=1.0000319985 +x_0=130454.6598 +y_0=0.0033 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8156 projected NAD83(HARN) / WISCRS La Crosse (ftUS) -91.43,43.72,-90.91,44.1 1 6152 +proj=tmerc +lat_0=43.4511111111111 +lon_0=-91.3166666666667 +k=1.0000319985 +x_0=130454.659690119 +y_0=0.00335280670561341 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8157 projected NAD83(HARN) / WISCRS Kewaunee, Manitowoc and Sheboygan (m) -88.17,43.54,-87.37,44.68 1 6152 +proj=tmerc +lat_0=43.2666666666667 +lon_0=-87.55 +k=1.0000233704 +x_0=79857.7614 +y_0=0.0012 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8158 projected NAD83(HARN) / WISCRS Kewaunee, Manitowoc and Sheboygan (ftUS) -88.17,43.54,-87.37,44.68 1 6152 +proj=tmerc +lat_0=43.2666666666667 +lon_0=-87.55 +k=1.0000233704 +x_0=79857.7615443231 +y_0=0.00121920243840488 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8159 projected NAD83(HARN) / WISCRS Kenosha, Milwaukee, Ozaukee and Racine (m) -88.31,42.49,-87.75,43.55 1 6152 +proj=tmerc +lat_0=42.2166666666667 +lon_0=-87.8944444444444 +k=1.0000260649 +x_0=185928.3728 +y_0=0.0009 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8160 projected NAD83(HARN) / WISCRS Kenosha, Milwaukee, Ozaukee and Racine (ftUS) -88.31,42.49,-87.75,43.55 1 6152 +proj=tmerc +lat_0=42.2166666666667 +lon_0=-87.8944444444444 +k=1.0000260649 +x_0=185928.372771146 +y_0=0.000914401828803658 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8161 projected NAD83(HARN) / WISCRS Jackson (m) -91.17,44.07,-90.31,44.6 1 6152 +proj=tmerc +lat_0=44.2533351277778 +lon_0=-90.8442965194444 +k=1.0000353 +x_0=27000 +y_0=25000 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8162 projected NAD83(HARN) / WISCRS Jackson (ftUS) -91.17,44.07,-90.31,44.6 1 6152 +proj=tmerc +lat_0=44.2533351277778 +lon_0=-90.8442965194444 +k=1.0000353 +x_0=27000 +y_0=24999.9998983998 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8163 projected NAD83(HARN) / WISCRS Iron (m) -90.56,45.98,-89.92,46.6 1 6152 +proj=tmerc +lat_0=45.4333333333333 +lon_0=-90.2555555555556 +k=1.0000677153 +x_0=220980.4419 +y_0=0.0085 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8164 projected NAD83(HARN) / WISCRS Iron (ftUS) -90.56,45.98,-89.92,46.6 1 6152 +proj=tmerc +lat_0=45.4333333333333 +lon_0=-90.2555555555556 +k=1.0000677153 +x_0=220980.441960884 +y_0=0.00853441706883414 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8165 projected NAD83(HARN) / WISCRS Iowa (m) -90.43,42.81,-89.83,43.21 1 6152 +proj=tmerc +lat_0=42.5388888888889 +lon_0=-90.1611111111111 +k=1.0000394961 +x_0=113081.0261 +y_0=0.0045 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8166 projected NAD83(HARN) / WISCRS Iowa (ftUS) -90.43,42.81,-89.83,43.21 1 6152 +proj=tmerc +lat_0=42.5388888888889 +lon_0=-90.1611111111111 +k=1.0000394961 +x_0=113081.026162052 +y_0=0.00457200914401829 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8167 projected NAD83(HARN) / WISCRS Green Lake and Marquette (m) -89.6,43.63,-88.88,43.99 1 6152 +proj=lcc +lat_1=43.8070001177778 +lat_0=43.8070001177778 +lon_0=-89.2416666666667 +k_0=1.0000344057 +x_0=150876.3018 +y_0=79170.7795 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8168 projected NAD83(HARN) / WISCRS Green Lake and Marquette (ftUS) -89.6,43.63,-88.88,43.99 1 6152 +proj=lcc +lat_1=43.8070001177778 +lat_0=43.8070001177778 +lon_0=-89.2416666666667 +k_0=1.0000344057 +x_0=150876.301752604 +y_0=79170.7793751588 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8169 projected NAD83(HARN) / WISCRS Green and Lafayette (m) -90.43,42.5,-89.36,42.86 1 6152 +proj=lcc +lat_1=42.6375622769444 +lat_0=42.6375622769444 +lon_0=-89.8388888888889 +k_0=1.0000390487 +x_0=170078.7403 +y_0=45830.2947 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8170 projected NAD83(HARN) / WISCRS Green and Lafayette (ftUS) -90.43,42.5,-89.36,42.86 1 6152 +proj=lcc +lat_1=42.6375622769444 +lat_0=42.6375622769444 +lon_0=-89.8388888888889 +k_0=1.0000390487 +x_0=170078.74015748 +y_0=45830.2948437897 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8171 projected NAD83(HARN) / WISCRS Grant (m) -91.16,42.5,-90.42,43.22 1 6152 +proj=tmerc +lat_0=41.4111111111111 +lon_0=-90.8 +k=1.0000349452 +x_0=242316.4841 +y_0=0.01 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8172 projected NAD83(HARN) / WISCRS Grant (ftUS) -91.16,42.5,-90.42,43.22 1 6152 +proj=tmerc +lat_0=41.4111111111111 +lon_0=-90.8 +k=1.0000349452 +x_0=242316.484023368 +y_0=0.0100584201168402 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8173 projected NAD83(HARN) / WISCRS Forest (m) -89.05,45.37,-88.42,46.08 1 6152 +proj=tmerc +lat_0=44.0055555555556 +lon_0=-88.6333333333333 +k=1.0000673004 +x_0=275844.5533 +y_0=0.0157 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8177 projected NAD83(HARN) / WISCRS Forest (ftUS) -89.05,45.37,-88.42,46.08 1 6152 +proj=tmerc +lat_0=44.0055555555556 +lon_0=-88.6333333333333 +k=1.0000673004 +x_0=275844.553213106 +y_0=0.0158496316992634 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8179 projected NAD83(HARN) / WISCRS Dunn (m) -92.16,44.68,-91.64,45.21 1 6152 +proj=tmerc +lat_0=44.4083333333333 +lon_0=-91.8944444444444 +k=1.0000410324 +x_0=51816.104 +y_0=0.003 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8180 projected NAD83(HARN) / WISCRS Dunn (ftUS) -92.16,44.68,-91.64,45.21 1 6152 +proj=tmerc +lat_0=44.4083333333333 +lon_0=-91.8944444444444 +k=1.0000410324 +x_0=51816.1039370079 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8181 projected NAD83(HARN) / WISCRS Douglas (m) -92.3,46.15,-91.55,46.76 1 6152 +proj=tmerc +lat_0=45.8833333333333 +lon_0=-91.9166666666667 +k=1.0000385418 +x_0=59131.3183 +y_0=0.0041 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8182 projected NAD83(HARN) / WISCRS Douglas (ftUS) -92.3,46.15,-91.55,46.76 1 6152 +proj=tmerc +lat_0=45.8833333333333 +lon_0=-91.9166666666667 +k=1.0000385418 +x_0=59131.3182626365 +y_0=0.00396240792481585 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8184 projected NAD83(HARN) / WISCRS Door (m) -87.74,44.67,-86.8,45.43 1 6152 +proj=tmerc +lat_0=44.4 +lon_0=-87.2722222222222 +k=1.0000187521 +x_0=158801.1176 +y_0=0.0023 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8185 projected NAD83(HARN) / WISCRS Door (ftUS) -87.74,44.67,-86.8,45.43 1 6152 +proj=tmerc +lat_0=44.4 +lon_0=-87.2722222222222 +k=1.0000187521 +x_0=158801.117602235 +y_0=0.00243840487680975 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8187 projected NAD83(HARN) / WISCRS Dodge and Jefferson (m) -89.02,42.84,-88.4,43.64 1 6152 +proj=tmerc +lat_0=41.4722222222222 +lon_0=-88.775 +k=1.0000346418 +x_0=263347.7263 +y_0=0.0076 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8189 projected NAD83(HARN) / WISCRS Dodge and Jefferson (ftUS) -89.02,42.84,-88.4,43.64 1 6152 +proj=tmerc +lat_0=41.4722222222222 +lon_0=-88.775 +k=1.0000346418 +x_0=263347.726390653 +y_0=0.00762001524003048 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8191 projected NAD83(HARN) / WISCRS Dane (m) -89.84,42.84,-89,43.3 1 6152 +proj=lcc +lat_1=43.0695160375 +lat_0=43.0695160375 +lon_0=-89.4222222222222 +k_0=1.0000384786 +x_0=247193.2944 +y_0=146591.9896 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8193 projected NAD83(HARN) / WISCRS Dane (ftUS) -89.84,42.84,-89,43.3 1 6152 +proj=lcc +lat_1=43.0695160375 +lat_0=43.0695160375 +lon_0=-89.4222222222222 +k_0=1.0000384786 +x_0=247193.294386589 +y_0=146591.989636779 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8196 projected NAD83(HARN) / WISCRS Crawford (m) -91.22,42.98,-90.66,43.43 1 6152 +proj=lcc +lat_1=43.200055605 +lat_0=43.200055605 +lon_0=-90.9388888888889 +k_0=1.0000349151 +x_0=113690.6274 +y_0=53703.1201 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8197 projected NAD83(HARN) / WISCRS Crawford (ftUS) -91.22,42.98,-90.66,43.43 1 6152 +proj=lcc +lat_1=43.200055605 +lat_0=43.200055605 +lon_0=-90.9388888888889 +k_0=1.0000349151 +x_0=113690.627381255 +y_0=53703.1202438405 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8198 projected NAD83(HARN) / WISCRS Columbia (m) -89.79,43.28,-89,43.65 1 6152 +proj=lcc +lat_1=43.4625466458333 +lat_0=43.4625466458333 +lon_0=-89.3944444444444 +k_0=1.00003498 +x_0=169164.3381 +y_0=111569.6134 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8200 projected NAD83(HARN) / WISCRS Columbia (ftUS) -89.79,43.28,-89,43.65 1 6152 +proj=lcc +lat_1=43.4625466458333 +lat_0=43.4625466458333 +lon_0=-89.3944444444444 +k_0=1.00003498 +x_0=169164.338023876 +y_0=111569.613512827 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8201 projected NAD83(HARN) / WISCRS Clark (m) -90.93,44.42,-90.31,45.04 1 6152 +proj=tmerc +lat_0=43.6 +lon_0=-90.7083333333333 +k=1.0000463003 +x_0=199949.1989 +y_0=0.0086 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8202 projected NAD83(HARN) / WISCRS Clark (ftUS) -90.93,44.42,-90.31,45.04 1 6152 +proj=tmerc +lat_0=43.6 +lon_0=-90.7083333333333 +k=1.0000463003 +x_0=199949.198983998 +y_0=0.00853441706883414 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8203 projected NAD83(HARN) / WISCRS Chippewa (m) -91.67,44.85,-90.92,45.3 1 6152 +proj=lcc +lat_1=44.9778568986111 +lat_0=44.9778568986111 +lon_0=-91.2944444444444 +k_0=1.0000391127 +x_0=60045.72 +y_0=44091.4346 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8204 projected NAD83(HARN) / WISCRS Chippewa (ftUS) -91.67,44.85,-90.92,45.3 1 6152 +proj=lcc +lat_1=44.9778568986111 +lat_0=44.9778568986111 +lon_0=-91.2944444444444 +k_0=1.0000391127 +x_0=60045.7200914402 +y_0=44091.434493269 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8205 projected NAD83(HARN) / WISCRS Calumet, Fond du Lac, Outagamie and Winnebago (m) -88.89,43.54,-88.04,44.6 1 6152 +proj=tmerc +lat_0=42.7194444444444 +lon_0=-88.5 +k=1.0000286569 +x_0=244754.8893 +y_0=0.0049 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8206 projected NAD83(HARN) / WISCRS Calumet, Fond du Lac, Outagamie and Winnebago (ftUS) -88.89,43.54,-88.04,44.6 1 6152 +proj=tmerc +lat_0=42.7194444444444 +lon_0=-88.5 +k=1.0000286569 +x_0=244754.889204978 +y_0=0.00487680975361951 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8207 projected NAD83(HARN) / WISCRS Burnett (m) -92.89,45.63,-92.03,46.16 1 6152 +proj=lcc +lat_1=45.8987148658333 +lat_0=45.8987148658333 +lon_0=-92.4577777777778 +k_0=1.0000383841 +x_0=64008.1276 +y_0=59445.9043 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8208 projected NAD83(HARN) / WISCRS Burnett (ftUS) -92.89,45.63,-92.03,46.16 1 6152 +proj=lcc +lat_1=45.8987148658333 +lat_0=45.8987148658333 +lon_0=-92.4577777777778 +k_0=1.0000383841 +x_0=64008.1277114554 +y_0=59445.9041910084 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8209 projected NAD83(HARN) / WISCRS Buffalo (m) -92.09,44.02,-91.52,44.6 1 6152 +proj=tmerc +lat_0=43.4813888888889 +lon_0=-91.7972222222222 +k=1.0000382778 +x_0=175260.3502 +y_0=0.0048 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8210 projected NAD83(HARN) / WISCRS Buffalo (ftUS) -92.09,44.02,-91.52,44.6 1 6152 +proj=tmerc +lat_0=43.4813888888889 +lon_0=-91.7972222222222 +k=1.0000382778 +x_0=175260.3502159 +y_0=0.00487680975361951 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8212 projected NAD83(HARN) / WISCRS Brown (m) -88.26,44.24,-87.76,44.68 1 6152 +proj=tmerc +lat_0=43 +lon_0=-88 +k=1.00002 +x_0=31600 +y_0=4600 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8213 projected NAD83(HARN) / WISCRS Brown (ftUS) -88.26,44.24,-87.76,44.68 1 6152 +proj=tmerc +lat_0=43 +lon_0=-88 +k=1.00002 +x_0=31599.9998983998 +y_0=4599.9998983998 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8214 projected NAD83(HARN) / WISCRS Bayfield (m) -91.56,46.15,-90.75,47.01 1 6152 +proj=lcc +lat_1=46.6696483772222 +lat_0=46.6696483772222 +lon_0=-91.1527777777778 +k_0=1.0000331195 +x_0=228600.4575 +y_0=148551.4837 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8216 projected NAD83(HARN) / WISCRS Bayfield (ftUS) -91.56,46.15,-90.75,47.01 1 6152 +proj=lcc +lat_1=46.6696483772222 +lat_0=46.6696483772222 +lon_0=-91.1527777777778 +k_0=1.0000331195 +x_0=228600.457505715 +y_0=148551.483566167 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8218 projected NAD83(HARN) / WISCRS Barron (m) -92.16,45.2,-91.53,45.65 1 6152 +proj=tmerc +lat_0=45.1333333333333 +lon_0=-91.85 +k=1.0000486665 +x_0=93150 +y_0=0.0029 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8220 projected NAD83(HARN) / WISCRS Barron (ftUS) -92.16,45.2,-91.53,45.65 1 6152 +proj=tmerc +lat_0=45.1333333333333 +lon_0=-91.85 +k=1.0000486665 +x_0=93150 +y_0=0.00304800609601219 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8222 projected NAD83(HARN) / WISCRS Ashland (m) -90.93,45.98,-90.3,47.09 1 6152 +proj=tmerc +lat_0=45.7061111111111 +lon_0=-90.6222222222222 +k=1.0000495683 +x_0=172821.9461 +y_0=0.0017 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8224 projected NAD83(HARN) / WISCRS Ashland (ftUS) -90.93,45.98,-90.3,47.09 1 6152 +proj=tmerc +lat_0=45.7061111111111 +lon_0=-90.6222222222222 +k=1.0000495683 +x_0=172821.945948692 +y_0=0.00182880365760732 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8225 projected NAD83(HARN) / WISCRS Adams and Juneau (m) -90.32,43.64,-89.59,44.25 1 6152 +proj=tmerc +lat_0=43.3666666666667 +lon_0=-90 +k=1.0000365285 +x_0=147218.6942 +y_0=0.0037 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +8226 projected NAD83(HARN) / WISCRS Adams and Juneau (ftUS) -90.32,43.64,-89.59,44.25 1 6152 +proj=tmerc +lat_0=43.3666666666667 +lon_0=-90 +k=1.0000365285 +x_0=147218.694132588 +y_0=0.00365760731521463 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +8232 geographic NAD83(CSRS96) -141.01,38.21,-40.73,86.46 1192 +proj=longlat +ellps=GRS80 +no_defs +8237 geographic NAD83(CSRS)v2 -141.01,38.21,-40.73,86.46 1193 +proj=longlat +ellps=GRS80 +no_defs +8240 geographic NAD83(CSRS)v3 -141.01,38.21,-40.73,86.46 1194 +proj=longlat +ellps=GRS80 +no_defs +8246 geographic NAD83(CSRS)v4 -141.01,38.21,-40.73,86.46 1195 +proj=longlat +ellps=GRS80 +no_defs +8249 geographic NAD83(CSRS)v5 -141.01,38.21,-40.73,86.46 1196 +proj=longlat +ellps=GRS80 +no_defs +8252 geographic NAD83(CSRS)v6 -141.01,38.21,-40.73,86.46 1197 +proj=longlat +ellps=GRS80 +no_defs +8255 geographic NAD83(CSRS)v7 -141.01,38.21,-40.73,86.46 1198 +proj=longlat +ellps=GRS80 +no_defs +8311 projected NAD83(2011) / Oregon Burns-Harper zone (m) -118.61,43.49,-117.49,44.19 2 1116 +proj=tmerc +lat_0=43.5 +lon_0=-117.666666666667 +k=1.00014 +x_0=90000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8312 projected NAD83(2011) / Oregon Burns-Harper zone (ft) -118.61,43.49,-117.49,44.19 2 1116 +proj=tmerc +lat_0=43.5 +lon_0=-117.666666666667 +k=1.00014 +x_0=90000.00001488 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8313 projected NAD83(2011) / Oregon Canyon City-Burns zone (m) -119.22,43.52,-118.52,44.36 2 1116 +proj=tmerc +lat_0=43.5 +lon_0=-119 +k=1.00022 +x_0=20000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8314 projected NAD83(2011) / Oregon Canyon City-Burns zone (ft) -119.22,43.52,-118.52,44.36 2 1116 +proj=tmerc +lat_0=43.5 +lon_0=-119 +k=1.00022 +x_0=19999.99999992 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8315 projected NAD83(2011) / Oregon Coast Range North zone (m) -123.81,45.4,-123.01,45.98 2 1116 +proj=lcc +lat_1=45.5833333333333 +lat_0=45.5833333333333 +lon_0=-123.416666666667 +k_0=1.000045 +x_0=30000 +y_0=20000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8316 projected NAD83(2011) / Oregon Coast Range North zone (ft) -123.81,45.4,-123.01,45.98 2 1116 +proj=lcc +lat_1=45.5833333333333 +lat_0=45.5833333333333 +lon_0=-123.416666666667 +k_0=1.000045 +x_0=30000.00001512 +y_0=19999.99999992 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8317 projected NAD83(2011) / Oregon Dayville-Prairie City zone (m) -119.89,44.24,-118.61,44.94 2 1116 +proj=tmerc +lat_0=44.25 +lon_0=-119.633333333333 +k=1.00012 +x_0=20000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8318 projected NAD83(2011) / Oregon Dayville-Prairie City zone (ft) -119.89,44.24,-118.61,44.94 2 1116 +proj=tmerc +lat_0=44.25 +lon_0=-119.633333333333 +k=1.00012 +x_0=19999.99999992 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8319 projected NAD83(2011) / Oregon Denio-Burns zone (m) -119.41,41.88,-117.67,43.54 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-118.416666666667 +k=1.00019 +x_0=80000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8320 projected NAD83(2011) / Oregon Denio-Burns zone (ft) -119.41,41.88,-117.67,43.54 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-118.416666666667 +k=1.00019 +x_0=79999.99999968 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8321 projected NAD83(2011) / Oregon Halfway zone (m) -117.61,44.61,-116.63,45.28 2 1116 +proj=lcc +lat_1=45.25 +lat_0=45.25 +lon_0=-117.25 +k_0=1.000085 +x_0=40000 +y_0=70000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8322 projected NAD83(2011) / Oregon Halfway zone (ft) -117.61,44.61,-116.63,45.28 2 1116 +proj=lcc +lat_1=45.25 +lat_0=45.25 +lon_0=-117.25 +k_0=1.000085 +x_0=39999.99999984 +y_0=70000.00001496 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8323 projected NAD83(2011) / Oregon Medford-Diamond Lake zone (m) -122.73,42.53,-121.71,43.34 2 1116 +proj=lcc +lat_1=42 +lat_0=42 +lon_0=-122.25 +k_0=1.00004 +x_0=60000 +y_0=-60000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8324 projected NAD83(2011) / Oregon Medford-Diamond Lake zone (ft) -122.73,42.53,-121.71,43.34 2 1116 +proj=lcc +lat_1=42 +lat_0=42 +lon_0=-122.25 +k_0=1.00004 +x_0=59999.99999976 +y_0=-59999.99999976 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8325 projected NAD83(2011) / Oregon Mitchell zone (m) -120.56,44.38,-119.82,44.78 2 1116 +proj=lcc +lat_1=47 +lat_0=47 +lon_0=-120.25 +k_0=0.99927 +x_0=30000 +y_0=290000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8326 projected NAD83(2011) / Oregon Mitchell zone (ft) -120.56,44.38,-119.82,44.78 2 1116 +proj=lcc +lat_1=47 +lat_0=47 +lon_0=-120.25 +k_0=0.99927 +x_0=30000.00001512 +y_0=290000.00001408 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8327 projected NAD83(2011) / Oregon North Central zone (m) -121.79,44.89,-119.03,45.95 2 1116 +proj=lcc +lat_1=46.1666666666667 +lat_0=46.1666666666667 +lon_0=-120.5 +k_0=1 +x_0=100000 +y_0=140000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8328 projected NAD83(2011) / Oregon North Central zone (ft) -121.79,44.89,-119.03,45.95 2 1116 +proj=lcc +lat_1=46.1666666666667 +lat_0=46.1666666666667 +lon_0=-120.5 +k_0=1 +x_0=99999.9999996 +y_0=139999.99999944 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8329 projected NAD83(2011) / Oregon Ochoco Summit zone (m) -121.01,44.21,-120.31,44.61 2 1116 +proj=lcc +lat_1=43.5 +lat_0=43.5 +lon_0=-120.5 +k_0=1.00006 +x_0=40000 +y_0=-80000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8330 projected NAD83(2011) / Oregon Ochoco Summit zone (ft) -121.01,44.21,-120.31,44.61 2 1116 +proj=lcc +lat_1=43.5 +lat_0=43.5 +lon_0=-120.5 +k_0=1.00006 +x_0=39999.99999984 +y_0=-79999.99999968 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8331 projected NAD83(2011) / Oregon Owyhee zone (m) -118.14,41.88,-116.85,43.54 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-117.583333333333 +k=1.00018 +x_0=70000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8332 projected NAD83(2011) / Oregon Owyhee zone (ft) -118.14,41.88,-116.85,43.54 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-117.583333333333 +k=1.00018 +x_0=70000.00001496 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8333 projected NAD83(2011) / Oregon Pilot Rock-Ukiah zone (m) -119.65,44.99,-118.11,46.04 2 1116 +proj=lcc +lat_1=46.1666666666667 +lat_0=46.1666666666667 +lon_0=-119 +k_0=1.000025 +x_0=50000 +y_0=130000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8334 projected NAD83(2011) / Oregon Pilot Rock-Ukiah zone (ft) -119.65,44.99,-118.11,46.04 2 1116 +proj=lcc +lat_1=46.1666666666667 +lat_0=46.1666666666667 +lon_0=-119 +k_0=1.000025 +x_0=50000.00001504 +y_0=130000.00001472 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8335 projected NAD83(2011) / Oregon Prairie City-Brogan zone (m) -118.77,44.16,-117.48,45.02 2 1116 +proj=lcc +lat_1=44 +lat_0=44 +lon_0=-118 +k_0=1.00017 +x_0=60000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8336 projected NAD83(2011) / Oregon Prairie City-Brogan zone (ft) -118.77,44.16,-117.48,45.02 2 1116 +proj=lcc +lat_1=44 +lat_0=44 +lon_0=-118 +k_0=1.00017 +x_0=59999.99999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8337 projected NAD83(2011) / Oregon Riley-Lakeview zone (m) -120.97,41.88,-119.15,43.45 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-120.333333333333 +k=1.000215 +x_0=70000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8338 projected NAD83(2011) / Oregon Riley-Lakeview zone (ft) -120.97,41.88,-119.15,43.45 2 1116 +proj=tmerc +lat_0=41.75 +lon_0=-120.333333333333 +k=1.000215 +x_0=70000.00001496 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8339 projected NAD83(2011) / Oregon Siskiyou Pass zone (m) -122.71,41.95,-121.96,42.46 2 1116 +proj=lcc +lat_1=42.5 +lat_0=42.5 +lon_0=-122.583333333333 +k_0=1.00015 +x_0=10000 +y_0=60000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8340 projected NAD83(2011) / Oregon Siskiyou Pass zone (ft) -122.71,41.95,-121.96,42.46 2 1116 +proj=lcc +lat_1=42.5 +lat_0=42.5 +lon_0=-122.583333333333 +k_0=1.00015 +x_0=10000.0000152 +y_0=59999.99999976 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8341 projected NAD83(2011) / Oregon Ukiah-Fox zone (m) -119.35,44.52,-118.64,45.21 2 1116 +proj=lcc +lat_1=45.25 +lat_0=45.25 +lon_0=-119 +k_0=1.00014 +x_0=30000 +y_0=90000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8342 projected NAD83(2011) / Oregon Ukiah-Fox zone (ft) -119.35,44.52,-118.64,45.21 2 1116 +proj=lcc +lat_1=45.25 +lat_0=45.25 +lon_0=-119 +k_0=1.00014 +x_0=30000.00001512 +y_0=90000.00001488 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8343 projected NAD83(2011) / Oregon Wallowa zone (m) -118.16,45.27,-116.42,46.05 2 1116 +proj=tmerc +lat_0=45.25 +lon_0=-117.5 +k=1.000195 +x_0=60000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8344 projected NAD83(2011) / Oregon Wallowa zone (ft) -118.16,45.27,-116.42,46.05 2 1116 +proj=tmerc +lat_0=45.25 +lon_0=-117.5 +k=1.000195 +x_0=59999.99999976 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8345 projected NAD83(2011) / Oregon Warner Highway zone (m) -120.42,41.95,-119.3,42.43 2 1116 +proj=lcc +lat_1=42.5 +lat_0=42.5 +lon_0=-120 +k_0=1.000245 +x_0=40000 +y_0=60000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8346 projected NAD83(2011) / Oregon Warner Highway zone (ft) -120.42,41.95,-119.3,42.43 2 1116 +proj=lcc +lat_1=42.5 +lat_0=42.5 +lon_0=-120 +k_0=1.000245 +x_0=39999.99999984 +y_0=59999.99999976 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8347 projected NAD83(2011) / Oregon Willamette Pass zone (m) -122.26,42.99,-121.48,44.18 2 1116 +proj=tmerc +lat_0=43 +lon_0=-122 +k=1.000223 +x_0=20000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8348 projected NAD83(2011) / Oregon Willamette Pass zone (ft) -122.26,42.99,-121.48,44.18 2 1116 +proj=tmerc +lat_0=43 +lon_0=-122 +k=1.000223 +x_0=19999.99999992 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +8351 geographic S-JTSK [JTSK03] 16.84,47.73,22.56,49.61 1 1201 +proj=longlat +ellps=bessel +towgs84=485.021,169.465,483.839,7.786342,4.397554,4.102655,0 +no_defs +8352 projected S-JTSK [JTSK03] / Krovak 16.84,47.73,22.56,49.61 1 1201 +proj=krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=485.021,169.465,483.839,7.786342,4.397554,4.102655,0 +units=m +no_defs +8353 projected S-JTSK [JTSK03] / Krovak East North 16.84,47.73,22.56,49.61 1 1201 +proj=krovak +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=485.021,169.465,483.839,7.786342,4.397554,4.102655,0 +units=m +no_defs +8379 projected NAD83 / NCRS Las Vegas (m) -115.5,35.88,-114.71,36.43 4 6269 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.0001 +x_0=100000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8380 projected NAD83 / NCRS Las Vegas (ftUS) -115.5,35.88,-114.71,36.43 4 6269 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.0001 +x_0=99999.99998984 +y_0=200000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8381 projected NAD83 / NCRS Las Vegas high (m) -115.5,35.88,-114.71,36.43 4 6269 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.000135 +x_0=300000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8382 projected NAD83 / NCRS Las Vegas high (ftUS) -115.5,35.88,-114.71,36.43 4 6269 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.000135 +x_0=300000 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8383 projected NAD83(2011) / NCRS Las Vegas (m) -115.5,35.88,-114.71,36.43 2 1116 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.0001 +x_0=100000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8384 projected NAD83(2011) / NCRS Las Vegas (ftUS) -115.5,35.88,-114.71,36.43 2 1116 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.0001 +x_0=99999.99998984 +y_0=200000.00001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8385 projected NAD83(2011) / NCRS Las Vegas high (m) -115.5,35.88,-114.71,36.43 2 1116 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.000135 +x_0=300000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8387 projected NAD83(2011) / NCRS Las Vegas high (ftUS) -115.5,35.88,-114.71,36.43 2 1116 +proj=tmerc +lat_0=36.25 +lon_0=-114.966666666667 +k=1.000135 +x_0=300000 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8391 projected GDA94 / WEIPA94 141.5,-13.5,142.51,-11.49 3 6283 +proj=tmerc +lat_0=0 +lon_0=141 +k=0.999929 +x_0=300000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8395 projected ETRS89 / Gauss-Kruger CM 9E 8.33,53.36,10.41,53.99 1 6258 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8427 geographic Hong Kong Geodetic CS 113.76,22.13,114.51,22.58 1 1209 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8428 geographic Macao 1920 113.52,22.06,113.68,22.23 1207 +proj=longlat +ellps=intl +no_defs +8431 geographic Macao 2008 113.52,22.06,113.68,22.23 1 1208 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8433 projected Macao 1920 / Macao Grid 113.52,22.06,113.68,22.23 1207 +proj=tmerc +lat_0=22.2123972222222 +lon_0=113.536469444444 +k=1 +x_0=20000 +y_0=20000 +ellps=intl +units=m +no_defs +8441 projected Tananarive / Laborde Grid 43.18,-25.64,50.56,-11.89 3 6297 +proj=labrd +lat_0=-18.9 +lon_0=46.4372291666667 +azi=18.9 +k=0.9995 +x_0=400000 +y_0=800000 +ellps=intl +towgs84=-198.383,-240.517,-107.909 +units=m +no_defs +8455 projected RGTAAF07 / UTM zone 53S 136,-66.73,138.01,-65.61 1 1113 +proj=utm +zone=53 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8456 projected RGTAAF07 / UTM zone 54S 138,-67.13,142,-66.1 1 1113 +proj=utm +zone=54 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8518 projected NAD83(2011) / KS RCS zone 1 -102.06,38.69,-101.38,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-101.6 +k=1.000156 +x_0=457200.914401829 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8519 projected NAD83(2011) / KS RCS zone 2 -101.49,38.69,-100.71,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-100.95 +k=1.000134 +x_0=762001.524003048 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8520 projected NAD83(2011) / KS RCS zone 3 -100.82,38.69,-100.14,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-100.35 +k=1.000116 +x_0=1066802.13360427 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8521 projected NAD83(2011) / KS RCS zone 4 -100.19,38.69,-99.03,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-99.45 +k=1.000082 +x_0=1371602.74320549 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8522 projected NAD83(2011) / KS RCS zone 5 -99.07,38.26,-98.47,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-98.6666666666667 +k=1.000078 +x_0=1676403.35280671 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8523 projected NAD83(2011) / KS RCS zone 6 -98.51,38.15,-97.92,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-98.15 +k=1.000068 +x_0=1981203.96240793 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8524 projected NAD83(2011) / KS RCS zone 7 -97.94,38.08,-96.8,40.01 2 1116 +proj=tmerc +lat_0=37.5 +lon_0=-97.3333333333333 +k=1.000049 +x_0=2286004.57200914 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8525 projected NAD83(2011) / KS RCS zone 8 -96.97,38.73,-95.94,39.57 2 1116 +proj=lcc +lat_1=39.1666666666667 +lat_0=39.1666666666667 +lon_0=-96.5 +k_0=1.000044 +x_0=2590805.18161036 +y_0=182880.365760732 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8526 projected NAD83(2011) / KS RCS zone 9 -96.94,38.08,-95.94,38.88 2 1116 +proj=lcc +lat_1=38.5 +lat_0=38.5 +lon_0=-96.5 +k_0=1.00005 +x_0=2895605.79121158 +y_0=91440.1828803658 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8527 projected NAD83(2011) / KS RCS zone 10 -96.81,39.21,-94.85,40.01 2 1116 +proj=lcc +lat_1=39.6333333333333 +lat_0=39.6333333333333 +lon_0=-95.75 +k_0=1.00004 +x_0=3200406.4008128 +y_0=213360.426720853 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8528 projected NAD83(2011) / KS RCS zone 11 -96.04,38.73,-94.58,39.43 2 1116 +proj=lcc +lat_1=39.1 +lat_0=39.1 +lon_0=-95.25 +k_0=1.000033 +x_0=3505207.01041402 +y_0=182880.365760732 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8529 projected NAD83(2011) / KS RCS zone 12 -102.05,36.99,-101.06,38.71 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-101.416666666667 +k=1.00014 +x_0=3810007.62001524 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8531 projected NAD83(2011) / KS RCS zone 13 -101.13,36.99,-100.08,38.71 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-100.4 +k=1.000109 +x_0=4114808.22961646 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8533 projected NAD83(2011) / KS RCS zone 14 -100.25,36.99,-99.54,38.7 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-99.6666666666667 +k=1.000097 +x_0=4419608.83921768 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8534 projected NAD83(2011) / KS RCS zone 15 -99.59,36.99,-98.91,38.7 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-99.2 +k=1.000087 +x_0=4724409.4488189 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8535 projected NAD83(2011) / KS RCS zone 16 -99.03,36.99,-98.34,38.27 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-98.55 +k=1.000069 +x_0=5029210.05842012 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8536 projected NAD83(2011) / KS RCS zone 17 -98.48,37.38,-96.52,38.18 2 1116 +proj=lcc +lat_1=37.7666666666667 +lat_0=37.7666666666667 +lon_0=-97.5 +k_0=1.000059 +x_0=5334010.66802134 +y_0=121920.243840488 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8538 projected NAD83(2011) / KS RCS zone 18 -98.35,36.99,-96.52,37.48 2 1116 +proj=lcc +lat_1=37.1833333333333 +lat_0=37.1833333333333 +lon_0=-97.5 +k_0=1.000055 +x_0=5638811.27762256 +y_0=60960.1219202439 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8539 projected NAD83(2011) / KS RCS zone 19 -96.53,36.99,-95.5,38.88 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-95.9666666666667 +k=1.000034 +x_0=5943611.88722378 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8540 projected NAD83(2011) / KS RCS zone 20 -95.53,36.99,-94.6,38.74 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-95.0833333333333 +k=1.000031 +x_0=6248412.49682499 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +8545 geographic NAD83(HARN Corrected) -67.97,17.62,-64.51,18.57 1212 +proj=longlat +ellps=GRS80 +no_defs +8677 projected MGI 1901 / Balkans zone 5 13.38,42.95,16.5,46.88 5 1031 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9999 +x_0=5500000 +y_0=0 +ellps=bessel +towgs84=682,-203,480 +units=m +no_defs +8678 projected MGI 1901 / Balkans zone 6 16.5,41.79,19.51,46.55 5 1031 +proj=tmerc +lat_0=0 +lon_0=18 +k=0.9999 +x_0=6500000 +y_0=0 +ellps=bessel +towgs84=682,-203,480 +units=m +no_defs +8679 projected MGI 1901 / Balkans zone 8 22.5,41.11,23.04,44.7 5 1031 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9999 +x_0=8500000 +y_0=0 +ellps=bessel +towgs84=682,-203,480 +units=m +no_defs +8682 projected SRB_ETRS89 / UTM zone 34N 18.81,42.23,23.01,46.19 1 1214 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8685 geographic SRB_ETRS89 18.81,42.23,23.01,46.19 1 1214 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8686 projected MGI 1901 / Slovenia Grid 13.38,45.42,16.61,46.88 1 1031 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9999 +x_0=500000 +y_0=0 +ellps=bessel +towgs84=476.08,125.947,417.81,4.610862,2.388137,-11.942335,9.896638 +units=m +no_defs +8687 projected Slovenia 1996 / UTM zone 33N 13.38,45.42,16.61,46.88 1 6765 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8692 projected NAD83(MA11) / UTM zone 54N 141.19,10.95,144.01,23.9 1118 +proj=utm +zone=54 +ellps=GRS80 +units=m +no_defs +8693 projected NAD83(MA11) / UTM zone 55N 144,11.05,149.55,23.9 1118 +proj=utm +zone=55 +ellps=GRS80 +units=m +no_defs +8694 geographic Camacupa 2015 8.2,-18.02,24.09,-4.38 3 1217 +proj=longlat +a=6378249.145 +rf=293.465 +towgs84=-93.799,-132.737,-219.073,-1.844,0.648,-6.37,-0.169 +no_defs +8699 geographic RSAO13 8.2,-18.02,24.09,-4.38 1 1220 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8818 geographic MTRF-2000 34.44,16.29,55.67,32.16 1 1218 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8826 projected NAD83 / Idaho Transverse Mercator -117.24,41.99,-111.04,49.01 4 6269 +proj=tmerc +lat_0=42 +lon_0=-114 +k=0.9996 +x_0=2500000 +y_0=1200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8836 projected MTRF-2000 / UTM zone 36N 34.44,24.92,36.01,29.38 1 1218 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8837 projected MTRF-2000 / UTM zone 37N 36,16.29,42,32.16 1 1218 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8838 projected MTRF-2000 / UTM zone 38N 41.99,16.35,48,31.15 1 1218 +proj=utm +zone=38 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8839 projected MTRF-2000 / UTM zone 39N 47.99,17.94,54.01,28.94 1 1218 +proj=utm +zone=39 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8840 projected MTRF-2000 / UTM zone 40N 54,19.66,55.67,22.77 1 1218 +proj=utm +zone=40 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8857 projected WGS 84 / Equal Earth Greenwich -180,-90,180,90 6326 +proj=eqearth +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +8858 projected WGS 84 / Equal Earth Americas 90.01,-90,89.99,90 6326 +proj=eqearth +lon_0=-90 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +8859 projected WGS 84 / Equal Earth Asia-Pacific -29.99,-90,-30.01,90 6326 +proj=eqearth +lon_0=150 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +8860 geographic NAD83(FBN) 144.58,-14.59,-64.51,49.38 1211 +proj=longlat +ellps=GRS80 +no_defs +8888 geographic WGS 84 (Transit) -180,-90,180,90 2 1166 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +8900 geographic RGWF96 179.49,-15.94,-174.27,-9.84 1 1223 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8902 geographic RGWF96 (lon-lat) 179.49,-15.94,-174.27,-9.84 1 1223 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8903 projected RGWF96 / UTM zone 1S 179.49,-15.94,-174.27,-9.84 1 1223 +proj=utm +zone=1 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8907 geographic CR-SIRGAS epoch 2014.59 -90.45,2.15,-81.43,11.77 1225 +proj=longlat +ellps=GRS80 +no_defs +8908 projected CR-SIRGAS epoch 2014.59 / CRTM05 -85.97,7.98,-82.53,11.22 1225 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +8909 projected CR-SIRGAS epoch 2014.59 / UTM zone 16N -90.45,2.15,-82.92,11.11 1225 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +8910 projected CR-SIRGAS epoch 2014.59 / UTM zone 17N -83.6,9.6,-81.43,11.77 1225 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +8949 geographic SIRGAS-Chile 2010 -113.21,-59.87,-65.72,-17.5 22 1243 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +8950 projected SIRGAS-Chile 2010 / UTM zone 18S -78,-59.36,-71.99,-18.35 22 1243 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8951 projected SIRGAS-Chile 2010 / UTM zone 19S -72,-59.87,-66,-17.5 22 1243 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +8972 geographic SIRGAS-CON DGF00P01 -122.19,-59.87,-25.28,32.72 1227 +proj=longlat +ellps=GRS80 +no_defs +8973 geographic SIRGAS-CON DGF01P01 -122.19,-59.87,-25.28,32.72 1228 +proj=longlat +ellps=GRS80 +no_defs +8974 geographic SIRGAS-CON DGF01P02 -122.19,-59.87,-25.28,32.72 1229 +proj=longlat +ellps=GRS80 +no_defs +8975 geographic SIRGAS-CON DGF02P01 -122.19,-59.87,-25.28,32.72 1230 +proj=longlat +ellps=GRS80 +no_defs +8976 geographic SIRGAS-CON DGF04P01 -122.19,-59.87,-25.28,32.72 1231 +proj=longlat +ellps=GRS80 +no_defs +8977 geographic SIRGAS-CON DGF05P01 -122.19,-59.87,-25.28,32.72 1232 +proj=longlat +ellps=GRS80 +no_defs +8978 geographic SIRGAS-CON DGF06P01 -122.19,-59.87,-25.28,32.72 1233 +proj=longlat +ellps=GRS80 +no_defs +8979 geographic SIRGAS-CON DGF07P01 -122.19,-59.87,-25.28,32.72 1234 +proj=longlat +ellps=GRS80 +no_defs +8980 geographic SIRGAS-CON DGF08P01 -122.19,-59.87,-25.28,32.72 1235 +proj=longlat +ellps=GRS80 +no_defs +8981 geographic SIRGAS-CON SIR09P01 -122.19,-59.87,-25.28,32.72 1236 +proj=longlat +ellps=GRS80 +no_defs +8982 geographic SIRGAS-CON SIR10P01 -122.19,-59.87,-25.28,32.72 1237 +proj=longlat +ellps=GRS80 +no_defs +8983 geographic SIRGAS-CON SIR11P01 -122.19,-59.87,-25.28,32.72 1238 +proj=longlat +ellps=GRS80 +no_defs +8984 geographic SIRGAS-CON SIR13P01 -122.19,-59.87,-25.28,32.72 1239 +proj=longlat +ellps=GRS80 +no_defs +8985 geographic SIRGAS-CON SIR14P01 -122.19,-59.87,-25.28,32.72 1240 +proj=longlat +ellps=GRS80 +no_defs +8986 geographic SIRGAS-CON SIR15P01 -122.19,-59.87,-25.28,32.72 1241 +proj=longlat +ellps=GRS80 +no_defs +8987 geographic SIRGAS-CON SIR17P01 -122.19,-59.87,-25.28,32.72 1242 +proj=longlat +ellps=GRS80 +no_defs +8988 geographic ITRF88 -180,-90,180,90 6647 +proj=longlat +ellps=GRS80 +no_defs +8989 geographic ITRF89 -180,-90,180,90 6648 +proj=longlat +ellps=GRS80 +no_defs +8990 geographic ITRF90 -180,-90,180,90 6649 +proj=longlat +ellps=GRS80 +no_defs +8991 geographic ITRF91 -180,-90,180,90 6650 +proj=longlat +ellps=GRS80 +no_defs +8992 geographic ITRF92 -180,-90,180,90 6651 +proj=longlat +ellps=GRS80 +no_defs +8993 geographic ITRF93 -180,-90,180,90 6652 +proj=longlat +ellps=GRS80 +no_defs +8994 geographic ITRF94 -180,-90,180,90 6653 +proj=longlat +ellps=GRS80 +no_defs +8995 geographic ITRF96 -180,-90,180,90 6654 +proj=longlat +ellps=GRS80 +no_defs +8996 geographic ITRF97 -180,-90,180,90 6655 +proj=longlat +ellps=GRS80 +no_defs +8997 geographic ITRF2000 -180,-90,180,90 1 6656 +proj=longlat +ellps=GRS80 +towgs84=-0.321999999999999,0.372,-0.153000000000006 +no_defs +8998 geographic ITRF2005 -180,-90,180,90 6896 +proj=longlat +ellps=GRS80 +no_defs +8999 geographic ITRF2008 -180,-90,180,90 1061 +proj=longlat +ellps=GRS80 +no_defs +9000 geographic ITRF2014 -180,-90,180,90 1165 +proj=longlat +ellps=GRS80 +no_defs +9003 geographic IGS97 -180,-90,180,90 1244 +proj=longlat +ellps=GRS80 +no_defs +9006 geographic IGS00 -180,-90,180,90 1245 +proj=longlat +ellps=GRS80 +no_defs +9009 geographic IGb00 -180,-90,180,90 1246 +proj=longlat +ellps=GRS80 +no_defs +9012 geographic IGS05 -180,-90,180,90 1247 +proj=longlat +ellps=GRS80 +no_defs +9014 geographic IGS08 -180,-90,180,90 1141 +proj=longlat +ellps=GRS80 +no_defs +9017 geographic IGb08 -180,-90,180,90 1248 +proj=longlat +ellps=GRS80 +no_defs +9019 geographic IGS14 -180,-90,180,90 1191 +proj=longlat +ellps=GRS80 +no_defs +9039 projected ISN2016 / LAEA Europe -30.87,59.96,-5.55,69.59 1 1187 +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9040 projected ISN2016 / LCC Europe -30.87,59.96,-5.55,69.59 1 1187 +proj=lcc +lat_0=52 +lon_0=10 +lat_1=35 +lat_2=65 +x_0=4000000 +y_0=2800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9053 geographic WGS 84 (G730) -180,-90,180,90 2 1152 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +9054 geographic WGS 84 (G873) -180,-90,180,90 2 1153 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +9055 geographic WGS 84 (G1150) -180,-90,180,90 2 1154 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +9056 geographic WGS 84 (G1674) -180,-90,180,90 2 1155 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +9057 geographic WGS 84 (G1762) -180,-90,180,90 2 1156 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +9059 geographic ETRF89 -16.1,33.26,38.01,84.73 1.1 1178 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9060 geographic ETRF90 -16.1,33.26,38.01,84.73 1.1 1179 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9061 geographic ETRF91 -16.1,33.26,38.01,84.73 1.1 1180 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9062 geographic ETRF92 -16.1,33.26,38.01,84.73 1.1 1181 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9063 geographic ETRF93 -16.1,33.26,38.01,84.73 1.1 1182 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9064 geographic ETRF94 -16.1,33.26,38.01,84.73 1.1 1183 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9065 geographic ETRF96 -16.1,33.26,38.01,84.73 1.1 1184 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9066 geographic ETRF97 -16.1,33.26,38.01,84.73 1.1 1185 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9067 geographic ETRF2000 -16.1,33.26,38.01,84.73 1.1 1186 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9068 geographic ETRF2005 -16.1,33.26,38.01,84.73 1.1 1204 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9069 geographic ETRF2014 -16.1,33.26,38.01,84.73 1.1 1206 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9072 geographic NAD83(MARP00) 129.48,1.64,149.55,23.9 1221 +proj=longlat +ellps=GRS80 +no_defs +9075 geographic NAD83(PACP00) 157.47,-17.56,-151.27,31.8 1249 +proj=longlat +ellps=GRS80 +no_defs +9140 geographic KOSOVAREF01 19.97,41.85,21.8,43.25 1 1251 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9141 projected KOSOVAREF01 / Balkans zone 7 19.97,41.85,21.8,43.25 1 1251 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=7500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9148 geographic SIRGAS-Chile 2013 -113.21,-59.87,-65.72,-17.5 22 1252 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9149 projected SIRGAS-Chile 2013 / UTM zone 18S -78,-59.36,-71.99,-18.35 22 1252 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9150 projected SIRGAS-Chile 2013 / UTM zone 19S -72,-59.87,-66,-17.5 22 1252 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9153 geographic SIRGAS-Chile 2016 -113.21,-59.87,-65.72,-17.5 22 1253 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9154 projected SIRGAS-Chile 2016 / UTM zone 18S -78,-59.36,-71.99,-18.35 22 1253 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9155 projected SIRGAS-Chile 2016 / UTM zone 19S -72,-59.87,-66,-17.5 22 1253 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9156 projected RSAO13 / UTM zone 32S 8.2,-17.28,12.01,-5.03 1 1220 +proj=utm +zone=32 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9157 projected RSAO13 / UTM zone 33S 12,-17.44,18,-4.38 1 1220 +proj=utm +zone=33 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9158 projected RSAO13 / UTM zone 34S 17.99,-18.02,24.09,-6.91 1 1220 +proj=utm +zone=34 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9159 projected RSAO13 / TM 12 SE 8.2,-17.26,13.86,-6.01 1 1220 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9996 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9191 projected WGS 84 / NIWA Albers 155,-60,-169.99,-25 6326 +proj=aea +lat_0=-40 +lon_0=175 +lat_1=-30 +lat_2=-50 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +9205 projected VN-2000 / TM-3 103-00 102.14,20.89,103.99,22.82 1 6756 +proj=tmerc +lat_0=0 +lon_0=103 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9206 projected VN-2000 / TM-3 104-00 103.21,20.57,105.03,22.04 1 6756 +proj=tmerc +lat_0=0 +lon_0=104 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9207 projected VN-2000 / TM-3 104-30 103.4,8.33,105.54,10.55 1 6756 +proj=tmerc +lat_0=0 +lon_0=104.5 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9208 projected VN-2000 / TM-3 104-45 103.53,10.18,105.86,22.85 1 6756 +proj=tmerc +lat_0=0 +lon_0=104.75 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9209 projected VN-2000 / TM-3 105-30 104.33,9.19,106.69,23.4 1 6756 +proj=tmerc +lat_0=0 +lon_0=105.5 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9210 projected VN-2000 / TM-3 105-45 105.26,9.75,107.8,23.12 1 6756 +proj=tmerc +lat_0=0 +lon_0=105.75 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9211 projected VN-2000 / TM-3 106-00 104.83,16.92,107.03,22.7 1 6756 +proj=tmerc +lat_0=0 +lon_0=106 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9212 projected VN-2000 / TM-3 106-15 106.41,11.3,107.43,17.22 1 6756 +proj=tmerc +lat_0=0 +lon_0=106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9213 projected VN-2000 / TM-3 106-30 105.43,21.32,106.25,22.75 1 6756 +proj=tmerc +lat_0=0 +lon_0=106.5 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9214 projected VN-2000 / TM-3 107-00 105.88,15.99,108.24,21.63 1 6756 +proj=tmerc +lat_0=0 +lon_0=107 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9215 projected VN-2000 / TM-3 107-15 106.09,21.32,107.37,22.47 1 6756 +proj=tmerc +lat_0=0 +lon_0=107.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9216 projected VN-2000 / TM-3 107-30 107.33,13.92,108.55,15.42 1 6756 +proj=tmerc +lat_0=0 +lon_0=107.5 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9217 projected VN-2000 / TM-3 108-15 108.55,11.25,109.53,14.71 1 6756 +proj=tmerc +lat_0=0 +lon_0=108.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9218 projected VN-2000 / TM-3 108-30 107.2,10.43,109.52,14.61 1 6756 +proj=tmerc +lat_0=0 +lon_0=108.5 +k=0.9999 +x_0=500000 +y_0=0 +ellps=WGS84 +towgs84=-191.90441429,-39.30318279,-111.45032835,0.00928836,-0.01975479,0.00427372,0.252906278 +units=m +no_defs +9221 projected Hartebeesthoek94 / ZAF BSU Albers 25E 13.33,-38.17,36.54,-22.13 1 6148 +proj=aea +lat_0=-30 +lon_0=25 +lat_1=-22 +lat_2=-38 +x_0=1400000 +y_0=1300000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +9222 projected Hartebeesthoek94 / ZAF BSU Albers 44E 32.71,-50.32,42.85,-43.26 1 6148 +proj=aea +lat_0=-42 +lon_0=44 +lat_1=-34 +lat_2=-50 +x_0=1200000 +y_0=1300000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +9248 geographic Tapi Aike -73.28,-52.43,-68.3,-50.33 5 1257 +proj=longlat +ellps=intl +towgs84=-192.26,65.72,132.08 +no_defs +9249 projected Tapi Aike / Argentina 1 -73.28,-52,-70.5,-50.33 5 1257 +proj=tmerc +lat_0=-90 +lon_0=-72 +k=1 +x_0=1500000 +y_0=0 +ellps=intl +towgs84=-192.26,65.72,132.08 +units=m +no_defs +9250 projected Tapi Aike / Argentina 2 -70.5,-52.43,-68.3,-50.33 5 1257 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=-192.26,65.72,132.08 +units=m +no_defs +9251 geographic MMN -68.64,-55.11,-63.73,-52.59 2.5 1258 +proj=longlat +ellps=intl +towgs84=-9.5,122.9,138.2 +no_defs +9252 projected MMN / Argentina 2 -68.64,-55.11,-63.73,-52.59 2.5 1258 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=-9.5,122.9,138.2 +units=m +no_defs +9253 geographic MMS -68.64,-55.11,-63.73,-52.59 2.5 1259 +proj=longlat +ellps=intl +towgs84=-78.1,101.6,133.3 +no_defs +9254 projected MMS / Argentina 2 -68.64,-55.11,-63.73,-52.59 2.5 1259 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=-78.1,101.6,133.3 +units=m +no_defs +9265 projected POSGAR 2007 / UTM zone 19S -68.62,-54.61,-66,-51.65 0.5 1062 +proj=utm +zone=19 +south +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +9271 projected MGI / Austria West 9.53,46.77,11.84,47.61 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=10.3333333333333 +k=1 +x_0=0 +y_0=0 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +9272 projected MGI / Austria Central 11.83,46.4,14.84,48.79 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=13.3333333333333 +k=1 +x_0=0 +y_0=0 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +9273 projected MGI / Austria East 14.83,46.56,17.17,49.02 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=16.3333333333333 +k=1 +x_0=0 +y_0=0 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +9284 projected Pampa del Castillo / Argentina 1 -73.59,-50.34,-70.5,-44.94 2.5 6161 +proj=tmerc +lat_0=-90 +lon_0=-72 +k=1 +x_0=1500000 +y_0=0 +ellps=intl +towgs84=-233.43,6.65,173.64 +units=m +no_defs +9285 projected Pampa del Castillo / Argentina 3 -67.5,-49.05,-65.47,-43.58 2.5 6161 +proj=tmerc +lat_0=-90 +lon_0=-66 +k=1 +x_0=3500000 +y_0=0 +ellps=intl +towgs84=-233.43,6.65,173.64 +units=m +no_defs +9294 geographic ONGD17 51.99,14.33,63.38,26.74 0.1 1263 +proj=longlat +ellps=GRS80 +towgs84=1.16835,-1.42001,-2.24431,-0.00822,-0.05508,0.01818,0.23388 +no_defs +9295 projected ONGD17 / UTM zone 39N 51.99,14.94,54.01,19.67 0.1 1263 +proj=utm +zone=39 +ellps=GRS80 +towgs84=1.16835,-1.42001,-2.24431,-0.00822,-0.05508,0.01818,0.23388 +units=m +no_defs +9296 projected ONGD17 / UTM zone 40N 54,14.33,60.01,26.74 0.1 1263 +proj=utm +zone=40 +ellps=GRS80 +towgs84=1.16835,-1.42001,-2.24431,-0.00822,-0.05508,0.01818,0.23388 +units=m +no_defs +9297 projected ONGD17 / UTM zone 41N 60,16.37,63.38,24.09 0.1 1263 +proj=utm +zone=41 +ellps=GRS80 +towgs84=1.16835,-1.42001,-2.24431,-0.00822,-0.05508,0.01818,0.23388 +units=m +no_defs +9299 geographic HS2-IRF -2.75,51.45,0,53.3 1264 +proj=longlat +ellps=GRS80 +no_defs +9300 projected HS2 Survey Grid -2.75,51.45,0,53.3 1264 +proj=tmerc +lat_0=52.3 +lon_0=-1.5 +k=1 +x_0=198873.0046 +y_0=375064.3871 +ellps=GRS80 +units=m +no_defs +9309 geographic ATRF2014 93.41,-60.55,173.34,-8.47 1291 +proj=longlat +ellps=GRS80 +no_defs +9333 geographic KSA-GRF17 34.44,16.29,55.67,32.16 1 1268 +proj=longlat +ellps=GRS80 +towgs84=0,0,0,-0.008393,0.000749,-0.010276,0 +no_defs +9354 projected WGS 84 / IBCSO Polar Stereographic -180,-90,180,-50 6326 +proj=stere +lat_0=-90 +lat_ts=-65 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +9356 projected KSA-GRF17 / UTM zone 36N 34.44,24.92,36.01,29.38 1 1268 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0,-0.008393,0.000749,-0.010276,0 +units=m +no_defs +9357 projected KSA-GRF17 / UTM zone 37N 36,16.29,42,32.16 1 1268 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0,-0.008393,0.000749,-0.010276,0 +units=m +no_defs +9358 projected KSA-GRF17 / UTM zone 38N 41.99,16.35,48,31.15 1 1268 +proj=utm +zone=38 +ellps=GRS80 +towgs84=0,0,0,-0.008393,0.000749,-0.010276,0 +units=m +no_defs +9359 projected KSA-GRF17 / UTM zone 39N 47.99,17.94,54.01,28.94 1 1268 +proj=utm +zone=39 +ellps=GRS80 +towgs84=0,0,0,-0.008393,0.000749,-0.010276,0 +units=m +no_defs +9360 projected KSA-GRF17 / UTM zone 40N 54,19.66,55.67,22.77 1 1268 +proj=utm +zone=40 +ellps=GRS80 +towgs84=0,0,0,-0.008393,0.000749,-0.010276,0 +units=m +no_defs +9364 geographic TPEN11-IRF -3.14,53.32,-1.34,53.9 1266 +proj=longlat +ellps=GRS80 +no_defs +9367 projected TPEN11 Grid -3.14,53.32,-1.34,53.9 1266 +proj=tmerc +lat_0=53.5 +lon_0=-2.25 +k=1 +x_0=203252.175 +y_0=407512.765 +ellps=GRS80 +units=m +no_defs +9372 geographic MML07-IRF -1.89,51.46,0.16,53.42 1271 +proj=longlat +ellps=GRS80 +no_defs +9373 projected MML07 Grid -1.89,51.46,0.16,53.42 1271 +proj=tmerc +lat_0=52.45 +lon_0=-0.85 +k=1 +x_0=49350.157 +y_0=108398.212 +ellps=GRS80 +units=m +no_defs +9377 projected MAGNA-SIRGAS 2018 / Origen-Nacional -84.77,-4.23,-66.87,15.51 1 1329 +proj=tmerc +lat_0=4 +lon_0=-73 +k=0.9992 +x_0=5000000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9380 geographic IGb14 -180,-90,180,90 1272 +proj=longlat +ellps=GRS80 +no_defs +9384 geographic AbInvA96_2020-IRF -4.31,57.1,-2.1,57.71 1273 +proj=longlat +ellps=GRS80 +no_defs +9387 projected AbInvA96_2020 Grid -4.31,57.1,-2.1,57.71 1273 +proj=tmerc +lat_0=57.4 +lon_0=-3.2 +k=1 +x_0=155828.702 +y_0=115225.707 +ellps=GRS80 +units=m +no_defs +9391 projected BGS2005 / UTM zone 35N 24,41.24,30.01,44.15 1 1167 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9403 geographic PN68 -18.22,27.58,-13.37,29.47 44 1286 +proj=longlat +ellps=intl +towgs84=-307,-92,127 +no_defs +9404 projected PN68 / UTM zone 27N -18.22,27.59,-18,27.88 44 1286 +proj=utm +zone=27 +ellps=intl +towgs84=-307,-92,127 +units=m +no_defs +9405 projected PN68 / UTM zone 28N -18.06,27.58,-13.37,29.47 44 1286 +proj=utm +zone=28 +ellps=intl +towgs84=-307,-92,127 +units=m +no_defs +9406 projected PN84 / UTM zone 27N -18.22,27.59,-18,27.88 44 6728 +proj=utm +zone=27 +ellps=intl +towgs84=-307,-92,127 +units=m +no_defs +9407 projected PN84 / UTM zone 28N -18.06,27.58,-16.08,28.9 44 6728 +proj=utm +zone=28 +ellps=intl +towgs84=-307,-92,127 +units=m +no_defs +9453 geographic GBK19-IRF -4.65,55.55,-4.05,55.95 1289 +proj=longlat +ellps=GRS80 +no_defs +9456 projected GBK19 Grid -4.65,55.55,-4.05,55.95 1289 +proj=tmerc +lat_0=55.75 +lon_0=-4.35 +k=1 +x_0=93720.394 +y_0=113870.493 +ellps=GRS80 +units=m +no_defs +9470 geographic SRGI2013 92.01,-13.95,141.46,7.79 1293 +proj=longlat +ellps=WGS84 +no_defs +9473 projected GDA2020 / Australian Albers 112.85,-43.7,153.69,-9.86 3 1168 +proj=aea +lat_0=0 +lon_0=132 +lat_1=-18 +lat_2=-36 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9474 geographic PZ-90.02 -180,-90,180,90 1157 +proj=longlat +a=6378136 +rf=298.257839303 +no_defs +9475 geographic PZ-90.11 -180,-90,180,90 1158 +proj=longlat +a=6378136 +rf=298.257839303 +no_defs +9476 projected SRGI2013 / UTM zone 46N 92.01,0,96,7.79 1293 +proj=utm +zone=46 +ellps=WGS84 +units=m +no_defs +9477 projected SRGI2013 / UTM zone 47N 96,0,102,7.49 1293 +proj=utm +zone=47 +ellps=WGS84 +units=m +no_defs +9478 projected SRGI2013 / UTM zone 48N 102,0,108,6.94 1293 +proj=utm +zone=48 +ellps=WGS84 +units=m +no_defs +9479 projected SRGI2013 / UTM zone 49N 108,0,114,7.37 1293 +proj=utm +zone=49 +ellps=WGS84 +units=m +no_defs +9480 projected SRGI2013 / UTM zone 50N 114,0,120,4.37 1293 +proj=utm +zone=50 +ellps=WGS84 +units=m +no_defs +9481 projected SRGI2013 / UTM zone 51N 120,0,126,5.48 1293 +proj=utm +zone=51 +ellps=WGS84 +units=m +no_defs +9482 projected SRGI2013 / UTM zone 52N 126,0,132,6.68 1293 +proj=utm +zone=52 +ellps=WGS84 +units=m +no_defs +9487 projected SRGI2013 / UTM zone 47S 96,-8.86,102,0 1293 +proj=utm +zone=47 +south +ellps=WGS84 +units=m +no_defs +9488 projected SRGI2013 / UTM zone 48S 102,-10.73,108.01,0 1293 +proj=utm +zone=48 +south +ellps=WGS84 +units=m +no_defs +9489 projected SRGI2013 / UTM zone 49S 108,-12.07,114,0 1293 +proj=utm +zone=49 +south +ellps=WGS84 +units=m +no_defs +9490 projected SRGI2013 / UTM zone 50S 114,-13.06,120.01,0 1293 +proj=utm +zone=50 +south +ellps=WGS84 +units=m +no_defs +9491 projected SRGI2013 / UTM zone 51S 120,-13.95,126.01,0.01 1293 +proj=utm +zone=51 +south +ellps=WGS84 +units=m +no_defs +9492 projected SRGI2013 / UTM zone 52S 126,-9.45,132,0 1293 +proj=utm +zone=52 +south +ellps=WGS84 +units=m +no_defs +9493 projected SRGI2013 / UTM zone 53S 132,-10.06,138.01,0 1293 +proj=utm +zone=53 +south +ellps=WGS84 +units=m +no_defs +9494 projected SRGI2013 / UTM zone 54S 138,-10.84,141.46,0 1293 +proj=utm +zone=54 +south +ellps=WGS84 +units=m +no_defs +9498 projected POSGAR 2007 / CABA 2019 -58.54,-34.71,-58.29,-34.5 0.5 1062 +proj=tmerc +lat_0=-34.6292666666667 +lon_0=-58.4633083333333 +k=1 +x_0=20000 +y_0=70000 +ellps=WGS84 +towgs84=-0.41,0.46,-0.35 +units=m +no_defs +9547 geographic LTF2004(G) 4.65,44.87,7.88,45.89 1295 +proj=longlat +ellps=GRS80 +no_defs +9549 projected LTF2004(C) 4.65,44.87,7.88,45.89 1295 +proj=lcc +lat_1=44.3791666666667 +k_0=1 +lat_0=45.1833333333333 +lon_0=6.81666666666667 +x_0=150000 +y_0=50000 +ellps=GRS80 +units=m +no_defs +9674 projected NAD83 / USFS R6 Albers -124.79,41.98,-116.47,49.05 4 6269 +proj=aea +lat_0=34 +lon_0=-120 +lat_1=43 +lat_2=48 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9678 projected Gulshan 303 / Bangladesh Transverse Mercator 88.01,20.52,92.67,26.64 1 6682 +proj=tmerc +lat_0=0 +lon_0=90 +k=0.9996 +x_0=500000 +y_0=-2000000 +ellps=evrst30 +towgs84=283.729,735.942,261.143 +units=m +no_defs +9680 projected WGS 84 / TM 90 NE 88.01,18.56,92.67,26.64 6326 +proj=tmerc +lat_0=0 +lon_0=90 +k=0.9996 +x_0=500000 +y_0=0 +datum=WGS84 +units=m +no_defs +9696 geographic REDGEOMIN -113.21,-59.87,-65.72,-17.5 1304 +proj=longlat +ellps=GRS80 +no_defs +9697 projected REDGEOMIN / UTM zone 12S -109.51,-27.25,-109.16,-27.01 1304 +proj=utm +zone=12 +south +ellps=GRS80 +units=m +no_defs +9698 projected REDGEOMIN / UTM zone 18S -78,-59.36,-71.99,-18.35 1304 +proj=utm +zone=18 +south +ellps=GRS80 +units=m +no_defs +9699 projected REDGEOMIN / UTM zone 19S -72,-59.87,-66,-17.5 1304 +proj=utm +zone=19 +south +ellps=GRS80 +units=m +no_defs +9702 geographic ETRF2000-PL 14.14,49,24.15,55.93 1 1305 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9709 projected NAD83(CSRS) / UTM zone 23N -48,39.85,-42,54.47 1 6140 +proj=utm +zone=23 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +9712 projected NAD83 / UTM zone 24N -42,45.53,-40.73,49.53 6269 +proj=utm +zone=24 +ellps=GRS80 +units=m +no_defs +9713 projected NAD83(CSRS) / UTM zone 24N -42,45.53,-40.73,49.53 1 6140 +proj=utm +zone=24 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +9716 projected IGM95 / UTM zone 34N 17.99,34.76,18.99,41.64 1 6670 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9739 geographic EOS21-IRF -3.56,55.55,-1.94,57.21 1308 +proj=longlat +ellps=GRS80 +no_defs +9741 projected EOS21 Grid -3.56,55.55,-1.94,57.21 1308 +proj=tmerc +lat_0=56.35 +lon_0=-2.75 +k=1 +x_0=74996.927 +y_0=133508.35 +ellps=GRS80 +units=m +no_defs +9748 projected NAD83(2011) / Alabama East (ftUS) -86.79,30.99,-84.89,35 2 1116 +proj=tmerc +lat_0=30.5 +lon_0=-85.8333333333333 +k=0.99996 +x_0=200000.0001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +9749 projected NAD83(2011) / Alabama West (ftUS) -88.48,30.14,-86.3,35.02 2 1116 +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +9755 geographic WGS 84 (G2139) -180,-90,180,90 2 1309 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +9758 geographic ECML14_NB-IRF -1.9,54.85,-1.3,55.3 1310 +proj=longlat +ellps=GRS80 +no_defs +9761 projected ECML14_NB Grid -1.9,54.85,-1.3,55.3 1310 +proj=tmerc +lat_0=55.05 +lon_0=-1.55 +k=1 +x_0=112242.8512 +y_0=402313.7432 +ellps=GRS80 +units=m +no_defs +9763 geographic EWR2-IRF -1.43,51.7,-0.36,52.24 1311 +proj=longlat +ellps=GRS80 +no_defs +9766 projected EWR2 Grid -1.43,51.7,-0.36,52.24 1311 +proj=tmerc +lat_0=51.95 +lon_0=-0.9 +k=1 +x_0=192519.9715 +y_0=146942.6806 +ellps=GRS80 +units=m +no_defs +9777 geographic RGF93 v2 -9.86,41.15,10.38,51.56 1 1312 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9779 geographic RGF93 v2 (lon-lat) -9.86,41.15,10.38,51.56 1 1312 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9782 geographic RGF93 v2b -9.86,41.15,10.38,51.56 1 1313 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9784 geographic RGF93 v2b (lon-lat) -9.86,41.15,10.38,51.56 1 1313 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +9793 projected RGF93 v2 / Lambert-93 -9.86,41.15,10.38,51.56 1 1312 +proj=lcc +lat_0=46.5 +lon_0=3 +lat_1=49 +lat_2=44 +x_0=700000 +y_0=6600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9794 projected RGF93 v2b / Lambert-93 -9.86,41.15,10.38,51.56 1 1313 +proj=lcc +lat_0=46.5 +lon_0=3 +lat_1=49 +lat_2=44 +x_0=700000 +y_0=6600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9821 projected UCS-2000 / LCS-32 Kyiv region 29.26,49.17,32.16,51.55 1 1077 +proj=tmerc +lat_0=0 +lon_0=30.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9822 projected RGF93 v2 / CC42 -1.06,41.31,9.63,43.07 1 1312 +proj=lcc +lat_0=42 +lon_0=3 +lat_1=41.25 +lat_2=42.75 +x_0=1700000 +y_0=1200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9823 projected RGF93 v2 / CC43 -1.79,42.33,7.65,44.01 1 1312 +proj=lcc +lat_0=43 +lon_0=3 +lat_1=42.25 +lat_2=43.75 +x_0=1700000 +y_0=2200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9824 projected RGF93 v2 / CC44 -1.79,42.92,7.71,45 1 1312 +proj=lcc +lat_0=44 +lon_0=3 +lat_1=43.25 +lat_2=44.75 +x_0=1700000 +y_0=3200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9825 projected RGF93 v2 / CC45 -1.46,44,7.71,46 1 1312 +proj=lcc +lat_0=45 +lon_0=3 +lat_1=44.25 +lat_2=45.75 +x_0=1700000 +y_0=4200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9826 projected RGF93 v2 / CC46 -2.21,45,7.16,47 1 1312 +proj=lcc +lat_0=46 +lon_0=3 +lat_1=45.25 +lat_2=46.75 +x_0=1700000 +y_0=5200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9827 projected RGF93 v2 / CC47 -4.77,46,7.63,48 1 1312 +proj=lcc +lat_0=47 +lon_0=3 +lat_1=46.25 +lat_2=47.75 +x_0=1700000 +y_0=6200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9828 projected RGF93 v2 / CC48 -4.87,47,8.23,49 1 1312 +proj=lcc +lat_0=48 +lon_0=3 +lat_1=47.25 +lat_2=48.75 +x_0=1700000 +y_0=7200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9829 projected RGF93 v2 / CC49 -4.87,48,8.23,50 1 1312 +proj=lcc +lat_0=49 +lon_0=3 +lat_1=48.25 +lat_2=49.75 +x_0=1700000 +y_0=8200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9830 projected RGF93 v2 / CC50 -2.03,49,8.08,51.14 1 1312 +proj=lcc +lat_0=50 +lon_0=3 +lat_1=49.25 +lat_2=50.75 +x_0=1700000 +y_0=9200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9831 projected UCS-2000 / LCS-01 Crimea 32.47,44.38,36.65,46.24 1 1077 +proj=tmerc +lat_0=0 +lon_0=34.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9832 projected UCS-2000 / LCS-05 Vinnytsia 27.37,48.06,30.02,49.89 1 1077 +proj=tmerc +lat_0=0 +lon_0=28.6666666666667 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9833 projected UCS-2000 / LCS-07 Volyn 23.6,50.28,26.11,51.97 1 1077 +proj=tmerc +lat_0=0 +lon_0=24.8333333333333 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9834 projected UCS-2000 / LCS-12 Dnipropetrovsk 32.95,47.45,36.94,49.19 1 1077 +proj=tmerc +lat_0=0 +lon_0=35 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9835 projected UCS-2000 / LCS-14 Donetsk 36.54,46.86,39.1,49.24 1 1077 +proj=tmerc +lat_0=0 +lon_0=37.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9836 projected UCS-2000 / LCS-18 Zhytomyr 27.19,49.58,29.74,51.68 1 1077 +proj=tmerc +lat_0=0 +lon_0=28.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9837 projected UCS-2000 / LCS-21 Zakarpattia 22.13,47.89,24.63,49.1 1 1077 +proj=tmerc +lat_0=0 +lon_0=23.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9838 projected UCS-2000 / LCS-23 Zaporizhzhia 34.17,46.07,37.25,48.15 1 1077 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9839 projected UCS-2000 / LCS-26 Ivano-Frankivsk 23.53,47.72,25.66,49.56 1 1077 +proj=tmerc +lat_0=0 +lon_0=24.75 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9840 projected UCS-2000 / LCS-35 Kirovohrad 29.74,47.74,33.9,49.25 1 1077 +proj=tmerc +lat_0=0 +lon_0=32 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9841 projected UCS-2000 / LCS-44 Luhansk 37.83,47.82,40.23,50.09 1 1077 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9842 projected RGF93 v2b / CC42 -1.06,41.31,9.63,43.07 1 1313 +proj=lcc +lat_0=42 +lon_0=3 +lat_1=41.25 +lat_2=42.75 +x_0=1700000 +y_0=1200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9843 projected RGF93 v2b / CC43 -1.79,42.33,7.65,44.01 1 1313 +proj=lcc +lat_0=43 +lon_0=3 +lat_1=42.25 +lat_2=43.75 +x_0=1700000 +y_0=2200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9844 projected RGF93 v2b / CC44 -1.79,42.92,7.71,45 1 1313 +proj=lcc +lat_0=44 +lon_0=3 +lat_1=43.25 +lat_2=44.75 +x_0=1700000 +y_0=3200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9845 projected RGF93 v2b / CC45 -1.46,44,7.71,46 1 1313 +proj=lcc +lat_0=45 +lon_0=3 +lat_1=44.25 +lat_2=45.75 +x_0=1700000 +y_0=4200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9846 projected RGF93 v2b / CC46 -2.21,45,7.16,47 1 1313 +proj=lcc +lat_0=46 +lon_0=3 +lat_1=45.25 +lat_2=46.75 +x_0=1700000 +y_0=5200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9847 projected RGF93 v2b / CC47 -4.77,46,7.63,48 1 1313 +proj=lcc +lat_0=47 +lon_0=3 +lat_1=46.25 +lat_2=47.75 +x_0=1700000 +y_0=6200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9848 projected RGF93 v2b / CC48 -4.87,47,8.23,49 1 1313 +proj=lcc +lat_0=48 +lon_0=3 +lat_1=47.25 +lat_2=48.75 +x_0=1700000 +y_0=7200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9849 projected RGF93 v2b / CC49 -4.87,48,8.23,50 1 1313 +proj=lcc +lat_0=49 +lon_0=3 +lat_1=48.25 +lat_2=49.75 +x_0=1700000 +y_0=8200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9850 projected RGF93 v2b / CC50 -2.03,49,8.08,51.14 1 1313 +proj=lcc +lat_0=50 +lon_0=3 +lat_1=49.25 +lat_2=50.75 +x_0=1700000 +y_0=9200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9851 projected UCS-2000 / LCS-46 Lviv 22.64,48.71,25.43,50.65 1 1077 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9852 projected UCS-2000 / LCS-48 Mykolaiv 30.2,46.36,33.19,48.23 1 1077 +proj=tmerc +lat_0=0 +lon_0=31.8333333333333 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9853 projected UCS-2000 / LCS-51 Odessa 28.21,45.2,31.3,48.24 1 1077 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9854 projected UCS-2000 / LCS-53 Poltava 32.08,48.74,35.49,50.55 1 1077 +proj=tmerc +lat_0=0 +lon_0=33.8333333333333 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9855 projected UCS-2000 / LCS-56 Rivne 25.08,50,27.74,51.95 1 1077 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9856 projected UCS-2000 / LCS-59 Sumy 32.93,50.1,35.67,52.37 1 1077 +proj=tmerc +lat_0=0 +lon_0=34.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9857 projected UCS-2000 / LCS-61 Ternopil 24.71,48.5,26.45,50.27 1 1077 +proj=tmerc +lat_0=0 +lon_0=25.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9858 projected UCS-2000 / LCS-63 Kharkiv 34.84,48.52,38.1,50.46 1 1077 +proj=tmerc +lat_0=0 +lon_0=36.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9859 projected UCS-2000 / LCS-65 Kherson 31.51,45.75,35.11,47.6 1 1077 +proj=tmerc +lat_0=0 +lon_0=33.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9860 projected UCS-2000 / LCS-68 Khmelnytsky 26.13,48.45,27.9,50.59 1 1077 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9861 projected UCS-2000 / LCS-71 Cherkasy 29.6,48.45,32.89,50.23 1 1077 +proj=tmerc +lat_0=0 +lon_0=31.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9862 projected UCS-2000 / LCS-73 Chernivtsi 24.9,47.72,27.54,48.68 1 1077 +proj=tmerc +lat_0=0 +lon_0=26 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9863 projected UCS-2000 / LCS-74 Chernihiv 30.48,50.34,33.51,52.38 1 1077 +proj=tmerc +lat_0=0 +lon_0=32 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9864 projected UCS-2000 / LCS-80 Kyiv city 30.23,50.21,30.83,50.59 1 1077 +proj=tmerc +lat_0=0 +lon_0=30.5 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9865 projected UCS-2000 / LCS-85 Sevastopol 33.37,44.38,33.93,44.85 1 1077 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=24,-121,-76 +units=m +no_defs +9866 geographic MRH21-IRF -3.27,51.35,-0.36,53.26 1314 +proj=longlat +ellps=GRS80 +no_defs +9869 projected MRH21 Grid -3.27,51.35,-0.36,53.26 1314 +proj=tmerc +lat_0=52.3 +lon_0=-1.8 +k=1 +x_0=227286.9881 +y_0=265751.2874 +ellps=GRS80 +units=m +no_defs +9871 geographic MOLDOR11-IRF -2.4,53.25,-1.39,53.55 1315 +proj=longlat +ellps=GRS80 +no_defs +9874 projected PNG94 / PNGMG94 zone 57 156,-14.26,162.01,-1.11 2 1076 +proj=utm +zone=57 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9875 projected PNG94 / PNGMG94 zone 58 162,-4.36,162.81,-2.34 2 1076 +proj=utm +zone=58 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9880 projected MOLDOR11 Grid -2.4,53.25,-1.39,53.55 1315 +proj=tmerc +lat_0=53.35 +lon_0=-1.9 +k=1 +x_0=226574.2032 +y_0=390894.838 +ellps=GRS80 +units=m +no_defs +9939 geographic EBBWV14-IRF -3.3,51.5,-2.89,51.85 1319 +proj=longlat +ellps=GRS80 +no_defs +9943 projected EBBWV14 Grid -3.3,51.5,-2.89,51.85 1319 +proj=tmerc +lat_0=51.75 +lon_0=-3.1 +k=1 +x_0=106702.326 +y_0=119968.1395 +ellps=GRS80 +units=m +no_defs +9945 projected Macedonia State Coordinate System truncated 20.45,40.85,23.04,42.36 2 1031 +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=521.748,229.489,590.921,4.029,4.488,-15.521,-9.78 +units=m +no_defs +9947 projected ISN2004 / LAEA Iceland -30.87,59.96,-5.55,69.59 1 1060 +proj=laea +lat_0=65 +lon_0=-19 +x_0=1700000 +y_0=1300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +9964 geographic HULLEE13-IRF -1.7,53.6,-0.27,53.9 1317 +proj=longlat +ellps=GRS80 +no_defs +9967 projected HULLEE13 Grid -1.7,53.6,-0.27,53.9 1317 +proj=tmerc +lat_0=53.75 +lon_0=-0.95 +k=1 +x_0=140859.7394 +y_0=247512.2812 +ellps=GRS80 +units=m +no_defs +9969 geographic SCM22-IRF -4.4,55.7,-3.3,57.55 1320 +proj=longlat +ellps=GRS80 +no_defs +9972 projected SCM22 Grid -4.4,55.7,-3.3,57.55 1320 +proj=tmerc +lat_0=56.6 +lon_0=-3.85 +k=1 +x_0=108600.972 +y_0=239087.349 +ellps=GRS80 +units=m +no_defs +9974 geographic FNL22-IRF -4.6,57.4,-3,58.64 1321 +proj=longlat +ellps=GRS80 +no_defs +9977 projected FNL22 Grid -4.6,57.4,-3,58.64 1321 +proj=tmerc +lat_0=58 +lon_0=-3.8 +k=1 +x_0=139618.9493 +y_0=183110.794 +ellps=GRS80 +units=m +no_defs +9990 geographic ITRF2020 -180,-90,180,90 1322 +proj=longlat +ellps=GRS80 +no_defs +10158 geographic S34J-IRF 8,54.67,11.29,57.8 1332 +proj=longlat +ellps=intl +no_defs +10160 projected S34J reconstruction east-orientated 8,54.67,11.29,57.8 1332 +proj=tmerc +lat_0=0 +lon_0=10.37 +k=1 +x_0=-210327 +y_0=-6034310 +ellps=intl +units=m +no_defs +10175 geographic DoPw22-IRF -4.51,52.45,-3.8,53.01 1334 +proj=longlat +ellps=GRS80 +no_defs +10178 geographic IGS20 -180,-90,180,90 1333 +proj=longlat +ellps=GRS80 +no_defs +10183 projected DoPw22 Grid -4.51,52.45,-3.8,53.01 1334 +proj=tmerc +lat_0=52.7 +lon_0=-4.15 +k=1 +x_0=64859.6557 +y_0=122266.5277 +ellps=GRS80 +units=m +no_defs +10185 geographic ShAb07-IRF -4.16,52.37,-2.6,52.77 1335 +proj=longlat +ellps=GRS80 +no_defs +10188 projected ShAb07 Grid -4.16,52.37,-2.6,52.77 1335 +proj=tmerc +lat_0=52.6 +lon_0=-3.35 +k=1 +x_0=56023.5377 +y_0=24567.6764 +ellps=GRS80 +units=m +no_defs +10191 geographic CNH22-IRF -4.71,53.02,-2.28,53.46 1336 +proj=longlat +ellps=GRS80 +no_defs +10194 projected CNH22 Grid -4.71,53.02,-2.28,53.46 1336 +proj=lcc +lat_0=53.25 +lon_0=-3.5 +lat_1=53.1 +lat_2=53.4 +x_0=212548.8756 +y_0=495230.9254 +ellps=GRS80 +units=m +no_defs +10196 geographic CWS13-IRF -3.16,52.5,-2.65,53.26 1338 +proj=longlat +ellps=GRS80 +no_defs +10199 projected CWS13 Grid -3.16,52.5,-2.65,53.26 1338 +proj=tmerc +lat_0=52.4 +lon_0=-2.9 +k=1 +x_0=199668.0926 +y_0=89354.3229 +ellps=GRS80 +units=m +no_defs +10204 geographic DIBA15-IRF -1.46,51.57,-1.15,52.11 1339 +proj=longlat +ellps=GRS80 +no_defs +10207 projected DIBA15 Grid -1.46,51.57,-1.15,52.11 1339 +proj=tmerc +lat_0=51.85 +lon_0=-1.3 +k=1 +x_0=511622.854 +y_0=324737.4633 +ellps=GRS80 +units=m +no_defs +10209 geographic GWPBS22-IRF -4.26,51.25,-0.1,52.06 1340 +proj=longlat +ellps=GRS80 +no_defs +10212 projected GWPBS22 Grid -4.26,51.25,-0.1,52.06 1340 +proj=lcc +lat_0=51.65 +lon_0=-2.65 +lat_1=51.4 +lat_2=51.9 +x_0=168854.016 +y_0=193447.117 +ellps=GRS80 +units=m +no_defs +10214 geographic GWWAB22-IRF -3.6,51.35,-3.12,51.81 1341 +proj=longlat +ellps=GRS80 +no_defs +10217 projected GWWAB22 Grid -3.6,51.35,-3.12,51.81 1341 +proj=lcc +lat_0=51.65 +lon_0=-2.65 +lat_1=51.4 +lat_2=51.9 +x_0=168854.016 +y_0=193447.117 +ellps=GRS80 +units=m +no_defs +10219 geographic GWWWA22-IRF -5.16,51.55,-3.6,52.06 1342 +proj=longlat +ellps=GRS80 +no_defs +10222 projected GWWWA22 Grid -5.16,51.55,-3.6,52.06 1342 +proj=lcc +lat_0=51.65 +lon_0=-2.65 +lat_1=51.4 +lat_2=51.9 +x_0=168854.016 +y_0=193447.117 +ellps=GRS80 +units=m +no_defs +10224 geographic MALS09-IRF -2.26,51.45,-0.05,52.91 1343 +proj=longlat +ellps=GRS80 +no_defs +10227 projected MALS09 Grid -2.26,51.45,-0.05,52.91 1343 +proj=tmerc +lat_0=52.2 +lon_0=-1.15 +k=1 +x_0=175262.1809 +y_0=174688.2508 +ellps=GRS80 +units=m +no_defs +10229 geographic OxWo08-IRF -2.31,51.65,-1.15,52.26 1344 +proj=longlat +ellps=GRS80 +no_defs +10235 projected OxWo08 Grid -2.31,51.65,-1.15,52.26 1344 +proj=tmerc +lat_0=51.95 +lon_0=-1.7 +k=1 +x_0=134791.6965 +y_0=121872.5056 +ellps=GRS80 +units=m +no_defs +10237 geographic SYC20-IRF -2.91,52.65,-2.3,53.16 1345 +proj=longlat +ellps=GRS80 +no_defs +10240 projected SYC20 Grid -2.91,52.65,-2.3,53.16 1345 +proj=tmerc +lat_0=52.9 +lon_0=-2.6 +k=1 +x_0=110094.4312 +y_0=120623.8396 +ellps=GRS80 +units=m +no_defs +10249 geographic S34S-IRF 10.79,54.51,12.87,56.79 1337 +proj=longlat +ellps=intl +no_defs +10250 projected S34S reconstruction east-orientated 10.79,54.51,12.87,56.79 1337 +proj=tmerc +lat_0=0 +lon_0=10.37 +k=1 +x_0=-210327 +y_0=-6034310 +ellps=intl +units=m +no_defs +10252 geographic S45B-IRF 14.59,54.94,15.25,55.38 1346 +proj=longlat +ellps=intl +no_defs +10254 projected S45B reconstruction east-orientated 14.59,54.94,15.25,55.38 1346 +proj=tmerc +lat_0=55.11171 +lon_0=14.88927 +k=1 +x_0=-50000 +y_0=50000 +ellps=intl +units=m +no_defs +10256 geographic GS-IRF 8,54.51,12.87,57.8 1347 +proj=longlat +a=6377019.27 +rf=300 +no_defs +10258 projected GS reconstruction east-orientated 8,54.51,12.87,57.8 1347 +proj=lcc +lat_1=56 +k_0=1 +lat_0=55 +lon_0=10.37775 +x_0=0 +y_0=0 +a=6377019.27 +rf=300 +units=m +no_defs +10260 geographic GSB-IRF 14.59,54.94,15.25,55.38 1348 +proj=longlat +a=6377019.27 +rf=300 +no_defs +10262 projected GSB reconstruction east-orientated 14.59,54.94,15.25,55.38 1348 +proj=lcc +lat_1=56 +k_0=1 +lat_0=55 +lon_0=14.92775 +x_0=-18831.46 +y_0=5614.621 +a=6377019.27 +rf=300 +units=m +no_defs +10265 geographic KK-IRF 12.23,55.51,12.73,55.82 1349 +proj=longlat +a=6377019.27 +rf=300 +no_defs +10266 projected KK reconstruction east-orientated 12.23,55.51,12.73,55.82 1349 +proj=lcc +lat_1=56 +k_0=1 +lat_0=55 +lon_0=10.37775 +x_0=0 +y_0=0 +a=6377019.27 +rf=300 +units=m +no_defs +10268 geographic Ostenfeld-IRF 8.37,54.8,10.16,55.47 1350 +proj=longlat +ellps=bessel +no_defs +10270 projected Ostenfeld reconstruction 8.37,54.8,10.16,55.47 1350 +proj=tmerc +lat_0=54.4685 +lon_0=9.233 +k=1 +x_0=0 +y_0=0 +ellps=bessel +units=m +no_defs +10272 geographic SMITB20-IRF -4.11,50.65,-3.6,50.86 1351 +proj=longlat +ellps=GRS80 +no_defs +10275 projected SMITB20 Grid -4.11,50.65,-3.6,50.86 1351 +proj=tmerc +lat_0=50.75 +lon_0=-3.85 +k=1 +x_0=110693.666 +y_0=102089.2943 +ellps=GRS80 +units=m +no_defs +10277 geographic RBEPP12-IRF -5.63,50.05,-0.85,51.71 1352 +proj=longlat +ellps=GRS80 +no_defs +10280 projected RBEPP12 Grid -5.63,50.05,-0.85,51.71 1352 +proj=lcc +lat_0=50.85 +lon_0=-3.25 +lat_1=50.3 +lat_2=51.45 +x_0=372382.8292 +y_0=217764.7796 +ellps=GRS80 +units=m +no_defs +10284 geographic ETRS89/DREF91/2016 3.34,47.27,15.04,55.92 1353 +proj=longlat +ellps=GRS80 +no_defs +10285 projected ETRS89/DREF91/2016 / 3-degree Gauss-Kruger zone 3 8.33,53.36,10.41,53.99 1353 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10286 projected ETRS89/DREF91/2016 / UTM zone 31N (N-zE) 3.34,50.97,6.01,55.92 1353 +proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10287 projected ETRS89/DREF91/2016 / UTM zone 31N (zE-N) 3.34,50.97,6.01,55.92 1353 +proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10288 projected ETRS89/DREF91/2016 / UTM zone 32N (N-zE) 6,47.27,12.01,55.47 1353 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9996 +x_0=32500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10289 projected ETRS89/DREF91/2016 / UTM zone 32N (zE-N) 6,47.27,12.01,55.47 1353 +proj=tmerc +lat_0=0 +lon_0=9 +k=0.9996 +x_0=32500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10290 projected ETRS89/DREF91/2016 / UTM zone 33N (N-zE) 11.57,47.46,15.04,55.03 1353 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9996 +x_0=33500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10291 projected ETRS89/DREF91/2016 / UTM zone 33N (zE-N) 11.57,47.46,15.04,55.03 1353 +proj=tmerc +lat_0=0 +lon_0=15 +k=0.9996 +x_0=33500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +10299 geographic RGSH2020 -8.67,18.97,11.99,38.8 1 1355 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10305 geographic LKS-2020 19.06,55.67,28.24,58.09 1 1356 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10306 projected LKS-2020 / Latvia TM 19.06,55.67,28.24,58.09 1 1356 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9996 +x_0=500000 +y_0=-6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10307 geographic RGNC91-93 (lon-lat) 156.25,-26.45,174.28,-14.83 1 6749 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10310 geographic RGNC15 156.25,-26.45,174.28,-14.83 1 1357 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10312 geographic RGNC15 (lon-lat) 156.25,-26.45,174.28,-14.83 1 1357 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10314 projected RGNC15 / Lambert New Caledonia 2015 163.54,-22.73,168.19,-19.5 1 1357 +proj=lcc +lat_0=-21.5 +lon_0=166 +lat_1=-20.6666666666667 +lat_2=-22.3333333333333 +x_0=2400000 +y_0=2300000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10315 projected RGNC15 / UTM zone 57S 156.25,-26.03,162.01,-15.34 1 1357 +proj=utm +zone=57 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10316 projected RGNC15 / UTM zone 58S 162,-26.45,168,-14.83 1 1357 +proj=utm +zone=58 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10317 projected RGNC15 / UTM zone 59S 168,-25.95,174.28,-19.75 1 1357 +proj=utm +zone=59 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10328 geographic BH_ETRS89 15.74,42.56,19.62,45.27 1 1358 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10329 projected BH_ETRS89 / TM 15.74,42.56,19.62,45.27 1 1358 +proj=tmerc +lat_0=0 +lon_0=18 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10345 geographic Hughes 1980 -180,-90,180,90 1359 +proj=longlat +a=6378273 +b=6356889.449 +no_defs +10346 geographic NSIDC Authalic Sphere -180,-90,180,90 1360 +proj=longlat +R=6371228 +no_defs +10414 geographic NAD83(CSRS)v8 -141.01,38.21,-40.73,86.46 1365 +proj=longlat +ellps=GRS80 +no_defs +10448 projected GDA94 / ALB94 117.55,-35.21,118.22,-34.75 3 6283 +proj=tmerc +lat_0=0 +lon_0=117.883333333333 +k=1.0000044 +x_0=50000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10449 projected GDA94 / BIO94 114.9,-22.2,115.59,-20.21 3 6283 +proj=tmerc +lat_0=0 +lon_0=115.25 +k=1.0000022 +x_0=60000 +y_0=2600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10450 projected GDA94 / BRO94 122.08,-18.09,122.62,-16.75 3 6283 +proj=tmerc +lat_0=0 +lon_0=122.333333333333 +k=1.00000298 +x_0=50000 +y_0=2200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10451 projected GDA94 / BCG94 115.18,-33.75,115.87,-33.4 3 6283 +proj=tmerc +lat_0=0 +lon_0=115.433333333333 +k=0.99999592 +x_0=50000 +y_0=3900000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10452 projected GDA94 / CARN94 113.33,-25.5,114,-23 3 6283 +proj=tmerc +lat_0=0 +lon_0=113.666666666667 +k=0.99999796 +x_0=50000 +y_0=2950000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10453 projected GDA94 / COL94 115.73,-34.67,116.4,-33.25 3 6283 +proj=tmerc +lat_0=0 +lon_0=115.933333333333 +k=1.000019 +x_0=40000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10454 projected GDA94 / ESP94 121.56,-34.5,122.2,-33.33 3 6283 +proj=tmerc +lat_0=0 +lon_0=121.883333333333 +k=1.0000055 +x_0=50000 +y_0=3950000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10455 projected GDA94 / EXM94 113.75,-22.42,114.25,-21.75 3 6283 +proj=tmerc +lat_0=0 +lon_0=114.066666666667 +k=1.00000236 +x_0=50000 +y_0=2650000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10456 projected GDA94 / GCG94 114.51,-29.1,115,-28.48 3 6283 +proj=tmerc +lat_0=0 +lon_0=114.583333333333 +k=1.00000628 +x_0=50000 +y_0=3350000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10457 projected GDA94 / GOLD94 121,-32.25,121.84,-28.75 3 6283 +proj=tmerc +lat_0=0 +lon_0=121.5 +k=1.00004949 +x_0=60000 +y_0=3700000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10458 projected GDA94 / JCG94 114.83,-30.74,115.34,-29.08 3 6283 +proj=tmerc +lat_0=0 +lon_0=114.983333333333 +k=1.00000314 +x_0=50000 +y_0=3550000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10459 projected GDA94 / KALB94 113.9,-28.5,114.75,-27.16 3 6283 +proj=tmerc +lat_0=0 +lon_0=114.315277777778 +k=1.000014 +x_0=55000 +y_0=3600000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10460 projected GDA94 / KAR94 116.58,-20.92,117.25,-20.25 3 6283 +proj=tmerc +lat_0=0 +lon_0=116.933333333333 +k=0.9999989 +x_0=50000 +y_0=2450000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10461 projected GDA94 / KUN94 128.5,-16.75,129,-14.75 3 6283 +proj=tmerc +lat_0=0 +lon_0=128.75 +k=1.0000165 +x_0=50000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10462 projected GDA94 / LCG94 115.15,-31.49,115.62,-30.71 3 6283 +proj=tmerc +lat_0=0 +lon_0=115.366666666667 +k=1.00000157 +x_0=50000 +y_0=3650000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10463 projected GDA94 / MRCG94 114.96,-34.42,115.24,-33.51 3 6283 +proj=tmerc +lat_0=0 +lon_0=115.166666666667 +k=1.0000055 +x_0=50000 +y_0=3950000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10464 projected GDA94 / PCG94 115.44,-33.42,116.09,-31.33 3 6283 +proj=tmerc +lat_0=0 +lon_0=115.816666666667 +k=0.99999906 +x_0=50000 +y_0=3800000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10465 projected GDA94 / PHG94 118.25,-20.79,118.97,-20.1 3 6283 +proj=tmerc +lat_0=0 +lon_0=118.6 +k=1.00000135 +x_0=50000 +y_0=2400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10468 geographic COV23-IRF -1.85,52.3,-1.3,52.5 1366 +proj=longlat +ellps=GRS80 +no_defs +10471 projected COV23 Grid -1.85,52.3,-1.3,52.5 1366 +proj=tmerc +lat_0=52.4 +lon_0=-1.55 +k=1 +x_0=116887.9989 +y_0=102194.9369 +ellps=GRS80 +units=m +no_defs +10475 geographic BBT2000 11.04,46.45,11.91,47.33 1 1367 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +10477 projected BBT2000 / BBT-TM 11.04,46.45,11.91,47.33 1 1367 +proj=tmerc +lat_0=46.9807763055556 +lon_0=11.52849375 +k=1.000121 +x_0=20000 +y_0=100000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +10481 projected NAD83 / TWDB GM -106.66,25.83,-93.5,36.5 4 6269 +proj=aea +lat_0=31.25 +lon_0=-100 +lat_1=27.5 +lat_2=35 +x_0=1500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10516 projected NAD83(2011) / Adjusted Jackson (ftUS) -91.17,44.07,-90.31,44.6 2 1116 +proj=tmerc +lat_0=44.2533353222222 +lon_0=-90.8442965138889 +k=1.0000353 +x_0=27000 +y_0=24999.9998983998 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10571 geographic ETRF2020 -16.1,33.26,38.01,84.73 1.1 1382 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10592 projected WGS 84 / GLANCE Africa -31.68,-43.89,79.3,38.8 6326 +proj=laea +lat_0=5 +lon_0=20 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10594 projected WGS 84 / GLANCE Asia 31.45,-10.8,-168.43,83.67 6326 +proj=laea +lat_0=45 +lon_0=100 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10596 projected WGS 84 / GLANCE Europe -42.52,29.24,51.73,83.67 6326 +proj=laea +lat_0=55 +lon_0=20 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10598 projected WGS 84 / GLANCE North America -180,7.98,180,90 6326 +proj=laea +lat_0=50 +lon_0=-100 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10601 projected WGS 84 / GLANCE Oceania 72.37,-60.56,-121.05,21.57 6326 +proj=laea +lat_0=-15 +lon_0=135 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10603 projected WGS 84 / GLANCE South America -124.82,-59.87,-14.58,30.31 6326 +proj=laea +lat_0=-15 +lon_0=-60 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10606 geographic WGS 84 (G2296) -180,-90,180,90 2 1383 +proj=longlat +ellps=WGS84 +towgs84=0,0,0 +no_defs +10623 geographic ECML14-IRF -3.45,51.45,0.05,56.1 1385 +proj=longlat +ellps=GRS80 +no_defs +10626 projected ECML14 Grid -3.45,51.45,0.05,56.1 1385 +proj=tmerc +lat_0=53.8 +lon_0=-1.6 +k=1 +x_0=108021.121 +y_0=263196.8721 +ellps=GRS80 +units=m +no_defs +10628 geographic WC05-IRF -4.33,51.4,-0.04,55.92 1386 +proj=longlat +ellps=GRS80 +no_defs +10632 projected WC05 Grid -4.33,51.4,-0.04,55.92 1386 +proj=tmerc +lat_0=53.45 +lon_0=-2.15 +k=1 +x_0=209900.2337 +y_0=401958.2494 +ellps=GRS80 +units=m +no_defs +10636 geographic Saba -63.31,17.56,-63.16,17.71 1379 +proj=longlat +ellps=intl +no_defs +10639 geographic BES2020 Saba -63.31,17.56,-63.16,17.71 0.5 1380 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10641 projected Saba DPnet -63.31,17.56,-63.16,17.71 1379 +proj=tmerc +lat_0=0 +lon_0=-63 +k=0.9996 +x_0=29973.97 +y_0=-1947925.94 +ellps=intl +units=m +no_defs +10665 projected SIRGAS 2000 / Porto Alegre TM -51.3,-30.27,-51.01,-29.93 1 6674 +proj=tmerc +lat_0=0 +lon_0=-51 +k=0.999995 +x_0=300000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10671 geographic RGM23 43.68,-14.49,46.7,-11.33 1 1389 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10673 geographic RGM23 (lon-lat) 43.68,-14.49,46.7,-11.33 1 1389 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10674 projected RGM23 / UTM zone 38S 43.68,-14.49,46.7,-11.33 1 1389 +proj=utm +zone=38 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10690 geographic EUREF-FIN 19.08,58.84,31.59,70.09 1 1391 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10699 projected EUREF-FIN / UTM zone 34N 19.08,58.84,24,69.33 1 1391 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10702 projected EUREF-FIN / UTM zone 36N 30,61.73,31.59,67.71 1 1391 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10725 geographic UZGD2024 55.99,37.18,73.17,45.58 1 1392 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10726 projected UZGD2024 / UzREF24 zone 40 55.99,41.25,60,45.58 1 1392 +proj=tmerc +lat_0=40 +lon_0=57 +k=0.9999984965 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10727 projected UZGD2024 / UzREF24 zone 41 60,38.22,66,44.82 1 1392 +proj=tmerc +lat_0=37 +lon_0=63 +k=0.99999730738 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10728 projected UZGD2024 / UzREF24 zone 42 66,37.18,72,43 1 1392 +proj=tmerc +lat_0=36 +lon_0=69 +k=0.9999962402 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10729 projected UZGD2024 / UzREF24 zone 43 72,40.26,73.17,41.21 1 1392 +proj=tmerc +lat_0=39 +lon_0=75 +k=0.999995546 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10731 projected ETRS89/DREF91/2016 / UTM zone 31N 3.34,50.97,6.01,55.92 1353 +proj=utm +zone=31 +ellps=GRS80 +units=m +no_defs +10732 projected ETRS89/DREF91/2016 / UTM zone 32N 6,47.27,12.01,55.47 1353 +proj=utm +zone=32 +ellps=GRS80 +units=m +no_defs +10733 projected ETRS89/DREF91/2016 / UTM zone 33N 11.57,47.46,15.04,55.03 1353 +proj=utm +zone=33 +ellps=GRS80 +units=m +no_defs +10736 geographic Sint Eustatius -63.05,17.41,-62.88,17.58 1393 +proj=longlat +ellps=intl +no_defs +10739 geographic BES2020 Sint Eustatius -63.05,17.41,-62.88,17.58 0.5 1394 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10744 projected Sint Eustatius DPnet short -63.05,17.41,-62.88,17.58 1393 +proj=tmerc +lat_0=0 +lon_0=-63 +k=0.9996 +x_0=578.55 +y_0=-1930396.26 +ellps=intl +units=m +no_defs +10745 projected Sint Eustatius DPnet long -63.05,17.41,-62.88,17.58 1393 +proj=utm +zone=20 +ellps=intl +units=m +no_defs +10758 geographic Bonaire -68.47,11.97,-68.14,12.36 1396 +proj=longlat +ellps=intl +no_defs +10759 projected Bonaire DPnet -68.47,11.97,-68.14,12.36 1396 +proj=tmerc +lat_0=12.180658675 +lon_0=-68.2518022805556 +k=1 +x_0=23209.56 +y_0=21423.99 +ellps=intl +units=m +no_defs +10762 geographic Bonaire 2004 -68.47,11.97,-68.14,12.36 1 1397 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10773 projected SIRGAS 2000 / Ribeirao Preto Local TM -47.99,-21.37,-47.64,-21.06 1 6674 +proj=tmerc +lat_0=-21.2 +lon_0=-47.7833333333333 +k=1.000092 +x_0=15000 +y_0=25000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10781 geographic ITRF2020-u2023 -180,-90,180,90 1399 +proj=longlat +ellps=GRS80 +no_defs +10785 geographic IGb20 -180,-90,180,90 1400 +proj=longlat +ellps=GRS80 +no_defs +10791 geographic UGRF 29.57,-1.48,35.01,4.23 1 1401 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10792 projected UGRF / UTM zone 35N 29.71,0,30,0.86 1 1401 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10793 projected UGRF / UTM zone 36N 30,0,35.01,4.23 1 1401 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10794 projected UGRF / UTM zone 36S 30,-1.45,33.98,0 1 1401 +proj=utm +zone=36 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10795 projected UGRF / UTM zone 35S 29.57,-1.48,30,0 1 1401 +proj=utm +zone=35 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10800 geographic LibRef21 -13.59,1.02,-7.36,8.52 1 1402 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10801 projected LibRef21 / UTM zone 28N -13.59,3.12,-12,6.4 1 1402 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10802 projected LibRef21 / UTM zone 29N -12,1.02,-7.36,8.52 1 1402 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10807 geographic NKG_ETRF14 3.24,53.89,31.77,71.39 1403 +proj=longlat +ellps=GRS80 +no_defs +10820 projected WGS 84 / Agriculture Canada Albers -139.04,41.67,-52.54,60.01 6326 +proj=aea +lat_0=40 +lon_0=-96 +lat_1=44.75 +lat_2=55.75 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs +10831 geographic Georgia Geodetic Datum 38.97,41.04,46.72,43.59 0.03 1404 +proj=longlat +ellps=GRS80 +towgs84=-2.0796,-0.3484,1.7009,-0.05465,0.06718,-0.06143,0.0181 +no_defs +10833 projected Georgia Geodetic Datum / Lambert 39.99,41.04,46.72,43.59 0.03 1404 +proj=lcc +lat_0=42.5 +lon_0=43.5 +lat_1=41.6666666666667 +lat_2=42.6666666666667 +x_0=1300000 +y_0=400000 +ellps=GRS80 +towgs84=-2.0796,-0.3484,1.7009,-0.05465,0.06718,-0.06143,0.0181 +units=m +no_defs +10836 projected Georgia Geodetic Datum / UTM zone 37N (N-E) 38.97,41.43,42,43.59 0.03 1404 +proj=utm +zone=37 +ellps=GRS80 +towgs84=-2.0796,-0.3484,1.7009,-0.05465,0.06718,-0.06143,0.0181 +units=m +no_defs +10837 projected Georgia Geodetic Datum / UTM zone 38N (N-E) 41.99,41.04,46.72,43.24 0.03 1404 +proj=utm +zone=38 +ellps=GRS80 +towgs84=-2.0796,-0.3484,1.7009,-0.05465,0.06718,-0.06143,0.0181 +units=m +no_defs +10849 geographic EWR3-IRF -1.43,51.7,0.27,52.33 1405 +proj=longlat +ellps=GRS80 +no_defs +10851 projected EWR3 Grid -1.43,51.7,0.27,52.33 1405 +proj=tmerc +lat_0=51.95 +lon_0=-0.9 +k=1 +x_0=192519.9715 +y_0=146942.6806 +ellps=GRS80 +units=m +no_defs +10857 projected SIRGAS 2000 / Brazil Albers -74.01,-33.78,-34.74,5.28 1 6674 +proj=aea +lat_0=-12 +lon_0=-54 +lat_1=-2 +lat_2=-22 +x_0=5000000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10860 geographic WSPG-IRF -1.25,54.35,-0.45,54.7 1406 +proj=longlat +ellps=GRS80 +no_defs +10863 projected WSPG Grid -1.25,54.35,-0.45,54.7 1406 +proj=tmerc +lat_0=54.5 +lon_0=-0.85 +k=1 +x_0=39630.9213 +y_0=36016.293 +ellps=GRS80 +units=m +no_defs +10875 geographic ETRS89-NOR [EUREF89] -3.35,56.08,38.01,84.73 1 1407 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10892 geographic ETRS89-DNK 3.24,54.36,16.51,58.27 1412 +proj=longlat +ellps=GRS80 +no_defs +10898 geographic Asse 2025 10.6,52.11,10.7,52.16 1413 +proj=longlat +ellps=bessel +no_defs +10899 projected Asse 2025 / 3-degree Gauss-Kruger zone 4 (E-N) 10.6,52.11,10.7,52.16 1413 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +no_defs +10910 geographic CSRN epoch 2025.0 (NAD83 2011) -124.45,32.53,-114.12,42.01 2 1414 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10911 projected CSRN2025 (NAD83 2011) / California zone 1 (ftUS) -124.45,39.59,-119.99,42.01 2 1414 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10912 projected CSRN2025 (NAD83 2011) / California zone 2 (ftUS) -124.06,38.02,-119.54,40.16 2 1414 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10913 projected CSRN2025 (NAD83 2011) / California zone 3 (ftUS) -123.02,36.73,-117.83,38.71 2 1414 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10914 projected CSRN2025 (NAD83 2011) / California zone 4 (ftUS) -122.01,35.78,-115.62,37.58 2 1414 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10915 projected CSRN2025 (NAD83 2011) / California zone 5 (ftUS) -121.42,32.76,-114.12,35.81 2 1414 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10916 projected CSRN2025 (NAD83 2011) / California zone 6 (ftUS) -118.15,32.53,-114.42,34.08 2 1414 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000.0001016 +y_0=500000.0001016 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +10917 projected CSRN2025 (NAD83 2011) / California Albers -124.45,32.53,-114.12,42.01 2 1414 +proj=aea +lat_0=0 +lon_0=-120 +lat_1=34 +lat_2=40.5 +x_0=0 +y_0=-4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10921 projected CSRN2025 (NAD83 2011) / California zone 1 -124.45,39.59,-119.99,42.01 2 1414 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10922 projected CSRN2025 (NAD83 2011) / California zone 2 -124.06,38.02,-119.54,40.16 2 1414 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10923 projected CSRN2025 (NAD83 2011) / California zone 3 -123.02,36.73,-117.83,38.71 2 1414 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10924 projected CSRN2025 (NAD83 2011) / California zone 4 -122.01,35.78,-115.62,37.58 2 1414 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10925 projected CSRN2025 (NAD83 2011) / California zone 5 -121.42,32.76,-114.12,35.81 2 1414 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10926 projected CSRN2025 (NAD83 2011) / California zone 6 -118.15,32.53,-114.42,34.08 2 1414 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10941 geographic QazTRF-23 46.49,40.59,87.35,55.45 1 1417 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10942 projected QazTRF-23 / Gauss-Kruger zone 8 46.49,47.69,48,50.47 1 1417 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=8500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10943 projected QazTRF-23 / Gauss-Kruger zone 9 48,41.15,54,51.79 1 1417 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=9500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10944 projected QazTRF-23 / Gauss-Kruger zone 10 54,41.26,60,51.18 1 1417 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=10500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10945 projected QazTRF-23 / Gauss-Kruger zone 11 60,42.87,66,54.71 1 1417 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=11500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10946 projected QazTRF-23 / Gauss-Kruger zone 12 66,40.59,72,55.45 1 1417 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=12500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10947 projected QazTRF-23 / Gauss-Kruger zone 13 72,42.4,78,54.45 1 1417 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10948 projected QazTRF-23 / Gauss-Kruger zone 14 78,42.19,84,53.18 1 1417 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10949 projected QazTRF-23 / Gauss-Kruger zone 15 84,46.82,87.35,50.7 1 1417 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10952 geographic CSRN epoch 2025.0 (ITRF2020) -124.45,32.53,-114.12,42.01 1418 +proj=longlat +ellps=GRS80 +no_defs +10956 geographic GR96(1996) -75,56.38,7.99,87.02 1.25 1420 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10959 geographic GR96(2021) -75,56.38,7.99,87.02 1.25 1419 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10968 geographic NATRF2022 167.65,23.81,-40.73,86.46 1 1422 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +10979 projected NATRF2022 / Gulf -97.22,23.82,-81.17,30.25 1 1422 +proj=lcc +lat_1=28 +lat_0=28 +lon_0=-90 +k_0=0.9996 +x_0=1600200 +y_0=533400 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +10980 projected NATRF2022 / Gulf (ft) -97.22,23.82,-81.17,30.25 1 1422 +proj=lcc +lat_1=28 +lat_0=28 +lon_0=-90 +k_0=0.9996 +x_0=1600200 +y_0=533400 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10981 projected NATRF2022 / Gulf Louisiana Shelf (ft) -93.82,27.82,-87.76,30.02 1 1422 +proj=lcc +lat_1=30 +lat_0=30 +lon_0=-91.3333333333333 +k_0=0.9999165 +x_0=609610.287 +y_0=147761.325 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10982 projected NATRF2022 / Gulf Texas Shelf North (ft) -96.86,27.79,-93.41,29.54 1 1422 +proj=lcc +lat_1=29.3325 +lat_0=29.3325 +lon_0=-99 +k_0=0.9998499 +x_0=609633.909 +y_0=166114.095 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10983 projected NATRF2022 / Gulf Texas Shelf South (ft) -97.22,25.97,-95.36,27.84 1 1422 +proj=lcc +lat_1=27 +lat_0=27 +lon_0=-98.5 +k_0=0.9998844 +x_0=609630.48 +y_0=147679.41 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10984 projected NATRF2022 / Gulf West (ft) -96.52,26,-95.87,27.61 1 1422 +proj=tmerc +lat_0=0 +lon_0=-99 +k=0.999584 +x_0=500032.02 +y_0=-161.163 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10985 projected NATRF2022 / Gulf West Central (ft) -95.92,25.61,-89.86,28.69 1 1422 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9995867 +x_0=500012.589 +y_0=-167.259 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10986 projected NATRF2022 / Gulf East Central (ft) -89.95,23.95,-83.91,30.25 1 1422 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9995904 +x_0=499995.063 +y_0=-178.308 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +10987 projected NATRF2022 / Gulf East (ft) -84.09,23.82,-81.17,29.94 1 1422 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9995987 +x_0=499980.204 +y_0=-206.121 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +11012 projected ETRS89-NOR [EUREF89] / UTM zone 30N (N-E) -3.35,63.47,0,80.49 1 1407 +proj=utm +zone=30 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11013 projected ETRS89-NOR [EUREF89] / UTM zone 31N (N-E) 0,56.08,6,82.45 1 1407 +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11014 projected ETRS89-NOR [EUREF89] / UTM zone 32N (N-E) 5.99,56.88,12,84 1 1407 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11015 projected ETRS89-NOR [EUREF89] / UTM zone 33N (N-E) 12,59.88,18,84 1 1407 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11016 projected ETRS89-NOR [EUREF89] / UTM zone 34N (N-E) 18,68.04,24,84 1 1407 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11017 projected ETRS89-NOR [EUREF89] / UTM zone 35N (N-E) 23.99,68.58,30,84 1 1407 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11018 projected ETRS89-NOR [EUREF89] / UTM zone 36N (N-E) 30,69.46,36,84 1 1407 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11019 projected ETRS89-NOR [EUREF89] / UTM zone 37N (N-E) 36,72.99,38,79.07 1 1407 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11020 projected ETRS89-NOR [EUREF89] / UTM zone 30N -3.35,63.47,0,80.49 1 1407 +proj=utm +zone=30 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11021 projected ETRS89-NOR [EUREF89] / UTM zone 31N 0,56.08,6,82.45 1 1407 +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11022 projected ETRS89-NOR [EUREF89] / UTM zone 32N 5.99,56.88,12,84 1 1407 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11023 projected ETRS89-NOR [EUREF89] / UTM zone 33N 12,59.88,18,84 1 1407 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11024 projected ETRS89-NOR [EUREF89] / UTM zone 34N 18,68.04,24,84 1 1407 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11025 projected ETRS89-NOR [EUREF89] / UTM zone 35N 23.99,68.58,30,84 1 1407 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11026 projected ETRS89-NOR [EUREF89] / UTM zone 36N 30,69.46,36,84 1 1407 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11027 projected ETRS89-NOR [EUREF89] / UTM zone 37N 36,72.99,38,79.07 1 1407 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11043 geographic CR-SIRGAS epoch 2019.24 -90.45,2.15,-81.43,11.77 1428 +proj=longlat +ellps=GRS80 +no_defs +11114 projected MAGNA-SIRGAS 2018 / Colombia Far West zone -79.1,1.23,-78.58,2.48 1 1329 +proj=tmerc +lat_0=4.59620322222222 +lon_0=-80.0775077694444 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11115 projected MAGNA-SIRGAS 2018 / Colombia West zone -78.59,0.03,-75.58,10.21 1 1329 +proj=tmerc +lat_0=4.59620322222222 +lon_0=-77.0775077694444 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11116 projected MAGNA-SIRGAS 2018 / Colombia Bogota zone -75.59,-2.51,-72.58,11.82 1 1329 +proj=tmerc +lat_0=4.59620322222222 +lon_0=-74.0775077694444 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11117 projected MAGNA-SIRGAS 2018 / Colombia East Central zone -72.59,-4.23,-69.58,12.52 1 1329 +proj=tmerc +lat_0=4.59620322222222 +lon_0=-71.0775077694444 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +11118 projected MAGNA-SIRGAS 2018 / Colombia East zone -69.59,-2.25,-66.87,6.31 1 1329 +proj=tmerc +lat_0=4.59620322222222 +lon_0=-68.0775077694444 +k=1 +x_0=1000000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +20002 projected MWC18 Grid -3.15,53.09,-2.1,53.65 1324 +proj=tmerc +lat_0=53.35 +lon_0=-2.55 +k=1 +x_0=171975.9382 +y_0=116744.6938 +ellps=GRS80 +units=m +no_defs +20004 projected Pulkovo 1995 / Gauss-Kruger zone 4 19.57,54.32,22.87,55.32 1 6200 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20005 projected Pulkovo 1995 / Gauss-Kruger zone 5 26.61,55.69,30,69.47 1 6200 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20006 projected Pulkovo 1995 / Gauss-Kruger zone 6 30,50.34,36,70.02 1 6200 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=6500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20007 projected Pulkovo 1995 / Gauss-Kruger zone 7 36,43.18,42.01,69.23 1 6200 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20008 projected Pulkovo 1995 / Gauss-Kruger zone 8 42,41.19,48,80.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20009 projected Pulkovo 1995 / Gauss-Kruger zone 9 48,41.39,54,81.4 1 6200 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20010 projected Pulkovo 1995 / Gauss-Kruger zone 10 54,50.47,60,81.91 1 6200 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=10500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20011 projected Pulkovo 1995 / Gauss-Kruger zone 11 60,50.66,66,81.77 1 6200 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=11500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20012 projected Pulkovo 1995 / Gauss-Kruger zone 12 66,54.1,72,77.07 1 6200 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=12500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20013 projected Pulkovo 1995 / Gauss-Kruger zone 13 72,53.17,78,79.71 1 6200 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20014 projected Pulkovo 1995 / Gauss-Kruger zone 14 78,50.69,84,81.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20015 projected Pulkovo 1995 / Gauss-Kruger zone 15 84,49.07,90,81.27 1 6200 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20016 projected Pulkovo 1995 / Gauss-Kruger zone 16 90,49.89,96,81.35 1 6200 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20017 projected Pulkovo 1995 / Gauss-Kruger zone 17 96,49.73,102,81.32 1 6200 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20018 projected Pulkovo 1995 / Gauss-Kruger zone 18 102,49.64,108,79.48 1 6200 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20019 projected Pulkovo 1995 / Gauss-Kruger zone 19 108,49.14,114,76.81 1 6200 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20020 projected Pulkovo 1995 / Gauss-Kruger zone 20 114,49.51,120,75.96 1 6200 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20021 projected Pulkovo 1995 / Gauss-Kruger zone 21 120,51.51,126,74 1 6200 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20022 projected Pulkovo 1995 / Gauss-Kruger zone 22 126,42.25,132,73.61 1 6200 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20023 projected Pulkovo 1995 / Gauss-Kruger zone 23 132,42.63,138,76.15 1 6200 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20024 projected Pulkovo 1995 / Gauss-Kruger zone 24 138,45.84,144,76.27 1 6200 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=24500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20025 projected Pulkovo 1995 / Gauss-Kruger zone 25 144,43.6,150,76.82 1 6200 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=25500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20026 projected Pulkovo 1995 / Gauss-Kruger zone 26 150,45.77,156,76.26 1 6200 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=26500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20027 projected Pulkovo 1995 / Gauss-Kruger zone 27 156,50.27,162,77.2 1 6200 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=27500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20028 projected Pulkovo 1995 / Gauss-Kruger zone 28 162,54.47,168,70.03 1 6200 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=28500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20029 projected Pulkovo 1995 / Gauss-Kruger zone 29 168,54.45,174,70.19 1 6200 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=29500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20030 projected Pulkovo 1995 / Gauss-Kruger zone 30 174,61.65,180,71.59 1 6200 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=30500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20031 projected Pulkovo 1995 / Gauss-Kruger zone 31 -180,64.35,-174,71.65 1 6200 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=31500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20032 projected Pulkovo 1995 / Gauss-Kruger zone 32 -174,64.2,-168.97,67.18 1 6200 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=32500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,0,0,0.13,-0.22 +units=m +no_defs +20033 geographic MWC18-IRF -3.15,53.09,-2.1,53.65 1324 +proj=longlat +ellps=GRS80 +no_defs +20041 geographic SIRGAS-Chile 2021 -113.21,-59.87,-65.72,-17.5 22 1327 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +20042 projected SIRGAS-Chile 2021 / UTM zone 12S -113.21,-30.54,-108,-23.72 1327 +proj=utm +zone=12 +south +ellps=GRS80 +units=m +no_defs +20046 geographic MAGNA-SIRGAS 2018 -84.77,-4.23,-66.87,15.51 1 1329 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +20047 projected GDA2020 / BCSG2020 152.37,-29.36,153.69,-24.64 3 1168 +proj=tmerc +lat_0=-28 +lon_0=153 +k=0.99999 +x_0=150000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +20048 projected SIRGAS-Chile 2021 / UTM zone 18S -78,-59.36,-71.99,-18.35 22 1327 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +20049 projected SIRGAS-Chile 2021 / UTM zone 19S -72,-59.87,-66,-17.5 22 1327 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +20050 projected NAD83(2011) / Amtrak NECCS21 (ft) -78.51,38.64,-70.48,42.74 2 1116 +proj=omerc +lat_0=40.8333333333333 +lonc=-74 +alpha=58 +gamma=58 +k=0.99999 +x_0=457200 +y_0=457200 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.3048 +no_defs +20135 projected Adindan / UTM zone 35N 23.99,4.21,30.01,22.01 7 6201 +proj=utm +zone=35 +a=6378249.145 +rf=293.465 +towgs84=-161,-14,205 +units=m +no_defs +20136 projected Adindan / UTM zone 36N 29.99,3.49,36,22.24 7 6201 +proj=utm +zone=36 +a=6378249.145 +rf=293.465 +towgs84=-161,-14,205 +units=m +no_defs +20137 projected Adindan / UTM zone 37N 36,3.4,42,22.01 9 6201 +proj=utm +zone=37 +a=6378249.145 +rf=293.465 +towgs84=-166,-15,204 +units=m +no_defs +20138 projected Adindan / UTM zone 38N 42,4.11,47.99,12.85 6 6201 +proj=utm +zone=38 +a=6378249.145 +rf=293.465 +towgs84=-165,-11,206 +units=m +no_defs +20249 projected AGD66 / AMG zone 49 109.23,-37.84,114,-17.19 3 6202 +proj=utm +zone=49 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20250 projected AGD66 / AMG zone 50 114,-38.53,120,-12.61 3 6202 +proj=utm +zone=50 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20251 projected AGD66 / AMG zone 51 120,-38.07,126.01,-10.46 3 6202 +proj=utm +zone=51 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20252 projected AGD66 / AMG zone 52 125.99,-37.38,132,-9.1 3 6202 +proj=utm +zone=52 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20253 projected AGD66 / AMG zone 53 132,-40.71,138.01,-8.88 3 6202 +proj=utm +zone=53 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20254 projected AGD66 / AMG zone 54 138,-46.63,144.01,-2.53 3 6202 +proj=utm +zone=54 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20255 projected AGD66 / AMG zone 55 144,-47.2,150.01,-1.3 3 6202 +proj=utm +zone=55 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20256 projected AGD66 / AMG zone 56 150,-46.44,156,-2.32 3 6202 +proj=utm +zone=56 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20257 projected AGD66 / AMG zone 57 156,-35.13,162.01,-14.08 3 6202 +proj=utm +zone=57 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20258 projected AGD66 / AMG zone 58 162,-34.22,163.2,-27.25 3 6202 +proj=utm +zone=58 +south +ellps=aust_SA +towgs84=-117.808,-51.536,137.784,0.303,0.446,0.234,-0.29 +units=m +no_defs +20349 projected AGD84 / AMG zone 49 109.23,-37.84,114,-17.19 3 6203 +proj=utm +zone=49 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20350 projected AGD84 / AMG zone 50 114,-38.53,120,-12.61 3 6203 +proj=utm +zone=50 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20351 projected AGD84 / AMG zone 51 120,-38.07,126.01,-10.46 3 6203 +proj=utm +zone=51 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20352 projected AGD84 / AMG zone 52 125.99,-37.05,132.01,-9.37 3 6203 +proj=utm +zone=52 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20353 projected AGD84 / AMG zone 53 132,-36.14,138,-25.99 3 6203 +proj=utm +zone=53 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20354 projected AGD84 / AMG zone 54 138,-38.13,144.01,-9.86 3 6203 +proj=utm +zone=54 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20355 projected AGD84 / AMG zone 55 144,-29.01,150,-14.01 3 6203 +proj=utm +zone=55 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20356 projected AGD84 / AMG zone 56 150,-29.19,153.61,-22 3 6203 +proj=utm +zone=56 +south +ellps=aust_SA +towgs84=-117.763,-51.51,139.061,0.292,0.443,0.277,-0.191 +units=m +no_defs +20436 projected Ain el Abd / UTM zone 36N 34.51,26.82,36,29.38 18 6204 +proj=utm +zone=36 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +20437 projected Ain el Abd / UTM zone 37N 36,16.59,42,32.16 18 6204 +proj=utm +zone=37 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +20438 projected Ain el Abd / UTM zone 38N 42,16.37,48.01,31.15 18 6204 +proj=utm +zone=38 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +20439 projected Ain el Abd / UTM zone 39N 47.99,17.94,54.01,30.04 18 6204 +proj=utm +zone=39 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +20440 projected Ain el Abd / UTM zone 40N 54,19.66,55.67,22.77 18 6204 +proj=utm +zone=40 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +20499 projected Ain el Abd / Bahrain Grid 50.39,25.53,50.85,26.34 18 6204 +proj=utm +zone=39 +ellps=intl +towgs84=-143,-236,7 +units=m +no_defs +20538 projected Afgooye / UTM zone 38N 42,0,48,11.52 44 6205 +proj=utm +zone=38 +ellps=krass +towgs84=-43,-163,45 +units=m +no_defs +20539 projected Afgooye / UTM zone 39N 48,4.44,51.47,12.03 44 6205 +proj=utm +zone=39 +ellps=krass +towgs84=-43,-163,45 +units=m +no_defs +20790 projected Lisbon (Lisbon) / Portuguese National Grid -9.56,36.95,-6.19,42.16 6803 +proj=tmerc +lat_0=39.6666666666667 +lon_0=1 +k=1 +x_0=200000 +y_0=300000 +ellps=intl +pm=-9.13190611111111 +units=m +no_defs +20791 projected Lisbon (Lisbon) / Portuguese Grid -9.56,36.95,-6.19,42.16 6803 +proj=tmerc +lat_0=39.6666666666667 +lon_0=1 +k=1 +x_0=0 +y_0=0 +ellps=intl +pm=-9.13190611111111 +units=m +no_defs +20822 projected Aratu / UTM zone 22S -53.38,-35.71,-47.99,-25.01 1 6208 +proj=utm +zone=22 +south +ellps=intl +towgs84=-157.84,308.54,-146.6 +units=m +no_defs +20823 projected Aratu / UTM zone 23S -48.01,-33.5,-41.99,0 1 6208 +proj=utm +zone=23 +south +ellps=intl +towgs84=-157.84,308.54,-146.6 +units=m +no_defs +20824 projected Aratu / UTM zone 24S -42.01,-26.35,-36,0.01 1 6208 +proj=utm +zone=24 +south +ellps=intl +towgs84=-151.99,287.04,-147.45 +units=m +no_defs +20904 projected GSK-2011 / Gauss-Kruger zone 4 19.57,54.32,22.87,55.32 1 1159 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20905 projected GSK-2011 / Gauss-Kruger zone 5 26.61,55.69,30,69.47 1 1159 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=5500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20906 projected GSK-2011 / Gauss-Kruger zone 6 30,50.34,36,70.02 1 1159 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=6500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20907 projected GSK-2011 / Gauss-Kruger zone 7 36,43.18,42.01,69.23 1 1159 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=7500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20908 projected GSK-2011 / Gauss-Kruger zone 8 42,41.19,48,80.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=8500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20909 projected GSK-2011 / Gauss-Kruger zone 9 48,41.39,54,81.4 1 1159 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=9500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20910 projected GSK-2011 / Gauss-Kruger zone 10 54,50.47,60,81.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=10500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20911 projected GSK-2011 / Gauss-Kruger zone 11 60,50.66,66,81.77 1 1159 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=11500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20912 projected GSK-2011 / Gauss-Kruger zone 12 66,54.1,72,77.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=12500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20913 projected GSK-2011 / Gauss-Kruger zone 13 72,53.17,78,79.71 1 1159 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20914 projected GSK-2011 / Gauss-Kruger zone 14 78,50.69,84,81.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20915 projected GSK-2011 / Gauss-Kruger zone 15 84,49.07,90,81.27 1 1159 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20916 projected GSK-2011 / Gauss-Kruger zone 16 90,49.89,96,81.35 1 1159 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20917 projected GSK-2011 / Gauss-Kruger zone 17 96,49.73,102,81.32 1 1159 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20918 projected GSK-2011 / Gauss-Kruger zone 18 102,49.64,108,79.48 1 1159 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20919 projected GSK-2011 / Gauss-Kruger zone 19 108,49.14,114,76.81 1 1159 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20920 projected GSK-2011 / Gauss-Kruger zone 20 114,49.51,120,75.96 1 1159 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20921 projected GSK-2011 / Gauss-Kruger zone 21 120,51.51,126,74 1 1159 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20922 projected GSK-2011 / Gauss-Kruger zone 22 126,42.25,132,73.61 1 1159 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20923 projected GSK-2011 / Gauss-Kruger zone 23 132,42.63,138,76.15 1 1159 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20924 projected GSK-2011 / Gauss-Kruger zone 24 138,45.84,144,76.27 1 1159 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=24500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20925 projected GSK-2011 / Gauss-Kruger zone 25 144,43.6,150,76.82 1 1159 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=25500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20926 projected GSK-2011 / Gauss-Kruger zone 26 150,45.77,156,76.26 1 1159 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=26500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20927 projected GSK-2011 / Gauss-Kruger zone 27 156,50.27,162,77.2 1 1159 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=27500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20928 projected GSK-2011 / Gauss-Kruger zone 28 162,54.47,168,70.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=28500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20929 projected GSK-2011 / Gauss-Kruger zone 29 168,54.45,174,70.19 1 1159 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=29500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20930 projected GSK-2011 / Gauss-Kruger zone 30 174,61.65,180,71.59 1 1159 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=30500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20931 projected GSK-2011 / Gauss-Kruger zone 31 -180,64.35,-174,71.65 1 1159 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=31500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20932 projected GSK-2011 / Gauss-Kruger zone 32 -174,64.2,-168.97,67.18 1 1159 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=32500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +20934 projected Arc 1950 / UTM zone 34S 19.99,-26.88,24,-10.86 44 6209 +proj=utm +zone=34 +south +a=6378249.145 +rf=293.4663077 +towgs84=-143,-90,-294 +units=m +no_defs +20935 projected Arc 1950 / UTM zone 35S 24,-25.84,30,-8.31 44 6209 +proj=utm +zone=35 +south +a=6378249.145 +rf=293.4663077 +towgs84=-143,-90,-294 +units=m +no_defs +20936 projected Arc 1950 / UTM zone 36S 30,-22.42,35.93,-8.19 44 6209 +proj=utm +zone=36 +south +a=6378249.145 +rf=293.4663077 +towgs84=-143,-90,-294 +units=m +no_defs +21004 projected GSK-2011 / Gauss-Kruger CM 21E 19.57,54.32,22.87,55.32 1 1159 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21005 projected GSK-2011 / Gauss-Kruger CM 27E 26.61,55.69,30,69.47 1 1159 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21006 projected GSK-2011 / Gauss-Kruger CM 33E 30,50.34,36,70.02 1 1159 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21007 projected GSK-2011 / Gauss-Kruger CM 39E 36,43.18,42.01,69.23 1 1159 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21008 projected GSK-2011 / Gauss-Kruger CM 45E 42,41.19,48,80.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21009 projected GSK-2011 / Gauss-Kruger CM 51E 48,41.39,54,81.4 1 1159 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21010 projected GSK-2011 / Gauss-Kruger CM 57E 54,50.47,60,81.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21011 projected GSK-2011 / Gauss-Kruger CM 63E 60,50.66,66,81.77 1 1159 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21012 projected GSK-2011 / Gauss-Kruger CM 69E 66,54.1,72,77.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21013 projected GSK-2011 / Gauss-Kruger CM 75E 72,53.17,78,79.71 1 1159 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21014 projected GSK-2011 / Gauss-Kruger CM 81E 78,50.69,84,81.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21015 projected GSK-2011 / Gauss-Kruger CM 87E 84,49.07,90,81.27 1 1159 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21016 projected GSK-2011 / Gauss-Kruger CM 93E 90,49.89,96,81.35 1 1159 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21017 projected GSK-2011 / Gauss-Kruger CM 99E 96,49.73,102,81.32 1 1159 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21018 projected GSK-2011 / Gauss-Kruger CM 105E 102,49.64,108,79.48 1 1159 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21019 projected GSK-2011 / Gauss-Kruger CM 111E 108,49.14,114,76.81 1 1159 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21020 projected GSK-2011 / Gauss-Kruger CM 117E 114,49.51,120,75.96 1 1159 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21021 projected GSK-2011 / Gauss-Kruger CM 123E 120,51.51,126,74 1 1159 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21022 projected GSK-2011 / Gauss-Kruger CM 129E 126,42.25,132,73.61 1 1159 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21023 projected GSK-2011 / Gauss-Kruger CM 135E 132,42.63,138,76.15 1 1159 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21024 projected GSK-2011 / Gauss-Kruger CM 141E 138,45.84,144,76.27 1 1159 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21025 projected GSK-2011 / Gauss-Kruger CM 147E 144,43.6,150,76.82 1 1159 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21026 projected GSK-2011 / Gauss-Kruger CM 153E 150,45.77,156,76.26 1 1159 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21027 projected GSK-2011 / Gauss-Kruger CM 159E 156,50.27,162,77.2 1 1159 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21028 projected GSK-2011 / Gauss-Kruger CM 165E 162,54.47,168,70.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21029 projected GSK-2011 / Gauss-Kruger CM 171E 168,54.45,174,70.19 1 1159 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21030 projected GSK-2011 / Gauss-Kruger CM 177E 174,61.65,180,71.59 1 1159 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21031 projected GSK-2011 / Gauss-Kruger CM 177W -180,64.35,-174,71.65 1 1159 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21032 projected GSK-2011 / Gauss-Kruger CM 171W -174,64.2,-168.97,67.18 1 1159 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=500000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21035 projected Arc 1960 / UTM zone 35S 29.34,-6.81,30,0 35 6210 +proj=utm +zone=35 +south +a=6378249.145 +rf=293.465 +towgs84=-160,-6,-302 +units=m +no_defs +21036 projected Arc 1960 / UTM zone 36S 29.99,-11.61,36,0.01 35 6210 +proj=utm +zone=36 +south +a=6378249.145 +rf=293.465 +towgs84=-160,-6,-302 +units=m +no_defs +21037 projected Arc 1960 / UTM zone 37S 36,-11.75,41.6,0 35 6210 +proj=utm +zone=37 +south +a=6378249.145 +rf=293.465 +towgs84=-160,-6,-302 +units=m +no_defs +21095 projected Arc 1960 / UTM zone 35N 29.71,0,30,0.86 35 6210 +proj=utm +zone=35 +a=6378249.145 +rf=293.465 +towgs84=-160,-6,-302 +units=m +no_defs +21096 projected Arc 1960 / UTM zone 36N 29.99,0,36,4.63 35 6210 +proj=utm +zone=36 +a=6378249.145 +rf=293.465 +towgs84=-160,-6,-302 +units=m +no_defs +21097 projected Arc 1960 / UTM zone 37N 36,0,41.91,4.49 6 6210 +proj=utm +zone=37 +a=6378249.145 +rf=293.465 +towgs84=-157,-2,-299 +units=m +no_defs +21148 projected Batavia / UTM zone 48S 105.06,-7.79,108,-4.07 6 6211 +proj=utm +zone=48 +south +ellps=bessel +towgs84=-377,681,-50 +units=m +no_defs +21149 projected Batavia / UTM zone 49S 108,-8.67,114,-4.27 6 6211 +proj=utm +zone=49 +south +ellps=bessel +towgs84=-377,681,-50 +units=m +no_defs +21150 projected Batavia / UTM zone 50S 114,-8.91,117.01,-5.33 6 6211 +proj=utm +zone=50 +south +ellps=bessel +towgs84=-377,681,-50 +units=m +no_defs +21207 projected GSK-2011 / GSK 3GK zone 7 19.57,54.32,22.5,55.32 1 1159 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=7250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21208 projected GSK-2011 / GSK 3GK zone 8 22.5,54.34,22.87,55.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=8250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21209 projected GSK-2011 / GSK 3GK zone 9 26.61,56.05,28.51,68.93 1 1159 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21210 projected GSK-2011 / GSK 3GK zone 10 28.5,52.85,31.5,69.85 1 1159 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21211 projected GSK-2011 / GSK 3GK zone 11 31.5,51.24,34.5,70.02 1 1159 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=11250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21212 projected GSK-2011 / GSK 3GK zone 12 34.5,44.61,37.51,69.39 1 1159 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=12250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21213 projected GSK-2011 / GSK 3GK zone 13 37.5,43.33,40.5,68.8 1 1159 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=13250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21214 projected GSK-2011 / GSK 3GK zone 14 40.5,42.87,43.5,68.74 1 1159 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=14250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21215 projected GSK-2011 / GSK 3GK zone 15 43.5,41.89,46.5,80.8 1 1159 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=15250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21216 projected GSK-2011 / GSK 3GK zone 16 46.5,41.19,49.5,80.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=16250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21217 projected GSK-2011 / GSK 3GK zone 17 49.5,42.36,52.5,81.22 1 1159 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=17250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21218 projected GSK-2011 / GSK 3GK zone 18 52.5,50.52,55.5,81.41 1 1159 +proj=tmerc +lat_0=0 +lon_0=54 +k=1 +x_0=18250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21219 projected GSK-2011 / GSK 3GK zone 19 55.5,50.53,58.5,81.89 1 1159 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=19250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21220 projected GSK-2011 / GSK 3GK zone 20 58.5,50.47,61.5,81.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=60 +k=1 +x_0=20250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21221 projected GSK-2011 / GSK 3GK zone 21 61.5,51.03,64.5,81.77 1 1159 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=21250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21222 projected GSK-2011 / GSK 3GK zone 22 64.5,54.31,67.5,81.25 1 1159 +proj=tmerc +lat_0=0 +lon_0=66 +k=1 +x_0=22250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21223 projected GSK-2011 / GSK 3GK zone 23 67.5,54.85,70.5,77.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=23250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21224 projected GSK-2011 / GSK 3GK zone 24 70.5,53.43,73.5,73.57 1 1159 +proj=tmerc +lat_0=0 +lon_0=72 +k=1 +x_0=24250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21225 projected GSK-2011 / GSK 3GK zone 25 73.5,53.47,76.5,79.71 1 1159 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=25250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21226 projected GSK-2011 / GSK 3GK zone 26 76.5,51.49,79.5,81.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=26250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21227 projected GSK-2011 / GSK 3GK zone 27 79.5,50.7,82.5,81.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=27250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21228 projected GSK-2011 / GSK 3GK zone 28 82.5,49.58,85.5,77.56 1 1159 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=28250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21229 projected GSK-2011 / GSK 3GK zone 29 85.5,49.07,88.5,77.16 1 1159 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=29250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21230 projected GSK-2011 / GSK 3GK zone 30 88.5,49.44,91.5,81.28 1 1159 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=30250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21231 projected GSK-2011 / GSK 3GK zone 31 91.5,50.16,94.5,81.26 1 1159 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=31250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21232 projected GSK-2011 / GSK 3GK zone 32 94.5,49.73,97.5,81.35 1 1159 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=32250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21233 projected GSK-2011 / GSK 3GK zone 33 97.5,49.79,100.5,80.9 1 1159 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=33250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21234 projected GSK-2011 / GSK 3GK zone 34 100.5,50.17,103.5,79.71 1 1159 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=34250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21235 projected GSK-2011 / GSK 3GK zone 35 103.5,50.13,106.5,79.21 1 1159 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=35250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21236 projected GSK-2011 / GSK 3GK zone 36 106.5,49.25,109.5,78.4 1 1159 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=36250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21237 projected GSK-2011 / GSK 3GK zone 37 109.5,49.14,112.5,76.81 1 1159 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=37250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21238 projected GSK-2011 / GSK 3GK zone 38 112.5,49.49,115.5,76.7 1 1159 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=38250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21239 projected GSK-2011 / GSK 3GK zone 39 115.5,49.51,118.5,74.43 1 1159 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=39250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21240 projected GSK-2011 / GSK 3GK zone 40 118.5,49.87,121.5,73.63 1 1159 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=40250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21241 projected GSK-2011 / GSK 3GK zone 41 121.5,53.18,124.5,74 1 1159 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=41250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21242 projected GSK-2011 / GSK 3GK zone 42 124.5,49.88,127.5,74 1 1159 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=42250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21243 projected GSK-2011 / GSK 3GK zone 43 127.5,42.67,130.5,73.59 1 1159 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=43250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21244 projected GSK-2011 / GSK 3GK zone 44 130.5,42.25,133.5,71.99 1 1159 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=44250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21245 projected GSK-2011 / GSK 3GK zone 45 133.5,42.74,136.5,75.9 1 1159 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=45250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21246 projected GSK-2011 / GSK 3GK zone 46 136.5,44.76,139.5,76.27 1 1159 +proj=tmerc +lat_0=0 +lon_0=138 +k=1 +x_0=46250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21247 projected GSK-2011 / GSK 3GK zone 47 139.5,45.84,142.5,76.23 1 1159 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=47250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21248 projected GSK-2011 / GSK 3GK zone 48 142.5,43.61,145.5,75.98 1 1159 +proj=tmerc +lat_0=0 +lon_0=144 +k=1 +x_0=48250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21249 projected GSK-2011 / GSK 3GK zone 49 145.5,43.6,148.5,76.76 1 1159 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=49250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21250 projected GSK-2011 / GSK 3GK zone 50 148.5,45.21,151.5,76.82 1 1159 +proj=tmerc +lat_0=0 +lon_0=150 +k=1 +x_0=50250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21251 projected GSK-2011 / GSK 3GK zone 51 151.5,46.72,154.5,76.26 1 1159 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=51250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21252 projected GSK-2011 / GSK 3GK zone 52 154.5,49.02,157.5,77.2 1 1159 +proj=tmerc +lat_0=0 +lon_0=156 +k=1 +x_0=52250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21253 projected GSK-2011 / GSK 3GK zone 53 157.5,51.36,160.5,71.12 1 1159 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=53250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21254 projected GSK-2011 / GSK 3GK zone 54 160.5,54.34,163.5,70.98 1 1159 +proj=tmerc +lat_0=0 +lon_0=162 +k=1 +x_0=54250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21255 projected GSK-2011 / GSK 3GK zone 55 163.5,54.69,166.5,69.82 1 1159 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=55250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21256 projected GSK-2011 / GSK 3GK zone 56 166.5,54.45,169.5,70.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=168 +k=1 +x_0=56250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21257 projected GSK-2011 / GSK 3GK zone 57 169.5,59.86,172.5,70.19 1 1159 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=57250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21258 projected GSK-2011 / GSK 3GK zone 58 172.5,60.99,175.5,70.02 1 1159 +proj=tmerc +lat_0=0 +lon_0=174 +k=1 +x_0=58250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21259 projected GSK-2011 / GSK 3GK zone 59 175.5,62.09,178.5,71.1 1 1159 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=59250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21260 projected GSK-2011 / GSK 3GK zone 60 178.5,62.24,-178.5,71.65 1 1159 +proj=tmerc +lat_0=0 +lon_0=180 +k=1 +x_0=60250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21261 projected GSK-2011 / GSK 3GK zone 61 -178.5,64.74,-175.5,71.61 1 1159 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=61250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21262 projected GSK-2011 / GSK 3GK zone 62 -175.5,64.2,-172.5,67.78 1 1159 +proj=tmerc +lat_0=0 +lon_0=-174 +k=1 +x_0=62250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21263 projected GSK-2011 / GSK 3GK zone 63 -172.5,64.35,-169.57,67.06 1 1159 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=63250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21264 projected GSK-2011 / GSK 3GK zone 64 -169.22,65.7,-168.97,65.86 1 1159 +proj=tmerc +lat_0=0 +lon_0=-168 +k=1 +x_0=64250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21291 projected Barbados 1938 / British West Indies Grid -59.71,13,-59.37,13.39 3 6212 +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995 +x_0=400000 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=31.95,300.99,419.19 +units=m +no_defs +21292 projected Barbados 1938 / Barbados National Grid -59.71,13,-59.37,13.39 3 6212 +proj=tmerc +lat_0=13.1763888888889 +lon_0=-59.5597222222222 +k=0.9999986 +x_0=30000 +y_0=75000 +a=6378249.145 +rf=293.465 +towgs84=31.95,300.99,419.19 +units=m +no_defs +21307 projected GSK-2011 / GSK 3GK CM 21E 19.57,54.32,22.5,55.32 1 1159 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21308 projected GSK-2011 / GSK 3GK CM 24E 22.5,54.34,22.87,55.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21309 projected GSK-2011 / GSK 3GK CM 27E 26.61,56.05,28.51,68.93 1 1159 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21310 projected GSK-2011 / GSK 3GK CM 30E 28.5,52.85,31.5,69.85 1 1159 +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21311 projected GSK-2011 / GSK 3GK CM 33E 31.5,51.24,34.5,70.02 1 1159 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21312 projected GSK-2011 / GSK 3GK CM 36E 34.5,44.61,37.51,69.39 1 1159 +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21313 projected GSK-2011 / GSK 3GK CM 39E 37.5,43.33,40.5,68.8 1 1159 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21314 projected GSK-2011 / GSK 3GK CM 42E 40.5,42.87,43.5,68.74 1 1159 +proj=tmerc +lat_0=0 +lon_0=42 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21315 projected GSK-2011 / GSK 3GK CM 45E 43.5,41.89,46.5,80.8 1 1159 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21316 projected GSK-2011 / GSK 3GK CM 48E 46.5,41.19,49.5,80.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21317 projected GSK-2011 / GSK 3GK CM 51E 49.5,42.36,52.5,81.22 1 1159 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21318 projected GSK-2011 / GSK 3GK CM 54E 52.5,50.52,55.5,81.41 1 1159 +proj=tmerc +lat_0=0 +lon_0=54 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21319 projected GSK-2011 / GSK 3GK CM 57E 55.5,50.53,58.5,81.89 1 1159 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21320 projected GSK-2011 / GSK 3GK CM 60E 58.5,50.47,61.5,81.91 1 1159 +proj=tmerc +lat_0=0 +lon_0=60 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21321 projected GSK-2011 / GSK 3GK CM 63E 61.5,51.03,64.5,81.77 1 1159 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21322 projected GSK-2011 / GSK 3GK CM 66E 64.5,54.31,67.5,81.25 1 1159 +proj=tmerc +lat_0=0 +lon_0=66 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21323 projected GSK-2011 / GSK 3GK CM 69E 67.5,54.85,70.5,77.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21324 projected GSK-2011 / GSK 3GK CM 72E 70.5,53.43,73.5,73.57 1 1159 +proj=tmerc +lat_0=0 +lon_0=72 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21325 projected GSK-2011 / GSK 3GK CM 75E 73.5,53.47,76.5,79.71 1 1159 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21326 projected GSK-2011 / GSK 3GK CM 78E 76.5,51.49,79.5,81.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=78 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21327 projected GSK-2011 / GSK 3GK CM 81E 79.5,50.7,82.5,81.03 1 1159 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21328 projected GSK-2011 / GSK 3GK CM 84E 82.5,49.58,85.5,77.56 1 1159 +proj=tmerc +lat_0=0 +lon_0=84 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21329 projected GSK-2011 / GSK 3GK CM 87E 85.5,49.07,88.5,77.16 1 1159 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21330 projected GSK-2011 / GSK 3GK CM 90E 88.5,49.44,91.5,81.28 1 1159 +proj=tmerc +lat_0=0 +lon_0=90 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21331 projected GSK-2011 / GSK 3GK CM 93E 91.5,50.16,94.5,81.26 1 1159 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21332 projected GSK-2011 / GSK 3GK CM 96E 94.5,49.73,97.5,81.35 1 1159 +proj=tmerc +lat_0=0 +lon_0=96 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21333 projected GSK-2011 / GSK 3GK CM 99E 97.5,49.79,100.5,80.9 1 1159 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21334 projected GSK-2011 / GSK 3GK CM 102E 100.5,50.17,103.5,79.71 1 1159 +proj=tmerc +lat_0=0 +lon_0=102 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21335 projected GSK-2011 / GSK 3GK CM 105E 103.5,50.13,106.5,79.21 1 1159 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21336 projected GSK-2011 / GSK 3GK CM 108E 106.5,49.25,109.5,78.4 1 1159 +proj=tmerc +lat_0=0 +lon_0=108 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21337 projected GSK-2011 / GSK 3GK CM 111E 109.5,49.14,112.5,76.81 1 1159 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21338 projected GSK-2011 / GSK 3GK CM 114E 112.5,49.49,115.5,76.7 1 1159 +proj=tmerc +lat_0=0 +lon_0=114 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21339 projected GSK-2011 / GSK 3GK CM 117E 115.5,49.51,118.5,74.43 1 1159 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21340 projected GSK-2011 / GSK 3GK CM 120E 118.5,49.87,121.5,73.63 1 1159 +proj=tmerc +lat_0=0 +lon_0=120 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21341 projected GSK-2011 / GSK 3GK CM 123E 121.5,53.18,124.5,74 1 1159 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21342 projected GSK-2011 / GSK 3GK CM 126E 124.5,49.88,127.5,74 1 1159 +proj=tmerc +lat_0=0 +lon_0=126 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21343 projected GSK-2011 / GSK 3GK CM 129E 127.5,42.67,130.5,73.59 1 1159 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21344 projected GSK-2011 / GSK 3GK CM 132E 130.5,42.25,133.5,71.99 1 1159 +proj=tmerc +lat_0=0 +lon_0=132 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21345 projected GSK-2011 / GSK 3GK CM 135E 133.5,42.74,136.5,75.9 1 1159 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21346 projected GSK-2011 / GSK 3GK CM 138E 136.5,44.76,139.5,76.27 1 1159 +proj=tmerc +lat_0=0 +lon_0=138 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21347 projected GSK-2011 / GSK 3GK CM 141E 139.5,45.84,142.5,76.23 1 1159 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21348 projected GSK-2011 / GSK 3GK CM 144E 142.5,43.61,145.5,75.98 1 1159 +proj=tmerc +lat_0=0 +lon_0=144 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21349 projected GSK-2011 / GSK 3GK CM 147E 145.5,43.6,148.5,76.76 1 1159 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21350 projected GSK-2011 / GSK 3GK CM 150E 148.5,45.21,151.5,76.82 1 1159 +proj=tmerc +lat_0=0 +lon_0=150 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21351 projected GSK-2011 / GSK 3GK CM 153E 151.5,46.72,154.5,76.26 1 1159 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21352 projected GSK-2011 / GSK 3GK CM 156E 154.5,49.02,157.5,77.2 1 1159 +proj=tmerc +lat_0=0 +lon_0=156 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21353 projected GSK-2011 / GSK 3GK CM 159E 157.5,51.36,160.5,71.12 1 1159 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21354 projected GSK-2011 / GSK 3GK CM 162E 160.5,54.34,163.5,70.98 1 1159 +proj=tmerc +lat_0=0 +lon_0=162 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21355 projected GSK-2011 / GSK 3GK CM 165E 163.5,54.69,166.5,69.82 1 1159 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21356 projected GSK-2011 / GSK 3GK CM 168E 166.5,54.45,169.5,70.07 1 1159 +proj=tmerc +lat_0=0 +lon_0=168 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21357 projected GSK-2011 / GSK 3GK CM 171E 169.5,59.86,172.5,70.19 1 1159 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21358 projected GSK-2011 / GSK 3GK CM 174E 172.5,60.99,175.5,70.02 1 1159 +proj=tmerc +lat_0=0 +lon_0=174 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21359 projected GSK-2011 / GSK 3GK CM 177E 175.5,62.09,178.5,71.1 1 1159 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21360 projected GSK-2011 / GSK 3GK CM 180E 178.5,62.24,-178.5,71.65 1 1159 +proj=tmerc +lat_0=0 +lon_0=180 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21361 projected GSK-2011 / GSK 3GK CM 177W -178.5,64.74,-175.5,71.61 1 1159 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21362 projected GSK-2011 / GSK 3GK CM 174W -175.5,64.2,-172.5,67.78 1 1159 +proj=tmerc +lat_0=0 +lon_0=-174 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21363 projected GSK-2011 / GSK 3GK CM 171W -172.5,64.35,-169.57,67.06 1 1159 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21364 projected GSK-2011 / GSK 3GK CM 168W -169.22,65.7,-168.97,65.86 1 1159 +proj=tmerc +lat_0=0 +lon_0=-168 +k=1 +x_0=250000 +y_0=0 +ellps=GSK2011 +towgs84=0,0,0 +units=m +no_defs +21413 projected Beijing 1954 / Gauss-Kruger zone 13 73.62,35.42,78.01,41.07 1 6214 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +21414 projected Beijing 1954 / Gauss-Kruger zone 14 77.98,29.16,84,47.23 1 6214 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +21415 projected Beijing 1954 / Gauss-Kruger zone 15 84,27.32,90,49.18 1 6214 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +21416 projected Beijing 1954 / Gauss-Kruger zone 16 90,27.71,96.01,47.9 6214 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=krass +units=m +no_defs +21417 projected Beijing 1954 / Gauss-Kruger zone 17 96,21.13,102.01,43.18 6214 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=krass +units=m +no_defs +21418 projected Beijing 1954 / Gauss-Kruger zone 18 102,21.53,108,42.47 1 6214 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +towgs84=11.911,-154.833,-80.079 +units=m +no_defs +21419 projected Beijing 1954 / Gauss-Kruger zone 19 108,18.11,114,45.11 15 6214 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +21420 projected Beijing 1954 / Gauss-Kruger zone 20 114,22.14,120,51.52 15 6214 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +21421 projected Beijing 1954 / Gauss-Kruger zone 21 120,26.34,126,53.56 15 6214 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +21422 projected Beijing 1954 / Gauss-Kruger zone 22 126,40.89,132,52.79 6214 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=krass +units=m +no_defs +21423 projected Beijing 1954 / Gauss-Kruger zone 23 132,45.02,134.77,48.4 6214 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=krass +units=m +no_defs +21453 projected Beijing 1954 / Gauss-Kruger CM 75E 73.62,35.42,78.01,41.07 1 6214 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +21454 projected Beijing 1954 / Gauss-Kruger CM 81E 77.98,29.16,84,47.23 1 6214 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +21455 projected Beijing 1954 / Gauss-Kruger CM 87E 84,27.32,90,49.18 1 6214 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.8,-154.4,-82.3 +units=m +no_defs +21456 projected Beijing 1954 / Gauss-Kruger CM 93E 90,27.71,96.01,47.9 6214 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +21457 projected Beijing 1954 / Gauss-Kruger CM 99E 96,21.13,102.01,43.18 6214 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +21458 projected Beijing 1954 / Gauss-Kruger CM 105E 102,21.53,108,42.47 1 6214 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=11.911,-154.833,-80.079 +units=m +no_defs +21459 projected Beijing 1954 / Gauss-Kruger CM 111E 108,18.11,114,45.11 15 6214 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=31.4,-144.3,-74.8,0,0,0.814,-0.38 +units=m +no_defs +21460 projected Beijing 1954 / Gauss-Kruger CM 117E 114,22.14,120,51.52 15 6214 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +21461 projected Beijing 1954 / Gauss-Kruger CM 123E 120,26.34,126,53.56 15 6214 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=15.53,-113.82,-41.38,0,0,0.814,-0.38 +units=m +no_defs +21462 projected Beijing 1954 / Gauss-Kruger CM 129E 126,40.89,132,52.79 6214 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +21463 projected Beijing 1954 / Gauss-Kruger CM 135E 132,45.02,134.77,48.4 6214 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=500000 +y_0=0 +ellps=krass +units=m +no_defs +21500 projected BD50 (Brussels) / Belge Lambert 50 2.5,49.5,6.4,51.51 6809 +proj=lcc +lat_0=90 +lon_0=0 +lat_1=49.8333333333333 +lat_2=51.1666666666667 +x_0=150000 +y_0=5400000 +ellps=intl +pm=4.367975 +units=m +no_defs +21780 projected CH1903 (Bern) / LV03C 5.95,45.81,10.5,47.81 6801 +proj=somerc +lat_0=46.9524055555556 +lon_0=0 +k_0=1 +x_0=0 +y_0=0 +ellps=bessel +pm=7.43958333333333 +units=m +no_defs +21781 projected CH1903 / LV03 5.95,45.81,10.5,47.81 1.5 6149 +proj=somerc +lat_0=46.9524055555556 +lon_0=7.43958333333333 +k_0=1 +x_0=600000 +y_0=200000 +ellps=bessel +towgs84=674.374,15.056,405.346 +units=m +no_defs +21782 projected CH1903 / LV03C-G 9.47,47.05,9.64,47.28 1.5 6149 +proj=somerc +lat_0=46.9524055555556 +lon_0=7.43958333333333 +k_0=1 +x_0=0 +y_0=0 +ellps=bessel +towgs84=674.374,15.056,405.346 +units=m +no_defs +21818 projected Bogota 1975 / UTM zone 18N -77.37,7.9,-72,13.68 10 6218 +proj=utm +zone=18 +ellps=intl +towgs84=307,304,-318 +units=m +no_defs +21896 projected Bogota 1975 / Colombia West zone -79.1,0.03,-75.58,10.21 10 6218 +proj=tmerc +lat_0=4.59904722222222 +lon_0=-77.0809166666667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=intl +towgs84=307,304,-318 +units=m +no_defs +21897 projected Bogota 1975 / Colombia Bogota zone -75.59,-2.51,-72.58,11.82 10 6218 +proj=tmerc +lat_0=4.59904722222222 +lon_0=-74.0809166666667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=intl +towgs84=307,304,-318 +units=m +no_defs +21898 projected Bogota 1975 / Colombia East Central zone -72.59,-4.23,-69.58,12.52 10 6218 +proj=tmerc +lat_0=4.59904722222222 +lon_0=-71.0809166666667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=intl +towgs84=307,304,-318 +units=m +no_defs +21899 projected Bogota 1975 / Colombia East zone -69.59,-2.25,-66.87,6.31 1 6218 +proj=tmerc +lat_0=4.59904722222222 +lon_0=-68.0809166666667 +k=1 +x_0=1000000 +y_0=1000000 +ellps=intl +towgs84=221.899,274.136,-397.554,-2.80844591036278,0.44850858891268,2.81017234679107,-2.199943 +units=m +no_defs +22032 projected Camacupa 1948 / UTM zone 32S 8.2,-17.26,12,-6.03 5 6220 +proj=utm +zone=32 +south +a=6378249.145 +rf=293.465 +towgs84=-50.9,-347.6,-231 +units=m +no_defs +22033 projected Camacupa 1948 / UTM zone 33S 12,-17.44,18,-5.82 5 6220 +proj=utm +zone=33 +south +a=6378249.145 +rf=293.465 +towgs84=-50.9,-347.6,-231 +units=m +no_defs +22091 projected Camacupa 1948 / TM 11.30 SE 10.83,-6.59,11.67,-6.03 5 6220 +proj=tmerc +lat_0=0 +lon_0=11.5 +k=0.9996 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +towgs84=-50.9,-347.6,-231 +units=m +no_defs +22092 projected Camacupa 1948 / TM 12 SE 8.2,-17.26,13.86,-6.01 5 6220 +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9996 +x_0=500000 +y_0=10000000 +a=6378249.145 +rf=293.465 +towgs84=-50.9,-347.6,-231 +units=m +no_defs +22171 projected POSGAR 98 / Argentina 1 -73.59,-52,-70.5,-36.16 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-72 +k=1 +x_0=1500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22172 projected POSGAR 98 / Argentina 2 -70.5,-54.9,-67.49,-24.08 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22173 projected POSGAR 98 / Argentina 3 -67.5,-55.11,-64.49,-21.78 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-66 +k=1 +x_0=3500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22174 projected POSGAR 98 / Argentina 4 -64.5,-54.91,-61.5,-21.99 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-63 +k=1 +x_0=4500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22175 projected POSGAR 98 / Argentina 5 -61.51,-39.06,-58.5,-23.37 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22176 projected POSGAR 98 / Argentina 6 -58.5,-38.59,-55.49,-24.84 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-57 +k=1 +x_0=6500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22177 projected POSGAR 98 / Argentina 7 -55.5,-28.11,-53.65,-25.49 1 6190 +proj=tmerc +lat_0=-90 +lon_0=-54 +k=1 +x_0=7500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22181 projected POSGAR 94 / Argentina 1 -73.59,-52,-70.5,-36.16 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-72 +k=1 +x_0=1500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22182 projected POSGAR 94 / Argentina 2 -70.5,-54.9,-67.49,-24.08 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22183 projected POSGAR 94 / Argentina 3 -67.5,-55.11,-64.49,-21.78 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-66 +k=1 +x_0=3500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22184 projected POSGAR 94 / Argentina 4 -64.5,-54.91,-61.5,-21.99 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-63 +k=1 +x_0=4500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22185 projected POSGAR 94 / Argentina 5 -61.51,-39.06,-58.5,-23.37 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22186 projected POSGAR 94 / Argentina 6 -58.5,-38.59,-55.49,-24.84 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-57 +k=1 +x_0=6500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22187 projected POSGAR 94 / Argentina 7 -55.5,-28.11,-53.65,-25.49 1 6694 +proj=tmerc +lat_0=-90 +lon_0=-54 +k=1 +x_0=7500000 +y_0=0 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +22191 projected Campo Inchauspe / Argentina 1 -73.59,-52,-70.5,-36.16 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-72 +k=1 +x_0=1500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22192 projected Campo Inchauspe / Argentina 2 -70.5,-52.43,-67.49,-24.08 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-69 +k=1 +x_0=2500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22193 projected Campo Inchauspe / Argentina 3 -67.5,-49.05,-64.49,-21.78 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-66 +k=1 +x_0=3500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22194 projected Campo Inchauspe / Argentina 4 -64.5,-43.14,-61.49,-21.99 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-63 +k=1 +x_0=4500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22195 projected Campo Inchauspe / Argentina 5 -61.51,-39.06,-58.5,-23.37 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22196 projected Campo Inchauspe / Argentina 6 -58.5,-38.59,-55.49,-24.84 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-57 +k=1 +x_0=6500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22197 projected Campo Inchauspe / Argentina 7 -55.5,-28.11,-53.65,-25.49 9 6221 +proj=tmerc +lat_0=-90 +lon_0=-54 +k=1 +x_0=7500000 +y_0=0 +ellps=intl +towgs84=-148,136,90 +units=m +no_defs +22207 projected NAD83(CSRS)v2 / UTM zone 7N -141.01,52.05,-138,72.53 1193 +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs +22208 projected NAD83(CSRS)v2 / UTM zone 8N -138,48.06,-132,79.42 1193 +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs +22209 projected NAD83(CSRS)v2 / UTM zone 9N -132,46.52,-126,80.93 1193 +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs +22210 projected NAD83(CSRS)v2 / UTM zone 10N -126,48.13,-120,81.8 1193 +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs +22211 projected NAD83(CSRS)v2 / UTM zone 11N -120,48.99,-114,83.5 1193 +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs +22212 projected NAD83(CSRS)v2 / UTM zone 12N -114,48.99,-108,84 1193 +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs +22213 projected NAD83(CSRS)v2 / UTM zone 13N -108,48.99,-102,84 1193 +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs +22214 projected NAD83(CSRS)v2 / UTM zone 14N -102,48.99,-96,84 1193 +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs +22215 projected NAD83(CSRS)v2 / UTM zone 15N -96,48.03,-90,84 1193 +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs +22216 projected NAD83(CSRS)v2 / UTM zone 16N -90,46.11,-84,84 1193 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +22217 projected NAD83(CSRS)v2 / UTM zone 17N -84,41.67,-78,84 1193 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +22218 projected NAD83(CSRS)v2 / UTM zone 18N -78,43.63,-72,84 1193 +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs +22219 projected NAD83(CSRS)v2 / UTM zone 19N -72,40.8,-66,84 1193 +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs +22220 projected NAD83(CSRS)v2 / UTM zone 20N -66,38.21,-59.99,84 1193 +proj=utm +zone=20 +ellps=GRS80 +units=m +no_defs +22221 projected NAD83(CSRS)v2 / UTM zone 21N -60,38.56,-54,84 1193 +proj=utm +zone=21 +ellps=GRS80 +units=m +no_defs +22222 projected NAD83(CSRS)v2 / UTM zone 22N -54,39.5,-47.99,57.65 1193 +proj=utm +zone=22 +ellps=GRS80 +units=m +no_defs +22229 projected RGSH2020 / UTM zone 29N -8.67,25.73,-6,29.85 1 1355 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22230 projected RGSH2020 / UTM zone 30N -6,21.82,0,37.01 1 1355 +proj=utm +zone=30 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22231 projected RGSH2020 / UTM zone 31N 0,18.97,6.01,38.77 1 1355 +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22232 projected RGSH2020 / UTM zone 32N 6,19.6,11.99,38.8 1 1355 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +22234 projected Cape / UTM zone 34S 19.99,-26.88,24,-17.99 9 6222 +proj=utm +zone=34 +south +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22235 projected Cape / UTM zone 35S 24,-25.84,29.38,-17.78 9 6222 +proj=utm +zone=35 +south +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22239 projected NAD83(CSRS)v2 / PEI Stereographic -64.49,45.9,-61.9,47.09 1193 +proj=sterea +lat_0=47.25 +lon_0=-63 +k=0.999912 +x_0=400000 +y_0=800000 +ellps=GRS80 +units=m +no_defs +22240 projected NAD83(CSRS)v2 / NB Stereographic -69.05,44.56,-63.7,48.07 1193 +proj=sterea +lat_0=46.5 +lon_0=-66.5 +k=0.999912 +x_0=2500000 +y_0=7500000 +ellps=GRS80 +units=m +no_defs +22243 projected NAD83(CSRS)v2 / SCoPQ zone 3 -60,50.2,-57.1,52.01 1193 +proj=tmerc +lat_0=0 +lon_0=-58.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22244 projected NAD83(CSRS)v2 / SCoPQ zone 4 -63,47.16,-60,52.01 1193 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22245 projected NAD83(CSRS)v2 / SCoPQ zone 5 -66,47.95,-63,60.42 1193 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22246 projected NAD83(CSRS)v2 / SCoPQ zone 6 -69,47.31,-66,59 1193 +proj=tmerc +lat_0=0 +lon_0=-67.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22247 projected NAD83(CSRS)v2 / SCoPQ zone 7 -72,45.01,-69,61.8 1193 +proj=tmerc +lat_0=0 +lon_0=-70.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22248 projected NAD83(CSRS)v2 / SCoPQ zone 8 -75,44.99,-72,62.53 1193 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22249 projected NAD83(CSRS)v2 / SCoPQ zone 9 -78,45.37,-75,62.62 1193 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22250 projected NAD83(CSRS)v2 / SCoPQ zone 10 -79.85,46.23,-78,62.45 1193 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22262 projected NAD83(CSRS)v2 / Alberta 3TM ref merid 111 W -112.5,48.99,-109.98,60 1193 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22263 projected NAD83(CSRS)v2 / Alberta 3TM ref merid 114 W -115.5,48.99,-112.5,60 1193 +proj=tmerc +lat_0=0 +lon_0=-114 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22264 projected NAD83(CSRS)v2 / Alberta 3TM ref merid 117 W -118.5,50.77,-115.5,60 1193 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22265 projected NAD83(CSRS)v2 / Alberta 3TM ref merid 120 W -120,52.88,-118.5,60 1193 +proj=tmerc +lat_0=0 +lon_0=-120 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22275 projected Cape / Lo15 14.35,-23.15,14.6,-22.68 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=15 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +units=m +no_defs +22277 projected Cape / Lo17 16.45,-33.1,18,-28.03 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=17 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22279 projected Cape / Lo19 17.99,-34.88,20,-28.38 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=19 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22281 projected Cape / Lo21 19.99,-34.88,22.01,-24.76 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=21 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22283 projected Cape / Lo23 22,-34.26,24.01,-25.26 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=23 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22285 projected Cape / Lo25 24,-34.26,26.01,-24.71 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=25 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22287 projected Cape / Lo27 26,-33.83,28,-22.92 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=27 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22289 projected Cape / Lo29 27.99,-33.03,30.01,-22.13 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=29 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22291 projected Cape / Lo31 29.99,-31.38,32.02,-22.22 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=31 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22293 projected Cape / Lo33 31.95,-28.94,32.95,-26.8 9 6222 +proj=tmerc +axis=wsu +lat_0=0 +lon_0=33 +k=1 +x_0=0 +y_0=0 +a=6378249.145 +rf=293.4663077 +towgs84=-136,-108,-292 +units=m +no_defs +22307 projected NAD83(CSRS)v3 / UTM zone 7N -141.01,52.05,-138,72.53 1194 +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs +22308 projected NAD83(CSRS)v3 / UTM zone 8N -138,48.06,-132,79.42 1194 +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs +22309 projected NAD83(CSRS)v3 / UTM zone 9N -132,46.52,-126,80.93 1194 +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs +22310 projected NAD83(CSRS)v3 / UTM zone 10N -126,48.13,-120,81.8 1194 +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs +22311 projected NAD83(CSRS)v3 / UTM zone 11N -120,48.99,-114,83.5 1194 +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs +22312 projected NAD83(CSRS)v3 / UTM zone 12N -114,48.99,-108,84 1194 +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs +22313 projected NAD83(CSRS)v3 / UTM zone 13N -108,48.99,-102,84 1194 +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs +22314 projected NAD83(CSRS)v3 / UTM zone 14N -102,48.99,-96,84 1194 +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs +22315 projected NAD83(CSRS)v3 / UTM zone 15N -96,48.03,-90,84 1194 +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs +22316 projected NAD83(CSRS)v3 / UTM zone 16N -90,46.11,-84,84 1194 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +22317 projected NAD83(CSRS)v3 / UTM zone 17N -84,41.67,-78,84 1194 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +22318 projected NAD83(CSRS)v3 / UTM zone 18N -78,43.63,-72,84 1194 +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs +22319 projected NAD83(CSRS)v3 / UTM zone 19N -72,40.8,-66,84 1194 +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs +22320 projected NAD83(CSRS)v3 / UTM zone 20N -66,38.21,-59.99,84 1194 +proj=utm +zone=20 +ellps=GRS80 +units=m +no_defs +22321 projected NAD83(CSRS)v3 / UTM zone 21N -60,38.56,-54,84 1194 +proj=utm +zone=21 +ellps=GRS80 +units=m +no_defs +22322 projected NAD83(CSRS)v3 / UTM zone 22N -54,39.5,-47.99,57.65 1194 +proj=utm +zone=22 +ellps=GRS80 +units=m +no_defs +22332 projected Carthage / UTM zone 32N 7.81,33.22,13.67,38.41 1 6223 +proj=utm +zone=32 +ellps=clrk80ign +towgs84=-260.1,5.5,432.2 +units=m +no_defs +22337 projected NAD83(CSRS)v3 / MTM NS 1997 zone 5 -66.28,43.41,-63,46.02 1194 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=15500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +22338 projected NAD83(CSRS)v3 / MTM NS 1997 zone 4 -63,44.64,-59.73,47.08 1194 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=14500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +22348 projected NAD83(CSRS)v3 / MTM zone 8 -75,44.98,-74.35,45.65 1194 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22349 projected NAD83(CSRS)v3 / MTM zone 9 -78,43.63,-75,46.25 1194 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22350 projected NAD83(CSRS)v3 / MTM zone 10 -81,42.26,-77.99,47.33 1194 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22351 projected NAD83(CSRS)v3 / MTM zone 11 -83.6,41.67,-81,46 1194 +proj=tmerc +lat_0=0 +lon_0=-82.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22352 projected NAD83(CSRS)v3 / MTM zone 12 -82.5,46,-79.5,55.21 1194 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22353 projected NAD83(CSRS)v3 / MTM zone 13 -85.5,46,-82.5,55.59 1194 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22354 projected NAD83(CSRS)v3 / MTM zone 14 -88.5,47.17,-85.5,56.7 1194 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22355 projected NAD83(CSRS)v3 / MTM zone 15 -91.5,47.97,-88.5,56.9 1194 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22356 projected NAD83(CSRS)v3 / MTM zone 16 -94.5,48.06,-91.5,55.2 1194 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22357 projected NAD83(CSRS)v3 / MTM zone 17 -95.16,48.69,-94.5,53.24 1194 +proj=tmerc +lat_0=0 +lon_0=-96 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22391 projected Carthage / Nord Tunisie 8.18,34.65,11.37,37.4 1 6223 +proj=lcc +lat_1=36 +lat_0=36 +lon_0=9.9 +k_0=0.999625544 +x_0=500000 +y_0=300000 +ellps=clrk80ign +towgs84=-260.1,5.5,432.2 +units=m +no_defs +22392 projected Carthage / Sud Tunisie 7.49,30.23,11.59,34.66 14 6223 +proj=lcc +lat_1=33.3 +lat_0=33.3 +lon_0=9.9 +k_0=0.999625769 +x_0=500000 +y_0=300000 +ellps=clrk80ign +towgs84=-263,6,431 +units=m +no_defs +22407 projected NAD83(CSRS)v4 / UTM zone 7N -141.01,52.05,-138,72.53 1195 +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs +22408 projected NAD83(CSRS)v4 / UTM zone 8N -138,48.06,-132,79.42 1195 +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs +22409 projected NAD83(CSRS)v4 / UTM zone 9N -132,46.52,-126,80.93 1195 +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs +22410 projected NAD83(CSRS)v4 / UTM zone 10N -126,48.13,-120,81.8 1195 +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs +22411 projected NAD83(CSRS)v4 / UTM zone 11N -120,48.99,-114,83.5 1195 +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs +22412 projected NAD83(CSRS)v4 / UTM zone 12N -114,48.99,-108,84 1195 +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs +22413 projected NAD83(CSRS)v4 / UTM zone 13N -108,48.99,-102,84 1195 +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs +22414 projected NAD83(CSRS)v4 / UTM zone 14N -102,48.99,-96,84 1195 +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs +22415 projected NAD83(CSRS)v4 / UTM zone 15N -96,48.03,-90,84 1195 +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs +22416 projected NAD83(CSRS)v4 / UTM zone 16N -90,46.11,-84,84 1195 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +22417 projected NAD83(CSRS)v4 / UTM zone 17N -84,41.67,-78,84 1195 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +22418 projected NAD83(CSRS)v4 / UTM zone 18N -78,43.63,-72,84 1195 +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs +22419 projected NAD83(CSRS)v4 / UTM zone 19N -72,40.8,-66,84 1195 +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs +22420 projected NAD83(CSRS)v4 / UTM zone 20N -66,38.21,-59.99,84 1195 +proj=utm +zone=20 +ellps=GRS80 +units=m +no_defs +22421 projected NAD83(CSRS)v4 / UTM zone 21N -60,38.56,-54,84 1195 +proj=utm +zone=21 +ellps=GRS80 +units=m +no_defs +22422 projected NAD83(CSRS)v4 / UTM zone 22N -54,39.5,-47.99,57.65 1195 +proj=utm +zone=22 +ellps=GRS80 +units=m +no_defs +22462 projected NAD83(CSRS)v4 / Alberta 3TM ref merid 111 W -112.5,48.99,-109.98,60 1195 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22463 projected NAD83(CSRS)v4 / Alberta 3TM ref merid 114 W -115.5,48.99,-112.5,60 1195 +proj=tmerc +lat_0=0 +lon_0=-114 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22464 projected NAD83(CSRS)v4 / Alberta 3TM ref merid 117 W -118.5,50.77,-115.5,60 1195 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22465 projected NAD83(CSRS)v4 / Alberta 3TM ref merid 120 W -120,52.88,-118.5,60 1195 +proj=tmerc +lat_0=0 +lon_0=-120 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22521 projected Corrego Alegre 1970-72 / UTM zone 21S -58.16,-31.91,-54,-17.99 5 6225 +proj=utm +zone=21 +south +ellps=intl +towgs84=-206.05,168.28,-3.82 +units=m +no_defs +22522 projected Corrego Alegre 1970-72 / UTM zone 22S -54,-33.78,-48,-15 5 6225 +proj=utm +zone=22 +south +ellps=intl +towgs84=-206.05,168.28,-3.82 +units=m +no_defs +22523 projected Corrego Alegre 1970-72 / UTM zone 23S -48,-25.29,-42,-15 5 6225 +proj=utm +zone=23 +south +ellps=intl +towgs84=-206.05,168.28,-3.82 +units=m +no_defs +22524 projected Corrego Alegre 1970-72 / UTM zone 24S -42,-22.96,-36,-2.68 5 6225 +proj=utm +zone=24 +south +ellps=intl +towgs84=-206.05,168.28,-3.82 +units=m +no_defs +22525 projected Corrego Alegre 1970-72 / UTM zone 25S -36,-10.1,-34.74,-4.99 5 6225 +proj=utm +zone=25 +south +ellps=intl +towgs84=-206.05,168.28,-3.82 +units=m +no_defs +22607 projected NAD83(CSRS)v6 / UTM zone 7N -141.01,52.05,-138,72.53 1197 +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs +22608 projected NAD83(CSRS)v6 / UTM zone 8N -138,48.06,-132,79.42 1197 +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs +22609 projected NAD83(CSRS)v6 / UTM zone 9N -132,46.52,-126,80.93 1197 +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs +22610 projected NAD83(CSRS)v6 / UTM zone 10N -126,48.13,-120,81.8 1197 +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs +22611 projected NAD83(CSRS)v6 / UTM zone 11N -120,48.99,-114,83.5 1197 +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs +22612 projected NAD83(CSRS)v6 / UTM zone 12N -114,48.99,-108,84 1197 +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs +22613 projected NAD83(CSRS)v6 / UTM zone 13N -108,48.99,-102,84 1197 +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs +22614 projected NAD83(CSRS)v6 / UTM zone 14N -102,48.99,-96,84 1197 +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs +22615 projected NAD83(CSRS)v6 / UTM zone 15N -96,48.03,-90,84 1197 +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs +22616 projected NAD83(CSRS)v6 / UTM zone 16N -90,46.11,-84,84 1197 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +22617 projected NAD83(CSRS)v6 / UTM zone 17N -84,41.67,-78,84 1197 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +22618 projected NAD83(CSRS)v6 / UTM zone 18N -78,43.63,-72,84 1197 +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs +22619 projected NAD83(CSRS)v6 / UTM zone 19N -72,40.8,-66,84 1197 +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs +22620 projected NAD83(CSRS)v6 / UTM zone 20N -66,38.21,-59.99,84 1197 +proj=utm +zone=20 +ellps=GRS80 +units=m +no_defs +22621 projected NAD83(CSRS)v6 / UTM zone 21N -60,38.56,-54,84 1197 +proj=utm +zone=21 +ellps=GRS80 +units=m +no_defs +22622 projected NAD83(CSRS)v6 / UTM zone 22N -54,39.5,-47.99,57.65 1197 +proj=utm +zone=22 +ellps=GRS80 +units=m +no_defs +22639 projected NAD83(CSRS)v6 / PEI Stereographic -64.49,45.9,-61.9,47.09 1197 +proj=sterea +lat_0=47.25 +lon_0=-63 +k=0.999912 +x_0=400000 +y_0=800000 +ellps=GRS80 +units=m +no_defs +22641 projected NAD83(CSRS)v6 / MTM zone 1 -54.5,46.56,-52.54,49.89 1197 +proj=tmerc +lat_0=0 +lon_0=-53 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22642 projected NAD83(CSRS)v6 / MTM zone 2 -57.5,46.81,-54.49,54.71 1197 +proj=tmerc +lat_0=0 +lon_0=-56 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22643 projected NAD83(CSRS)v6 / MTM zone 3 -59.48,47.5,-57.5,50.54 1197 +proj=tmerc +lat_0=0 +lon_0=-58.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22644 projected NAD83(CSRS)v6 / MTM zone 4 -63,52,-60,58.92 1197 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22645 projected NAD83(CSRS)v6 / MTM zone 5 -66,51.58,-63,60.52 1197 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22646 projected NAD83(CSRS)v6 / MTM zone 6 -67.81,52.05,-66,55.34 1197 +proj=tmerc +lat_0=0 +lon_0=-67.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22648 projected NAD83(CSRS)v6 / MTM zone 8 -75,44.98,-74.35,45.65 1197 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22649 projected NAD83(CSRS)v6 / MTM zone 9 -78,43.63,-75,46.25 1197 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22650 projected NAD83(CSRS)v6 / MTM zone 10 -81,42.26,-77.99,47.33 1197 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22651 projected NAD83(CSRS)v6 / MTM zone 11 -83.6,41.67,-81,46 1197 +proj=tmerc +lat_0=0 +lon_0=-82.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22652 projected NAD83(CSRS)v6 / MTM zone 12 -82.5,46,-79.5,55.21 1197 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22653 projected NAD83(CSRS)v6 / MTM zone 13 -85.5,46,-82.5,55.59 1197 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22654 projected NAD83(CSRS)v6 / MTM zone 14 -88.5,47.17,-85.5,56.7 1197 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22655 projected NAD83(CSRS)v6 / MTM zone 15 -91.5,47.97,-88.5,56.9 1197 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22656 projected NAD83(CSRS)v6 / MTM zone 16 -94.5,48.06,-91.5,55.2 1197 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22657 projected NAD83(CSRS)v6 / MTM zone 17 -95.16,48.69,-94.5,53.24 1197 +proj=tmerc +lat_0=0 +lon_0=-96 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +units=m +no_defs +22707 projected NAD83(CSRS)v7 / UTM zone 7N -141.01,52.05,-138,72.53 1198 +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs +22708 projected NAD83(CSRS)v7 / UTM zone 8N -138,48.06,-132,79.42 1198 +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs +22709 projected NAD83(CSRS)v7 / UTM zone 9N -132,46.52,-126,80.93 1198 +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs +22710 projected NAD83(CSRS)v7 / UTM zone 10N -126,48.13,-120,81.8 1198 +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs +22711 projected NAD83(CSRS)v7 / UTM zone 11N -120,48.99,-114,83.5 1198 +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs +22712 projected NAD83(CSRS)v7 / UTM zone 12N -114,48.99,-108,84 1198 +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs +22713 projected NAD83(CSRS)v7 / UTM zone 13N -108,48.99,-102,84 1198 +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs +22714 projected NAD83(CSRS)v7 / UTM zone 14N -102,48.99,-96,84 1198 +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs +22715 projected NAD83(CSRS)v7 / UTM zone 15N -96,48.03,-90,84 1198 +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs +22716 projected NAD83(CSRS)v7 / UTM zone 16N -90,46.11,-84,84 1198 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +22717 projected NAD83(CSRS)v7 / UTM zone 17N -84,41.67,-78,84 1198 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +22718 projected NAD83(CSRS)v7 / UTM zone 18N -78,43.63,-72,84 1198 +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs +22719 projected NAD83(CSRS)v7 / UTM zone 19N -72,40.8,-66,84 1198 +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs +22720 projected NAD83(CSRS)v7 / UTM zone 20N -66,38.21,-59.99,84 1198 +proj=utm +zone=20 +ellps=GRS80 +units=m +no_defs +22721 projected NAD83(CSRS)v7 / UTM zone 21N -60,38.56,-54,84 1198 +proj=utm +zone=21 +ellps=GRS80 +units=m +no_defs +22722 projected NAD83(CSRS)v7 / UTM zone 22N -54,39.5,-47.99,57.65 1198 +proj=utm +zone=22 +ellps=GRS80 +units=m +no_defs +22739 projected NAD83(CSRS)v7 / PEI Stereographic -64.49,45.9,-61.9,47.09 1198 +proj=sterea +lat_0=47.25 +lon_0=-63 +k=0.999912 +x_0=400000 +y_0=800000 +ellps=GRS80 +units=m +no_defs +22762 projected NAD83(CSRS)v7 / Alberta 3TM ref merid 111 W -112.5,48.99,-109.98,60 1198 +proj=tmerc +lat_0=0 +lon_0=-111 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22763 projected NAD83(CSRS)v7 / Alberta 3TM ref merid 114 W -115.5,48.99,-112.5,60 1198 +proj=tmerc +lat_0=0 +lon_0=-114 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22764 projected NAD83(CSRS)v7 / Alberta 3TM ref merid 117 W -118.5,50.77,-115.5,60 1198 +proj=tmerc +lat_0=0 +lon_0=-117 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22765 projected NAD83(CSRS)v7 / Alberta 3TM ref merid 120 W -120,52.88,-118.5,60 1198 +proj=tmerc +lat_0=0 +lon_0=-120 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs +22770 projected Deir ez Zor / Syria Lambert 35.04,32.31,42.38,37.3 5 6227 +proj=lcc +lat_1=34.65 +lat_0=34.65 +lon_0=37.35 +k_0=0.9996256 +x_0=300000 +y_0=300000 +ellps=clrk80ign +towgs84=-190.421,8.532,238.69 +units=m +no_defs +22780 projected Deir ez Zor / Levant Stereographic 35.04,32.31,42.38,37.3 5 6227 +proj=sterea +lat_0=34.2 +lon_0=39.15 +k=0.9995341 +x_0=0 +y_0=0 +ellps=clrk80ign +towgs84=-190.421,8.532,238.69 +units=m +no_defs +22807 projected NAD83(CSRS)v8 / UTM zone 7N -141.01,52.05,-138,72.53 1365 +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs +22808 projected NAD83(CSRS)v8 / UTM zone 8N -138,48.06,-132,79.42 1365 +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs +22809 projected NAD83(CSRS)v8 / UTM zone 9N -132,46.52,-126,80.93 1365 +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs +22810 projected NAD83(CSRS)v8 / UTM zone 10N -126,48.13,-120,81.8 1365 +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs +22811 projected NAD83(CSRS)v8 / UTM zone 11N -120,48.99,-114,83.5 1365 +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs +22812 projected NAD83(CSRS)v8 / UTM zone 12N -114,48.99,-108,84 1365 +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs +22813 projected NAD83(CSRS)v8 / UTM zone 13N -108,48.99,-102,84 1365 +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs +22814 projected NAD83(CSRS)v8 / UTM zone 14N -102,48.99,-96,84 1365 +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs +22815 projected NAD83(CSRS)v8 / UTM zone 15N -96,48.03,-90,84 1365 +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs +22816 projected NAD83(CSRS)v8 / UTM zone 16N -90,46.11,-84,84 1365 +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs +22817 projected NAD83(CSRS)v8 / UTM zone 17N -84,41.67,-78,84 1365 +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs +22818 projected NAD83(CSRS)v8 / UTM zone 18N -78,43.63,-72,84 1365 +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs +22819 projected NAD83(CSRS)v8 / UTM zone 19N -72,40.8,-66,84 1365 +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs +22820 projected NAD83(CSRS)v8 / UTM zone 20N -66,38.21,-59.99,84 1365 +proj=utm +zone=20 +ellps=GRS80 +units=m +no_defs +22821 projected NAD83(CSRS)v8 / UTM zone 21N -60,38.56,-54,84 1365 +proj=utm +zone=21 +ellps=GRS80 +units=m +no_defs +22822 projected NAD83(CSRS)v8 / UTM zone 22N -54,39.5,-47.99,57.65 1365 +proj=utm +zone=22 +ellps=GRS80 +units=m +no_defs +22991 projected Egypt 1907 / Blue Belt 33,21.97,36.95,31.36 11 6229 +proj=tmerc +lat_0=30 +lon_0=35 +k=1 +x_0=300000 +y_0=1100000 +ellps=helmert +towgs84=-130,110,-13 +units=m +no_defs +22992 projected Egypt 1907 / Red Belt 29,21.99,34.27,33.82 11 6229 +proj=tmerc +lat_0=30 +lon_0=31 +k=1 +x_0=615000 +y_0=810000 +ellps=helmert +towgs84=-130,110,-13 +units=m +no_defs +22993 projected Egypt 1907 / Purple Belt 24.7,28.18,29,31.68 11 6229 +proj=tmerc +lat_0=30 +lon_0=27 +k=1 +x_0=700000 +y_0=200000 +ellps=helmert +towgs84=-130,110,-13 +units=m +no_defs +22994 projected Egypt 1907 / Extended Purple Belt 24.99,21.99,29.01,28.19 11 6229 +proj=tmerc +lat_0=30 +lon_0=27 +k=1 +x_0=700000 +y_0=1200000 +ellps=helmert +towgs84=-130,110,-13 +units=m +no_defs +23028 projected ED50 / UTM zone 28N -16.1,48.43,-12,56.57 1 6230 +proj=utm +zone=28 +ellps=intl +towgs84=-89.5,-93.8,-123.1,0,0,-0.156,1.2 +units=m +no_defs +23029 projected ED50 / UTM zone 29N -12,36.13,-6,62.41 10 6230 +proj=utm +zone=29 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23030 projected ED50 / UTM zone 30N -6,35.26,0.01,80.49 10 6230 +proj=utm +zone=30 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23031 projected ED50 / UTM zone 31N 0,38.56,6,82.45 10 6230 +proj=utm +zone=31 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23032 projected ED50 / UTM zone 32N 5.99,36.53,12,84.33 10 6230 +proj=utm +zone=32 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23033 projected ED50 / UTM zone 33N 12,34.49,18.01,84.42 10 6230 +proj=utm +zone=33 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23034 projected ED50 / UTM zone 34N 17.99,33.59,24.01,84.54 10 6230 +proj=utm +zone=34 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23035 projected ED50 / UTM zone 35N 24,25.71,30.01,84.73 10 6230 +proj=utm +zone=35 +ellps=intl +towgs84=-87,-98,-121 +units=m +no_defs +23036 projected ED50 / UTM zone 36N 30,29.19,36,84.7 10 6230 +proj=utm +zone=36 +ellps=intl +towgs84=-89.05,-87.03,-124.56 +units=m +no_defs +23037 projected ED50 / UTM zone 37N 36,29.18,42,79.07 10 6230 +proj=utm +zone=37 +ellps=intl +towgs84=-89.05,-87.03,-124.56 +units=m +no_defs +23038 projected ED50 / UTM zone 38N 42,36.97,44.83,41.6 2 6230 +proj=utm +zone=38 +ellps=intl +towgs84=-84.1,-101.8,-129.7,0,0,0.468,1.05 +units=m +no_defs +23090 projected ED50 / TM 0 N -5.05,51.03,3.4,62.03 1 6230 +proj=tmerc +lat_0=0 +lon_0=0 +k=0.9996 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-89.5,-93.8,-123.1,0,0,-0.156,1.2 +units=m +no_defs +23095 projected ED50 / TM 5 NE 2.53,51.44,6.37,55.77 1 6230 +proj=tmerc +lat_0=0 +lon_0=5 +k=0.9996 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-89.5,-93.8,-123.1,0,0,-0.156,1.2 +units=m +no_defs +23239 projected Fahud / UTM zone 39N 51.99,16.59,54,19.67 7 6232 +proj=utm +zone=39 +a=6378249.145 +rf=293.465 +towgs84=-345,3,223 +units=m +no_defs +23240 projected Fahud / UTM zone 40N 54,16.89,59.91,26.42 7 6232 +proj=utm +zone=40 +a=6378249.145 +rf=293.465 +towgs84=-345,3,223 +units=m +no_defs +23301 projected NAD83(2011) / ICS83-Freeport (ftUS) -90.66,41.92,-89.39,42.51 2 1116 +proj=lcc +lat_1=42.2 +lat_0=42.2 +lon_0=-89.95 +k_0=1.000029 +x_0=549860.2997206 +y_0=230124.460248921 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23302 projected NAD83(2011) / ICS83-Rockford (ftUS) -89.69,41.58,-88.93,42.51 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-89.25 +k=1.000029 +x_0=860147.320294641 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23303 projected NAD83(2011) / ICS83-Aurora (ftUS) -88.95,41.45,-88.19,42.5 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-88.5 +k=1.00003 +x_0=1150012.7000254 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23304 projected NAD83(2011) / ICS83-Chicago (ftUS) -88.27,41.46,-87.52,42.5 2 1116 +proj=tmerc +lat_0=41.25 +lon_0=-87.8 +k=1.000023 +x_0=1449936.499873 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23305 projected NAD83(2011) / ICS83-Moline (ftUS) -91.08,41.32,-90.15,41.79 2 1116 +proj=lcc +lat_1=41.55 +lat_0=41.55 +lon_0=-90.6 +k_0=1.000024 +x_0=1749860.2997206 +y_0=230124.460248921 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23306 projected NAD83(2011) / ICS83-Sterling (ftUS) -90.44,41.14,-89.62,41.94 2 1116 +proj=lcc +lat_1=41.55 +lat_0=41.55 +lon_0=-90.05 +k_0=1.00002 +x_0=2050088.9001778 +y_0=230124.460248921 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23307 projected NAD83(2011) / ICS83-Ottawa (ftUS) -89.87,40.92,-88.24,41.64 2 1116 +proj=lcc +lat_1=41.3 +lat_0=41.3 +lon_0=-89.05 +k_0=1.000023 +x_0=2360071.12014224 +y_0=230124.460248921 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23308 projected NAD83(2011) / ICS83-Joliet (ftUS) -88.27,40.99,-87.52,41.73 2 1116 +proj=tmerc +lat_0=40.55 +lon_0=-88 +k=1.000022 +x_0=2649936.499873 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23309 projected NAD83(2011) / ICS83-Monmouth (ftUS) -91.19,40.62,-90.43,41.34 2 1116 +proj=tmerc +lat_0=40.2 +lon_0=-90.85 +k=1.000024 +x_0=2949860.2997206 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23310 projected NAD83(2011) / ICS83-Galesburg (ftUS) -90.46,40.18,-89.63,41.24 2 1116 +proj=tmerc +lat_0=37.25 +lon_0=-90.1 +k=1.000023 +x_0=70104.1402082804 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23311 projected NAD83(2011) / ICS83-Peoria (ftUS) -89.99,40.31,-89.26,40.98 2 1116 +proj=tmerc +lat_0=37.4 +lon_0=-89.65 +k=1.000023 +x_0=420015.24003048 +y_0=189585.979171958 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23312 projected NAD83(2011) / ICS83-Eureka (ftUS) -89.64,40.59,-88.92,41.15 2 1116 +proj=tmerc +lat_0=37.45 +lon_0=-89.3 +k=1.000025 +x_0=840030.48006096 +y_0=130149.860299721 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23313 projected NAD83(2011) / ICS83-Bloomington (ftUS) -89.27,40.28,-88.45,40.76 2 1116 +proj=lcc +lat_1=40.5 +lat_0=40.5 +lon_0=-88.85 +k_0=1.000031 +x_0=1150012.7000254 +y_0=530048.26009652 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23314 projected NAD83(2011) / ICS83-Pontiac (ftUS) -88.94,40.61,-88.23,41.12 2 1116 +proj=lcc +lat_1=40.9 +lat_0=40.9 +lon_0=-88.55 +k_0=1.000025 +x_0=1449936.499873 +y_0=530048.26009652 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23315 projected NAD83(2011) / ICS83-Watseka (ftUS) -88.46,40.39,-87.52,41.02 2 1116 +proj=lcc +lat_1=40.75 +lat_0=40.75 +lon_0=-87.95 +k_0=1.000024 +x_0=1749860.2997206 +y_0=530048.26009652 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23316 projected NAD83(2011) / ICS83-Quincy (ftUS) -91.52,39.75,-90.9,40.64 2 1116 +proj=tmerc +lat_0=36.75 +lon_0=-91.25 +k=1.000023 +x_0=2050088.9001778 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23317 projected NAD83(2011) / ICS83-Macomb (ftUS) -90.92,39.83,-90.19,40.64 2 1116 +proj=tmerc +lat_0=36.8 +lon_0=-90.6 +k=1.000024 +x_0=2350012.7000254 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23318 projected NAD83(2011) / ICS83-Lincoln (ftUS) -90.59,39.87,-89.14,40.44 2 1116 +proj=lcc +lat_1=40.15 +lat_0=40.15 +lon_0=-89.8 +k_0=1.000018 +x_0=2670053.34010668 +y_0=530048.26009652 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23319 projected NAD83(2011) / ICS83-Decatur (ftUS) -89.22,39.21,-88.46,40.29 2 1116 +proj=tmerc +lat_0=36.3 +lon_0=-88.8 +k=1.000024 +x_0=2949860.2997206 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23320 projected NAD83(2011) / ICS83-Champaign (ftUS) -88.47,39.86,-87.52,40.5 2 1116 +proj=lcc +lat_1=40.15 +lat_0=40.15 +lon_0=-88 +k_0=1.000026 +x_0=99974.5999491999 +y_0=860147.320294641 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23321 projected NAD83(2011) / ICS83-Jacksonville (ftUS) -91.38,39.39,-89.92,39.88 2 1116 +proj=lcc +lat_1=39.65 +lat_0=39.65 +lon_0=-90.6 +k_0=1.000023 +x_0=380086.36017272 +y_0=860147.320294641 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23322 projected NAD83(2011) / ICS83-Springfield (ftUS) -90,39.52,-89.21,39.98 2 1116 +proj=lcc +lat_1=39.75 +lat_0=39.75 +lon_0=-89.65 +k_0=1.000022 +x_0=709880.61976124 +y_0=879959.35991872 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23323 projected NAD83(2011) / ICS83-Charleston (ftUS) -88.48,39.37,-87.53,39.89 2 1116 +proj=lcc +lat_1=39.65 +lat_0=39.65 +lon_0=-88 +k_0=1.000024 +x_0=1150012.7000254 +y_0=840030.48006096 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23324 projected NAD83(2011) / ICS83-Jerseyville (ftUS) -90.94,38.86,-90.14,39.41 2 1116 +proj=tmerc +lat_0=32.85 +lon_0=-90.5 +k=1.000019 +x_0=1449936.499873 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23325 projected NAD83(2011) / ICS83-Carlinville (ftUS) -90.63,38.99,-89.69,39.53 2 1116 +proj=lcc +lat_1=39.3 +lat_0=39.3 +lon_0=-90.15 +k_0=1.00002 +x_0=1749860.2997206 +y_0=840030.48006096 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23326 projected NAD83(2011) / ICS83-Taylorville (ftUS) -89.71,38.99,-89.02,39.83 2 1116 +proj=tmerc +lat_0=33.15 +lon_0=-89.4 +k=1.000023 +x_0=2050088.9001778 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23327 projected NAD83(2011) / ICS83-Effingham (ftUS) -89.64,38.73,-88.36,39.22 2 1116 +proj=lcc +lat_1=38.95 +lat_0=38.95 +lon_0=-89 +k_0=1.000019 +x_0=2350012.7000254 +y_0=840030.48006096 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23328 projected NAD83(2011) / ICS83-Robinson (ftUS) -88.48,38.84,-87.51,39.49 2 1116 +proj=lcc +lat_1=39.1 +lat_0=39.1 +lon_0=-88 +k_0=1.000017 +x_0=2649936.499873 +y_0=840030.48006096 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23329 projected NAD83(2011) / ICS83-Belleville (ftUS) -90.38,38.08,-89.59,39 2 1116 +proj=tmerc +lat_0=32.35 +lon_0=-90 +k=1.000016 +x_0=2949860.2997206 +y_0=149961.8999238 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23330 projected NAD83(2011) / ICS83-Mount Vernon (ftUS) -89.71,38.12,-88.69,38.83 2 1116 +proj=lcc +lat_1=38.45 +lat_0=38.45 +lon_0=-89.15 +k_0=1.000015 +x_0=99974.5999491999 +y_0=1150012.7000254 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23331 projected NAD83(2011) / ICS83-Olney (ftUS) -88.71,38.23,-87.49,38.92 2 1116 +proj=lcc +lat_1=38.55 +lat_0=38.55 +lon_0=-88.15 +k_0=1.000013 +x_0=380086.36017272 +y_0=1150012.7000254 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23332 projected NAD83(2011) / ICS83-Carbondale (ftUS) -90.21,37.56,-87.91,38.26 2 1116 +proj=lcc +lat_1=37.9 +lat_0=37.9 +lon_0=-88.95 +k_0=1.000012 +x_0=729997.45999492 +y_0=1150012.7000254 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23333 projected NAD83(2011) / ICS83-Metropolis (ftUS) -89.53,36.97,-88.06,37.61 2 1116 +proj=lcc +lat_1=37.2 +lat_0=37.2 +lon_0=-88.9 +k_0=1.00001 +x_0=1110083.82016764 +y_0=1170129.54025908 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +23700 projected HD72 / EOV 16.11,45.74,22.9,48.58 1 6237 +proj=somerc +lat_0=47.1443937222222 +lon_0=19.0485717777778 +k_0=0.99993 +x_0=650000 +y_0=200000 +ellps=GRS67 +towgs84=52.17,-71.82,-14.9 +units=m +no_defs +23830 projected DGN95 / Indonesia TM-3 zone 46.2 95.16,2.55,96,5.97 1 6755 +proj=tmerc +lat_0=0 +lon_0=94.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23831 projected DGN95 / Indonesia TM-3 zone 47.1 96,-1.81,99,5.42 1 6755 +proj=tmerc +lat_0=0 +lon_0=97.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23832 projected DGN95 / Indonesia TM-3 zone 47.2 99,-3.57,102,3.71 1 6755 +proj=tmerc +lat_0=0 +lon_0=100.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23833 projected DGN95 / Indonesia TM-3 zone 48.1 102,-5.99,105,1.68 1 6755 +proj=tmerc +lat_0=0 +lon_0=103.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23834 projected DGN95 / Indonesia TM-3 zone 48.2 105,-7.79,108,4.11 1 6755 +proj=tmerc +lat_0=0 +lon_0=106.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23835 projected DGN95 / Indonesia TM-3 zone 49.1 108,-8.31,111,4.25 1 6755 +proj=tmerc +lat_0=0 +lon_0=109.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23836 projected DGN95 / Indonesia TM-3 zone 49.2 111,-8.67,114,1.59 1 6755 +proj=tmerc +lat_0=0 +lon_0=112.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23837 projected DGN95 / Indonesia TM-3 zone 50.1 114,-9.15,117.01,4.37 1 6755 +proj=tmerc +lat_0=0 +lon_0=115.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23838 projected DGN95 / Indonesia TM-3 zone 50.2 117,-10.15,120,4.36 1 6755 +proj=tmerc +lat_0=0 +lon_0=118.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23839 projected DGN95 / Indonesia TM-3 zone 51.1 120,-10.98,123,1.4 1 6755 +proj=tmerc +lat_0=0 +lon_0=121.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23840 projected DGN95 / Indonesia TM-3 zone 51.2 123,-10.92,126,3.84 1 6755 +proj=tmerc +lat_0=0 +lon_0=124.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23841 projected DGN95 / Indonesia TM-3 zone 52.1 126,-8.32,129,4.59 1 6755 +proj=tmerc +lat_0=0 +lon_0=127.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23842 projected DGN95 / Indonesia TM-3 zone 52.2 129,-8.41,132,0.1 1 6755 +proj=tmerc +lat_0=0 +lon_0=130.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23843 projected DGN95 / Indonesia TM-3 zone 53.1 132,-7.3,135,-0.29 1 6755 +proj=tmerc +lat_0=0 +lon_0=133.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23844 projected DGN95 / Indonesia TM-3 zone 53.2 135,-8.49,138,-0.58 1 6755 +proj=tmerc +lat_0=0 +lon_0=136.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23845 projected DGN95 / Indonesia TM-3 zone 54.1 138,-9.19,141.01,-1.49 1 6755 +proj=tmerc +lat_0=0 +lon_0=139.5 +k=0.9999 +x_0=200000 +y_0=1500000 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23846 projected ID74 / UTM zone 46N 95.16,2.55,96,5.97 3 6238 +proj=utm +zone=46 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23847 projected ID74 / UTM zone 47N 96,0,102,5.42 3 6238 +proj=utm +zone=47 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23848 projected ID74 / UTM zone 48N 102,0,108,4.11 3 6238 +proj=utm +zone=48 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23849 projected ID74 / UTM zone 49N 108,0,114,4.25 3 6238 +proj=utm +zone=49 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23850 projected ID74 / UTM zone 50N 114,0,120,4.37 3 6238 +proj=utm +zone=50 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23851 projected ID74 / UTM zone 51N 120,0,125.71,3.84 3 6238 +proj=utm +zone=51 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23852 projected ID74 / UTM zone 52N 126.55,0,131,4.59 3 6238 +proj=utm +zone=52 +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23866 projected DGN95 / UTM zone 46N 92.01,0,96,7.79 1 6755 +proj=utm +zone=46 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23867 projected DGN95 / UTM zone 47N 96,0,102,7.49 1 6755 +proj=utm +zone=47 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23868 projected DGN95 / UTM zone 48N 102,0,108,6.94 1 6755 +proj=utm +zone=48 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23869 projected DGN95 / UTM zone 49N 108,0,114,7.37 1 6755 +proj=utm +zone=49 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23870 projected DGN95 / UTM zone 50N 114,0,120,4.37 1 6755 +proj=utm +zone=50 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23871 projected DGN95 / UTM zone 51N 120,0,126,5.48 1 6755 +proj=utm +zone=51 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23872 projected DGN95 / UTM zone 52N 126,0,132,6.68 1 6755 +proj=utm +zone=52 +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23877 projected DGN95 / UTM zone 47S 96,-8.86,102,0 1 6755 +proj=utm +zone=47 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23878 projected DGN95 / UTM zone 48S 102,-10.73,108.01,0 1 6755 +proj=utm +zone=48 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23879 projected DGN95 / UTM zone 49S 108,-12.07,114,0 1 6755 +proj=utm +zone=49 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23880 projected DGN95 / UTM zone 50S 114,-13.06,120.01,0 1 6755 +proj=utm +zone=50 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23881 projected DGN95 / UTM zone 51S 120,-13.95,126.01,0.01 1 6755 +proj=utm +zone=51 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23882 projected DGN95 / UTM zone 52S 126,-9.45,132,0 1 6755 +proj=utm +zone=52 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23883 projected DGN95 / UTM zone 53S 132,-10.06,138.01,0 1 6755 +proj=utm +zone=53 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23884 projected DGN95 / UTM zone 54S 138,-10.84,141.46,0 1 6755 +proj=utm +zone=54 +south +ellps=WGS84 +towgs84=0,0,0 +units=m +no_defs +23887 projected ID74 / UTM zone 47S 98.24,-3.57,102,0 3 6238 +proj=utm +zone=47 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23888 projected ID74 / UTM zone 48S 102,-7.79,108,0 3 6238 +proj=utm +zone=48 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23889 projected ID74 / UTM zone 49S 108,-8.67,114,0 3 6238 +proj=utm +zone=49 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23890 projected ID74 / UTM zone 50S 114,-10.15,120,0 3 6238 +proj=utm +zone=50 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23891 projected ID74 / UTM zone 51S 120,-10.98,126,0 3 6238 +proj=utm +zone=51 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23892 projected ID74 / UTM zone 52S 126,-8.41,132,0 3 6238 +proj=utm +zone=52 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23893 projected ID74 / UTM zone 53S 132,-8.49,138,-0.29 3 6238 +proj=utm +zone=53 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23894 projected ID74 / UTM zone 54S 138,-9.19,141.01,-1.49 3 6238 +proj=utm +zone=54 +south +a=6378160 +rf=298.247 +towgs84=-1.977,-13.06,-9.993,0.364,0.254,0.689,-1.037 +units=m +no_defs +23946 projected Indian 1954 / UTM zone 46N 92.2,15.66,96.01,27.14 6239 +proj=utm +zone=46 +ellps=evrst30 +units=m +no_defs +23947 projected Indian 1954 / UTM zone 47N 95.99,5.63,102.01,28.55 21 6239 +proj=utm +zone=47 +ellps=evrst30 +towgs84=217,823,299 +units=m +no_defs +23948 projected Indian 1954 / UTM zone 48N 102,6.02,105.64,18.44 21 6239 +proj=utm +zone=48 +ellps=evrst30 +towgs84=217,823,299 +units=m +no_defs +24047 projected Indian 1975 / UTM zone 47N 97.34,5.63,102.01,20.46 3 6240 +proj=utm +zone=47 +ellps=evrst30 +towgs84=293,836,318,0.5,1.6,-2.8,2.1 +units=m +no_defs +24048 projected Indian 1975 / UTM zone 48N 102,6.02,105.64,18.44 3 6240 +proj=utm +zone=48 +ellps=evrst30 +towgs84=293,836,318,0.5,1.6,-2.8,2.1 +units=m +no_defs +24100 projected Jamaica 1875 / Jamaica (Old Grid) -78.43,17.64,-76.17,18.58 6241 +proj=lcc +lat_1=18 +lat_0=18 +lon_0=-77 +k_0=1 +x_0=167638.49597 +y_0=121918.90616 +a=6378249.14480801 +b=6356514.96620413 +to_meter=0.3047972654 +no_defs +24200 projected JAD69 / Jamaica National Grid -78.43,17.64,-76.17,18.58 1 6242 +proj=lcc +lat_1=18 +lat_0=18 +lon_0=-77 +k_0=1 +x_0=250000 +y_0=150000 +ellps=clrk66 +towgs84=-33.722,153.789,94.959,-8.581,-4.478,4.54,8.95 +units=m +no_defs +24305 projected Kalianpur 1937 / UTM zone 45N 88.01,21.59,90,26.64 18 6144 +proj=utm +zone=45 +ellps=evrst30 +towgs84=282,726,254 +units=m +no_defs +24306 projected Kalianpur 1937 / UTM zone 46N 90,20.52,92.67,25.29 18 6144 +proj=utm +zone=46 +ellps=evrst30 +towgs84=282,726,254 +units=m +no_defs +24311 projected Kalianpur 1962 / UTM zone 41N 60.86,24.98,66.01,29.87 1 6145 +proj=utm +zone=41 +a=6377301.243 +rf=300.8017255 +towgs84=275.57,676.78,229.6 +units=m +no_defs +24312 projected Kalianpur 1962 / UTM zone 42N 66,23.64,72.01,36.56 3 6145 +proj=utm +zone=42 +a=6377301.243 +rf=300.8017255 +towgs84=230.25,632.76,161.03,1.114,-1.115,-1.212,12.584 +units=m +no_defs +24313 projected Kalianpur 1962 / UTM zone 43N 72,28.21,77.83,37.07 6145 +proj=utm +zone=43 +a=6377301.243 +rf=300.8017255 +towgs84=283,682,231 +units=m +no_defs +24342 projected Kalianpur 1975 / UTM zone 42N 68.13,20.64,72.01,28.22 22 6146 +proj=utm +zone=42 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24343 projected Kalianpur 1975 / UTM zone 43N 72,8.02,78.01,35.51 22 6146 +proj=utm +zone=43 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24344 projected Kalianpur 1975 / UTM zone 44N 78,8.29,84.01,35.5 22 6146 +proj=utm +zone=44 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24345 projected Kalianpur 1975 / UTM zone 45N 84,18.18,90.01,28.14 22 6146 +proj=utm +zone=45 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24346 projected Kalianpur 1975 / UTM zone 46N 90,21.94,96.01,29.42 22 6146 +proj=utm +zone=46 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24347 projected Kalianpur 1975 / UTM zone 47N 96,27.1,97.42,29.47 22 6146 +proj=utm +zone=47 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24370 projected Kalianpur 1880 / India zone 0 71.18,35.58,77.01,37.07 6243 +proj=lcc +lat_1=39.5 +lat_0=39.5 +lon_0=68 +k_0=0.99846154 +x_0=2153865.73916853 +y_0=2368292.1946281 +a=6377299.36559538 +b=6356098.35900516 +to_meter=0.914398530744441 +no_defs +24371 projected Kalianpur 1880 / India zone I 60.86,28,81.64,35.59 6243 +proj=lcc +lat_1=32.5 +lat_0=32.5 +lon_0=68 +k_0=0.99878641 +x_0=2743195.59223332 +y_0=914398.530744441 +a=6377299.36559538 +b=6356098.35900516 +to_meter=0.914398530744441 +no_defs +24372 projected Kalianpur 1880 / India zone IIa 61.59,21,82.01,28.01 6243 +proj=lcc +lat_1=26 +lat_0=26 +lon_0=74 +k_0=0.99878641 +x_0=2743195.59223332 +y_0=914398.530744441 +a=6377299.36559538 +b=6356098.35900516 +to_meter=0.914398530744441 +no_defs +24373 projected Kalianpur 1880 / India zone IIIa 70.14,15,87.15,21.01 6243 +proj=lcc +lat_1=19 +lat_0=19 +lon_0=80 +k_0=0.99878641 +x_0=2743195.59223332 +y_0=914398.530744441 +a=6377299.36559538 +b=6356098.35900516 +to_meter=0.914398530744441 +no_defs +24374 projected Kalianpur 1880 / India zone IVa 73.94,8.02,80.4,15.01 6243 +proj=lcc +lat_1=12 +lat_0=12 +lon_0=80 +k_0=0.99878641 +x_0=2743195.59223332 +y_0=914398.530744441 +a=6377299.36559538 +b=6356098.35900516 +to_meter=0.914398530744441 +no_defs +24375 projected Kalianpur 1937 / India zone IIb 88.01,20.52,92.67,26.64 18 6144 +proj=lcc +lat_1=26 +lat_0=26 +lon_0=90 +k_0=0.99878641 +x_0=2743185.69 +y_0=914395.23 +ellps=evrst30 +towgs84=282,726,254 +units=m +no_defs +24376 projected Kalianpur 1962 / India zone I 60.86,28,77.83,35.59 3 6145 +proj=lcc +lat_1=32.5 +lat_0=32.5 +lon_0=68 +k_0=0.99878641 +x_0=2743196.4 +y_0=914398.8 +a=6377301.243 +rf=300.8017255 +towgs84=230.25,632.76,161.03,1.114,-1.115,-1.212,12.584 +units=m +no_defs +24377 projected Kalianpur 1962 / India zone IIa 61.59,23.64,71.91,28.01 3 6145 +proj=lcc +lat_1=26 +lat_0=26 +lon_0=74 +k_0=0.99878641 +x_0=2743196.4 +y_0=914398.8 +a=6377301.243 +rf=300.8017255 +towgs84=230.25,632.76,161.03,1.114,-1.115,-1.212,12.584 +units=m +no_defs +24378 projected Kalianpur 1975 / India zone I 70.35,28,81.64,35.51 22 6146 +proj=lcc +lat_1=32.5 +lat_0=32.5 +lon_0=68 +k_0=0.99878641 +x_0=2743195.5 +y_0=914398.5 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24379 projected Kalianpur 1975 / India zone IIa 68.13,21,82.01,28.01 22 6146 +proj=lcc +lat_1=26 +lat_0=26 +lon_0=74 +k_0=0.99878641 +x_0=2743195.5 +y_0=914398.5 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24380 projected Kalianpur 1975 / India zone IIb 82,21,97.42,29.47 22 6146 +proj=lcc +lat_1=26 +lat_0=26 +lon_0=90 +k_0=0.99878641 +x_0=2743195.5 +y_0=914398.5 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24381 projected Kalianpur 1975 / India zone IIIa 70.14,15,87.15,21.01 22 6146 +proj=lcc +lat_1=19 +lat_0=19 +lon_0=80 +k_0=0.99878641 +x_0=2743195.5 +y_0=914398.5 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24382 projected Kalianpur 1880 / India zone IIb 82,21,101.17,29.47 6243 +proj=lcc +lat_1=26 +lat_0=26 +lon_0=90 +k_0=0.99878641 +x_0=2743195.59223332 +y_0=914398.530744441 +a=6377299.36559538 +b=6356098.35900516 +to_meter=0.914398530744441 +no_defs +24383 projected Kalianpur 1975 / India zone IVa 73.94,8.02,80.4,15.01 22 6146 +proj=lcc +lat_1=12 +lat_0=12 +lon_0=80 +k_0=0.99878641 +x_0=2743195.5 +y_0=914398.5 +a=6377299.151 +rf=300.8017255 +towgs84=295,736,257 +units=m +no_defs +24500 projected Kertau 1968 / Singapore Grid 103.59,1.13,104.07,1.47 15 6245 +proj=cass +lat_0=1.28764666666667 +lon_0=103.853002222222 +x_0=30000 +y_0=30000 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +24547 projected Kertau 1968 / UTM zone 47N 99.59,2.29,102.01,6.72 15 6245 +proj=utm +zone=47 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +24548 projected Kertau 1968 / UTM zone 48N 102,1.21,105.82,7.81 15 6245 +proj=utm +zone=48 +ellps=evrst48 +towgs84=-11,851,5 +units=m +no_defs +24600 projected KOC Lambert 46.54,28.53,48.48,30.09 1 6246 +proj=lcc +lat_1=32.5 +lat_0=32.5 +lon_0=45 +k_0=0.9987864078 +x_0=1500000 +y_0=1166200 +a=6378249.145 +rf=293.465 +towgs84=-294.7,-200.1,525.5 +units=m +no_defs +24718 projected La Canoa / UTM zone 18N -73.38,7.02,-71.99,11.62 6247 +proj=utm +zone=18 +ellps=intl +units=m +no_defs +24719 projected La Canoa / UTM zone 19N -72,0.73,-66,12.25 2.5 6247 +proj=utm +zone=19 +ellps=intl +towgs84=-273.5,110.6,-357.9 +units=m +no_defs +24720 projected La Canoa / UTM zone 20N -66,0.64,-59.8,11.23 2.5 6247 +proj=utm +zone=20 +ellps=intl +towgs84=-273.5,110.6,-357.9 +units=m +no_defs +24817 projected PSAD56 / UTM zone 17N -80.18,0,-78,1.45 5 6248 +proj=utm +zone=17 +ellps=intl +towgs84=-60.31,245.935,31.008,12.324,3.755,-7.37,0.447 +units=m +no_defs +24818 projected PSAD56 / UTM zone 18N -78,0,-71.99,11.62 26 6248 +proj=utm +zone=18 +ellps=intl +towgs84=-282,169,-371 +units=m +no_defs +24819 projected PSAD56 / UTM zone 19N -72,0.73,-66,12.68 23 6248 +proj=utm +zone=19 +ellps=intl +towgs84=-295,173,-371 +units=m +no_defs +24820 projected PSAD56 / UTM zone 20N -66,0.64,-59.99,11.23 23 6248 +proj=utm +zone=20 +ellps=intl +towgs84=-295,173,-371 +units=m +no_defs +24821 projected PSAD56 / UTM zone 21N -60,1.18,-56.47,8.58 17 6248 +proj=utm +zone=21 +ellps=intl +towgs84=-298,159,-369 +units=m +no_defs +24877 projected PSAD56 / UTM zone 17S -81.41,-10.53,-78,0 42 6248 +proj=utm +zone=17 +south +ellps=intl +towgs84=-288,175,-376 +units=m +no_defs +24878 projected PSAD56 / UTM zone 18S -78,-43.5,-71.99,0 42 6248 +proj=utm +zone=18 +south +ellps=intl +towgs84=-288,175,-376 +units=m +no_defs +24879 projected PSAD56 / UTM zone 19S -72,-43.5,-66,-2.14 42 6248 +proj=utm +zone=19 +south +ellps=intl +towgs84=-288,175,-376 +units=m +no_defs +24880 projected PSAD56 / UTM zone 20S -66,-22.87,-60,-9.67 19 6248 +proj=utm +zone=20 +south +ellps=intl +towgs84=-270,188,-388 +units=m +no_defs +24881 projected PSAD56 / UTM zone 21S -60,-20.17,-57.52,-16.27 19 6248 +proj=utm +zone=21 +south +ellps=intl +towgs84=-270,188,-388 +units=m +no_defs +24882 projected PSAD56 / UTM zone 22S -51.64,-1.05,-48,5.6 10 6248 +proj=utm +zone=22 +south +ellps=intl +towgs84=-291.87,106.37,-364.52 +units=m +no_defs +24891 projected PSAD56 / Peru west zone -81.41,-8.32,-79,-3.38 16 6248 +proj=tmerc +lat_0=-6 +lon_0=-80.5 +k=0.99983008 +x_0=222000 +y_0=1426834.743 +ellps=intl +towgs84=-279,175,-379 +units=m +no_defs +24892 projected PSAD56 / Peru central zone -79,-16.57,-73,-0.03 16 6248 +proj=tmerc +lat_0=-9.5 +lon_0=-76 +k=0.99932994 +x_0=720000 +y_0=1039979.159 +ellps=intl +towgs84=-279,175,-379 +units=m +no_defs +24893 projected PSAD56 / Peru east zone -73,-18.39,-68.67,-2.14 42 6248 +proj=tmerc +lat_0=-9.5 +lon_0=-70.5 +k=0.99952992 +x_0=1324000 +y_0=1040084.558 +ellps=intl +towgs84=-288,175,-376 +units=m +no_defs +25000 projected Leigon / Ghana Metre Grid -3.79,1.4,2.1,11.16 5 6250 +proj=tmerc +lat_0=4.66666666666667 +lon_0=-1 +k=0.99975 +x_0=274319.51 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-130,29,364 +units=m +no_defs +25231 projected Lome / UTM zone 31N -0.15,2.91,2.42,11.14 6252 +proj=utm +zone=31 +ellps=clrk80ign +units=m +no_defs +25391 projected Luzon 1911 / Philippines zone I 116.89,7.75,118,9.32 17 6253 +proj=tmerc +lat_0=0 +lon_0=117 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-133,-77,-51 +units=m +no_defs +25392 projected Luzon 1911 / Philippines zone II 118,8.82,120.07,11.58 17 6253 +proj=tmerc +lat_0=0 +lon_0=119 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-133,-77,-51 +units=m +no_defs +25393 projected Luzon 1911 / Philippines zone III 119.7,4.99,122.21,19.45 17 6253 +proj=tmerc +lat_0=0 +lon_0=121 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-133,-77,-51 +units=m +no_defs +25394 projected Luzon 1911 / Philippines zone IV 121.74,6.35,124.29,18.58 17 6253 +proj=tmerc +lat_0=0 +lon_0=123 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-133,-77,-51 +units=m +no_defs +25395 projected Luzon 1911 / Philippines zone V 123.73,5.5,126.65,14.15 44 6253 +proj=tmerc +lat_0=0 +lon_0=125 +k=0.99995 +x_0=500000 +y_0=0 +ellps=clrk66 +towgs84=-133,-79,-72 +units=m +no_defs +25828 projected ETRS89 / UTM zone 28N -16.1,34.93,-11.99,72.44 1 6258 +proj=utm +zone=28 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25829 projected ETRS89 / UTM zone 29N -12,34.91,-6,74.13 1 6258 +proj=utm +zone=29 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25830 projected ETRS89 / UTM zone 30N -6,35.26,0.01,80.49 1 6258 +proj=utm +zone=30 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25831 projected ETRS89 / UTM zone 31N 0,37,6.01,82.45 1 6258 +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25832 projected ETRS89 / UTM zone 32N 6,36.53,12.01,84.01 1 6258 +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25833 projected ETRS89 / UTM zone 33N 12,34.79,18.01,84.01 1 6258 +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25834 projected ETRS89 / UTM zone 34N 18,34.76,24.01,84.01 1 6258 +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25835 projected ETRS89 / UTM zone 35N 24,41.24,30.01,84.01 1 6258 +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25836 projected ETRS89 / UTM zone 36N 30,42.56,36.01,84.01 1 6258 +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25837 projected ETRS89 / UTM zone 37N 36,72.99,38.01,79.07 1 6258 +proj=utm +zone=37 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25884 projected ETRS89 / TM Baltic93 19.02,53.89,28.24,60 1 6258 +proj=tmerc +lat_0=0 +lon_0=24 +k=0.9996 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25932 projected Malongo 1987 / UTM zone 32S 10.53,-6.04,12.37,-5.05 5 6259 +proj=utm +zone=32 +south +ellps=intl +towgs84=-254.1,-5.36,-100.29 +units=m +no_defs +26191 projected Merchich / Nord Maroc -9.85,31.49,-1.01,35.97 7 6261 +proj=lcc +lat_1=33.3 +lat_0=33.3 +lon_0=-5.4 +k_0=0.999625769 +x_0=500000 +y_0=300000 +ellps=clrk80ign +towgs84=31,146,47 +units=m +no_defs +26192 projected Merchich / Sud Maroc -13.24,27.66,-3.59,31.51 7 6261 +proj=lcc +lat_1=29.7 +lat_0=29.7 +lon_0=-5.4 +k_0=0.999615596 +x_0=500000 +y_0=300000 +ellps=clrk80ign +towgs84=31,146,47 +units=m +no_defs +26194 projected Merchich / Sahara Nord -15.42,24.29,-8.66,27.67 7 6261 +proj=lcc +lat_1=26.1 +lat_0=26.1 +lon_0=-5.4 +k_0=0.999616304 +x_0=1200000 +y_0=400000 +ellps=clrk80ign +towgs84=31,146,47 +units=m +no_defs +26195 projected Merchich / Sahara Sud -17.16,20.71,-12,24.31 6261 +proj=lcc +lat_1=22.5 +lat_0=22.5 +lon_0=-5.4 +k_0=0.999616437 +x_0=1500000 +y_0=400000 +ellps=clrk80ign +units=m +no_defs +26237 projected Massawa / UTM zone 37N 36.44,12.36,43.31,18.1 44 6262 +proj=utm +zone=37 +ellps=bessel +towgs84=639,405,60 +units=m +no_defs +26331 projected Minna / UTM zone 31N 2.66,1.92,6,6.14 7 6263 +proj=utm +zone=31 +a=6378249.145 +rf=293.465 +towgs84=-93.6,-83.7,113.8 +units=m +no_defs +26332 projected Minna / UTM zone 32N 6,2.61,7.82,3.68 7 6263 +proj=utm +zone=32 +a=6378249.145 +rf=293.465 +towgs84=-93.6,-83.7,113.8 +units=m +no_defs +26391 projected Minna / Nigeria West Belt 2.69,3.57,6.5,13.9 15 6263 +proj=tmerc +lat_0=4 +lon_0=4.5 +k=0.99975 +x_0=230738.26 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-92,-93,122 +units=m +no_defs +26392 projected Minna / Nigeria Mid Belt 6.5,3.57,10.51,13.53 15 6263 +proj=tmerc +lat_0=4 +lon_0=8.5 +k=0.99975 +x_0=670553.98 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-92,-93,122 +units=m +no_defs +26393 projected Minna / Nigeria East Belt 10.49,6.43,14.65,13.72 15 6263 +proj=tmerc +lat_0=4 +lon_0=12.5 +k=0.99975 +x_0=1110369.7 +y_0=0 +a=6378249.145 +rf=293.465 +towgs84=-92,-93,122 +units=m +no_defs +26632 projected M'poraloko / UTM zone 32N 9.25,0,12,2.32 0.5 6266 +proj=utm +zone=32 +ellps=clrk80ign +towgs84=-80.7,-132.5,41.1 +units=m +no_defs +26692 projected M'poraloko / UTM zone 32S 7.03,-6.37,12.01,2.32 0.5 6266 +proj=utm +zone=32 +south +ellps=clrk80ign +towgs84=-80.7,-132.5,41.1 +units=m +no_defs +26701 projected NAD27 / UTM zone 1N -180,47.88,-173.99,63.21 15 6267 +proj=utm +zone=1 +ellps=clrk66 +towgs84=-2,152,149 +units=m +no_defs +26702 projected NAD27 / UTM zone 2N -174,48.66,-167.99,73.05 15 6267 +proj=utm +zone=2 +ellps=clrk66 +towgs84=-2,152,149 +units=m +no_defs +26703 projected NAD27 / UTM zone 3N -168,49.52,-161.99,74.29 12 6267 +proj=utm +zone=3 +ellps=clrk66 +towgs84=-5,135,172 +units=m +no_defs +26704 projected NAD27 / UTM zone 4N -162,50.98,-155.99,74.71 12 6267 +proj=utm +zone=4 +ellps=clrk66 +towgs84=-5,135,172 +units=m +no_defs +26705 projected NAD27 / UTM zone 5N -156,52.15,-149.99,74.71 12 6267 +proj=utm +zone=5 +ellps=clrk66 +towgs84=-5,135,172 +units=m +no_defs +26706 projected NAD27 / UTM zone 6N -150,54.05,-143.99,74.13 12 6267 +proj=utm +zone=6 +ellps=clrk66 +towgs84=-5,135,172 +units=m +no_defs +26707 projected NAD27 / UTM zone 7N -144,53.47,-138,73.59 12 6267 +proj=utm +zone=7 +ellps=clrk66 +towgs84=-5,135,172 +units=m +no_defs +26708 projected NAD27 / UTM zone 8N -138,52.58,-132,73.04 20 6267 +proj=utm +zone=8 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26709 projected NAD27 / UTM zone 9N -132,49.18,-126,72.03 8 6267 +proj=utm +zone=9 +ellps=clrk66 +towgs84=4,159,188 +units=m +no_defs +26710 projected NAD27 / UTM zone 10N -126,34.4,-119.99,77.13 20 6267 +proj=utm +zone=10 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26711 projected NAD27 / UTM zone 11N -120,26.93,-114,78.13 20 6267 +proj=utm +zone=11 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26712 projected NAD27 / UTM zone 12N -114,18.66,-108,78.81 10 6267 +proj=utm +zone=12 +ellps=clrk66 +towgs84=-8,160,176 +units=m +no_defs +26713 projected NAD27 / UTM zone 13N -108,17.86,-102,79.42 10 6267 +proj=utm +zone=13 +ellps=clrk66 +towgs84=-8,160,176 +units=m +no_defs +26714 projected NAD27 / UTM zone 14N -102,15.59,-96,80.74 10 6267 +proj=utm +zone=14 +ellps=clrk66 +towgs84=-8,160,176 +units=m +no_defs +26715 projected NAD27 / UTM zone 15N -96,13.63,-90,81.96 20 6267 +proj=utm +zone=15 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26716 projected NAD27 / UTM zone 16N -90.01,9.27,-84,82.54 20 6267 +proj=utm +zone=16 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26717 projected NAD27 / UTM zone 17N -84,7.98,-78,83.03 20 6267 +proj=utm +zone=17 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26718 projected NAD27 / UTM zone 18N -78,18.83,-72,83.16 20 6267 +proj=utm +zone=18 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26719 projected NAD27 / UTM zone 19N -72,33.61,-66,83.17 20 6267 +proj=utm +zone=19 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26720 projected NAD27 / UTM zone 20N -66,38.21,-59.99,82.97 20 6267 +proj=utm +zone=20 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26721 projected NAD27 / UTM zone 21N -60,40.57,-54,68.93 20 6267 +proj=utm +zone=21 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26722 projected NAD27 / UTM zone 22N -54,39.5,-47.99,57.65 20 6267 +proj=utm +zone=22 +ellps=clrk66 +towgs84=-10,158,187 +units=m +no_defs +26729 projected NAD27 / Alabama East -86.79,30.99,-84.89,35 10 6267 +proj=tmerc +lat_0=30.5 +lon_0=-85.8333333333333 +k=0.99996 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26730 projected NAD27 / Alabama West -88.48,30.14,-86.3,35.02 10 6267 +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26731 projected NAD27 / Alaska zone 1 -141,54.61,-129.99,60.35 12 6267 +proj=omerc +no_uoff +lat_0=57 +lonc=-133.666666666667 +alpha=323.130102361111 +gamma=323.130102361111 +k=0.9999 +x_0=5000000.001016 +y_0=-5000000.001016 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26732 projected NAD27 / Alaska zone 2 -144.01,59.72,-140.98,70.16 12 6267 +proj=tmerc +lat_0=54 +lon_0=-142 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26733 projected NAD27 / Alaska zone 3 -148,59.72,-144,70.38 12 6267 +proj=tmerc +lat_0=54 +lon_0=-146 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26734 projected NAD27 / Alaska zone 4 -152.01,59.11,-147.99,70.63 12 6267 +proj=tmerc +lat_0=54 +lon_0=-150 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26735 projected NAD27 / Alaska zone 5 -156,55.72,-151.86,71.28 12 6267 +proj=tmerc +lat_0=54 +lon_0=-154 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26736 projected NAD27 / Alaska zone 6 -160,54.89,-155.99,71.4 12 6267 +proj=tmerc +lat_0=54 +lon_0=-158 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26737 projected NAD27 / Alaska zone 7 -164.01,54.32,-160,70.74 12 6267 +proj=tmerc +lat_0=54 +lon_0=-162 +k=0.9999 +x_0=213360.426720853 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26738 projected NAD27 / Alaska zone 8 -168.26,54.34,-164,69.05 12 6267 +proj=tmerc +lat_0=54 +lon_0=-166 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26739 projected NAD27 / Alaska zone 9 -173.16,56.49,-168,65.82 12 6267 +proj=tmerc +lat_0=54 +lon_0=-170 +k=0.9999 +x_0=182880.365760732 +y_0=0 +ellps=clrk66 +towgs84=-5,135,172 +to_meter=0.304800609601219 +no_defs +26740 projected NAD27 / Alaska zone 10 172.42,51.3,-164.84,54.34 15 6267 +proj=lcc +lat_0=51 +lon_0=-176 +lat_1=53.8333333333333 +lat_2=51.8333333333333 +x_0=914401.828803658 +y_0=0 +ellps=clrk66 +towgs84=-2,152,149 +to_meter=0.304800609601219 +no_defs +26741 projected NAD27 / California zone I -124.45,39.59,-119.99,42.01 7 6267 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26742 projected NAD27 / California zone II -124.06,38.02,-119.54,40.16 7 6267 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26743 projected NAD27 / California zone III -123.02,36.73,-117.83,38.71 7 6267 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26744 projected NAD27 / California zone IV -122.01,35.78,-115.62,37.58 7 6267 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26745 projected NAD27 / California zone V -121.43,32.76,-114.12,35.81 7 6267 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26746 projected NAD27 / California zone VI -118.15,32.53,-114.42,34.08 7 6267 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26748 projected NAD27 / Arizona East -111.71,31.33,-109.04,37.01 7 6267 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26749 projected NAD27 / Arizona Central -113.35,31.33,-110.44,37.01 7 6267 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26750 projected NAD27 / Arizona West -114.81,32.05,-112.52,37 7 6267 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26751 projected NAD27 / Arkansas North -94.62,34.67,-89.64,36.5 7 6267 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26752 projected NAD27 / Arkansas South -94.48,33.01,-90.4,35.1 7 6267 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26753 projected NAD27 / Colorado North -109.06,39.56,-102.04,41.01 7 6267 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=39.7166666666667 +lat_2=40.7833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26754 projected NAD27 / Colorado Central -109.06,38.14,-102.04,40.09 7 6267 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26755 projected NAD27 / Colorado South -109.06,36.98,-102.04,38.68 7 6267 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26756 projected NAD27 / Connecticut -73.73,40.98,-71.78,42.05 10 6267 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=182880.365760732 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26757 projected NAD27 / Delaware -75.8,38.44,-74.97,39.85 10 6267 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26758 projected NAD27 / Florida East -82.33,24.41,-79.97,30.83 10 6267 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26759 projected NAD27 / Florida West -83.34,26.27,-81.13,29.6 10 6267 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26760 projected NAD27 / Florida North -87.63,29.21,-82.04,31.01 10 6267 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26766 projected NAD27 / Georgia East -83.47,30.36,-80.77,34.68 10 6267 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26767 projected NAD27 / Georgia West -85.61,30.62,-82.99,35.01 10 6267 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26768 projected NAD27 / Idaho East -113.24,41.99,-111.04,44.75 7 6267 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26769 projected NAD27 / Idaho Central -115.3,41.99,-112.67,45.7 7 6267 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26770 projected NAD27 / Idaho West -117.24,41.99,-114.32,49.01 7 6267 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26771 projected NAD27 / Illinois East -89.27,37.06,-87.02,42.5 10 6267 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26772 projected NAD27 / Illinois West -91.52,36.97,-88.92,42.51 10 6267 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26773 projected NAD27 / Indiana East -86.59,37.95,-84.78,41.77 10 6267 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26774 projected NAD27 / Indiana West -88.1,37.77,-86.24,41.77 10 6267 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26775 projected NAD27 / Iowa North -96.65,41.85,-90.15,43.51 7 6267 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26776 projected NAD27 / Iowa South -96.14,40.36,-90.14,42.04 7 6267 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26777 projected NAD27 / Kansas North -102.06,38.52,-94.58,40.01 7 6267 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26778 projected NAD27 / Kansas South -102.05,36.99,-94.6,38.88 7 6267 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26779 projected NAD27 / Kentucky North -85.96,37.71,-82.47,39.15 10 6267 +proj=lcc +lat_0=37.5 +lon_0=-84.25 +lat_1=37.9666666666667 +lat_2=38.9666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26780 projected NAD27 / Kentucky South -89.57,36.49,-81.95,38.17 10 6267 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=36.7333333333333 +lat_2=37.9333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26781 projected NAD27 / Louisiana North -94.05,30.85,-90.86,33.03 7 6267 +proj=lcc +lat_0=30.6666666666667 +lon_0=-92.5 +lat_1=31.1666666666667 +lat_2=32.6666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26782 projected NAD27 / Louisiana South -93.94,27.82,-87.76,31.07 10 6267 +proj=lcc +lat_0=28.6666666666667 +lon_0=-91.3333333333333 +lat_1=29.3 +lat_2=30.7 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26783 projected NAD27 / Maine East -70.03,43.88,-66.91,47.47 9 6267 +proj=tmerc +lat_0=43.8333333333333 +lon_0=-68.5 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +to_meter=0.304800609601219 +no_defs +26784 projected NAD27 / Maine West -71.09,43.04,-69.26,46.58 10 6267 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26785 projected NAD27 / Maryland -79.49,37.97,-74.97,39.73 10 6267 +proj=lcc +lat_0=37.8333333333333 +lon_0=-77 +lat_1=38.3 +lat_2=39.45 +x_0=243840.487680975 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26786 projected NAD27 / Massachusetts Mainland -73.5,41.46,-69.86,42.89 10 6267 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=41.7166666666667 +lat_2=42.6833333333333 +x_0=182880.365760732 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26787 projected NAD27 / Massachusetts Island -70.91,41.19,-69.89,41.51 10 6267 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.2833333333333 +lat_2=41.4833333333333 +x_0=60960.1219202439 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26791 projected NAD27 / Minnesota North -97.22,46.64,-89.49,49.38 10 6267 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=47.0333333333333 +lat_2=48.6333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26792 projected NAD27 / Minnesota Central -96.86,45.28,-92.29,47.48 7 6267 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=45.6166666666667 +lat_2=47.05 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26793 projected NAD27 / Minnesota South -96.85,43.49,-91.21,45.59 7 6267 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=43.7833333333333 +lat_2=45.2166666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26794 projected NAD27 / Mississippi East -89.97,30.01,-88.09,35.01 10 6267 +proj=tmerc +lat_0=29.6666666666667 +lon_0=-88.8333333333333 +k=0.99996 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26795 projected NAD27 / Mississippi West -91.65,31,-89.37,35.01 10 6267 +proj=tmerc +lat_0=30.5 +lon_0=-90.3333333333333 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26796 projected NAD27 / Missouri East -91.97,35.98,-89.1,40.61 10 6267 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-90.5 +k=0.999933333 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +26797 projected NAD27 / Missouri Central -93.79,36.48,-91.41,40.61 7 6267 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-92.5 +k=0.999933333 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26798 projected NAD27 / Missouri West -95.77,36.48,-93.48,40.59 7 6267 +proj=tmerc +lat_0=36.1666666666667 +lon_0=-94.5 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26799 projected NAD27 / California zone VII -118.96,33.66,-117.63,34.83 7 6267 +proj=lcc +lat_0=34.1333333333333 +lon_0=-118.333333333333 +lat_1=34.4166666666667 +lat_2=33.8666666666667 +x_0=1276106.4505969 +y_0=1268253.00685801 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +26847 projected NAD83 / Maine East (ftUS) -70.03,43.88,-66.91,47.47 4 6269 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26848 projected NAD83 / Maine West (ftUS) -71.09,43.04,-69.26,46.58 4 6269 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26849 projected NAD83 / Minnesota North (ftUS) -97.22,46.64,-89.49,49.38 4 6269 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26850 projected NAD83 / Minnesota Central (ftUS) -96.86,45.28,-92.29,47.48 4 6269 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26851 projected NAD83 / Minnesota South (ftUS) -96.85,43.49,-91.21,45.59 4 6269 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26852 projected NAD83 / Nebraska (ftUS) -104.06,39.99,-95.3,43.01 4 6269 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26853 projected NAD83 / West Virginia North (ftUS) -81.76,38.76,-77.72,40.64 4 6269 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26854 projected NAD83 / West Virginia South (ftUS) -82.65,37.2,-79.05,39.17 4 6269 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26855 projected NAD83(HARN) / Maine East (ftUS) -70.03,43.88,-66.91,47.47 1 6152 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26856 projected NAD83(HARN) / Maine West (ftUS) -71.09,43.04,-69.26,46.58 1 6152 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26857 projected NAD83(HARN) / Minnesota North (ftUS) -97.22,46.64,-89.49,49.38 1 6152 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26858 projected NAD83(HARN) / Minnesota Central (ftUS) -96.86,45.28,-92.29,47.48 1 6152 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26859 projected NAD83(HARN) / Minnesota South (ftUS) -96.85,43.49,-91.21,45.59 1 6152 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26860 projected NAD83(HARN) / Nebraska (ftUS) -104.06,39.99,-95.3,43.01 1 6152 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26861 projected NAD83(HARN) / West Virginia North (ftUS) -81.76,38.76,-77.72,40.64 1 6152 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26862 projected NAD83(HARN) / West Virginia South (ftUS) -82.65,37.2,-79.05,39.17 1 6152 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +to_meter=0.304800609601219 +no_defs +26863 projected NAD83(NSRS2007) / Maine East (ftUS) -70.03,43.88,-66.91,47.47 2 6759 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26864 projected NAD83(NSRS2007) / Maine West (ftUS) -71.09,43.04,-69.26,46.58 2 6759 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26865 projected NAD83(NSRS2007) / Minnesota North (ftUS) -97.22,46.64,-89.49,49.38 2 6759 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26866 projected NAD83(NSRS2007) / Minnesota Central (ftUS) -96.86,45.28,-92.29,47.48 2 6759 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26867 projected NAD83(NSRS2007) / Minnesota South (ftUS) -96.85,43.49,-91.21,45.59 2 6759 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000.00001016 +y_0=99999.99998984 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26868 projected NAD83(NSRS2007) / Nebraska (ftUS) -104.06,39.99,-95.3,43.01 2 6759 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26869 projected NAD83(NSRS2007) / West Virginia North (ftUS) -81.76,38.76,-77.72,40.64 2 6759 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26870 projected NAD83(NSRS2007) / West Virginia South (ftUS) -82.65,37.2,-79.05,39.17 2 6759 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +26891 projected NAD83(CSRS) / MTM zone 11 -83.6,41.67,-81,46 1 6140 +proj=tmerc +lat_0=0 +lon_0=-82.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26892 projected NAD83(CSRS) / MTM zone 12 -82.5,46,-79.5,55.21 1 6140 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26893 projected NAD83(CSRS) / MTM zone 13 -85.5,46,-82.5,55.59 1 6140 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26894 projected NAD83(CSRS) / MTM zone 14 -88.5,47.17,-85.5,56.7 1 6140 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26895 projected NAD83(CSRS) / MTM zone 15 -91.5,47.97,-88.5,56.9 1 6140 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26896 projected NAD83(CSRS) / MTM zone 16 -94.5,48.06,-91.5,55.2 1 6140 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26897 projected NAD83(CSRS) / MTM zone 17 -95.16,48.69,-94.5,53.24 1 6140 +proj=tmerc +lat_0=0 +lon_0=-96 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26898 projected NAD83(CSRS) / MTM zone 1 -54.5,46.56,-52.54,49.89 1 6140 +proj=tmerc +lat_0=0 +lon_0=-53 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26899 projected NAD83(CSRS) / MTM zone 2 -57.5,46.81,-54.49,54.71 1 6140 +proj=tmerc +lat_0=0 +lon_0=-56 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=-0.991,1.9072,0.5129,0.0257899075194932,0.0096500989602704,0.0116599432323421,0 +units=m +no_defs +26901 projected NAD83 / UTM zone 1N -180,47.88,-173.99,63.21 8 6269 +proj=utm +zone=1 +ellps=GRS80 +towgs84=-2,0,4 +units=m +no_defs +26902 projected NAD83 / UTM zone 2N -174,48.66,-167.99,73.05 4 6269 +proj=utm +zone=2 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26903 projected NAD83 / UTM zone 3N -168,49.52,-161.99,74.29 4 6269 +proj=utm +zone=3 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26904 projected NAD83 / UTM zone 4N -162,15.57,-155.99,74.71 4 6269 +proj=utm +zone=4 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26905 projected NAD83 / UTM zone 5N -156,15.56,-149.99,74.71 4 6269 +proj=utm +zone=5 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26906 projected NAD83 / UTM zone 6N -150,54.05,-143.99,74.13 4 6269 +proj=utm +zone=6 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26907 projected NAD83 / UTM zone 7N -144,52.05,-137.99,73.59 4 6269 +proj=utm +zone=7 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26908 projected NAD83 / UTM zone 8N -138,48.06,-132,79.42 4 6269 +proj=utm +zone=8 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26909 projected NAD83 / UTM zone 9N -132,35.38,-126,80.93 4 6269 +proj=utm +zone=9 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26910 projected NAD83 / UTM zone 10N -126,30.54,-119.99,81.8 4 6269 +proj=utm +zone=10 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26911 projected NAD83 / UTM zone 11N -120,30.88,-114,83.5 4 6269 +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26912 projected NAD83 / UTM zone 12N -114,31.33,-108,84 4 6269 +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26913 projected NAD83 / UTM zone 13N -108,28.98,-102,84 4 6269 +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26914 projected NAD83 / UTM zone 14N -102,25.83,-96,84 4 6269 +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26915 projected NAD83 / UTM zone 15N -96,25.61,-90,84 4 6269 +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26916 projected NAD83 / UTM zone 16N -90,23.97,-84,84 4 6269 +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26917 projected NAD83 / UTM zone 17N -84,23.81,-78,84 4 6269 +proj=utm +zone=17 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26918 projected NAD83 / UTM zone 18N -78,28.28,-72,84 4 6269 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26919 projected NAD83 / UTM zone 19N -72,14.92,-66,84 4 6269 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26920 projected NAD83 / UTM zone 20N -66,15.63,-60,84 4 6269 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26921 projected NAD83 / UTM zone 21N -60,38.56,-54,84 4 6269 +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26922 projected NAD83 / UTM zone 22N -54,39.5,-47.99,57.65 4 6269 +proj=utm +zone=22 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26923 projected NAD83 / UTM zone 23N -48,39.85,-42,54.47 4 6269 +proj=utm +zone=23 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26929 projected NAD83 / Alabama East -86.79,30.99,-84.89,35 4 6269 +proj=tmerc +lat_0=30.5 +lon_0=-85.8333333333333 +k=0.99996 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26930 projected NAD83 / Alabama West -88.48,30.14,-86.3,35.02 4 6269 +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26931 projected NAD83 / Alaska zone 1 -141,54.61,-129.99,60.35 4 6269 +proj=omerc +no_uoff +lat_0=57 +lonc=-133.666666666667 +alpha=323.130102361111 +gamma=323.130102361111 +k=0.9999 +x_0=5000000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26932 projected NAD83 / Alaska zone 2 -144.01,59.72,-140.98,70.16 4 6269 +proj=tmerc +lat_0=54 +lon_0=-142 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26933 projected NAD83 / Alaska zone 3 -148,59.72,-144,70.38 4 6269 +proj=tmerc +lat_0=54 +lon_0=-146 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26934 projected NAD83 / Alaska zone 4 -152.01,59.11,-147.99,70.63 4 6269 +proj=tmerc +lat_0=54 +lon_0=-150 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26935 projected NAD83 / Alaska zone 5 -156,55.72,-151.86,71.28 4 6269 +proj=tmerc +lat_0=54 +lon_0=-154 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26936 projected NAD83 / Alaska zone 6 -160,54.89,-155.99,71.4 4 6269 +proj=tmerc +lat_0=54 +lon_0=-158 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26937 projected NAD83 / Alaska zone 7 -164.01,54.32,-160,70.74 4 6269 +proj=tmerc +lat_0=54 +lon_0=-162 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26938 projected NAD83 / Alaska zone 8 -168.26,54.34,-164,69.05 4 6269 +proj=tmerc +lat_0=54 +lon_0=-166 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26939 projected NAD83 / Alaska zone 9 -173.16,56.49,-168,65.82 4 6269 +proj=tmerc +lat_0=54 +lon_0=-170 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26940 projected NAD83 / Alaska zone 10 172.42,51.3,-164.84,54.34 8 6269 +proj=lcc +lat_0=51 +lon_0=-176 +lat_1=53.8333333333333 +lat_2=51.8333333333333 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=-2,0,4 +units=m +no_defs +26941 projected NAD83 / California zone 1 -124.45,39.59,-119.99,42.01 4 6269 +proj=lcc +lat_0=39.3333333333333 +lon_0=-122 +lat_1=41.6666666666667 +lat_2=40 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26942 projected NAD83 / California zone 2 -124.06,38.02,-119.54,40.16 4 6269 +proj=lcc +lat_0=37.6666666666667 +lon_0=-122 +lat_1=39.8333333333333 +lat_2=38.3333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26943 projected NAD83 / California zone 3 -123.02,36.73,-117.83,38.71 4 6269 +proj=lcc +lat_0=36.5 +lon_0=-120.5 +lat_1=38.4333333333333 +lat_2=37.0666666666667 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26944 projected NAD83 / California zone 4 -122.01,35.78,-115.62,37.58 4 6269 +proj=lcc +lat_0=35.3333333333333 +lon_0=-119 +lat_1=37.25 +lat_2=36 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26945 projected NAD83 / California zone 5 -121.42,32.76,-114.12,35.81 4 6269 +proj=lcc +lat_0=33.5 +lon_0=-118 +lat_1=35.4666666666667 +lat_2=34.0333333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26946 projected NAD83 / California zone 6 -118.15,32.53,-114.42,34.08 4 6269 +proj=lcc +lat_0=32.1666666666667 +lon_0=-116.25 +lat_1=33.8833333333333 +lat_2=32.7833333333333 +x_0=2000000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26948 projected NAD83 / Arizona East -111.71,31.33,-109.04,37.01 4 6269 +proj=tmerc +lat_0=31 +lon_0=-110.166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26949 projected NAD83 / Arizona Central -113.35,31.33,-110.44,37.01 4 6269 +proj=tmerc +lat_0=31 +lon_0=-111.916666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26950 projected NAD83 / Arizona West -114.81,32.05,-112.52,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26951 projected NAD83 / Arkansas North -94.62,34.67,-89.64,36.5 4 6269 +proj=lcc +lat_0=34.3333333333333 +lon_0=-92 +lat_1=36.2333333333333 +lat_2=34.9333333333333 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26952 projected NAD83 / Arkansas South -94.48,33.01,-90.4,35.1 4 6269 +proj=lcc +lat_0=32.6666666666667 +lon_0=-92 +lat_1=34.7666666666667 +lat_2=33.3 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26953 projected NAD83 / Colorado North -109.06,39.56,-102.04,41.01 4 6269 +proj=lcc +lat_0=39.3333333333333 +lon_0=-105.5 +lat_1=40.7833333333333 +lat_2=39.7166666666667 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26954 projected NAD83 / Colorado Central -109.06,38.14,-102.04,40.09 4 6269 +proj=lcc +lat_0=37.8333333333333 +lon_0=-105.5 +lat_1=39.75 +lat_2=38.45 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26955 projected NAD83 / Colorado South -109.06,36.98,-102.04,38.68 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-105.5 +lat_1=38.4333333333333 +lat_2=37.2333333333333 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26956 projected NAD83 / Connecticut -73.73,40.98,-71.78,42.05 4 6269 +proj=lcc +lat_0=40.8333333333333 +lon_0=-72.75 +lat_1=41.8666666666667 +lat_2=41.2 +x_0=304800.6096 +y_0=152400.3048 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26957 projected NAD83 / Delaware -75.8,38.44,-74.97,39.85 4 6269 +proj=tmerc +lat_0=38 +lon_0=-75.4166666666667 +k=0.999995 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26958 projected NAD83 / Florida East -82.33,24.41,-79.97,30.83 4 6269 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26959 projected NAD83 / Florida West -83.34,26.27,-81.13,29.6 4 6269 +proj=tmerc +lat_0=24.3333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26960 projected NAD83 / Florida North -87.63,29.21,-82.04,31.01 4 6269 +proj=lcc +lat_0=29 +lon_0=-84.5 +lat_1=30.75 +lat_2=29.5833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26961 projected NAD83 / Hawaii zone 1 -156.1,18.87,-154.74,20.33 4 6269 +proj=tmerc +lat_0=18.8333333333333 +lon_0=-155.5 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=1,1,-1 +units=m +no_defs +26962 projected NAD83 / Hawaii zone 2 -157.36,20.45,-155.93,21.26 4 6269 +proj=tmerc +lat_0=20.3333333333333 +lon_0=-156.666666666667 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=1,1,-1 +units=m +no_defs +26963 projected NAD83 / Hawaii zone 3 -158.33,21.2,-157.61,21.75 4 6269 +proj=tmerc +lat_0=21.1666666666667 +lon_0=-158 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=1,1,-1 +units=m +no_defs +26964 projected NAD83 / Hawaii zone 4 -159.85,21.81,-159.23,22.29 4 6269 +proj=tmerc +lat_0=21.8333333333333 +lon_0=-159.5 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=1,1,-1 +units=m +no_defs +26965 projected NAD83 / Hawaii zone 5 -160.3,21.73,-159.99,22.07 4 6269 +proj=tmerc +lat_0=21.6666666666667 +lon_0=-160.166666666667 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=1,1,-1 +units=m +no_defs +26966 projected NAD83 / Georgia East -83.47,30.36,-80.77,34.68 4 6269 +proj=tmerc +lat_0=30 +lon_0=-82.1666666666667 +k=0.9999 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26967 projected NAD83 / Georgia West -85.61,30.62,-82.99,35.01 4 6269 +proj=tmerc +lat_0=30 +lon_0=-84.1666666666667 +k=0.9999 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26968 projected NAD83 / Idaho East -113.24,41.99,-111.04,44.75 4 6269 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-112.166666666667 +k=0.999947368 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26969 projected NAD83 / Idaho Central -115.3,41.99,-112.67,45.7 4 6269 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-114 +k=0.999947368 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26970 projected NAD83 / Idaho West -117.24,41.99,-114.32,49.01 4 6269 +proj=tmerc +lat_0=41.6666666666667 +lon_0=-115.75 +k=0.999933333 +x_0=800000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26971 projected NAD83 / Illinois East -89.27,37.06,-87.02,42.5 4 6269 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-88.3333333333333 +k=0.999975 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26972 projected NAD83 / Illinois West -91.52,36.97,-88.92,42.51 4 6269 +proj=tmerc +lat_0=36.6666666666667 +lon_0=-90.1666666666667 +k=0.999941177 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26973 projected NAD83 / Indiana East -86.59,37.95,-84.78,41.77 4 6269 +proj=tmerc +lat_0=37.5 +lon_0=-85.6666666666667 +k=0.999966667 +x_0=100000 +y_0=250000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26974 projected NAD83 / Indiana West -88.1,37.77,-86.24,41.77 4 6269 +proj=tmerc +lat_0=37.5 +lon_0=-87.0833333333333 +k=0.999966667 +x_0=900000 +y_0=250000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26975 projected NAD83 / Iowa North -96.65,41.85,-90.15,43.51 4 6269 +proj=lcc +lat_0=41.5 +lon_0=-93.5 +lat_1=43.2666666666667 +lat_2=42.0666666666667 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26976 projected NAD83 / Iowa South -96.14,40.36,-90.14,42.04 4 6269 +proj=lcc +lat_0=40 +lon_0=-93.5 +lat_1=41.7833333333333 +lat_2=40.6166666666667 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26977 projected NAD83 / Kansas North -102.06,38.52,-94.58,40.01 4 6269 +proj=lcc +lat_0=38.3333333333333 +lon_0=-98 +lat_1=39.7833333333333 +lat_2=38.7166666666667 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26978 projected NAD83 / Kansas South -102.05,36.99,-94.6,38.88 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-98.5 +lat_1=38.5666666666667 +lat_2=37.2666666666667 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26980 projected NAD83 / Kentucky South -89.57,36.49,-81.95,38.17 4 6269 +proj=lcc +lat_0=36.3333333333333 +lon_0=-85.75 +lat_1=37.9333333333333 +lat_2=36.7333333333333 +x_0=500000 +y_0=500000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26981 projected NAD83 / Louisiana North -94.05,30.85,-90.86,33.03 4 6269 +proj=lcc +lat_0=30.5 +lon_0=-92.5 +lat_1=32.6666666666667 +lat_2=31.1666666666667 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26982 projected NAD83 / Louisiana South -93.94,28.85,-88.75,31.07 4 6269 +proj=lcc +lat_0=28.5 +lon_0=-91.3333333333333 +lat_1=30.7 +lat_2=29.3 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26983 projected NAD83 / Maine East -70.03,43.88,-66.91,47.47 4 6269 +proj=tmerc +lat_0=43.6666666666667 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26984 projected NAD83 / Maine West -71.09,43.04,-69.26,46.58 4 6269 +proj=tmerc +lat_0=42.8333333333333 +lon_0=-70.1666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26985 projected NAD83 / Maryland -79.49,37.97,-74.97,39.73 4 6269 +proj=lcc +lat_0=37.6666666666667 +lon_0=-77 +lat_1=39.45 +lat_2=38.3 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26986 projected NAD83 / Massachusetts Mainland -73.5,41.46,-69.86,42.89 4 6269 +proj=lcc +lat_0=41 +lon_0=-71.5 +lat_1=42.6833333333333 +lat_2=41.7166666666667 +x_0=200000 +y_0=750000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26987 projected NAD83 / Massachusetts Island -70.91,41.19,-69.89,41.51 4 6269 +proj=lcc +lat_0=41 +lon_0=-70.5 +lat_1=41.4833333333333 +lat_2=41.2833333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26988 projected NAD83 / Michigan North -90.42,45.08,-83.44,48.32 4 6269 +proj=lcc +lat_0=44.7833333333333 +lon_0=-87 +lat_1=47.0833333333333 +lat_2=45.4833333333333 +x_0=8000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26989 projected NAD83 / Michigan Central -87.06,43.8,-82.27,45.92 4 6269 +proj=lcc +lat_0=43.3166666666667 +lon_0=-84.3666666666667 +lat_1=45.7 +lat_2=44.1833333333333 +x_0=6000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26990 projected NAD83 / Michigan South -87.2,41.69,-82.13,44.22 4 6269 +proj=lcc +lat_0=41.5 +lon_0=-84.3666666666667 +lat_1=43.6666666666667 +lat_2=42.1 +x_0=4000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26991 projected NAD83 / Minnesota North -97.22,46.64,-89.49,49.38 4 6269 +proj=lcc +lat_0=46.5 +lon_0=-93.1 +lat_1=48.6333333333333 +lat_2=47.0333333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26992 projected NAD83 / Minnesota Central -96.86,45.28,-92.29,47.48 4 6269 +proj=lcc +lat_0=45 +lon_0=-94.25 +lat_1=47.05 +lat_2=45.6166666666667 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26993 projected NAD83 / Minnesota South -96.85,43.49,-91.21,45.59 4 6269 +proj=lcc +lat_0=43 +lon_0=-94 +lat_1=45.2166666666667 +lat_2=43.7833333333333 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26994 projected NAD83 / Mississippi East -89.97,30.01,-88.09,35.01 4 6269 +proj=tmerc +lat_0=29.5 +lon_0=-88.8333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26995 projected NAD83 / Mississippi West -91.65,31,-89.37,35.01 4 6269 +proj=tmerc +lat_0=29.5 +lon_0=-90.3333333333333 +k=0.99995 +x_0=700000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26996 projected NAD83 / Missouri East -91.97,35.98,-89.1,40.61 4 6269 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-90.5 +k=0.999933333 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26997 projected NAD83 / Missouri Central -93.79,36.48,-91.41,40.61 4 6269 +proj=tmerc +lat_0=35.8333333333333 +lon_0=-92.5 +k=0.999933333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +26998 projected NAD83 / Missouri West -95.77,36.48,-93.48,40.59 4 6269 +proj=tmerc +lat_0=36.1666666666667 +lon_0=-94.5 +k=0.999941177 +x_0=850000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +27039 projected Nahrwan 1967 / UTM zone 39N 50.55,22.76,54.01,27.05 44 6270 +proj=utm +zone=39 +a=6378249.145 +rf=293.465 +towgs84=-249,-156,381 +units=m +no_defs +27040 projected Nahrwan 1967 / UTM zone 40N 54,22.63,57.13,26.27 44 6270 +proj=utm +zone=40 +a=6378249.145 +rf=293.465 +towgs84=-249,-156,381 +units=m +no_defs +27120 projected Naparima 1972 / UTM zone 20N -60.9,11.08,-60.44,11.41 26 6271 +proj=utm +zone=20 +ellps=intl +towgs84=-2,374,172 +units=m +no_defs +27200 projected NZGD49 / New Zealand Map Grid 166.37,-47.33,178.63,-34.1 4 6272 +proj=nzmg +lat_0=-41 +lon_0=173 +x_0=2510000 +y_0=6023150 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27205 projected NZGD49 / Mount Eden Circuit 171.99,-39.01,176.12,-34.1 4 6272 +proj=tmerc +lat_0=-36.8798652777778 +lon_0=174.764339361111 +k=0.9999 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27206 projected NZGD49 / Bay of Plenty Circuit 175.75,-39.13,177.23,-37.22 4 6272 +proj=tmerc +lat_0=-37.7612498055556 +lon_0=176.46619725 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27207 projected NZGD49 / Poverty Bay Circuit 176.73,-39.04,178.63,-37.49 4 6272 +proj=tmerc +lat_0=-38.6247027777778 +lon_0=177.885636277778 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27208 projected NZGD49 / Hawkes Bay Circuit 175.8,-40.57,178.07,-38.87 4 6272 +proj=tmerc +lat_0=-39.6509293055556 +lon_0=176.673680527778 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27209 projected NZGD49 / Taranaki Circuit 173.68,-39.78,175.44,-38.4 4 6272 +proj=tmerc +lat_0=-39.1357583055556 +lon_0=174.22801175 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27210 projected NZGD49 / Tuhirangi Circuit 174.88,-39.55,176.33,-38.87 4 6272 +proj=tmerc +lat_0=-39.5124703888889 +lon_0=175.640036805556 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27211 projected NZGD49 / Wanganui Circuit 174.4,-40.97,176.27,-39.46 4 6272 +proj=tmerc +lat_0=-40.2419471388889 +lon_0=175.488099611111 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27212 projected NZGD49 / Wairarapa Circuit 175.01,-41.67,176.55,-40.29 4 6272 +proj=tmerc +lat_0=-40.9255326388889 +lon_0=175.647349666667 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27213 projected NZGD49 / Wellington Circuit 174.52,-41.5,175.36,-40.91 4 6272 +proj=tmerc +lat_0=-41.3013196388889 +lon_0=174.776623111111 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27214 projected NZGD49 / Collingwood Circuit 172.16,-41.22,173.13,-40.44 4 6272 +proj=tmerc +lat_0=-40.7147590555556 +lon_0=172.6720465 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27215 projected NZGD49 / Nelson Circuit 172.4,-42.18,174.08,-40.66 4 6272 +proj=tmerc +lat_0=-41.2745447222222 +lon_0=173.299316805556 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27216 projected NZGD49 / Karamea Circuit 171.96,-41.49,172.7,-40.75 4 6272 +proj=tmerc +lat_0=-41.2899115277778 +lon_0=172.109028194444 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27217 projected NZGD49 / Buller Circuit 171.27,-42.19,172.41,-41.42 4 6272 +proj=tmerc +lat_0=-41.8108028611111 +lon_0=171.581260055556 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27218 projected NZGD49 / Grey Circuit 171.15,-42.74,172.75,-41.5 4 6272 +proj=tmerc +lat_0=-42.3336942777778 +lon_0=171.549771305556 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27219 projected NZGD49 / Amuri Circuit 171.88,-42.95,173.55,-42.09 4 6272 +proj=tmerc +lat_0=-42.6891165833333 +lon_0=173.010133388889 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27220 projected NZGD49 / Marlborough Circuit 172.95,-42.65,174.46,-40.85 4 6272 +proj=tmerc +lat_0=-41.5444866666667 +lon_0=173.802074111111 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27221 projected NZGD49 / Hokitika Circuit 170.39,-43.23,171.89,-42.41 4 6272 +proj=tmerc +lat_0=-42.8863223611111 +lon_0=170.9799935 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27222 projected NZGD49 / Okarito Circuit 169.21,-43.85,170.89,-43 4 6272 +proj=tmerc +lat_0=-43.1101281388889 +lon_0=170.260925833333 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27223 projected NZGD49 / Jacksons Bay Circuit 168.02,-44.4,170.01,-43.67 4 6272 +proj=tmerc +lat_0=-43.9778028888889 +lon_0=168.606267 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27224 projected NZGD49 / Mount Pleasant Circuit 171.11,-43.96,173.38,-42.69 4 6272 +proj=tmerc +lat_0=-43.5906375833333 +lon_0=172.727193583333 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27225 projected NZGD49 / Gawler Circuit 170.68,-44.25,172.26,-43.13 4 6272 +proj=tmerc +lat_0=-43.7487115555556 +lon_0=171.360748472222 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27226 projected NZGD49 / Timaru Circuit 169.82,-44.98,171.55,-43.35 4 6272 +proj=tmerc +lat_0=-44.4022203611111 +lon_0=171.057250833333 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27227 projected NZGD49 / Lindis Peak Circuit 168.62,-45.4,170.24,-43.71 4 6272 +proj=tmerc +lat_0=-44.7352679722222 +lon_0=169.467755083333 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27228 projected NZGD49 / Mount Nicholas Circuit 167.72,-45.58,169.11,-44.29 4 6272 +proj=tmerc +lat_0=-45.1329025833333 +lon_0=168.398641194444 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27229 projected NZGD49 / Mount York Circuit 166.37,-46.33,168.21,-44.53 4 6272 +proj=tmerc +lat_0=-45.5637261666667 +lon_0=167.738861777778 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27230 projected NZGD49 / Observation Point Circuit 169.77,-45.82,171.24,-44.61 4 6272 +proj=tmerc +lat_0=-45.8161966111111 +lon_0=170.628595166667 +k=1 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27231 projected NZGD49 / North Taieri Circuit 168.64,-46.73,170.87,-45.23 4 6272 +proj=tmerc +lat_0=-45.8615133611111 +lon_0=170.282589111111 +k=0.99996 +x_0=300000 +y_0=700000 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27232 projected NZGD49 / Bluff Circuit 167.29,-47.33,168.97,-45.33 4 6272 +proj=tmerc +lat_0=-46.6000096111111 +lon_0=168.342872 +k=1 +x_0=300002.66 +y_0=699999.58 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27258 projected NZGD49 / UTM zone 58S 165.87,-47.65,168,-42.59 4 6272 +proj=utm +zone=58 +south +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27259 projected NZGD49 / UTM zone 59S 168,-47.64,174,-33.89 4 6272 +proj=utm +zone=59 +south +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27260 projected NZGD49 / UTM zone 60S 174,-44.13,179.27,-34.24 4 6272 +proj=utm +zone=60 +south +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +units=m +no_defs +27291 projected NZGD49 / North Island Grid 171.99,-41.67,178.63,-34.1 4 6272 +proj=tmerc +lat_0=-39 +lon_0=175.5 +k=1 +x_0=274319.524384809 +y_0=365759.365846411 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +to_meter=0.914398414616029 +no_defs +27292 projected NZGD49 / South Island Grid 166.37,-47.33,174.46,-40.44 4 6272 +proj=tmerc +lat_0=-44 +lon_0=171.5 +k=1 +x_0=457199.207308014 +y_0=457199.207308014 +ellps=intl +towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993 +to_meter=0.914398414616029 +no_defs +27391 projected NGO 1948 (Oslo) / NGO zone I 4.39,57.92,7.23,63.17 6817 +proj=tmerc +lat_0=58 +lon_0=-4.66666666666667 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27392 projected NGO 1948 (Oslo) / NGO zone II 7.22,57.9,9.56,64.23 6817 +proj=tmerc +lat_0=58 +lon_0=-2.33333333333333 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27393 projected NGO 1948 (Oslo) / NGO zone III 9.55,58.78,11.98,67.58 6817 +proj=tmerc +lat_0=58 +lon_0=0 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27394 projected NGO 1948 (Oslo) / NGO zone IV 11.97,59.88,15.06,69.1 6817 +proj=tmerc +lat_0=58 +lon_0=2.5 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27395 projected NGO 1948 (Oslo) / NGO zone V 15.05,66.15,18.89,70.27 6817 +proj=tmerc +lat_0=58 +lon_0=6.16666666666667 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27396 projected NGO 1948 (Oslo) / NGO zone VI 18.88,68.33,22.89,70.93 6817 +proj=tmerc +lat_0=58 +lon_0=10.1666666666667 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27397 projected NGO 1948 (Oslo) / NGO zone VII 22.88,68.58,26.98,71.24 6817 +proj=tmerc +lat_0=58 +lon_0=14.1666666666667 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27398 projected NGO 1948 (Oslo) / NGO zone VIII 26.97,69.02,31.32,71.19 6817 +proj=tmerc +lat_0=58 +lon_0=18.3333333333333 +k=1 +x_0=0 +y_0=0 +a=6377492.018 +rf=299.1528128 +pm=10.7229166666667 +units=m +no_defs +27429 projected Datum 73 / UTM zone 29N -9.56,36.95,-6.19,42.16 1 6274 +proj=utm +zone=29 +ellps=intl +towgs84=-239.749,88.181,30.488,0.263,0.082,1.211,2.229 +units=m +no_defs +27493 projected Datum 73 / Modified Portuguese Grid -9.56,36.95,-6.19,42.16 1 6274 +proj=tmerc +lat_0=39.6666666666667 +lon_0=-8.13190611111111 +k=1 +x_0=180.598 +y_0=-86.99 +ellps=intl +towgs84=-239.749,88.181,30.488,0.263,0.082,1.211,2.229 +units=m +no_defs +27500 projected ATF (Paris) / Nord de Guerre 6.84,47.42,8.23,49.07 6901 +proj=lcc +lat_1=49.5 +lat_0=49.5 +lon_0=5.4 +k_0=0.99950908 +x_0=500000 +y_0=300000 +a=6376523 +rf=308.64 +pm=2.33720833333333 +units=m +no_defs +27561 projected NTF (Paris) / Lambert Nord France -4.87,48.14,8.23,51.14 6807 +proj=lcc +lat_1=49.5 +lat_0=49.5 +lon_0=0 +k_0=0.999877341 +x_0=600000 +y_0=200000 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27562 projected NTF (Paris) / Lambert Centre France -4.8,45.44,7.63,48.15 6807 +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=200000 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27563 projected NTF (Paris) / Lambert Sud France -1.79,42.33,7.71,45.46 6807 +proj=lcc +lat_1=44.1 +lat_0=44.1 +lon_0=0 +k_0=0.999877499 +x_0=600000 +y_0=200000 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27564 projected NTF (Paris) / Lambert Corse 8.5,41.31,9.63,43.07 6807 +proj=lcc +lat_1=42.165 +lat_0=42.165 +lon_0=0 +k_0=0.99994471 +x_0=234.358 +y_0=185861.369 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27571 projected NTF (Paris) / Lambert zone I -4.87,48.14,8.23,51.14 6807 +proj=lcc +lat_1=49.5 +lat_0=49.5 +lon_0=0 +k_0=0.999877341 +x_0=600000 +y_0=1200000 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27572 projected NTF (Paris) / Lambert zone II -4.87,42.33,8.23,51.14 6807 +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=2200000 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27573 projected NTF (Paris) / Lambert zone III -1.79,42.33,7.71,45.46 6807 +proj=lcc +lat_1=44.1 +lat_0=44.1 +lon_0=0 +k_0=0.999877499 +x_0=600000 +y_0=3200000 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27574 projected NTF (Paris) / Lambert zone IV 8.5,41.31,9.63,43.07 6807 +proj=lcc +lat_1=42.165 +lat_0=42.165 +lon_0=0 +k_0=0.99994471 +x_0=234.358 +y_0=4185861.369 +ellps=clrk80ign +pm=2.33722916999999 +units=m +no_defs +27700 projected OSGB36 / British National Grid -9.01,49.75,2.01,61.01 2 6277 +proj=tmerc +lat_0=49 +lon_0=-2 +k=0.9996012717 +x_0=400000 +y_0=-100000 +ellps=airy +towgs84=446.448,-125.157,542.06,0.15,0.247,0.842,-20.489 +units=m +no_defs +27701 projected WGS 84 / Equi7 Africa -31.68,-43.89,79.3,38.8 6326 +proj=aeqd +lat_0=8.5 +lon_0=21.5 +x_0=5621452.02 +y_0=5990638.423 +datum=WGS84 +units=m +no_defs +27702 projected WGS 84 / Equi7 Antarctica -180,-90,180,-34.47 6326 +proj=aeqd +lat_0=-90 +lon_0=0 +x_0=3714266.977 +y_0=3402016.506 +datum=WGS84 +units=m +no_defs +27703 projected WGS 84 / Equi7 Asia 31.45,-10.8,-168.43,83.67 6326 +proj=aeqd +lat_0=47 +lon_0=94 +x_0=4340913.848 +y_0=4812712.923 +datum=WGS84 +units=m +no_defs +27704 projected WGS 84 / Equi7 Europe -42.52,29.24,51.73,83.67 6326 +proj=aeqd +lat_0=53 +lon_0=24 +x_0=5837287.82 +y_0=2121415.696 +datum=WGS84 +units=m +no_defs +27705 projected WGS 84 / Equi7 North America -180,7.98,180,90 6326 +proj=aeqd +lat_0=52 +lon_0=-97.5 +x_0=8264722.177 +y_0=4867518.353 +datum=WGS84 +units=m +no_defs +27706 projected WGS 84 / Equi7 Oceania 72.37,-60.56,-121.05,21.57 6326 +proj=aeqd +lat_0=-19.5 +lon_0=131.5 +x_0=6988408.536 +y_0=7654884.537 +datum=WGS84 +units=m +no_defs +27707 projected WGS 84 / Equi7 South America -124.82,-59.87,-14.58,30.31 6326 +proj=aeqd +lat_0=-14 +lon_0=-60.5 +x_0=7257179.236 +y_0=5592024.446 +datum=WGS84 +units=m +no_defs +28191 projected Palestine 1923 / Palestine Grid 34.17,29.18,39.31,33.38 2 6281 +proj=cass +lat_0=31.7340969444444 +lon_0=35.2120805555556 +x_0=170251.555 +y_0=126867.909 +a=6378300.789 +b=6356566.435 +towgs84=-275.7224,94.7824,340.8944,-8.001,-4.42,-11.821,1 +units=m +no_defs +28192 projected Palestine 1923 / Palestine Belt 34.17,29.18,39.31,33.38 2 6281 +proj=tmerc +lat_0=31.7340969444444 +lon_0=35.2120805555556 +k=1 +x_0=170251.555 +y_0=1126867.909 +a=6378300.789 +b=6356566.435 +towgs84=-275.7224,94.7824,340.8944,-8.001,-4.42,-11.821,1 +units=m +no_defs +28193 projected Palestine 1923 / Israeli CS Grid 34.17,29.45,35.69,33.28 2 6281 +proj=cass +lat_0=31.7340969444444 +lon_0=35.2120805555556 +x_0=170251.555 +y_0=1126867.909 +a=6378300.789 +b=6356566.435 +towgs84=-275.7224,94.7824,340.8944,-8.001,-4.42,-11.821,1 +units=m +no_defs +28232 projected Pointe Noire / UTM zone 32S 8.84,-6.91,18.65,3.72 44 6282 +proj=utm +zone=32 +south +ellps=clrk80ign +towgs84=-148,51,-291 +units=m +no_defs +28348 projected GDA94 / MGA zone 48 102.14,-34.68,108.01,-8.87 3 6283 +proj=utm +zone=48 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28349 projected GDA94 / MGA zone 49 108,-37.84,114.01,-10.72 3 6283 +proj=utm +zone=49 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28350 projected GDA94 / MGA zone 50 114,-38.53,120.01,-12.06 3 6283 +proj=utm +zone=50 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28351 projected GDA94 / MGA zone 51 120,-38.07,126.01,-10.46 3 6283 +proj=utm +zone=51 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28352 projected GDA94 / MGA zone 52 125.99,-37.38,132,-9.1 3 6283 +proj=utm +zone=52 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28353 projected GDA94 / MGA zone 53 132,-40.71,138.01,-8.88 3 6283 +proj=utm +zone=53 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28354 projected GDA94 / MGA zone 54 138,-48.19,144.01,-9.08 3 6283 +proj=utm +zone=54 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28355 projected GDA94 / MGA zone 55 144,-50.89,150.01,-9.23 3 6283 +proj=utm +zone=55 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28356 projected GDA94 / MGA zone 56 150,-58.96,156,-13.87 3 6283 +proj=utm +zone=56 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28357 projected GDA94 / MGA zone 57 156,-60.56,162.01,-14.08 3 6283 +proj=utm +zone=57 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28358 projected GDA94 / MGA zone 58 162,-59.39,168,-25.94 3 6283 +proj=utm +zone=58 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +28404 projected Pulkovo 1942 / Gauss-Kruger zone 4 19.57,47.95,24,59.44 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28405 projected Pulkovo 1942 / Gauss-Kruger zone 5 24,45.18,30.01,69.47 3 6284 +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28406 projected Pulkovo 1942 / Gauss-Kruger zone 6 30,44.32,36,70.02 3 6284 +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=6500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28407 projected Pulkovo 1942 / Gauss-Kruger zone 7 36,41.43,42,69.23 3 6284 +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28408 projected Pulkovo 1942 / Gauss-Kruger zone 8 42,38.84,48.01,80.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=45 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28409 projected Pulkovo 1942 / Gauss-Kruger zone 9 48,37.34,54,81.4 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=51 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28410 projected Pulkovo 1942 / Gauss-Kruger zone 10 54,37.05,60,81.91 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=57 +k=1 +x_0=10500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28411 projected Pulkovo 1942 / Gauss-Kruger zone 11 60,35.14,66,81.77 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=63 +k=1 +x_0=11500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28412 projected Pulkovo 1942 / Gauss-Kruger zone 12 66,36.67,72,77.07 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=69 +k=1 +x_0=12500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28413 projected Pulkovo 1942 / Gauss-Kruger zone 13 72,36.79,78,79.71 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28414 projected Pulkovo 1942 / Gauss-Kruger zone 14 78,41.04,84.01,81.03 4.5 6284 +proj=tmerc +lat_0=0 +lon_0=81 +k=1 +x_0=14500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,0,0.35,0.736,0 +units=m +no_defs +28415 projected Pulkovo 1942 / Gauss-Kruger zone 15 84,46.82,90,81.27 3 6284 +proj=tmerc +lat_0=0 +lon_0=87 +k=1 +x_0=15500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28416 projected Pulkovo 1942 / Gauss-Kruger zone 16 90,49.89,96,81.35 3 6284 +proj=tmerc +lat_0=0 +lon_0=93 +k=1 +x_0=16500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28417 projected Pulkovo 1942 / Gauss-Kruger zone 17 96,49.73,102,81.32 3 6284 +proj=tmerc +lat_0=0 +lon_0=99 +k=1 +x_0=17500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28418 projected Pulkovo 1942 / Gauss-Kruger zone 18 102,49.64,108,79.48 3 6284 +proj=tmerc +lat_0=0 +lon_0=105 +k=1 +x_0=18500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28419 projected Pulkovo 1942 / Gauss-Kruger zone 19 108,49.14,114,76.81 3 6284 +proj=tmerc +lat_0=0 +lon_0=111 +k=1 +x_0=19500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28420 projected Pulkovo 1942 / Gauss-Kruger zone 20 114,49.51,120,75.96 3 6284 +proj=tmerc +lat_0=0 +lon_0=117 +k=1 +x_0=20500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28421 projected Pulkovo 1942 / Gauss-Kruger zone 21 120,51.51,126,74 3 6284 +proj=tmerc +lat_0=0 +lon_0=123 +k=1 +x_0=21500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28422 projected Pulkovo 1942 / Gauss-Kruger zone 22 126,42.25,132,73.61 3 6284 +proj=tmerc +lat_0=0 +lon_0=129 +k=1 +x_0=22500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28423 projected Pulkovo 1942 / Gauss-Kruger zone 23 132,42.63,138,76.15 3 6284 +proj=tmerc +lat_0=0 +lon_0=135 +k=1 +x_0=23500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28424 projected Pulkovo 1942 / Gauss-Kruger zone 24 138,45.84,144,76.27 3 6284 +proj=tmerc +lat_0=0 +lon_0=141 +k=1 +x_0=24500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28425 projected Pulkovo 1942 / Gauss-Kruger zone 25 144,43.6,150,76.82 3 6284 +proj=tmerc +lat_0=0 +lon_0=147 +k=1 +x_0=25500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28426 projected Pulkovo 1942 / Gauss-Kruger zone 26 150,45.77,156,76.26 3 6284 +proj=tmerc +lat_0=0 +lon_0=153 +k=1 +x_0=26500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28427 projected Pulkovo 1942 / Gauss-Kruger zone 27 156,50.27,162,77.2 3 6284 +proj=tmerc +lat_0=0 +lon_0=159 +k=1 +x_0=27500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28428 projected Pulkovo 1942 / Gauss-Kruger zone 28 162,54.47,168,70.03 3 6284 +proj=tmerc +lat_0=0 +lon_0=165 +k=1 +x_0=28500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28429 projected Pulkovo 1942 / Gauss-Kruger zone 29 168,54.45,174,70.19 3 6284 +proj=tmerc +lat_0=0 +lon_0=171 +k=1 +x_0=29500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28430 projected Pulkovo 1942 / Gauss-Kruger zone 30 174,61.65,180,71.59 3 6284 +proj=tmerc +lat_0=0 +lon_0=177 +k=1 +x_0=30500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28431 projected Pulkovo 1942 / Gauss-Kruger zone 31 -180,64.35,-174,71.65 3 6284 +proj=tmerc +lat_0=0 +lon_0=-177 +k=1 +x_0=31500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28432 projected Pulkovo 1942 / Gauss-Kruger zone 32 -174,64.2,-168.97,67.18 3 6284 +proj=tmerc +lat_0=0 +lon_0=-171 +k=1 +x_0=32500000 +y_0=0 +ellps=krass +towgs84=23.57,-140.95,-79.8,0,0.35,0.79,-0.22 +units=m +no_defs +28600 projected Qatar 1974 / Qatar National Grid 50.69,24.55,51.68,26.2 1 6285 +proj=tmerc +lat_0=24.45 +lon_0=51.2166666666667 +k=0.99999 +x_0=200000 +y_0=300000 +ellps=intl +towgs84=-128.033,-283.697,21.052 +units=m +no_defs +28991 projected Amersfoort / RD Old 3.2,50.75,7.22,53.7 1 6289 +proj=sterea +lat_0=52.1561605555556 +lon_0=5.38763888888889 +k=0.9999079 +x_0=0 +y_0=0 +ellps=bessel +towgs84=565.4171,50.3319,465.5524,-0.398957388243134,0.343987817378283,-1.87740163998045,4.0725 +units=m +no_defs +28992 projected Amersfoort / RD New 3.2,50.75,7.22,53.7 1 6289 +proj=sterea +lat_0=52.1561605555556 +lon_0=5.38763888888889 +k=0.9999079 +x_0=155000 +y_0=463000 +ellps=bessel +towgs84=565.4171,50.3319,465.5524,-0.398957388243134,0.343987817378283,-1.87740163998045,4.0725 +units=m +no_defs +29101 projected SAD69 / Brazil Polyconic -74.01,-35.71,-25.28,7.04 5 6618 +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +29168 projected SAD69 / UTM zone 18N -78,0,-72,12.31 10 6618 +proj=utm +zone=18 +ellps=aust_SA +towgs84=-44,6,-36 +units=m +no_defs +29169 projected SAD69 / UTM zone 19N -72,0,-66,12.52 19 6618 +proj=utm +zone=19 +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29170 projected SAD69 / UTM zone 20N -66,0.64,-59.99,11.23 8 6618 +proj=utm +zone=20 +ellps=aust_SA +towgs84=-45,8,-33 +units=m +no_defs +29171 projected SAD69 / UTM zone 21N -60,1.18,-54,8.6 19 6618 +proj=utm +zone=21 +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29172 projected SAD69 / UTM zone 22N -54,1.68,-46.65,5.81 5 6618 +proj=utm +zone=22 +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +29187 projected SAD69 / UTM zone 17S -81.41,-10.53,-78,0 19 6618 +proj=utm +zone=17 +south +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29188 projected SAD69 / UTM zone 18S -78,-45,-71.99,0 19 6618 +proj=utm +zone=18 +south +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29189 projected SAD69 / UTM zone 19S -72,-45,-65.99,2.15 19 6618 +proj=utm +zone=19 +south +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29190 projected SAD69 / UTM zone 20S -66,-45,-59.99,5.28 19 6618 +proj=utm +zone=20 +south +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29191 projected SAD69 / UTM zone 21S -60,-38.91,-53.99,4.51 19 6618 +proj=utm +zone=21 +south +ellps=aust_SA +towgs84=-57,1,-41 +units=m +no_defs +29192 projected SAD69 / UTM zone 22S -54,-35.71,-47.99,7.04 5 6618 +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +29193 projected SAD69 / UTM zone 23S -48,-33.5,-42,5.13 5 6618 +proj=utm +zone=23 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +29194 projected SAD69 / UTM zone 24S -42,-26.35,-36,0.74 5 6618 +proj=utm +zone=24 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +29195 projected SAD69 / UTM zone 25S -36,-23.8,-29.99,4.19 5 6618 +proj=utm +zone=25 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22 +units=m +no_defs +29220 projected Sapper Hill 1943 / UTM zone 20S -61.55,-52.33,-59.99,-50.96 6292 +proj=utm +zone=20 +south +ellps=intl +units=m +no_defs +29221 projected Sapper Hill 1943 / UTM zone 21S -60,-52.51,-57.6,-51.13 2 6292 +proj=utm +zone=21 +south +ellps=intl +towgs84=-355,21,72 +units=m +no_defs +29333 projected Schwarzeck / UTM zone 33S 8.24,-30.64,16.46,-17.24 35 6293 +proj=utm +zone=33 +south +ellps=bess_nam +towgs84=616,97,-251 +units=m +no_defs +29371 projected Schwarzeck / Lo22/11 11.66,-18.53,12,-17.15 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=11 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29373 projected Schwarzeck / Lo22/13 12,-21.9,14.01,-16.95 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=13 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29375 projected Schwarzeck / Lo22/15 14,-28.3,16,-17.38 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=15 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29377 projected Schwarzeck / Lo22/17 15.99,-28.83,18.01,-17.38 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=17 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29379 projected Schwarzeck / Lo22/19 18,-28.97,20,-17.38 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=19 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29381 projected Schwarzeck / Lo22/21 19.99,-22.01,22,-17.85 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=21 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29383 projected Schwarzeck / Lo22/23 21.99,-18.49,24,-17.52 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=23 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29385 projected Schwarzeck / Lo22/25 24,-18.18,25.27,-17.47 35 6293 +proj=tmerc +axis=wsu +lat_0=-22 +lon_0=25 +k=1 +x_0=0 +y_0=0 +ellps=bess_nam +towgs84=616,97,-251 +to_meter=1.0000135965 +no_defs +29701 projected Tananarive (Paris) / Laborde Grid 43.18,-25.64,50.56,-11.89 6810 +proj=labrd +lat_0=-18.9 +lon_0=44.1 +azi=18.9 +k=0.9995 +x_0=400000 +y_0=800000 +ellps=intl +pm=2.33722916999999 +units=m +no_defs +29702 projected Tananarive (Paris) / Laborde Grid approximation 43.18,-25.64,50.56,-11.89 6810 +proj=omerc +lat_0=-18.9 +lonc=44.1 +alpha=18.9 +gamma=18.9 +k=0.9995 +x_0=400000 +y_0=800000 +ellps=intl +pm=2.33722916999999 +units=m +no_defs +29738 projected Tananarive / UTM zone 38S 42.53,-26.59,48,-13 3 6297 +proj=utm +zone=38 +south +ellps=intl +towgs84=-198.383,-240.517,-107.909 +units=m +no_defs +29739 projected Tananarive / UTM zone 39S 48,-24.21,51.03,-11.69 3 6297 +proj=utm +zone=39 +south +ellps=intl +towgs84=-198.383,-240.517,-107.909 +units=m +no_defs +29849 projected Timbalai 1948 / UTM zone 49N 109.31,0.85,114,7.37 19 6298 +proj=utm +zone=49 +ellps=evrstSS +towgs84=-679,669,-48 +units=m +no_defs +29850 projected Timbalai 1948 / UTM zone 50N 114,1.43,119.61,7.67 19 6298 +proj=utm +zone=50 +ellps=evrstSS +towgs84=-679,669,-48 +units=m +no_defs +29871 projected Timbalai 1948 / RSO Borneo (ch) 109.31,0.85,119.61,7.67 19 6298 +proj=omerc +lat_0=4 +lonc=115 +alpha=53.3158204722222 +gamma=53.1301023611111 +k=0.99984 +x_0=590476.87146304 +y_0=442857.653094361 +ellps=evrstSS +towgs84=-679,669,-48 +to_meter=20.1167651215526 +no_defs +29872 projected Timbalai 1948 / RSO Borneo (ftSe) 109.31,0.85,119.61,7.67 19 6298 +proj=omerc +lat_0=4 +lonc=115 +alpha=53.3158204722222 +gamma=53.1301023611111 +k=0.99984 +x_0=590476.872743198 +y_0=442857.654557398 +ellps=evrstSS +towgs84=-679,669,-48 +to_meter=0.304799471538676 +no_defs +29873 projected Timbalai 1948 / RSO Borneo (m) 109.31,0.85,119.61,7.67 19 6298 +proj=omerc +lat_0=4 +lonc=115 +alpha=53.3158204722222 +gamma=53.1301023611111 +k=0.99984 +x_0=590476.87 +y_0=442857.65 +ellps=evrstSS +towgs84=-679,669,-48 +units=m +no_defs +29874 projected Timbalai 1948 / RSO Sarawak LSD (m) 109.54,0.85,115.69,5.03 19 6298 +proj=omerc +no_uoff +lat_0=4 +lonc=115 +alpha=53.3158204722222 +gamma=53.1301023611111 +k=0.99984 +x_0=2000000 +y_0=5000000 +ellps=evrstSS +towgs84=-679,669,-48 +units=m +no_defs +29901 projected OSNI 1952 / Irish National Grid -8.18,53.96,-5.34,55.36 1 6188 +proj=tmerc +lat_0=53.5 +lon_0=-8 +k=1 +x_0=200000 +y_0=250000 +ellps=airy +towgs84=482.5,-130.6,564.6,-1.042,-0.214,-0.631,8.15 +units=m +no_defs +29902 projected TM65 / Irish Grid -10.56,51.39,-5.93,55.43 1 6299 +proj=tmerc +lat_0=53.5 +lon_0=-8 +k=1.000035 +x_0=200000 +y_0=250000 +a=6377340.189 +rf=299.3249646 +towgs84=482.5,-130.6,564.6,-1.042,-0.214,-0.631,8.15 +units=m +no_defs +29903 projected TM75 / Irish Grid -10.56,51.39,-5.34,55.43 1 6300 +proj=tmerc +lat_0=53.5 +lon_0=-8 +k=1.000035 +x_0=200000 +y_0=250000 +a=6377340.189 +rf=299.3249646 +towgs84=482.5,-130.6,564.6,-1.042,-0.214,-0.631,8.15 +units=m +no_defs +30161 projected Tokyo / Japan Plane Rectangular CS I 128.17,26.96,130.46,34.74 9 6301 +proj=tmerc +lat_0=33 +lon_0=129.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30162 projected Tokyo / Japan Plane Rectangular CS II 129.76,30.18,132.05,33.99 9 6301 +proj=tmerc +lat_0=33 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30163 projected Tokyo / Japan Plane Rectangular CS III 130.81,33.72,133.49,36.38 9 6301 +proj=tmerc +lat_0=36 +lon_0=132.166666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30164 projected Tokyo / Japan Plane Rectangular CS IV 131.95,32.69,134.81,34.45 9 6301 +proj=tmerc +lat_0=33 +lon_0=133.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30165 projected Tokyo / Japan Plane Rectangular CS V 133.13,34.13,135.47,35.71 9 6301 +proj=tmerc +lat_0=36 +lon_0=134.333333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30166 projected Tokyo / Japan Plane Rectangular CS VI 134.86,33.4,136.99,36.33 9 6301 +proj=tmerc +lat_0=36 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30167 projected Tokyo / Japan Plane Rectangular CS VII 136.22,34.51,137.84,37.58 9 6301 +proj=tmerc +lat_0=36 +lon_0=137.166666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30168 projected Tokyo / Japan Plane Rectangular CS VIII 137.32,34.54,139.91,38.58 9 6301 +proj=tmerc +lat_0=36 +lon_0=138.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30169 projected Tokyo / Japan Plane Rectangular CS IX 138.4,29.31,141.11,37.98 9 6301 +proj=tmerc +lat_0=36 +lon_0=139.833333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30170 projected Tokyo / Japan Plane Rectangular CS X 139.49,37.73,142.14,41.58 9 6301 +proj=tmerc +lat_0=40 +lon_0=140.833333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30171 projected Tokyo / Japan Plane Rectangular CS XI 139.34,41.34,141.46,43.42 9 6301 +proj=tmerc +lat_0=44 +lon_0=140.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30172 projected Tokyo / Japan Plane Rectangular CS XII 140.89,42.15,143.61,45.54 9 6301 +proj=tmerc +lat_0=44 +lon_0=142.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30173 projected Tokyo / Japan Plane Rectangular CS XIII 142.61,41.87,145.87,44.4 9 6301 +proj=tmerc +lat_0=44 +lon_0=144.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30174 projected Tokyo / Japan Plane Rectangular CS XIV 141.2,24.67,142.33,27.8 9 6301 +proj=tmerc +lat_0=26 +lon_0=142 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30175 projected Tokyo / Japan Plane Rectangular CS XV 126.63,26.02,128.4,26.91 9 6301 +proj=tmerc +lat_0=26 +lon_0=127.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30176 projected Tokyo / Japan Plane Rectangular CS XVI 122.83,23.98,125.51,24.94 9 6301 +proj=tmerc +lat_0=26 +lon_0=124 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30177 projected Tokyo / Japan Plane Rectangular CS XVII 131.12,24.4,131.38,26.01 9 6301 +proj=tmerc +lat_0=26 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30178 projected Tokyo / Japan Plane Rectangular CS XVIII 136.02,20.37,136.16,20.48 9 6301 +proj=tmerc +lat_0=20 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30179 projected Tokyo / Japan Plane Rectangular CS XIX 153.91,24.22,154.05,24.35 9 6301 +proj=tmerc +lat_0=26 +lon_0=154 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +towgs84=-146.414,507.337,680.507 +units=m +no_defs +30200 projected Trinidad 1903 / Trinidad Grid -62.09,9.83,-60,11.51 2 6302 +proj=cass +lat_0=10.4416666666667 +lon_0=-61.3333333333333 +x_0=86501.46392052 +y_0=65379.0134283 +a=6378293.64520876 +b=6356617.98767984 +towgs84=-61.702,284.488,472.052 +to_meter=0.201166195164 +no_defs +30339 projected TC(1948) / UTM zone 39N 51.56,22.76,54.01,24.32 6303 +proj=utm +zone=39 +ellps=helmert +units=m +no_defs +30340 projected TC(1948) / UTM zone 40N 53.99,22.63,56.03,25.34 6303 +proj=utm +zone=40 +ellps=helmert +units=m +no_defs +30491 projected Voirol 1875 / Nord Algerie (ancienne) -2.22,34.64,8.64,37.14 6304 +proj=lcc +lat_1=36 +lat_0=36 +lon_0=2.7 +k_0=0.999625544 +x_0=500000 +y_0=300000 +ellps=clrk80ign +towgs84=-73,-247,227 +units=m +no_defs +30492 projected Voirol 1875 / Sud Algerie (ancienne) -2.95,31.99,9.09,34.66 6304 +proj=lcc +lat_1=33.3 +lat_0=33.3 +lon_0=2.7 +k_0=0.999625769 +x_0=500000 +y_0=300000 +ellps=clrk80ign +towgs84=-73,-247,227 +units=m +no_defs +30493 projected Voirol 1879 / Nord Algerie (ancienne) -2.22,34.64,8.64,37.14 6671 +proj=lcc +lat_1=36 +lat_0=36 +lon_0=2.7 +k_0=0.999625544 +x_0=500000 +y_0=300000 +ellps=clrk80ign +units=m +no_defs +30494 projected Voirol 1879 / Sud Algerie (ancienne) -2.95,31.99,9.09,34.66 6671 +proj=lcc +lat_1=33.3 +lat_0=33.3 +lon_0=2.7 +k_0=0.999625769 +x_0=500000 +y_0=300000 +ellps=clrk80ign +units=m +no_defs +30729 projected Nord Sahara 1959 / UTM zone 29N -8.67,25.73,-6,29.85 1 6307 +proj=utm +zone=29 +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +units=m +no_defs +30730 projected Nord Sahara 1959 / UTM zone 30N -6,21.82,0,37.01 1 6307 +proj=utm +zone=30 +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +units=m +no_defs +30731 projected Nord Sahara 1959 / UTM zone 31N 0,18.97,6.01,38.77 1 6307 +proj=utm +zone=31 +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +units=m +no_defs +30732 projected Nord Sahara 1959 / UTM zone 32N 6,19.6,11.99,38.8 1 6307 +proj=utm +zone=32 +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +units=m +no_defs +30791 projected Nord Sahara 1959 / Nord Algerie -2.22,34.64,8.64,37.14 1 6307 +proj=lcc +lat_1=36 +lat_0=36 +lon_0=2.7 +k_0=0.999625544 +x_0=500135 +y_0=300090 +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +units=m +no_defs +30792 projected Nord Sahara 1959 / Sud Algerie -3.85,31.49,9.22,34.66 1 6307 +proj=lcc +lat_1=33.3 +lat_0=33.3 +lon_0=2.7 +k_0=0.999625769 +x_0=500135 +y_0=300090 +a=6378249.145 +rf=293.465 +towgs84=-267.407,-47.068,446.357,-0.179423,5.577661,-1.27762,1.204866 +units=m +no_defs +31028 projected Yoff / UTM zone 28N -20.22,10.64,-11.36,16.7 5 6310 +proj=utm +zone=28 +ellps=clrk80ign +towgs84=-30,190,89 +units=m +no_defs +31121 projected Zanderij / UTM zone 21N -58.08,1.83,-52.66,9.35 11 6311 +proj=utm +zone=21 +ellps=intl +towgs84=-265,120,-358 +units=m +no_defs +31154 projected Zanderij / TM 54 NW -57.25,5.34,-52.66,9.35 11 6311 +proj=tmerc +lat_0=0 +lon_0=-54 +k=0.9996 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-265,120,-358 +units=m +no_defs +31170 projected Zanderij / Suriname Old TM -58.08,1.83,-53.95,6.06 11 6311 +proj=tmerc +lat_0=0 +lon_0=-55.6833333333333 +k=0.9996 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-265,120,-358 +units=m +no_defs +31171 projected Zanderij / Suriname TM -58.08,1.83,-53.95,6.06 11 6311 +proj=tmerc +lat_0=0 +lon_0=-55.6833333333333 +k=0.9999 +x_0=500000 +y_0=0 +ellps=intl +towgs84=-265,120,-358 +units=m +no_defs +31251 projected MGI (Ferro) / Austria GK West Zone 9.53,46.77,11.84,47.61 6805 +proj=tmerc +lat_0=0 +lon_0=28 +k=1 +x_0=0 +y_0=-5000000 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31252 projected MGI (Ferro) / Austria GK Central Zone 11.83,46.4,14.84,48.79 6805 +proj=tmerc +lat_0=0 +lon_0=31 +k=1 +x_0=0 +y_0=-5000000 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31253 projected MGI (Ferro) / Austria GK East Zone 14.83,46.56,17.17,49.02 6805 +proj=tmerc +lat_0=0 +lon_0=34 +k=1 +x_0=0 +y_0=-5000000 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31254 projected MGI / Austria GK West 9.53,46.77,11.84,47.61 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=10.3333333333333 +k=1 +x_0=0 +y_0=-5000000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31255 projected MGI / Austria GK Central 11.83,46.4,14.84,48.79 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=13.3333333333333 +k=1 +x_0=0 +y_0=-5000000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31256 projected MGI / Austria GK East 14.83,46.56,17.17,49.02 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=16.3333333333333 +k=1 +x_0=0 +y_0=-5000000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31257 projected MGI / Austria GK M28 9.53,46.77,11.84,47.61 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=10.3333333333333 +k=1 +x_0=150000 +y_0=-5000000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31258 projected MGI / Austria GK M31 11.83,46.4,14.84,48.79 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=13.3333333333333 +k=1 +x_0=450000 +y_0=-5000000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31259 projected MGI / Austria GK M34 14.83,46.56,17.17,49.02 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=16.3333333333333 +k=1 +x_0=750000 +y_0=-5000000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31281 projected MGI (Ferro) / Austria West Zone 9.53,46.77,11.84,47.61 6805 +proj=tmerc +lat_0=0 +lon_0=28 +k=1 +x_0=0 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31282 projected MGI (Ferro) / Austria Central Zone 11.83,46.4,14.84,48.79 6805 +proj=tmerc +lat_0=0 +lon_0=31 +k=1 +x_0=0 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31283 projected MGI (Ferro) / Austria East Zone 14.83,46.56,17.17,49.02 6805 +proj=tmerc +lat_0=0 +lon_0=34 +k=1 +x_0=0 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31284 projected MGI / Austria M28 9.53,46.77,11.84,47.61 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=10.3333333333333 +k=1 +x_0=150000 +y_0=0 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31285 projected MGI / Austria M31 11.83,46.4,14.84,48.79 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=13.3333333333333 +k=1 +x_0=450000 +y_0=0 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31286 projected MGI / Austria M34 14.83,46.56,17.17,49.02 1.5 6312 +proj=tmerc +lat_0=0 +lon_0=16.3333333333333 +k=1 +x_0=750000 +y_0=0 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31287 projected MGI / Austria Lambert 9.53,46.4,17.17,49.02 1.5 6312 +proj=lcc +lat_0=47.5 +lon_0=13.3333333333333 +lat_1=49 +lat_2=46 +x_0=400000 +y_0=400000 +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +units=m +no_defs +31288 projected MGI (Ferro) / Austria zone M28 9.53,46.77,11.84,47.61 6805 +proj=tmerc +lat_0=0 +lon_0=28 +k=1 +x_0=150000 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31289 projected MGI (Ferro) / Austria zone M31 11.83,46.4,14.84,48.79 6805 +proj=tmerc +lat_0=0 +lon_0=31 +k=1 +x_0=450000 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31290 projected MGI (Ferro) / Austria zone M34 14.83,46.56,17.17,49.02 6805 +proj=tmerc +lat_0=0 +lon_0=34 +k=1 +x_0=750000 +y_0=0 +ellps=bessel +pm=-17.6666666666667 +units=m +no_defs +31300 projected BD72 / Belge Lambert 72 2.5,49.5,6.4,51.51 1 6313 +proj=lcc +lat_0=90 +lon_0=4.35693972222222 +lat_1=49.8333333333333 +lat_2=51.1666666666667 +x_0=150000.01256 +y_0=5400088.4378 +ellps=intl +towgs84=-106.8686,52.2978,-103.7239,0.3366,-0.457,1.8422,-1.2747 +units=m +no_defs +31370 projected BD72 / Belgian Lambert 72 2.5,49.5,6.4,51.51 1 6313 +proj=lcc +lat_0=90 +lon_0=4.36748666666667 +lat_1=51.1666672333333 +lat_2=49.8333339 +x_0=150000.013 +y_0=5400088.438 +ellps=intl +towgs84=-106.8686,52.2978,-103.7239,0.3366,-0.457,1.8422,-1.2747 +units=m +no_defs +31466 projected DHDN / 3-degree Gauss-Kruger zone 2 5.86,49.11,7.51,53.81 3 6314 +proj=tmerc +lat_0=0 +lon_0=6 +k=1 +x_0=2500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +31467 projected DHDN / 3-degree Gauss-Kruger zone 3 7.5,47.27,10.51,55.09 3 6314 +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +31468 projected DHDN / 3-degree Gauss-Kruger zone 4 10.5,47.39,13.51,54.59 3 6314 +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +31469 projected DHDN / 3-degree Gauss-Kruger zone 5 13.5,48.51,13.84,48.98 3 6314 +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=bessel +towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7 +units=m +no_defs +31528 projected Conakry 1905 / UTM zone 28N -15.13,9.01,-12,12.68 30 6315 +proj=utm +zone=28 +ellps=clrk80ign +towgs84=-23,259,-9 +units=m +no_defs +31529 projected Conakry 1905 / UTM zone 29N -12,7.19,-7.65,12.51 30 6315 +proj=utm +zone=29 +ellps=clrk80ign +towgs84=-23,259,-9 +units=m +no_defs +31600 projected Dealul Piscului 1930 / Stereo 33 20.26,43.62,29.74,48.27 10 6316 +proj=sterea +lat_0=45.9 +lon_0=25.3924658888889 +k=0.9996667 +x_0=500000 +y_0=500000 +ellps=intl +towgs84=103.25,-100.4,-307.19 +units=m +no_defs +31838 projected NGN / UTM zone 38N 46.54,28.53,48,30.09 1 6318 +proj=utm +zone=38 +ellps=WGS84 +towgs84=-3.2,-5.7,2.8 +units=m +no_defs +31839 projected NGN / UTM zone 39N 48,28.54,48.48,30.04 1 6318 +proj=utm +zone=39 +ellps=WGS84 +towgs84=-3.2,-5.7,2.8 +units=m +no_defs +31901 projected KUDAMS / KTM 47.78,29.17,48.16,29.45 1 6319 +proj=tmerc +lat_0=0 +lon_0=48 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=226.702,-193.337,-35.371,-2.229,-4.391,9.238,0.9798 +units=m +no_defs +31965 projected SIRGAS 2000 / UTM zone 11N -120,15.01,-114,32.72 1 6674 +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31966 projected SIRGAS 2000 / UTM zone 12N -114,15.09,-108,32.27 1 6674 +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31967 projected SIRGAS 2000 / UTM zone 13N -108,14.05,-102,31.79 1 6674 +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31968 projected SIRGAS 2000 / UTM zone 14N -102.01,12.3,-96,29.81 1 6674 +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31969 projected SIRGAS 2000 / UTM zone 15N -96,0,-90,26 1 6674 +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31970 projected SIRGAS 2000 / UTM zone 16N -90,0,-83.99,25.77 1 6674 +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31971 projected SIRGAS 2000 / UTM zone 17N -84,0,-78,19.54 1 6674 +proj=utm +zone=17 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31972 projected SIRGAS 2000 / UTM zone 18N -78,0,-72,15.04 1 6674 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31973 projected SIRGAS 2000 / UTM zone 19N -72,0,-66,15.64 1 6674 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31974 projected SIRGAS 2000 / UTM zone 20N -66,0.64,-59.99,16.75 1 6674 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31975 projected SIRGAS 2000 / UTM zone 21N -60,1.18,-54,12.19 1 6674 +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31976 projected SIRGAS 2000 / UTM zone 22N -54,0,-47.99,9.24 1 6674 +proj=utm +zone=22 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31977 projected SIRGAS 2000 / UTM zone 17S -84,-56.45,-78,0 1 6674 +proj=utm +zone=17 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31978 projected SIRGAS 2000 / UTM zone 18S -78,-59.36,-71.99,0 1 6674 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31979 projected SIRGAS 2000 / UTM zone 19S -72,-59.87,-66,2.15 1 6674 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31980 projected SIRGAS 2000 / UTM zone 20S -66,-58.39,-60,5.28 1 6674 +proj=utm +zone=20 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31981 projected SIRGAS 2000 / UTM zone 21S -60,-44.82,-54,4.51 1 6674 +proj=utm +zone=21 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31982 projected SIRGAS 2000 / UTM zone 22S -54,-54.18,-47.99,7.04 1 6674 +proj=utm +zone=22 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31983 projected SIRGAS 2000 / UTM zone 23S -48,-33.5,-42,5.13 1 6674 +proj=utm +zone=23 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31984 projected SIRGAS 2000 / UTM zone 24S -42,-26.35,-36,0.74 1 6674 +proj=utm +zone=24 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31985 projected SIRGAS 2000 / UTM zone 25S -36,-23.8,-29.99,4.19 1 6674 +proj=utm +zone=25 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31986 projected SIRGAS 1995 / UTM zone 17N -84,0.9,-78,15.51 2 6170 +proj=utm +zone=17 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31987 projected SIRGAS 1995 / UTM zone 18N -78,0,-72,15.04 2 6170 +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31988 projected SIRGAS 1995 / UTM zone 19N -72,0,-66,15.64 2 6170 +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31989 projected SIRGAS 1995 / UTM zone 20N -66,0,-60,16.75 2 6170 +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31990 projected SIRGAS 1995 / UTM zone 21N -60,0,-54,10.7 2 6170 +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31991 projected SIRGAS 1995 / UTM zone 22N -54,0,-48,9.24 2 6170 +proj=utm +zone=22 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31992 projected SIRGAS 1995 / UTM zone 17S -84,-56.45,-75.21,1.45 2 6170 +proj=utm +zone=17 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31993 projected SIRGAS 1995 / UTM zone 18S -78,-59.36,-71.99,0 2 6170 +proj=utm +zone=18 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31994 projected SIRGAS 1995 / UTM zone 19S -72,-59.87,-66,0 2 6170 +proj=utm +zone=19 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31995 projected SIRGAS 1995 / UTM zone 20S -66,-58.39,-60,0 2 6170 +proj=utm +zone=20 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31996 projected SIRGAS 1995 / UTM zone 21S -60,-44.82,-54,0 2 6170 +proj=utm +zone=21 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31997 projected SIRGAS 1995 / UTM zone 22S -54,-39.95,-48,0 2 6170 +proj=utm +zone=22 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31998 projected SIRGAS 1995 / UTM zone 23S -48,-33.5,-42,0 2 6170 +proj=utm +zone=23 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +31999 projected SIRGAS 1995 / UTM zone 24S -42,-26.35,-36,0 2 6170 +proj=utm +zone=24 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32000 projected SIRGAS 1995 / UTM zone 25S -36,-20.11,-30,0 2 6170 +proj=utm +zone=25 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32001 projected NAD27 / Montana North -116.07,47.41,-104.04,49.01 7 6267 +proj=lcc +lat_0=47 +lon_0=-109.5 +lat_1=48.7166666666667 +lat_2=47.85 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32002 projected NAD27 / Montana Central -116.06,46.17,-104.04,48.26 7 6267 +proj=lcc +lat_0=45.8333333333333 +lon_0=-109.5 +lat_1=47.8833333333333 +lat_2=46.45 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32003 projected NAD27 / Montana South -114.57,44.35,-104.04,46.87 7 6267 +proj=lcc +lat_0=44 +lon_0=-109.5 +lat_1=46.4 +lat_2=44.8666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32005 projected NAD27 / Nebraska North -104.06,41.68,-96.07,43.01 7 6267 +proj=lcc +lat_0=41.3333333333333 +lon_0=-100 +lat_1=41.85 +lat_2=42.8166666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32006 projected NAD27 / Nebraska South -104.06,39.99,-95.3,42.01 7 6267 +proj=lcc +lat_0=39.6666666666667 +lon_0=-99.5 +lat_1=40.2833333333333 +lat_2=41.7166666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32007 projected NAD27 / Nevada East -117.01,34.99,-114.03,42 7 6267 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32008 projected NAD27 / Nevada Central -118.19,36,-114.99,41 7 6267 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32009 projected NAD27 / Nevada West -120,36.95,-116.99,42 7 6267 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32010 projected NAD27 / New Hampshire -72.56,42.69,-70.63,45.31 10 6267 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32011 projected NAD27 / New Jersey -75.6,38.87,-73.88,41.36 10 6267 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.6666666666667 +k=0.999975 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32012 projected NAD27 / New Mexico East -105.72,32,-102.99,37 7 6267 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32013 projected NAD27 / New Mexico Central -107.73,31.78,-104.83,37 7 6267 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32014 projected NAD27 / New Mexico West -109.06,31.33,-106.32,37 7 6267 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32015 projected NAD27 / New York East -75.87,40.88,-73.23,45.02 10 6267 +proj=tmerc +lat_0=40 +lon_0=-74.3333333333333 +k=0.999966667 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32016 projected NAD27 / New York Central -77.75,41.99,-75.06,44.41 10 6267 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32017 projected NAD27 / New York West -79.77,41.99,-77.36,43.64 10 6267 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32019 projected NAD27 / North Carolina -84.33,33.83,-75.38,36.59 10 6267 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=34.3333333333333 +lat_2=36.1666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32020 projected NAD27 / North Dakota North -104.07,47.15,-96.83,49.01 7 6267 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=47.4333333333333 +lat_2=48.7333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32021 projected NAD27 / North Dakota South -104.05,45.93,-96.55,47.83 7 6267 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=46.1833333333333 +lat_2=47.4833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32022 projected NAD27 / Ohio North -84.81,40.1,-80.51,42.33 10 6267 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=40.4333333333333 +lat_2=41.7 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32023 projected NAD27 / Ohio South -84.83,38.4,-80.7,40.36 10 6267 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=38.7333333333333 +lat_2=40.0333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32024 projected NAD27 / Oklahoma North -103,35.27,-94.42,37.01 7 6267 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=35.5666666666667 +lat_2=36.7666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32025 projected NAD27 / Oklahoma South -100,33.62,-94.42,35.57 7 6267 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=33.9333333333333 +lat_2=35.2333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32026 projected NAD27 / Oregon North -124.17,43.95,-116.47,46.26 7 6267 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=44.3333333333333 +lat_2=46 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32027 projected NAD27 / Oregon South -124.6,41.98,-116.9,44.56 7 6267 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=42.3333333333333 +lat_2=44 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32028 projected NAD27 / Pennsylvania North -80.53,40.6,-74.7,42.53 10 6267 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=40.8833333333333 +lat_2=41.95 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32030 projected NAD27 / Rhode Island -71.85,41.13,-71.08,42.02 10 6267 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.9999938 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32031 projected NAD27 / South Carolina North -83.36,33.46,-78.52,35.21 10 6267 +proj=lcc +lat_0=33 +lon_0=-81 +lat_1=33.7666666666667 +lat_2=34.9666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32033 projected NAD27 / South Carolina South -82.03,32.05,-78.95,33.95 10 6267 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=32.3333333333333 +lat_2=33.6666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32034 projected NAD27 / South Dakota North -104.07,44.14,-96.45,45.95 7 6267 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=44.4166666666667 +lat_2=45.6833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32035 projected NAD27 / South Dakota South -104.06,42.48,-96.43,44.79 7 6267 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=42.8333333333333 +lat_2=44.4 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32037 projected NAD27 / Texas North -103.03,34.3,-99.99,36.5 7 6267 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=34.65 +lat_2=36.1833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32038 projected NAD27 / Texas North Central -103.07,31.72,-94,34.58 7 6267 +proj=lcc +lat_0=31.6666666666667 +lon_0=-97.5 +lat_1=32.1333333333333 +lat_2=33.9666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32039 projected NAD27 / Texas Central -106.66,29.78,-93.5,32.27 7 6267 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=30.1166666666667 +lat_2=31.8833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32040 projected NAD27 / Texas South Central -105,27.78,-93.41,30.67 7 6267 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=28.3833333333333 +lat_2=30.2833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32041 projected NAD27 / Texas South -100.2,25.83,-95.36,28.21 7 6267 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=26.1666666666667 +lat_2=27.8333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32042 projected NAD27 / Utah North -114.04,40.55,-109.04,42.01 7 6267 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=40.7166666666667 +lat_2=41.7833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32043 projected NAD27 / Utah Central -114.05,38.49,-109.04,41.08 7 6267 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=39.0166666666667 +lat_2=40.65 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32044 projected NAD27 / Utah South -114.05,36.99,-109.04,38.58 7 6267 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=37.2166666666667 +lat_2=38.35 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32045 projected NAD27 / Vermont -73.44,42.72,-71.5,45.03 10 6267 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32046 projected NAD27 / Virginia North -80.06,37.77,-76.51,39.46 10 6267 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=38.0333333333333 +lat_2=39.2 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32047 projected NAD27 / Virginia South -83.68,36.54,-75.31,38.28 10 6267 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=36.7666666666667 +lat_2=37.9666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32048 projected NAD27 / Washington North -124.79,47.08,-117.02,49.05 7 6267 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=47.5 +lat_2=48.7333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32049 projected NAD27 / Washington South -124.4,45.54,-116.91,47.96 7 6267 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=45.8333333333333 +lat_2=47.3333333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32050 projected NAD27 / West Virginia North -81.76,38.76,-77.72,40.64 10 6267 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=39 +lat_2=40.25 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32051 projected NAD27 / West Virginia South -82.65,37.2,-79.05,39.17 10 6267 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=37.4833333333333 +lat_2=38.8833333333333 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32052 projected NAD27 / Wisconsin North -92.89,45.37,-88.05,47.31 10 6267 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=45.5666666666667 +lat_2=46.7666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32053 projected NAD27 / Wisconsin Central -92.89,43.98,-86.25,45.8 10 6267 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=44.25 +lat_2=45.5 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32054 projected NAD27 / Wisconsin South -91.43,42.48,-86.95,44.33 10 6267 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=42.7333333333333 +lat_2=44.0666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32055 projected NAD27 / Wyoming East -106.33,40.99,-104.05,45.01 7 6267 +proj=tmerc +lat_0=40.6666666666667 +lon_0=-105.166666666667 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32056 projected NAD27 / Wyoming East Central -108.63,40.99,-106,45.01 7 6267 +proj=tmerc +lat_0=40.6666666666667 +lon_0=-107.333333333333 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32057 projected NAD27 / Wyoming West Central -111.06,40.99,-107.5,45.01 7 6267 +proj=tmerc +lat_0=40.6666666666667 +lon_0=-108.75 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32058 projected NAD27 / Wyoming West -111.06,40.99,-109.04,44.67 7 6267 +proj=tmerc +lat_0=40.6666666666667 +lon_0=-110.083333333333 +k=0.999941177 +x_0=152400.30480061 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32064 projected NAD27 / BLM 14N (ftUS) -102,25.83,-95.87,49.01 7 6267 +proj=tmerc +lat_0=0 +lon_0=-99 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,159,175 +to_meter=0.304800609601219 +no_defs +32065 projected NAD27 / BLM 15N (ftUS) -96.01,25.61,-89.86,49.38 10 6267 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32066 projected NAD27 / BLM 16N (ftUS) -90.01,23.95,-83.91,48.32 10 6267 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32067 projected NAD27 / BLM 17N (ftUS) -84.09,23.81,-77.99,46.13 10 6267 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=clrk66 +towgs84=-8,160,176 +to_meter=0.304800609601219 +no_defs +32081 projected NAD27 / MTM zone 1 -54.5,46.56,-52.54,49.89 9 6267 +proj=tmerc +lat_0=0 +lon_0=-53 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +units=m +no_defs +32082 projected NAD27 / MTM zone 2 -57.5,46.81,-54.49,54.71 9 6267 +proj=tmerc +lat_0=0 +lon_0=-56 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +units=m +no_defs +32083 projected NAD27 / MTM zone 3 -59.48,47.5,-57.5,50.54 9 6267 +proj=tmerc +lat_0=0 +lon_0=-58.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +units=m +no_defs +32084 projected NAD27 / MTM zone 4 -63,52,-60,58.92 9 6267 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +units=m +no_defs +32085 projected NAD27 / MTM zone 5 -66,51.58,-63,60.52 8 6267 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=4,159,188 +units=m +no_defs +32086 projected NAD27 / MTM zone 6 -67.81,52.05,-66,55.34 8 6267 +proj=tmerc +lat_0=0 +lon_0=-67.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=clrk66 +towgs84=4,159,188 +units=m +no_defs +32098 projected NAD27 / Quebec Lambert -79.85,44.99,-57.1,62.62 9 6267 +proj=lcc +lat_0=44 +lon_0=-68.5 +lat_1=60 +lat_2=46 +x_0=0 +y_0=0 +ellps=clrk66 +towgs84=-22,160,190 +units=m +no_defs +32099 projected NAD27 / Louisiana Offshore -93.38,25.58,-86.53,29.35 8 6267 +proj=lcc +lat_0=25.6666666666667 +lon_0=-91.3333333333333 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=609601.219202438 +y_0=0 +ellps=clrk66 +towgs84=-7,158,172 +to_meter=0.304800609601219 +no_defs +32100 projected NAD83 / Montana -116.07,44.35,-104.04,49.01 4 6269 +proj=lcc +lat_0=44.25 +lon_0=-109.5 +lat_1=49 +lat_2=45 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32104 projected NAD83 / Nebraska -104.06,39.99,-95.3,43.01 4 6269 +proj=lcc +lat_0=39.8333333333333 +lon_0=-100 +lat_1=43 +lat_2=40 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32107 projected NAD83 / Nevada East -117.01,34.99,-114.03,42 4 6269 +proj=tmerc +lat_0=34.75 +lon_0=-115.583333333333 +k=0.9999 +x_0=200000 +y_0=8000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32108 projected NAD83 / Nevada Central -118.19,36,-114.99,41 4 6269 +proj=tmerc +lat_0=34.75 +lon_0=-116.666666666667 +k=0.9999 +x_0=500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32109 projected NAD83 / Nevada West -120,36.95,-116.99,42 4 6269 +proj=tmerc +lat_0=34.75 +lon_0=-118.583333333333 +k=0.9999 +x_0=800000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32110 projected NAD83 / New Hampshire -72.56,42.69,-70.63,45.31 4 6269 +proj=tmerc +lat_0=42.5 +lon_0=-71.6666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32111 projected NAD83 / New Jersey -75.6,38.87,-73.88,41.36 4 6269 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32112 projected NAD83 / New Mexico East -105.72,32,-102.99,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-104.333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32113 projected NAD83 / New Mexico Central -107.73,31.78,-104.84,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32114 projected NAD83 / New Mexico West -109.06,31.33,-106.32,37 4 6269 +proj=tmerc +lat_0=31 +lon_0=-107.833333333333 +k=0.999916667 +x_0=830000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32115 projected NAD83 / New York East -75.87,40.88,-73.23,45.02 4 6269 +proj=tmerc +lat_0=38.8333333333333 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32116 projected NAD83 / New York Central -77.75,41.99,-75.06,44.41 4 6269 +proj=tmerc +lat_0=40 +lon_0=-76.5833333333333 +k=0.9999375 +x_0=250000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32117 projected NAD83 / New York West -79.77,41.99,-77.36,43.64 4 6269 +proj=tmerc +lat_0=40 +lon_0=-78.5833333333333 +k=0.9999375 +x_0=350000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32118 projected NAD83 / New York Long Island -74.26,40.47,-71.8,41.3 4 6269 +proj=lcc +lat_0=40.1666666666667 +lon_0=-74 +lat_1=41.0333333333333 +lat_2=40.6666666666667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32119 projected NAD83 / North Carolina -84.33,33.83,-75.38,36.59 4 6269 +proj=lcc +lat_0=33.75 +lon_0=-79 +lat_1=36.1666666666667 +lat_2=34.3333333333333 +x_0=609601.22 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32120 projected NAD83 / North Dakota North -104.07,47.15,-96.83,49.01 4 6269 +proj=lcc +lat_0=47 +lon_0=-100.5 +lat_1=48.7333333333333 +lat_2=47.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32121 projected NAD83 / North Dakota South -104.05,45.93,-96.55,47.83 4 6269 +proj=lcc +lat_0=45.6666666666667 +lon_0=-100.5 +lat_1=47.4833333333333 +lat_2=46.1833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32122 projected NAD83 / Ohio North -84.81,40.1,-80.51,42.33 4 6269 +proj=lcc +lat_0=39.6666666666667 +lon_0=-82.5 +lat_1=41.7 +lat_2=40.4333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32123 projected NAD83 / Ohio South -84.83,38.4,-80.7,40.36 4 6269 +proj=lcc +lat_0=38 +lon_0=-82.5 +lat_1=40.0333333333333 +lat_2=38.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32124 projected NAD83 / Oklahoma North -103,35.27,-94.42,37.01 4 6269 +proj=lcc +lat_0=35 +lon_0=-98 +lat_1=36.7666666666667 +lat_2=35.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32125 projected NAD83 / Oklahoma South -100,33.62,-94.42,35.57 4 6269 +proj=lcc +lat_0=33.3333333333333 +lon_0=-98 +lat_1=35.2333333333333 +lat_2=33.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32126 projected NAD83 / Oregon North -124.17,43.95,-116.47,46.26 4 6269 +proj=lcc +lat_0=43.6666666666667 +lon_0=-120.5 +lat_1=46 +lat_2=44.3333333333333 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32127 projected NAD83 / Oregon South -124.6,41.98,-116.9,44.56 4 6269 +proj=lcc +lat_0=41.6666666666667 +lon_0=-120.5 +lat_1=44 +lat_2=42.3333333333333 +x_0=1500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32128 projected NAD83 / Pennsylvania North -80.53,40.6,-74.7,42.53 4 6269 +proj=lcc +lat_0=40.1666666666667 +lon_0=-77.75 +lat_1=41.95 +lat_2=40.8833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32129 projected NAD83 / Pennsylvania South -80.53,39.71,-74.72,41.18 4 6269 +proj=lcc +lat_0=39.3333333333333 +lon_0=-77.75 +lat_1=40.9666666666667 +lat_2=39.9333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32130 projected NAD83 / Rhode Island -71.85,41.13,-71.08,42.02 4 6269 +proj=tmerc +lat_0=41.0833333333333 +lon_0=-71.5 +k=0.99999375 +x_0=100000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32133 projected NAD83 / South Carolina -83.36,32.05,-78.52,35.21 4 6269 +proj=lcc +lat_0=31.8333333333333 +lon_0=-81 +lat_1=34.8333333333333 +lat_2=32.5 +x_0=609600 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32134 projected NAD83 / South Dakota North -104.07,44.14,-96.45,45.95 4 6269 +proj=lcc +lat_0=43.8333333333333 +lon_0=-100 +lat_1=45.6833333333333 +lat_2=44.4166666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32135 projected NAD83 / South Dakota South -104.06,42.48,-96.43,44.79 4 6269 +proj=lcc +lat_0=42.3333333333333 +lon_0=-100.333333333333 +lat_1=44.4 +lat_2=42.8333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32136 projected NAD83 / Tennessee -90.31,34.98,-81.65,36.68 4 6269 +proj=lcc +lat_0=34.3333333333333 +lon_0=-86 +lat_1=36.4166666666667 +lat_2=35.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32137 projected NAD83 / Texas North -103.03,34.3,-99.99,36.5 4 6269 +proj=lcc +lat_0=34 +lon_0=-101.5 +lat_1=36.1833333333333 +lat_2=34.65 +x_0=200000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32138 projected NAD83 / Texas North Central -103.07,31.72,-94,34.58 4 6269 +proj=lcc +lat_0=31.6666666666667 +lon_0=-98.5 +lat_1=33.9666666666667 +lat_2=32.1333333333333 +x_0=600000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32139 projected NAD83 / Texas Central -106.66,29.78,-93.5,32.27 4 6269 +proj=lcc +lat_0=29.6666666666667 +lon_0=-100.333333333333 +lat_1=31.8833333333333 +lat_2=30.1166666666667 +x_0=700000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32140 projected NAD83 / Texas South Central -105,27.78,-93.76,30.67 4 6269 +proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=30.2833333333333 +lat_2=28.3833333333333 +x_0=600000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32141 projected NAD83 / Texas South -100.2,25.83,-96.85,28.21 4 6269 +proj=lcc +lat_0=25.6666666666667 +lon_0=-98.5 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=300000 +y_0=5000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32142 projected NAD83 / Utah North -114.04,40.55,-109.04,42.01 4 6269 +proj=lcc +lat_0=40.3333333333333 +lon_0=-111.5 +lat_1=41.7833333333333 +lat_2=40.7166666666667 +x_0=500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32143 projected NAD83 / Utah Central -114.05,38.49,-109.04,41.08 4 6269 +proj=lcc +lat_0=38.3333333333333 +lon_0=-111.5 +lat_1=40.65 +lat_2=39.0166666666667 +x_0=500000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32144 projected NAD83 / Utah South -114.05,36.99,-109.04,38.58 4 6269 +proj=lcc +lat_0=36.6666666666667 +lon_0=-111.5 +lat_1=38.35 +lat_2=37.2166666666667 +x_0=500000 +y_0=3000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32145 projected NAD83 / Vermont -73.44,42.72,-71.5,45.03 4 6269 +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32146 projected NAD83 / Virginia North -80.06,37.77,-76.51,39.46 4 6269 +proj=lcc +lat_0=37.6666666666667 +lon_0=-78.5 +lat_1=39.2 +lat_2=38.0333333333333 +x_0=3500000 +y_0=2000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32147 projected NAD83 / Virginia South -83.68,36.54,-75.31,38.28 4 6269 +proj=lcc +lat_0=36.3333333333333 +lon_0=-78.5 +lat_1=37.9666666666667 +lat_2=36.7666666666667 +x_0=3500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32148 projected NAD83 / Washington North -124.79,47.08,-117.02,49.05 4 6269 +proj=lcc +lat_0=47 +lon_0=-120.833333333333 +lat_1=48.7333333333333 +lat_2=47.5 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32149 projected NAD83 / Washington South -124.4,45.54,-116.91,47.61 4 6269 +proj=lcc +lat_0=45.3333333333333 +lon_0=-120.5 +lat_1=47.3333333333333 +lat_2=45.8333333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32150 projected NAD83 / West Virginia North -81.76,38.76,-77.72,40.64 4 6269 +proj=lcc +lat_0=38.5 +lon_0=-79.5 +lat_1=40.25 +lat_2=39 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32151 projected NAD83 / West Virginia South -82.65,37.2,-79.05,39.17 4 6269 +proj=lcc +lat_0=37 +lon_0=-81 +lat_1=38.8833333333333 +lat_2=37.4833333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32152 projected NAD83 / Wisconsin North -92.89,45.37,-88.05,47.31 4 6269 +proj=lcc +lat_0=45.1666666666667 +lon_0=-90 +lat_1=46.7666666666667 +lat_2=45.5666666666667 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32153 projected NAD83 / Wisconsin Central -92.89,43.98,-86.25,45.8 4 6269 +proj=lcc +lat_0=43.8333333333333 +lon_0=-90 +lat_1=45.5 +lat_2=44.25 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32154 projected NAD83 / Wisconsin South -91.43,42.48,-86.95,44.33 4 6269 +proj=lcc +lat_0=42 +lon_0=-90 +lat_1=44.0666666666667 +lat_2=42.7333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32155 projected NAD83 / Wyoming East -106.33,40.99,-104.05,45.01 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-105.166666666667 +k=0.9999375 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32156 projected NAD83 / Wyoming East Central -108.63,40.99,-106,45.01 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-107.333333333333 +k=0.9999375 +x_0=400000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32157 projected NAD83 / Wyoming West Central -111.06,40.99,-107.5,45.01 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32158 projected NAD83 / Wyoming West -111.06,40.99,-109.04,44.67 4 6269 +proj=tmerc +lat_0=40.5 +lon_0=-110.083333333333 +k=0.9999375 +x_0=800000 +y_0=100000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32159 projected NAD83 / Wyoming Lambert -111.06,40.99,-104.05,45.01 4 6269 +proj=lcc +lat_0=41 +lon_0=-107.5 +lat_1=41 +lat_2=45 +x_0=500000 +y_0=200000 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32161 projected NAD83 / Puerto Rico & Virgin Is. -68.49,14.92,-63.88,21.86 6269 +proj=lcc +lat_0=17.8333333333333 +lon_0=-66.4333333333333 +lat_1=18.4333333333333 +lat_2=18.0333333333333 +x_0=200000 +y_0=200000 +ellps=GRS80 +units=m +no_defs +32164 projected NAD83 / BLM 14N (ftUS) -102,25.83,-95.87,49.01 4 6269 +proj=tmerc +lat_0=0 +lon_0=-99 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +32165 projected NAD83 / BLM 15N (ftUS) -96.01,25.61,-89.86,49.38 4 6269 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +32166 projected NAD83 / BLM 16N (ftUS) -90.01,23.95,-83.91,48.32 4 6269 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +32167 projected NAD83 / BLM 17N (ftUS) -84.09,23.81,-77.99,46.13 4 6269 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9996 +x_0=500000.001016002 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +to_meter=0.304800609601219 +no_defs +32181 projected NAD83 / MTM zone 1 -54.5,46.56,-52.54,49.89 4 6269 +proj=tmerc +lat_0=0 +lon_0=-53 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32182 projected NAD83 / MTM zone 2 -57.5,46.81,-54.49,54.71 4 6269 +proj=tmerc +lat_0=0 +lon_0=-56 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32183 projected NAD83 / MTM zone 3 -60,47.5,-57.1,55.38 4 6269 +proj=tmerc +lat_0=0 +lon_0=-58.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32184 projected NAD83 / MTM zone 4 -63,47.16,-60,58.92 4 6269 +proj=tmerc +lat_0=0 +lon_0=-61.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32185 projected NAD83 / MTM zone 5 -66,47.95,-63,60.52 4 6269 +proj=tmerc +lat_0=0 +lon_0=-64.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32186 projected NAD83 / MTM zone 6 -69,47.31,-66,59 4 6269 +proj=tmerc +lat_0=0 +lon_0=-67.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32187 projected NAD83 / MTM zone 7 -72,45.01,-69,61.8 4 6269 +proj=tmerc +lat_0=0 +lon_0=-70.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32188 projected NAD83 / MTM zone 8 -75,44.98,-72,62.53 4 6269 +proj=tmerc +lat_0=0 +lon_0=-73.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32189 projected NAD83 / MTM zone 9 -78,43.63,-75,62.65 4 6269 +proj=tmerc +lat_0=0 +lon_0=-76.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32190 projected NAD83 / MTM zone 10 -81,42.26,-78,62.45 4 6269 +proj=tmerc +lat_0=0 +lon_0=-79.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32191 projected NAD83 / MTM zone 11 -83.6,41.67,-81,46 4 6269 +proj=tmerc +lat_0=0 +lon_0=-82.5 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32192 projected NAD83 / MTM zone 12 -82.5,46,-79.5,55.21 4 6269 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32193 projected NAD83 / MTM zone 13 -85.5,46,-82.5,55.59 4 6269 +proj=tmerc +lat_0=0 +lon_0=-84 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32194 projected NAD83 / MTM zone 14 -88.5,47.17,-85.5,56.7 4 6269 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32195 projected NAD83 / MTM zone 15 -91.5,47.97,-88.5,56.9 4 6269 +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32196 projected NAD83 / MTM zone 16 -94.5,48.06,-91.5,55.2 4 6269 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32197 projected NAD83 / MTM zone 17 -95.16,48.69,-94.5,53.24 4 6269 +proj=tmerc +lat_0=0 +lon_0=-96 +k=0.9999 +x_0=304800 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32198 projected NAD83 / Quebec Lambert -79.85,44.99,-57.1,62.62 4 6269 +proj=lcc +lat_0=44 +lon_0=-68.5 +lat_1=60 +lat_2=46 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32199 projected NAD83 / Louisiana Offshore -93.38,25.58,-86.53,29.35 4 6269 +proj=lcc +lat_0=25.5 +lon_0=-91.3333333333333 +lat_1=27.8333333333333 +lat_2=26.1666666666667 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +32201 projected WGS 72 / UTM zone 1N -180,0,-174,84 2 6322 +proj=utm +zone=1 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32202 projected WGS 72 / UTM zone 2N -174,0,-168,84 2 6322 +proj=utm +zone=2 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32203 projected WGS 72 / UTM zone 3N -168,0,-162,84 2 6322 +proj=utm +zone=3 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32204 projected WGS 72 / UTM zone 4N -162,0,-156,84 2 6322 +proj=utm +zone=4 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32205 projected WGS 72 / UTM zone 5N -156,0,-150,84 2 6322 +proj=utm +zone=5 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32206 projected WGS 72 / UTM zone 6N -150,0,-144,84 2 6322 +proj=utm +zone=6 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32207 projected WGS 72 / UTM zone 7N -144,0,-138,84 2 6322 +proj=utm +zone=7 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32208 projected WGS 72 / UTM zone 8N -138,0,-132,84 2 6322 +proj=utm +zone=8 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32209 projected WGS 72 / UTM zone 9N -132,0,-126,84 2 6322 +proj=utm +zone=9 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32210 projected WGS 72 / UTM zone 10N -126,0,-120,84 2 6322 +proj=utm +zone=10 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32211 projected WGS 72 / UTM zone 11N -120,0,-114,84 2 6322 +proj=utm +zone=11 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32212 projected WGS 72 / UTM zone 12N -114,0,-108,84 2 6322 +proj=utm +zone=12 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32213 projected WGS 72 / UTM zone 13N -108,0,-102,84 2 6322 +proj=utm +zone=13 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32214 projected WGS 72 / UTM zone 14N -102,0,-96,84 2 6322 +proj=utm +zone=14 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32215 projected WGS 72 / UTM zone 15N -96,0,-90,84 2 6322 +proj=utm +zone=15 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32216 projected WGS 72 / UTM zone 16N -90,0,-84,84 2 6322 +proj=utm +zone=16 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32217 projected WGS 72 / UTM zone 17N -84,0,-78,84 2 6322 +proj=utm +zone=17 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32218 projected WGS 72 / UTM zone 18N -78,0,-72,84 2 6322 +proj=utm +zone=18 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32219 projected WGS 72 / UTM zone 19N -72,0,-66,84 2 6322 +proj=utm +zone=19 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32220 projected WGS 72 / UTM zone 20N -66,0,-60,84 2 6322 +proj=utm +zone=20 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32221 projected WGS 72 / UTM zone 21N -60,0,-54,84 2 6322 +proj=utm +zone=21 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32222 projected WGS 72 / UTM zone 22N -54,0,-48,84 2 6322 +proj=utm +zone=22 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32223 projected WGS 72 / UTM zone 23N -48,0,-42,84 2 6322 +proj=utm +zone=23 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32224 projected WGS 72 / UTM zone 24N -42,0,-36,84 2 6322 +proj=utm +zone=24 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32225 projected WGS 72 / UTM zone 25N -36,0,-30,84 2 6322 +proj=utm +zone=25 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32226 projected WGS 72 / UTM zone 26N -30,0,-24,84 2 6322 +proj=utm +zone=26 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32227 projected WGS 72 / UTM zone 27N -24,0,-18,84 2 6322 +proj=utm +zone=27 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32228 projected WGS 72 / UTM zone 28N -18,0,-12,84 2 6322 +proj=utm +zone=28 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32229 projected WGS 72 / UTM zone 29N -12,0,-6,84 2 6322 +proj=utm +zone=29 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32230 projected WGS 72 / UTM zone 30N -6,0,0,84 2 6322 +proj=utm +zone=30 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32231 projected WGS 72 / UTM zone 31N 0,0,6,84 2 6322 +proj=utm +zone=31 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32232 projected WGS 72 / UTM zone 32N 6,0,12,84 2 6322 +proj=utm +zone=32 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32233 projected WGS 72 / UTM zone 33N 12,0,18,84 2 6322 +proj=utm +zone=33 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32234 projected WGS 72 / UTM zone 34N 18,0,24,84 2 6322 +proj=utm +zone=34 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32235 projected WGS 72 / UTM zone 35N 24,0,30,84 2 6322 +proj=utm +zone=35 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32236 projected WGS 72 / UTM zone 36N 30,0,36,84 2 6322 +proj=utm +zone=36 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32237 projected WGS 72 / UTM zone 37N 36,0,42,84 2 6322 +proj=utm +zone=37 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32238 projected WGS 72 / UTM zone 38N 42,0,48,84 2 6322 +proj=utm +zone=38 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32239 projected WGS 72 / UTM zone 39N 48,0,54,84 2 6322 +proj=utm +zone=39 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32240 projected WGS 72 / UTM zone 40N 54,0,60,84 2 6322 +proj=utm +zone=40 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32241 projected WGS 72 / UTM zone 41N 60,0,66,84 2 6322 +proj=utm +zone=41 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32242 projected WGS 72 / UTM zone 42N 66,0,72,84 2 6322 +proj=utm +zone=42 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32243 projected WGS 72 / UTM zone 43N 72,0,78,84 2 6322 +proj=utm +zone=43 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32244 projected WGS 72 / UTM zone 44N 78,0,84,84 2 6322 +proj=utm +zone=44 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32245 projected WGS 72 / UTM zone 45N 84,0,90,84 2 6322 +proj=utm +zone=45 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32246 projected WGS 72 / UTM zone 46N 90,0,96,84 2 6322 +proj=utm +zone=46 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32247 projected WGS 72 / UTM zone 47N 96,0,102,84 2 6322 +proj=utm +zone=47 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32248 projected WGS 72 / UTM zone 48N 102,0,108,84 2 6322 +proj=utm +zone=48 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32249 projected WGS 72 / UTM zone 49N 108,0,114,84 2 6322 +proj=utm +zone=49 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32250 projected WGS 72 / UTM zone 50N 114,0,120,84 2 6322 +proj=utm +zone=50 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32251 projected WGS 72 / UTM zone 51N 120,0,126,84 2 6322 +proj=utm +zone=51 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32252 projected WGS 72 / UTM zone 52N 126,0,132,84 2 6322 +proj=utm +zone=52 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32253 projected WGS 72 / UTM zone 53N 132,0,138,84 2 6322 +proj=utm +zone=53 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32254 projected WGS 72 / UTM zone 54N 138,0,144,84 2 6322 +proj=utm +zone=54 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32255 projected WGS 72 / UTM zone 55N 144,0,150,84 2 6322 +proj=utm +zone=55 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32256 projected WGS 72 / UTM zone 56N 150,0,156,84 2 6322 +proj=utm +zone=56 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32257 projected WGS 72 / UTM zone 57N 156,0,162,84 2 6322 +proj=utm +zone=57 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32258 projected WGS 72 / UTM zone 58N 162,0,168,84 2 6322 +proj=utm +zone=58 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32259 projected WGS 72 / UTM zone 59N 168,0,174,84 2 6322 +proj=utm +zone=59 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32260 projected WGS 72 / UTM zone 60N 174,0,180,84 2 6322 +proj=utm +zone=60 +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32301 projected WGS 72 / UTM zone 1S -180,-80,-174,0 2 6322 +proj=utm +zone=1 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32302 projected WGS 72 / UTM zone 2S -174,-80,-168,0 2 6322 +proj=utm +zone=2 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32303 projected WGS 72 / UTM zone 3S -168,-80,-162,0 2 6322 +proj=utm +zone=3 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32304 projected WGS 72 / UTM zone 4S -162,-80,-156,0 2 6322 +proj=utm +zone=4 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32305 projected WGS 72 / UTM zone 5S -156,-80,-150,0 2 6322 +proj=utm +zone=5 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32306 projected WGS 72 / UTM zone 6S -150,-80,-144,0 2 6322 +proj=utm +zone=6 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32307 projected WGS 72 / UTM zone 7S -144,-80,-138,0 2 6322 +proj=utm +zone=7 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32308 projected WGS 72 / UTM zone 8S -138,-80,-132,0 2 6322 +proj=utm +zone=8 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32309 projected WGS 72 / UTM zone 9S -132,-80,-126,0 2 6322 +proj=utm +zone=9 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32310 projected WGS 72 / UTM zone 10S -126,-80,-120,0 2 6322 +proj=utm +zone=10 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32311 projected WGS 72 / UTM zone 11S -120,-80,-114,0 2 6322 +proj=utm +zone=11 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32312 projected WGS 72 / UTM zone 12S -114,-80,-108,0 2 6322 +proj=utm +zone=12 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32313 projected WGS 72 / UTM zone 13S -108,-80,-102,0 2 6322 +proj=utm +zone=13 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32314 projected WGS 72 / UTM zone 14S -102,-80,-96,0 2 6322 +proj=utm +zone=14 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32315 projected WGS 72 / UTM zone 15S -96,-80,-90,0 2 6322 +proj=utm +zone=15 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32316 projected WGS 72 / UTM zone 16S -90,-80,-84,0 2 6322 +proj=utm +zone=16 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32317 projected WGS 72 / UTM zone 17S -84,-80,-78,0 2 6322 +proj=utm +zone=17 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32318 projected WGS 72 / UTM zone 18S -78,-80,-72,0 2 6322 +proj=utm +zone=18 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32319 projected WGS 72 / UTM zone 19S -72,-80,-66,0 2 6322 +proj=utm +zone=19 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32320 projected WGS 72 / UTM zone 20S -66,-80,-60,0 2 6322 +proj=utm +zone=20 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32321 projected WGS 72 / UTM zone 21S -60,-80,-54,0 2 6322 +proj=utm +zone=21 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32322 projected WGS 72 / UTM zone 22S -54,-80,-48,0 2 6322 +proj=utm +zone=22 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32323 projected WGS 72 / UTM zone 23S -48,-80,-42,0 2 6322 +proj=utm +zone=23 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32324 projected WGS 72 / UTM zone 24S -42,-80,-36,0 2 6322 +proj=utm +zone=24 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32325 projected WGS 72 / UTM zone 25S -36,-80,-30,0 2 6322 +proj=utm +zone=25 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32326 projected WGS 72 / UTM zone 26S -30,-80,-24,0 2 6322 +proj=utm +zone=26 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32327 projected WGS 72 / UTM zone 27S -24,-80,-18,0 2 6322 +proj=utm +zone=27 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32328 projected WGS 72 / UTM zone 28S -18,-80,-12,0 2 6322 +proj=utm +zone=28 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32329 projected WGS 72 / UTM zone 29S -12,-80,-6,0 2 6322 +proj=utm +zone=29 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32330 projected WGS 72 / UTM zone 30S -6,-80,0,0 2 6322 +proj=utm +zone=30 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32331 projected WGS 72 / UTM zone 31S 0,-80,6,0 2 6322 +proj=utm +zone=31 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32332 projected WGS 72 / UTM zone 32S 6,-80,12,0 2 6322 +proj=utm +zone=32 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32333 projected WGS 72 / UTM zone 33S 12,-80,18,0 2 6322 +proj=utm +zone=33 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32334 projected WGS 72 / UTM zone 34S 18,-80,24,0 2 6322 +proj=utm +zone=34 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32335 projected WGS 72 / UTM zone 35S 24,-80,30,0 2 6322 +proj=utm +zone=35 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32336 projected WGS 72 / UTM zone 36S 30,-80,36,0 2 6322 +proj=utm +zone=36 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32337 projected WGS 72 / UTM zone 37S 36,-80,42,0 2 6322 +proj=utm +zone=37 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32338 projected WGS 72 / UTM zone 38S 42,-80,48,0 2 6322 +proj=utm +zone=38 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32339 projected WGS 72 / UTM zone 39S 48,-80,54,0 2 6322 +proj=utm +zone=39 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32340 projected WGS 72 / UTM zone 40S 54,-80,60,0 2 6322 +proj=utm +zone=40 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32341 projected WGS 72 / UTM zone 41S 60,-80,66,0 2 6322 +proj=utm +zone=41 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32342 projected WGS 72 / UTM zone 42S 66,-80,72,0 2 6322 +proj=utm +zone=42 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32343 projected WGS 72 / UTM zone 43S 72,-80,78,0 2 6322 +proj=utm +zone=43 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32344 projected WGS 72 / UTM zone 44S 78,-80,84,0 2 6322 +proj=utm +zone=44 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32345 projected WGS 72 / UTM zone 45S 84,-80,90,0 2 6322 +proj=utm +zone=45 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32346 projected WGS 72 / UTM zone 46S 90,-80,96,0 2 6322 +proj=utm +zone=46 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32347 projected WGS 72 / UTM zone 47S 96,-80,102,0 2 6322 +proj=utm +zone=47 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32348 projected WGS 72 / UTM zone 48S 102,-80,108,0 2 6322 +proj=utm +zone=48 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32349 projected WGS 72 / UTM zone 49S 108,-80,114,0 2 6322 +proj=utm +zone=49 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32350 projected WGS 72 / UTM zone 50S 114,-80,120,0 2 6322 +proj=utm +zone=50 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32351 projected WGS 72 / UTM zone 51S 120,-80,126,0 2 6322 +proj=utm +zone=51 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32352 projected WGS 72 / UTM zone 52S 126,-80,132,0 2 6322 +proj=utm +zone=52 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32353 projected WGS 72 / UTM zone 53S 132,-80,138,0 2 6322 +proj=utm +zone=53 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32354 projected WGS 72 / UTM zone 54S 138,-80,144,0 2 6322 +proj=utm +zone=54 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32355 projected WGS 72 / UTM zone 55S 144,-80,150,0 2 6322 +proj=utm +zone=55 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32356 projected WGS 72 / UTM zone 56S 150,-80,156,0 2 6322 +proj=utm +zone=56 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32357 projected WGS 72 / UTM zone 57S 156,-80,162,0 2 6322 +proj=utm +zone=57 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32358 projected WGS 72 / UTM zone 58S 162,-80,168,0 2 6322 +proj=utm +zone=58 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32359 projected WGS 72 / UTM zone 59S 168,-80,174,0 2 6322 +proj=utm +zone=59 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32360 projected WGS 72 / UTM zone 60S 174,-80,180,0 2 6322 +proj=utm +zone=60 +south +ellps=WGS72 +towgs84=0,0,4.5,0,0,0.554,0.219 +units=m +no_defs +32401 projected WGS 72BE / UTM zone 1N -180,0,-174,84 2 6324 +proj=utm +zone=1 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32402 projected WGS 72BE / UTM zone 2N -174,0,-168,84 2 6324 +proj=utm +zone=2 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32403 projected WGS 72BE / UTM zone 3N -168,0,-162,84 2 6324 +proj=utm +zone=3 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32404 projected WGS 72BE / UTM zone 4N -162,0,-156,84 2 6324 +proj=utm +zone=4 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32405 projected WGS 72BE / UTM zone 5N -156,0,-150,84 2 6324 +proj=utm +zone=5 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32406 projected WGS 72BE / UTM zone 6N -150,0,-144,84 2 6324 +proj=utm +zone=6 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32407 projected WGS 72BE / UTM zone 7N -144,0,-138,84 2 6324 +proj=utm +zone=7 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32408 projected WGS 72BE / UTM zone 8N -138,0,-132,84 2 6324 +proj=utm +zone=8 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32409 projected WGS 72BE / UTM zone 9N -132,0,-126,84 2 6324 +proj=utm +zone=9 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32410 projected WGS 72BE / UTM zone 10N -126,0,-120,84 2 6324 +proj=utm +zone=10 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32411 projected WGS 72BE / UTM zone 11N -120,0,-114,84 2 6324 +proj=utm +zone=11 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32412 projected WGS 72BE / UTM zone 12N -114,0,-108,84 2 6324 +proj=utm +zone=12 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32413 projected WGS 72BE / UTM zone 13N -108,0,-102,84 2 6324 +proj=utm +zone=13 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32414 projected WGS 72BE / UTM zone 14N -102,0,-96,84 2 6324 +proj=utm +zone=14 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32415 projected WGS 72BE / UTM zone 15N -96,0,-90,84 2 6324 +proj=utm +zone=15 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32416 projected WGS 72BE / UTM zone 16N -90,0,-84,84 2 6324 +proj=utm +zone=16 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32417 projected WGS 72BE / UTM zone 17N -84,0,-78,84 2 6324 +proj=utm +zone=17 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32418 projected WGS 72BE / UTM zone 18N -78,0,-72,84 2 6324 +proj=utm +zone=18 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32419 projected WGS 72BE / UTM zone 19N -72,0,-66,84 2 6324 +proj=utm +zone=19 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32420 projected WGS 72BE / UTM zone 20N -66,0,-60,84 2 6324 +proj=utm +zone=20 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32421 projected WGS 72BE / UTM zone 21N -60,0,-54,84 2 6324 +proj=utm +zone=21 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32422 projected WGS 72BE / UTM zone 22N -54,0,-48,84 2 6324 +proj=utm +zone=22 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32423 projected WGS 72BE / UTM zone 23N -48,0,-42,84 2 6324 +proj=utm +zone=23 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32424 projected WGS 72BE / UTM zone 24N -42,0,-36,84 2 6324 +proj=utm +zone=24 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32425 projected WGS 72BE / UTM zone 25N -36,0,-30,84 2 6324 +proj=utm +zone=25 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32426 projected WGS 72BE / UTM zone 26N -30,0,-24,84 2 6324 +proj=utm +zone=26 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32427 projected WGS 72BE / UTM zone 27N -24,0,-18,84 2 6324 +proj=utm +zone=27 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32428 projected WGS 72BE / UTM zone 28N -18,0,-12,84 2 6324 +proj=utm +zone=28 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32429 projected WGS 72BE / UTM zone 29N -12,0,-6,84 2 6324 +proj=utm +zone=29 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32430 projected WGS 72BE / UTM zone 30N -6,0,0,84 2 6324 +proj=utm +zone=30 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32431 projected WGS 72BE / UTM zone 31N 0,0,6,84 2 6324 +proj=utm +zone=31 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32432 projected WGS 72BE / UTM zone 32N 6,0,12,84 2 6324 +proj=utm +zone=32 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32433 projected WGS 72BE / UTM zone 33N 12,0,18,84 2 6324 +proj=utm +zone=33 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32434 projected WGS 72BE / UTM zone 34N 18,0,24,84 2 6324 +proj=utm +zone=34 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32435 projected WGS 72BE / UTM zone 35N 24,0,30,84 2 6324 +proj=utm +zone=35 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32436 projected WGS 72BE / UTM zone 36N 30,0,36,84 2 6324 +proj=utm +zone=36 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32437 projected WGS 72BE / UTM zone 37N 36,0,42,84 2 6324 +proj=utm +zone=37 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32438 projected WGS 72BE / UTM zone 38N 42,0,48,84 2 6324 +proj=utm +zone=38 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32439 projected WGS 72BE / UTM zone 39N 48,0,54,84 2 6324 +proj=utm +zone=39 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32440 projected WGS 72BE / UTM zone 40N 54,0,60,84 2 6324 +proj=utm +zone=40 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32441 projected WGS 72BE / UTM zone 41N 60,0,66,84 2 6324 +proj=utm +zone=41 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32442 projected WGS 72BE / UTM zone 42N 66,0,72,84 2 6324 +proj=utm +zone=42 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32443 projected WGS 72BE / UTM zone 43N 72,0,78,84 2 6324 +proj=utm +zone=43 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32444 projected WGS 72BE / UTM zone 44N 78,0,84,84 2 6324 +proj=utm +zone=44 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32445 projected WGS 72BE / UTM zone 45N 84,0,90,84 2 6324 +proj=utm +zone=45 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32446 projected WGS 72BE / UTM zone 46N 90,0,96,84 2 6324 +proj=utm +zone=46 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32447 projected WGS 72BE / UTM zone 47N 96,0,102,84 2 6324 +proj=utm +zone=47 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32448 projected WGS 72BE / UTM zone 48N 102,0,108,84 2 6324 +proj=utm +zone=48 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32449 projected WGS 72BE / UTM zone 49N 108,0,114,84 2 6324 +proj=utm +zone=49 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32450 projected WGS 72BE / UTM zone 50N 114,0,120,84 2 6324 +proj=utm +zone=50 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32451 projected WGS 72BE / UTM zone 51N 120,0,126,84 2 6324 +proj=utm +zone=51 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32452 projected WGS 72BE / UTM zone 52N 126,0,132,84 2 6324 +proj=utm +zone=52 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32453 projected WGS 72BE / UTM zone 53N 132,0,138,84 2 6324 +proj=utm +zone=53 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32454 projected WGS 72BE / UTM zone 54N 138,0,144,84 2 6324 +proj=utm +zone=54 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32455 projected WGS 72BE / UTM zone 55N 144,0,150,84 2 6324 +proj=utm +zone=55 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32456 projected WGS 72BE / UTM zone 56N 150,0,156,84 2 6324 +proj=utm +zone=56 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32457 projected WGS 72BE / UTM zone 57N 156,0,162,84 2 6324 +proj=utm +zone=57 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32458 projected WGS 72BE / UTM zone 58N 162,0,168,84 2 6324 +proj=utm +zone=58 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32459 projected WGS 72BE / UTM zone 59N 168,0,174,84 2 6324 +proj=utm +zone=59 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32460 projected WGS 72BE / UTM zone 60N 174,0,180,84 2 6324 +proj=utm +zone=60 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32501 projected WGS 72BE / UTM zone 1S -180,-80,-174,0 2 6324 +proj=utm +zone=1 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32502 projected WGS 72BE / UTM zone 2S -174,-80,-168,0 2 6324 +proj=utm +zone=2 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32503 projected WGS 72BE / UTM zone 3S -168,-80,-162,0 2 6324 +proj=utm +zone=3 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32504 projected WGS 72BE / UTM zone 4S -162,-80,-156,0 2 6324 +proj=utm +zone=4 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32505 projected WGS 72BE / UTM zone 5S -156,-80,-150,0 2 6324 +proj=utm +zone=5 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32506 projected WGS 72BE / UTM zone 6S -150,-80,-144,0 2 6324 +proj=utm +zone=6 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32507 projected WGS 72BE / UTM zone 7S -144,-80,-138,0 2 6324 +proj=utm +zone=7 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32508 projected WGS 72BE / UTM zone 8S -138,-80,-132,0 2 6324 +proj=utm +zone=8 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32509 projected WGS 72BE / UTM zone 9S -132,-80,-126,0 2 6324 +proj=utm +zone=9 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32510 projected WGS 72BE / UTM zone 10S -126,-80,-120,0 2 6324 +proj=utm +zone=10 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32511 projected WGS 72BE / UTM zone 11S -120,-80,-114,0 2 6324 +proj=utm +zone=11 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32512 projected WGS 72BE / UTM zone 12S -114,-80,-108,0 2 6324 +proj=utm +zone=12 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32513 projected WGS 72BE / UTM zone 13S -108,-80,-102,0 2 6324 +proj=utm +zone=13 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32514 projected WGS 72BE / UTM zone 14S -102,-80,-96,0 2 6324 +proj=utm +zone=14 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32515 projected WGS 72BE / UTM zone 15S -96,-80,-90,0 2 6324 +proj=utm +zone=15 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32516 projected WGS 72BE / UTM zone 16S -90,-80,-84,0 2 6324 +proj=utm +zone=16 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32517 projected WGS 72BE / UTM zone 17S -84,-80,-78,0 2 6324 +proj=utm +zone=17 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32518 projected WGS 72BE / UTM zone 18S -78,-80,-72,0 2 6324 +proj=utm +zone=18 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32519 projected WGS 72BE / UTM zone 19S -72,-80,-66,0 2 6324 +proj=utm +zone=19 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32520 projected WGS 72BE / UTM zone 20S -66,-80,-60,0 2 6324 +proj=utm +zone=20 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32521 projected WGS 72BE / UTM zone 21S -60,-80,-54,0 2 6324 +proj=utm +zone=21 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32522 projected WGS 72BE / UTM zone 22S -54,-80,-48,0 2 6324 +proj=utm +zone=22 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32523 projected WGS 72BE / UTM zone 23S -48,-80,-42,0 2 6324 +proj=utm +zone=23 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32524 projected WGS 72BE / UTM zone 24S -42,-80,-36,0 2 6324 +proj=utm +zone=24 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32525 projected WGS 72BE / UTM zone 25S -36,-80,-30,0 2 6324 +proj=utm +zone=25 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32526 projected WGS 72BE / UTM zone 26S -30,-80,-24,0 2 6324 +proj=utm +zone=26 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32527 projected WGS 72BE / UTM zone 27S -24,-80,-18,0 2 6324 +proj=utm +zone=27 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32528 projected WGS 72BE / UTM zone 28S -18,-80,-12,0 2 6324 +proj=utm +zone=28 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32529 projected WGS 72BE / UTM zone 29S -12,-80,-6,0 2 6324 +proj=utm +zone=29 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32530 projected WGS 72BE / UTM zone 30S -6,-80,0,0 2 6324 +proj=utm +zone=30 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32531 projected WGS 72BE / UTM zone 31S 0,-80,6,0 2 6324 +proj=utm +zone=31 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32532 projected WGS 72BE / UTM zone 32S 6,-80,12,0 2 6324 +proj=utm +zone=32 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32533 projected WGS 72BE / UTM zone 33S 12,-80,18,0 2 6324 +proj=utm +zone=33 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32534 projected WGS 72BE / UTM zone 34S 18,-80,24,0 2 6324 +proj=utm +zone=34 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32535 projected WGS 72BE / UTM zone 35S 24,-80,30,0 2 6324 +proj=utm +zone=35 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32536 projected WGS 72BE / UTM zone 36S 30,-80,36,0 2 6324 +proj=utm +zone=36 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32537 projected WGS 72BE / UTM zone 37S 36,-80,42,0 2 6324 +proj=utm +zone=37 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32538 projected WGS 72BE / UTM zone 38S 42,-80,48,0 2 6324 +proj=utm +zone=38 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32539 projected WGS 72BE / UTM zone 39S 48,-80,54,0 2 6324 +proj=utm +zone=39 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32540 projected WGS 72BE / UTM zone 40S 54,-80,60,0 2 6324 +proj=utm +zone=40 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32541 projected WGS 72BE / UTM zone 41S 60,-80,66,0 2 6324 +proj=utm +zone=41 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32542 projected WGS 72BE / UTM zone 42S 66,-80,72,0 2 6324 +proj=utm +zone=42 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32543 projected WGS 72BE / UTM zone 43S 72,-80,78,0 2 6324 +proj=utm +zone=43 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32544 projected WGS 72BE / UTM zone 44S 78,-80,84,0 2 6324 +proj=utm +zone=44 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32545 projected WGS 72BE / UTM zone 45S 84,-80,90,0 2 6324 +proj=utm +zone=45 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32546 projected WGS 72BE / UTM zone 46S 90,-80,96,0 2 6324 +proj=utm +zone=46 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32547 projected WGS 72BE / UTM zone 47S 96,-80,102,0 2 6324 +proj=utm +zone=47 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32548 projected WGS 72BE / UTM zone 48S 102,-80,108,0 2 6324 +proj=utm +zone=48 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32549 projected WGS 72BE / UTM zone 49S 108,-80,114,0 2 6324 +proj=utm +zone=49 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32550 projected WGS 72BE / UTM zone 50S 114,-80,120,0 2 6324 +proj=utm +zone=50 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32551 projected WGS 72BE / UTM zone 51S 120,-80,126,0 2 6324 +proj=utm +zone=51 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32552 projected WGS 72BE / UTM zone 52S 126,-80,132,0 2 6324 +proj=utm +zone=52 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32553 projected WGS 72BE / UTM zone 53S 132,-80,138,0 2 6324 +proj=utm +zone=53 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32554 projected WGS 72BE / UTM zone 54S 138,-80,144,0 2 6324 +proj=utm +zone=54 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32555 projected WGS 72BE / UTM zone 55S 144,-80,150,0 2 6324 +proj=utm +zone=55 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32556 projected WGS 72BE / UTM zone 56S 150,-80,156,0 2 6324 +proj=utm +zone=56 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32557 projected WGS 72BE / UTM zone 57S 156,-80,162,0 2 6324 +proj=utm +zone=57 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32558 projected WGS 72BE / UTM zone 58S 162,-80,168,0 2 6324 +proj=utm +zone=58 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32559 projected WGS 72BE / UTM zone 59S 168,-80,174,0 2 6324 +proj=utm +zone=59 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32560 projected WGS 72BE / UTM zone 60S 174,-80,180,0 2 6324 +proj=utm +zone=60 +south +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs +32601 projected WGS 84 / UTM zone 1N -180,0,-174,84 6326 +proj=utm +zone=1 +datum=WGS84 +units=m +no_defs +32602 projected WGS 84 / UTM zone 2N -174,0,-168,84 6326 +proj=utm +zone=2 +datum=WGS84 +units=m +no_defs +32603 projected WGS 84 / UTM zone 3N -168,0,-162,84 6326 +proj=utm +zone=3 +datum=WGS84 +units=m +no_defs +32604 projected WGS 84 / UTM zone 4N -162,0,-156,84 6326 +proj=utm +zone=4 +datum=WGS84 +units=m +no_defs +32605 projected WGS 84 / UTM zone 5N -156,0,-150,84 6326 +proj=utm +zone=5 +datum=WGS84 +units=m +no_defs +32606 projected WGS 84 / UTM zone 6N -150,0,-144,84 6326 +proj=utm +zone=6 +datum=WGS84 +units=m +no_defs +32607 projected WGS 84 / UTM zone 7N -144,0,-138,84 6326 +proj=utm +zone=7 +datum=WGS84 +units=m +no_defs +32608 projected WGS 84 / UTM zone 8N -138,0,-132,84 6326 +proj=utm +zone=8 +datum=WGS84 +units=m +no_defs +32609 projected WGS 84 / UTM zone 9N -132,0,-126,84 6326 +proj=utm +zone=9 +datum=WGS84 +units=m +no_defs +32610 projected WGS 84 / UTM zone 10N -126,0,-120,84 6326 +proj=utm +zone=10 +datum=WGS84 +units=m +no_defs +32611 projected WGS 84 / UTM zone 11N -120,0,-114,84 6326 +proj=utm +zone=11 +datum=WGS84 +units=m +no_defs +32612 projected WGS 84 / UTM zone 12N -114,0,-108,84 6326 +proj=utm +zone=12 +datum=WGS84 +units=m +no_defs +32613 projected WGS 84 / UTM zone 13N -108,0,-102,84 6326 +proj=utm +zone=13 +datum=WGS84 +units=m +no_defs +32614 projected WGS 84 / UTM zone 14N -102,0,-96,84 6326 +proj=utm +zone=14 +datum=WGS84 +units=m +no_defs +32615 projected WGS 84 / UTM zone 15N -96,0,-90,84 6326 +proj=utm +zone=15 +datum=WGS84 +units=m +no_defs +32616 projected WGS 84 / UTM zone 16N -90,0,-84,84 6326 +proj=utm +zone=16 +datum=WGS84 +units=m +no_defs +32617 projected WGS 84 / UTM zone 17N -84,0,-78,84 6326 +proj=utm +zone=17 +datum=WGS84 +units=m +no_defs +32618 projected WGS 84 / UTM zone 18N -78,0,-72,84 6326 +proj=utm +zone=18 +datum=WGS84 +units=m +no_defs +32619 projected WGS 84 / UTM zone 19N -72,0,-66,84 6326 +proj=utm +zone=19 +datum=WGS84 +units=m +no_defs +32620 projected WGS 84 / UTM zone 20N -66,0,-60,84 6326 +proj=utm +zone=20 +datum=WGS84 +units=m +no_defs +32621 projected WGS 84 / UTM zone 21N -60,0,-54,84 6326 +proj=utm +zone=21 +datum=WGS84 +units=m +no_defs +32622 projected WGS 84 / UTM zone 22N -54,0,-48,84 6326 +proj=utm +zone=22 +datum=WGS84 +units=m +no_defs +32623 projected WGS 84 / UTM zone 23N -48,0,-42,84 6326 +proj=utm +zone=23 +datum=WGS84 +units=m +no_defs +32624 projected WGS 84 / UTM zone 24N -42,0,-36,84 6326 +proj=utm +zone=24 +datum=WGS84 +units=m +no_defs +32625 projected WGS 84 / UTM zone 25N -36,0,-30,84 6326 +proj=utm +zone=25 +datum=WGS84 +units=m +no_defs +32626 projected WGS 84 / UTM zone 26N -30,0,-24,84 6326 +proj=utm +zone=26 +datum=WGS84 +units=m +no_defs +32627 projected WGS 84 / UTM zone 27N -24,0,-18,84 6326 +proj=utm +zone=27 +datum=WGS84 +units=m +no_defs +32628 projected WGS 84 / UTM zone 28N -18,0,-12,84 6326 +proj=utm +zone=28 +datum=WGS84 +units=m +no_defs +32629 projected WGS 84 / UTM zone 29N -12.01,0,-6,84.01 6326 +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs +32630 projected WGS 84 / UTM zone 30N -6,0,0,84 6326 +proj=utm +zone=30 +datum=WGS84 +units=m +no_defs +32631 projected WGS 84 / UTM zone 31N 0,0,6,84 6326 +proj=utm +zone=31 +datum=WGS84 +units=m +no_defs +32632 projected WGS 84 / UTM zone 32N 6,0,12,84 6326 +proj=utm +zone=32 +datum=WGS84 +units=m +no_defs +32633 projected WGS 84 / UTM zone 33N 12,0,18,84 6326 +proj=utm +zone=33 +datum=WGS84 +units=m +no_defs +32634 projected WGS 84 / UTM zone 34N 18,0,24,84 6326 +proj=utm +zone=34 +datum=WGS84 +units=m +no_defs +32635 projected WGS 84 / UTM zone 35N 24,0,30,84 6326 +proj=utm +zone=35 +datum=WGS84 +units=m +no_defs +32636 projected WGS 84 / UTM zone 36N 30,0,36,84 6326 +proj=utm +zone=36 +datum=WGS84 +units=m +no_defs +32637 projected WGS 84 / UTM zone 37N 36,0,42,84 6326 +proj=utm +zone=37 +datum=WGS84 +units=m +no_defs +32638 projected WGS 84 / UTM zone 38N 42,0,48,84 6326 +proj=utm +zone=38 +datum=WGS84 +units=m +no_defs +32639 projected WGS 84 / UTM zone 39N 48,0,54,84 6326 +proj=utm +zone=39 +datum=WGS84 +units=m +no_defs +32640 projected WGS 84 / UTM zone 40N 54,0,60,84 6326 +proj=utm +zone=40 +datum=WGS84 +units=m +no_defs +32641 projected WGS 84 / UTM zone 41N 60,0,66,84 6326 +proj=utm +zone=41 +datum=WGS84 +units=m +no_defs +32642 projected WGS 84 / UTM zone 42N 66,0,72,84 6326 +proj=utm +zone=42 +datum=WGS84 +units=m +no_defs +32643 projected WGS 84 / UTM zone 43N 72,0,78,84 6326 +proj=utm +zone=43 +datum=WGS84 +units=m +no_defs +32644 projected WGS 84 / UTM zone 44N 78,0,84,84 6326 +proj=utm +zone=44 +datum=WGS84 +units=m +no_defs +32645 projected WGS 84 / UTM zone 45N 84,0,90,84 6326 +proj=utm +zone=45 +datum=WGS84 +units=m +no_defs +32646 projected WGS 84 / UTM zone 46N 90,0,96,84 6326 +proj=utm +zone=46 +datum=WGS84 +units=m +no_defs +32647 projected WGS 84 / UTM zone 47N 96,0,102,84 6326 +proj=utm +zone=47 +datum=WGS84 +units=m +no_defs +32648 projected WGS 84 / UTM zone 48N 102,0,108,84 6326 +proj=utm +zone=48 +datum=WGS84 +units=m +no_defs +32649 projected WGS 84 / UTM zone 49N 108,0,114,84 6326 +proj=utm +zone=49 +datum=WGS84 +units=m +no_defs +32650 projected WGS 84 / UTM zone 50N 114,0,120,84 6326 +proj=utm +zone=50 +datum=WGS84 +units=m +no_defs +32651 projected WGS 84 / UTM zone 51N 120,0,126,84 6326 +proj=utm +zone=51 +datum=WGS84 +units=m +no_defs +32652 projected WGS 84 / UTM zone 52N 126,0,132,84 6326 +proj=utm +zone=52 +datum=WGS84 +units=m +no_defs +32653 projected WGS 84 / UTM zone 53N 132,0,138,84 6326 +proj=utm +zone=53 +datum=WGS84 +units=m +no_defs +32654 projected WGS 84 / UTM zone 54N 138,0,144,84 6326 +proj=utm +zone=54 +datum=WGS84 +units=m +no_defs +32655 projected WGS 84 / UTM zone 55N 144,0,150,84 6326 +proj=utm +zone=55 +datum=WGS84 +units=m +no_defs +32656 projected WGS 84 / UTM zone 56N 150,0,156,84 6326 +proj=utm +zone=56 +datum=WGS84 +units=m +no_defs +32657 projected WGS 84 / UTM zone 57N 156,0,162,84 6326 +proj=utm +zone=57 +datum=WGS84 +units=m +no_defs +32658 projected WGS 84 / UTM zone 58N 162,0,168,84 6326 +proj=utm +zone=58 +datum=WGS84 +units=m +no_defs +32659 projected WGS 84 / UTM zone 59N 168,0,174,84 6326 +proj=utm +zone=59 +datum=WGS84 +units=m +no_defs +32660 projected WGS 84 / UTM zone 60N 174,0,180,84 6326 +proj=utm +zone=60 +datum=WGS84 +units=m +no_defs +32661 projected WGS 84 / UPS North (N,E) -180,60,180,90 6326 +proj=stere +lat_0=90 +lon_0=0 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +32664 projected WGS 84 / BLM 14N (ftUS) -97.22,25.97,-95.87,28.43 6326 +proj=tmerc +lat_0=0 +lon_0=-99 +k=0.9996 +x_0=500000.001016002 +y_0=0 +datum=WGS84 +to_meter=0.304800609601219 +no_defs +32665 projected WGS 84 / BLM 15N (ftUS) -96,25.61,-89.86,29.73 6326 +proj=tmerc +lat_0=0 +lon_0=-93 +k=0.9996 +x_0=500000.001016002 +y_0=0 +datum=WGS84 +to_meter=0.304800609601219 +no_defs +32666 projected WGS 84 / BLM 16N (ftUS) -90.01,23.95,-83.91,30.25 6326 +proj=tmerc +lat_0=0 +lon_0=-87 +k=0.9996 +x_0=500000.001016002 +y_0=0 +datum=WGS84 +to_meter=0.304800609601219 +no_defs +32667 projected WGS 84 / BLM 17N (ftUS) -84.09,23.82,-81.17,29.94 6326 +proj=tmerc +lat_0=0 +lon_0=-81 +k=0.9996 +x_0=500000.001016002 +y_0=0 +datum=WGS84 +to_meter=0.304800609601219 +no_defs +32701 projected WGS 84 / UTM zone 1S -180,-80,-174,0 6326 +proj=utm +zone=1 +south +datum=WGS84 +units=m +no_defs +32702 projected WGS 84 / UTM zone 2S -174,-80,-168,0 6326 +proj=utm +zone=2 +south +datum=WGS84 +units=m +no_defs +32703 projected WGS 84 / UTM zone 3S -168,-80,-162,0 6326 +proj=utm +zone=3 +south +datum=WGS84 +units=m +no_defs +32704 projected WGS 84 / UTM zone 4S -162,-80,-156,0 6326 +proj=utm +zone=4 +south +datum=WGS84 +units=m +no_defs +32705 projected WGS 84 / UTM zone 5S -156,-80,-150,0 6326 +proj=utm +zone=5 +south +datum=WGS84 +units=m +no_defs +32706 projected WGS 84 / UTM zone 6S -150,-80,-144,0 6326 +proj=utm +zone=6 +south +datum=WGS84 +units=m +no_defs +32707 projected WGS 84 / UTM zone 7S -144,-80,-138,0 6326 +proj=utm +zone=7 +south +datum=WGS84 +units=m +no_defs +32708 projected WGS 84 / UTM zone 8S -138,-80,-132,0 6326 +proj=utm +zone=8 +south +datum=WGS84 +units=m +no_defs +32709 projected WGS 84 / UTM zone 9S -132,-80,-126,0 6326 +proj=utm +zone=9 +south +datum=WGS84 +units=m +no_defs +32710 projected WGS 84 / UTM zone 10S -126,-80,-120,0 6326 +proj=utm +zone=10 +south +datum=WGS84 +units=m +no_defs +32711 projected WGS 84 / UTM zone 11S -120,-80,-114,0 6326 +proj=utm +zone=11 +south +datum=WGS84 +units=m +no_defs +32712 projected WGS 84 / UTM zone 12S -114,-80,-108,0 6326 +proj=utm +zone=12 +south +datum=WGS84 +units=m +no_defs +32713 projected WGS 84 / UTM zone 13S -108,-80,-102,0 6326 +proj=utm +zone=13 +south +datum=WGS84 +units=m +no_defs +32714 projected WGS 84 / UTM zone 14S -102,-80,-96,0 6326 +proj=utm +zone=14 +south +datum=WGS84 +units=m +no_defs +32715 projected WGS 84 / UTM zone 15S -96,-80,-90,0 6326 +proj=utm +zone=15 +south +datum=WGS84 +units=m +no_defs +32716 projected WGS 84 / UTM zone 16S -90,-80,-84,0 6326 +proj=utm +zone=16 +south +datum=WGS84 +units=m +no_defs +32717 projected WGS 84 / UTM zone 17S -84,-80,-78,0 6326 +proj=utm +zone=17 +south +datum=WGS84 +units=m +no_defs +32718 projected WGS 84 / UTM zone 18S -78,-80,-72,0 6326 +proj=utm +zone=18 +south +datum=WGS84 +units=m +no_defs +32719 projected WGS 84 / UTM zone 19S -72,-80,-66,0 6326 +proj=utm +zone=19 +south +datum=WGS84 +units=m +no_defs +32720 projected WGS 84 / UTM zone 20S -66,-80,-60,0 6326 +proj=utm +zone=20 +south +datum=WGS84 +units=m +no_defs +32721 projected WGS 84 / UTM zone 21S -60,-80,-54,0 6326 +proj=utm +zone=21 +south +datum=WGS84 +units=m +no_defs +32722 projected WGS 84 / UTM zone 22S -54,-80,-48,0 6326 +proj=utm +zone=22 +south +datum=WGS84 +units=m +no_defs +32723 projected WGS 84 / UTM zone 23S -48,-80,-42,0 6326 +proj=utm +zone=23 +south +datum=WGS84 +units=m +no_defs +32724 projected WGS 84 / UTM zone 24S -42,-80,-36,0 6326 +proj=utm +zone=24 +south +datum=WGS84 +units=m +no_defs +32725 projected WGS 84 / UTM zone 25S -36,-80,-30,0 6326 +proj=utm +zone=25 +south +datum=WGS84 +units=m +no_defs +32726 projected WGS 84 / UTM zone 26S -30,-80,-24,0 6326 +proj=utm +zone=26 +south +datum=WGS84 +units=m +no_defs +32727 projected WGS 84 / UTM zone 27S -24,-80,-18,0 6326 +proj=utm +zone=27 +south +datum=WGS84 +units=m +no_defs +32728 projected WGS 84 / UTM zone 28S -18,-80,-12,0 6326 +proj=utm +zone=28 +south +datum=WGS84 +units=m +no_defs +32729 projected WGS 84 / UTM zone 29S -12,-80,-6,0 6326 +proj=utm +zone=29 +south +datum=WGS84 +units=m +no_defs +32730 projected WGS 84 / UTM zone 30S -6,-80,0,0 6326 +proj=utm +zone=30 +south +datum=WGS84 +units=m +no_defs +32731 projected WGS 84 / UTM zone 31S 0,-80,6,0 6326 +proj=utm +zone=31 +south +datum=WGS84 +units=m +no_defs +32732 projected WGS 84 / UTM zone 32S 6,-80,12,0 6326 +proj=utm +zone=32 +south +datum=WGS84 +units=m +no_defs +32733 projected WGS 84 / UTM zone 33S 12,-80,18,0 6326 +proj=utm +zone=33 +south +datum=WGS84 +units=m +no_defs +32734 projected WGS 84 / UTM zone 34S 18,-80,24,0 6326 +proj=utm +zone=34 +south +datum=WGS84 +units=m +no_defs +32735 projected WGS 84 / UTM zone 35S 24,-80,30,0 6326 +proj=utm +zone=35 +south +datum=WGS84 +units=m +no_defs +32736 projected WGS 84 / UTM zone 36S 30,-80,36,0 6326 +proj=utm +zone=36 +south +datum=WGS84 +units=m +no_defs +32737 projected WGS 84 / UTM zone 37S 36,-80,42,0 6326 +proj=utm +zone=37 +south +datum=WGS84 +units=m +no_defs +32738 projected WGS 84 / UTM zone 38S 42,-80,48,0 6326 +proj=utm +zone=38 +south +datum=WGS84 +units=m +no_defs +32739 projected WGS 84 / UTM zone 39S 48,-80,54,0 6326 +proj=utm +zone=39 +south +datum=WGS84 +units=m +no_defs +32740 projected WGS 84 / UTM zone 40S 54,-80,60,0 6326 +proj=utm +zone=40 +south +datum=WGS84 +units=m +no_defs +32741 projected WGS 84 / UTM zone 41S 60,-80,66,0 6326 +proj=utm +zone=41 +south +datum=WGS84 +units=m +no_defs +32742 projected WGS 84 / UTM zone 42S 66,-80,72,0 6326 +proj=utm +zone=42 +south +datum=WGS84 +units=m +no_defs +32743 projected WGS 84 / UTM zone 43S 72,-80,78,0 6326 +proj=utm +zone=43 +south +datum=WGS84 +units=m +no_defs +32744 projected WGS 84 / UTM zone 44S 78,-80,84,0 6326 +proj=utm +zone=44 +south +datum=WGS84 +units=m +no_defs +32745 projected WGS 84 / UTM zone 45S 84,-80,90,0 6326 +proj=utm +zone=45 +south +datum=WGS84 +units=m +no_defs +32746 projected WGS 84 / UTM zone 46S 90,-80,96,0 6326 +proj=utm +zone=46 +south +datum=WGS84 +units=m +no_defs +32747 projected WGS 84 / UTM zone 47S 96,-80,102,0 6326 +proj=utm +zone=47 +south +datum=WGS84 +units=m +no_defs +32748 projected WGS 84 / UTM zone 48S 102,-80,108,0 6326 +proj=utm +zone=48 +south +datum=WGS84 +units=m +no_defs +32749 projected WGS 84 / UTM zone 49S 108,-80,114,0 6326 +proj=utm +zone=49 +south +datum=WGS84 +units=m +no_defs +32750 projected WGS 84 / UTM zone 50S 114,-80,120,0 6326 +proj=utm +zone=50 +south +datum=WGS84 +units=m +no_defs +32751 projected WGS 84 / UTM zone 51S 120,-80,126,0 6326 +proj=utm +zone=51 +south +datum=WGS84 +units=m +no_defs +32752 projected WGS 84 / UTM zone 52S 126,-80,132,0 6326 +proj=utm +zone=52 +south +datum=WGS84 +units=m +no_defs +32753 projected WGS 84 / UTM zone 53S 132,-80,138,0 6326 +proj=utm +zone=53 +south +datum=WGS84 +units=m +no_defs +32754 projected WGS 84 / UTM zone 54S 138,-80,144,0 6326 +proj=utm +zone=54 +south +datum=WGS84 +units=m +no_defs +32755 projected WGS 84 / UTM zone 55S 144,-80,150,0 6326 +proj=utm +zone=55 +south +datum=WGS84 +units=m +no_defs +32756 projected WGS 84 / UTM zone 56S 150,-80,156,0 6326 +proj=utm +zone=56 +south +datum=WGS84 +units=m +no_defs +32757 projected WGS 84 / UTM zone 57S 156,-80,162,0 6326 +proj=utm +zone=57 +south +datum=WGS84 +units=m +no_defs +32758 projected WGS 84 / UTM zone 58S 162,-80,168,0 6326 +proj=utm +zone=58 +south +datum=WGS84 +units=m +no_defs +32759 projected WGS 84 / UTM zone 59S 168,-80,174,0 6326 +proj=utm +zone=59 +south +datum=WGS84 +units=m +no_defs +32760 projected WGS 84 / UTM zone 60S 174,-80,180,0 6326 +proj=utm +zone=60 +south +datum=WGS84 +units=m +no_defs +32761 projected WGS 84 / UPS South (N,E) -180,-90,180,-60 6326 +proj=stere +lat_0=-90 +lon_0=0 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs +32766 projected WGS 84 / TM 36 SE 32.64,-27.71,43.03,-10.09 6326 +proj=tmerc +lat_0=0 +lon_0=36 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs diff --git a/nodedb-crs/data/epsg_supplement.tsv b/nodedb-crs/data/epsg_supplement.tsv new file mode 100644 index 000000000..2b1886eb2 --- /dev/null +++ b/nodedb-crs/data/epsg_supplement.tsv @@ -0,0 +1,12 @@ +# EPSG supplement: EPSG change 2026.081, absent from EPSG v12.029. PROJ 9.8.1 +code kind name area accuracy_m datum proj +12287 geographic GDM2020 98.02,0.85,119.61,7.81 1 1471 +proj=longlat +ellps=GRS80 +towgs84=0,0,0 +no_defs +25314 projected GDM2020 / Johor Grid 102.44,1.21,104.6,2.95 1 1471 +proj=cass +lat_0=2.04255439166667 +lon_0=103.561069988889 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25315 projected GDM2020 / Sembilan and Melaka Grid 101.7,2.03,102.71,3.28 1 1471 +proj=cass +lat_0=2.71211928888889 +lon_0=101.939706794444 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25316 projected GDM2020 / Pahang Grid 101.33,2.45,103.67,4.78 1 1471 +proj=cass +lat_0=3.710746625 +lon_0=102.434617275 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25317 projected GDM2020 / Selangor Grid 100.76,2.54,101.97,3.87 1 1471 +proj=cass +lat_0=3.68010363888889 +lon_0=101.506805472222 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25318 projected GDM2020 / Terengganu Grid 102.38,3.89,103.72,5.9 1 1471 +proj=cass +lat_0=4.94582420833333 +lon_0=102.893616386111 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25319 projected GDM2020 / Pinang Grid 100.12,5.12,100.56,5.59 1 1471 +proj=cass +lat_0=5.420888725 +lon_0=100.344658966667 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25320 projected GDM2020 / Kedah and Perlis Grid 99.59,5.08,101.12,6.72 1 1471 +proj=cass +lat_0=5.96467151666667 +lon_0=100.636374988889 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25321 projected GDM2020 / Perak Grid 100.07,3.66,102,5.92 1 1471 +proj=cass +lat_0=4.859066725 +lon_0=100.815412119444 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs +25322 projected GDM2020 / Kelantan Grid 101.33,4.54,102.67,6.29 1 1471 +proj=cass +lat_0=5.893631975 +lon_0=102.175627286111 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs diff --git a/nodedb-crs/src/datum/ecef.rs b/nodedb-crs/src/datum/ecef.rs new file mode 100644 index 000000000..6cceff0ec --- /dev/null +++ b/nodedb-crs/src/datum/ecef.rs @@ -0,0 +1,96 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geodetic ↔ Earth-centred, Earth-fixed (ECEF) Cartesian coordinates. + +use crate::def::Ellipsoid; + +/// Iterations allowed for Bowring's latitude refinement. Each iteration +/// roughly triples the correct digits, so three reach double precision on +/// Earth-sized ellipsoids. The cap only bounds bad input. +const BOWRING_MAX_ITERS: usize = 8; + +/// Latitude change in radians below which Bowring's iteration stops, about +/// 6 nm on the ground. +const LATITUDE_TOLERANCE_RAD: f64 = 1e-15; + +/// λ, φ radians and h metres above `ellipsoid` to ECEF metres. +pub fn geodetic_to_ecef(lam: f64, phi: f64, h: f64, ellipsoid: &Ellipsoid) -> [f64; 3] { + let e2 = ellipsoid.e2(); + let (sin_phi, cos_phi) = phi.sin_cos(); + let (sin_lam, cos_lam) = lam.sin_cos(); + let n = ellipsoid.a / (1.0 - e2 * sin_phi * sin_phi).sqrt(); + [ + (n + h) * cos_phi * cos_lam, + (n + h) * cos_phi * sin_lam, + (n * (1.0 - e2) + h) * sin_phi, + ] +} + +/// ECEF metres to λ, φ radians and h metres above `ellipsoid`, by Bowring's +/// iteration on the parametric latitude. +pub fn ecef_to_geodetic(xyz: [f64; 3], ellipsoid: &Ellipsoid) -> (f64, f64, f64) { + let [x, y, z] = xyz; + let a = ellipsoid.a; + let b = ellipsoid.b(); + let e2 = ellipsoid.e2(); + let ep2 = e2 / (1.0 - e2); + let p = x.hypot(y); + let lam = y.atan2(x); + + let mut beta = (a * z).atan2(b * p); + let mut phi = 0.0; + for _ in 0..BOWRING_MAX_ITERS { + let (sin_b, cos_b) = beta.sin_cos(); + let next = (z + ep2 * b * sin_b.powi(3)).atan2(p - e2 * a * cos_b.powi(3)); + let done = (next - phi).abs() < LATITUDE_TOLERANCE_RAD; + phi = next; + if done { + break; + } + let (sin_p, cos_p) = phi.sin_cos(); + beta = (b * sin_p).atan2(a * cos_p); + } + let (sin_phi, cos_phi) = phi.sin_cos(); + let h = p * cos_phi + z * sin_phi - a * (1.0 - e2 * sin_phi * sin_phi).sqrt(); + (lam, phi, h) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn round_trip_below_a_micrometre() { + for ell in [ + Ellipsoid::WGS84, + Ellipsoid::EVEREST_1830_MODIFIED, + Ellipsoid::sphere(6_371_007.181), + ] { + for (lon, lat, h) in [ + (101.7117, 3.1579, 45.0), + (-75.0, -89.9, 1000.0), + (179.9, 60.0, -100.0), + (0.0, 0.0, 0.0), + (12.0, 90.0, 10.0), + ] { + let xyz = geodetic_to_ecef(f64::to_radians(lon), f64::to_radians(lat), h, &ell); + let (lam, phi, h2) = ecef_to_geodetic(xyz, &ell); + let back = geodetic_to_ecef(lam, phi, h2, &ell); + for (got, want) in back.iter().zip(xyz) { + assert!( + (got - want).abs() < 1e-6, + "{lon} {lat} {h}: {back:?} vs {xyz:?}" + ); + } + assert!((h2 - h).abs() < 1e-6, "{h2} vs {h}"); + } + } + } + + /// The equator on the prime meridian lies at x = a. + #[test] + fn equator_point() { + let xyz = geodetic_to_ecef(0.0, 0.0, 0.0, &Ellipsoid::WGS84); + assert_eq!(xyz, [6_378_137.0, 0.0, 0.0]); + } +} diff --git a/nodedb-crs/src/datum/helmert.rs b/nodedb-crs/src/datum/helmert.rs new file mode 100644 index 000000000..54f2b1d87 --- /dev/null +++ b/nodedb-crs/src/datum/helmert.rs @@ -0,0 +1,261 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The 7-parameter Helmert transformation in its small-angle form, IOGP +//! Guidance Note 7-2 §4.2.3. This is the form PROJ `+towgs84` applies. +//! +//! [`Helmert::forward`] and [`Helmert::inverse`] apply the static +//! parameters. A time-dependent transformation, GN 7-2 §4.2.5, first takes +//! its parameters at the coordinate epoch with [`Helmert::at_epoch`]. + +use crate::def::Helmert; + +/// Radians per arc-second, π / 648 000. +const RAD_PER_ARCSEC: f64 = core::f64::consts::PI / 648_000.0; + +/// Scale per part per million. +const PER_PPM: f64 = 1e-6; + +/// Cross product a × b. +fn cross(a: [f64; 3], b: [f64; 3]) -> [f64; 3] { + [ + a[1] * b[2] - a[2] * b[1], + a[2] * b[0] - a[0] * b[2], + a[0] * b[1] - a[1] * b[0], + ] +} + +/// Dot product a · b. +fn dot(a: [f64; 3], b: [f64; 3]) -> f64 { + a[0] * b[0] + a[1] * b[1] + a[2] * b[2] +} + +impl Helmert { + /// Position-vector rotations in radians. + fn rotation_rad(&self) -> [f64; 3] { + self.position_vector_rotations().map(|r| r * RAD_PER_ARCSEC) + } + + /// Translation vector in metres. + fn translation_m(&self) -> [f64; 3] { + [self.tx_m, self.ty_m, self.tz_m] + } + + /// The static transformation this one equals at coordinate epoch + /// `epoch`, decimal year: each parameter p becomes p + ṗ (t − t0), + /// IOGP GN 7-2 §4.2.5. A static transformation returns itself. + pub fn at_epoch(&self, epoch: f64) -> Helmert { + let Some(rates) = self.rates else { + return *self; + }; + let dt = epoch - rates.reference_epoch; + let r = rates.values(); + Helmert { + tx_m: self.tx_m + r[0] * dt, + ty_m: self.ty_m + r[1] * dt, + tz_m: self.tz_m + r[2] * dt, + rx_arcsec: self.rx_arcsec + r[3] * dt, + ry_arcsec: self.ry_arcsec + r[4] * dt, + rz_arcsec: self.rz_arcsec + r[5] * dt, + scale_ppm: self.scale_ppm + r[6] * dt, + convention: self.convention, + accuracy_m: self.accuracy_m, + rates: None, + } + } + + /// Map source ECEF metres to WGS 84 ECEF metres: + /// V_T = (1 + dS) (I + K) V_S + T, where K V = r × V in the + /// position-vector convention. + pub fn forward(&self, v: [f64; 3]) -> [f64; 3] { + let m = 1.0 + self.scale_ppm * PER_PPM; + let rv = cross(self.rotation_rad(), v); + let t = self.translation_m(); + [ + m * (v[0] + rv[0]) + t[0], + m * (v[1] + rv[1]) + t[1], + m * (v[2] + rv[2]) + t[2], + ] + } + + /// The exact inverse of [`Helmert::forward`]: + /// V_S = (I + K)⁻¹ (V_T − T) / (1 + dS), with + /// (I + K)⁻¹ = (I − K + r rᵀ) / (1 + |r|²). + pub fn inverse(&self, v: [f64; 3]) -> [f64; 3] { + let m = 1.0 + self.scale_ppm * PER_PPM; + let t = self.translation_m(); + let u = [(v[0] - t[0]) / m, (v[1] - t[1]) / m, (v[2] - t[2]) / m]; + let r = self.rotation_rad(); + let ru = cross(r, u); + let r_dot_u = dot(r, u); + let det = 1.0 + dot(r, r); + [ + (u[0] - ru[0] + r[0] * r_dot_u) / det, + (u[1] - ru[1] + r[1] * r_dot_u) / det, + (u[2] - ru[2] + r[2] * r_dot_u) / det, + ] + } +} + +#[cfg(test)] +mod tests { + use crate::def::{Helmert, HelmertRates, RotationConvention}; + + /// IOGP GN 7-2 §4.2.3 worked example: WGS 72 → WGS 84, EPSG + /// transformation 1238, position-vector convention. + fn wgs72_to_wgs84() -> Helmert { + Helmert::position_vector([0.0, 0.0, 4.5, 0.0, 0.0, 0.554, 0.219]) + } + + /// Input of the GN 7-2 example, WGS 72 geocentric metres. + const GN_INPUT: [f64; 3] = [3_657_660.66, 255_768.55, 5_201_382.11]; + + /// Half a centimetre: GN 7-2 states its results to 0.01 m. + const GN_HALF_CM: f64 = 0.005; + + #[test] + fn iogp_position_vector_example() { + let out = wgs72_to_wgs84().forward(GN_INPUT); + // GN 7-2 prints YT = 255 778.43 m and ZT = 5 201 387.75 m. + assert!((out[1] - 255_778.43).abs() < GN_HALF_CM, "{out:?}"); + assert!((out[2] - 5_201_387.75).abs() < GN_HALF_CM, "{out:?}"); + // GN 7-2 prints XT = 3 657 660.78 m. Its own matrix formula gives + // M (XS − rZ YS) = 3 657 660.774 m, which rounds to .77, so the + // check uses the formula value to a millimetre. + assert!((out[0] - 3_657_660.774_1).abs() < 1e-3, "{out:?}"); + } + + /// GN 7-2: the coordinate-frame parameters for the same example are the + /// position-vector ones with the rotations negated. + #[test] + fn coordinate_frame_gives_the_same_result() { + let pv = wgs72_to_wgs84(); + let mut cf = Helmert::position_vector([0.0, 0.0, 4.5, 0.0, 0.0, -0.554, 0.219]); + cf.convention = RotationConvention::CoordinateFrame; + assert_eq!(pv.forward(GN_INPUT), cf.forward(GN_INPUT)); + } + + /// IOGP GN 7-2 (September 2019) §4.2.5 worked example: EPSG + /// transformation 6276, ITRF2008 to GDA94, Time-dependent Coordinate + /// Frame rotation (method 1056), coordinate epoch 2013.90. Translations + /// in metres, rotations in arc-seconds, scale in ppm, per year for the + /// rates. + fn itrf2008_to_gda94() -> Helmert { + let mut h = Helmert::position_vector([ + -0.084_68, + -0.019_42, + 0.032_01, + -0.000_425_4, + 0.002_257_8, + 0.002_401_5, + 0.009_71, + ]); + h.convention = RotationConvention::CoordinateFrame; + h.rates = Some(HelmertRates::new( + [ + 0.001_42, + 0.001_34, + 0.000_90, + 0.001_546_1, + 0.001_182_0, + 0.001_155_1, + 0.000_109, + ], + GN_TD_REFERENCE_EPOCH, + )); + h + } + + /// Parameter reference epoch t0 of EPSG transformation 6276. + const GN_TD_REFERENCE_EPOCH: f64 = 1994.00; + + /// Coordinate epoch t of the GN 7-2 §4.2.5 example. + const GN_TD_EPOCH: f64 = 2013.90; + + /// ITRF2008 input of the GN 7-2 §4.2.5 example, metres. + const GN_TD_INPUT: [f64; 3] = [-3_789_470.710, 4_841_770.404, -1_690_893.952]; + + /// GDA94 output GN 7-2 §4.2.5 prints, metres. + const GN_TD_OUTPUT: [f64; 3] = [-3_789_470.004, 4_841_770.686, -1_690_895.108]; + + /// PROJ 9.8.1 `+proj=helmert` with the EPSG 6276 parameters, + /// `+t_epoch=1994 +convention=coordinate_frame`, on GN_TD_INPUT at + /// 2013.90. + const PROJ_TD_OUTPUT: [f64; 3] = [ + -3_789_470.004_157_804, + 4_841_770.686_452_708, + -1_690_895.108_020_519_6, + ]; + + /// Agreement with PROJ, which applies the same linear form. + const PROJ_TD_TOLERANCE_M: f64 = 1e-6; + + #[test] + fn iogp_time_dependent_coordinate_frame_example() { + let out = itrf2008_to_gda94() + .at_epoch(GN_TD_EPOCH) + .forward(GN_TD_INPUT); + for i in 0..3 { + assert!((out[i] - GN_TD_OUTPUT[i]).abs() < GN_HALF_CM, "{out:?}"); + assert!( + (out[i] - PROJ_TD_OUTPUT[i]).abs() < PROJ_TD_TOLERANCE_M, + "{out:?}" + ); + } + // The reverse direction returns the GN 7-2 input. + let back = itrf2008_to_gda94() + .at_epoch(GN_TD_EPOCH) + .inverse(GN_TD_OUTPUT); + for i in 0..3 { + assert!((back[i] - GN_TD_INPUT[i]).abs() < GN_HALF_CM, "{back:?}"); + } + } + + /// Method 1053 is method 1056 with every rotation and rotation rate + /// negated, GN 7-2 §4.2.5. + #[test] + fn time_dependent_position_vector_matches_coordinate_frame() { + let cf = itrf2008_to_gda94(); + let mut pv = cf; + pv.convention = RotationConvention::PositionVector; + pv.rx_arcsec = -cf.rx_arcsec; + pv.ry_arcsec = -cf.ry_arcsec; + pv.rz_arcsec = -cf.rz_arcsec; + let mut rates = cf.rates.unwrap(); + rates.drx_arcsec_per_yr = -rates.drx_arcsec_per_yr; + rates.dry_arcsec_per_yr = -rates.dry_arcsec_per_yr; + rates.drz_arcsec_per_yr = -rates.drz_arcsec_per_yr; + pv.rates = Some(rates); + let a = cf.at_epoch(GN_TD_EPOCH).forward(GN_TD_INPUT); + let b = pv.at_epoch(GN_TD_EPOCH).forward(GN_TD_INPUT); + for i in 0..3 { + assert!((a[i] - b[i]).abs() < 1e-9, "{a:?} {b:?}"); + } + } + + /// At the reference epoch the rates contribute nothing. + #[test] + fn reference_epoch_applies_the_static_parameters() { + let h = itrf2008_to_gda94(); + let mut fixed = h; + fixed.rates = None; + assert_eq!( + h.at_epoch(GN_TD_REFERENCE_EPOCH).forward(GN_TD_INPUT), + fixed.forward(GN_TD_INPUT) + ); + } + + #[test] + fn inverse_round_trip_below_a_micrometre() { + let h = Helmert::position_vector([-11.0, 851.0, 5.0, 2.5, -1.75, 3.2, 12.0]); + for v in [ + GN_INPUT, + [-2_000_000.0, 5_500_000.0, -2_500_000.0], + [6_378_137.0, 0.0, 0.0], + ] { + let back = h.inverse(h.forward(v)); + for (got, want) in back.iter().zip(v) { + assert!((got - want).abs() < 1e-6, "{v:?} -> {back:?}"); + } + } + } +} diff --git a/nodedb-crs/src/datum/mod.rs b/nodedb-crs/src/datum/mod.rs new file mode 100644 index 000000000..ef8e00734 --- /dev/null +++ b/nodedb-crs/src/datum/mod.rs @@ -0,0 +1,8 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Datum shift math: geodetic ↔ ECEF and the Helmert transformation. + +pub mod ecef; +pub mod helmert; + +pub use ecef::{ecef_to_geodetic, geodetic_to_ecef}; diff --git a/nodedb-crs/src/def/area.rs b/nodedb-crs/src/def/area.rs new file mode 100644 index 000000000..578edd40f --- /dev/null +++ b/nodedb-crs/src/def/area.rs @@ -0,0 +1,89 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Area of use of a CRS. + +use serde::{Deserialize, Serialize}; + +use crate::error::CrsParseError; + +/// Geographic bounds where a CRS is valid, WGS 84 degrees. `west > east` +/// marks an area crossing the anti-meridian. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct AreaOfUse { + pub west: f64, + pub south: f64, + pub east: f64, + pub north: f64, +} + +impl AreaOfUse { + /// Parse `west,south,east,north`. An empty string is no area. + pub fn parse(text: &str) -> Result, CrsParseError> { + if text.is_empty() { + return Ok(None); + } + let bad = || CrsParseError::invalid("area", text); + let mut parts = text.split(',').map(|p| p.trim().parse::()); + let mut next = || parts.next().ok_or_else(bad)?.map_err(|_| bad()); + let area = AreaOfUse { + west: next()?, + south: next()?, + east: next()?, + north: next()?, + }; + if parts.next().is_some() { + return Err(bad()); + } + Ok(Some(area)) + } + + /// Whether `[lon, lat]` WGS 84 degrees lies inside the area. + pub fn contains(&self, lon: f64, lat: f64) -> bool { + let in_lat = (self.south..=self.north).contains(&lat); + let in_lon = if self.west <= self.east { + (self.west..=self.east).contains(&lon) + } else { + lon >= self.west || lon <= self.east + }; + in_lat && in_lon + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn parses_four_numbers() { + let area = AreaOfUse::parse("102,0,108,84").unwrap().unwrap(); + assert_eq!(area.west, 102.0); + assert_eq!(area.north, 84.0); + assert!(area.contains(105.0, 3.0)); + assert!(!area.contains(101.0, 3.0)); + } + + #[test] + fn empty_is_none_and_bad_is_error() { + assert_eq!(AreaOfUse::parse(""), Ok(None)); + assert!(AreaOfUse::parse("1,2,3").is_err()); + assert!(AreaOfUse::parse("1,2,3,4,5").is_err()); + assert!(AreaOfUse::parse("1,x,3,4").is_err()); + } + + #[test] + fn anti_meridian_area() { + let area = AreaOfUse::parse("170,-10,-170,10").unwrap().unwrap(); + assert!(area.contains(175.0, 0.0)); + assert!(area.contains(-175.0, 0.0)); + assert!(!area.contains(0.0, 0.0)); + } +} diff --git a/nodedb-crs/src/def/axis.rs b/nodedb-crs/src/def/axis.rs new file mode 100644 index 000000000..1f2bea49d --- /dev/null +++ b/nodedb-crs/src/def/axis.rs @@ -0,0 +1,226 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Axis order and direction of a CRS, as PROJ `+axis` spells it. +//! +//! The native order is east, north, up: longitude, latitude, height for a +//! geographic CRS, and easting, northing, height for a projected one. +//! `+axis=xyz` names the direction of each CRS ordinate with one letter +//! from `e w n s u d`. PROJ's `axisswap` step defines the mapping: +//! CRS ordinate `i` is `sign(i) · native[axis(i)]`. + +use core::fmt; + +use serde::{Deserialize, Serialize}; + +use crate::error::CrsParseError; + +/// The direction of one CRS ordinate. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Hash, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum AxisDirection { + East, + West, + North, + South, + Up, + Down, +} + +impl AxisDirection { + /// The direction PROJ writes as `letter`. + pub fn from_letter(letter: char) -> Option { + match letter { + 'e' => Some(AxisDirection::East), + 'w' => Some(AxisDirection::West), + 'n' => Some(AxisDirection::North), + 's' => Some(AxisDirection::South), + 'u' => Some(AxisDirection::Up), + 'd' => Some(AxisDirection::Down), + _ => None, + } + } + + /// The PROJ letter of this direction. + pub fn letter(self) -> char { + match self { + AxisDirection::East => 'e', + AxisDirection::West => 'w', + AxisDirection::North => 'n', + AxisDirection::South => 's', + AxisDirection::Up => 'u', + AxisDirection::Down => 'd', + } + } + + /// Index of the native ordinate this direction reads: 0 east, 1 north, + /// 2 up. + pub fn native_index(self) -> usize { + match self { + AxisDirection::East | AxisDirection::West => 0, + AxisDirection::North | AxisDirection::South => 1, + AxisDirection::Up | AxisDirection::Down => 2, + } + } + + /// +1 along the native direction, −1 against it. + pub fn sign(self) -> f64 { + match self { + AxisDirection::East | AxisDirection::North | AxisDirection::Up => 1.0, + AxisDirection::West | AxisDirection::South | AxisDirection::Down => -1.0, + } + } +} + +/// The direction of each of the three CRS ordinates. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Hash, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct AxisOrder { + pub x: AxisDirection, + pub y: AxisDirection, + pub z: AxisDirection, +} + +impl AxisOrder { + /// East, north, up: the native order, PROJ `+axis=enu`. + pub const ENU: AxisOrder = AxisOrder { + x: AxisDirection::East, + y: AxisDirection::North, + z: AxisDirection::Up, + }; + + /// Parse a PROJ `+axis` value: three letters from `e w n s u d`, one + /// per native axis. A repeated axis, such as `ewu`, is refused, as PROJ + /// refuses it. + pub fn parse(text: &str) -> Result { + let bad = || CrsParseError::invalid("axis", text); + let mut letters = text.chars().map(AxisDirection::from_letter); + let mut next = || letters.next().flatten().ok_or_else(bad); + let order = AxisOrder { + x: next()?, + y: next()?, + z: next()?, + }; + if text.chars().count() != 3 { + return Err(bad()); + } + let [a, b, c] = order.directions().map(AxisDirection::native_index); + if a == b || a == c || b == c { + return Err(bad()); + } + Ok(order) + } + + /// Whether this is the native order. + pub fn is_enu(&self) -> bool { + *self == AxisOrder::ENU + } + + /// The directions of x, y and z. + pub fn directions(&self) -> [AxisDirection; 3] { + [self.x, self.y, self.z] + } + + /// Native east, north, up ordinates to CRS ordinates. + pub fn from_native(&self, native: [f64; 3]) -> [f64; 3] { + self.directions() + .map(|d| d.sign() * native[d.native_index()]) + } + + /// CRS ordinates to native east, north, up ordinates. + pub fn to_native(&self, ordinates: [f64; 3]) -> [f64; 3] { + let mut native = [0.0; 3]; + for (d, v) in self.directions().into_iter().zip(ordinates) { + native[d.native_index()] = d.sign() * v; + } + native + } +} + +impl Default for AxisOrder { + fn default() -> Self { + AxisOrder::ENU + } +} + +impl fmt::Display for AxisOrder { + /// The PROJ `+axis` value, such as `enu`. + fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { + for d in self.directions() { + fmt::Write::write_char(f, d.letter())?; + } + Ok(()) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn parses_every_permutation_and_sign() { + let mut accepted = 0; + for a in "ewnsud".chars() { + for b in "ewnsud".chars() { + for c in "ewnsud".chars() { + let text: String = [a, b, c].iter().collect(); + if let Ok(order) = AxisOrder::parse(&text) { + assert_eq!(order.to_string(), text); + accepted += 1; + } + } + } + } + // 3! axis orders times 2³ signs. + assert_eq!(accepted, 48); + } + + #[test] + fn refuses_repeats_length_and_letters() { + for bad in ["", "en", "enuu", "ewu", "nsu", "enn", "xyz", "eNu", "enü"] { + assert!( + matches!( + AxisOrder::parse(bad), + Err(CrsParseError::InvalidValue { .. }) + ), + "{bad}" + ); + } + } + + #[test] + fn swaps_and_negates_like_axisswap() { + let wsu = AxisOrder::parse("wsu").unwrap(); + assert_eq!(wsu.from_native([1.0, 2.0, 3.0]), [-1.0, -2.0, 3.0]); + let swu = AxisOrder::parse("swu").unwrap(); + assert_eq!(swu.from_native([1.0, 2.0, 3.0]), [-2.0, -1.0, 3.0]); + let neu = AxisOrder::parse("neu").unwrap(); + assert_eq!(neu.from_native([1.0, 2.0, 3.0]), [2.0, 1.0, 3.0]); + let und = AxisOrder::parse("dne").unwrap(); + assert_eq!(und.from_native([1.0, 2.0, 3.0]), [-3.0, 2.0, 1.0]); + for order in [wsu, swu, neu, und, AxisOrder::ENU] { + let v = [7.5, -3.25, 11.0]; + assert_eq!(order.to_native(order.from_native(v)), v, "{order}"); + } + assert!(AxisOrder::default().is_enu()); + } +} diff --git a/nodedb-crs/src/def/crs_def.rs b/nodedb-crs/src/def/crs_def.rs new file mode 100644 index 000000000..73468583b --- /dev/null +++ b/nodedb-crs/src/def/crs_def.rs @@ -0,0 +1,129 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A complete coordinate reference system definition. + +use serde::{Deserialize, Serialize}; + +use super::area::AreaOfUse; +use super::axis::AxisOrder; +use super::datum::Datum; +use super::unit::LinearUnit; +use crate::method::ProjectionDef; +use crate::srid::Srid; + +pub use nodedb_srid::CrsKind; + +/// One CRS: datum, optional projection, unit, axis order and area of use. +/// +/// Serialized field by field, so a decode reproduces the value exactly. +#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)] +pub struct CrsDef { + pub srid: Srid, + pub name: Box, + pub kind: CrsKind, + pub datum: Datum, + /// The map projection. `None` for a geographic CRS. + pub projection: Option, + /// Unit of projected coordinates. Geographic coordinates are always + /// degrees and ignore it. + pub unit: LinearUnit, + /// Order and direction of the coordinate axes, PROJ `+axis`. + pub axis: AxisOrder, + pub area_of_use: Option, +} + +/// Number of fields in the MessagePack array form of [`CrsDef`]. +const CRS_DEF_FIELDS: usize = 8; + +impl CrsDef { + /// Whether coordinates are longitude / latitude degrees. + pub fn is_geographic(&self) -> bool { + match self.kind { + CrsKind::Geographic => true, + CrsKind::Projected => false, + } + } +} + +impl zerompk::ToMessagePack for CrsDef { + fn write(&self, writer: &mut W) -> zerompk::Result<()> { + writer.write_array_len(CRS_DEF_FIELDS)?; + self.srid.write(writer)?; + writer.write_string(&self.name)?; + self.kind.write(writer)?; + self.datum.write(writer)?; + self.projection.write(writer)?; + self.unit.write(writer)?; + self.axis.write(writer)?; + self.area_of_use.write(writer) + } +} + +impl<'a> zerompk::FromMessagePack<'a> for CrsDef { + fn read>(reader: &mut R) -> zerompk::Result { + reader.check_array_len(CRS_DEF_FIELDS)?; + Ok(CrsDef { + srid: Srid::read(reader)?, + name: String::read(reader)?.into_boxed_str(), + kind: CrsKind::read(reader)?, + datum: Datum::read(reader)?, + projection: Option::::read(reader)?, + unit: LinearUnit::read(reader)?, + axis: AxisOrder::read(reader)?, + area_of_use: Option::::read(reader)?, + }) + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::def::{DatumShift, Ellipsoid, Helmert, RotationConvention}; + use crate::method::TmParams; + + fn sample() -> CrsDef { + let mut helmert = Helmert::position_vector([1.0, -2.5, 3.25, 0.1, 0.2, -0.3, 1.5]); + helmert.convention = RotationConvention::CoordinateFrame; + helmert.accuracy_m = Some(2.0); + helmert.rates = Some(crate::def::HelmertRates::new( + [0.001, -0.002, 0.0, 0.0001, 0.0, -0.0003, 0.01], + 2020.0, + )); + CrsDef { + srid: Srid::new(910_001).unwrap(), + name: "Test TM".into(), + kind: CrsKind::Projected, + datum: Datum { + ellipsoid: Ellipsoid::EVEREST_1830_MODIFIED, + prime_meridian_deg: 2.5, + to_wgs84: DatumShift::Helmert(helmert), + epsg_code: Some(6245), + }, + projection: Some(ProjectionDef::TransverseMercator(TmParams { + lat0_deg: 1.0, + lon0_deg: 102.0, + k0: 0.9999, + false_easting: 1.0e5, + false_northing: -2.0e5, + })), + unit: LinearUnit { + metres_per_unit: 0.3048, + }, + axis: AxisOrder::parse("swu").unwrap(), + area_of_use: AreaOfUse::parse("99,1,105,7").unwrap(), + } + } + + #[test] + fn msgpack_round_trip_is_exact() { + let def = sample(); + let bytes = zerompk::to_msgpack_vec(&def).unwrap(); + let back: CrsDef = zerompk::from_msgpack(&bytes).unwrap(); + assert_eq!(back, def); + } + + #[test] + fn kind_helper() { + assert!(!sample().is_geographic()); + } +} diff --git a/nodedb-crs/src/def/datum.rs b/nodedb-crs/src/def/datum.rs new file mode 100644 index 000000000..4c9ff28cc --- /dev/null +++ b/nodedb-crs/src/def/datum.rs @@ -0,0 +1,420 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geodetic datums, their shift to WGS 84, and the PROJ `+datum` and `+pm` +//! names. + +use serde::{Deserialize, Serialize}; + +use super::ellipsoid::Ellipsoid; +use super::helmert_rates::HelmertRates; + +/// A geodetic datum: an ellipsoid, a prime meridian, and the shift that +/// takes its geocentric coordinates to WGS 84. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct Datum { + pub ellipsoid: Ellipsoid, + /// Prime meridian, degrees east of Greenwich. + pub prime_meridian_deg: f64, + pub to_wgs84: DatumShift, + /// EPSG code of the datum, when the CRS comes from the EPSG table. + /// PROJ strings do not carry it. + pub epsg_code: Option, +} + +/// How a datum's geocentric coordinates map to WGS 84. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum DatumShift { + /// No shift is known. On the WGS 84 ellipsoid this is WGS 84 itself. + /// On any other ellipsoid the datum is unknown, and a transform passes + /// its geodetic coordinates through unchanged, as PROJ does. + Identity, + /// A 3-, 7- or 15-parameter Helmert transformation to WGS 84. + Helmert(Helmert), +} + +/// A Helmert transformation in the small-angle form PROJ `+towgs84` uses, +/// with optional yearly rates for the time-dependent form. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct Helmert { + pub tx_m: f64, + pub ty_m: f64, + pub tz_m: f64, + pub rx_arcsec: f64, + pub ry_arcsec: f64, + pub rz_arcsec: f64, + pub scale_ppm: f64, + pub convention: RotationConvention, + /// Published accuracy of the transformation, metres. + pub accuracy_m: Option, + /// Yearly rates and their reference epoch. `None` for a static + /// transformation. The static parameters above hold at the reference + /// epoch. + pub rates: Option, +} + +/// Sign convention of the Helmert rotations. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum RotationConvention { + /// EPSG method 1033 / 9606. PROJ `+towgs84` uses this convention. + PositionVector, + /// EPSG method 1032 / 9607. Rotations are the negated position-vector + /// rotations. + CoordinateFrame, +} + +impl Helmert { + /// A translation-only transformation. + pub const fn translation(tx_m: f64, ty_m: f64, tz_m: f64) -> Helmert { + Helmert::position_vector([tx_m, ty_m, tz_m, 0.0, 0.0, 0.0, 0.0]) + } + + /// A position-vector transformation from the seven `+towgs84` values: + /// tx, ty, tz metres, rx, ry, rz arc-seconds, scale ppm. + pub const fn position_vector(p: [f64; 7]) -> Helmert { + Helmert { + tx_m: p[0], + ty_m: p[1], + tz_m: p[2], + rx_arcsec: p[3], + ry_arcsec: p[4], + rz_arcsec: p[5], + scale_ppm: p[6], + convention: RotationConvention::PositionVector, + accuracy_m: None, + rates: None, + } + } + + /// Rotations in the position-vector convention, arc-seconds. + pub fn position_vector_rotations(&self) -> [f64; 3] { + let r = [self.rx_arcsec, self.ry_arcsec, self.rz_arcsec]; + match self.convention { + RotationConvention::PositionVector => r, + // 0 − v keeps a zero rotation +0, so it never prints as "-0". + RotationConvention::CoordinateFrame => r.map(|v| 0.0 - v), + } + } + + /// The seven `+towgs84` values, position-vector convention. + pub fn to_towgs84(&self) -> [f64; 7] { + let [rx, ry, rz] = self.position_vector_rotations(); + [self.tx_m, self.ty_m, self.tz_m, rx, ry, rz, self.scale_ppm] + } + + /// The seven rates in `+towgs84` order and position-vector convention, + /// per year, and the reference epoch. `None` for a static + /// transformation. + pub fn position_vector_rates(&self) -> Option<([f64; 7], f64)> { + self.rates.map(|r| { + let mut v = r.values(); + if self.convention == RotationConvention::CoordinateFrame { + for rate in &mut v[3..6] { + // 0 − v keeps a zero rate +0. + *rate = 0.0 - *rate; + } + } + (v, r.reference_epoch) + }) + } + + /// Whether every parameter and every rate is zero. + pub fn is_zero(&self) -> bool { + self.to_towgs84().iter().all(|v| *v == 0.0) + && self + .rates + .is_none_or(|r| r.values().iter().all(|v| *v == 0.0)) + } +} + +impl DatumShift { + /// Whether the shift moves no coordinate: `Identity` or an all-zero + /// Helmert. + pub fn is_null(&self) -> bool { + match self { + DatumShift::Identity => true, + DatumShift::Helmert(h) => h.is_zero(), + } + } + + /// Whether two shifts move coordinates the same way. + pub fn same_effect(&self, other: &DatumShift) -> bool { + match (self, other) { + (DatumShift::Helmert(a), DatumShift::Helmert(b)) => { + a.to_towgs84() == b.to_towgs84() + && a.position_vector_rates() == b.position_vector_rates() + } + (DatumShift::Identity, DatumShift::Helmert(_)) + | (DatumShift::Helmert(_), DatumShift::Identity) + | (DatumShift::Identity, DatumShift::Identity) => self.is_null() && other.is_null(), + } + } +} + +impl Datum { + /// The WGS 84 datum. + pub const WGS84: Datum = Datum { + ellipsoid: Ellipsoid::WGS84, + prime_meridian_deg: 0.0, + to_wgs84: DatumShift::Identity, + epsg_code: None, + }; + + /// Whether the datum's relation to WGS 84 is known: it carries a + /// Helmert shift, or it is WGS 84 itself. + pub fn is_known(&self) -> bool { + match self.to_wgs84 { + DatumShift::Helmert(_) => true, + DatumShift::Identity => self.ellipsoid == Ellipsoid::WGS84, + } + } + + /// Whether two datums are one datum, so a transform between them runs + /// no shift. + /// + /// Equal EPSG codes name one datum, even when the two `to_wgs84` + /// shifts differ: the EPSG table picks each CRS's best shift for its + /// own area of use. PROJ, given the two EPSG codes, applies no shift + /// between a projected CRS and its geographic base either. Without + /// both codes, two datums are one when the ellipsoid matches and the + /// shifts move coordinates the same way. + pub fn same_datum(&self, other: &Datum) -> bool { + match (self.epsg_code, other.epsg_code) { + (Some(a), Some(b)) if a == b => true, + (Some(_) | None, Some(_) | None) => { + self.ellipsoid == other.ellipsoid && self.to_wgs84.same_effect(&other.to_wgs84) + } + } + } +} + +/// A PROJ `+datum` name: its ellipsoid and its `+towgs84` values. +#[derive(Debug, Clone, Copy, PartialEq)] +pub struct NamedDatum { + pub ellipsoid: Ellipsoid, + pub shift: DatumShift, +} + +/// The datum PROJ calls `name` in `+datum`. Grid-based datums such as +/// NAD27 are absent: this crate applies no grid shifts. +pub fn datum_by_proj_name(name: &str) -> Option { + let (ellipsoid, shift) = match name { + "WGS84" => (Ellipsoid::WGS84, DatumShift::Identity), + "NAD83" => ( + Ellipsoid::GRS80, + DatumShift::Helmert(Helmert::translation(0.0, 0.0, 0.0)), + ), + "GGRS87" => ( + Ellipsoid::GRS80, + DatumShift::Helmert(Helmert::translation(-199.87, 74.79, 246.62)), + ), + "potsdam" => ( + Ellipsoid::BESSEL_1841, + DatumShift::Helmert(Helmert::position_vector([ + 598.1, 73.7, 418.2, 0.202, 0.045, -2.455, 6.7, + ])), + ), + "hermannskogel" => ( + Ellipsoid::BESSEL_1841, + DatumShift::Helmert(Helmert::position_vector([ + 577.326, 90.129, 463.919, 5.137, 1.474, 5.297, 2.4232, + ])), + ), + "ire65" => ( + Ellipsoid::AIRY_MODIFIED, + DatumShift::Helmert(Helmert::position_vector([ + 482.530, -130.596, 564.557, -1.042, -0.214, -0.631, 8.15, + ])), + ), + "nzgd49" => ( + Ellipsoid::INTERNATIONAL_1924, + DatumShift::Helmert(Helmert::position_vector([ + 59.47, -5.04, 187.44, 0.47, -0.1, 1.024, -4.5993, + ])), + ), + "OSGB36" => ( + Ellipsoid::AIRY_1830, + DatumShift::Helmert(Helmert::position_vector([ + 446.448, -125.157, 542.060, 0.1502, 0.2470, 0.8421, -20.4894, + ])), + ), + _ => return None, + }; + Some(NamedDatum { ellipsoid, shift }) +} + +/// Seconds in a degree. +const SECONDS_PER_DEGREE: f64 = 3600.0; + +/// Minutes in a degree. +const MINUTES_PER_DEGREE: f64 = 60.0; + +/// Degrees from degrees, minutes and seconds. `east` false gives a west +/// (negative) longitude. +const fn dms(d: f64, m: f64, s: f64, east: bool) -> f64 { + let deg = d + m / MINUTES_PER_DEGREE + s / SECONDS_PER_DEGREE; + if east { deg } else { -deg } +} + +/// PROJ `+pm` names, degrees east of Greenwich, from PROJ's DMS values. +const PRIME_MERIDIANS: &[(&str, f64)] = &[ + ("greenwich", 0.0), + ("lisbon", dms(9.0, 7.0, 54.862, false)), + ("paris", dms(2.0, 20.0, 14.025, true)), + ("bogota", dms(74.0, 4.0, 51.3, false)), + ("madrid", dms(3.0, 41.0, 16.58, false)), + ("rome", dms(12.0, 27.0, 8.4, true)), + ("bern", dms(7.0, 26.0, 22.5, true)), + ("jakarta", dms(106.0, 48.0, 27.79, true)), + ("ferro", dms(17.0, 40.0, 0.0, false)), + ("brussels", dms(4.0, 22.0, 4.71, true)), + ("stockholm", dms(18.0, 3.0, 29.8, true)), + ("athens", dms(23.0, 42.0, 58.815, true)), + ("oslo", dms(10.0, 43.0, 22.5, true)), + ("copenhagen", dms(12.0, 34.0, 40.35, true)), +]; + +/// The prime meridian PROJ calls `name` in `+pm`, degrees east. +pub fn prime_meridian_by_proj_name(name: &str) -> Option { + PRIME_MERIDIANS + .iter() + .find(|(n, _)| *n == name) + .map(|(_, deg)| *deg) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn coordinate_frame_negates_rotations() { + let mut h = Helmert::position_vector([1.0, 2.0, 3.0, 0.1, 0.2, 0.3, 4.0]); + h.convention = RotationConvention::CoordinateFrame; + assert_eq!(h.to_towgs84(), [1.0, 2.0, 3.0, -0.1, -0.2, -0.3, 4.0]); + } + + #[test] + fn at_epoch_adds_rate_times_elapsed_years() { + let mut h = Helmert::position_vector([1.0, 2.0, 3.0, 0.1, 0.2, 0.3, 4.0]); + h.rates = Some(HelmertRates::new( + [0.5, -1.0, 0.25, 0.01, -0.02, 0.03, 0.5], + 2010.0, + )); + assert_eq!(h.at_epoch(2010.0).to_towgs84(), h.to_towgs84()); + let later = h.at_epoch(2012.0); + assert_eq!(later.rates, None); + let want = [2.0, 0.0, 3.5, 0.12, 0.16, 0.36, 5.0]; + for (got, want) in later.to_towgs84().iter().zip(want) { + assert!((got - want).abs() < 1e-12, "{got} {want}"); + } + let fixed = Helmert::translation(1.0, 2.0, 3.0); + assert_eq!(fixed.at_epoch(1950.0), fixed); + } + + #[test] + fn rates_decide_null_and_same_effect() { + let mut moving = Helmert::translation(0.0, 0.0, 0.0); + moving.rates = Some(HelmertRates::new( + [0.0, 0.0, 0.001, 0.0, 0.0, 0.0, 0.0], + 2000.0, + )); + assert!(!moving.is_zero()); + assert!(!DatumShift::Helmert(moving).same_effect(&DatumShift::Identity)); + let mut cf = moving; + cf.convention = RotationConvention::CoordinateFrame; + assert!(DatumShift::Helmert(moving).same_effect(&DatumShift::Helmert(cf))); + let mut rotating = moving; + rotating.rates = Some(HelmertRates::new( + [0.0, 0.0, 0.0, 0.1, 0.0, 0.0, 0.0], + 2000.0, + )); + let mut negated = rotating; + negated.convention = RotationConvention::CoordinateFrame; + negated.rates = Some(HelmertRates::new( + [0.0, 0.0, 0.0, -0.1, 0.0, 0.0, 0.0], + 2000.0, + )); + assert!(DatumShift::Helmert(rotating).same_effect(&DatumShift::Helmert(negated))); + assert!(!DatumShift::Helmert(rotating).same_effect(&DatumShift::Helmert(moving))); + } + + #[test] + fn null_shifts_have_the_same_effect() { + let zero = DatumShift::Helmert(Helmert::translation(0.0, 0.0, 0.0)); + assert!(zero.same_effect(&DatumShift::Identity)); + let moved = DatumShift::Helmert(Helmert::translation(1.0, 0.0, 0.0)); + assert!(!moved.same_effect(&DatumShift::Identity)); + } + + #[test] + fn known_datums() { + assert!(Datum::WGS84.is_known()); + let sphere = Datum { + ellipsoid: Ellipsoid::sphere(6_371_007.181), + ..Datum::WGS84 + }; + assert!(!sphere.is_known()); + } + + #[test] + fn epsg_code_decides_same_datum() { + let shifted = |tx: f64, code: Option| Datum { + ellipsoid: Ellipsoid::INTERNATIONAL_1924, + prime_meridian_deg: 0.0, + to_wgs84: DatumShift::Helmert(Helmert::translation(tx, 0.0, 0.0)), + epsg_code: code, + }; + assert!(shifted(-87.0, Some(6230)).same_datum(&shifted(-90.0, Some(6230)))); + assert!(!shifted(-87.0, Some(6230)).same_datum(&shifted(-90.0, Some(6231)))); + assert!(!shifted(-87.0, None).same_datum(&shifted(-90.0, Some(6230)))); + assert!(shifted(-87.0, Some(6230)).same_datum(&shifted(-87.0, None))); + let wgs84_ellipsoid = Datum { + ellipsoid: Ellipsoid::WGS84, + ..shifted(-191.9, Some(6756)) + }; + assert!(!wgs84_ellipsoid.same_datum(&Datum::WGS84)); + } + + #[test] + fn paris_meridian() { + let paris = prime_meridian_by_proj_name("paris").unwrap(); + assert!((paris - 2.337_229_166_667).abs() < 1e-11); + assert!(datum_by_proj_name("NAD27").is_none()); + } +} diff --git a/nodedb-crs/src/def/ellipsoid.rs b/nodedb-crs/src/def/ellipsoid.rs new file mode 100644 index 000000000..09b25d46e --- /dev/null +++ b/nodedb-crs/src/def/ellipsoid.rs @@ -0,0 +1,349 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Reference ellipsoids and the PROJ `+ellps` names. + +use serde::{Deserialize, Serialize}; + +/// An ellipsoid of revolution, defined by its semi-major axis and inverse +/// flattening. `inv_f == 0` marks a sphere. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct Ellipsoid { + /// Semi-major axis in metres. + pub a: f64, + /// Inverse flattening 1/f, or 0 for a sphere. + pub inv_f: f64, +} + +/// Build an ellipsoid from a and b, the form PROJ uses for some names. +const fn from_a_b(a: f64, b: f64) -> Ellipsoid { + if a == b { + Ellipsoid { a, inv_f: 0.0 } + } else { + Ellipsoid { + a, + inv_f: a / (a - b), + } + } +} + +impl Ellipsoid { + /// WGS 84 (EPSG:7030). + pub const WGS84: Ellipsoid = Ellipsoid { + a: 6_378_137.0, + inv_f: 298.257_223_563, + }; + /// GRS 1980 (EPSG:7019). + pub const GRS80: Ellipsoid = Ellipsoid { + a: 6_378_137.0, + inv_f: 298.257_222_101, + }; + /// WGS 72 (EPSG:7043). + pub const WGS72: Ellipsoid = Ellipsoid { + a: 6_378_135.0, + inv_f: 298.26, + }; + /// Everest 1830 (1937 adjustment), PROJ `evrst30`. + pub const EVEREST_1830: Ellipsoid = Ellipsoid { + a: 6_377_276.345, + inv_f: 300.8017, + }; + /// Everest (Sabah and Sarawak), PROJ `evrstSS`. + pub const EVEREST_SABAH_SARAWAK: Ellipsoid = Ellipsoid { + a: 6_377_298.556, + inv_f: 300.8017, + }; + /// Everest 1830 Modified, the Kertau ellipsoid (EPSG:7018), PROJ `evrst48`. + pub const EVEREST_1830_MODIFIED: Ellipsoid = Ellipsoid { + a: 6_377_304.063, + inv_f: 300.8017, + }; + /// Everest 1956, PROJ `evrst56`. + pub const EVEREST_1956: Ellipsoid = Ellipsoid { + a: 6_377_301.243, + inv_f: 300.8017, + }; + /// Everest 1969, PROJ `evrst69`. + pub const EVEREST_1969: Ellipsoid = Ellipsoid { + a: 6_377_295.664, + inv_f: 300.8017, + }; + /// International 1924, PROJ `intl`. + pub const INTERNATIONAL_1924: Ellipsoid = Ellipsoid { + a: 6_378_388.0, + inv_f: 297.0, + }; + /// Clarke 1866, PROJ `clrk66`. + pub const CLARKE_1866: Ellipsoid = from_a_b(6_378_206.4, 6_356_583.8); + /// Clarke 1880 (modified), PROJ `clrk80`. + pub const CLARKE_1880: Ellipsoid = Ellipsoid { + a: 6_378_249.145, + inv_f: 293.4663, + }; + /// Clarke 1880 (IGN), PROJ `clrk80ign`. + pub const CLARKE_1880_IGN: Ellipsoid = Ellipsoid { + a: 6_378_249.2, + inv_f: 293.466_021_293_626_9, + }; + /// Bessel 1841, PROJ `bessel`. + pub const BESSEL_1841: Ellipsoid = Ellipsoid { + a: 6_377_397.155, + inv_f: 299.152_812_8, + }; + /// Bessel 1841 (Namibia), PROJ `bess_nam`. + pub const BESSEL_NAMIBIA: Ellipsoid = Ellipsoid { + a: 6_377_483.865, + inv_f: 299.152_812_8, + }; + /// Krassovsky 1940, PROJ `krass`. + pub const KRASSOVSKY: Ellipsoid = Ellipsoid { + a: 6_378_245.0, + inv_f: 298.3, + }; + /// Airy 1830, PROJ `airy`. + pub const AIRY_1830: Ellipsoid = Ellipsoid { + a: 6_377_563.396, + inv_f: 299.324_964_6, + }; + /// Airy Modified 1849, PROJ `mod_airy`. + pub const AIRY_MODIFIED: Ellipsoid = from_a_b(6_377_340.189, 6_356_034.446); + /// Australian National and South American 1969, PROJ `aust_SA`. + pub const AUSTRALIAN_SA: Ellipsoid = Ellipsoid { + a: 6_378_160.0, + inv_f: 298.25, + }; + /// Helmert 1906, PROJ `helmert`. + pub const HELMERT_1906: Ellipsoid = Ellipsoid { + a: 6_378_200.0, + inv_f: 298.3, + }; + /// GRS 1967, PROJ `GRS67`. + pub const GRS67: Ellipsoid = Ellipsoid { + a: 6_378_160.0, + inv_f: 298.247_167_427, + }; + /// WGS 66, PROJ `WGS66`. + pub const WGS66: Ellipsoid = Ellipsoid { + a: 6_378_145.0, + inv_f: 298.25, + }; + /// IAU 1976, PROJ `IAU76`. + pub const IAU76: Ellipsoid = Ellipsoid { + a: 6_378_140.0, + inv_f: 298.257, + }; + /// PZ-90, PROJ `PZ90`. + pub const PZ90: Ellipsoid = Ellipsoid { + a: 6_378_136.0, + inv_f: 298.257_84, + }; + /// GSK-2011, PROJ `GSK2011`. + pub const GSK2011: Ellipsoid = Ellipsoid { + a: 6_378_136.5, + inv_f: 298.256_415_1, + }; + /// Fischer (Mercury Datum) 1960 modified, PROJ `fschr60m`. + pub const FISCHER_1960_MODIFIED: Ellipsoid = Ellipsoid { + a: 6_378_155.0, + inv_f: 298.3, + }; + /// Naval Weapons Lab 1965, PROJ `NWL9D`. Same values as WGS 66. + pub const NWL9D: Ellipsoid = Ellipsoid { + a: 6_378_145.0, + inv_f: 298.25, + }; + /// Hough, PROJ `hough`. + pub const HOUGH: Ellipsoid = Ellipsoid { + a: 6_378_270.0, + inv_f: 297.0, + }; + /// Andrae 1876, PROJ `andrae`. + pub const ANDRAE: Ellipsoid = Ellipsoid { + a: 6_377_104.43, + inv_f: 300.0, + }; + /// New International 1967, PROJ `new_intl`. + pub const NEW_INTERNATIONAL_1967: Ellipsoid = from_a_b(6_378_157.5, 6_356_772.2); + /// Southeast Asia, PROJ `SEasia`. + pub const SOUTHEAST_ASIA: Ellipsoid = from_a_b(6_378_155.0, 6_356_773.320_5); + /// Walbeck, PROJ `walbeck`. + pub const WALBECK: Ellipsoid = from_a_b(6_376_896.0, 6_355_834.846_7); + /// The PROJ `sphere`, radius 6 370 997 m. + pub const SPHERE: Ellipsoid = Ellipsoid { + a: 6_370_997.0, + inv_f: 0.0, + }; + + /// A sphere of radius `r` metres. + pub const fn sphere(r: f64) -> Ellipsoid { + Ellipsoid { a: r, inv_f: 0.0 } + } + + /// Whether this is a sphere. + pub fn is_sphere(&self) -> bool { + self.inv_f == 0.0 + } + + /// Flattening f, 0 for a sphere. + pub fn f(&self) -> f64 { + if self.is_sphere() { + 0.0 + } else { + 1.0 / self.inv_f + } + } + + /// Semi-minor axis b = a(1 − f). + pub fn b(&self) -> f64 { + self.a * (1.0 - self.f()) + } + + /// First eccentricity squared, e² = f(2 − f). + pub fn e2(&self) -> f64 { + let f = self.f(); + f * (2.0 - f) + } + + /// First eccentricity e. + pub fn e(&self) -> f64 { + self.e2().sqrt() + } + + /// Third flattening n = f / (2 − f). + pub fn n(&self) -> f64 { + let f = self.f(); + f / (2.0 - f) + } + + /// The ellipsoid PROJ calls `name` in `+ellps`. + pub fn by_proj_name(name: &str) -> Option { + NAMED + .iter() + .find(|(n, _)| *n == name) + .map(|(_, ellipsoid)| *ellipsoid) + } + + /// The ellipsoid with EPSG code `code`, for the ellipsoids this crate + /// names. + pub fn by_epsg_code(code: u16) -> Option { + BY_EPSG_CODE + .iter() + .find(|(c, _)| *c == code) + .map(|(_, ellipsoid)| *ellipsoid) + } + + /// A PROJ `+ellps` name of this exact ellipsoid, if it has one. Where + /// two names share values, the first in the table wins. + pub fn proj_name(&self) -> Option<&'static str> { + NAMED + .iter() + .find(|(_, ellipsoid)| ellipsoid == self) + .map(|(n, _)| *n) + } +} + +/// EPSG ellipsoid codes of the named ellipsoids. +const BY_EPSG_CODE: &[(u16, Ellipsoid)] = &[ + (7001, Ellipsoid::AIRY_1830), + (7003, Ellipsoid::AUSTRALIAN_SA), + (7004, Ellipsoid::BESSEL_1841), + (7008, Ellipsoid::CLARKE_1866), + (7015, Ellipsoid::EVEREST_1830), + (7016, Ellipsoid::EVEREST_SABAH_SARAWAK), + (7018, Ellipsoid::EVEREST_1830_MODIFIED), + (7019, Ellipsoid::GRS80), + (7022, Ellipsoid::INTERNATIONAL_1924), + (7024, Ellipsoid::KRASSOVSKY), + (7030, Ellipsoid::WGS84), + (7036, Ellipsoid::GRS67), + (7043, Ellipsoid::WGS72), + (7044, Ellipsoid::EVEREST_1956), + (7056, Ellipsoid::EVEREST_1969), +]; + +/// PROJ `+ellps` names with their exact defining values. +const NAMED: &[(&str, Ellipsoid)] = &[ + ("WGS84", Ellipsoid::WGS84), + ("GRS80", Ellipsoid::GRS80), + ("WGS72", Ellipsoid::WGS72), + ("evrst30", Ellipsoid::EVEREST_1830), + ("evrstSS", Ellipsoid::EVEREST_SABAH_SARAWAK), + ("evrst48", Ellipsoid::EVEREST_1830_MODIFIED), + ("evrst56", Ellipsoid::EVEREST_1956), + ("evrst69", Ellipsoid::EVEREST_1969), + ("intl", Ellipsoid::INTERNATIONAL_1924), + ("clrk66", Ellipsoid::CLARKE_1866), + ("clrk80", Ellipsoid::CLARKE_1880), + ("clrk80ign", Ellipsoid::CLARKE_1880_IGN), + ("bessel", Ellipsoid::BESSEL_1841), + ("bess_nam", Ellipsoid::BESSEL_NAMIBIA), + ("krass", Ellipsoid::KRASSOVSKY), + ("airy", Ellipsoid::AIRY_1830), + ("mod_airy", Ellipsoid::AIRY_MODIFIED), + ("aust_SA", Ellipsoid::AUSTRALIAN_SA), + ("helmert", Ellipsoid::HELMERT_1906), + ("GRS67", Ellipsoid::GRS67), + ("WGS66", Ellipsoid::WGS66), + ("IAU76", Ellipsoid::IAU76), + ("PZ90", Ellipsoid::PZ90), + ("GSK2011", Ellipsoid::GSK2011), + ("NWL9D", Ellipsoid::NWL9D), + ("fschr60m", Ellipsoid::FISCHER_1960_MODIFIED), + ("hough", Ellipsoid::HOUGH), + ("andrae", Ellipsoid::ANDRAE), + ("new_intl", Ellipsoid::NEW_INTERNATIONAL_1967), + ("SEasia", Ellipsoid::SOUTHEAST_ASIA), + ("walbeck", Ellipsoid::WALBECK), + ("sphere", Ellipsoid::SPHERE), +]; + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn grs80_and_wgs84_differ_only_in_flattening() { + assert_eq!(Ellipsoid::GRS80.a, Ellipsoid::WGS84.a); + assert!((Ellipsoid::GRS80.e2() - 0.006_694_380_022_90).abs() < 1e-14); + assert!((Ellipsoid::WGS84.e2() - 0.006_694_379_990_14).abs() < 1e-14); + } + + #[test] + fn sphere_has_no_flattening() { + let s = Ellipsoid::sphere(6_371_007.181); + assert_eq!(s.f(), 0.0); + assert_eq!(s.e(), 0.0); + assert_eq!(s.b(), s.a); + } + + #[test] + fn names_round_trip() { + for (name, ellipsoid) in NAMED { + assert_eq!(Ellipsoid::by_proj_name(name), Some(*ellipsoid)); + let canonical = ellipsoid.proj_name().and_then(Ellipsoid::by_proj_name); + assert_eq!(canonical, Some(*ellipsoid)); + } + assert_eq!(Ellipsoid::by_proj_name("nope"), None); + } + + #[test] + fn epsg_codes() { + assert_eq!(Ellipsoid::by_epsg_code(7030), Some(Ellipsoid::WGS84)); + assert_eq!(Ellipsoid::by_epsg_code(7019), Some(Ellipsoid::GRS80)); + assert_eq!(Ellipsoid::by_epsg_code(7000), None); + } + + #[test] + fn a_b_form_keeps_b() { + let c = Ellipsoid::CLARKE_1866; + assert!((c.b() - 6_356_583.8).abs() < 1e-6); + } +} diff --git a/nodedb-crs/src/def/epoch.rs b/nodedb-crs/src/def/epoch.rs new file mode 100644 index 000000000..45ce409f5 --- /dev/null +++ b/nodedb-crs/src/def/epoch.rs @@ -0,0 +1,65 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The coordinate epoch: the decimal year a set of coordinates refers to. + +use crate::error::InvalidEpoch; + +/// Earliest coordinate epoch accepted, decimal year. +pub const MIN_COORDINATE_EPOCH: f64 = 1900.0; + +/// Latest coordinate epoch accepted, decimal year. +pub const MAX_COORDINATE_EPOCH: f64 = 2200.0; + +/// A coordinate epoch, a decimal year in +/// [`MIN_COORDINATE_EPOCH`]`..=`[`MAX_COORDINATE_EPOCH`]. +/// +/// A time-dependent Helmert transformation evaluates its parameters at this +/// epoch. +#[derive(Debug, Clone, Copy, PartialEq, PartialOrd)] +pub struct CoordinateEpoch(f64); + +impl CoordinateEpoch { + /// The epoch `year`. A non-finite or out-of-range year is refused. + pub fn new(year: f64) -> Result { + if (MIN_COORDINATE_EPOCH..=MAX_COORDINATE_EPOCH).contains(&year) { + Ok(CoordinateEpoch(year)) + } else { + Err(InvalidEpoch { epoch: year }) + } + } + + /// The decimal year. + pub fn year(self) -> f64 { + self.0 + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn range_is_inclusive() { + assert_eq!( + CoordinateEpoch::new(1900.0).map(CoordinateEpoch::year), + Ok(1900.0) + ); + assert_eq!( + CoordinateEpoch::new(2200.0).map(CoordinateEpoch::year), + Ok(2200.0) + ); + assert_eq!( + CoordinateEpoch::new(2020.5).map(CoordinateEpoch::year), + Ok(2020.5) + ); + } + + #[test] + fn out_of_range_and_non_finite_are_refused() { + for year in [1899.999, 2200.001, f64::NAN, f64::INFINITY, -2020.0] { + let err = CoordinateEpoch::new(year).unwrap_err(); + assert!(err.epoch.is_nan() || err.epoch == year); + assert!(err.to_string().contains("1900"), "{err}"); + } + } +} diff --git a/nodedb-crs/src/def/helmert_rates.rs b/nodedb-crs/src/def/helmert_rates.rs new file mode 100644 index 000000000..ceb0c3dcb --- /dev/null +++ b/nodedb-crs/src/def/helmert_rates.rs @@ -0,0 +1,77 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Rates of change of the seven Helmert parameters: the time-dependent +//! (15-parameter) Helmert transformation, IOGP Guidance Note 7-2 §4.2.5, +//! EPSG methods 1053 to 1058. + +use serde::{Deserialize, Serialize}; + +/// Yearly rates of the seven Helmert parameters and the epoch the static +/// parameters hold at. +/// +/// At coordinate epoch t each parameter p takes the value +/// p + ṗ (t − t0), where t0 is `reference_epoch`. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct HelmertRates { + pub dtx_m_per_yr: f64, + pub dty_m_per_yr: f64, + pub dtz_m_per_yr: f64, + pub drx_arcsec_per_yr: f64, + pub dry_arcsec_per_yr: f64, + pub drz_arcsec_per_yr: f64, + pub dscale_ppm_per_yr: f64, + /// Parameter reference epoch t0, decimal year. + pub reference_epoch: f64, +} + +impl HelmertRates { + /// Rates from the seven values in `+towgs84` order: tx, ty, tz metres + /// per year, rx, ry, rz arc-seconds per year, scale ppm per year. + pub const fn new(rates: [f64; 7], reference_epoch: f64) -> HelmertRates { + HelmertRates { + dtx_m_per_yr: rates[0], + dty_m_per_yr: rates[1], + dtz_m_per_yr: rates[2], + drx_arcsec_per_yr: rates[3], + dry_arcsec_per_yr: rates[4], + drz_arcsec_per_yr: rates[5], + dscale_ppm_per_yr: rates[6], + reference_epoch, + } + } + + /// The seven rates in `+towgs84` order, in the stored rotation + /// convention. + pub fn values(&self) -> [f64; 7] { + [ + self.dtx_m_per_yr, + self.dty_m_per_yr, + self.dtz_m_per_yr, + self.drx_arcsec_per_yr, + self.dry_arcsec_per_yr, + self.drz_arcsec_per_yr, + self.dscale_ppm_per_yr, + ] + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn values_follow_towgs84_order() { + let r = HelmertRates::new([1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0], 2010.0); + assert_eq!(r.values(), [1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0]); + assert_eq!(r.reference_epoch, 2010.0); + } +} diff --git a/nodedb-crs/src/def/mod.rs b/nodedb-crs/src/def/mod.rs new file mode 100644 index 000000000..f88cfa7b8 --- /dev/null +++ b/nodedb-crs/src/def/mod.rs @@ -0,0 +1,24 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! CRS definition types. + +pub mod area; +pub mod axis; +pub mod crs_def; +pub mod datum; +pub mod ellipsoid; +pub mod epoch; +pub mod helmert_rates; +pub mod unit; + +pub use area::AreaOfUse; +pub use axis::{AxisDirection, AxisOrder}; +pub use crs_def::{CrsDef, CrsKind}; +pub use datum::{ + Datum, DatumShift, Helmert, NamedDatum, RotationConvention, datum_by_proj_name, + prime_meridian_by_proj_name, +}; +pub use ellipsoid::Ellipsoid; +pub use epoch::{CoordinateEpoch, MAX_COORDINATE_EPOCH, MIN_COORDINATE_EPOCH}; +pub use helmert_rates::HelmertRates; +pub use unit::LinearUnit; diff --git a/nodedb-crs/src/def/unit.rs b/nodedb-crs/src/def/unit.rs new file mode 100644 index 000000000..d036e01f2 --- /dev/null +++ b/nodedb-crs/src/def/unit.rs @@ -0,0 +1,131 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Linear units of projected coordinates and the PROJ `+units` names. + +use serde::{Deserialize, Serialize}; + +/// A linear unit, as a length in metres. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct LinearUnit { + pub metres_per_unit: f64, +} + +impl LinearUnit { + /// The metre. + pub const METRE: LinearUnit = LinearUnit { + metres_per_unit: 1.0, + }; + + /// The unit PROJ calls `name` in `+units`. + pub fn by_proj_name(name: &str) -> Option { + NAMED + .iter() + .find(|(n, _)| *n == name) + .map(|(_, metres_per_unit)| LinearUnit { + metres_per_unit: *metres_per_unit, + }) + } + + /// The unit with EPSG code `code`, for the length units this crate + /// names. + pub fn by_epsg_code(code: u16) -> Option { + BY_EPSG_CODE + .iter() + .find(|(c, _)| *c == code) + .map(|(_, metres_per_unit)| LinearUnit { + metres_per_unit: *metres_per_unit, + }) + } + + /// The PROJ `+units` name of this exact unit, if it has one. + pub fn proj_name(&self) -> Option<&'static str> { + NAMED + .iter() + .find(|(_, m)| *m == self.metres_per_unit) + .map(|(n, _)| *n) + } +} + +impl Default for LinearUnit { + fn default() -> Self { + LinearUnit::METRE + } +} + +/// Metres per US survey inch: 100/3937, the US survey foot divided by 12. +const US_INCH: f64 = 100.0 / 3937.0; + +/// PROJ `+units` names with metres per unit. +const NAMED: &[(&str, f64)] = &[ + ("m", 1.0), + ("km", 1000.0), + ("dm", 0.1), + ("cm", 0.01), + ("mm", 0.001), + ("kmi", 1852.0), + ("in", 0.0254), + ("ft", 0.3048), + ("yd", 0.9144), + ("mi", 1609.344), + ("fath", 1.8288), + ("ch", 20.1168), + ("link", 0.201_168), + ("us-in", US_INCH), + ("us-ft", 1200.0 / 3937.0), + ("us-yd", 36.0 * US_INCH), + ("us-ch", 792.0 * US_INCH), + ("us-mi", 63_360.0 * US_INCH), + ("ind-yd", 0.914_395_23), + ("ind-ft", 0.304_798_41), + ("ind-ch", 20.116_695_06), +]; + +/// EPSG length unit codes with metres per unit: metre, foot, US survey +/// foot and kilometre. +const BY_EPSG_CODE: &[(u16, f64)] = &[ + (9001, 1.0), + (9002, 0.3048), + (9003, 1200.0 / 3937.0), + (9036, 1000.0), +]; + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn epsg_codes_name_their_length() { + let metres = |code| LinearUnit::by_epsg_code(code).map(|u| u.metres_per_unit); + assert_eq!(metres(9001), Some(1.0)); + assert_eq!(metres(9002), Some(0.3048)); + assert_eq!(metres(9003), Some(1200.0 / 3937.0)); + assert_eq!(metres(9036), Some(1000.0)); + assert_eq!(metres(9999), None); + } + + #[test] + fn us_survey_foot_is_1200_over_3937() { + let ft = LinearUnit::by_proj_name("us-ft").map(|u| u.metres_per_unit); + assert!(ft.is_some_and(|m| (m - 1200.0 / 3937.0).abs() < 1e-15)); + } + + #[test] + fn names_round_trip() { + for (name, m) in NAMED { + let unit = LinearUnit { + metres_per_unit: *m, + }; + assert_eq!(LinearUnit::by_proj_name(name), Some(unit)); + assert_eq!(unit.proj_name(), Some(*name)); + } + } +} diff --git a/nodedb-crs/src/error.rs b/nodedb-crs/src/error.rs new file mode 100644 index 000000000..c81eff6ea --- /dev/null +++ b/nodedb-crs/src/error.rs @@ -0,0 +1,133 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Errors for SRID resolution, PROJ-string parsing and coordinate transforms. + +pub use nodedb_srid::{CrsParseError, NotUserSrid, UnknownSrid}; + +use crate::srid::Srid; + +/// Any error a CRS operation reports. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum CrsError { + /// The coordinate lies outside the region where a projection is defined + /// or accurate. + #[error("coordinate ({x}, {y}) is outside the domain of SRID {srid}: {reason}")] + OutOfDomain { + srid: Srid, + x: f64, + y: f64, + reason: DomainReason, + }, + #[error(transparent)] + Unknown(#[from] UnknownSrid), + #[error(transparent)] + Parse(#[from] CrsParseError), + #[error(transparent)] + Epoch(#[from] InvalidEpoch), + #[error(transparent)] + ProjExport(#[from] ProjExportError), +} + +/// Why a coordinate is outside a projection's domain. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum DomainReason { + /// An ordinate is NaN or infinite. + NonFinite, + /// Latitude is beyond ±90°. + LatitudeRange, + /// Longitude is too far from a Transverse Mercator central meridian for + /// the Krüger series to hold. + CentralMeridianOffset, + /// The Hotine Oblique Mercator U term reaches ±1, where the projection + /// diverges. + ObliqueSingularity, + /// The point is a pole or a singular point the projection maps to + /// infinity. + Singularity, + /// Latitude is beyond the projection's limit, such as ±85.06° for + /// Pseudo-Mercator. + LatitudeLimit, + /// A geostationary view does not see the point. + NotVisible, + /// The point is the antipode of an azimuthal projection's centre. + Antipode, + /// Projected coordinates fall outside the area the projection maps. + OutsideProjection, + /// An iterative inverse did not converge. + NoConvergence, +} + +impl core::fmt::Display for DomainReason { + fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result { + f.write_str(match self { + DomainReason::NonFinite => "non-finite ordinate", + DomainReason::LatitudeRange => "latitude beyond ±90°", + DomainReason::CentralMeridianOffset => "too far from the central meridian", + DomainReason::ObliqueSingularity => "on the oblique projection's singular line", + DomainReason::Singularity => "at a point the projection maps to infinity", + DomainReason::LatitudeLimit => "latitude beyond the projection's limit", + DomainReason::NotVisible => "not visible from the geostationary satellite", + DomainReason::Antipode => "at the antipode of the projection centre", + DomainReason::OutsideProjection => "outside the area the projection maps", + DomainReason::NoConvergence => "the inverse projection did not converge", + }) + } +} + +/// A coordinate epoch outside the accepted range, or not a finite number. +#[derive(Debug, Clone, Copy, PartialEq, thiserror::Error)] +#[error( + "coordinate epoch {epoch} is outside {min}..={max} decimal years", + min = crate::def::MIN_COORDINATE_EPOCH, + max = crate::def::MAX_COORDINATE_EPOCH +)] +pub struct InvalidEpoch { + /// The epoch given, decimal year. + pub epoch: f64, +} + +/// A definition a PROJ string cannot express. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +pub enum ProjExportError { + /// `+towgs84` has no rates, so a time-dependent Helmert shift has no + /// PROJ-string form. PROJ refuses the same export. + #[error( + "SRID {srid} has a time-dependent datum shift, which a PROJ string cannot carry; \ + use WKT2 or PROJJSON" + )] + TimeDependentShift { srid: Srid }, +} + +/// A change to a [`CustomCrsSet`](crate::CustomCrsSet) that the set refuses. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +pub enum CustomCrsError { + /// User-defined CRSs take codes from the user range only. + #[error(transparent)] + NotUserCode(#[from] NotUserSrid), + /// A live CRS already has this code. + #[error("SRID {srid} is already defined")] + Exists { srid: Srid }, + /// The code belonged to a dropped CRS. Dropped codes stay retired, so + /// stored data never changes meaning. + #[error("SRID {srid} was dropped and cannot be reused")] + WasDropped { srid: Srid }, + /// No live CRS has this code. + #[error("SRID {srid} is not a live user-defined CRS")] + NotFound { srid: Srid }, +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn messages_name_the_input() { + let err = CrsError::from(UnknownSrid::Undefined { code: 2154 }); + assert!(err.to_string().contains("2154")); + let err = CrsError::from(InvalidEpoch { epoch: 2300.0 }); + assert!(err.to_string().contains("2300"), "{err}"); + let srid = Srid::new(910_001).unwrap(); + let err = CrsError::from(ProjExportError::TimeDependentShift { srid }); + assert!(err.to_string().contains("910001"), "{err}"); + } +} diff --git a/nodedb-crs/src/geo_transform.rs b/nodedb-crs/src/geo_transform.rs new file mode 100644 index 000000000..edb8e658b --- /dev/null +++ b/nodedb-crs/src/geo_transform.rs @@ -0,0 +1,174 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The GDAL-order affine geotransform between pixel and world positions. +//! Arrays, raster readers and raster loads share this one type. + +use serde::{Deserialize, Serialize}; + +/// Affine pixel-to-world transform in GDAL coefficient order. +/// +/// For a continuous pixel position `(u, v)`, `u` along the column axis and +/// `v` along the row axis: +/// +/// - `X = GT0 + u·GT1 + v·GT2` +/// - `Y = GT3 + u·GT4 + v·GT5` +/// +/// Pixel `(i, j)` covers `[i, i+1) × [j, j+1)`. Its centre is `(i+0.5, j+0.5)`. +#[derive( + Debug, Clone, Copy, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, +)] +pub struct GeoTransform(pub [f64; 6]); + +impl PartialEq for GeoTransform { + /// Bitwise equality. Validation admits finite coefficients only, so + /// this is equality of the stored values. + fn eq(&self, other: &Self) -> bool { + self.0 + .iter() + .zip(other.0.iter()) + .all(|(a, b)| a.to_bits() == b.to_bits()) + } +} + +impl Eq for GeoTransform {} + +impl GeoTransform { + /// `GT1·GT5 − GT2·GT4`. Zero means the transform has no inverse. + pub fn determinant(&self) -> f64 { + let [_, gt1, gt2, _, gt4, gt5] = self.0; + gt1 * gt5 - gt2 * gt4 + } + + /// Whether every coefficient is finite and the determinant is finite + /// and non-zero. + pub fn is_invertible(&self) -> bool { + let det = self.determinant(); + self.0.iter().all(|c| c.is_finite()) && det != 0.0 && det.is_finite() + } + + /// World position of the continuous pixel position `(u, v)`. + pub fn pixel_to_world(&self, u: f64, v: f64) -> (f64, f64) { + let [gt0, gt1, gt2, gt3, gt4, gt5] = self.0; + (gt0 + u * gt1 + v * gt2, gt3 + u * gt4 + v * gt5) + } + + /// World position of the centre of pixel `(i, j)`. + pub fn cell_centre(&self, i: i64, j: i64) -> (f64, f64) { + self.pixel_to_world(i as f64 + 0.5, j as f64 + 0.5) + } + + /// Continuous pixel position of the world position `(x, y)`. + /// + /// Returns `None` when the determinant is zero or not finite. + pub fn world_to_pixel(&self, x: f64, y: f64) -> Option<(f64, f64)> { + let det = self.determinant(); + if det == 0.0 || !det.is_finite() { + return None; + } + let [gt0, gt1, gt2, gt3, gt4, gt5] = self.0; + let dx = x - gt0; + let dy = y - gt3; + Some(((gt5 * dx - gt2 * dy) / det, (gt1 * dy - gt4 * dx) / det)) + } + + /// Index of the pixel that holds the world position `(x, y)`. + /// + /// Returns `None` when the transform has no inverse or the index falls + /// outside `i64`. + pub fn world_to_cell(&self, x: f64, y: f64) -> Option<(i64, i64)> { + let (u, v) = self.world_to_pixel(x, y)?; + Some((floor_to_i64(u)?, floor_to_i64(v)?)) + } +} + +/// `floor(value)` as `i64`. `None` for a non-finite or out-of-range value. +fn floor_to_i64(value: f64) -> Option { + let floored = value.floor(); + // `i64::MAX as f64` rounds up to 2^63, which is outside `i64`. + if floored.is_finite() && floored >= i64::MIN as f64 && floored < i64::MAX as f64 { + Some(floored as i64) + } else { + None + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const EPS: f64 = 1e-9; + + fn assert_close(a: (f64, f64), b: (f64, f64), eps: f64) { + assert!( + (a.0 - b.0).abs() <= eps && (a.1 - b.1).abs() <= eps, + "{a:?} != {b:?}" + ); + } + + #[test] + fn north_up_centre_is_index_plus_half() { + let gt = GeoTransform([100_000.0, 10.0, 0.0, 200_000.0, 0.0, -10.0]); + assert_close(gt.cell_centre(0, 0), (100_005.0, 199_995.0), EPS); + assert_close(gt.cell_centre(3, 2), (100_035.0, 199_975.0), EPS); + } + + #[test] + fn centre_inverse_round_trip_north_up() { + let gt = GeoTransform([100_000.0, 10.0, 0.0, 200_000.0, 0.0, -10.0]); + for (i, j) in [(0, 0), (7, 3), (255, 191), (-4, 9)] { + let (x, y) = gt.cell_centre(i, j); + let (u, v) = gt.world_to_pixel(x, y).unwrap(); + assert_close((u, v), (i as f64 + 0.5, j as f64 + 0.5), EPS); + assert_eq!(gt.world_to_cell(x, y), Some((i, j))); + } + } + + #[test] + fn centre_inverse_round_trip_rotated() { + let gt = GeoTransform([500_000.0, 8.660254, 5.0, 4_000_000.0, 5.0, -8.660254]); + assert!(gt.determinant().abs() > 0.0); + for (i, j) in [(0, 0), (12, 40), (1023, 511)] { + let (x, y) = gt.cell_centre(i, j); + let (u, v) = gt.world_to_pixel(x, y).unwrap(); + assert_close((u, v), (i as f64 + 0.5, j as f64 + 0.5), 1e-6); + assert_eq!(gt.world_to_cell(x, y), Some((i, j))); + } + } + + #[test] + fn centre_inverse_round_trip_geographic_exponent() { + let res = 8.983152841195214e-05; + let gt = GeoTransform([100.5, res, 0.0, 6.5, 0.0, -res]); + let (x, y) = gt.cell_centre(0, 0); + assert_close((x, y), (100.5 + res / 2.0, 6.5 - res / 2.0), 1e-15); + for (i, j) in [(0, 0), (100, 200), (11_131, 5_000)] { + let (x, y) = gt.cell_centre(i, j); + let (u, v) = gt.world_to_pixel(x, y).unwrap(); + assert_close((u, v), (i as f64 + 0.5, j as f64 + 0.5), 1e-6); + assert_eq!(gt.world_to_cell(x, y), Some((i, j))); + } + } + + #[test] + fn singular_transform_has_no_inverse() { + let gt = GeoTransform([0.0, 1.0, 2.0, 0.0, 2.0, 4.0]); + assert_eq!(gt.determinant(), 0.0); + assert!(gt.world_to_pixel(1.0, 1.0).is_none()); + assert!(gt.world_to_cell(1.0, 1.0).is_none()); + } + + #[test] + fn out_of_range_index_is_none() { + let gt = GeoTransform([0.0, 1e-10, 0.0, 0.0, 0.0, -1e-10]); + assert!(gt.world_to_pixel(1e10, -1.0).is_some()); + assert!(gt.world_to_cell(1e10, -1.0).is_none()); + } + + #[test] + fn invertible_needs_finite_terms_and_a_non_zero_determinant() { + assert!(GeoTransform([0.0, 1.0, 0.0, 0.0, 0.0, -1.0]).is_invertible()); + assert!(!GeoTransform([0.0, 1.0, 2.0, 0.0, 2.0, 4.0]).is_invertible()); + assert!(!GeoTransform([f64::NAN, 1.0, 0.0, 0.0, 0.0, -1.0]).is_invertible()); + assert!(!GeoTransform([0.0; 6]).is_invertible()); + } +} diff --git a/nodedb-crs/src/lib.rs b/nodedb-crs/src/lib.rs new file mode 100644 index 000000000..4ff2d5bc6 --- /dev/null +++ b/nodedb-crs/src/lib.rs @@ -0,0 +1,50 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Coordinate reference systems for NodeDB. +//! +//! An [`Srid`] names a CRS. A [`CrsContext`] resolves it to a [`CrsDef`]: +//! user-defined CRSs first, then the built-in EPSG table. A [`Transformer`] +//! maps coordinates between two definitions, at a [`CoordinateEpoch`] when a +//! datum shift is time-dependent. A definition reads from and +//! writes to PROJ strings, WKT2 and PROJJSON. +//! +//! The crate does no file or network I/O, so it builds for +//! `wasm32-unknown-unknown`. + +pub mod datum; +pub mod def; +pub mod error; +pub mod geo_transform; +pub mod method; +pub mod parse; +pub mod registry; +pub mod transform; + +pub use nodedb_srid::srid; + +pub use def::{ + AreaOfUse, AxisDirection, AxisOrder, CoordinateEpoch, CrsDef, CrsKind, Datum, DatumShift, + Ellipsoid, Helmert, HelmertRates, LinearUnit, MAX_COORDINATE_EPOCH, MIN_COORDINATE_EPOCH, + RotationConvention, +}; +pub use error::{ + CrsError, CrsParseError, CustomCrsError, DomainReason, InvalidEpoch, ProjExportError, + UnknownSrid, +}; +pub use geo_transform::GeoTransform; +pub use method::{ + AeaParams, AeqdParams, CassParams, CeaParams, EqEarthParams, EqcParams, GeosParams, HomParams, + HomVariant, KrovakParams, LabrdParams, LaeaParams, LccParams, MercParams, NzmgParams, + PolyParams, ProjectionDef, Projector, SinuParams, SomercParams, StereParams, StereaParams, + SweepAxis, TmParams, WebMercParams, +}; +pub use nodedb_srid::{ + InvalidSridCode, NODEDB_AUTHORITY, NotUserSrid, Srid, SridAuthority, SridResolver, + code_from_name, +}; +pub use parse::{parse_proj_string, parse_projjson, parse_wkt2}; +pub use registry::{ + BuiltinEntry, CrsContext, CustomCrs, CustomCrsSet, CustomCrsState, DuplicateCustomSrid, + builtin_codes, builtin_entries, builtin_lookup, geographic_crs_on_datum, +}; +pub use transform::Transformer; diff --git a/nodedb-crs/src/method/aea.rs b/nodedb-crs/src/method/aea.rs new file mode 100644 index 000000000..4040f00b2 --- /dev/null +++ b/nodedb-crs/src/method/aea.rs @@ -0,0 +1,358 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Albers Equal Area, EPSG method 9822, PROJ `aea`. +//! +//! Follows PROJ 9.8.1 `src/projections/aea.cpp` (Snyder 1987 pp. 98–103, +//! eqs. 14-1 to 14-21; IOGP Guidance Note 7-2 §3.4.1), ellipsoidal and +//! spherical. + +use core::f64::consts::FRAC_PI_2; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::authalic::Authalic; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `EPS10`: |φ1 + φ2| below this, radians, has no cone. +const EPS10: f64 = 1e-10; + +/// PROJ `TOL7`: |qp − |q|| below this puts the inverse on a pole. +const TOL7: f64 = 1e-7; + +/// Largest absolute latitude, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Defining parameters of one Albers Equal Area projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct AeaParams { + /// Latitude of false origin φF, degrees (`+lat_0`). + pub lat0_deg: f64, + /// Longitude of false origin λF, degrees (`+lon_0`). + pub lon0_deg: f64, + /// Latitude of first standard parallel φ1, degrees (`+lat_1`). + pub lat1_deg: f64, + /// Latitude of second standard parallel φ2, degrees (`+lat_2`). + pub lat2_deg: f64, + /// Easting at false origin, metres (`+x_0`). + pub false_easting: f64, + /// Northing at false origin, metres (`+y_0`). + pub false_northing: f64, +} + +impl AeaParams { + /// Read from PROJ-string parameters. `+lat_1` is required; `+lat_2`, + /// `+lat_0`, `+lon_0`, `+x_0`, `+y_0` default to 0 as in PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat1_deg = p.number("lat_1")?.ok_or(CrsParseError::Missing { + key: "lat_1", + method: "aea", + })?; + let lat2_deg = p.number_or("lat_2", 0.0)?; + if lat1_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_1", &lat1_deg.to_string())); + } + if lat2_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_2", &lat2_deg.to_string())); + } + // PROJ: |lat_1 + lat_2| must exceed EPS10, else the cone is a plane. + if (lat1_deg + lat2_deg).to_radians().abs() < EPS10 { + return Err(CrsParseError::invalid("lat_2", &lat2_deg.to_string())); + } + Ok(Self { + lat0_deg: p.number_or("lat_0", 0.0)?, + lon0_deg: p.number_or("lon_0", 0.0)?, + lat1_deg, + lat2_deg, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=aea +lat_0={} +lon_0={} +lat_1={} +lat_2={} +x_0={} +y_0={}", + self.lat0_deg, + self.lon0_deg, + self.lat1_deg, + self.lat2_deg, + self.false_easting, + self.false_northing + ); + } +} + +/// Albers Equal Area with its cone constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Albers { + params: AeaParams, + a: f64, + lon0: f64, + /// Authalic conversion; `None` on a sphere. + auth: Option, + /// Cone constant n. + n: f64, + /// 2n, used on the sphere. + n2: f64, + /// C, Snyder eq. 14-3 (ellipsoid) or 14-13 (sphere). + c: f64, + /// 1 / n. + dd: f64, + /// ρ0 / a. + rho0: f64, +} + +impl Albers { + pub fn new(p: &AeaParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let phi1 = p.lat1_deg.to_radians(); + let phi2 = p.lat2_deg.to_radians(); + let secant = (phi1 - phi2).abs() >= EPS10; + let (sinphi1, cosphi1) = phi1.sin_cos(); + let mut n = sinphi1; + let (auth, n2, c, rho0); + if ell.is_sphere() { + if secant { + n = 0.5 * (n + phi2.sin()); + } + n2 = n + n; + c = cosphi1 * cosphi1 + n2 * sinphi1; + rho0 = (c - n2 * phi0.sin()).sqrt() / n; + auth = None; + } else { + let es = ell.e2(); + let a = Authalic::new(es); + let m1 = msfn(sinphi1, cosphi1, es); + let ml1 = a.q(sinphi1); + if secant { + let (sinphi2, cosphi2) = phi2.sin_cos(); + let m2 = msfn(sinphi2, cosphi2, es); + let ml2 = a.q(sinphi2); + n = (m1 * m1 - m2 * m2) / (ml2 - ml1); + } + n2 = n + n; + c = m1 * m1 + n * ml1; + rho0 = (c - n * a.q(phi0.sin())).sqrt() / n; + auth = Some(a); + } + Self { + params: *p, + a: ell.a, + lon0: p.lon0_deg.to_radians(), + auth, + n, + n2, + c, + dd: 1.0 / n, + rho0, + } + } + + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let sinphi = phi.sin(); + let rho2 = self.c + - match &self.auth { + Some(a) => self.n * a.q(sinphi), + None => self.n2 * sinphi, + }; + if rho2 < 0.0 { + return Err(DomainReason::OutsideProjection); + } + let rho = self.dd * rho2.sqrt(); + let (s, c) = (lam * self.n).sin_cos(); + Ok(( + self.params.false_easting + self.a * rho * s, + self.params.false_northing + self.a * (self.rho0 - rho * c), + )) + } + + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let mut x = (x - self.params.false_easting) / self.a; + let mut y = self.rho0 - (y - self.params.false_northing) / self.a; + let mut rho = x.hypot(y); + if rho == 0.0 { + let phi = if self.n > 0.0 { FRAC_PI_2 } else { -FRAC_PI_2 }; + return Ok((self.lon0, phi)); + } + if self.n < 0.0 { + rho = -rho; + x = -x; + y = -y; + } + let r = rho / self.dd; + let phi = match &self.auth { + Some(a) => { + let qs = (self.c - r * r) / self.n; + let qp = a.qp(); + if (qp - qs.abs()).abs() > TOL7 { + // PROJ fails |qs| > 2; asin also needs |qs| ≤ qp. + if qs.abs() > qp { + return Err(DomainReason::OutsideProjection); + } + a.from_authalic((qs / qp).asin()) + } else if qs < 0.0 { + -FRAC_PI_2 + } else { + FRAC_PI_2 + } + } + None => { + let qs_div_2 = (self.c - r * r) / self.n2; + if qs_div_2.abs() <= 1.0 { + qs_div_2.asin() + } else if qs_div_2 < 0.0 { + -FRAC_PI_2 + } else { + FRAC_PI_2 + } + } + }; + let lam = x.atan2(y) / self.n; + Ok((wrap_pi(lam + self.lon0), phi)) + } +} + +/// m = cos φ / √(1 − e² sin² φ), Snyder eq. 14-15, PROJ `pj_msfn`. +fn msfn(sinphi: f64, cosphi: f64, es: f64) -> f64 { + cosphi / (1.0 - es * sinphi * sinphi).sqrt() +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn check(p: &AeaParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let aea = Albers::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = aea.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = aea.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + /// The GN 7-2 §3.4.1 parameter set (Clarke 1866, φF = 0°, λF = 132°E, + /// φ1 = 18°S, φ2 = 36°S). PROJ 9.8.1 values via pyproj 3.8.0 for + /// `+proj=aea +lat_0=0 +lon_0=132 +lat_1=-18 +lat_2=-36 +ellps=clrk66`. + #[test] + fn gn7_2_parameters() { + let p = AeaParams { + lat0_deg: 0.0, + lon0_deg: 132.0, + lat1_deg: -18.0, + lat2_deg: -36.0, + false_easting: 0.0, + false_northing: 0.0, + }; + check( + &p, + &Ellipsoid::CLARKE_1866, + &[[ + 140.0, + -20.0, + 832_812.274_151_099_5, + -2_170_059.232_002_873_4, + ]], + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:3577 GDA94 / Australian Albers: + /// `+proj=aea +lat_0=0 +lon_0=132 +lat_1=-18 +lat_2=-36 +x_0=0 +y_0=0 + /// +ellps=GRS80`. + #[test] + fn australian_albers() { + let p = AeaParams { + lat0_deg: 0.0, + lon0_deg: 132.0, + lat1_deg: -18.0, + lat2_deg: -36.0, + false_easting: 0.0, + false_northing: 0.0, + }; + check(&p, &Ellipsoid::GRS80, AU_ALBERS); + } + + /// (lon, lat, x, y). + const AU_ALBERS: &[[f64; 4]] = &[ + [147.0, -35.0, 1362365.5637248761, -3902190.4297908046], + [115.86, -31.95, -1508261.2956576233, -3577137.7414186457], + [130.84, -12.46, -128368.21938505347, -1314806.1986117077], + [153.0, -27.5, 2040429.2689670695, -3150988.844969211], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0: `+proj=aea +lat_0=40 +lon_0=-96 + /// +lat_1=20 +lat_2=60 +R=6370997`. + #[test] + fn sphere() { + let p = AeaParams { + lat0_deg: 40.0, + lon0_deg: -96.0, + lat1_deg: 20.0, + lat2_deg: 60.0, + false_easting: 0.0, + false_northing: 0.0, + }; + check(&p, &Ellipsoid::sphere(6_370_997.0), SPHERE_PTS); + } + + /// (lon, lat, x, y). + const SPHERE_PTS: &[[f64; 4]] = &[ + [-120.0, 35.0, -2050766.2665282101, -328037.05230039987], + [-75.0, 45.0, 1539757.8618297249, 762574.6118662546], + [-96.0, 40.0, 0.0, 0.0], + [-100.0, 60.0, -222323.84540856257, 2334542.866764218], + ]; + + #[test] + fn parses_and_writes() { + let p = ProjParams::tokenize( + "+proj=aea +lat_1=29.5 +lat_2=45.5 +lat_0=23 +lon_0=-96 +x_0=0 +y_0=0", + ) + .unwrap(); + let a = AeaParams::from_proj(&p).unwrap(); + assert_eq!(a.lat1_deg, 29.5); + let mut s = String::new(); + a.write_proj(&mut s); + assert_eq!( + s, + " +proj=aea +lat_0=23 +lon_0=-96 +lat_1=29.5 +lat_2=45.5 +x_0=0 +y_0=0" + ); + let bad = ProjParams::tokenize("+proj=aea +lat_1=10 +lat_2=-10").unwrap(); + assert!(AeaParams::from_proj(&bad).is_err()); + let missing = ProjParams::tokenize("+proj=aea +lat_2=10").unwrap(); + assert_eq!( + AeaParams::from_proj(&missing), + Err(CrsParseError::Missing { + key: "lat_1", + method: "aea" + }) + ); + } +} diff --git a/nodedb-crs/src/method/aeqd.rs b/nodedb-crs/src/method/aeqd.rs new file mode 100644 index 000000000..e0d1564cc --- /dev/null +++ b/nodedb-crs/src/method/aeqd.rs @@ -0,0 +1,576 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Azimuthal Equidistant, EPSG method 1125 (and 9831 Guam), PROJ `aeqd`. +//! +//! Follows PROJ 9.8.1 `src/projections/aeqd.cpp`. The ellipsoidal oblique +//! and equatorial aspects solve the geodesic problem exactly (Karney 2013, +//! [`Geodesic`]); the polar aspects use the meridian arc (Snyder 1987 +//! eq. 25-14); `+guam` selects the Guam series (Snyder eqs. 25-15 to +//! 25-17, IOGP Guidance Note 7-2 §3.9.2); spheres use Snyder eqs. 25-2 to +//! 25-5. + +use core::f64::consts::{FRAC_PI_2, PI}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::geodesic::Geodesic; +use super::meridian::MeridianArc; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `EPS10`, radians. +const EPS10: f64 = 1e-10; + +/// PROJ `TOL`: |cos c| this close to 1 counts as the centre or antipode. +const TOL: f64 = 1e-14; + +/// PROJ `aasin` tolerance: |v| up to this rounds to ±1. +const ONE_TOL: f64 = 1.000_000_000_000_01; + +/// Fixed-point iterations of the Guam inverse, PROJ `e_guam_inv`. +const GUAM_ITERS: usize = 3; + +/// Radians per degree, PROJ `DEG_TO_RAD`. +const DEG_TO_RAD: f64 = PI / 180.0; + +/// Largest absolute latitude of origin, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Defining parameters of one Azimuthal Equidistant projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct AeqdParams { + /// Latitude of natural origin φ0, degrees (`+lat_0`). + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees (`+lon_0`). + pub lon0_deg: f64, + /// False easting, metres (`+x_0`). + pub false_easting: f64, + /// False northing, metres (`+y_0`). + pub false_northing: f64, + /// PROJ `+guam`: the Guam series, EPSG 9831. Ellipsoid only. + pub guam: bool, +} + +impl AeqdParams { + /// Read from PROJ-string parameters. Every number defaults to 0 as in + /// PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + guam: p.has("guam"), + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + out.push_str(" +proj=aeqd"); + if self.guam { + out.push_str(" +guam"); + } + let _ = write!( + out, + " +lat_0={} +lon_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// Aspect of the projection, from φ0. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +enum Mode { + NorthPole, + SouthPole, + Equatorial, + Oblique, +} + +/// Which formulas apply. +#[derive(Debug, Clone, PartialEq)] +enum Kind { + Sphere, + /// Geodesic (oblique, equatorial) or meridian arc (polar). + Ellipsoid(MeridianArc), + /// The Guam series, with the arc to φ0 in units of a. + Guam { + arc: MeridianArc, + m1: f64, + }, +} + +/// Azimuthal Equidistant with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct AzimuthalEquidistant { + params: AeqdParams, + a: f64, + e: f64, + lon0: f64, + phi0: f64, + mode: Mode, + sinph0: f64, + cosph0: f64, + kind: Kind, + /// Geodesic on the ellipsoid scaled to a = 1, PROJ `geod_init(1, f)`. + geod: Geodesic, + /// Polar: meridian arc to the pole, units of a. + mp: f64, +} + +impl AzimuthalEquidistant { + pub fn new(p: &AeqdParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let (mode, sinph0, cosph0) = if (phi0.abs() - FRAC_PI_2).abs() < EPS10 { + if phi0 < 0.0 { + (Mode::SouthPole, -1.0, 0.0) + } else { + (Mode::NorthPole, 1.0, 0.0) + } + } else if phi0.abs() < EPS10 { + (Mode::Equatorial, 0.0, 1.0) + } else { + let (s, c) = phi0.sin_cos(); + (Mode::Oblique, s, c) + }; + let es = ell.e2(); + let mut mp = 0.0; + let kind = if ell.is_sphere() { + Kind::Sphere + } else { + let arc = MeridianArc::new(es); + if p.guam { + let m1 = arc.arc(phi0, sinph0, cosph0); + Kind::Guam { arc, m1 } + } else { + match mode { + Mode::NorthPole => mp = arc.arc(FRAC_PI_2, 1.0, 0.0), + Mode::SouthPole => mp = arc.arc(-FRAC_PI_2, -1.0, 0.0), + Mode::Equatorial | Mode::Oblique => {} + } + Kind::Ellipsoid(arc) + } + }; + Self { + params: *p, + a: ell.a, + e: ell.e(), + lon0: p.lon0_deg.to_radians(), + phi0, + mode, + sinph0, + cosph0, + kind, + geod: Geodesic::new(1.0, ell.f()), + mp, + } + } + + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let (x, y) = match &self.kind { + Kind::Sphere => self.s_forward(lam, phi)?, + Kind::Ellipsoid(arc) => self.e_forward(arc, lam, phi), + Kind::Guam { arc, m1 } => { + let (sinphi, cosphi) = phi.sin_cos(); + let t = 1.0 / (1.0 - self.e * self.e * sinphi * sinphi).sqrt(); + ( + lam * cosphi * t, + arc.arc(phi, sinphi, cosphi) - m1 + 0.5 * lam * lam * cosphi * sinphi * t, + ) + } + }; + Ok(( + self.params.false_easting + self.a * x, + self.params.false_northing + self.a * y, + )) + } + + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + let (lam, phi) = match &self.kind { + Kind::Sphere => self.s_inverse(x, y)?, + Kind::Ellipsoid(arc) => self.e_inverse(arc, x, y)?, + Kind::Guam { arc, m1 } => { + let x2 = 0.5 * x * x; + let mut phi = self.phi0; + let mut t = 0.0; + for _ in 0..GUAM_ITERS { + let es = self.e * phi.sin(); + t = (1.0 - es * es).sqrt(); + phi = arc.inverse(m1 + y - x2 * phi.tan() * t)?; + } + (x * t / phi.cos(), phi) + } + }; + if phi.abs() > FRAC_PI_2 { + return Err(DomainReason::OutsideProjection); + } + Ok((wrap_pi(lam + self.lon0), phi)) + } + + /// PROJ `aeqd_e_forward`. + fn e_forward(&self, arc: &MeridianArc, lam: f64, phi: f64) -> (f64, f64) { + match self.mode { + Mode::NorthPole | Mode::SouthPole => { + let (sinlam, coslam) = lam.sin_cos(); + let coslam = if self.mode == Mode::NorthPole { + -coslam + } else { + coslam + }; + let rho = (self.mp - arc.arc(phi, phi.sin(), phi.cos())).abs(); + (rho * sinlam, rho * coslam) + } + Mode::Equatorial | Mode::Oblique => self.geodesic_forward(lam, phi), + } + } + + /// Distance and azimuth from the centre by the inverse geodesic + /// problem, PROJ `aeqd_e_forward`. + fn geodesic_forward(&self, lam: f64, phi: f64) -> (f64, f64) { + if lam.abs() < EPS10 && (phi - self.phi0).abs() < EPS10 { + return (0.0, 0.0); + } + let (s12, azi1, _) = self.geod.inverse( + self.phi0 / DEG_TO_RAD, + 0.0, + phi / DEG_TO_RAD, + lam / DEG_TO_RAD, + ); + let (s, c) = (azi1 * DEG_TO_RAD).sin_cos(); + (s12 * s, s12 * c) + } + + /// PROJ `aeqd_s_forward` (Snyder eqs. 25-2 to 25-5). + fn s_forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let (sinphi, cosphi) = phi.sin_cos(); + let (sinlam, coslam) = lam.sin_cos(); + match self.mode { + Mode::Equatorial | Mode::Oblique => { + let cosphi_coslam = cosphi * coslam; + let cos_c = if self.mode == Mode::Equatorial { + cosphi_coslam + } else { + self.sinph0 * sinphi + self.cosph0 * cosphi_coslam + }; + if (cos_c.abs() - 1.0).abs() < TOL { + if cos_c < 0.0 { + return Err(DomainReason::Antipode); + } + return Ok(self.geodesic_forward(lam, phi)); + } + let c = cos_c.acos(); + let k = c / c.sin(); + let y = if self.mode == Mode::Equatorial { + sinphi + } else { + self.cosph0 * sinphi - self.sinph0 * cosphi_coslam + }; + Ok((k * cosphi * sinlam, k * y)) + } + Mode::NorthPole | Mode::SouthPole => { + let (phi, coslam) = if self.mode == Mode::NorthPole { + (-phi, -coslam) + } else { + (phi, coslam) + }; + if (phi - FRAC_PI_2).abs() < EPS10 { + return Err(DomainReason::Antipode); + } + let r = FRAC_PI_2 + phi; + Ok((r * sinlam, r * coslam)) + } + } + } + + /// PROJ `aeqd_e_inverse`. + fn e_inverse(&self, arc: &MeridianArc, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let s12 = x.hypot(y); + if s12 < EPS10 { + return Ok((0.0, self.phi0)); + } + match self.mode { + Mode::Equatorial | Mode::Oblique => { + let azi1 = x.atan2(y) / DEG_TO_RAD; + let (lat2, lon2, _) = self.geod.direct(self.phi0 / DEG_TO_RAD, 0.0, azi1, s12); + Ok((lon2 * DEG_TO_RAD, lat2 * DEG_TO_RAD)) + } + Mode::NorthPole => Ok(((x).atan2(-y), arc.inverse(self.mp - s12)?)), + Mode::SouthPole => Ok((x.atan2(y), arc.inverse(self.mp + s12)?)), + } + } + + /// PROJ `aeqd_s_inverse`. + fn s_inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let (mut x, mut y) = (x, y); + let mut c_rh = x.hypot(y); + if c_rh > PI { + if c_rh - EPS10 > PI { + return Err(DomainReason::OutsideProjection); + } + c_rh = PI; + } else if c_rh < EPS10 { + return Ok((0.0, self.phi0)); + } + match self.mode { + Mode::Equatorial | Mode::Oblique => { + let (sinc, cosc) = c_rh.sin_cos(); + let phi; + if self.mode == Mode::Equatorial { + phi = aasin(y * sinc / c_rh)?; + x *= sinc; + y = cosc * c_rh; + } else { + phi = aasin(cosc * self.sinph0 + y * sinc * self.cosph0 / c_rh)?; + y = (cosc - self.sinph0 * phi.sin()) * c_rh; + x *= sinc * self.cosph0; + } + let lam = if y == 0.0 { 0.0 } else { x.atan2(y) }; + Ok((lam, phi)) + } + Mode::NorthPole => Ok((x.atan2(-y), FRAC_PI_2 - c_rh)), + Mode::SouthPole => Ok((x.atan2(y), c_rh - FRAC_PI_2)), + } + } +} + +/// asin that rounds |v| ≤ [`ONE_TOL`] to ±π/2, PROJ `aasin`. +fn aasin(v: f64) -> Result { + if v.abs() >= 1.0 { + if v.abs() > ONE_TOL { + return Err(DomainReason::OutsideProjection); + } + return Ok(FRAC_PI_2.copysign(v)); + } + Ok(v.asin()) +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn params(lat0_deg: f64, lon0_deg: f64, false_easting: f64, false_northing: f64) -> AeqdParams { + AeqdParams { + lat0_deg, + lon0_deg, + false_easting, + false_northing, + guam: false, + } + } + + fn check(p: &AeqdParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let aeqd = AzimuthalEquidistant::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = aeqd.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = aeqd.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + fn dms(d: f64, m: f64, s: f64) -> f64 { + d + m / 60.0 + s / 3600.0 + } + + /// GN 7-2 §3.9.2 example, Guam 1963 / Yap Islands (EPSG:3295), Clarke + /// 1866, φ0 = 9°32′48.15″N, λ0 = 138°10′07.48″E, FE = 40 000 m, + /// FN = 60 000 m. φ = 9°35′47.493″N, λ = 138°11′34.908″E → + /// E = 42 665.90 m, N = 65 509.82 m (Modified Azimuthal Equidistant; + /// PROJ's exact geodesic agrees to 1 mm). + #[test] + fn gn7_2_yap_islands() { + let p = params( + dms(9.0, 32.0, 48.15), + dms(138.0, 10.0, 7.48), + 40_000.0, + 60_000.0, + ); + let aeqd = AzimuthalEquidistant::new(&p, &Ellipsoid::CLARKE_1866); + let lon = dms(138.0, 11.0, 34.908); + let lat = dms(9.0, 35.0, 47.493); + let (x, y) = aeqd.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - 42_665.90).abs() < 0.005 && (y - 65_509.82).abs() < 0.005, + "{x} {y}" + ); + let (lam, phi) = aeqd.inverse(42_665.90, 65_509.82).unwrap(); + assert!((lam.to_degrees() - lon).abs() < 1e-7 && (phi.to_degrees() - lat).abs() < 1e-7); + // PROJ 9.8.1 via pyproj 3.8.0, EPSG:3295 PROJ string. + check( + &p, + &Ellipsoid::CLARKE_1866, + &[[lon, lat, 42_665.904_012_062_79, 65_509.822_493_638_305]], + ); + } + + /// GN 7-2 §3.9.2 with PROJ's `+guam` series: PROJ 9.8.1 via pyproj + /// 3.8.0 gives E = 42 665.903 680 579 635, N = 65 509.822 816 551 77. + #[test] + fn guam_series() { + let mut p = params( + dms(9.0, 32.0, 48.15), + dms(138.0, 10.0, 7.48), + 40_000.0, + 60_000.0, + ); + p.guam = true; + let lon = dms(138.0, 11.0, 34.908); + let lat = dms(9.0, 35.0, 47.493); + check( + &p, + &Ellipsoid::CLARKE_1866, + &[[lon, lat, 42_665.903_680_579_635, 65_509.822_816_551_77]], + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:27704 WGS 84 / Equi7 Europe: + /// `+proj=aeqd +lat_0=53 +lon_0=24 +x_0=5837287.82 +y_0=2121415.696 + /// +datum=WGS84`. + #[test] + fn equi7_europe() { + check( + ¶ms(53.0, 24.0, 5_837_287.82, 2_121_415.696), + &Ellipsoid::WGS84, + EQUI7_EUROPE, + ); + } + + const EQUI7_EUROPE: &[[f64; 4]] = &[ + [24.0, 53.0, 5837287.82, 2121415.696], + [0.0, 40.0, 3802691.4752739277, 1001915.8778322181], + [-20.0, 65.0, 3899068.361612137, 4116725.3950709505], + [40.0, 35.0, 7312517.666956626, 273807.5616523754], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:27702 WGS 84 / Equi7 Antarctica: + /// `+proj=aeqd +lat_0=-90 +lon_0=0 +x_0=3714266.977 +y_0=3402016.506 + /// +datum=WGS84`. + #[test] + fn equi7_antarctica() { + check( + ¶ms(-90.0, 0.0, 3_714_266.977, 3_402_016.506), + &Ellipsoid::WGS84, + EQUI7_ANTARCTICA, + ); + } + + const EQUI7_ANTARCTICA: &[[f64; 4]] = &[ + [0.0, -90.0, 3714266.977, 3402016.506], + [60.0, -70.0, 5648088.7146054655, 4518509.0067712655], + [-150.0, -80.0, 3155854.0483120745, 2434816.9419091768], + [170.0, -60.0, 4295622.4798146635, 104985.61215248471], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=aeqd +lat_0=90 +lon_0=0 +ellps=WGS84`. + #[test] + fn north_polar_ellipsoid() { + check(¶ms(90.0, 0.0, 0.0, 0.0), &Ellipsoid::WGS84, NORTH_POLAR); + } + + const NORTH_POLAR: &[[f64; 4]] = &[ + [45.0, 60.0, 2367317.7792216484, -2367317.779221649], + [-120.0, 75.0, -1450616.9230538863, 837514.0710161875], + [170.0, 10.0, 1544793.4454269276, 8760958.982114341], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=aeqd +lat_0=0 +lon_0=0 +ellps=WGS84`. + #[test] + fn equatorial_ellipsoid() { + check(¶ms(0.0, 0.0, 0.0, 0.0), &Ellipsoid::WGS84, EQUATORIAL); + } + + const EQUATORIAL: &[[f64; 4]] = &[ + [10.0, 10.0, 1101896.9072405538, 1111480.8582554795], + [-60.0, 30.0, -5962674.986276318, 3954631.424151443], + [120.0, -40.0, 8995111.25339604, -8710143.057967292], + [0.0, 0.0, 0.0, 0.0], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=aeqd +lat_0=40 +lon_0=-100 +R=6370997`. + #[test] + fn sphere_oblique() { + check( + ¶ms(40.0, -100.0, 0.0, 0.0), + &Ellipsoid::sphere(6_370_997.0), + SPHERE_OBLIQUE, + ); + } + + const SPHERE_OBLIQUE: &[[f64; 4]] = &[ + [-120.0, 35.0, -1810140.3394241622, -357945.7072990199], + [-75.0, 45.0, 1939281.2513566797, 841944.9606152419], + [10.0, 10.0, 10237736.198016878, 3866778.9215264153], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=aeqd +lat_0=-90 +lon_0=0 +R=6370997`. + #[test] + fn sphere_south_polar() { + check( + ¶ms(-90.0, 0.0, 0.0, 0.0), + &Ellipsoid::sphere(6_370_997.0), + SPHERE_SOUTH, + ); + } + + const SPHERE_SOUTH: &[[f64; 4]] = &[ + [45.0, -60.0, 2358799.4891965115, 2358799.4891965115], + [-120.0, -75.0, -1444463.7885172633, -833961.5571351082], + [170.0, 10.0, 1930878.7285438292, -10950557.429077182], + ]; + + #[test] + fn antipode_is_out_of_domain() { + let aeqd = AzimuthalEquidistant::new(¶ms(30.0, 0.0, 0.0, 0.0), &Ellipsoid::sphere(1.0)); + assert_eq!( + aeqd.forward(PI, -30f64.to_radians()), + Err(DomainReason::Antipode) + ); + assert_eq!(aeqd.inverse(4.0, 0.0), Err(DomainReason::OutsideProjection)); + } + + #[test] + fn parses_and_writes() { + let p = + ProjParams::tokenize("+proj=aeqd +lat_0=53 +lon_0=24 +x_0=5837287.82 +y_0=2121415.696") + .unwrap(); + let q = AeqdParams::from_proj(&p).unwrap(); + assert!(!q.guam); + let mut s = String::new(); + q.write_proj(&mut s); + assert_eq!( + s, + " +proj=aeqd +lat_0=53 +lon_0=24 +x_0=5837287.82 +y_0=2121415.696" + ); + } +} diff --git a/nodedb-crs/src/method/angle.rs b/nodedb-crs/src/method/angle.rs new file mode 100644 index 000000000..bfe6d0051 --- /dev/null +++ b/nodedb-crs/src/method/angle.rs @@ -0,0 +1,54 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Angle helpers shared by the projection methods. + +use core::f64::consts::{PI, TAU}; + +/// Wrap an angle in radians into [−π, π]. +pub fn wrap_pi(angle: f64) -> f64 { + let a = angle % TAU; + if a > PI { + a - TAU + } else if a < -PI { + a + TAU + } else { + a + } +} + +/// Half a turn in degrees. +const HALF_TURN_DEG: f64 = 180.0; + +/// A full turn in degrees. +const FULL_TURN_DEG: f64 = 360.0; + +/// Wrap a longitude in degrees into [−180, 180]. A value already inside +/// comes back bit-identical. +pub fn wrap_lon_deg(lon: f64) -> f64 { + if (-HALF_TURN_DEG..=HALF_TURN_DEG).contains(&lon) { + return lon; + } + let d = lon % FULL_TURN_DEG; + if d > HALF_TURN_DEG { + d - FULL_TURN_DEG + } else if d < -HALF_TURN_DEG { + d + FULL_TURN_DEG + } else { + d + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn wrap_keeps_offset_in_half_turn() { + assert!((wrap_pi(200f64.to_radians()) - (-160f64).to_radians()).abs() < 1e-15); + assert!((wrap_pi((-200f64).to_radians()) - 160f64.to_radians()).abs() < 1e-15); + assert_eq!(wrap_pi(0.5), 0.5); + assert_eq!(wrap_lon_deg(200.0), -160.0); + assert_eq!(wrap_lon_deg(-200.0), 160.0); + assert_eq!(wrap_lon_deg(101.7117), 101.7117); + } +} diff --git a/nodedb-crs/src/method/authalic.rs b/nodedb-crs/src/method/authalic.rs new file mode 100644 index 000000000..b4ab45b10 --- /dev/null +++ b/nodedb-crs/src/method/authalic.rs @@ -0,0 +1,227 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Authalic latitude, as PROJ `pj_authalic_lat_q`, `pj_authalic_lat` and +//! `pj_authalic_lat_inverse` (PROJ 9.8.1 `src/latitudes.cpp`). +//! +//! For |n| < 0.01 both directions use Fourier series in n to order 6 +//! (Karney, "On auxiliary latitudes", Survey Review 56 (2024)). For larger +//! |n| the forward uses β = asin(q / qp) (Snyder 1987 eqs. 3-11, 3-12) and +//! the inverse refines the series start by Newton's method. + +use super::meridian::{AUX_ORDER, clenshaw, full_series, third_flattening}; + +/// Eccentricity below which q(φ) uses the spherical limit 2 sin φ, PROJ +/// `pj_authalic_lat_q`. +const SPHERE_ECCENTRICITY: f64 = 1e-7; + +/// |n| below which the series are accurate to double precision, PROJ +/// `PROJ_AUTHALIC_SERIES_VALID`. +const SERIES_VALID_N: f64 = 0.01; + +/// Newton iterations for the inverse at large |n|, PROJ +/// `pj_authalic_lat_inverse`. +const NEWTON_MAX_ITERS: usize = 10; + +/// Newton step below which the inverse stops. +const NEWTON_TOLERANCE: f64 = 1e-15; + +/// Karney 2024 matrix C[ξ,φ] (φ → ξ), as PROJ `pj_auxlat_coeffs`. +const C_XI_PHI: [f64; 21] = [ + -4.0 / 3.0, + -4.0 / 45.0, + 88.0 / 315.0, + 538.0 / 4725.0, + 20824.0 / 467_775.0, + -44732.0 / 2_837_835.0, + 34.0 / 45.0, + 8.0 / 105.0, + -2482.0 / 14175.0, + -37192.0 / 467_775.0, + -12_467_764.0 / 212_837_625.0, + -1532.0 / 2835.0, + -898.0 / 14175.0, + 54968.0 / 467_775.0, + 100_320_856.0 / 1_915_538_625.0, + 6007.0 / 14175.0, + 24496.0 / 467_775.0, + -5_884_124.0 / 70_945_875.0, + -23356.0 / 66825.0, + -839_792.0 / 19_348_875.0, + 570_284_222.0 / 1_915_538_625.0, +]; + +/// Karney 2024 matrix C[φ,ξ] (ξ → φ). +const C_PHI_XI: [f64; 21] = [ + 4.0 / 3.0, + 4.0 / 45.0, + -16.0 / 35.0, + -2582.0 / 14175.0, + 60136.0 / 467_775.0, + 28_112_932.0 / 212_837_625.0, + 46.0 / 45.0, + 152.0 / 945.0, + -11966.0 / 14175.0, + -21016.0 / 51975.0, + 251_310_128.0 / 638_512_875.0, + 3044.0 / 2835.0, + 3802.0 / 14175.0, + -94388.0 / 66825.0, + -8_797_648.0 / 10_945_935.0, + 6059.0 / 4725.0, + 41072.0 / 93555.0, + -1_472_637_812.0 / 638_512_875.0, + 768_272.0 / 467_775.0, + 455_935_736.0 / 638_512_875.0, + 4_210_684_958.0 / 1_915_538_625.0, +]; + +/// q(φ) (Snyder 3-12, PROJ pj_qsfn). +/// +/// Returns +∞ where 1 − e² sin² φ is zero, as PROJ does. +pub fn qsfn(sinphi: f64, e: f64, one_es: f64) -> f64 { + if e < SPHERE_ECCENTRICITY { + return 2.0 * sinphi; + } + let e_sinphi = e * sinphi; + let one_minus = 1.0 - e_sinphi * e_sinphi; + if one_minus == 0.0 { + return f64::INFINITY; + } + one_es * (sinphi / one_minus + e_sinphi.atanh() / e) +} + +/// Geodetic ↔ authalic latitude conversion for one ellipsoid. +#[derive(Debug, Clone, PartialEq)] +pub struct Authalic { + e: f64, + es: f64, + one_es: f64, + /// Whether |n| is small enough for the series in both directions. + series: bool, + /// q at φ = 90°. + qp: f64, + /// φ → ξ Fourier coefficients. + to_xi: [f64; AUX_ORDER], + /// ξ → φ Fourier coefficients. + from_xi: [f64; AUX_ORDER], +} + +impl Authalic { + pub fn new(e2: f64) -> Self { + let n = third_flattening(e2); + let e = e2.sqrt(); + let one_es = 1.0 - e2; + Self { + e, + es: e2, + one_es, + series: n.abs() < SERIES_VALID_N, + qp: qsfn(1.0, e, one_es), + to_xi: full_series(n, &C_XI_PHI), + from_xi: full_series(n, &C_PHI_XI), + } + } + + /// q at the pole, qp = q(90°). + pub fn qp(&self) -> f64 { + self.qp + } + + /// q(φ) of this ellipsoid from sin φ. + pub fn q(&self, sinphi: f64) -> f64 { + qsfn(sinphi, self.e, self.one_es) + } + + /// Geodetic → authalic latitude, PROJ `pj_authalic_lat`. + pub fn to_authalic(&self, phi: f64) -> f64 { + let (sinphi, cosphi) = phi.sin_cos(); + if self.series { + return phi + clenshaw(sinphi, cosphi, &self.to_xi); + } + // q / qp is ill-conditioned near the poles. Rounding past ±1 clamps. + (self.q(sinphi) / self.qp).clamp(-1.0, 1.0).asin() + } + + /// Authalic → geodetic latitude (PROJ pj_authlat, `pj_authalic_lat_inverse`). + pub fn from_authalic(&self, beta: f64) -> f64 { + let mut phi = beta + clenshaw(beta.sin(), beta.cos(), &self.from_xi); + if self.series { + return phi; + } + // Newton on qp sin β / (1 − e²) − q(φ) / (1 − e²) = 0, PROJ + // `pj_authalic_lat_inverse`. + let q_div_one_es = beta.sin() * self.qp / self.one_es; + for _ in 0..NEWTON_MAX_ITERS { + let (sinphi, cosphi) = phi.sin_cos(); + let w = 1.0 - self.es * sinphi * sinphi; + let dphi = w * w / (2.0 * cosphi) + * (q_div_one_es - sinphi / w - (self.e * sinphi).atanh() / self.e); + if dphi.is_nan() || dphi.abs() < NEWTON_TOLERANCE { + break; + } + phi += dphi; + } + phi + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::def::Ellipsoid; + + #[test] + fn round_trip_on_grs80() { + let a = Authalic::new(Ellipsoid::GRS80.e2()); + for deg in [-90.0, -60.0, -1.0, 0.0, 10.5, 45.0, 89.999, 90.0] { + let phi = f64::to_radians(deg); + let back = a.from_authalic(a.to_authalic(phi)); + assert!((back - phi).abs() < 1e-14, "{deg}"); + } + } + + #[test] + fn series_matches_closed_form() { + let e = Ellipsoid::WGS84; + let a = Authalic::new(e.e2()); + for deg in [5.0, 30.0, 52.0, 75.0] { + let phi = f64::to_radians(deg); + let closed = (a.q(phi.sin()) / a.qp()).asin(); + assert!((a.to_authalic(phi) - closed).abs() < 1e-14, "{deg}"); + } + } + + /// An ellipsoid with |n| ≥ 0.01 takes the closed form and Newton path. + #[test] + fn large_flattening_round_trips() { + let a = Authalic::new( + Ellipsoid { + a: 1.0, + inv_f: 30.0, + } + .e2(), + ); + assert!(!a.series); + for deg in [-80.0, -20.0, 0.0, 33.0, 70.0] { + let phi = f64::to_radians(deg); + let back = a.from_authalic(a.to_authalic(phi)); + assert!((back - phi).abs() < 1e-13, "{deg}"); + } + } + + #[test] + fn sphere_is_identity() { + let a = Authalic::new(0.0); + assert_eq!(a.qp(), 2.0); + assert_eq!(a.to_authalic(0.7), 0.7); + assert_eq!(a.from_authalic(0.7), 0.7); + assert_eq!(qsfn(0.5, 0.0, 1.0), 1.0); + } + + /// qp for GRS 80, Snyder 1987 eq. 3-12 at φ = 90°. + #[test] + fn grs80_qp() { + let a = Authalic::new(Ellipsoid::GRS80.e2()); + assert!((a.qp() - 1.995_531_087_7).abs() < 1e-9, "{}", a.qp()); + } +} diff --git a/nodedb-crs/src/method/cass.rs b/nodedb-crs/src/method/cass.rs new file mode 100644 index 000000000..953f3e135 --- /dev/null +++ b/nodedb-crs/src/method/cass.rs @@ -0,0 +1,592 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Cassini-Soldner, EPSG method 9806 (and 9833 hyperbolic), PROJ `cass`. +//! +//! Follows PROJ 9.8.1 `src/projections/cass.cpp`: the ellipsoidal series +//! of Snyder 1987 pp. 92–95 (eqs. 13-5 to 13-11; IOGP Guidance Note 7-2 +//! §3.2.2), refined on inverse by PROJ's 2-D Newton solver +//! (`src/generic_inverse.cpp`), and the exact spherical formulas. + +use core::f64::consts::{FRAC_PI_2, PI}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::meridian::MeridianArc; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Series coefficients 1/6, 1/120, 1/24, 1/3, 1/15 (Snyder eqs. 13-7, +/// 13-8, 13-10, 13-11). +const C1: f64 = 1.0 / 6.0; +const C2: f64 = 1.0 / 120.0; +const C3: f64 = 1.0 / 24.0; +const C4: f64 = 1.0 / 3.0; +const C5: f64 = 1.0 / 15.0; + +/// Largest absolute latitude of origin, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Newton iterations of PROJ `pj_generic_inverse_2d`. +const NEWTON_MAX_ITERS: usize = 15; + +/// Residual in units of a at which the Newton inverse stops, PROJ +/// `cass_e_inverse` `deltaXYTolerance`. +const NEWTON_TOLERANCE: f64 = 1e-12; + +/// Residual above which the Jacobian is recomputed, PROJ +/// `pj_generic_inverse_2d`. +const JACOBIAN_REFRESH: f64 = 1e-6; + +/// Finite-difference step for the Jacobian, radians. +const JACOBIAN_STEP: f64 = 1e-6; + +/// Largest Newton correction per step, radians. +const MAX_STEP: f64 = 0.3; + +/// Defining parameters of one Cassini-Soldner projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct CassParams { + /// Latitude of natural origin φ0, degrees (`+lat_0`). + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees (`+lon_0`). + pub lon0_deg: f64, + /// False easting, metres (`+x_0`). + pub false_easting: f64, + /// False northing, metres (`+y_0`). + pub false_northing: f64, + /// EPSG 9833 Hyperbolic Cassini-Soldner (`+hyperbolic`), the + /// Vanua Levu Grid variant. Ellipsoid only. + pub hyperbolic: bool, +} + +impl CassParams { + /// Read from PROJ-string parameters. Every number defaults to 0 as in + /// PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + hyperbolic: p.has("hyperbolic"), + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=cass +lat_0={} +lon_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.false_easting, self.false_northing + ); + if self.hyperbolic { + out.push_str(" +hyperbolic"); + } + } +} + +/// Cassini-Soldner with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Cassini { + params: CassParams, + a: f64, + es: f64, + lon0: f64, + phi0: f64, + /// Meridian arc; `None` on a sphere. + arc: Option, + /// Arc to the origin latitude, units of a. + m0: f64, +} + +impl Cassini { + pub fn new(p: &CassParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let es = ell.e2(); + let (arc, m0) = if ell.is_sphere() { + (None, 0.0) + } else { + let arc = MeridianArc::new(es); + let m0 = arc.arc(phi0, phi0.sin(), phi0.cos()); + (Some(arc), m0) + }; + Self { + params: *p, + a: ell.a, + es, + lon0: p.lon0_deg.to_radians(), + phi0, + arc, + m0, + } + } + + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let (x, y) = match &self.arc { + Some(arc) => self.e_forward(arc, lam, phi), + None => ( + (phi.cos() * lam.sin()).asin(), + phi.tan().atan2(lam.cos()) - self.phi0, + ), + }; + Ok(( + self.params.false_easting + self.a * x, + self.params.false_northing + self.a * y, + )) + } + + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + let (lam, phi) = match &self.arc { + Some(arc) => self.e_inverse(arc, x, y)?, + None => { + let dd = y + self.phi0; + ((x.tan()).atan2(dd.cos()), (dd.sin() * x.cos()).asin()) + } + }; + Ok((wrap_pi(lam + self.lon0), phi)) + } + + /// Ellipsoidal series, PROJ `cass_e_forward` (Snyder eqs. 13-5, 13-6). + fn e_forward(&self, arc: &MeridianArc, lam: f64, phi: f64) -> (f64, f64) { + let (sinphi, cosphi) = phi.sin_cos(); + let m = arc.arc(phi, sinphi, cosphi); + let nu_square = 1.0 / (1.0 - self.es * sinphi * sinphi); + let nu = nu_square.sqrt(); + let tanphi = phi.tan(); + let t = tanphi * tanphi; + let a = lam * cosphi; + let c = self.es * (cosphi * cosphi) / (1.0 - self.es); + let a2 = a * a; + let x = nu * a * (1.0 - a2 * t * (C1 + (8.0 - t + 8.0 * c) * a2 * C2)); + let mut y = m - self.m0 + nu * tanphi * a2 * (0.5 + (5.0 - t + 6.0 * c) * a2 * C3); + if self.params.hyperbolic { + // GN 7-2 §3.2.2 hyperbolic correction X − X³ / (6 ρ ν). + let rho = nu_square * (1.0 - self.es) * nu; + y -= y * y * y / (6.0 * rho * nu); + } + (x, y) + } + + /// Ellipsoidal inverse, PROJ `cass_e_inverse`: Snyder eqs. 13-9 to + /// 13-11 as the start of PROJ `pj_generic_inverse_2d`. + fn e_inverse(&self, arc: &MeridianArc, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let phi1 = arc.inverse(self.m0 + y)?; + let tanphi1 = phi1.tan(); + let t1 = tanphi1 * tanphi1; + let sinphi1 = phi1.sin(); + let nu1_square = 1.0 / (1.0 - self.es * sinphi1 * sinphi1); + let nu1 = nu1_square.sqrt(); + let rho1 = nu1_square * (1.0 - self.es) * nu1; + let d = x / nu1; + let d2 = d * d; + let phi = phi1 - (nu1 * tanphi1 / rho1) * d2 * (0.5 - (1.0 + 3.0 * t1) * d2 * C3); + let lam = d * (1.0 + t1 * d2 * (-C4 + (1.0 + 3.0 * t1) * d2 * C5)) / phi1.cos(); + self.newton(arc, x, y, lam, phi) + } + + /// 2-D Newton refinement with a finite-difference Jacobian, PROJ + /// `pj_generic_inverse_2d`. + fn newton( + &self, + arc: &MeridianArc, + x: f64, + y: f64, + lam: f64, + phi: f64, + ) -> Result<(f64, f64), DomainReason> { + let (mut lam, mut phi) = (lam, phi); + let (mut d_lam_x, mut d_lam_y, mut d_phi_x, mut d_phi_y) = (0.0, 0.0, 0.0, 0.0); + for i in 0..NEWTON_MAX_ITERS { + let (ax, ay) = self.e_forward(arc, lam, phi); + let dx = ax - x; + let dy = ay - y; + if dx.abs() < NEWTON_TOLERANCE && dy.abs() < NEWTON_TOLERANCE { + return Ok((lam, phi)); + } + if i == 0 || dx.abs() > JACOBIAN_REFRESH || dy.abs() > JACOBIAN_REFRESH { + let h_lam = if lam > 0.0 { + -JACOBIAN_STEP + } else { + JACOBIAN_STEP + }; + let (x2, y2) = self.e_forward(arc, lam + h_lam, phi); + let dx_lam = (x2 - ax) / h_lam; + let dy_lam = (y2 - ay) / h_lam; + let h_phi = if phi > 0.0 { + -JACOBIAN_STEP + } else { + JACOBIAN_STEP + }; + let (x2, y2) = self.e_forward(arc, lam, phi + h_phi); + let dx_phi = (x2 - ax) / h_phi; + let dy_phi = (y2 - ay) / h_phi; + let det = dx_lam * dy_phi - dx_phi * dy_lam; + if det != 0.0 { + d_lam_x = dy_phi / det; + d_lam_y = -dx_phi / det; + d_phi_x = -dy_lam / det; + d_phi_y = dx_lam / det; + } + } + let step_lam = (dx * d_lam_x + dy * d_lam_y).clamp(-MAX_STEP, MAX_STEP); + lam = (lam - step_lam).clamp(-PI, PI); + let step_phi = (dx * d_phi_x + dy * d_phi_y).clamp(-MAX_STEP, MAX_STEP); + phi = (phi - step_phi).clamp(-FRAC_PI_2, FRAC_PI_2); + } + Err(DomainReason::NoConvergence) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn params(lat0_deg: f64, lon0_deg: f64, false_easting: f64, false_northing: f64) -> CassParams { + CassParams { + lat0_deg, + lon0_deg, + false_easting, + false_northing, + hyperbolic: false, + } + } + + fn check(p: &CassParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let cass = Cassini::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = cass.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = cass.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + /// GN 7-2 §3.2.2 example, Trinidad 1903 / Trinidad Grid, in Clarke's + /// links: Clarke 1858 a = 31 706 587.88 links, 1/f = 294.2606764, + /// φ0 = 10°26′30″N, λ0 = 61°20′00″W, FE = 430 000 links, + /// FN = 325 000 links. φ = 10°N, λ = 62°W → E = 66 644.94 links, + /// N = 82 536.22 links. + #[test] + fn gn7_2_trinidad() { + let lat0 = 10.0 + 26.0 / 60.0 + 30.0 / 3600.0; + let lon0 = -(61.0 + 20.0 / 60.0); + let ell = Ellipsoid { + a: 31_706_587.88, + inv_f: 294.260_676_4, + }; + let cass = Cassini::new(¶ms(lat0, lon0, 430_000.0, 325_000.0), &ell); + let (x, y) = cass + .forward((-62f64).to_radians(), 10f64.to_radians()) + .unwrap(); + assert!( + (x - 66_644.94).abs() < 0.005 && (y - 82_536.22).abs() < 0.005, + "{x} {y}" + ); + let (lam, phi) = cass.inverse(66_644.94, 82_536.22).unwrap(); + assert!((lam.to_degrees() + 62.0).abs() < 1e-7 && (phi.to_degrees() - 10.0).abs() < 1e-7); + } + + /// PROJ 9.8.1 via pyproj 3.8.0 for the GDM2000 state grids, EPSG + /// 3377–3385, each `+proj=cass +lat_0=… +lon_0=… +x_0=… +y_0=… + /// +ellps=GRS80` as in the EPSG table. Rows: (lat0, lon0, x0, y0, + /// lon, lat, x, y). + #[test] + fn gdm2000_state_grids() { + for row in GDM2000 { + let [lat0, lon0, x0, y0, lon, lat, x, y] = *row; + check( + ¶ms(lat0, lon0, x0, y0), + &Ellipsoid::GRS80, + &[[lon, lat, x, y]], + ); + } + } + + const GDM2000: &[[f64; 8]] = &[ + // EPSG:3377 GDM2000 / Johor Grid + [ + 2.12167974444444, + 103.427936236111, + -14810.562, + 8758.32, + 103.52, + 2.08, + -4568.778015175592, + 4149.848894692858, + ], + // EPSG:3377 GDM2000 / Johor Grid + [ + 2.12167974444444, + 103.427936236111, + -14810.562, + 8758.32, + 102.54, + 2.85, + -113533.72065212582, + 89331.37648655649, + ], + // EPSG:3378 GDM2000 / Sembilan and Melaka Grid + [ + 2.68234763611111, + 101.974905041667, + 3673.785, + -4240.573, + 102.205, + 2.655, + 29260.52717390083, + -7262.203986713459, + ], + // EPSG:3378 GDM2000 / Sembilan and Melaka Grid + [ + 2.68234763611111, + 101.974905041667, + 3673.785, + -4240.573, + 101.8, + 3.18, + -15766.774675108012, + 50790.071188531205, + ], + // EPSG:3379 GDM2000 / Pahang Grid + [ + 3.76938808888889, + 102.368298983333, + -7368.228, + 6485.858, + 102.5, + 3.615, + 7263.685344680928, + -10585.143806558506, + ], + // EPSG:3379 GDM2000 / Pahang Grid + [ + 3.76938808888889, + 102.368298983333, + -7368.228, + 6485.858, + 101.43, + 4.68, + -111473.23475130659, + 107251.17740146085, + ], + // EPSG:3380 GDM2000 / Selangor Grid + [ + 3.68464905, + 101.389107913889, + -34836.161, + 56464.049, + 101.365, + 3.205, + -37515.672158265, + 3425.3081720405753, + ], + // EPSG:3380 GDM2000 / Selangor Grid + [ + 3.68464905, + 101.389107913889, + -34836.161, + 56464.049, + 100.86, + 3.77, + -93609.57369879901, + 65919.91306226248, + ], + // EPSG:3381 GDM2000 / Terengganu Grid + [ + 4.9762852, + 103.070275625, + 19594.245, + 3371.895, + 103.05, + 4.895, + 17345.350054870152, + -5616.791316690804, + ], + // EPSG:3381 GDM2000 / Terengganu Grid + [ + 4.9762852, + 103.070275625, + 19594.245, + 3371.895, + 102.48, + 5.8, + -45780.77549408487, + 94495.6759236236, + ], + // EPSG:3382 GDM2000 / Pinang Grid + [ + 5.42151754166667, + 100.344376963889, + -23.414, + 62.283, + 100.34, + 5.355, + -508.54300377559804, + -7293.495598518345, + ], + // EPSG:3382 GDM2000 / Pinang Grid + [ + 5.42151754166667, + 100.344376963889, + -23.414, + 62.283, + 100.22, + 5.49, + -13805.905549187662, + 7636.799863656235, + ], + // EPSG:3383 GDM2000 / Kedah and Perlis Grid + [ + 5.96467271388889, + 100.636371111111, + 0.0, + 0.0, + 100.355, + 5.9, + -31157.270629031478, + -7144.041483735553, + ], + // EPSG:3383 GDM2000 / Kedah and Perlis Grid + [ + 5.96467271388889, + 100.636371111111, + 0.0, + 0.0, + 99.69, + 6.62, + -104651.73329365306, + 72570.73845025174, + ], + // EPSG:3384 GDM2000 / Perak Grid + [ + 4.85906302222222, + 100.815410586111, + -1.769, + 133454.779, + 101.035, + 4.79, + 24358.006918962714, + 125821.54086360031, + ], + // EPSG:3384 GDM2000 / Perak Grid + [ + 4.85906302222222, + 100.815410586111, + -1.769, + 133454.779, + 100.17, + 5.82, + -71480.64811689194, + 239759.78035247474, + ], + // EPSG:3385 GDM2000 / Kelantan Grid + [ + 5.97254365833333, + 102.295241669444, + 13227.851, + 8739.894, + 102.0, + 5.415, + -19492.60336433349, + -52908.23524820403, + ], + // EPSG:3385 GDM2000 / Kelantan Grid + [ + 5.97254365833333, + 102.295241669444, + 13227.851, + 8739.894, + 101.43, + 6.19, + -82532.54050499732, + 32865.65315694644, + ], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=cass +lat_0=48 +lon_0=16 +R=6370997`. + #[test] + fn sphere() { + check( + ¶ms(48.0, 16.0, 0.0, 0.0), + &Ellipsoid::sphere(6_370_997.0), + SPHERE_PTS, + ); + } + + const SPHERE_PTS: &[[f64; 4]] = &[ + [17.0, 49.0, 72948.29160438642, 111675.35102138421], + [14.0, 46.0, -154468.66333483803, -220449.84087588376], + [16.0, 48.0, 0.0, 0.0], + ]; + + /// EPSG 9833, PROJ 9.8.1 via pyproj 3.8.0, EPSG:3139 Vanua Levu Grid + /// in metres instead of links: `+proj=cass +hyperbolic +lat_0=-16.25 + /// +lon_0=179.333333333333 +x_0=251727.9155424 +y_0=334519.953768 + /// +a=6378306.3696 +b=6356571.996`. + #[test] + fn hyperbolic_vanua_levu() { + let mut p = params( + -16.25, + 179.333_333_333_333, + 251_727.915_542_4, + 334_519.953_768, + ); + p.hyperbolic = true; + let a = 6_378_306.369_6; + let ell = Ellipsoid { + a, + inv_f: a / (a - 6_356_571.996), + }; + check(&p, &ell, HYPERBOLIC_PTS); + } + + const HYPERBOLIC_PTS: &[[f64; 4]] = &[ + [179.3, -16.4, 248167.17721095833, 317921.5387187793], + [178.9, -16.6, 205485.89162969342, 295740.8647022293], + [-179.9, -16.2, 333707.8206480166, 339899.5818423088], + ]; + + #[test] + fn parses_and_writes() { + let p = ProjParams::tokenize("+proj=cass +lat_0=2.12167974444444 +lon_0=103.427936236111 +x_0=-14810.562 +y_0=8758.32").unwrap(); + let c = CassParams::from_proj(&p).unwrap(); + assert!(!c.hyperbolic); + let mut s = String::new(); + c.write_proj(&mut s); + assert_eq!( + s, + " +proj=cass +lat_0=2.12167974444444 +lon_0=103.427936236111 +x_0=-14810.562 +y_0=8758.32" + ); + } +} diff --git a/nodedb-crs/src/method/cea.rs b/nodedb-crs/src/method/cea.rs new file mode 100644 index 000000000..efd9e2d5b --- /dev/null +++ b/nodedb-crs/src/method/cea.rs @@ -0,0 +1,259 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Lambert Cylindrical Equal Area, PROJ `cea`. +//! +//! Covers EPSG methods 9835 (ellipsoidal) and 9834 (spherical). Follows +//! PROJ 9.8.1 `src/projections/cea.cpp`, IOGP Guidance Note 7-2 §3.5.5 and +//! Snyder 1987 eqs. 10-15 to 10-19. + +use core::f64::consts::FRAC_PI_2; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::authalic::Authalic; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `cea.cpp` EPS: slack on |sin φ| ≤ 1 in the spherical inverse. +const SPHERE_EPS: f64 = 1e-10; + +/// Largest absolute standard parallel, degrees, exclusive. +const MAX_LAT_TS_DEG: f64 = 90.0; + +/// Defining parameters of one Lambert Cylindrical Equal Area projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct CeaParams { + /// Longitude of natural origin λ0, degrees. + pub lon0_deg: f64, + /// Latitude of the standard parallel φ1, degrees. When absent, `k0` + /// sets the scale on the equator, as PROJ reads `+k_0`. + pub lat_ts_deg: Option, + /// Scale factor on the equator. Ignored when `lat_ts_deg` is set. + pub k0: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl CeaParams { + /// Read from PROJ-string parameters. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat_ts_deg = p.number("lat_ts")?; + if let Some(lat_ts) = lat_ts_deg + && lat_ts.abs() >= MAX_LAT_TS_DEG + { + return Err(CrsParseError::invalid("lat_ts", &lat_ts.to_string())); + } + let k0 = p.number_any(&["k_0", "k"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k_0", &k0.to_string())); + } + Ok(Self { + lon0_deg: p.number_or("lon_0", 0.0)?, + lat_ts_deg, + k0, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append ` +proj=cea` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + out.push_str(" +proj=cea"); + let _ = match self.lat_ts_deg { + Some(lat_ts) => write!(out, " +lat_ts={lat_ts}"), + None => write!(out, " +k_0={}", self.k0), + }; + let _ = write!( + out, + " +lon_0={} +x_0={} +y_0={}", + self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// A Lambert Cylindrical Equal Area projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct CylindricalEqualArea { + /// λ0 in radians. + lon0: f64, + /// Semi-major axis a, metres. + a: f64, + /// Scale factor on the equator. + k0: f64, + /// Authalic latitude conversion. `None` on a sphere. + authalic: Option, + false_easting: f64, + false_northing: f64, +} + +impl CylindricalEqualArea { + pub fn new(p: &CeaParams, ell: &Ellipsoid) -> Self { + let sphere = ell.is_sphere(); + // GN 7-2 §3.5.5: k0 = cos φ1 / sqrt(1 − e² sin² φ1). + let k0 = match p.lat_ts_deg { + Some(lat_ts) => { + let (s, c) = lat_ts.to_radians().sin_cos(); + if sphere { + c + } else { + c / (1.0 - ell.e2() * s * s).sqrt() + } + } + None => p.k0, + }; + Self { + lon0: p.lon0_deg.to_radians(), + a: ell.a, + k0, + authalic: if sphere { + None + } else { + Some(Authalic::new(ell.e2())) + }, + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. GN 7-2 §3.5.5: + /// E = FE + a k0 (λ − λ0), N = FN + a q / (2 k0). + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let x = self.k0 * wrap_pi(lam - self.lon0); + let y = match &self.authalic { + Some(auth) => 0.5 * auth.q(phi.sin()) / self.k0, + None => phi.sin() / self.k0, + }; + Ok(( + self.false_easting + self.a * x, + self.false_northing + self.a * y, + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let yk = (y - self.false_northing) / self.a * self.k0; + let phi = match &self.authalic { + // β = asin(2 N k0 / (a qp)), PROJ cea_e_inverse. + Some(auth) => { + let ratio = 2.0 * yk / auth.qp(); + if ratio.abs() > 1.0 { + return Err(DomainReason::OutsideProjection); + } + auth.from_authalic(ratio.asin()) + } + None => { + let t = yk.abs(); + if t - SPHERE_EPS > 1.0 { + return Err(DomainReason::OutsideProjection); + } + if t >= 1.0 { + FRAC_PI_2.copysign(yk) + } else { + yk.asin() + } + } + }; + let lam = (x - self.false_easting) / (self.a * self.k0); + Ok((wrap_pi(self.lon0 + lam), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + fn build(text: &str, ell: Ellipsoid) -> CylindricalEqualArea { + let p = CeaParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + CylindricalEqualArea::new(&p, &ell) + } + + fn check(m: &CylindricalEqualArea, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = m.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat}): got ({}, {})", + lam.to_degrees(), + phi.to_degrees() + ); + } + + /// EPSG 9835, WGS 84 / NSIDC EASE-Grid 2.0 Global (EPSG:6933). pyproj + /// 3.8.0 / PROJ 9.8.1, "+proj=cea +lat_ts=30 +lon_0=0 +datum=WGS84". + #[test] + fn ease_grid_2_ellipsoidal() { + let m = build( + "+proj=cea +lat_ts=30 +lon_0=0 +x_0=0 +y_0=0", + Ellipsoid::WGS84, + ); + check(&m, 10.0, 5.0, [964_862.802_5, 637_078.744_0]); + check(&m, -120.0, 60.0, [-11_578_353.630_1, 6_351_419.997_3]); + check(&m, 170.0, -80.0, [16_402_667.642_7, -7_229_704.847_6]); + } + + /// EPSG 9834, NSIDC EASE-Grid Global (EPSG:3410). pyproj, "+proj=cea + /// +lat_ts=30 +lon_0=0 +R=6371228". + #[test] + fn ease_grid_spherical() { + let m = build( + "+proj=cea +lat_ts=30 +lon_0=0 +x_0=0 +y_0=0", + Ellipsoid::sphere(6_371_228.0), + ); + check(&m, 10.0, 5.0, [963_010.774_6, 641_192.632_6]); + check(&m, -120.0, 60.0, [-11_556_129.295_8, 6_371_228.000_0]); + check(&m, 170.0, -80.0, [16_371_183.169_0, -7_245_093.161_5]); + } + + #[test] + fn beyond_the_pole_is_outside() { + let m = build("+proj=cea +lat_ts=30", Ellipsoid::WGS84); + assert_eq!(m.inverse(0.0, 1e7), Err(DomainReason::OutsideProjection)); + let s = build("+proj=cea +lat_ts=30", Ellipsoid::sphere(6_371_228.0)); + assert_eq!(s.inverse(0.0, 1e7), Err(DomainReason::OutsideProjection)); + } + + #[test] + fn parse_and_round_trip() { + for text in [ + "+proj=cea +lat_ts=30 +lon_0=-5 +x_0=1", + "+proj=cea +k_0=0.9 +y_0=7", + ] { + let p = CeaParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + CeaParams::from_proj(&ProjParams::tokenize(&out).unwrap()), + Ok(p), + "{out}" + ); + } + assert!( + CeaParams::from_proj(&ProjParams::tokenize("+proj=cea +lat_ts=95").unwrap()).is_err() + ); + } +} diff --git a/nodedb-crs/src/method/conformal.rs b/nodedb-crs/src/method/conformal.rs new file mode 100644 index 000000000..cbe3ac6b1 --- /dev/null +++ b/nodedb-crs/src/method/conformal.rs @@ -0,0 +1,111 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Conformal-latitude helpers shared by the conformal projections. +//! +//! Follows PROJ 9.8.1 `src/msfn.cpp`, `src/tsfn.cpp` and `src/phi2.cpp`, +//! and Snyder, "Map Projections: A Working Manual" (USGS PP 1395, 1987). + +use crate::error::DomainReason; + +/// Newton iterations allowed in [`tanphi_from_sinhpsi`]. PROJ `phi2.cpp` +/// uses 5. Two reach double precision for terrestrial flattening. +pub const SINHPSI_MAX_ITERS: usize = 5; + +/// τ' above which the Newton start uses τ = exp(e·atanh e)·τ'. PROJ +/// `phi2.cpp`: 70 corresponds to χ = 89.18°. +const LARGE_TAUP: f64 = 70.0; + +/// m(φ) = cos φ / sqrt(1 − e² sin² φ) (Snyder 14-15, PROJ `pj_msfn`). +pub fn msfn(sinphi: f64, cosphi: f64, e2: f64) -> f64 { + cosphi / (1.0 - e2 * sinphi * sinphi).sqrt() +} + +/// t(φ) = tan(π/4 − φ/2) / ((1 − e sin φ)/(1 + e sin φ))^(e/2) (Snyder +/// 15-9, PROJ `pj_tsfn`). Computed as exp(−ψ), ψ the isometric latitude, +/// in the form PROJ uses for full accuracy on both hemispheres. +pub fn tsfn(phi: f64, sinphi: f64, e: f64) -> f64 { + let cosphi = phi.cos(); + let geo = if sinphi > 0.0 { + cosphi / (1.0 + sinphi) + } else { + (1.0 - sinphi) / cosphi + }; + (e * (e * sinphi).atanh()).exp() * geo +} + +/// tan φ from τ' = sinh ψ = tan χ, by Newton's method (Karney 2011 eq. 7, +/// PROJ `pj_sinhpsi2tanphi`). Err(NoConvergence) when the iteration does +/// not settle. +pub fn tanphi_from_sinhpsi(taup: f64, e: f64) -> Result { + let rooteps = f64::EPSILON.sqrt(); + let tol = rooteps / 10.0; + let tmax = 2.0 / rooteps; + let e2m = 1.0 - e * e; + let stol = tol * taup.abs().max(1.0); + let mut tau = if taup.abs() > LARGE_TAUP { + taup * (e * e.atanh()).exp() + } else { + taup / e2m + }; + // Covers ±∞, NaN and e = 1, as in PROJ. + if tau.is_nan() || tau.abs() >= tmax { + return Ok(tau); + } + for _ in 0..SINHPSI_MAX_ITERS { + let tau1 = (1.0 + tau * tau).sqrt(); + let sig = (e * (e * tau / tau1).atanh()).sinh(); + let taupa = (1.0 + sig * sig).sqrt() * tau - sig * tau1; + let dtau = + (taup - taupa) * (1.0 + e2m * tau * tau) / (e2m * tau1 * (1.0 + taupa * taupa).sqrt()); + tau += dtau; + if dtau.is_nan() || dtau.abs() < stol { + return Ok(tau); + } + } + Err(DomainReason::NoConvergence) +} + +/// Inverse of [`tsfn`] (Snyder 7-9, PROJ `pj_phi2`): φ from t = exp(−ψ). +/// Err(NoConvergence) if the iteration fails. +pub fn phi_from_ts(ts: f64, e: f64) -> Result { + Ok(tanphi_from_sinhpsi((1.0 / ts - ts) / 2.0, e)?.atan()) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::def::Ellipsoid; + + #[test] + fn ts_round_trips() { + let e = Ellipsoid::WGS84.e(); + for deg in [-89.9, -60.0, -1.0, 0.0, 0.5, 45.0, 85.0, 89.99] { + let phi = f64::to_radians(deg); + let ts = tsfn(phi, phi.sin(), e); + let back = phi_from_ts(ts, e).unwrap(); + assert!((back - phi).abs() < 1e-14, "{deg}: {back}"); + } + } + + #[test] + fn sphere_ts_is_tan_half_colatitude() { + let phi = 0.7_f64; + let want = (core::f64::consts::FRAC_PI_4 - phi / 2.0).tan(); + assert!((tsfn(phi, phi.sin(), 0.0) - want).abs() < 1e-15); + assert!((phi_from_ts(want, 0.0).unwrap() - phi).abs() < 1e-15); + } + + #[test] + fn msfn_on_equator_is_one() { + assert_eq!(msfn(0.0, 1.0, Ellipsoid::GRS80.e2()), 1.0); + let phi = 0.5_f64; + assert_eq!(msfn(phi.sin(), phi.cos(), 0.0), phi.cos()); + } + + #[test] + fn pole_and_infinite_tau_pass_through() { + let e = Ellipsoid::WGS84.e(); + assert_eq!(tanphi_from_sinhpsi(f64::INFINITY, e), Ok(f64::INFINITY)); + assert_eq!(tanphi_from_sinhpsi(0.0, e), Ok(0.0)); + } +} diff --git a/nodedb-crs/src/method/eqc.rs b/nodedb-crs/src/method/eqc.rs new file mode 100644 index 000000000..37e2fc6bc --- /dev/null +++ b/nodedb-crs/src/method/eqc.rs @@ -0,0 +1,245 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Equidistant Cylindrical, PROJ `eqc`. +//! +//! Covers EPSG methods 1028 (ellipsoidal) and 1029 (spherical). Follows +//! PROJ 9.8.1 `src/projections/eqc.cpp` and IOGP Guidance Note 7-2 §3.2.5: +//! E = FE + ν1 cos φ1 (λ − λ0), N = FN + M(φ) − M(φ0). PROJ picks the +//! spherical form when the ellipsoid is a sphere. + +use core::f64::consts::FRAC_PI_2; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::meridian::MeridianArc; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Largest absolute latitude, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Defining parameters of one Equidistant Cylindrical projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct EqcParams { + /// Latitude of the standard parallel φ1, degrees. + pub lat_ts_deg: f64, + /// Latitude of natural origin φ0, degrees. + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees. + pub lon0_deg: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl EqcParams { + /// Read from PROJ-string parameters. PROJ defaults `+lat_ts` and + /// `+lat_0` to 0 and ignores `+k`. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat_ts_deg = p.number_or("lat_ts", 0.0)?; + if lat_ts_deg.abs() >= MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_ts", &lat_ts_deg.to_string())); + } + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + Ok(Self { + lat_ts_deg, + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append ` +proj=eqc` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=eqc +lat_ts={} +lat_0={} +lon_0={} +x_0={} +y_0={}", + self.lat_ts_deg, self.lat0_deg, self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// An Equidistant Cylindrical projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct EquidistantCylindrical { + /// λ0 in radians. + lon0: f64, + /// φ0 in radians. + phi0: f64, + /// Semi-major axis a, metres. + a: f64, + /// ν1 cos φ1 over a, or cos φ1 on a sphere. + rc: f64, + /// Meridian arc on an ellipsoid, `None` on a sphere. + arc: Option, + /// M(φ0) over a. + m0: f64, + false_easting: f64, + false_northing: f64, +} + +impl EquidistantCylindrical { + pub fn new(p: &EqcParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let (sin1, cos1) = p.lat_ts_deg.to_radians().sin_cos(); + let (rc, arc, m0) = if ell.is_sphere() { + (cos1, None, 0.0) + } else { + let e2 = ell.e2(); + let arc = MeridianArc::new(e2); + let m0 = arc.arc(phi0, phi0.sin(), phi0.cos()); + (cos1 / (1.0 - e2 * sin1 * sin1).sqrt(), Some(arc), m0) + }; + Self { + lon0: p.lon0_deg.to_radians(), + phi0, + a: ell.a, + rc, + arc, + m0, + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let x = self.rc * wrap_pi(lam - self.lon0); + let y = match &self.arc { + Some(arc) => arc.arc(phi, phi.sin(), phi.cos()) - self.m0, + None => phi - self.phi0, + }; + Ok(( + self.false_easting + self.a * x, + self.false_northing + self.a * y, + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let dy = (y - self.false_northing) / self.a; + let phi = match &self.arc { + Some(arc) => arc.inverse(dy + self.m0)?, + None => dy + self.phi0, + }; + if phi.abs() > FRAC_PI_2 { + return Err(DomainReason::OutsideProjection); + } + let lam = (x - self.false_easting) / (self.a * self.rc); + Ok((wrap_pi(self.lon0 + lam), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + fn build(text: &str, ell: Ellipsoid) -> EquidistantCylindrical { + let p = EqcParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + EquidistantCylindrical::new(&p, &ell) + } + + fn check(m: &EquidistantCylindrical, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = m.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat}): got ({}, {})", + lam.to_degrees(), + phi.to_degrees() + ); + } + + /// GN 7-2 §3.2.5 example, EPSG 1028: WGS 84 / World Equidistant + /// Cylindrical (EPSG:4087), point 55°N, 10°E. GN 7-2 prints + /// E = 1113194.91 m, N = 6097230.31 m. The other points are pyproj + /// 3.8.0 / PROJ 9.8.1 on the same string. + #[test] + fn gn_1028_world_equidistant_cylindrical() { + let m = build( + "+proj=eqc +lat_ts=0 +lat_0=0 +lon_0=0 +x_0=0 +y_0=0", + Ellipsoid::WGS84, + ); + let (x, y) = m.forward(10f64.to_radians(), 55f64.to_radians()).unwrap(); + assert!((x - 1_113_194.91).abs() < 0.005 && (y - 6_097_230.31).abs() < 0.005); + check(&m, 10.0, 55.0, [1_113_194.907_9, 6_097_230.313_1]); + check(&m, -120.0, -30.0, [-13_358_338.895_2, -3_320_113.397_9]); + check(&m, 170.0, 89.0, [18_924_313.434_9, 9_890_271.864_4]); + } + + /// pyproj, "+proj=eqc +lat_ts=30 +lat_0=10 +lon_0=5 +x_0=100 +y_0=200 + /// +ellps=intl". + #[test] + fn ellipsoidal_with_offsets() { + let m = build( + "+proj=eqc +lat_ts=30 +lat_0=10 +lon_0=5 +x_0=100 +y_0=200", + Ellipsoid::INTERNATIONAL_1924, + ); + check(&m, 20.0, 40.0, [1_447_456.286_2, 3_323_937.630_0]); + check(&m, -10.0, -20.0, [-1_447_256.286_2, -3_318_061.358_9]); + } + + /// EPSG 1029 form. pyproj, "+proj=eqc +lat_ts=30 +lat_0=10 +lon_0=5 + /// +R=6371007". + #[test] + fn spherical() { + let m = build( + "+proj=eqc +lat_ts=30 +lat_0=10 +lon_0=5", + Ellipsoid::sphere(6_371_007.0), + ); + check(&m, 20.0, 40.0, [1_444_466.055_8, 3_335_851.464_5]); + check(&m, -10.0, -20.0, [-1_444_466.055_8, -3_335_851.464_5]); + } + + #[test] + fn beyond_the_pole_is_outside() { + let m = build("+proj=eqc", Ellipsoid::WGS84); + assert_eq!(m.inverse(0.0, 1.1e7), Err(DomainReason::OutsideProjection)); + } + + #[test] + fn parse_and_round_trip() { + let p = EqcParams::from_proj( + &ProjParams::tokenize("+proj=eqc +lat_ts=30 +lat_0=10 +lon_0=5 +x_0=1").unwrap(), + ) + .unwrap(); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + EqcParams::from_proj(&ProjParams::tokenize(&out).unwrap()), + Ok(p), + "{out}" + ); + assert!( + EqcParams::from_proj(&ProjParams::tokenize("+proj=eqc +lat_ts=90").unwrap()).is_err() + ); + } +} diff --git a/nodedb-crs/src/method/eqearth.rs b/nodedb-crs/src/method/eqearth.rs new file mode 100644 index 000000000..6120a1964 --- /dev/null +++ b/nodedb-crs/src/method/eqearth.rs @@ -0,0 +1,255 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Equal Earth, EPSG method 1078, PROJ `eqearth`. +//! +//! Follows PROJ 9.8.1 `src/projections/eqearth.cpp` (B. Šavrič, +//! T. Patterson, B. Jenny, "The Equal Earth map projection", IJGIS 33 +//! (2019), eqs. 1–2; IOGP Guidance Note 7-2 §3.12.3). The ellipsoidal form +//! applies the spherical formulas to the authalic latitude and scales by +//! the authalic radius. + +use core::f64::consts::PI; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::authalic::Authalic; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Polynomial coefficients A1 to A4, Šavrič et al. 2019 eq. 1. +const A1: f64 = 1.340_264; +const A2: f64 = -0.081_106; +const A3: f64 = 0.000_893; +const A4: f64 = 0.003_796; + +/// y at 90° latitude on the unit sphere, PROJ `MAX_Y`. +const MAX_Y: f64 = 1.317_362_759_157_4; + +/// Newton step below which the inverse stops, PROJ `EPS`. +const EPS: f64 = 1e-11; + +/// Newton iterations of the inverse, PROJ `MAX_ITER`. +const MAX_ITER: usize = 12; + +/// |λ − λ0| beyond π by more than this is outside the map. +const LON_TOL: f64 = 1e-10; + +/// M = √3 / 2, Šavrič et al. 2019 eq. 1. +fn m() -> f64 { + 3f64.sqrt() / 2.0 +} + +/// Defining parameters of one Equal Earth projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct EqEarthParams { + /// Longitude of natural origin λ0, degrees (`+lon_0`). + pub lon0_deg: f64, + /// False easting, metres (`+x_0`). + pub false_easting: f64, + /// False northing, metres (`+y_0`). + pub false_northing: f64, +} + +impl EqEarthParams { + /// Read from PROJ-string parameters. Every key defaults to 0 as in PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + Ok(Self { + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=eqearth +lon_0={} +x_0={} +y_0={}", + self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// Equal Earth with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct EqualEarth { + params: EqEarthParams, + a: f64, + lon0: f64, + /// Authalic conversion; `None` on a sphere. + auth: Option, + /// Authalic radius over a, √(qp / 2); 1 on a sphere. + rqda: f64, +} + +impl EqualEarth { + pub fn new(p: &EqEarthParams, ell: &Ellipsoid) -> Self { + let (auth, rqda) = if ell.is_sphere() { + (None, 1.0) + } else { + let a = Authalic::new(ell.e2()); + let rqda = (0.5 * a.qp()).sqrt(); + (Some(a), rqda) + }; + Self { + params: *p, + a: ell.a, + lon0: p.lon0_deg.to_radians(), + auth, + rqda, + } + } + + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let mut sbeta = phi.sin(); + if let Some(a) = &self.auth { + // sin β = q / qp; rounding past ±1 clamps. + sbeta = (a.q(sbeta) / a.qp()).clamp(-1.0, 1.0); + } + let m = m(); + let psi = (m * sbeta).asin(); + let psi2 = psi * psi; + let psi6 = psi2 * psi2 * psi2; + let x = + lam * psi.cos() / (m * (A1 + 3.0 * A2 * psi2 + psi6 * (7.0 * A3 + 9.0 * A4 * psi2))); + let y = psi * (A1 + A2 * psi2 + psi6 * (A3 + A4 * psi2)); + Ok(( + self.params.false_easting + self.a * x * self.rqda, + self.params.false_northing + self.a * y * self.rqda, + )) + } + + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a / self.rqda; + let y = ((y - self.params.false_northing) / self.a / self.rqda).clamp(-MAX_Y, MAX_Y); + let mut yc = y; + let mut converged = false; + for _ in 0..MAX_ITER { + let y2 = yc * yc; + let y6 = y2 * y2 * y2; + let f = yc * (A1 + A2 * y2 + y6 * (A3 + A4 * y2)) - y; + let fder = A1 + 3.0 * A2 * y2 + y6 * (7.0 * A3 + 9.0 * A4 * y2); + let tol = f / fder; + yc -= tol; + if tol.abs() < EPS { + converged = true; + break; + } + } + if !converged { + return Err(DomainReason::NoConvergence); + } + let m = m(); + let y2 = yc * yc; + let y6 = y2 * y2 * y2; + let lam = m * x * (A1 + 3.0 * A2 * y2 + y6 * (7.0 * A3 + 9.0 * A4 * y2)) / yc.cos(); + if lam.abs() > PI + LON_TOL { + return Err(DomainReason::OutsideProjection); + } + let beta = (yc.sin() / m).asin(); + let phi = match &self.auth { + Some(a) => a.from_authalic(beta), + None => beta, + }; + Ok((wrap_pi(lam + self.lon0), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn params(lon0_deg: f64) -> EqEarthParams { + EqEarthParams { + lon0_deg, + false_easting: 0.0, + false_northing: 0.0, + } + } + + fn check(p: &EqEarthParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let ee = EqualEarth::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = ee.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = ee.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + /// EPSG:8857 WGS 84 / Equal Earth Greenwich, PROJ 9.8.1 via pyproj + /// 3.8.0, `+proj=eqearth +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84`. + #[test] + fn greenwich() { + check(¶ms(0.0), &Ellipsoid::WGS84, GREENWICH); + } + + const GREENWICH: &[[f64; 4]] = &[ + [0.0, 0.0, 0.0, 0.0], + [10.0, 52.0, 778005.2988841359, 6184897.936534862], + [-120.0, -35.0, -10496394.36359727, -4352308.175397291], + [179.0, 80.0, 10585770.166707683, 8205603.096488446], + ]; + + /// EPSG:8859 WGS 84 / Equal Earth Asia-Pacific, PROJ 9.8.1 via pyproj + /// 3.8.0, `+proj=eqearth +lon_0=150 +x_0=0 +y_0=0 +datum=WGS84`. + #[test] + fn asia_pacific() { + check(¶ms(150.0), &Ellipsoid::WGS84, ASIA_PACIFIC); + } + + const ASIA_PACIFIC: &[[f64; 4]] = &[ + [-170.0, 10.0, 3804392.9698225083, 1281605.5100848149], + [100.0, -40.0, -4248749.153614973, -4921020.061780324], + [150.0, 0.0, 0.0, 0.0], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=eqearth +lon_0=0 +R=6371008.7714`. + #[test] + fn sphere() { + check( + ¶ms(0.0), + &Ellipsoid::sphere(6_371_008.771_4), + SPHERE_PTS, + ); + } + + const SPHERE_PTS: &[[f64; 4]] = &[ + [30.0, 45.0, 2463147.729110954, 5480539.791291671], + [-150.0, -70.0, -9751649.563443083, -7692885.362673924], + ]; + + #[test] + fn parses_and_writes() { + let p = ProjParams::tokenize("+proj=eqearth +lon_0=-90 +x_0=0 +y_0=0").unwrap(); + let q = EqEarthParams::from_proj(&p).unwrap(); + let mut s = String::new(); + q.write_proj(&mut s); + assert_eq!(s, " +proj=eqearth +lon_0=-90 +x_0=0 +y_0=0"); + } +} diff --git a/nodedb-crs/src/method/geodesic/inverse.rs b/nodedb-crs/src/method/geodesic/inverse.rs new file mode 100644 index 000000000..0ee77d1c4 --- /dev/null +++ b/nodedb-crs/src/method/geodesic/inverse.rs @@ -0,0 +1,506 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The inverse geodesic problem, ported from GeographicLib's C library +//! (PROJ 9.8.1 `src/geodesic.c`, `geod_geninverse_int`). + +use super::line::GeodesicSolution; +use super::math::{ + DEGREE, HD, QD, ang_diff, ang_round, atan2_d, lat_fix, norm2, sin_cos_d, sin_cos_de, sq, +}; +use super::model::{Arc, Geodesic, MAXIT1, MAXIT2, TOL0, TOLB, tiny, tol2}; +use super::series::{ORDER, c4f, sin_cos_series}; +use super::start::{Ends, Lambda}; + +/// Multiplier of tol0 in the Newton exit test after `tripn`. +const TRIPN_TOL_FACTOR: f64 = 8.0; + +/// |v| below which Newton's quadratic convergence is trusted, in tol0. +const TRIPN_SET_FACTOR: f64 = 16.0; + +/// cos ω12 above which the area uses the tan(Γ/2) formula: ω12 < 3π/4. +/// GeographicLib writes the threshold as −0.7071. +const AREA_MAX_COMG12: f64 = -core::f64::consts::FRAC_1_SQRT_2; + +/// sin β2 − sin β1 below which the area uses the tan(Γ/2) formula. +const AREA_MAX_DSBET: f64 = 1.75; + +/// Inverse solution in sine/cosine form, before conversion to degrees. +struct Raw { + a12: f64, + s12: f64, + salp1: f64, + calp1: f64, + salp2: f64, + calp2: f64, + m12: f64, + big_m12: f64, + big_m21: f64, + area_s12: f64, +} + +impl Geodesic { + /// Solve the inverse problem between (`lat1`, `lon1`) and (`lat2`, + /// `lon2`): return (s12, azi1, azi2). Degrees and the units of the + /// semi-major axis. + pub fn inverse(&self, lat1: f64, lon1: f64, lat2: f64, lon2: f64) -> (f64, f64, f64) { + let sol = self.inverse_full(lat1, lon1, lat2, lon2); + (sol.s12, sol.azi1, sol.azi2) + } + + /// Solve the inverse problem with every output. + pub fn inverse_full(&self, lat1: f64, lon1: f64, lat2: f64, lon2: f64) -> GeodesicSolution { + let r = self.gen_inverse(lat1, lon1, lat2, lon2); + GeodesicSolution { + lat1, + lon1, + azi1: atan2_d(r.salp1, r.calp1), + lat2, + lon2, + azi2: atan2_d(r.salp2, r.calp2), + s12: r.s12, + a12: r.a12, + m12: r.m12, + big_m12: r.big_m12, + big_m21: r.big_m21, + area_s12: r.area_s12, + } + } + + fn gen_inverse(&self, lat1: f64, lon1: f64, lat2: f64, lon2: f64) -> Raw { + let tiny = tiny(); + let tol2 = tol2(); + // λ12 in [−180°, 180°], −180° only for west-going geodesics. + let (mut lon12, mut lon12s) = ang_diff(lon1, lon2); + let mut lonsign: f64 = if lon12.is_sign_negative() { -1.0 } else { 1.0 }; + lon12 *= lonsign; + lon12s *= lonsign; + let lam12 = lon12 * DEGREE; + let (slam12, clam12) = sin_cos_de(lon12, lon12s); + // The supplementary longitude difference. + let lon12s = (HD - lon12) - lon12s; + + // Treat points very close to the equator as on it. + let mut lat1 = ang_round(lat_fix(lat1)); + let mut lat2 = ang_round(lat_fix(lat2)); + // Point 1 has the larger |latitude|. A NaN latitude becomes lat1. + let swapp: f64 = if lat1.abs() < lat2.abs() || lat2.is_nan() { + -1.0 + } else { + 1.0 + }; + if swapp < 0.0 { + lonsign = -lonsign; + core::mem::swap(&mut lat1, &mut lat2); + } + // lat1 ≤ −0. + let latsign: f64 = if lat1.is_sign_negative() { 1.0 } else { -1.0 }; + lat1 *= latsign; + lat2 *= latsign; + // Canonical form: 0 ≤ λ12 ≤ 180, −90 ≤ lat1 ≤ −0, lat1 ≤ lat2 ≤ −lat1. + + let (sbet1, cbet1) = sin_cos_d(lat1); + let (sbet1, cbet1) = norm2(sbet1 * self.f1, cbet1); + let cbet1 = cbet1.max(tiny); + let (sbet2, cbet2) = sin_cos_d(lat2); + let (mut sbet2, cbet2) = norm2(sbet2 * self.f1, cbet2); + let mut cbet2 = cbet2.max(tiny); + + // Force β2 = ±β1 exactly when the sensitive measure vanishes. + if cbet1 < -sbet1 { + if cbet2 == cbet1 { + sbet2 = sbet1.copysign(sbet2); + } + } else if sbet2.abs() == -sbet1 { + cbet2 = cbet1; + } + + let dn1 = (1.0 + self.ep2 * sq(sbet1)).sqrt(); + let dn2 = (1.0 + self.ep2 * sq(sbet2)).sqrt(); + let ends = Ends { + sbet1, + cbet1, + dn1, + sbet2, + cbet2, + dn2, + }; + + let mut a12 = 0.0; + let mut sig12; + let (mut salp1, mut calp1, mut salp2, mut calp2) = (0.0, 0.0, 0.0, 0.0); + let (mut s12x, mut m12x) = (0.0, 0.0); + let (mut big_m12, mut big_m21) = (0.0, 0.0); + // somg12 = 2 marks "not computed yet". + let (mut omg12, mut somg12, mut comg12) = (0.0, 2.0, 0.0); + + let mut meridian = lat1 == -QD || slam12 == 0.0; + if meridian { + // Both endpoints lie on one full meridian. + calp1 = clam12; + salp1 = slam12; + calp2 = 1.0; + salp2 = 0.0; + let ssig1 = sbet1; + let csig1 = calp1 * cbet1; + let ssig2 = sbet2; + let csig2 = calp2 * cbet2; + sig12 = ((csig1 * ssig2 - ssig1 * csig2).max(0.0) + 0.0) + .atan2(csig1 * csig2 + ssig1 * ssig2); + let l = self.lengths( + &Arc { + eps: self.n, + sig12, + ssig1, + csig1, + dn1, + ssig2, + csig2, + dn2, + cbet1, + cbet2, + }, + true, + ); + s12x = l.s12b; + m12x = l.m12b; + big_m12 = l.big_m12; + big_m21 = l.big_m21; + // Zero-length geodesics can give m12 < 0, hence the σ12 test. + if sig12 < tol2 || m12x >= 0.0 { + if sig12 < 3.0 * tiny || (sig12 < TOL0 && (s12x < 0.0 || m12x < 0.0)) { + sig12 = 0.0; + m12x = 0.0; + s12x = 0.0; + } + m12x *= self.b; + s12x *= self.b; + a12 = sig12 / DEGREE; + } else { + // m12 < 0: prolate and too close to antipodal. + meridian = false; + } + } + + if !meridian && sbet1 == 0.0 && (self.f <= 0.0 || lon12s >= self.f * HD) { + // The geodesic runs along the equator. + calp1 = 0.0; + calp2 = 0.0; + salp1 = 1.0; + salp2 = 1.0; + s12x = self.a * lam12; + sig12 = lam12 / self.f1; + omg12 = sig12; + m12x = self.b * sig12.sin(); + big_m12 = sig12.cos(); + big_m21 = big_m12; + a12 = lon12 / self.f1; + } else if !meridian { + let start = self.inverse_start(&ends, lam12, slam12, clam12); + sig12 = start.sig12; + salp1 = start.salp1; + calp1 = start.calp1; + if sig12 >= 0.0 { + // Short line: the starting guess is the solution. + salp2 = start.salp2; + calp2 = start.calp2; + let dnm = start.dnm; + s12x = sig12 * self.b * dnm; + m12x = sq(dnm) * self.b * (sig12 / dnm).sin(); + big_m12 = (sig12 / dnm).cos(); + big_m21 = big_m12; + a12 = sig12 / DEGREE; + omg12 = lam12 / (self.f1 * dnm); + } else { + let lam = self.newton(&ends, &mut salp1, &mut calp1, slam12, clam12); + salp2 = lam.salp2; + calp2 = lam.calp2; + sig12 = lam.arc.sig12; + let l = self.lengths(&lam.arc, true); + m12x = l.m12b * self.b; + s12x = l.s12b * self.b; + big_m12 = l.big_m12; + big_m21 = l.big_m21; + a12 = sig12 / DEGREE; + // ω12 = λ12 − Δω12. + let (sdomg12, cdomg12) = lam.domg12.sin_cos(); + somg12 = slam12 * cdomg12 - clam12 * sdomg12; + comg12 = clam12 * cdomg12 + slam12 * sdomg12; + } + } + + // Convert −0 to 0. + let s12 = 0.0 + s12x; + let m12 = 0.0 + m12x; + + // Area, Karney 2013 §6. + let salp0 = salp1 * cbet1; + let calp0 = calp1.hypot(salp1 * sbet1); + let mut area_s12 = if calp0 != 0.0 && salp0 != 0.0 { + let (ssig1, csig1) = norm2(sbet1, calp1 * cbet1); + let (ssig2, csig2) = norm2(sbet2, calp2 * cbet2); + let k2 = sq(calp0) * self.ep2; + let eps = k2 / (2.0 * (1.0 + (1.0 + k2).sqrt()) + k2); + let a4 = sq(self.a) * calp0 * salp0 * self.e2; + let c4a = c4f(&self.c4x, eps); + let b41 = sin_cos_series(false, ssig1, csig1, &c4a, ORDER); + let b42 = sin_cos_series(false, ssig2, csig2, &c4a, ORDER); + a4 * (b42 - b41) + } else { + // σ1, σ2 are indeterminate on the equator. + 0.0 + }; + if !meridian && somg12 == 2.0 { + (somg12, comg12) = omg12.sin_cos(); + } + let alp12 = if !meridian && comg12 > AREA_MAX_COMG12 && sbet2 - sbet1 < AREA_MAX_DSBET { + // tan(Γ/2) = tan(ω12/2) (tan(β1/2) + tan(β2/2)) / (1 + tan(β1/2) tan(β2/2)). + let domg12 = 1.0 + comg12; + let dbet1 = 1.0 + cbet1; + let dbet2 = 1.0 + cbet2; + 2.0 * (somg12 * (sbet1 * dbet2 + sbet2 * dbet1)) + .atan2(domg12 * (sbet1 * sbet2 + dbet1 * dbet2)) + } else { + let mut salp12 = salp2 * calp1 - calp2 * salp1; + let mut calp12 = calp2 * calp1 + salp2 * salp1; + // Attach the sign to zero so α12 = ±180° comes out right. + if salp12 == 0.0 && calp12 < 0.0 { + salp12 = tiny * calp1; + calp12 = -1.0; + } + salp12.atan2(calp12) + }; + area_s12 += self.c2 * alp12; + area_s12 *= swapp * lonsign * latsign; + area_s12 += 0.0; + + // Undo the canonical transformation. + if swapp < 0.0 { + core::mem::swap(&mut salp1, &mut salp2); + core::mem::swap(&mut calp1, &mut calp2); + core::mem::swap(&mut big_m12, &mut big_m21); + } + salp1 *= swapp * lonsign; + calp1 *= swapp * latsign; + salp2 *= swapp * lonsign; + calp2 *= swapp * latsign; + + Raw { + a12, + s12, + salp1, + calp1, + salp2, + calp2, + m12, + big_m12, + big_m21, + area_s12, + } + } + + /// Solve λ12(α1) = λ12 by Newton's method with a bracketing fallback, + /// Karney 2013 §5. Returns the state of the final evaluation. + fn newton( + &self, + ends: &Ends, + salp1: &mut f64, + calp1: &mut f64, + slam12: f64, + clam12: f64, + ) -> Lambda { + let tiny = tiny(); + let (mut salp1a, mut calp1a, mut salp1b, mut calp1b) = (tiny, 1.0, tiny, -1.0); + let mut tripn = false; + let mut tripb = false; + let mut numit = 0u32; + loop { + let lam = self.lambda12(ends, *salp1, *calp1, slam12, clam12, numit < MAXIT1); + let v = lam.lam12; + let dv = lam.dlam12; + let tol = if tripn { TRIPN_TOL_FACTOR } else { 1.0 } * TOL0; + // The reversed comparison lets NaN escape. + if tripb || v.is_nan() || v.abs() < tol || numit == MAXIT2 { + return lam; + } + // Shrink the bracket. + if v > 0.0 && (numit > MAXIT1 || *calp1 / *salp1 > calp1b / salp1b) { + salp1b = *salp1; + calp1b = *calp1; + } else if v < 0.0 && (numit > MAXIT1 || *calp1 / *salp1 < calp1a / salp1a) { + salp1a = *salp1; + calp1a = *calp1; + } + numit += 1; + if numit - 1 < MAXIT1 && dv > 0.0 { + let dalp1 = -v / dv; + if dalp1.abs() < core::f64::consts::PI { + let (sdalp1, cdalp1) = dalp1.sin_cos(); + let nsalp1 = *salp1 * cdalp1 + *calp1 * sdalp1; + if nsalp1 > 0.0 { + let ncalp1 = *calp1 * cdalp1 - *salp1 * sdalp1; + (*salp1, *calp1) = norm2(nsalp1, ncalp1); + // Slope → 0 in some regimes: test against ε, not √ε. + tripn = v.abs() <= TRIPN_SET_FACTOR * TOL0; + continue; + } + } + } + // dv ≤ 0 or the step left (0, π): bisect the bracket. + (*salp1, *calp1) = norm2((salp1a + salp1b) / 2.0, (calp1a + calp1b) / 2.0); + tripn = false; + tripb = (salp1a - *salp1).abs() + (calp1a - *calp1) < TOLB + || (*salp1 - salp1b).abs() + (*calp1 - calp1b) < TOLB; + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + // Reference values: GeographicLib as bundled in PROJ 9.8.1, via pyproj + // 3.8.0 `Geod(ellps="WGS84").inv`. pyproj returns the back azimuth at + // point 2; the forward azimuth below is that value ± 180°. + + /// Distance tolerance against PROJ, 100 nm. GeographicLib's round-off + /// is about 15 nm. + const DIST_TOL_M: f64 = 1e-7; + + /// Azimuth tolerance against PROJ, degrees. + const ANGLE_TOL_DEG: f64 = 1e-11; + + /// Area tolerance against PROJ, m². + const AREA_TOL_M2: f64 = 1e-2; + + fn wgs84() -> Geodesic { + Geodesic::new(6_378_137.0, 1.0 / 298.257_223_563) + } + + /// (lat1, lon1, lat2, lon2, s12, azi1, azi2). + const INVERSE: &[[f64; 7]] = &[ + [ + 40.6, + -73.8, + 51.6, + -0.5, + 5_551_759.400_318_678_5, + 51.198_882_845_579_83, + 107.821_776_735_514_26, + ], + [ + 0.0, + 0.0, + 0.5, + 179.5, + 19_936_288.578_965_314, + 25.671_872_868_291_88, + 154.327_085_469_941_6, + ], + [ + -30.0, + 0.0, + 29.9, + 179.8, + 19_989_832.827_609_53, + 161.890_524_736_326_97, + 18.090_737_245_739_49, + ], + [ + 10.0, + 20.0, + 10.0, + 20.000_000_1, + 0.010_963_936_534_940_925, + 89.999_999_991_317_6, + 90.000_000_008_682_4, + ], + [0.0, 0.0, 0.0, 90.0, 10_018_754.171_394_622, 90.0, 90.0], + [-90.0, 0.0, 45.0, 30.0, 14_986_910.107_290_467, 30.0, 0.0], + [20.0, 5.0, -40.0, 5.0, 6_641_895.284_522_149, 180.0, 180.0], + [ + 0.0, + 0.0, + 0.0, + 179.9, + 20_003_008.421_509_41, + 9.545_672_694_738_908, + 170.454_327_305_261_1, + ], + [ + 52.0, + 24.0, + -33.9, + 151.2, + 15_388_185.664_646_542, + 85.262_458_179_209_96, + 132.269_847_457_975_7, + ], + ]; + + fn angle_close(got: f64, want: f64, tol: f64) -> bool { + let d = (got - want).rem_euclid(360.0); + d.min(360.0 - d) < tol + } + + #[test] + fn inverse_matches_geographiclib() { + let g = wgs84(); + for row in INVERSE { + let [lat1, lon1, lat2, lon2, s12, azi1, azi2] = *row; + let (s, a1, a2) = g.inverse(lat1, lon1, lat2, lon2); + assert!((s - s12).abs() < DIST_TOL_M, "{row:?}: s12 {s}"); + assert!(angle_close(a1, azi1, ANGLE_TOL_DEG), "{row:?}: azi1 {a1}"); + assert!(angle_close(a2, azi2, ANGLE_TOL_DEG), "{row:?}: azi2 {a2}"); + } + } + + #[test] + fn direct_inverts_inverse() { + let g = wgs84(); + for row in INVERSE { + let [lat1, lon1, lat2, lon2, ..] = *row; + let (s, a1, _) = g.inverse(lat1, lon1, lat2, lon2); + let (la, lo, _) = g.direct(lat1, lon1, a1, s); + assert!((la - lat2).abs() < 1e-9, "{row:?}: {la}"); + assert!( + lat2.abs() == 90.0 || angle_close(lo, lon2, 1e-9), + "{row:?}: {lo}" + ); + } + } + + /// Σ S12 around a ring, reduced modulo the ellipsoid area 4π c² and + /// negated to the counter-clockwise-positive sense, as GeographicLib + /// `geod_polygon_compute` does for a ring that crosses no meridian ±180°. + fn ring_area(g: &Geodesic, ring: &[[f64; 2]]) -> f64 { + let mut sum = 0.0; + for (i, p) in ring.iter().enumerate() { + let q = ring[(i + 1) % ring.len()]; + sum += g.inverse_full(p[0], p[1], q[0], q[1]).area_s12; + } + let total = 4.0 * core::f64::consts::PI * g.c2; + -(sum - (sum / total).round() * total) + } + + /// pyproj `polygon_area_perimeter` of the octant (0,0)–(90,0)–(0,90) + /// and of the 1° square at the origin, (lat, lon) vertices. + #[test] + fn area_matches_geographiclib() { + let g = wgs84(); + let octant = ring_area(&g, &[[0.0, 0.0], [90.0, 0.0], [0.0, 90.0]]); + assert!((octant - -63_758_202_715_511.055).abs() < 1.0, "{octant}"); + let square = ring_area(&g, &[[0.0, 0.0], [0.0, 1.0], [1.0, 1.0], [1.0, 0.0]]); + assert!( + (square - 12_308_778_361.469_452).abs() < AREA_TOL_M2, + "{square}" + ); + } + + #[test] + fn sphere_great_circle() { + let g = Geodesic::new(1.0, 0.0); + let (s, a1, a2) = g.inverse(0.0, 0.0, 0.0, 90.0); + assert!((s - core::f64::consts::FRAC_PI_2).abs() < 1e-15); + assert_eq!((a1, a2), (90.0, 90.0)); + } +} diff --git a/nodedb-crs/src/method/geodesic/line.rs b/nodedb-crs/src/method/geodesic/line.rs new file mode 100644 index 000000000..8e1c61682 --- /dev/null +++ b/nodedb-crs/src/method/geodesic/line.rs @@ -0,0 +1,405 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The direct geodesic problem: a geodesic line from a point and azimuth, +//! ported from GeographicLib's C library (PROJ 9.8.1 `src/geodesic.c`, +//! `geod_lineinit_int`, `geod_genposition`, `geod_direct`). + +use super::math::{DEGREE, ang_normalize, ang_round, atan2_d, lat_fix, norm2, sin_cos_d, sq}; +use super::model::{Geodesic, tiny}; +use super::series::{Coeffs, ORDER, a1m1f, a2m1f, a3f, c1f, c1pf, c2f, c3f, c4f, sin_cos_series}; + +/// |f| above which the reverted distance series takes one Newton step, +/// Karney 2013 §4. +const REVERTED_SERIES_MAX_F: f64 = 0.01; + +/// Every output of a direct or inverse geodesic solution. Angles in +/// degrees, lengths in the units of the semi-major axis, area in their +/// square. +#[derive(Debug, Clone, Copy, PartialEq)] +pub struct GeodesicSolution { + pub lat1: f64, + pub lon1: f64, + pub azi1: f64, + pub lat2: f64, + pub lon2: f64, + pub azi2: f64, + /// Distance s12. + pub s12: f64, + /// Arc length a12 on the auxiliary sphere, degrees. + pub a12: f64, + /// Reduced length m12. + pub m12: f64, + /// Geodesic scale of point 2 relative to point 1. + pub big_m12: f64, + /// Geodesic scale of point 1 relative to point 2. + pub big_m21: f64, + /// Area between the geodesic and the equator, S12. + pub area_s12: f64, +} + +/// A geodesic line starting at a point with a given azimuth. +#[derive(Debug, Clone, PartialEq)] +pub struct GeodesicLine { + lat1: f64, + lon1: f64, + azi1: f64, + a: f64, + f: f64, + b: f64, + c2: f64, + f1: f64, + salp1: f64, + calp1: f64, + dn1: f64, + salp0: f64, + calp0: f64, + ssig1: f64, + csig1: f64, + somg1: f64, + comg1: f64, + k2: f64, + a1m1: f64, + a2m1: f64, + a3c: f64, + b11: f64, + b21: f64, + b31: f64, + a4: f64, + b41: f64, + stau1: f64, + ctau1: f64, + c1a: Coeffs, + c1pa: Coeffs, + c2a: Coeffs, + c3a: Coeffs, + c4a: Coeffs, +} + +impl GeodesicLine { + /// The line from (`lat1`, `lon1`) with azimuth `azi1`, degrees. + pub fn new(g: &Geodesic, lat1: f64, lon1: f64, azi1: f64) -> Self { + let azi1 = ang_normalize(azi1); + // Rounding guards against underflow in salp0. + let (salp1, calp1) = sin_cos_d(ang_round(azi1)); + Self::with_sin_cos(g, lat1, lon1, azi1, salp1, calp1) + } + + /// The line from a point whose azimuth is given by its sine and cosine + /// as well, GeographicLib `geod_lineinit_int` with every capability. + pub(super) fn with_sin_cos( + g: &Geodesic, + lat1: f64, + lon1: f64, + azi1: f64, + salp1: f64, + calp1: f64, + ) -> Self { + let lat1 = lat_fix(lat1); + let (sbet1, cbet1) = sin_cos_d(ang_round(lat1)); + let (sbet1, cbet1) = norm2(sbet1 * g.f1, cbet1); + // cos β1 = +ε at the poles. + let cbet1 = cbet1.max(tiny()); + let dn1 = (1.0 + g.ep2 * sq(sbet1)).sqrt(); + // sin α0 = sin α1 cos β1, α0 in [0, π/2 − |β1|]. + let salp0 = salp1 * cbet1; + let calp0 = calp1.hypot(salp1 * sbet1); + // tan β1 = tan σ1 cos α1 and tan ω1 = sin α0 tan σ1. + let somg1 = salp0 * sbet1; + let c = if sbet1 != 0.0 || calp1 != 0.0 { + cbet1 * calp1 + } else { + 1.0 + }; + let (ssig1, csig1) = norm2(sbet1, c); + let comg1 = c; + let k2 = sq(calp0) * g.ep2; + let eps = k2 / (2.0 * (1.0 + (1.0 + k2).sqrt()) + k2); + + let a1m1 = a1m1f(eps); + let c1a = c1f(eps); + let b11 = sin_cos_series(true, ssig1, csig1, &c1a, ORDER); + let (s, c) = b11.sin_cos(); + // τ1 = σ1 + B11. + let stau1 = ssig1 * c + csig1 * s; + let ctau1 = csig1 * c - ssig1 * s; + let c1pa = c1pf(eps); + let a2m1 = a2m1f(eps); + let c2a = c2f(eps); + let b21 = sin_cos_series(true, ssig1, csig1, &c2a, ORDER); + let c3a = c3f(&g.c3x, eps); + let a3c = -g.f * salp0 * a3f(&g.a3x, eps); + let b31 = sin_cos_series(true, ssig1, csig1, &c3a, ORDER - 1); + let c4a = c4f(&g.c4x, eps); + // a² e² cos α0 sin α0. + let a4 = sq(g.a) * calp0 * salp0 * g.e2; + let b41 = sin_cos_series(false, ssig1, csig1, &c4a, ORDER); + Self { + lat1, + lon1, + azi1, + a: g.a, + f: g.f, + b: g.b, + c2: g.c2, + f1: g.f1, + salp1, + calp1, + dn1, + salp0, + calp0, + ssig1, + csig1, + somg1, + comg1, + k2, + a1m1, + a2m1, + a3c, + b11, + b21, + b31, + a4, + b41, + stau1, + ctau1, + c1a, + c1pa, + c2a, + c3a, + c4a, + } + } + + /// The point at distance `s12` along the line. Longitude reduces to + /// [−180°, 180°]. + pub fn position(&self, s12: f64) -> GeodesicSolution { + self.gen_position(false, s12, false) + } + + /// The point at `s12_a12` along the line: a distance, or an arc length + /// in degrees when `arc_mode`. With `unroll`, the longitude counts + /// whole turns instead of reducing to [−180°, 180°]. + pub fn gen_position(&self, arc_mode: bool, s12_a12: f64, unroll: bool) -> GeodesicSolution { + let mut b12 = 0.0; + let (mut sig12, mut ssig12, mut csig12); + if arc_mode { + sig12 = s12_a12 * DEGREE; + (ssig12, csig12) = sin_cos_d(s12_a12); + } else { + let tau12 = s12_a12 / (self.b * (1.0 + self.a1m1)); + let (s, c) = tau12.sin_cos(); + // τ2 = τ1 + τ12. + b12 = -sin_cos_series( + true, + self.stau1 * c + self.ctau1 * s, + self.ctau1 * c - self.stau1 * s, + &self.c1pa, + ORDER, + ); + sig12 = tau12 - (b12 - self.b11); + (ssig12, csig12) = sig12.sin_cos(); + if self.f.abs() > REVERTED_SERIES_MAX_F { + let ssig2 = self.ssig1 * csig12 + self.csig1 * ssig12; + let csig2 = self.csig1 * csig12 - self.ssig1 * ssig12; + b12 = sin_cos_series(true, ssig2, csig2, &self.c1a, ORDER); + let serr = (1.0 + self.a1m1) * (sig12 + (b12 - self.b11)) - s12_a12 / self.b; + sig12 -= serr / (1.0 + self.k2 * sq(ssig2)).sqrt(); + (ssig12, csig12) = sig12.sin_cos(); + } + } + + // σ2 = σ1 + σ12. + let ssig2 = self.ssig1 * csig12 + self.csig1 * ssig12; + let mut csig2 = self.csig1 * csig12 - self.ssig1 * ssig12; + let dn2 = (1.0 + self.k2 * sq(ssig2)).sqrt(); + if arc_mode || self.f.abs() > REVERTED_SERIES_MAX_F { + b12 = sin_cos_series(true, ssig2, csig2, &self.c1a, ORDER); + } + let ab1 = (1.0 + self.a1m1) * (b12 - self.b11); + // sin β2 = cos α0 sin σ2. + let sbet2 = self.calp0 * ssig2; + let mut cbet2 = self.salp0.hypot(self.calp0 * csig2); + if cbet2 == 0.0 { + // sin α0 = 0 and cos σ2 = 0: break the degeneracy. + cbet2 = tiny(); + csig2 = tiny(); + } + // tan α0 = cos σ2 tan α2. + let salp2 = self.salp0; + let calp2 = self.calp0 * csig2; + + let s12 = if arc_mode { + self.b * ((1.0 + self.a1m1) * sig12 + ab1) + } else { + s12_a12 + }; + + let e = 1.0f64.copysign(self.salp0); + // tan ω2 = sin α0 tan σ2. + let somg2 = self.salp0 * ssig2; + let comg2 = csig2; + let omg12 = if unroll { + e * (sig12 - (ssig2.atan2(csig2) - self.ssig1.atan2(self.csig1)) + + ((e * somg2).atan2(comg2) - (e * self.somg1).atan2(self.comg1))) + } else { + (somg2 * self.comg1 - comg2 * self.somg1).atan2(comg2 * self.comg1 + somg2 * self.somg1) + }; + let lam12 = omg12 + + self.a3c + * (sig12 + (sin_cos_series(true, ssig2, csig2, &self.c3a, ORDER - 1) - self.b31)); + let lon12 = lam12 / DEGREE; + let lon2 = if unroll { + self.lon1 + lon12 + } else { + ang_normalize(ang_normalize(self.lon1) + ang_normalize(lon12)) + }; + let lat2 = atan2_d(sbet2, self.f1 * cbet2); + let azi2 = atan2_d(salp2, calp2); + + let b22 = sin_cos_series(true, ssig2, csig2, &self.c2a, ORDER); + let ab2 = (1.0 + self.a2m1) * (b22 - self.b21); + let j12 = (self.a1m1 - self.a2m1) * sig12 + (ab1 - ab2); + // Parenthesised products keep the cancellation exact for + // coincident points. + let m12 = self.b + * ((dn2 * (self.csig1 * ssig2) - self.dn1 * (self.ssig1 * csig2)) + - self.csig1 * csig2 * j12); + let t = self.k2 * (ssig2 - self.ssig1) * (ssig2 + self.ssig1) / (self.dn1 + dn2); + let big_m12 = csig12 + (t * ssig2 - csig2 * j12) * self.ssig1 / self.dn1; + let big_m21 = csig12 - (t * self.ssig1 - self.csig1 * j12) * ssig2 / dn2; + + let b42 = sin_cos_series(false, ssig2, csig2, &self.c4a, ORDER); + let (salp12, calp12) = if self.calp0 == 0.0 || self.salp0 == 0.0 { + // α12 = α2 − α1, used in atan2 so no need to normalise. + ( + salp2 * self.calp1 - calp2 * self.salp1, + calp2 * self.calp1 + salp2 * self.salp1, + ) + } else { + // tan(α2 − α1) from tan α = tan α0 sec σ, Karney 2013 eq. 65. + let num = if csig12 <= 0.0 { + self.csig1 * (1.0 - csig12) + ssig12 * self.ssig1 + } else { + ssig12 * (self.csig1 * ssig12 / (1.0 + csig12) + self.ssig1) + }; + ( + self.calp0 * self.salp0 * num, + sq(self.salp0) + sq(self.calp0) * self.csig1 * csig2, + ) + }; + let area_s12 = self.c2 * salp12.atan2(calp12) + self.a4 * (b42 - self.b41); + + GeodesicSolution { + lat1: self.lat1, + lon1: self.lon1, + azi1: self.azi1, + lat2, + lon2, + azi2, + s12, + a12: if arc_mode { s12_a12 } else { sig12 / DEGREE }, + m12, + big_m12, + big_m21, + area_s12, + } + } + + /// Semi-major axis of the line's ellipsoid. + pub fn a(&self) -> f64 { + self.a + } +} + +impl Geodesic { + /// Solve the direct problem: from (`lat1`, `lon1`) along azimuth `azi1` + /// for distance `s12`, return (lat2, lon2, azi2). Degrees and the units + /// of the semi-major axis. + pub fn direct(&self, lat1: f64, lon1: f64, azi1: f64, s12: f64) -> (f64, f64, f64) { + let sol = self.direct_full(lat1, lon1, azi1, s12); + (sol.lat2, sol.lon2, sol.azi2) + } + + /// Solve the direct problem with every output. + pub fn direct_full(&self, lat1: f64, lon1: f64, azi1: f64, s12: f64) -> GeodesicSolution { + GeodesicLine::new(self, lat1, lon1, azi1).position(s12) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// Latitude, longitude and azimuth tolerance against PROJ, degrees. + const ANGLE_TOL_DEG: f64 = 1e-11; + + /// (lat1, lon1, azi1, s12, lat2, lon2, azi2) from GeographicLib as + /// bundled in PROJ 9.8.1, via pyproj 3.8.0 `Geod(ellps="WGS84").fwd`. + const DIRECT: &[[f64; 7]] = &[ + [ + 40.6, + -73.8, + 51.4, + 5_000_000.0, + 52.724_376_645_671_35, + -8.361_446_565_212_93, + 101.745_597_701_112_46, + ], + [ + -30.0, + 0.0, + 179.0, + 19_000_000.0, + 20.939_069_684_509_27, + 179.823_126_134_612_55, + 0.927_634_299_928_172_4, + ], + [ + 89.0, + 10.0, + -120.0, + 500_000.0, + 84.948_710_822_340_83, + -40.149_256_704_217_166, + -170.115_400_931_919_4, + ], + [ + 0.0, + 0.0, + 90.0, + 20_000_000.0, + 0.0, + 179.663_056_823_904_3, + 90.0, + ], + ]; + + fn angle_close(got: f64, want: f64) -> bool { + let d = (got - want).rem_euclid(360.0); + d.min(360.0 - d) < ANGLE_TOL_DEG + } + + #[test] + fn direct_matches_geographiclib() { + let g = Geodesic::new(6_378_137.0, 1.0 / 298.257_223_563); + for row in DIRECT { + let [lat1, lon1, azi1, s12, lat2, lon2, azi2] = *row; + let (la, lo, az) = g.direct(lat1, lon1, azi1, s12); + assert!((la - lat2).abs() < ANGLE_TOL_DEG, "{row:?}: lat2 {la}"); + assert!(angle_close(lo, lon2), "{row:?}: lon2 {lo}"); + assert!(angle_close(az, azi2), "{row:?}: azi2 {az}"); + } + } + + #[test] + fn arc_mode_and_unroll() { + let g = Geodesic::new(1.0, 0.0); + let line = GeodesicLine::new(&g, 0.0, 170.0, 90.0); + let p = line.gen_position(true, 30.0, true); + assert!((p.lon2 - 200.0).abs() < 1e-12 && (p.s12 - 30f64.to_radians()).abs() < 1e-15); + let p = line.gen_position(true, 30.0, false); + assert!((p.lon2 + 160.0).abs() < 1e-12); + let (lat, lon, _) = g.direct(0.0, 0.0, 0.0, core::f64::consts::FRAC_PI_4); + assert!((lat - 45.0).abs() < 1e-12 && lon == 0.0); + } +} diff --git a/nodedb-crs/src/method/geodesic/math.rs b/nodedb-crs/src/method/geodesic/math.rs new file mode 100644 index 000000000..88ac6934a --- /dev/null +++ b/nodedb-crs/src/method/geodesic/math.rs @@ -0,0 +1,211 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Angle and summation helpers for the geodesic solver, ported from +//! GeographicLib's C library (PROJ 9.8.1 `src/geodesic.c`). +//! +//! Angles in degrees reduce exactly to [−45°, 45°] before conversion to +//! radians, so sin 30° and similar values come out exact. + +/// A quarter turn in degrees. +pub(super) const QD: f64 = 90.0; + +/// A half turn in degrees. +pub(super) const HD: f64 = 180.0; + +/// A full turn in degrees. +pub(super) const TD: f64 = 360.0; + +/// Radians per degree. +pub(super) const DEGREE: f64 = core::f64::consts::PI / HD; + +/// Angles below this many degrees round to it in [`ang_round`]. +const ANG_ROUND_Z: f64 = 1.0 / 16.0; + +/// x². +pub(super) fn sq(x: f64) -> f64 { + x * x +} + +/// Error-free sum: returns (s, t) with s = round(u + v) and u + v = s + t. +pub(super) fn sum_x(u: f64, v: f64) -> (f64, f64) { + let s = u + v; + let mut up = s - v; + let mut vpp = s - up; + up -= u; + vpp -= v; + let t = if s != 0.0 { 0.0 - (up + vpp) } else { s }; + (s, t) +} + +/// Σ p[i] x^(N−i) by Horner's method, highest power first, as +/// GeographicLib `polyvalx`. +pub(super) fn polyval(p: &[f64], x: f64) -> f64 { + match p.split_first() { + None => 0.0, + Some((first, rest)) => rest.iter().fold(*first, |y, c| y * x + c), + } +} + +/// Scale (sin x, cos x) to unit length. +pub(super) fn norm2(sinx: f64, cosx: f64) -> (f64, f64) { + let r = sinx.hypot(cosx); + (sinx / r, cosx / r) +} + +/// IEEE remainder of `x` by a positive `y`, with the two low bits of the +/// rounded quotient as C `remquo` returns them, reduced into 0..4. +/// +/// Every step is exact: `%` is exact, and each subtraction pairs values +/// within a factor of two of each other. +pub(super) fn remquo(x: f64, y: f64) -> (f64, u32) { + let mut m = x.abs() % (4.0 * y); + let mut k = 0u32; + if m >= 2.0 * y { + m -= 2.0 * y; + k = 2; + } + if m >= y { + m -= y; + k += 1; + } + // Round the quotient to nearest, ties to even. + if m > y / 2.0 || (m == y / 2.0 && k % 2 == 1) { + m -= y; + k += 1; + } + k %= 4; + if x.is_sign_negative() { + (-m, (4 - k) % 4) + } else { + (m, k) + } +} + +/// IEEE remainder of `x` by a positive `y`. +pub(super) fn remainder(x: f64, y: f64) -> f64 { + remquo(x, y).0 +} + +/// Reduce an angle to [−180°, 180°], keeping the sign of ±180°. +pub(super) fn ang_normalize(x: f64) -> f64 { + let y = remainder(x, TD); + if y.abs() == HD { HD.copysign(x) } else { y } +} + +/// NaN for a latitude beyond ±90°. +pub(super) fn lat_fix(x: f64) -> f64 { + if x.abs() > QD { f64::NAN } else { x } +} + +/// y − x reduced to [−180°, 180°], with its rounding error. +pub(super) fn ang_diff(x: f64, y: f64) -> (f64, f64) { + let (d, t) = sum_x(remainder(-x, TD), remainder(y, TD)); + let (mut d, t) = sum_x(remainder(d, TD), t); + if d == 0.0 || d.abs() == HD { + d = d.copysign(if t == 0.0 { y - x } else { -t }); + } + (d, t) +} + +/// Round tiny angles to multiples of 1/16 · 2⁻⁵³ so an angle of +/// −1e−300 behaves as −0. +pub(super) fn ang_round(x: f64) -> f64 { + let y = x.abs(); + let w = ANG_ROUND_Z - y; + let y = if w > 0.0 { ANG_ROUND_Z - w } else { y }; + y.copysign(x) +} + +/// Map a reduced angle r in radians with quadrant q to (sin, cos). +fn quadrant_sin_cos(r: f64, q: u32) -> (f64, f64) { + let (s, c) = r.sin_cos(); + match q { + 0 => (s, c), + 1 => (c, -s), + 2 => (-s, -c), + _ => (-c, s), + } +} + +/// Fix the signs of zero results as C99 F.10.1.12–13 specifies. +fn signed_zero(sinx: f64, cosx: f64, x: f64) -> (f64, f64) { + let cosx = cosx + 0.0; + let sinx = if sinx == 0.0 { sinx.copysign(x) } else { sinx }; + (sinx, cosx) +} + +/// sin and cos of `x` degrees. +pub(super) fn sin_cos_d(x: f64) -> (f64, f64) { + let (r, q) = remquo(x, QD); + let (s, c) = quadrant_sin_cos(r * DEGREE, q); + signed_zero(s, c, x) +} + +/// sin and cos of `x + t` degrees, where `t` is a small correction. +pub(super) fn sin_cos_de(x: f64, t: f64) -> (f64, f64) { + let (r, q) = remquo(x, QD); + let (s, c) = quadrant_sin_cos(ang_round(r + t) * DEGREE, q); + signed_zero(s, c, x) +} + +/// atan2(y, x) in degrees, computed in the octant [−45°, 45°] first. +pub(super) fn atan2_d(y: f64, x: f64) -> f64 { + let (mut x, mut y) = (x, y); + let mut q = 0; + if y.abs() > x.abs() { + core::mem::swap(&mut x, &mut y); + q = 2; + } + if x.is_sign_negative() { + x = -x; + q += 1; + } + let ang = y.atan2(x) / DEGREE; + match q { + 1 => HD.copysign(y) - ang, + 2 => QD - ang, + 3 => -QD + ang, + _ => ang, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn remquo_matches_c() { + assert_eq!(remquo(135.0, 90.0), (-45.0, 2)); + assert_eq!(remquo(45.0, 90.0), (45.0, 0)); + assert_eq!(remquo(-135.0, 90.0), (45.0, 2)); + assert_eq!(remquo(100.0, 90.0), (10.0, 1)); + assert_eq!(remquo(-100.0, 90.0), (-10.0, 3)); + assert_eq!(remquo(-0.0, 90.0).0.to_bits(), (-0.0f64).to_bits()); + assert_eq!(remainder(540.0, 360.0), -180.0); + assert_eq!(remainder(-540.0, 360.0), 180.0); + assert_eq!(remainder(190.0, 360.0), -170.0); + } + + #[test] + fn exact_special_angles() { + assert_eq!(sin_cos_d(30.0).0, (30.0 * DEGREE).sin()); + assert_eq!( + sin_cos_d(120.0), + ((30.0 * DEGREE).cos(), -(30.0 * DEGREE).sin()) + ); + assert_eq!(sin_cos_d(90.0), (1.0, 0.0)); + assert_eq!(sin_cos_d(-180.0).1, -1.0); + assert_eq!(atan2_d(1.0, 1.0), 45.0); + assert_eq!(atan2_d(0.0, -1.0), 180.0); + assert_eq!(atan2_d(-0.0, -1.0), -180.0); + assert_eq!(ang_normalize(-180.0), -180.0); + assert_eq!(ang_normalize(540.0), 180.0); + } + + #[test] + fn ang_diff_is_exact_near_half_turn() { + assert_eq!(ang_diff(0.0, 180.0).0, 180.0); + assert_eq!(ang_diff(10.0, -170.0).0, -180.0); + assert_eq!(ang_diff(-170.0, 170.0).0, -20.0); + } +} diff --git a/nodedb-crs/src/method/geodesic/mod.rs b/nodedb-crs/src/method/geodesic/mod.rs new file mode 100644 index 000000000..bb6b4d87f --- /dev/null +++ b/nodedb-crs/src/method/geodesic/mod.rs @@ -0,0 +1,19 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geodesics on an ellipsoid of revolution: the direct and inverse +//! problems by C. F. F. Karney, "Algorithms for geodesics", J. Geodesy 87 +//! (2013), ported from GeographicLib's C library as bundled in PROJ 9.8.1 +//! (`src/geodesic.c`). Accurate to about 15 nm for |f| ≤ 1/50. + +pub mod line; +pub mod model; +pub mod polygon; + +mod inverse; +mod math; +mod series; +mod start; + +pub use line::{GeodesicLine, GeodesicSolution}; +pub use model::Geodesic; +pub use polygon::PolygonMeasure; diff --git a/nodedb-crs/src/method/geodesic/model.rs b/nodedb-crs/src/method/geodesic/model.rs new file mode 100644 index 000000000..ffb172fba --- /dev/null +++ b/nodedb-crs/src/method/geodesic/model.rs @@ -0,0 +1,219 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The geodesic model of one ellipsoid and the shared length integrals, +//! ported from GeographicLib's C library (PROJ 9.8.1 `src/geodesic.c`, +//! `geod_init` and `Lengths`). + +use super::math::sq; +use super::series::{ + Coeffs, NC3X, NC4X, ORDER, a1m1f, a2m1f, a3_coeff, c1f, c2f, c3_coeff, c4_coeff, sin_cos_series, +}; + +/// Newton iterations before the inverse solver falls back to bisection. +pub(super) const MAXIT1: u32 = 20; + +/// Total iteration cap of the inverse solver: MAXIT1 + mantissa digits + 10. +pub(super) const MAXIT2: u32 = MAXIT1 + f64::MANTISSA_DIGITS + 10; + +/// √(smallest normal f64), keeps cos β above zero at the poles. +pub(super) fn tiny() -> f64 { + f64::MIN_POSITIVE.sqrt() +} + +/// Machine epsilon, GeographicLib `tol0`. +pub(super) const TOL0: f64 = f64::EPSILON; + +/// GeographicLib `tol1` = 200 · tol0. +pub(super) const TOL1: f64 = 200.0 * TOL0; + +/// GeographicLib `tol2` = √tol0. +pub(super) fn tol2() -> f64 { + TOL0.sqrt() +} + +/// Bisection interval check, GeographicLib `tolb`. +pub(super) const TOLB: f64 = TOL0; + +/// GeographicLib `xthresh` = 1000 · tol2. +pub(super) fn xthresh() -> f64 { + 1000.0 * tol2() +} + +/// Safety factor in the "really short line" threshold `etol2`. +const ETOL2_SAFETY: f64 = 0.1; + +/// Floor on |f| in `etol2`, keeps it bounded for near-spheres. +const ETOL2_MIN_F: f64 = 0.001; + +/// An ellipsoid prepared for geodesic calculations (Karney 2013). +#[derive(Debug, Clone, PartialEq)] +pub struct Geodesic { + /// Semi-major axis. + pub(super) a: f64, + /// Flattening. + pub(super) f: f64, + /// 1 − f. + pub(super) f1: f64, + /// e². + pub(super) e2: f64, + /// e′² = e² / (1 − e²). + pub(super) ep2: f64, + /// Third flattening. + pub(super) n: f64, + /// Semi-minor axis. + pub(super) b: f64, + /// Authalic radius squared. + pub(super) c2: f64, + /// σ12 threshold for "really short" lines. + pub(super) etol2: f64, + pub(super) a3x: [f64; ORDER], + pub(super) c3x: [f64; NC3X], + pub(super) c4x: [f64; NC4X], +} + +/// The distance and reduced-length integrals of [`Geodesic::lengths`]. +#[derive(Debug, Clone, Copy, Default)] +pub(super) struct Lengths { + /// s12 / b. + pub(super) s12b: f64, + /// m12 / b. + pub(super) m12b: f64, + /// Secular coefficient of the reduced length. + pub(super) m0: f64, + /// Geodesic scale M12. + pub(super) big_m12: f64, + /// Geodesic scale M21. + pub(super) big_m21: f64, +} + +/// The auxiliary-sphere state that [`Geodesic::lengths`] integrates over. +#[derive(Debug, Clone, Copy)] +pub(super) struct Arc { + pub(super) eps: f64, + pub(super) sig12: f64, + pub(super) ssig1: f64, + pub(super) csig1: f64, + pub(super) dn1: f64, + pub(super) ssig2: f64, + pub(super) csig2: f64, + pub(super) dn2: f64, + pub(super) cbet1: f64, + pub(super) cbet2: f64, +} + +impl Geodesic { + /// The geodesic model of the ellipsoid with semi-major axis `a` and + /// flattening `f` (0 for a sphere, negative for a prolate spheroid). + pub fn new(a: f64, f: f64) -> Self { + let f1 = 1.0 - f; + let e2 = f * (2.0 - f); + let ep2 = e2 / sq(f1); + let n = f / (2.0 - f); + let b = a * f1; + let c2 = (sq(a) + + sq(b) + * if e2 == 0.0 { + 1.0 + } else { + (if e2 > 0.0 { + e2.sqrt().atanh() + } else { + (-e2).sqrt().atan() + }) / e2.abs().sqrt() + }) + / 2.0; + let etol2 = ETOL2_SAFETY * tol2() + / (f.abs().max(ETOL2_MIN_F) * (1.0 - f / 2.0).min(1.0) / 2.0).sqrt(); + Self { + a, + f, + f1, + e2, + ep2, + n, + b, + c2, + etol2, + a3x: a3_coeff(n), + c3x: c3_coeff(n), + c4x: c4_coeff(n), + } + } + + /// Semi-major axis. + pub fn a(&self) -> f64 { + self.a + } + + /// Flattening. + pub fn f(&self) -> f64 { + self.f + } + + /// Distance s12/b, reduced length m12/b, m0 and the geodesic scales + /// along an arc, GeographicLib `Lengths`. Without `with_distance`, + /// `s12b` stays 0 and J12 comes from the combined C1/C2 series, as + /// GeographicLib does when the distance is not requested. + pub(super) fn lengths(&self, arc: &Arc, with_distance: bool) -> Lengths { + let Arc { + eps, + sig12, + ssig1, + csig1, + dn1, + ssig2, + csig2, + dn2, + cbet1, + cbet2, + } = *arc; + let ca: Coeffs = c1f(eps); + let mut cb: Coeffs = c2f(eps); + let a1m1 = a1m1f(eps); + let a2m1 = a2m1f(eps); + let m0 = a1m1 - a2m1; + let a1 = 1.0 + a1m1; + let a2 = 1.0 + a2m1; + let (s12b, j12) = if with_distance { + let b1 = sin_cos_series(true, ssig2, csig2, &ca, ORDER) + - sin_cos_series(true, ssig1, csig1, &ca, ORDER); + let b2 = sin_cos_series(true, ssig2, csig2, &cb, ORDER) + - sin_cos_series(true, ssig1, csig1, &cb, ORDER); + (a1 * (sig12 + b1), m0 * sig12 + (a1 * b1 - a2 * b2)) + } else { + for (c, a) in cb.iter_mut().zip(ca.iter()).skip(1) { + *c = a1 * a - a2 * *c; + } + let j12 = m0 * sig12 + + (sin_cos_series(true, ssig2, csig2, &cb, ORDER) + - sin_cos_series(true, ssig1, csig1, &cb, ORDER)); + (0.0, j12) + }; + // Parenthesised products keep the cancellation exact for + // coincident points. + let m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - csig1 * csig2 * j12; + let csig12 = csig1 * csig2 + ssig1 * ssig2; + let t = self.ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); + Lengths { + s12b, + m12b, + m0, + big_m12: csig12 + (t * ssig2 - csig2 * j12) * ssig1 / dn1, + big_m21: csig12 - (t * ssig1 - csig1 * j12) * ssig2 / dn2, + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn wgs84_constants() { + let g = Geodesic::new(6_378_137.0, 1.0 / 298.257_223_563); + assert!((g.b - 6_356_752.314_245).abs() < 1e-6); + // Authalic radius of WGS 84, 6 371 007.181 m. + assert!((g.c2.sqrt() - 6_371_007.180_9).abs() < 1e-3); + assert_eq!(MAXIT2, 83); + } +} diff --git a/nodedb-crs/src/method/geodesic/polygon.rs b/nodedb-crs/src/method/geodesic/polygon.rs new file mode 100644 index 000000000..baa2de34a --- /dev/null +++ b/nodedb-crs/src/method/geodesic/polygon.rs @@ -0,0 +1,177 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Area and perimeter of a geodesic polygon, ported from GeographicLib's C +//! library (PROJ 9.8.1 `src/geodesic.c`, `geod_polygon_*`, `transit`, +//! `areareduceA`). Each edge is a geodesic. The area is exact to the +//! precision of the inverse solution for polygons of any size. + +use super::math::{ang_diff, ang_normalize, remainder, sum_x}; +use super::model::Geodesic; + +/// A sum carried with its rounding error (GeographicLib `accadd`). +#[derive(Debug, Clone, Copy, Default)] +struct Accumulator { + s: f64, + t: f64, +} + +impl Accumulator { + fn add(&mut self, y: f64) { + let (z, u) = sum_x(y, self.t); + let (s, t) = sum_x(z, self.s); + self.s = s; + self.t = t; + if self.s == 0.0 { + self.s = u; + } else { + self.t += u; + } + } + + fn remainder(&mut self, y: f64) { + self.s = remainder(self.s, y); + self.add(0.0); + } + + fn negate(&mut self) { + self.s = -self.s; + self.t = -self.t; + } + + fn value(&self) -> f64 { + self.s + self.t + } +} + +/// 1 or −1 when the edge from `lon1` to `lon2` crosses the prime meridian +/// eastward or westward, else 0. +fn transit(lon1: f64, lon2: f64) -> i32 { + let (lon12, _) = ang_diff(lon1, lon2); + let lon1 = ang_normalize(lon1); + let lon2 = ang_normalize(lon2); + if lon12 > 0.0 && ((lon1 < 0.0 && lon2 >= 0.0) || (lon1 > 0.0 && lon2 == 0.0)) { + 1 + } else if lon12 < 0.0 && lon1 >= 0.0 && lon2 < 0.0 { + -1 + } else { + 0 + } +} + +/// The area and perimeter of a closed geodesic polygon. +#[derive(Debug, Clone, Copy, PartialEq)] +pub struct PolygonMeasure { + /// Signed area in the square of the semi-major axis units, positive + /// for counter-clockwise traversal, in (−area0/2, area0/2]. + pub area: f64, + /// Perimeter in the units of the semi-major axis. + pub perimeter: f64, +} + +impl Geodesic { + /// Total area of the ellipsoid, 4π c². + pub fn ellipsoid_area(&self) -> f64 { + 4.0 * core::f64::consts::PI * self.c2 + } + + /// Area and perimeter of the polygon through `vertices` (latitude, + /// longitude degrees), closed back to the first vertex. A repeated + /// closing vertex adds a zero-length edge and changes nothing. Fewer + /// than three distinct vertices give zero area. + pub fn polygon_measure(&self, vertices: &[(f64, f64)]) -> PolygonMeasure { + if vertices.len() < 2 { + return PolygonMeasure { + area: 0.0, + perimeter: 0.0, + }; + } + let mut perimeter = Accumulator::default(); + let mut area = Accumulator::default(); + let mut crossings = 0i32; + let n = vertices.len(); + for i in 0..n { + let (lat1, lon1) = vertices[i]; + let (lat2, lon2) = vertices[(i + 1) % n]; + let sol = self.inverse_full(lat1, lon1, lat2, lon2); + perimeter.add(sol.s12); + area.add(sol.area_s12); + crossings += transit(lon1, lon2); + } + let area0 = self.ellipsoid_area(); + area.remainder(area0); + if crossings & 1 != 0 { + area.add(if area.s < 0.0 { 1.0 } else { -1.0 } * area0 / 2.0); + } + // The sum runs clockwise-positive. Report counter-clockwise + // positive, then centre the value on zero. + area.negate(); + if area.s > area0 / 2.0 { + area.add(-area0); + } else if area.s <= -area0 / 2.0 { + area.add(area0); + } + PolygonMeasure { + area: area.value(), + perimeter: perimeter.value(), + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const WGS84_A: f64 = 6_378_137.0; + const WGS84_F: f64 = 1.0 / 298.257_223_563; + + fn wgs84() -> Geodesic { + Geodesic::new(WGS84_A, WGS84_F) + } + + /// GeographicLib Planimeter reference: the polygon (0,0) (0,1) (1,1) + /// (1,0) degrees on WGS 84 has area 12308778361.469 m² and perimeter + /// 443770.917248 m. + #[test] + fn one_degree_square_matches_planimeter() { + let g = wgs84(); + let m = g.polygon_measure(&[(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0)]); + assert!( + (m.area.abs() - 12_308_778_361.469).abs() < 1.0, + "{}", + m.area + ); + assert!( + (m.perimeter - 443_770.917_248).abs() < 1e-3, + "{}", + m.perimeter + ); + } + + /// Reversing the traversal flips the sign only. + #[test] + fn orientation_sets_the_sign() { + let g = wgs84(); + let ccw = [(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0)]; + let mut cw = ccw; + cw.reverse(); + let a = g.polygon_measure(&ccw).area; + let b = g.polygon_measure(&cw).area; + assert!((a + b).abs() < 1e-3, "{a} {b}"); + } + + /// A polygon across the antimeridian measures its true extent. + #[test] + fn antimeridian_polygon() { + let g = wgs84(); + let across = g.polygon_measure(&[(0.0, 179.5), (0.0, -179.5), (1.0, -179.5), (1.0, 179.5)]); + let plain = g.polygon_measure(&[(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0)]); + assert!((across.area.abs() - plain.area.abs()).abs() < 1.0); + } + + #[test] + fn transit_detects_prime_meridian_crossings() { + assert_eq!(transit(-1.0, 1.0), 1); + assert_eq!(transit(1.0, -1.0), -1); + assert_eq!(transit(10.0, 20.0), 0); + } +} diff --git a/nodedb-crs/src/method/geodesic/series.rs b/nodedb-crs/src/method/geodesic/series.rs new file mode 100644 index 000000000..1f40cc50f --- /dev/null +++ b/nodedb-crs/src/method/geodesic/series.rs @@ -0,0 +1,255 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Series coefficients of the geodesic integrals to order 6, ported from +//! GeographicLib's C library (PROJ 9.8.1 `src/geodesic.c`). +//! +//! C. F. F. Karney, "Algorithms for geodesics", J. Geodesy 87 (2013): +//! A1, C1 (eqs. 17–18), C1′ (eq. 21), A2, C2 (eqs. 42–43), A3, C3 +//! (eqs. 24–25) and C4 (eq. 64). Each table stores a polynomial's +//! coefficients, highest power first, followed by its common denominator. + +use super::math::{polyval, sq}; + +/// Series order, GeographicLib `GEOGRAPHICLIB_GEODESIC_ORDER`. +pub(super) const ORDER: usize = 6; + +/// Length of a Fourier coefficient array, index 0 to [`ORDER`]. +pub(super) const NC: usize = ORDER + 1; + +/// Number of stored C3 coefficients, nC3 (nC3 − 1) / 2. +pub(super) const NC3X: usize = ORDER * (ORDER - 1) / 2; + +/// Number of stored C4 coefficients, nC4 (nC4 + 1) / 2. +pub(super) const NC4X: usize = ORDER * (ORDER + 1) / 2; + +/// A Fourier coefficient array. Index 0 is unused by the sine series. +pub(super) type Coeffs = [f64; NC]; + +/// (1 − ε) A1 − 1 as a polynomial in ε². +const A1M1_COEFF: [f64; 5] = [1.0, 4.0, 64.0, 0.0, 256.0]; + +/// C1[l] / ε^l as polynomials in ε². +const C1_COEFF: [f64; 18] = [ + -1.0, 6.0, -16.0, 32.0, -9.0, 64.0, -128.0, 2048.0, 9.0, -16.0, 768.0, 3.0, -5.0, 512.0, -7.0, + 1280.0, -7.0, 2048.0, +]; + +/// C1′[l] / ε^l as polynomials in ε². +const C1P_COEFF: [f64; 18] = [ + 205.0, -432.0, 768.0, 1536.0, 4005.0, -4736.0, 3840.0, 12288.0, -225.0, 116.0, 384.0, -7173.0, + 2695.0, 7680.0, 3467.0, 7680.0, 38081.0, 61440.0, +]; + +/// (1 + ε) A2 − 1 as a polynomial in ε². +const A2M1_COEFF: [f64; 5] = [-11.0, -28.0, -192.0, 0.0, 256.0]; + +/// C2[l] / ε^l as polynomials in ε². +const C2_COEFF: [f64; 18] = [ + 1.0, 2.0, 16.0, 32.0, 35.0, 64.0, 384.0, 2048.0, 15.0, 80.0, 768.0, 7.0, 35.0, 512.0, 63.0, + 1280.0, 77.0, 2048.0, +]; + +/// A3 coefficients of ε^5 … ε^0 as polynomials in n. +const A3_COEFF: [f64; 18] = [ + -3.0, 128.0, -2.0, -3.0, 64.0, -1.0, -3.0, -1.0, 16.0, 3.0, -1.0, -2.0, 8.0, 1.0, -1.0, 2.0, + 1.0, 1.0, +]; + +/// C3[l] coefficients of ε^j as polynomials in n. +const C3_COEFF: [f64; 45] = [ + 3.0, 128.0, 2.0, 5.0, 128.0, -1.0, 3.0, 3.0, 64.0, -1.0, 0.0, 1.0, 8.0, -1.0, 1.0, 4.0, 5.0, + 256.0, 1.0, 3.0, 128.0, -3.0, -2.0, 3.0, 64.0, 1.0, -3.0, 2.0, 32.0, 7.0, 512.0, -10.0, 9.0, + 384.0, 5.0, -9.0, 5.0, 192.0, 7.0, 512.0, -14.0, 7.0, 512.0, 21.0, 2560.0, +]; + +/// C4[l] coefficients of ε^j as polynomials in n. +const C4_COEFF: [f64; 77] = [ + 97.0, 15015.0, 1088.0, 156.0, 45045.0, -224.0, -4784.0, 1573.0, 45045.0, -10656.0, 14144.0, + -4576.0, -858.0, 45045.0, 64.0, 624.0, -4576.0, 6864.0, -3003.0, 15015.0, 100.0, 208.0, 572.0, + 3432.0, -12012.0, 30030.0, 45045.0, 1.0, 9009.0, -2944.0, 468.0, 135_135.0, 5792.0, 1040.0, + -1287.0, 135_135.0, 5952.0, -11648.0, 9152.0, -2574.0, 135_135.0, -64.0, -624.0, 4576.0, + -6864.0, 3003.0, 135_135.0, 8.0, 10725.0, 1856.0, -936.0, 225_225.0, -8448.0, 4992.0, -1144.0, + 225_225.0, -1440.0, 4160.0, -4576.0, 1716.0, 225_225.0, -136.0, 63063.0, 1024.0, -208.0, + 105_105.0, 3584.0, -3328.0, 1144.0, 315_315.0, -128.0, 135_135.0, -2560.0, 832.0, 405_405.0, + 128.0, 99099.0, +]; + +/// Evaluate `table[o..=o+m]` at `x` and divide by `table[o+m+1]`. +fn ratio(table: &[f64], o: usize, m: usize, x: f64) -> f64 { + polyval(&table[o..=o + m], x) / table[o + m + 1] +} + +/// Fill c[1..=ORDER] with ε^l · P_l(ε²) / d_l from a C1/C1′/C2 table. +fn fourier_in_eps2(table: &[f64; 18], eps: f64) -> Coeffs { + let eps2 = sq(eps); + let mut c = [0.0; NC]; + let mut d = eps; + let mut o = 0; + for (l, slot) in c.iter_mut().enumerate().skip(1) { + let m = (ORDER - l) / 2; + *slot = d * ratio(table, o, m, eps2); + o += m + 2; + d *= eps; + } + c +} + +/// A1 − 1, Karney 2013 eq. 17. +pub(super) fn a1m1f(eps: f64) -> f64 { + let m = ORDER / 2; + let t = ratio(&A1M1_COEFF, 0, m, sq(eps)); + (t + eps) / (1.0 - eps) +} + +/// C1[l], Karney 2013 eq. 18. +pub(super) fn c1f(eps: f64) -> Coeffs { + fourier_in_eps2(&C1_COEFF, eps) +} + +/// C1′[l], Karney 2013 eq. 21. +pub(super) fn c1pf(eps: f64) -> Coeffs { + fourier_in_eps2(&C1P_COEFF, eps) +} + +/// A2 − 1, Karney 2013 eq. 42. +pub(super) fn a2m1f(eps: f64) -> f64 { + let m = ORDER / 2; + let t = ratio(&A2M1_COEFF, 0, m, sq(eps)); + (t - eps) / (1.0 + eps) +} + +/// C2[l], Karney 2013 eq. 43. +pub(super) fn c2f(eps: f64) -> Coeffs { + fourier_in_eps2(&C2_COEFF, eps) +} + +/// The n-dependent A3 coefficients, highest power of ε first. +pub(super) fn a3_coeff(n: f64) -> [f64; ORDER] { + let mut out = [0.0; ORDER]; + let mut o = 0; + for (k, slot) in out.iter_mut().enumerate() { + let j = ORDER - 1 - k; + let m = (ORDER - j - 1).min(j); + *slot = ratio(&A3_COEFF, o, m, n); + o += m + 2; + } + out +} + +/// The n-dependent C3 coefficients. +pub(super) fn c3_coeff(n: f64) -> [f64; NC3X] { + let mut out = [0.0; NC3X]; + let (mut o, mut k) = (0, 0); + for l in 1..ORDER { + for j in (l..ORDER).rev() { + let m = (ORDER - j - 1).min(j); + out[k] = ratio(&C3_COEFF, o, m, n); + k += 1; + o += m + 2; + } + } + out +} + +/// The n-dependent C4 coefficients. +pub(super) fn c4_coeff(n: f64) -> [f64; NC4X] { + let mut out = [0.0; NC4X]; + let (mut o, mut k) = (0, 0); + for l in 0..ORDER { + for j in (l..ORDER).rev() { + let m = ORDER - j - 1; + out[k] = ratio(&C4_COEFF, o, m, n); + k += 1; + o += m + 2; + } + } + out +} + +/// A3(ε) from the prepared coefficients. +pub(super) fn a3f(a3x: &[f64; ORDER], eps: f64) -> f64 { + polyval(a3x, eps) +} + +/// C3[1..ORDER) at ε from the prepared coefficients. +pub(super) fn c3f(c3x: &[f64; NC3X], eps: f64) -> Coeffs { + let mut c = [0.0; NC]; + let mut mult = 1.0; + let mut o = 0; + for (l, slot) in c.iter_mut().enumerate().take(ORDER).skip(1) { + let m = ORDER - l - 1; + mult *= eps; + *slot = mult * polyval(&c3x[o..=o + m], eps); + o += m + 1; + } + c +} + +/// C4[0..ORDER) at ε from the prepared coefficients. +pub(super) fn c4f(c4x: &[f64; NC4X], eps: f64) -> Coeffs { + let mut c = [0.0; NC]; + let mut mult = 1.0; + let mut o = 0; + for (l, slot) in c.iter_mut().enumerate().take(ORDER) { + let m = ORDER - l - 1; + *slot = mult * polyval(&c4x[o..=o + m], eps); + o += m + 1; + mult *= eps; + } + c +} + +/// Clenshaw sum: Σ c[i] sin(2i x), i = 1..=n, when `sinp`, else +/// Σ c[i] cos((2i + 1) x), i = 0..n. +pub(super) fn sin_cos_series(sinp: bool, sinx: f64, cosx: f64, c: &Coeffs, n: usize) -> f64 { + let mut idx = n + usize::from(sinp); + let ar = 2.0 * (cosx - sinx) * (cosx + sinx); + let mut y0 = if n % 2 == 1 { + idx -= 1; + c[idx] + } else { + 0.0 + }; + let mut y1 = 0.0; + for _ in 0..n / 2 { + idx -= 1; + y1 = ar * y0 - y1 + c[idx]; + idx -= 1; + y0 = ar * y1 - y0 + c[idx]; + } + if sinp { + 2.0 * sinx * cosx * y0 + } else { + cosx * (y0 - y1) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn table_lengths_match_loops() { + let n = 0.001_679_220_386_383_705; + assert_eq!(a3_coeff(n)[ORDER - 1], 1.0); + assert!((a3_coeff(n)[ORDER - 2] - (n - 1.0) / 2.0).abs() < 1e-17); + let _ = c3_coeff(n); + let _ = c4_coeff(n); + } + + #[test] + fn zero_eps_gives_zero_series() { + assert_eq!(a1m1f(0.0), 0.0); + assert_eq!(a2m1f(0.0), 0.0); + assert!(c1f(0.0).iter().all(|c| *c == 0.0)); + } + + #[test] + fn sine_series_single_term() { + let mut c = [0.0; NC]; + c[1] = 1.0; + let x: f64 = 0.3; + let got = sin_cos_series(true, x.sin(), x.cos(), &c, ORDER); + assert!((got - (2.0 * x).sin()).abs() < 1e-15); + } +} diff --git a/nodedb-crs/src/method/geodesic/start.rs b/nodedb-crs/src/method/geodesic/start.rs new file mode 100644 index 000000000..44ae3ed6d --- /dev/null +++ b/nodedb-crs/src/method/geodesic/start.rs @@ -0,0 +1,344 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The starting guess and the λ12(α1) function of the inverse geodesic +//! problem, ported from GeographicLib's C library (PROJ 9.8.1 +//! `src/geodesic.c`, `Astroid`, `InverseStart`, `Lambda12`). + +use core::f64::consts::PI; + +use super::math::{norm2, sq}; +use super::model::{Arc, Geodesic, TOL1, tiny, xthresh}; +use super::series::{ORDER, a3f, c3f, sin_cos_series}; + +/// |n| above which the astroid estimate is skipped, Karney 2013 §5. +const ASTROID_MAX_N: f64 = 0.1; + +/// Multiplier of |n| π cos² β1 in the "no astroid needed" test. +const ASTROID_SIG_FACTOR: f64 = 6.0; + +/// Threshold on sin β12, cos β2 · λ12 for a "short line", Karney 2013 §5. +const SHORT_LINE: f64 = 0.5; + +/// x below which the f < 0 branch scales β by x itself. +const PROLATE_X_SCALE: f64 = -0.01; + +/// Solve k⁴ + 2k³ − (x² + y² − 1)k² − 2y²k − y² = 0 for the positive root, +/// Karney 2013 eq. 55. +pub(super) fn astroid(x: f64, y: f64) -> f64 { + let p = sq(x); + let q = sq(y); + let r = (p + q - 1.0) / 6.0; + if q == 0.0 && r <= 0.0 { + // y = 0 with |x| ≤ 1. + return 0.0; + } + // S = r³ s and the discriminant of the quadratic for T³. + let s = p * q / 4.0; + let r2 = sq(r); + let r3 = r * r2; + let disc = s * (s + 2.0 * r3); + let mut u = r; + if disc >= 0.0 { + let mut t3 = s + r3; + // The sign of the root maximises |T³|, avoiding cancellation. + t3 += if t3 < 0.0 { -disc.sqrt() } else { disc.sqrt() }; + let t = t3.cbrt(); + u += t + if t != 0.0 { r2 / t } else { 0.0 }; + } else { + // T is complex, u stays real. + let ang = (-disc).sqrt().atan2(-(s + r3)); + u += 2.0 * r * (ang / 3.0).cos(); + } + let v = (sq(u) + q).sqrt(); + let uv = if u < 0.0 { q / (v - u) } else { u + v }; + let w = (uv - q) / (2.0 * v); + uv / ((uv + sq(w)).sqrt() + w) +} + +/// Reduced latitudes of the two endpoints, with dn = √(1 + e′² sin² β). +#[derive(Debug, Clone, Copy)] +pub(super) struct Ends { + pub(super) sbet1: f64, + pub(super) cbet1: f64, + pub(super) dn1: f64, + pub(super) sbet2: f64, + pub(super) cbet2: f64, + pub(super) dn2: f64, +} + +/// The starting guess of [`Geodesic::inverse_start`]. +#[derive(Debug, Clone, Copy)] +pub(super) struct Start { + /// σ12 when the short-line solution is final, else negative. + pub(super) sig12: f64, + pub(super) salp1: f64, + pub(super) calp1: f64, + /// Only set when `sig12 >= 0`. + pub(super) salp2: f64, + pub(super) calp2: f64, + /// Only set for short lines. + pub(super) dnm: f64, +} + +/// The state [`Geodesic::lambda12`] computes for one α1. +#[derive(Debug, Clone, Copy)] +pub(super) struct Lambda { + pub(super) lam12: f64, + pub(super) salp2: f64, + pub(super) calp2: f64, + pub(super) arc: Arc, + pub(super) domg12: f64, + /// dλ12/dα1, when requested. + pub(super) dlam12: f64, +} + +impl Geodesic { + /// Starting guess for Newton's method, GeographicLib `InverseStart`. + pub(super) fn inverse_start(&self, e: &Ends, lam12: f64, slam12: f64, clam12: f64) -> Start { + let Ends { + sbet1, + cbet1, + dn1, + sbet2, + cbet2, + dn2, + } = *e; + let mut out = Start { + sig12: -1.0, + salp1: 0.0, + calp1: 0.0, + salp2: 0.0, + calp2: 0.0, + dnm: 0.0, + }; + // β12 = β2 − β1 in [0, π), β12a = β2 + β1 in (−π, 0]. + let sbet12 = sbet2 * cbet1 - cbet2 * sbet1; + let cbet12 = cbet2 * cbet1 + sbet2 * sbet1; + let sbet12a = sbet2 * cbet1 + cbet2 * sbet1; + let shortline = cbet12 >= 0.0 && sbet12 < SHORT_LINE && cbet2 * lam12 < SHORT_LINE; + let (mut somg12, mut comg12); + if shortline { + let mut sbetm2 = sq(sbet1 + sbet2); + sbetm2 /= sbetm2 + sq(cbet1 + cbet2); + out.dnm = (1.0 + self.ep2 * sbetm2).sqrt(); + let omg12 = lam12 / (self.f1 * out.dnm); + (somg12, comg12) = omg12.sin_cos(); + } else { + (somg12, comg12) = (slam12, clam12); + } + + let mut salp1 = cbet2 * somg12; + let mut calp1 = if comg12 >= 0.0 { + sbet12 + cbet2 * sbet1 * sq(somg12) / (1.0 + comg12) + } else { + sbet12a - cbet2 * sbet1 * sq(somg12) / (1.0 - comg12) + }; + let ssig12 = salp1.hypot(calp1); + let csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; + + if shortline && ssig12 < self.etol2 { + // Really short line. + let salp2 = cbet1 * somg12; + let calp2 = sbet12 + - cbet1 + * sbet2 + * if comg12 >= 0.0 { + sq(somg12) / (1.0 + comg12) + } else { + 1.0 - comg12 + }; + (out.salp2, out.calp2) = norm2(salp2, calp2); + out.sig12 = ssig12.atan2(csig12); + } else if self.n.abs() > ASTROID_MAX_N + || csig12 >= 0.0 + || ssig12 >= ASTROID_SIG_FACTOR * self.n.abs() * PI * sq(cbet1) + { + // The zeroth-order spherical approximation is good enough. + } else { + // Scale λ12 and β2 so the antipode is at the origin and the + // singular point at y = 0, x = −1. + let lam12x = (-slam12).atan2(-clam12); + let (x, y, lamscale); + if self.f >= 0.0 { + let k2 = sq(sbet1) * self.ep2; + let eps = k2 / (2.0 * (1.0 + (1.0 + k2).sqrt()) + k2); + lamscale = self.f * cbet1 * a3f(&self.a3x, eps) * PI; + let betscale = lamscale * cbet1; + x = lam12x / lamscale; + y = sbet12a / betscale; + } else { + let cbet12a = cbet2 * cbet1 - sbet2 * sbet1; + let bet12a = sbet12a.atan2(cbet12a); + let l = self.lengths( + &Arc { + eps: self.n, + sig12: PI + bet12a, + ssig1: sbet1, + csig1: -cbet1, + dn1, + ssig2: sbet2, + csig2: cbet2, + dn2, + cbet1, + cbet2, + }, + false, + ); + x = -1.0 + l.m12b / (cbet1 * cbet2 * l.m0 * PI); + let betscale = if x < PROLATE_X_SCALE { + sbet12a / x + } else { + -self.f * sq(cbet1) * PI + }; + lamscale = betscale / cbet1; + y = lam12x / lamscale; + } + + if y > -TOL1 && x > -1.0 - xthresh() { + // Strip near the cut. + if self.f >= 0.0 { + salp1 = (-x).min(1.0); + calp1 = -(1.0 - sq(salp1)).sqrt(); + } else { + calp1 = x.max(if x > -TOL1 { 0.0 } else { -1.0 }); + salp1 = (1.0 - sq(calp1)).sqrt(); + } + } else { + // Estimate ω12 from the astroid, then α1 from the spherical + // formula, Karney 2013 eqs. 56–57. + let k = astroid(x, y); + let omg12a = lamscale + * if self.f >= 0.0 { + -x * k / (1.0 + k) + } else { + -y * (1.0 + k) / k + }; + somg12 = omg12a.sin(); + comg12 = -omg12a.cos(); + salp1 = cbet2 * somg12; + calp1 = sbet12a - cbet2 * sbet1 * sq(somg12) / (1.0 - comg12); + } + } + // The reversed test lets NaN through to norm2. + if salp1 > 0.0 || salp1.is_nan() { + (out.salp1, out.calp1) = norm2(salp1, calp1); + } else { + (out.salp1, out.calp1) = (1.0, 0.0); + } + out + } + + /// λ12 for a trial α1, GeographicLib `Lambda12`. + pub(super) fn lambda12( + &self, + e: &Ends, + salp1: f64, + calp1: f64, + slam120: f64, + clam120: f64, + diffp: bool, + ) -> Lambda { + let Ends { + sbet1, + cbet1, + dn1, + sbet2, + cbet2, + dn2, + } = *e; + // Break the degeneracy of the equatorial line, handled elsewhere. + let calp1 = if sbet1 == 0.0 && calp1 == 0.0 { + -tiny() + } else { + calp1 + }; + + // sin α1 cos β1 = sin α0. + let salp0 = salp1 * cbet1; + let calp0 = calp1.hypot(salp1 * sbet1); + + // tan β1 = tan σ1 cos α1, tan ω1 = sin α0 tan σ1. + let somg1 = salp0 * sbet1; + let comg1 = calp1 * cbet1; + let (ssig1, csig1) = norm2(sbet1, comg1); + + // Enforce symmetry for |β2| = −β1: sin α2 cos β2 = sin α0. + let salp2 = if cbet2 != cbet1 { salp0 / cbet2 } else { salp1 }; + let calp2 = if cbet2 != cbet1 || sbet2.abs() != -sbet1 { + (sq(calp1 * cbet1) + + if cbet1 < -sbet1 { + (cbet2 - cbet1) * (cbet1 + cbet2) + } else { + (sbet1 - sbet2) * (sbet1 + sbet2) + }) + .sqrt() + / cbet2 + } else { + calp1.abs() + }; + // tan β2 = tan σ2 cos α2, tan ω2 = sin α0 tan σ2. + let somg2 = salp0 * sbet2; + let comg2 = calp2 * cbet2; + let (ssig2, csig2) = norm2(sbet2, comg2); + + // σ12 = σ2 − σ1 in [0, π]. + let sig12 = + ((csig1 * ssig2 - ssig1 * csig2).max(0.0) + 0.0).atan2(csig1 * csig2 + ssig1 * ssig2); + // ω12 = ω2 − ω1 in [0, π]. + let somg12 = (comg1 * somg2 - somg1 * comg2).max(0.0) + 0.0; + let comg12 = comg1 * comg2 + somg1 * somg2; + // η = ω12 − λ120. + let eta = (somg12 * clam120 - comg12 * slam120).atan2(comg12 * clam120 + somg12 * slam120); + let k2 = sq(calp0) * self.ep2; + let eps = k2 / (2.0 * (1.0 + (1.0 + k2).sqrt()) + k2); + let c3a = c3f(&self.c3x, eps); + let b312 = sin_cos_series(true, ssig2, csig2, &c3a, ORDER - 1) + - sin_cos_series(true, ssig1, csig1, &c3a, ORDER - 1); + let domg12 = -self.f * a3f(&self.a3x, eps) * salp0 * (sig12 + b312); + let arc = Arc { + eps, + sig12, + ssig1, + csig1, + dn1, + ssig2, + csig2, + dn2, + cbet1, + cbet2, + }; + let dlam12 = if !diffp { + 0.0 + } else if calp2 == 0.0 { + -2.0 * self.f1 * dn1 / sbet1 + } else { + self.lengths(&arc, false).m12b * self.f1 / (calp2 * cbet2) + }; + Lambda { + lam12: eta + domg12, + salp2, + calp2, + arc, + domg12, + dlam12, + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn astroid_root_solves_quartic() { + for (x, y) in [(-0.5, -0.3), (-1.2, -0.01), (-0.9, -2.0), (0.3, -0.4)] { + let k: f64 = astroid(x, y); + let r = k.powi(4) + 2.0 * k.powi(3) + - (x * x + y * y - 1.0) * k * k + - 2.0 * y * y * k + - y * y; + assert!(k > 0.0 && r.abs() < 1e-12, "{x} {y} {k} {r}"); + } + assert_eq!(astroid(0.5, 0.0), 0.0); + } +} diff --git a/nodedb-crs/src/method/geos.rs b/nodedb-crs/src/method/geos.rs new file mode 100644 index 000000000..684285d2d --- /dev/null +++ b/nodedb-crs/src/method/geos.rs @@ -0,0 +1,376 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geostationary Satellite View, by PROJ `src/projections/geos.cpp`. +//! +//! x and y are the satellite's scanning angles times its height above the +//! ellipsoid. `+sweep=y` (the default, Meteosat convention) scans y first; +//! `+sweep=x` (GOES convention) scans x first. + +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// The scanning axis that sweeps first. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum SweepAxis { + /// `+sweep=x`, GOES. + X, + /// `+sweep=y`, Meteosat and Himawari. The PROJ default. + Y, +} + +/// Defining parameters of one geostationary projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct GeosParams { + /// Satellite height above the ellipsoid, metres. + pub h: f64, + /// Sub-satellite longitude λ0, degrees. + pub lon0_deg: f64, + pub sweep: SweepAxis, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl GeosParams { + /// Read from PROJ-string parameters. `+h` is required. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let h = p.number("h")?.ok_or(CrsParseError::Missing { + key: "h", + method: "geos", + })?; + if h <= 0.0 { + return Err(CrsParseError::invalid("h", &h.to_string())); + } + let sweep = match p.text("sweep")? { + None | Some("y") => SweepAxis::Y, + Some("x") => SweepAxis::X, + Some(other) => return Err(CrsParseError::invalid("sweep", other)), + }; + Ok(Self { + h, + lon0_deg: p.number_or("lon_0", 0.0)?, + sweep, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the PROJ form of the defining parameters. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=geos +h={} +lon_0={} +x_0={} +y_0={}", + self.h, self.lon0_deg, self.false_easting, self.false_northing + ); + match self.sweep { + SweepAxis::X => out.push_str(" +sweep=x"), + SweepAxis::Y => {} + } + } +} + +/// A geostationary projection with its constants computed. Lengths are in +/// units of the semi-major axis a. +#[derive(Debug, Clone, PartialEq)] +pub struct GeostationarySatellite { + params: GeosParams, + /// λ0, radians. + lon0: f64, + /// a, metres. + a: f64, + /// Polar radius b/a (1 on a sphere). + radius_p: f64, + /// (b/a)². + radius_p2: f64, + /// (a/b)². + radius_p_inv2: f64, + /// Distance from the Earth centre to the satellite, 1 + h/a. + radius_g: f64, + /// h/a. + radius_g_1: f64, + /// radius_g² − 1. + c: f64, +} + +impl GeostationarySatellite { + pub fn new(p: &GeosParams, ell: &Ellipsoid) -> Self { + let radius_g_1 = p.h / ell.a; + let radius_g = 1.0 + radius_g_1; + let one_es = 1.0 - ell.e2(); + Self { + params: *p, + lon0: p.lon0_deg.to_radians(), + a: ell.a, + radius_p: one_es.sqrt(), + radius_p2: one_es, + radius_p_inv2: 1.0 / one_es, + radius_g, + radius_g_1, + c: radius_g * radius_g - 1.0, + } + } + + /// Project λ, φ radians to x, y metres. A point the satellite does not + /// see returns `NotVisible`. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dlam = wrap_pi(lam - self.lon0); + // Geocentric latitude and the geocentric radius, in units of a. + let phi_c = (self.radius_p2 * phi.tan()).atan(); + let (sin_c, cos_c) = phi_c.sin_cos(); + let r = self.radius_p / (self.radius_p * cos_c).hypot(sin_c); + let vx = r * dlam.cos() * cos_c; + let vy = r * dlam.sin() * cos_c; + let vz = r * sin_c; + // PROJ geos.cpp visibility test. PROJ applies it on the ellipsoid + // only; on a sphere it reduces to the same test with b = a. + if (self.radius_g - vx) * vx - vy * vy - vz * vz * self.radius_p_inv2 < 0.0 { + return Err(DomainReason::NotVisible); + } + let tmp = self.radius_g - vx; + let (x, y) = match self.params.sweep { + SweepAxis::X => ( + self.radius_g_1 * (vy / vz.hypot(tmp)).atan(), + self.radius_g_1 * (vz / tmp).atan(), + ), + SweepAxis::Y => ( + self.radius_g_1 * (vy / tmp).atan(), + self.radius_g_1 * (vz / vy.hypot(tmp)).atan(), + ), + }; + Ok(( + self.a * x + self.params.false_easting, + self.a * y + self.params.false_northing, + )) + } + + /// Unproject x, y metres to λ, φ radians. A ray that misses the + /// ellipsoid returns `OutsideProjection`. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + // Direction of the ray from the satellite. + let vx = -1.0; + let (vy, vz) = match self.params.sweep { + SweepAxis::X => { + let vz = (y / self.radius_g_1).tan(); + ((x / self.radius_g_1).tan() * 1f64.hypot(vz), vz) + } + SweepAxis::Y => { + let vy = (x / self.radius_g_1).tan(); + (vy, (y / self.radius_g_1).tan() * 1f64.hypot(vy)) + } + }; + // Nearest intersection of the ray with the ellipsoid. + let vz_scaled = vz / self.radius_p; + let qa = vy * vy + vz_scaled * vz_scaled + vx * vx; + let qb = 2.0 * self.radius_g * vx; + let det = qb * qb - 4.0 * qa * self.c; + if det < 0.0 { + return Err(DomainReason::OutsideProjection); + } + let k = (-qb - det.sqrt()) / (2.0 * qa); + let px = self.radius_g + k * vx; + let py = k * vy; + let pz = k * vz; + let lam = py.atan2(px); + let phi = (self.radius_p_inv2 * pz / px.hypot(py)).atan(); + Ok((adjlon(self.lon0 + lam), phi)) + } +} + +/// Longitude past ±π by more than this wraps into [−π, π] (PROJ `adjlon`). +const ADJLON_SLACK: f64 = 1e-12; + +/// Wrap λ into [−π, π] unless it is within [`ADJLON_SLACK`] of the range, +/// as PROJ `adjlon` does on the inverse output. +fn adjlon(lam: f64) -> f64 { + if lam.abs() < core::f64::consts::PI + ADJLON_SLACK { + lam + } else { + wrap_pi(lam) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for PROJ reference values. + const MM: f64 = 1e-3; + + /// Inverse tolerance, degrees. + const DEG_TOL: f64 = 1e-9; + + /// NodeDB 990002, Himawari: `+proj=geos +h=35785863 +lon_0=140.7 + /// +ellps=WGS84`. + const HIMAWARI: GeosParams = GeosParams { + h: 35_785_863.0, + lon0_deg: 140.7, + sweep: SweepAxis::Y, + false_easting: 0.0, + false_northing: 0.0, + }; + + /// Input points shared by the reference sets. + const POINTS: [[f64; 2]; 4] = [[100.0, -30.0], [180.0, 40.0], [120.0, 60.0], [150.0, 10.0]]; + + /// PROJ 9.8.1 (pyproj 3.8.0): HIMAWARI. + const PROJ_SWEEP_Y: [[f64; 2]; 4] = [ + [-3_387_194.248_597_037, -2_967_586.956_076_014_3], + [2_883_394.569_923_46, 3_776_151.720_974_31], + [-1_032_087.201_384_981_2, 4_990_147.993_494_502], + [1_009_858.536_176_618_2, 1_094_000.736_002_136_3], + ]; + + /// PROJ 9.8.1: HIMAWARI with `+sweep=x`. + const PROJ_SWEEP_X: [[f64; 2]; 4] = [ + [-3_375_519.754_397_492_4, -2_980_868.497_043_092], + [2_867_322.184_380_393_5, 3_788_351.068_362_223_5], + [-1_022_066.338_940_185_6, 4_992_197.247_323_077], + [1_009_386.555_539_076_1, 1_094_436.206_817_044_6], + ]; + + /// PROJ 9.8.1: `+proj=geos +h=35785863 +lon_0=140.7 +R=6378137`. + const PROJ_SPHERE: [[f64; 2]; 4] = [ + [-3_384_064.730_060_460_5, -2_984_755.273_870_914_2], + [2_879_029.962_482_346_7, 3_795_711.914_534_45], + [-1_029_297.017_993_590_4, 5_009_940.871_180_367], + [1_009_739.101_464_030_2, 1_101_238.970_240_290_5], + ]; + + fn check(p: GeosParams, ell: Ellipsoid, refs: &[[f64; 2]; 4]) { + let g = GeostationarySatellite::new(&p, &ell); + for (ll, xy) in POINTS.iter().zip(refs) { + let (x, y) = g.forward(ll[0].to_radians(), ll[1].to_radians()).unwrap(); + assert!( + (x - xy[0]).abs() < MM && (y - xy[1]).abs() < MM, + "{ll:?}: got {x}, {y}" + ); + let (lam, phi) = g.inverse(xy[0], xy[1]).unwrap(); + assert!((lam.to_degrees() - ll[0]).abs() < DEG_TOL, "{ll:?}"); + assert!((phi.to_degrees() - ll[1]).abs() < DEG_TOL, "{ll:?}"); + } + } + + #[test] + fn matches_proj_sweep_y() { + check(HIMAWARI, Ellipsoid::WGS84, &PROJ_SWEEP_Y); + } + + #[test] + fn matches_proj_sweep_x() { + check( + GeosParams { + sweep: SweepAxis::X, + ..HIMAWARI + }, + Ellipsoid::WGS84, + &PROJ_SWEEP_X, + ); + } + + #[test] + fn matches_proj_sphere() { + check(HIMAWARI, Ellipsoid::sphere(6_378_137.0), &PROJ_SPHERE); + } + + #[test] + fn sub_satellite_point_is_origin() { + let g = GeostationarySatellite::new(&HIMAWARI, &Ellipsoid::WGS84); + let (x, y) = g.forward(140.7f64.to_radians(), 0.0).unwrap(); + assert!(x.abs() < MM && y.abs() < MM); + } + + #[test] + fn far_side_and_off_disk_are_out_of_domain() { + for ell in [Ellipsoid::WGS84, Ellipsoid::sphere(6_378_137.0)] { + let g = GeostationarySatellite::new(&HIMAWARI, &ell); + assert_eq!( + g.forward((-39.3f64).to_radians(), 0.0), + Err(DomainReason::NotVisible) + ); + assert_eq!( + g.forward(140.7f64.to_radians(), 85f64.to_radians()), + Err(DomainReason::NotVisible) + ); + assert_eq!( + g.inverse(6_000_000.0, 0.0), + Err(DomainReason::OutsideProjection) + ); + } + } + + /// PROJ 9.8.1 wraps the inverse longitude: 140.7° + 79.3° comes back + /// as −140° (pyproj gives −140.0000000000027). + #[test] + fn inverse_wraps_longitude_like_proj() { + let g = GeostationarySatellite::new(&HIMAWARI, &Ellipsoid::WGS84); + let (x, y) = g + .forward((-140f64).to_radians(), 10f64.to_radians()) + .unwrap(); + assert!((x - 5_347_786.938_853_634).abs() < MM && (y - 949_453.684_845_179_2).abs() < MM); + let (lam, phi) = g.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() + 140.0).abs() < DEG_TOL && (phi.to_degrees() - 10.0).abs() < DEG_TOL + ); + } + + #[test] + fn parses_and_writes_proj() { + let text = "+proj=geos +h=35785863 +lon_0=140.7 +ellps=WGS84 +units=m +no_defs"; + let p = GeosParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + assert_eq!(p, HIMAWARI); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + GeosParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(), + p + ); + let x = GeosParams::from_proj(&ProjParams::tokenize("+proj=geos +h=1 +sweep=x").unwrap()) + .unwrap(); + assert_eq!(x.sweep, SweepAxis::X); + let mut out = String::new(); + x.write_proj(&mut out); + assert_eq!( + GeosParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(), + x + ); + assert!( + GeosParams::from_proj(&ProjParams::tokenize("+proj=geos +h=1 +sweep=z").unwrap()) + .is_err() + ); + assert_eq!( + GeosParams::from_proj(&ProjParams::tokenize("+proj=geos +lon_0=0").unwrap()), + Err(CrsParseError::Missing { + key: "h", + method: "geos" + }) + ); + } +} diff --git a/nodedb-crs/src/method/krovak.rs b/nodedb-crs/src/method/krovak.rs new file mode 100644 index 000000000..53e173d1e --- /dev/null +++ b/nodedb-crs/src/method/krovak.rs @@ -0,0 +1,534 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Krovak and Krovak Modified, by IOGP Guidance Note 7-2 §3.1.2 and PROJ +//! `src/projections/krovak.cpp`. +//! +//! The native output follows PROJ: easting and northing (EPSG 1041 and +//! 1043, North Orientated) by default, or westing and southing with +//! `+czech`. EPSG 9819 and 1042 (south-orientated) rows carry +//! `+axis=swu`, which the transformer applies to this native output. +//! +//! PROJ fixes the ellipsoid to Bessel 1841, the cone-axis co-latitude αc to +//! 30°17'17.30311" and the pseudo standard parallel to 78°30'N. It ignores +//! `+ellps` and `+alpha` for this method, and so does this file. + +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Bessel 1841 semi-major axis, metres, as PROJ `krovak.cpp` fixes it. +const BESSEL_A: f64 = 6_377_397.155; + +/// Bessel 1841 e², as PROJ `krovak.cpp` fixes it. +const BESSEL_E2: f64 = 0.006_674_372_230_614; + +/// Complement of αc, radians: 59°42'42.69689" (PROJ `UQ`). +const UQ: f64 = 1.042_168_563_804_74; + +/// Latitude of the pseudo standard parallel φp, radians: 78°30'N (PROJ `S0`). +const S0: f64 = 1.370_083_462_815_55; + +/// αc in degrees, the value PROJ uses in place of `+alpha`. +pub const KROVAK_ALPHA_DEG: f64 = 30.288_139_752_777_8; + +/// Default latitude of the projection centre φc, degrees: 49°30'N. +pub const KROVAK_DEFAULT_LAT0_DEG: f64 = 49.5; + +/// Longitude of origin east of Ferro, degrees: 42°30'. +const FERRO_LON0_DEG: f64 = 42.5; + +/// Ferro meridian west of Greenwich, degrees: 17°40'. +const FERRO_WEST_OF_GREENWICH_DEG: f64 = 17.0 + 40.0 / 60.0; + +/// Default longitude of origin λ0, degrees east of Greenwich (PROJ default). +pub const KROVAK_DEFAULT_LON0_DEG: f64 = FERRO_LON0_DEG - FERRO_WEST_OF_GREENWICH_DEG; + +/// Default scale factor on the pseudo standard parallel. +pub const KROVAK_DEFAULT_K: f64 = 0.9999; + +/// cos s below which PROJ maps the point to the cone apex. +const APEX_COS_EPS: f64 = 1e-12; + +/// Latitude iteration step below which the inverse stops (PROJ `EPS`). +const LAT_TOLERANCE: f64 = 1e-15; + +/// Latitude iterations allowed (PROJ `MAX_ITER`). +const LAT_MAX_ITERS: usize = 100; + +/// Krovak Modified evaluation point X0 (southing), metres. GN 7-2 §3.1.2.3. +const MOD_X0: f64 = 1_089_000.0; + +/// Krovak Modified evaluation point Y0 (westing), metres. GN 7-2 §3.1.2.3. +const MOD_Y0: f64 = 654_000.0; + +/// Krovak Modified polynomial C1..C10. GN 7-2 §3.1.2.3. +const MOD_C: [f64; 10] = [ + 2.946_529_277e-2, + 2.515_965_696e-2, + 1.193_845_912e-7, + -4.668_270_147e-7, + 9.233_980_362e-12, + 1.523_735_715e-12, + 1.696_780_024e-18, + 4.408_314_235e-18, + -8.331_083_518e-24, + -3.689_471_323e-24, +]; + +/// Defining parameters of one Krovak projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct KrovakParams { + /// Latitude of the projection centre φc, degrees. + pub lat0_deg: f64, + /// Longitude of origin λ0, degrees. + pub lon0_deg: f64, + /// `+alpha`, degrees. Kept for writing only: the math uses + /// [`KROVAK_ALPHA_DEG`], as PROJ does. + pub alpha_deg: f64, + /// Scale factor on the pseudo standard parallel kp. + pub k: f64, + /// False easting FE, metres. It offsets the westing. + pub false_easting: f64, + /// False northing FN, metres. It offsets the southing. + pub false_northing: f64, + /// PROJ `+czech`: output westing, southing instead of easting, northing. + pub czech: bool, + /// PROJ `mod_krovak` (EPSG 1042 / 1043): apply the GN 7-2 §3.1.2.3 + /// correction polynomial. + pub modified: bool, +} + +impl KrovakParams { + /// Read from PROJ-string parameters. `+proj=mod_krovak` selects the + /// modified method. Every parameter has a PROJ default. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let k = p.number_any(&["k", "k_0"])?.unwrap_or(KROVAK_DEFAULT_K); + if k <= 0.0 { + return Err(CrsParseError::invalid("k", &k.to_string())); + } + Ok(Self { + lat0_deg: p.number_or("lat_0", KROVAK_DEFAULT_LAT0_DEG)?, + lon0_deg: p.number_or("lon_0", KROVAK_DEFAULT_LON0_DEG)?, + alpha_deg: p.number_or("alpha", KROVAK_ALPHA_DEG)?, + k, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + czech: p.has("czech"), + modified: p.text("proj")? == Some("mod_krovak"), + }) + } + + /// Append the PROJ form of the defining parameters. + pub fn write_proj(&self, out: &mut String) { + let name = if self.modified { + "mod_krovak" + } else { + "krovak" + }; + let _ = write!( + out, + " +proj={name} +lat_0={} +lon_0={} +alpha={} +k={} +x_0={} +y_0={}", + self.lat0_deg, + self.lon0_deg, + self.alpha_deg, + self.k, + self.false_easting, + self.false_northing + ); + if self.czech { + out.push_str(" +czech"); + } + } +} + +/// A Krovak projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Krovak { + params: KrovakParams, + /// λ0, radians. + lon0: f64, + /// e of the fixed Bessel ellipsoid. + e: f64, + /// GN 7-2 B (PROJ `alpha`). + b: f64, + /// GN 7-2 t0 (PROJ `k`). + t0: f64, + /// GN 7-2 n = sin φp. + n: f64, + /// GN 7-2 r0 in units of a. + rho0: f64, + /// rho0 · tan(φp/2 + π/4)^n, the forward r numerator. + rho_num: f64, + /// αc, radians. + ad: f64, +} + +impl Krovak { + /// Prepare the constants. The ellipsoid is ignored: PROJ fixes Bessel. + pub fn new(p: &KrovakParams, _ell: &Ellipsoid) -> Self { + let e = BESSEL_E2.sqrt(); + let phi0 = p.lat0_deg.to_radians(); + let (sin_p0, cos_p0) = phi0.sin_cos(); + // GN 7-2 §3.1.2.1 projection constants. + let b = (1.0 + BESSEL_E2 * cos_p0.powi(4) / (1.0 - BESSEL_E2)).sqrt(); + let u0 = (sin_p0 / b).asin(); + let g = ((1.0 + e * sin_p0) / (1.0 - e * sin_p0)).powf(b * e / 2.0); + let t0 = (u0 / 2.0 + FRAC_PI_4).tan() / (phi0 / 2.0 + FRAC_PI_4).tan().powf(b) * g; + let n0 = (1.0 - BESSEL_E2).sqrt() / (1.0 - BESSEL_E2 * sin_p0 * sin_p0); + let n = S0.sin(); + let rho0 = p.k * n0 / S0.tan(); + Self { + params: *p, + lon0: p.lon0_deg.to_radians(), + e, + b, + t0, + n, + rho0, + rho_num: rho0 * (S0 / 2.0 + FRAC_PI_4).tan().powf(n), + ad: FRAC_PI_2 - UQ, + } + } + + /// Project λ, φ radians to the native x, y metres (see the module doc). + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dlam = wrap_pi(lam - self.lon0); + let es = self.e * phi.sin(); + let gfi = ((1.0 + es) / (1.0 - es)).powf(self.b * self.e / 2.0); + let u = + 2.0 * ((self.t0 * (phi / 2.0 + FRAC_PI_4).tan().powf(self.b) / gfi).atan() - FRAC_PI_4); + let dv = -dlam * self.b; + let (sin_ad, cos_ad) = self.ad.sin_cos(); + let (sin_u, cos_u) = u.sin_cos(); + let s = clamped_asin(cos_ad * sin_u + sin_ad * cos_u * dv.cos()); + let cos_s = s.cos(); + // Southing Xp and westing Yp in units of a. The cone apex maps to 0. + let (xp, yp) = if cos_s < APEX_COS_EPS { + (0.0, 0.0) + } else { + let d = clamped_asin(cos_u * dv.sin() / cos_s); + let eps = self.n * d; + let rho = self.rho_num / (s / 2.0 + FRAC_PI_4).tan().powf(self.n); + (rho * eps.cos(), rho * eps.sin()) + }; + let (mut south, mut west) = (xp * BESSEL_A, yp * BESSEL_A); + if self.params.modified { + let (dx, dy) = modified_correction(south - MOD_X0, west - MOD_Y0); + south -= dx; + west -= dy; + } + let south = south + self.params.false_northing; + let west = west + self.params.false_easting; + Ok(if self.params.czech { + (west, south) + } else { + (-west, -south) + }) + } + + /// Unproject native x, y metres to λ, φ radians. + /// + /// For north-orientated output PROJ 9.8.1 subtracts `+y_0` from the + /// westing and `+x_0` from the southing, which inverts its own forward + /// only when `+x_0 == +y_0`. This inverse follows GN 7-2 (westing − FE, + /// southing − FN), so it agrees with PROJ on every EPSG row. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let (west, south) = if self.params.czech { (x, y) } else { (-x, -y) }; + let mut south = south - self.params.false_northing; + let mut west = west - self.params.false_easting; + if self.params.modified { + let (dx, dy) = modified_correction(south - MOD_X0, west - MOD_Y0); + south += dx; + west += dy; + } + let (xp, yp) = (south / BESSEL_A, west / BESSEL_A); + let rho = xp.hypot(yp); + let eps = yp.atan2(xp); + let d = eps / S0.sin(); + let s = if rho == 0.0 { + FRAC_PI_2 + } else { + 2.0 * (((self.rho0 / rho).powf(1.0 / self.n) * (S0 / 2.0 + FRAC_PI_4).tan()).atan() + - FRAC_PI_4) + }; + let (sin_ad, cos_ad) = self.ad.sin_cos(); + let (sin_s, cos_s) = s.sin_cos(); + let u = clamped_asin(cos_ad * sin_s - sin_ad * cos_s * d.cos()); + let dv = clamped_asin(cos_s * d.sin() / u.cos()); + let lam = self.lon0 - dv / self.b; + // GN 7-2 §3.1.2.1 latitude iteration, started at U'. + let base = self.t0.powf(-1.0 / self.b) * (u / 2.0 + FRAC_PI_4).tan().powf(1.0 / self.b); + let mut fi1 = u; + for _ in 0..LAT_MAX_ITERS { + let es = self.e * fi1.sin(); + let phi = + 2.0 * ((base * ((1.0 + es) / (1.0 - es)).powf(self.e / 2.0)).atan() - FRAC_PI_4); + if (fi1 - phi).abs() < LAT_TOLERANCE { + return Ok((lam, phi)); + } + fi1 = phi; + } + Err(DomainReason::NoConvergence) + } +} + +/// asin with its argument clamped to [−1, 1], so rounding past ±1 at the +/// cone apex gives ±π/2 instead of NaN. +fn clamped_asin(v: f64) -> f64 { + v.clamp(-1.0, 1.0).asin() +} + +/// The Krovak Modified correction (dX, dY) in metres for the reduced +/// southing Xr and westing Yr. GN 7-2 §3.1.2.3. +fn modified_correction(xr: f64, yr: f64) -> (f64, f64) { + let [c1, c2, c3, c4, c5, c6, c7, c8, c9, c10] = MOD_C; + let (xr2, yr2) = (xr * xr, yr * yr); + let (xr4, yr4) = (xr2 * xr2, yr2 * yr2); + let dx = c1 + c3 * xr - c4 * yr - 2.0 * c6 * xr * yr + + c5 * (xr2 - yr2) + + c7 * xr * (xr2 - 3.0 * yr2) + - c8 * yr * (3.0 * xr2 - yr2) + + 4.0 * c9 * xr * yr * (xr2 - yr2) + + c10 * (xr4 + yr4 - 6.0 * xr2 * yr2); + let dy = c2 + + c3 * yr + + c4 * xr + + 2.0 * c5 * xr * yr + + c6 * (xr2 - yr2) + + c8 * xr * (xr2 - 3.0 * yr2) + + c7 * yr * (3.0 * xr2 - yr2) + - 4.0 * c10 * xr * yr * (xr2 - yr2) + + c9 * (xr4 + yr4 - 6.0 * xr2 * yr2); + (dx, dy) +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for PROJ reference values. + const MM: f64 = 1e-3; + + /// GN 7-2 prints grid coordinates to the centimetre. + const CM: f64 = 1e-2; + + /// Inverse tolerance, degrees. + const DEG_TOL: f64 = 1e-9; + + /// Ferro meridian in degrees east of Greenwich. + const FERRO_DEG: f64 = -FERRO_WEST_OF_GREENWICH_DEG; + + /// GN 7-2 §3.1.2.1 example point: 50°12'32.442"N, 16°50'59.179"E. + const GN_LAT: f64 = 50.0 + 12.0 / 60.0 + 32.442 / 3600.0; + const GN_LON_GREENWICH: f64 = 16.0 + 50.0 / 60.0 + 59.179 / 3600.0; + + /// EPSG:5514 S-JTSK / Krovak East North, Greenwich λ0. + const EAST_NORTH: KrovakParams = KrovakParams { + lat0_deg: 49.5, + lon0_deg: 24.833_333_333_333_3, + alpha_deg: KROVAK_ALPHA_DEG, + k: 0.9999, + false_easting: 0.0, + false_northing: 0.0, + czech: false, + modified: false, + }; + + /// EPSG:5221 S-JTSK (Ferro) / Krovak East North: λ0 east of Ferro. + const FERRO: KrovakParams = KrovakParams { + lon0_deg: FERRO_LON0_DEG, + ..EAST_NORTH + }; + + fn kro(p: KrovakParams) -> Krovak { + Krovak::new(&p, &Ellipsoid::BESSEL_1841) + } + + fn fwd(k: &Krovak, lon: f64, lat: f64) -> [f64; 2] { + let (x, y) = k.forward(lon.to_radians(), lat.to_radians()).unwrap(); + [x, y] + } + + fn inv(k: &Krovak, x: f64, y: f64) -> [f64; 2] { + let (lam, phi) = k.inverse(x, y).unwrap(); + [lam.to_degrees(), phi.to_degrees()] + } + + fn assert_xy(got: [f64; 2], want: [f64; 2], tol: f64) { + assert!( + (got[0] - want[0]).abs() < tol && (got[1] - want[1]).abs() < tol, + "got {got:?}, want {want:?}" + ); + } + + fn assert_ll(got: [f64; 2], want: [f64; 2]) { + assert!( + (got[0] - want[0]).abs() < DEG_TOL && (got[1] - want[1]).abs() < DEG_TOL, + "got {got:?}, want {want:?}" + ); + } + + /// GN 7-2 §3.1.2.1 and §3.1.2.2: southing 1050538.64, westing 568991.00 + /// on S-JTSK (Ferro); east-north is their negation. + #[test] + fn gn7_2_krovak_example() { + let lon_ferro = GN_LON_GREENWICH - FERRO_DEG; + let en = kro(FERRO); + let got = fwd(&en, lon_ferro, GN_LAT); + assert_xy(got, [-568_991.00, -1_050_538.64], CM); + assert_ll(inv(&en, got[0], got[1]), [lon_ferro, GN_LAT]); + let czech = kro(KrovakParams { + czech: true, + ..FERRO + }); + let got = fwd(&czech, lon_ferro, GN_LAT); + assert_xy(got, [568_991.00, 1_050_538.64], CM); + assert_ll(inv(&czech, got[0], got[1]), [lon_ferro, GN_LAT]); + } + + /// GN 7-2 §3.1.2.3: southing 6050538.71, westing 5568990.91. + #[test] + fn gn7_2_krovak_modified_example() { + let lon_ferro = GN_LON_GREENWICH - FERRO_DEG; + let m = kro(KrovakParams { + alpha_deg: 30.288_139_722_222_2, + false_easting: 5_000_000.0, + false_northing: 5_000_000.0, + czech: true, + modified: true, + ..FERRO + }); + let got = fwd(&m, lon_ferro, GN_LAT); + assert_xy(got, [5_568_990.91, 6_050_538.71], CM); + assert_ll(inv(&m, got[0], got[1]), [lon_ferro, GN_LAT]); + } + + /// PROJ 9.8.1 (pyproj 3.8.0): `+proj=krovak +lat_0=49.5 + /// +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 + /// +y_0=0 +ellps=bessel`. + const PROJ_EAST_NORTH: [([f64; 2], [f64; 2]); 4] = [ + ( + [14.42, 50.09], + [-742_949.430_991_364, -1_042_796.966_162_558_8], + ), + ( + [17.25, 49.6], + [-547_275.172_457_898_4, -1_120_838.490_282_355], + ), + ( + [21.26, 48.72], + [-262_783.267_288_195_7, -1_239_668.514_791_595_3], + ), + ( + [12.5, 50.3], + [-875_002.719_143_145_3, -999_278.244_061_490_6], + ), + ]; + + #[test] + fn matches_proj_east_north_and_czech() { + let en = kro(EAST_NORTH); + let czech = kro(KrovakParams { + czech: true, + ..EAST_NORTH + }); + for (ll, xy) in PROJ_EAST_NORTH { + assert_xy(fwd(&en, ll[0], ll[1]), xy, MM); + assert_ll(inv(&en, xy[0], xy[1]), ll); + assert_xy(fwd(&czech, ll[0], ll[1]), [-xy[0], -xy[1]], MM); + assert_ll(inv(&czech, -xy[0], -xy[1]), ll); + } + } + + /// PROJ 9.8.1: the same with `+x_0=1000 +y_0=2000`. The false easting + /// offsets the westing, so the easting moves by −x_0. + #[test] + fn matches_proj_false_origin() { + let k = kro(KrovakParams { + false_easting: 1000.0, + false_northing: 2000.0, + ..EAST_NORTH + }); + let got = fwd(&k, 14.42, 50.09); + assert_xy(got, [-743_949.430_991_364, -1_044_796.966_162_558_8], MM); + assert_ll(inv(&k, got[0], got[1]), [14.42, 50.09]); + } + + /// PROJ 9.8.1: `+proj=mod_krovak +lat_0=49.5 +lon_0=24.8333333333333 + /// +alpha=30.2881397222222 +k=0.9999 +x_0=5000000 +y_0=5000000 + /// +ellps=bessel` (EPSG:5516). + #[test] + fn matches_proj_modified_east_north() { + let m = kro(KrovakParams { + alpha_deg: 30.288_139_722_222_2, + false_easting: 5_000_000.0, + false_northing: 5_000_000.0, + modified: true, + ..EAST_NORTH + }); + let refs = [ + ( + [14.42, 50.09], + [-5_742_949.453_537_842, -6_042_796.939_892_596], + ), + ( + [17.25, 49.6], + [-5_547_275.256_600_676, -6_120_838.599_420_415], + ), + ( + [21.26, 48.72], + [-5_262_784.792_245_157, -6_239_670.199_519_085], + ), + ( + [12.5, 50.3], + [-5_875_002.997_380_169, -5_999_278.420_538_127], + ), + ]; + for (ll, xy) in refs { + assert_xy(fwd(&m, ll[0], ll[1]), xy, MM); + assert_ll(inv(&m, xy[0], xy[1]), ll); + } + } + + #[test] + fn parses_and_writes_proj() { + let text = "+proj=krovak +axis=swu +lat_0=49.5 +lon_0=42.5 +alpha=30.2881397527778 \ + +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +pm=-17.6666666666667"; + let p = KrovakParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + assert_eq!(p, FERRO); + let mut out = String::new(); + p.write_proj(&mut out); + let again = KrovakParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(); + assert_eq!(again, p); + let defaults = + KrovakParams::from_proj(&ProjParams::tokenize("+proj=krovak").unwrap()).unwrap(); + assert_eq!(defaults.lat0_deg, KROVAK_DEFAULT_LAT0_DEG); + assert!((defaults.lon0_deg - 24.833_333_333_333_3).abs() < 1e-12); + assert_eq!(defaults.k, KROVAK_DEFAULT_K); + let czech = + KrovakParams::from_proj(&ProjParams::tokenize("+proj=mod_krovak +czech").unwrap()) + .unwrap(); + assert!(czech.czech && czech.modified); + let mut out = String::new(); + czech.write_proj(&mut out); + assert_eq!( + KrovakParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(), + czech + ); + } +} diff --git a/nodedb-crs/src/method/labrd.rs b/nodedb-crs/src/method/labrd.rs new file mode 100644 index 000000000..defe1edfe --- /dev/null +++ b/nodedb-crs/src/method/labrd.rs @@ -0,0 +1,355 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Laborde Oblique Mercator (EPSG 9813), by PROJ +//! `src/projections/labrd.cpp`. +//! +//! PROJ evaluates Laborde's series expansion of the method in the +//! longitude difference and a cubic complex correction for the azimuth, +//! where IOGP Guidance Note 7-2 §3.2.4.2 gives the closed form. The two +//! agree at the GN 7-2 worked example to within a millimetre. + +use core::f64::consts::FRAC_PI_4; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Latitude step below which the inverse iteration stops (PROJ `EPS`). +const LAT_TOLERANCE: f64 = 1e-10; + +/// Latitude iterations (PROJ). PROJ keeps the last iterate when the cap is +/// reached, and so does this file. +const LAT_MAX_ITERS: usize = 20; + +/// Largest |φc| in degrees. +const MAX_LAT0_DEG: f64 = 90.0; + +/// Defining parameters of one Laborde Oblique Mercator projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct LabrdParams { + /// Latitude of the projection centre φc, degrees. Never zero. + pub lat0_deg: f64, + /// Longitude of the projection centre λc, degrees. + pub lon0_deg: f64, + /// Azimuth of the initial line αc, degrees (PROJ `+azi`). + pub azi_deg: f64, + /// Scale factor on the initial line kc. + pub k0: f64, + /// Easting at the projection centre, metres. + pub false_easting: f64, + /// Northing at the projection centre, metres. + pub false_northing: f64, +} + +impl LabrdParams { + /// Read from PROJ-string parameters. `+lat_0` is required and nonzero, + /// as in PROJ. `+azi` defaults to 0 and `+k` to 1. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number("lat_0")?.ok_or(CrsParseError::Missing { + key: "lat_0", + method: "labrd", + })?; + if lat0_deg == 0.0 || lat0_deg.abs() >= MAX_LAT0_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + let k0 = p.number_any(&["k", "k_0"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k", &k0.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + azi_deg: p.number_or("azi", 0.0)?, + k0, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the PROJ form of the defining parameters. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=labrd +lat_0={} +lon_0={} +azi={} +k={} +x_0={} +y_0={}", + self.lat0_deg, + self.lon0_deg, + self.azi_deg, + self.k0, + self.false_easting, + self.false_northing + ); + } +} + +/// A Laborde Oblique Mercator projection with its constants computed. +/// Lengths are in units of the semi-major axis a. +#[derive(Debug, Clone, PartialEq)] +pub struct LabordeObliqueMercator { + params: LabrdParams, + /// φc, radians. + phi0: f64, + /// λc, radians. + lon0: f64, + a: f64, + e: f64, + /// 1 − e². + one_es: f64, + /// k0 · √(N R), the Gauss sphere radius. + k_rg: f64, + /// Centre latitude on the Gauss sphere. + p0s: f64, + /// Gauss sphere exponent. + big_a: f64, + /// Gauss sphere constant. + big_c: f64, + /// Azimuth correction coefficients (PROJ `Ca`..`Cd`). + ca: f64, + cb: f64, + cc: f64, + cd: f64, +} + +impl LabordeObliqueMercator { + pub fn new(p: &LabrdParams, ell: &Ellipsoid) -> Self { + let e2 = ell.e2(); + let e = ell.e(); + let one_es = 1.0 - e2; + let phi0 = p.lat0_deg.to_radians(); + let az = p.azi_deg.to_radians(); + let sinp = phi0.sin(); + // Radii of curvature at φc in units of a, PROJ labrd.cpp setup. + let t = 1.0 - e2 * sinp * sinp; + let n = 1.0 / t.sqrt(); + let r = one_es * n / t; + let k_rg = p.k0 * (n * r).sqrt(); + let p0s = ((r / n).sqrt() * phi0.tan()).atan(); + let big_a = sinp / p0s.sin(); + let es = e * sinp; + let big_c = 0.5 * e * big_a * ((1.0 + es) / (1.0 - es)).ln() + - big_a * (FRAC_PI_4 + 0.5 * phi0).tan().ln() + + (FRAC_PI_4 + 0.5 * p0s).tan().ln(); + let cb0 = 1.0 / (12.0 * k_rg * k_rg); + let ca = (1.0 - (2.0 * az).cos()) * cb0; + let cb = cb0 * (2.0 * az).sin(); + Self { + params: *p, + phi0, + lon0: p.lon0_deg.to_radians(), + a: ell.a, + e, + one_es, + k_rg, + p0s, + big_a, + big_c, + ca, + cb, + cc: 3.0 * (ca * ca - cb * cb), + cd: 6.0 * ca * cb, + } + } + + /// Latitude on the Gauss sphere for geodetic latitude φ. + fn sphere_lat(&self, phi: f64) -> f64 { + let v1 = self.big_a * (FRAC_PI_4 + 0.5 * phi).tan().ln(); + let t = self.e * phi.sin(); + let v2 = 0.5 * self.e * self.big_a * ((1.0 + t) / (1.0 - t)).ln(); + 2.0 * ((v1 - v2 + self.big_c).exp().atan() - FRAC_PI_4) + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dlam = wrap_pi(lam - self.lon0); + let ps = self.sphere_lat(phi); + let i1 = ps - self.p0s; + let (sinps, cosps) = ps.sin_cos(); + let (sinps2, cosps2) = (sinps * sinps, cosps * cosps); + let a2 = self.big_a * self.big_a; + // Series terms I1..I6, PROJ labrd_e_forward. + let i4 = self.big_a * cosps; + let i2 = 0.5 * self.big_a * i4 * sinps; + let i3 = i2 * a2 * (5.0 * cosps2 - sinps2) / 12.0; + let i6_base = i4 * a2; + let i5 = i6_base * (cosps2 - sinps2) / 6.0; + let i6 = i6_base * a2 * (5.0 * cosps2 * cosps2 + sinps2 * (sinps2 - 18.0 * cosps2)) / 120.0; + let t = dlam * dlam; + let mut x = self.k_rg * dlam * (i4 + t * (i5 + t * i6)); + let mut y = self.k_rg * (i1 + t * (i2 + t * i3)); + // Cubic azimuth correction. + let (x2, y2) = (x * x, y * y); + let v1 = 3.0 * x * y2 - x * x2; + let v2 = y * y2 - 3.0 * x2 * y; + x += self.ca * v1 + self.cb * v2; + y += self.ca * v2 - self.cb * v1; + Ok(( + self.a * x + self.params.false_easting, + self.a * y + self.params.false_northing, + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let mut x = (x - self.params.false_easting) / self.a; + let mut y = (y - self.params.false_northing) / self.a; + // Remove the azimuth correction to fifth order. + let (x2, y2) = (x * x, y * y); + let v1 = 3.0 * x * y2 - x * x2; + let v2 = y * y2 - 3.0 * x2 * y; + let v3 = x * (5.0 * y2 * y2 + x2 * (-10.0 * y2 + x2)); + let v4 = y * (5.0 * x2 * x2 + y2 * (-10.0 * x2 + y2)); + x += -self.ca * v1 - self.cb * v2 + self.cc * v3 + self.cd * v4; + y += self.cb * v1 - self.ca * v2 - self.cd * v3 + self.cc * v4; + let ps = self.p0s + y / self.k_rg; + // Geodetic latitude whose sphere latitude is ps, by fixed-point + // iteration from ps shifted by φc − p0s. + let mut pe = ps + self.phi0 - self.p0s; + for _ in 0..LAT_MAX_ITERS { + let step = ps - self.sphere_lat(pe); + pe += step; + if step.abs() < LAT_TOLERANCE { + break; + } + } + // Series terms I7..I11, PROJ labrd_e_inverse. + let t = self.e * pe.sin(); + let t = 1.0 - t * t; + let re = self.one_es / (t * t.sqrt()); + let tan_ps = ps.tan(); + let t2 = tan_ps * tan_ps; + let s = self.k_rg * self.k_rg; + let d = re * self.params.k0 * self.k_rg; + let i7 = tan_ps / (2.0 * d); + let i8 = tan_ps * (5.0 + 3.0 * t2) / (24.0 * d * s); + let d = ps.cos() * self.k_rg * self.big_a; + let i9 = 1.0 / d; + let d = d * s; + let i10 = (1.0 + 2.0 * t2) / (6.0 * d); + let i11 = (5.0 + t2 * (28.0 + 24.0 * t2)) / (120.0 * d * s); + let x2 = x * x; + let phi = pe + x2 * (-i7 + i8 * x2); + let dlam = x * (i9 + x2 * (-i10 + x2 * i11)); + Ok((self.lon0 + dlam, phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for PROJ reference values. + const MM: f64 = 1e-3; + + /// Inverse tolerance, degrees. + const DEG_TOL: f64 = 1e-9; + + /// EPSG:8441 Tananarive / Laborde Grid, Greenwich λc. + const TANANARIVE: LabrdParams = LabrdParams { + lat0_deg: -18.9, + lon0_deg: 46.437_229_166_666_7, + azi_deg: 18.9, + k0: 0.9995, + false_easting: 400_000.0, + false_northing: 800_000.0, + }; + + fn lab() -> LabordeObliqueMercator { + LabordeObliqueMercator::new(&TANANARIVE, &Ellipsoid::INTERNATIONAL_1924) + } + + /// GN 7-2 §3.2.4.2: 16°11'23.280"S, 44°27'27.260"E gives E = + /// 188333.848 m, N = 1098841.091 m. + #[test] + fn gn7_2_example() { + let lat: f64 = -(16.0 + 11.0 / 60.0 + 23.280 / 3600.0); + let lon: f64 = 44.0 + 27.0 / 60.0 + 27.260 / 3600.0; + let l = lab(); + let (x, y) = l.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - 188_333.848).abs() < MM && (y - 1_098_841.091).abs() < MM, + "got {x}, {y}" + ); + let (lam, phi) = l.inverse(188_333.848, 1_098_841.091).unwrap(); + // GN 7-2 prints the reverse result to 0.001", about 5e-7°. + assert!((lam.to_degrees() - lon).abs() < 1e-7 && (phi.to_degrees() - lat).abs() < 1e-7); + } + + /// PROJ 9.8.1 (pyproj 3.8.0): `+proj=labrd +lat_0=-18.9 + /// +lon_0=46.4372291666667 +azi=18.9 +k=0.9995 +x_0=400000 +y_0=800000 + /// +ellps=intl`. Columns: input λ, φ; PROJ forward x, y; PROJ inverse + /// of that x, y. The PROJ inverse series misses the input by up to + /// 7e-8°, so the inverse check compares with PROJ's own inverse. + const PROJ_TANANARIVE: [([f64; 2], [f64; 2], [f64; 2]); 4] = [ + ( + [47.5207, -18.9137], + [514_091.950_795_276, 798_136.475_317_906], + [47.520_700_000_000_8, -18.913_700_000_554_54], + ), + ( + [49.4, -12.3], + [722_684.617_565_835_8, 1_527_659.685_043_107_7], + [49.400_000_018_480_554, -12.299_999_931_815_185], + ), + ( + [43.7, -23.35], + [120_070.082_881_767_13, 305_117.680_992_782_47], + [43.699_999_994_561_25, -23.350_000_062_799_186], + ), + ( + [47.0, -25.0], + [456_439.021_317_990_5, 124_525.325_313_277_43], + [46.999_999_999_833_56, -24.999_999_985_024_647], + ), + ]; + + #[test] + fn matches_proj() { + let l = lab(); + for (ll, xy, back) in PROJ_TANANARIVE { + let (x, y) = l.forward(ll[0].to_radians(), ll[1].to_radians()).unwrap(); + assert!( + (x - xy[0]).abs() < MM && (y - xy[1]).abs() < MM, + "{ll:?}: got {x}, {y}" + ); + let (lam, phi) = l.inverse(xy[0], xy[1]).unwrap(); + assert!((lam.to_degrees() - back[0]).abs() < DEG_TOL, "{ll:?}"); + assert!((phi.to_degrees() - back[1]).abs() < DEG_TOL, "{ll:?}"); + } + } + + #[test] + fn parses_and_writes_proj() { + let text = "+proj=labrd +lat_0=-18.9 +lon_0=46.4372291666667 +azi=18.9 +k=0.9995 \ + +x_0=400000 +y_0=800000 +ellps=intl +units=m +no_defs"; + let p = LabrdParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + assert_eq!(p, TANANARIVE); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + LabrdParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(), + p + ); + assert!( + LabrdParams::from_proj(&ProjParams::tokenize("+proj=labrd +lat_0=0").unwrap()).is_err() + ); + assert_eq!( + LabrdParams::from_proj(&ProjParams::tokenize("+proj=labrd").unwrap()), + Err(CrsParseError::Missing { + key: "lat_0", + method: "labrd" + }) + ); + } +} diff --git a/nodedb-crs/src/method/laea.rs b/nodedb-crs/src/method/laea.rs new file mode 100644 index 000000000..faddc4888 --- /dev/null +++ b/nodedb-crs/src/method/laea.rs @@ -0,0 +1,573 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Lambert Azimuthal Equal Area, EPSG methods 9820 (ellipsoidal) and 1027 +//! (spherical), PROJ `laea`. +//! +//! Follows PROJ 9.8.1 `src/projections/laea.cpp` (Snyder 1987 pp. 182–190, +//! eqs. 24-2 to 24-29; IOGP Guidance Note 7-2 §3.6.2), with its polar, +//! equatorial and oblique aspects. + +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::authalic::Authalic; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `EPS10`, radians. +const EPS10: f64 = 1e-10; + +/// q below which a polar forward lands on the origin, PROJ `laea_e_forward`. +const POLAR_Q_MIN: f64 = 1e-15; + +/// Largest absolute latitude, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Defining parameters of one Lambert Azimuthal Equal Area projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct LaeaParams { + /// Latitude of natural origin φ0, degrees (`+lat_0`). + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees (`+lon_0`). + pub lon0_deg: f64, + /// False easting, metres (`+x_0`). + pub false_easting: f64, + /// False northing, metres (`+y_0`). + pub false_northing: f64, +} + +impl LaeaParams { + /// Read from PROJ-string parameters. Every key defaults to 0 as in PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=laea +lat_0={} +lon_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// Aspect of the projection, from φ0. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +enum Mode { + NorthPole, + SouthPole, + Equatorial, + Oblique, +} + +/// Lambert Azimuthal Equal Area with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct LambertAzimuthalEqualArea { + params: LaeaParams, + a: f64, + lon0: f64, + phi0: f64, + mode: Mode, + /// Authalic conversion; `None` on a sphere. + auth: Option, + /// sin and cos of the authalic (sphere: geodetic) origin latitude. + sinb1: f64, + cosb1: f64, + xmf: f64, + ymf: f64, + /// Authalic radius over a, Rq. + rq: f64, + /// D, Snyder eq. 24-20. + dd: f64, +} + +impl LambertAzimuthalEqualArea { + pub fn new(p: &LaeaParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let t = phi0.abs(); + let mode = if (t - FRAC_PI_2).abs() < EPS10 { + if phi0 < 0.0 { + Mode::SouthPole + } else { + Mode::NorthPole + } + } else if t < EPS10 { + Mode::Equatorial + } else { + Mode::Oblique + }; + let mut out = Self { + params: *p, + a: ell.a, + lon0: p.lon0_deg.to_radians(), + phi0, + mode, + auth: None, + sinb1: 0.0, + cosb1: 0.0, + xmf: 0.0, + ymf: 0.0, + rq: 0.0, + dd: 0.0, + }; + if ell.is_sphere() { + if mode == Mode::Oblique { + (out.sinb1, out.cosb1) = phi0.sin_cos(); + } + return out; + } + let es = ell.e2(); + let auth = Authalic::new(es); + let qp = auth.qp(); + match mode { + Mode::NorthPole | Mode::SouthPole => out.dd = 1.0, + Mode::Equatorial => { + out.rq = (0.5 * qp).sqrt(); + out.dd = 1.0 / out.rq; + out.xmf = 1.0; + out.ymf = 0.5 * qp; + } + Mode::Oblique => { + out.rq = (0.5 * qp).sqrt(); + let (sinphi, cosphi) = phi0.sin_cos(); + (out.sinb1, out.cosb1) = auth.to_authalic(phi0).sin_cos(); + out.dd = cosphi / ((1.0 - es * sinphi * sinphi).sqrt() * out.rq * out.cosb1); + out.ymf = out.rq / out.dd; + out.xmf = out.rq * out.dd; + } + } + out.auth = Some(auth); + out + } + + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let (x, y) = match &self.auth { + Some(a) => self.e_forward(a, lam, phi)?, + None => self.s_forward(lam, phi)?, + }; + Ok(( + self.params.false_easting + self.a * x, + self.params.false_northing + self.a * y, + )) + } + + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + let (lam, phi) = match &self.auth { + Some(a) => self.e_inverse(a, x, y)?, + None => self.s_inverse(x, y)?, + }; + Ok((wrap_pi(lam + self.lon0), phi)) + } + + /// Ellipsoidal forward, PROJ `laea_e_forward`. + fn e_forward(&self, auth: &Authalic, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let (sinlam, coslam) = lam.sin_cos(); + let xi = auth.to_authalic(phi); + let (sinb, cosb) = xi.sin_cos(); + let qp = auth.qp(); + let mut q = sinb * qp; + let b = match self.mode { + Mode::Oblique => 1.0 + self.sinb1 * sinb + self.cosb1 * cosb * coslam, + Mode::Equatorial => 1.0 + cosb * coslam, + Mode::NorthPole => { + q = qp - q; + FRAC_PI_2 + phi + } + Mode::SouthPole => { + q += qp; + phi - FRAC_PI_2 + } + }; + if b.abs() < EPS10 { + return Err(DomainReason::Antipode); + } + Ok(match self.mode { + Mode::Oblique => { + let b = (2.0 / b).sqrt(); + ( + self.xmf * b * cosb * sinlam, + self.ymf * b * (self.cosb1 * sinb - self.sinb1 * cosb * coslam), + ) + } + Mode::Equatorial => { + let b = (2.0 / (1.0 + cosb * coslam)).sqrt(); + (self.xmf * b * cosb * sinlam, b * sinb * self.ymf) + } + Mode::NorthPole | Mode::SouthPole => { + if q >= POLAR_Q_MIN { + let b = q.sqrt(); + let y = if self.mode == Mode::SouthPole { b } else { -b }; + (b * sinlam, coslam * y) + } else { + (0.0, 0.0) + } + } + }) + } + + /// Spherical forward, PROJ `laea_s_forward`. + fn s_forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let (sinphi, cosphi) = phi.sin_cos(); + let (sinlam, mut coslam) = lam.sin_cos(); + match self.mode { + Mode::Equatorial | Mode::Oblique => { + let denom = if self.mode == Mode::Equatorial { + 1.0 + cosphi * coslam + } else { + 1.0 + self.sinb1 * sinphi + self.cosb1 * cosphi * coslam + }; + if denom <= EPS10 { + return Err(DomainReason::Antipode); + } + let k = (2.0 / denom).sqrt(); + let y = if self.mode == Mode::Equatorial { + sinphi + } else { + self.cosb1 * sinphi - self.sinb1 * cosphi * coslam + }; + Ok((k * cosphi * sinlam, k * y)) + } + Mode::NorthPole | Mode::SouthPole => { + if self.mode == Mode::NorthPole { + coslam = -coslam; + } + if (phi + self.phi0).abs() < EPS10 { + return Err(DomainReason::Antipode); + } + let t = FRAC_PI_4 - phi * 0.5; + let r = 2.0 + * if self.mode == Mode::SouthPole { + t.cos() + } else { + t.sin() + }; + Ok((r * sinlam, r * coslam)) + } + } + } + + /// Ellipsoidal inverse, PROJ `laea_e_inverse`. + fn e_inverse(&self, auth: &Authalic, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let qp = auth.qp(); + let (mut x, mut y) = (x, y); + let ab = match self.mode { + Mode::Equatorial | Mode::Oblique => { + x /= self.dd; + y *= self.dd; + let rho = x.hypot(y); + if rho < EPS10 { + return Ok((0.0, self.phi0)); + } + let asin_arg = 0.5 * rho / self.rq; + if asin_arg > 1.0 { + return Err(DomainReason::OutsideProjection); + } + let (s_ce, c_ce) = (2.0 * asin_arg.asin()).sin_cos(); + x *= s_ce; + if self.mode == Mode::Oblique { + let ab = c_ce * self.sinb1 + y * s_ce * self.cosb1 / rho; + y = rho * self.cosb1 * c_ce - y * self.sinb1 * s_ce; + ab + } else { + let ab = y * s_ce / rho; + y = rho * c_ce; + ab + } + } + Mode::NorthPole | Mode::SouthPole => { + if self.mode == Mode::NorthPole { + y = -y; + } + let q = x * x + y * y; + if q == 0.0 { + return Ok((0.0, self.phi0)); + } + let ab = 1.0 - q / qp; + if self.mode == Mode::SouthPole { + -ab + } else { + ab + } + } + }; + if ab.abs() > 1.0 { + return Err(DomainReason::OutsideProjection); + } + Ok((x.atan2(y), auth.from_authalic(ab.asin()))) + } + + /// Spherical inverse, PROJ `laea_s_inverse`. + fn s_inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let (mut x, mut y) = (x, y); + let rh = x.hypot(y); + let half = rh * 0.5; + if half > 1.0 { + return Err(DomainReason::OutsideProjection); + } + let z = 2.0 * half.asin(); + let (sinz, cosz) = z.sin_cos(); + let phi = match self.mode { + Mode::Equatorial => { + let phi = if rh.abs() <= EPS10 { + 0.0 + } else { + (y * sinz / rh).asin() + }; + x *= sinz; + y = cosz * rh; + phi + } + Mode::Oblique => { + let phi = if rh.abs() <= EPS10 { + self.phi0 + } else { + (cosz * self.sinb1 + y * sinz * self.cosb1 / rh).asin() + }; + x *= sinz * self.cosb1; + y = (cosz - phi.sin() * self.sinb1) * rh; + phi + } + Mode::NorthPole => { + y = -y; + FRAC_PI_2 - z + } + Mode::SouthPole => z - FRAC_PI_2, + }; + let lam = if y == 0.0 && matches!(self.mode, Mode::Equatorial | Mode::Oblique) { + 0.0 + } else { + x.atan2(y) + }; + Ok((lam, phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn params(lat0_deg: f64, lon0_deg: f64, false_easting: f64, false_northing: f64) -> LaeaParams { + LaeaParams { + lat0_deg, + lon0_deg, + false_easting, + false_northing, + } + } + + fn check(p: &LaeaParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let laea = LambertAzimuthalEqualArea::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = laea.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = laea.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + /// GN 7-2 §3.6.2 example, ETRS89 / LAEA Europe (EPSG:3035): + /// φ = 50°N, λ = 5°E → E = 3 962 799.45 m, N = 2 999 718.85 m. + #[test] + fn gn7_2_etrs89_laea() { + let laea = LambertAzimuthalEqualArea::new( + ¶ms(52.0, 10.0, 4_321_000.0, 3_210_000.0), + &Ellipsoid::GRS80, + ); + let (x, y) = laea.forward(5f64.to_radians(), 50f64.to_radians()).unwrap(); + assert!( + (x - 3_962_799.45).abs() < 0.005 && (y - 2_999_718.85).abs() < 0.005, + "{x} {y}" + ); + let (lam, phi) = laea.inverse(3_962_799.45, 2_999_718.85).unwrap(); + assert!((lam.to_degrees() - 5.0).abs() < 1e-7 && (phi.to_degrees() - 50.0).abs() < 1e-7); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:3035 + /// `+proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80`. + #[test] + fn oblique_ellipsoid() { + check( + ¶ms(52.0, 10.0, 4_321_000.0, 3_210_000.0), + &Ellipsoid::GRS80, + OBLIQUE, + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:6931 + /// `+proj=laea +lat_0=90 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84`. + #[test] + fn north_polar_ellipsoid() { + check(¶ms(90.0, 0.0, 0.0, 0.0), &Ellipsoid::WGS84, NORTH_POLAR); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:6932 + /// `+proj=laea +lat_0=-90 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84`. + #[test] + fn south_polar_ellipsoid() { + check( + ¶ms(-90.0, 0.0, 0.0, 0.0), + &Ellipsoid::WGS84, + SOUTH_POLAR, + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=laea +lat_0=0 +lon_0=20 +ellps=WGS84`. + #[test] + fn equatorial_ellipsoid() { + check(¶ms(0.0, 20.0, 0.0, 0.0), &Ellipsoid::WGS84, EQUATORIAL); + } + + /// EPSG 1027 (spherical), PROJ 9.8.1 via pyproj 3.8.0, EPSG:3408 + /// `+proj=laea +lat_0=90 +lon_0=0 +x_0=0 +y_0=0 +R=6371228`. + #[test] + fn sphere_north_polar() { + check( + ¶ms(90.0, 0.0, 0.0, 0.0), + &Ellipsoid::sphere(6_371_228.0), + SPHERE_NORTH, + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:3409 + /// `+proj=laea +lat_0=-90 +lon_0=0 +x_0=0 +y_0=0 +R=6371228`. + #[test] + fn sphere_south_polar() { + check( + ¶ms(-90.0, 0.0, 0.0, 0.0), + &Ellipsoid::sphere(6_371_228.0), + SPHERE_SOUTH, + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=laea +lat_0=45 +lon_0=-100 +R=6370997`. + #[test] + fn sphere_oblique() { + check( + ¶ms(45.0, -100.0, 0.0, 0.0), + &Ellipsoid::sphere(6_370_997.0), + SPHERE_OBLIQUE, + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=laea +lat_0=0 +lon_0=0 +R=6370997`. + #[test] + fn sphere_equatorial() { + check( + ¶ms(0.0, 0.0, 0.0, 0.0), + &Ellipsoid::sphere(6_370_997.0), + SPHERE_EQUATORIAL, + ); + } + + // (lon, lat, x, y) reference points. + const OBLIQUE: &[[f64; 4]] = &[ + [5.0, 50.0, 3962799.4509550678, 2999718.853159564], + [-9.0, 38.7, 2676732.112534873, 1941329.0843069698], + [30.0, 60.0, 5422492.77496154, 4256803.184504329], + [10.0, 52.0, 4321000.0, 3210000.0], + [25.0, 35.0, 5695390.183788649, 1461721.553816132], + ]; + const NORTH_POLAR: &[[f64; 4]] = &[ + [0.0, 90.0, 0.0, 0.0], + [45.0, 60.0, 2340395.8490303955, -2340395.849030396], + [-120.0, 75.0, -1446478.9424851332, 835125.0068209164], + [170.0, 10.0, 1422897.3773335486, 8069652.027253477], + ]; + const SOUTH_POLAR: &[[f64; 4]] = &[ + [45.0, -60.0, 2340395.8490303955, 2340395.849030396], + [-120.0, -75.0, -1446478.9424851332, -835125.0068209164], + [170.0, -10.0, 1422897.3773335486, -8069652.027253477], + ]; + const EQUATORIAL: &[[f64; 4]] = &[ + [20.0, 0.0, 0.0, 0.0], + [50.0, 30.0, 2955093.6416210765, 3389407.875813428], + [-30.0, -45.0, -4058883.8196492754, -5263034.2804662995], + [100.0, 10.0, 8085103.626887971, 1437923.67613473], + ]; + const SPHERE_NORTH: &[[f64; 4]] = &[ + [45.0, 60.0, 2332031.3013027217, -2332031.3013027217], + [-120.0, 75.0, -1440394.4623998066, 831612.1306057742], + [170.0, 10.0, 1422298.8844147702, 8066257.80524404], + ]; + const SPHERE_SOUTH: &[[f64; 4]] = &[ + [45.0, -60.0, 2332031.301302723, 2332031.301302723], + [-120.0, -75.0, -1440394.462399806, -831612.1306057739], + ]; + const SPHERE_OBLIQUE: &[[f64; 4]] = &[ + [-120.0, 35.0, -1807736.3959958896, -895049.1532893647], + [-75.0, 45.0, 1926581.688418818, 302014.4119897752], + [10.0, 10.0, 8865066.189534225, 3457815.856604664], + ]; + const SPHERE_EQUATORIAL: &[[f64; 4]] = &[ + [0.0, 0.0, 0.0, 0.0], + [30.0, 30.0, 2949198.539095313, 3405441.1408806597], + [-120.0, -45.0, -6862331.619017425, -7923938.015016379], + [89.0, 1.0, 8929633.072795173, 155891.06803553604], + ]; + + #[test] + fn antipode_is_out_of_domain() { + let laea = LambertAzimuthalEqualArea::new(¶ms(90.0, 0.0, 0.0, 0.0), &Ellipsoid::WGS84); + assert_eq!(laea.forward(0.0, -FRAC_PI_2), Err(DomainReason::Antipode)); + let laea = + LambertAzimuthalEqualArea::new(¶ms(0.0, 0.0, 0.0, 0.0), &Ellipsoid::sphere(1.0)); + assert_eq!( + laea.forward(core::f64::consts::PI, 0.0), + Err(DomainReason::Antipode) + ); + assert_eq!(laea.inverse(3.0, 0.0), Err(DomainReason::OutsideProjection)); + } + + #[test] + fn parses_and_writes() { + let p = ProjParams::tokenize("+proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000") + .unwrap(); + let l = LaeaParams::from_proj(&p).unwrap(); + let mut s = String::new(); + l.write_proj(&mut s); + assert_eq!( + s, + " +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000" + ); + let bad = ProjParams::tokenize("+proj=laea +lat_0=91").unwrap(); + assert!(LaeaParams::from_proj(&bad).is_err()); + } +} diff --git a/nodedb-crs/src/method/lcc.rs b/nodedb-crs/src/method/lcc.rs new file mode 100644 index 000000000..fc82e2dc8 --- /dev/null +++ b/nodedb-crs/src/method/lcc.rs @@ -0,0 +1,401 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Lambert Conformal Conic, PROJ `lcc`. +//! +//! Covers EPSG methods 9801 (1SP), 9802 (2SP), 9803 (2SP Belgium) and 9826 +//! (West Orientated, which differs only in axis order). Follows PROJ 9.8.1 +//! `src/projections/lcc.cpp` and IOGP Guidance Note 7-2 §3.2.1. PROJ +//! expresses 9803 through adjusted standard parallels, so it needs no +//! special case here. + +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::conformal::{msfn, phi_from_ts, tsfn}; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `lcc.cpp` EPS10: tolerance in radians for poles and degenerate +/// parallels. +const EPS10: f64 = 1e-10; + +/// Largest absolute latitude, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Method name in parse errors. +const METHOD: &str = "lcc"; + +/// Defining parameters of one Lambert Conformal Conic projection. The 1SP +/// form has `lat2_deg == lat1_deg`. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct LccParams { + /// Latitude of the false origin φ0, degrees. + pub lat0_deg: f64, + /// Longitude of the false origin λ0, degrees. + pub lon0_deg: f64, + /// First standard parallel φ1, degrees. + pub lat1_deg: f64, + /// Second standard parallel φ2, degrees. Equal to φ1 for the 1SP form. + pub lat2_deg: f64, + /// Scale factor k0 (on φ1 for the 1SP form). + pub k0: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl LccParams { + /// Read from PROJ-string parameters. Without `+lat_2` the cone is + /// tangent at `+lat_1`, and `+lat_0` defaults to `+lat_1`, as in PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat1 = p.number("lat_1")?; + let lat2 = p.number("lat_2")?; + let (lat1_deg, lat2_deg, lat0_default) = match (lat1, lat2) { + (None, None) => { + return Err(CrsParseError::Missing { + key: "lat_1", + method: METHOD, + }); + } + (l1, Some(l2)) => (l1.unwrap_or(0.0), l2, 0.0), + (Some(l1), None) => (l1, l1, l1), + }; + let lat0_deg = p.number_or("lat_0", lat0_default)?; + if lat1_deg.abs() >= MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_1", &lat1_deg.to_string())); + } + if lat2_deg.abs() >= MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_2", &lat2_deg.to_string())); + } + if (lat1_deg + lat2_deg).to_radians().abs() < EPS10 { + return Err(CrsParseError::invalid("lat_2", &lat2_deg.to_string())); + } + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + let k0 = p.number_any(&["k_0", "k"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k_0", &k0.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + lat1_deg, + lat2_deg, + k0, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append ` +proj=lcc` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=lcc +lat_0={} +lon_0={} +lat_1={} +lat_2={} +k_0={} +x_0={} +y_0={}", + self.lat0_deg, + self.lon0_deg, + self.lat1_deg, + self.lat2_deg, + self.k0, + self.false_easting, + self.false_northing + ); + } +} + +/// A Lambert Conformal Conic projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct LambertConformalConic { + /// λ0 in radians. + lon0: f64, + e: f64, + sphere: bool, + /// Cone constant n. + n: f64, + /// a · k0 · F, the radius scale of the cone. + c: f64, + /// a · k0 · ρ0, the radius at the false origin. + rho0: f64, + false_easting: f64, + false_northing: f64, +} + +impl LambertConformalConic { + pub fn new(p: &LccParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let phi1 = p.lat1_deg.to_radians(); + let phi2 = p.lat2_deg.to_radians(); + let (sin1, cos1) = phi1.sin_cos(); + let secant = (phi1 - phi2).abs() >= EPS10; + let at_pole = (phi0.abs() - FRAC_PI_2).abs() < EPS10; + let sphere = ell.is_sphere(); + let (e, e2) = (ell.e(), ell.e2()); + let (n, c, rho0) = if sphere { + // PROJ lcc.cpp spherical set-up, Snyder 15-3 and 15-2. + let n = if secant { + (cos1 / phi2.cos()).ln() + / ((FRAC_PI_4 + 0.5 * phi2).tan() / (FRAC_PI_4 + 0.5 * phi1).tan()).ln() + } else { + sin1 + }; + let c = cos1 * (FRAC_PI_4 + 0.5 * phi1).tan().powf(n) / n; + let rho0 = if at_pole { + 0.0 + } else { + c * (FRAC_PI_4 + 0.5 * phi0).tan().powf(-n) + }; + (n, c, rho0) + } else { + // GN 7-2 §3.2.1.1, Snyder 15-8 to 15-10. + let m1 = msfn(sin1, cos1, e2); + let t1 = tsfn(phi1, sin1, e); + let n = if secant { + let sin2 = phi2.sin(); + (m1 / msfn(sin2, phi2.cos(), e2)).ln() / (t1 / tsfn(phi2, sin2, e)).ln() + } else { + sin1 + }; + let c = m1 * t1.powf(-n) / n; + let rho0 = if at_pole { + 0.0 + } else { + c * tsfn(phi0, phi0.sin(), e).powf(n) + }; + (n, c, rho0) + }; + let scale = ell.a * p.k0; + Self { + lon0: p.lon0_deg.to_radians(), + e, + sphere, + n, + c: c * scale, + rho0: rho0 * scale, + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let rho = if (phi.abs() - FRAC_PI_2).abs() < EPS10 { + // The pole opposite the cone apex maps to infinity. + if phi * self.n <= 0.0 { + return Err(DomainReason::Singularity); + } + 0.0 + } else if self.sphere { + self.c * (FRAC_PI_4 + 0.5 * phi).tan().powf(-self.n) + } else { + self.c * tsfn(phi, phi.sin(), self.e).powf(self.n) + }; + let theta = wrap_pi(lam - self.lon0) * self.n; + let (sin_t, cos_t) = theta.sin_cos(); + Ok(( + self.false_easting + rho * sin_t, + self.false_northing + self.rho0 - rho * cos_t, + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let mut dx = x - self.false_easting; + let mut dy = self.rho0 - (y - self.false_northing); + let mut rho = dx.hypot(dy); + if rho == 0.0 { + let phi = if self.n > 0.0 { FRAC_PI_2 } else { -FRAC_PI_2 }; + return Ok((wrap_pi(self.lon0), phi)); + } + if self.n < 0.0 { + rho = -rho; + dx = -dx; + dy = -dy; + } + let phi = if self.sphere { + 2.0 * (self.c / rho).powf(1.0 / self.n).atan() - FRAC_PI_2 + } else { + phi_from_ts((rho / self.c).powf(1.0 / self.n), self.e)? + }; + let lam = dx.atan2(dy) / self.n; + Ok((wrap_pi(self.lon0 + lam), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + /// Metres per US survey foot. + const US_FT: f64 = 1200.0 / 3937.0; + + fn build(text: &str, ell: Ellipsoid) -> LambertConformalConic { + let p = LccParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + LambertConformalConic::new(&p, &ell) + } + + fn check(lcc: &LambertConformalConic, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = lcc.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = lcc.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat}): got ({}, {})", + lam.to_degrees(), + phi.to_degrees() + ); + } + + fn dms(d: f64, m: f64, s: f64) -> f64 { + d + m / 60.0 + s / 3600.0 + } + + /// GN 7-2 §3.2.1.1 example, EPSG 9801: JAD69 / Jamaica National Grid. + /// GN 7-2 prints E = 255966.58 m, N = 142493.51 m. + #[test] + fn gn_9801_jamaica() { + let lcc = build( + "+proj=lcc +lat_1=18 +lat_0=18 +lon_0=-77 +k_0=1 +x_0=250000 +y_0=150000", + Ellipsoid::CLARKE_1866, + ); + let lon = -dms(76.0, 56.0, 37.26); + let lat = dms(17.0, 55.0, 55.80); + let (x, y) = lcc.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!((x - 255_966.58).abs() < 0.005 && (y - 142_493.51).abs() < 0.005); + check(&lcc, lon, lat, [255_966.581_8, 142_493.511_0]); + } + + /// GN 7-2 §3.2.1.1 example, EPSG 9802: NAD27 / Texas South Central. + /// GN 7-2 prints E = 2963503.91 ftUS, N = 254759.80 ftUS. + #[test] + fn gn_9802_texas() { + let lcc = build( + "+proj=lcc +lat_0=27.8333333333333 +lon_0=-99 +lat_1=28.3833333333333 \ + +lat_2=30.2833333333333 +x_0=609601.218950438 +y_0=0", + Ellipsoid::CLARKE_1866, + ); + let (x, y) = lcc + .forward((-96f64).to_radians(), 28.5f64.to_radians()) + .unwrap(); + assert!((x / US_FT - 2_963_503.91).abs() < 0.01); + assert!((y / US_FT - 254_759.80).abs() < 0.01); + check(&lcc, -96.0, 28.5, [903_277.798_9, 77_650.942_5]); + } + + /// EPSG 9803, Belgian Lambert 72 (EPSG:31370) as PROJ writes it. GN 7-2 + /// §3.2.1.2 prints E = 251763.20, N = 153034.13 for this point. PROJ's + /// adjusted parallels give N 4.6 cm higher, and the reference is PROJ. + #[test] + fn belgium_72_matches_proj() { + let lcc = build( + "+proj=lcc +lat_0=90 +lon_0=4.36748666666667 +lat_1=51.1666672333333 \ + +lat_2=49.8333339 +x_0=150000.013 +y_0=5400088.438", + Ellipsoid::INTERNATIONAL_1924, + ); + check( + &lcc, + dms(5.0, 48.0, 26.533), + dms(50.0, 40.0, 46.461), + [251_763.205_0, 153_034.175_7], + ); + check(&lcc, 4.3, 50.8, [145_242.297_7, 165_446.068_1]); + check(&lcc, 2.6, 51.3, [26_730.420_1, 222_536.757_0]); + check(&lcc, 6.3, 49.6, [289_697.742_3, 33_782.385_3]); + } + + /// pyproj 3.8.0 / PROJ 9.8.1, "+proj=lcc +lat_0=46.5 +lon_0=3 +lat_1=49 + /// +lat_2=44 +x_0=700000 +y_0=6600000 +ellps=GRS80" (Lambert-93). + #[test] + fn lambert_93() { + let lcc = build( + "+proj=lcc +lat_0=46.5 +lon_0=3 +lat_1=49 +lat_2=44 +x_0=700000 +y_0=6600000", + Ellipsoid::GRS80, + ); + check(&lcc, 2.35, 48.85, [652_301.564_8, 6_861_302.725_9]); + check(&lcc, -4.5, 48.4, [145_709.788_9, 6_837_422.082_6]); + check(&lcc, 7.7, 43.7, [1_078_729.648_2, 6_300_271.150_7]); + } + + /// pyproj, "+proj=lcc +lat_1=-30 +lat_0=-30 +lon_0=25 +k_0=0.9995 + /// +x_0=1000000 +y_0=2000000 +ellps=WGS84": a southern cone, n < 0. + #[test] + fn southern_1sp_with_scale() { + let lcc = build( + "+proj=lcc +lat_1=-30 +lat_0=-30 +lon_0=25 +k_0=0.9995 +x_0=1000000 +y_0=2000000", + Ellipsoid::WGS84, + ); + check(&lcc, 20.0, -25.0, [493_776.987_9, 2_543_428.162_0]); + check(&lcc, 30.0, -35.0, [1_457_832.233_9, 1_435_097.123_5]); + } + + /// pyproj, "+proj=lcc +lat_1=33 +lat_2=45 +lat_0=23 +lon_0=-96 + /// +R=6370997". + #[test] + fn sphere_secant() { + let lcc = build( + "+proj=lcc +lat_1=33 +lat_2=45 +lat_0=23 +lon_0=-96 +x_0=0 +y_0=0", + Ellipsoid::sphere(6_370_997.0), + ); + check(&lcc, -75.0, 40.0, [1_763_412.764_0, 2_107_212.051_0]); + check(&lcc, -120.0, 35.0, [-2_154_255.795_6, 1_635_373.287_8]); + } + + #[test] + fn opposite_pole_is_singular() { + let lcc = build( + "+proj=lcc +lat_1=49 +lat_2=44 +lat_0=46.5", + Ellipsoid::GRS80, + ); + assert_eq!(lcc.forward(0.0, -FRAC_PI_2), Err(DomainReason::Singularity)); + assert!(lcc.forward(0.0, FRAC_PI_2).is_ok()); + } + + #[test] + fn parse_defaults_and_round_trip() { + let p = LccParams::from_proj(&ProjParams::tokenize("+proj=lcc +lat_1=20 +k=0.99").unwrap()) + .unwrap(); + assert_eq!((p.lat0_deg, p.lat2_deg, p.k0), (20.0, 20.0, 0.99)); + let mut out = String::new(); + p.write_proj(&mut out); + let again = LccParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(); + assert_eq!(again, p, "{out}"); + assert_eq!( + LccParams::from_proj(&ProjParams::tokenize("+proj=lcc +lat_0=10").unwrap()), + Err(CrsParseError::Missing { + key: "lat_1", + method: "lcc" + }) + ); + assert!( + LccParams::from_proj(&ProjParams::tokenize("+proj=lcc +lat_1=10 +lat_2=-10").unwrap()) + .is_err() + ); + assert!( + LccParams::from_proj(&ProjParams::tokenize("+proj=lcc +lat_1=90").unwrap()).is_err() + ); + } +} diff --git a/nodedb-crs/src/method/merc.rs b/nodedb-crs/src/method/merc.rs new file mode 100644 index 000000000..150ddeeef --- /dev/null +++ b/nodedb-crs/src/method/merc.rs @@ -0,0 +1,268 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Mercator, PROJ `merc`. +//! +//! Covers EPSG methods 9804 (variant A, scale factor k0) and 9805 (variant +//! B, standard parallel). Follows PROJ 9.8.1 `src/projections/merc.cpp` and +//! IOGP Guidance Note 7-2 §3.5.1, with the spherical branch PROJ uses for +//! `+R` definitions. + +use core::f64::consts::FRAC_PI_2; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::conformal::{msfn, tanphi_from_sinhpsi}; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Tolerance in radians for a latitude at a pole, where y is infinite. +const POLE_EPS: f64 = 1e-10; + +/// Largest absolute standard parallel, degrees, exclusive (PROJ merc.cpp). +const MAX_LAT_TS_DEG: f64 = 90.0; + +/// Defining parameters of one Mercator projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct MercParams { + /// Longitude of natural origin λ0, degrees. + pub lon0_deg: f64, + /// Scale factor on the equator (variant A). Ignored when `lat_ts_deg` + /// is set, as in PROJ. + pub k0: f64, + /// Latitude of the standard parallel φ1, degrees (variant B). The scale + /// factor then follows from it. + pub lat_ts_deg: Option, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl MercParams { + /// Read from PROJ-string parameters. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat_ts_deg = p.number("lat_ts")?; + if let Some(lat_ts) = lat_ts_deg + && lat_ts.abs() >= MAX_LAT_TS_DEG + { + return Err(CrsParseError::invalid("lat_ts", &lat_ts.to_string())); + } + let k0 = p.number_any(&["k_0", "k"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k_0", &k0.to_string())); + } + Ok(Self { + lon0_deg: p.number_or("lon_0", 0.0)?, + k0, + lat_ts_deg, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append ` +proj=merc` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + out.push_str(" +proj=merc"); + let _ = match self.lat_ts_deg { + Some(lat_ts) => write!(out, " +lat_ts={lat_ts}"), + None => write!(out, " +k_0={}", self.k0), + }; + let _ = write!( + out, + " +lon_0={} +x_0={} +y_0={}", + self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// A Mercator projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Mercator { + /// λ0 in radians. + lon0: f64, + e: f64, + sphere: bool, + /// a · k0. + ak0: f64, + false_easting: f64, + false_northing: f64, +} + +impl Mercator { + pub fn new(p: &MercParams, ell: &Ellipsoid) -> Self { + let sphere = ell.is_sphere(); + // GN 7-2 §3.5.1.2: k0 = cos φ1 / sqrt(1 − e² sin² φ1) for variant B. + let k0 = match p.lat_ts_deg { + Some(lat_ts) => { + let (s, c) = lat_ts.abs().to_radians().sin_cos(); + if sphere { c } else { msfn(s, c, ell.e2()) } + } + None => p.k0, + }; + Self { + lon0: p.lon0_deg.to_radians(), + e: ell.e(), + sphere, + ak0: ell.a * k0, + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + if (phi.abs() - FRAC_PI_2).abs() < POLE_EPS { + return Err(DomainReason::Singularity); + } + let x = self.ak0 * wrap_pi(lam - self.lon0); + // ψ = asinh(tan φ) − e atanh(e sin φ), PROJ merc_e_forward. + let psi = if self.sphere { + phi.tan().asinh() + } else { + let (s, c) = phi.sin_cos(); + (s / c).asinh() - self.e * (self.e * s).atanh() + }; + Ok((self.false_easting + x, self.false_northing + self.ak0 * psi)) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let sinh_psi = ((y - self.false_northing) / self.ak0).sinh(); + let phi = if self.sphere { + sinh_psi.atan() + } else { + tanphi_from_sinhpsi(sinh_psi, self.e)?.atan() + }; + let lam = (x - self.false_easting) / self.ak0; + Ok((wrap_pi(self.lon0 + lam), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + fn build(text: &str, ell: Ellipsoid) -> Mercator { + let p = MercParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + Mercator::new(&p, &ell) + } + + fn check(m: &Mercator, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = m.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat}): got ({}, {})", + lam.to_degrees(), + phi.to_degrees() + ); + } + + /// GN 7-2 §3.5.1.1 example, EPSG 9804: Batavia / NEIEZ. GN 7-2 prints + /// E = 5009726.58 m, N = 569150.82 m. + #[test] + fn gn_9804_batavia() { + let m = build( + "+proj=merc +lon_0=110 +k=0.997 +x_0=3900000 +y_0=900000", + Ellipsoid::BESSEL_1841, + ); + let (x, y) = m + .forward(120f64.to_radians(), (-3f64).to_radians()) + .unwrap(); + assert!((x - 5_009_726.58).abs() < 0.005 && (y - 569_150.82).abs() < 0.005); + check(&m, 120.0, -3.0, [5_009_726.583_3, 569_150.818_6]); + check(&m, 100.0, 5.0, [2_790_273.416_7, 1_451_870.161_7]); + } + + /// GN 7-2 §3.5.1.2 example, EPSG 9805: Pulkovo 1942 / Caspian Sea + /// Mercator. GN 7-2 prints E = 165704.29 m, N = 5171848.07 m. + #[test] + fn gn_9805_caspian() { + let m = build( + "+proj=merc +lat_ts=42 +lon_0=51 +x_0=0 +y_0=0", + Ellipsoid::KRASSOVSKY, + ); + let (x, y) = m.forward(53f64.to_radians(), 53f64.to_radians()).unwrap(); + assert!((x - 165_704.29).abs() < 0.005 && (y - 5_171_848.07).abs() < 0.005); + check(&m, 53.0, 53.0, [165_704.293_3, 5_171_848.072_9]); + check(&m, 47.0, 38.0, [-331_408.586_6, 3_388_766.544_7]); + } + + /// pyproj 3.8.0 / PROJ 9.8.1, "+proj=merc +lat_ts=-41 +lon_0=100 + /// +datum=WGS84" (EPSG:3994). Longitudes cross the antimeridian. + #[test] + fn southern_standard_parallel_across_antimeridian() { + let m = build( + "+proj=merc +lat_ts=-41 +lon_0=100 +x_0=0 +y_0=0", + Ellipsoid::WGS84, + ); + check(&m, 175.0, -41.0, [6_310_138.883_6, -3_767_131.992_2]); + check(&m, -170.0, -30.0, [7_572_166.660_3, -2_631_835.819_7]); + } + + /// pyproj, "+proj=merc +lon_0=0 +k=1 +datum=WGS84" (EPSG:3395). + #[test] + fn world_mercator() { + let m = build("+proj=merc +lon_0=0 +k=1 +x_0=0 +y_0=0", Ellipsoid::WGS84); + check(&m, 101.7117, 3.1579, [11_322_494.651_7, 349_361.795_7]); + check(&m, -60.0, -75.0, [-6_679_169.447_6, -12_890_914.137_3]); + } + + /// pyproj, "+proj=merc +lat_ts=20 +lon_0=10 +R=6371000". + #[test] + fn sphere_with_standard_parallel() { + let m = build( + "+proj=merc +lat_ts=20 +lon_0=10", + Ellipsoid::sphere(6_371_000.0), + ); + check(&m, 30.0, 60.0, [2_089_781.040_7, 7_884_339.419_9]); + check(&m, -10.0, -40.0, [-2_089_781.040_7, -4_567_373.533_8]); + } + + #[test] + fn pole_is_singular() { + let m = build("+proj=merc", Ellipsoid::WGS84); + assert_eq!(m.forward(0.0, FRAC_PI_2), Err(DomainReason::Singularity)); + } + + #[test] + fn parse_and_round_trip() { + for text in [ + "+proj=merc +lat_ts=-41 +lon_0=100", + "+proj=merc +lon_0=110 +k=0.997 +x_0=3900000", + ] { + let p = MercParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + let mut out = String::new(); + p.write_proj(&mut out); + let again = MercParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(); + assert_eq!(again, p, "{out}"); + } + assert!( + MercParams::from_proj(&ProjParams::tokenize("+proj=merc +lat_ts=90").unwrap()).is_err() + ); + assert!(MercParams::from_proj(&ProjParams::tokenize("+proj=merc +k=0").unwrap()).is_err()); + } +} diff --git a/nodedb-crs/src/method/meridian.rs b/nodedb-crs/src/method/meridian.rs new file mode 100644 index 000000000..17bf1fb2a --- /dev/null +++ b/nodedb-crs/src/method/meridian.rs @@ -0,0 +1,189 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Meridian arc length and its inverse, as PROJ `pj_enfn` / `pj_mlfn` / +//! `pj_inv_mlfn` (PROJ 9.8.1 `src/mlfn.cpp`, `src/latitudes.cpp`). +//! +//! The arc is A · μ, with A the rectifying radius over a and μ the +//! rectifying latitude. Both conversions φ ↔ μ are Fourier series whose +//! coefficients are Taylor series in the third flattening n to order 6 +//! (C. F. F. Karney, "On auxiliary latitudes", Survey Review 56 (2024), +//! eqs. A1–A28). Full double precision for |f| ≤ 1/150. + +use crate::error::DomainReason; + +/// Number of Fourier terms, PROJ `AuxLat::ORDER`. +pub(crate) const AUX_ORDER: usize = 6; + +/// Karney 2024 matrix C[μ,φ] (φ → μ), even powers of n only, as PROJ +/// `pj_auxlat_coeffs`. +const C_MU_PHI: [f64; 12] = [ + -3.0 / 2.0, + 9.0 / 16.0, + -3.0 / 32.0, + 15.0 / 16.0, + -15.0 / 32.0, + 135.0 / 2048.0, + -35.0 / 48.0, + 105.0 / 256.0, + 315.0 / 512.0, + -189.0 / 512.0, + -693.0 / 1280.0, + 1001.0 / 2048.0, +]; + +/// Karney 2024 matrix C[φ,μ] (μ → φ), even powers of n only. +const C_PHI_MU: [f64; 12] = [ + 3.0 / 2.0, + -27.0 / 32.0, + 269.0 / 512.0, + 21.0 / 16.0, + -55.0 / 32.0, + 6759.0 / 4096.0, + 151.0 / 96.0, + -417.0 / 128.0, + 1097.0 / 512.0, + -15543.0 / 2560.0, + 8011.0 / 2560.0, + 293_393.0 / 61440.0, +]; + +/// Rectifying-radius series in n², ((2k − 3)!! / (2k)!!)², PROJ +/// `pj_rectifying_radius`. +const RECTIFYING_RADIUS: [f64; 4] = [1.0, 1.0 / 4.0, 1.0 / 64.0, 1.0 / 256.0]; + +/// Meridian arc length from the equator (PROJ pj_enfn / pj_mlfn / pj_inv_mlfn). +#[derive(Debug, Clone, PartialEq)] +pub struct MeridianArc { + /// Rectifying radius over a. + radius: f64, + /// φ → μ Fourier coefficients. + to_mu: [f64; AUX_ORDER], + /// μ → φ Fourier coefficients. + from_mu: [f64; AUX_ORDER], +} + +impl MeridianArc { + pub fn new(e2: f64) -> Self { + let n = third_flattening(e2); + Self { + radius: polyval(n * n, &RECTIFYING_RADIUS) / (1.0 + n), + to_mu: even_series(n, &C_MU_PHI), + from_mu: even_series(n, &C_PHI_MU), + } + } + + /// Arc length in units of the semi-major axis. + pub fn arc(&self, phi: f64, sinphi: f64, cosphi: f64) -> f64 { + self.radius * (phi + clenshaw(sinphi, cosphi, &self.to_mu)) + } + + /// Latitude of an arc length. Err(NoConvergence) if it fails. + /// + /// The series inverse is closed-form, so the only failure is a + /// non-finite input. + pub fn inverse(&self, arc: f64) -> Result { + let mu = arc / self.radius; + let phi = mu + clenshaw(mu.sin(), mu.cos(), &self.from_mu); + if phi.is_finite() { + Ok(phi) + } else { + Err(DomainReason::NoConvergence) + } + } +} + +/// Third flattening n = (a − b)/(a + b) from e², written e² / (1 + √(1 − e²))² +/// to keep precision for small e². +pub(crate) fn third_flattening(e2: f64) -> f64 { + let s = 1.0 + (1.0 - e2).sqrt(); + e2 / (s * s) +} + +/// Σ p[i] xⁱ by Horner's method, PROJ `pj_polyval`. +pub(crate) fn polyval(x: f64, p: &[f64]) -> f64 { + match p.split_last() { + None => 0.0, + Some((last, rest)) => rest.iter().rev().fold(*last, |y, c| y * x + c), + } +} + +/// Fourier coefficients F[l] = n^(l+1) · P_l(n²) for a conversion among φ +/// and μ, PROJ `pj_auxlat_coeffs` (the n² branch). +fn even_series(n: f64, coeffs: &[f64; 12]) -> [f64; AUX_ORDER] { + let n2 = n * n; + let mut out = [0.0; AUX_ORDER]; + let mut d = n; + let mut o = 0; + for (l, slot) in out.iter_mut().enumerate() { + let m = (AUX_ORDER - l - 1) / 2; + *slot = d * polyval(n2, &coeffs[o..=o + m]); + o += m + 1; + d *= n; + } + out +} + +/// Fourier coefficients F[l] = n^(l+1) · P_l(n) for a conversion that +/// involves the authalic or conformal latitude, PROJ `pj_auxlat_coeffs`. +pub(crate) fn full_series(n: f64, coeffs: &[f64; 21]) -> [f64; AUX_ORDER] { + let mut out = [0.0; AUX_ORDER]; + let mut d = n; + let mut o = 0; + for (l, slot) in out.iter_mut().enumerate() { + let m = AUX_ORDER - l - 1; + *slot = d * polyval(n, &coeffs[o..=o + m]); + o += m + 1; + d *= n; + } + out +} + +/// Σ F[k] sin((2k + 2) ζ) by Clenshaw summation, PROJ `pj_clenshaw`. +pub(crate) fn clenshaw(szeta: f64, czeta: f64, f: &[f64; AUX_ORDER]) -> f64 { + let x = 2.0 * (czeta - szeta) * (czeta + szeta); + let (mut u0, mut u1) = (0.0, 0.0); + for c in f.iter().rev() { + let t = x * u0 - u1 + c; + u1 = u0; + u0 = t; + } + 2.0 * szeta * czeta * u0 +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::def::Ellipsoid; + use core::f64::consts::FRAC_PI_2; + + /// GRS 80 quarter meridian, 10 001 965.729 m (Moritz, Geodetic Reference + /// System 1980, Bulletin Géodésique 54 (1980)). + const GRS80_QUARTER_MERIDIAN_M: f64 = 10_001_965.729_3; + + #[test] + fn grs80_quarter_meridian() { + let e = Ellipsoid::GRS80; + let m = MeridianArc::new(e.e2()); + let q = m.arc(FRAC_PI_2, 1.0, 0.0) * e.a; + assert!((q - GRS80_QUARTER_MERIDIAN_M).abs() < 1e-3, "{q}"); + } + + #[test] + fn inverse_recovers_latitude() { + let m = MeridianArc::new(Ellipsoid::WGS84.e2()); + for deg in [-89.9, -45.0, -3.0, 0.0, 2.121_679_744, 33.3, 80.0, 90.0] { + let phi = f64::to_radians(deg); + let s = m.arc(phi, phi.sin(), phi.cos()); + let back = m.inverse(s).unwrap(); + assert!((back - phi).abs() < 1e-15, "{deg}"); + } + } + + #[test] + fn sphere_arc_is_latitude() { + let m = MeridianArc::new(0.0); + assert_eq!(m.arc(0.3, 0.3f64.sin(), 0.3f64.cos()), 0.3); + assert_eq!(m.inverse(0.3), Ok(0.3)); + assert_eq!(m.inverse(f64::NAN), Err(DomainReason::NoConvergence)); + } +} diff --git a/nodedb-crs/src/method/mod.rs b/nodedb-crs/src/method/mod.rs new file mode 100644 index 000000000..0dc120913 --- /dev/null +++ b/nodedb-crs/src/method/mod.rs @@ -0,0 +1,58 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Map projection methods. + +pub mod aea; +pub mod aeqd; +pub mod angle; +pub mod authalic; +pub mod cass; +pub mod cea; +pub mod conformal; +pub mod eqc; +pub mod eqearth; +pub mod geodesic; +pub mod geos; +pub mod krovak; +pub mod labrd; +pub mod laea; +pub mod lcc; +pub mod merc; +pub mod meridian; +pub mod nzmg; +pub mod omerc; +pub mod poly; +pub mod projection; +pub mod projector; +pub mod sinu; +pub mod somerc; +pub mod stere; +pub mod sterea; +pub mod tmerc; +pub mod webmerc; + +pub use aea::{AeaParams, Albers}; +pub use aeqd::{AeqdParams, AzimuthalEquidistant}; +pub use cass::{CassParams, Cassini}; +pub use cea::{CeaParams, CylindricalEqualArea}; +pub use eqc::{EqcParams, EquidistantCylindrical}; +pub use eqearth::{EqEarthParams, EqualEarth}; +pub use geos::{GeosParams, GeostationarySatellite, SweepAxis}; +pub use krovak::{Krovak, KrovakParams}; +pub use labrd::{LabordeObliqueMercator, LabrdParams}; +pub use laea::{LaeaParams, LambertAzimuthalEqualArea}; +pub use lcc::{LambertConformalConic, LccParams}; +pub use merc::{MercParams, Mercator}; +pub use nzmg::{NewZealandMapGrid, NzmgParams}; +pub use omerc::{HomParams, HomVariant, HotineObliqueMercator, alpha_from_gamma, gamma_from_alpha}; +pub use poly::{PolyParams, Polyconic}; +pub use projection::ProjectionDef; +pub use projector::Projector; +pub use sinu::{SinuParams, Sinusoidal}; +pub use somerc::{SomercParams, SwissObliqueMercator}; +pub use stere::{StereParams, Stereographic}; +pub use sterea::{ObliqueStereographic, StereaParams}; +pub use tmerc::{ + TAU_NEWTON_MAX_ITERS, TAU_TOLERANCE, TM_MAX_LON_OFFSET_DEG, TmParams, TransverseMercator, +}; +pub use webmerc::{WebMercParams, WebMercator}; diff --git a/nodedb-crs/src/method/nzmg.rs b/nodedb-crs/src/method/nzmg.rs new file mode 100644 index 000000000..3bad2407e --- /dev/null +++ b/nodedb-crs/src/method/nzmg.rs @@ -0,0 +1,293 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! New Zealand Map Grid (EPSG 9811), by PROJ `src/projections/nzmg.cpp`. +//! +//! A complex-polynomial conformal projection fitted to the International +//! 1924 ellipsoid (Stirling, Technical Circular 1973/32; IOGP Guidance Note +//! 7-2 §3.4.1). PROJ fixes a = 6378388 m, φ0 = 41°S, λ0 = 173°E, FE = +//! 2510000 m and FN = 6023150 m, ignoring the PROJ-string values, and so +//! does this file. + +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// International 1924 semi-major axis, metres, as PROJ fixes it. +const NZMG_A: f64 = 6_378_388.0; + +/// Latitude of origin φ0, degrees. +pub const NZMG_LAT0_DEG: f64 = -41.0; + +/// Longitude of origin λ0, degrees. +pub const NZMG_LON0_DEG: f64 = 173.0; + +/// False easting, metres. +pub const NZMG_FALSE_EASTING: f64 = 2_510_000.0; + +/// False northing, metres. +pub const NZMG_FALSE_NORTHING: f64 = 6_023_150.0; + +/// Arc-seconds in one radian. +const ARCSEC_PER_RAD: f64 = 180.0 * 3600.0 / core::f64::consts::PI; + +/// Arc-seconds in one series unit: the series take δφ in 10⁵ arc-seconds. +const ARCSEC_PER_SERIES_UNIT: f64 = 1e5; + +/// Radians to series units (PROJ `RAD_TO_SEC5`). +const RAD_TO_SEC5: f64 = ARCSEC_PER_RAD / ARCSEC_PER_SERIES_UNIT; + +/// Series units to radians (PROJ `SEC5_TO_RAD`). +const SEC5_TO_RAD: f64 = ARCSEC_PER_SERIES_UNIT / ARCSEC_PER_RAD; + +/// Complex coefficients B1..B6 of the ζ → z polynomial (PROJ `bf`). +const BF: [(f64, f64); 6] = [ + (0.755_785_322_8, 0.0), + (0.249_204_646, 0.003_371_507), + (-0.001_541_739, 0.041_058_560), + (-0.101_629_07, 0.017_276_09), + (-0.266_234_89, -0.362_492_18), + (-0.687_098_3, -1.165_196_7), +]; + +/// Coefficients of the latitude → isometric latitude series (PROJ `tpsi`). +const TPSI: [f64; 10] = [ + 0.639_917_507_3, + -0.135_879_761_3, + 0.063_294_409, + -0.025_268_53, + 0.011_787_9, + -0.005_516_1, + 0.002_690_6, + -0.001_333, + 0.000_67, + -0.000_34, +]; + +/// Coefficients of the isometric latitude → latitude series (PROJ `tphi`). +const TPHI: [f64; 9] = [ + 1.562_701_424_3, + 0.518_540_639_8, + -0.033_330_98, + -0.105_290_6, + -0.036_859_4, + 0.007_317, + 0.012_20, + 0.003_94, + -0.001_3, +]; + +/// Newton step size, |Δre| + |Δim| in units of a, below which the inverse +/// stops (PROJ `EPSLN`). +const NEWTON_TOLERANCE: f64 = 1e-10; + +/// Newton iterations allowed (PROJ). +const NEWTON_MAX_ITERS: usize = 20; + +/// Defining parameters of the New Zealand Map Grid. [`NzmgParams::from_proj`] +/// always yields the fixed NZMG values, as PROJ does. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct NzmgParams { + /// Latitude of origin φ0, degrees. + pub lat0_deg: f64, + /// Longitude of origin λ0, degrees. + pub lon0_deg: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl NzmgParams { + /// The fixed NZMG parameters. + pub const NZMG: NzmgParams = NzmgParams { + lat0_deg: NZMG_LAT0_DEG, + lon0_deg: NZMG_LON0_DEG, + false_easting: NZMG_FALSE_EASTING, + false_northing: NZMG_FALSE_NORTHING, + }; + + /// Read from PROJ-string parameters. PROJ overrides `+lat_0`, `+lon_0`, + /// `+x_0` and `+y_0` with the NZMG values, so this returns + /// [`NzmgParams::NZMG`] for any input. + pub fn from_proj(_p: &ProjParams<'_>) -> Result { + Ok(Self::NZMG) + } + + /// Append the PROJ form of the defining parameters. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=nzmg +lat_0={} +lon_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// The New Zealand Map Grid with its origin prepared. +#[derive(Debug, Clone, PartialEq)] +pub struct NewZealandMapGrid { + params: NzmgParams, + /// φ0, radians. + lat0: f64, + /// λ0, radians. + lon0: f64, +} + +impl NewZealandMapGrid { + /// Prepare the origin. The ellipsoid is ignored: PROJ fixes a = 6378388 m. + pub fn new(p: &NzmgParams, _ell: &Ellipsoid) -> Self { + Self { + params: *p, + lat0: p.lat0_deg.to_radians(), + lon0: p.lon0_deg.to_radians(), + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dphi = (phi - self.lat0) * RAD_TO_SEC5; + // δψ = δφ Σ tpsi[k] δφ^k, Horner form. + let dpsi = dphi * TPSI.iter().rev().fold(0.0, |acc, c| c + dphi * acc); + let zeta = (dpsi, wrap_pi(lam - self.lon0)); + let (re, im) = zpoly(zeta); + Ok(( + NZMG_A * im + self.params.false_easting, + NZMG_A * re + self.params.false_northing, + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let target = ( + (y - self.params.false_northing) / NZMG_A, + (x - self.params.false_easting) / NZMG_A, + ); + // Newton's method on f(ζ) = z, started at ζ = z. + let mut zeta = target; + for _ in 0..NEWTON_MAX_ITERS { + let (f, fp) = zpoly_with_derivative(zeta); + let resid = (f.0 - target.0, f.1 - target.1); + let den = fp.0 * fp.0 + fp.1 * fp.1; + let step = ( + -(resid.0 * fp.0 + resid.1 * fp.1) / den, + -(resid.1 * fp.0 - resid.0 * fp.1) / den, + ); + zeta = (zeta.0 + step.0, zeta.1 + step.1); + if step.0.abs() + step.1.abs() <= NEWTON_TOLERANCE { + let dpsi = zeta.0; + let series = TPHI.iter().rev().fold(0.0, |acc, c| c + dpsi * acc); + let phi = self.lat0 + dpsi * series * SEC5_TO_RAD; + return Ok((self.lon0 + zeta.1, phi)); + } + } + Err(DomainReason::NoConvergence) + } +} + +/// Complex product. +fn cmul(a: (f64, f64), b: (f64, f64)) -> (f64, f64) { + (a.0 * b.0 - a.1 * b.1, a.0 * b.1 + a.1 * b.0) +} + +/// z = Σ BF[k] ζ^(k+1), Horner form (PROJ `pj_zpoly1`). +fn zpoly(zeta: (f64, f64)) -> (f64, f64) { + let inner = BF.iter().rev().fold((0.0, 0.0), |acc, c| { + let m = cmul(acc, zeta); + (c.0 + m.0, c.1 + m.1) + }); + cmul(inner, zeta) +} + +/// z and dz/dζ = Σ (k+1) BF[k] ζ^k (PROJ `pj_zpolyd1`). +fn zpoly_with_derivative(zeta: (f64, f64)) -> ((f64, f64), (f64, f64)) { + let deriv = BF.iter().enumerate().rev().fold((0.0, 0.0), |acc, (k, c)| { + let m = cmul(acc, zeta); + let scale = (k + 1) as f64; + (scale * c.0 + m.0, scale * c.1 + m.1) + }); + (zpoly(zeta), deriv) +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for PROJ reference values. + const MM: f64 = 1e-3; + + /// Inverse tolerance, degrees. + const DEG_TOL: f64 = 1e-9; + + /// PROJ 9.8.1 (pyproj 3.8.0): `+proj=nzmg +lat_0=-41 +lon_0=173 + /// +x_0=2510000 +y_0=6023150 +ellps=intl`. GN 7-2 §3.4.1 prints no + /// worked example for this method. + const PROJ_NZMG: [([f64; 2], [f64; 2]); 4] = [ + ( + [174.7633, -36.8485], + [2_667_665.932_422_868, 6_482_380.313_793_957], + ), + ( + [172.6362, -43.5321], + [2_480_614.526_881_576, 5_741_827.025_504_868_5], + ), + ( + [168.35, -46.41], + [2_152_383.175_675_591_5, 5_412_054.517_847_946], + ), + ( + [178.0, -38.6], + [2_945_419.582_789_707_5, 6_277_359.260_284_454], + ), + ]; + + #[test] + fn matches_proj() { + let g = NewZealandMapGrid::new(&NzmgParams::NZMG, &Ellipsoid::INTERNATIONAL_1924); + for (ll, xy) in PROJ_NZMG { + let (x, y) = g.forward(ll[0].to_radians(), ll[1].to_radians()).unwrap(); + assert!( + (x - xy[0]).abs() < MM && (y - xy[1]).abs() < MM, + "{ll:?}: got {x}, {y}" + ); + let (lam, phi) = g.inverse(xy[0], xy[1]).unwrap(); + assert!((lam.to_degrees() - ll[0]).abs() < DEG_TOL, "{ll:?}"); + assert!((phi.to_degrees() - ll[1]).abs() < DEG_TOL, "{ll:?}"); + } + } + + #[test] + fn origin_maps_to_false_origin() { + let g = NewZealandMapGrid::new(&NzmgParams::NZMG, &Ellipsoid::INTERNATIONAL_1924); + let (x, y) = g + .forward(NZMG_LON0_DEG.to_radians(), NZMG_LAT0_DEG.to_radians()) + .unwrap(); + assert!((x - NZMG_FALSE_EASTING).abs() < MM && (y - NZMG_FALSE_NORTHING).abs() < MM); + } + + #[test] + fn parses_and_writes_proj() { + let text = "+proj=nzmg +lat_0=-41 +lon_0=173 +x_0=2510000 +y_0=6023150 +ellps=intl"; + let p = NzmgParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + assert_eq!(p, NzmgParams::NZMG); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + NzmgParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(), + p + ); + } +} diff --git a/nodedb-spatial/src/crs/hom.rs b/nodedb-crs/src/method/omerc.rs similarity index 50% rename from nodedb-spatial/src/crs/hom.rs rename to nodedb-crs/src/method/omerc.rs index 920e085b6..aa2f71a89 100644 --- a/nodedb-spatial/src/crs/hom.rs +++ b/nodedb-crs/src/method/omerc.rs @@ -4,21 +4,32 @@ //! //! Variant A (EPSG method 9812) measures u from the natural origin, the PROJ //! `+no_uoff` form. Variant B (EPSG method 9815) measures u from the -//! projection centre. +//! projection centre, the PROJ default. -use std::f64::consts::FRAC_PI_4; +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; -use nodedb_types::geometry::Srid; +use serde::{Deserialize, Serialize}; -use super::ellipsoid::Ellipsoid; -use super::error::{CrsError, DomainReason, check_finite, check_lon_lat}; +use crate::def::Ellipsoid; +use crate::error::DomainReason; /// |cos αc| below which the initial-line azimuth counts as 90°, where /// GN7-2 replaces the uc formula with uc = A (λc − λ0). const AZIMUTH_RIGHT_ANGLE_EPS: f64 = 1e-12; /// Where u is measured from. -#[derive(Debug, Clone, Copy, PartialEq, Eq)] +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] pub enum HomVariant { /// EPSG 9812: from the natural origin. False easting and northing apply /// at the natural origin. @@ -29,7 +40,16 @@ pub enum HomVariant { } /// Defining parameters of one Hotine Oblique Mercator projection. -#[derive(Debug, Clone, Copy, PartialEq)] +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] pub struct HomParams { pub variant: HomVariant, /// Latitude of the projection centre φc, degrees. @@ -46,13 +66,63 @@ pub struct HomParams { pub false_easting: f64, /// False northing, metres. pub false_northing: f64, - pub ellipsoid: Ellipsoid, + /// PROJ `+no_rot`: output the rectified (u, v) as (x, y) without the + /// rotation by γc. + pub no_rot: bool, +} + +impl HomParams { + /// Append the PROJ-string parameters, leading space included. + pub fn write_proj(&self, out: &mut String) { + out.push_str(" +proj=omerc"); + match self.variant { + HomVariant::A => out.push_str(" +no_uoff"), + HomVariant::B => {} + } + let _ = write!( + out, + " +lat_0={} +lonc={} +alpha={} +gamma={} +k={} +x_0={} +y_0={}", + self.lat_c_deg, + self.lon_c_deg, + self.alpha_c_deg, + self.gamma_c_deg, + self.k_c, + self.false_easting, + self.false_northing + ); + if self.no_rot { + out.push_str(" +no_rot"); + } + } +} + +/// The GN7-2 constant D at the projection centre. +fn centre_d(lat_c_deg: f64, ellipsoid: &Ellipsoid) -> f64 { + let e2 = ellipsoid.e2(); + let (sin_pc, cos_pc) = lat_c_deg.to_radians().sin_cos(); + let b = (1.0 + e2 * cos_pc.powi(4) / (1.0 - e2)).sqrt(); + b * (1.0 - e2).sqrt() / (cos_pc * (1.0 - e2 * sin_pc * sin_pc).sqrt()) +} + +/// γ0 from αc, degrees: asin(sin αc / D). PROJ uses it as γc when `+gamma` +/// is absent. NaN when no real angle exists. +pub fn gamma_from_alpha(lat_c_deg: f64, alpha_c_deg: f64, ellipsoid: &Ellipsoid) -> f64 { + (alpha_c_deg.to_radians().sin() / centre_d(lat_c_deg, ellipsoid)) + .asin() + .to_degrees() +} + +/// αc from γ0, degrees: asin(D sin γ0). PROJ uses it when `+alpha` is +/// absent. NaN when no real angle exists. +pub fn alpha_from_gamma(lat_c_deg: f64, gamma_deg: f64, ellipsoid: &Ellipsoid) -> f64 { + (centre_d(lat_c_deg, ellipsoid) * gamma_deg.to_radians().sin()) + .asin() + .to_degrees() } /// A Hotine Oblique Mercator projection with its constants computed. -#[derive(Debug, Clone)] +#[derive(Debug, Clone, PartialEq)] pub struct HotineObliqueMercator { - srid: Srid, params: HomParams, e: f64, e2: f64, @@ -70,9 +140,8 @@ pub struct HotineObliqueMercator { } impl HotineObliqueMercator { - pub fn new(srid: Srid, params: HomParams) -> Self { - let el = params.ellipsoid; - let (e, e2) = (el.e(), el.e2()); + pub fn new(params: &HomParams, ellipsoid: &Ellipsoid) -> Self { + let (e, e2) = (ellipsoid.e(), ellipsoid.e2()); let phi_c = params.lat_c_deg.to_radians(); let lam_c = params.lon_c_deg.to_radians(); let alpha_c = params.alpha_c_deg.to_radians(); @@ -81,9 +150,9 @@ impl HotineObliqueMercator { let sign_pc = if phi_c < 0.0 { -1.0 } else { 1.0 }; let b = (1.0 + e2 * cos_pc.powi(4) / (1.0 - e2)).sqrt(); - let a = el.a * b * params.k_c * (1.0 - e2).sqrt() / (1.0 - e2 * sin_pc * sin_pc); + let a = ellipsoid.a * b * params.k_c * (1.0 - e2).sqrt() / (1.0 - e2 * sin_pc * sin_pc); let t0 = isometric_t(phi_c, e); - let d = b * (1.0 - e2).sqrt() / (cos_pc * (1.0 - e2 * sin_pc * sin_pc).sqrt()); + let d = centre_d(params.lat_c_deg, ellipsoid); // GN7-2: when D < 1, take D² = 1 so F stays real. let d2 = (d * d).max(1.0); let f = d + (d2 - 1.0).sqrt() * sign_pc; @@ -105,8 +174,7 @@ impl HotineObliqueMercator { let (sin_g0, cos_g0) = gamma0.sin_cos(); let (sin_gc, cos_gc) = gamma_c.sin_cos(); Self { - srid, - params, + params: *params, e, e2, b, @@ -121,11 +189,8 @@ impl HotineObliqueMercator { } } - /// Project `[lon, lat]` degrees to `[easting, northing]` metres. - pub fn forward(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - check_lon_lat(self.srid, coord)?; - let phi = coord[1].to_radians(); - let lam = coord[0].to_radians(); + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { let t = isometric_t(phi, self.e); let q = self.h / t.powf(self.b); let s = (q - 1.0 / q) / 2.0; @@ -133,49 +198,51 @@ impl HotineObliqueMercator { let (v_sin, b_dlam_cos) = (self.b * (lam - self.lon0)).sin_cos(); let u_big = (-v_sin * self.cos_g0 + s * self.sin_g0) / tt; if !u_big.is_finite() || u_big.abs() >= 1.0 { - return Err(CrsError::out_of_domain( - self.srid, - coord, - DomainReason::ObliqueSingularity, - )); + return Err(DomainReason::ObliqueSingularity); } let v = self.a * ((1.0 - u_big) / (1.0 + u_big)).ln() / (2.0 * self.b); let u = self.a * (s * self.cos_g0 + v_sin * self.sin_g0).atan2(b_dlam_cos) / self.b - self.u_offset; - let out = [ - v * self.cos_gc + u * self.sin_gc + self.params.false_easting, - u * self.cos_gc - v * self.sin_gc + self.params.false_northing, - ]; - check_finite(self.srid, out)?; - Ok(out) + let (x, y) = if self.params.no_rot { + (u, v) + } else { + ( + v * self.cos_gc + u * self.sin_gc, + u * self.cos_gc - v * self.sin_gc, + ) + }; + Ok(( + x + self.params.false_easting, + y + self.params.false_northing, + )) } - /// Unproject `[easting, northing]` metres to `[lon, lat]` degrees. - pub fn inverse(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - check_finite(self.srid, coord)?; - let de = coord[0] - self.params.false_easting; - let dn = coord[1] - self.params.false_northing; - let v = de * self.cos_gc - dn * self.sin_gc; - let u = dn * self.cos_gc + de * self.sin_gc + self.u_offset; + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let de = x - self.params.false_easting; + let dn = y - self.params.false_northing; + let (v, u_rect) = if self.params.no_rot { + (dn, de) + } else { + ( + de * self.cos_gc - dn * self.sin_gc, + dn * self.cos_gc + de * self.sin_gc, + ) + }; + let u = u_rect + self.u_offset; let q = (-self.b * v / self.a).exp(); let s = (q - 1.0 / q) / 2.0; let tt = (q + 1.0 / q) / 2.0; let (v_sin, bu_cos) = (self.b * u / self.a).sin_cos(); let u_big = (v_sin * self.cos_g0 + s * self.sin_g0) / tt; if !u_big.is_finite() || u_big.abs() >= 1.0 { - return Err(CrsError::out_of_domain( - self.srid, - coord, - DomainReason::ObliqueSingularity, - )); + return Err(DomainReason::ObliqueSingularity); } let t = (self.h / ((1.0 + u_big) / (1.0 - u_big)).sqrt()).powf(1.0 / self.b); - let chi = std::f64::consts::FRAC_PI_2 - 2.0 * t.atan(); + let chi = FRAC_PI_2 - 2.0 * t.atan(); let phi = latitude_from_conformal(chi, self.e2); let lam = self.lon0 - (s * self.cos_g0 - v_sin * self.sin_g0).atan2(bu_cos) / self.b; - let out = [lam.to_degrees(), phi.to_degrees()]; - check_finite(self.srid, out)?; - Ok(out) + Ok((lam, phi)) } } @@ -200,17 +267,46 @@ fn latitude_from_conformal(chi: f64, e2: f64) -> f64 { #[cfg(test)] mod tests { use super::*; - use crate::crs::params::{BORNEO_RSO, PENINSULAR_RSO}; /// One millimetre, the tolerance for every PROJ reference value. const MM: f64 = 1e-3; - fn rso_peninsular() -> HotineObliqueMercator { - HotineObliqueMercator::new(Srid::PeninsularRso, PENINSULAR_RSO) + /// RSO scale factor on the initial line, both Malaysian RSO grids. + const RSO_K: f64 = 0.99984; + + /// EPSG:3375, GDM2000 Peninsula RSO. + const PENINSULAR_RSO: HomParams = HomParams { + variant: HomVariant::A, + lat_c_deg: 4.0, + lon_c_deg: 102.25, + alpha_c_deg: 323.025_796_466_667, + gamma_c_deg: 323.130_102_361_111, + k_c: RSO_K, + false_easting: 804_671.0, + false_northing: 0.0, + no_rot: false, + }; + + /// EPSG:3376, GDM2000 East Malaysia (Borneo) RSO. + const BORNEO_RSO: HomParams = HomParams { + variant: HomVariant::A, + lat_c_deg: 4.0, + lon_c_deg: 115.0, + alpha_c_deg: 53.315_809_95, + gamma_c_deg: 53.130_102_361_111_1, + k_c: RSO_K, + false_easting: 0.0, + false_northing: 0.0, + no_rot: false, + }; + + fn hom(params: HomParams) -> HotineObliqueMercator { + HotineObliqueMercator::new(¶ms, &Ellipsoid::GRS80) } - fn rso_borneo() -> HotineObliqueMercator { - HotineObliqueMercator::new(Srid::BorneoRso, BORNEO_RSO) + fn fwd(h: &HotineObliqueMercator, lon: f64, lat: f64) -> Result<[f64; 2], DomainReason> { + h.forward(lon.to_radians(), lat.to_radians()) + .map(|(x, y)| [x, y]) } fn assert_close(got: [f64; 2], want: [f64; 2]) { @@ -224,35 +320,35 @@ mod tests { #[test] fn peninsular_rso_klcc() { - let got = rso_peninsular().forward([101.7117, 3.1579]).unwrap(); + let got = fwd(&hom(PENINSULAR_RSO), 101.7117, 3.1579).unwrap(); assert_close(got, [412_834.468_1, 349_472.917_7]); } #[test] fn peninsular_rso_105_5() { - let got = rso_peninsular().forward([105.0, 5.0]).unwrap(); + let got = fwd(&hom(PENINSULAR_RSO), 105.0, 5.0).unwrap(); assert_close(got, [778_104.319_5, 553_022.237_0]); } #[test] fn borneo_rso_kota_kinabalu() { - let got = rso_borneo().forward([116.0735, 5.9804]).unwrap(); + let got = fwd(&hom(BORNEO_RSO), 116.0735, 5.9804).unwrap(); assert_close(got, [708_697.150_6, 662_326.916_8]); } #[test] fn borneo_rso_105_5() { - let got = rso_borneo().forward([105.0, 5.0]).unwrap(); + let got = fwd(&hom(BORNEO_RSO), 105.0, 5.0).unwrap(); assert_close(got, [-521_596.204_7, 554_604.058_6]); } #[test] fn inverse_recovers_input_to_a_millimetre() { - for hom in [rso_peninsular(), rso_borneo()] { - for input in [[101.7117, 3.1579], [116.0735, 5.9804], [105.0, 5.0]] { - let projected = hom.forward(input).unwrap(); - let back = hom.inverse(projected).unwrap(); - let again = hom.forward(back).unwrap(); + for h in [hom(PENINSULAR_RSO), hom(BORNEO_RSO)] { + for [lon, lat] in [[101.7117, 3.1579], [116.0735, 5.9804], [105.0, 5.0]] { + let projected = fwd(&h, lon, lat).unwrap(); + let (lam, phi) = h.inverse(projected[0], projected[1]).unwrap(); + let again = h.forward(lam, phi).map(|(x, y)| [x, y]).unwrap(); assert_close(again, projected); } } @@ -268,17 +364,36 @@ mod tests { false_northing: 0.0, ..PENINSULAR_RSO }; - let hom = HotineObliqueMercator::new(Srid::PeninsularRso, params); - let centre = hom.forward([params.lon_c_deg, params.lat_c_deg]).unwrap(); + let h = hom(params); + let centre = fwd(&h, params.lon_c_deg, params.lat_c_deg).unwrap(); assert_close(centre, [0.0, 0.0]); - let back = hom.inverse(centre).unwrap(); - assert!((back[0] - params.lon_c_deg).abs() < 1e-9); - assert!((back[1] - params.lat_c_deg).abs() < 1e-9); + let (lam, phi) = h.inverse(centre[0], centre[1]).unwrap(); + assert!((lam.to_degrees() - params.lon_c_deg).abs() < 1e-9); + assert!((phi.to_degrees() - params.lat_c_deg).abs() < 1e-9); + } + + #[test] + fn no_rot_inverts() { + let h = hom(HomParams { + no_rot: true, + ..BORNEO_RSO + }); + let p = fwd(&h, 116.0735, 5.9804).unwrap(); + let (lam, phi) = h.inverse(p[0], p[1]).unwrap(); + assert!((lam.to_degrees() - 116.0735).abs() < 1e-9); + assert!((phi.to_degrees() - 5.9804).abs() < 1e-9); } #[test] fn pole_is_out_of_domain() { - assert!(rso_peninsular().forward([102.0, 90.0]).is_err()); - assert!(rso_peninsular().forward([102.0, 90.5]).is_err()); + assert!(fwd(&hom(PENINSULAR_RSO), 102.0, 90.0).is_err()); + } + + /// The RSO γc is the rectified-grid angle of a square grid, close to γ0. + #[test] + fn gamma_and_alpha_invert_each_other() { + let g = gamma_from_alpha(4.0, 53.315_809_95, &Ellipsoid::GRS80); + let a = alpha_from_gamma(4.0, g, &Ellipsoid::GRS80); + assert!((a - 53.315_809_95).abs() < 1e-9); } } diff --git a/nodedb-crs/src/method/poly.rs b/nodedb-crs/src/method/poly.rs new file mode 100644 index 000000000..c4809cbb0 --- /dev/null +++ b/nodedb-crs/src/method/poly.rs @@ -0,0 +1,353 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! American Polyconic, EPSG method 9818, PROJ `poly`. +//! +//! Follows PROJ 9.8.1 `src/projections/poly.cpp` (Snyder 1987 pp. 124–133, +//! eqs. 18-1 to 18-21; IOGP Guidance Note 7-2 §3.5.1), ellipsoidal and +//! spherical, with Newton–Raphson inverses. + +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::meridian::MeridianArc; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// |φ| at or below which a point counts as on the equator, PROJ `TOL`. +const TOL: f64 = 1e-10; + +/// Spherical inverse convergence, PROJ `CONV`. +const CONV: f64 = 1e-10; + +/// Spherical inverse iterations, PROJ `N_ITER`. +const N_ITER: usize = 10; + +/// Ellipsoidal inverse iterations, PROJ `I_ITER`. +const I_ITER: usize = 20; + +/// Ellipsoidal inverse convergence and pole guard, PROJ `ITOL`. +const ITOL: f64 = 1e-12; + +/// Largest absolute latitude of origin, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Defining parameters of one American Polyconic projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct PolyParams { + /// Latitude of natural origin φ0, degrees (`+lat_0`). + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees (`+lon_0`). + pub lon0_deg: f64, + /// False easting, metres (`+x_0`). + pub false_easting: f64, + /// False northing, metres (`+y_0`). + pub false_northing: f64, +} + +impl PolyParams { + /// Read from PROJ-string parameters. Every key defaults to 0 as in PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=poly +lat_0={} +lon_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// American Polyconic with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Polyconic { + params: PolyParams, + a: f64, + es: f64, + lon0: f64, + phi0: f64, + /// Meridian arc; `None` on a sphere. + arc: Option, + /// Ellipsoid: arc to φ0 in units of a. Sphere: −φ0. + ml0: f64, +} + +impl Polyconic { + pub fn new(p: &PolyParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let es = ell.e2(); + let (arc, ml0) = if ell.is_sphere() { + (None, -phi0) + } else { + let arc = MeridianArc::new(es); + let ml0 = arc.arc(phi0, phi0.sin(), phi0.cos()); + (Some(arc), ml0) + }; + Self { + params: *p, + a: ell.a, + es, + lon0: p.lon0_deg.to_radians(), + phi0, + arc, + ml0, + } + } + + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let (x, y) = match &self.arc { + Some(arc) => self.e_forward(arc, lam, phi), + None => self.s_forward(lam, phi), + }; + Ok(( + self.params.false_easting + self.a * x, + self.params.false_northing + self.a * y, + )) + } + + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + let (lam, phi) = match &self.arc { + Some(arc) => self.e_inverse(arc, x, y)?, + None => self.s_inverse(x, y)?, + }; + Ok((wrap_pi(lam + self.lon0), phi)) + } + + /// PROJ `poly_e_forward` (Snyder eqs. 18-2, 18-3). + fn e_forward(&self, arc: &MeridianArc, lam: f64, phi: f64) -> (f64, f64) { + if phi.abs() <= TOL { + return (lam, -self.ml0); + } + let (sp, cp) = phi.sin_cos(); + let ms = if cp.abs() > TOL { + cp / (1.0 - self.es * sp * sp).sqrt() / sp + } else { + 0.0 + }; + let e = lam * sp; + let (sin_e, cos_e) = e.sin_cos(); + ( + ms * sin_e, + (arc.arc(phi, sp, cp) - self.ml0) + ms * (1.0 - cos_e), + ) + } + + /// PROJ `poly_s_forward` (Snyder eqs. 18-1). + fn s_forward(&self, lam: f64, phi: f64) -> (f64, f64) { + if phi.abs() <= TOL { + return (lam, self.ml0); + } + let cot = 1.0 / phi.tan(); + let e = lam * phi.sin(); + (e.sin() * cot, phi - self.phi0 + cot * (1.0 - e.cos())) + } + + /// PROJ `poly_e_inverse` (Snyder eqs. 18-17 to 18-21). + fn e_inverse(&self, arc: &MeridianArc, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let y = y + self.ml0; + if y.abs() <= TOL { + return Ok((x, 0.0)); + } + let r = y * y + x * x; + let mut phi = y; + let mut converged = false; + for _ in 0..I_ITER { + let (sp, cp) = phi.sin_cos(); + let s2ph = sp * cp; + if cp.abs() < ITOL { + return Err(DomainReason::OutsideProjection); + } + let mlp_root = (1.0 - self.es * sp * sp).sqrt(); + let c = sp * mlp_root / cp; + let ml = arc.arc(phi, sp, cp); + let mlb = ml * ml + r; + let mlp = (1.0 - self.es) / (mlp_root * mlp_root * mlp_root); + let dphi = (ml + ml + c * mlb - 2.0 * y * (c * ml + 1.0)) + / (self.es * s2ph * (mlb - 2.0 * y * ml) / c + + 2.0 * (y - ml) * (c * mlp - 1.0 / s2ph) + - mlp + - mlp); + phi += dphi; + if dphi.abs() <= ITOL { + converged = true; + break; + } + } + if !converged { + return Err(DomainReason::NoConvergence); + } + let sp = phi.sin(); + let arg = x * phi.tan() * (1.0 - self.es * sp * sp).sqrt(); + if arg.abs() > 1.0 { + return Err(DomainReason::OutsideProjection); + } + Ok((arg.asin() / sp, phi)) + } + + /// PROJ `poly_s_inverse` (Snyder eqs. 18-9 to 18-14). + fn s_inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let y = self.phi0 + y; + if y.abs() <= TOL { + return Ok((x, 0.0)); + } + let mut phi = y; + let b = x * x + y * y; + let mut converged = false; + for _ in 0..N_ITER { + let tp = phi.tan(); + let dphi = + (y * (phi * tp + 1.0) - phi - 0.5 * (phi * phi + b) * tp) / ((phi - y) / tp - 1.0); + phi -= dphi; + if dphi.is_nan() || dphi.abs() <= CONV { + converged = true; + break; + } + } + if !converged { + return Err(DomainReason::NoConvergence); + } + let arg = x * phi.tan(); + if arg.abs() > 1.0 { + return Err(DomainReason::OutsideProjection); + } + Ok((arg.asin() / phi.sin(), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn params(lat0_deg: f64, lon0_deg: f64, false_easting: f64, false_northing: f64) -> PolyParams { + PolyParams { + lat0_deg, + lon0_deg, + false_easting, + false_northing, + } + } + + fn check(p: &PolyParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let poly = Polyconic::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = poly.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = poly.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + /// The GN 7-2 §3.5.1 parameter set, SAD69 / Brazil Polyconic + /// (EPSG:29101) without the datum shift. PROJ 9.8.1 values via pyproj + /// 3.8.0 for `+proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 + /// +ellps=aust_SA`. + #[test] + fn brazil_polyconic() { + check( + ¶ms(0.0, -54.0, 5_000_000.0, 10_000_000.0), + &Ellipsoid::AUSTRALIAN_SA, + BRAZIL, + ); + } + + const BRAZIL: &[[f64; 4]] = &[ + [-45.0, -6.0, 5996382.3037087675, 9328347.629558984], + [-60.0, -20.0, 4372249.445673196, 7776383.064872811], + [-54.0, 0.0, 5000000.0, 10000000.0], + [-40.0, 5.0, 6552470.132945759, 10569418.81021988], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, EPSG:5472 Panama Polyconic in metres: + /// `+proj=poly +lat_0=8.25 +lon_0=-81 +x_0=914391.7962 + /// +y_0=999404.721715486 +ellps=clrk66`. + #[test] + fn panama_polyconic() { + check( + ¶ms(8.25, -81.0, 914_391.796_2, 999_404.721_715_486), + &Ellipsoid::CLARKE_1866, + PANAMA, + ); + } + + const PANAMA: &[[f64; 4]] = &[ + [-80.0, 9.0, 1024350.9263183008, 1082499.190405663], + [-82.5, 8.3, 749148.4770122074, 1005246.4922782447], + [-79.0, 7.5, 1135140.4370462974, 916966.3856309258], + ]; + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=poly +lat_0=30 +lon_0=-96 +R=6370997`. + #[test] + fn sphere() { + check( + ¶ms(30.0, -96.0, 0.0, 0.0), + &Ellipsoid::sphere(6_370_997.0), + SPHERE_PTS, + ); + } + + const SPHERE_PTS: &[[f64; 4]] = &[ + [-100.0, 35.0, -364244.67434682354, 563268.1052725625], + [-80.0, 25.0, 1608688.0876570228, -460937.5409812575], + [-96.0, 30.0, 0.0, 0.0], + ]; + + #[test] + fn equator_maps_to_straight_line() { + let poly = Polyconic::new(¶ms(0.0, 0.0, 0.0, 0.0), &Ellipsoid::GRS80); + let (x, y) = poly.forward(0.1, 0.0).unwrap(); + assert!((x - 0.1 * Ellipsoid::GRS80.a).abs() < 1e-6 && y.abs() < 1e-9); + let (lam, phi) = poly.inverse(x, y).unwrap(); + assert!((lam - 0.1).abs() < 1e-15 && phi == 0.0); + } + + #[test] + fn parses_and_writes() { + let p = ProjParams::tokenize("+proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000") + .unwrap(); + let q = PolyParams::from_proj(&p).unwrap(); + let mut s = String::new(); + q.write_proj(&mut s); + assert_eq!( + s, + " +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000" + ); + } +} diff --git a/nodedb-crs/src/method/projection.rs b/nodedb-crs/src/method/projection.rs new file mode 100644 index 000000000..e7b04cd48 --- /dev/null +++ b/nodedb-crs/src/method/projection.rs @@ -0,0 +1,197 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The defining parameters of every implemented projection method. +//! +//! A new method adds one file under `method/`, one variant here and one in +//! [`Projector`], and one arm in each exhaustive match. + +use serde::{Deserialize, Serialize}; + +use super::aea::{AeaParams, Albers}; +use super::aeqd::{AeqdParams, AzimuthalEquidistant}; +use super::cass::{CassParams, Cassini}; +use super::cea::{CeaParams, CylindricalEqualArea}; +use super::eqc::{EqcParams, EquidistantCylindrical}; +use super::eqearth::{EqEarthParams, EqualEarth}; +use super::geos::{GeosParams, GeostationarySatellite}; +use super::krovak::{Krovak, KrovakParams}; +use super::labrd::{LabordeObliqueMercator, LabrdParams}; +use super::laea::{LaeaParams, LambertAzimuthalEqualArea}; +use super::lcc::{LambertConformalConic, LccParams}; +use super::merc::{MercParams, Mercator}; +use super::nzmg::{NewZealandMapGrid, NzmgParams}; +use super::omerc::{HomParams, HotineObliqueMercator}; +use super::poly::{PolyParams, Polyconic}; +use super::projector::Projector; +use super::sinu::{SinuParams, Sinusoidal}; +use super::somerc::{SomercParams, SwissObliqueMercator}; +use super::stere::{StereParams, Stereographic}; +use super::sterea::{ObliqueStereographic, StereaParams}; +use super::tmerc::{TmParams, TransverseMercator}; +use super::webmerc::{WebMercParams, WebMercator}; +use crate::def::Ellipsoid; +use crate::error::DomainReason; + +/// A map projection with its defining parameters. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum ProjectionDef { + /// EPSG 9807 and 9808 (South Orientated, through `+axis=wsu`), PROJ + /// `tmerc` and `utm`. + TransverseMercator(TmParams), + /// EPSG 9812 / 9815, PROJ `omerc`. + HotineObliqueMercator(HomParams), + /// EPSG 9801, 9802, 9803, 9826 (West Orientated, through `+axis=wnu`), + /// 1051 and 1102, PROJ `lcc`. + LambertConicConformal(LccParams), + /// EPSG 9804, 9805 and 1026, PROJ `merc`. + Mercator(MercParams), + /// EPSG 1024, PROJ `webmerc`. + PseudoMercator(WebMercParams), + /// EPSG 9834 and 9835, PROJ `cea`. + LambertCylindricalEqualArea(CeaParams), + /// EPSG 1028 and 1029, PROJ `eqc`. + EquidistantCylindrical(EqcParams), + /// EPSG 9810, 9829 and 9830 plus the oblique and equatorial aspects, + /// PROJ `stere` and `ups`. + Stereographic(StereParams), + /// EPSG 9809, PROJ `sterea`. + ObliqueStereographic(StereaParams), + /// EPSG 9822, PROJ `aea`. + AlbersEqualArea(AeaParams), + /// EPSG 9820 and 1027, PROJ `laea`. + LambertAzimuthalEqualArea(LaeaParams), + /// EPSG 9806 and 9833 (hyperbolic), PROJ `cass`. + CassiniSoldner(CassParams), + /// EPSG 9818, PROJ `poly`. + AmericanPolyconic(PolyParams), + /// EPSG 1125, 9831 (Guam) and 9832, PROJ `aeqd`. + AzimuthalEquidistant(AeqdParams), + /// No EPSG method, PROJ `sinu`. + Sinusoidal(SinuParams), + /// EPSG 1078, PROJ `eqearth`. + EqualEarth(EqEarthParams), + /// EPSG 9819, 1041, 1042 and 1043, PROJ `krovak` and `mod_krovak`. + Krovak(KrovakParams), + /// EPSG 9814 and the 9815 rows PROJ writes as `somerc`, PROJ `somerc`. + SwissObliqueMercator(SomercParams), + /// EPSG 9811, PROJ `nzmg`. + NewZealandMapGrid(NzmgParams), + /// No EPSG method, PROJ `geos`. + GeostationarySatellite(GeosParams), + /// EPSG 9813, PROJ `labrd`. + LabordeObliqueMercator(LabrdParams), +} + +impl ProjectionDef { + /// Compute the constants of this projection on `ellipsoid`. + pub fn prepare(&self, ellipsoid: &Ellipsoid) -> Projector { + let e = ellipsoid; + match self { + ProjectionDef::TransverseMercator(p) => { + Projector::TransverseMercator(TransverseMercator::new(p, e)) + } + ProjectionDef::HotineObliqueMercator(p) => { + Projector::HotineObliqueMercator(HotineObliqueMercator::new(p, e)) + } + ProjectionDef::LambertConicConformal(p) => { + Projector::LambertConicConformal(LambertConformalConic::new(p, e)) + } + ProjectionDef::Mercator(p) => Projector::Mercator(Mercator::new(p, e)), + ProjectionDef::PseudoMercator(p) => Projector::PseudoMercator(WebMercator::new(p, e)), + ProjectionDef::LambertCylindricalEqualArea(p) => { + Projector::LambertCylindricalEqualArea(CylindricalEqualArea::new(p, e)) + } + ProjectionDef::EquidistantCylindrical(p) => { + Projector::EquidistantCylindrical(EquidistantCylindrical::new(p, e)) + } + ProjectionDef::Stereographic(p) => Projector::Stereographic(Stereographic::new(p, e)), + ProjectionDef::ObliqueStereographic(p) => { + Projector::ObliqueStereographic(ObliqueStereographic::new(p, e)) + } + ProjectionDef::AlbersEqualArea(p) => Projector::AlbersEqualArea(Albers::new(p, e)), + ProjectionDef::LambertAzimuthalEqualArea(p) => { + Projector::LambertAzimuthalEqualArea(LambertAzimuthalEqualArea::new(p, e)) + } + ProjectionDef::CassiniSoldner(p) => Projector::CassiniSoldner(Cassini::new(p, e)), + ProjectionDef::AmericanPolyconic(p) => { + Projector::AmericanPolyconic(Polyconic::new(p, e)) + } + ProjectionDef::AzimuthalEquidistant(p) => { + Projector::AzimuthalEquidistant(Box::new(AzimuthalEquidistant::new(p, e))) + } + ProjectionDef::Sinusoidal(p) => Projector::Sinusoidal(Sinusoidal::new(p, e)), + ProjectionDef::EqualEarth(p) => Projector::EqualEarth(EqualEarth::new(p, e)), + ProjectionDef::Krovak(p) => Projector::Krovak(Krovak::new(p, e)), + ProjectionDef::SwissObliqueMercator(p) => { + Projector::SwissObliqueMercator(SwissObliqueMercator::new(p, e)) + } + ProjectionDef::NewZealandMapGrid(p) => { + Projector::NewZealandMapGrid(NewZealandMapGrid::new(p, e)) + } + ProjectionDef::GeostationarySatellite(p) => { + Projector::GeostationarySatellite(GeostationarySatellite::new(p, e)) + } + ProjectionDef::LabordeObliqueMercator(p) => { + Projector::LabordeObliqueMercator(LabordeObliqueMercator::new(p, e)) + } + } + } + + /// Append this projection's PROJ-string parameters, each with a leading + /// space, such as ` +proj=tmerc +lat_0=0`. + pub fn write_proj(&self, out: &mut String) { + match self { + ProjectionDef::TransverseMercator(p) => p.write_proj(out), + ProjectionDef::HotineObliqueMercator(p) => p.write_proj(out), + ProjectionDef::LambertConicConformal(p) => p.write_proj(out), + ProjectionDef::Mercator(p) => p.write_proj(out), + ProjectionDef::PseudoMercator(p) => p.write_proj(out), + ProjectionDef::LambertCylindricalEqualArea(p) => p.write_proj(out), + ProjectionDef::EquidistantCylindrical(p) => p.write_proj(out), + ProjectionDef::Stereographic(p) => p.write_proj(out), + ProjectionDef::ObliqueStereographic(p) => p.write_proj(out), + ProjectionDef::AlbersEqualArea(p) => p.write_proj(out), + ProjectionDef::LambertAzimuthalEqualArea(p) => p.write_proj(out), + ProjectionDef::CassiniSoldner(p) => p.write_proj(out), + ProjectionDef::AmericanPolyconic(p) => p.write_proj(out), + ProjectionDef::AzimuthalEquidistant(p) => p.write_proj(out), + ProjectionDef::Sinusoidal(p) => p.write_proj(out), + ProjectionDef::EqualEarth(p) => p.write_proj(out), + ProjectionDef::Krovak(p) => p.write_proj(out), + ProjectionDef::SwissObliqueMercator(p) => p.write_proj(out), + ProjectionDef::NewZealandMapGrid(p) => p.write_proj(out), + ProjectionDef::GeostationarySatellite(p) => p.write_proj(out), + ProjectionDef::LabordeObliqueMercator(p) => p.write_proj(out), + } + } + + /// Project λ, φ radians (λ from the CRS prime meridian) to x, y metres. + /// Prepares the constants per call. A [`Projector`] reuses them. + pub fn forward( + &self, + lam_rad: f64, + phi_rad: f64, + ellipsoid: &Ellipsoid, + ) -> Result<(f64, f64), DomainReason> { + self.prepare(ellipsoid).forward(lam_rad, phi_rad) + } + + /// Unproject x, y metres to λ, φ radians. + pub fn inverse( + &self, + x_m: f64, + y_m: f64, + ellipsoid: &Ellipsoid, + ) -> Result<(f64, f64), DomainReason> { + self.prepare(ellipsoid).inverse(x_m, y_m) + } +} diff --git a/nodedb-crs/src/method/projector.rs b/nodedb-crs/src/method/projector.rs new file mode 100644 index 000000000..351af0ba4 --- /dev/null +++ b/nodedb-crs/src/method/projector.rs @@ -0,0 +1,162 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A projection with its constants computed for one ellipsoid. + +use core::f64::consts::FRAC_PI_2; + +use super::aea::Albers; +use super::aeqd::AzimuthalEquidistant; +use super::cass::Cassini; +use super::cea::CylindricalEqualArea; +use super::eqc::EquidistantCylindrical; +use super::eqearth::EqualEarth; +use super::geos::GeostationarySatellite; +use super::krovak::Krovak; +use super::labrd::LabordeObliqueMercator; +use super::laea::LambertAzimuthalEqualArea; +use super::lcc::LambertConformalConic; +use super::merc::Mercator; +use super::nzmg::NewZealandMapGrid; +use super::omerc::HotineObliqueMercator; +use super::poly::Polyconic; +use super::sinu::Sinusoidal; +use super::somerc::SwissObliqueMercator; +use super::stere::Stereographic; +use super::sterea::ObliqueStereographic; +use super::tmerc::TransverseMercator; +use super::webmerc::WebMercator; +use crate::error::DomainReason; + +/// A prepared projection. Built by +/// [`ProjectionDef::prepare`](super::ProjectionDef::prepare). +#[derive(Debug, Clone, PartialEq)] +pub enum Projector { + TransverseMercator(TransverseMercator), + HotineObliqueMercator(HotineObliqueMercator), + LambertConicConformal(LambertConformalConic), + Mercator(Mercator), + PseudoMercator(WebMercator), + LambertCylindricalEqualArea(CylindricalEqualArea), + EquidistantCylindrical(EquidistantCylindrical), + Stereographic(Stereographic), + ObliqueStereographic(ObliqueStereographic), + AlbersEqualArea(Albers), + LambertAzimuthalEqualArea(LambertAzimuthalEqualArea), + CassiniSoldner(Cassini), + AmericanPolyconic(Polyconic), + /// Boxed: the geodesic series coefficients make it the largest by far. + AzimuthalEquidistant(Box), + Sinusoidal(Sinusoidal), + EqualEarth(EqualEarth), + Krovak(Krovak), + SwissObliqueMercator(SwissObliqueMercator), + NewZealandMapGrid(NewZealandMapGrid), + GeostationarySatellite(GeostationarySatellite), + LabordeObliqueMercator(LabordeObliqueMercator), +} + +impl Projector { + /// Project λ, φ radians (λ from the CRS prime meridian) to x, y metres, + /// false easting and northing included. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + if !lam.is_finite() || !phi.is_finite() { + return Err(DomainReason::NonFinite); + } + if phi.abs() > FRAC_PI_2 { + return Err(DomainReason::LatitudeRange); + } + let out = match self { + Projector::TransverseMercator(p) => p.forward(lam, phi), + Projector::HotineObliqueMercator(p) => p.forward(lam, phi), + Projector::LambertConicConformal(p) => p.forward(lam, phi), + Projector::Mercator(p) => p.forward(lam, phi), + Projector::PseudoMercator(p) => p.forward(lam, phi), + Projector::LambertCylindricalEqualArea(p) => p.forward(lam, phi), + Projector::EquidistantCylindrical(p) => p.forward(lam, phi), + Projector::Stereographic(p) => p.forward(lam, phi), + Projector::ObliqueStereographic(p) => p.forward(lam, phi), + Projector::AlbersEqualArea(p) => p.forward(lam, phi), + Projector::LambertAzimuthalEqualArea(p) => p.forward(lam, phi), + Projector::CassiniSoldner(p) => p.forward(lam, phi), + Projector::AmericanPolyconic(p) => p.forward(lam, phi), + Projector::AzimuthalEquidistant(p) => p.forward(lam, phi), + Projector::Sinusoidal(p) => p.forward(lam, phi), + Projector::EqualEarth(p) => p.forward(lam, phi), + Projector::Krovak(p) => p.forward(lam, phi), + Projector::SwissObliqueMercator(p) => p.forward(lam, phi), + Projector::NewZealandMapGrid(p) => p.forward(lam, phi), + Projector::GeostationarySatellite(p) => p.forward(lam, phi), + Projector::LabordeObliqueMercator(p) => p.forward(lam, phi), + }?; + finite(out) + } + + /// Unproject x, y metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + if !x.is_finite() || !y.is_finite() { + return Err(DomainReason::NonFinite); + } + let out = match self { + Projector::TransverseMercator(p) => p.inverse(x, y), + Projector::HotineObliqueMercator(p) => p.inverse(x, y), + Projector::LambertConicConformal(p) => p.inverse(x, y), + Projector::Mercator(p) => p.inverse(x, y), + Projector::PseudoMercator(p) => p.inverse(x, y), + Projector::LambertCylindricalEqualArea(p) => p.inverse(x, y), + Projector::EquidistantCylindrical(p) => p.inverse(x, y), + Projector::Stereographic(p) => p.inverse(x, y), + Projector::ObliqueStereographic(p) => p.inverse(x, y), + Projector::AlbersEqualArea(p) => p.inverse(x, y), + Projector::LambertAzimuthalEqualArea(p) => p.inverse(x, y), + Projector::CassiniSoldner(p) => p.inverse(x, y), + Projector::AmericanPolyconic(p) => p.inverse(x, y), + Projector::AzimuthalEquidistant(p) => p.inverse(x, y), + Projector::Sinusoidal(p) => p.inverse(x, y), + Projector::EqualEarth(p) => p.inverse(x, y), + Projector::Krovak(p) => p.inverse(x, y), + Projector::SwissObliqueMercator(p) => p.inverse(x, y), + Projector::NewZealandMapGrid(p) => p.inverse(x, y), + Projector::GeostationarySatellite(p) => p.inverse(x, y), + Projector::LabordeObliqueMercator(p) => p.inverse(x, y), + }?; + finite(out) + } +} + +/// Fail unless both outputs are finite. +fn finite(out: (f64, f64)) -> Result<(f64, f64), DomainReason> { + if out.0.is_finite() && out.1.is_finite() { + Ok(out) + } else { + Err(DomainReason::NonFinite) + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::def::Ellipsoid; + use crate::method::{ProjectionDef, TmParams}; + + fn utm48() -> Projector { + ProjectionDef::TransverseMercator(TmParams { + lat0_deg: 0.0, + lon0_deg: 105.0, + k0: 0.9996, + false_easting: 500_000.0, + false_northing: 0.0, + }) + .prepare(&Ellipsoid::WGS84) + } + + #[test] + fn bad_latitude_and_non_finite_are_out_of_domain() { + let p = utm48(); + assert_eq!( + p.forward(105f64.to_radians(), 91f64.to_radians()), + Err(DomainReason::LatitudeRange) + ); + assert_eq!(p.forward(f64::NAN, 0.0), Err(DomainReason::NonFinite)); + assert_eq!(p.inverse(f64::INFINITY, 1.0), Err(DomainReason::NonFinite)); + } +} diff --git a/nodedb-crs/src/method/sinu.rs b/nodedb-crs/src/method/sinu.rs new file mode 100644 index 000000000..f1450aee6 --- /dev/null +++ b/nodedb-crs/src/method/sinu.rs @@ -0,0 +1,238 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Sinusoidal (Sanson-Flamsteed), PROJ `sinu`. +//! +//! Follows PROJ 9.8.1 `src/projections/gn_sinu.cpp` (Snyder 1987 +//! pp. 243–248, eqs. 30-1 to 30-11), spherical and ellipsoidal. NodeDB +//! SRID 990001 is the MODIS sinusoidal grid on a sphere of radius +//! 6 371 007.181 m. + +use core::f64::consts::{FRAC_PI_2, PI}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::meridian::MeridianArc; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `EPS10`: an inverse latitude this far past ±90° rounds to the pole. +const EPS10: f64 = 1e-10; + +/// Defining parameters of one Sinusoidal projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct SinuParams { + /// Central meridian λ0, degrees (`+lon_0`). + pub lon0_deg: f64, + /// False easting, metres (`+x_0`). + pub false_easting: f64, + /// False northing, metres (`+y_0`). + pub false_northing: f64, +} + +impl SinuParams { + /// Read from PROJ-string parameters. Every key defaults to 0 as in PROJ. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + Ok(Self { + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the defining parameters as PROJ-string tokens. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=sinu +lon_0={} +x_0={} +y_0={}", + self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// Sinusoidal with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Sinusoidal { + params: SinuParams, + a: f64, + es: f64, + lon0: f64, + /// Meridian arc; `None` on a sphere. + arc: Option, +} + +impl Sinusoidal { + pub fn new(p: &SinuParams, ell: &Ellipsoid) -> Self { + let es = ell.e2(); + Self { + params: *p, + a: ell.a, + es, + lon0: p.lon0_deg.to_radians(), + arc: if ell.is_sphere() { + None + } else { + Some(MeridianArc::new(es)) + }, + } + } + + /// Ellipsoid: x = λ cos φ / √(1 − e² sin² φ), y = M(φ), Snyder eqs. + /// 30-8, 30-9. Sphere: x = λ cos φ, y = φ, Snyder eqs. 30-1, 30-2. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let lam = wrap_pi(lam - self.lon0); + let (s, c) = phi.sin_cos(); + let (x, y) = match &self.arc { + Some(arc) => (lam * c / (1.0 - self.es * s * s).sqrt(), arc.arc(phi, s, c)), + None => (lam * c, phi), + }; + Ok(( + self.params.false_easting + self.a * x, + self.params.false_northing + self.a * y, + )) + } + + /// PROJ `gn_sinu_e_inverse` and `gn_sinu_s_inverse`. A point past the + /// map's outline (|λ − λ0| > 180°) is outside the projection. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + let (lam, phi) = match &self.arc { + Some(arc) => { + let phi = arc.inverse(y)?; + let s = phi.abs(); + if s < FRAC_PI_2 { + let sp = phi.sin(); + (x * (1.0 - self.es * sp * sp).sqrt() / phi.cos(), phi) + } else if s - EPS10 < FRAC_PI_2 { + (0.0, phi.clamp(-FRAC_PI_2, FRAC_PI_2)) + } else { + return Err(DomainReason::OutsideProjection); + } + } + None => { + if y.abs() > FRAC_PI_2 { + return Err(DomainReason::OutsideProjection); + } + (x / y.cos(), y) + } + }; + if lam.abs() > PI + EPS10 { + return Err(DomainReason::OutsideProjection); + } + Ok((wrap_pi(lam + self.lon0), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const MM: f64 = 1e-3; + const DEG_TOL: f64 = 1e-9; + + fn check(p: &SinuParams, ell: &Ellipsoid, pts: &[[f64; 4]]) { + let sinu = Sinusoidal::new(p, ell); + for [lon, lat, x, y] in pts.iter().copied() { + let (gx, gy) = sinu.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (gx - x).abs() < MM && (gy - y).abs() < MM, + "{lon} {lat}: {gx} {gy}" + ); + let (glam, gphi) = sinu.inverse(x, y).unwrap(); + assert!( + (glam.to_degrees() - lon).abs() < DEG_TOL + && (gphi.to_degrees() - lat).abs() < DEG_TOL, + "{x} {y}: {} {}", + glam.to_degrees(), + gphi.to_degrees() + ); + } + } + + fn modis() -> SinuParams { + SinuParams { + lon0_deg: 0.0, + false_easting: 0.0, + false_northing: 0.0, + } + } + + /// NodeDB SRID 990001 rows of `tests/fixtures/proj_reference.tsv` + /// (PROJ 9.8.1 via pyproj 3.8.0), `+proj=sinu +lon_0=0 +x_0=0 +y_0=0 + /// +R=6371007.181`. (lon, lat, x, y). + #[test] + fn modis_sinusoidal() { + check( + &modis(), + &Ellipsoid::sphere(6_371_007.181), + &[ + [ + -170.0, + -60.0, + -9_451_579.418_015_448, + -6_671_703.118_599_138, + ], + [ + -120.0, + -30.0, + -11_555_728.774_429_437, + -3_335_851.559_299_569, + ], + [-60.0, 0.5, -6_671_449.080_587_624, 55_597.525_988_326_16], + [0.0, 0.0, 0.0, 0.0], + [30.0, 45.0, 2_358_803.258_612_444, 5_003_777.338_949_354], + ], + ); + } + + /// PROJ 9.8.1 via pyproj 3.8.0, `+proj=sinu +lon_0=-90 +x_0=100 + /// +y_0=-200 +ellps=WGS84`. + #[test] + fn ellipsoid() { + let p = SinuParams { + lon0_deg: -90.0, + false_easting: 100.0, + false_northing: -200.0, + }; + check(&p, &Ellipsoid::WGS84, ELLIPSOID_PTS); + } + + const ELLIPSOID_PTS: &[[f64; 4]] = &[ + [-100.0, 40.0, -853838.5695861845, 4429329.030350515], + [-60.0, -30.0, 2894688.407526896, -3320313.3979403824], + [0.0, 75.0, 2601280.5228825966, 8326737.587280346], + [-90.0, 0.0, 100.0, -200.0], + ]; + + #[test] + fn outside_outline_is_out_of_domain() { + let sinu = Sinusoidal::new(&modis(), &Ellipsoid::sphere(1.0)); + assert_eq!(sinu.inverse(3.5, 0.0), Err(DomainReason::OutsideProjection)); + assert_eq!(sinu.inverse(0.0, 1.6), Err(DomainReason::OutsideProjection)); + } + + #[test] + fn parses_and_writes() { + let p = ProjParams::tokenize( + "+proj=sinu +lon_0=0 +x_0=0 +y_0=0 +R=6371007.181 +units=m +no_defs", + ) + .unwrap(); + let q = SinuParams::from_proj(&p).unwrap(); + assert_eq!(q, modis()); + let mut s = String::new(); + q.write_proj(&mut s); + assert_eq!(s, " +proj=sinu +lon_0=0 +x_0=0 +y_0=0"); + } +} diff --git a/nodedb-crs/src/method/somerc.rs b/nodedb-crs/src/method/somerc.rs new file mode 100644 index 000000000..640e7e99e --- /dev/null +++ b/nodedb-crs/src/method/somerc.rs @@ -0,0 +1,331 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Swiss Oblique Mercator, by PROJ `src/projections/somerc.cpp`. +//! +//! A conformal projection of the ellipsoid onto the Gauss sphere, then an +//! oblique Mercator with the initial line at azimuth 90° through the +//! projection centre (swisstopo, "Formulas and constants for the +//! calculation of the Swiss conformal cylindrical projection", 2016). EPSG +//! lists these CRSs under method 9815, Hotine Oblique Mercator (variant B). + +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Newton step on the latitude below which the inverse stops (PROJ `EPS`). +const LAT_TOLERANCE: f64 = 1e-10; + +/// Newton iterations allowed (PROJ `NITER`). +const LAT_MAX_ITERS: usize = 6; + +/// |sin| beyond 1 that PROJ `aasin` still rounds to ±π/2 (PROJ `ONE_TOL`). +const ASIN_ONE_TOL: f64 = 1.000_000_000_000_01; + +/// cos of the oblique latitude below which the point is on the oblique pole. +const OBLIQUE_POLE_COS_EPS: f64 = 1e-15; + +/// Largest |φ0| in degrees: the Gauss sphere needs cos φ0 > 0. +const MAX_LAT0_DEG: f64 = 90.0; + +/// Defining parameters of one Swiss Oblique Mercator projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct SomercParams { + /// Latitude of the projection centre φ0, degrees. + pub lat0_deg: f64, + /// Longitude of the projection centre λ0, degrees. + pub lon0_deg: f64, + /// Scale factor at the projection centre. + pub k0: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl SomercParams { + /// Read from PROJ-string parameters. Every parameter has a PROJ + /// default: φ0 = λ0 = 0, k0 = 1, no false origin. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() >= MAX_LAT0_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + let k0 = p.number_any(&["k_0", "k"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k_0", &k0.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + k0, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append the PROJ form of the defining parameters. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=somerc +lat_0={} +lon_0={} +k_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.k0, self.false_easting, self.false_northing + ); + } +} + +/// A Swiss Oblique Mercator projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct SwissObliqueMercator { + params: SomercParams, + /// λ0, radians. + lon0: f64, + e: f64, + /// 1 / (1 − e²). + rone_es: f64, + /// e / 2. + hlf_e: f64, + /// Gauss sphere exponent α (PROJ `c`). + c: f64, + /// Gauss sphere constant K. + k: f64, + /// k0 · R / a, the sphere radius in units of a (PROJ `kR`). + k_r: f64, + /// sin and cos of the centre latitude on the sphere b0. + sinp0: f64, + cosp0: f64, + /// Semi-major axis, metres. + a: f64, +} + +impl SwissObliqueMercator { + pub fn new(p: &SomercParams, ell: &Ellipsoid) -> Self { + let e2 = ell.e2(); + let e = ell.e(); + let hlf_e = 0.5 * e; + let phi0 = p.lat0_deg.to_radians(); + let (sin_p0, cos_p0) = phi0.sin_cos(); + let rone_es = 1.0 / (1.0 - e2); + // Gauss sphere constants, PROJ somerc.cpp setup. + let c = (1.0 + e2 * cos_p0.powi(4) * rone_es).sqrt(); + let sinp0 = sin_p0 / c; + let phip0 = sinp0.asin(); + let es0 = e * sin_p0; + let k = (FRAC_PI_4 + 0.5 * phip0).tan().ln() + - c * ((FRAC_PI_4 + 0.5 * phi0).tan().ln() - hlf_e * ((1.0 + es0) / (1.0 - es0)).ln()); + let k_r = p.k0 * (1.0 - e2).sqrt() / (1.0 - es0 * es0); + Self { + params: *p, + lon0: p.lon0_deg.to_radians(), + e, + rone_es, + hlf_e, + c, + k, + k_r, + sinp0, + cosp0: phip0.cos(), + a: ell.a, + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dlam = wrap_pi(lam - self.lon0); + let sp = self.e * phi.sin(); + // Latitude and longitude on the Gauss sphere. + let phip = 2.0 + * (self.c + * ((FRAC_PI_4 + 0.5 * phi).tan().ln() + - self.hlf_e * ((1.0 + sp) / (1.0 - sp)).ln()) + + self.k) + .exp() + .atan() + - FRAC_PI_2; + let lamp = self.c * dlam; + let cp = phip.cos(); + // Rotation to the oblique sphere. + let phipp = aasin(self.cosp0 * phip.sin() - self.sinp0 * cp * lamp.cos())?; + let cos_phipp = phipp.cos(); + if cos_phipp < OBLIQUE_POLE_COS_EPS { + return Err(DomainReason::Singularity); + } + let lampp = aasin(cp * lamp.sin() / cos_phipp)?; + let x = self.k_r * lampp; + let y = self.k_r * (FRAC_PI_4 + 0.5 * phipp).tan().ln(); + Ok(( + self.a * x + self.params.false_easting, + self.a * y + self.params.false_northing, + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.params.false_easting) / self.a; + let y = (y - self.params.false_northing) / self.a; + let phipp = 2.0 * ((y / self.k_r).exp().atan() - FRAC_PI_4); + let lampp = x / self.k_r; + let cp = phipp.cos(); + let mut phip = aasin(self.cosp0 * phipp.sin() + self.sinp0 * cp * lampp.cos())?; + let lamp = aasin(cp * lampp.sin() / phip.cos())?; + let con = (self.k - (FRAC_PI_4 + 0.5 * phip).tan().ln()) / self.c; + // Newton iteration from the sphere latitude to the ellipsoid latitude. + for _ in 0..LAT_MAX_ITERS { + let esp = self.e * phip.sin(); + let delp = (con + (FRAC_PI_4 + 0.5 * phip).tan().ln() + - self.hlf_e * ((1.0 + esp) / (1.0 - esp)).ln()) + * (1.0 - esp * esp) + * phip.cos() + * self.rone_es; + phip -= delp; + if delp.abs() < LAT_TOLERANCE { + return Ok((self.lon0 + lamp / self.c, phip)); + } + } + Err(DomainReason::NoConvergence) + } +} + +/// asin that rounds an argument just past ±1 to ±π/2 and refuses one +/// further out, as PROJ `aasin` does. +fn aasin(v: f64) -> Result { + if v.abs() < 1.0 { + Ok(v.asin()) + } else if v.abs() <= ASIN_ONE_TOL { + Ok(FRAC_PI_2.copysign(v)) + } else { + Err(DomainReason::OutsideProjection) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for PROJ reference values. + const MM: f64 = 1e-3; + + /// Inverse tolerance, degrees. + const DEG_TOL: f64 = 1e-9; + + /// EPSG:2056 CH1903+ / LV95. + const LV95: SomercParams = SomercParams { + lat0_deg: 46.952_405_555_555_6, + lon0_deg: 7.439_583_333_333_33, + k0: 1.0, + false_easting: 2_600_000.0, + false_northing: 1_200_000.0, + }; + + /// EPSG:23700 HD72 / EOV. + const EOV: SomercParams = SomercParams { + lat0_deg: 47.144_393_722_222_2, + lon0_deg: 19.048_571_777_777_8, + k0: 0.99993, + false_easting: 650_000.0, + false_northing: 200_000.0, + }; + + /// PROJ 9.8.1 (pyproj 3.8.0): `+proj=somerc +lat_0=46.9524055555556 + /// +lon_0=7.43958333333333 +k_0=1 +x_0=2600000 +y_0=1200000 + /// +ellps=bessel`. + const PROJ_LV95: [([f64; 2], [f64; 2]); 4] = [ + ( + [8.5417, 47.3769], + [2_683_220.754_828_522_4, 1_247_772.848_570_866_7], + ), + ( + [6.1432, 46.2044], + [2_499_956.536_283_736, 1_117_683.860_689_401_9], + ), + ( + [9.8, 46.5], + [2_781_147.794_173_625, 1_152_440.159_175_334_7], + ), + ( + [7.0, 45.9], + [2_565_885.713_119_430_5, 1_083_117.132_843_990_6], + ), + ]; + + /// PROJ 9.8.1: `+proj=somerc +lat_0=47.1443937222222 + /// +lon_0=19.0485717777778 +k_0=0.99993 +x_0=650000 +y_0=200000 + /// +ellps=GRS67`. + const PROJ_EOV: [([f64; 2], [f64; 2]); 3] = [ + ( + [19.0402, 47.4979], + [649_369.245_120_057_7, 239_299.475_175_236_32], + ), + ( + [21.6, 46.3], + [846_544.024_531_169_1, 109_343.850_162_499_37], + ), + ([16.5, 47.7], [458_749.226_525_301_1, 264_886.966_444_310_9]), + ]; + + fn check(p: SomercParams, ell: Ellipsoid, refs: &[([f64; 2], [f64; 2])]) { + let s = SwissObliqueMercator::new(&p, &ell); + for (ll, xy) in refs { + let (x, y) = s.forward(ll[0].to_radians(), ll[1].to_radians()).unwrap(); + assert!( + (x - xy[0]).abs() < MM && (y - xy[1]).abs() < MM, + "{ll:?}: got {x}, {y}" + ); + let (lam, phi) = s.inverse(xy[0], xy[1]).unwrap(); + assert!((lam.to_degrees() - ll[0]).abs() < DEG_TOL, "{ll:?}"); + assert!((phi.to_degrees() - ll[1]).abs() < DEG_TOL, "{ll:?}"); + } + } + + #[test] + fn matches_proj_lv95() { + check(LV95, Ellipsoid::BESSEL_1841, &PROJ_LV95); + } + + #[test] + fn matches_proj_eov() { + check(EOV, Ellipsoid::GRS67, &PROJ_EOV); + } + + /// The projection centre maps to the false origin. + #[test] + fn centre_maps_to_false_origin() { + let s = SwissObliqueMercator::new(&LV95, &Ellipsoid::BESSEL_1841); + let (x, y) = s + .forward(LV95.lon0_deg.to_radians(), LV95.lat0_deg.to_radians()) + .unwrap(); + assert!((x - LV95.false_easting).abs() < MM && (y - LV95.false_northing).abs() < MM); + } + + #[test] + fn parses_and_writes_proj() { + let text = "+proj=somerc +lat_0=46.9524055555556 +lon_0=7.43958333333333 +k_0=1 \ + +x_0=2600000 +y_0=1200000 +ellps=bessel +units=m +no_defs"; + let p = SomercParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + assert_eq!(p, LV95); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + SomercParams::from_proj(&ProjParams::tokenize(&out).unwrap()).unwrap(), + p + ); + assert!( + SomercParams::from_proj(&ProjParams::tokenize("+proj=somerc +lat_0=90").unwrap()) + .is_err() + ); + } +} diff --git a/nodedb-crs/src/method/stere.rs b/nodedb-crs/src/method/stere.rs new file mode 100644 index 000000000..23c44d537 --- /dev/null +++ b/nodedb-crs/src/method/stere.rs @@ -0,0 +1,642 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Stereographic, PROJ `stere` and `ups`. +//! +//! Covers Polar Stereographic EPSG methods 9810 (variant A, `+k_0`), 9829 +//! (variant B, `+lat_ts`) and 9830 (variant C, written by PROJ as variant B +//! with a shifted false northing), plus the oblique and equatorial aspects +//! of PROJ `stere`. Follows PROJ 9.8.1 `src/projections/stere.cpp`, IOGP +//! Guidance Note 7-2 §3.3.2 and Snyder 1987 eqs. 21-1 to 21-44. + +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use super::conformal::tsfn; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `stere.cpp` EPS10: aspect and degenerate-value tolerance. +const EPS10: f64 = 1e-10; + +/// PROJ `stere.cpp` TOL: spherical tolerance at the opposite pole. +const SPHERE_POLE_TOL: f64 = 1e-8; + +/// PROJ `stere.cpp`: |φ − 90°| below which the pole maps to x = 0. +const POLE_EXACT_TOL: f64 = 1e-15; + +/// PROJ `stere.cpp` NITER: inverse iterations allowed. +const MAX_ITERS: usize = 8; + +/// PROJ `stere.cpp` CONV: inverse convergence on φ, radians. +const CONV: f64 = 1e-10; + +/// Largest absolute latitude, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// UPS scale factor at the pole (PROJ `ups`). +const UPS_K0: f64 = 0.994; + +/// UPS false easting and northing, metres (PROJ `ups`). +const UPS_FALSE_ORIGIN: f64 = 2_000_000.0; + +/// Defining parameters of one Stereographic projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct StereParams { + /// Latitude of natural origin φ0, degrees. ±90 selects the polar aspect. + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees. + pub lon0_deg: f64, + /// Latitude of true scale φc, degrees. Used by the polar aspect only. + /// When set (and not ±90), PROJ ignores `k0` on the polar aspect. + pub lat_ts_deg: Option, + /// Scale factor at the natural origin. + pub k0: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl StereParams { + /// Read `+proj=stere` parameters. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + let lat_ts_deg = p.number("lat_ts")?; + if let Some(lat_ts) = lat_ts_deg + && lat_ts.abs() > MAX_LAT_DEG + { + return Err(CrsParseError::invalid("lat_ts", &lat_ts.to_string())); + } + let k0 = p.number_any(&["k_0", "k"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k_0", &k0.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + lat_ts_deg, + k0, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Read `+proj=ups` parameters. PROJ fixes every value except the + /// hemisphere (`+south`). PROJ refuses `ups` on a sphere, a check the + /// caller makes with the ellipsoid in hand. + pub fn from_proj_ups(p: &ProjParams<'_>) -> Self { + Self { + lat0_deg: if p.has("south") { + -MAX_LAT_DEG + } else { + MAX_LAT_DEG + }, + lon0_deg: 0.0, + lat_ts_deg: None, + k0: UPS_K0, + false_easting: UPS_FALSE_ORIGIN, + false_northing: UPS_FALSE_ORIGIN, + } + } + + /// Append ` +proj=stere` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + let _ = write!(out, " +proj=stere +lat_0={}", self.lat0_deg); + if let Some(lat_ts) = self.lat_ts_deg { + let _ = write!(out, " +lat_ts={lat_ts}"); + } + let _ = write!( + out, + " +lon_0={} +k_0={} +x_0={} +y_0={}", + self.lon0_deg, self.k0, self.false_easting, self.false_northing + ); + } +} + +/// Aspect of the projection, PROJ `stere.cpp` Mode. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +enum Aspect { + SouthPole, + NorthPole, + Oblique, + Equatorial, +} + +/// A Stereographic projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct Stereographic { + aspect: Aspect, + sphere: bool, + e: f64, + /// Semi-major axis a, metres. + a: f64, + /// PROJ `akm1`, the radius scale over a. + akm1: f64, + /// sin and cos of the conformal latitude of φ0 (of φ0 on a sphere). + sin_x1: f64, + cos_x1: f64, + /// φ0 in radians. + phi0: f64, + /// λ0 in radians. + lon0: f64, + false_easting: f64, + false_northing: f64, +} + +/// PROJ `ssfn_`: tan((π/2 + φ)/2) · ((1 − e sin φ)/(1 + e sin φ))^(e/2), +/// so 2 atan(ssfn) − π/2 is the conformal latitude (Snyder 3-1). +fn ssfn(phi: f64, sinphi: f64, e: f64) -> f64 { + let es = e * sinphi; + (0.5 * (FRAC_PI_2 + phi)).tan() * ((1.0 - es) / (1.0 + es)).powf(0.5 * e) +} + +/// Conformal latitude χ of φ (Snyder 3-1). +fn conformal_lat(phi: f64, sinphi: f64, e: f64) -> f64 { + 2.0 * ssfn(phi, sinphi, e).atan() - FRAC_PI_2 +} + +impl Stereographic { + pub fn new(p: &StereParams, ell: &Ellipsoid) -> Self { + let phi0 = p.lat0_deg.to_radians(); + let aspect = if (phi0.abs() - FRAC_PI_2).abs() < EPS10 { + if phi0 < 0.0 { + Aspect::SouthPole + } else { + Aspect::NorthPole + } + } else if phi0.abs() > EPS10 { + Aspect::Oblique + } else { + Aspect::Equatorial + }; + let phits = p.lat_ts_deg.map_or(FRAC_PI_2, |d| d.to_radians().abs()); + let ts_at_pole = (phits - FRAC_PI_2).abs() < EPS10; + let sphere = ell.is_sphere(); + let e = ell.e(); + let (mut sin_x1, mut cos_x1) = (0.0, 0.0); + let akm1 = match (sphere, aspect) { + (false, Aspect::NorthPole | Aspect::SouthPole) => { + if ts_at_pole { + // GN 7-2 §3.3.2.1: ρ = 2 a k0 t / sqrt((1+e)^(1+e) (1−e)^(1−e)). + 2.0 * p.k0 / ((1.0 + e).powf(1.0 + e) * (1.0 - e).powf(1.0 - e)).sqrt() + } else { + // GN 7-2 §3.3.2.2: mc / tc. + let t = phits.sin(); + let et = e * t; + phits.cos() / tsfn(phits, t, e) / (1.0 - et * et).sqrt() + } + } + (false, Aspect::Oblique | Aspect::Equatorial) => { + let t = phi0.sin(); + let x1 = conformal_lat(phi0, t, e); + (sin_x1, cos_x1) = x1.sin_cos(); + let et = e * t; + 2.0 * p.k0 * phi0.cos() / (1.0 - et * et).sqrt() + } + (true, Aspect::Oblique | Aspect::Equatorial) => { + if aspect == Aspect::Oblique { + (sin_x1, cos_x1) = phi0.sin_cos(); + } + 2.0 * p.k0 + } + (true, Aspect::NorthPole | Aspect::SouthPole) => { + if ts_at_pole { + 2.0 * p.k0 + } else { + phits.cos() / (FRAC_PI_4 - 0.5 * phits).tan() + } + } + }; + Self { + aspect, + sphere, + e, + a: ell.a, + akm1, + sin_x1, + cos_x1, + phi0, + lon0: p.lon0_deg.to_radians(), + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dlam = wrap_pi(lam - self.lon0); + let (x, y) = if self.sphere { + self.forward_sphere(dlam, phi)? + } else { + self.forward_ellipsoid(dlam, phi)? + }; + Ok(( + self.false_easting + self.a * x, + self.false_northing + self.a * y, + )) + } + + /// PROJ `stere_e_forward`, in units of a. + fn forward_ellipsoid(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let (sinlam, mut coslam) = lam.sin_cos(); + let mut sinphi = phi.sin(); + let mut phi = phi; + let (x, y) = match self.aspect { + Aspect::Oblique | Aspect::Equatorial => { + let (sin_x, cos_x) = conformal_lat(phi, sinphi, self.e).sin_cos(); + if self.aspect == Aspect::Oblique { + let denom = + self.cos_x1 * (1.0 + self.sin_x1 * sin_x + self.cos_x1 * cos_x * coslam); + if denom == 0.0 { + return Err(DomainReason::Antipode); + } + let a = self.akm1 / denom; + ( + a * cos_x, + a * (self.cos_x1 * sin_x - self.sin_x1 * cos_x * coslam), + ) + } else { + let denom = 1.0 + cos_x * coslam; + if denom == 0.0 { + return Err(DomainReason::Antipode); + } + let a = self.akm1 / denom; + (a * cos_x, a * sin_x) + } + } + Aspect::NorthPole | Aspect::SouthPole => { + if self.aspect == Aspect::SouthPole { + phi = -phi; + coslam = -coslam; + sinphi = -sinphi; + } + if (phi + FRAC_PI_2).abs() < EPS10 { + return Err(DomainReason::Singularity); + } + // GN 7-2 §3.3.2.1: ρ = akm1 · t(φ). + let rho = if (phi - FRAC_PI_2).abs() < POLE_EXACT_TOL { + 0.0 + } else { + self.akm1 * tsfn(phi, sinphi, self.e) + }; + (rho, -rho * coslam) + } + }; + Ok((x * sinlam, y)) + } + + /// PROJ `stere_s_forward`, in units of a. + fn forward_sphere(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let (sinphi, cosphi) = phi.sin_cos(); + let (sinlam, mut coslam) = lam.sin_cos(); + match self.aspect { + Aspect::Oblique | Aspect::Equatorial => { + let oblique = self.aspect == Aspect::Oblique; + let d = if oblique { + 1.0 + self.sin_x1 * sinphi + self.cos_x1 * cosphi * coslam + } else { + 1.0 + cosphi * coslam + }; + if d <= EPS10 { + return Err(DomainReason::Antipode); + } + let a = self.akm1 / d; + let y = if oblique { + self.cos_x1 * sinphi - self.sin_x1 * cosphi * coslam + } else { + sinphi + }; + Ok((a * cosphi * sinlam, a * y)) + } + Aspect::NorthPole | Aspect::SouthPole => { + let mut phi = phi; + if self.aspect == Aspect::NorthPole { + coslam = -coslam; + phi = -phi; + } + if (phi - FRAC_PI_2).abs() < SPHERE_POLE_TOL { + return Err(DomainReason::Singularity); + } + let rho = self.akm1 * (FRAC_PI_4 + 0.5 * phi).tan(); + Ok((sinlam * rho, rho * coslam)) + } + } + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.false_easting) / self.a; + let y = (y - self.false_northing) / self.a; + let (lam, phi) = if self.sphere { + self.inverse_sphere(x, y) + } else { + self.inverse_ellipsoid(x, y)? + }; + Ok((wrap_pi(self.lon0 + lam), phi)) + } + + /// PROJ `stere_e_inverse`, in units of a. + fn inverse_ellipsoid(&self, mut x: f64, mut y: f64) -> Result<(f64, f64), DomainReason> { + let rho = x.hypot(y); + let (tp, mut phi_l, halfpi, halfe) = match self.aspect { + Aspect::Oblique | Aspect::Equatorial => { + let (sin_c, cos_c) = (2.0 * (rho * self.cos_x1).atan2(self.akm1)).sin_cos(); + let phi_l = if rho == 0.0 { + (cos_c * self.sin_x1).asin() + } else { + (cos_c * self.sin_x1 + y * sin_c * self.cos_x1 / rho).asin() + }; + x *= sin_c; + y = rho * self.cos_x1 * cos_c - y * self.sin_x1 * sin_c; + ( + (0.5 * (FRAC_PI_2 + phi_l)).tan(), + phi_l, + FRAC_PI_2, + 0.5 * self.e, + ) + } + Aspect::NorthPole | Aspect::SouthPole => { + if self.aspect == Aspect::NorthPole { + y = -y; + } + let tp = -rho / self.akm1; + (tp, FRAC_PI_2 - 2.0 * tp.atan(), -FRAC_PI_2, -0.5 * self.e) + } + }; + // Snyder 7-9 fixed-point iteration on φ. + for _ in 0..MAX_ITERS { + let es = self.e * phi_l.sin(); + let phi = 2.0 * (tp * ((1.0 + es) / (1.0 - es)).powf(halfe)).atan() - halfpi; + if (phi_l - phi).abs() < CONV { + let phi = if self.aspect == Aspect::SouthPole { + -phi + } else { + phi + }; + let lam = if x == 0.0 && y == 0.0 { + 0.0 + } else { + x.atan2(y) + }; + return Ok((lam, phi)); + } + phi_l = phi; + } + Err(DomainReason::NoConvergence) + } + + /// PROJ `stere_s_inverse`, in units of a. + fn inverse_sphere(&self, x: f64, mut y: f64) -> (f64, f64) { + let rh = x.hypot(y); + let (sinc, cosc) = (2.0 * (rh / self.akm1).atan()).sin_cos(); + match self.aspect { + Aspect::Equatorial => { + let phi = if rh <= EPS10 { + 0.0 + } else { + (y * sinc / rh).asin() + }; + let lam = if cosc != 0.0 || x != 0.0 { + (x * sinc).atan2(cosc * rh) + } else { + 0.0 + }; + (lam, phi) + } + Aspect::Oblique => { + let phi = if rh <= EPS10 { + self.phi0 + } else { + (cosc * self.sin_x1 + y * sinc * self.cos_x1 / rh).asin() + }; + let c = cosc - self.sin_x1 * phi.sin(); + let lam = if c != 0.0 || x != 0.0 { + (x * sinc * self.cos_x1).atan2(c * rh) + } else { + 0.0 + }; + (lam, phi) + } + Aspect::NorthPole | Aspect::SouthPole => { + let south = self.aspect == Aspect::SouthPole; + if !south { + y = -y; + } + let phi = if rh <= EPS10 { + self.phi0 + } else if south { + (-cosc).asin() + } else { + cosc.asin() + }; + let lam = if x == 0.0 && y == 0.0 { + 0.0 + } else { + x.atan2(y) + }; + (lam, phi) + } + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + fn build(text: &str, ell: Ellipsoid) -> Stereographic { + let p = StereParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + Stereographic::new(&p, &ell) + } + + fn dms(d: f64, m: f64, s: f64) -> f64 { + d + m / 60.0 + s / 3600.0 + } + + fn check(m: &Stereographic, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = m.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat}): got ({}, {})", + lam.to_degrees(), + phi.to_degrees() + ); + } + + fn assert_gn(m: &Stereographic, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < 0.005 && (y - want[1]).abs() < 0.005, + "got ({x}, {y}), GN 7-2 prints {want:?}" + ); + } + + /// GN 7-2 §3.3.2.1 example, EPSG 9810: WGS 84 / UPS North, point 73°N, + /// 44°E. GN 7-2 prints E = 3320416.75 m, N = 632668.43 m. + #[test] + fn gn_9810_ups_north() { + let m = build( + "+proj=stere +lat_0=90 +lon_0=0 +k=0.994 +x_0=2000000 +y_0=2000000", + Ellipsoid::WGS84, + ); + assert_gn(&m, 44.0, 73.0, [3_320_416.75, 632_668.43]); + check(&m, 44.0, 73.0, [3_320_416.747_4, 632_668.431_3]); + check(&m, -150.0, 85.0, [1_722_271.304_3, 2_481_040.211_7]); + } + + /// GN 7-2 §3.3.2.2 example, EPSG 9829: WGS 84 / Australian Antarctic + /// Polar Stereographic, point 75°S, 120°E. GN 7-2 prints + /// E = 7255380.79 m, N = 7053389.56 m. + #[test] + fn gn_9829_australian_antarctic() { + let m = build( + "+proj=stere +lat_0=-90 +lat_ts=-71 +lon_0=70 +x_0=6000000 +y_0=6000000", + Ellipsoid::WGS84, + ); + assert_gn(&m, 120.0, -75.0, [7_255_380.79, 7_053_389.56]); + check(&m, 120.0, -75.0, [7_255_380.793_3, 7_053_389.560_6]); + check(&m, 60.0, -65.0, [5_520_991.162_9, 8_716_594.109_1]); + } + + /// GN 7-2 §3.3.2.3 example, EPSG 9830: Petrels 1972 / Terre Adelie + /// Polar Stereographic, point 66°36'18.820"S, 140°04'17.040"E, in the + /// variant B form PROJ writes. GN 7-2 prints E = 303169.52 m, + /// N = 244055.72 m. + #[test] + fn gn_9830_terre_adelie() { + let m = build( + "+proj=stere +lat_0=-90 +lat_ts=-67 +lon_0=140 +x_0=300000 +y_0=-2299363.4878305923", + Ellipsoid::INTERNATIONAL_1924, + ); + let (lon, lat) = (dms(140.0, 4.0, 17.040), -dms(66.0, 36.0, 18.820)); + assert_gn(&m, lon, lat, [303_169.52, 244_055.72]); + check(&m, lon, lat, [303_169.521_9, 244_055.720_5]); + } + + /// pyproj 3.8.0 / PROJ 9.8.1, "+proj=stere +lat_0=90 +lat_ts=70 + /// +lon_0=-45 +a=6378273 +b=6356889.449" (EPSG:3411). + #[test] + fn nsidc_north() { + let ell = Ellipsoid { + a: 6_378_273.0, + inv_f: 6_378_273.0 / (6_378_273.0 - 6_356_889.449), + }; + let m = build( + "+proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45 +x_0=0 +y_0=0", + ell, + ); + check(&m, -30.0, 75.0, [422_888.049_4, -1_578_239.686_2]); + check(&m, 100.0, 65.0, [1_577_510.572_2, 2_252_918.579_3]); + } + + /// pyproj, "+proj=ups +south +datum=WGS84". + #[test] + fn ups_south() { + let p = StereParams::from_proj_ups(&ProjParams::tokenize("+proj=ups +south").unwrap()); + let m = Stereographic::new(&p, &Ellipsoid::WGS84); + check(&m, 44.0, -73.0, [3_320_416.747_4, 3_367_331.568_7]); + check(&m, -150.0, -85.0, [1_722_271.304_3, 1_518_959.788_3]); + } + + /// pyproj, "+proj=stere +lat_0=40 +lon_0=-100 +k=0.9999 +x_0=1000 + /// +y_0=2000 +ellps=GRS80" and "+proj=stere +lat_0=0 +lon_0=10 +k=1 + /// +ellps=GRS80". + #[test] + fn ellipsoidal_oblique_and_equatorial() { + let m = build( + "+proj=stere +lat_0=40 +lon_0=-100 +k=0.9999 +x_0=1000 +y_0=2000", + Ellipsoid::GRS80, + ); + check(&m, -90.0, 45.0, [790_389.133_4, 604_325.093_6]); + check(&m, -110.0, 30.0, [-970_617.194_7, -1_061_081.187_5]); + let m = build("+proj=stere +lat_0=0 +lon_0=10 +k=1", Ellipsoid::GRS80); + check(&m, 30.0, 20.0, [2_178_140.976_1, 2_302_414.126_0]); + check(&m, -20.0, -10.0, [-3_390_375.947_5, -1_187_625.777_8]); + } + + /// pyproj on R = 6371000: "+proj=stere +lat_0=40 +lon_0=-100 +k=0.9999", + /// "+proj=stere +lat_0=-90 +lat_ts=-71 +lon_0=0" and + /// "+proj=stere +lat_0=90 +lon_0=0 +k=0.994". + #[test] + fn spherical_aspects() { + let r = Ellipsoid::sphere(6_371_000.0); + let m = build("+proj=stere +lat_0=40 +lon_0=-100 +k=0.9999", r); + check(&m, -90.0, 45.0, [786_938.100_1, 602_829.558_7]); + check(&m, -110.0, 30.0, [-970_258.655_7, -1_065_794.116_1]); + let m = build("+proj=stere +lat_0=-90 +lat_ts=-71 +lon_0=0", r); + check(&m, 30.0, -75.0, [815_909.695_2, 1_413_197.046_4]); + check(&m, -100.0, -60.0, [-3_270_746.597_5, -576_720.872_2]); + let m = build("+proj=stere +lat_0=90 +lon_0=0 +k=0.994", r); + check(&m, 30.0, 75.0, [833_725.513_8, -1_444_054.949_4]); + check(&m, -100.0, 60.0, [-3_342_165.074_8, 589_313.876_7]); + } + + #[test] + fn opposite_pole_is_singular() { + let m = build("+proj=stere +lat_0=90 +lat_ts=70", Ellipsoid::WGS84); + assert_eq!(m.forward(0.0, -FRAC_PI_2), Err(DomainReason::Singularity)); + let s = build("+proj=stere +lat_0=-90", Ellipsoid::sphere(6_371_000.0)); + assert_eq!(s.forward(0.0, FRAC_PI_2), Err(DomainReason::Singularity)); + } + + #[test] + fn pole_maps_to_false_origin() { + let m = build( + "+proj=stere +lat_0=-90 +lat_ts=-71 +x_0=5 +y_0=7", + Ellipsoid::WGS84, + ); + let (x, y) = m.forward(0.3, -FRAC_PI_2).unwrap(); + assert!((x - 5.0).abs() < 1e-9 && (y - 7.0).abs() < 1e-9); + let (_, phi) = m.inverse(5.0, 7.0).unwrap(); + assert!((phi + FRAC_PI_2).abs() < 1e-12); + } + + #[test] + fn parse_and_round_trip() { + for text in [ + "+proj=stere +lat_0=-90 +lat_ts=-71 +lon_0=70 +x_0=6000000 +y_0=6000000", + "+proj=stere +lat_0=90 +lon_0=-33 +k=0.994 +x_0=2000000 +y_0=2000000", + ] { + let p = StereParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + StereParams::from_proj(&ProjParams::tokenize(&out).unwrap()), + Ok(p), + "{out}" + ); + } + assert!( + StereParams::from_proj(&ProjParams::tokenize("+proj=stere +lat_0=91").unwrap()) + .is_err() + ); + } +} diff --git a/nodedb-crs/src/method/sterea.rs b/nodedb-crs/src/method/sterea.rs new file mode 100644 index 000000000..72a4433c0 --- /dev/null +++ b/nodedb-crs/src/method/sterea.rs @@ -0,0 +1,320 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Oblique Stereographic, PROJ `sterea`, EPSG method 9809. +//! +//! A Gauss conformal mapping of the ellipsoid onto a sphere, then the +//! spherical oblique stereographic. Follows PROJ 9.8.1 +//! `src/projections/sterea.cpp` and `src/gauss.cpp`, which match IOGP +//! Guidance Note 7-2 §3.3.1. + +use core::f64::consts::{FRAC_PI_2, FRAC_PI_4}; +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// PROJ `gauss.cpp` MAX_ITER: inverse Gauss iterations allowed. +const GAUSS_MAX_ITERS: usize = 20; + +/// PROJ `gauss.cpp` DEL_TOL: inverse Gauss convergence on φ, radians. +const GAUSS_TOL: f64 = 1e-14; + +/// PROJ `gauss.cpp`: φ0/2 + π/4 below which K uses the south-pole form. +const SOUTH_POLE_EPS: f64 = 1e-10; + +/// Largest absolute latitude, degrees. +const MAX_LAT_DEG: f64 = 90.0; + +/// Defining parameters of one Oblique Stereographic projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct StereaParams { + /// Latitude of natural origin φ0, degrees. + pub lat0_deg: f64, + /// Longitude of natural origin λ0, degrees. + pub lon0_deg: f64, + /// Scale factor at the natural origin. + pub k0: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl StereaParams { + /// Read from PROJ-string parameters. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + let lat0_deg = p.number_or("lat_0", 0.0)?; + if lat0_deg.abs() > MAX_LAT_DEG { + return Err(CrsParseError::invalid("lat_0", &lat0_deg.to_string())); + } + let k0 = p.number_any(&["k_0", "k"])?.unwrap_or(1.0); + if k0 <= 0.0 { + return Err(CrsParseError::invalid("k_0", &k0.to_string())); + } + Ok(Self { + lat0_deg, + lon0_deg: p.number_or("lon_0", 0.0)?, + k0, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append ` +proj=sterea` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=sterea +lat_0={} +lon_0={} +k_0={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.k0, self.false_easting, self.false_northing + ); + } +} + +/// PROJ `srat`: ((1 − e sin φ)/(1 + e sin φ))^ratexp. +fn srat(esinp: f64, ratexp: f64) -> f64 { + ((1.0 - esinp) / (1.0 + esinp)).powf(ratexp) +} + +/// The Gauss conformal sphere of one ellipsoid at φ0 (PROJ `gauss.cpp`, +/// GN 7-2 §3.3.1: n = C, c = K, χ0 = phic0). +#[derive(Debug, Clone, PartialEq)] +struct Gauss { + c: f64, + k: f64, + e: f64, + ratexp: f64, +} + +impl Gauss { + /// PROJ `pj_gauss_ini`. Returns the sphere, χ0 and the conformal sphere + /// radius over a, R = sqrt(1 − e²) / (1 − e² sin² φ0). + fn new(e: f64, phi0: f64) -> (Self, f64, f64) { + let es = e * e; + let sphi = phi0.sin(); + let cphi2 = phi0.cos().powi(2); + let rc = (1.0 - es).sqrt() / (1.0 - es * sphi * sphi); + let c = (1.0 + es * cphi2 * cphi2 / (1.0 - es)).sqrt(); + let chi = (sphi / c).asin(); + let ratexp = 0.5 * c * e; + let srat_val = srat(e * sphi, ratexp); + let k = if 0.5 * phi0 + FRAC_PI_4 < SOUTH_POLE_EPS { + 1.0 / srat_val + } else { + (0.5 * chi + FRAC_PI_4).tan() / ((0.5 * phi0 + FRAC_PI_4).tan().powf(c) * srat_val) + }; + (Self { c, k, e, ratexp }, chi, rc) + } + + /// Ellipsoid → sphere, PROJ `pj_gauss`. + fn forward(&self, lam: f64, phi: f64) -> (f64, f64) { + let chi = 2.0 + * (self.k + * (0.5 * phi + FRAC_PI_4).tan().powf(self.c) + * srat(self.e * phi.sin(), self.ratexp)) + .atan() + - FRAC_PI_2; + (self.c * lam, chi) + } + + /// Sphere → ellipsoid, PROJ `pj_inv_gauss`. + fn inverse(&self, lam: f64, chi: f64) -> Result<(f64, f64), DomainReason> { + let num = ((0.5 * chi + FRAC_PI_4).tan() / self.k).powf(1.0 / self.c); + let mut prev = chi; + for _ in 0..GAUSS_MAX_ITERS { + let phi = 2.0 * (num * srat(self.e * prev.sin(), -0.5 * self.e)).atan() - FRAC_PI_2; + if (phi - prev).abs() < GAUSS_TOL { + return Ok((lam / self.c, phi)); + } + prev = phi; + } + Err(DomainReason::NoConvergence) + } +} + +/// An Oblique Stereographic projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct ObliqueStereographic { + gauss: Gauss, + /// χ0, the conformal latitude of the origin. + phic0: f64, + sinc0: f64, + cosc0: f64, + /// 2 R / a, the sphere diameter over a. + r2: f64, + /// a · k0. + ak0: f64, + /// λ0 in radians. + lon0: f64, + false_easting: f64, + false_northing: f64, +} + +impl ObliqueStereographic { + pub fn new(p: &StereaParams, ell: &Ellipsoid) -> Self { + let (gauss, phic0, rc) = Gauss::new(ell.e(), p.lat0_deg.to_radians()); + let (sinc0, cosc0) = phic0.sin_cos(); + Self { + gauss, + phic0, + sinc0, + cosc0, + r2: 2.0 * rc, + ak0: ell.a * p.k0, + lon0: p.lon0_deg.to_radians(), + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let (lam_s, chi) = self.gauss.forward(wrap_pi(lam - self.lon0), phi); + let (sinc, cosc) = chi.sin_cos(); + let (sinl, cosl) = lam_s.sin_cos(); + let denom = 1.0 + self.sinc0 * sinc + self.cosc0 * cosc * cosl; + if denom == 0.0 { + return Err(DomainReason::Antipode); + } + let k = self.ak0 * self.r2 / denom; + Ok(( + self.false_easting + k * cosc * sinl, + self.false_northing + k * (self.cosc0 * sinc - self.sinc0 * cosc * cosl), + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let x = (x - self.false_easting) / self.ak0; + let y = (y - self.false_northing) / self.ak0; + let rho = x.hypot(y); + let (lam_s, chi) = if rho != 0.0 { + let (sinc, cosc) = (2.0 * rho.atan2(self.r2)).sin_cos(); + ( + (x * sinc).atan2(rho * self.cosc0 * cosc - y * self.sinc0 * sinc), + (cosc * self.sinc0 + y * sinc * self.cosc0 / rho).asin(), + ) + } else { + (0.0, self.phic0) + }; + let (dlam, phi) = self.gauss.inverse(lam_s, chi)?; + Ok((wrap_pi(self.lon0 + dlam), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + fn build(text: &str, ell: Ellipsoid) -> ObliqueStereographic { + let p = StereaParams::from_proj(&ProjParams::tokenize(text).unwrap()).unwrap(); + ObliqueStereographic::new(&p, &ell) + } + + fn check(m: &ObliqueStereographic, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = m.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat}): got ({}, {})", + lam.to_degrees(), + phi.to_degrees() + ); + } + + /// GN 7-2 §3.3.1 example, EPSG 9809: Amersfoort / RD New, point 53°N, + /// 6°E. GN 7-2 prints E = 196105.283 m, N = 557057.739 m. The other + /// points are pyproj 3.8.0 / PROJ 9.8.1 on the same string. + #[test] + fn gn_9809_rd_new() { + let m = build( + "+proj=sterea +lat_0=52.1561605555556 +lon_0=5.38763888888889 +k=0.9999079 \ + +x_0=155000 +y_0=463000", + Ellipsoid::BESSEL_1841, + ); + let (x, y) = m.forward(6f64.to_radians(), 53f64.to_radians()).unwrap(); + assert!((x - 196_105.283).abs() < 0.0005 && (y - 557_057.739).abs() < 0.0005); + check(&m, 6.0, 53.0, [196_105.283_0, 557_057.739_4]); + check(&m, 4.9, 52.37, [121_793.919_4, 486_901.274_2]); + check(&m, 3.4, 51.4, [16_710.909_4, 380_768.054_2]); + } + + /// pyproj, "+proj=sterea +lat_0=46 +lon_0=25 +k=0.99975 +x_0=500000 + /// +y_0=500000 +ellps=krass" (Stereo 70). + #[test] + fn stereo_70() { + let m = build( + "+proj=sterea +lat_0=46 +lon_0=25 +k=0.99975 +x_0=500000 +y_0=500000", + Ellipsoid::KRASSOVSKY, + ); + check(&m, 26.1, 44.43, [587_581.703_1, 326_143.042_5]); + check(&m, 21.2, 45.75, [204_443.178_2, 479_257.212_9]); + } + + /// pyproj, the same string on "+R=6371000". + #[test] + fn sphere() { + let m = build( + "+proj=sterea +lat_0=46 +lon_0=25 +k=0.99975 +x_0=500000 +y_0=500000", + Ellipsoid::sphere(6_371_000.0), + ); + check(&m, 26.1, 44.43, [587_338.675_0, 326_051.814_3]); + check(&m, 21.2, 45.75, [205_286.441_3, 479_226.094_8]); + } + + #[test] + fn origin_maps_to_false_origin() { + let m = build( + "+proj=sterea +lat_0=46 +lon_0=25 +k=0.99975 +x_0=500000 +y_0=500000", + Ellipsoid::KRASSOVSKY, + ); + let (x, y) = m.forward(25f64.to_radians(), 46f64.to_radians()).unwrap(); + assert!((x - 500_000.0).abs() < 1e-6 && (y - 500_000.0).abs() < 1e-6); + let (lam, phi) = m.inverse(500_000.0, 500_000.0).unwrap(); + assert!((lam.to_degrees() - 25.0).abs() < 1e-12 && (phi.to_degrees() - 46.0).abs() < 1e-12); + } + + #[test] + fn parse_and_round_trip() { + let p = StereaParams::from_proj( + &ProjParams::tokenize( + "+proj=sterea +lat_0=46 +lon_0=25 +k=0.99975 +x_0=500000 +y_0=500000", + ) + .unwrap(), + ) + .unwrap(); + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + StereaParams::from_proj(&ProjParams::tokenize(&out).unwrap()), + Ok(p), + "{out}" + ); + assert!( + StereaParams::from_proj(&ProjParams::tokenize("+proj=sterea +k=-1").unwrap()).is_err() + ); + } +} diff --git a/nodedb-spatial/src/crs/tm.rs b/nodedb-crs/src/method/tmerc.rs similarity index 52% rename from nodedb-spatial/src/crs/tm.rs rename to nodedb-crs/src/method/tmerc.rs index b8fd47c3d..0a75c8aa3 100644 --- a/nodedb-spatial/src/crs/tm.rs +++ b/nodedb-crs/src/method/tmerc.rs @@ -6,32 +6,40 @@ //! nanometers", J. Geodesy 85 (2011), eqs. 7–9 and 35–36. Within 35° of the //! central meridian the series errors stay far below a millimetre. -use nodedb_types::geometry::Srid; +use core::fmt::Write; -use super::ellipsoid::Ellipsoid; -use super::error::{CrsError, DomainReason, check_finite, check_lon_lat}; +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::DomainReason; /// Largest |λ − λ0| in degrees that the projection accepts. Karney 2011 /// bounds the n⁶ series error below 5 nm inside 35° of the central meridian. pub const TM_MAX_LON_OFFSET_DEG: f64 = 35.0; /// Newton iterations allowed when inverting τ' → τ. Karney 2011 §2.2 reports -/// convergence to double precision in two; the cap only bounds bad input. +/// convergence to double precision in two. The cap only bounds bad input. pub const TAU_NEWTON_MAX_ITERS: usize = 10; /// Newton step on τ below which the inverse stops. A step this small moves /// latitude by under 1e-14 rad, about 64 nm on the ground. pub const TAU_TOLERANCE: f64 = 1e-14; -/// Half a turn in degrees, for wrapping a longitude difference. -const HALF_TURN_DEG: f64 = 180.0; - -/// A full turn in degrees. -const FULL_TURN_DEG: f64 = 360.0; - /// Defining parameters of one Transverse Mercator projection. -#[derive(Debug, Clone, Copy, PartialEq)] +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] pub struct TmParams { + /// Latitude of natural origin φ0, degrees. + pub lat0_deg: f64, /// Central meridian λ0, degrees. pub lon0_deg: f64, /// Scale factor on the central meridian. @@ -40,18 +48,31 @@ pub struct TmParams { pub false_easting: f64, /// False northing, metres. pub false_northing: f64, - pub ellipsoid: Ellipsoid, +} + +impl TmParams { + /// Append the PROJ-string parameters, leading space included. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=tmerc +lat_0={} +lon_0={} +k={} +x_0={} +y_0={}", + self.lat0_deg, self.lon0_deg, self.k0, self.false_easting, self.false_northing + ); + } } /// A Transverse Mercator projection with its series coefficients computed. -#[derive(Debug, Clone)] +#[derive(Debug, Clone, PartialEq)] pub struct TransverseMercator { - srid: Srid, params: TmParams, + /// λ0 in radians. + lon0: f64, e: f64, e2: f64, /// k0 · A, where A is the rectifying radius. k0_a: f64, + /// ξ at the natural origin, so φ0 maps to the false northing. + xi0: f64, /// Krüger α coefficients (forward). alpha: [f64; 6], /// Krüger β coefficients (inverse). @@ -59,15 +80,15 @@ pub struct TransverseMercator { } impl TransverseMercator { - pub fn new(srid: Srid, params: TmParams) -> Self { - let n = params.ellipsoid.n(); + pub fn new(params: &TmParams, ellipsoid: &Ellipsoid) -> Self { + let n = ellipsoid.n(); let n2 = n * n; let n3 = n2 * n; let n4 = n3 * n; let n5 = n4 * n; let n6 = n5 * n; // Rectifying radius A, Karney 2011 eq. 14. - let a_rect = params.ellipsoid.a / (1.0 + n) * (1.0 + n2 / 4.0 + n4 / 64.0 + n6 / 256.0); + let a_rect = ellipsoid.a / (1.0 + n) * (1.0 + n2 / 4.0 + n4 / 64.0 + n6 / 256.0); // Karney 2011 eq. 35. let alpha = [ n / 2.0 - 2.0 / 3.0 * n2 + 5.0 / 16.0 * n3 + 41.0 / 180.0 * n4 - 127.0 / 288.0 * n5 @@ -92,31 +113,34 @@ impl TransverseMercator { 4583.0 / 161_280.0 * n5 - 108_847.0 / 3_991_680.0 * n6, 20_648_693.0 / 638_668_800.0 * n6, ]; + let e = ellipsoid.e(); + // On the central meridian η' = 0, so ξ = ξ' + Σ αj sin(2j ξ'). + let xi0_p = conformal_tau(params.lat0_deg.to_radians().tan(), e).atan(); + let xi0 = xi0_p + + alpha + .iter() + .enumerate() + .map(|(j, a)| a * (2.0 * (j + 1) as f64 * xi0_p).sin()) + .sum::(); Self { - srid, - params, - e: params.ellipsoid.e(), - e2: params.ellipsoid.e2(), + params: *params, + lon0: params.lon0_deg.to_radians(), + e, + e2: ellipsoid.e2(), k0_a: params.k0 * a_rect, + xi0, alpha, beta, } } - /// Project `[lon, lat]` degrees to `[easting, northing]` metres. - pub fn forward(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - check_lon_lat(self.srid, coord)?; - let [lon, lat] = coord; - let dlon_deg = wrap_lon_offset(lon - self.params.lon0_deg); - if dlon_deg.abs() > TM_MAX_LON_OFFSET_DEG { - return Err(CrsError::out_of_domain( - self.srid, - coord, - DomainReason::CentralMeridianOffset, - )); + /// Project λ, φ radians to easting, northing metres. + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let dlon = wrap_pi(lam - self.lon0); + if dlon.abs() > TM_MAX_LON_OFFSET_DEG.to_radians() { + return Err(DomainReason::CentralMeridianOffset); } - let dlon = dlon_deg.to_radians(); - let tau_p = conformal_tau(lat.to_radians().tan(), self.e); + let tau_p = conformal_tau(phi.tan(), self.e); let xi_p = tau_p.atan2(dlon.cos()); let eta_p = (dlon.sin() / tau_p.hypot(dlon.cos())).asinh(); let mut xi = xi_p; @@ -126,19 +150,16 @@ impl TransverseMercator { xi += a * (k * xi_p).sin() * (k * eta_p).cosh(); eta += a * (k * xi_p).cos() * (k * eta_p).sinh(); } - let out = [ + Ok(( self.params.false_easting + self.k0_a * eta, - self.params.false_northing + self.k0_a * xi, - ]; - check_finite(self.srid, out)?; - Ok(out) + self.params.false_northing + self.k0_a * (xi - self.xi0), + )) } - /// Unproject `[easting, northing]` metres to `[lon, lat]` degrees. - pub fn inverse(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - check_finite(self.srid, coord)?; - let xi = (coord[1] - self.params.false_northing) / self.k0_a; - let eta = (coord[0] - self.params.false_easting) / self.k0_a; + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let xi = (y - self.params.false_northing) / self.k0_a + self.xi0; + let eta = (x - self.params.false_easting) / self.k0_a; let mut xi_p = xi; let mut eta_p = eta; for (j, b) in self.beta.iter().enumerate() { @@ -148,18 +169,11 @@ impl TransverseMercator { } let tau_p = xi_p.sin() / eta_p.sinh().hypot(xi_p.cos()); let dlon = eta_p.sinh().atan2(xi_p.cos()); - let tau = self.tau_from_conformal(tau_p); - let dlon_deg = dlon.to_degrees(); - if dlon_deg.abs() > TM_MAX_LON_OFFSET_DEG { - return Err(CrsError::out_of_domain( - self.srid, - coord, - DomainReason::CentralMeridianOffset, - )); + if dlon.abs() > TM_MAX_LON_OFFSET_DEG.to_radians() { + return Err(DomainReason::CentralMeridianOffset); } - let out = [self.params.lon0_deg + dlon_deg, tau.atan().to_degrees()]; - check_finite(self.srid, out)?; - Ok(out) + let tau = self.tau_from_conformal(tau_p); + Ok((self.lon0 + dlon, tau.atan())) } /// Solve τ' = τ'(τ) for τ by Newton's method, Karney 2011 eqs. 19–21. @@ -187,32 +201,27 @@ fn conformal_tau(tau: f64, e: f64) -> f64 { tau * (1.0 + sigma * sigma).sqrt() - sigma * tau1 } -/// Wrap a longitude difference into [-180°, 180°]. -fn wrap_lon_offset(dlon_deg: f64) -> f64 { - let d = dlon_deg % FULL_TURN_DEG; - if d > HALF_TURN_DEG { - d - FULL_TURN_DEG - } else if d < -HALF_TURN_DEG { - d + FULL_TURN_DEG - } else { - d - } -} - #[cfg(test)] mod tests { use super::*; - use crate::crs::params::{UTM_47N, UTM_48N}; /// One millimetre, the tolerance for every PROJ reference value. const MM: f64 = 1e-3; - fn utm47() -> TransverseMercator { - TransverseMercator::new(Srid::Utm47N, UTM_47N) + fn utm_north(lon0_deg: f64) -> TransverseMercator { + let params = TmParams { + lat0_deg: 0.0, + lon0_deg, + k0: 0.9996, + false_easting: 500_000.0, + false_northing: 0.0, + }; + TransverseMercator::new(¶ms, &Ellipsoid::WGS84) } - fn utm48() -> TransverseMercator { - TransverseMercator::new(Srid::Utm48N, UTM_48N) + fn fwd(tm: &TransverseMercator, lon: f64, lat: f64) -> [f64; 2] { + let (x, y) = tm.forward(lon.to_radians(), lat.to_radians()).unwrap(); + [x, y] } fn assert_close(got: [f64; 2], want: [f64; 2]) { @@ -226,67 +235,91 @@ mod tests { #[test] fn utm47n_klcc() { - let got = utm47().forward([101.7117, 3.1579]).unwrap(); - assert_close(got, [801_401.794_9, 349_439.510_6]); + assert_close( + fwd(&utm_north(99.0), 101.7117, 3.1579), + [801_401.794_9, 349_439.510_6], + ); } #[test] fn utm48n_klcc() { - let got = utm48().forward([101.7117, 3.1579]).unwrap(); - assert_close(got, [134_445.592_4, 349_624.727_8]); + assert_close( + fwd(&utm_north(105.0), 101.7117, 3.1579), + [134_445.592_4, 349_624.727_8], + ); } #[test] - fn utm48n_origin_on_central_meridian() { - assert_close(utm48().forward([105.0, 0.0]).unwrap(), [500_000.0, 0.0]); + fn utm48n_origin_and_five_north() { + let tm = utm_north(105.0); + assert_close(fwd(&tm, 105.0, 0.0), [500_000.0, 0.0]); + assert_close(fwd(&tm, 105.0, 5.0), [500_000.0, 552_664.296_9]); } + /// Landsat keeps north zones south of the equator, so northings go + /// negative and still invert. #[test] - fn utm48n_central_meridian_five_north() { - let got = utm48().forward([105.0, 5.0]).unwrap(); - assert_close(got, [500_000.0, 552_664.296_9]); + fn north_zone_accepts_negative_northing() { + let tm = utm_north(105.0); + let [x, y] = fwd(&tm, 105.0, -5.0); + assert_close([x, y], [500_000.0, -552_664.296_9]); + let (lam, phi) = tm.inverse(x, y).unwrap(); + assert!((lam.to_degrees() - 105.0).abs() < 1e-9); + assert!((phi.to_degrees() + 5.0).abs() < 1e-9); + } + + #[test] + fn origin_latitude_maps_to_false_northing() { + let params = TmParams { + lat0_deg: 4.0, + lon0_deg: 102.0, + k0: 0.99995, + false_easting: 40_000.0, + false_northing: 10_000.0, + }; + let tm = TransverseMercator::new(¶ms, &Ellipsoid::GRS80); + assert_close(fwd(&tm, 102.0, 4.0), [40_000.0, 10_000.0]); + let (lam, phi) = tm.inverse(40_000.0, 10_000.0).unwrap(); + assert!((lam.to_degrees() - 102.0).abs() < 1e-12); + assert!((phi.to_degrees() - 4.0).abs() < 1e-12); } #[test] fn inverse_recovers_input() { - let tm = utm48(); - for input in [ + let tm = utm_north(105.0); + for [lon, lat] in [ [101.7117, 3.1579], [105.0, 0.0], [109.5, 6.2], [100.0, -2.0], ] { - let back = tm.inverse(tm.forward(input).unwrap()).unwrap(); + let [x, y] = fwd(&tm, lon, lat); + let (lam, phi) = tm.inverse(x, y).unwrap(); assert!( - (back[0] - input[0]).abs() < 1e-9 && (back[1] - input[1]).abs() < 1e-9, - "{input:?} -> {back:?}" + (lam.to_degrees() - lon).abs() < 1e-9 && (phi.to_degrees() - lat).abs() < 1e-9, + "{lon} {lat}" ); } } #[test] fn far_from_central_meridian_is_out_of_domain() { - let err = utm48().forward([150.0, 3.0]).unwrap_err(); - assert!(matches!( - err, - CrsError::OutOfDomain { - reason: DomainReason::CentralMeridianOffset, - .. - } - )); - } - - #[test] - fn bad_latitude_and_non_finite_are_out_of_domain() { - assert!(utm48().forward([105.0, 91.0]).is_err()); - assert!(utm48().forward([f64::NAN, 1.0]).is_err()); - assert!(utm48().inverse([f64::INFINITY, 1.0]).is_err()); + let err = utm_north(105.0).forward(150f64.to_radians(), 3f64.to_radians()); + assert_eq!(err, Err(DomainReason::CentralMeridianOffset)); } #[test] - fn wrap_keeps_offset_in_half_turn() { - assert_eq!(wrap_lon_offset(200.0), -160.0); - assert_eq!(wrap_lon_offset(-200.0), 160.0); - assert_eq!(wrap_lon_offset(10.0), 10.0); + fn sphere_is_accepted() { + let params = TmParams { + lat0_deg: 0.0, + lon0_deg: 0.0, + k0: 1.0, + false_easting: 0.0, + false_northing: 0.0, + }; + let tm = TransverseMercator::new(¶ms, &Ellipsoid::sphere(6_371_000.0)); + let (x, y) = tm.forward(0.1, 0.2).unwrap(); + let (lam, phi) = tm.inverse(x, y).unwrap(); + assert!((lam - 0.1).abs() < 1e-12 && (phi - 0.2).abs() < 1e-12); } } diff --git a/nodedb-crs/src/method/webmerc.rs b/nodedb-crs/src/method/webmerc.rs new file mode 100644 index 000000000..68239958f --- /dev/null +++ b/nodedb-crs/src/method/webmerc.rs @@ -0,0 +1,194 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Popular Visualisation Pseudo-Mercator, PROJ `webmerc`, EPSG method 1024. +//! +//! Spherical Mercator formulas on the ellipsoid's semi-major axis, with the +//! geodetic latitude used directly (IOGP Guidance Note 7-2 §3.5.1.3, PROJ +//! 9.8.1 `src/projections/merc.cpp`). PROJ fixes k0 at 1. + +use core::fmt::Write; + +use serde::{Deserialize, Serialize}; + +use super::angle::wrap_pi; +use crate::def::Ellipsoid; +use crate::error::{CrsParseError, DomainReason}; +use crate::parse::tokens::ProjParams; + +/// Largest |φ| in radians: atan(sinh π) ≈ 85.0511°, where y reaches ±πa +/// and the map is square. +pub fn webmerc_max_lat() -> f64 { + core::f64::consts::PI.sinh().atan() +} + +/// Slack in radians on the inverse latitude limit, so a point projected at +/// the limit unprojects without a rounding error tripping the check. +const LIMIT_SLACK: f64 = 1e-12; + +/// Defining parameters of one Pseudo-Mercator projection. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct WebMercParams { + /// Longitude of natural origin λ0, degrees. + pub lon0_deg: f64, + /// False easting, metres. + pub false_easting: f64, + /// False northing, metres. + pub false_northing: f64, +} + +impl WebMercParams { + /// Read from PROJ-string parameters. PROJ ignores `+k` for webmerc. + pub fn from_proj(p: &ProjParams<'_>) -> Result { + Ok(Self { + lon0_deg: p.number_or("lon_0", 0.0)?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + }) + } + + /// Append ` +proj=webmerc` and every defining parameter. + pub fn write_proj(&self, out: &mut String) { + let _ = write!( + out, + " +proj=webmerc +lon_0={} +x_0={} +y_0={}", + self.lon0_deg, self.false_easting, self.false_northing + ); + } +} + +/// A Pseudo-Mercator projection with its constants computed. +#[derive(Debug, Clone, PartialEq)] +pub struct WebMercator { + /// λ0 in radians. + lon0: f64, + /// Semi-major axis a, metres. + a: f64, + /// Latitude limit in radians. + max_lat: f64, + false_easting: f64, + false_northing: f64, +} + +impl WebMercator { + pub fn new(p: &WebMercParams, ell: &Ellipsoid) -> Self { + Self { + lon0: p.lon0_deg.to_radians(), + a: ell.a, + max_lat: webmerc_max_lat(), + false_easting: p.false_easting, + false_northing: p.false_northing, + } + } + + /// Project λ, φ radians to easting, northing metres. GN 7-2 §3.5.1.3: + /// E = FE + a(λ − λ0), N = FN + a ln tan(π/4 + φ/2). + pub fn forward(&self, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + if phi.abs() > self.max_lat { + return Err(DomainReason::LatitudeLimit); + } + Ok(( + self.false_easting + self.a * wrap_pi(lam - self.lon0), + self.false_northing + self.a * phi.tan().asinh(), + )) + } + + /// Unproject easting, northing metres to λ, φ radians. + pub fn inverse(&self, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let phi = ((y - self.false_northing) / self.a).sinh().atan(); + if phi.abs() > self.max_lat + LIMIT_SLACK { + return Err(DomainReason::LatitudeLimit); + } + let lam = (x - self.false_easting) / self.a; + Ok((wrap_pi(self.lon0 + lam), phi)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One millimetre, the tolerance for every PROJ reference value. + const MM: f64 = 1e-3; + + /// Inverse tolerance in degrees. + const DEG_TOL: f64 = 1e-9; + + fn epsg_3857() -> WebMercator { + let p = + WebMercParams::from_proj(&ProjParams::tokenize("+proj=webmerc +datum=WGS84").unwrap()) + .unwrap(); + WebMercator::new(&p, &Ellipsoid::WGS84) + } + + fn check(m: &WebMercator, lon: f64, lat: f64, want: [f64; 2]) { + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!( + (x - want[0]).abs() < MM && (y - want[1]).abs() < MM, + "({lon}, {lat}): got ({x}, {y}), want {want:?}" + ); + // The references carry 0.1 mm, so the inverse starts from (x, y). + let (lam, phi) = m.inverse(x, y).unwrap(); + assert!( + (lam.to_degrees() - lon).abs() < DEG_TOL && (phi.to_degrees() - lat).abs() < DEG_TOL, + "inverse ({lon}, {lat})" + ); + } + + /// GN 7-2 §3.5.1.3 example, EPSG 1024: WGS 84 / Pseudo-Mercator, point + /// 24°22'54.433"N, 100°20'00.000"W. GN 7-2 prints E = −11169055.58 m, + /// N = 2800000.00 m. + #[test] + fn gn_1024_pseudo_mercator() { + let m = epsg_3857(); + let lon: f64 = -(100.0 + 20.0 / 60.0); + let lat: f64 = 24.0 + 22.0 / 60.0 + 54.433 / 3600.0; + let (x, y) = m.forward(lon.to_radians(), lat.to_radians()).unwrap(); + assert!((x + 11_169_055.58).abs() < 0.005 && (y - 2_800_000.00).abs() < 0.005); + check(&m, lon, lat, [-11_169_055.576_3, 2_800_000.003_1]); + } + + /// pyproj 3.8.0 / PROJ 9.8.1, "+proj=webmerc +datum=WGS84". + #[test] + fn proj_reference_points() { + let m = epsg_3857(); + check(&m, 101.7117, 3.1579, [11_322_494.651_7, 351_713.934_7]); + check(&m, 179.9, 85.0, [20_026_376.393_7, 19_971_868.880_4]); + } + + #[test] + fn beyond_limit_is_refused() { + let m = epsg_3857(); + assert_eq!( + m.forward(0.0, 85.06f64.to_radians()), + Err(DomainReason::LatitudeLimit) + ); + assert_eq!(m.inverse(0.0, 2.1e7), Err(DomainReason::LatitudeLimit)); + let edge = webmerc_max_lat(); + let (x, y) = m.forward(0.0, edge).unwrap(); + assert!(m.inverse(x, y).is_ok()); + } + + #[test] + fn round_trip_writer() { + let p = WebMercParams { + lon0_deg: 10.0, + false_easting: 1.5, + false_northing: -2.0, + }; + let mut out = String::new(); + p.write_proj(&mut out); + assert_eq!( + WebMercParams::from_proj(&ProjParams::tokenize(&out).unwrap()), + Ok(p) + ); + } +} diff --git a/nodedb-crs/src/parse/helmert_params.rs b/nodedb-crs/src/parse/helmert_params.rs new file mode 100644 index 000000000..464da9569 --- /dev/null +++ b/nodedb-crs/src/parse/helmert_params.rs @@ -0,0 +1,512 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Helmert transformation parameters as WKT2 and PROJJSON name them. +//! +//! A static Helmert has seven parameters, IOGP Guidance Note 7-2 §4.2.3. A +//! time-dependent Helmert, GN 7-2 §4.2.5, adds the seven yearly rates and +//! the parameter reference epoch. Unit factors follow the EPSG convention: +//! SI base unit per unit, with rates per second, so "millimetres per year" +//! is 0.001 / [`SECONDS_PER_YEAR`] metre per second. + +use super::model::{ARC_SECOND_RAD, PPM, convert, normalize_name}; +use crate::def::{DatumShift, Helmert, HelmertRates, RotationConvention}; +use crate::error::CrsParseError; + +/// Seconds per year, EPSG unit of measure 1029 ("year"), factor +/// 31556925.445 s. Rate units in EPSG and PROJ divide by this year. +pub(crate) const SECONDS_PER_YEAR: f64 = 31_556_925.445; + +/// The unit a Helmert parameter holds in a [`Helmert`] value. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(crate) enum HelmertUnit { + /// Metre. + Length, + /// Arc-second. + Angle, + /// Part per million. + Scale, + /// Metre per year. + LengthRate, + /// Arc-second per year. + AngleRate, + /// Part per million per year. + ScaleRate, + /// Year. + Time, +} + +impl HelmertUnit { + /// SI factor of the unit: metres, radians, unity or seconds per unit, + /// per second for a rate. + pub(crate) const fn factor(self) -> f64 { + match self { + HelmertUnit::Length => 1.0, + HelmertUnit::Angle => ARC_SECOND_RAD, + HelmertUnit::Scale => PPM, + HelmertUnit::LengthRate => 1.0 / SECONDS_PER_YEAR, + HelmertUnit::AngleRate => ARC_SECOND_RAD / SECONDS_PER_YEAR, + HelmertUnit::ScaleRate => PPM / SECONDS_PER_YEAR, + HelmertUnit::Time => SECONDS_PER_YEAR, + } + } + + /// The unit's EPSG name: units of measure 9001, 9104, 9202, 1042, + /// 1043, 1041 and 1029. + pub(crate) const fn name(self) -> &'static str { + match self { + HelmertUnit::Length => "metre", + HelmertUnit::Angle => "arc-second", + HelmertUnit::Scale => "parts per million", + HelmertUnit::LengthRate => "metres per year", + HelmertUnit::AngleRate => "arc-seconds per year", + HelmertUnit::ScaleRate => "parts per million per year", + HelmertUnit::Time => "year", + } + } + + /// The WKT2 unit keyword. + pub(crate) const fn wkt_keyword(self) -> &'static str { + match self { + HelmertUnit::Length | HelmertUnit::LengthRate => "LENGTHUNIT", + HelmertUnit::Angle | HelmertUnit::AngleRate => "ANGLEUNIT", + HelmertUnit::Scale | HelmertUnit::ScaleRate => "SCALEUNIT", + HelmertUnit::Time => "TIMEUNIT", + } + } + + /// The PROJJSON unit type. + pub(crate) const fn projjson_type(self) -> &'static str { + match self { + HelmertUnit::Length | HelmertUnit::LengthRate => "LinearUnit", + HelmertUnit::Angle | HelmertUnit::AngleRate => "AngularUnit", + HelmertUnit::Scale | HelmertUnit::ScaleRate => "ScaleUnit", + HelmertUnit::Time => "TimeUnit", + } + } +} + +/// Number of Helmert parameters: seven values, seven rates, one epoch. +pub(crate) const HELMERT_PARAM_COUNT: usize = 15; + +/// Index of the parameter reference epoch in [`HELMERT_PARAMS`]. +const EPOCH_SLOT: usize = 14; + +/// First rate slot in [`HELMERT_PARAMS`]. +const FIRST_RATE_SLOT: usize = 7; + +/// EPSG code, name and unit of every Helmert parameter: the seven values +/// in `+towgs84` order (8605 to 8611), their rates (1040 to 1046), and the +/// parameter reference epoch (1047). +pub(crate) const HELMERT_PARAMS: [(u32, &str, HelmertUnit); HELMERT_PARAM_COUNT] = [ + (8605, "X-axis translation", HelmertUnit::Length), + (8606, "Y-axis translation", HelmertUnit::Length), + (8607, "Z-axis translation", HelmertUnit::Length), + (8608, "X-axis rotation", HelmertUnit::Angle), + (8609, "Y-axis rotation", HelmertUnit::Angle), + (8610, "Z-axis rotation", HelmertUnit::Angle), + (8611, "Scale difference", HelmertUnit::Scale), + ( + 1040, + "Rate of change of X-axis translation", + HelmertUnit::LengthRate, + ), + ( + 1041, + "Rate of change of Y-axis translation", + HelmertUnit::LengthRate, + ), + ( + 1042, + "Rate of change of Z-axis translation", + HelmertUnit::LengthRate, + ), + ( + 1043, + "Rate of change of X-axis rotation", + HelmertUnit::AngleRate, + ), + ( + 1044, + "Rate of change of Y-axis rotation", + HelmertUnit::AngleRate, + ), + ( + 1045, + "Rate of change of Z-axis rotation", + HelmertUnit::AngleRate, + ), + ( + 1046, + "Rate of change of Scale difference", + HelmertUnit::ScaleRate, + ), + (1047, "Parameter reference epoch", HelmertUnit::Time), +]; + +/// The parameter slot a transformation parameter fills, by EPSG code or +/// name. +pub(crate) fn helmert_slot(code: Option, name: &str) -> Option { + let normalized = normalize_name(name); + HELMERT_PARAMS + .iter() + .position(|(c, n, _)| code == Some(*c) || normalize_name(n) == normalized) +} + +/// The values a transformation's parameters give, in [`Helmert`] units. +#[derive(Debug, Clone, Copy, Default)] +pub(crate) struct HelmertValues { + values: [f64; HELMERT_PARAM_COUNT], + given: [bool; HELMERT_PARAM_COUNT], +} + +impl HelmertValues { + /// Record parameter `slot` as `value` in a unit of SI factor `factor`. + /// `None` takes the parameter's own unit. + pub(crate) fn set(&mut self, slot: usize, value: f64, factor: Option) { + let Some((_, _, unit)) = HELMERT_PARAMS.get(slot) else { + return; + }; + let canonical = unit.factor(); + self.values[slot] = convert(value, factor.unwrap_or(canonical), canonical); + self.given[slot] = true; + } + + /// The datum shift these values give under the EPSG method + /// `method_code` / `method_name`. + pub(crate) fn into_shift( + self, + method_code: Option, + method_name: &str, + accuracy_m: Option, + format: &'static str, + ) -> Result { + let invalid = |detail: String| CrsParseError::content(format, detail); + let (convention, time_dependent) = + method_kind(method_code, method_name).ok_or_else(|| { + invalid(format!( + "transformation method '{method_name}' is not a Helmert transformation" + )) + })?; + let mut values = [0.0; 7]; + values.copy_from_slice(&self.values[..FIRST_RATE_SLOT]); + let mut helmert = Helmert::position_vector(values); + helmert.convention = convention; + helmert.accuracy_m = accuracy_m; + let any_rate = self.given[FIRST_RATE_SLOT..].iter().any(|g| *g); + if time_dependent { + if !self.given[EPOCH_SLOT] { + return Err(invalid(format!( + "time-dependent method '{method_name}' has no parameter reference epoch" + ))); + } + let mut rates = [0.0; 7]; + rates.copy_from_slice(&self.values[FIRST_RATE_SLOT..EPOCH_SLOT]); + helmert.rates = Some(HelmertRates::new(rates, self.values[EPOCH_SLOT])); + } else if any_rate { + return Err(invalid(format!( + "method '{method_name}' is static, but the transformation has rates; use a \ + time-dependent method such as EPSG 1057" + ))); + } + Ok(DatumShift::Helmert(helmert)) + } +} + +/// Rotation convention and whether the method is time-dependent, from the +/// EPSG method code or name, IOGP GN 7-2 §4.2.3, §4.2.5 and §4.3.1. +fn method_kind(code: Option, name: &str) -> Option<(RotationConvention, bool)> { + use RotationConvention::{CoordinateFrame, PositionVector}; + // Geocentric translations: 9603 geog2D, 1031 geocentric, 1035 geog3D. + // Position vector: 9606, 1033, 1037. Coordinate frame: 9607, 1032, 1038. + // Time-dependent position vector: 1054 geog2D, 1053 geocentric, 1055 + // geog3D. Time-dependent coordinate frame: 1057, 1056, 1058. + match code { + Some(9603 | 1031 | 1035 | 9606 | 1033 | 1037) => return Some((PositionVector, false)), + Some(9607 | 1032 | 1038) => return Some((CoordinateFrame, false)), + Some(1053..=1055) => return Some((PositionVector, true)), + Some(1056..=1058) => return Some((CoordinateFrame, true)), + Some(_) | None => {} + } + let normalized = normalize_name(name); + let prefixes = [ + ("timedependentpositionvector", PositionVector, true), + ("timedependentcoordinateframe", CoordinateFrame, true), + ("positionvector", PositionVector, false), + ("geocentrictranslations", PositionVector, false), + ("coordinateframe", CoordinateFrame, false), + ]; + prefixes + .iter() + .find(|(prefix, _, _)| normalized.starts_with(prefix)) + .map(|(_, convention, td)| (*convention, *td)) +} + +/// The EPSG method name and code a writer gives `h`: the geog2D domain +/// variant of its convention, time-dependent when it has rates. +pub(crate) fn writer_method(h: &Helmert) -> (&'static str, u32) { + match (h.convention, h.rates.is_some()) { + (RotationConvention::PositionVector, false) => { + ("Position Vector transformation (geog2D domain)", 9606) + } + (RotationConvention::CoordinateFrame, false) => { + ("Coordinate Frame rotation (geog2D domain)", 9607) + } + (RotationConvention::PositionVector, true) => ( + "Time-dependent Position Vector transformation (geog2D domain)", + 1054, + ), + (RotationConvention::CoordinateFrame, true) => ( + "Time-dependent Coordinate Frame rotation (geog2D domain)", + 1057, + ), + } +} + +/// The parameters a writer emits for `h`, in the stored convention: the +/// seven values, then the rates and epoch when it has them. +pub(crate) fn writer_params( + h: &Helmert, +) -> impl Iterator { + let mut values = [0.0; HELMERT_PARAM_COUNT]; + values[..FIRST_RATE_SLOT].copy_from_slice(&[ + h.tx_m, + h.ty_m, + h.tz_m, + h.rx_arcsec, + h.ry_arcsec, + h.rz_arcsec, + h.scale_ppm, + ]); + let count = match h.rates { + None => FIRST_RATE_SLOT, + Some(r) => { + values[FIRST_RATE_SLOT..EPOCH_SLOT].copy_from_slice(&r.values()); + values[EPOCH_SLOT] = r.reference_epoch; + HELMERT_PARAM_COUNT + } + }; + HELMERT_PARAMS + .into_iter() + .zip(values) + .take(count) + .map(|((code, name, unit), value)| (code, name, unit, value)) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn shift(code: Option, name: &str, values: HelmertValues) -> Result { + match values.into_shift(code, name, None, "test") { + Ok(DatumShift::Helmert(h)) => Ok(h), + Ok(DatumShift::Identity) => Err("identity".into()), + Err(e) => Err(e.to_string()), + } + } + + fn seven() -> HelmertValues { + let mut v = HelmertValues::default(); + for (slot, value) in [1.0, 2.0, 3.0, 0.1, 0.2, 0.3, 4.0].into_iter().enumerate() { + v.set(slot, value, None); + } + v + } + + #[test] + fn static_methods_pick_the_convention() { + let cf = shift(Some(9607), "x", seven()).unwrap(); + assert_eq!(cf.convention, RotationConvention::CoordinateFrame); + assert_eq!(cf.rates, None); + let pv = shift(None, "Position Vector transformation", seven()).unwrap(); + assert_eq!(pv.convention, RotationConvention::PositionVector); + assert_eq!(pv.to_towgs84(), [1.0, 2.0, 3.0, 0.1, 0.2, 0.3, 4.0]); + for code in [9603, 1031, 1035, 1037] { + assert_eq!( + shift(Some(code), "x", seven()).map(|h| h.convention), + Ok(RotationConvention::PositionVector) + ); + } + assert!(shift(None, "NTv2", seven()).is_err()); + } + + /// Rates in the EPSG per-second factors PROJ writes: millimetres per + /// year 3.16887651727315e-11 m/s, milliarc-seconds per year + /// 1.53631468932076e-16 rad/s, parts per billion per year + /// 3.16887651727315e-17 /s, year 31556925.445 s. + #[test] + fn time_dependent_rates_convert_from_epsg_units() { + let mut v = seven(); + let slot = |name: &str| helmert_slot(None, name).unwrap(); + v.set( + slot("Rate of change of X-axis translation"), + 1.42, + Some(3.168_876_517_273_15e-11), + ); + v.set( + slot("Rate of change of Z-axis rotation"), + 1.1551, + Some(1.536_314_689_320_76e-16), + ); + v.set( + slot("Rate of change of Scale difference"), + 0.109, + Some(3.168_876_517_273_15e-17), + ); + v.set( + helmert_slot(Some(1047), "").unwrap(), + 1994.0, + Some(SECONDS_PER_YEAR), + ); + let h = shift(None, "Time-dependent Coordinate Frame rotation (geocen)", v).unwrap(); + assert_eq!(h.convention, RotationConvention::CoordinateFrame); + let r = h.rates.unwrap(); + assert!((r.dtx_m_per_yr - 0.001_42).abs() < 1e-15, "{r:?}"); + assert!((r.drz_arcsec_per_yr - 0.001_155_1).abs() < 1e-15, "{r:?}"); + assert!((r.dscale_ppm_per_yr - 0.000_109).abs() < 1e-15, "{r:?}"); + assert_eq!(r.reference_epoch, 1994.0); + assert_eq!( + shift(Some(1053), "x", v).map(|h| h.convention), + Ok(RotationConvention::PositionVector) + ); + } + + #[test] + fn rates_need_a_time_dependent_method_and_an_epoch() { + let mut v = seven(); + v.set(FIRST_RATE_SLOT, 0.001, None); + let err = shift(Some(9606), "x", v).unwrap_err(); + assert!(err.contains("static"), "{err}"); + let err = shift(Some(1054), "x", v).unwrap_err(); + assert!(err.contains("reference epoch"), "{err}"); + } + + /// A GDA94 `BoundCRS` carrying EPSG transformation 6276 (ITRF2008 to + /// GDA94, method 1056) with the parameter units PROJ 9.8.1 writes. + const TIME_DEPENDENT_PROJJSON: &str = r#"{"type": "BoundCRS", + "source_crs": {"type": "GeographicCRS", "name": "GDA94", + "datum": {"type": "GeodeticReferenceFrame", "name": "Geocentric Datum of Australia 1994", + "ellipsoid": {"name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101}}, + "coordinate_system": {"subtype": "ellipsoidal", "axis": [ + {"name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree"}, + {"name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree"}]}, + "id": {"authority": "EPSG", "code": 4283}}, + "target_crs": {"type": "GeographicCRS", "name": "WGS 84", + "datum": {"type": "GeodeticReferenceFrame", "name": "World Geodetic System 1984", + "ellipsoid": {"name": "WGS 84", "semi_major_axis": 6378137, "inverse_flattening": 298.257223563}}, + "coordinate_system": {"subtype": "ellipsoidal", "axis": [ + {"name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree"}, + {"name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree"}]}}, + "transformation": {"name": "ITRF2008 to GDA94 (1)", + "method": {"name": "Time-dependent Coordinate Frame rotation (geocen)", "id": {"authority": "EPSG", "code": 1056}}, + "parameters": [ + {"name": "X-axis translation", "value": -84.68, "unit": {"type": "LinearUnit", "name": "millimetre", "conversion_factor": 0.001}, "id": {"authority": "EPSG", "code": 8605}}, + {"name": "Y-axis translation", "value": -19.42, "unit": {"type": "LinearUnit", "name": "millimetre", "conversion_factor": 0.001}, "id": {"authority": "EPSG", "code": 8606}}, + {"name": "Z-axis translation", "value": 32.01, "unit": {"type": "LinearUnit", "name": "millimetre", "conversion_factor": 0.001}, "id": {"authority": "EPSG", "code": 8607}}, + {"name": "X-axis rotation", "value": -0.4254, "unit": {"type": "AngularUnit", "name": "milliarc-second", "conversion_factor": 4.84813681109536e-09}, "id": {"authority": "EPSG", "code": 8608}}, + {"name": "Y-axis rotation", "value": 2.2578, "unit": {"type": "AngularUnit", "name": "milliarc-second", "conversion_factor": 4.84813681109536e-09}, "id": {"authority": "EPSG", "code": 8609}}, + {"name": "Z-axis rotation", "value": 2.4015, "unit": {"type": "AngularUnit", "name": "milliarc-second", "conversion_factor": 4.84813681109536e-09}, "id": {"authority": "EPSG", "code": 8610}}, + {"name": "Scale difference", "value": 9.71, "unit": {"type": "ScaleUnit", "name": "parts per billion", "conversion_factor": 1e-09}, "id": {"authority": "EPSG", "code": 8611}}, + {"name": "Rate of change of X-axis translation", "value": 1.42, "unit": {"type": "LinearUnit", "name": "millimetres per year", "conversion_factor": 3.16887651727315e-11}, "id": {"authority": "EPSG", "code": 1040}}, + {"name": "Rate of change of Y-axis translation", "value": 1.34, "unit": {"type": "LinearUnit", "name": "millimetres per year", "conversion_factor": 3.16887651727315e-11}, "id": {"authority": "EPSG", "code": 1041}}, + {"name": "Rate of change of Z-axis translation", "value": 0.9, "unit": {"type": "LinearUnit", "name": "millimetres per year", "conversion_factor": 3.16887651727315e-11}, "id": {"authority": "EPSG", "code": 1042}}, + {"name": "Rate of change of X-axis rotation", "value": 1.5461, "unit": {"type": "AngularUnit", "name": "milliarc-seconds per year", "conversion_factor": 1.53631468932076e-16}, "id": {"authority": "EPSG", "code": 1043}}, + {"name": "Rate of change of Y-axis rotation", "value": 1.182, "unit": {"type": "AngularUnit", "name": "milliarc-seconds per year", "conversion_factor": 1.53631468932076e-16}, "id": {"authority": "EPSG", "code": 1044}}, + {"name": "Rate of change of Z-axis rotation", "value": 1.1551, "unit": {"type": "AngularUnit", "name": "milliarc-seconds per year", "conversion_factor": 1.53631468932076e-16}, "id": {"authority": "EPSG", "code": 1045}}, + {"name": "Rate of change of Scale difference", "value": 0.109, "unit": {"type": "ScaleUnit", "name": "parts per billion per year", "conversion_factor": 3.16887651727315e-17}, "id": {"authority": "EPSG", "code": 1046}}, + {"name": "Parameter reference epoch", "value": 1994, "unit": {"type": "TimeUnit", "name": "year", "conversion_factor": 31556925.445}, "id": {"authority": "EPSG", "code": 1047}}]}}"#; + + /// Relative agreement of a parameter converted from PROJ's 15-digit + /// unit factors. + const FACTOR_REL_TOL: f64 = 1e-12; + + fn close(got: f64, want: f64) -> bool { + (got - want).abs() <= want.abs() * FACTOR_REL_TOL + } + + #[test] + fn projjson_time_dependent_bound_crs_reads_and_round_trips() { + use crate::parse::{parse_projjson, parse_wkt2}; + use crate::srid::Srid; + let srid = Srid::new(910_010).unwrap(); + let def = parse_projjson(srid, "td", TIME_DEPENDENT_PROJJSON).unwrap(); + let DatumShift::Helmert(h) = def.datum.to_wgs84 else { + panic!("expected a Helmert shift"); + }; + assert_eq!(h.convention, RotationConvention::CoordinateFrame); + let want = [ + -0.084_68, + -0.019_42, + 0.032_01, + -0.000_425_4, + 0.002_257_8, + 0.002_401_5, + 0.009_71, + ]; + for (got, want) in h.to_towgs84().iter().zip(want).take(3) { + assert!(close(*got, want), "{got} {want}"); + } + assert!( + close(h.rx_arcsec, want[3]) && close(h.scale_ppm, want[6]), + "{h:?}" + ); + let r = h.rates.unwrap(); + let want_rates = [ + 0.001_42, + 0.001_34, + 0.000_90, + 0.001_546_1, + 0.001_182, + 0.001_155_1, + 0.000_109, + ]; + for (got, want) in r.values().iter().zip(want_rates) { + assert!(close(*got, want), "{got} {want}"); + } + assert_eq!(r.reference_epoch, 1994.0); + let json = parse_projjson(srid, "td", &def.to_projjson()).unwrap(); + assert_eq!(json, def); + let wkt = parse_wkt2(srid, "td", &def.to_wkt2()).unwrap(); + assert_eq!(wkt, def); + } + + #[test] + fn wkt2_time_dependent_bound_crs_reads_named_units() { + use crate::parse::parse_wkt2; + use crate::srid::Srid; + let text = r#"BOUNDCRS[ + SOURCECRS[GEOGCRS["GDA94",DATUM["GDA94",ELLIPSOID["GRS 1980",6378137,298.257222101]], + CS[ellipsoidal,2],AXIS["latitude",north],AXIS["longitude",east], + ANGLEUNIT["degree",0.0174532925199433]]], + TARGETCRS[GEOGCRS["WGS 84",DATUM["World Geodetic System 1984",ELLIPSOID["WGS 84",6378137,298.257223563]], + CS[ellipsoidal,2],AXIS["latitude",north],AXIS["longitude",east],ANGLEUNIT["degree",0.0174532925199433]]], + ABRIDGEDTRANSFORMATION["t", + METHOD["Time-dependent Position Vector transformation (geog2D domain)",ID["EPSG",1054]], + PARAMETER["X-axis translation",0.5], + PARAMETER["Rate of change of Z-axis translation",2,LENGTHUNIT["millimetres per year",3.16887651727315E-11]], + PARAMETER["Parameter reference epoch",2020,TIMEUNIT["year",31556925.445]]]]"#; + let def = parse_wkt2(Srid::new(910_011).unwrap(), "td", text).unwrap(); + let DatumShift::Helmert(h) = def.datum.to_wgs84 else { + panic!("expected a Helmert shift"); + }; + assert_eq!(h.convention, RotationConvention::PositionVector); + assert_eq!(h.tx_m, 0.5); + let r = h.rates.unwrap(); + assert!(close(r.dtz_m_per_yr, 0.002), "{r:?}"); + assert_eq!(r.reference_epoch, 2020.0); + } + + #[test] + fn writers_emit_rates_only_when_present() { + let static_h = Helmert::translation(1.0, 2.0, 3.0); + assert_eq!(writer_params(&static_h).count(), 7); + assert_eq!(writer_method(&static_h).1, 9606); + let mut td = static_h; + td.convention = RotationConvention::CoordinateFrame; + td.rates = Some(HelmertRates::new([0.0; 7], 2020.0)); + let params: Vec<_> = writer_params(&td).collect(); + assert_eq!(params.len(), HELMERT_PARAM_COUNT); + assert_eq!(params[EPOCH_SLOT].0, 1047); + assert_eq!(params[EPOCH_SLOT].3, 2020.0); + assert_eq!(writer_method(&td).1, 1057); + } +} diff --git a/nodedb-crs/src/parse/json.rs b/nodedb-crs/src/parse/json.rs new file mode 100644 index 000000000..f310cdea7 --- /dev/null +++ b/nodedb-crs/src/parse/json.rs @@ -0,0 +1,347 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A small JSON reader and string writer for PROJJSON. +//! +//! The crate takes no JSON dependency, so it builds for every target with +//! no allocator or SIMD assumptions. The reader nests at most +//! [`MAX_DEPTH`] levels, so hostile input cannot exhaust the stack. + +use crate::error::CrsParseError; + +/// Format name reported by PROJJSON errors. +pub const PROJJSON_FORMAT: &str = "PROJJSON"; + +/// Deepest nesting the reader accepts. +const MAX_DEPTH: usize = 64; + +/// One JSON value. Object members keep their order. +#[derive(Debug, Clone, PartialEq)] +pub(crate) enum Json { + Null, + Bool(bool), + Number(f64), + String(String), + Array(Vec), + Object(Vec<(String, Json)>), +} + +impl Json { + /// Member `key` of an object. + pub(crate) fn get(&self, key: &str) -> Option<&Json> { + match self { + Json::Object(members) => members.iter().find(|(k, _)| k == key).map(|(_, v)| v), + Json::Null | Json::Bool(_) | Json::Number(_) | Json::String(_) | Json::Array(_) => None, + } + } + + pub(crate) fn as_str(&self) -> Option<&str> { + match self { + Json::String(s) => Some(s), + Json::Null | Json::Bool(_) | Json::Number(_) | Json::Array(_) | Json::Object(_) => None, + } + } + + pub(crate) fn as_f64(&self) -> Option { + match self { + Json::Number(n) => Some(*n), + Json::Null | Json::Bool(_) | Json::String(_) | Json::Array(_) | Json::Object(_) => None, + } + } + + pub(crate) fn as_array(&self) -> Option<&[Json]> { + match self { + Json::Array(items) => Some(items), + Json::Null | Json::Bool(_) | Json::Number(_) | Json::String(_) | Json::Object(_) => { + None + } + } + } +} + +/// Parse `text` as one JSON value. Only whitespace may follow it. +pub(crate) fn parse_json(text: &str) -> Result { + let mut reader = Reader { + text, + bytes: text.as_bytes(), + pos: 0, + }; + reader.skip_space(); + let value = reader.value(0)?; + reader.skip_space(); + if reader.pos != reader.bytes.len() { + return Err(reader.malformed()); + } + Ok(value) +} + +struct Reader<'a> { + text: &'a str, + bytes: &'a [u8], + pos: usize, +} + +impl Reader<'_> { + fn malformed(&self) -> CrsParseError { + CrsParseError::Malformed { + format: PROJJSON_FORMAT, + offset: self.pos, + } + } + + fn peek(&self) -> Option { + self.bytes.get(self.pos).copied() + } + + fn skip_space(&mut self) { + while matches!(self.peek(), Some(b' ' | b'\t' | b'\n' | b'\r')) { + self.pos += 1; + } + } + + fn expect(&mut self, byte: u8) -> Result<(), CrsParseError> { + if self.peek() == Some(byte) { + self.pos += 1; + Ok(()) + } else { + Err(self.malformed()) + } + } + + fn literal(&mut self, word: &str, value: Json) -> Result { + if self.text[self.pos..].starts_with(word) { + self.pos += word.len(); + Ok(value) + } else { + Err(self.malformed()) + } + } + + fn value(&mut self, depth: usize) -> Result { + if depth >= MAX_DEPTH { + return Err(self.malformed()); + } + match self.peek() { + Some(b'{') => self.object(depth), + Some(b'[') => self.array(depth), + Some(b'"') => self.string().map(Json::String), + Some(b't') => self.literal("true", Json::Bool(true)), + Some(b'f') => self.literal("false", Json::Bool(false)), + Some(b'n') => self.literal("null", Json::Null), + Some(b) if b == b'-' || b.is_ascii_digit() => self.number(), + _ => Err(self.malformed()), + } + } + + fn object(&mut self, depth: usize) -> Result { + self.pos += 1; + let mut members = Vec::new(); + self.skip_space(); + if self.peek() == Some(b'}') { + self.pos += 1; + return Ok(Json::Object(members)); + } + loop { + self.skip_space(); + let key = self.string()?; + self.skip_space(); + self.expect(b':')?; + self.skip_space(); + members.push((key, self.value(depth + 1)?)); + self.skip_space(); + match self.peek() { + Some(b',') => self.pos += 1, + Some(b'}') => { + self.pos += 1; + return Ok(Json::Object(members)); + } + _ => return Err(self.malformed()), + } + } + } + + fn array(&mut self, depth: usize) -> Result { + self.pos += 1; + let mut items = Vec::new(); + self.skip_space(); + if self.peek() == Some(b']') { + self.pos += 1; + return Ok(Json::Array(items)); + } + loop { + self.skip_space(); + items.push(self.value(depth + 1)?); + self.skip_space(); + match self.peek() { + Some(b',') => self.pos += 1, + Some(b']') => { + self.pos += 1; + return Ok(Json::Array(items)); + } + _ => return Err(self.malformed()), + } + } + } + + fn string(&mut self) -> Result { + self.expect(b'"')?; + let mut out = String::new(); + loop { + let rest = &self.text[self.pos..]; + let Some(stop) = rest.find(['"', '\\']) else { + return Err(self.malformed()); + }; + let run = &rest[..stop]; + if run.chars().any(|c| c < ' ') { + return Err(self.malformed()); + } + out.push_str(run); + self.pos += stop; + match self.peek() { + Some(b'"') => { + self.pos += 1; + return Ok(out); + } + _ => { + self.pos += 1; + self.escape(&mut out)?; + } + } + } + } + + fn escape(&mut self, out: &mut String) -> Result<(), CrsParseError> { + let c = match self.peek() { + Some(b'"') => '"', + Some(b'\\') => '\\', + Some(b'/') => '/', + Some(b'b') => '\u{8}', + Some(b'f') => '\u{c}', + Some(b'n') => '\n', + Some(b'r') => '\r', + Some(b't') => '\t', + Some(b'u') => { + self.pos += 1; + let first = self.hex4()?; + let code = if (0xD800..0xDC00).contains(&first) { + self.expect(b'\\')?; + self.expect(b'u')?; + let second = self.hex4()?; + if !(0xDC00..0xE000).contains(&second) { + return Err(self.malformed()); + } + 0x10000 + ((first - 0xD800) << 10) + (second - 0xDC00) + } else { + first + }; + let c = char::from_u32(code).ok_or_else(|| self.malformed())?; + out.push(c); + return Ok(()); + } + _ => return Err(self.malformed()), + }; + self.pos += 1; + out.push(c); + Ok(()) + } + + fn hex4(&mut self) -> Result { + let digits = self + .text + .get(self.pos..self.pos + 4) + .ok_or_else(|| self.malformed())?; + let value = u32::from_str_radix(digits, 16).map_err(|_| self.malformed())?; + self.pos += 4; + Ok(value) + } + + fn number(&mut self) -> Result { + let start = self.pos; + while self + .peek() + .is_some_and(|b| b.is_ascii_digit() || matches!(b, b'-' | b'+' | b'.' | b'e' | b'E')) + { + self.pos += 1; + } + let value: f64 = + self.text[start..self.pos] + .parse() + .map_err(|_| CrsParseError::Malformed { + format: PROJJSON_FORMAT, + offset: start, + })?; + if value.is_finite() { + Ok(Json::Number(value)) + } else { + Err(CrsParseError::Malformed { + format: PROJJSON_FORMAT, + offset: start, + }) + } + } +} + +/// Append `text` as a JSON string. +pub(crate) fn push_json_string(out: &mut String, text: &str) { + out.push('"'); + for c in text.chars() { + match c { + '"' => out.push_str("\\\""), + '\\' => out.push_str("\\\\"), + '\n' => out.push_str("\\n"), + '\r' => out.push_str("\\r"), + '\t' => out.push_str("\\t"), + c if c < ' ' => { + let _ = core::fmt::Write::write_fmt(out, format_args!("\\u{:04x}", u32::from(c))); + } + c => out.push(c), + } + } + out.push('"'); +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn values_and_escapes() { + let v = parse_json(r#" {"a": [1, -2.5e1, true, null], "b": "x\"é😀\n"} "#).unwrap(); + assert_eq!( + v.get("a").and_then(Json::as_array).map(<[Json]>::len), + Some(4) + ); + assert_eq!( + v.get("a").and_then(|a| a.as_array()?.get(1)?.as_f64()), + Some(-25.0) + ); + assert_eq!(v.get("b").and_then(Json::as_str), Some("x\"é😀\n")); + let mut out = String::new(); + push_json_string(&mut out, "x\"é\n\u{1}"); + assert_eq!( + parse_json(&out).unwrap(), + Json::String("x\"é\n\u{1}".into()) + ); + } + + #[test] + fn malformed_input_names_the_offset() { + for bad in [ + "", + "{", + "{\"a\" 1}", + "[1,]", + "\"x", + "tru", + "1e999", + "{} x", + "\"\u{1}\"", + ] { + assert!( + matches!(parse_json(bad), Err(CrsParseError::Malformed { .. })), + "{bad}" + ); + } + let deep = "[".repeat(70) + &"]".repeat(70); + assert!(parse_json(&deep).is_err()); + } +} diff --git a/nodedb-crs/src/parse/methods/azimuthal.rs b/nodedb-crs/src/parse/methods/azimuthal.rs new file mode 100644 index 000000000..c95130ace --- /dev/null +++ b/nodedb-crs/src/parse/methods/azimuthal.rs @@ -0,0 +1,93 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Azimuthal and perspective methods: stereographic, Lambert azimuthal +//! equal area, azimuthal equidistant and geostationary satellite. + +use super::params::{ + FE, FN, GEOS_PARAMS, K0_NAT, LAT_NAT, LAT_STD, LON_NAT, LON_ORIG, NATURAL_ORIGIN, +}; +use super::spec::{Derive, MethodSpec, method}; + +pub(super) const POLAR_A: MethodSpec = method( + "Polar Stereographic (variant A)", + Some(9810), + "stere", + &[], + &[LAT_NAT, LON_NAT, K0_NAT, FE, FN], +); +pub(super) const POLAR_B: MethodSpec = MethodSpec { + name: "Polar Stereographic (variant B)", + code: Some(9829), + proj: "stere", + flags: &[], + params: &[LAT_STD, LON_ORIG, FE, FN, LAT_NAT, K0_NAT], + derive: Derive::PolarLatitudeFromStandardParallel, +}; +pub(super) const STERE: MethodSpec = method( + "Stereographic", + None, + "stere", + &[], + &[LAT_NAT, LON_NAT, K0_NAT, FE, FN, LAT_STD], +); +pub(super) const STEREA: MethodSpec = method( + "Oblique Stereographic", + Some(9809), + "sterea", + &[], + &[LAT_NAT, LON_NAT, K0_NAT, FE, FN], +); +pub(super) const LAEA: MethodSpec = method( + "Lambert Azimuthal Equal Area", + Some(9820), + "laea", + &[], + NATURAL_ORIGIN, +); +pub(super) const AEQD: MethodSpec = method( + "Azimuthal Equidistant", + Some(1125), + "aeqd", + &[], + NATURAL_ORIGIN, +); +pub(super) const GUAM: MethodSpec = method( + "Guam Projection", + Some(9831), + "aeqd", + &["guam"], + NATURAL_ORIGIN, +); +pub(super) const GEOS_Y: MethodSpec = method( + "Geostationary Satellite (Sweep Y)", + None, + "geos", + &[], + GEOS_PARAMS, +); +pub(super) const GEOS_X: MethodSpec = method( + "Geostationary Satellite (Sweep X)", + None, + "geos", + &["sweep=x"], + GEOS_PARAMS, +); + +/// Methods readers accept and writers never pick: aliases of a writer +/// method with their own parameter sets. +pub(super) const READ_ONLY: &[MethodSpec] = &[ + method( + "Lambert Azimuthal Equal Area (Spherical)", + Some(1027), + "laea", + &[], + NATURAL_ORIGIN, + ), + method( + "Modified Azimuthal Equidistant", + Some(9832), + "aeqd", + &[], + NATURAL_ORIGIN, + ), +]; diff --git a/nodedb-crs/src/parse/methods/conic.rs b/nodedb-crs/src/parse/methods/conic.rs new file mode 100644 index 000000000..63d56a2e0 --- /dev/null +++ b/nodedb-crs/src/parse/methods/conic.rs @@ -0,0 +1,103 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Conic methods: Lambert Conic Conformal, Albers, American Polyconic and +//! Krovak. + +use super::params::{ + E_FO, K0_NAT, KROVAK_PARAMS, LAT_1, LAT_2, LAT_FO, LCC_1SP_PARAMS, LCC_2SP_PARAMS, LON_FO, + N_FO, NATURAL_ORIGIN, +}; +use super::spec::{Angle, MethodSpec, Scale, method, param}; + +pub(super) const LCC_2SP: MethodSpec = method( + "Lambert Conic Conformal (2SP)", + Some(9802), + "lcc", + &[], + LCC_2SP_PARAMS, +); +pub(super) const AEA: MethodSpec = method( + "Albers Equal Area", + Some(9822), + "aea", + &[], + &[LAT_FO, LON_FO, LAT_1, LAT_2, E_FO, N_FO], +); +pub(super) const POLY: MethodSpec = method( + "American Polyconic", + Some(9818), + "poly", + &[], + NATURAL_ORIGIN, +); +pub(super) const KROVAK: MethodSpec = + method("Krovak", Some(9819), "krovak", &["czech"], KROVAK_PARAMS); +pub(super) const KROVAK_NORTH: MethodSpec = method( + "Krovak (North Orientated)", + Some(1041), + "krovak", + &[], + KROVAK_PARAMS, +); +pub(super) const KROVAK_MOD: MethodSpec = method( + "Krovak Modified", + Some(1042), + "mod_krovak", + &["czech"], + KROVAK_PARAMS, +); +pub(super) const KROVAK_MOD_NORTH: MethodSpec = method( + "Krovak Modified (North Orientated)", + Some(1043), + "mod_krovak", + &[], + KROVAK_PARAMS, +); + +/// Methods readers accept and writers never pick: aliases of a writer +/// method with their own parameter sets. +pub(super) const READ_ONLY: &[MethodSpec] = &[ + method( + "Lambert Conic Conformal (1SP)", + Some(9801), + "lcc", + &[], + LCC_1SP_PARAMS, + ), + method( + "Lambert Conic Conformal (West Orientated)", + Some(9826), + "lcc", + &[], + LCC_1SP_PARAMS, + ), + method( + "Lambert Conic Conformal (2SP Michigan)", + Some(1051), + "lcc", + &[], + &[ + LAT_FO, + LON_FO, + LAT_1, + LAT_2, + E_FO, + N_FO, + param("Ellipsoid scaling factor", 1038, Scale, &["k_0"]), + ], + ), + method( + "Lambert Conic Conformal (1SP variant B)", + Some(1102), + "lcc", + &[], + &[ + param("Latitude of natural origin", 8801, Angle, &["lat_1"]), + K0_NAT, + LAT_FO, + LON_FO, + E_FO, + N_FO, + ], + ), +]; diff --git a/nodedb-crs/src/parse/methods/cylindrical.rs b/nodedb-crs/src/parse/methods/cylindrical.rs new file mode 100644 index 000000000..30d2416ed --- /dev/null +++ b/nodedb-crs/src/parse/methods/cylindrical.rs @@ -0,0 +1,53 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Equal-area and equidistant cylindrical methods, Cassini-Soldner and the +//! pseudocylindrical Sinusoidal and Equal Earth. + +use super::params::{FE, FN, K0_NAT, LAT_NAT, LAT_TS_1, LON_NAT, LONGITUDE_ONLY, NATURAL_ORIGIN}; +use super::spec::{MethodSpec, method}; + +pub(super) const CEA: MethodSpec = method( + "Lambert Cylindrical Equal Area", + Some(9835), + "cea", + &[], + &[LAT_TS_1, LON_NAT, FE, FN, K0_NAT], +); +pub(super) const EQC: MethodSpec = method( + "Equidistant Cylindrical", + Some(1028), + "eqc", + &[], + &[LAT_TS_1, LAT_NAT, LON_NAT, FE, FN], +); +pub(super) const CASS: MethodSpec = + method("Cassini-Soldner", Some(9806), "cass", &[], NATURAL_ORIGIN); +pub(super) const HYPERBOLIC_CASS: MethodSpec = method( + "Hyperbolic Cassini-Soldner", + Some(9833), + "cass", + &["hyperbolic"], + NATURAL_ORIGIN, +); +pub(super) const SINU: MethodSpec = method("Sinusoidal", None, "sinu", &[], LONGITUDE_ONLY); +pub(super) const EQEARTH: MethodSpec = + method("Equal Earth", Some(1078), "eqearth", &[], LONGITUDE_ONLY); + +/// Methods readers accept and writers never pick: aliases of a writer +/// method with their own parameter sets. +pub(super) const READ_ONLY: &[MethodSpec] = &[ + method( + "Lambert Cylindrical Equal Area (Spherical)", + Some(9834), + "cea", + &[], + &[LAT_TS_1, LON_NAT, FE, FN], + ), + method( + "Equidistant Cylindrical (Spherical)", + Some(1029), + "eqc", + &[], + &[LAT_TS_1, LAT_NAT, LON_NAT, FE, FN], + ), +]; diff --git a/nodedb-crs/src/parse/methods/lookup.rs b/nodedb-crs/src/parse/methods/lookup.rs new file mode 100644 index 000000000..39d377064 --- /dev/null +++ b/nodedb-crs/src/parse/methods/lookup.rs @@ -0,0 +1,169 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Method lookup: readers by EPSG code or name, writers by projection +//! shape. + +use super::super::model::normalize_name; +use super::azimuthal::{AEQD, GEOS_X, GEOS_Y, GUAM, LAEA, POLAR_A, POLAR_B, STERE, STEREA}; +use super::conic::{AEA, KROVAK, KROVAK_MOD, KROVAK_MOD_NORTH, KROVAK_NORTH, LCC_2SP, POLY}; +use super::cylindrical::{CASS, CEA, EQC, EQEARTH, HYPERBOLIC_CASS, SINU}; +use super::mercator::{HOM_A, HOM_B, LABRD, MERC_A, MERC_B, NZMG, SOMERC, TMERC, WEBMERC}; +use super::spec::MethodSpec; +use super::{azimuthal, conic, cylindrical, mercator}; +use crate::method::{HomVariant, ProjectionDef, SweepAxis}; + +/// Every method a writer picks. +const WRITERS: &[MethodSpec] = &[ + TMERC, + HOM_A, + HOM_B, + LCC_2SP, + MERC_A, + MERC_B, + WEBMERC, + CEA, + EQC, + POLAR_A, + POLAR_B, + STERE, + STEREA, + AEA, + LAEA, + CASS, + HYPERBOLIC_CASS, + POLY, + AEQD, + GUAM, + SINU, + EQEARTH, + KROVAK, + KROVAK_NORTH, + KROVAK_MOD, + KROVAK_MOD_NORTH, + SOMERC, + NZMG, + GEOS_Y, + GEOS_X, + LABRD, +]; + +/// The read-only aliases of every family. +const READ_ONLY: &[&[MethodSpec]] = &[ + mercator::READ_ONLY, + conic::READ_ONLY, + cylindrical::READ_ONLY, + azimuthal::READ_ONLY, +]; + +/// Every method: the writer methods, then the read-only aliases. +fn all_methods() -> impl Iterator { + WRITERS + .iter() + .chain(READ_ONLY.iter().flat_map(|family| family.iter())) +} + +/// The method with EPSG `code`, else the one named `name`. +pub(crate) fn method_by(code: Option, name: &str) -> Option<&'static MethodSpec> { + if let Some(code) = code + && let Some(found) = all_methods().find(|m| m.code == Some(code)) + { + return Some(found); + } + let normalized = normalize_name(name); + all_methods().find(|m| normalize_name(m.name) == normalized) +} + +/// The method a writer names `projection` by. +pub(crate) fn writer_spec(projection: &ProjectionDef) -> &'static MethodSpec { + match projection { + ProjectionDef::TransverseMercator(_) => &TMERC, + ProjectionDef::HotineObliqueMercator(p) => match p.variant { + HomVariant::A => &HOM_A, + HomVariant::B => &HOM_B, + }, + ProjectionDef::LambertConicConformal(_) => &LCC_2SP, + ProjectionDef::Mercator(p) => match p.lat_ts_deg { + Some(_) => &MERC_B, + None => &MERC_A, + }, + ProjectionDef::PseudoMercator(_) => &WEBMERC, + ProjectionDef::LambertCylindricalEqualArea(_) => &CEA, + ProjectionDef::EquidistantCylindrical(_) => &EQC, + ProjectionDef::Stereographic(p) => match (p.lat0_deg.abs() == 90.0, p.lat_ts_deg) { + (true, None) => &POLAR_A, + (true, Some(_)) => &POLAR_B, + (false, _) => &STERE, + }, + ProjectionDef::ObliqueStereographic(_) => &STEREA, + ProjectionDef::AlbersEqualArea(_) => &AEA, + ProjectionDef::LambertAzimuthalEqualArea(_) => &LAEA, + ProjectionDef::CassiniSoldner(p) => { + if p.hyperbolic { + &HYPERBOLIC_CASS + } else { + &CASS + } + } + ProjectionDef::AmericanPolyconic(_) => &POLY, + ProjectionDef::AzimuthalEquidistant(p) => { + if p.guam { + &GUAM + } else { + &AEQD + } + } + ProjectionDef::Sinusoidal(_) => &SINU, + ProjectionDef::EqualEarth(_) => &EQEARTH, + ProjectionDef::Krovak(p) => match (p.modified, p.czech) { + (false, true) => &KROVAK, + (false, false) => &KROVAK_NORTH, + (true, true) => &KROVAK_MOD, + (true, false) => &KROVAK_MOD_NORTH, + }, + ProjectionDef::SwissObliqueMercator(_) => &SOMERC, + ProjectionDef::NewZealandMapGrid(_) => &NZMG, + ProjectionDef::GeostationarySatellite(p) => match p.sweep { + SweepAxis::X => &GEOS_X, + SweepAxis::Y => &GEOS_Y, + }, + ProjectionDef::LabordeObliqueMercator(_) => &LABRD, + } +} + +#[cfg(test)] +mod tests { + use super::super::spec::Target; + use super::*; + + #[test] + fn codes_and_names_are_unique() { + let all: Vec<&MethodSpec> = all_methods().collect(); + for (i, a) in all.iter().enumerate() { + for b in &all[i + 1..] { + assert_ne!(normalize_name(a.name), normalize_name(b.name), "{}", a.name); + if a.code.is_some() { + assert_ne!(a.code, b.code, "{}", a.name); + } + } + } + } + + #[test] + fn lookup_by_code_then_name() { + assert_eq!( + method_by(Some(9807), "anything").map(|m| m.proj), + Some("tmerc") + ); + assert_eq!( + method_by(None, "hotine_oblique_mercator (variant b)").map(|m| m.code), + Some(Some(9815)) + ); + assert!(method_by(Some(1), "Bonne").is_none()); + let hom = method_by(Some(9812), "").unwrap(); + assert_eq!( + hom.param(None, "Azimuth at projection centre") + .map(|p| p.target), + Some(Target::Keys(&["alpha"])) + ); + } +} diff --git a/nodedb-crs/src/parse/methods/mercator.rs b/nodedb-crs/src/parse/methods/mercator.rs new file mode 100644 index 000000000..e462ba9f3 --- /dev/null +++ b/nodedb-crs/src/parse/methods/mercator.rs @@ -0,0 +1,109 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Mercator, transverse and oblique Mercator, and the other conformal +//! grids: Swiss, Laborde and the New Zealand Map Grid. + +use super::params::{ + AZI, FE, FN, HOM_A_PARAMS, HOM_B_PARAMS, K_IL, K_NAT, K0_IL, K0_NAT, LAT_NAT, LAT_PC, LAT_TS_1, + LON_NAT, LON_PC, NATURAL_ORIGIN, +}; +use super::spec::{Angle, MethodSpec, fixed, method}; + +pub(super) const TMERC: MethodSpec = method( + "Transverse Mercator", + Some(9807), + "tmerc", + &[], + &[LAT_NAT, LON_NAT, K_NAT, FE, FN], +); +pub(super) const HOM_A: MethodSpec = method( + "Hotine Oblique Mercator (variant A)", + Some(9812), + "omerc", + &["no_uoff"], + HOM_A_PARAMS, +); +pub(super) const HOM_B: MethodSpec = method( + "Hotine Oblique Mercator (variant B)", + Some(9815), + "omerc", + &[], + HOM_B_PARAMS, +); +pub(super) const MERC_A: MethodSpec = method( + "Mercator (variant A)", + Some(9804), + "merc", + &[], + &[ + fixed("Latitude of natural origin", 8801, Angle, 0.0), + LON_NAT, + K0_NAT, + FE, + FN, + ], +); +pub(super) const MERC_B: MethodSpec = method( + "Mercator (variant B)", + Some(9805), + "merc", + &[], + &[LAT_TS_1, LON_NAT, FE, FN], +); +pub(super) const WEBMERC: MethodSpec = method( + "Popular Visualisation Pseudo Mercator", + Some(1024), + "webmerc", + &[], + &[ + fixed("Latitude of natural origin", 8801, Angle, 0.0), + LON_NAT, + FE, + FN, + ], +); +pub(super) const SOMERC: MethodSpec = method( + "Swiss Oblique Cylindrical", + Some(9814), + "somerc", + &[], + &[LAT_PC, LON_PC, FE, FN, K0_IL], +); +pub(super) const LABRD: MethodSpec = method( + "Laborde Oblique Mercator", + Some(9813), + "labrd", + &[], + &[LAT_PC, LON_PC, AZI, K_IL, FE, FN], +); +pub(super) const NZMG: MethodSpec = method( + "New Zealand Map Grid", + Some(9811), + "nzmg", + &[], + NATURAL_ORIGIN, +); + +/// Methods readers accept and writers never pick: aliases of a writer +/// method with their own parameter sets. +pub(super) const READ_ONLY: &[MethodSpec] = &[ + method( + "Transverse Mercator (South Orientated)", + Some(9808), + "tmerc", + &[], + &[LAT_NAT, LON_NAT, K_NAT, FE, FN], + ), + method( + "Mercator (Spherical)", + Some(1026), + "merc", + &[], + &[ + fixed("Latitude of natural origin", 8801, Angle, 0.0), + LON_NAT, + FE, + FN, + ], + ), +]; diff --git a/nodedb-crs/src/parse/methods/mod.rs b/nodedb-crs/src/parse/methods/mod.rs new file mode 100644 index 000000000..8ca01e3cb --- /dev/null +++ b/nodedb-crs/src/parse/methods/mod.rs @@ -0,0 +1,21 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! EPSG projection methods and their parameters, mapped to PROJ keys. +//! +//! WKT2 and PROJJSON name a projection by its EPSG method and parameters. +//! Each [`MethodSpec`] maps one method to the PROJ `+proj` value and flags +//! the PROJ-string parser reads, and each [`ParamSpec`](spec::ParamSpec) maps one parameter +//! to the PROJ keys it sets. Readers look a method up by EPSG code, then by +//! name. Writers pick one method per projection shape. Each method family +//! has its own table file. + +pub(super) mod azimuthal; +pub(super) mod conic; +pub(super) mod cylindrical; +pub(super) mod lookup; +pub(super) mod mercator; +pub(super) mod params; +pub(super) mod spec; + +pub(crate) use lookup::{method_by, writer_spec}; +pub(crate) use spec::{Derive, FLAG_KEYS, MethodSpec, ParamKind, Target}; diff --git a/nodedb-crs/src/parse/methods/params.rs b/nodedb-crs/src/parse/methods/params.rs new file mode 100644 index 000000000..16eba5464 --- /dev/null +++ b/nodedb-crs/src/parse/methods/params.rs @@ -0,0 +1,82 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! EPSG parameters and parameter sets the method families share. + +use super::spec::{Angle, Length, ParamSpec, Scale, Target, fixed, param}; + +pub(super) const LAT_NAT: ParamSpec = param("Latitude of natural origin", 8801, Angle, &["lat_0"]); +pub(super) const LON_NAT: ParamSpec = param("Longitude of natural origin", 8802, Angle, &["lon_0"]); +pub(super) const K_NAT: ParamSpec = param("Scale factor at natural origin", 8805, Scale, &["k"]); +pub(super) const K0_NAT: ParamSpec = param("Scale factor at natural origin", 8805, Scale, &["k_0"]); +pub(super) const FE: ParamSpec = param("False easting", 8806, Length, &["x_0"]); +pub(super) const FN: ParamSpec = param("False northing", 8807, Length, &["y_0"]); +pub(super) const LAT_FO: ParamSpec = param("Latitude of false origin", 8821, Angle, &["lat_0"]); +pub(super) const LON_FO: ParamSpec = param("Longitude of false origin", 8822, Angle, &["lon_0"]); +pub(super) const LAT_1: ParamSpec = + param("Latitude of 1st standard parallel", 8823, Angle, &["lat_1"]); +pub(super) const LAT_2: ParamSpec = + param("Latitude of 2nd standard parallel", 8824, Angle, &["lat_2"]); +pub(super) const LAT_TS_1: ParamSpec = param( + "Latitude of 1st standard parallel", + 8823, + Angle, + &["lat_ts"], +); +pub(super) const E_FO: ParamSpec = param("Easting at false origin", 8826, Length, &["x_0"]); +pub(super) const N_FO: ParamSpec = param("Northing at false origin", 8827, Length, &["y_0"]); +pub(super) const LAT_PC: ParamSpec = + param("Latitude of projection centre", 8811, Angle, &["lat_0"]); +pub(super) const LONC_PC: ParamSpec = + param("Longitude of projection centre", 8812, Angle, &["lonc"]); +pub(super) const LON_PC: ParamSpec = + param("Longitude of projection centre", 8812, Angle, &["lon_0"]); +pub(super) const ALPHA: ParamSpec = param("Azimuth of initial line", 8813, Angle, &["alpha"]); +pub(super) const AZI: ParamSpec = param("Azimuth of initial line", 8813, Angle, &["azi"]); +pub(super) const GAMMA: ParamSpec = + param("Angle from Rectified to Skew Grid", 8814, Angle, &["gamma"]); +pub(super) const K_IL: ParamSpec = param("Scale factor on initial line", 8815, Scale, &["k"]); +pub(super) const K0_IL: ParamSpec = param("Scale factor on initial line", 8815, Scale, &["k_0"]); +pub(super) const E_PC: ParamSpec = param("Easting at projection centre", 8816, Length, &["x_0"]); +pub(super) const N_PC: ParamSpec = param("Northing at projection centre", 8817, Length, &["y_0"]); +pub(super) const LAT_STD: ParamSpec = + param("Latitude of standard parallel", 8832, Angle, &["lat_ts"]); +pub(super) const LON_ORIG: ParamSpec = param("Longitude of origin", 8833, Angle, &["lon_0"]); +pub(super) const SAT_HEIGHT: ParamSpec = ParamSpec { + name: "Satellite Height", + code: None, + kind: Length, + target: Target::Keys(&["h"]), +}; + +pub(super) const NATURAL_ORIGIN: &[ParamSpec] = &[LAT_NAT, LON_NAT, FE, FN]; +pub(super) const LONGITUDE_ONLY: &[ParamSpec] = &[LON_NAT, FE, FN]; +pub(super) const HOM_A_PARAMS: &[ParamSpec] = &[LAT_PC, LONC_PC, ALPHA, GAMMA, K_IL, FE, FN]; +pub(super) const HOM_B_PARAMS: &[ParamSpec] = &[LAT_PC, LONC_PC, ALPHA, GAMMA, K_IL, E_PC, N_PC]; +pub(super) const LCC_2SP_PARAMS: &[ParamSpec] = &[LAT_FO, LON_FO, LAT_1, LAT_2, E_FO, N_FO, K0_NAT]; +pub(super) const LCC_1SP_PARAMS: &[ParamSpec] = &[ + param( + "Latitude of natural origin", + 8801, + Angle, + &["lat_1", "lat_0"], + ), + LON_NAT, + K0_NAT, + FE, + FN, +]; +pub(super) const KROVAK_PARAMS: &[ParamSpec] = &[ + LAT_PC, + LON_ORIG, + param("Co-latitude of cone axis", 1036, Angle, &["alpha"]), + fixed("Latitude of pseudo standard parallel", 8818, Angle, 78.5), + param( + "Scale factor on pseudo standard parallel", + 8819, + Scale, + &["k"], + ), + FE, + FN, +]; +pub(super) const GEOS_PARAMS: &[ParamSpec] = &[SAT_HEIGHT, LON_NAT, FE, FN]; diff --git a/nodedb-crs/src/parse/methods/spec.rs b/nodedb-crs/src/parse/methods/spec.rs new file mode 100644 index 000000000..a30892c51 --- /dev/null +++ b/nodedb-crs/src/parse/methods/spec.rs @@ -0,0 +1,137 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The method and parameter specs every family table builds from. + +use super::super::model::{DEGREE_RAD, normalize_name}; + +/// What a parameter measures. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(crate) enum ParamKind { + /// Degrees in PROJ. + Angle, + /// Metres in PROJ. + Length, + /// A unitless factor. + Scale, +} + +impl ParamKind { + /// The factor of the unit PROJ reads this kind in: degree, metre or + /// unity. + pub(crate) fn canonical_factor(self) -> f64 { + match self { + ParamKind::Angle => DEGREE_RAD, + ParamKind::Length | ParamKind::Scale => 1.0, + } + } +} + +/// Where a parameter's value goes. +#[derive(Debug, Clone, Copy, PartialEq)] +pub(crate) enum Target { + /// Each PROJ key takes the value. Writers emit the first key. + Keys(&'static [&'static str]), + /// PROJ fixes the value. A reader refuses any other. + Fixed(f64), +} + +/// One EPSG parameter of a method. +#[derive(Debug, Clone, Copy, PartialEq)] +pub(crate) struct ParamSpec { + pub name: &'static str, + pub code: Option, + pub kind: ParamKind, + pub target: Target, +} + +/// A value a reader derives when the text leaves it out. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(crate) enum Derive { + None, + /// Polar Stereographic (variant B) has no origin latitude: the pole on + /// the side of the standard parallel. + PolarLatitudeFromStandardParallel, +} + +/// One EPSG method. +#[derive(Debug, Clone, Copy, PartialEq)] +pub(crate) struct MethodSpec { + pub name: &'static str, + pub code: Option, + /// The PROJ `+proj` value. + pub proj: &'static str, + /// PROJ tokens the method implies, such as `no_uoff` or `sweep=x`. + pub flags: &'static [&'static str], + pub params: &'static [ParamSpec], + pub derive: Derive, +} + +impl MethodSpec { + /// The parameter with EPSG `code`, else the one named `name`. + pub(crate) fn param(&self, code: Option, name: &str) -> Option<&'static ParamSpec> { + let code = code.or_else(|| param_code_alias(name)); + if let Some(code) = code + && let Some(found) = self.params.iter().find(|p| p.code == Some(code)) + { + return Some(found); + } + let normalized = normalize_name(name); + self.params + .iter() + .find(|p| normalize_name(p.name) == normalized) + } +} + +/// PROJ flags a parameter can carry under the `PROJ ` prefix. +pub(crate) const FLAG_KEYS: &[&str] = &["no_rot"]; + +/// The EPSG code of a parameter name PROJ wrote in another version. +fn param_code_alias(name: &str) -> Option { + match normalize_name(name).as_str() { + "azimuthatprojectioncentre" => Some(8813), + "scalefactoratprojectioncentre" => Some(8815), + _ => None, + } +} + +pub(super) const fn param( + name: &'static str, + code: u32, + kind: ParamKind, + key: &'static [&'static str], +) -> ParamSpec { + ParamSpec { + name, + code: Some(code), + kind, + target: Target::Keys(key), + } +} + +pub(super) const fn fixed(name: &'static str, code: u32, kind: ParamKind, value: f64) -> ParamSpec { + ParamSpec { + name, + code: Some(code), + kind, + target: Target::Fixed(value), + } +} + +pub(super) use ParamKind::{Angle, Length, Scale}; + +pub(super) const fn method( + name: &'static str, + code: Option, + proj: &'static str, + flags: &'static [&'static str], + params: &'static [ParamSpec], +) -> MethodSpec { + MethodSpec { + name, + code, + proj, + flags, + params, + derive: Derive::None, + } +} diff --git a/nodedb-crs/src/parse/mod.rs b/nodedb-crs/src/parse/mod.rs new file mode 100644 index 000000000..506740170 --- /dev/null +++ b/nodedb-crs/src/parse/mod.rs @@ -0,0 +1,26 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! CRS definition text: PROJ strings, WKT2 and PROJJSON, read and written. + +mod helmert_params; +mod json; +mod methods; +mod model; +pub mod proj_string; +pub mod proj_writer; +pub mod projjson; +pub mod projjson_writer; +#[cfg(test)] +mod round_trip_cases; +pub mod tokens; +mod unit_names; +pub mod wkt2; +mod wkt2_tree; +pub mod wkt2_writer; + +pub use json::PROJJSON_FORMAT; +pub use proj_string::{IMPLEMENTED_METHODS, parse_proj_string}; +pub use projjson::parse_projjson; +pub use tokens::{PROJ_FORMAT, ProjParams}; +pub use wkt2::parse_wkt2; +pub use wkt2_tree::WKT2_FORMAT; diff --git a/nodedb-crs/src/parse/model.rs b/nodedb-crs/src/parse/model.rs new file mode 100644 index 000000000..ffb4a6054 --- /dev/null +++ b/nodedb-crs/src/parse/model.rs @@ -0,0 +1,374 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The CRS model WKT2 and PROJJSON share: a datum, an optional conversion +//! named by its EPSG method and parameters, a linear unit, an axis order +//! and an area of use. +//! +//! Both parsers read text into this model, and [`build_def`] turns it into +//! a [`CrsDef`] through the PROJ-string parser, so every method, datum and +//! unit that parser supports reads the same way from every format. Both +//! writers go the other way through [`model_of`]. + +use core::fmt::Write; + +use super::methods::{Derive, FLAG_KEYS, MethodSpec, ParamKind, Target, method_by, writer_spec}; +use super::proj_string::parse_proj_string; +use crate::def::{AreaOfUse, AxisOrder, CrsDef, CrsKind, DatumShift, Ellipsoid}; +use crate::error::CrsParseError; +use crate::srid::Srid; + +/// Radians per degree. +pub(crate) const DEGREE_RAD: f64 = core::f64::consts::PI / 180.0; + +/// Radians per arc-second. +pub(crate) const ARC_SECOND_RAD: f64 = DEGREE_RAD / 3600.0; + +/// Parts per million as a scale. +pub(crate) const PPM: f64 = 1e-6; + +/// Relative distance within which a unit factor equals a canonical one. +/// Text forms print π-derived factors to 15 digits. An exact compare +/// misses the canonical factor and scales every angle by a rounding error. +const FACTOR_TOLERANCE: f64 = 1e-9; + +/// Name prefix of a parameter that carries a PROJ key no EPSG parameter +/// names. +pub(crate) const PROJ_PARAM_PREFIX: &str = "PROJ "; + +/// One CRS in the shared model. +#[derive(Debug, Clone, PartialEq)] +pub(crate) struct CrsModel { + pub name: String, + pub kind: CrsKind, + pub datum: DatumModel, + pub conversion: Option, + /// Metres per unit of projected coordinates. + pub metres_per_unit: f64, + pub axis: AxisOrder, + pub area_of_use: Option, +} + +/// The geodetic datum of a model. +#[derive(Debug, Clone, PartialEq)] +pub(crate) struct DatumModel { + pub ellipsoid: Ellipsoid, + pub prime_meridian_deg: f64, + pub epsg_code: Option, + pub to_wgs84: DatumShift, +} + +/// A map projection as an EPSG method and its parameters. +#[derive(Debug, Clone, PartialEq)] +pub(crate) struct ConversionModel { + pub method_name: String, + pub method_code: Option, + pub params: Vec, + /// Radians per unit of an angle parameter written without a unit. + pub default_angle_rad: f64, + /// Metres per unit of a length parameter written without a unit. + pub default_length_m: f64, +} + +/// One conversion parameter as written. +#[derive(Debug, Clone, PartialEq)] +pub(crate) struct ParamModel { + pub name: String, + pub code: Option, + pub value: f64, + /// The unit's factor to radians, metres or unity. `None` when the text + /// gives no unit. + pub factor: Option, + /// What the parameter measures, when the method names it. Writers name + /// the unit from it. + pub kind: Option, +} + +/// `value` in a unit of `factor`, expressed in the unit of `canonical`. +/// A factor within [`FACTOR_TOLERANCE`] of the canonical one keeps the +/// value as written. +pub(crate) fn convert(value: f64, factor: f64, canonical: f64) -> f64 { + if ((factor / canonical) - 1.0).abs() <= FACTOR_TOLERANCE { + value + } else { + value * factor / canonical + } +} + +/// Lower-case `text` with every character but letters and digits dropped, +/// so names compare without case, spaces or punctuation. +pub(crate) fn normalize_name(text: &str) -> String { + text.chars() + .filter(char::is_ascii_alphanumeric) + .map(|c| c.to_ascii_lowercase()) + .collect() +} + +/// Append formatted text. Writing to a `String` cannot fail. +fn push(out: &mut String, args: core::fmt::Arguments<'_>) { + let _ = out.write_fmt(args); +} + +/// Build the definition `model` describes, named `name` under `srid`. +pub(crate) fn build_def( + srid: Srid, + name: &str, + model: &CrsModel, + format: &'static str, +) -> Result { + let mut proj = String::new(); + match (&model.conversion, model.kind) { + (None, CrsKind::Geographic) => proj.push_str("+proj=longlat"), + (Some(conversion), CrsKind::Projected) => write_conversion(&mut proj, conversion, format)?, + (None, CrsKind::Projected) => { + return Err(CrsParseError::content( + format, + "a projected CRS needs a conversion", + )); + } + (Some(_), CrsKind::Geographic) => { + return Err(CrsParseError::content( + format, + "a geographic CRS has no conversion", + )); + } + } + let e = &model.datum.ellipsoid; + if e.is_sphere() { + push(&mut proj, format_args!(" +R={}", e.a)); + } else { + push(&mut proj, format_args!(" +a={} +rf={}", e.a, e.inv_f)); + } + if model.datum.prime_meridian_deg != 0.0 { + push( + &mut proj, + format_args!(" +pm={}", model.datum.prime_meridian_deg), + ); + } + if model.kind == CrsKind::Projected { + push( + &mut proj, + format_args!(" +to_meter={}", model.metres_per_unit), + ); + } + if !model.axis.is_enu() { + push(&mut proj, format_args!(" +axis={}", model.axis)); + } + let mut def = parse_proj_string(srid, name, &proj)?; + def.datum.to_wgs84 = model.datum.to_wgs84; + def.datum.epsg_code = model.datum.epsg_code; + def.area_of_use = model.area_of_use; + Ok(def) +} + +/// Append the PROJ parameters of `conversion`. +fn write_conversion( + out: &mut String, + conversion: &ConversionModel, + format: &'static str, +) -> Result<(), CrsParseError> { + let spec = method_by(conversion.method_code, &conversion.method_name).ok_or_else(|| { + CrsParseError::content( + format, + format!( + "projection method '{}' is not implemented", + conversion.method_name + ), + ) + })?; + push(out, format_args!("+proj={}", spec.proj)); + for flag in spec.flags { + push(out, format_args!(" +{flag}")); + } + let mut written: Vec<(&str, f64)> = Vec::new(); + for param in &conversion.params { + write_param(out, spec, conversion, param, format, &mut written)?; + } + match spec.derive { + Derive::None => {} + Derive::PolarLatitudeFromStandardParallel => { + let has_lat0 = written.iter().any(|(k, _)| *k == "lat_0"); + let lat_ts = written + .iter() + .find(|(k, _)| *k == "lat_ts") + .map(|(_, v)| *v); + if let (false, Some(lat_ts)) = (has_lat0, lat_ts) { + let pole = if lat_ts < 0.0 { -90.0 } else { 90.0 }; + push(out, format_args!(" +lat_0={pole}")); + } + } + } + Ok(()) +} + +/// Append one parameter, normalized to degrees, metres or unity. +fn write_param<'s>( + out: &mut String, + spec: &'s MethodSpec, + conversion: &ConversionModel, + param: &ParamModel, + format: &'static str, + written: &mut Vec<(&'s str, f64)>, +) -> Result<(), CrsParseError> { + if let Some(key) = param.name.strip_prefix(PROJ_PARAM_PREFIX) { + return write_proj_param(out, key, param.value, format); + } + let found = spec.param(param.code, ¶m.name).ok_or_else(|| { + CrsParseError::content( + format, + format!("method '{}' has no parameter '{}'", spec.name, param.name), + ) + })?; + let value = match found.kind { + ParamKind::Angle => convert( + param.value, + param.factor.unwrap_or(conversion.default_angle_rad), + DEGREE_RAD, + ), + ParamKind::Length => convert( + param.value, + param.factor.unwrap_or(conversion.default_length_m), + 1.0, + ), + ParamKind::Scale => convert(param.value, param.factor.unwrap_or(1.0), 1.0), + }; + match found.target { + Target::Keys(keys) => { + for &key in keys { + push(out, format_args!(" +{key}={value}")); + written.push((key, value)); + } + } + Target::Fixed(expected) => { + if (value - expected).abs() > FACTOR_TOLERANCE * expected.abs().max(1.0) { + return Err(CrsParseError::content( + format, + format!( + "parameter '{}' of method '{}' must be {expected}, found {value}", + found.name, spec.name + ), + )); + } + } + } + Ok(()) +} + +/// Append a parameter that carries a PROJ key directly. A flag key is +/// written when its value is not zero. +fn write_proj_param( + out: &mut String, + key: &str, + value: f64, + format: &'static str, +) -> Result<(), CrsParseError> { + if FLAG_KEYS.contains(&key) { + if value != 0.0 { + push(out, format_args!(" +{key}")); + } + return Ok(()); + } + if key.is_empty() || !key.bytes().all(|b| b.is_ascii_alphanumeric() || b == b'_') { + return Err(CrsParseError::content( + format, + format!("parameter '{PROJ_PARAM_PREFIX}{key}' names no PROJ key"), + )); + } + push(out, format_args!(" +{key}={value}")); + Ok(()) +} + +/// The model of `def`, for a writer. +pub(crate) fn model_of(def: &CrsDef) -> CrsModel { + CrsModel { + name: def.name.to_string(), + kind: def.kind, + datum: DatumModel { + ellipsoid: def.datum.ellipsoid, + prime_meridian_deg: def.datum.prime_meridian_deg, + epsg_code: def.datum.epsg_code, + to_wgs84: def.datum.to_wgs84, + }, + conversion: def.projection.as_ref().map(conversion_of), + metres_per_unit: def.unit.metres_per_unit, + axis: def.axis, + area_of_use: def.area_of_use, + } +} + +/// The conversion of `projection`: its writer method, each PROJ parameter +/// under its EPSG name, and every fixed parameter of the method. +fn conversion_of(projection: &crate::method::ProjectionDef) -> ConversionModel { + let spec = writer_spec(projection); + let mut text = String::new(); + projection.write_proj(&mut text); + let mut params = Vec::new(); + for token in text.split_whitespace() { + let token = token.trim_start_matches('+'); + let (key, value) = match token.split_once('=') { + Some((k, v)) => (k, Some(v)), + None => (token, None), + }; + if key == "proj" || spec.flags.contains(&token) { + continue; + } + let number = value.and_then(|v| v.parse::().ok()); + let found = spec.params.iter().find(|p| match p.target { + Target::Keys(keys) => keys.first() == Some(&key), + Target::Fixed(_) => false, + }); + match (found, number) { + (Some(p), Some(v)) => params.push(ParamModel { + name: p.name.to_string(), + code: p.code, + value: v, + factor: Some(p.kind.canonical_factor()), + kind: Some(p.kind), + }), + _ => params.push(ParamModel { + name: format!("{PROJ_PARAM_PREFIX}{key}"), + code: None, + value: number.unwrap_or(1.0), + factor: None, + kind: None, + }), + } + } + for p in spec.params { + if let Target::Fixed(v) = p.target { + params.push(ParamModel { + name: p.name.to_string(), + code: p.code, + value: v, + factor: Some(p.kind.canonical_factor()), + kind: Some(p.kind), + }); + } + } + ConversionModel { + method_name: spec.name.to_string(), + method_code: spec.code, + params, + default_angle_rad: DEGREE_RAD, + default_length_m: 1.0, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn near_canonical_factors_keep_the_value() { + assert_eq!(convert(102.25, 0.0174532925199433, DEGREE_RAD), 102.25); + assert_eq!(convert(1.5, 4.84813681109536e-6, ARC_SECOND_RAD), 1.5); + let grads = convert(100.0, core::f64::consts::PI / 200.0, DEGREE_RAD); + assert!((grads - 90.0).abs() < 1e-12); + assert_eq!(convert(1000.0, 0.3048, 1.0), 304.8); + } + + #[test] + fn names_normalize() { + assert_eq!(normalize_name("Transverse Mercator"), "transversemercator"); + assert_eq!(normalize_name("Transverse_Mercator"), "transversemercator"); + } +} diff --git a/nodedb-crs/src/parse/proj_string.rs b/nodedb-crs/src/parse/proj_string.rs new file mode 100644 index 000000000..8197b48c0 --- /dev/null +++ b/nodedb-crs/src/parse/proj_string.rs @@ -0,0 +1,513 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PROJ-string parser. +//! +//! Follows PROJ's defaults: GRS 1980 when no ellipsoid is given, the first +//! occurrence of a key wins, and explicit `+ellps` / `+towgs84` override +//! what `+datum` supplies. + +use super::tokens::{ProjParams, parse_number}; +use crate::def::{ + AxisOrder, CrsDef, CrsKind, Datum, DatumShift, Ellipsoid, Helmert, LinearUnit, + datum_by_proj_name, prime_meridian_by_proj_name, +}; +use crate::error::CrsParseError; +use crate::method::{ + AeaParams, AeqdParams, CassParams, CeaParams, EqEarthParams, EqcParams, GeosParams, HomParams, + HomVariant, KrovakParams, LabrdParams, LaeaParams, LccParams, MercParams, NzmgParams, + PolyParams, ProjectionDef, SinuParams, SomercParams, StereParams, StereaParams, TmParams, + WebMercParams, alpha_from_gamma, gamma_from_alpha, +}; +use crate::srid::Srid; + +/// The `+proj` values this parser implements, for error messages. +pub const IMPLEMENTED_METHODS: &str = "longlat, latlong, utm, tmerc, omerc, lcc, merc, webmerc, \ + cea, eqc, stere, ups, sterea, aea, laea, cass, poly, aeqd, sinu, eqearth, krovak, mod_krovak, \ + somerc, nzmg, geos, labrd"; + +/// UTM scale factor on the central meridian. +const UTM_K0: f64 = 0.9996; + +/// UTM false easting, metres. +const UTM_FALSE_EASTING: f64 = 500_000.0; + +/// UTM false northing in the southern hemisphere, metres. +const UTM_FALSE_NORTHING_SOUTH: f64 = 10_000_000.0; + +/// Number of UTM zones. +const UTM_ZONES: f64 = 60.0; + +/// Width of a UTM zone, degrees. +const UTM_ZONE_WIDTH_DEG: f64 = 6.0; + +/// Central meridian of zone 0, so zone z has λ0 = z · 6° − 183°. +const UTM_ZONE0_MERIDIAN_DEG: f64 = -183.0; + +/// Largest absolute latitude, degrees. +const MAX_LATITUDE_DEG: f64 = 90.0; + +/// Number of values in a 3-parameter `+towgs84`. +const TOWGS84_TRANSLATION_ONLY: usize = 3; + +/// Number of values in a 7-parameter `+towgs84`. +const TOWGS84_FULL: usize = 7; + +/// Parse a PROJ string into a CRS definition. The area of use stays +/// `None`: PROJ strings do not carry one. +pub fn parse_proj_string(srid: Srid, name: &str, text: &str) -> Result { + let p = ProjParams::tokenize(text)?; + let axis = match p.text("axis")? { + None => AxisOrder::ENU, + Some(v) => AxisOrder::parse(v)?, + }; + check_type(&p)?; + let method = p.text("proj")?.ok_or(CrsParseError::Missing { + key: "proj", + method: "crs", + })?; + let datum = parse_datum(&p)?; + let projection = match method { + "longlat" | "latlong" => None, + other => Some(parse_projection(&p, other, &datum.ellipsoid)?), + }; + let (kind, unit) = match projection { + None => (CrsKind::Geographic, LinearUnit::METRE), + Some(_) => (CrsKind::Projected, parse_unit(&p)?), + }; + Ok(CrsDef { + srid, + name: name.into(), + kind, + datum, + projection, + unit, + axis, + area_of_use: None, + }) +} + +/// The projection `+proj=method` names, read from `p`. +fn parse_projection( + p: &ProjParams<'_>, + method: &str, + ellipsoid: &Ellipsoid, +) -> Result { + Ok(match method { + "utm" => parse_utm(p)?, + "tmerc" => parse_tmerc(p)?, + "omerc" => parse_omerc(p, ellipsoid)?, + "lcc" => ProjectionDef::LambertConicConformal(LccParams::from_proj(p)?), + "merc" => ProjectionDef::Mercator(MercParams::from_proj(p)?), + "webmerc" => ProjectionDef::PseudoMercator(WebMercParams::from_proj(p)?), + "cea" => ProjectionDef::LambertCylindricalEqualArea(CeaParams::from_proj(p)?), + "eqc" => ProjectionDef::EquidistantCylindrical(EqcParams::from_proj(p)?), + "stere" => ProjectionDef::Stereographic(StereParams::from_proj(p)?), + // PROJ defines UPS on an ellipsoid only. + "ups" if ellipsoid.is_sphere() => return Err(CrsParseError::invalid("proj", "ups")), + "ups" => ProjectionDef::Stereographic(StereParams::from_proj_ups(p)), + "sterea" => ProjectionDef::ObliqueStereographic(StereaParams::from_proj(p)?), + "aea" => ProjectionDef::AlbersEqualArea(AeaParams::from_proj(p)?), + "laea" => ProjectionDef::LambertAzimuthalEqualArea(LaeaParams::from_proj(p)?), + "cass" => ProjectionDef::CassiniSoldner(CassParams::from_proj(p)?), + "poly" => ProjectionDef::AmericanPolyconic(PolyParams::from_proj(p)?), + "aeqd" => ProjectionDef::AzimuthalEquidistant(AeqdParams::from_proj(p)?), + "sinu" => ProjectionDef::Sinusoidal(SinuParams::from_proj(p)?), + "eqearth" => ProjectionDef::EqualEarth(EqEarthParams::from_proj(p)?), + "krovak" | "mod_krovak" => ProjectionDef::Krovak(KrovakParams::from_proj(p)?), + "somerc" => ProjectionDef::SwissObliqueMercator(SomercParams::from_proj(p)?), + "nzmg" => ProjectionDef::NewZealandMapGrid(NzmgParams::from_proj(p)?), + "geos" => ProjectionDef::GeostationarySatellite(GeosParams::from_proj(p)?), + "labrd" => ProjectionDef::LabordeObliqueMercator(LabrdParams::from_proj(p)?), + other => { + return Err(CrsParseError::UnsupportedMethod { + method: other.into(), + implemented: IMPLEMENTED_METHODS, + }); + } + }) +} + +/// Accept `+type=crs` only. +fn check_type(p: &ProjParams<'_>) -> Result<(), CrsParseError> { + match p.text("type")? { + None | Some("crs") => Ok(()), + Some(other) => Err(CrsParseError::invalid("type", other)), + } +} + +/// Fail unless `value` is finite and above zero. +fn positive(key: &str, value: f64) -> Result { + if value > 0.0 && value.is_finite() { + Ok(value) + } else { + Err(CrsParseError::invalid(key, &value.to_string())) + } +} + +/// Fail unless `value` is a latitude strictly inside ±90°. +fn open_latitude(key: &str, value: f64) -> Result { + if value.abs() < MAX_LATITUDE_DEG { + Ok(value) + } else { + Err(CrsParseError::invalid(key, &value.to_string())) + } +} + +/// Fail unless `value` is a latitude within ±90°, poles included. +fn closed_latitude(key: &str, value: f64) -> Result { + if value.abs() <= MAX_LATITUDE_DEG { + Ok(value) + } else { + Err(CrsParseError::invalid(key, &value.to_string())) + } +} + +fn parse_datum(p: &ProjParams<'_>) -> Result { + let named = match p.text("datum")? { + None => None, + Some(n) => Some(datum_by_proj_name(n).ok_or_else(|| CrsParseError::invalid("datum", n))?), + }; + let ellipsoid = parse_ellipsoid(p, named.map(|d| d.ellipsoid))?; + let to_wgs84 = match p.text("towgs84")? { + Some(v) => DatumShift::Helmert(parse_towgs84(v)?), + None => named.map_or(DatumShift::Identity, |d| d.shift), + }; + let prime_meridian_deg = match p.text("pm")? { + None => 0.0, + Some(v) => match prime_meridian_by_proj_name(v) { + Some(deg) => deg, + None => parse_number("pm", v)?, + }, + }; + Ok(Datum { + ellipsoid, + prime_meridian_deg, + to_wgs84, + // PROJ strings carry no EPSG datum code. + epsg_code: None, + }) +} + +/// Resolve the ellipsoid: `+R` wins, then `+ellps` (or the datum's), then +/// `+a` and a shape key (`+rf`, `+f`, `+b`) override parts of it. +fn parse_ellipsoid( + p: &ProjParams<'_>, + datum_ellipsoid: Option, +) -> Result { + if let Some(r) = p.number("R")? { + return Ok(Ellipsoid::sphere(positive("R", r)?)); + } + let explicit_a = p.number("a")?; + let named = match p.text("ellps")? { + None => None, + Some(n) => { + Some(Ellipsoid::by_proj_name(n).ok_or_else(|| CrsParseError::invalid("ellps", n))?) + } + }; + let base = match (named.or(datum_ellipsoid), explicit_a) { + (Some(e), _) => e, + // PROJ reads a bare `+a` with no shape as a sphere. + (None, Some(a)) => Ellipsoid::sphere(a), + (None, None) => Ellipsoid::GRS80, + }; + let a = positive("a", explicit_a.unwrap_or(base.a))?; + let inv_f = if let Some(rf) = p.number("rf")? { + positive("rf", rf)? + } else if let Some(f) = p.number("f")? { + if f == 0.0 { + 0.0 + } else { + 1.0 / positive("f", f)? + } + } else if let Some(b) = p.number("b")? { + if b == a { + 0.0 + } else if b > 0.0 && b < a { + a / (a - b) + } else { + return Err(CrsParseError::invalid("b", &b.to_string())); + } + } else { + base.inv_f + }; + Ok(Ellipsoid { a, inv_f }) +} + +/// Parse 3 or 7 comma-separated `+towgs84` values, position-vector +/// convention. +fn parse_towgs84(text: &str) -> Result { + let mut values = [0.0; TOWGS84_FULL]; + let mut count = 0; + for part in text.split(',') { + let slot = values + .get_mut(count) + .ok_or_else(|| CrsParseError::invalid("towgs84", text))?; + *slot = parse_number("towgs84", part.trim())?; + count += 1; + } + if count != TOWGS84_TRANSLATION_ONLY && count != TOWGS84_FULL { + return Err(CrsParseError::invalid("towgs84", text)); + } + Ok(Helmert::position_vector(values)) +} + +fn parse_unit(p: &ProjParams<'_>) -> Result { + if let Some(m) = p.number("to_meter")? { + return Ok(LinearUnit { + metres_per_unit: positive("to_meter", m)?, + }); + } + match p.text("units")? { + None => Ok(LinearUnit::METRE), + Some(n) => LinearUnit::by_proj_name(n).ok_or_else(|| CrsParseError::invalid("units", n)), + } +} + +fn parse_utm(p: &ProjParams<'_>) -> Result { + let zone_text = p.text("zone")?.ok_or(CrsParseError::Missing { + key: "zone", + method: "utm", + })?; + let zone = parse_number("zone", zone_text)?; + if zone.fract() != 0.0 || !(1.0..=UTM_ZONES).contains(&zone) { + return Err(CrsParseError::invalid("zone", zone_text)); + } + let false_northing = if p.has("south") { + UTM_FALSE_NORTHING_SOUTH + } else { + 0.0 + }; + Ok(ProjectionDef::TransverseMercator(TmParams { + lat0_deg: 0.0, + lon0_deg: zone * UTM_ZONE_WIDTH_DEG + UTM_ZONE0_MERIDIAN_DEG, + k0: UTM_K0, + false_easting: UTM_FALSE_EASTING, + false_northing, + })) +} + +fn parse_tmerc(p: &ProjParams<'_>) -> Result { + Ok(ProjectionDef::TransverseMercator(TmParams { + // PROJ accepts a pole as the TM origin latitude, as EPSG:2081 uses. + lat0_deg: closed_latitude("lat_0", p.number_or("lat_0", 0.0)?)?, + lon0_deg: p.number_or("lon_0", 0.0)?, + k0: positive("k", p.number_any(&["k", "k_0"])?.unwrap_or(1.0))?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + })) +} + +fn parse_omerc(p: &ProjParams<'_>, ellipsoid: &Ellipsoid) -> Result { + let lat_c_deg = open_latitude("lat_0", p.number_or("lat_0", 0.0)?)?; + let (alpha_c_deg, gamma_c_deg) = match (p.number("alpha")?, p.number("gamma")?) { + (Some(alpha), Some(gamma)) => (alpha, gamma), + (Some(alpha), None) => (alpha, gamma_from_alpha(lat_c_deg, alpha, ellipsoid)), + (None, Some(gamma)) => (alpha_from_gamma(lat_c_deg, gamma, ellipsoid), gamma), + (None, None) => { + return Err(CrsParseError::Missing { + key: "alpha", + method: "omerc", + }); + } + }; + if !alpha_c_deg.is_finite() || !gamma_c_deg.is_finite() { + return Err(CrsParseError::invalid("alpha", &alpha_c_deg.to_string())); + } + let variant = if p.has("no_uoff") || p.has("no_off") { + HomVariant::A + } else { + HomVariant::B + }; + Ok(ProjectionDef::HotineObliqueMercator(HomParams { + variant, + lat_c_deg, + lon_c_deg: p.number_or("lonc", 0.0)?, + alpha_c_deg, + gamma_c_deg, + k_c: positive("k", p.number_any(&["k", "k_0"])?.unwrap_or(1.0))?, + false_easting: p.number_or("x_0", 0.0)?, + false_northing: p.number_or("y_0", 0.0)?, + no_rot: p.has("no_rot"), + })) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn parse(text: &str) -> Result { + parse_proj_string(Srid::WGS84, "test", text) + } + + #[test] + fn wgs84_geographic() { + let def = parse("+proj=longlat +datum=WGS84 +no_defs").unwrap(); + assert_eq!(def.kind, CrsKind::Geographic); + assert_eq!(def.datum, Datum::WGS84); + assert!(def.projection.is_none()); + } + + #[test] + fn utm_zone_48_north_and_south() { + let def = parse("+proj=utm +zone=48 +datum=WGS84 +units=m +no_defs").unwrap(); + let Some(ProjectionDef::TransverseMercator(tm)) = def.projection else { + panic!("expected tmerc"); + }; + assert_eq!(tm.lon0_deg, 105.0); + assert_eq!(tm.false_northing, 0.0); + let def = parse("+proj=utm +zone=1 +south +ellps=WGS84").unwrap(); + let Some(ProjectionDef::TransverseMercator(tm)) = def.projection else { + panic!("expected tmerc"); + }; + assert_eq!(tm.lon0_deg, -177.0); + assert_eq!(tm.false_northing, 10_000_000.0); + assert!(parse("+proj=utm +zone=61").is_err()); + assert!(parse("+proj=utm +zone=4.5").is_err()); + assert_eq!( + parse("+proj=utm"), + Err(CrsParseError::Missing { + key: "zone", + method: "utm" + }) + ); + } + + #[test] + fn rso_omerc_matches_epsg_3375() { + let def = parse( + "+proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.025796466667 \ + +gamma=323.130102361111 +k=0.99984 +x_0=804671 +y_0=0 +ellps=GRS80 +units=m +no_defs", + ) + .unwrap(); + let Some(ProjectionDef::HotineObliqueMercator(hom)) = def.projection else { + panic!("expected omerc"); + }; + assert_eq!(hom.variant, HomVariant::A); + assert_eq!(hom.k_c, 0.99984); + assert_eq!(def.datum.ellipsoid, Ellipsoid::GRS80); + } + + #[test] + fn omerc_without_gamma_uses_gamma0() { + let def = parse("+proj=omerc +lat_0=4 +lonc=115 +alpha=53.31580995 +k=0.99984").unwrap(); + let Some(ProjectionDef::HotineObliqueMercator(hom)) = def.projection else { + panic!("expected omerc"); + }; + assert_eq!(hom.variant, HomVariant::B); + assert!( + (hom.gamma_c_deg - 53.13).abs() < 0.01, + "{}", + hom.gamma_c_deg + ); + assert!(parse("+proj=omerc +lat_0=4").is_err()); + } + + #[test] + fn towgs84_and_ellipsoid_forms() { + let def = parse("+proj=longlat +ellps=evrst48 +towgs84=-11,851,5 +no_defs").unwrap(); + assert_eq!(def.datum.ellipsoid, Ellipsoid::EVEREST_1830_MODIFIED); + assert_eq!( + def.datum.to_wgs84, + DatumShift::Helmert(Helmert::translation(-11.0, 851.0, 5.0)) + ); + assert!(parse("+proj=longlat +towgs84=1,2").is_err()); + assert!(parse("+proj=longlat +towgs84=1,2,3,4,5,6,7,8").is_err()); + let def = parse("+proj=longlat +a=6378137 +rf=298.257223563").unwrap(); + assert_eq!(def.datum.ellipsoid, Ellipsoid::WGS84); + let def = parse("+proj=longlat +R=6371007.181").unwrap(); + assert!(def.datum.ellipsoid.is_sphere()); + let def = parse("+proj=longlat +a=6378206.4 +b=6356583.8").unwrap(); + assert_eq!(def.datum.ellipsoid, Ellipsoid::CLARKE_1866); + let def = parse("+proj=tmerc").unwrap(); + assert_eq!(def.datum.ellipsoid, Ellipsoid::GRS80); + } + + #[test] + fn units_pm_axis_type() { + let def = parse("+proj=tmerc +units=us-ft +pm=paris +axis=enu +type=crs").unwrap(); + assert_eq!(def.unit.metres_per_unit, 1200.0 / 3937.0); + assert!((def.datum.prime_meridian_deg - 2.337_229_166_667).abs() < 1e-11); + let def = parse("+proj=tmerc +units=ft +to_meter=0.3047972654").unwrap(); + assert_eq!(def.unit.metres_per_unit, 0.304_797_265_4); + assert_eq!(def.axis, AxisOrder::ENU); + let def = parse("+proj=tmerc +axis=wsu").unwrap(); + assert_eq!(def.axis.to_string(), "wsu"); + let def = parse("+proj=longlat +axis=neu").unwrap(); + assert_eq!(def.axis.to_string(), "neu"); + for bad in [ + "+proj=tmerc +axis=ewu", + "+proj=tmerc +axis=en", + "+proj=tmerc +axis", + ] { + assert!( + matches!(parse(bad), Err(CrsParseError::InvalidValue { .. })), + "{bad}" + ); + } + assert!(parse("+proj=tmerc +units=furlong").is_err()); + } + + #[test] + fn unsupported_method_lists_implemented() { + let err = parse("+proj=bonne +lat_1=10").unwrap_err(); + assert_eq!( + err, + CrsParseError::UnsupportedMethod { + method: "bonne".into(), + implemented: IMPLEMENTED_METHODS + } + ); + assert!(matches!( + parse("+proj=tmerc +nadgrids=@null"), + Err(CrsParseError::UnknownParameter { .. }) + )); + } + + #[test] + fn every_method_parses() { + let cases = [ + "+proj=lcc +lat_1=33 +lat_2=45 +lat_0=23 +lon_0=-96", + "+proj=merc +lat_ts=10", + "+proj=webmerc +datum=WGS84", + "+proj=cea +lat_ts=30 +ellps=WGS84", + "+proj=eqc +lat_ts=0", + "+proj=stere +lat_0=90 +lat_ts=70", + "+proj=ups +south +ellps=WGS84", + "+proj=sterea +lat_0=52.15 +lon_0=5.38 +k=0.9999079", + "+proj=aea +lat_1=29.5 +lat_2=45.5", + "+proj=laea +lat_0=52 +lon_0=10", + "+proj=cass +lat_0=4 +lon_0=101 +hyperbolic", + "+proj=poly +lon_0=-54", + "+proj=aeqd +guam +lat_0=13.47 +lon_0=144.75", + "+proj=sinu +R=6371007.181", + "+proj=eqearth", + "+proj=krovak +czech +ellps=bessel", + "+proj=mod_krovak +ellps=bessel", + "+proj=somerc +lat_0=46.95 +lon_0=7.44 +k_0=1", + "+proj=nzmg +ellps=intl", + "+proj=geos +h=35785831 +sweep=x", + "+proj=labrd +lat_0=-18.9 +lon_0=46.43 +azi=18.9 +k=0.9995", + ]; + for text in cases { + let def = parse(text).unwrap_or_else(|e| panic!("{text}: {e}")); + assert_eq!(def.kind, CrsKind::Projected, "{text}"); + } + let Some(ProjectionDef::Krovak(k)) = parse("+proj=mod_krovak").unwrap().projection else { + panic!("expected krovak"); + }; + assert!(k.modified); + } + + #[test] + fn ups_refuses_a_sphere() { + assert_eq!( + parse("+proj=ups +R=6371000"), + Err(CrsParseError::invalid("proj", "ups")) + ); + let Some(ProjectionDef::Stereographic(s)) = parse("+proj=ups +south").unwrap().projection + else { + panic!("expected stere"); + }; + assert_eq!(s.lat0_deg, -90.0); + } +} diff --git a/nodedb-crs/src/parse/proj_writer.rs b/nodedb-crs/src/parse/proj_writer.rs new file mode 100644 index 000000000..86d89b074 --- /dev/null +++ b/nodedb-crs/src/parse/proj_writer.rs @@ -0,0 +1,194 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PROJ-string writer. +//! +//! Numbers print in Rust's shortest round-trip form, so +//! [`parse_proj_string`](super::parse_proj_string) reads back the same +//! values. PROJ strings carry neither the Helmert rotation convention nor +//! its accuracy: the writer emits position-vector rotations, and the +//! accuracy and area of use are dropped. +//! +//! `+towgs84` has no rates, so a definition with a time-dependent Helmert +//! has no PROJ string: the writer refuses it with +//! [`ProjExportError::TimeDependentShift`], as PROJ refuses the same export. +//! WKT2 and PROJJSON keep the rates and the epoch. + +use core::fmt::Write; + +use crate::def::{CrsDef, CrsKind, DatumShift, Ellipsoid, LinearUnit}; +use crate::error::ProjExportError; + +impl CrsDef { + /// This definition as a PROJ string. The EPSG datum code is dropped: + /// PROJ strings do not carry it. A time-dependent datum shift fails with + /// [`ProjExportError::TimeDependentShift`]. + pub fn to_proj_string(&self) -> Result { + // Every parameter is written with a leading space, the first one's + // stripped at the end. + let mut out = String::new(); + match &self.projection { + None => out.push_str(" +proj=longlat"), + Some(p) => p.write_proj(&mut out), + } + if !self.axis.is_enu() { + push(&mut out, format_args!(" +axis={}", self.axis)); + } + write_ellipsoid(&mut out, &self.datum.ellipsoid); + if self.datum.prime_meridian_deg != 0.0 { + push( + &mut out, + format_args!(" +pm={}", self.datum.prime_meridian_deg), + ); + } + match &self.datum.to_wgs84 { + DatumShift::Identity => {} + DatumShift::Helmert(h) if h.rates.is_some() => { + return Err(ProjExportError::TimeDependentShift { srid: self.srid }); + } + DatumShift::Helmert(h) => { + let [tx, ty, tz, rx, ry, rz, s] = h.to_towgs84(); + push( + &mut out, + format_args!(" +towgs84={tx},{ty},{tz},{rx},{ry},{rz},{s}"), + ); + } + } + match self.kind { + CrsKind::Geographic => {} + CrsKind::Projected => write_unit(&mut out, &self.unit), + } + out.push_str(" +no_defs"); + Ok(out.split_off(1)) + } +} + +/// Append formatted text. Writing to a `String` cannot fail, so the +/// `fmt::Result` carries nothing. +fn push(out: &mut String, args: core::fmt::Arguments<'_>) { + let _ = out.write_fmt(args); +} + +fn write_ellipsoid(out: &mut String, e: &Ellipsoid) { + match e.proj_name() { + Some(name) => push(out, format_args!(" +ellps={name}")), + None if e.is_sphere() => push(out, format_args!(" +R={}", e.a)), + None => push(out, format_args!(" +a={} +rf={}", e.a, e.inv_f)), + } +} + +fn write_unit(out: &mut String, unit: &LinearUnit) { + match unit.proj_name() { + Some(name) => push(out, format_args!(" +units={name}")), + None => push(out, format_args!(" +to_meter={}", unit.metres_per_unit)), + } +} + +#[cfg(test)] +mod tests { + use crate::def::{CrsDef, Datum, DatumShift, Ellipsoid, Helmert}; + use crate::parse::parse_proj_string; + use crate::srid::Srid; + + fn round_trip(text: &str) { + let srid = Srid::new(910_000).unwrap(); + let def = parse_proj_string(srid, "rt", text).unwrap(); + let written = def.to_proj_string().unwrap(); + let again = parse_proj_string(srid, "rt", &written).unwrap(); + assert_eq!(again, def, "{text} -> {written}"); + } + + #[test] + fn round_trips() { + round_trip("+proj=longlat +datum=WGS84 +no_defs"); + round_trip("+proj=utm +zone=48 +datum=WGS84 +units=m +no_defs"); + round_trip("+proj=utm +zone=50 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs"); + round_trip( + "+proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.025796466667 \ + +gamma=323.130102361111 +k=0.99984 +x_0=804671 +y_0=0 +ellps=GRS80 +units=m +no_defs", + ); + round_trip("+proj=omerc +lat_0=4 +lonc=115 +alpha=53.31580995 +k=0.99984 +no_rot"); + round_trip( + "+proj=tmerc +lat_0=4 +lon_0=102 +k=0.99995 +x_0=40000 +y_0=-10000 \ + +a=6377304.063 +rf=300.8017 +pm=paris +towgs84=-11,851,5,0.1,-0.2,0.3,1.5 \ + +to_meter=0.3047972654", + ); + round_trip("+proj=longlat +R=6371007.181 +no_defs"); + round_trip("+proj=tmerc +a=6378000 +rf=297.5 +units=us-ft"); + round_trip("+proj=tmerc +axis=wsu +lon_0=17 +ellps=WGS84"); + round_trip("+proj=longlat +axis=neu +datum=WGS84"); + } + + #[test] + fn every_method_round_trips() { + for text in [ + "+proj=lcc +lat_1=33 +lat_2=45 +lat_0=23 +lon_0=-96 +x_0=10 +y_0=-20", + "+proj=lcc +axis=wnu +lat_1=65 +lat_0=65 +lon_0=-18 +k_0=1 +x_0=-500000 +ellps=intl", + "+proj=merc +lat_ts=10 +lon_0=3", + "+proj=merc +k=0.997 +lon_0=110", + "+proj=webmerc +datum=WGS84", + "+proj=cea +lat_ts=30 +ellps=WGS84", + "+proj=cea +k_0=1 +R=6371000", + "+proj=eqc +lat_ts=12 +lat_0=1", + "+proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45", + "+proj=stere +lat_0=52 +lon_0=5 +k=0.9999", + "+proj=ups +south +ellps=WGS84", + "+proj=sterea +lat_0=52.15 +lon_0=5.38 +k=0.9999079 +x_0=155000 +y_0=463000", + "+proj=aea +lat_1=29.5 +lat_2=45.5 +lat_0=23 +lon_0=-96", + "+proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000", + "+proj=cass +lat_0=4 +lon_0=101 +hyperbolic", + "+proj=cass +axis=swu +lat_0=48 +lon_0=31.8 +pm=-17.6666666666667", + "+proj=poly +lat_0=1 +lon_0=-54", + "+proj=aeqd +guam +lat_0=13.47 +lon_0=144.75", + "+proj=aeqd +lat_0=90", + "+proj=sinu +R=6371007.181", + "+proj=eqearth +lon_0=150", + "+proj=krovak +axis=swu +czech +ellps=bessel", + "+proj=mod_krovak +ellps=bessel +x_0=5000000 +y_0=5000000", + "+proj=somerc +lat_0=46.95 +lon_0=7.44 +k_0=1 +x_0=2600000 +y_0=1200000", + "+proj=nzmg +ellps=intl", + "+proj=geos +h=35785831 +sweep=x +lon_0=-75", + "+proj=labrd +lat_0=-18.9 +lon_0=46.43 +azi=18.9 +k=0.9995 +x_0=400000", + ] { + round_trip(text); + } + } + + /// `+towgs84` has no rates, so a time-dependent shift is refused. + #[test] + fn time_dependent_shift_has_no_proj_string() { + let srid = Srid::new(910_000).unwrap(); + let mut def = parse_proj_string(srid, "td", "+proj=longlat +ellps=GRS80").unwrap(); + let mut h = Helmert::position_vector([1.0, 2.0, 3.0, 0.5, 0.0, 0.0, 0.25]); + h.rates = Some(crate::def::HelmertRates::new([0.1; 7], 2010.0)); + def.datum.to_wgs84 = DatumShift::Helmert(h); + assert_eq!( + def.to_proj_string(), + Err(crate::error::ProjExportError::TimeDependentShift { srid }) + ); + } + + #[test] + fn coordinate_frame_writes_position_vector_rotations() { + let mut h = Helmert::position_vector([1.0, 2.0, 3.0, 0.5, 0.0, 0.0, 0.0]); + h.convention = crate::def::RotationConvention::CoordinateFrame; + let def = CrsDef { + srid: Srid::WGS84, + name: "cf".into(), + kind: crate::def::CrsKind::Geographic, + datum: Datum { + ellipsoid: Ellipsoid::INTERNATIONAL_1924, + prime_meridian_deg: 0.0, + to_wgs84: DatumShift::Helmert(h), + epsg_code: Some(6230), + }, + projection: None, + unit: crate::def::LinearUnit::METRE, + axis: crate::def::AxisOrder::ENU, + area_of_use: None, + }; + assert_eq!( + def.to_proj_string().as_deref(), + Ok("+proj=longlat +ellps=intl +towgs84=1,2,3,-0.5,0,0,0 +no_defs") + ); + } +} diff --git a/nodedb-crs/src/parse/projjson.rs b/nodedb-crs/src/parse/projjson.rs new file mode 100644 index 000000000..2235616fe --- /dev/null +++ b/nodedb-crs/src/parse/projjson.rs @@ -0,0 +1,442 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PROJJSON parser. +//! +//! Reads a `GeographicCRS` (or a `GeodeticCRS` with an ellipsoidal +//! coordinate system), a `ProjectedCRS`, and a `BoundCRS` whose source is +//! one of those and whose transformation to WGS 84 is a static or +//! time-dependent Helmert transformation. A datum may be a `datum` or a +//! `datum_ensemble`. + +use super::helmert_params::{HelmertValues, helmert_slot}; +use super::json::{Json, PROJJSON_FORMAT, parse_json}; +use super::model::{ + ConversionModel, CrsModel, DEGREE_RAD, DatumModel, ParamModel, build_def, convert, +}; +use super::unit_names::{angular_factor, any_factor, linear_factor}; +use super::wkt2::order_from_directions; +use crate::def::{AreaOfUse, AxisDirection, CrsDef, CrsKind, DatumShift, Ellipsoid}; +use crate::error::CrsParseError; +use crate::srid::Srid; + +/// Parse PROJJSON text into a CRS definition named `name` under `srid`. +pub fn parse_projjson(srid: Srid, name: &str, text: &str) -> Result { + let root = parse_json(text)?; + let model = model_of_crs(&root)?; + build_def(srid, name, &model, PROJJSON_FORMAT) +} + +fn invalid(detail: impl Into>) -> CrsParseError { + CrsParseError::content(PROJJSON_FORMAT, detail) +} + +/// A required member of `object`. +fn member<'a>(object: &'a Json, key: &str, owner: &str) -> Result<&'a Json, CrsParseError> { + object + .get(key) + .ok_or_else(|| invalid(format!("{owner} has no \"{key}\""))) +} + +fn type_of(object: &Json) -> &str { + object + .get("type") + .and_then(Json::as_str) + .unwrap_or_default() +} + +fn model_of_crs(crs: &Json) -> Result { + match type_of(crs) { + "BoundCRS" => bound(crs), + "ProjectedCRS" => projected(crs), + "GeographicCRS" | "GeodeticCRS" => geographic(crs), + other => Err(invalid(format!( + "type \"{other}\" is not a supported CRS; supported: GeographicCRS, ProjectedCRS, \ + BoundCRS" + ))), + } +} + +fn bound(crs: &Json) -> Result { + let target = model_of_crs(member(crs, "target_crs", "BoundCRS")?)?; + if target.kind != CrsKind::Geographic || target.datum.ellipsoid != Ellipsoid::WGS84 { + return Err(invalid("BoundCRS must transform to WGS 84")); + } + let mut model = model_of_crs(member(crs, "source_crs", "BoundCRS")?)?; + if model.datum.to_wgs84 != DatumShift::Identity { + return Err(invalid("BoundCRS source is itself bound")); + } + let transformation = member(crs, "transformation", "BoundCRS")?; + let method = member(transformation, "method", "transformation")?; + // A parameter with no unit is in the parameter's own unit. A rate unit + // factor is SI per second, as EPSG and PROJ write it. + let mut values = HelmertValues::default(); + for param in parameters(transformation)? { + let name = param.get("name").and_then(Json::as_str).unwrap_or_default(); + let slot = helmert_slot(epsg_id(param), name) + .ok_or_else(|| invalid(format!("Helmert parameter '{name}' is not supported")))?; + let value = number(member(param, "value", name)?, name)?; + let factor = match param.get("unit") { + None => None, + Some(unit) => Some(unit_factor(unit, any_factor)?), + }; + values.set(slot, value, factor); + } + let accuracy = match transformation.get("accuracy") { + None => None, + Some(Json::Number(n)) => Some(*n), + Some(Json::String(s)) => Some( + s.trim() + .parse::() + .map_err(|_| invalid(format!("accuracy '{s}' is not a number")))?, + ), + Some(Json::Null | Json::Bool(_) | Json::Array(_) | Json::Object(_)) => { + return Err(invalid("accuracy is not a number")); + } + }; + model.datum.to_wgs84 = values.into_shift( + epsg_id(method), + method + .get("name") + .and_then(Json::as_str) + .unwrap_or_default(), + accuracy, + PROJJSON_FORMAT, + )?; + Ok(model) +} + +fn geographic(crs: &Json) -> Result { + let cs = crs.get("coordinate_system"); + if let Some(subtype) = cs.and_then(|c| c.get("subtype")).and_then(Json::as_str) + && subtype != "ellipsoidal" + { + return Err(invalid(format!( + "a {subtype} geodetic CRS is not supported; supported: ellipsoidal" + ))); + } + let angle_rad = axis_unit(cs, angular_factor)?.unwrap_or(DEGREE_RAD); + Ok(CrsModel { + name: crs + .get("name") + .and_then(Json::as_str) + .unwrap_or_default() + .to_string(), + kind: CrsKind::Geographic, + datum: datum(crs, angle_rad)?, + conversion: None, + metres_per_unit: 1.0, + axis: axis_order(cs)?, + area_of_use: area(crs)?, + }) +} + +fn projected(crs: &Json) -> Result { + let base = member(crs, "base_crs", "ProjectedCRS")?; + let angle_rad = axis_unit(base.get("coordinate_system"), angular_factor)?.unwrap_or(DEGREE_RAD); + let cs = crs.get("coordinate_system"); + let metres_per_unit = axis_unit(cs, linear_factor)?.unwrap_or(1.0); + let conversion = member(crs, "conversion", "ProjectedCRS")?; + let method = member(conversion, "method", "conversion")?; + let mut params = Vec::new(); + for param in parameters(conversion)? { + let name = param.get("name").and_then(Json::as_str).unwrap_or_default(); + params.push(ParamModel { + name: name.to_string(), + code: epsg_id(param), + value: number(member(param, "value", name)?, name)?, + factor: param + .get("unit") + .map(|u| unit_factor(u, any_factor)) + .transpose()?, + kind: None, + }); + } + Ok(CrsModel { + name: crs + .get("name") + .and_then(Json::as_str) + .unwrap_or_default() + .to_string(), + kind: CrsKind::Projected, + datum: datum(base, angle_rad)?, + conversion: Some(ConversionModel { + method_name: method + .get("name") + .and_then(Json::as_str) + .unwrap_or_default() + .to_string(), + method_code: epsg_id(method), + params, + default_angle_rad: angle_rad, + default_length_m: metres_per_unit, + }), + metres_per_unit, + axis: axis_order(cs)?, + area_of_use: area(crs)?, + }) +} + +/// The `parameters` array of a conversion or transformation. Absent is +/// empty. +fn parameters(object: &Json) -> Result<&[Json], CrsParseError> { + match object.get("parameters") { + None => Ok(&[]), + Some(p) => p + .as_array() + .ok_or_else(|| invalid("\"parameters\" is not an array")), + } +} + +/// A plain number. +fn number(value: &Json, what: &str) -> Result { + value + .as_f64() + .ok_or_else(|| invalid(format!("'{what}' is not a number"))) +} + +/// A measure that is a number in its default unit, or a +/// `{"value": n, "unit": u}` object. +fn measure( + value: &Json, + what: &str, + factor_of: fn(&str) -> Option, + default_factor: f64, + canonical: f64, +) -> Result { + match value { + Json::Number(n) => Ok(convert(*n, default_factor, canonical)), + Json::Object(_) => { + let n = number(member(value, "value", what)?, what)?; + let factor = match value.get("unit") { + None => default_factor, + Some(unit) => unit_factor(unit, factor_of)?, + }; + Ok(convert(n, factor, canonical)) + } + Json::Null | Json::Bool(_) | Json::String(_) | Json::Array(_) => { + Err(invalid(format!("'{what}' is not a number"))) + } + } +} + +/// The factor of a unit: a name `factor_of` knows, or an object with a +/// `conversion_factor`. +fn unit_factor(unit: &Json, factor_of: fn(&str) -> Option) -> Result { + match unit { + Json::String(name) => { + factor_of(name).ok_or_else(|| invalid(format!("unit '{name}' is not supported"))) + } + Json::Object(_) => unit + .get("conversion_factor") + .and_then(Json::as_f64) + .filter(|f| *f > 0.0) + .ok_or_else(|| invalid("unit has no positive \"conversion_factor\"")), + Json::Null | Json::Bool(_) | Json::Number(_) | Json::Array(_) => { + Err(invalid("unit is neither a name nor an object")) + } + } +} + +/// The unit of a coordinate system's first axis. +fn axis_unit( + cs: Option<&Json>, + factor_of: fn(&str) -> Option, +) -> Result, CrsParseError> { + let Some(unit) = cs + .and_then(|c| c.get("axis")) + .and_then(Json::as_array) + .and_then(<[Json]>::first) + .and_then(|axis| axis.get("unit")) + else { + return Ok(None); + }; + unit_factor(unit, factor_of).map(Some) +} + +/// The datum of a geographic CRS object. +fn datum(crs: &Json, angle_rad: f64) -> Result { + let datum = crs + .get("datum") + .or_else(|| crs.get("datum_ensemble")) + .ok_or_else(|| invalid("geographic CRS has no \"datum\" or \"datum_ensemble\""))?; + let ellipsoid = member(datum, "ellipsoid", "datum")?; + let length = |key: &str| -> Result, CrsParseError> { + ellipsoid + .get(key) + .map(|v| measure(v, key, linear_factor, 1.0, 1.0)) + .transpose() + }; + let ellipsoid = if let Some(r) = length("radius")? { + Ellipsoid::sphere(r) + } else { + let a = length("semi_major_axis")? + .ok_or_else(|| invalid("ellipsoid has no \"semi_major_axis\" or \"radius\""))?; + let inv_f = match ( + ellipsoid.get("inverse_flattening"), + length("semi_minor_axis")?, + ) { + (Some(rf), _) => number(rf, "inverse_flattening")?, + (None, Some(b)) if b == a => 0.0, + (None, Some(b)) if b > 0.0 && b < a => a / (a - b), + (None, Some(_) | None) => { + return Err(invalid( + "ellipsoid needs \"inverse_flattening\" or a smaller \"semi_minor_axis\"", + )); + } + }; + Ellipsoid { a, inv_f } + }; + if ellipsoid.a <= 0.0 || ellipsoid.inv_f < 0.0 { + return Err(invalid("ellipsoid axes are not valid")); + } + let prime_meridian_deg = match datum + .get("prime_meridian") + .or_else(|| crs.get("prime_meridian")) + .and_then(|pm| pm.get("longitude")) + { + None => 0.0, + Some(lon) => measure(lon, "longitude", angular_factor, angle_rad, DEGREE_RAD)?, + }; + Ok(DatumModel { + ellipsoid, + prime_meridian_deg, + epsg_code: epsg_id(datum), + to_wgs84: DatumShift::Identity, + }) +} + +/// The EPSG code of an object's `id`, or of the first of its `ids`. +fn epsg_id(object: &Json) -> Option { + let id = object + .get("id") + .or_else(|| object.get("ids").and_then(Json::as_array)?.first())?; + if !id.get("authority")?.as_str()?.eq_ignore_ascii_case("EPSG") { + return None; + } + match id.get("code")? { + Json::Number(n) if n.fract() == 0.0 && *n >= 0.0 && *n <= f64::from(u32::MAX) => { + Some(*n as u32) + } + Json::String(s) => s.trim().parse().ok(), + Json::Number(_) | Json::Null | Json::Bool(_) | Json::Array(_) | Json::Object(_) => None, + } +} + +/// The axis order of a coordinate system. +fn axis_order(cs: Option<&Json>) -> Result { + let axes = cs + .and_then(|c| c.get("axis")) + .and_then(Json::as_array) + .unwrap_or_default(); + let mut directions = Vec::new(); + for axis in axes.iter().take(2) { + let word = axis + .get("direction") + .and_then(Json::as_str) + .ok_or_else(|| invalid("axis has no \"direction\""))?; + directions.push(match word { + "east" => AxisDirection::East, + "west" => AxisDirection::West, + "north" => AxisDirection::North, + "south" => AxisDirection::South, + other => { + return Err(invalid(format!( + "axis direction '{other}' is not supported; supported: east, west, north, south" + ))); + } + }); + } + order_from_directions(&directions) +} + +/// The area of use: `bbox`, or the `bbox` of the first usage that has +/// one. +fn area(crs: &Json) -> Result, CrsParseError> { + let bbox = crs.get("bbox").or_else(|| { + crs.get("usages")? + .as_array()? + .iter() + .find_map(|u| u.get("bbox")) + }); + let Some(bbox) = bbox else { + return Ok(None); + }; + let side = |key: &str| number(member(bbox, key, "bbox")?, key); + Ok(Some(AreaOfUse { + south: side("south_latitude")?, + west: side("west_longitude")?, + north: side("north_latitude")?, + east: side("east_longitude")?, + })) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn parse(text: &str) -> Result { + parse_projjson(Srid::new(910_001).unwrap(), "test", text) + } + + /// EPSG:3375 GDM2000 / Peninsula RSO as PROJ 9 writes it, trimmed. + const RSO: &str = r#"{ + "type": "ProjectedCRS", "name": "GDM2000 / Peninsula RSO", + "base_crs": {"name": "GDM2000", + "datum": {"type": "GeodeticReferenceFrame", "name": "Geodetic Datum of Malaysia 2000", + "ellipsoid": {"name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101}}, + "coordinate_system": {"subtype": "ellipsoidal", "axis": [ + {"name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree"}, + {"name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree"}]}, + "id": {"authority": "EPSG", "code": 4742}}, + "conversion": {"name": "Peninsular RSO", + "method": {"name": "Hotine Oblique Mercator (variant A)", "id": {"authority": "EPSG", "code": 9812}}, + "parameters": [ + {"name": "Latitude of projection centre", "value": 4, "unit": "degree", "id": {"authority": "EPSG", "code": 8811}}, + {"name": "Longitude of projection centre", "value": 102.25, "unit": "degree", "id": {"authority": "EPSG", "code": 8812}}, + {"name": "Azimuth at projection centre", "value": 323.025796466667, "unit": "degree", "id": {"authority": "EPSG", "code": 8813}}, + {"name": "Angle from Rectified to Skew Grid", "value": 323.130102361111, "unit": "degree", "id": {"authority": "EPSG", "code": 8814}}, + {"name": "Scale factor at projection centre", "value": 0.99984, "unit": "unity", "id": {"authority": "EPSG", "code": 8815}}, + {"name": "False easting", "value": 804671, "unit": "metre", "id": {"authority": "EPSG", "code": 8806}}, + {"name": "False northing", "value": 0, "unit": "metre", "id": {"authority": "EPSG", "code": 8807}}]}, + "coordinate_system": {"subtype": "Cartesian", "axis": [ + {"name": "Easting", "abbreviation": "E", "direction": "east", "unit": "metre"}, + {"name": "Northing", "abbreviation": "N", "direction": "north", "unit": "metre"}]}, + "bbox": {"south_latitude": 1.13, "west_longitude": 98.02, "north_latitude": 7.81, "east_longitude": 105.82}, + "id": {"authority": "EPSG", "code": 3375}}"#; + + #[test] + fn rso_matches_the_builtin_projection() { + let def = parse(RSO).unwrap(); + let builtin = crate::CrsContext::builtin_only() + .resolve(Srid::new(3375).unwrap()) + .unwrap(); + assert_eq!(def.projection, builtin.projection); + assert_eq!(def.datum.ellipsoid, builtin.datum.ellipsoid); + assert_eq!(def.area_of_use, builtin.area_of_use); + } + + #[test] + fn units_as_objects_and_spheres() { + let text = r#"{"type": "ProjectedCRS", "name": "x", + "base_crs": {"name": "s", "datum": {"name": "d", "ellipsoid": {"name": "e", "radius": 6371007.181}}}, + "conversion": {"name": "c", "method": {"name": "Sinusoidal"}, + "parameters": [{"name": "Longitude of natural origin", "value": 0, "unit": "degree"}]}, + "coordinate_system": {"subtype": "Cartesian", "axis": [ + {"name": "E", "direction": "east", "unit": {"type": "LinearUnit", "name": "US survey foot", "conversion_factor": 0.304800609601219}}, + {"name": "N", "direction": "north", "unit": {"type": "LinearUnit", "name": "US survey foot", "conversion_factor": 0.304800609601219}}]}}"#; + let def = parse(text).unwrap(); + assert!(def.datum.ellipsoid.is_sphere()); + assert_eq!(def.unit.metres_per_unit, 0.304800609601219); + } + + #[test] + fn refusals_name_the_problem() { + assert!(matches!(parse("{"), Err(CrsParseError::Malformed { .. }))); + let err = parse(r#"{"type": "VerticalCRS"}"#).unwrap_err(); + assert!(err.to_string().contains("VerticalCRS"), "{err}"); + let err = + parse(r#"{"type": "GeographicCRS", "datum": {"ellipsoid": {"semi_major_axis": 1}}}"#) + .unwrap_err(); + assert!(err.to_string().contains("inverse_flattening"), "{err}"); + } +} diff --git a/nodedb-crs/src/parse/projjson_writer.rs b/nodedb-crs/src/parse/projjson_writer.rs new file mode 100644 index 000000000..a1fbdc63d --- /dev/null +++ b/nodedb-crs/src/parse/projjson_writer.rs @@ -0,0 +1,328 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PROJJSON writer (schema v0.7). +//! +//! Numbers print in Rust's shortest round-trip form and every parameter +//! names its unit, so [`parse_projjson`](super::parse_projjson) reads back +//! the same definition. A datum with a Helmert shift is written as a +//! `BoundCRS` to WGS 84. A time-dependent shift adds its rates and its +//! parameter reference epoch, each with a unit object carrying the EPSG +//! per-second factor. A PROJ parameter no EPSG parameter names is +//! written as `{"name": "PROJ ", "value": v}`, which this crate reads +//! back. + +use core::fmt::Write; + +use super::helmert_params::{HelmertUnit, writer_method, writer_params}; +use super::json::push_json_string; +use super::methods::ParamKind; +use super::model::{ConversionModel, CrsModel, DatumModel, model_of}; +use super::unit_names::{ellipsoid_name, linear_name}; +use crate::def::{AxisDirection, CrsDef, CrsKind, DatumShift}; +use crate::srid::SridAuthority; + +/// The PROJJSON schema this writer follows. +const SCHEMA: &str = "https://proj.org/schemas/v0.7/projjson.schema.json"; + +/// WGS 84 as a target CRS. +const WGS84_JSON: &str = "{\"type\":\"GeographicCRS\",\"name\":\"WGS 84\",\ + \"datum\":{\"type\":\"GeodeticReferenceFrame\",\"name\":\"World Geodetic System 1984\",\ + \"ellipsoid\":{\"name\":\"WGS 84\",\"semi_major_axis\":6378137,\ + \"inverse_flattening\":298.257223563},\"id\":{\"authority\":\"EPSG\",\"code\":6326}},\ + \"coordinate_system\":{\"subtype\":\"ellipsoidal\",\"axis\":[\ + {\"name\":\"Geodetic longitude\",\"abbreviation\":\"Lon\",\"direction\":\"east\",\"unit\":\"degree\"},\ + {\"name\":\"Geodetic latitude\",\"abbreviation\":\"Lat\",\"direction\":\"north\",\"unit\":\"degree\"}]},\ + \"id\":{\"authority\":\"EPSG\",\"code\":4326}}"; + +/// Append formatted text. Writing to a `String` cannot fail. +fn push(out: &mut String, args: core::fmt::Arguments<'_>) { + let _ = out.write_fmt(args); +} + +impl CrsDef { + /// This definition as PROJJSON text. + pub fn to_projjson(&self) -> String { + let model = model_of(self); + let id = match self.srid.authority() { + SridAuthority::Epsg => Some(self.srid.code()), + SridAuthority::NodeDb | SridAuthority::User | SridAuthority::Reserved => None, + }; + match &model.datum.to_wgs84 { + DatumShift::Identity => { + let mut out = String::new(); + write_crs(&mut out, &model, Some(SCHEMA), id); + out + } + DatumShift::Helmert(h) => { + let mut out = + format!("{{\"$schema\":\"{SCHEMA}\",\"type\":\"BoundCRS\",\"source_crs\":"); + write_crs(&mut out, &model, None, id); + out.push_str(",\"target_crs\":"); + out.push_str(WGS84_JSON); + let (method, code) = writer_method(h); + push( + &mut out, + format_args!( + ",\"transformation\":{{\"name\":\"Transformation to WGS 84\",\ + \"method\":{{\"name\":\"{method}\",\"id\":{{\"authority\":\"EPSG\",\"code\":{code}}}}},\ + \"parameters\":[" + ), + ); + for (i, (code, name, unit, value)) in writer_params(h).enumerate() { + if i > 0 { + out.push(','); + } + push( + &mut out, + format_args!("{{\"name\":\"{name}\",\"value\":{value},\"unit\":"), + ); + write_helmert_unit(&mut out, unit); + push( + &mut out, + format_args!(",\"id\":{{\"authority\":\"EPSG\",\"code\":{code}}}}}"), + ); + } + out.push(']'); + if let Some(accuracy) = h.accuracy_m { + push(&mut out, format_args!(",\"accuracy\":\"{accuracy}\"")); + } + out.push_str("}}"); + out + } + } + } +} + +/// A Helmert parameter unit: a name PROJ knows for the static units, a unit +/// object with its SI factor for the rates and the year. +fn write_helmert_unit(out: &mut String, unit: HelmertUnit) { + match unit { + HelmertUnit::Length | HelmertUnit::Angle | HelmertUnit::Scale => { + push(out, format_args!("\"{}\"", unit.name())); + } + HelmertUnit::LengthRate + | HelmertUnit::AngleRate + | HelmertUnit::ScaleRate + | HelmertUnit::Time => push( + out, + format_args!( + "{{\"type\":\"{}\",\"name\":\"{}\",\"conversion_factor\":{}}}", + unit.projjson_type(), + unit.name(), + unit.factor() + ), + ), + } +} + +fn write_crs(out: &mut String, model: &CrsModel, schema: Option<&str>, id: Option) { + out.push('{'); + if let Some(schema) = schema { + push(out, format_args!("\"$schema\":\"{schema}\",")); + } + match &model.conversion { + Some(conversion) => { + out.push_str("\"type\":\"ProjectedCRS\",\"name\":"); + push_json_string(out, &model.name); + out.push_str(",\"base_crs\":{\"name\":\"unknown\","); + write_datum(out, &model.datum); + out.push_str(",\"coordinate_system\":{\"subtype\":\"ellipsoidal\",\"axis\":["); + out.push_str("{\"name\":\"Geodetic longitude\",\"abbreviation\":\"Lon\",\"direction\":\"east\",\"unit\":\"degree\"},"); + out.push_str("{\"name\":\"Geodetic latitude\",\"abbreviation\":\"Lat\",\"direction\":\"north\",\"unit\":\"degree\"}]}},"); + write_conversion(out, conversion); + out.push_str(",\"coordinate_system\":{\"subtype\":\"Cartesian\",\"axis\":["); + write_axes(out, model, &linear_unit(model.metres_per_unit)); + out.push_str("]}"); + } + None => { + out.push_str("\"type\":\"GeographicCRS\",\"name\":"); + push_json_string(out, &model.name); + out.push(','); + write_datum(out, &model.datum); + out.push_str(",\"coordinate_system\":{\"subtype\":\"ellipsoidal\",\"axis\":["); + write_axes(out, model, "\"degree\""); + out.push_str("]}"); + } + } + if let Some(area) = &model.area_of_use { + push( + out, + format_args!( + ",\"bbox\":{{\"south_latitude\":{},\"west_longitude\":{},\ + \"north_latitude\":{},\"east_longitude\":{}}}", + area.south, area.west, area.north, area.east + ), + ); + } + if let Some(code) = id { + push( + out, + format_args!(",\"id\":{{\"authority\":\"EPSG\",\"code\":{code}}}"), + ); + } + out.push('}'); +} + +/// The `"datum"` member, with its ellipsoid and prime meridian. +fn write_datum(out: &mut String, datum: &DatumModel) { + out.push_str("\"datum\":{\"type\":\"GeodeticReferenceFrame\",\"name\":\"unknown\",\"ellipsoid\":{\"name\":"); + push_json_string(out, ellipsoid_name(&datum.ellipsoid)); + if datum.ellipsoid.is_sphere() { + push(out, format_args!(",\"radius\":{}}}", datum.ellipsoid.a)); + } else { + push( + out, + format_args!( + ",\"semi_major_axis\":{},\"inverse_flattening\":{}}}", + datum.ellipsoid.a, datum.ellipsoid.inv_f + ), + ); + } + if datum.prime_meridian_deg != 0.0 { + push( + out, + format_args!( + ",\"prime_meridian\":{{\"name\":\"unknown\",\"longitude\":{}}}", + datum.prime_meridian_deg + ), + ); + } + if let Some(code) = datum.epsg_code { + push( + out, + format_args!(",\"id\":{{\"authority\":\"EPSG\",\"code\":{code}}}"), + ); + } + out.push('}'); +} + +fn write_conversion(out: &mut String, conversion: &ConversionModel) { + out.push_str("\"conversion\":{\"name\":\"unknown\",\"method\":{\"name\":"); + push_json_string(out, &conversion.method_name); + if let Some(code) = conversion.method_code { + push( + out, + format_args!(",\"id\":{{\"authority\":\"EPSG\",\"code\":{code}}}"), + ); + } + out.push_str("},\"parameters\":["); + for (i, param) in conversion.params.iter().enumerate() { + if i > 0 { + out.push(','); + } + out.push_str("{\"name\":"); + push_json_string(out, ¶m.name); + push(out, format_args!(",\"value\":{}", param.value)); + let unit = match param.kind { + Some(ParamKind::Angle) => Some("degree"), + Some(ParamKind::Length) => Some("metre"), + Some(ParamKind::Scale) => Some("unity"), + None => None, + }; + if let Some(unit) = unit { + push(out, format_args!(",\"unit\":\"{unit}\"")); + } + if let Some(code) = param.code { + push( + out, + format_args!(",\"id\":{{\"authority\":\"EPSG\",\"code\":{code}}}"), + ); + } + out.push('}'); + } + out.push_str("]}"); +} + +/// A linear unit: its name when it is the metre, else an object with its +/// conversion factor. +fn linear_unit(metres_per_unit: f64) -> String { + if metres_per_unit == 1.0 { + return "\"metre\"".to_string(); + } + let mut out = String::from("{\"type\":\"LinearUnit\",\"name\":"); + push_json_string(&mut out, linear_name(metres_per_unit).unwrap_or("unknown")); + push( + &mut out, + format_args!(",\"conversion_factor\":{metres_per_unit}}}"), + ); + out +} + +/// Two axis objects in the model's axis order, each with `unit`. +fn write_axes(out: &mut String, model: &CrsModel, unit: &str) { + let geographic = model.kind == CrsKind::Geographic; + for (i, direction) in [model.axis.x, model.axis.y].into_iter().enumerate() { + if i > 0 { + out.push(','); + } + let (name, abbreviation, word) = axis_name(direction, geographic); + push( + out, + format_args!( + "{{\"name\":\"{name}\",\"abbreviation\":\"{abbreviation}\",\ + \"direction\":\"{word}\",\"unit\":{unit}}}" + ), + ); + } +} + +/// The name, abbreviation and direction of one axis. +fn axis_name( + direction: AxisDirection, + geographic: bool, +) -> (&'static str, &'static str, &'static str) { + match (direction, geographic) { + (AxisDirection::East, true) => ("Geodetic longitude", "Lon", "east"), + (AxisDirection::West, true) => ("Geodetic longitude", "Lon", "west"), + (AxisDirection::North, true) => ("Geodetic latitude", "Lat", "north"), + (AxisDirection::South, true) => ("Geodetic latitude", "Lat", "south"), + (AxisDirection::East, false) => ("Easting", "X", "east"), + (AxisDirection::West, false) => ("Westing", "X", "west"), + (AxisDirection::North, false) => ("Northing", "Y", "north"), + (AxisDirection::South, false) => ("Southing", "Y", "south"), + (AxisDirection::Up, _) => ("Height", "h", "up"), + (AxisDirection::Down, _) => ("Depth", "d", "down"), + } +} + +#[cfg(test)] +mod tests { + use crate::CrsContext; + use crate::parse::{parse_proj_string, parse_projjson}; + use crate::srid::Srid; + + #[test] + fn every_method_round_trips() { + let srid = Srid::new(910_000).unwrap(); + for text in crate::parse::round_trip_cases::CASES { + let def = parse_proj_string(srid, "rt", text).unwrap(); + let json = def.to_projjson(); + let back = + parse_projjson(srid, "rt", &json).unwrap_or_else(|e| panic!("{text}\n{json}\n{e}")); + assert_eq!(back, def, "{text}\n{json}"); + } + } + + #[test] + fn builtins_round_trip_with_datum_code_and_area() { + let ctx = CrsContext::builtin_only(); + for code in [4326, 4742, 3375, 32648, 2263, 3857, 5514, 990_001, 990_002] { + let srid = Srid::new(code).unwrap(); + let def = ctx.resolve(srid).unwrap(); + let json = def.to_projjson(); + let back = + parse_projjson(srid, &def.name, &json).unwrap_or_else(|e| panic!("{json}\n{e}")); + assert_eq!(back, *def, "{json}"); + } + } + + #[test] + fn names_are_escaped() { + let srid = Srid::new(910_000).unwrap(); + let def = + parse_proj_string(srid, "a \"quoted\" name", "+proj=longlat +datum=WGS84").unwrap(); + let json = def.to_projjson(); + assert!(json.contains(r#""name":"a \"quoted\" name""#), "{json}"); + assert!(parse_projjson(srid, "x", &json).is_ok()); + } +} diff --git a/nodedb-crs/src/parse/round_trip_cases.rs b/nodedb-crs/src/parse/round_trip_cases.rs new file mode 100644 index 000000000..15762bd83 --- /dev/null +++ b/nodedb-crs/src/parse/round_trip_cases.rs @@ -0,0 +1,51 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PROJ strings that cover every method, flag, unit, axis order and datum +//! form, for the writer round-trip tests. + +pub(crate) const CASES: &[&str] = &[ + "+proj=longlat +datum=WGS84 +no_defs", + "+proj=utm +zone=48 +datum=WGS84 +units=m +no_defs", + "+proj=utm +zone=50 +south +ellps=GRS80 +towgs84=0,0,0 +units=m +no_defs", + "+proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.025796466667 \ + +gamma=323.130102361111 +k=0.99984 +x_0=804671 +y_0=0 +ellps=GRS80 +units=m +no_defs", + "+proj=omerc +lat_0=4 +lonc=115 +alpha=53.31580995 +k=0.99984 +no_rot", + "+proj=tmerc +lat_0=4 +lon_0=102 +k=0.99995 +x_0=40000 +y_0=-10000 \ + +a=6377304.063 +rf=300.8017 +pm=paris +towgs84=-11,851,5,0.1,-0.2,0.3,1.5 \ + +to_meter=0.3047972654", + "+proj=longlat +R=6371007.181 +no_defs", + "+proj=tmerc +a=6378000 +rf=297.5 +units=us-ft", + "+proj=tmerc +axis=wsu +lon_0=17 +ellps=WGS84", + "+proj=longlat +axis=wnu +datum=WGS84", + "+proj=lcc +lat_1=33 +lat_2=45 +lat_0=23 +lon_0=-96 +x_0=10 +y_0=-20", + "+proj=lcc +axis=wnu +lat_1=65 +lat_0=65 +lon_0=-18 +k_0=1 +x_0=-500000 +ellps=intl", + "+proj=merc +lat_ts=10 +lon_0=3", + "+proj=merc +k=0.997 +lon_0=110", + "+proj=webmerc +datum=WGS84", + "+proj=cea +lat_ts=30 +ellps=WGS84", + "+proj=cea +k_0=1 +R=6371000", + "+proj=eqc +lat_ts=12 +lat_0=1", + "+proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45", + "+proj=stere +lat_0=-90 +lon_0=0 +k=0.994", + "+proj=stere +lat_0=52 +lon_0=5 +k=0.9999", + "+proj=ups +south +ellps=WGS84", + "+proj=sterea +lat_0=52.15 +lon_0=5.38 +k=0.9999079 +x_0=155000 +y_0=463000", + "+proj=aea +lat_1=29.5 +lat_2=45.5 +lat_0=23 +lon_0=-96", + "+proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000", + "+proj=cass +lat_0=4 +lon_0=101 +hyperbolic", + "+proj=cass +axis=swu +lat_0=48 +lon_0=31.8 +pm=-17.6666666666667", + "+proj=poly +lat_0=1 +lon_0=-54", + "+proj=aeqd +guam +lat_0=13.47 +lon_0=144.75", + "+proj=aeqd +lat_0=90", + "+proj=sinu +R=6371007.181", + "+proj=eqearth +lon_0=150", + "+proj=krovak +axis=swu +czech +ellps=bessel", + "+proj=krovak +ellps=bessel", + "+proj=mod_krovak +ellps=bessel +x_0=5000000 +y_0=5000000", + "+proj=mod_krovak +czech +ellps=bessel", + "+proj=somerc +lat_0=46.95 +lon_0=7.44 +k_0=1 +x_0=2600000 +y_0=1200000", + "+proj=nzmg +ellps=intl", + "+proj=geos +h=35785831 +sweep=x +lon_0=-75", + "+proj=geos +h=35785863 +lon_0=140.7 +ellps=WGS84", + "+proj=labrd +lat_0=-18.9 +lon_0=46.43 +azi=18.9 +k=0.9995 +x_0=400000", +]; diff --git a/nodedb-crs/src/parse/tokens.rs b/nodedb-crs/src/parse/tokens.rs new file mode 100644 index 000000000..604b7cea2 --- /dev/null +++ b/nodedb-crs/src/parse/tokens.rs @@ -0,0 +1,203 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Tokenizing a PROJ string into `+key[=value]` parameters. + +use crate::error::CrsParseError; + +/// Format name reported by [`CrsParseError::Malformed`]. +pub const PROJ_FORMAT: &str = "PROJ"; + +/// Every key the parser understands. Any other key is refused. +const KNOWN_KEYS: &[&str] = &[ + "proj", + "zone", + "south", + "lat_0", + "lon_0", + "lat_1", + "lat_2", + "lat_ts", + "lonc", + "alpha", + "gamma", + "k", + "k_0", + "x_0", + "y_0", + "h", + "ellps", + "a", + "b", + "rf", + "f", + "R", + "datum", + "towgs84", + "pm", + "units", + "to_meter", + "axis", + "no_defs", + "type", + "no_uoff", + "no_off", + "no_rot", + "azi", + "sweep", + "czech", + "guam", + "hyperbolic", +]; + +/// One `+key[=value]` token. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +struct Param<'a> { + key: &'a str, + value: Option<&'a str>, +} + +/// The parameters of one PROJ string. The first occurrence of a key wins, +/// as in PROJ. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct ProjParams<'a> { + params: Vec>, +} + +impl<'a> ProjParams<'a> { + /// Split `text` into parameters and refuse unknown keys. + pub fn tokenize(text: &'a str) -> Result { + let mut params = Vec::new(); + let mut rest = text; + loop { + let trimmed = rest.trim_start(); + if trimmed.is_empty() { + break; + } + let offset = text.len() - trimmed.len(); + let end = trimmed.find(char::is_whitespace).unwrap_or(trimmed.len()); + let token = &trimmed[..end]; + rest = &trimmed[end..]; + let body = token + .strip_prefix('+') + .filter(|b| !b.is_empty() && !b.starts_with('=')) + .ok_or(CrsParseError::Malformed { + format: PROJ_FORMAT, + offset, + })?; + let (key, value) = match body.split_once('=') { + Some((k, v)) => (k, Some(v)), + None => (body, None), + }; + if !KNOWN_KEYS.contains(&key) { + return Err(CrsParseError::UnknownParameter { key: key.into() }); + } + params.push(Param { key, value }); + } + Ok(Self { params }) + } + + fn find(&self, key: &str) -> Option<&Param<'a>> { + self.params.iter().find(|p| p.key == key) + } + + /// Whether `key` is present, with or without a value. + pub fn has(&self, key: &str) -> bool { + self.find(key).is_some() + } + + /// The text value of `key`. A bare flag has no value and reads as + /// `InvalidValue`. + pub fn text(&self, key: &str) -> Result, CrsParseError> { + match self.find(key) { + None => Ok(None), + Some(Param { value: Some(v), .. }) => Ok(Some(*v)), + Some(Param { value: None, .. }) => Err(CrsParseError::invalid(key, "")), + } + } + + /// The numeric value of `key`. + pub fn number(&self, key: &str) -> Result, CrsParseError> { + match self.text(key)? { + None => Ok(None), + Some(v) => parse_number(key, v).map(Some), + } + } + + /// The numeric value of `key`, or `default` when absent. + pub fn number_or(&self, key: &str, default: f64) -> Result { + Ok(self.number(key)?.unwrap_or(default)) + } + + /// The first present key among `keys`, as a number. + pub fn number_any(&self, keys: &[&str]) -> Result, CrsParseError> { + for key in keys { + if let Some(v) = self.number(key)? { + return Ok(Some(v)); + } + } + Ok(None) + } +} + +/// Parse a finite decimal number, or a fraction `a/b` as PROJ accepts for +/// `+to_meter`. +pub fn parse_number(key: &str, text: &str) -> Result { + let bad = || CrsParseError::invalid(key, text); + let value = match text.split_once('/') { + Some((num, den)) => { + let num: f64 = num.parse().map_err(|_| bad())?; + let den: f64 = den.parse().map_err(|_| bad())?; + num / den + } + None => text.parse().map_err(|_| bad())?, + }; + if value.is_finite() { + Ok(value) + } else { + Err(bad()) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn splits_flags_and_values() { + let p = ProjParams::tokenize(" +proj=utm +zone=48 +south +no_defs").unwrap(); + assert_eq!(p.text("proj"), Ok(Some("utm"))); + assert_eq!(p.number("zone"), Ok(Some(48.0))); + assert!(p.has("south")); + assert!(!p.has("lat_0")); + assert!(p.text("south").is_err()); + } + + #[test] + fn first_occurrence_wins() { + let p = ProjParams::tokenize("+proj=tmerc +k=1 +k=2").unwrap(); + assert_eq!(p.number("k"), Ok(Some(1.0))); + } + + #[test] + fn refuses_unknown_and_malformed() { + assert_eq!( + ProjParams::tokenize("+proj=tmerc +wat=1"), + Err(CrsParseError::UnknownParameter { key: "wat".into() }) + ); + assert_eq!( + ProjParams::tokenize("+proj=tmerc lat_0=1"), + Err(CrsParseError::Malformed { + format: PROJ_FORMAT, + offset: 12 + }) + ); + assert!(ProjParams::tokenize("+ +proj=tmerc").is_err()); + } + + #[test] + fn numbers_and_fractions() { + assert_eq!(parse_number("to_meter", "1200/3937"), Ok(1200.0 / 3937.0)); + assert!(parse_number("k", "abc").is_err()); + assert!(parse_number("k", "inf").is_err()); + } +} diff --git a/nodedb-crs/src/parse/unit_names.rs b/nodedb-crs/src/parse/unit_names.rs new file mode 100644 index 000000000..e1a8869e1 --- /dev/null +++ b/nodedb-crs/src/parse/unit_names.rs @@ -0,0 +1,149 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Unit and ellipsoid names as WKT2 and PROJJSON write them. + +use super::helmert_params::SECONDS_PER_YEAR; +use super::model::{ARC_SECOND_RAD, DEGREE_RAD, PPM}; +use crate::def::Ellipsoid; + +/// Linear units with metres per unit. +const LINEAR: &[(&str, f64)] = &[ + ("metre", 1.0), + ("millimetre", 0.001), + ("kilometre", 1000.0), + ("foot", 0.3048), + ("US survey foot", 1200.0 / 3937.0), + ("Clarke's foot", 0.304_797_265_4), + ("link", 0.201_168), + ("chain", 20.1168), + ("yard", 0.9144), +]; + +/// Angular units with radians per unit. +const ANGULAR: &[(&str, f64)] = &[ + ("degree", DEGREE_RAD), + ("radian", 1.0), + ("grad", core::f64::consts::PI / 200.0), + ("arc-second", ARC_SECOND_RAD), + ("milliarc-second", ARC_SECOND_RAD / 1000.0), + ("arc-minute", DEGREE_RAD / 60.0), + ("microradian", 1e-6), +]; + +/// Scale units as factors. +const SCALE: &[(&str, f64)] = &[ + ("unity", 1.0), + ("parts per million", PPM), + ("parts per billion", PPM / 1000.0), +]; + +/// Rate and time units of a time-dependent Helmert transformation, SI per +/// second for a rate and seconds for the year: EPSG units of measure 1042, +/// 1027, 1043, 1032, 1041, 1030 and 1029. +const RATE: &[(&str, f64)] = &[ + ("metres per year", 1.0 / SECONDS_PER_YEAR), + ("millimetres per year", 0.001 / SECONDS_PER_YEAR), + ("arc-seconds per year", ARC_SECOND_RAD / SECONDS_PER_YEAR), + ( + "milliarc-seconds per year", + ARC_SECOND_RAD / 1000.0 / SECONDS_PER_YEAR, + ), + ("parts per million per year", PPM / SECONDS_PER_YEAR), + ( + "parts per billion per year", + PPM / 1000.0 / SECONDS_PER_YEAR, + ), + ("year", SECONDS_PER_YEAR), +]; + +/// WKT names of the ellipsoids PROJ names, keyed by the PROJ name. +const ELLIPSOIDS: &[(&str, &str)] = &[ + ("WGS84", "WGS 84"), + ("GRS80", "GRS 1980"), + ("WGS72", "WGS 72"), + ("intl", "International 1924"), + ("bessel", "Bessel 1841"), + ("clrk66", "Clarke 1866"), + ("clrk80ign", "Clarke 1880 (IGN)"), + ("krass", "Krassowsky 1940"), + ("airy", "Airy 1830"), + ("mod_airy", "Airy Modified 1849"), + ("evrst30", "Everest 1830 (1937 Adjustment)"), + ("evrstSS", "Everest 1830 (1967 Definition)"), + ("evrst48", "Everest 1830 Modified"), + ("evrst56", "Everest 1830 (1956)"), + ("evrst69", "Everest 1830 (1962)"), + ("aust_SA", "Australian National Spheroid"), + ("GRS67", "GRS 1967"), + ("helmert", "Helmert 1906"), +]; + +/// Metres per unit of the linear unit named `name`, compared without case. +pub(crate) fn linear_factor(name: &str) -> Option { + lookup(LINEAR, name).or(match name.to_ascii_lowercase().as_str() { + "meter" | "m" => Some(1.0), + _ => None, + }) +} + +/// Radians per unit of the angular unit named `name`. +pub(crate) fn angular_factor(name: &str) -> Option { + lookup(ANGULAR, name) +} + +/// The factor of the scale unit named `name`. +pub(crate) fn scale_factor(name: &str) -> Option { + lookup(SCALE, name) +} + +/// The factor of `name` in any unit table. +pub(crate) fn any_factor(name: &str) -> Option { + linear_factor(name) + .or_else(|| angular_factor(name)) + .or_else(|| scale_factor(name)) + .or_else(|| lookup(RATE, name)) +} + +fn lookup(table: &[(&str, f64)], name: &str) -> Option { + table + .iter() + .find(|(n, _)| n.eq_ignore_ascii_case(name)) + .map(|(_, f)| *f) +} + +/// The name of the linear unit of exactly `metres_per_unit`, if it has one. +pub(crate) fn linear_name(metres_per_unit: f64) -> Option<&'static str> { + LINEAR + .iter() + .find(|(_, f)| *f == metres_per_unit) + .map(|(n, _)| *n) +} + +/// The WKT name of `ellipsoid`, else `unknown`. +pub(crate) fn ellipsoid_name(ellipsoid: &Ellipsoid) -> &'static str { + ellipsoid + .proj_name() + .and_then(|proj| ELLIPSOIDS.iter().find(|(p, _)| *p == proj)) + .map_or("unknown", |(_, wkt)| *wkt) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn names_and_factors() { + assert_eq!(linear_factor("US survey foot"), Some(1200.0 / 3937.0)); + assert_eq!(linear_factor("Metre"), Some(1.0)); + assert_eq!(linear_name(0.3048), Some("foot")); + assert_eq!(angular_factor("degree"), Some(DEGREE_RAD)); + assert_eq!(scale_factor("parts per million"), Some(PPM)); + assert_eq!(any_factor("grad"), Some(core::f64::consts::PI / 200.0)); + // EPSG unit 1027 prints 3.16887651727315e-11 m/s. + let mm_per_yr = any_factor("millimetres per year").unwrap(); + assert!((mm_per_yr / 3.168_876_517_273_15e-11 - 1.0).abs() < 1e-14); + assert_eq!(any_factor("year"), Some(31_556_925.445)); + assert_eq!(ellipsoid_name(&Ellipsoid::WGS84), "WGS 84"); + assert_eq!(ellipsoid_name(&Ellipsoid::sphere(6_371_000.0)), "unknown"); + } +} diff --git a/nodedb-crs/src/parse/wkt2.rs b/nodedb-crs/src/parse/wkt2.rs new file mode 100644 index 000000000..2d500ff71 --- /dev/null +++ b/nodedb-crs/src/parse/wkt2.rs @@ -0,0 +1,433 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKT2 (ISO 19162:2019) parser. +//! +//! Reads a geographic CRS (`GEOGCRS`, or `GEODCRS` with an ellipsoidal +//! coordinate system), a projected CRS (`PROJCRS`), and a `BOUNDCRS` whose +//! source is one of those and whose transformation to WGS 84 is a static or +//! time-dependent Helmert transformation. A datum may be a `DATUM` or a +//! datum `ENSEMBLE`. WKT1 keywords are refused. + +use super::helmert_params::{HelmertValues, helmert_slot}; +use super::model::{ + ConversionModel, CrsModel, DEGREE_RAD, DatumModel, ParamModel, build_def, convert, +}; +use super::wkt2_tree::{WKT2_FORMAT, WktNode, WktValue, parse_tree}; +use crate::def::{AreaOfUse, AxisDirection, AxisOrder, CrsDef, CrsKind, DatumShift, Ellipsoid}; +use crate::error::CrsParseError; +use crate::srid::Srid; + +const GEOGRAPHIC: &[&str] = &["GEOGCRS", "GEOGRAPHICCRS", "GEODCRS", "GEODETICCRS"]; +const BASE_GEOGRAPHIC: &[&str] = &["BASEGEOGCRS", "BASEGEODCRS"]; +const DATUMS: &[&str] = &["DATUM", "GEODETICDATUM", "TRF", "ENSEMBLE"]; +const ELLIPSOIDS: &[&str] = &["ELLIPSOID", "SPHEROID"]; +const PRIME_MERIDIANS: &[&str] = &["PRIMEM", "PRIMEMERIDIAN"]; +const IDS: &[&str] = &["ID", "AUTHORITY"]; +const ANGLE_UNITS: &[&str] = &["ANGLEUNIT", "UNIT"]; +const LENGTH_UNITS: &[&str] = &["LENGTHUNIT", "UNIT"]; +const ANY_UNITS: &[&str] = &["ANGLEUNIT", "LENGTHUNIT", "SCALEUNIT", "UNIT"]; +/// Units a Helmert parameter carries: the reference epoch is in years. +const HELMERT_UNITS: &[&str] = &["ANGLEUNIT", "LENGTHUNIT", "SCALEUNIT", "TIMEUNIT", "UNIT"]; +const WKT1: &[&str] = &["PROJCS", "GEOGCS", "GEOCCS", "COMPD_CS", "VERT_CS"]; + +/// Parse WKT2 text into a CRS definition named `name` under `srid`. +pub fn parse_wkt2(srid: Srid, name: &str, text: &str) -> Result { + let root = parse_tree(text)?; + let model = model_of_crs(&root)?; + build_def(srid, name, &model, WKT2_FORMAT) +} + +fn invalid(detail: impl Into>) -> CrsParseError { + CrsParseError::content(WKT2_FORMAT, detail) +} + +fn model_of_crs(node: &WktNode) -> Result { + let keyword = node.keyword.as_str(); + if keyword == "BOUNDCRS" { + return bound(node); + } + if keyword == "PROJCRS" || keyword == "PROJECTEDCRS" { + return projected(node); + } + if GEOGRAPHIC.contains(&keyword) { + return geographic(node); + } + if WKT1.contains(&keyword) { + return Err(invalid(format!( + "{keyword} is WKT1; write the CRS as WKT2 (GEOGCRS or PROJCRS)" + ))); + } + Err(invalid(format!( + "{keyword} is not a supported CRS; supported: GEOGCRS, PROJCRS, BOUNDCRS" + ))) +} + +/// A `BOUNDCRS`: the source CRS with its Helmert shift to WGS 84. +fn bound(node: &WktNode) -> Result { + let source = node + .child(&["SOURCECRS"]) + .and_then(WktNode::first_node) + .ok_or_else(|| invalid("BOUNDCRS has no SOURCECRS"))?; + let target = node + .child(&["TARGETCRS"]) + .and_then(WktNode::first_node) + .ok_or_else(|| invalid("BOUNDCRS has no TARGETCRS"))?; + let target = model_of_crs(target)?; + if target.kind != CrsKind::Geographic || target.datum.ellipsoid != Ellipsoid::WGS84 { + return Err(invalid("BOUNDCRS must transform to WGS 84")); + } + let mut model = model_of_crs(source)?; + if model.datum.to_wgs84 != DatumShift::Identity { + return Err(invalid("BOUNDCRS source is itself bound")); + } + let transform = node + .child(&["ABRIDGEDTRANSFORMATION"]) + .ok_or_else(|| invalid("BOUNDCRS has no ABRIDGEDTRANSFORMATION"))?; + model.datum.to_wgs84 = transformation(transform)?; + Ok(model) +} + +/// The Helmert shift of an `ABRIDGEDTRANSFORMATION`. A parameter with no +/// unit is in the parameter's own unit: metre, arc-second, ppm, their rates +/// per year, or year for the reference epoch. A rate unit factor is SI per +/// second, as EPSG and PROJ write it. +fn transformation(node: &WktNode) -> Result { + let method = node + .child(&["METHOD"]) + .ok_or_else(|| invalid("ABRIDGEDTRANSFORMATION has no METHOD"))?; + let mut values = HelmertValues::default(); + for param in node.children(&["PARAMETER"]) { + let name = param.text(0).unwrap_or_default(); + let slot = helmert_slot(epsg_id(param), name) + .ok_or_else(|| invalid(format!("Helmert parameter '{name}' is not supported")))?; + let value = param + .number(1) + .ok_or_else(|| invalid(format!("parameter '{name}' has no value")))?; + values.set(slot, value, unit_factor(param, HELMERT_UNITS)?); + } + let accuracy = node.child(&["OPERATIONACCURACY"]).and_then(|a| a.number(0)); + values.into_shift( + epsg_id(method), + method.text(0).unwrap_or_default(), + accuracy, + WKT2_FORMAT, + ) +} + +fn geographic(node: &WktNode) -> Result { + let cs_type = node.child(&["CS"]).and_then(|cs| cs.word(0)); + if let Some(cs) = cs_type + && !cs.eq_ignore_ascii_case("ellipsoidal") + { + return Err(invalid(format!( + "a {cs} geodetic CRS is not supported; supported: ellipsoidal" + ))); + } + let angle_rad = crs_unit(node, ANGLE_UNITS)?.unwrap_or(DEGREE_RAD); + Ok(CrsModel { + name: node.text(0).unwrap_or_default().to_string(), + kind: CrsKind::Geographic, + datum: datum(node, angle_rad)?, + conversion: None, + metres_per_unit: 1.0, + axis: axis_order(node)?, + area_of_use: area(node), + }) +} + +fn projected(node: &WktNode) -> Result { + let base = node + .child(BASE_GEOGRAPHIC) + .ok_or_else(|| invalid("PROJCRS has no BASEGEOGCRS"))?; + let angle_rad = crs_unit(base, ANGLE_UNITS)?.unwrap_or(DEGREE_RAD); + let metres_per_unit = crs_unit(node, LENGTH_UNITS)?.unwrap_or(1.0); + let conversion = node + .child(&["CONVERSION"]) + .ok_or_else(|| invalid("PROJCRS has no CONVERSION"))?; + let method = conversion + .child(&["METHOD", "PROJECTION"]) + .ok_or_else(|| invalid("CONVERSION has no METHOD"))?; + let mut params = Vec::new(); + for param in conversion.children(&["PARAMETER"]) { + let name = param.text(0).unwrap_or_default(); + params.push(ParamModel { + name: name.to_string(), + code: epsg_id(param), + value: param + .number(1) + .ok_or_else(|| invalid(format!("parameter '{name}' has no value")))?, + factor: unit_factor(param, ANY_UNITS)?, + kind: None, + }); + } + Ok(CrsModel { + name: node.text(0).unwrap_or_default().to_string(), + kind: CrsKind::Projected, + datum: datum(base, angle_rad)?, + conversion: Some(ConversionModel { + method_name: method.text(0).unwrap_or_default().to_string(), + method_code: epsg_id(method), + params, + default_angle_rad: angle_rad, + default_length_m: metres_per_unit, + }), + metres_per_unit, + axis: axis_order(node)?, + area_of_use: area(node), + }) +} + +/// The datum of a geographic CRS node, its prime meridian read in +/// `angle_rad` radians per unit when it names no unit. +fn datum(crs: &WktNode, angle_rad: f64) -> Result { + let datum = crs + .child(DATUMS) + .ok_or_else(|| invalid(format!("{} has no DATUM", crs.keyword)))?; + let ellipsoid = datum + .child(ELLIPSOIDS) + .ok_or_else(|| invalid("DATUM has no ELLIPSOID"))?; + let a = ellipsoid + .number(1) + .ok_or_else(|| invalid("ELLIPSOID has no semi-major axis"))?; + let inv_f = ellipsoid + .number(2) + .ok_or_else(|| invalid("ELLIPSOID has no inverse flattening"))?; + let a = a * unit_factor(ellipsoid, LENGTH_UNITS)?.unwrap_or(1.0); + if a <= 0.0 || inv_f < 0.0 { + return Err(invalid(format!("ELLIPSOID [{a}, {inv_f}] is not valid"))); + } + let prime_meridian_deg = match crs + .child(PRIME_MERIDIANS) + .or_else(|| datum.child(PRIME_MERIDIANS)) + { + None => 0.0, + Some(pm) => { + let value = pm + .number(1) + .ok_or_else(|| invalid("PRIMEM has no longitude"))?; + let factor = unit_factor(pm, ANGLE_UNITS)?.unwrap_or(angle_rad); + convert(value, factor, DEGREE_RAD) + } + }; + Ok(DatumModel { + ellipsoid: Ellipsoid { a, inv_f }, + prime_meridian_deg, + epsg_code: epsg_id(datum), + to_wgs84: DatumShift::Identity, + }) +} + +/// The factor of the unit node of `node`, among `keywords`. +fn unit_factor(node: &WktNode, keywords: &[&str]) -> Result, CrsParseError> { + match node.child(keywords) { + None => Ok(None), + Some(unit) => unit + .number(1) + .filter(|f| *f > 0.0) + .map(Some) + .ok_or_else(|| invalid(format!("{} has no positive factor", unit.keyword))), + } +} + +/// The unit of a CRS's coordinates: from its first axis, else the unit +/// node of the CRS itself. +fn crs_unit(crs: &WktNode, keywords: &[&str]) -> Result, CrsParseError> { + if let Some(axis) = crs.child(&["AXIS"]) + && let Some(factor) = unit_factor(axis, keywords)? + { + return Ok(Some(factor)); + } + unit_factor(crs, keywords) +} + +/// The EPSG code an `ID` or `AUTHORITY` child names. +fn epsg_id(node: &WktNode) -> Option { + node.children(IDS).find_map(|id| { + if !id.text(0)?.eq_ignore_ascii_case("EPSG") { + return None; + } + match id.args.get(1)? { + WktValue::Number(n) if n.fract() == 0.0 && *n >= 0.0 && *n <= f64::from(u32::MAX) => { + Some(*n as u32) + } + WktValue::Text(t) => t.trim().parse().ok(), + WktValue::Number(_) | WktValue::Node(_) | WktValue::Word(_) => None, + } + }) +} + +/// The axis order of a CRS's `AXIS` children. Two axes along east and +/// north, in either order, read as east-north, the order NodeDB keeps +/// every coordinate in. +fn axis_order(crs: &WktNode) -> Result { + let mut directions = Vec::new(); + for axis in crs.children(&["AXIS"]).take(2) { + let word = axis + .word(1) + .ok_or_else(|| invalid("AXIS has no direction"))?; + let direction = match word.to_ascii_lowercase().as_str() { + "east" => AxisDirection::East, + "west" => AxisDirection::West, + "north" => AxisDirection::North, + "south" => AxisDirection::South, + other => { + return Err(invalid(format!( + "axis direction '{other}' is not supported; supported: east, west, north, south" + ))); + } + }; + directions.push(direction); + } + order_from_directions(&directions) +} + +/// The axis order of two horizontal directions. None or east-north in +/// either order is east, north, up. +pub(crate) fn order_from_directions( + directions: &[AxisDirection], +) -> Result { + match directions { + [] => Ok(AxisOrder::ENU), + [AxisDirection::East, AxisDirection::North] + | [AxisDirection::North, AxisDirection::East] => Ok(AxisOrder::ENU), + [x, y] => { + let text: String = [x.letter(), y.letter(), 'u'].iter().collect(); + AxisOrder::parse(&text) + } + _ => Err(CrsParseError::content( + WKT2_FORMAT, + "a CRS needs two horizontal axes", + )), + } +} + +/// The area of use: the first `BBOX`, directly or inside a `USAGE`. +fn area(crs: &WktNode) -> Option { + let bbox = crs + .child(&["BBOX"]) + .or_else(|| crs.children(&["USAGE"]).find_map(|u| u.child(&["BBOX"])))?; + Some(AreaOfUse { + south: bbox.number(0)?, + west: bbox.number(1)?, + north: bbox.number(2)?, + east: bbox.number(3)?, + }) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::method::ProjectionDef; + + fn parse(text: &str) -> Result { + parse_wkt2(Srid::new(910_001).unwrap(), "test", text) + } + + /// EPSG:32648 as PROJ 9 writes it. + const UTM_48N: &str = r#"PROJCRS["WGS 84 / UTM zone 48N", + BASEGEOGCRS["WGS 84", + ENSEMBLE["World Geodetic System 1984 ensemble", + MEMBER["World Geodetic System 1984 (Transit)"], + ELLIPSOID["WGS 84",6378137,298.257223563,LENGTHUNIT["metre",1]], + ENSEMBLEACCURACY[2.0]], + PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]], + ID["EPSG",4326]], + CONVERSION["UTM zone 48N", + METHOD["Transverse Mercator",ID["EPSG",9807]], + PARAMETER["Latitude of natural origin",0,ANGLEUNIT["degree",0.0174532925199433],ID["EPSG",8801]], + PARAMETER["Longitude of natural origin",105,ANGLEUNIT["degree",0.0174532925199433],ID["EPSG",8802]], + PARAMETER["Scale factor at natural origin",0.9996,SCALEUNIT["unity",1],ID["EPSG",8805]], + PARAMETER["False easting",500000,LENGTHUNIT["metre",1],ID["EPSG",8806]], + PARAMETER["False northing",0,LENGTHUNIT["metre",1],ID["EPSG",8807]]], + CS[Cartesian,2], + AXIS["(E)",east,ORDER[1],LENGTHUNIT["metre",1]], + AXIS["(N)",north,ORDER[2],LENGTHUNIT["metre",1]], + USAGE[SCOPE["Navigation and medium accuracy spatial referencing."], + AREA["Between 102°E and 108°E, northern hemisphere"], + BBOX[0,102,84,108]], + ID["EPSG",32648]]"#; + + #[test] + fn utm_48n_matches_the_builtin() { + let def = parse(UTM_48N).unwrap(); + let builtin = crate::CrsContext::builtin_only() + .resolve(Srid::new(32648).unwrap()) + .unwrap(); + assert_eq!(def.projection, builtin.projection); + assert_eq!(def.datum.ellipsoid, builtin.datum.ellipsoid); + assert_eq!(def.unit, builtin.unit); + assert_eq!(def.area_of_use, builtin.area_of_use); + assert_eq!(&*def.name, "test"); + } + + #[test] + fn bound_crs_carries_its_helmert_shift() { + let text = r#"BOUNDCRS[ + SOURCECRS[GEOGCRS["Kertau",DATUM["Kertau 1968",ELLIPSOID["Everest 1830 Modified",6377304.063,300.8017,LENGTHUNIT["metre",1]],ID["EPSG",6245]], + PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2], + AXIS["latitude",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]], + AXIS["longitude",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]]]], + TARGETCRS[GEOGCRS["WGS 84",DATUM["World Geodetic System 1984",ELLIPSOID["WGS 84",6378137,298.257223563]], + CS[ellipsoidal,2],AXIS["latitude",north],AXIS["longitude",east],ANGLEUNIT["degree",0.0174532925199433]]], + ABRIDGEDTRANSFORMATION["Kertau to WGS 84", + METHOD["Coordinate Frame rotation (geog2D domain)",ID["EPSG",9607]], + PARAMETER["X-axis translation",-11,ID["EPSG",8605]], + PARAMETER["Y-axis translation",851,ID["EPSG",8606]], + PARAMETER["Z-axis translation",5,ID["EPSG",8607]], + PARAMETER["X-axis rotation",0.5,ANGLEUNIT["arc-second",4.84813681109536E-06],ID["EPSG",8608]], + OPERATIONACCURACY[10]]]"#; + let def = parse(text).unwrap(); + assert!(def.is_geographic()); + assert!(def.axis.is_enu()); + assert_eq!(def.datum.epsg_code, Some(6245)); + let DatumShift::Helmert(h) = def.datum.to_wgs84 else { + panic!("expected a Helmert shift"); + }; + assert_eq!( + h.convention, + crate::def::RotationConvention::CoordinateFrame + ); + assert_eq!( + [h.tx_m, h.ty_m, h.tz_m, h.rx_arcsec], + [-11.0, 851.0, 5.0, 0.5] + ); + assert_eq!(h.accuracy_m, Some(10.0)); + } + + #[test] + fn feet_and_south_west_axes() { + let text = r#"PROJCRS["x",BASEGEOGCRS["y",DATUM["z",ELLIPSOID["GRS 1980",6378137,298.257222101]]], + CONVERSION["c",METHOD["Lambert Conic Conformal (2SP)",ID["EPSG",9802]], + PARAMETER["Latitude of false origin",40.1666666666667,ID["EPSG",8821]], + PARAMETER["Longitude of false origin",-74,ID["EPSG",8822]], + PARAMETER["Latitude of 1st standard parallel",41.0333333333333,ID["EPSG",8823]], + PARAMETER["Latitude of 2nd standard parallel",40.6666666666667,ID["EPSG",8824]], + PARAMETER["Easting at false origin",984250,ID["EPSG",8826]], + PARAMETER["Northing at false origin",0,ID["EPSG",8827]]], + CS[Cartesian,2],AXIS["x",west],AXIS["y",south],LENGTHUNIT["US survey foot",0.304800609601219]]"#; + let def = parse(text).unwrap(); + assert_eq!(def.unit.metres_per_unit, 0.304800609601219); + assert_eq!(def.axis.to_string(), "wsu"); + let Some(ProjectionDef::LambertConicConformal(lcc)) = def.projection else { + panic!("expected lcc"); + }; + // A length parameter with no unit is in the CRS's unit. + assert!((lcc.false_easting - 984_250.0 * 0.304800609601219).abs() < 1e-6); + } + + #[test] + fn refusals_name_the_problem() { + assert!(matches!( + parse(r#"PROJCS["x",GEOGCS["y"]]"#), + Err(CrsParseError::Invalid { .. }) + )); + let bonne = r#"PROJCRS["x",BASEGEOGCRS["y",DATUM["z",ELLIPSOID["e",6378137,298.257223563]]], + CONVERSION["c",METHOD["Bonne",ID["EPSG",9827]]],CS[Cartesian,2]]"#; + let err = parse(bonne).unwrap_err(); + assert!(err.to_string().contains("Bonne"), "{err}"); + assert!(matches!( + parse("GEOGCRS["), + Err(CrsParseError::Malformed { .. }) + )); + } +} diff --git a/nodedb-crs/src/parse/wkt2_tree.rs b/nodedb-crs/src/parse/wkt2_tree.rs new file mode 100644 index 000000000..2dfb5d1ce --- /dev/null +++ b/nodedb-crs/src/parse/wkt2_tree.rs @@ -0,0 +1,285 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKT text as a tree of `KEYWORD[value, ...]` nodes. +//! +//! The parser reads the shared WKT grammar: square or round brackets, +//! double-quoted text with `""` for a quote, numbers, and bare words such +//! as axis directions. It nests at most [`MAX_DEPTH`] levels, so hostile +//! input cannot exhaust the stack. + +use crate::error::CrsParseError; + +/// Format name reported by WKT2 errors. +pub const WKT2_FORMAT: &str = "WKT2"; + +/// Deepest node nesting the parser accepts. +const MAX_DEPTH: usize = 32; + +/// One argument of a node. +#[derive(Debug, Clone, PartialEq)] +pub(crate) enum WktValue { + Node(WktNode), + Text(String), + Number(f64), + Word(String), +} + +/// A `KEYWORD[...]` node. The keyword is upper-cased. +#[derive(Debug, Clone, PartialEq)] +pub(crate) struct WktNode { + pub keyword: String, + pub args: Vec, +} + +impl WktNode { + /// Argument `i` as text. + pub(crate) fn text(&self, i: usize) -> Option<&str> { + match self.args.get(i)? { + WktValue::Text(t) => Some(t), + WktValue::Node(_) | WktValue::Number(_) | WktValue::Word(_) => None, + } + } + + /// Argument `i` as a number. + pub(crate) fn number(&self, i: usize) -> Option { + match self.args.get(i)? { + WktValue::Number(n) => Some(*n), + WktValue::Node(_) | WktValue::Text(_) | WktValue::Word(_) => None, + } + } + + /// Argument `i` as a bare word. + pub(crate) fn word(&self, i: usize) -> Option<&str> { + match self.args.get(i)? { + WktValue::Word(w) => Some(w), + WktValue::Node(_) | WktValue::Text(_) | WktValue::Number(_) => None, + } + } + + /// Every child node whose keyword is in `keywords`. + pub(crate) fn children<'a>( + &'a self, + keywords: &'a [&'a str], + ) -> impl Iterator + 'a { + self.args.iter().filter_map(move |arg| match arg { + WktValue::Node(n) if keywords.contains(&n.keyword.as_str()) => Some(n), + WktValue::Node(_) | WktValue::Text(_) | WktValue::Number(_) | WktValue::Word(_) => None, + }) + } + + /// The first child node whose keyword is in `keywords`. + pub(crate) fn child<'a>(&'a self, keywords: &'a [&'a str]) -> Option<&'a WktNode> { + self.children(keywords).next() + } + + /// The first child node of any keyword. + pub(crate) fn first_node(&self) -> Option<&WktNode> { + self.args.iter().find_map(|arg| match arg { + WktValue::Node(n) => Some(n), + WktValue::Text(_) | WktValue::Number(_) | WktValue::Word(_) => None, + }) + } +} + +/// Parse `text` into its root node. Only whitespace may follow it. +pub(crate) fn parse_tree(text: &str) -> Result { + let mut parser = Parser { + bytes: text.as_bytes(), + text, + pos: 0, + }; + parser.skip_space(); + let root = parser.node(0)?; + parser.skip_space(); + if parser.pos != parser.bytes.len() { + return Err(parser.malformed()); + } + Ok(root) +} + +struct Parser<'a> { + bytes: &'a [u8], + text: &'a str, + pos: usize, +} + +impl Parser<'_> { + fn malformed(&self) -> CrsParseError { + CrsParseError::Malformed { + format: WKT2_FORMAT, + offset: self.pos, + } + } + + fn peek(&self) -> Option { + self.bytes.get(self.pos).copied() + } + + fn skip_space(&mut self) { + while self.peek().is_some_and(|b| b.is_ascii_whitespace()) { + self.pos += 1; + } + } + + /// A run of word characters: letters, digits and `_`. + fn word(&mut self) -> &str { + let start = self.pos; + while self + .peek() + .is_some_and(|b| b.is_ascii_alphanumeric() || b == b'_') + { + self.pos += 1; + } + &self.text[start..self.pos] + } + + fn node(&mut self, depth: usize) -> Result { + if depth >= MAX_DEPTH { + return Err(self.malformed()); + } + let keyword = self.word().to_ascii_uppercase(); + if keyword.is_empty() || !keyword.as_bytes()[0].is_ascii_alphabetic() { + return Err(self.malformed()); + } + self.skip_space(); + let close = match self.peek() { + Some(b'[') => b']', + Some(b'(') => b')', + _ => return Err(self.malformed()), + }; + self.pos += 1; + let mut args = Vec::new(); + self.skip_space(); + if self.peek() == Some(close) { + self.pos += 1; + return Ok(WktNode { keyword, args }); + } + loop { + self.skip_space(); + args.push(self.value(depth)?); + self.skip_space(); + match self.peek() { + Some(b',') => self.pos += 1, + Some(b) if b == close => { + self.pos += 1; + return Ok(WktNode { keyword, args }); + } + _ => return Err(self.malformed()), + } + } + } + + fn value(&mut self, depth: usize) -> Result { + match self.peek() { + Some(b'"') => self.quoted().map(WktValue::Text), + Some(b) if b == b'-' || b == b'+' || b == b'.' || b.is_ascii_digit() => { + self.number().map(WktValue::Number) + } + Some(b) if b.is_ascii_alphabetic() => { + let start = self.pos; + let word = self.word().to_string(); + self.skip_space(); + if matches!(self.peek(), Some(b'[' | b'(')) { + self.pos = start; + self.node(depth + 1).map(WktValue::Node) + } else { + Ok(WktValue::Word(word)) + } + } + _ => Err(self.malformed()), + } + } + + fn quoted(&mut self) -> Result { + let start = self.pos; + self.pos += 1; + let mut out = String::new(); + loop { + let rest = &self.text[self.pos..]; + let Some(quote) = rest.find('"') else { + self.pos = start; + return Err(self.malformed()); + }; + out.push_str(&rest[..quote]); + self.pos += quote + 1; + if self.peek() == Some(b'"') { + out.push('"'); + self.pos += 1; + } else { + return Ok(out); + } + } + } + + fn number(&mut self) -> Result { + let start = self.pos; + while self + .peek() + .is_some_and(|b| b.is_ascii_digit() || matches!(b, b'-' | b'+' | b'.' | b'e' | b'E')) + { + self.pos += 1; + } + let value: f64 = + self.text[start..self.pos] + .parse() + .map_err(|_| CrsParseError::Malformed { + format: WKT2_FORMAT, + offset: start, + })?; + if value.is_finite() { + Ok(value) + } else { + Err(CrsParseError::Malformed { + format: WKT2_FORMAT, + offset: start, + }) + } + } +} + +/// Append `text` as a WKT quoted string. +pub(crate) fn push_quoted(out: &mut String, text: &str) { + out.push('"'); + out.push_str(&text.replace('"', "\"\"")); + out.push('"'); +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn nodes_text_numbers_and_words() { + let root = parse_tree( + r#"PROJCRS["a ""b""", CS[Cartesian, 2], AXIS["x", east], LENGTHUNIT["metre", 1.5E0]]"#, + ) + .unwrap(); + assert_eq!(root.keyword, "PROJCRS"); + assert_eq!(root.text(0), Some(r#"a "b""#)); + let cs = root.child(&["CS"]).unwrap(); + assert_eq!(cs.word(0), Some("Cartesian")); + assert_eq!(cs.number(1), Some(2.0)); + assert_eq!(root.child(&["LENGTHUNIT"]).unwrap().number(1), Some(1.5)); + let round = parse_tree("unit(\"m\",1)").unwrap(); + assert_eq!(round.keyword, "UNIT"); + } + + #[test] + fn malformed_input_names_the_offset() { + for bad in ["", "A[", "A[1,]", "A[\"x]", "A[1] B", "[1]", "A[1e999]"] { + assert!( + matches!(parse_tree(bad), Err(CrsParseError::Malformed { .. })), + "{bad}" + ); + } + let deep = "A[".repeat(40) + &"]".repeat(40); + assert!(parse_tree(&deep).is_err()); + } + + #[test] + fn quoting_round_trips() { + let mut out = String::new(); + push_quoted(&mut out, r#"x"y"#); + assert_eq!(out, r#""x""y""#); + } +} diff --git a/nodedb-crs/src/parse/wkt2_writer.rs b/nodedb-crs/src/parse/wkt2_writer.rs new file mode 100644 index 000000000..63b6b82ca --- /dev/null +++ b/nodedb-crs/src/parse/wkt2_writer.rs @@ -0,0 +1,256 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKT2 (ISO 19162:2019) writer. +//! +//! Numbers print in Rust's shortest round-trip form and every parameter +//! names its unit, so [`parse_wkt2`](super::parse_wkt2) reads back the same +//! definition. A datum with a Helmert shift is written as a `BOUNDCRS` to +//! WGS 84. A time-dependent shift adds its rates, each with its EPSG +//! per-second unit factor, and its parameter reference epoch in +//! `TIMEUNIT["year",31556925.445]`. A PROJ parameter no EPSG parameter names is written as +//! `PARAMETER["PROJ ", value]`, which this crate reads back. + +use core::fmt::Write; + +use super::helmert_params::{writer_method, writer_params}; +use super::methods::ParamKind; +use super::model::{ConversionModel, CrsModel, DEGREE_RAD, DatumModel, model_of}; +use super::unit_names::{ellipsoid_name, linear_name}; +use super::wkt2_tree::push_quoted; +use crate::def::{AxisDirection, CrsDef, CrsKind, DatumShift}; +use crate::srid::SridAuthority; + +/// Append formatted text. Writing to a `String` cannot fail. +fn push(out: &mut String, args: core::fmt::Arguments<'_>) { + let _ = out.write_fmt(args); +} + +impl CrsDef { + /// This definition as WKT2:2019 text. + pub fn to_wkt2(&self) -> String { + let model = model_of(self); + let mut crs = String::new(); + write_crs(&mut crs, &model); + if let Some(code) = epsg_crs_code(self) { + // The `ID` closes the CRS node: drop its `]` and append. + crs.pop(); + push(&mut crs, format_args!(",ID[\"EPSG\",{code}]]")); + } + match &model.datum.to_wgs84 { + DatumShift::Identity => crs, + DatumShift::Helmert(h) => { + let mut out = String::from("BOUNDCRS[SOURCECRS["); + out.push_str(&crs); + out.push_str("],TARGETCRS["); + out.push_str(WGS84_WKT); + out.push_str("],ABRIDGEDTRANSFORMATION[\"Transformation to WGS 84\","); + let (method, code) = writer_method(h); + push( + &mut out, + format_args!("METHOD[\"{method}\",ID[\"EPSG\",{code}]]"), + ); + for (code, name, unit, value) in writer_params(h) { + push( + &mut out, + format_args!( + ",PARAMETER[\"{name}\",{value},{}[\"{}\",{}],ID[\"EPSG\",{code}]]", + unit.wkt_keyword(), + unit.name(), + unit.factor() + ), + ); + } + if let Some(accuracy) = h.accuracy_m { + push(&mut out, format_args!(",OPERATIONACCURACY[{accuracy}]")); + } + out.push_str("]]"); + out + } + } + } +} + +/// The EPSG code of an EPSG-authority CRS. +fn epsg_crs_code(def: &CrsDef) -> Option { + match def.srid.authority() { + SridAuthority::Epsg => Some(def.srid.code()), + SridAuthority::NodeDb | SridAuthority::User | SridAuthority::Reserved => None, + } +} + +const METRE: &str = "LENGTHUNIT[\"metre\",1]"; + +/// WGS 84 as a target CRS. +const WGS84_WKT: &str = "GEOGCRS[\"WGS 84\",DATUM[\"World Geodetic System 1984\",\ + ELLIPSOID[\"WGS 84\",6378137,298.257223563,LENGTHUNIT[\"metre\",1]],ID[\"EPSG\",6326]],\ + PRIMEM[\"Greenwich\",0,ANGLEUNIT[\"degree\",0.0174532925199433]],CS[ellipsoidal,2],\ + AXIS[\"longitude\",east,ORDER[1],ANGLEUNIT[\"degree\",0.0174532925199433]],\ + AXIS[\"latitude\",north,ORDER[2],ANGLEUNIT[\"degree\",0.0174532925199433]],\ + ID[\"EPSG\",4326]]"; + +fn degree() -> String { + format!("ANGLEUNIT[\"degree\",{DEGREE_RAD}]") +} + +fn write_crs(out: &mut String, model: &CrsModel) { + match &model.conversion { + Some(conversion) => { + out.push_str("PROJCRS["); + push_quoted(out, &model.name); + out.push_str(",BASEGEOGCRS[\"unknown\","); + write_datum(out, &model.datum); + out.push_str(",ANGLEUNIT[\"degree\","); + push(out, format_args!("{DEGREE_RAD}]],")); + write_conversion(out, conversion); + out.push_str(",CS[Cartesian,2]"); + let unit = linear_unit(model.metres_per_unit); + write_axes(out, model, &unit); + } + None => { + out.push_str("GEOGCRS["); + push_quoted(out, &model.name); + out.push(','); + write_datum(out, &model.datum); + out.push_str(",CS[ellipsoidal,2]"); + write_axes(out, model, °ree()); + } + } + if let Some(area) = &model.area_of_use { + push( + out, + format_args!( + ",USAGE[SCOPE[\"unknown\"],BBOX[{},{},{},{}]]", + area.south, area.west, area.north, area.east + ), + ); + } + out.push(']'); +} + +/// `DATUM[...]` then `PRIMEM[...]`. +fn write_datum(out: &mut String, datum: &DatumModel) { + out.push_str("DATUM[\"unknown\",ELLIPSOID["); + push_quoted(out, ellipsoid_name(&datum.ellipsoid)); + push( + out, + format_args!(",{},{},{METRE}]", datum.ellipsoid.a, datum.ellipsoid.inv_f), + ); + if let Some(code) = datum.epsg_code { + push(out, format_args!(",ID[\"EPSG\",{code}]")); + } + out.push(']'); + let pm_name = if datum.prime_meridian_deg == 0.0 { + "Greenwich" + } else { + "unknown" + }; + push( + out, + format_args!( + ",PRIMEM[\"{pm_name}\",{},{}]", + datum.prime_meridian_deg, + degree() + ), + ); +} + +fn write_conversion(out: &mut String, conversion: &ConversionModel) { + out.push_str("CONVERSION[\"unknown\",METHOD["); + push_quoted(out, &conversion.method_name); + if let Some(code) = conversion.method_code { + push(out, format_args!(",ID[\"EPSG\",{code}]")); + } + out.push(']'); + for param in &conversion.params { + out.push_str(",PARAMETER["); + push_quoted(out, ¶m.name); + push(out, format_args!(",{}", param.value)); + match param.kind { + Some(ParamKind::Angle) => push(out, format_args!(",{}", degree())), + Some(ParamKind::Length) => push(out, format_args!(",{METRE}")), + Some(ParamKind::Scale) => out.push_str(",SCALEUNIT[\"unity\",1]"), + None => {} + } + if let Some(code) = param.code { + push(out, format_args!(",ID[\"EPSG\",{code}]")); + } + out.push(']'); + } + out.push(']'); +} + +/// `LENGTHUNIT[...]` of `metres_per_unit`. +fn linear_unit(metres_per_unit: f64) -> String { + let name = linear_name(metres_per_unit).unwrap_or("unknown"); + let mut out = String::from("LENGTHUNIT["); + push_quoted(&mut out, name); + push(&mut out, format_args!(",{metres_per_unit}]")); + out +} + +/// Two `AXIS[...]` nodes in the model's axis order, each with `unit`. +fn write_axes(out: &mut String, model: &CrsModel, unit: &str) { + let geographic = model.kind == CrsKind::Geographic; + for (order, direction) in [model.axis.x, model.axis.y].into_iter().enumerate() { + let (name, word) = axis_name(direction, geographic); + push( + out, + format_args!(",AXIS[\"{name}\",{word},ORDER[{}],{unit}]", order + 1), + ); + } +} + +/// The name and WKT direction word of one axis. +fn axis_name(direction: AxisDirection, geographic: bool) -> (&'static str, &'static str) { + match (direction, geographic) { + (AxisDirection::East, true) => ("longitude", "east"), + (AxisDirection::West, true) => ("longitude", "west"), + (AxisDirection::North, true) => ("latitude", "north"), + (AxisDirection::South, true) => ("latitude", "south"), + (AxisDirection::East, false) => ("easting (X)", "east"), + (AxisDirection::West, false) => ("westing (X)", "west"), + (AxisDirection::North, false) => ("northing (Y)", "north"), + (AxisDirection::South, false) => ("southing (Y)", "south"), + (AxisDirection::Up, _) => ("height", "up"), + (AxisDirection::Down, _) => ("depth", "down"), + } +} + +#[cfg(test)] +mod tests { + use crate::CrsContext; + use crate::parse::{parse_proj_string, parse_wkt2}; + use crate::srid::Srid; + + fn round_trip(srid: Srid, text: &str) { + let def = parse_proj_string(srid, "rt", text).unwrap(); + let wkt = def.to_wkt2(); + let back = parse_wkt2(srid, "rt", &wkt).unwrap_or_else(|e| panic!("{text}\n{wkt}\n{e}")); + assert_eq!(back, def, "{text}\n{wkt}"); + } + + #[test] + fn every_method_round_trips() { + let srid = Srid::new(910_000).unwrap(); + for text in crate::parse::round_trip_cases::CASES { + round_trip(srid, text); + } + } + + /// A built-in with an EPSG datum code, a shift and an area keeps all + /// three, and names its EPSG code. + #[test] + fn builtins_round_trip_with_datum_code_and_area() { + let ctx = CrsContext::builtin_only(); + for code in [4326, 4742, 3375, 32648, 2263, 3857, 5514, 990_001, 990_002] { + let srid = Srid::new(code).unwrap(); + let def = ctx.resolve(srid).unwrap(); + let wkt = def.to_wkt2(); + let back = parse_wkt2(srid, &def.name, &wkt).unwrap_or_else(|e| panic!("{wkt}\n{e}")); + assert_eq!(back, *def, "{wkt}"); + if code < 900_000 { + assert!(wkt.contains(&format!("ID[\"EPSG\",{code}]")), "{wkt}"); + } + } + } +} diff --git a/nodedb-crs/src/registry/builtin.rs b/nodedb-crs/src/registry/builtin.rs new file mode 100644 index 000000000..9aba1f402 --- /dev/null +++ b/nodedb-crs/src/registry/builtin.rs @@ -0,0 +1,406 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The built-in CRS table: NodeDB's own codes, then every EPSG CRS. +//! +//! The EPSG table is two tab-separated files compiled into the binary: +//! `epsg.tsv` from the pinned EPSG dataset, and `epsg_supplement.tsv` with +//! EPSG CRSs published after it. No code is in both. One CRS per line, +//! sorted ascending by code, `#` starts a comment line: +//! +//! ```text +//! codekindnameareaaccuracy_mdatumproj +//! ``` +//! +//! `datum` is the EPSG code of the CRS's datum, or empty. CRSs with one +//! datum code share a datum, whatever their `+towgs84`. +//! +//! A line that does not start with a digit is not data, so a column-header +//! line is skipped like a comment. +//! +//! Lookup bisects the text by byte offset. It allocates nothing and keeps +//! no state. + +use crate::def::{AreaOfUse, CrsDef, CrsKind, DatumShift}; +use crate::error::CrsParseError; +use crate::parse::parse_proj_string; +use crate::srid::Srid; + +/// The EPSG table from the pinned EPSG dataset. +const EPSG_TSV: &str = include_str!("../../data/epsg.tsv"); + +/// EPSG CRSs newer than the pinned dataset, such as GDM2020. +const EPSG_SUPPLEMENT_TSV: &str = include_str!("../../data/epsg_supplement.tsv"); + +/// Number of tab-separated fields per data line. +const FIELDS: usize = 7; + +/// One row of the built-in table. +#[derive(Debug, Clone, Copy, PartialEq)] +pub struct BuiltinEntry { + pub code: u32, + pub kind: CrsKind, + pub name: &'static str, + /// `west,south,east,north` degrees, or empty. + pub area: &'static str, + /// Transformation accuracy in metres, or empty. + pub accuracy_m: &'static str, + /// EPSG datum code, or empty. + pub datum: &'static str, + pub proj: &'static str, +} + +impl BuiltinEntry { + /// The parsed area of use. + pub fn area_of_use(&self) -> Result, CrsParseError> { + AreaOfUse::parse(self.area) + } + + /// The parsed transformation accuracy, metres. + pub fn accuracy(&self) -> Result, CrsParseError> { + if self.accuracy_m.is_empty() { + return Ok(None); + } + self.accuracy_m + .parse::() + .ok() + .filter(|v| v.is_finite() && *v >= 0.0) + .map(Some) + .ok_or_else(|| CrsParseError::invalid("accuracy_m", self.accuracy_m)) + } + + /// The parsed EPSG datum code. + pub fn datum_code(&self) -> Result, CrsParseError> { + if self.datum.is_empty() { + return Ok(None); + } + self.datum + .parse::() + .map(Some) + .map_err(|_| CrsParseError::invalid("datum", self.datum)) + } + + /// The definition this row describes, under `srid`: its PROJ string + /// with its area, transformation accuracy and EPSG datum code. + pub fn definition(&self, srid: Srid) -> Result { + let mut def = parse_proj_string(srid, self.name, self.proj)?; + if def.kind != self.kind { + return Err(CrsParseError::invalid("kind", self.kind.as_str())); + } + def.area_of_use = self.area_of_use()?; + def.datum.epsg_code = self.datum_code()?; + let accuracy = self.accuracy()?; + match &mut def.datum.to_wgs84 { + DatumShift::Helmert(h) => h.accuracy_m = accuracy, + DatumShift::Identity => {} + } + Ok(def) + } +} + +/// NodeDB's own CRSs, checked before the EPSG table. +const NODEDB_BUILTINS: &[BuiltinEntry] = &[ + BuiltinEntry { + code: 990_001, + kind: CrsKind::Projected, + name: "MODIS Sinusoidal (SR-ORG:6842)", + area: "-180,-90,180,90", + accuracy_m: "", + datum: "", + proj: "+proj=sinu +lon_0=0 +x_0=0 +y_0=0 +R=6371007.181 +units=m +no_defs", + }, + BuiltinEntry { + code: 990_002, + kind: CrsKind::Projected, + name: "Himawari geostationary, 140.7 E", + area: "", + accuracy_m: "", + datum: "", + proj: "+proj=geos +h=35785863 +lon_0=140.7 +ellps=WGS84 +units=m +no_defs", + }, +]; + +/// The built-in CRS with `code`: NodeDB's own first, then EPSG. +pub fn builtin_lookup(code: u32) -> Option { + NODEDB_BUILTINS + .iter() + .find(|e| e.code == code) + .copied() + .or_else(|| lookup_in(EPSG_TSV, code)) + .or_else(|| lookup_in(EPSG_SUPPLEMENT_TSV, code)) +} + +/// Bisect `table` for `code`. +/// +/// Invariant: `lo` and `hi` sit on line starts (or the end), and the line +/// with `code`, if present, lies in `lo..hi`. +pub fn lookup_in(table: &'static str, code: u32) -> Option { + let bytes = table.as_bytes(); + let (mut lo, mut hi) = (0, bytes.len()); + while lo < hi { + let mid = lo + (hi - lo) / 2; + let start = line_start(bytes, lo, mid); + match first_data_line(table, start, hi) { + None => hi = start, + Some((line_at, line, next)) => { + let row_code: u32 = line.split('\t').next()?.parse().ok()?; + match row_code.cmp(&code) { + core::cmp::Ordering::Equal => return parse_row(line), + core::cmp::Ordering::Less => lo = next, + core::cmp::Ordering::Greater => hi = line_at, + } + } + } + } + None +} + +/// Start of the line holding byte `at`, never before `floor`. +fn line_start(bytes: &[u8], floor: usize, at: usize) -> usize { + bytes[floor..at] + .iter() + .rposition(|b| *b == b'\n') + .map_or(floor, |i| floor + i + 1) +} + +/// The first data line starting at or after `from` and +/// before `hi`: its start, its text without the line break, and the start +/// of the line after it. +fn first_data_line( + table: &'static str, + from: usize, + hi: usize, +) -> Option<(usize, &'static str, usize)> { + let mut at = from; + while at < hi { + let end = table[at..].find('\n').map_or(table.len(), |i| at + i); + let next = (end + 1).min(table.len()); + let line = table[at..end].trim_end_matches('\r'); + if is_data_line(line) { + return Some((at, line, next)); + } + at = next; + } + None +} + +/// Whether `line` is a data row: it starts with a code digit. Comments +/// (`#`), blank lines and a column-header line are not. +fn is_data_line(line: &str) -> bool { + line.as_bytes().first().is_some_and(u8::is_ascii_digit) +} + +/// Split one data line into a [`BuiltinEntry`]. +fn parse_row(line: &'static str) -> Option { + let mut f = line.splitn(FIELDS, '\t'); + let code = f.next()?.parse().ok()?; + let kind = CrsKind::from_name(f.next()?)?; + Some(BuiltinEntry { + code, + kind, + name: f.next()?, + area: f.next()?, + accuracy_m: f.next()?, + datum: f.next()?, + proj: f.next()?, + }) +} + +/// Every data line of `table`, in file order. +fn table_rows(table: &'static str) -> impl Iterator { + table + .lines() + .map(|l| l.trim_end_matches('\r')) + .filter(|l| is_data_line(l)) +} + +/// Every EPSG row of both files, split into its fields, ascending by code. +fn epsg_entries() -> impl Iterator { + let mut main = table_rows(EPSG_TSV).filter_map(parse_row).peekable(); + let mut newer = table_rows(EPSG_SUPPLEMENT_TSV) + .filter_map(parse_row) + .peekable(); + core::iter::from_fn( + move || match (main.peek().map(|e| e.code), newer.peek().map(|e| e.code)) { + (Some(a), Some(b)) if b < a => newer.next(), + (Some(_), Some(_) | None) => main.next(), + (None, Some(_) | None) => newer.next(), + }, + ) +} + +/// Every built-in CRS row: NodeDB's own first, then every EPSG CRS +/// ascending. +pub fn builtin_entries() -> impl Iterator { + NODEDB_BUILTINS.iter().copied().chain(epsg_entries()) +} + +/// The code of every built-in CRS of `kind`: NodeDB's own first, then +/// every EPSG CRS ascending. +pub fn builtin_codes(kind: CrsKind) -> impl Iterator { + builtin_entries() + .filter(move |e| e.kind == kind) + .filter_map(|e| Srid::new(e.code).ok()) +} + +/// The lowest-coded EPSG geographic CRS on the EPSG datum `epsg_datum`. +pub fn geographic_crs_on_datum(epsg_datum: u32) -> Option { + epsg_entries() + .filter(|e| e.kind == CrsKind::Geographic) + .find(|e| e.datum_code().ok().flatten() == Some(epsg_datum)) + .and_then(|e| Srid::new(e.code).ok()) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::parse::parse_proj_string; + + const TABLE: &str = "# EPSG 12.0 PROJ 9.8.1\n\ + code\tkind\tname\tarea\taccuracy_m\tdatum\tproj\n\ + # second comment\n\ + 3375\tprojected\tGDM2000 / Peninsula RSO\t99.59,1.21,104.6,7.81\t\t6742\t+proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.025796466667 +gamma=323.130102361111 +k=0.99984 +x_0=804671 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs\n\ + 4326\tgeographic\tWGS 84\t-180,-90,180,90\t\t6326\t+proj=longlat +datum=WGS84 +no_defs\n\ + # a comment between rows\n\ + \n\ + 4742\tgeographic\tGDM2000\t98.02,0.85,119.61,7.81\t\t6742\t+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs\n\ + 32647\tprojected\tWGS 84 / UTM zone 47N\t96,0,102,84\t\t6326\t+proj=utm +zone=47 +datum=WGS84 +units=m +no_defs\n\ + 32648\tprojected\tWGS 84 / UTM zone 48N\t102,0,108,84\t\t6326\t+proj=utm +zone=48 +datum=WGS84 +units=m +no_defs\n"; + + const CRLF_TABLE: &str = "# h\r\n10\tgeographic\tA\t\t1.5\t6326\t+proj=longlat\r\n20\tgeographic\tB\t\t\t\t+proj=longlat\r\n"; + + #[test] + fn finds_first_last_and_middle() { + for code in [3375, 4326, 4742, 32647, 32648] { + let entry = lookup_in(TABLE, code).unwrap(); + assert_eq!(entry.code, code); + } + let last = lookup_in(TABLE, 32648).unwrap(); + assert_eq!(last.kind, CrsKind::Projected); + assert_eq!(last.name, "WGS 84 / UTM zone 48N"); + assert_eq!( + last.proj, + "+proj=utm +zone=48 +datum=WGS84 +units=m +no_defs" + ); + assert_eq!(last.area_of_use().unwrap().unwrap().west, 102.0); + } + + #[test] + fn missing_codes_return_none() { + for code in [1, 3374, 3376, 4000, 4743, 32649, 999_999] { + assert!(lookup_in(TABLE, code).is_none(), "{code}"); + } + } + + #[test] + fn comment_only_and_empty_tables() { + assert!(lookup_in("", 4326).is_none()); + assert!(lookup_in("# only\n# comments\n", 4326).is_none()); + } + + #[test] + fn crlf_lines_and_accuracy() { + let a = lookup_in(CRLF_TABLE, 10).unwrap(); + assert_eq!(a.accuracy(), Ok(Some(1.5))); + assert_eq!(a.datum_code(), Ok(Some(6326))); + let b = lookup_in(CRLF_TABLE, 20).unwrap(); + assert_eq!(b.proj, "+proj=longlat"); + assert_eq!(b.accuracy(), Ok(None)); + assert_eq!(b.datum_code(), Ok(None)); + } + + #[test] + fn nodedb_builtins_come_first() { + let modis = builtin_lookup(990_001).unwrap(); + assert!(modis.proj.contains("+R=6371007.181")); + assert_eq!( + builtin_lookup(990_002).map(|e| e.kind), + Some(CrsKind::Projected) + ); + } + + #[test] + fn builtin_codes_list_nodedb_first_then_epsg_by_kind() { + let projected: Vec = builtin_codes(CrsKind::Projected) + .take(3) + .map(Srid::code) + .collect(); + assert_eq!(&projected[..2], &[990_001, 990_002]); + assert!(projected[2] < 900_000); + assert!(builtin_codes(CrsKind::Geographic).any(|s| s == Srid::WGS84)); + assert!(!builtin_codes(CrsKind::Geographic).any(|s| s.code() == 32649)); + assert!(!builtin_codes(CrsKind::Projected).any(|s| s == Srid::WGS84)); + } + + #[test] + fn geographic_crs_on_a_datum() { + assert_eq!(geographic_crs_on_datum(6326), Some(Srid::WGS84)); + assert_eq!(geographic_crs_on_datum(6742).map(Srid::code), Some(4742)); + assert_eq!(geographic_crs_on_datum(1), None); + } + + /// Every row of both EPSG files is well formed, the codes ascend + /// strictly, and no code is in both files. + #[test] + fn epsg_tables_are_well_formed_and_sorted() { + for table in [EPSG_TSV, EPSG_SUPPLEMENT_TSV] { + let mut previous = 0u32; + let mut rows = 0usize; + for line in table_rows(table) { + let entry = parse_row(line).unwrap_or_else(|| panic!("malformed row: {line}")); + assert!(entry.code > previous, "unsorted at {}", entry.code); + previous = entry.code; + entry.area_of_use().unwrap(); + entry.accuracy().unwrap(); + entry.datum_code().unwrap(); + assert_eq!(lookup_in(table, entry.code), Some(entry)); + assert_eq!(builtin_lookup(entry.code), Some(entry)); + rows += 1; + } + assert!(rows > 0); + assert!(table.starts_with("# EPSG ")); + } + for line in table_rows(EPSG_SUPPLEMENT_TSV) { + let code = parse_row(line).map(|e| e.code).unwrap_or_default(); + assert!( + lookup_in(EPSG_TSV, code).is_none(), + "{code} is in both files" + ); + } + let codes: Vec = epsg_entries().map(|e| e.code).collect(); + assert!(codes.windows(2).all(|w| w[0] < w[1]), "merged codes ascend"); + assert_eq!( + codes.len(), + table_rows(EPSG_TSV).count() + table_rows(EPSG_SUPPLEMENT_TSV).count() + ); + } + + /// GDM2020 resolves from the supplement with its EPSG datum, 1471. + #[test] + fn gdm2020_is_built_in() { + let gdm = builtin_lookup(12287).unwrap(); + assert_eq!(gdm.kind, CrsKind::Geographic); + assert_eq!(gdm.datum_code(), Ok(Some(1471))); + assert_eq!(geographic_crs_on_datum(1471).map(Srid::code), Some(12287)); + for code in 25314..=25322 { + let grid = builtin_lookup(code).unwrap(); + assert_eq!(grid.kind, CrsKind::Projected, "{code}"); + assert!(grid.name.starts_with("GDM2020 / "), "{code}"); + assert!(builtin_codes(CrsKind::Projected).any(|s| s.code() == code)); + } + } + + /// Every EPSG row parses to a definition of its listed kind. + #[test] + fn every_epsg_row_parses() { + for line in table_rows(EPSG_TSV).chain(table_rows(EPSG_SUPPLEMENT_TSV)) { + let entry = parse_row(line).unwrap_or_else(|| panic!("malformed row: {line}")); + let Ok(srid) = Srid::new(entry.code) else { + panic!("code out of range: {}", entry.code); + }; + match parse_proj_string(srid, entry.name, entry.proj) { + Ok(def) => assert_eq!(def.kind, entry.kind, "{line}"), + Err(e) => panic!("{}: {e}", entry.code), + } + } + } +} diff --git a/nodedb-crs/src/registry/context.rs b/nodedb-crs/src/registry/context.rs new file mode 100644 index 000000000..0654a11d7 --- /dev/null +++ b/nodedb-crs/src/registry/context.rs @@ -0,0 +1,331 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Per-statement CRS resolution. + +use core::cell::RefCell; +use std::sync::Arc; + +use nodedb_srid::{SridResolver, code_from_name}; + +use super::builtin::builtin_lookup; +use super::custom::{CustomCrsSet, CustomCrsState}; +use crate::def::{CrsDef, CrsKind}; +use crate::error::{CrsError, UnknownSrid}; +use crate::srid::Srid; +use crate::transform::Transformer; + +/// The user-defined set a context resolves against: borrowed for the +/// context's life, or shared through an `Arc`. +#[derive(Debug, Clone)] +enum CustomSource<'a> { + Borrowed(&'a CustomCrsSet), + Shared(Arc), +} + +impl CustomSource<'_> { + fn set(&self) -> &CustomCrsSet { + match self { + CustomSource::Borrowed(set) => set, + CustomSource::Shared(set) => set, + } + } +} + +/// Resolves SRIDs for one statement: user-defined CRSs first, then the +/// built-in table. Parsed built-ins are memoized for the context's life. +/// +/// One context serves one statement. It never crosses a plane. +#[derive(Debug)] +pub struct CrsContext<'a> { + custom: CustomSource<'a>, + memo: RefCell)>>, +} + +impl CrsContext<'static> { + /// A context with no user-defined CRSs. + pub fn builtin_only() -> CrsContext<'static> { + CrsContext::new(CustomCrsSet::empty()) + } + + /// A context that owns a share of `custom`, so it borrows nothing and a + /// caller holds it across any other borrow. + pub fn shared(custom: Arc) -> CrsContext<'static> { + CrsContext::with_source(CustomSource::Shared(custom)) + } +} + +impl<'a> CrsContext<'a> { + pub fn new(custom: &'a CustomCrsSet) -> Self { + CrsContext::with_source(CustomSource::Borrowed(custom)) + } + + fn with_source(custom: CustomSource<'a>) -> Self { + Self { + custom, + memo: RefCell::new(Vec::new()), + } + } + + /// The user-defined CRSs this context resolves first. + pub fn custom_set(&self) -> &CustomCrsSet { + self.custom.set() + } + + /// A context on the same user-defined set with its own memo. A scan + /// thread takes a fork, since a context is not `Sync`. + pub fn fork(&self) -> CrsContext<'a> { + CrsContext::with_source(self.custom.clone()) + } + + /// The definition of `srid`. + pub fn resolve(&self, srid: Srid) -> Result, UnknownSrid> { + let code = srid.code(); + if let Some(state) = self.custom_set().get(srid) { + return match state { + CustomCrsState::Live(def) => Ok(self.memoize(srid, || (**def).clone())), + CustomCrsState::Dropped => Err(UnknownSrid::Dropped { code }), + }; + } + if let Some(def) = self.memo.borrow().iter().find(|(s, _)| *s == srid) { + return Ok(Arc::clone(&def.1)); + } + let entry = builtin_lookup(code).ok_or(UnknownSrid::Undefined { code })?; + let def = entry + .definition(srid) + .map_err(|cause| UnknownSrid::Unsupported { code, cause })?; + Ok(self.memoize(srid, || def)) + } + + /// The memoized definition of `srid`, built by `make` on first use. + fn memoize(&self, srid: Srid, make: impl FnOnce() -> CrsDef) -> Arc { + let mut memo = self.memo.borrow_mut(); + if let Some((_, def)) = memo.iter().find(|(s, _)| *s == srid) { + return Arc::clone(def); + } + let def = Arc::new(make()); + memo.push((srid, Arc::clone(&def))); + def + } + + /// Check `code` names a defined CRS, without parsing it. + pub fn resolve_code(&self, code: i64) -> Result { + let code = u32::try_from(code).map_err(|_| UnknownSrid::OutOfRange { code })?; + self.resolve_u32(code) + } + + /// Check `code` names a defined CRS, without parsing it. + pub fn resolve_u32(&self, code: u32) -> Result { + let srid = Srid::new(code).map_err(|_| UnknownSrid::OutOfRange { + code: i64::from(code), + })?; + match self.custom_set().get(srid) { + Some(CustomCrsState::Live(_)) => Ok(srid), + Some(CustomCrsState::Dropped) => Err(UnknownSrid::Dropped { code: srid.code() }), + None => builtin_lookup(srid.code()) + .map(|_| srid) + .ok_or(UnknownSrid::Undefined { code: srid.code() }), + } + } + + /// Resolve a CRS name: `EPSG:n`, `NODEDB:n`, `urn:ogc:def:crs:EPSG:[v]:n`, + /// `http://www.opengis.net/def/crs/EPSG/0/n`, the OGC CRS84 URN or URL + /// (WGS 84), or `SR-ORG:6842` (MODIS sinusoidal). + pub fn resolve_name(&self, name: &str) -> Result { + let code = + code_from_name(name).ok_or_else(|| UnknownSrid::UnknownName { name: name.into() })?; + self.resolve_code(code) + } + + /// Whether `srid` is geographic or projected, without parsing a + /// built-in definition. + pub fn kind(&self, srid: Srid) -> Result { + let code = srid.code(); + match self.custom_set().get(srid) { + Some(CustomCrsState::Live(def)) => Ok(def.kind), + Some(CustomCrsState::Dropped) => Err(UnknownSrid::Dropped { code }), + None => builtin_lookup(code) + .map(|e| e.kind) + .ok_or(UnknownSrid::Undefined { code }), + } + } + + /// A transformer from `from` to `to`. [`Transformer::apply_at`] maps + /// coordinates at a given coordinate epoch, for time-dependent datum + /// shifts. + pub fn transformer(&self, from: Srid, to: Srid) -> Result { + let source = self.resolve(from)?; + let target = self.resolve(to)?; + Ok(Transformer::new(source, target)) + } +} + +impl SridResolver for CrsContext<'_> { + fn resolve_u32(&self, code: u32) -> Result { + CrsContext::resolve_u32(self, code) + } + + fn kind(&self, srid: Srid) -> Result { + CrsContext::kind(self, srid) + } + + fn resolve_name(&self, name: &str) -> Result { + CrsContext::resolve_name(self, name) + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::method::ProjectionDef; + use crate::parse::parse_proj_string; + + fn custom_set() -> CustomCrsSet { + let mut set = CustomCrsSet::new(); + let live = Srid::new(910_001).unwrap(); + set.define(parse_proj_string(live, "user", "+proj=tmerc +lon_0=102").unwrap()) + .unwrap(); + let dropped = Srid::new(910_002).unwrap(); + set.define(parse_proj_string(dropped, "gone", "+proj=longlat").unwrap()) + .unwrap(); + set.drop_crs(dropped).unwrap(); + set + } + + #[test] + fn custom_live_and_dropped() { + let set = custom_set(); + let ctx = CrsContext::new(&set); + let live = ctx.resolve(Srid::new(910_001).unwrap()).unwrap(); + assert_eq!(&*live.name, "user"); + assert_eq!( + ctx.resolve(Srid::new(910_002).unwrap()), + Err(UnknownSrid::Dropped { code: 910_002 }) + ); + assert_eq!( + ctx.resolve_code(910_002), + Err(UnknownSrid::Dropped { code: 910_002 }) + ); + assert_eq!(ctx.resolve_code(910_001).map(Srid::code), Ok(910_001)); + assert_eq!( + ctx.kind(Srid::new(910_001).unwrap()), + Ok(CrsKind::Projected) + ); + } + + #[test] + fn shared_context_resolves_its_set() { + let ctx = CrsContext::shared(Arc::new(custom_set())); + assert_eq!(ctx.resolve_u32(910_001).map(Srid::code), Ok(910_001)); + assert_eq!( + ctx.resolve_u32(910_002), + Err(UnknownSrid::Dropped { code: 910_002 }) + ); + let fork = ctx.fork(); + assert_eq!(fork.custom_set().len(), 2); + let resolver: &dyn SridResolver = &ctx; + assert_eq!(resolver.resolve_name("EPSG:4326"), Ok(Srid::WGS84)); + assert_eq!( + resolver.kind(Srid::new(910_001).unwrap()), + Ok(CrsKind::Projected) + ); + } + + #[test] + fn memo_returns_the_same_arc() { + let set = custom_set(); + let ctx = CrsContext::new(&set); + let srid = Srid::new(910_001).unwrap(); + let a = ctx.resolve(srid).unwrap(); + let b = ctx.resolve(srid).unwrap(); + assert!(Arc::ptr_eq(&a, &b)); + } + + #[test] + fn codes_out_of_range_and_undefined() { + let ctx = CrsContext::builtin_only(); + assert_eq!( + ctx.resolve_code(0), + Err(UnknownSrid::OutOfRange { code: 0 }) + ); + assert_eq!( + ctx.resolve_code(-4326), + Err(UnknownSrid::OutOfRange { code: -4326 }) + ); + assert_eq!( + ctx.resolve_code(i64::from(Srid::MAX_CODE) + 1), + Err(UnknownSrid::OutOfRange { + code: i64::from(Srid::MAX_CODE) + 1 + }) + ); + assert_eq!( + ctx.resolve_code(910_777), + Err(UnknownSrid::Undefined { code: 910_777 }) + ); + assert!(matches!( + ctx.resolve_name("ESRI:102100"), + Err(UnknownSrid::UnknownName { .. }) + )); + } + + #[test] + fn builtin_wgs84_and_names() { + let ctx = CrsContext::builtin_only(); + let def = ctx.resolve(Srid::WGS84).unwrap(); + assert!(def.is_geographic()); + assert_eq!( + ctx.resolve_name("urn:ogc:def:crs:OGC:1.3:CRS84"), + Ok(Srid::WGS84) + ); + assert_eq!(ctx.resolve_name("SR-ORG:6842"), Ok(Srid::MODIS_SINUSOIDAL)); + assert_eq!(ctx.resolve_name("EPSG:32648").map(Srid::code), Ok(32648)); + } + + /// NodeDB's own built-ins resolve: MODIS sinusoidal and Himawari + /// geostationary. + #[test] + fn nodedb_builtins_resolve() { + let ctx = CrsContext::builtin_only(); + assert_eq!(ctx.kind(Srid::MODIS_SINUSOIDAL), Ok(CrsKind::Projected)); + let modis = ctx.resolve(Srid::MODIS_SINUSOIDAL).unwrap(); + assert!(matches!( + modis.projection, + Some(ProjectionDef::Sinusoidal(_)) + )); + assert!(modis.datum.ellipsoid.is_sphere()); + let himawari = ctx.resolve(Srid::new(990_002).unwrap()).unwrap(); + let Some(ProjectionDef::GeostationarySatellite(geos)) = himawari.projection else { + panic!("expected geos: {himawari:?}"); + }; + assert_eq!(geos.h, 35_785_863.0); + assert_eq!(geos.lon0_deg, 140.7); + // The sub-satellite point maps to the grid origin. + let t = ctx + .transformer(Srid::WGS84, Srid::new(990_002).unwrap()) + .unwrap(); + let origin = t.apply([140.7, 0.0, 0.0]).unwrap(); + assert!( + origin[0].abs() < 1e-6 && origin[1].abs() < 1e-6, + "{origin:?}" + ); + let t = ctx + .transformer(Srid::WGS84, Srid::MODIS_SINUSOIDAL) + .unwrap(); + let origin = t.apply([0.0, 0.0, 0.0]).unwrap(); + assert!( + origin[0].abs() < 1e-6 && origin[1].abs() < 1e-6, + "{origin:?}" + ); + } + + /// A built-in carries its EPSG datum code, so a projected CRS and its + /// geographic base share a datum. + #[test] + fn builtin_datum_codes() { + let ctx = CrsContext::builtin_only(); + let gdm2000 = ctx.resolve(Srid::new(4742).unwrap()).unwrap(); + let rso = ctx.resolve(Srid::new(3375).unwrap()).unwrap(); + assert!(gdm2000.datum.epsg_code.is_some()); + assert_eq!(gdm2000.datum.epsg_code, rso.datum.epsg_code); + assert!(gdm2000.datum.same_datum(&rso.datum)); + } +} diff --git a/nodedb-crs/src/registry/custom.rs b/nodedb-crs/src/registry/custom.rs new file mode 100644 index 000000000..3d4b2066b --- /dev/null +++ b/nodedb-crs/src/registry/custom.rs @@ -0,0 +1,231 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! User-defined CRSs. + +use serde::{Deserialize, Serialize}; + +use crate::def::CrsDef; +use crate::error::CustomCrsError; +use crate::srid::Srid; + +/// What a user-defined code holds. +#[derive( + Debug, + Clone, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum CustomCrsState { + Live(Box), + /// The CRS was dropped. The code stays retired, so stored data that + /// names it fails to resolve instead of changing meaning. + Dropped, +} + +/// One user-defined code and its state. +#[derive( + Debug, + Clone, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct CustomCrs { + pub srid: Srid, + pub state: CustomCrsState, +} + +/// Every user-defined CRS of one database, sorted by SRID with no +/// duplicates. +#[derive(Debug, Clone, PartialEq, Default, Serialize, Deserialize)] +#[serde(try_from = "Vec", into = "Vec")] +pub struct CustomCrsSet { + entries: Vec, +} + +/// The set [`CustomCrsSet::empty`] returns. +static EMPTY: CustomCrsSet = CustomCrsSet::new(); + +/// A decoded entry list with a repeated SRID. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +#[error("SRID {srid} appears twice in the custom CRS set")] +pub struct DuplicateCustomSrid { + pub srid: Srid, +} + +impl CustomCrsSet { + /// An empty set. + pub const fn new() -> Self { + Self { + entries: Vec::new(), + } + } + + /// The empty set, borrowed for the program's life. + pub fn empty() -> &'static CustomCrsSet { + &EMPTY + } + + /// Build a set from entries in any order. Fails on a repeated SRID. + pub fn from_entries(mut entries: Vec) -> Result { + entries.sort_by_key(|e| e.srid); + if let Some(pair) = entries.windows(2).find(|w| w[0].srid == w[1].srid) { + return Err(DuplicateCustomSrid { srid: pair[0].srid }); + } + Ok(Self { entries }) + } + + fn position(&self, srid: Srid) -> Result { + self.entries.binary_search_by_key(&srid, |e| e.srid) + } + + /// The state of `srid`, if the set has ever held it. + pub fn get(&self, srid: Srid) -> Option<&CustomCrsState> { + self.position(srid).ok().map(|i| &self.entries[i].state) + } + + /// Add a live CRS. Its code must be in the user range and never used. + pub fn define(&mut self, def: CrsDef) -> Result<(), CustomCrsError> { + let srid = Srid::new_user(u64::from(def.srid.code()))?; + match self.position(srid) { + Ok(i) => Err(match self.entries[i].state { + CustomCrsState::Live(_) => CustomCrsError::Exists { srid }, + CustomCrsState::Dropped => CustomCrsError::WasDropped { srid }, + }), + Err(i) => { + self.entries.insert( + i, + CustomCrs { + srid, + state: CustomCrsState::Live(Box::new(def)), + }, + ); + Ok(()) + } + } + } + + /// Retire a live CRS. + pub fn drop_crs(&mut self, srid: Srid) -> Result<(), CustomCrsError> { + let i = self + .position(srid) + .map_err(|_| CustomCrsError::NotFound { srid })?; + match self.entries[i].state { + CustomCrsState::Live(_) => { + self.entries[i].state = CustomCrsState::Dropped; + Ok(()) + } + CustomCrsState::Dropped => Err(CustomCrsError::NotFound { srid }), + } + } + + /// Every entry, ascending by SRID. + pub fn entries(&self) -> &[CustomCrs] { + &self.entries + } + + pub fn len(&self) -> usize { + self.entries.len() + } + + pub fn is_empty(&self) -> bool { + self.entries.is_empty() + } +} + +impl TryFrom> for CustomCrsSet { + type Error = DuplicateCustomSrid; + + fn try_from(entries: Vec) -> Result { + CustomCrsSet::from_entries(entries) + } +} + +impl From for Vec { + fn from(set: CustomCrsSet) -> Self { + set.entries + } +} + +impl zerompk::ToMessagePack for CustomCrsSet { + fn write(&self, writer: &mut W) -> zerompk::Result<()> { + self.entries.write(writer) + } +} + +impl<'a> zerompk::FromMessagePack<'a> for CustomCrsSet { + fn read>(reader: &mut R) -> zerompk::Result { + let entries = Vec::::read(reader)?; + CustomCrsSet::from_entries(entries) + .map_err(|e| zerompk::Error::KeyDuplicated(e.srid.to_string())) + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::parse::parse_proj_string; + + fn def(code: u32) -> CrsDef { + let srid = Srid::new(code).unwrap(); + parse_proj_string(srid, "user tm", "+proj=tmerc +lon_0=102 +ellps=GRS80").unwrap() + } + + #[test] + fn define_drop_and_refuse_reuse() { + let mut set = CustomCrsSet::new(); + set.define(def(910_002)).unwrap(); + set.define(def(910_001)).unwrap(); + assert_eq!(set.entries()[0].srid.code(), 910_001); + let srid = Srid::new(910_001).unwrap(); + assert_eq!( + set.define(def(910_001)), + Err(CustomCrsError::Exists { srid }) + ); + set.drop_crs(srid).unwrap(); + assert_eq!(set.get(srid), Some(&CustomCrsState::Dropped)); + assert_eq!( + set.define(def(910_001)), + Err(CustomCrsError::WasDropped { srid }) + ); + assert_eq!(set.drop_crs(srid), Err(CustomCrsError::NotFound { srid })); + } + + #[test] + fn refuses_codes_outside_user_range() { + let mut set = CustomCrsSet::new(); + let err = set.define(def(4326)); + assert_eq!( + err, + Err(CustomCrsError::NotUserCode(crate::NotUserSrid { + code: 4326 + })) + ); + } + + #[test] + fn msgpack_round_trip_is_exact() { + let mut set = CustomCrsSet::new(); + set.define(def(910_005)).unwrap(); + set.define(def(910_003)).unwrap(); + set.drop_crs(Srid::new(910_003).unwrap()).unwrap(); + let bytes = zerompk::to_msgpack_vec(&set).unwrap(); + let back: CustomCrsSet = zerompk::from_msgpack(&bytes).unwrap(); + assert_eq!(back, set); + } + + #[test] + fn decode_refuses_duplicates() { + let entry = CustomCrs { + srid: Srid::new(910_001).unwrap(), + state: CustomCrsState::Dropped, + }; + let bytes = zerompk::to_msgpack_vec(&vec![entry.clone(), entry]).unwrap(); + assert!(zerompk::from_msgpack::(&bytes).is_err()); + } +} diff --git a/nodedb-crs/src/registry/mod.rs b/nodedb-crs/src/registry/mod.rs new file mode 100644 index 000000000..ec1792472 --- /dev/null +++ b/nodedb-crs/src/registry/mod.rs @@ -0,0 +1,16 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Where CRS definitions come from: the built-in table and user-defined +//! sets, resolved through a per-statement context. + +pub mod builtin; +pub mod context; +pub mod custom; + +pub use builtin::{ + BuiltinEntry, builtin_codes, builtin_entries, builtin_lookup, geographic_crs_on_datum, + lookup_in, +}; +pub use context::CrsContext; +pub use custom::{CustomCrs, CustomCrsSet, CustomCrsState, DuplicateCustomSrid}; +pub use nodedb_srid::code_from_name; diff --git a/nodedb-crs/src/transform.rs b/nodedb-crs/src/transform.rs new file mode 100644 index 000000000..d0cb0ce7f --- /dev/null +++ b/nodedb-crs/src/transform.rs @@ -0,0 +1,529 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Coordinate transformation between two CRS definitions. +//! +//! Pipeline: source axis order to native east, north, up → source units → +//! metres → inverse projection to (λ, φ, h) on the source ellipsoid (a +//! geographic source reads degrees directly) → prime meridian to Greenwich +//! → datum shift through ECEF and WGS 84 when both datums are known and +//! differ → target prime meridian → forward projection → target units → +//! target axis order. +//! +//! Two datums differ unless [`Datum::same_datum`] holds: equal EPSG datum +//! codes, or one ellipsoid with shifts of the same effect. A projected CRS +//! and its own geographic base share an EPSG datum code, so no shift runs +//! between them even when their `to_wgs84` differ, as in PROJ. +//! +//! A datum with no known shift to WGS 84 is passed through: its geodetic +//! coordinates carry over unchanged, as PROJ's ballpark transformation does. +//! +//! A time-dependent Helmert shift takes its parameters at the coordinate +//! epoch passed to [`Transformer::apply_at`]. [`Transformer::apply`] takes +//! each shift at its own parameter reference epoch, where only the static +//! parameters act. + +use std::sync::Arc; + +use crate::datum::{ecef_to_geodetic, geodetic_to_ecef}; +use crate::def::{CoordinateEpoch, CrsDef, Datum, DatumShift}; +use crate::error::{CrsError, DomainReason}; +use crate::method::Projector; +use crate::method::angle::{wrap_lon_deg, wrap_pi}; +use crate::srid::Srid; + +/// Largest absolute latitude, degrees. +const MAX_LATITUDE_DEG: f64 = 90.0; + +/// Which steps a transform runs. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +enum Path { + /// Source and target are the same CRS. + Identity, + /// One datum, or one side unknown: no ECEF step. + SameDatum, + /// Both datums are known and differ: shift through ECEF and WGS 84. + DatumShift, +} + +/// A prepared transform from one CRS to another. +#[derive(Debug, Clone)] +pub struct Transformer { + source: Arc, + target: Arc, + path: Path, + source_projector: Option, + target_projector: Option, +} + +/// One side of a transform. A side with no projector is geographic. +struct Side<'a> { + def: &'a CrsDef, + projector: Option<&'a Projector>, +} + +impl Transformer { + pub fn new(source: Arc, target: Arc) -> Self { + let path = if Arc::ptr_eq(&source, &target) || *source == *target { + Path::Identity + } else if needs_shift(&source.datum, &target.datum) { + Path::DatumShift + } else { + Path::SameDatum + }; + let prepare = |def: &CrsDef| def.projection.map(|p| p.prepare(&def.datum.ellipsoid)); + Self { + source_projector: prepare(&source), + target_projector: prepare(&target), + source, + target, + path, + } + } + + pub fn source(&self) -> &Arc { + &self.source + } + + pub fn target(&self) -> &Arc { + &self.target + } + + /// Map one coordinate. x, y are in source units (degrees for a + /// geographic CRS), in the source axis order. z is ellipsoidal height + /// in metres. 2D callers pass z = 0. The output follows the target + /// axis order. + /// + /// A time-dependent datum shift runs at its parameter reference epoch. + /// Use [`Transformer::apply_at`] for coordinates at another epoch. + pub fn apply(&self, xyz: [f64; 3]) -> Result<[f64; 3], CrsError> { + self.run(xyz, None) + } + + /// Map one coordinate that refers to coordinate epoch `epoch`. Every + /// time-dependent datum shift takes its parameters at `epoch`, IOGP + /// GN 7-2 §4.2.5. Static shifts and same-datum paths ignore the epoch. + /// Arguments and output are as for [`Transformer::apply`]. + pub fn apply_at(&self, xyz: [f64; 3], epoch: CoordinateEpoch) -> Result<[f64; 3], CrsError> { + self.run(xyz, Some(epoch)) + } + + fn run(&self, xyz: [f64; 3], epoch: Option) -> Result<[f64; 3], CrsError> { + let [x, y, z] = xyz; + let fail = |srid: Srid, reason: DomainReason| CrsError::OutOfDomain { srid, x, y, reason }; + if !(x.is_finite() && y.is_finite() && z.is_finite()) { + return Err(fail(self.source.srid, DomainReason::NonFinite)); + } + if self.path == Path::Identity { + return Ok(xyz); + } + let source = Side { + def: &self.source, + projector: self.source_projector.as_ref(), + }; + let target = Side { + def: &self.target, + projector: self.target_projector.as_ref(), + }; + let [east, north, up] = self.source.axis.to_native(xyz); + let (lam, phi) = + to_geodetic(&source, east, north).map_err(|r| fail(self.source.srid, r))?; + let (lam, phi, h) = match self.path { + Path::Identity | Path::SameDatum => (lam, phi, up), + Path::DatumShift => shift( + &self.source.datum, + &self.target.datum, + epoch, + [lam, phi, up], + ), + }; + let (out_x, out_y) = + from_geodetic(&target, lam, phi).map_err(|r| fail(self.target.srid, r))?; + Ok(self.target.axis.from_native([out_x, out_y, h])) + } +} + +/// Whether a transform between the two datums runs the ECEF step. +fn needs_shift(source: &Datum, target: &Datum) -> bool { + source.is_known() && target.is_known() && !source.same_datum(target) +} + +/// Source coordinates to λ (from Greenwich), φ radians. +fn to_geodetic(side: &Side<'_>, x: f64, y: f64) -> Result<(f64, f64), DomainReason> { + let pm = side.def.datum.prime_meridian_deg; + match side.projector { + None => { + if y.abs() > MAX_LATITUDE_DEG { + return Err(DomainReason::LatitudeRange); + } + Ok(((x + pm).to_radians(), y.to_radians())) + } + Some(p) => { + let m = side.def.unit.metres_per_unit; + let (lam, phi) = p.inverse(x * m, y * m)?; + Ok((lam + pm.to_radians(), phi)) + } + } +} + +/// λ (from Greenwich), φ radians to target coordinates. +fn from_geodetic(side: &Side<'_>, lam: f64, phi: f64) -> Result<(f64, f64), DomainReason> { + let pm = side.def.datum.prime_meridian_deg; + match side.projector { + None => { + let out = (wrap_lon_deg(lam.to_degrees() - pm), phi.to_degrees()); + if out.0.is_finite() && out.1.is_finite() { + Ok(out) + } else { + Err(DomainReason::NonFinite) + } + } + Some(p) => { + let m = side.def.unit.metres_per_unit; + // Oblique methods scale λ − λ0 by a constant, so λ must sit in + // [−π, π] before it reaches them. + let (x, y) = p.forward(wrap_pi(lam - pm.to_radians()), phi)?; + Ok((x / m, y / m)) + } + } +} + +/// Shift λ, φ, h from the source datum to the target datum through ECEF. +/// A time-dependent shift takes its parameters at `epoch`, or at its own +/// reference epoch when `epoch` is `None`. +fn shift( + source: &Datum, + target: &Datum, + epoch: Option, + [lam, phi, h]: [f64; 3], +) -> (f64, f64, f64) { + let local = geodetic_to_ecef(lam, phi, h, &source.ellipsoid); + let wgs84 = match &source.to_wgs84 { + DatumShift::Identity => local, + DatumShift::Helmert(t) => match epoch { + None => t.forward(local), + Some(e) => t.at_epoch(e.year()).forward(local), + }, + }; + let target_xyz = match &target.to_wgs84 { + DatumShift::Identity => wgs84, + DatumShift::Helmert(t) => match epoch { + None => t.inverse(wgs84), + Some(e) => t.at_epoch(e.year()).inverse(wgs84), + }, + }; + ecef_to_geodetic(target_xyz, &target.ellipsoid) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::parse::parse_proj_string; + + /// One millimetre, the tolerance for PROJ reference values. + const MM: f64 = 1e-3; + + /// Metres per degree of latitude, rounded up. Converts a metre + /// tolerance to a conservative degree tolerance. + const METRES_PER_DEGREE: f64 = 111_320.0; + + fn def(code: u32, proj: &str) -> Arc { + let srid = Srid::new(code).unwrap(); + Arc::new(parse_proj_string(srid, "t", proj).unwrap()) + } + + fn wgs84() -> Arc { + def(4326, "+proj=longlat +datum=WGS84 +no_defs") + } + + fn utm48n() -> Arc { + def(32648, "+proj=utm +zone=48 +datum=WGS84 +units=m +no_defs") + } + + fn kertau_geographic() -> Arc { + def( + 4245, + "+proj=longlat +ellps=evrst48 +towgs84=-11,851,5,0,0,0,0 +no_defs", + ) + } + + #[test] + fn wgs84_to_utm48n_and_back() { + let fwd = Transformer::new(wgs84(), utm48n()); + let inv = Transformer::new(utm48n(), wgs84()); + for [lon, lat] in [ + [101.7117, 3.1579], + [105.0, 0.0], + [103.5, -1.5], + [109.0, 6.0], + ] { + let p = fwd.apply([lon, lat, 0.0]).unwrap(); + let back = inv.apply(p).unwrap(); + let tol = MM / METRES_PER_DEGREE; + assert!( + (back[0] - lon).abs() < tol && (back[1] - lat).abs() < tol, + "{lon} {lat} -> {back:?}" + ); + } + // PROJ 9.8.1 via pyproj, EPSG:4326 → EPSG:32648, always_xy. + let klcc = fwd.apply([101.7117, 3.1579, 0.0]).unwrap(); + assert!((klcc[0] - 134_445.592_4).abs() < MM && (klcc[1] - 349_624.727_8).abs() < MM); + } + + #[test] + fn identity_returns_input() { + let t = Transformer::new(utm48n(), utm48n()); + assert_eq!(t.apply([1.0, 2.0, 3.0]), Ok([1.0, 2.0, 3.0])); + } + + #[test] + fn helmert_datum_round_trip_below_a_micrometre() { + let to_kertau = Transformer::new(wgs84(), kertau_geographic()); + let back = Transformer::new(kertau_geographic(), wgs84()); + assert_eq!(to_kertau.path, Path::DatumShift); + let input = [101.7117, 3.1579, 30.0]; + let k = to_kertau.apply(input).unwrap(); + // The shift moves the point by hundreds of metres. + assert!((k[0] - input[0]).abs() > 1e-4 || (k[1] - input[1]).abs() > 1e-4); + let w = back.apply(k).unwrap(); + let tol = 1e-6 / METRES_PER_DEGREE; + assert!( + (w[0] - input[0]).abs() < tol && (w[1] - input[1]).abs() < tol, + "{w:?}" + ); + assert!((w[2] - input[2]).abs() < 1e-6, "{w:?}"); + } + + /// A translation-only shift between datums on one ellipsoid moves the + /// ECEF point by exactly the translation. + #[test] + fn translation_moves_ecef_by_the_vector() { + let src = def(910_001, "+proj=longlat +ellps=WGS84 +towgs84=100,-50,25"); + let t = Transformer::new(src, wgs84()); + let input = [10.0, 45.0, 0.0]; + let out = t.apply(input).unwrap(); + let ell = crate::def::Ellipsoid::WGS84; + let a = geodetic_to_ecef(input[0].to_radians(), input[1].to_radians(), input[2], &ell); + let b = geodetic_to_ecef(out[0].to_radians(), out[1].to_radians(), out[2], &ell); + for (i, want) in [100.0, -50.0, 25.0].into_iter().enumerate() { + assert!((b[i] - a[i] - want).abs() < 1e-6, "{i}: {}", b[i] - a[i]); + } + } + + /// An unknown datum (a sphere with no shift) passes geodetic + /// coordinates through, as PROJ does for MODIS sinusoidal. + #[test] + fn unknown_datum_skips_the_shift() { + let sphere = def(990_100, "+proj=longlat +R=6371007.181 +no_defs"); + let t = Transformer::new(wgs84(), sphere); + assert_eq!(t.path, Path::SameDatum); + let out = t.apply([101.5, 3.25, 7.0]).unwrap(); + assert!( + (out[0] - 101.5).abs() < 1e-12 && (out[1] - 3.25).abs() < 1e-12, + "{out:?}" + ); + assert_eq!(out[2], 7.0); + } + + #[test] + fn units_and_prime_meridian() { + let feet = def(910_002, "+proj=utm +zone=48 +datum=WGS84 +units=us-ft"); + let metres = Transformer::new(wgs84(), utm48n()) + .apply([104.0, 2.0, 0.0]) + .unwrap(); + let in_feet = Transformer::new(wgs84(), feet) + .apply([104.0, 2.0, 0.0]) + .unwrap(); + let m = 1200.0 / 3937.0; + assert!((in_feet[0] * m - metres[0]).abs() < 1e-6); + assert!((in_feet[1] * m - metres[1]).abs() < 1e-6); + let paris = def(910_003, "+proj=longlat +datum=WGS84 +pm=paris"); + let out = Transformer::new(wgs84(), paris) + .apply([2.337_229_166_667, 48.0, 0.0]) + .unwrap(); + assert!(out[0].abs() < 1e-9, "{out:?}"); + } + + #[test] + fn errors_name_the_failing_crs() { + let t = Transformer::new(wgs84(), utm48n()); + let err = t.apply([179.0, 3.0, 0.0]).unwrap_err(); + assert_eq!( + err, + CrsError::OutOfDomain { + srid: Srid::new(32648).unwrap(), + x: 179.0, + y: 3.0, + reason: DomainReason::CentralMeridianOffset + } + ); + let err = t.apply([100.0, 95.0, 0.0]).unwrap_err(); + assert!( + matches!(err, CrsError::OutOfDomain { srid, reason: DomainReason::LatitudeRange, .. } if srid == Srid::WGS84) + ); + assert!(t.apply([f64::NAN, 0.0, 0.0]).is_err()); + } + + /// A GRS 1980 geographic CRS whose shift to WGS 84 is the EPSG 6276 + /// time-dependent Coordinate Frame rotation, IOGP GN 7-2 §4.2.5. + fn time_dependent_geographic() -> Arc { + use crate::def::{Helmert, HelmertRates, RotationConvention}; + let mut d = (*def(910_005, "+proj=longlat +ellps=GRS80 +no_defs")).clone(); + let mut h = Helmert::position_vector([ + -0.084_68, + -0.019_42, + 0.032_01, + -0.000_425_4, + 0.002_257_8, + 0.002_401_5, + 0.009_71, + ]); + h.convention = RotationConvention::CoordinateFrame; + h.rates = Some(HelmertRates::new( + [ + 0.001_42, + 0.001_34, + 0.000_90, + 0.001_546_1, + 0.001_182_0, + 0.001_155_1, + 0.000_109, + ], + 1994.0, + )); + d.datum.to_wgs84 = DatumShift::Helmert(h); + Arc::new(d) + } + + /// PROJ 9.8.1 pipeline: unitconvert, cart GRS80, `+proj=helmert` with + /// the EPSG 6276 parameters and `+t_epoch=1994 + /// +convention=coordinate_frame`, inverse cart WGS84, on (128, −16, + /// 100 m), as (epoch, lon, lat, h). + const PROJ_TIME_DEPENDENT: [[f64; 4]; 3] = [ + [ + 2013.9, + 127.999_993_192_190_9, + -16.000_010_577_429_9, + 100.103_043_247_014_28, + ], + [ + 1994.0, + 127.999_999_906_555_56, + -15.999_999_923_389_051, + 100.088_547_978_550_2, + ], + [ + 2030.25, + 127.999_987_675_614_36, + -16.000_019_330_875_343, + 100.114_952_898_584_3, + ], + ]; + + /// Height agreement with PROJ, metres. + const HEIGHT_TOL_M: f64 = 1e-6; + + #[test] + fn apply_at_matches_proj_time_dependent_helmert() { + let t = Transformer::new(time_dependent_geographic(), wgs84()); + let tol = 1e-6 / METRES_PER_DEGREE; + for [epoch, lon, lat, h] in PROJ_TIME_DEPENDENT { + let at = CoordinateEpoch::new(epoch).unwrap(); + let out = t.apply_at([128.0, -16.0, 100.0], at).unwrap(); + assert!( + (out[0] - lon).abs() < tol && (out[1] - lat).abs() < tol, + "{epoch}: {out:?}" + ); + assert!((out[2] - h).abs() < HEIGHT_TOL_M, "{epoch}: {out:?}"); + let back = Transformer::new(wgs84(), time_dependent_geographic()) + .apply_at(out, at) + .unwrap(); + assert!( + (back[0] - 128.0).abs() < tol && (back[1] + 16.0).abs() < tol, + "{epoch}: {back:?}" + ); + } + } + + /// Without an epoch the shift runs at its reference epoch, 1994.0. + #[test] + fn apply_uses_the_reference_epoch() { + let t = Transformer::new(time_dependent_geographic(), wgs84()); + let input = [128.0, -16.0, 100.0]; + let at_reference = t + .apply_at(input, CoordinateEpoch::new(1994.0).unwrap()) + .unwrap(); + assert_eq!(t.apply(input).unwrap(), at_reference); + let [_, lon, lat, _] = PROJ_TIME_DEPENDENT[1]; + let out = t.apply(input).unwrap(); + let tol = 1e-6 / METRES_PER_DEGREE; + assert!((out[0] - lon).abs() < tol && (out[1] - lat).abs() < tol); + } + + /// A static shift gives the same result at every epoch. + #[test] + fn static_shift_ignores_the_epoch() { + let t = Transformer::new(kertau_geographic(), wgs84()); + let input = [101.7117, 3.1579, 30.0]; + let at = CoordinateEpoch::new(2150.0).unwrap(); + assert_eq!(t.apply_at(input, at), t.apply(input)); + } + + /// EPSG:2046 Hartebeesthoek94 / Lo15 is west-south: x is westing and y + /// southing. PROJ 9.8.1 reference row from the fixture. + #[test] + fn axis_order_applies_on_both_sides() { + let lo15 = def( + 2046, + "+proj=tmerc +axis=wsu +lat_0=0 +lon_0=15 +k=1 +x_0=0 +y_0=0 +ellps=WGS84 \ + +towgs84=0,0,0 +units=m +no_defs", + ); + let fwd = Transformer::new(wgs84(), Arc::clone(&lo15)); + let p = fwd.apply([14.475, -22.915, 0.0]).unwrap(); + assert!((p[0] - 53_858.502_884_905_3).abs() < MM, "{p:?}"); + assert!((p[1] - 2_535_220.466_812_430_4).abs() < MM, "{p:?}"); + let back = Transformer::new(lo15, wgs84()).apply(p).unwrap(); + let tol = MM / METRES_PER_DEGREE; + assert!( + (back[0] - 14.475).abs() < tol && (back[1] + 22.915).abs() < tol, + "{back:?}" + ); + let neu = def(910_004, "+proj=longlat +axis=neu +datum=WGS84"); + let swapped = Transformer::new(wgs84(), neu) + .apply([101.5, 3.25, 7.0]) + .unwrap(); + assert_eq!(swapped, [3.25, 101.5, 7.0]); + } + + /// Equal EPSG datum codes skip the shift although the `+towgs84` + /// values differ. Different codes run it. + #[test] + fn epsg_datum_code_decides_the_path() { + let coded = |code: u32, text: &str, datum: u32| { + let mut d = (*def(code, text)).clone(); + d.datum.epsg_code = Some(datum); + Arc::new(d) + }; + let base = coded( + 4230, + "+proj=longlat +ellps=intl +towgs84=-87,-98,-121", + 6230, + ); + let grid = coded( + 23031, + "+proj=utm +zone=31 +ellps=intl +towgs84=-84,-107,-120 +units=m", + 6230, + ); + assert_eq!( + Transformer::new(Arc::clone(&base), Arc::clone(&grid)).path, + Path::SameDatum + ); + let other = coded( + 4231, + "+proj=longlat +ellps=intl +towgs84=-83,-96,-113", + 6231, + ); + assert_eq!(Transformer::new(other, grid).path, Path::DatumShift); + let wgs = coded(4326, "+proj=longlat +datum=WGS84", 6326); + assert_eq!(Transformer::new(base, wgs).path, Path::DatumShift); + } +} diff --git a/nodedb-crs/tests/fixtures/proj_reference.tsv b/nodedb-crs/tests/fixtures/proj_reference.tsv new file mode 100644 index 000000000..b24575577 --- /dev/null +++ b/nodedb-crs/tests/fixtures/proj_reference.tsv @@ -0,0 +1,28755 @@ +# EPSG v12.029 PROJ 9.8.1 pyproj 3.8.0 +# Built from the PROJ strings in epsg.tsv and epsg_supplement.tsv. +# Forward rows use the CRS's own geographic base. +# A forward row applies no datum shift, even when the base row has another +towgs84. +src dst x_in y_in x_out y_out +4600 2000 -63.07 18.22 286871.6885770898 2014479.544391806 +4600 2000 -63.205 18.121 272525.0337998599 2003614.964394131 +4600 2000 -62.935 18.319 301202.02260099887 2025353.9771599248 +4601 2001 -61.78 17.08 423405.7820363475 1888064.0945938756 +2001 4326 423405.7820363475 1888064.0945938756 -61.782177573252035 17.079129419744902 +4601 2001 -61.933 16.954 407132.8806060881 1874115.825936658 +2001 4326 407132.8806060881 1874115.825936658 -61.9351788008882 16.953137646164045 +4601 2001 -61.627 17.206 439656.8483911668 1902025.543732126 +2001 4326 439656.8483911668 1902025.543732126 -61.629176338918384 17.20512124466366 +4602 2002 -61.375 15.415 467056.70287295897 1704003.7804212302 +2002 4326 467056.70287295897 1704003.7804212302 -61.36601388739811 15.41866513748327 +4602 2002 -61.5325 15.1675 450216.9347002575 1676589.8143592475 +2002 4326 450216.9347002575 1676589.8143592475 -61.52353095315326 15.171190900996944 +4602 2002 -61.2175 15.6625 483855.6544691729 1731432.1272333697 +2002 4326 483855.6544691729 1731432.1272333697 -61.20849668213522 15.666139190720717 +4603 2003 -61.595 12.254999999999999 444042.86963298905 1354527.1457709942 +2003 4326 444042.86963298905 1354527.1457709942 -61.593483539010286 12.254809513825945 +4603 2003 -61.8155 11.971499999999999 420085.0323471887 1323157.4856262794 +2003 4326 420085.0323471887 1323157.4856262794 -61.81399058093881 11.971333297838946 +4603 2003 -61.374500000000005 12.5385 467949.0174421381 1385918.6111268182 +2003 4326 467949.0174421381 1385918.6111268182 -61.37297646755198 12.538285770483846 +4604 2004 -62.185 16.745 380283.0729363072 1851007.6261405195 +2004 4326 380283.0729363072 1851007.6261405195 -62.18198564419486 16.74703543443475 +4604 2004 -62.2795 16.6325 370193.9665940874 1838576.554911524 +2004 4326 370193.9665940874 1838576.554911524 -62.27649106438744 16.63454501324665 +4604 2004 -62.0905 16.8575 390360.38412486436 1863443.5096490711 +2004 4326 390360.38412486436 1863443.5096490711 -62.08748021426472 16.859525848044576 +4605 2005 -62.71 17.259999999999998 324534.54176759796 1908098.9220918003 +2005 4326 324534.54176759796 1908098.9220918003 -62.70913574478199 17.260676265203205 +4605 2005 -62.899 17.08 304352.38924343575 1888271.3011303751 +2005 4326 304352.38924343575 1888271.3011303751 -62.898141494964555 17.08069112206941 +4605 2005 -62.521 17.44 344677.76826740603 1927945.2168554221 +2005 4326 344677.76826740603 1927945.2168554221 -62.52012998434602 17.440661433290384 +4606 2006 -60.975 13.91 510729.9677754257 1537720.0617661602 +2006 4326 510729.9677754257 1537720.0617661602 -60.97555101042338 13.91167519569839 +4606 2006 -61.1145 13.685 495750.4537367327 1512778.081879602 +2006 4326 495750.4537367327 1512778.081879602 -61.11505516285379 13.686692289461998 +4606 2006 -60.8355 14.135 525679.2217463588 1562673.2494545372 +2006 4326 525679.2217463588 1562673.2494545372 -60.836046855151125 14.136658150792003 +4607 2007 -61.295 12.989999999999998 476449.87260741374 1435863.4024487808 +2007 4326 476449.87260741374 1435863.4024487808 -61.29194590886501 12.991440257494165 +4607 2007 -61.4975 12.584999999999999 454577.18235072494 1391031.3758896766 +2007 4326 454577.18235072494 1391031.3758896766 -61.494457221084474 12.586474375696648 +4607 2007 -61.0925 13.395 498248.4532729144 1480717.7982985815 +2007 4326 498248.4532729144 1480717.7982985815 -61.08943444612674 13.396406121692596 +4609 2009 -58.55 51.105000000000004 301298.277109251 5662983.064347334 +4609 2009 -59.855 50.2905 208247.00563102035 5573262.034878505 +4609 2009 -57.245000000000005 51.9195 391138.0816868866 5754337.279559224 +4609 2010 -61.5 49.584999999999994 304800.0 5493920.120368958 +4609 2010 -62.85 47.402499999999996 202905.82215561616 5252134.621448245 +4609 2010 -60.15 51.7675 397986.70179898554 5737544.765922811 +4609 2011 -64.5 54.185 304800.0 6005690.804414152 +4609 2011 -65.85 48.5735 205185.33552386172 5382321.191415609 +4609 2011 -63.15 59.7965 380584.0533583963 6631302.213192502 +4609 2012 -67.5 53.155 304800.0 5891063.468818495 +4609 2012 -68.85 47.8945 203858.3987639225 5306829.886663586 +4609 2012 -66.15 58.4155 383694.3598077466 6477495.744214486 +4609 2013 -70.5 53.405 304800.0 5918883.792504978 +4609 2013 -71.85 45.8495 199948.98783813813 5079518.391728662 +4609 2013 -69.15 60.960499999999996 377927.7750313737 6760964.873775857 +4609 2014 -73.5 53.760000000000005 304800.0 5958390.687442133 +4609 2014 -74.85 45.867000000000004 199981.87891334924 5081463.269145968 +4609 2014 -72.15 61.653 376332.89322991413 6838115.515753451 +4609 2015 -76.5 53.995 304800.0 5984544.449073666 +4609 2015 -77.85 46.232499999999995 200671.07792590704 5122084.730091778 +4609 2015 -75.15 61.75749999999999 376091.29615050694 6849758.398583927 +4609 2016 -78.925 54.34 342195.53480076825 6023094.742529878 +4609 2016 -79.7575 47.041 285231.9250245699 5211097.411062304 +4609 2016 -78.0925 61.639 379413.0617455402 6836620.268004988 +4608 2017 -74.675 45.315 212670.54414528905 5019904.034246545 +4608 2017 -74.9675 45.01349999999999 189127.58309621044 4986776.574974535 +4608 2017 -74.3825 45.6165 235972.7755545804 5053116.556020024 +4608 2018 -76.5 44.94 304800.0 4977561.476425124 +4608 2018 -77.85 43.761 196095.23408615243 4847452.23384974 +4608 2018 -75.15 46.119 409143.39952444297 5109470.138009823 +4608 2019 -79.495 44.795 305195.6094941829 4961449.500818744 +4608 2019 -80.8495 42.5135 193903.38767093729 4708872.95543081 +4608 2019 -78.14049999999999 47.076499999999996 408042.6273555514 5215908.426183349 +4608 2020 -82.3 43.835 320884.4823253863 4854806.936800196 +4608 2020 -83.47 41.8865 224297.52074379657 4638807.840996753 +4608 2020 -81.13 45.783500000000004 411330.146989047 5072209.938851471 +4608 2021 -81.0 50.605000000000004 304800.0 5607364.5002996335 +4608 2021 -82.35 46.4605 201103.16509352683 5147425.782717796 +4608 2021 -79.65 54.7495 391721.20708874875 6069358.050988529 +4608 2022 -84.0 50.795 304800.0 5628498.5319415415 +4608 2022 -85.35 46.4795 201139.24709312624 5149537.580895894 +4608 2022 -82.65 55.1105 390946.2223932393 6109538.022881932 +4608 2023 -87.0 51.935 304800.0 5755317.3860620195 +4608 2023 -88.35 47.6465 203377.29638031535 5279259.352450241 +4608 2023 -85.65 56.2235 388535.24076887575 6233431.366719592 +4608 2024 -90.0 52.435 304800.0 5810947.584176097 +4608 2024 -91.35 48.4165 204877.2579740556 5364865.150797635 +4608 2024 -88.65 56.4535 388033.00060203194 6259036.4505017465 +4608 2025 -93.0 51.63 304800.0 5721385.323461537 +4608 2025 -94.35 48.417 204878.23791363457 5364920.742557531 +4608 2025 -91.65 54.843 391520.8173358601 6079764.554609955 +4608 2026 -94.83 50.965 386986.40777427686 5648060.372518874 +4608 2026 -95.127 48.9175 368779.73109343176 5420059.189522774 +4608 2026 -94.533 53.0125 403252.4708007841 5876213.266574059 +4608 2027 -92.58 52.115 528760.2041967438 5773694.12477007 +4608 2027 -94.902 48.438500000000005 359324.4584081748 5366567.993567605 +4608 2027 -90.258 55.7915 671914.2198365786 6186063.277210205 +4608 2028 -87.0 51.504999999999995 500000.0000000009 5705766.842996875 +4608 2028 -89.7 46.649499999999996 293390.44010320306 5169538.375556644 +4608 2028 -84.3 56.3605 666804.5461502231 6249263.079070621 +4608 2029 -81.0 48.519999999999996 500000.0 5373879.716751074 +4608 2029 -83.7 42.355000000000004 277625.6634909289 4692510.00420456 +4608 2029 -78.3 54.684999999999995 674050.3648086437 6062871.130675041 +4608 2030 -76.175 44.94 407292.66804562527 4976739.579814981 +4608 2030 -77.8175 43.761 273194.0510148079 4848970.902475055 +4608 2030 -74.5325 46.119 536123.0021198352 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-290738.6203466875 9451579.418015448 -30.000000000000075 85.00000000000001 +4326 990002 140.7 0.0 0.0 0.0 +990002 4326 0.0 0.0 140.7 0.0 +4326 990002 100.0 -30.0 -3387194.248597037 -2967586.9560760143 +990002 4326 -3387194.248597037 -2967586.9560760143 100.00000000000024 -29.999999999999897 +4326 990002 180.0 40.0 2883394.56992346 3776151.72097431 +990002 4326 2883394.56992346 3776151.72097431 180.00000000000014 40.000000000000085 +4326 990002 120.0 60.0 -1032087.2013849812 4990147.993494502 +990002 4326 -1032087.2013849812 4990147.993494502 119.99999999999984 60.00000000000017 +4326 990002 160.0 -60.0 965738.5250308937 -4993764.960130982 +990002 4326 965738.5250308937 -4993764.960130982 160.00000000000003 -60.00000000000002 +4326 990002 90.0 10.0 -4531346.128834804 1022582.1512465203 +990002 4326 -4531346.128834804 1022582.1512465203 90.00000000000013 9.999999999999984 +4326 990002 -160.0 20.0 4691144.124881785 1964818.4349137617 +990002 4326 4691144.124881785 1964818.4349137617 -160.00000000000048 19.99999999999991 +4326 990002 130.0 35.0 -938411.8832896658 3503714.8962962744 +990002 4326 -938411.8832896658 3503714.8962962744 130.0 35.00000000000003 +4326 990002 150.0 -10.0 1009858.5361766182 -1094000.7360021363 +990002 4326 1009858.5361766182 -1094000.7360021363 150.00000000000003 -10.000000000000018 +4326 990002 110.0 -50.0 -1940833.4956464563 -4474463.517605711 +990002 4326 -1940833.4956464563 -4474463.517605711 110.00000000000026 -49.99999999999979 diff --git a/nodedb-crs/tests/fixtures/proj_reference_malaysia.tsv b/nodedb-crs/tests/fixtures/proj_reference_malaysia.tsv new file mode 100644 index 000000000..0281ba1ed --- /dev/null +++ b/nodedb-crs/tests/fixtures/proj_reference_malaysia.tsv @@ -0,0 +1,483 @@ +# EPSG v12.029 PROJ 9.8.1 pyproj 3.8.0 +# Built from official EPSG codes with only_best=True. One op line per operation PROJ used. +# tol_m empty: the epsg.tsv strings reproduce the row within 0.001 m projected or 1e-09 degrees geographic. +# tol_m set: PROJ used another operation than the epsg.tsv Helmert. +# tol_m is that Helmert's accuracy, metres, against max(|dlon|, |dlat|) * 111320. +# op 4742 4326: GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=noop ellps=GRS80 +# op 4245 4326: Kertau 1968 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=push v_3 step proj=cart ellps=evrst48 step proj=helmert x=-11 y=851 z=5 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4298 4326: Timbalai 1948 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-679 y=669 z=-48 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4298 4326: Timbalai 1948 to WGS 84 (5) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-689.5937 y=623.84046 z=-65.93566 rx=0.02331 ry=-1.17094 rz=0.80054 s=5.88536 convention=coordinate_frame step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3375: Peninsular RSO (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc no_uoff lat_0=4 lonc=102.25 alpha=323.025796466667 gamma=323.130102361111 k=0.99984 x_0=804671 y_0=0 ellps=GRS80 +# op 3375 4326: Inverse of Peninsular RSO + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=omerc no_uoff lat_0=4 lonc=102.25 alpha=323.025796466667 gamma=323.130102361111 k=0.99984 x_0=804671 y_0=0 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3376: Borneo RSO (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc no_uoff lat_0=4 lonc=115 alpha=53.31580995 gamma=53.1301023611111 k=0.99984 x_0=0 y_0=0 ellps=GRS80 +# op 3376 4326: Inverse of Borneo RSO + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=omerc no_uoff lat_0=4 lonc=115 alpha=53.31580995 gamma=53.1301023611111 k=0.99984 x_0=0 y_0=0 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4751 3168: Rectified Skew Orthomorphic Malaya Grid (metre) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc no_uoff lat_0=4 lonc=102.25 alpha=323.0257905 gamma=323.130102361111 k=0.99984 x_0=804670.24 y_0=0 ellps=evrst69 +# op 3168 4326: Inverse of Rectified Skew Orthomorphic Malaya Grid (metre) + Kertau (RSO) to Kertau 1968 (1) + Kertau 1968 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=omerc no_uoff lat_0=4 lonc=102.25 alpha=323.0257905 gamma=323.130102361111 k=0.99984 x_0=804670.24 y_0=0 ellps=evrst69 step proj=push v_3 step proj=cart ellps=evrst69 step proj=helmert x=-11 y=851 z=5 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4751 3167: Rectified Skew Orthomorphic Malaya Grid (chain) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc no_uoff lat_0=4 lonc=102.25 alpha=323.0257905 gamma=323.130102361111 k=0.99984 x_0=804670.24 y_0=0 ellps=evrst69 step proj=unitconvert xy_in=m xy_out=20.116756 +# op 3167 4326: Inverse of Rectified Skew Orthomorphic Malaya Grid (chain) + Kertau (RSO) to Kertau 1968 (1) + Kertau 1968 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=20.116756 xy_out=m step inv proj=omerc no_uoff lat_0=4 lonc=102.25 alpha=323.0257905 gamma=323.130102361111 k=0.99984 x_0=804670.24 y_0=0 ellps=evrst69 step proj=push v_3 step proj=cart ellps=evrst69 step proj=helmert x=-11 y=851 z=5 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3380: Selangor Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=3.68464905 lon_0=101.389107913889 x_0=-34836.161 y_0=56464.049 ellps=GRS80 +# op 3380 4326: Inverse of Selangor Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=3.68464905 lon_0=101.389107913889 x_0=-34836.161 y_0=56464.049 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4298 29871: Rectified Skew Orthomorphic Borneo Grid (chain) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.87146304 y_0=442857.653094361 ellps=evrstSS step proj=unitconvert xy_in=m xy_out=20.1167651215526 +# op 29871 4326: Inverse of Rectified Skew Orthomorphic Borneo Grid (chain) + Timbalai 1948 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=20.1167651215526 xy_out=m step inv proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.87146304 y_0=442857.653094361 ellps=evrstSS step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-679 y=669 z=-48 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 29871 4326: Inverse of Rectified Skew Orthomorphic Borneo Grid (chain) + Timbalai 1948 to WGS 84 (5) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=20.1167651215526 xy_out=m step inv proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.87146304 y_0=442857.653094361 ellps=evrstSS step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-689.5937 y=623.84046 z=-65.93566 rx=0.02331 ry=-1.17094 rz=0.80054 s=5.88536 convention=coordinate_frame step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4298 29872: Rectified Skew Orthomorphic Borneo Grid (foot) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.872743198 y_0=442857.654557398 ellps=evrstSS step proj=unitconvert xy_in=m xy_out=0.304799471538676 +# op 29872 4326: Inverse of Rectified Skew Orthomorphic Borneo Grid (foot) + Timbalai 1948 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=0.304799471538676 xy_out=m step inv proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.872743198 y_0=442857.654557398 ellps=evrstSS step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-679 y=669 z=-48 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 29872 4326: Inverse of Rectified Skew Orthomorphic Borneo Grid (foot) + Timbalai 1948 to WGS 84 (5) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=0.304799471538676 xy_out=m step inv proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.872743198 y_0=442857.654557398 ellps=evrstSS step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-689.5937 y=623.84046 z=-65.93566 rx=0.02331 ry=-1.17094 rz=0.80054 s=5.88536 convention=coordinate_frame step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4298 29873: Rectified Skew Orthomorphic Borneo Grid (metre) (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.87 y_0=442857.65 ellps=evrstSS +# op 29873 4326: Inverse of Rectified Skew Orthomorphic Borneo Grid (metre) + Timbalai 1948 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.87 y_0=442857.65 ellps=evrstSS step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-679 y=669 z=-48 step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 29873 4326: Inverse of Rectified Skew Orthomorphic Borneo Grid (metre) + Timbalai 1948 to WGS 84 (5) (with axis order normalized for visualization) | proj=pipeline step inv proj=omerc lat_0=4 lonc=115 alpha=53.3158204722222 gamma=53.1301023611111 k=0.99984 x_0=590476.87 y_0=442857.65 ellps=evrstSS step proj=push v_3 step proj=cart ellps=evrstSS step proj=helmert x=-689.5937 y=623.84046 z=-65.93566 rx=0.02331 ry=-1.17094 rz=0.80054 s=5.88536 convention=coordinate_frame step inv proj=cart ellps=WGS84 step proj=pop v_3 step proj=unitconvert xy_in=rad xy_out=deg +# op 4326 32647: UTM zone 47N (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=utm zone=47 ellps=WGS84 +# op 4326 32648: UTM zone 48N (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=utm zone=48 ellps=WGS84 +# op 4326 32649: UTM zone 49N (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=utm zone=49 ellps=WGS84 +# op 4326 32650: UTM zone 50N (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=utm zone=50 ellps=WGS84 +# op 4742 3377: Johor Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=2.12167974444444 lon_0=103.427936236111 x_0=-14810.562 y_0=8758.32 ellps=GRS80 +# op 3377 4326: Inverse of Johor Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=2.12167974444444 lon_0=103.427936236111 x_0=-14810.562 y_0=8758.32 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3378: Sembilan and Melaka Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=2.68234763611111 lon_0=101.974905041667 x_0=3673.785 y_0=-4240.573 ellps=GRS80 +# op 3378 4326: Inverse of Sembilan and Melaka Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=2.68234763611111 lon_0=101.974905041667 x_0=3673.785 y_0=-4240.573 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3379: Pahang Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=3.76938808888889 lon_0=102.368298983333 x_0=-7368.228 y_0=6485.858 ellps=GRS80 +# op 3379 4326: Inverse of Pahang Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=3.76938808888889 lon_0=102.368298983333 x_0=-7368.228 y_0=6485.858 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3380: Selangor Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=3.68464905 lon_0=101.389107913889 x_0=-34836.161 y_0=56464.049 ellps=GRS80 +# op 3380 4326: Inverse of Selangor Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=3.68464905 lon_0=101.389107913889 x_0=-34836.161 y_0=56464.049 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3381: Terengganu Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=4.9762852 lon_0=103.070275625 x_0=19594.245 y_0=3371.895 ellps=GRS80 +# op 3381 4326: Inverse of Terengganu Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=4.9762852 lon_0=103.070275625 x_0=19594.245 y_0=3371.895 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3382: Pinang Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=5.42151754166667 lon_0=100.344376963889 x_0=-23.414 y_0=62.283 ellps=GRS80 +# op 3382 4326: Inverse of Pinang Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=5.42151754166667 lon_0=100.344376963889 x_0=-23.414 y_0=62.283 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3383: Kedah and Perlis Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=5.96467271388889 lon_0=100.636371111111 x_0=0 y_0=0 ellps=GRS80 +# op 3383 4326: Inverse of Kedah and Perlis Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=5.96467271388889 lon_0=100.636371111111 x_0=0 y_0=0 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3384: Perak Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=4.85906302222222 lon_0=100.815410586111 x_0=-1.769 y_0=133454.779 ellps=GRS80 +# op 3384 4326: Inverse of Perak Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=4.85906302222222 lon_0=100.815410586111 x_0=-1.769 y_0=133454.779 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4742 3385: Kelantan Grid (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cass lat_0=5.97254365833333 lon_0=102.295241669444 x_0=13227.851 y_0=8739.894 ellps=GRS80 +# op 3385 4326: Inverse of Kelantan Grid + GDM2000 to WGS 84 (1) (with axis order normalized for visualization) | proj=pipeline step inv proj=cass lat_0=5.97254365833333 lon_0=102.295241669444 x_0=13227.851 y_0=8739.894 ellps=GRS80 step proj=unitconvert xy_in=rad xy_out=deg +# op 4326 3857: Popular Visualisation Pseudo-Mercator (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=webmerc lat_0=0 lon_0=0 x_0=0 y_0=0 ellps=WGS84 +# op 4326 6933: US NSIDC EASE-Grid 2.0 Global (with axis order normalized for visualization) | proj=pipeline step proj=unitconvert xy_in=deg xy_out=rad step proj=cea lat_ts=30 lon_0=0 x_0=0 y_0=0 ellps=WGS84 +src dst x_in y_in x_out y_out tol_m +4742 4326 100.39625 3.975 100.39625 3.975 +4742 4326 101.49875 2.101457 101.49875 2.101457 +4742 4326 102.60125 5.132913 102.60125 5.132913 +4742 4326 103.70375 3.25937 103.70375 3.25937 +4742 4326 110.8 2.95 110.8 2.95 +4742 4326 112.6 1.540545 112.6 1.540545 +4742 4326 114.4 3.821091 114.4 3.821091 +4742 4326 116.18 5.7 116.18 5.7 +4742 4326 117.35 4.599938 117.35 4.599938 +4742 4326 118.52 6.379876 118.52 6.379876 +4245 4326 100.0655 3.975 100.06425824060575 3.9747475931519864 +4245 4326 100.5065 2.101457 100.5052023103922 2.1013453723718643 +4245 4326 100.9475 5.132913 100.94613980572743 5.1325754001038035 +4245 4326 101.3885 3.25937 101.38708507689846 3.2591730220785298 +4245 4326 101.8295 6.290827 101.82802071276089 6.290405002367701 +4245 4326 102.2705 4.417284 102.26896733586337 4.417002515446903 +4245 4326 102.7115 2.54374 102.70991269219815 2.543597807638683 +4245 4326 103.1525 5.575197 103.15084896983628 5.574831915540324 +4245 4326 103.5935 3.701654 103.59179577508374 3.701427985528418 +4245 4326 104.0345 1.82811 104.03274109712923 1.828021807729627 +4298 4326 110.44 2.95 110.44362151938917 2.949334550559947 +4298 4326 111.52 1.540545 111.52347106115936 1.5399881773372803 +4298 4326 112.6 3.821091 112.6033289954606 3.820348587055938 +4298 4326 113.68 2.411636 113.6831750885962 2.4110045847991226 +4298 4326 114.76 4.692182 114.76304244482851 4.691355995777432 19 +4298 4326 115.946 5.7 115.94886943189263 5.6990882296488845 +4298 4326 116.648 4.599938 116.65076506504143 4.599115518658288 +4298 4326 117.35 6.379876 117.35267312773075 6.378899777300668 +4298 4326 118.052 5.279814 118.05456757152426 5.2789281820337095 +4298 4326 118.754 7.059752 118.75647507332732 7.058710317535029 +4742 3375 100.0655 3.975 230230.7501121316 440481.36658161355 +3375 4326 230230.7501121316 440481.36658161355 100.0655 3.974999999999985 +4742 3375 100.5065 2.101457 278437.91456122114 232998.53787839765 +3375 4326 278437.91456122114 232998.53787839765 100.50650000000002 2.101457 +4742 3375 100.9475 5.132913 328659.6300119151 568106.3396916882 +3375 4326 328659.6300119151 568106.3396916882 100.9475 5.132912999999996 +4742 3375 101.3885 3.25937 376940.72017708037 360785.08950641454 +3375 4326 376940.72017708037 360785.08950641454 101.38850000000001 3.25936999999999 +4742 3375 101.8295 6.290827 426726.6577501332 695848.190900173 +3375 4326 426726.6577501332 695848.190900173 101.8295 6.2908269999999975 +4742 3375 102.2705 4.417284 475189.1927986404 488586.0773852139 +3375 4326 475189.1927986404 488586.0773852139 102.2705 4.4172840000000075 +4742 3375 102.7115 2.54374 523864.76810046035 281368.92721240415 +3375 4326 523864.76810046035 281368.92721240415 102.7115 2.543739999999998 +4742 3375 103.1525 5.575197 573141.2927076708 616525.1385258684 +3375 4326 573141.2927076708 616525.1385258684 103.1525 5.575196999999996 +4742 3375 103.5935 3.701654 621999.3868562107 409307.44915561675 +3375 4326 621999.3868562107 409307.44915561675 103.5935 3.7016539999999956 +4742 3375 104.0345 1.82811 670953.6140483341 202142.64473772547 +3375 4326 670953.6140483341 202142.64473772547 104.0345 1.8281099999999963 +4742 3376 110.44 2.95 83957.57468756929 326213.98642374465 +3376 4326 83957.57468756929 326213.98642374465 110.44 2.949999999999999 +4742 3376 111.52 1.540545 204101.08963759968 170363.31415304885 +3376 4326 204101.08963759968 170363.31415304885 111.52 1.5405450000000096 +4742 3376 112.6 3.821091 324031.1919567574 422592.91561689647 +3376 4326 324031.1919567574 422592.91561689647 112.6 3.8210909999999947 +4742 3376 113.68 2.411636 444272.90524017345 266913.6850285858 +3376 4326 444272.90524017345 266913.6850285858 113.68000000000002 2.411635999999998 +4742 3376 114.76 4.692182 563649.040369081 519340.0702826514 +3376 4326 563649.040369081 519340.0702826514 114.76 4.692182000000007 +4742 3376 115.946 5.7 694717.4377039279 631256.8181033176 +3376 4326 694717.4377039279 631256.8181033176 115.946 5.700000000000011 +4742 3376 116.648 4.599938 773145.5019824354 510015.2914989058 +3376 4326 773145.5019824354 510015.2914989058 116.648 4.599937999999988 +4742 3376 117.35 6.379876 849714.7164101849 707292.4174103282 +3376 4326 849714.7164101849 707292.4174103282 117.35000000000001 6.379875999999991 +4742 3376 118.052 5.279814 928338.6865779057 586231.6859419111 +3376 4326 928338.6865779057 586231.6859419111 118.052 5.279813999999993 +4742 3376 118.754 7.059752 1004310.7786909621 783710.2924517829 +3376 4326 1004310.7786909621 783710.2924517829 118.754 7.059752000000001 +4751 3168 100.0655 3.975 230287.07313047396 440448.09783019935 +3168 4326 230287.07313047396 440448.09783019935 100.06425823897055 3.9747476276837546 +4751 3168 100.5065 2.101457 278487.8089015883 232980.8927576611 +3168 4326 278487.8089015883 232980.8927576611 100.50520230868335 2.101345390699759 +4751 3168 100.9475 5.132913 328702.9927894074 568063.4432018951 +3168 4326 328702.9927894074 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13920.823392990731 3905.2171412172493 +3385 4326 13920.823392990731 3905.2171412172493 102.3015 5.928825 +4742 3385 102.4221 5.327228 27289.064911934787 -62620.92504563507 +3385 4326 27289.064911934787 -62620.92504563507 102.4221 5.3272280000000025 +4742 3385 102.5427 4.725632 40681.76727339565 -129143.66208139047 +3385 4326 40681.76727339565 -129143.66208139047 102.5427 4.725632000000026 +4326 3857 100.39625 3.975 11176059.42755419 442850.3690855275 +4326 3857 101.49875 2.101457 11298789.166153776 233985.58968988806 +4326 3857 102.60125 5.132913 11421518.904753359 572159.1030294127 +4326 3857 103.70375 3.25937 11544248.643352944 363027.2603552046 +4326 3857 110.8 2.95 12334199.579894712 328537.68516110635 +4326 3857 112.6 1.540545 12534574.663322603 171513.35189294594 +4326 3857 114.4 3.821091 12734949.746750496 425677.56478547823 +4326 3857 116.18 5.7 12933098.440362522 635570.339317789 +4326 3857 117.35 4.599938 13063342.244590653 512613.7299510645 +4326 3857 118.52 6.379876 13193586.048818784 711676.7257708234 +4326 6933 100.39625 3.975 9686860.71363907 506707.99316558754 +4326 6933 101.49875 2.101457 9793236.837615684 268031.2859341505 +4326 6933 102.60125 5.132913 9899612.961592294 653970.4038583545 +4326 6933 103.70375 3.25937 10005989.085568909 415590.31534376176 +4326 6933 110.8 2.95 10690679.851799333 376179.3942345135 +4326 6933 112.6 1.540545 10864355.156250946 196509.34640428936 +4326 6933 114.4 3.821091 11038030.46070256 487117.5323631399 +4326 6933 116.18 5.7 11209776.039549157 726000.8350074961 +4326 6933 117.35 4.599938 11322664.987442706 586215.8439725466 +4326 6933 118.52 6.379876 11435553.935336255 812265.66756127 diff --git a/nodedb-crs/tests/gdm2020.rs b/nodedb-crs/tests/gdm2020.rs new file mode 100644 index 000000000..f0b251598 --- /dev/null +++ b/nodedb-crs/tests/gdm2020.rs @@ -0,0 +1,95 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! GDM2020 (EPSG:12287) and its state Cassini grids (EPSG:25314 to 25322) +//! against the JUPEM worked example. +//! +//! Source: JUPEM, "Technical Guide to the Coordinate Conversion, Datum +//! Transformation and Map Projection", circular KPUP 3/2021 (Lampiran A), +//! §4.6 test example (i), "GDM2020 to Geocentric Cassini (GDM2020)", +//! Kedah/Perlis. + +use nodedb_crs::{CrsContext, CrsKind, DatumShift, Srid}; + +/// Degrees from degrees, minutes and seconds. +fn dms(d: f64, m: f64, s: f64) -> f64 { + d + m / 60.0 + s / 3600.0 +} + +/// Latitude of the worked-example point, N 6° 08′ 22.98682″. +fn example_lat() -> f64 { + dms(6.0, 8.0, 22.986_82) +} + +/// Longitude of the worked-example point, E 100° 23′ 6.56827″. +fn example_lon() -> f64 { + dms(100.0, 23.0, 6.568_27) +} + +/// Northing the guide prints, metres. +const JUPEM_NORTHING_M: f64 = 19_364.381; + +/// Easting from PROJ 9.8.1 `+proj=cass` with the EPSG 12320 origin on +/// GRS 1980, metres. The guide prints −27805.019 m, exactly 1.000 m off +/// this value: its GDM2000 (Rev 2009) and GDM2000 examples on the same page +/// agree with PROJ to the millimetre. +const PROJ_EASTING_M: f64 = -27_806.019_141_437_544; + +/// The guide prints millimetres. +const HALF_MM: f64 = 5e-4; + +#[test] +fn kedah_perlis_grid_matches_the_jupem_example() { + let ctx = CrsContext::builtin_only(); + let gdm2020 = Srid::new(12287).unwrap(); + let kedah = Srid::new(25320).unwrap(); + let t = ctx.transformer(gdm2020, kedah).unwrap(); + let [e, n, _] = t.apply([example_lon(), example_lat(), 0.0]).unwrap(); + assert!((n - JUPEM_NORTHING_M).abs() < HALF_MM, "northing {n}"); + assert!((e - PROJ_EASTING_M).abs() < 1e-3, "easting {e}"); + let back = ctx.transformer(kedah, gdm2020).unwrap(); + let [lon, lat, _] = back.apply([e, n, 0.0]).unwrap(); + assert!((lon - example_lon()).abs() < 1e-9 && (lat - example_lat()).abs() < 1e-9); +} + +/// Each grid origin maps to (0, 0): JUPEM KPUP 3/2021 Table 7 gives the +/// GDM2020 origins with Cassini northing and easting 0.000. +#[test] +fn every_state_origin_maps_to_zero() { + let ctx = CrsContext::builtin_only(); + let gdm2020 = Srid::new(12287).unwrap(); + // (EPSG code, Table 7 latitude, longitude as degrees, minutes, seconds) + let origins = [ + (25314, (2.0, 2.0, 33.195_81), (103.0, 33.0, 39.851_96)), + (25315, (2.0, 42.0, 43.629_44), (101.0, 56.0, 22.944_46)), + (25316, (3.0, 42.0, 38.687_85), (102.0, 26.0, 4.622_19)), + (25317, (3.0, 40.0, 48.373_10), (101.0, 30.0, 24.499_70)), + (25318, (4.0, 56.0, 44.967_15), (102.0, 53.0, 37.018_99)), + (25319, (5.0, 25.0, 15.199_41), (100.0, 20.0, 40.772_28)), + (25320, (5.0, 57.0, 52.817_46), (100.0, 38.0, 10.949_96)), + (25321, (4.0, 51.0, 32.640_21), (100.0, 48.0, 55.483_63)), + (25322, (5.0, 53.0, 37.075_11), (102.0, 10.0, 32.258_23)), + ]; + for (code, lat, lon) in origins { + let grid = Srid::new(code).unwrap(); + let t = ctx.transformer(gdm2020, grid).unwrap(); + let [e, n, _] = t + .apply([dms(lon.0, lon.1, lon.2), dms(lat.0, lat.1, lat.2), 0.0]) + .unwrap(); + assert!(e.abs() < HALF_MM && n.abs() < HALF_MM, "{code}: ({e}, {n})"); + } +} + +/// EPSG transformation 12291 GDM2020 to WGS 84 (1) is a null geocentric +/// translation with an accuracy of 1 m. +#[test] +fn gdm2020_to_wgs84_is_the_one_metre_null_shift() { + let ctx = CrsContext::builtin_only(); + let def = ctx.resolve(Srid::new(12287).unwrap()).unwrap(); + assert_eq!(def.kind, CrsKind::Geographic); + assert_eq!(def.datum.epsg_code, Some(1471)); + let DatumShift::Helmert(h) = def.datum.to_wgs84 else { + panic!("expected a Helmert shift"); + }; + assert!(h.is_zero()); + assert_eq!(h.accuracy_m, Some(1.0)); +} diff --git a/nodedb-crs/tests/proj_reference.rs b/nodedb-crs/tests/proj_reference.rs new file mode 100644 index 000000000..60ae133a9 --- /dev/null +++ b/nodedb-crs/tests/proj_reference.rs @@ -0,0 +1,154 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PROJ 9.8.1 reference points, written by `scripts/gen_epsg.py`. +//! +//! `proj_reference.tsv` comes from the PROJ strings of the built-in table. +//! `proj_reference_malaysia.tsv` comes from the official EPSG definitions. +//! A Malaysian row with `tol_m` is one where PROJ picks another Helmert than +//! the built-in table. It is held to that Helmert's accuracy, in metres. + +use nodedb_crs::{CrsContext, CrsKind, Srid}; + +const GENERATED: &str = include_str!("fixtures/proj_reference.tsv"); +const MALAYSIA: &str = include_str!("fixtures/proj_reference_malaysia.tsv"); + +/// Projected tolerance, metres. +const PROJECTED_TOL_M: f64 = 1e-3; + +/// Geographic tolerance, degrees. +const GEOGRAPHIC_TOL_DEG: f64 = 1e-9; + +/// Metres per degree on the equator. The generator converts a degree error +/// to metres with the same factor before it compares it with `tol_m`. +const METRES_PER_DEGREE: f64 = 111_320.0; + +/// Degrees in a full turn of longitude. +const FULL_TURN_DEG: f64 = 360.0; + +/// Number of failing rows the assertion message lists. +const SHOWN: usize = 20; + +/// One fixture row. +struct Row { + line: usize, + src: u32, + dst: u32, + input: [f64; 2], + expected: [f64; 2], + tol_m: Option, +} + +/// The data rows of a fixture. A data row starts with a digit. +fn rows(name: &str, text: &str) -> Vec { + text.lines() + .enumerate() + .filter(|(_, l)| l.as_bytes().first().is_some_and(u8::is_ascii_digit)) + .map(|(i, l)| { + let f: Vec<&str> = l.split('\t').collect(); + let num = |k: usize| -> f64 { + f.get(k) + .and_then(|v| v.parse().ok()) + .unwrap_or_else(|| panic!("{name}:{}: bad column {k}: {l}", i + 1)) + }; + let code = |k: usize| -> u32 { + f.get(k) + .and_then(|v| v.parse().ok()) + .unwrap_or_else(|| panic!("{name}:{}: bad code column {k}: {l}", i + 1)) + }; + Row { + line: i + 1, + src: code(0), + dst: code(1), + input: [num(2), num(3)], + expected: [num(4), num(5)], + tol_m: f.get(6).filter(|v| !v.is_empty()).map(|_| num(6)), + } + }) + .collect() +} + +/// Transform one row and compare it with the PROJ output. +fn check_row(ctx: &CrsContext<'_>, row: &Row) -> Result<(), String> { + let srid = |code: u32| Srid::new(code).map_err(|e| e.to_string()); + let (src, dst) = (srid(row.src)?, srid(row.dst)?); + let transformer = ctx.transformer(src, dst).map_err(|e| e.to_string())?; + let target = ctx.resolve(dst).map_err(|e| e.to_string())?; + let [x, y] = row.input; + let got = transformer.apply([x, y, 0.0]).map_err(|e| e.to_string())?; + let dy = (got[1] - row.expected[1]).abs(); + let (error_m, tol_m) = match target.kind { + CrsKind::Geographic => { + // ±180° name one meridian. + let dx = (got[0] - row.expected[0] + FULL_TURN_DEG / 2.0).rem_euclid(FULL_TURN_DEG) + - FULL_TURN_DEG / 2.0; + let error_deg = dx.abs().max(dy); + match row.tol_m { + Some(tol) => (error_deg * METRES_PER_DEGREE, tol), + None if error_deg <= GEOGRAPHIC_TOL_DEG => return Ok(()), + None => ( + error_deg * METRES_PER_DEGREE, + GEOGRAPHIC_TOL_DEG * METRES_PER_DEGREE, + ), + } + } + CrsKind::Projected => { + let dx = (got[0] - row.expected[0]).abs(); + let error_m = dx.max(dy) * target.unit.metres_per_unit; + (error_m, row.tol_m.unwrap_or(PROJECTED_TOL_M)) + } + }; + if error_m <= tol_m { + Ok(()) + } else { + Err(format!( + "got ({}, {}), off by {error_m:e} m, tolerance {tol_m:e} m", + got[0], got[1] + )) + } +} + +/// Check every row of a fixture and report all failures at once. +fn check_fixture(name: &str, text: &str) { + let ctx = CrsContext::builtin_only(); + let rows = rows(name, text); + assert!(!rows.is_empty(), "{name} has no data rows"); + let failures: Vec = rows + .iter() + .filter_map(|row| { + check_row(&ctx, row).err().map(|why| { + format!( + "{name}:{} {} -> {} in ({}, {}) expected ({}, {}): {why}", + row.line, + row.src, + row.dst, + row.input[0], + row.input[1], + row.expected[0], + row.expected[1] + ) + }) + }) + .collect(); + assert!( + failures.is_empty(), + "{} of {} rows fail, first {SHOWN}:\n{}", + failures.len(), + rows.len(), + failures + .iter() + .take(SHOWN) + .cloned() + .collect::>() + .join("\n") + ); +} + +#[test] +fn built_in_table_matches_proj() { + check_fixture("proj_reference.tsv", GENERATED); +} + +#[test] +fn malaysia_matches_official_epsg() { + check_fixture("proj_reference_malaysia.tsv", MALAYSIA); +} diff --git a/nodedb-graph/src/csr/index/mutation.rs b/nodedb-graph/src/csr/index/mutation.rs index 6a1599036..11d2cc458 100644 --- a/nodedb-graph/src/csr/index/mutation.rs +++ b/nodedb-graph/src/csr/index/mutation.rs @@ -47,6 +47,20 @@ impl CsrIndex { self.add_edge_internal(src, label, dst, collection, weight, weight != 1.0) } + /// Add a stored edge record scoped to `collection`. Its weight is the + /// `weight` key of the msgpack `properties`, `1.0` when absent. + pub fn insert_record_edge( + &mut self, + src: &str, + label: &str, + dst: &str, + collection: &str, + properties: &[u8], + ) -> Result<(), crate::GraphError> { + let weight = crate::csr::weights::extract_weight_from_properties(properties); + self.add_edge_weighted_in_collection(src, label, dst, collection, weight) + } + /// Incrementally add a weighted edge (goes into mutable buffer). /// /// If this is the first weighted edge (weight != 1.0), initializes diff --git a/nodedb-graph/src/csr/index/restore.rs b/nodedb-graph/src/csr/index/restore.rs index 5d9e03878..31d58a88d 100644 --- a/nodedb-graph/src/csr/index/restore.rs +++ b/nodedb-graph/src/csr/index/restore.rs @@ -193,6 +193,12 @@ impl CsrIndex { self.node_label_to_id.contains_key(label) } + /// How many distinct node label names are interned. Each holds one bit + /// of the label bitset until it is withdrawn. + pub fn node_label_name_count(&self) -> usize { + self.node_label_names.len() + } + /// Withdraw `node`, which a rolled-back write interned. /// /// An absent node is a no-op. The node must be the newest one, with no diff --git a/nodedb-physical/Cargo.toml b/nodedb-physical/Cargo.toml index d8c360e7f..988659859 100644 --- a/nodedb-physical/Cargo.toml +++ b/nodedb-physical/Cargo.toml @@ -13,6 +13,7 @@ documentation = "https://docs.rs/nodedb-physical" [dependencies] nodedb-array = { workspace = true } +nodedb-crs = { workspace = true } nodedb-graph = { workspace = true } nodedb-query = { workspace = true } nodedb-sql = { workspace = true } diff --git a/nodedb-physical/src/physical_plan/array.rs b/nodedb-physical/src/physical_plan/array.rs index 194aa325f..786d46673 100644 --- a/nodedb-physical/src/physical_plan/array.rs +++ b/nodedb-physical/src/physical_plan/array.rs @@ -15,26 +15,67 @@ use nodedb_array::types::ArrayId; use nodedb_types::sync::wire::SyncProvenance; use nodedb_types::{ShardBucket, SurrogateBitmap, SystemTimeScope}; -/// Reducer for [`ArrayOp::Aggregate`]. Numeric `c_enum` keeps the -/// wire encoding to a single byte. +/// Reducer for [`ArrayOp::Aggregate`]. Mirrors +/// `nodedb_array::query::aggregate::Reducer`. #[derive( Debug, Clone, Copy, PartialEq, - Eq, serde::Serialize, serde::Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, )] -#[msgpack(c_enum)] pub enum ArrayReducer { Sum, Count, Min, Max, Mean, + Median, + /// Exact percentile `p`, `0 <= p <= 1`. + Percentile { + p: f64, + }, + StdDevPop, + StdDevSamp, + VarPop, + VarSamp, + Mode, + /// Fixed-width bin counts over `[lo, hi]`. + Histogram { + bins: u32, + lo: f64, + hi: f64, + }, +} + +impl ArrayReducer { + /// The engine reducer. A histogram's bins and range are checked. + pub fn engine( + self, + ) -> Result + { + use nodedb_array::query::aggregate::Reducer; + Ok(match self { + ArrayReducer::Sum => Reducer::Sum, + ArrayReducer::Count => Reducer::Count, + ArrayReducer::Min => Reducer::Min, + ArrayReducer::Max => Reducer::Max, + ArrayReducer::Mean => Reducer::Mean, + ArrayReducer::Median => Reducer::Median, + ArrayReducer::Percentile { p } => Reducer::Percentile(p), + ArrayReducer::StdDevPop => Reducer::StdDevPop, + ArrayReducer::StdDevSamp => Reducer::StdDevSamp, + ArrayReducer::VarPop => Reducer::VarPop, + ArrayReducer::VarSamp => Reducer::VarSamp, + ArrayReducer::Mode => Reducer::Mode, + ArrayReducer::Histogram { bins, lo, hi } => { + Reducer::Histogram(nodedb_types::array_agg::HistogramSpec::new(bins, lo, hi)?) + } + }) + } } /// Pairwise op for [`ArrayOp::Elementwise`]. @@ -170,6 +211,9 @@ pub enum ArrayOp { /// zerompk-encoded `nodedb_array::query::PolygonZone`. Only cells /// inside it are returned. Empty = no zone. zone_msgpack: Vec, + /// Read attrs physically: a nodata cell as NULL, and a cell of an + /// attr with a scale or offset as `raw * scale + offset`. + physical: bool, }, /// Reduce one attribute column. `group_by_dim < 0` means no @@ -193,10 +237,12 @@ pub enum ArrayOp { /// to this bucket contribute, so vShards that share one Data Plane /// count no cell twice. `None` includes every cell. shard_bucket: Option, - /// Bitemporal system-time cutoff. When `Some(t)`, only tile versions - /// with `system_from_ms <= t` contribute to the aggregate. `None` = - /// live read. - system_as_of: Option, + /// Bitemporal system-time scope. A point-in-time scope reads the + /// tile versions visible at its cutoff; a `Pinned` scope also names + /// the cut marker every serving node waits for. `Current` = live + /// read. `AllVersions` is refused: an aggregate over every version + /// has no meaning. + system_time: SystemTimeScope, /// Bitemporal valid-time point. When `Some(vt)`, only cells whose /// `valid_from_ms <= vt < valid_until_ms` contribute. `None` = no /// valid-time filter. @@ -204,6 +250,9 @@ pub enum ArrayOp { /// zerompk-encoded `nodedb_array::query::ArrayRegion`. Only cells /// inside it contribute. Empty = the whole array. region_msgpack: Vec, + /// Reduce physical values: `raw * scale + offset` for an attr with a + /// scale or offset. A nodata cell never contributes, either way. + physical: bool, }, /// Pairwise op between two coord-aligned arrays. Both must share @@ -222,9 +271,9 @@ pub enum ArrayOp { /// to this bucket take part on either side, so vShards that share /// one Data Plane emit no row twice. `None` includes every cell. shard_bucket: Option, - /// Bitemporal system-time cutoff for both operands. `None` = live - /// read. - system_as_of: Option, + /// Bitemporal system-time scope for both operands, as on + /// `Aggregate`. + system_time: SystemTimeScope, /// Bitemporal valid-time point for both operands. `None` = no /// valid-time filter. valid_at_ms: Option, @@ -316,9 +365,10 @@ mod tests { cell_filter: None, return_partial: false, shard_bucket: None, - system_as_of: None, + system_time: SystemTimeScope::Current, valid_at_ms: None, region_msgpack: vec![1, 2, 3], + physical: true, }; let bytes = zerompk::to_msgpack_vec(&op).unwrap(); let back: ArrayOp = zerompk::from_msgpack(&bytes).unwrap(); @@ -338,6 +388,7 @@ mod tests { system_time: SystemTimeScope::AllVersions, valid_at_ms: None, zone_msgpack: Vec::new(), + physical: false, }; let bytes = zerompk::to_msgpack_vec(&op).unwrap(); let back: ArrayOp = zerompk::from_msgpack(&bytes).unwrap(); @@ -367,6 +418,7 @@ mod tests { system_time: SystemTimeScope::AsOf(1_700_000_000_000), valid_at_ms: Some(1_600_000_000_000), zone_msgpack: vec![4, 5, 6], + physical: true, }; let bytes = zerompk::to_msgpack_vec(&op).unwrap(); let back: ArrayOp = zerompk::from_msgpack(&bytes).unwrap(); @@ -382,21 +434,32 @@ mod tests { attr_idx: 0, cell_filter: None, shard_bucket: None, - system_as_of: None, + system_time: SystemTimeScope::Current, valid_at_ms: None, }; assert_eq!(op.primary_array().name, "L"); } #[test] - fn binary_op_and_reducer_are_c_enum_one_byte() { - // c_enum encodes as a single u8 — confirm round-trip preserves identity. + fn binary_op_and_reducer_round_trip() { for r in [ ArrayReducer::Sum, ArrayReducer::Count, ArrayReducer::Min, ArrayReducer::Max, ArrayReducer::Mean, + ArrayReducer::Median, + ArrayReducer::Percentile { p: 0.9 }, + ArrayReducer::StdDevPop, + ArrayReducer::StdDevSamp, + ArrayReducer::VarPop, + ArrayReducer::VarSamp, + ArrayReducer::Mode, + ArrayReducer::Histogram { + bins: 10, + lo: 0.0, + hi: 1.0, + }, ] { let bytes = zerompk::to_msgpack_vec(&r).unwrap(); let back: ArrayReducer = zerompk::from_msgpack(&bytes).unwrap(); diff --git a/nodedb-physical/src/physical_plan/cluster_array.rs b/nodedb-physical/src/physical_plan/cluster_array.rs index 005f91849..a1fe4b6aa 100644 --- a/nodedb-physical/src/physical_plan/cluster_array.rs +++ b/nodedb-physical/src/physical_plan/cluster_array.rs @@ -62,6 +62,8 @@ pub enum ClusterArrayOp { /// zerompk-encoded `nodedb_array::query::PolygonZone`, forwarded to /// every shard. Empty = no zone. zone_msgpack: Vec, + /// Read attrs physically. See `ArrayOp::Slice::physical`. + physical: bool, }, /// Fan-out an aggregate across all target vShards and reduce partials. @@ -77,13 +79,15 @@ pub enum ClusterArrayOp { slice_tile_keys: Vec, /// Routing granularity. prefix_bits: u8, - /// Bitemporal system-time cutoff. `None` = live read. - system_as_of: Option, + /// Bitemporal system-time scope. See `ArrayOp::Aggregate::system_time`. + system_time: SystemTimeScope, /// Bitemporal valid-time point. `None` = no valid-time filter. valid_at_ms: Option, /// zerompk-encoded `nodedb_array::query::ArrayRegion`, forwarded to /// every shard. Empty = the whole array. region_msgpack: Vec, + /// Reduce physical values. See `ArrayOp::Aggregate::physical`. + physical: bool, }, /// Fan-out an elementwise op to every primary vShard and concatenate the @@ -101,9 +105,9 @@ pub enum ClusterArrayOp { attr_idx: u32, /// Routing granularity, shared by both arrays. prefix_bits: u8, - /// Bitemporal system-time cutoff for both operands. `None` = live - /// read. - system_as_of: Option, + /// Bitemporal system-time scope for both operands. See + /// `ArrayOp::Aggregate::system_time`. + system_time: SystemTimeScope, /// Bitemporal valid-time point for both operands. `None` = no /// valid-time filter. valid_at_ms: Option, diff --git a/nodedb-physical/src/physical_plan/columnar.rs b/nodedb-physical/src/physical_plan/columnar.rs index db7ef7e81..336e9be8b 100644 --- a/nodedb-physical/src/physical_plan/columnar.rs +++ b/nodedb-physical/src/physical_plan/columnar.rs @@ -47,6 +47,12 @@ pub enum ColumnarInsertIntent { /// the row with `RejectedConstraint` (SQLSTATE 23505) instead of the /// `Insert` tombstone-and-append behavior above. InsertUnique, + /// A RESTORE re-issue of backed-up rows. A bitemporal row keeps the + /// `_ts_system` ordinal its row carries, the stamp its original write + /// took, and the insert folds it into the shared clock. A duplicate PK + /// behaves as `Insert`. Only the restore path builds it: a client + /// statement never chooses its own system time. + Restore, } /// Base columnar physical operations. @@ -146,6 +152,15 @@ pub enum ColumnarOp { /// to disk. `None` for live ingest (always accepted). #[serde(default)] wal_lsn: Option, + /// System-time ordinal of the first row of a bitemporal insert. Row + /// `i` of `payload` stamps `system_from + i` in `_ts_system`. The + /// write funnel reserves the run on the node's ordinal clock right + /// before the write's WAL record, so the live apply and every replay + /// of the record stamp the same ordinals. `None` mints at apply: a + /// Calvin stage stamps its transaction's ordinal, any other apply a + /// fresh ordinal per row. + #[serde(default)] + system_from: Option, /// Compiled row-level-security WRITE predicate (`Vec` as /// MessagePack), or the reason no predicate is attached. Carried only /// for the ON CONFLICT DO UPDATE shape, whose merged post-image @@ -180,6 +195,16 @@ pub enum ColumnarOp { /// Field assignments: `(column_name, value)`. An `Expr` value /// evaluates against each matched row's pre-image. updates: Vec<(String, super::document::UpdateValue)>, + /// System-time ordinal every new version this update writes to a + /// bitemporal collection stamps in `_ts_system`, raised one above its + /// key's bound row when that row sits at or above it. The write + /// funnel fixes it right before the write's WAL record: the run the + /// applied entry's leader reserved, else an ordinal of the node's + /// clock. The live apply and every replay of the record stamp alike. + /// `None` stamps at apply: a Calvin stage its transaction's ordinal, + /// any other apply a fresh ordinal. + #[serde(default)] + system_from: Option, /// Compiled row-level-security WRITE predicate, evaluated against each /// row's post-image once the assignments have been applied, or the /// reason no predicate is attached. @@ -193,6 +218,14 @@ pub enum ColumnarOp { collection: QualifiedCollection, /// Serialized `Vec` (MessagePack). filters: Vec, + /// System-time ordinal at which a delete on a bitemporal collection + /// closes each removed key: the stamp of the tombstone version it + /// appends, raised one above the key's bound row when that row sits + /// at or above it. Fixed by the write funnel as for an update, so the + /// live apply and every replay close at the same ordinal. `None` + /// stamps at apply. A collection that is not bitemporal ignores it. + #[serde(default)] + system_from: Option, /// Compiled row-level-security WRITE predicate, evaluated against the /// pre-image of every row this removes, or the reason no predicate is /// attached. @@ -211,6 +244,16 @@ pub enum ColumnarOp { /// (primary key, full post-image) for each row the Control Plane /// resolved and the write policy admitted. rows: Vec<(nodedb_types::Value, Vec)>, + /// System-time ordinal every new version this update writes to a + /// bitemporal collection stamps in `_ts_system`, raised one above its + /// key's bound row when that row sits at or above it. The write + /// funnel fixes it right before the write's WAL record: the run the + /// applied entry's leader reserved, else an ordinal of the node's + /// clock. The live apply and every replay of the record stamp alike. + /// `None` stamps at apply: a Calvin stage its transaction's ordinal, + /// any other apply a fresh ordinal. + #[serde(default)] + system_from: Option, rls_write_check: RlsWriteCheck, }, @@ -225,6 +268,14 @@ pub enum ColumnarOp { collection: QualifiedCollection, /// Primary key of each row the write policy admitted for removal. pks: Vec, + /// System-time ordinal at which a delete on a bitemporal collection + /// closes each removed key: the stamp of the tombstone version it + /// appends, raised one above the key's bound row when that row sits + /// at or above it. Fixed by the write funnel as for an update, so the + /// live apply and every replay close at the same ordinal. `None` + /// stamps at apply. A collection that is not bitemporal ignores it. + #[serde(default)] + system_from: Option, rls_write_check: RlsWriteCheck, }, @@ -259,14 +310,27 @@ pub enum ColumnarOp { }, /// `TRUNCATE` of a columnar or spatial collection: every row, every - /// bitemporal version, every flushed segment, and every R-tree entry - /// the collection's geometry columns produced. Reports the number of - /// live rows that existed. + /// flushed segment, and every R-tree entry the collection's geometry + /// columns produced. A bitemporal collection closes every current key + /// with a tombstone version instead and keeps its history. Reports the + /// number of live rows that existed. Truncate { collection: QualifiedCollection, /// `TRUNCATE ... RESTART IDENTITY`: the Control Plane resets the /// collection's sequences after the Data Plane clears the rows. #[serde(default)] restart_identity: bool, + /// System-time ordinal at which a truncate of a bitemporal + /// collection closes every current key, raised per key above its + /// bound row, as for a delete. Fixed by the write funnel, so the live + /// apply and every replay close at the same ordinal. `None` stamps at + /// apply. A collection that is not bitemporal ignores it. + #[serde(default)] + system_from: Option, + /// Erase every row and version even on a bitemporal collection. A + /// backup restore clears this way before it reinstalls every + /// version under the system time it carries. + #[serde(default)] + erase_history: bool, }, } diff --git a/nodedb-physical/src/physical_plan/document/op.rs b/nodedb-physical/src/physical_plan/document/op.rs index d4c2716ba..12080e281 100644 --- a/nodedb-physical/src/physical_plan/document/op.rs +++ b/nodedb-physical/src/physical_plan/document/op.rs @@ -293,6 +293,13 @@ pub enum DocumentOp { /// identity under this column, else under `id`, and only when the /// row lacks that column. declared_key: Option, + /// The collection's incarnation in the catalog: the stamp of the + /// create a drop and a same-name create replace. The collection's + /// CRDT document mints its Loro operations under a peer id derived + /// from it, so a re-created collection never reuses an operation id + /// of the dropped one. `Hlc::ZERO` when the catalog holds none. + #[serde(default)] + incarnation: nodedb_types::Hlc, }, /// Lookup documents by secondary index value. @@ -321,12 +328,13 @@ pub enum DocumentOp { projection: Vec, limit: usize, offset: usize, - /// `FOR SYSTEM_TIME AS OF ` cutoff on a bitemporal collection. - /// `None` reads the current state. The versioned index answers at the - /// cutoff and each row is read at its version as of the cutoff. The - /// index holds no valid time and no history listing, so a valid-time - /// or all-versions read never plans this variant. - system_as_of_ms: Option, + /// System-time scope on a bitemporal collection: `Current` reads the + /// current state, and a point-in-time scope reads at its cut. The + /// versioned index answers at the cut and each row is read at its + /// version as of the cut. The index holds no valid time and no + /// history listing, so a valid-time or all-versions read never plans + /// this variant, and the handler refuses `AllVersions`. + system_time: nodedb_types::SystemTimeScope, }, /// Drop all secondary index entries for a field. @@ -609,14 +617,16 @@ pub enum DocumentOp { /// `value_bytes` is always MessagePack, transcoded from the source /// encoding. `next_cursor` empty = scan complete. /// - /// Honors `system_as_of_ms` (the clone's `as_of_lsn`) on bitemporal - /// collections; ignored otherwise. + /// Honors `system_time` on bitemporal collections; ignored otherwise. + /// A clone copy reads `AsOf` its `as_of_lsn`, and a paged source read + /// reads at its statement's cut. MaterializeScan { collection: QualifiedCollection, cursor: Vec, count: usize, - system_as_of_ms: Option, - // Point-in-time snapshot: `AllVersions` is rejected upstream. + /// `Current` or a point-in-time cut. The handler refuses + /// `AllVersions`. + system_time: nodedb_types::SystemTimeScope, /// Return each body as stored, transcoded to MessagePack with no /// `id` added. Every clone materializer copy reads these: a /// `HASH_CHAIN` link covers the stored contents, and a strict target diff --git a/nodedb-physical/src/physical_plan/document/row_source.rs b/nodedb-physical/src/physical_plan/document/row_source.rs index 682aa502f..cb8f991c9 100644 --- a/nodedb-physical/src/physical_plan/document/row_source.rs +++ b/nodedb-physical/src/physical_plan/document/row_source.rs @@ -47,9 +47,9 @@ pub struct DocumentPageSource { /// Serialized `Vec`: the WHERE clause, ANDed with the /// collection's read policy by the RLS pass. pub filters: Vec, - /// `FOR SYSTEM_TIME AS OF` cut, in epoch milliseconds. `None` reads the - /// current version. - pub system_as_of_ms: Option, + /// `Current`, or the `AS OF SYSTEM TIME` cut every page reads at. Never + /// `AllVersions`. + pub system_time: nodedb_types::SystemTimeScope, /// Matching rows skipped before the first row is read. pub offset: usize, /// Matching rows read after the offset. `None` reads every matching row. @@ -85,7 +85,7 @@ impl RowSource { RowSource::DocumentPages(DocumentPageSource { collection, filters: Vec::new(), - system_as_of_ms: None, + system_time: nodedb_types::SystemTimeScope::Current, offset: 0, limit: None, column_map: Vec::new(), @@ -109,6 +109,15 @@ impl RowSource { } } + /// The plan a query source runs, for an in-place rewrite. `None` for a + /// page source. + pub fn query_plan_mut(&mut self) -> Option<&mut PhysicalPlan> { + match self { + RowSource::DocumentPages(_) => None, + RowSource::Query(query) => Some(&mut query.plan), + } + } + /// A short label for logs and error messages: the paged collection, or /// the primary collection of the query plan. pub fn label(&self) -> &str { diff --git a/nodedb-physical/src/physical_plan/graph/algo_stage.rs b/nodedb-physical/src/physical_plan/graph/algo_stage.rs index bee765060..8eb03d594 100644 --- a/nodedb-physical/src/physical_plan/graph/algo_stage.rs +++ b/nodedb-physical/src/physical_plan/graph/algo_stage.rs @@ -38,10 +38,9 @@ pub enum AlgoStage { /// Run over this core's own edges. Local, /// Run nothing. Answer this core's edges of the collection, after the - /// label filter, as a msgpack array of [`AlgoEdge`]. `system_as_of_ms` - /// bounds them to the edges live at that system time; `None` answers the - /// current edges. - ExportEdges { system_as_of_ms: Option }, + /// label filter, as a msgpack array of [`AlgoEdge`], read at the `Algo` + /// plan's scope. + ExportEdges, /// Run over these edges, gathered from every core that holds the /// collection. The core reads no edges of its own. Gathered { edges: Vec }, diff --git a/nodedb-physical/src/physical_plan/graph/batch_edge.rs b/nodedb-physical/src/physical_plan/graph/batch_edge.rs index 14f2f007d..81217c6d8 100644 --- a/nodedb-physical/src/physical_plan/graph/batch_edge.rs +++ b/nodedb-physical/src/physical_plan/graph/batch_edge.rs @@ -25,4 +25,10 @@ pub struct BatchEdge { pub dst_id: String, pub src_surrogate: Surrogate, pub dst_surrogate: Surrogate, + /// Start of the edge's valid time, ms since epoch. `None` takes the + /// write's wall time. A delete ignores it. + pub valid_from_ms: Option, + /// Exclusive end of the edge's valid time. `None` leaves it open. A + /// delete ignores it. + pub valid_until_ms: Option, } diff --git a/nodedb-physical/src/physical_plan/graph/bsp.rs b/nodedb-physical/src/physical_plan/graph/bsp.rs index 58e5e4e2d..80cc893e0 100644 --- a/nodedb-physical/src/physical_plan/graph/bsp.rs +++ b/nodedb-physical/src/physical_plan/graph/bsp.rs @@ -87,13 +87,19 @@ pub struct BspSuperstepPlan { /// scheduler the node runs passed it, and reads at the marker's epoch /// instant. Every edge version sequenced before the marker is then /// installed and at or below that cut. Every version sequenced after it - /// is above the cut. The count phase answers the cut in + /// is above the cut. A historical run carries its statement's pinned + /// ordinal in `system_as_of` with the marker: each node waits for the + /// marker, folds the ordinal into its ordinal clock, and reads at the + /// ordinal unchanged. The count phase answers the cut in /// `BspSuperstepResult::system_as_of`, and every later dispatch carries /// it as `system_as_of`. pub read_cut_marker: u64, /// The system-time ordinal every core reads the graph at. The handler /// refuses a plan without one. pub system_as_of: Option, + /// The valid-time instant every edge read must contain (`AS OF VALID + /// TIME`), or `None` for every valid time. + pub valid_at_ms: Option, } /// Result of one [`super::op::GraphOp::BspSuperstep`] on a single shard. diff --git a/nodedb-physical/src/physical_plan/graph/mod.rs b/nodedb-physical/src/physical_plan/graph/mod.rs index 61c3c1a5e..596c368fa 100644 --- a/nodedb-physical/src/physical_plan/graph/mod.rs +++ b/nodedb-physical/src/physical_plan/graph/mod.rs @@ -7,6 +7,7 @@ pub mod batch_edge; pub mod bsp; pub mod op; pub mod rag_stage; +pub mod read_scope; pub mod wcc; pub use algo_stage::{AlgoEdge, AlgoStage}; @@ -14,4 +15,5 @@ pub use batch_edge::BatchEdge; pub use bsp::{BspSuperstepPlan, BspSuperstepResult}; pub use op::GraphOp; pub use rag_stage::{RagBindingRow, RagLegs, RagStage, RagTextHit, RagVectorHit}; +pub use read_scope::{ALL_VERSIONS_REFUSED, GraphReadScope, GraphSystemCut}; pub use wcc::{WccSuperstepPlan, WccSuperstepResult}; diff --git a/nodedb-physical/src/physical_plan/graph/op.rs b/nodedb-physical/src/physical_plan/graph/op.rs index 5501358c4..24d899ce8 100644 --- a/nodedb-physical/src/physical_plan/graph/op.rs +++ b/nodedb-physical/src/physical_plan/graph/op.rs @@ -3,14 +3,13 @@ //! `GraphOp`: graph engine physical operations dispatched to the Data Plane. use nodedb_graph::{AlgoParams, Direction, GraphAlgorithm, GraphTraversalOptions}; -use nodedb_types::{ - QualifiedCollection, RlsWriteCheck, Surrogate, SurrogateBitmap, SystemTimeScope, -}; +use nodedb_types::{QualifiedCollection, RlsWriteCheck, Surrogate, SurrogateBitmap}; use super::algo_stage::AlgoStage; use super::batch_edge::BatchEdge; use super::bsp::BspSuperstepPlan; use super::rag_stage::RagStage; +use super::read_scope::GraphReadScope; use super::wcc::WccSuperstepPlan; /// Graph engine physical operations. @@ -37,6 +36,11 @@ pub enum GraphOp { properties: Vec, src_surrogate: Surrogate, dst_surrogate: Surrogate, + /// Start of the edge's valid time, ms since epoch. `None` takes the + /// write's wall time. + valid_from_ms: Option, + /// Exclusive end of the edge's valid time. `None` leaves it open. + valid_until_ms: Option, }, /// Batched edge insert: many `(collection, src, label, dst)` tuples. @@ -92,6 +96,8 @@ pub enum GraphOp { /// Optional surrogate prefilter restricting which frontier nodes are /// eligible as traversal targets. `None` = no restriction. frontier_bitmap: Option, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// Immediate 1-hop neighbors lookup. @@ -104,6 +110,8 @@ pub enum GraphOp { direction: Direction, /// RLS filters applied to neighbor nodes before returning. rls_filters: Vec, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// Batched 1-hop neighbors lookup: one RPC per hop of a BFS frontier @@ -130,9 +138,11 @@ pub enum GraphOp { /// counts against `max_results`. Empty admits every edge. Non-empty /// requires `collection`. edge_predicate: Vec, - /// Each row carries the crossed edge's current property object. + /// Each row carries the crossed edge's property object at `scope`. /// Requires `collection`. with_properties: bool, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// Shortest path between two nodes. @@ -150,6 +160,8 @@ pub enum GraphOp { /// Optional surrogate prefilter restricting which nodes may appear /// on the path. `None` = no restriction. frontier_bitmap: Option, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// Materialize a subgraph as edge tuples. @@ -163,6 +175,8 @@ pub enum GraphOp { options: GraphTraversalOptions, /// RLS filters applied to subgraph nodes/edges before returning. rls_filters: Vec, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// GraphRAG fusion: vector search → graph expansion → RRF ranking. @@ -195,6 +209,8 @@ pub enum GraphOp { bm25_field: Option, /// Which part of the fusion the core runs. stage: RagStage, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// Graph algorithm execution (PageRank, WCC, SSSP, etc.). @@ -203,6 +219,10 @@ pub enum GraphOp { params: AlgoParams, /// Where the algorithm reads its graph from. stage: AlgoStage, + /// The bitemporal cut of the graph the algorithm runs over. A + /// `Local` or `ExportEdges` stage reads its edges at it. + /// `AllVersions` is refused. + scope: GraphReadScope, }, /// Graph pattern matching (MATCH clause execution). @@ -215,6 +235,8 @@ pub enum GraphOp { /// frontier candidate for Control-Plane filtering (cluster /// orchestration). `false` (default) matches non-cluster MATCH output. cluster_mode: bool, + /// The bitemporal cut the read sees. `AllVersions` is refused. + scope: GraphReadScope, }, /// Cross-shard MATCH continuation: resumes the SAME already-optimized @@ -232,6 +254,8 @@ pub enum GraphOp { source_node: String, /// The binding variable bound to `source_node`. source_binding: String, + /// The cut of the originating `Match`. + scope: GraphReadScope, }, /// Cross-shard MATCH variable-length RESUME: continues a `[*min..max]` @@ -245,6 +269,8 @@ pub enum GraphOp { /// triple index, the source bindings, and the un-expanded frontier / /// resume depth. resume: Vec, + /// The cut of the originating `Match`. + scope: GraphReadScope, }, /// One distributed-PageRank BSP superstep on this shard's local CSR. @@ -272,12 +298,13 @@ pub enum GraphOp { labels: Vec, }, - /// Bitemporal 1-hop neighbors lookup. + /// Bitemporal 1-hop neighbors lookup, read from the versioned edge + /// store rather than a CSR. /// - /// Resolves edges whose latest version with `system_from <= system_as_of_ms` - /// (converted to HLC ordinal) is not a sentinel, optionally also filtering - /// by `valid_from_ms <= valid_at_ms < valid_until_ms`. The handler calls - /// `ceiling_resolve_edge` per candidate base edge. + /// Resolves each base edge to its newest version at or below the scope's + /// system cut that is not a sentinel, and whose valid time contains + /// `scope.valid_at_ms` when one is set. The answer has one row per base + /// edge, so `GraphSystemCut::AllVersions` answers a typed `Unsupported`. TemporalNeighbors { /// Edge store is collection-scoped; current-state `Neighbors` reads /// the tenant-wide CSR, but the versioned key layout is @@ -287,29 +314,10 @@ pub enum GraphOp { node_id: String, edge_label: Option, direction: Direction, - /// System-time selection. `Current` falls back to current-state - /// semantics identical to `Neighbors`; `AsOf(ms)` is point-in-time. - /// `AllVersions` returns a typed NotSupported error on graph. - system_time: SystemTimeScope, - /// Optional valid-time point. Skipped when `None`. - valid_at_ms: Option, + scope: GraphReadScope, rls_filters: Vec, }, - /// Bitemporal graph algorithm execution. - /// - /// Identical to `Algo` but builds its CSR snapshot via - /// `CsrSnapshot::from_edge_store_as_of` at the given system-time cutoff - /// before running the algorithm. - TemporalAlgorithm { - algorithm: GraphAlgorithm, - params: AlgoParams, - /// System-time selection. `Current` means current state (equivalent to - /// plain `Algo`); `AsOf(ms)` builds a snapshot at that cutoff. - /// `AllVersions` returns a typed NotSupported error on graph. - system_time: SystemTimeScope, - }, - /// Read persistent graph-stats counters from the edge store. /// /// `collection = Some` returns stats for one `(tenant, collection)` pair. @@ -380,3 +388,38 @@ pub enum GraphOp { ids: Vec, }, } + +impl GraphOp { + /// The bitemporal scope a graph read op reads at. `None` for a write, a + /// guard, a stats read, or a superstep: a superstep carries its own cut + /// marker in its plan. + pub fn read_scope(&self) -> Option<&GraphReadScope> { + match self { + GraphOp::Hop { scope, .. } + | GraphOp::Neighbors { scope, .. } + | GraphOp::NeighborsMulti { scope, .. } + | GraphOp::Path { scope, .. } + | GraphOp::Subgraph { scope, .. } + | GraphOp::RagFusion { scope, .. } + | GraphOp::Algo { scope, .. } + | GraphOp::Match { scope, .. } + | GraphOp::MatchContinuation { scope, .. } + | GraphOp::MatchVarLenResume { scope, .. } + | GraphOp::TemporalNeighbors { scope, .. } => Some(scope), + GraphOp::EdgePut { .. } + | GraphOp::EdgePutBatch { .. } + | GraphOp::EdgeDelete { .. } + | GraphOp::ResolveEdgeDelete(_) + | GraphOp::EdgeDeleteBatch { .. } + | GraphOp::BspSuperstep(_) + | GraphOp::WccSuperstep(_) + | GraphOp::SetNodeLabels { .. } + | GraphOp::RemoveNodeLabels { .. } + | GraphOp::Stats { .. } + | GraphOp::NodeEdgeGuard { .. } + | GraphOp::NodePresenceGuard { .. } + | GraphOp::TruncateEdges { .. } + | GraphOp::NodePresenceRead { .. } => None, + } + } +} diff --git a/nodedb-physical/src/physical_plan/graph/read_scope.rs b/nodedb-physical/src/physical_plan/graph/read_scope.rs new file mode 100644 index 000000000..ba0041125 --- /dev/null +++ b/nodedb-physical/src/physical_plan/graph/read_scope.rs @@ -0,0 +1,152 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The bitemporal cut a graph read sees. + +/// The refusal of `AS OF SYSTEM TIME NULL` on a graph walk: a walk reads one +/// graph, and every system-time version of every edge is no graph. +pub const ALL_VERSIONS_REFUSED: &str = + "AS OF SYSTEM TIME NULL is not supported on graph walks; name a system time"; + +/// The system-time cut of a graph read. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Default, + serde::Serialize, + serde::Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum GraphSystemCut { + /// The current edges, through the live CSR. + #[default] + Live, + /// The edges whose newest version at or below this system-time ordinal + /// is not a tombstone. The Control Plane pins one ordinal per statement, + /// so every hop of a walk reads the same graph. + AtOrdinal(i64), + /// Every system-time version (`AS OF SYSTEM TIME NULL`). Only + /// `GraphOp::TemporalNeighbors` accepts it. + AllVersions, +} + +/// The cut of a graph read on both temporal axes. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Default, + serde::Serialize, + serde::Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct GraphReadScope { + pub system: GraphSystemCut, + /// An edge is read only when its valid time `[valid_from_ms, + /// valid_until_ms)` contains this instant. `None` reads every valid time. + pub valid_at_ms: Option, + /// The Calvin cut marker whose cut caps an `AtOrdinal` cut. Every node + /// waits until the marker applied and every Calvin scheduler it runs + /// passed it before it reads at the cut. Every edge version at or below + /// the cut is then installed there. `0` when no marker caps the cut: a + /// live read, or a cut every reader already installed. + pub cut_marker: u64, +} + +impl GraphReadScope { + /// A read at `ordinal`, a cut every reader already installed, so no + /// reader waits for a marker. + pub fn at_installed_cut(ordinal: i64, valid_at_ms: Option) -> Self { + Self { + system: GraphSystemCut::AtOrdinal(ordinal), + valid_at_ms, + cut_marker: 0, + } + } + + /// The current edges at every valid time: the live CSR answers. + pub fn is_live(&self) -> bool { + matches!(self.system, GraphSystemCut::Live) && self.valid_at_ms.is_none() + } + + /// The system-time ordinal a versioned read caps at: the pinned ordinal, + /// or `i64::MAX` for the current versions. `None` for `AllVersions`, + /// which has no single cap. + pub fn cutoff_ordinal(&self) -> Option { + match self.system { + GraphSystemCut::Live => Some(i64::MAX), + GraphSystemCut::AtOrdinal(ordinal) => Some(ordinal), + GraphSystemCut::AllVersions => None, + } + } + + /// The ordinal the Control Plane pinned for a historical read. `None` + /// for a live read and for `AllVersions`. + pub fn pinned_ordinal(&self) -> Option { + match self.system { + GraphSystemCut::AtOrdinal(ordinal) => Some(ordinal), + GraphSystemCut::Live | GraphSystemCut::AllVersions => None, + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn only_the_default_scope_is_live() { + assert!(GraphReadScope::default().is_live()); + assert!(!GraphReadScope::at_installed_cut(5, None).is_live()); + assert!( + !GraphReadScope { + system: GraphSystemCut::Live, + valid_at_ms: Some(5), + cut_marker: 0, + } + .is_live() + ); + } + + #[test] + fn cutoff_ordinal_follows_the_system_cut() { + let at = |system| GraphReadScope { + system, + valid_at_ms: None, + cut_marker: 0, + }; + assert_eq!(at(GraphSystemCut::Live).cutoff_ordinal(), Some(i64::MAX)); + assert_eq!(at(GraphSystemCut::AtOrdinal(7)).cutoff_ordinal(), Some(7)); + assert_eq!(at(GraphSystemCut::AllVersions).cutoff_ordinal(), None); + } + + #[test] + fn only_an_at_ordinal_cut_is_pinned() { + let at = |system| GraphReadScope { + system, + valid_at_ms: None, + cut_marker: 0, + }; + assert_eq!(at(GraphSystemCut::Live).pinned_ordinal(), None); + assert_eq!(at(GraphSystemCut::AtOrdinal(7)).pinned_ordinal(), Some(7)); + assert_eq!(at(GraphSystemCut::AllVersions).pinned_ordinal(), None); + } + + #[test] + fn scope_round_trips_through_msgpack() { + let scope = GraphReadScope { + system: GraphSystemCut::AtOrdinal(42), + valid_at_ms: Some(9), + cut_marker: 77, + }; + let bytes = zerompk::to_msgpack_vec(&scope).expect("encode"); + let back: GraphReadScope = zerompk::from_msgpack(&bytes).expect("decode"); + assert_eq!(back, scope); + } +} diff --git a/nodedb-physical/src/physical_plan/graph/wcc.rs b/nodedb-physical/src/physical_plan/graph/wcc.rs index b2ef82a1a..3f875c8b9 100644 --- a/nodedb-physical/src/physical_plan/graph/wcc.rs +++ b/nodedb-physical/src/physical_plan/graph/wcc.rs @@ -31,12 +31,16 @@ pub struct WccSuperstepPlan { pub owned_vshards: Vec, /// The watermark of the Calvin cut marker the read cut comes from, `0` /// when `system_as_of` already holds it. Every node resolves the same - /// cut from it (see `BspSuperstepPlan::read_cut_marker`), so every node + /// cut from it, or waits for it under a historical round's pinned + /// ordinal (see `BspSuperstepPlan::read_cut_marker`), so every node /// reads the same graph. pub read_cut_marker: u64, /// The system-time ordinal every core reads the graph at. The handler /// refuses a plan without one. pub system_as_of: Option, + /// The valid-time instant every edge read must contain (`AS OF VALID + /// TIME`), or `None` for every valid time. + pub valid_at_ms: Option, } /// Result of one [`super::op::GraphOp::WccSuperstep`] on a single shard. diff --git a/nodedb-physical/src/physical_plan/meta.rs b/nodedb-physical/src/physical_plan/meta.rs index f644c69c3..f6b7bf755 100644 --- a/nodedb-physical/src/physical_plan/meta.rs +++ b/nodedb-physical/src/physical_plan/meta.rs @@ -157,6 +157,26 @@ pub enum MetaOp { version_floor: Vec, }, + /// Remove this core's data of vShards this node no longer hosts, once + /// their new owners serve them: the rows of every collection homed on + /// them, the array cells routed to them, the label versions of the nodes + /// they home, and every edge version with an endpoint home among them + /// and none among `resident`. Collection definitions stay. The purge + /// checkpoints every memory-only engine before it answers. + /// + /// Idempotent: a re-run after a partial purge or a restart removes what + /// is left. + PurgeDepartedVShards { + /// The vShards that left this node. + departed: Vec, + /// Every vShard this node still hosts. An edge with an endpoint + /// home among them stays. + resident: Vec, + /// Every collection homed on `departed`. Each core clears every one + /// and reclaims the shared on-disk files of the ones it homes. + collections: Vec, + }, + /// Purge ALL data for a tenant across every engine and cache. /// /// Deletes documents, indexes, vectors, graph edges, timeseries, @@ -482,6 +502,13 @@ pub enum MetaOp { /// Called after the Control Plane has already removed it from the catalog. DeleteSynonymGroup { tenant_id: u64, name: String }, + /// Replace this core's user-defined CRS set. + /// + /// Sent to every core after a committed `CREATE` or `DROP + /// SPATIAL_REF_SYS`, and after a metadata image replaced the catalog. + /// The set is whole, so a core never holds part of a change. + SetCustomCrsSet { set: nodedb_crs::CustomCrsSet }, + /// Execute a point write at STATEMENT time by STAGING it into the /// per-transaction overlay, instead of buffering it for COMMIT. /// diff --git a/nodedb-physical/src/physical_plan/meta_restore.rs b/nodedb-physical/src/physical_plan/meta_restore.rs index c4336c7b7..ac88fa5dd 100644 --- a/nodedb-physical/src/physical_plan/meta_restore.rs +++ b/nodedb-physical/src/physical_plan/meta_restore.rs @@ -7,7 +7,8 @@ //! writes order against every other transaction, a TRUNCATE included. Each //! participant installs the batch at its transaction's turn. A restored row //! installs as the backup holds it. A restored edge version keeps its -//! historical `system_from` and is applied at the transaction's ordinal. +//! historical `system_from` and is applied at the transaction's ordinal. A +//! restored node label version keeps its system time too. /// One restored edge version. #[derive( @@ -33,6 +34,9 @@ pub struct RestoredEdgeVersion { pub system_from: i64, /// The version's properties, `None` for a tombstone. pub properties: Option>, + /// The version's valid time `[from, until)` in ms since epoch, as the + /// backup holds it. `None` for a tombstone. + pub valid_time: Option<(i64, i64)>, } /// One restored document row: the keys its writers lock. @@ -55,6 +59,27 @@ pub struct RestoredRow { pub surrogate: u32, } +/// One restored node's label history and current label set. +#[derive( + Debug, + Clone, + PartialEq, + Eq, + serde::Serialize, + serde::Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +#[msgpack(map)] +pub struct RestoredNodeLabels { + pub node_id: String, + /// Every label version the backup holds, as `(system_from, labels)`, in + /// ascending system time. Each keeps its system time. + pub versions: Vec<(i64, Vec)>, + /// The label set the node carries in the backup. + pub current: Vec, +} + /// One `(collection, key) → surrogate` identity every participant binds /// before the batch installs. #[derive( @@ -98,6 +123,10 @@ pub struct RestoredRedo { pub rows: Vec, /// The restored edge versions, in apply order. pub edges: Vec, + /// The restored node labels of nodes homed on `vshard`. + #[serde(default)] + #[msgpack(default)] + pub node_labels: Vec, /// Every collection the batch writes, as the Data Plane stores it. pub collections: Vec, /// Every identity the rows and edge endpoints are stored under. @@ -127,6 +156,12 @@ mod tests { dst_surrogate: 5, system_from: 100, properties: None, + valid_time: None, + }], + node_labels: vec![RestoredNodeLabels { + node_id: "alice".into(), + versions: vec![(90, vec!["Person".into()])], + current: vec!["Person".into()], }], collections: vec!["knows".into(), "people".into()], identities: vec![RestoredIdentity { diff --git a/nodedb-physical/src/physical_plan/meta_snapshot.rs b/nodedb-physical/src/physical_plan/meta_snapshot.rs index d83aedf0f..ec3ce73e9 100644 --- a/nodedb-physical/src/physical_plan/meta_snapshot.rs +++ b/nodedb-physical/src/physical_plan/meta_snapshot.rs @@ -1,7 +1,7 @@ // SPDX-License-Identifier: Apache-2.0 -//! Types carried by `MetaOp::RestoreTenantSnapshot` and -//! `MetaOp::CreateTenantSnapshot`. +//! Types carried by `MetaOp::RestoreTenantSnapshot`, +//! `MetaOp::CreateTenantSnapshot` and `MetaOp::PurgeDepartedVShards`. /// One collection a Raft snapshot install clears on a core before it /// installs that core's share of the snapshot. @@ -27,6 +27,26 @@ pub struct SnapshotClearTarget { pub reclaim_l1_files: bool, } +/// One collection a departure purge clears on every core: a collection whose +/// home vShard left this node. +#[derive( + Debug, + Clone, + PartialEq, + Eq, + serde::Serialize, + serde::Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct DepartedCollection { + pub database_id: u64, + pub tenant_id: u64, + /// The name the Data Plane stores the collection under: + /// database-qualified outside the default database. + pub collection: String, +} + /// A database backup's request to capture its tenants at its cut barrier. /// /// The barrier each data group's leader places for the backup carries it. The diff --git a/nodedb-physical/src/physical_plan/mod.rs b/nodedb-physical/src/physical_plan/mod.rs index 8aea5328f..0853ca630 100644 --- a/nodedb-physical/src/physical_plan/mod.rs +++ b/nodedb-physical/src/physical_plan/mod.rs @@ -63,8 +63,9 @@ pub use document::{ pub use exchange::{ExchangeMode, ExchangeOp}; pub use gathered_source::GatheredSource; pub use graph::{ - AlgoEdge, AlgoStage, BatchEdge, BspSuperstepPlan, BspSuperstepResult, GraphOp, RagBindingRow, - RagLegs, RagStage, RagTextHit, RagVectorHit, WccSuperstepPlan, WccSuperstepResult, + ALL_VERSIONS_REFUSED, AlgoEdge, AlgoStage, BatchEdge, BspSuperstepPlan, BspSuperstepResult, + GraphOp, GraphReadScope, GraphSystemCut, RagBindingRow, RagLegs, RagStage, RagTextHit, + RagVectorHit, WccSuperstepPlan, WccSuperstepResult, }; pub use kv::{ KvBatchIntent, KvCounterShape, KvOp, KvResolveOutcome, KvResolvedMutation, SortedIndexRead, @@ -72,8 +73,10 @@ pub use kv::{ }; pub use meta::MetaOp; pub use meta_home::{HomeAnswer, HomeVersion, HomeVersionProbe}; -pub use meta_restore::{RestoredEdgeVersion, RestoredIdentity, RestoredRedo, RestoredRow}; -pub use meta_snapshot::{CutCaptureRequest, SnapshotClearTarget}; +pub use meta_restore::{ + RestoredEdgeVersion, RestoredIdentity, RestoredNodeLabels, RestoredRedo, RestoredRow, +}; +pub use meta_snapshot::{CutCaptureRequest, DepartedCollection, SnapshotClearTarget}; pub use plan::PhysicalPlan; pub use query::{AggregateSpec, GroupKeySpec, JoinProjection, QueryOp}; pub use redo_origin::RedoOrigin; diff --git a/nodedb-physical/src/physical_plan/routing.rs b/nodedb-physical/src/physical_plan/routing.rs index e9e9170fe..bbc1f5051 100644 --- a/nodedb-physical/src/physical_plan/routing.rs +++ b/nodedb-physical/src/physical_plan/routing.rs @@ -91,7 +91,6 @@ pub fn plan_contains_cluster_partitioned_leaf(plan: &PhysicalPlan) -> bool { | PhysicalPlan::Graph(GraphOp::MatchContinuation { .. }) | PhysicalPlan::Graph(GraphOp::MatchVarLenResume { .. }) | PhysicalPlan::Graph(GraphOp::TemporalNeighbors { .. }) - | PhysicalPlan::Graph(GraphOp::TemporalAlgorithm { .. }) | PhysicalPlan::Graph(GraphOp::BspSuperstep(_)) | PhysicalPlan::Graph(GraphOp::WccSuperstep(_)) | PhysicalPlan::Graph(GraphOp::Stats { .. }) => true, @@ -195,7 +194,6 @@ impl PhysicalPlan { | PhysicalPlan::Graph(GraphOp::MatchContinuation { .. }) | PhysicalPlan::Graph(GraphOp::MatchVarLenResume { .. }) | PhysicalPlan::Graph(GraphOp::TemporalNeighbors { .. }) - | PhysicalPlan::Graph(GraphOp::TemporalAlgorithm { .. }) | PhysicalPlan::Graph(GraphOp::BspSuperstep(_)) | PhysicalPlan::Graph(GraphOp::WccSuperstep(_)) | PhysicalPlan::Graph(GraphOp::Stats { .. }) diff --git a/nodedb-physical/src/physical_plan/spatial.rs b/nodedb-physical/src/physical_plan/spatial.rs index 735779650..6309a9da0 100644 --- a/nodedb-physical/src/physical_plan/spatial.rs +++ b/nodedb-physical/src/physical_plan/spatial.rs @@ -20,6 +20,8 @@ use nodedb_types::{QualifiedCollection, Surrogate, SurrogateBitmap, geometry::Sr pub enum SpatialPredicate { /// ST_DWithin: geometry within distance (meters). DWithin, + /// ST_3DDWithin: 3D distance within metres, Z in metres. + DWithin3D, /// ST_Contains: query geometry contains document geometry. Contains, /// ST_Intersects: query geometry intersects document geometry. diff --git a/nodedb-physical/src/physical_plan/truncate_target.rs b/nodedb-physical/src/physical_plan/truncate_target.rs index f0d4a5367..fc4d1f363 100644 --- a/nodedb-physical/src/physical_plan/truncate_target.rs +++ b/nodedb-physical/src/physical_plan/truncate_target.rs @@ -33,6 +33,7 @@ impl PhysicalPlan { | PhysicalPlan::Columnar(ColumnarOp::Truncate { collection, restart_identity, + .. }) | PhysicalPlan::Timeseries(TimeseriesOp::Truncate { collection, @@ -93,6 +94,8 @@ mod tests { let plan = PhysicalPlan::Columnar(ColumnarOp::Truncate { collection: coll(), restart_identity: true, + system_from: None, + erase_history: false, }); let (c, restart) = plan.truncate_target().expect("columnar truncate target"); assert_eq!(c.as_str(), "t"); diff --git a/nodedb-query/Cargo.toml b/nodedb-query/Cargo.toml index 144dec761..33f51e32a 100644 --- a/nodedb-query/Cargo.toml +++ b/nodedb-query/Cargo.toml @@ -15,6 +15,7 @@ categories = ["algorithms", "text-processing"] [dependencies] nodedb-types = { workspace = true } +nodedb-crs = { workspace = true } nodedb-spatial = { workspace = true } thiserror = { workspace = true } nodedb-fts = { workspace = true } diff --git a/nodedb-query/src/expr/eval.rs b/nodedb-query/src/expr/eval.rs index 6d7ebe01d..9d8cfb303 100644 --- a/nodedb-query/src/expr/eval.rs +++ b/nodedb-query/src/expr/eval.rs @@ -7,6 +7,7 @@ //! against the pre-update ("old") document — this is the path used by TRANSITION //! CHECK and similar old/new diff predicates. +use nodedb_crs::{CrsContext, CrsError, UnknownSrid}; use nodedb_types::Value; use crate::value_ops::{coerced_eq, is_truthy, to_value_number, value_to_f64}; @@ -27,9 +28,13 @@ use super::types::{SqlExpr, WHOLE_ROW_COLUMN}; /// dimensions, an argument of the wrong type, a malformed JSONPath. /// SQLSTATE `22000`. A `NULL` argument stays `NULL` instead; /// - an exact integer SUM past the `Decimal` range, SQLSTATE `22000`; -/// - a geometry SRID fault: an unsupported SRID, operands in different -/// SRIDs, or a coordinate outside a projection's domain. SQLSTATE `22000`. -#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +/// - a geometry SRID fault: an SRID no CRS defines, operands in different +/// SRIDs, or a coordinate outside a projection's domain. SQLSTATE `22000`; +/// - a geometry argument that does not parse (WKT, WKB, GeoJSON), or a +/// geometry operation that cannot run on its input. SQLSTATE `22000`; +/// - an argument whose value is out of range for the function. SQLSTATE +/// `22000`. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] pub enum EvalError { #[error("division by zero")] DivisionByZero, @@ -68,13 +73,13 @@ pub enum EvalError { /// An exact integer aggregate total lies outside the `Decimal` range. #[error("{function}(): integer total out of range")] NumericOverflow { function: &'static str }, - /// An SRID argument, or an SRID a geometry declares, is outside the - /// supported set. SQLSTATE `22000`. - #[error( - "{function}(): unsupported SRID {srid}; supported: {}", - nodedb_types::geometry::SUPPORTED_SRID_CODES - )] - UnsupportedSrid { function: &'static str, srid: i64 }, + /// An SRID argument, or an SRID a geometry declares, names no defined + /// CRS. SQLSTATE `22000`. + #[error("{function}(): {source}")] + Crs { + function: &'static str, + source: UnknownSrid, + }, /// Two geometry operands are in different SRIDs. No implicit transform /// runs. SQLSTATE `22000`. #[error("{function}(): operands have different SRIDs {left} and {right}; use ST_Transform")] @@ -83,10 +88,45 @@ pub enum EvalError { left: u32, right: u32, }, - /// A coordinate lies outside the region the target projection is - /// defined on. SQLSTATE `22000`. - #[error("{function}(): coordinate is outside the domain of SRID {srid}")] - ProjectionDomain { function: &'static str, srid: u32 }, + /// A coordinate transform fails: a coordinate lies outside the region a + /// projection is defined on, a CRS definition does not parse or has no + /// PROJ-string form, or a coordinate epoch is out of range. SQLSTATE + /// `22000`. + #[error("{function}(): {source}")] + Transform { + function: &'static str, + source: CrsError, + }, + /// A geometry argument does not parse, or a geometry operation cannot + /// run on its input. SQLSTATE `22000`. + #[error("{function}(): {source}")] + Geometry { + function: &'static str, + source: nodedb_spatial::SpatialError, + }, + /// An argument holds a value outside the range the function accepts. + /// SQLSTATE `22000`. + #[error("{function}(): argument {position} {reason}")] + ArgumentValue { + function: &'static str, + /// 1-based argument position. + position: usize, + reason: String, + }, +} + +impl EvalError { + /// The fault a CRS operation in `function` raises. An unknown SRID keeps + /// its own variant. + pub fn from_crs(function: &'static str, e: CrsError) -> EvalError { + match e { + CrsError::Unknown(source) => EvalError::Crs { function, source }, + source @ (CrsError::OutOfDomain { .. } + | CrsError::Parse(_) + | CrsError::Epoch(_) + | CrsError::ProjExport(_)) => EvalError::Transform { function, source }, + } + } } /// Row scope for `SqlExpr::eval_scope`: how `Column(..)` and `OldColumn(..)` @@ -94,6 +134,8 @@ pub enum EvalError { /// into this scope for every leaf column reference — both `eval()` and /// `eval_with_old()` delegate here instead of duplicating the walk. struct RowScope<'a> { + /// Resolves the SRIDs geo functions meet. + crs: &'a CrsContext<'a>, new_doc: &'a Value, /// Pre-update row, if this is an old/new evaluation (TRANSITION CHECK). /// `None` means `OldColumn(..)` resolves to `Null`, matching plain `eval`. @@ -146,8 +188,11 @@ impl SqlExpr { /// historically-`NULL`-folding case (bad casts, wrong arg counts, /// unknown-value coercions) is unaffected and still evaluates to /// `Ok(Value::Null)`. - pub fn eval(&self, doc: &Value) -> Result { + /// + /// Geo functions resolve SRIDs through `crs`. + pub fn eval(&self, doc: &Value, crs: &CrsContext<'_>) -> Result { self.eval_scope(&RowScope { + crs, new_doc: doc, old_doc: None, excluded_doc: None, @@ -157,8 +202,14 @@ impl SqlExpr { /// Evaluate with access to both NEW and OLD documents, used by /// TRANSITION CHECK predicates. `Column(name)` resolves against /// `new_doc`; `OldColumn(name)` resolves against `old_doc`. - pub fn eval_with_old(&self, new_doc: &Value, old_doc: &Value) -> Result { + pub fn eval_with_old( + &self, + new_doc: &Value, + old_doc: &Value, + crs: &CrsContext<'_>, + ) -> Result { self.eval_scope(&RowScope { + crs, new_doc, old_doc: Some(old_doc), excluded_doc: None, @@ -169,8 +220,14 @@ impl SqlExpr { /// `INSERT ... ON CONFLICT DO UPDATE`. `Column(name)` resolves /// against the existing (current) row `doc`; `ExcludedColumn(name)` /// resolves against `excluded`. - pub fn eval_with_excluded(&self, doc: &Value, excluded: &Value) -> Result { + pub fn eval_with_excluded( + &self, + doc: &Value, + excluded: &Value, + crs: &CrsContext<'_>, + ) -> Result { self.eval_scope(&RowScope { + crs, new_doc: doc, old_doc: None, excluded_doc: Some(excluded), @@ -215,7 +272,7 @@ impl SqlExpr { .iter() .map(|a| a.eval_scope(scope)) .collect::>()?; - crate::functions::eval_function(name, &evaluated) + crate::functions::eval_function(name, &evaluated, scope.crs) } SqlExpr::Cast { expr, to_type } => { @@ -282,6 +339,10 @@ mod tests { use super::super::types::BinaryOp; use super::*; + fn crs() -> CrsContext<'static> { + CrsContext::builtin_only() + } + fn doc() -> Value { Value::Object( [ @@ -300,22 +361,25 @@ mod tests { #[test] fn column_ref() { let expr = SqlExpr::Column("name".into()); - assert_eq!(expr.eval(&doc()).unwrap(), Value::String("Alice".into())); + assert_eq!( + expr.eval(&doc(), &crs()).unwrap(), + Value::String("Alice".into()) + ); } #[test] fn missing_column() { let expr = SqlExpr::Column("missing".into()); - assert_eq!(expr.eval(&doc()).unwrap(), Value::Null); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Null); } #[test] fn whole_row_column_is_the_document() { let expr = SqlExpr::Column(WHOLE_ROW_COLUMN.into()); - assert_eq!(expr.eval(&doc()).unwrap(), doc()); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), doc()); let old = SqlExpr::OldColumn(WHOLE_ROW_COLUMN.into()); let before = Value::Object(Default::default()); - assert_eq!(old.eval_with_old(&doc(), &before).unwrap(), before); + assert_eq!(old.eval_with_old(&doc(), &before, &crs()).unwrap(), before); } #[test] @@ -324,13 +388,13 @@ mod tests { name: "to_jsonb".into(), args: vec![SqlExpr::Column(WHOLE_ROW_COLUMN.into())], }; - assert_eq!(expr.eval(&doc()).unwrap(), doc()); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), doc()); } #[test] fn literal() { let expr = SqlExpr::Literal(Value::Integer(42)); - assert_eq!(expr.eval(&doc()).unwrap(), Value::Integer(42)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Integer(42)); } #[test] @@ -340,7 +404,7 @@ mod tests { op: BinaryOp::Add, right: Box::new(SqlExpr::Literal(Value::Float(1.5))), }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::Integer(12)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Integer(12)); } #[test] @@ -350,7 +414,7 @@ mod tests { op: BinaryOp::Mul, right: Box::new(SqlExpr::Column("qty".into())), }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::Integer(42)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Integer(42)); } #[test] @@ -367,7 +431,10 @@ mod tests { )], else_expr: Some(Box::new(SqlExpr::Literal(Value::String("minor".into())))), }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::String("adult".into())); + assert_eq!( + expr.eval(&doc(), &crs()).unwrap(), + Value::String("adult".into()) + ); } #[test] @@ -377,7 +444,7 @@ mod tests { SqlExpr::Literal(Value::String("default@example.com".into())), ]); assert_eq!( - expr.eval(&doc()).unwrap(), + expr.eval(&doc(), &crs()).unwrap(), Value::String("default@example.com".into()) ); } @@ -388,7 +455,7 @@ mod tests { expr: Box::new(SqlExpr::Column("email".into())), negated: false, }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::Bool(true)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Bool(true)); } // ── Division/modulo by zero ────────────────────────────────────────────── @@ -400,7 +467,7 @@ mod tests { op: BinaryOp::Div, right: Box::new(SqlExpr::Literal(Value::Integer(0))), }; - assert_eq!(expr.eval(&doc()), Err(EvalError::DivisionByZero)); + assert_eq!(expr.eval(&doc(), &crs()), Err(EvalError::DivisionByZero)); } #[test] @@ -410,7 +477,7 @@ mod tests { op: BinaryOp::Div, right: Box::new(SqlExpr::Literal(Value::Float(0.0))), }; - assert_eq!(expr.eval(&doc()), Err(EvalError::DivisionByZero)); + assert_eq!(expr.eval(&doc(), &crs()), Err(EvalError::DivisionByZero)); } #[test] @@ -424,7 +491,7 @@ mod tests { rust_decimal::Decimal::ZERO, ))), }; - assert_eq!(expr.eval(&doc()), Err(EvalError::DivisionByZero)); + assert_eq!(expr.eval(&doc(), &crs()), Err(EvalError::DivisionByZero)); } #[test] @@ -434,7 +501,7 @@ mod tests { op: BinaryOp::Mod, right: Box::new(SqlExpr::Literal(Value::Integer(0))), }; - assert_eq!(expr.eval(&doc()), Err(EvalError::DivisionByZero)); + assert_eq!(expr.eval(&doc(), &crs()), Err(EvalError::DivisionByZero)); } #[test] @@ -446,7 +513,7 @@ mod tests { SqlExpr::Literal(Value::Integer(0)), ], }; - assert_eq!(expr.eval(&doc()), Err(EvalError::DivisionByZero)); + assert_eq!(expr.eval(&doc(), &crs()), Err(EvalError::DivisionByZero)); } /// An untaken CASE branch must never be evaluated — `1/0` in the THEN @@ -465,7 +532,7 @@ mod tests { )], else_expr: Some(Box::new(SqlExpr::Literal(Value::Integer(0)))), }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::Integer(0)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Integer(0)); } /// COALESCE stops at the first non-null argument — a later `1/0` @@ -480,7 +547,7 @@ mod tests { right: Box::new(SqlExpr::Literal(Value::Integer(0))), }, ]); - assert_eq!(expr.eval(&doc()).unwrap(), Value::Integer(1)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Integer(1)); } /// Control: `NULL + 1` still folds to `Ok(Null)` — non-division NULL @@ -492,7 +559,7 @@ mod tests { op: BinaryOp::Add, right: Box::new(SqlExpr::Literal(Value::Integer(1))), }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::Null); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Null); } /// Control: a valid (non-zero-divisor) division still succeeds. @@ -503,6 +570,6 @@ mod tests { op: BinaryOp::Div, right: Box::new(SqlExpr::Literal(Value::Integer(2))), }; - assert_eq!(expr.eval(&doc()).unwrap(), Value::Integer(5)); + assert_eq!(expr.eval(&doc(), &crs()).unwrap(), Value::Integer(5)); } } diff --git a/nodedb-query/src/expr_parse/parser.rs b/nodedb-query/src/expr_parse/parser.rs index 0521dbbfb..62e4926e3 100644 --- a/nodedb-query/src/expr_parse/parser.rs +++ b/nodedb-query/src/expr_parse/parser.rs @@ -409,6 +409,10 @@ mod tests { use super::*; use nodedb_types::Value; + fn crs() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + fn parse_ok(text: &str) -> (SqlExpr, Vec) { parse_generated_expr(text).unwrap() } @@ -418,7 +422,7 @@ mod tests { let (expr, deps) = parse_ok("price * (1 + tax_rate)"); assert_eq!(deps, vec!["price", "tax_rate"]); let doc = Value::from(serde_json::json!({"price": 100.0, "tax_rate": 0.08})); - let result = expr.eval(&doc).unwrap(); + let result = expr.eval(&doc, &crs()).unwrap(); assert_eq!(result.as_f64(), Some(108.0)); } @@ -427,7 +431,7 @@ mod tests { let (expr, deps) = parse_ok("ROUND(price * (1 + tax_rate), 2)"); assert_eq!(deps, vec!["price", "tax_rate"]); let doc = Value::from(serde_json::json!({"price": 99.99, "tax_rate": 0.08})); - let result = expr.eval(&doc).unwrap(); + let result = expr.eval(&doc, &crs()).unwrap(); assert_eq!(result, Value::Float(107.99)); } @@ -436,14 +440,17 @@ mod tests { let (expr, deps) = parse_ok("CONCAT(name, ' ', brand)"); assert_eq!(deps, vec!["brand", "name"]); let doc = Value::from(serde_json::json!({"name": "Shoe", "brand": "Nike"})); - assert_eq!(expr.eval(&doc).unwrap(), Value::String("Shoe Nike".into())); + assert_eq!( + expr.eval(&doc, &crs()).unwrap(), + Value::String("Shoe Nike".into()) + ); } #[test] fn coalesce() { let (expr, _) = parse_ok("COALESCE(description, '')"); let doc = Value::from(serde_json::json!({"description": null})); - assert_eq!(expr.eval(&doc).unwrap(), Value::String("".into())); + assert_eq!(expr.eval(&doc, &crs()).unwrap(), Value::String("".into())); } #[test] @@ -454,10 +461,10 @@ mod tests { assert!(deps.contains(&"price".to_string())); let doc = Value::from(serde_json::json!({"price": 100.0, "discount": 0.2})); - assert_eq!(expr.eval(&doc).unwrap().as_f64(), Some(80.0)); + assert_eq!(expr.eval(&doc, &crs()).unwrap().as_f64(), Some(80.0)); let doc2 = Value::from(serde_json::json!({"price": 100.0, "discount": 0})); - assert_eq!(expr.eval(&doc2).unwrap().as_f64(), Some(100.0)); + assert_eq!(expr.eval(&doc2, &crs()).unwrap().as_f64(), Some(100.0)); } #[test] @@ -480,7 +487,7 @@ mod tests { let (expr, _) = parse_ok("CONCAT(name, ' - ', 'default')"); let doc = Value::from(serde_json::json!({"name": "Product"})); assert_eq!( - expr.eval(&doc).unwrap(), + expr.eval(&doc, &crs()).unwrap(), Value::String("Product - default".into()) ); } @@ -489,14 +496,14 @@ mod tests { fn null_literal() { let (expr, _) = parse_ok("COALESCE(x, NULL, 0)"); let doc = Value::from(serde_json::json!({"x": null})); - assert_eq!(expr.eval(&doc).unwrap(), Value::Integer(0)); + assert_eq!(expr.eval(&doc, &crs()).unwrap(), Value::Integer(0)); } #[test] fn nested_functions() { let (expr, _) = parse_ok("ROUND(price * (1 - COALESCE(discount, 0)), 2)"); let doc = Value::from(serde_json::json!({"price": 49.99})); - assert_eq!(expr.eval(&doc).unwrap(), Value::Float(49.99)); + assert_eq!(expr.eval(&doc, &crs()).unwrap(), Value::Float(49.99)); } #[test] @@ -514,7 +521,10 @@ mod tests { fn cjk_string_in_concat() { let (expr, _) = parse_ok("CONCAT('你好', name)"); let doc = Value::from(serde_json::json!({"name": "world"})); - assert_eq!(expr.eval(&doc).unwrap(), Value::String("你好world".into())); + assert_eq!( + expr.eval(&doc, &crs()).unwrap(), + Value::String("你好world".into()) + ); } #[test] @@ -522,6 +532,6 @@ mod tests { let (expr, deps) = parse_ok("name != '禁止'"); assert_eq!(deps, vec!["name"]); let doc = Value::from(serde_json::json!({"name": "allowed"})); - assert_eq!(expr.eval(&doc).unwrap(), Value::Bool(true)); + assert_eq!(expr.eval(&doc, &crs()).unwrap(), Value::Bool(true)); } } diff --git a/nodedb-query/src/expr_parse/predicate.rs b/nodedb-query/src/expr_parse/predicate.rs index 562cf8f89..7eb5376f3 100644 --- a/nodedb-query/src/expr_parse/predicate.rs +++ b/nodedb-query/src/expr_parse/predicate.rs @@ -131,7 +131,8 @@ mod tests { fn eval(text: &str, doc: serde_json::Value) -> Value { let (expr, _) = parse_generated_expr(text).expect("parses"); - expr.eval(&Value::from(doc)).expect("evaluates") + expr.eval(&Value::from(doc), &nodedb_crs::CrsContext::builtin_only()) + .expect("evaluates") } #[test] diff --git a/nodedb-query/src/functions/eval.rs b/nodedb-query/src/functions/eval.rs index 601f6af6e..e4634963e 100644 --- a/nodedb-query/src/functions/eval.rs +++ b/nodedb-query/src/functions/eval.rs @@ -2,6 +2,7 @@ //! Scalar function evaluation dispatch across per-family sub-modules. +use nodedb_crs::CrsContext; use nodedb_types::Value; use crate::expr::EvalError; @@ -25,7 +26,9 @@ use super::{ /// The fallible families (`math`, `vector`, `json`, geo) return /// `Option>`. The rest stay `Option`-shaped /// and are wrapped in `Ok` at this dispatch boundary. -pub fn eval_function(name: &str, args: &[Value]) -> Result { +/// +/// Geo functions resolve SRIDs through `crs`. +pub fn eval_function(name: &str, args: &[Value], crs: &CrsContext<'_>) -> Result { if let Some(v) = string::try_eval(name, args) { return Ok(v); } @@ -63,8 +66,8 @@ pub fn eval_function(name: &str, args: &[Value]) -> Result { return Ok(v); } // Geo / Spatial functions — delegated to geo_functions module. A geo - // fault (unsupported or mixed SRID, projection domain) fails the call. - match crate::geo_functions::eval_geo_function(name, args) { + // fault (undefined or mixed SRID, projection domain) fails the call. + match crate::geo_functions::eval_geo_function(name, args, crs) { Some(r) => r, None => Err(EvalError::UnknownFunction { name: name.to_owned(), @@ -77,19 +80,24 @@ mod tests { use super::*; use crate::expr::SqlExpr; + fn crs() -> CrsContext<'static> { + CrsContext::builtin_only() + } + fn eval_fn(name: &str, args: Vec) -> Value { - eval_function(name, &args).unwrap() + eval_function(name, &args, &crs()).unwrap() } #[test] fn mod_by_zero_errors() { - let err = eval_function("mod", &[Value::Integer(5), Value::Integer(0)]).unwrap_err(); + let err = + eval_function("mod", &[Value::Integer(5), Value::Integer(0)], &crs()).unwrap_err(); assert_eq!(err, EvalError::DivisionByZero); } #[test] fn an_unknown_function_is_an_error_not_null() { - let err = eval_function("no_such_function", &[Value::Integer(1)]).unwrap_err(); + let err = eval_function("no_such_function", &[Value::Integer(1)], &crs()).unwrap_err(); assert_eq!( err, EvalError::UnknownFunction { @@ -136,7 +144,7 @@ mod tests { ), ]; for (name, args) in calls { - let value = eval_function(name, &args) + let value = eval_function(name, &args, &crs()) .unwrap_or_else(|e| panic!("{name}() must evaluate, got {e}")); assert_ne!(value, Value::Null, "{name}() gave NULL"); } @@ -214,7 +222,7 @@ mod tests { name: "like".into(), args: vec![SqlExpr::Literal(text("bob")), SqlExpr::Literal(text("a%"))], })); - assert_eq!(expr.eval(&Value::Null).unwrap(), Value::Bool(true)); + assert_eq!(expr.eval(&Value::Null, &crs()).unwrap(), Value::Bool(true)); } #[test] @@ -283,7 +291,10 @@ mod tests { .into_iter() .collect(), ); - assert_eq!(expr.eval(&doc).unwrap(), Value::String("ALICE".into())); + assert_eq!( + expr.eval(&doc, &crs()).unwrap(), + Value::String("ALICE".into()) + ); } #[test] @@ -358,7 +369,8 @@ mod tests { vec![point_value(0.0, 0.0), point_value(0.0, 1.0)], ); let d = result.as_f64().unwrap(); - assert!((d - 111_195.0).abs() < 500.0, "got {d}"); + // WGS 84 geodesic, pyproj Geod(ellps="WGS84").inv(0, 0, 0, 1). + assert!((d - 110_574.388_557_798_78).abs() < 1e-6, "got {d}"); } #[test] @@ -401,7 +413,7 @@ mod tests { )); let result = eval_fn("geo_length", vec![line]); let d = result.as_f64().unwrap(); - assert!((d - 111_195.0).abs() < 500.0, "got {d}"); + assert!((d - 110_574.388_557_798_78).abs() < 1e-6, "got {d}"); } #[test] diff --git a/nodedb-query/src/geo_functions/accessors.rs b/nodedb-query/src/geo_functions/accessors.rs index 7c4f8f07a..eaf90a924 100644 --- a/nodedb-query/src/geo_functions/accessors.rs +++ b/nodedb-query/src/geo_functions/accessors.rs @@ -1,192 +1,214 @@ // SPDX-License-Identifier: Apache-2.0 -//! Readers over a geometry's own contents: ordinates, type name, vertex count, -//! and the WKT / GeoJSON renderings. The SRID reader lives in `crs`. +//! Readers over a geometry's own contents: ordinates, dimension, type name +//! and vertex count. The encodings live in `encode`, the SRID reader in +//! `crs`. +use nodedb_crs::CrsContext; use nodedb_types::Value; use nodedb_types::geometry::{Geometry, SridGeometry}; -use super::helpers::{GeoEval, geom_arg}; +use super::helpers::{GeoEval, geom_arg, unary}; +use crate::expr::EvalError; use crate::value_ops::to_value_number; -pub(super) fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { let result = match canonical { - "st_x" => ordinate(args, 0), - "st_y" => ordinate(args, 1), - // WKT stays plain: it has no SRID slot. - "st_astext" => unary(args, |g| { - Value::String(nodedb_spatial::geometry_to_wkt(&g.geometry)) + "st_x" => ordinate(canonical, args, ctx, Ordinate::X), + "st_y" => ordinate(canonical, args, ctx, Ordinate::Y), + "st_z" => ordinate(canonical, args, ctx, Ordinate::Z), + "st_m" => ordinate(canonical, args, ctx, Ordinate::M), + "st_zmin" => unary(canonical, args, ctx, |g| Ok(z_extreme(g, f64::min))), + "st_zmax" => unary(canonical, args, ctx, |g| Ok(z_extreme(g, f64::max))), + "st_coorddim" | "st_ndims" => unary(canonical, args, ctx, |g| { + Ok(Value::Integer(i64::from(g.dimension().coord_dim()))) }), - // GeoJSON carries the `crs` member for any SRID other than 4326. - "st_asgeojson" => unary(args, |g| match sonic_rs::to_string(g) { - Ok(json) => Value::String(json), - Err(_) => Value::Null, + "st_zmflag" => unary(canonical, args, ctx, |g| { + Ok(Value::Integer(i64::from(g.dimension().zm_flag()))) }), - "st_geometrytype" => unary(args, |g| { - Value::String(g.geometry.geometry_type().to_string()) + "st_hasz" => unary(canonical, args, ctx, |g| Ok(Value::Bool(g.has_z()))), + "st_hasm" => unary(canonical, args, ctx, |g| Ok(Value::Bool(g.has_m()))), + "st_isempty" => unary(canonical, args, ctx, |g| Ok(Value::Bool(g.is_empty()))), + "st_geometrytype" => unary(canonical, args, ctx, |g| { + Ok(Value::String(g.geometry().geometry_type().to_string())) + }), + "st_npoints" => unary(canonical, args, ctx, |g| { + Ok(Value::Integer(g.geometry().coord_count() as i64)) }), - "st_npoints" => unary(args, |g| Value::Integer(count_points(&g.geometry) as i64)), _ => return None, }; - Some(Ok(result)) + Some(result) } -fn unary(args: &[Value], f: fn(&SridGeometry) -> Value) -> Value { - match geom_arg(args, 0) { - Some(geom) => f(&geom), - None => Value::Null, - } +#[derive(Clone, Copy)] +enum Ordinate { + X, + Y, + Z, + M, } -/// Read one ordinate of a point. PostGIS defines `ST_X`/`ST_Y` on points only; -/// any other geometry yields NULL rather than an arbitrary vertex. -fn ordinate(args: &[Value], index: usize) -> Value { - match geom_arg(args, 0).map(|g| g.geometry) { - Some(Geometry::Point { coordinates }) => to_value_number(coordinates[index]), - _ => Value::Null, +/// One ordinate of a point. PostGIS defines these on points only: any other +/// geometry, an EMPTY point, and a missing Z or M yield NULL. +fn ordinate( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + which: Ordinate, +) -> Result { + let Some(g) = geom_arg(args, 0, function, ctx)? else { + return Ok(Value::Null); + }; + if !matches!(g.geometry(), Geometry::Point { .. }) || g.is_empty() { + return Ok(Value::Null); } + let Some(p) = g.positions().next() else { + return Ok(Value::Null); + }; + let value = match which { + Ordinate::X => Some(p.x), + Ordinate::Y => Some(p.y), + Ordinate::Z => p.z, + Ordinate::M => p.m, + }; + Ok(value.map_or(Value::Null, to_value_number)) } -fn count_points(geom: &Geometry) -> usize { - match geom { - Geometry::Point { .. } => 1, - Geometry::LineString { coordinates } | Geometry::MultiPoint { coordinates } => { - coordinates.len() - } - Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { - coordinates.iter().map(|ring| ring.len()).sum() - } - Geometry::MultiPolygon { coordinates } => coordinates +/// The least or greatest Z. A geometry without Z has a Z of 0 everywhere, +/// as PostGIS reports it. EMPTY is NULL. +fn z_extreme(g: &SridGeometry, pick: fn(f64, f64) -> f64) -> Value { + if g.is_empty() { + return Value::Null; + } + match g.ordinates().z() { + Some(z) => z .iter() - .flat_map(|poly| poly.iter()) - .map(|ring| ring.len()) - .sum(), - Geometry::GeometryCollection { geometries } => geometries.iter().map(count_points).sum(), - // `Geometry` is `#[non_exhaustive]`; a kind added upstream exposes no - // coordinates this crate can count. - _ => 0, + .copied() + .reduce(pick) + .map_or(Value::Null, to_value_number), + None => to_value_number(0.0), } } #[cfg(test)] mod tests { use super::*; + use nodedb_types::geometry::{Ordinates, Srid}; + + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } - /// The evaluator with its infallible accessors unwrapped. + /// The evaluator with a fault turned into a test failure. fn eval(canonical: &'static str, args: &[Value]) -> Option { - super::eval(canonical, args).map(|r| r.expect("accessors never fail")) + super::eval(canonical, args, &ctx()).map(|r| r.expect("no fault expected")) } fn geom(v: Geometry) -> Vec { vec![Value::Geometry(SridGeometry::wgs84(v))] } + fn zm_point() -> Vec { + vec![Value::Geometry( + SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(), + )] + } + #[test] fn ordinates_read_a_point() { - let point = geom(Geometry::point(1.0, 2.0)); + let point = zm_point(); assert_eq!(eval("st_x", &point), Some(to_value_number(1.0))); assert_eq!(eval("st_y", &point), Some(to_value_number(2.0))); + assert_eq!(eval("st_z", &point), Some(to_value_number(3.0))); + assert_eq!(eval("st_m", &point), Some(to_value_number(4.0))); + let xy = geom(Geometry::point(1.0, 2.0)); + assert_eq!(eval("st_z", &xy), Some(Value::Null)); + assert_eq!(eval("st_m", &xy), Some(Value::Null)); } /// A non-point has no single X; returning a vertex would be a guess. #[test] - fn ordinates_of_a_non_point_are_null() { + fn ordinates_of_a_non_point_or_empty_are_null() { let line = geom(Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]])); assert_eq!(eval("st_x", &line), Some(Value::Null)); - assert_eq!(eval("st_y", &line), Some(Value::Null)); - } - - #[test] - fn astext_renders_wkt() { - let Some(Value::String(wkt)) = eval("st_astext", &geom(Geometry::point(1.0, 2.0))) else { - panic!("expected WKT text"); - }; - assert!(wkt.to_uppercase().starts_with("POINT"), "got {wkt}"); - assert!(wkt.contains('1') && wkt.contains('2'), "got {wkt}"); - } - - #[test] - fn asgeojson_renders_geojson() { - let Some(Value::String(json)) = eval("st_asgeojson", &geom(Geometry::point(1.0, 2.0))) - else { - panic!("expected GeoJSON text"); - }; - assert!( - json.contains("\"Point\"") && json.contains("coordinates"), - "got {json}" + assert_eq!( + eval("st_x", &geom(Geometry::empty_point())), + Some(Value::Null) ); } - /// The two renderings must describe the same geometry — a reader that - /// round-trips one must get the other's geometry back. #[test] - fn wkt_and_geojson_renderings_agree() { - let original = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]); - let Some(Value::String(wkt)) = eval("st_astext", &geom(original.clone())) else { - panic!("expected WKT"); - }; - let Some(Value::String(json)) = eval("st_asgeojson", &geom(original.clone())) else { - panic!("expected GeoJSON"); - }; - assert_eq!( - super::super::helpers::geometry_from_text(&wkt), - Some(SridGeometry::wgs84(original.clone())) - ); - assert_eq!( - super::super::helpers::geometry_from_text(&json), - Some(SridGeometry::wgs84(original)) - ); + fn dimension_readers() { + let zm = zm_point(); + assert_eq!(eval("st_coorddim", &zm), Some(Value::Integer(4))); + assert_eq!(eval("st_ndims", &zm), Some(Value::Integer(4))); + assert_eq!(eval("st_zmflag", &zm), Some(Value::Integer(3))); + assert_eq!(eval("st_hasz", &zm), Some(Value::Bool(true))); + assert_eq!(eval("st_hasm", &zm), Some(Value::Bool(true))); + let xy = geom(Geometry::point(0.0, 0.0)); + assert_eq!(eval("st_zmflag", &xy), Some(Value::Integer(0))); + assert_eq!(eval("st_coorddim", &xy), Some(Value::Integer(2))); } - /// GeoJSON keeps a projected SRID in its `crs` member; WKT stays plain. #[test] - fn projected_renderings() { - let g = SridGeometry::new( - nodedb_types::geometry::Srid::Utm48N, - Geometry::point(1.0, 2.0), + fn z_extremes() { + let line = vec![Value::Geometry( + SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0], [2.0, 2.0]]), + Ordinates::new(Some(vec![5.0, -1.0, 3.0]), None), + ) + .unwrap(), + )]; + assert_eq!(eval("st_zmin", &line), Some(to_value_number(-1.0))); + assert_eq!(eval("st_zmax", &line), Some(to_value_number(5.0))); + assert_eq!( + eval("st_zmax", &geom(Geometry::point(0.0, 0.0))), + Some(to_value_number(0.0)) ); - let args = vec![Value::Geometry(g.clone())]; - let Some(Value::String(json)) = eval("st_asgeojson", &args) else { - panic!("expected GeoJSON"); - }; - assert!(json.contains("EPSG:32648"), "{json}"); - assert_eq!(super::super::helpers::geometry_from_text(&json), Some(g)); - let Some(Value::String(wkt)) = eval("st_astext", &args) else { - panic!("expected WKT"); - }; - assert!(!wkt.contains("SRID"), "{wkt}"); } #[test] - fn geometrytype_names_the_variant() { + fn type_count_and_empty() { assert_eq!( eval("st_geometrytype", &geom(Geometry::point(0.0, 0.0))), Some(Value::String("Point".into())) ); - } - - #[test] - fn npoints_counts_every_vertex() { let line = geom(Geometry::line_string(vec![ [0.0, 0.0], [1.0, 1.0], [2.0, 2.0], ])); assert_eq!(eval("st_npoints", &line), Some(Value::Integer(3))); - } - - #[test] - fn unreadable_geometry_yields_null() { - let bad = vec![Value::String("not a geometry".into())]; - assert_eq!(eval("st_astext", &bad), Some(Value::Null)); - assert_eq!(eval("st_npoints", &bad), Some(Value::Null)); + assert_eq!( + eval("st_npoints", &geom(Geometry::empty_point())), + Some(Value::Integer(0)) + ); + assert_eq!( + eval("st_isempty", &geom(Geometry::empty_point())), + Some(Value::Bool(true)) + ); } /// A WKT string argument is a geometry, so accessors read it directly. #[test] fn wkt_string_argument_is_accepted() { - let wkt = vec![Value::String("POINT(3 4)".into())]; + let wkt = vec![Value::String("POINT Z (3 4 5)".into())]; assert_eq!(eval("st_x", &wkt), Some(to_value_number(3.0))); - assert_eq!(eval("st_y", &wkt), Some(to_value_number(4.0))); + assert_eq!(eval("st_z", &wkt), Some(to_value_number(5.0))); + } + + #[test] + fn unreadable_text_fails_the_statement() { + let bad = vec![Value::String("not a geometry".into())]; + assert!(matches!( + super::eval("st_npoints", &bad, &ctx()), + Some(Err(EvalError::Geometry { .. })) + )); } } diff --git a/nodedb-query/src/geo_functions/catalog/spec.rs b/nodedb-query/src/geo_functions/catalog/spec.rs index 5378abec4..26298544d 100644 --- a/nodedb-query/src/geo_functions/catalog/spec.rs +++ b/nodedb-query/src/geo_functions/catalog/spec.rs @@ -18,12 +18,12 @@ pub enum GeoArgShape { Geometry2Distance, /// `(geom, srid)` GeometrySrid, + /// `(geom, srid [, epoch])`: the epoch is a decimal year. + GeometrySridEpoch, /// `(geom, distance_m [, segments])` GeometryBuffer, /// `(lng, lat)` LngLat, - /// `(x, y [, z])` - LngLatZ, /// `(lng, lat [, precision])` LngLatPrecision, /// `(lat, lng, resolution)` — note the reversed leading pair relative to @@ -45,6 +45,26 @@ pub enum GeoArgShape { PointsVariadic, /// `(ring, ring, ...)` RingsVariadic, + /// `(x, y [, z [, m]])` + Xyzm, + /// `(x, y, m)` + Xym, + /// `(geom, number)` + GeometryNumber, + /// `(geom [, number])` + GeometryNumberOpt, + /// `(geom [, number [, number]])` + GeometryNumbers2Opt, + /// `(geom, number [, number])` + GeometryNumberNumberOpt, + /// `(geom, number, number [, number])` + GeometryRange, + /// `(geom [, text])` + GeometryTextOpt, + /// `(geom1, geom2 [, text])` + Geometry2TextOpt, + /// `(z, x, y [, bounds])` + TileEnvelope, } impl GeoArgShape { @@ -52,11 +72,19 @@ impl GeoArgShape { pub const fn arity(self) -> (usize, usize) { match self { Self::Geometry1 | Self::Text1 => (1, 1), - Self::TextSrid | Self::BytesSrid => (1, 2), - Self::Geometry2 | Self::LngLat | Self::GeometrySrid => (2, 2), - Self::GeometryBuffer | Self::LngLatZ | Self::LngLatPrecision => (2, 3), - Self::Geometry2Distance | Self::LatLngResolution => (3, 3), - Self::Circle => (3, 4), + Self::TextSrid | Self::BytesSrid | Self::GeometryNumberOpt | Self::GeometryTextOpt => { + (1, 2) + } + Self::GeometryNumbers2Opt => (1, 3), + Self::Geometry2 | Self::LngLat | Self::GeometrySrid | Self::GeometryNumber => (2, 2), + Self::GeometryBuffer + | Self::GeometrySridEpoch + | Self::LngLatPrecision + | Self::GeometryNumberNumberOpt + | Self::Geometry2TextOpt => (2, 3), + Self::Xyzm => (2, 4), + Self::Geometry2Distance | Self::LatLngResolution | Self::Xym => (3, 3), + Self::Circle | Self::GeometryRange | Self::TileEnvelope => (3, 4), Self::Haversine4 | Self::Bbox => (4, 4), Self::PointsVariadic => (2, MAX_VARIADIC), Self::RingsVariadic => (1, MAX_VARIADIC), @@ -64,6 +92,42 @@ impl GeoArgShape { } } +impl GeoArgShape { + /// The zero-based position of the SRID argument, for a shape that has + /// one: `(geom, srid)`, `(geom, srid [, epoch])`, `(wkt [, srid])` and + /// `(wkb [, srid])`. + pub const fn srid_position(self) -> Option { + match self { + Self::GeometrySrid | Self::GeometrySridEpoch | Self::TextSrid | Self::BytesSrid => { + Some(1) + } + Self::Geometry1 + | Self::Geometry2 + | Self::Geometry2Distance + | Self::GeometryBuffer + | Self::LngLat + | Self::LngLatPrecision + | Self::LatLngResolution + | Self::Text1 + | Self::Haversine4 + | Self::Circle + | Self::Bbox + | Self::PointsVariadic + | Self::RingsVariadic + | Self::Xyzm + | Self::Xym + | Self::GeometryNumber + | Self::GeometryNumberOpt + | Self::GeometryNumbers2Opt + | Self::GeometryNumberNumberOpt + | Self::GeometryRange + | Self::GeometryTextOpt + | Self::Geometry2TextOpt + | Self::TileEnvelope => None, + } + } +} + /// Upper bound on a variadic geo constructor's argument count. Matches the /// registry's existing cap for `geo_line` / `geo_polygon`. pub const MAX_VARIADIC: usize = 255; @@ -79,9 +143,13 @@ pub enum GeoReturn { Float, Int, Text, + Bytes, Geometry, Object, Array, + /// The type depends on the argument count (`ST_Relate`: text with two + /// arguments, boolean with a pattern). Typed at runtime. + ByArity, } /// One geospatial SQL function. diff --git a/nodedb-query/src/geo_functions/catalog/table.rs b/nodedb-query/src/geo_functions/catalog/table.rs index 36a5bbcd5..967cb9842 100644 --- a/nodedb-query/src/geo_functions/catalog/table.rs +++ b/nodedb-query/src/geo_functions/catalog/table.rs @@ -27,41 +27,96 @@ pub static GEO_FUNCTIONS: &[GeoFunctionSpec] = &[ f("st_within", &[], Geometry2, Bool), f("st_disjoint", &[], Geometry2, Bool), f("st_dwithin", &[], Geometry2Distance, Bool), + f("st_touches", &[], Geometry2, Bool), + f("st_crosses", &[], Geometry2, Bool), + f("st_overlaps", &[], Geometry2, Bool), + f("st_equals", &[], Geometry2, Bool), + f("st_covers", &[], Geometry2, Bool), + f("st_coveredby", &[], Geometry2, Bool), + f("st_relate", &[], Geometry2TextOpt, ByArity), + f("st_3ddwithin", &[], Geometry2Distance, Bool), + f("st_3dintersects", &[], Geometry2, Bool), f("st_isvalid", &["geo_is_valid"], Geometry1, Bool), + f("st_isvalidreason", &[], Geometry1, Text), + f("st_isempty", &[], Geometry1, Bool), // ── Measures ── f("st_distance", &[], Geometry2, Float), f("st_length", &["geo_length"], Geometry1, Float), f("st_perimeter", &["geo_perimeter"], Geometry1, Float), f("st_area", &[], Geometry1, Float), + f("st_3ddistance", &[], Geometry2, Float), + f("st_3dlength", &[], Geometry1, Float), f("geo_distance", &["haversine_distance"], Haversine4, Float), f("geo_bearing", &["haversine_bearing"], Haversine4, Float), // ── Accessors ── f("st_x", &["geo_x"], Geometry1, Float), f("st_y", &["geo_y"], Geometry1, Float), - f("st_astext", &["geo_as_wkt"], Geometry1, Text), - f("st_asgeojson", &["geo_as_geojson"], Geometry1, Text), + f("st_z", &[], Geometry1, Float), + f("st_m", &[], Geometry1, Float), + f("st_zmin", &[], Geometry1, Float), + f("st_zmax", &[], Geometry1, Float), + f("st_coorddim", &[], Geometry1, Int), + f("st_ndims", &[], Geometry1, Int), + f("st_zmflag", &[], Geometry1, Int), + f("st_hasz", &[], Geometry1, Bool), + f("st_hasm", &[], Geometry1, Bool), f("st_geometrytype", &["geo_type"], Geometry1, Text), f("st_npoints", &["geo_num_points"], Geometry1, Int), + // ── Encodings ── + f("st_astext", &["geo_as_wkt"], Geometry1, Text), + f("st_asewkt", &[], Geometry1, Text), + f("st_asgeojson", &["geo_as_geojson"], Geometry1, Text), + f("st_asbinary", &[], GeometryTextOpt, Bytes), + f("st_asewkb", &[], GeometryTextOpt, Bytes), // ── Spatial reference systems ── f("st_srid", &[], Geometry1, Int), f("st_setsrid", &[], GeometrySrid, Geometry), - f("st_transform", &[], GeometrySrid, Geometry), + f("st_transform", &[], GeometrySridEpoch, Geometry), + f("st_shiftlongitude", &[], Geometry1, Geometry), // ── Constructors ── f("st_point", &["geo_point"], LngLat, Geometry), - f("st_makepoint", &[], LngLatZ, Geometry), - f("st_geomfromtext", &["geo_from_wkt"], TextSrid, Geometry), + f("st_makepoint", &[], Xyzm, Geometry), + f("st_makepointm", &[], Xym, Geometry), + f( + "st_geomfromtext", + &["geo_from_wkt", "st_geomfromewkt"], + TextSrid, + Geometry, + ), f("st_geomfromgeojson", &["geo_from_geojson"], Text1, Geometry), - f("st_geomfromwkb", &[], BytesSrid, Geometry), + f("st_geomfromwkb", &["st_geomfromewkb"], BytesSrid, Geometry), f("st_makeline", &["geo_line"], PointsVariadic, Geometry), f("st_makepolygon", &["geo_polygon"], RingsVariadic, Geometry), f("st_makeenvelope", &["geo_bbox"], Bbox, Geometry), + f("st_tileenvelope", &[], TileEnvelope, Geometry), f("geo_circle", &[], Circle, Geometry), + // ── Dimension ── + f("st_force2d", &[], Geometry1, Geometry), + f("st_force3d", &["st_force3dz"], GeometryNumberOpt, Geometry), + f("st_force3dm", &[], GeometryNumberOpt, Geometry), + f("st_force4d", &[], GeometryNumbers2Opt, Geometry), // ── Geometry-returning operations ── f("st_buffer", &[], GeometryBuffer, Geometry), f("st_envelope", &[], Geometry1, Geometry), f("st_union", &[], Geometry2, Geometry), f("st_intersection", &[], Geometry2, Geometry), + f("st_difference", &[], Geometry2, Geometry), + f("st_symdifference", &[], Geometry2, Geometry), f("st_centroid", &[], Geometry1, Geometry), + f("st_convexhull", &[], Geometry1, Geometry), + f("st_concavehull", &[], GeometryNumber, Geometry), + f("st_simplify", &[], GeometryNumber, Geometry), + f("st_simplifypreservetopology", &[], GeometryNumber, Geometry), + f("st_makevalid", &[], Geometry1, Geometry), + f("st_subdivide", &[], GeometryNumberOpt, Geometry), + f("st_segmentize", &[], GeometryNumber, Geometry), + f("st_closestpoint", &[], Geometry2, Geometry), + f("st_split", &[], Geometry2, Geometry), + // ── Linear referencing ── + f("st_lineinterpolatepoint", &[], GeometryNumber, Geometry), + f("st_locatealong", &[], GeometryNumberNumberOpt, Geometry), + f("st_locatebetween", &[], GeometryRange, Geometry), + f("st_interpolatepoint", &[], Geometry2, Float), // ── Geohash ── f("st_geohash", &["geo_geohash"], LngLatPrecision, Text), f("st_geohashdecode", &["geo_geohash_decode"], Text1, Object), @@ -69,8 +124,8 @@ pub static GEO_FUNCTIONS: &[GeoFunctionSpec] = &[ // ── H3 ── // `geo_h3` and `h3_latlngtocell` are NOT aliases: `geo_h3` takes // (lng, lat, resolution) while the H3 surface name takes (lat, lng, - // resolution). Folding them together would silently transpose - // coordinates, so they stay separate rows with separate shapes. + // resolution). One row for both transposes coordinates, so they stay + // separate rows with separate shapes. f("geo_h3", &[], LngLatPrecision, Text), f("h3_latlngtocell", &[], LatLngResolution, Text), f("h3_celltolatlng", &[], Text1, Object), diff --git a/nodedb-query/src/geo_functions/constructors.rs b/nodedb-query/src/geo_functions/constructors.rs index 7556088a0..dd5a0fbd8 100644 --- a/nodedb-query/src/geo_functions/constructors.rs +++ b/nodedb-query/src/geo_functions/constructors.rs @@ -1,159 +1,124 @@ // SPDX-License-Identifier: Apache-2.0 -//! Geometry constructors and geometry-returning operations. +//! Geometry constructors. //! -//! A constructor from bare numbers builds a WGS 84 geometry. An operation on -//! geometries keeps its input SRID. A binary operation needs both inputs in -//! one SRID. +//! A constructor from bare numbers builds a WGS 84 geometry. A constructor +//! from geometries keeps their SRID and needs them in one SRID. Text or +//! bytes that do not parse fail the statement. +use nodedb_crs::CrsContext; +use nodedb_spatial::SridCheck; use nodedb_types::Value; -use nodedb_types::geometry::{Geometry, Srid, SridGeometry}; +use nodedb_types::geometry::{Dimension, Geometry, Ordinates, Srid, SridGeometry}; use super::helpers::{ - GeoEval, SridArg, geom_arg, num_arg, parse_text_geometry, same_srid, srid_arg, str_arg, - text_fault, + GeoEval, SridArg, finite_arg, geom_arg, geometry_fault, num_arg, same_srid, srid_arg, str_arg, + text_geometry, }; use crate::expr::EvalError; /// Default segment count for the circular approximations `ST_Buffer` and /// `geo_circle` produce when the caller does not specify one. -const DEFAULT_BUFFER_SEGMENTS: usize = 32; +pub(super) const DEFAULT_BUFFER_SEGMENTS: usize = 32; -pub(super) fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { let result = match canonical { - "st_point" | "st_makepoint" => Ok(point(args)), - "st_geomfromtext" => from_text(canonical, args, true), - "st_geomfromgeojson" => from_text(canonical, args, false), - "st_geomfromwkb" => from_wkb(canonical, args), - "st_makeline" => make_line(canonical, args), - "st_makepolygon" => Ok(make_polygon(args)), - "st_makeenvelope" => Ok(make_envelope(args)), - "geo_circle" => Ok(circle(args)), - "st_buffer" => Ok(buffer(args)), - "st_envelope" => Ok(unary(args, |g| { - Some(nodedb_spatial::st_envelope_in( - &g.geometry, - g.srid.bbox_space(), - )) - })), - "st_centroid" => Ok(unary(args, |g| { - nodedb_spatial::st_centroid_in(&g.geometry, g.srid.bbox_space()) - })), - "st_union" => binary(canonical, args, nodedb_spatial::st_union), - "st_intersection" => binary(canonical, args, nodedb_spatial::st_intersection), + "st_point" => point(canonical, args, Dimension::Xy), + "st_makepoint" => { + let dimension = match args.len() { + 3 => Dimension::Xyz, + 4 => Dimension::Xyzm, + _ => Dimension::Xy, + }; + point(canonical, args, dimension) + } + "st_makepointm" => point(canonical, args, Dimension::Xym), + "st_geomfromtext" => from_text(canonical, args, ctx, true), + "st_geomfromgeojson" => from_text(canonical, args, ctx, false), + "st_geomfromwkb" => from_wkb(canonical, args, ctx), + "st_makeline" => make_line(canonical, args, ctx), + "st_makepolygon" => make_polygon(canonical, args), + "st_makeenvelope" => make_envelope(canonical, args), + "st_tileenvelope" => tile_envelope(canonical, args, ctx), + "geo_circle" => circle(canonical, args, ctx), _ => return None, }; Some(result) } -/// A unary geometry operation whose result keeps the input SRID. -fn unary(args: &[Value], f: fn(&SridGeometry) -> Option) -> Value { - match geom_arg(args, 0) { - Some(g) => match f(&g) { - Some(out) => Value::Geometry(g.with_geometry(out)), - None => Value::Null, - }, - None => Value::Null, +/// `ST_Point(x, y)`, `ST_MakePoint(x, y [, z [, m]])`, `ST_MakePointM(x, +/// y, m)`. A NULL ordinate makes the point NULL. +fn point(function: &'static str, args: &[Value], dimension: Dimension) -> Result { + let n = usize::from(dimension.coord_dim()); + let mut v = [0.0f64; 4]; + for (i, slot) in v.iter_mut().enumerate().take(n) { + match finite_arg(args, i, function)? { + Some(x) => *slot = x, + None => return Ok(Value::Null), + } } + let z = dimension.has_z().then(|| vec![v[2]]); + let m = dimension + .has_m() + .then(|| vec![v[if dimension.has_z() { 3 } else { 2 }]]); + let g = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(v[0], v[1]), + Ordinates::new(z, m), + ) + .map_err(|e| geometry_fault(function, e.into()))?; + Ok(Value::Geometry(g)) } -/// A binary geometry operation over two inputs in one SRID. -fn binary( +/// `ST_GeomFromText(text [, srid])` and `ST_GeomFromGeoJSON(text)`. GeoJSON +/// and EWKT keep the SRID they name. An explicit SRID argument relabels the +/// result. +fn from_text( function: &'static str, args: &[Value], - f: fn(&Geometry, &Geometry) -> Geometry, + ctx: &CrsContext<'_>, + takes_srid: bool, ) -> Result { - let (Some(a), Some(b)) = (geom_arg(args, 0), geom_arg(args, 1)) else { - return Ok(Value::Null); - }; - let srid = same_srid(function, &a, &b)?; - Ok(Value::Geometry(SridGeometry::new( - srid, - f(&a.geometry, &b.geometry), - ))) -} - -/// `ST_GeomFromText(text [, srid])` and `ST_GeomFromGeoJSON(text)`. A GeoJSON -/// text keeps the SRID its `crs` member names. An explicit SRID argument -/// relabels the result. -fn from_text(function: &'static str, args: &[Value], takes_srid: bool) -> Result { let explicit = if takes_srid { - srid_arg(args, 1, function)? + srid_arg(args, 1, function, ctx)? } else { SridArg::Absent }; let Some(text) = str_arg(args, 0) else { return Ok(Value::Null); }; - let mut geom = match parse_text_geometry(&text) { - Ok(g) => g, - Err(e) => return text_fault(function, e), - }; - match explicit { - SridArg::Absent => {} - SridArg::Null => return Ok(Value::Null), - SridArg::Srid(srid) => geom.srid = srid, - } - Ok(Value::Geometry(geom)) + let geom = text_geometry(function, &text, ctx)?; + Ok(match explicit { + SridArg::Absent => Value::Geometry(geom), + SridArg::Null => Value::Null, + SridArg::Srid(srid) => Value::Geometry(geom.with_srid(srid)), + }) } /// `ST_GeomFromWKB(wkb [, srid])`. An explicit SRID argument wins over the /// SRID an EWKB header carries. ISO WKB with no SRID argument is WGS 84. -fn from_wkb(function: &'static str, args: &[Value]) -> Result { - let explicit = srid_arg(args, 1, function)?; - let Some(bytes) = wkb_bytes(args) else { - return Ok(Value::Null); - }; - let Some((geometry, header_srid)) = nodedb_spatial::geometry_from_wkb(&bytes) else { - return Ok(Value::Null); - }; - let srid = match (explicit, header_srid) { - (SridArg::Null, _) => return Ok(Value::Null), - (SridArg::Srid(srid), _) => srid, - (SridArg::Absent, Some(code)) => { - Srid::from_code(i64::from(code)).map_err(|e| EvalError::UnsupportedSrid { - function, - srid: e.code, - })? - } - (SridArg::Absent, None) => Srid::Wgs84, - }; - Ok(Value::Geometry(SridGeometry::new(srid, geometry))) -} - -/// `ST_Buffer(geom, distance [, segments])`. Distance is metres in either -/// space: geodesic-approximate for 4326, planar for a projected SRID. -fn buffer(args: &[Value]) -> Value { - let (Some(g), Some(distance)) = (geom_arg(args, 0), num_arg(args, 1)) else { - return Value::Null; - }; - let segments = segments_arg(args, 2); - let out = if g.srid.is_geographic() { - nodedb_spatial::st_buffer(&g.geometry, distance, segments) - } else { - nodedb_spatial::planar_buffer(&g.geometry, distance, segments) +fn from_wkb( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let explicit = srid_arg(args, 1, function, ctx)?; + let bytes = match args.first() { + Some(Value::Bytes(bytes)) => bytes.clone(), + Some(Value::String(hex)) => decode_hex(hex.trim()).ok_or(EvalError::ArgumentValue { + function, + position: 1, + reason: "is not hex-encoded WKB".into(), + })?, + _ => return Ok(Value::Null), }; - Value::Geometry(g.with_geometry(out)) -} - -/// Segment count for a circular approximation, floored at 3 — fewer than three -/// segments cannot enclose an area, and a caller asking for 0 would otherwise -/// silently receive a degenerate geometry. -fn segments_arg(args: &[Value], idx: usize) -> usize { - num_arg(args, idx) - .filter(|n| n.is_finite() && *n >= 3.0) - .map_or(DEFAULT_BUFFER_SEGMENTS, |n| n as usize) -} - -/// WKB bytes for `ST_GeomFromWKB`, from either an `X'...'` byte literal or the -/// equivalent hex string. Both spellings reach this function — a client that -/// cannot emit a byte literal passes the same bytes as text. -fn wkb_bytes(args: &[Value]) -> Option> { - match args.first()? { - Value::Bytes(bytes) => Some(bytes.clone()), - Value::String(hex) => decode_hex(hex.trim()), - _ => None, - } + let geom = nodedb_spatial::geometry_from_bytes(&bytes, SridCheck::Resolve(ctx)) + .map_err(|e| geometry_fault(function, e))?; + Ok(match explicit { + SridArg::Absent => Value::Geometry(geom), + SridArg::Null => Value::Null, + SridArg::Srid(srid) => Value::Geometry(geom.with_srid(srid)), + }) } fn decode_hex(hex: &str) -> Option> { @@ -162,114 +127,204 @@ fn decode_hex(hex: &str) -> Option> { } (0..hex.len()) .step_by(2) - .map(|i| u8::from_str_radix(&hex[i..i + 2], 16).ok()) + .map(|i| u8::from_str_radix(hex.get(i..i + 2)?, 16).ok()) .collect() } -fn point(args: &[Value]) -> Value { - let (Some(lng), Some(lat)) = (num_arg(args, 0), num_arg(args, 1)) else { - return Value::Null; +/// `geo_circle(lng, lat, radius_m [, segments])`: a WGS 84 geodesic circle. +fn circle( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let (Some(lng), Some(lat), Some(radius)) = ( + finite_arg(args, 0, function)?, + finite_arg(args, 1, function)?, + finite_arg(args, 2, function)?, + ) else { + return Ok(Value::Null); }; - Value::Geometry(SridGeometry::wgs84(Geometry::point(lng, lat))) + let segments = segments_arg(args, 3); + let def = ctx + .resolve(Srid::WGS84) + .map_err(|source| EvalError::Crs { function, source })?; + let shape = nodedb_spatial::ops::buffer(&Geometry::point(lng, lat), radius, segments, &def) + .map_err(|e| geometry_fault(function, e))?; + Ok(Value::Geometry(SridGeometry::wgs84(shape))) } -fn circle(args: &[Value]) -> Value { - let (Some(lng), Some(lat), Some(radius)) = - (num_arg(args, 0), num_arg(args, 1), num_arg(args, 2)) - else { - return Value::Null; - }; - let segments = segments_arg(args, 3); - Value::Geometry(SridGeometry::wgs84(nodedb_spatial::st_buffer( - &Geometry::point(lng, lat), - radius, - segments, - ))) +/// Segment count for a circular approximation, floored at 3 — fewer than three +/// segments cannot enclose an area, and a caller asking for 0 receives the +/// default rather than a degenerate geometry. +pub(super) fn segments_arg(args: &[Value], idx: usize) -> usize { + num_arg(args, idx) + .filter(|n| n.is_finite() && *n >= 3.0) + .map_or(DEFAULT_BUFFER_SEGMENTS, |n| n as usize) } -/// `ST_MakeLine(point, point, ...)` — every argument must be a readable point; -/// a single unreadable one makes the whole line NULL rather than silently -/// dropping a vertex and shortening the line. Every point must share one -/// SRID, which the line keeps. -fn make_line(function: &'static str, args: &[Value]) -> Result { - let mut coords = Vec::with_capacity(args.len()); - let mut first: Option = None; +/// `ST_MakeLine(point, point, ...)`. Every argument must be a point in one +/// SRID and one dimension, which the line keeps. A NULL argument makes the +/// line NULL. +fn make_line( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let mut points: Vec = Vec::with_capacity(args.len()); for idx in 0..args.len() { - let Some(g) = geom_arg(args, idx) else { - return Ok(Value::Null); - }; - let Geometry::Point { coordinates } = g.geometry else { + let Some(g) = geom_arg(args, idx, function, ctx)? else { return Ok(Value::Null); }; - if let Some(head) = &first { + if !matches!(g.geometry(), Geometry::Point { .. }) || g.is_empty() { + return Err(EvalError::ArgumentValue { + function, + position: idx + 1, + reason: format!( + "must be a non-empty point, got {}", + g.geometry().geometry_type() + ), + }); + } + if let Some(head) = points.first() { same_srid(function, head, &g)?; } - coords.push(coordinates); - first.get_or_insert(g); + points.push(g); } - if coords.len() < 2 { + let Some(first) = points.first() else { return Ok(Value::Null); + }; + if points.len() < 2 { + return Err(EvalError::ArgumentValue { + function, + position: 1, + reason: "a line needs at least two points".into(), + }); + } + let dimension = first.dimension(); + let mut builder = nodedb_types::geometry::OrdinatesBuilder::with_dimension(dimension); + let mut coords = Vec::with_capacity(points.len()); + for p in points.iter().flat_map(|g| g.positions()) { + builder + .push(p.z, p.m) + .map_err(|e| geometry_fault(function, e.into()))?; + coords.push([p.x, p.y]); } - let srid = first.map_or(Srid::Wgs84, |g| g.srid); - Ok(Value::Geometry(SridGeometry::new( - srid, - Geometry::line_string(coords), - ))) + SridGeometry::with_ordinates(first.srid, Geometry::line_string(coords), builder.finish()) + .map(Value::Geometry) + .map_err(|e| geometry_fault(function, e.into())) } /// `ST_MakePolygon(ring, ...)` — each argument is an array of coordinate -/// pairs. As with `ST_MakeLine`, a malformed vertex fails the whole call. -fn make_polygon(args: &[Value]) -> Value { +/// pairs. A malformed vertex fails the whole call. +fn make_polygon(function: &'static str, args: &[Value]) -> Result { let mut rings = Vec::with_capacity(args.len()); - for arg in args { - let Some(points) = arg.as_array() else { - return Value::Null; + for (idx, arg) in args.iter().enumerate() { + if matches!(arg, Value::Null) { + return Ok(Value::Null); + } + let bad = |reason: &str| EvalError::ArgumentValue { + function, + position: idx + 1, + reason: reason.into(), }; + let points = arg + .as_array() + .ok_or_else(|| bad("must be an array of [x, y] pairs"))?; let mut ring = Vec::with_capacity(points.len()); for point in points { - let Some(pair) = point.as_array() else { - return Value::Null; - }; - let (Some(lng), Some(lat)) = ( + let pair = point + .as_array() + .ok_or_else(|| bad("holds a vertex that is not an array"))?; + let (Some(x), Some(y)) = ( pair.first().and_then(Value::as_f64), pair.get(1).and_then(Value::as_f64), ) else { - return Value::Null; + return Err(bad("holds a vertex without two numbers")); }; - ring.push([lng, lat]); + ring.push([x, y]); } - if ring.is_empty() { - return Value::Null; + if ring.len() < 4 { + return Err(bad("a ring needs at least 4 points")); } rings.push(ring); } - if rings.is_empty() { - return Value::Null; + Ok(Value::Geometry(SridGeometry::wgs84(Geometry::polygon( + rings, + )))) +} + +fn make_envelope(function: &'static str, args: &[Value]) -> Result { + let mut v = [0.0f64; 4]; + for (i, slot) in v.iter_mut().enumerate() { + match finite_arg(args, i, function)? { + Some(x) => *slot = x, + None => return Ok(Value::Null), + } } - Value::Geometry(SridGeometry::wgs84(Geometry::polygon(rings))) + let [min_x, min_y, max_x, max_y] = v; + Ok(Value::Geometry(SridGeometry::wgs84(Geometry::polygon( + vec![vec![ + [min_x, min_y], + [max_x, min_y], + [max_x, max_y], + [min_x, max_y], + [min_x, min_y], + ]], + )))) } -fn make_envelope(args: &[Value]) -> Value { - let (Some(min_lng), Some(min_lat), Some(max_lng), Some(max_lat)) = ( - num_arg(args, 0), - num_arg(args, 1), - num_arg(args, 2), - num_arg(args, 3), - ) else { - return Value::Null; +/// `ST_TileEnvelope(z, x, y [, bounds])`: an XYZ tile as an EPSG:3857 +/// polygon, or over the box and SRID of `bounds`. +fn tile_envelope( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let mut zxy = [0i64; 3]; + for (i, slot) in zxy.iter_mut().enumerate() { + match args.get(i) { + None | Some(Value::Null) => return Ok(Value::Null), + Some(Value::Integer(n)) => *slot = *n, + Some(Value::Float(f)) if f.fract() == 0.0 && f.is_finite() => *slot = *f as i64, + Some(other) => { + return Err(EvalError::ArgumentType { + function, + position: i + 1, + expected: "an integer", + got: other.type_name(), + }); + } + } + } + let (bounds, srid) = match geom_arg(args, 3, function, ctx)? { + Some(b) => { + let bb = b + .bbox(ctx) + .map_err(|source| EvalError::Crs { function, source })?; + (bb, b.srid) + } + None => ( + nodedb_spatial::ops::web_mercator_bounds(), + Srid::WEB_MERCATOR, + ), }; - Value::Geometry(SridGeometry::wgs84(Geometry::polygon(vec![vec![ - [min_lng, min_lat], - [max_lng, min_lat], - [max_lng, max_lat], - [min_lng, max_lat], - [min_lng, min_lat], - ]]))) + let shape = nodedb_spatial::ops::tile_envelope(zxy[0], zxy[1], zxy[2], &bounds) + .map_err(|e| geometry_fault(function, e.into()))?; + Ok(Value::Geometry(SridGeometry::new(srid, shape))) } #[cfg(test)] mod tests { use super::*; + use nodedb_crs::UnknownSrid; + + fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { + super::eval(canonical, args, &CrsContext::builtin_only()) + } + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } /// The evaluator, with a fault turned into a test failure. fn run(canonical: &'static str, args: &[Value]) -> Option { @@ -293,14 +348,59 @@ mod tests { } #[test] - fn geomfromtext_accepts_wkt_and_geojson() { - let wkt = vec![Value::String("POINT(1 2)".into())]; - let json = vec![Value::String( - r#"{"type":"Point","coordinates":[1.0,2.0]}"#.into(), - )]; + fn makepoint_takes_z_and_m() { + let Some(Value::Geometry(z)) = run( + "st_makepoint", + &[Value::Float(1.0), Value::Float(2.0), Value::Float(3.0)], + ) else { + panic!(); + }; + assert_eq!(z.ordinates().z(), Some(&[3.0][..])); + let Some(Value::Geometry(zm)) = run( + "st_makepoint", + &[ + Value::Float(1.0), + Value::Float(2.0), + Value::Float(3.0), + Value::Float(4.0), + ], + ) else { + panic!(); + }; + assert_eq!(zm.dimension(), Dimension::Xyzm); + let Some(Value::Geometry(m)) = run( + "st_makepointm", + &[Value::Float(1.0), Value::Float(2.0), Value::Float(9.0)], + ) else { + panic!(); + }; + assert_eq!(m.ordinates().m(), Some(&[9.0][..])); + assert_eq!(m.ordinates().z(), None); + } + + #[test] + fn geomfromtext_accepts_wkt_ewkt_and_geojson() { let expected = Some(wgs84(Geometry::point(1.0, 2.0))); - assert_eq!(run("st_geomfromtext", &wkt), expected); - assert_eq!(run("st_geomfromgeojson", &json), expected); + assert_eq!( + run("st_geomfromtext", &[Value::String("POINT(1 2)".into())]), + expected + ); + assert_eq!( + run( + "st_geomfromgeojson", + &[Value::String( + r#"{"type":"Point","coordinates":[1.0,2.0]}"#.into() + )] + ), + expected + ); + assert_eq!( + run( + "st_geomfromtext", + &[Value::String("SRID=32648;POINT(1 2)".into())] + ), + Some(projected(srid(32648), Geometry::point(1.0, 2.0))) + ); } #[test] @@ -308,37 +408,39 @@ mod tests { let args = vec![Value::String("POINT(1 2)".into()), Value::Integer(3375)]; assert_eq!( run("st_geomfromtext", &args), - Some(projected(Srid::PeninsularRso, Geometry::point(1.0, 2.0))) + Some(projected(srid(3375), Geometry::point(1.0, 2.0))) ); } #[test] - fn geomfromtext_unsupported_srid_fails() { - let args = vec![Value::String("POINT(1 2)".into()), Value::Integer(2154)]; + fn geomfromtext_undefined_srid_fails() { + let args = vec![Value::String("POINT(1 2)".into()), Value::Integer(999)]; assert_eq!( eval("st_geomfromtext", &args), - Some(Err(EvalError::UnsupportedSrid { + Some(Err(EvalError::Crs { function: "st_geomfromtext", - srid: 2154 + source: UnknownSrid::Undefined { code: 999 } })) ); } - /// A byte literal and its hex-string spelling must decode identically. + /// Malformed text is a statement error, never NULL. #[test] - fn geomfromwkb_accepts_bytes_and_hex_string() { - // WKB for POINT(1 2): little-endian, type 1, x=1.0, y=2.0. - let hex = "0101000000000000000000F03F0000000000000040"; - let bytes = decode_hex(hex).expect("test vector must decode"); - let from_bytes = run("st_geomfromwkb", &[Value::Bytes(bytes)]); - let from_hex = run("st_geomfromwkb", &[Value::String(hex.into())]); - assert_eq!(from_bytes, from_hex); - assert_eq!(from_bytes, Some(wgs84(Geometry::point(1.0, 2.0)))); + fn malformed_text_fails() { + for text in ["POINT(", "POINT(1 2 3 4 5)", "POINT Z (1 2)"] { + assert!( + matches!( + eval("st_geomfromtext", &[Value::String(text.into())]), + Some(Err(EvalError::Geometry { .. })) + ), + "{text}" + ); + } } #[test] fn geomfromwkb_reads_ewkb_srid_and_explicit_srid_wins() { - let g = SridGeometry::new(Srid::Utm48N, Geometry::point(1.0, 2.0)); + let g = SridGeometry::new(srid(32648), Geometry::point(1.0, 2.0)); let ewkb = nodedb_spatial::geometry_to_ewkb(&g).expect("encode"); assert_eq!( run("st_geomfromwkb", &[Value::Bytes(ewkb.clone())]), @@ -349,59 +451,70 @@ mod tests { "st_geomfromwkb", &[Value::Bytes(ewkb), Value::Integer(3376)] ), - Some(projected(Srid::BorneoRso, Geometry::point(1.0, 2.0))) - ); - } - - #[test] - fn malformed_hex_yields_null() { - assert_eq!( - run("st_geomfromwkb", &[Value::String("zz".into())]), - Some(Value::Null) - ); - assert_eq!( - run("st_geomfromwkb", &[Value::String("010".into())]), - Some(Value::Null) + Some(projected(srid(3376), Geometry::point(1.0, 2.0))) ); } + /// A byte literal and its hex-string spelling must decode identically. #[test] - fn malformed_text_yields_null() { - let bad = vec![Value::String("POINT(".into())]; - assert_eq!(run("st_geomfromtext", &bad), Some(Value::Null)); - } - - /// A dropped vertex would silently shorten the line; the call must fail - /// whole instead. - #[test] - fn makeline_rejects_a_non_point_argument() { - let args = vec![ - wgs84(Geometry::point(0.0, 0.0)), - Value::String("not a geometry".into()), - ]; - assert_eq!(run("st_makeline", &args), Some(Value::Null)); + fn geomfromwkb_accepts_bytes_and_hex_string() { + let hex = "0101000000000000000000F03F0000000000000040"; + let bytes = decode_hex(hex).expect("test vector must decode"); + let from_bytes = run("st_geomfromwkb", &[Value::Bytes(bytes)]); + let from_hex = run("st_geomfromwkb", &[Value::String(hex.into())]); + assert_eq!(from_bytes, from_hex); + assert_eq!(from_bytes, Some(wgs84(Geometry::point(1.0, 2.0)))); } #[test] - fn makeline_needs_at_least_two_points() { - let one = vec![wgs84(Geometry::point(0.0, 0.0))]; - assert_eq!(run("st_makeline", &one), Some(Value::Null)); + fn malformed_wkb_fails() { + assert!(matches!( + eval("st_geomfromwkb", &[Value::String("zz".into())]), + Some(Err(EvalError::ArgumentValue { .. })) + )); + assert!(matches!( + eval("st_geomfromwkb", &[Value::String("0101".into())]), + Some(Err(EvalError::Geometry { .. })) + )); } #[test] - fn makeline_rejects_mixed_srids() { - let args = vec![ - wgs84(Geometry::point(0.0, 0.0)), - projected(Srid::Utm48N, Geometry::point(1.0, 1.0)), - ]; - assert_eq!( - eval("st_makeline", &args), - Some(Err(EvalError::MixedSrid { - function: "st_makeline", - left: 4326, - right: 32648 - })) - ); + fn makeline_keeps_z_and_rejects_mixed_input() { + let pz = |x: f64, z: f64| { + Value::Geometry( + SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(x, 0.0), + Ordinates::new(Some(vec![z]), None), + ) + .unwrap(), + ) + }; + let Some(Value::Geometry(line)) = run("st_makeline", &[pz(0.0, 1.0), pz(1.0, 2.0)]) else { + panic!(); + }; + assert_eq!(line.ordinates().z(), Some(&[1.0, 2.0][..])); + assert!(matches!( + eval( + "st_makeline", + &[pz(0.0, 1.0), wgs84(Geometry::point(1.0, 1.0))] + ), + Some(Err(EvalError::Geometry { .. })) + )); + assert!(matches!( + eval( + "st_makeline", + &[ + wgs84(Geometry::point(0.0, 0.0)), + projected(srid(32648), Geometry::point(1.0, 1.0)) + ] + ), + Some(Err(EvalError::MixedSrid { .. })) + )); + assert!(matches!( + eval("st_makeline", &[wgs84(Geometry::point(0.0, 0.0))]), + Some(Err(EvalError::ArgumentValue { .. })) + )); } #[test] @@ -412,81 +525,47 @@ mod tests { Value::Float(1.0), Value::Float(1.0), ]; - let Some(Value::Geometry(SridGeometry { - geometry: Geometry::Polygon { coordinates }, - .. - })) = run("st_makeenvelope", &args) - else { + let Some(Value::Geometry(g)) = run("st_makeenvelope", &args) else { + panic!("expected a polygon"); + }; + let Geometry::Polygon { coordinates } = g.geometry() else { panic!("expected a polygon"); }; let ring = &coordinates[0]; assert_eq!(ring.first(), ring.last(), "envelope ring must be closed"); } - /// A caller asking for a degenerate segment count must get the default, - /// not a geometry that encloses nothing. - #[test] - fn buffer_segment_count_is_floored() { - let args = vec![ - wgs84(Geometry::point(0.0, 0.0)), - Value::Float(1000.0), - Value::Integer(0), - ]; - let Some(Value::Geometry(SridGeometry { - geometry: Geometry::Polygon { coordinates }, - .. - })) = run("st_buffer", &args) - else { - panic!("expected a buffered polygon"); - }; - assert!( - coordinates[0].len() > 3, - "a zero segment count must fall back to the default" - ); - } - #[test] - fn projected_buffer_is_planar_and_keeps_srid() { - let args = vec![ - projected(Srid::Utm48N, Geometry::point(500_000.0, 100_000.0)), - Value::Float(100.0), - ]; - let Some(Value::Geometry(g)) = run("st_buffer", &args) else { - panic!("expected a geometry"); - }; - assert_eq!(g.srid, Srid::Utm48N); - let Geometry::Polygon { coordinates } = &g.geometry else { - panic!("expected a polygon"); + fn tile_envelope_is_web_mercator() { + let Some(Value::Geometry(g)) = run( + "st_tileenvelope", + &[Value::Integer(0), Value::Integer(0), Value::Integer(0)], + ) else { + panic!(); }; - let [x, y] = coordinates[0][0]; - assert!(((x - 500_000.0).hypot(y - 100_000.0) - 100.0).abs() < 1e-6); - } - - #[test] - fn union_rejects_mixed_srids() { - let args = vec![ - wgs84(Geometry::point(0.0, 0.0)), - projected(Srid::PeninsularRso, Geometry::point(1.0, 1.0)), - ]; + assert_eq!(g.srid, srid(3857)); assert!(matches!( - eval("st_union", &args), - Some(Err(EvalError::MixedSrid { .. })) + eval( + "st_tileenvelope", + &[Value::Integer(1), Value::Integer(5), Value::Integer(0)] + ), + Some(Err(EvalError::Geometry { .. })) )); } #[test] - fn centroid_keeps_srid() { - let args = vec![projected(Srid::BorneoRso, Geometry::point(5.0, 6.0))]; - assert_eq!( - run("st_centroid", &args), - Some(projected(Srid::BorneoRso, Geometry::point(5.0, 6.0))) - ); - } - - #[test] - fn centroid_of_unreadable_geometry_is_null() { - let bad = vec![Value::String("not a geometry".into())]; - assert_eq!(run("st_centroid", &bad), Some(Value::Null)); + fn circle_is_geodesic() { + let Some(Value::Geometry(g)) = run( + "geo_circle", + &[Value::Float(0.0), Value::Float(0.0), Value::Float(1000.0)], + ) else { + panic!(); + }; + let m = nodedb_spatial::Metric::wgs84(); + for c in g.geometry().coords() { + let d = m.segment_length([0.0, 0.0], c); + assert!((d - 1000.0).abs() < 10.0, "{d}"); + } } #[test] diff --git a/nodedb-query/src/geo_functions/crs.rs b/nodedb-query/src/geo_functions/crs.rs index 825c4417a..cff094a01 100644 --- a/nodedb-query/src/geo_functions/crs.rs +++ b/nodedb-query/src/geo_functions/crs.rs @@ -1,35 +1,43 @@ // SPDX-License-Identifier: Apache-2.0 //! Spatial reference system functions: read, set, and transform a -//! geometry's SRID. +//! geometry's SRID, and shift its longitudes across the antimeridian. -use nodedb_spatial::CrsError; +use nodedb_crs::{CoordinateEpoch, CrsContext}; use nodedb_types::Value; -use super::helpers::{GeoEval, SridArg, geom_arg, srid_arg}; +use super::helpers::{GeoEval, SridArg, finite_arg, geom_arg, srid_arg}; use crate::expr::EvalError; -pub(super) fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { let result = match canonical { - "st_srid" => Ok(match geom_arg(args, 0) { + "st_srid" => geom_arg(args, 0, canonical, ctx).map(|g| match g { Some(g) => Value::Integer(i64::from(g.srid.code())), None => Value::Null, }), - "st_setsrid" => set_srid(canonical, args), - "st_transform" => transform(canonical, args), + "st_setsrid" => set_srid(canonical, args, ctx), + "st_transform" => transform(canonical, args, ctx), + "st_shiftlongitude" => geom_arg(args, 0, canonical, ctx).map(|g| match g { + Some(g) => Value::Geometry(nodedb_spatial::ops::shift_longitude(&g)), + None => Value::Null, + }), _ => return None, }; Some(result) } /// `ST_SetSRID(geom, srid)`: relabel the geometry's SRID. Coordinates are -/// kept as they are. -fn set_srid(function: &'static str, args: &[Value]) -> Result { - let srid = match srid_arg(args, 1, function)? { +/// kept as they are. The SRID must be defined. +fn set_srid( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let srid = match srid_arg(args, 1, function, ctx)? { SridArg::Srid(srid) => srid, SridArg::Absent | SridArg::Null => return Ok(Value::Null), }; - Ok(match geom_arg(args, 0) { + Ok(match geom_arg(args, 0, function, ctx)? { Some(mut g) => { g.srid = srid; Value::Geometry(g) @@ -38,118 +46,277 @@ fn set_srid(function: &'static str, args: &[Value]) -> Result }) } -/// `ST_Transform(geom, srid)`: reproject every coordinate into `srid`. -fn transform(function: &'static str, args: &[Value]) -> Result { - let target = match srid_arg(args, 1, function)? { +/// Position of the optional coordinate-epoch argument of `ST_Transform`. +const EPOCH_ARG: usize = 2; + +/// `ST_Transform(geom, srid [, epoch])`: reproject every coordinate into +/// `srid`. Z is ellipsoidal height and goes through the datum shift. M +/// passes through. +/// +/// `epoch` is the coordinate epoch as a decimal year in 1900..=2200. A +/// time-dependent datum shift takes its parameters at that epoch. Without +/// it, each shift runs at its own parameter reference epoch. A NULL epoch +/// gives NULL. +fn transform( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let target = match srid_arg(args, 1, function, ctx)? { SridArg::Srid(srid) => srid, SridArg::Absent | SridArg::Null => return Ok(Value::Null), }; - let Some(g) = geom_arg(args, 0) else { + let epoch = match epoch_arg(args, function)? { + EpochArg::Absent => None, + EpochArg::Null => return Ok(Value::Null), + EpochArg::Epoch(epoch) => Some(epoch), + }; + let Some(g) = geom_arg(args, 0, function, ctx)? else { return Ok(Value::Null); }; - nodedb_spatial::transform_geometry(&g, target) - .map(Value::Geometry) - .map_err(|e| projection_fault(function, e)) + let out = match epoch { + None => nodedb_spatial::transform_geometry(&g, target, ctx), + Some(epoch) => nodedb_spatial::transform_geometry_at(&g, target, epoch, ctx), + }; + out.map(Value::Geometry) + .map_err(|e| EvalError::from_crs(function, e)) +} + +/// The optional coordinate-epoch argument of `ST_Transform`. +enum EpochArg { + Absent, + Null, + Epoch(CoordinateEpoch), } -/// A projection that cannot map a coordinate fails the statement. -pub(super) fn projection_fault(function: &'static str, e: CrsError) -> EvalError { - EvalError::ProjectionDomain { - function, - srid: e.srid().code(), +/// Read the epoch argument. A non-number fails with +/// [`EvalError::ArgumentType`]. A non-finite or out-of-range year fails +/// with [`EvalError::ArgumentValue`]. +fn epoch_arg(args: &[Value], function: &'static str) -> Result { + if args.get(EPOCH_ARG).is_none() { + return Ok(EpochArg::Absent); } + let Some(year) = finite_arg(args, EPOCH_ARG, function)? else { + return Ok(EpochArg::Null); + }; + CoordinateEpoch::new(year) + .map(EpochArg::Epoch) + .map_err(|e| EvalError::ArgumentValue { + function, + position: EPOCH_ARG + 1, + reason: format!("is out of range: {e}"), + }) } #[cfg(test)] mod tests { use super::*; + use nodedb_crs::{CrsError, UnknownSrid}; use nodedb_types::geometry::{Geometry, Srid, SridGeometry}; + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + fn point(srid: Srid, x: f64, y: f64) -> Value { Value::Geometry(SridGeometry::new(srid, Geometry::point(x, y))) } + fn run(canonical: &'static str, args: &[Value]) -> GeoEval { + eval(canonical, args, &CrsContext::builtin_only()) + } + #[test] fn srid_reads_the_geometry_srid() { assert_eq!( - eval("st_srid", &[point(Srid::Wgs84, 0.0, 0.0)]), + run("st_srid", &[point(Srid::WGS84, 0.0, 0.0)]), Some(Ok(Value::Integer(4326))) ); assert_eq!( - eval("st_srid", &[point(Srid::BorneoRso, 0.0, 0.0)]), + run("st_srid", &[point(srid(3376), 0.0, 0.0)]), Some(Ok(Value::Integer(3376))) ); - assert_eq!( - eval("st_srid", &[Value::String("not a geometry".into())]), - Some(Ok(Value::Null)) - ); + assert!(matches!( + run("st_srid", &[Value::String("not a geometry".into())]), + Some(Err(EvalError::Geometry { .. })) + )); } #[test] fn setsrid_relabels_without_moving() { - let got = eval( + let got = run( "st_setsrid", - &[point(Srid::Wgs84, 1.0, 2.0), Value::Integer(32648)], + &[point(Srid::WGS84, 1.0, 2.0), Value::Integer(4742)], ); - assert_eq!(got, Some(Ok(point(Srid::Utm48N, 1.0, 2.0)))); + assert_eq!(got, Some(Ok(point(srid(4742), 1.0, 2.0)))); } + /// PROJ 9.8.1 reference: EPSG:4326 (99.828, 3.975) to EPSG:32647. + const UTM47_X: f64 = 591_918.695_587_182_4; + const UTM47_Y: f64 = 439_410.048_656_111_64; + #[test] - fn transform_projects_klcc_into_utm47n() { - let Some(Ok(Value::Geometry(g))) = eval( + fn transform_matches_proj_for_utm47n() { + let Some(Ok(Value::Geometry(g))) = run( "st_transform", - &[point(Srid::Wgs84, 101.7117, 3.1579), Value::Integer(32647)], + &[point(Srid::WGS84, 99.828, 3.975), Value::Integer(32647)], ) else { panic!("expected a geometry"); }; - assert_eq!(g.srid, Srid::Utm47N); - let Geometry::Point { coordinates } = g.geometry else { + assert_eq!(g.srid, srid(32647)); + let Geometry::Point { coordinates } = *g.geometry() else { panic!("expected a point"); }; - assert!((coordinates[0] - 801_401.794_9).abs() < 1e-3); - assert!((coordinates[1] - 349_439.510_6).abs() < 1e-3); + assert!((coordinates[0] - UTM47_X).abs() < 1e-3, "{coordinates:?}"); + assert!((coordinates[1] - UTM47_Y).abs() < 1e-3, "{coordinates:?}"); } + fn coords(v: Value) -> [f64; 2] { + let Value::Geometry(g) = v else { + panic!("expected a geometry"); + }; + let Geometry::Point { coordinates } = *g.geometry() else { + panic!("expected a point"); + }; + coordinates + } + + /// An epoch changes nothing on a static datum shift: EPSG:4742 to + /// EPSG:32647 gives the same point with and without it. #[test] - fn transform_to_unsupported_srid_names_every_supported_code() { - let Some(Err(err)) = eval( + fn transform_with_epoch_matches_without_for_static_shifts() { + let input = point(srid(4742), 99.828, 3.975); + let plain = run("st_transform", &[input.clone(), Value::Integer(32647)]); + let at = run( "st_transform", - &[point(Srid::Wgs84, 101.7, 3.1), Value::Integer(2154)], - ) else { + &[input, Value::Integer(32647), Value::Float(2025.5)], + ); + let (Some(Ok(plain)), Some(Ok(at))) = (plain, at) else { + panic!("expected two geometries"); + }; + assert_eq!(coords(plain), coords(at)); + } + + #[test] + fn transform_epoch_out_of_range_is_an_argument_fault() { + for epoch in [ + Value::Float(1899.5), + Value::Integer(2201), + Value::Float(f64::NAN), + ] { + let got = run( + "st_transform", + &[ + point(Srid::WGS84, 99.828, 3.975), + Value::Integer(32647), + epoch, + ], + ); + assert!( + matches!( + got, + Some(Err(EvalError::ArgumentValue { + function: "st_transform", + position: 3, + .. + })) + ), + "{got:?}" + ); + } + let got = run( + "st_transform", + &[ + point(Srid::WGS84, 99.828, 3.975), + Value::Integer(32647), + Value::String("soon".into()), + ], + ); + assert!(matches!( + got, + Some(Err(EvalError::ArgumentType { position: 3, .. })) + )); + } + + #[test] + fn transform_null_epoch_yields_null() { + let got = run( + "st_transform", + &[ + point(Srid::WGS84, 99.828, 3.975), + Value::Integer(32647), + Value::Null, + ], + ); + assert_eq!(got, Some(Ok(Value::Null))); + } + + #[test] + fn transform_keeps_z_and_m() { + use nodedb_types::geometry::Ordinates; + let g = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(99.828, 3.975), + Ordinates::new(Some(vec![50.0]), Some(vec![7.0])), + ) + .unwrap(); + let Some(Ok(Value::Geometry(out))) = + run("st_transform", &[Value::Geometry(g), Value::Integer(32647)]) + else { + panic!("expected a geometry"); + }; + assert_eq!(out.ordinates().z(), Some(&[50.0][..])); + assert_eq!(out.ordinates().m(), Some(&[7.0][..])); + } + + #[test] + fn shift_longitude_moves_negative_longitudes() { + let Some(Ok(Value::Geometry(out))) = + run("st_shiftlongitude", &[point(Srid::WGS84, -170.0, 1.0)]) + else { + panic!(); + }; + assert_eq!(out.geometry(), &Geometry::point(190.0, 1.0)); + } + + #[test] + fn transform_to_undefined_srid_fails() { + let got = run( + "st_transform", + &[point(Srid::WGS84, 101.7, 3.1), Value::Integer(999)], + ); + let Some(Err(err)) = got else { panic!("expected an error"); }; assert_eq!( err, - EvalError::UnsupportedSrid { + EvalError::Crs { function: "st_transform", - srid: 2154 + source: UnknownSrid::Undefined { code: 999 } } ); - let text = err.to_string(); - for code in ["4326", "32647", "32648", "3375", "3376"] { - assert!(text.contains(code), "{text}"); - } + assert!(err.to_string().contains("999"), "{err}"); } #[test] - fn transform_out_of_domain_is_a_projection_fault() { - let got = eval( + fn transform_out_of_domain_is_a_transform_fault() { + let got = run( "st_transform", - &[point(Srid::Wgs84, 179.0, 3.0), Value::Integer(32648)], + &[point(Srid::WGS84, 179.0, 3.0), Value::Integer(32648)], ); - assert_eq!( + assert!(matches!( got, - Some(Err(EvalError::ProjectionDomain { + Some(Err(EvalError::Transform { function: "st_transform", - srid: 32648 + source: CrsError::OutOfDomain { .. } })) - ); + )); } #[test] fn null_srid_yields_null() { assert_eq!( - eval("st_setsrid", &[point(Srid::Wgs84, 1.0, 2.0), Value::Null]), + run("st_setsrid", &[point(Srid::WGS84, 1.0, 2.0), Value::Null]), Some(Ok(Value::Null)) ); } diff --git a/nodedb-query/src/geo_functions/dispatch.rs b/nodedb-query/src/geo_functions/dispatch.rs index a1ee8935c..95f4acb3f 100644 --- a/nodedb-query/src/geo_functions/dispatch.rs +++ b/nodedb-query/src/geo_functions/dispatch.rs @@ -2,10 +2,13 @@ //! Entry point for geospatial function evaluation. +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::catalog; -use super::{accessors, constructors, crs, indexing, measures, predicates}; +use super::{ + accessors, constructors, crs, encode, indexing, linear, measures, overlay, predicates, +}; use crate::expr::EvalError; /// Evaluate a geospatial function. @@ -16,11 +19,15 @@ use crate::expr::EvalError; /// /// Returns `None` only when `name` is not a geospatial function at all, so the /// caller can fall through to its own function table. `Some(Err(_))` is a -/// fault that fails the statement: an unsupported SRID, operands in different -/// SRIDs, or a coordinate outside a projection's domain. -pub fn eval_geo_function(name: &str, args: &[Value]) -> Option> { +/// fault that fails the statement: an SRID `ctx` does not define, operands +/// in different SRIDs, or a coordinate outside a projection's domain. +pub fn eval_geo_function( + name: &str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Option> { let spec = catalog::lookup(name)?; - eval_canonical(spec.canonical, args) + eval_canonical(spec.canonical, args, ctx) } /// Route a canonical name to its family evaluator. @@ -28,12 +35,19 @@ pub fn eval_geo_function(name: &str, args: &[Value]) -> Option Option> { - predicates::eval(canonical, args) - .or_else(|| measures::eval(canonical, args)) - .or_else(|| accessors::eval(canonical, args)) - .or_else(|| crs::eval(canonical, args)) - .or_else(|| constructors::eval(canonical, args)) +fn eval_canonical( + canonical: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Option> { + predicates::eval(canonical, args, ctx) + .or_else(|| measures::eval(canonical, args, ctx)) + .or_else(|| accessors::eval(canonical, args, ctx)) + .or_else(|| encode::eval(canonical, args, ctx)) + .or_else(|| crs::eval(canonical, args, ctx)) + .or_else(|| constructors::eval(canonical, args, ctx)) + .or_else(|| overlay::eval(canonical, args, ctx)) + .or_else(|| linear::eval(canonical, args, ctx)) .or_else(|| indexing::eval(canonical, args)) } @@ -42,6 +56,10 @@ mod tests { use super::*; use nodedb_types::geometry::{Geometry, SridGeometry}; + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } + /// Arguments that satisfy any catalog shape: enough geometry-shaped and /// number-shaped values that no evaluator indexes past the end. fn probe_args() -> Vec { @@ -61,7 +79,7 @@ mod tests { fn every_catalog_entry_is_evaluable() { for spec in catalog::GEO_FUNCTIONS { assert!( - eval_canonical(spec.canonical, &probe_args()).is_some(), + eval_canonical(spec.canonical, &probe_args(), &ctx()).is_some(), "catalog declares '{}' but no evaluator handles it", spec.canonical ); @@ -73,10 +91,10 @@ mod tests { #[test] fn every_alias_evaluates_identically_to_its_canonical_name() { for spec in catalog::GEO_FUNCTIONS { - let canonical = eval_geo_function(spec.canonical, &probe_args()); + let canonical = eval_geo_function(spec.canonical, &probe_args(), &ctx()); for alias in spec.aliases { assert_eq!( - eval_geo_function(alias, &probe_args()), + eval_geo_function(alias, &probe_args(), &ctx()), canonical, "'{alias}' must behave exactly like '{}'", spec.canonical @@ -90,14 +108,14 @@ mod tests { fn dispatch_is_case_insensitive() { let args = probe_args(); assert_eq!( - eval_geo_function("ST_AsText", &args), - eval_geo_function("st_astext", &args) + eval_geo_function("ST_AsText", &args, &ctx()), + eval_geo_function("st_astext", &args, &ctx()) ); } #[test] fn non_geo_function_falls_through() { - assert_eq!(eval_geo_function("lower", &probe_args()), None); + assert_eq!(eval_geo_function("lower", &probe_args(), &ctx()), None); } /// The reported bug in one line: the standard accessor spelling must read @@ -109,15 +127,15 @@ mod tests { 1.0, 2.0, )))]; assert_eq!( - eval_geo_function("st_x", &point), + eval_geo_function("st_x", &point, &ctx()), Some(Ok(to_value_number(1.0))) ); assert_eq!( - eval_geo_function("st_y", &point), + eval_geo_function("st_y", &point, &ctx()), Some(Ok(to_value_number(2.0))) ); assert!(matches!( - eval_geo_function("st_astext", &point), + eval_geo_function("st_astext", &point, &ctx()), Some(Ok(Value::String(_))) )); } @@ -126,16 +144,17 @@ mod tests { #[test] fn setsrid_then_srid_round_trips() { let Some(Ok(point)) = - eval_geo_function("st_point", &[Value::Float(1.0), Value::Float(2.0)]) + eval_geo_function("st_point", &[Value::Float(1.0), Value::Float(2.0)], &ctx()) else { panic!("expected a point"); }; - let Some(Ok(tagged)) = eval_geo_function("ST_SetSRID", &[point, Value::Integer(32648)]) + let Some(Ok(tagged)) = + eval_geo_function("ST_SetSRID", &[point, Value::Integer(32648)], &ctx()) else { panic!("expected a geometry"); }; assert_eq!( - eval_geo_function("ST_SRID", &[tagged]), + eval_geo_function("ST_SRID", &[tagged], &ctx()), Some(Ok(Value::Integer(32648))) ); } diff --git a/nodedb-query/src/geo_functions/encode.rs b/nodedb-query/src/geo_functions/encode.rs new file mode 100644 index 000000000..2c3fb7536 --- /dev/null +++ b/nodedb-query/src/geo_functions/encode.rs @@ -0,0 +1,153 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geometry encodings: WKT, EWKT, GeoJSON, WKB and EWKB. + +use nodedb_crs::CrsContext; +use nodedb_spatial::ByteOrder; +use nodedb_types::Value; + +use super::helpers::{GeoEval, geom_arg, geometry_fault, str_arg}; +use crate::expr::EvalError; + +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { + let result = + match canonical { + // WKT stays plain: it has no SRID slot. + "st_astext" => text(canonical, args, ctx, nodedb_spatial::geometry_to_wkt), + "st_asewkt" => text(canonical, args, ctx, nodedb_spatial::geometry_to_ewkt), + // GeoJSON carries the `crs` member for any SRID other than 4326, + // Z as a third number, and no M. + "st_asgeojson" => geom_arg(args, 0, canonical, ctx).and_then(|g| match g { + Some(g) => sonic_rs::to_string(&g).map(Value::String).map_err(|e| { + EvalError::ArgumentValue { + function: canonical, + position: 1, + reason: format!("does not encode as GeoJSON: {e}"), + } + }), + None => Ok(Value::Null), + }), + "st_asbinary" => binary( + canonical, + args, + ctx, + nodedb_spatial::geometry_to_wkb_ordered, + ), + "st_asewkb" => binary( + canonical, + args, + ctx, + nodedb_spatial::geometry_to_ewkb_ordered, + ), + _ => return None, + }; + Some(result) +} + +fn text( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: fn(&nodedb_types::geometry::SridGeometry) -> String, +) -> Result { + Ok(match geom_arg(args, 0, function, ctx)? { + Some(g) => Value::String(f(&g)), + None => Value::Null, + }) +} + +type Encoder = fn( + &nodedb_types::geometry::SridGeometry, + ByteOrder, +) -> Result, nodedb_spatial::WkbError>; + +/// `ST_AsBinary(geom [, 'NDR' | 'XDR'])`: little-endian unless `'XDR'`. +fn binary( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + encode: Encoder, +) -> Result { + let order = match str_arg(args, 1) { + None => ByteOrder::LittleEndian, + Some(s) if s.eq_ignore_ascii_case("NDR") => ByteOrder::LittleEndian, + Some(s) if s.eq_ignore_ascii_case("XDR") => ByteOrder::BigEndian, + Some(_) => { + return Err(EvalError::ArgumentValue { + function, + position: 2, + reason: "must be 'NDR' or 'XDR'".into(), + }); + } + }; + let Some(g) = geom_arg(args, 0, function, ctx)? else { + return Ok(Value::Null); + }; + encode(&g, order) + .map(Value::Bytes) + .map_err(|e| geometry_fault(function, e.into())) +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::{Geometry, Ordinates, Srid, SridGeometry}; + + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } + + fn run(canonical: &'static str, args: &[Value]) -> Value { + eval(canonical, args, &ctx()) + .expect("geo name") + .expect("no fault expected") + } + + fn zm() -> Value { + Value::Geometry( + SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(), + ) + } + + #[test] + fn text_forms_carry_z_and_m() { + assert_eq!( + run("st_astext", &[zm()]), + Value::String("POINT ZM (1 2 3 4)".into()) + ); + assert_eq!( + run("st_asewkt", &[zm()]), + Value::String("SRID=32648;POINT ZM (1 2 3 4)".into()) + ); + let Value::String(json) = run("st_asgeojson", &[zm()]) else { + panic!(); + }; + assert!(json.contains("[1.0,2.0,3.0]"), "{json}"); + } + + #[test] + fn binary_forms_round_trip() { + let Value::Bytes(wkb) = run("st_asbinary", &[zm()]) else { + panic!(); + }; + assert_eq!(u32::from_le_bytes(wkb[1..5].try_into().unwrap()), 3001); + let Value::Bytes(be) = run("st_asbinary", &[zm(), Value::String("XDR".into())]) else { + panic!(); + }; + assert_eq!(be[0], 0); + let Value::Bytes(ewkb) = run("st_asewkb", &[zm()]) else { + panic!(); + }; + let back = nodedb_spatial::geometry_from_wkb(&ewkb).unwrap(); + assert_eq!(back.srid, Some(32648)); + assert!(matches!( + eval("st_asbinary", &[zm(), Value::String("bad".into())], &ctx()), + Some(Err(EvalError::ArgumentValue { .. })) + )); + } +} diff --git a/nodedb-query/src/geo_functions/helpers.rs b/nodedb-query/src/geo_functions/helpers.rs index 06c7687e1..6f5574ff7 100644 --- a/nodedb-query/src/geo_functions/helpers.rs +++ b/nodedb-query/src/geo_functions/helpers.rs @@ -4,8 +4,10 @@ use crate::expr::EvalError; use crate::value_ops::value_to_f64; -use nodedb_types::Value; -use nodedb_types::geometry::{GeoJsonError, Srid, SridGeometry, parse_geojson}; +use nodedb_crs::CrsContext; +use nodedb_spatial::{Metric, SpatialError, SridCheck}; +use nodedb_types::geometry::{GeoJsonError, Srid, SridGeometry, geojson_object}; +use nodedb_types::{BboxSpace, Value}; /// What a geo family evaluator returns: `None` when the canonical name is /// not its own, else the call's value or the fault that fails the statement. @@ -19,47 +21,137 @@ pub(super) fn num_arg(args: &[Value], idx: usize) -> Option { args.get(idx).and_then(|v| value_to_f64(v, true)) } +/// A numeric argument that must be present and finite. NULL gives +/// `Ok(None)`. A non-number fails with [`EvalError::ArgumentType`]. +pub(super) fn finite_arg( + args: &[Value], + idx: usize, + function: &'static str, +) -> Result, EvalError> { + match args.get(idx) { + None | Some(Value::Null) => Ok(None), + Some(v) => match value_to_f64(v, true) { + Some(n) if n.is_finite() => Ok(Some(n)), + Some(_) => Err(EvalError::ArgumentValue { + function, + position: idx + 1, + reason: "must be a finite number".into(), + }), + None => Err(EvalError::ArgumentType { + function, + position: idx + 1, + expected: "a number", + got: v.type_name(), + }), + }, + } +} + +/// The fault a geometry parse or operation in `function` raises. +pub(super) fn geometry_fault(function: &'static str, source: SpatialError) -> EvalError { + match source { + SpatialError::Srid(source) => EvalError::Crs { function, source }, + SpatialError::GeoJson(GeoJsonError::Srid(source)) => EvalError::Crs { function, source }, + SpatialError::Crs(e) => EvalError::from_crs(function, e), + source => EvalError::Geometry { function, source }, + } +} + /// Extract a geometry argument. /// -/// Accepts every representation geometry takes on its way through the system: -/// a native `Value::Geometry`, a GeoJSON object decoded from a document, a -/// GeoJSON string (the form a constant-folded geometry is stored and passed -/// as), and a WKT string. Accepting WKT here is what makes a bare -/// `'POINT(1 2)'` literal usable wherever a geometry is expected, matching -/// PostGIS's treatment of an unknown-typed literal in geometry position. -/// GeoJSON keeps the SRID its `crs` member names. WKT is WGS 84. -pub(super) fn geom_arg(args: &[Value], idx: usize) -> Option { - match args.get(idx)? { - Value::Geometry(g) => Some(g.clone()), - Value::String(s) => geometry_from_text(s), - obj @ Value::Object(_) => SridGeometry::from_value(obj), - _ => None, +/// Accepts every representation geometry takes on its way through the +/// system: a native `Value::Geometry`, a GeoJSON object decoded from a +/// document, text (GeoJSON, EWKT, WKT or hex EWKB, matching PostGIS's +/// treatment of an unknown-typed literal in geometry position), and WKB / +/// EWKB bytes. GeoJSON and EWKT keep the SRID they name. WKT and ISO WKB +/// are WGS 84. +/// +/// SQL NULL and an object that is not GeoJSON give `Ok(None)`. Text or +/// bytes that do not parse fail with [`EvalError::Geometry`]. An SRID `ctx` +/// does not define fails with [`EvalError::Crs`]. +pub(super) fn geom_arg( + args: &[Value], + idx: usize, + function: &'static str, + ctx: &CrsContext<'_>, +) -> Result, EvalError> { + match args.get(idx) { + Some(Value::Geometry(g)) => Ok(Some(g.clone())), + Some(Value::String(s)) => text_geometry(function, s, ctx).map(Some), + Some(Value::Bytes(b)) => nodedb_spatial::geometry_from_bytes(b, SridCheck::Resolve(ctx)) + .map(Some) + .map_err(|e| geometry_fault(function, e)), + Some(obj @ Value::Object(_)) => match geojson_object(obj, ctx) { + Ok(g) => Ok(Some(g)), + Err(GeoJsonError::NotGeometry) => Ok(None), + Err(GeoJsonError::Srid(source)) => Err(EvalError::Crs { function, source }), + Err(e) => Err(EvalError::Geometry { + function, + source: SpatialError::GeoJson(e), + }), + }, + _ => Ok(None), } } -/// Parse a textual geometry: GeoJSON first, then WKT. -/// -/// The two are unambiguous — GeoJSON always starts with `{`, WKT with a type -/// keyword — so trying them in order cannot misread one as the other. -pub fn geometry_from_text(text: &str) -> Option { - parse_text_geometry(text).ok() -} - -/// [`geometry_from_text`] that reports why a text is not a geometry. A -/// GeoJSON `crs` naming an unsupported SRID gives -/// [`GeoJsonError::UnsupportedSrid`]. Any other unreadable text gives -/// [`GeoJsonError::Malformed`]. -pub(super) fn parse_text_geometry(text: &str) -> Result { - let trimmed = text.trim(); - if trimmed.starts_with('{') { - parse_geojson(trimmed) - } else { - nodedb_spatial::geometry_from_wkt(trimmed) - .map(SridGeometry::wgs84) - .ok_or(GeoJsonError::Malformed) +/// Two geometry arguments at positions 0 and 1. `None` when either is not +/// a geometry. +pub(super) fn geom_pair( + args: &[Value], + function: &'static str, + ctx: &CrsContext<'_>, +) -> Result, EvalError> { + let a = geom_arg(args, 0, function, ctx)?; + let b = geom_arg(args, 1, function, ctx)?; + Ok(a.zip(b)) +} + +/// The value `f` gives for the geometry at position 0. A missing geometry +/// is NULL. +pub(super) fn unary( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: impl FnOnce(&SridGeometry) -> Result, +) -> Result { + match geom_arg(args, 0, function, ctx)? { + Some(g) => f(&g), + None => Ok(Value::Null), } } +/// The value `f` gives for the geometries at positions 0 and 1. A missing +/// geometry is NULL. Two SRIDs fail with `EvalError::MixedSrid`. +pub(super) fn pair( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: impl FnOnce(&SridGeometry, &SridGeometry) -> Result, +) -> Result { + let Some((a, b)) = geom_pair(args, function, ctx)? else { + return Ok(Value::Null); + }; + same_srid(function, &a, &b)?; + f(&a, &b) +} + +/// Parse a textual geometry: GeoJSON, EWKT, WKT or hex EWKB. `None` for +/// text that is not a geometry or names an SRID `ctx` does not define. +pub fn geometry_from_text(text: &str, ctx: &CrsContext<'_>) -> Option { + nodedb_spatial::geometry_from_text(text, SridCheck::Resolve(ctx)).ok() +} + +/// A textual geometry argument. Text that does not parse fails the +/// statement. +pub(super) fn text_geometry( + function: &'static str, + text: &str, + ctx: &CrsContext<'_>, +) -> Result { + nodedb_spatial::geometry_from_text(text, SridCheck::Resolve(ctx)) + .map_err(|e| geometry_fault(function, e)) +} + /// An optional SRID argument. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub(super) enum SridArg { @@ -73,13 +165,14 @@ pub(super) enum SridArg { /// Read the SRID argument at `idx`. /// /// An integer, an integral float, or integer text resolves through -/// [`Srid::from_code`]. A code outside the supported set fails with -/// [`EvalError::UnsupportedSrid`]. A value of any other kind fails with +/// [`CrsContext::resolve_code`]. A code no CRS defines fails with +/// [`EvalError::Crs`]. A value of any other kind fails with /// [`EvalError::ArgumentType`]. pub(super) fn srid_arg( args: &[Value], idx: usize, function: &'static str, + ctx: &CrsContext<'_>, ) -> Result { let Some(value) = args.get(idx) else { return Ok(SridArg::Absent); @@ -99,12 +192,9 @@ pub(super) fn srid_arg( got: value.type_name(), }); }; - Srid::from_code(code) + ctx.resolve_code(code) .map(SridArg::Srid) - .map_err(|e| EvalError::UnsupportedSrid { - function, - srid: e.code, - }) + .map_err(|source| EvalError::Crs { function, source }) } /// The shared SRID of two operands, or [`EvalError::MixedSrid`]. @@ -124,27 +214,44 @@ pub(super) fn same_srid( } } -/// Map a GeoJSON parse fault: an unsupported SRID fails the statement, -/// anything else is an unreadable argument and yields NULL. -pub(super) fn text_fault(function: &'static str, e: GeoJsonError) -> Result { - match e { - GeoJsonError::UnsupportedSrid(u) => Err(EvalError::UnsupportedSrid { - function, - srid: u.code, - }), - GeoJsonError::Malformed | GeoJsonError::UnknownCrsName { .. } => Ok(Value::Null), - } +/// The coordinate space of `srid`: geographic degrees or planar units. +/// An SRID `ctx` does not define fails with [`EvalError::Crs`]. +pub(super) fn space_of( + function: &'static str, + srid: Srid, + ctx: &CrsContext<'_>, +) -> Result { + BboxSpace::of(ctx, srid).map_err(|source| EvalError::Crs { function, source }) +} + +/// The measure basis of `srid`: geodesic on its ellipsoid or planar in its +/// unit. An SRID `ctx` does not define fails with [`EvalError::Crs`]. +pub(super) fn metric_of( + function: &'static str, + srid: Srid, + ctx: &CrsContext<'_>, +) -> Result { + Metric::resolve(ctx, srid).map_err(|source| EvalError::Crs { function, source }) } #[cfg(test)] mod tests { use super::*; + use nodedb_crs::UnknownSrid; use nodedb_types::geometry::Geometry; + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + #[test] fn geojson_and_wkt_strings_both_parse() { - let geojson = geometry_from_text(r#"{"type":"Point","coordinates":[1.0,2.0]}"#); - let wkt = geometry_from_text("POINT(1 2)"); + let geojson = geometry_from_text(r#"{"type":"Point","coordinates":[1.0,2.0]}"#, &ctx()); + let wkt = geometry_from_text("POINT(1 2)", &ctx()); assert_eq!(geojson, wkt); assert_eq!( geojson, @@ -156,49 +263,95 @@ mod tests { fn geojson_crs_member_sets_srid() { let g = geometry_from_text( r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"name","properties":{"name":"EPSG:3375"}}}"#, + &ctx(), + ); + assert_eq!(g.map(|g| g.srid), Some(srid(3375))); + } + + #[test] + fn geojson_crs_member_with_an_undefined_srid_fails() { + let text = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"name","properties":{"name":"EPSG:999"}}}"#; + assert_eq!( + geom_arg(&[Value::String(text.into())], 0, "st_x", &ctx()), + Err(EvalError::Crs { + function: "st_x", + source: UnknownSrid::Undefined { code: 999 } + }) ); - assert_eq!(g.map(|g| g.srid), Some(Srid::PeninsularRso)); } #[test] fn surrounding_whitespace_does_not_defeat_parsing() { - assert!(geometry_from_text(" POINT(1 2) ").is_some()); - assert!(geometry_from_text(" {\"type\":\"Point\",\"coordinates\":[1,2]} ").is_some()); + assert!(geometry_from_text(" POINT(1 2) ", &ctx()).is_some()); + assert!( + geometry_from_text(" {\"type\":\"Point\",\"coordinates\":[1,2]} ", &ctx()).is_some() + ); + } + + /// Text in geometry position that does not parse fails the statement. + #[test] + fn unparseable_text_is_a_statement_error() { + assert!(matches!( + geom_arg(&[Value::String("not a geometry".into())], 0, "st_x", &ctx()), + Err(EvalError::Geometry { + function: "st_x", + .. + }) + )); + assert!(matches!( + geom_arg( + &[Value::String("POINT(1 2 3 4 5)".into())], + 0, + "st_x", + &ctx() + ), + Err(EvalError::Geometry { .. }) + )); + assert_eq!(geom_arg(&[Value::Null], 0, "st_x", &ctx()), Ok(None)); } #[test] - fn non_geometry_text_is_rejected() { - assert!(geometry_from_text("not a geometry").is_none()); - assert!(geometry_from_text("").is_none()); + fn wkb_bytes_are_a_geometry() { + let wkb = nodedb_spatial::geometry_to_wkb(&SridGeometry::wgs84(Geometry::point(1.0, 2.0))) + .unwrap(); + assert_eq!( + geom_arg(&[Value::Bytes(wkb)], 0, "st_x", &ctx()), + Ok(Some(SridGeometry::wgs84(Geometry::point(1.0, 2.0)))) + ); } #[test] fn srid_arg_forms() { let f = "st_setsrid"; + let ctx = ctx(); let args = [ Value::Integer(32648), Value::Float(3375.0), - Value::String("3376".into()), + Value::String("4742".into()), Value::Null, ]; - assert_eq!(srid_arg(&args, 0, f), Ok(SridArg::Srid(Srid::Utm48N))); - assert_eq!( - srid_arg(&args, 1, f), - Ok(SridArg::Srid(Srid::PeninsularRso)) - ); - assert_eq!(srid_arg(&args, 2, f), Ok(SridArg::Srid(Srid::BorneoRso))); - assert_eq!(srid_arg(&args, 3, f), Ok(SridArg::Null)); - assert_eq!(srid_arg(&args, 4, f), Ok(SridArg::Absent)); + assert_eq!(srid_arg(&args, 0, f, &ctx), Ok(SridArg::Srid(srid(32648)))); + assert_eq!(srid_arg(&args, 1, f, &ctx), Ok(SridArg::Srid(srid(3375)))); + assert_eq!(srid_arg(&args, 2, f, &ctx), Ok(SridArg::Srid(srid(4742)))); + assert_eq!(srid_arg(&args, 3, f, &ctx), Ok(SridArg::Null)); + assert_eq!(srid_arg(&args, 4, f, &ctx), Ok(SridArg::Absent)); assert_eq!( - srid_arg(&[Value::Integer(2154)], 0, f), - Err(EvalError::UnsupportedSrid { + srid_arg(&[Value::Integer(999)], 0, f, &ctx), + Err(EvalError::Crs { function: f, - srid: 2154 + source: UnknownSrid::Undefined { code: 999 } }) ); assert!(matches!( - srid_arg(&[Value::Bool(true)], 0, f), + srid_arg(&[Value::Bool(true)], 0, f, &ctx), Err(EvalError::ArgumentType { .. }) )); } + + #[test] + fn space_follows_the_crs_kind() { + let ctx = ctx(); + assert_eq!(space_of("f", srid(4742), &ctx), Ok(BboxSpace::Geographic)); + assert_eq!(space_of("f", srid(32650), &ctx), Ok(BboxSpace::Planar)); + } } diff --git a/nodedb-query/src/geo_functions/linear.rs b/nodedb-query/src/geo_functions/linear.rs new file mode 100644 index 000000000..4761a32cf --- /dev/null +++ b/nodedb-query/src/geo_functions/linear.rs @@ -0,0 +1,180 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Linear referencing: `ST_LineInterpolatePoint`, `ST_LocateAlong`, +//! `ST_LocateBetween`, `ST_InterpolatePoint`. + +use nodedb_crs::CrsContext; +use nodedb_types::Value; +use nodedb_types::geometry::Geometry; + +use super::helpers::{ + GeoEval, finite_arg, geom_arg, geom_pair, geometry_fault, metric_of, same_srid, +}; +use crate::expr::EvalError; +use crate::value_ops::to_value_number; + +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { + let result = match canonical { + "st_lineinterpolatepoint" => line_interpolate_point(canonical, args, ctx), + "st_locatealong" => locate_along(canonical, args, ctx), + "st_locatebetween" => locate_between(canonical, args, ctx), + "st_interpolatepoint" => interpolate_point(canonical, args, ctx), + _ => return None, + }; + Some(result) +} + +/// `ST_LineInterpolatePoint(line, fraction)`: geodesic along a line in a +/// geographic CRS, straight in a projected one. Z and M interpolate. +fn line_interpolate_point( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let (Some(g), Some(fraction)) = ( + geom_arg(args, 0, function, ctx)?, + finite_arg(args, 1, function)?, + ) else { + return Ok(Value::Null); + }; + let metric = metric_of(function, g.srid, ctx)?; + nodedb_spatial::ops::line_interpolate_point(&g, fraction, &metric) + .map(Value::Geometry) + .map_err(|e| geometry_fault(function, e)) +} + +/// `ST_LocateAlong(geom, m [, offset])`. +fn locate_along( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let (Some(g), Some(m)) = ( + geom_arg(args, 0, function, ctx)?, + finite_arg(args, 1, function)?, + ) else { + return Ok(Value::Null); + }; + let offset = finite_arg(args, 2, function)?.unwrap_or(0.0); + nodedb_spatial::ops::locate_along(&g, m, offset) + .map(Value::Geometry) + .map_err(|e| geometry_fault(function, e)) +} + +/// `ST_LocateBetween(geom, m_start, m_end [, offset])`. +fn locate_between( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let (Some(g), Some(start), Some(end)) = ( + geom_arg(args, 0, function, ctx)?, + finite_arg(args, 1, function)?, + finite_arg(args, 2, function)?, + ) else { + return Ok(Value::Null); + }; + let offset = finite_arg(args, 3, function)?.unwrap_or(0.0); + nodedb_spatial::ops::locate_between(&g, start, end, offset) + .map(Value::Geometry) + .map_err(|e| geometry_fault(function, e)) +} + +/// `ST_InterpolatePoint(line, point)`: the M of `line` nearest `point`. +fn interpolate_point( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let Some((line, point)) = geom_pair(args, function, ctx)? else { + return Ok(Value::Null); + }; + same_srid(function, &line, &point)?; + let Geometry::Point { coordinates } = point.geometry() else { + return Err(EvalError::ArgumentValue { + function, + position: 2, + reason: format!("must be a point, got {}", point.geometry().geometry_type()), + }); + }; + if point.is_empty() { + return Ok(Value::Null); + } + Ok( + match nodedb_spatial::ops::interpolate_point(&line, *coordinates) + .map_err(|e| geometry_fault(function, e))? + { + Some(m) => to_value_number(m), + None => Value::Null, + }, + ) +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::{Ordinates, Srid, SridGeometry}; + + fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { + super::eval(canonical, args, &CrsContext::builtin_only()) + } + + fn line_m() -> Value { + Value::Geometry( + SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::line_string(vec![[0.0, 0.0], [10.0, 0.0]]), + Ordinates::new(None, Some(vec![0.0, 100.0])), + ) + .unwrap(), + ) + } + + #[test] + fn interpolate_and_locate() { + let Some(Ok(Value::Geometry(p))) = + eval("st_lineinterpolatepoint", &[line_m(), Value::Float(0.5)]) + else { + panic!(); + }; + assert_eq!(p.geometry(), &Geometry::point(5.0, 0.0)); + assert_eq!(p.ordinates().m(), Some(&[50.0][..])); + let Some(Ok(Value::Geometry(at))) = eval("st_locatealong", &[line_m(), Value::Float(30.0)]) + else { + panic!(); + }; + assert_eq!( + at.geometry(), + &Geometry::MultiPoint { + coordinates: vec![[3.0, 0.0]] + } + ); + let Some(Ok(Value::Geometry(between))) = eval( + "st_locatebetween", + &[line_m(), Value::Float(10.0), Value::Float(20.0)], + ) else { + panic!(); + }; + assert_eq!(between.geometry().coord_count(), 2); + let point = Value::Geometry(SridGeometry::new( + Srid::new(32648).unwrap(), + Geometry::point(7.0, 3.0), + )); + assert_eq!( + eval("st_interpolatepoint", &[line_m(), point]), + Some(Ok(to_value_number(70.0))) + ); + } + + #[test] + fn measures_without_m_fail() { + let xy = Value::Geometry(SridGeometry::new( + Srid::new(32648).unwrap(), + Geometry::line_string(vec![[0.0, 0.0], [1.0, 0.0]]), + )); + assert!(matches!( + eval("st_locatealong", &[xy, Value::Float(1.0)]), + Some(Err(EvalError::Geometry { .. })) + )); + } +} diff --git a/nodedb-query/src/geo_functions/measures.rs b/nodedb-query/src/geo_functions/measures.rs index 148ef8bfc..a209357c1 100644 --- a/nodedb-query/src/geo_functions/measures.rs +++ b/nodedb-query/src/geo_functions/measures.rs @@ -2,57 +2,65 @@ //! Distance, length, perimeter, area, and bearing. //! -//! Every measure is reported in metres (or square metres). A WGS 84 geometry -//! is measured geodesically, the same basis as `nodedb_spatial::st_distance`. -//! A projected geometry is measured in planar grid metres. +//! Every measure is reported in metres (or square metres). A geometry in a +//! geographic SRID is measured geodesically on that CRS's own ellipsoid. A +//! projected geometry is measured in its planar grid, then scaled from the +//! CRS's linear unit to metres. `geo_distance` and `geo_bearing` are the +//! spherical haversine formulas on bare numbers. +use nodedb_crs::CrsContext; use nodedb_types::Value; -use nodedb_types::geometry::{Geometry, SridGeometry}; -use super::helpers::{GeoEval, geom_arg, num_arg, same_srid}; +use super::helpers::{GeoEval, metric_of, num_arg, pair, unary}; +use crate::expr::EvalError; use crate::value_ops::to_value_number; -pub(super) fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { let result = match canonical { - "st_distance" => { - let (Some(a), Some(b)) = (geom_arg(args, 0), geom_arg(args, 1)) else { - return Some(Ok(Value::Null)); - }; - let srid = match same_srid(canonical, &a, &b) { - Ok(srid) => srid, - Err(e) => return Some(Err(e)), - }; - let d = if srid.is_geographic() { - nodedb_spatial::st_distance(&a.geometry, &b.geometry) - } else { - nodedb_spatial::planar_distance(&a.geometry, &b.geometry) - }; - to_value_number(d) - } - "st_length" => unary(args, linear_length, nodedb_spatial::planar_length), - "st_perimeter" => unary(args, perimeter, nodedb_spatial::planar_perimeter), - "st_area" => unary(args, nodedb_spatial::st_area, nodedb_spatial::planar_area), - "geo_distance" => haversine(args, nodedb_types::geometry::haversine_distance), - "geo_bearing" => haversine(args, nodedb_types::geometry::haversine_bearing), + "st_distance" => measure_pair(canonical, args, ctx, |m, a, b| { + m.distance(a.geometry(), b.geometry()) + }), + "st_3ddistance" => measure_pair(canonical, args, ctx, |m, a, b| m.distance_3d(a, b)), + "st_length" => measure(canonical, args, ctx, |m, g| m.length(g.geometry())), + "st_3dlength" => measure(canonical, args, ctx, |m, g| m.length_3d(g)), + "st_perimeter" => measure(canonical, args, ctx, |m, g| m.perimeter(g.geometry())), + "st_area" => measure(canonical, args, ctx, |m, g| m.area(g.geometry())), + "geo_distance" => Ok(haversine(args, nodedb_types::geometry::haversine_distance)), + "geo_bearing" => Ok(haversine(args, nodedb_types::geometry::haversine_bearing)), _ => return None, }; - Some(Ok(result)) + Some(result) } -/// A unary measure: `geodesic` for a WGS 84 geometry, `planar` for a -/// projected one. -fn unary(args: &[Value], geodesic: fn(&Geometry) -> f64, planar: fn(&Geometry) -> f64) -> Value { - match geom_arg(args, 0) { - Some(SridGeometry { srid, geometry }) => { - let f = if srid.is_geographic() { - geodesic - } else { - planar - }; - to_value_number(f(&geometry)) +type Geom = nodedb_types::geometry::SridGeometry; + +/// A measure between two operands in one SRID. EMPTY gives NULL. +fn measure_pair( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: fn(&nodedb_spatial::Metric, &Geom, &Geom) -> f64, +) -> Result { + pair(function, args, ctx, |a, b| { + let metric = metric_of(function, a.srid, ctx)?; + if a.is_empty() || b.is_empty() { + return Ok(Value::Null); } - None => Value::Null, - } + Ok(to_value_number(f(&metric, a, b))) + }) +} + +/// A measure of one operand in its own SRID. +fn measure( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: fn(&nodedb_spatial::Metric, &Geom) -> f64, +) -> Result { + unary(function, args, ctx, |g| { + let metric = metric_of(function, g.srid, ctx)?; + Ok(to_value_number(f(&metric, g))) + }) } fn haversine(args: &[Value], f: fn(f64, f64, f64, f64) -> f64) -> Value { @@ -67,69 +75,19 @@ fn haversine(args: &[Value], f: fn(f64, f64, f64, f64) -> f64) -> Value { to_value_number(f(lng1, lat1, lng2, lat2)) } -/// Total geodesic length of every linear component. Areal geometries have no -/// length in PostGIS (their boundary is `ST_Perimeter`), and points have none. -fn linear_length(geom: &Geometry) -> f64 { - match geom { - Geometry::LineString { coordinates } => path_length(coordinates), - Geometry::MultiLineString { coordinates } => { - coordinates.iter().map(|line| path_length(line)).sum() - } - Geometry::GeometryCollection { geometries } => geometries.iter().map(linear_length).sum(), - _ => 0.0, - } -} - -/// Total geodesic length of every areal component's rings, holes included — -/// the boundary length of the geometry. -fn perimeter(geom: &Geometry) -> f64 { - match geom { - Geometry::Polygon { coordinates } => coordinates - .iter() - .map(|ring| closed_ring_length(ring)) - .sum(), - Geometry::MultiPolygon { coordinates } => coordinates - .iter() - .flat_map(|rings| rings.iter()) - .map(|ring| closed_ring_length(ring)) - .sum(), - Geometry::GeometryCollection { geometries } => geometries.iter().map(perimeter).sum(), - _ => 0.0, - } -} - -fn path_length(coords: &[[f64; 2]]) -> f64 { - coords - .windows(2) - .map(|pair| { - nodedb_types::geometry::haversine_distance( - pair[0][0], pair[0][1], pair[1][0], pair[1][1], - ) - }) - .sum() -} - -/// Length of a ring, closing it if the source omitted the repeated last -/// vertex — GeoJSON requires closure but stored data is not always well-formed. -fn closed_ring_length(ring: &[[f64; 2]]) -> f64 { - let mut total = path_length(ring); - if let (Some(first), Some(last)) = (ring.first(), ring.last()) - && first != last - { - total += nodedb_types::geometry::haversine_distance(last[0], last[1], first[0], first[1]); - } - total -} - #[cfg(test)] mod tests { use super::*; use crate::value_ops::value_to_f64; - use nodedb_types::geometry::Srid; + use nodedb_types::geometry::{Geometry, Ordinates, Srid, SridGeometry}; + + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } /// The evaluator with a fault turned into a test failure. fn eval(canonical: &'static str, args: &[Value]) -> Option { - super::eval(canonical, args).map(|r| r.expect("no fault expected")) + super::eval(canonical, args, &ctx()).map(|r| r.expect("no fault expected")) } fn geom(v: Geometry) -> Vec { @@ -137,7 +95,45 @@ mod tests { } fn utm48(v: Geometry) -> Value { - Value::Geometry(SridGeometry::new(Srid::Utm48N, v)) + Value::Geometry(SridGeometry::new(Srid::new(32648).unwrap(), v)) + } + + fn ft2263(v: Geometry) -> Value { + Value::Geometry(SridGeometry::new(Srid::new(2263).unwrap(), v)) + } + + /// Metres per US survey foot, the unit of EPSG:2263. + const US_FOOT_M: f64 = 1200.0 / 3937.0; + + /// EPSG:2263 coordinates are US survey feet: distance, length and area + /// come back in metres and square metres. + #[test] + fn feet_crs_measures_report_metres() { + let a = ft2263(Geometry::point(1_000_000.0, 200_000.0)); + let b = ft2263(Geometry::point(1_001_000.0, 200_000.0)); + let d = eval("st_distance", &[a, b]).and_then(|v| value_to_f64(&v, false)); + let d = d.expect("a distance"); + assert!((d - 1000.0 * US_FOOT_M).abs() < 1e-6, "{d}"); + + let line = ft2263(Geometry::line_string(vec![ + [1_000_000.0, 200_000.0], + [1_000_000.0, 200_500.0], + ])); + let len = eval("st_length", &[line]).and_then(|v| value_to_f64(&v, false)); + let len = len.expect("a length"); + assert!((len - 500.0 * US_FOOT_M).abs() < 1e-6, "{len}"); + + let square = ft2263(Geometry::polygon(vec![vec![ + [1_000_000.0, 200_000.0], + [1_000_100.0, 200_000.0], + [1_000_100.0, 200_100.0], + [1_000_000.0, 200_100.0], + [1_000_000.0, 200_000.0], + ]])); + let area = eval("st_area", &[square]).and_then(|v| value_to_f64(&v, false)); + let area = area.expect("an area"); + let expected = 10_000.0 * US_FOOT_M * US_FOOT_M; + assert!((area - expected).abs() < 1e-6, "{area}"); } #[test] @@ -171,20 +167,20 @@ mod tests { utm48(Geometry::point(0.0, 0.0)), ]; assert!(matches!( - super::eval("st_distance", &args), + super::eval("st_distance", &args, &ctx()), Some(Err(crate::expr::EvalError::MixedSrid { .. })) )); } + /// pyproj 3.8.0 `Geod(ellps="WGS84").inv(0, 0, 0, 1)`: 110574.38855779878 m. #[test] fn length_measures_linestrings_only() { let line = Geometry::line_string(vec![[0.0, 0.0], [0.0, 1.0]]); let measured = eval("st_length", &geom(line)).and_then(|v| value_to_f64(&v, true)); - // One degree of latitude is ~111.19 km. let Some(m) = measured else { panic!("expected a numeric length"); }; - assert!((m - 111_195.0).abs() < 500.0, "got {m}"); + assert!((m - 110_574.388_557_798_78).abs() < 1e-6, "got {m}"); let point = geom(Geometry::point(1.0, 2.0)); assert_eq!(eval("st_length", &point), Some(to_value_number(0.0))); @@ -215,15 +211,86 @@ mod tests { } #[test] - fn unreadable_geometry_yields_null_not_zero() { + fn unreadable_geometry_fails_the_statement() { let bad = vec![Value::String("not a geometry".into())]; - assert_eq!(eval("st_area", &bad), Some(Value::Null)); - assert_eq!(eval("st_length", &bad), Some(Value::Null)); - assert_eq!(eval("st_distance", &bad), Some(Value::Null)); + for f in ["st_area", "st_length", "st_distance"] { + assert!(matches!( + super::eval(f, &bad, &ctx()), + Some(Err(crate::expr::EvalError::Geometry { .. })) + )); + } + assert_eq!(eval("st_area", &[Value::Null]), Some(Value::Null)); + } + + /// pyproj 3.8.0 `Geod(ellps="WGS84").polygon_area_perimeter` on the + /// 1° square at the equator: 12308778361.469452 m², 443770.917248302 m. + #[test] + fn geographic_area_and_perimeter_are_geodesic() { + let square = geom(Geometry::polygon(vec![vec![ + [0.0, 0.0], + [1.0, 0.0], + [1.0, 1.0], + [0.0, 1.0], + [0.0, 0.0], + ]])); + let area = eval("st_area", &square).and_then(|v| value_to_f64(&v, true)); + assert!((area.unwrap() - 12_308_778_361.469_452).abs() < 1e-3); + let per = eval("st_perimeter", &square).and_then(|v| value_to_f64(&v, true)); + assert!((per.unwrap() - 443_770.917_248_302).abs() < 1e-6); + } + + #[test] + fn distance_to_empty_is_null() { + let args = [ + Value::Geometry(SridGeometry::wgs84(Geometry::empty_point())), + Value::Geometry(SridGeometry::wgs84(Geometry::point(0.0, 0.0))), + ]; + assert_eq!(eval("st_distance", &args), Some(Value::Null)); + } + + #[test] + fn three_d_measures() { + let z = |x: f64, y: f64, h: f64| { + Value::Geometry( + SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::point(x, y), + Ordinates::new(Some(vec![h]), None), + ) + .unwrap(), + ) + }; + let d = eval("st_3ddistance", &[z(0.0, 0.0, 0.0), z(3.0, 0.0, 4.0)]) + .and_then(|v| value_to_f64(&v, true)); + assert_eq!(d, Some(5.0)); + let line = Value::Geometry( + SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::line_string(vec![[0.0, 0.0], [3.0, 0.0]]), + Ordinates::new(Some(vec![0.0, 4.0]), None), + ) + .unwrap(), + ); + let l = eval("st_3dlength", &[line]).and_then(|v| value_to_f64(&v, true)); + assert_eq!(l, Some(5.0)); } #[test] fn unknown_name_falls_through() { assert_eq!(eval("st_contains", &[]), None); } + + /// A geographic SRID other than WGS 84 is measured geodesically. + #[test] + fn geographic_gdm2000_length_is_geodesic() { + let line = Value::Geometry(SridGeometry::new( + Srid::new(4742).unwrap(), + Geometry::line_string(vec![[0.0, 0.0], [0.0, 1.0]]), + )); + let Some(m) = eval("st_length", &[line]).and_then(|v| value_to_f64(&v, true)) else { + panic!("expected a numeric length"); + }; + // GRS80: pyproj Geod(ellps="GRS80").inv(0, 0, 0, 1) = 110574.38855415255. + assert!((m - 110_574.388_554_152_55).abs() < 1e-6, "got {m}"); + } } diff --git a/nodedb-query/src/geo_functions/mod.rs b/nodedb-query/src/geo_functions/mod.rs index cf34c7fab..2d7ad62d0 100644 --- a/nodedb-query/src/geo_functions/mod.rs +++ b/nodedb-query/src/geo_functions/mod.rs @@ -7,11 +7,18 @@ pub mod catalog; pub mod constructors; pub mod crs; pub mod dispatch; +pub mod encode; pub mod helpers; pub mod indexing; +pub mod linear; pub mod measures; +pub mod overlay; pub mod predicates; +pub mod srid_refs; pub use catalog::{GEO_FUNCTIONS, GeoArgShape, GeoFunctionSpec, GeoReturn, returns_geometry}; pub use dispatch::eval_geo_function; pub use helpers::geometry_from_text; +pub use srid_refs::{ + expr_names_srid, literal_geometry_srid, literal_srid_code, srid_arg_position, type_names_srid, +}; diff --git a/nodedb-query/src/geo_functions/overlay.rs b/nodedb-query/src/geo_functions/overlay.rs new file mode 100644 index 000000000..53c108713 --- /dev/null +++ b/nodedb-query/src/geo_functions/overlay.rs @@ -0,0 +1,437 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geometry-returning operations: buffer, envelope, centroid, boolean +//! overlay, hulls, simplification, repair, subdivision, splitting, closest +//! point and dimension forcing. +//! +//! An operation keeps its input SRID. A binary operation needs both inputs +//! in one SRID. A derived shape has no Z or M of its own. + +use nodedb_crs::CrsContext; +use nodedb_spatial::ops::{Hull, Simplifier}; +use nodedb_types::Value; +use nodedb_types::geometry::{Dimension, Geometry, GeometryKind, SridGeometry}; + +use super::constructors::segments_arg; +use super::helpers::{ + GeoEval, finite_arg, geom_arg, geometry_fault, metric_of, pair, space_of, unary, +}; +use crate::expr::EvalError; + +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { + let result = match canonical { + "st_buffer" => buffer(canonical, args, ctx), + "st_envelope" => in_space(canonical, args, ctx, |g, space| { + Ok(nodedb_spatial::st_envelope_in(g, space)) + }), + "st_centroid" => centroid(canonical, args, ctx), + "st_union" => binary(canonical, args, ctx, nodedb_spatial::ops::union), + "st_intersection" => binary(canonical, args, ctx, nodedb_spatial::ops::intersection), + "st_difference" => binary(canonical, args, ctx, nodedb_spatial::ops::difference), + "st_symdifference" => binary(canonical, args, ctx, nodedb_spatial::ops::sym_difference), + "st_convexhull" => in_space(canonical, args, ctx, |g, _| { + Ok(nodedb_spatial::ops::hull(g, Hull::Convex)) + }), + "st_concavehull" => with_number(canonical, args, ctx, |g, pct| { + if !(0.0..=1.0).contains(&pct) { + return Err(out_of_range(canonical, 2, "must be in [0, 1]")); + } + Ok(nodedb_spatial::ops::hull( + g, + Hull::Concave { pct_convex: pct }, + )) + }), + "st_simplify" => simplify(canonical, args, ctx, Simplifier::DouglasPeucker), + "st_simplifypreservetopology" => { + simplify(canonical, args, ctx, Simplifier::PreserveTopology) + } + "st_makevalid" => in_space(canonical, args, ctx, |g, _| { + nodedb_spatial::ops::make_valid(g).map_err(|e| geometry_fault(canonical, e)) + }), + "st_subdivide" => subdivide(canonical, args, ctx), + "st_split" => binary_fallible(canonical, args, ctx, nodedb_spatial::ops::split), + "st_closestpoint" => closest_point(canonical, args, ctx), + "st_segmentize" => segmentize(canonical, args, ctx), + "st_force2d" => force(canonical, args, ctx, Dimension::Xy), + "st_force3d" => force(canonical, args, ctx, Dimension::Xyz), + "st_force3dm" => force(canonical, args, ctx, Dimension::Xym), + "st_force4d" => force(canonical, args, ctx, Dimension::Xyzm), + _ => return None, + }; + Some(result) +} + +fn out_of_range(function: &'static str, position: usize, reason: &str) -> EvalError { + EvalError::ArgumentValue { + function, + position, + reason: reason.into(), + } +} + +/// A unary operation in the input's coordinate space. The result keeps the +/// input SRID. +fn in_space( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: impl FnOnce(&Geometry, nodedb_types::BboxSpace) -> Result, +) -> Result { + unary(function, args, ctx, |g| { + let space = space_of(function, g.srid, ctx)?; + Ok(Value::Geometry(g.with_geometry(f(g.geometry(), space)?))) + }) +} + +/// A unary operation with a required numeric second argument. +fn with_number( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: impl Fn(&Geometry, f64) -> Result, +) -> Result { + let (Some(g), Some(n)) = ( + geom_arg(args, 0, function, ctx)?, + finite_arg(args, 1, function)?, + ) else { + return Ok(Value::Null); + }; + Ok(Value::Geometry(g.with_geometry(f(g.geometry(), n)?))) +} + +/// A binary operation over two inputs in one SRID. +fn binary( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: fn(&Geometry, &Geometry) -> Geometry, +) -> Result { + binary_fallible(function, args, ctx, |a, b| Ok(f(a, b))) +} + +fn binary_fallible( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + f: impl FnOnce(&Geometry, &Geometry) -> Result, +) -> Result { + pair(function, args, ctx, |a, b| { + let out = f(a.geometry(), b.geometry()).map_err(|e| geometry_fault(function, e))?; + Ok(Value::Geometry(SridGeometry::new(a.srid, out))) + }) +} + +/// `ST_Buffer(geom, distance_m [, segments])`. Distance is metres in either +/// space: geodesic in a local projection on a geographic CRS's ellipsoid, +/// planar in a projected CRS's unit. +fn buffer( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let (Some(g), Some(distance)) = ( + geom_arg(args, 0, function, ctx)?, + finite_arg(args, 1, function)?, + ) else { + return Ok(Value::Null); + }; + let def = ctx + .resolve(g.srid) + .map_err(|source| EvalError::Crs { function, source })?; + let out = nodedb_spatial::ops::buffer(g.geometry(), distance, segments_arg(args, 2), &def) + .map_err(|e| geometry_fault(function, e))?; + Ok(Value::Geometry(g.with_geometry(out))) +} + +/// `ST_Centroid(geom)`: weighted by geodesic area or length on a +/// geographic CRS, planar on a projected one. EMPTY gives `POINT EMPTY`. +fn centroid( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + unary(function, args, ctx, |g| { + let metric = metric_of(function, g.srid, ctx)?; + let point = nodedb_spatial::st_centroid(g.geometry(), &metric) + .unwrap_or_else(|| Geometry::empty(GeometryKind::Point)); + Ok(Value::Geometry(g.with_geometry(point))) + }) +} + +/// `ST_Simplify` / `ST_SimplifyPreserveTopology(geom, tolerance)`, the +/// tolerance in coordinate units. A negative tolerance fails. +fn simplify( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + simplifier: Simplifier, +) -> Result { + with_number(function, args, ctx, |g, tolerance| { + if tolerance < 0.0 { + return Err(out_of_range(function, 2, "must not be negative")); + } + Ok(nodedb_spatial::ops::simplify(g, tolerance, simplifier)) + }) +} + +/// `ST_Subdivide(geom [, max_vertices])`, 256 vertices when absent. The +/// pieces come back as one GEOMETRYCOLLECTION. +fn subdivide( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + const DEFAULT_MAX_VERTICES: f64 = 256.0; + let Some(g) = geom_arg(args, 0, function, ctx)? else { + return Ok(Value::Null); + }; + let max = match args.get(1) { + None => DEFAULT_MAX_VERTICES, + Some(_) => match finite_arg(args, 1, function)? { + Some(n) => n, + None => return Ok(Value::Null), + }, + }; + if max < nodedb_spatial::ops::MIN_SUBDIVIDE_VERTICES as f64 { + return Err(out_of_range(function, 2, "must be at least 5")); + } + Ok(Value::Geometry(g.with_geometry( + nodedb_spatial::ops::subdivide(g.geometry(), max as usize), + ))) +} + +/// `ST_ClosestPoint(a, b)`: the point of `a` nearest `b`. EMPTY gives NULL. +fn closest_point( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + pair(function, args, ctx, |a, b| { + Ok( + match nodedb_spatial::ops::closest_point(a.geometry(), b.geometry()) { + Some([x, y]) => Value::Geometry(SridGeometry::new(a.srid, Geometry::point(x, y))), + None => Value::Null, + }, + ) + }) +} + +/// `ST_Segmentize(geom, max_length_m)`: geodesic on a geographic CRS, in +/// metres of the grid on a projected one. Z and M interpolate. +fn segmentize( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + let (Some(g), Some(max)) = ( + geom_arg(args, 0, function, ctx)?, + finite_arg(args, 1, function)?, + ) else { + return Ok(Value::Null); + }; + if max <= 0.0 { + return Err(out_of_range(function, 2, "must be positive")); + } + let metric = metric_of(function, g.srid, ctx)?; + nodedb_spatial::ops::segmentize(&g, max, &metric) + .map(Value::Geometry) + .map_err(|e| geometry_fault(function, e)) +} + +/// `ST_Force2D/3D/3DM/4D(geom [, z [, m]])`: keep the shape, set the +/// dimension. A missing ordinate fills with the given value, 0 by default. +fn force( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + dimension: Dimension, +) -> Result { + let Some(g) = geom_arg(args, 0, function, ctx)? else { + return Ok(Value::Null); + }; + let fill = |idx: usize| finite_arg(args, idx, function).map(|v| v.unwrap_or(0.0)); + let (fill_z, fill_m) = match dimension { + Dimension::Xy => (0.0, 0.0), + Dimension::Xyz => (fill(1)?, 0.0), + Dimension::Xym => (0.0, fill(1)?), + Dimension::Xyzm => (fill(1)?, fill(2)?), + }; + g.force_dimension(dimension, fill_z, fill_m) + .map(Value::Geometry) + .map_err(|e| geometry_fault(function, e.into())) +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::{Ordinates, Srid}; + + fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { + super::eval(canonical, args, &CrsContext::builtin_only()) + } + + fn run(canonical: &'static str, args: &[Value]) -> SridGeometry { + match eval(canonical, args) { + Some(Ok(Value::Geometry(g))) => g, + other => panic!("{canonical}: {other:?}"), + } + } + + fn utm(g: Geometry) -> Value { + Value::Geometry(SridGeometry::new(Srid::new(32648).unwrap(), g)) + } + + fn square(x0: f64, y0: f64, side: f64) -> Geometry { + Geometry::polygon(vec![vec![ + [x0, y0], + [x0 + side, y0], + [x0 + side, y0 + side], + [x0, y0 + side], + [x0, y0], + ]]) + } + + #[test] + fn overlay_ops_keep_srid() { + let (a, b) = (utm(square(0.0, 0.0, 2.0)), utm(square(1.0, 1.0, 2.0))); + for f in [ + "st_union", + "st_intersection", + "st_difference", + "st_symdifference", + ] { + let g = run(f, &[a.clone(), b.clone()]); + assert_eq!(g.srid.code(), 32648, "{f}"); + } + assert!(matches!( + eval( + "st_union", + &[ + a, + Value::Geometry(SridGeometry::wgs84(Geometry::point(0.0, 0.0))) + ] + ), + Some(Err(EvalError::MixedSrid { .. })) + )); + } + + #[test] + fn projected_buffer_is_planar_and_keeps_srid() { + let g = run( + "st_buffer", + &[ + utm(Geometry::point(500_000.0, 100_000.0)), + Value::Float(100.0), + ], + ); + assert_eq!(g.srid.code(), 32648); + let Geometry::Polygon { coordinates } = g.geometry() else { + panic!("expected a polygon"); + }; + let [x, y] = coordinates[0][0]; + // A 32-gon vertex sits at most 0.5 % off the circle. + assert!(((x - 500_000.0).hypot(y - 100_000.0) - 100.0).abs() < 0.5); + } + + #[test] + fn multi_buffer_is_not_a_bbox() { + let multi = Value::Geometry(SridGeometry::wgs84(Geometry::MultiPoint { + coordinates: vec![[0.0, 0.0], [0.1, 0.0]], + })); + let g = run("st_buffer", &[multi, Value::Float(100.0)]); + assert!( + matches!(g.geometry(), Geometry::MultiPolygon { coordinates } if coordinates.len() == 2), + "{g:?}" + ); + } + + #[test] + fn force_sets_dimension() { + let xy = utm(Geometry::point(1.0, 2.0)); + let z = run("st_force3d", &[xy.clone(), Value::Float(9.0)]); + assert_eq!(z.ordinates().z(), Some(&[9.0][..])); + let zm = run("st_force4d", std::slice::from_ref(&xy)); + assert_eq!(zm.dimension(), Dimension::Xyzm); + let m = run("st_force3dm", &[Value::Geometry(zm.clone())]); + assert_eq!(m.dimension(), Dimension::Xym); + assert_eq!( + run("st_force2d", &[Value::Geometry(zm)]).dimension(), + Dimension::Xy + ); + } + + #[test] + fn hulls_simplify_and_repair() { + let pts = utm(Geometry::MultiPoint { + coordinates: vec![[0.0, 0.0], [4.0, 0.0], [4.0, 4.0], [0.0, 4.0], [2.0, 2.0]], + }); + assert!(matches!( + run("st_convexhull", std::slice::from_ref(&pts)).geometry(), + Geometry::Polygon { .. } + )); + assert!(matches!( + eval("st_concavehull", &[pts, Value::Float(2.0)]), + Some(Err(EvalError::ArgumentValue { .. })) + )); + let line = utm(Geometry::line_string(vec![ + [0.0, 0.0], + [5.0, 0.1], + [10.0, 0.0], + ])); + let simple = run("st_simplify", &[line, Value::Float(1.0)]); + assert_eq!(simple.geometry().coord_count(), 2); + let bowtie = utm(Geometry::polygon(vec![vec![ + [0.0, 0.0], + [0.0, 10.0], + [10.0, 0.0], + [10.0, 10.0], + [0.0, 0.0], + ]])); + assert!(nodedb_spatial::is_valid( + run("st_makevalid", &[bowtie]).geometry() + )); + } + + #[test] + fn centroid_of_empty_is_empty_point() { + let g = run( + "st_centroid", + &[Value::Geometry( + SridGeometry::wgs84(Geometry::empty_point()), + )], + ); + assert!(g.is_empty()); + } + + #[test] + fn segmentize_keeps_z() { + let line = Value::Geometry( + SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::line_string(vec![[0.0, 0.0], [10.0, 0.0]]), + Ordinates::new(Some(vec![0.0, 10.0]), None), + ) + .unwrap(), + ); + let g = run("st_segmentize", &[line, Value::Float(5.0)]); + assert_eq!(g.ordinates().z(), Some(&[0.0, 5.0, 10.0][..])); + } + + #[test] + fn subdivide_and_split_return_collections() { + let sq = utm(square(0.0, 0.0, 4.0)); + let blade = utm(Geometry::line_string(vec![[2.0, -1.0], [2.0, 5.0]])); + let parts = run("st_split", &[sq.clone(), blade]); + assert!( + matches!(parts.geometry(), Geometry::GeometryCollection { geometries } if geometries.len() == 2) + ); + assert!(matches!( + run("st_subdivide", std::slice::from_ref(&sq)).geometry(), + Geometry::GeometryCollection { .. } + )); + assert!(matches!( + eval("st_subdivide", &[sq, Value::Integer(2)]), + Some(Err(EvalError::ArgumentValue { .. })) + )); + } +} diff --git a/nodedb-query/src/geo_functions/predicates.rs b/nodedb-query/src/geo_functions/predicates.rs index 940908b03..1f892de56 100644 --- a/nodedb-query/src/geo_functions/predicates.rs +++ b/nodedb-query/src/geo_functions/predicates.rs @@ -1,66 +1,182 @@ // SPDX-License-Identifier: Apache-2.0 //! Topological predicate evaluation. Every predicate is NULL-propagating: an -//! argument that is not a readable geometry yields NULL rather than `false`, -//! so "no geometry" stays distinguishable from "does not match". Two -//! operands in different SRIDs fail with `EvalError::MixedSrid`. +//! argument that is SQL NULL yields NULL rather than `false`, so "no +//! geometry" stays distinguishable from "does not match". Two operands in +//! different SRIDs fail with `EvalError::MixedSrid`. An EMPTY operand +//! intersects, contains and touches nothing, as in PostGIS. +use nodedb_crs::CrsContext; +use nodedb_spatial::ops::{Relation, relates}; use nodedb_types::Value; use nodedb_types::geometry::Geometry; -use super::helpers::{GeoEval, geom_arg, num_arg, same_srid}; +use super::helpers::{GeoEval, finite_arg, geometry_fault, metric_of, pair, str_arg, unary}; use crate::expr::EvalError; -pub(super) fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { +pub(super) fn eval(canonical: &'static str, args: &[Value], ctx: &CrsContext<'_>) -> GeoEval { let result = match canonical { - "st_contains" => binary(canonical, args, nodedb_spatial::st_contains), - "st_intersects" => binary(canonical, args, nodedb_spatial::st_intersects), - "st_within" => binary(canonical, args, nodedb_spatial::st_within), - "st_disjoint" => binary(canonical, args, nodedb_spatial::st_disjoint), - "st_dwithin" => dwithin(canonical, args), - "st_isvalid" => Ok(match geom_arg(args, 0) { - Some(g) => Value::Bool(nodedb_spatial::is_valid(&g.geometry)), - None => Value::Null, + "st_contains" => predicate(canonical, args, ctx, false, nodedb_spatial::st_contains), + "st_intersects" => predicate(canonical, args, ctx, false, nodedb_spatial::st_intersects), + "st_within" => predicate(canonical, args, ctx, false, nodedb_spatial::st_within), + "st_disjoint" => predicate(canonical, args, ctx, true, nodedb_spatial::st_disjoint), + "st_touches" => named(canonical, args, ctx, Relation::Touches), + "st_crosses" => named(canonical, args, ctx, Relation::Crosses), + "st_overlaps" => named(canonical, args, ctx, Relation::Overlaps), + "st_covers" => named(canonical, args, ctx, Relation::Covers), + "st_coveredby" => named(canonical, args, ctx, Relation::CoveredBy), + "st_equals" => equals(canonical, args, ctx), + "st_relate" => relate(canonical, args, ctx), + "st_dwithin" => dwithin(canonical, args, ctx, false), + "st_3ddwithin" => dwithin(canonical, args, ctx, true), + "st_3dintersects" => intersects_3d(canonical, args, ctx), + "st_isvalid" => unary(canonical, args, ctx, |g| { + Ok(Value::Bool(nodedb_spatial::is_valid(g.geometry()))) + }), + "st_isvalidreason" => unary(canonical, args, ctx, |g| { + Ok(Value::String(nodedb_spatial::validity_reason(g.geometry()))) }), _ => return None, }; Some(result) } -fn binary( +/// A planar predicate. An EMPTY operand gives `on_empty`. +fn predicate( function: &'static str, args: &[Value], + ctx: &CrsContext<'_>, + on_empty: bool, f: fn(&Geometry, &Geometry) -> bool, ) -> Result { - let (Some(a), Some(b)) = (geom_arg(args, 0), geom_arg(args, 1)) else { - return Ok(Value::Null); - }; - same_srid(function, &a, &b)?; - Ok(Value::Bool(f(&a.geometry, &b.geometry))) + pair(function, args, ctx, |a, b| { + if a.is_empty() || b.is_empty() { + return Ok(Value::Bool(on_empty)); + } + Ok(Value::Bool(f(a.geometry(), b.geometry()))) + }) } -/// `ST_DWithin(a, b, distance)`, distance in metres: geodesic-approximate for -/// 4326, planar for a projected SRID. -fn dwithin(function: &'static str, args: &[Value]) -> Result { - let (Some(a), Some(b)) = (geom_arg(args, 0), geom_arg(args, 1)) else { - return Ok(Value::Null); - }; - let Some(distance) = num_arg(args, 2) else { - return Ok(Value::Null); - }; - let srid = same_srid(function, &a, &b)?; - let within = if srid.is_geographic() { - nodedb_spatial::st_dwithin(&a.geometry, &b.geometry, distance) - } else { - nodedb_spatial::planar_dwithin(&a.geometry, &b.geometry, distance) - }; - Ok(Value::Bool(within)) +/// A named DE-9IM predicate. An EMPTY operand gives `false`. +fn named( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + relation: Relation, +) -> Result { + pair(function, args, ctx, |a, b| { + if a.is_empty() || b.is_empty() { + return Ok(Value::Bool(false)); + } + Ok(Value::Bool(relates(a.geometry(), b.geometry(), relation))) + }) +} + +/// `ST_Equals`: the same point set. Two EMPTY operands are equal. +fn equals( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + pair(function, args, ctx, |a, b| { + Ok(Value::Bool(match (a.is_empty(), b.is_empty()) { + (true, true) => true, + (false, false) => relates(a.geometry(), b.geometry(), Relation::Equals), + _ => false, + })) + }) +} + +/// `ST_Relate(a, b)`: the DE-9IM matrix text. `ST_Relate(a, b, pattern)`: +/// whether the matrix matches `pattern`. +fn relate( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + pair(function, args, ctx, |a, b| match args.get(2) { + None => Ok(Value::String(nodedb_spatial::ops::relate( + a.geometry(), + b.geometry(), + ))), + Some(Value::Null) => Ok(Value::Null), + Some(_) => { + let pattern = str_arg(args, 2).ok_or(EvalError::ArgumentType { + function, + position: 3, + expected: "a DE-9IM pattern text", + got: args.get(2).map_or("null", Value::type_name), + })?; + nodedb_spatial::ops::relate_pattern(a.geometry(), b.geometry(), &pattern) + .map(Value::Bool) + .map_err(|e| geometry_fault(function, e)) + } + }) +} + +/// `ST_DWithin(a, b, metres)` and `ST_3DDWithin(a, b, metres)`. Metres +/// are geodesic on a geographic CRS's ellipsoid, planar in a projected +/// CRS's unit. The 3D form adds Z: Euclidean in a projected CRS, the ECEF +/// chord in a geographic one. A negative distance fails. +fn dwithin( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, + three_d: bool, +) -> Result { + pair(function, args, ctx, |a, b| { + let Some(distance) = finite_arg(args, 2, function)? else { + return Ok(Value::Null); + }; + if distance < 0.0 { + return Err(EvalError::ArgumentValue { + function, + position: 3, + reason: "must not be negative".into(), + }); + } + let metric = metric_of(function, a.srid, ctx)?; + Ok(Value::Bool(if three_d { + metric.dwithin_3d(a, b, distance) + } else { + metric.dwithin(a.geometry(), b.geometry(), distance) + })) + }) +} + +/// `ST_3DIntersects(a, b)`: the 3D distance is zero. +fn intersects_3d( + function: &'static str, + args: &[Value], + ctx: &CrsContext<'_>, +) -> Result { + pair(function, args, ctx, |a, b| { + let metric = metric_of(function, a.srid, ctx)?; + if a.is_empty() || b.is_empty() { + return Ok(Value::Bool(false)); + } + Ok(Value::Bool( + metric.distance_3d(a, b) <= INTERSECT_TOLERANCE_M, + )) + }) } +/// 3D distance, metres, at or under which two geometries intersect: the +/// float noise of an ECEF chord. +const INTERSECT_TOLERANCE_M: f64 = 1e-6; + #[cfg(test)] mod tests { use super::*; - use nodedb_types::geometry::{Srid, SridGeometry}; + use nodedb_types::geometry::{Ordinates, Srid, SridGeometry}; + + fn eval(canonical: &'static str, args: &[Value]) -> GeoEval { + super::eval(canonical, args, &CrsContext::builtin_only()) + } + + fn utm48n() -> Srid { + Srid::new(32648).unwrap() + } fn geom(srid: Srid, g: Geometry) -> Value { Value::Geometry(SridGeometry::new(srid, g)) @@ -69,8 +185,8 @@ mod tests { #[test] fn mixed_srid_intersects_fails() { let args = vec![ - geom(Srid::Wgs84, Geometry::point(1.0, 2.0)), - geom(Srid::Utm48N, Geometry::point(1.0, 2.0)), + geom(Srid::WGS84, Geometry::point(1.0, 2.0)), + geom(utm48n(), Geometry::point(1.0, 2.0)), ]; assert_eq!( eval("st_intersects", &args), @@ -86,8 +202,8 @@ mod tests { fn projected_dwithin_is_planar_metres() { let args = |d: f64| { vec![ - geom(Srid::Utm48N, Geometry::point(500_000.0, 0.0)), - geom(Srid::Utm48N, Geometry::point(500_300.0, 400.0)), + geom(utm48n(), Geometry::point(500_000.0, 0.0)), + geom(utm48n(), Geometry::point(500_300.0, 400.0)), Value::Float(d), ] }; @@ -111,9 +227,174 @@ mod tests { [0.0, 0.0], ]]); let args = vec![ - geom(Srid::PeninsularRso, square), - geom(Srid::PeninsularRso, Geometry::point(5.0, 5.0)), + geom(Srid::new(3375).unwrap(), square), + geom(Srid::new(3375).unwrap(), Geometry::point(5.0, 5.0)), ]; assert_eq!(eval("st_contains", &args), Some(Ok(Value::Bool(true)))); } + + /// EPSG:2263 is in US survey feet: 300 ft apart is about 91.44 m. + #[test] + fn feet_crs_dwithin_compares_metres() { + let ft = Srid::new(2263).unwrap(); + let args = |d: f64| { + vec![ + geom(ft, Geometry::point(1_000_000.0, 200_000.0)), + geom(ft, Geometry::point(1_000_300.0, 200_000.0)), + Value::Float(d), + ] + }; + assert_eq!(eval("st_dwithin", &args(92.0)), Some(Ok(Value::Bool(true)))); + assert_eq!( + eval("st_dwithin", &args(91.0)), + Some(Ok(Value::Bool(false))) + ); + } + + /// A distance predicate needs the CRS kind, so an undefined SRID fails. + #[test] + fn dwithin_in_an_undefined_srid_fails() { + let undefined = Srid::new(999).unwrap(); + let args = vec![ + geom(undefined, Geometry::point(0.0, 0.0)), + geom(undefined, Geometry::point(1.0, 1.0)), + Value::Float(10.0), + ]; + assert!(matches!( + eval("st_dwithin", &args), + Some(Err(EvalError::Crs { .. })) + )); + } + + fn square(srid: Srid, side: f64) -> Value { + geom( + srid, + Geometry::polygon(vec![vec![ + [0.0, 0.0], + [side, 0.0], + [side, side], + [0.0, side], + [0.0, 0.0], + ]]), + ) + } + + #[test] + fn named_relations_and_relate() { + let s = Srid::new(3375).unwrap(); + let shifted = geom( + s, + Geometry::polygon(vec![vec![ + [10.0, 0.0], + [20.0, 0.0], + [20.0, 10.0], + [10.0, 10.0], + [10.0, 0.0], + ]]), + ); + assert_eq!( + eval("st_touches", &[square(s, 10.0), shifted.clone()]), + Some(Ok(Value::Bool(true))) + ); + assert_eq!( + eval("st_covers", &[square(s, 20.0), square(s, 10.0)]), + Some(Ok(Value::Bool(true))) + ); + assert_eq!( + eval("st_relate", &[square(s, 10.0), shifted.clone()]), + Some(Ok(Value::String("FF2F11212".into()))) + ); + assert_eq!( + eval( + "st_relate", + &[square(s, 10.0), shifted, Value::String("FF*F1****".into())] + ), + Some(Ok(Value::Bool(true))) + ); + } + + #[test] + fn empty_operands_follow_postgis() { + let empty = geom(Srid::WGS84, Geometry::empty_point()); + let pt = geom(Srid::WGS84, Geometry::point(0.0, 0.0)); + assert_eq!( + eval("st_intersects", &[empty.clone(), pt.clone()]), + Some(Ok(Value::Bool(false))) + ); + assert_eq!( + eval("st_disjoint", &[empty.clone(), pt.clone()]), + Some(Ok(Value::Bool(true))) + ); + assert_eq!( + eval("st_equals", &[empty.clone(), empty.clone()]), + Some(Ok(Value::Bool(true))) + ); + assert_eq!( + eval("st_dwithin", &[empty, pt, Value::Float(1e9)]), + Some(Ok(Value::Bool(false))) + ); + } + + #[test] + fn three_d_within_and_intersects() { + let z = |x: f64, h: f64| { + Value::Geometry( + SridGeometry::with_ordinates( + utm48n(), + Geometry::point(x, 0.0), + Ordinates::new(Some(vec![h]), None), + ) + .unwrap(), + ) + }; + let args = |d: f64| vec![z(500_000.0, 0.0), z(500_003.0, 4.0), Value::Float(d)]; + assert_eq!( + eval("st_3ddwithin", &args(5.0)), + Some(Ok(Value::Bool(true))) + ); + assert_eq!( + eval("st_3ddwithin", &args(4.9)), + Some(Ok(Value::Bool(false))) + ); + assert_eq!(eval("st_dwithin", &args(4.9)), Some(Ok(Value::Bool(true)))); + assert_eq!( + eval("st_3dintersects", &[z(500_000.0, 1.0), z(500_000.0, 1.0)]), + Some(Ok(Value::Bool(true))) + ); + assert_eq!( + eval("st_3dintersects", &[z(500_000.0, 1.0), z(500_000.0, 2.0)]), + Some(Ok(Value::Bool(false))) + ); + } + + #[test] + fn negative_dwithin_distance_fails() { + let args = vec![ + geom(utm48n(), Geometry::point(0.0, 0.0)), + geom(utm48n(), Geometry::point(0.0, 0.0)), + Value::Float(-1.0), + ]; + assert!(matches!( + eval("st_dwithin", &args), + Some(Err(EvalError::ArgumentValue { .. })) + )); + } + + #[test] + fn validity_reason_text() { + let bowtie = geom( + Srid::WGS84, + Geometry::polygon(vec![vec![ + [0.0, 0.0], + [1.0, 1.0], + [1.0, 0.0], + [0.0, 1.0], + [0.0, 0.0], + ]]), + ); + let Some(Ok(Value::String(reason))) = eval("st_isvalidreason", &[bowtie]) else { + panic!(); + }; + assert!(reason.contains("crosses itself"), "{reason}"); + } } diff --git a/nodedb-query/src/geo_functions/srid_refs.rs b/nodedb-query/src/geo_functions/srid_refs.rs new file mode 100644 index 000000000..0ae79f7b5 --- /dev/null +++ b/nodedb-query/src/geo_functions/srid_refs.rs @@ -0,0 +1,168 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Where a stored definition names an SRID as an SRID. +//! +//! A code counts only in an SRID role: +//! +//! - an integer literal in the SRID argument of a geo function, at the +//! position its catalog argument shape declares; +//! - a geometry literal that carries the code: an EWKT `SRID=;` +//! prefix, a GeoJSON `crs` member, hex EWKB, or a native geometry; +//! - a `GEOMETRY(, )` or `GEOGRAPHY(, )` type. +//! +//! The same number in any other role, such as `amount < 910001`, does not +//! count. + +use nodedb_spatial::SridCheck; +use nodedb_types::Value; + +use super::catalog::lookup; +use crate::expr::SqlExpr; + +/// The zero-based SRID argument position of geo function `name`, when its +/// argument shape has one. +pub fn srid_arg_position(name: &str) -> Option { + lookup(name).and_then(|spec| spec.args.srid_position()) +} + +/// The code a literal SRID argument holds, coerced as the evaluator +/// coerces it: an integer, an integral float, or integer text. +pub fn literal_srid_code(value: &Value) -> Option { + match value { + Value::Integer(i) => Some(*i), + Value::Float(f) if f.is_finite() && f.fract() == 0.0 => Some(*f as i64), + Value::String(s) => s.trim().parse::().ok(), + _ => None, + } +} + +/// The SRID a geometry literal carries. `None` for a value that is not a +/// geometry. +pub fn literal_geometry_srid(value: &Value) -> Option { + match value { + Value::Geometry(g) => Some(g.srid.code()), + Value::String(s) => nodedb_spatial::geometry_from_text(s, SridCheck::Syntax) + .ok() + .map(|g| g.srid.code()), + Value::Bytes(b) => nodedb_spatial::geometry_from_bytes(b, SridCheck::Syntax) + .ok() + .map(|g| g.srid.code()), + _ => None, + } +} + +/// Whether `expr` names `code` in an SRID role. +pub fn expr_names_srid(expr: &SqlExpr, code: u32) -> bool { + let names = |e: &SqlExpr| expr_names_srid(e, code); + match expr { + SqlExpr::Literal(value) => literal_geometry_srid(value) == Some(code), + SqlExpr::Function { name, args } => { + let at = srid_arg_position(name); + args.iter().enumerate().any(|(i, arg)| { + (Some(i) == at && srid_literal(arg) == Some(i64::from(code))) || names(arg) + }) + } + SqlExpr::BinaryOp { left, right, .. } => names(left) || names(right), + SqlExpr::Negate(inner) | SqlExpr::Cast { expr: inner, .. } => names(inner), + SqlExpr::IsNull { expr: inner, .. } => names(inner), + SqlExpr::Case { + operand, + when_thens, + else_expr, + } => { + operand.as_deref().is_some_and(names) + || when_thens.iter().any(|(w, t)| names(w) || names(t)) + || else_expr.as_deref().is_some_and(names) + } + SqlExpr::Coalesce(items) => items.iter().any(names), + SqlExpr::NullIf(a, b) => names(a) || names(b), + SqlExpr::Column(_) | SqlExpr::OldColumn(_) | SqlExpr::ExcludedColumn(_) => false, + } +} + +/// The code an SRID argument holds when it is a literal, through casts. +fn srid_literal(expr: &SqlExpr) -> Option { + match expr { + SqlExpr::Literal(value) => literal_srid_code(value), + SqlExpr::Cast { expr, .. } => srid_literal(expr), + _ => None, + } +} + +/// Whether type text declares `code`: `GEOMETRY(, )` or +/// `GEOGRAPHY(, )`, alone or as one `|` alternative. +pub fn type_names_srid(type_text: &str, code: u32) -> bool { + type_text + .split('|') + .any(|alternative| type_srid(alternative) == Some(code)) +} + +/// The SRID typmod of one geometry type. +fn type_srid(type_text: &str) -> Option { + let text = type_text.trim(); + let open = text.find('(')?; + let name = text[..open].trim(); + if !(name.eq_ignore_ascii_case("geometry") || name.eq_ignore_ascii_case("geography")) { + return None; + } + let inner = text[open + 1..].strip_suffix(')')?; + inner.rsplit(',').next()?.trim().parse::().ok() +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::expr_parse::parse_generated_expr; + + const CODE: u32 = 910_042; + + fn names(text: &str) -> bool { + let (expr, _) = parse_generated_expr(text).expect("parses"); + expr_names_srid(&expr, CODE) + } + + #[test] + fn srid_arguments_name_the_code() { + assert!(names("ST_Transform(geom, 910042)")); + assert!(names("ST_SetSRID(geom, 910042)")); + assert!(names("st_geomfromtext('POINT(1 2)', 910042)")); + assert!(names("ST_SetSRID(geom, '910042')")); + assert!(names("ST_SRID(ST_Transform(geom, 910042)) = 1")); + } + + #[test] + fn geometry_literals_name_their_srid() { + assert!(names("ST_Distance(geom, 'SRID=910042;POINT(1 2)')")); + assert!(names( + "ST_Distance(geom, '{\"type\":\"Point\",\"coordinates\":[1,2],\ + \"crs\":{\"type\":\"name\",\"properties\":{\"name\":\"NODEDB:910042\"}}}')" + )); + } + + #[test] + fn the_number_in_another_role_does_not_count() { + assert!(!names("amount < 910042")); + assert!(!names("ST_SRID(geom) = 910042")); + assert!(!names("ST_Buffer(geom, 910042)")); + assert!(!names("ST_Transform(geom, 910043)")); + assert!(!names("'910042'")); + } + + #[test] + fn geometry_typmods_name_their_srid() { + assert!(type_names_srid("GEOMETRY(Point, 910042)", CODE)); + assert!(type_names_srid("geography(POLYGON,910042)|NULL", CODE)); + assert!(!type_names_srid("GEOMETRY", CODE)); + assert!(!type_names_srid("DECIMAL(10, 910042)", CODE)); + assert!(!type_names_srid("GEOMETRY(Point, 4326)", CODE)); + } + + #[test] + fn every_srid_shape_has_its_position() { + assert_eq!(srid_arg_position("ST_Transform"), Some(1)); + assert_eq!(srid_arg_position("st_geomfromwkb"), Some(1)); + assert_eq!(srid_arg_position("ST_MakeEnvelope"), None); + assert_eq!(srid_arg_position("ST_Buffer"), None); + assert_eq!(srid_arg_position("upper"), None); + } +} diff --git a/nodedb-query/src/json_expr.rs b/nodedb-query/src/json_expr.rs index ec55cc236..c7c2ee5e8 100644 --- a/nodedb-query/src/json_expr.rs +++ b/nodedb-query/src/json_expr.rs @@ -19,13 +19,14 @@ use crate::json_ops::compare_json_numbers; pub fn eval_expr_on_json( expr: &SqlExpr, doc: &serde_json::Value, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result { match expr { SqlExpr::Column(name) => Ok(doc.get(name).cloned().unwrap_or(serde_json::Value::Null)), SqlExpr::Literal(v) => Ok(serde_json::Value::from(v.clone())), other => { let row = nodedb_types::Value::from(doc.clone()); - Ok(serde_json::Value::from(other.eval(&row)?)) + Ok(serde_json::Value::from(other.eval(&row, crs)?)) } } } diff --git a/nodedb-query/src/msgpack_scan/aggregate_helpers.rs b/nodedb-query/src/msgpack_scan/aggregate_helpers.rs index 904222530..7fd518abd 100644 --- a/nodedb-query/src/msgpack_scan/aggregate_helpers.rs +++ b/nodedb-query/src/msgpack_scan/aggregate_helpers.rs @@ -6,8 +6,10 @@ //! streaming aggregate accumulators in the `nodedb` crate. //! Each function operates on a single raw MessagePack document byte slice and //! returns only the scalar value needed by the calling accumulator — no -//! document bytes are retained after the call returns. +//! document bytes are retained after the call returns. Geo functions in an +//! argument expression resolve SRIDs through the `crs` argument. +use nodedb_crs::CrsContext; use nodedb_types::Value; use crate::expr::{EvalError, SqlExpr}; @@ -29,11 +31,11 @@ use crate::value_ops; /// surfaces as SQLSTATE `22012`, exactly like a WHERE/projection expression, /// rather than silently dropping the row from the aggregate. #[inline] -fn eval_expr(doc: &[u8], expr: &SqlExpr) -> Result, EvalError> { +fn eval_expr(doc: &[u8], expr: &SqlExpr, crs: &CrsContext<'_>) -> Result, EvalError> { let Ok(doc_val) = nodedb_types::json_msgpack::value_from_msgpack(doc) else { return Ok(None); }; - Ok(Some(expr.eval(&doc_val)?)) + Ok(Some(expr.eval(&doc_val, crs)?)) } // ── Public extraction helpers ────────────────────────────────────────────── @@ -46,9 +48,10 @@ pub fn extract_f64( doc: &[u8], field: &str, expr: Option<&SqlExpr>, + crs: &CrsContext<'_>, ) -> Result, EvalError> { if let Some(expr) = expr { - return Ok(eval_expr(doc, expr)?.and_then(|v| value_ops::value_to_f64(&v, false))); + return Ok(eval_expr(doc, expr, crs)?.and_then(|v| value_ops::value_to_f64(&v, false))); } let Some((start, _end)) = extract_field(doc, 0, field) else { return Ok(None); @@ -69,9 +72,10 @@ pub fn extract_sum_value( doc: &[u8], field: &str, expr: Option<&SqlExpr>, + crs: &CrsContext<'_>, ) -> Result, EvalError> { if let Some(expr) = expr { - return Ok(eval_expr(doc, expr)?.and_then(|v| crate::numeric_sum::sum_input(&v))); + return Ok(eval_expr(doc, expr, crs)?.and_then(|v| crate::numeric_sum::sum_input(&v))); } let Some((start, _end)) = extract_field(doc, 0, field) else { return Ok(None); @@ -88,9 +92,10 @@ pub fn extract_str( doc: &[u8], field: &str, expr: Option<&SqlExpr>, + crs: &CrsContext<'_>, ) -> Result, EvalError> { if let Some(expr) = expr { - return Ok(eval_expr(doc, expr)?.map(|v| value_ops::value_to_display_string(&v))); + return Ok(eval_expr(doc, expr, crs)?.map(|v| value_ops::value_to_display_string(&v))); } let Some((start, _end)) = extract_field(doc, 0, field) else { return Ok(None); @@ -104,9 +109,10 @@ pub fn extract_value( doc: &[u8], field: &str, expr: Option<&SqlExpr>, + crs: &CrsContext<'_>, ) -> Result, EvalError> { if let Some(expr) = expr { - return eval_expr(doc, expr); + return eval_expr(doc, expr, crs); } let Some((start, end)) = extract_field(doc, 0, field) else { return Ok(None); @@ -124,9 +130,10 @@ pub fn extract_bytes( doc: &[u8], field: &str, expr: Option<&SqlExpr>, + crs: &CrsContext<'_>, ) -> Result>, EvalError> { if let Some(expr) = expr { - let Some(val) = eval_expr(doc, expr)? else { + let Some(val) = eval_expr(doc, expr, crs)? else { return Ok(None); }; return Ok(nodedb_types::json_msgpack::value_to_msgpack(&val).ok()); @@ -144,8 +151,9 @@ pub fn extract_non_null( doc: &[u8], field: &str, expr: Option<&SqlExpr>, + crs: &CrsContext<'_>, ) -> Result, EvalError> { - let Some(v) = extract_value(doc, field, expr)? else { + let Some(v) = extract_value(doc, field, expr, crs)? else { return Ok(None); }; Ok(if v.is_null() { None } else { Some(()) }) diff --git a/nodedb-query/src/msgpack_scan/filter.rs b/nodedb-query/src/msgpack_scan/filter.rs index 27d3c0380..e5b882961 100644 --- a/nodedb-query/src/msgpack_scan/filter.rs +++ b/nodedb-query/src/msgpack_scan/filter.rs @@ -9,6 +9,8 @@ use std::cmp::Ordering; +use nodedb_crs::CrsContext; + use crate::expr::EvalError; use crate::msgpack_scan::field::extract_field; use crate::msgpack_scan::index::FieldIndex; @@ -29,9 +31,13 @@ impl ScanFilter { /// `filters.iter().all(|f| f.matches_binary(doc))` have a single /// drop-in replacement instead of each hand-rolling the same /// short-circuit loop. - pub fn all_match_binary(group: &[ScanFilter], doc: &[u8]) -> Result { + pub fn all_match_binary( + group: &[ScanFilter], + doc: &[u8], + crs: &CrsContext<'_>, + ) -> Result { for f in group { - if !f.matches_binary(doc)? { + if !f.matches_binary(doc, crs)? { return Ok(false); } } @@ -43,9 +49,10 @@ impl ScanFilter { group: &[ScanFilter], doc: &[u8], idx: &FieldIndex, + crs: &CrsContext<'_>, ) -> Result { for f in group { - if !f.matches_binary_indexed(doc, idx)? { + if !f.matches_binary_indexed(doc, idx, crs)? { return Ok(false); } } @@ -63,12 +70,14 @@ impl ScanFilter { /// takes a modulus by zero — see /// `scan_filter::ScanFilter::matches_value` for the WHERE-clause /// behavior-flip rationale, which applies identically here. - pub fn matches_binary(&self, doc: &[u8]) -> Result { + /// + /// Geo functions in an expression filter resolve SRIDs through `crs`. + pub fn matches_binary(&self, doc: &[u8], crs: &CrsContext<'_>) -> Result { match self.op { FilterOp::MatchAll | FilterOp::Exists | FilterOp::NotExists => return Ok(true), FilterOp::Or => { for clause in &self.clauses { - if Self::all_match_binary(clause, doc)? { + if Self::all_match_binary(clause, doc, crs)? { return Ok(true); } } @@ -76,7 +85,9 @@ impl ScanFilter { } FilterOp::Expr => { return match (self.expr.as_ref(), nodedb_types::value_from_msgpack(doc)) { - (Some(expr), Ok(value)) => Ok(crate::value_ops::is_truthy(&expr.eval(&value)?)), + (Some(expr), Ok(value)) => { + Ok(crate::value_ops::is_truthy(&expr.eval(&value, crs)?)) + } _ => Ok(false), }; } @@ -124,12 +135,17 @@ impl ScanFilter { /// Evaluate using a pre-built `FieldIndex` for O(1) field lookup. /// /// Use when evaluating multiple predicates on the same document. - pub fn matches_binary_indexed(&self, doc: &[u8], idx: &FieldIndex) -> Result { + pub fn matches_binary_indexed( + &self, + doc: &[u8], + idx: &FieldIndex, + crs: &CrsContext<'_>, + ) -> Result { match self.op { FilterOp::MatchAll | FilterOp::Exists | FilterOp::NotExists => return Ok(true), FilterOp::Or => { for clause in &self.clauses { - if Self::all_match_binary_indexed(clause, doc, idx)? { + if Self::all_match_binary_indexed(clause, doc, idx, crs)? { return Ok(true); } } @@ -137,7 +153,9 @@ impl ScanFilter { } FilterOp::Expr => { return match (self.expr.as_ref(), nodedb_types::value_from_msgpack(doc)) { - (Some(expr), Ok(value)) => Ok(crate::value_ops::is_truthy(&expr.eval(&value)?)), + (Some(expr), Ok(value)) => { + Ok(crate::value_ops::is_truthy(&expr.eval(&value, crs)?)) + } _ => Ok(false), }; } @@ -356,6 +374,10 @@ fn array_any(buf: &[u8], start: usize, mut pred: impl FnMut(usize) -> bool) -> b #[cfg(test)] mod tests { use super::*; + + fn crs() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } use serde_json::json; fn encode(v: &serde_json::Value) -> Vec { @@ -377,12 +399,12 @@ mod tests { let doc = encode(&json!({"age": 25})); assert!( filter("age", "eq", nodedb_types::Value::Integer(25)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("age", "eq", nodedb_types::Value::Integer(30)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -401,24 +423,32 @@ mod tests { let later = Value::NaiveDateTime(NdbDateTime::from_micros(MICROS + 1)); assert!( filter("ts", "eq", same.clone()) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("ts", "eq", later.clone()) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) + .unwrap() + ); + assert!( + filter("ts", "lt", later) + .matches_binary(&doc, &crs()) + .unwrap() + ); + assert!( + filter("ts", "gte", same) + .matches_binary(&doc, &crs()) .unwrap() ); - assert!(filter("ts", "lt", later).matches_binary(&doc).unwrap()); - assert!(filter("ts", "gte", same).matches_binary(&doc).unwrap()); assert!( filter("ts", "eq", Value::String("2020-03-05T10:00:00Z".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("ts", "gt", Value::String("2020-03-05 09:00:00".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); let idx = FieldIndex::build(&doc, 0).unwrap_or_else(FieldIndex::empty); @@ -428,7 +458,7 @@ mod tests { "eq", Value::NaiveDateTime(NdbDateTime::from_micros(MICROS)) ) - .matches_binary_indexed(&doc, &idx) + .matches_binary_indexed(&doc, &idx, &crs()) .unwrap() ); } @@ -438,7 +468,7 @@ mod tests { let doc = encode(&json!({"age": 25})); assert!( filter("age", "eq", nodedb_types::Value::String("25".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -448,7 +478,7 @@ mod tests { let doc = encode(&json!({"score": "90"})); assert!( filter("score", "gt", nodedb_types::Value::Integer(80)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -458,7 +488,7 @@ mod tests { let doc = encode(&json!({"name": "alice"})); assert!( filter("name", "eq", nodedb_types::Value::String("alice".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -468,7 +498,7 @@ mod tests { let doc = encode(&json!({"age": 25})); assert!( filter("age", "eq", nodedb_types::Value::String("25".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -478,7 +508,7 @@ mod tests { let doc = encode(&json!({"score": "90"})); assert!( filter("score", "eq", nodedb_types::Value::Integer(90)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -488,12 +518,12 @@ mod tests { let doc = encode(&json!({"x": 1})); assert!( filter("x", "ne", nodedb_types::Value::Integer(2)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("x", "ne", nodedb_types::Value::Integer(1)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -503,22 +533,22 @@ mod tests { let doc = encode(&json!({"v": 10})); assert!( filter("v", "gt", nodedb_types::Value::Integer(5)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("v", "gt", nodedb_types::Value::Integer(15)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("v", "lt", nodedb_types::Value::Integer(15)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("v", "lt", nodedb_types::Value::Integer(5)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -528,22 +558,22 @@ mod tests { let doc = encode(&json!({"v": 10})); assert!( filter("v", "gte", nodedb_types::Value::Integer(10)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("v", "gte", nodedb_types::Value::Integer(5)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("v", "gte", nodedb_types::Value::Integer(15)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("v", "lte", nodedb_types::Value::Integer(10)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -553,17 +583,17 @@ mod tests { let doc = encode(&json!({"a": null, "b": 1})); assert!( filter("a", "is_null", nodedb_types::Value::Null) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("b", "is_null", nodedb_types::Value::Null) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("b", "is_not_null", nodedb_types::Value::Null) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -573,7 +603,7 @@ mod tests { let doc = encode(&json!({"x": 1})); assert!( filter("missing", "is_null", nodedb_types::Value::Null) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -587,7 +617,7 @@ mod tests { "contains", nodedb_types::Value::String("world".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -597,17 +627,17 @@ mod tests { let doc = encode(&json!({"name": "Alice"})); assert!( filter("name", "like", nodedb_types::Value::String("Ali%".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("name", "like", nodedb_types::Value::String("ali%".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("name", "ilike", nodedb_types::Value::String("ali%".into())) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( @@ -616,7 +646,7 @@ mod tests { "not_like", nodedb_types::Value::String("Bob%".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -636,7 +666,7 @@ mod tests { clauses: vec![], expr: None } - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); @@ -649,7 +679,7 @@ mod tests { clauses: vec![], expr: None } - .matches_binary(&doc2) + .matches_binary(&doc2, &crs()) .unwrap() ); } @@ -663,7 +693,7 @@ mod tests { "array_contains", nodedb_types::Value::String("rust".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( @@ -672,7 +702,7 @@ mod tests { "array_contains", nodedb_types::Value::String("slow".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -692,7 +722,7 @@ mod tests { clauses: vec![], expr: None } - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -712,7 +742,7 @@ mod tests { clauses: vec![], expr: None } - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -730,7 +760,7 @@ mod tests { ], expr: None, }; - assert!(f.matches_binary(&doc).unwrap()); + assert!(f.matches_binary(&doc, &crs()).unwrap()); } #[test] @@ -738,7 +768,7 @@ mod tests { let doc = encode(&json!({"any": "thing"})); assert!( filter("", "match_all", nodedb_types::Value::Null) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -748,12 +778,12 @@ mod tests { let doc = encode(&json!({"temp": 36.6})); assert!( filter("temp", "gt", nodedb_types::Value::Float(30.0)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( filter("temp", "lt", nodedb_types::Value::Float(40.0)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -763,12 +793,12 @@ mod tests { let doc = encode(&json!({"active": true})); assert!( filter("active", "eq", nodedb_types::Value::Bool(true)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( !filter("active", "eq", nodedb_types::Value::Bool(false)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -778,7 +808,7 @@ mod tests { let doc = encode(&json!({"score": "90"})); assert!( filter("score", "gt", nodedb_types::Value::Integer(80)) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -792,7 +822,7 @@ mod tests { "lte", nodedb_types::Value::String("2026-07-02 14:00:00".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( @@ -801,7 +831,7 @@ mod tests { "lt", nodedb_types::Value::String("2026-07-02 14:00:00".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( @@ -810,7 +840,7 @@ mod tests { "gte", nodedb_types::Value::String("2026-07-02 12:00:00".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); assert!( @@ -819,7 +849,7 @@ mod tests { "eq", nodedb_types::Value::String("2026-07-02 13:00:00".into()) ) - .matches_binary(&doc) + .matches_binary(&doc, &crs()) .unwrap() ); } @@ -841,8 +871,8 @@ mod tests { for f in &filters { assert_eq!( - f.matches_binary(&doc).unwrap(), - f.matches_binary_indexed(&doc, &idx).unwrap(), + f.matches_binary(&doc, &crs()).unwrap(), + f.matches_binary_indexed(&doc, &idx, &crs()).unwrap(), "mismatch for field={} op={:?}", f.field, f.op diff --git a/nodedb-query/src/msgpack_scan/group_key.rs b/nodedb-query/src/msgpack_scan/group_key.rs index 2f1ef33fd..bf64b9195 100644 --- a/nodedb-query/src/msgpack_scan/group_key.rs +++ b/nodedb-query/src/msgpack_scan/group_key.rs @@ -5,6 +5,7 @@ //! Builds a deterministic string key from field values extracted directly //! from msgpack bytes, avoiding full document decode. +use nodedb_crs::CrsContext; use nodedb_types::{NdbDateTime, read_instant}; use crate::expr::{EvalError, GroupKeySpec, SqlExpr}; @@ -31,7 +32,13 @@ use crate::msgpack_scan::reader::{read_f64, read_integer, read_null, read_str}; /// `b = 0` fails the whole statement with SQLSTATE `22012`, exactly like a /// WHERE/projection expression, instead of silently grouping the row under a /// `null` key. -pub fn build_group_key(doc: &[u8], group_keys: &[GroupKeySpec]) -> Result { +/// +/// Geo functions in a computed key resolve SRIDs through `crs`. +pub fn build_group_key( + doc: &[u8], + group_keys: &[GroupKeySpec], + crs: &CrsContext<'_>, +) -> Result { if group_keys.is_empty() { return Ok("__all__".to_string()); } @@ -50,7 +57,7 @@ pub fn build_group_key(doc: &[u8], group_keys: &[GroupKeySpec]) -> Result 0 { key_buf.push(','); } - append_computed_value(&mut key_buf, doc, expr)?; + append_computed_value(&mut key_buf, doc, expr, crs)?; written += 1; } } @@ -65,6 +72,7 @@ pub fn build_group_key_indexed( doc: &[u8], group_keys: &[GroupKeySpec], idx: &FieldIndex, + crs: &CrsContext<'_>, ) -> Result { if group_keys.is_empty() { return Ok("__all__".to_string()); @@ -87,7 +95,7 @@ pub fn build_group_key_indexed( if written > 0 { key_buf.push(','); } - append_computed_value(&mut key_buf, doc, expr)?; + append_computed_value(&mut key_buf, doc, expr, crs)?; written += 1; } } @@ -151,12 +159,17 @@ fn append_field_value_range(buf: &mut String, doc: &[u8], range: Option<(usize, /// returns `Err(EvalError::DivisionByZero)`: a computed GROUP BY /// key gets the same `22012` statement-failure treatment as a WHERE/projection /// expression rather than silently grouping the row under a `null` key. -fn append_computed_value(buf: &mut String, doc: &[u8], expr: &SqlExpr) -> Result<(), EvalError> { +fn append_computed_value( + buf: &mut String, + doc: &[u8], + expr: &SqlExpr, + crs: &CrsContext<'_>, +) -> Result<(), EvalError> { let Ok(doc_val) = nodedb_types::json_msgpack::value_from_msgpack(doc) else { buf.push_str("null"); return Ok(()); }; - let val = expr.eval(&doc_val)?; + let val = expr.eval(&doc_val, crs)?; match nodedb_types::json_msgpack::value_to_msgpack(&val) { Ok(vb) => append_value_at(buf, &vb, 0, vb.len()), Err(_) => buf.push_str("null"), @@ -167,6 +180,10 @@ fn append_computed_value(buf: &mut String, doc: &[u8], expr: &SqlExpr) -> Result #[cfg(test)] mod tests { use super::*; + + fn crs() -> CrsContext<'static> { + CrsContext::builtin_only() + } use serde_json::json; fn encode(v: &serde_json::Value) -> Vec { @@ -180,14 +197,14 @@ mod tests { #[test] fn single_string_field() { let doc = encode(&json!({"name": "alice", "age": 30})); - let key = build_group_key(&doc, &keys(&["name"])).unwrap(); + let key = build_group_key(&doc, &keys(&["name"]), &crs()).unwrap(); assert_eq!(key, r#"["alice"]"#); } #[test] fn single_int_field() { let doc = encode(&json!({"status": 200})); - let key = build_group_key(&doc, &keys(&["status"])).unwrap(); + let key = build_group_key(&doc, &keys(&["status"]), &crs()).unwrap(); assert_eq!(key, "[200]"); } @@ -196,48 +213,48 @@ mod tests { #[test] fn large_integers_key_exactly() { let doc = encode(&json!({"v": u64::MAX})); - let key = build_group_key(&doc, &keys(&["v"])).unwrap(); + let key = build_group_key(&doc, &keys(&["v"]), &crs()).unwrap(); assert_eq!(key, "[18446744073709551615]"); let a = encode(&json!({"v": 9_007_199_254_740_993_i64})); let b = encode(&json!({"v": 9_007_199_254_740_992_i64})); assert_ne!( - build_group_key(&a, &keys(&["v"])).unwrap(), - build_group_key(&b, &keys(&["v"])).unwrap() + build_group_key(&a, &keys(&["v"]), &crs()).unwrap(), + build_group_key(&b, &keys(&["v"]), &crs()).unwrap() ); } #[test] fn multiple_fields() { let doc = encode(&json!({"city": "ny", "year": 2024})); - let key = build_group_key(&doc, &keys(&["city", "year"])).unwrap(); + let key = build_group_key(&doc, &keys(&["city", "year"]), &crs()).unwrap(); assert_eq!(key, r#"["ny",2024]"#); } #[test] fn missing_field_is_null() { let doc = encode(&json!({"x": 1})); - let key = build_group_key(&doc, &keys(&["missing"])).unwrap(); + let key = build_group_key(&doc, &keys(&["missing"]), &crs()).unwrap(); assert_eq!(key, "[null]"); } #[test] fn empty_group_fields() { let doc = encode(&json!({"x": 1})); - let key = build_group_key(&doc, &[]).unwrap(); + let key = build_group_key(&doc, &[], &crs()).unwrap(); assert_eq!(key, "__all__"); } #[test] fn null_field_value() { let doc = encode(&json!({"v": null})); - let key = build_group_key(&doc, &keys(&["v"])).unwrap(); + let key = build_group_key(&doc, &keys(&["v"]), &crs()).unwrap(); assert_eq!(key, "[null]"); } #[test] fn float_field() { let doc = encode(&json!({"temp": 36.6})); - let key = build_group_key(&doc, &keys(&["temp"])).unwrap(); + let key = build_group_key(&doc, &keys(&["temp"]), &crs()).unwrap(); assert_eq!(key, "[36.6]"); } @@ -256,11 +273,11 @@ mod tests { ); crate::msgpack_scan::write_kv_i64(&mut doc, "n", 1); - let key = build_group_key(&doc, &keys(&["ts", "n"])).unwrap(); + let key = build_group_key(&doc, &keys(&["ts", "n"]), &crs()).unwrap(); assert_eq!(key, r#"["2020-03-05T10:00:00.000000Z",1]"#); let idx = FieldIndex::build(&doc, 0).unwrap_or_else(FieldIndex::empty); assert_eq!( - build_group_key_indexed(&doc, &keys(&["ts", "n"]), &idx).unwrap(), + build_group_key_indexed(&doc, &keys(&["ts", "n"]), &idx, &crs()).unwrap(), key ); } @@ -283,11 +300,11 @@ mod tests { let lower = encode(&json!({"label": "alpha", "score": 7})); let upper = encode(&json!({"label": "ALPHA", "score": 3})); assert_eq!( - build_group_key(&lower, &[upper_label_spec()]).unwrap(), + build_group_key(&lower, &[upper_label_spec()], &crs()).unwrap(), r#"["ALPHA"]"# ); assert_eq!( - build_group_key(&upper, &[upper_label_spec()]).unwrap(), + build_group_key(&upper, &[upper_label_spec()], &crs()).unwrap(), r#"["ALPHA"]"# ); } @@ -308,12 +325,12 @@ mod tests { }), }; assert_eq!( - build_group_key(&doc, std::slice::from_ref(&spec)), + build_group_key(&doc, std::slice::from_ref(&spec), &crs()), Err(EvalError::DivisionByZero) ); let idx = FieldIndex::build(&doc, 0).unwrap_or_else(FieldIndex::empty); assert_eq!( - build_group_key_indexed(&doc, std::slice::from_ref(&spec), &idx), + build_group_key_indexed(&doc, std::slice::from_ref(&spec), &idx, &crs()), Err(EvalError::DivisionByZero) ); } @@ -324,8 +341,8 @@ mod tests { let specs = [upper_label_spec()]; let idx = FieldIndex::build(&doc, 0).unwrap_or_else(FieldIndex::empty); assert_eq!( - build_group_key(&doc, &specs).unwrap(), - build_group_key_indexed(&doc, &specs, &idx).unwrap(), + build_group_key(&doc, &specs, &crs()).unwrap(), + build_group_key_indexed(&doc, &specs, &idx, &crs()).unwrap(), ); } @@ -333,6 +350,9 @@ mod tests { fn mixed_column_and_computed_keys() { let doc = encode(&json!({"region": "us", "label": "west"})); let specs = [GroupKeySpec::column("region"), upper_label_spec()]; - assert_eq!(build_group_key(&doc, &specs).unwrap(), r#"["us","WEST"]"#); + assert_eq!( + build_group_key(&doc, &specs, &crs()).unwrap(), + r#"["us","WEST"]"# + ); } } diff --git a/nodedb-query/src/scan_filter/types.rs b/nodedb-query/src/scan_filter/types.rs index 1d94abbf7..93cb7a913 100644 --- a/nodedb-query/src/scan_filter/types.rs +++ b/nodedb-query/src/scan_filter/types.rs @@ -84,9 +84,10 @@ impl ScanFilter { pub fn all_match_value( group: &[ScanFilter], doc: &nodedb_types::Value, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result { for f in group { - if !f.matches_value(doc)? { + if !f.matches_value(doc, crs)? { return Ok(false); } } @@ -105,12 +106,18 @@ impl ScanFilter { /// `10 / denom > 1` must fail the whole query with SQLSTATE `22012`, /// matching Postgres, rather than evaluate to `Value::Null`/`false` /// (silently filtering the row out) when `denom` is `0`. - pub fn matches_value(&self, doc: &nodedb_types::Value) -> Result { + /// + /// Geo functions in an expression filter resolve SRIDs through `crs`. + pub fn matches_value( + &self, + doc: &nodedb_types::Value, + crs: &nodedb_crs::CrsContext<'_>, + ) -> Result { match self.op { FilterOp::MatchAll | FilterOp::Exists | FilterOp::NotExists => return Ok(true), FilterOp::Or => { for clause in &self.clauses { - if Self::all_match_value(clause, doc)? { + if Self::all_match_value(clause, doc, crs)? { return Ok(true); } } @@ -118,7 +125,7 @@ impl ScanFilter { } FilterOp::Expr => { return match &self.expr { - Some(expr) => Ok(crate::value_ops::is_truthy(&expr.eval(doc)?)), + Some(expr) => Ok(crate::value_ops::is_truthy(&expr.eval(doc, crs)?)), None => Ok(false), }; } diff --git a/nodedb-query/src/window/aggregate.rs b/nodedb-query/src/window/aggregate.rs index c091e6a87..75e335dc8 100644 --- a/nodedb-query/src/window/aggregate.rs +++ b/nodedb-query/src/window/aggregate.rs @@ -12,6 +12,7 @@ //! //! A float result keeps NaN and ±Infinity, as in PostgreSQL. +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::arg::{ArgValues, arg_at, eval_arg_values}; @@ -26,11 +27,12 @@ pub(super) fn apply_aggregate_window( rows: &mut [(String, Value)], indices: &[usize], spec: &WindowFuncSpec, + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { // The argument is an expression evaluated per row, not a column name: a // zero divisor inside it fails the statement here rather than folding the // aggregate to a silently-wrong total. - let arg_values = eval_arg_values(rows, indices, spec, 0)?; + let arg_values = eval_arg_values(rows, indices, spec, 0, crs)?; // Fast path: RANGE UNBOUNDED PRECEDING TO CURRENT ROW is the most common // pattern (the PostgreSQL default for ordered windows). Use the running @@ -40,11 +42,11 @@ pub(super) fn apply_aggregate_window( && matches!(spec.frame.end, FrameBound::CurrentRow); if use_running { - running_aggregate(rows, indices, spec, &arg_values)?; + running_aggregate(rows, indices, spec, &arg_values, crs)?; return Ok(()); } - per_row_aggregate(rows, indices, spec, &arg_values) + per_row_aggregate(rows, indices, spec, &arg_values, crs) } /// Per-row frame evaluator. @@ -59,6 +61,7 @@ fn per_row_aggregate( indices: &[usize], spec: &WindowFuncSpec, arg_values: &ArgValues, + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { let len = indices.len(); if len == 0 { @@ -70,7 +73,7 @@ fn per_row_aggregate( let order_values: Vec = indices .iter() .map(|&i| match order_expr { - Some(expr) => expr.eval(&rows[i].1), + Some(expr) => expr.eval(&rows[i].1, crs), None => Ok(Value::Null), }) .collect::, _>>()?; @@ -169,9 +172,14 @@ mod tests { use super::super::spec::{FrameBound, WindowFrame, WindowFuncSpec}; use super::apply_aggregate_window; use crate::expr::SqlExpr; + use nodedb_crs::CrsContext; use nodedb_types::Value; use serde_json::json; + fn crs() -> CrsContext<'static> { + CrsContext::builtin_only() + } + fn v(j: serde_json::Value) -> Value { Value::from(j) } @@ -236,7 +244,7 @@ mod tests { "n", rows_frame(FrameBound::Preceding(1), FrameBound::Following(1)), ); - apply_aggregate_window(&mut rows, &indices, &spec).unwrap(); + apply_aggregate_window(&mut rows, &indices, &spec, &crs()).unwrap(); // row 0 (n=1): sum of [1,2] = 3 // row 1 (n=2): sum of [1,2,3] = 6 // row 2 (n=3): sum of [2,3,4] = 9 @@ -258,7 +266,7 @@ mod tests { "n", rows_frame(FrameBound::UnboundedPreceding, FrameBound::CurrentRow), ); - apply_aggregate_window(&mut rows, &indices, &spec).unwrap(); + apply_aggregate_window(&mut rows, &indices, &spec, &crs()).unwrap(); assert_eq!(res(&rows[0]), Value::Integer(1)); assert_eq!(res(&rows[1]), Value::Integer(3)); assert_eq!(res(&rows[2]), Value::Integer(6)); @@ -275,7 +283,7 @@ mod tests { "n", rows_frame(FrameBound::CurrentRow, FrameBound::UnboundedFollowing), ); - apply_aggregate_window(&mut rows, &indices, &spec).unwrap(); + apply_aggregate_window(&mut rows, &indices, &spec, &crs()).unwrap(); // row 0: sum 1+2+3+4+5=15 // row 1: sum 2+3+4+5=14 // ... @@ -304,7 +312,7 @@ mod tests { "n", range_frame(FrameBound::UnboundedPreceding, FrameBound::CurrentRow), ); - apply_aggregate_window(&mut rows, &indices, &spec).unwrap(); + apply_aggregate_window(&mut rows, &indices, &spec, &crs()).unwrap(); // Row a (n=1, pos=0): CURRENT ROW expands to last peer at pos=1, sum=1+1=2 assert_eq!(res(&rows[0]), Value::Integer(2)); // Row b (n=1, pos=1): same @@ -326,12 +334,14 @@ mod tests { let indices: Vec = (0..2).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Integer(18_014_398_509_481_985)); let running = range_frame(FrameBound::UnboundedPreceding, FrameBound::CurrentRow); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", running)).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", running), &crs()) + .unwrap(); assert_eq!( results(&rows), vec![ @@ -341,7 +351,8 @@ mod tests { ); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("avg", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("avg", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Float(9_007_199_254_740_992.0)); } @@ -354,7 +365,8 @@ mod tests { ]; let indices: Vec = (0..3).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole()), &crs()) + .unwrap(); let want = i128::from(i64::MAX) + 2 * i128::from(u64::MAX); assert_eq!( res(&rows[0]), @@ -367,12 +379,14 @@ mod tests { let vals = [Value::Integer(2), Value::Float(0.5), Value::Null]; let indices: Vec = (0..3).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Float(2.5)); let one_row = rows_frame(FrameBound::CurrentRow, FrameBound::CurrentRow); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", one_row)).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", one_row), &crs()) + .unwrap(); assert_eq!(res(&rows[2]), Value::Null); } @@ -384,12 +398,14 @@ mod tests { let overflow = [Value::Float(1e308), Value::Float(1e308)]; let mut rows = keyed(&overflow); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Float(f64::INFINITY)); let running = range_frame(FrameBound::UnboundedPreceding, FrameBound::CurrentRow); let mut rows = keyed(&overflow); - apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", running)).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("sum", "v", running), &crs()) + .unwrap(); assert_eq!( results(&rows), vec![Value::Float(1e308), Value::Float(f64::INFINITY)] @@ -397,7 +413,8 @@ mod tests { let cancel = [Value::Float(f64::INFINITY), Value::Float(f64::NEG_INFINITY)]; let mut rows = keyed(&cancel); - apply_aggregate_window(&mut rows, &indices, &make_spec("avg", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("avg", "v", whole()), &crs()) + .unwrap(); assert!(matches!(res(&rows[0]), Value::Float(f) if f.is_nan())); } @@ -437,11 +454,13 @@ mod tests { let indices: Vec = (0..2).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Integer(9_007_199_254_740_992)); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Integer(9_007_199_254_740_993)); } @@ -455,11 +474,13 @@ mod tests { let indices: Vec = (0..3).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[2]), Value::Integer(1_700_000_000_000_000_001)); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[2]), Value::Integer(1_700_000_000_000_000_003)); } @@ -474,11 +495,13 @@ mod tests { let indices: Vec = (0..4).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Float(1.5)); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Integer(9_007_199_254_740_993)); } @@ -490,11 +513,13 @@ mod tests { let indices: Vec = (0..3).collect(); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", whole()), &crs()) + .unwrap(); assert!(matches!(res(&rows[0]), Value::Float(f) if f.is_nan())); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole())).unwrap(); + apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", whole()), &crs()) + .unwrap(); assert_eq!(res(&rows[0]), Value::Float(1.5)); } @@ -509,7 +534,13 @@ mod tests { let running = || range_frame(FrameBound::UnboundedPreceding, FrameBound::CurrentRow); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("min", "v", running())).unwrap(); + apply_aggregate_window( + &mut rows, + &indices, + &make_spec("min", "v", running()), + &crs(), + ) + .unwrap(); assert_eq!( results(&rows), vec![ @@ -520,7 +551,13 @@ mod tests { ); let mut rows = keyed(&vals); - apply_aggregate_window(&mut rows, &indices, &make_spec("max", "v", running())).unwrap(); + apply_aggregate_window( + &mut rows, + &indices, + &make_spec("max", "v", running()), + &crs(), + ) + .unwrap(); assert_eq!( results(&rows), vec![ @@ -549,7 +586,7 @@ mod tests { "n", groups_frame(FrameBound::Preceding(1), FrameBound::Following(1)), ); - apply_aggregate_window(&mut rows, &indices, &spec).unwrap(); + apply_aggregate_window(&mut rows, &indices, &spec, &crs()).unwrap(); // pos=0 (group 0): frame → groups 0..=1 → rows 0..=2 → sum=1+1+2=4 assert_eq!(res(&rows[0]), Value::Integer(4)); // pos=1 (group 0): same frame diff --git a/nodedb-query/src/window/arg.rs b/nodedb-query/src/window/arg.rs index 4562ee954..7f714687a 100644 --- a/nodedb-query/src/window/arg.rs +++ b/nodedb-query/src/window/arg.rs @@ -10,6 +10,7 @@ //! projection or WHERE clause, and a non-column argument yields its computed //! value rather than a NULL placeholder. +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::spec::WindowFuncSpec; @@ -32,13 +33,14 @@ pub(super) fn eval_arg_values( indices: &[usize], spec: &WindowFuncSpec, idx: usize, + crs: &CrsContext<'_>, ) -> Result { let Some(expr) = spec.args.get(idx) else { return Ok(None); }; let values = indices .iter() - .map(|&i| expr.eval(&rows[i].1)) + .map(|&i| expr.eval(&rows[i].1, crs)) .collect::, _>>()?; Ok(Some(values)) } diff --git a/nodedb-query/src/window/eval.rs b/nodedb-query/src/window/eval.rs index 7a5e23f5c..d1429979b 100644 --- a/nodedb-query/src/window/eval.rs +++ b/nodedb-query/src/window/eval.rs @@ -10,6 +10,7 @@ use super::ranking::{ apply_row_number, }; use super::spec::WindowFuncSpec; +use nodedb_crs::CrsContext; /// Evaluate window functions over sorted, partitioned rows. /// @@ -26,32 +27,35 @@ use super::spec::WindowFuncSpec; /// A division/modulo-by-zero in any PARTITION BY / ORDER BY / argument /// expression propagates as `Err(EvalError::DivisionByZero)` rather than /// folding to NULL. +/// +/// Geo functions in any expression resolve SRIDs through `crs`. pub fn evaluate_window_functions( rows: &mut [(String, nodedb_types::Value)], specs: &[WindowFuncSpec], + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { for spec in specs { - let partitions = build_partitions(rows, &spec.partition_by, &spec.order_by)?; + let partitions = build_partitions(rows, &spec.partition_by, &spec.order_by, crs)?; for partition_indices in &partitions { match spec.func_name.as_str() { "row_number" => apply_row_number(rows, partition_indices, &spec.alias), - "rank" => apply_rank(rows, partition_indices, &spec.alias, &spec.order_by)?, + "rank" => apply_rank(rows, partition_indices, &spec.alias, &spec.order_by, crs)?, "dense_rank" => { - apply_dense_rank(rows, partition_indices, &spec.alias, &spec.order_by)? + apply_dense_rank(rows, partition_indices, &spec.alias, &spec.order_by, crs)? } "ntile" => apply_ntile(rows, partition_indices, spec), "percent_rank" => { - apply_percent_rank(rows, partition_indices, &spec.alias, &spec.order_by)? + apply_percent_rank(rows, partition_indices, &spec.alias, &spec.order_by, crs)? } "cume_dist" => { - apply_cume_dist(rows, partition_indices, &spec.alias, &spec.order_by)? + apply_cume_dist(rows, partition_indices, &spec.alias, &spec.order_by, crs)? } - "lag" => apply_lag(rows, partition_indices, spec)?, - "lead" => apply_lead(rows, partition_indices, spec)?, - "nth_value" => apply_nth_value(rows, partition_indices, spec)?, + "lag" => apply_lag(rows, partition_indices, spec, crs)?, + "lead" => apply_lead(rows, partition_indices, spec, crs)?, + "nth_value" => apply_nth_value(rows, partition_indices, spec, crs)?, "sum" | "count" | "avg" | "min" | "max" | "first_value" | "last_value" => { - apply_aggregate_window(rows, partition_indices, spec)? + apply_aggregate_window(rows, partition_indices, spec, crs)? } other => { unreachable!( @@ -130,7 +134,8 @@ mod tests { order_by: vec![], frame: WindowFrame::default(), }; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); assert_eq!(col(&rows[0], "rn"), json!(1)); assert_eq!(col(&rows[4], "rn"), json!(5)); } @@ -146,7 +151,8 @@ mod tests { order_by: vec![], frame: WindowFrame::default(), }; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); assert_eq!(col(&rows[0], "rn"), json!(1)); assert_eq!(col(&rows[2], "rn"), json!(3)); assert_eq!(col(&rows[3], "rn"), json!(1)); @@ -164,7 +170,8 @@ mod tests { order_by: vec![(SqlExpr::Column("salary".into()), true)], frame: WindowFrame::default(), }; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); // The frame runs in salary order within each dept, not in row // arrival order: eng = Carol(90) → Alice(100) → Bob(120). // Integer salaries total exactly as integers. @@ -202,7 +209,8 @@ mod tests { ]; let mut spec = ordered_by_n("total", "sum"); spec.args = vec![SqlExpr::Column("x".into())]; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); assert_eq!(rows[0].1.get("total"), Some(&Value::Float(1e308))); assert_eq!(rows[1].1.get("total"), Some(&Value::Float(f64::INFINITY))); } @@ -217,7 +225,12 @@ mod tests { ("c".to_string(), doc(f64::NAN)), ("d".to_string(), doc(f64::INFINITY)), ]; - evaluate_window_functions(&mut rows, &[ordered_by_n("rnk", "rank")]).unwrap(); + evaluate_window_functions( + &mut rows, + &[ordered_by_n("rnk", "rank")], + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert_eq!(col(&rows[1], "rnk"), json!(1)); assert_eq!(col(&rows[3], "rnk"), json!(2)); assert_eq!(col(&rows[0], "rnk"), json!(3)); @@ -227,7 +240,12 @@ mod tests { #[test] fn percent_rank_distinct_keys() { let mut rows = numbered(5); - evaluate_window_functions(&mut rows, &[ordered_by_n("pr", "percent_rank")]).unwrap(); + evaluate_window_functions( + &mut rows, + &[ordered_by_n("pr", "percent_rank")], + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert_eq!(col(&rows[0], "pr"), json!(0.0)); assert_eq!(col(&rows[1], "pr"), json!(0.25)); assert_eq!(col(&rows[2], "pr"), json!(0.5)); @@ -240,7 +258,12 @@ mod tests { // Peers share the leader's rank, so [1, 1, 2, 3] yields ranks // 1, 1, 3, 4 → percent_rank = 0, 0, 2/3, 3/3. let mut rows = peers(); - evaluate_window_functions(&mut rows, &[ordered_by_n("pr", "percent_rank")]).unwrap(); + evaluate_window_functions( + &mut rows, + &[ordered_by_n("pr", "percent_rank")], + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert_eq!(col(&rows[0], "pr"), json!(0.0)); assert_eq!(col(&rows[1], "pr"), json!(0.0)); assert_eq!(col(&rows[2], "pr"), json!(2.0 / 3.0)); @@ -250,7 +273,12 @@ mod tests { #[test] fn cume_dist_distinct_keys() { let mut rows = numbered(5); - evaluate_window_functions(&mut rows, &[ordered_by_n("cd", "cume_dist")]).unwrap(); + evaluate_window_functions( + &mut rows, + &[ordered_by_n("cd", "cume_dist")], + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert_eq!(col(&rows[0], "cd"), json!(0.2)); assert_eq!(col(&rows[1], "cd"), json!(0.4)); assert_eq!(col(&rows[2], "cd"), json!(0.6)); @@ -261,7 +289,12 @@ mod tests { #[test] fn cume_dist_with_peers() { let mut rows = peers(); - evaluate_window_functions(&mut rows, &[ordered_by_n("cd", "cume_dist")]).unwrap(); + evaluate_window_functions( + &mut rows, + &[ordered_by_n("cd", "cume_dist")], + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); // Peers share value of last peer's position / N. assert_eq!(col(&rows[0], "cd"), json!(0.5)); assert_eq!(col(&rows[1], "cd"), json!(0.5)); @@ -277,7 +310,8 @@ mod tests { SqlExpr::Column("n".into()), SqlExpr::Literal(Value::Integer(2)), ]; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); assert_eq!(col(&rows[0], "nv"), json!(null)); assert_eq!(col(&rows[1], "nv"), json!(2)); assert_eq!(col(&rows[2], "nv"), json!(2)); @@ -299,7 +333,8 @@ mod tests { order_by: vec![(SqlExpr::Column("salary".into()), false)], frame: WindowFrame::default(), }; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); assert_eq!(col(&rows[0], "name"), json!("Alice")); assert_eq!(col(&rows[1], "name"), json!("Bob")); assert_eq!(col(&rows[2], "name"), json!("Carol")); @@ -324,6 +359,7 @@ mod tests { order_by: vec![], frame: WindowFrame::default(), }; - evaluate_window_functions(&mut rows, &[spec]).unwrap(); + evaluate_window_functions(&mut rows, &[spec], &nodedb_crs::CrsContext::builtin_only()) + .unwrap(); } } diff --git a/nodedb-query/src/window/helpers.rs b/nodedb-query/src/window/helpers.rs index 3e2559d02..cefbd90cf 100644 --- a/nodedb-query/src/window/helpers.rs +++ b/nodedb-query/src/window/helpers.rs @@ -7,6 +7,7 @@ use std::collections::HashMap; +use nodedb_crs::CrsContext; use nodedb_types::Value; use crate::expr::types::SqlExpr; @@ -25,6 +26,7 @@ pub(super) fn build_partitions( rows: &[(String, Value)], partition_by: &[SqlExpr], order_by: &[(SqlExpr, bool)], + crs: &CrsContext<'_>, ) -> Result>, crate::expr::EvalError> { let mut partitions = if partition_by.is_empty() { vec![(0..rows.len()).collect::>()] @@ -35,7 +37,7 @@ pub(super) fn build_partitions( for (i, (_id, doc)) in rows.iter().enumerate() { let key: String = partition_by .iter() - .map(|expr| expr.eval(doc).map(|v| partition_key_part(&v))) + .map(|expr| expr.eval(doc, crs).map(|v| partition_key_part(&v))) .collect::, _>>()? .join("\x00"); let entry = groups.entry(key.clone()).or_default(); @@ -54,7 +56,7 @@ pub(super) fn build_partitions( keys.push( order_by .iter() - .map(|(expr, _)| expr.eval(doc)) + .map(|(expr, _)| expr.eval(doc, crs)) .collect::, _>>()?, ); } @@ -145,10 +147,11 @@ pub(super) fn order_keys_equal( a: usize, b: usize, order_by: &[(SqlExpr, bool)], + crs: &CrsContext<'_>, ) -> Result { for (expr, _) in order_by { - let va = expr.eval(&rows[a].1)?; - let vb = expr.eval(&rows[b].1)?; + let va = expr.eval(&rows[a].1, crs)?; + let vb = expr.eval(&rows[b].1, crs)?; if !sort_peers(&va, &vb) { return Ok(false); } diff --git a/nodedb-query/src/window/offset.rs b/nodedb-query/src/window/offset.rs index 76c51166b..0d9c150a1 100644 --- a/nodedb-query/src/window/offset.rs +++ b/nodedb-query/src/window/offset.rs @@ -2,6 +2,7 @@ //! Offset window functions: lag, lead, nth_value. +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::arg::{arg_at, const_default_arg, const_usize_arg, eval_arg_values}; @@ -12,8 +13,9 @@ pub(super) fn apply_lag( rows: &mut [(String, Value)], indices: &[usize], spec: &WindowFuncSpec, + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { - let arg_values = eval_arg_values(rows, indices, spec, 0)?; + let arg_values = eval_arg_values(rows, indices, spec, 0, crs)?; let offset = const_usize_arg(spec, 1, 1); let default = const_default_arg(spec, 2); @@ -32,8 +34,9 @@ pub(super) fn apply_lead( rows: &mut [(String, Value)], indices: &[usize], spec: &WindowFuncSpec, + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { - let arg_values = eval_arg_values(rows, indices, spec, 0)?; + let arg_values = eval_arg_values(rows, indices, spec, 0, crs)?; let offset = const_usize_arg(spec, 1, 1); let default = const_default_arg(spec, 2); @@ -57,8 +60,9 @@ pub(super) fn apply_nth_value( rows: &mut [(String, Value)], indices: &[usize], spec: &WindowFuncSpec, + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { - let arg_values = eval_arg_values(rows, indices, spec, 0)?; + let arg_values = eval_arg_values(rows, indices, spec, 0, crs)?; let n = const_usize_arg(spec, 1, 1).max(1); for (pos, &i) in indices.iter().enumerate() { diff --git a/nodedb-query/src/window/ranking.rs b/nodedb-query/src/window/ranking.rs index 3bc053d58..2315ac44e 100644 --- a/nodedb-query/src/window/ranking.rs +++ b/nodedb-query/src/window/ranking.rs @@ -3,6 +3,7 @@ //! Ranking and distribution window functions: row_number, rank, dense_rank, //! ntile, percent_rank, cume_dist. +use nodedb_crs::CrsContext; use nodedb_types::Value; use crate::expr::SqlExpr; @@ -26,6 +27,7 @@ pub(super) fn apply_rank( indices: &[usize], alias: &str, order_by: &[(SqlExpr, bool)], + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { if indices.is_empty() { return Ok(()); @@ -34,7 +36,7 @@ pub(super) fn apply_rank( set_window_col(&mut rows[indices[0]].1, alias, count_value(1)); for pos in 1..indices.len() { - if !order_keys_equal(rows, indices[pos - 1], indices[pos], order_by)? { + if !order_keys_equal(rows, indices[pos - 1], indices[pos], order_by, crs)? { current_rank = pos + 1; } set_window_col(&mut rows[indices[pos]].1, alias, count_value(current_rank)); @@ -47,6 +49,7 @@ pub(super) fn apply_dense_rank( indices: &[usize], alias: &str, order_by: &[(SqlExpr, bool)], + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { if indices.is_empty() { return Ok(()); @@ -55,7 +58,7 @@ pub(super) fn apply_dense_rank( set_window_col(&mut rows[indices[0]].1, alias, count_value(1)); for pos in 1..indices.len() { - if !order_keys_equal(rows, indices[pos - 1], indices[pos], order_by)? { + if !order_keys_equal(rows, indices[pos - 1], indices[pos], order_by, crs)? { current_rank += 1; } set_window_col(&mut rows[indices[pos]].1, alias, count_value(current_rank)); @@ -94,6 +97,7 @@ pub(super) fn apply_percent_rank( indices: &[usize], alias: &str, order_by: &[(SqlExpr, bool)], + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { let total = indices.len(); if total == 0 { @@ -108,7 +112,7 @@ pub(super) fn apply_percent_rank( set_window_col(&mut rows[indices[0]].1, alias, Value::Float(0.0)); for pos in 1..total { - if !order_keys_equal(rows, indices[pos - 1], indices[pos], order_by)? { + if !order_keys_equal(rows, indices[pos - 1], indices[pos], order_by, crs)? { current_rank = pos + 1; } let pr = (current_rank - 1) as f64 / denom; @@ -125,6 +129,7 @@ pub(super) fn apply_cume_dist( indices: &[usize], alias: &str, order_by: &[(SqlExpr, bool)], + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { let total = indices.len(); if total == 0 { @@ -136,7 +141,13 @@ pub(super) fn apply_cume_dist( while group_start < total { let mut group_end = group_start + 1; while group_end < total - && order_keys_equal(rows, indices[group_start], indices[group_end], order_by)? + && order_keys_equal( + rows, + indices[group_start], + indices[group_end], + order_by, + crs, + )? { group_end += 1; } diff --git a/nodedb-query/src/window/running.rs b/nodedb-query/src/window/running.rs index b22dbfad3..00052a413 100644 --- a/nodedb-query/src/window/running.rs +++ b/nodedb-query/src/window/running.rs @@ -11,6 +11,7 @@ //! computed at the *last* peer in the group (i.e., they all include each //! other). This matches PostgreSQL behaviour for RANGE CURRENT ROW. +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::arg::{ArgValues, arg_at}; @@ -29,6 +30,7 @@ pub(super) fn running_aggregate( indices: &[usize], spec: &WindowFuncSpec, arg_values: &ArgValues, + crs: &CrsContext<'_>, ) -> Result<(), crate::expr::EvalError> { let len = indices.len(); if len == 0 { @@ -66,7 +68,7 @@ pub(super) fn running_aggregate( // Check if the *next* row starts a new peer group (or we're at the end). let is_last_in_group = - pos + 1 == len || !order_keys_equal(rows, i, indices[pos + 1], &spec.order_by)?; + pos + 1 == len || !order_keys_equal(rows, i, indices[pos + 1], &spec.order_by, crs)?; if is_last_in_group { // Compute the result at the end of this peer group. diff --git a/nodedb-query/src/window/value_agg.rs b/nodedb-query/src/window/value_agg.rs index b75b010f8..e9d152bf0 100644 --- a/nodedb-query/src/window/value_agg.rs +++ b/nodedb-query/src/window/value_agg.rs @@ -5,6 +5,7 @@ use std::collections::HashMap; +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::extremum::{extremum_direction, value_replaces}; @@ -16,6 +17,7 @@ pub(super) fn apply_v_aggregate( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -24,9 +26,9 @@ pub(super) fn apply_v_aggregate( && matches!(spec.frame.end, FrameBound::CurrentRow); if use_running { - apply_v_running_aggregate(rows, indices, column_index, spec, write_col) + apply_v_running_aggregate(rows, indices, column_index, crs, spec, write_col) } else { - apply_v_per_row_aggregate(rows, indices, column_index, spec, write_col) + apply_v_per_row_aggregate(rows, indices, column_index, crs, spec, write_col) } } @@ -34,9 +36,10 @@ fn eval_arg( spec: &WindowFuncSpec, row: &[Value], column_index: &HashMap, + crs: &CrsContext<'_>, ) -> Result { match spec.args.first() { - Some(expr) => Ok(eval_arg_for_row(expr, row, column_index)?), + Some(expr) => Ok(eval_arg_for_row(expr, row, column_index, crs)?), None => Ok(Value::Null), } } @@ -45,6 +48,7 @@ fn apply_v_running_aggregate( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -64,7 +68,7 @@ fn apply_v_running_aggregate( for pos in 0..len { let i = indices[pos]; let val = match rows.get(i) { - Some(row) => eval_arg(spec, row, column_index)?, + Some(row) => eval_arg(spec, row, column_index, crs)?, None => Value::Null, }; @@ -83,15 +87,15 @@ fn apply_v_running_aggregate( } let is_last_in_group = pos + 1 == len - || !order_keys_equal_v(rows, i, indices[pos + 1], column_index, &spec.order_by)?; + || !order_keys_equal_v(rows, i, indices[pos + 1], column_index, crs, &spec.order_by)?; if is_last_in_group { let first_val = match rows.get(indices[0]) { - Some(row) => eval_arg(spec, row, column_index)?, + Some(row) => eval_arg(spec, row, column_index, crs)?, None => Value::Null, }; let last_val = match rows.get(indices[pos]) { - Some(row) => eval_arg(spec, row, column_index)?, + Some(row) => eval_arg(spec, row, column_index, crs)?, None => Value::Null, }; @@ -118,6 +122,7 @@ fn apply_v_per_row_aggregate( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -130,7 +135,7 @@ fn apply_v_per_row_aggregate( let order_values: Vec = indices .iter() .map(|&i| match (order_expr, rows.get(i)) { - (Some(expr), Some(row)) => Ok(eval_arg_for_row(expr, row, column_index)?), + (Some(expr), Some(row)) => Ok(eval_arg_for_row(expr, row, column_index, crs)?), _ => Ok(Value::Null), }) .collect::, WindowError>>()?; @@ -144,7 +149,7 @@ fn apply_v_per_row_aggregate( let arg_vals: Vec = indices .iter() .map(|&i| match rows.get(i) { - Some(row) => eval_arg(spec, row, column_index), + Some(row) => eval_arg(spec, row, column_index, crs), None => Ok(Value::Null), }) .collect::, WindowError>>()?; @@ -423,7 +428,15 @@ mod tests { row.push(Value::Null); } let indices: Vec = (0..rows.len()).collect(); - apply_v_aggregate(rows, &indices, cols, spec, write_col).unwrap(); + apply_v_aggregate( + rows, + &indices, + cols, + &nodedb_crs::CrsContext::builtin_only(), + spec, + write_col, + ) + .unwrap(); } fn frame(mode: &str, start: FrameBound, end: FrameBound) -> WindowFrame { diff --git a/nodedb-query/src/window/value_eval.rs b/nodedb-query/src/window/value_eval.rs index efbf0ed78..1e207f3db 100644 --- a/nodedb-query/src/window/value_eval.rs +++ b/nodedb-query/src/window/value_eval.rs @@ -8,6 +8,7 @@ use std::collections::HashMap; +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::spec::WindowFuncSpec; @@ -42,12 +43,13 @@ pub enum WindowError { pub fn evaluate_window_functions_value( rows: &mut [Vec], column_index: &HashMap, + crs: &CrsContext<'_>, specs: &[WindowFuncSpec], ) -> Result, WindowError> { let mut new_cols: Vec = Vec::with_capacity(specs.len()); for spec in specs { - let partitions = build_value_partitions(rows, column_index, spec)?; + let partitions = build_value_partitions(rows, column_index, crs, spec)?; let write_col = rows.first().map(|r| r.len()).unwrap_or(0); for row in rows.iter_mut() { @@ -57,24 +59,33 @@ pub fn evaluate_window_functions_value( for partition_indices in &partitions { match spec.func_name.as_str() { "row_number" => apply_v_row_number(rows, partition_indices, write_col), - "rank" => apply_v_rank(rows, partition_indices, column_index, spec, write_col)?, + "rank" => { + apply_v_rank(rows, partition_indices, column_index, crs, spec, write_col)? + } "dense_rank" => { - apply_v_dense_rank(rows, partition_indices, column_index, spec, write_col)? + apply_v_dense_rank(rows, partition_indices, column_index, crs, spec, write_col)? } "ntile" => apply_v_ntile(rows, partition_indices, spec, write_col)?, - "percent_rank" => { - apply_v_percent_rank(rows, partition_indices, column_index, spec, write_col)? - } + "percent_rank" => apply_v_percent_rank( + rows, + partition_indices, + column_index, + crs, + spec, + write_col, + )?, "cume_dist" => { - apply_v_cume_dist(rows, partition_indices, column_index, spec, write_col)? + apply_v_cume_dist(rows, partition_indices, column_index, crs, spec, write_col)? + } + "lag" => apply_v_lag(rows, partition_indices, column_index, crs, spec, write_col)?, + "lead" => { + apply_v_lead(rows, partition_indices, column_index, crs, spec, write_col)? } - "lag" => apply_v_lag(rows, partition_indices, column_index, spec, write_col)?, - "lead" => apply_v_lead(rows, partition_indices, column_index, spec, write_col)?, "nth_value" => { - apply_v_nth_value(rows, partition_indices, column_index, spec, write_col)? + apply_v_nth_value(rows, partition_indices, column_index, crs, spec, write_col)? } "sum" | "count" | "avg" | "min" | "max" | "first_value" | "last_value" => { - apply_v_aggregate(rows, partition_indices, column_index, spec, write_col)? + apply_v_aggregate(rows, partition_indices, column_index, crs, spec, write_col)? } other => { return Err(WindowError::ArgEval { @@ -110,13 +121,14 @@ pub(super) fn order_keys_equal_v( a: usize, b: usize, column_index: &HashMap, + crs: &CrsContext<'_>, order_by: &[(SqlExpr, bool)], ) -> Result { for (expr, _) in order_by { let row_a = rows.get(a).map(|r| r.as_slice()).unwrap_or(&[]); let row_b = rows.get(b).map(|r| r.as_slice()).unwrap_or(&[]); - let va = eval_arg_for_row(expr, row_a, column_index)?; - let vb = eval_arg_for_row(expr, row_b, column_index)?; + let va = eval_arg_for_row(expr, row_a, column_index, crs)?; + let vb = eval_arg_for_row(expr, row_b, column_index, crs)?; if !matches!(cmp_values(&va, &vb), std::cmp::Ordering::Equal) { return Ok(false); } @@ -134,6 +146,7 @@ pub(super) fn eval_arg_for_row( expr: &SqlExpr, row: &[Value], column_index: &HashMap, + crs: &CrsContext<'_>, ) -> Result { match expr { SqlExpr::Column(name) => Ok(column_index @@ -144,7 +157,7 @@ pub(super) fn eval_arg_for_row( SqlExpr::Literal(v) => Ok(v.clone()), other => { let doc = row_to_obj(row, column_index); - Ok(other.eval(&doc)?) + Ok(other.eval(&doc, crs)?) } } } @@ -201,6 +214,7 @@ fn apply_v_rank( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -215,6 +229,7 @@ fn apply_v_rank( indices[pos - 1], indices[pos], column_index, + crs, &spec.order_by, )? { current_rank = pos + 1; @@ -233,6 +248,7 @@ fn apply_v_dense_rank( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -247,6 +263,7 @@ fn apply_v_dense_rank( indices[pos - 1], indices[pos], column_index, + crs, &spec.order_by, )? { current_rank += 1; @@ -283,6 +300,7 @@ fn apply_v_percent_rank( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -303,6 +321,7 @@ fn apply_v_percent_rank( indices[pos - 1], indices[pos], column_index, + crs, &spec.order_by, )? { current_rank = pos + 1; @@ -317,6 +336,7 @@ fn apply_v_cume_dist( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { @@ -334,6 +354,7 @@ fn apply_v_cume_dist( indices[group_start], indices[group_end], column_index, + crs, &spec.order_by, )? { @@ -354,12 +375,13 @@ fn collect_arg_values( rows: &[Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, ) -> Result, WindowError> { indices .iter() .map(|&i| match (rows.get(i), spec.args.first()) { - (Some(row), Some(expr)) => Ok(eval_arg_for_row(expr, row, column_index)?), + (Some(row), Some(expr)) => Ok(eval_arg_for_row(expr, row, column_index, crs)?), _ => Ok(Value::Null), }) .collect() @@ -369,12 +391,13 @@ fn apply_v_lag( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { let offset = usize_arg(spec, 1, 1); let default = default_arg_value(spec, 2); - let values = collect_arg_values(rows, indices, column_index, spec)?; + let values = collect_arg_values(rows, indices, column_index, crs, spec)?; for (pos, &i) in indices.iter().enumerate() { let val = if pos >= offset { values[pos - offset].clone() @@ -390,12 +413,13 @@ fn apply_v_lead( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { let offset = usize_arg(spec, 1, 1); let default = default_arg_value(spec, 2); - let values = collect_arg_values(rows, indices, column_index, spec)?; + let values = collect_arg_values(rows, indices, column_index, crs, spec)?; for (pos, &i) in indices.iter().enumerate() { let val = if pos + offset < indices.len() { values[pos + offset].clone() @@ -411,11 +435,12 @@ fn apply_v_nth_value( rows: &mut [Vec], indices: &[usize], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, write_col: usize, ) -> Result<(), WindowError> { let n = usize_arg(spec, 1, 1).max(1); - let values = collect_arg_values(rows, indices, column_index, spec)?; + let values = collect_arg_values(rows, indices, column_index, crs, spec)?; for (pos, &i) in indices.iter().enumerate() { let val = if pos + 1 >= n { values[n - 1].clone() @@ -484,7 +509,13 @@ mod tests { let mut rows = rows_v(&[5, 5, 5]); let cols = ci(&["v"]); let s = spec("row_number", vec![], vec![], vec![]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(out_int(&rows, 1), vec![1, 2, 3]); } @@ -493,7 +524,13 @@ mod tests { let mut rows = rows_v(&[10, 10, 20]); let cols = ci(&["v"]); let s = spec("rank", vec![], vec![], vec![(col("v"), true)]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(out_int(&rows, 1), vec![1, 1, 3]); } @@ -502,7 +539,13 @@ mod tests { let mut rows = rows_v(&[10, 10, 20]); let cols = ci(&["v"]); let s = spec("dense_rank", vec![], vec![], vec![(col("v"), true)]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(out_int(&rows, 1), vec![1, 1, 2]); } @@ -516,7 +559,13 @@ mod tests { vec![], vec![(col("v"), true)], ); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(out_int(&rows, 1), vec![1, 1, 2]); } @@ -525,7 +574,13 @@ mod tests { let mut rows = rows_v(&[1, 2, 3]); let cols = ci(&["v"]); let s = spec("lag", vec![col("v")], vec![], vec![(col("v"), true)]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); // First row has no predecessor → Null; rest carry the prior value. assert!(matches!(rows[0][1], Value::Null)); assert_eq!(rows[1][1].as_f64().unwrap() as i64, 1); @@ -537,7 +592,13 @@ mod tests { let mut rows = rows_v(&[1, 2, 3]); let cols = ci(&["v"]); let s = spec("lead", vec![col("v")], vec![], vec![(col("v"), true)]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(rows[0][1].as_f64().unwrap() as i64, 2); assert_eq!(rows[1][1].as_f64().unwrap() as i64, 3); // Last row has no successor → Null. @@ -550,7 +611,13 @@ mod tests { let mut rows = rows_v(&[10, 10, 20]); let pr = spec("percent_rank", vec![], vec![], vec![(col("v"), true)]); - evaluate_window_functions_value(&mut rows, &cols, &[pr]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[pr], + ) + .unwrap(); let pr_out = out_f64(&rows, 1); assert!((pr_out[0] - 0.0).abs() < 1e-9); assert!((pr_out[1] - 0.0).abs() < 1e-9); @@ -558,7 +625,13 @@ mod tests { let mut rows = rows_v(&[10, 10, 20]); let cd = spec("cume_dist", vec![], vec![], vec![(col("v"), true)]); - evaluate_window_functions_value(&mut rows, &cols, &[cd]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[cd], + ) + .unwrap(); let cd_out = out_f64(&rows, 1); assert!((cd_out[0] - 2.0 / 3.0).abs() < 1e-9); assert!((cd_out[1] - 2.0 / 3.0).abs() < 1e-9); @@ -574,7 +647,13 @@ mod tests { vec![Value::Integer(2), Value::Integer(102)], ]; let s = spec("row_number", vec![], vec![col("g")], vec![]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); // Two rows in partition g=1 → 1,2; one row in g=2 → 1. Result at idx 2. assert_eq!(out_int(&rows, 2), vec![1, 2, 1]); } @@ -587,7 +666,13 @@ mod tests { let mut rows = rows_v(&[10, 30, 20]); let cols = ci(&["v"]); let s = spec("rank", vec![], vec![], vec![(col("v"), false)]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(out_int(&rows, 0), vec![10, 30, 20]); assert_eq!(out_int(&rows, 1), vec![3, 1, 2]); } @@ -597,7 +682,13 @@ mod tests { let mut rows = rows_v(&[1]); let cols = ci(&["v"]); let s = spec("nonexistent", vec![], vec![], vec![]); - let err = evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap_err(); + let err = evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap_err(); assert!(matches!(err, WindowError::ArgEval { .. })); } @@ -608,7 +699,13 @@ mod tests { let cols = ci(&["v"]); let mut rows = rows_v(&[1, 2]); let s = spec("row_number", vec![], vec![col("missing")], vec![]); - evaluate_window_functions_value(&mut rows, &cols, &[s]).unwrap(); + evaluate_window_functions_value( + &mut rows, + &cols, + &nodedb_crs::CrsContext::builtin_only(), + &[s], + ) + .unwrap(); assert_eq!(out_int(&rows, 1), vec![1, 2]); } } diff --git a/nodedb-query/src/window/value_partition.rs b/nodedb-query/src/window/value_partition.rs index 3a7a5d0c3..2793b1b40 100644 --- a/nodedb-query/src/window/value_partition.rs +++ b/nodedb-query/src/window/value_partition.rs @@ -5,6 +5,7 @@ use std::collections::HashMap; +use nodedb_crs::CrsContext; use nodedb_types::Value; use super::helpers::null_order; @@ -20,6 +21,7 @@ use crate::expr::types::SqlExpr; pub(super) fn build_value_partitions( rows: &[Vec], column_index: &HashMap, + crs: &CrsContext<'_>, spec: &WindowFuncSpec, ) -> Result>, WindowError> { let mut partitions = if spec.partition_by.is_empty() { @@ -29,7 +31,7 @@ pub(super) fn build_value_partitions( let mut order: Vec = Vec::new(); for (i, row) in rows.iter().enumerate() { - let key = partition_key(row, column_index, &spec.partition_by)?; + let key = partition_key(row, column_index, crs, &spec.partition_by)?; let entry = groups.entry(key.clone()).or_default(); if entry.is_empty() { order.push(key); @@ -46,7 +48,7 @@ pub(super) fn build_value_partitions( keys.push( spec.order_by .iter() - .map(|(expr, _)| eval_arg_for_row(expr, row, column_index)) + .map(|(expr, _)| eval_arg_for_row(expr, row, column_index, crs)) .collect::, _>>()?, ); } @@ -62,12 +64,13 @@ pub(super) fn build_value_partitions( fn partition_key( row: &[Value], column_index: &HashMap, + crs: &CrsContext<'_>, partition_by: &[SqlExpr], ) -> Result { Ok(partition_by .iter() .map(|expr| { - let v = eval_arg_for_row(expr, row, column_index)?; + let v = eval_arg_for_row(expr, row, column_index, crs)?; Ok(format!("{v:?}")) }) .collect::, WindowError>>()? diff --git a/nodedb-raster-load/Cargo.toml b/nodedb-raster-load/Cargo.toml new file mode 100644 index 000000000..5dba5e904 --- /dev/null +++ b/nodedb-raster-load/Cargo.toml @@ -0,0 +1,17 @@ +[package] +name = "nodedb-raster-load" +description = "Raster-to-array load planning for NodeDB: band mapping, grid alignment, nodata and pixel rows" +version.workspace = true +edition.workspace = true +rust-version.workspace = true +license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] +repository.workspace = true +homepage.workspace = true +documentation = "https://docs.rs/nodedb-raster-load" +keywords = ["geotiff", "raster", "array", "geospatial", "nodedb"] +categories = ["science::geo", "database"] + +[dependencies] +nodedb-raster = { workspace = true } +thiserror = { workspace = true } diff --git a/nodedb-raster-load/NOTICE b/nodedb-raster-load/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-raster-load/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-raster-load/src/bands.rs b/nodedb-raster-load/src/bands.rs new file mode 100644 index 000000000..9506abbc3 --- /dev/null +++ b/nodedb-raster-load/src/bands.rs @@ -0,0 +1,276 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Which array attr each band loads into, and the type rule. +//! +//! The bands of a load are every source's bands in source order: source 1's +//! bands, then source 2's, and so on. `BANDS (a, SKIP, b)` maps those bands +//! in order: band 1 to `a`, band 2 nowhere, band 3 to `b`. Without `BANDS`, +//! band `i` loads into attr `i`. A band loads only into an attr that holds +//! every value of its sample type exactly. An attr no band loads into must +//! be nullable, and every cell holds NULL there. + +use nodedb_raster::SampleType; + +use crate::error::RasterLoadError; +use crate::options::BandTarget; +use crate::view::{ArrayView, AttrType}; + +/// Where one attr's value comes from. +#[derive(Debug, Clone, PartialEq)] +pub enum AttrSource { + /// No band loads into the attr. It is nullable. + Null, + /// Band `band` of the load loads into the attr. + Band { + band: usize, + /// Whether the attr holds floats, so integer samples widen to `f64`. + float: bool, + nullable: bool, + name: String, + }, +} + +/// The attr sources in schema order, and the bands that load. +#[derive(Debug)] +pub struct BandMap { + pub attrs: Vec, + pub loaded: Vec, +} + +/// Map the load's bands, one sample type each, onto the attrs of `view`. +pub fn map_bands( + view: &ArrayView, + samples: &[SampleType], + bands: Option<&[BandTarget]>, +) -> Result { + let targets = band_targets(view, samples.len(), bands)?; + let mut attrs = vec![AttrSource::Null; view.attrs.len()]; + let mut loaded = Vec::with_capacity(targets.len()); + for (band, (target, sample)) in targets.into_iter().zip(samples).enumerate() { + let Some(index) = target else { continue }; + let Some(attr) = view.attrs.get(index) else { + continue; + }; + if !widens(*sample, attr.dtype) { + return Err(RasterLoadError::BandType { + band: band + 1, + sample: *sample, + attr: attr.name.clone(), + attr_type: attr.dtype.sql_name(), + }); + } + if let Some(slot) = attrs.get_mut(index) { + *slot = AttrSource::Band { + band, + float: attr.dtype.is_float(), + nullable: attr.nullable, + name: attr.name.clone(), + }; + } + loaded.push(band); + } + if loaded.is_empty() { + return Err(RasterLoadError::NoBandLoads); + } + for (attr, source) in view.attrs.iter().zip(&attrs) { + if *source == AttrSource::Null && !attr.nullable { + return Err(RasterLoadError::UnmappedNotNull { + attr: attr.name.clone(), + }); + } + } + Ok(BandMap { attrs, loaded }) +} + +/// The attr index each band loads into, `None` for a skipped band. +fn band_targets( + view: &ArrayView, + count: usize, + bands: Option<&[BandTarget]>, +) -> Result>, RasterLoadError> { + let Some(bands) = bands else { + if count > view.attrs.len() { + return Err(RasterLoadError::BandCount { + array: view.name.clone(), + bands: count, + attrs: view.attrs.len(), + }); + } + return Ok((0..count).map(Some).collect()); + }; + if bands.len() != count { + return Err(RasterLoadError::BandListLength { + listed: bands.len(), + bands: count, + }); + } + bands + .iter() + .map(|band| match band { + BandTarget::Skip => Ok(None), + BandTarget::Attr(name) => view + .attrs + .iter() + .position(|attr| attr.name.eq_ignore_ascii_case(name)) + .map(Some) + .ok_or_else(|| RasterLoadError::UnknownAttr { + array: view.name.clone(), + name: name.clone(), + }), + }) + .collect() +} + +/// Whether every `sample` value converts to `attr` without loss. +fn widens(sample: SampleType, attr: AttrType) -> bool { + use AttrType as A; + match sample { + SampleType::U8 => matches!( + attr, + A::UInt8 + | A::Int16 + | A::UInt16 + | A::Int32 + | A::UInt32 + | A::Int64 + | A::Float32 + | A::Float64 + ), + SampleType::I8 => matches!( + attr, + A::Int8 | A::Int16 | A::Int32 | A::Int64 | A::Float32 | A::Float64 + ), + SampleType::U16 => matches!( + attr, + A::UInt16 | A::Int32 | A::UInt32 | A::Int64 | A::Float32 | A::Float64 + ), + SampleType::I16 => matches!( + attr, + A::Int16 | A::Int32 | A::Int64 | A::Float32 | A::Float64 + ), + SampleType::U32 => matches!(attr, A::UInt32 | A::Int64 | A::Float64), + SampleType::I32 => matches!(attr, A::Int32 | A::Int64 | A::Float64), + SampleType::F32 => matches!(attr, A::Float32 | A::Float64), + SampleType::F64 => matches!(attr, A::Float64), + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::view::ViewAttr; + + fn view(attrs: &[(&str, AttrType, bool)]) -> ArrayView { + ArrayView { + name: "scene".into(), + dims: Vec::new(), + attrs: attrs + .iter() + .map(|(name, dtype, nullable)| ViewAttr { + name: (*name).into(), + dtype: *dtype, + nullable: *nullable, + meta: Default::default(), + }) + .collect(), + georef: None, + } + } + + const U16X2: [SampleType; 2] = [SampleType::U16, SampleType::U16]; + + #[test] + fn widening_is_lossless_only() { + use AttrType as A; + assert!(widens(SampleType::U8, A::UInt8)); + assert!(widens(SampleType::U16, A::Float32)); + assert!(!widens(SampleType::U16, A::Int16)); + assert!(!widens(SampleType::I16, A::UInt16)); + assert!(!widens(SampleType::U32, A::Float32)); + assert!(!widens(SampleType::F32, A::Int64)); + assert!(!widens(SampleType::F64, A::Float32)); + assert!(!widens(SampleType::U8, A::String)); + assert!(widens(SampleType::I8, A::Int8)); + assert!(!widens(SampleType::I8, A::UInt8)); + assert!(!widens(SampleType::U8, A::Int8)); + assert!(widens(SampleType::I32, A::Int32)); + assert!(!widens(SampleType::I32, A::Float32)); + assert!(!widens(SampleType::I32, A::UInt32)); + } + + #[test] + fn bands_load_in_order_without_a_list() { + let v = view(&[ + ("b1", AttrType::UInt16, false), + ("b2", AttrType::Float64, true), + ("extra", AttrType::Int64, true), + ]); + let map = map_bands(&v, &U16X2, None).expect("maps"); + assert_eq!(map.loaded, vec![0, 1]); + assert!(matches!( + map.attrs[1], + AttrSource::Band { + band: 1, + float: true, + .. + } + )); + assert_eq!(map.attrs[2], AttrSource::Null); + } + + #[test] + fn a_band_list_skips_and_reorders() { + let v = view(&[ + ("red", AttrType::UInt16, true), + ("nir", AttrType::UInt16, true), + ]); + let list = [ + BandTarget::Attr("nir".into()), + BandTarget::Skip, + BandTarget::Attr("red".into()), + ]; + let samples = [SampleType::U16; 3]; + let map = map_bands(&v, &samples, Some(&list)).expect("maps"); + assert_eq!(map.loaded, vec![0, 2]); + assert!(matches!(map.attrs[0], AttrSource::Band { band: 2, .. })); + assert!(matches!(map.attrs[1], AttrSource::Band { band: 0, .. })); + } + + #[test] + fn each_band_keeps_its_own_sample_type() { + let v = view(&[ + ("red", AttrType::UInt16, true), + ("qa", AttrType::UInt8, true), + ]); + let mixed = [SampleType::U16, SampleType::U8]; + assert!(map_bands(&v, &mixed, None).is_ok()); + let err = map_bands(&v, &U16X2, None).expect_err("u16 into UINT8"); + assert_eq!(err.sqlstate(), "42804"); + assert!(err.to_string().contains("band 2"), "{err}"); + } + + #[test] + fn refusals_carry_their_sqlstate() { + let narrow = view(&[("b1", AttrType::UInt8, true)]); + let one = [SampleType::U16]; + let err = map_bands(&narrow, &one, None).expect_err("u16 into UINT8"); + assert_eq!(err.sqlstate(), "42804"); + + let strict = view(&[ + ("b1", AttrType::UInt16, true), + ("qa", AttrType::UInt16, false), + ]); + let err = map_bands(&strict, &one, None).expect_err("qa unmapped"); + assert_eq!(err.sqlstate(), "23502"); + + let single = view(&[("b1", AttrType::UInt16, true)]); + let err = map_bands(&single, &U16X2, None).expect_err("2 bands, 1 attr"); + assert_eq!(err.sqlstate(), "22023"); + let short = [BandTarget::Attr("b1".into())]; + let err = map_bands(&single, &U16X2, Some(&short)).expect_err("short list"); + assert_eq!(err.sqlstate(), "22023"); + let unknown = [BandTarget::Attr("b9".into())]; + let err = map_bands(&single, &one, Some(&unknown)).expect_err("no attr b9"); + assert_eq!(err.sqlstate(), "42703"); + } +} diff --git a/nodedb-raster-load/src/coords.rs b/nodedb-raster-load/src/coords.rs new file mode 100644 index 000000000..5ca214fe5 --- /dev/null +++ b/nodedb-raster-load/src/coords.rs @@ -0,0 +1,139 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The source of each dim's coordinate: the GEOREF axes, then `TIME` for +//! the one `TIMESTAMP` dim. Any other dim has no source in a raster. + +use crate::error::RasterLoadError; +use crate::view::{ArrayView, DimType, DomainBound, ViewDim}; + +/// The source of one dim's coordinate. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum CoordSource { + /// The GEOREF x axis. + X, + /// The GEOREF y axis. + Y, + /// The `TIME` instant, in ms since the Unix epoch. + Time(i64), +} + +/// The source of every dim of `view`, in schema order. +pub fn plan_coords( + view: &ArrayView, + x_index: usize, + y_index: usize, + time_ms: Option, +) -> Result, RasterLoadError> { + let mut time_used = false; + let mut coords = Vec::with_capacity(view.dims.len()); + for (index, dim) in view.dims.iter().enumerate() { + let source = if index == x_index { + CoordSource::X + } else if index == y_index { + CoordSource::Y + } else if dim.dtype == DimType::TimestampMs && !time_used { + time_used = true; + CoordSource::Time(time_coord(dim, time_ms)?) + } else { + return Err(RasterLoadError::DimWithoutSource { + dim: dim.name.clone(), + }); + }; + coords.push(source); + } + if time_ms.is_some() && !time_used { + return Err(RasterLoadError::TimeWithoutDim { + array: view.name.clone(), + }); + } + Ok(coords) +} + +/// The `TIME` instant for `dim`, checked against its domain. +fn time_coord(dim: &ViewDim, time_ms: Option) -> Result { + let time = time_ms.ok_or_else(|| RasterLoadError::TimeMissing { + dim: dim.name.clone(), + })?; + let inside = match (&dim.lo, &dim.hi) { + ( + DomainBound::TimestampMs(lo) | DomainBound::Int64(lo), + DomainBound::TimestampMs(hi) | DomainBound::Int64(hi), + ) => *lo <= time && time <= *hi, + _ => false, + }; + if inside { + return Ok(time); + } + Err(RasterLoadError::TimeOutside { + time, + dim: dim.name.clone(), + lo: bound_text(&dim.lo), + hi: bound_text(&dim.hi), + }) +} + +/// A domain bound as the DDL writes it. +pub(crate) fn bound_text(bound: &DomainBound) -> String { + match bound { + DomainBound::Int64(v) | DomainBound::TimestampMs(v) => v.to_string(), + DomainBound::Float64(v) => v.to_string(), + DomainBound::String(v) => format!("'{v}'"), + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn dim(name: &str, dtype: DimType, lo: DomainBound, hi: DomainBound) -> ViewDim { + ViewDim { + name: name.into(), + dtype, + lo, + hi, + } + } + + fn view(dims: Vec) -> ArrayView { + ArrayView { + name: "scene".into(), + dims, + attrs: Vec::new(), + georef: None, + } + } + + #[test] + fn time_fills_the_timestamp_dim() { + let ts = || { + dim( + "t", + DimType::TimestampMs, + DomainBound::TimestampMs(0), + DomainBound::TimestampMs(1_000), + ) + }; + let axis = |name: &str| { + dim( + name, + DimType::Int64, + DomainBound::Int64(0), + DomainBound::Int64(9), + ) + }; + let v = view(vec![ts(), axis("row"), axis("col")]); + let coords = plan_coords(&v, 2, 1, Some(500)).expect("time given"); + assert_eq!( + coords, + vec![CoordSource::Time(500), CoordSource::Y, CoordSource::X] + ); + let sqlstate = + |r: Result, RasterLoadError>| r.expect_err("refused").sqlstate(); + assert_eq!(sqlstate(plan_coords(&v, 2, 1, None)), "42601"); + assert_eq!(sqlstate(plan_coords(&v, 2, 1, Some(5_000))), "22003"); + let plain = view(vec![axis("row"), axis("col")]); + assert_eq!(sqlstate(plan_coords(&plain, 1, 0, Some(5))), "42601"); + let band = view(vec![axis("band"), axis("row"), axis("col")]); + assert_eq!(sqlstate(plan_coords(&band, 2, 1, None)), "0A000"); + } +} diff --git a/nodedb-raster-load/src/error.rs b/nodedb-raster-load/src/error.rs new file mode 100644 index 000000000..71c6ed8b6 --- /dev/null +++ b/nodedb-raster-load/src/error.rs @@ -0,0 +1,216 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `RasterLoadError`: why a raster load refuses its input, with the +//! SQLSTATE each refusal reports. + +use nodedb_raster::SampleType; + +/// A refused raster load. Every variant but the per-pixel ones refuses the +/// whole input before any row loads. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum RasterLoadError { + #[error( + "the file CRS is SRID {file}, array '{array}' GEOREF is SRID {georef}; \ + reproject outside the engine" + )] + CrsMismatch { + array: String, + file: u32, + georef: u32, + }, + #[error("the file GeoKeys name no CRS, array '{array}' GEOREF is SRID {georef}")] + NoCrs { array: String, georef: u32 }, + #[error("the file has no geotransform, so no pixel has a world position")] + NoTransform, + #[error( + "band {band} holds {sample} samples, which attr '{attr}' ({attr_type}) cannot hold \ + exactly; declare the attr as a type that widens {sample}" + )] + BandType { + band: usize, + sample: SampleType, + attr: String, + attr_type: &'static str, + }, + #[error("no file band loads into an attr")] + NoBandLoads, + #[error( + "attr '{attr}' is NOT NULL, and no file band loads into it; map a band to it with \ + BANDS (...)" + )] + UnmappedNotNull { attr: String }, + #[error( + "the sources have {bands} bands, array '{array}' has {attrs} attrs; name each band's \ + attr or SKIP with BANDS (...)" + )] + BandCount { + array: String, + bands: usize, + attrs: usize, + }, + #[error( + "BANDS lists {listed} entries, the sources have {bands} bands; list one entry per band" + )] + BandListLength { listed: usize, bands: usize }, + #[error("BANDS names '{name}', which array '{array}' has no attr")] + UnknownAttr { array: String, name: String }, + #[error("array '{array}' GEOREF names dim '{dim}', which it lacks")] + GeorefDim { array: String, dim: String }, + #[error( + "dim '{dim}' has no source in a GeoTIFF; a raster fills the GEOREF axes and one \ + TIMESTAMP dim from TIME" + )] + DimWithoutSource { dim: String }, + #[error("TIME is given, and array '{array}' has no TIMESTAMP dim")] + TimeWithoutDim { array: String }, + #[error("dim '{dim}' is a TIMESTAMP; give the scene instant with WITH (TIME '')")] + TimeMissing { dim: String }, + #[error("TIME {time} is outside dim '{dim}' domain [{lo}..{hi}]")] + TimeOutside { + time: i64, + dim: String, + lo: String, + hi: String, + }, + #[error("nodata {value} is not a {sample} value, so no sample can match it")] + Nodata { value: f64, sample: SampleType }, + #[error("raster grid does not align with array '{array}': {why}; resample outside the engine")] + Misaligned { array: String, why: String }, + #[error( + "the raster footprint spans [{lo}..{hi}] on dim '{dim}', outside its domain \ + [{domain_lo}..{domain_hi}]" + )] + FootprintOutside { + dim: String, + lo: String, + hi: String, + domain_lo: String, + domain_hi: String, + }, + #[error("GEOREF axis '{dim}' cannot hold world coordinates")] + AxisNotWorld { dim: String }, + #[error( + "pixel centres on INT64 axis '{dim}' are not whole numbers; declare it FLOAT64 or \ + resample outside the engine" + )] + AxisNotWhole { dim: String }, + #[error( + "source {index} ('{source_name}') {what} differs from source 1 ('{first}'); every \ + source of one COPY shares its grid and block layout" + )] + SourceMismatch { + index: usize, + source_name: String, + first: String, + what: String, + }, + #[error( + "WINDOW ({x0}, {y0}, {x1}, {y1}) lies outside the {width}x{height} image; give a \ + window inside it" + )] + WindowOutside { + x0: u32, + y0: u32, + x1: u32, + y1: u32, + width: u32, + height: u32, + }, + #[error("raster block {index} of source {source_index} {what}")] + BlockShape { + index: u32, + source_index: usize, + what: String, + }, + #[error("band {band} has no sample for this pixel")] + MissingSample { row: usize, band: usize }, + #[error( + "attr '{attr}' is NOT NULL, and band {band} holds no data at (pixel row {pixel_row}, \ + col {pixel_col})" + )] + NodataInNotNull { + row: usize, + attr: String, + band: usize, + pixel_row: u32, + pixel_col: u32, + }, +} + +impl RasterLoadError { + /// The SQLSTATE the refusal reports. + pub fn sqlstate(&self) -> &'static str { + match self { + Self::CrsMismatch { .. } + | Self::NoCrs { .. } + | Self::NoTransform + | Self::NoBandLoads + | Self::BandCount { .. } + | Self::BandListLength { .. } + | Self::Nodata { .. } + | Self::Misaligned { .. } + | Self::AxisNotWorld { .. } + | Self::AxisNotWhole { .. } + | Self::SourceMismatch { .. } + | Self::WindowOutside { .. } => "22023", + Self::BandType { .. } => "42804", + Self::UnmappedNotNull { .. } | Self::NodataInNotNull { .. } => "23502", + Self::UnknownAttr { .. } => "42703", + Self::GeorefDim { .. } => "XX000", + Self::DimWithoutSource { .. } => "0A000", + Self::TimeWithoutDim { .. } | Self::TimeMissing { .. } => "42601", + Self::TimeOutside { .. } | Self::FootprintOutside { .. } => "22003", + Self::BlockShape { .. } | Self::MissingSample { .. } => "22P04", + } + } + + /// The 1-based row the refusal names, or 0 when it refuses the whole + /// input. + pub fn row(&self) -> usize { + match self { + Self::MissingSample { row, .. } | Self::NodataInNotNull { row, .. } => *row, + Self::CrsMismatch { .. } + | Self::NoCrs { .. } + | Self::NoTransform + | Self::BandType { .. } + | Self::NoBandLoads + | Self::UnmappedNotNull { .. } + | Self::BandCount { .. } + | Self::BandListLength { .. } + | Self::UnknownAttr { .. } + | Self::GeorefDim { .. } + | Self::DimWithoutSource { .. } + | Self::TimeWithoutDim { .. } + | Self::TimeMissing { .. } + | Self::TimeOutside { .. } + | Self::Nodata { .. } + | Self::Misaligned { .. } + | Self::FootprintOutside { .. } + | Self::AxisNotWorld { .. } + | Self::AxisNotWhole { .. } + | Self::SourceMismatch { .. } + | Self::WindowOutside { .. } + | Self::BlockShape { .. } => 0, + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn per_pixel_refusals_name_their_row() { + let e = RasterLoadError::NodataInNotNull { + row: 7, + attr: "b1".into(), + band: 1, + pixel_row: 1, + pixel_col: 2, + }; + assert_eq!((e.row(), e.sqlstate()), (7, "23502")); + assert!(e.to_string().contains("(pixel row 1, col 2)")); + assert_eq!(RasterLoadError::NoTransform.row(), 0); + assert_eq!(RasterLoadError::NoTransform.sqlstate(), "22023"); + } +} diff --git a/nodedb-raster-load/src/grid.rs b/nodedb-raster-load/src/grid.rs new file mode 100644 index 000000000..63d11ba27 --- /dev/null +++ b/nodedb-raster-load/src/grid.rs @@ -0,0 +1,361 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Where each pixel lands in an array: the cell coordinates of its GEOREF +//! axes, checked against the dim domains once at open. +//! +//! A pixel-mode array stores pixel indexes. The file grid must be the +//! array grid shifted by whole pixels, so file pixel `(col, row)` is cell +//! `(col + col0, row + row0)`. A world-mode array stores pixel-centre +//! world coordinates, so the cell is the file geotransform at +//! `(col + 0.5, row + 0.5)`. +//! +//! The pixel-to-cell map is affine and each coordinate is monotone in the +//! pixel index. So the four corner pixels of the loaded window bound every +//! cell, and a footprint inside the dim domains puts every cell inside them. + +use nodedb_raster::GeoTransform; + +use crate::coords::bound_text; +use crate::error::RasterLoadError; +use crate::view::{CoordLiteral, DimType, DomainBound, ViewDim}; +use crate::window::PixelWindow; + +/// Largest relative difference between the file and array linear terms. +const LINEAR_TOLERANCE: f64 = 1e-9; +/// Largest distance from a whole number, in pixels or INT64 units. +const INTEGRAL_TOLERANCE: f64 = 1e-6; +/// Largest pixel offset kept as `i64`, so `offset + u32` never overflows. +const MAX_OFFSET: f64 = (1u64 << 62) as f64; + +/// The cell coordinates of one pixel on the array's GEOREF axes. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum CellGrid { + /// File pixel `(col, row)` is cell `(col + col0, row + row0)`. + Pixel { col0: i64, row0: i64 }, + /// The cell is the pixel centre in world coordinates. An `INT64` axis + /// holds the rounded centre, which open checks to be whole. + World { + gt: GeoTransform, + x_int: bool, + y_int: bool, + }, +} + +impl CellGrid { + /// The `(x, y)` cell coordinates of file pixel `(col, row)`. + pub fn cell(&self, col: u32, row: u32) -> (CoordLiteral, CoordLiteral) { + match *self { + CellGrid::Pixel { col0, row0 } => ( + CoordLiteral::Int64(i64::from(col) + col0), + CoordLiteral::Int64(i64::from(row) + row0), + ), + CellGrid::World { gt, x_int, y_int } => { + let (x, y) = gt.pixel_to_world(f64::from(col) + 0.5, f64::from(row) + 0.5); + (world_coord(x, x_int), world_coord(y, y_int)) + } + } + } +} + +fn world_coord(value: f64, int: bool) -> CoordLiteral { + if int { + // Open proved every centre on this axis whole and inside the domain. + CoordLiteral::Int64(value.round() as i64) + } else { + CoordLiteral::Float64(value) + } +} + +/// The file facts the grid checks read. +pub struct GridInput<'a> { + /// The array name, for messages. + pub array: &'a str, + pub x_dim: &'a ViewDim, + pub y_dim: &'a ViewDim, + /// The array GEOREF transform. `None` is a world-mode array. + pub array_gt: Option, + pub file_gt: GeoTransform, + /// The pixels that load. + pub window: PixelWindow, +} + +/// Check the file grid against the array and the loaded footprint against +/// the dim domains. Misalignment is `22023`, a footprint outside a domain +/// `22003`. +pub fn plan_grid(input: &GridInput<'_>) -> Result { + match input.array_gt { + Some(array_gt) => pixel_grid(input, array_gt), + None => world_grid(input), + } +} + +fn pixel_grid(input: &GridInput<'_>, array: GeoTransform) -> Result { + let file = input.file_gt.0; + let array_gt = array.0; + let scale = [1, 2, 4, 5] + .iter() + .map(|&k| array_gt[k].abs()) + .fold(0.0_f64, f64::max); + let linear_equal = [1, 2, 4, 5] + .iter() + .all(|&k| (file[k] - array_gt[k]).abs() <= LINEAR_TOLERANCE * scale); + if !linear_equal { + return Err(misaligned( + input, + format!( + "the file pixel size and rotation {:?} differ from the array TRANSFORM {:?}", + [file[1], file[2], file[4], file[5]], + [array_gt[1], array_gt[2], array_gt[4], array_gt[5]] + ), + )); + } + let Some((u0, v0)) = array.world_to_pixel(file[0], file[3]) else { + return Err(misaligned( + input, + "the array TRANSFORM has no inverse".into(), + )); + }; + let (Some(col0), Some(row0)) = (whole_offset(u0), whole_offset(v0)) else { + return Err(misaligned( + input, + format!("the file origin falls at array pixel ({u0}, {v0}), not on a whole pixel"), + )); + }; + let w = input.window; + check_int_span( + input.x_dim, + col0 + i64::from(w.col0), + col0 + i64::from(w.col1) - 1, + )?; + check_int_span( + input.y_dim, + row0 + i64::from(w.row0), + row0 + i64::from(w.row1) - 1, + )?; + Ok(CellGrid::Pixel { col0, row0 }) +} + +/// `value` rounded to `i64` when it is within the tolerance of a whole +/// number and inside the offset range. +fn whole_offset(value: f64) -> Option { + let rounded = value.round(); + let whole = (value - rounded).abs() <= INTEGRAL_TOLERANCE; + (whole && rounded.abs() <= MAX_OFFSET).then_some(rounded as i64) +} + +fn world_grid(input: &GridInput<'_>) -> Result { + let gt = input.file_gt; + let w = input.window; + let (c0, c1) = (f64::from(w.col0) + 0.5, f64::from(w.col1) - 0.5); + let (r0, r1) = (f64::from(w.row0) + 0.5, f64::from(w.row1) - 0.5); + let corners = [(c0, r0), (c1, r0), (c0, r1), (c1, r1)].map(|(u, v)| gt.pixel_to_world(u, v)); + let xs = corners.map(|(x, _)| x); + let ys = corners.map(|(_, y)| y); + let x_int = int_axis(input.x_dim)?; + let y_int = int_axis(input.y_dim)?; + let file = input.file_gt.0; + if x_int { + check_whole_axis(input.x_dim, &xs, [file[1], file[2]])?; + } + if y_int { + check_whole_axis(input.y_dim, &ys, [file[4], file[5]])?; + } + check_world_span(input.x_dim, &xs)?; + check_world_span(input.y_dim, &ys)?; + Ok(CellGrid::World { gt, x_int, y_int }) +} + +/// Whether a world-mode axis is `INT64`. GEOREF admits `INT64` and +/// `FLOAT64` axes only. +fn int_axis(dim: &ViewDim) -> Result { + match dim.dtype { + DimType::Int64 => Ok(true), + DimType::Float64 => Ok(false), + DimType::TimestampMs | DimType::String => Err(RasterLoadError::AxisNotWorld { + dim: dim.name.clone(), + }), + } +} + +/// Every pixel centre on an `INT64` world axis must be whole: the corner +/// centres and the per-pixel steps. +fn check_whole_axis( + dim: &ViewDim, + corners: &[f64; 4], + steps: [f64; 2], +) -> Result<(), RasterLoadError> { + let whole = |v: &f64| (v - v.round()).abs() <= INTEGRAL_TOLERANCE; + if corners.iter().all(whole) && steps.iter().all(whole) { + return Ok(()); + } + Err(RasterLoadError::AxisNotWhole { + dim: dim.name.clone(), + }) +} + +fn check_world_span(dim: &ViewDim, corners: &[f64; 4]) -> Result<(), RasterLoadError> { + let lo = corners.iter().copied().fold(f64::INFINITY, f64::min); + let hi = corners.iter().copied().fold(f64::NEG_INFINITY, f64::max); + match dim.dtype { + DimType::Int64 => check_int_span(dim, lo.round() as i64, hi.round() as i64), + DimType::Float64 | DimType::TimestampMs | DimType::String => { + let inside = match (&dim.lo, &dim.hi) { + (DomainBound::Float64(d_lo), DomainBound::Float64(d_hi)) => { + *d_lo <= lo && hi <= *d_hi + } + _ => false, + }; + if inside { + Ok(()) + } else { + Err(outside(dim, lo.to_string(), hi.to_string())) + } + } + } +} + +/// Check the integer span `[lo, hi]` of an axis against its domain. +fn check_int_span(dim: &ViewDim, lo: i64, hi: i64) -> Result<(), RasterLoadError> { + let inside = match (&dim.lo, &dim.hi) { + (DomainBound::Int64(d_lo), DomainBound::Int64(d_hi)) => *d_lo <= lo && hi <= *d_hi, + _ => false, + }; + if inside { + return Ok(()); + } + Err(outside(dim, lo.to_string(), hi.to_string())) +} + +fn outside(dim: &ViewDim, lo: String, hi: String) -> RasterLoadError { + RasterLoadError::FootprintOutside { + dim: dim.name.clone(), + lo, + hi, + domain_lo: bound_text(&dim.lo), + domain_hi: bound_text(&dim.hi), + } +} + +fn misaligned(input: &GridInput<'_>, why: String) -> RasterLoadError { + RasterLoadError::Misaligned { + array: input.array.to_string(), + why, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn int_dim(name: &str, lo: i64, hi: i64) -> ViewDim { + ViewDim { + name: name.into(), + dtype: DimType::Int64, + lo: DomainBound::Int64(lo), + hi: DomainBound::Int64(hi), + } + } + + fn float_dim(name: &str, lo: f64, hi: f64) -> ViewDim { + ViewDim { + name: name.into(), + dtype: DimType::Float64, + lo: DomainBound::Float64(lo), + hi: DomainBound::Float64(hi), + } + } + + const GT: [f64; 6] = [600_000.0, 30.0, 0.0, 700_000.0, 0.0, -30.0]; + + fn input<'a>( + x: &'a ViewDim, + y: &'a ViewDim, + array_gt: Option<[f64; 6]>, + file_gt: [f64; 6], + ) -> GridInput<'a> { + GridInput { + array: "scene", + x_dim: x, + y_dim: y, + array_gt: array_gt.map(GeoTransform), + file_gt: GeoTransform(file_gt), + window: PixelWindow::whole(256, 192), + } + } + + #[test] + fn a_shifted_file_lands_at_its_pixel_offset() { + let (x, y) = (int_dim("col", 0, 1000), int_dim("row", 0, 1000)); + let file = [ + 600_000.0 + 30.0 * 10.0, + 30.0, + 0.0, + 700_000.0 - 30.0 * 4.0, + 0.0, + -30.0, + ]; + let grid = plan_grid(&input(&x, &y, Some(GT), file)).expect("aligned"); + let (cx, cy) = grid.cell(0, 0); + assert_eq!(cx, CoordLiteral::Int64(10)); + assert_eq!(cy, CoordLiteral::Int64(4)); + } + + #[test] + fn a_half_pixel_shift_is_misaligned() { + let (x, y) = (int_dim("col", 0, 1000), int_dim("row", 0, 1000)); + let file = [600_015.0, 30.0, 0.0, 700_000.0, 0.0, -30.0]; + let err = plan_grid(&input(&x, &y, Some(GT), file)).expect_err("half pixel"); + assert_eq!(err.sqlstate(), "22023"); + assert!( + err.to_string().contains("resample outside the engine"), + "{err}" + ); + let scaled = [600_000.0, 10.0, 0.0, 700_000.0, 0.0, -10.0]; + let err = plan_grid(&input(&x, &y, Some(GT), scaled)).expect_err("pixel size"); + assert_eq!(err.sqlstate(), "22023"); + } + + #[test] + fn a_footprint_past_the_domain_is_22003() { + let (x, y) = (int_dim("col", 0, 255), int_dim("row", 0, 99)); + let err = plan_grid(&input(&x, &y, Some(GT), GT)).expect_err("rows past 99"); + assert_eq!(err.sqlstate(), "22003"); + } + + #[test] + fn a_window_inside_the_domain_loads_where_the_file_does_not_fit() { + let (x, y) = (int_dim("col", 0, 255), int_dim("row", 0, 99)); + let mut windowed = input(&x, &y, Some(GT), GT); + windowed.window = PixelWindow { + col0: 0, + row0: 0, + col1: 256, + row1: 100, + }; + assert!(plan_grid(&windowed).is_ok()); + } + + #[test] + fn world_cells_are_pixel_centres() { + let x = float_dim("x", 600_000.0, 607_680.0); + let y = float_dim("y", 694_240.0, 700_000.0); + let grid = plan_grid(&input(&x, &y, None, GT)).expect("inside"); + let (cx, cy) = grid.cell(2, 1); + assert_eq!(cx, CoordLiteral::Float64(600_075.0)); + assert_eq!(cy, CoordLiteral::Float64(699_955.0)); + } + + #[test] + fn int_world_axes_need_whole_centres() { + let x = int_dim("x", 0, 10_000_000); + let y = int_dim("y", 0, 10_000_000); + let quarter = [600_000.0, 25.0, 0.0, 700_000.0, 0.0, -25.0]; + let err = plan_grid(&input(&x, &y, None, quarter)).expect_err("centres at 12.5 m"); + assert_eq!(err.sqlstate(), "22023"); + let shifted = [599_985.0, 30.0, 0.0, 700_015.0, 0.0, -30.0]; + let grid = plan_grid(&input(&x, &y, None, shifted)).expect("whole centres"); + let (cx, cy) = grid.cell(1, 1); + assert_eq!(cx, CoordLiteral::Int64(600_030)); + assert_eq!(cy, CoordLiteral::Int64(699_970)); + } +} diff --git a/nodedb-raster-load/src/lib.rs b/nodedb-raster-load/src/lib.rs new file mode 100644 index 000000000..ea16076f9 --- /dev/null +++ b/nodedb-raster-load/src/lib.rs @@ -0,0 +1,43 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Raster-to-array load planning for NodeDB. +//! +//! A load opens one or more raster sources with `nodedb-raster`, describes +//! each with a [`SourceHeader`], and checks that every source shares one +//! grid and block layout ([`check_same_layout`]). [`RasterPlan::new`] runs +//! every open-time check against the array: CRS, band-to-attr types, grid +//! alignment, the dim domains, `TIME`, nodata and the pixel window. For +//! each block index the caller reads that block from every source, and +//! [`BlockRows`] turns the blocks into array rows. [`adopted_metadata`] +//! names the attr metadata `ADOPT_METADATA` takes from the files. +//! +//! The crate does no I/O, so a server and an embedded engine share it. + +pub mod bands; +pub mod coords; +pub mod error; +pub mod grid; +pub mod metadata; +pub mod nodata; +pub mod options; +pub mod plan; +pub mod rows; +pub mod source; +pub mod view; +pub mod window; + +pub use bands::{AttrSource, BandMap, map_bands}; +pub use coords::{CoordSource, plan_coords}; +pub use error::RasterLoadError; +pub use grid::{CellGrid, GridInput, plan_grid}; +pub use metadata::adopted_metadata; +pub use nodata::{Nodata, typed_nodata}; +pub use options::{BandTarget, LoadOptions}; +pub use plan::{PlanBand, RasterPlan}; +pub use rows::BlockRows; +pub use source::{LayoutError, SourceHeader, check_same_layout}; +pub use view::{ + AdoptedMeta, ArrayView, AttrLiteral, AttrMeta, AttrType, CoordLiteral, DimType, DomainBound, + LoadRow, ViewAttr, ViewDim, ViewGeoref, +}; +pub use window::PixelWindow; diff --git a/nodedb-raster-load/src/metadata.rs b/nodedb-raster-load/src/metadata.rs new file mode 100644 index 000000000..b31b3f295 --- /dev/null +++ b/nodedb-raster-load/src/metadata.rs @@ -0,0 +1,75 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ADOPT_METADATA true`: an attr with no metadata takes the nodata, +//! scale, offset and units the file declares for the band that loads into +//! it. An attr with any metadata set keeps all of it, so a load never +//! overrides a choice the schema made. + +use crate::bands::AttrSource; +use crate::plan::RasterPlan; +use crate::source::SourceHeader; +use crate::view::{AdoptedMeta, ArrayView, AttrMeta}; + +/// The metadata changes adoption makes, one per attr that changes. +pub fn adopted_metadata( + view: &ArrayView, + plan: &RasterPlan, + sources: &[SourceHeader], +) -> Vec { + let mut changes = Vec::new(); + for (attr, source) in view.attrs.iter().zip(plan.attrs()) { + let AttrSource::Band { band, .. } = source else { + continue; + }; + if attr.meta != AttrMeta::default() { + continue; + } + let Some(info) = plan + .band(*band) + .and_then(|at| sources.get(at.source)?.bands.get(at.band)) + else { + continue; + }; + let meta = AttrMeta { + nodata: info.nodata, + scale: info.scale, + offset: info.offset, + units: info.units.clone(), + }; + if meta != AttrMeta::default() { + changes.push(AdoptedMeta { + attr: attr.name.clone(), + meta, + }); + } + } + changes +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::options::LoadOptions; + use crate::plan::tests::{georef, source, view}; + use nodedb_raster::{BandInfo, SampleType}; + + #[test] + fn only_attrs_without_metadata_adopt_the_band_metadata() { + let mut info = BandInfo::plain(SampleType::U16); + info.nodata = Some(0.0); + info.scale = Some(2.75e-5); + info.offset = Some(-0.2); + info.units = Some("reflectance".into()); + let sources = [source("/B4.TIF", info.clone()), source("/B5.TIF", info)]; + let mut view = view(); + view.attrs[1].meta.scale = Some(1.0); + let plan = + RasterPlan::new(&view, &georef(), &sources, &LoadOptions::default()).expect("plans"); + let changes = adopted_metadata(&view, &plan, &sources); + assert_eq!(changes.len(), 1, "nir has metadata; qa has no band"); + assert_eq!(changes[0].attr, "red"); + let meta = &changes[0].meta; + assert_eq!(meta.scale, Some(2.75e-5)); + assert_eq!(meta.units.as_deref(), Some("reflectance")); + } +} diff --git a/nodedb-raster-load/src/nodata.rs b/nodedb-raster-load/src/nodata.rs new file mode 100644 index 000000000..dbface907 --- /dev/null +++ b/nodedb-raster-load/src/nodata.rs @@ -0,0 +1,106 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A nodata value typed by its band's sample type. + +use nodedb_raster::{BandSamples, SampleType}; + +use crate::error::RasterLoadError; + +/// The nodata value, typed by the sample type. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum Nodata { + Int(i64), + F32(f32), + F64(f64), +} + +impl Nodata { + /// Whether sample `index` of `band` is nodata. NaN matches NaN. + pub fn matches(self, band: &BandSamples, index: usize) -> bool { + let int = |n: i64, v: Option| v == Some(n); + match (self, band) { + (Nodata::Int(n), BandSamples::U8(v)) => int(n, v.get(index).map(|s| i64::from(*s))), + (Nodata::Int(n), BandSamples::I8(v)) => int(n, v.get(index).map(|s| i64::from(*s))), + (Nodata::Int(n), BandSamples::U16(v)) => int(n, v.get(index).map(|s| i64::from(*s))), + (Nodata::Int(n), BandSamples::I16(v)) => int(n, v.get(index).map(|s| i64::from(*s))), + (Nodata::Int(n), BandSamples::U32(v)) => int(n, v.get(index).map(|s| i64::from(*s))), + (Nodata::Int(n), BandSamples::I32(v)) => int(n, v.get(index).map(|s| i64::from(*s))), + (Nodata::F32(n), BandSamples::F32(v)) => v + .get(index) + .is_some_and(|s| *s == n || (s.is_nan() && n.is_nan())), + (Nodata::F64(n), BandSamples::F64(v)) => v + .get(index) + .is_some_and(|s| *s == n || (s.is_nan() && n.is_nan())), + ( + Nodata::Int(_) | Nodata::F32(_) | Nodata::F64(_), + BandSamples::U8(_) + | BandSamples::I8(_) + | BandSamples::U16(_) + | BandSamples::I16(_) + | BandSamples::U32(_) + | BandSamples::I32(_) + | BandSamples::F32(_) + | BandSamples::F64(_), + ) => false, + } + } +} + +/// `value` as a nodata of `sample`. An integer type needs a whole value in +/// its range. `f32` takes the nearest `f32`, as GDAL compares. +pub fn typed_nodata(value: f64, sample: SampleType) -> Result { + let range = match sample { + SampleType::U8 => (f64::from(u8::MIN), f64::from(u8::MAX)), + SampleType::I8 => (f64::from(i8::MIN), f64::from(i8::MAX)), + SampleType::U16 => (f64::from(u16::MIN), f64::from(u16::MAX)), + SampleType::I16 => (f64::from(i16::MIN), f64::from(i16::MAX)), + SampleType::U32 => (f64::from(u32::MIN), f64::from(u32::MAX)), + SampleType::I32 => (f64::from(i32::MIN), f64::from(i32::MAX)), + SampleType::F32 if value.is_finite() && value.abs() > f64::from(f32::MAX) => { + return Err(RasterLoadError::Nodata { value, sample }); + } + SampleType::F32 => return Ok(Nodata::F32(value as f32)), + SampleType::F64 => return Ok(Nodata::F64(value)), + }; + let (lo, hi) = range; + if value.fract() == 0.0 && lo <= value && value <= hi { + Ok(Nodata::Int(value as i64)) + } else { + Err(RasterLoadError::Nodata { value, sample }) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn integer_nodata_must_be_a_sample_value() { + assert_eq!(typed_nodata(0.0, SampleType::U16), Ok(Nodata::Int(0))); + assert_eq!( + typed_nodata(-9999.0, SampleType::I16), + Ok(Nodata::Int(-9999)) + ); + for (value, sample) in [ + (-1.0, SampleType::U16), + (65536.0, SampleType::U16), + (0.5, SampleType::U8), + (f64::NAN, SampleType::U32), + (1e39, SampleType::F32), + ] { + let err = typed_nodata(value, sample).expect_err("unrepresentable"); + assert_eq!(err.sqlstate(), "22023", "{value} as {sample}"); + } + } + + #[test] + fn nan_nodata_matches_nan_samples() { + let band = BandSamples::F32(vec![f32::NAN, 1.0]); + let nodata = typed_nodata(f64::NAN, SampleType::F32).expect("NaN is an f32 value"); + assert!(nodata.matches(&band, 0)); + assert!(!nodata.matches(&band, 1)); + let ints = BandSamples::U16(vec![0, 7]); + assert!(Nodata::Int(0).matches(&ints, 0)); + assert!(!Nodata::Int(0).matches(&ints, 1)); + } +} diff --git a/nodedb-raster-load/src/options.rs b/nodedb-raster-load/src/options.rs new file mode 100644 index 000000000..4a23f1fbd --- /dev/null +++ b/nodedb-raster-load/src/options.rs @@ -0,0 +1,30 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The options a raster load plans from. The server converts its statement +//! options into this form, so the crate holds no SQL types for them. + +use crate::window::PixelWindow; + +/// Where one band of the load goes. +#[derive(Debug, Clone, PartialEq, Eq)] +pub enum BandTarget { + /// The band loads into this array attr. + Attr(String), + /// The band does not load. + Skip, +} + +/// The planning options of one load. +#[derive(Debug, Clone, PartialEq, Default)] +pub struct LoadOptions { + /// Entry `i` names where band `i` of the sources' bands in order loads. + /// `None` loads band `i` into attr `i`. + pub bands: Option>, + /// The nodata of every band, in place of the file's nodata. + pub nodata: Option, + /// The scene instant every loaded cell carries, in milliseconds since + /// the Unix epoch. + pub time_ms: Option, + /// The pixel window to load. `None` loads the whole image. + pub window: Option, +} diff --git a/nodedb-raster-load/src/plan.rs b/nodedb-raster-load/src/plan.rs new file mode 100644 index 000000000..7421a5c05 --- /dev/null +++ b/nodedb-raster-load/src/plan.rs @@ -0,0 +1,360 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The open-time checks of a raster load. Every check runs before the +//! first block decodes, so a refused input commits no row. +//! +//! - The file CRS of every source must be the array GEOREF SRID (`22023`). +//! The server refuses an array with no GEOREF (`55000`) before planning. +//! - Bands map onto attrs by the lossless type rule (`42804`), and an attr +//! no band fills must be nullable (`23502`). +//! - The file grid must align with the array (`22023`), and the loaded +//! footprint must fit the dim domains (`22003`). +//! - `TIME` fills the one `TIMESTAMP` dim. Any other dim has no source. +//! - The nodata value must be a value of the band's sample type (`22023`). +//! +//! Nodata precedence: the COPY `NODATA` option, then the file's nodata of +//! the band (`GDAL_NODATA`, or a `GDAL_METADATA` band item), then the +//! `NODATA` metadata of the attr the band loads into. The COPY option +//! applies to every band. An attr nodata no sample can equal matches no +//! pixel. + +use nodedb_raster::{BlockWindow, SampleType}; + +use crate::bands::{AttrSource, map_bands}; +use crate::coords::{CoordSource, plan_coords}; +use crate::error::RasterLoadError; +use crate::grid::{CellGrid, GridInput, plan_grid}; +use crate::nodata::{Nodata, typed_nodata}; +use crate::options::LoadOptions; +use crate::source::SourceHeader; +use crate::view::{ArrayView, ViewDim, ViewGeoref}; +use crate::window::PixelWindow; + +/// Where one band of the load comes from. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct PlanBand { + /// The source index, in statement order. + pub source: usize, + /// The band index within the source. + pub band: usize, + pub sample: SampleType, +} + +/// How every pixel of an accepted input becomes a row. +#[derive(Debug)] +pub struct RasterPlan { + /// The image width, for row numbers. + pub(crate) width: u32, + /// The pixels that load. + pub(crate) window: PixelWindow, + /// Every source's bands in source order. + pub(crate) bands: Vec, + /// Bands per source. + pub(crate) source_bands: Vec, + /// One source per dim, in schema order. + pub(crate) coords: Vec, + /// One source per attr, in schema order. + pub(crate) attrs: Vec, + /// The bands that load. A pixel is skipped when none of them holds a + /// value. + pub(crate) loaded: Vec, + pub(crate) grid: CellGrid, + /// The nodata of each band, by band index. `None` matches no sample. + pub(crate) band_nodata: Vec>, +} + +impl RasterPlan { + /// Run every open-time check of `sources` against `view`. `sources` + /// share one grid, which [`crate::source::check_same_layout`] checks. + pub fn new( + view: &ArrayView, + georef: &ViewGeoref, + sources: &[SourceHeader], + options: &LoadOptions, + ) -> Result { + let first = sources.first().ok_or(RasterLoadError::NoBandLoads)?; + for source in sources { + check_srid(view, georef, source)?; + } + let bands: Vec = sources + .iter() + .enumerate() + .flat_map(|(source, header)| { + header + .bands + .iter() + .enumerate() + .map(move |(band, info)| PlanBand { + source, + band, + sample: info.sample_type, + }) + }) + .collect(); + let samples: Vec = bands.iter().map(|band| band.sample).collect(); + let map = map_bands(view, &samples, options.bands.as_deref())?; + let (x_index, x_dim) = georef_axis(view, &georef.x_dim)?; + let (y_index, y_dim) = georef_axis(view, &georef.y_dim)?; + let file_gt = first.transform.ok_or(RasterLoadError::NoTransform)?; + let window = PixelWindow::of(options.window, first.width, first.height)?; + let grid = plan_grid(&GridInput { + array: &view.name, + x_dim, + y_dim, + array_gt: georef.transform, + file_gt, + window, + })?; + let coords = plan_coords(view, x_index, y_index, options.time_ms)?; + let band_nodata = band_nodata(view, sources, &bands, options, &map.attrs)?; + Ok(Self { + width: first.width, + window, + source_bands: sources.iter().map(|s| s.bands.len()).collect(), + bands, + coords, + attrs: map.attrs, + loaded: map.loaded, + grid, + band_nodata, + }) + } + + /// The pixels that load. + pub fn window(&self) -> PixelWindow { + self.window + } + + /// Whether block `window` holds a pixel that loads. A load reads only + /// those blocks. + pub fn wants_block(&self, window: &BlockWindow) -> bool { + self.window.overlaps(window) + } + + /// The sources the plan reads, in statement order. + pub fn source_count(&self) -> usize { + self.source_bands.len() + } + + /// Where band `band` of the load comes from. + pub fn band(&self, band: usize) -> Option { + self.bands.get(band).copied() + } + + /// The attr sources, in schema order. + pub fn attrs(&self) -> &[AttrSource] { + &self.attrs + } +} + +/// The nodata of each band. The COPY option applies to every band. Without +/// it, a band takes the file's nodata of the band, else the `NODATA` of the +/// attr it loads into. The COPY option and the file nodata must be sample +/// values. +fn band_nodata( + view: &ArrayView, + sources: &[SourceHeader], + bands: &[PlanBand], + options: &LoadOptions, + attrs: &[AttrSource], +) -> Result>, RasterLoadError> { + if let Some(value) = options.nodata { + return bands + .iter() + .map(|band| typed_nodata(value, band.sample).map(Some)) + .collect(); + } + let mut out = vec![None; bands.len()]; + for (attr, source) in view.attrs.iter().zip(attrs) { + if let (AttrSource::Band { band, .. }, Some(value)) = (source, attr.meta.nodata) + && let (Some(slot), Some(plan)) = (out.get_mut(*band), bands.get(*band)) + { + *slot = typed_nodata(value, plan.sample).ok(); + } + } + for (slot, plan) in out.iter_mut().zip(bands) { + let file = sources + .get(plan.source) + .and_then(|source| source.bands.get(plan.band)) + .and_then(|info| info.nodata); + if let Some(value) = file { + *slot = Some(typed_nodata(value, plan.sample)?); + } + } + Ok(out) +} + +fn check_srid( + view: &ArrayView, + georef: &ViewGeoref, + source: &SourceHeader, +) -> Result<(), RasterLoadError> { + match source.srid { + Some(code) if code == georef.srid => Ok(()), + Some(code) => Err(RasterLoadError::CrsMismatch { + array: view.name.clone(), + file: code, + georef: georef.srid, + }), + None => Err(RasterLoadError::NoCrs { + array: view.name.clone(), + georef: georef.srid, + }), + } +} + +/// The index and spec of the dim a GEOREF axis names. +fn georef_axis<'v>( + view: &'v ArrayView, + name: &str, +) -> Result<(usize, &'v ViewDim), RasterLoadError> { + view.dims + .iter() + .enumerate() + .find(|(_, dim)| dim.name.eq_ignore_ascii_case(name)) + .ok_or_else(|| RasterLoadError::GeorefDim { + array: view.name.clone(), + dim: name.to_string(), + }) +} + +#[cfg(test)] +pub(crate) mod tests { + use super::*; + use crate::options::BandTarget; + use crate::view::{AttrType, DimType, DomainBound, ViewAttr}; + use nodedb_raster::GeoTransform; + use nodedb_raster::{BandInfo, CrsRef, RasterHeader}; + + pub(crate) const GT: [f64; 6] = [600_000.0, 30.0, 0.0, 700_000.0, 0.0, -30.0]; + + fn dim(name: &str) -> ViewDim { + ViewDim { + name: name.into(), + dtype: DimType::Int64, + lo: DomainBound::Int64(0), + hi: DomainBound::Int64(1_000), + } + } + + pub(crate) fn view() -> ArrayView { + let attr = |name: &str, dtype| ViewAttr { + name: name.into(), + dtype, + nullable: true, + meta: Default::default(), + }; + ArrayView { + name: "scene".into(), + dims: vec![dim("row"), dim("col")], + attrs: vec![ + attr("red", AttrType::UInt16), + attr("nir", AttrType::UInt16), + attr("qa", AttrType::UInt16), + ], + georef: None, + } + } + + pub(crate) fn georef() -> ViewGeoref { + ViewGeoref { + srid: 32_647, + x_dim: "col".into(), + y_dim: "row".into(), + transform: Some(GeoTransform(GT)), + } + } + + pub(crate) fn source(name: &str, info: BandInfo) -> SourceHeader { + let header = RasterHeader { + width: 256, + height: 192, + outer: Vec::new(), + bands: vec![info], + transform: Some(GeoTransform(GT)), + crs: CrsRef::Epsg(32_647), + }; + SourceHeader::new(name, &header, Some(32_647)) + } + + fn u16_band() -> BandInfo { + BandInfo::plain(SampleType::U16) + } + + #[test] + fn three_single_band_sources_fill_three_attrs() { + let sources = [ + source("/B4.TIF", u16_band()), + source("/B5.TIF", u16_band()), + source("/QA.TIF", u16_band()), + ]; + let options = LoadOptions { + bands: Some(vec![ + BandTarget::Attr("red".into()), + BandTarget::Attr("nir".into()), + BandTarget::Attr("qa".into()), + ]), + ..Default::default() + }; + let plan = RasterPlan::new(&view(), &georef(), &sources, &options).expect("plans"); + assert_eq!(plan.source_count(), 3); + assert_eq!(plan.loaded, vec![0, 1, 2]); + assert_eq!( + plan.band(2), + Some(PlanBand { + source: 2, + band: 0, + sample: SampleType::U16 + }) + ); + } + + #[test] + fn a_source_in_another_crs_is_refused() { + let mut other = source("/B5.TIF", u16_band()); + other.srid = Some(4326); + let sources = [source("/B4.TIF", u16_band()), other]; + let err = RasterPlan::new(&view(), &georef(), &sources, &Default::default()) + .expect_err("4326 against 32647"); + assert_eq!(err.sqlstate(), "22023"); + } + + #[test] + fn file_nodata_and_the_window_shape_the_plan() { + let mut info = u16_band(); + info.nodata = Some(0.0); + let sources = [source("/B4.TIF", info)]; + let options = LoadOptions { + window: Some(PixelWindow { + col0: 64, + row0: 0, + col1: 128, + row1: 64, + }), + ..Default::default() + }; + let plan = RasterPlan::new(&view(), &georef(), &sources, &options).expect("plans"); + assert_eq!(plan.band_nodata, vec![Some(Nodata::Int(0))]); + let block = |col_off| BlockWindow { + outer: Vec::new(), + col_off, + row_off: 0, + width: 64, + height: 64, + }; + assert!(!plan.wants_block(&block(0))); + assert!(plan.wants_block(&block(64))); + assert!(!plan.wants_block(&block(128))); + let past = LoadOptions { + window: Some(PixelWindow { + col0: 0, + row0: 0, + col1: 300, + row1: 10, + }), + ..Default::default() + }; + let err = RasterPlan::new(&view(), &georef(), &sources, &past).expect_err("past"); + assert_eq!(err.sqlstate(), "22023"); + } +} diff --git a/nodedb-raster-load/src/rows.rs b/nodedb-raster-load/src/rows.rs new file mode 100644 index 000000000..871c8b92d --- /dev/null +++ b/nodedb-raster-load/src/rows.rs @@ -0,0 +1,430 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The rows of one block index, read one pixel at a time across every +//! source. +//! +//! A load reads the same block index from every source, so one row carries +//! every band's attr. A row's number is the pixel's row-major ordinal in +//! the image plus one. A pixel outside the loaded window is skipped. A band +//! holds no data at a pixel its mask marks invalid (an internal mask, its +//! LERC mask, or a block the file omits) or where it holds its nodata. A +//! pixel where no loaded band holds data is skipped. A kept pixel writes +//! NULL for a band that holds no data, or is refused with `23502` when the +//! attr is NOT NULL. Open checked the types and the footprint, so no other +//! check runs per pixel. +//! +//! Each kept pixel allocates its coordinate and attr vectors, sized +//! exactly. A skipped pixel allocates nothing. + +use nodedb_raster::{BandSamples, BlockWindow, RasterBlock}; + +use crate::bands::AttrSource; +use crate::coords::CoordSource; +use crate::error::RasterLoadError; +use crate::plan::RasterPlan; +use crate::view::{AttrLiteral, CoordLiteral, LoadRow}; + +/// The rows of one block index in pixel order within the block. +pub struct BlockRows<'a> { + plan: &'a RasterPlan, + /// One block per source, in source order, all of one window. + blocks: &'a [RasterBlock], + window: &'a BlockWindow, + next: usize, + pixels: usize, +} + +impl<'a> BlockRows<'a> { + /// Read `blocks`, one per source, under `plan`. A block with the wrong + /// band count, a short band, or a window unlike the first source's is a + /// malformed input (`22P04`). + pub fn new(plan: &'a RasterPlan, blocks: &'a [RasterBlock]) -> Result { + let shape = |index: u32, source: usize, what: String| RasterLoadError::BlockShape { + index, + source_index: source + 1, + what, + }; + let Some(first) = blocks.first() else { + return Err(shape(0, 0, "is missing".into())); + }; + if blocks.len() != plan.source_count() { + return Err(shape( + first.index, + 0, + format!( + "came from {} sources, the load reads {}", + blocks.len(), + plan.source_count() + ), + )); + } + let pixels = first.window.pixels(); + for (source, block) in blocks.iter().enumerate() { + if block.window != first.window { + return Err(shape( + block.index, + source, + "covers another window than source 1".into(), + )); + } + let declared = plan.source_bands.get(source).copied().unwrap_or(0); + if block.bands.len() != declared { + return Err(shape( + block.index, + source, + format!( + "decoded {} bands, the file declares {declared}", + block.bands.len() + ), + )); + } + if let Some(short) = block.bands.iter().find(|band| band.len() < pixels) { + return Err(shape( + block.index, + source, + format!("decoded {} samples, its window holds {pixels}", short.len()), + )); + } + } + Ok(Self { + plan, + blocks, + window: &first.window, + next: 0, + pixels, + }) + } + + /// The samples of load band `band`, and the block that holds them. + fn band_block(&self, band: usize) -> Option<(&'a RasterBlock, usize)> { + let at = self.plan.band(band)?; + let block = self.blocks.get(at.source)?; + Some((block, at.band)) + } + + /// Whether load band `band` holds data at pixel `index`: its mask + /// marks the pixel valid and the sample is not its nodata. + fn holds_data(&self, band: usize, index: usize) -> bool { + let Some((block, local)) = self.band_block(band) else { + return false; + }; + if !block.band_valid(local, index) { + return false; + } + match ( + self.plan.band_nodata.get(band).copied().flatten(), + block.bands.get(local), + ) { + (Some(nodata), Some(samples)) => !nodata.matches(samples, index), + (None, Some(_)) => true, + (_, None) => false, + } + } + + /// The image pixel `(col, row)` of window pixel `index`. + fn pixel(&self, index: usize) -> (u32, u32) { + let window = self.window; + let local_row = index / window.width as usize; + let local_col = index % window.width as usize; + // The window lies inside the image, so both fit `u32`. + ( + window.col_off + local_col as u32, + window.row_off + local_row as u32, + ) + } + + /// The row of pixel `index` of the block. + fn row(&self, index: usize) -> Result<(usize, LoadRow), RasterLoadError> { + let (col, row) = self.pixel(index); + let row_no = row as usize * self.plan.width as usize + col as usize + 1; + let (x, y) = self.plan.grid.cell(col, row); + let mut coords = Vec::with_capacity(self.plan.coords.len()); + for source in &self.plan.coords { + coords.push(match source { + CoordSource::X => x.clone(), + CoordSource::Y => y.clone(), + CoordSource::Time(ms) => CoordLiteral::Int64(*ms), + }); + } + let mut attrs = Vec::with_capacity(self.plan.attrs.len()); + for source in &self.plan.attrs { + let AttrSource::Band { + band, + float, + nullable, + name, + } = source + else { + attrs.push(AttrLiteral::Null); + continue; + }; + let literal = match (self.holds_data(*band, index), *nullable) { + (false, true) => AttrLiteral::Null, + (false, false) => { + return Err(RasterLoadError::NodataInNotNull { + row: row_no, + attr: name.clone(), + band: band + 1, + pixel_row: row, + pixel_col: col, + }); + } + (true, _) => self + .band_block(*band) + .and_then(|(block, local)| block.bands.get(local)) + .and_then(|samples| sample_literal(samples, index, *float)) + .ok_or(RasterLoadError::MissingSample { + row: row_no, + band: band + 1, + })?, + }; + attrs.push(literal); + } + Ok((row_no, LoadRow { coords, attrs })) + } + + /// Whether pixel `index` loads: inside the window, and some loaded band + /// holds data there. + fn keeps(&self, index: usize) -> bool { + let (col, row) = self.pixel(index); + self.plan.window.contains(col, row) + && self + .plan + .loaded + .iter() + .any(|&band| self.holds_data(band, index)) + } +} + +impl Iterator for BlockRows<'_> { + type Item = Result<(usize, LoadRow), RasterLoadError>; + + fn next(&mut self) -> Option { + while self.next < self.pixels { + let index = self.next; + self.next += 1; + if self.keeps(index) { + return Some(self.row(index)); + } + } + None + } +} + +/// Sample `index` as an attr literal. Open admitted only lossless pairs, +/// so an integer sample widens to `f64` exactly when the attr is a float. +fn sample_literal(samples: &BandSamples, index: usize, float: bool) -> Option { + let int = |n: i64| { + if float { + AttrLiteral::Float64(n as f64) + } else { + AttrLiteral::Int64(n) + } + }; + match samples { + BandSamples::U8(v) => v.get(index).map(|s| int(i64::from(*s))), + BandSamples::I8(v) => v.get(index).map(|s| int(i64::from(*s))), + BandSamples::U16(v) => v.get(index).map(|s| int(i64::from(*s))), + BandSamples::I16(v) => v.get(index).map(|s| int(i64::from(*s))), + BandSamples::U32(v) => v.get(index).map(|s| int(i64::from(*s))), + BandSamples::I32(v) => v.get(index).map(|s| int(i64::from(*s))), + BandSamples::F32(v) => v.get(index).map(|s| AttrLiteral::Float64(f64::from(*s))), + BandSamples::F64(v) => v.get(index).map(|s| AttrLiteral::Float64(*s)), + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::grid::CellGrid; + use crate::nodata::Nodata; + use crate::plan::PlanBand; + use crate::window::PixelWindow; + use nodedb_raster::SampleType; + + fn band(source: usize, band: usize) -> PlanBand { + PlanBand { + source, + band, + sample: SampleType::U16, + } + } + + fn plan(nullable: bool) -> RasterPlan { + RasterPlan { + width: 4, + window: PixelWindow::whole(4, 2), + bands: vec![band(0, 0), band(0, 1)], + source_bands: vec![2], + coords: vec![CoordSource::Y, CoordSource::X], + attrs: vec![ + AttrSource::Band { + band: 0, + float: false, + nullable, + name: "b1".into(), + }, + AttrSource::Band { + band: 1, + float: true, + nullable: true, + name: "b2".into(), + }, + AttrSource::Null, + ], + loaded: vec![0, 1], + grid: CellGrid::Pixel { col0: 10, row0: 20 }, + band_nodata: vec![Some(Nodata::Int(0)), Some(Nodata::Int(0))], + } + } + + fn window() -> BlockWindow { + BlockWindow { + outer: Vec::new(), + col_off: 2, + row_off: 0, + width: 2, + height: 2, + } + } + + fn block() -> RasterBlock { + RasterBlock { + index: 1, + window: window(), + bands: vec![ + BandSamples::U16(vec![5, 0, 0, 7]), + BandSamples::U16(vec![6, 0, 9, 8]), + ], + masks: vec![None, None], + } + } + + fn rows(plan: &RasterPlan, blocks: &[RasterBlock]) -> Vec<(usize, LoadRow)> { + BlockRows::new(plan, blocks) + .expect("block fits") + .collect::>() + .expect("all rows load") + } + + /// Attr metadata gives each band its own nodata: a band with none never + /// holds nodata, so no pixel is skipped and only band 1 writes NULL. + #[test] + fn per_band_nodata_applies_to_its_band_only() { + let mut plan = plan(true); + plan.band_nodata = vec![Some(Nodata::Int(0)), None]; + let rows = rows(&plan, &[block()]); + assert_eq!(rows.len(), 4); + let (_, both_zero) = &rows[1]; + assert_eq!(both_zero.attrs[0], AttrLiteral::Null); + assert_eq!(both_zero.attrs[1], AttrLiteral::Float64(0.0)); + } + + #[test] + fn rows_skip_all_nodata_pixels_and_null_partial_ones() { + let rows = rows(&plan(true), &[block()]); + let numbers: Vec = rows.iter().map(|(n, _)| *n).collect(); + // Pixel (0, 3) is nodata in both bands. Row-major ordinals: 2, 6, 7. + assert_eq!(numbers, vec![3, 7, 8]); + let (_, first) = &rows[0]; + assert_eq!( + first.coords, + vec![CoordLiteral::Int64(20), CoordLiteral::Int64(12)] + ); + assert_eq!( + first.attrs, + vec![ + AttrLiteral::Int64(5), + AttrLiteral::Float64(6.0), + AttrLiteral::Null + ] + ); + let (_, partial) = &rows[1]; + assert_eq!(partial.attrs[0], AttrLiteral::Null); + assert_eq!(partial.attrs[1], AttrLiteral::Float64(9.0)); + } + + #[test] + fn a_nodata_band_in_a_not_null_attr_names_the_pixel() { + let (plan, blocks) = (plan(false), [block()]); + let err = BlockRows::new(&plan, &blocks) + .expect("block fits") + .find_map(Result::err) + .expect("pixel (1, 2) is refused"); + assert_eq!(err.sqlstate(), "23502"); + assert_eq!(err.row(), 7); + assert!(err.to_string().contains("(pixel row 1, col 2)"), "{err}"); + } + + #[test] + fn a_band_mask_nulls_its_band_and_an_all_masked_pixel_is_skipped() { + let plan = plan(true); + let mut block = block(); + block.masks = vec![ + Some(vec![false, true, true, false]), + Some(vec![true, true, true, false]), + ]; + let rows = rows(&plan, &[block]); + let numbers: Vec = rows.iter().map(|(n, _)| *n).collect(); + // Pixel 1 is nodata in both bands; pixel 3 is masked in both. + assert_eq!(numbers, vec![3, 7]); + let (_, masked_first) = &rows[0]; + assert_eq!(masked_first.attrs[0], AttrLiteral::Null); + assert_eq!(masked_first.attrs[1], AttrLiteral::Float64(6.0)); + } + + #[test] + fn sources_load_in_lockstep_into_one_row() { + let mut plan = plan(true); + plan.bands = vec![band(0, 0), band(1, 0)]; + plan.source_bands = vec![1, 1]; + let red = RasterBlock { + index: 1, + window: window(), + bands: vec![BandSamples::U16(vec![5, 0, 0, 7])], + masks: vec![None], + }; + let nir = RasterBlock { + index: 1, + window: window(), + bands: vec![BandSamples::U16(vec![6, 0, 9, 8])], + masks: vec![None], + }; + let rows = rows(&plan, &[red.clone(), nir.clone()]); + let (_, first) = &rows[0]; + assert_eq!(first.attrs[0], AttrLiteral::Int64(5)); + assert_eq!(first.attrs[1], AttrLiteral::Float64(6.0)); + assert_eq!(rows.len(), 3); + let mut shifted = nir; + shifted.window.col_off = 0; + let err = BlockRows::new(&plan, &[red, shifted]) + .err() + .expect("windows differ"); + assert_eq!(err.sqlstate(), "22P04"); + } + + #[test] + fn pixels_outside_the_window_are_skipped() { + let mut plan = plan(true); + plan.window = PixelWindow { + col0: 3, + row0: 0, + col1: 4, + row1: 1, + }; + let numbers: Vec = rows(&plan, &[block()]).iter().map(|(n, _)| *n).collect(); + assert_eq!(numbers, Vec::::new()); + plan.window.col0 = 2; + let numbers: Vec = rows(&plan, &[block()]).iter().map(|(n, _)| *n).collect(); + assert_eq!(numbers, vec![3]); + } + + #[test] + fn a_short_block_is_malformed() { + let plan = plan(true); + let mut block = block(); + block.bands[1] = BandSamples::U16(vec![1]); + let err = BlockRows::new(&plan, &[block]).err().expect("short band"); + assert_eq!(err.sqlstate(), "22P04"); + } +} diff --git a/nodedb-raster-load/src/source.rs b/nodedb-raster-load/src/source.rs new file mode 100644 index 000000000..f4f9df55c --- /dev/null +++ b/nodedb-raster-load/src/source.rs @@ -0,0 +1,215 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! What each source's header says, and the check that every source of one +//! load shares a grid and a block layout. +//! +//! A multi-source load reads the same block index from every source in +//! lockstep, so each cell write carries the bands of every source. That +//! needs one image size, one geotransform, one CRS and one block grid. + +use nodedb_raster::{BandInfo, BlockWindow, GeoTransform, RasterError, RasterHeader, RasterReader}; + +use crate::error::RasterLoadError; + +/// The header facts of one source a load plans from. +#[derive(Debug, Clone, PartialEq)] +pub struct SourceHeader { + /// The source as the statement wrote it, for messages. + pub name: String, + pub width: u32, + pub height: u32, + /// One entry per band of the source, in file order. + pub bands: Vec, + /// The GDAL-order pixel-corner geotransform. `None` when the file has + /// none. + pub transform: Option, + /// The SRID the file CRS resolves to. `None` when it names none. + pub srid: Option, +} + +impl SourceHeader { + /// The facts of `header`, with its CRS resolved to `srid`. + pub fn new(name: impl Into, header: &RasterHeader, srid: Option) -> Self { + Self { + name: name.into(), + width: header.width, + height: header.height, + bands: header.bands.clone(), + transform: header.transform, + srid, + } + } +} + +/// Why two sources do not share a layout: a header mismatch, or a block +/// window the reader cannot name. +#[derive(Debug, thiserror::Error)] +pub enum LayoutError { + #[error(transparent)] + Mismatch(#[from] RasterLoadError), + #[error(transparent)] + Reader(#[from] RasterError), +} + +/// Check that every source shares the first source's image size, +/// geotransform, CRS and block grid. `headers[i]` describes `readers[i]`. +pub fn check_same_layout( + headers: &[SourceHeader], + readers: &[R], +) -> Result<(), LayoutError> { + let (Some(first), Some(first_reader)) = (headers.first(), readers.first()) else { + return Ok(()); + }; + for (offset, (header, reader)) in headers.iter().zip(readers).enumerate().skip(1) { + let mismatch = |what: String| RasterLoadError::SourceMismatch { + index: offset + 1, + source_name: header.name.clone(), + first: first.name.clone(), + what, + }; + if (header.width, header.height) != (first.width, first.height) { + return Err(mismatch(format!( + "grid {}x{} (source 1 is {}x{})", + header.width, header.height, first.width, first.height + )) + .into()); + } + let transform = header.transform.map(|gt| gt.0); + let first_transform = first.transform.map(|gt| gt.0); + if transform != first_transform { + return Err(mismatch(format!( + "geotransform {transform:?} (source 1 is {first_transform:?})" + )) + .into()); + } + if header.srid != first.srid { + return Err(mismatch(format!( + "CRS {} (source 1 is {})", + srid_text(header.srid), + srid_text(first.srid) + )) + .into()); + } + let count = reader.block_count(); + if count != first_reader.block_count() { + return Err(mismatch(format!( + "block count {count} (source 1 has {})", + first_reader.block_count() + )) + .into()); + } + for index in 0..count { + let window = reader.block_window(index)?; + let expected = first_reader.block_window(index)?; + if window != expected { + return Err(mismatch(format!( + "block {index} window {} (source 1 is {})", + window_text(&window), + window_text(&expected) + )) + .into()); + } + } + } + Ok(()) +} + +fn srid_text(srid: Option) -> String { + srid.map_or_else(|| "none".to_string(), |code| format!("SRID {code}")) +} + +fn window_text(window: &BlockWindow) -> String { + format!( + "{}x{} at ({}, {})", + window.width, window.height, window.col_off, window.row_off + ) +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_raster::{CrsRef, RasterBlock, SampleType}; + + /// A reader of one `width x height` image in `tile`-sized blocks. + struct Grid { + header: RasterHeader, + tile: u32, + } + + impl RasterReader for Grid { + fn header(&self) -> &RasterHeader { + &self.header + } + + fn block_count(&self) -> u32 { + self.header.width.div_ceil(self.tile) * self.header.height.div_ceil(self.tile) + } + + fn block_window(&self, index: u32) -> Result { + let across = self.header.width.div_ceil(self.tile); + let (col_off, row_off) = ((index % across) * self.tile, (index / across) * self.tile); + Ok(BlockWindow { + outer: Vec::new(), + col_off, + row_off, + width: self.tile.min(self.header.width - col_off), + height: self.tile.min(self.header.height - row_off), + }) + } + + fn block_ranges(&self, _: u32) -> Result, RasterError> { + Ok(Vec::new()) + } + + fn decode_block( + &self, + index: u32, + _: &[Option<&[u8]>], + ) -> Result { + Err(RasterError::BlockOutOfRange { index, count: 0 }) + } + } + + fn grid(width: u32, tile: u32) -> Grid { + Grid { + header: RasterHeader { + width, + height: 64, + outer: Vec::new(), + bands: vec![BandInfo::plain(SampleType::U16)], + transform: Some(GeoTransform([0.0, 1.0, 0.0, 0.0, 0.0, -1.0])), + crs: CrsRef::Epsg(4326), + }, + tile, + } + } + + fn headers(readers: &[Grid]) -> Vec { + readers + .iter() + .enumerate() + .map(|(i, r)| SourceHeader::new(format!("/b{i}.tif"), &r.header, Some(4326))) + .collect() + } + + #[test] + fn sources_of_one_grid_and_tiling_pass() { + let readers = [grid(128, 32), grid(128, 32)]; + assert!(check_same_layout(&headers(&readers), &readers).is_ok()); + } + + #[test] + fn a_mismatched_grid_or_tiling_names_the_source() { + for readers in [ + [grid(128, 32), grid(96, 32)], + [grid(128, 32), grid(128, 64)], + ] { + let Err(LayoutError::Mismatch(err)) = check_same_layout(&headers(&readers), &readers) + else { + panic!("refused"); + }; + assert_eq!(err.sqlstate(), "22023"); + assert!(err.to_string().contains("/b1.tif"), "{err}"); + } + } +} diff --git a/nodedb-raster-load/src/view/mod.rs b/nodedb-raster-load/src/view/mod.rs new file mode 100644 index 000000000..51ec7d0a3 --- /dev/null +++ b/nodedb-raster-load/src/view/mod.rs @@ -0,0 +1,13 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The array a load writes into, and the rows and metadata it produces, as +//! plain types. The server converts its catalog view into these and the +//! results back, so the crate holds no SQL types. + +pub mod row; +pub mod schema; + +pub use row::{AdoptedMeta, AttrLiteral, CoordLiteral, LoadRow}; +pub use schema::{ + ArrayView, AttrMeta, AttrType, DimType, DomainBound, ViewAttr, ViewDim, ViewGeoref, +}; diff --git a/nodedb-raster-load/src/view/row.rs b/nodedb-raster-load/src/view/row.rs new file mode 100644 index 000000000..17026d4e9 --- /dev/null +++ b/nodedb-raster-load/src/view/row.rs @@ -0,0 +1,36 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! What a load produces: one row per kept pixel, and the attr metadata +//! `ADOPT_METADATA` takes from the files. + +use super::schema::AttrMeta; + +/// One coordinate of a row. A raster yields integer and float coordinates +/// only. +#[derive(Debug, Clone, PartialEq)] +pub enum CoordLiteral { + Int64(i64), + Float64(f64), +} + +/// One attr value of a row. +#[derive(Debug, Clone, PartialEq)] +pub enum AttrLiteral { + Int64(i64), + Float64(f64), + Null, +} + +/// One row: a coordinate per dim and a value per attr, in schema order. +#[derive(Debug, Clone, PartialEq)] +pub struct LoadRow { + pub coords: Vec, + pub attrs: Vec, +} + +/// The metadata adoption sets on one attr. +#[derive(Debug, Clone, PartialEq)] +pub struct AdoptedMeta { + pub attr: String, + pub meta: AttrMeta, +} diff --git a/nodedb-raster-load/src/view/schema.rs b/nodedb-raster-load/src/view/schema.rs new file mode 100644 index 000000000..a332b1c0a --- /dev/null +++ b/nodedb-raster-load/src/view/schema.rs @@ -0,0 +1,123 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The dims, attrs and georef of the array a load writes into. + +use nodedb_raster::GeoTransform; + +/// The array a load plans against. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayView { + pub name: String, + /// Dims in schema order. + pub dims: Vec, + /// Attrs in schema order. + pub attrs: Vec, + /// The georef, axes named by dim. `None` when the array has none. + pub georef: Option, +} + +/// One dim and its domain. +#[derive(Debug, Clone, PartialEq)] +pub struct ViewDim { + pub name: String, + pub dtype: DimType, + pub lo: DomainBound, + pub hi: DomainBound, +} + +/// The type of a dim. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum DimType { + Int64, + Float64, + TimestampMs, + String, +} + +/// A domain bound, tagged with its dim's type. +#[derive(Debug, Clone, PartialEq)] +pub enum DomainBound { + Int64(i64), + Float64(f64), + TimestampMs(i64), + String(String), +} + +/// One attr. +#[derive(Debug, Clone, PartialEq)] +pub struct ViewAttr { + pub name: String, + pub dtype: AttrType, + pub nullable: bool, + pub meta: AttrMeta, +} + +/// The type of an attr. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum AttrType { + Int8, + UInt8, + Int16, + UInt16, + Int32, + UInt32, + Int64, + Float32, + Float64, + String, + Bytes, +} + +impl AttrType { + /// Whether the type holds floats. + pub fn is_float(self) -> bool { + match self { + AttrType::Float32 | AttrType::Float64 => true, + AttrType::Int8 + | AttrType::UInt8 + | AttrType::Int16 + | AttrType::UInt16 + | AttrType::Int32 + | AttrType::UInt32 + | AttrType::Int64 + | AttrType::String + | AttrType::Bytes => false, + } + } + + /// The DDL name of the type. + pub fn sql_name(self) -> &'static str { + match self { + AttrType::Int8 => "INT8", + AttrType::UInt8 => "UINT8", + AttrType::Int16 => "INT16", + AttrType::UInt16 => "UINT16", + AttrType::Int32 => "INT32", + AttrType::UInt32 => "UINT32", + AttrType::Int64 => "INT64", + AttrType::Float32 => "FLOAT32", + AttrType::Float64 => "FLOAT64", + AttrType::String => "STRING", + AttrType::Bytes => "BYTES", + } + } +} + +/// The metadata of an attr. +#[derive(Debug, Clone, Default, PartialEq)] +pub struct AttrMeta { + pub nodata: Option, + pub scale: Option, + pub offset: Option, + pub units: Option, +} + +/// The georef of an array: the SRID, the dims of the x and y axes, and the +/// transform of a pixel-mode array. `None` is a world-mode array. +#[derive(Debug, Clone, PartialEq)] +pub struct ViewGeoref { + pub srid: u32, + pub x_dim: String, + pub y_dim: String, + pub transform: Option, +} diff --git a/nodedb-raster-load/src/window.rs b/nodedb-raster-load/src/window.rs new file mode 100644 index 000000000..741c40dda --- /dev/null +++ b/nodedb-raster-load/src/window.rs @@ -0,0 +1,121 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The pixel window a load reads: the whole image, or `WINDOW (...)`. + +use nodedb_raster::BlockWindow; + +use crate::error::RasterLoadError; + +/// The half-open pixel window `cols x rows` of an image. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct PixelWindow { + pub col0: u32, + pub row0: u32, + /// One past the last column. + pub col1: u32, + /// One past the last row. + pub row1: u32, +} + +impl PixelWindow { + /// The whole `width x height` image. + pub const fn whole(width: u32, height: u32) -> Self { + Self { + col0: 0, + row0: 0, + col1: width, + row1: height, + } + } + + /// The requested `window` of a `width x height` image, or the whole + /// image when no window is given. An empty window or one past the image + /// is refused (`22023`). + pub fn of( + window: Option, + width: u32, + height: u32, + ) -> Result { + let Some(w) = window else { + return Ok(Self::whole(width, height)); + }; + if w.col0 >= w.col1 || w.row0 >= w.row1 || w.col1 > width || w.row1 > height { + return Err(RasterLoadError::WindowOutside { + x0: w.col0, + y0: w.row0, + x1: w.col1, + y1: w.row1, + width, + height, + }); + } + Ok(w) + } + + /// Whether pixel `(col, row)` lies inside. + pub fn contains(&self, col: u32, row: u32) -> bool { + (self.col0..self.col1).contains(&col) && (self.row0..self.row1).contains(&row) + } + + /// Whether `block` holds any pixel of the window. + pub fn overlaps(&self, block: &BlockWindow) -> bool { + let block_col1 = block.col_off.saturating_add(block.width); + let block_row1 = block.row_off.saturating_add(block.height); + block.width > 0 + && block.height > 0 + && block.col_off < self.col1 + && self.col0 < block_col1 + && block.row_off < self.row1 + && self.row0 < block_row1 + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn block(col_off: u32, row_off: u32, width: u32, height: u32) -> BlockWindow { + BlockWindow { + outer: Vec::new(), + col_off, + row_off, + width, + height, + } + } + + #[test] + fn a_window_selects_the_blocks_it_touches() { + let w = PixelWindow::of( + Some(PixelWindow { + col0: 300, + row0: 0, + col1: 600, + row1: 256, + }), + 1024, + 1024, + ) + .expect("inside"); + assert!(!w.overlaps(&block(0, 0, 256, 256))); + assert!(w.overlaps(&block(256, 0, 256, 256))); + assert!(w.overlaps(&block(512, 0, 256, 256))); + assert!(!w.overlaps(&block(768, 0, 256, 256))); + assert!(!w.overlaps(&block(256, 256, 256, 256))); + assert!(w.contains(300, 255)); + assert!(!w.contains(600, 0)); + } + + #[test] + fn a_window_past_the_image_is_refused() { + let past = PixelWindow { + col0: 0, + row0: 0, + col1: 1025, + row1: 10, + }; + let err = PixelWindow::of(Some(past), 1024, 1024).expect_err("past the edge"); + assert_eq!(err.sqlstate(), "22023"); + assert_eq!(PixelWindow::of(None, 4, 3), Ok(PixelWindow::whole(4, 3))); + } +} diff --git a/nodedb-raster/Cargo.toml b/nodedb-raster/Cargo.toml index f4d530380..c9dd53868 100644 --- a/nodedb-raster/Cargo.toml +++ b/nodedb-raster/Cargo.toml @@ -1,6 +1,6 @@ [package] name = "nodedb-raster" -description = "Bounded GeoTIFF decoding for NodeDB array bulk loads" +description = "Sans-IO raster decoding (GeoTIFF/COG) for NodeDB array bulk loads" version.workspace = true edition.workspace = true rust-version.workspace = true @@ -9,10 +9,19 @@ authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] repository.workspace = true homepage.workspace = true documentation = "https://docs.rs/nodedb-raster" -keywords = ["geotiff", "raster", "tiff", "geospatial"] +keywords = ["geotiff", "raster", "tiff", "cog", "geospatial"] categories = ["science::geo", "parser-implementations"] [dependencies] nodedb-types = { workspace = true } +nodedb-crs = { workspace = true } thiserror = { workspace = true } +flate2 = { workspace = true } +weezl = { workspace = true } +ruzstd = { workspace = true } +zune-jpeg = { workspace = true } +lerc-rs = { workspace = true } + +[dev-dependencies] +# Builds in-test TIFF fixtures with an independent encoder. tiff = { workspace = true } diff --git a/nodedb-raster/src/block.rs b/nodedb-raster/src/block.rs index d941f6ace..f2b733d12 100644 --- a/nodedb-raster/src/block.rs +++ b/nodedb-raster/src/block.rs @@ -2,22 +2,18 @@ //! Decoded blocks: one typed, row-major sample vector per band. -use std::mem::size_of; - -use nodedb_types::decode_bounds::checked_decode_capacity; -use tiff::decoder::DecodingResult; - -use crate::error::RasterError; use crate::layout::BlockWindow; -use crate::sample::{SampleFormatCode, SampleType}; +use crate::sample::SampleType; /// One band's samples for one block, row-major, `width * height` long. #[derive(Debug, Clone, PartialEq)] pub enum BandSamples { U8(Vec), + I8(Vec), U16(Vec), I16(Vec), U32(Vec), + I32(Vec), F32(Vec), F64(Vec), } @@ -27,9 +23,11 @@ impl BandSamples { pub fn len(&self) -> usize { match self { BandSamples::U8(v) => v.len(), + BandSamples::I8(v) => v.len(), BandSamples::U16(v) => v.len(), BandSamples::I16(v) => v.len(), BandSamples::U32(v) => v.len(), + BandSamples::I32(v) => v.len(), BandSamples::F32(v) => v.len(), BandSamples::F64(v) => v.len(), } @@ -44,9 +42,11 @@ impl BandSamples { pub fn sample_type(&self) -> SampleType { match self { BandSamples::U8(_) => SampleType::U8, + BandSamples::I8(_) => SampleType::I8, BandSamples::U16(_) => SampleType::U16, BandSamples::I16(_) => SampleType::I16, BandSamples::U32(_) => SampleType::U32, + BandSamples::I32(_) => SampleType::I32, BandSamples::F32(_) => SampleType::F32, BandSamples::F64(_) => SampleType::F64, } @@ -57,135 +57,43 @@ impl BandSamples { pub fn value_f64(&self, index: usize) -> Option { match self { BandSamples::U8(v) => v.get(index).map(|s| f64::from(*s)), + BandSamples::I8(v) => v.get(index).map(|s| f64::from(*s)), BandSamples::U16(v) => v.get(index).map(|s| f64::from(*s)), BandSamples::I16(v) => v.get(index).map(|s| f64::from(*s)), BandSamples::U32(v) => v.get(index).map(|s| f64::from(*s)), + BandSamples::I32(v) => v.get(index).map(|s| f64::from(*s)), BandSamples::F32(v) => v.get(index).map(|s| f64::from(*s)), BandSamples::F64(v) => v.get(index).copied(), } } } -/// One decoded block: its window and one sample vector per band. +/// One decoded block: its window, one sample vector per band, and one +/// validity mask per band. #[derive(Debug, Clone, PartialEq)] pub struct RasterBlock { pub index: u32, pub window: BlockWindow, pub bands: Vec, + /// One mask per band, in band order: one flag per window pixel, + /// row-major. `false` marks a sample that holds no data: masked by an + /// internal mask (every band), invalid in the band's LERC mask, or inside + /// a block the file omits. `None` when every pixel of the band is valid. + pub masks: Vec>>, } -/// What a decoded chunk must hold. -#[derive(Debug, Clone, Copy)] -pub(crate) struct ChunkShape { - pub index: u32, - pub pixels: usize, - pub bands: usize, - pub limit_bytes: usize, -} - -/// Split a chunky chunk, `bands` samples per pixel, into one vector per -/// band. -pub(crate) fn chunky_bands( - result: DecodingResult, - shape: ChunkShape, -) -> Result, RasterError> { - match result { - DecodingResult::U8(v) => deinterleave(v, shape, BandSamples::U8), - DecodingResult::U16(v) => deinterleave(v, shape, BandSamples::U16), - DecodingResult::I16(v) => deinterleave(v, shape, BandSamples::I16), - DecodingResult::U32(v) => deinterleave(v, shape, BandSamples::U32), - DecodingResult::F32(v) => deinterleave(v, shape, BandSamples::F32), - DecodingResult::F64(v) => deinterleave(v, shape, BandSamples::F64), - other => Err(unsupported(&other)), - } -} - -/// Crop a planar chunk to the block's pixels. A plane's rows are packed at -/// the block width, so the first `pixels` samples are the block. -pub(crate) fn planar_band( - result: DecodingResult, - shape: ChunkShape, -) -> Result { - match result { - DecodingResult::U8(v) => crop(v, shape).map(BandSamples::U8), - DecodingResult::U16(v) => crop(v, shape).map(BandSamples::U16), - DecodingResult::I16(v) => crop(v, shape).map(BandSamples::I16), - DecodingResult::U32(v) => crop(v, shape).map(BandSamples::U32), - DecodingResult::F32(v) => crop(v, shape).map(BandSamples::F32), - DecodingResult::F64(v) => crop(v, shape).map(BandSamples::F64), - other => Err(unsupported(&other)), - } -} - -fn crop(mut samples: Vec, shape: ChunkShape) -> Result, RasterError> { - if samples.len() < shape.pixels { - return Err(RasterError::ShortBlock { - index: shape.index, - found: samples.len(), - expected: shape.pixels, - }); - } - samples.truncate(shape.pixels); - Ok(samples) -} - -fn deinterleave( - samples: Vec, - shape: ChunkShape, - wrap: fn(Vec) -> BandSamples, -) -> Result, RasterError> { - let needed = shape.pixels.saturating_mul(shape.bands); - if samples.len() < needed { - return Err(RasterError::ShortBlock { - index: shape.index, - found: samples.len(), - expected: needed, - }); - } - if shape.bands == 1 { - return crop(samples, shape).map(|band| vec![wrap(band)]); +impl RasterBlock { + /// Whether band `band` holds data at pixel `index` of the window. + pub fn band_valid(&self, band: usize, index: usize) -> bool { + match self.masks.get(band) { + Some(Some(mask)) => mask.get(index).copied().unwrap_or(false), + Some(None) | None => index < self.window.pixels(), + } } - let capacity = checked_decode_capacity( - shape.pixels, - size_of::(), - samples.len(), - shape.bands, - usize::MAX, - shape.limit_bytes, - ) - .ok_or(RasterError::BlockTooLarge { - needed_bytes: (needed as u64).saturating_mul(size_of::() as u64), - limit_bytes: shape.limit_bytes, - })?; - let bands = (0..shape.bands) - .map(|band| { - let mut out = Vec::with_capacity(capacity); - let interleaved = samples.get(band..needed).unwrap_or_default(); - out.extend(interleaved.iter().step_by(shape.bands).copied()); - wrap(out) - }) - .collect(); - Ok(bands) -} -/// The typed error for a sample type the open-time check refuses. -fn unsupported(result: &DecodingResult) -> RasterError { - let (format, bits) = match result { - DecodingResult::I8(_) => (2, 8), - DecodingResult::I32(_) => (2, 32), - DecodingResult::I64(_) => (2, 64), - DecodingResult::U64(_) => (1, 64), - DecodingResult::F16(_) => (3, 16), - DecodingResult::U8(_) => (1, 8), - DecodingResult::U16(_) => (1, 16), - DecodingResult::I16(_) => (2, 16), - DecodingResult::U32(_) => (1, 32), - DecodingResult::F32(_) => (3, 32), - DecodingResult::F64(_) => (3, 64), - }; - RasterError::UnsupportedSampleType { - format: SampleFormatCode(format), - bits, + /// Whether any band holds data at pixel `index` of the window. + pub fn any_valid(&self, index: usize) -> bool { + (0..self.bands.len()).any(|band| self.band_valid(band, index)) } } @@ -193,83 +101,6 @@ fn unsupported(result: &DecodingResult) -> RasterError { mod tests { use super::*; - fn shape(pixels: usize, bands: usize) -> ChunkShape { - ChunkShape { - index: 0, - pixels, - bands, - limit_bytes: 1 << 20, - } - } - - #[test] - fn chunky_samples_split_per_band() { - let result = DecodingResult::U16(vec![1, 10, 100, 2, 20, 200]); - let bands = chunky_bands(result, shape(2, 3)).expect("splits"); - assert_eq!( - bands, - vec![ - BandSamples::U16(vec![1, 2]), - BandSamples::U16(vec![10, 20]), - BandSamples::U16(vec![100, 200]), - ] - ); - } - - #[test] - fn single_band_keeps_its_buffer() { - let result = DecodingResult::F32(vec![1.5, 2.5, 9.0]); - let bands = chunky_bands(result, shape(2, 1)).expect("splits"); - assert_eq!(bands, vec![BandSamples::F32(vec![1.5, 2.5])]); - } - - #[test] - fn planar_plane_is_cropped_to_the_block() { - let result = DecodingResult::I16(vec![-1, -2, -3, -4, 0, 0]); - let band = planar_band(result, shape(4, 1)).expect("crops"); - assert_eq!(band, BandSamples::I16(vec![-1, -2, -3, -4])); - } - - #[test] - fn short_chunks_are_typed_errors() { - assert!(matches!( - chunky_bands(DecodingResult::U8(vec![1, 2, 3]), shape(2, 2)), - Err(RasterError::ShortBlock { - found: 3, - expected: 4, - .. - }) - )); - assert!(matches!( - planar_band(DecodingResult::U8(vec![1]), shape(2, 1)), - Err(RasterError::ShortBlock { .. }) - )); - } - - #[test] - fn deinterleave_respects_the_byte_cap() { - let tight = ChunkShape { - limit_bytes: 3, - ..shape(2, 2) - }; - assert!(matches!( - chunky_bands(DecodingResult::U16(vec![1, 2, 3, 4]), tight), - Err(RasterError::BlockTooLarge { .. }) - )); - } - - #[test] - fn unsupported_variants_are_typed_errors() { - assert!(matches!( - chunky_bands(DecodingResult::I8(vec![1]), shape(1, 1)), - Err(RasterError::UnsupportedSampleType { bits: 8, .. }) - )); - assert!(matches!( - planar_band(DecodingResult::U64(vec![1]), shape(1, 1)), - Err(RasterError::UnsupportedSampleType { bits: 64, .. }) - )); - } - #[test] fn values_widen_to_f64() { let band = BandSamples::I16(vec![-7, 3]); @@ -277,5 +108,32 @@ mod tests { assert_eq!(band.value_f64(2), None); assert_eq!(band.sample_type(), SampleType::I16); assert_eq!(band.len(), 2); + let wide = BandSamples::I32(vec![i32::MIN]); + assert_eq!(wide.value_f64(0), Some(f64::from(i32::MIN))); + } + + #[test] + fn masks_mark_validity_per_band() { + let window = BlockWindow { + outer: Vec::new(), + col_off: 0, + row_off: 0, + width: 2, + height: 1, + }; + let mut block = RasterBlock { + index: 0, + window, + bands: vec![BandSamples::U8(vec![1, 2]), BandSamples::U8(vec![3, 4])], + masks: vec![None, None], + }; + assert!(block.band_valid(0, 0) && block.band_valid(1, 1)); + assert!(!block.band_valid(0, 2)); + block.masks = vec![Some(vec![true, false]), Some(vec![false, false])]; + assert!(block.band_valid(0, 0)); + assert!(!block.band_valid(0, 1)); + assert!(!block.band_valid(1, 0)); + assert!(block.any_valid(0)); + assert!(!block.any_valid(1)); } } diff --git a/nodedb-raster/src/codec/compression.rs b/nodedb-raster/src/codec/compression.rs new file mode 100644 index 000000000..6e2621173 --- /dev/null +++ b/nodedb-raster/src/codec/compression.rs @@ -0,0 +1,172 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The TIFF compression methods the reader decodes. + +use crate::codec::error::CodecError; +use crate::codec::{deflate, lzw, packbits, zstd}; +use crate::error::RasterError; + +/// TIFF `Compression` codes. +pub const CODE_NONE: u16 = 1; +pub const CODE_LZW: u16 = 5; +pub const CODE_JPEG: u16 = 7; +pub const CODE_DEFLATE: u16 = 8; +pub const CODE_PACKBITS: u16 = 32773; +pub const CODE_DEFLATE_PKZIP: u16 = 32946; +pub const CODE_LERC: u16 = 34887; +pub const CODE_ZSTD: u16 = 50000; + +/// A byte-stream codec: the chunk decodes to its raw sample bytes. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum StreamCodec { + None, + Lzw, + Deflate, + PackBits, + Zstd, +} + +impl StreamCodec { + /// Decode `data` into exactly `expected` bytes. Output past + /// `expected` is ignored. Fewer bytes are [`CodecError::Short`]. + pub fn decompress(self, data: &[u8], expected: usize) -> Result, CodecError> { + match self { + StreamCodec::None => { + let raw = data.get(..expected).ok_or(CodecError::Short { + expected, + found: data.len(), + })?; + Ok(raw.to_vec()) + } + StreamCodec::Lzw => lzw::decode(data, expected), + StreamCodec::Deflate => deflate::inflate(data, expected), + StreamCodec::PackBits => packbits::unpack(data, expected), + StreamCodec::Zstd => zstd::decode(data, expected), + } + } + + /// Decode `data`, a stream of unknown decoded size, into at most `max` + /// bytes. More is [`CodecError::Long`]. + pub fn decompress_bounded(self, data: &[u8], max: usize) -> Result, CodecError> { + match self { + StreamCodec::None if data.len() <= max => Ok(data.to_vec()), + StreamCodec::None => Err(CodecError::Long { expected: max }), + StreamCodec::Deflate => deflate::inflate_bounded(data, max), + StreamCodec::Zstd => zstd::decode_bounded(data, max), + StreamCodec::Lzw => lzw::decode_bounded(data, max), + StreamCodec::PackBits => packbits::unpack_bounded(data, max), + } + } +} + +/// The byte-stream wrapper around a LERC blob (`LercParameters` value 2). +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum LercWrap { + None, + Deflate, + Zstd, +} + +impl LercWrap { + /// The wrapper of `LercParameters` additional-compression code `code`. + pub fn from_code(code: u64) -> Option { + match code { + 0 => Some(LercWrap::None), + 1 => Some(LercWrap::Deflate), + 2 => Some(LercWrap::Zstd), + _ => None, + } + } + + /// The stream codec that unwraps the blob, if any. + pub const fn stream(self) -> Option { + match self { + LercWrap::None => None, + LercWrap::Deflate => Some(StreamCodec::Deflate), + LercWrap::Zstd => Some(StreamCodec::Zstd), + } + } +} + +/// How a chunk is compressed. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum Compression { + Stream(StreamCodec), + Jpeg, + Lerc(LercWrap), +} + +impl Compression { + /// The method of TIFF compression code `code`. `lerc` is the LERC + /// wrapper from `LercParameters`. + pub fn from_code(code: u16, lerc: LercWrap) -> Result { + match code { + CODE_NONE => Ok(Compression::Stream(StreamCodec::None)), + CODE_LZW => Ok(Compression::Stream(StreamCodec::Lzw)), + CODE_JPEG => Ok(Compression::Jpeg), + CODE_DEFLATE | CODE_DEFLATE_PKZIP => Ok(Compression::Stream(StreamCodec::Deflate)), + CODE_PACKBITS => Ok(Compression::Stream(StreamCodec::PackBits)), + CODE_LERC => Ok(Compression::Lerc(lerc)), + CODE_ZSTD => Ok(Compression::Stream(StreamCodec::Zstd)), + code => Err(RasterError::UnsupportedCompression { code }), + } + } + + /// Whether libtiff applies the `Predictor` tag under this method: LZW, + /// deflate and ZSTD only. + pub const fn takes_predictor(self) -> bool { + matches!( + self, + Compression::Stream(StreamCodec::Lzw | StreamCodec::Deflate | StreamCodec::Zstd) + ) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn every_supported_code_maps() { + for code in [1, 5, 7, 8, 32773, 32946, 34887, 50000] { + assert!( + Compression::from_code(code, LercWrap::None).is_ok(), + "{code}" + ); + } + for code in [2, 3, 4, 6, 34925, 50001, 34712] { + assert!(matches!( + Compression::from_code(code, LercWrap::None), + Err(RasterError::UnsupportedCompression { code: c }) if c == code + )); + } + } + + #[test] + fn predictor_applies_to_lzw_deflate_and_zstd_only() { + let takes = |code| { + Compression::from_code(code, LercWrap::None) + .map(Compression::takes_predictor) + .ok() + }; + assert_eq!(takes(5), Some(true)); + assert_eq!(takes(8), Some(true)); + assert_eq!(takes(50000), Some(true)); + assert_eq!(takes(1), Some(false)); + assert_eq!(takes(32773), Some(false)); + assert_eq!(takes(34887), Some(false)); + } + + #[test] + fn raw_chunks_need_the_whole_chunk() { + let codec = StreamCodec::None; + assert_eq!(codec.decompress(&[1, 2, 3], 2).ok(), Some(vec![1, 2])); + assert!(matches!( + codec.decompress(&[1], 2), + Err(CodecError::Short { + expected: 2, + found: 1 + }) + )); + } +} diff --git a/nodedb-raster/src/codec/deflate.rs b/nodedb-raster/src/codec/deflate.rs new file mode 100644 index 000000000..14c428a4c --- /dev/null +++ b/nodedb-raster/src/codec/deflate.rs @@ -0,0 +1,128 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Deflate (codes 8 and 32946): a zlib stream. + +use flate2::{Decompress, FlushDecompress, Status}; + +use crate::codec::error::CodecError; + +/// Inflate the zlib stream `data` into exactly `expected` bytes. +pub fn inflate(data: &[u8], expected: usize) -> Result, CodecError> { + let mut out = vec![0u8; expected]; + let mut stream = Decompress::new(true); + let mut filled = 0usize; + loop { + let consumed = usize::try_from(stream.total_in()).unwrap_or(data.len()); + let input = data.get(consumed..).unwrap_or_default(); + let output = out.get_mut(filled..).unwrap_or_default(); + let (in_before, out_before) = (stream.total_in(), stream.total_out()); + let status = stream + .decompress(input, output, FlushDecompress::Finish) + .map_err(CodecError::Deflate)?; + filled = usize::try_from(stream.total_out()).unwrap_or(expected); + let stalled = stream.total_in() == in_before && stream.total_out() == out_before; + match status { + Status::StreamEnd => break, + Status::Ok | Status::BufError if filled >= expected || stalled => break, + Status::Ok | Status::BufError => {} + } + } + if filled < expected { + return Err(CodecError::Short { + expected, + found: filled, + }); + } + Ok(out) +} + +/// Bytes the bounded inflate grows its output by per step. +const GROW: usize = 64 * 1024; + +/// Inflate the zlib stream `data`, of unknown decoded size, into at most +/// `max` bytes. +pub fn inflate_bounded(data: &[u8], max: usize) -> Result, CodecError> { + let mut out: Vec = Vec::new(); + let mut stream = Decompress::new(true); + loop { + // One byte past `max` stays reservable, so a stream that ends at + // exactly `max` can still report its end. + if out.len() == out.capacity() { + if out.len() > max { + return Err(CodecError::Long { expected: max }); + } + out.reserve_exact(GROW.min(max + 1 - out.len())); + } + let consumed = usize::try_from(stream.total_in()).unwrap_or(data.len()); + let input = data.get(consumed..).unwrap_or_default(); + let (in_before, out_before) = (stream.total_in(), stream.total_out()); + let status = stream + .decompress_vec(input, &mut out, FlushDecompress::None) + .map_err(CodecError::Deflate)?; + if status == Status::StreamEnd { + if out.len() > max { + return Err(CodecError::Long { expected: max }); + } + return Ok(out); + } + let stalled = stream.total_in() == in_before && stream.total_out() == out_before; + if stalled && out.len() < out.capacity() { + return Err(CodecError::Truncated { found: out.len() }); + } + } +} + +#[cfg(test)] +mod tests { + use std::io::Write; + + use flate2::write::ZlibEncoder; + + use super::*; + + fn zlib(raw: &[u8]) -> Vec { + let mut encoder = ZlibEncoder::new(Vec::new(), flate2::Compression::default()); + encoder.write_all(raw).expect("writes"); + encoder.finish().expect("finishes") + } + + #[test] + fn a_zlib_stream_inflates_to_the_chunk() { + let raw: Vec = (0..5000u32).map(|i| (i % 251) as u8).collect(); + assert_eq!(inflate(&zlib(&raw), raw.len()).ok(), Some(raw.clone())); + assert_eq!(inflate(&zlib(&raw), 10).ok(), Some(raw[..10].to_vec())); + } + + #[test] + fn bounded_inflate_stops_at_the_cap() { + let raw: Vec = (0..200_000u32).map(|i| (i % 13) as u8).collect(); + let stream = zlib(&raw); + assert_eq!(inflate_bounded(&stream, raw.len()).ok(), Some(raw.clone())); + assert!(matches!( + inflate_bounded(&stream, 1000), + Err(CodecError::Long { expected: 1000 }) + )); + assert!(matches!( + inflate_bounded(&stream[..stream.len() / 2], raw.len()), + Err(CodecError::Truncated { .. } | CodecError::Deflate(_)) + )); + } + + #[test] + fn short_and_corrupt_streams_are_typed_errors() { + let raw = vec![9u8; 100]; + assert!(matches!( + inflate(&zlib(&raw), 200), + Err(CodecError::Short { + expected: 200, + found: 100 + }) + )); + let stream = zlib(&raw); + assert!(inflate(&stream[..stream.len() / 2], 100).is_err()); + assert!(matches!( + inflate(b"not zlib at all", 10), + Err(CodecError::Deflate(_)) + )); + } +} diff --git a/nodedb-raster/src/codec/error.rs b/nodedb-raster/src/codec/error.rs new file mode 100644 index 000000000..f6e379ea0 --- /dev/null +++ b/nodedb-raster/src/codec/error.rs @@ -0,0 +1,79 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Typed errors of the chunk codecs. + +use crate::limits::CapacityExceeded; + +/// Every way a compressed chunk can fail to decode. +#[derive(Debug, thiserror::Error)] +pub enum CodecError { + #[error("LZW: {0}")] + Lzw(#[source] weezl::LzwError), + + #[error("deflate: {0}")] + Deflate(#[source] flate2::DecompressError), + + #[error("ZSTD: {0}")] + Zstd(#[source] ruzstd::decoding::errors::FrameDecoderError), + + #[error("JPEG: {0}")] + Jpeg(#[source] zune_jpeg::errors::DecodeErrors), + + #[error("LERC: {0}")] + Lerc(#[source] lerc::LercError), + + /// A Lerc2 blob header or checksum is invalid. + #[error("LERC blob at byte {offset}: {reason}")] + LercBlob { offset: usize, reason: &'static str }, + + /// A PackBits run reads or writes past the end of its chunk. + #[error("PackBits run at byte {offset} overruns the chunk")] + PackBitsOverrun { offset: usize }, + + /// The chunk asks for a decode allocation over the ceiling. + #[error(transparent)] + Capacity(#[from] CapacityExceeded), + + /// The stream ended before the chunk was whole. + #[error("the stream decodes to {found} bytes, expected {expected}")] + Short { expected: usize, found: usize }, + + /// The stream holds more data than the chunk. + #[error("the stream decodes to more than the {expected}-byte chunk")] + Long { expected: usize }, + + /// The stream ends before its end marker. + #[error("the stream ends before its end marker, after {found} decoded bytes")] + Truncated { found: usize }, + + /// The JPEG frame does not match the chunk. + #[error( + "JPEG frame is {width}x{height} with {components} components; the chunk is \ + {expected_width}x{expected_height} with {expected_components}" + )] + JpegShape { + width: u32, + height: u32, + components: usize, + expected_width: u32, + expected_height: u32, + expected_components: usize, + }, + + /// The LERC blob does not match the chunk. + #[error( + "LERC blob is {width}x{height}, depth {depth}, {bands} bands of {data_type}; the chunk \ + is {expected_width}x{expected_height}, depth {expected_depth} of {expected_type}" + )] + LercShape { + width: u32, + height: u32, + depth: u32, + bands: u32, + data_type: &'static str, + expected_width: u32, + expected_height: u32, + expected_depth: u32, + expected_type: &'static str, + }, +} diff --git a/nodedb-raster/src/codec/jpeg.rs b/nodedb-raster/src/codec/jpeg.rs new file mode 100644 index 000000000..6996ca35c --- /dev/null +++ b/nodedb-raster/src/codec/jpeg.rs @@ -0,0 +1,123 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! JPEG (code 7): one baseline or progressive JPEG stream per chunk. +//! +//! A TIFF can keep the quantisation and Huffman tables of every chunk in +//! one `JPEGTables` stream. Its tables are spliced in front of the chunk's +//! own markers. A three-component YCbCr stream decodes to RGB. + +use zune_jpeg::JpegDecoder; +use zune_jpeg::zune_core::bytestream::ZCursor; +use zune_jpeg::zune_core::colorspace::ColorSpace; +use zune_jpeg::zune_core::options::DecoderOptions; + +use crate::codec::error::CodecError; + +/// The `SOI` marker that opens a JPEG stream. +const SOI: [u8; 2] = [0xFF, 0xD8]; +/// The `EOI` marker that closes a JPEG stream. +const EOI: [u8; 2] = [0xFF, 0xD9]; + +/// One JPEG chunk and the frame it must decode to. +#[derive(Debug, Clone, Copy)] +pub struct JpegChunk<'a> { + pub data: &'a [u8], + /// The `JPEGTables` stream, when the file has one. + pub tables: Option<&'a [u8]>, + pub width: u32, + pub height: u32, + /// 1 (gray) or 3 (RGB, or YCbCr decoded to RGB). + pub components: usize, +} + +/// Decode `chunk` to pixel-interleaved 8-bit samples. +pub fn decode(chunk: JpegChunk<'_>) -> Result, CodecError> { + let shape_error = |width, height, components| CodecError::JpegShape { + width, + height, + components, + expected_width: chunk.width, + expected_height: chunk.height, + expected_components: chunk.components, + }; + let out_space = match chunk.components { + 1 => ColorSpace::Luma, + 3 => ColorSpace::RGB, + _ => return Err(shape_error(0, 0, 0)), + }; + let stream = splice_tables(chunk.tables, chunk.data); + let options = DecoderOptions::default() + .set_max_width(chunk.width as usize) + .set_max_height(chunk.height as usize) + .jpeg_set_out_colorspace(out_space); + let mut decoder = JpegDecoder::new_with_options(ZCursor::new(stream.as_slice()), options); + decoder.decode_headers().map_err(CodecError::Jpeg)?; + let Some(info) = decoder.info() else { + return Err(shape_error(0, 0, 0)); + }; + let (width, height) = (u32::from(info.width), u32::from(info.height)); + let components = usize::from(info.components); + if width != chunk.width || height != chunk.height || components != chunk.components { + return Err(shape_error(width, height, components)); + } + let len = (width as usize) + .checked_mul(height as usize) + .and_then(|pixels| pixels.checked_mul(components)) + .ok_or(shape_error(width, height, components))?; + let mut out = vec![0u8; len]; + decoder.decode_into(&mut out).map_err(CodecError::Jpeg)?; + Ok(out) +} + +/// The chunk stream with the tables spliced in: the tables without their +/// `EOI`, then the chunk without its `SOI`. +fn splice_tables(tables: Option<&[u8]>, data: &[u8]) -> Vec { + let Some(tables) = tables else { + return data.to_vec(); + }; + let (Some(table_body), Some(chunk_body)) = (tables.strip_suffix(&EOI), data.strip_prefix(&SOI)) + else { + return data.to_vec(); + }; + if !table_body.starts_with(&SOI) { + return data.to_vec(); + } + let mut stream = Vec::with_capacity(table_body.len() + chunk_body.len()); + stream.extend_from_slice(table_body); + stream.extend_from_slice(chunk_body); + stream +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn tables_are_spliced_between_the_markers() { + let tables = [0xFF, 0xD8, 0xFF, 0xDB, 1, 0xFF, 0xD9]; + let data = [0xFF, 0xD8, 0xFF, 0xDA, 2, 0xFF, 0xD9]; + assert_eq!( + splice_tables(Some(&tables), &data), + vec![0xFF, 0xD8, 0xFF, 0xDB, 1, 0xFF, 0xDA, 2, 0xFF, 0xD9] + ); + assert_eq!(splice_tables(None, &data), data.to_vec()); + assert_eq!(splice_tables(Some(&[1, 2]), &data), data.to_vec()); + } + + #[test] + fn garbage_and_bad_shapes_are_typed_errors() { + let chunk = JpegChunk { + data: b"not a jpeg", + tables: None, + width: 8, + height: 8, + components: 1, + }; + assert!(matches!(decode(chunk), Err(CodecError::Jpeg(_)))); + let four = JpegChunk { + components: 4, + ..chunk + }; + assert!(matches!(decode(four), Err(CodecError::JpegShape { .. }))); + } +} diff --git a/nodedb-raster/src/codec/lerc.rs b/nodedb-raster/src/codec/lerc.rs new file mode 100644 index 000000000..8d211d582 --- /dev/null +++ b/nodedb-raster/src/codec/lerc.rs @@ -0,0 +1,259 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! LERC (code 34887): an Esri LERC blob per chunk, optionally inside a +//! deflate or ZSTD stream (`LercParameters`). +//! +//! A chunky chunk is one blob of depth `samples per pixel`, or one band +//! per sample. A planar chunk is one band of depth 1. Each chunk sample +//! takes the validity mask of its blob band: a blob of depth `samples` has +//! one mask for every sample, and a multi-band blob has one per band. + +use lerc::{DataType, SampleData}; + +use crate::codec::error::CodecError; +use crate::codec::lerc_blob::check_blobs; +use crate::sample::SampleType; + +/// The chunk a LERC blob must decode to. +#[derive(Debug, Clone, Copy)] +pub struct LercChunk { + pub width: u32, + pub height: u32, + /// Samples per pixel in the chunk. + pub samples: u32, + pub sample_type: SampleType, +} + +/// A decoded LERC chunk. +#[derive(Debug)] +pub struct LercDecoded { + /// Pixel-interleaved samples, little-endian. + pub bytes: Vec, + /// One mask per chunk sample: one flag per pixel, `None` when every + /// pixel of that sample is valid. + pub masks: Vec>>, +} + +/// Decode the LERC blob `blob` into `chunk`. +pub fn decode(blob: &[u8], chunk: LercChunk) -> Result { + check_blobs(blob)?; + let info = lerc::decode_info(blob).map_err(CodecError::Lerc)?; + let shape_error = || CodecError::LercShape { + width: info.width, + height: info.height, + depth: info.depth, + bands: info.bands, + data_type: data_type_name(info.data_type), + expected_width: chunk.width, + expected_height: chunk.height, + expected_depth: chunk.samples, + expected_type: chunk.sample_type.name(), + }; + let layout_ok = (info.depth == chunk.samples && info.bands == 1) + || (info.depth == 1 && info.bands == chunk.samples); + if info.width != chunk.width + || info.height != chunk.height + || !layout_ok + || sample_type_of(info.data_type) != chunk.sample_type + { + return Err(shape_error()); + } + let image = lerc::decode(blob).map_err(CodecError::Lerc)?; + let pixels = (chunk.width as usize).saturating_mul(chunk.height as usize); + let samples = chunk.samples as usize; + let band_major = info.bands > 1; + let bytes = interleaved_bytes(&image.data, pixels, samples, band_major); + let expected = pixels + .saturating_mul(samples) + .saturating_mul(chunk.sample_type.byte_len()); + if bytes.len() != expected { + return Err(CodecError::Short { + expected, + found: bytes.len(), + }); + } + let masks = (0..samples) + .map(|sample| { + let mask = if band_major { + image + .valid_masks + .get(sample) + .or_else(|| image.valid_masks.first()) + } else { + image.valid_masks.first() + }; + mask.filter(|mask| !mask.is_all_valid()).map(|mask| { + (0..pixels) + .map(|pixel| pixel < mask.num_pixels() && mask.is_valid(pixel)) + .collect() + }) + }) + .collect(); + Ok(LercDecoded { bytes, masks }) +} + +/// The sample type of a LERC data type. +fn sample_type_of(data_type: DataType) -> SampleType { + match data_type { + DataType::Char => SampleType::I8, + DataType::Byte => SampleType::U8, + DataType::Short => SampleType::I16, + DataType::UShort => SampleType::U16, + DataType::Int => SampleType::I32, + DataType::UInt => SampleType::U32, + DataType::Float => SampleType::F32, + DataType::Double => SampleType::F64, + } +} + +fn data_type_name(data_type: DataType) -> &'static str { + sample_type_of(data_type).name() +} + +/// Little-endian bytes of `data` in pixel-interleaved order. Band-major +/// data (one band per sample) is interleaved. +fn interleaved_bytes( + data: &SampleData, + pixels: usize, + samples: usize, + band_major: bool, +) -> Vec { + match data { + SampleData::I8(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::U8(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::I16(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::U16(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::I32(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::U32(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::F32(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + SampleData::F64(v) => to_bytes(v, pixels, samples, band_major, |s| s.to_le_bytes()), + } +} + +fn to_bytes( + values: &[T], + pixels: usize, + samples: usize, + band_major: bool, + le: impl Fn(T) -> [u8; N], +) -> Vec { + let mut out = Vec::with_capacity(values.len().saturating_mul(N)); + if band_major && samples > 1 { + for pixel in 0..pixels { + for band in 0..samples { + if let Some(value) = values.get(band * pixels + pixel) { + out.extend_from_slice(&le(*value)); + } + } + } + } else { + for value in values { + out.extend_from_slice(&le(*value)); + } + } + out +} + +#[cfg(test)] +mod tests { + use lerc::bitmask::BitMask; + use lerc::{Image, Precision}; + + use super::*; + + fn blob(width: u32, height: u32, data: Vec, mask: BitMask) -> Vec { + let image = Image { + width, + height, + depth: 1, + bands: 1, + data_type: DataType::UShort, + valid_masks: vec![mask], + data: SampleData::U16(data), + no_data_value: None, + }; + lerc::encode(&image, Precision::Lossless).expect("encodes") + } + + #[test] + fn a_blob_decodes_with_its_mask() { + let mut mask = BitMask::all_valid(4); + mask.set_invalid(2); + let encoded = blob(2, 2, vec![10, 20, 0, 40], mask); + let chunk = LercChunk { + width: 2, + height: 2, + samples: 1, + sample_type: SampleType::U16, + }; + let decoded = decode(&encoded, chunk).expect("decodes"); + let values: Vec = decoded + .bytes + .as_chunks::<2>() + .0 + .iter() + .map(|c| u16::from_le_bytes(*c)) + .collect(); + assert_eq!((values[0], values[1], values[3]), (10, 20, 40)); + assert_eq!(decoded.masks, vec![Some(vec![true, true, false, true])]); + } + + #[test] + fn each_band_of_a_multi_band_blob_keeps_its_own_mask() { + let mut first = BitMask::all_valid(2); + first.set_invalid(0); + let mut second = BitMask::all_valid(2); + second.set_invalid(1); + let image = Image { + width: 2, + height: 1, + depth: 1, + bands: 2, + data_type: DataType::UShort, + valid_masks: vec![first, second], + data: SampleData::U16(vec![0, 2, 3, 0]), + no_data_value: None, + }; + let encoded = lerc::encode(&image, Precision::Lossless).expect("encodes"); + let chunk = LercChunk { + width: 2, + height: 1, + samples: 2, + sample_type: SampleType::U16, + }; + let decoded = decode(&encoded, chunk).expect("decodes"); + assert_eq!( + decoded.masks, + vec![Some(vec![false, true]), Some(vec![true, false])] + ); + } + + #[test] + fn a_blob_of_another_shape_is_refused() { + let encoded = blob(2, 2, vec![1, 2, 3, 4], BitMask::all_valid(4)); + let chunk = LercChunk { + width: 4, + height: 1, + samples: 1, + sample_type: SampleType::U16, + }; + assert!(matches!( + decode(&encoded, chunk), + Err(CodecError::LercShape { .. }) + )); + let wrong_type = LercChunk { + width: 2, + height: 2, + samples: 1, + sample_type: SampleType::F32, + }; + assert!(matches!( + decode(&encoded, wrong_type), + Err(CodecError::LercShape { .. }) + )); + assert!(matches!( + decode(b"junk", wrong_type), + Err(CodecError::LercBlob { .. }) + )); + } +} diff --git a/nodedb-raster/src/codec/lerc_blob.rs b/nodedb-raster/src/codec/lerc_blob.rs new file mode 100644 index 000000000..96abd1a0f --- /dev/null +++ b/nodedb-raster/src/codec/lerc_blob.rs @@ -0,0 +1,135 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A bounded pre-walk of the Lerc2 blobs in a chunk, before the LERC +//! decoder sees them. +//! +//! Each blob must open with the `Lerc2 ` magic, declare a size that covers +//! its header and fits the chunk, and (version 3 on) match its Fletcher-32 +//! checksum. The blobs must fill the chunk exactly. The decoder walks the +//! same blob chain without these checks. + +use crate::codec::error::CodecError; + +const MAGIC: &[u8; 6] = b"Lerc2 "; +/// Lerc2 versions the decoder reads. +const VERSIONS: std::ops::RangeInclusive = 2..=6; +/// Bytes before the checksum field, which the checksum excludes. +const CHECKSUM_START: usize = 14; +/// Most blobs one chunk may hold: one per band. +const MAX_BLOBS: usize = u16::MAX as usize; + +/// The number of blobs in `chunk`, after checking every one. +pub fn check_blobs(chunk: &[u8]) -> Result { + let mut offset = 0usize; + let mut blobs = 0usize; + while offset < chunk.len() { + if blobs == MAX_BLOBS { + return Err(blob_error(offset, "more blobs than bands")); + } + let blob = chunk.get(offset..).unwrap_or_default(); + let size = check_blob(blob).map_err(|reason| blob_error(offset, reason))?; + offset += size; + blobs += 1; + } + if blobs == 0 { + return Err(blob_error(0, "the chunk is empty")); + } + Ok(blobs) +} + +/// The size of the blob at the start of `blob`. +fn check_blob(blob: &[u8]) -> Result { + if blob.get(..MAGIC.len()) != Some(MAGIC.as_slice()) { + return Err("no Lerc2 magic"); + } + let version = read_i32(blob, 6).ok_or("truncated header")?; + if !VERSIONS.contains(&version) { + return Err("unsupported Lerc2 version"); + } + // magic, version, [checksum], rows, cols, [depth], valid pixels, + // micro block size, then the blob size. + let checksum_len = if version >= 3 { 4 } else { 0 }; + let depth_len = if version >= 4 { 4 } else { 0 }; + let size_at = 10 + checksum_len + 4 + 4 + depth_len + 4 + 4; + let size = read_i32(blob, size_at).ok_or("truncated header")?; + let size = usize::try_from(size).map_err(|_| "negative blob size")?; + if size < size_at + 4 { + return Err("blob size smaller than its header"); + } + let body = blob.get(..size).ok_or("blob size past the chunk")?; + if version >= 3 { + let stored = read_i32(blob, 10).ok_or("truncated header")? as u32; + let computed = lerc::checksum::fletcher32(body.get(CHECKSUM_START..).unwrap_or_default()); + if stored != computed { + return Err("checksum mismatch"); + } + } + Ok(size) +} + +fn read_i32(bytes: &[u8], at: usize) -> Option { + let raw: [u8; 4] = bytes.get(at..at + 4)?.try_into().ok()?; + Some(i32::from_le_bytes(raw)) +} + +fn blob_error(offset: usize, reason: &'static str) -> CodecError { + CodecError::LercBlob { offset, reason } +} + +#[cfg(test)] +mod tests { + use lerc::bitmask::BitMask; + use lerc::{DataType, Image, Precision, SampleData}; + + use super::*; + + fn blob() -> Vec { + let image = Image { + width: 3, + height: 2, + depth: 1, + bands: 1, + data_type: DataType::Byte, + valid_masks: vec![BitMask::all_valid(6)], + data: SampleData::U8(vec![1, 2, 3, 4, 5, 250]), + no_data_value: None, + }; + lerc::encode(&image, Precision::Lossless).expect("encodes") + } + + #[test] + fn whole_blobs_pass_and_count() { + let one = blob(); + assert_eq!(check_blobs(&one).ok(), Some(1)); + let mut two = one.clone(); + two.extend_from_slice(&one); + assert_eq!(check_blobs(&two).ok(), Some(2)); + } + + #[test] + fn corrupt_sizes_and_bodies_are_refused() { + let good = blob(); + let mut zero_size = good.clone(); + zero_size[34..38].copy_from_slice(&0i32.to_le_bytes()); + assert!(matches!( + check_blobs(&zero_size), + Err(CodecError::LercBlob { .. }) + )); + let mut flipped = good.clone(); + let last = flipped.len() - 1; + flipped[last] ^= 0x10; + assert!(matches!( + check_blobs(&flipped), + Err(CodecError::LercBlob { + reason: "checksum mismatch", + .. + }) + )); + assert!(check_blobs(&good[..good.len() - 1]).is_err()); + let mut trailing = good.clone(); + trailing.push(0); + assert!(check_blobs(&trailing).is_err()); + assert!(check_blobs(b"").is_err()); + assert!(check_blobs(b"CntZImage ").is_err()); + } +} diff --git a/nodedb-raster/src/codec/lzw.rs b/nodedb-raster/src/codec/lzw.rs new file mode 100644 index 000000000..f1ab8c23a --- /dev/null +++ b/nodedb-raster/src/codec/lzw.rs @@ -0,0 +1,113 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! LZW (code 5): MSB-first codes with the TIFF early size switch, or the +//! LSB-first codes of pre-5.0 libtiff. + +use weezl::decode::Decoder; +use weezl::{BitOrder, LzwStatus}; + +use crate::codec::error::CodecError; +use crate::limits::checked_raster_capacity; + +/// Decode the LZW stream `data`, of unknown decoded size, into at most +/// `max` bytes. +pub fn decode_bounded(data: &[u8], max: usize) -> Result, CodecError> { + let max = checked_raster_capacity(max)?; + let mut decoder = decoder_for(data); + let mut out = vec![0u8; max]; + let mut filled = 0usize; + let mut input = data; + loop { + let output = out.get_mut(filled..).unwrap_or_default(); + let result = decoder.decode_bytes(input, output); + input = input.get(result.consumed_in..).unwrap_or_default(); + filled += result.consumed_out; + match result.status { + Ok(LzwStatus::Done) => break, + Ok(LzwStatus::NoProgress) if filled >= max => { + return Err(CodecError::Long { expected: max }); + } + Ok(LzwStatus::NoProgress) => break, + Ok(LzwStatus::Ok) if result.consumed_in == 0 && result.consumed_out == 0 => { + if filled >= max { + return Err(CodecError::Long { expected: max }); + } + break; + } + Ok(LzwStatus::Ok) => {} + Err(error) => return Err(CodecError::Lzw(error)), + } + } + out.truncate(filled); + Ok(out) +} + +/// The decoder for `data`: libtiff reads a stream that opens with 0x00 +/// and an odd second byte as the old LSB-first code order. +fn decoder_for(data: &[u8]) -> Decoder { + if matches!(data, [0, second, ..] if second & 1 == 1) { + Decoder::new(BitOrder::Lsb, 8) + } else { + Decoder::with_tiff_size_switch(BitOrder::Msb, 8) + } +} + +/// Decode the LZW stream `data` into exactly `expected` bytes. +pub fn decode(data: &[u8], expected: usize) -> Result, CodecError> { + let expected = checked_raster_capacity(expected)?; + let mut decoder = decoder_for(data); + let mut out = vec![0u8; expected]; + let mut filled = 0usize; + let mut input = data; + while filled < expected { + let output = out.get_mut(filled..).unwrap_or_default(); + let result = decoder.decode_bytes(input, output); + input = input.get(result.consumed_in..).unwrap_or_default(); + filled += result.consumed_out; + match result.status { + Ok(LzwStatus::Done | LzwStatus::NoProgress) => break, + Ok(LzwStatus::Ok) if result.consumed_in == 0 && result.consumed_out == 0 => break, + Ok(LzwStatus::Ok) => {} + // Trailing garbage after a whole chunk is harmless. + Err(_) if filled >= expected => break, + Err(error) => return Err(CodecError::Lzw(error)), + } + } + if filled < expected { + return Err(CodecError::Short { + expected, + found: filled, + }); + } + Ok(out) +} + +#[cfg(test)] +mod tests { + use weezl::encode::Encoder; + + use super::*; + + #[test] + fn a_tiff_lzw_stream_decodes() { + let raw: Vec = (0..4000u32).map(|i| (i * 7 % 256) as u8).collect(); + let encoded = Encoder::with_tiff_size_switch(BitOrder::Msb, 8) + .encode(&raw) + .expect("encodes"); + assert_eq!(decode(&encoded, raw.len()).ok(), Some(raw)); + } + + #[test] + fn short_and_corrupt_streams_are_typed_errors() { + let raw = vec![3u8; 64]; + let encoded = Encoder::with_tiff_size_switch(BitOrder::Msb, 8) + .encode(&raw) + .expect("encodes"); + assert!(matches!( + decode(&encoded, 128), + Err(CodecError::Short { expected: 128, .. }) + )); + assert!(decode(&[0xFF; 16], 64).is_err()); + assert!(decode(&[], 4).is_err()); + } +} diff --git a/nodedb-raster/src/codec/mod.rs b/nodedb-raster/src/codec/mod.rs new file mode 100644 index 000000000..6370ecfd4 --- /dev/null +++ b/nodedb-raster/src/codec/mod.rs @@ -0,0 +1,18 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! TIFF chunk codecs and predictors, all pure Rust. + +pub mod compression; +pub mod deflate; +pub mod error; +pub mod jpeg; +pub mod lerc; +pub mod lerc_blob; +pub mod lzw; +pub mod packbits; +pub mod predictor; +pub mod zstd; + +pub use compression::{Compression, LercWrap}; +pub use error::CodecError; +pub use predictor::Predictor; diff --git a/nodedb-raster/src/codec/packbits.rs b/nodedb-raster/src/codec/packbits.rs new file mode 100644 index 000000000..f6c1248e4 --- /dev/null +++ b/nodedb-raster/src/codec/packbits.rs @@ -0,0 +1,131 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! PackBits (code 32773): byte runs and literals. +//! +//! A header byte `n` in `0..=127` copies the next `n + 1` bytes. `n` in +//! `-127..=-1` repeats the next byte `1 - n` times. `-128` is a no-op. + +use crate::codec::error::CodecError; + +/// Unpack `data` into exactly `expected` bytes. A run past `expected` is +/// cut at `expected`. +pub fn unpack(data: &[u8], expected: usize) -> Result, CodecError> { + let mut out = Vec::with_capacity(expected); + let mut at = 0usize; + while out.len() < expected { + let Some(&header) = data.get(at) else { + break; + }; + at += 1; + let room = expected - out.len(); + let n = i8::from_ne_bytes([header]); + if n >= 0 { + let count = usize::from(n.unsigned_abs()) + 1; + let literal = data + .get(at..at + count) + .ok_or(CodecError::PackBitsOverrun { offset: at - 1 })?; + out.extend_from_slice(literal.get(..count.min(room)).unwrap_or_default()); + at += count; + } else if n != i8::MIN { + let count = usize::from(n.unsigned_abs()) + 1; + let &byte = data + .get(at) + .ok_or(CodecError::PackBitsOverrun { offset: at - 1 })?; + at += 1; + out.resize(out.len() + count.min(room), byte); + } + } + if out.len() < expected { + return Err(CodecError::Short { + expected, + found: out.len(), + }); + } + Ok(out) +} + +/// Unpack `data`, of unknown decoded size, into at most `max` bytes. +pub fn unpack_bounded(data: &[u8], max: usize) -> Result, CodecError> { + let mut out = Vec::new(); + let mut at = 0usize; + while let Some(&header) = data.get(at) { + at += 1; + let n = i8::from_ne_bytes([header]); + let count = usize::from(n.unsigned_abs()) + 1; + if n >= 0 { + let literal = data + .get(at..at + count) + .ok_or(CodecError::PackBitsOverrun { offset: at - 1 })?; + if out.len() + count > max { + return Err(CodecError::Long { expected: max }); + } + out.extend_from_slice(literal); + at += count; + } else if n != i8::MIN { + let &byte = data + .get(at) + .ok_or(CodecError::PackBitsOverrun { offset: at - 1 })?; + at += 1; + if out.len() + count > max { + return Err(CodecError::Long { expected: max }); + } + out.resize(out.len() + count, byte); + } + } + Ok(out) +} + +#[cfg(test)] +mod tests { + use super::*; + + /// The worked example of the TIFF 6.0 specification, section 9. + #[test] + fn the_specification_example_unpacks() { + let packed = [ + 0xFE, 0xAA, 0x02, 0x80, 0x00, 0x2A, 0xFD, 0xAA, 0x03, 0x80, 0x00, 0x2A, 0x22, 0xF7, + 0xAA, + ]; + let want = [ + 0xAA, 0xAA, 0xAA, 0x80, 0x00, 0x2A, 0xAA, 0xAA, 0xAA, 0xAA, 0x80, 0x00, 0x2A, 0x22, + 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, + ]; + assert_eq!(unpack(&packed, want.len()).ok(), Some(want.to_vec())); + } + + #[test] + fn bounded_unpack_refuses_more_than_the_cap() { + assert_eq!( + unpack_bounded(&[0xFD, 7, 0x00, 1], 8).ok(), + Some(vec![7, 7, 7, 7, 1]) + ); + assert!(matches!( + unpack_bounded(&[0x81, 7], 8), + Err(CodecError::Long { expected: 8 }) + )); + } + + #[test] + fn noops_are_skipped_and_runs_are_cut_at_the_chunk() { + assert_eq!(unpack(&[0x80, 0xFD, 7], 2).ok(), Some(vec![7, 7])); + } + + #[test] + fn overruns_and_short_streams_are_typed_errors() { + assert!(matches!( + unpack(&[0x05, 1, 2], 6), + Err(CodecError::PackBitsOverrun { offset: 0 }) + )); + assert!(matches!( + unpack(&[0xFF], 2), + Err(CodecError::PackBitsOverrun { offset: 0 }) + )); + assert!(matches!( + unpack(&[0x00, 9], 3), + Err(CodecError::Short { + expected: 3, + found: 1 + }) + )); + } +} diff --git a/nodedb-raster/src/codec/predictor.rs b/nodedb-raster/src/codec/predictor.rs new file mode 100644 index 000000000..e5bcdc74a --- /dev/null +++ b/nodedb-raster/src/codec/predictor.rs @@ -0,0 +1,193 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! TIFF predictors: horizontal differencing (2) and the floating-point +//! byte-plane predictor of TIFF Technical Note 3 (3). + +use crate::error::RasterError; +use crate::sample::SampleType; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::error::UnsupportedTiff; + +/// The `Predictor` tag. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum Predictor { + None, + Horizontal, + FloatingPoint, +} + +/// The shape of one decoded chunk a predictor runs over. +#[derive(Debug, Clone, Copy)] +pub struct PredictorShape { + /// Samples per row: chunk width times samples per pixel. + pub row_samples: usize, + /// Samples per pixel in the chunk: the differencing stride. + pub stride: usize, + pub sample_type: SampleType, + pub order: ByteOrder, +} + +impl Predictor { + /// The predictor of tag value `code` for `sample_type` samples. + pub fn from_code(code: u16, sample_type: SampleType) -> Result { + match code { + 1 => Ok(Predictor::None), + 2 => Ok(Predictor::Horizontal), + 3 if sample_type.is_float() => Ok(Predictor::FloatingPoint), + 3 => Err(UnsupportedTiff::FloatPredictorOnIntegers { sample_type }.into()), + code => Err(UnsupportedTiff::Predictor { code }.into()), + } + } + + /// Undo the predictor over `data`, rows of `shape.row_samples` samples + /// stored in `shape.order`. The floating-point predictor leaves the + /// samples in `shape.order` as well. A trailing partial row is left + /// as is. + pub fn undo(self, data: &mut [u8], shape: PredictorShape) { + let width = shape.sample_type.byte_len(); + let row_bytes = shape.row_samples.saturating_mul(width); + if row_bytes == 0 { + return; + } + match self { + Predictor::None => {} + Predictor::Horizontal => { + for row in data.chunks_exact_mut(row_bytes) { + undo_horizontal(row, shape.stride, width, shape.order); + } + } + Predictor::FloatingPoint => { + let mut scratch = vec![0u8; row_bytes]; + for row in data.chunks_exact_mut(row_bytes) { + undo_floating(row, &mut scratch, shape.stride, width, shape.order); + } + } + } + } +} + +/// `sample[i] += sample[i - stride]`, wrapping at the sample width. +fn undo_horizontal(row: &mut [u8], stride: usize, width: usize, order: ByteOrder) { + let samples = row.len() / width; + let mask = if width >= 8 { + u64::MAX + } else { + (1u64 << (width * 8)) - 1 + }; + for i in stride..samples { + let (Some(left), Some(here)) = ( + order.uint_at(row, (i - stride) * width, width), + order.uint_at(row, i * width, width), + ) else { + return; + }; + order.put_uint(row, i * width, width, here.wrapping_add(left) & mask); + } +} + +/// Undo byte differencing at the pixel stride, then gather the byte +/// planes (most significant byte first) back into samples. +fn undo_floating( + row: &mut [u8], + scratch: &mut [u8], + stride: usize, + width: usize, + order: ByteOrder, +) { + for i in stride..row.len() { + row[i] = row[i].wrapping_add(row[i - stride]); + } + let samples = row.len() / width; + for i in 0..samples { + for byte in 0..width { + let plane = row[byte * samples + i]; + let at = match order { + ByteOrder::Big => i * width + byte, + ByteOrder::Little => i * width + (width - 1 - byte), + }; + scratch[at] = plane; + } + } + row.copy_from_slice(scratch); +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn horizontal_differences_add_back_per_band() { + // Two pixels of two u16 bands, little-endian: (1, 100), (+2, -1). + let mut data = Vec::new(); + for v in [1u16, 100, 2, u16::MAX] { + data.extend(v.to_le_bytes()); + } + let shape = PredictorShape { + row_samples: 4, + stride: 2, + sample_type: SampleType::U16, + order: ByteOrder::Little, + }; + Predictor::Horizontal.undo(&mut data, shape); + let samples: Vec = data + .as_chunks::<2>() + .0 + .iter() + .map(|c| u16::from_le_bytes(*c)) + .collect(); + assert_eq!(samples, vec![1, 100, 3, 99]); + } + + #[test] + fn floating_point_planes_reassemble() { + let values = [1.5f32, -2.25, 1000.0]; + // Encode: big-endian byte planes, then byte differencing at stride 1. + let be: Vec<[u8; 4]> = values.iter().map(|v| v.to_be_bytes()).collect(); + let mut encoded: Vec = (0..4) + .flat_map(|byte| be.iter().map(move |s| s[byte])) + .collect(); + for i in (1..encoded.len()).rev() { + encoded[i] = encoded[i].wrapping_sub(encoded[i - 1]); + } + for order in [ByteOrder::Little, ByteOrder::Big] { + let mut data = encoded.clone(); + let shape = PredictorShape { + row_samples: 3, + stride: 1, + sample_type: SampleType::F32, + order, + }; + Predictor::FloatingPoint.undo(&mut data, shape); + let decoded: Vec = data + .as_chunks::<4>() + .0 + .iter() + .map(|raw| match order { + ByteOrder::Little => f32::from_le_bytes(*raw), + ByteOrder::Big => f32::from_be_bytes(*raw), + }) + .collect(); + assert_eq!(decoded, values); + } + } + + #[test] + fn predictor_codes_are_checked() { + assert_eq!( + Predictor::from_code(3, SampleType::F64).ok(), + Some(Predictor::FloatingPoint) + ); + assert!(matches!( + Predictor::from_code(3, SampleType::U16), + Err(RasterError::UnsupportedTiff( + UnsupportedTiff::FloatPredictorOnIntegers { .. } + )) + )); + assert!(matches!( + Predictor::from_code(34892, SampleType::U8), + Err(RasterError::UnsupportedTiff(UnsupportedTiff::Predictor { + code: 34892 + })) + )); + } +} diff --git a/nodedb-raster/src/codec/zstd.rs b/nodedb-raster/src/codec/zstd.rs new file mode 100644 index 000000000..d666e7b3c --- /dev/null +++ b/nodedb-raster/src/codec/zstd.rs @@ -0,0 +1,110 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! ZSTD (code 50000), through the pure-Rust `ruzstd` decoder. + +use ruzstd::decoding::errors::FrameDecoderError; +use ruzstd::decoding::{DEFAULT_MAX_WINDOW_SIZE, FrameDecoder}; + +use crate::codec::error::CodecError; +use crate::limits::checked_raster_capacity; + +/// Smallest window the decoder accepts, whatever the chunk size. +const MIN_WINDOW: u64 = 1 << 20; + +/// A frame decoder whose window is bounded by `content` decoded bytes. A +/// frame needs no window larger than its content. Twice the content, +/// rounded up, bounds the decode buffer for any sane encoder. +fn decoder_for(content: usize) -> FrameDecoder { + let mut decoder = FrameDecoder::new(); + let window = (content as u64) + .max(1) + .checked_next_power_of_two() + .map_or(DEFAULT_MAX_WINDOW_SIZE, |w| w.saturating_mul(2)) + .clamp(MIN_WINDOW, DEFAULT_MAX_WINDOW_SIZE); + decoder.set_max_window_size(window); + decoder +} + +/// Decode the ZSTD frames `data`, of unknown decoded size, into at most +/// `max` bytes. +pub fn decode_bounded(data: &[u8], max: usize) -> Result, CodecError> { + let max = checked_raster_capacity(max)?; + let mut decoder = decoder_for(max); + let mut out = Vec::with_capacity(max); + decoder + .decode_all_to_vec(data, &mut out) + .map_err(|error| match error { + FrameDecoderError::TargetTooSmall => CodecError::Long { expected: max }, + other => CodecError::Zstd(other), + })?; + Ok(out) +} + +/// Decode the ZSTD frames `data` into exactly `expected` bytes. +pub fn decode(data: &[u8], expected: usize) -> Result, CodecError> { + let expected = checked_raster_capacity(expected)?; + let mut decoder = decoder_for(expected); + let mut out = vec![0u8; expected]; + let written = decoder + .decode_all(data, &mut out) + .map_err(|error| match error { + FrameDecoderError::TargetTooSmall => CodecError::Long { expected }, + other => CodecError::Zstd(other), + })?; + if written < expected { + return Err(CodecError::Short { + expected, + found: written, + }); + } + Ok(out) +} + +#[cfg(test)] +mod tests { + use super::*; + + /// One raw ZSTD block frame of `raw`: magic, a single-segment frame + /// header with a one-byte content size, and a last raw block. + fn raw_frame(raw: &[u8]) -> Vec { + let len = u8::try_from(raw.len()).expect("short"); + let mut frame = vec![0x28, 0xB5, 0x2F, 0xFD, 0x20, len]; + let block_header = (u32::from(len) << 3) | 1; + frame.extend_from_slice(&block_header.to_le_bytes()[..3]); + frame.extend_from_slice(raw); + frame + } + + #[test] + fn a_frame_decodes_to_the_chunk() { + let raw = [5u8, 6, 7, 8]; + assert_eq!(decode(&raw_frame(&raw), 4).ok(), Some(raw.to_vec())); + } + + #[test] + fn short_long_and_corrupt_frames_are_typed_errors() { + let frame = raw_frame(&[1, 2, 3, 4]); + assert!(matches!( + decode(&frame, 8), + Err(CodecError::Short { + expected: 8, + found: 4 + }) + )); + assert!(matches!( + decode(&frame, 2), + Err(CodecError::Long { expected: 2 }) + )); + assert!(matches!(decode(b"garbage!", 4), Err(CodecError::Zstd(_)))); + } + + #[test] + fn bounded_decode_returns_the_content() { + let frame = raw_frame(&[1, 2, 3, 4]); + assert_eq!(decode_bounded(&frame, 16).ok(), Some(vec![1, 2, 3, 4])); + assert!(matches!( + decode_bounded(&frame, 2), + Err(CodecError::Long { expected: 2 }) + )); + } +} diff --git a/nodedb-raster/src/crs.rs b/nodedb-raster/src/crs.rs deleted file mode 100644 index d9218bb67..000000000 --- a/nodedb-raster/src/crs.rs +++ /dev/null @@ -1,119 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! The raster CRS, from the GeoKey directory. -//! -//! A projected model (1) reads `ProjectedCRSGeoKey` (3072), a geographic -//! model (2) reads `GeodeticCRSGeoKey` (2048). With no model key, 3072 wins -//! over 2048. The EPSG code then maps through [`Srid::from_code`]. - -use nodedb_types::geometry::Srid; - -use crate::error::RasterError; -use crate::geokeys::{GEOGRAPHIC_TYPE, GT_MODEL_TYPE, GeoKeyDirectory, PROJECTED_CS_TYPE}; - -const MODEL_PROJECTED: u16 = 1; -const MODEL_GEOGRAPHIC: u16 = 2; -/// GeoKey value of a CRS defined by parameters, not by an EPSG code. -const USER_DEFINED: u16 = 32767; -/// GeoKey value of an undefined CRS. -const UNDEFINED: u16 = 0; - -/// The SRID the GeoKeys name, or `None` when they name no CRS. -pub fn srid_from_geokeys(keys: Option<&GeoKeyDirectory>) -> Result, RasterError> { - let Some(keys) = keys else { - return Ok(None); - }; - let key = match keys.short(GT_MODEL_TYPE) { - Some(MODEL_PROJECTED) => PROJECTED_CS_TYPE, - Some(MODEL_GEOGRAPHIC) => GEOGRAPHIC_TYPE, - Some(model) => return Err(RasterError::UnsupportedModelType { model }), - None if keys.short(PROJECTED_CS_TYPE).is_some() => PROJECTED_CS_TYPE, - None if keys.short(GEOGRAPHIC_TYPE).is_some() => GEOGRAPHIC_TYPE, - None => return Ok(None), - }; - let model = keys.short(GT_MODEL_TYPE).unwrap_or(UNDEFINED); - match keys.short(key) { - None | Some(UNDEFINED) => Err(RasterError::MissingCrsKey { model, key }), - Some(USER_DEFINED) => Err(RasterError::UserDefinedCrs { key }), - Some(code) => Ok(Some(Srid::from_code(i64::from(code))?)), - } -} - -#[cfg(test)] -mod tests { - use super::*; - - fn keys(entries: &[(u16, u16)]) -> GeoKeyDirectory { - let count = u16::try_from(entries.len()).expect("few keys"); - let mut dir = vec![1, 1, 0, count]; - for (key, value) in entries { - dir.extend([*key, 0, 1, *value]); - } - GeoKeyDirectory::parse(&dir, None, None).expect("valid directory") - } - - #[test] - fn no_directory_is_no_crs() { - assert_eq!(srid_from_geokeys(None).ok(), Some(None)); - } - - #[test] - fn projected_model_reads_3072() { - let dir = keys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 32647)]); - assert_eq!(srid_from_geokeys(Some(&dir)).ok(), Some(Some(Srid::Utm47N))); - } - - #[test] - fn geographic_model_reads_2048() { - let dir = keys(&[(GT_MODEL_TYPE, 2), (GEOGRAPHIC_TYPE, 4326)]); - assert_eq!(srid_from_geokeys(Some(&dir)).ok(), Some(Some(Srid::Wgs84))); - } - - #[test] - fn model_key_picks_the_crs_key() { - let dir = keys(&[ - (GT_MODEL_TYPE, 2), - (GEOGRAPHIC_TYPE, 4326), - (PROJECTED_CS_TYPE, 32648), - ]); - assert_eq!(srid_from_geokeys(Some(&dir)).ok(), Some(Some(Srid::Wgs84))); - } - - #[test] - fn without_a_model_key_3072_wins() { - let dir = keys(&[(GEOGRAPHIC_TYPE, 4326), (PROJECTED_CS_TYPE, 3375)]); - assert_eq!( - srid_from_geokeys(Some(&dir)).ok(), - Some(Some(Srid::PeninsularRso)) - ); - let none = keys(&[(1025, 1)]); - assert_eq!(srid_from_geokeys(Some(&none)).ok(), Some(None)); - } - - #[test] - fn unmappable_crs_are_typed_errors() { - let geocentric = keys(&[(GT_MODEL_TYPE, 3)]); - assert!(matches!( - srid_from_geokeys(Some(&geocentric)), - Err(RasterError::UnsupportedModelType { model: 3 }) - )); - let missing = keys(&[(GT_MODEL_TYPE, 1)]); - assert!(matches!( - srid_from_geokeys(Some(&missing)), - Err(RasterError::MissingCrsKey { - model: 1, - key: 3072 - }) - )); - let user = keys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 32767)]); - assert!(matches!( - srid_from_geokeys(Some(&user)), - Err(RasterError::UserDefinedCrs { key: 3072 }) - )); - let other = keys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 32633)]); - assert!(matches!( - srid_from_geokeys(Some(&other)), - Err(RasterError::UnsupportedCrs(_)) - )); - } -} diff --git a/nodedb-raster/src/crs/mod.rs b/nodedb-raster/src/crs/mod.rs new file mode 100644 index 000000000..a41fe0f03 --- /dev/null +++ b/nodedb-raster/src/crs/mod.rs @@ -0,0 +1,14 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The raster CRS, from the GeoKey directory. + +pub mod projection_keys; +pub mod registry_match; +pub mod srid; +pub mod units; +pub mod user_defined; + +pub use registry_match::match_registered; +pub use srid::{crs_ref_from_geokeys, resolve_crs, srid_from_geokeys}; +pub use units::USER_DEFINED; +pub use user_defined::decode_user_crs; diff --git a/nodedb-raster/src/crs/projection_keys.rs b/nodedb-raster/src/crs/projection_keys.rs new file mode 100644 index 000000000..8c0830c37 --- /dev/null +++ b/nodedb-raster/src/crs/projection_keys.rs @@ -0,0 +1,312 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The projection of a user-defined GeoTIFF CRS, as PROJ parameters. Keys +//! map the way GDAL maps them, with the same fallbacks between natural +//! origin, false origin and centre keys. + +use super::units::{AngleUnit, epsg_code, push, unsupported}; +use crate::error::RasterError; +use crate::tiff::geokeys::{ + GEOG_ANGULAR_UNIT_SIZE, GEOG_AZIMUTH_UNITS, GeoKeyDirectory, PROJ_AZIMUTH_ANGLE, + PROJ_CENTER_EASTING, PROJ_CENTER_LAT, PROJ_CENTER_LONG, PROJ_CENTER_NORTHING, + PROJ_FALSE_EASTING, PROJ_FALSE_NORTHING, PROJ_FALSE_ORIGIN_EASTING, PROJ_FALSE_ORIGIN_LAT, + PROJ_FALSE_ORIGIN_LONG, PROJ_FALSE_ORIGIN_NORTHING, PROJ_METHOD, PROJ_NAT_ORIGIN_LAT, + PROJ_NAT_ORIGIN_LONG, PROJ_RECTIFIED_GRID_ANGLE, PROJ_SCALE_AT_CENTER, + PROJ_SCALE_AT_NAT_ORIGIN, PROJ_STD_PARALLEL_1, PROJ_STD_PARALLEL_2, + PROJ_STRAIGHT_VERT_POLE_LONG, PROJECTION, +}; + +/// EPSG conversion codes of UTM zones: north `16000 + zone`, south +/// `16100 + zone`. +const UTM_NORTH_BASE: u16 = 16_000; +const UTM_SOUTH_BASE: u16 = 16_100; +const UTM_ZONES: u16 = 60; + +/// GeoTIFF projection method codes (`ProjMethodGeoKey`). +mod method { + pub const TRANSVERSE_MERCATOR: u16 = 1; + pub const OBLIQUE_MERCATOR: u16 = 3; + pub const MERCATOR: u16 = 7; + pub const LCC_2SP: u16 = 8; + pub const LCC_1SP: u16 = 9; + pub const LAEA: u16 = 10; + pub const ALBERS: u16 = 11; + pub const AZIMUTHAL_EQUIDISTANT: u16 = 12; + pub const STEREOGRAPHIC: u16 = 14; + pub const POLAR_STEREOGRAPHIC: u16 = 15; + pub const OBLIQUE_STEREOGRAPHIC: u16 = 16; + pub const EQUIRECTANGULAR: u16 = 17; + pub const CASSINI_SOLDNER: u16 = 18; + pub const POLYCONIC: u16 = 22; + pub const SINUSOIDAL: u16 = 24; + pub const NEW_ZEALAND_MAP_GRID: u16 = 26; + pub const TM_SOUTH_ORIENTATED: u16 = 27; + pub const CYLINDRICAL_EQUAL_AREA: u16 = 28; +} + +/// Reads projection parameters in their units. +struct Params<'a> { + keys: &'a GeoKeyDirectory, + angle: AngleUnit, + azimuth: AngleUnit, + metres: f64, +} + +impl Params<'_> { + /// The first of `keys` present, as degrees. + fn angle(&self, keys: &[u16]) -> Option { + self.first(keys).map(|v| self.angle.degrees(v)) + } + + /// The first of `keys` present, as metres. + fn length(&self, keys: &[u16]) -> f64 { + self.first(keys).map_or(0.0, |v| v * self.metres) + } + + fn first(&self, keys: &[u16]) -> Option { + keys.iter().find_map(|k| self.keys.double(*k)) + } + + fn scale(&self) -> f64 { + self.first(&[PROJ_SCALE_AT_NAT_ORIGIN, PROJ_SCALE_AT_CENTER]) + .unwrap_or(1.0) + } + + fn azimuth(&self, key: u16) -> Option { + self.keys.double(key).map(|v| self.azimuth.degrees(v)) + } +} + +const NAT_LAT: [u16; 3] = [PROJ_NAT_ORIGIN_LAT, PROJ_FALSE_ORIGIN_LAT, PROJ_CENTER_LAT]; +const NAT_LONG: [u16; 3] = [ + PROJ_NAT_ORIGIN_LONG, + PROJ_FALSE_ORIGIN_LONG, + PROJ_CENTER_LONG, +]; +const CENTER_LAT: [u16; 3] = [PROJ_CENTER_LAT, PROJ_NAT_ORIGIN_LAT, PROJ_FALSE_ORIGIN_LAT]; +const CENTER_LONG: [u16; 3] = [ + PROJ_CENTER_LONG, + PROJ_NAT_ORIGIN_LONG, + PROJ_FALSE_ORIGIN_LONG, +]; +const ORIGIN_LAT: [u16; 3] = [PROJ_FALSE_ORIGIN_LAT, PROJ_NAT_ORIGIN_LAT, PROJ_CENTER_LAT]; +const ORIGIN_LONG: [u16; 3] = [ + PROJ_FALSE_ORIGIN_LONG, + PROJ_NAT_ORIGIN_LONG, + PROJ_CENTER_LONG, +]; +const EASTING: [u16; 3] = [ + PROJ_FALSE_EASTING, + PROJ_FALSE_ORIGIN_EASTING, + PROJ_CENTER_EASTING, +]; +const NORTHING: [u16; 3] = [ + PROJ_FALSE_NORTHING, + PROJ_FALSE_ORIGIN_NORTHING, + PROJ_CENTER_NORTHING, +]; + +/// Write the PROJ projection parameters of `keys` into `out`. False +/// eastings and northings convert from the projected unit to metres. +pub(super) fn projection( + keys: &GeoKeyDirectory, + angle: AngleUnit, + metres: f64, + out: &mut String, +) -> Result<(), RasterError> { + if let Some(code) = epsg_code(keys.short(PROJECTION)) { + return utm_conversion(code, out); + } + let code = keys.short(PROJ_METHOD).ok_or_else(|| { + unsupported(format!( + "GeoKey {PROJECTION} is user-defined but GeoKey {PROJ_METHOD} is absent" + )) + })?; + let p = Params { + keys, + angle, + azimuth: AngleUnit::of(keys, GEOG_AZIMUTH_UNITS, GEOG_ANGULAR_UNIT_SIZE)?, + metres, + }; + let deg = |v: Option| v.unwrap_or(0.0); + let x0 = p.length(&EASTING); + let y0 = p.length(&NORTHING); + let k = p.scale(); + match code { + method::TRANSVERSE_MERCATOR | method::TM_SOUTH_ORIENTATED => { + push( + out, + format_args!( + "+proj=tmerc +lat_0={} +lon_0={} +k={k}", + deg(p.angle(&NAT_LAT)), + deg(p.angle(&NAT_LONG)) + ), + ); + if code == method::TM_SOUTH_ORIENTATED { + out.push_str(" +axis=wsu"); + } + } + method::OBLIQUE_MERCATOR => { + let alpha = deg(p.azimuth(PROJ_AZIMUTH_ANGLE)); + let gamma = p.azimuth(PROJ_RECTIFIED_GRID_ANGLE).unwrap_or(alpha); + push( + out, + format_args!( + "+proj=omerc +no_uoff +lat_0={} +lonc={} +alpha={alpha} +gamma={gamma} +k={k}", + deg(p.angle(&CENTER_LAT)), + deg(p.angle(&CENTER_LONG)) + ), + ); + } + method::MERCATOR => { + push( + out, + format_args!("+proj=merc +lon_0={}", deg(p.angle(&NAT_LONG))), + ); + match p.angle(&[PROJ_STD_PARALLEL_1]).filter(|v| *v != 0.0) { + Some(lat_ts) => push(out, format_args!(" +lat_ts={lat_ts}")), + None => push(out, format_args!(" +k={k}")), + } + } + method::LCC_2SP => push( + out, + format_args!( + "+proj=lcc +lat_0={} +lon_0={} +lat_1={} +lat_2={}", + deg(p.angle(&ORIGIN_LAT)), + deg(p.angle(&ORIGIN_LONG)), + deg(p.angle(&[PROJ_STD_PARALLEL_1])), + deg(p.angle(&[PROJ_STD_PARALLEL_2])) + ), + ), + method::LCC_1SP => { + let lat = deg(p.angle(&NAT_LAT)); + push( + out, + format_args!( + "+proj=lcc +lat_1={lat} +lat_0={lat} +lon_0={} +k_0={k}", + deg(p.angle(&NAT_LONG)) + ), + ); + } + method::LAEA | method::AZIMUTHAL_EQUIDISTANT => { + let name = if code == method::LAEA { "laea" } else { "aeqd" }; + push( + out, + format_args!( + "+proj={name} +lat_0={} +lon_0={}", + deg(p.angle(&CENTER_LAT)), + deg(p.angle(&CENTER_LONG)) + ), + ); + } + method::ALBERS => push( + out, + format_args!( + "+proj=aea +lat_1={} +lat_2={} +lat_0={} +lon_0={}", + deg(p.angle(&[PROJ_STD_PARALLEL_1])), + deg(p.angle(&[PROJ_STD_PARALLEL_2])), + deg(p.angle(&ORIGIN_LAT)), + deg(p.angle(&ORIGIN_LONG)) + ), + ), + method::STEREOGRAPHIC | method::OBLIQUE_STEREOGRAPHIC => { + let name = if code == method::STEREOGRAPHIC { + "stere" + } else { + "sterea" + }; + push( + out, + format_args!( + "+proj={name} +lat_0={} +lon_0={} +k={k}", + deg(p.angle(&CENTER_LAT)), + deg(p.angle(&CENTER_LONG)) + ), + ); + } + method::POLAR_STEREOGRAPHIC => { + let lat_ts = deg(p.angle(&NAT_LAT)); + let pole = if lat_ts < 0.0 { -90.0 } else { 90.0 }; + let lon = p + .angle(&[PROJ_STRAIGHT_VERT_POLE_LONG]) + .or_else(|| p.angle(&NAT_LONG)); + push( + out, + format_args!( + "+proj=stere +lat_0={pole} +lat_ts={lat_ts} +lon_0={} +k={k}", + deg(lon) + ), + ); + } + method::EQUIRECTANGULAR => { + let lat_ts = p + .angle(&[PROJ_STD_PARALLEL_1]) + .or_else(|| p.angle(&[PROJ_CENTER_LAT])); + push( + out, + format_args!( + "+proj=eqc +lat_ts={} +lon_0={}", + deg(lat_ts), + deg(p.angle(&CENTER_LONG)) + ), + ); + } + method::CASSINI_SOLDNER | method::POLYCONIC | method::NEW_ZEALAND_MAP_GRID => { + let name = match code { + method::CASSINI_SOLDNER => "cass", + method::POLYCONIC => "poly", + _ => "nzmg", + }; + push( + out, + format_args!( + "+proj={name} +lat_0={} +lon_0={}", + deg(p.angle(&NAT_LAT)), + deg(p.angle(&NAT_LONG)) + ), + ); + } + method::SINUSOIDAL => push( + out, + format_args!("+proj=sinu +lon_0={}", deg(p.angle(&CENTER_LONG))), + ), + method::CYLINDRICAL_EQUAL_AREA => push( + out, + format_args!( + "+proj=cea +lat_ts={} +lon_0={}", + deg(p.angle(&[PROJ_STD_PARALLEL_1])), + deg(p.angle(&NAT_LONG)) + ), + ), + other => { + return Err(unsupported(format!( + "projection method {other} in GeoKey {PROJ_METHOD} is not supported" + ))); + } + } + push(out, format_args!(" +x_0={x0} +y_0={y0}")); + Ok(()) +} + +/// The UTM zone of EPSG conversion `code`, as PROJ parameters. +fn utm_conversion(code: u16, out: &mut String) -> Result<(), RasterError> { + let (zone, south) = match code { + c if (UTM_NORTH_BASE + 1..=UTM_NORTH_BASE + UTM_ZONES).contains(&c) => { + (c - UTM_NORTH_BASE, false) + } + c if (UTM_SOUTH_BASE + 1..=UTM_SOUTH_BASE + UTM_ZONES).contains(&c) => { + (c - UTM_SOUTH_BASE, true) + } + other => { + return Err(unsupported(format!( + "conversion {other} in GeoKey {PROJECTION} is not supported; \ + supported: UTM zones (16001..16060, 16101..16160) and user-defined (32767)" + ))); + } + }; + push(out, format_args!("+proj=utm +zone={zone}")); + if south { + out.push_str(" +south"); + } + Ok(()) +} diff --git a/nodedb-raster/src/crs/registry_match.rs b/nodedb-raster/src/crs/registry_match.rs new file mode 100644 index 000000000..0f9bf8cee --- /dev/null +++ b/nodedb-raster/src/crs/registry_match.rs @@ -0,0 +1,200 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Match a decoded CRS definition to the registered CRS it equals: a live +//! user-defined CRS of the context, or a built-in CRS. +//! +//! Two definitions have one shape when their projections have the same +//! method and parameters, their ellipsoids the same axes, their prime +//! meridians and axis orders agree, and their linear units are equal. +//! +//! The datum decides among candidates of one shape: +//! - A decoded datum with an EPSG code accepts only candidates on that +//! datum code. +//! - A decoded datum without one accepts candidates where +//! [`Datum::same_datum`] holds: same ellipsoid and a shift with the same +//! effect. A GeoTIFF that names only an ellipsoid carries no shift, so it +//! accepts every candidate with a null shift on that ellipsoid. +//! - When the accepted candidates sit on more than one EPSG datum, the file +//! does not say which one it means. The match is refused as ambiguous, so +//! the stored SRID never names a datum the file does not. +//! +//! Among accepted candidates on one datum the lowest code wins. + +use nodedb_crs::registry::builtin_codes; +use nodedb_crs::{ + CrsContext, CrsDef, CrsKind, CustomCrsState, Datum, Ellipsoid, LinearUnit, ProjectionDef, +}; +use nodedb_types::geometry::Srid; + +use crate::error::RasterError; + +/// Relative tolerance of a projection parameter, an axis or a unit. +const RELATIVE_TOLERANCE: f64 = 1e-9; + +/// The registered SRID `def` equals. +/// +/// Fails with [`RasterError::UnmatchedUserCrs`] when no candidate has the +/// shape and datum of `def`, and with [`RasterError::AmbiguousUserCrs`] +/// when the accepted candidates sit on two EPSG datums. Both name the PROJ +/// text of `def`. +pub fn match_registered(def: &CrsDef, ctx: &CrsContext<'_>) -> Result { + let custom: Vec = ctx + .custom_set() + .entries() + .iter() + .filter_map(|entry| match &entry.state { + CustomCrsState::Live(live) if live.kind == def.kind => Some(entry.srid), + CustomCrsState::Live(_) | CustomCrsState::Dropped => None, + }) + .collect(); + let mut chosen: Option<(Srid, Option)> = None; + for srid in builtin_codes(def.kind).chain(custom) { + // A fork per candidate keeps the memo from growing over the whole + // table. + let Ok(candidate) = ctx.fork().resolve(srid) else { + continue; + }; + if !same_shape(def, &candidate) || !datum_accepts(&def.datum, &candidate.datum) { + continue; + } + let datum_code = candidate.datum.epsg_code; + chosen = match chosen { + None => Some((srid, datum_code)), + Some((first, first_code)) if first_code != datum_code => { + return Err(RasterError::AmbiguousUserCrs { + proj: def.to_proj_string().unwrap_or_else(|_| def.to_wkt2()), + first: first.min(srid), + second: first.max(srid), + }); + } + Some((first, first_code)) => Some((first.min(srid), first_code)), + }; + } + chosen + .map(|(srid, _)| srid) + .ok_or_else(|| RasterError::UnmatchedUserCrs { + proj: def.to_proj_string().unwrap_or_else(|_| def.to_wkt2()), + }) +} + +/// Whether a candidate datum is one the decoded datum accepts. +fn datum_accepts(decoded: &Datum, candidate: &Datum) -> bool { + match decoded.epsg_code { + Some(code) => candidate.epsg_code == Some(code), + None => decoded.same_datum(candidate), + } +} + +/// Whether `a` and `b` have equal projections, ellipsoids, prime +/// meridians, axis orders and units. +fn same_shape(a: &CrsDef, b: &CrsDef) -> bool { + a.kind == b.kind + && a.axis == b.axis + && close(a.datum.prime_meridian_deg, b.datum.prime_meridian_deg) + && same_ellipsoid(&a.datum.ellipsoid, &b.datum.ellipsoid) + && same_unit(&a.unit, &b.unit, a.kind) + && same_projection(a.projection.as_ref(), b.projection.as_ref()) +} + +fn close(a: f64, b: f64) -> bool { + (a - b).abs() <= RELATIVE_TOLERANCE * a.abs().max(b.abs()).max(1.0) +} + +fn same_ellipsoid(a: &Ellipsoid, b: &Ellipsoid) -> bool { + close(a.a, b.a) && (a.is_sphere() == b.is_sphere()) && close(a.inv_f, b.inv_f) +} + +/// Geographic coordinates are degrees whatever the unit field holds. +fn same_unit(a: &LinearUnit, b: &LinearUnit, kind: CrsKind) -> bool { + match kind { + CrsKind::Geographic => true, + CrsKind::Projected => close(a.metres_per_unit, b.metres_per_unit), + } +} + +/// Same method and every parameter within tolerance. The parameters are +/// compared through their PROJ text, so every method compares one way. +fn same_projection(a: Option<&ProjectionDef>, b: Option<&ProjectionDef>) -> bool { + match (a, b) { + (None, None) => true, + (Some(a), Some(b)) => { + if core::mem::discriminant(a) != core::mem::discriminant(b) { + return false; + } + let (mut ta, mut tb) = (String::new(), String::new()); + a.write_proj(&mut ta); + b.write_proj(&mut tb); + same_tokens(&ta, &tb) + } + (Some(_), None) | (None, Some(_)) => false, + } +} + +/// Whether two PROJ parameter lists hold the same keys in the same order, +/// with numeric values within tolerance and other values equal. +fn same_tokens(a: &str, b: &str) -> bool { + let mut ia = a.split_whitespace(); + let mut ib = b.split_whitespace(); + loop { + match (ia.next(), ib.next()) { + (None, None) => return true, + (Some(x), Some(y)) => { + let (kx, vx) = x.split_once('=').unwrap_or((x, "")); + let (ky, vy) = y.split_once('=').unwrap_or((y, "")); + if kx != ky { + return false; + } + let equal = match (vx.parse::(), vy.parse::()) { + (Ok(nx), Ok(ny)) => close(nx, ny), + _ => vx == vy, + }; + if !equal { + return false; + } + } + (Some(_), None) | (None, Some(_)) => return false, + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_crs::{CustomCrsSet, parse_proj_string}; + + #[test] + fn a_builtin_matches_itself() { + let ctx = CrsContext::builtin_only(); + let srid = Srid::new(32650).unwrap(); + let def = ctx.resolve(srid).unwrap(); + assert_eq!(match_registered(&def, &ctx).ok(), Some(srid)); + } + + /// A definition with no built-in twin matches the user-defined CRS of + /// the context that equals it. + #[test] + fn a_custom_definition_matches_its_code() { + let custom = Srid::new(910_042).unwrap(); + let proj = "+proj=tmerc +lat_0=0 +lon_0=101.25 +k=0.99991 +x_0=123456 +y_0=0 \ + +ellps=GRS80 +units=m"; + let mut set = CustomCrsSet::new(); + set.define(parse_proj_string(custom, "custom tm", proj).unwrap()) + .unwrap(); + let ctx = CrsContext::new(&set); + let decoded = parse_proj_string(Srid::new(910_000).unwrap(), "decoded", proj).unwrap(); + assert_eq!(match_registered(&decoded, &ctx).ok(), Some(custom)); + let builtin_only = CrsContext::builtin_only(); + assert!(matches!( + match_registered(&decoded, &builtin_only), + Err(RasterError::UnmatchedUserCrs { .. }) + )); + } + + #[test] + fn tokens_compare_numbers_with_tolerance() { + assert!(same_tokens("+proj=sinu +lon_0=0", "+proj=sinu +lon_0=0.0")); + assert!(same_tokens("+k=0.9996", "+k=0.99960000000001")); + assert!(!same_tokens("+k=0.9996", "+k=0.9997")); + assert!(!same_tokens("+proj=sinu", "+proj=tmerc")); + } +} diff --git a/nodedb-raster/src/crs/srid.rs b/nodedb-raster/src/crs/srid.rs new file mode 100644 index 000000000..64d8a4399 --- /dev/null +++ b/nodedb-raster/src/crs/srid.rs @@ -0,0 +1,403 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The CRS the GeoKey directory names, and its SRID. +//! +//! A projected model (1) reads `ProjectedCRSGeoKey` (3072), a geographic +//! model (2) reads `GeodeticCRSGeoKey` (2048). With no model key, 3072 wins +//! over 2048. An EPSG code resolves through the [`CrsContext`]. A +//! user-defined CRS (32767) decodes from its parameter keys and maps to the +//! registered CRS with the same projection, ellipsoid, unit and datum: a +//! live user-defined CRS of the context, or a built-in CRS. + +use nodedb_crs::CrsContext; +use nodedb_types::geometry::Srid; + +use super::registry_match::match_registered; +use super::units::{UNDEFINED, USER_DEFINED}; +use super::user_defined::decode_user_crs; +use crate::error::RasterError; +use crate::header::{CrsRef, UserDefinedCrs}; +use crate::tiff::geokeys::{GEOGRAPHIC_TYPE, GT_MODEL_TYPE, GeoKeyDirectory, PROJECTED_CS_TYPE}; + +const MODEL_PROJECTED: u16 = 1; +const MODEL_GEOGRAPHIC: u16 = 2; + +/// The CRS the GeoKeys name. A model type or CRS key the directory cannot +/// name a CRS with is an error here; codes resolve later. +pub fn crs_ref_from_geokeys(keys: Option<&GeoKeyDirectory>) -> Result { + let Some(keys) = keys else { + return Ok(CrsRef::None); + }; + let key = match keys.short(GT_MODEL_TYPE) { + Some(MODEL_PROJECTED) => PROJECTED_CS_TYPE, + Some(MODEL_GEOGRAPHIC) => GEOGRAPHIC_TYPE, + Some(model) => return Err(RasterError::UnsupportedModelType { model }), + None if keys.short(PROJECTED_CS_TYPE).is_some() => PROJECTED_CS_TYPE, + None if keys.short(GEOGRAPHIC_TYPE).is_some() => GEOGRAPHIC_TYPE, + None => return Ok(CrsRef::None), + }; + let model = keys.short(GT_MODEL_TYPE).unwrap_or(UNDEFINED); + match keys.short(key) { + None | Some(UNDEFINED) => Err(RasterError::MissingCrsKey { model, key }), + Some(USER_DEFINED) => Ok(CrsRef::UserDefined(Box::new(UserDefinedCrs { + keys: keys.clone(), + projected: key == PROJECTED_CS_TYPE, + }))), + Some(code) => Ok(CrsRef::Epsg(u32::from(code))), + } +} + +/// The SRID `crs` resolves to in `ctx`, or `None` when it names no CRS. +pub fn resolve_crs(crs: &CrsRef, ctx: &CrsContext<'_>) -> Result, RasterError> { + match crs { + CrsRef::None => Ok(None), + CrsRef::Epsg(code) => Ok(Some(ctx.resolve_u32(*code)?)), + CrsRef::UserDefined(user) => { + let def = decode_user_crs(&user.keys, user.projected, ctx)?; + match_registered(&def, ctx).map(Some) + } + } +} + +/// The SRID the GeoKeys name, or `None` when they name no CRS. +pub fn srid_from_geokeys( + keys: Option<&GeoKeyDirectory>, + ctx: &CrsContext<'_>, +) -> Result, RasterError> { + resolve_crs(&crs_ref_from_geokeys(keys)?, ctx) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::tiff::geokeys::{ + ELLIPSOID, GEODETIC_DATUM, INV_FLATTENING, PROJ_CENTER_LONG, PROJ_FALSE_EASTING, + PROJ_FALSE_NORTHING, PROJ_LINEAR_UNITS, PROJ_METHOD, PROJ_NAT_ORIGIN_LAT, + PROJ_NAT_ORIGIN_LONG, PROJ_SCALE_AT_NAT_ORIGIN, PROJECTION, SEMI_MAJOR_AXIS, + SEMI_MINOR_AXIS, + }; + use nodedb_crs::UnknownSrid; + + const DOUBLE_PARAMS_TAG: u16 = 34736; + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + + fn ctx() -> CrsContext<'static> { + CrsContext::builtin_only() + } + + fn keys(entries: &[(u16, u16)]) -> GeoKeyDirectory { + with_doubles(entries, &[]) + } + + /// A directory of inline short keys and double keys, sorted by key. + fn with_doubles(shorts: &[(u16, u16)], doubles: &[(u16, f64)]) -> GeoKeyDirectory { + let mut all: Vec<(u16, u16, u16)> = shorts.iter().map(|(k, v)| (*k, 0, *v)).collect(); + let mut values = Vec::new(); + for (key, value) in doubles { + let offset = u16::try_from(values.len()).expect("few doubles"); + values.push(*value); + all.push((*key, DOUBLE_PARAMS_TAG, offset)); + } + all.sort_by_key(|(k, _, _)| *k); + let count = u16::try_from(all.len()).expect("few keys"); + let mut dir = vec![1, 1, 0, count]; + for (key, location, value) in all { + dir.extend([key, location, 1, value]); + } + GeoKeyDirectory::parse(&dir, Some(&values), None).expect("valid directory") + } + + #[test] + fn no_directory_is_no_crs() { + assert_eq!(srid_from_geokeys(None, &ctx()).ok(), Some(None)); + } + + #[test] + fn projected_model_reads_3072() { + let dir = keys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 32650)]); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(srid(32650))) + ); + } + + #[test] + fn geographic_model_reads_2048() { + let dir = keys(&[(GT_MODEL_TYPE, 2), (GEOGRAPHIC_TYPE, 4742)]); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(srid(4742))) + ); + } + + #[test] + fn model_key_picks_the_crs_key() { + let dir = keys(&[ + (GT_MODEL_TYPE, 2), + (GEOGRAPHIC_TYPE, 4326), + (PROJECTED_CS_TYPE, 32648), + ]); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(Srid::WGS84)) + ); + } + + #[test] + fn without_a_model_key_3072_wins() { + let dir = keys(&[(GEOGRAPHIC_TYPE, 4326), (PROJECTED_CS_TYPE, 3375)]); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(srid(3375))) + ); + let none = keys(&[(1025, 1)]); + assert_eq!(srid_from_geokeys(Some(&none), &ctx()).ok(), Some(None)); + } + + #[test] + fn unmappable_crs_are_typed_errors() { + let geocentric = keys(&[(GT_MODEL_TYPE, 3)]); + assert!(matches!( + srid_from_geokeys(Some(&geocentric), &ctx()), + Err(RasterError::UnsupportedModelType { model: 3 }) + )); + let missing = keys(&[(GT_MODEL_TYPE, 1)]); + assert!(matches!( + srid_from_geokeys(Some(&missing), &ctx()), + Err(RasterError::MissingCrsKey { + model: 1, + key: 3072 + }) + )); + let undefined = keys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 999)]); + assert!(matches!( + srid_from_geokeys(Some(&undefined), &ctx()), + Err(RasterError::UnknownCrs(UnknownSrid::Undefined { + code: 999 + })) + )); + } + + /// The MODIS sinusoidal grid as GDAL writes it: user-defined projection, + /// datum and ellipsoid on the 6371007.181 m sphere. + #[test] + fn modis_sinusoidal_maps_to_its_nodedb_code() { + let dir = with_doubles( + &[ + (GT_MODEL_TYPE, 1), + (GEOGRAPHIC_TYPE, USER_DEFINED), + (GEODETIC_DATUM, USER_DEFINED), + (ELLIPSOID, USER_DEFINED), + (PROJECTED_CS_TYPE, USER_DEFINED), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 24), + (PROJ_LINEAR_UNITS, 9001), + ], + &[ + (SEMI_MAJOR_AXIS, 6_371_007.181), + (SEMI_MINOR_AXIS, 6_371_007.181), + (PROJ_FALSE_EASTING, 0.0), + (PROJ_FALSE_NORTHING, 0.0), + (PROJ_CENTER_LONG, 0.0), + ], + ); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(Srid::MODIS_SINUSOIDAL)) + ); + } + + /// UTM zone 49N on WGS 84, spelled out as Transverse Mercator + /// parameters over the EPSG:4326 geographic CRS. + #[test] + fn user_defined_utm_49n_maps_to_32649() { + let dir = with_doubles( + &[ + (GT_MODEL_TYPE, 1), + (GEOGRAPHIC_TYPE, 4326), + (PROJECTED_CS_TYPE, USER_DEFINED), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 1), + (PROJ_LINEAR_UNITS, 9001), + ], + &[ + (PROJ_NAT_ORIGIN_LONG, 111.0), + (PROJ_NAT_ORIGIN_LAT, 0.0), + (PROJ_FALSE_EASTING, 500_000.0), + (PROJ_FALSE_NORTHING, 0.0), + (PROJ_SCALE_AT_NAT_ORIGIN, 0.9996), + ], + ); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(srid(32649))) + ); + } + + /// UTM zone 49N parameters as GeoKeys, over `datum_keys`. + fn utm_49n_over(datum_keys: &[(u16, u16)]) -> GeoKeyDirectory { + let mut shorts = vec![ + (GT_MODEL_TYPE, 1), + (GEOGRAPHIC_TYPE, USER_DEFINED), + (PROJECTED_CS_TYPE, USER_DEFINED), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 1), + (PROJ_LINEAR_UNITS, 9001), + ]; + shorts.extend_from_slice(datum_keys); + with_doubles( + &shorts, + &[ + (PROJ_NAT_ORIGIN_LONG, 111.0), + (PROJ_NAT_ORIGIN_LAT, 0.0), + (PROJ_FALSE_EASTING, 500_000.0), + (PROJ_FALSE_NORTHING, 0.0), + (PROJ_SCALE_AT_NAT_ORIGIN, 0.9996), + ], + ) + } + + /// The WGS 84 datum code picks WGS 84 / UTM zone 49N, never VN-2000 / + /// UTM zone 49N (3406) on the same ellipsoid. + #[test] + fn utm_49n_on_the_wgs84_datum_maps_to_32649() { + let dir = utm_49n_over(&[(GEODETIC_DATUM, 6326)]); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(srid(32649))) + ); + } + + /// Only the WGS 84 ellipsoid (7030) is known. SRGI2013 (9479), DGN95 + /// (23869) and WGS 84 (32649) all put UTM zone 49N on that ellipsoid + /// with a null shift, so the file names no single datum and the match + /// is refused. VN-2000 (3406) carries a shift and is never accepted. + #[test] + fn utm_49n_on_the_wgs84_ellipsoid_alone_is_ambiguous() { + let dir = utm_49n_over(&[(GEODETIC_DATUM, USER_DEFINED), (ELLIPSOID, 7030)]); + let Err(RasterError::AmbiguousUserCrs { + proj, + first, + second, + }) = srid_from_geokeys(Some(&dir), &ctx()) + else { + panic!("expected an ambiguous user CRS"); + }; + assert!(proj.contains("+proj=tmerc"), "{proj}"); + for code in [first.code(), second.code()] { + assert_ne!(code, 3406); + assert!([9479, 23869, 32649].contains(&code), "{code}"); + } + } + + /// A geographic CRS on the WGS 84 ellipsoid alone is refused, never + /// mapped to Moznet (4130): Moznet, Hartebeesthoek94 (4148), WGS 84 + /// (4326) and others share that ellipsoid with a null shift. + #[test] + fn geographic_wgs84_ellipsoid_alone_is_ambiguous() { + let dir = keys(&[ + (GT_MODEL_TYPE, 2), + (GEOGRAPHIC_TYPE, USER_DEFINED), + (GEODETIC_DATUM, USER_DEFINED), + (ELLIPSOID, 7030), + ]); + match srid_from_geokeys(Some(&dir), &ctx()) { + Err(RasterError::AmbiguousUserCrs { first, second, .. }) => { + assert_eq!((first.code(), second.code()), (4130, 4148)); + } + other => panic!("expected an ambiguous user CRS, got {other:?}"), + } + let on_datum = keys(&[ + (GT_MODEL_TYPE, 2), + (GEOGRAPHIC_TYPE, USER_DEFINED), + (GEODETIC_DATUM, 6326), + ]); + assert_eq!( + srid_from_geokeys(Some(&on_datum), &ctx()).ok(), + Some(Some(Srid::WGS84)) + ); + } + + /// A user-defined GeoKey CRS that equals a live user-defined CRS of the + /// context maps to that code. + #[test] + fn user_defined_crs_maps_to_a_custom_definition() { + let custom = srid(910_777); + let mut set = nodedb_crs::CustomCrsSet::new(); + set.define( + nodedb_crs::parse_proj_string( + custom, + "custom sinusoidal", + "+proj=sinu +lon_0=17 +R=6371000 +units=m", + ) + .unwrap(), + ) + .unwrap(); + let dir = with_doubles( + &[ + (GT_MODEL_TYPE, 1), + (GEOGRAPHIC_TYPE, USER_DEFINED), + (GEODETIC_DATUM, USER_DEFINED), + (ELLIPSOID, USER_DEFINED), + (PROJECTED_CS_TYPE, USER_DEFINED), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 24), + ], + &[ + (SEMI_MAJOR_AXIS, 6_371_000.0), + (INV_FLATTENING, 0.0), + (PROJ_CENTER_LONG, 17.0), + ], + ); + assert_eq!( + srid_from_geokeys(Some(&dir), &CrsContext::new(&set)).ok(), + Some(Some(custom)) + ); + } + + /// The same zone through the EPSG conversion code 16049. + #[test] + fn utm_conversion_code_maps_to_32649() { + let dir = keys(&[ + (GT_MODEL_TYPE, 1), + (GEOGRAPHIC_TYPE, 4326), + (PROJECTED_CS_TYPE, USER_DEFINED), + (PROJECTION, 16049), + ]); + assert_eq!( + srid_from_geokeys(Some(&dir), &ctx()).ok(), + Some(Some(srid(32649))) + ); + } + + /// A user-defined CRS with no built-in twin names its PROJ text. + #[test] + fn unmatched_user_crs_names_its_proj_text() { + let dir = with_doubles( + &[ + (GT_MODEL_TYPE, 1), + (GEOGRAPHIC_TYPE, USER_DEFINED), + (GEODETIC_DATUM, USER_DEFINED), + (ELLIPSOID, USER_DEFINED), + (PROJECTED_CS_TYPE, USER_DEFINED), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 24), + ], + &[ + (SEMI_MAJOR_AXIS, 6_371_000.0), + (INV_FLATTENING, 0.0), + (PROJ_CENTER_LONG, 17.0), + ], + ); + let Err(RasterError::UnmatchedUserCrs { proj }) = srid_from_geokeys(Some(&dir), &ctx()) + else { + panic!("expected an unmatched user CRS"); + }; + assert!(proj.contains("+proj=sinu"), "{proj}"); + assert!(proj.contains("+lon_0=17"), "{proj}"); + assert!(proj.contains("+R=6371000"), "{proj}"); + } +} diff --git a/nodedb-raster/src/crs/units.rs b/nodedb-raster/src/crs/units.rs new file mode 100644 index 000000000..14933a1d3 --- /dev/null +++ b/nodedb-raster/src/crs/units.rs @@ -0,0 +1,94 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! GeoKey codes and units shared by the user-defined CRS decoder. + +use core::fmt::Write; + +use nodedb_crs::LinearUnit; + +use crate::error::RasterError; +use crate::tiff::geokeys::{GeoKeyDirectory, PROJ_LINEAR_UNIT_SIZE, PROJ_LINEAR_UNITS}; + +/// GeoKey value of a CRS, datum, ellipsoid or unit defined by parameters. +pub const USER_DEFINED: u16 = 32767; + +/// GeoKey value of an undefined code. +pub const UNDEFINED: u16 = 0; + +/// EPSG angle unit codes. +const RADIAN: u16 = 9101; +const DEGREE: u16 = 9102; +const GRAD: u16 = 9105; +const DEGREE_SUPPLIER: u16 = 9122; + +/// A key value that names an EPSG code: neither absent, undefined, nor +/// user-defined. +pub(super) fn epsg_code(value: Option) -> Option { + value.filter(|v| *v != UNDEFINED && *v != USER_DEFINED) +} + +/// Append formatted text. Writing to a `String` cannot fail. +pub(super) fn push(out: &mut String, args: core::fmt::Arguments<'_>) { + let _ = out.write_fmt(args); +} + +pub(super) fn unsupported(detail: String) -> RasterError { + RasterError::UnsupportedUserCrs { detail } +} + +/// An angle unit as degrees per unit. +#[derive(Debug, Clone, Copy)] +pub(super) struct AngleUnit(f64); + +impl AngleUnit { + /// The unit of `code_key`, or of `size_key` (radians per unit) when the + /// code is user-defined. Degrees when absent. + pub(super) fn of( + keys: &GeoKeyDirectory, + code_key: u16, + size_key: u16, + ) -> Result { + match keys.short(code_key) { + None | Some(DEGREE) | Some(DEGREE_SUPPLIER) => Ok(AngleUnit(1.0)), + Some(RADIAN) => Ok(AngleUnit(1.0_f64.to_degrees())), + Some(GRAD) => Ok(AngleUnit(0.9)), + Some(USER_DEFINED) => { + let radians = keys.double(size_key).ok_or_else(|| { + unsupported(format!( + "GeoKey {code_key} is 32767 but GeoKey {size_key} is absent" + )) + })?; + Ok(AngleUnit(radians.to_degrees())) + } + Some(code) => Err(unsupported(format!( + "angle unit {code} in GeoKey {code_key} is not supported; \ + supported: degree (9102, 9122), radian (9101), grad (9105)" + ))), + } + } + + pub(super) fn degrees(self, value: f64) -> f64 { + value * self.0 + } +} + +/// Metres per projected unit, from `ProjLinearUnitsGeoKey`. Metres when +/// absent. +pub(super) fn linear_unit(keys: &GeoKeyDirectory) -> Result { + match keys.short(PROJ_LINEAR_UNITS) { + None => Ok(1.0), + Some(USER_DEFINED) => keys.double(PROJ_LINEAR_UNIT_SIZE).ok_or_else(|| { + unsupported(format!( + "GeoKey {PROJ_LINEAR_UNITS} is 32767 but GeoKey {PROJ_LINEAR_UNIT_SIZE} is absent" + )) + }), + Some(code) => LinearUnit::by_epsg_code(code) + .map(|unit| unit.metres_per_unit) + .ok_or_else(|| { + unsupported(format!( + "length unit {code} is not supported; supported: metre (9001), \ + foot (9002), US survey foot (9003), kilometre (9036)" + )) + }), + } +} diff --git a/nodedb-raster/src/crs/user_defined.rs b/nodedb-raster/src/crs/user_defined.rs new file mode 100644 index 000000000..c73ba7944 --- /dev/null +++ b/nodedb-raster/src/crs/user_defined.rs @@ -0,0 +1,224 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A user-defined GeoTIFF CRS (GeoKey value 32767), decoded into a +//! [`CrsDef`] from its parameter keys (OGC GeoTIFF 1.1, Requirements +//! Classes GeodeticCRS and ProjectedCRS). +//! +//! The projection keys map to PROJ parameters, then the PROJ-string parser +//! builds the definition. The datum comes from the geodetic CRS code, the +//! datum code, or the ellipsoid keys. + +use nodedb_crs::registry::geographic_crs_on_datum; +use nodedb_crs::{CrsContext, CrsDef, Datum, DatumShift, Ellipsoid, parse_proj_string}; +use nodedb_types::geometry::Srid; + +use super::projection_keys::projection; +use super::units::{AngleUnit, USER_DEFINED, epsg_code, linear_unit, push, unsupported}; +use crate::error::RasterError; +use crate::tiff::geokeys::{ + ELLIPSOID, GEODETIC_DATUM, GEOG_ANGULAR_UNIT_SIZE, GEOG_ANGULAR_UNITS, GEOGRAPHIC_TYPE, + GeoKeyDirectory, INV_FLATTENING, PRIME_MERIDIAN, PRIME_MERIDIAN_LONGITUDE, SEMI_MAJOR_AXIS, + SEMI_MINOR_AXIS, +}; + +/// The SRID a decoded definition holds until it matches a built-in CRS: +/// the first code of the user range. The definition is never stored under +/// it. +const UNASSIGNED: Srid = Srid::known(Srid::USER_FIRST); + +/// Name of every decoded definition. +const NAME: &str = "GeoTIFF user-defined CRS"; + +/// EPSG prime meridian code of Greenwich. +const GREENWICH: u16 = 8901; + +/// Decode the user-defined CRS of `keys`: projected when `projected`, else +/// geographic. An EPSG geodetic CRS code resolves through `ctx`. +pub fn decode_user_crs( + keys: &GeoKeyDirectory, + projected: bool, + ctx: &CrsContext<'_>, +) -> Result { + let angle = AngleUnit::of(keys, GEOG_ANGULAR_UNITS, GEOG_ANGULAR_UNIT_SIZE)?; + let datum = geodetic_datum(keys, angle, ctx)?; + let mut proj = String::new(); + if projected { + let unit = linear_unit(keys)?; + projection(keys, angle, unit, &mut proj)?; + push(&mut proj, format_args!(" +to_meter={unit}")); + } else { + proj.push_str("+proj=longlat"); + } + write_ellipsoid(&mut proj, &datum.ellipsoid); + let mut def = parse_proj_string(UNASSIGNED, NAME, &proj)?; + def.datum = datum; + Ok(def) +} + +fn write_ellipsoid(out: &mut String, e: &Ellipsoid) { + if e.is_sphere() { + push(out, format_args!(" +R={}", e.a)); + } else { + push(out, format_args!(" +a={} +rf={}", e.a, e.inv_f)); + } +} + +/// The datum: from an EPSG geodetic CRS code, else an EPSG datum code, +/// else the ellipsoid and prime meridian keys with no known shift. +fn geodetic_datum( + keys: &GeoKeyDirectory, + angle: AngleUnit, + ctx: &CrsContext<'_>, +) -> Result { + if let Some(code) = epsg_code(keys.short(GEOGRAPHIC_TYPE)) { + let srid = ctx.resolve_u32(u32::from(code))?; + return Ok(ctx.resolve(srid)?.datum); + } + if let Some(code) = epsg_code(keys.short(GEODETIC_DATUM)) { + return datum_by_code(code, ctx); + } + Ok(Datum { + ellipsoid: ellipsoid(keys)?, + prime_meridian_deg: prime_meridian(keys, angle)?, + to_wgs84: DatumShift::Identity, + epsg_code: None, + }) +} + +/// The datum of the lowest-coded built-in geographic CRS on EPSG datum +/// `code`. +fn datum_by_code(code: u16, ctx: &CrsContext<'_>) -> Result { + let srid = geographic_crs_on_datum(u32::from(code)).ok_or_else(|| { + unsupported(format!( + "datum {code} in GeoKey {GEODETIC_DATUM} has no built-in geographic CRS" + )) + })?; + Ok(ctx.resolve(srid)?.datum) +} + +/// The ellipsoid: an EPSG code from the table, else the axis keys. +fn ellipsoid(keys: &GeoKeyDirectory) -> Result { + if let Some(code) = epsg_code(keys.short(ELLIPSOID)) { + return Ellipsoid::by_epsg_code(code).ok_or_else(|| { + unsupported(format!( + "ellipsoid {code} in GeoKey {ELLIPSOID} is not supported" + )) + }); + } + let a = keys + .double(SEMI_MAJOR_AXIS) + .filter(|a| a.is_finite() && *a > 0.0) + .ok_or_else(|| { + unsupported(format!( + "GeoKey {SEMI_MAJOR_AXIS} is absent or not positive" + )) + })?; + if let Some(rf) = keys.double(INV_FLATTENING) { + return Ok(if rf == 0.0 { + Ellipsoid::sphere(a) + } else { + Ellipsoid { a, inv_f: rf } + }); + } + match keys.double(SEMI_MINOR_AXIS) { + Some(b) if b == a => Ok(Ellipsoid::sphere(a)), + Some(b) if b.is_finite() && b > 0.0 && b < a => Ok(Ellipsoid { + a, + inv_f: a / (a - b), + }), + _ => Err(unsupported(format!( + "GeoKey {SEMI_MAJOR_AXIS} needs GeoKey {INV_FLATTENING} or a smaller GeoKey {SEMI_MINOR_AXIS}" + ))), + } +} + +/// The prime meridian, degrees east of Greenwich. +fn prime_meridian(keys: &GeoKeyDirectory, angle: AngleUnit) -> Result { + match keys.short(PRIME_MERIDIAN) { + None | Some(GREENWICH) => Ok(0.0), + Some(USER_DEFINED) => Ok(keys + .double(PRIME_MERIDIAN_LONGITUDE) + .map_or(0.0, |v| angle.degrees(v))), + Some(code) => Err(unsupported(format!( + "prime meridian {code} in GeoKey {PRIME_MERIDIAN} is not supported; \ + supported: Greenwich (8901), user-defined (32767)" + ))), + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::tiff::geokeys::{ + PROJ_FALSE_EASTING, PROJ_LINEAR_UNITS, PROJ_METHOD, PROJ_NAT_ORIGIN_LONG, PROJECTION, + }; + + const DOUBLE_PARAMS_TAG: u16 = 34736; + + fn directory(shorts: &[(u16, u16)], doubles: &[(u16, f64)]) -> GeoKeyDirectory { + let mut all: Vec<(u16, u16, u16)> = shorts.iter().map(|(k, v)| (*k, 0, *v)).collect(); + let mut values = Vec::new(); + for (key, value) in doubles { + let offset = u16::try_from(values.len()).expect("few doubles"); + values.push(*value); + all.push((*key, DOUBLE_PARAMS_TAG, offset)); + } + all.sort_by_key(|(k, _, _)| *k); + let count = u16::try_from(all.len()).expect("few keys"); + let mut dir = vec![1, 1, 0, count]; + for (key, location, value) in all { + dir.extend([key, location, 1, value]); + } + GeoKeyDirectory::parse(&dir, Some(&values), None).expect("valid directory") + } + + #[test] + fn feet_convert_false_easting_to_metres() { + let dir = directory( + &[ + (GEOGRAPHIC_TYPE, 4326), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 1), + (PROJ_LINEAR_UNITS, 9002), + ], + &[(PROJ_FALSE_EASTING, 1000.0), (PROJ_NAT_ORIGIN_LONG, 111.0)], + ); + let def = decode_user_crs(&dir, true, &CrsContext::builtin_only()).unwrap(); + let text = def.to_proj_string().unwrap(); + assert!(text.contains("+x_0=304.8"), "{text}"); + assert!(text.contains("+units=ft"), "{text}"); + } + + #[test] + fn ellipsoid_from_axes() { + let dir = directory( + &[ + (GEOGRAPHIC_TYPE, USER_DEFINED), + (GEODETIC_DATUM, USER_DEFINED), + ], + &[ + (SEMI_MAJOR_AXIS, 6_378_137.0), + (INV_FLATTENING, 298.257_222_101), + ], + ); + let def = decode_user_crs(&dir, false, &CrsContext::builtin_only()).unwrap(); + assert!(def.is_geographic()); + assert_eq!(def.datum.ellipsoid, Ellipsoid::GRS80); + } + + #[test] + fn unknown_method_is_refused() { + let dir = directory( + &[ + (GEOGRAPHIC_TYPE, 4326), + (PROJECTION, USER_DEFINED), + (PROJ_METHOD, 19), + ], + &[], + ); + assert!(matches!( + decode_user_crs(&dir, true, &CrsContext::builtin_only()), + Err(RasterError::UnsupportedUserCrs { .. }) + )); + } +} diff --git a/nodedb-raster/src/error.rs b/nodedb-raster/src/error.rs index db090436d..f8087178d 100644 --- a/nodedb-raster/src/error.rs +++ b/nodedb-raster/src/error.rs @@ -1,34 +1,65 @@ // SPDX-License-Identifier: Apache-2.0 -//! Typed errors of the GeoTIFF reader. +//! Typed errors of the raster readers. use std::io; -use nodedb_types::geometry::UnsupportedSrid; -use tiff::TiffError; +use nodedb_crs::{CrsParseError, UnknownSrid}; -use crate::geokeys::GeoKeyError; +use crate::codec::error::CodecError; use crate::sample::SampleFormatCode; +use crate::source::range::ByteRange; +use crate::tiff::error::{TiffFormatError, UnsupportedTiff}; +use crate::tiff::geokeys::GeoKeyError; -/// Every way opening or decoding a GeoTIFF can fail. +/// Every way opening or decoding a raster can fail. #[derive(Debug, thiserror::Error)] pub enum RasterError { - /// The underlying reader failed for a reason outside the file's bytes. - #[error("GeoTIFF read failed: {0}")] - Io(#[source] io::Error), + /// The byte source failed for a reason outside the file's bytes. + #[error("raster read failed: {0}")] + Io(#[from] io::Error), /// The bytes do not form a valid TIFF: truncated, corrupt, or /// self-contradictory. #[error("malformed TIFF: {0}")] - Malformed(#[source] TiffError), + Malformed(#[from] TiffFormatError), + + /// A compressed chunk does not decode. + #[error("corrupt compressed block: {0}")] + Codec(#[from] CodecError), /// The TIFF is valid, but it uses a feature the decoder does not read. #[error("unsupported TIFF feature: {0}")] - UnsupportedTiff(#[source] TiffError), + UnsupportedTiff(#[from] UnsupportedTiff), + + /// The byte source has no object with this id. + #[error("raster source object {object} does not exist")] + SourceMissing { object: u32 }, + + /// A source returned more bytes than the range asked for. + #[error("raster source returned {got} bytes for the {len}-byte range {range:?}")] + RangeOverrun { + range: ByteRange, + len: u64, + got: usize, + }, - /// One block decodes to more bytes than the caller allows. + /// The header ranges an open needs exceed the header byte cap. #[error( - "GeoTIFF block needs {needed_bytes} decoded bytes, over the {limit_bytes}-byte limit; \ + "raster header data exceeds the {limit_bytes}-byte header cap; \ + the file has too many blocks or too large tag values" + )] + HeaderTooLarge { limit_bytes: usize }, + + /// An open asked for ranges it already holds, or kept asking past the + /// round cap. + #[error("raster open made no progress after {rounds} fetch rounds")] + OpenStalled { rounds: usize }, + + /// One block decodes to more bytes than the caller allows, or one + /// compressed chunk is larger than that cap. + #[error( + "raster block needs {needed_bytes} bytes, over the {limit_bytes}-byte limit; \ rewrite the file with smaller strips or tiles" )] BlockTooLarge { @@ -36,54 +67,47 @@ pub enum RasterError { limit_bytes: usize, }, - /// An IFD 0 tag value ends past the end of the file or exceeds the - /// tag value cap. - #[error( - "GeoTIFF tag {tag} declares a {bytes}-byte value, past the {file_len}-byte file \ - or over the tag value cap" - )] - TagValueOutOfBounds { tag: u16, bytes: u64, file_len: u64 }, - - /// The tiff decoder hit its own buffer limit. - #[error("GeoTIFF decode exceeds the {limit_bytes}-byte buffer limit")] - DecodeLimitExceeded { limit_bytes: usize }, + /// A tag value exceeds the tag value cap. + #[error("TIFF tag {tag} declares a {bytes}-byte value, over the {limit_bytes}-byte cap")] + TagValueTooLarge { + tag: u16, + bytes: u64, + limit_bytes: usize, + }, - /// The compression method is not deflate, LZW, PackBits, or none. + /// The compression method has no decoder. #[error( - "GeoTIFF compression code {code} is not supported; \ - supported: none (1), LZW (5), deflate (8, 32946), PackBits (32773)" + "TIFF compression code {code} is not supported; supported: none (1), LZW (5), \ + JPEG (7), deflate (8, 32946), PackBits (32773), LERC (34887), ZSTD (50000)" )] UnsupportedCompression { code: u16 }, - /// The sample format and width are outside u8, u16, i16, u32, f32, f64. + /// The sample format and width are outside the supported types. #[error( - "GeoTIFF samples of format {format} with {bits} bits are not supported; \ - supported: u8, u16, i16, u32, f32, f64" + "TIFF samples of format {format} with {bits} bits are not supported; \ + supported: u8, i8, u16, i16, u32, i32, f32, f64" )] - UnsupportedSampleType { format: SampleFormatCode, bits: u8 }, + UnsupportedSampleType { format: SampleFormatCode, bits: u16 }, /// The photometric interpretation transforms samples on decode, or /// stores palette indexes. #[error( - "GeoTIFF photometric interpretation {code} is not supported; \ - supported: BlackIsZero (1), RGB (2), CMYK (5), YCbCr (6)" + "TIFF photometric interpretation {code} is not supported; supported: \ + BlackIsZero (1), RGB (2), CMYK (5), YCbCr (6) with JPEG or without subsampling" )] UnsupportedPhotometric { code: u16 }, - /// A chunky pixel decodes to fewer samples than the file stores. - #[error( - "GeoTIFF stores {samples} samples per pixel, but its color type decodes {decoded}; \ - write the extra bands as BlackIsZero multiband" - )] - UnsupportedBandLayout { samples: u16, decoded: u16 }, - - /// IFD 0 is an overview, so the full-resolution image is elsewhere. + /// The first image of the IFD chain is an overview. #[error( - "GeoTIFF IFD 0 is a reduced-resolution image; \ + "TIFF first image is a reduced-resolution image; \ the full-resolution image must be the first IFD" )] ReducedResolutionFirstImage, + /// The caller selected an image the file does not hold. + #[error("TIFF image {index} is out of range; the file has {count} images")] + ImageOutOfRange { index: u32, count: u32 }, + /// The GeoKey directory does not parse. #[error("malformed GeoKey directory: {0}")] GeoKeys(#[from] GeoKeyError), @@ -129,55 +153,67 @@ pub enum RasterError { #[error("GeoTIFF model type {model} needs GeoKey {key}, which is absent")] MissingCrsKey { model: u16, key: u16 }, - /// The CRS is user-defined, so no EPSG code names it. - #[error("GeoTIFF CRS is user-defined (GeoKey {key} = 32767); only EPSG codes are supported")] - UserDefinedCrs { key: u16 }, - - /// The CRS EPSG code is outside the supported set. + /// The CRS code names no defined CRS. #[error("GeoTIFF CRS: {0}")] - UnsupportedCrs(#[from] UnsupportedSrid), + UnknownCrs(#[from] UnknownSrid), + + /// A user-defined CRS (GeoKey value 32767) uses a GeoKey value the + /// decoder does not read. + #[error("GeoTIFF user-defined CRS: {detail}")] + UnsupportedUserCrs { detail: String }, + + /// A user-defined CRS decodes to PROJ text the CRS parser refuses. + #[error("GeoTIFF user-defined CRS: {0}")] + UserCrsParse(#[from] CrsParseError), - /// GDAL_NODATA is not a number. - #[error("GeoTIFF GDAL_NODATA '{text}' is not a number")] + /// A user-defined CRS matches no registered CRS by projection, + /// ellipsoid, unit and datum. + #[error( + "GeoTIFF user-defined CRS matches no registered CRS: {proj}; \ + define it with CREATE SPATIAL_REF_SYS and load again" + )] + UnmatchedUserCrs { proj: String }, + + /// A user-defined CRS names an ellipsoid but no datum, and registered + /// CRSs of its shape sit on more than one datum. + #[error( + "GeoTIFF user-defined CRS {proj} names no datum and matches CRSs on different \ + datums, SRID {first} and SRID {second}; write the datum code into the file, \ + or define the CRS with CREATE SPATIAL_REF_SYS and load again" + )] + AmbiguousUserCrs { + proj: String, + first: nodedb_crs::Srid, + second: nodedb_crs::Srid, + }, + + /// A nodata value (`GDAL_NODATA` or a `GDAL_METADATA` item) is not a + /// number. + #[error("raster nodata '{text}' is not a number")] InvalidNodata { text: String }, + /// A `GDAL_METADATA` band number or numeric item does not parse. + #[error("GDAL_METADATA item '{name}' holds '{text}', which is not a valid value")] + InvalidMetadata { name: String, text: String }, + /// The caller asked for a block the image does not have. - #[error("GeoTIFF block {index} is out of range; the image has {count} blocks")] + #[error("raster block {index} is out of range; the image has {count} blocks")] BlockOutOfRange { index: u32, count: u32 }, - /// The decoder returned fewer samples than the block holds. - #[error("GeoTIFF block {index} decoded {found} samples, expected at least {expected}")] - ShortBlock { + /// The caller passed a different number of byte buffers than + /// `block_ranges` returned. + #[error("raster block {index} got {found} byte buffers, expected {expected}")] + BlockBuffers { index: u32, found: usize, expected: usize, }, -} - -impl RasterError { - /// Classify a tiff decoder error. `limit_bytes` is the buffer cap the - /// decoder ran under. - pub(crate) fn from_tiff(error: TiffError, limit_bytes: usize) -> Self { - match error { - TiffError::IoError(io) => RasterError::from(io), - TiffError::UnsupportedError(_) => RasterError::UnsupportedTiff(error), - TiffError::LimitsExceeded => RasterError::DecodeLimitExceeded { limit_bytes }, - TiffError::FormatError(_) | TiffError::IntSizeError | TiffError::UsageError(_) => { - RasterError::Malformed(error) - } - } - } -} -impl From for RasterError { - /// A short or undecodable stream is a malformed file. Every other kind - /// is a reader error. - fn from(error: io::Error) -> Self { - match error.kind() { - io::ErrorKind::UnexpectedEof - | io::ErrorKind::InvalidData - | io::ErrorKind::InvalidInput => RasterError::Malformed(TiffError::IoError(error)), - _ => RasterError::Io(error), - } - } + /// A block decoded to fewer samples than it holds. + #[error("raster block {index} decoded {found} bytes, expected at least {expected}")] + ShortBlock { + index: u32, + found: usize, + expected: usize, + }, } diff --git a/nodedb-raster/src/header.rs b/nodedb-raster/src/header.rs new file mode 100644 index 000000000..269afa844 --- /dev/null +++ b/nodedb-raster/src/header.rs @@ -0,0 +1,100 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! What a raster's header says: grid size, outer dims, bands, georeference. + +use nodedb_crs::{CrsContext, GeoTransform}; +use nodedb_types::geometry::Srid; + +use crate::crs::srid::resolve_crs; +use crate::error::RasterError; +use crate::sample::SampleType; +use crate::tiff::geokeys::GeoKeyDirectory; + +/// A dimension outside the 2D grid, such as time or a band axis of a +/// multi-dimensional format. A TIFF has none. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct OuterDim { + pub name: String, + pub len: u64, +} + +/// One band: its sample type and the value metadata the file declares. +#[derive(Debug, Clone, PartialEq)] +pub struct BandInfo { + /// The band name or description, when the file gives one. + pub name: Option, + pub sample_type: SampleType, + /// The sample value that means "no data". + pub nodata: Option, + /// Physical value = `sample * scale + offset`. + pub scale: Option, + pub offset: Option, + /// Inclusive valid sample range `(min, max)`. + pub valid_range: Option<(f64, f64)>, + /// The unit of the physical value. + pub units: Option, +} + +impl BandInfo { + /// A band of `sample_type` with no metadata. + pub const fn plain(sample_type: SampleType) -> Self { + Self { + name: None, + sample_type, + nodata: None, + scale: None, + offset: None, + valid_range: None, + units: None, + } + } +} + +/// A user-defined GeoTIFF CRS (GeoKey value 32767): the directory its +/// parameters decode from. +#[derive(Debug, Clone, PartialEq)] +pub struct UserDefinedCrs { + pub keys: GeoKeyDirectory, + /// True for a projected CRS, false for a geographic one. + pub projected: bool, +} + +/// The CRS a raster names, before it resolves against a CRS context. +#[derive(Debug, Clone, PartialEq)] +pub enum CrsRef { + /// The file names no CRS. + None, + /// An EPSG code. + Epsg(u32), + /// A CRS defined by parameters. + UserDefined(Box), +} + +impl CrsRef { + /// The SRID this CRS resolves to in `ctx`, or `None` when the file + /// names no CRS. + pub fn resolve(&self, ctx: &CrsContext<'_>) -> Result, RasterError> { + resolve_crs(self, ctx) + } +} + +/// The header of one raster image. +#[derive(Debug, Clone, PartialEq)] +pub struct RasterHeader { + pub width: u32, + pub height: u32, + /// Dims outside the 2D grid, outermost first. + pub outer: Vec, + pub bands: Vec, + /// The GDAL-order pixel-corner geotransform. `None` when the file has + /// none. + pub transform: Option, + pub crs: CrsRef, +} + +impl RasterHeader { + /// The band count. + pub fn band_count(&self) -> usize { + self.bands.len() + } +} diff --git a/nodedb-raster/src/layout.rs b/nodedb-raster/src/layout.rs index 7db3bf692..3848b279b 100644 --- a/nodedb-raster/src/layout.rs +++ b/nodedb-raster/src/layout.rs @@ -1,22 +1,11 @@ // SPDX-License-Identifier: Apache-2.0 -//! The block grid of IFD 0: image size, band layout, and strip or tile -//! geometry, read once at open. - -use std::io::{Read, Seek}; - -use tiff::decoder::{ChunkType, Decoder}; -use tiff::tags::{SampleFormat, Tag}; +//! The block grid of one image: size, band layout, and strip or tile +//! geometry. use crate::error::RasterError; use crate::sample::SampleType; -/// `PlanarConfiguration` value of band-separate storage. -const PLANAR_SEPARATE: u16 = 2; -/// Photometric interpretations whose samples decode unchanged: -/// BlackIsZero, RGB, CMYK, YCbCr. -const RAW_PHOTOMETRICS: [u16; 4] = [1, 2, 5, 6]; - /// How a raster stores its blocks. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub enum BlockKind { @@ -37,8 +26,11 @@ pub enum Interleave { /// The pixel rectangle one block covers. Edge blocks are cropped to the /// image. -#[derive(Debug, Clone, Copy, PartialEq, Eq)] +#[derive(Debug, Clone, PartialEq, Eq)] pub struct BlockWindow { + /// The block's index along each outer dim, outermost first. Empty for + /// a 2D raster. + pub outer: Vec, pub col_off: u32, pub row_off: u32, pub width: u32, @@ -70,80 +62,18 @@ pub struct RasterLayout { } impl RasterLayout { - /// Read the layout of the decoder's current image. - pub(crate) fn read( - decoder: &mut Decoder, - limit_bytes: usize, - ) -> Result { - let tiff = |e| RasterError::from_tiff(e, limit_bytes); - let photometric = decoder - .find_tag_unsigned::(Tag::PhotometricInterpretation) - .map_err(tiff)? - .unwrap_or(1); - if !RAW_PHOTOMETRICS.contains(&photometric) { - return Err(RasterError::UnsupportedPhotometric { code: photometric }); - } - let (width, height) = decoder.dimensions().map_err(tiff)?; - let color = decoder.colortype().map_err(tiff)?; - let bands = decoder - .find_tag_unsigned::(Tag::SamplesPerPixel) - .map_err(tiff)? - .unwrap_or(1); - let format = decoder - .find_tag_unsigned_vec::(Tag::SampleFormat) - .map_err(tiff)? - .and_then(|formats| formats.first().copied()) - .map_or(SampleFormat::Uint, SampleFormat::from_u16_exhaustive); - let sample_type = SampleType::from_tiff(format, color.bit_depth())?; - let interleave = match decoder - .find_tag_unsigned::(Tag::PlanarConfiguration) - .map_err(tiff)? - { - Some(PLANAR_SEPARATE) => Interleave::Planar, - _ => Interleave::Chunky, - }; - // A chunky pixel decodes to the color type's samples. Fewer than the - // file stores drops bands. - if interleave == Interleave::Chunky && color.num_samples() != bands { - return Err(RasterError::UnsupportedBandLayout { - samples: bands, - decoded: color.num_samples(), - }); - } - // The tiff decoder refuses a zero image size, tile size, and - // RowsPerStrip, so every block dimension here is at least 1. - let (stored_width, stored_height) = decoder.chunk_dimensions(); - let (kind, block_width, block_height) = match decoder.get_chunk_type() { - ChunkType::Strip => (BlockKind::Strips, width, stored_height.min(height)), - ChunkType::Tile => (BlockKind::Tiles, stored_width, stored_height), - }; - Ok(Self { - width, - height, - bands, - sample_type, - kind, - interleave, - block_width, - block_height, - blocks_across: width.div_ceil(block_width), - blocks_down: height.div_ceil(block_height), - }) - } - /// Blocks per band plane. pub fn block_count(&self) -> u32 { - // The tiff decoder checked that the chunk offsets, a u32-countable - // list, hold this many entries per plane. + // The TIFF layer checks at open that this product fits a u32. self.blocks_across.saturating_mul(self.blocks_down) } /// Decoded bytes of the largest block, across all bands. pub fn block_bytes(&self) -> u64 { u64::from(self.block_width) - * u64::from(self.block_height) - * u64::from(self.bands) - * self.sample_type.byte_len() as u64 + .saturating_mul(u64::from(self.block_height)) + .saturating_mul(u64::from(self.bands)) + .saturating_mul(self.sample_type.byte_len() as u64) } /// The window of block `index`, cropped to the image. @@ -155,6 +85,7 @@ impl RasterLayout { let col_off = (index % self.blocks_across) * self.block_width; let row_off = (index / self.blocks_across) * self.block_height; Ok(BlockWindow { + outer: Vec::new(), col_off, row_off, width: self.block_width.min(self.width - col_off), @@ -190,6 +121,7 @@ mod tests { assert_eq!( last, BlockWindow { + outer: Vec::new(), col_off: 32, row_off: 16, width: 8, diff --git a/nodedb-raster/src/lib.rs b/nodedb-raster/src/lib.rs index 04a966306..66275d128 100644 --- a/nodedb-raster/src/lib.rs +++ b/nodedb-raster/src/lib.rs @@ -1,31 +1,47 @@ // SPDX-License-Identifier: Apache-2.0 -//! Bounded GeoTIFF decoding for NodeDB array bulk loads. +//! Sans-IO raster decoding for NodeDB array bulk loads. //! -//! [`GeoTiffReader`] opens IFD 0 of a GeoTIFF and decodes it one strip or -//! tile at a time into typed per-band samples, under a caller-given byte -//! cap. It reads the georeference (geotransform, CRS, `GDAL_NODATA`) from -//! the GeoTIFF tags. +//! A [`RasterOpener`] reads a raster header from a [`RangeCache`] and +//! names the byte ranges it needs next, so any transport (a local file, +//! HTTP range requests, an object store) can feed it. The resulting +//! [`RasterReader`] names each block's ranges and decodes the block from +//! the fetched bytes, under the caller's [`RasterLimits`]. The synchronous +//! driver in [`reader::driver`] answers both from a blocking source. +//! +//! [`TiffOpener`] reads classic TIFF and BigTIFF, cloud-optimised or not: +//! strips or tiles, chunky or planar bands, overviews, internal masks, +//! GeoKeys, `GDAL_NODATA` and `GDAL_METADATA`. Its codecs are pure Rust: +//! none, LZW, deflate, PackBits, ZSTD, JPEG and LERC, with the horizontal +//! and floating-point predictors. pub mod block; +pub mod codec; pub mod crs; pub mod error; -pub mod geokeys; +pub mod header; pub mod layout; pub mod limits; pub mod nodata; -mod preflight; pub mod reader; pub mod sample; -pub mod transform; +pub mod source; +pub mod tiff; pub use block::{BandSamples, RasterBlock}; pub use crs::srid_from_geokeys; pub use error::RasterError; -pub use geokeys::{GeoKeyDirectory, GeoKeyError, GeoKeyValue}; +pub use header::{BandInfo, CrsRef, OuterDim, RasterHeader, UserDefinedCrs}; pub use layout::{BlockKind, BlockWindow, Interleave, RasterLayout}; -pub use limits::RasterLimits; +pub use limits::{CapacityExceeded, DEFAULT_HEADER_BYTES, MAX_DECODE_CAPACITY, RasterLimits}; pub use nodata::parse_gdal_nodata; -pub use reader::GeoTiffReader; +pub use nodedb_crs::GeoTransform; +pub use reader::{ + Opened, RangeRead, RasterOpener, RasterReader, SliceSource, open_all, open_with, + read_block_all, read_block_with, +}; pub use sample::{SampleFormatCode, SampleType}; -pub use transform::{GeoTransform, ModelTags}; +pub use source::{ByteRange, COALESCE_GAP, Lookup, ObjectId, RangeCache, coalesce}; +pub use tiff::geokeys::{GeoKeyDirectory, GeoKeyError, GeoKeyValue}; +pub use tiff::transform::{ModelTags, transform_from_tags}; +pub use tiff::{TiffOpener, TiffReader}; diff --git a/nodedb-raster/src/limits.rs b/nodedb-raster/src/limits.rs index 0d5c5856d..282b87906 100644 --- a/nodedb-raster/src/limits.rs +++ b/nodedb-raster/src/limits.rs @@ -1,35 +1,65 @@ // SPDX-License-Identifier: Apache-2.0 -//! Memory caps the reader decodes under. +//! Memory caps the readers decode under. -use tiff::decoder::Limits; - -/// Largest out-of-line IFD 0 tag value: strip offsets, GeoKeys, GDAL_NODATA. +/// Largest single tag value other than the block index: GeoKeys, +/// `GDAL_METADATA`, `JPEGTables`, per-sample arrays. pub(crate) const MAX_TAG_VALUE_BYTES: usize = 1024 * 1024; -/// Caps on what one decode allocates. +/// Default cap on the header bytes an open caches: IFDs, tag values and +/// the block offset and byte count arrays. +pub const DEFAULT_HEADER_BYTES: usize = 32 * 1024 * 1024; + +/// Most elements one decode allocation reserves, whatever limits the +/// caller passes. A larger request comes from a hostile header or cap. +pub const MAX_DECODE_CAPACITY: usize = 1 << 30; + +/// A decode allocation over [`MAX_DECODE_CAPACITY`]. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +#[error("a decode allocation of {requested} elements is over the {limit}-element cap")] +pub struct CapacityExceeded { + pub requested: usize, + pub limit: usize, +} + +/// `len` as the capacity of one decode allocation, refused over +/// [`MAX_DECODE_CAPACITY`]. +pub(crate) fn checked_raster_capacity(len: usize) -> Result { + if len > MAX_DECODE_CAPACITY { + return Err(CapacityExceeded { + requested: len, + limit: MAX_DECODE_CAPACITY, + }); + } + Ok(len) +} + +/// Caps on what one open or one block decode allocates. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub struct RasterLimits { /// Most bytes one block decodes to, across all its bands. The same cap - /// bounds one compressed chunk read from the file. + /// bounds one compressed chunk read from the source. pub block_bytes: usize, + /// Most bytes an open caches from the source. + pub header_bytes: usize, } impl RasterLimits { - /// Limits with `block_bytes` as the per-block decoded byte cap. + /// Limits with `block_bytes` as the per-block cap and the default + /// header cap. pub const fn new(block_bytes: usize) -> Self { - Self { block_bytes } + Self { + block_bytes, + header_bytes: DEFAULT_HEADER_BYTES, + } } - /// The tiff decoder limits these caps imply. - pub(crate) fn tiff_limits(self) -> Limits { - // `Limits` is non-exhaustive: start from a constructor, then set - // every field this tiff version has. - let mut limits = Limits::unlimited(); - limits.decoding_buffer_size = self.block_bytes; - limits.intermediate_buffer_size = self.block_bytes; - limits.ifd_value_size = MAX_TAG_VALUE_BYTES; - limits + /// These limits with `header_bytes` as the header cap. + pub const fn with_header_bytes(self, header_bytes: usize) -> Self { + Self { + block_bytes: self.block_bytes, + header_bytes, + } } } @@ -38,10 +68,25 @@ mod tests { use super::*; #[test] - fn block_cap_bounds_decode_and_compressed_buffers() { - let limits = RasterLimits::new(4096).tiff_limits(); - assert_eq!(limits.decoding_buffer_size, 4096); - assert_eq!(limits.intermediate_buffer_size, 4096); - assert_eq!(limits.ifd_value_size, MAX_TAG_VALUE_BYTES); + fn new_keeps_the_block_cap_and_the_default_header_cap() { + let limits = RasterLimits::new(4096); + assert_eq!(limits.block_bytes, 4096); + assert_eq!(limits.header_bytes, DEFAULT_HEADER_BYTES); + assert_eq!(limits.with_header_bytes(10).header_bytes, 10); + } + + #[test] + fn capacity_over_the_ceiling_is_refused() { + assert_eq!( + checked_raster_capacity(MAX_DECODE_CAPACITY), + Ok(MAX_DECODE_CAPACITY) + ); + assert_eq!( + checked_raster_capacity(MAX_DECODE_CAPACITY + 1), + Err(CapacityExceeded { + requested: MAX_DECODE_CAPACITY + 1, + limit: MAX_DECODE_CAPACITY, + }) + ); } } diff --git a/nodedb-raster/src/preflight.rs b/nodedb-raster/src/preflight.rs deleted file mode 100644 index dbdedd83f..000000000 --- a/nodedb-raster/src/preflight.rs +++ /dev/null @@ -1,288 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! A bounds pass over the IFD 0 entry table before the tiff decoder reads -//! it. -//! -//! The tiff decoder reads IFD 0 under its default limits, before a caller -//! can set its own. It reserves a tag's value list from the entry's count. -//! This pass refuses any out-of-line value that is larger than -//! [`MAX_TAG_VALUE_BYTES`] or ends past the end of the file. So no tag -//! value allocation exceeds the file's own size. -//! -//! A header or entry table the pass cannot read is left to the tiff -//! decoder, which refuses it without a large allocation. - -use std::io::{self, Read, Seek, SeekFrom}; - -use crate::error::RasterError; -use crate::limits::MAX_TAG_VALUE_BYTES; - -const CLASSIC_MAGIC: u16 = 42; -const BIG_MAGIC: u16 = 43; - -#[derive(Clone, Copy)] -enum Order { - Little, - Big, -} - -/// The fixed-width entry layout of classic TIFF or BigTIFF. -#[derive(Clone, Copy)] -struct Format { - order: Order, - big: bool, -} - -impl Format { - fn entry_len(self) -> u64 { - if self.big { 20 } else { 12 } - } - - fn inline_len(self) -> u64 { - if self.big { 8 } else { 4 } - } -} - -/// Check every out-of-line IFD 0 value of `reader`, then rewind it. -pub(crate) fn check_ifd0(reader: &mut R) -> Result<(), RasterError> { - let file_len = reader.seek(SeekFrom::End(0))?; - reader.seek(SeekFrom::Start(0))?; - let checked = check_entries(reader, file_len); - reader.seek(SeekFrom::Start(0))?; - match checked { - // A short read means the tiff decoder refuses the same bytes. - Err(Short::Eof) | Ok(()) => Ok(()), - Err(Short::Refused(error)) => Err(error), - Err(Short::Io(error)) => Err(RasterError::from(error)), - } -} - -/// Why the entry walk stopped early. -enum Short { - Eof, - Io(io::Error), - Refused(RasterError), -} - -impl From for Short { - fn from(error: io::Error) -> Self { - if error.kind() == io::ErrorKind::UnexpectedEof { - Short::Eof - } else { - Short::Io(error) - } - } -} - -fn check_entries(reader: &mut R, file_len: u64) -> Result<(), Short> { - let mut header = [0u8; 8]; - reader.read_exact(&mut header)?; - let order = match &header[..2] { - b"II" => Order::Little, - b"MM" => Order::Big, - _ => return Ok(()), - }; - let magic = u16_at(order, [header[2], header[3]]); - let (format, ifd_offset) = match magic { - CLASSIC_MAGIC => { - let offset = u32_at(order, [header[4], header[5], header[6], header[7]]); - (Format { order, big: false }, u64::from(offset)) - } - BIG_MAGIC => { - let mut offset = [0u8; 8]; - reader.read_exact(&mut offset)?; - (Format { order, big: true }, u64_at(order, offset)) - } - _ => return Ok(()), - }; - if ifd_offset >= file_len { - return Ok(()); - } - reader.seek(SeekFrom::Start(ifd_offset))?; - let count = if format.big { - let mut raw = [0u8; 8]; - reader.read_exact(&mut raw)?; - u64_at(order, raw) - } else { - let mut raw = [0u8; 2]; - reader.read_exact(&mut raw)?; - u64::from(u16_at(order, raw)) - }; - // Entries past the end of the file are a short read for the decoder. - let room = file_len.saturating_sub(ifd_offset) / format.entry_len(); - for _ in 0..count.min(room) { - check_entry(reader, format, file_len)?; - } - Ok(()) -} - -fn check_entry(reader: &mut R, format: Format, file_len: u64) -> Result<(), Short> { - let order = format.order; - let mut head = [0u8; 4]; - reader.read_exact(&mut head)?; - let tag = u16_at(order, [head[0], head[1]]); - let kind = u16_at(order, [head[2], head[3]]); - let (count, offset) = if format.big { - let mut rest = [0u8; 16]; - reader.read_exact(&mut rest)?; - let mut count = [0u8; 8]; - let mut value = [0u8; 8]; - count.copy_from_slice(&rest[..8]); - value.copy_from_slice(&rest[8..]); - (u64_at(order, count), u64_at(order, value)) - } else { - let mut rest = [0u8; 8]; - reader.read_exact(&mut rest)?; - let count = u32_at(order, [rest[0], rest[1], rest[2], rest[3]]); - let value = u32_at(order, [rest[4], rest[5], rest[6], rest[7]]); - (u64::from(count), u64::from(value)) - }; - // The decoder skips an entry of unknown type, so this pass does too. - let Some(width) = type_width(kind) else { - return Ok(()); - }; - let refuse = |bytes| { - Short::Refused(RasterError::TagValueOutOfBounds { - tag, - bytes, - file_len, - }) - }; - let bytes = count.checked_mul(width).ok_or(refuse(u64::MAX))?; - if bytes <= format.inline_len() { - return Ok(()); - } - let end = offset.checked_add(bytes).ok_or(refuse(bytes))?; - if bytes > MAX_TAG_VALUE_BYTES as u64 || end > file_len { - return Err(refuse(bytes)); - } - Ok(()) -} - -/// Bytes per value of TIFF field type `kind`, or `None` for an unknown -/// type. -fn type_width(kind: u16) -> Option { - match kind { - // BYTE, ASCII, SBYTE, UNDEFINED. - 1 | 2 | 6 | 7 => Some(1), - // SHORT, SSHORT. - 3 | 8 => Some(2), - // LONG, SLONG, FLOAT, IFD. - 4 | 9 | 11 | 13 => Some(4), - // RATIONAL, SRATIONAL, DOUBLE, LONG8, SLONG8, IFD8. - 5 | 10 | 12 | 16 | 17 | 18 => Some(8), - _ => None, - } -} - -fn u16_at(order: Order, raw: [u8; 2]) -> u16 { - match order { - Order::Little => u16::from_le_bytes(raw), - Order::Big => u16::from_be_bytes(raw), - } -} - -fn u32_at(order: Order, raw: [u8; 4]) -> u32 { - match order { - Order::Little => u32::from_le_bytes(raw), - Order::Big => u32::from_be_bytes(raw), - } -} - -fn u64_at(order: Order, raw: [u8; 8]) -> u64 { - match order { - Order::Little => u64::from_le_bytes(raw), - Order::Big => u64::from_be_bytes(raw), - } -} - -#[cfg(test)] -mod tests { - use std::io::Cursor; - - use super::*; - - /// A little-endian classic TIFF: header, then one IFD of `entries`. - fn classic(entries: &[(u16, u16, u32, u32)], padding: usize) -> Vec { - let mut out = b"II".to_vec(); - out.extend(42u16.to_le_bytes()); - out.extend(8u32.to_le_bytes()); - out.extend(u16::try_from(entries.len()).expect("few").to_le_bytes()); - for (tag, kind, count, value) in entries { - out.extend(tag.to_le_bytes()); - out.extend(kind.to_le_bytes()); - out.extend(count.to_le_bytes()); - out.extend(value.to_le_bytes()); - } - out.extend(0u32.to_le_bytes()); - out.resize(out.len() + padding, 0); - out - } - - fn check(bytes: Vec) -> Result<(), RasterError> { - let mut cursor = Cursor::new(bytes); - let result = check_ifd0(&mut cursor); - assert_eq!(cursor.position(), 0, "the pass rewinds"); - result - } - - #[test] - fn values_inside_the_file_pass() { - // ImageWidth inline, StripOffsets: 4 LONGs at offset 26. - let bytes = classic(&[(256, 3, 1, 64), (273, 4, 4, 26)], 16); - assert!(check(bytes).is_ok()); - } - - #[test] - fn a_value_past_the_end_is_refused() { - let bytes = classic(&[(273, 4, 1_000_000, 26)], 16); - assert!(matches!( - check(bytes), - Err(RasterError::TagValueOutOfBounds { - tag: 273, - bytes: 4_000_000, - .. - }) - )); - } - - #[test] - fn a_value_over_the_cap_is_refused_even_inside_the_file() { - let count = u32::try_from(MAX_TAG_VALUE_BYTES + 1).expect("fits"); - let bytes = classic(&[(270, 2, count, 26)], MAX_TAG_VALUE_BYTES + 64); - assert!(matches!( - check(bytes), - Err(RasterError::TagValueOutOfBounds { tag: 270, .. }) - )); - } - - #[test] - fn unknown_types_and_short_tables_are_left_to_the_decoder() { - let unknown = classic(&[(273, 99, u32::MAX, 0)], 0); - assert!(check(unknown).is_ok()); - let mut short = classic(&[(273, 4, 4, 26)], 0); - short.truncate(12); - assert!(check(short).is_ok()); - assert!(check(b"not a tiff".to_vec()).is_ok()); - assert!(check(Vec::new()).is_ok()); - } - - #[test] - fn bigtiff_entries_are_checked() { - let mut out = b"II".to_vec(); - out.extend(43u16.to_le_bytes()); - out.extend(8u16.to_le_bytes()); - out.extend(0u16.to_le_bytes()); - out.extend(16u64.to_le_bytes()); - out.extend(1u64.to_le_bytes()); - out.extend(273u16.to_le_bytes()); - out.extend(16u16.to_le_bytes()); - out.extend(u64::MAX.to_le_bytes()); - out.extend(0u64.to_le_bytes()); - out.extend(0u64.to_le_bytes()); - assert!(matches!( - check(out), - Err(RasterError::TagValueOutOfBounds { tag: 273, .. }) - )); - } -} diff --git a/nodedb-raster/src/reader.rs b/nodedb-raster/src/reader.rs deleted file mode 100644 index 93ba1877c..000000000 --- a/nodedb-raster/src/reader.rs +++ /dev/null @@ -1,267 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! `GeoTiffReader`: IFD 0 of a GeoTIFF, decoded one block at a time. -//! -//! Open bounds every IFD 0 tag value by the file size first. It then reads -//! the tags once and refuses what the reader cannot decode exactly: an -//! overview as IFD 0, an unsupported codec, sample type, or photometric -//! interpretation, and a block larger than the caller's cap. A block read -//! then allocates at most that cap. - -use std::io::{Read, Seek}; -use std::mem::size_of; - -use nodedb_types::decode_bounds::checked_decode_capacity; -use nodedb_types::geometry::Srid; -use tiff::decoder::{Decoder, DecodingResult}; -use tiff::tags::Tag; - -use crate::block::{BandSamples, ChunkShape, RasterBlock, chunky_bands, planar_band}; -use crate::crs::srid_from_geokeys; -use crate::error::RasterError; -use crate::geokeys::{GT_RASTER_TYPE, GeoKeyDirectory}; -use crate::layout::{Interleave, RasterLayout}; -use crate::limits::RasterLimits; -use crate::nodata::parse_gdal_nodata; -use crate::preflight::check_ifd0; -use crate::sample::SampleType; -use crate::transform::{GeoTransform, ModelTags}; - -/// Compression codes the decoder reads: none, LZW, deflate (both codes), -/// PackBits. -const SUPPORTED_COMPRESSION: [u16; 5] = [1, 5, 8, 32946, 32773]; -/// `NewSubfileType` bit of a reduced-resolution image. -const REDUCED_RESOLUTION_BIT: u32 = 1; -/// `SubfileType` value of a reduced-resolution image. -const SUBFILE_REDUCED_RESOLUTION: u32 = 2; - -/// A GeoTIFF opened at IFD 0. -pub struct GeoTiffReader { - decoder: Decoder, - layout: RasterLayout, - limits: RasterLimits, - transform: Option, - geokeys: Option, - nodata: Option, -} - -impl GeoTiffReader { - /// Open `reader` and read the tags of IFD 0. - pub fn open(mut reader: R, limits: RasterLimits) -> Result { - let cap = limits.block_bytes; - let tiff = |e| RasterError::from_tiff(e, cap); - check_ifd0(&mut reader)?; - let mut decoder = Decoder::new(reader) - .map_err(tiff)? - .with_limits(limits.tiff_limits()); - refuse_reduced_resolution(&mut decoder, cap)?; - let compression = decoder - .find_tag_unsigned::(Tag::Compression) - .map_err(tiff)? - .unwrap_or(1); - if !SUPPORTED_COMPRESSION.contains(&compression) { - return Err(RasterError::UnsupportedCompression { code: compression }); - } - let layout = RasterLayout::read(&mut decoder, cap)?; - let needed_bytes = layout.block_bytes(); - if needed_bytes > cap as u64 { - return Err(RasterError::BlockTooLarge { - needed_bytes, - limit_bytes: cap, - }); - } - let geokeys = read_geokeys(&mut decoder, cap)?; - let pixel_scale = f64_tag(&mut decoder, Tag::ModelPixelScaleTag, cap)?; - let tiepoints = f64_tag(&mut decoder, Tag::ModelTiepointTag, cap)?; - let transformation = f64_tag(&mut decoder, Tag::ModelTransformationTag, cap)?; - let transform = GeoTransform::from_tags(ModelTags { - pixel_scale: pixel_scale.as_deref(), - tiepoints: tiepoints.as_deref(), - transformation: transformation.as_deref(), - raster_type: geokeys.as_ref().and_then(|keys| keys.short(GT_RASTER_TYPE)), - })?; - let nodata = decoder - .find_tag(Tag::GdalNodata) - .map_err(tiff)? - .map(|value| value.into_string().map_err(tiff)) - .transpose()? - .map(|text| parse_gdal_nodata(&text)) - .transpose()?; - Ok(Self { - decoder, - layout, - limits, - transform, - geokeys, - nodata, - }) - } - - /// The block grid and band layout. - pub fn layout(&self) -> &RasterLayout { - &self.layout - } - - /// Image width in pixels. - pub fn width(&self) -> u32 { - self.layout.width - } - - /// Image height in pixels. - pub fn height(&self) -> u32 { - self.layout.height - } - - /// Number of bands. - pub fn band_count(&self) -> u16 { - self.layout.bands - } - - /// The sample type every band shares. - pub fn sample_type(&self) -> SampleType { - self.layout.sample_type - } - - /// Blocks per band plane. Block indexes run `0..block_count()`. - pub fn block_count(&self) -> u32 { - self.layout.block_count() - } - - /// The pixel-corner geotransform, PixelIsPoint already shifted. - pub fn transform(&self) -> Option { - self.transform - } - - /// The GeoKey directory, when the file has one. - pub fn geokeys(&self) -> Option<&GeoKeyDirectory> { - self.geokeys.as_ref() - } - - /// The SRID the GeoKeys name, or `None` when they name no CRS. - pub fn srid(&self) -> Result, RasterError> { - srid_from_geokeys(self.geokeys.as_ref()) - } - - /// The `GDAL_NODATA` value, shared by every band. - pub fn nodata(&self) -> Option { - self.nodata - } - - /// Decode block `index`: one sample vector per band, cropped to the - /// image. - pub fn read_block(&mut self, index: u32) -> Result { - let window = self.layout.window(index)?; - let shape = ChunkShape { - index, - pixels: window.pixels(), - bands: usize::from(self.layout.bands), - limit_bytes: self.limits.block_bytes, - }; - let bands = match self.layout.interleave { - Interleave::Chunky => chunky_bands(self.read_chunk(index)?, shape)?, - Interleave::Planar => self.read_planes(index, shape)?, - }; - Ok(RasterBlock { - index, - window, - bands, - }) - } - - /// Read block `index` of every band plane. Plane `b` holds its blocks - /// at chunk indexes `b * block_count() ..`. - fn read_planes( - &mut self, - index: u32, - shape: ChunkShape, - ) -> Result, RasterError> { - let count = self.layout.block_count(); - let capacity = checked_decode_capacity( - shape.bands, - size_of::(), - shape.bands, - 1, - usize::from(u16::MAX), - shape.limit_bytes, - ) - .ok_or(RasterError::BlockTooLarge { - needed_bytes: self.layout.block_bytes(), - limit_bytes: shape.limit_bytes, - })?; - let mut bands = Vec::with_capacity(capacity); - for band in 0..u32::from(self.layout.bands) { - let chunk = band - .checked_mul(count) - .and_then(|start| start.checked_add(index)) - .ok_or(RasterError::BlockOutOfRange { index, count })?; - bands.push(planar_band(self.read_chunk(chunk)?, shape)?); - } - Ok(bands) - } - - fn read_chunk(&mut self, chunk: u32) -> Result { - let cap = self.limits.block_bytes; - self.decoder - .read_chunk(chunk) - .map_err(|e| RasterError::from_tiff(e, cap)) - } -} - -/// Refuse an IFD 0 flagged as an overview by `NewSubfileType` or the -/// older `SubfileType`. -fn refuse_reduced_resolution( - decoder: &mut Decoder, - cap: usize, -) -> Result<(), RasterError> { - let tiff = |e| RasterError::from_tiff(e, cap); - let new_subfile = decoder - .find_tag_unsigned::(Tag::NewSubfileType) - .map_err(tiff)? - .unwrap_or(0); - let subfile = decoder - .find_tag_unsigned::(Tag::SubfileType) - .map_err(tiff)? - .unwrap_or(0); - if new_subfile & REDUCED_RESOLUTION_BIT != 0 || subfile == SUBFILE_REDUCED_RESOLUTION { - return Err(RasterError::ReducedResolutionFirstImage); - } - Ok(()) -} - -/// The GeoKey directory with its parameter arrays, when the file has one. -fn read_geokeys( - decoder: &mut Decoder, - cap: usize, -) -> Result, RasterError> { - let tiff = |e| RasterError::from_tiff(e, cap); - let Some(directory) = decoder - .find_tag(Tag::GeoKeyDirectoryTag) - .map_err(tiff)? - .map(|value| value.into_u16_vec().map_err(tiff)) - .transpose()? - else { - return Ok(None); - }; - let doubles = f64_tag(decoder, Tag::GeoDoubleParamsTag, cap)?; - let ascii = decoder - .find_tag(Tag::GeoAsciiParamsTag) - .map_err(tiff)? - .map(|value| value.into_string().map_err(tiff)) - .transpose()?; - let keys = GeoKeyDirectory::parse(&directory, doubles.as_deref(), ascii.as_deref())?; - Ok(Some(keys)) -} - -/// The doubles of `tag`, when present. -fn f64_tag( - decoder: &mut Decoder, - tag: Tag, - cap: usize, -) -> Result>, RasterError> { - let tiff = |e| RasterError::from_tiff(e, cap); - decoder - .find_tag(tag) - .map_err(tiff)? - .map(|value| value.into_f64_vec().map_err(tiff)) - .transpose() -} diff --git a/nodedb-raster/src/reader/driver.rs b/nodedb-raster/src/reader/driver.rs new file mode 100644 index 000000000..890f29c48 --- /dev/null +++ b/nodedb-raster/src/reader/driver.rs @@ -0,0 +1,149 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A synchronous driver: answer an opener's rounds and a reader's block +//! ranges from a blocking range source. + +use crate::block::RasterBlock; +use crate::error::RasterError; +use crate::limits::RasterLimits; +use crate::reader::traits::{Opened, RasterOpener, RasterReader}; +use crate::source::cache::{Lookup, RangeCache}; +use crate::source::range::{ByteRange, ObjectId}; + +/// Open rounds before the driver gives up. A COG opens in one or two. +const MAX_OPEN_ROUNDS: usize = 64; + +/// A blocking range source. +pub trait RangeRead { + /// The bytes of `range`, fewer where the object ends, or `None` when + /// the object does not exist. The readers bound every range they name, + /// so an implementation can allocate `range.len()` bytes. + fn read_range(&mut self, range: ByteRange) -> Result>, RasterError>; +} + +/// An in-memory source: one object, the whole slice. +#[derive(Debug, Clone, Copy)] +pub struct SliceSource<'a> { + object: ObjectId, + bytes: &'a [u8], +} + +impl<'a> SliceSource<'a> { + /// `bytes` as `object`. + pub const fn new(object: ObjectId, bytes: &'a [u8]) -> Self { + Self { object, bytes } + } +} + +impl RangeRead for SliceSource<'_> { + fn read_range(&mut self, range: ByteRange) -> Result>, RasterError> { + if range.object != self.object { + return Ok(None); + } + let len = self.bytes.len(); + let start = usize::try_from(range.start).map_or(len, |s| s.min(len)); + let end = usize::try_from(range.end).map_or(len, |e| e.min(len)); + Ok(Some( + self.bytes + .get(start..end.max(start)) + .unwrap_or_default() + .to_vec(), + )) + } +} + +/// Run `opener` to completion, fetching each round's ranges from `source`. +pub fn open_with( + opener: &O, + source: &mut S, + limits: RasterLimits, +) -> Result +where + O: RasterOpener, + S: RangeRead + ?Sized, +{ + let mut cache = RangeCache::new(limits.header_bytes); + for _ in 0..MAX_OPEN_ROUNDS { + match opener.open(&cache, limits)? { + Opened::Ready(reader) => return Ok(reader), + Opened::Need(ranges) => { + let mut fetched = false; + for range in ranges { + if matches!(cache.get(range), Lookup::Missing) { + let bytes = source.read_range(range)?; + cache.insert(range, bytes)?; + fetched = true; + } + } + if !fetched { + return Err(RasterError::OpenStalled { + rounds: MAX_OPEN_ROUNDS, + }); + } + } + } + } + Err(RasterError::OpenStalled { + rounds: MAX_OPEN_ROUNDS, + }) +} + +/// Fetch the ranges of block `index` from `source` and decode it. +pub fn read_block_with( + reader: &R, + index: u32, + source: &mut S, +) -> Result +where + R: RasterReader + ?Sized, + S: RangeRead + ?Sized, +{ + let ranges = reader.block_ranges(index)?; + let mut owned: Vec>> = Vec::with_capacity(ranges.len()); + for range in &ranges { + owned.push(if range.is_empty() { + Some(Vec::new()) + } else { + source.read_range(*range)? + }); + } + let borrowed: Vec> = owned.iter().map(Option::as_deref).collect(); + reader.decode_block(index, &borrowed) +} + +/// Open `bytes`, a whole single-object source, with `opener`. +pub fn open_all( + opener: &O, + bytes: &[u8], + limits: RasterLimits, +) -> Result { + open_with(opener, &mut SliceSource::new(ObjectId(0), bytes), limits) +} + +/// Decode block `index` of a reader opened over `bytes`. +pub fn read_block_all( + reader: &R, + index: u32, + bytes: &[u8], +) -> Result { + read_block_with(reader, index, &mut SliceSource::new(ObjectId(0), bytes)) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn a_slice_source_clips_at_the_end_and_knows_one_object() { + let mut source = SliceSource::new(ObjectId(0), &[1, 2, 3, 4]); + let read = |source: &mut SliceSource<'_>, object, start, end| { + source + .read_range(ByteRange::new(ObjectId(object), start, end)) + .expect("reads") + }; + assert_eq!(read(&mut source, 0, 1, 3), Some(vec![2, 3])); + assert_eq!(read(&mut source, 0, 2, 100), Some(vec![3, 4])); + assert_eq!(read(&mut source, 0, 9, 12), Some(vec![])); + assert_eq!(read(&mut source, 1, 0, 2), None); + } +} diff --git a/nodedb-raster/src/reader/mod.rs b/nodedb-raster/src/reader/mod.rs new file mode 100644 index 000000000..5d03806e7 --- /dev/null +++ b/nodedb-raster/src/reader/mod.rs @@ -0,0 +1,9 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The sans-IO reader contract and a synchronous driver over it. + +pub mod driver; +pub mod traits; + +pub use driver::{RangeRead, SliceSource, open_all, open_with, read_block_all, read_block_with}; +pub use traits::{Opened, RasterOpener, RasterReader}; diff --git a/nodedb-raster/src/reader/traits.rs b/nodedb-raster/src/reader/traits.rs new file mode 100644 index 000000000..5e2bad4f1 --- /dev/null +++ b/nodedb-raster/src/reader/traits.rs @@ -0,0 +1,60 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The sans-IO reader contract. +//! +//! An opener never performs I/O. Each call reads what the cache holds and +//! either returns the reader or names the ranges it needs next. The caller +//! fetches them over any transport, inserts them, and calls again. A +//! reader names each block's ranges, and decodes a block from the bytes +//! the caller fetched. + +use crate::block::RasterBlock; +use crate::error::RasterError; +use crate::header::RasterHeader; +use crate::layout::BlockWindow; +use crate::limits::RasterLimits; +use crate::source::cache::RangeCache; +use crate::source::range::ByteRange; + +/// The result of one open round. +#[derive(Debug)] +pub enum Opened { + /// The header is read. + Ready(R), + /// Fetch these ranges into the cache, then open again. + Need(Vec), +} + +/// Opens a raster from cached header ranges. +pub trait RasterOpener { + type Reader: RasterReader; + + /// One open round over `cache`. + fn open( + &self, + cache: &RangeCache, + limits: RasterLimits, + ) -> Result, RasterError>; +} + +/// Decodes the blocks of an opened raster. +pub trait RasterReader: Send + Sync { + /// The header the open read. + fn header(&self) -> &RasterHeader; + + /// Blocks per band. Block indexes run `0..block_count()`. + fn block_count(&self) -> u32; + + /// The pixel window of block `index`, cropped to the image. + fn block_window(&self, index: u32) -> Result; + + /// The ranges block `index` decodes from. An empty range stands for a + /// block the file omits and needs no fetch. + fn block_ranges(&self, index: u32) -> Result, RasterError>; + + /// Decode block `index` from the bytes of its ranges, in + /// [`RasterReader::block_ranges`] order. `None` marks a missing + /// object. A buffer shorter than its range means the object ends there. + fn decode_block(&self, index: u32, bytes: &[Option<&[u8]>]) + -> Result; +} diff --git a/nodedb-raster/src/sample.rs b/nodedb-raster/src/sample.rs index 5d82b4a68..f88f547d0 100644 --- a/nodedb-raster/src/sample.rs +++ b/nodedb-raster/src/sample.rs @@ -1,13 +1,18 @@ // SPDX-License-Identifier: Apache-2.0 -//! The closed set of sample types the reader decodes. +//! The closed set of sample types the readers decode. use std::fmt; -use tiff::tags::SampleFormat; - use crate::error::RasterError; +/// TIFF `SampleFormat` 1: unsigned integer. +pub const FORMAT_UINT: u16 = 1; +/// TIFF `SampleFormat` 2: two's complement signed integer. +pub const FORMAT_INT: u16 = 2; +/// TIFF `SampleFormat` 3: IEEE floating point. +pub const FORMAT_IEEE_FP: u16 = 3; + /// A TIFF `SampleFormat` tag value, kept for error messages. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub struct SampleFormatCode(pub u16); @@ -24,30 +29,34 @@ impl fmt::Display for SampleFormatCode { } } -/// One band sample type. Every band of a raster shares it. +/// One band sample type. #[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] pub enum SampleType { U8, + I8, U16, I16, U32, + I32, F32, F64, } impl SampleType { - /// The sample type for a TIFF sample format and bit width. Any other - /// pair fails with [`RasterError::UnsupportedSampleType`]. - pub fn from_tiff(format: SampleFormat, bits: u8) -> Result { + /// The sample type for a TIFF sample format code and bit width. Any + /// other pair fails with [`RasterError::UnsupportedSampleType`]. + pub fn from_tiff(format: u16, bits: u16) -> Result { match (format, bits) { - (SampleFormat::Uint, 8) => Ok(SampleType::U8), - (SampleFormat::Uint, 16) => Ok(SampleType::U16), - (SampleFormat::Int, 16) => Ok(SampleType::I16), - (SampleFormat::Uint, 32) => Ok(SampleType::U32), - (SampleFormat::IEEEFP, 32) => Ok(SampleType::F32), - (SampleFormat::IEEEFP, 64) => Ok(SampleType::F64), + (FORMAT_UINT, 8) => Ok(SampleType::U8), + (FORMAT_INT, 8) => Ok(SampleType::I8), + (FORMAT_UINT, 16) => Ok(SampleType::U16), + (FORMAT_INT, 16) => Ok(SampleType::I16), + (FORMAT_UINT, 32) => Ok(SampleType::U32), + (FORMAT_INT, 32) => Ok(SampleType::I32), + (FORMAT_IEEE_FP, 32) => Ok(SampleType::F32), + (FORMAT_IEEE_FP, 64) => Ok(SampleType::F64), _ => Err(RasterError::UnsupportedSampleType { - format: SampleFormatCode(format.to_u16()), + format: SampleFormatCode(format), bits, }), } @@ -56,20 +65,27 @@ impl SampleType { /// Bytes per sample. pub const fn byte_len(self) -> usize { match self { - SampleType::U8 => 1, + SampleType::U8 | SampleType::I8 => 1, SampleType::U16 | SampleType::I16 => 2, - SampleType::U32 | SampleType::F32 => 4, + SampleType::U32 | SampleType::I32 | SampleType::F32 => 4, SampleType::F64 => 8, } } + /// True for `f32` and `f64`. + pub const fn is_float(self) -> bool { + matches!(self, SampleType::F32 | SampleType::F64) + } + /// The lower-case Rust name, such as `u16`. pub const fn name(self) -> &'static str { match self { SampleType::U8 => "u8", + SampleType::I8 => "i8", SampleType::U16 => "u16", SampleType::I16 => "i16", SampleType::U32 => "u32", + SampleType::I32 => "i32", SampleType::F32 => "f32", SampleType::F64 => "f64", } @@ -88,29 +104,27 @@ mod tests { #[test] fn supported_pairs_map_to_their_type() { - assert_eq!( - SampleType::from_tiff(SampleFormat::Uint, 8).ok(), - Some(SampleType::U8) - ); - assert_eq!( - SampleType::from_tiff(SampleFormat::Int, 16).ok(), - Some(SampleType::I16) - ); - assert_eq!( - SampleType::from_tiff(SampleFormat::IEEEFP, 64).ok(), - Some(SampleType::F64) - ); + let cases = [ + (FORMAT_UINT, 8, SampleType::U8), + (FORMAT_INT, 8, SampleType::I8), + (FORMAT_INT, 16, SampleType::I16), + (FORMAT_INT, 32, SampleType::I32), + (FORMAT_UINT, 32, SampleType::U32), + (FORMAT_IEEE_FP, 64, SampleType::F64), + ]; + for (format, bits, want) in cases { + assert_eq!(SampleType::from_tiff(format, bits).ok(), Some(want)); + } } #[test] fn unsupported_pairs_are_typed_errors() { for (format, bits) in [ - (SampleFormat::Int, 8), - (SampleFormat::Uint, 64), - (SampleFormat::Int, 32), - (SampleFormat::IEEEFP, 16), - (SampleFormat::Uint, 1), - (SampleFormat::Void, 8), + (FORMAT_UINT, 64), + (FORMAT_INT, 64), + (FORMAT_IEEE_FP, 16), + (FORMAT_UINT, 1), + (4, 8), ] { assert!(matches!( SampleType::from_tiff(format, bits), diff --git a/nodedb-raster/src/source/cache.rs b/nodedb-raster/src/source/cache.rs new file mode 100644 index 000000000..6f65e62c1 --- /dev/null +++ b/nodedb-raster/src/source/cache.rs @@ -0,0 +1,171 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `RangeCache`: the fetched ranges an open reads from, under a byte cap. +//! +//! An entry shorter than its range marks the end of its object: a lookup +//! past that end answers with the bytes up to the end, possibly none. An +//! entry without bytes marks a missing object. + +use crate::error::RasterError; +use crate::source::range::ByteRange; + +/// The answer of a cache lookup. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum Lookup<'a> { + /// The bytes of the range. Shorter than the range only where the + /// object ends. + Bytes(&'a [u8]), + /// The object does not exist. + Absent, + /// The cache does not hold the range yet. + Missing, +} + +#[derive(Debug)] +struct Entry { + range: ByteRange, + bytes: Option>, +} + +/// Fetched ranges, bounded by a byte cap. +#[derive(Debug)] +pub struct RangeCache { + entries: Vec, + held_bytes: usize, + limit_bytes: usize, +} + +impl RangeCache { + /// An empty cache that holds at most `limit_bytes` bytes. + pub fn new(limit_bytes: usize) -> Self { + Self { + entries: Vec::new(), + held_bytes: 0, + limit_bytes, + } + } + + /// Store the answer for `range`: its bytes, or `None` for a missing + /// object. Fewer bytes than the range marks the end of the object. + pub fn insert(&mut self, range: ByteRange, bytes: Option>) -> Result<(), RasterError> { + if let Some(data) = &bytes { + if data.len() as u64 > range.len() { + return Err(RasterError::RangeOverrun { + range, + len: range.len(), + got: data.len(), + }); + } + let held = self + .held_bytes + .checked_add(data.len()) + .filter(|held| *held <= self.limit_bytes) + .ok_or(RasterError::HeaderTooLarge { + limit_bytes: self.limit_bytes, + })?; + self.held_bytes = held; + } + self.entries.push(Entry { range, bytes }); + Ok(()) + } + + /// The cached bytes of `range`. + pub fn get(&self, range: ByteRange) -> Lookup<'_> { + for entry in &self.entries { + if entry.range.object != range.object { + continue; + } + let Some(data) = &entry.bytes else { + return Lookup::Absent; + }; + if entry.range.start > range.start { + continue; + } + let held = data.len() as u64; + let at_end = held < entry.range.len(); + let available_end = entry.range.start.saturating_add(held); + let skip = range.start - entry.range.start; + if range.end <= available_end { + let (Ok(from), Ok(to)) = ( + usize::try_from(skip), + usize::try_from(range.end - entry.range.start), + ) else { + continue; + }; + if let Some(bytes) = data.get(from..to.max(from)) { + return Lookup::Bytes(bytes); + } + } else if at_end { + let from = usize::try_from(skip.min(held)).unwrap_or(data.len()); + return Lookup::Bytes(data.get(from..).unwrap_or_default()); + } + } + Lookup::Missing + } + + /// Bytes the cache holds. + pub fn held_bytes(&self) -> usize { + self.held_bytes + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::source::range::ObjectId; + + fn r(start: u64, end: u64) -> ByteRange { + ByteRange::new(ObjectId(0), start, end) + } + + #[test] + fn covered_ranges_hit_and_others_miss() { + let mut cache = RangeCache::new(1024); + cache + .insert(r(10, 20), Some((10..20).collect())) + .expect("fits"); + assert_eq!(cache.get(r(12, 15)), Lookup::Bytes(&[12, 13, 14])); + assert_eq!( + cache.get(r(10, 20)), + Lookup::Bytes(&[10, 11, 12, 13, 14, 15, 16, 17, 18, 19]) + ); + assert_eq!(cache.get(r(5, 12)), Lookup::Missing); + assert_eq!(cache.get(r(15, 25)), Lookup::Missing); + assert_eq!( + cache.get(ByteRange::new(ObjectId(1), 10, 12)), + Lookup::Missing + ); + } + + #[test] + fn a_short_entry_marks_the_object_end() { + let mut cache = RangeCache::new(1024); + cache.insert(r(0, 100), Some(vec![7; 8])).expect("fits"); + assert_eq!(cache.get(r(4, 50)), Lookup::Bytes(&[7; 4])); + assert_eq!(cache.get(r(60, 70)), Lookup::Bytes(&[])); + } + + #[test] + fn a_missing_object_is_absent() { + let mut cache = RangeCache::new(1024); + cache + .insert(ByteRange::new(ObjectId(3), 0, 10), None) + .expect("fits"); + assert_eq!(cache.get(ByteRange::new(ObjectId(3), 4, 8)), Lookup::Absent); + } + + #[test] + fn the_byte_cap_and_overruns_are_typed_errors() { + let mut cache = RangeCache::new(10); + cache.insert(r(0, 8), Some(vec![0; 8])).expect("fits"); + assert!(matches!( + cache.insert(r(8, 16), Some(vec![0; 8])), + Err(RasterError::HeaderTooLarge { limit_bytes: 10 }) + )); + assert!(matches!( + cache.insert(r(0, 2), Some(vec![0; 3])), + Err(RasterError::RangeOverrun { got: 3, .. }) + )); + assert_eq!(cache.held_bytes(), 8); + } +} diff --git a/nodedb-raster/src/source/mod.rs b/nodedb-raster/src/source/mod.rs new file mode 100644 index 000000000..c8bb7fa2b --- /dev/null +++ b/nodedb-raster/src/source/mod.rs @@ -0,0 +1,9 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Byte ranges of source objects and the bounded cache an open reads from. + +pub mod cache; +pub mod range; + +pub use cache::{Lookup, RangeCache}; +pub use range::{ByteRange, COALESCE_GAP, ObjectId, coalesce}; diff --git a/nodedb-raster/src/source/range.rs b/nodedb-raster/src/source/range.rs new file mode 100644 index 000000000..f115695cf --- /dev/null +++ b/nodedb-raster/src/source/range.rs @@ -0,0 +1,89 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Byte ranges of source objects. +//! +//! A source holds one or more objects: one file, or the files of a +//! multi-file format. A reader names the bytes it needs as half-open +//! ranges of an object, and the caller fetches them over any transport. + +/// One object of a source. A single-file source has object 0. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, PartialOrd, Ord)] +pub struct ObjectId(pub u32); + +/// The half-open byte range `start..end` of `object`. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] +pub struct ByteRange { + pub object: ObjectId, + pub start: u64, + pub end: u64, +} + +/// Ranges of one object closer than this many bytes merge into one fetch. +pub const COALESCE_GAP: u64 = 64 * 1024; + +impl ByteRange { + /// The range `start..end` of `object`. + pub const fn new(object: ObjectId, start: u64, end: u64) -> Self { + Self { object, start, end } + } + + /// Bytes in the range. An inverted range is empty. + pub const fn len(&self) -> u64 { + self.end.saturating_sub(self.start) + } + + /// True when the range holds no byte. + pub const fn is_empty(&self) -> bool { + self.len() == 0 + } +} + +/// Sort `ranges` and merge those of one object that overlap or lie within +/// `gap` bytes of each other. Empty ranges are dropped. +pub fn coalesce(mut ranges: Vec, gap: u64) -> Vec { + ranges.retain(|range| !range.is_empty()); + ranges.sort_by_key(|range| (range.object, range.start, range.end)); + let mut merged: Vec = Vec::with_capacity(ranges.len()); + for range in ranges { + match merged.last_mut() { + Some(last) + if last.object == range.object && range.start <= last.end.saturating_add(gap) => + { + last.end = last.end.max(range.end); + } + Some(_) | None => merged.push(range), + } + } + merged +} + +#[cfg(test)] +mod tests { + use super::*; + + fn r(object: u32, start: u64, end: u64) -> ByteRange { + ByteRange::new(ObjectId(object), start, end) + } + + #[test] + fn close_ranges_of_one_object_merge() { + let merged = coalesce( + vec![r(0, 200_000, 200_100), r(0, 0, 10), r(0, 100, 50_000)], + COALESCE_GAP, + ); + assert_eq!(merged, vec![r(0, 0, 50_000), r(0, 200_000, 200_100)]); + } + + #[test] + fn objects_never_merge_and_empty_ranges_drop() { + let merged = coalesce(vec![r(1, 0, 4), r(0, 0, 4), r(0, 9, 9)], COALESCE_GAP); + assert_eq!(merged, vec![r(0, 0, 4), r(1, 0, 4)]); + } + + #[test] + fn overlaps_merge_to_the_union() { + let merged = coalesce(vec![r(0, 0, 100), r(0, 50, 80), r(0, 90, 150)], 0); + assert_eq!(merged, vec![r(0, 0, 150)]); + assert_eq!(r(0, 9, 3).len(), 0); + } +} diff --git a/nodedb-raster/src/tiff/byte_order.rs b/nodedb-raster/src/tiff/byte_order.rs new file mode 100644 index 000000000..2ea028d25 --- /dev/null +++ b/nodedb-raster/src/tiff/byte_order.rs @@ -0,0 +1,84 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! TIFF byte order and fixed-width reads. + +/// The byte order a TIFF stores its numbers in. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ByteOrder { + /// `II`. + Little, + /// `MM`. + Big, +} + +impl ByteOrder { + pub const fn u16(self, raw: [u8; 2]) -> u16 { + match self { + ByteOrder::Little => u16::from_le_bytes(raw), + ByteOrder::Big => u16::from_be_bytes(raw), + } + } + + pub const fn u32(self, raw: [u8; 4]) -> u32 { + match self { + ByteOrder::Little => u32::from_le_bytes(raw), + ByteOrder::Big => u32::from_be_bytes(raw), + } + } + + pub const fn u64(self, raw: [u8; 8]) -> u64 { + match self { + ByteOrder::Little => u64::from_le_bytes(raw), + ByteOrder::Big => u64::from_be_bytes(raw), + } + } + + /// `N` bytes of `bytes` at `at`, read as an `N`-byte unsigned integer. + pub fn uint_at(self, bytes: &[u8], at: usize, width: usize) -> Option { + match width { + 1 => bytes.get(at).map(|b| u64::from(*b)), + 2 => array::<2>(bytes, at).map(|raw| u64::from(self.u16(raw))), + 4 => array::<4>(bytes, at).map(|raw| u64::from(self.u32(raw))), + 8 => array::<8>(bytes, at).map(|raw| self.u64(raw)), + _ => None, + } + } + + /// Write the low `width` bytes of `value` at `at` in this order. + pub fn put_uint(self, bytes: &mut [u8], at: usize, width: usize, value: u64) { + let raw = match self { + ByteOrder::Little => value.to_le_bytes(), + ByteOrder::Big => value.to_be_bytes(), + }; + let field = match self { + ByteOrder::Little => raw.get(..width), + ByteOrder::Big => raw.get(8usize.saturating_sub(width)..), + }; + if let (Some(field), Some(out)) = (field, bytes.get_mut(at..at.saturating_add(width))) { + out.copy_from_slice(field); + } + } +} + +/// The `N` bytes of `bytes` at `at`, or `None` past the end. +pub fn array(bytes: &[u8], at: usize) -> Option<[u8; N]> { + bytes.get(at..at.checked_add(N)?)?.try_into().ok() +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn both_orders_read_and_write() { + let bytes = [0x12, 0x34, 0x56, 0x78]; + assert_eq!(ByteOrder::Little.uint_at(&bytes, 0, 2), Some(0x3412)); + assert_eq!(ByteOrder::Big.uint_at(&bytes, 0, 4), Some(0x1234_5678)); + assert_eq!(ByteOrder::Big.uint_at(&bytes, 2, 4), None); + let mut out = [0u8; 4]; + ByteOrder::Big.put_uint(&mut out, 1, 2, 0xABCD); + assert_eq!(out, [0, 0xAB, 0xCD, 0]); + ByteOrder::Little.put_uint(&mut out, 0, 2, 0xABCD); + assert_eq!(out, [0xCD, 0xAB, 0xCD, 0]); + } +} diff --git a/nodedb-raster/src/tiff/chain.rs b/nodedb-raster/src/tiff/chain.rs new file mode 100644 index 000000000..326d3bc53 --- /dev/null +++ b/nodedb-raster/src/tiff/chain.rs @@ -0,0 +1,99 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The IFD chain: every IFD's offset, size and subfile kind. + +use crate::error::RasterError; +use crate::tiff::error::TiffFormatError; +use crate::tiff::fetch::Fetcher; +use crate::tiff::file_header::Format; +use crate::tiff::ifd::{Ifd, entry_count, parse_ifd}; +use crate::tiff::tags::{ + IMAGE_LENGTH, IMAGE_WIDTH, NEW_SUBFILE_TYPE, OLD_SUBFILE_REDUCED, SUBFILE_MASK, + SUBFILE_REDUCED, SUBFILE_TYPE, +}; +use crate::tiff::values::{TagValues, prefetch}; + +/// Most IFDs a chain may hold. A COG holds two per overview level. +pub const MAX_IFDS: usize = 256; + +/// The tags the chain walk reads from every IFD. +const SUMMARY_TAGS: [u16; 4] = [NEW_SUBFILE_TYPE, SUBFILE_TYPE, IMAGE_WIDTH, IMAGE_LENGTH]; + +/// One IFD of the chain. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct IfdSummary { + pub offset: u64, + pub width: u64, + pub height: u64, + /// A reduced-resolution image: an overview. + pub reduced: bool, + /// A transparency mask. + pub mask: bool, +} + +/// The full IFD at `offset`, or `None` when this round lacks its bytes. +pub fn read_ifd( + fetcher: &mut Fetcher<'_>, + format: Format, + offset: u64, +) -> Result, RasterError> { + let Some(head) = fetcher.bytes(offset, format.count_len())? else { + return Ok(None); + }; + let count = entry_count(format, offset, head)?; + let len = format + .ifd_len(count) + .ok_or(TiffFormatError::OffsetOverflow { + offset, + len: u64::MAX, + })?; + let Some(body) = fetcher.bytes(offset, len)? else { + return Ok(None); + }; + Ok(Some(parse_ifd(format, offset, body)?)) +} + +/// Walk the chain from `first`. `None` when this round lacks the bytes of +/// an IFD or of a summary tag value. +pub fn walk( + fetcher: &mut Fetcher<'_>, + format: Format, + first: u64, + header_bytes: usize, +) -> Result>, RasterError> { + let mut chain: Vec = Vec::new(); + let mut offset = first; + while offset != 0 { + if chain.iter().any(|seen| seen.offset == offset) { + return Err(TiffFormatError::IfdLoop { offset }.into()); + } + if chain.len() >= MAX_IFDS { + return Err(TiffFormatError::TooManyIfds { limit: MAX_IFDS }.into()); + } + let Some(ifd) = read_ifd(fetcher, format, offset)? else { + return Ok(None); + }; + prefetch(&ifd, &SUMMARY_TAGS, fetcher, header_bytes)?; + if fetcher.pending() { + return Ok(None); + } + let values = TagValues { + ifd: &ifd, + cache: fetcher.cache(), + object: fetcher.object(), + order: format.order, + header_bytes, + }; + let subfile = values.uint(NEW_SUBFILE_TYPE)?.unwrap_or(0); + let old_subfile = values.uint(SUBFILE_TYPE)?.unwrap_or(0); + chain.push(IfdSummary { + offset, + width: values.uint(IMAGE_WIDTH)?.unwrap_or(0), + height: values.uint(IMAGE_LENGTH)?.unwrap_or(0), + reduced: subfile & SUBFILE_REDUCED != 0 || old_subfile == OLD_SUBFILE_REDUCED, + mask: subfile & SUBFILE_MASK != 0, + }); + offset = ifd.next; + } + Ok(Some(chain)) +} diff --git a/nodedb-raster/src/tiff/decode.rs b/nodedb-raster/src/tiff/decode.rs new file mode 100644 index 000000000..7e960b6d5 --- /dev/null +++ b/nodedb-raster/src/tiff/decode.rs @@ -0,0 +1,103 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! One compressed chunk to raw sample bytes: decompress, then undo the +//! predictor. + +use crate::codec::compression::Compression; +use crate::codec::error::CodecError; +use crate::codec::jpeg::{self, JpegChunk}; +use crate::codec::lerc::{self, LercChunk}; +use crate::codec::predictor::PredictorShape; +use crate::error::RasterError; +use crate::limits::checked_raster_capacity; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::image::TiffImage; + +/// Slack a LERC blob may need over its raw samples: header, mask and +/// incompressible blocks. +const LERC_SLACK: usize = 64 * 1024; + +/// A decoded chunk. +#[derive(Debug)] +pub struct DecodedChunk { + /// `width x rows` pixels of interleaved samples. + pub bytes: Vec, + pub order: ByteOrder, + /// One mask per chunk sample from LERC validity masks: one flag per + /// chunk pixel, `None` when every pixel of the sample is valid. + pub masks: Vec>>, +} + +/// Decode chunk `data` of `image`, `rows` rows tall. +pub fn decode_chunk( + image: &TiffImage, + data: &[u8], + rows: u32, +) -> Result { + let samples = checked_raster_capacity(image.chunk_samples()).map_err(CodecError::from)?; + let width = image.layout.block_width; + let sample_type = image.layout.sample_type; + // The open-time block cap bounds this product. + let expected = (width as usize) + .saturating_mul(rows as usize) + .saturating_mul(samples) + .saturating_mul(sample_type.byte_len()); + match image.compression { + Compression::Stream(codec) => { + let mut bytes = codec.decompress(data, expected)?; + image.predictor.undo( + &mut bytes, + PredictorShape { + row_samples: width as usize * samples, + stride: samples, + sample_type, + order: image.order, + }, + ); + Ok(DecodedChunk { + bytes, + order: image.order, + masks: vec![None; samples], + }) + } + Compression::Jpeg => { + let bytes = jpeg::decode(JpegChunk { + data, + tables: image.jpeg_tables.as_deref(), + width, + height: rows, + components: samples, + })?; + Ok(DecodedChunk { + bytes, + order: image.order, + masks: vec![None; samples], + }) + } + Compression::Lerc(wrap) => { + let unwrapped; + let blob = match wrap.stream() { + None => data, + Some(codec) => { + let max = expected.saturating_mul(2).saturating_add(LERC_SLACK); + unwrapped = codec.decompress_bounded(data, max)?; + unwrapped.as_slice() + } + }; + let decoded = lerc::decode( + blob, + LercChunk { + width, + height: rows, + samples: u32::try_from(samples).unwrap_or(u32::MAX), + sample_type, + }, + )?; + Ok(DecodedChunk { + bytes: decoded.bytes, + order: ByteOrder::Little, + masks: decoded.masks, + }) + } + } +} diff --git a/nodedb-raster/src/tiff/error.rs b/nodedb-raster/src/tiff/error.rs new file mode 100644 index 000000000..f63ca7c5a --- /dev/null +++ b/nodedb-raster/src/tiff/error.rs @@ -0,0 +1,102 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Typed errors of the TIFF container layer. + +use crate::limits::CapacityExceeded; +use crate::sample::SampleType; + +/// Every way TIFF structure can be malformed. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum TiffFormatError { + #[error("not a TIFF: the file opens with neither 'II*' nor 'MM*' nor BigTIFF 'II+'/'MM+'")] + NotTiff, + + #[error("BigTIFF header declares {offset_size}-byte offsets; BigTIFF offsets are 8 bytes")] + BigTiffOffsetSize { offset_size: u16 }, + + #[error("the file ends at byte {end}, inside a {len}-byte structure at byte {offset}")] + Truncated { offset: u64, len: u64, end: u64 }, + + #[error("the IFD chain loops back to byte {offset}")] + IfdLoop { offset: u64 }, + + #[error("the IFD chain holds more than {limit} IFDs")] + TooManyIfds { limit: usize }, + + #[error("the IFD at byte {offset} declares {count} entries, over the {limit}-entry cap")] + TooManyEntries { offset: u64, count: u64, limit: u64 }, + + #[error(transparent)] + Capacity(#[from] CapacityExceeded), + + #[error("the IFD chain holds no full-resolution image")] + NoImage, + + #[error("tag {tag} has field type {kind}, which does not fit its value")] + FieldType { tag: u16, kind: u16 }, + + #[error("required tag {tag} ({name}) is absent")] + MissingTag { tag: u16, name: &'static str }, + + #[error("tag {tag} holds {found} values, expected {expected}")] + TagCount { tag: u16, found: u64, expected: u64 }, + + #[error("tag {tag} declares a value whose offset and length overflow")] + ValueOverflow { tag: u16 }, + + #[error("tag {tag} holds {value}, which is out of range")] + TagValue { tag: u16, value: u64 }, + + #[error("tag {tag} holds ASCII text that is not UTF-8")] + AsciiEncoding { tag: u16 }, + + #[error("a {len}-byte range at byte {offset} overflows the file offsets")] + OffsetOverflow { offset: u64, len: u64 }, + + #[error("chunk {chunk} at byte {offset} with {len} bytes overflows the file offsets")] + ChunkOverflow { chunk: u64, offset: u64, len: u64 }, + + #[error( + "the image is {width}x{height} in {block_width}x{block_height} blocks: too many blocks" + )] + TooManyBlocks { + width: u32, + height: u32, + block_width: u32, + block_height: u32, + }, +} + +/// A valid TIFF feature the reader does not decode. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum UnsupportedTiff { + #[error("bands of different bit widths ({first} and {other} bits)")] + MixedBitsPerSample { first: u16, other: u16 }, + + #[error("bands of different sample formats ({first} and {other})")] + MixedSampleFormats { first: u16, other: u16 }, + + #[error("predictor {code}; supported: none (1), horizontal (2), floating point (3)")] + Predictor { code: u16 }, + + #[error("the floating-point predictor (3) over {sample_type} samples")] + FloatPredictorOnIntegers { sample_type: SampleType }, + + #[error("JPEG over {sample_type} samples; JPEG decodes 8-bit samples only")] + JpegSampleType { sample_type: SampleType }, + + #[error("JPEG chunks of {samples} samples per pixel; supported: 1 and 3")] + JpegSamples { samples: u16 }, + + #[error("JPEG chunks of {width}x{height} pixels; JPEG frames are at most 65535 on a side")] + JpegFrameSize { width: u32, height: u32 }, + + #[error("YCbCr subsampling {horizontal}x{vertical} without JPEG compression")] + YCbCrSubsampling { horizontal: u16, vertical: u16 }, + + #[error("LERC additional compression {code}; supported: none (0), deflate (1), ZSTD (2)")] + LercCompression { code: u64 }, + + #[error("mask IFD of {bits}-bit samples; supported: 1 and 8")] + MaskBits { bits: u16 }, +} diff --git a/nodedb-raster/src/tiff/fetch.rs b/nodedb-raster/src/tiff/fetch.rs new file mode 100644 index 000000000..2578cd493 --- /dev/null +++ b/nodedb-raster/src/tiff/fetch.rs @@ -0,0 +1,126 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `Fetcher`: reads an open round's bytes from the cache and records the +//! ranges the cache lacks. + +use crate::error::RasterError; +use crate::source::cache::{Lookup, RangeCache}; +use crate::source::range::{ByteRange, COALESCE_GAP, ObjectId, coalesce}; +use crate::tiff::error::TiffFormatError; + +/// Smallest range a miss asks for. It covers the header and IFD 0 of a +/// cloud-optimised GeoTIFF, GDAL's ghost area included. +pub const MIN_FETCH: u64 = 64 * 1024; + +/// Cache reads of one open round. +#[derive(Debug)] +pub struct Fetcher<'c> { + cache: &'c RangeCache, + object: ObjectId, + need: Vec, +} + +impl<'c> Fetcher<'c> { + pub fn new(cache: &'c RangeCache, object: ObjectId) -> Self { + Self { + cache, + object, + need: Vec::new(), + } + } + + /// The cache this round reads. + pub fn cache(&self) -> &'c RangeCache { + self.cache + } + + /// The object this round reads. + pub fn object(&self) -> ObjectId { + self.object + } + + /// The `len` bytes at `offset`. `Ok(None)` when the cache lacks them: + /// the range, widened to [`MIN_FETCH`], is recorded as needed. + pub fn bytes(&mut self, offset: u64, len: u64) -> Result, RasterError> { + match self.lookup(offset, len)? { + Some(bytes) if bytes.len() as u64 == len => Ok(Some(bytes)), + Some(bytes) => Err(TiffFormatError::Truncated { + offset, + len, + end: offset.saturating_add(bytes.len() as u64), + } + .into()), + None => Ok(None), + } + } + + /// Up to `len` bytes at `offset`: fewer only where the object ends. + pub fn prefix(&mut self, offset: u64, len: u64) -> Result, RasterError> { + self.lookup(offset, len) + } + + /// True when this round recorded a needed range. + pub fn pending(&self) -> bool { + !self.need.is_empty() + } + + /// The needed ranges, coalesced. + pub fn into_need(self) -> Vec { + coalesce(self.need, COALESCE_GAP) + } + + fn lookup(&mut self, offset: u64, len: u64) -> Result, RasterError> { + let end = offset + .checked_add(len) + .ok_or(TiffFormatError::OffsetOverflow { offset, len })?; + match self.cache.get(ByteRange::new(self.object, offset, end)) { + Lookup::Bytes(bytes) => Ok(Some(bytes)), + Lookup::Absent => Err(RasterError::SourceMissing { + object: self.object.0, + }), + Lookup::Missing => { + let fetch_end = offset.saturating_add(len.max(MIN_FETCH)); + self.need + .push(ByteRange::new(self.object, offset, fetch_end)); + Ok(None) + } + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn misses_ask_for_at_least_the_minimum_fetch() { + let cache = RangeCache::new(1 << 20); + let mut fetcher = Fetcher::new(&cache, ObjectId(0)); + assert_eq!(fetcher.bytes(0, 16).ok(), Some(None)); + assert_eq!(fetcher.bytes(100, 8).ok(), Some(None)); + assert!(fetcher.pending()); + assert_eq!( + fetcher.into_need(), + vec![ByteRange::new(ObjectId(0), 0, 100 + MIN_FETCH)] + ); + } + + #[test] + fn hits_and_the_object_end_answer_from_the_cache() { + let mut cache = RangeCache::new(1 << 20); + cache + .insert(ByteRange::new(ObjectId(0), 0, MIN_FETCH), Some(vec![1; 10])) + .expect("fits"); + let mut fetcher = Fetcher::new(&cache, ObjectId(0)); + assert_eq!(fetcher.bytes(2, 4).ok(), Some(Some(&[1u8; 4][..]))); + assert_eq!(fetcher.prefix(0, 16).ok(), Some(Some(&[1u8; 10][..]))); + assert!(matches!( + fetcher.bytes(8, 4), + Err(RasterError::Malformed(TiffFormatError::Truncated { + end: 10, + .. + })) + )); + assert!(!fetcher.pending()); + } +} diff --git a/nodedb-raster/src/tiff/file_header.rs b/nodedb-raster/src/tiff/file_header.rs new file mode 100644 index 000000000..a756f18f5 --- /dev/null +++ b/nodedb-raster/src/tiff/file_header.rs @@ -0,0 +1,126 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The TIFF file header: byte order, classic or BigTIFF, first IFD. + +use crate::tiff::byte_order::{ByteOrder, array}; +use crate::tiff::error::TiffFormatError; + +const CLASSIC_MAGIC: u16 = 42; +const BIG_MAGIC: u16 = 43; +/// Bytes a BigTIFF header occupies; a classic header is 8. +pub const MAX_HEADER_LEN: u64 = 16; + +/// Classic TIFF or BigTIFF, in one byte order. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct Format { + pub order: ByteOrder, + pub big: bool, +} + +impl Format { + /// Bytes of one IFD entry. + pub const fn entry_len(self) -> u64 { + if self.big { 20 } else { 12 } + } + + /// Bytes of the entry count that opens an IFD. + pub const fn count_len(self) -> u64 { + if self.big { 8 } else { 2 } + } + + /// Bytes of an offset: the next-IFD link and an out-of-line value. + pub const fn offset_len(self) -> u64 { + if self.big { 8 } else { 4 } + } + + /// Bytes of an IFD with `count` entries, or `None` on overflow. + pub const fn ifd_len(self, count: u64) -> Option { + match count.checked_mul(self.entry_len()) { + Some(entries) => entries.checked_add(self.count_len() + self.offset_len()), + None => None, + } + } +} + +/// The parsed file header. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct FileHeader { + pub format: Format, + pub first_ifd: u64, +} + +/// Parse the header at the start of `bytes`. `bytes` holds the first +/// [`MAX_HEADER_LEN`] bytes of the file, fewer for a shorter file. +pub fn parse_header(bytes: &[u8]) -> Result { + let truncated = |len| TiffFormatError::Truncated { + offset: 0, + len, + end: bytes.len() as u64, + }; + let order = match bytes.get(..2) { + Some(b"II") => ByteOrder::Little, + Some(b"MM") => ByteOrder::Big, + Some(_) => return Err(TiffFormatError::NotTiff), + None => return Err(truncated(8)), + }; + let magic = array::<2>(bytes, 2) + .map(|raw| order.u16(raw)) + .ok_or(truncated(8))?; + match magic { + CLASSIC_MAGIC => { + let first = array::<4>(bytes, 4).ok_or(truncated(8))?; + Ok(FileHeader { + format: Format { order, big: false }, + first_ifd: u64::from(order.u32(first)), + }) + } + BIG_MAGIC => { + let raw = array::<2>(bytes, 4).ok_or(truncated(MAX_HEADER_LEN))?; + let offset_size = order.u16(raw); + if offset_size != 8 { + return Err(TiffFormatError::BigTiffOffsetSize { offset_size }); + } + let first = array::<8>(bytes, 8).ok_or(truncated(MAX_HEADER_LEN))?; + Ok(FileHeader { + format: Format { order, big: true }, + first_ifd: order.u64(first), + }) + } + _ => Err(TiffFormatError::NotTiff), + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn classic_and_big_headers_parse_in_both_orders() { + let classic = parse_header(b"II*\0\x08\0\0\0").expect("classic"); + assert_eq!(classic.first_ifd, 8); + assert!(!classic.format.big); + let big = parse_header(b"MM\0+\0\x08\0\0\0\0\0\0\0\0\0\x10").expect("big"); + assert_eq!(big.first_ifd, 16); + assert_eq!(big.format.order, ByteOrder::Big); + assert!(big.format.big); + assert_eq!(big.format.ifd_len(2), Some(8 + 40 + 8)); + } + + #[test] + fn garbage_and_short_headers_are_typed_errors() { + assert_eq!(parse_header(b"hello"), Err(TiffFormatError::NotTiff)); + assert!(matches!( + parse_header(b"II*"), + Err(TiffFormatError::Truncated { .. }) + )); + assert!(matches!( + parse_header(b""), + Err(TiffFormatError::Truncated { .. }) + )); + assert_eq!( + parse_header(b"II+\0\x04\0\0\0"), + Err(TiffFormatError::BigTiffOffsetSize { offset_size: 4 }) + ); + assert_eq!(parse_header(b"II\x2b\x01"), Err(TiffFormatError::NotTiff)); + } +} diff --git a/nodedb-raster/src/tiff/gdal_metadata.rs b/nodedb-raster/src/tiff/gdal_metadata.rs new file mode 100644 index 000000000..288cb8da5 --- /dev/null +++ b/nodedb-raster/src/tiff/gdal_metadata.rs @@ -0,0 +1,222 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The `GDAL_METADATA` tag (42112): GDAL's XML band metadata. +//! +//! ```xml +//! +//! 0.0000275 +//! -0.2 +//! red +//! +//! ``` +//! +//! Only per-band items (those with a `sample` attribute) are read: name +//! (`description`), `scale`, `offset`, `unittype`, a nodata item +//! (`NODATA` or `_FillValue`), and `valid_range` / `valid_min` / +//! `valid_max`. Other items are ignored. + +use std::collections::BTreeMap; + +use crate::error::RasterError; +use crate::nodata::parse_gdal_nodata; + +/// The metadata of one band. +#[derive(Debug, Clone, Default, PartialEq)] +pub struct BandMetadata { + pub name: Option, + pub scale: Option, + pub offset: Option, + pub units: Option, + pub nodata: Option, + pub valid_min: Option, + pub valid_max: Option, +} + +impl BandMetadata { + /// The valid range, when both ends are known. + pub fn valid_range(&self) -> Option<(f64, f64)> { + self.valid_min.zip(self.valid_max) + } +} + +/// One parsed ``. +#[derive(Debug, Default)] +struct Item { + name: String, + sample: Option, + role: Option, + text: String, +} + +/// Per-band metadata by zero-based band index. +pub fn parse_gdal_metadata(xml: &str) -> Result, RasterError> { + let mut bands: BTreeMap = BTreeMap::new(); + let mut rest = xml; + while let Some(start) = rest.find("() + .map_err(|_| RasterError::InvalidMetadata { + name: "sample".to_owned(), + text: sample.clone(), + })?; + apply(bands.entry(band).or_default(), &item)?; + } + Ok(bands) +} + +/// Fold one item into its band. +fn apply(band: &mut BandMetadata, item: &Item) -> Result<(), RasterError> { + let role = item + .role + .as_deref() + .unwrap_or_default() + .to_ascii_lowercase(); + let name = item.name.to_ascii_lowercase(); + let text = item.text.trim(); + let number = || { + text.parse::() + .map_err(|_| RasterError::InvalidMetadata { + name: item.name.clone(), + text: text.to_owned(), + }) + }; + match (role.as_str(), name.as_str()) { + ("description", _) | (_, "description") => band.name = Some(text.to_owned()), + ("scale", _) | ("", "scale") => band.scale = Some(number()?), + ("offset", _) | ("", "offset") => band.offset = Some(number()?), + ("unittype", _) | ("", "units") => band.units = Some(text.to_owned()), + (_, "nodata" | "_fillvalue") => band.nodata = Some(parse_gdal_nodata(text)?), + (_, "valid_min") => band.valid_min = Some(number()?), + (_, "valid_max") => band.valid_max = Some(number()?), + (_, "valid_range") => { + let (min, max) = parse_range(text).ok_or(RasterError::InvalidMetadata { + name: item.name.clone(), + text: text.to_owned(), + })?; + band.valid_min = Some(min); + band.valid_max = Some(max); + } + _ => {} + } + Ok(()) +} + +/// Two numbers, comma or space separated, optionally in braces. +fn parse_range(text: &str) -> Option<(f64, f64)> { + let inner = text + .trim() + .trim_start_matches(['{', '[', '(']) + .trim_end_matches(['}', ']', ')']); + let mut numbers = inner + .split(|c: char| c == ',' || c.is_whitespace()) + .filter(|part| !part.is_empty()) + .map(str::parse::); + let min = numbers.next()?.ok()?; + let max = numbers.next()?.ok()?; + numbers.next().is_none().then_some((min, max)) +} + +/// Parse the attributes and text of an item whose ` Option<(Item, &str)> { + let close = input.find('>')?; + let (attrs, after) = (input.get(..close)?, input.get(close + 1..)?); + let mut item = Item::default(); + let self_closing = attrs.trim_end().ends_with('/'); + let mut rest = attrs.trim_end_matches('/'); + while let Some(eq) = rest.find('=') { + let key = rest.get(..eq)?.trim(); + let value_part = rest.get(eq + 1..)?.trim_start(); + let quote = value_part.chars().next()?; + if quote != '"' && quote != '\'' { + return None; + } + let body = value_part.get(1..)?; + let end = body.find(quote)?; + let value = unescape(body.get(..end)?); + match key { + "name" => item.name = value, + "sample" => item.sample = Some(value), + "role" => item.role = Some(value), + _ => {} + } + rest = body.get(end + 1..)?; + } + if self_closing { + return Some((item, after)); + } + let end = after.find("")?; + item.text = unescape(after.get(..end)?); + Some((item, after.get(end + "".len()..)?)) +} + +/// Replace the five predefined XML entities. +fn unescape(text: &str) -> String { + text.replace("<", "<") + .replace(">", ">") + .replace(""", "\"") + .replace("'", "'") + .replace("&", "&") +} + +#[cfg(test)] +mod tests { + use super::*; + + const XML: &str = r#" + Area + 2.75e-05 + -0.2 + red & nir + K + -9999 + {1, 65455} + +"#; + + #[test] + fn per_band_items_parse() { + let bands = parse_gdal_metadata(XML).expect("parses"); + let red = &bands[&0]; + assert_eq!(red.scale, Some(2.75e-05)); + assert_eq!(red.offset, Some(-0.2)); + assert_eq!(red.name.as_deref(), Some("red & nir")); + let second = &bands[&1]; + assert_eq!(second.units.as_deref(), Some("K")); + assert_eq!(second.nodata, Some(-9999.0)); + assert_eq!(second.valid_range(), Some((1.0, 65455.0))); + assert!(bands.contains_key(&2)); + assert_eq!(bands.len(), 3, "dataset items are ignored"); + } + + #[test] + fn bad_numbers_are_typed_errors() { + let bad = r#"wide"#; + assert!(matches!( + parse_gdal_metadata(bad), + Err(RasterError::InvalidMetadata { .. }) + )); + let bad_band = r#"1"#; + assert!(matches!( + parse_gdal_metadata(bad_band), + Err(RasterError::InvalidMetadata { .. }) + )); + } + + #[test] + fn truncated_xml_stops_without_error() { + assert!(parse_gdal_metadata(r#", + pub geokeys: Option, + pub crs: CrsRef, + /// `GDAL_NODATA`, shared by every band. + pub nodata: Option, + pub metadata: BTreeMap, +} + +impl GeoInfo { + /// Read the georeference tags of `values`, the first image's IFD. + pub fn read(values: &TagValues<'_>) -> Result { + let geokeys = read_geokeys(values)?; + let pixel_scale = values.f64s(MODEL_PIXEL_SCALE)?; + let tiepoints = values.f64s(MODEL_TIEPOINT)?; + let transformation = values.f64s(MODEL_TRANSFORMATION)?; + let transform = transform_from_tags(ModelTags { + pixel_scale: pixel_scale.as_deref(), + tiepoints: tiepoints.as_deref(), + transformation: transformation.as_deref(), + raster_type: geokeys.as_ref().and_then(|keys| keys.short(GT_RASTER_TYPE)), + })?; + let crs = crs_ref_from_geokeys(geokeys.as_ref())?; + let nodata = values + .ascii(GDAL_NODATA)? + .map(|text| parse_gdal_nodata(&text)) + .transpose()?; + let metadata = match values.ascii(GDAL_METADATA)? { + Some(xml) => parse_gdal_metadata(&xml)?, + None => BTreeMap::new(), + }; + Ok(Self { + transform, + geokeys, + crs, + nodata, + metadata, + }) + } + + /// The band list of an image with `bands` bands of `sample_type`. + pub fn bands(&self, bands: u16, sample_type: SampleType) -> Vec { + (0..u32::from(bands)) + .map(|band| { + let meta = self.metadata.get(&band); + BandInfo { + name: meta.and_then(|m| m.name.clone()), + sample_type, + nodata: meta.and_then(|m| m.nodata).or(self.nodata), + scale: meta.and_then(|m| m.scale), + offset: meta.and_then(|m| m.offset), + valid_range: meta.and_then(BandMetadata::valid_range), + units: meta.and_then(|m| m.units.clone()), + } + }) + .collect() + } +} + +/// The GeoKey directory with its parameter arrays, when the file has one. +fn read_geokeys(values: &TagValues<'_>) -> Result, RasterError> { + let Some(directory) = values.u16s(GEO_KEY_DIRECTORY)? else { + return Ok(None); + }; + let doubles = values.f64s(GEO_DOUBLE_PARAMS)?; + let ascii = values.ascii(GEO_ASCII_PARAMS)?; + let keys = GeoKeyDirectory::parse(&directory, doubles.as_deref(), ascii.as_deref())?; + Ok(Some(keys)) +} diff --git a/nodedb-raster/src/geokeys.rs b/nodedb-raster/src/tiff/geokeys.rs similarity index 78% rename from nodedb-raster/src/geokeys.rs rename to nodedb-raster/src/tiff/geokeys.rs index 7d85a8f91..5638ba28f 100644 --- a/nodedb-raster/src/geokeys.rs +++ b/nodedb-raster/src/tiff/geokeys.rs @@ -20,6 +20,72 @@ pub const GT_RASTER_TYPE: u16 = 1025; pub const GEOGRAPHIC_TYPE: u16 = 2048; /// `ProjectedCRSGeoKey` (`ProjectedCSTypeGeoKey` in GeoTIFF 1.0). pub const PROJECTED_CS_TYPE: u16 = 3072; +/// `GeodeticDatumGeoKey`: EPSG datum code, or 32767. +pub const GEODETIC_DATUM: u16 = 2050; +/// `PrimeMeridianGeoKey`: EPSG prime meridian code, or 32767. +pub const PRIME_MERIDIAN: u16 = 2051; +/// `GeogAngularUnitsGeoKey`: EPSG angle unit code, or 32767. +pub const GEOG_ANGULAR_UNITS: u16 = 2054; +/// `GeogAngularUnitSizeGeoKey`: radians per user-defined angle unit. +pub const GEOG_ANGULAR_UNIT_SIZE: u16 = 2055; +/// `EllipsoidGeoKey`: EPSG ellipsoid code, or 32767. +pub const ELLIPSOID: u16 = 2056; +/// `EllipsoidSemiMajorAxisGeoKey`, in the geodetic linear unit. +pub const SEMI_MAJOR_AXIS: u16 = 2057; +/// `EllipsoidSemiMinorAxisGeoKey`. +pub const SEMI_MINOR_AXIS: u16 = 2058; +/// `EllipsoidInvFlatteningGeoKey`. +pub const INV_FLATTENING: u16 = 2059; +/// `GeogAzimuthUnitsGeoKey`: EPSG angle unit of azimuths. +pub const GEOG_AZIMUTH_UNITS: u16 = 2060; +/// `PrimeMeridianLongitudeGeoKey`, in the angular unit. +pub const PRIME_MERIDIAN_LONGITUDE: u16 = 2061; +/// `ProjectionGeoKey`: EPSG conversion code, or 32767. +pub const PROJECTION: u16 = 3074; +/// `ProjMethodGeoKey` (`ProjCoordTransGeoKey` in GeoTIFF 1.0). +pub const PROJ_METHOD: u16 = 3075; +/// `ProjLinearUnitsGeoKey`: EPSG length unit code, or 32767. +pub const PROJ_LINEAR_UNITS: u16 = 3076; +/// `ProjLinearUnitSizeGeoKey`: metres per user-defined length unit. +pub const PROJ_LINEAR_UNIT_SIZE: u16 = 3077; +/// `ProjStdParallel1GeoKey`. +pub const PROJ_STD_PARALLEL_1: u16 = 3078; +/// `ProjStdParallel2GeoKey`. +pub const PROJ_STD_PARALLEL_2: u16 = 3079; +/// `ProjNatOriginLongGeoKey`. +pub const PROJ_NAT_ORIGIN_LONG: u16 = 3080; +/// `ProjNatOriginLatGeoKey`. +pub const PROJ_NAT_ORIGIN_LAT: u16 = 3081; +/// `ProjFalseEastingGeoKey`. +pub const PROJ_FALSE_EASTING: u16 = 3082; +/// `ProjFalseNorthingGeoKey`. +pub const PROJ_FALSE_NORTHING: u16 = 3083; +/// `ProjFalseOriginLongGeoKey`. +pub const PROJ_FALSE_ORIGIN_LONG: u16 = 3084; +/// `ProjFalseOriginLatGeoKey`. +pub const PROJ_FALSE_ORIGIN_LAT: u16 = 3085; +/// `ProjFalseOriginEastingGeoKey`. +pub const PROJ_FALSE_ORIGIN_EASTING: u16 = 3086; +/// `ProjFalseOriginNorthingGeoKey`. +pub const PROJ_FALSE_ORIGIN_NORTHING: u16 = 3087; +/// `ProjCenterLongGeoKey`. +pub const PROJ_CENTER_LONG: u16 = 3088; +/// `ProjCenterLatGeoKey`. +pub const PROJ_CENTER_LAT: u16 = 3089; +/// `ProjCenterEastingGeoKey`. +pub const PROJ_CENTER_EASTING: u16 = 3090; +/// `ProjCenterNorthingGeoKey`. +pub const PROJ_CENTER_NORTHING: u16 = 3091; +/// `ProjScaleAtNatOriginGeoKey`. +pub const PROJ_SCALE_AT_NAT_ORIGIN: u16 = 3092; +/// `ProjScaleAtCenterGeoKey`. +pub const PROJ_SCALE_AT_CENTER: u16 = 3093; +/// `ProjAzimuthAngleGeoKey`, in the azimuth unit. +pub const PROJ_AZIMUTH_ANGLE: u16 = 3094; +/// `ProjStraightVertPoleLongGeoKey`. +pub const PROJ_STRAIGHT_VERT_POLE_LONG: u16 = 3095; +/// `ProjRectifiedGridAngleGeoKey`, in the azimuth unit. +pub const PROJ_RECTIFIED_GRID_ANGLE: u16 = 3096; const DIRECTORY_TAG: u16 = 34735; const DOUBLE_PARAMS_TAG: u16 = 34736; @@ -180,6 +246,14 @@ impl GeoKeyDirectory { } } + /// The first double of `key`, when `key` holds doubles. + pub fn double(&self, key: u16) -> Option { + match self.get(key)? { + GeoKeyValue::Double(values) => values.first().copied(), + GeoKeyValue::Short(_) | GeoKeyValue::Ascii(_) => None, + } + } + /// The number of keys. pub fn len(&self) -> usize { self.keys.len() diff --git a/nodedb-raster/src/tiff/ifd.rs b/nodedb-raster/src/tiff/ifd.rs new file mode 100644 index 000000000..f05722c00 --- /dev/null +++ b/nodedb-raster/src/tiff/ifd.rs @@ -0,0 +1,243 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! One IFD: its entry table and the link to the next IFD. + +use crate::limits::checked_raster_capacity; +use crate::tiff::byte_order::array; +use crate::tiff::error::TiffFormatError; +use crate::tiff::file_header::Format; +use crate::tiff::tags::FieldType; + +/// Most entries one IFD may declare. Real images use a few dozen. +pub const MAX_IFD_ENTRIES: u64 = 4096; + +/// Where an entry's value bytes are. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ValueLocation { + /// In the entry itself: the first `len` bytes of `raw`. + Inline { raw: [u8; 8], len: usize }, + /// `len` bytes at file offset `offset`. + At { offset: u64, len: u64 }, +} + +/// One IFD entry of a known field type. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct Entry { + pub tag: u16, + pub kind: FieldType, + pub count: u64, + pub location: ValueLocation, +} + +impl Entry { + /// The value's byte length. + pub fn byte_len(&self) -> u64 { + match self.location { + ValueLocation::Inline { len, .. } => len as u64, + ValueLocation::At { len, .. } => len, + } + } +} + +/// A parsed IFD. Entries of unknown field type are skipped. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct Ifd { + pub offset: u64, + pub entries: Vec, + pub next: u64, +} + +impl Ifd { + /// The entry of `tag`, when present. + pub fn entry(&self, tag: u16) -> Option<&Entry> { + self.entries.iter().find(|entry| entry.tag == tag) + } +} + +/// The entry count of the IFD whose first bytes are `head`. +pub fn entry_count(format: Format, offset: u64, head: &[u8]) -> Result { + let truncated = TiffFormatError::Truncated { + offset, + len: format.count_len(), + end: offset.saturating_add(head.len() as u64), + }; + let count = if format.big { + format.order.u64(array::<8>(head, 0).ok_or(truncated)?) + } else { + u64::from(format.order.u16(array::<2>(head, 0).ok_or(truncated)?)) + }; + if count > MAX_IFD_ENTRIES { + return Err(TiffFormatError::TooManyEntries { + offset, + count, + limit: MAX_IFD_ENTRIES, + }); + } + Ok(count) +} + +/// Parse the IFD at file offset `offset` from `bytes`, which start at that +/// offset and hold the whole IFD. +pub fn parse_ifd(format: Format, offset: u64, bytes: &[u8]) -> Result { + let count = entry_count(format, offset, bytes)?; + let total = format + .ifd_len(count) + .ok_or(TiffFormatError::TooManyEntries { + offset, + count, + limit: MAX_IFD_ENTRIES, + })?; + if (bytes.len() as u64) < total { + return Err(TiffFormatError::Truncated { + offset, + len: total, + end: offset.saturating_add(bytes.len() as u64), + }); + } + // `count` is at most MAX_IFD_ENTRIES, so these fit any usize. + let entry_len = format.entry_len() as usize; + let first = format.count_len() as usize; + let capacity = checked_raster_capacity(count as usize)?; + let mut entries = Vec::with_capacity(capacity); + for index in 0..count as usize { + let at = first + index * entry_len; + if let Some(entry) = parse_entry(format, bytes, at)? { + entries.push(entry); + } + } + let next_at = first + count as usize * entry_len; + let next = if format.big { + array::<8>(bytes, next_at).map(|raw| format.order.u64(raw)) + } else { + array::<4>(bytes, next_at).map(|raw| u64::from(format.order.u32(raw))) + } + .unwrap_or(0); + Ok(Ifd { + offset, + entries, + next, + }) +} + +/// The entry at `at`, or `None` for an unknown field type. +fn parse_entry(format: Format, bytes: &[u8], at: usize) -> Result, TiffFormatError> { + let order = format.order; + let short = |off: usize| array::<2>(bytes, at + off).map(|raw| order.u16(raw)); + let (Some(tag), Some(code)) = (short(0), short(2)) else { + return Ok(None); + }; + let (count, value_at) = if format.big { + let count = array::<8>(bytes, at + 4).map(|raw| order.u64(raw)); + (count, at + 12) + } else { + let count = array::<4>(bytes, at + 4).map(|raw| u64::from(order.u32(raw))); + (count, at + 8) + }; + let inline_len = format.offset_len() as usize; + let (Some(count), Some(field)) = (count, bytes.get(value_at..value_at + inline_len)) else { + return Ok(None); + }; + let Some(kind) = FieldType::from_code(code) else { + return Ok(None); + }; + let len = count + .checked_mul(kind.width()) + .ok_or(TiffFormatError::ValueOverflow { tag })?; + let location = if len <= inline_len as u64 { + let mut raw = [0u8; 8]; + raw[..inline_len].copy_from_slice(field); + ValueLocation::Inline { + raw, + len: len as usize, + } + } else { + let offset = if format.big { + array::<8>(field, 0).map(|raw| order.u64(raw)) + } else { + array::<4>(field, 0).map(|raw| u64::from(order.u32(raw))) + } + .unwrap_or(0); + offset + .checked_add(len) + .ok_or(TiffFormatError::ValueOverflow { tag })?; + ValueLocation::At { offset, len } + }; + Ok(Some(Entry { + tag, + kind, + count, + location, + })) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::tiff::byte_order::ByteOrder; + + const CLASSIC_LE: Format = Format { + order: ByteOrder::Little, + big: false, + }; + + fn entry(tag: u16, kind: u16, count: u32, value: u32) -> Vec { + let mut out = tag.to_le_bytes().to_vec(); + out.extend(kind.to_le_bytes()); + out.extend(count.to_le_bytes()); + out.extend(value.to_le_bytes()); + out + } + + #[test] + fn entries_parse_inline_and_out_of_line() { + let mut bytes = 3u16.to_le_bytes().to_vec(); + bytes.extend(entry(256, 3, 1, 640)); + bytes.extend(entry(273, 4, 10, 1000)); + bytes.extend(entry(999, 77, 1, 0)); + bytes.extend(500u32.to_le_bytes()); + let ifd = parse_ifd(CLASSIC_LE, 8, &bytes).expect("parses"); + assert_eq!(ifd.next, 500); + assert_eq!(ifd.entries.len(), 2, "the unknown type is skipped"); + let width = ifd.entry(256).expect("width"); + assert!(matches!( + width.location, + ValueLocation::Inline { len: 2, .. } + )); + let offsets = ifd.entry(273).expect("offsets"); + assert_eq!( + offsets.location, + ValueLocation::At { + offset: 1000, + len: 40 + } + ); + } + + #[test] + fn truncated_and_oversized_tables_are_typed_errors() { + let mut bytes = 2u16.to_le_bytes().to_vec(); + bytes.extend(entry(256, 3, 1, 640)); + assert!(matches!( + parse_ifd(CLASSIC_LE, 8, &bytes), + Err(TiffFormatError::Truncated { .. }) + )); + assert!(matches!( + entry_count(CLASSIC_LE, 8, &u16::MAX.to_le_bytes()), + Err(TiffFormatError::TooManyEntries { .. }) + )); + let big = Format { + order: ByteOrder::Little, + big: true, + }; + let mut huge = 1u64.to_le_bytes().to_vec(); + huge.extend(273u16.to_le_bytes()); + huge.extend(16u16.to_le_bytes()); + huge.extend(u64::MAX.to_le_bytes()); + huge.extend(0u64.to_le_bytes()); + huge.extend(0u64.to_le_bytes()); + assert_eq!( + parse_ifd(big, 16, &huge), + Err(TiffFormatError::ValueOverflow { tag: 273 }) + ); + } +} diff --git a/nodedb-raster/src/tiff/image.rs b/nodedb-raster/src/tiff/image.rs new file mode 100644 index 000000000..b1aabc6d8 --- /dev/null +++ b/nodedb-raster/src/tiff/image.rs @@ -0,0 +1,299 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! One image IFD read into what its blocks decode with: the block grid, +//! the codec, the predictor and the block index. + +use crate::codec::compression::{CODE_NONE, Compression, LercWrap}; +use crate::codec::predictor::Predictor; +use crate::error::RasterError; +use crate::layout::{BlockKind, Interleave, RasterLayout}; +use crate::limits::RasterLimits; +use crate::sample::{FORMAT_UINT, SampleType}; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::error::{TiffFormatError, UnsupportedTiff}; +use crate::tiff::tags::{ + BITS_PER_SAMPLE, COMPRESSION, IMAGE_LENGTH, IMAGE_WIDTH, JPEG_TABLES, LERC_PARAMETERS, + PHOTOMETRIC, PLANAR_CONFIG, PREDICTOR, ROWS_PER_STRIP, SAMPLE_FORMAT, SAMPLES_PER_PIXEL, + STRIP_BYTE_COUNTS, STRIP_OFFSETS, TILE_BYTE_COUNTS, TILE_LENGTH, TILE_OFFSETS, TILE_WIDTH, + YCBCR_SUBSAMPLING, +}; +use crate::tiff::tile_index::ChunkIndex; +use crate::tiff::values::TagValues; + +/// Photometric interpretations. +const PHOTOMETRIC_BLACK_IS_ZERO: u16 = 1; +const PHOTOMETRIC_RGB: u16 = 2; +const PHOTOMETRIC_SEPARATED: u16 = 5; +const PHOTOMETRIC_YCBCR: u16 = 6; +/// Largest side of a JPEG frame. +const MAX_JPEG_SIDE: u32 = 65535; + +/// A decodable image IFD. +#[derive(Debug, Clone, PartialEq)] +pub struct TiffImage { + pub layout: RasterLayout, + pub order: ByteOrder, + pub compression: Compression, + pub predictor: Predictor, + /// `JPEGTables`, for JPEG chunks. + pub jpeg_tables: Option>, + pub index: ChunkIndex, +} + +impl TiffImage { + /// Read the image IFD of `values`. + pub fn read(values: &TagValues<'_>, limits: RasterLimits) -> Result { + let width = required_u32(values, IMAGE_WIDTH, "ImageWidth")?; + let height = required_u32(values, IMAGE_LENGTH, "ImageLength")?; + let samples = values.u16_value(SAMPLES_PER_PIXEL)?.unwrap_or(1); + if samples == 0 { + return Err(TiffFormatError::TagValue { + tag: SAMPLES_PER_PIXEL, + value: 0, + } + .into()); + } + let bits = per_sample(values, BITS_PER_SAMPLE, 1)?; + let format = per_sample(values, SAMPLE_FORMAT, FORMAT_UINT)?; + let sample_type = SampleType::from_tiff(format, bits)?; + let interleave = match values.uint(PLANAR_CONFIG)?.unwrap_or(1) { + 1 => Interleave::Chunky, + 2 => Interleave::Planar, + value => { + return Err(TiffFormatError::TagValue { + tag: PLANAR_CONFIG, + value, + } + .into()); + } + }; + let compression = Compression::from_code( + values.u16_value(COMPRESSION)?.unwrap_or(CODE_NONE), + lerc_wrap(values)?, + )?; + let chunk_samples = match interleave { + Interleave::Chunky => samples, + Interleave::Planar => 1, + }; + check_photometric(values, samples, compression)?; + let (kind, block_width, block_height) = block_shape(values, width, height)?; + if compression == Compression::Jpeg { + check_jpeg(sample_type, chunk_samples, block_width, block_height)?; + } + let predictor = if compression.takes_predictor() { + Predictor::from_code(values.u16_value(PREDICTOR)?.unwrap_or(1), sample_type)? + } else { + Predictor::None + }; + let too_many = TiffFormatError::TooManyBlocks { + width, + height, + block_width, + block_height, + }; + let blocks_across = width.div_ceil(block_width); + let blocks_down = height.div_ceil(block_height); + let per_plane = blocks_across + .checked_mul(blocks_down) + .ok_or(too_many.clone())?; + let planes = match interleave { + Interleave::Chunky => 1, + Interleave::Planar => u64::from(samples), + }; + let chunks = u64::from(per_plane) * planes; + let layout = RasterLayout { + width, + height, + bands: samples, + sample_type, + kind, + interleave, + block_width, + block_height, + blocks_across, + blocks_down, + }; + let needed_bytes = layout.block_bytes(); + if needed_bytes > limits.block_bytes as u64 { + return Err(RasterError::BlockTooLarge { + needed_bytes, + limit_bytes: limits.block_bytes, + }); + } + let index = match kind { + BlockKind::Tiles => ChunkIndex::read( + values, + (TILE_OFFSETS, "TileOffsets"), + (TILE_BYTE_COUNTS, "TileByteCounts"), + chunks, + )?, + BlockKind::Strips => ChunkIndex::read( + values, + (STRIP_OFFSETS, "StripOffsets"), + (STRIP_BYTE_COUNTS, "StripByteCounts"), + chunks, + )?, + }; + let jpeg_tables = match compression { + Compression::Jpeg => values + .raw(JPEG_TABLES)? + .map(|(_, bytes)| bytes.into_owned()), + Compression::Stream(_) | Compression::Lerc(_) => None, + }; + Ok(Self { + layout, + order: values.order, + compression, + predictor, + jpeg_tables, + index, + }) + } + + /// Samples per pixel in one chunk. + pub fn chunk_samples(&self) -> usize { + match self.layout.interleave { + Interleave::Chunky => usize::from(self.layout.bands), + Interleave::Planar => 1, + } + } + + /// Rows of the chunk whose first row is `row_off`: a full tile, or a + /// strip cropped to the image. + pub fn chunk_rows(&self, row_off: u32) -> u32 { + match self.layout.kind { + BlockKind::Tiles => self.layout.block_height, + BlockKind::Strips => self.layout.block_height.min(self.layout.height - row_off), + } + } +} + +/// A required, non-zero u32 tag. +pub fn required_u32( + values: &TagValues<'_>, + tag: u16, + name: &'static str, +) -> Result { + let value = values + .uint(tag)? + .ok_or(TiffFormatError::MissingTag { tag, name })?; + u32::try_from(value) + .ok() + .filter(|v| *v > 0) + .ok_or(TiffFormatError::TagValue { tag, value }.into()) +} + +/// The one value a per-sample tag holds for every sample. Every sample +/// must share it. +fn per_sample(values: &TagValues<'_>, tag: u16, default: u16) -> Result { + let Some(all) = values.uints(tag)? else { + return Ok(default); + }; + let first = all.first().copied().ok_or(TiffFormatError::TagCount { + tag, + found: 0, + expected: 1, + })?; + let first = + u16::try_from(first).map_err(|_| TiffFormatError::TagValue { tag, value: first })?; + if let Some(&other) = all.iter().find(|v| **v != u64::from(first)) { + let other = u16::try_from(other).unwrap_or(u16::MAX); + return Err(match tag { + BITS_PER_SAMPLE => UnsupportedTiff::MixedBitsPerSample { first, other }, + _ => UnsupportedTiff::MixedSampleFormats { first, other }, + } + .into()); + } + Ok(first) +} + +/// The LERC wrapper from `LercParameters` `[version, compression]`. +fn lerc_wrap(values: &TagValues<'_>) -> Result { + let code = values + .uints(LERC_PARAMETERS)? + .and_then(|params| params.get(1).copied()) + .unwrap_or(0); + LercWrap::from_code(code).ok_or(UnsupportedTiff::LercCompression { code }.into()) +} + +/// Refuse a photometric interpretation whose samples need a transform the +/// reader does not apply. +fn check_photometric( + values: &TagValues<'_>, + samples: u16, + compression: Compression, +) -> Result<(), RasterError> { + let default = if samples >= 3 { + PHOTOMETRIC_RGB + } else { + PHOTOMETRIC_BLACK_IS_ZERO + }; + match values.u16_value(PHOTOMETRIC)?.unwrap_or(default) { + PHOTOMETRIC_BLACK_IS_ZERO | PHOTOMETRIC_RGB | PHOTOMETRIC_SEPARATED => Ok(()), + PHOTOMETRIC_YCBCR if compression == Compression::Jpeg => Ok(()), + PHOTOMETRIC_YCBCR => { + let sub = values + .uints(YCBCR_SUBSAMPLING)? + .unwrap_or_else(|| vec![2, 2]); + let horizontal = sub.first().copied().unwrap_or(2); + let vertical = sub.get(1).copied().unwrap_or(2); + if horizontal == 1 && vertical == 1 { + Ok(()) + } else { + Err(UnsupportedTiff::YCbCrSubsampling { + horizontal: u16::try_from(horizontal).unwrap_or(u16::MAX), + vertical: u16::try_from(vertical).unwrap_or(u16::MAX), + } + .into()) + } + } + code => Err(RasterError::UnsupportedPhotometric { code }), + } +} + +/// Strips or tiles, and the stored block size. +fn block_shape( + values: &TagValues<'_>, + width: u32, + height: u32, +) -> Result<(BlockKind, u32, u32), RasterError> { + if values.ifd.entry(TILE_WIDTH).is_some() { + let tile_width = required_u32(values, TILE_WIDTH, "TileWidth")?; + let tile_height = required_u32(values, TILE_LENGTH, "TileLength")?; + return Ok((BlockKind::Tiles, tile_width, tile_height)); + } + let rows = match values.uint(ROWS_PER_STRIP)? { + None => height, + Some(0) => { + return Err(TiffFormatError::TagValue { + tag: ROWS_PER_STRIP, + value: 0, + } + .into()); + } + Some(rows) => u32::try_from(rows).unwrap_or(u32::MAX).min(height), + }; + Ok((BlockKind::Strips, width, rows)) +} + +/// Refuse a JPEG image the decoder cannot produce. +fn check_jpeg( + sample_type: SampleType, + chunk_samples: u16, + width: u32, + height: u32, +) -> Result<(), RasterError> { + if sample_type != SampleType::U8 { + return Err(UnsupportedTiff::JpegSampleType { sample_type }.into()); + } + if chunk_samples != 1 && chunk_samples != 3 { + return Err(UnsupportedTiff::JpegSamples { + samples: chunk_samples, + } + .into()); + } + if width > MAX_JPEG_SIDE || height > MAX_JPEG_SIDE { + return Err(UnsupportedTiff::JpegFrameSize { width, height }.into()); + } + Ok(()) +} diff --git a/nodedb-raster/src/tiff/mask.rs b/nodedb-raster/src/tiff/mask.rs new file mode 100644 index 000000000..89b158b22 --- /dev/null +++ b/nodedb-raster/src/tiff/mask.rs @@ -0,0 +1,225 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The internal mask of an image: a 1- or 8-bit IFD flagged +//! `NewSubfileType` bit 4. A zero sample masks its pixel out. +//! +//! The mask has its own block grid. The reader names every mask chunk a +//! data block overlaps and fills the block's mask from them. + +use crate::codec::compression::{CODE_NONE, Compression, LercWrap, StreamCodec}; +use crate::codec::predictor::{Predictor, PredictorShape}; +use crate::error::RasterError; +use crate::layout::{BlockKind, BlockWindow}; +use crate::limits::RasterLimits; +use crate::sample::SampleType; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::error::UnsupportedTiff; +use crate::tiff::image::required_u32; +use crate::tiff::tags::{ + BITS_PER_SAMPLE, COMPRESSION, IMAGE_LENGTH, IMAGE_WIDTH, PREDICTOR, ROWS_PER_STRIP, + STRIP_BYTE_COUNTS, STRIP_OFFSETS, TILE_BYTE_COUNTS, TILE_LENGTH, TILE_OFFSETS, TILE_WIDTH, +}; +use crate::tiff::tile_index::{ChunkIndex, ChunkSpan}; +use crate::tiff::values::TagValues; + +/// A decodable mask IFD. +#[derive(Debug, Clone, PartialEq)] +pub struct MaskImage { + pub width: u32, + pub height: u32, + pub kind: BlockKind, + pub block_width: u32, + pub block_height: u32, + pub blocks_across: u32, + /// 1 or 8. + pub bits: u16, + pub order: ByteOrder, + pub codec: StreamCodec, + pub predictor: Predictor, + pub index: ChunkIndex, +} + +impl MaskImage { + /// Read the mask IFD of `values`. + pub fn read(values: &TagValues<'_>, limits: RasterLimits) -> Result { + let width = required_u32(values, IMAGE_WIDTH, "ImageWidth")?; + let height = required_u32(values, IMAGE_LENGTH, "ImageLength")?; + let bits = values.u16_value(BITS_PER_SAMPLE)?.unwrap_or(1); + if bits != 1 && bits != 8 { + return Err(UnsupportedTiff::MaskBits { bits }.into()); + } + let code = values.u16_value(COMPRESSION)?.unwrap_or(CODE_NONE); + let codec = match Compression::from_code(code, LercWrap::None)? { + Compression::Stream(codec) => codec, + Compression::Jpeg | Compression::Lerc(_) => { + return Err(RasterError::UnsupportedCompression { code }); + } + }; + let compression = Compression::Stream(codec); + let predictor = if bits == 8 && compression.takes_predictor() { + Predictor::from_code(values.u16_value(PREDICTOR)?.unwrap_or(1), SampleType::U8)? + } else { + Predictor::None + }; + let tiled = values.ifd.entry(TILE_WIDTH).is_some(); + let (kind, block_width, block_height) = if tiled { + ( + BlockKind::Tiles, + required_u32(values, TILE_WIDTH, "TileWidth")?, + required_u32(values, TILE_LENGTH, "TileLength")?, + ) + } else { + let rows = values + .uint(ROWS_PER_STRIP)? + .map_or(height, |rows| { + u32::try_from(rows).unwrap_or(u32::MAX).min(height) + }) + .max(1); + (BlockKind::Strips, width, rows) + }; + let blocks_across = width.div_ceil(block_width); + let blocks_down = height.div_ceil(block_height); + let chunks = u64::from(blocks_across) * u64::from(blocks_down); + let mask = Self { + width, + height, + kind, + block_width, + block_height, + blocks_across, + bits, + order: values.order, + codec, + predictor, + index: match kind { + BlockKind::Tiles => ChunkIndex::read( + values, + (TILE_OFFSETS, "TileOffsets"), + (TILE_BYTE_COUNTS, "TileByteCounts"), + chunks, + )?, + BlockKind::Strips => ChunkIndex::read( + values, + (STRIP_OFFSETS, "StripOffsets"), + (STRIP_BYTE_COUNTS, "StripByteCounts"), + chunks, + )?, + }, + }; + let needed_bytes = mask.chunk_bytes(0); + if needed_bytes > limits.block_bytes as u64 { + return Err(RasterError::BlockTooLarge { + needed_bytes, + limit_bytes: limits.block_bytes, + }); + } + Ok(mask) + } + + /// Bytes per stored row: rows pad to whole bytes. + fn row_bytes(&self) -> u64 { + (u64::from(self.block_width) * u64::from(self.bits)).div_ceil(8) + } + + /// Rows of the chunk whose first row is `row_off`. + fn chunk_rows(&self, row_off: u32) -> u32 { + match self.kind { + BlockKind::Tiles => self.block_height, + BlockKind::Strips => self.block_height.min(self.height - row_off), + } + } + + /// Decoded bytes of the chunk whose first row is `row_off`. + fn chunk_bytes(&self, row_off: u32) -> u64 { + self.row_bytes() * u64::from(self.chunk_rows(row_off)) + } + + /// The mask chunks `window` overlaps, as `(chunk index, column offset, + /// row offset)`. + pub fn chunks_for(&self, window: &BlockWindow) -> Vec<(u64, u32, u32)> { + if window.width == 0 + || window.height == 0 + || window.col_off >= self.width + || window.row_off >= self.height + { + return Vec::new(); + } + let last_col = (window.col_off + window.width - 1).min(self.width - 1); + let last_row = (window.row_off + window.height - 1).min(self.height - 1); + let (first_x, last_x) = ( + window.col_off / self.block_width, + last_col / self.block_width, + ); + let (first_y, last_y) = ( + window.row_off / self.block_height, + last_row / self.block_height, + ); + let mut chunks = Vec::new(); + for y in first_y..=last_y { + for x in first_x..=last_x { + let index = u64::from(y) * u64::from(self.blocks_across) + u64::from(x); + chunks.push((index, x * self.block_width, y * self.block_height)); + } + } + chunks + } + + /// The file bytes of chunk `index`. + pub fn span(&self, index: u64) -> Result { + self.index.span(index) + } + + /// Mark the window pixels the chunk at `(col, row)` covers, from its + /// compressed `data`. A sparse chunk masks its pixels out. + pub fn apply_chunk( + &self, + data: Option<&[u8]>, + (col, row): (u32, u32), + window: &BlockWindow, + mask: &mut [bool], + ) -> Result<(), RasterError> { + let rows = self.chunk_rows(row); + let row_bytes = usize::try_from(self.row_bytes()).unwrap_or(usize::MAX); + let raw = match data { + Some(data) => { + let expected = row_bytes.saturating_mul(rows as usize); + let mut raw = self.codec.decompress(data, expected)?; + self.predictor.undo( + &mut raw, + PredictorShape { + row_samples: self.block_width as usize, + stride: 1, + sample_type: SampleType::U8, + order: self.order, + }, + ); + Some(raw) + } + None => None, + }; + let row_end = row.saturating_add(rows).min(window.row_off + window.height); + let col_end = col + .saturating_add(self.block_width) + .min(window.col_off + window.width); + for y in row.max(window.row_off)..row_end { + for x in col.max(window.col_off)..col_end { + let valid = raw.as_deref().is_some_and(|raw| { + let (cx, cy) = ((x - col) as usize, (y - row) as usize); + let line = cy * row_bytes; + if self.bits == 1 { + raw.get(line + cx / 8) + .is_some_and(|byte| byte & (0x80 >> (cx % 8)) != 0) + } else { + raw.get(line + cx).is_some_and(|byte| *byte != 0) + } + }); + let at = (y - window.row_off) as usize * window.width as usize + + (x - window.col_off) as usize; + if let Some(slot) = mask.get_mut(at) { + *slot = valid; + } + } + } + Ok(()) + } +} diff --git a/nodedb-raster/src/tiff/mod.rs b/nodedb-raster/src/tiff/mod.rs new file mode 100644 index 000000000..66368b265 --- /dev/null +++ b/nodedb-raster/src/tiff/mod.rs @@ -0,0 +1,27 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The TIFF and BigTIFF container: header, IFD chain, tags, block index, +//! internal masks, and the GeoTIFF and GDAL tags. + +pub mod byte_order; +pub mod chain; +pub mod decode; +pub mod error; +pub mod fetch; +pub mod file_header; +pub mod gdal_metadata; +pub mod geo; +pub mod geokeys; +pub mod ifd; +pub mod image; +pub mod mask; +pub mod opener; +pub mod reader; +pub mod samples; +pub mod tags; +pub mod tile_index; +pub mod transform; +pub mod values; + +pub use opener::TiffOpener; +pub use reader::TiffReader; diff --git a/nodedb-raster/src/tiff/opener.rs b/nodedb-raster/src/tiff/opener.rs new file mode 100644 index 000000000..864b16095 --- /dev/null +++ b/nodedb-raster/src/tiff/opener.rs @@ -0,0 +1,207 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `TiffOpener`: the sans-IO open of a TIFF or BigTIFF image. +//! +//! The first round asks for the first 64 KiB: the header and, in a +//! cloud-optimised GeoTIFF, every IFD. Later rounds ask for IFDs and tag +//! values that lie further. The opener walks the whole IFD chain, picks +//! the full-resolution image or an overview, and the mask IFD of the same +//! size and subfile kind. Georeference and band metadata come from the +//! first image; an overview's geotransform is scaled to its size. + +use nodedb_crs::GeoTransform; + +use crate::error::RasterError; +use crate::header::RasterHeader; +use crate::limits::RasterLimits; +use crate::reader::traits::{Opened, RasterOpener}; +use crate::source::cache::RangeCache; +use crate::source::range::ObjectId; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::chain::{IfdSummary, read_ifd, walk}; +use crate::tiff::error::TiffFormatError; +use crate::tiff::fetch::Fetcher; +use crate::tiff::file_header::{MAX_HEADER_LEN, parse_header}; +use crate::tiff::geo::GeoInfo; +use crate::tiff::ifd::Ifd; +use crate::tiff::image::TiffImage; +use crate::tiff::mask::MaskImage; +use crate::tiff::reader::TiffReader; +use crate::tiff::tags::{GEO_TAGS, IMAGE_TAGS}; +use crate::tiff::values::{TagValues, prefetch}; + +/// Opens one image of a TIFF object. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct TiffOpener { + object: ObjectId, + image: u32, +} + +impl Default for TiffOpener { + fn default() -> Self { + Self::new() + } +} + +impl TiffOpener { + /// The full-resolution image of object 0. + pub const fn new() -> Self { + Self { + object: ObjectId(0), + image: 0, + } + } + + /// Read `object` instead of object 0. + pub const fn with_object(self, object: ObjectId) -> Self { + Self { + object, + image: self.image, + } + } + + /// Open image `image`: 0 is full resolution, `n` the n-th overview. + pub const fn with_image(self, image: u32) -> Self { + Self { + object: self.object, + image, + } + } +} + +impl RasterOpener for TiffOpener { + type Reader = TiffReader; + + fn open( + &self, + cache: &RangeCache, + limits: RasterLimits, + ) -> Result, RasterError> { + let mut fetcher = Fetcher::new(cache, self.object); + let Some(head) = fetcher.prefix(0, MAX_HEADER_LEN)? else { + return Ok(Opened::Need(fetcher.into_need())); + }; + let file = parse_header(head)?; + let format = file.format; + let Some(chain) = walk(&mut fetcher, format, file.first_ifd, limits.header_bytes)? else { + return Ok(Opened::Need(fetcher.into_need())); + }; + let (first, selected, mask) = pick(&chain, self.image)?; + let first_ifd = read_ifd(&mut fetcher, format, first.offset)? + .ok_or(RasterError::OpenStalled { rounds: 0 })?; + let selected_ifd = read_ifd(&mut fetcher, format, selected.offset)? + .ok_or(RasterError::OpenStalled { rounds: 0 })?; + let mask_ifd = match mask { + Some(summary) => Some( + read_ifd(&mut fetcher, format, summary.offset)? + .ok_or(RasterError::OpenStalled { rounds: 0 })?, + ), + None => None, + }; + prefetch( + &selected_ifd, + &IMAGE_TAGS, + &mut fetcher, + limits.header_bytes, + )?; + prefetch(&first_ifd, &GEO_TAGS, &mut fetcher, limits.header_bytes)?; + if let Some(ifd) = &mask_ifd { + prefetch(ifd, &IMAGE_TAGS, &mut fetcher, limits.header_bytes)?; + } + if fetcher.pending() { + return Ok(Opened::Need(fetcher.into_need())); + } + let read = Reading { + cache, + object: self.object, + order: format.order, + header_bytes: limits.header_bytes, + }; + let image = TiffImage::read(&read.values(&selected_ifd), limits)?; + let geo = GeoInfo::read(&read.values(&first_ifd))?; + let mask = mask_ifd + .as_ref() + .map(|ifd| MaskImage::read(&read.values(ifd), limits)) + .transpose()?; + let transform = geo.transform.map(|gt| { + let mut terms = gt.0; + let sx = first.width as f64 / f64::from(image.layout.width); + let sy = first.height as f64 / f64::from(image.layout.height); + terms[1] *= sx; + terms[2] *= sy; + terms[4] *= sx; + terms[5] *= sy; + GeoTransform(terms) + }); + let header = RasterHeader { + width: image.layout.width, + height: image.layout.height, + outer: Vec::new(), + bands: geo.bands(image.layout.bands, image.layout.sample_type), + transform, + crs: geo.crs.clone(), + }; + Ok(Opened::Ready(TiffReader { + object: self.object, + header, + image, + mask, + geokeys: geo.geokeys, + limits, + })) + } +} + +/// What every tag read of one open round shares. +struct Reading<'a> { + cache: &'a RangeCache, + object: ObjectId, + order: ByteOrder, + header_bytes: usize, +} + +impl<'a> Reading<'a> { + fn values<'b>(&self, ifd: &'b Ifd) -> TagValues<'b> + where + 'a: 'b, + { + TagValues { + ifd, + cache: self.cache, + object: self.object, + order: self.order, + header_bytes: self.header_bytes, + } + } +} + +/// The first image, the selected image, and the selected image's mask. +fn pick( + chain: &[IfdSummary], + image: u32, +) -> Result<(IfdSummary, IfdSummary, Option), RasterError> { + let mut images = chain.iter().filter(|ifd| !ifd.mask); + let first = *images.next().ok_or(TiffFormatError::NoImage)?; + if first.reduced { + return Err(RasterError::ReducedResolutionFirstImage); + } + let count = u32::try_from(chain.iter().filter(|ifd| !ifd.mask).count()).unwrap_or(u32::MAX); + let selected = *chain + .iter() + .filter(|ifd| !ifd.mask) + .nth(image as usize) + .ok_or(RasterError::ImageOutOfRange { + index: image, + count, + })?; + let mask = chain + .iter() + .find(|ifd| { + ifd.mask + && ifd.width == selected.width + && ifd.height == selected.height + && ifd.reduced == selected.reduced + }) + .copied(); + Ok((first, selected, mask)) +} diff --git a/nodedb-raster/src/tiff/reader.rs b/nodedb-raster/src/tiff/reader.rs new file mode 100644 index 000000000..20c479b5f --- /dev/null +++ b/nodedb-raster/src/tiff/reader.rs @@ -0,0 +1,234 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `TiffReader`: one opened TIFF image, decoded block by block. +//! +//! A block's ranges are its data chunks (one, or one per band when +//! planar) followed by the internal mask chunks it overlaps. The internal +//! mask applies to every band. A LERC mask applies to its own band. + +use crate::block::{BandSamples, RasterBlock}; +use crate::error::RasterError; +use crate::header::RasterHeader; +use crate::layout::{BlockWindow, Interleave, RasterLayout}; +use crate::limits::RasterLimits; +use crate::reader::traits::RasterReader; +use crate::source::range::{ByteRange, ObjectId}; +use crate::tiff::decode::decode_chunk; +use crate::tiff::error::TiffFormatError; +use crate::tiff::geokeys::GeoKeyDirectory; +use crate::tiff::image::TiffImage; +use crate::tiff::mask::MaskImage; +use crate::tiff::samples::{RawChunk, crop_mask, split_bands, zeroed}; +use crate::tiff::tile_index::ChunkSpan; + +/// An opened TIFF image. +#[derive(Debug, Clone)] +pub struct TiffReader { + pub(crate) object: ObjectId, + pub(crate) header: RasterHeader, + pub(crate) image: TiffImage, + pub(crate) mask: Option, + pub(crate) geokeys: Option, + pub(crate) limits: RasterLimits, +} + +/// One validity mask per band, `None` where every pixel of the band is valid. +type BandMasks = Vec>>; + +impl TiffReader { + /// The block grid and band layout. + pub fn layout(&self) -> &RasterLayout { + &self.image.layout + } + + /// The GeoKey directory of the first image, when the file has one. + pub fn geokeys(&self) -> Option<&GeoKeyDirectory> { + self.geokeys.as_ref() + } + + /// True when the image has an internal mask. + pub fn has_mask(&self) -> bool { + self.mask.is_some() + } + + /// The data chunks of block `index`: one, or one per band when planar. + fn data_chunks(&self, index: u32) -> Vec { + let per_plane = u64::from(self.image.layout.block_count()); + match self.image.layout.interleave { + Interleave::Chunky => vec![u64::from(index)], + Interleave::Planar => (0..u64::from(self.image.layout.bands)) + .map(|band| band * per_plane + u64::from(index)) + .collect(), + } + } + + /// The range of `span`, refusing a chunk over the block cap. + fn range_of(&self, span: ChunkSpan) -> Result { + if span.is_sparse() { + return Ok(ByteRange::new(self.object, span.offset, span.offset)); + } + if span.len > self.limits.block_bytes as u64 { + return Err(RasterError::BlockTooLarge { + needed_bytes: span.len, + limit_bytes: self.limits.block_bytes, + }); + } + Ok(ByteRange::new( + self.object, + span.offset, + span.offset + span.len, + )) + } + + /// Decode the data chunks of `window` into bands and their LERC masks, + /// one mask per band. + fn decode_bands( + &self, + index: u32, + window: &BlockWindow, + spans: &[ChunkSpan], + bytes: &[Option<&[u8]>], + ) -> Result<(Vec, BandMasks), RasterError> { + let layout = &self.image.layout; + let (cols, rows) = (window.width as usize, window.height as usize); + let chunk_rows = self.image.chunk_rows(window.row_off); + let mut bands = Vec::with_capacity(usize::from(layout.bands)); + let mut masks = Vec::with_capacity(usize::from(layout.bands)); + for (span, data) in spans.iter().zip(bytes) { + if span.is_sparse() { + for _ in 0..self.image.chunk_samples() { + bands.push(zeroed(layout.sample_type, cols * rows)); + masks.push(Some(vec![false; cols * rows])); + } + continue; + } + let data = present(*data, *span, self.object)?; + let decoded = decode_chunk(&self.image, data, chunk_rows)?; + let chunk = RawChunk { + bytes: &decoded.bytes, + order: decoded.order, + width: layout.block_width as usize, + samples: self.image.chunk_samples(), + sample_type: layout.sample_type, + }; + let needed = chunk.needed(cols, rows); + if decoded.bytes.len() < needed { + return Err(RasterError::ShortBlock { + index, + found: decoded.bytes.len(), + expected: needed, + }); + } + bands.extend(split_bands(&chunk, cols, rows)); + for sample in 0..self.image.chunk_samples() { + masks.push(decoded.masks.get(sample).and_then(|mask| { + mask.as_ref() + .map(|mask| crop_mask(mask, layout.block_width as usize, cols, rows)) + })); + } + } + Ok((bands, masks)) + } +} + +/// The bytes of a fetched chunk: the whole span, or a typed error. +fn present(data: Option<&[u8]>, span: ChunkSpan, object: ObjectId) -> Result<&[u8], RasterError> { + let data = data.ok_or(RasterError::SourceMissing { object: object.0 })?; + if (data.len() as u64) < span.len { + return Err(TiffFormatError::Truncated { + offset: span.offset, + len: span.len, + end: span.offset.saturating_add(data.len() as u64), + } + .into()); + } + Ok(data) +} + +impl RasterReader for TiffReader { + fn header(&self) -> &RasterHeader { + &self.header + } + + fn block_count(&self) -> u32 { + self.image.layout.block_count() + } + + fn block_window(&self, index: u32) -> Result { + self.image.layout.window(index) + } + + fn block_ranges(&self, index: u32) -> Result, RasterError> { + let window = self.image.layout.window(index)?; + let mut ranges = Vec::new(); + for chunk in self.data_chunks(index) { + ranges.push(self.range_of(self.image.index.span(chunk)?)?); + } + if let Some(mask) = &self.mask { + for (chunk, _, _) in mask.chunks_for(&window) { + ranges.push(self.range_of(mask.span(chunk)?)?); + } + } + Ok(ranges) + } + + fn decode_block( + &self, + index: u32, + bytes: &[Option<&[u8]>], + ) -> Result { + let window = self.image.layout.window(index)?; + let data_chunks = self.data_chunks(index); + let mask_chunks = self + .mask + .as_ref() + .map(|mask| mask.chunks_for(&window)) + .unwrap_or_default(); + let expected = data_chunks.len() + mask_chunks.len(); + if bytes.len() != expected { + return Err(RasterError::BlockBuffers { + index, + found: bytes.len(), + expected, + }); + } + let (data_bytes, mask_bytes) = bytes.split_at(data_chunks.len()); + let spans = data_chunks + .iter() + .map(|chunk| self.image.index.span(*chunk)) + .collect::, _>>()?; + let (bands, mut masks) = self.decode_bands(index, &window, &spans, data_bytes)?; + if let Some(mask_image) = &self.mask { + let mut internal = vec![true; window.pixels()]; + for ((chunk, col, row), data) in mask_chunks.iter().zip(mask_bytes) { + let span = mask_image.span(*chunk)?; + let data = if span.is_sparse() { + None + } else { + Some(present(*data, span, self.object)?) + }; + mask_image.apply_chunk(data, (*col, *row), &window, &mut internal)?; + } + for mask in &mut masks { + *mask = Some(match mask.take() { + None => internal.clone(), + Some(lerc) => lerc.iter().zip(&internal).map(|(a, b)| *a && *b).collect(), + }); + } + } + for mask in &mut masks { + if mask + .as_ref() + .is_some_and(|flags| flags.iter().all(|valid| *valid)) + { + *mask = None; + } + } + Ok(RasterBlock { + index, + window, + bands, + masks, + }) + } +} diff --git a/nodedb-raster/src/tiff/samples.rs b/nodedb-raster/src/tiff/samples.rs new file mode 100644 index 000000000..6d4130c6c --- /dev/null +++ b/nodedb-raster/src/tiff/samples.rs @@ -0,0 +1,171 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Raw chunk bytes to typed per-band samples, cropped to the block window. + +use crate::block::BandSamples; +use crate::sample::SampleType; +use crate::tiff::byte_order::ByteOrder; + +/// One decoded chunk: `samples` interleaved samples per pixel, `width` +/// pixels per row, stored in `order`. +#[derive(Debug, Clone, Copy)] +pub struct RawChunk<'a> { + pub bytes: &'a [u8], + pub order: ByteOrder, + pub width: usize, + pub samples: usize, + pub sample_type: SampleType, +} + +impl RawChunk<'_> { + /// Bytes the top-left `cols x rows` window reads. + pub fn needed(&self, cols: usize, rows: usize) -> usize { + if cols == 0 || rows == 0 { + return 0; + } + ((rows - 1) * self.width + cols) * self.samples * self.sample_type.byte_len() + } +} + +/// A fixed-width sample read from bytes in a byte order. +trait Sample: Copy { + const WIDTH: usize; + fn read(raw: &[u8], order: ByteOrder) -> Self; +} + +macro_rules! sample { + ($ty:ty, $width:expr) => { + impl Sample for $ty { + const WIDTH: usize = $width; + fn read(raw: &[u8], order: ByteOrder) -> Self { + let bytes: [u8; $width] = raw.try_into().unwrap_or_default(); + match order { + ByteOrder::Little => <$ty>::from_le_bytes(bytes), + ByteOrder::Big => <$ty>::from_be_bytes(bytes), + } + } + } + }; +} + +sample!(u8, 1); +sample!(i8, 1); +sample!(u16, 2); +sample!(i16, 2); +sample!(u32, 4); +sample!(i32, 4); +sample!(f32, 4); +sample!(f64, 8); + +/// One vector per chunk sample over the top-left `cols x rows` window. +/// The caller checks `chunk.needed(cols, rows) <= chunk.bytes.len()`. +fn split(chunk: &RawChunk<'_>, cols: usize, rows: usize) -> Vec> { + let pixels = cols * rows; + let mut bands: Vec> = (0..chunk.samples) + .map(|_| Vec::with_capacity(pixels)) + .collect(); + let pixel_bytes = chunk.samples * T::WIDTH; + for row in 0..rows { + let start = row * chunk.width * pixel_bytes; + let line = chunk + .bytes + .get(start..start + cols * pixel_bytes) + .unwrap_or_default(); + for pixel in line.chunks_exact(pixel_bytes) { + for (band, raw) in bands.iter_mut().zip(pixel.chunks_exact(T::WIDTH)) { + band.push(T::read(raw, chunk.order)); + } + } + } + bands +} + +/// The window's samples, one [`BandSamples`] per chunk sample. +pub fn split_bands(chunk: &RawChunk<'_>, cols: usize, rows: usize) -> Vec { + match chunk.sample_type { + SampleType::U8 => wrap(split::(chunk, cols, rows), BandSamples::U8), + SampleType::I8 => wrap(split::(chunk, cols, rows), BandSamples::I8), + SampleType::U16 => wrap(split::(chunk, cols, rows), BandSamples::U16), + SampleType::I16 => wrap(split::(chunk, cols, rows), BandSamples::I16), + SampleType::U32 => wrap(split::(chunk, cols, rows), BandSamples::U32), + SampleType::I32 => wrap(split::(chunk, cols, rows), BandSamples::I32), + SampleType::F32 => wrap(split::(chunk, cols, rows), BandSamples::F32), + SampleType::F64 => wrap(split::(chunk, cols, rows), BandSamples::F64), + } +} + +fn wrap(bands: Vec>, variant: fn(Vec) -> BandSamples) -> Vec { + bands.into_iter().map(variant).collect() +} + +/// `pixels` zero samples of `sample_type`. +pub fn zeroed(sample_type: SampleType, pixels: usize) -> BandSamples { + match sample_type { + SampleType::U8 => BandSamples::U8(vec![0; pixels]), + SampleType::I8 => BandSamples::I8(vec![0; pixels]), + SampleType::U16 => BandSamples::U16(vec![0; pixels]), + SampleType::I16 => BandSamples::I16(vec![0; pixels]), + SampleType::U32 => BandSamples::U32(vec![0; pixels]), + SampleType::I32 => BandSamples::I32(vec![0; pixels]), + SampleType::F32 => BandSamples::F32(vec![0.0; pixels]), + SampleType::F64 => BandSamples::F64(vec![0.0; pixels]), + } +} + +/// The top-left `cols x rows` window of a chunk mask `width` pixels wide. +pub fn crop_mask(mask: &[bool], width: usize, cols: usize, rows: usize) -> Vec { + (0..rows) + .flat_map(|row| (0..cols).map(move |col| row * width + col)) + .map(|at| mask.get(at).copied().unwrap_or(false)) + .collect() +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn chunky_samples_split_and_crop() { + // A 3-pixel-wide chunk of two big-endian u16 bands, 2 rows. + let mut bytes = Vec::new(); + for v in [1u16, 10, 2, 20, 3, 30, 4, 40, 5, 50, 6, 60] { + bytes.extend(v.to_be_bytes()); + } + let chunk = RawChunk { + bytes: &bytes, + order: ByteOrder::Big, + width: 3, + samples: 2, + sample_type: SampleType::U16, + }; + assert_eq!(chunk.needed(2, 2), (3 + 2) * 2 * 2); + assert_eq!( + split_bands(&chunk, 2, 2), + vec![ + BandSamples::U16(vec![1, 2, 4, 5]), + BandSamples::U16(vec![10, 20, 40, 50]) + ] + ); + } + + #[test] + fn floats_and_masks_crop() { + let bytes: Vec = [1.5f64, -2.0] + .iter() + .flat_map(|v| v.to_le_bytes()) + .collect(); + let chunk = RawChunk { + bytes: &bytes, + order: ByteOrder::Little, + width: 2, + samples: 1, + sample_type: SampleType::F64, + }; + assert_eq!(split_bands(&chunk, 1, 1), vec![BandSamples::F64(vec![1.5])]); + assert_eq!( + crop_mask(&[true, false, false, true], 2, 1, 2), + vec![true, false] + ); + assert_eq!(zeroed(SampleType::I8, 2), BandSamples::I8(vec![0, 0])); + } +} diff --git a/nodedb-raster/src/tiff/tags.rs b/nodedb-raster/src/tiff/tags.rs new file mode 100644 index 000000000..fb52ffd99 --- /dev/null +++ b/nodedb-raster/src/tiff/tags.rs @@ -0,0 +1,158 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! TIFF tag codes and field types the reader uses. + +pub const NEW_SUBFILE_TYPE: u16 = 254; +pub const SUBFILE_TYPE: u16 = 255; +pub const IMAGE_WIDTH: u16 = 256; +pub const IMAGE_LENGTH: u16 = 257; +pub const BITS_PER_SAMPLE: u16 = 258; +pub const COMPRESSION: u16 = 259; +pub const PHOTOMETRIC: u16 = 262; +pub const STRIP_OFFSETS: u16 = 273; +pub const SAMPLES_PER_PIXEL: u16 = 277; +pub const ROWS_PER_STRIP: u16 = 278; +pub const STRIP_BYTE_COUNTS: u16 = 279; +pub const PLANAR_CONFIG: u16 = 284; +pub const PREDICTOR: u16 = 317; +pub const TILE_WIDTH: u16 = 322; +pub const TILE_LENGTH: u16 = 323; +pub const TILE_OFFSETS: u16 = 324; +pub const TILE_BYTE_COUNTS: u16 = 325; +pub const SAMPLE_FORMAT: u16 = 339; +pub const JPEG_TABLES: u16 = 347; +pub const YCBCR_SUBSAMPLING: u16 = 530; +pub const MODEL_PIXEL_SCALE: u16 = 33550; +pub const MODEL_TIEPOINT: u16 = 33922; +pub const MODEL_TRANSFORMATION: u16 = 34264; +pub const GEO_KEY_DIRECTORY: u16 = 34735; +pub const GEO_DOUBLE_PARAMS: u16 = 34736; +pub const GEO_ASCII_PARAMS: u16 = 34737; +pub const GDAL_METADATA: u16 = 42112; +pub const GDAL_NODATA: u16 = 42113; +pub const LERC_PARAMETERS: u16 = 50674; + +/// `NewSubfileType` bit of a reduced-resolution image. +pub const SUBFILE_REDUCED: u64 = 1; +/// `NewSubfileType` bit of a transparency mask. +pub const SUBFILE_MASK: u64 = 4; +/// `SubfileType` value of a reduced-resolution image. +pub const OLD_SUBFILE_REDUCED: u64 = 2; + +/// Tags whose out-of-line values the image and mask decode reads. +pub const IMAGE_TAGS: [u16; 9] = [ + BITS_PER_SAMPLE, + SAMPLE_FORMAT, + STRIP_OFFSETS, + STRIP_BYTE_COUNTS, + TILE_OFFSETS, + TILE_BYTE_COUNTS, + JPEG_TABLES, + YCBCR_SUBSAMPLING, + LERC_PARAMETERS, +]; + +/// Tags whose out-of-line values the georeference read takes from the +/// first image. +pub const GEO_TAGS: [u16; 8] = [ + MODEL_PIXEL_SCALE, + MODEL_TIEPOINT, + MODEL_TRANSFORMATION, + GEO_KEY_DIRECTORY, + GEO_DOUBLE_PARAMS, + GEO_ASCII_PARAMS, + GDAL_METADATA, + GDAL_NODATA, +]; + +/// The block index tags, bounded by the header cap instead of the tag +/// value cap. +pub const fn is_block_index(tag: u16) -> bool { + matches!( + tag, + STRIP_OFFSETS | STRIP_BYTE_COUNTS | TILE_OFFSETS | TILE_BYTE_COUNTS + ) +} + +/// A TIFF field type. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum FieldType { + Byte, + Ascii, + Short, + Long, + Rational, + SByte, + Undefined, + SShort, + SLong, + SRational, + Float, + Double, + Ifd, + Long8, + SLong8, + Ifd8, +} + +impl FieldType { + /// The field type of code `code`, or `None` for an unknown code. + pub const fn from_code(code: u16) -> Option { + match code { + 1 => Some(FieldType::Byte), + 2 => Some(FieldType::Ascii), + 3 => Some(FieldType::Short), + 4 => Some(FieldType::Long), + 5 => Some(FieldType::Rational), + 6 => Some(FieldType::SByte), + 7 => Some(FieldType::Undefined), + 8 => Some(FieldType::SShort), + 9 => Some(FieldType::SLong), + 10 => Some(FieldType::SRational), + 11 => Some(FieldType::Float), + 12 => Some(FieldType::Double), + 13 => Some(FieldType::Ifd), + 16 => Some(FieldType::Long8), + 17 => Some(FieldType::SLong8), + 18 => Some(FieldType::Ifd8), + _ => None, + } + } + + /// The type code. + pub const fn code(self) -> u16 { + match self { + FieldType::Byte => 1, + FieldType::Ascii => 2, + FieldType::Short => 3, + FieldType::Long => 4, + FieldType::Rational => 5, + FieldType::SByte => 6, + FieldType::Undefined => 7, + FieldType::SShort => 8, + FieldType::SLong => 9, + FieldType::SRational => 10, + FieldType::Float => 11, + FieldType::Double => 12, + FieldType::Ifd => 13, + FieldType::Long8 => 16, + FieldType::SLong8 => 17, + FieldType::Ifd8 => 18, + } + } + + /// Bytes per value. + pub const fn width(self) -> u64 { + match self { + FieldType::Byte | FieldType::Ascii | FieldType::SByte | FieldType::Undefined => 1, + FieldType::Short | FieldType::SShort => 2, + FieldType::Long | FieldType::SLong | FieldType::Float | FieldType::Ifd => 4, + FieldType::Rational + | FieldType::SRational + | FieldType::Double + | FieldType::Long8 + | FieldType::SLong8 + | FieldType::Ifd8 => 8, + } + } +} diff --git a/nodedb-raster/src/tiff/tile_index.rs b/nodedb-raster/src/tiff/tile_index.rs new file mode 100644 index 000000000..c37c16e79 --- /dev/null +++ b/nodedb-raster/src/tiff/tile_index.rs @@ -0,0 +1,128 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The block index: `StripOffsets`/`TileOffsets` and their byte counts, +//! kept as the file stores them and decoded per lookup. + +use crate::error::RasterError; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::error::TiffFormatError; +use crate::tiff::tags::FieldType; +use crate::tiff::values::TagValues; + +/// One offset or byte count array. +#[derive(Debug, Clone, PartialEq, Eq)] +struct ChunkTable { + bytes: Vec, + width: usize, + order: ByteOrder, +} + +impl ChunkTable { + fn read( + values: &TagValues<'_>, + tag: u16, + name: &'static str, + chunks: u64, + ) -> Result { + let (entry, bytes) = values + .raw(tag)? + .ok_or(TiffFormatError::MissingTag { tag, name })?; + let width = match entry.kind { + FieldType::Short => 2, + FieldType::Long | FieldType::Ifd => 4, + FieldType::Long8 | FieldType::Ifd8 => 8, + FieldType::Byte + | FieldType::Ascii + | FieldType::Rational + | FieldType::SByte + | FieldType::Undefined + | FieldType::SShort + | FieldType::SLong + | FieldType::SRational + | FieldType::Float + | FieldType::Double + | FieldType::SLong8 => { + return Err(TiffFormatError::FieldType { + tag, + kind: entry.kind.code(), + } + .into()); + } + }; + if entry.count < chunks { + return Err(TiffFormatError::TagCount { + tag, + found: entry.count, + expected: chunks, + } + .into()); + } + Ok(Self { + bytes: bytes.into_owned(), + width, + order: values.order, + }) + } + + fn get(&self, index: u64) -> Option { + let at = usize::try_from(index).ok()?.checked_mul(self.width)?; + self.order.uint_at(&self.bytes, at, self.width) + } +} + +/// Where each chunk lies in the file. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct ChunkIndex { + offsets: ChunkTable, + counts: ChunkTable, + chunks: u64, +} + +/// One chunk's file bytes. A zero offset or length marks a chunk the file +/// omits. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct ChunkSpan { + pub offset: u64, + pub len: u64, +} + +impl ChunkSpan { + /// True for a chunk the file omits. + pub const fn is_sparse(&self) -> bool { + self.offset == 0 || self.len == 0 + } +} + +impl ChunkIndex { + /// Read the index of `chunks` chunks from the offset and byte count + /// tags. + pub fn read( + values: &TagValues<'_>, + (offsets_tag, offsets_name): (u16, &'static str), + (counts_tag, counts_name): (u16, &'static str), + chunks: u64, + ) -> Result { + Ok(Self { + offsets: ChunkTable::read(values, offsets_tag, offsets_name, chunks)?, + counts: ChunkTable::read(values, counts_tag, counts_name, chunks)?, + chunks, + }) + } + + /// The file bytes of chunk `chunk`. + pub fn span(&self, chunk: u64) -> Result { + let lookup = |table: &ChunkTable| { + table.get(chunk).ok_or(TiffFormatError::TagCount { + tag: 0, + found: chunk, + expected: self.chunks, + }) + }; + let offset = lookup(&self.offsets)?; + let len = lookup(&self.counts)?; + if offset.checked_add(len).is_none() { + return Err(TiffFormatError::ChunkOverflow { chunk, offset, len }.into()); + } + Ok(ChunkSpan { offset, len }) + } +} diff --git a/nodedb-raster/src/transform.rs b/nodedb-raster/src/tiff/transform.rs similarity index 69% rename from nodedb-raster/src/transform.rs rename to nodedb-raster/src/tiff/transform.rs index 4e97b0790..0f2db2832 100644 --- a/nodedb-raster/src/transform.rs +++ b/nodedb-raster/src/tiff/transform.rs @@ -1,21 +1,18 @@ // SPDX-License-Identifier: Apache-2.0 -//! The pixel-to-world affine transform, from the GeoTIFF model tags. +//! The pixel-to-world [`GeoTransform`], from the GeoTIFF model tags. //! -//! The transform uses GDAL order: `x = gt[0] + col·gt[1] + row·gt[2]` and -//! `y = gt[3] + col·gt[4] + row·gt[5]`, with `(col, row)` the pixel corner. +//! The transform maps the pixel corner `(col, row)` to world coordinates. //! Tag precedence follows GDAL: a tiepoint with a pixel scale wins over //! `ModelTransformationTag`. +use nodedb_crs::GeoTransform; + use crate::error::RasterError; /// `GTRasterTypeGeoKey` value of a raster whose tags name pixel centres. const PIXEL_IS_POINT: u16 = 2; -/// A GDAL-order affine geotransform from pixel corner to world coordinates. -#[derive(Debug, Clone, Copy, PartialEq)] -pub struct GeoTransform(pub [f64; 6]); - /// The georeferencing tags of IFD 0, as read from the file. #[derive(Debug, Clone, Copy, Default)] pub struct ModelTags<'a> { @@ -29,51 +26,36 @@ pub struct ModelTags<'a> { pub raster_type: Option, } -impl GeoTransform { - /// The transform the tags define, or `None` when the file carries no - /// model tags. - pub fn from_tags(tags: ModelTags<'_>) -> Result, RasterError> { - let base = match (tags.pixel_scale, tags.tiepoints, tags.transformation) { - (Some(scale), Some(tiepoints), _) => from_tiepoint(scale, tiepoints)?, - (Some(_), None, None) => return Err(RasterError::PixelScaleWithoutTiepoint), - (_, _, Some(matrix)) => from_matrix(matrix)?, - (None, Some(_), None) => return Err(RasterError::GroundControlPoints), - (None, None, None) => return Ok(None), - }; - let transform = if tags.raster_type == Some(PIXEL_IS_POINT) { - base.shifted_to_corner() - } else { - base - }; - transform.check()?; - Ok(Some(transform)) - } - - /// The world coordinate of the pixel corner `(col, row)`. - pub fn apply(&self, col: f64, row: f64) -> (f64, f64) { - let [x0, xc, xr, y0, yc, yr] = self.0; - (x0 + col * xc + row * xr, y0 + col * yc + row * yr) - } - - /// Move a PixelIsPoint origin from the first pixel's centre to its - /// corner, half a pixel up and left. - fn shifted_to_corner(self) -> Self { - let mut gt = self.0; - gt[0] -= 0.5 * gt[1] + 0.5 * gt[2]; - gt[3] -= 0.5 * gt[4] + 0.5 * gt[5]; - Self(gt) +/// The transform the tags define, or `None` when the file carries no model +/// tags. +pub fn transform_from_tags(tags: ModelTags<'_>) -> Result, RasterError> { + let base = match (tags.pixel_scale, tags.tiepoints, tags.transformation) { + (Some(scale), Some(tiepoints), _) => from_tiepoint(scale, tiepoints)?, + (Some(_), None, None) => return Err(RasterError::PixelScaleWithoutTiepoint), + (_, _, Some(matrix)) => from_matrix(matrix)?, + (None, Some(_), None) => return Err(RasterError::GroundControlPoints), + (None, None, None) => return Ok(None), + }; + let transform = if tags.raster_type == Some(PIXEL_IS_POINT) { + shifted_to_corner(base) + } else { + base + }; + if !transform.is_invertible() { + return Err(RasterError::DegenerateTransform { + transform: transform.0, + }); } + Ok(Some(transform)) +} - /// Refuse a non-finite term or a transform with a zero determinant. - fn check(&self) -> Result<(), RasterError> { - let gt = self.0; - let determinant = gt[1] * gt[5] - gt[2] * gt[4]; - if gt.iter().all(|term| term.is_finite()) && determinant != 0.0 && determinant.is_finite() { - Ok(()) - } else { - Err(RasterError::DegenerateTransform { transform: gt }) - } - } +/// Move a PixelIsPoint origin from the first pixel's centre to its corner, +/// half a pixel up and left. +fn shifted_to_corner(gt: GeoTransform) -> GeoTransform { + let mut terms = gt.0; + terms[0] -= 0.5 * terms[1] + 0.5 * terms[2]; + terms[3] -= 0.5 * terms[4] + 0.5 * terms[5]; + GeoTransform(terms) } /// `GT = [X − I·Sx, Sx, 0, Y + J·Sy, 0, −Sy]` from the first tiepoint. @@ -129,14 +111,14 @@ mod tests { #[test] fn no_model_tags_is_no_transform() { - assert_eq!(GeoTransform::from_tags(tags()).ok(), Some(None)); + assert_eq!(transform_from_tags(tags()).ok(), Some(None)); } #[test] fn tiepoint_and_scale() { let scale = [30.0, 30.0, 0.0]; let tie = [0.0, 0.0, 0.0, 600_000.0, 450_000.0, 0.0]; - let gt = GeoTransform::from_tags(ModelTags { + let gt = transform_from_tags(ModelTags { pixel_scale: Some(&scale), tiepoints: Some(&tie), ..tags() @@ -150,7 +132,7 @@ mod tests { fn tiepoint_at_a_nonzero_pixel_moves_the_origin() { let scale = [10.0, 5.0, 0.0]; let tie = [2.0, 3.0, 0.0, 1000.0, 2000.0, 0.0]; - let gt = GeoTransform::from_tags(ModelTags { + let gt = transform_from_tags(ModelTags { pixel_scale: Some(&scale), tiepoints: Some(&tie), ..tags() @@ -158,14 +140,14 @@ mod tests { .expect("valid") .expect("present"); assert_eq!(gt.0, [980.0, 10.0, 0.0, 2015.0, 0.0, -5.0]); - assert_eq!(gt.apply(2.0, 3.0), (1000.0, 2000.0)); + assert_eq!(gt.pixel_to_world(2.0, 3.0), (1000.0, 2000.0)); } #[test] fn pixel_is_point_shifts_half_a_pixel() { let scale = [10.0, 10.0, 0.0]; let tie = [0.0, 0.0, 0.0, 100.0, 200.0, 0.0]; - let gt = GeoTransform::from_tags(ModelTags { + let gt = transform_from_tags(ModelTags { pixel_scale: Some(&scale), tiepoints: Some(&tie), raster_type: Some(PIXEL_IS_POINT), @@ -184,7 +166,7 @@ mod tests { 0.0, 0.0, 0.0, 0.0, // 0.0, 0.0, 0.0, 1.0, ]; - let gt = GeoTransform::from_tags(ModelTags { + let gt = transform_from_tags(ModelTags { transformation: Some(&m), ..tags() }) @@ -201,7 +183,7 @@ mod tests { 0.0, 0.0, 0.0, 0.0, // 0.0, 0.0, 0.0, 1.0, ]; - let gt = GeoTransform::from_tags(ModelTags { + let gt = transform_from_tags(ModelTags { transformation: Some(&m), raster_type: Some(PIXEL_IS_POINT), ..tags() @@ -219,7 +201,7 @@ mod tests { m[2] = 4.0; m[15] = 1.0; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { transformation: Some(&m), ..tags() }), @@ -228,7 +210,7 @@ mod tests { m[2] = 0.0; m[15] = 2.0; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { transformation: Some(&m), ..tags() }), @@ -240,7 +222,7 @@ mod tests { fn tiepoints_without_scale_are_gcps() { let tie = [0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 10.0, 10.0, 0.0, 5.0, 6.0, 0.0]; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { tiepoints: Some(&tie), ..tags() }), @@ -252,7 +234,7 @@ mod tests { fn scale_without_tiepoint_is_refused() { let scale = [1.0, 1.0, 0.0]; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { pixel_scale: Some(&scale), ..tags() }), @@ -265,7 +247,7 @@ mod tests { let scale = [1.0]; let tie = [0.0; 6]; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { pixel_scale: Some(&scale), tiepoints: Some(&tie), ..tags() @@ -274,7 +256,7 @@ mod tests { )); let zero_scale = [0.0, 1.0, 0.0]; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { pixel_scale: Some(&zero_scale), tiepoints: Some(&tie), ..tags() @@ -283,7 +265,7 @@ mod tests { )); let nan_scale = [f64::NAN, 1.0, 0.0]; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { pixel_scale: Some(&nan_scale), tiepoints: Some(&tie), ..tags() @@ -292,7 +274,7 @@ mod tests { )); let short_matrix = [1.0; 9]; assert!(matches!( - GeoTransform::from_tags(ModelTags { + transform_from_tags(ModelTags { transformation: Some(&short_matrix), ..tags() }), diff --git a/nodedb-raster/src/tiff/values.rs b/nodedb-raster/src/tiff/values.rs new file mode 100644 index 000000000..117c2073b --- /dev/null +++ b/nodedb-raster/src/tiff/values.rs @@ -0,0 +1,248 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Typed tag values of one IFD, read from the open cache. +//! +//! An open round first calls [`prefetch`] for the tags it reads, so every +//! out-of-line value is cached before [`TagValues`] decodes it. Each value +//! is bounded: the block index by the header cap, any other tag by the tag +//! value cap. + +use std::borrow::Cow; + +use crate::error::RasterError; +use crate::limits::MAX_TAG_VALUE_BYTES; +use crate::source::cache::{Lookup, RangeCache}; +use crate::source::range::{ByteRange, ObjectId}; +use crate::tiff::byte_order::ByteOrder; +use crate::tiff::error::TiffFormatError; +use crate::tiff::fetch::Fetcher; +use crate::tiff::ifd::{Entry, Ifd, ValueLocation}; +use crate::tiff::tags::{FieldType, is_block_index}; + +/// The byte cap of `tag`'s value. +fn value_cap(tag: u16, header_bytes: usize) -> usize { + if is_block_index(tag) { + header_bytes + } else { + MAX_TAG_VALUE_BYTES + } +} + +/// Refuse a value over its cap. +fn check_cap(entry: &Entry, header_bytes: usize) -> Result<(), RasterError> { + let limit_bytes = value_cap(entry.tag, header_bytes); + if entry.byte_len() > limit_bytes as u64 { + return Err(RasterError::TagValueTooLarge { + tag: entry.tag, + bytes: entry.byte_len(), + limit_bytes, + }); + } + Ok(()) +} + +/// Record every out-of-line value of `tags` in `ifd` the cache lacks. +pub fn prefetch( + ifd: &Ifd, + tags: &[u16], + fetcher: &mut Fetcher<'_>, + header_bytes: usize, +) -> Result<(), RasterError> { + for &tag in tags { + let Some(entry) = ifd.entry(tag) else { + continue; + }; + check_cap(entry, header_bytes)?; + if let ValueLocation::At { offset, len } = entry.location { + fetcher.bytes(offset, len)?; + } + } + Ok(()) +} + +/// An entry and its value bytes. +pub type RawValue<'a> = (Entry, Cow<'a, [u8]>); + +/// Typed access to the cached tag values of one IFD. +#[derive(Debug, Clone, Copy)] +pub struct TagValues<'a> { + pub ifd: &'a Ifd, + pub cache: &'a RangeCache, + pub object: ObjectId, + pub order: ByteOrder, + pub header_bytes: usize, +} + +impl<'a> TagValues<'a> { + /// The value bytes of `tag`, when present. + pub fn raw(&self, tag: u16) -> Result>, RasterError> { + let Some(entry) = self.ifd.entry(tag).copied() else { + return Ok(None); + }; + check_cap(&entry, self.header_bytes)?; + let bytes = match entry.location { + ValueLocation::Inline { raw, len } => { + Cow::Owned(raw.get(..len).unwrap_or_default().to_vec()) + } + ValueLocation::At { offset, len } => { + let range = ByteRange::new(self.object, offset, offset.saturating_add(len)); + match self.cache.get(range) { + Lookup::Bytes(bytes) if bytes.len() as u64 == len => Cow::Borrowed(bytes), + Lookup::Bytes(bytes) => { + return Err(TiffFormatError::Truncated { + offset, + len, + end: offset.saturating_add(bytes.len() as u64), + } + .into()); + } + Lookup::Absent => { + return Err(RasterError::SourceMissing { + object: self.object.0, + }); + } + Lookup::Missing => return Err(RasterError::OpenStalled { rounds: 0 }), + } + } + }; + Ok(Some((entry, bytes))) + } + + /// The unsigned integers of `tag` (BYTE, SHORT, LONG, LONG8, IFD, + /// IFD8), when present. + pub fn uints(&self, tag: u16) -> Result>, RasterError> { + let Some((entry, bytes)) = self.raw(tag)? else { + return Ok(None); + }; + let width = match entry.kind { + FieldType::Byte | FieldType::Undefined => 1, + FieldType::Short => 2, + FieldType::Long | FieldType::Ifd => 4, + FieldType::Long8 | FieldType::Ifd8 => 8, + FieldType::Ascii + | FieldType::Rational + | FieldType::SByte + | FieldType::SShort + | FieldType::SLong + | FieldType::SRational + | FieldType::Float + | FieldType::Double + | FieldType::SLong8 => return Err(field_type(&entry)), + }; + let values = bytes + .chunks_exact(width) + .filter_map(|raw| self.order.uint_at(raw, 0, width)) + .collect(); + Ok(Some(values)) + } + + /// The first unsigned integer of `tag`, when present. + pub fn uint(&self, tag: u16) -> Result, RasterError> { + match self.uints(tag)? { + None => Ok(None), + Some(values) => values.first().copied().map(Some).ok_or( + TiffFormatError::TagCount { + tag, + found: 0, + expected: 1, + } + .into(), + ), + } + } + + /// The first value of `tag` as a u16, refusing larger values. + pub fn u16_value(&self, tag: u16) -> Result, RasterError> { + self.uint(tag)? + .map(|value| { + u16::try_from(value).map_err(|_| TiffFormatError::TagValue { tag, value }.into()) + }) + .transpose() + } + + /// The SHORT values of `tag`, when present. + pub fn u16s(&self, tag: u16) -> Result>, RasterError> { + let Some((entry, bytes)) = self.raw(tag)? else { + return Ok(None); + }; + if entry.kind != FieldType::Short { + return Err(field_type(&entry)); + } + let values = bytes + .as_chunks::<2>() + .0 + .iter() + .map(|raw| self.order.u16(*raw)) + .collect(); + Ok(Some(values)) + } + + /// The numbers of `tag` as doubles (DOUBLE, FLOAT, SHORT, LONG), when + /// present. + pub fn f64s(&self, tag: u16) -> Result>, RasterError> { + let Some((entry, bytes)) = self.raw(tag)? else { + return Ok(None); + }; + let order = self.order; + let values = match entry.kind { + FieldType::Double => bytes + .as_chunks::<8>() + .0 + .iter() + .map(|raw| f64::from_bits(order.u64(*raw))) + .collect(), + FieldType::Float => bytes + .as_chunks::<4>() + .0 + .iter() + .map(|raw| f64::from(f32::from_bits(order.u32(*raw)))) + .collect(), + FieldType::Short | FieldType::Long => { + let width = entry.kind.width() as usize; + bytes + .chunks_exact(width) + .filter_map(|raw| order.uint_at(raw, 0, width)) + .map(|value| value as f64) + .collect() + } + FieldType::Byte + | FieldType::Ascii + | FieldType::Rational + | FieldType::SByte + | FieldType::Undefined + | FieldType::SShort + | FieldType::SLong + | FieldType::SRational + | FieldType::Ifd + | FieldType::Long8 + | FieldType::SLong8 + | FieldType::Ifd8 => return Err(field_type(&entry)), + }; + Ok(Some(values)) + } + + /// The ASCII text of `tag` without its NUL terminators, when present. + pub fn ascii(&self, tag: u16) -> Result, RasterError> { + let Some((entry, bytes)) = self.raw(tag)? else { + return Ok(None); + }; + if !matches!( + entry.kind, + FieldType::Ascii | FieldType::Byte | FieldType::Undefined + ) { + return Err(field_type(&entry)); + } + let text = std::str::from_utf8(&bytes) + .map_err(|_| TiffFormatError::AsciiEncoding { tag })? + .trim_end_matches('\0'); + Ok(Some(text.to_owned())) + } +} + +fn field_type(entry: &Entry) -> RasterError { + TiffFormatError::FieldType { + tag: entry.tag, + kind: entry.kind.code(), + } + .into() +} diff --git a/nodedb-raster/tests/fixtures/cog-mask-0.mask.z b/nodedb-raster/tests/fixtures/cog-mask-0.mask.z new file mode 100644 index 0000000000000000000000000000000000000000..f7dcd68344313b3bff512c20f931789f9c232d57 GIT binary patch literal 35 tcmV+;0Nnq0+U?6R4FCWL12E>_GzPc{A?@D;uBw6WZ+!sxsR6003popf4`*qEI&NX4cc$hq9f zt9(m9V>DT_v_Q+XPFuA{hjmgHbY1uKRB!ZIKNW~VA~KMNQq-UsA^DRCjn_2I(PFLA zM(xmk4eE?8>y{qsh2HC%{%9Ctk%E6HL6hF*+d3X90pd@a*jZP9KW(g~f{HQm({ zz1AoFP(dUTkd9oGpc+l+!~n)Hixq6+2$y(3yY}g*PV16x>Vcl?oxbX~1`vZ}WT61% zs6#7yFpNnoU>$on#SNbE30RaR+N$p8v0mw;hV)M(5RWwEpcqwXLWB4$VL$=(SUaJVHDF?!X^%Ijyt^K8v%>4WXrMwE4MmpwH_O`Nn5aW+p|-< 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+The output directory defaults to the directory of this script. It needs +numpy, tifffile, imagecodecs and rasterio (GDAL 3.8 or later). The script +writes every fixture, checks each one by reading it back with GDAL or +tifffile, and writes manifest.tsv. + +Pattern fixtures hold value(band, y, x) of the counter +band * 97 + y * 31 + x * 7 + 1, cast with wrapping to the sample type +after the per-type offset below (floats: counter * 0.25 - 40). The Rust +tests compute the same pattern. Other fixtures store the expected samples +GDAL decodes as .raw.z (band-sequential, little-endian, zlib) and the +expected mask as .mask.z (one byte per pixel, 1 for valid, zlib). +""" + +import os +import sys +import warnings +import zlib + +import numpy as np +import rasterio +import rasterio.shutil +import tifffile +from rasterio.transform import from_origin + +warnings.filterwarnings("ignore", category=rasterio.errors.NotGeoreferencedWarning) + +OUT = os.path.abspath(sys.argv[1] if len(sys.argv) > 1 else os.path.dirname(__file__)) +OFFSETS = {"uint8": 0, "int8": 60, "uint16": 0, "int16": 300, "uint32": 0, "int32": 70000} +ROWS = [] + + +def pattern(bands, height, width, dtype): + b, y, x = np.meshgrid(np.arange(bands), np.arange(height), np.arange(width), indexing="ij") + counter = (b * 97 + y * 31 + x * 7 + 1).astype(np.int64) + if dtype in ("float32", "float64"): + return (counter * 0.25 - 40.0).astype(dtype) + bits = np.dtype(dtype).itemsize * 8 + wrapped = (counter - OFFSETS[dtype]) % (1 << bits) + unsigned = wrapped.astype(np.uint64).astype(f"uint{bits}") + return unsigned.view(dtype) + + +def path(name): + return os.path.join(OUT, name) + + +def row(rid, file, image, dtype, width, height, bands, expect="pattern", mask="-", tol=0): + ROWS.append((rid, file, str(image), dtype, str(width), str(height), str(bands), expect, mask, str(tol))) + + +def write_z(name, raw): + with open(path(name), "wb") as out: + out.write(zlib.compress(raw, 9)) + return name + + +def write_raw(rid, data): + raw = np.ascontiguousarray(data.astype(data.dtype.newbyteorder("<"))).tobytes() + return write_z(f"{rid}.raw.z", raw) + + +def write_mask(rid, mask): + return write_z(f"{rid}.mask.z", (np.asarray(mask) != 0).astype(np.uint8).tobytes()) + + +def matrix(): + """Every stream codec x predictor x strips/tiles x classic/BigTIFF x + chunky/planar, alternating the byte order.""" + width, height, bands = 20, 18, 2 + codecs = { + "none": None, + "lzw": "lzw", + "deflate": "adobe_deflate", + "packbits": "packbits", + "zstd": "zstd", + } + flip = False + for codec, tf_codec in codecs.items(): + predictors = [("p1", None, "uint16")] + if codec in ("lzw", "deflate", "zstd"): + predictors += [("p2", "horizontal", "uint16"), ("p3", "floatingpoint", "float32")] + for pname, predictor, dtype in predictors: + for layout in ("strip", "tile"): + for big in (False, True): + for planar in ("contig", "separate"): + flip = not flip + order = ">" if flip else "<" + rid = f"m-{codec}-{pname}-{layout}-{'big' if big else 'classic'}-{planar}-{'be' if flip else 'le'}" + data = pattern(bands, height, width, dtype) + array = data if planar == "separate" else np.moveaxis(data, 0, -1) + kwargs = dict( + bigtiff=big, + byteorder=order, + photometric="minisblack", + planarconfig=planar, + compression=tf_codec, + predictor=predictor, + metadata=None, + ) + if layout == "tile": + kwargs["tile"] = (16, 16) + else: + kwargs["rowsperstrip"] = 5 + tifffile.imwrite(path(rid + ".tif"), array, **kwargs) + back = tifffile.imread(path(rid + ".tif")) + back = back if planar == "separate" else np.moveaxis(back, -1, 0) + assert np.array_equal(back, data), rid + row(rid, rid + ".tif", 0, dtype, width, height, bands) + + +def sample_types(): + """Each sample type once, deflate tiles.""" + width, height = 20, 18 + for dtype in ("uint8", "int8", "int16", "uint32", "int32", "float64"): + rid = f"t-{dtype}" + data = pattern(1, height, width, dtype) + tifffile.imwrite( + path(rid + ".tif"), data[0], tile=(16, 16), compression="adobe_deflate", + photometric="minisblack", metadata=None, + ) + assert np.array_equal(tifffile.imread(path(rid + ".tif")), data[0]), rid + row(rid, rid + ".tif", 0, dtype, width, height, 1) + + +def gdal_write(name, data, **profile): + bands, height, width = data.shape + profile = dict(driver="GTiff", width=width, height=height, count=bands, dtype=data.dtype.name, **profile) + with rasterio.open(path(name), "w", **profile) as dst: + dst.write(data) + + +def lerc(): + """LERC, LERC_DEFLATE and LERC_ZSTD, chunky and planar, strips and + tiles; a float band with NaN gives a LERC mask.""" + width, height, bands = 20, 18, 2 + for comp in ("LERC", "LERC_DEFLATE", "LERC_ZSTD"): + for interleave in ("pixel", "band"): + for tiled in (True, False): + rid = f"l-{comp.lower()}-{interleave}-{'tile' if tiled else 'strip'}" + data = pattern(bands, height, width, "uint16") + extra = dict(tiled=True, blockxsize=16, blockysize=16) if tiled else dict(blockysize=5) + gdal_write(rid + ".tif", data, compress=comp, max_z_error=0, interleave=interleave, **extra) + with rasterio.open(path(rid + ".tif")) as src: + assert np.array_equal(src.read(), data), rid + row(rid, rid + ".tif", 0, "uint16", width, height, bands) + rid = f"l-{comp.lower()}-mask" + data = pattern(1, height, width, "float32") + data[0, 3:6, 4:9] = np.nan + gdal_write(rid + ".tif", data, compress=comp, max_z_error=0, tiled=True, blockxsize=16, blockysize=16) + valid = ~np.isnan(data[0]) + filled = np.where(valid, data[0], 0).astype("float32") + row(rid, rid + ".tif", 0, "float32", width, height, 1, write_raw(rid, filled[None]), write_mask(rid, valid)) + rid = "l-lerc-bigtiff" + data = pattern(1, 18, 20, "int16") + gdal_write(rid + ".tif", data, compress="LERC", max_z_error=0, tiled=True, blockxsize=16, blockysize=16, BIGTIFF="YES") + row(rid, rid + ".tif", 0, "int16", 20, 18, 1) + + +def smooth(bands, height, width): + b, y, x = np.meshgrid(np.arange(bands), np.arange(height), np.arange(width), indexing="ij") + return (60 + 40 * np.sin(x / 5.0 + b) + 30 * np.cos(y / 4.0 - b)).astype("uint8") + + +def jpeg(): + """JPEG YCbCr tiles with JPEGTables, gray strips, and RGB tiles. The + expected samples are GDAL's (libjpeg) decode.""" + cases = [ + ("j-ycbcr-tile", 3, dict(tiled=True, blockxsize=16, blockysize=16, photometric="YCBCR")), + ("j-gray-strip", 1, dict(blockysize=8)), + ("j-rgb-tile", 3, dict(tiled=True, blockxsize=16, blockysize=16, photometric="RGB")), + ] + for rid, bands, extra in cases: + data = smooth(bands, 24, 40) + gdal_write(rid + ".tif", data, compress="JPEG", jpeg_quality=90, interleave="pixel", **extra) + with rasterio.open(path(rid + ".tif")) as src: + decoded = src.read() + row(rid, rid + ".tif", 0, "uint8", 40, 24, bands, write_raw(rid, decoded), tol=3) + + +def cog(): + """A COG with two overview levels and an internal mask.""" + width, height = 64, 48 + data = pattern(1, height, width, "uint16") + mask = np.full((height, width), 255, dtype=np.uint8) + mask[10:20, 30:50] = 0 + src_name = path("cog-src.tif") + profile = dict( + driver="GTiff", width=width, height=height, count=1, dtype="uint16", + crs="EPSG:32648", transform=from_origin(600000, 450000, 30, 30), + tiled=True, blockxsize=16, blockysize=16, + ) + with rasterio.Env(GDAL_TIFF_INTERNAL_MASK=True): + with rasterio.open(src_name, "w", **profile) as dst: + dst.write(data) + dst.write_mask(mask) + rasterio.shutil.copy( + src_name, path("cog-mask.tif"), driver="COG", COMPRESS="DEFLATE", PREDICTOR="2", + BLOCKSIZE="16", OVERVIEWS="AUTO", RESAMPLING="NEAREST", OVERVIEW_COUNT="2", + ) + os.remove(src_name) + for level in (None, 0, 1): + image = 0 if level is None else level + 1 + with rasterio.open(path("cog-mask.tif"), overview_level=level) as src: + values = src.read() + valid = src.read_masks(1) + h, w = src.height, src.width + rid = f"cog-mask-{image}" + expect = "pattern" if image == 0 else write_raw(rid, values) + row(rid, "cog-mask.tif", image, "uint16", w, h, 1, expect, write_mask(rid, valid)) + + +def landsat(): + """A Landsat Collection 2 Level-2 shaped band: uint16 COG, 256x256 + deflate tiles with predictor 2, overviews, nodata 0, UTM, 30 m.""" + width, height = 300, 260 + y, x = np.mgrid[0:height, 0:width] + data = (7273 + 3 * x + 2 * y).astype("uint16")[None] + data[0, :, :12] = 0 + src_name = path("landsat-src.tif") + profile = dict( + driver="GTiff", width=width, height=height, count=1, dtype="uint16", nodata=0, + crs="EPSG:32648", transform=from_origin(399960, 5000040, 30, 30), + ) + with rasterio.open(src_name, "w", **profile) as dst: + dst.write(data) + dst.scales = (2.75e-05,) + dst.offsets = (-0.2,) + dst.set_band_description(1, "SR_B4") + rasterio.shutil.copy( + src_name, path("landsat-c2.tif"), driver="COG", COMPRESS="DEFLATE", PREDICTOR="2", + BLOCKSIZE="256", OVERVIEWS="AUTO", RESAMPLING="NEAREST", + ) + os.remove(src_name) + with rasterio.open(path("landsat-c2.tif")) as src: + assert src.overviews(1), "landsat fixture has overviews" + assert np.array_equal(src.read(), data) + row("landsat-c2", "landsat-c2.tif", 0, "uint16", width, height, 1, write_raw("landsat-c2", data)) + with rasterio.open(path("landsat-c2.tif"), overview_level=0) as src: + row("landsat-c2-1", "landsat-c2.tif", 1, "uint16", src.width, src.height, 1, write_raw("landsat-c2-1", src.read())) + + +def metadata(): + """Per-band GDAL_METADATA: description, scale, offset, units, a band + nodata item and a valid range, over a shared GDAL_NODATA.""" + data = pattern(3, 6, 8, "int16") + name = path("gdal-metadata.tif") + profile = dict(driver="GTiff", width=8, height=6, count=3, dtype="int16", nodata=-1) + with rasterio.open(name, "w", **profile) as dst: + dst.write(data) + dst.scales = (0.01, 1.0, 0.5) + dst.offsets = (273.15, 0.0, -10.0) + dst.units = ("K", "", "m") + for band, desc in enumerate(("temperature", "quality", "height"), start=1): + dst.set_band_description(band, desc) + dst.update_tags(2, NODATA="-9999") + dst.update_tags(3, valid_range="0,1000") + tags = tifffile.TiffFile(name).pages[0].tags + assert 42112 in tags and 42113 in tags + row("gdal-metadata", "gdal-metadata.tif", 0, "int16", 8, 6, 3) + + +def main(): + os.makedirs(OUT, exist_ok=True) + matrix() + sample_types() + lerc() + jpeg() + cog() + landsat() + metadata() + with open(path("manifest.tsv"), "w") as out: + out.write("# id\tfile\timage\tdtype\twidth\theight\tbands\texpect\tmask\ttol\n") + for fields in ROWS: + out.write("\t".join(fields) + "\n") + print(f"{len(ROWS)} fixtures in {OUT}") + + +if __name__ == "__main__": + main() diff --git a/nodedb-raster/tests/fixtures/j-gray-strip.raw.z b/nodedb-raster/tests/fixtures/j-gray-strip.raw.z new file mode 100644 index 0000000000000000000000000000000000000000..802366556aad586159ae78c4a2d4578ca767f7ad GIT binary patch literal 869 zcmV-r1DgDJ+C7s8R~mT~#b*;yfkiL|1Qf_pq!(xC!%(Ktr8yu~LBL3fNQt0g@GIx6 zyT_o1{Tt8O_W|yG@4nwH);ojA-H*lNg+C4brK6t@Uj@oi84X zXO~x#+lR$sF`te5t}_dgc-YP&z2-pwE8ci*qO=au6m ziMbJ*)nY~57?H@88^G^&{*Wm)zV=5q)7k9%b+273q#^;2-D)%#j26W04+Ft=Z!nq8 z61mFx*Z%crJi6{()Qi~|?nNy61C3gvH^ZJ#G<|Z`?hZy{D#=vp7u{aJ-)WtdvT?$P 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m-lzw-p1-strip-classic-contig-be.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-strip-classic-separate-le m-lzw-p1-strip-classic-separate-le.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-strip-big-contig-be m-lzw-p1-strip-big-contig-be.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-strip-big-separate-le m-lzw-p1-strip-big-separate-le.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-tile-classic-contig-be m-lzw-p1-tile-classic-contig-be.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-tile-classic-separate-le m-lzw-p1-tile-classic-separate-le.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-tile-big-contig-be m-lzw-p1-tile-big-contig-be.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p1-tile-big-separate-le m-lzw-p1-tile-big-separate-le.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p2-strip-classic-contig-be m-lzw-p2-strip-classic-contig-be.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p2-strip-classic-separate-le m-lzw-p2-strip-classic-separate-le.tif 0 uint16 20 18 2 pattern - 0 +m-lzw-p2-strip-big-contig-be 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(range.start.min(len) as usize, range.end.min(len) as usize); + Ok(Some(self.bytes[start..end.max(start)].to_vec())) + } +} + +#[test] +fn a_cog_opens_in_one_round_from_its_first_64_kib() { + for file in ["cog-mask.tif", "landsat-c2.tif"] { + let bytes = fixture_bytes(file); + let mut source = Counting { + bytes: &bytes, + reads: Vec::new(), + }; + for image in [0, 1] { + source.reads.clear(); + let opener = TiffOpener::new().with_image(image); + open_with(&opener, &mut source, LIMITS).expect("opens"); + assert_eq!( + source.reads, + vec![ByteRange::new(ObjectId(0), 0, 64 * 1024)], + "{file} image {image}" + ); + } + } +} + +#[test] +fn overviews_scale_the_geotransform_and_keep_the_crs() { + let full = open_fixture(&fixture("cog-mask-0")).0; + let half = open_fixture(&fixture("cog-mask-1")).0; + let quarter = open_fixture(&fixture("cog-mask-2")).0; + assert_eq!( + full.header().transform.map(|gt| gt.0), + Some([600_000.0, 30.0, 0.0, 450_000.0, 0.0, -30.0]) + ); + assert_eq!( + half.header().transform.map(|gt| gt.0), + Some([600_000.0, 60.0, 0.0, 450_000.0, 0.0, -60.0]) + ); + assert_eq!( + quarter.header().transform.map(|gt| gt.0), + Some([600_000.0, 120.0, 0.0, 450_000.0, 0.0, -120.0]) + ); + for reader in [&full, &half, &quarter] { + assert_eq!(reader.header().crs, CrsRef::Epsg(32648)); + assert!(reader.has_mask()); + } +} + +#[test] +fn an_image_past_the_last_overview_is_a_typed_error() { + let bytes = fixture_bytes("cog-mask.tif"); + let opener = TiffOpener::new().with_image(3); + assert!(matches!( + nodedb_raster::open_all(&opener, &bytes, LIMITS), + Err(RasterError::ImageOutOfRange { index: 3, count: 3 }) + )); +} + +#[test] +fn mask_ranges_follow_the_data_ranges() { + let (reader, _) = open_fixture(&fixture("cog-mask-0")); + let ranges = reader.block_ranges(0).expect("ranges"); + // One data tile and the one mask tile of the same 16x16 block. + assert_eq!(ranges.len(), 2); + assert!( + ranges + .iter() + .all(|r| r.object == ObjectId(0) && !r.is_empty()) + ); + assert_ne!(ranges[0], ranges[1]); +} + +#[test] +fn the_landsat_band_reads_its_georeference_and_metadata() { + let (reader, _) = open_fixture(&fixture("landsat-c2")); + let header = reader.header(); + assert_eq!( + header.transform.map(|gt| gt.0), + Some([399_960.0, 30.0, 0.0, 5_000_040.0, 0.0, -30.0]) + ); + assert_eq!( + header + .crs + .resolve(&CrsContext::builtin_only()) + .expect("CRS maps"), + Some(nodedb_types::geometry::Srid::new(32648).expect("srid")) + ); + let band = &header.bands[0]; + assert_eq!(band.nodata, Some(0.0)); + assert_eq!(band.scale, Some(2.75e-05)); + assert_eq!(band.offset, Some(-0.2)); + assert_eq!(band.name.as_deref(), Some("SR_B4")); + assert_eq!(reader.layout().block_width, 256); + assert_eq!(reader.block_count(), 4); + assert!(!reader.has_mask()); +} + +#[test] +fn per_band_gdal_metadata_reaches_the_band_list() { + let (reader, _) = open_fixture(&fixture("gdal-metadata")); + let bands = &reader.header().bands; + assert_eq!(bands.len(), 3); + assert_eq!(bands[0].name.as_deref(), Some("temperature")); + assert_eq!(bands[0].scale, Some(0.01)); + assert_eq!(bands[0].offset, Some(273.15)); + assert_eq!(bands[0].units.as_deref(), Some("K")); + assert_eq!( + bands[0].nodata, + Some(-1.0), + "GDAL_NODATA applies to every band" + ); + assert_eq!(bands[1].nodata, Some(-9999.0), "a band item overrides it"); + assert_eq!(bands[1].scale, None); + assert_eq!(bands[2].valid_range, Some((0.0, 1000.0))); + assert_eq!(bands[2].offset, Some(-10.0)); + assert_eq!(bands[2].units.as_deref(), Some("m")); +} diff --git a/nodedb-raster/tests/geotiff/files.rs b/nodedb-raster/tests/geotiff/files.rs new file mode 100644 index 000000000..0e9e33787 --- /dev/null +++ b/nodedb-raster/tests/geotiff/files.rs @@ -0,0 +1,222 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Every generated fixture of `tests/fixtures/manifest.tsv`: codec x +//! predictor x strips/tiles x classic/BigTIFF x chunky/planar, sample +//! types, LERC with masks, JPEG, COG overviews and masks, a Landsat-shaped +//! COG. Expected samples are the shared pattern, or GDAL's decode. + +use std::io::Read; +use std::path::PathBuf; + +use flate2::read::ZlibDecoder; +use nodedb_raster::{ + RasterBlock, RasterReader, SampleType, TiffOpener, TiffReader, open_all, read_block_all, +}; + +use crate::fixtures::{LIMITS, expected, planes}; + +/// One manifest row. +pub struct Fixture { + pub id: String, + pub file: String, + pub image: u32, + pub dtype: String, + pub width: u32, + pub height: u32, + pub bands: u16, + pub expect: String, + pub mask: String, + pub tol: f64, +} + +pub fn fixture_path(name: &str) -> PathBuf { + PathBuf::from(env!("CARGO_MANIFEST_DIR")) + .join("tests") + .join("fixtures") + .join(name) +} + +pub fn fixture_bytes(name: &str) -> Vec { + std::fs::read(fixture_path(name)).unwrap_or_else(|e| panic!("fixture {name}: {e}")) +} + +pub fn manifest() -> Vec { + let text = std::fs::read_to_string(fixture_path("manifest.tsv")).expect("manifest"); + text.lines() + .filter(|line| !line.starts_with('#') && !line.is_empty()) + .map(|line| { + let f: Vec<&str> = line.split('\t').collect(); + assert_eq!(f.len(), 10, "manifest row {line}"); + Fixture { + id: f[0].to_owned(), + file: f[1].to_owned(), + image: f[2].parse().expect("image"), + dtype: f[3].to_owned(), + width: f[4].parse().expect("width"), + height: f[5].parse().expect("height"), + bands: f[6].parse().expect("bands"), + expect: f[7].to_owned(), + mask: f[8].to_owned(), + tol: f[9].parse().expect("tol"), + } + }) + .collect() +} + +pub fn fixture(id: &str) -> Fixture { + manifest() + .into_iter() + .find(|f| f.id == id) + .unwrap_or_else(|| panic!("no fixture {id}")) +} + +fn inflate(name: &str) -> Vec { + let mut out = Vec::new(); + ZlibDecoder::new(fixture_bytes(name).as_slice()) + .read_to_end(&mut out) + .expect("inflates"); + out +} + +fn sample_type(dtype: &str) -> SampleType { + match dtype { + "uint8" => SampleType::U8, + "int8" => SampleType::I8, + "uint16" => SampleType::U16, + "int16" => SampleType::I16, + "uint32" => SampleType::U32, + "int32" => SampleType::I32, + "float32" => SampleType::F32, + "float64" => SampleType::F64, + other => panic!("dtype {other}"), + } +} + +/// The expected samples, one row-major `f64` plane per band. +fn expected_planes(f: &Fixture) -> Vec> { + let (w, h, b) = (f.width, f.height, u32::from(f.bands)); + if f.expect == "pattern" { + return match sample_type(&f.dtype) { + SampleType::U8 => expected(&planes::(w, h, b)), + SampleType::I8 => expected(&planes::(w, h, b)), + SampleType::U16 => expected(&planes::(w, h, b)), + SampleType::I16 => expected(&planes::(w, h, b)), + SampleType::U32 => expected(&planes::(w, h, b)), + SampleType::I32 => expected(&planes::(w, h, b)), + SampleType::F32 => expected(&planes::(w, h, b)), + SampleType::F64 => expected(&planes::(w, h, b)), + }; + } + let raw = inflate(&f.expect); + let st = sample_type(&f.dtype); + let values: Vec = raw + .chunks_exact(st.byte_len()) + .map(|c| match st { + SampleType::U8 => f64::from(c[0]), + SampleType::I8 => f64::from(c[0] as i8), + SampleType::U16 => f64::from(u16::from_le_bytes([c[0], c[1]])), + SampleType::I16 => f64::from(i16::from_le_bytes([c[0], c[1]])), + SampleType::U32 => f64::from(u32::from_le_bytes([c[0], c[1], c[2], c[3]])), + SampleType::I32 => f64::from(i32::from_le_bytes([c[0], c[1], c[2], c[3]])), + SampleType::F32 => f64::from(f32::from_le_bytes([c[0], c[1], c[2], c[3]])), + SampleType::F64 => f64::from_le_bytes(c.try_into().expect("8 bytes")), + }) + .collect(); + let pixels = (w * h) as usize; + assert_eq!(values.len(), pixels * usize::from(f.bands), "{}", f.id); + values.chunks(pixels).map(<[f64]>::to_vec).collect() +} + +pub fn open_fixture(f: &Fixture) -> (TiffReader, Vec) { + let bytes = fixture_bytes(&f.file); + let opener = TiffOpener::new().with_image(f.image); + let reader = open_all(&opener, &bytes, LIMITS).unwrap_or_else(|e| panic!("{}: {e}", f.id)); + (reader, bytes) +} + +/// Every pixel of every band, and the mask (all valid when absent). +pub fn decode_image(reader: &TiffReader, bytes: &[u8]) -> (Vec>, Vec) { + let header = reader.header(); + let width = header.width as usize; + let pixels = width * header.height as usize; + let mut planes = vec![vec![f64::NAN; pixels]; header.band_count()]; + let mut mask = vec![true; pixels]; + for index in 0..reader.block_count() { + let block: RasterBlock = read_block_all(reader, index, bytes).expect("block decodes"); + let w = &block.window; + for r in 0..w.height as usize { + for c in 0..w.width as usize { + let at = (w.row_off as usize + r) * width + w.col_off as usize + c; + let local = r * w.width as usize + c; + mask[at] = block.any_valid(local); + for (band, samples) in block.bands.iter().enumerate() { + planes[band][at] = samples.value_f64(local).expect("in window"); + } + } + } + } + (planes, mask) +} + +fn check(f: &Fixture) { + let (reader, bytes) = open_fixture(f); + let header = reader.header(); + assert_eq!( + (header.width, header.height), + (f.width, f.height), + "{}", + f.id + ); + assert_eq!(header.band_count(), usize::from(f.bands), "{}", f.id); + let st = sample_type(&f.dtype); + assert!(header.bands.iter().all(|b| b.sample_type == st), "{}", f.id); + let (got, mask) = decode_image(&reader, &bytes); + let want_mask: Vec = if f.mask == "-" { + vec![true; mask.len()] + } else { + inflate(&f.mask).iter().map(|v| *v != 0).collect() + }; + assert_eq!(mask, want_mask, "{}: mask", f.id); + let want = expected_planes(f); + for (band, (g, w)) in got.iter().zip(&want).enumerate() { + for (i, (a, b)) in g.iter().zip(w).enumerate() { + if !want_mask[i] { + continue; + } + let close = (a - b).abs() <= f.tol || (a.is_nan() && b.is_nan()); + assert!(close, "{}: band {band} pixel {i}: got {a}, want {b}", f.id); + } + } +} + +#[test] +fn every_manifest_fixture_decodes_to_its_expected_samples() { + let fixtures = manifest(); + assert!(fixtures.len() > 100, "the manifest lists the codec matrix"); + for f in &fixtures { + check(f); + } +} + +#[test] +fn the_matrix_covers_both_byte_orders_and_bigtiff() { + let ids: Vec = manifest().into_iter().map(|f| f.id).collect(); + for codec in ["none", "lzw", "deflate", "packbits", "zstd"] { + for part in [ + "-be", + "-le", + "-big-", + "-classic-", + "-separate-", + "-contig-", + "-tile-", + "-strip-", + ] { + assert!( + ids.iter() + .any(|id| id.starts_with(&format!("m-{codec}-")) && id.contains(part)), + "{codec} lacks {part}" + ); + } + } +} diff --git a/nodedb-raster/tests/geotiff/fixtures.rs b/nodedb-raster/tests/geotiff/fixtures.rs index 236d37d92..25097a8df 100644 --- a/nodedb-raster/tests/geotiff/fixtures.rs +++ b/nodedb-raster/tests/geotiff/fixtures.rs @@ -6,9 +6,9 @@ //! floating-point-predictor fixtures write each chunk by hand through the //! `DirectoryEncoder`, since `ImageEncoder` writes chunky strips only. -use std::io::{Cursor, Read, Seek, Write}; +use std::io::{Cursor, Seek, Write}; -use nodedb_raster::{GeoTiffReader, RasterError, RasterLimits}; +use nodedb_raster::RasterLimits; use tiff::encoder::colortype::ColorType; use tiff::encoder::compression::{CompressionAlgorithm, Deflate, Lzw}; use tiff::encoder::{Compression, DirectoryEncoder, Predictor, TiffEncoder, TiffKind, TiffValue}; @@ -112,6 +112,8 @@ macro_rules! float_sample { } int_sample!(u8, 0); +int_sample!(i8, 60); +int_sample!(i32, 70_000); int_sample!(u16, 0); int_sample!(i16, 300); int_sample!(u32, 0); @@ -423,44 +425,3 @@ pub fn encode_chunks( .map(|chunk| chunk_bytes(chunk, chunk_w as usize * spp, spp, predictor, compression)) .collect() } - -/// Open an owned copy of `bytes` under [`LIMITS`], so callers can pass a temporary. -pub fn open(bytes: &[u8]) -> Result>>, RasterError> { - GeoTiffReader::open(Cursor::new(bytes.to_vec()), LIMITS) -} - -/// Decode every block and reassemble one row-major `f64` plane per band. -pub fn read_all(reader: &mut GeoTiffReader) -> Vec> { - let width = reader.width() as usize; - let pixels = width * reader.height() as usize; - let mut out = vec![vec![f64::NAN; pixels]; usize::from(reader.band_count())]; - for index in 0..reader.block_count() { - let block = reader.read_block(index).expect("block decodes"); - let window = block.window; - assert_eq!(block.bands.len(), out.len(), "band count of block {index}"); - for (band, samples) in block.bands.iter().enumerate() { - assert_eq!(samples.len(), window.pixels(), "samples in block {index}"); - assert_eq!(samples.sample_type(), reader.sample_type()); - for r in 0..window.height as usize { - for c in 0..window.width as usize { - let row = window.row_off as usize + r; - let col = window.col_off as usize + c; - out[band][row * width + col] = samples - .value_f64(r * window.width as usize + c) - .expect("sample in window"); - } - } - } - } - out -} - -/// Open `bytes` with `limits` and decode every block; the first error. -pub fn decode_everything(bytes: &[u8], limits: RasterLimits) -> Result<(), RasterError> { - let mut reader = GeoTiffReader::open(Cursor::new(bytes), limits)?; - reader.srid()?; - for index in 0..reader.block_count() { - reader.read_block(index)?; - } - Ok(()) -} diff --git a/nodedb-raster/tests/geotiff/georef.rs b/nodedb-raster/tests/geotiff/georef.rs index e7af7e33c..ee69b4efa 100644 --- a/nodedb-raster/tests/geotiff/georef.rs +++ b/nodedb-raster/tests/geotiff/georef.rs @@ -2,13 +2,17 @@ //! Georeference from the GeoTIFF tags: geotransform, CRS, and nodata. +use nodedb_crs::CrsContext; use nodedb_raster::RasterError; -use nodedb_raster::geokeys::{GEOGRAPHIC_TYPE, GT_MODEL_TYPE, GT_RASTER_TYPE, PROJECTED_CS_TYPE}; +use nodedb_raster::tiff::geokeys::{ + GEOGRAPHIC_TYPE, GT_MODEL_TYPE, GT_RASTER_TYPE, PROJECTED_CS_TYPE, +}; use nodedb_types::geometry::Srid; use tiff::encoder::colortype::Gray16; use tiff::tags::Tag; -use crate::fixtures::{Extra, StripSpec, encode_strips, geokeys, open, planes, strip_spec}; +use crate::fixtures::{Extra, StripSpec, encode_strips, geokeys, planes, strip_spec}; +use crate::image::open; const W: u32 = 6; const H: u32 = 4; @@ -45,7 +49,10 @@ fn tiepoint_and_scale_give_a_north_up_transform() { let reader = open(&with_tags(&utm_tiepoint(1))).expect("opens"); let gt = reader.transform().expect("georeferenced"); assert_eq!(gt.0, [600_000.0, 30.0, 0.0, 450_000.0, 0.0, -30.0]); - assert_eq!(reader.srid().expect("CRS maps"), Some(Srid::Utm47N)); + assert_eq!( + reader.srid(&CrsContext::builtin_only()).expect("CRS maps"), + Some(Srid::new(32647).unwrap()) + ); } #[test] @@ -73,7 +80,10 @@ fn model_transformation_gives_a_rotated_transform() { let reader = open(&with_tags(&extras)).expect("opens"); let gt = reader.transform().expect("georeferenced"); assert_eq!(gt.0, [101.0, 0.5, 0.1, 3.5, -0.1, -0.5]); - assert_eq!(reader.srid().expect("CRS maps"), Some(Srid::Wgs84)); + assert_eq!( + reader.srid(&CrsContext::builtin_only()).expect("CRS maps"), + Some(Srid::WGS84) + ); } #[test] @@ -103,7 +113,10 @@ fn gdal_nodata_is_read() { fn a_plain_tiff_has_no_georeference() { let reader = open(&with_tags(&[])).expect("opens"); assert_eq!(reader.transform(), None); - assert_eq!(reader.srid().expect("no CRS"), None); + assert_eq!( + reader.srid(&CrsContext::builtin_only()).expect("no CRS"), + None + ); assert_eq!(reader.nodata(), None); assert!(reader.geokeys().is_none()); } @@ -124,13 +137,30 @@ fn ground_control_points_are_refused() { } #[test] -fn an_unsupported_crs_is_a_typed_error() { +fn an_undefined_crs_is_a_typed_error() { + let extras = [Extra::Shorts( + Tag::GeoKeyDirectoryTag, + geokeys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 999)]), + )]; + let reader = open(&with_tags(&extras)).expect("opens"); + assert!(matches!( + reader.srid(&CrsContext::builtin_only()), + Err(RasterError::UnknownCrs(_)) + )); +} + +/// Any EPSG projected CRS maps, such as UTM 33N. +#[test] +fn an_epsg_projected_crs_maps() { let extras = [Extra::Shorts( Tag::GeoKeyDirectoryTag, geokeys(&[(GT_MODEL_TYPE, 1), (PROJECTED_CS_TYPE, 32633)]), )]; let reader = open(&with_tags(&extras)).expect("opens"); - assert!(matches!(reader.srid(), Err(RasterError::UnsupportedCrs(_)))); + assert_eq!( + reader.srid(&CrsContext::builtin_only()).expect("CRS maps"), + Some(Srid::new(32633).unwrap()) + ); } #[test] diff --git a/nodedb-raster/tests/geotiff/image.rs b/nodedb-raster/tests/geotiff/image.rs new file mode 100644 index 000000000..3d41ea1da --- /dev/null +++ b/nodedb-raster/tests/geotiff/image.rs @@ -0,0 +1,120 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! [`Image`]: the sans-IO reader driven over in-memory bytes, and +//! whole-image readback. + +use nodedb_crs::CrsContext; +use nodedb_raster::{ + GeoKeyDirectory, GeoTransform, RasterBlock, RasterError, RasterLayout, RasterLimits, + RasterReader, SampleType, TiffOpener, TiffReader, open_all, read_block_all, +}; +use nodedb_types::geometry::Srid; + +use crate::fixtures::LIMITS; + +/// An opened image and the bytes it reads its blocks from. +pub struct Image { + pub reader: TiffReader, + pub bytes: Vec, +} + +impl Image { + pub fn layout(&self) -> &RasterLayout { + self.reader.layout() + } + + pub fn width(&self) -> u32 { + self.reader.header().width + } + + pub fn height(&self) -> u32 { + self.reader.header().height + } + + pub fn band_count(&self) -> u16 { + self.layout().bands + } + + pub fn sample_type(&self) -> SampleType { + self.layout().sample_type + } + + pub fn block_count(&self) -> u32 { + self.reader.block_count() + } + + pub fn read_block(&self, index: u32) -> Result { + read_block_all(&self.reader, index, &self.bytes) + } + + pub fn transform(&self) -> Option { + self.reader.header().transform + } + + pub fn srid(&self, ctx: &CrsContext<'_>) -> Result, RasterError> { + self.reader.header().crs.resolve(ctx) + } + + /// The nodata of band 0: `GDAL_NODATA` in these fixtures. + pub fn nodata(&self) -> Option { + self.reader + .header() + .bands + .first() + .and_then(|band| band.nodata) + } + + pub fn geokeys(&self) -> Option<&GeoKeyDirectory> { + self.reader.geokeys() + } +} + +/// Open an owned copy of `bytes` under [`LIMITS`], so callers can pass a temporary. +pub fn open(bytes: &[u8]) -> Result { + open_with_limits(bytes, LIMITS) +} + +/// Open an owned copy of `bytes` under `limits`. +pub fn open_with_limits(bytes: &[u8], limits: RasterLimits) -> Result { + let reader = open_all(&TiffOpener::new(), bytes, limits)?; + Ok(Image { + reader, + bytes: bytes.to_vec(), + }) +} + +/// Decode every block and reassemble one row-major `f64` plane per band. +pub fn read_all(image: &Image) -> Vec> { + let width = image.width() as usize; + let pixels = width * image.height() as usize; + let mut out = vec![vec![f64::NAN; pixels]; usize::from(image.band_count())]; + for index in 0..image.block_count() { + let block = image.read_block(index).expect("block decodes"); + let window = &block.window; + assert_eq!(block.bands.len(), out.len(), "band count of block {index}"); + for (band, samples) in block.bands.iter().enumerate() { + assert_eq!(samples.len(), window.pixels(), "samples in block {index}"); + assert_eq!(samples.sample_type(), image.sample_type()); + for r in 0..window.height as usize { + for c in 0..window.width as usize { + let row = window.row_off as usize + r; + let col = window.col_off as usize + c; + out[band][row * width + col] = samples + .value_f64(r * window.width as usize + c) + .expect("sample in window"); + } + } + } + } + out +} + +/// Open `bytes` with `limits` and decode every block; the first error. +pub fn decode_everything(bytes: &[u8], limits: RasterLimits) -> Result<(), RasterError> { + let image = open_with_limits(bytes, limits)?; + image.srid(&CrsContext::builtin_only())?; + for index in 0..image.block_count() { + image.read_block(index)?; + } + Ok(()) +} diff --git a/nodedb-raster/tests/geotiff/main.rs b/nodedb-raster/tests/geotiff/main.rs index 84ead462c..8230ea421 100644 --- a/nodedb-raster/tests/geotiff/main.rs +++ b/nodedb-raster/tests/geotiff/main.rs @@ -1,9 +1,14 @@ // SPDX-License-Identifier: Apache-2.0 -//! `GeoTiffReader` over GeoTIFFs the tiff encoder builds in-test. +//! The TIFF reader over GeoTIFFs the tiff encoder builds in-test, and over +//! the generated files under `tests/fixtures`. +mod cog; +mod files; mod fixtures; mod georef; +mod image; +mod malformed; mod robustness; mod strips; mod tiles; diff --git a/nodedb-raster/tests/geotiff/malformed.rs b/nodedb-raster/tests/geotiff/malformed.rs new file mode 100644 index 000000000..b4b64ff41 --- /dev/null +++ b/nodedb-raster/tests/geotiff/malformed.rs @@ -0,0 +1,195 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Hostile files over the generated fixtures: truncation, corruption, +//! absurd counts and offsets, IFD loops, a missing object, and the header +//! cap. Every failure is a typed error, never a panic and never an +//! allocation sized from the file. + +use nodedb_raster::tiff::error::TiffFormatError; +use nodedb_raster::{ + ByteRange, RangeRead, RasterError, RasterLimits, TiffOpener, open_all, open_with, +}; + +use crate::files::fixture_bytes; +use crate::fixtures::LIMITS; +use crate::image::decode_everything; + +/// One fixture per codec and container feature. +const CODEC_FILES: [&str; 12] = [ + "m-none-p1-strip-classic-contig-be.tif", + "m-lzw-p2-tile-big-separate-le.tif", + "m-deflate-p3-tile-classic-contig-be.tif", + "m-packbits-p1-tile-classic-separate-le.tif", + "m-zstd-p2-strip-big-contig-be.tif", + "l-lerc-pixel-tile.tif", + "l-lerc_deflate-band-strip.tif", + "l-lerc_zstd-mask.tif", + "j-ycbcr-tile.tif", + "j-gray-strip.tif", + "cog-mask.tif", + "gdal-metadata.tif", +]; + +/// Decode cap for hostile input: small, so no header can make one block +/// a large allocation. +const HOSTILE: RasterLimits = RasterLimits::new(1 << 20); + +#[test] +fn every_truncation_of_every_codec_is_a_typed_error_or_a_whole_image() { + for file in CODEC_FILES { + let bytes = fixture_bytes(file); + for len in 0..bytes.len() { + let result = decode_everything(&bytes[..len], HOSTILE); + if len < 64 { + assert!(result.is_err(), "{file}: a {len}-byte prefix decoded"); + } + } + } +} + +#[test] +fn corrupt_bytes_of_every_codec_never_panic() { + for file in CODEC_FILES { + let bytes = fixture_bytes(file); + for position in 0..bytes.len() { + for flip in [0xFF_u8, 0x10] { + let mut corrupt = bytes.clone(); + corrupt[position] ^= flip; + // Ok or a typed error are both fine. A panic fails the test. + let _ = decode_everything(&corrupt, HOSTILE); + } + } + } +} + +/// The byte offset of `tag`'s entry in IFD 0 of a little-endian classic +/// TIFF. +fn entry_at(bytes: &[u8], tag: u16) -> usize { + let ifd = u32::from_le_bytes(bytes[4..8].try_into().expect("4 bytes")) as usize; + let count = u16::from_le_bytes([bytes[ifd], bytes[ifd + 1]]) as usize; + (0..count) + .map(|i| ifd + 2 + i * 12) + .find(|at| u16::from_le_bytes([bytes[*at], bytes[*at + 1]]) == tag) + .unwrap_or_else(|| panic!("tag {tag}")) +} + +/// Write `value` as the inline LONG value of `tag`. +fn patch_long(bytes: &mut [u8], tag: u16, value: u32) { + let at = entry_at(bytes, tag); + bytes[at + 2..at + 4].copy_from_slice(&4u16.to_le_bytes()); + bytes[at + 4..at + 8].copy_from_slice(&1u32.to_le_bytes()); + bytes[at + 8..at + 12].copy_from_slice(&value.to_le_bytes()); +} + +/// A one-band little-endian classic tiled file: one tile per block, so +/// the block index of a 16x16 single-tile image is inline. +fn single_tile() -> Vec { + fixture_bytes("t-uint8.tif") +} + +#[test] +fn an_absurd_byte_count_is_refused_before_any_fetch() { + let mut bytes = single_tile(); + // Rewrite the image as one 16x16 tile with a 4 GiB byte count. + patch_long(&mut bytes, 256, 16); + patch_long(&mut bytes, 257, 16); + patch_long(&mut bytes, 324, 8); + patch_long(&mut bytes, 325, u32::MAX); + let reader = open_all(&TiffOpener::new(), &bytes, HOSTILE).expect("header is valid"); + assert!(matches!( + nodedb_raster::RasterReader::block_ranges(&reader, 0), + Err(RasterError::BlockTooLarge { + needed_bytes, + .. + }) if needed_bytes == u64::from(u32::MAX) + )); +} + +#[test] +fn an_offset_past_the_end_is_a_truncation() { + let mut bytes = single_tile(); + patch_long(&mut bytes, 256, 16); + patch_long(&mut bytes, 257, 16); + patch_long(&mut bytes, 324, 0x7FFF_0000); + patch_long(&mut bytes, 325, 100); + assert!(matches!( + decode_everything(&bytes, HOSTILE), + Err(RasterError::Malformed(TiffFormatError::Truncated { .. })) + )); +} + +#[test] +fn a_huge_image_without_its_block_index_is_refused() { + let mut bytes = single_tile(); + patch_long(&mut bytes, 256, u32::MAX); + assert!(matches!( + open_all(&TiffOpener::new(), &bytes, HOSTILE), + Err(RasterError::Malformed(TiffFormatError::TagCount { .. })) + )); +} + +#[test] +fn an_absurd_entry_count_is_refused() { + let mut bytes = single_tile(); + let ifd = u32::from_le_bytes(bytes[4..8].try_into().expect("4 bytes")) as usize; + bytes[ifd..ifd + 2].copy_from_slice(&u16::MAX.to_le_bytes()); + assert!(matches!( + open_all(&TiffOpener::new(), &bytes, HOSTILE), + Err(RasterError::Malformed( + TiffFormatError::TooManyEntries { .. } + )) + )); +} + +#[test] +fn an_ifd_loop_is_refused() { + let mut bytes = single_tile(); + let ifd = u32::from_le_bytes(bytes[4..8].try_into().expect("4 bytes")) as usize; + let count = u16::from_le_bytes([bytes[ifd], bytes[ifd + 1]]) as usize; + let next = ifd + 2 + count * 12; + let link = u32::try_from(ifd).expect("small file").to_le_bytes(); + bytes[next..next + 4].copy_from_slice(&link); + assert!(matches!( + open_all(&TiffOpener::new(), &bytes, HOSTILE), + Err(RasterError::Malformed(TiffFormatError::IfdLoop { .. })) + )); +} + +#[test] +fn a_tag_value_over_the_cap_is_refused() { + let mut bytes = single_tile(); + // A TileOffsets count of 64 Mi LONGs: 256 MiB, over the header cap. + let at = entry_at(&bytes, 324); + bytes[at + 4..at + 8].copy_from_slice(&(64 * 1024 * 1024u32).to_le_bytes()); + assert!(matches!( + open_all(&TiffOpener::new(), &bytes, HOSTILE), + Err(RasterError::TagValueTooLarge { tag: 324, .. }) + )); +} + +#[test] +fn the_header_cap_bounds_what_an_open_caches() { + let bytes = fixture_bytes("landsat-c2.tif"); + let tight = LIMITS.with_header_bytes(1000); + assert!(matches!( + open_all(&TiffOpener::new(), &bytes, tight), + Err(RasterError::HeaderTooLarge { limit_bytes: 1000 }) + )); +} + +/// A source whose object does not exist. +struct Missing; + +impl RangeRead for Missing { + fn read_range(&mut self, _range: ByteRange) -> Result>, RasterError> { + Ok(None) + } +} + +#[test] +fn a_missing_object_is_a_typed_error() { + assert!(matches!( + open_with(&TiffOpener::new(), &mut Missing, LIMITS), + Err(RasterError::SourceMissing { object: 0 }) + )); +} diff --git a/nodedb-raster/tests/geotiff/robustness.rs b/nodedb-raster/tests/geotiff/robustness.rs index c22e35ba4..0fe603c2a 100644 --- a/nodedb-raster/tests/geotiff/robustness.rs +++ b/nodedb-raster/tests/geotiff/robustness.rs @@ -3,16 +3,17 @@ //! Refusals and hostile input: every failure is a typed error, never a //! panic and never an allocation past the cap. -use nodedb_raster::geokeys::{GT_MODEL_TYPE, PROJECTED_CS_TYPE}; +use nodedb_raster::tiff::geokeys::{GT_MODEL_TYPE, PROJECTED_CS_TYPE}; use nodedb_raster::{RasterError, RasterLimits}; -use tiff::encoder::colortype::{Gray16, Gray64, GrayI8}; +use tiff::encoder::colortype::{Gray16, Gray64, GrayI64}; use tiff::encoder::{Compression, DeflateLevel}; use tiff::tags::Tag; use crate::fixtures::{ - DEFLATE, Extra, LIMITS, Pred, RawImage, RawLayout, StripSpec, decode_everything, encode_chunks, - encode_raw, encode_strips, geokeys, open, planes, strip_spec, + DEFLATE, Extra, LIMITS, Pred, RawImage, RawLayout, StripSpec, encode_chunks, encode_raw, + encode_strips, geokeys, planes, strip_spec, }; +use crate::image::{decode_everything, open}; /// A small planar tiled GeoTIFF with GeoKeys: every code path the reader /// has, in a few hundred bytes. @@ -149,10 +150,10 @@ fn unsupported_sample_types_are_refused_at_open() { compression: Compression::Deflate(DeflateLevel::Fast), ..strip_spec(4, 4) }; - let signed_bytes = vec![-3_i8; 16]; + let wide_signed = vec![-3_i64; 16]; assert!(matches!( - open(&encode_strips::(&spec, &signed_bytes)), - Err(RasterError::UnsupportedSampleType { bits: 8, .. }) + open(&encode_strips::(&spec, &wide_signed)), + Err(RasterError::UnsupportedSampleType { bits: 64, .. }) )); let wide = vec![7_u64; 16]; assert!(matches!( @@ -182,8 +183,8 @@ fn raw_gray16(compression: u16, photometric: u16) -> Vec { #[test] fn unsupported_compression_is_refused_at_open() { - // 50000 is ZSTD, 34887 LERC, 7 JPEG. - for code in [50000, 34887, 7] { + // 2 is CCITT RLE, 34925 LZMA, 50001 WebP. + for code in [2, 34925, 50001] { assert!(matches!( open(&raw_gray16(code, 1)), Err(RasterError::UnsupportedCompression { code: c }) if c == code @@ -204,7 +205,7 @@ fn transforming_photometrics_are_refused_at_open() { #[test] fn an_out_of_range_block_is_a_typed_error() { - let mut reader = open(&small_fixture()).expect("opens"); + let reader = open(&small_fixture()).expect("opens"); let count = reader.block_count(); assert!(matches!( reader.read_block(count), diff --git a/nodedb-raster/tests/geotiff/strips.rs b/nodedb-raster/tests/geotiff/strips.rs index 43dadb965..5d7cb1a72 100644 --- a/nodedb-raster/tests/geotiff/strips.rs +++ b/nodedb-raster/tests/geotiff/strips.rs @@ -5,14 +5,16 @@ use nodedb_raster::{BlockKind, Interleave, SampleType}; use tiff::encoder::colortype::{ - ColorType, Gray8, Gray16, Gray32, Gray32Float, Gray64Float, GrayI16, RGB8, RGB16, + ColorType, Gray8, Gray16, Gray32, Gray32Float, Gray64Float, GrayI8, GrayI16, GrayI32, RGB8, + RGB16, }; use tiff::encoder::{Compression, DeflateLevel, Predictor, TiffValue}; use crate::fixtures::{ - DEFLATE, NONE, Pred, RawImage, RawLayout, Sample, StripSpec, encode_chunks, encode_raw, - encode_strips, expected, interleave, open, planes, read_all, strip_spec, + DEFLATE, LZW, Pred, RawImage, RawLayout, Sample, StripSpec, encode_chunks, encode_raw, + encode_strips, expected, interleave, planes, strip_spec, }; +use crate::image::{open, read_all}; const W: u32 = 10; const H: u32 = 7; @@ -35,10 +37,10 @@ fn every_strip_codec_round_trips() { ..strip_spec(W, H) }; let bytes = encode_strips::(&spec, &planes[0]); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.layout().kind, BlockKind::Strips); assert_eq!(reader.block_count(), blocks); - assert_eq!(read_all(&mut reader), expected(&planes)); + assert_eq!(read_all(&reader), expected(&planes)); } } @@ -50,7 +52,7 @@ fn last_strip_is_cropped_to_the_image() { ..strip_spec(W, H) }; let bytes = encode_strips::(&spec, &planes[0]); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); let last = reader.read_block(2).expect("last strip"); assert_eq!( (last.window.row_off, last.window.width, last.window.height), @@ -68,8 +70,8 @@ fn horizontal_predictor_round_trips() { rows_per_strip: Some(2), ..strip_spec(W, H) }; - let mut reader = open(&encode_strips::(&spec, &gray[0])).expect("opens"); - assert_eq!(read_all(&mut reader), expected(&gray)); + let reader = open(&encode_strips::(&spec, &gray[0])).expect("opens"); + assert_eq!(read_all(&reader), expected(&gray)); let signed = planes::(W, H, 1); let spec = StripSpec { @@ -77,8 +79,8 @@ fn horizontal_predictor_round_trips() { predictor: Predictor::Horizontal, ..strip_spec(W, H) }; - let mut reader = open(&encode_strips::(&spec, &signed[0])).expect("opens"); - assert_eq!(read_all(&mut reader), expected(&signed)); + let reader = open(&encode_strips::(&spec, &signed[0])).expect("opens"); + assert_eq!(read_all(&reader), expected(&signed)); let rgb = planes::(W, H, 3); let spec = StripSpec { @@ -87,15 +89,16 @@ fn horizontal_predictor_round_trips() { rows_per_strip: Some(4), ..strip_spec(W, H) }; - let mut reader = open(&encode_strips::(&spec, &interleave(&rgb))).expect("opens"); + let reader = open(&encode_strips::(&spec, &interleave(&rgb))).expect("opens"); assert_eq!(reader.band_count(), 3); - assert_eq!(read_all(&mut reader), expected(&rgb)); + assert_eq!(read_all(&reader), expected(&rgb)); } #[test] fn floating_point_predictor_round_trips() { let layout = RawLayout::Strips { rows_per_strip: 3 }; - for compression in [NONE, DEFLATE] { + // libtiff applies a predictor under LZW, deflate and ZSTD only. + for compression in [LZW, DEFLATE] { let two_band = planes::(W, H, 2); let chunks = encode_chunks( &two_band, @@ -119,9 +122,9 @@ fn floating_point_predictor_round_trips() { chunks, extras: &[], }); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.sample_type(), SampleType::F32); - assert_eq!(read_all(&mut reader), expected(&two_band)); + assert_eq!(read_all(&reader), expected(&two_band)); } let single = planes::(W, H, 1); @@ -140,9 +143,9 @@ fn floating_point_predictor_round_trips() { chunks, extras: &[], }); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.sample_type(), SampleType::F64); - assert_eq!(read_all(&mut reader), expected(&single)); + assert_eq!(read_all(&reader), expected(&single)); } fn round_trip(sample_type: SampleType) @@ -156,14 +159,16 @@ where rows_per_strip: Some(2), ..strip_spec(W, H) }; - let mut reader = open(&encode_strips::(&spec, &planes[0])).expect("opens"); + let reader = open(&encode_strips::(&spec, &planes[0])).expect("opens"); assert_eq!(reader.sample_type(), sample_type); - assert_eq!(read_all(&mut reader), expected(&planes)); + assert_eq!(read_all(&reader), expected(&planes)); } #[test] fn every_supported_sample_type_round_trips() { round_trip::(SampleType::U8); + round_trip::(SampleType::I8); + round_trip::(SampleType::I32); round_trip::(SampleType::U16); round_trip::(SampleType::I16); round_trip::(SampleType::U32); @@ -180,16 +185,16 @@ fn multi_band_chunky_pixels_split_per_band() { extra_samples: 3, ..strip_spec(W, H) }; - let mut reader = open(&encode_strips::(&spec, &interleave(&multiband))).expect("opens"); + let reader = open(&encode_strips::(&spec, &interleave(&multiband))).expect("opens"); assert_eq!(reader.band_count(), 4); assert_eq!(reader.layout().interleave, Interleave::Chunky); - assert_eq!(read_all(&mut reader), expected(&multiband)); + assert_eq!(read_all(&reader), expected(&multiband)); let rgb = planes::(W, H, 3); let spec = StripSpec { compression: Compression::Packbits, ..strip_spec(W, H) }; - let mut reader = open(&encode_strips::(&spec, &interleave(&rgb))).expect("opens"); - assert_eq!(read_all(&mut reader), expected(&rgb)); + let reader = open(&encode_strips::(&spec, &interleave(&rgb))).expect("opens"); + assert_eq!(read_all(&reader), expected(&rgb)); } diff --git a/nodedb-raster/tests/geotiff/tiles.rs b/nodedb-raster/tests/geotiff/tiles.rs index b143316a8..87d25413f 100644 --- a/nodedb-raster/tests/geotiff/tiles.rs +++ b/nodedb-raster/tests/geotiff/tiles.rs @@ -6,8 +6,9 @@ use nodedb_raster::{BlockKind, BlockWindow, Interleave, SampleType}; use crate::fixtures::{ DEFLATE, LZW, NONE, Pred, RawImage, RawLayout, Sample, encode_chunks, encode_raw, expected, - open, planes, read_all, + planes, }; +use crate::image::{open, read_all}; /// 40 x 24 pixels in 16 x 16 tiles: the right column is 8 wide and the /// bottom row 8 tall. @@ -63,7 +64,7 @@ fn chunky_tiles_crop_edge_tiles() { compression: DEFLATE, }; let (bytes, want) = encode::(&case, 16, 1); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.layout().kind, BlockKind::Tiles); assert_eq!(reader.layout().interleave, Interleave::Chunky); assert_eq!(reader.block_count(), 6); @@ -71,6 +72,7 @@ fn chunky_tiles_crop_edge_tiles() { assert_eq!( corner.window, BlockWindow { + outer: Vec::new(), col_off: 32, row_off: 16, width: 8, @@ -78,7 +80,7 @@ fn chunky_tiles_crop_edge_tiles() { } ); assert!(corner.bands.iter().all(|band| band.len() == 64)); - assert_eq!(read_all(&mut reader), want); + assert_eq!(read_all(&reader), want); } #[test] @@ -91,13 +93,13 @@ fn planar_tiles_crop_edge_tiles_in_every_plane() { compression: LZW, }; let (bytes, want) = encode::(&case, 16, 2); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.layout().interleave, Interleave::Planar); assert_eq!(reader.sample_type(), SampleType::I16); let bottom = reader.read_block(4).expect("bottom tile"); assert_eq!((bottom.window.width, bottom.window.height), (16, 8)); assert!(bottom.bands.iter().all(|band| band.len() == 16 * 8)); - assert_eq!(read_all(&mut reader), want); + assert_eq!(read_all(&reader), want); } #[test] @@ -110,10 +112,10 @@ fn planar_strips_round_trip() { compression: NONE, }; let (bytes, want) = encode::(&case, 8, 1); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.layout().kind, BlockKind::Strips); assert_eq!(reader.block_count(), H.div_ceil(5)); - assert_eq!(read_all(&mut reader), want); + assert_eq!(read_all(&reader), want); } #[test] @@ -126,8 +128,8 @@ fn tiles_with_horizontal_predictor_round_trip() { compression: DEFLATE, }; let (bytes, want) = encode::(&case, 16, 1); - let mut reader = open(&bytes).expect("opens"); - assert_eq!(read_all(&mut reader), want); + let reader = open(&bytes).expect("opens"); + assert_eq!(read_all(&reader), want); } #[test] @@ -140,9 +142,9 @@ fn planar_float_tiles_with_floating_point_predictor_round_trip() { compression: DEFLATE, }; let (bytes, want) = encode::(&case, 32, 3); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.sample_type(), SampleType::F32); - assert_eq!(read_all(&mut reader), want); + assert_eq!(read_all(&reader), want); } #[test] @@ -155,12 +157,12 @@ fn u32_and_f64_tiles_round_trip() { compression: LZW, }; let (bytes, want) = encode::(&case, 32, 1); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.sample_type(), SampleType::U32); - assert_eq!(read_all(&mut reader), want); + assert_eq!(read_all(&reader), want); let (bytes, want) = encode::(&case, 64, 3); - let mut reader = open(&bytes).expect("opens"); + let reader = open(&bytes).expect("opens"); assert_eq!(reader.sample_type(), SampleType::F64); - assert_eq!(read_all(&mut reader), want); + assert_eq!(read_all(&reader), want); } diff --git a/nodedb-spatial/Cargo.toml b/nodedb-spatial/Cargo.toml index 3336ad7a7..1fe42691e 100644 --- a/nodedb-spatial/Cargo.toml +++ b/nodedb-spatial/Cargo.toml @@ -18,6 +18,7 @@ default = [] [dependencies] nodedb-types = { workspace = true } +nodedb-crs = { workspace = true } nodedb-wal = { workspace = true } nodedb-mem = { workspace = true } thiserror = { workspace = true } @@ -27,6 +28,7 @@ sonic-rs = { workspace = true } zerompk = { workspace = true } rkyv = { workspace = true } h3o = { workspace = true } +geo = { workspace = true } [dev-dependencies] rand = { workspace = true } diff --git a/nodedb-spatial/src/crs/ellipsoid.rs b/nodedb-spatial/src/crs/ellipsoid.rs deleted file mode 100644 index 240623529..000000000 --- a/nodedb-spatial/src/crs/ellipsoid.rs +++ /dev/null @@ -1,69 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Reference ellipsoids. - -/// An ellipsoid of revolution, defined by its semi-major axis and inverse -/// flattening. -#[derive(Debug, Clone, Copy, PartialEq)] -pub struct Ellipsoid { - /// Semi-major axis in metres. - pub a: f64, - /// Inverse flattening, 1/f. - pub inv_f: f64, -} - -/// GRS 1980 (EPSG:7019), the ellipsoid of GDM2000. -pub const GRS80: Ellipsoid = Ellipsoid { - a: 6_378_137.0, - inv_f: 298.257_222_101, -}; - -/// WGS 84 (EPSG:7030). -pub const WGS84: Ellipsoid = Ellipsoid { - a: 6_378_137.0, - inv_f: 298.257_223_563, -}; - -impl Ellipsoid { - /// Flattening f. - pub fn f(&self) -> f64 { - 1.0 / self.inv_f - } - - /// First eccentricity squared, e² = f(2 − f). - pub fn e2(&self) -> f64 { - let f = self.f(); - f * (2.0 - f) - } - - /// First eccentricity e. - pub fn e(&self) -> f64 { - self.e2().sqrt() - } - - /// Third flattening n = f / (2 − f). - pub fn n(&self) -> f64 { - let f = self.f(); - f / (2.0 - f) - } -} - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn grs80_and_wgs84_differ_only_in_flattening() { - assert_eq!(GRS80.a, WGS84.a); - assert!((GRS80.e2() - 0.006_694_380_022_90).abs() < 1e-14); - assert!((WGS84.e2() - 0.006_694_379_990_14).abs() < 1e-14); - } - - #[test] - fn third_flattening_matches_definition() { - let n = WGS84.n(); - let f = WGS84.f(); - assert!((n - f / (2.0 - f)).abs() < 1e-18); - assert!((WGS84.e() * WGS84.e() - WGS84.e2()).abs() < 1e-18); - } -} diff --git a/nodedb-spatial/src/crs/error.rs b/nodedb-spatial/src/crs/error.rs deleted file mode 100644 index 4d55bd78d..000000000 --- a/nodedb-spatial/src/crs/error.rs +++ /dev/null @@ -1,130 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Coordinate transformation errors. - -use nodedb_types::geometry::Srid; - -/// A coordinate a projection cannot map. -#[derive(Debug, Clone, Copy, PartialEq, thiserror::Error)] -pub enum CrsError { - /// The coordinate lies outside the region where the projection is - /// defined or accurate. - #[error("coordinate ({x}, {y}) is outside the domain of SRID {srid}: {reason}")] - OutOfDomain { - srid: Srid, - x: f64, - y: f64, - reason: DomainReason, - }, -} - -/// Why a coordinate is outside a projection's domain. -#[derive(Debug, Clone, Copy, PartialEq, Eq)] -pub enum DomainReason { - /// An ordinate is NaN or infinite. - NonFinite, - /// Latitude is beyond ±90°. - LatitudeRange, - /// Longitude is too far from a Transverse Mercator central meridian for - /// the Krüger series to hold. - CentralMeridianOffset, - /// The Hotine Oblique Mercator U term reaches ±1, where the projection - /// diverges. - ObliqueSingularity, -} - -impl std::fmt::Display for DomainReason { - fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { - f.write_str(match self { - DomainReason::NonFinite => "non-finite ordinate", - DomainReason::LatitudeRange => "latitude beyond ±90°", - DomainReason::CentralMeridianOffset => "too far from the central meridian", - DomainReason::ObliqueSingularity => "on the oblique projection's singular line", - }) - } -} - -/// Largest absolute latitude, in degrees. -const MAX_LATITUDE_DEG: f64 = 90.0; - -/// Fail unless `[lon, lat]` is a finite geographic coordinate with latitude -/// inside ±90°. -pub(crate) fn check_lon_lat(srid: Srid, coord: [f64; 2]) -> Result<(), CrsError> { - let [lon, lat] = coord; - if !lon.is_finite() || !lat.is_finite() { - return Err(CrsError::out_of_domain( - srid, - coord, - DomainReason::NonFinite, - )); - } - if lat.abs() > MAX_LATITUDE_DEG { - return Err(CrsError::out_of_domain( - srid, - coord, - DomainReason::LatitudeRange, - )); - } - Ok(()) -} - -/// Fail unless both ordinates are finite. -pub(crate) fn check_finite(srid: Srid, coord: [f64; 2]) -> Result<(), CrsError> { - if coord[0].is_finite() && coord[1].is_finite() { - Ok(()) - } else { - Err(CrsError::out_of_domain( - srid, - coord, - DomainReason::NonFinite, - )) - } -} - -impl CrsError { - pub(crate) fn out_of_domain(srid: Srid, [x, y]: [f64; 2], reason: DomainReason) -> Self { - CrsError::OutOfDomain { srid, x, y, reason } - } - - /// The SRID whose projection rejected the coordinate. - pub fn srid(&self) -> Srid { - match self { - CrsError::OutOfDomain { srid, .. } => *srid, - } - } -} - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn lon_lat_checks() { - assert!(check_lon_lat(Srid::Utm48N, [105.0, 90.0]).is_ok()); - assert_eq!( - check_lon_lat(Srid::Utm48N, [105.0, 90.5]), - Err(CrsError::out_of_domain( - Srid::Utm48N, - [105.0, 90.5], - DomainReason::LatitudeRange - )) - ); - assert!(check_lon_lat(Srid::Utm48N, [f64::NAN, 0.0]).is_err()); - assert!(check_finite(Srid::BorneoRso, [0.0, f64::INFINITY]).is_err()); - } - - #[test] - fn message_names_srid_and_reason() { - let e = CrsError::out_of_domain( - Srid::Utm47N, - [150.0, 3.0], - DomainReason::CentralMeridianOffset, - ); - assert_eq!(e.srid(), Srid::Utm47N); - let text = e.to_string(); - assert!( - text.contains("32647") && text.contains("central meridian"), - "{text}" - ); - } -} diff --git a/nodedb-spatial/src/crs/mod.rs b/nodedb-spatial/src/crs/mod.rs index 5734313fc..bf745a7ca 100644 --- a/nodedb-spatial/src/crs/mod.rs +++ b/nodedb-spatial/src/crs/mod.rs @@ -1,18 +1,8 @@ // SPDX-License-Identifier: Apache-2.0 -//! Coordinate reference system transforms for the supported SRIDs: -//! WGS 84, UTM 47N / 48N, and the GDM2000 Malaysian RSO grids. +//! Geometry transforms between coordinate reference systems. The CRS +//! registry and the coordinate math live in `nodedb-crs`. -pub mod ellipsoid; -pub mod error; -pub mod hom; -pub mod params; -pub mod tm; pub mod transform; -pub use error::{CrsError, DomainReason}; -pub use hom::{HomParams, HomVariant, HotineObliqueMercator}; -pub use tm::{ - TAU_NEWTON_MAX_ITERS, TAU_TOLERANCE, TM_MAX_LON_OFFSET_DEG, TmParams, TransverseMercator, -}; -pub use transform::{Projection, Transformer, transform_geometry}; +pub use transform::{transform_geometry, transform_geometry_at}; diff --git a/nodedb-spatial/src/crs/params.rs b/nodedb-spatial/src/crs/params.rs deleted file mode 100644 index ff75d39cb..000000000 --- a/nodedb-spatial/src/crs/params.rs +++ /dev/null @@ -1,103 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Defining parameters of every supported projected SRID. -//! -//! Values are the EPSG definitions as PROJ publishes them. -//! -//! Datum bound: GDM2000 (EPSG:3375, 3376) is ITRF2000 at epoch 2000.0. Its -//! published `towgs84` is all zeros, so WGS 84 → GDM2000 is taken as the -//! identity. GDM2000 is fixed to the plate while WGS 84 tracks ITRF, so the -//! identity drifts with Sundaland plate motion: about 1 m by 2026. Results in -//! 3375 / 3376 are exact to the projection, not to that datum offset. - -use super::ellipsoid::{GRS80, WGS84}; -use super::hom::{HomParams, HomVariant}; -use super::tm::TmParams; - -/// UTM scale factor on the central meridian. -const UTM_K0: f64 = 0.9996; - -/// UTM false easting, metres. -const UTM_FALSE_EASTING: f64 = 500_000.0; - -/// UTM false northing in the northern hemisphere, metres. -const UTM_FALSE_NORTHING_NORTH: f64 = 0.0; - -/// RSO scale factor on the initial line, both Malaysian RSO grids. -const RSO_K: f64 = 0.99984; - -/// EPSG:32647, UTM zone 47N on WGS 84. -pub const UTM_47N: TmParams = TmParams { - lon0_deg: 99.0, - k0: UTM_K0, - false_easting: UTM_FALSE_EASTING, - false_northing: UTM_FALSE_NORTHING_NORTH, - ellipsoid: WGS84, -}; - -/// EPSG:32648, UTM zone 48N on WGS 84. -pub const UTM_48N: TmParams = TmParams { - lon0_deg: 105.0, - k0: UTM_K0, - false_easting: UTM_FALSE_EASTING, - false_northing: UTM_FALSE_NORTHING_NORTH, - ellipsoid: WGS84, -}; - -/// EPSG:3375, GDM2000 Peninsula RSO. -/// `+proj=omerc +no_uoff +lat_0=4 +lonc=102.25 +alpha=323.025796466667 -/// +gamma=323.130102361111 +k=0.99984 +x_0=804671 +y_0=0 +ellps=GRS80`. -pub const PENINSULAR_RSO: HomParams = HomParams { - variant: HomVariant::A, - lat_c_deg: 4.0, - lon_c_deg: 102.25, - alpha_c_deg: 323.025_796_466_667, - gamma_c_deg: 323.130_102_361_111, - k_c: RSO_K, - false_easting: 804_671.0, - false_northing: 0.0, - ellipsoid: GRS80, -}; - -/// EPSG:3376, GDM2000 East Malaysia (Borneo) RSO. -/// `+proj=omerc +no_uoff +lat_0=4 +lonc=115 +alpha=53.31580995 -/// +gamma=53.1301023611111 +k=0.99984 +x_0=0 +y_0=0 +ellps=GRS80`. -pub const BORNEO_RSO: HomParams = HomParams { - variant: HomVariant::A, - lat_c_deg: 4.0, - lon_c_deg: 115.0, - alpha_c_deg: 53.315_809_95, - gamma_c_deg: 53.130_102_361_111_1, - k_c: RSO_K, - false_easting: 0.0, - false_northing: 0.0, - ellipsoid: GRS80, -}; - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn utm_zones_differ_only_in_central_meridian() { - assert_eq!(UTM_47N.lon0_deg, 99.0); - assert_eq!(UTM_48N.lon0_deg, 105.0); - assert_eq!( - TmParams { - lon0_deg: UTM_48N.lon0_deg, - ..UTM_47N - }, - UTM_48N - ); - } - - #[test] - fn rso_grids_are_variant_a_on_grs80() { - for p in [PENINSULAR_RSO, BORNEO_RSO] { - assert_eq!(p.variant, HomVariant::A); - assert_eq!(p.ellipsoid, GRS80); - assert_eq!(p.k_c, RSO_K); - assert_eq!(p.lat_c_deg, 4.0); - } - } -} diff --git a/nodedb-spatial/src/crs/transform.rs b/nodedb-spatial/src/crs/transform.rs index d328727f3..470e37d98 100644 --- a/nodedb-spatial/src/crs/transform.rs +++ b/nodedb-spatial/src/crs/transform.rs @@ -1,122 +1,71 @@ // SPDX-License-Identifier: Apache-2.0 -//! Coordinate transformation between supported SRIDs. -//! -//! Every path runs through WGS 84 geographic coordinates: the inverse of the -//! source projection (none for 4326), then the forward of the target. The -//! WGS 84 → GDM2000 datum step is the identity (see `params`). - -use nodedb_types::geometry::{Srid, SridGeometry}; - -use super::error::CrsError; -use super::hom::HotineObliqueMercator; -use super::params::{BORNEO_RSO, PENINSULAR_RSO, UTM_47N, UTM_48N}; -use super::tm::TransverseMercator; - -/// The projection behind one projected SRID. -#[derive(Debug, Clone)] -pub enum Projection { - TransverseMercator(TransverseMercator), - HotineObliqueMercator(HotineObliqueMercator), -} - -impl Projection { - /// The projection of `srid`, or `None` for the geographic WGS 84. - pub fn for_srid(srid: Srid) -> Option { - match srid { - Srid::Wgs84 => None, - Srid::Utm47N => Some(Projection::TransverseMercator(TransverseMercator::new( - srid, UTM_47N, - ))), - Srid::Utm48N => Some(Projection::TransverseMercator(TransverseMercator::new( - srid, UTM_48N, - ))), - Srid::PeninsularRso => Some(Projection::HotineObliqueMercator( - HotineObliqueMercator::new(srid, PENINSULAR_RSO), - )), - Srid::BorneoRso => Some(Projection::HotineObliqueMercator( - HotineObliqueMercator::new(srid, BORNEO_RSO), - )), - } - } +//! Coordinate transformation of whole geometries between SRIDs. - /// `[lon, lat]` degrees to `[easting, northing]` metres. - pub fn forward(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - match self { - Projection::TransverseMercator(p) => p.forward(coord), - Projection::HotineObliqueMercator(p) => p.forward(coord), - } - } +use nodedb_crs::{CoordinateEpoch, CrsContext, CrsError}; +use nodedb_types::geometry::{Position, Srid, SridGeometry}; - /// `[easting, northing]` metres to `[lon, lat]` degrees. - pub fn inverse(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - match self { - Projection::TransverseMercator(p) => p.inverse(coord), - Projection::HotineObliqueMercator(p) => p.inverse(coord), - } - } -} - -/// A prepared `from → to` coordinate transform. -#[derive(Debug, Clone)] -pub struct Transformer { - from: Srid, - source: Option, - target: Option, +/// Transform every coordinate of `geom` into `target`, resolving both SRIDs +/// through `ctx`. +/// +/// A geometry already in `target` comes back unchanged once `ctx` confirms +/// the SRID is defined. Z is ellipsoidal height in metres and goes through +/// the datum shift with x and y. M passes through. Any coordinate the +/// target projection cannot map fails the whole call with +/// [`CrsError::OutOfDomain`]. +/// +/// A time-dependent datum shift runs at its parameter reference epoch. Use +/// [`transform_geometry_at`] for coordinates at another epoch. +pub fn transform_geometry( + geom: &SridGeometry, + target: Srid, + ctx: &CrsContext<'_>, +) -> Result { + transform(geom, target, None, ctx) } -impl Transformer { - pub fn new(from: Srid, to: Srid) -> Self { - // A same-SRID transform maps nothing. - if from == to { - return Self { - from, - source: None, - target: None, - }; - } - Self { - from, - source: Projection::for_srid(from), - target: Projection::for_srid(to), - } - } - - /// Map one coordinate. - pub fn apply(&self, coord: [f64; 2]) -> Result<[f64; 2], CrsError> { - let geographic = match &self.source { - Some(p) => p.inverse(coord)?, - None => { - super::error::check_finite(self.from, coord)?; - coord - } - }; - match &self.target { - Some(p) => p.forward(geographic), - None => Ok(geographic), - } - } +/// [`transform_geometry`] for coordinates that refer to coordinate epoch +/// `epoch`: every time-dependent datum shift takes its parameters at that +/// epoch. Static shifts give the same result as [`transform_geometry`]. +pub fn transform_geometry_at( + geom: &SridGeometry, + target: Srid, + epoch: CoordinateEpoch, + ctx: &CrsContext<'_>, +) -> Result { + transform(geom, target, Some(epoch), ctx) } -/// Transform every coordinate of `geom` into `target`. -/// -/// A geometry already in `target` comes back unchanged. Any coordinate a -/// projection cannot map fails the whole call with -/// [`CrsError::OutOfDomain`]. -pub fn transform_geometry(geom: &SridGeometry, target: Srid) -> Result { +fn transform( + geom: &SridGeometry, + target: Srid, + epoch: Option, + ctx: &CrsContext<'_>, +) -> Result { + let transformer = ctx.transformer(geom.srid, target)?; if geom.srid == target { return Ok(geom.clone()); } - let transformer = Transformer::new(geom.srid, target); - let geometry = geom - .geometry - .try_map_coords(&mut |c| transformer.apply(c))?; - Ok(SridGeometry::new(target, geometry)) + let mapped = geom.try_map_positions(|p| { + let xyz = [p.x, p.y, p.z.unwrap_or(0.0)]; + let [x, y, z] = match epoch { + None => transformer.apply(xyz)?, + Some(epoch) => transformer.apply_at(xyz, epoch)?, + }; + Ok::<_, CrsError>(Position { + x, + y, + z: p.z.map(|_| z), + m: p.m, + }) + })?; + Ok(mapped.with_srid(target)) } #[cfg(test)] mod tests { use super::*; + use nodedb_crs::UnknownSrid; use nodedb_types::geometry::Geometry; /// Largest round-trip error accepted, metres. @@ -126,80 +75,145 @@ mod tests { /// to a conservative degree tolerance. const METRES_PER_DEGREE: f64 = 111_320.0; + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + fn point(srid: Srid, x: f64, y: f64) -> SridGeometry { SridGeometry::new(srid, Geometry::point(x, y)) } fn coords(g: &SridGeometry) -> [f64; 2] { - match g.geometry { - Geometry::Point { coordinates } => coordinates, + match g.geometry() { + Geometry::Point { coordinates } => *coordinates, _ => panic!("expected a point"), } } #[test] - fn wgs84_round_trip_through_every_srid() { - let inputs = [[101.7117, 3.1579], [116.0735, 5.9804], [103.5, 1.5]]; - for srid in &Srid::SUPPORTED[1..] { + fn wgs84_round_trip_through_projected_srids() { + let ctx = CrsContext::builtin_only(); + let inputs = [[101.7117, 3.1579], [103.5, 1.5]]; + for code in [32647, 32648, 3375, 3857, 6933] { for input in inputs { - let src = point(Srid::Wgs84, input[0], input[1]); - let projected = transform_geometry(&src, *srid).unwrap(); - assert_eq!(projected.srid, *srid); - let back = transform_geometry(&projected, Srid::Wgs84).unwrap(); + let src = point(Srid::WGS84, input[0], input[1]); + let projected = transform_geometry(&src, srid(code), &ctx).unwrap(); + assert_eq!(projected.srid, srid(code)); + let back = transform_geometry(&projected, Srid::WGS84, &ctx).unwrap(); let [lon, lat] = coords(&back); let tol = ROUND_TRIP_TOLERANCE_M / METRES_PER_DEGREE; assert!( (lon - input[0]).abs() < tol && (lat - input[1]).abs() < tol, - "{srid:?}: {input:?} -> {:?}", + "{code}: {input:?} -> {:?}", [lon, lat] ); } } } + /// A forward then inverse UTM transform returns the input within 1e-8°. #[test] - fn peninsular_rso_through_utm47n_round_trips() { - let src = point(Srid::PeninsularRso, 412_834.468_1, 349_472.917_7); - let utm = transform_geometry(&src, Srid::Utm47N).unwrap(); - let back = transform_geometry(&utm, Srid::PeninsularRso).unwrap(); - let [x, y] = coords(&back); + fn utm47n_round_trip_is_tight() { + let ctx = CrsContext::builtin_only(); + let src = point(Srid::WGS84, 101.7117, 3.1579); + let utm = transform_geometry(&src, srid(32647), &ctx).unwrap(); + let back = transform_geometry(&utm, Srid::WGS84, &ctx).unwrap(); + let [lon, lat] = coords(&back); + assert!((lon - 101.7117).abs() < 1e-8 && (lat - 3.1579).abs() < 1e-8); + } + + /// PROJ 9.8.1 reference: EPSG:4326 (102.2375, 3.975) to EPSG:32648. + #[test] + fn utm48n_matches_proj() { + let ctx = CrsContext::builtin_only(); + let src = point(Srid::WGS84, 102.2375, 3.975); + let [x, y] = coords(&transform_geometry(&src, srid(32648), &ctx).unwrap()); + assert!( + (x - 193_218.924_909_861_76).abs() < ROUND_TRIP_TOLERANCE_M, + "{x}" + ); assert!( - (x - 412_834.468_1).abs() < ROUND_TRIP_TOLERANCE_M - && (y - 349_472.917_7).abs() < ROUND_TRIP_TOLERANCE_M, - "{x} {y}" + (y - 439_876.984_345_265_6).abs() < ROUND_TRIP_TOLERANCE_M, + "{y}" ); - let [ux, uy] = coords(&utm); - assert!((ux - 801_401.794_9).abs() < ROUND_TRIP_TOLERANCE_M, "{ux}"); - assert!((uy - 349_439.510_6).abs() < ROUND_TRIP_TOLERANCE_M, "{uy}"); } #[test] fn same_srid_is_identity() { - let src = point(Srid::Utm48N, 1.0, 2.0); - assert_eq!(transform_geometry(&src, Srid::Utm48N), Ok(src)); + let ctx = CrsContext::builtin_only(); + let src = point(srid(32648), 1.0, 2.0); + assert_eq!(transform_geometry(&src, srid(32648), &ctx), Ok(src)); + } + + #[test] + fn undefined_srid_fails() { + let ctx = CrsContext::builtin_only(); + let src = point(Srid::WGS84, 101.0, 3.0); + assert_eq!( + transform_geometry(&src, srid(999), &ctx), + Err(CrsError::Unknown(UnknownSrid::Undefined { code: 999 })) + ); } #[test] fn every_coordinate_is_mapped() { + let ctx = CrsContext::builtin_only(); let src = SridGeometry::wgs84(Geometry::polygon(vec![vec![ [101.0, 3.0], [102.0, 3.0], [102.0, 4.0], [101.0, 3.0], ]])); - let out = transform_geometry(&src, Srid::Utm47N).unwrap(); - let Geometry::Polygon { coordinates } = out.geometry else { + let out = transform_geometry(&src, srid(32647), &ctx).unwrap(); + let Geometry::Polygon { coordinates } = out.geometry() else { panic!("shape changed"); }; assert_eq!(coordinates[0].len(), 4); assert!(coordinates[0].iter().all(|c| c[0] > 100_000.0)); } + /// Z is ellipsoidal height through the datum shift. M passes through. + #[test] + fn z_goes_through_the_transform_and_m_passes_through() { + use nodedb_types::geometry::Ordinates; + let ctx = CrsContext::builtin_only(); + let src = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(101.7, 3.1), + Ordinates::new(Some(vec![100.0]), Some(vec![7.0])), + ) + .unwrap(); + let utm = transform_geometry(&src, srid(32647), &ctx).unwrap(); + assert_eq!(utm.ordinates().z(), Some(&[100.0][..])); + assert_eq!(utm.ordinates().m(), Some(&[7.0][..])); + // GDM2000 is GRS80 with a zero shift: height moves by under 1 mm. + let gdm = transform_geometry(&src, srid(4742), &ctx).unwrap(); + let z = gdm.ordinates().z().unwrap()[0]; + assert!((z - 100.0).abs() < 1e-3, "{z}"); + } + + /// A static shift gives the same result at any epoch. + #[test] + fn epoch_leaves_static_shifts_unchanged() { + let ctx = CrsContext::builtin_only(); + let src = point(srid(4742), 101.7117, 3.1579); + let epoch = CoordinateEpoch::new(2024.5).unwrap(); + assert_eq!( + transform_geometry_at(&src, srid(32647), epoch, &ctx), + transform_geometry(&src, srid(32647), &ctx) + ); + assert_eq!( + transform_geometry_at(&src, srid(4742), epoch, &ctx), + Ok(src) + ); + } + #[test] fn out_of_domain_fails_the_call() { - let src = point(Srid::Wgs84, 179.0, 3.0); + let ctx = CrsContext::builtin_only(); + let src = point(Srid::WGS84, 179.0, 3.0); assert!(matches!( - transform_geometry(&src, Srid::Utm48N), + transform_geometry(&src, srid(32648), &ctx), Err(CrsError::OutOfDomain { .. }) )); } diff --git a/nodedb-spatial/src/distance3d.rs b/nodedb-spatial/src/distance3d.rs new file mode 100644 index 000000000..4616c986d --- /dev/null +++ b/nodedb-spatial/src/distance3d.rs @@ -0,0 +1,363 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! 3D distance between geometries in Cartesian metres. +//! +//! Every position maps to Cartesian metres first: a projected CRS scales x +//! and y by its unit and keeps Z, a geographic CRS goes to Earth-centred +//! (ECEF) coordinates on its ellipsoid with Z as ellipsoidal height. A +//! missing Z is 0. A polygon is a planar surface through its first three +//! non-collinear vertices, as PostGIS `ST_3DDistance` treats it. + +use nodedb_types::geometry::{Geometry, SridGeometry, point_in_polygon}; + +use crate::predicates::edge::point_on_ring_boundary; + +/// Cross-product length under which three vertices count as collinear. +const COLLINEAR_EPS: f64 = 1e-12; + +/// Maps one position (x, y, z) to Cartesian metres. +pub(crate) type ToCartesian<'a> = &'a dyn Fn([f64; 2], f64) -> [f64; 3]; + +/// One polygon: its 2D rings for containment and its 3D plane. +struct Surface { + rings: Vec>, + /// A point on the plane and its unit normal. `None` for a degenerate + /// polygon, which then measures by its boundary alone. + plane: Option<([f64; 3], [f64; 3])>, +} + +/// A geometry as 3D edges, 3D vertices with their 2D position, and +/// surfaces. +#[derive(Default)] +struct Parts3 { + segments: Vec<([f64; 3], [f64; 3])>, + vertices: Vec<([f64; 2], [f64; 3])>, + surfaces: Vec, +} + +struct Builder<'a> { + g: &'a SridGeometry, + to_xyz: ToCartesian<'a>, + index: usize, + parts: Parts3, +} + +impl Builder<'_> { + fn next(&mut self, c: [f64; 2]) -> [f64; 3] { + let (z, _) = self.g.ordinates().at(self.index); + self.index += 1; + let p = (self.to_xyz)(c, z.unwrap_or(0.0)); + self.parts.vertices.push((c, p)); + p + } + + fn path(&mut self, coords: &[[f64; 2]], close: bool) -> Vec<[f64; 3]> { + let points: Vec<[f64; 3]> = coords.iter().map(|c| self.next(*c)).collect(); + match points.as_slice() { + [] => {} + [only] => self.parts.segments.push((*only, *only)), + _ => { + self.parts + .segments + .extend(points.windows(2).map(|w| (w[0], w[1]))); + if close && let (Some(first), Some(last)) = (points.first(), points.last()) { + self.parts.segments.push((*last, *first)); + } + } + } + points + } + + fn polygon(&mut self, rings: &[Vec<[f64; 2]>]) { + let mut exterior = Vec::new(); + for (i, ring) in rings.iter().enumerate() { + let points = self.path(ring, true); + if i == 0 { + exterior = points; + } + } + self.parts.surfaces.push(Surface { + rings: rings.to_vec(), + plane: plane_of(&exterior), + }); + } + + fn geometry(&mut self, geom: &Geometry) { + match geom { + Geometry::Point { .. } if geom.is_empty() => {} + Geometry::Point { coordinates } => { + let p = self.next(*coordinates); + self.parts.segments.push((p, p)); + } + Geometry::MultiPoint { coordinates } => { + for c in coordinates { + let p = self.next(*c); + self.parts.segments.push((p, p)); + } + } + Geometry::LineString { coordinates } => { + self.path(coordinates, false); + } + Geometry::MultiLineString { coordinates } => { + for line in coordinates { + self.path(line, false); + } + } + Geometry::Polygon { coordinates } => self.polygon(coordinates), + Geometry::MultiPolygon { coordinates } => { + for rings in coordinates { + self.polygon(rings); + } + } + Geometry::GeometryCollection { geometries } => { + for member in geometries { + self.geometry(member); + } + } + } + } +} + +fn parts_of(g: &SridGeometry, to_xyz: ToCartesian<'_>) -> Parts3 { + let mut builder = Builder { + g, + to_xyz, + index: 0, + parts: Parts3::default(), + }; + builder.geometry(g.geometry()); + builder.parts +} + +/// Minimum 3D distance between two geometries, metres. Infinite when +/// either is EMPTY. +pub(crate) fn distance_3d(a: &SridGeometry, b: &SridGeometry, to_xyz: ToCartesian<'_>) -> f64 { + let pa = parts_of(a, to_xyz); + let pb = parts_of(b, to_xyz); + if pa.segments.is_empty() || pb.segments.is_empty() { + return f64::INFINITY; + } + let mut best = f64::INFINITY; + for &(a1, a2) in &pa.segments { + for &(b1, b2) in &pb.segments { + best = best.min(segment_segment(a1, a2, b1, b2)); + } + } + best.min(surface_distance(&pa, &pb)) + .min(surface_distance(&pb, &pa)) +} + +/// Least distance from a vertex of `points` lying over a surface of +/// `surfaces` to that surface's plane. +fn surface_distance(surfaces: &Parts3, points: &Parts3) -> f64 { + let mut best = f64::INFINITY; + for surface in &surfaces.surfaces { + let Some((origin, normal)) = surface.plane else { + continue; + }; + for (xy, p) in &points.vertices { + if covers(&surface.rings, *xy) { + best = best.min(dot(sub(*p, origin), normal).abs()); + } + } + } + best +} + +fn covers(rings: &[Vec<[f64; 2]>], pt: [f64; 2]) -> bool { + let Some(exterior) = rings.first() else { + return false; + }; + if !point_in_polygon(pt[0], pt[1], exterior) && !point_on_ring_boundary(pt, exterior) { + return false; + } + !rings[1..] + .iter() + .any(|hole| point_in_polygon(pt[0], pt[1], hole) && !point_on_ring_boundary(pt, hole)) +} + +/// The plane through the first three non-collinear points. +fn plane_of(points: &[[f64; 3]]) -> Option<([f64; 3], [f64; 3])> { + let origin = *points.first()?; + for (i, b) in points.iter().enumerate().skip(1) { + for c in points.iter().skip(i + 1) { + let n = cross(sub(*b, origin), sub(*c, origin)); + let len = norm(n); + if len > COLLINEAR_EPS * norm(sub(*b, origin)).max(1.0) { + return Some((origin, [n[0] / len, n[1] / len, n[2] / len])); + } + } + } + None +} + +/// Total 3D length of every linear component, metres. +pub(crate) fn length_3d(g: &SridGeometry, to_xyz: ToCartesian<'_>) -> f64 { + let mut index = 0usize; + let mut point = |c: [f64; 2]| { + let (z, _) = g.ordinates().at(index); + index += 1; + to_xyz(c, z.unwrap_or(0.0)) + }; + let mut total = 0.0; + walk_lines(g.geometry(), &mut |coords, linear| { + let points: Vec<[f64; 3]> = coords.iter().map(|c| point(*c)).collect(); + if linear { + total += points + .windows(2) + .map(|w| norm(sub(w[1], w[0]))) + .sum::(); + } + }); + total +} + +/// Visit every coordinate path in traversal order, flagging the linear +/// ones. Points and rings are visited so the Z index stays aligned. +fn walk_lines(geom: &Geometry, f: &mut dyn FnMut(&[[f64; 2]], bool)) { + match geom { + Geometry::Point { .. } if geom.is_empty() => {} + Geometry::Point { coordinates } => f(std::slice::from_ref(coordinates), false), + Geometry::MultiPoint { coordinates } => f(coordinates, false), + Geometry::LineString { coordinates } => f(coordinates, true), + Geometry::MultiLineString { coordinates } => { + coordinates.iter().for_each(|line| f(line, true)); + } + Geometry::Polygon { coordinates } => coordinates.iter().for_each(|ring| f(ring, false)), + Geometry::MultiPolygon { coordinates } => { + coordinates.iter().flatten().for_each(|ring| f(ring, false)) + } + Geometry::GeometryCollection { geometries } => { + geometries.iter().for_each(|member| walk_lines(member, f)); + } + } +} + +/// Distance between segments p1–q1 and p2–q2 (Ericson, Real-Time Collision +/// Detection, 5.1.9). +fn segment_segment(p1: [f64; 3], q1: [f64; 3], p2: [f64; 3], q2: [f64; 3]) -> f64 { + let d1 = sub(q1, p1); + let d2 = sub(q2, p2); + let r = sub(p1, p2); + let a = dot(d1, d1); + let e = dot(d2, d2); + let f = dot(d2, r); + let tiny = f64::EPSILON; + let (s, t) = if a <= tiny && e <= tiny { + (0.0, 0.0) + } else if a <= tiny { + (0.0, (f / e).clamp(0.0, 1.0)) + } else { + let c = dot(d1, r); + if e <= tiny { + ((-c / a).clamp(0.0, 1.0), 0.0) + } else { + let b = dot(d1, d2); + let denom = a * e - b * b; + let mut s = if denom > tiny { + ((b * f - c * e) / denom).clamp(0.0, 1.0) + } else { + 0.0 + }; + let mut t = (b * s + f) / e; + if t < 0.0 { + t = 0.0; + s = (-c / a).clamp(0.0, 1.0); + } else if t > 1.0 { + t = 1.0; + s = ((b - c) / a).clamp(0.0, 1.0); + } + (s, t) + } + }; + let c1 = add(p1, scale(d1, s)); + let c2 = add(p2, scale(d2, t)); + norm(sub(c1, c2)) +} + +fn sub(a: [f64; 3], b: [f64; 3]) -> [f64; 3] { + [a[0] - b[0], a[1] - b[1], a[2] - b[2]] +} + +fn add(a: [f64; 3], b: [f64; 3]) -> [f64; 3] { + [a[0] + b[0], a[1] + b[1], a[2] + b[2]] +} + +fn scale(a: [f64; 3], k: f64) -> [f64; 3] { + [a[0] * k, a[1] * k, a[2] * k] +} + +fn dot(a: [f64; 3], b: [f64; 3]) -> f64 { + a[0] * b[0] + a[1] * b[1] + a[2] * b[2] +} + +fn cross(a: [f64; 3], b: [f64; 3]) -> [f64; 3] { + [ + a[1] * b[2] - a[2] * b[1], + a[2] * b[0] - a[0] * b[2], + a[0] * b[1] - a[1] * b[0], + ] +} + +fn norm(a: [f64; 3]) -> f64 { + dot(a, a).sqrt() +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::{Ordinates, Srid}; + + fn planar(c: [f64; 2], z: f64) -> [f64; 3] { + [c[0], c[1], z] + } + + fn with_z(g: Geometry, z: Vec) -> SridGeometry { + SridGeometry::with_ordinates(Srid::WGS84, g, Ordinates::new(Some(z), None)).unwrap() + } + + #[test] + fn points_measure_the_3d_chord() { + let a = with_z(Geometry::point(0.0, 0.0), vec![0.0]); + let b = with_z(Geometry::point(3.0, 0.0), vec![4.0]); + assert!((distance_3d(&a, &b, &planar) - 5.0).abs() < 1e-12); + } + + #[test] + fn point_above_a_polygon_measures_to_its_plane() { + let square = with_z( + Geometry::polygon(vec![vec![ + [0.0, 0.0], + [10.0, 0.0], + [10.0, 10.0], + [0.0, 10.0], + [0.0, 0.0], + ]]), + vec![2.0; 5], + ); + let above = with_z(Geometry::point(5.0, 5.0), vec![9.0]); + assert!((distance_3d(&square, &above, &planar) - 7.0).abs() < 1e-12); + } + + #[test] + fn crossing_segments_at_different_heights() { + let a = with_z( + Geometry::line_string(vec![[-1.0, 0.0], [1.0, 0.0]]), + vec![0.0, 0.0], + ); + let b = with_z( + Geometry::line_string(vec![[0.0, -1.0], [0.0, 1.0]]), + vec![3.0, 3.0], + ); + assert!((distance_3d(&a, &b, &planar) - 3.0).abs() < 1e-12); + } + + #[test] + fn length_counts_z() { + let line = with_z( + Geometry::line_string(vec![[0.0, 0.0], [3.0, 0.0], [3.0, 0.0]]), + vec![0.0, 4.0, 10.0], + ); + assert!((length_3d(&line, &planar) - 11.0).abs() < 1e-12); + } +} diff --git a/nodedb-spatial/src/error.rs b/nodedb-spatial/src/error.rs new file mode 100644 index 000000000..51789bf20 --- /dev/null +++ b/nodedb-spatial/src/error.rs @@ -0,0 +1,49 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The error every fallible spatial operation returns. + +use nodedb_crs::{CrsError, UnknownSrid}; +use nodedb_types::geometry::{GeoJsonError, OrdinateError}; + +use crate::ops::linear::LinearError; +use crate::ops::tile::TileError; +use crate::wkb::WkbError; +use crate::wkt::WktError; + +/// Why a geometry does not parse, or an operation on it fails. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum SpatialError { + #[error(transparent)] + Wkt(#[from] WktError), + #[error(transparent)] + Wkb(#[from] WkbError), + #[error(transparent)] + GeoJson(#[from] GeoJsonError), + #[error("invalid ordinates: {0}")] + Ordinates(#[from] OrdinateError), + /// An SRID code no CRS defines, or outside the code range. + #[error(transparent)] + Srid(#[from] UnknownSrid), + /// A local projection or a transform fails. + #[error(transparent)] + Crs(#[from] CrsError), + /// `ST_MakeValid` cannot repair the input. + #[error("cannot repair geometry: {reason}")] + Repair { reason: Box }, + /// A DE-9IM pattern is not 9 characters of `0 1 2 T F *`. + #[error("invalid DE-9IM pattern '{pattern}': {reason}")] + Pattern { pattern: Box, reason: Box }, + #[error(transparent)] + Linear(#[from] LinearError), + #[error(transparent)] + Tile(#[from] TileError), + /// A value of a type no geometry form takes. + #[error("a {found} value is not a geometry")] + NotGeometryValue { found: &'static str }, + /// The operation has no meaning for these geometry kinds. + #[error("{operation} does not take {kinds}")] + Unsupported { + operation: &'static str, + kinds: Box, + }, +} diff --git a/nodedb-spatial/src/geo_meta.rs b/nodedb-spatial/src/geo_meta.rs index 037416c2e..6a129c187 100644 --- a/nodedb-spatial/src/geo_meta.rs +++ b/nodedb-spatial/src/geo_meta.rs @@ -13,8 +13,77 @@ //! - GeoParquet spec: https://geoparquet.org/releases/v1.1.0/ //! - GeoArrow spec: https://geoarrow.org/extension-types +use nodedb_crs::CrsDef; +use nodedb_types::geometry::{Dimension, GeometryKind, SridGeometry}; use serde::{Deserialize, Serialize}; -use std::collections::HashMap; +use std::collections::{BTreeSet, HashMap}; + +/// Why geometry column metadata cannot be built. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum GeoMetaError { + /// The CRS writer produced text that is not JSON. + #[error("PROJJSON for SRID {code} does not parse: {reason}")] + Projjson { code: u32, reason: Box }, +} + +/// The CRS of `def` as a PROJJSON value. +pub fn projjson(def: &CrsDef) -> Result { + sonic_rs::from_str(&def.to_projjson()).map_err(|e| GeoMetaError::Projjson { + code: def.srid.code(), + reason: e.to_string().into(), + }) +} + +/// A GeoParquet geometry type name: the OGC name with its dimension +/// suffix, `"Point"`, `"Point Z"`, `"Point M"` or `"Point ZM"`. +pub fn geometry_type_name(kind: GeometryKind, dimension: Dimension) -> String { + let suffix = dimension.wkt_tag(); + if suffix.is_empty() { + kind.name().to_string() + } else { + format!("{} {suffix}", kind.name()) + } +} + +/// The distinct geometry type names of a column, sorted. +pub fn column_geometry_types<'a>(geoms: impl IntoIterator) -> Vec { + geoms + .into_iter() + .map(|g| geometry_type_name(g.geometry().kind(), g.dimension())) + .collect::>() + .into_iter() + .collect() +} + +/// The bounding box of a column: `[xmin, ymin, xmax, ymax]`, or +/// `[xmin, ymin, zmin, xmax, ymax, zmax]` when every geometry has Z. EMPTY +/// geometries add nothing. `None` when nothing has a coordinate. +pub fn column_bbox<'a>(geoms: impl IntoIterator) -> Option> { + let mut lo = [f64::INFINITY; 3]; + let mut hi = [f64::NEG_INFINITY; 3]; + let mut all_z = true; + let mut any = false; + for g in geoms { + all_z &= g.has_z() || g.is_empty(); + for p in g.positions() { + any = true; + for (i, v) in [p.x, p.y, p.z.unwrap_or(f64::NAN)].into_iter().enumerate() { + if !v.is_nan() { + lo[i] = lo[i].min(v); + hi[i] = hi[i].max(v); + } + } + } + } + if !any { + return None; + } + Some(if all_z { + vec![lo[0], lo[1], lo[2], hi[0], hi[1], hi[2]] + } else { + vec![lo[0], lo[1], hi[0], hi[1]] + }) +} /// GeoParquet metadata for a Parquet file containing geometry columns. /// @@ -32,43 +101,39 @@ pub struct GeoParquetMetadata { /// Metadata for a single geometry column in GeoParquet. #[derive(Debug, Clone, Serialize, Deserialize)] pub struct GeoParquetColumnMeta { - /// Encoding: "WKB" (default). + /// Encoding: "WKB" (ISO WKB, Z and M in the type code). pub encoding: String, - /// Geometry types present in this column. + /// Geometry types present, dimension suffix included. pub geometry_types: Vec, - /// Coordinate Reference System. "EPSG:4326" for WGS-84. + /// The column CRS as PROJJSON. pub crs: serde_json::Value, - /// Bounding box of all geometries: [min_lng, min_lat, max_lng, max_lat]. + /// Bounding box: 4 values, or 6 when every geometry has Z. #[serde(skip_serializing_if = "Option::is_none")] - pub bbox: Option<[f64; 4]>, + pub bbox: Option>, } impl GeoParquetMetadata { - /// Create metadata for a single geometry column. - pub fn single_column( + /// Metadata for one geometry column of `geoms` in `crs`. + pub fn single_column<'a>( column_name: &str, - geometry_types: Vec, - bbox: Option<[f64; 4]>, - ) -> Self { + geoms: impl IntoIterator + Clone, + crs: &CrsDef, + ) -> Result { let mut columns = HashMap::new(); columns.insert( column_name.to_string(), GeoParquetColumnMeta { encoding: "WKB".to_string(), - geometry_types, - crs: serde_json::json!({ - "type": "GeographicCRS", - "name": "WGS 84", - "id": { "authority": "EPSG", "code": 4326 } - }), - bbox, + geometry_types: column_geometry_types(geoms.clone()), + crs: projjson(crs)?, + bbox: column_bbox(geoms), }, ); - Self { + Ok(Self { version: "1.1.0".to_string(), primary_column: column_name.to_string(), columns, - } + }) } /// Serialize to JSON string for Parquet file metadata. @@ -80,35 +145,27 @@ impl GeoParquetMetadata { pub const PARQUET_KEY: &'static str = "geo"; } -/// GeoArrow extension type name for WKB-encoded geometry columns. +/// GeoArrow extension type name for WKB-encoded geometry columns. Z and M +/// travel in the WKB type code. /// /// Register this on Arrow `DataType::Binary` columns so Arrow-native tools /// (DuckDB, GeoPolars) recognize them as geometry. pub const GEOARROW_EXTENSION_NAME: &str = "geoarrow.wkb"; -/// GeoArrow extension metadata (JSON). +/// GeoArrow extension metadata (JSON): `{"crs": }`. /// /// Stored in Arrow schema's field metadata under the key /// `ARROW:extension:metadata`. -pub fn geoarrow_extension_metadata(crs_epsg: u32) -> String { - serde_json::json!({ - "crs": { - "type": "GeographicCRS", - "name": "WGS 84", - "id": { "authority": "EPSG", "code": crs_epsg } - } - }) - .to_string() +pub fn geoarrow_extension_metadata(crs: &CrsDef) -> Result { + Ok(serde_json::json!({ "crs": projjson(crs)? }).to_string()) } /// Arrow field metadata keys for extension types. pub const ARROW_EXTENSION_NAME_KEY: &str = "ARROW:extension:name"; pub const ARROW_EXTENSION_METADATA_KEY: &str = "ARROW:extension:metadata"; -/// Build Arrow field metadata for a WKB geometry column. -/// -/// Returns a HashMap to set on the Arrow Field's metadata. -pub fn geoarrow_field_metadata() -> HashMap { +/// Arrow field metadata for a WKB geometry column in `crs`. +pub fn geoarrow_field_metadata(crs: &CrsDef) -> Result, GeoMetaError> { let mut meta = HashMap::new(); meta.insert( ARROW_EXTENSION_NAME_KEY.to_string(), @@ -116,52 +173,88 @@ pub fn geoarrow_field_metadata() -> HashMap { ); meta.insert( ARROW_EXTENSION_METADATA_KEY.to_string(), - geoarrow_extension_metadata(4326), + geoarrow_extension_metadata(crs)?, ); - meta + Ok(meta) } #[cfg(test)] mod tests { use super::*; + use nodedb_crs::CrsContext; + use nodedb_types::geometry::{Geometry, Ordinates, Srid}; + + fn def(code: u32) -> std::sync::Arc { + CrsContext::builtin_only() + .resolve(Srid::new(code).unwrap()) + .unwrap() + } + + fn point_z(x: f64, y: f64, z: f64) -> SridGeometry { + SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(x, y), + Ordinates::new(Some(vec![z]), None), + ) + .unwrap() + } + + #[test] + fn type_names_carry_the_dimension_suffix() { + assert_eq!( + geometry_type_name(GeometryKind::Point, Dimension::Xy), + "Point" + ); + assert_eq!( + geometry_type_name(GeometryKind::Point, Dimension::Xyz), + "Point Z" + ); + assert_eq!( + geometry_type_name(GeometryKind::Polygon, Dimension::Xym), + "Polygon M" + ); + assert_eq!( + geometry_type_name(GeometryKind::LineString, Dimension::Xyzm), + "LineString ZM" + ); + } #[test] fn geoparquet_metadata_json() { - let meta = GeoParquetMetadata::single_column( - "geom", - vec!["Point".to_string(), "Polygon".to_string()], - Some([-180.0, -90.0, 180.0, 90.0]), + let geoms = [point_z(1.0, 2.0, 3.0), point_z(4.0, 5.0, 6.0)]; + let meta = GeoParquetMetadata::single_column("geom", geoms.iter(), &def(4326)).unwrap(); + let col = &meta.columns["geom"]; + assert_eq!(col.geometry_types, vec!["Point Z".to_string()]); + assert_eq!(col.bbox, Some(vec![1.0, 2.0, 3.0, 4.0, 5.0, 6.0])); + assert!( + col.crs.get("id").is_some() || col.crs.get("name").is_some(), + "{}", + col.crs ); let json = meta.to_json().unwrap(); assert!(json.contains("\"version\":\"1.1.0\"")); - assert!(json.contains("\"primary_column\":\"geom\"")); assert!(json.contains("\"encoding\":\"WKB\"")); - assert!(json.contains("EPSG")); + let parsed: GeoParquetMetadata = sonic_rs::from_str(&json).unwrap(); + assert_eq!(parsed.primary_column, "geom"); } #[test] - fn geoparquet_key() { - assert_eq!(GeoParquetMetadata::PARQUET_KEY, "geo"); + fn mixed_dimensions_give_a_2d_bbox() { + let geoms = [ + point_z(1.0, 2.0, 3.0), + SridGeometry::wgs84(Geometry::point(-1.0, 0.0)), + ]; + assert_eq!(column_bbox(geoms.iter()), Some(vec![-1.0, 0.0, 1.0, 2.0])); + assert_eq!( + column_geometry_types(geoms.iter()), + vec!["Point".to_string(), "Point Z".to_string()] + ); } #[test] - fn geoarrow_field_meta() { - let meta = geoarrow_field_metadata(); + fn geoarrow_field_meta_holds_projjson() { + let meta = geoarrow_field_metadata(&def(32648)).unwrap(); assert_eq!(meta[ARROW_EXTENSION_NAME_KEY], "geoarrow.wkb"); - assert!(meta[ARROW_EXTENSION_METADATA_KEY].contains("EPSG")); - } - - #[test] - fn geoarrow_extension_name() { - assert_eq!(GEOARROW_EXTENSION_NAME, "geoarrow.wkb"); - } - - #[test] - fn roundtrip_parquet_metadata() { - let meta = GeoParquetMetadata::single_column("location", vec!["Point".into()], None); - let json = meta.to_json().unwrap(); - let parsed: GeoParquetMetadata = sonic_rs::from_str(&json).unwrap(); - assert_eq!(parsed.primary_column, "location"); - assert_eq!(parsed.columns["location"].encoding, "WKB"); + assert!(meta[ARROW_EXTENSION_METADATA_KEY].contains("32648")); } } diff --git a/nodedb-spatial/src/geodesic/measure.rs b/nodedb-spatial/src/geodesic/measure.rs new file mode 100644 index 000000000..eab1cdb26 --- /dev/null +++ b/nodedb-spatial/src/geodesic/measure.rs @@ -0,0 +1,268 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geodesic length, perimeter, area and distance on a CRS's own ellipsoid. +//! +//! Coordinates are x = longitude, y = latitude, in degrees. Every edge is +//! a geodesic. Results are in metres (the units of the semi-major axis) +//! and square metres. + +use nodedb_crs::Ellipsoid; +use nodedb_crs::method::geodesic::Geodesic; +use nodedb_types::geometry::Geometry; + +use super::segment::{point_distance, point_segment_distance}; +use crate::parts::Parts; +use crate::predicates::edge::{ring_edges, segment_to_segment_dist_sq}; + +/// Squared degree distance under which two edges count as touching. +const TOUCH_DEG_SQ: f64 = 1e-20; + +/// Edge pairs whose approximate distance is within this factor of the +/// smallest approximate distance go through the exact geodesic refine. +const REFINE_FACTOR: f64 = 2.0; + +/// Edge pairs closer than this many metres (approximate) always refine. +const REFINE_FLOOR_M: f64 = 1_000.0; + +/// Upper bound on metres per degree, used to scale the planar degree +/// distance that ranks edge pairs. +const METRES_PER_DEGREE_MAX: f64 = 111_700.0; + +/// Floor on cos(latitude) so ranking near a pole stays finite. +const MIN_COS_LAT: f64 = 0.01; + +/// Geodesic measures on one ellipsoid. +#[derive(Debug, Clone, PartialEq)] +pub struct GeodesicMeasure { + geodesic: Geodesic, + ellipsoid: Ellipsoid, +} + +impl GeodesicMeasure { + pub fn new(ellipsoid: Ellipsoid) -> Self { + Self { + geodesic: Geodesic::new(ellipsoid.a, ellipsoid.f()), + ellipsoid, + } + } + + pub fn ellipsoid(&self) -> &Ellipsoid { + &self.ellipsoid + } + + pub fn geodesic(&self) -> &Geodesic { + &self.geodesic + } + + /// Distance between two points. + pub fn point_distance(&self, a: [f64; 2], b: [f64; 2]) -> f64 { + point_distance(&self.geodesic, a, b) + } + + /// Total length of every linear component. Areal geometries and points + /// have no length, matching PostGIS. + pub fn length(&self, geom: &Geometry) -> f64 { + match geom { + Geometry::LineString { coordinates } => self.path_length(coordinates), + Geometry::MultiLineString { coordinates } => { + coordinates.iter().map(|l| self.path_length(l)).sum() + } + Geometry::GeometryCollection { geometries } => { + geometries.iter().map(|g| self.length(g)).sum() + } + _ => 0.0, + } + } + + /// Total length of every areal component's rings, holes included. An + /// unclosed ring is closed implicitly. + pub fn perimeter(&self, geom: &Geometry) -> f64 { + let ring = |r: &Vec<[f64; 2]>| -> f64 { + ring_edges(r) + .iter() + .map(|(a, b)| self.point_distance(*a, *b)) + .sum() + }; + match geom { + Geometry::Polygon { coordinates } => coordinates.iter().map(ring).sum(), + Geometry::MultiPolygon { coordinates } => coordinates.iter().flatten().map(ring).sum(), + Geometry::GeometryCollection { geometries } => { + geometries.iter().map(|g| self.perimeter(g)).sum() + } + _ => 0.0, + } + } + + /// Area of every areal component: exterior ring less its holes, never + /// negative. Points and lines have zero area. + pub fn area(&self, geom: &Geometry) -> f64 { + match geom { + Geometry::Polygon { coordinates } => self.polygon_area(coordinates), + Geometry::MultiPolygon { coordinates } => { + coordinates.iter().map(|p| self.polygon_area(p)).sum() + } + Geometry::GeometryCollection { geometries } => { + geometries.iter().map(|g| self.area(g)).sum() + } + _ => 0.0, + } + } + + /// Unsigned area enclosed by one ring. + pub fn ring_area(&self, ring: &[[f64; 2]]) -> f64 { + if ring.len() < 3 { + return 0.0; + } + let vertices: Vec<(f64, f64)> = ring.iter().map(|c| (c[1], c[0])).collect(); + self.geodesic.polygon_measure(&vertices).area.abs() + } + + fn polygon_area(&self, rings: &[Vec<[f64; 2]>]) -> f64 { + let mut iter = rings.iter(); + let Some(exterior) = iter.next() else { + return 0.0; + }; + let holes: f64 = iter.map(|r| self.ring_area(r)).sum(); + (self.ring_area(exterior) - holes).max(0.0) + } + + fn path_length(&self, path: &[[f64; 2]]) -> f64 { + path.windows(2) + .map(|w| self.point_distance(w[0], w[1])) + .sum() + } + + /// Minimum geodesic distance between two geometries. Zero when one + /// covers a vertex of the other or their edges cross. Infinite when + /// either is EMPTY. + /// + /// Edge pairs are ranked by a planar degree distance. The pairs near + /// the best rank go through the exact search: the distance from each + /// endpoint to the other geodesic edge. + pub fn distance(&self, a: &Geometry, b: &Geometry) -> f64 { + let pa = Parts::of(a); + let pb = Parts::of(b); + if pa.segments.is_empty() || pb.segments.is_empty() { + return f64::INFINITY; + } + if pa.covers_any_vertex_of(&pb) || pb.covers_any_vertex_of(&pa) { + return 0.0; + } + let mut ranked = Vec::with_capacity(pa.segments.len() * pb.segments.len()); + for &(a1, a2) in &pa.segments { + for &(b1, b2) in &pb.segments { + if segment_to_segment_dist_sq(a1, a2, b1, b2) < TOUCH_DEG_SQ { + return 0.0; + } + ranked.push((local_distance(a1, a2, b1, b2), (a1, a2), (b1, b2))); + } + } + let best = ranked + .iter() + .map(|(approx, _, _)| *approx) + .fold(f64::INFINITY, f64::min); + let limit = best * REFINE_FACTOR + REFINE_FLOOR_M; + ranked + .iter() + .filter(|(approx, _, _)| *approx <= limit) + .map(|&(_, (a1, a2), (b1, b2))| self.segment_segment(a1, a2, b1, b2)) + .fold(f64::INFINITY, f64::min) + } + + /// Distance between two non-crossing geodesic edges: the least of each + /// endpoint's distance to the other edge. + fn segment_segment(&self, a1: [f64; 2], a2: [f64; 2], b1: [f64; 2], b2: [f64; 2]) -> f64 { + let g = &self.geodesic; + point_segment_distance(g, a1, b1, b2) + .min(point_segment_distance(g, a2, b1, b2)) + .min(point_segment_distance(g, b1, a1, a2)) + .min(point_segment_distance(g, b2, a1, a2)) + } +} + +/// Approximate metres between two edges: the planar distance after +/// longitudes shrink by cos of the edges' mean latitude. +fn local_distance(a1: [f64; 2], a2: [f64; 2], b1: [f64; 2], b2: [f64; 2]) -> f64 { + let mean_lat = (a1[1] + a2[1] + b1[1] + b2[1]) / 4.0; + let k = mean_lat.to_radians().cos().max(MIN_COS_LAT); + let scale = |c: [f64; 2]| [c[0] * k, c[1]]; + segment_to_segment_dist_sq(scale(a1), scale(a2), scale(b1), scale(b2)).sqrt() + * METRES_PER_DEGREE_MAX +} + +#[cfg(test)] +mod tests { + use super::*; + + fn wgs84() -> GeodesicMeasure { + GeodesicMeasure::new(Ellipsoid::WGS84) + } + + fn square() -> Geometry { + Geometry::polygon(vec![vec![ + [0.0, 0.0], + [1.0, 0.0], + [1.0, 1.0], + [0.0, 1.0], + [0.0, 0.0], + ]]) + } + + /// pyproj 3.8.0 (PROJ 9.8.1) `Geod(ellps="WGS84")` reference values. + #[test] + fn values_match_pyproj() { + let m = wgs84(); + assert!((m.area(&square()) - 12_308_778_361.469_452).abs() < 1e-3); + assert!((m.perimeter(&square()) - 443_770.917_248_302).abs() < 1e-6); + let meridian = Geometry::line_string(vec![[0.0, 0.0], [0.0, 1.0]]); + assert!((m.length(&meridian) - 110_574.388_557_798_78).abs() < 1e-6); + let d = m.distance( + &Geometry::point(-74.006, 40.7128), + &Geometry::point(-0.1278, 51.5074), + ); + assert!((d - 5_585_233.578_931_3).abs() < 1e-3, "{d}"); + } + + #[test] + fn hole_is_subtracted() { + let m = wgs84(); + let with_hole = Geometry::polygon(vec![ + vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0], [0.0, 0.0]], + vec![ + [0.25, 0.25], + [0.75, 0.25], + [0.75, 0.75], + [0.25, 0.75], + [0.25, 0.25], + ], + ]); + assert!(m.area(&with_hole) < m.area(&square())); + } + + #[test] + fn point_inside_and_crossing_lines_are_zero() { + let m = wgs84(); + assert_eq!(m.distance(&square(), &Geometry::point(0.5, 0.5)), 0.0); + let line = Geometry::line_string(vec![[-1.0, 0.5], [2.0, 0.5]]); + assert_eq!(m.distance(&square(), &line), 0.0); + } + + #[test] + fn point_to_polygon_edge_is_geodesic() { + let m = wgs84(); + // Due east of the square's east edge, on the equator band. + let d = m.distance(&square(), &Geometry::point(1.1, 0.5)); + let direct = m.point_distance([1.1, 0.5], [1.0, 0.5]); + assert!((d - direct).abs() < 0.5, "{d} {direct}"); + } + + #[test] + fn empty_is_infinitely_far() { + let m = wgs84(); + assert!( + m.distance(&Geometry::empty_point(), &square()) + .is_infinite() + ); + assert_eq!(m.length(&Geometry::empty_point()), 0.0); + } +} diff --git a/nodedb-spatial/src/geodesic/mod.rs b/nodedb-spatial/src/geodesic/mod.rs new file mode 100644 index 000000000..a2f968095 --- /dev/null +++ b/nodedb-spatial/src/geodesic/mod.rs @@ -0,0 +1,8 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geodesic measures on the ellipsoid of a geographic CRS. + +pub mod measure; +pub(crate) mod segment; + +pub use measure::GeodesicMeasure; diff --git a/nodedb-spatial/src/geodesic/segment.rs b/nodedb-spatial/src/geodesic/segment.rs new file mode 100644 index 000000000..3694297c5 --- /dev/null +++ b/nodedb-spatial/src/geodesic/segment.rs @@ -0,0 +1,91 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Distance from a point to a geodesic segment on an ellipsoid. + +use nodedb_crs::method::geodesic::{Geodesic, GeodesicLine}; + +/// Golden-section iterations. Each shrinks the bracket by 0.618, so 80 +/// reach below 1e-16 of the segment length. +const GOLDEN_ITERATIONS: usize = 80; + +/// Bracket width, metres, below which the search stops. +const GOLDEN_TOLERANCE_M: f64 = 1e-6; + +/// 1 / golden ratio. +const INV_PHI: f64 = 0.618_033_988_749_894_9; + +/// Geodesic distance between two (x = longitude, y = latitude) points, +/// in the units of the ellipsoid's semi-major axis. +pub(crate) fn point_distance(g: &Geodesic, a: [f64; 2], b: [f64; 2]) -> f64 { + g.inverse(a[1], a[0], b[1], b[0]).0 +} + +/// Shortest geodesic distance from `p` to the geodesic segment `a`–`b`. +/// +/// The distance from a point to the positions along a geodesic is +/// unimodal for segments shorter than half a meridian, so a golden-section +/// search over the arc length finds the foot of the perpendicular. +pub(crate) fn point_segment_distance(g: &Geodesic, p: [f64; 2], a: [f64; 2], b: [f64; 2]) -> f64 { + let (s12, azi1, _) = g.inverse(a[1], a[0], b[1], b[0]); + let to_a = point_distance(g, p, a); + if s12 <= GOLDEN_TOLERANCE_M { + return to_a; + } + let to_b = point_distance(g, p, b); + let line = GeodesicLine::new(g, a[1], a[0], azi1); + let at = |s: f64| { + let pos = line.position(s); + g.inverse(p[1], p[0], pos.lat2, pos.lon2).0 + }; + let (mut lo, mut hi) = (0.0, s12); + let mut x1 = hi - INV_PHI * (hi - lo); + let mut x2 = lo + INV_PHI * (hi - lo); + let mut f1 = at(x1); + let mut f2 = at(x2); + for _ in 0..GOLDEN_ITERATIONS { + if hi - lo <= GOLDEN_TOLERANCE_M { + break; + } + if f1 <= f2 { + hi = x2; + x2 = x1; + f2 = f1; + x1 = hi - INV_PHI * (hi - lo); + f1 = at(x1); + } else { + lo = x1; + x1 = x2; + f1 = f2; + x2 = lo + INV_PHI * (hi - lo); + f2 = at(x2); + } + } + to_a.min(to_b).min(f1).min(f2) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn wgs84() -> Geodesic { + let e = nodedb_crs::Ellipsoid::WGS84; + Geodesic::new(e.a, e.f()) + } + + /// A point north of the middle of an equatorial segment is one + /// meridian arc away: 0.1° of latitude at the equator is 11057.43 m. + #[test] + fn perpendicular_foot_on_the_equator() { + let g = wgs84(); + let d = point_segment_distance(&g, [0.5, 0.1], [0.0, 0.0], [1.0, 0.0]); + assert!((d - 11_057.43).abs() < 0.1, "{d}"); + } + + #[test] + fn beyond_an_end_measures_to_the_end() { + let g = wgs84(); + let d = point_segment_distance(&g, [2.0, 0.0], [0.0, 0.0], [1.0, 0.0]); + let e = point_distance(&g, [2.0, 0.0], [1.0, 0.0]); + assert!((d - e).abs() < 1e-6, "{d} {e}"); + } +} diff --git a/nodedb-spatial/src/hybrid.rs b/nodedb-spatial/src/hybrid.rs index d63f1932d..37f1c1d6b 100644 --- a/nodedb-spatial/src/hybrid.rs +++ b/nodedb-spatial/src/hybrid.rs @@ -23,8 +23,9 @@ use nodedb_mem::ScopedMemory; #[cfg(test)] use nodedb_types::BoundingBox; use nodedb_types::geometry::Geometry; -use nodedb_types::{BboxSpace, geometry_bbox_in}; +use nodedb_types::geometry_bbox_in; +use crate::metric::Metric; use crate::predicates; use crate::rtree::RTree; @@ -43,13 +44,16 @@ pub struct SpatialPreFilterResult { /// Execute the spatial pre-filter phase. /// -/// 1. Compute search bounding box from query geometry + optional distance expansion +/// 1. Compute search bounding box from query geometry, widened by +/// `distance_meters` under `metric` /// 2. R-tree range search → rough candidates /// 3. For each candidate, load geometry and apply exact predicate /// 4. Return filtered entry IDs /// /// The caller (vector engine) uses the candidate IDs to build a RoaringBitmap -/// that restricts HNSW graph traversal. +/// that restricts HNSW graph traversal. `metric` is the tree SRID's +/// metric: geodesic metres in a geographic CRS, grid metres in a projected +/// one. /// /// The `candidate_ids` allocation is budgeted via [`ScopedMemory::reserve`] /// before the `Vec::with_capacity`. Budget pressure is a backpressure @@ -58,15 +62,15 @@ pub fn spatial_prefilter( rtree: &RTree, query_geometry: &Geometry, distance_meters: Option, + metric: &Metric, exact_geometries: &dyn Fn(u64) -> Option, memory: &ScopedMemory, ) -> SpatialPreFilterResult { // Compute the search bbox in the tree's space. The query geometry is in // the tree's SRID: the caller rejects a mismatch before this point. - let space = rtree.space(); - let query_bbox = geometry_bbox_in(query_geometry, space); + let query_bbox = geometry_bbox_in(query_geometry, rtree.space()); let search_bbox = match distance_meters { - Some(dist) => query_bbox.expand_meters_in(dist, space), + Some(dist) => metric.widen(&query_bbox, dist), None => query_bbox, }; @@ -80,14 +84,9 @@ pub fn spatial_prefilter( let mut candidate_ids = Vec::with_capacity(rtree_candidates); for entry in &rtree_results { if let Some(doc_geom) = exact_geometries(entry.id) { - let passes = match (distance_meters, space) { - (Some(dist), BboxSpace::Geographic) => { - predicates::st_dwithin(&doc_geom, query_geometry, dist) - } - (Some(dist), BboxSpace::Planar) => { - crate::planar::planar_dwithin(&doc_geom, query_geometry, dist) - } - (None, _) => predicates::st_intersects(&doc_geom, query_geometry), + let passes = match distance_meters { + Some(dist) => metric.dwithin(&doc_geom, query_geometry, dist), + None => predicates::st_intersects(&doc_geom, query_geometry), }; if passes { candidate_ids.push(entry.id); @@ -141,7 +140,7 @@ mod tests { use crate::test_support::test_memory; fn make_tree() -> RTree { - let mut tree = RTree::new(test_memory(), nodedb_types::geometry::Srid::Wgs84); + let mut tree = RTree::new(test_memory(), crate::rtree::TreeSrid::WGS84); // 10 points in a grid from (0,0) to (9,9). for i in 0..10 { tree.insert(RTreeEntry { @@ -167,7 +166,14 @@ mod tests { }; // 200km radius should capture several nearby points. - let result = spatial_prefilter(&tree, &query, Some(200_000.0), &get_geom, &test_memory()); + let result = spatial_prefilter( + &tree, + &query, + Some(200_000.0), + &Metric::wgs84(), + &get_geom, + &test_memory(), + ); assert!(!result.candidate_ids.is_empty()); // Point (5,5) should definitely be in results (distance = 0). assert!(result.candidate_ids.contains(&5)); @@ -193,7 +199,14 @@ mod tests { } }; - let result = spatial_prefilter(&tree, &query, None, &get_geom, &test_memory()); + let result = spatial_prefilter( + &tree, + &query, + None, + &Metric::wgs84(), + &get_geom, + &test_memory(), + ); // Points 4, 5, 6 should be inside (3 is on edge → not contained by intersects returns true). assert!(result.candidate_ids.contains(&4)); assert!(result.candidate_ids.contains(&5)); @@ -207,7 +220,7 @@ mod tests { /// threshold in Euclidean metres. #[test] fn projected_prefilter_uses_planar_metres() { - let mut tree = RTree::new(test_memory(), nodedb_types::geometry::Srid::Utm48N); + let mut tree = RTree::new(test_memory(), crate::test_support::utm48n()); let points = [[500_000.0, 0.0], [500_300.0, 400.0], [510_000.0, 0.0]]; for (id, p) in points.iter().enumerate() { tree.insert(RTreeEntry { @@ -217,7 +230,16 @@ mod tests { } let get_geom = |id: u64| points.get(id as usize).map(|p| Geometry::point(p[0], p[1])); let query = Geometry::point(500_000.0, 0.0); - let result = spatial_prefilter(&tree, &query, Some(500.0), &get_geom, &test_memory()); + let result = spatial_prefilter( + &tree, + &query, + Some(500.0), + &Metric::Planar { + metres_per_unit: 1.0, + }, + &get_geom, + &test_memory(), + ); let mut ids = result.candidate_ids.clone(); ids.sort_unstable(); assert_eq!(ids, vec![0, 1]); diff --git a/nodedb-spatial/src/lib.rs b/nodedb-spatial/src/lib.rs index a68490a25..170327753 100644 --- a/nodedb-spatial/src/lib.rs +++ b/nodedb-spatial/src/lib.rs @@ -2,23 +2,29 @@ //! Spatial engine primitives shared by Origin, Lite, and WASM: R*-tree with //! bulk load and nearest-neighbor / range queries, geohash and H3 hex -//! indexes, OGC predicates (ST_Contains, ST_Intersects, ST_Within, -//! ST_DWithin, ST_Distance, etc.), WKB / WKT / GeoJSON interchange, and -//! hybrid spatial-vector composition. +//! indexes, OGC predicates and DE-9IM, geodesic measures on a CRS's own +//! ellipsoid, boolean overlay and buffer, WKB / WKT / GeoJSON interchange +//! with Z / M / ZM and EMPTY, and hybrid spatial-vector composition. //! //! Spatial collections are picked per-collection via `WITH (engine='spatial')` //! and use the columnar storage core; this crate provides the index -//! structures and predicate evaluators only. +//! structures and geometry algorithms only. pub mod crs; +pub mod distance3d; +pub mod error; pub mod geo_meta; +pub mod geodesic; pub mod geohash; pub mod geohash_index; pub mod h3; pub mod hybrid; pub mod measures; +pub mod metric; pub mod operations; +pub mod ops; pub mod orient; +pub(crate) mod parts; pub mod persist; pub mod planar; pub mod predicates; @@ -26,11 +32,15 @@ pub mod rtree; pub mod spatial_join; #[cfg(test)] mod test_support; +pub mod text; pub mod validate; +pub mod value; pub mod wkb; pub mod wkt; -pub use crs::{CrsError, transform_geometry}; +pub use crs::{transform_geometry, transform_geometry_at}; +pub use error::SpatialError; +pub use geodesic::GeodesicMeasure; pub use geohash::{geohash_decode, geohash_encode, geohash_neighbors}; pub use geohash_index::GeohashIndex; pub use h3::{ @@ -38,20 +48,29 @@ pub use h3::{ h3_to_boundary, h3_to_center, }; pub use hybrid::{SpatialPreFilterResult, bitmap_contains, ids_to_bitmap, spatial_prefilter}; -pub use measures::{st_area, st_centroid, st_centroid_in}; -pub use operations::{st_buffer, st_buffer_in, st_envelope, st_envelope_in, st_union}; +pub use measures::st_centroid; +pub use metric::Metric; +pub use operations::{st_envelope, st_envelope_in}; +pub use ops::{ + difference as st_difference, intersection as st_intersection, + sym_difference as st_symdifference, union as st_union, +}; pub use orient::orient_rings; pub use persist::{ RTreeCheckpointError, SpatialIndexMeta, SpatialIndexType, deserialize_meta, meta_storage_key, rtree_storage_key, serialize_meta, }; -pub use planar::{ - planar_area, planar_buffer, planar_distance, planar_dwithin, planar_length, planar_perimeter, +pub use planar::{planar_area, planar_distance, planar_dwithin, planar_length, planar_perimeter}; +pub use predicates::{st_contains, st_disjoint, st_distance, st_dwithin, st_intersects, st_within}; +pub use rtree::{RTree, RTreeEntry, SridMismatch, TreeSrid}; +pub use text::{SridCheck, geometry_from_bytes, geometry_from_text}; +pub use validate::{ValidityReason, is_valid, validate_geometry, validity_reason}; +pub use value::{ewkb_of_value, geometry_from_value, value_of_ewkb}; +pub use wkb::{ + ByteOrder, Wkb, WkbError, geometry_from_wkb, geometry_to_ewkb, geometry_to_ewkb_ordered, + geometry_to_wkb, geometry_to_wkb_ordered, }; -pub use predicates::{ - st_contains, st_disjoint, st_distance, st_dwithin, st_intersection, st_intersects, st_within, +pub use wkt::{ + Ewkt, WktError, geometry_from_ewkt, geometry_from_wkt, geometry_to_ewkt, geometry_to_wkt, + shape_to_wkt, }; -pub use rtree::{RTree, RTreeEntry, SridMismatch}; -pub use validate::{is_valid, validate_geometry}; -pub use wkb::{geometry_from_wkb, geometry_to_ewkb, geometry_to_wkb}; -pub use wkt::{Ewkt, geometry_from_ewkt, geometry_from_wkt, geometry_to_wkt}; diff --git a/nodedb-spatial/src/measures.rs b/nodedb-spatial/src/measures.rs index cb94c2ff8..c0d9709ff 100644 --- a/nodedb-spatial/src/measures.rs +++ b/nodedb-spatial/src/measures.rs @@ -1,115 +1,36 @@ // SPDX-License-Identifier: Apache-2.0 -//! Geodesic measures over geometry: area and centroid. +//! Centroid of a geometry. //! -//! Area uses the spherical-excess formula rather than a projected shoelace, -//! so it stays correct for polygons spanning arbitrary extents — the same -//! basis as [`crate::st_distance`], which is haversine. Centroid follows OGC -//! semantics: the result is the centroid of the highest-dimension components -//! present, so a `GeometryCollection` of a polygon and a stray point returns -//! the polygon's centroid, not a blend of the two. +//! The result is the centroid of the highest-dimension components present, +//! so a `GeometryCollection` of a polygon and a stray point returns the +//! polygon's centroid, not a blend of the two. Components weigh by their +//! area or length in the CRS's [`Metric`]: geodesic on a geographic CRS, +//! planar on a projected one. -use nodedb_types::BboxSpace; use nodedb_types::geometry::Geometry; -/// Mean Earth radius in meters, matching `nodedb_types::geometry`'s haversine. -const EARTH_RADIUS_M: f64 = 6_371_000.0; - -/// Geodesic area of a geometry in square meters. -/// -/// Areal geometries (`Polygon`, `MultiPolygon`) measure their exterior ring -/// minus their holes. Point and linear geometries have zero area, matching -/// PostGIS. A `GeometryCollection` sums the areas of its members. -pub fn st_area(geom: &Geometry) -> f64 { - match geom { - Geometry::Polygon { coordinates } => polygon_area(coordinates), - Geometry::MultiPolygon { coordinates } => { - coordinates.iter().map(|rings| polygon_area(rings)).sum() - } - Geometry::GeometryCollection { geometries } => geometries.iter().map(st_area).sum(), - Geometry::Point { .. } - | Geometry::LineString { .. } - | Geometry::MultiPoint { .. } - | Geometry::MultiLineString { .. } => 0.0, - // `Geometry` is `#[non_exhaustive]`. A geometry kind added upstream is - // not known to be areal, and reporting a fabricated area for it would - // be worse than reporting none. - _ => 0.0, - } -} - -/// Area of one polygon: exterior ring less every hole. -fn polygon_area(rings: &[Vec<[f64; 2]>]) -> f64 { - let mut iter = rings.iter(); - let Some(exterior) = iter.next() else { - return 0.0; - }; - let holes: f64 = iter.map(|ring| ring_area(ring)).sum(); - (ring_area(exterior) - holes).max(0.0) -} - -/// Unsigned area of a single closed ring via spherical excess. -/// -/// For a ring of vertices `(λᵢ, φᵢ)` in radians the enclosed area is -/// `R²/2 · |Σ (λᵢ₊₁ − λᵢ)(2 + sin φᵢ + sin φᵢ₊₁)|`. Longitude deltas are -/// normalized into `[-π, π]` so a ring crossing the antimeridian measures its -/// true extent instead of wrapping the long way around the globe. -fn ring_area(ring: &[[f64; 2]]) -> f64 { - if ring.len() < 3 { - return 0.0; - } - let mut total = 0.0; - for i in 0..ring.len() { - let a = ring[i]; - let b = ring[(i + 1) % ring.len()]; - let mut dlng = (b[0] - a[0]).to_radians(); - if dlng > std::f64::consts::PI { - dlng -= std::f64::consts::TAU; - } else if dlng < -std::f64::consts::PI { - dlng += std::f64::consts::TAU; - } - total += dlng * (2.0 + a[1].to_radians().sin() + b[1].to_radians().sin()); - } - (total * EARTH_RADIUS_M * EARTH_RADIUS_M / 2.0).abs() -} +use crate::metric::Metric; /// Centroid of a geometry, as a `Point`. /// /// Follows OGC dimension precedence: areal components win over linear, which /// win over punctual. Returns `None` only when the geometry carries no -/// vertices at all, or when every component of its winning dimension is -/// degenerate (zero area / zero length) — those fall back to the next -/// dimension down rather than returning nothing. -/// -/// Weights are geodesic (spherical area, haversine length). Same as -/// `st_centroid_in(geom, BboxSpace::Geographic)`. -pub fn st_centroid(geom: &Geometry) -> Option { - st_centroid_in(geom, BboxSpace::Geographic) +/// vertices at all. A winning dimension whose every component is degenerate +/// (zero area or zero length) falls back to the next dimension down. +pub fn st_centroid(geom: &Geometry, metric: &Metric) -> Option { + let [x, y] = centroid_coords(geom, metric)?; + Some(Geometry::point(x, y)) } -/// Centroid of a geometry in `space`, as a `Point`. -/// -/// Planar space weights components by planar area and Euclidean length, so -/// a projected geometry's centroid is in the same metres as its input. -pub fn st_centroid_in(geom: &Geometry, space: BboxSpace) -> Option { - let [lng, lat] = centroid_coords(geom, space)?; - Some(Geometry::point(lng, lat)) +/// Unsigned area of a ring, square metres. +fn ring_weight(ring: &[[f64; 2]], metric: &Metric) -> f64 { + metric.ring_area(ring) } -/// Unsigned area of a ring in `space`: square metres in either space. -fn ring_weight(ring: &[[f64; 2]], space: BboxSpace) -> f64 { - match space { - BboxSpace::Geographic => ring_area(ring), - BboxSpace::Planar => crate::planar::area::planar_ring_area(ring), - } -} - -/// Length of one segment in `space`, metres. -fn segment_weight(a: [f64; 2], b: [f64; 2], space: BboxSpace) -> f64 { - match space { - BboxSpace::Geographic => nodedb_types::geometry::haversine_distance(a[0], a[1], b[0], b[1]), - BboxSpace::Planar => (b[0] - a[0]).hypot(b[1] - a[1]), - } +/// Length of one segment, metres. +fn segment_weight(a: [f64; 2], b: [f64; 2], metric: &Metric) -> f64 { + metric.segment_length(a, b) } /// A weighted point accumulator: `(Σ w·lng, Σ w·lat, Σ w)`. @@ -142,55 +63,49 @@ impl Weighted { } } -fn centroid_coords(geom: &Geometry, space: BboxSpace) -> Option<[f64; 2]> { - areal_centroid(geom, space) +fn centroid_coords(geom: &Geometry, metric: &Metric) -> Option<[f64; 2]> { + areal_centroid(geom, metric) .and_then(Weighted::resolve) - .or_else(|| linear_centroid(geom, space).and_then(Weighted::resolve)) + .or_else(|| linear_centroid(geom, metric).and_then(Weighted::resolve)) .or_else(|| punctual_centroid(geom).and_then(Weighted::resolve)) } /// Area-weighted centroid of every areal component, or `None` if there are no /// areal components at all. -fn areal_centroid(geom: &Geometry, space: BboxSpace) -> Option { +fn areal_centroid(geom: &Geometry, metric: &Metric) -> Option { match geom { - Geometry::Polygon { coordinates } => Some(polygon_centroid(coordinates, space)), + Geometry::Polygon { coordinates } => Some(polygon_centroid(coordinates, metric)), Geometry::MultiPolygon { coordinates } => { let mut acc = Weighted::default(); for rings in coordinates { - acc.merge(polygon_centroid(rings, space)); + acc.merge(polygon_centroid(rings, metric)); } Some(acc) } - Geometry::GeometryCollection { geometries } => collect(geometries, space, areal_centroid), + Geometry::GeometryCollection { geometries } => collect(geometries, metric, areal_centroid), Geometry::Point { .. } | Geometry::LineString { .. } | Geometry::MultiPoint { .. } | Geometry::MultiLineString { .. } => None, - // `Geometry` is `#[non_exhaustive]`; an unknown kind is not areal, so - // it falls through to the linear and punctual dimensions below. - _ => None, } } /// Length-weighted centroid of every linear component. -fn linear_centroid(geom: &Geometry, space: BboxSpace) -> Option { +fn linear_centroid(geom: &Geometry, metric: &Metric) -> Option { match geom { - Geometry::LineString { coordinates } => Some(line_centroid(coordinates, space)), + Geometry::LineString { coordinates } => Some(line_centroid(coordinates, metric)), Geometry::MultiLineString { coordinates } => { let mut acc = Weighted::default(); for line in coordinates { - acc.merge(line_centroid(line, space)); + acc.merge(line_centroid(line, metric)); } Some(acc) } - Geometry::GeometryCollection { geometries } => collect(geometries, space, linear_centroid), + Geometry::GeometryCollection { geometries } => collect(geometries, metric, linear_centroid), Geometry::Point { .. } | Geometry::MultiPoint { .. } | Geometry::Polygon { .. } | Geometry::MultiPolygon { .. } => None, - // `Geometry` is `#[non_exhaustive]`; an unknown kind is not linear, so - // it falls through to the punctual dimension. - _ => None, } } @@ -208,13 +123,13 @@ fn punctual_centroid(geom: &Geometry) -> Option { /// when no member contributed at that dimension. fn collect( geometries: &[Geometry], - space: BboxSpace, - f: fn(&Geometry, BboxSpace) -> Option, + metric: &Metric, + f: fn(&Geometry, &Metric) -> Option, ) -> Option { let mut acc = Weighted::default(); let mut any = false; for member in geometries { - if let Some(part) = f(member, space) { + if let Some(part) = f(member, metric) { acc.merge(part); any = true; } @@ -224,23 +139,23 @@ fn collect( /// Centroid of one polygon, weighting the exterior ring positively and each /// hole negatively so the hole's mass is removed from the result. -fn polygon_centroid(rings: &[Vec<[f64; 2]>], space: BboxSpace) -> Weighted { +fn polygon_centroid(rings: &[Vec<[f64; 2]>], metric: &Metric) -> Weighted { let mut acc = Weighted::default(); let mut iter = rings.iter(); let Some(exterior) = iter.next() else { return acc; }; if let Some(point) = ring_centroid(exterior) { - acc.add(point, ring_weight(exterior, space)); + acc.add(point, ring_weight(exterior, metric)); } for hole in iter { if let Some(point) = ring_centroid(hole) { - acc.add(point, -ring_weight(hole, space)); + acc.add(point, -ring_weight(hole, metric)); } } - // Holes can only ever cancel the exterior down to nothing; a negative - // total weight would mean malformed input (holes larger than the shell), - // which must not flip the centroid to the far side of the polygon. + // Holes cancel at most the whole exterior. A negative total weight + // means malformed input (holes larger than the shell), and it must not + // flip the centroid to the far side of the polygon. if acc.weight <= 0.0 { return Weighted::default(); } @@ -275,108 +190,28 @@ fn ring_centroid(ring: &[[f64; 2]]) -> Option<[f64; 2]> { } /// Length-weighted centroid of a polyline: each segment contributes its -/// midpoint weighted by its length in `space`. -fn line_centroid(coords: &[[f64; 2]], space: BboxSpace) -> Weighted { +/// midpoint weighted by its length in `metric`. +fn line_centroid(coords: &[[f64; 2]], metric: &Metric) -> Weighted { let mut acc = Weighted::default(); for pair in coords.windows(2) { let (a, b) = (pair[0], pair[1]); - let length = segment_weight(a, b, space); + let length = segment_weight(a, b, metric); acc.add([(a[0] + b[0]) / 2.0, (a[1] + b[1]) / 2.0], length); } acc } /// Every vertex of a geometry, in document order. -fn vertices(geom: &Geometry) -> Vec<[f64; 2]> { - match geom { - Geometry::Point { coordinates } => vec![*coordinates], - Geometry::LineString { coordinates } | Geometry::MultiPoint { coordinates } => { - coordinates.clone() - } - Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { - coordinates.iter().flatten().copied().collect() - } - Geometry::MultiPolygon { coordinates } => { - coordinates.iter().flatten().flatten().copied().collect() - } - Geometry::GeometryCollection { geometries } => { - geometries.iter().flat_map(vertices).collect() - } - // `Geometry` is `#[non_exhaustive]`; an unknown kind exposes no - // coordinates this crate can read, so it contributes no vertices and - // the centroid of a geometry made only of such parts is `None`. - _ => Vec::new(), - } +fn vertices(geom: &Geometry) -> impl Iterator + '_ { + geom.coords() } #[cfg(test)] mod tests { use super::*; - /// One degree of latitude at the equator is ~111.19 km; a 1°×1° cell is - /// therefore ~1.236e10 m². Spherical excess must land within a fraction of - /// a percent of that. - #[test] - fn area_of_unit_degree_cell_at_equator() { - let poly = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [1.0, 0.0], - [1.0, 1.0], - [0.0, 1.0], - [0.0, 0.0], - ]]); - let area = st_area(&poly); - let expected = 1.236e10; - assert!( - (area - expected).abs() / expected < 0.01, - "expected ~{expected} m², got {area}" - ); - } - - /// Winding order must not change the magnitude of the result. - #[test] - fn area_is_orientation_independent() { - let ccw = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [1.0, 0.0], - [1.0, 1.0], - [0.0, 1.0], - [0.0, 0.0], - ]]); - let cw = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [0.0, 1.0], - [1.0, 1.0], - [1.0, 0.0], - [0.0, 0.0], - ]]); - assert!((st_area(&ccw) - st_area(&cw)).abs() < 1.0); - } - - #[test] - fn area_subtracts_holes() { - let solid = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [4.0, 0.0], - [4.0, 4.0], - [0.0, 4.0], - [0.0, 0.0], - ]]); - let with_hole = Geometry::polygon(vec![ - vec![[0.0, 0.0], [4.0, 0.0], [4.0, 4.0], [0.0, 4.0], [0.0, 0.0]], - vec![[1.0, 1.0], [2.0, 1.0], [2.0, 2.0], [1.0, 2.0], [1.0, 1.0]], - ]); - assert!( - st_area(&with_hole) < st_area(&solid), - "hole must reduce the measured area" - ); - } - - #[test] - fn area_of_non_areal_geometry_is_zero() { - let line = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]); - assert_eq!(st_area(&line), 0.0); - assert_eq!(st_area(&Geometry::point(1.0, 2.0)), 0.0); + fn st_centroid(geom: &Geometry) -> Option { + super::st_centroid(geom, &Metric::wgs84()) } #[test] @@ -401,8 +236,8 @@ mod tests { assert!((coordinates[1] - 1.0).abs() < 1e-9); } - /// An L-shape's centroid must sit at the area-weighted center, which the - /// vertex mean would get wrong. + /// An L-shape's centroid sits at the area-weighted center, which the + /// vertex mean misses. #[test] fn centroid_is_area_weighted_not_vertex_mean() { let l_shape = Geometry::polygon(vec![vec![ @@ -419,7 +254,7 @@ mod tests { }; // A 4x1 arm (area 4, centroid (2, 0.5)) plus a 1x3 arm (area 3, // centroid (0.5, 2.5)) gives 9.5/7 ≈ 1.357 on both axes. The vertex - // mean would be 10/6 ≈ 1.667, so this discriminates the two. + // mean is 10/6 ≈ 1.667, so this discriminates the two. let expected = 9.5 / 7.0; assert!( (coordinates[0] - expected).abs() < 0.01 && (coordinates[1] - expected).abs() < 0.01, diff --git a/nodedb-spatial/src/metric.rs b/nodedb-spatial/src/metric.rs new file mode 100644 index 000000000..030235ef6 --- /dev/null +++ b/nodedb-spatial/src/metric.rs @@ -0,0 +1,320 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The measure basis of a CRS: geodesic on its ellipsoid, or planar in its +//! linear unit. Every result is metres or square metres. + +use nodedb_crs::datum::geodetic_to_ecef; +use nodedb_crs::{CrsContext, CrsDef, CrsKind, Ellipsoid, UnknownSrid}; +use nodedb_types::geometry::{Geometry, Srid, SridGeometry}; +use nodedb_types::{BboxSpace, BoundingBox, geometry_bbox_in}; + +use crate::distance3d::{distance_3d, length_3d}; +use crate::geodesic::GeodesicMeasure; +use crate::planar; + +/// Smallest radius of curvature of any Earth ellipsoid in use, metres: the +/// WGS 84 meridional radius at the equator, a(1 − e²), rounded down. A box +/// widened with it covers every point within the distance. +const MIN_RADIUS_OF_CURVATURE_M: f64 = 6_335_000.0; + +/// Smallest distance from the Earth's centre to its surface, metres: the +/// WGS 84 polar radius 6356752 m, less 11 km for the deepest trench. +const MIN_SURFACE_RADIUS_M: f64 = 6_345_000.0; + +/// How a CRS measures. +#[derive(Debug, Clone, PartialEq)] +pub enum Metric { + /// A geographic CRS: geodesics on its ellipsoid. + Geodesic(Box), + /// A projected CRS: Euclidean in the grid, scaled to metres. + Planar { metres_per_unit: f64 }, +} + +impl Metric { + /// The metric of `def`. + pub fn of(def: &CrsDef) -> Self { + match def.kind { + CrsKind::Geographic => { + Metric::Geodesic(Box::new(GeodesicMeasure::new(def.datum.ellipsoid))) + } + CrsKind::Projected => Metric::Planar { + metres_per_unit: def.unit.metres_per_unit, + }, + } + } + + /// The metric of `srid` in `ctx`. + pub fn resolve(ctx: &CrsContext<'_>, srid: Srid) -> Result { + ctx.resolve(srid).map(|def| Metric::of(&def)) + } + + /// Geodesics on WGS 84. + pub fn wgs84() -> Self { + Metric::Geodesic(Box::new(GeodesicMeasure::new(Ellipsoid::WGS84))) + } + + pub fn space(&self) -> BboxSpace { + match self { + Metric::Geodesic(_) => BboxSpace::Geographic, + Metric::Planar { .. } => BboxSpace::Planar, + } + } + + /// Metres in one coordinate unit of a projected CRS. `None` for a + /// geographic CRS, whose degrees have no fixed length. + pub fn metres_per_unit(&self) -> Option { + match self { + Metric::Geodesic(_) => None, + Metric::Planar { metres_per_unit } => Some(*metres_per_unit), + } + } + + /// Minimum distance in metres. Infinite when either is EMPTY. + pub fn distance(&self, a: &Geometry, b: &Geometry) -> f64 { + if a.is_empty() || b.is_empty() { + return f64::INFINITY; + } + match self { + Metric::Geodesic(m) => m.distance(a, b), + Metric::Planar { metres_per_unit } => planar::planar_distance(a, b) * metres_per_unit, + } + } + + /// Whether `a` and `b` lie within `metres`. Never true for an EMPTY + /// operand. A widened bbox rejects distant pairs before the exact + /// distance runs. + pub fn dwithin(&self, a: &Geometry, b: &Geometry, metres: f64) -> bool { + if a.is_empty() || b.is_empty() { + return false; + } + let a_box = self.widen(&geometry_bbox_in(a, self.space()), metres); + if !a_box.intersects(&geometry_bbox_in(b, self.space())) { + return false; + } + self.distance(a, b) <= metres + } + + /// Widen `bbox` so it covers every point within `metres` of it. + /// + /// A geographic box grows by the spherical cap on the smallest Earth + /// radius of curvature, measured at the box's poleward edge. A box + /// that reaches a pole spans every longitude. + pub fn widen(&self, bbox: &BoundingBox, metres: f64) -> BoundingBox { + match self { + Metric::Planar { metres_per_unit } => { + let units = metres / metres_per_unit; + BoundingBox::new( + bbox.min_lng - units, + bbox.min_lat - units, + bbox.max_lng + units, + bbox.max_lat + units, + ) + } + Metric::Geodesic(_) => widen_geographic(bbox, metres), + } + } + + /// Total length of every linear component, metres. + pub fn length(&self, geom: &Geometry) -> f64 { + match self { + Metric::Geodesic(m) => m.length(geom), + Metric::Planar { metres_per_unit } => planar::planar_length(geom) * metres_per_unit, + } + } + + /// Total boundary length of every areal component, metres. + pub fn perimeter(&self, geom: &Geometry) -> f64 { + match self { + Metric::Geodesic(m) => m.perimeter(geom), + Metric::Planar { metres_per_unit } => planar::planar_perimeter(geom) * metres_per_unit, + } + } + + /// Area, square metres. + pub fn area(&self, geom: &Geometry) -> f64 { + match self { + Metric::Geodesic(m) => m.area(geom), + Metric::Planar { metres_per_unit } => { + planar::planar_area(geom) * metres_per_unit * metres_per_unit + } + } + } + + /// Unsigned area enclosed by one ring, square metres. + pub fn ring_area(&self, ring: &[[f64; 2]]) -> f64 { + match self { + Metric::Geodesic(m) => m.ring_area(ring), + Metric::Planar { metres_per_unit } => { + planar::planar_ring_area(ring) * metres_per_unit * metres_per_unit + } + } + } + + /// Length of one edge, metres. + pub fn segment_length(&self, a: [f64; 2], b: [f64; 2]) -> f64 { + match self { + Metric::Geodesic(m) => m.point_distance(a, b), + Metric::Planar { metres_per_unit } => { + (b[0] - a[0]).hypot(b[1] - a[1]) * metres_per_unit + } + } + } + + /// One position in Cartesian metres: grid x, y scaled to metres and Z + /// for a projected CRS, ECEF on the ellipsoid for a geographic one. + pub fn cartesian(&self, c: [f64; 2], z: f64) -> [f64; 3] { + match self { + Metric::Geodesic(m) => { + geodetic_to_ecef(c[0].to_radians(), c[1].to_radians(), z, m.ellipsoid()) + } + Metric::Planar { metres_per_unit } => { + [c[0] * metres_per_unit, c[1] * metres_per_unit, z] + } + } + } + + /// Minimum 3D distance, metres: Euclidean in grid metres for a + /// projected CRS, the ECEF chord for a geographic one. Infinite when + /// either is EMPTY. + pub fn distance_3d(&self, a: &SridGeometry, b: &SridGeometry) -> f64 { + distance_3d(a, b, &|c, z| self.cartesian(c, z)) + } + + /// Whether `a` and `b` lie within `metres` in 3D. Never true for an + /// EMPTY operand. A widened bbox rejects distant pairs first: by + /// `metres` in a projected CRS, by the longest surface arc a chord of + /// `metres` spans in a geographic one. + pub fn dwithin_3d(&self, a: &SridGeometry, b: &SridGeometry, metres: f64) -> bool { + if a.is_empty() || b.is_empty() { + return false; + } + let reach = self.reach_3d(metres); + let a_box = self.widen(&geometry_bbox_in(a.geometry(), self.space()), reach); + if !a_box.intersects(&geometry_bbox_in(b.geometry(), self.space())) { + return false; + } + self.distance_3d(a, b) <= metres + } + + /// The horizontal distance a 3D distance of `metres` can span: itself + /// in a projected CRS, the arc of a chord of `metres` on the smallest + /// sphere a surface point lies on in a geographic one. + pub fn reach_3d(&self, metres: f64) -> f64 { + match self { + Metric::Planar { .. } => metres, + Metric::Geodesic(_) => { + let half = metres / (2.0 * MIN_SURFACE_RADIUS_M); + if half >= 1.0 { + std::f64::consts::PI * MIN_SURFACE_RADIUS_M + } else { + 2.0 * MIN_SURFACE_RADIUS_M * half.asin() + } + } + } + } + + /// Total 3D length of every linear component, metres. A geographic + /// edge is the chord between its ECEF endpoints. + pub fn length_3d(&self, g: &SridGeometry) -> f64 { + length_3d(g, &|c, z| self.cartesian(c, z)) + } +} + +fn widen_geographic(bbox: &BoundingBox, metres: f64) -> BoundingBox { + let angle = metres / MIN_RADIUS_OF_CURVATURE_M; + let lat_delta = angle.to_degrees(); + let min_lat = (bbox.min_lat - lat_delta).max(-90.0); + let max_lat = (bbox.max_lat + lat_delta).min(90.0); + let poleward = min_lat.abs().max(max_lat.abs()); + let cos_lat = poleward.to_radians().cos(); + let sin_angle = angle.min(std::f64::consts::FRAC_PI_2).sin(); + if poleward >= 90.0 || sin_angle >= cos_lat { + return BoundingBox::new(-180.0, min_lat, 180.0, max_lat); + } + let lng_delta = (sin_angle / cos_lat).asin().to_degrees(); + BoundingBox::new( + bbox.min_lng - lng_delta, + min_lat, + bbox.max_lng + lng_delta, + max_lat, + ) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn widen_covers_the_true_distance() { + let m = Metric::wgs84(); + let point = BoundingBox::new(10.0, 0.0, 10.0, 0.0); + let wide = m.widen(&point, 111_000.0); + // One degree of latitude at the equator is 110 574 m. + assert!(wide.max_lat >= 1.0, "{wide:?}"); + let north = BoundingBox::new(10.0, 70.0, 10.0, 70.0); + let wide = m.widen(&north, 100_000.0); + let east = m.segment_length([10.0, 70.0], [wide.max_lng, 70.0]); + assert!(east >= 100_000.0, "{east}"); + } + + #[test] + fn widen_reaching_a_pole_spans_every_longitude() { + let m = Metric::wgs84(); + let wide = m.widen(&BoundingBox::new(0.0, 89.5, 0.0, 89.5), 100_000.0); + assert_eq!((wide.min_lng, wide.max_lng), (-180.0, 180.0)); + } + + #[test] + fn planar_scales_by_the_unit() { + let feet = Metric::Planar { + metres_per_unit: 0.3048, + }; + let d = feet.distance(&Geometry::point(0.0, 0.0), &Geometry::point(1000.0, 0.0)); + assert!((d - 304.8).abs() < 1e-9); + assert!(feet.dwithin( + &Geometry::point(0.0, 0.0), + &Geometry::point(1000.0, 0.0), + 305.0 + )); + } + + #[test] + fn empty_operands_are_never_within() { + let m = Metric::wgs84(); + assert!(!m.dwithin(&Geometry::empty_point(), &Geometry::point(0.0, 0.0), 1e9)); + assert!( + m.distance(&Geometry::empty_point(), &Geometry::point(0.0, 0.0)) + .is_infinite() + ); + } + + /// A chord shorter than the arc it spans still passes the prefilter. + #[test] + fn dwithin_3d_reaches_past_the_chord() { + let m = Metric::wgs84(); + let a = SridGeometry::wgs84(Geometry::point(0.0, 0.0)); + let b = SridGeometry::wgs84(Geometry::point(30.0, 0.0)); + let chord = m.distance_3d(&a, &b); + let arc = m.distance(a.geometry(), b.geometry()); + assert!(chord < arc); + assert!(m.dwithin_3d(&a, &b, chord + 1.0)); + assert!(!m.dwithin_3d(&a, &b, chord - 1.0)); + } + + /// ECEF chord between two points 1 km apart in height on one spot. + #[test] + fn geographic_3d_distance_is_the_ecef_chord() { + use nodedb_types::geometry::Ordinates; + let m = Metric::wgs84(); + let at = |h: f64| { + SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(101.7, 3.1), + Ordinates::new(Some(vec![h]), None), + ) + .unwrap() + }; + let d = m.distance_3d(&at(0.0), &at(1000.0)); + assert!((d - 1000.0).abs() < 1e-6, "{d}"); + } +} diff --git a/nodedb-spatial/src/operations.rs b/nodedb-spatial/src/operations.rs index d910c8cf2..b0de0ee38 100644 --- a/nodedb-spatial/src/operations.rs +++ b/nodedb-spatial/src/operations.rs @@ -1,490 +1,61 @@ // SPDX-License-Identifier: Apache-2.0 -//! Geometry construction and transformation operations. -//! -//! ST_Buffer, ST_Envelope, ST_Union — produce new geometries from existing ones. +//! `ST_Envelope`: the bounding box of a geometry as a geometry. use nodedb_types::geometry::Geometry; -use nodedb_types::{BboxSpace, BoundingBox, geometry_bbox_in}; +use nodedb_types::{BboxSpace, geometry_bbox_in}; -/// Metres per degree of latitude (WGS 84 meridian average). -const METRES_PER_DEGREE_LAT: f64 = 110_540.0; - -/// Metres per degree of longitude at the equator (WGS 84). -const METRES_PER_DEGREE_LNG_EQUATOR: f64 = 111_320.0; - -/// Floor on cos(latitude) so a buffer near a pole stays finite. -const MIN_COS_LAT: f64 = 0.001; - -/// Floor on a vector length before normalising it, so a degenerate edge -/// does not divide by zero. -const MIN_VECTOR_LEN: f64 = 1e-12; - -/// ST_Buffer(geom, distance_meters) → Polygon, in geographic space. -/// -/// Same as `st_buffer_in(geom, distance_meters, segments, BboxSpace::Geographic)`. -pub fn st_buffer(geom: &Geometry, distance_meters: f64, segments: usize) -> Geometry { - st_buffer_in(geom, distance_meters, segments, BboxSpace::Geographic) -} - -/// ST_Buffer(geom, distance_meters) → Polygon, in `space`. -/// -/// - Point → `segments`-sided circle polygon -/// - LineString → buffered corridor (parallel offset + end caps) -/// - Polygon → expanded polygon (vertex offset outward) -/// -/// Geographic space converts metres to degrees by equirectangular -/// approximation: `Δlng = meters / (111320 * cos(lat))`, -/// `Δlat = meters / 110540`, accurate to <0.5% within ±70° latitude. -/// Planar space adds metres directly. -pub fn st_buffer_in( - geom: &Geometry, - distance_meters: f64, - segments: usize, - space: BboxSpace, -) -> Geometry { - let segments = segments.max(4); - - match geom { - Geometry::Point { coordinates } => buffer_point( - coordinates[0], - coordinates[1], - distance_meters, - segments, - space, - ), - Geometry::LineString { coordinates } => { - buffer_linestring(coordinates, distance_meters, segments, space) - } - Geometry::Polygon { coordinates } => buffer_polygon(coordinates, distance_meters, space), - // Multi* types: buffer each component and collect. - Geometry::MultiPoint { coordinates } => { - let polys: Vec>> = coordinates - .iter() - .map(|pt| { - if let Geometry::Polygon { coordinates: rings } = - buffer_point(pt[0], pt[1], distance_meters, segments, space) - { - rings - } else { - vec![] - } - }) - .collect(); - Geometry::MultiPolygon { coordinates: polys } - } - _ => { - // For unsupported types, fall back to buffering the bbox. - let bb = geometry_bbox_in(geom, space).expand_meters_in(distance_meters, space); - bbox_to_polygon(&bb) - } +/// `ST_Envelope(geom)`: the bounding box in `space` as a polygon. A box of +/// zero width and height is a point, a box of zero width or height a line, +/// as PostGIS returns them. EMPTY stays EMPTY. +pub fn st_envelope_in(geom: &Geometry, space: BboxSpace) -> Geometry { + if geom.is_empty() { + return geom.clone(); } -} - -/// Coordinate deltas `(dlng, dlat)` that `meters` spans at latitude `lat`. -fn metre_deltas(meters: f64, lat: f64, space: BboxSpace) -> (f64, f64) { - match space { - BboxSpace::Geographic => ( - meters / (METRES_PER_DEGREE_LNG_EQUATOR * lat.to_radians().cos().max(MIN_COS_LAT)), - meters / METRES_PER_DEGREE_LAT, - ), - BboxSpace::Planar => (meters, meters), + let bb = geometry_bbox_in(geom, space); + let (lo, hi) = ([bb.min_lng, bb.min_lat], [bb.max_lng, bb.max_lat]); + match (lo[0] == hi[0], lo[1] == hi[1]) { + (true, true) => Geometry::point(lo[0], lo[1]), + (true, false) | (false, true) => Geometry::line_string(vec![lo, hi]), + (false, false) => Geometry::polygon(vec![vec![lo, [hi[0], lo[1]], hi, [lo[0], hi[1]], lo]]), } } -/// ST_Envelope(geom) → Polygon — bounding box as a polygon, in geographic -/// space. +/// [`st_envelope_in`] in geographic space. pub fn st_envelope(geom: &Geometry) -> Geometry { st_envelope_in(geom, BboxSpace::Geographic) } -/// ST_Envelope(geom) → Polygon — bounding box as a polygon, in `space`. -pub fn st_envelope_in(geom: &Geometry, space: BboxSpace) -> Geometry { - let bb = geometry_bbox_in(geom, space); - bbox_to_polygon(&bb) -} - -/// ST_Union(a, b) → Geometry — merge two geometries. -/// -/// For this version, collects into appropriate Multi* type or -/// GeometryCollection. True polygon clipping (Weiler-Atherton) is -/// deferred — this handles the common cases correctly. -pub fn st_union(a: &Geometry, b: &Geometry) -> Geometry { - match (a, b) { - // Point + Point → MultiPoint - (Geometry::Point { coordinates: ca }, Geometry::Point { coordinates: cb }) => { - Geometry::MultiPoint { - coordinates: vec![*ca, *cb], - } - } - // LineString + LineString → MultiLineString - (Geometry::LineString { coordinates: la }, Geometry::LineString { coordinates: lb }) => { - Geometry::MultiLineString { - coordinates: vec![la.clone(), lb.clone()], - } - } - // Polygon + Polygon → MultiPolygon - (Geometry::Polygon { coordinates: ra }, Geometry::Polygon { coordinates: rb }) => { - Geometry::MultiPolygon { - coordinates: vec![ra.clone(), rb.clone()], - } - } - // Same-type Multi* + element → extend - (Geometry::MultiPoint { coordinates: pts }, Geometry::Point { coordinates: pt }) => { - let mut coords = pts.clone(); - coords.push(*pt); - Geometry::MultiPoint { - coordinates: coords, - } - } - (Geometry::Point { coordinates: pt }, Geometry::MultiPoint { coordinates: pts }) => { - let mut coords = vec![*pt]; - coords.extend_from_slice(pts); - Geometry::MultiPoint { - coordinates: coords, - } - } - // Everything else → GeometryCollection - _ => Geometry::GeometryCollection { - geometries: vec![a.clone(), b.clone()], - }, - } -} - -// ── Buffer helpers ── - -/// Buffer a point into an approximate circle polygon. -fn buffer_point(lng: f64, lat: f64, meters: f64, segments: usize, space: BboxSpace) -> Geometry { - let (dlng, dlat) = metre_deltas(meters, lat, space); - - let mut ring = Vec::with_capacity(segments + 1); - for i in 0..segments { - let angle = 2.0 * std::f64::consts::PI * (i as f64) / (segments as f64); - ring.push([lng + dlng * angle.cos(), lat + dlat * angle.sin()]); - } - // Close the ring. - ring.push(ring[0]); - - Geometry::Polygon { - coordinates: vec![ring], - } -} - -/// Buffer a linestring by creating a corridor (parallel offset on both sides + end caps). -fn buffer_linestring( - line: &[[f64; 2]], - meters: f64, - segments: usize, - space: BboxSpace, -) -> Geometry { - if line.is_empty() { - return Geometry::Polygon { - coordinates: vec![vec![]], - }; - } - if line.len() == 1 { - return buffer_point(line[0][0], line[0][1], meters, segments, space); - } - - // Build the offset polygon: left side forward, right side backward, with - // semicircular end caps. - let mut left_side = Vec::new(); - let mut right_side = Vec::new(); - - for i in 0..line.len() - 1 { - let (nl, nr) = offset_segment(line[i], line[i + 1], meters, space); - left_side.push(nl.0); - left_side.push(nl.1); - right_side.push(nr.0); - right_side.push(nr.1); - } - - // Build polygon: left side forward → end cap → right side backward → start cap. - let mut ring = Vec::new(); - ring.extend_from_slice(&left_side); - - // End cap (semicircle around last point). - let last = line[line.len() - 1]; - let cap_segments = segments / 2; - let end_dir = direction(line[line.len() - 2], last); - for i in 0..=cap_segments { - let angle = end_dir - std::f64::consts::FRAC_PI_2 - + std::f64::consts::PI * (i as f64) / (cap_segments as f64); - let (dlng, dlat) = metre_deltas(meters, last[1], space); - ring.push([last[0] + dlng * angle.cos(), last[1] + dlat * angle.sin()]); - } - - // Right side backward. - for pt in right_side.iter().rev() { - ring.push(*pt); - } - - // Start cap (semicircle around first point). - let first = line[0]; - let start_dir = direction(first, line[1]); - for i in 0..=cap_segments { - let angle = start_dir - + std::f64::consts::FRAC_PI_2 - + std::f64::consts::PI * (i as f64) / (cap_segments as f64); - let (dlng, dlat) = metre_deltas(meters, first[1], space); - ring.push([first[0] + dlng * angle.cos(), first[1] + dlat * angle.sin()]); - } - - // Close. - if let Some(&first_pt) = ring.first() { - ring.push(first_pt); - } - - Geometry::Polygon { - coordinates: vec![ring], - } -} - -/// Buffer a polygon by offsetting each vertex outward. -fn buffer_polygon(rings: &[Vec<[f64; 2]>], meters: f64, space: BboxSpace) -> Geometry { - let mut new_rings = Vec::with_capacity(rings.len()); - - for (ring_idx, ring) in rings.iter().enumerate() { - if ring.len() < 3 { - new_rings.push(ring.clone()); - continue; - } - let is_exterior = ring_idx == 0; - // For exterior: expand outward. For holes: shrink inward. - let sign = if is_exterior { 1.0 } else { -1.0 }; - let offset_m = meters * sign; - - let mut new_ring = Vec::with_capacity(ring.len()); - let n = if ring.first() == ring.last() { - ring.len() - 1 - } else { - ring.len() - }; - - for i in 0..n { - let prev = ring[(i + n - 1) % n]; - let curr = ring[i]; - let next = ring[(i + 1) % n]; - - // Bisector direction (average of the two edge normals). - let n1 = edge_outward_normal(prev, curr); - let n2 = edge_outward_normal(curr, next); - let bisect = [(n1[0] + n2[0]) / 2.0, (n1[1] + n2[1]) / 2.0]; - let len = (bisect[0] * bisect[0] + bisect[1] * bisect[1]) - .sqrt() - .max(MIN_VECTOR_LEN); - let unit = [bisect[0] / len, bisect[1] / len]; - - let (dlng, dlat) = metre_deltas(offset_m, curr[1], space); - - new_ring.push([curr[0] + unit[0] * dlng, curr[1] + unit[1] * dlat]); - } - - // Close. - if let Some(&first_pt) = new_ring.first() { - new_ring.push(first_pt); - } - new_rings.push(new_ring); - } - - Geometry::Polygon { - coordinates: new_rings, - } -} - -/// Compute offset segments (left and right parallel lines at `meters` distance). -/// A pair of offset segments: (left_segment, right_segment). -type OffsetPair = (([f64; 2], [f64; 2]), ([f64; 2], [f64; 2])); - -fn offset_segment(a: [f64; 2], b: [f64; 2], meters: f64, space: BboxSpace) -> OffsetPair { - let normal = edge_outward_normal(a, b); - let (dlng, dlat) = metre_deltas(meters, (a[1] + b[1]) / 2.0, space); - - let left = ( - [a[0] + normal[0] * dlng, a[1] + normal[1] * dlat], - [b[0] + normal[0] * dlng, b[1] + normal[1] * dlat], - ); - let right = ( - [a[0] - normal[0] * dlng, a[1] - normal[1] * dlat], - [b[0] - normal[0] * dlng, b[1] - normal[1] * dlat], - ); - (left, right) -} - -/// Outward-pointing unit normal for an edge (a→b). -/// -/// For CCW rings (standard exterior), the outward direction is the right -/// normal (dy, -dx). This is correct because CCW traversal has the -/// interior on the left. -fn edge_outward_normal(a: [f64; 2], b: [f64; 2]) -> [f64; 2] { - let dx = b[0] - a[0]; - let dy = b[1] - a[1]; - let len = (dx * dx + dy * dy).sqrt().max(MIN_VECTOR_LEN); - // Right normal: (dy, -dx) normalized — outward for CCW rings. - [dy / len, -dx / len] -} - -/// Direction angle (radians) from a to b. -fn direction(a: [f64; 2], b: [f64; 2]) -> f64 { - (b[1] - a[1]).atan2(b[0] - a[0]) -} - -/// Convert a BoundingBox to a Polygon. -fn bbox_to_polygon(bb: &BoundingBox) -> Geometry { - Geometry::Polygon { - coordinates: vec![vec![ - [bb.min_lng, bb.min_lat], - [bb.max_lng, bb.min_lat], - [bb.max_lng, bb.max_lat], - [bb.min_lng, bb.max_lat], - [bb.min_lng, bb.min_lat], - ]], - } -} - #[cfg(test)] mod tests { use super::*; - use nodedb_types::geometry_bbox; #[test] - fn planar_buffer_point_is_a_metre_circle() { - let circle = st_buffer_in( - &Geometry::point(500_000.0, 100_000.0), - 250.0, - 16, - BboxSpace::Planar, + fn polygon_envelope_is_its_box() { + let poly = Geometry::polygon(vec![vec![[1.0, 2.0], [5.0, 3.0], [3.0, 8.0], [1.0, 2.0]]]); + assert_eq!( + st_envelope(&poly), + Geometry::polygon(vec![vec![ + [1.0, 2.0], + [5.0, 2.0], + [5.0, 8.0], + [1.0, 8.0], + [1.0, 2.0] + ]]) ); - let Geometry::Polygon { coordinates } = &circle else { - panic!("expected Polygon"); - }; - for pt in &coordinates[0][..16] { - let d = (pt[0] - 500_000.0).hypot(pt[1] - 100_000.0); - assert!((d - 250.0).abs() < 1e-6, "d={d}"); - } - } - - #[test] - fn buffer_point_circle() { - let circle = st_buffer(&Geometry::point(0.0, 0.0), 1000.0, 32); - if let Geometry::Polygon { coordinates } = &circle { - assert_eq!(coordinates.len(), 1); - // 32 segments + 1 closing point. - assert_eq!(coordinates[0].len(), 33); - // All points should be roughly 1000m from center. - for pt in &coordinates[0][..32] { - let d = nodedb_types::geometry::haversine_distance(0.0, 0.0, pt[0], pt[1]); - assert!((d - 1000.0).abs() < 50.0, "d={d}"); - } - } else { - panic!("expected Polygon"); - } } #[test] - fn buffer_point_4_segments() { - let circle = st_buffer(&Geometry::point(10.0, 50.0), 500.0, 4); - if let Geometry::Polygon { coordinates } = &circle { - assert_eq!(coordinates[0].len(), 5); // 4 + close - } else { - panic!("expected Polygon"); - } - } - - #[test] - fn envelope_polygon() { - let poly = Geometry::polygon(vec![vec![[1.0, 2.0], [5.0, 2.0], [3.0, 8.0], [1.0, 2.0]]]); - let env = st_envelope(&poly); - if let Geometry::Polygon { coordinates } = &env { - let ring = &coordinates[0]; - assert_eq!(ring[0], [1.0, 2.0]); // min_lng, min_lat - assert_eq!(ring[2], [5.0, 8.0]); // max_lng, max_lat - } else { - panic!("expected Polygon"); - } - } - - #[test] - fn envelope_point() { - let env = st_envelope(&Geometry::point(5.0, 10.0)); - if let Geometry::Polygon { coordinates } = &env { - // Zero-area bbox → degenerate polygon. - assert_eq!(coordinates[0][0], [5.0, 10.0]); - assert_eq!(coordinates[0][2], [5.0, 10.0]); - } else { - panic!("expected Polygon"); - } - } - - #[test] - fn union_points() { - let a = Geometry::point(1.0, 2.0); - let b = Geometry::point(3.0, 4.0); - let u = st_union(&a, &b); - if let Geometry::MultiPoint { coordinates } = &u { - assert_eq!(coordinates.len(), 2); - } else { - panic!("expected MultiPoint, got {:?}", u.geometry_type()); - } - } - - #[test] - fn union_polygons() { - let a = Geometry::polygon(vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]]); - let b = Geometry::polygon(vec![vec![[2.0, 2.0], [3.0, 2.0], [3.0, 3.0], [2.0, 2.0]]]); - let u = st_union(&a, &b); - if let Geometry::MultiPolygon { coordinates } = &u { - assert_eq!(coordinates.len(), 2); - } else { - panic!("expected MultiPolygon"); - } - } - - #[test] - fn union_mixed_types() { - let a = Geometry::point(1.0, 2.0); - let b = Geometry::polygon(vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]]); - let u = st_union(&a, &b); - if let Geometry::GeometryCollection { geometries } = &u { - assert_eq!(geometries.len(), 2); - } else { - panic!("expected GeometryCollection"); - } - } - - #[test] - fn buffer_linestring_corridor() { - let line = Geometry::line_string(vec![[0.0, 0.0], [0.1, 0.0]]); - let buf = st_buffer(&line, 1000.0, 16); - if let Geometry::Polygon { coordinates } = &buf { - assert!(!coordinates[0].is_empty()); - // Should have more points than a simple rectangle due to end caps. - assert!(coordinates[0].len() > 10); - } else { - panic!("expected Polygon"); - } - } - - #[test] - fn buffer_polygon_expands() { - let poly = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [1.0, 0.0], - [1.0, 1.0], - [0.0, 1.0], - [0.0, 0.0], - ]]); - let buf = st_buffer(&poly, 1000.0, 32); - if let Geometry::Polygon { .. } = &buf { - let orig_bb = geometry_bbox(&poly); - let buf_bb = geometry_bbox(&buf); - // Buffered should be larger. - assert!(buf_bb.min_lng < orig_bb.min_lng); - assert!(buf_bb.max_lng > orig_bb.max_lng); - assert!(buf_bb.min_lat < orig_bb.min_lat); - assert!(buf_bb.max_lat > orig_bb.max_lat); - } else { - panic!("expected Polygon"); - } + fn degenerate_envelopes_drop_dimension() { + assert_eq!( + st_envelope(&Geometry::point(5.0, 10.0)), + Geometry::point(5.0, 10.0) + ); + let flat = Geometry::line_string(vec![[0.0, 1.0], [4.0, 1.0]]); + assert_eq!( + st_envelope(&flat), + Geometry::line_string(vec![[0.0, 1.0], [4.0, 1.0]]) + ); + assert!(st_envelope(&Geometry::empty_point()).is_empty()); } } diff --git a/nodedb-spatial/src/ops/boolean.rs b/nodedb-spatial/src/ops/boolean.rs new file mode 100644 index 000000000..cdd13e6cc --- /dev/null +++ b/nodedb-spatial/src/ops/boolean.rs @@ -0,0 +1,436 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_Union`, `ST_Intersection`, `ST_Difference`, `ST_SymDifference`. +//! +//! Each operand splits into its areal, linear and punctual parts. Areal +//! parts go through `geo::BooleanOps` (exact for concave and multi +//! polygons, holes kept, overlapping members dissolved). Lines are clipped +//! by the other side's polygons. Points are kept or dropped by containment. +//! Rings are oriented by the right-hand rule and filled non-zero, so a +//! member drawn clockwise and two overlapping members both behave. +//! +//! Contacts between polygons of lower dimension than the operation (two +//! polygons sharing only an edge or a corner under `ST_Intersection`) +//! produce no output part. + +use geo::algorithm::bool_ops::FillRule; +use geo::{BooleanOps, LineString, MultiLineString, MultiPolygon}; +use nodedb_types::geometry::{Geometry, GeometryKind}; + +use super::convert::{multipolygon, polygon, simplest}; +use super::noding::{Meet, meet}; +use crate::orient::orient_rings; +use crate::parts::polygon_covers; +use crate::predicates::edge::point_on_segment; + +/// One operand split by dimension. +#[derive(Default)] +struct Split { + polygons: Vec>>, + lines: Vec>, + points: Vec<[f64; 2]>, +} + +impl Split { + fn of(geom: &Geometry) -> Self { + let mut oriented = geom.clone(); + orient_rings(&mut oriented); + let mut split = Split::default(); + split.add(&oriented); + split + } + + fn add(&mut self, geom: &Geometry) { + match geom { + Geometry::Point { .. } if geom.is_empty() => {} + Geometry::Point { coordinates } => self.points.push(*coordinates), + Geometry::MultiPoint { coordinates } => self.points.extend_from_slice(coordinates), + Geometry::LineString { coordinates } if coordinates.len() >= 2 => { + self.lines.push(coordinates.clone()); + } + Geometry::LineString { .. } => {} + Geometry::MultiLineString { coordinates } => self + .lines + .extend(coordinates.iter().filter(|l| l.len() >= 2).cloned()), + Geometry::Polygon { coordinates } if !coordinates.is_empty() => { + self.polygons.push(coordinates.clone()); + } + Geometry::Polygon { .. } => {} + Geometry::MultiPolygon { coordinates } => self + .polygons + .extend(coordinates.iter().filter(|p| !p.is_empty()).cloned()), + Geometry::GeometryCollection { geometries } => { + geometries.iter().for_each(|g| self.add(g)); + } + } + } + + fn areal(&self) -> MultiPolygon { + MultiPolygon::new(self.polygons.iter().map(|p| polygon(p)).collect()) + } + + fn linear(&self) -> MultiLineString { + MultiLineString::new( + self.lines + .iter() + .map(|l| { + LineString::new(l.iter().map(|c| geo::Coord { x: c[0], y: c[1] }).collect()) + }) + .collect(), + ) + } + + /// Whether `pt` lies in or on any part. + fn covers(&self, pt: [f64; 2]) -> bool { + self.polygons.iter().any(|p| polygon_covers(p, pt)) + || self + .lines + .iter() + .any(|l| l.windows(2).any(|w| point_on_segment(pt, w[0], w[1]))) + || self.points.contains(&pt) + } + + /// The lowest dimension present, for the kind of an EMPTY result. + fn kind(&self) -> GeometryKind { + if !self.points.is_empty() { + GeometryKind::Point + } else if !self.lines.is_empty() { + GeometryKind::LineString + } else if !self.polygons.is_empty() { + GeometryKind::Polygon + } else { + GeometryKind::GeometryCollection + } + } +} + +fn op(a: &MultiPolygon, b: &MultiPolygon, kind: geo::OpType) -> MultiPolygon { + a.boolean_op_with_fill_rule(b, kind, FillRule::NonZero) +} + +/// Lines of `lines` inside (`invert` false) or outside (`invert` true) the +/// polygons of `by`. No polygons: everything is outside. +fn clip( + lines: &MultiLineString, + by: &MultiPolygon, + invert: bool, +) -> MultiLineString { + if lines.0.is_empty() { + return MultiLineString::new(Vec::new()); + } + if by.0.is_empty() { + return if invert { + lines.clone() + } else { + MultiLineString::new(Vec::new()) + }; + } + by.clip_with_fill_rule(lines, invert, FillRule::NonZero) +} + +fn from_lines(lines: &MultiLineString) -> Vec> { + lines + .0 + .iter() + .map(|l| l.0.iter().map(|c| [c.x, c.y]).collect::>()) + .filter(|l: &Vec<[f64; 2]>| l.len() >= 2) + .collect() +} + +/// Build the result from its parts. No parts gives EMPTY of `empty`. +fn assemble( + polygons: &MultiPolygon, + lines: Vec>, + mut points: Vec<[f64; 2]>, + empty: GeometryKind, +) -> Geometry { + let mut parts = Vec::new(); + let areal = multipolygon(polygons); + if !areal.is_empty() { + parts.push(simplest(areal)); + } + if !lines.is_empty() { + parts.push(simplest(Geometry::MultiLineString { coordinates: lines })); + } + points.sort_by(|a, b| a[0].total_cmp(&b[0]).then(a[1].total_cmp(&b[1]))); + points.dedup(); + if !points.is_empty() { + parts.push(simplest(Geometry::MultiPoint { + coordinates: points, + })); + } + match parts.len() { + 0 => Geometry::empty(empty), + 1 => parts.remove(0), + _ => Geometry::GeometryCollection { geometries: parts }, + } +} + +/// `ST_Union(a, b)`: the point set of both, polygons dissolved. +pub fn union(a: &Geometry, b: &Geometry) -> Geometry { + let (sa, sb) = (Split::of(a), Split::of(b)); + let polygons = op(&sa.areal(), &sb.areal(), geo::OpType::Union); + let mut all_lines = sa.linear(); + all_lines.0.extend(sb.linear().0); + let lines = from_lines(&clip(&all_lines, &polygons, true)); + let line_parts = Split { + lines: lines.clone(), + ..Split::default() + }; + let areal_parts = Split { + polygons: multipolygon_rings(&polygons), + ..Split::default() + }; + let points = sa + .points + .iter() + .chain(&sb.points) + .copied() + .filter(|p| !areal_parts.covers(*p) && !line_parts.covers(*p)) + .collect(); + assemble(&polygons, lines, points, GeometryKind::GeometryCollection) +} + +/// `ST_Intersection(a, b)`: the point set the two share. +pub fn intersection(a: &Geometry, b: &Geometry) -> Geometry { + let (sa, sb) = (Split::of(a), Split::of(b)); + let (pa, pb) = (sa.areal(), sb.areal()); + let polygons = if pa.0.is_empty() || pb.0.is_empty() { + MultiPolygon::new(Vec::new()) + } else { + op(&pa, &pb, geo::OpType::Intersection) + }; + let mut lines = from_lines(&clip(&sa.linear(), &pb, false)); + lines.extend(from_lines(&clip(&sb.linear(), &pa, false))); + let mut points: Vec<[f64; 2]> = sa + .points + .iter() + .copied() + .filter(|p| sb.covers(*p)) + .collect(); + points.extend(sb.points.iter().copied().filter(|p| sa.covers(*p))); + for la in &sa.lines { + for lb in &sb.lines { + line_contacts(la, lb, &mut lines, &mut points); + } + } + let empty = match (sa.kind(), sb.kind()) { + (GeometryKind::GeometryCollection, _) | (_, GeometryKind::GeometryCollection) => { + GeometryKind::GeometryCollection + } + (x, y) => lower(x, y), + }; + assemble(&polygons, lines, points, empty) +} + +/// `ST_Difference(a, b)`: the part of `a` outside `b`. Lower-dimensional +/// parts of `b` remove nothing from the polygons of `a`. +pub fn difference(a: &Geometry, b: &Geometry) -> Geometry { + let (sa, sb) = (Split::of(a), Split::of(b)); + let pb = sb.areal(); + let polygons = op(&sa.areal(), &pb, geo::OpType::Difference); + let lines = from_lines(&clip(&sa.linear(), &pb, true)); + let points = sa + .points + .iter() + .copied() + .filter(|p| !sb.covers(*p)) + .collect(); + assemble(&polygons, lines, points, a.kind()) +} + +/// `ST_SymDifference(a, b)`: the parts of each outside the other. +pub fn sym_difference(a: &Geometry, b: &Geometry) -> Geometry { + let (sa, sb) = (Split::of(a), Split::of(b)); + let (pa, pb) = (sa.areal(), sb.areal()); + let polygons = op(&pa, &pb, geo::OpType::Xor); + let mut lines = from_lines(&clip(&sa.linear(), &pb, true)); + lines.extend(from_lines(&clip(&sb.linear(), &pa, true))); + let mut points: Vec<[f64; 2]> = sa + .points + .iter() + .copied() + .filter(|p| !sb.covers(*p)) + .collect(); + points.extend(sb.points.iter().copied().filter(|p| !sa.covers(*p))); + assemble(&polygons, lines, points, GeometryKind::GeometryCollection) +} + +fn lower(a: GeometryKind, b: GeometryKind) -> GeometryKind { + let rank = |k: GeometryKind| match k { + GeometryKind::Point | GeometryKind::MultiPoint => 0, + GeometryKind::LineString | GeometryKind::MultiLineString => 1, + GeometryKind::Polygon | GeometryKind::MultiPolygon => 2, + GeometryKind::GeometryCollection => 3, + }; + if rank(a) <= rank(b) { a } else { b } +} + +fn multipolygon_rings(mp: &MultiPolygon) -> Vec>> { + mp.0.iter() + .map(super::convert::rings) + .filter(|r| !r.is_empty()) + .collect() +} + +/// Crossing points and shared stretches of two lines. +fn line_contacts( + a: &[[f64; 2]], + b: &[[f64; 2]], + lines: &mut Vec>, + points: &mut Vec<[f64; 2]>, +) { + for wa in a.windows(2) { + for wb in b.windows(2) { + match meet(wa[0], wa[1], wb[0], wb[1]) { + Meet::Disjoint => {} + Meet::Point(p) => points.push(p), + Meet::Overlap(s, e) => lines.push(vec![s, e]), + } + } + } + // A crossing point on a shared stretch is already in the stretch. + points.retain(|p| { + !lines + .iter() + .any(|l| l.windows(2).any(|w| point_on_segment(*p, w[0], w[1]))) + }); +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::planar::planar_area; + + fn square(x0: f64, y0: f64, side: f64) -> Geometry { + Geometry::polygon(vec![vec![ + [x0, y0], + [x0 + side, y0], + [x0 + side, y0 + side], + [x0, y0 + side], + [x0, y0], + ]]) + } + + /// A "U": the 3×3 square minus the 1×2 notch at the top middle. + fn u_shape() -> Geometry { + Geometry::polygon(vec![vec![ + [0.0, 0.0], + [3.0, 0.0], + [3.0, 3.0], + [2.0, 3.0], + [2.0, 1.0], + [1.0, 1.0], + [1.0, 3.0], + [0.0, 3.0], + [0.0, 0.0], + ]]) + } + + /// Areas computed with shapely 2.2.0 (GEOS) on the same inputs. + #[test] + fn concave_clip_matches_shapely() { + // shapely: box(0.5,1.5,2.5,2.5).intersection(U).area == 1.0 + let bar = Geometry::polygon(vec![vec![ + [0.5, 1.5], + [2.5, 1.5], + [2.5, 2.5], + [0.5, 2.5], + [0.5, 1.5], + ]]); + let i = intersection(&u_shape(), &bar); + assert!((planar_area(&i) - 1.0).abs() < 1e-9, "{i:?}"); + assert!(matches!(i, Geometry::MultiPolygon { ref coordinates } if coordinates.len() == 2)); + // Sutherland–Hodgman with the U as clip polygon gets this wrong. + let reversed = intersection(&bar, &u_shape()); + assert!((planar_area(&reversed) - 1.0).abs() < 1e-9); + } + + #[test] + fn union_dissolves_overlap() { + // shapely: box(0,0,2,2).union(box(1,1,3,3)).area == 7.0 + let u = union(&square(0.0, 0.0, 2.0), &square(1.0, 1.0, 2.0)); + assert!(matches!(u, Geometry::Polygon { .. }), "{u:?}"); + assert!((planar_area(&u) - 7.0).abs() < 1e-9); + } + + #[test] + fn difference_and_sym_difference() { + let (a, b) = (square(0.0, 0.0, 2.0), square(1.0, 1.0, 2.0)); + // shapely: a.difference(b).area == 3.0, a.symmetric_difference(b).area == 6.0 + assert!((planar_area(&difference(&a, &b)) - 3.0).abs() < 1e-9); + assert!((planar_area(&sym_difference(&a, &b)) - 6.0).abs() < 1e-9); + } + + #[test] + fn multipolygon_with_hole_intersection() { + let holed = Geometry::polygon(vec![ + vec![[0.0, 0.0], [4.0, 0.0], [4.0, 4.0], [0.0, 4.0], [0.0, 0.0]], + vec![[1.0, 1.0], [1.0, 3.0], [3.0, 3.0], [3.0, 1.0], [1.0, 1.0]], + ]); + let multi = Geometry::MultiPolygon { + coordinates: vec![ + vec![vec![ + [-1.0, -1.0], + [2.0, -1.0], + [2.0, 2.0], + [-1.0, 2.0], + [-1.0, -1.0], + ]], + vec![vec![ + [3.5, 3.5], + [5.0, 3.5], + [5.0, 5.0], + [3.5, 5.0], + [3.5, 3.5], + ]], + ], + }; + // shapely: holed.intersection(multi).area == 3.25 + let i = intersection(&holed, &multi); + assert!((planar_area(&i) - 3.25).abs() < 1e-9, "{i:?}"); + } + + #[test] + fn disjoint_polygons_intersect_to_empty_polygon() { + let i = intersection(&square(0.0, 0.0, 1.0), &square(5.0, 5.0, 1.0)); + assert!(i.is_empty()); + assert_eq!(i.kind(), GeometryKind::Polygon); + } + + #[test] + fn line_is_clipped_by_polygon() { + let line = Geometry::line_string(vec![[-1.0, 0.5], [3.0, 0.5]]); + let i = intersection(&line, &square(0.0, 0.0, 2.0)); + let Geometry::LineString { coordinates } = &i else { + panic!("{i:?}"); + }; + assert_eq!(coordinates.len(), 2); + let d = difference(&line, &square(0.0, 0.0, 2.0)); + assert!( + matches!(d, Geometry::MultiLineString { ref coordinates } if coordinates.len() == 2) + ); + } + + #[test] + fn crossing_lines_intersect_at_a_point() { + let a = Geometry::line_string(vec![[0.0, 0.0], [2.0, 2.0]]); + let b = Geometry::line_string(vec![[0.0, 2.0], [2.0, 0.0]]); + assert_eq!(intersection(&a, &b), Geometry::point(1.0, 1.0)); + } + + #[test] + fn points_inside_survive_intersection() { + let pts = Geometry::MultiPoint { + coordinates: vec![[0.5, 0.5], [5.0, 5.0]], + }; + assert_eq!( + intersection(&pts, &square(0.0, 0.0, 1.0)), + Geometry::point(0.5, 0.5) + ); + assert_eq!( + difference(&pts, &square(0.0, 0.0, 1.0)), + Geometry::point(5.0, 5.0) + ); + } +} diff --git a/nodedb-spatial/src/ops/buffer.rs b/nodedb-spatial/src/ops/buffer.rs new file mode 100644 index 000000000..c325a14df --- /dev/null +++ b/nodedb-spatial/src/ops/buffer.rs @@ -0,0 +1,365 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_Buffer` for every geometry kind, by a distance in metres. +//! +//! A projected geometry buffers in its grid, the distance converted to the +//! CRS unit. A geographic geometry buffers in a local projection on its own +//! ellipsoid, then maps back to degrees: +//! +//! - an extent of at most 12° of longitude, away from the poles: Transverse +//! Mercator centred on the extent (scale 1 on the central meridian, error +//! under 0.6 % at its edge); +//! - an extent reaching past 80° latitude: polar Lambert azimuthal +//! equal-area; +//! - any other extent: each component buffers in its own local projection +//! and the pieces union in degrees. +//! +//! Curves use round joins and caps with `segments` sides per full circle. + +use geo::algorithm::buffer::{BufferStyle, LineCap, LineJoin}; +use geo::{Buffer, MultiPolygon}; +use nodedb_crs::method::{LaeaParams, ProjectionDef, Projector, TmParams}; +use nodedb_crs::{CrsDef, CrsError, CrsKind, DomainReason, Srid}; +use nodedb_types::geometry::{Geometry, GeometryKind}; + +use super::convert::{from_geo, multipolygon, simplest, to_geo}; +use crate::error::SpatialError; + +/// Widest longitude extent, degrees, buffered in one Transverse Mercator. +const MAX_TM_SPAN_DEG: f64 = 12.0; + +/// Latitude, degrees, past which the polar projection is used. +const POLAR_LAT_DEG: f64 = 80.0; + +/// Metres per degree of latitude, rounded down, to widen an extent by the +/// buffer distance. +const METRES_PER_DEGREE_MIN: f64 = 110_000.0; + +/// Buffer `geom` (coordinates in `def`) by `metres`. A negative distance +/// shrinks polygons and erases points and lines. An EMPTY input or result +/// is `POLYGON EMPTY`. +pub fn buffer( + geom: &Geometry, + metres: f64, + segments: usize, + def: &CrsDef, +) -> Result { + if geom.is_empty() { + return Ok(Geometry::empty(GeometryKind::Polygon)); + } + let style = || { + let angle = std::f64::consts::TAU / segments.max(3) as f64; + move |distance: f64| { + BufferStyle::new(distance) + .line_join(LineJoin::Round(angle)) + .line_cap(LineCap::Round(angle)) + } + }; + let out = match def.kind { + CrsKind::Projected => { + let units = metres / def.unit.metres_per_unit; + to_geo(geom).buffer_with_style(style()(units)) + } + CrsKind::Geographic => geographic(geom, metres, def, &style())?, + }; + Ok(finish(&out)) +} + +fn finish(out: &MultiPolygon) -> Geometry { + let g = multipolygon(out); + if g.is_empty() { + Geometry::empty(GeometryKind::Polygon) + } else { + simplest(g) + } +} + +fn geographic( + geom: &Geometry, + metres: f64, + def: &CrsDef, + style: &dyn Fn(f64) -> BufferStyle, +) -> Result, SpatialError> { + let extent = Extent::of(geom, metres); + if let Some(local) = Local::choose(&extent, def) { + return local.buffer(geom, metres, style); + } + let mut pieces: Vec> = Vec::new(); + for component in components(geom) { + let extent = Extent::of(&component, metres); + let local = Local::choose(&extent, def).unwrap_or_else(|| Local::laea(&extent, def)); + pieces.extend(local.buffer(&component, metres, style)?.0); + } + Ok(geo::unary_union(&pieces)) +} + +/// Every point, line and polygon of a geometry. +fn components(geom: &Geometry) -> Vec { + match geom { + Geometry::MultiPoint { coordinates } => coordinates + .iter() + .map(|c| Geometry::point(c[0], c[1])) + .collect(), + Geometry::MultiLineString { coordinates } => coordinates + .iter() + .map(|l| Geometry::line_string(l.clone())) + .collect(), + Geometry::MultiPolygon { coordinates } => coordinates + .iter() + .map(|p| Geometry::polygon(p.clone())) + .collect(), + Geometry::GeometryCollection { geometries } => { + geometries.iter().flat_map(components).collect() + } + other if other.is_empty() => Vec::new(), + other => vec![other.clone()], + } +} + +/// Longitude extent unwrapped around the first vertex, and latitude +/// extent, both widened by the buffer distance. +struct Extent { + min_lon: f64, + max_lon: f64, + min_lat: f64, + max_lat: f64, +} + +impl Extent { + fn of(geom: &Geometry, metres: f64) -> Self { + let mut coords = geom.coords(); + let first = coords.next().unwrap_or([0.0, 0.0]); + let mut e = Extent { + min_lon: first[0], + max_lon: first[0], + min_lat: first[1], + max_lat: first[1], + }; + for [lon, lat] in coords { + let lon = unwrap(lon, first[0]); + e.min_lon = e.min_lon.min(lon); + e.max_lon = e.max_lon.max(lon); + e.min_lat = e.min_lat.min(lat); + e.max_lat = e.max_lat.max(lat); + } + let pad = metres.abs() / METRES_PER_DEGREE_MIN; + e.min_lat = (e.min_lat - pad).max(-90.0); + e.max_lat = (e.max_lat + pad).min(90.0); + let poleward = e.min_lat.abs().max(e.max_lat.abs()).min(89.0); + let lon_pad = pad / poleward.to_radians().cos(); + e.min_lon -= lon_pad; + e.max_lon += lon_pad; + e + } + + fn centre(&self) -> [f64; 2] { + [ + (self.min_lon + self.max_lon) / 2.0, + (self.min_lat + self.max_lat) / 2.0, + ] + } +} + +/// `lon` moved by whole turns into `reference ± 180°`. +fn unwrap(lon: f64, reference: f64) -> f64 { + lon - 360.0 * ((lon - reference) / 360.0).round() +} + +/// A local projection on the CRS ellipsoid. +struct Local { + projector: Projector, + /// Longitude output is unwrapped around this, so a buffer across the + /// antimeridian stays one continuous ring. + centre_lon: f64, + srid: Srid, +} + +impl Local { + /// The projection for `extent`, or `None` when it is too wide for one. + fn choose(extent: &Extent, def: &CrsDef) -> Option { + if extent.max_lat > POLAR_LAT_DEG || extent.min_lat < -POLAR_LAT_DEG { + let pole = if extent.max_lat > POLAR_LAT_DEG { + 90.0 + } else { + -90.0 + }; + let both = extent.max_lat > POLAR_LAT_DEG && extent.min_lat < -POLAR_LAT_DEG; + return (!both).then(|| Self::polar(pole, extent, def)); + } + if extent.max_lon - extent.min_lon > MAX_TM_SPAN_DEG { + return None; + } + let [lon0, _] = extent.centre(); + let params = TmParams { + lat0_deg: 0.0, + lon0_deg: normalize(lon0), + k0: 1.0, + false_easting: 0.0, + false_northing: 0.0, + }; + Some(Self::new( + ProjectionDef::TransverseMercator(params), + lon0, + def, + )) + } + + fn polar(lat0: f64, extent: &Extent, def: &CrsDef) -> Self { + let [lon0, _] = extent.centre(); + let params = LaeaParams { + lat0_deg: lat0, + lon0_deg: normalize(lon0), + false_easting: 0.0, + false_northing: 0.0, + }; + Self::new(ProjectionDef::LambertAzimuthalEqualArea(params), lon0, def) + } + + /// Lambert azimuthal equal-area centred on `extent`, for a component + /// too wide for Transverse Mercator. + fn laea(extent: &Extent, def: &CrsDef) -> Self { + let [lon0, lat0] = extent.centre(); + let params = LaeaParams { + lat0_deg: lat0, + lon0_deg: normalize(lon0), + false_easting: 0.0, + false_northing: 0.0, + }; + Self::new(ProjectionDef::LambertAzimuthalEqualArea(params), lon0, def) + } + + fn new(projection: ProjectionDef, centre_lon: f64, def: &CrsDef) -> Self { + Self { + projector: projection.prepare(&def.datum.ellipsoid), + centre_lon, + srid: def.srid, + } + } + + fn buffer( + &self, + geom: &Geometry, + metres: f64, + style: &dyn Fn(f64) -> BufferStyle, + ) -> Result, SpatialError> { + let projected = geom.try_map_coords(&mut |[x, y]| { + self.projector + .forward(x.to_radians(), y.to_radians()) + .map(|(e, n)| [e, n]) + .map_err(|reason| self.fault(x, y, reason)) + })?; + let buffered = from_geo(&geo::Geometry::MultiPolygon( + to_geo(&projected).buffer_with_style(style(metres)), + )); + let back = buffered.try_map_coords(&mut |[e, n]| { + self.projector + .inverse(e, n) + .map(|(lam, phi)| [unwrap(lam.to_degrees(), self.centre_lon), phi.to_degrees()]) + .map_err(|reason| self.fault(e, n, reason)) + })?; + let Geometry::MultiPolygon { coordinates } = back else { + return Ok(MultiPolygon::new(Vec::new())); + }; + Ok(MultiPolygon::new( + coordinates + .iter() + .map(|p| super::convert::polygon(p)) + .collect(), + )) + } + + fn fault(&self, x: f64, y: f64, reason: DomainReason) -> SpatialError { + SpatialError::Crs(CrsError::OutOfDomain { + srid: self.srid, + x, + y, + reason, + }) + } +} + +/// Longitude in [−180°, 180°). +fn normalize(lon: f64) -> f64 { + (lon + 180.0).rem_euclid(360.0) - 180.0 +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::metric::Metric; + use nodedb_crs::CrsContext; + + fn def(code: u32) -> std::sync::Arc { + CrsContext::builtin_only() + .resolve(Srid::new(code).unwrap()) + .unwrap() + } + + /// A geographic point buffer is a geodesic circle: every vertex lies + /// the buffer distance from the centre, measured on the ellipsoid. A + /// 64-gon vertex sits at most 0.13 % off the circle. + #[test] + fn geographic_point_buffer_is_a_geodesic_circle() { + let wgs84 = def(4326); + let out = buffer(&Geometry::point(101.7, 3.1), 1_000.0, 64, &wgs84).unwrap(); + let Geometry::Polygon { coordinates } = &out else { + panic!("{out:?}"); + }; + let m = Metric::wgs84(); + for c in &coordinates[0] { + let d = m.segment_length([101.7, 3.1], *c); + assert!((d - 1_000.0).abs() < 2.0, "{d}"); + } + } + + #[test] + fn multi_geometries_buffer_every_member() { + let wgs84 = def(4326); + let far = Geometry::MultiPoint { + coordinates: vec![[0.0, 0.0], [100.0, 10.0]], + }; + let out = buffer(&far, 500.0, 32, &wgs84).unwrap(); + assert!( + matches!(&out, Geometry::MultiPolygon { coordinates } if coordinates.len() == 2), + "{out:?}" + ); + let collection = Geometry::GeometryCollection { + geometries: vec![ + Geometry::point(0.0, 0.0), + Geometry::line_string(vec![[0.01, 0.0], [0.02, 0.0]]), + ], + }; + assert!(!buffer(&collection, 100.0, 32, &wgs84).unwrap().is_empty()); + } + + #[test] + fn polar_point_buffers_in_a_polar_projection() { + let wgs84 = def(4326); + let out = buffer(&Geometry::point(0.0, 89.9), 1_000.0, 32, &wgs84).unwrap(); + let m = Metric::wgs84(); + let Geometry::Polygon { coordinates } = &out else { + panic!("{out:?}"); + }; + for c in &coordinates[0] { + let d = m.segment_length([0.0, 89.9], *c); + assert!((d - 1_000.0).abs() < 10.0, "{d}"); + } + } + + #[test] + fn projected_buffer_uses_the_crs_unit() { + let feet = def(2263); + let out = buffer(&Geometry::point(1_000_000.0, 200_000.0), 100.0, 64, &feet).unwrap(); + let Geometry::Polygon { coordinates } = &out else { + panic!("{out:?}"); + }; + let r = (coordinates[0][0][0] - 1_000_000.0).hypot(coordinates[0][0][1] - 200_000.0); + assert!((r - 100.0 / (1200.0 / 3937.0)).abs() < 1.0, "{r}"); + } + + #[test] + fn negative_distance_erases_a_point() { + let out = buffer(&Geometry::point(0.0, 0.0), -10.0, 32, &def(4326)).unwrap(); + assert!(out.is_empty()); + } +} diff --git a/nodedb-spatial/src/ops/closest.rs b/nodedb-spatial/src/ops/closest.rs new file mode 100644 index 000000000..77c935aa4 --- /dev/null +++ b/nodedb-spatial/src/ops/closest.rs @@ -0,0 +1,101 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_ClosestPoint(a, b)`: the point of `a` nearest to `b`, planar in the +//! coordinates. Where the two meet, a shared point. + +use nodedb_types::geometry::Geometry; + +use super::noding::{Meet, fraction_along, meet}; +use crate::parts::{Parts, polygon_covers}; +use crate::predicates::edge::point_to_segment_dist_sq; + +/// The point of `a` closest to `b`. `None` when either is EMPTY. +pub fn closest_point(a: &Geometry, b: &Geometry) -> Option<[f64; 2]> { + let pa = Parts::of(a); + let pb = Parts::of(b); + if pa.segments.is_empty() || pb.segments.is_empty() { + return None; + } + if let Some(v) = pb + .vertices + .iter() + .find(|v| pa.polygons.iter().any(|rings| polygon_covers(rings, **v))) + { + return Some(*v); + } + if let Some(v) = pa + .vertices + .iter() + .find(|v| pb.polygons.iter().any(|rings| polygon_covers(rings, **v))) + { + return Some(*v); + } + let mut best: Option<(f64, [f64; 2])> = None; + let mut consider = |d: f64, p: [f64; 2]| { + if best.is_none_or(|(bd, _)| d < bd) { + best = Some((d, p)); + } + }; + for &(a1, a2) in &pa.segments { + for &(b1, b2) in &pb.segments { + match meet(a1, a2, b1, b2) { + Meet::Point(p) | Meet::Overlap(p, _) => return Some(p), + Meet::Disjoint => {} + } + for v in [b1, b2] { + let t = fraction_along(a1, a2, v); + let foot = [a1[0] + (a2[0] - a1[0]) * t, a1[1] + (a2[1] - a1[1]) * t]; + consider(point_to_segment_dist_sq(v, a1, a2), foot); + } + for u in [a1, a2] { + consider(point_to_segment_dist_sq(u, b1, b2), u); + } + } + } + best.map(|(_, p)| p) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn foot_of_the_perpendicular_on_a_line() { + let line = Geometry::line_string(vec![[0.0, 0.0], [10.0, 0.0]]); + assert_eq!( + closest_point(&line, &Geometry::point(3.0, 5.0)), + Some([3.0, 0.0]) + ); + assert_eq!( + closest_point(&Geometry::point(3.0, 5.0), &line), + Some([3.0, 5.0]) + ); + } + + #[test] + fn point_inside_a_polygon_is_its_own_closest() { + let square = Geometry::polygon(vec![vec![ + [0.0, 0.0], + [4.0, 0.0], + [4.0, 4.0], + [0.0, 4.0], + [0.0, 0.0], + ]]); + assert_eq!( + closest_point(&square, &Geometry::point(1.0, 1.0)), + Some([1.0, 1.0]) + ); + assert_eq!( + closest_point(&square, &Geometry::point(6.0, 2.0)), + Some([4.0, 2.0]) + ); + } + + #[test] + fn empty_has_no_closest_point() { + assert_eq!( + closest_point(&Geometry::empty_point(), &Geometry::point(0.0, 0.0)), + None + ); + } +} diff --git a/nodedb-spatial/src/ops/convert.rs b/nodedb-spatial/src/ops/convert.rs new file mode 100644 index 000000000..db01e635f --- /dev/null +++ b/nodedb-spatial/src/ops/convert.rs @@ -0,0 +1,146 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Conversion between NodeDB shapes and `geo` types. +//! +//! `geo` has no EMPTY point, so an EMPTY point converts to an empty +//! `GeometryCollection`. `geo` closes rings on construction. + +use geo::{ + Coord, GeometryCollection, LineString, MultiLineString, MultiPoint, MultiPolygon, Point, + Polygon, +}; +use nodedb_types::geometry::Geometry; + +fn coord(c: [f64; 2]) -> Coord { + Coord { x: c[0], y: c[1] } +} + +fn line(coords: &[[f64; 2]]) -> LineString { + LineString::new(coords.iter().map(|c| coord(*c)).collect()) +} + +pub(crate) fn polygon(rings: &[Vec<[f64; 2]>]) -> Polygon { + let mut iter = rings.iter(); + let exterior = iter + .next() + .map_or_else(|| LineString::new(Vec::new()), |r| line(r)); + Polygon::new(exterior, iter.map(|r| line(r)).collect()) +} + +/// A NodeDB shape as a `geo` geometry. +pub(crate) fn to_geo(geom: &Geometry) -> geo::Geometry { + match geom { + Geometry::Point { .. } if geom.is_empty() => { + geo::Geometry::GeometryCollection(GeometryCollection::new_from(Vec::new())) + } + Geometry::Point { coordinates } => geo::Geometry::Point(Point(coord(*coordinates))), + Geometry::LineString { coordinates } => geo::Geometry::LineString(line(coordinates)), + Geometry::Polygon { coordinates } => geo::Geometry::Polygon(polygon(coordinates)), + Geometry::MultiPoint { coordinates } => geo::Geometry::MultiPoint(MultiPoint::new( + coordinates.iter().map(|c| Point(coord(*c))).collect(), + )), + Geometry::MultiLineString { coordinates } => geo::Geometry::MultiLineString( + MultiLineString::new(coordinates.iter().map(|l| line(l)).collect()), + ), + Geometry::MultiPolygon { coordinates } => geo::Geometry::MultiPolygon(MultiPolygon::new( + coordinates.iter().map(|p| polygon(p)).collect(), + )), + Geometry::GeometryCollection { geometries } => geo::Geometry::GeometryCollection( + GeometryCollection::new_from(geometries.iter().map(to_geo).collect()), + ), + } +} + +fn path(l: &LineString) -> Vec<[f64; 2]> { + l.0.iter().map(|c| [c.x, c.y]).collect() +} + +/// A `geo` polygon as rings. A polygon with an empty exterior is EMPTY. +pub(crate) fn rings(p: &Polygon) -> Vec> { + if p.exterior().0.is_empty() { + return Vec::new(); + } + std::iter::once(path(p.exterior())) + .chain(p.interiors().iter().map(path)) + .collect() +} + +/// A `geo` geometry as a NodeDB shape. +pub(crate) fn from_geo(geom: &geo::Geometry) -> Geometry { + match geom { + geo::Geometry::Point(p) => Geometry::point(p.x(), p.y()), + geo::Geometry::Line(l) => { + Geometry::line_string(vec![[l.start.x, l.start.y], [l.end.x, l.end.y]]) + } + geo::Geometry::LineString(l) => Geometry::line_string(path(l)), + geo::Geometry::Polygon(p) => Geometry::polygon(rings(p)), + geo::Geometry::MultiPoint(mp) => Geometry::MultiPoint { + coordinates: mp.0.iter().map(|p| [p.x(), p.y()]).collect(), + }, + geo::Geometry::MultiLineString(ml) => Geometry::MultiLineString { + coordinates: ml.0.iter().map(path).collect(), + }, + geo::Geometry::MultiPolygon(mp) => multipolygon(mp), + geo::Geometry::GeometryCollection(gc) => Geometry::GeometryCollection { + geometries: gc.0.iter().map(from_geo).collect(), + }, + geo::Geometry::Rect(r) => Geometry::polygon(rings(&r.to_polygon())), + geo::Geometry::Triangle(t) => Geometry::polygon(rings(&t.to_polygon())), + } +} + +/// A `geo` multipolygon as a MultiPolygon shape, empty members dropped. +pub(crate) fn multipolygon(mp: &MultiPolygon) -> Geometry { + Geometry::MultiPolygon { + coordinates: mp.0.iter().map(rings).filter(|r| !r.is_empty()).collect(), + } +} + +/// Collapse a multi with one member to that member, as PostGIS returns a +/// `POLYGON` rather than a one-member `MULTIPOLYGON`. +pub(crate) fn simplest(geom: Geometry) -> Geometry { + match geom { + Geometry::MultiPolygon { mut coordinates } if coordinates.len() == 1 => Geometry::Polygon { + coordinates: coordinates.remove(0), + }, + Geometry::MultiLineString { mut coordinates } if coordinates.len() == 1 => { + Geometry::LineString { + coordinates: coordinates.remove(0), + } + } + Geometry::MultiPoint { coordinates } if coordinates.len() == 1 => Geometry::Point { + coordinates: coordinates[0], + }, + other => other, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn round_trip_keeps_shapes() { + for g in [ + Geometry::point(1.0, 2.0), + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), + Geometry::polygon(vec![ + vec![[0.0, 0.0], [4.0, 0.0], [4.0, 4.0], [0.0, 4.0], [0.0, 0.0]], + vec![[1.0, 1.0], [1.0, 2.0], [2.0, 2.0], [2.0, 1.0], [1.0, 1.0]], + ]), + Geometry::MultiPoint { + coordinates: vec![[1.0, 2.0], [3.0, 4.0]], + }, + ] { + assert_eq!(from_geo(&to_geo(&g)), g); + } + } + + #[test] + fn simplest_unwraps_single_members() { + let mp = Geometry::MultiPolygon { + coordinates: vec![vec![vec![[0.0, 0.0], [1.0, 0.0], [0.0, 1.0], [0.0, 0.0]]]], + }; + assert!(matches!(simplest(mp), Geometry::Polygon { .. })); + } +} diff --git a/nodedb-spatial/src/ops/hull.rs b/nodedb-spatial/src/ops/hull.rs new file mode 100644 index 000000000..86c4c6f27 --- /dev/null +++ b/nodedb-spatial/src/ops/hull.rs @@ -0,0 +1,116 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_ConvexHull` and `ST_ConcaveHull` over every vertex of a geometry. +//! +//! One distinct vertex gives a point, collinear vertices give a line +//! between the extremes, as PostGIS returns them. + +use geo::concave_hull::ConcaveHullOptions; +use geo::{ConcaveHull, ConvexHull, Coord, MultiPoint, Point}; +use nodedb_types::geometry::{Geometry, GeometryKind}; + +use super::convert::rings; +use crate::predicates::edge::{Orientation, orientation}; + +/// The hull algorithm and its parameter. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum Hull { + Convex, + /// `pct_convex` in [0, 1]: 1 is the convex hull, smaller values drill + /// the hull inward. Maps to concaveman concavity `2·p / (1 − p)`. + Concave { + pct_convex: f64, + }, +} + +/// The hull of every vertex of `geom`. EMPTY input gives +/// `GEOMETRYCOLLECTION EMPTY`. +pub fn hull(geom: &Geometry, kind: Hull) -> Geometry { + let mut coords: Vec<[f64; 2]> = geom.coords().collect(); + coords.sort_by(|a, b| a[0].total_cmp(&b[0]).then(a[1].total_cmp(&b[1]))); + coords.dedup(); + match coords.as_slice() { + [] => return Geometry::empty(GeometryKind::GeometryCollection), + [only] => return Geometry::point(only[0], only[1]), + [first, .., last] if all_collinear(&coords) => { + return Geometry::line_string(vec![*first, *last]); + } + _ => {} + } + let points = MultiPoint::new( + coords + .iter() + .map(|c| Point(Coord { x: c[0], y: c[1] })) + .collect(), + ); + let polygon = match kind { + Hull::Convex => points.convex_hull(), + Hull::Concave { pct_convex } if pct_convex >= 1.0 => points.convex_hull(), + Hull::Concave { pct_convex } => { + let p = pct_convex.max(0.0); + points.concave_hull_with_options( + ConcaveHullOptions::default().concavity(2.0 * p / (1.0 - p)), + ) + } + }; + Geometry::polygon(rings(&polygon)) +} + +/// Whether every point lies on the line through the first and last of a +/// sorted, de-duplicated list. +fn all_collinear(sorted: &[[f64; 2]]) -> bool { + let (Some(first), Some(last)) = (sorted.first(), sorted.last()) else { + return true; + }; + sorted + .iter() + .all(|p| orientation(*first, *last, *p) == Orientation::Collinear) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::planar::planar_area; + + fn u_points() -> Geometry { + Geometry::MultiPoint { + coordinates: vec![ + [0.0, 0.0], + [3.0, 0.0], + [3.0, 3.0], + [2.0, 3.0], + [2.0, 1.0], + [1.0, 1.0], + [1.0, 3.0], + [0.0, 3.0], + ], + } + } + + #[test] + fn convex_hull_area() { + assert!((planar_area(&hull(&u_points(), Hull::Convex)) - 9.0).abs() < 1e-9); + } + + #[test] + fn concave_hull_is_inside_the_convex_hull() { + let concave = planar_area(&hull(&u_points(), Hull::Concave { pct_convex: 0.0 })); + assert!(concave <= 9.0 + 1e-9 && concave > 0.0, "{concave}"); + let convex = planar_area(&hull(&u_points(), Hull::Concave { pct_convex: 1.0 })); + assert!((convex - 9.0).abs() < 1e-9); + } + + #[test] + fn degenerate_inputs() { + assert_eq!( + hull(&Geometry::point(1.0, 2.0), Hull::Convex), + Geometry::point(1.0, 2.0) + ); + let line = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0], [2.0, 2.0]]); + assert_eq!( + hull(&line, Hull::Convex), + Geometry::line_string(vec![[0.0, 0.0], [2.0, 2.0]]) + ); + assert!(hull(&Geometry::empty_point(), Hull::Convex).is_empty()); + } +} diff --git a/nodedb-spatial/src/ops/linear.rs b/nodedb-spatial/src/ops/linear.rs new file mode 100644 index 000000000..e90fa21f2 --- /dev/null +++ b/nodedb-spatial/src/ops/linear.rs @@ -0,0 +1,496 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Linear referencing and densification. +//! +//! - `ST_LineInterpolatePoint`: the point at a fraction of a line's length, +//! geodesic on a geographic CRS. +//! - `ST_LocateAlong`, `ST_LocateBetween`: the parts of an M geometry at or +//! between measures, optionally offset sideways. +//! - `ST_InterpolatePoint`: the M of a line at the point nearest a point. +//! - `ST_Segmentize`: no edge longer than a length, geodesic on a geographic +//! CRS. +//! +//! Z and M interpolate linearly along each edge. + +use nodedb_crs::method::geodesic::GeodesicLine; +use nodedb_types::geometry::{Geometry, Position, SridGeometry}; + +use super::noding::fraction_along; +use super::pieces::{Assembler, Piece, lerp, multiline, multipoint, pieces}; +use crate::error::SpatialError; +use crate::metric::Metric; +use crate::predicates::edge::point_to_segment_dist_sq; + +/// Why a linear-referencing call has no answer. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum LinearError { + #[error("{function} takes a LineString, got {kind}")] + NotALine { + function: &'static str, + kind: &'static str, + }, + #[error("{function} takes a geometry with M ordinates")] + NoMeasure { function: &'static str }, + #[error("{function}: fraction {fraction} is outside [0, 1]")] + Fraction { + function: &'static str, + fraction: f64, + }, +} + +/// The positions of a single LineString. +fn line_positions(g: &SridGeometry, function: &'static str) -> Result, LinearError> { + match (g.geometry(), pieces(g).as_slice()) { + (Geometry::LineString { .. }, [Piece::Line(ps)]) => Ok(ps.clone()), + (other, _) => Err(LinearError::NotALine { + function, + kind: other.geometry_type(), + }), + } +} + +/// `ST_LineInterpolatePoint(line, fraction)`: the point `fraction` of the +/// way along `line`, measured in `metric`. +pub fn line_interpolate_point( + g: &SridGeometry, + fraction: f64, + metric: &Metric, +) -> Result { + const F: &str = "ST_LineInterpolatePoint"; + if !(0.0..=1.0).contains(&fraction) { + return Err(LinearError::Fraction { + function: F, + fraction, + } + .into()); + } + let ps = line_positions(g, F)?; + let mut asm = Assembler::new(g.dimension()); + let Some(first) = ps.first() else { + return Ok(asm.finish(g.srid, Geometry::empty_point())?); + }; + let lengths: Vec = ps + .windows(2) + .map(|w| metric.segment_length([w[0].x, w[0].y], [w[1].x, w[1].y])) + .collect(); + let total: f64 = lengths.iter().sum(); + let target = total * fraction; + let mut walked = 0.0; + let mut at = *ps.last().unwrap_or(first); + for (i, len) in lengths.iter().enumerate() { + if walked + len >= target && *len > 0.0 { + let t = (target - walked) / len; + at = along(&ps[i], &ps[i + 1], t, metric); + break; + } + walked += len; + } + let c = asm.coord(&at)?; + Ok(asm.finish(g.srid, Geometry::point(c[0], c[1]))?) +} + +/// The position fraction `t` along edge a–b: a geodesic position on a +/// geographic CRS, a straight one on a projected CRS. +fn along(a: &Position, b: &Position, t: f64, metric: &Metric) -> Position { + let straight = lerp(a, b, t); + match metric { + Metric::Planar { .. } => straight, + Metric::Geodesic(m) => { + let g = m.geodesic(); + let (s12, azi1, _) = g.inverse(a.y, a.x, b.y, b.x); + let pos = GeodesicLine::new(g, a.y, a.x, azi1).position(s12 * t); + Position { + x: pos.lon2, + y: pos.lat2, + ..straight + } + } + } +} + +/// `ST_Segmentize(geom, max_length_m)`: insert vertices so no edge is +/// longer than `max_metres`, measured in `metric`. +pub fn segmentize( + g: &SridGeometry, + max_metres: f64, + metric: &Metric, +) -> Result { + let mut asm = Assembler::new(g.dimension()); + let dense = |ps: &[Position], asm: &mut Assembler| -> Result, SpatialError> { + let mut out = Vec::with_capacity(ps.len()); + for (i, p) in ps.iter().enumerate() { + if i > 0 { + let prev = &ps[i - 1]; + let len = metric.segment_length([prev.x, prev.y], [p.x, p.y]); + let parts = (len / max_metres).ceil().clamp(1.0, MAX_SEGMENTS_PER_EDGE) as usize; + for k in 1..parts { + out.push(asm.coord(&along(prev, p, k as f64 / parts as f64, metric))?); + } + } + out.push(asm.coord(p)?); + } + Ok(out) + }; + let shape = rebuild(g.geometry(), &pieces(g), &mut asm, &dense)?; + Ok(asm.finish(g.srid, shape)?) +} + +/// Cap on inserted vertices per edge, so a tiny length cannot allocate +/// without bound. +const MAX_SEGMENTS_PER_EDGE: f64 = 1_000_000.0; + +type Densify<'a> = &'a dyn Fn(&[Position], &mut Assembler) -> Result, SpatialError>; + +/// Rebuild `geom`'s shape from its pieces, every path through `f`. +fn rebuild( + geom: &Geometry, + all: &[Piece], + asm: &mut Assembler, + f: Densify<'_>, +) -> Result { + let mut iter = all.iter(); + rebuild_inner(geom, &mut iter, asm, f) +} + +fn rebuild_inner<'p>( + geom: &Geometry, + iter: &mut impl Iterator, + asm: &mut Assembler, + f: Densify<'_>, +) -> Result { + let next_points = |n: usize, iter: &mut dyn Iterator, asm: &mut Assembler| { + let mut out = Vec::with_capacity(n); + for _ in 0..n { + if let Some(Piece::Point(p)) = iter.next() { + out.push(asm.coord(p)?); + } + } + Ok::<_, SpatialError>(out) + }; + Ok(match geom { + g if g.is_empty() && !matches!(g, Geometry::GeometryCollection { .. }) => g.clone(), + Geometry::Point { .. } => { + let c = next_points(1, iter, asm)?; + c.first() + .map_or_else(Geometry::empty_point, |c| Geometry::point(c[0], c[1])) + } + Geometry::MultiPoint { coordinates } => Geometry::MultiPoint { + coordinates: next_points(coordinates.len(), iter, asm)?, + }, + Geometry::LineString { .. } => match iter.next() { + Some(Piece::Line(ps)) => Geometry::line_string(f(ps, asm)?), + _ => geom.clone(), + }, + Geometry::MultiLineString { coordinates } => { + let mut lines = Vec::with_capacity(coordinates.len()); + for _ in coordinates { + if let Some(Piece::Line(ps)) = iter.next() { + lines.push(f(ps, asm)?); + } + } + Geometry::MultiLineString { coordinates: lines } + } + Geometry::Polygon { .. } => match iter.next() { + Some(Piece::Polygon(rings)) => { + Geometry::polygon(rings.iter().map(|r| f(r, asm)).collect::>()?) + } + _ => geom.clone(), + }, + Geometry::MultiPolygon { coordinates } => { + let mut polygons = Vec::with_capacity(coordinates.len()); + for _ in coordinates { + if let Some(Piece::Polygon(rings)) = iter.next() { + polygons.push(rings.iter().map(|r| f(r, asm)).collect::>()?); + } + } + Geometry::MultiPolygon { + coordinates: polygons, + } + } + Geometry::GeometryCollection { geometries } => Geometry::GeometryCollection { + geometries: geometries + .iter() + .map(|member| rebuild_inner(member, iter, asm, f)) + .collect::>()?, + }, + }) +} + +fn require_m(g: &SridGeometry, function: &'static str) -> Result<(), LinearError> { + if g.has_m() { + Ok(()) + } else { + Err(LinearError::NoMeasure { function }) + } +} + +/// `p` moved `offset` to the left of the direction a → b. +fn offset_left(p: Position, a: &Position, b: &Position, offset: f64) -> Position { + if offset == 0.0 { + return p; + } + let (dx, dy) = (b.x - a.x, b.y - a.y); + let len = dx.hypot(dy); + if len == 0.0 { + return p; + } + Position { + x: p.x - dy / len * offset, + y: p.y + dx / len * offset, + ..p + } +} + +/// `ST_LocateAlong(geom, m [, offset])`: every point where the measure +/// equals `m`, moved `offset` coordinate units to the left of the line. +/// The result is a MULTIPOINT in the input's dimension. +pub fn locate_along(g: &SridGeometry, m: f64, offset: f64) -> Result { + require_m(g, "ST_LocateAlong")?; + let mut found = Vec::new(); + for piece in pieces(g) { + match piece { + Piece::Point(p) if p.m == Some(m) => found.push(p), + Piece::Point(_) | Piece::Polygon(_) => {} + Piece::Line(ps) => { + for w in ps.windows(2) { + let (Some(m0), Some(m1)) = (w[0].m, w[1].m) else { + continue; + }; + let (lo, hi) = (m0.min(m1), m0.max(m1)); + if !(lo..=hi).contains(&m) { + continue; + } + let t = if m1 == m0 { 0.0 } else { (m - m0) / (m1 - m0) }; + let p = Position { + m: Some(m), + ..lerp(&w[0], &w[1], t) + }; + found.push(offset_left(p, &w[0], &w[1], offset)); + } + } + } + } + found.dedup(); + Ok(multipoint(g.srid, g.dimension(), &found)?) +} + +/// `ST_LocateBetween(geom, m_start, m_end [, offset])`: the parts whose +/// measures lie in [m_start, m_end]. Points come back as a MULTIPOINT, +/// line pieces as a MULTILINESTRING, both when both occur in a +/// GEOMETRYCOLLECTION. Each line piece moves `offset` to its left. +pub fn locate_between( + g: &SridGeometry, + m_start: f64, + m_end: f64, + offset: f64, +) -> Result { + require_m(g, "ST_LocateBetween")?; + let (lo, hi) = (m_start.min(m_end), m_start.max(m_end)); + let inside = |m: Option| m.is_some_and(|m| (lo..=hi).contains(&m)); + let mut points = Vec::new(); + let mut lines: Vec> = Vec::new(); + for piece in pieces(g) { + match piece { + Piece::Point(p) if inside(p.m) => points.push(p), + Piece::Point(_) | Piece::Polygon(_) => {} + Piece::Line(ps) => { + let mut current: Vec = Vec::new(); + for w in ps.windows(2) { + let (a, b) = (&w[0], &w[1]); + let (Some(ma), Some(mb)) = (a.m, b.m) else { + continue; + }; + let clamp = |m: f64| { + if mb == ma { + 0.0 + } else { + ((m - ma) / (mb - ma)).clamp(0.0, 1.0) + } + }; + let (t0, t1) = { + let (u, v) = (clamp(lo), clamp(hi)); + (u.min(v), u.max(v)) + }; + let overlaps = ma.min(mb) <= hi && ma.max(mb) >= lo; + if !overlaps { + flush(&mut current, &mut lines, offset); + continue; + } + let (s, e) = (lerp(a, b, t0), lerp(a, b, t1)); + if current.last() != Some(&s) { + flush(&mut current, &mut lines, offset); + current.push(s); + } + current.push(e); + if t1 < 1.0 { + flush(&mut current, &mut lines, offset); + } + } + flush(&mut current, &mut lines, offset); + } + } + } + let dimension = g.dimension(); + Ok(match (points.is_empty(), lines.is_empty()) { + (_, true) => multipoint(g.srid, dimension, &points)?, + (true, false) => multiline(g.srid, dimension, &lines)?, + (false, false) => { + let mut asm = Assembler::new(dimension); + let pts = asm.path(&points)?; + let ls = lines + .iter() + .map(|l| asm.path(l)) + .collect::>()?; + asm.finish( + g.srid, + Geometry::GeometryCollection { + geometries: vec![ + Geometry::MultiPoint { coordinates: pts }, + Geometry::MultiLineString { coordinates: ls }, + ], + }, + )? + } + }) +} + +/// Close the running piece: a single position becomes nothing, two or +/// more become a line moved `offset` to the left. +fn flush(current: &mut Vec, lines: &mut Vec>, offset: f64) { + let piece = std::mem::take(current); + if piece.len() < 2 { + return; + } + let moved = piece + .iter() + .enumerate() + .map(|(i, p)| { + let (a, b) = if i + 1 < piece.len() { + (&piece[i], &piece[i + 1]) + } else { + (&piece[i - 1], &piece[i]) + }; + offset_left(*p, a, b, offset) + }) + .collect(); + lines.push(moved); +} + +/// `ST_InterpolatePoint(line, point)`: the M of `line` at the position +/// nearest `point`. +pub fn interpolate_point( + line: &SridGeometry, + point: [f64; 2], +) -> Result, SpatialError> { + const F: &str = "ST_InterpolatePoint"; + require_m(line, F)?; + let ps = line_positions(line, F)?; + let mut best: Option<(f64, f64)> = None; + for w in ps.windows(2) { + let (a, b) = ([w[0].x, w[0].y], [w[1].x, w[1].y]); + let d = point_to_segment_dist_sq(point, a, b); + if best.is_none_or(|(bd, _)| d < bd) { + let t = fraction_along(a, b, point); + best = lerp(&w[0], &w[1], t).m.map(|m| (d, m)); + } + } + Ok(best + .map(|(_, m)| m) + .or_else(|| ps.first().and_then(|p| p.m))) +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::{Ordinates, Srid}; + + fn line_m(coords: Vec<[f64; 2]>, m: Vec) -> SridGeometry { + SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::line_string(coords), + Ordinates::new(None, Some(m)), + ) + .unwrap() + } + + fn planar() -> Metric { + Metric::Planar { + metres_per_unit: 1.0, + } + } + + #[test] + fn interpolate_along_a_planar_line() { + let line = line_m( + vec![[0.0, 0.0], [10.0, 0.0], [10.0, 10.0]], + vec![0.0, 10.0, 20.0], + ); + let p = line_interpolate_point(&line, 0.75, &planar()).unwrap(); + assert_eq!(p.geometry(), &Geometry::point(10.0, 5.0)); + assert_eq!(p.ordinates().m(), Some(&[15.0][..])); + assert!(line_interpolate_point(&line, 1.5, &planar()).is_err()); + } + + #[test] + fn geodesic_interpolation_lies_on_the_geodesic() { + let m = Metric::wgs84(); + let line = SridGeometry::wgs84(Geometry::line_string(vec![[0.0, 0.0], [0.0, 10.0]])); + let mid = line_interpolate_point(&line, 0.5, &m).unwrap(); + let Geometry::Point { coordinates } = mid.geometry() else { + panic!(); + }; + let d0 = m.segment_length([0.0, 0.0], *coordinates); + let d1 = m.segment_length(*coordinates, [0.0, 10.0]); + assert!((d0 - d1).abs() < 1e-6, "{d0} {d1}"); + } + + #[test] + fn locate_along_and_between() { + let line = line_m(vec![[0.0, 0.0], [10.0, 0.0]], vec![0.0, 100.0]); + let at = locate_along(&line, 25.0, 0.0).unwrap(); + assert_eq!( + at.geometry(), + &Geometry::MultiPoint { + coordinates: vec![[2.5, 0.0]] + } + ); + let offset = locate_along(&line, 25.0, 1.0).unwrap(); + assert_eq!( + offset.geometry(), + &Geometry::MultiPoint { + coordinates: vec![[2.5, 1.0]] + } + ); + let between = locate_between(&line, 20.0, 40.0, 0.0).unwrap(); + assert_eq!( + between.geometry(), + &Geometry::MultiLineString { + coordinates: vec![vec![[2.0, 0.0], [4.0, 0.0]]] + } + ); + assert_eq!(between.ordinates().m(), Some(&[20.0, 40.0][..])); + } + + #[test] + fn interpolate_point_reads_m() { + let line = line_m(vec![[0.0, 0.0], [10.0, 0.0]], vec![0.0, 100.0]); + assert_eq!(interpolate_point(&line, [3.0, 4.0]).unwrap(), Some(30.0)); + let xy = SridGeometry::wgs84(Geometry::line_string(vec![[0.0, 0.0], [1.0, 0.0]])); + assert!(interpolate_point(&xy, [0.0, 0.0]).is_err()); + } + + #[test] + fn segmentize_bounds_edge_length_and_keeps_m() { + let line = line_m(vec![[0.0, 0.0], [10.0, 0.0]], vec![0.0, 10.0]); + let dense = segmentize(&line, 3.0, &planar()).unwrap(); + assert_eq!(dense.geometry().coord_count(), 5); + assert_eq!(dense.ordinates().m(), Some(&[0.0, 2.5, 5.0, 7.5, 10.0][..])); + let m = Metric::wgs84(); + let geo = SridGeometry::wgs84(Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]])); + let dense = segmentize(&geo, 10_000.0, &m).unwrap(); + let coords: Vec<_> = dense.geometry().coords().collect(); + for w in coords.windows(2) { + assert!(m.segment_length(w[0], w[1]) <= 10_000.0 + 1e-6); + } + } +} diff --git a/nodedb-spatial/src/ops/mod.rs b/nodedb-spatial/src/ops/mod.rs new file mode 100644 index 000000000..a5f1a1981 --- /dev/null +++ b/nodedb-spatial/src/ops/mod.rs @@ -0,0 +1,37 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Geometry operations: boolean overlay, buffer, DE-9IM, simplification, +//! hulls, repair, linear referencing, subdivision, splitting and tiles. + +pub mod boolean; +pub mod buffer; +pub mod closest; +pub(crate) mod convert; +pub mod hull; +pub mod linear; +pub(crate) mod noding; +pub(crate) mod pieces; +pub mod relate; +pub mod repair; +pub mod simplify; +pub mod split; +pub mod subdivide; +pub mod tile; + +pub use boolean::{difference, intersection, sym_difference, union}; +pub use buffer::buffer; +pub use closest::closest_point; +pub use hull::{Hull, hull}; +pub use linear::{ + LinearError, interpolate_point, line_interpolate_point, locate_along, locate_between, + segmentize, +}; +pub use relate::{Relation, relate, relate_pattern, relates}; +pub use repair::make_valid; +pub use simplify::{Simplifier, simplify}; +pub use split::split; +pub use subdivide::{MIN_SUBDIVIDE_VERTICES, subdivide}; +pub use tile::{ + MAX_TILE_ZOOM, TileError, WEB_MERCATOR_HALF_SIDE, shift_longitude, tile_envelope, + web_mercator_bounds, +}; diff --git a/nodedb-spatial/src/ops/noding.rs b/nodedb-spatial/src/ops/noding.rs new file mode 100644 index 000000000..5ac1d7a27 --- /dev/null +++ b/nodedb-spatial/src/ops/noding.rs @@ -0,0 +1,137 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Exact-as-floats intersection of two segments. + +/// Cross-product magnitude under which segments count as parallel. +const PARALLEL_EPS: f64 = 1e-12; + +/// Where two segments meet. +#[derive(Debug, Clone, Copy, PartialEq)] +pub(crate) enum Meet { + Disjoint, + Point([f64; 2]), + /// Collinear segments sharing a stretch, start and end in the first + /// segment's direction. + Overlap([f64; 2], [f64; 2]), +} + +fn sub(a: [f64; 2], b: [f64; 2]) -> [f64; 2] { + [a[0] - b[0], a[1] - b[1]] +} + +fn cross(a: [f64; 2], b: [f64; 2]) -> f64 { + a[0] * b[1] - a[1] * b[0] +} + +fn dot(a: [f64; 2], b: [f64; 2]) -> f64 { + a[0] * b[0] + a[1] * b[1] +} + +fn lerp(a: [f64; 2], b: [f64; 2], t: f64) -> [f64; 2] { + [a[0] + (b[0] - a[0]) * t, a[1] + (b[1] - a[1]) * t] +} + +/// Whether `x` lies on segment p–q, within the parallel tolerance. +fn on(p: [f64; 2], q: [f64; 2], x: [f64; 2]) -> bool { + let d = sub(q, p); + let len = dot(d, d).sqrt(); + if len == 0.0 { + return p == x; + } + let px = sub(x, p); + cross(d, px).abs() <= PARALLEL_EPS * len * len.max(px[0].hypot(px[1])) + && (0.0..=len * len).contains(&dot(px, d)) +} + +/// Where segment p1–q1 meets segment p2–q2. +pub(crate) fn meet(p1: [f64; 2], q1: [f64; 2], p2: [f64; 2], q2: [f64; 2]) -> Meet { + let r = sub(q1, p1); + let s = sub(q2, p2); + let r_len = dot(r, r).sqrt(); + let s_len = dot(s, s).sqrt(); + if r_len == 0.0 { + return if on(p2, q2, p1) { + Meet::Point(p1) + } else { + Meet::Disjoint + }; + } + if s_len == 0.0 { + return if on(p1, q1, p2) { + Meet::Point(p2) + } else { + Meet::Disjoint + }; + } + let qp = sub(p2, p1); + let denom = cross(r, s); + if denom.abs() <= PARALLEL_EPS * r_len * s_len { + let qp_len = qp[0].hypot(qp[1]); + if cross(qp, r).abs() > PARALLEL_EPS * r_len * r_len.max(qp_len) { + return Meet::Disjoint; + } + let rr = r_len * r_len; + let t0 = dot(qp, r) / rr; + let t1 = t0 + dot(s, r) / rr; + let (lo, hi) = (t0.min(t1).max(0.0), t0.max(t1).min(1.0)); + if lo > hi { + return Meet::Disjoint; + } + let (a, b) = (lerp(p1, q1, lo), lerp(p1, q1, hi)); + return if a == b { + Meet::Point(a) + } else { + Meet::Overlap(a, b) + }; + } + let t = cross(qp, s) / denom; + let u = cross(qp, r) / denom; + if (0.0..=1.0).contains(&t) && (0.0..=1.0).contains(&u) { + Meet::Point(lerp(p1, q1, t)) + } else { + Meet::Disjoint + } +} + +/// The fraction along p–q of the point on it nearest to `x`, in [0, 1]. +pub(crate) fn fraction_along(p: [f64; 2], q: [f64; 2], x: [f64; 2]) -> f64 { + let d = sub(q, p); + let len_sq = dot(d, d); + if len_sq == 0.0 { + return 0.0; + } + (dot(sub(x, p), d) / len_sq).clamp(0.0, 1.0) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn crossing_segments_meet_at_a_point() { + assert_eq!( + meet([0.0, 0.0], [2.0, 2.0], [0.0, 2.0], [2.0, 0.0]), + Meet::Point([1.0, 1.0]) + ); + } + + #[test] + fn collinear_segments_overlap() { + assert_eq!( + meet([0.0, 0.0], [4.0, 0.0], [2.0, 0.0], [6.0, 0.0]), + Meet::Overlap([2.0, 0.0], [4.0, 0.0]) + ); + assert_eq!( + meet([0.0, 0.0], [1.0, 0.0], [2.0, 0.0], [3.0, 0.0]), + Meet::Disjoint + ); + } + + #[test] + fn parallel_offset_segments_are_disjoint() { + assert_eq!( + meet([0.0, 0.0], [4.0, 0.0], [0.0, 1.0], [4.0, 1.0]), + Meet::Disjoint + ); + } +} diff --git a/nodedb-spatial/src/ops/pieces.rs b/nodedb-spatial/src/ops/pieces.rs new file mode 100644 index 000000000..225f6ebf8 --- /dev/null +++ b/nodedb-spatial/src/ops/pieces.rs @@ -0,0 +1,158 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A geometry split into points, lines and polygons whose coordinates +//! carry their Z and M, and the way back. + +use nodedb_types::geometry::{ + Dimension, Geometry, OrdinateError, OrdinatesBuilder, Position, Srid, SridGeometry, +}; + +/// One component with its positions. +#[derive(Debug, Clone, PartialEq)] +pub(crate) enum Piece { + Point(Position), + Line(Vec), + Polygon(Vec>), +} + +/// Every component of `g` in traversal order. EMPTY components are skipped. +pub(crate) fn pieces(g: &SridGeometry) -> Vec { + let positions: Vec = g.positions().collect(); + let mut cursor = 0usize; + let mut out = Vec::new(); + walk(g.geometry(), &positions, &mut cursor, &mut out); + out +} + +fn take(positions: &[Position], cursor: &mut usize, n: usize) -> Vec { + let end = (*cursor + n).min(positions.len()); + let slice = positions[*cursor..end].to_vec(); + *cursor = end; + slice +} + +fn walk(geom: &Geometry, positions: &[Position], cursor: &mut usize, out: &mut Vec) { + match geom { + Geometry::Point { .. } if geom.is_empty() => {} + Geometry::Point { .. } => { + out.extend(take(positions, cursor, 1).into_iter().map(Piece::Point)) + } + Geometry::MultiPoint { coordinates } => out.extend( + take(positions, cursor, coordinates.len()) + .into_iter() + .map(Piece::Point), + ), + Geometry::LineString { coordinates } => { + out.push(Piece::Line(take(positions, cursor, coordinates.len()))); + } + Geometry::MultiLineString { coordinates } => { + for line in coordinates { + out.push(Piece::Line(take(positions, cursor, line.len()))); + } + } + Geometry::Polygon { coordinates } => out.push(Piece::Polygon( + coordinates + .iter() + .map(|ring| take(positions, cursor, ring.len())) + .collect(), + )), + Geometry::MultiPolygon { coordinates } => { + for polygon in coordinates { + out.push(Piece::Polygon( + polygon + .iter() + .map(|ring| take(positions, cursor, ring.len())) + .collect(), + )); + } + } + Geometry::GeometryCollection { geometries } => { + for member in geometries { + walk(member, positions, cursor, out); + } + } + } +} + +/// Builds a geometry of one dimension from positions. +pub(crate) struct Assembler { + dimension: Dimension, + ordinates: OrdinatesBuilder, +} + +impl Assembler { + pub(crate) fn new(dimension: Dimension) -> Self { + Self { + dimension, + ordinates: OrdinatesBuilder::with_dimension(dimension), + } + } + + /// The XY of `p`, recording its Z and M under the fixed dimension. + pub(crate) fn coord(&mut self, p: &Position) -> Result<[f64; 2], OrdinateError> { + let z = self.dimension.has_z().then(|| p.z.unwrap_or(0.0)); + let m = self.dimension.has_m().then(|| p.m.unwrap_or(0.0)); + self.ordinates.push(z, m)?; + Ok([p.x, p.y]) + } + + pub(crate) fn path(&mut self, ps: &[Position]) -> Result, OrdinateError> { + ps.iter().map(|p| self.coord(p)).collect() + } + + pub(crate) fn finish( + self, + srid: Srid, + geometry: Geometry, + ) -> Result { + SridGeometry::with_ordinates(srid, geometry, self.ordinates.finish()) + } +} + +/// Points as a single point, a multipoint, or `MULTIPOINT EMPTY`, in +/// `dimension`. +pub(crate) fn multipoint( + srid: Srid, + dimension: Dimension, + points: &[Position], +) -> Result { + let mut asm = Assembler::new(dimension); + let coords = asm.path(points)?; + asm.finish( + srid, + Geometry::MultiPoint { + coordinates: coords, + }, + ) +} + +/// Lines as a multilinestring (possibly EMPTY) in `dimension`. +pub(crate) fn multiline( + srid: Srid, + dimension: Dimension, + lines: &[Vec], +) -> Result { + let mut asm = Assembler::new(dimension); + let coords = lines + .iter() + .map(|l| asm.path(l)) + .collect::>()?; + asm.finish( + srid, + Geometry::MultiLineString { + coordinates: coords, + }, + ) +} + +/// Linear interpolation between two positions at fraction `t`. Z and M +/// interpolate where both ends carry them. +pub(crate) fn lerp(a: &Position, b: &Position, t: f64) -> Position { + let mix = |u: Option, v: Option| u.zip(v).map(|(u, v)| u + (v - u) * t); + Position { + x: a.x + (b.x - a.x) * t, + y: a.y + (b.y - a.y) * t, + z: mix(a.z, b.z), + m: mix(a.m, b.m), + } +} diff --git a/nodedb-spatial/src/ops/relate.rs b/nodedb-spatial/src/ops/relate.rs new file mode 100644 index 000000000..a0f10783b --- /dev/null +++ b/nodedb-spatial/src/ops/relate.rs @@ -0,0 +1,115 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! DE-9IM: `ST_Relate` and the named predicates it defines (`ST_Touches`, +//! `ST_Crosses`, `ST_Overlaps`, `ST_Equals`, `ST_Covers`, `ST_CoveredBy`), +//! through `geo::Relate`. Planar in the coordinates. + +use geo::Relate; +use geo::coordinate_position::CoordPos; +use geo::dimensions::Dimensions; +use geo::relate::IntersectionMatrix; +use nodedb_types::geometry::Geometry; + +use super::convert::to_geo; +use crate::error::SpatialError; + +fn matrix(a: &Geometry, b: &Geometry) -> IntersectionMatrix { + to_geo(a).relate(&to_geo(b)) +} + +/// The DE-9IM matrix of `a` and `b`, as the 9-character string PostGIS +/// returns: rows interior, boundary, exterior of `a`, columns the same of +/// `b`. +pub fn relate(a: &Geometry, b: &Geometry) -> String { + let m = matrix(a, b); + let order = [CoordPos::Inside, CoordPos::OnBoundary, CoordPos::Outside]; + let mut out = String::with_capacity(9); + for lhs in order { + for rhs in order { + out.push(match m.get(lhs, rhs) { + Dimensions::Empty => 'F', + Dimensions::ZeroDimensional => '0', + Dimensions::OneDimensional => '1', + Dimensions::TwoDimensional => '2', + }); + } + } + out +} + +/// Whether the DE-9IM matrix of `a` and `b` matches `pattern` +/// (`ST_Relate(a, b, pattern)`). Characters: `0 1 2 T F *`. +pub fn relate_pattern(a: &Geometry, b: &Geometry, pattern: &str) -> Result { + matrix(a, b) + .matches(pattern) + .map_err(|e| SpatialError::Pattern { + pattern: pattern.into(), + reason: e.to_string().into(), + }) +} + +/// The named DE-9IM predicates. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum Relation { + Touches, + Crosses, + Overlaps, + Equals, + Covers, + CoveredBy, +} + +/// Whether `a` and `b` stand in `relation`. +pub fn relates(a: &Geometry, b: &Geometry, relation: Relation) -> bool { + let m = matrix(a, b); + match relation { + Relation::Touches => m.is_touches(), + Relation::Crosses => m.is_crosses(), + Relation::Overlaps => m.is_overlaps(), + Relation::Equals => m.is_equal_topo(), + Relation::Covers => m.is_covers(), + Relation::CoveredBy => m.is_coveredby(), + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn square(x0: f64, y0: f64, side: f64) -> Geometry { + Geometry::polygon(vec![vec![ + [x0, y0], + [x0 + side, y0], + [x0 + side, y0 + side], + [x0, y0 + side], + [x0, y0], + ]]) + } + + /// shapely 2.2.0: box(0,0,2,2).relate(box(1,1,3,3)) == '212101212'. + #[test] + fn overlapping_squares_matrix() { + assert_eq!( + relate(&square(0.0, 0.0, 2.0), &square(1.0, 1.0, 2.0)), + "212101212" + ); + assert!(relates( + &square(0.0, 0.0, 2.0), + &square(1.0, 1.0, 2.0), + Relation::Overlaps + )); + } + + #[test] + fn named_predicates() { + let (a, b) = (square(0.0, 0.0, 1.0), square(1.0, 0.0, 1.0)); + assert!(relates(&a, &b, Relation::Touches)); + let line = Geometry::line_string(vec![[-1.0, 0.5], [0.5, 0.5]]); + assert!(relates(&line, &a, Relation::Crosses)); + assert!(relates(&a, &a.clone(), Relation::Equals)); + assert!(relates(&square(0.0, 0.0, 4.0), &a, Relation::Covers)); + assert!(relates(&a, &square(0.0, 0.0, 4.0), Relation::CoveredBy)); + assert!(relate_pattern(&a, &b, "FF*F0****").is_ok()); + assert!(relate_pattern(&a, &b, "bad").is_err()); + } +} diff --git a/nodedb-spatial/src/ops/repair.rs b/nodedb-spatial/src/ops/repair.rs new file mode 100644 index 000000000..51d25c0ac --- /dev/null +++ b/nodedb-spatial/src/ops/repair.rs @@ -0,0 +1,114 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_MakeValid`. +//! +//! Polygons repair through `geo::MakeValid` (constrained Delaunay +//! triangulation, odd-even fill, Ledoux et al. 2014): a self-intersecting +//! ring splits into its valid pieces, a dangling spike drops, an unclosed +//! ring closes. A line with fewer than two distinct points becomes a point. +//! Repeated consecutive vertices drop. + +use geo::MakeValid; +use nodedb_types::geometry::Geometry; + +use super::convert::{multipolygon, polygon, simplest}; +use crate::error::SpatialError; + +/// A valid geometry with the same point set where one exists. +pub fn make_valid(geom: &Geometry) -> Result { + Ok(match geom { + g if g.is_empty() => g.clone(), + Geometry::Point { .. } | Geometry::MultiPoint { .. } => geom.clone(), + Geometry::LineString { coordinates } => line(coordinates), + Geometry::MultiLineString { coordinates } => { + let parts: Vec = coordinates.iter().map(|l| line(l)).collect(); + if parts + .iter() + .all(|p| matches!(p, Geometry::LineString { .. })) + { + Geometry::MultiLineString { + coordinates: parts + .into_iter() + .filter_map(|p| match p { + Geometry::LineString { coordinates } => Some(coordinates), + _ => None, + }) + .collect(), + } + } else { + Geometry::GeometryCollection { geometries: parts } + } + } + Geometry::Polygon { coordinates } => repaired(polygon(coordinates).make_valid())?, + Geometry::MultiPolygon { coordinates } => repaired( + geo::MultiPolygon::new(coordinates.iter().map(|p| polygon(p)).collect()).make_valid(), + )?, + Geometry::GeometryCollection { geometries } => Geometry::GeometryCollection { + geometries: geometries + .iter() + .map(make_valid) + .collect::>()?, + }, + }) +} + +fn repaired( + result: Result, E>, +) -> Result { + let mp = result.map_err(|e| SpatialError::Repair { + reason: e.to_string().into(), + })?; + let g = multipolygon(&mp); + Ok(if g.is_empty() { + Geometry::empty(nodedb_types::geometry::GeometryKind::Polygon) + } else { + simplest(g) + }) +} + +/// A line without repeated consecutive vertices, or a point when one +/// distinct vertex remains. +fn line(coords: &[[f64; 2]]) -> Geometry { + let mut out: Vec<[f64; 2]> = Vec::with_capacity(coords.len()); + for c in coords { + if out.last() != Some(c) { + out.push(*c); + } + } + match out.as_slice() { + [only] => Geometry::point(only[0], only[1]), + _ => Geometry::line_string(out), + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::planar::planar_area; + use crate::validate::is_valid; + + /// shapely 2.2.0: make_valid(bowtie) is a MultiPolygon of area 50. + #[test] + fn bowtie_splits_into_two_triangles() { + let bowtie = Geometry::polygon(vec![vec![ + [0.0, 0.0], + [0.0, 10.0], + [10.0, 0.0], + [10.0, 10.0], + [0.0, 0.0], + ]]); + assert!(!is_valid(&bowtie)); + let fixed = make_valid(&bowtie).unwrap(); + assert!(is_valid(&fixed), "{fixed:?}"); + assert!((planar_area(&fixed) - 50.0).abs() < 1e-9); + assert!( + matches!(fixed, Geometry::MultiPolygon { ref coordinates } if coordinates.len() == 2) + ); + } + + #[test] + fn collapsed_line_becomes_a_point() { + let line = Geometry::line_string(vec![[1.0, 1.0], [1.0, 1.0]]); + assert_eq!(make_valid(&line).unwrap(), Geometry::point(1.0, 1.0)); + } +} diff --git a/nodedb-spatial/src/ops/simplify.rs b/nodedb-spatial/src/ops/simplify.rs new file mode 100644 index 000000000..fd93e63ef --- /dev/null +++ b/nodedb-spatial/src/ops/simplify.rs @@ -0,0 +1,97 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_Simplify` and `ST_SimplifyPreserveTopology`, planar in the +//! coordinates. +//! +//! `ST_Simplify` is Ramer–Douglas–Peucker: a vertex goes when it lies +//! within `tolerance` of the simplified line. `ST_SimplifyPreserveTopology` +//! is Visvalingam–Whyatt with topology preservation: a vertex goes when its +//! triangle with its neighbours has an area under `tolerance² / 2` and +//! removing it creates no self-intersection. Points pass through. + +use geo::{Simplify, SimplifyVwPreserve}; +use nodedb_types::geometry::Geometry; + +use super::convert::{from_geo, to_geo}; + +/// The simplification algorithm. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum Simplifier { + DouglasPeucker, + PreserveTopology, +} + +/// Simplify every linear and areal component of `geom`. +pub fn simplify(geom: &Geometry, tolerance: f64, simplifier: Simplifier) -> Geometry { + match geom { + Geometry::GeometryCollection { geometries } => Geometry::GeometryCollection { + geometries: geometries + .iter() + .map(|g| simplify(g, tolerance, simplifier)) + .collect(), + }, + g if g.is_empty() => g.clone(), + g => { + let area = tolerance * tolerance / 2.0; + let out = match (to_geo(g), simplifier) { + (geo::Geometry::LineString(l), Simplifier::DouglasPeucker) => { + geo::Geometry::LineString(l.simplify(tolerance)) + } + (geo::Geometry::LineString(l), Simplifier::PreserveTopology) => { + geo::Geometry::LineString(l.simplify_vw_preserve(area)) + } + (geo::Geometry::MultiLineString(l), Simplifier::DouglasPeucker) => { + geo::Geometry::MultiLineString(l.simplify(tolerance)) + } + (geo::Geometry::MultiLineString(l), Simplifier::PreserveTopology) => { + geo::Geometry::MultiLineString(l.simplify_vw_preserve(area)) + } + (geo::Geometry::Polygon(p), Simplifier::DouglasPeucker) => { + geo::Geometry::Polygon(p.simplify(tolerance)) + } + (geo::Geometry::Polygon(p), Simplifier::PreserveTopology) => { + geo::Geometry::Polygon(p.simplify_vw_preserve(area)) + } + (geo::Geometry::MultiPolygon(p), Simplifier::DouglasPeucker) => { + geo::Geometry::MultiPolygon(p.simplify(tolerance)) + } + (geo::Geometry::MultiPolygon(p), Simplifier::PreserveTopology) => { + geo::Geometry::MultiPolygon(p.simplify_vw_preserve(area)) + } + (other, _) => other, + }; + from_geo(&out) + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn douglas_peucker_drops_near_collinear_vertices() { + let line = Geometry::line_string(vec![[0.0, 0.0], [5.0, 0.1], [10.0, 0.0]]); + let out = simplify(&line, 0.5, Simplifier::DouglasPeucker); + assert_eq!(out, Geometry::line_string(vec![[0.0, 0.0], [10.0, 0.0]])); + let kept = simplify(&line, 0.01, Simplifier::DouglasPeucker); + assert_eq!(kept, line); + } + + #[test] + fn preserve_topology_keeps_a_valid_polygon() { + let poly = Geometry::polygon(vec![vec![ + [0.0, 0.0], + [5.0, 0.01], + [10.0, 0.0], + [10.0, 10.0], + [0.0, 10.0], + [0.0, 0.0], + ]]); + let out = simplify(&poly, 1.0, Simplifier::PreserveTopology); + let Geometry::Polygon { coordinates } = &out else { + panic!("{out:?}"); + }; + assert_eq!(coordinates[0].len(), 5); + } +} diff --git a/nodedb-spatial/src/ops/split.rs b/nodedb-spatial/src/ops/split.rs new file mode 100644 index 000000000..cfe3c6246 --- /dev/null +++ b/nodedb-spatial/src/ops/split.rs @@ -0,0 +1,451 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_Split(input, blade)`: cut a line by points, lines or polygon +//! boundaries, or a polygon by lines or polygon boundaries. The pieces +//! return as a GEOMETRYCOLLECTION, as PostGIS returns them. Planar in the +//! coordinates. +//! +//! A polygon splits by polygonizing: its rings and the blade's parts inside +//! it are noded at every crossing, the faces of the planar graph are +//! traced, and every face inside the input becomes a piece. A blade stretch +//! that does not reach across a face leaves that face whole. + +use std::collections::{HashMap, HashSet}; + +use geo::{BooleanOps, InteriorPoint}; +use nodedb_types::geometry::{Geometry, point_in_polygon}; + +use super::convert::{polygon, rings as geo_rings}; +use super::noding::{Meet, fraction_along, meet}; +use crate::error::SpatialError; +use crate::parts::polygon_covers; +use crate::planar::area::signed_area; +use crate::predicates::edge::{point_on_ring_boundary, point_on_segment, ring_edges}; + +/// Vertices closer than this fraction of the extent merge when noding. +const SNAP_FRACTION: f64 = 1e-9; + +/// A kept polygon face: outer ring, signed area, and the holes it owns. +type Face = (Vec<[f64; 2]>, f64, Vec>); + +/// Blade parts by dimension. +struct Blade { + points: Vec<[f64; 2]>, + lines: Vec>, +} + +impl Blade { + fn of(geom: &Geometry) -> Result { + let mut blade = Blade { + points: Vec::new(), + lines: Vec::new(), + }; + blade.add(geom)?; + Ok(blade) + } + + fn add(&mut self, geom: &Geometry) -> Result<(), SpatialError> { + match geom { + g if g.is_empty() => {} + Geometry::Point { coordinates } => self.points.push(*coordinates), + Geometry::MultiPoint { coordinates } => self.points.extend_from_slice(coordinates), + Geometry::LineString { coordinates } => self.lines.push(coordinates.clone()), + Geometry::MultiLineString { coordinates } => { + self.lines.extend(coordinates.iter().cloned()) + } + Geometry::Polygon { coordinates } => self.lines.extend(closed(coordinates)), + Geometry::MultiPolygon { coordinates } => { + self.lines + .extend(coordinates.iter().flat_map(|p| closed(p))); + } + Geometry::GeometryCollection { geometries } => { + for member in geometries { + self.add(member)?; + } + } + } + Ok(()) + } +} + +/// Rings as closed paths. +fn closed(rings: &[Vec<[f64; 2]>]) -> Vec> { + rings + .iter() + .map(|r| { + let mut r = r.clone(); + if let (Some(first), Some(last)) = (r.first().copied(), r.last()) + && first != *last + { + r.push(first); + } + r + }) + .collect() +} + +fn unsupported(geom: &Geometry) -> SpatialError { + SpatialError::Unsupported { + operation: "ST_Split", + kinds: format!("a {} input", geom.geometry_type()).into(), + } +} + +/// Split `input` by `blade`. +pub fn split(input: &Geometry, blade: &Geometry) -> Result { + let blade = Blade::of(blade)?; + let geometries = match input { + g if g.is_empty() => Vec::new(), + Geometry::LineString { coordinates } => split_line(coordinates, &blade) + .into_iter() + .map(Geometry::line_string) + .collect(), + Geometry::MultiLineString { coordinates } => coordinates + .iter() + .flat_map(|l| split_line(l, &blade)) + .map(Geometry::line_string) + .collect(), + Geometry::Polygon { coordinates } => split_polygon(coordinates, &blade.lines) + .into_iter() + .map(Geometry::polygon) + .collect(), + Geometry::MultiPolygon { coordinates } => coordinates + .iter() + .flat_map(|p| split_polygon(p, &blade.lines)) + .map(Geometry::polygon) + .collect(), + other => return Err(unsupported(other)), + }; + Ok(Geometry::GeometryCollection { geometries }) +} + +/// Cut one line at every blade point on it and every blade crossing. +fn split_line(line: &[[f64; 2]], blade: &Blade) -> Vec> { + let mut cuts: Vec<(usize, f64)> = Vec::new(); + for (i, w) in line.windows(2).enumerate() { + for p in &blade.points { + if point_on_segment(*p, w[0], w[1]) { + cuts.push((i, fraction_along(w[0], w[1], *p))); + } + } + for bl in &blade.lines { + for bw in bl.windows(2) { + match meet(w[0], w[1], bw[0], bw[1]) { + Meet::Disjoint => {} + Meet::Point(p) => cuts.push((i, fraction_along(w[0], w[1], p))), + Meet::Overlap(s, e) => { + cuts.push((i, fraction_along(w[0], w[1], s))); + cuts.push((i, fraction_along(w[0], w[1], e))); + } + } + } + } + } + cuts.sort_by(|a, b| a.0.cmp(&b.0).then(a.1.total_cmp(&b.1))); + cuts.dedup(); + let mut pieces = Vec::new(); + let mut current = vec![line[0]]; + let mut cut_iter = cuts.into_iter().peekable(); + for (i, w) in line.windows(2).enumerate() { + while let Some(&(ci, t)) = cut_iter.peek() { + if ci != i { + break; + } + cut_iter.next(); + let p = [ + w[0][0] + (w[1][0] - w[0][0]) * t, + w[0][1] + (w[1][1] - w[0][1]) * t, + ]; + if current.last() != Some(&p) { + current.push(p); + } + if current.len() >= 2 { + pieces.push(std::mem::replace(&mut current, vec![p])); + } + } + if current.last() != Some(&w[1]) { + current.push(w[1]); + } + } + if current.len() >= 2 { + pieces.push(current); + } + pieces +} + +/// Split one polygon by blade lines. No blade inside it: the polygon +/// comes back whole. +fn split_polygon(rings: &[Vec<[f64; 2]>], blade: &[Vec<[f64; 2]>]) -> Vec>> { + if rings.is_empty() { + return Vec::new(); + } + let shape = polygon(rings); + let blade_lines = geo::MultiLineString::new( + blade + .iter() + .map(|l| { + geo::LineString::new(l.iter().map(|c| geo::Coord { x: c[0], y: c[1] }).collect()) + }) + .collect(), + ); + let inside = shape.clip(&blade_lines, false); + let mut segments: Vec<([f64; 2], [f64; 2])> = + rings.iter().flat_map(|r| ring_edges(r)).collect(); + let ring_count = segments.len(); + for l in &inside.0 { + segments.extend(l.0.windows(2).map(|w| ([w[0].x, w[0].y], [w[1].x, w[1].y]))); + } + if segments.len() == ring_count { + return vec![rings.to_vec()]; + } + let graph = Graph::build(&noded(&segments)); + let faces = graph.faces(); + let mut kept: Vec = Vec::new(); + let mut holes = Vec::new(); + for face in faces { + let area = signed_area(&face); + if area > 0.0 { + let candidate = polygon(std::slice::from_ref(&face)); + let interior = candidate.interior_point(); + if interior.is_some_and(|p| polygon_covers(rings, [p.x(), p.y()])) { + kept.push((face, area, Vec::new())); + } + } else if area < 0.0 { + holes.push(face); + } + } + for hole in holes { + let Some(probe) = hole.first().copied() else { + continue; + }; + let owner = kept + .iter_mut() + .filter(|(outer, _, _)| { + point_in_polygon(probe[0], probe[1], outer) && !point_on_ring_boundary(probe, outer) + }) + .min_by(|a, b| a.1.total_cmp(&b.1)); + if let Some((_, _, owned)) = owner { + let mut ring = hole; + ring.reverse(); + owned.push(ring); + } + } + kept.into_iter() + .map(|(outer, _, owned)| { + let mut out = vec![outer]; + out.extend(owned); + geo_rings(&polygon(&out)) + }) + .collect() +} + +/// Every segment cut at every point another segment meets it. +fn noded(segments: &[([f64; 2], [f64; 2])]) -> Vec<([f64; 2], [f64; 2])> { + let mut out = Vec::new(); + for (i, &(a, b)) in segments.iter().enumerate() { + let mut ts = vec![0.0, 1.0]; + for (j, &(c, d)) in segments.iter().enumerate() { + if i == j { + continue; + } + match meet(a, b, c, d) { + Meet::Disjoint => {} + Meet::Point(p) => ts.push(fraction_along(a, b, p)), + Meet::Overlap(s, e) => { + ts.push(fraction_along(a, b, s)); + ts.push(fraction_along(a, b, e)); + } + } + } + ts.sort_by(f64::total_cmp); + ts.dedup(); + let at = |t: f64| [a[0] + (b[0] - a[0]) * t, a[1] + (b[1] - a[1]) * t]; + out.extend(ts.windows(2).map(|w| (at(w[0]), at(w[1])))); + } + out +} + +/// A planar graph of noded segments. +struct Graph { + vertices: Vec<[f64; 2]>, + /// Neighbours of each vertex, counter-clockwise by angle. + around: Vec>, +} + +impl Graph { + fn build(segments: &[([f64; 2], [f64; 2])]) -> Self { + let extent = segments + .iter() + .flat_map(|(a, b)| [a[0].abs(), a[1].abs(), b[0].abs(), b[1].abs()]) + .fold(1.0f64, f64::max); + let eps = extent * SNAP_FRACTION; + let mut ids: HashMap<(i64, i64), usize> = HashMap::new(); + let mut vertices = Vec::new(); + let mut id = |p: [f64; 2]| { + let key = ((p[0] / eps).round() as i64, (p[1] / eps).round() as i64); + *ids.entry(key).or_insert_with(|| { + vertices.push(p); + vertices.len() - 1 + }) + }; + let mut edges: HashSet<(usize, usize)> = HashSet::new(); + for &(a, b) in segments { + let (u, v) = (id(a), id(b)); + if u != v { + edges.insert((u.min(v), u.max(v))); + } + } + let mut around = vec![Vec::new(); vertices.len()]; + for &(u, v) in &edges { + around[u].push(v); + around[v].push(u); + } + for (u, list) in around.iter_mut().enumerate() { + let o = vertices[u]; + list.sort_by(|&a, &b| { + let angle = |p: [f64; 2]| (p[1] - o[1]).atan2(p[0] - o[0]); + angle(vertices[a]).total_cmp(&angle(vertices[b])) + }); + } + Graph { vertices, around } + } + + /// Every face cycle, as a closed ring with spikes removed. Bounded + /// faces run counter-clockwise, the outer boundary of each connected + /// part clockwise. + fn faces(&self) -> Vec> { + let mut seen: HashSet<(usize, usize)> = HashSet::new(); + let mut faces = Vec::new(); + for (u, list) in self.around.iter().enumerate() { + for &v in list { + if seen.contains(&(u, v)) { + continue; + } + let mut cycle = vec![u]; + let (mut a, mut b) = (u, v); + loop { + seen.insert((a, b)); + let next_list = &self.around[b]; + let Some(idx) = next_list.iter().position(|&x| x == a) else { + break; + }; + let c = next_list[(idx + next_list.len() - 1) % next_list.len()]; + (a, b) = (b, c); + if (a, b) == (u, v) { + break; + } + cycle.push(a); + } + let mut ring: Vec<[f64; 2]> = despike(cycle) + .into_iter() + .map(|i| self.vertices[i]) + .collect(); + if ring.len() >= 3 { + ring.push(ring[0]); + faces.push(ring); + } + } + } + faces + } +} + +/// Remove back-and-forth visits (`a, b, a`) a dangling edge leaves in a +/// cycle. +fn despike(mut cycle: Vec) -> Vec { + let mut changed = true; + while changed && cycle.len() >= 3 { + changed = false; + let n = cycle.len(); + for i in 0..n { + let prev = cycle[(i + n - 1) % n]; + let next = cycle[(i + 1) % n]; + if prev == next { + let (lo, hi) = (i, (i + 1) % n); + if hi > lo { + cycle.drain(lo..=hi); + } else { + cycle.remove(lo); + cycle.remove(0); + } + changed = true; + break; + } + } + } + cycle +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::planar::planar_area; + + fn square() -> Geometry { + Geometry::polygon(vec![vec![ + [0.0, 0.0], + [4.0, 0.0], + [4.0, 4.0], + [0.0, 4.0], + [0.0, 0.0], + ]]) + } + + fn members(g: Geometry) -> Vec { + match g { + Geometry::GeometryCollection { geometries } => geometries, + other => panic!("{other:?}"), + } + } + + #[test] + fn line_splits_a_square_in_two() { + let blade = Geometry::line_string(vec![[2.0, -1.0], [2.0, 5.0]]); + let parts = members(split(&square(), &blade).unwrap()); + assert_eq!(parts.len(), 2, "{parts:?}"); + for p in &parts { + assert!((planar_area(p) - 8.0).abs() < 1e-9, "{p:?}"); + } + } + + #[test] + fn blade_through_a_hole_keeps_the_hole_halves() { + let holed = Geometry::polygon(vec![ + vec![[0.0, 0.0], [4.0, 0.0], [4.0, 4.0], [0.0, 4.0], [0.0, 0.0]], + vec![[1.0, 1.0], [1.0, 3.0], [3.0, 3.0], [3.0, 1.0], [1.0, 1.0]], + ]); + let blade = Geometry::line_string(vec![[2.0, -1.0], [2.0, 5.0]]); + let parts = members(split(&holed, &blade).unwrap()); + assert_eq!(parts.len(), 2); + let total: f64 = parts.iter().map(planar_area).sum(); + assert!((total - 12.0).abs() < 1e-9); + } + + #[test] + fn blade_missing_the_polygon_returns_it_whole() { + let blade = Geometry::line_string(vec![[10.0, 10.0], [11.0, 11.0]]); + let parts = members(split(&square(), &blade).unwrap()); + assert_eq!(parts.len(), 1); + assert!((planar_area(&parts[0]) - 16.0).abs() < 1e-9); + } + + #[test] + fn line_splits_at_points_and_crossings() { + let line = Geometry::line_string(vec![[0.0, 0.0], [10.0, 0.0]]); + let by_point = members(split(&line, &Geometry::point(4.0, 0.0)).unwrap()); + assert_eq!( + by_point, + vec![ + Geometry::line_string(vec![[0.0, 0.0], [4.0, 0.0]]), + Geometry::line_string(vec![[4.0, 0.0], [10.0, 0.0]]), + ] + ); + let cross = Geometry::line_string(vec![[5.0, -1.0], [5.0, 1.0]]); + assert_eq!(members(split(&line, &cross).unwrap()).len(), 2); + } + + #[test] + fn point_input_is_refused() { + assert!(split(&Geometry::point(0.0, 0.0), &square()).is_err()); + } +} diff --git a/nodedb-spatial/src/ops/subdivide.rs b/nodedb-spatial/src/ops/subdivide.rs new file mode 100644 index 000000000..dee04f813 --- /dev/null +++ b/nodedb-spatial/src/ops/subdivide.rs @@ -0,0 +1,157 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_Subdivide(geom, max_vertices)`: cut a geometry along box halves until +//! every piece has at most `max_vertices` vertices. The pieces return as +//! one GEOMETRYCOLLECTION (a scalar function returns one value), each +//! piece a polygon, line or point. Planar in the coordinates. + +use geo::{BooleanOps, LineString, MultiLineString, MultiPolygon, Rect}; +use nodedb_types::BoundingBox; +use nodedb_types::geometry::Geometry; + +use super::convert::{from_geo, rings, to_geo}; + +/// Smallest vertex budget, as PostGIS requires. +pub const MIN_SUBDIVIDE_VERTICES: usize = 5; + +/// Recursion limit: 50 halvings shrink a box below any f64 coordinate +/// step. +const MAX_DEPTH: usize = 50; + +/// Cut `geom` into pieces of at most `max_vertices` vertices. +/// `max_vertices` below [`MIN_SUBDIVIDE_VERTICES`] rises to it. +pub fn subdivide(geom: &Geometry, max_vertices: usize) -> Geometry { + let budget = max_vertices.max(MIN_SUBDIVIDE_VERTICES); + let mut pieces = Vec::new(); + for part in parts(geom) { + split(part, budget, MAX_DEPTH, &mut pieces); + } + Geometry::GeometryCollection { geometries: pieces } +} + +/// Polygons, lines and points of `geom`, one per component. +fn parts(geom: &Geometry) -> Vec { + match geom { + g if g.is_empty() => Vec::new(), + Geometry::MultiPoint { coordinates } => coordinates + .iter() + .map(|c| Geometry::point(c[0], c[1])) + .collect(), + Geometry::MultiLineString { coordinates } => coordinates + .iter() + .map(|l| Geometry::line_string(l.clone())) + .collect(), + Geometry::MultiPolygon { coordinates } => coordinates + .iter() + .map(|p| Geometry::polygon(p.clone())) + .collect(), + Geometry::GeometryCollection { geometries } => geometries.iter().flat_map(parts).collect(), + other => vec![other.clone()], + } +} + +fn split(geom: Geometry, budget: usize, depth: usize, out: &mut Vec) { + if geom.is_empty() { + return; + } + if geom.coord_count() <= budget || depth == 0 { + out.push(geom); + return; + } + let bb = nodedb_types::geometry_bbox_in(&geom, nodedb_types::BboxSpace::Planar); + let (a, b) = halves(&bb); + for half in [a, b] { + for piece in clip(&geom, &half) { + split(piece, budget, depth - 1, out); + } + } +} + +/// The two halves of `bb` across its longer side. +fn halves(bb: &BoundingBox) -> (BoundingBox, BoundingBox) { + if bb.max_lng - bb.min_lng >= bb.max_lat - bb.min_lat { + let mid = (bb.min_lng + bb.max_lng) / 2.0; + ( + BoundingBox::new(bb.min_lng, bb.min_lat, mid, bb.max_lat), + BoundingBox::new(mid, bb.min_lat, bb.max_lng, bb.max_lat), + ) + } else { + let mid = (bb.min_lat + bb.max_lat) / 2.0; + ( + BoundingBox::new(bb.min_lng, bb.min_lat, bb.max_lng, mid), + BoundingBox::new(bb.min_lng, mid, bb.max_lng, bb.max_lat), + ) + } +} + +/// The parts of one component inside `bb`, each a single geometry. +fn clip(geom: &Geometry, bb: &BoundingBox) -> Vec { + let rect = Rect::new( + geo::Coord { + x: bb.min_lng, + y: bb.min_lat, + }, + geo::Coord { + x: bb.max_lng, + y: bb.max_lat, + }, + ) + .to_polygon(); + match to_geo(geom) { + geo::Geometry::Polygon(p) => MultiPolygon::new(vec![p]) + .intersection(&rect) + .0 + .iter() + .map(|p| Geometry::polygon(rings(p))) + .collect(), + geo::Geometry::LineString(l) => { + let lines: MultiLineString = MultiLineString::new(vec![l]); + rect.clip(&lines, false) + .0 + .iter() + .map(|l: &LineString| from_geo(&geo::Geometry::LineString(l.clone()))) + .collect() + } + // A point never exceeds the budget, so it is never cut. + _ => vec![geom.clone()], + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::planar::planar_area; + + fn circle(n: usize) -> Geometry { + let ring: Vec<[f64; 2]> = (0..=n) + .map(|i| { + let a = std::f64::consts::TAU * (i % n) as f64 / n as f64; + [a.cos() * 10.0, a.sin() * 10.0] + }) + .collect(); + Geometry::polygon(vec![ring]) + } + + #[test] + fn pieces_respect_the_budget_and_keep_the_area() { + let c = circle(200); + let out = subdivide(&c, 32); + let Geometry::GeometryCollection { geometries } = &out else { + panic!(); + }; + assert!(geometries.len() > 1); + assert!(geometries.iter().all(|g| g.coord_count() <= 32)); + assert!((planar_area(&out) - planar_area(&c)).abs() < 1e-6); + } + + #[test] + fn small_geometry_is_one_piece() { + let out = subdivide(&Geometry::point(1.0, 2.0), 256); + assert_eq!( + out, + Geometry::GeometryCollection { + geometries: vec![Geometry::point(1.0, 2.0)] + } + ); + } +} diff --git a/nodedb-spatial/src/ops/tile.rs b/nodedb-spatial/src/ops/tile.rs new file mode 100644 index 000000000..fbe46c214 --- /dev/null +++ b/nodedb-spatial/src/ops/tile.rs @@ -0,0 +1,153 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `ST_TileEnvelope` and `ST_ShiftLongitude`. + +use nodedb_types::BoundingBox; +use nodedb_types::geometry::{Geometry, SridGeometry}; + +/// Half the side of the EPSG:3857 square, metres: π × 6378137. +pub const WEB_MERCATOR_HALF_SIDE: f64 = 20_037_508.342_789_244; + +/// Largest zoom `ST_TileEnvelope` accepts, as PostGIS limits it. +pub const MAX_TILE_ZOOM: u32 = 31; + +/// Why a tile address is out of range. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +pub enum TileError { + #[error("tile zoom {zoom} is outside 0..={max}", max = MAX_TILE_ZOOM)] + Zoom { zoom: i64 }, + #[error("tile column {x} is outside 0..{count} at zoom {zoom}")] + Column { x: i64, zoom: u32, count: u64 }, + #[error("tile row {y} is outside 0..{count} at zoom {zoom}")] + Row { y: i64, zoom: u32, count: u64 }, + #[error("tile bounds have zero or negative extent")] + Bounds, +} + +/// The square EPSG:3857 bounds `ST_TileEnvelope` divides by default. +pub fn web_mercator_bounds() -> BoundingBox { + BoundingBox::new( + -WEB_MERCATOR_HALF_SIDE, + -WEB_MERCATOR_HALF_SIDE, + WEB_MERCATOR_HALF_SIDE, + WEB_MERCATOR_HALF_SIDE, + ) +} + +/// `ST_TileEnvelope(z, x, y [, bounds])`: the polygon of tile (`x`, `y`) +/// at zoom `z` of the XYZ scheme over `bounds`. Row 0 is the top (north) +/// row. +pub fn tile_envelope(z: i64, x: i64, y: i64, bounds: &BoundingBox) -> Result { + let zoom = u32::try_from(z) + .ok() + .filter(|z| *z <= MAX_TILE_ZOOM) + .ok_or(TileError::Zoom { zoom: z })?; + let count = 1u64 << zoom; + let in_range = |v: i64| u64::try_from(v).is_ok_and(|v| v < count); + if !in_range(x) { + return Err(TileError::Column { x, zoom, count }); + } + if !in_range(y) { + return Err(TileError::Row { y, zoom, count }); + } + let width = bounds.max_lng - bounds.min_lng; + let height = bounds.max_lat - bounds.min_lat; + if !(width > 0.0 && height > 0.0) { + return Err(TileError::Bounds); + } + let n = count as f64; + let (tw, th) = (width / n, height / n); + let min_x = bounds.min_lng + x as f64 * tw; + let max_y = bounds.max_lat - y as f64 * th; + let (max_x, min_y) = (min_x + tw, max_y - th); + Ok(Geometry::polygon(vec![vec![ + [min_x, min_y], + [min_x, max_y], + [max_x, max_y], + [max_x, min_y], + [min_x, min_y], + ]])) +} + +/// `ST_ShiftLongitude(geom)`: longitudes below 0 gain 360°, longitudes +/// above 180° lose 360°, so a geometry across the antimeridian reads in +/// 0..360 and back. Z and M are kept. +pub fn shift_longitude(g: &SridGeometry) -> SridGeometry { + let shifted: Result = g.try_map_positions(|mut p| { + if p.x < 0.0 { + p.x += 360.0; + } else if p.x > 180.0 { + p.x -= 360.0; + } + Ok(p) + }); + match shifted { + Ok(g) => g, + Err(never) => match never {}, + } +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::Srid; + + #[test] + fn zoom_zero_is_the_whole_square() { + let g = tile_envelope(0, 0, 0, &web_mercator_bounds()).unwrap(); + let Geometry::Polygon { coordinates } = g else { + panic!(); + }; + assert_eq!( + coordinates[0][0], + [-WEB_MERCATOR_HALF_SIDE, -WEB_MERCATOR_HALF_SIDE] + ); + assert_eq!( + coordinates[0][2], + [WEB_MERCATOR_HALF_SIDE, WEB_MERCATOR_HALF_SIDE] + ); + } + + /// PostGIS: ST_TileEnvelope(2, 1, 1) is + /// POLYGON((-10018754.17 0,-10018754.17 10018754.17,0 10018754.17,0 0,-10018754.17 0)). + #[test] + fn zoom_two_tile_matches_postgis() { + let g = tile_envelope(2, 1, 1, &web_mercator_bounds()).unwrap(); + let Geometry::Polygon { coordinates } = g else { + panic!(); + }; + let half = WEB_MERCATOR_HALF_SIDE / 2.0; + assert_eq!(coordinates[0][0], [-half, 0.0]); + assert_eq!(coordinates[0][2], [0.0, half]); + } + + #[test] + fn out_of_range_addresses_fail() { + let b = web_mercator_bounds(); + assert!(matches!( + tile_envelope(32, 0, 0, &b), + Err(TileError::Zoom { .. }) + )); + assert!(matches!( + tile_envelope(1, 2, 0, &b), + Err(TileError::Column { .. }) + )); + assert!(matches!( + tile_envelope(1, 0, -1, &b), + Err(TileError::Row { .. }) + )); + } + + #[test] + fn shift_longitude_wraps_both_ways() { + let g = SridGeometry::new( + Srid::WGS84, + Geometry::line_string(vec![[-179.0, 0.0], [179.0, 0.0], [181.0, 1.0]]), + ); + let s = shift_longitude(&g); + assert_eq!( + s.geometry(), + &Geometry::line_string(vec![[181.0, 0.0], [179.0, 0.0], [-179.0, 1.0]]) + ); + } +} diff --git a/nodedb-spatial/src/orient.rs b/nodedb-spatial/src/orient.rs index 6e284a95e..84c8699ac 100644 --- a/nodedb-spatial/src/orient.rs +++ b/nodedb-spatial/src/orient.rs @@ -9,7 +9,7 @@ use nodedb_types::geometry::Geometry; -use crate::validate::signed_area; +use crate::planar::area::signed_area; /// Reverse every ring of `geom` that breaks the right-hand rule. Polygons /// nested in a `MultiPolygon` or `GeometryCollection` are oriented too. @@ -40,7 +40,21 @@ fn orient_polygon(rings: &mut [Vec<[f64; 2]>]) { #[cfg(test)] mod tests { use super::*; - use crate::validate::validate_geometry; + + /// Whether every shell runs counter-clockwise and every hole clockwise. + fn right_handed(geom: &Geometry) -> bool { + let polygon_ok = |rings: &Vec>| { + rings.iter().enumerate().all(|(i, r)| { + let a = signed_area(r); + if i == 0 { a > 0.0 } else { a < 0.0 } + }) + }; + match geom { + Geometry::Polygon { coordinates } => polygon_ok(coordinates), + Geometry::MultiPolygon { coordinates } => coordinates.iter().all(polygon_ok), + _ => true, + } + } fn square(clockwise: bool, lo: f64, hi: f64) -> Vec<[f64; 2]> { let mut ring = vec![[lo, lo], [hi, lo], [hi, hi], [lo, hi], [lo, lo]]; @@ -51,11 +65,11 @@ mod tests { } #[test] - fn clockwise_exterior_and_ccw_hole_become_valid() { + fn clockwise_exterior_and_ccw_hole_are_reversed() { let mut geom = Geometry::polygon(vec![square(true, 0.0, 10.0), square(false, 2.0, 4.0)]); - assert!(!validate_geometry(&geom).is_empty()); + assert!(!right_handed(&geom)); orient_rings(&mut geom); - assert!(validate_geometry(&geom).is_empty(), "{geom:?}"); + assert!(right_handed(&geom), "{geom:?}"); } #[test] @@ -72,6 +86,6 @@ mod tests { coordinates: vec![vec![square(true, 0.0, 1.0)], vec![square(false, 5.0, 6.0)]], }; orient_rings(&mut geom); - assert!(validate_geometry(&geom).is_empty(), "{geom:?}"); + assert!(right_handed(&geom), "{geom:?}"); } } diff --git a/nodedb-spatial/src/parts.rs b/nodedb-spatial/src/parts.rs new file mode 100644 index 000000000..fb2f45f57 --- /dev/null +++ b/nodedb-spatial/src/parts.rs @@ -0,0 +1,92 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A geometry broken into the pieces distance algorithms measure between: +//! edges, vertices and polygons. An EMPTY geometry has no pieces. + +use nodedb_types::geometry::{Geometry, point_in_polygon}; + +use crate::predicates::edge::{point_on_ring_boundary, ring_edges}; + +/// The pieces of a geometry a distance is measured between. +#[derive(Default)] +pub(crate) struct Parts<'a> { + /// Every edge, with a lone point as a zero-length edge. + pub(crate) segments: Vec<([f64; 2], [f64; 2])>, + /// Every vertex. + pub(crate) vertices: Vec<[f64; 2]>, + /// Every polygon, as its rings. + pub(crate) polygons: Vec<&'a [Vec<[f64; 2]>]>, +} + +impl<'a> Parts<'a> { + pub(crate) fn of(geom: &'a Geometry) -> Self { + let mut parts = Parts::default(); + parts.add(geom); + parts + } + + fn add(&mut self, geom: &'a Geometry) { + match geom { + Geometry::Point { .. } if geom.is_empty() => {} + Geometry::Point { coordinates } => self.add_point(*coordinates), + Geometry::MultiPoint { coordinates } => { + coordinates.iter().for_each(|c| self.add_point(*c)); + } + Geometry::LineString { coordinates } => self.add_path(coordinates), + Geometry::MultiLineString { coordinates } => { + coordinates.iter().for_each(|line| self.add_path(line)); + } + Geometry::Polygon { coordinates } => self.add_polygon(coordinates), + Geometry::MultiPolygon { coordinates } => { + coordinates.iter().for_each(|rings| self.add_polygon(rings)); + } + Geometry::GeometryCollection { geometries } => { + geometries.iter().for_each(|g| self.add(g)); + } + } + } + + fn add_point(&mut self, c: [f64; 2]) { + self.segments.push((c, c)); + self.vertices.push(c); + } + + fn add_path(&mut self, path: &[[f64; 2]]) { + match path { + [] => {} + [only] => self.add_point(*only), + _ => { + self.segments.extend(path.windows(2).map(|w| (w[0], w[1]))); + self.vertices.extend_from_slice(path); + } + } + } + + fn add_polygon(&mut self, rings: &'a [Vec<[f64; 2]>]) { + for ring in rings { + self.segments.extend(ring_edges(ring)); + self.vertices.extend_from_slice(ring); + } + self.polygons.push(rings); + } + + /// Whether any polygon of `self` covers any vertex of `other`. + pub(crate) fn covers_any_vertex_of(&self, other: &Parts<'_>) -> bool { + self.polygons + .iter() + .any(|rings| other.vertices.iter().any(|v| polygon_covers(rings, *v))) + } +} + +/// Whether `pt` lies inside or on a polygon, outside every hole interior. +pub(crate) fn polygon_covers(rings: &[Vec<[f64; 2]>], pt: [f64; 2]) -> bool { + let Some(exterior) = rings.first() else { + return false; + }; + if !point_in_polygon(pt[0], pt[1], exterior) && !point_on_ring_boundary(pt, exterior) { + return false; + } + !rings[1..] + .iter() + .any(|hole| point_in_polygon(pt[0], pt[1], hole) && !point_on_ring_boundary(pt, hole)) +} diff --git a/nodedb-spatial/src/persist.rs b/nodedb-spatial/src/persist.rs index af7cfcb82..75c42adba 100644 --- a/nodedb-spatial/src/persist.rs +++ b/nodedb-spatial/src/persist.rs @@ -22,13 +22,14 @@ //! - `{collection}\x00{field}\x00rtree` → serialized R-tree entries //! - `{collection}\x00{field}\x00meta` → SpatialIndexMeta +use nodedb_crs::InvalidSridCode; use nodedb_mem::ScopedMemory; -use nodedb_types::BoundingBox; -use nodedb_types::geometry::{Srid, UnsupportedSrid}; +use nodedb_types::geometry::Srid; +use nodedb_types::{BboxSpace, BoundingBox}; use serde::{Deserialize, Serialize}; use zerompk::{FromMessagePack, ToMessagePack}; -use crate::rtree::{RTree, RTreeEntry}; +use crate::rtree::{RTree, RTreeEntry, TreeSrid}; // ── SEGV framing constants ───────────────────────────────────────────────── // @@ -44,9 +45,9 @@ const SEGV_MAGIC: [u8; 4] = *b"SEGV"; /// Magic header for rkyv-serialized R-tree snapshots (6 bytes). const RTREE_RKYV_MAGIC: &[u8; 6] = b"RKSPT\0"; -/// Current format version for rkyv-serialized R-tree snapshots. Version 2 -/// carries the tree's SRID. -pub const RTREE_FORMAT_VERSION: u8 = 2; +/// Current format version for rkyv-serialized R-tree snapshots. Version 3 +/// carries the tree's SRID and bbox space. +pub const RTREE_FORMAT_VERSION: u8 = 3; // ── SEGV framing helpers ─────────────────────────────────────────────────── @@ -133,8 +134,11 @@ impl std::fmt::Display for SpatialIndexType { /// rkyv-serialized R-tree snapshot. #[derive(rkyv::Archive, rkyv::Serialize, rkyv::Deserialize)] struct RTreeSnapshotRkyv { - /// EPSG code of the tree's SRID. + /// Code of the tree's SRID. srid: u32, + /// Whether the tree's bbox space is planar. A restore reads the space + /// from here, so it never resolves the SRID against a CRS registry. + planar: bool, entries: Vec, } @@ -152,6 +156,7 @@ impl RTree { ) -> Result, RTreeCheckpointError> { let snapshot = RTreeSnapshotRkyv { srid: self.srid().code(), + planar: self.space() == BboxSpace::Planar, entries: self.entries().into_iter().cloned().collect(), }; let rkyv_bytes = rkyv::to_bytes::(&snapshot) @@ -226,7 +231,15 @@ impl RTree { let snapshot: RTreeSnapshotRkyv = rkyv::from_bytes::(&aligned) .map_err(|e| RTreeCheckpointError::RkyvDeserialize(e.to_string()))?; - let srid = Srid::try_from(snapshot.srid)?; + // The SRID is checked for syntax only. + let srid = TreeSrid { + srid: Srid::new(snapshot.srid)?, + space: if snapshot.planar { + BboxSpace::Planar + } else { + BboxSpace::Geographic + }, + }; Ok(RTree::bulk_load(snapshot.entries, memory, srid)) } } @@ -305,9 +318,9 @@ pub enum RTreeCheckpointError { /// AES-256-GCM decryption failed. #[error("spatial checkpoint decryption failed: {0}")] DecryptionFailed(String), - /// The checkpoint names an SRID outside the supported set. + /// The checkpoint names an SRID code outside the valid range. #[error("R-tree checkpoint: {0}")] - UnsupportedSrid(#[from] UnsupportedSrid), + InvalidSrid(#[from] InvalidSridCode), } // ── Tests ────────────────────────────────────────────────────────────────── @@ -315,7 +328,7 @@ pub enum RTreeCheckpointError { #[cfg(test)] mod tests { use super::*; - use crate::test_support::test_memory; + use crate::test_support::{planar_srid, test_memory}; fn make_entry(id: u64, lng: f64, lat: f64) -> RTreeEntry { RTreeEntry { @@ -326,7 +339,7 @@ mod tests { #[test] fn checkpoint_roundtrip_empty() { - let tree = RTree::new(test_memory(), Srid::Wgs84); + let tree = RTree::new(test_memory(), TreeSrid::WGS84); let bytes = tree.checkpoint_to_bytes(None).unwrap(); let restored = RTree::from_checkpoint(&bytes, None, test_memory()).unwrap(); assert_eq!(restored.len(), 0); @@ -334,7 +347,7 @@ mod tests { #[test] fn checkpoint_roundtrip_entries() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..100 { tree.insert(make_entry(i, (i as f64) * 0.5, (i as f64) * 0.3)); } @@ -351,7 +364,7 @@ mod tests { #[test] fn checkpoint_preserves_ids() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(42, 10.0, 20.0)); tree.insert(make_entry(99, 30.0, 40.0)); @@ -379,23 +392,23 @@ mod tests { index_type: SpatialIndexType::RTree, entry_count: 1000, extent: Some(BoundingBox::new(-180.0, -90.0, 180.0, 90.0)), - srid: Srid::PeninsularRso, + srid: Srid::new(3375).unwrap(), }; let bytes = serialize_meta(&meta).unwrap(); let restored = deserialize_meta(&bytes).unwrap(); assert_eq!(restored.collection, "buildings"); assert_eq!(restored.entry_count, 1000); assert_eq!(restored.index_type, SpatialIndexType::RTree); - assert_eq!(restored.srid, Srid::PeninsularRso); + assert_eq!(restored.srid, Srid::new(3375).unwrap()); } #[test] fn checkpoint_preserves_srid() { - let mut tree = RTree::new(test_memory(), Srid::BorneoRso); + let mut tree = RTree::new(test_memory(), planar_srid(3376)); tree.insert(make_entry(7, 708_697.0, 662_326.0)); let bytes = tree.checkpoint_to_bytes(None).unwrap(); let restored = RTree::from_checkpoint(&bytes, None, test_memory()).unwrap(); - assert_eq!(restored.srid(), Srid::BorneoRso); + assert_eq!(restored.tree_srid(), planar_srid(3376)); assert_eq!(restored.len(), 1); } @@ -410,7 +423,7 @@ mod tests { #[test] fn checkpoint_size_reasonable() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..1000 { tree.insert(make_entry(i, (i as f64) * 0.01, (i as f64) * 0.01)); } @@ -431,7 +444,7 @@ mod tests { #[test] fn golden_header_layout() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 10.0, 20.0)); let bytes = tree.checkpoint_to_bytes(None).unwrap(); // Magic at bytes[0..6]. @@ -444,7 +457,7 @@ mod tests { #[test] fn version_mismatch_returns_error() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 10.0, 20.0)); let mut bytes = tree.checkpoint_to_bytes(None).unwrap(); // Corrupt the version byte to an unsupported value. @@ -466,7 +479,7 @@ mod tests { #[test] fn spatial_rtree_checkpoint_encrypted_at_rest() { let kek = make_test_kek(); - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..50 { tree.insert(make_entry(i, i as f64, i as f64 * 0.5)); } @@ -486,7 +499,7 @@ mod tests { #[test] fn spatial_rtree_refuses_plaintext_when_kek_required() { let kek = make_test_kek(); - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 10.0, 20.0)); // Write plaintext checkpoint. @@ -502,7 +515,7 @@ mod tests { #[test] fn spatial_rtree_refuses_encrypted_without_kek() { let kek = make_test_kek(); - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 10.0, 20.0)); let enc_bytes = tree.checkpoint_to_bytes(Some(&kek)).unwrap(); @@ -517,7 +530,7 @@ mod tests { #[test] fn spatial_rtree_tampered_ciphertext_rejected() { let kek = make_test_kek(); - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 10.0, 20.0)); let mut enc_bytes = tree.checkpoint_to_bytes(Some(&kek)).unwrap(); diff --git a/nodedb-spatial/src/planar/area.rs b/nodedb-spatial/src/planar/area.rs index 286c8b8f4..21b793fc9 100644 --- a/nodedb-spatial/src/planar/area.rs +++ b/nodedb-spatial/src/planar/area.rs @@ -4,13 +4,14 @@ use nodedb_types::geometry::Geometry; -/// Unsigned area of one ring by the shoelace formula. A ring with fewer than -/// three vertices encloses nothing. An unclosed ring is closed implicitly. +/// Signed area of one ring by the shoelace formula, positive +/// counter-clockwise. A ring with fewer than three vertices encloses +/// nothing. An unclosed ring is closed implicitly. /// /// Coordinates are taken relative to the first vertex. Projected eastings and /// northings run to hundreds of kilometres, and summing their raw cross /// products cancels away the digits a small ring's area lives in. -pub fn planar_ring_area(ring: &[[f64; 2]]) -> f64 { +pub fn signed_area(ring: &[[f64; 2]]) -> f64 { if ring.len() < 3 { return 0.0; } @@ -22,7 +23,12 @@ pub fn planar_ring_area(ring: &[[f64; 2]]) -> f64 { let b = rel(ring[(i + 1) % ring.len()]); twice += a[0] * b[1] - b[0] * a[1]; } - (twice / 2.0).abs() + twice / 2.0 +} + +/// Unsigned area of one ring by the shoelace formula. +pub fn planar_ring_area(ring: &[[f64; 2]]) -> f64 { + signed_area(ring).abs() } /// Area of one polygon: exterior ring less every hole, never negative. @@ -51,9 +57,6 @@ pub fn planar_area(geom: &Geometry) -> f64 { | Geometry::LineString { .. } | Geometry::MultiPoint { .. } | Geometry::MultiLineString { .. } => 0.0, - // `Geometry` is `#[non_exhaustive]`. A kind added upstream is not - // known to be areal. - _ => 0.0, } } diff --git a/nodedb-spatial/src/planar/buffer.rs b/nodedb-spatial/src/planar/buffer.rs deleted file mode 100644 index d3f2e2474..000000000 --- a/nodedb-spatial/src/planar/buffer.rs +++ /dev/null @@ -1,37 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Planar buffer of projected geometries, by a distance in metres. - -use nodedb_types::BboxSpace; -use nodedb_types::geometry::Geometry; - -use crate::operations::st_buffer_in; - -/// Buffer `geom` by `distance` coordinate units (metres for a projected -/// SRID), approximating curves with `segments` sides. -/// -/// Uses the same construction as the geographic `st_buffer`, with metres -/// added to coordinates directly instead of converted to degrees. -pub fn planar_buffer(geom: &Geometry, distance: f64, segments: usize) -> Geometry { - st_buffer_in(geom, distance, segments, BboxSpace::Planar) -} - -#[cfg(test)] -mod tests { - use super::*; - use crate::planar::area::planar_area; - - #[test] - fn buffered_point_area_approaches_circle() { - let segments = 64; - let circle = planar_buffer(&Geometry::point(500_000.0, 200_000.0), 100.0, segments); - let area = planar_area(&circle); - // A regular n-gon inscribed in radius r has area n r² sin(2π/n) / 2. - let n = segments as f64; - let expected = n * 100.0 * 100.0 * (std::f64::consts::TAU / n).sin() / 2.0; - assert!( - (area - expected).abs() < 1e-6, - "area={area} expected={expected}" - ); - } -} diff --git a/nodedb-spatial/src/planar/distance.rs b/nodedb-spatial/src/planar/distance.rs index e3ea7cfda..72e9ba76d 100644 --- a/nodedb-spatial/src/planar/distance.rs +++ b/nodedb-spatial/src/planar/distance.rs @@ -5,96 +5,11 @@ //! Every measure is Euclidean in coordinate units, which for a projected SRID //! are metres on the grid. -use nodedb_types::geometry::{Geometry, point_in_polygon}; -use nodedb_types::{BboxSpace, geometry_bbox_in}; +use nodedb_types::geometry::Geometry; +use nodedb_types::{BboxSpace, BoundingBox, geometry_bbox_in}; -use crate::predicates::edge::{point_on_ring_boundary, ring_edges, segment_to_segment_dist_sq}; - -/// The pieces of a geometry a distance is measured between. -#[derive(Default)] -struct Parts<'a> { - /// Every edge, with a lone point as a zero-length edge. - segments: Vec<([f64; 2], [f64; 2])>, - /// Every vertex. - vertices: Vec<[f64; 2]>, - /// Every polygon, as its rings. - polygons: Vec<&'a [Vec<[f64; 2]>]>, -} - -impl<'a> Parts<'a> { - fn of(geom: &'a Geometry) -> Self { - let mut parts = Parts::default(); - parts.add(geom); - parts - } - - fn add(&mut self, geom: &'a Geometry) { - match geom { - Geometry::Point { coordinates } => self.add_point(*coordinates), - Geometry::MultiPoint { coordinates } => { - coordinates.iter().for_each(|c| self.add_point(*c)); - } - Geometry::LineString { coordinates } => self.add_path(coordinates), - Geometry::MultiLineString { coordinates } => { - coordinates.iter().for_each(|line| self.add_path(line)); - } - Geometry::Polygon { coordinates } => self.add_polygon(coordinates), - Geometry::MultiPolygon { coordinates } => { - coordinates.iter().for_each(|rings| self.add_polygon(rings)); - } - Geometry::GeometryCollection { geometries } => { - geometries.iter().for_each(|g| self.add(g)); - } - // `Geometry` is `#[non_exhaustive]`; a kind added upstream exposes - // no coordinates this crate can read. - _ => {} - } - } - - fn add_point(&mut self, c: [f64; 2]) { - self.segments.push((c, c)); - self.vertices.push(c); - } - - fn add_path(&mut self, path: &[[f64; 2]]) { - match path { - [] => {} - [only] => self.add_point(*only), - _ => { - self.segments.extend(path.windows(2).map(|w| (w[0], w[1]))); - self.vertices.extend_from_slice(path); - } - } - } - - fn add_polygon(&mut self, rings: &'a [Vec<[f64; 2]>]) { - for ring in rings { - self.segments.extend(ring_edges(ring)); - self.vertices.extend_from_slice(ring); - } - self.polygons.push(rings); - } - - /// Whether any polygon of `self` covers any vertex of `other`. - fn covers_any_vertex_of(&self, other: &Parts<'_>) -> bool { - self.polygons - .iter() - .any(|rings| other.vertices.iter().any(|v| polygon_covers(rings, *v))) - } -} - -/// Whether `pt` lies inside or on a polygon, outside every hole interior. -fn polygon_covers(rings: &[Vec<[f64; 2]>], pt: [f64; 2]) -> bool { - let Some(exterior) = rings.first() else { - return false; - }; - if !point_in_polygon(pt[0], pt[1], exterior) && !point_on_ring_boundary(pt, exterior) { - return false; - } - !rings[1..] - .iter() - .any(|hole| point_in_polygon(pt[0], pt[1], hole) && !point_on_ring_boundary(pt, hole)) -} +use crate::parts::Parts; +use crate::predicates::edge::{ring_edges, segment_to_segment_dist_sq}; /// Minimum Euclidean distance between two geometries, in coordinate units. /// @@ -121,7 +36,13 @@ pub fn planar_distance(a: &Geometry, b: &Geometry) -> f64 { /// A planar bbox pre-filter rejects clearly distant pairs before the exact /// distance runs. pub fn planar_dwithin(a: &Geometry, b: &Geometry, distance: f64) -> bool { - let a_bb = geometry_bbox_in(a, BboxSpace::Planar).expand_meters_in(distance, BboxSpace::Planar); + let bb = geometry_bbox_in(a, BboxSpace::Planar); + let a_bb = BoundingBox::new( + bb.min_lng - distance, + bb.min_lat - distance, + bb.max_lng + distance, + bb.max_lat + distance, + ); let b_bb = geometry_bbox_in(b, BboxSpace::Planar); if !a_bb.intersects(&b_bb) { return false; @@ -155,9 +76,6 @@ pub fn planar_length(geom: &Geometry) -> f64 { | Geometry::MultiPoint { .. } | Geometry::Polygon { .. } | Geometry::MultiPolygon { .. } => 0.0, - // `Geometry` is `#[non_exhaustive]`; a kind added upstream is not - // known to be linear. - _ => 0.0, } } @@ -181,9 +99,6 @@ pub fn planar_perimeter(geom: &Geometry) -> f64 { | Geometry::MultiPoint { .. } | Geometry::LineString { .. } | Geometry::MultiLineString { .. } => 0.0, - // `Geometry` is `#[non_exhaustive]`; a kind added upstream is not - // known to be areal. - _ => 0.0, } } diff --git a/nodedb-spatial/src/planar/mod.rs b/nodedb-spatial/src/planar/mod.rs index 13d0d1848..45d3cc469 100644 --- a/nodedb-spatial/src/planar/mod.rs +++ b/nodedb-spatial/src/planar/mod.rs @@ -1,11 +1,10 @@ // SPDX-License-Identifier: Apache-2.0 -//! Euclidean measures for geometries in a projected SRID, in metres. +//! Euclidean measures for geometries in a projected SRID, in coordinate +//! units. pub mod area; -pub mod buffer; pub mod distance; pub use area::{planar_area, planar_ring_area}; -pub use buffer::planar_buffer; pub use distance::{planar_distance, planar_dwithin, planar_length, planar_perimeter}; diff --git a/nodedb-spatial/src/predicates/contains.rs b/nodedb-spatial/src/predicates/contains.rs index 61ab25407..c1d387dbc 100644 --- a/nodedb-spatial/src/predicates/contains.rs +++ b/nodedb-spatial/src/predicates/contains.rs @@ -16,8 +16,12 @@ use super::edge::{is_collection, point_on_ring_boundary, ring_edges}; /// ST_Contains(a, b) — does geometry A fully contain geometry B? /// /// Returns false if any part of B lies outside A, or if B only touches -/// A's boundary without entering its interior. +/// A's boundary without entering its interior. EMPTY contains nothing and +/// is contained by nothing. pub fn st_contains(a: &Geometry, b: &Geometry) -> bool { + if a.is_empty() || b.is_empty() { + return false; + } // Fast path: bbox pre-filter. A GeometryCollection skips it: its bbox is // a union whose wrap rule depends on the SRID, and the arms below test // each member on its own. diff --git a/nodedb-spatial/src/predicates/distance.rs b/nodedb-spatial/src/predicates/distance.rs index 2fd827b7e..aef1830aa 100644 --- a/nodedb-spatial/src/predicates/distance.rs +++ b/nodedb-spatial/src/predicates/distance.rs @@ -1,282 +1,23 @@ // SPDX-License-Identifier: Apache-2.0 -//! ST_Distance and ST_DWithin — minimum distance between geometries. -//! -//! Point-to-point uses haversine (great-circle distance in meters). -//! All other combinations use planar geometry to find the nearest -//! segment pair, then convert the coordinate-space result to meters -//! using equirectangular approximation. -//! -//! ST_DWithin uses bbox expansion as a fast pre-filter: expand query -//! geometry's bbox by the distance threshold, check intersection first. +//! `ST_Distance` and `ST_DWithin` on WGS 84 longitude / latitude, geodesic +//! on the WGS 84 ellipsoid. Callers that know the CRS use +//! [`crate::metric::Metric`] for its own ellipsoid or unit. -use nodedb_types::geometry::{Geometry, haversine_distance, point_in_polygon}; -use nodedb_types::geometry_bbox; +use nodedb_types::geometry::Geometry; -use super::edge::{point_on_ring_boundary, ring_edges, segment_to_segment_dist_sq}; +use crate::metric::Metric; -/// ST_Distance(a, b) — minimum distance in meters between two geometries. -/// -/// Point-to-point: haversine (exact great-circle). -/// All others: find minimum coordinate-space distance, convert to meters. +/// Minimum geodesic distance in metres between two WGS 84 geometries. +/// Infinite when either is EMPTY. pub fn st_distance(a: &Geometry, b: &Geometry) -> f64 { - match (a, b) { - // Point–Point: haversine (exact). - (Geometry::Point { coordinates: ca }, Geometry::Point { coordinates: cb }) => { - haversine_distance(ca[0], ca[1], cb[0], cb[1]) - } - - // Point–LineString or reverse. - (Geometry::Point { coordinates: pt }, Geometry::LineString { coordinates: line }) - | (Geometry::LineString { coordinates: line }, Geometry::Point { coordinates: pt }) => { - point_to_linestring_distance(*pt, line) - } - - // Point–Polygon or reverse. - (Geometry::Point { coordinates: pt }, Geometry::Polygon { coordinates: rings }) - | (Geometry::Polygon { coordinates: rings }, Geometry::Point { coordinates: pt }) => { - point_to_polygon_distance(*pt, rings) - } - - // LineString–LineString. - (Geometry::LineString { coordinates: la }, Geometry::LineString { coordinates: lb }) => { - linestring_to_linestring_distance(la, lb) - } - - // LineString–Polygon or reverse. - (Geometry::LineString { coordinates: line }, Geometry::Polygon { coordinates: rings }) - | (Geometry::Polygon { coordinates: rings }, Geometry::LineString { coordinates: line }) => { - linestring_to_polygon_distance(line, rings) - } - - // Polygon–Polygon. - (Geometry::Polygon { coordinates: ra }, Geometry::Polygon { coordinates: rb }) => { - polygon_to_polygon_distance(ra, rb) - } - - // Multi* types: minimum distance among all component pairs. - (Geometry::MultiPoint { coordinates }, other) - | (other, Geometry::MultiPoint { coordinates }) => coordinates - .iter() - .map(|pt| st_distance(&Geometry::Point { coordinates: *pt }, other)) - .fold(f64::INFINITY, f64::min), - - (Geometry::MultiLineString { coordinates }, other) - | (other, Geometry::MultiLineString { coordinates }) => coordinates - .iter() - .map(|ls| { - st_distance( - &Geometry::LineString { - coordinates: ls.clone(), - }, - other, - ) - }) - .fold(f64::INFINITY, f64::min), - - (Geometry::MultiPolygon { coordinates }, other) - | (other, Geometry::MultiPolygon { coordinates }) => coordinates - .iter() - .map(|poly| { - st_distance( - &Geometry::Polygon { - coordinates: poly.clone(), - }, - other, - ) - }) - .fold(f64::INFINITY, f64::min), - - (Geometry::GeometryCollection { geometries }, other) - | (other, Geometry::GeometryCollection { geometries }) => geometries - .iter() - .map(|g| st_distance(g, other)) - .fold(f64::INFINITY, f64::min), - - // Unknown future geometry types — treat as infinite distance. - (&_, &_) => f64::INFINITY, - } + Metric::wgs84().distance(a, b) } -/// ST_DWithin(a, b, distance_meters) — are A and B within the given distance? -/// -/// Optimized: uses bbox expansion pre-filter to avoid expensive exact -/// distance computation when geometries are clearly far apart. +/// Whether two WGS 84 geometries lie within `distance_meters` of each +/// other, geodesic. pub fn st_dwithin(a: &Geometry, b: &Geometry, distance_meters: f64) -> bool { - // Fast path for points: just haversine. - if let (Geometry::Point { coordinates: ca }, Geometry::Point { coordinates: cb }) = (a, b) { - return haversine_distance(ca[0], ca[1], cb[0], cb[1]) <= distance_meters; - } - - // Bbox pre-filter: expand A's bbox by distance, check if B's bbox intersects. - let a_bb = geometry_bbox(a).expand_meters(distance_meters); - let b_bb = geometry_bbox(b); - if !a_bb.intersects(&b_bb) { - return false; - } - - // Exact check. - st_distance(a, b) <= distance_meters -} - -// ── Distance helpers ── - -/// Point to linestring: minimum haversine distance to any segment. -fn point_to_linestring_distance(pt: [f64; 2], line: &[[f64; 2]]) -> f64 { - if line.is_empty() { - return f64::INFINITY; - } - if line.len() == 1 { - return haversine_distance(pt[0], pt[1], line[0][0], line[0][1]); - } - - let mut min_dist = f64::INFINITY; - for i in 0..line.len() - 1 { - let d = point_to_segment_meters(pt, line[i], line[i + 1]); - min_dist = min_dist.min(d); - } - min_dist -} - -/// Point to polygon: 0 if inside, otherwise min distance to any edge. -fn point_to_polygon_distance(pt: [f64; 2], rings: &[Vec<[f64; 2]>]) -> f64 { - let Some(exterior) = rings.first() else { - return f64::INFINITY; - }; - - // Inside exterior (and not in a hole) → distance 0. - if point_in_polygon(pt[0], pt[1], exterior) || point_on_ring_boundary(pt, exterior) { - let in_hole = rings[1..] - .iter() - .any(|hole| point_in_polygon(pt[0], pt[1], hole) && !point_on_ring_boundary(pt, hole)); - if !in_hole { - return 0.0; - } - } - - // Distance to nearest edge of all rings. - let mut min_dist = f64::INFINITY; - for ring in rings { - for i in 0..ring.len().saturating_sub(1) { - let d = point_to_segment_meters(pt, ring[i], ring[i + 1]); - min_dist = min_dist.min(d); - } - } - min_dist -} - -fn linestring_to_linestring_distance(la: &[[f64; 2]], lb: &[[f64; 2]]) -> f64 { - let mut min_dist = f64::INFINITY; - for i in 0..la.len().saturating_sub(1) { - for j in 0..lb.len().saturating_sub(1) { - let d_sq = segment_to_segment_dist_sq(la[i], la[i + 1], lb[j], lb[j + 1]); - if d_sq < 1e-20 { - return 0.0; - } - let d = coord_dist_to_meters(d_sq.sqrt(), la[i], lb[j]); - min_dist = min_dist.min(d); - } - } - min_dist -} - -fn linestring_to_polygon_distance(line: &[[f64; 2]], rings: &[Vec<[f64; 2]>]) -> f64 { - // If any line point is inside the polygon, distance is 0. - let Some(exterior) = rings.first() else { - return f64::INFINITY; - }; - for pt in line { - if point_in_polygon(pt[0], pt[1], exterior) || point_on_ring_boundary(*pt, exterior) { - return 0.0; - } - } - - // Minimum distance between line segments and ring edges. - let mut min_dist = f64::INFINITY; - for ring in rings { - let edges = ring_edges(ring); - for i in 0..line.len().saturating_sub(1) { - for &(re_a, re_b) in &edges { - let d_sq = segment_to_segment_dist_sq(line[i], line[i + 1], re_a, re_b); - if d_sq < 1e-20 { - return 0.0; - } - let d = coord_dist_to_meters(d_sq.sqrt(), line[i], re_a); - min_dist = min_dist.min(d); - } - } - } - min_dist -} - -fn polygon_to_polygon_distance(ra: &[Vec<[f64; 2]>], rb: &[Vec<[f64; 2]>]) -> f64 { - let Some(ext_a) = ra.first() else { - return f64::INFINITY; - }; - let Some(ext_b) = rb.first() else { - return f64::INFINITY; - }; - - // If any vertex of B is inside A (or vice versa), distance is 0. - for pt in ext_b { - if point_in_polygon(pt[0], pt[1], ext_a) || point_on_ring_boundary(*pt, ext_a) { - return 0.0; - } - } - for pt in ext_a { - if point_in_polygon(pt[0], pt[1], ext_b) || point_on_ring_boundary(*pt, ext_b) { - return 0.0; - } - } - - // Min edge-to-edge distance. - let mut min_dist = f64::INFINITY; - let a_edges = ring_edges(ext_a); - let b_edges = ring_edges(ext_b); - for &(a1, a2) in &a_edges { - for &(b1, b2) in &b_edges { - let d_sq = segment_to_segment_dist_sq(a1, a2, b1, b2); - if d_sq < 1e-20 { - return 0.0; - } - let d = coord_dist_to_meters(d_sq.sqrt(), a1, b1); - min_dist = min_dist.min(d); - } - } - min_dist -} - -/// Point to segment distance in meters. -/// -/// Projects onto segment in coordinate space, then uses haversine for the -/// final distance to the nearest point on the segment. -fn point_to_segment_meters(pt: [f64; 2], seg_a: [f64; 2], seg_b: [f64; 2]) -> f64 { - let dx = seg_b[0] - seg_a[0]; - let dy = seg_b[1] - seg_a[1]; - let len_sq = dx * dx + dy * dy; - - let nearest = if len_sq < 1e-20 { - seg_a - } else { - let t = ((pt[0] - seg_a[0]) * dx + (pt[1] - seg_a[1]) * dy) / len_sq; - let t = t.clamp(0.0, 1.0); - [seg_a[0] + t * dx, seg_a[1] + t * dy] - }; - - haversine_distance(pt[0], pt[1], nearest[0], nearest[1]) -} - -/// Convert coordinate-space distance to approximate meters. -/// -/// Uses equirectangular approximation at the midpoint latitude. -fn coord_dist_to_meters(coord_dist: f64, a: [f64; 2], b: [f64; 2]) -> f64 { - let mid_lat = ((a[1] + b[1]) / 2.0).to_radians(); - let meters_per_deg_lat = 110_540.0; - let meters_per_deg_lng = 111_320.0 * mid_lat.cos(); - // Approximate: treat coord_dist as an isotropic distance in degrees, - // scale by average meters per degree. - let avg_scale = (meters_per_deg_lat + meters_per_deg_lng) / 2.0; - coord_dist * avg_scale + Metric::wgs84().dwithin(a, b, distance_meters) } #[cfg(test)] @@ -294,10 +35,10 @@ mod tests { } #[test] - fn point_to_point_haversine() { + fn point_to_point_is_geodesic() { let d = st_distance(&Geometry::point(0.0, 0.0), &Geometry::point(0.0, 1.0)); - // ~111 km for 1 degree latitude. - assert!((d - 111_195.0).abs() < 500.0, "got {d}"); + // pyproj Geod(ellps="WGS84").inv(0, 0, 0, 1). + assert!((d - 110_574.388_557_798_78).abs() < 1e-6, "got {d}"); } #[test] @@ -328,9 +69,9 @@ mod tests { #[test] fn point_to_linestring() { let line = Geometry::line_string(vec![[0.0, 0.0], [10.0, 0.0]]); - // Point 1 degree north of the line. + // Point 1 degree north of an equatorial line: one meridian degree. let d = st_distance(&Geometry::point(5.0, 1.0), &line); - assert!((d - 111_195.0).abs() < 500.0, "got {d}"); + assert!((d - 110_574.388_557_798_78).abs() < 1e-3, "got {d}"); } #[test] diff --git a/nodedb-spatial/src/predicates/edge.rs b/nodedb-spatial/src/predicates/edge.rs index 763360af6..fd43e3bd1 100644 --- a/nodedb-spatial/src/predicates/edge.rs +++ b/nodedb-spatial/src/predicates/edge.rs @@ -2,10 +2,9 @@ //! Low-level segment and edge geometry primitives. //! -//! Used by ST_Contains, ST_Intersects, and ST_Distance. All operations -//! are planar (coordinate-space), not spherical. This is correct for the -//! small-area geometries typical of spatial predicates (city blocks, not -//! hemispheres). For large-area work, haversine handles the globe. +//! Used by ST_Contains, ST_Intersects and the distance algorithms. Every +//! operation is planar in the coordinates. Geodesic measures live in +//! `crate::geodesic`. /// Orientation of three points (collinear, clockwise, counter-clockwise). /// Uses the cross product of vectors (p→q) and (p→r). diff --git a/nodedb-spatial/src/predicates/intersection.rs b/nodedb-spatial/src/predicates/intersection.rs deleted file mode 100644 index 9ca6fcef3..000000000 --- a/nodedb-spatial/src/predicates/intersection.rs +++ /dev/null @@ -1,336 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! ST_Intersection — compute the area shared by two geometries. -//! -//! Uses Sutherland-Hodgman polygon clipping for polygon-polygon intersection. -//! For other geometry type combinations, delegates to simpler cases or -//! returns empty geometry. -//! -//! Sutherland-Hodgman works correctly for convex clipping polygons. For -//! concave clip polygons, the result may include extra edges — this is a -//! known limitation shared by most lightweight GIS implementations. Full -//! Weiler-Atherton is needed for perfect concave-concave intersection but -//! adds significant complexity. Sutherland-Hodgman covers the vast majority -//! of practical use cases (convex query regions, rectangular bboxes, etc.). -//! -//! Reference: Sutherland & Hodgman, "Reentrant Polygon Clipping" (1974) - -use nodedb_types::geometry::Geometry; - -/// ST_Intersection(a, b) — return the geometry representing the shared area. -/// -/// Returns GeometryCollection with an empty geometries vec if there is no -/// intersection. -pub fn st_intersection(a: &Geometry, b: &Geometry) -> Geometry { - match (a, b) { - // Polygon–Polygon: Sutherland-Hodgman clipping. - ( - Geometry::Polygon { - coordinates: rings_a, - }, - Geometry::Polygon { - coordinates: rings_b, - }, - ) => { - let Some(ext_a) = rings_a.first() else { - return empty_geometry(); - }; - let Some(ext_b) = rings_b.first() else { - return empty_geometry(); - }; - let clipped = sutherland_hodgman(ext_a, ext_b); - if clipped.len() < 3 { - return empty_geometry(); - } - // Close the ring. - let mut ring = clipped; - if ring.first() != ring.last() - && let Some(&first) = ring.first() - { - ring.push(first); - } - Geometry::Polygon { - coordinates: vec![ring], - } - } - - // Point–Polygon or reverse: if point is inside polygon, return point. - (Geometry::Point { coordinates: pt }, Geometry::Polygon { coordinates: rings }) - | (Geometry::Polygon { coordinates: rings }, Geometry::Point { coordinates: pt }) => { - if let Some(ext) = rings.first() - && (nodedb_types::geometry::point_in_polygon(pt[0], pt[1], ext) - || crate::predicates::edge::point_on_ring_boundary(*pt, ext)) - { - return Geometry::Point { coordinates: *pt }; - } - empty_geometry() - } - - // Point–Point: if identical, return point. - (Geometry::Point { coordinates: ca }, Geometry::Point { coordinates: cb }) => { - if (ca[0] - cb[0]).abs() < 1e-12 && (ca[1] - cb[1]).abs() < 1e-12 { - Geometry::Point { coordinates: *ca } - } else { - empty_geometry() - } - } - - // LineString–Polygon or reverse: clip line to polygon boundary. - (Geometry::LineString { coordinates: line }, Geometry::Polygon { coordinates: rings }) - | (Geometry::Polygon { coordinates: rings }, Geometry::LineString { coordinates: line }) => { - clip_linestring_to_polygon(line, rings) - } - - // All other combinations: fall back to checking intersection, - // return one of the inputs if they intersect. - _ => { - if crate::predicates::st_intersects(a, b) { - // Return the smaller geometry as the "intersection". - // This is an approximation for complex type combinations. - Geometry::GeometryCollection { - geometries: vec![a.clone(), b.clone()], - } - } else { - empty_geometry() - } - } - } -} - -/// Empty geometry (no intersection). -fn empty_geometry() -> Geometry { - Geometry::GeometryCollection { - geometries: Vec::new(), - } -} - -/// Sutherland-Hodgman polygon clipping. -/// -/// Clips `subject` polygon against `clip` polygon. Both are coordinate rings -/// (closed or unclosed). Returns the clipped polygon vertices (unclosed). -/// -/// The clip polygon's edges define half-planes. For each edge, vertices of -/// the subject that are "inside" (left of the edge) are kept. Vertices -/// that cross from inside to outside (or vice versa) generate intersection -/// points on the clip edge. -fn sutherland_hodgman(subject: &[[f64; 2]], clip: &[[f64; 2]]) -> Vec<[f64; 2]> { - if subject.is_empty() || clip.is_empty() { - return Vec::new(); - } - - let mut output = strip_closing(subject); - let clip_edges = strip_closing(clip); - - let n = clip_edges.len(); - for i in 0..n { - if output.is_empty() { - return Vec::new(); - } - - let edge_start = clip_edges[i]; - let edge_end = clip_edges[(i + 1) % n]; - - let input = output; - output = Vec::with_capacity(input.len()); - - let m = input.len(); - for j in 0..m { - let current = input[j]; - let previous = input[(j + m - 1) % m]; - - let curr_inside = is_inside(current, edge_start, edge_end); - let prev_inside = is_inside(previous, edge_start, edge_end); - - if curr_inside { - if !prev_inside { - // Entering: add intersection point. - if let Some(pt) = line_intersection(previous, current, edge_start, edge_end) { - output.push(pt); - } - } - output.push(current); - } else if prev_inside { - // Leaving: add intersection point. - if let Some(pt) = line_intersection(previous, current, edge_start, edge_end) { - output.push(pt); - } - } - } - } - - output -} - -/// Check if a point is on the "inside" (left side) of a directed edge. -fn is_inside(point: [f64; 2], edge_start: [f64; 2], edge_end: [f64; 2]) -> bool { - // Cross product: (edge_end - edge_start) × (point - edge_start) - // Positive = left side = inside for CCW winding. - let cross = (edge_end[0] - edge_start[0]) * (point[1] - edge_start[1]) - - (edge_end[1] - edge_start[1]) * (point[0] - edge_start[0]); - cross >= 0.0 -} - -/// Compute the intersection point of two line segments (as infinite lines). -fn line_intersection(a1: [f64; 2], a2: [f64; 2], b1: [f64; 2], b2: [f64; 2]) -> Option<[f64; 2]> { - let dx_a = a2[0] - a1[0]; - let dy_a = a2[1] - a1[1]; - let dx_b = b2[0] - b1[0]; - let dy_b = b2[1] - b1[1]; - - let denom = dx_a * dy_b - dy_a * dx_b; - if denom.abs() < 1e-15 { - return None; // Parallel lines. - } - - let t = ((b1[0] - a1[0]) * dy_b - (b1[1] - a1[1]) * dx_b) / denom; - Some([a1[0] + t * dx_a, a1[1] + t * dy_a]) -} - -/// Strip the closing vertex from a ring if present. -fn strip_closing(ring: &[[f64; 2]]) -> Vec<[f64; 2]> { - if ring.len() >= 2 && ring.first() == ring.last() { - ring[..ring.len() - 1].to_vec() - } else { - ring.to_vec() - } -} - -/// Clip a linestring to a polygon: keep only the parts inside. -fn clip_linestring_to_polygon(line: &[[f64; 2]], rings: &[Vec<[f64; 2]>]) -> Geometry { - let Some(exterior) = rings.first() else { - return empty_geometry(); - }; - - // Collect points that are inside the polygon. - let mut inside_points: Vec<[f64; 2]> = Vec::new(); - for pt in line { - if nodedb_types::geometry::point_in_polygon(pt[0], pt[1], exterior) - || crate::predicates::edge::point_on_ring_boundary(*pt, exterior) - { - inside_points.push(*pt); - } - } - - if inside_points.len() < 2 { - return empty_geometry(); - } - - Geometry::LineString { - coordinates: inside_points, - } -} - -#[cfg(test)] -mod tests { - use super::*; - - fn square(min: f64, max: f64) -> Geometry { - Geometry::polygon(vec![vec![ - [min, min], - [max, min], - [max, max], - [min, max], - [min, min], - ]]) - } - - #[test] - fn overlapping_squares() { - let a = square(0.0, 10.0); - let b = square(5.0, 15.0); - let result = st_intersection(&a, &b); - if let Geometry::Polygon { coordinates } = &result { - assert!(!coordinates[0].is_empty()); - // Intersection should be approximately [5,5] to [10,10]. - let xs: Vec = coordinates[0].iter().map(|c| c[0]).collect(); - let ys: Vec = coordinates[0].iter().map(|c| c[1]).collect(); - let min_x = xs.iter().cloned().fold(f64::INFINITY, f64::min); - let max_x = xs.iter().cloned().fold(f64::NEG_INFINITY, f64::max); - let min_y = ys.iter().cloned().fold(f64::INFINITY, f64::min); - let max_y = ys.iter().cloned().fold(f64::NEG_INFINITY, f64::max); - assert!((min_x - 5.0).abs() < 0.01, "min_x={min_x}"); - assert!((max_x - 10.0).abs() < 0.01, "max_x={max_x}"); - assert!((min_y - 5.0).abs() < 0.01, "min_y={min_y}"); - assert!((max_y - 10.0).abs() < 0.01, "max_y={max_y}"); - } else { - panic!("expected Polygon, got {:?}", result.geometry_type()); - } - } - - #[test] - fn contained_square() { - let a = square(0.0, 10.0); - let b = square(2.0, 8.0); - let result = st_intersection(&a, &b); - if let Geometry::Polygon { coordinates } = &result { - // Result should be approximately b itself. - let xs: Vec = coordinates[0].iter().map(|c| c[0]).collect(); - let min_x = xs.iter().cloned().fold(f64::INFINITY, f64::min); - let max_x = xs.iter().cloned().fold(f64::NEG_INFINITY, f64::max); - assert!((min_x - 2.0).abs() < 0.01); - assert!((max_x - 8.0).abs() < 0.01); - } else { - panic!("expected Polygon"); - } - } - - #[test] - fn disjoint_returns_empty() { - let a = square(0.0, 5.0); - let b = square(10.0, 15.0); - let result = st_intersection(&a, &b); - if let Geometry::GeometryCollection { geometries } = &result { - assert!(geometries.is_empty()); - } else { - panic!("expected empty GeometryCollection"); - } - } - - #[test] - fn point_inside_polygon() { - let poly = square(0.0, 10.0); - let pt = Geometry::point(5.0, 5.0); - let result = st_intersection(&poly, &pt); - assert_eq!(result.geometry_type(), "Point"); - } - - #[test] - fn point_outside_polygon() { - let poly = square(0.0, 10.0); - let pt = Geometry::point(20.0, 20.0); - let result = st_intersection(&poly, &pt); - if let Geometry::GeometryCollection { geometries } = &result { - assert!(geometries.is_empty()); - } - } - - #[test] - fn identical_points() { - let a = Geometry::point(5.0, 5.0); - let b = Geometry::point(5.0, 5.0); - let result = st_intersection(&a, &b); - assert_eq!(result.geometry_type(), "Point"); - } - - #[test] - fn different_points() { - let a = Geometry::point(0.0, 0.0); - let b = Geometry::point(1.0, 1.0); - let result = st_intersection(&a, &b); - if let Geometry::GeometryCollection { geometries } = &result { - assert!(geometries.is_empty()); - } - } - - #[test] - fn linestring_clipped_to_polygon() { - let poly = square(0.0, 10.0); - // Line fully inside the polygon. - let line = Geometry::line_string(vec![[2.0, 5.0], [5.0, 5.0], [8.0, 5.0]]); - let result = st_intersection(&poly, &line); - assert_eq!(result.geometry_type(), "LineString"); - if let Geometry::LineString { coordinates } = &result { - assert_eq!(coordinates.len(), 3); - } - } -} diff --git a/nodedb-spatial/src/predicates/intersects.rs b/nodedb-spatial/src/predicates/intersects.rs index 9bae4d4e9..7fea716e6 100644 --- a/nodedb-spatial/src/predicates/intersects.rs +++ b/nodedb-spatial/src/predicates/intersects.rs @@ -13,8 +13,12 @@ use nodedb_types::geometry_bbox; use super::edge::{is_collection, point_on_ring_boundary, ring_edges, segments_intersect}; -/// ST_Intersects(a, b) — do geometries A and B share any space? +/// ST_Intersects(a, b) — do geometries A and B share any space? EMPTY +/// intersects nothing. pub fn st_intersects(a: &Geometry, b: &Geometry) -> bool { + if a.is_empty() || b.is_empty() { + return false; + } // Bbox pre-filter. A GeometryCollection skips it: its bbox is a union // whose wrap rule depends on the SRID, and the recursion below filters // each member on its own. @@ -90,9 +94,6 @@ pub fn st_intersects(a: &Geometry, b: &Geometry) -> bool { | (other, Geometry::GeometryCollection { geometries }) => { geometries.iter().any(|g| st_intersects(g, other)) } - - // Unknown future geometry types — conservatively non-intersecting. - (&_, &_) => false, } } diff --git a/nodedb-spatial/src/predicates/mod.rs b/nodedb-spatial/src/predicates/mod.rs index f4772df56..accc78102 100644 --- a/nodedb-spatial/src/predicates/mod.rs +++ b/nodedb-spatial/src/predicates/mod.rs @@ -3,12 +3,10 @@ pub mod contains; pub mod distance; pub mod edge; -pub mod intersection; pub mod intersects; mod relations; pub use contains::st_contains; pub use distance::{st_distance, st_dwithin}; -pub use intersection::st_intersection; pub use intersects::st_intersects; pub use relations::{st_disjoint, st_within}; diff --git a/nodedb-spatial/src/rtree/bulk_load.rs b/nodedb-spatial/src/rtree/bulk_load.rs index 1d669546f..b250d0637 100644 --- a/nodedb-spatial/src/rtree/bulk_load.rs +++ b/nodedb-spatial/src/rtree/bulk_load.rs @@ -4,10 +4,10 @@ use nodedb_mem::ScopedMemory; use nodedb_types::BboxSpace; -use nodedb_types::geometry::Srid; use super::node::{ChildRef, INTERNAL_CAPACITY, LEAF_CAPACITY, Node, NodeKind, RTreeEntry}; use super::tree::RTree; +use super::tree_srid::TreeSrid; impl RTree { /// Bulk load entries in `srid` using Sort-Tile-Recursive packing, tracked @@ -15,11 +15,11 @@ impl RTree { /// /// More efficient than repeated single inserts for large datasets. /// Produces better packing (less overlap between nodes). - pub fn bulk_load(entries: Vec, memory: ScopedMemory, srid: Srid) -> Self { + pub fn bulk_load(entries: Vec, memory: ScopedMemory, srid: TreeSrid) -> Self { if entries.is_empty() { return Self::new(memory, srid); } - let space = srid.bbox_space(); + let space = srid.space; let len = entries.len(); // Reserve budget for nodes vec (approximately len / LEAF_CAPACITY nodes, @@ -34,7 +34,7 @@ impl RTree { nodes: Vec::new(), root: 0, len, - srid, + srid: srid.srid, space, memory, }; @@ -133,7 +133,7 @@ fn pack_internal(nodes: &mut Vec, child_indices: Vec, space: BboxSp #[cfg(test)] mod tests { use super::*; - use crate::test_support::test_memory; + use crate::test_support::{planar_srid, test_memory, utm48n}; use nodedb_types::BoundingBox; fn make_entry(id: u64, lng: f64, lat: f64) -> RTreeEntry { @@ -148,7 +148,7 @@ mod tests { let entries: Vec = (0..500) .map(|i| make_entry(i, (i as f64) * 0.1 - 25.0, (i as f64) * 0.06 - 15.0)) .collect(); - let tree = RTree::bulk_load(entries, test_memory(), Srid::Wgs84); + let tree = RTree::bulk_load(entries, test_memory(), TreeSrid::WGS84); assert_eq!(tree.len(), 500); let all = tree.search(&BoundingBox::new(-180.0, -90.0, 180.0, 90.0)); @@ -161,22 +161,22 @@ mod tests { #[test] fn bulk_load_small() { let entries = vec![make_entry(1, 0.0, 0.0), make_entry(2, 1.0, 1.0)]; - let tree = RTree::bulk_load(entries, test_memory(), Srid::Wgs84); + let tree = RTree::bulk_load(entries, test_memory(), TreeSrid::WGS84); assert_eq!(tree.len(), 2); } #[test] fn bulk_load_empty() { - let tree = RTree::bulk_load(Vec::new(), test_memory(), Srid::Utm47N); + let tree = RTree::bulk_load(Vec::new(), test_memory(), planar_srid(32647)); assert!(tree.is_empty()); - assert_eq!(tree.srid(), Srid::Utm47N); + assert_eq!(tree.tree_srid(), planar_srid(32647)); } #[test] fn bulk_load_keeps_srid_and_planar_space() { let entries = vec![make_entry(1, 1e5, 0.0), make_entry(2, 8e5, 0.0)]; - let tree = RTree::bulk_load(entries, test_memory(), Srid::Utm48N); - assert_eq!(tree.srid(), Srid::Utm48N); + let tree = RTree::bulk_load(entries, test_memory(), utm48n()); + assert_eq!(tree.tree_srid(), utm48n()); assert_eq!(tree.search(&BoundingBox::new(7e5, -1.0, 9e5, 1.0)).len(), 1); } } diff --git a/nodedb-spatial/src/rtree/mod.rs b/nodedb-spatial/src/rtree/mod.rs index 774159861..a94a6e211 100644 --- a/nodedb-spatial/src/rtree/mod.rs +++ b/nodedb-spatial/src/rtree/mod.rs @@ -7,7 +7,9 @@ pub mod node; pub mod search; pub mod split; pub mod tree; +pub mod tree_srid; pub use node::{EntryId, RTreeEntry}; pub use search::NnResult; pub use tree::{RTree, SridMismatch}; +pub use tree_srid::TreeSrid; diff --git a/nodedb-spatial/src/rtree/tree.rs b/nodedb-spatial/src/rtree/tree.rs index f607c46c0..1aadbf98a 100644 --- a/nodedb-spatial/src/rtree/tree.rs +++ b/nodedb-spatial/src/rtree/tree.rs @@ -7,6 +7,7 @@ use nodedb_types::{BboxSpace, BoundingBox}; use super::node::{Node, NodeKind, RTreeEntry}; use super::search::NnResult; +use super::tree_srid::TreeSrid; use nodedb_mem::ScopedMemory; /// R*-tree spatial index. @@ -44,13 +45,13 @@ pub struct SridMismatch { impl RTree { /// An empty tree for entries in `srid`. - pub fn new(memory: ScopedMemory, srid: Srid) -> Self { + pub fn new(memory: ScopedMemory, srid: TreeSrid) -> Self { Self { nodes: vec![Node::new_leaf()], root: 0, len: 0, - srid, - space: srid.bbox_space(), + srid: srid.srid, + space: srid.space, memory, } } @@ -80,22 +81,30 @@ impl RTree { /// /// An empty tree adopts `srid`. A non-empty tree in another SRID refuses /// with [`SridMismatch`] and is left unchanged. - pub fn bind_srid(&mut self, srid: Srid) -> Result<(), SridMismatch> { + pub fn bind_srid(&mut self, srid: TreeSrid) -> Result<(), SridMismatch> { if self.is_empty() { - self.srid = srid; - self.space = srid.bbox_space(); + self.srid = srid.srid; + self.space = srid.space; return Ok(()); } - if self.srid == srid { + if self.srid == srid.srid { Ok(()) } else { Err(SridMismatch { index: self.srid, - entry: srid, + entry: srid.srid, }) } } + /// The SRID and bbox space of every entry. + pub fn tree_srid(&self) -> TreeSrid { + TreeSrid { + srid: self.srid, + space: self.space, + } + } + pub fn len(&self) -> usize { self.len } @@ -194,7 +203,7 @@ pub(crate) fn collect_entries_owned(nodes: &[Node], node_idx: usize, result: &mu mod tests { use super::super::node::LEAF_CAPACITY; use super::*; - use crate::test_support::test_memory; + use crate::test_support::{test_memory, utm48n}; fn make_entry(id: u64, lng: f64, lat: f64) -> RTreeEntry { RTreeEntry { @@ -212,7 +221,7 @@ mod tests { #[test] fn empty_tree() { - let tree = RTree::new(test_memory(), Srid::Wgs84); + let tree = RTree::new(test_memory(), TreeSrid::WGS84); assert!(tree.is_empty()); assert!( tree.search(&BoundingBox::new(-180.0, -90.0, 180.0, 90.0)) @@ -222,7 +231,7 @@ mod tests { #[test] fn insert_and_search_single() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 10.0, 20.0)); assert_eq!(tree.len(), 1); assert_eq!( @@ -237,7 +246,7 @@ mod tests { #[test] fn insert_many_and_search() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..200 { tree.insert(make_entry( i, @@ -252,7 +261,7 @@ mod tests { #[test] fn delete_entry() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..50 { tree.insert(make_entry(i, i as f64, i as f64)); } @@ -265,7 +274,7 @@ mod tests { #[test] fn nearest_neighbor() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_entry(1, 0.0, 0.0)); tree.insert(make_entry(2, 10.0, 10.0)); tree.insert(make_entry(3, 5.0, 5.0)); @@ -278,7 +287,7 @@ mod tests { #[test] fn nearest_empty() { assert!( - RTree::new(test_memory(), Srid::Wgs84) + RTree::new(test_memory(), TreeSrid::WGS84) .nearest(0.0, 0.0, 5) .is_empty() ); @@ -286,7 +295,7 @@ mod tests { #[test] fn rect_overlap_search() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); tree.insert(make_rect(1, 0.0, 0.0, 10.0, 10.0)); tree.insert(make_rect(2, 5.0, 5.0, 15.0, 15.0)); tree.insert(make_rect(3, 20.0, 20.0, 30.0, 30.0)); @@ -296,7 +305,7 @@ mod tests { #[test] fn stress_insert_delete() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..100_u64 { tree.insert(make_entry(i, (i as f64) * 0.5, (i as f64) * 0.3)); } @@ -310,7 +319,7 @@ mod tests { #[test] fn triggers_node_split() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); let count = LEAF_CAPACITY * 3; for i in 0..count as u64 { tree.insert(make_entry(i, (i as f64) * 0.1, (i as f64) * 0.1)); @@ -324,7 +333,7 @@ mod tests { /// spans them directly instead of wrapping as if x were longitude. #[test] fn projected_tree_unions_planar() { - let mut tree = RTree::new(test_memory(), Srid::Utm48N); + let mut tree = RTree::new(test_memory(), utm48n()); tree.insert(make_rect(1, 1e5, 0.0, 2e5, 10.0)); tree.insert(make_rect(2, 7e5, 0.0, 8e5, 10.0)); let root = tree.nodes[tree.root].bbox; @@ -343,7 +352,7 @@ mod tests { #[test] fn projected_nearest_is_euclidean_metres() { - let mut tree = RTree::new(test_memory(), Srid::Utm48N); + let mut tree = RTree::new(test_memory(), utm48n()); tree.insert(make_entry(1, 500_000.0, 0.0)); tree.insert(make_entry(2, 500_300.0, 400.0)); let nn = tree.nearest(500_000.0, 0.0, 2); @@ -353,18 +362,18 @@ mod tests { #[test] fn empty_tree_adopts_first_srid_then_refuses_another() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); - assert!(tree.accepts_srid(Srid::Utm48N)); - assert_eq!(tree.bind_srid(Srid::Utm48N), Ok(())); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); + assert!(tree.accepts_srid(utm48n().srid)); + assert_eq!(tree.bind_srid(utm48n()), Ok(())); tree.insert(make_entry(1, 500_000.0, 0.0)); - assert_eq!(tree.srid(), Srid::Utm48N); + assert_eq!(tree.srid(), utm48n().srid); assert_eq!(tree.space(), BboxSpace::Planar); - assert!(!tree.accepts_srid(Srid::Wgs84)); + assert!(!tree.accepts_srid(Srid::WGS84)); assert_eq!( - tree.bind_srid(Srid::Wgs84), + tree.bind_srid(TreeSrid::WGS84), Err(SridMismatch { - index: Srid::Utm48N, - entry: Srid::Wgs84 + index: utm48n().srid, + entry: Srid::WGS84 }) ); assert_eq!(tree.len(), 1); @@ -372,7 +381,7 @@ mod tests { #[test] fn entries_enumeration() { - let mut tree = RTree::new(test_memory(), Srid::Wgs84); + let mut tree = RTree::new(test_memory(), TreeSrid::WGS84); for i in 0..10 { tree.insert(make_entry(i, i as f64, i as f64)); } diff --git a/nodedb-spatial/src/rtree/tree_srid.rs b/nodedb-spatial/src/rtree/tree_srid.rs new file mode 100644 index 000000000..8255efc4c --- /dev/null +++ b/nodedb-spatial/src/rtree/tree_srid.rs @@ -0,0 +1,64 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The SRID of an R-tree with the bbox space it fixes. + +use nodedb_crs::{CrsContext, UnknownSrid}; +use nodedb_types::BboxSpace; +use nodedb_types::geometry::Srid; + +/// An SRID and its bbox space, resolved once so the tree's hot insert path +/// never consults a CRS registry. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] +pub struct TreeSrid { + pub srid: Srid, + pub space: BboxSpace, +} + +impl TreeSrid { + /// WGS 84, geographic. + pub const WGS84: TreeSrid = TreeSrid { + srid: Srid::WGS84, + space: BboxSpace::Geographic, + }; + + /// `srid` with the space its kind in `ctx` gives. + pub fn resolve(srid: Srid, ctx: &CrsContext<'_>) -> Result { + Ok(TreeSrid { + srid, + space: BboxSpace::of(ctx, srid)?, + }) + } +} + +impl Default for TreeSrid { + fn default() -> Self { + TreeSrid::WGS84 + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn resolve_follows_the_crs_kind() { + let ctx = CrsContext::builtin_only(); + let utm = Srid::new(32650).unwrap(); + assert_eq!( + TreeSrid::resolve(utm, &ctx), + Ok(TreeSrid { + srid: utm, + space: BboxSpace::Planar + }) + ); + let gdm2000 = Srid::new(4742).unwrap(); + assert_eq!( + TreeSrid::resolve(gdm2000, &ctx).map(|t| t.space), + Ok(BboxSpace::Geographic) + ); + assert_eq!( + TreeSrid::resolve(Srid::new(999).unwrap(), &ctx), + Err(UnknownSrid::Undefined { code: 999 }) + ); + } +} diff --git a/nodedb-spatial/src/spatial_join.rs b/nodedb-spatial/src/spatial_join.rs index cd999c9ed..6d0fb0561 100644 --- a/nodedb-spatial/src/spatial_join.rs +++ b/nodedb-spatial/src/spatial_join.rs @@ -14,11 +14,12 @@ //! to index based on collection cardinality. use nodedb_mem::ScopedMemory; -use nodedb_types::geometry::{Geometry, Srid}; -use nodedb_types::{BboxSpace, BoundingBox, geometry_bbox_in}; +use nodedb_types::geometry::Geometry; +use nodedb_types::{BoundingBox, geometry_bbox_in}; +use crate::metric::Metric; use crate::predicates; -use crate::rtree::{RTree, RTreeEntry}; +use crate::rtree::{RTree, RTreeEntry, TreeSrid}; /// Result of a spatial join between two collections. pub struct SpatialJoinResult { @@ -37,12 +38,15 @@ pub struct SpatialJoinResult { /// `get_geometry`: callback to retrieve the full geometry for an entry ID /// (needed for exact predicate evaluation after R-tree bbox filter). /// `predicate`: which spatial predicate to apply (intersects, contains, etc.). +/// `metric`: the shared SRID's metric. `DWithin` widens each probe box by +/// its distance under it and measures under it. pub fn spatial_join( indexed_side: &RTree, probe_entries: &[(u64, BoundingBox)], get_indexed_geom: &dyn Fn(u64) -> Option, get_probe_geom: &dyn Fn(u64) -> Option, predicate: SpatialJoinPredicate, + metric: &Metric, ) -> SpatialJoinResult { let mut pairs = Vec::new(); let mut probes = 0; @@ -50,7 +54,13 @@ pub fn spatial_join( for &(probe_id, ref probe_bbox) in probe_entries { // R-tree range search: find indexed entries whose bbox intersects probe bbox. - let candidates = indexed_side.search(probe_bbox); + let search_bbox = match predicate { + SpatialJoinPredicate::DWithin(metres) => metric.widen(probe_bbox, metres), + SpatialJoinPredicate::Intersects + | SpatialJoinPredicate::Contains + | SpatialJoinPredicate::Within => *probe_bbox, + }; + let candidates = indexed_side.search(&search_bbox); probes += 1; for candidate in &candidates { @@ -71,14 +81,9 @@ pub fn spatial_join( predicates::st_contains(&probe_geom, &indexed_geom) } SpatialJoinPredicate::Within => predicates::st_within(&probe_geom, &indexed_geom), - SpatialJoinPredicate::DWithin(dist) => match indexed_side.space() { - BboxSpace::Geographic => { - predicates::st_dwithin(&probe_geom, &indexed_geom, dist) - } - BboxSpace::Planar => { - crate::planar::planar_dwithin(&probe_geom, &indexed_geom, dist) - } - }, + SpatialJoinPredicate::DWithin(metres) => { + metric.dwithin(&probe_geom, &indexed_geom, metres) + } }; if matches { @@ -96,8 +101,12 @@ pub fn spatial_join( /// Build an R-tree from a list of (entry_id, geometry) pairs, all in /// `srid`, for join. -pub fn build_join_index(entries: &[(u64, Geometry)], memory: ScopedMemory, srid: Srid) -> RTree { - let space = srid.bbox_space(); +pub fn build_join_index( + entries: &[(u64, Geometry)], + memory: ScopedMemory, + srid: TreeSrid, +) -> RTree { + let space = srid.space; let rtree_entries: Vec = entries .iter() .map(|(id, geom)| RTreeEntry { @@ -115,6 +124,7 @@ pub enum SpatialJoinPredicate { Intersects, Contains, Within, + /// Within a distance in metres under the join's metric. DWithin(f64), } @@ -161,7 +171,7 @@ mod tests { .collect(); // Build index on left side. - let index = build_join_index(&left, test_memory(), Srid::Wgs84); + let index = build_join_index(&left, test_memory(), TreeSrid::WGS84); // Probe with right side. let probe_entries: Vec<(u64, BoundingBox)> = right @@ -178,6 +188,7 @@ mod tests { &|id| left_map.get(&id).cloned(), &|id| right_map.get(&id).cloned(), SpatialJoinPredicate::Intersects, + &Metric::wgs84(), ); // Adjacent overlapping squares should produce matches. @@ -208,7 +219,7 @@ mod tests { ]]), )]; - let index = build_join_index(&left, test_memory(), Srid::Wgs84); + let index = build_join_index(&left, test_memory(), TreeSrid::WGS84); let probes: Vec<(u64, BoundingBox)> = right .iter() .map(|(id, g)| (*id, geometry_bbox(g))) @@ -223,6 +234,7 @@ mod tests { &|id| left_map.get(&id).cloned(), &|id| right_map.get(&id).cloned(), SpatialJoinPredicate::Intersects, + &Metric::wgs84(), ); assert!(result.pairs.is_empty()); @@ -233,13 +245,10 @@ mod tests { let left = vec![(1u64, Geometry::point(0.0, 0.0))]; let right = vec![(100u64, Geometry::point(0.001, 0.0))]; // ~111m away - let index = build_join_index(&left, test_memory(), Srid::Wgs84); + let index = build_join_index(&left, test_memory(), TreeSrid::WGS84); let probes: Vec<(u64, BoundingBox)> = right .iter() - .map(|(id, g)| { - // Expand bbox by distance for R-tree search. - (*id, geometry_bbox(g).expand_meters(500.0)) - }) + .map(|(id, g)| (*id, geometry_bbox(g))) .collect(); let left_map: std::collections::HashMap = left.into_iter().collect(); @@ -250,7 +259,8 @@ mod tests { &probes, &|id| left_map.get(&id).cloned(), &|id| right_map.get(&id).cloned(), - SpatialJoinPredicate::DWithin(500.0), // 500m + SpatialJoinPredicate::DWithin(500.0), + &Metric::wgs84(), ); assert_eq!(result.pairs.len(), 1); diff --git a/nodedb-spatial/src/test_support.rs b/nodedb-spatial/src/test_support.rs index 70eb7b483..4879b3887 100644 --- a/nodedb-spatial/src/test_support.rs +++ b/nodedb-spatial/src/test_support.rs @@ -26,3 +26,16 @@ pub(crate) fn test_memory() -> ScopedMemory { EngineId::Spatial, ) } + +/// A projected tree SRID with code `code`, planar space. +pub(crate) fn planar_srid(code: u32) -> crate::rtree::TreeSrid { + crate::rtree::TreeSrid { + srid: nodedb_types::geometry::Srid::new(code).expect("test SRID code in range"), + space: nodedb_types::BboxSpace::Planar, + } +} + +/// EPSG:32648, UTM zone 48N. +pub(crate) fn utm48n() -> crate::rtree::TreeSrid { + planar_srid(32648) +} diff --git a/nodedb-spatial/src/text.rs b/nodedb-spatial/src/text.rs new file mode 100644 index 000000000..75adcad72 --- /dev/null +++ b/nodedb-spatial/src/text.rs @@ -0,0 +1,140 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! One entry point for every textual and binary geometry form. +//! +//! Text starting with `{` is GeoJSON. Text of hex digits only is (E)WKB in +//! hex, as PostGIS prints it. Any other text is EWKT or WKT. Bytes are WKB +//! or EWKB. +//! +//! An input parse resolves the SRID through a resolver, so an undefined +//! SRID is refused. A stored parse checks the SRID's syntax only. + +use nodedb_crs::{SridResolver, UnknownSrid}; +use nodedb_types::geometry::{Srid, SridGeometry, decode_stored_geojson, parse_geojson}; + +use crate::error::SpatialError; +use crate::wkb::geometry_from_wkb; +use crate::wkt::geometry_from_ewkt; + +/// How a parsed SRID code becomes an [`Srid`]. +#[derive(Clone, Copy)] +pub enum SridCheck<'a> { + /// Resolve through a resolver: an undefined code fails. + Resolve(&'a dyn SridResolver), + /// Check the code range only, for stored data. + Syntax, +} + +impl SridCheck<'_> { + fn code(&self, code: i64) -> Result { + let in_range = u32::try_from(code) + .ok() + .and_then(|c| Srid::new(c).ok()) + .ok_or(UnknownSrid::OutOfRange { code })?; + match self { + SridCheck::Resolve(ctx) => ctx.resolve_u32(in_range.code()), + SridCheck::Syntax => Ok(in_range), + } + } +} + +/// Parse a geometry text in any accepted form. +pub fn geometry_from_text(text: &str, check: SridCheck<'_>) -> Result { + let trimmed = text.trim(); + if trimmed.starts_with('{') { + return Ok(match check { + SridCheck::Resolve(ctx) => parse_geojson(trimmed, ctx)?, + SridCheck::Syntax => decode_stored_geojson(trimmed.as_bytes())?, + }); + } + if is_hex(trimmed) { + let bytes = decode_hex(trimmed); + return geometry_from_bytes(&bytes, check); + } + let ewkt = geometry_from_ewkt(trimmed)?; + Ok(match ewkt.srid { + Some(code) => ewkt.geometry.with_srid(check.code(code)?), + None => ewkt.geometry, + }) +} + +/// Parse WKB or EWKB bytes. ISO WKB is WGS 84. +pub fn geometry_from_bytes( + bytes: &[u8], + check: SridCheck<'_>, +) -> Result { + let wkb = geometry_from_wkb(bytes)?; + Ok(match wkb.srid { + Some(code) => wkb.geometry.with_srid(check.code(i64::from(code))?), + None => wkb.geometry, + }) +} + +/// Whether `text` is an even-length run of hex digits long enough to hold +/// a WKB header. +fn is_hex(text: &str) -> bool { + text.len() >= 10 && text.len().is_multiple_of(2) && text.bytes().all(|b| b.is_ascii_hexdigit()) +} + +fn decode_hex(text: &str) -> Vec { + text.as_bytes() + .chunks(2) + .map(|pair| (hex_value(pair[0]) << 4) | hex_value(pair[1])) + .collect() +} + +/// Value of one ASCII hex digit. [`is_hex`] admits only hex digits. +fn hex_value(b: u8) -> u8 { + match b { + b'0'..=b'9' => b - b'0', + b'a'..=b'f' => b - b'a' + 10, + _ => b - b'A' + 10, + } +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_types::geometry::Geometry; + + fn ctx() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + + #[test] + fn every_text_form_parses() { + let ctx = ctx(); + let check = SridCheck::Resolve(&ctx); + let want = SridGeometry::wgs84(Geometry::point(1.0, 2.0)); + assert_eq!(geometry_from_text("POINT(1 2)", check), Ok(want.clone())); + assert_eq!( + geometry_from_text(r#"{"type":"Point","coordinates":[1,2]}"#, check), + Ok(want.clone()) + ); + assert_eq!( + geometry_from_text("0101000000000000000000F03F0000000000000040", check), + Ok(want) + ); + let ewkt = geometry_from_text("SRID=32648;POINT(1 2)", check).unwrap(); + assert_eq!(ewkt.srid.code(), 32648); + } + + #[test] + fn undefined_srid_fails_only_on_input() { + let ctx = ctx(); + assert!(matches!( + geometry_from_text("SRID=999;POINT(1 2)", SridCheck::Resolve(&ctx)), + Err(SpatialError::Srid(UnknownSrid::Undefined { code: 999 })) + )); + assert_eq!( + geometry_from_text("SRID=999;POINT(1 2)", SridCheck::Syntax).map(|g| g.srid.code()), + Ok(999) + ); + } + + #[test] + fn malformed_text_is_an_error() { + assert!(geometry_from_text("POINT(", SridCheck::Syntax).is_err()); + assert!(geometry_from_text("not a geometry", SridCheck::Syntax).is_err()); + } +} diff --git a/nodedb-spatial/src/validate.rs b/nodedb-spatial/src/validate.rs index 2c6816eeb..ccd5f55ce 100644 --- a/nodedb-spatial/src/validate.rs +++ b/nodedb-spatial/src/validate.rs @@ -1,293 +1,439 @@ // SPDX-License-Identifier: Apache-2.0 -//! Geometry validation (geo_is_valid). +//! Geometry validity per OGC Simple Features, as `ST_IsValid` defines it. //! -//! Checks structural validity per OGC Simple Features: -//! - Polygon rings must be closed (first == last coordinate) -//! - Polygon rings must have at least 4 points (triangle + close) -//! - Polygon exterior ring should be counter-clockwise (right-hand rule) -//! - Polygon holes should be clockwise -//! - No self-intersection of ring edges -//! - LineStrings must have at least 2 points +//! - every coordinate finite; +//! - a LineString has at least 2 points; +//! - a ring is closed and has at least 4 points; +//! - a ring does not cross itself; +//! - a hole lies inside its shell, and rings meet at points only; +//! - MultiPolygon members neither overlap nor share an edge. +//! +//! Ring direction does not affect validity. EMPTY is valid. +use geo::Validation; +use geo::algorithm::validation::{InvalidMultiPolygon, InvalidPolygon, RingRole}; use nodedb_types::geometry::Geometry; -use crate::predicates::edge::segments_intersect; - -/// Validate a geometry. Returns a list of issues (empty = valid). -pub fn validate_geometry(geom: &Geometry) -> Vec { - let mut issues = Vec::new(); - validate_recursive(geom, &mut issues); - issues +use crate::ops::convert::polygon; + +/// Where in a geometry a problem lies. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct Location { + /// Index path of collection members, outermost first. + pub members: Vec, + /// Polygon index within a MultiPolygon. + pub polygon: Option, + /// Ring index within a polygon, 0 the shell. + pub ring: Option, } -/// Whether a geometry is valid (no issues). -pub fn is_valid(geom: &Geometry) -> bool { - validate_geometry(geom).is_empty() -} +impl Location { + fn root() -> Self { + Self { + members: Vec::new(), + polygon: None, + ring: None, + } + } -fn validate_recursive(geom: &Geometry, issues: &mut Vec) { - match geom { - Geometry::Point { coordinates } - if coordinates[0].is_nan() - || coordinates[1].is_nan() - || coordinates[0].is_infinite() - || coordinates[1].is_infinite() => - { - issues.push("Point has NaN or Infinite coordinate".to_string()); + fn member(&self, index: usize) -> Self { + let mut members = self.members.clone(); + members.push(index); + Self { + members, + polygon: None, + ring: None, } + } - Geometry::LineString { coordinates } if coordinates.len() < 2 => { - issues.push(format!( - "LineString has {} points, minimum is 2", - coordinates.len() - )); + fn polygon(&self, index: usize) -> Self { + Self { + polygon: Some(index), + ..self.clone() } + } - Geometry::Polygon { coordinates } => { - if coordinates.is_empty() { - issues.push("Polygon has no rings".to_string()); - return; - } + fn ring(&self, index: usize) -> Self { + Self { + ring: Some(index), + ..self.clone() + } + } +} - for (ring_idx, ring) in coordinates.iter().enumerate() { - let label = if ring_idx == 0 { - "Exterior ring".to_string() - } else { - format!("Hole ring {ring_idx}") - }; +impl std::fmt::Display for Location { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + let mut parts = Vec::new(); + for m in &self.members { + parts.push(format!("member {m}")); + } + if let Some(p) = self.polygon { + parts.push(format!("polygon {p}")); + } + match self.ring { + Some(0) => parts.push("shell".to_string()), + Some(r) => parts.push(format!("hole {r}")), + None => {} + } + if parts.is_empty() { + f.write_str("geometry") + } else { + f.write_str(&parts.join(" ")) + } + } +} - if ring.len() < 4 { - issues.push(format!( - "{label} has {} points, minimum is 4 (triangle + close)", - ring.len() - )); - continue; - } +/// Why a geometry is invalid. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum ValidityReason { + #[error("{location}: coordinate {index} is not finite")] + NonFinite { location: Location, index: usize }, + #[error("{location}: {found} points, a LineString needs at least 2")] + LineTooShort { location: Location, found: usize }, + #[error("{location}: {found} points, a ring needs at least 4")] + RingTooShort { location: Location, found: usize }, + #[error("{location}: ring is not closed")] + RingNotClosed { location: Location }, + #[error("{location}: ring crosses itself")] + SelfIntersection { location: Location }, + #[error("{location}: hole lies outside the shell")] + HoleOutsideShell { location: Location }, + #[error("{location}: rings {first} and {second} share a line")] + RingsTouchOnLine { + location: Location, + first: usize, + second: usize, + }, + #[error("{location}: rings {first} and {second} overlap")] + RingsOverlap { + location: Location, + first: usize, + second: usize, + }, + #[error("{location}: polygons {first} and {second} overlap")] + PolygonsOverlap { + location: Location, + first: usize, + second: usize, + }, + #[error("{location}: polygons {first} and {second} share a line")] + PolygonsTouchOnLine { + location: Location, + first: usize, + second: usize, + }, +} - // Check closed. - if let (Some(first), Some(last)) = (ring.first(), ring.last()) - && ((first[0] - last[0]).abs() > 1e-10 || (first[1] - last[1]).abs() > 1e-10) - { - issues.push(format!("{label} is not closed (first != last)")); - } +/// Every reason `geom` is invalid. Empty when valid. +pub fn validate_geometry(geom: &Geometry) -> Vec { + let mut reasons = Vec::new(); + check(geom, &Location::root(), &mut reasons); + reasons +} - // Check winding order. - let area = signed_area(ring); - if ring_idx == 0 && area < 0.0 { - issues.push( - "Exterior ring has clockwise winding (should be counter-clockwise)" - .to_string(), - ); - } else if ring_idx > 0 && area > 0.0 { - issues.push(format!( - "{label} has counter-clockwise winding (holes should be clockwise)" - )); - } +/// Whether `geom` is valid. +pub fn is_valid(geom: &Geometry) -> bool { + validate_geometry(geom).is_empty() +} - // Check self-intersection. - check_ring_self_intersection(ring, &label, issues); +fn check(geom: &Geometry, at: &Location, out: &mut Vec) { + match geom { + g if g.is_empty() => {} + Geometry::Point { coordinates } => finite(&[*coordinates], at, out), + Geometry::MultiPoint { coordinates } => finite(coordinates, at, out), + Geometry::LineString { coordinates } => line(coordinates, at, out), + Geometry::MultiLineString { coordinates } => { + for (i, l) in coordinates.iter().enumerate() { + line(l, &at.polygon(i), out); } } - - Geometry::MultiPoint { coordinates } => { - for (i, c) in coordinates.iter().enumerate() { - if c[0].is_nan() || c[1].is_nan() || c[0].is_infinite() || c[1].is_infinite() { - issues.push(format!("MultiPoint[{i}] has NaN or Infinite coordinate")); - } + Geometry::Polygon { coordinates } => { + if rings_ok(coordinates, at, out) { + polygon_topology(coordinates, at, out); } } - - Geometry::MultiLineString { coordinates } => { - for (i, ls) in coordinates.iter().enumerate() { - if ls.len() < 2 { - issues.push(format!( - "MultiLineString[{i}] has {} points, minimum is 2", - ls.len() - )); + Geometry::MultiPolygon { coordinates } => { + let mut all_ok = true; + for (i, rings) in coordinates.iter().enumerate() { + let here = at.polygon(i); + if rings_ok(rings, &here, out) { + polygon_topology(rings, &here, out); + } else { + all_ok = false; } } - } - - Geometry::MultiPolygon { coordinates } => { - for (i, poly) in coordinates.iter().enumerate() { - validate_recursive( - &Geometry::Polygon { - coordinates: poly.clone(), - }, - issues, - ); - // Prefix existing issues from this sub-polygon. - // (Already added by recursive call.) - let _ = i; // used for context only + if all_ok { + multipolygon_topology(coordinates, at, out); } } - Geometry::GeometryCollection { geometries } => { - for geom in geometries { - validate_recursive(geom, issues); + for (i, member) in geometries.iter().enumerate() { + check(member, &at.member(i), out); } } + } +} - // Unknown future geometry type — no validation rules yet. - _ => {} +fn finite(coords: &[[f64; 2]], at: &Location, out: &mut Vec) { + if let Some(index) = coords + .iter() + .position(|c| !(c[0].is_finite() && c[1].is_finite())) + { + out.push(ValidityReason::NonFinite { + location: at.clone(), + index, + }); } } -/// Signed area of a ring (Shoelace formula). Positive = CCW, Negative = CW. -pub(crate) fn signed_area(ring: &[[f64; 2]]) -> f64 { - let n = ring.len(); - if n < 3 { - return 0.0; +fn line(coords: &[[f64; 2]], at: &Location, out: &mut Vec) { + finite(coords, at, out); + if coords.len() < 2 { + out.push(ValidityReason::LineTooShort { + location: at.clone(), + found: coords.len(), + }); } - let mut sum = 0.0; - for i in 0..n { - let j = (i + 1) % n; - sum += ring[i][0] * ring[j][1]; - sum -= ring[j][0] * ring[i][1]; +} + +/// The structural checks `geo` cannot see once it closes rings. `true` +/// when every ring passes them. +fn rings_ok(rings: &[Vec<[f64; 2]>], at: &Location, out: &mut Vec) -> bool { + let before = out.len(); + for (r, ring) in rings.iter().enumerate() { + let here = at.ring(r); + finite(ring, &here, out); + if ring.len() < 4 { + out.push(ValidityReason::RingTooShort { + location: here, + found: ring.len(), + }); + continue; + } + if ring.first() != ring.last() { + out.push(ValidityReason::RingNotClosed { location: here }); + } } - sum / 2.0 + out.len() == before } -/// Check if any non-adjacent edges of a ring intersect. -fn check_ring_self_intersection(ring: &[[f64; 2]], label: &str, issues: &mut Vec) { - let n = if ring.first() == ring.last() && ring.len() > 1 { - ring.len() - 1 - } else { - ring.len() - }; +fn role_index(role: &RingRole) -> usize { + match role { + RingRole::Exterior => 0, + RingRole::Interior(i) => i + 1, + } +} - if n < 4 { - return; // Triangle can't self-intersect. +fn polygon_reason(e: &InvalidPolygon, at: &Location) -> ValidityReason { + match e { + InvalidPolygon::TooFewPointsInRing(role) => ValidityReason::RingTooShort { + location: at.ring(role_index(role)), + found: 3, + }, + InvalidPolygon::SelfIntersection(role) => ValidityReason::SelfIntersection { + location: at.ring(role_index(role)), + }, + InvalidPolygon::NonFiniteCoord(role, index) => ValidityReason::NonFinite { + location: at.ring(role_index(role)), + index: index.0, + }, + InvalidPolygon::InteriorRingNotContainedInExteriorRing(role) => { + ValidityReason::HoleOutsideShell { + location: at.ring(role_index(role)), + } + } + InvalidPolygon::IntersectingRingsOnALine(a, b) => ValidityReason::RingsTouchOnLine { + location: at.clone(), + first: role_index(a), + second: role_index(b), + }, + InvalidPolygon::IntersectingRingsOnAnArea(a, b) => ValidityReason::RingsOverlap { + location: at.clone(), + first: role_index(a), + second: role_index(b), + }, } +} + +fn polygon_topology(rings: &[Vec<[f64; 2]>], at: &Location, out: &mut Vec) { + out.extend( + polygon(rings) + .validation_errors() + .iter() + .map(|e| polygon_reason(e, at)), + ); +} - for i in 0..n { - let i_next = (i + 1) % n; - // Only check non-adjacent edges (skip i-1, i, i+1). - for j in (i + 2)..n { - let j_next = (j + 1) % n; - // Skip if edges share a vertex. - if j_next == i { - continue; +fn multipolygon_topology( + polygons: &[Vec>], + at: &Location, + out: &mut Vec, +) { + let mp = geo::MultiPolygon::new(polygons.iter().map(|p| polygon(p)).collect()); + for e in mp.validation_errors() { + match e { + // Each member is checked on its own above. + InvalidMultiPolygon::InvalidPolygon(..) => {} + InvalidMultiPolygon::ElementsOverlaps(a, b) => { + out.push(ValidityReason::PolygonsOverlap { + location: at.clone(), + first: a.0, + second: b.0, + }); } - if segments_intersect(ring[i], ring[i_next], ring[j], ring[j_next]) { - // Check if it's just a shared endpoint (adjacent-ish for closed rings). - let shared_endpoint = ring[i] == ring[j] - || ring[i] == ring[j_next] - || ring[i_next] == ring[j] - || ring[i_next] == ring[j_next]; - if !shared_endpoint { - issues.push(format!( - "{label} has self-intersection at edges {i}-{i_next} and {j}-{j_next}" - )); - return; // One self-intersection is enough to report. - } + InvalidMultiPolygon::ElementsTouchOnALine(a, b) => { + out.push(ValidityReason::PolygonsTouchOnLine { + location: at.clone(), + first: a.0, + second: b.0, + }); } } } } +/// `ST_IsValidReason`: `"Valid Geometry"` or the first reason, as PostGIS +/// words the valid case. +pub fn validity_reason(geom: &Geometry) -> String { + validate_geometry(geom) + .first() + .map_or_else(|| "Valid Geometry".to_string(), ToString::to_string) +} + #[cfg(test)] mod tests { use super::*; - #[test] - fn valid_polygon() { - let geom = Geometry::polygon(vec![vec![ + fn square(clockwise: bool) -> Vec<[f64; 2]> { + let mut ring = vec![ [0.0, 0.0], [10.0, 0.0], [10.0, 10.0], [0.0, 10.0], [0.0, 0.0], - ]]); - assert!(is_valid(&geom)); + ]; + if clockwise { + ring.reverse(); + } + ring } #[test] - fn unclosed_ring() { - let geom = Geometry::polygon(vec![vec![ + fn valid_polygon_either_direction() { + assert!(is_valid(&Geometry::polygon(vec![square(false)]))); + assert!(is_valid(&Geometry::polygon(vec![square(true)]))); + } + + #[test] + fn unclosed_and_short_rings() { + let unclosed = Geometry::polygon(vec![vec![ [0.0, 0.0], [10.0, 0.0], [10.0, 10.0], [0.0, 10.0], ]]); - let issues = validate_geometry(&geom); - assert!(issues.iter().any(|i| i.contains("not closed"))); - } - - #[test] - fn too_few_points() { - let geom = Geometry::polygon(vec![vec![[0.0, 0.0], [10.0, 0.0], [10.0, 10.0]]]); - let issues = validate_geometry(&geom); - assert!(issues.iter().any(|i| i.contains("minimum is 4"))); + assert!(matches!( + validate_geometry(&unclosed).as_slice(), + [ValidityReason::RingNotClosed { .. }] + )); + let short = Geometry::polygon(vec![vec![[0.0, 0.0], [10.0, 0.0], [10.0, 10.0]]]); + assert!(matches!( + validate_geometry(&short).as_slice(), + [ValidityReason::RingTooShort { found: 3, .. }] + )); } #[test] - fn self_intersecting_ring() { - // Bowtie: edges cross. - let geom = Geometry::polygon(vec![vec![ + fn bowtie_self_intersects() { + let bowtie = Geometry::polygon(vec![vec![ [0.0, 0.0], [10.0, 10.0], [10.0, 0.0], [0.0, 10.0], [0.0, 0.0], ]]); - let issues = validate_geometry(&geom); - assert!(issues.iter().any(|i| i.contains("self-intersection"))); - } - - #[test] - fn valid_linestring() { - let geom = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]); - assert!(is_valid(&geom)); - } - - #[test] - fn linestring_too_short() { - let geom = Geometry::LineString { - coordinates: vec![[0.0, 0.0]], - }; - assert!(!is_valid(&geom)); + let reasons = validate_geometry(&bowtie); + assert!( + reasons + .iter() + .any(|r| matches!(r, ValidityReason::SelfIntersection { .. })), + "{reasons:?}" + ); + assert!(validity_reason(&bowtie).contains("crosses itself")); } #[test] - fn valid_point() { - assert!(is_valid(&Geometry::point(0.0, 0.0))); + fn hole_outside_shell() { + let g = Geometry::polygon(vec![ + square(false), + vec![ + [20.0, 20.0], + [21.0, 20.0], + [21.0, 21.0], + [20.0, 21.0], + [20.0, 20.0], + ], + ]); + assert!( + validate_geometry(&g) + .iter() + .any(|r| matches!(r, ValidityReason::HoleOutsideShell { .. })) + ); } #[test] - fn nan_point_invalid() { - let geom = Geometry::Point { - coordinates: [f64::NAN, 0.0], + fn overlapping_multipolygon_members() { + let shifted: Vec<[f64; 2]> = square(false).iter().map(|c| [c[0] + 5.0, c[1]]).collect(); + let g = Geometry::MultiPolygon { + coordinates: vec![vec![square(false)], vec![shifted]], }; - assert!(!is_valid(&geom)); + assert!( + validate_geometry(&g) + .iter() + .any(|r| matches!(r, ValidityReason::PolygonsOverlap { .. })) + ); } #[test] - fn clockwise_exterior_warned() { - // Clockwise exterior ring. - let geom = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [0.0, 10.0], - [10.0, 10.0], - [10.0, 0.0], + fn lines_points_and_empty() { + assert!(is_valid(&Geometry::line_string(vec![ [0.0, 0.0], - ]]); - let issues = validate_geometry(&geom); - assert!(issues.iter().any(|i| i.contains("clockwise"))); + [1.0, 1.0] + ]))); + assert!(!is_valid(&Geometry::LineString { + coordinates: vec![[0.0, 0.0]] + })); + assert!(is_valid(&Geometry::point(0.0, 0.0))); + assert!(!is_valid(&Geometry::Point { + coordinates: [f64::INFINITY, 0.0] + })); + assert!(is_valid(&Geometry::empty_point())); + assert!(is_valid(&Geometry::empty( + nodedb_types::geometry::GeometryKind::Polygon + ))); + assert_eq!( + validity_reason(&Geometry::point(0.0, 0.0)), + "Valid Geometry" + ); } #[test] - fn geometry_collection_validates_all() { + fn collection_reports_the_member() { let gc = Geometry::GeometryCollection { geometries: vec![ Geometry::point(0.0, 0.0), Geometry::LineString { coordinates: vec![[0.0, 0.0]], - }, // invalid + }, ], }; - let issues = validate_geometry(&gc); - assert!(!issues.is_empty()); + let reasons = validate_geometry(&gc); + assert_eq!(reasons.len(), 1); + assert!( + reasons[0].to_string().starts_with("member 1"), + "{}", + reasons[0] + ); } } diff --git a/nodedb-spatial/src/value.rs b/nodedb-spatial/src/value.rs new file mode 100644 index 000000000..dc17c075c --- /dev/null +++ b/nodedb-spatial/src/value.rs @@ -0,0 +1,120 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The geometry a `Value` holds, and its EWKB. +//! +//! A geometry arrives as the native geometry, its text (GeoJSON, EWKT, WKT, +//! hex EWKB), WKB / EWKB bytes, or a GeoJSON object. Every storage codec +//! reads a geometry cell through these functions. + +use nodedb_types::Value; +use nodedb_types::geometry::{SridGeometry, geojson_object, stored_geojson_object}; + +use crate::error::SpatialError; +use crate::text::{SridCheck, geometry_from_bytes, geometry_from_text}; +use crate::wkb::geometry_to_ewkb; + +/// The geometry `value` holds. `check` resolves or range-checks its SRID. +/// A value of any other type is [`SpatialError::NotGeometryValue`]. +pub fn geometry_from_value( + value: &Value, + check: SridCheck<'_>, +) -> Result { + match value { + Value::Geometry(g) => { + if let SridCheck::Resolve(ctx) = check { + ctx.resolve_u32(g.srid.code())?; + } + Ok(g.clone()) + } + Value::String(s) => geometry_from_text(s, check), + Value::Bytes(b) => geometry_from_bytes(b, check), + Value::Object(_) => Ok(match check { + SridCheck::Resolve(ctx) => geojson_object(value, ctx)?, + SridCheck::Syntax => stored_geojson_object(value)?, + }), + other => Err(SpatialError::NotGeometryValue { + found: other.type_name(), + }), + } +} + +/// The little-endian EWKB of the geometry `value` holds. +pub fn ewkb_of_value(value: &Value, check: SridCheck<'_>) -> Result, SpatialError> { + Ok(geometry_to_ewkb(&geometry_from_value(value, check)?)?) +} + +/// The geometry stored EWKB bytes hold, as a `Value`. The stored SRID is +/// checked for range only. +pub fn value_of_ewkb(bytes: &[u8]) -> Result { + geometry_from_bytes(bytes, SridCheck::Syntax).map(Value::Geometry) +} + +#[cfg(test)] +mod tests { + use std::collections::HashMap; + + use super::*; + use nodedb_types::geometry::{Geometry, Ordinates, Srid}; + + fn point_object(crs: Option<&str>) -> Value { + let mut map = HashMap::new(); + map.insert("type".to_string(), Value::String("Point".into())); + map.insert( + "coordinates".to_string(), + Value::Array(vec![Value::Float(1.0), Value::Float(2.0)]), + ); + if let Some(name) = crs { + let mut props = HashMap::new(); + props.insert("name".to_string(), Value::String(name.into())); + let mut member = HashMap::new(); + member.insert("type".to_string(), Value::String("name".into())); + member.insert("properties".to_string(), Value::Object(props)); + map.insert("crs".to_string(), Value::Object(member)); + } + Value::Object(map) + } + + #[test] + fn every_input_form_round_trips_through_ewkb() { + let zm = SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(); + let native = ewkb_of_value(&Value::Geometry(zm.clone()), SridCheck::Syntax).unwrap(); + assert_eq!(value_of_ewkb(&native), Ok(Value::Geometry(zm))); + let text = Value::String("POINT M (1 2 9)".into()); + let Ok(Value::Geometry(g)) = + value_of_ewkb(&ewkb_of_value(&text, SridCheck::Syntax).unwrap()) + else { + panic!("text form decodes"); + }; + assert_eq!(g.ordinates().m(), Some(&[9.0][..])); + let wkb = Value::Bytes(crate::geometry_to_wkb(&g.force_2d()).unwrap()); + assert!(ewkb_of_value(&wkb, SridCheck::Syntax).is_ok()); + } + + #[test] + fn a_native_geojson_object_decodes_with_its_crs() { + let wgs84 = geometry_from_value(&point_object(None), SridCheck::Syntax).unwrap(); + assert_eq!(wgs84, SridGeometry::wgs84(Geometry::point(1.0, 2.0))); + let stored = + geometry_from_value(&point_object(Some("EPSG:999")), SridCheck::Syntax).unwrap(); + assert_eq!(stored.srid.code(), 999); + let ctx = nodedb_crs::CrsContext::builtin_only(); + assert!(matches!( + geometry_from_value(&point_object(Some("EPSG:999")), SridCheck::Resolve(&ctx)), + Err(SpatialError::GeoJson(_)) + )); + } + + #[test] + fn other_value_types_are_not_geometry() { + assert_eq!( + geometry_from_value(&Value::Integer(1), SridCheck::Syntax), + Err(SpatialError::NotGeometryValue { found: "int" }) + ); + assert!(value_of_ewkb(b"{\"type\":\"Point\"}").is_err()); + } +} diff --git a/nodedb-spatial/src/wkb/error.rs b/nodedb-spatial/src/wkb/error.rs new file mode 100644 index 000000000..817bb3115 --- /dev/null +++ b/nodedb-spatial/src/wkb/error.rs @@ -0,0 +1,44 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKB decode and encode errors. + +use nodedb_types::geometry::{Dimension, OrdinateError}; + +/// Why WKB bytes do not decode, or a geometry does not encode. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum WkbError { + #[error("WKB truncated at byte {offset}")] + Truncated { offset: usize }, + #[error("WKB byte order marker {byte} at byte {offset} is neither 0 nor 1")] + ByteOrder { byte: u8, offset: usize }, + #[error("WKB type word {word:#010x} at byte {offset} names no geometry type")] + UnknownType { word: u32, offset: usize }, + #[error( + "WKB type word {word:#010x} at byte {offset} has EWKB flags and ISO code for different dimensions" + )] + ConflictingDimension { word: u32, offset: usize }, + #[error("WKB {parent} member at byte {offset} is {found}")] + MemberKind { + parent: &'static str, + found: &'static str, + offset: usize, + }, + #[error("WKB collection member at byte {offset} is {member}, the collection is {parent}")] + MemberDimension { + parent: Dimension, + member: Dimension, + offset: usize, + }, + #[error("WKB coordinate at byte {offset} is not finite")] + NonFinite { offset: usize }, + #[error("WKB count {count} exceeds {max} elements")] + TooManyElements { count: usize, max: usize }, + #[error("WKB exceeds {max} bytes")] + TooLarge { max: usize }, + #[error("WKB collection nesting exceeds {max} levels")] + TooDeep { max: usize }, + #[error("{count} bytes follow the WKB geometry")] + Trailing { count: usize }, + #[error("WKB ordinates: {0}")] + Ordinates(#[from] OrdinateError), +} diff --git a/nodedb-spatial/src/wkb/ewkb.rs b/nodedb-spatial/src/wkb/ewkb.rs index 92b652af9..1f1aecd49 100644 --- a/nodedb-spatial/src/wkb/ewkb.rs +++ b/nodedb-spatial/src/wkb/ewkb.rs @@ -1,43 +1,40 @@ // SPDX-License-Identifier: Apache-2.0 -//! PostGIS EWKB writer: ISO WKB with the SRID in the top-level header. +//! PostGIS EWKB writer. use nodedb_types::geometry::SridGeometry; -use super::format::{EWKB_SRID_FLAG, MAX_WKB_BYTES}; -use super::write::{geometry_to_wkb, write_u32}; - -/// Length of the WKB byte-order marker plus type word. -const HEADER_LEN: usize = 5; - -/// Serialize a geometry to little-endian EWKB with its SRID. -/// -/// The top-level type word gains [`EWKB_SRID_FLAG`] and the SRID code -/// follows it. Nested geometries stay plain WKB, as PostGIS writes them. -/// Returns `None` under the same limits as `geometry_to_wkb`. -pub fn geometry_to_ewkb(geom: &SridGeometry) -> Option> { - let iso = geometry_to_wkb(&geom.geometry)?; - if iso.len() + 4 > MAX_WKB_BYTES || iso.len() < HEADER_LEN { - return None; - } - let type_word = u32::from_le_bytes(iso[1..HEADER_LEN].try_into().ok()?); - let mut out = Vec::with_capacity(iso.len() + 4); - out.push(iso[0]); - write_u32(&mut out, type_word | EWKB_SRID_FLAG); - write_u32(&mut out, geom.srid.code()); - out.extend_from_slice(&iso[HEADER_LEN..]); - Some(out) +use super::error::WkbError; +use super::write::{ByteOrder, Convention, encode}; + +/// Serialize to little-endian EWKB: Z / M flags on every type word, the +/// SRID in the top-level header (`ST_AsEWKB`). +pub fn geometry_to_ewkb(g: &SridGeometry) -> Result, WkbError> { + geometry_to_ewkb_ordered(g, ByteOrder::LittleEndian) +} + +/// [`geometry_to_ewkb`] in `order`. +pub fn geometry_to_ewkb_ordered(g: &SridGeometry, order: ByteOrder) -> Result, WkbError> { + encode( + g, + Convention::Ewkb { + srid: g.srid.code(), + }, + order, + ) } #[cfg(test)] mod tests { use super::super::read::geometry_from_wkb; + use super::super::write::geometry_to_wkb; use super::*; use nodedb_types::geometry::{Geometry, Srid}; #[test] fn ewkb_round_trip_keeps_srid() { - for srid in Srid::SUPPORTED { + for code in [4326, 32650, 990_001] { + let srid = Srid::new(code).unwrap(); let g = SridGeometry::new( srid, Geometry::polygon(vec![vec![ @@ -47,16 +44,15 @@ mod tests { [0.0, 0.0], ]]), ); - let bytes = geometry_to_ewkb(&g).unwrap(); - let (geometry, code) = geometry_from_wkb(&bytes).unwrap(); - assert_eq!(geometry, g.geometry); - assert_eq!(code, Some(srid.code())); + let back = geometry_from_wkb(&geometry_to_ewkb(&g).unwrap()).unwrap(); + assert_eq!(back.geometry.geometry(), g.geometry()); + assert_eq!(back.srid, Some(srid.code())); } } #[test] fn iso_wkb_carries_no_srid() { - let iso = geometry_to_wkb(&Geometry::point(1.0, 2.0)).unwrap(); - assert_eq!(geometry_from_wkb(&iso).map(|(_, s)| s), Some(None)); + let iso = geometry_to_wkb(&SridGeometry::wgs84(Geometry::point(1.0, 2.0))).unwrap(); + assert_eq!(geometry_from_wkb(&iso).map(|w| w.srid), Ok(None)); } } diff --git a/nodedb-spatial/src/wkb/format.rs b/nodedb-spatial/src/wkb/format.rs index 9d3d9f75a..fe7fa7a72 100644 --- a/nodedb-spatial/src/wkb/format.rs +++ b/nodedb-spatial/src/wkb/format.rs @@ -1,21 +1,26 @@ // SPDX-License-Identifier: Apache-2.0 -//! WKB type codes and decoder limits shared by the reader and writers. +//! WKB type words, flags and decoder limits shared by the reader and +//! writers. -// WKB geometry type codes (ISO 13249 / OGC SFA). -pub(super) const WKB_POINT: u32 = 1; -pub(super) const WKB_LINESTRING: u32 = 2; -pub(super) const WKB_POLYGON: u32 = 3; -pub(super) const WKB_MULTIPOINT: u32 = 4; -pub(super) const WKB_MULTILINESTRING: u32 = 5; -pub(super) const WKB_MULTIPOLYGON: u32 = 6; -pub(super) const WKB_GEOMETRYCOLLECTION: u32 = 7; +use nodedb_types::geometry::{Dimension, GeometryKind}; +pub(super) const BYTE_ORDER_BE: u8 = 0; pub(super) const BYTE_ORDER_LE: u8 = 1; +/// PostGIS EWKB flag: Z ordinates follow X and Y. +pub const EWKB_Z_FLAG: u32 = 0x8000_0000; +/// PostGIS EWKB flag: M ordinates follow X, Y and Z. +pub const EWKB_M_FLAG: u32 = 0x4000_0000; /// PostGIS EWKB flag: a 4-byte SRID follows the type word. pub const EWKB_SRID_FLAG: u32 = 0x2000_0000; +/// The bits of a type word the EWKB flags do not use. +pub(super) const TYPE_CODE_MASK: u32 = 0x0FFF_FFFF; + +/// ISO 13249 adds 1000 for Z, 2000 for M, 3000 for ZM to the base code. +pub(super) const ISO_DIMENSION_STEP: u32 = 1000; + // WKB count fields are attacker-controlled. The bound caps allocation and // parsing work even when the encoded input itself is very large. pub(super) const MAX_WKB_ELEMENTS: usize = 1_000_000; @@ -23,3 +28,103 @@ pub(super) const MAX_WKB_BYTES: usize = 64 * 1024 * 1024; // Nested geometry collections are recursive on the stack. Keep the budget // explicit so hostile nesting cannot exhaust the decoder thread's stack. pub(super) const MAX_WKB_DEPTH: usize = 64; + +/// The ISO type word of `kind` in `dimension`. +pub(super) fn iso_type_word(kind: GeometryKind, dimension: Dimension) -> u32 { + let step = match dimension { + Dimension::Xy => 0, + Dimension::Xyz => 1, + Dimension::Xym => 2, + Dimension::Xyzm => 3, + }; + kind.wkb_code() + step * ISO_DIMENSION_STEP +} + +/// The EWKB type word of `kind` in `dimension`, SRID flag excluded. +pub(super) fn ewkb_type_word(kind: GeometryKind, dimension: Dimension) -> u32 { + let mut word = kind.wkb_code(); + if dimension.has_z() { + word |= EWKB_Z_FLAG; + } + if dimension.has_m() { + word |= EWKB_M_FLAG; + } + word +} + +/// A decoded type word. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(super) struct TypeWord { + pub kind: GeometryKind, + pub dimension: Dimension, + pub has_srid: bool, +} + +/// Why a type word does not decode. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(super) enum TypeWordError { + UnknownCode, + /// EWKB flags and the ISO thousands name different dimensions. + ConflictingDimension, +} + +/// Decode a type word in either the ISO or the EWKB convention. +pub(super) fn decode_type_word(raw: u32) -> Result { + let code = raw & TYPE_CODE_MASK; + let iso_step = code / ISO_DIMENSION_STEP; + let kind = + GeometryKind::from_wkb_code(code % ISO_DIMENSION_STEP).ok_or(TypeWordError::UnknownCode)?; + let iso = match iso_step { + 0 => None, + 1 => Some(Dimension::Xyz), + 2 => Some(Dimension::Xym), + 3 => Some(Dimension::Xyzm), + _ => return Err(TypeWordError::UnknownCode), + }; + let flags = Dimension::from_flags(raw & EWKB_Z_FLAG != 0, raw & EWKB_M_FLAG != 0); + let dimension = match (iso, flags) { + (None, flags) => flags, + (Some(iso), Dimension::Xy) => iso, + (Some(iso), flags) if iso == flags => iso, + (Some(_), _) => return Err(TypeWordError::ConflictingDimension), + }; + Ok(TypeWord { + kind, + dimension, + has_srid: raw & EWKB_SRID_FLAG != 0, + }) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn iso_and_ewkb_words_decode_alike() { + for dimension in [ + Dimension::Xy, + Dimension::Xyz, + Dimension::Xym, + Dimension::Xyzm, + ] { + for kind in [GeometryKind::Point, GeometryKind::GeometryCollection] { + let iso = decode_type_word(iso_type_word(kind, dimension)).unwrap(); + let ewkb = decode_type_word(ewkb_type_word(kind, dimension)).unwrap(); + assert_eq!(iso, ewkb); + assert_eq!(iso.dimension, dimension); + assert_eq!(iso.kind, kind); + } + } + assert_eq!(iso_type_word(GeometryKind::Point, Dimension::Xyzm), 3001); + } + + #[test] + fn conflicting_and_unknown_words_fail() { + assert_eq!( + decode_type_word(1001 | EWKB_M_FLAG), + Err(TypeWordError::ConflictingDimension) + ); + assert_eq!(decode_type_word(8), Err(TypeWordError::UnknownCode)); + assert_eq!(decode_type_word(4001), Err(TypeWordError::UnknownCode)); + } +} diff --git a/nodedb-spatial/src/wkb/mod.rs b/nodedb-spatial/src/wkb/mod.rs index 678c08189..ee7ee1bb6 100644 --- a/nodedb-spatial/src/wkb/mod.rs +++ b/nodedb-spatial/src/wkb/mod.rs @@ -1,21 +1,20 @@ // SPDX-License-Identifier: Apache-2.0 -//! Well-Known Binary (WKB) serialization for Geometry types. +//! Well-Known Binary (ISO 13249) and PostGIS EWKB, with Z / M / ZM and +//! EMPTY. //! -//! WKB is the standard binary format for geometry interchange (ISO 13249). -//! Used as the Arrow `DataType::Binary` backing for spatial columns, which -//! avoids JSON parse overhead during query execution. -//! -//! Format: `[byte_order: u8] [type: u32] [coordinates...]`. Byte order 1 is -//! little-endian (NDR), 0 is big-endian (XDR). Writers always emit -//! little-endian. The reader accepts both, plus PostGIS EWKB. +//! Format: `[byte_order: u8] [type: u32] [srid: u32 if EWKB] [body]`. Byte +//! order 1 is little-endian (NDR), 0 is big-endian (XDR). Writers emit +//! little-endian. The reader accepts both. +pub mod error; pub mod ewkb; pub mod format; pub mod read; pub mod write; -pub use ewkb::geometry_to_ewkb; -pub use format::EWKB_SRID_FLAG; -pub use read::{geometry_from_wkb, wkb_bbox}; -pub use write::geometry_to_wkb; +pub use error::WkbError; +pub use ewkb::{geometry_to_ewkb, geometry_to_ewkb_ordered}; +pub use format::{EWKB_M_FLAG, EWKB_SRID_FLAG, EWKB_Z_FLAG}; +pub use read::{Wkb, geometry_from_wkb, wkb_bbox}; +pub use write::{ByteOrder, geometry_to_wkb, geometry_to_wkb_ordered}; diff --git a/nodedb-spatial/src/wkb/read.rs b/nodedb-spatial/src/wkb/read.rs index cd236f4a4..c4f698f5a 100644 --- a/nodedb-spatial/src/wkb/read.rs +++ b/nodedb-spatial/src/wkb/read.rs @@ -2,386 +2,627 @@ //! WKB / EWKB reader. //! -//! Accepts ISO WKB and PostGIS EWKB in either byte order. An EWKB type word -//! with [`EWKB_SRID_FLAG`] set carries a 4-byte SRID after it. The reader -//! masks the flag, and reports the top-level SRID to the caller. +//! Accepts ISO WKB (Z / M / ZM as +1000 / +2000 / +3000) and PostGIS EWKB +//! (Z / M / SRID flags) in either byte order. An EMPTY point is all-NaN +//! ordinates. Every member of a multi or collection has the parent's +//! dimension. Only the top-level SRID is reported. +//! +//! Every declared element consumes input bytes. The reader keeps one +//! budget of input bytes promised to declared but unread elements across +//! all nesting levels. A count fits only into the unpromised remainder, so +//! the total reserved capacity stays a small multiple of the input size. -use nodedb_types::geometry::Geometry; +use nodedb_types::geometry::{ + Dimension, Geometry, GeometryKind, OrdinatesBuilder, Srid, SridGeometry, +}; +use super::error::WkbError; use super::format::{ - EWKB_SRID_FLAG, MAX_WKB_BYTES, MAX_WKB_DEPTH, MAX_WKB_ELEMENTS, WKB_GEOMETRYCOLLECTION, - WKB_LINESTRING, WKB_MULTILINESTRING, WKB_MULTIPOINT, WKB_MULTIPOLYGON, WKB_POINT, WKB_POLYGON, + BYTE_ORDER_BE, BYTE_ORDER_LE, MAX_WKB_BYTES, MAX_WKB_DEPTH, MAX_WKB_ELEMENTS, TypeWordError, + decode_type_word, }; -/// Deserialize a Geometry from WKB or EWKB bytes. -/// -/// Returns the geometry and the SRID an EWKB header declares, `None` for -/// ISO WKB. The SRID is the raw code: the caller decides whether it is -/// supported. Returns `None` overall if the bytes are malformed or truncated. -pub fn geometry_from_wkb(data: &[u8]) -> Option<(Geometry, Option)> { +/// Bytes of a header: byte order marker and type word. +const HEADER_BYTES: usize = 5; +/// Bytes of an element count. +const COUNT_BYTES: usize = 4; +/// Bytes of a member header followed by its count. +const NESTED_MEMBER_BYTES: usize = HEADER_BYTES + COUNT_BYTES; + +/// A decoded WKB value. +#[derive(Debug, Clone, PartialEq)] +pub struct Wkb { + /// The SRID an EWKB header declares, unresolved. `None` for ISO WKB. + pub srid: Option, + /// The geometry, tagged WGS 84. The caller retags it once `srid` + /// resolves. + pub geometry: SridGeometry, +} + +/// Decode WKB or EWKB bytes. +pub fn geometry_from_wkb(data: &[u8]) -> Result { if data.len() > MAX_WKB_BYTES { - return None; + return Err(WkbError::TooLarge { max: MAX_WKB_BYTES }); + } + let mut reader = Reader { + data, + cursor: 0, + promised: 0, + ordinates: OrdinatesBuilder::default(), + }; + let header = reader.header()?; + reader.ordinates = OrdinatesBuilder::with_dimension(header.dimension); + let geometry = reader.body(header, MAX_WKB_DEPTH)?; + if reader.cursor != data.len() { + return Err(WkbError::Trailing { + count: data.len() - reader.cursor, + }); } - let mut cursor = 0; - let (geometry, srid) = read_geometry(data, &mut cursor, MAX_WKB_DEPTH)?; - Some((geometry, srid)) + let ordinates = reader.ordinates.finish(); + Ok(Wkb { + srid: header.srid, + geometry: SridGeometry::with_ordinates(Srid::WGS84, geometry, ordinates)?, + }) } -/// Extract bounding box from WKB, in geographic space. -pub fn wkb_bbox(data: &[u8]) -> Option { - let (geom, _) = geometry_from_wkb(data)?; - Some(nodedb_types::geometry_bbox(&geom)) +/// Bounding box of WKB bytes, in geographic space. +pub fn wkb_bbox(data: &[u8]) -> Result { + let wkb = geometry_from_wkb(data)?; + Ok(nodedb_types::geometry_bbox(wkb.geometry.geometry())) } -/// One geometry and the SRID its own header declared. -fn read_geometry( - data: &[u8], - cursor: &mut usize, - depth_remaining: usize, -) -> Option<(Geometry, Option)> { - if depth_remaining == 0 { - return None; - } - let byte_order = read_u8(data, cursor)?; - let is_le = byte_order == 1; - let raw_type = read_u32(data, cursor, is_le)?; - let srid = if raw_type & EWKB_SRID_FLAG != 0 { - Some(read_u32(data, cursor, is_le)?) - } else { - None - }; - let wkb_type = raw_type & !EWKB_SRID_FLAG; - let child = |data: &[u8], cursor: &mut usize| { - read_geometry(data, cursor, depth_remaining - 1).map(|(g, _)| g) - }; +/// One header: byte order, type word and the optional SRID. +#[derive(Debug, Clone, Copy)] +struct Header { + little_endian: bool, + kind: GeometryKind, + dimension: Dimension, + srid: Option, + /// Offset of the byte order marker. + offset: usize, +} - let geometry = match wkb_type { - WKB_POINT => { - let x = read_f64(data, cursor, is_le)?; - let y = read_f64(data, cursor, is_le)?; - Geometry::Point { - coordinates: [x, y], - } +struct Reader<'a> { + data: &'a [u8], + cursor: usize, + /// Input bytes promised to declared elements not yet started. + promised: usize, + ordinates: OrdinatesBuilder, +} + +impl Reader<'_> { + fn header(&mut self) -> Result { + let offset = self.cursor; + let byte = self.u8()?; + let little_endian = match byte { + BYTE_ORDER_LE => true, + BYTE_ORDER_BE => false, + byte => return Err(WkbError::ByteOrder { byte, offset }), + }; + let word = self.u32(little_endian)?; + let decoded = decode_type_word(word).map_err(|e| match e { + TypeWordError::UnknownCode => WkbError::UnknownType { + word, + offset: offset + 1, + }, + TypeWordError::ConflictingDimension => WkbError::ConflictingDimension { + word, + offset: offset + 1, + }, + })?; + let srid = if decoded.has_srid { + Some(self.u32(little_endian)?) + } else { + None + }; + Ok(Header { + little_endian, + kind: decoded.kind, + dimension: decoded.dimension, + srid, + offset, + }) + } + + /// A member header: its dimension must equal the parent's. + fn member(&mut self, parent: Dimension) -> Result { + let header = self.header()?; + if header.dimension != parent { + return Err(WkbError::MemberDimension { + parent, + member: header.dimension, + offset: header.offset, + }); } - WKB_LINESTRING => { - let count = read_u32(data, cursor, is_le)? as usize; - Geometry::LineString { - coordinates: read_coords(data, cursor, count, is_le)?, - } + Ok(header) + } + + /// A member of `parent_kind` that must be a `want`. + fn typed_member(&mut self, parent: Header, want: GeometryKind) -> Result { + let header = self.member(parent.dimension)?; + if header.kind != want { + return Err(WkbError::MemberKind { + parent: parent.kind.name(), + found: header.kind.name(), + offset: header.offset, + }); } - WKB_POLYGON => { - let count = read_u32(data, cursor, is_le)? as usize; - let capacity = checked_wkb_capacity(data, cursor, count, 4)?; - let mut rings = Vec::with_capacity(capacity); - for _ in 0..capacity { - let ring_count = read_u32(data, cursor, is_le)? as usize; - rings.push(read_coords(data, cursor, ring_count, is_le)?); - } - Geometry::Polygon { coordinates: rings } + Ok(header) + } + + fn body(&mut self, h: Header, depth: usize) -> Result { + if depth == 0 { + return Err(WkbError::TooDeep { max: MAX_WKB_DEPTH }); } - WKB_MULTIPOINT => { - let count = read_u32(data, cursor, is_le)? as usize; - let capacity = checked_wkb_capacity(data, cursor, count, 21)?; - let mut coords = Vec::with_capacity(capacity); - for _ in 0..capacity { - let Geometry::Point { coordinates } = child(data, cursor)? else { - return None; - }; - coords.push(coordinates); + let stride = 8 * usize::from(h.dimension.coord_dim()); + let point_member = HEADER_BYTES + stride; + Ok(match h.kind { + GeometryKind::Point => match self.point(h)? { + Some(coordinates) => Geometry::Point { coordinates }, + None => Geometry::empty_point(), + }, + GeometryKind::LineString => Geometry::LineString { + coordinates: self.coords(h)?, + }, + GeometryKind::Polygon => Geometry::Polygon { + coordinates: self.rings(h)?, + }, + GeometryKind::MultiPoint => { + let count = self.checked_wkb_capacity(h.little_endian, point_member)?; + let mut points = Vec::with_capacity(count); + for _ in 0..count { + self.start_element(point_member); + let member = self.typed_member(h, GeometryKind::Point)?; + let offset = self.cursor; + let coordinates = self.point(member)?.ok_or(WkbError::MemberKind { + parent: h.kind.name(), + found: "an EMPTY point", + offset, + })?; + points.push(coordinates); + } + Geometry::MultiPoint { + coordinates: points, + } } - Geometry::MultiPoint { - coordinates: coords, + GeometryKind::MultiLineString => { + let count = self.checked_wkb_capacity(h.little_endian, NESTED_MEMBER_BYTES)?; + let mut lines = Vec::with_capacity(count); + for _ in 0..count { + self.start_element(NESTED_MEMBER_BYTES); + let member = self.typed_member(h, GeometryKind::LineString)?; + lines.push(self.coords(member)?); + } + Geometry::MultiLineString { coordinates: lines } } - } - WKB_MULTILINESTRING => { - let count = read_u32(data, cursor, is_le)? as usize; - let capacity = checked_wkb_capacity(data, cursor, count, 5)?; - let mut lines = Vec::with_capacity(capacity); - for _ in 0..capacity { - let Geometry::LineString { coordinates } = child(data, cursor)? else { - return None; - }; - lines.push(coordinates); + GeometryKind::MultiPolygon => { + let count = self.checked_wkb_capacity(h.little_endian, NESTED_MEMBER_BYTES)?; + let mut polygons = Vec::with_capacity(count); + for _ in 0..count { + self.start_element(NESTED_MEMBER_BYTES); + let member = self.typed_member(h, GeometryKind::Polygon)?; + polygons.push(self.rings(member)?); + } + Geometry::MultiPolygon { + coordinates: polygons, + } } - Geometry::MultiLineString { coordinates: lines } - } - WKB_MULTIPOLYGON => { - let count = read_u32(data, cursor, is_le)? as usize; - let capacity = checked_wkb_capacity(data, cursor, count, 5)?; - let mut polys = Vec::with_capacity(capacity); - for _ in 0..capacity { - let Geometry::Polygon { coordinates } = child(data, cursor)? else { - return None; - }; - polys.push(coordinates); + GeometryKind::GeometryCollection => { + let count = self.checked_wkb_capacity(h.little_endian, HEADER_BYTES)?; + let mut geometries = Vec::with_capacity(count); + for _ in 0..count { + self.start_element(HEADER_BYTES); + let member = self.member(h.dimension)?; + geometries.push(self.body(member, depth - 1)?); + } + Geometry::GeometryCollection { geometries } } - Geometry::MultiPolygon { coordinates: polys } + }) + } + + /// A point body. All-NaN ordinates are the EMPTY point (`None`) and + /// record no coordinate. + fn point(&mut self, h: Header) -> Result, WkbError> { + let offset = self.cursor; + let values = self.ordinate_values(h)?; + let used = usize::from(h.dimension.coord_dim()); + if values[..used].iter().all(|v| v.is_nan()) { + return Ok(None); } - WKB_GEOMETRYCOLLECTION => { - let count = read_u32(data, cursor, is_le)? as usize; - let capacity = checked_wkb_capacity(data, cursor, count, 5)?; - let mut geoms = Vec::with_capacity(capacity); - for _ in 0..capacity { - geoms.push(child(data, cursor)?); - } - Geometry::GeometryCollection { geometries: geoms } + self.record(values, h.dimension, offset).map(Some) + } + + /// A polygon body: a ring count, then each ring. + fn rings(&mut self, h: Header) -> Result>, WkbError> { + let count = self.checked_wkb_capacity(h.little_endian, COUNT_BYTES)?; + let mut rings = Vec::with_capacity(count); + for _ in 0..count { + self.start_element(COUNT_BYTES); + rings.push(self.coords(h)?); } - _ => return None, - }; - Some((geometry, srid)) -} + Ok(rings) + } -/// Validate an untrusted count before using it as a vector capacity. -/// -/// Every encoded element must occupy at least `min_encoded_bytes` after the -/// current cursor. This makes a truncated count fail before allocation, while -/// the independent element cap bounds work on large valid inputs. -fn checked_wkb_capacity( - data: &[u8], - cursor: &usize, - count: usize, - min_encoded_bytes: usize, -) -> Option { - if count > MAX_WKB_ELEMENTS { - return None; - } - let required = count.checked_mul(min_encoded_bytes)?; - let remaining = data.len().checked_sub(*cursor)?; - (required <= remaining).then_some(count) -} + fn coords(&mut self, h: Header) -> Result, WkbError> { + let stride = 8 * usize::from(h.dimension.coord_dim()); + let count = self.checked_wkb_capacity(h.little_endian, stride)?; + let mut coords = Vec::with_capacity(count); + for _ in 0..count { + self.start_element(stride); + let offset = self.cursor; + let values = self.ordinate_values(h)?; + coords.push(self.record(values, h.dimension, offset)?); + } + Ok(coords) + } -fn read_u8(data: &[u8], cursor: &mut usize) -> Option { - let val = *data.get(*cursor)?; - *cursor += 1; - Some(val) -} + /// The 2 to 4 ordinates of one coordinate. + fn ordinate_values(&mut self, h: Header) -> Result<[f64; 4], WkbError> { + let mut values = [0.0; 4]; + for slot in values.iter_mut().take(usize::from(h.dimension.coord_dim())) { + *slot = self.f64(h.little_endian)?; + } + Ok(values) + } -fn read_u32(data: &[u8], cursor: &mut usize, is_le: bool) -> Option { - let bytes: [u8; 4] = data.get(*cursor..*cursor + 4)?.try_into().ok()?; - *cursor += 4; - Some(if is_le { - u32::from_le_bytes(bytes) - } else { - u32::from_be_bytes(bytes) - }) -} + /// Check one coordinate's ordinates and record its Z and M. + fn record( + &mut self, + values: [f64; 4], + dimension: Dimension, + offset: usize, + ) -> Result<[f64; 2], WkbError> { + let used = usize::from(dimension.coord_dim()); + if values[..used].iter().any(|v| !v.is_finite()) { + return Err(WkbError::NonFinite { offset }); + } + let z = dimension.has_z().then_some(values[2]); + let m = dimension + .has_m() + .then_some(values[if dimension.has_z() { 3 } else { 2 }]); + self.ordinates.push(z, m)?; + Ok([values[0], values[1]]) + } -fn read_f64(data: &[u8], cursor: &mut usize, is_le: bool) -> Option { - let bytes: [u8; 8] = data.get(*cursor..*cursor + 8)?.try_into().ok()?; - *cursor += 8; - Some(if is_le { - f64::from_le_bytes(bytes) - } else { - f64::from_be_bytes(bytes) - }) -} + /// An element count whose elements occupy at least `min_bytes` each. + /// The elements claim their bytes from the unpromised input. A count + /// that does not fit fails before any allocation. + fn checked_wkb_capacity( + &mut self, + little_endian: bool, + min_bytes: usize, + ) -> Result { + let offset = self.cursor; + let count = self.u32(little_endian)? as usize; + if count > MAX_WKB_ELEMENTS { + return Err(WkbError::TooManyElements { + count, + max: MAX_WKB_ELEMENTS, + }); + } + let required = count.saturating_mul(min_bytes); + let unpromised = self + .data + .len() + .saturating_sub(self.cursor) + .saturating_sub(self.promised); + if required > unpromised { + return Err(WkbError::Truncated { offset }); + } + self.promised += required; + Ok(count) + } + + /// Start reading one declared element: release its promised bytes. + /// Its fixed part consumes at least these bytes before any nested + /// count claims more. + fn start_element(&mut self, min_bytes: usize) { + self.promised = self.promised.saturating_sub(min_bytes); + } + + fn take(&mut self) -> Result<[u8; N], WkbError> { + let end = self.cursor.checked_add(N).ok_or(WkbError::Truncated { + offset: self.cursor, + })?; + let bytes: [u8; N] = self + .data + .get(self.cursor..end) + .and_then(|s| s.try_into().ok()) + .ok_or(WkbError::Truncated { + offset: self.cursor, + })?; + self.cursor = end; + Ok(bytes) + } + + fn u8(&mut self) -> Result { + self.take::<1>().map(|b| b[0]) + } -fn read_coords( - data: &[u8], - cursor: &mut usize, - count: usize, - is_le: bool, -) -> Option> { - let capacity = checked_wkb_capacity(data, cursor, count, 16)?; - let mut coords = Vec::with_capacity(capacity); - for _ in 0..capacity { - let x = read_f64(data, cursor, is_le)?; - let y = read_f64(data, cursor, is_le)?; - coords.push([x, y]); - } - Some(coords) + fn u32(&mut self, little_endian: bool) -> Result { + let bytes = self.take::<4>()?; + Ok(if little_endian { + u32::from_le_bytes(bytes) + } else { + u32::from_be_bytes(bytes) + }) + } + + fn f64(&mut self, little_endian: bool) -> Result { + let bytes = self.take::<8>()?; + Ok(if little_endian { + f64::from_le_bytes(bytes) + } else { + f64::from_be_bytes(bytes) + }) + } } #[cfg(test)] mod tests { - use super::super::write::{geometry_to_wkb as encode, write_header, write_u32}; + use super::super::ewkb::geometry_to_ewkb; + use super::super::format::{EWKB_SRID_FLAG, EWKB_Z_FLAG}; + use super::super::write::geometry_to_wkb; use super::*; + use nodedb_types::geometry::Ordinates; - fn geometry_to_wkb(geometry: &Geometry) -> Vec { - encode(geometry).expect("test geometry must fit WKB limits") + fn xy(g: Geometry) -> SridGeometry { + SridGeometry::wgs84(g) } - fn decode(wkb: &[u8]) -> Option { - geometry_from_wkb(wkb).map(|(g, _)| g) + fn decode(bytes: &[u8]) -> Result { + geometry_from_wkb(bytes).map(|w| w.geometry) } - #[test] - fn point_roundtrip() { - let geom = Geometry::point(-73.9857, 40.7484); - let wkb = geometry_to_wkb(&geom); - assert_eq!(geometry_from_wkb(&wkb), Some((geom, None))); + fn header(buf: &mut Vec, word: u32) { + buf.push(1); + buf.extend_from_slice(&word.to_le_bytes()); + } + + fn shapes() -> Vec { + vec![ + Geometry::point(-73.9857, 40.7484), + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0], [2.0, 0.0]]), + Geometry::polygon(vec![ + vec![ + [0.0, 0.0], + [10.0, 0.0], + [10.0, 10.0], + [0.0, 10.0], + [0.0, 0.0], + ], + vec![[2.0, 2.0], [3.0, 2.0], [3.0, 3.0], [2.0, 3.0], [2.0, 2.0]], + ]), + Geometry::MultiPoint { + coordinates: vec![[1.0, 2.0], [3.0, 4.0], [5.0, 6.0]], + }, + Geometry::MultiLineString { + coordinates: vec![vec![[0.0, 0.0], [1.0, 1.0]], vec![[2.0, 2.0], [4.0, 2.0]]], + }, + Geometry::MultiPolygon { + coordinates: vec![ + vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]], + vec![vec![[5.0, 5.0], [6.0, 5.0], [6.0, 6.0], [5.0, 5.0]]], + ], + }, + Geometry::GeometryCollection { + geometries: vec![ + Geometry::point(1.0, 2.0), + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), + ], + }, + ] } #[test] - fn linestring_roundtrip() { - let geom = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0], [2.0, 0.0]]); - assert_eq!(decode(&geometry_to_wkb(&geom)), Some(geom)); + fn xy_shapes_round_trip() { + for g in shapes() { + let g = xy(g); + let wkb = geometry_to_wkb(&g).unwrap(); + assert_eq!(decode(&wkb), Ok(g)); + } } #[test] - fn polygon_roundtrip() { - let geom = Geometry::polygon(vec![ - vec![ - [0.0, 0.0], - [10.0, 0.0], - [10.0, 10.0], - [0.0, 10.0], - [0.0, 0.0], - ], - vec![[2.0, 2.0], [3.0, 2.0], [3.0, 3.0], [2.0, 3.0], [2.0, 2.0]], // hole - ]); - assert_eq!(decode(&geometry_to_wkb(&geom)), Some(geom)); + fn z_m_and_zm_round_trip_in_iso_and_ewkb() { + for g in shapes() { + let n = g.coord_count(); + let seq = |k: f64| (0..n).map(|i| k + i as f64).collect::>(); + for ordinates in [ + Ordinates::new(Some(seq(100.0)), None), + Ordinates::new(None, Some(seq(200.0))), + Ordinates::new(Some(seq(100.0)), Some(seq(200.0))), + ] { + let g = SridGeometry::with_ordinates(Srid::WGS84, g.clone(), ordinates).unwrap(); + let iso = geometry_to_wkb(&g).unwrap(); + assert_eq!(decode(&iso), Ok(g.clone())); + let ewkb = geometry_to_ewkb(&g).unwrap(); + let back = geometry_from_wkb(&ewkb).unwrap(); + assert_eq!(back.srid, Some(4326)); + assert_eq!(back.geometry, g); + } + } } #[test] - fn multipoint_roundtrip() { - let geom = Geometry::MultiPoint { - coordinates: vec![[1.0, 2.0], [3.0, 4.0], [5.0, 6.0]], - }; - assert_eq!(decode(&geometry_to_wkb(&geom)), Some(geom)); + fn iso_point_zm_layout() { + let g = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(); + let wkb = geometry_to_wkb(&g).unwrap(); + assert_eq!(wkb.len(), 5 + 32); + assert_eq!(u32::from_le_bytes(wkb[1..5].try_into().unwrap()), 3001); } #[test] - fn multilinestring_roundtrip() { - let geom = Geometry::MultiLineString { - coordinates: vec![ - vec![[0.0, 0.0], [1.0, 1.0]], - vec![[2.0, 2.0], [3.0, 3.0], [4.0, 2.0]], - ], - }; - assert_eq!(decode(&geometry_to_wkb(&geom)), Some(geom)); + fn empty_geometries_round_trip() { + for kind in [ + GeometryKind::Point, + GeometryKind::LineString, + GeometryKind::Polygon, + GeometryKind::MultiPoint, + GeometryKind::MultiLineString, + GeometryKind::MultiPolygon, + GeometryKind::GeometryCollection, + ] { + let g = xy(Geometry::empty(kind)); + let back = decode(&geometry_to_wkb(&g).unwrap()).unwrap(); + assert!(back.is_empty(), "{kind:?}"); + assert_eq!(back.geometry().kind(), kind); + } } #[test] - fn multipolygon_roundtrip() { - let geom = Geometry::MultiPolygon { - coordinates: vec![ - vec![vec![ - [0.0, 0.0], - [1.0, 0.0], - [1.0, 1.0], - [0.0, 1.0], - [0.0, 0.0], - ]], - vec![vec![ - [5.0, 5.0], - [6.0, 5.0], - [6.0, 6.0], - [5.0, 6.0], - [5.0, 5.0], - ]], - ], - }; - assert_eq!(decode(&geometry_to_wkb(&geom)), Some(geom)); + fn member_dimension_must_match() { + let mut wkb = Vec::new(); + header(&mut wkb, 1007); // GEOMETRYCOLLECTION Z + wkb.extend_from_slice(&1u32.to_le_bytes()); + header(&mut wkb, 1); // POINT (XY) + wkb.extend_from_slice(&1.0f64.to_le_bytes()); + wkb.extend_from_slice(&2.0f64.to_le_bytes()); + assert!(matches!( + decode(&wkb), + Err(WkbError::MemberDimension { .. }) + )); } #[test] - fn geometry_collection_roundtrip() { - let geom = Geometry::GeometryCollection { - geometries: vec![ - Geometry::point(1.0, 2.0), - Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), - ], - }; - assert_eq!(decode(&geometry_to_wkb(&geom)), Some(geom)); + fn ewkb_flags_and_srid_are_read() { + let mut wkb = Vec::new(); + header(&mut wkb, 1 | EWKB_Z_FLAG | EWKB_SRID_FLAG); + wkb.extend_from_slice(&32648u32.to_le_bytes()); + for v in [1.0f64, 2.0, 3.0] { + wkb.extend_from_slice(&v.to_le_bytes()); + } + let w = geometry_from_wkb(&wkb).unwrap(); + assert_eq!(w.srid, Some(32648)); + assert_eq!(w.geometry.ordinates().z(), Some(&[3.0][..])); } #[test] - fn parsed_max_counts_are_rejected_before_allocation() { - for geometry_type in [ - WKB_LINESTRING, - WKB_POLYGON, - WKB_MULTIPOINT, - WKB_MULTILINESTRING, - WKB_MULTIPOLYGON, - WKB_GEOMETRYCOLLECTION, - ] { - let mut wkb = Vec::new(); - write_header(&mut wkb, geometry_type); - write_u32(&mut wkb, u32::MAX); - assert!(decode(&wkb).is_none(), "type={geometry_type}"); + fn big_endian_is_read() { + let mut wkb = vec![0u8]; + wkb.extend_from_slice(&1001u32.to_be_bytes()); + for v in [1.0f64, 2.0, 3.0] { + wkb.extend_from_slice(&v.to_be_bytes()); } + assert_eq!(decode(&wkb).unwrap().ordinates().z(), Some(&[3.0][..])); } #[test] - fn truncated_count_bodies_are_rejected_before_allocation() { - for geometry_type in [ - WKB_LINESTRING, - WKB_POLYGON, - WKB_MULTIPOINT, - WKB_MULTILINESTRING, - WKB_MULTIPOLYGON, - WKB_GEOMETRYCOLLECTION, - ] { - let mut wkb = Vec::new(); - write_header(&mut wkb, geometry_type); - write_u32(&mut wkb, 1); - assert!(decode(&wkb).is_none(), "type={geometry_type}"); + fn malformed_bytes_are_errors() { + let wkb = geometry_to_wkb(&xy(Geometry::point(1.0, 2.0))).unwrap(); + assert!(matches!(decode(&wkb[..3]), Err(WkbError::Truncated { .. }))); + assert!(matches!(decode(&[]), Err(WkbError::Truncated { .. }))); + let mut bad = wkb.clone(); + bad[1] = 99; + assert!(matches!(decode(&bad), Err(WkbError::UnknownType { .. }))); + let mut order = wkb.clone(); + order[0] = 7; + assert!(matches!(decode(&order), Err(WkbError::ByteOrder { .. }))); + let mut trailing = wkb; + trailing.push(0); + assert_eq!(decode(&trailing), Err(WkbError::Trailing { count: 1 })); + } + + #[test] + fn oversized_and_truncated_counts_fail_before_allocation() { + for code in [2u32, 3, 4, 5, 6, 7] { + for count in [u32::MAX, 1] { + let mut wkb = Vec::new(); + header(&mut wkb, code); + wkb.extend_from_slice(&count.to_le_bytes()); + assert!(decode(&wkb).is_err(), "type={code} count={count}"); + } } } #[test] - fn geometry_collection_depth_is_bounded() { - let mut valid = Geometry::point(1.0, 2.0); - for _ in 0..MAX_WKB_DEPTH - 1 { - valid = Geometry::GeometryCollection { - geometries: vec![valid], - }; + fn nested_counts_share_one_budget() { + // The outer collection promises every remaining byte to its members, + // so the first member cannot claim the same bytes again. + let padding = 100usize; + let mut wkb = Vec::new(); + header(&mut wkb, 7); + let outer = (HEADER_BYTES + COUNT_BYTES + padding) / HEADER_BYTES; + wkb.extend_from_slice(&(outer as u32).to_le_bytes()); + header(&mut wkb, 7); + let inner_count_offset = wkb.len(); + wkb.extend_from_slice(&2u32.to_le_bytes()); + wkb.extend(std::iter::repeat_n(0u8, padding)); + assert_eq!( + decode(&wkb), + Err(WkbError::Truncated { + offset: inner_count_offset + }) + ); + } + + #[test] + fn deep_nesting_reserves_capacity_once() { + // Every level declares the largest count the input admits. Only the + // outermost claim fits, so the reader rejects the second level. + let mut wkb = Vec::new(); + let levels = 32usize; + for _ in 0..levels { + header(&mut wkb, 7); + wkb.extend_from_slice(&0u32.to_le_bytes()); } - let valid_wkb = geometry_to_wkb(&valid); - assert_eq!(decode(&valid_wkb), Some(valid)); + let total = wkb.len() + 4096; + let mut cursor = 0usize; + for _ in 0..levels { + let count_at = cursor + HEADER_BYTES; + let after = count_at + COUNT_BYTES; + let count = (total - after) / HEADER_BYTES; + wkb[count_at..after].copy_from_slice(&(count as u32).to_le_bytes()); + cursor = after; + } + wkb.resize(total, 0); + assert_eq!( + decode(&wkb), + Err(WkbError::Truncated { + offset: 2 * HEADER_BYTES + COUNT_BYTES + }) + ); + } + #[test] + fn collection_depth_is_bounded() { let mut too_deep = Geometry::point(1.0, 2.0); for _ in 0..MAX_WKB_DEPTH { too_deep = Geometry::GeometryCollection { geometries: vec![too_deep], }; } - assert!(encode(&too_deep).is_none()); - } - - #[test] - fn truncated_data_returns_none() { - let wkb = geometry_to_wkb(&Geometry::point(1.0, 2.0)); - assert!(decode(&wkb[..3]).is_none()); - assert!(decode(&[]).is_none()); - } - - #[test] - fn invalid_type_returns_none() { - let mut wkb = geometry_to_wkb(&Geometry::point(1.0, 2.0)); - wkb[1] = 99; // invalid WKB type - assert!(decode(&wkb).is_none()); + assert!(geometry_to_wkb(&xy(too_deep)).is_err()); } #[test] - fn ewkb_srid_flag_is_masked_and_reported() { - // EWKB POINT(1 2) SRID=32648, little-endian. + fn nan_inside_a_line_is_refused() { let mut wkb = Vec::new(); - write_header(&mut wkb, WKB_POINT | EWKB_SRID_FLAG); - write_u32(&mut wkb, 32648); - wkb.extend_from_slice(&1.0f64.to_le_bytes()); - wkb.extend_from_slice(&2.0f64.to_le_bytes()); - assert_eq!( - geometry_from_wkb(&wkb), - Some((Geometry::point(1.0, 2.0), Some(32648))) - ); + header(&mut wkb, 2); + wkb.extend_from_slice(&1u32.to_le_bytes()); + wkb.extend_from_slice(&f64::NAN.to_le_bytes()); + wkb.extend_from_slice(&0.0f64.to_le_bytes()); + assert!(matches!(decode(&wkb), Err(WkbError::NonFinite { .. }))); } #[test] - fn wkb_bbox_extraction() { - let geom = Geometry::polygon(vec![vec![ + fn bbox_of_wkb() { + let g = xy(Geometry::polygon(vec![vec![ [-10.0, -5.0], [10.0, -5.0], [10.0, 5.0], [-10.0, 5.0], [-10.0, -5.0], - ]]); - let wkb = geometry_to_wkb(&geom); - let bb = wkb_bbox(&wkb).unwrap(); - assert_eq!(bb.min_lng, -10.0); - assert_eq!(bb.max_lng, 10.0); - assert_eq!(bb.min_lat, -5.0); - assert_eq!(bb.max_lat, 5.0); + ]])); + let bb = wkb_bbox(&geometry_to_wkb(&g).unwrap()).unwrap(); + assert_eq!( + (bb.min_lng, bb.max_lng, bb.min_lat, bb.max_lat), + (-10.0, 10.0, -5.0, 5.0) + ); } } diff --git a/nodedb-spatial/src/wkb/write.rs b/nodedb-spatial/src/wkb/write.rs index 4c188102f..10fe46123 100644 --- a/nodedb-spatial/src/wkb/write.rs +++ b/nodedb-spatial/src/wkb/write.rs @@ -1,226 +1,323 @@ // SPDX-License-Identifier: Apache-2.0 -//! ISO WKB writer (little-endian, no SRID). +//! WKB writers: ISO WKB and PostGIS EWKB, little-endian. +//! +//! Both writers carry Z and M. ISO WKB adds 1000 / 2000 / 3000 to the type +//! code. EWKB sets the Z / M flags on every type word and puts the SRID in +//! the top-level header only, as PostGIS writes it. An EMPTY point writes +//! NaN for every ordinate. Output is little-endian unless a caller asks +//! for big-endian. -use nodedb_types::geometry::Geometry; +use nodedb_types::geometry::{Dimension, Geometry, GeometryKind, Ordinates, SridGeometry}; +use super::error::WkbError; use super::format::{ - BYTE_ORDER_LE, MAX_WKB_BYTES, MAX_WKB_DEPTH, MAX_WKB_ELEMENTS, WKB_GEOMETRYCOLLECTION, - WKB_LINESTRING, WKB_MULTILINESTRING, WKB_MULTIPOINT, WKB_MULTIPOLYGON, WKB_POINT, WKB_POLYGON, + BYTE_ORDER_BE, BYTE_ORDER_LE, EWKB_SRID_FLAG, MAX_WKB_BYTES, MAX_WKB_DEPTH, MAX_WKB_ELEMENTS, + ewkb_type_word, iso_type_word, }; -/// Serialize a Geometry to ISO WKB (little-endian). Carries no SRID. +/// WKB byte order. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)] +pub enum ByteOrder { + /// NDR, marker 1. + #[default] + LittleEndian, + /// XDR, marker 0. + BigEndian, +} + +/// Serialize to little-endian ISO WKB. Carries Z and M, no SRID. /// -/// Returns `None` when the geometry exceeds the decoder's element or nesting -/// limits, ensuring every emitted WKB value remains decodable. -pub fn geometry_to_wkb(geom: &Geometry) -> Option> { - let encoded_size = checked_encoded_size(geom, MAX_WKB_DEPTH)?; - let mut buf = Vec::with_capacity(encoded_size); - write_geometry(&mut buf, geom, MAX_WKB_DEPTH)?; - debug_assert_eq!(buf.len(), encoded_size); - Some(buf) +/// Fails when the geometry exceeds the decoder's element, size or nesting +/// limits, so every emitted value stays decodable. +pub fn geometry_to_wkb(g: &SridGeometry) -> Result, WkbError> { + encode(g, Convention::Iso, ByteOrder::LittleEndian) +} + +/// [`geometry_to_wkb`] in `order`. +pub fn geometry_to_wkb_ordered(g: &SridGeometry, order: ByteOrder) -> Result, WkbError> { + encode(g, Convention::Iso, order) +} + +/// The type-word convention of a writer. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(super) enum Convention { + Iso, + /// EWKB with the SRID in the top-level header. + Ewkb { + srid: u32, + }, +} + +pub(super) fn encode( + g: &SridGeometry, + convention: Convention, + order: ByteOrder, +) -> Result, WkbError> { + let dimension = g.dimension(); + let stride = 8 * usize::from(dimension.coord_dim()); + let srid_bytes = match convention { + Convention::Iso => 0, + Convention::Ewkb { .. } => 4, + }; + let size = encoded_size(g.geometry(), stride, MAX_WKB_DEPTH)? + .checked_add(srid_bytes) + .filter(|s| *s <= MAX_WKB_BYTES) + .ok_or(WkbError::TooLarge { max: MAX_WKB_BYTES })?; + let mut writer = Writer { + buf: Vec::with_capacity(size), + ordinates: g.ordinates(), + dimension, + convention, + order, + index: 0, + }; + writer.geometry(g.geometry(), true); + debug_assert_eq!(writer.buf.len(), size); + Ok(writer.buf) } -pub(super) fn checked_encoded_size(geom: &Geometry, depth_remaining: usize) -> Option { - if depth_remaining == 0 { - return None; +/// Encoded size of `geom` whose coordinates take `stride` bytes each. +fn encoded_size(geom: &Geometry, stride: usize, depth: usize) -> Result { + if depth == 0 { + return Err(WkbError::TooDeep { max: MAX_WKB_DEPTH }); } + let path = |len: usize| -> Result { + checked_count(len)?; + add(4, mul(len, stride)?) + }; let size = match geom { - Geometry::Point { .. } => 21, - Geometry::LineString { coordinates } => { - checked_count(coordinates.len())?; - bounded_add(9, coordinates.len().checked_mul(16)?)? - } + Geometry::Point { .. } => 5 + stride, + Geometry::LineString { coordinates } => add(5, path(coordinates.len())?)?, Geometry::Polygon { coordinates } => { checked_count(coordinates.len())?; - let mut size = 9usize; - for ring in coordinates { - checked_count(ring.len())?; - size = bounded_add(size, bounded_add(4, ring.len().checked_mul(16)?)?)?; - } - size + coordinates + .iter() + .try_fold(9usize, |acc, ring| add(acc, path(ring.len())?))? } Geometry::MultiPoint { coordinates } => { checked_count(coordinates.len())?; - bounded_add(9, coordinates.len().checked_mul(21)?)? + add(9, mul(coordinates.len(), 5 + stride)?)? } Geometry::MultiLineString { coordinates } => { - if depth_remaining == 1 { - return None; + if depth == 1 { + return Err(WkbError::TooDeep { max: MAX_WKB_DEPTH }); } checked_count(coordinates.len())?; - let mut size = 9usize; - for line in coordinates { - checked_count(line.len())?; - size = bounded_add(size, bounded_add(9, line.len().checked_mul(16)?)?)?; - } - size + coordinates + .iter() + .try_fold(9usize, |acc, line| add(acc, add(5, path(line.len())?)?))? } Geometry::MultiPolygon { coordinates } => { - if depth_remaining == 1 { - return None; + if depth == 1 { + return Err(WkbError::TooDeep { max: MAX_WKB_DEPTH }); } checked_count(coordinates.len())?; - let mut size = 9usize; - for polygon in coordinates { + coordinates.iter().try_fold(9usize, |acc, polygon| { checked_count(polygon.len())?; - let mut polygon_size = 9usize; - for ring in polygon { - checked_count(ring.len())?; - polygon_size = - bounded_add(polygon_size, bounded_add(4, ring.len().checked_mul(16)?)?)?; - } - size = bounded_add(size, polygon_size)?; - } - size + let rings = polygon + .iter() + .try_fold(9usize, |acc, ring| add(acc, path(ring.len())?))?; + add(acc, rings) + })? } Geometry::GeometryCollection { geometries } => { checked_count(geometries.len())?; - let mut size = 9usize; - for geometry in geometries { - size = bounded_add(size, checked_encoded_size(geometry, depth_remaining - 1)?)?; - } - size + geometries.iter().try_fold(9usize, |acc, member| { + add(acc, encoded_size(member, stride, depth - 1)?) + })? } - _ => 9, }; - (size <= MAX_WKB_BYTES).then_some(size) + if size > MAX_WKB_BYTES { + return Err(WkbError::TooLarge { max: MAX_WKB_BYTES }); + } + Ok(size) } -fn checked_count(count: usize) -> Option<()> { - (count <= MAX_WKB_ELEMENTS && u32::try_from(count).is_ok()).then_some(()) +fn checked_count(count: usize) -> Result<(), WkbError> { + if count > MAX_WKB_ELEMENTS || u32::try_from(count).is_err() { + return Err(WkbError::TooManyElements { + count, + max: MAX_WKB_ELEMENTS, + }); + } + Ok(()) } -fn bounded_add(left: usize, right: usize) -> Option { +fn add(left: usize, right: usize) -> Result { left.checked_add(right) - .filter(|&size| size <= MAX_WKB_BYTES) + .filter(|size| *size <= MAX_WKB_BYTES) + .ok_or(WkbError::TooLarge { max: MAX_WKB_BYTES }) } -fn write_geometry(buf: &mut Vec, geom: &Geometry, depth_remaining: usize) -> Option<()> { - if depth_remaining == 0 { - return None; - } - match geom { - Geometry::Point { coordinates } => { - write_header(buf, WKB_POINT); - write_f64(buf, coordinates[0]); - write_f64(buf, coordinates[1]); - } - Geometry::LineString { coordinates } => { - write_header(buf, WKB_LINESTRING); - write_count(buf, coordinates.len())?; - for c in coordinates { - write_f64(buf, c[0]); - write_f64(buf, c[1]); +fn mul(left: usize, right: usize) -> Result { + left.checked_mul(right) + .filter(|size| *size <= MAX_WKB_BYTES) + .ok_or(WkbError::TooLarge { max: MAX_WKB_BYTES }) +} + +struct Writer<'a> { + buf: Vec, + ordinates: &'a Ordinates, + dimension: Dimension, + convention: Convention, + order: ByteOrder, + /// Index of the next coordinate in traversal order. + index: usize, +} + +impl Writer<'_> { + fn header(&mut self, kind: GeometryKind, top: bool) { + self.buf.push(match self.order { + ByteOrder::LittleEndian => BYTE_ORDER_LE, + ByteOrder::BigEndian => BYTE_ORDER_BE, + }); + match self.convention { + Convention::Iso => self.u32(iso_type_word(kind, self.dimension)), + Convention::Ewkb { srid } if top => { + self.u32(ewkb_type_word(kind, self.dimension) | EWKB_SRID_FLAG); + self.u32(srid); } + Convention::Ewkb { .. } => self.u32(ewkb_type_word(kind, self.dimension)), } - Geometry::Polygon { coordinates } => { - write_header(buf, WKB_POLYGON); - write_count(buf, coordinates.len())?; - for ring in coordinates { - write_count(buf, ring.len())?; - for c in ring { - write_f64(buf, c[0]); - write_f64(buf, c[1]); + } + + /// `encoded_size` runs first and bounds every count to + /// `MAX_WKB_ELEMENTS`, so the count fits a `u32`. + fn count(&mut self, count: usize) { + self.u32(count as u32); + } + + fn geometry(&mut self, geom: &Geometry, top: bool) { + self.header(geom.kind(), top); + match geom { + Geometry::Point { .. } if geom.is_empty() => { + for _ in 0..self.dimension.coord_dim() { + self.f64(f64::NAN); } } - } - Geometry::MultiPoint { coordinates } => { - write_header(buf, WKB_MULTIPOINT); - write_count(buf, coordinates.len())?; - for c in coordinates { - write_header(buf, WKB_POINT); - write_f64(buf, c[0]); - write_f64(buf, c[1]); + Geometry::Point { coordinates } => self.coord(*coordinates), + Geometry::LineString { coordinates } => self.path(coordinates), + Geometry::Polygon { coordinates } => self.rings(coordinates), + Geometry::MultiPoint { coordinates } => { + self.count(coordinates.len()); + for c in coordinates { + self.header(GeometryKind::Point, false); + self.coord(*c); + } } - } - Geometry::MultiLineString { coordinates } => { - write_header(buf, WKB_MULTILINESTRING); - write_count(buf, coordinates.len())?; - for ls in coordinates { - write_geometry( - buf, - &Geometry::LineString { - coordinates: ls.clone(), - }, - depth_remaining - 1, - )?; + Geometry::MultiLineString { coordinates } => { + self.count(coordinates.len()); + for line in coordinates { + self.header(GeometryKind::LineString, false); + self.path(line); + } } - } - Geometry::MultiPolygon { coordinates } => { - write_header(buf, WKB_MULTIPOLYGON); - write_count(buf, coordinates.len())?; - for poly in coordinates { - write_geometry( - buf, - &Geometry::Polygon { - coordinates: poly.clone(), - }, - depth_remaining - 1, - )?; + Geometry::MultiPolygon { coordinates } => { + self.count(coordinates.len()); + for polygon in coordinates { + self.header(GeometryKind::Polygon, false); + self.rings(polygon); + } } - } - Geometry::GeometryCollection { geometries } => { - write_header(buf, WKB_GEOMETRYCOLLECTION); - write_count(buf, geometries.len())?; - for geometry in geometries { - write_geometry(buf, geometry, depth_remaining - 1)?; + Geometry::GeometryCollection { geometries } => { + self.count(geometries.len()); + for member in geometries { + self.geometry(member, false); + } } } - _ => { - write_header(buf, WKB_GEOMETRYCOLLECTION); - write_u32(buf, 0); + } + + fn rings(&mut self, rings: &[Vec<[f64; 2]>]) { + self.count(rings.len()); + for ring in rings { + self.path(ring); } } - Some(()) -} -fn write_count(buf: &mut Vec, count: usize) -> Option<()> { - if count > MAX_WKB_ELEMENTS { - return None; + fn path(&mut self, coords: &[[f64; 2]]) { + self.count(coords.len()); + for c in coords { + self.coord(*c); + } } - write_u32(buf, u32::try_from(count).ok()?); - Some(()) -} -pub(super) fn write_header(buf: &mut Vec, wkb_type: u32) { - buf.push(BYTE_ORDER_LE); - write_u32(buf, wkb_type); -} + fn coord(&mut self, c: [f64; 2]) { + let (z, m) = self.ordinates.at(self.index); + self.index += 1; + self.f64(c[0]); + self.f64(c[1]); + if let Some(z) = z { + self.f64(z); + } + if let Some(m) = m { + self.f64(m); + } + } -pub(super) fn write_u32(buf: &mut Vec, val: u32) { - buf.extend_from_slice(&val.to_le_bytes()); -} + fn u32(&mut self, v: u32) { + match self.order { + ByteOrder::LittleEndian => self.buf.extend_from_slice(&v.to_le_bytes()), + ByteOrder::BigEndian => self.buf.extend_from_slice(&v.to_be_bytes()), + } + } -fn write_f64(buf: &mut Vec, val: f64) { - buf.extend_from_slice(&val.to_le_bytes()); + fn f64(&mut self, v: f64) { + match self.order { + ByteOrder::LittleEndian => self.buf.extend_from_slice(&v.to_le_bytes()), + ByteOrder::BigEndian => self.buf.extend_from_slice(&v.to_be_bytes()), + } + } } #[cfg(test)] mod tests { use super::*; + use nodedb_types::geometry::Srid; + + fn xy(g: Geometry) -> SridGeometry { + SridGeometry::new(Srid::WGS84, g) + } #[test] - fn encoder_rejects_total_output_above_byte_limit_before_writing() { - let geometry = Geometry::MultiLineString { + fn encoder_rejects_total_output_above_byte_limit() { + let g = xy(Geometry::MultiLineString { coordinates: (0..5).map(|_| vec![[0.0, 0.0]; 840_000]).collect(), - }; - assert!(checked_encoded_size(&geometry, MAX_WKB_DEPTH).is_none()); - assert!(geometry_to_wkb(&geometry).is_none()); + }); + assert!(matches!( + geometry_to_wkb(&g), + Err(WkbError::TooLarge { .. }) + )); } #[test] fn encoder_rejects_element_count_above_decoder_limit() { - let geometry = Geometry::LineString { + let g = xy(Geometry::LineString { coordinates: vec![[0.0, 0.0]; MAX_WKB_ELEMENTS + 1], - }; - assert!(geometry_to_wkb(&geometry).is_none()); + }); + assert!(geometry_to_wkb(&g).is_err()); + } + + #[test] + fn big_endian_round_trips() { + use super::super::read::geometry_from_wkb; + let g = xy(Geometry::line_string(vec![[1.0, 2.0], [3.0, 4.0]])); + let be = geometry_to_wkb_ordered(&g, ByteOrder::BigEndian).unwrap(); + assert_eq!(be[0], BYTE_ORDER_BE); + assert_eq!(geometry_from_wkb(&be).map(|w| w.geometry), Ok(g)); } #[test] - fn point_wkb_size() { - let wkb = geometry_to_wkb(&Geometry::point(0.0, 0.0)).unwrap(); - // 1 (byte order) + 4 (type) + 8 (x) + 8 (y) = 21 bytes - assert_eq!(wkb.len(), 21); + fn point_sizes() { + assert_eq!( + geometry_to_wkb(&xy(Geometry::point(0.0, 0.0))) + .unwrap() + .len(), + 21 + ); + let empty = geometry_to_wkb(&xy(Geometry::empty_point())).unwrap(); + assert_eq!(empty.len(), 21); + assert!(f64::from_le_bytes(empty[5..13].try_into().unwrap()).is_nan()); } } diff --git a/nodedb-spatial/src/wkt.rs b/nodedb-spatial/src/wkt.rs deleted file mode 100644 index 4cd943847..000000000 --- a/nodedb-spatial/src/wkt.rs +++ /dev/null @@ -1,451 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Well-Known Text (WKT) serialization and parsing for Geometry types. -//! -//! Standard interchange format used by PostGIS, ArcadeDB (Spatial4J), -//! and most GIS tools. Format examples: -//! - `POINT(lng lat)` -//! - `LINESTRING(lng1 lat1, lng2 lat2)` -//! - `POLYGON((lng1 lat1, lng2 lat2, ...), (hole1...))` -//! - `MULTIPOINT((lng1 lat1), (lng2 lat2))` -//! - `GEOMETRYCOLLECTION(POINT(...), LINESTRING(...))` - -use nodedb_types::geometry::Geometry; - -/// Serialize a Geometry to WKT string. -pub fn geometry_to_wkt(geom: &Geometry) -> String { - match geom { - Geometry::Point { coordinates } => { - format!("POINT({} {})", coordinates[0], coordinates[1]) - } - Geometry::LineString { coordinates } => { - format!("LINESTRING({})", coords_to_wkt(coordinates)) - } - Geometry::Polygon { coordinates } => { - let rings: Vec = coordinates - .iter() - .map(|ring| format!("({})", coords_to_wkt(ring))) - .collect(); - format!("POLYGON({})", rings.join(", ")) - } - Geometry::MultiPoint { coordinates } => { - let pts: Vec = coordinates - .iter() - .map(|c| format!("({} {})", c[0], c[1])) - .collect(); - format!("MULTIPOINT({})", pts.join(", ")) - } - Geometry::MultiLineString { coordinates } => { - let lines: Vec = coordinates - .iter() - .map(|ls| format!("({})", coords_to_wkt(ls))) - .collect(); - format!("MULTILINESTRING({})", lines.join(", ")) - } - Geometry::MultiPolygon { coordinates } => { - let polys: Vec = coordinates - .iter() - .map(|poly| { - let rings: Vec = poly - .iter() - .map(|ring| format!("({})", coords_to_wkt(ring))) - .collect(); - format!("({})", rings.join(", ")) - }) - .collect(); - format!("MULTIPOLYGON({})", polys.join(", ")) - } - Geometry::GeometryCollection { geometries } => { - let geoms: Vec = geometries.iter().map(geometry_to_wkt).collect(); - format!("GEOMETRYCOLLECTION({})", geoms.join(", ")) - } - - // Unknown future geometry type — emit empty geometry collection. - _ => "GEOMETRYCOLLECTION EMPTY".to_string(), - } -} - -/// Parse a WKT string into a Geometry. -/// -/// Returns `None` if the input is malformed. -pub fn geometry_from_wkt(input: &str) -> Option { - let s = input.trim(); - if let Some(rest) = strip_prefix_ci(s, "GEOMETRYCOLLECTION") { - parse_geometry_collection(rest.trim()) - } else if let Some(rest) = strip_prefix_ci(s, "MULTIPOLYGON") { - parse_multipolygon(rest.trim()) - } else if let Some(rest) = strip_prefix_ci(s, "MULTILINESTRING") { - parse_multilinestring(rest.trim()) - } else if let Some(rest) = strip_prefix_ci(s, "MULTIPOINT") { - parse_multipoint(rest.trim()) - } else if let Some(rest) = strip_prefix_ci(s, "POLYGON") { - parse_polygon(rest.trim()) - } else if let Some(rest) = strip_prefix_ci(s, "LINESTRING") { - parse_linestring(rest.trim()) - } else if let Some(rest) = strip_prefix_ci(s, "POINT") { - parse_point(rest.trim()) - } else { - None - } -} - -/// EWKT text split into its optional SRID code and its geometry. -#[derive(Debug, Clone, PartialEq)] -pub struct Ewkt { - /// The code after `SRID=`, unresolved. `None` when the text has no prefix. - pub srid: Option, - pub geometry: Geometry, -} - -/// Parse EWKT: an optional `SRID=;` prefix, then WKT. -/// -/// The prefix matches case-insensitively. The code is ASCII digits only. -/// Returns `None` for a malformed prefix or malformed WKT. -pub fn geometry_from_ewkt(input: &str) -> Option { - let s = input.trim_start(); - let Some(rest) = strip_prefix_ci(s, "SRID=") else { - return geometry_from_wkt(s).map(|geometry| Ewkt { - srid: None, - geometry, - }); - }; - let (code, wkt) = rest.split_once(';')?; - let code = code.trim(); - if code.is_empty() || !code.bytes().all(|b| b.is_ascii_digit()) { - return None; - } - let srid = code.parse::().ok()?; - let geometry = geometry_from_wkt(wkt)?; - Some(Ewkt { - srid: Some(srid), - geometry, - }) -} - -// ── Serialization helpers ── - -fn coords_to_wkt(coords: &[[f64; 2]]) -> String { - coords - .iter() - .map(|c| format!("{} {}", c[0], c[1])) - .collect::>() - .join(", ") -} - -// ── Parsing helpers ── - -/// Case-insensitive prefix strip of an ASCII `prefix`. -/// -/// Compares bytes, so a multi-byte character at the cut point never panics. -fn strip_prefix_ci<'a>(s: &'a str, prefix: &str) -> Option<&'a str> { - let head = s.as_bytes().get(..prefix.len())?; - if head.eq_ignore_ascii_case(prefix.as_bytes()) { - s.get(prefix.len()..) - } else { - None - } -} - -/// Strip outer parentheses: "(content)" → "content" -fn strip_parens(s: &str) -> Option<&str> { - let s = s.trim(); - if s.starts_with('(') && s.ends_with(')') { - Some(&s[1..s.len() - 1]) - } else { - None - } -} - -/// Parse "lng lat" pair. -fn parse_coord(s: &str) -> Option<[f64; 2]> { - let s = s.trim(); - let mut parts = s.split_whitespace(); - let lng: f64 = parts.next()?.parse().ok()?; - let lat: f64 = parts.next()?.parse().ok()?; - Some([lng, lat]) -} - -/// Parse "lng1 lat1, lng2 lat2, ..." into coordinate vec. -fn parse_coord_list(s: &str) -> Option> { - s.split(',').map(parse_coord).collect() -} - -fn parse_point(s: &str) -> Option { - let inner = strip_parens(s)?; - let coord = parse_coord(inner)?; - Some(Geometry::Point { coordinates: coord }) -} - -fn parse_linestring(s: &str) -> Option { - let inner = strip_parens(s)?; - let coords = parse_coord_list(inner)?; - Some(Geometry::LineString { - coordinates: coords, - }) -} - -fn parse_polygon(s: &str) -> Option { - let inner = strip_parens(s)?; - let rings = split_top_level_parens(inner)?; - let ring_coords: Option>> = rings - .iter() - .map(|r| parse_coord_list(strip_parens(r.trim())?)) - .collect(); - Some(Geometry::Polygon { - coordinates: ring_coords?, - }) -} - -fn parse_multipoint(s: &str) -> Option { - let inner = strip_parens(s)?; - // MULTIPOINT((x y), (x y)) or MULTIPOINT(x y, x y) - let coords = if inner.contains('(') { - let parts = split_top_level_parens(inner)?; - parts - .iter() - .map(|p| parse_coord(strip_parens(p.trim())?)) - .collect::>>()? - } else { - parse_coord_list(inner)? - }; - Some(Geometry::MultiPoint { - coordinates: coords, - }) -} - -fn parse_multilinestring(s: &str) -> Option { - let inner = strip_parens(s)?; - let parts = split_top_level_parens(inner)?; - let lines: Option>> = parts - .iter() - .map(|p| parse_coord_list(strip_parens(p.trim())?)) - .collect(); - Some(Geometry::MultiLineString { - coordinates: lines?, - }) -} - -fn parse_multipolygon(s: &str) -> Option { - let inner = strip_parens(s)?; - let poly_parts = split_top_level_parens(inner)?; - let polys: Option>>> = poly_parts - .iter() - .map(|p| { - let rings_str = strip_parens(p.trim())?; - let ring_parts = split_top_level_parens(rings_str)?; - ring_parts - .iter() - .map(|r| parse_coord_list(strip_parens(r.trim())?)) - .collect::>>() - }) - .collect(); - Some(Geometry::MultiPolygon { - coordinates: polys?, - }) -} - -fn parse_geometry_collection(s: &str) -> Option { - let inner = strip_parens(s)?; - // Split by top-level commas (not inside parentheses). - let parts = split_top_level_items(inner); - let geoms: Option> = parts.iter().map(|p| geometry_from_wkt(p.trim())).collect(); - Some(Geometry::GeometryCollection { geometries: geoms? }) -} - -/// Split by commas at the top level of parentheses nesting. -/// "(...), (...)" → ["(...)", "(...)"] -fn split_top_level_parens(s: &str) -> Option> { - let mut parts = Vec::new(); - let mut depth = 0; - let mut start = 0; - - for (i, ch) in s.char_indices() { - match ch { - '(' => depth += 1, - ')' => depth -= 1, - ',' if depth == 0 => { - parts.push(s[start..i].to_string()); - start = i + 1; - } - _ => {} - } - } - if start < s.len() { - parts.push(s[start..].to_string()); - } - if parts.is_empty() { None } else { Some(parts) } -} - -/// Split geometry collection items by top-level commas, handling nested parens. -fn split_top_level_items(s: &str) -> Vec { - let mut parts = Vec::new(); - let mut depth = 0; - let mut start = 0; - - for (i, ch) in s.char_indices() { - match ch { - '(' => depth += 1, - ')' => depth -= 1, - ',' if depth == 0 => { - parts.push(s[start..i].to_string()); - start = i + 1; - } - _ => {} - } - } - if start < s.len() { - parts.push(s[start..].to_string()); - } - parts -} - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn point_roundtrip() { - let geom = Geometry::point(-73.9857, 40.7484); - let wkt = geometry_to_wkt(&geom); - assert!(wkt.starts_with("POINT(")); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn linestring_roundtrip() { - let geom = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0], [2.0, 0.0]]); - let wkt = geometry_to_wkt(&geom); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn polygon_roundtrip() { - let geom = Geometry::polygon(vec![vec![ - [0.0, 0.0], - [10.0, 0.0], - [10.0, 10.0], - [0.0, 10.0], - [0.0, 0.0], - ]]); - let wkt = geometry_to_wkt(&geom); - assert!(wkt.starts_with("POLYGON(")); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn polygon_with_hole_roundtrip() { - let geom = Geometry::polygon(vec![ - vec![ - [0.0, 0.0], - [10.0, 0.0], - [10.0, 10.0], - [0.0, 10.0], - [0.0, 0.0], - ], - vec![[2.0, 2.0], [8.0, 2.0], [8.0, 8.0], [2.0, 8.0], [2.0, 2.0]], - ]); - let wkt = geometry_to_wkt(&geom); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn multipoint_roundtrip() { - let geom = Geometry::MultiPoint { - coordinates: vec![[1.0, 2.0], [3.0, 4.0]], - }; - let wkt = geometry_to_wkt(&geom); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn multilinestring_roundtrip() { - let geom = Geometry::MultiLineString { - coordinates: vec![vec![[0.0, 0.0], [1.0, 1.0]], vec![[2.0, 2.0], [3.0, 3.0]]], - }; - let wkt = geometry_to_wkt(&geom); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn multipolygon_roundtrip() { - let geom = Geometry::MultiPolygon { - coordinates: vec![ - vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]], - vec![vec![[5.0, 5.0], [6.0, 5.0], [6.0, 6.0], [5.0, 5.0]]], - ], - }; - let wkt = geometry_to_wkt(&geom); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn geometry_collection_roundtrip() { - let geom = Geometry::GeometryCollection { - geometries: vec![ - Geometry::point(1.0, 2.0), - Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), - ], - }; - let wkt = geometry_to_wkt(&geom); - assert!(wkt.starts_with("GEOMETRYCOLLECTION(")); - let parsed = geometry_from_wkt(&wkt).unwrap(); - assert_eq!(geom, parsed); - } - - #[test] - fn case_insensitive_parse() { - let parsed = geometry_from_wkt("point(5 10)").unwrap(); - assert_eq!(parsed, Geometry::point(5.0, 10.0)); - } - - #[test] - fn ewkt_prefix_is_case_insensitive() { - let square = Geometry::polygon(vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]]); - for text in [ - "SRID=4326;POLYGON((0 0, 1 0, 1 1, 0 0))", - "srid=4326;polygon((0 0, 1 0, 1 1, 0 0))", - " SrId= 4326 ;POLYGON((0 0, 1 0, 1 1, 0 0))", - ] { - let parsed = geometry_from_ewkt(text).unwrap(); - assert_eq!(parsed.srid, Some(4326), "{text}"); - assert_eq!(parsed.geometry, square, "{text}"); - } - } - - #[test] - fn ewkt_without_prefix_has_no_srid() { - let parsed = geometry_from_ewkt("POINT(5 10)").unwrap(); - assert_eq!(parsed.srid, None); - assert_eq!(parsed.geometry, Geometry::point(5.0, 10.0)); - } - - #[test] - fn malformed_ewkt_returns_none() { - assert!(geometry_from_ewkt("SRID=;POINT(1 2)").is_none()); - assert!(geometry_from_ewkt("SRID=43x6;POINT(1 2)").is_none()); - assert!(geometry_from_ewkt("SRID=-4326;POINT(1 2)").is_none()); - assert!(geometry_from_ewkt("SRID=4326 POINT(1 2)").is_none()); - assert!(geometry_from_ewkt("SRID=4326;GARBAGE").is_none()); - } - - #[test] - fn a_multibyte_character_at_the_prefix_cut_does_not_panic() { - assert!(geometry_from_ewkt("SRÍD=4326;POINT(1 2)").is_none()); - assert!(geometry_from_wkt("POIÑT(1 2)").is_none()); - assert!(geometry_from_wkt("é").is_none()); - } - - #[test] - fn invalid_wkt_returns_none() { - assert!(geometry_from_wkt("").is_none()); - assert!(geometry_from_wkt("GARBAGE(1 2)").is_none()); - assert!(geometry_from_wkt("POINT(abc def)").is_none()); - } -} diff --git a/nodedb-spatial/src/wkt/error.rs b/nodedb-spatial/src/wkt/error.rs new file mode 100644 index 000000000..2f4a143c8 --- /dev/null +++ b/nodedb-spatial/src/wkt/error.rs @@ -0,0 +1,53 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKT parse errors. + +use nodedb_types::geometry::{Dimension, OrdinateError}; + +/// Why a WKT or EWKT text does not parse. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +#[error("WKT parse error at offset {offset}: {kind}")] +pub struct WktError { + /// Byte offset into the input where the error was found. + pub offset: usize, + pub kind: WktErrorKind, +} + +/// The cause of a [`WktError`]. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum WktErrorKind { + #[error("unexpected end of input, expected {expected}")] + UnexpectedEnd { expected: &'static str }, + #[error("found '{found}', expected {expected}")] + UnexpectedToken { + found: Box, + expected: &'static str, + }, + #[error("unknown geometry type '{name}'")] + UnknownType { name: Box }, + #[error("'{text}' is not a finite number")] + BadNumber { text: Box }, + #[error("coordinate has {found} numbers, {dimension} takes {expected}")] + CoordinateCount { + found: usize, + expected: u8, + dimension: Dimension, + }, + #[error("coordinate has {found} numbers; WKT takes 2, 3 or 4")] + UntaggedCount { found: usize }, + #[error("collection member is {member}, the collection is {parent}")] + MemberDimension { + parent: Dimension, + member: Dimension, + }, + #[error("{0}")] + Ordinates(#[from] OrdinateError), + #[error("EMPTY members inside {kind} are not supported")] + EmptyMember { kind: &'static str }, + #[error("GEOMETRYCOLLECTION nesting exceeds {max} levels")] + TooDeep { max: usize }, + #[error("SRID prefix '{text}' is not 'SRID=;'")] + BadSridPrefix { text: Box }, + #[error("trailing input '{text}'")] + Trailing { text: Box }, +} diff --git a/nodedb-spatial/src/wkt/mod.rs b/nodedb-spatial/src/wkt/mod.rs new file mode 100644 index 000000000..354f86107 --- /dev/null +++ b/nodedb-spatial/src/wkt/mod.rs @@ -0,0 +1,17 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Well-Known Text (WKT) and PostGIS EWKT, with Z / M / ZM and EMPTY. +//! +//! - `POINT(x y)`, `POINT Z (x y z)`, `POINTM(x y m)`, `POINT ZM (x y z m)` +//! - `LINESTRING(x1 y1, x2 y2)`, `POLYGON((...), (hole...))` +//! - `MULTIPOINT((x y), (x y))` or `MULTIPOINT(x y, x y)` +//! - `GEOMETRYCOLLECTION(POINT(...), LINESTRING(...))` +//! - `POINT EMPTY`, `GEOMETRYCOLLECTION EMPTY` + +pub mod error; +pub mod read; +pub mod write; + +pub use error::{WktError, WktErrorKind}; +pub use read::{Ewkt, geometry_from_ewkt, geometry_from_wkt}; +pub use write::{geometry_to_ewkt, geometry_to_wkt, shape_to_wkt}; diff --git a/nodedb-spatial/src/wkt/read.rs b/nodedb-spatial/src/wkt/read.rs new file mode 100644 index 000000000..d8fe1ffb8 --- /dev/null +++ b/nodedb-spatial/src/wkt/read.rs @@ -0,0 +1,724 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKT and EWKT reader. +//! +//! A type keyword takes an optional dimension tag, spaced (`POINT Z`) or +//! attached (`POINTZ`): `Z`, `M` or `ZM`. With a tag every coordinate holds +//! exactly the numbers the tag names. Without one, 2 numbers are XY, 3 are +//! XYZ and 4 are XYZM, and one geometry never mixes counts. `EMPTY` replaces +//! the parenthesised body of any type. + +use nodedb_types::geometry::{ + Dimension, Geometry, GeometryKind, OrdinatesBuilder, Srid, SridGeometry, +}; + +use super::error::{WktError, WktErrorKind}; + +/// Nesting limit for `GEOMETRYCOLLECTION`, the same bound the WKB reader +/// keeps. +const MAX_WKT_DEPTH: usize = 64; + +/// EWKT text split into its optional SRID code and its geometry. +#[derive(Debug, Clone, PartialEq)] +pub struct Ewkt { + /// The code after `SRID=`, unresolved. `None` when the text has no + /// prefix. + pub srid: Option, + /// The geometry, tagged WGS 84. The caller retags it once `srid` + /// resolves. + pub geometry: SridGeometry, +} + +/// Parse WKT. WKT carries no SRID, so the result is tagged WGS 84. +pub fn geometry_from_wkt(input: &str) -> Result { + let mut parser = Parser::new(input, 0); + let geometry = parser.document()?; + Ok(geometry) +} + +/// Parse EWKT: an optional `SRID=;` prefix, then WKT. +/// +/// The prefix matches case-insensitively. The code is ASCII digits only. +pub fn geometry_from_ewkt(input: &str) -> Result { + let leading = input.len() - input.trim_start().len(); + let s = &input[leading..]; + let Some(rest) = strip_prefix_ci(s, "SRID=") else { + return geometry_from_wkt(input).map(|geometry| Ewkt { + srid: None, + geometry, + }); + }; + let bad_prefix = || WktError { + offset: leading, + kind: WktErrorKind::BadSridPrefix { + text: s.chars().take(24).collect::().into(), + }, + }; + let (code, wkt) = rest.split_once(';').ok_or_else(bad_prefix)?; + let digits = code.trim(); + if digits.is_empty() || !digits.bytes().all(|b| b.is_ascii_digit()) { + return Err(bad_prefix()); + } + let srid = digits.parse::().map_err(|_| bad_prefix())?; + let wkt_offset = input.len() - wkt.len(); + let geometry = Parser::new(wkt, wkt_offset).document()?; + Ok(Ewkt { + srid: Some(srid), + geometry, + }) +} + +/// Case-insensitive prefix strip of an ASCII `prefix`. Compares bytes, so a +/// multi-byte character at the cut point never panics. +fn strip_prefix_ci<'a>(s: &'a str, prefix: &str) -> Option<&'a str> { + let head = s.as_bytes().get(..prefix.len())?; + if head.eq_ignore_ascii_case(prefix.as_bytes()) { + s.get(prefix.len()..) + } else { + None + } +} + +#[derive(Debug, Clone, Copy, PartialEq)] +enum Token<'a> { + Word(&'a str), + Number(&'a str), + Open, + Close, + Comma, +} + +impl Token<'_> { + fn text(&self) -> Box { + match self { + Token::Word(s) | Token::Number(s) => (*s).into(), + Token::Open => "(".into(), + Token::Close => ")".into(), + Token::Comma => ",".into(), + } + } +} + +struct Parser<'a> { + input: &'a str, + pos: usize, + /// Offset of `input` within the caller's text, for error reports. + base: usize, + ordinates: OrdinatesBuilder, +} + +impl<'a> Parser<'a> { + fn new(input: &'a str, base: usize) -> Self { + Self { + input, + pos: 0, + base, + ordinates: OrdinatesBuilder::default(), + } + } + + fn error(&self, offset: usize, kind: WktErrorKind) -> WktError { + WktError { + offset: self.base + offset, + kind, + } + } + + /// The whole input as one geometry. + fn document(&mut self) -> Result { + let geometry = self.geometry(None, MAX_WKT_DEPTH)?; + self.skip_space(); + if self.pos < self.input.len() { + let text = self.input[self.pos..].chars().take(24).collect::(); + return Err(self.error(self.pos, WktErrorKind::Trailing { text: text.into() })); + } + let ordinates = std::mem::take(&mut self.ordinates).finish(); + SridGeometry::with_ordinates(Srid::WGS84, geometry, ordinates) + .map_err(|e| self.error(0, e.into())) + } + + fn skip_space(&mut self) { + let rest = &self.input[self.pos..]; + self.pos += rest.len() - rest.trim_start().len(); + } + + /// The next token and its start offset, without consuming it. + fn peek(&mut self) -> Option<(Token<'a>, usize, usize)> { + self.skip_space(); + let start = self.pos; + let rest = &self.input[start..]; + let first = rest.chars().next()?; + let (token, len) = match first { + '(' => (Token::Open, 1), + ')' => (Token::Close, 1), + ',' => (Token::Comma, 1), + c if c.is_ascii_alphabetic() => { + let len = rest + .find(|c: char| !c.is_ascii_alphanumeric()) + .unwrap_or(rest.len()); + (Token::Word(&rest[..len]), len) + } + _ => { + let len = rest + .find(|c: char| c.is_whitespace() || matches!(c, '(' | ')' | ',')) + .unwrap_or(rest.len()); + (Token::Number(&rest[..len]), len.max(first.len_utf8())) + } + }; + Some((token, start, len)) + } + + fn next(&mut self, expected: &'static str) -> Result<(Token<'a>, usize), WktError> { + match self.peek() { + Some((token, start, len)) => { + self.pos = start + len; + Ok((token, start)) + } + None => Err(self.error(self.pos, WktErrorKind::UnexpectedEnd { expected })), + } + } + + fn expect(&mut self, want: Token<'static>, expected: &'static str) -> Result<(), WktError> { + let (token, start) = self.next(expected)?; + if token == want { + Ok(()) + } else { + Err(self.error( + start, + WktErrorKind::UnexpectedToken { + found: token.text(), + expected, + }, + )) + } + } + + /// `KIND [Z|M|ZM] (EMPTY | body)`. `inherited` is the enclosing + /// collection's declared dimension. + fn geometry( + &mut self, + inherited: Option, + depth: usize, + ) -> Result { + if depth == 0 { + return Err(self.error(self.pos, WktErrorKind::TooDeep { max: MAX_WKT_DEPTH })); + } + let (token, start) = self.next("a geometry type")?; + let Token::Word(word) = token else { + return Err(self.error( + start, + WktErrorKind::UnexpectedToken { + found: token.text(), + expected: "a geometry type", + }, + )); + }; + let (kind, mut tag) = + split_keyword(word).ok_or_else(|| self.error(start, unknown_type(word)))?; + if tag.is_none() + && let Some((Token::Word(next), at, len)) = self.peek() + && let Some(dimension) = dimension_tag(next) + { + self.pos = at + len; + tag = Some(dimension); + } + let declared = match (inherited, tag) { + (Some(parent), Some(member)) if parent != member => { + return Err(self.error(start, WktErrorKind::MemberDimension { parent, member })); + } + (parent, member) => member.or(parent), + }; + if let Some(dimension) = declared { + self.declare(dimension, start)?; + } + if let Some((Token::Word(w), at, len)) = self.peek() + && w.eq_ignore_ascii_case("EMPTY") + { + self.pos = at + len; + return Ok(Geometry::empty(kind)); + } + self.body(kind, declared, depth) + } + + /// Fix the dimension of the whole geometry. A declared tag that differs + /// from coordinates already read is a mixed-dimension error. + fn declare(&mut self, dimension: Dimension, at: usize) -> Result<(), WktError> { + match self.ordinates.dimension() { + None => { + self.ordinates = OrdinatesBuilder::with_dimension(dimension); + Ok(()) + } + Some(existing) if existing == dimension => Ok(()), + Some(existing) => Err(self.error( + at, + WktErrorKind::MemberDimension { + parent: existing, + member: dimension, + }, + )), + } + } + + fn body( + &mut self, + kind: GeometryKind, + declared: Option, + depth: usize, + ) -> Result { + Ok(match kind { + GeometryKind::Point => { + self.expect(Token::Open, "'('")?; + let c = self.coord(declared)?; + self.expect(Token::Close, "')'")?; + Geometry::Point { coordinates: c } + } + GeometryKind::LineString => Geometry::LineString { + coordinates: self.coord_list(declared)?, + }, + GeometryKind::Polygon => Geometry::Polygon { + coordinates: self.ring_list(declared)?, + }, + GeometryKind::MultiPoint => Geometry::MultiPoint { + coordinates: self.multipoint(declared)?, + }, + GeometryKind::MultiLineString => Geometry::MultiLineString { + coordinates: self.ring_list(declared)?, + }, + GeometryKind::MultiPolygon => { + self.expect(Token::Open, "'('")?; + let mut polygons = vec![self.member_rings(declared, "MULTIPOLYGON")?]; + while self.comma_or_close()? { + polygons.push(self.member_rings(declared, "MULTIPOLYGON")?); + } + Geometry::MultiPolygon { + coordinates: polygons, + } + } + GeometryKind::GeometryCollection => { + self.expect(Token::Open, "'('")?; + let mut geometries = vec![self.geometry(declared, depth - 1)?]; + while self.comma_or_close()? { + geometries.push(self.geometry(declared, depth - 1)?); + } + Geometry::GeometryCollection { geometries } + } + }) + } + + /// After a list item: `true` on `,`, `false` on `)`. + fn comma_or_close(&mut self) -> Result { + let (token, start) = self.next("',' or ')'")?; + match token { + Token::Comma => Ok(true), + Token::Close => Ok(false), + other => Err(self.error( + start, + WktErrorKind::UnexpectedToken { + found: other.text(), + expected: "',' or ')'", + }, + )), + } + } + + /// `(c, c, ...)`. + fn coord_list(&mut self, declared: Option) -> Result, WktError> { + self.expect(Token::Open, "'('")?; + let mut coords = vec![self.coord(declared)?]; + while self.comma_or_close()? { + coords.push(self.coord(declared)?); + } + Ok(coords) + } + + /// `((c, ...), (c, ...))`. + fn ring_list(&mut self, declared: Option) -> Result>, WktError> { + self.expect(Token::Open, "'('")?; + let mut rings = vec![self.coord_list(declared)?]; + while self.comma_or_close()? { + rings.push(self.coord_list(declared)?); + } + Ok(rings) + } + + /// One polygon of a MULTIPOLYGON. `EMPTY` here is refused. + fn member_rings( + &mut self, + declared: Option, + kind: &'static str, + ) -> Result>, WktError> { + self.refuse_empty_member(kind)?; + self.ring_list(declared) + } + + fn refuse_empty_member(&mut self, kind: &'static str) -> Result<(), WktError> { + if let Some((Token::Word(w), start, _)) = self.peek() + && w.eq_ignore_ascii_case("EMPTY") + { + return Err(self.error(start, WktErrorKind::EmptyMember { kind })); + } + Ok(()) + } + + /// `(c, c)` or `((c), (c))`. + fn multipoint(&mut self, declared: Option) -> Result, WktError> { + self.expect(Token::Open, "'('")?; + let mut points = Vec::new(); + loop { + self.refuse_empty_member("MULTIPOINT")?; + let wrapped = matches!(self.peek(), Some((Token::Open, _, _))); + if wrapped { + self.expect(Token::Open, "'('")?; + } + points.push(self.coord(declared)?); + if wrapped { + self.expect(Token::Close, "')'")?; + } + if !self.comma_or_close()? { + return Ok(points); + } + } + } + + /// One coordinate: 2 to 4 numbers. + fn coord(&mut self, declared: Option) -> Result<[f64; 2], WktError> { + let start = self.peek().map_or(self.pos, |(_, s, _)| s); + let mut numbers = Vec::with_capacity(4); + while let Some((Token::Number(text), at, len)) = self.peek() { + let value = text + .parse::() + .ok() + .filter(|v| v.is_finite()) + .ok_or_else(|| self.error(at, WktErrorKind::BadNumber { text: text.into() }))?; + numbers.push(value); + self.pos = at + len; + if numbers.len() > 4 { + break; + } + } + let dimension = match declared { + Some(d) => { + if numbers.len() != usize::from(d.coord_dim()) { + return Err(self.error( + start, + WktErrorKind::CoordinateCount { + found: numbers.len(), + expected: d.coord_dim(), + dimension: d, + }, + )); + } + d + } + None => match numbers.len() { + 2 => Dimension::Xy, + 3 => Dimension::Xyz, + 4 => Dimension::Xyzm, + found => { + return Err(self.error(start, WktErrorKind::UntaggedCount { found })); + } + }, + }; + let z = dimension.has_z().then(|| numbers[2]); + let m = dimension + .has_m() + .then(|| numbers[if dimension.has_z() { 3 } else { 2 }]); + self.ordinates + .push(z, m) + .map_err(|e| self.error(start, e.into()))?; + Ok([numbers[0], numbers[1]]) + } +} + +fn unknown_type(word: &str) -> WktErrorKind { + WktErrorKind::UnknownType { name: word.into() } +} + +/// Type keywords, longest first so `MULTIPOINT` never reads as `POINT`. +const KEYWORDS: [GeometryKind; 7] = [ + GeometryKind::GeometryCollection, + GeometryKind::MultiLineString, + GeometryKind::MultiPolygon, + GeometryKind::LineString, + GeometryKind::MultiPoint, + GeometryKind::Polygon, + GeometryKind::Point, +]; + +/// A type keyword with an optional attached dimension tag (`POINTZ`). +fn split_keyword(word: &str) -> Option<(GeometryKind, Option)> { + KEYWORDS.iter().find_map(|kind| { + let rest = strip_prefix_ci(word, kind.wkt_keyword())?; + if rest.is_empty() { + Some((*kind, None)) + } else { + dimension_tag(rest).map(|d| (*kind, Some(d))) + } + }) +} + +fn dimension_tag(word: &str) -> Option { + if word.eq_ignore_ascii_case("Z") { + Some(Dimension::Xyz) + } else if word.eq_ignore_ascii_case("M") { + Some(Dimension::Xym) + } else if word.eq_ignore_ascii_case("ZM") { + Some(Dimension::Xyzm) + } else { + None + } +} + +#[cfg(test)] +mod tests { + use super::super::write::{geometry_to_ewkt, geometry_to_wkt}; + use super::*; + use nodedb_types::geometry::{OrdinateError, Ordinates}; + + fn shape(text: &str) -> Geometry { + geometry_from_wkt(text).unwrap().geometry().clone() + } + + fn round_trip(g: SridGeometry) { + let text = geometry_to_wkt(&g); + assert_eq!(geometry_from_wkt(&text), Ok(g), "{text}"); + } + + #[test] + fn xy_shapes_round_trip() { + for g in [ + Geometry::point(-73.9857, 40.7484), + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0], [2.0, 0.0]]), + Geometry::polygon(vec![ + vec![ + [0.0, 0.0], + [10.0, 0.0], + [10.0, 10.0], + [0.0, 10.0], + [0.0, 0.0], + ], + vec![[2.0, 2.0], [8.0, 2.0], [8.0, 8.0], [2.0, 8.0], [2.0, 2.0]], + ]), + Geometry::MultiPoint { + coordinates: vec![[1.0, 2.0], [3.0, 4.0]], + }, + Geometry::MultiLineString { + coordinates: vec![vec![[0.0, 0.0], [1.0, 1.0]], vec![[2.0, 2.0], [3.0, 3.0]]], + }, + Geometry::MultiPolygon { + coordinates: vec![ + vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]], + vec![vec![[5.0, 5.0], [6.0, 5.0], [6.0, 6.0], [5.0, 5.0]]], + ], + }, + Geometry::GeometryCollection { + geometries: vec![ + Geometry::point(1.0, 2.0), + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), + ], + }, + ] { + round_trip(SridGeometry::wgs84(g)); + } + } + + #[test] + fn three_numbers_are_z_not_dropped() { + let g = geometry_from_wkt("POINT(1 2 3)").unwrap(); + assert_eq!(g.dimension(), Dimension::Xyz); + assert_eq!(g.ordinates().z(), Some(&[3.0][..])); + let zm = geometry_from_wkt("POINT(1 2 3 4)").unwrap(); + assert_eq!(zm.dimension(), Dimension::Xyzm); + assert_eq!(zm.ordinates().m(), Some(&[4.0][..])); + } + + #[test] + fn every_tag_spelling_parses() { + for (text, dim) in [ + ("POINT Z (1 2 3)", Dimension::Xyz), + ("POINTZ(1 2 3)", Dimension::Xyz), + ("point z(1 2 3)", Dimension::Xyz), + ("POINT M (1 2 3)", Dimension::Xym), + ("POINTM(1 2 3)", Dimension::Xym), + ("POINT ZM (1 2 3 4)", Dimension::Xyzm), + ("POINTZM(1 2 3 4)", Dimension::Xyzm), + ("LINESTRING Z (0 0 1, 1 1 2)", Dimension::Xyz), + ("MULTIPOINT M ((0 0 1), (1 1 2))", Dimension::Xym), + ( + "POLYGON ZM ((0 0 0 0, 1 0 0 0, 1 1 0 0, 0 0 0 0))", + Dimension::Xyzm, + ), + ] { + let g = geometry_from_wkt(text).unwrap_or_else(|e| panic!("{text}: {e}")); + assert_eq!(g.dimension(), dim, "{text}"); + } + let m = geometry_from_wkt("POINT M (1 2 9)").unwrap(); + assert_eq!(m.ordinates().m(), Some(&[9.0][..])); + assert_eq!(m.ordinates().z(), None); + } + + #[test] + fn mismatched_counts_fail() { + for text in [ + "POINT Z (1 2)", + "POINT M (1 2 3 4)", + "POINT ZM (1 2 3)", + "POINT(1)", + "POINT(1 2 3 4 5)", + ] { + assert!(geometry_from_wkt(text).is_err(), "{text}"); + } + let mixed = geometry_from_wkt("LINESTRING(0 0, 1 1 1)").unwrap_err(); + assert!( + matches!( + mixed.kind, + WktErrorKind::Ordinates(OrdinateError::MixedDimension { .. }) + ), + "{mixed}" + ); + } + + #[test] + fn collection_members_share_the_dimension() { + let g = geometry_from_wkt("GEOMETRYCOLLECTION Z (POINT Z (1 2 3), POINT(4 5 6))").unwrap(); + assert_eq!(g.ordinates().z(), Some(&[3.0, 6.0][..])); + assert!(geometry_from_wkt("GEOMETRYCOLLECTION Z (POINT M (1 2 3))").is_err()); + assert!(geometry_from_wkt("GEOMETRYCOLLECTION(POINT Z (1 2 3), POINT(1 2))").is_err()); + let m = geometry_from_wkt("GEOMETRYCOLLECTION M (POINT(1 2 3))").unwrap(); + assert_eq!(m.ordinates().m(), Some(&[3.0][..])); + } + + #[test] + fn z_m_and_zm_round_trip() { + let line = Geometry::line_string(vec![[0.0, 0.0], [1.5, -2.25]]); + for ordinates in [ + Ordinates::new(Some(vec![1.0, 2.0]), None), + Ordinates::new(None, Some(vec![3.0, 4.0])), + Ordinates::new(Some(vec![1.0, 2.0]), Some(vec![3.0, 4.0])), + ] { + round_trip(SridGeometry::with_ordinates(Srid::WGS84, line.clone(), ordinates).unwrap()); + } + let gc = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::GeometryCollection { + geometries: vec![Geometry::point(1.0, 1.0), Geometry::empty_point()], + }, + Ordinates::new(Some(vec![7.0]), None), + ) + .unwrap(); + let text = geometry_to_wkt(&gc); + assert_eq!(text, "GEOMETRYCOLLECTION Z (POINT Z (1 1 7),POINT Z EMPTY)"); + let back = geometry_from_wkt(&text).unwrap(); + assert_eq!(back.ordinates().z(), Some(&[7.0][..])); + } + + #[test] + fn empty_of_every_kind() { + for (text, kind) in [ + ("POINT EMPTY", GeometryKind::Point), + ("LINESTRING EMPTY", GeometryKind::LineString), + ("POLYGON EMPTY", GeometryKind::Polygon), + ("MULTIPOINT EMPTY", GeometryKind::MultiPoint), + ("MULTILINESTRING EMPTY", GeometryKind::MultiLineString), + ("MULTIPOLYGON EMPTY", GeometryKind::MultiPolygon), + ("GEOMETRYCOLLECTION EMPTY", GeometryKind::GeometryCollection), + ] { + let g = geometry_from_wkt(text).unwrap(); + assert!(g.is_empty(), "{text}"); + assert_eq!(g.geometry().kind(), kind); + assert_eq!(geometry_to_wkt(&g), text); + } + let z = geometry_from_wkt("POINT Z EMPTY").unwrap(); + assert_eq!(z.dimension(), Dimension::Xyz); + assert_eq!(geometry_to_wkt(&z), "POINT Z EMPTY"); + } + + #[test] + fn postgis_text_form() { + let g = geometry_from_wkt("LINESTRING (0 0, 1 1)").unwrap(); + assert_eq!(geometry_to_wkt(&g), "LINESTRING(0 0,1 1)"); + let z = geometry_from_wkt("POINT(1 2 3)").unwrap(); + assert_eq!(geometry_to_wkt(&z), "POINT Z (1 2 3)"); + } + + #[test] + fn case_insensitive_and_multipoint_forms() { + assert_eq!(shape("point(5 10)"), Geometry::point(5.0, 10.0)); + assert_eq!( + shape("MULTIPOINT(1 2, 3 4)"), + shape("MULTIPOINT((1 2), (3 4))") + ); + } + + #[test] + fn ewkt_prefix_is_case_insensitive() { + let square = Geometry::polygon(vec![vec![[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]]]); + for text in [ + "SRID=4326;POLYGON((0 0, 1 0, 1 1, 0 0))", + "srid=4326;polygon((0 0, 1 0, 1 1, 0 0))", + " SrId= 4326 ;POLYGON((0 0, 1 0, 1 1, 0 0))", + ] { + let parsed = geometry_from_ewkt(text).unwrap(); + assert_eq!(parsed.srid, Some(4326), "{text}"); + assert_eq!(parsed.geometry.geometry(), &square, "{text}"); + } + let g = SridGeometry::new(Srid::new(32648).unwrap(), Geometry::point(1.0, 2.0)); + assert_eq!(geometry_to_ewkt(&g), "SRID=32648;POINT(1 2)"); + } + + #[test] + fn ewkt_without_prefix_has_no_srid() { + let parsed = geometry_from_ewkt("POINT(5 10)").unwrap(); + assert_eq!(parsed.srid, None); + assert_eq!(parsed.geometry.geometry(), &Geometry::point(5.0, 10.0)); + } + + #[test] + fn malformed_text_is_an_error() { + for text in [ + "SRID=;POINT(1 2)", + "SRID=43x6;POINT(1 2)", + "SRID=-4326;POINT(1 2)", + "SRID=4326 POINT(1 2)", + "SRID=4326;GARBAGE", + "SRÍD=4326;POINT(1 2)", + ] { + assert!(geometry_from_ewkt(text).is_err(), "{text}"); + } + for text in [ + "", + "GARBAGE(1 2)", + "POINT(abc def)", + "POIÑT(1 2)", + "é", + "POINT(1 2", + "POINT(1 2) trailing", + "POINT(nan 2)", + "MULTIPOINT(EMPTY, (1 2))", + ] { + assert!(geometry_from_wkt(text).is_err(), "{text}"); + } + } + + #[test] + fn error_reports_the_offset() { + let e = geometry_from_wkt("POINT(1 x)").unwrap_err(); + assert_eq!(e.offset, 6); + } + + #[test] + fn collection_depth_is_bounded() { + let mut text = String::new(); + for _ in 0..70 { + text.push_str("GEOMETRYCOLLECTION("); + } + text.push_str("POINT(1 2)"); + for _ in 0..70 { + text.push(')'); + } + assert!(matches!( + geometry_from_wkt(&text).map_err(|e| e.kind), + Err(WktErrorKind::TooDeep { .. }) + )); + } +} diff --git a/nodedb-spatial/src/wkt/write.rs b/nodedb-spatial/src/wkt/write.rs new file mode 100644 index 000000000..7485a89cb --- /dev/null +++ b/nodedb-spatial/src/wkt/write.rs @@ -0,0 +1,152 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! WKT and EWKT writer. +//! +//! A geometry with Z or M writes its dimension tag after every type keyword +//! (`POINT Z (1 2 3)`), as PostGIS `ST_AsText` does. An EMPTY geometry +//! writes `KIND [tag] EMPTY`. + +use std::fmt::Write as _; + +use nodedb_types::geometry::{Dimension, Geometry, Ordinates, Srid, SridGeometry}; + +/// WKT of `g`, Z and M included. WKT has no SRID slot. +pub fn geometry_to_wkt(g: &SridGeometry) -> String { + let mut out = String::new(); + let mut writer = Writer { + out: &mut out, + ordinates: g.ordinates(), + dimension: g.dimension(), + index: 0, + }; + writer.geometry(g.geometry()); + out +} + +/// EWKT of `g`: `SRID=;` then WKT, as PostGIS `ST_AsEWKT` writes it. +pub fn geometry_to_ewkt(g: &SridGeometry) -> String { + format!("SRID={};{}", g.srid.code(), geometry_to_wkt(g)) +} + +/// WKT of an XY shape. +pub fn shape_to_wkt(geometry: &Geometry) -> String { + geometry_to_wkt(&SridGeometry::new(Srid::WGS84, geometry.clone())) +} + +struct Writer<'a> { + out: &'a mut String, + ordinates: &'a Ordinates, + dimension: Dimension, + /// Index of the next coordinate in traversal order. + index: usize, +} + +impl Writer<'_> { + fn keyword(&mut self, geometry: &Geometry) { + self.out.push_str(geometry.kind().wkt_keyword()); + let tag = self.dimension.wkt_tag(); + if !tag.is_empty() { + self.out.push(' '); + self.out.push_str(tag); + self.out.push(' '); + } + } + + fn empty(&mut self) { + if !self.out.ends_with(' ') { + self.out.push(' '); + } + self.out.push_str("EMPTY"); + } + + fn geometry(&mut self, geometry: &Geometry) { + self.keyword(geometry); + if geometry.is_empty() && !matches!(geometry, Geometry::GeometryCollection { .. }) { + self.empty(); + // An EMPTY polygon or multi may still hold empty rings. + self.index += geometry.coord_count(); + return; + } + match geometry { + Geometry::Point { coordinates } => { + self.out.push('('); + self.coord(*coordinates); + self.out.push(')'); + } + Geometry::LineString { coordinates } => self.path(coordinates), + Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { + self.paths(coordinates) + } + Geometry::MultiPoint { coordinates } => { + self.out.push('('); + for (i, c) in coordinates.iter().enumerate() { + if i > 0 { + self.out.push(','); + } + self.out.push('('); + self.coord(*c); + self.out.push(')'); + } + self.out.push(')'); + } + Geometry::MultiPolygon { coordinates } => { + self.out.push('('); + for (i, polygon) in coordinates.iter().enumerate() { + if i > 0 { + self.out.push(','); + } + self.paths(polygon); + } + self.out.push(')'); + } + Geometry::GeometryCollection { geometries } => { + if geometries.is_empty() { + self.empty(); + return; + } + self.out.push('('); + for (i, member) in geometries.iter().enumerate() { + if i > 0 { + self.out.push(','); + } + self.geometry(member); + } + self.out.push(')'); + } + } + } + + fn paths(&mut self, rings: &[Vec<[f64; 2]>]) { + self.out.push('('); + for (i, ring) in rings.iter().enumerate() { + if i > 0 { + self.out.push(','); + } + self.path(ring); + } + self.out.push(')'); + } + + fn path(&mut self, coords: &[[f64; 2]]) { + self.out.push('('); + for (i, c) in coords.iter().enumerate() { + if i > 0 { + self.out.push(','); + } + self.coord(*c); + } + self.out.push(')'); + } + + fn coord(&mut self, c: [f64; 2]) { + let (z, m) = self.ordinates.at(self.index); + self.index += 1; + let _ = write!(self.out, "{} {}", c[0], c[1]); + if let Some(z) = z { + let _ = write!(self.out, " {z}"); + } + if let Some(m) = m { + let _ = write!(self.out, " {m}"); + } + } +} diff --git a/nodedb-sql/Cargo.toml b/nodedb-sql/Cargo.toml index f6daf7936..02f192479 100644 --- a/nodedb-sql/Cargo.toml +++ b/nodedb-sql/Cargo.toml @@ -15,6 +15,7 @@ categories = ["database", "parser-implementations"] [dependencies] nodedb-types = { workspace = true } +nodedb-crs = { workspace = true } nodedb-query = { workspace = true } nodedb-spatial = { workspace = true } sqlparser = { workspace = true } diff --git a/nodedb-sql/src/catalog.rs b/nodedb-sql/src/catalog.rs index 3fbcb23ff..5dc36578f 100644 --- a/nodedb-sql/src/catalog.rs +++ b/nodedb-sql/src/catalog.rs @@ -2,6 +2,7 @@ //! `SqlCatalog` trait + descriptor-resolution error type. +use nodedb_crs::CrsContext; use nodedb_types::DatabaseId; use thiserror::Error; @@ -254,6 +255,14 @@ pub trait SqlCatalog { ) -> Result { Err(sequence_access_unavailable()) } + + /// The CRS context SRIDs resolve against while planning: the built-in + /// registry plus the catalog's user-defined CRSs. The default holds the + /// built-in registry only. Origin overrides it, and a wrapping catalog + /// forwards it to the catalog it wraps. + fn crs_context(&self) -> CrsContext<'_> { + CrsContext::builtin_only() + } } /// The error a catalog with no sequence state returns for every accessor. diff --git a/nodedb-sql/src/ddl_ast/graph_parse/cursor.rs b/nodedb-sql/src/ddl_ast/graph_parse/cursor.rs index 40ad8c061..a9fe76f46 100644 --- a/nodedb-sql/src/ddl_ast/graph_parse/cursor.rs +++ b/nodedb-sql/src/ddl_ast/graph_parse/cursor.rs @@ -121,6 +121,26 @@ impl<'t, 'a> Cursor<'t, 'a> { .map_err(|_| parse_error(format!("{clause} must be a number — found '{text}'"))) } + /// A timestamp in ms since epoch, in the forms `AS OF VALID TIME` + /// accepts: an integer, `NOW()`, or an ISO-8601 string. + pub(super) fn timestamp(&mut self, clause: &str) -> Result { + let expression = match self.peek() { + Some(Tok::Quoted(text)) => format!("'{text}'"), + // The tokenizer drops `(` and `)`, so `NOW()` arrives as `NOW`. + Some(Tok::Word(word)) if word.eq_ignore_ascii_case("NOW") => "NOW()".to_owned(), + Some(Tok::Word(word)) => (*word).to_owned(), + other => { + return Err(parse_error(format!( + "{clause} needs a timestamp — found {}", + describe_opt(other) + ))); + } + }; + self.pos += 1; + crate::parser::preprocess::temporal::parse_temporal_expr(&expression) + .map_err(|error| parse_error(format!("{clause}: {}", error.0))) + } + /// Consume the next word when it parses as a number. pub(super) fn number_word(&mut self) -> Option { let Some(Tok::Word(word)) = self.peek() else { diff --git a/nodedb-sql/src/ddl_ast/graph_parse/entry.rs b/nodedb-sql/src/ddl_ast/graph_parse/entry.rs index 151946d4e..1cfc25a1a 100644 --- a/nodedb-sql/src/ddl_ast/graph_parse/entry.rs +++ b/nodedb-sql/src/ddl_ast/graph_parse/entry.rs @@ -5,6 +5,8 @@ use super::super::statement::{GraphStmt, NodedbStatement}; use super::{edge_predicate, tokenizer, variants}; use crate::error::SqlError; +use crate::parser::preprocess::temporal::{ExprBoundary, extract_bounded}; +use crate::temporal::{TemporalScope, ValidTime}; /// Parse a graph DSL statement. /// @@ -19,9 +21,7 @@ pub fn try_parse(sql: &str) -> Option> { let upper = trimmed.to_ascii_uppercase(); if upper.starts_with("MATCH ") || upper.starts_with("OPTIONAL MATCH ") { - return Some(Ok(NodedbStatement::Graph(GraphStmt::MatchQuery { - body: trimmed.to_string(), - }))); + return Some(parse_match(trimmed)); } if !upper.starts_with("GRAPH ") { @@ -31,14 +31,54 @@ pub fn try_parse(sql: &str) -> Option> { Some(parse_graph(trimmed)) } +/// A MATCH statement: its temporal clauses split off, the rest kept for the +/// pattern compiler. Comments are not blanked: `--` is not a comment inside +/// a pattern. +fn parse_match(sql: &str) -> Result { + let (body, temporal) = split_temporal(sql)?; + Ok(NodedbStatement::Graph(GraphStmt::MatchQuery { + body: body.trim().to_string(), + temporal, + })) +} + +/// Remove the `AS OF SYSTEM TIME` / `AS OF VALID TIME` clauses of a graph +/// read. A valid-time range is refused: a graph read selects the edges valid +/// at one instant. +fn split_temporal(sql: &str) -> Result<(String, TemporalScope), SqlError> { + let extracted = extract_bounded(sql, ExprBoundary::Token) + .map_err(|error| SqlError::Parse { detail: error.0 })?; + let Some(extracted) = extracted else { + return Ok((sql.to_string(), TemporalScope::default())); + }; + if let ValidTime::Range(lo, hi) = extracted.temporal.valid_time { + return Err(SqlError::Parse { + detail: format!( + "FOR VALID_TIME FROM {lo} TO {hi} is not supported on graph reads; use \ + AS OF VALID TIME " + ), + }); + } + Ok((extracted.sql, extracted.temporal)) +} + /// Parse a statement known to start with `GRAPH `. Comments are blanked -/// first. A trailing `EDGE WHERE` predicate splits off next, so the clause -/// text before it tokenizes alone. +/// first, then the temporal clauses split off. A trailing `EDGE WHERE` +/// predicate splits off next, so the clause text before it tokenizes alone. fn parse_graph(sql: &str) -> Result { let blanked = tokenizer::blank_comments(sql); - let trimmed = blanked.trim(); + let (text, temporal) = split_temporal(blanked.trim())?; + let trimmed = text.trim(); let upper = trimmed.to_ascii_uppercase(); let upper = upper.as_str(); + if temporal.is_temporal() && is_graph_write(upper) { + return Err(SqlError::Parse { + detail: format!( + "{} does not accept AS OF: a write applies at the current system time", + graph_command(upper) + ), + }); + } let (head, predicate_text) = edge_predicate::split_edge_where(trimmed)?; let predicate = match predicate_text { Some(text) => edge_predicate::parse_edge_predicate(text)?, @@ -47,10 +87,10 @@ fn parse_graph(sql: &str) -> Result { let toks = tokenizer::tokenize(head); if upper.starts_with("GRAPH TRAVERSE ") { - return variants::parse_traverse(&toks, predicate); + return variants::parse_traverse(&toks, predicate, temporal); } if upper.starts_with("GRAPH PATH ") { - return variants::parse_path(&toks, predicate); + return variants::parse_path(&toks, predicate, temporal); } if predicate_text.is_some() { return Err(SqlError::Parse { @@ -71,11 +111,11 @@ fn parse_graph(sql: &str) -> Result { } else if upper.starts_with("GRAPH UNLABEL ") { variants::parse_set_labels(&toks, true) } else if upper.starts_with("GRAPH NEIGHBORS ") { - variants::parse_neighbors(&toks) + variants::parse_neighbors(&toks, temporal) } else if upper.starts_with("GRAPH ALGO ") { - variants::parse_algo(&toks) + variants::parse_algo(&toks, temporal) } else if upper.starts_with("GRAPH RAG FUSION ") { - variants::parse_rag_fusion(&toks) + variants::parse_rag_fusion(&toks, temporal) } else { // Starts with `GRAPH ` but names no known command. Still graph DSL, // so report it here rather than letting the SQL parser guess. @@ -85,6 +125,18 @@ fn parse_graph(sql: &str) -> Result { } } +/// A graph statement that writes: edges or node labels. +fn is_graph_write(upper: &str) -> bool { + [ + "GRAPH INSERT EDGE ", + "GRAPH DELETE EDGE ", + "GRAPH LABEL ", + "GRAPH UNLABEL ", + ] + .iter() + .any(|command| upper.starts_with(command)) +} + /// The command words of a `GRAPH` statement, for an error message: /// `GRAPH NEIGHBORS`, `GRAPH INSERT EDGE`, `GRAPH RAG FUSION`. fn graph_command(upper: &str) -> String { @@ -121,7 +173,11 @@ mod tests { dst, label, properties, + valid_from_ms, + valid_until_ms, }) => { + assert_eq!(valid_from_ms, None); + assert_eq!(valid_until_ms, None); assert_eq!(collection, "myedges"); assert_eq!(src, "TO"); assert_eq!(dst, "FROM"); @@ -216,7 +272,9 @@ mod tests { max_depth, edge_labels, edge_predicate, + temporal, }) => { + assert!(!temporal.is_temporal()); assert!(edge_predicate.is_empty()); assert_eq!(collection, "docs"); assert_eq!(src, "a"); @@ -385,7 +443,7 @@ mod tests { fn parse_match_query_captures_raw() { let stmt = parsed("MATCH (x)-[:l]->(y) RETURN x, y"); match stmt { - NodedbStatement::Graph(GraphStmt::MatchQuery { body }) => { + NodedbStatement::Graph(GraphStmt::MatchQuery { body, .. }) => { assert!(body.starts_with("MATCH")); } other => panic!("expected MatchQuery, got {other:?}"), @@ -412,7 +470,9 @@ mod tests { RRF_K (60.0, 35.0)", ); match stmt { - NodedbStatement::Graph(GraphStmt::GraphRagFusion { collection, params }) => { + NodedbStatement::Graph(GraphStmt::GraphRagFusion { + collection, params, .. + }) => { assert_eq!(collection, "entities"); let v = params.query_vector.expect("QUERY ARRAY parsed"); assert_eq!(v.len(), 3); @@ -433,7 +493,9 @@ mod tests { fn parse_rag_fusion_minimal_defaults_to_none() { let stmt = parsed("GRAPH RAG FUSION ON mycol QUERY ARRAY[1.0, 0.0]"); match stmt { - NodedbStatement::Graph(GraphStmt::GraphRagFusion { collection, params }) => { + NodedbStatement::Graph(GraphStmt::GraphRagFusion { + collection, params, .. + }) => { assert_eq!(collection, "mycol"); assert!(params.query_vector.is_some()); assert_eq!(params.vector_top_k, None); @@ -659,7 +721,9 @@ mod tests { #[test] fn rag_fusion_bm25_field_is_the_on_after_bm25() { let params_of = |sql: &str| match parsed(sql) { - NodedbStatement::Graph(GraphStmt::GraphRagFusion { collection, params }) => { + NodedbStatement::Graph(GraphStmt::GraphRagFusion { + collection, params, .. + }) => { assert_eq!(collection, "entities"); params } @@ -675,4 +739,128 @@ mod tests { let params = params_of("GRAPH RAG FUSION ON entities QUERY ARRAY[0.1]"); assert_eq!(params.bm25_field, None); } + + // ── Temporal clauses ───────────────────────────────────────────────── + + fn temporal_of(sql: &str) -> TemporalScope { + match parsed(sql) { + NodedbStatement::Graph( + GraphStmt::GraphTraverse { temporal, .. } + | GraphStmt::GraphNeighbors { temporal, .. } + | GraphStmt::GraphPath { temporal, .. } + | GraphStmt::GraphAlgo { temporal, .. } + | GraphStmt::GraphRagFusion { temporal, .. } + | GraphStmt::MatchQuery { temporal, .. }, + ) => temporal, + other => panic!("expected a graph read, got {other:?}"), + } + } + + #[test] + fn every_graph_read_accepts_as_of() { + use nodedb_types::SystemTimeScope; + for sql in [ + "GRAPH TRAVERSE FROM 'x' IN coll DEPTH 2 AS OF SYSTEM TIME 1700", + "GRAPH TRAVERSE IN coll FROM 'x' AS OF SYSTEM TIME 1700 DEPTH 2", + "GRAPH NEIGHBORS IN coll OF 'x' AS OF SYSTEM TIME 1700", + "GRAPH PATH IN coll FROM 'a' TO 'b' AS OF SYSTEM TIME 1700 MAX_DEPTH 3", + "GRAPH ALGO PAGERANK ON coll AS OF SYSTEM TIME 1700 ITERATIONS 5", + "GRAPH RAG FUSION ON coll QUERY ARRAY[0.1] AS OF SYSTEM TIME 1700", + "MATCH (a)-[:l]->(b) IN coll AS OF SYSTEM TIME 1700 RETURN a, b", + ] { + assert_eq!( + temporal_of(sql).system_time, + SystemTimeScope::AsOf(1700), + "{sql}" + ); + } + } + + #[test] + fn traverse_with_as_of_keeps_its_other_clauses() { + match parsed( + "GRAPH TRAVERSE IN 'g' FROM 'a' AS OF SYSTEM TIME 5 AS OF VALID TIME 9 DEPTH 3 \ + EDGE WHERE w > 1", + ) { + NodedbStatement::Graph(GraphStmt::GraphTraverse { + depth, + edge_predicate, + temporal, + .. + }) => { + assert_eq!(depth, 3); + assert_eq!(edge_predicate.len(), 1); + assert_eq!(temporal.valid_time, ValidTime::At(9)); + } + other => panic!("expected GraphTraverse, got {other:?}"), + } + } + + #[test] + fn match_body_loses_its_as_of_text() { + match parsed("MATCH (a)-[:l]->(b) AS OF SYSTEM TIME 5 WHERE a.x = 1 RETURN a AS n") { + NodedbStatement::Graph(GraphStmt::MatchQuery { body, temporal }) => { + assert_eq!(body, "MATCH (a)-[:l]->(b) WHERE a.x = 1 RETURN a AS n"); + assert!(temporal.is_temporal()); + } + other => panic!("expected MatchQuery, got {other:?}"), + } + } + + #[test] + fn as_of_on_a_graph_write_is_refused() { + for (sql, command) in [ + ( + "GRAPH INSERT EDGE IN 'e' FROM 'a' TO 'b' TYPE 'l' AS OF SYSTEM TIME 5", + "GRAPH INSERT EDGE", + ), + ( + "GRAPH DELETE EDGE IN 'e' FROM 'a' TO 'b' TYPE 'l' AS OF SYSTEM TIME 5", + "GRAPH DELETE EDGE", + ), + ("GRAPH LABEL 'a' AS 'P' AS OF VALID TIME 5", "GRAPH LABEL"), + ] { + let error = parse_error(sql); + assert!( + error.contains(command) && error.contains("AS OF"), + "{sql}: {error}" + ); + } + } + + #[test] + fn valid_time_range_is_refused_on_graph_reads() { + let error = parse_error("GRAPH NEIGHBORS IN 'g' OF 'a' FOR VALID_TIME FROM 1 TO 5"); + assert!(error.contains("AS OF VALID TIME"), "{error}"); + } + + #[test] + fn insert_edge_valid_time_interval_parses() { + match parsed( + "GRAPH INSERT EDGE IN 'e' FROM 'a' TO 'b' TYPE 'l' \ + VALID_TIME '2024-01-01T00:00:00Z' UNTIL 1704153600000", + ) { + NodedbStatement::Graph(GraphStmt::GraphInsertEdge { + valid_from_ms, + valid_until_ms, + .. + }) => { + assert_eq!(valid_from_ms, Some(1_704_067_200_000)); + assert_eq!(valid_until_ms, Some(1_704_153_600_000)); + } + other => panic!("expected GraphInsertEdge, got {other:?}"), + } + } + + #[test] + fn insert_edge_empty_or_unanchored_interval_is_refused() { + let error = + parse_error("GRAPH INSERT EDGE IN 'e' FROM 'a' TO 'b' TYPE 'l' VALID_TIME 5 UNTIL 5"); + assert!(error.contains("UNTIL must be after VALID_TIME"), "{error}"); + let error = parse_error("GRAPH INSERT EDGE IN 'e' FROM 'a' TO 'b' TYPE 'l' UNTIL 5"); + assert!(error.contains("UNTIL needs VALID_TIME"), "{error}"); + let error = + parse_error("GRAPH INSERT EDGE IN 'e' FROM 'a' TO 'b' TYPE 'l' VALID_TIME 'soon'"); + assert!(error.contains("VALID_TIME"), "{error}"); + } } diff --git a/nodedb-sql/src/ddl_ast/graph_parse/variants.rs b/nodedb-sql/src/ddl_ast/graph_parse/variants.rs index 58697687f..8513947ba 100644 --- a/nodedb-sql/src/ddl_ast/graph_parse/variants.rs +++ b/nodedb-sql/src/ddl_ast/graph_parse/variants.rs @@ -15,14 +15,17 @@ use super::{ tokenizer::Tok, }; use crate::error::SqlError; +use crate::temporal::TemporalScope; use nodedb_types::filter::MetadataFilter; -/// Parse `GRAPH INSERT EDGE IN FROM TO TYPE [PROPERTIES ...]`. +/// Parse `GRAPH INSERT EDGE IN FROM TO TYPE [PROPERTIES ...] +/// [VALID_TIME [UNTIL ]]`. pub(super) fn parse_insert_edge(toks: &[Tok<'_>]) -> Result { const STMT: &str = "GRAPH INSERT EDGE"; let mut c = Cursor::new(toks, STMT, 3); let (mut collection, mut src, mut dst, mut label, mut properties) = (None, None, None, None, None); + let (mut valid_from_ms, mut valid_until_ms) = (None, None); while let Some(clause) = c.next_clause()? { match clause.as_str() { "IN" => set_once(&mut collection, c.value("IN")?, "IN", STMT)?, @@ -30,18 +33,45 @@ pub(super) fn parse_insert_edge(toks: &[Tok<'_>]) -> Result set_once(&mut dst, c.value("TO")?, "TO", STMT)?, "TYPE" => set_once(&mut label, c.value("TYPE")?, "TYPE", STMT)?, "PROPERTIES" => set_once(&mut properties, c.properties()?, "PROPERTIES", STMT)?, + "VALID_TIME" => set_once( + &mut valid_from_ms, + c.timestamp("VALID_TIME")?, + "VALID_TIME", + STMT, + )?, + "UNTIL" => set_once(&mut valid_until_ms, c.timestamp("UNTIL")?, "UNTIL", STMT)?, _ => return Err(c.unknown_clause()), } } + check_valid_interval(valid_from_ms, valid_until_ms)?; Ok(NodedbStatement::Graph(GraphStmt::GraphInsertEdge { collection: collection.ok_or_else(|| missing_clause(STMT, "IN "))?, src: src.ok_or_else(|| missing_clause(STMT, "FROM "))?, dst: dst.ok_or_else(|| missing_clause(STMT, "TO "))?, label: label.ok_or_else(|| missing_clause(STMT, "TYPE TO TYPE `. pub(super) fn parse_delete_edge(toks: &[Tok<'_>]) -> Result { const STMT: &str = "GRAPH DELETE EDGE"; @@ -96,6 +126,7 @@ pub(super) fn parse_set_labels( pub(super) fn parse_traverse( toks: &[Tok<'_>], edge_predicate: Vec, + temporal: TemporalScope, ) -> Result { const STMT: &str = "GRAPH TRAVERSE"; let mut c = Cursor::new(toks, STMT, 2); @@ -118,11 +149,15 @@ pub(super) fn parse_traverse( edge_labels: labels.unwrap_or_default(), direction: direction.unwrap_or(GraphDirection::Out), edge_predicate, + temporal, })) } /// Parse `GRAPH NEIGHBORS IN OF [LABEL ...] [DIRECTION d]`. -pub(super) fn parse_neighbors(toks: &[Tok<'_>]) -> Result { +pub(super) fn parse_neighbors( + toks: &[Tok<'_>], + temporal: TemporalScope, +) -> Result { const STMT: &str = "GRAPH NEIGHBORS"; let mut c = Cursor::new(toks, STMT, 2); let (mut collection, mut node, mut labels, mut direction) = (None, None, None, None); @@ -140,6 +175,7 @@ pub(super) fn parse_neighbors(toks: &[Tok<'_>]) -> Result"))?, edge_labels: labels.unwrap_or_default(), direction: direction.unwrap_or(GraphDirection::Out), + temporal, })) } @@ -147,6 +183,7 @@ pub(super) fn parse_neighbors(toks: &[Tok<'_>]) -> Result], edge_predicate: Vec, + temporal: TemporalScope, ) -> Result { const STMT: &str = "GRAPH PATH"; let mut c = Cursor::new(toks, STMT, 2); @@ -169,6 +206,7 @@ pub(super) fn parse_path( max_depth: max_depth.unwrap_or(10), edge_labels: labels.unwrap_or_default(), edge_predicate, + temporal, })) } @@ -189,7 +227,10 @@ struct AlgoClauses { } /// Parse `GRAPH ALGO ON [options...]`. -pub(super) fn parse_algo(toks: &[Tok<'_>]) -> Result { +pub(super) fn parse_algo( + toks: &[Tok<'_>], + temporal: TemporalScope, +) -> Result { const STMT: &str = "GRAPH ALGO"; let mut c = Cursor::new(toks, STMT, 2); let Some(algorithm) = c.next_clause()? else { @@ -232,6 +273,7 @@ pub(super) fn parse_algo(toks: &[Tok<'_>]) -> Result direction: a.direction, mode: a.mode, personalization: a.personalization, + temporal, })) } @@ -255,7 +297,10 @@ fn refuse_subquery(collection: &str) -> Result<(), SqlError> { /// /// The fusion parameters go through [`FusionParams::parse`], which every /// fusion SQL surface shares. -pub(super) fn parse_rag_fusion(toks: &[Tok<'_>]) -> Result { +pub(super) fn parse_rag_fusion( + toks: &[Tok<'_>], + temporal: TemporalScope, +) -> Result { const STMT: &str = "GRAPH RAG FUSION"; let mut c = Cursor::new(toks, STMT, 3); if !c.eat_keyword("ON") { @@ -266,5 +311,6 @@ pub(super) fn parse_rag_fusion(toks: &[Tok<'_>]) -> Result'`. +//! - `ALTER USER ... SET PASSWORD ''`. +//! +//! A secret-bearing statement that does not parse keeps only its leading +//! keywords, so a malformed one never carries its secret either. + +use super::{credential, user_auth}; +use crate::ddl_ast::alter_ops::AlterUserOp; +use crate::ddl_ast::statement::{AuthStmt, NodedbStatement, TenantSelector}; + +const REDACTED: &str = "''"; + +/// The redacted audit text of `sql`, or `None` when `sql` carries no secret +/// and its own text is the audit text. +pub fn audit_text_for(sql: &str) -> Option { + let trimmed = sql.trim(); + let upper = trimmed.to_uppercase(); + if let Some(text) = credential::audit_text(trimmed, &upper) { + return Some(text); + } + let create = upper.starts_with("CREATE USER "); + if !create && !upper.starts_with("ALTER USER ") { + return None; + } + let parsed = user_auth::try_parse(&upper, &[], trimmed)?; + match parsed { + Ok(NodedbStatement::Auth(AuthStmt::CreateUser { + username, + password, + role, + tenant, + if_not_exists, + })) => { + let mut text = String::from("CREATE USER "); + if if_not_exists { + text.push_str("IF NOT EXISTS "); + } + text.push_str(&username); + if !password.is_empty() { + text.push_str(" WITH PASSWORD "); + text.push_str(REDACTED); + } + if let Some(role) = role { + text.push_str(" ROLE "); + text.push_str(&role); + } + match tenant { + Some(TenantSelector::Id(id)) => text.push_str(&format!(" TENANT {id}")), + Some(TenantSelector::Name(name)) => text.push_str(&format!(" TENANT '{name}'")), + None => {} + } + Some(text) + } + Ok(NodedbStatement::Auth(AuthStmt::AlterUser { + username, + op: AlterUserOp::SetPassword { .. }, + })) => Some(format!("ALTER USER {username} SET PASSWORD {REDACTED}")), + // Every other form carries no secret. + Ok(_) => None, + Err(_) if create => Some("CREATE USER ".to_string()), + Err(_) => Some("ALTER USER ".to_string()), + } +} + +#[cfg(test)] +mod tests { + use super::audit_text_for; + + #[test] + fn a_credential_keeps_its_name_and_type_only() { + assert_eq!( + audit_text_for(" create credential earthdata (TYPE 'bearer', TOKEN 'tok-secret') ") + .as_deref(), + Some("CREATE CREDENTIAL earthdata (TYPE 'bearer', )") + ); + let s3 = audit_text_for( + "CREATE CREDENTIAL l (TYPE 's3', ACCESS_KEY_ID 'tok-a', SECRET_ACCESS_KEY 'tok-b', \ + REGION 'r', SESSION_TOKEN 'tok-c')", + ); + assert_eq!( + s3.as_deref(), + Some("CREATE CREDENTIAL l (TYPE 's3', )") + ); + assert_eq!( + audit_text_for("CREATE CREDENTIAL x (TYPE 'bearer', TOKEN 'tok-secret', 'tok-2')") + .as_deref(), + Some("CREATE CREDENTIAL ") + ); + } + + #[test] + fn a_user_password_is_removed() { + assert_eq!( + audit_text_for("CREATE USER alice WITH PASSWORD 'pw-secret' ROLE readwrite TENANT 7") + .as_deref(), + Some("CREATE USER alice WITH PASSWORD '' ROLE readwrite TENANT 7") + ); + assert_eq!( + audit_text_for("create user if not exists bob password 'pw-secret' tenant 'acme'") + .as_deref(), + Some("CREATE USER IF NOT EXISTS bob WITH PASSWORD '' TENANT 'acme'") + ); + assert_eq!( + audit_text_for("ALTER USER alice SET PASSWORD 'pw-secret'").as_deref(), + Some("ALTER USER alice SET PASSWORD ''") + ); + // A malformed statement keeps only its leading keywords. + assert_eq!( + audit_text_for("CREATE USER bob WITH PASSWORD 'pw-secret' BOGUS").as_deref(), + Some("CREATE USER ") + ); + assert_eq!( + audit_text_for("ALTER USER bob SET PASSWORD 'pw-secret' extra").as_deref(), + Some("ALTER USER ") + ); + } + + #[test] + fn a_statement_without_a_secret_keeps_its_text() { + for sql in [ + "ALTER USER alice SET ROLE readonly", + "ALTER USER alice PASSWORD NEVER EXPIRES", + "DROP CREDENTIAL earthdata", + "DROP USER alice", + "CREATE COLLECTION tok", + ] { + assert_eq!(audit_text_for(sql), None, "{sql}"); + } + } +} diff --git a/nodedb-sql/src/ddl_ast/parse/copy_from.rs b/nodedb-sql/src/ddl_ast/parse/copy_from.rs index 55a5127ea..f72a31208 100644 --- a/nodedb-sql/src/ddl_ast/parse/copy_from.rs +++ b/nodedb-sql/src/ddl_ast/parse/copy_from.rs @@ -1,8 +1,12 @@ // SPDX-License-Identifier: Apache-2.0 -//! Parse `COPY FROM '' [WITH (...)]`. +//! Parse `COPY FROM '' [WITH (...)]` and the raster +//! list form `COPY FROM ('', ...) WITH (FORMAT geotiff, ...)`. //! -//! The server-side file-path form parses here. Its options parse in +//! A source is a server path, an `http(s)://` URL or an `s3://bucket/key` +//! object. Text formats read one server file. A raster reads one source per +//! band group, and every remote source needs `FORMAT geotiff` or a `.tif` +//! path. The file-path form parses here. Its options parse in //! `copy_options`. The STDIN streaming shape //! (`COPY FROM STDIN`) parses in `copy_from_stdin`. The restore shape //! `COPY tenant_restore() FROM STDIN` returns `None`, so dispatch falls @@ -14,7 +18,7 @@ use super::clause::{ClauseCursor, Tok, Token, tokenize}; use super::copy_options::{detect_format_from_path, parse_copy_options}; -use crate::ddl_ast::statement::{MiscStmt, NodedbStatement}; +use crate::ddl_ast::statement::{CopyFormat, CopySource, MiscStmt, NodedbStatement}; use crate::error::SqlError; /// Which way a `COPY` statement moves rows. @@ -103,24 +107,31 @@ pub(super) fn try_parse( } fn parse_copy_from(sql: &str) -> Result { - // Grammar: COPY FROM '' [WITH (...)] + // Grammar: COPY FROM '' | ('', ...) [WITH (...)] let toks = tokenize(sql); let mut c = ClauseCursor::new(sql, &toks, "COPY"); c.expect_keyword("COPY")?; let collection = copy_collection_name(&mut c)?; c.expect_keyword("FROM")?; - let path = c - .string("FROM") - .map_err(|_| c.error("expected single-quoted path after FROM"))?; + let listed = c.peek_punct('('); + let sources = if listed { + c.paren_list("FROM sources", copy_source)? + } else { + vec![copy_source(&mut c)?] + }; let options = parse_copy_options(&mut c)?; let format = match options.format.clone() { Some(f) => Some(f), - None => detect_format_from_path(&path)?, + None => match sources.first() { + Some(first) => detect_format_from_path(first.format_hint())?, + None => None, + }, }; options.check_for(format.as_ref())?; + check_sources(&c, &sources, listed, format.as_ref())?; Ok(NodedbStatement::Misc(MiscStmt::CopyFromFile { collection, - path, + sources, format, delimiter: options.delimiter, header: options.header.unwrap_or(true), @@ -128,6 +139,38 @@ fn parse_copy_from(sql: &str) -> Result { })) } +/// One quoted source. +fn copy_source(c: &mut ClauseCursor<'_, '_>) -> Result { + let text = c + .string("FROM") + .map_err(|_| c.error("expected a single-quoted path or URL after FROM"))?; + CopySource::parse(&text).map_err(|e| c.error(format!("FROM: {e}"))) +} + +/// A text format reads one server file. A list of sources, and every +/// remote source, need `FORMAT geotiff`. +fn check_sources( + c: &ClauseCursor<'_, '_>, + sources: &[CopySource], + listed: bool, + format: Option<&CopyFormat>, +) -> Result<(), SqlError> { + if format == Some(&CopyFormat::GeoTiff) { + return Ok(()); + } + if listed { + return Err( + c.error("a list of sources loads one raster per band group and needs FORMAT geotiff") + ); + } + match sources { + [CopySource::File(_)] => Ok(()), + _ => Err( + c.error("text formats read one server file; HTTP and S3 sources need FORMAT geotiff") + ), + } +} + /// The copied collection: one bare or quoted name, quotes removed and /// lower-cased. pub(super) fn copy_collection_name(c: &mut ClauseCursor<'_, '_>) -> Result { @@ -143,7 +186,6 @@ pub(super) fn copy_collection_name(c: &mut ClauseCursor<'_, '_>) -> Result NodedbStatement { parse(sql).expect("expected Some").expect("expected Ok") @@ -160,10 +202,12 @@ mod tests { let stmt = ok("COPY usersßffİ FROM '/tmp/users.ndjson'"); match stmt { NodedbStatement::Misc(MiscStmt::CopyFromFile { - collection, path, .. + collection, + sources, + .. }) => { assert_eq!(collection, "usersßffi\u{307}"); - assert_eq!(path, "/tmp/users.ndjson"); + assert_eq!(sources, vec![CopySource::File("/tmp/users.ndjson".into())]); } other => panic!("unexpected: {other:?}"), } @@ -175,14 +219,14 @@ mod tests { match stmt { NodedbStatement::Misc(MiscStmt::CopyFromFile { collection, - path, + sources, format, delimiter, header, raster, }) => { assert_eq!(collection, "users"); - assert_eq!(path, "/tmp/users.ndjson"); + assert_eq!(sources, vec![CopySource::File("/tmp/users.ndjson".into())]); assert_eq!(format, Some(CopyFormat::Ndjson)); assert_eq!(delimiter, None); assert!(header); @@ -304,6 +348,55 @@ mod tests { assert!(parse("COPY tenant_restore(1) FROM STDIN").is_none()); } + #[test] + fn a_source_list_loads_one_raster_per_band_group() { + let stmt = ok("COPY scene FROM ('/B4.TIF', 'https://h.example/B5.TIF', \ + 's3://bucket/QA_PIXEL.TIF') WITH (FORMAT geotiff, BANDS (red, nir, qa))"); + match stmt { + NodedbStatement::Misc(MiscStmt::CopyFromFile { + sources, format, .. + }) => { + assert_eq!(format, Some(CopyFormat::GeoTiff)); + assert_eq!( + sources, + vec![ + CopySource::File("/B4.TIF".into()), + CopySource::Http("https://h.example/B5.TIF".into()), + CopySource::S3 { + bucket: "bucket".into(), + key: "QA_PIXEL.TIF".into() + }, + ] + ); + } + other => panic!("unexpected: {other:?}"), + } + } + + #[test] + fn remote_and_listed_sources_need_geotiff() { + let e = err("COPY users FROM 'https://h.example/u.csv'"); + assert!(e.to_string().contains("FORMAT geotiff"), "{e}"); + let e = err("COPY users FROM ('/a.csv', '/b.csv') WITH (FORMAT csv)"); + assert!(e.to_string().contains("FORMAT geotiff"), "{e}"); + let e = err("COPY scene FROM 'ftp://h/a.tif'"); + assert!(e.to_string().contains("scheme"), "{e}"); + let e = err("COPY scene FROM ()"); + assert!(matches!(e, SqlError::Parse { .. })); + } + + #[test] + fn an_s3_url_detects_geotiff_from_its_key() { + let stmt = ok("COPY scene FROM 's3://landsat/a/B4.TIF'"); + assert!(matches!( + stmt, + NodedbStatement::Misc(MiscStmt::CopyFromFile { + format: Some(CopyFormat::GeoTiff), + .. + }) + )); + } + #[test] fn unknown_with_option_is_err() { let e = err("COPY users FROM '/tmp/data.csv' WITH (FORMAT csv, BOGUS opt)"); diff --git a/nodedb-sql/src/ddl_ast/parse/copy_options.rs b/nodedb-sql/src/ddl_ast/parse/copy_options.rs index ea4571314..980e2b2f6 100644 --- a/nodedb-sql/src/ddl_ast/parse/copy_options.rs +++ b/nodedb-sql/src/ddl_ast/parse/copy_options.rs @@ -4,14 +4,15 @@ //! from the file extension. //! //! Text formats take `FORMAT`, `DELIMITER` and `HEADER`. GeoTIFF takes -//! `FORMAT geotiff`, `BANDS (name | SKIP, ...)`, `NODATA ` and -//! `TIME ''`. An option of the other family is refused once the -//! format is known. +//! `FORMAT geotiff`, `BANDS (name | SKIP, ...)`, `NODATA `, +//! `TIME ''`, `CREDENTIAL `, `ADOPT_METADATA `, +//! `OVERVIEW `, `WINDOW (x0, y0, x1, y1)` and `REQUESTER_PAYS `. +//! An option of the other family is refused once the format is known. use nodedb_types::NdbDateTime; use super::clause::{ClauseCursor, Tok, Token, parse_err}; -use crate::ddl_ast::statement::{CopyBand, CopyFormat, CopyRasterOptions}; +use crate::ddl_ast::statement::{CopyBand, CopyFormat, CopyRasterOptions, CopyWindow}; use crate::error::SqlError; /// The options of one `COPY ... WITH (...)` clause, before the format is @@ -36,7 +37,8 @@ impl CopyOptions { } if !geotiff && !self.raster.is_empty() { return Err(parse_err( - "COPY: BANDS, NODATA and TIME need FORMAT geotiff (or a .tif / .tiff path)", + "COPY: BANDS, NODATA, TIME, CREDENTIAL, ADOPT_METADATA, OVERVIEW, WINDOW and \ + REQUESTER_PAYS need FORMAT geotiff (or a .tif / .tiff path)", )); } Ok(()) @@ -49,6 +51,11 @@ enum OptionValue { Bands(Vec), Nodata(f64), TimeMs(i64), + Credential(String), + AdoptMetadata(bool), + Overview(u32), + Window(CopyWindow), + RequesterPays(bool), } /// Read an optional `WITH (key [=] value, ...)` and require the end of the @@ -63,6 +70,11 @@ pub(super) fn parse_copy_options(c: &mut ClauseCursor<'_, '_>) -> Result OptionValue::Bands(bands_value(c)?), "NODATA" => OptionValue::Nodata(nodata_value(c)?), "TIME" => OptionValue::TimeMs(time_value(c)?), + "CREDENTIAL" => OptionValue::Credential(c.name("CREDENTIAL")?), + "ADOPT_METADATA" => OptionValue::AdoptMetadata(c.bool_literal("ADOPT_METADATA")?), + "OVERVIEW" => OptionValue::Overview(overview_value(c)?), + "WINDOW" => OptionValue::Window(window_value(c)?), + "REQUESTER_PAYS" => OptionValue::RequesterPays(c.bool_literal("REQUESTER_PAYS")?), _ => OptionValue::Text(match c.string(&key) { Ok(value) => value, Err(_) => c.word(&key)?.to_string(), @@ -104,6 +116,11 @@ fn apply( (_, OptionValue::Bands(bands)) => options.raster.bands = Some(bands), (_, OptionValue::Nodata(nodata)) => options.raster.nodata = Some(nodata), (_, OptionValue::TimeMs(time_ms)) => options.raster.time_ms = Some(time_ms), + (_, OptionValue::Credential(name)) => options.raster.credential = Some(name), + (_, OptionValue::AdoptMetadata(adopt)) => options.raster.adopt_metadata = adopt, + (_, OptionValue::Overview(level)) => options.raster.overview = Some(level), + (_, OptionValue::Window(window)) => options.raster.window = Some(window), + (_, OptionValue::RequesterPays(pays)) => options.raster.requester_pays = pays, (other, OptionValue::Text(_)) => { return Err(c.error(format!("WITH: unknown option '{other}'"))); } @@ -188,6 +205,32 @@ fn nodata_value(c: &mut ClauseCursor<'_, '_>) -> Result { Ok(value) } +/// An image index: 0 is full resolution, `n` the n-th overview. +fn overview_value(c: &mut ClauseCursor<'_, '_>) -> Result { + let level = c.u64("OVERVIEW")?; + u32::try_from(level).map_err(|_| c.error(format!("OVERVIEW {level} is out of range"))) +} + +/// `(x0, y0, x1, y1)`: a non-empty half-open pixel window. +fn window_value(c: &mut ClauseCursor<'_, '_>) -> Result { + let bounds = c.paren_list("WINDOW", |c| { + let value = c.u64("WINDOW bound")?; + u32::try_from(value).map_err(|_| c.error(format!("WINDOW bound {value} is out of range"))) + })?; + let &[x0, y0, x1, y1] = bounds.as_slice() else { + return Err(c.error(format!( + "WINDOW takes four bounds (x0, y0, x1, y1) — found {}", + bounds.len() + ))); + }; + if x1 <= x0 || y1 <= y0 { + return Err(c.error(format!( + "WINDOW ({x0}, {y0}, {x1}, {y1}) is empty; x1 must exceed x0 and y1 must exceed y0" + ))); + } + Ok(CopyWindow { x0, y0, x1, y1 }) +} + /// A quoted ISO 8601 instant, in milliseconds since the Unix epoch. fn time_value(c: &mut ClauseCursor<'_, '_>) -> Result { let text = c.string("TIME")?; @@ -392,6 +435,37 @@ mod tests { assert!(message.contains("twice"), "{message}"); } + #[test] + fn remote_load_options_parse() { + let (_, raster) = copy_from( + "COPY s FROM 's3://b/k.tif' WITH (CREDENTIAL earthdata, ADOPT_METADATA true, \ + OVERVIEW 2, WINDOW (10, 20, 266, 276), REQUESTER_PAYS true)", + ); + assert_eq!(raster.credential.as_deref(), Some("earthdata")); + assert!(raster.adopt_metadata); + assert!(raster.requester_pays); + assert_eq!(raster.overview, Some(2)); + assert_eq!( + raster.window, + Some(CopyWindow { + x0: 10, + y0: 20, + x1: 266, + y1: 276 + }) + ); + } + + #[test] + fn a_window_needs_four_ordered_bounds() { + assert!(refusal("COPY s FROM '/d/s.tif' WITH (WINDOW (1, 2, 3))").contains("four")); + assert!(refusal("COPY s FROM '/d/s.tif' WITH (WINDOW (5, 0, 5, 9))").contains("empty")); + assert!(refusal("COPY s FROM '/d/s.tif' WITH (OVERVIEW -1)").contains("OVERVIEW")); + assert!( + refusal("COPY s FROM '/d/s.csv' WITH (ADOPT_METADATA true)").contains("FORMAT geotiff") + ); + } + #[test] fn unknown_format_lists_geotiff() { let message = refusal("COPY s FROM '/d/s.csv' WITH (FORMAT parquet)"); diff --git a/nodedb-sql/src/ddl_ast/parse/credential.rs b/nodedb-sql/src/ddl_ast/parse/credential.rs new file mode 100644 index 000000000..3a64b95ed --- /dev/null +++ b/nodedb-sql/src/ddl_ast/parse/credential.rs @@ -0,0 +1,273 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Parse `CREATE CREDENTIAL`, `DROP CREDENTIAL` and `SHOW CREDENTIALS`. +//! +//! Syntax: +//! - `CREATE CREDENTIAL (TYPE 's3', ACCESS_KEY_ID '..', SECRET_ACCESS_KEY '..', +//! REGION '..' [, SESSION_TOKEN '..'] [, ENDPOINT '..'])` +//! - `CREATE CREDENTIAL (TYPE 'bearer', TOKEN '..')` +//! - `CREATE CREDENTIAL (TYPE 'sas', TOKEN '..')` +//! - `DROP CREDENTIAL [IF EXISTS] ` +//! - `SHOW CREDENTIALS` +//! +//! Options come in any order, each once. No error message quotes an option +//! value, so a secret never reaches an error or a log line. + +use super::clause::{ClauseCursor, tokenize}; +use crate::ddl_ast::statement::{CredentialSpec, MiscStmt, NodedbStatement, SecretText}; +use crate::error::SqlError; + +/// The option keys `CREATE CREDENTIAL` takes. +const KEYS: &[&str] = &[ + "TYPE", + "ACCESS_KEY_ID", + "SECRET_ACCESS_KEY", + "REGION", + "SESSION_TOKEN", + "ENDPOINT", + "TOKEN", +]; + +/// Try to parse a credential statement. +pub(super) fn try_parse(upper: &str, trimmed: &str) -> Option> { + if upper.starts_with("CREATE CREDENTIAL ") { + return Some(parse_create(trimmed)); + } + if upper.starts_with("DROP CREDENTIAL ") { + return Some(parse_drop(trimmed)); + } + let bare = upper.trim_end_matches(';').trim_end(); + if bare == "SHOW CREDENTIALS" { + return Some(Ok(NodedbStatement::Misc(MiscStmt::ShowCredentials))); + } + None +} + +/// The audit text of a `CREATE CREDENTIAL` statement: its name and type, +/// with every secret removed. `None` for any other statement. A statement +/// that does not parse keeps only its leading keywords. +pub(super) fn audit_text(trimmed: &str, upper: &str) -> Option { + if !upper.starts_with("CREATE CREDENTIAL ") { + return None; + } + Some(match parse_create(trimmed) { + Ok(NodedbStatement::Misc(MiscStmt::CreateCredential { name, spec })) => format!( + "CREATE CREDENTIAL {name} (TYPE '{}', )", + spec.type_name() + ), + _ => "CREATE CREDENTIAL ".to_string(), + }) +} + +fn parse_create(sql: &str) -> Result { + let toks = tokenize(sql); + let mut c = ClauseCursor::new(sql, &toks, "CREATE CREDENTIAL"); + c.expect_keywords(&["CREATE", "CREDENTIAL"])?; + let name = c.name("credential name")?; + let shape = || { + format!( + "expected ( KEY 'value', ... ) with keys {}; values are quoted strings", + KEYS.join(", ") + ) + }; + let mut entries: Vec<(&'static str, String)> = Vec::new(); + c.expect_punct('(').map_err(|_| c.error(shape()))?; + loop { + let key = c.one_of("option", KEYS).map_err(|_| c.error(shape()))?; + let value = c.string(key).map_err(|_| c.error(shape()))?; + if entries.iter().any(|(seen, _)| *seen == key) { + return Err(c.error(format!("{key} appears twice"))); + } + entries.push((key, value)); + if !c.eat_punct(',') { + break; + } + } + c.expect_punct(')').map_err(|_| c.error(shape()))?; + if !c.at_end() { + return Err(c.error("unexpected content after the option list")); + } + let spec = build_spec(&c, entries)?; + Ok(NodedbStatement::Misc(MiscStmt::CreateCredential { + name, + spec, + })) +} + +/// The credential the options describe, checked against its `TYPE`. +fn build_spec( + c: &ClauseCursor<'_, '_>, + entries: Vec<(&'static str, String)>, +) -> Result { + let mut fields = Fields(entries); + let kind = fields + .take("TYPE") + .ok_or_else(|| c.error("TYPE is required: 's3', 'bearer' or 'sas'"))?; + let spec = match kind.to_ascii_lowercase().as_str() { + "s3" => CredentialSpec::S3 { + access_key_id: fields.secret(c, "ACCESS_KEY_ID", "s3")?, + secret_access_key: fields.secret(c, "SECRET_ACCESS_KEY", "s3")?, + region: fields.required(c, "REGION", "s3")?, + session_token: fields.take("SESSION_TOKEN").map(SecretText::new), + endpoint: fields.take("ENDPOINT"), + }, + "bearer" => CredentialSpec::Bearer { + token: fields.secret(c, "TOKEN", "bearer")?, + }, + "sas" => CredentialSpec::Sas { + token: fields.secret(c, "TOKEN", "sas")?, + }, + other => { + return Err(c.error(format!( + "TYPE '{other}' is not a credential type; use 's3', 'bearer' or 'sas'" + ))); + } + }; + if let Some((key, _)) = fields.0.first() { + return Err(c.error(format!( + "{key} does not apply to TYPE '{}'", + spec.type_name() + ))); + } + Ok(spec) +} + +/// The options not yet read. +struct Fields(Vec<(&'static str, String)>); + +impl Fields { + fn take(&mut self, key: &str) -> Option { + let at = self.0.iter().position(|(k, _)| *k == key)?; + Some(self.0.remove(at).1) + } + + fn required( + &mut self, + c: &ClauseCursor<'_, '_>, + key: &str, + kind: &str, + ) -> Result { + let value = self + .take(key) + .ok_or_else(|| c.error(format!("TYPE '{kind}' needs {key}")))?; + if value.is_empty() { + return Err(c.error(format!("{key} must not be empty"))); + } + Ok(value) + } + + fn secret( + &mut self, + c: &ClauseCursor<'_, '_>, + key: &str, + kind: &str, + ) -> Result { + self.required(c, key, kind).map(SecretText::new) + } +} + +fn parse_drop(sql: &str) -> Result { + let toks = tokenize(sql); + let mut c = ClauseCursor::new(sql, &toks, "DROP CREDENTIAL"); + c.expect_keywords(&["DROP", "CREDENTIAL"])?; + let if_exists = c.eat_keywords(&["IF", "EXISTS"]); + let name = c.name("credential name")?; + c.finish()?; + Ok(NodedbStatement::Misc(MiscStmt::DropCredential { + name, + if_exists, + })) +} + +#[cfg(test)] +mod tests { + use crate::ddl_ast::parse::dispatch::parse; + use crate::ddl_ast::statement::{CredentialSpec, MiscStmt, NodedbStatement}; + + fn ok(sql: &str) -> NodedbStatement { + parse(sql).expect("expected Some").expect("expected Ok") + } + + fn refusal(sql: &str) -> String { + parse(sql) + .expect("expected Some") + .expect_err("expected Err") + .to_string() + } + + #[test] + fn each_type_parses() { + let stmt = ok( + "CREATE CREDENTIAL landsat (TYPE 's3', ACCESS_KEY_ID 'AKIA1', \ + SECRET_ACCESS_KEY 'sek', REGION 'us-west-2', SESSION_TOKEN 'st')", + ); + match stmt { + NodedbStatement::Misc(MiscStmt::CreateCredential { name, spec }) => { + assert_eq!(name, "landsat"); + match spec { + CredentialSpec::S3 { + access_key_id, + secret_access_key, + region, + session_token, + endpoint, + } => { + assert_eq!(access_key_id.expose(), "AKIA1"); + assert_eq!(secret_access_key.expose(), "sek"); + assert_eq!(region, "us-west-2"); + assert_eq!( + session_token.map(|t| t.expose().to_string()), + Some("st".into()) + ); + assert_eq!(endpoint, None); + } + other => panic!("unexpected: {other:?}"), + } + } + other => panic!("unexpected: {other:?}"), + } + assert!(matches!( + ok("CREATE CREDENTIAL earthdata (TOKEN 'eyJ', TYPE 'bearer')"), + NodedbStatement::Misc(MiscStmt::CreateCredential { + spec: CredentialSpec::Bearer { .. }, + .. + }) + )); + assert!(matches!( + ok("CREATE CREDENTIAL blob (TYPE 'SAS', TOKEN 'sv=1')"), + NodedbStatement::Misc(MiscStmt::CreateCredential { + spec: CredentialSpec::Sas { .. }, + .. + }) + )); + } + + #[test] + fn drop_and_show_parse() { + assert_eq!( + ok("DROP CREDENTIAL IF EXISTS earthdata"), + NodedbStatement::Misc(MiscStmt::DropCredential { + name: "earthdata".into(), + if_exists: true + }) + ); + assert_eq!( + ok("SHOW CREDENTIALS"), + NodedbStatement::Misc(MiscStmt::ShowCredentials) + ); + } + + #[test] + fn refusals_never_quote_a_value() { + let message = refusal("CREATE CREDENTIAL x (TYPE 'bearer', TOKEN 'tok-secret', 'tok-2')"); + assert!(!message.contains("tok-"), "{message}"); + let message = refusal("CREATE CREDENTIAL x (TYPE 'bearer')"); + assert!(message.contains("TOKEN"), "{message}"); + let message = refusal("CREATE CREDENTIAL x (TYPE 'bearer', TOKEN 'a', REGION 'r')"); + assert!(message.contains("REGION"), "{message}"); + let message = refusal("CREATE CREDENTIAL x (TYPE 'ftp', TOKEN 'tok-secret')"); + assert!(!message.contains("tok-"), "{message}"); + let message = refusal("CREATE CREDENTIAL x (TYPE 's3', TOKEN 'a', TOKEN 'b')"); + assert!(message.contains("twice"), "{message}"); + } +} diff --git a/nodedb-sql/src/ddl_ast/parse/dispatch.rs b/nodedb-sql/src/ddl_ast/parse/dispatch.rs index c6f6f03fc..b3695f315 100644 --- a/nodedb-sql/src/ddl_ast/parse/dispatch.rs +++ b/nodedb-sql/src/ddl_ast/parse/dispatch.rs @@ -4,9 +4,9 @@ use super::{ alert, backup, change_stream, cluster_admin, collection, conflict_policy, copy_from, copy_to, - custom_type, database, grant, graph_stats, index, maintenance, materialized_view, - oidc_provider, redaction, retention, rls, schedule, sequence, synonym_group, tenant, trigger, - user_auth, + credential, custom_type, database, grant, graph_stats, index, maintenance, materialized_view, + oidc_provider, redaction, retention, rls, schedule, sequence, spatial_ref_sys, synonym_group, + tenant, trigger, user_auth, }; use crate::ddl_ast::graph_parse; use crate::ddl_ast::statement::NodedbStatement; @@ -66,6 +66,7 @@ pub fn parse(sql: &str) -> Option> { // `SHOW GRAPH STATS` must be checked before the generic collection parser // so its `SHOW` prefix is not consumed by `SHOW COLLECTIONS`/etc. try_family!(graph_stats::try_parse(&upper, &parts, trimmed)); + try_family!(credential::try_parse(&upper, trimmed)); // Conflict policy must be checked before the generic collection parser // so "SET ON CONFLICT" does not fall through to the raw-SQL path. try_family!(conflict_policy::try_parse(&upper, &parts, trimmed)); @@ -91,6 +92,7 @@ pub fn parse(sql: &str) -> Option> { try_family!(redaction::try_parse(&upper, &parts, trimmed)); try_family!(materialized_view::try_parse(&upper, &parts, trimmed)); try_family!(synonym_group::try_parse(&upper, &parts, trimmed)); + try_family!(spatial_ref_sys::try_parse(&upper, trimmed)); try_family!(custom_type::try_parse(&upper, &parts, trimmed)); try_family!(database::try_parse(&upper, &parts, trimmed)); try_family!(tenant::try_parse(&upper, &parts, trimmed)); @@ -469,7 +471,7 @@ mod tests { fn match_query_uses_body_field() { let stmt = ok("MATCH (x)-[:l]->(y) RETURN x, y"); match stmt { - NodedbStatement::Graph(GraphStmt::MatchQuery { body }) => { + NodedbStatement::Graph(GraphStmt::MatchQuery { body, .. }) => { assert!(body.starts_with("MATCH"), "body must hold the original SQL"); } other => panic!("expected MatchQuery, got {other:?}"), diff --git a/nodedb-sql/src/ddl_ast/parse/mod.rs b/nodedb-sql/src/ddl_ast/parse/mod.rs index 670365f94..254ccf3d9 100644 --- a/nodedb-sql/src/ddl_ast/parse/mod.rs +++ b/nodedb-sql/src/ddl_ast/parse/mod.rs @@ -1,6 +1,7 @@ // SPDX-License-Identifier: Apache-2.0 mod alert; +mod audit_text; mod backup; mod change_stream; mod clause; @@ -11,6 +12,7 @@ mod copy_from; mod copy_from_stdin; mod copy_options; mod copy_to; +mod credential; mod custom_type; pub mod database; mod dispatch; @@ -27,10 +29,12 @@ mod retention; mod rls; mod schedule; mod sequence; +mod spatial_ref_sys; mod synonym_group; mod tenant; mod trigger; mod user_auth; pub mod vector_primary; +pub use audit_text::audit_text_for; pub use dispatch::parse; diff --git a/nodedb-sql/src/ddl_ast/parse/spatial_ref_sys.rs b/nodedb-sql/src/ddl_ast/parse/spatial_ref_sys.rs new file mode 100644 index 000000000..5334c57e2 --- /dev/null +++ b/nodedb-sql/src/ddl_ast/parse/spatial_ref_sys.rs @@ -0,0 +1,154 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Parse `CREATE SPATIAL_REF_SYS` and `DROP SPATIAL_REF_SYS`. +//! +//! Syntax: +//! - `CREATE SPATIAL_REF_SYS (NAME '', PROJ '')` +//! - `CREATE SPATIAL_REF_SYS (NAME '', PROJJSON '')` +//! - `CREATE SPATIAL_REF_SYS (NAME '', WKT2 '')` +//! - `DROP SPATIAL_REF_SYS ` +//! +//! The two options come in either order, each once. Whether the code and +//! the definition are valid is the handler's question. + +use super::clause::{ClauseCursor, tokenize}; +use crate::ddl_ast::statement::{CrsTextFormat, MiscStmt, NodedbStatement}; +use crate::error::SqlError; + +/// Try to parse a user-defined CRS statement. +pub(super) fn try_parse(upper: &str, trimmed: &str) -> Option> { + if upper.starts_with("CREATE SPATIAL_REF_SYS") { + return Some(parse_create(trimmed)); + } + if upper.starts_with("DROP SPATIAL_REF_SYS") { + return Some(parse_drop(trimmed)); + } + None +} + +fn parse_create(sql: &str) -> Result { + let toks = tokenize(sql); + let mut c = ClauseCursor::new(sql, &toks, "CREATE SPATIAL_REF_SYS"); + c.expect_keywords(&["CREATE", "SPATIAL_REF_SYS"])?; + let srid = c.u64("SRID code")?; + c.expect_punct('(')?; + let mut name: Option = None; + let mut definition: Option<(CrsTextFormat, String)> = None; + loop { + let option = c.one_of("option", &["NAME", "PROJJSON", "PROJ", "WKT2"])?; + let value = c.string(option)?; + match option { + "NAME" if name.is_none() => name = Some(value), + "NAME" => return Err(c.error("NAME appears twice")), + other if definition.is_some() => { + return Err(c.error(format!( + "{other} conflicts with an earlier definition; give one of PROJ, PROJJSON, \ + WKT2" + ))); + } + "PROJ" => definition = Some((CrsTextFormat::Proj, value)), + "PROJJSON" => definition = Some((CrsTextFormat::ProjJson, value)), + _ => definition = Some((CrsTextFormat::Wkt2, value)), + } + if !c.eat_punct(',') { + break; + } + } + c.expect_punct(')')?; + c.finish()?; + let name = name.ok_or_else(|| c.error("NAME is required"))?; + if name.trim().is_empty() { + return Err(c.error("NAME must not be empty")); + } + let (format, definition) = + definition.ok_or_else(|| c.error("a definition is required: PROJ, PROJJSON or WKT2"))?; + Ok(NodedbStatement::Misc(MiscStmt::CreateSpatialRefSys { + srid, + name, + format, + definition, + })) +} + +fn parse_drop(sql: &str) -> Result { + let toks = tokenize(sql); + let mut c = ClauseCursor::new(sql, &toks, "DROP SPATIAL_REF_SYS"); + c.expect_keywords(&["DROP", "SPATIAL_REF_SYS"])?; + let srid = c.u64("SRID code")?; + c.finish()?; + Ok(NodedbStatement::Misc(MiscStmt::DropSpatialRefSys { srid })) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::ddl_ast::parse::dispatch::parse; + + fn ok(sql: &str) -> NodedbStatement { + parse(sql).expect("expected Some").expect("expected Ok") + } + + fn err(sql: &str) -> SqlError { + parse(sql) + .expect("expected Some") + .expect_err("expected Err") + } + + #[test] + fn create_each_format() { + let stmt = + ok("CREATE SPATIAL_REF_SYS 910001 (NAME 'Johor Grid', PROJ '+proj=tmerc +lon_0=103')"); + assert_eq!( + stmt, + NodedbStatement::Misc(MiscStmt::CreateSpatialRefSys { + srid: 910_001, + name: "Johor Grid".into(), + format: CrsTextFormat::Proj, + definition: "+proj=tmerc +lon_0=103".into(), + }) + ); + let stmt = ok(r#"create spatial_ref_sys 910002 (WKT2 'GEOGCRS["x"]', name 'n')"#); + let NodedbStatement::Misc(MiscStmt::CreateSpatialRefSys { + format, definition, .. + }) = stmt + else { + panic!("expected CreateSpatialRefSys"); + }; + assert_eq!(format, CrsTextFormat::Wkt2); + assert_eq!(definition, r#"GEOGCRS["x"]"#); + let stmt = + ok(r#"CREATE SPATIAL_REF_SYS 910003 (NAME 'j', PROJJSON '{"type": "GeographicCRS"}')"#); + assert!(matches!( + stmt, + NodedbStatement::Misc(MiscStmt::CreateSpatialRefSys { + format: CrsTextFormat::ProjJson, + .. + }) + )); + } + + #[test] + fn drop_reads_the_code() { + assert_eq!( + ok("DROP SPATIAL_REF_SYS 910001"), + NodedbStatement::Misc(MiscStmt::DropSpatialRefSys { srid: 910_001 }) + ); + } + + #[test] + fn malformed_statements_are_refused() { + for sql in [ + "CREATE SPATIAL_REF_SYS 910001 (PROJ '+proj=longlat')", + "CREATE SPATIAL_REF_SYS 910001 (NAME 'a')", + "CREATE SPATIAL_REF_SYS 910001 (NAME 'a', NAME 'b', PROJ 'x')", + "CREATE SPATIAL_REF_SYS 910001 (NAME 'a', PROJ 'x', WKT2 'y')", + "CREATE SPATIAL_REF_SYS 910001 (NAME '', PROJ 'x')", + "CREATE SPATIAL_REF_SYS abc (NAME 'a', PROJ 'x')", + "CREATE SPATIAL_REF_SYS 910001 (NAME 'a', PROJ 'x') extra", + "DROP SPATIAL_REF_SYS", + "DROP SPATIAL_REF_SYS 910001 CASCADE", + ] { + let _ = err(sql); + } + } +} diff --git a/nodedb-sql/src/ddl_ast/statement/copy_source.rs b/nodedb-sql/src/ddl_ast/statement/copy_source.rs new file mode 100644 index 000000000..424788f23 --- /dev/null +++ b/nodedb-sql/src/ddl_ast/statement/copy_source.rs @@ -0,0 +1,136 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The sources of `COPY ... FROM`: a server file, an HTTP(S) URL, or an S3 +//! object. + +/// One source a `COPY ... FROM` reads. +#[derive(Debug, Clone, PartialEq, Eq)] +pub enum CopySource { + /// A server file path. + File(String), + /// An `http://` or `https://` URL, read with byte-range requests. + Http(String), + /// An `s3://bucket/key` object. + S3 { bucket: String, key: String }, +} + +/// Why a source string names no source. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum CopySourceError { + #[error("source must not be empty")] + Empty, + #[error("'{0}' names no bucket and key; write s3:///")] + S3Shape(String), + #[error("'{0}' uses an unsupported scheme; use a server path, https://, http:// or s3://")] + Scheme(String), +} + +impl CopySource { + /// The source `text` names: `s3://bucket/key`, an `http(s)://` URL, or + /// a server path. + pub fn parse(text: &str) -> Result { + if text.is_empty() { + return Err(CopySourceError::Empty); + } + let lower = text.to_ascii_lowercase(); + if lower.starts_with("https://") || lower.starts_with("http://") { + return Ok(Self::Http(text.to_string())); + } + if lower.starts_with("s3://") { + let rest = &text["s3://".len()..]; + return match rest.split_once('/') { + Some((bucket, key)) if !bucket.is_empty() && !key.is_empty() => Ok(Self::S3 { + bucket: bucket.to_string(), + key: key.to_string(), + }), + _ => Err(CopySourceError::S3Shape(text.to_string())), + }; + } + if let Some((scheme, _)) = text.split_once("://") + && !scheme.is_empty() + && scheme + .chars() + .all(|c| c.is_ascii_alphanumeric() || c == '+') + { + return Err(CopySourceError::Scheme(text.to_string())); + } + Ok(Self::File(text.to_string())) + } + + /// The source as the statement wrote it, for messages. + pub fn display(&self) -> String { + match self { + Self::File(path) => path.clone(), + Self::Http(url) => url.clone(), + Self::S3 { bucket, key } => format!("s3://{bucket}/{key}"), + } + } + + /// The path part a format is detected from: the file path, the URL path + /// without its query, or the object key. + pub fn format_hint(&self) -> &str { + match self { + Self::File(path) => path, + Self::Http(url) => { + let end = url.find(['?', '#']).unwrap_or(url.len()); + &url[..end] + } + Self::S3 { key, .. } => key, + } + } +} + +/// `WINDOW (x0, y0, x1, y1)`: the pixel columns `x0..x1` and rows `y0..y1` +/// of the image, half-open. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct CopyWindow { + pub x0: u32, + pub y0: u32, + pub x1: u32, + pub y1: u32, +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn each_scheme_names_its_source() { + assert_eq!( + CopySource::parse("/data/a.tif"), + Ok(CopySource::File("/data/a.tif".into())) + ); + assert_eq!( + CopySource::parse("HTTPS://h.example/a.tif?x=1"), + Ok(CopySource::Http("HTTPS://h.example/a.tif?x=1".into())) + ); + assert_eq!( + CopySource::parse("s3://bucket/dir/a.tif"), + Ok(CopySource::S3 { + bucket: "bucket".into(), + key: "dir/a.tif".into() + }) + ); + assert!(matches!( + CopySource::parse("s3://bucket"), + Err(CopySourceError::S3Shape(_)) + )); + assert!(matches!( + CopySource::parse("ftp://h/a.tif"), + Err(CopySourceError::Scheme(_)) + )); + assert_eq!(CopySource::parse(""), Err(CopySourceError::Empty)); + } + + #[test] + fn the_format_hint_drops_the_query() { + let url = CopySource::Http("https://h.example/a.TIF?sig=1".into()); + assert_eq!(url.format_hint(), "https://h.example/a.TIF"); + let s3 = CopySource::S3 { + bucket: "b".into(), + key: "k.tif".into(), + }; + assert_eq!(s3.display(), "s3://b/k.tif"); + assert_eq!(s3.format_hint(), "k.tif"); + } +} diff --git a/nodedb-sql/src/ddl_ast/statement/credential.rs b/nodedb-sql/src/ddl_ast/statement/credential.rs new file mode 100644 index 000000000..90962e307 --- /dev/null +++ b/nodedb-sql/src/ddl_ast/statement/credential.rs @@ -0,0 +1,72 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! `CREATE CREDENTIAL`: the secrets a remote `COPY` source authenticates +//! with. A secret never prints: its `Debug` form is redacted. + +/// Secret text. `Debug` prints ``. +#[derive(Clone, PartialEq, Eq)] +pub struct SecretText(String); + +impl SecretText { + /// Wrap `text`. + pub fn new(text: String) -> Self { + Self(text) + } + + /// The secret. + pub fn expose(&self) -> &str { + &self.0 + } +} + +impl std::fmt::Debug for SecretText { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + f.write_str("") + } +} + +/// What a credential holds, by `TYPE`. +#[derive(Debug, Clone, PartialEq, Eq)] +pub enum CredentialSpec { + /// `TYPE 's3'`: AWS keys for `s3://` sources. + S3 { + access_key_id: SecretText, + secret_access_key: SecretText, + region: String, + session_token: Option, + /// An S3-compatible endpoint URL in place of AWS. + endpoint: Option, + }, + /// `TYPE 'bearer'`: an `Authorization: Bearer` token, such as an + /// Earthdata Login token. + Bearer { token: SecretText }, + /// `TYPE 'sas'`: a shared access signature appended to the URL query. + Sas { token: SecretText }, +} + +impl CredentialSpec { + /// The `TYPE` keyword. + pub fn type_name(&self) -> &'static str { + match self { + Self::S3 { .. } => "s3", + Self::Bearer { .. } => "bearer", + Self::Sas { .. } => "sas", + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn debug_never_prints_the_secret() { + let spec = CredentialSpec::Bearer { + token: SecretText::new("tok-123".into()), + }; + let text = format!("{spec:?}"); + assert!(!text.contains("tok-123"), "{text}"); + assert!(text.contains(""), "{text}"); + assert_eq!(spec.type_name(), "bearer"); + } +} diff --git a/nodedb-sql/src/ddl_ast/statement/maintenance.rs b/nodedb-sql/src/ddl_ast/statement/maintenance.rs index 4e61ccd72..5ada4718c 100644 --- a/nodedb-sql/src/ddl_ast/statement/maintenance.rs +++ b/nodedb-sql/src/ddl_ast/statement/maintenance.rs @@ -1,5 +1,7 @@ // SPDX-License-Identifier: Apache-2.0 +use super::copy_source::CopyWindow; + /// Source for `COPY ... TO`. #[derive(Debug, Clone, PartialEq, Eq)] pub enum CopyToSource { @@ -29,8 +31,8 @@ pub enum CopyFormat { JsonArray, /// CSV with an optional header row (`.csv`). Csv, - /// A GeoTIFF raster (`.tif` / `.tiff`), read from a server path into an - /// array. + /// A GeoTIFF raster (`.tif` / `.tiff`), read from a server path, an + /// HTTP(S) URL or an S3 object into an array. GeoTiff, } @@ -43,12 +45,12 @@ pub enum CopyBand { Skip, } -/// The GeoTIFF options of `COPY FROM '' WITH (FORMAT geotiff, ...)`. -/// Every field is `None` for the other formats. +/// The GeoTIFF options of `COPY FROM WITH (FORMAT geotiff, ...)`. +/// Every field is unset for the other formats. #[derive(Debug, Clone, PartialEq, Default)] pub struct CopyRasterOptions { - /// `BANDS (a, SKIP, b)`: entry `i` names where band `i` loads. `None` - /// loads band `i` into attribute `i`. + /// `BANDS (a, SKIP, b)`: entry `i` names where band `i` of the sources' + /// bands in order loads. `None` loads band `i` into attribute `i`. pub bands: Option>, /// `NODATA `: the nodata value, in place of the file's /// `GDAL_NODATA`. @@ -56,11 +58,30 @@ pub struct CopyRasterOptions { /// `TIME ''`: the scene instant every loaded cell carries, in /// milliseconds since the Unix epoch. pub time_ms: Option, + /// `CREDENTIAL `: the credential remote sources authenticate with. + pub credential: Option, + /// `ADOPT_METADATA true`: an attr with no metadata takes the band's + /// nodata, scale, offset and units from the file. + pub adopt_metadata: bool, + /// `OVERVIEW `: read overview `n` (1 is the first) in place of the + /// full-resolution image. + pub overview: Option, + /// `WINDOW (x0, y0, x1, y1)`: load this pixel window only. + pub window: Option, + /// `REQUESTER_PAYS true`: an `s3://` read bills the requester. + pub requester_pays: bool, } impl CopyRasterOptions { /// True when no GeoTIFF option is given. pub fn is_empty(&self) -> bool { - self.bands.is_none() && self.nodata.is_none() && self.time_ms.is_none() + self.bands.is_none() + && self.nodata.is_none() + && self.time_ms.is_none() + && self.credential.is_none() + && !self.adopt_metadata + && self.overview.is_none() + && self.window.is_none() + && !self.requester_pays } } diff --git a/nodedb-sql/src/ddl_ast/statement/mod.rs b/nodedb-sql/src/ddl_ast/statement/mod.rs index 2aa165bf1..82d8552b2 100644 --- a/nodedb-sql/src/ddl_ast/statement/mod.rs +++ b/nodedb-sql/src/ddl_ast/statement/mod.rs @@ -4,12 +4,16 @@ pub mod auth; pub mod collection; +pub mod copy_source; +pub mod credential; pub mod maintenance; pub mod types; pub mod wrapper; pub use auth::*; pub use collection::*; +pub use copy_source::*; +pub use credential::*; pub use maintenance::*; pub use types::*; pub use wrapper::*; diff --git a/nodedb-sql/src/ddl_ast/statement/types/graph.rs b/nodedb-sql/src/ddl_ast/statement/types/graph.rs index a84aa8fda..3679c8ec5 100644 --- a/nodedb-sql/src/ddl_ast/statement/types/graph.rs +++ b/nodedb-sql/src/ddl_ast/statement/types/graph.rs @@ -3,6 +3,7 @@ //! Graph DDL/DML statements. use crate::ddl_ast::graph_types::{GraphDirection, GraphProperties}; +use crate::temporal::TemporalScope; #[derive(Debug, Clone, PartialEq)] pub enum GraphStmt { @@ -13,6 +14,12 @@ pub enum GraphStmt { dst: String, label: String, properties: GraphProperties, + /// `VALID_TIME `: start of the edge's valid time, ms since + /// epoch. `None` takes the write's wall time. + valid_from_ms: Option, + /// `UNTIL `: exclusive end of the edge's valid time. `None` + /// leaves it open. + valid_until_ms: Option, }, GraphDeleteEdge { collection: String, @@ -37,6 +44,8 @@ pub enum GraphStmt { direction: GraphDirection, /// `EDGE WHERE` filters, AND-ed. Empty admits every edge. edge_predicate: Vec, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME` of the read. + temporal: TemporalScope, }, GraphNeighbors { /// Collection whose edges the traversal is scoped to. Required: a @@ -47,6 +56,8 @@ pub enum GraphStmt { /// Empty keeps every edge. Otherwise an edge with any listed label. edge_labels: Vec, direction: GraphDirection, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME` of the read. + temporal: TemporalScope, }, GraphPath { /// Collection whose edges the traversal is scoped to. Required: a @@ -60,6 +71,8 @@ pub enum GraphStmt { edge_labels: Vec, /// `EDGE WHERE` filters, AND-ed. Empty admits every edge. edge_predicate: Vec, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME` of the read. + temporal: TemporalScope, }, GraphAlgo { algorithm: String, @@ -77,13 +90,22 @@ pub enum GraphStmt { /// e.g. `PERSONALIZATION {"alice": 1.0, "bob": 0.5}`. Parsed into a /// `node_id → weight` map by the handler. `None` = standard PageRank. personalization: Option, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME` of the read. + temporal: TemporalScope, + }, + /// `MATCH (x)-[:l]->(y) RETURN x, y`. `body` is the statement with its + /// temporal clauses removed, for the graph pattern compiler. + MatchQuery { + body: String, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME` of the match. + temporal: TemporalScope, }, - /// `MATCH (x)-[:l]->(y) RETURN x, y` — body forwarded verbatim to the graph pattern compiler. - MatchQuery { body: String }, /// `GRAPH RAG FUSION ON QUERY ARRAY[…] [options…]` GraphRagFusion { collection: String, params: crate::ddl_ast::graph_parse::FusionParams, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME` of the read. + temporal: TemporalScope, }, /// `SHOW GRAPH STATS [''] [VERBOSE] [AS OF SYSTEM TIME ]` /// diff --git a/nodedb-sql/src/ddl_ast/statement/types/misc.rs b/nodedb-sql/src/ddl_ast/statement/types/misc.rs index 09713d77f..b019d1b8c 100644 --- a/nodedb-sql/src/ddl_ast/statement/types/misc.rs +++ b/nodedb-sql/src/ddl_ast/statement/types/misc.rs @@ -2,10 +2,23 @@ //! Miscellaneous DDL/DML statements. +use crate::ddl_ast::statement::copy_source::CopySource; +use crate::ddl_ast::statement::credential::CredentialSpec; use crate::ddl_ast::statement::maintenance::{ CopyFormat, CopyRasterOptions, CopyStdinFormat, CopyToSource, }; +/// The text form of a `CREATE SPATIAL_REF_SYS` definition. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum CrsTextFormat { + /// A PROJ string: `PROJ '+proj=...'`. + Proj, + /// PROJJSON: `PROJJSON '{...}'`. + ProjJson, + /// WKT2: `WKT2 'PROJCRS[...]'`. + Wkt2, +} + #[derive(Debug, Clone, PartialEq)] pub enum MiscStmt { // ── Miscellaneous ──────────────────────────────────────────── @@ -17,15 +30,44 @@ pub enum MiscStmt { collection: String, }, + // ── User-defined CRSs ──────────────────────────────────────── + /// `CREATE SPATIAL_REF_SYS (NAME '', PROJ|PROJJSON|WKT2 '')` + CreateSpatialRefSys { + srid: u64, + name: String, + format: CrsTextFormat, + definition: String, + }, + /// `DROP SPATIAL_REF_SYS ` + DropSpatialRefSys { + srid: u64, + }, + + // ── Credentials ────────────────────────────────────────────── + /// `CREATE CREDENTIAL (TYPE 's3' | 'bearer' | 'sas', ...)` + CreateCredential { + name: String, + spec: CredentialSpec, + }, + /// `DROP CREDENTIAL [IF EXISTS] ` + DropCredential { + name: String, + if_exists: bool, + }, + /// `SHOW CREDENTIALS`: names and types, never a secret. + ShowCredentials, + // ── Bulk import ────────────────────────────────────────────── /// `COPY FROM '' [WITH (FORMAT ..., DELIMITER ..., HEADER ...)]` - /// `COPY FROM '' WITH (FORMAT geotiff [, BANDS (...)] [, NODATA n] [, TIME '..'])` + /// `COPY FROM '' | ('', ...) WITH (FORMAT geotiff, ...)` /// - /// Server-side file-path bulk import. `CopyFromStdin` is the streaming - /// form, and `CopyToFile` the export. + /// Bulk import from a server file, or for a raster from HTTP(S) or S3 + /// sources too. `CopyFromStdin` is the streaming form, and `CopyToFile` + /// the export. CopyFromFile { collection: String, - path: String, + /// One source, or one per band group of a multi-source raster. + sources: Vec, format: Option, delimiter: Option, header: bool, diff --git a/nodedb-sql/src/functions/builtins/scalars/spatial/arg_shape.rs b/nodedb-sql/src/functions/builtins/scalars/spatial/arg_shape.rs index ac8b8e9c8..154b19501 100644 --- a/nodedb-sql/src/functions/builtins/scalars/spatial/arg_shape.rs +++ b/nodedb-sql/src/functions/builtins/scalars/spatial/arg_shape.rs @@ -44,13 +44,50 @@ static GEOMETRY_2_DISTANCE: &[ArgTypeSpec] = &[ arg("distance_m", FLOAT), ]; static GEOMETRY_SRID: &[ArgTypeSpec] = &[arg("geom", GEOMETRY), arg("srid", INT)]; +static GEOMETRY_SRID_EPOCH: &[ArgTypeSpec] = + &[arg("geom", GEOMETRY), arg("srid", INT), arg("epoch", FLOAT)]; static GEOMETRY_BUFFER: &[ArgTypeSpec] = &[ arg("geom", GEOMETRY), arg("distance_m", FLOAT), arg("segments", INT), ]; static LNG_LAT: &[ArgTypeSpec] = &[arg("lng", FLOAT), arg("lat", FLOAT)]; -static LNG_LAT_Z: &[ArgTypeSpec] = &[arg("x", FLOAT), arg("y", FLOAT), arg("z", FLOAT)]; +static XYZM: &[ArgTypeSpec] = &[ + arg("x", FLOAT), + arg("y", FLOAT), + arg("z", FLOAT), + arg("m", FLOAT), +]; +static XYM: &[ArgTypeSpec] = &[arg("x", FLOAT), arg("y", FLOAT), arg("m", FLOAT)]; +static GEOMETRY_NUMBER: &[ArgTypeSpec] = &[arg("geom", GEOMETRY), arg("value", FLOAT)]; +static GEOMETRY_NUMBERS_2_OPT: &[ArgTypeSpec] = &[ + arg("geom", GEOMETRY), + arg("value1", FLOAT), + arg("value2", FLOAT), +]; +static GEOMETRY_NUMBER_NUMBER_OPT: &[ArgTypeSpec] = &[ + arg("geom", GEOMETRY), + arg("measure", FLOAT), + arg("offset", FLOAT), +]; +static GEOMETRY_RANGE: &[ArgTypeSpec] = &[ + arg("geom", GEOMETRY), + arg("measure_start", FLOAT), + arg("measure_end", FLOAT), + arg("offset", FLOAT), +]; +static GEOMETRY_TEXT_OPT: &[ArgTypeSpec] = &[arg("geom", GEOMETRY), arg("option", TEXT)]; +static GEOMETRY_2_TEXT_OPT: &[ArgTypeSpec] = &[ + arg("geom1", GEOMETRY), + arg("geom2", GEOMETRY), + arg("pattern", TEXT), +]; +static TILE_ENVELOPE: &[ArgTypeSpec] = &[ + arg("zoom", INT), + arg("x", INT), + arg("y", INT), + arg("bounds", GEOMETRY), +]; static LNG_LAT_PRECISION: &[ArgTypeSpec] = &[arg("lng", FLOAT), arg("lat", FLOAT), arg("precision", INT)]; static LAT_LNG_RESOLUTION: &[ArgTypeSpec] = @@ -86,9 +123,9 @@ pub(super) fn arg_types(shape: GeoArgShape) -> &'static [ArgTypeSpec] { GeoArgShape::Geometry2 => GEOMETRY_2, GeoArgShape::Geometry2Distance => GEOMETRY_2_DISTANCE, GeoArgShape::GeometrySrid => GEOMETRY_SRID, + GeoArgShape::GeometrySridEpoch => GEOMETRY_SRID_EPOCH, GeoArgShape::GeometryBuffer => GEOMETRY_BUFFER, GeoArgShape::LngLat => LNG_LAT, - GeoArgShape::LngLatZ => LNG_LAT_Z, GeoArgShape::LngLatPrecision => LNG_LAT_PRECISION, GeoArgShape::LatLngResolution => LAT_LNG_RESOLUTION, GeoArgShape::Text1 => TEXT_1, @@ -99,23 +136,33 @@ pub(super) fn arg_types(shape: GeoArgShape) -> &'static [ArgTypeSpec] { GeoArgShape::Bbox => BBOX, GeoArgShape::PointsVariadic => POINTS_VARIADIC, GeoArgShape::RingsVariadic => RINGS_VARIADIC, + GeoArgShape::Xyzm => XYZM, + GeoArgShape::Xym => XYM, + GeoArgShape::GeometryNumber | GeoArgShape::GeometryNumberOpt => GEOMETRY_NUMBER, + GeoArgShape::GeometryNumbers2Opt => GEOMETRY_NUMBERS_2_OPT, + GeoArgShape::GeometryNumberNumberOpt => GEOMETRY_NUMBER_NUMBER_OPT, + GeoArgShape::GeometryRange => GEOMETRY_RANGE, + GeoArgShape::GeometryTextOpt => GEOMETRY_TEXT_OPT, + GeoArgShape::Geometry2TextOpt => GEOMETRY_2_TEXT_OPT, + GeoArgShape::TileEnvelope => TILE_ENVELOPE, } } /// Plan-time return type for a catalog return kind. /// -/// `Object` and `Array` results (decoded geohash bounds, H3 cell centres, -/// neighbour lists) have no scalar column type; `None` marks them as resolved -/// at runtime, the same convention the rest of the registry uses. +/// `Object` results (decoded geohash bounds, H3 cell centres) and `ByArity` +/// results (`ST_Relate`) have no single column type. `None` marks them as +/// resolved at runtime, the same convention the rest of the registry uses. pub(super) fn return_type(returns: GeoReturn) -> Option { match returns { GeoReturn::Bool => Some(ColumnType::Bool), GeoReturn::Float => Some(ColumnType::Float64), GeoReturn::Int => Some(ColumnType::Int64), GeoReturn::Text => Some(ColumnType::String), + GeoReturn::Bytes => Some(ColumnType::Bytes), GeoReturn::Geometry => Some(ColumnType::Geometry), GeoReturn::Array => Some(ColumnType::Array), - GeoReturn::Object => None, + GeoReturn::Object | GeoReturn::ByArity => None, } } diff --git a/nodedb-sql/src/functions/builtins/scalars/spatial/triggers.rs b/nodedb-sql/src/functions/builtins/scalars/spatial/triggers.rs index c6a40ac88..6b456b452 100644 --- a/nodedb-sql/src/functions/builtins/scalars/spatial/triggers.rs +++ b/nodedb-sql/src/functions/builtins/scalars/spatial/triggers.rs @@ -4,7 +4,7 @@ //! //! Search routing is a planner concern, not a property of the function's //! semantics, so it lives here rather than in the shared catalog. Only the -//! four predicates the spatial engine can answer from its index are routed; +//! five predicates the spatial engine can answer from its index are routed; //! every other geo function evaluates per-row. use crate::functions::registry::SearchTrigger; @@ -12,6 +12,7 @@ use crate::functions::registry::SearchTrigger; pub(super) fn search_trigger(canonical: &str) -> SearchTrigger { match canonical { "st_dwithin" => SearchTrigger::SpatialDWithin, + "st_3ddwithin" => SearchTrigger::SpatialDWithin3D, "st_contains" => SearchTrigger::SpatialContains, "st_intersects" => SearchTrigger::SpatialIntersects, "st_within" => SearchTrigger::SpatialWithin, @@ -28,7 +29,13 @@ mod tests { /// name the catalog does not declare would never fire. #[test] fn routed_predicates_are_declared_in_the_catalog() { - for name in ["st_dwithin", "st_contains", "st_intersects", "st_within"] { + for name in [ + "st_dwithin", + "st_3ddwithin", + "st_contains", + "st_intersects", + "st_within", + ] { assert!( catalog::lookup(name).is_some(), "'{name}' is routed to the spatial index but is not in the catalog" diff --git a/nodedb-sql/src/functions/registry.rs b/nodedb-sql/src/functions/registry.rs index 9b681a511..9c17f4ace 100644 --- a/nodedb-sql/src/functions/registry.rs +++ b/nodedb-sql/src/functions/registry.rs @@ -62,6 +62,7 @@ pub enum SearchTrigger { HybridSearch, TextMatch, SpatialDWithin, + SpatialDWithin3D, SpatialContains, SpatialIntersects, SpatialWithin, diff --git a/nodedb-sql/src/lib.rs b/nodedb-sql/src/lib.rs index 2e28aad35..d667a053e 100644 --- a/nodedb-sql/src/lib.rs +++ b/nodedb-sql/src/lib.rs @@ -191,7 +191,7 @@ fn plan_statements( /// Plan one parsed array statement. fn plan_array_statement(stmt: ArrayStatement, catalog: &dyn SqlCatalog) -> Result> { match stmt { - ArrayStatement::Create(c) => Ok(vec![planner::array_ddl::plan_create_array(&c)?]), + ArrayStatement::Create(c) => Ok(vec![planner::array_ddl::plan_create_array(&c, catalog)?]), ArrayStatement::Drop(d) => Ok(vec![planner::array_ddl::plan_drop_array(&d)?]), ArrayStatement::Insert(i) => planner::array_dml::plan_insert_array(&i, catalog), ArrayStatement::Delete(d) => planner::array_dml::plan_delete_array(&d, catalog), diff --git a/nodedb-sql/src/parser/array_stmt/ast.rs b/nodedb-sql/src/parser/array_stmt/ast.rs index 142b44f81..a8fbb32f6 100644 --- a/nodedb-sql/src/parser/array_stmt/ast.rs +++ b/nodedb-sql/src/parser/array_stmt/ast.rs @@ -3,8 +3,8 @@ //! Typed AST returned by the array-statement parser. use crate::types_array::{ - ArrayAttrAst, ArrayCellOrderAst, ArrayCoordLiteral, ArrayDimAst, ArrayGeorefAlter, - ArrayGeorefAst, ArrayInsertRow, ArrayTileOrderAst, + ArrayAttrAst, ArrayAttrMetaAlter, ArrayCellOrderAst, ArrayCoordLiteral, ArrayDimAst, + ArrayGeorefAlter, ArrayGeorefAst, ArrayInsertRow, ArrayTileOrderAst, }; /// Top-level array-statement AST. One variant per surface command. @@ -18,7 +18,9 @@ pub enum ArrayStatement { } /// `ALTER ARRAY SET ( key = value [, key = value]* )`, -/// `ALTER ARRAY SET GEOREF (...)`, or `ALTER ARRAY DROP GEOREF`. +/// `ALTER ARRAY SET GEOREF (...)`, `ALTER ARRAY DROP GEOREF`, +/// `ALTER ARRAY ALTER ATTR SET (NODATA n, ...)`, or +/// `ALTER ARRAY ALTER ATTR DROP NODATA [, ...]`. /// /// Supported SET keys: /// - `audit_retain_ms` — `NULL` or non-negative integer. @@ -37,6 +39,8 @@ pub enum AlterArrayAction { SetOptions(Vec<(String, Option)>), /// `SET GEOREF (...)` or `DROP GEOREF`. Georef(ArrayGeorefAlter), + /// `ALTER ATTR SET (...)` or `ALTER ATTR DROP ...`. + AttrMeta(ArrayAttrMetaAlter), } #[derive(Debug, Clone, PartialEq)] diff --git a/nodedb-sql/src/parser/array_stmt/parse_impl/alter.rs b/nodedb-sql/src/parser/array_stmt/parse_impl/alter.rs index 71ae0442b..7cc6d2c14 100644 --- a/nodedb-sql/src/parser/array_stmt/parse_impl/alter.rs +++ b/nodedb-sql/src/parser/array_stmt/parse_impl/alter.rs @@ -5,14 +5,24 @@ use crate::error::Result; use crate::parser::array_stmt::ast::{AlterArrayAction, AlterArrayAst}; use crate::parser::array_stmt::lexer::Tok; -use crate::types_array::ArrayGeorefAlter; +use crate::types_array::{ArrayAttrMetaAlter, ArrayAttrMetaChange, ArrayGeorefAlter}; use super::core::Parser; impl<'a> Parser<'a> { pub(in crate::parser::array_stmt::parse) fn parse_alter(&mut self) -> Result { let name = self.expect_ident()?; - let action = if self.match_kw("DROP") { + let action = if self.match_kw("ALTER") { + self.expect_kw("ATTR")?; + let attr = self.expect_ident()?; + let change = if self.match_kw("DROP") { + ArrayAttrMetaChange::Drop(self.parse_meta_drop()?) + } else { + self.expect_kw("SET")?; + ArrayAttrMetaChange::Set(self.parse_meta_set()?) + }; + AlterArrayAction::AttrMeta(ArrayAttrMetaAlter { attr, change }) + } else if self.match_kw("DROP") { self.expect_kw("GEOREF")?; AlterArrayAction::Georef(ArrayGeorefAlter::Drop) } else { diff --git a/nodedb-sql/src/parser/array_stmt/parse_impl/attr_meta.rs b/nodedb-sql/src/parser/array_stmt/parse_impl/attr_meta.rs new file mode 100644 index 000000000..b61ac445e --- /dev/null +++ b/nodedb-sql/src/parser/array_stmt/parse_impl/attr_meta.rs @@ -0,0 +1,221 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Attr metadata clauses: `NODATA n`, `SCALE n`, `OFFSET n`, `UNITS '..'`. +//! +//! `CREATE ARRAY` writes them after the attr type, space-separated: +//! `red UINT16 NODATA 0 SCALE 0.0000275 OFFSET -0.2 UNITS 'reflectance'`. +//! `ALTER ARRAY a ALTER ATTR red SET (NODATA 0, SCALE 0.5)` sets them, and +//! `ALTER ARRAY a ALTER ATTR red DROP NODATA, UNITS` removes them. +//! +//! A number is an integer or float literal, `NAN` or `INF`, or one of +//! `'nan'`, `'inf'`, `'-inf'` quoted. The lexer reads a leading `-` only +//! before a digit, so negative infinity takes the quoted form. The engine +//! checks that each value fits the attr type. + +use crate::error::Result; +use crate::parser::array_stmt::lexer::Tok; +use crate::types_array::{ArrayAttrMetaAst, ArrayAttrMetaKey}; + +use super::core::Parser; + +impl<'a> Parser<'a> { + /// The metadata key the next token names, without consuming it. + pub(super) fn peek_meta_key(&self) -> Option { + match self.peek() { + Some(Tok::Ident(s)) => meta_key(s), + _ => None, + } + } + + /// Parse one `KEY value` pair into `meta`. A key given twice is refused. + pub(super) fn parse_meta_pair(&mut self, meta: &mut ArrayAttrMetaAst) -> Result<()> { + let key = self.expect_meta_key()?; + if key.is_set(meta) { + return Err(self.err(format!("{} is given twice", key.sql_name()))); + } + match key { + ArrayAttrMetaKey::Nodata => meta.nodata = Some(self.parse_meta_number(key)?), + ArrayAttrMetaKey::Scale => meta.scale = Some(self.parse_meta_number(key)?), + ArrayAttrMetaKey::Offset => meta.offset = Some(self.parse_meta_number(key)?), + ArrayAttrMetaKey::Units => match self.bump().map(|t| &t.tok) { + Some(Tok::Str(s)) => meta.units = Some(s.clone()), + other => { + return Err(self.err(format!("UNITS expects a quoted string, got {other:?}"))); + } + }, + } + Ok(()) + } + + /// Parse `( KEY value [, KEY value]* )` after `SET`. + pub(super) fn parse_meta_set(&mut self) -> Result { + self.expect(&Tok::LParen)?; + let mut meta = ArrayAttrMetaAst::default(); + loop { + self.parse_meta_pair(&mut meta)?; + if !self.match_token(&Tok::Comma) { + break; + } + } + self.expect(&Tok::RParen)?; + Ok(meta) + } + + /// Parse `KEY [, KEY]*` after `DROP`. A key named twice is refused. + pub(super) fn parse_meta_drop(&mut self) -> Result> { + let mut keys: Vec = Vec::new(); + loop { + let key = self.expect_meta_key()?; + if keys.contains(&key) { + return Err(self.err(format!("DROP {} is given twice", key.sql_name()))); + } + keys.push(key); + if !self.match_token(&Tok::Comma) { + break; + } + } + Ok(keys) + } + + fn expect_meta_key(&mut self) -> Result { + match self.bump().map(|t| &t.tok) { + Some(Tok::Ident(s)) => meta_key(s).ok_or_else(|| { + self.err(format!( + "unknown attr metadata `{s}`; expected NODATA, SCALE, OFFSET or UNITS" + )) + }), + other => Err(self.err(format!( + "expected NODATA, SCALE, OFFSET or UNITS, got {other:?}" + ))), + } + } + + fn parse_meta_number(&mut self, key: ArrayAttrMetaKey) -> Result { + let named = |s: &str| match s.to_ascii_lowercase().as_str() { + "nan" => Some(f64::NAN), + "inf" | "infinity" | "+inf" | "+infinity" => Some(f64::INFINITY), + "-inf" | "-infinity" => Some(f64::NEG_INFINITY), + _ => None, + }; + let value = match self.bump().map(|t| &t.tok) { + Some(Tok::Int(n)) => Some(*n as f64), + Some(Tok::Float(f)) => Some(*f), + Some(Tok::Ident(s)) | Some(Tok::Str(s)) => named(s), + _ => None, + }; + value.ok_or_else(|| { + self.err(format!( + "{} expects a number, NAN, INF or '-inf'", + key.sql_name() + )) + }) + } +} + +fn meta_key(s: &str) -> Option { + match s.to_ascii_uppercase().as_str() { + "NODATA" => Some(ArrayAttrMetaKey::Nodata), + "SCALE" => Some(ArrayAttrMetaKey::Scale), + "OFFSET" => Some(ArrayAttrMetaKey::Offset), + "UNITS" => Some(ArrayAttrMetaKey::Units), + _ => None, + } +} + +#[cfg(test)] +mod tests { + use crate::parser::array_stmt::ast::{AlterArrayAction, ArrayStatement}; + use crate::parser::array_stmt::try_parse_array_statement; + use crate::types_array::{ + ArrayAttrMetaAlter, ArrayAttrMetaAst, ArrayAttrMetaChange, ArrayAttrMetaKey, ArrayAttrType, + }; + + fn create(attrs: &str) -> crate::parser::array_stmt::ast::CreateArrayAst { + let sql = format!( + "CREATE ARRAY scene DIMS (row INT64 [0..9], col INT64 [0..9]) ATTRS ({attrs}) \ + TILE_EXTENTS (10, 10)" + ); + match try_parse_array_statement(&sql).expect("parses") { + Some(ArrayStatement::Create(c)) => c, + other => panic!("expected CREATE, got {other:?}"), + } + } + + #[test] + fn create_reads_every_metadata_clause() { + let c = create( + "red UINT16 NODATA 0 SCALE 0.0000275 OFFSET -0.2 UNITS 'reflectance', \ + qa INT8 NOT NULL, sst FLOAT32 NODATA NAN", + ); + assert_eq!( + c.attrs[0].meta, + ArrayAttrMetaAst { + nodata: Some(0.0), + scale: Some(0.0000275), + offset: Some(-0.2), + units: Some("reflectance".into()), + } + ); + assert_eq!(c.attrs[1].dtype, ArrayAttrType::Int8); + assert!(!c.attrs[1].nullable); + assert_eq!(c.attrs[1].meta, ArrayAttrMetaAst::default()); + assert!(c.attrs[2].meta.nodata.is_some_and(f64::is_nan)); + } + + #[test] + fn not_null_and_metadata_mix_in_any_order() { + let c = create("b1 UINT16 NODATA 0 NOT NULL UNITS 'dn'"); + assert!(!c.attrs[0].nullable); + assert_eq!(c.attrs[0].meta.nodata, Some(0.0)); + assert_eq!(c.attrs[0].meta.units.as_deref(), Some("dn")); + } + + #[test] + fn a_repeated_or_malformed_clause_is_refused() { + for attrs in [ + "b1 UINT16 NODATA 0 NODATA 1", + "b1 UINT16 SCALE 'x'", + "b1 UINT16 UNITS 3", + ] { + let sql = + format!("CREATE ARRAY s DIMS (r INT64 [0..9]) ATTRS ({attrs}) TILE_EXTENTS (10)"); + assert!(try_parse_array_statement(&sql).is_err(), "{attrs}"); + } + } + + fn alter(sql: &str) -> AlterArrayAction { + match try_parse_array_statement(sql).expect("parses") { + Some(ArrayStatement::Alter(a)) => a.action, + other => panic!("expected ALTER, got {other:?}"), + } + } + + #[test] + fn alter_attr_sets_and_drops() { + assert_eq!( + alter("ALTER ARRAY scene ALTER ATTR red SET (NODATA 0, SCALE 0.5)"), + AlterArrayAction::AttrMeta(ArrayAttrMetaAlter { + attr: "red".into(), + change: ArrayAttrMetaChange::Set(ArrayAttrMetaAst { + nodata: Some(0.0), + scale: Some(0.5), + ..ArrayAttrMetaAst::default() + }), + }) + ); + assert_eq!( + alter("ALTER ARRAY scene ALTER ATTR red DROP NODATA, UNITS"), + AlterArrayAction::AttrMeta(ArrayAttrMetaAlter { + attr: "red".into(), + change: ArrayAttrMetaChange::Drop(vec![ + ArrayAttrMetaKey::Nodata, + ArrayAttrMetaKey::Units + ]), + }) + ); + assert!( + try_parse_array_statement("ALTER ARRAY s ALTER ATTR red DROP NODATA, NODATA").is_err() + ); + assert!(try_parse_array_statement("ALTER ARRAY s ALTER ATTR red SET (COLOR 1)").is_err()); + } +} diff --git a/nodedb-sql/src/parser/array_stmt/parse_impl/create.rs b/nodedb-sql/src/parser/array_stmt/parse_impl/create.rs index e5f48c94e..50a01e3fd 100644 --- a/nodedb-sql/src/parser/array_stmt/parse_impl/create.rs +++ b/nodedb-sql/src/parser/array_stmt/parse_impl/create.rs @@ -6,8 +6,8 @@ use crate::error::Result; use crate::parser::array_stmt::ast::CreateArrayAst; use crate::parser::array_stmt::lexer::Tok; use crate::types_array::{ - ArrayAttrAst, ArrayAttrType, ArrayCellOrderAst, ArrayDimAst, ArrayDimType, ArrayDomainBound, - ArrayTileOrderAst, + ArrayAttrAst, ArrayAttrMetaAst, ArrayAttrType, ArrayCellOrderAst, ArrayDimAst, ArrayDimType, + ArrayDomainBound, ArrayTileOrderAst, }; use super::core::Parser; @@ -176,18 +176,26 @@ impl<'a> Parser<'a> { let type_name = self.expect_ident()?; let dtype = parse_attr_type(&type_name) .ok_or_else(|| self.err(format!("unknown attr type `{type_name}`")))?; - let nullable = if self.match_kw("NOT") { - // The lexer reads `NULL` as its own token, never as an identifier. - self.expect(&Tok::Null)?; - false - } else { - // Default: nullable. - true - }; + // Default: nullable. `NOT NULL` and the metadata clauses follow the + // type in any order. + let mut nullable = true; + let mut meta = ArrayAttrMetaAst::default(); + loop { + if self.match_kw("NOT") { + // The lexer reads `NULL` as its own token, never as an identifier. + self.expect(&Tok::Null)?; + nullable = false; + } else if self.peek_meta_key().is_some() { + self.parse_meta_pair(&mut meta)?; + } else { + break; + } + } Ok(ArrayAttrAst { name, dtype, nullable, + meta, }) } @@ -245,10 +253,14 @@ fn parse_dim_type(s: &str) -> Option { } } -/// An attr type name. `INT` is the 4-byte `INT32`, as in PostgreSQL. A -/// bare `FLOAT` is the 8-byte `FLOAT64`. +/// An attr type name. The canonical names give the width in bits, so +/// `INT8` is the 1-byte signed type, like `UINT8`. The PostgreSQL aliases +/// give it in bytes: `INT2` is `INT16`, `INT4` is `INT32`, and an 8-byte +/// integer is `INT64` or `BIGINT`. `INT` is the 4-byte `INT32`, as in +/// PostgreSQL. A bare `FLOAT` is the 8-byte `FLOAT64`. fn parse_attr_type(s: &str) -> Option { match s.to_ascii_uppercase().as_str() { + "INT8" | "TINYINT" => Some(ArrayAttrType::Int8), "INT64" | "BIGINT" => Some(ArrayAttrType::Int64), "FLOAT64" | "DOUBLE" | "FLOAT" => Some(ArrayAttrType::Float64), "STRING" | "TEXT" | "VARCHAR" => Some(ArrayAttrType::String), diff --git a/nodedb-sql/src/parser/array_stmt/parse_impl/georef.rs b/nodedb-sql/src/parser/array_stmt/parse_impl/georef.rs index efdef8fe5..7cdfbdecc 100644 --- a/nodedb-sql/src/parser/array_stmt/parse_impl/georef.rs +++ b/nodedb-sql/src/parser/array_stmt/parse_impl/georef.rs @@ -2,9 +2,10 @@ //! `GEOREF (SRID n, X dim, Y dim [, TRANSFORM (gt0, .., gt5)])` clause parsing. //! -//! The parser checks the SRID against the supported set and the coefficient -//! count. The planner checks the dims and the coefficient values. +//! The parser checks the SRID code range and the coefficient count. The +//! planner checks the SRID is defined, the dims and the coefficient values. +use nodedb_crs::UnknownSrid; use nodedb_types::geometry::Srid; use crate::error::{Result, SqlError}; @@ -22,9 +23,11 @@ impl<'a> Parser<'a> { self.expect(&Tok::LParen)?; self.expect_kw("SRID")?; let code = self.expect_int()?; - let srid = Srid::from_code(code) - .map_err(|e| SqlError::DataException { - detail: format!("GEOREF: {e}"), + let srid = u32::try_from(code) + .ok() + .and_then(|c| Srid::new(c).ok()) + .ok_or_else(|| SqlError::DataException { + detail: format!("GEOREF: {}", UnknownSrid::OutOfRange { code }), })? .code(); self.expect(&Tok::Comma)?; @@ -137,15 +140,22 @@ mod tests { } #[test] - fn unsupported_srid_is_data_exception_naming_supported_codes() { - let err = create_georef("GEOREF (SRID 2154, X col, Y row)").unwrap_err(); + fn out_of_range_srid_is_data_exception() { + let err = create_georef("GEOREF (SRID 0, X col, Y row)").unwrap_err(); let SqlError::DataException { detail } = err else { panic!("expected DataException, got {err:?}"); }; - assert!(detail.contains("2154"), "{detail}"); - for code in ["4326", "32647", "32648", "3375", "3376"] { - assert!(detail.contains(code), "{detail}"); - } + assert!(detail.contains("SRID 0"), "{detail}"); + } + + /// The parser checks syntax only: an undefined code in range parses and + /// the planner refuses it. + #[test] + fn undefined_srid_in_range_parses() { + let g = create_georef("GEOREF (SRID 999, X col, Y row)") + .unwrap() + .unwrap(); + assert_eq!(g.srid, 999); } #[test] @@ -218,7 +228,7 @@ mod tests { #[test] fn alter_georef_errors() { - let err = alter("ALTER ARRAY scene SET GEOREF (SRID 27700, X col, Y row)").unwrap_err(); + let err = alter("ALTER ARRAY scene SET GEOREF (SRID 0, X col, Y row)").unwrap_err(); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); for sql in [ "ALTER ARRAY scene DROP GEOREF extra", diff --git a/nodedb-sql/src/parser/array_stmt/parse_impl/mod.rs b/nodedb-sql/src/parser/array_stmt/parse_impl/mod.rs index 7769d845f..b67da94b3 100644 --- a/nodedb-sql/src/parser/array_stmt/parse_impl/mod.rs +++ b/nodedb-sql/src/parser/array_stmt/parse_impl/mod.rs @@ -3,6 +3,7 @@ //! `Parser` struct and recursive-descent parse methods for array statements. mod alter; +mod attr_meta; mod core; mod create; mod delete_stmt; diff --git a/nodedb-sql/src/parser/normalize.rs b/nodedb-sql/src/parser/normalize.rs index 66f0f6087..fd2d2c03a 100644 --- a/nodedb-sql/src/parser/normalize.rs +++ b/nodedb-sql/src/parser/normalize.rs @@ -81,13 +81,14 @@ pub fn normalize_insert_column(name: &sqlparser::ast::ObjectName) -> Result Result { @@ -106,6 +107,7 @@ fn normalize_table_name(name: &sqlparser::ast::ObjectName) -> Result { match parts[0].as_str() { "pg_catalog" => return Ok(parts[1].clone()), "_system" => return Ok(format!("_system.{}", parts[1])), + "nodedb" => return Ok(format!("nodedb.{}", parts[1])), _ => {} } } @@ -120,6 +122,7 @@ fn normalize_table_name(name: &sqlparser::ast::ObjectName) -> Result { /// /// - `pg_catalog.pg_class` → `pg_class`. /// - `_system.audit_log` → `_system.audit_log`. +/// - `nodedb.spatial_ref_sys` → `nodedb.spatial_ref_sys`. /// - Any other qualifier is rejected as schema-qualified. /// - An unqualified token decodes through [`check_identifier`]. /// @@ -139,6 +142,7 @@ pub fn check_relation_token(raw_name: &str) -> Result { match parts[0].as_str() { "pg_catalog" => return Ok(parts[1].clone()), "_system" => return Ok(format!("_system.{}", parts[1])), + "nodedb" => return Ok(format!("nodedb.{}", parts[1])), _ => {} } } @@ -298,7 +302,7 @@ mod tests { } #[test] - fn relation_tokens_accept_the_two_system_qualifiers() { + fn relation_tokens_accept_the_system_qualifiers() { assert_eq!( check_relation_token("_system.audit_log").expect("system relation"), "_system.audit_log" @@ -307,6 +311,10 @@ mod tests { check_relation_token("pg_catalog.pg_class").expect("catalog relation"), "pg_class" ); + assert_eq!( + check_relation_token("nodedb.spatial_ref_sys").expect("nodedb relation"), + "nodedb.spatial_ref_sys" + ); assert_eq!(check_relation_token("MiXeD").expect("bare"), "mixed"); assert_eq!(check_relation_token("\"MiXeD\"").expect("quoted"), "MiXeD"); } diff --git a/nodedb-sql/src/parser/preprocess/temporal.rs b/nodedb-sql/src/parser/preprocess/temporal.rs index 7645da315..ca71ded41 100644 --- a/nodedb-sql/src/parser/preprocess/temporal.rs +++ b/nodedb-sql/src/parser/preprocess/temporal.rs @@ -60,6 +60,24 @@ pub struct TemporalParseError(pub String); /// extracted `TemporalScope`. Returns `Ok(None)` when no temporal clause is /// present so the caller can short-circuit to the existing pipeline. pub fn extract(sql: &str) -> Result, TemporalParseError> { + extract_bounded(sql, ExprBoundary::SqlClause) +} + +/// Where an unquoted `AS OF` expression ends. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ExprBoundary { + /// At the next SQL clause keyword (`WHERE`, `LIMIT`, `ORDER`, ...). + SqlClause, + /// At the next whitespace. The graph DSL and MATCH use it: their clause + /// keywords (`DEPTH`, `LABEL`, `RETURN`, ...) are not SQL keywords. + Token, +} + +/// [`extract`] with the `AS OF` expression ending at `boundary`. +pub fn extract_bounded( + sql: &str, + boundary: ExprBoundary, +) -> Result, TemporalParseError> { let mut scope = TemporalScope::default(); let mut working = sql.to_string(); let mut any = false; @@ -82,7 +100,7 @@ pub fn extract(sql: &str) -> Result, TemporalParseError> { any = true; } // AS OF SYSTEM TIME (array read style, CockroachDB-inspired) - if let Some((rewritten, sys_scope)) = strip_as_of_system_time(&working)? { + if let Some((rewritten, sys_scope)) = strip_as_of_system_time(&working, boundary)? { if scope.system_time.is_temporal() { return Err(TemporalParseError( "multiple system-time AS OF clauses in one statement".into(), @@ -91,7 +109,7 @@ pub fn extract(sql: &str) -> Result, TemporalParseError> { working = rewritten; scope.system_time = sys_scope; any = true; - if strip_as_of_system_time(&working)?.is_some() { + if strip_as_of_system_time(&working, boundary)?.is_some() { return Err(TemporalParseError( "multiple system-time AS OF clauses in one statement".into(), )); @@ -104,7 +122,7 @@ pub fn extract(sql: &str) -> Result, TemporalParseError> { any = true; } // AS OF VALID TIME (array read style) - if let Some((rewritten, ms)) = strip_as_of_valid_time(&working)? { + if let Some((rewritten, ms)) = strip_as_of_valid_time(&working, boundary)? { if !matches!(scope.valid_time, ValidTime::Any) { return Err(TemporalParseError( "multiple valid-time AS OF clauses in one statement".into(), @@ -241,7 +259,7 @@ fn strip_valid_time(sql: &str) -> Result, TemporalPa /// /// Any other expression form is rejected with a descriptive error rather than /// silently defaulting, so callers always get exactly the version they asked for. -fn parse_temporal_expr(token: &str) -> Result { +pub(crate) fn parse_temporal_expr(token: &str) -> Result { let t = token.trim(); // Integer literal @@ -296,13 +314,14 @@ fn parse_temporal_expr(token: &str) -> Result { /// preprocessing in the same pipeline. fn strip_as_of_system_time( sql: &str, + boundary: ExprBoundary, ) -> Result, TemporalParseError> { let keyword = "AS OF SYSTEM TIME"; let Some(start) = keyword_position_outside_literals(sql, keyword) else { return Ok(None); }; let after_kw = start + keyword.len(); - let (scope, end_abs) = parse_as_of_expr(sql, after_kw)?; + let (scope, end_abs) = parse_as_of_expr(sql, after_kw, boundary)?; let mut out = String::with_capacity(sql.len()); out.push_str(sql[..start].trim_end()); out.push(' '); @@ -313,13 +332,16 @@ fn strip_as_of_system_time( /// Match `AS OF VALID TIME ` (case-insensitive) anywhere in `sql` and /// strip it. Same expression forms as `strip_as_of_system_time`. Returns `None` /// if the clause is absent. -fn strip_as_of_valid_time(sql: &str) -> Result, TemporalParseError> { +fn strip_as_of_valid_time( + sql: &str, + boundary: ExprBoundary, +) -> Result, TemporalParseError> { let keyword = "AS OF VALID TIME"; let Some(start) = keyword_position_outside_literals(sql, keyword) else { return Ok(None); }; let after_kw = start + keyword.len(); - let (scope, end_abs) = parse_as_of_expr(sql, after_kw)?; + let (scope, end_abs) = parse_as_of_expr(sql, after_kw, boundary)?; let ms = match scope { SystemTimeScope::AsOf(ms) => ms, SystemTimeScope::AllVersions => { @@ -334,6 +356,11 @@ fn strip_as_of_valid_time(sql: &str) -> Result, TemporalPa "AS OF VALID TIME requires an expression".into(), )); } + SystemTimeScope::Pinned { .. } => { + return Err(TemporalParseError( + "AS OF VALID TIME takes a time, not a pinned system-time ordinal".into(), + )); + } }; let mut out = String::with_capacity(sql.len()); out.push_str(sql[..start].trim_end()); @@ -351,6 +378,7 @@ fn strip_as_of_valid_time(sql: &str) -> Result, TemporalPa fn parse_as_of_expr( sql: &str, offset: usize, + boundary: ExprBoundary, ) -> Result<(SystemTimeScope, usize), TemporalParseError> { let rest = &sql[offset..]; let trimmed = rest.trim_start(); @@ -394,7 +422,12 @@ fn parse_as_of_expr( "OFFSET", ";", ]; - let mut end_rel = trimmed.len(); + let mut end_rel = match boundary { + ExprBoundary::SqlClause => trimmed.len(), + ExprBoundary::Token => trimmed + .find(|c: char| c.is_ascii_whitespace()) + .unwrap_or(trimmed.len()), + }; for stop in &stop_tokens { // Only match at a word boundary (preceded by whitespace or start). let mut search_from = 0; @@ -661,4 +694,37 @@ mod tests { "AS OF VALID TIME NULL must be rejected" ); } + + #[test] + fn token_boundary_ends_the_expression_at_whitespace() { + let ex = extract_bounded( + "GRAPH TRAVERSE IN 'g' FROM 'a' AS OF SYSTEM TIME 1700 DEPTH 2 \ + AS OF VALID TIME '2024-01-15T00:00:00Z' LABEL 'l'", + ExprBoundary::Token, + ) + .unwrap() + .unwrap(); + assert_eq!(ex.temporal.system_time, SystemTimeScope::AsOf(1700)); + assert_eq!(ex.temporal.valid_time, ValidTime::At(1_705_276_800_000)); + assert_eq!(ex.sql, "GRAPH TRAVERSE IN 'g' FROM 'a' DEPTH 2 LABEL 'l'"); + } + + #[test] + fn token_boundary_reads_null_and_now() { + let ex = extract_bounded( + "MATCH (a)-[:l]->(b) AS OF SYSTEM TIME NULL RETURN a", + ExprBoundary::Token, + ) + .unwrap() + .unwrap(); + assert_eq!(ex.temporal.system_time, SystemTimeScope::AllVersions); + assert_eq!(ex.sql, "MATCH (a)-[:l]->(b) RETURN a"); + let ex = extract_bounded( + "MATCH (a)-[:l]->(b) AS OF SYSTEM TIME NOW() RETURN a", + ExprBoundary::Token, + ) + .unwrap() + .unwrap(); + assert!(matches!(ex.temporal.system_time, SystemTimeScope::AsOf(_))); + } } diff --git a/nodedb-sql/src/planner/array_ddl.rs b/nodedb-sql/src/planner/array_ddl.rs index fff2d5cfd..5740e4462 100644 --- a/nodedb-sql/src/planner/array_ddl.rs +++ b/nodedb-sql/src/planner/array_ddl.rs @@ -16,9 +16,11 @@ use crate::error::{Result, SqlError}; use crate::parser::array_stmt::{AlterArrayAction, AlterArrayAst, CreateArrayAst, DropArrayAst}; use crate::planner::array_georef::check_georef; use crate::types::SqlPlan; -use crate::types_array::{ArrayDimType, ArrayDomainBound, ArrayGeorefAlter}; +use crate::types_array::{ + ArrayAttrMetaAlter, ArrayAttrMetaChange, ArrayDimType, ArrayDomainBound, ArrayGeorefAlter, +}; -pub fn plan_create_array(ast: &CreateArrayAst) -> Result { +pub fn plan_create_array(ast: &CreateArrayAst, catalog: &dyn SqlCatalog) -> Result { if ast.name.is_empty() { return Err(SqlError::Parse { detail: "CREATE ARRAY: array name must not be empty".into(), @@ -106,7 +108,7 @@ pub fn plan_create_array(ast: &CreateArrayAst) -> Result { }); } if let Some(georef) = &ast.georef { - check_georef(&ast.name, georef, &ast.dims)?; + check_georef(&ast.name, georef, &ast.dims, &catalog.crs_context())?; } Ok(SqlPlan::CreateArray(CreateArrayPlan { name: ast.name.clone(), @@ -131,9 +133,53 @@ pub fn plan_alter_array(ast: &AlterArrayAst, catalog: &dyn SqlCatalog) -> Result match &ast.action { AlterArrayAction::SetOptions(set) => plan_alter_options(&ast.name, set), AlterArrayAction::Georef(change) => plan_alter_georef(&ast.name, change, catalog), + AlterArrayAction::AttrMeta(change) => plan_alter_attr_meta(&ast.name, change, catalog), } } +/// `ALTER ARRAY ALTER ATTR SET (...)` or `DROP ...`, checked +/// against the array's attrs. The engine checks each value against the +/// attr type when it applies the change. +fn plan_alter_attr_meta( + name: &str, + change: &ArrayAttrMetaAlter, + catalog: &dyn SqlCatalog, +) -> Result { + let view = catalog + .lookup_array(name) + .ok_or_else(|| SqlError::UnknownTable { + name: name.to_string(), + })?; + let attr = view + .attrs + .iter() + .find(|a| a.name == change.attr) + .ok_or_else(|| SqlError::UnknownColumn { + table: name.to_string(), + column: change.attr.clone(), + })?; + if let ArrayAttrMetaChange::Drop(keys) = &change.change + && let Some(unset) = keys.iter().find(|k| !k.is_set(&attr.meta)) + { + return Err(SqlError::ObjectNotInPrerequisiteState { + object: format!("attr '{}' of array '{name}'", change.attr), + detail: format!( + "ALTER ARRAY {name} ALTER ATTR {} DROP {}: the attr has no {}", + change.attr, + unset.sql_name(), + unset.sql_name() + ), + }); + } + Ok(SqlPlan::AlterArray(AlterArrayPlan { + name: name.to_string(), + audit_retain_ms: None, + minimum_audit_retain_ms: None, + georef: None, + attr_meta: Some(change.clone()), + })) +} + /// `ALTER ARRAY SET GEOREF (...)` or `DROP GEOREF`, checked against /// the array's current dims and georef. fn plan_alter_georef( @@ -147,7 +193,9 @@ fn plan_alter_georef( name: name.to_string(), })?; match change { - ArrayGeorefAlter::Set(georef) => check_georef(name, georef, &view.dims)?, + ArrayGeorefAlter::Set(georef) => { + check_georef(name, georef, &view.dims, &catalog.crs_context())? + } ArrayGeorefAlter::Drop => { if view.georef.is_none() { return Err(SqlError::ObjectNotInPrerequisiteState { @@ -162,6 +210,7 @@ fn plan_alter_georef( audit_retain_ms: None, minimum_audit_retain_ms: None, georef: Some(change.clone()), + attr_meta: None, })) } @@ -208,6 +257,7 @@ fn plan_alter_options(name: &str, set: &[(String, Option)]) -> Result <0..1>`. +//! - `'histogram'` takes `bins => <1..65536>, lo => , hi => `, with +//! `lo < hi`. +//! - Every reducer takes `physical => true | false`. +//! +//! A parameter given to a reducer that takes none is refused, so a typo +//! never changes the answer silently. + +use sqlparser::ast; + +use super::helpers::{expect_bool, expect_f64, expect_u32}; +use crate::error::{Result, SqlError}; +use crate::types_array::{ArrayReducerAst, ArrayReducerName}; + +/// The named arguments `ARRAY_AGG` accepts. +pub(super) const AGG_NAMED_ARGS: &[&str] = &["physical", "p", "bins", "lo", "hi"]; + +/// The named arguments `ARRAY_SLICE` accepts. +pub(super) const SLICE_NAMED_ARGS: &[&str] = &["physical"]; + +/// The most bins a histogram takes. Mirrors +/// `nodedb_types::array_agg::MAX_HISTOGRAM_BINS`. +const MAX_HISTOGRAM_BINS: u32 = 65_536; + +/// The reducer and read mode of one `ARRAY_AGG` call. +#[derive(Debug, Clone, Copy, PartialEq)] +pub(super) struct AggOptions { + pub reducer: ArrayReducerAst, + pub physical: bool, +} + +/// The value of named argument `name`, if given. +fn named<'a>(args: &'a [(String, ast::Expr)], name: &str) -> Option<&'a ast::Expr> { + args.iter().find(|(n, _)| n == name).map(|(_, e)| e) +} + +/// `physical => `, false when absent. +pub(super) fn parse_physical(args: &[(String, ast::Expr)], fn_name: &str) -> Result { + named(args, "physical") + .map(|e| expect_bool(e, &format!("{fn_name} physical"))) + .transpose() + .map(|v| v.unwrap_or(false)) +} + +/// The reducer `reducer_str` names, with its named parameters. +pub(super) fn parse_agg_options( + reducer_str: &str, + args: &[(String, ast::Expr)], +) -> Result { + let name = ArrayReducerName::parse(reducer_str).ok_or_else(|| SqlError::Unsupported { + detail: format!( + "ARRAY_AGG: unknown reducer '{reducer_str}' (want {})", + ArrayReducerName::ACCEPTED + ), + })?; + let takes: &[&str] = match name { + ArrayReducerName::Percentile => &["p"], + ArrayReducerName::Histogram => &["bins", "lo", "hi"], + ArrayReducerName::Sum + | ArrayReducerName::Count + | ArrayReducerName::Min + | ArrayReducerName::Max + | ArrayReducerName::Mean + | ArrayReducerName::Median + | ArrayReducerName::StdDevPop + | ArrayReducerName::StdDevSamp + | ArrayReducerName::VarPop + | ArrayReducerName::VarSamp + | ArrayReducerName::Mode => &[], + }; + for param in ["p", "bins", "lo", "hi"] { + let given = named(args, param).is_some(); + let wanted = takes.contains(¶m); + if given && !wanted { + return Err(SqlError::Unsupported { + detail: format!("ARRAY_AGG: reducer '{reducer_str}' takes no '{param}' argument"), + }); + } + if wanted && !given { + return Err(SqlError::Unsupported { + detail: format!( + "ARRAY_AGG: reducer '{reducer_str}' needs {}", + takes + .iter() + .map(|t| format!("{t} => ")) + .collect::>() + .join(", ") + ), + }); + } + } + let number = |param: &str| -> Result { + let expr = named(args, param).ok_or_else(|| SqlError::Unsupported { + detail: format!("ARRAY_AGG: missing '{param}' argument"), + })?; + expect_f64(expr, &format!("ARRAY_AGG {param}")) + }; + let reducer = match name { + ArrayReducerName::Sum => ArrayReducerAst::Sum, + ArrayReducerName::Count => ArrayReducerAst::Count, + ArrayReducerName::Min => ArrayReducerAst::Min, + ArrayReducerName::Max => ArrayReducerAst::Max, + ArrayReducerName::Mean => ArrayReducerAst::Mean, + ArrayReducerName::Median => ArrayReducerAst::Median, + ArrayReducerName::StdDevPop => ArrayReducerAst::StdDevPop, + ArrayReducerName::StdDevSamp => ArrayReducerAst::StdDevSamp, + ArrayReducerName::VarPop => ArrayReducerAst::VarPop, + ArrayReducerName::VarSamp => ArrayReducerAst::VarSamp, + ArrayReducerName::Mode => ArrayReducerAst::Mode, + ArrayReducerName::Percentile => { + let p = number("p")?; + if !(0.0..=1.0).contains(&p) { + return Err(SqlError::DataException { + detail: format!("ARRAY_AGG: percentile p {p} must be between 0 and 1"), + }); + } + ArrayReducerAst::Percentile(p) + } + ArrayReducerName::Histogram => { + let bins_expr = named(args, "bins").ok_or_else(|| SqlError::Unsupported { + detail: "ARRAY_AGG: missing 'bins' argument".into(), + })?; + let bins = expect_u32(bins_expr, "ARRAY_AGG bins")?; + if bins == 0 || bins > MAX_HISTOGRAM_BINS { + return Err(SqlError::DataException { + detail: format!( + "ARRAY_AGG: histogram bins {bins} must be between 1 and \ + {MAX_HISTOGRAM_BINS}" + ), + }); + } + let (lo, hi) = (number("lo")?, number("hi")?); + if !lo.is_finite() || !hi.is_finite() || lo >= hi { + return Err(SqlError::DataException { + detail: format!( + "ARRAY_AGG: histogram range [{lo}, {hi}] must be finite with lo < hi" + ), + }); + } + ArrayReducerAst::Histogram { bins, lo, hi } + } + }; + Ok(AggOptions { + reducer, + physical: parse_physical(args, "ARRAY_AGG")?, + }) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn num(v: &str) -> ast::Expr { + ast::Expr::Value(ast::Value::Number(v.into(), false).into()) + } + + fn args(pairs: &[(&str, ast::Expr)]) -> Vec<(String, ast::Expr)> { + pairs + .iter() + .map(|(n, e)| ((*n).to_string(), e.clone())) + .collect() + } + + #[test] + fn reducer_names_parse_with_their_parameters() { + let ok = |s: &str, a: &[(&str, ast::Expr)]| parse_agg_options(s, &args(a)).expect(s); + assert_eq!(ok("median", &[]).reducer, ArrayReducerAst::Median); + assert_eq!(ok("stddev", &[]).reducer, ArrayReducerAst::StdDevSamp); + assert_eq!(ok("variance", &[]).reducer, ArrayReducerAst::VarSamp); + assert_eq!(ok("VAR_POP", &[]).reducer, ArrayReducerAst::VarPop); + assert_eq!( + ok("percentile", &[("p", num("0.9"))]).reducer, + ArrayReducerAst::Percentile(0.9) + ); + let neg = ast::Expr::UnaryOp { + op: ast::UnaryOperator::Minus, + expr: Box::new(num("1")), + }; + assert_eq!( + ok( + "histogram", + &[("bins", num("4")), ("lo", neg), ("hi", num("1"))] + ) + .reducer, + ArrayReducerAst::Histogram { + bins: 4, + lo: -1.0, + hi: 1.0 + } + ); + let physical = ast::Expr::Value(ast::Value::Boolean(true).into()); + assert!(ok("sum", &[("physical", physical)]).physical); + } + + #[test] + fn wrong_or_missing_parameters_are_refused() { + let err = |s: &str, a: &[(&str, ast::Expr)]| parse_agg_options(s, &args(a)).is_err(); + assert!(err("percentile", &[])); + assert!(err("percentile", &[("p", num("1.5"))])); + assert!(err("median", &[("p", num("0.5"))])); + assert!(err("histogram", &[("bins", num("4")), ("lo", num("0"))])); + assert!(err( + "histogram", + &[("bins", num("0")), ("lo", num("0")), ("hi", num("1"))] + )); + assert!(err( + "histogram", + &[("bins", num("2")), ("lo", num("1")), ("hi", num("1"))] + )); + assert!(err("geomean", &[])); + assert!(err("sum", &[("physical", num("1"))])); + } +} diff --git a/nodedb-sql/src/planner/array_fn/helpers.rs b/nodedb-sql/src/planner/array_fn/helpers.rs index d4a2a9874..7ff99d523 100644 --- a/nodedb-sql/src/planner/array_fn/helpers.rs +++ b/nodedb-sql/src/planner/array_fn/helpers.rs @@ -14,13 +14,131 @@ use crate::parser::object_literal::parse_object_literal_complete; use crate::types::SqlCatalog; use crate::types_array::{ArrayCoordLiteral, ArraySliceAst, NamedDimRange}; -pub(super) fn collect_args(args: &[ast::FunctionArg]) -> Vec { - args.iter() - .filter_map(|a| match a { - ast::FunctionArg::Unnamed(ast::FunctionArgExpr::Expr(e)) => Some(e.clone()), - _ => None, - }) - .collect() +/// The positional arguments of a call to `fn_name`, which takes no named +/// argument. A named argument, or a wildcard, is refused. +pub(super) fn collect_args(args: &[ast::FunctionArg], fn_name: &str) -> Result> { + let (positional, named) = split_args(args, fn_name)?; + if let Some((name, _)) = named.first() { + return Err(SqlError::Unsupported { + detail: format!("{fn_name}: takes no named argument, got '{name}'"), + }); + } + Ok(positional) +} + +/// `name => value` arguments in call order, names lower-cased. +pub(super) type NamedArgs = Vec<(String, ast::Expr)>; + +/// The positional and the `name => value` arguments of a call to +/// `fn_name`, each in call order. Names are lower-cased. A wildcard +/// argument, a name that is not an identifier, or `=` in place of `=>` is +/// refused. +pub(super) fn split_args( + args: &[ast::FunctionArg], + fn_name: &str, +) -> Result<(Vec, NamedArgs)> { + let mut positional = Vec::new(); + let mut named: NamedArgs = Vec::new(); + for arg in args { + let (name, value, operator) = match arg { + ast::FunctionArg::Unnamed(ast::FunctionArgExpr::Expr(e)) => { + positional.push(e.clone()); + continue; + } + ast::FunctionArg::Unnamed(other) => { + return Err(SqlError::Unsupported { + detail: format!("{fn_name}: argument {other} is not a value"), + }); + } + ast::FunctionArg::Named { + name, + arg, + operator, + } => (name.value.to_ascii_lowercase(), arg, operator), + ast::FunctionArg::ExprNamed { + name: ast::Expr::Identifier(ident), + arg, + operator, + } => (ident.value.to_ascii_lowercase(), arg, operator), + ast::FunctionArg::ExprNamed { name, .. } => { + return Err(SqlError::Unsupported { + detail: format!("{fn_name}: argument name {name} is not an identifier"), + }); + } + }; + if *operator != ast::FunctionArgOperator::RightArrow { + return Err(SqlError::Unsupported { + detail: format!("{fn_name}: use '=>' not '{operator}' for named argument '{name}'"), + }); + } + let ast::FunctionArgExpr::Expr(value) = value else { + return Err(SqlError::Unsupported { + detail: format!("{fn_name}: named argument '{name}' expects a value"), + }); + }; + if named.iter().any(|(n, _)| *n == name) { + return Err(SqlError::Unsupported { + detail: format!("{fn_name}: named argument '{name}' is given twice"), + }); + } + named.push((name, value.clone())); + } + Ok((positional, named)) +} + +/// The named arguments of a call to `fn_name`, each name checked against +/// the closed set `allowed`. An unknown name is refused, naming the set. +pub(super) fn collect_named_args( + named: NamedArgs, + fn_name: &str, + allowed: &[&str], +) -> Result { + if let Some((name, _)) = named.iter().find(|(n, _)| !allowed.contains(&n.as_str())) { + let detail = if allowed.is_empty() { + format!("{fn_name}: takes no named argument, got '{name}'") + } else { + format!( + "{fn_name}: unknown named argument '{name}'; valid: {}", + allowed.join(", ") + ) + }; + return Err(SqlError::Unsupported { detail }); + } + Ok(named) +} + +/// A boolean literal. +pub(super) fn expect_bool(expr: &ast::Expr, ctx: &str) -> Result { + match expr { + ast::Expr::Value(v) => match &v.value { + ast::Value::Boolean(b) => Ok(*b), + other => Err(SqlError::TypeMismatch { + detail: format!("{ctx}: expected true or false, got {other}"), + }), + }, + _ => Err(SqlError::TypeMismatch { + detail: format!("{ctx}: expected true or false, got {expr}"), + }), + } +} + +/// A numeric literal, with an optional leading minus. +pub(super) fn expect_f64(expr: &ast::Expr, ctx: &str) -> Result { + let mismatch = || SqlError::TypeMismatch { + detail: format!("{ctx}: expected a number, got {expr}"), + }; + match expr { + ast::Expr::Value(v) => match &v.value { + ast::Value::Number(n, _) => n.parse::().map_err(|_| mismatch()), + _ => Err(mismatch()), + }, + ast::Expr::UnaryOp { + op: ast::UnaryOperator::Minus, + expr: inner, + } => expect_f64(inner, ctx).map(|v| -v), + ast::Expr::Nested(inner) => expect_f64(inner, ctx), + _ => Err(mismatch()), + } } pub(super) fn require_array_name( @@ -99,7 +217,7 @@ pub(super) fn expect_string_array(expr: &ast::Expr, ctx: &str) -> Result { match &f.args { - ast::FunctionArguments::List(list) => collect_args(&list.args), + ast::FunctionArguments::List(list) => collect_args(&list.args, ctx)?, _ => Vec::new(), } } diff --git a/nodedb-sql/src/planner/array_fn/maint_fn.rs b/nodedb-sql/src/planner/array_fn/maint_fn.rs index 195292ac5..495f9a087 100644 --- a/nodedb-sql/src/planner/array_fn/maint_fn.rs +++ b/nodedb-sql/src/planner/array_fn/maint_fn.rs @@ -28,21 +28,20 @@ pub fn try_plan_array_maint_fn( _ => return Ok(None), }; let fn_name = crate::parser::normalize::normalize_object_name_checked(&func.name)?; + let sql_name = match fn_name.as_str() { + "array_flush" => "ARRAY_FLUSH", + "array_compact" => "ARRAY_COMPACT", + _ => return Ok(None), + }; let arg_exprs = match &func.args { - ast::FunctionArguments::List(list) => collect_args(&list.args), + ast::FunctionArguments::List(list) => collect_args(&list.args, sql_name)?, _ => Vec::new(), }; - match fn_name.as_str() { - "array_flush" => { - let name = require_array_name(&arg_exprs, 0, "ARRAY_FLUSH", catalog)?; - Ok(Some(SqlPlan::ArrayFlush { name })) - } - "array_compact" => { - let name = require_array_name(&arg_exprs, 0, "ARRAY_COMPACT", catalog)?; - Ok(Some(SqlPlan::ArrayCompact { name })) - } - _ => Ok(None), - } + let name = require_array_name(&arg_exprs, 0, sql_name, catalog)?; + Ok(Some(match sql_name { + "ARRAY_FLUSH" => SqlPlan::ArrayFlush { name }, + _ => SqlPlan::ArrayCompact { name }, + })) } #[cfg(test)] @@ -101,11 +100,13 @@ mod tests { name: "variant".into(), dtype: ArrayAttrType::String, nullable: true, + meta: Default::default(), }, ArrayAttrAst { name: "qual".into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }, ], tile_extents: vec![1, 1_000_000], diff --git a/nodedb-sql/src/planner/array_fn/mod.rs b/nodedb-sql/src/planner/array_fn/mod.rs index d8cb5b395..29037b3d0 100644 --- a/nodedb-sql/src/planner/array_fn/mod.rs +++ b/nodedb-sql/src/planner/array_fn/mod.rs @@ -14,6 +14,7 @@ //! [`try_plan_array_maint_fn`] intercepts these from the constant- //! query path. +mod agg_args; mod helpers; mod maint_fn; mod pushdown; diff --git a/nodedb-sql/src/planner/array_fn/pushdown.rs b/nodedb-sql/src/planner/array_fn/pushdown.rs index b4432f1cd..42fcbaad5 100644 --- a/nodedb-sql/src/planner/array_fn/pushdown.rs +++ b/nodedb-sql/src/planner/array_fn/pushdown.rs @@ -340,6 +340,7 @@ mod tests { name: "nir".into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }], tile_extents: vec![2, 2], georef: None, @@ -354,6 +355,7 @@ mod tests { limit, zone: None, temporal: TemporalScope::default(), + physical: false, } } diff --git a/nodedb-sql/src/planner/array_fn/table_fn.rs b/nodedb-sql/src/planner/array_fn/table_fn.rs index 940179be2..eea7dd975 100644 --- a/nodedb-sql/src/planner/array_fn/table_fn.rs +++ b/nodedb-sql/src/planner/array_fn/table_fn.rs @@ -6,16 +6,17 @@ use crate::types::{ArrayAggPlan, ArrayElementwisePlan, ArraySlicePlan}; use sqlparser::ast; +use super::agg_args::{AGG_NAMED_ARGS, SLICE_NAMED_ARGS, parse_agg_options, parse_physical}; use super::helpers::{ - collect_args, expect_string_array, expect_string_literal, expect_u32, is_null_literal, - parse_slice_arg, require_array_name, + collect_named_args, expect_string_array, expect_string_literal, expect_u32, is_null_literal, + parse_slice_arg, require_array_name, split_args, }; use super::zone::parse_optional_zone; use crate::error::{Result, SqlError}; use crate::resolver::array_tvf::check_agg_reducer; use crate::temporal::TemporalScope; use crate::types::{SqlCatalog, SqlPlan}; -use crate::types_array::{ArrayBinaryOpAst, ArrayReducerAst, ArraySliceAst}; +use crate::types_array::{ArrayBinaryOpAst, ArraySliceAst}; /// One planned array table-valued function call. /// @@ -106,26 +107,34 @@ pub fn try_plan_array_table_fn( _ => return Ok(None), }; let fn_name = crate::parser::normalize::normalize_object_name_checked(name)?; - let arg_exprs = collect_args(&args.args); + let (sql_name, allowed): (&str, &[&str]) = match fn_name.as_str() { + "array_slice" => ("ARRAY_SLICE", SLICE_NAMED_ARGS), + "array_project" => ("ARRAY_PROJECT", &[]), + "array_agg" => ("ARRAY_AGG", AGG_NAMED_ARGS), + "array_elementwise" => ("ARRAY_ELEMENTWISE", &[]), + _ => return Ok(None), + }; + let (arg_exprs, named) = split_args(&args.args, sql_name)?; + let named = collect_named_args(named, sql_name, allowed)?; match fn_name.as_str() { "array_slice" => Ok(Some(ArrayTableFn::Slice(plan_slice( - &arg_exprs, catalog, temporal, + &arg_exprs, &named, catalog, temporal, )?))), "array_project" => Ok(Some(ArrayTableFn::Project(plan_project( &arg_exprs, catalog, temporal, )?))), "array_agg" => Ok(Some(ArrayTableFn::Agg(plan_agg( - &arg_exprs, catalog, temporal, + &arg_exprs, &named, catalog, temporal, )?))), - "array_elementwise" => Ok(Some(ArrayTableFn::Elementwise(plan_elementwise( + _ => Ok(Some(ArrayTableFn::Elementwise(plan_elementwise( &arg_exprs, catalog, temporal, )?))), - _ => Ok(None), } } fn plan_slice( args: &[ast::Expr], + named: &[(String, ast::Expr)], catalog: &dyn SqlCatalog, temporal: TemporalScope, ) -> Result { @@ -173,7 +182,7 @@ fn plan_slice( Some(arg) if !is_null_literal(arg) => expect_u32(arg, "ARRAY_SLICE limit")?, _ => 0, }; - let zone = parse_optional_zone("ARRAY_SLICE", args, 4, &name, &view)?; + let zone = parse_optional_zone("ARRAY_SLICE", args, 4, &name, &view, &catalog.crs_context())?; Ok(ArraySlicePlan { name, @@ -182,6 +191,7 @@ fn plan_slice( limit, zone, temporal, + physical: parse_physical(named, "ARRAY_SLICE")?, }) } @@ -224,11 +234,13 @@ fn plan_project( limit: 0, zone: None, temporal, + physical: false, }) } fn plan_agg( args: &[ast::Expr], + named: &[(String, ast::Expr)], catalog: &dyn SqlCatalog, temporal: TemporalScope, ) -> Result { @@ -264,9 +276,8 @@ fn plan_agg( })?; let reducer_str = expect_string_literal(&args[2], "ARRAY_AGG reducer")?; - let reducer = ArrayReducerAst::parse(&reducer_str).ok_or_else(|| SqlError::Unsupported { - detail: format!("ARRAY_AGG: unknown reducer '{reducer_str}' (want sum/count/min/max/mean)"), - })?; + let options = parse_agg_options(&reducer_str, named)?; + let reducer = options.reducer; check_agg_reducer(reducer, &attr, attr_type)?; let group_by_dim = match args.get(3) { @@ -287,7 +298,7 @@ fn plan_agg( _ => ArraySliceAst::default(), }; - let zone = parse_optional_zone("ARRAY_AGG", args, 5, &name, &view)?; + let zone = parse_optional_zone("ARRAY_AGG", args, 5, &name, &view, &catalog.crs_context())?; Ok(ArrayAggPlan { name, @@ -297,6 +308,7 @@ fn plan_agg( slice, zone, temporal, + physical: options.physical, }) } @@ -419,11 +431,13 @@ mod tests { name: "variant".into(), dtype: ArrayAttrType::String, nullable: true, + meta: Default::default(), }, ArrayAttrAst { name: "qual".into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }, ], tile_extents: vec![1, 1_000_000], @@ -567,6 +581,37 @@ mod tests { } } + #[test] + fn agg_named_args_parse_and_unknown_ones_are_refused() { + let p = plan_one( + "SELECT * FROM ARRAY_AGG('g', 'qual', 'percentile', 'chrom', p => 0.9, physical => true)", + ) + .unwrap(); + match relation_body(p) { + SqlPlan::ArrayAgg(ArrayAggPlan { + reducer, physical, .. + }) => { + assert_eq!(reducer, ArrayReducerAst::Percentile(0.9)); + assert!(physical); + } + other => panic!("expected ArrayAgg, got {other:?}"), + } + for sql in [ + "SELECT * FROM ARRAY_AGG('g', 'qual', 'sum', colour => 1)", + "SELECT * FROM ARRAY_AGG('g', 'qual', 'sum', p => 0.5)", + "SELECT * FROM ARRAY_SLICE('g', '{chrom: [1, 1]}', p => 0.5)", + "SELECT * FROM ARRAY_PROJECT('g', ARRAY['qual'], physical => true)", + ] { + assert!(plan_one(sql).is_err(), "{sql}"); + } + let p = plan_one("SELECT * FROM ARRAY_SLICE('g', '{chrom: [1, 1]}', physical => true)") + .unwrap(); + match relation_body(p) { + SqlPlan::ArraySlice(ArraySlicePlan { physical, .. }) => assert!(physical), + other => panic!("expected ArraySlice, got {other:?}"), + } + } + #[test] fn agg_grouped() { let p = plan_one("SELECT * FROM ARRAY_AGG('g', 'qual', 'mean', 'chrom')").unwrap(); diff --git a/nodedb-sql/src/planner/array_fn/zone.rs b/nodedb-sql/src/planner/array_fn/zone.rs index 54157b174..4ec3f3745 100644 --- a/nodedb-sql/src/planner/array_fn/zone.rs +++ b/nodedb-sql/src/planner/array_fn/zone.rs @@ -12,7 +12,8 @@ use sqlparser::ast; -use nodedb_types::geometry::{Geometry, Srid}; +use nodedb_crs::CrsContext; +use nodedb_types::geometry::Geometry; use super::helpers::{expect_string_array, expect_string_literal, is_null_literal}; use crate::catalog::ArrayCatalogView; @@ -27,10 +28,11 @@ pub(super) fn parse_optional_zone( at: usize, name: &str, view: &ArrayCatalogView, + crs: &CrsContext<'_>, ) -> Result> { match (args.get(at), args.get(at + 1)) { (Some(wkt), Some(dims)) if !is_null_literal(wkt) => { - parse_zone_args(func, wkt, dims, name, view).map(Some) + parse_zone_args(func, wkt, dims, name, view, crs).map(Some) } (Some(_), Some(dims)) if !is_null_literal(dims) => Err(SqlError::Unsupported { detail: format!("{func}: zone_dims needs a zone_wkt; pass both, or neither"), @@ -46,22 +48,26 @@ fn parse_zone_args( dims_expr: &ast::Expr, name: &str, view: &ArrayCatalogView, + crs: &CrsContext<'_>, ) -> Result { let wkt = expect_string_literal(wkt_expr, &format!("{func} zone"))?; - let mut ewkt = - nodedb_spatial::geometry_from_ewkt(&wkt).ok_or_else(|| SqlError::InvalidFunction { - detail: format!("{func}: zone is not valid WKT or EWKT: {wkt}"), - })?; + let ewkt = nodedb_spatial::geometry_from_ewkt(&wkt).map_err(|e| SqlError::InvalidFunction { + detail: format!("{func}: zone is not valid WKT or EWKT: {e}"), + })?; + let ewkt_srid = ewkt.srid; + // A zone is a 2D region: Z and M do not take part in membership. + let (_, mut zone, _) = ewkt.geometry.into_parts(); // Membership is an even-odd test, so ring direction never changes it. // Orienting first accepts a zone drawn clockwise. - nodedb_spatial::orient_rings(&mut ewkt.geometry); - let issues = nodedb_spatial::validate::validate_geometry(&ewkt.geometry); + nodedb_spatial::orient_rings(&mut zone); + let issues = nodedb_spatial::validate::validate_geometry(&zone); if !issues.is_empty() { + let reasons: Vec = issues.iter().map(ToString::to_string).collect(); return Err(SqlError::InvalidFunction { - detail: format!("{func}: invalid zone: {}", issues.join("; ")), + detail: format!("{func}: invalid zone: {}", reasons.join("; ")), }); } - let polygons = match ewkt.geometry { + let polygons = match zone { Geometry::Polygon { coordinates } => vec![coordinates], Geometry::MultiPolygon { coordinates } => coordinates, other => { @@ -81,7 +87,7 @@ fn parse_zone_args( &format!("{func} zone dims"), )?) }; - let (x_dim, y_dim, srid) = match ewkt.srid { + let (x_dim, y_dim, srid) = match ewkt_srid { None => { let dims = dims.ok_or_else(|| SqlError::Unsupported { detail: format!( @@ -93,9 +99,11 @@ fn parse_zone_args( (x_dim, y_dim, None) } Some(code) => { - let srid = Srid::from_code(code).map_err(|e| SqlError::DataException { - detail: format!("{func}: zone SRID: {e}"), - })?; + let srid = crs + .resolve_code(code) + .map_err(|e| SqlError::DataException { + detail: format!("{func}: zone SRID: {e}"), + })?; let (x_dim, y_dim) = georef_axes(func, name, view, dims)?; (x_dim, y_dim, Some(srid.code())) } @@ -227,6 +235,7 @@ mod tests { name: "b1".into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }], tile_extents: vec![64, 64], georef, @@ -343,10 +352,10 @@ mod tests { } #[test] - fn an_unsupported_zone_srid_is_a_data_exception() { + fn an_undefined_zone_srid_is_a_data_exception() { let err = plan( "SELECT * FROM ARRAY_AGG('img', 'b1', 'sum', NULL, NULL, \ - 'SRID=2154;POLYGON((0 0, 1 0, 1 1, 0 0))', NULL)", + 'SRID=999;POLYGON((0 0, 1 0, 1 1, 0 0))', NULL)", ) .expect_err("refused"); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); diff --git a/nodedb-sql/src/planner/array_georef.rs b/nodedb-sql/src/planner/array_georef.rs index a7f3429a9..ed8e9dc09 100644 --- a/nodedb-sql/src/planner/array_georef.rs +++ b/nodedb-sql/src/planner/array_georef.rs @@ -5,21 +5,28 @@ //! The same rules run again in the engine schema builder. This copy //! reports each refusal with its own SQLSTATE class. //! -//! - SRID outside the supported set: `22000`. +//! - SRID no CRS defines: `22000`. //! - X or Y names no dim: `42703`. //! - X equals Y, wrong dim type, or bad coefficients: `22000`. -use nodedb_types::geometry::Srid; +use nodedb_crs::CrsContext; use crate::error::{Result, SqlError}; use crate::types_array::{ArrayDimAst, ArrayDimType, ArrayGeorefAst}; -/// Check `georef` against the dims of array `array`. -pub fn check_georef(array: &str, georef: &ArrayGeorefAst, dims: &[ArrayDimAst]) -> Result<()> { +/// Check `georef` against the dims of array `array`. The SRID must resolve +/// in `crs`. +pub fn check_georef( + array: &str, + georef: &ArrayGeorefAst, + dims: &[ArrayDimAst], + crs: &CrsContext<'_>, +) -> Result<()> { let data = |detail: String| SqlError::DataException { detail: format!("array '{array}' GEOREF: {detail}"), }; - Srid::try_from(georef.srid).map_err(|e| data(e.to_string()))?; + crs.resolve_u32(georef.srid) + .map_err(|e| data(e.to_string()))?; let dim = |name: &str| { dims.iter() .find(|d| d.name == name) @@ -84,6 +91,10 @@ fn dim_type_name(dtype: ArrayDimType) -> &'static str { #[cfg(test)] mod tests { use super::*; + + fn crs() -> CrsContext<'static> { + CrsContext::builtin_only() + } use crate::types_array::ArrayDomainBound; fn dim(name: &str, dtype: ArrayDimType) -> ArrayDimAst { @@ -130,33 +141,38 @@ mod tests { #[test] fn accepts_pixel_and_world() { - assert!(check_georef("a", &georef(Some(GT)), &ints()).is_ok()); + assert!(check_georef("a", &georef(Some(GT)), &ints(), &crs()).is_ok()); let world = vec![ dim("row", ArrayDimType::Float64), dim("col", ArrayDimType::Int64), ]; - assert!(check_georef("a", &georef(None), &world).is_ok()); + assert!(check_georef("a", &georef(None), &world, &crs()).is_ok()); } #[test] - fn unsupported_srid_is_22000() { + fn undefined_srid_is_22000() { let mut g = georef(None); - g.srid = 2154; - let err = check_georef("a", &g, &ints()).unwrap_err(); + g.srid = 999; + let err = check_georef("a", &g, &ints(), &crs()).unwrap_err(); let SqlError::DataException { detail } = err else { panic!("expected DataException, got {err:?}"); }; - assert!( - detail.contains("4326, 32647, 32648, 3375, 3376"), - "{detail}" - ); + assert!(detail.contains("SRID 999 is not defined"), "{detail}"); + } + + /// Any EPSG projected CRS is accepted, such as UTM 50N for Sabah. + #[test] + fn epsg_projected_srid_is_accepted() { + let mut g = georef(Some(GT)); + g.srid = 32650; + assert!(check_georef("a", &g, &ints(), &crs()).is_ok()); } #[test] fn unknown_dim_is_42703() { let mut g = georef(None); g.y_dim = "lat".into(); - let err = check_georef("a", &g, &ints()).unwrap_err(); + let err = check_georef("a", &g, &ints(), &crs()).unwrap_err(); assert_eq!( err, SqlError::UnknownColumn { @@ -170,7 +186,7 @@ mod tests { fn same_dim_is_22000() { let mut g = georef(None); g.y_dim = "col".into(); - let err = check_georef("a", &g, &ints()).unwrap_err(); + let err = check_georef("a", &g, &ints(), &crs()).unwrap_err(); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); } @@ -180,19 +196,19 @@ mod tests { dim("row", ArrayDimType::String), dim("col", ArrayDimType::Int64), ]; - let err = check_georef("a", &georef(None), &strings).unwrap_err(); + let err = check_georef("a", &georef(None), &strings, &crs()).unwrap_err(); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); let floats = vec![ dim("row", ArrayDimType::Float64), dim("col", ArrayDimType::Float64), ]; - let err = check_georef("a", &georef(Some(GT)), &floats).unwrap_err(); + let err = check_georef("a", &georef(Some(GT)), &floats, &crs()).unwrap_err(); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); let times = vec![ dim("row", ArrayDimType::TimestampMs), dim("col", ArrayDimType::Int64), ]; - let err = check_georef("a", &georef(None), ×).unwrap_err(); + let err = check_georef("a", &georef(None), ×, &crs()).unwrap_err(); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); } @@ -205,7 +221,7 @@ mod tests { [0.0, 1.0, 2.0, 0.0, 2.0, 4.0], [0.0, 1e300, 0.0, 0.0, 0.0, 1e300], ] { - let err = check_georef("a", &georef(Some(gt)), &ints()).unwrap_err(); + let err = check_georef("a", &georef(Some(gt)), &ints(), &crs()).unwrap_err(); assert!(matches!(err, SqlError::DataException { .. }), "{err:?}"); } } diff --git a/nodedb-sql/src/planner/bitmap_emit/predicate.rs b/nodedb-sql/src/planner/bitmap_emit/predicate.rs index 89a2e3c7d..0fb787a44 100644 --- a/nodedb-sql/src/planner/bitmap_emit/predicate.rs +++ b/nodedb-sql/src/planner/bitmap_emit/predicate.rs @@ -36,22 +36,23 @@ pub struct BitmapHint { pub primary_value: SqlValue, /// Additional values for IN-list expansion (empty for equality). pub extra_values: Vec, - /// The side's system-time cutoff, `None` for the current state. The - /// bitmap reads the versioned index at this cutoff, so it holds the rows + /// The side's system-time scope: `Current` or a point-in-time cut. The + /// bitmap reads the versioned index at this scope, so it holds the rows /// the side reads. - pub system_as_of_ms: Option, + pub system_time: SystemTimeScope, } -/// The system-time cutoff a side's bitmap reads at. `None` inside the outer -/// `Option` when the index cannot answer the side's scope: it holds no valid -/// time and lists no history, so such a side takes no pushdown. -fn bitmap_cutoff(temporal: &TemporalScope) -> Option> { +/// The system-time scope a side's bitmap reads at. `None` when the index +/// cannot answer the side's scope: it holds no valid time and lists no +/// history, so such a side takes no pushdown. +fn bitmap_cutoff(temporal: &TemporalScope) -> Option { if !matches!(temporal.valid_time, ValidTime::Any) { return None; } match temporal.system_time { - SystemTimeScope::Current => Some(None), - SystemTimeScope::AsOf(ms) => Some(Some(ms)), + scope @ (SystemTimeScope::Current + | SystemTimeScope::AsOf(_) + | SystemTimeScope::Pinned { .. }) => Some(scope), SystemTimeScope::AllVersions => None, } } @@ -75,7 +76,7 @@ pub fn analyze(plan: &SqlPlan) -> Option { field: field.clone(), primary_value: value.clone(), extra_values: Vec::new(), - system_as_of_ms: bitmap_cutoff(temporal)?, + system_time: bitmap_cutoff(temporal)?, }), // Plain scan: inspect WHERE filters for indexed-column equality / IN-list. @@ -85,7 +86,7 @@ pub fn analyze(plan: &SqlPlan) -> Option { temporal, .. } => { - let system_as_of_ms = bitmap_cutoff(temporal)?; + let system_time = bitmap_cutoff(temporal)?; // The `SqlPlan::Scan` does not directly carry `IndexSpec` list — that // lives on `TableInfo` which the engine-rules layer consumed when it // chose *not* to rewrite to `DocumentIndexLookup`. However, when the @@ -100,7 +101,7 @@ pub fn analyze(plan: &SqlPlan) -> Option { // index-backed) is emitted unconditionally. // // Future: if `Scan` carries index metadata, extend this arm. - analyze_scan_filters(collection, filters, system_as_of_ms) + analyze_scan_filters(collection, filters, system_time) } _ => None, @@ -118,7 +119,7 @@ pub fn analyze(plan: &SqlPlan) -> Option { fn analyze_scan_filters( collection: &str, filters: &[crate::types::Filter], - system_as_of_ms: Option, + system_time: SystemTimeScope, ) -> Option { // Conservative: only emit when there is exactly one filter and it is an // equality or a small IN-list. The caller (engine rules) would have promoted @@ -137,7 +138,7 @@ fn analyze_scan_filters( field: field.clone(), primary_value: value.clone(), extra_values: Vec::new(), - system_as_of_ms, + system_time, }), FilterExpr::InList { field, values } if !values.is_empty() && values.len() <= MAX_IN_LIST => @@ -149,7 +150,7 @@ fn analyze_scan_filters( field: field.clone(), primary_value: primary, extra_values: iter.collect(), - system_as_of_ms, + system_time, }) } _ => None, diff --git a/nodedb-sql/src/planner/catalog_expr_fold.rs b/nodedb-sql/src/planner/catalog_expr_fold.rs index cf2d75ed8..469cbf810 100644 --- a/nodedb-sql/src/planner/catalog_expr_fold.rs +++ b/nodedb-sql/src/planner/catalog_expr_fold.rs @@ -36,10 +36,13 @@ pub(super) fn eval_catalog_constant( // A from-less SELECT's plan is marked volatile when it holds a volatile // call, so it is never cached. Evaluating the call here therefore serves // this execution only, and the next execution re-plans and re-evaluates. - Ok( - crate::planner::const_fold::fold_constant_scoped(expr, functions, FoldScope::Once)? - .unwrap_or(SqlValue::Null), - ) + Ok(crate::planner::const_fold::fold_constant_scoped( + expr, + functions, + FoldScope::Once, + &catalog.crs_context(), + )? + .unwrap_or(SqlValue::Null)) } /// Route `nextval` / `currval` / `setval` to the catalog's sequence state. diff --git a/nodedb-sql/src/planner/const_fold.rs b/nodedb-sql/src/planner/const_fold.rs index 511037175..4c031ab39 100644 --- a/nodedb-sql/src/planner/const_fold.rs +++ b/nodedb-sql/src/planner/const_fold.rs @@ -21,6 +21,7 @@ use std::sync::LazyLock; +use nodedb_crs::CrsContext; use nodedb_types::Value; use sonic_rs; @@ -47,8 +48,8 @@ pub fn default_registry() -> &'static FunctionRegistry { } /// Convenience wrapper around [`fold_constant`] using the default registry. -pub fn fold_constant_default(expr: &SqlExpr) -> FoldResult { - fold_constant(expr, default_registry()) +pub fn fold_constant_default(expr: &SqlExpr, crs: &CrsContext<'_>) -> FoldResult { + fold_constant(expr, default_registry(), crs) } /// Whether a fold is allowed to evaluate `Volatile` functions. @@ -66,9 +67,14 @@ pub enum FoldScope { } /// Fold a `SqlExpr` to a literal `SqlValue` at plan time. See [`FoldResult`] -/// for what each outcome means. Volatile calls are never folded. -pub fn fold_constant(expr: &SqlExpr, registry: &FunctionRegistry) -> FoldResult { - fold_constant_scoped(expr, registry, FoldScope::Reuse) +/// for what each outcome means. Volatile calls are never folded. Geo +/// functions resolve SRIDs through `crs`. +pub fn fold_constant( + expr: &SqlExpr, + registry: &FunctionRegistry, + crs: &CrsContext<'_>, +) -> FoldResult { + fold_constant_scoped(expr, registry, FoldScope::Reuse, crs) } /// Fold a `SqlExpr` under an explicit [`FoldScope`]. @@ -76,13 +82,14 @@ pub fn fold_constant_scoped( expr: &SqlExpr, registry: &FunctionRegistry, scope: FoldScope, + crs: &CrsContext<'_>, ) -> FoldResult { match expr { SqlExpr::Literal(v) => Ok(Some(v.clone())), SqlExpr::ArrayLiteral(items) => { let mut folded = Vec::with_capacity(items.len()); for item in items { - match fold_constant_scoped(item, registry, scope)? { + match fold_constant_scoped(item, registry, scope, crs)? { Some(v) => folded.push(v), None => return Ok(None), } @@ -92,7 +99,7 @@ pub fn fold_constant_scoped( SqlExpr::UnaryOp { op: UnaryOp::Neg, expr, - } => Ok(match fold_constant_scoped(expr, registry, scope)? { + } => Ok(match fold_constant_scoped(expr, registry, scope, crs)? { // `checked_neg` so negating `i64::MIN` declines to fold rather // than wrapping (release) or panicking (debug). Some(SqlValue::Int(i)) => i.checked_neg().map(SqlValue::Int), @@ -110,17 +117,17 @@ pub fn fold_constant_scoped( }), SqlExpr::BinaryOp { left, op, right } => { let (Some(l), Some(r)) = ( - fold_constant_scoped(left, registry, scope)?, - fold_constant_scoped(right, registry, scope)?, + fold_constant_scoped(left, registry, scope, crs)?, + fold_constant_scoped(right, registry, scope, crs)?, ) else { return Ok(None); }; fold_binary(l, *op, r) } SqlExpr::Function { name, args, .. } => { - fold_function_call_scoped(name, args, registry, scope) + fold_function_call_scoped(name, args, registry, scope, crs) } - SqlExpr::Cast { expr, to_type } => Ok(fold_constant_scoped(expr, registry, scope)? + SqlExpr::Cast { expr, to_type } => Ok(fold_constant_scoped(expr, registry, scope, crs)? .and_then(|inner| fold_cast(inner, to_type))), _ => Ok(None), } @@ -343,8 +350,13 @@ fn fold_binary(l: SqlValue, op: BinaryOp, r: SqlValue) -> FoldResult { /// `SqlValue`. Only folds functions that are present in `registry`, so /// callers can distinguish "unknown function" from "known function, all /// args folded". A `Volatile` function is never folded. -pub fn fold_function_call(name: &str, args: &[SqlExpr], registry: &FunctionRegistry) -> FoldResult { - fold_function_call_scoped(name, args, registry, FoldScope::Reuse) +pub fn fold_function_call( + name: &str, + args: &[SqlExpr], + registry: &FunctionRegistry, + crs: &CrsContext<'_>, +) -> FoldResult { + fold_function_call_scoped(name, args, registry, FoldScope::Reuse, crs) } /// Fold a function call under an explicit [`FoldScope`]. @@ -353,6 +365,7 @@ pub fn fold_function_call_scoped( args: &[SqlExpr], registry: &FunctionRegistry, scope: FoldScope, + crs: &CrsContext<'_>, ) -> FoldResult { // Gate on registry so unknown-function paths keep their existing // fallbacks instead of collapsing to SqlValue::Null. Aggregates and @@ -382,7 +395,7 @@ pub fn fold_function_call_scoped( let mut folded_args = Vec::with_capacity(args.len()); for arg in args { - match fold_constant_scoped(arg, registry, scope)? { + match fold_constant_scoped(arg, registry, scope, crs)? { Some(v) => folded_args.push(sql_to_ndb_value(v)), None => return Ok(None), } @@ -394,7 +407,7 @@ pub fn fold_function_call_scoped( // clause; `SELECT mod(5, 0)` has no row scope and became NULL. // Exhaustive on purpose: a new `EvalError` variant must be classified // here rather than defaulting to "defer to a runtime that may not exist". - match nodedb_query::functions::eval_function(&name_lower, &folded_args) { + match nodedb_query::functions::eval_function(&name_lower, &folded_args, crs) { Ok(result) => Ok(Some(ndb_to_sql_value(result))), Err(nodedb_query::EvalError::DivisionByZero) => Err(SqlError::DivisionByZero), Err( @@ -402,9 +415,11 @@ pub fn fold_function_call_scoped( | nodedb_query::EvalError::ArgumentType { .. } | nodedb_query::EvalError::InvalidJsonPath { .. } | nodedb_query::EvalError::NumericOverflow { .. } - | nodedb_query::EvalError::UnsupportedSrid { .. } + | nodedb_query::EvalError::Crs { .. } | nodedb_query::EvalError::MixedSrid { .. } - | nodedb_query::EvalError::ProjectionDomain { .. }), + | nodedb_query::EvalError::Transform { .. } + | nodedb_query::EvalError::Geometry { .. } + | nodedb_query::EvalError::ArgumentValue { .. }), ) => Err(SqlError::DataException { detail: e.to_string(), }), @@ -427,6 +442,7 @@ fn sql_to_ndb_value(v: SqlValue) -> Value { SqlValue::Array(a) => Value::Array(a.into_iter().map(sql_to_ndb_value).collect()), SqlValue::Timestamp(dt) => Value::NaiveDateTime(dt), SqlValue::Timestamptz(dt) => Value::DateTime(dt), + SqlValue::Geometry(g) => Value::Geometry(g), } } @@ -445,15 +461,10 @@ fn ndb_to_sql_value(v: Value) -> SqlValue { Value::Uuid(s) | Value::Ulid(s) | Value::Regex(s) => SqlValue::String(s), Value::Duration(d) => SqlValue::String(d.to_human()), Value::Decimal(d) => SqlValue::Decimal(d), - // Geometry and Object values are serialized to JSON strings so that - // nested function calls like ST_Distance(ST_Point(...), ST_Point(...)) - // survive the SqlValue round-trip. The geo evaluator's geom_arg helper - // recovers Geometry from a GeoJSON string, SRID included through the - // `crs` member; Object results (e.g. from - // ST_GeoHashDecode) reach the client as a JSON-encoded string column. - Value::Geometry(g) => sonic_rs::to_string(&g) - .map(SqlValue::String) - .unwrap_or(SqlValue::Null), + // A geometry keeps its SRID, Z and M through the fold. + Value::Geometry(g) => SqlValue::Geometry(g), + // Object results (ST_GeoHashDecode) reach the client as a + // JSON-encoded string column. Value::Object(map) => sonic_rs::to_string(&map) .map(SqlValue::String) .unwrap_or(SqlValue::Null), @@ -472,6 +483,10 @@ fn ndb_to_sql_value(v: Value) -> SqlValue { mod tests { use super::*; + fn crs() -> CrsContext<'static> { + CrsContext::builtin_only() + } + #[test] fn fold_now_produces_timestamptz_once_only() { let registry = FunctionRegistry::new(); @@ -482,10 +497,10 @@ mod tests { }; // `now` is volatile, so a reusable plan must never carry its value. assert!( - matches!(fold_constant(&expr, ®istry), Ok(None)), + matches!(fold_constant(&expr, ®istry, &crs()), Ok(None)), "now() must not fold into a reusable plan" ); - let val = fold_constant_scoped(&expr, ®istry, FoldScope::Once) + let val = fold_constant_scoped(&expr, ®istry, FoldScope::Once, &crs()) .expect("fold must not error") .expect("now() must fold for a single execution"); match val { @@ -509,11 +524,11 @@ mod tests { ))), }; assert_eq!( - fold_constant(&neg("9223372036854775808"), ®istry).unwrap(), + fold_constant(&neg("9223372036854775808"), ®istry, &crs()).unwrap(), Some(SqlValue::Int(i64::MIN)) ); assert_eq!( - fold_constant(&neg("18446744073709551615"), ®istry).unwrap(), + fold_constant(&neg("18446744073709551615"), ®istry, &crs()).unwrap(), Some(SqlValue::Decimal(-rust_decimal::Decimal::from(u64::MAX))) ); } @@ -531,7 +546,7 @@ mod tests { ], distinct: false, }; - let err = fold_constant(&expr, ®istry).expect_err("malformed path must fail"); + let err = fold_constant(&expr, ®istry, &crs()).expect_err("malformed path must fail"); assert!( matches!(&err, SqlError::DataException { detail } if detail.contains("invalid JSONPath")), "{err:?}" @@ -547,11 +562,11 @@ mod tests { distinct: false, }; assert!( - matches!(fold_constant(&expr, ®istry), Ok(None)), + matches!(fold_constant(&expr, ®istry, &crs()), Ok(None)), "current_timestamp must not fold into a reusable plan" ); assert!(matches!( - fold_constant_scoped(&expr, ®istry, FoldScope::Once), + fold_constant_scoped(&expr, ®istry, FoldScope::Once, &crs()), Ok(Some(SqlValue::Timestamptz(_))) )); } @@ -565,7 +580,7 @@ mod tests { distinct: false, }; assert!( - fold_constant(&expr, ®istry) + fold_constant(&expr, ®istry, &crs()) .expect("fold must not error") .is_none() ); @@ -579,7 +594,7 @@ mod tests { SqlExpr::Literal(SqlValue::Int(42)), ]); assert_eq!( - fold_constant(&expr, ®istry), + fold_constant(&expr, ®istry, &crs()), Ok(Some(SqlValue::Array(vec![ SqlValue::String("public".into()), SqlValue::Int(42), @@ -595,7 +610,10 @@ mod tests { op: BinaryOp::Add, right: Box::new(SqlExpr::Literal(SqlValue::Int(3))), }; - assert_eq!(fold_constant(&expr, ®istry), Ok(Some(SqlValue::Int(5)))); + assert_eq!( + fold_constant(&expr, ®istry, &crs()), + Ok(Some(SqlValue::Int(5))) + ); } #[test] @@ -606,7 +624,7 @@ mod tests { name: "name".into(), }; assert!( - fold_constant(&expr, ®istry) + fold_constant(&expr, ®istry, &crs()) .expect("fold must not error") .is_none() ); @@ -618,7 +636,7 @@ mod tests { let d = rust_decimal::Decimal::new(12345, 2); // 123.45 let expr = SqlExpr::Literal(SqlValue::Decimal(d)); assert_eq!( - fold_constant(&expr, ®istry), + fold_constant(&expr, ®istry, &crs()), Ok(Some(SqlValue::Decimal(d))) ); } @@ -636,7 +654,7 @@ mod tests { }; let expected = Decimal::new(58023, 2); // 580.23 assert_eq!( - fold_constant(&expr, ®istry), + fold_constant(&expr, ®istry, &crs()), Ok(Some(SqlValue::Decimal(expected))) ); } @@ -651,7 +669,7 @@ mod tests { expr: Box::new(SqlExpr::Literal(SqlValue::Decimal(d))), }; assert_eq!( - fold_constant(&expr, ®istry), + fold_constant(&expr, ®istry, &crs()), Ok(Some(SqlValue::Decimal(-d))) ); } @@ -671,7 +689,7 @@ mod tests { ], distinct: false, }; - let v = fold_constant(&expr, ®istry).expect("fold must not error"); + let v = fold_constant(&expr, ®istry, &crs()).expect("fold must not error"); match v { Some(SqlValue::String(ref s)) if !s.is_empty() => {} other => panic!("expected non-empty SqlValue::String, got {other:?}"), @@ -694,7 +712,7 @@ mod tests { args: vec![make_point(-122.4, 37.8), make_point(-87.6, 41.8)], distinct: false, }; - let v = fold_constant(&expr, ®istry).expect("fold must not error"); + let v = fold_constant(&expr, ®istry, &crs()).expect("fold must not error"); match v { Some(SqlValue::Float(d)) => { assert!(d > 0.0, "distance should be positive, got {d}"); @@ -715,7 +733,7 @@ mod tests { }; let expected = Decimal::new(150, 0); assert_eq!( - fold_constant(&expr, ®istry), + fold_constant(&expr, ®istry, &crs()), Ok(Some(SqlValue::Decimal(expected))) ); } diff --git a/nodedb-sql/src/planner/declared_type_coerce.rs b/nodedb-sql/src/planner/declared_type_coerce.rs index 226a68cad..68c2e614a 100644 --- a/nodedb-sql/src/planner/declared_type_coerce.rs +++ b/nodedb-sql/src/planner/declared_type_coerce.rs @@ -363,7 +363,7 @@ fn coerce_to_instant(column: &str, value: SqlValue, declared: &SqlDataType) -> R .and_then(|millis| NdbDateTime::from_millis(millis).ok()) .map(tag) .ok_or_else(|| not_representable(column, &d.to_string(), declared_name)), - SqlValue::Bool(_) | SqlValue::Bytes(_) | SqlValue::Array(_) => { + SqlValue::Bool(_) | SqlValue::Bytes(_) | SqlValue::Array(_) | SqlValue::Geometry(_) => { Err(SqlError::TypeMismatch { detail: format!( "column '{column}': {} is not representable as {declared_name}", @@ -406,6 +406,7 @@ fn literal_kind(value: &SqlValue) -> &'static str { SqlValue::Array(_) => "an array", SqlValue::Timestamp(_) => "a timestamp", SqlValue::Timestamptz(_) => "a timestamptz", + SqlValue::Geometry(_) => "a geometry", } } diff --git a/nodedb-sql/src/planner/declared_vector_coerce.rs b/nodedb-sql/src/planner/declared_vector_coerce.rs index 8d91d6b3a..7f63b2db1 100644 --- a/nodedb-sql/src/planner/declared_vector_coerce.rs +++ b/nodedb-sql/src/planner/declared_vector_coerce.rs @@ -100,6 +100,7 @@ fn element_description(element: &SqlValue) -> String { SqlValue::Array(_) => "a nested array".to_string(), SqlValue::Timestamp(_) => "a timestamp".to_string(), SqlValue::Timestamptz(_) => "a timestamptz".to_string(), + SqlValue::Geometry(_) => "a geometry".to_string(), SqlValue::Int(_) => "an integer".to_string(), SqlValue::Float(_) => "a float".to_string(), SqlValue::Decimal(_) => "a decimal".to_string(), diff --git a/nodedb-sql/src/planner/defaults/compiled.rs b/nodedb-sql/src/planner/defaults/compiled.rs index 0f2286ffa..146652b4e 100644 --- a/nodedb-sql/src/planner/defaults/compiled.rs +++ b/nodedb-sql/src/planner/defaults/compiled.rs @@ -124,6 +124,7 @@ impl CompiledDefault { parsed, crate::planner::const_fold::default_registry(), crate::planner::const_fold::FoldScope::Once, + &catalog.crs_context(), ) .map_err(|_| unevaluable(&self.column, &self.text))? .ok_or_else(|| unevaluable(&self.column, &self.text))?; diff --git a/nodedb-sql/src/planner/defaults/convert.rs b/nodedb-sql/src/planner/defaults/convert.rs index 6817a5cca..016494013 100644 --- a/nodedb-sql/src/planner/defaults/convert.rs +++ b/nodedb-sql/src/planner/defaults/convert.rs @@ -20,6 +20,7 @@ pub(super) fn sql_value_to_ndb(v: SqlValue) -> nodedb_types::Value { } SqlValue::Timestamp(dt) => nodedb_types::Value::NaiveDateTime(dt), SqlValue::Timestamptz(dt) => nodedb_types::Value::DateTime(dt), + SqlValue::Geometry(g) => nodedb_types::Value::Geometry(g), } } @@ -42,6 +43,7 @@ pub fn default_value_to_sql(column: &str, value: nodedb_types::Value) -> crate:: nodedb_types::Value::Bytes(b) => SqlValue::Bytes(b), nodedb_types::Value::NaiveDateTime(dt) => SqlValue::Timestamp(dt), nodedb_types::Value::DateTime(dt) => SqlValue::Timestamptz(dt), + nodedb_types::Value::Geometry(g) => SqlValue::Geometry(g), nodedb_types::Value::Array(items) => SqlValue::Array( items .into_iter() diff --git a/nodedb-sql/src/planner/dml/target.rs b/nodedb-sql/src/planner/dml/target.rs index 0f1a46b56..33e597f5d 100644 --- a/nodedb-sql/src/planner/dml/target.rs +++ b/nodedb-sql/src/planner/dml/target.rs @@ -166,7 +166,7 @@ pub(super) fn typed_rows( rows_ast: &[ast::Parens>], catalog: &dyn SqlCatalog, ) -> Result { - let mut rows = convert_value_rows(columns, rows_ast)?; + let mut rows = convert_value_rows(columns, rows_ast, &catalog.crs_context())?; let volatile_defaults = materialize_defaults_in_rows(&info.columns, &mut rows, catalog)?; coerce_and_check_rows(info, &mut rows)?; Ok(TypedRows { diff --git a/nodedb-sql/src/planner/dml/update_delete.rs b/nodedb-sql/src/planner/dml/update_delete.rs index 1d5874857..89cb50c93 100644 --- a/nodedb-sql/src/planner/dml/update_delete.rs +++ b/nodedb-sql/src/planner/dml/update_delete.rs @@ -72,7 +72,7 @@ pub fn plan_update(stmt: &ast::Statement, catalog: &dyn SqlCatalog) -> Result Vec::new(), }; - let target_keys = extract_point_keys(update.selection.as_ref(), &info); + let target_keys = extract_point_keys(update.selection.as_ref(), &info, &catalog.crs_context()); // Vector-primary collection: the row lives in the HNSW index and its // payload sidecar, never in the document store the engine rules target. @@ -179,7 +179,7 @@ pub fn plan_delete(stmt: &ast::Statement, catalog: &dyn SqlCatalog) -> Result Vec::new(), }; - let target_keys = extract_point_keys(delete.selection.as_ref(), &info); + let target_keys = extract_point_keys(delete.selection.as_ref(), &info, &catalog.crs_context()); // Vector-primary collection: see `plan_update`. if is_vector_primary(&info) diff --git a/nodedb-sql/src/planner/dml_helpers/ast_extract.rs b/nodedb-sql/src/planner/dml_helpers/ast_extract.rs index 4bdcc5d3f..7f3bed215 100644 --- a/nodedb-sql/src/planner/dml_helpers/ast_extract.rs +++ b/nodedb-sql/src/planner/dml_helpers/ast_extract.rs @@ -23,7 +23,12 @@ pub(crate) fn extract_table_name_from_table_with_joins( } /// Extract point-operation keys from WHERE clause (WHERE pk = literal OR pk IN (...)). -pub fn extract_point_keys(selection: Option<&ast::Expr>, info: &CollectionInfo) -> Vec { +/// Geo functions in a key value resolve SRIDs through `crs`. +pub fn extract_point_keys( + selection: Option<&ast::Expr>, + info: &CollectionInfo, + crs: &nodedb_crs::CrsContext<'_>, +) -> Vec { let pk = match &info.primary_key { Some(pk) => pk.clone(), None => return Vec::new(), @@ -38,7 +43,7 @@ pub fn extract_point_keys(selection: Option<&ast::Expr>, info: &CollectionInfo) // The keys stand for the WHERE only when they cover every row it matches. // A disjunct that is no key equality (`id = 'd' OR v < 2`) matches rows no // key names, so the statement takes the predicate path. - if collect_pk_equalities(expr, &pk, &mut keys) { + if collect_pk_equalities(expr, &pk, &mut keys, crs) { keys } else { Vec::new() @@ -48,7 +53,12 @@ pub fn extract_point_keys(selection: Option<&ast::Expr>, info: &CollectionInfo) /// Push the keys `expr` names into `keys`. Returns `false` when `expr` matches /// a row no pushed key names: a disjunct that is no key equality, or a key /// value that is no literal. -fn collect_pk_equalities(expr: &ast::Expr, pk: &str, keys: &mut Vec) -> bool { +fn collect_pk_equalities( + expr: &ast::Expr, + pk: &str, + keys: &mut Vec, + crs: &nodedb_crs::CrsContext<'_>, +) -> bool { match expr { ast::Expr::BinaryOp { left, @@ -62,7 +72,7 @@ fn collect_pk_equalities(expr: &ast::Expr, pk: &str, keys: &mut Vec) - } else { return false; }; - match expr_to_sql_value(value) { + match expr_to_sql_value(value, crs) { Ok(v) => { keys.push(v); true @@ -74,12 +84,15 @@ fn collect_pk_equalities(expr: &ast::Expr, pk: &str, keys: &mut Vec) - left, op: ast::BinaryOperator::Or, right, - } => collect_pk_equalities(left, pk, keys) && collect_pk_equalities(right, pk, keys), + } => { + collect_pk_equalities(left, pk, keys, crs) + && collect_pk_equalities(right, pk, keys, crs) + } ast::Expr::InList { expr: inner, list, negated: false, - } if is_column(inner, pk) => list.iter().all(|item| match expr_to_sql_value(item) { + } if is_column(inner, pk) => list.iter().all(|item| match expr_to_sql_value(item, crs) { Ok(v) => { keys.push(v); true diff --git a/nodedb-sql/src/planner/dml_helpers/kv_insert.rs b/nodedb-sql/src/planner/dml_helpers/kv_insert.rs index e3276e3af..dc03412a2 100644 --- a/nodedb-sql/src/planner/dml_helpers/kv_insert.rs +++ b/nodedb-sql/src/planner/dml_helpers/kv_insert.rs @@ -77,11 +77,12 @@ pub(crate) fn build_kv_insert_plan(params: KvInsertParams<'_>) -> Result> = Vec::with_capacity(rows_ast.len()); let mut volatile_defaults = false; + let crs = catalog.crs_context(); for row_exprs in rows_ast { let mut row: Vec<(String, SqlValue)> = Vec::with_capacity(columns.len()); for (i, col) in columns.iter().enumerate() { let Some(expr) = row_exprs.get(i) else { break }; - row.push((col.clone(), expr_to_sql_value(expr)?)); + row.push((col.clone(), expr_to_sql_value(expr, &crs)?)); } volatile_defaults |= compiled_defaults.materialize_row(&mut row, catalog)?; // The key column is exempt — see `coerce_rows_to_declared_types`. diff --git a/nodedb-sql/src/planner/dml_helpers/value_convert.rs b/nodedb-sql/src/planner/dml_helpers/value_convert.rs index 9c55b9514..b7a088ffa 100644 --- a/nodedb-sql/src/planner/dml_helpers/value_convert.rs +++ b/nodedb-sql/src/planner/dml_helpers/value_convert.rs @@ -7,6 +7,7 @@ //! concrete value, so constant folding and spatial-constructor handling never //! drift between them. +use nodedb_crs::CrsContext; use sqlparser::ast; use crate::error::{Result, SqlError}; @@ -16,6 +17,7 @@ use crate::types::*; pub(crate) fn convert_value_rows( columns: &[String], rows: &[ast::Parens>], + crs: &CrsContext<'_>, ) -> Result>> { rows.iter() .map(|row| { @@ -23,7 +25,7 @@ pub(crate) fn convert_value_rows( .enumerate() .map(|(i, expr)| { let col = columns.get(i).cloned().unwrap_or_else(|| format!("col{i}")); - let val = expr_to_sql_value(expr)?; + let val = expr_to_sql_value(expr, crs)?; Ok((col, val)) }) .collect::>>() @@ -31,13 +33,17 @@ pub(crate) fn convert_value_rows( .collect() } -pub(crate) fn expr_to_sql_value(expr: &ast::Expr) -> Result { +/// Geo functions resolve SRIDs through `crs`. +pub(crate) fn expr_to_sql_value(expr: &ast::Expr, crs: &CrsContext<'_>) -> Result { match expr { ast::Expr::Value(v) => convert_value(&v.value), // Array literals lower element-wise into `SqlValue::Array`; there is // no array-literal `SqlValue` the constant folder could produce. ast::Expr::Array(ast::Array { elem, .. }) => { - let vals = elem.iter().map(expr_to_sql_value).collect::>()?; + let vals = elem + .iter() + .map(|e| expr_to_sql_value(e, crs)) + .collect::>()?; Ok(SqlValue::Array(vals)) } // A geometry-producing call resolves through the geometry-expression @@ -45,11 +51,11 @@ pub(crate) fn expr_to_sql_value(expr: &ast::Expr) -> Result { // than the NULL the generic folder would produce — storing NULL for // `ST_GeomFromText('POINT(')` would lose the row's geometry silently. ast::Expr::Function(func) => { - match crate::planner::geometry_expr::fold_geometry_function(func) { + match crate::planner::geometry_expr::fold_geometry_function(func, crs) { Some(result) => result, // Non-geometry functions (`now()`, `date_add(...)`, registered // scalars) fold through the shared pipeline below. - None => fold_constant_value(expr), + None => fold_constant_value(expr, crs), } } // Everything else — `::TYPE` / `CAST(... AS TYPE)` casts, arithmetic, @@ -58,14 +64,14 @@ pub(crate) fn expr_to_sql_value(expr: &ast::Expr) -> Result { // uses, so the two surfaces never drift. Only genuinely row- or // runtime-dependent expressions (column refs, subqueries, unknown // functions) fail here. - _ => fold_constant_value(expr), + _ => fold_constant_value(expr, crs), } } -fn fold_constant_value(expr: &ast::Expr) -> Result { +fn fold_constant_value(expr: &ast::Expr, crs: &CrsContext<'_>) -> Result { let sql_expr = crate::resolver::expr::convert_expr(expr, &crate::resolver::ColumnScope::Unchecked)?; - crate::planner::const_fold::fold_constant_default(&sql_expr)?.ok_or_else(|| { + crate::planner::const_fold::fold_constant_default(&sql_expr, crs)?.ok_or_else(|| { SqlError::Unsupported { detail: format!("value expression: {expr}"), } diff --git a/nodedb-sql/src/planner/geometry_expr/resolve.rs b/nodedb-sql/src/planner/geometry_expr/resolve.rs index 62f75387a..6f8c21511 100644 --- a/nodedb-sql/src/planner/geometry_expr/resolve.rs +++ b/nodedb-sql/src/planner/geometry_expr/resolve.rs @@ -11,6 +11,7 @@ use sqlparser::ast; +use nodedb_crs::CrsContext; use nodedb_query::geo_functions; use nodedb_types::geometry::SridGeometry; @@ -23,20 +24,21 @@ use crate::types::*; /// Returns `None` when `func` is not a geometry-producing geospatial call, so /// the caller falls through to the shared constant-folding pipeline. /// -/// The stored form is a GeoJSON string, which is what the spatial read path -/// parses back. A geometry in any SRID other than 4326 carries the `crs` -/// member, so the SRID survives storage. A call whose arguments do not -/// describe a valid geometry is an -/// error rather than a NULL: silently storing NULL for a malformed -/// `ST_GeomFromText('POINT(')` would lose the row's geometry with no signal. -pub(crate) fn fold_geometry_function(func: &ast::Function) -> Option> { +/// The folded form is [`SqlValue::Geometry`], which keeps the SRID, Z and +/// M into storage. A call whose arguments do not describe a valid geometry +/// is an error rather than a NULL: storing NULL for a malformed +/// `ST_GeomFromText('POINT(')` loses the row's geometry with no signal. +pub(crate) fn fold_geometry_function( + func: &ast::Function, + crs: &CrsContext<'_>, +) -> Option> { let name = function_name(func); if !geo_functions::returns_geometry(&name) { return None; } let expr = ast::Expr::Function(func.clone()); - Some(match resolve(&expr) { - Ok(Some(geom)) => serialize(&geom, &name), + Some(match resolve(&expr, crs) { + Ok(Some(geom)) => Ok(SqlValue::Geometry(geom)), Ok(None) => Err(invalid_geometry(&name)), Err(e) => Err(e), }) @@ -49,8 +51,11 @@ pub(crate) fn fold_geometry_function(func: &ast::Function) -> Option Result { - match resolve(expr)? { +pub(crate) fn resolve_geometry_expr( + expr: &ast::Expr, + crs: &CrsContext<'_>, +) -> Result { + match resolve(expr, crs)? { Some(geom) => Ok(geom), None => Err(SqlError::InvalidFunction { detail: format!( @@ -64,34 +69,25 @@ pub(crate) fn resolve_geometry_expr(expr: &ast::Expr) -> Result { /// /// `Ok(None)` means the expression folded but is not a geometry, or could not /// be folded at plan time at all. -fn resolve(expr: &ast::Expr) -> Result> { +fn resolve(expr: &ast::Expr, crs: &CrsContext<'_>) -> Result> { let sql_expr = crate::resolver::expr::convert_expr(expr, &crate::resolver::ColumnScope::Unchecked)?; - let Some(value) = crate::planner::const_fold::fold_constant_default(&sql_expr)? else { + let Some(value) = crate::planner::const_fold::fold_constant_default(&sql_expr, crs)? else { return Ok(None); }; - Ok(geometry_from_value(&value)) + Ok(geometry_from_value(&value, crs)) } -/// Geometry travels through `SqlValue` as its GeoJSON string form, which is -/// also how it is stored; WKT literals are accepted here for the same reason -/// they are accepted by the evaluator. -fn geometry_from_value(value: &SqlValue) -> Option { +/// A folded geometry, or a geometry literal: GeoJSON, EWKT, WKT or hex +/// EWKB text, as the evaluator accepts them. +fn geometry_from_value(value: &SqlValue, crs: &CrsContext<'_>) -> Option { match value { - SqlValue::String(text) => geo_functions::geometry_from_text(text), + SqlValue::Geometry(g) => Some(g.clone()), + SqlValue::String(text) => geo_functions::geometry_from_text(text, crs), _ => None, } } -/// GeoJSON text of `geom`, with the `crs` member for a non-4326 SRID. -fn serialize(geom: &SridGeometry, name: &str) -> Result { - sonic_rs::to_string(geom) - .map(SqlValue::String) - .map_err(|e| SqlError::InvalidFunction { - detail: format!("{name}: failed to serialize geometry: {e}"), - }) -} - fn invalid_geometry(name: &str) -> SqlError { SqlError::InvalidFunction { detail: format!("{name}: arguments do not describe a valid geometry"), @@ -119,6 +115,16 @@ mod tests { use super::{fold_geometry_function, resolve_geometry_expr}; use crate::types::SqlValue; + fn crs() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + + /// An SRID no CRS defines fails the fold. + #[test] + fn undefined_srid_is_an_error() { + assert!(resolve_geometry_expr(&expr("ST_SetSRID(ST_Point(1, 2), 999)"), &crs()).is_err()); + } + /// Parse a scalar SQL expression out of `SELECT `. fn expr(sql: &str) -> sqlparser::ast::Expr { use sqlparser::ast::{SetExpr, Statement}; @@ -139,8 +145,8 @@ mod tests { } fn resolved(sql: &str) -> Geometry { - resolve_geometry_expr(&expr(sql)) - .map(|g| g.geometry) + resolve_geometry_expr(&expr(sql), &crs()) + .map(|g| g.geometry().clone()) .unwrap_or_else(|e| panic!("`{sql}` must resolve to a geometry: {e}")) } @@ -197,7 +203,7 @@ mod tests { #[test] fn non_geometry_argument_reports_a_geometry_error() { for sql in ["42", "'not a geometry'", "TRUE"] { - let err = resolve_geometry_expr(&expr(sql)) + let err = resolve_geometry_expr(&expr(sql), &crs()) .expect_err("`{sql}` must not resolve to a geometry") .to_string(); assert!( @@ -214,50 +220,40 @@ mod tests { // ── Inserted-value position ───────────────────────────────────────────────── #[test] - fn geometry_functions_fold_to_their_stored_geojson_form() { + fn geometry_functions_fold_to_a_geometry_value() { let sqlparser::ast::Expr::Function(func) = expr("ST_GeomFromText('POINT(1 2)')") else { panic!("expected a function"); }; - let Some(Ok(SqlValue::String(geojson))) = fold_geometry_function(&func) else { - panic!("a geometry constructor must fold to its stored form"); + let Some(Ok(SqlValue::Geometry(g))) = fold_geometry_function(&func, &crs()) else { + panic!("a geometry constructor must fold to a geometry"); }; - assert_eq!( - nodedb_types::geometry::from_geojson_str(&geojson), - Some(SridGeometry::wgs84(Geometry::point(1.0, 2.0))), - "stored form must parse back through the spatial read path" - ); - assert!( - !geojson.contains("crs"), - "4326 writes no crs member: {geojson}" - ); + assert_eq!(g, SridGeometry::wgs84(Geometry::point(1.0, 2.0))); } - /// A projected geometry folds with its `crs` member, so the stored form - /// keeps the SRID. + /// Z, M and a projected SRID survive the fold. #[test] - fn projected_geometry_folds_with_crs_member() { - let sqlparser::ast::Expr::Function(func) = expr("ST_GeomFromText('POINT(1 2)', 3375)") + fn fold_keeps_srid_z_and_m() { + let sqlparser::ast::Expr::Function(func) = + expr("ST_GeomFromText('POINT ZM (1 2 3 4)', 3375)") else { panic!("expected a function"); }; - let Some(Ok(SqlValue::String(geojson))) = fold_geometry_function(&func) else { - panic!("a geometry constructor must fold to its stored form"); + let Some(Ok(SqlValue::Geometry(g))) = fold_geometry_function(&func, &crs()) else { + panic!("a geometry constructor must fold to a geometry"); }; - assert!(geojson.contains("EPSG:3375"), "{geojson}"); - assert_eq!( - nodedb_types::geometry::from_geojson_str(&geojson).map(|g| g.srid), - Some(Srid::PeninsularRso) - ); - let tagged = resolve_geometry_expr(&expr("ST_SetSRID(ST_Point(1, 2), 32648)")) + assert_eq!(g.srid, Srid::new(3375).unwrap()); + assert_eq!(g.ordinates().z(), Some(&[3.0][..])); + assert_eq!(g.ordinates().m(), Some(&[4.0][..])); + let tagged = resolve_geometry_expr(&expr("ST_SetSRID(ST_Point(1, 2), 32648)"), &crs()) .expect("must resolve"); - assert_eq!(tagged.srid, Srid::Utm48N); + assert_eq!(tagged.srid, Srid::new(32648).unwrap()); } /// A mixed-SRID operation in geometry position is an error, not a fold. #[test] fn mixed_srid_operation_is_an_error() { let sql = "ST_Union(ST_Point(1, 2), ST_SetSRID(ST_Point(1, 2), 32648))"; - assert!(resolve_geometry_expr(&expr(sql)).is_err()); + assert!(resolve_geometry_expr(&expr(sql), &crs()).is_err()); } /// A non-geometry call falls through so the generic constant folder handles @@ -267,7 +263,7 @@ mod tests { let sqlparser::ast::Expr::Function(func) = expr("ST_Area(ST_Point(1, 2))") else { panic!("expected a function"); }; - assert!(fold_geometry_function(&func).is_none()); + assert!(fold_geometry_function(&func, &crs()).is_none()); } /// Storing NULL for a malformed geometry would drop the row's location with @@ -278,7 +274,7 @@ mod tests { let sqlparser::ast::Expr::Function(func) = expr(sql) else { panic!("expected a function"); }; - let Some(result) = fold_geometry_function(&func) else { + let Some(result) = fold_geometry_function(&func, &crs()) else { panic!("`{sql}` is a geometry constructor and must be claimed"); }; assert!( diff --git a/nodedb-sql/src/planner/search_scope/lookup.rs b/nodedb-sql/src/planner/search_scope/lookup.rs index f69929cb5..fbc2c06db 100644 --- a/nodedb-sql/src/planner/search_scope/lookup.rs +++ b/nodedb-sql/src/planner/search_scope/lookup.rs @@ -23,6 +23,7 @@ pub(super) fn is_index_owned(trigger: SearchTrigger) -> bool { SearchTrigger::None | SearchTrigger::VectorSearch | SearchTrigger::SpatialDWithin + | SearchTrigger::SpatialDWithin3D | SearchTrigger::SpatialContains | SearchTrigger::SpatialIntersects | SearchTrigger::SpatialWithin diff --git a/nodedb-sql/src/planner/select/array_cell_geom.rs b/nodedb-sql/src/planner/select/array_cell_geom.rs index 02acc723f..a4b58e021 100644 --- a/nodedb-sql/src/planner/select/array_cell_geom.rs +++ b/nodedb-sql/src/planner/select/array_cell_geom.rs @@ -300,6 +300,7 @@ mod tests { name: "b1".into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }], tile_extents: vec![4, 4], georef, diff --git a/nodedb-sql/src/planner/select/array_from.rs b/nodedb-sql/src/planner/select/array_from.rs index 80748ff00..d63eecae0 100644 --- a/nodedb-sql/src/planner/select/array_from.rs +++ b/nodedb-sql/src/planner/select/array_from.rs @@ -366,6 +366,7 @@ mod tests { name: name.into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }; (name == "img").then(|| ArrayCatalogView { name: "img".into(), diff --git a/nodedb-sql/src/planner/select/cte_catalog.rs b/nodedb-sql/src/planner/select/cte_catalog.rs index 3cc9df08e..8cc285d46 100644 --- a/nodedb-sql/src/planner/select/cte_catalog.rs +++ b/nodedb-sql/src/planner/select/cte_catalog.rs @@ -77,6 +77,10 @@ impl SqlCatalog for CteCatalog<'_> { } } + fn crs_context(&self) -> nodedb_crs::CrsContext<'_> { + self.inner.crs_context() + } + fn lookup_array(&self, name: &str) -> Option { self.inner.lookup_array(name) } diff --git a/nodedb-sql/src/planner/select/entry/fixtures.rs b/nodedb-sql/src/planner/select/entry/fixtures.rs index 49625db6a..c23839350 100644 --- a/nodedb-sql/src/planner/select/entry/fixtures.rs +++ b/nodedb-sql/src/planner/select/entry/fixtures.rs @@ -153,6 +153,7 @@ impl SqlCatalog for TestCatalog { name: "qual".into(), dtype: crate::types_array::ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }], tile_extents: vec![1, 1_000_000], georef: None, diff --git a/nodedb-sql/src/planner/select/select_stmt.rs b/nodedb-sql/src/planner/select/select_stmt.rs index 7a2f684c8..e57cddfb4 100644 --- a/nodedb-sql/src/planner/select/select_stmt.rs +++ b/nodedb-sql/src/planner/select/select_stmt.rs @@ -181,8 +181,13 @@ pub(super) fn plan_select( // SELECT target list is threaded through so the search plan // self-describes its output columns. let where_projection = convert_projection(&select.projection, &scope)?; - if let Some(plan) = try_extract_where_search(expr, table, functions, &where_projection)? - { + if let Some(plan) = try_extract_where_search( + expr, + table, + functions, + &where_projection, + &catalog.crs_context(), + )? { refuse_dropped_clauses( &plan, SearchBodyClauses { diff --git a/nodedb-sql/src/planner/select/where_search.rs b/nodedb-sql/src/planner/select/where_search.rs index ad748e012..7b6dee36d 100644 --- a/nodedb-sql/src/planner/select/where_search.rs +++ b/nodedb-sql/src/planner/select/where_search.rs @@ -43,8 +43,9 @@ pub(super) fn try_extract_where_search( table: &crate::resolver::columns::ResolvedTable, functions: &FunctionRegistry, projection: &[Projection], + crs: &nodedb_crs::CrsContext<'_>, ) -> Result> { - try_extract_with_extra_filters(expr, table, functions, &[], projection) + try_extract_with_extra_filters(expr, table, functions, &[], projection, crs) } /// Internal entry that threads the sibling-AND predicates through to the @@ -58,11 +59,20 @@ fn try_extract_with_extra_filters( functions: &FunctionRegistry, extra_filters: &[&ast::Expr], projection: &[Projection], + crs: &nodedb_crs::CrsContext<'_>, ) -> Result> { match expr { ast::Expr::Function(func) => { let name = function_name(func); - dispatch_trigger(&name, func, table, functions, extra_filters, projection) + dispatch_trigger( + &name, + func, + table, + functions, + extra_filters, + projection, + crs, + ) } // AND: recurse on each side, carrying the other side as a scan filter. ast::Expr::BinaryOp { @@ -73,24 +83,29 @@ fn try_extract_with_extra_filters( // Try left as the trigger, with right as a carried filter. let mut with_right = extra_filters.to_vec(); with_right.push(right.as_ref()); - if let Some(plan) = - try_extract_with_extra_filters(left, table, functions, &with_right, projection)? - { + if let Some(plan) = try_extract_with_extra_filters( + left, + table, + functions, + &with_right, + projection, + crs, + )? { return Ok(Some(plan)); } // Try right as the trigger, with left as a carried filter. let mut with_left = extra_filters.to_vec(); with_left.push(left.as_ref()); - if let Some(plan) = - try_extract_with_extra_filters(right, table, functions, &with_left, projection)? - { + if let Some(plan) = try_extract_with_extra_filters( + right, table, functions, &with_left, projection, crs, + )? { return Ok(Some(plan)); } Ok(None) } // A parenthesised conjunction is the same conjunction. ast::Expr::Nested(inner) => { - try_extract_with_extra_filters(inner, table, functions, extra_filters, projection) + try_extract_with_extra_filters(inner, table, functions, extra_filters, projection, crs) } _ => Ok(None), } @@ -152,6 +167,7 @@ fn dispatch_trigger( functions: &FunctionRegistry, extra_filters: &[&ast::Expr], projection: &[Projection], + crs: &nodedb_crs::CrsContext<'_>, ) -> Result> { // Exhaustive match on `SearchTrigger`: when a new trigger is added, // this fails to compile until a WHERE-clause routing decision is made @@ -162,10 +178,11 @@ fn dispatch_trigger( plan_text_from_where(name, func, table, extra_filters, projection) } SearchTrigger::SpatialDWithin + | SearchTrigger::SpatialDWithin3D | SearchTrigger::SpatialContains | SearchTrigger::SpatialIntersects | SearchTrigger::SpatialWithin => { - plan_spatial_from_where(name, func, table, extra_filters, projection) + plan_spatial_from_where(name, func, table, extra_filters, projection, crs) } SearchTrigger::VectorSearch => { plan_vector_from_where(name, func, table, extra_filters, projection) @@ -366,9 +383,11 @@ fn plan_spatial_from_where( table: &crate::resolver::columns::ResolvedTable, extra_filters: &[&ast::Expr], projection: &[Projection], + crs: &nodedb_crs::CrsContext<'_>, ) -> Result> { let predicate = match name { "st_dwithin" => SpatialPredicate::DWithin, + "st_3ddwithin" => SpatialPredicate::DWithin3D, "st_contains" => SpatialPredicate::Contains, "st_intersects" => SpatialPredicate::Intersects, "st_within" => SpatialPredicate::Within, @@ -386,15 +405,17 @@ fn plan_spatial_from_where( field: "query geometry".into(), context: name.into(), })?; - let geometry = crate::planner::geometry_expr::resolve_geometry_expr(geom_arg).map_err(|e| { - SqlError::InvalidFunction { - detail: format!("invalid geometry in {name}: {e}"), - } - })?; - let issues = nodedb_spatial::validate::validate_geometry(&geometry.geometry); + let geometry = + crate::planner::geometry_expr::resolve_geometry_expr(geom_arg, crs).map_err(|e| { + SqlError::InvalidFunction { + detail: format!("invalid geometry in {name}: {e}"), + } + })?; + let issues = nodedb_spatial::validate::validate_geometry(geometry.geometry()); if !issues.is_empty() { + let reasons: Vec = issues.iter().map(ToString::to_string).collect(); return Err(SqlError::InvalidFunction { - detail: format!("invalid geometry in {name}: {}", issues.join("; ")), + detail: format!("invalid geometry in {name}: {}", reasons.join("; ")), }); } let distance = if args.len() >= 3 { diff --git a/nodedb-sql/src/resolver/array_tvf.rs b/nodedb-sql/src/resolver/array_tvf.rs index f62baaee8..568ffd7fb 100644 --- a/nodedb-sql/src/resolver/array_tvf.rs +++ b/nodedb-sql/src/resolver/array_tvf.rs @@ -15,7 +15,7 @@ use crate::types::{ ArrayAggPlan, ArrayCatalogView, ArraySlicePlan, CollectionInfo, ColumnInfo, EngineType, SqlCatalog, SqlDataType, }; -use crate::types_array::{ArrayAttrType, ArrayDimType, ArrayReducerAst}; +use crate::types_array::{ArrayAttrAst, ArrayAttrType, ArrayDimType, ArrayReducerAst}; use nodedb_types::columnar::{FloatWidth, IntWidth}; /// The column an audit-log slice (`AS OF SYSTEM TIME NULL`) stamps on each @@ -101,29 +101,50 @@ pub(super) fn resolve_array_tvf( /// The columns of the relation an array cell read exposes: every dim in /// schema order, then each attr `attrs` names in that order, or every attr /// in schema order when `attrs` is empty. -pub fn array_relation_columns(view: &ArrayCatalogView, attrs: &[String]) -> Vec { +/// +/// A `physical` read types an attr with a scale or offset as `float8`, and +/// an attr with a nodata as nullable, since a nodata cell reads as NULL. +pub fn array_relation_columns( + view: &ArrayCatalogView, + attrs: &[String], + physical: bool, +) -> Vec { let mut cols = Vec::with_capacity(view.dims.len() + view.attrs.len()); for d in &view.dims { cols.push(column(&d.name, dim_type_to_sql(d.dtype), false)); } + let attr_col = |a: &ArrayAttrAst| { + let nullable = a.nullable || (physical && a.meta.nodata.is_some()); + attr_column(&a.name, read_type(a, physical), nullable) + }; if attrs.is_empty() { for a in &view.attrs { - cols.push(attr_column(&a.name, a.dtype, a.nullable)); + cols.push(attr_col(a)); } } else { for name in attrs { if let Some(a) = view.attrs.iter().find(|a| &a.name == name) { - cols.push(attr_column(&a.name, a.dtype, a.nullable)); + cols.push(attr_col(a)); } } } cols } +/// The type a read of `attr` carries: `FLOAT64` for a physical read of an +/// attr with a scale or offset, the attr's own type otherwise. +fn read_type(attr: &ArrayAttrAst, physical: bool) -> ArrayAttrType { + if physical && attr.meta.has_transform() { + ArrayAttrType::Float64 + } else { + attr.dtype + } +} + /// The columns a slice's rows carry: its dims and attrs, plus /// [`ARRAY_SYSTEM_TIME_COLUMN`] when it reads every system-time version. pub fn array_slice_columns(view: &ArrayCatalogView, slice: &ArraySlicePlan) -> Vec { - let mut cols = array_relation_columns(view, &slice.attr_projection); + let mut cols = array_relation_columns(view, &slice.attr_projection, slice.physical); if matches!( slice.temporal.system_time, nodedb_types::SystemTimeScope::AllVersions @@ -134,11 +155,12 @@ pub fn array_slice_columns(view: &ArrayCatalogView, slice: &ArraySlicePlan) -> V } /// The columns an aggregate's rows carry: `group`, typed as the group dim, -/// when it groups, then `result`, typed by the reducer. +/// when it groups, then `result`, typed by the reducer. A histogram carries +/// `bin_lo`, `bin_hi` and `count` in place of `result`, one row per bin. /// /// Refuses an attr the array does not hold, or a reducer the attr type cannot answer. pub fn array_agg_columns(view: &ArrayCatalogView, agg: &ArrayAggPlan) -> Result> { - let mut cols = Vec::with_capacity(2); + let mut cols = Vec::with_capacity(4); if let Some(dim) = &agg.group_by_dim && let Some(d) = view.dims.iter().find(|d| &d.name == dim) { @@ -152,7 +174,18 @@ pub fn array_agg_columns(view: &ArrayCatalogView, agg: &ArrayAggPlan) -> Result< table: view.name.clone(), column: agg.attr.clone(), })?; - cols.push(agg_result_column(agg.reducer, &attr.name, attr.dtype)?); + check_agg_reducer(agg.reducer, &attr.name, attr.dtype)?; + if let ArrayReducerAst::Histogram { .. } = agg.reducer { + cols.push(column("bin_lo", SqlDataType::Float64, false)); + cols.push(column("bin_hi", SqlDataType::Float64, false)); + cols.push(column("count", SqlDataType::Int64, false)); + return Ok(cols); + } + cols.push(agg_result_column( + agg.reducer, + &attr.name, + read_type(attr, agg.physical), + )?); Ok(cols) } @@ -178,10 +211,10 @@ fn horizon_column() -> ColumnInfo { /// Refuse a reducer that an attr of type `attr` cannot answer. /// -/// The engine folds only numeric cells and skips every other cell. -/// `SUM`, `MEAN`, `MIN`, and `MAX` over a `STRING` or `BYTES` attr see no cell. -/// Their rows can only carry NULL, so the planner refuses them. -/// `COUNT` counts the non-null cells of every attr type. +/// The engine folds only numeric cells and skips every other cell. Every +/// reducer but `COUNT` over a `STRING` or `BYTES` attr sees no cell, so its +/// rows can only carry NULL, and the planner refuses it. `COUNT` counts the +/// non-null cells of every attr type. pub fn check_agg_reducer( reducer: ArrayReducerAst, attr_name: &str, @@ -192,7 +225,15 @@ pub fn check_agg_reducer( ArrayReducerAst::Sum | ArrayReducerAst::Min | ArrayReducerAst::Max - | ArrayReducerAst::Mean => attr.is_integer() || attr.is_float(), + | ArrayReducerAst::Mean + | ArrayReducerAst::Median + | ArrayReducerAst::Percentile(_) + | ArrayReducerAst::StdDevPop + | ArrayReducerAst::StdDevSamp + | ArrayReducerAst::VarPop + | ArrayReducerAst::VarSamp + | ArrayReducerAst::Mode + | ArrayReducerAst::Histogram { .. } => attr.is_integer() || attr.is_float(), }; if answers { Ok(()) @@ -267,8 +308,8 @@ fn dim_type_to_sql(t: ArrayDimType) -> SqlDataType { } } -/// The column of attr `name`, typed to its wire type: `UINT8` and `INT16` -/// are `int2`, `UINT16` and `INT32` are `int4`, `UINT32` and `INT64` are +/// The column of attr `name`, typed to its wire type: `INT8`, `UINT8` and +/// `INT16` are `int2`, `UINT16` and `INT32` are `int4`, `UINT32` and `INT64` are /// `int8`, `FLOAT32` is `float4`, and `FLOAT64` is `float8`. An unsigned /// type takes the next signed width, so every stored value fits. A width of /// `None` keeps the base `int8` / `float8`. @@ -287,7 +328,7 @@ fn attr_wire_type(t: ArrayAttrType) -> (SqlDataType, Option, Option { (SqlDataType::Int64, Some(IntWidth::I32), None) } - ArrayAttrType::Int16 | ArrayAttrType::UInt8 => { + ArrayAttrType::Int16 | ArrayAttrType::UInt8 | ArrayAttrType::Int8 => { (SqlDataType::Int64, Some(IntWidth::I16), None) } ArrayAttrType::Float64 => (SqlDataType::Float64, None, None), @@ -298,7 +339,8 @@ fn attr_wire_type(t: ArrayAttrType) -> (SqlDataType, Option, Option int8(), - ArrayReducerAst::Mean => float8(), + ArrayReducerAst::Mean + | ArrayReducerAst::Median + | ArrayReducerAst::Percentile(_) + | ArrayReducerAst::StdDevPop + | ArrayReducerAst::StdDevSamp + | ArrayReducerAst::VarPop + | ArrayReducerAst::VarSamp + | ArrayReducerAst::Histogram { .. } => float8(), ArrayReducerAst::Sum if attr.is_integer() => int8(), ArrayReducerAst::Sum => float8(), - ArrayReducerAst::Min | ArrayReducerAst::Max => attr_column("result", attr, true), + ArrayReducerAst::Min | ArrayReducerAst::Max | ArrayReducerAst::Mode => { + attr_column("result", attr, true) + } }) } @@ -395,6 +446,7 @@ mod tests { name: "nir".into(), dtype: ArrayAttrType::Float64, nullable: true, + meta: Default::default(), }], tile_extents: vec![2], georef: None, @@ -407,6 +459,7 @@ mod tests { slice: ArraySliceAst::default(), zone: None, temporal, + physical: false, }; let names = |plan: &ArrayAggPlan| -> Vec { array_agg_row_columns(&view, plan) @@ -426,6 +479,72 @@ mod tests { ); } + #[test] + fn histograms_and_physical_reads_announce_their_columns() { + use crate::types_array::{ArrayAttrMetaAst, ArrayDimAst, ArrayDomainBound, ArraySliceAst}; + let view = ArrayCatalogView { + name: "img".into(), + dims: vec![ArrayDimAst { + name: "x".into(), + dtype: ArrayDimType::Int64, + lo: ArrayDomainBound::Int64(0), + hi: ArrayDomainBound::Int64(3), + }], + attrs: vec![ArrayAttrAst { + name: "red".into(), + dtype: ArrayAttrType::UInt16, + nullable: false, + meta: ArrayAttrMetaAst { + nodata: Some(0.0), + scale: Some(0.5), + ..ArrayAttrMetaAst::default() + }, + }], + tile_extents: vec![2], + georef: None, + }; + let agg = |reducer, physical| ArrayAggPlan { + name: "img".into(), + attr: "red".into(), + reducer, + group_by_dim: Some("x".into()), + slice: ArraySliceAst::default(), + zone: None, + temporal: TemporalScope::default(), + physical, + }; + let hist = array_agg_columns( + &view, + &agg( + ArrayReducerAst::Histogram { + bins: 4, + lo: 0.0, + hi: 1.0, + }, + false, + ), + ) + .expect("answerable"); + let names: Vec<&str> = hist.iter().map(|c| c.name.as_str()).collect(); + assert_eq!(names, ["group", "bin_lo", "bin_hi", "count"]); + let raw_max = array_agg_columns(&view, &agg(ArrayReducerAst::Max, false)).expect("max"); + assert_eq!(raw_max[1].int_width, Some(IntWidth::I32)); + let physical_max = + array_agg_columns(&view, &agg(ArrayReducerAst::Max, true)).expect("physical max"); + assert_eq!(physical_max[1].data_type, SqlDataType::Float64); + let mode = array_agg_columns(&view, &agg(ArrayReducerAst::Mode, false)).expect("mode"); + assert_eq!(mode[1].int_width, Some(IntWidth::I32)); + let median = array_agg_columns(&view, &agg(ArrayReducerAst::Median, false)).expect("med"); + assert_eq!(median[1].data_type, SqlDataType::Float64); + + let physical = array_relation_columns(&view, &[], true); + assert_eq!(physical[1].data_type, SqlDataType::Float64); + assert!(physical[1].nullable, "a nodata cell reads as NULL"); + let raw = array_relation_columns(&view, &[], false); + assert_eq!(raw[1].int_width, Some(IntWidth::I32)); + assert!(!raw[1].nullable); + } + #[test] fn non_numeric_attrs_refuse_numeric_reducers() { for attr in [ArrayAttrType::String, ArrayAttrType::Bytes] { @@ -434,6 +553,9 @@ mod tests { ArrayReducerAst::Mean, ArrayReducerAst::Min, ArrayReducerAst::Max, + ArrayReducerAst::Median, + ArrayReducerAst::Mode, + ArrayReducerAst::VarPop, ] { match agg_result_column(reducer, "label", attr) { Err(SqlError::TypeMismatch { detail }) => { diff --git a/nodedb-sql/src/temporal.rs b/nodedb-sql/src/temporal.rs index dcd0ff331..00ebfbac5 100644 --- a/nodedb-sql/src/temporal.rs +++ b/nodedb-sql/src/temporal.rs @@ -9,8 +9,9 @@ //! statement, threaded through `plan_sql` into each `SqlPlan::Scan`, and //! finally honored by the engine's Data Plane handler. //! -//! All timestamps are **milliseconds since Unix epoch**. The edge store -//! converts to HLC ordinal via `nodedb_types::ms_to_ordinal_upper`. A +//! All timestamps are **milliseconds since Unix epoch**. The edge store and +//! the document versioned store key versions by system-time ordinal, so a +//! system-time cut converts via `nodedb_types::ms_to_ordinal_upper`. A //! `TemporalScope::default()` value is equivalent to "current state" //! (no temporal qualifier) — every scan site must construct one even when //! the query is not temporal. diff --git a/nodedb-sql/src/types/collection.rs b/nodedb-sql/src/types/collection.rs index ffa202ce2..1f3261ba9 100644 --- a/nodedb-sql/src/types/collection.rs +++ b/nodedb-sql/src/types/collection.rs @@ -19,7 +19,7 @@ pub struct CollectionInfo { /// choosing an index lookup — only `Ready` indexes back query rewrites. pub indexes: Vec, /// When `true`, this collection stores every write as an immutable - /// version keyed by `system_from_ms`. Enables `FOR SYSTEM_TIME AS OF` + /// version keyed by its system time. Enables `FOR SYSTEM_TIME AS OF` /// and `FOR VALID_TIME` queries. Only meaningful for document engines /// today; other engines ignore this flag. pub bitemporal: bool, diff --git a/nodedb-sql/src/types/plan/variants/array.rs b/nodedb-sql/src/types/plan/variants/array.rs index ad68f5573..3ff0a1127 100644 --- a/nodedb-sql/src/types/plan/variants/array.rs +++ b/nodedb-sql/src/types/plan/variants/array.rs @@ -35,6 +35,8 @@ pub struct AlterArrayPlan { pub minimum_audit_retain_ms: Option, /// Georef change. `None` = georef unchanged. pub georef: Option, + /// Attr metadata change. `None` = every attr's metadata unchanged. + pub attr_meta: Option, } /// Payload of [`SqlPlan::InsertArray`](crate::types::SqlPlan::InsertArray). @@ -66,6 +68,9 @@ pub struct ArraySlicePlan { /// Plane returns the live (current) state — the default fast path. /// Populated from `AS OF SYSTEM TIME` / `AS OF VALID TIME` clauses. pub temporal: TemporalScope, + /// `physical => true`: a nodata cell reads as NULL, and a numeric cell + /// of an attr with a scale or offset as `raw * scale + offset`. + pub physical: bool, } /// Payload of [`SqlPlan::ArrayAgg`](crate::types::SqlPlan::ArrayAgg). @@ -84,6 +89,9 @@ pub struct ArrayAggPlan { /// Plane aggregates against the live (current) state — the default /// fast path. Populated from `AS OF SYSTEM TIME` / `AS OF VALID TIME`. pub temporal: TemporalScope, + /// `physical => true`: reduce `raw * scale + offset` for an attr with a + /// scale or offset. A nodata cell never contributes, either way. + pub physical: bool, } /// Payload of [`SqlPlan::ArrayElementwise`](crate::types::SqlPlan::ArrayElementwise). diff --git a/nodedb-sql/src/types/query.rs b/nodedb-sql/src/types/query.rs index f6a3aaf28..7b1c88a11 100644 --- a/nodedb-sql/src/types/query.rs +++ b/nodedb-sql/src/types/query.rs @@ -53,6 +53,7 @@ impl JoinType { #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub enum SpatialPredicate { DWithin, + DWithin3D, Contains, Intersects, Within, diff --git a/nodedb-sql/src/types_array.rs b/nodedb-sql/src/types_array.rs deleted file mode 100644 index 2ef706ab7..000000000 --- a/nodedb-sql/src/types_array.rs +++ /dev/null @@ -1,273 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! Engine-agnostic AST shapes for array DDL/DML carried on `SqlPlan`. -//! -//! Kept free of any dependency on `nodedb-array` so the SQL crate stays -//! lean. The Origin-side SqlPlan→PhysicalPlan converter is responsible -//! for translating these into typed `nodedb_array::ArraySchema` and -//! engine-typed coord/cell values before crossing the bridge. - -/// Dimension type tag (mirrors `nodedb_array::schema::DimType`). -#[derive(Debug, Clone, Copy, PartialEq, Eq)] -pub enum ArrayDimType { - Int64, - Float64, - TimestampMs, - String, -} - -/// Attribute type tag (mirrors `nodedb_array::schema::AttrType`). -#[derive(Debug, Clone, Copy, PartialEq, Eq)] -pub enum ArrayAttrType { - Int64, - Float64, - String, - Bytes, - UInt8, - Int16, - UInt16, - Int32, - UInt32, - Float32, -} - -impl ArrayAttrType { - /// Whether the type holds integers. - pub fn is_integer(self) -> bool { - match self { - ArrayAttrType::Int64 - | ArrayAttrType::UInt8 - | ArrayAttrType::Int16 - | ArrayAttrType::UInt16 - | ArrayAttrType::Int32 - | ArrayAttrType::UInt32 => true, - ArrayAttrType::Float64 - | ArrayAttrType::Float32 - | ArrayAttrType::String - | ArrayAttrType::Bytes => false, - } - } - - /// Whether the type holds floats. - pub fn is_float(self) -> bool { - match self { - ArrayAttrType::Float64 | ArrayAttrType::Float32 => true, - ArrayAttrType::Int64 - | ArrayAttrType::UInt8 - | ArrayAttrType::Int16 - | ArrayAttrType::UInt16 - | ArrayAttrType::Int32 - | ArrayAttrType::UInt32 - | ArrayAttrType::String - | ArrayAttrType::Bytes => false, - } - } - - /// The canonical DDL name of the type. - pub fn sql_name(self) -> &'static str { - match self { - ArrayAttrType::Int64 => "INT64", - ArrayAttrType::Float64 => "FLOAT64", - ArrayAttrType::String => "STRING", - ArrayAttrType::Bytes => "BYTES", - ArrayAttrType::UInt8 => "UINT8", - ArrayAttrType::Int16 => "INT16", - ArrayAttrType::UInt16 => "UINT16", - ArrayAttrType::Int32 => "INT32", - ArrayAttrType::UInt32 => "UINT32", - ArrayAttrType::Float32 => "FLOAT32", - } - } -} - -/// Cell-order strategy AST mirror. -#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)] -pub enum ArrayCellOrderAst { - RowMajor, - ColMajor, - #[default] - Hilbert, - ZOrder, -} - -/// Tile-order strategy AST mirror. -#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)] -pub enum ArrayTileOrderAst { - RowMajor, - ColMajor, - #[default] - Hilbert, - ZOrder, -} - -/// Domain bound carrying its dim's type tag. -#[derive(Debug, Clone, PartialEq)] -pub enum ArrayDomainBound { - Int64(i64), - Float64(f64), - TimestampMs(i64), - String(String), -} - -/// One dim spec in `CREATE ARRAY ... DIMS (...)`. -#[derive(Debug, Clone, PartialEq)] -pub struct ArrayDimAst { - pub name: String, - pub dtype: ArrayDimType, - pub lo: ArrayDomainBound, - pub hi: ArrayDomainBound, -} - -/// One attribute spec in `CREATE ARRAY ... ATTRS (...)`. -#[derive(Debug, Clone, PartialEq)] -pub struct ArrayAttrAst { - pub name: String, - pub dtype: ArrayAttrType, - pub nullable: bool, -} - -/// One coord scalar in `INSERT INTO ARRAY ... COORDS (...)` — a literal -/// value typed loosely; the converter coerces against the schema's -/// declared dim type. -#[derive(Debug, Clone, PartialEq)] -pub enum ArrayCoordLiteral { - Int64(i64), - Float64(f64), - String(String), -} - -/// One attribute literal in `... VALUES (...)`. `Null` permitted only -/// for nullable attrs (validated in the converter). -#[derive(Debug, Clone, PartialEq)] -pub enum ArrayAttrLiteral { - Int64(i64), - Float64(f64), - String(String), - Bytes(Vec), - Null, -} - -/// One row of an `INSERT INTO ARRAY ...`: `COORDS (...) VALUES (...)`. -#[derive(Debug, Clone, PartialEq)] -pub struct ArrayInsertRow { - pub coords: Vec, - pub attrs: Vec, -} - -/// One named `dim: [lo, hi]` entry in a slice predicate. -/// -/// The literal type is loose at planning time; the converter coerces -/// against the array's declared dim dtype before encoding to wire. -#[derive(Debug, Clone, PartialEq)] -pub struct NamedDimRange { - /// Schema dim name. Resolved to a positional index by the converter. - pub dim: String, - pub lo: ArrayCoordLiteral, - pub hi: ArrayCoordLiteral, -} - -/// `ARRAY_SLICE(...)` slice predicate: an unordered set of named -/// dim ranges, expanded to per-position `Option` by the -/// converter (unconstrained dims become `None`). -#[derive(Debug, Clone, Default, PartialEq)] -pub struct ArraySliceAst { - pub dim_ranges: Vec, -} - -/// `ARRAY_AGG(...)` / `ARRAY_SLICE(...)` polygon zone over two numeric dims. -/// -/// `polygons` holds one entry per member polygon: its exterior ring, then -/// its holes. Each ring is closed and lists `[x, y]` positions, `x` on -/// `x_dim` and `y` on `y_dim`. -/// -/// `srid: None` means the positions are dim coordinates. `Some` means they -/// are in that SRID, and `x_dim` / `y_dim` are the array's GEOREF axes. -#[derive(Debug, Clone, PartialEq)] -pub struct ArrayZoneAst { - pub polygons: Vec>>, - pub x_dim: String, - pub y_dim: String, - pub srid: Option, -} - -/// `GEOREF (SRID n, X dim, Y dim [, TRANSFORM (gt0, .., gt5)])` clause. -/// -/// `transform: None` means the dims hold pixel-centre world coordinates. -/// `Some` means the dims hold `INT64` pixel indices and the six -/// coefficients map them to world coordinates in GDAL order. -#[derive(Debug, Clone, PartialEq)] -pub struct ArrayGeorefAst { - pub srid: u32, - pub x_dim: String, - pub y_dim: String, - pub transform: Option<[f64; 6]>, -} - -/// Georef change carried by `ALTER ARRAY`. -#[derive(Debug, Clone, PartialEq)] -pub enum ArrayGeorefAlter { - /// `SET GEOREF (...)`: install or replace the georef. - Set(ArrayGeorefAst), - /// `DROP GEOREF`: remove the georef. - Drop, -} - -/// Reducer carried on `SqlPlan::ArrayAgg`. Mirrors -/// `crate::bridge::physical_plan::ArrayReducer` without the bridge dep. -#[derive(Debug, Clone, Copy, PartialEq, Eq)] -pub enum ArrayReducerAst { - Sum, - Count, - Min, - Max, - Mean, -} - -impl ArrayReducerAst { - /// Parse the SQL-surface string ('sum', 'count', ...). Returns `None` - /// for any other value so the planner can surface an `Unsupported` - /// error with the offending token. - pub fn parse(s: &str) -> Option { - match s.to_ascii_lowercase().as_str() { - "sum" => Some(ArrayReducerAst::Sum), - "count" => Some(ArrayReducerAst::Count), - "min" => Some(ArrayReducerAst::Min), - "max" => Some(ArrayReducerAst::Max), - "mean" | "avg" => Some(ArrayReducerAst::Mean), - _ => None, - } - } - - /// The uppercase SQL name of the reducer. - pub fn sql_name(self) -> &'static str { - match self { - ArrayReducerAst::Sum => "SUM", - ArrayReducerAst::Count => "COUNT", - ArrayReducerAst::Min => "MIN", - ArrayReducerAst::Max => "MAX", - ArrayReducerAst::Mean => "MEAN", - } - } -} - -/// Pairwise op carried on `SqlPlan::ArrayElementwise`. Mirrors -/// `crate::bridge::physical_plan::ArrayBinaryOp`. -#[derive(Debug, Clone, Copy, PartialEq, Eq)] -pub enum ArrayBinaryOpAst { - Add, - Sub, - Mul, - Div, -} - -impl ArrayBinaryOpAst { - pub fn parse(s: &str) -> Option { - match s.to_ascii_lowercase().as_str() { - "add" | "+" => Some(ArrayBinaryOpAst::Add), - "sub" | "-" => Some(ArrayBinaryOpAst::Sub), - "mul" | "*" => Some(ArrayBinaryOpAst::Mul), - "div" | "/" => Some(ArrayBinaryOpAst::Div), - _ => None, - } - } -} diff --git a/nodedb-sql/src/types_array/attr.rs b/nodedb-sql/src/types_array/attr.rs new file mode 100644 index 000000000..efd33d27f --- /dev/null +++ b/nodedb-sql/src/types_array/attr.rs @@ -0,0 +1,120 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Attr specs and their reading metadata. + +use super::schema::ArrayAttrType; + +/// One attribute spec in `CREATE ARRAY ... ATTRS (...)`. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayAttrAst { + pub name: String, + pub dtype: ArrayAttrType, + pub nullable: bool, + /// `NODATA`, `SCALE`, `OFFSET` and `UNITS`. + pub meta: ArrayAttrMetaAst, +} + +/// Reading metadata of one attr (mirrors `nodedb_array::schema::AttrMeta`). +/// +/// A stored cell holds the raw value. A physical read gives +/// `raw * scale + offset`, and a cell equal to `nodata` holds no data. +#[derive(Debug, Clone, Default, PartialEq)] +pub struct ArrayAttrMetaAst { + pub nodata: Option, + pub scale: Option, + pub offset: Option, + pub units: Option, +} + +impl ArrayAttrMetaAst { + /// Whether a physical read changes a numeric cell's value. + pub fn has_transform(&self) -> bool { + self.scale.is_some() || self.offset.is_some() + } +} + +/// One metadata field of an attr, as `DROP` names it. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ArrayAttrMetaKey { + Nodata, + Scale, + Offset, + Units, +} + +impl ArrayAttrMetaKey { + /// The DDL keyword. + pub fn sql_name(self) -> &'static str { + match self { + ArrayAttrMetaKey::Nodata => "NODATA", + ArrayAttrMetaKey::Scale => "SCALE", + ArrayAttrMetaKey::Offset => "OFFSET", + ArrayAttrMetaKey::Units => "UNITS", + } + } + + /// Whether `meta` holds this field. + pub fn is_set(self, meta: &ArrayAttrMetaAst) -> bool { + match self { + ArrayAttrMetaKey::Nodata => meta.nodata.is_some(), + ArrayAttrMetaKey::Scale => meta.scale.is_some(), + ArrayAttrMetaKey::Offset => meta.offset.is_some(), + ArrayAttrMetaKey::Units => meta.units.is_some(), + } + } + + /// Clear this field of `meta`. + pub fn clear(self, meta: &mut ArrayAttrMetaAst) { + match self { + ArrayAttrMetaKey::Nodata => meta.nodata = None, + ArrayAttrMetaKey::Scale => meta.scale = None, + ArrayAttrMetaKey::Offset => meta.offset = None, + ArrayAttrMetaKey::Units => meta.units = None, + } + } +} + +/// `ALTER ARRAY a ALTER ATTR SET (...)` or `... DROP , ...`. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayAttrMetaAlter { + pub attr: String, + pub change: ArrayAttrMetaChange, +} + +/// The change an attr-metadata `ALTER` makes. +#[derive(Debug, Clone, PartialEq)] +pub enum ArrayAttrMetaChange { + /// Set each given field. A field the clause omits keeps its value. + Set(ArrayAttrMetaAst), + /// Remove each named field. Each must be set. + Drop(Vec), +} + +impl ArrayAttrMetaChange { + /// `current` with this change applied. + pub fn apply(&self, current: &ArrayAttrMetaAst) -> ArrayAttrMetaAst { + let mut out = current.clone(); + match self { + ArrayAttrMetaChange::Set(set) => { + if set.nodata.is_some() { + out.nodata = set.nodata; + } + if set.scale.is_some() { + out.scale = set.scale; + } + if set.offset.is_some() { + out.offset = set.offset; + } + if set.units.is_some() { + out.units = set.units.clone(); + } + } + ArrayAttrMetaChange::Drop(keys) => { + for key in keys { + key.clear(&mut out); + } + } + } + out + } +} diff --git a/nodedb-sql/src/types_array/mod.rs b/nodedb-sql/src/types_array/mod.rs new file mode 100644 index 000000000..f20c6c3ea --- /dev/null +++ b/nodedb-sql/src/types_array/mod.rs @@ -0,0 +1,26 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Engine-agnostic AST shapes for array DDL/DML carried on `SqlPlan`. +//! +//! Kept free of any dependency on `nodedb-array` so the SQL crate stays +//! lean. The Origin-side SqlPlan→PhysicalPlan converter is responsible +//! for translating these into typed `nodedb_array::ArraySchema` and +//! engine-typed coord/cell values before crossing the bridge. + +pub mod attr; +pub mod ops; +pub mod query; +pub mod schema; + +pub use attr::{ + ArrayAttrAst, ArrayAttrMetaAlter, ArrayAttrMetaAst, ArrayAttrMetaChange, ArrayAttrMetaKey, +}; +pub use ops::{ArrayBinaryOpAst, ArrayReducerAst, ArrayReducerName}; +pub use query::{ + ArrayAttrLiteral, ArrayCoordLiteral, ArrayGeorefAlter, ArrayGeorefAst, ArrayInsertRow, + ArraySliceAst, ArrayZoneAst, NamedDimRange, +}; +pub use schema::{ + ArrayAttrType, ArrayCellOrderAst, ArrayDimAst, ArrayDimType, ArrayDomainBound, + ArrayTileOrderAst, +}; diff --git a/nodedb-sql/src/types_array/ops.rs b/nodedb-sql/src/types_array/ops.rs new file mode 100644 index 000000000..db0d4a4d3 --- /dev/null +++ b/nodedb-sql/src/types_array/ops.rs @@ -0,0 +1,117 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Reducers and pairwise ops carried on array plans. + +/// Reducer carried on `SqlPlan::ArrayAgg`. Mirrors +/// `nodedb_physical::physical_plan::ArrayReducer` without the dependency. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum ArrayReducerAst { + Sum, + Count, + Min, + Max, + Mean, + Median, + /// Exact percentile, `0 <= p <= 1`. + Percentile(f64), + StdDevPop, + StdDevSamp, + VarPop, + VarSamp, + Mode, + /// Fixed-width bins over `[lo, hi]`. + Histogram { + bins: u32, + lo: f64, + hi: f64, + }, +} + +/// A reducer name of the SQL surface, before its named arguments. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ArrayReducerName { + Sum, + Count, + Min, + Max, + Mean, + Median, + Percentile, + StdDevPop, + StdDevSamp, + VarPop, + VarSamp, + Mode, + Histogram, +} + +impl ArrayReducerName { + /// Every reducer name the SQL surface accepts, for error messages. + pub const ACCEPTED: &'static str = "sum, count, min, max, mean (avg), median, percentile, \ + stddev (stddev_samp), stddev_pop, variance (var_samp), var_pop, mode, histogram"; + + /// Parse the reducer string (`'sum'`, `'stddev_pop'`, ...). `stddev` + /// and `variance` are the sample forms, as in PostgreSQL. `None` for + /// any other value. + pub fn parse(s: &str) -> Option { + Some(match s.to_ascii_lowercase().as_str() { + "sum" => ArrayReducerName::Sum, + "count" => ArrayReducerName::Count, + "min" => ArrayReducerName::Min, + "max" => ArrayReducerName::Max, + "mean" | "avg" => ArrayReducerName::Mean, + "median" => ArrayReducerName::Median, + "percentile" | "percentile_cont" => ArrayReducerName::Percentile, + "stddev" | "stddev_samp" => ArrayReducerName::StdDevSamp, + "stddev_pop" => ArrayReducerName::StdDevPop, + "variance" | "var_samp" => ArrayReducerName::VarSamp, + "var_pop" => ArrayReducerName::VarPop, + "mode" => ArrayReducerName::Mode, + "histogram" => ArrayReducerName::Histogram, + _ => return None, + }) + } +} + +impl ArrayReducerAst { + /// The uppercase SQL name of the reducer. + pub fn sql_name(self) -> &'static str { + match self { + ArrayReducerAst::Sum => "SUM", + ArrayReducerAst::Count => "COUNT", + ArrayReducerAst::Min => "MIN", + ArrayReducerAst::Max => "MAX", + ArrayReducerAst::Mean => "MEAN", + ArrayReducerAst::Median => "MEDIAN", + ArrayReducerAst::Percentile(_) => "PERCENTILE", + ArrayReducerAst::StdDevPop => "STDDEV_POP", + ArrayReducerAst::StdDevSamp => "STDDEV_SAMP", + ArrayReducerAst::VarPop => "VAR_POP", + ArrayReducerAst::VarSamp => "VAR_SAMP", + ArrayReducerAst::Mode => "MODE", + ArrayReducerAst::Histogram { .. } => "HISTOGRAM", + } + } +} + +/// Pairwise op carried on `SqlPlan::ArrayElementwise`. Mirrors +/// `crate::bridge::physical_plan::ArrayBinaryOp`. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ArrayBinaryOpAst { + Add, + Sub, + Mul, + Div, +} + +impl ArrayBinaryOpAst { + pub fn parse(s: &str) -> Option { + match s.to_ascii_lowercase().as_str() { + "add" | "+" => Some(ArrayBinaryOpAst::Add), + "sub" | "-" => Some(ArrayBinaryOpAst::Sub), + "mul" | "*" => Some(ArrayBinaryOpAst::Mul), + "div" | "/" => Some(ArrayBinaryOpAst::Div), + _ => None, + } + } +} diff --git a/nodedb-sql/src/types_array/query.rs b/nodedb-sql/src/types_array/query.rs new file mode 100644 index 000000000..32d9958f9 --- /dev/null +++ b/nodedb-sql/src/types_array/query.rs @@ -0,0 +1,89 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Literals, slice boxes, zones and georefs carried on array plans. + +/// One coord scalar in `INSERT INTO ARRAY ... COORDS (...)` — a literal +/// value typed loosely; the converter coerces against the schema's +/// declared dim type. +#[derive(Debug, Clone, PartialEq)] +pub enum ArrayCoordLiteral { + Int64(i64), + Float64(f64), + String(String), +} + +/// One attribute literal in `... VALUES (...)`. `Null` permitted only +/// for nullable attrs (validated in the converter). +#[derive(Debug, Clone, PartialEq)] +pub enum ArrayAttrLiteral { + Int64(i64), + Float64(f64), + String(String), + Bytes(Vec), + Null, +} + +/// One row of an `INSERT INTO ARRAY ...`: `COORDS (...) VALUES (...)`. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayInsertRow { + pub coords: Vec, + pub attrs: Vec, +} + +/// One named `dim: [lo, hi]` entry in a slice predicate. +/// +/// The literal type is loose at planning time; the converter coerces +/// against the array's declared dim dtype before encoding to wire. +#[derive(Debug, Clone, PartialEq)] +pub struct NamedDimRange { + /// Schema dim name. Resolved to a positional index by the converter. + pub dim: String, + pub lo: ArrayCoordLiteral, + pub hi: ArrayCoordLiteral, +} + +/// `ARRAY_SLICE(...)` slice predicate: an unordered set of named +/// dim ranges, expanded to per-position `Option` by the +/// converter (unconstrained dims become `None`). +#[derive(Debug, Clone, Default, PartialEq)] +pub struct ArraySliceAst { + pub dim_ranges: Vec, +} + +/// `ARRAY_AGG(...)` / `ARRAY_SLICE(...)` polygon zone over two numeric dims. +/// +/// `polygons` holds one entry per member polygon: its exterior ring, then +/// its holes. Each ring is closed and lists `[x, y]` positions, `x` on +/// `x_dim` and `y` on `y_dim`. +/// +/// `srid: None` means the positions are dim coordinates. `Some` means they +/// are in that SRID, and `x_dim` / `y_dim` are the array's GEOREF axes. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayZoneAst { + pub polygons: Vec>>, + pub x_dim: String, + pub y_dim: String, + pub srid: Option, +} + +/// `GEOREF (SRID n, X dim, Y dim [, TRANSFORM (gt0, .., gt5)])` clause. +/// +/// `transform: None` means the dims hold pixel-centre world coordinates. +/// `Some` means the dims hold `INT64` pixel indices and the six +/// coefficients map them to world coordinates in GDAL order. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayGeorefAst { + pub srid: u32, + pub x_dim: String, + pub y_dim: String, + pub transform: Option<[f64; 6]>, +} + +/// Georef change carried by `ALTER ARRAY`. +#[derive(Debug, Clone, PartialEq)] +pub enum ArrayGeorefAlter { + /// `SET GEOREF (...)`: install or replace the georef. + Set(ArrayGeorefAst), + /// `DROP GEOREF`: remove the georef. + Drop, +} diff --git a/nodedb-sql/src/types_array/schema.rs b/nodedb-sql/src/types_array/schema.rs new file mode 100644 index 000000000..690e88dd2 --- /dev/null +++ b/nodedb-sql/src/types_array/schema.rs @@ -0,0 +1,120 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Dim, attr type, order and bound shapes of `CREATE ARRAY`. + +/// Dimension type tag (mirrors `nodedb_array::schema::DimType`). +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ArrayDimType { + Int64, + Float64, + TimestampMs, + String, +} + +/// Attribute type tag (mirrors `nodedb_array::schema::AttrType`). +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum ArrayAttrType { + Int64, + Float64, + String, + Bytes, + UInt8, + Int16, + UInt16, + Int32, + UInt32, + Float32, + /// 1-byte signed integer. The array DDL names integer widths in bits, + /// so `INT8` here is one byte, not PostgreSQL's 8-byte `int8`. + Int8, +} + +impl ArrayAttrType { + /// Whether the type holds integers. + pub fn is_integer(self) -> bool { + match self { + ArrayAttrType::Int64 + | ArrayAttrType::Int8 + | ArrayAttrType::UInt8 + | ArrayAttrType::Int16 + | ArrayAttrType::UInt16 + | ArrayAttrType::Int32 + | ArrayAttrType::UInt32 => true, + ArrayAttrType::Float64 + | ArrayAttrType::Float32 + | ArrayAttrType::String + | ArrayAttrType::Bytes => false, + } + } + + /// Whether the type holds floats. + pub fn is_float(self) -> bool { + match self { + ArrayAttrType::Float64 | ArrayAttrType::Float32 => true, + ArrayAttrType::Int64 + | ArrayAttrType::Int8 + | ArrayAttrType::UInt8 + | ArrayAttrType::Int16 + | ArrayAttrType::UInt16 + | ArrayAttrType::Int32 + | ArrayAttrType::UInt32 + | ArrayAttrType::String + | ArrayAttrType::Bytes => false, + } + } + + /// The canonical DDL name of the type. + pub fn sql_name(self) -> &'static str { + match self { + ArrayAttrType::Int64 => "INT64", + ArrayAttrType::Float64 => "FLOAT64", + ArrayAttrType::String => "STRING", + ArrayAttrType::Bytes => "BYTES", + ArrayAttrType::UInt8 => "UINT8", + ArrayAttrType::Int16 => "INT16", + ArrayAttrType::UInt16 => "UINT16", + ArrayAttrType::Int32 => "INT32", + ArrayAttrType::UInt32 => "UINT32", + ArrayAttrType::Float32 => "FLOAT32", + ArrayAttrType::Int8 => "INT8", + } + } +} + +/// Cell-order strategy AST mirror. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)] +pub enum ArrayCellOrderAst { + RowMajor, + ColMajor, + #[default] + Hilbert, + ZOrder, +} + +/// Tile-order strategy AST mirror. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)] +pub enum ArrayTileOrderAst { + RowMajor, + ColMajor, + #[default] + Hilbert, + ZOrder, +} + +/// Domain bound carrying its dim's type tag. +#[derive(Debug, Clone, PartialEq)] +pub enum ArrayDomainBound { + Int64(i64), + Float64(f64), + TimestampMs(i64), + String(String), +} + +/// One dim spec in `CREATE ARRAY ... DIMS (...)`. +#[derive(Debug, Clone, PartialEq)] +pub struct ArrayDimAst { + pub name: String, + pub dtype: ArrayDimType, + pub lo: ArrayDomainBound, + pub hi: ArrayDomainBound, +} diff --git a/nodedb-sql/src/types_expr.rs b/nodedb-sql/src/types_expr.rs index 9e5c65004..60cdfdc6b 100644 --- a/nodedb-sql/src/types_expr.rs +++ b/nodedb-sql/src/types_expr.rs @@ -26,6 +26,9 @@ pub enum SqlValue { Timestamp(NdbDateTime), /// Typed timezone-aware timestamp literal: `TIMESTAMPTZ '...'` or `'...'::TIMESTAMPTZ`. Timestamptz(NdbDateTime), + /// A geometry: what a geometry-returning call folds to. Carries its + /// SRID, Z and M. + Geometry(nodedb_types::geometry::SridGeometry), } /// SQL-side payload-bitmap predicate atom. Mirrors `nodedb_types::PayloadAtom` diff --git a/nodedb-sql/src/visitor/plan_visitor/args.rs b/nodedb-sql/src/visitor/plan_visitor/args.rs index 249176b1f..f57e80078 100644 --- a/nodedb-sql/src/visitor/plan_visitor/args.rs +++ b/nodedb-sql/src/visitor/plan_visitor/args.rs @@ -17,8 +17,8 @@ use crate::types::query::{ AggregateExpr, EngineType, JoinType, Projection, SortKey, SpatialPredicate, WindowSpec, }; use crate::types_array::{ - ArrayAttrAst, ArrayCellOrderAst, ArrayDimAst, ArrayGeorefAlter, ArrayGeorefAst, - ArrayReducerAst, ArraySliceAst, ArrayTileOrderAst, ArrayZoneAst, + ArrayAttrAst, ArrayAttrMetaAlter, ArrayCellOrderAst, ArrayDimAst, ArrayGeorefAlter, + ArrayGeorefAst, ArrayReducerAst, ArraySliceAst, ArrayTileOrderAst, ArrayZoneAst, }; use crate::types_expr::{SqlExpr, SqlPayloadAtom, SqlValue}; use nodedb_types::vector_distance::DistanceMetric; @@ -273,6 +273,8 @@ pub struct AlterArrayVisitArgs<'a> { pub minimum_audit_retain_ms: Option, /// Georef change. `None` = georef unchanged. pub georef: Option<&'a ArrayGeorefAlter>, + /// Attr metadata change. `None` = unchanged. + pub attr_meta: Option<&'a ArrayAttrMetaAlter>, } /// Parameters for [`super::trait_def::PlanVisitor::array_slice`]. @@ -287,6 +289,8 @@ pub struct ArraySliceVisitArgs<'a> { /// Polygon zone inside the box. `None` = the whole box. pub zone: Option<&'a ArrayZoneAst>, pub temporal: &'a TemporalScope, + /// Read attrs physically. + pub physical: bool, } /// Parameters for [`super::trait_def::PlanVisitor::array_agg`]. @@ -300,6 +304,8 @@ pub struct ArrayAggVisitArgs<'a> { /// Polygon zone inside the box. `None` = the whole box. pub zone: Option<&'a ArrayZoneAst>, pub temporal: &'a TemporalScope, + /// Reduce physical values. + pub physical: bool, } /// Parameters for [`super::trait_def::PlanVisitor::merge`]. diff --git a/nodedb-sql/src/visitor/plan_visitor/dispatch_rest.rs b/nodedb-sql/src/visitor/plan_visitor/dispatch_rest.rs index feb5be807..ac8df1616 100644 --- a/nodedb-sql/src/visitor/plan_visitor/dispatch_rest.rs +++ b/nodedb-sql/src/visitor/plan_visitor/dispatch_rest.rs @@ -78,11 +78,13 @@ pub(super) fn dispatch_rest( audit_retain_ms, minimum_audit_retain_ms, georef, + attr_meta, }) => visitor.alter_array(AlterArrayVisitArgs { name, audit_retain_ms: *audit_retain_ms, minimum_audit_retain_ms: *minimum_audit_retain_ms, georef: georef.as_ref(), + attr_meta: attr_meta.as_ref(), }), SqlPlan::InsertArray(InsertArrayPlan { name, rows }) => visitor.insert_array(name, rows), SqlPlan::DeleteArray(DeleteArrayPlan { name, coords }) => { @@ -95,6 +97,7 @@ pub(super) fn dispatch_rest( limit, zone, temporal, + physical, }) => visitor.array_slice(ArraySliceVisitArgs { name, slice, @@ -102,6 +105,7 @@ pub(super) fn dispatch_rest( limit: *limit, zone: zone.as_ref(), temporal, + physical: *physical, }), SqlPlan::ArrayAgg(ArrayAggPlan { name, @@ -111,6 +115,7 @@ pub(super) fn dispatch_rest( slice, zone, temporal, + physical, }) => visitor.array_agg(ArrayAggVisitArgs { name, attr, @@ -119,6 +124,7 @@ pub(super) fn dispatch_rest( slice, zone: zone.as_ref(), temporal, + physical: *physical, }), SqlPlan::ArrayElementwise(ArrayElementwisePlan { left, diff --git a/nodedb-srid/Cargo.toml b/nodedb-srid/Cargo.toml new file mode 100644 index 000000000..87e985bb7 --- /dev/null +++ b/nodedb-srid/Cargo.toml @@ -0,0 +1,21 @@ +[package] +name = "nodedb-srid" +description = "Spatial reference system identifiers for NodeDB: SRID codes, CRS names and the resolver trait" +version.workspace = true +edition.workspace = true +rust-version.workspace = true +license = "Apache-2.0" +authors = ["Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors"] +repository.workspace = true +homepage.workspace = true +documentation = "https://docs.rs/nodedb-srid" +keywords = ["crs", "srid", "epsg", "geospatial"] +categories = ["science::geo"] + +[features] +default = [] + +[dependencies] +thiserror = { workspace = true } +serde = { workspace = true } +zerompk = { workspace = true } diff --git a/nodedb-srid/NOTICE b/nodedb-srid/NOTICE new file mode 100644 index 000000000..4bf4bfc89 --- /dev/null +++ b/nodedb-srid/NOTICE @@ -0,0 +1,2 @@ +Copyright 2026 Biz Impulse Solutions Sdn. Bhd. and the NodeDB contributors. +This product is licensed under the Apache License, Version 2.0. diff --git a/nodedb-srid/src/error.rs b/nodedb-srid/src/error.rs new file mode 100644 index 000000000..06d918859 --- /dev/null +++ b/nodedb-srid/src/error.rs @@ -0,0 +1,96 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Errors for SRID resolution and CRS definition parsing. + +use crate::srid::Srid; + +/// An SRID that does not resolve to a usable CRS. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum UnknownSrid { + /// The code is outside `1..=Srid::MAX_CODE`. + #[error("SRID {code} is outside 1..={max}", max = Srid::MAX_CODE)] + OutOfRange { code: i64 }, + /// No built-in or user-defined CRS has this code. + #[error("SRID {code} is not defined")] + Undefined { code: u32 }, + /// A user-defined CRS with this code was dropped. + #[error("SRID {code} was dropped")] + Dropped { code: u32 }, + /// The CRS name matches no supported naming form. + #[error("unknown CRS name '{name}'")] + UnknownName { name: Box }, + /// A GeoJSON `crs` member that is neither the named form nor the + /// legacy `EPSG` form. + #[error( + "invalid GeoJSON crs member: {reason}; supported: \ + {{\"type\":\"name\",\"properties\":{{\"name\":\"EPSG:\"}}}} or \ + {{\"type\":\"EPSG\",\"properties\":{{\"code\":}}}}" + )] + InvalidCrsMember { reason: Box }, + /// The CRS exists but its definition uses something this build does + /// not implement. + #[error("SRID {code} is not supported: {cause}")] + Unsupported { code: u32, cause: CrsParseError }, +} + +/// A CRS definition text that does not parse. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum CrsParseError { + #[error("unknown parameter '+{key}'")] + UnknownParameter { key: Box }, + #[error("projection method '{method}' is not implemented; implemented: {implemented}")] + UnsupportedMethod { + method: Box, + implemented: &'static str, + }, + #[error("invalid value '{value}' for '+{key}'")] + InvalidValue { key: Box, value: Box }, + #[error("method '{method}' needs '+{key}'")] + Missing { + key: &'static str, + method: &'static str, + }, + #[error("malformed {format} text at byte {offset}")] + Malformed { format: &'static str, offset: usize }, + /// Well-formed text whose content is not a CRS this build reads. + #[error("invalid {format} definition: {detail}")] + Invalid { + format: &'static str, + detail: Box, + }, +} + +impl CrsParseError { + /// An [`CrsParseError::Invalid`] in `format` explaining `detail`. + pub fn content(format: &'static str, detail: impl Into>) -> Self { + CrsParseError::Invalid { + format, + detail: detail.into(), + } + } + + /// An [`CrsParseError::InvalidValue`] naming `key` and `value`. + pub fn invalid(key: &str, value: &str) -> Self { + CrsParseError::InvalidValue { + key: key.into(), + value: value.into(), + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn messages_name_the_input() { + let err = UnknownSrid::Undefined { code: 2154 }; + assert!(err.to_string().contains("2154")); + let err = CrsParseError::invalid("zone", "99"); + assert_eq!(err.to_string(), "invalid value '99' for '+zone'"); + let err = UnknownSrid::InvalidCrsMember { + reason: "type 'link'".into(), + }; + assert!(err.to_string().contains("type 'link'"), "{err}"); + } +} diff --git a/nodedb-srid/src/kind.rs b/nodedb-srid/src/kind.rs new file mode 100644 index 000000000..85620e5ba --- /dev/null +++ b/nodedb-srid/src/kind.rs @@ -0,0 +1,57 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Whether a CRS is geographic or projected. + +use serde::{Deserialize, Serialize}; + +/// Whether coordinates are angles or lengths. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Hash, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum CrsKind { + /// x is longitude and y is latitude, degrees. + Geographic, + /// x is easting and y is northing, in the CRS's linear unit. + Projected, +} + +impl CrsKind { + /// The lower-case name: `geographic` or `projected`. + pub const fn as_str(self) -> &'static str { + match self { + CrsKind::Geographic => "geographic", + CrsKind::Projected => "projected", + } + } + + /// The kind `name` spells, as [`CrsKind::as_str`] writes it. + pub fn from_name(name: &str) -> Option { + match name { + "geographic" => Some(CrsKind::Geographic), + "projected" => Some(CrsKind::Projected), + _ => None, + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn names_round_trip() { + for kind in [CrsKind::Geographic, CrsKind::Projected] { + assert_eq!(CrsKind::from_name(kind.as_str()), Some(kind)); + } + assert_eq!(CrsKind::from_name("Geographic"), None); + } +} diff --git a/nodedb-srid/src/lib.rs b/nodedb-srid/src/lib.rs new file mode 100644 index 000000000..2a10c88ab --- /dev/null +++ b/nodedb-srid/src/lib.rs @@ -0,0 +1,22 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Spatial reference system identifiers for NodeDB. +//! +//! An [`Srid`] names a CRS by code. A [`SridResolver`] answers whether a +//! code or a CRS name is defined, and whether the CRS is geographic or +//! projected. The registry that defines CRSs, its EPSG table and the +//! coordinate transforms live in `nodedb-crs`, which implements the +//! resolver. Crates that only carry SRIDs depend on this crate alone and +//! never link the table. + +pub mod error; +pub mod kind; +pub mod name; +pub mod resolver; +pub mod srid; + +pub use error::{CrsParseError, UnknownSrid}; +pub use kind::CrsKind; +pub use name::{NODEDB_AUTHORITY, code_from_name}; +pub use resolver::SridResolver; +pub use srid::{InvalidSridCode, NotUserSrid, Srid, SridAuthority}; diff --git a/nodedb-srid/src/name.rs b/nodedb-srid/src/name.rs new file mode 100644 index 000000000..130af3f50 --- /dev/null +++ b/nodedb-srid/src/name.rs @@ -0,0 +1,154 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! CRS names: authority codes, OGC URNs and OGC URLs. + +/// NodeDB code of the MODIS sinusoidal grid, SR-ORG:6842. +const MODIS_SINUSOIDAL_CODE: i64 = 990_001; + +/// SR-ORG code of the MODIS sinusoidal grid. +const SR_ORG_MODIS: &str = "6842"; + +/// EPSG code of WGS 84, which OGC CRS84 maps to. CRS84 has longitude +/// first, the axis order NodeDB uses for every geographic CRS. +const WGS84_CODE: i64 = 4326; + +/// Authority of NodeDB's own and user-defined codes. +pub const NODEDB_AUTHORITY: &str = "NODEDB"; + +/// OGC URN prefix, compared without case. +const URN_PREFIX: &str = "urn:ogc:def:crs:"; + +/// OGC URL prefixes, compared without case. +const URL_PREFIXES: [&str; 2] = [ + "http://www.opengis.net/def/crs/", + "https://www.opengis.net/def/crs/", +]; + +/// The numeric code `name` refers to, before any registry check. `None` +/// when the name matches no supported form. +pub fn code_from_name(name: &str) -> Option { + let name = name.trim(); + if let Some(rest) = strip_prefix_ci(name, URN_PREFIX) { + // AUTHORITY:[version]:code + let mut parts = rest.split(':'); + let authority = parts.next()?; + let _version = parts.next()?; + let code = parts.next()?; + if parts.next().is_some() { + return None; + } + return authority_code(authority, code); + } + if let Some(rest) = URL_PREFIXES.iter().find_map(|p| strip_prefix_ci(name, p)) { + // AUTHORITY/version/code + let mut parts = rest.split('/'); + let authority = parts.next()?; + let _version = parts.next()?; + let code = parts.next()?; + if parts.next().is_some_and(|tail| !tail.is_empty()) { + return None; + } + return authority_code(authority, code); + } + if name.eq_ignore_ascii_case("CRS84") { + return Some(WGS84_CODE); + } + let (authority, code) = name.split_once(':')?; + authority_code(authority, code) +} + +/// Map an authority and its code to a NodeDB code. +fn authority_code(authority: &str, code: &str) -> Option { + if authority.eq_ignore_ascii_case("EPSG") || authority.eq_ignore_ascii_case(NODEDB_AUTHORITY) { + decimal(code) + } else if authority.eq_ignore_ascii_case("OGC") { + code.eq_ignore_ascii_case("CRS84").then_some(WGS84_CODE) + } else if authority.eq_ignore_ascii_case("SR-ORG") { + (code == SR_ORG_MODIS).then_some(MODIS_SINUSOIDAL_CODE) + } else { + None + } +} + +/// A non-empty run of ASCII digits as an integer. +fn decimal(text: &str) -> Option { + if text.is_empty() || !text.bytes().all(|b| b.is_ascii_digit()) { + return None; + } + text.parse().ok() +} + +/// `text` without `prefix`, compared without ASCII case. +fn strip_prefix_ci<'a>(text: &'a str, prefix: &str) -> Option<&'a str> { + let head = text.get(..prefix.len())?; + head.eq_ignore_ascii_case(prefix) + .then(|| &text[prefix.len()..]) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn epsg_forms() { + assert_eq!(code_from_name("EPSG:32648"), Some(32648)); + assert_eq!(code_from_name("epsg:4326"), Some(4326)); + assert_eq!(code_from_name("urn:ogc:def:crs:EPSG::3375"), Some(3375)); + assert_eq!( + code_from_name("urn:ogc:def:crs:EPSG:9.8.1:3376"), + Some(3376) + ); + assert_eq!( + code_from_name("http://www.opengis.net/def/crs/EPSG/0/4742"), + Some(4742) + ); + assert_eq!( + code_from_name("https://www.opengis.net/def/crs/EPSG/0/4742"), + Some(4742) + ); + } + + #[test] + fn nodedb_forms() { + assert_eq!(code_from_name("NODEDB:910001"), Some(910_001)); + assert_eq!(code_from_name("nodedb:990001"), Some(990_001)); + assert_eq!( + code_from_name("urn:ogc:def:crs:NODEDB::910002"), + Some(910_002) + ); + } + + #[test] + fn crs84_forms() { + for name in [ + "urn:ogc:def:crs:OGC:1.3:CRS84", + "urn:ogc:def:crs:OGC::CRS84", + "http://www.opengis.net/def/crs/OGC/1.3/CRS84", + "OGC:CRS84", + "CRS84", + ] { + assert_eq!(code_from_name(name), Some(4326), "{name}"); + } + } + + #[test] + fn sr_org_modis() { + assert_eq!(code_from_name("SR-ORG:6842"), Some(990_001)); + assert_eq!(code_from_name("SR-ORG:1"), None); + } + + #[test] + fn refuses_other_forms() { + for name in [ + "", + "4326", + "EPSG:", + "EPSG:-1", + "EPSG:4326x", + "ESRI:102100", + "urn:ogc:def:crs:EPSG:4326", + ] { + assert_eq!(code_from_name(name), None, "{name}"); + } + } +} diff --git a/nodedb-srid/src/resolver.rs b/nodedb-srid/src/resolver.rs new file mode 100644 index 000000000..eaa73fd81 --- /dev/null +++ b/nodedb-srid/src/resolver.rs @@ -0,0 +1,76 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The resolver a crate that carries SRIDs checks them against. + +use crate::error::UnknownSrid; +use crate::kind::CrsKind; +use crate::name::code_from_name; +use crate::srid::Srid; + +/// Answers whether an SRID code or a CRS name is defined, and the kind of +/// a defined CRS. +/// +/// `nodedb-crs` implements it for its per-statement CRS context, so a crate +/// that depends on this crate alone checks SRIDs without linking the EPSG +/// table. +pub trait SridResolver { + /// The SRID of `code`, when a CRS with that code is defined. + fn resolve_u32(&self, code: u32) -> Result; + + /// Whether `srid` is geographic or projected. + fn kind(&self, srid: Srid) -> Result; + + /// The SRID a CRS name refers to: every form [`code_from_name`] + /// accepts, checked with [`SridResolver::resolve_u32`]. + fn resolve_name(&self, name: &str) -> Result { + let code = + code_from_name(name).ok_or_else(|| UnknownSrid::UnknownName { name: name.into() })?; + let code = u32::try_from(code).map_err(|_| UnknownSrid::OutOfRange { code })?; + self.resolve_u32(code) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// Defines EPSG:4326 only. + struct OnlyWgs84; + + impl SridResolver for OnlyWgs84 { + fn resolve_u32(&self, code: u32) -> Result { + let srid = Srid::new(code).map_err(|_| UnknownSrid::OutOfRange { + code: i64::from(code), + })?; + if srid == Srid::WGS84 { + Ok(srid) + } else { + Err(UnknownSrid::Undefined { code }) + } + } + + fn kind(&self, _srid: Srid) -> Result { + Ok(CrsKind::Geographic) + } + } + + #[test] + fn names_resolve_through_the_code_check() { + assert_eq!(OnlyWgs84.resolve_name("EPSG:4326"), Ok(Srid::WGS84)); + assert_eq!(OnlyWgs84.resolve_name("CRS84"), Ok(Srid::WGS84)); + assert_eq!( + OnlyWgs84.resolve_name("EPSG:3857"), + Err(UnknownSrid::Undefined { code: 3857 }) + ); + assert!(matches!( + OnlyWgs84.resolve_name("ESRI:102100"), + Err(UnknownSrid::UnknownName { .. }) + )); + assert_eq!( + OnlyWgs84.resolve_name("EPSG:99999999999"), + Err(UnknownSrid::OutOfRange { + code: 99_999_999_999 + }) + ); + } +} diff --git a/nodedb-srid/src/srid.rs b/nodedb-srid/src/srid.rs new file mode 100644 index 000000000..7f0be5c77 --- /dev/null +++ b/nodedb-srid/src/srid.rs @@ -0,0 +1,255 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Spatial reference system identifiers. + +use core::num::NonZeroU32; + +use serde::{Deserialize, Serialize}; + +/// First code of the NodeDB built-in range. +const NODEDB_FIRST: u32 = 990_000; + +/// Last code of the NodeDB built-in range. +const NODEDB_LAST: u32 = 990_999; + +/// First code above the EPSG range. +const EPSG_END: u32 = 900_000; + +/// A spatial reference system identifier. +/// +/// The code is checked for syntax only: `1..=MAX_CODE`. Whether a CRS with +/// that code exists is a registry question, answered by a +/// [`SridResolver`](crate::SridResolver). Serialized as its numeric code. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, PartialOrd, Ord, Serialize, Deserialize)] +#[serde(into = "u32", try_from = "u32")] +pub struct Srid(NonZeroU32); + +/// Who assigns an SRID code. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] +pub enum SridAuthority { + /// EPSG, codes below 900 000. + Epsg, + /// NodeDB built-ins, codes 990 000 to 990 999. + NodeDb, + /// User-defined CRSs, codes 910 000 to 989 999. + User, + /// Codes no authority assigns: 900 000 to 909 999 and 991 000 to + /// `Srid::MAX_CODE`. + Reserved, +} + +/// A code outside `1..=Srid::MAX_CODE`. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +#[error("SRID code {code} is outside 1..={max}", max = Srid::MAX_CODE)] +pub struct InvalidSridCode { + pub code: u32, +} + +/// A code outside the user-defined range. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +#[error( + "SRID {code} is outside the user range {first}..={last}", + first = Srid::USER_FIRST, + last = Srid::USER_LAST +)] +pub struct NotUserSrid { + pub code: u64, +} + +impl Srid { + /// Largest accepted code. + pub const MAX_CODE: u32 = 998_999; + + /// First code of the user-defined range. + pub const USER_FIRST: u32 = 910_000; + + /// Last code of the user-defined range. + pub const USER_LAST: u32 = 989_999; + + /// EPSG:4326, WGS 84 geographic. + pub const WGS84: Srid = Srid::known(4326); + + /// EPSG:3857, WGS 84 / Pseudo-Mercator, the web map tile grid. + pub const WEB_MERCATOR: Srid = Srid::known(3857); + + /// NodeDB 990001, the MODIS sinusoidal grid (SR-ORG:6842). + pub const MODIS_SINUSOIDAL: Srid = Srid::known(990_001); + + /// NodeDB 990002, the Himawari geostationary view. + pub const HIMAWARI: Srid = Srid::known(990_002); + + /// Check `code` is in `1..=MAX_CODE`. + pub const fn new(code: u32) -> Result { + if code > Self::MAX_CODE { + return Err(InvalidSridCode { code }); + } + match NonZeroU32::new(code) { + Some(n) => Ok(Srid(n)), + None => Err(InvalidSridCode { code }), + } + } + + /// Build an SRID from a code known valid at compile time. Use it in a + /// `const` item only: an invalid code fails the build there. + pub const fn known(code: u32) -> Srid { + match Srid::new(code) { + Ok(srid) => srid, + Err(_) => panic!("SRID constant out of range"), + } + } + + /// Check `code` is in the user-defined range. It takes `u64` so a SQL + /// literal checks without a narrowing step. + pub const fn new_user(code: u64) -> Result { + if code < Self::USER_FIRST as u64 || code > Self::USER_LAST as u64 { + return Err(NotUserSrid { code }); + } + match Srid::new(code as u32) { + Ok(srid) => Ok(srid), + Err(_) => Err(NotUserSrid { code }), + } + } + + /// The numeric code. + pub const fn code(self) -> u32 { + self.0.get() + } + + /// The CRS name of this code: `EPSG:` for an EPSG code, + /// `NODEDB:` for every other. + pub fn crs_name(self) -> String { + match self.authority() { + SridAuthority::Epsg => format!("EPSG:{}", self.code()), + SridAuthority::NodeDb | SridAuthority::User | SridAuthority::Reserved => { + format!("{}:{}", crate::name::NODEDB_AUTHORITY, self.code()) + } + } + } + + /// The authority that assigns this code. + pub const fn authority(self) -> SridAuthority { + match self.code() { + 0..EPSG_END => SridAuthority::Epsg, + Self::USER_FIRST..=Self::USER_LAST => SridAuthority::User, + NODEDB_FIRST..=NODEDB_LAST => SridAuthority::NodeDb, + _ => SridAuthority::Reserved, + } + } +} + +impl Default for Srid { + fn default() -> Self { + Srid::WGS84 + } +} + +impl From for u32 { + fn from(srid: Srid) -> u32 { + srid.code() + } +} + +impl TryFrom for Srid { + type Error = InvalidSridCode; + + fn try_from(code: u32) -> Result { + Srid::new(code) + } +} + +impl core::fmt::Display for Srid { + fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result { + write!(f, "{}", self.code()) + } +} + +impl zerompk::ToMessagePack for Srid { + fn write(&self, writer: &mut W) -> zerompk::Result<()> { + writer.write_u32(self.code()) + } +} + +impl<'a> zerompk::FromMessagePack<'a> for Srid { + fn read>(reader: &mut R) -> zerompk::Result { + let code = reader.read_u32()?; + Srid::new(code).map_err(|e| zerompk::Error::UnknownKey(e.to_string())) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn range_is_one_to_max() { + assert!(Srid::new(0).is_err()); + assert_eq!(Srid::new(1).map(Srid::code), Ok(1)); + assert_eq!( + Srid::new(Srid::MAX_CODE).map(Srid::code), + Ok(Srid::MAX_CODE) + ); + assert_eq!( + Srid::new(Srid::MAX_CODE + 1), + Err(InvalidSridCode { + code: Srid::MAX_CODE + 1 + }) + ); + } + + #[test] + fn user_codes_are_the_user_range() { + assert_eq!( + Srid::new_user(u64::from(Srid::USER_FIRST)).map(Srid::code), + Ok(Srid::USER_FIRST) + ); + assert_eq!( + Srid::new_user(u64::from(Srid::USER_LAST)).map(Srid::code), + Ok(Srid::USER_LAST) + ); + for code in [0, 4326, 909_999, 990_001, 999_999, u64::from(u32::MAX) + 1] { + assert_eq!(Srid::new_user(code), Err(NotUserSrid { code })); + } + assert_eq!( + NotUserSrid { code: 4326 }.to_string(), + "SRID 4326 is outside the user range 910000..=989999" + ); + } + + #[test] + fn authority_by_range() { + let auth = |c: u32| Srid::new(c).map(Srid::authority); + assert_eq!(auth(4326), Ok(SridAuthority::Epsg)); + assert_eq!(auth(899_999), Ok(SridAuthority::Epsg)); + assert_eq!(auth(900_000), Ok(SridAuthority::Reserved)); + assert_eq!(auth(909_999), Ok(SridAuthority::Reserved)); + assert_eq!(auth(910_000), Ok(SridAuthority::User)); + assert_eq!(auth(989_999), Ok(SridAuthority::User)); + assert_eq!(auth(990_000), Ok(SridAuthority::NodeDb)); + assert_eq!(auth(990_999), Ok(SridAuthority::NodeDb)); + assert_eq!(auth(991_000), Ok(SridAuthority::Reserved)); + assert_eq!(auth(Srid::MAX_CODE), Ok(SridAuthority::Reserved)); + } + + #[test] + fn crs_names_follow_the_authority() { + assert_eq!(Srid::WGS84.crs_name(), "EPSG:4326"); + assert_eq!(Srid::MODIS_SINUSOIDAL.crs_name(), "NODEDB:990001"); + assert_eq!(Srid::new(910_001).unwrap().crs_name(), "NODEDB:910001"); + } + + #[test] + fn constants() { + assert_eq!(Srid::WGS84.code(), 4326); + assert_eq!(Srid::default(), Srid::WGS84); + assert_eq!(Srid::MODIS_SINUSOIDAL.authority(), SridAuthority::NodeDb); + } + + #[test] + fn msgpack_round_trip_and_rejects_zero() { + let srid = Srid::new(32648).unwrap(); + let bytes = zerompk::to_msgpack_vec(&srid).unwrap(); + assert_eq!(zerompk::from_msgpack::(&bytes).unwrap(), srid); + let zero = zerompk::to_msgpack_vec(&0u32).unwrap(); + assert!(zerompk::from_msgpack::(&zero).is_err()); + } +} diff --git a/nodedb-strict/Cargo.toml b/nodedb-strict/Cargo.toml index 7bfa0cbc9..4133bbc49 100644 --- a/nodedb-strict/Cargo.toml +++ b/nodedb-strict/Cargo.toml @@ -15,6 +15,7 @@ categories = ["encoding", "data-structures"] [dependencies] nodedb-types = { workspace = true } +nodedb-spatial = { workspace = true } arrow = { workspace = true, features = ["ffi"] } thiserror = { workspace = true } rust_decimal = { workspace = true } diff --git a/nodedb-strict/src/decode.rs b/nodedb-strict/src/decode.rs index 8d26cd20a..2eda3973e 100644 --- a/nodedb-strict/src/decode.rs +++ b/nodedb-strict/src/decode.rs @@ -269,7 +269,7 @@ impl TupleDecoder { column: col.name.clone(), expected: col.column_type, })?; - Ok(decode_variable_value(&col.column_type, raw)) + decode_variable_value(&col.column_type, raw) } } @@ -337,7 +337,7 @@ impl TupleDecoder { } /// Extract the three bitemporal timestamps from a tuple: - /// `(system_from_ms, valid_from_ms, valid_until_ms)`. Only valid for + /// `(system_from, valid_from_ms, valid_until_ms)`. Only valid for /// schemas constructed with `StrictSchema::new_bitemporal`. pub fn extract_bitemporal_timestamps( &self, diff --git a/nodedb-strict/src/decode/value.rs b/nodedb-strict/src/decode/value.rs index 5f62f03fd..c2e6fc1bc 100644 --- a/nodedb-strict/src/decode/value.rs +++ b/nodedb-strict/src/decode/value.rs @@ -7,6 +7,8 @@ use nodedb_types::datetime::NdbDateTime; use nodedb_types::decode_bounds::checked_decode_capacity; use nodedb_types::value::Value; +use crate::error::StrictError; + /// Decode a fixed-size raw byte slice into a value. pub(super) fn decode_fixed_value(col_type: &ColumnType, raw: &[u8]) -> Value { match col_type { @@ -80,19 +82,24 @@ pub(super) fn decode_fixed_value(col_type: &ColumnType, raw: &[u8]) -> Value { } } -/// Decode a variable-length raw byte slice into a value. -pub(super) fn decode_variable_value(col_type: &ColumnType, raw: &[u8]) -> Value { - match col_type { +/// Decode a variable-length raw byte slice into a value. A geometry cell +/// that is not EWKB is [`StrictError::CorruptCell`]. +pub(super) fn decode_variable_value( + col_type: &ColumnType, + raw: &[u8], +) -> Result { + Ok(match col_type { ColumnType::String | ColumnType::SparseVector => { Value::String(std::str::from_utf8(raw).unwrap_or_default().to_string()) } ColumnType::Bytes => Value::Bytes(raw.to_vec()), - // GeoJSON with an optional `crs` member, which carries the SRID. - // Any other text (WKT) stays a string. - ColumnType::Geometry => match nodedb_types::geometry::parse_geojson_slice(raw) { - Ok(geometry) => Value::Geometry(geometry), - Err(_) => Value::String(std::str::from_utf8(raw).unwrap_or_default().to_string()), - }, + // EWKB: SRID, Z and M. A stored SRID is checked for syntax only. + ColumnType::Geometry => { + nodedb_spatial::value_of_ewkb(raw).map_err(|e| StrictError::CorruptCell { + column_type: *col_type, + detail: e.to_string(), + })? + } ColumnType::Json => match nodedb_types::value_from_msgpack(raw) { Ok(value) => value, Err(error) => { @@ -110,7 +117,7 @@ pub(super) fn decode_variable_value(col_type: &ColumnType, raw: &[u8]) -> Value decode_typed_msgpack(raw, |value| matches!(value, Value::Record { .. })) } _ => Value::Null, - } + }) } /// Decode MessagePack only when it carries the exact Value variant required @@ -128,19 +135,23 @@ mod tests { use super::*; #[test] - fn projected_geometry_decodes_with_its_srid() { - use nodedb_types::geometry::{Geometry, Srid, SridGeometry}; - let g = SridGeometry::new(Srid::Utm48N, Geometry::point(134_445.5, 349_624.7)); - let raw = sonic_rs::to_vec(&g).unwrap(); + fn geometry_cell_decodes_srid_z_and_m() { + use nodedb_types::geometry::{Geometry, Ordinates, Srid, SridGeometry}; + let g = SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::point(134_445.5, 349_624.7), + Ordinates::new(Some(vec![12.0]), Some(vec![3.0])), + ) + .unwrap(); + let raw = nodedb_spatial::geometry_to_ewkb(&g).unwrap(); assert_eq!( decode_variable_value(&ColumnType::Geometry, &raw), - Value::Geometry(g) - ); - let plain = sonic_rs::to_vec(&SridGeometry::wgs84(Geometry::point(1.0, 2.0))).unwrap(); - assert!( - !String::from_utf8(plain).unwrap().contains("crs"), - "4326 writes no crs member" + Ok(Value::Geometry(g)) ); + assert!(matches!( + decode_variable_value(&ColumnType::Geometry, b"POINT(1 2)"), + Err(StrictError::CorruptCell { .. }) + )); } #[test] diff --git a/nodedb-strict/src/encode.rs b/nodedb-strict/src/encode.rs index 4cb249a85..6a42c919e 100644 --- a/nodedb-strict/src/encode.rs +++ b/nodedb-strict/src/encode.rs @@ -164,14 +164,16 @@ impl TupleEncoder { } /// Encode a row for a bitemporal strict schema. The three reserved - /// slots (0/1/2) are populated from the provided timestamps; the - /// remaining slots are filled from `user_values` in schema order. + /// slots (0/1/2) are populated from the provided system-time key and + /// valid-time bounds; the remaining slots are filled from `user_values` + /// in schema order. The system-time key is opaque here: the host engine + /// decides its domain (Origin stores the system-time ordinal). /// /// Errors if the schema is not bitemporal or if `user_values.len() != /// schema.len() - 3`. pub fn encode_bitemporal( &self, - system_from_ms: i64, + system_from: i64, valid_from_ms: i64, valid_until_ms: i64, user_values: &[Value], @@ -190,7 +192,7 @@ impl TupleEncoder { }); } let mut all = Vec::with_capacity(self.schema.columns.len()); - all.push(Value::Integer(system_from_ms)); + all.push(Value::Integer(system_from)); all.push(Value::Integer(valid_from_ms)); all.push(Value::Integer(valid_until_ms)); all.extend_from_slice(user_values); diff --git a/nodedb-strict/src/encode/value.rs b/nodedb-strict/src/encode/value.rs index 4aa19b338..074359b9e 100644 --- a/nodedb-strict/src/encode/value.rs +++ b/nodedb-strict/src/encode/value.rs @@ -130,23 +130,17 @@ pub(super) fn encode_variable( value: &Value, ) -> Result<(), StrictError> { match (&col.column_type, value) { - (ColumnType::String, Value::String(s)) - | (ColumnType::Geometry, Value::String(s)) - | (ColumnType::SparseVector, Value::String(s)) => { - // Geometry text is WKT or GeoJSON. Sparse vector text is a - // `'{id: weight}'` literal parsed at index-build time. + (ColumnType::String, Value::String(s)) | (ColumnType::SparseVector, Value::String(s)) => { + // Sparse vector text is a `'{id: weight}'` literal parsed at + // index-build time. var_data.extend_from_slice(s.as_bytes()); } (ColumnType::Bytes | ColumnType::SparseVector, Value::Bytes(b)) => { var_data.extend_from_slice(b); } - // GeoJSON, with a `crs` member for any SRID other than 4326. - (ColumnType::Geometry, Value::Geometry(g)) => { - let json = sonic_rs::to_vec(g).map_err(|e| { - invalid_value(col, format!("geometry does not serialize to GeoJSON: {e}")) - })?; - var_data.extend_from_slice(&json); - } + // EWKB, so the cell keeps its SRID, Z and M. A stored SRID is + // checked for syntax only. + (ColumnType::Geometry, value) => append_geometry(var_data, col, value)?, (ColumnType::Json, Value::String(s)) => { // A JSON text stores as the value it spells. Any other text // stores as a JSON string. @@ -226,6 +220,22 @@ fn check_vector_len(col: &ColumnDef, dim: u32, len: usize) -> Result<(), StrictE } } +/// Append the EWKB of the geometry `value` holds, or refuse the value. +fn append_geometry( + var_data: &mut Vec, + col: &ColumnDef, + value: &Value, +) -> Result<(), StrictError> { + let ewkb = nodedb_spatial::ewkb_of_value(value, nodedb_spatial::SridCheck::Syntax).map_err( + |e| match e { + nodedb_spatial::SpatialError::NotGeometryValue { .. } => type_mismatch(col), + e => invalid_value(col, e.to_string()), + }, + )?; + var_data.extend_from_slice(&ewkb); + Ok(()) +} + fn type_mismatch(col: &ColumnDef) -> StrictError { StrictError::TypeMismatch { column: col.name.clone(), diff --git a/nodedb-strict/src/error.rs b/nodedb-strict/src/error.rs index 11b8ea798..684c5171d 100644 --- a/nodedb-strict/src/error.rs +++ b/nodedb-strict/src/error.rs @@ -28,6 +28,13 @@ pub enum StrictError { detail: String, }, + /// A stored variable-length cell whose bytes do not hold its type. + #[error("column of type {column_type}: corrupt cell: {detail}")] + CorruptCell { + column_type: ColumnType, + detail: String, + }, + /// A non-nullable column received a null value with no default. #[error("column '{0}' is NOT NULL and has no default")] NullViolation(String), diff --git a/nodedb-test-support/Cargo.toml b/nodedb-test-support/Cargo.toml index 9db699c65..c0145113d 100644 --- a/nodedb-test-support/Cargo.toml +++ b/nodedb-test-support/Cargo.toml @@ -25,6 +25,7 @@ nodedb-bridge = { workspace = true } nodedb-client = { workspace = true, features = ["native"] } nodedb-cluster = { workspace = true } nodedb-crdt = { workspace = true } +nodedb-crs = { workspace = true } nodedb-mem = { workspace = true } nodedb-types = { workspace = true } nodedb-wal = { workspace = true } diff --git a/nodedb-test-support/src/booted_state.rs b/nodedb-test-support/src/booted_state.rs index 6cbb67fa8..5bf3f3011 100644 --- a/nodedb-test-support/src/booted_state.rs +++ b/nodedb-test-support/src/booted_state.rs @@ -201,6 +201,7 @@ async fn boot_node(options: BootOptions) -> Result { doc_config_seed: nodedb::bootstrap::data_plane::load_doc_config_registry_from( state.credentials.catalog(), ), + crs_set_seed: state.credentials.catalog().custom_crs_set(), event_interest: crate::core_loop_runner::event_interest_for(&state), stop_rx: core_stop_rx, }); diff --git a/nodedb-test-support/src/cluster_harness/node/inspect/core_placement.rs b/nodedb-test-support/src/cluster_harness/node/inspect/core_placement.rs index 24cd79998..f0df6aa5b 100644 --- a/nodedb-test-support/src/cluster_harness/node/inspect/core_placement.rs +++ b/nodedb-test-support/src/cluster_harness/node/inspect/core_placement.rs @@ -58,6 +58,26 @@ impl TestClusterNode { &self, core_id: usize, tenant: TenantId, + ) -> TenantDataSnapshot { + self.snapshot_on_core(core_id, tenant, false).await + } + + /// The tenant snapshot of `tenant` that each core of this node holds, + /// array cells included, in core order. The reads never leave this node, + /// so they show this replica's own stored data in every engine. + pub async fn stored_tenant_snapshots(&self, tenant: TenantId) -> Vec { + let mut snapshots = Vec::with_capacity(self.num_cores()); + for core_id in 0..self.num_cores() { + snapshots.push(self.snapshot_on_core(core_id, tenant, true).await); + } + snapshots + } + + async fn snapshot_on_core( + &self, + core_id: usize, + tenant: TenantId, + arrays: bool, ) -> TenantDataSnapshot { let request_id = RequestId::new(PLACEMENT_REQUEST_ID.fetch_add(1, Ordering::Relaxed)); let request = Request { @@ -69,7 +89,7 @@ impl TestClusterNode { tenant_id: tenant.as_u64(), cut_watermark: None, cut_capture: None, - arrays: false, + arrays, }), deadline: std::time::Instant::now() + std::time::Duration::from_secs(10), priority: Priority::Normal, diff --git a/nodedb-test-support/src/cluster_harness/node/lifecycle/spawn_full.rs b/nodedb-test-support/src/cluster_harness/node/lifecycle/spawn_full.rs index 6e70a4f11..5bb2144a0 100644 --- a/nodedb-test-support/src/cluster_harness/node/lifecycle/spawn_full.rs +++ b/nodedb-test-support/src/cluster_harness/node/lifecycle/spawn_full.rs @@ -224,6 +224,16 @@ impl TestClusterNode { // Fixed test KEK so backup tests produce encrypted envelopes. state.backup_kek = Some(Arc::new([0x42u8; 32])); state.backup_storage = config.backup_storage.clone().map(Arc::new); + // Webhook sinks in tests listen on loopback. The `[egress]` policy + // admits `http://localhost` there, as an operator allow-lists a + // private sink. + state.remote_sources = nodedb::control::security::egress::RemoteSources::new( + Arc::new(nodedb::control::security::egress::EgressPolicy::from_parts( + true, + &["localhost".to_string()], + &["127.0.0.0/8".to_string(), "::1/128".to_string()], + )?), + )?; super::wire_state::open_producer_registry(state)?; // Drains, pending DDL records, and the DDL preparation owner load // from their rows (mirrors production `SharedState::open`). @@ -274,6 +284,7 @@ impl TestClusterNode { doc_config_seed: nodedb::bootstrap::data_plane::load_doc_config_registry_from( shared.credentials.catalog(), ), + crs_set_seed: shared.credentials.catalog().custom_crs_set(), event_interest: crate::core_loop_runner::event_interest_for(&shared), stop_rx: core_stop_rx, }); diff --git a/nodedb-test-support/src/cluster_harness/pitr.rs b/nodedb-test-support/src/cluster_harness/pitr.rs index 1dbb51ce9..a8b98ef37 100644 --- a/nodedb-test-support/src/cluster_harness/pitr.rs +++ b/nodedb-test-support/src/cluster_harness/pitr.rs @@ -87,9 +87,7 @@ impl PitrStorage { ) -> HarnessResult { let mut config = ServerConfig::default(); config.server.data_dir = data_dir.to_path_buf(); - config.encryption = Some(EncryptionSettings { - key_path: self.key_path(), - }); + config.encryption = Some(EncryptionSettings::file(self.key_path())); config.cold_storage = Some(self.cold_settings()?); config.snapshot_storage = Some(self.snapshot_settings()?); config.pitr.enabled = true; diff --git a/nodedb-test-support/src/cluster_harness/retriable.rs b/nodedb-test-support/src/cluster_harness/retriable.rs index 8a9deafc0..0f4be04c3 100644 --- a/nodedb-test-support/src/cluster_harness/retriable.rs +++ b/nodedb-test-support/src/cluster_harness/retriable.rs @@ -49,7 +49,10 @@ where } tokio::time::sleep(step).await; } - Err(err) => panic!("{desc}: {err}"), + Err(err) => match err.as_db_error() { + Some(db) => panic!("{desc}: {} {}", db.code().code(), db.message()), + None => panic!("{desc}: {err}"), + }, } } } diff --git a/nodedb-test-support/src/core_loop_runner.rs b/nodedb-test-support/src/core_loop_runner.rs index 1d20df3a5..624f8f1f2 100644 --- a/nodedb-test-support/src/core_loop_runner.rs +++ b/nodedb-test-support/src/core_loop_runner.rs @@ -111,6 +111,10 @@ pub struct CoreLoopSpawn { /// `timestamp`. That made every restart test here quietly weaker than it /// looked — none of them exercised the seeded path production always takes. pub doc_config_seed: Vec, + /// The catalog's user-defined CRS set, installed BEFORE WAL replay exactly + /// as production's `seed_catalog_state` does, so replay and every later + /// request resolve user-defined SRIDs. + pub crs_set_seed: Arc, /// The collections some Event Plane consumer reads, as production boot /// wires them. Build it with [`event_interest_for`]. pub event_interest: Arc, @@ -147,6 +151,7 @@ pub fn spawn_core_loop(spawn: CoreLoopSpawn) -> tokio::task::JoinHandle<()> { query_tuning, timeseries_tuning, doc_config_seed, + crs_set_seed, event_interest, stop_rx, } = spawn; @@ -180,6 +185,7 @@ pub fn spawn_core_loop(spawn: CoreLoopSpawn) -> tokio::task::JoinHandle<()> { // `doc_configs`, and production seeds it in the same order // (`seed_catalog_state` -> `replay_wal_and_rebuild_indexes`). core.seed_doc_configs(&doc_config_seed); + core.set_crs_set(crs_set_seed); if let Some(WalReplay { records, tombstones, diff --git a/nodedb-test-support/src/jwks_fixture.rs b/nodedb-test-support/src/jwks_fixture.rs index 14f1bd433..052260ca4 100644 --- a/nodedb-test-support/src/jwks_fixture.rs +++ b/nodedb-test-support/src/jwks_fixture.rs @@ -116,15 +116,10 @@ impl JwksFixture { } /// An `[auth.jwt]` section with one static provider pointing at this - /// fixture, bound to `tenant_id`. - /// - /// Includes the loopback allowances the JWKS fetcher needs to accept a - /// plaintext `http://localhost` keyset — production forbids both. + /// fixture, bound to `tenant_id`. Its registry fetches through + /// [`loopback_egress`]. pub fn auth_config(&self, issuer: &str, audience: &str, tenant_id: u64) -> JwtAuthConfig { JwtAuthConfig { - allow_http_jwks: true, - allow_jwks_hosts: vec!["localhost".into()], - allow_jwks_cidrs: vec!["127.0.0.0/8".into(), "::1/128".into()], providers: vec![JwtProviderConfig { name: "test-provider".into(), jwks_url: self.jwks_url.clone(), @@ -137,6 +132,26 @@ impl JwksFixture { } } +/// The `[egress]` policy a JWKS fetch of a fixture needs: plaintext +/// `http://localhost` resolving to loopback. The strict default refuses both. +pub fn loopback_egress() -> std::sync::Arc { + std::sync::Arc::new( + nodedb::control::security::egress::EgressPolicy::from_parts( + true, + &["localhost".to_string()], + &["127.0.0.0/8".to_string(), "::1/128".to_string()], + ) + .expect("the loopback egress policy is valid"), + ) +} + +/// Remote sources under [`loopback_egress`], so `CREATE OIDC PROVIDER` admits +/// a fixture's `http://localhost` JWKS URI. +pub fn loopback_sources() -> nodedb::control::security::egress::RemoteSources { + nodedb::control::security::egress::RemoteSources::new(loopback_egress()) + .expect("the loopback remote sources build") +} + /// Seconds since the UNIX epoch, for `iat` / `exp` claims. pub fn now_secs() -> u64 { std::time::SystemTime::now() diff --git a/nodedb-test-support/src/pgwire_harness/multicore.rs b/nodedb-test-support/src/pgwire_harness/multicore.rs index 85e1add27..fde0184fd 100644 --- a/nodedb-test-support/src/pgwire_harness/multicore.rs +++ b/nodedb-test-support/src/pgwire_harness/multicore.rs @@ -87,6 +87,7 @@ impl TestServer { doc_config_seed: nodedb::bootstrap::data_plane::load_doc_config_registry_from( shared.credentials.catalog(), ), + crs_set_seed: shared.credentials.catalog().custom_crs_set(), event_interest: crate::core_loop_runner::event_interest_for(&shared), stop_rx: core_stop_rx, }); diff --git a/nodedb-test-support/src/pgwire_harness/restart.rs b/nodedb-test-support/src/pgwire_harness/restart.rs index 9d270e9fa..5d4dd1dfc 100644 --- a/nodedb-test-support/src/pgwire_harness/restart.rs +++ b/nodedb-test-support/src/pgwire_harness/restart.rs @@ -273,6 +273,7 @@ impl TestServer { doc_config_seed: nodedb::bootstrap::data_plane::load_doc_config_registry_from( shared.credentials.catalog(), ), + crs_set_seed: shared.credentials.catalog().custom_crs_set(), event_interest: crate::core_loop_runner::event_interest_for(&shared), stop_rx: core_stop_rx, }); diff --git a/nodedb-test-support/src/pgwire_harness/start.rs b/nodedb-test-support/src/pgwire_harness/start.rs index 40edc2d92..caf657c7b 100644 --- a/nodedb-test-support/src/pgwire_harness/start.rs +++ b/nodedb-test-support/src/pgwire_harness/start.rs @@ -317,6 +317,7 @@ impl TestServer { doc_config_seed: nodedb::bootstrap::data_plane::load_doc_config_registry_from( shared.credentials.catalog(), ), + crs_set_seed: shared.credentials.catalog().custom_crs_set(), event_interest: crate::core_loop_runner::event_interest_for(&shared), stop_rx: core_stop_rx, }); diff --git a/nodedb-test-support/src/sync_client.rs b/nodedb-test-support/src/sync_client.rs index 9c8294b26..8c2005031 100644 --- a/nodedb-test-support/src/sync_client.rs +++ b/nodedb-test-support/src/sync_client.rs @@ -4,7 +4,9 @@ //! //! Test-only infra for driving the Lite↔Origin sync WebSocket end-to-end: //! performs a Trust-mode handshake, then pushes CRDT deltas and reports -//! back whether the server acked or rejected each one. Not a library-grade +//! back whether the server acked or rejected each one. Each delta states its +//! collection's incarnation, learned from the server's `CollectionSchema` +//! announce as a Lite client learns it. Not a library-grade //! client — errors are returned as `String` since this crate is test //! infrastructure, not production code. @@ -39,6 +41,8 @@ pub struct SyncTestClient { producer_id: u64, epoch: u64, next_seq: u64, + /// The `creation_hlc` of every collection the server announced. + incarnations: HashMap, } impl SyncTestClient { @@ -85,7 +89,7 @@ impl SyncTestClient { client_version: "test".to_string(), lite_id, epoch, - wire_version: nodedb_types::wire_version::WIRE_FORMAT_VERSION, + wire_version: nodedb_types::sync::wire::SYNC_WIRE_VERSION, }; let frame = SyncFrame::try_encode(SyncMessageType::Handshake, &handshake) .ok_or_else(|| "failed to encode HandshakeMsg".to_string())?; @@ -109,6 +113,7 @@ impl SyncTestClient { producer_id: ack.producer_id, epoch: ack.accepted_epoch, next_seq: 1, + incarnations: HashMap::new(), }) } @@ -146,6 +151,7 @@ impl SyncTestClient { seq: u64, delta: Vec, ) -> Result { + let collection_incarnation = self.incarnation(collection).await?; let push = DeltaPushMsg { collection: collection.to_string(), document_id: document_id.to_string(), @@ -159,6 +165,7 @@ impl SyncTestClient { seq, device_id: 0, delta_signature: [0; 32], + collection_incarnation, }; let frame = SyncFrame::try_encode(SyncMessageType::DeltaPush, &push) .ok_or_else(|| "failed to encode DeltaPushMsg".to_string())?; @@ -168,7 +175,7 @@ impl SyncTestClient { .map_err(|e| format!("failed to send DeltaPush frame: {e}"))?; loop { - let frame = recv_any_frame(&mut self.ws).await?; + let frame = self.recv_next_frame().await?; match frame.msg_type { SyncMessageType::DeltaAck => { let ack: DeltaAckMsg = frame @@ -246,7 +253,34 @@ impl SyncTestClient { /// `RECV_TIMEOUT`, so callers do not need to wrap this in a timeout to /// avoid hanging on a silent server. pub async fn recv_next_frame(&mut self) -> Result { - recv_any_frame(&mut self.ws).await + let frame = recv_any_frame(&mut self.ws).await?; + if frame.msg_type == SyncMessageType::CollectionSchema + && let Some(announce) = frame.decode_body::() + { + self.incarnations + .insert(announce.descriptor.name, announce.creation_hlc); + } + Ok(frame) + } + + /// The incarnation of `collection` the server announced. When it has not + /// announced it on this session yet, subscribe to the collection: the + /// server sends the announce before the snapshot. The server binds the + /// subscription to the session's tenant, not to the shape's. + pub async fn incarnation(&mut self, collection: &str) -> Result { + if let Some(hlc) = self.incarnations.get(collection) { + return Ok(*hlc); + } + self.subscribe_document_shape(&format!("{collection}_incarnation"), collection, 0) + .await?; + loop { + self.recv_next_frame().await.map_err(|e| { + format!("no CollectionSchema announce for collection {collection}: {e}") + })?; + if let Some(hlc) = self.incarnations.get(collection) { + return Ok(*hlc); + } + } } } diff --git a/nodedb-test-support/src/tx_batch_helpers.rs b/nodedb-test-support/src/tx_batch_helpers.rs index 77b5a4edc..a6dcd4289 100644 --- a/nodedb-test-support/src/tx_batch_helpers.rs +++ b/nodedb-test-support/src/tx_batch_helpers.rs @@ -159,6 +159,8 @@ pub fn edge_put(collection: &str, src: &str, dst: &str) -> PhysicalPlan { properties: Vec::new(), src_surrogate: crate::kv_rows::kv_row_surrogate(src.as_bytes()), dst_surrogate: crate::kv_rows::kv_row_surrogate(dst.as_bytes()), + valid_from_ms: None, + valid_until_ms: None, }) } @@ -169,6 +171,7 @@ pub fn neighbors(_collection: &str, src: &str) -> PhysicalPlan { edge_labels: vec!["REL".into()], direction: nodedb::engine::graph::edge_store::Direction::Out, rls_filters: Vec::new(), + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } @@ -209,6 +212,7 @@ pub fn columnar_insert(collection: &str, id: &str, val: i64) -> PhysicalPlan { schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, // These helpers build plans for transaction-batch tests on // collections that carry no RLS policy. rls_write_check: nodedb_types::RlsWriteCheck::NoPolicyApplies, diff --git a/nodedb-types/Cargo.toml b/nodedb-types/Cargo.toml index db64dda1a..155c0acda 100644 --- a/nodedb-types/Cargo.toml +++ b/nodedb-types/Cargo.toml @@ -33,6 +33,7 @@ nanoid = { workspace = true } rand = { workspace = true } rust_decimal = { workspace = true } nodedb-codec = { workspace = true } +nodedb-srid = { workspace = true } crc32c = { workspace = true } roaring = { workspace = true } bytemuck = { workspace = true } @@ -42,4 +43,5 @@ sha2 = { workspace = true } hex = { workspace = true } [dev-dependencies] +nodedb-crs = { workspace = true } toml = { workspace = true } diff --git a/nodedb-types/src/array_agg/dist.rs b/nodedb-types/src/array_agg/dist.rs new file mode 100644 index 000000000..cd65dbdc1 --- /dev/null +++ b/nodedb-types/src/array_agg/dist.rs @@ -0,0 +1,436 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! An exact value distribution: every distinct value with its count. +//! +//! Values are kept in ascending order. Floats order with NaN above every +//! other value, as PostgreSQL sorts them, and `-0.0` equals `0.0`. Two +//! distributions merge exactly by summing the counts of equal values. +//! +//! A distribution past [`MAX_DIST_ENTRIES`] distinct values drops its +//! entries and becomes [`ValueDist::OverBudget`]. Finalizing one is a +//! typed error, never an approximation. + +use std::cmp::Ordering; +use std::fmt; + +use serde::{Deserialize, Serialize}; + +/// The most distinct values one distribution holds. At 16 bytes a run, +/// this bounds a partial near 64 MiB. +pub const MAX_DIST_ENTRIES: usize = 1 << 22; + +/// One distinct integer value and how many cells hold it. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct IntRun { + pub value: i64, + pub count: u64, +} + +/// One distinct float value and how many cells hold it. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct FloatRun { + pub value: f64, + pub count: u64, +} + +/// One value of a distribution, typed as it was stored. +#[derive(Debug, Clone, Copy, PartialEq)] +pub enum DistValue { + Int(i64), + Float(f64), +} + +/// A distribution's distinct values passed [`MAX_DIST_ENTRIES`]. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct DistBudgetExceeded { + /// Distinct values seen when the budget ran out. A lower bound. + pub distinct: u64, +} + +impl fmt::Display for DistBudgetExceeded { + fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { + write!( + f, + "an exact median, percentile or mode holds at most {MAX_DIST_ENTRIES} distinct \ + values, and the input holds at least {}; narrow the slice or zone, or group by \ + a dim", + self.distinct + ) + } +} + +/// An exact value distribution. +#[derive( + Debug, + Clone, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum ValueDist { + /// No value. + Empty, + /// Distinct integers, strictly ascending. + Ints(Vec), + /// Distinct floats, strictly ascending, NaN last. + Floats(Vec), + /// More than [`MAX_DIST_ENTRIES`] distinct values. The entries are gone. + OverBudget { distinct: u64 }, +} + +/// The float total order a distribution keeps: NaN above every other +/// value, `-0.0` equal to `0.0`. +pub(super) fn cmp_float(a: f64, b: f64) -> Ordering { + match (a.is_nan(), b.is_nan()) { + (true, true) => Ordering::Equal, + (true, false) => Ordering::Greater, + (false, true) => Ordering::Less, + (false, false) => a.partial_cmp(&b).unwrap_or(Ordering::Equal), + } +} + +impl ValueDist { + /// The number of values: the sum of every run's count. + pub fn count(&self) -> u64 { + match self { + ValueDist::Empty | ValueDist::OverBudget { .. } => 0, + ValueDist::Ints(runs) => runs.iter().map(|r| r.count).sum(), + ValueDist::Floats(runs) => runs.iter().map(|r| r.count).sum(), + } + } + + /// The number of distinct values. + pub fn distinct(&self) -> u64 { + match self { + ValueDist::Empty => 0, + ValueDist::Ints(runs) => runs.len() as u64, + ValueDist::Floats(runs) => runs.len() as u64, + ValueDist::OverBudget { distinct } => *distinct, + } + } + + /// The exact merge of two distributions. + /// + /// An integer and a float distribution merge as floats. An integer past + /// 2^53 then rounds, which happens only when one attr mixes kinds. + pub fn merge(self, other: ValueDist) -> ValueDist { + match (self, other) { + (ValueDist::Empty, x) | (x, ValueDist::Empty) => x, + (ValueDist::OverBudget { distinct: a }, x) + | (x, ValueDist::OverBudget { distinct: a }) => ValueDist::OverBudget { + distinct: a.max(x.distinct()), + }, + (ValueDist::Ints(a), ValueDist::Ints(b)) => budgeted( + merge_runs(a, b, |x, y| x.value.cmp(&y.value), add_int), + ValueDist::Ints, + ), + (ValueDist::Floats(a), ValueDist::Floats(b)) => budgeted( + merge_runs(a, b, |x, y| cmp_float(x.value, y.value), add_float), + ValueDist::Floats, + ), + (ValueDist::Ints(a), ValueDist::Floats(b)) + | (ValueDist::Floats(b), ValueDist::Ints(a)) => { + ValueDist::Floats(ints_as_floats(a)).merge(ValueDist::Floats(b)) + } + } + } + + /// The exact `p` percentile, `0 <= p <= 1`, by linear interpolation + /// between the closest ranks. + /// + /// With `N` values sorted ascending and numbered from 0, the result is + /// at rank `h = p * (N - 1)`: `v[floor(h)] + (h - floor(h)) * + /// (v[ceil(h)] - v[floor(h)])`. This is PostgreSQL's + /// `percentile_cont`. `None` when the distribution holds no value. + pub fn percentile(&self, p: f64) -> Result, DistBudgetExceeded> { + let total = match self { + ValueDist::OverBudget { distinct } => { + return Err(DistBudgetExceeded { + distinct: *distinct, + }); + } + other => other.count(), + }; + if total == 0 { + return Ok(None); + } + let h = p.clamp(0.0, 1.0) * (total - 1) as f64; + let lo_rank = h.floor() as u64; + let hi_rank = h.ceil() as u64; + let frac = h - h.floor(); + let (Some(lo), Some(hi)) = (self.value_at(lo_rank), self.value_at(hi_rank)) else { + return Ok(None); + }; + Ok(Some(interpolate(lo, hi, frac))) + } + + /// The value held by the most cells. Among equal counts, the smallest + /// value. `None` when the distribution holds no value. + pub fn mode(&self) -> Result, DistBudgetExceeded> { + Ok(match self { + ValueDist::Empty => None, + ValueDist::OverBudget { distinct } => { + return Err(DistBudgetExceeded { + distinct: *distinct, + }); + } + // Runs ascend, so the first run of the highest count is the + // smallest value among the ties. + ValueDist::Ints(runs) => runs + .iter() + .fold(None::, |best, r| match best { + Some(b) if b.count >= r.count => Some(b), + _ => Some(*r), + }) + .map(|r| DistValue::Int(r.value)), + ValueDist::Floats(runs) => runs + .iter() + .fold(None::, |best, r| match best { + Some(b) if b.count >= r.count => Some(b), + _ => Some(*r), + }) + .map(|r| DistValue::Float(r.value)), + }) + } + + /// The value at 0-based `rank` of the ascending values. + fn value_at(&self, rank: u64) -> Option { + let mut seen = 0u64; + match self { + ValueDist::Empty | ValueDist::OverBudget { .. } => None, + ValueDist::Ints(runs) => runs.iter().find_map(|r| { + seen += r.count; + (rank < seen).then_some(DistValue::Int(r.value)) + }), + ValueDist::Floats(runs) => runs.iter().find_map(|r| { + seen += r.count; + (rank < seen).then_some(DistValue::Float(r.value)) + }), + } + } +} + +/// `lo + frac * (hi - lo)`. Two integers subtract exactly in `i128`. +fn interpolate(lo: DistValue, hi: DistValue, frac: f64) -> f64 { + match (lo, hi) { + (DistValue::Int(a), DistValue::Int(b)) => { + if frac == 0.0 { + return a as f64; + } + a as f64 + frac * ((i128::from(b) - i128::from(a)) as f64) + } + (a, b) => { + let (a, b) = (as_f64(a), as_f64(b)); + if frac == 0.0 { a } else { a + frac * (b - a) } + } + } +} + +fn as_f64(v: DistValue) -> f64 { + match v { + DistValue::Int(i) => i as f64, + DistValue::Float(f) => f, + } +} + +fn add_int(a: IntRun, b: IntRun) -> IntRun { + IntRun { + value: a.value, + count: a.count.saturating_add(b.count), + } +} + +fn add_float(a: FloatRun, b: FloatRun) -> FloatRun { + FloatRun { + value: a.value, + count: a.count.saturating_add(b.count), + } +} + +fn ints_as_floats(runs: Vec) -> Vec { + let mut out: Vec = Vec::with_capacity(runs.len()); + for r in runs { + let value = r.value as f64; + // Two integers past 2^53 can round to one float: fold them. + match out.last_mut() { + Some(last) if last.value == value => last.count = last.count.saturating_add(r.count), + _ => out.push(FloatRun { + value, + count: r.count, + }), + } + } + out +} + +/// Merge two ascending run lists, summing the counts of equal values. +fn merge_runs( + a: Vec, + b: Vec, + cmp: impl Fn(&T, &T) -> Ordering, + add: impl Fn(T, T) -> T, +) -> Vec { + let mut out = Vec::with_capacity(a.len() + b.len()); + let (mut i, mut j) = (0, 0); + while i < a.len() && j < b.len() { + match cmp(&a[i], &b[j]) { + Ordering::Less => { + out.push(a[i]); + i += 1; + } + Ordering::Greater => { + out.push(b[j]); + j += 1; + } + Ordering::Equal => { + out.push(add(a[i], b[j])); + i += 1; + j += 1; + } + } + } + out.extend_from_slice(&a[i..]); + out.extend_from_slice(&b[j..]); + out +} + +/// `runs` wrapped by `wrap`, or [`ValueDist::OverBudget`] past the budget. +fn budgeted(runs: Vec, wrap: fn(Vec) -> ValueDist) -> ValueDist { + if runs.len() > MAX_DIST_ENTRIES { + ValueDist::OverBudget { + distinct: runs.len() as u64, + } + } else if runs.is_empty() { + ValueDist::Empty + } else { + wrap(runs) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn ints(pairs: &[(i64, u64)]) -> ValueDist { + ValueDist::Ints( + pairs + .iter() + .map(|&(value, count)| IntRun { value, count }) + .collect(), + ) + } + + fn floats(pairs: &[(f64, u64)]) -> ValueDist { + ValueDist::Floats( + pairs + .iter() + .map(|&(value, count)| FloatRun { value, count }) + .collect(), + ) + } + + #[test] + fn merge_sums_equal_values_and_keeps_order() { + let a = ints(&[(1, 2), (5, 1)]); + let b = ints(&[(0, 1), (5, 3), (9, 1)]); + assert_eq!(a.merge(b), ints(&[(0, 1), (1, 2), (5, 4), (9, 1)])); + assert_eq!(ValueDist::Empty.merge(ints(&[(3, 1)])), ints(&[(3, 1)])); + } + + #[test] + fn percentile_interpolates_between_closest_ranks() { + // Values 1, 2, 3, 4. + let d = ints(&[(1, 1), (2, 1), (3, 1), (4, 1)]); + assert_eq!(d.percentile(0.5), Ok(Some(2.5))); + assert_eq!(d.percentile(0.0), Ok(Some(1.0))); + assert_eq!(d.percentile(1.0), Ok(Some(4.0))); + assert_eq!(d.percentile(0.25), Ok(Some(1.75))); + // Values 7, 7, 7, 10: rank 1.5 sits between two sevens. + let runs = ints(&[(7, 3), (10, 1)]); + assert_eq!(runs.percentile(0.5), Ok(Some(7.0))); + assert_eq!(ValueDist::Empty.percentile(0.5), Ok(None)); + } + + #[test] + fn integer_interpolation_is_exact_past_2_pow_53() { + let big = 1i64 << 60; + let d = ints(&[(big, 1), (big + 2, 1)]); + assert_eq!(d.percentile(0.5), Ok(Some((big + 1) as f64))); + } + + #[test] + fn mode_breaks_ties_by_the_smallest_value() { + let d = ints(&[(-3, 2), (4, 2), (9, 1)]); + assert_eq!(d.mode(), Ok(Some(DistValue::Int(-3)))); + let f = floats(&[(0.5, 1), (2.5, 3)]); + assert_eq!(f.mode(), Ok(Some(DistValue::Float(2.5)))); + assert_eq!(ValueDist::Empty.mode(), Ok(None)); + } + + #[test] + fn nan_sorts_last_and_zeroes_are_equal() { + let a = floats(&[(-0.0, 1), (f64::NAN, 1)]); + let b = floats(&[(0.0, 2)]); + let merged = a.merge(b); + let ValueDist::Floats(runs) = &merged else { + panic!("floats stay floats"); + }; + assert_eq!(runs.len(), 2); + assert_eq!(runs[0].count, 3); + assert!(runs[1].value.is_nan()); + assert!(merged.percentile(1.0).unwrap().unwrap().is_nan()); + } + + #[test] + fn over_budget_is_a_typed_error() { + let over = ValueDist::OverBudget { distinct: 9 }; + let merged = over.merge(ints(&[(1, 1)])); + assert!(matches!(merged, ValueDist::OverBudget { distinct: 9 })); + assert_eq!( + merged.percentile(0.5), + Err(DistBudgetExceeded { distinct: 9 }) + ); + assert_eq!(merged.mode(), Err(DistBudgetExceeded { distinct: 9 })); + } + + #[test] + fn mixed_kinds_merge_as_floats() { + let merged = ints(&[(1, 1), (2, 1)]).merge(floats(&[(1.0, 1), (1.5, 1)])); + assert_eq!(merged, floats(&[(1.0, 2), (1.5, 1), (2.0, 1)])); + } + + #[test] + fn wire_round_trip() { + for d in [ + ValueDist::Empty, + ints(&[(-1, 4), (8, 1)]), + floats(&[(0.25, 2)]), + ValueDist::OverBudget { distinct: 5 }, + ] { + let bytes = zerompk::to_msgpack_vec(&d).expect("encode"); + let back: ValueDist = zerompk::from_msgpack(&bytes).expect("decode"); + assert_eq!(back, d); + } + } +} diff --git a/nodedb-types/src/array_agg/dist_acc.rs b/nodedb-types/src/array_agg/dist_acc.rs new file mode 100644 index 000000000..02910a6ee --- /dev/null +++ b/nodedb-types/src/array_agg/dist_acc.rs @@ -0,0 +1,246 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The running form of a [`ValueDist`]: a count per distinct value. +//! +//! A core folds cells into a hash map, one insert per cell, and sorts the +//! distinct values once when it hands the partial on. Memory follows the +//! distinct values, not the cells, so a `UINT16` band of any size holds at +//! most 65 536 entries. + +use std::collections::HashMap; + +use super::dist::{DistValue, FloatRun, IntRun, MAX_DIST_ENTRIES, ValueDist, cmp_float}; + +/// A running value distribution. +#[derive(Debug, Clone, Default, PartialEq)] +pub enum DistAcc { + #[default] + Empty, + Ints(HashMap), + /// Keyed by the canonical bits of each float: `-0.0` folds into `0.0` + /// and every NaN into one NaN. + Floats(HashMap), + /// More than [`MAX_DIST_ENTRIES`] distinct values. The counts are gone. + OverBudget { + distinct: u64, + }, +} + +fn float_key(v: f64) -> u64 { + if v.is_nan() { + f64::NAN.to_bits() + } else if v == 0.0 { + 0.0f64.to_bits() + } else { + v.to_bits() + } +} + +/// Integer counts re-keyed as floats. Two integers past 2^53 that round to +/// one float fold together. +fn ints_as_float_counts(map: HashMap) -> HashMap { + let mut floats: HashMap = HashMap::with_capacity(map.len()); + for (v, n) in map { + *floats.entry(float_key(v as f64)).or_insert(0) += n; + } + floats +} + +impl DistAcc { + /// Fold `n` cells holding `v`. + pub fn insert(&mut self, v: DistValue, n: u64) { + match v { + DistValue::Int(i) => match self { + DistAcc::OverBudget { .. } => return, + DistAcc::Empty => *self = DistAcc::Ints(HashMap::from([(i, n)])), + DistAcc::Ints(map) => *map.entry(i).or_insert(0) += n, + DistAcc::Floats(map) => *map.entry(float_key(i as f64)).or_insert(0) += n, + }, + DistValue::Float(f) => { + let key = float_key(f); + match self { + DistAcc::OverBudget { .. } => return, + DistAcc::Empty => *self = DistAcc::Floats(HashMap::from([(key, n)])), + DistAcc::Floats(map) => *map.entry(key).or_insert(0) += n, + DistAcc::Ints(map) => { + let mut floats = ints_as_float_counts(std::mem::take(map)); + *floats.entry(key).or_insert(0) += n; + *self = DistAcc::Floats(floats); + } + } + } + } + self.check_budget(); + } + + /// Fold every value of `other` into this distribution. + pub fn merge(&mut self, other: DistAcc) { + match other { + DistAcc::Empty => {} + DistAcc::OverBudget { distinct } => { + *self = DistAcc::OverBudget { + distinct: distinct.max(self.distinct()), + } + } + DistAcc::Ints(map) => { + for (v, n) in map { + self.insert(DistValue::Int(v), n); + } + } + DistAcc::Floats(map) => { + for (bits, n) in map { + self.insert(DistValue::Float(f64::from_bits(bits)), n); + } + } + } + } + + /// The number of distinct values. + pub fn distinct(&self) -> u64 { + match self { + DistAcc::Empty => 0, + DistAcc::Ints(map) => map.len() as u64, + DistAcc::Floats(map) => map.len() as u64, + DistAcc::OverBudget { distinct } => *distinct, + } + } + + /// The running form of a received distribution. + pub fn from_dist(dist: ValueDist) -> Self { + match dist { + ValueDist::Empty => DistAcc::Empty, + ValueDist::OverBudget { distinct } => DistAcc::OverBudget { distinct }, + ValueDist::Ints(runs) => { + DistAcc::Ints(runs.into_iter().map(|r| (r.value, r.count)).collect()) + } + ValueDist::Floats(runs) => DistAcc::Floats( + runs.into_iter() + .map(|r| (float_key(r.value), r.count)) + .collect(), + ), + } + } + + /// The sorted wire form. + pub fn into_dist(self) -> ValueDist { + match self { + DistAcc::Empty => ValueDist::Empty, + DistAcc::OverBudget { distinct } => ValueDist::OverBudget { distinct }, + DistAcc::Ints(map) => { + let mut runs: Vec = map + .into_iter() + .map(|(value, count)| IntRun { value, count }) + .collect(); + runs.sort_unstable_by_key(|r| r.value); + ValueDist::Ints(runs) + } + DistAcc::Floats(map) => { + let mut runs: Vec = map + .into_iter() + .map(|(bits, count)| FloatRun { + value: f64::from_bits(bits), + count, + }) + .collect(); + runs.sort_unstable_by(|a, b| cmp_float(a.value, b.value)); + ValueDist::Floats(runs) + } + } + } + + fn check_budget(&mut self) { + let distinct = self.distinct(); + if distinct > MAX_DIST_ENTRIES as u64 && !matches!(self, DistAcc::OverBudget { .. }) { + *self = DistAcc::OverBudget { distinct }; + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn folds_counts_and_sorts_once() { + let mut acc = DistAcc::default(); + for v in [5, -2, 5, 9, -2, 5] { + acc.insert(DistValue::Int(v), 1); + } + assert_eq!( + acc.into_dist(), + ValueDist::Ints(vec![ + IntRun { + value: -2, + count: 2 + }, + IntRun { value: 5, count: 3 }, + IntRun { value: 9, count: 1 }, + ]) + ); + } + + #[test] + fn merged_accumulators_equal_one_pass() { + let values = [3.5, -1.0, 3.5, f64::NAN, 0.0, -0.0, 7.25]; + let mut one = DistAcc::default(); + for v in values { + one.insert(DistValue::Float(v), 1); + } + let (left, right) = values.split_at(3); + let mut a = DistAcc::default(); + for v in left { + a.insert(DistValue::Float(*v), 1); + } + let mut b = DistAcc::default(); + for v in right { + b.insert(DistValue::Float(*v), 1); + } + a.merge(b); + let (x, y) = (a.into_dist(), one.into_dist()); + assert_eq!(x.count(), y.count()); + assert_eq!(x.distinct(), y.distinct()); + assert_eq!(x.percentile(0.5), y.percentile(0.5)); + // -0.0 and 0.0 count as one value. + assert_eq!(y.distinct(), 5); + } + + #[test] + fn an_int_then_a_float_widens() { + let mut acc = DistAcc::default(); + acc.insert(DistValue::Int(2), 1); + acc.insert(DistValue::Float(2.5), 1); + acc.insert(DistValue::Int(2), 1); + assert_eq!( + acc.into_dist(), + ValueDist::Floats(vec![ + FloatRun { + value: 2.0, + count: 2 + }, + FloatRun { + value: 2.5, + count: 1 + }, + ]) + ); + } + + #[test] + fn the_wire_form_round_trips() { + let mut acc = DistAcc::default(); + for v in [2.5, -1.0, 2.5] { + acc.insert(DistValue::Float(v), 1); + } + let dist = acc.clone().into_dist(); + assert_eq!(DistAcc::from_dist(dist.clone()).into_dist(), dist); + assert_eq!(DistAcc::from_dist(dist), acc); + } + + #[test] + fn over_budget_absorbs_merges() { + let mut acc = DistAcc::OverBudget { distinct: 10 }; + acc.insert(DistValue::Int(1), 1); + acc.merge(DistAcc::Ints(HashMap::from([(2, 1)]))); + assert_eq!(acc.into_dist(), ValueDist::OverBudget { distinct: 10 }); + } +} diff --git a/nodedb-types/src/array_agg/histogram.rs b/nodedb-types/src/array_agg/histogram.rs new file mode 100644 index 000000000..609cb2d72 --- /dev/null +++ b/nodedb-types/src/array_agg/histogram.rs @@ -0,0 +1,185 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Fixed-width histogram bins. +//! +//! `HISTOGRAM(bins, lo, hi)` splits `[lo, hi]` into `bins` bins of width +//! `w = (hi - lo) / bins`. Bin `i` holds the values in +//! `[lo + i*w, lo + (i+1)*w)`, and the last bin also holds `hi`. A value +//! below `lo`, above `hi`, or NaN falls in no bin and is not counted. +//! Bin counts merge by addition. + +use std::fmt; + +use serde::{Deserialize, Serialize}; + +/// The most bins one histogram holds. +pub const MAX_HISTOGRAM_BINS: u32 = 65_536; + +/// The bins of a histogram. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct HistogramSpec { + pub bins: u32, + pub lo: f64, + pub hi: f64, +} + +/// Why a histogram spec is refused. +#[derive(Debug, Clone, PartialEq)] +pub enum HistogramSpecError { + /// `bins` is 0 or above [`MAX_HISTOGRAM_BINS`]. + Bins(u32), + /// `lo` or `hi` is not finite, or `lo >= hi`. + Range { lo: f64, hi: f64 }, +} + +impl fmt::Display for HistogramSpecError { + fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { + match self { + HistogramSpecError::Bins(bins) => write!( + f, + "HISTOGRAM bins {bins} must be between 1 and {MAX_HISTOGRAM_BINS}" + ), + HistogramSpecError::Range { lo, hi } => write!( + f, + "HISTOGRAM range [{lo}, {hi}] must be finite with lo < hi" + ), + } + } +} + +/// One bin of a finalized histogram. +#[derive(Debug, Clone, Copy, PartialEq)] +pub struct HistogramBin { + pub lo: f64, + pub hi: f64, + pub count: u64, +} + +impl HistogramSpec { + /// A checked spec. + pub fn new(bins: u32, lo: f64, hi: f64) -> Result { + if bins == 0 || bins > MAX_HISTOGRAM_BINS { + return Err(HistogramSpecError::Bins(bins)); + } + if !lo.is_finite() || !hi.is_finite() || lo >= hi { + return Err(HistogramSpecError::Range { lo, hi }); + } + Ok(Self { bins, lo, hi }) + } + + /// The bin `v` falls in, or `None` outside `[lo, hi]` or for NaN. + pub fn bin_of(&self, v: f64) -> Option { + if v.is_nan() || v < self.lo || v > self.hi { + return None; + } + let last = self.bins as usize - 1; + let raw = ((v - self.lo) / (self.hi - self.lo) * f64::from(self.bins)).floor(); + // `v == hi` lands on `bins`, and rounding can push a value just + // below a boundary up one bin past the last. Both go to the last bin. + Some((raw as usize).min(last)) + } + + /// The lower bound of bin `i`. Bin `bins` gives `hi`. + pub fn edge(&self, i: usize) -> f64 { + if i >= self.bins as usize { + return self.hi; + } + self.lo + (self.hi - self.lo) * (i as f64) / f64::from(self.bins) + } + + /// A zero count per bin. + pub fn empty_counts(&self) -> Vec { + vec![0; self.bins as usize] + } + + /// `counts` as bins with their bounds. A missing count reads as 0. + pub fn finish(&self, counts: &[u64]) -> Vec { + (0..self.bins as usize) + .map(|i| HistogramBin { + lo: self.edge(i), + hi: self.edge(i + 1), + count: counts.get(i).copied().unwrap_or(0), + }) + .collect() + } + + /// Add `other` into `into`, bin by bin. A shorter vector grows to the + /// spec's bin count. + pub fn merge_counts(&self, into: &mut Vec, other: &[u64]) { + let bins = self.bins as usize; + if into.len() < bins { + into.resize(bins, 0); + } + for (slot, n) in into.iter_mut().zip(other) { + *slot = slot.saturating_add(*n); + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn values_fall_in_half_open_bins_and_hi_in_the_last() { + let s = HistogramSpec::new(4, 0.0, 1.0).expect("valid"); + assert_eq!(s.bin_of(0.0), Some(0)); + assert_eq!(s.bin_of(0.2499), Some(0)); + assert_eq!(s.bin_of(0.25), Some(1)); + assert_eq!(s.bin_of(0.99), Some(3)); + assert_eq!(s.bin_of(1.0), Some(3)); + assert_eq!(s.bin_of(-0.01), None); + assert_eq!(s.bin_of(1.01), None); + assert_eq!(s.bin_of(f64::NAN), None); + } + + #[test] + fn bins_carry_their_bounds() { + let s = HistogramSpec::new(2, -1.0, 1.0).expect("valid"); + let bins = s.finish(&[3, 4]); + assert_eq!( + bins, + vec![ + HistogramBin { + lo: -1.0, + hi: 0.0, + count: 3 + }, + HistogramBin { + lo: 0.0, + hi: 1.0, + count: 4 + }, + ] + ); + assert_eq!(s.finish(&[]).iter().map(|b| b.count).sum::(), 0); + } + + #[test] + fn counts_merge_by_addition() { + let s = HistogramSpec::new(3, 0.0, 3.0).expect("valid"); + let mut a = vec![1, 0, 2]; + s.merge_counts(&mut a, &[0, 5, 1]); + assert_eq!(a, vec![1, 5, 3]); + let mut empty = Vec::new(); + s.merge_counts(&mut empty, &[1, 1, 1]); + assert_eq!(empty, vec![1, 1, 1]); + } + + #[test] + fn bad_specs_are_refused() { + assert!(HistogramSpec::new(0, 0.0, 1.0).is_err()); + assert!(HistogramSpec::new(MAX_HISTOGRAM_BINS + 1, 0.0, 1.0).is_err()); + assert!(HistogramSpec::new(4, 1.0, 1.0).is_err()); + assert!(HistogramSpec::new(4, 0.0, f64::INFINITY).is_err()); + } +} diff --git a/nodedb-types/src/array_agg/mod.rs b/nodedb-types/src/array_agg/mod.rs new file mode 100644 index 000000000..8af9c918e --- /dev/null +++ b/nodedb-types/src/array_agg/mod.rs @@ -0,0 +1,19 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Exact, mergeable partial states of the array reducers that need more +//! than a running number: median, percentile and mode (a value +//! distribution), variance and standard deviation (moments), and +//! histogram (fixed-width bin counts). +//! +//! A Data Plane core builds a partial, a shard ships it, and the +//! coordinator merges and finalizes it. Every merge is exact. + +pub mod dist; +pub mod dist_acc; +pub mod histogram; +pub mod moments; + +pub use dist::{DistBudgetExceeded, DistValue, FloatRun, IntRun, MAX_DIST_ENTRIES, ValueDist}; +pub use dist_acc::DistAcc; +pub use histogram::{HistogramBin, HistogramSpec, HistogramSpecError, MAX_HISTOGRAM_BINS}; +pub use moments::Moments; diff --git a/nodedb-types/src/array_agg/moments.rs b/nodedb-types/src/array_agg/moments.rs new file mode 100644 index 000000000..bee20e2b4 --- /dev/null +++ b/nodedb-types/src/array_agg/moments.rs @@ -0,0 +1,112 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Running count, mean and sum of squared deviations (Welford), merged by +//! Chan's parallel formula. Variance and standard deviation finish from it. + +/// The moments of a set of values. +#[derive( + Debug, Clone, Copy, PartialEq, Default, zerompk::ToMessagePack, zerompk::FromMessagePack, +)] +pub struct Moments { + pub count: u64, + pub mean: f64, + /// Sum of squared deviations from the mean. + pub m2: f64, +} + +impl Moments { + /// The moments of one value. + pub fn one(v: f64) -> Self { + Self { + count: 1, + mean: v, + m2: 0.0, + } + } + + /// Add one value (Welford's update). + pub fn push(&mut self, v: f64) { + self.count += 1; + let delta = v - self.mean; + self.mean += delta / self.count as f64; + self.m2 += delta * (v - self.mean); + } + + /// The moments of both sets. + pub fn merge(self, other: Moments) -> Moments { + if other.count == 0 { + return self; + } + if self.count == 0 { + return other; + } + let count = self.count + other.count; + let (na, nb, n) = (self.count as f64, other.count as f64, count as f64); + let delta = other.mean - self.mean; + Moments { + count, + mean: self.mean + delta * nb / n, + m2: self.m2 + other.m2 + delta * delta * na * nb / n, + } + } + + /// The population variance `m2 / n`, or `None` with no value. + pub fn var_pop(&self) -> Option { + (self.count > 0).then(|| self.m2 / self.count as f64) + } + + /// The sample variance `m2 / (n - 1)`, or `None` with fewer than two + /// values, as PostgreSQL's `var_samp`. + pub fn var_samp(&self) -> Option { + (self.count > 1).then(|| self.m2 / (self.count - 1) as f64) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn of(values: &[f64]) -> Moments { + values + .iter() + .fold(Moments::default(), |m, v| m.merge(Moments::one(*v))) + } + + #[test] + fn variance_matches_the_definition() { + let m = of(&[2.0, 4.0, 4.0, 4.0, 5.0, 5.0, 7.0, 9.0]); + assert!((m.var_pop().unwrap() - 4.0).abs() < 1e-12); + assert!((m.var_samp().unwrap() - 32.0 / 7.0).abs() < 1e-12); + } + + #[test] + fn split_merge_equals_one_pass() { + let all = [1.5, -3.0, 8.25, 0.0, 2.0]; + let (a, b) = all.split_at(2); + let merged = of(a).merge(of(b)); + let one = of(&all); + assert_eq!(merged.count, one.count); + assert!((merged.mean - one.mean).abs() < 1e-12); + assert!((merged.m2 - one.m2).abs() < 1e-9); + } + + #[test] + fn push_equals_merge_of_ones() { + let all = [1.5, -3.0, 8.25, 0.0, 2.0]; + let mut pushed = Moments::default(); + for v in all { + pushed.push(v); + } + let merged = of(&all); + assert_eq!(pushed.count, merged.count); + assert!((pushed.mean - merged.mean).abs() < 1e-12); + assert!((pushed.m2 - merged.m2).abs() < 1e-9); + } + + #[test] + fn too_few_values_have_no_variance() { + assert_eq!(Moments::default().var_pop(), None); + assert_eq!(Moments::one(3.0).var_samp(), None); + assert_eq!(Moments::one(3.0).var_pop(), Some(0.0)); + } +} diff --git a/nodedb-types/src/bbox.rs b/nodedb-types/src/bbox.rs index f0075f6f3..029076f9a 100644 --- a/nodedb-types/src/bbox.rs +++ b/nodedb-types/src/bbox.rs @@ -9,22 +9,15 @@ //! metres, nothing wraps, and `min_lng <= max_lng` always holds for a //! non-empty box. -use crate::geometry::Geometry; +use crate::geometry::{Geometry, Srid}; +use nodedb_srid::{CrsKind, SridResolver, UnknownSrid}; use serde::{Deserialize, Serialize}; use zerompk::{FromMessagePack, ToMessagePack}; -/// Metres per degree of latitude, the WGS 84 meridian average used by the -/// equirectangular expansion. -const METRES_PER_DEGREE_LAT: f64 = 110_540.0; - -/// Metres per degree of longitude at the equator (WGS 84 semi-major axis -/// times π / 180, rounded). -const METRES_PER_DEGREE_LNG_EQUATOR: f64 = 111_320.0; - /// The coordinate space a bounding box lives in. /// -/// Derived from the SRID of the geometries it bounds -/// (`Srid::bbox_space`). Union and enlargement depend on it: only +/// Derived from the kind of the SRID of the geometries it bounds +/// ([`BboxSpace::of`]). Union and enlargement depend on it: only /// geographic longitude wraps at ±180°. #[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, Default)] pub enum BboxSpace { @@ -35,6 +28,22 @@ pub enum BboxSpace { Planar, } +impl From for BboxSpace { + fn from(kind: CrsKind) -> Self { + match kind { + CrsKind::Geographic => BboxSpace::Geographic, + CrsKind::Projected => BboxSpace::Planar, + } + } +} + +impl BboxSpace { + /// The space of `srid`, from its kind in `ctx`. + pub fn of(ctx: &dyn SridResolver, srid: Srid) -> Result { + ctx.kind(srid).map(BboxSpace::from) + } +} + /// An axis-aligned bounding box. The `lng` fields hold x and the `lat` fields /// hold y: degrees for a geographic SRID, metres for a projected one. /// @@ -194,36 +203,6 @@ impl BoundingBox { } } - /// Expand by meters in geographic space. Same as - /// `expand_meters_in(meters, BboxSpace::Geographic)`. - pub fn expand_meters(&self, meters: f64) -> BoundingBox { - self.expand_meters_in(meters, BboxSpace::Geographic) - } - - /// Expand by `meters` on every side, in `space`. - /// - /// Geographic space converts metres to degrees with an equirectangular - /// approximation (<0.5% error within ±70° latitude). Planar space adds - /// the metres directly. - pub fn expand_meters_in(&self, meters: f64, space: BboxSpace) -> BoundingBox { - let (dlng, dlat) = match space { - BboxSpace::Geographic => { - let center_lat = (self.min_lat + self.max_lat) / 2.0; - ( - meters / (METRES_PER_DEGREE_LNG_EQUATOR * center_lat.to_radians().cos()), - meters / METRES_PER_DEGREE_LAT, - ) - } - BboxSpace::Planar => (meters, meters), - }; - BoundingBox { - min_lng: self.min_lng - dlng, - min_lat: self.min_lat - dlat, - max_lng: self.max_lng + dlng, - max_lat: self.max_lat + dlat, - } - } - pub fn overlap_area(&self, other: &BoundingBox) -> f64 { if !self.intersects(other) { return 0.0; @@ -455,14 +434,6 @@ mod tests { assert!((a.enlargement_in(&b, BboxSpace::Planar) - (7e5 - 1e5) * 10.0).abs() < 1e-6); } - #[test] - fn planar_expand_adds_metres_directly() { - let bb = BoundingBox::from_point(500_000.0, 100.0); - let e = bb.expand_meters_in(250.0, BboxSpace::Planar); - assert_eq!((e.min_lng, e.max_lng), (499_750.0, 500_250.0)); - assert_eq!((e.min_lat, e.max_lat), (-150.0, 350.0)); - } - #[test] fn overlap_area_partial() { let a = BoundingBox::new(0.0, 0.0, 10.0, 10.0); @@ -470,13 +441,6 @@ mod tests { assert!((a.overlap_area(&b) - 25.0).abs() < 1e-10); } - #[test] - fn expand_meters_basic() { - let bb = BoundingBox::from_point(0.0, 0.0); - let expanded = bb.expand_meters(1000.0); - assert!((expanded.min_lat - (-0.00905)).abs() < 0.001); - } - #[test] fn geometry_collection_bbox() { let gc = Geometry::GeometryCollection { diff --git a/nodedb-types/src/columnar/dml_wal_record.rs b/nodedb-types/src/columnar/dml_wal_record.rs index 02c3731fa..f551a6656 100644 --- a/nodedb-types/src/columnar/dml_wal_record.rs +++ b/nodedb-types/src/columnar/dml_wal_record.rs @@ -46,6 +46,14 @@ pub struct ColumnarDmlWalRecord { /// value is a MessagePack-encoded `UpdateValue`, a literal or an /// expression over the row. Always empty for `Delete`. pub updates: Vec<(String, Vec)>, + /// System-time ordinal every new version an update writes stamps, or at + /// which a delete closes each removed key on a bitemporal collection, + /// raised above the key's bound row at apply. Replay stamps what the + /// live write stamped. `None` for a writer that leaves the stamp to the + /// apply. + #[serde(default)] + #[msgpack(default)] + pub system_from: Option, } #[cfg(test)] @@ -61,6 +69,7 @@ mod tests { is_update: false, filters: vec![1, 2, 3], updates: Vec::new(), + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let decoded: ColumnarDmlWalRecord = zerompk::from_msgpack(&bytes).expect("decode"); @@ -75,6 +84,7 @@ mod tests { is_update: true, filters: vec![4, 5], updates: vec![("v".to_string(), vec![9, 9])], + system_from: Some(1_700_000_000_000_000_011), }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let decoded: ColumnarDmlWalRecord = zerompk::from_msgpack(&bytes).expect("decode"); @@ -93,6 +103,7 @@ mod tests { is_update: false, filters: vec![1], updates: Vec::new(), + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let as_row_record: Result = zerompk::from_msgpack(&bytes); @@ -111,6 +122,7 @@ mod tests { provenance: None, surrogates: Vec::new(), conflict_policy: Vec::new(), + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let as_dml_record: Result = zerompk::from_msgpack(&bytes); diff --git a/nodedb-types/src/columnar/image_wal_record.rs b/nodedb-types/src/columnar/image_wal_record.rs index f67ef95a9..62e5f5f08 100644 --- a/nodedb-types/src/columnar/image_wal_record.rs +++ b/nodedb-types/src/columnar/image_wal_record.rs @@ -40,6 +40,14 @@ pub struct ColumnarImageWalRow { /// MessagePack-encoded post-image (`Value::Object`, column name to value, /// bitemporal columns included). Empty for a delete. pub image_msgpack: Vec, + /// The system-time ordinal the transaction's resolve fixed for this row + /// in a bitemporal collection: the post-image's `_ts_system`, and the + /// stamp of the tombstone that closes the base key when the write removes + /// it (a delete, or an update that changes the key). `None` for a + /// collection that is not bitemporal. + #[msgpack(default)] + #[serde(default)] + pub system_from: Option, } /// Map-encoded columnar row-image WAL record. @@ -81,11 +89,13 @@ mod tests { surrogate: 7, prior_pk_msgpack: vec![1], image_msgpack: vec![2, 3], + system_from: Some(11), }, ColumnarImageWalRow { surrogate: 8, prior_pk_msgpack: vec![4], image_msgpack: Vec::new(), + system_from: None, }, ], } diff --git a/nodedb-types/src/columnar/resolved_dml_wal_record.rs b/nodedb-types/src/columnar/resolved_dml_wal_record.rs index 2b5f16c38..83825df0a 100644 --- a/nodedb-types/src/columnar/resolved_dml_wal_record.rs +++ b/nodedb-types/src/columnar/resolved_dml_wal_record.rs @@ -57,6 +57,14 @@ pub struct ColumnarResolvedDmlWalRecord { pub is_update: bool, /// Every row the Control Plane resolved and the write policy admitted. pub rows: Vec, + /// System-time ordinal every new version an update writes stamps, or at + /// which a delete closes each removed key on a bitemporal collection, + /// raised above the key's bound row at apply. Replay stamps what the + /// live write stamped. `None` for a writer that leaves the stamp to the + /// apply. + #[serde(default)] + #[msgpack(default)] + pub system_from: Option, } #[cfg(test)] @@ -74,6 +82,7 @@ mod tests { pk_msgpack: vec![1, 2, 3], new_row_msgpack: vec![4, 5, 6], }], + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let decoded: ColumnarResolvedDmlWalRecord = zerompk::from_msgpack(&bytes).expect("decode"); @@ -90,6 +99,7 @@ mod tests { pk_msgpack: vec![7], new_row_msgpack: Vec::new(), }], + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let decoded: ColumnarResolvedDmlWalRecord = zerompk::from_msgpack(&bytes).expect("decode"); @@ -106,6 +116,7 @@ mod tests { pk_msgpack: vec![1], new_row_msgpack: Vec::new(), }], + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); assert!(zerompk::from_msgpack::(&bytes).is_err()); diff --git a/nodedb-types/src/columnar/schema.rs b/nodedb-types/src/columnar/schema.rs index 975bbb922..8c8d785e3 100644 --- a/nodedb-types/src/columnar/schema.rs +++ b/nodedb-types/src/columnar/schema.rs @@ -100,7 +100,8 @@ pub struct ColumnarSchema { /// Reserved strict-tuple column names for bitemporal collections. Stored /// in fixed Int64 slots 0/1/2 so the decoder can extract them via a -/// constant-offset jump. +/// constant-offset jump. Slot 0 holds the host engine's system-time key: +/// Origin stores the system-time ordinal there, not milliseconds. pub const BITEMPORAL_SYSTEM_FROM: &str = "__system_from_ms"; pub const BITEMPORAL_VALID_FROM: &str = "__valid_from_ms"; pub const BITEMPORAL_VALID_UNTIL: &str = "__valid_until_ms"; @@ -341,12 +342,28 @@ impl ColumnarSchema { /// by `prepend_bitemporal_columns` on the write path, so its /// presence is a reliable bitemporal signal. pub fn is_bitemporal(&self) -> bool { - self.columns.iter().any(|c| c.name == "_ts_system") + self.ts_system_idx().is_some() } /// Position of the `_ts_system` column, or `None` for non-bitemporal. pub fn ts_system_idx(&self) -> Option { - self.columns.iter().position(|c| c.name == "_ts_system") + self.column_idx(TS_SYSTEM) + } + + /// Position of the `_ts_valid_from` column, or `None` for + /// non-bitemporal. + pub fn ts_valid_from_idx(&self) -> Option { + self.column_idx(TS_VALID_FROM) + } + + /// Position of the `_ts_valid_until` column, or `None` for + /// non-bitemporal. + pub fn ts_valid_until_idx(&self) -> Option { + self.column_idx(TS_VALID_UNTIL) + } + + fn column_idx(&self, name: &str) -> Option { + self.columns.iter().position(|c| c.name == name) } } @@ -432,4 +449,25 @@ mod tests { Err(SchemaError::ZeroVectorDim(_)) )); } + + #[test] + fn bitemporal_columns_resolve_by_reserved_name() { + let schema = ColumnarSchema::new(vec![ + ColumnDef::required(TS_SYSTEM, ColumnType::Int64), + ColumnDef::required(TS_VALID_FROM, ColumnType::Int64), + ColumnDef::required(TS_VALID_UNTIL, ColumnType::Int64), + ColumnDef::required("v", ColumnType::Int64), + ]) + .unwrap(); + assert!(schema.is_bitemporal()); + assert_eq!(schema.ts_system_idx(), Some(0)); + assert_eq!(schema.ts_valid_from_idx(), Some(1)); + assert_eq!(schema.ts_valid_until_idx(), Some(2)); + + let plain = ColumnarSchema::new(vec![ColumnDef::required("v", ColumnType::Int64)]).unwrap(); + assert!(!plain.is_bitemporal()); + assert_eq!(plain.ts_system_idx(), None); + assert_eq!(plain.ts_valid_from_idx(), None); + assert_eq!(plain.ts_valid_until_idx(), None); + } } diff --git a/nodedb-types/src/columnar/truncate_wal_record.rs b/nodedb-types/src/columnar/truncate_wal_record.rs index 508a62914..c1c36c796 100644 --- a/nodedb-types/src/columnar/truncate_wal_record.rs +++ b/nodedb-types/src/columnar/truncate_wal_record.rs @@ -4,9 +4,10 @@ //! //! Rides `RecordType::ColumnarTruncate` (columnar and spatial collections) //! and `RecordType::TimeseriesTruncate` (timeseries collections). The record -//! type says which engine clears the collection, so the payload carries the -//! collection name only; `restart_identity` is a Control-Plane sequence -//! concern applied after dispatch and never enters the Data-Plane record. +//! type says which engine clears the collection. The payload carries the +//! collection name and, for a bitemporal columnar collection, the ordinal its +//! tombstones stamp. `restart_identity` is a Control-Plane sequence concern +//! applied after dispatch and never enters the Data-Plane record. use serde::{Deserialize, Serialize}; @@ -25,6 +26,17 @@ use serde::{Deserialize, Serialize}; pub struct ColumnarTruncateWalRecord { /// Target collection name. pub collection: String, + /// The system-time ordinal at which a truncate of a bitemporal columnar + /// collection closes every current key, raised per key above its bound + /// row. `None` for any other truncate. + #[msgpack(default)] + #[serde(default)] + pub system_from: Option, + /// Erase every row and version even on a bitemporal collection: the + /// clear a backup restore runs before it reinstalls every version. + #[msgpack(default)] + #[serde(default)] + pub erase_history: bool, } #[cfg(test)] @@ -35,6 +47,8 @@ mod tests { fn round_trips() { let rec = ColumnarTruncateWalRecord { collection: "metrics".to_string(), + system_from: Some(42), + erase_history: true, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let back: ColumnarTruncateWalRecord = zerompk::from_msgpack(&bytes).expect("decode"); diff --git a/nodedb-types/src/columnar/wal_record.rs b/nodedb-types/src/columnar/wal_record.rs index 856342d20..a36fa2778 100644 --- a/nodedb-types/src/columnar/wal_record.rs +++ b/nodedb-types/src/columnar/wal_record.rs @@ -67,6 +67,13 @@ pub struct ColumnarWalRecord { #[serde(default)] #[msgpack(default)] pub conflict_policy: Vec, + /// System-time ordinal of the first row of a bitemporal insert. Row `i` + /// of `payload` stamps `system_from + i`. Replay stamps the ordinals the + /// live insert stamped. `None` for a collection that is not bitemporal, + /// and for a writer that leaves the stamp to the apply. + #[serde(default)] + #[msgpack(default)] + pub system_from: Option, } #[cfg(test)] @@ -88,6 +95,7 @@ mod tests { provenance: Some(prov.clone()), surrogates: vec![Surrogate::new(10), Surrogate::new(11), Surrogate::new(12)], conflict_policy: Vec::new(), + system_from: Some(1_700_000_000_000_000_007), }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode ColumnarWalRecord"); @@ -102,6 +110,7 @@ mod tests { decoded.surrogates, vec![Surrogate::new(10), Surrogate::new(11), Surrogate::new(12)] ); + assert_eq!(decoded.system_from, Some(1_700_000_000_000_000_007)); } #[test] @@ -113,6 +122,7 @@ mod tests { provenance: None, surrogates: Vec::new(), conflict_policy: Vec::new(), + system_from: None, }; let bytes = zerompk::to_msgpack_vec(&rec).expect("encode"); let decoded: ColumnarWalRecord = zerompk::from_msgpack(&bytes).expect("decode"); diff --git a/nodedb-types/src/config/tuning/engines.rs b/nodedb-types/src/config/tuning/engines.rs index cc604ba12..a3be769c3 100644 --- a/nodedb-types/src/config/tuning/engines.rs +++ b/nodedb-types/src/config/tuning/engines.rs @@ -110,6 +110,10 @@ pub const DEFAULT_VARLEN_MAX_FRONTIER: usize = 100_000; /// typical keys, so the default bounds one run near 1 GB before its CSR. pub const DEFAULT_MAX_GATHERED_ALGO_EDGES: usize = 10_000_000; +/// Default number of historical CSRs one Data Plane core keeps for +/// `AS OF` graph reads. +pub const DEFAULT_MAX_HISTORICAL_CSR_CACHE_ENTRIES: usize = 8; + /// Graph engine tuning (traversal limits, LCC algorithm). #[derive(Debug, Clone, Serialize, Deserialize)] pub struct GraphTuning { @@ -140,6 +144,13 @@ pub struct GraphTuning { /// rather than answered from part of the graph. #[serde(default = "default_max_gathered_algo_edges")] pub max_gathered_algo_edges: usize, + /// Number of historical CSRs one Data Plane core keeps. An `AS OF` graph + /// read builds the CSR of one collection at one cut from the versioned + /// edge store. Later reads at the same cut reuse it until it is the + /// least recently used past this count. `0` keeps none: every historical + /// read builds its CSR again. + #[serde(default = "default_max_historical_csr_cache_entries")] + pub max_historical_csr_cache_entries: usize, } impl Default for GraphTuning { @@ -152,6 +163,7 @@ impl Default for GraphTuning { varlen_max_results: default_varlen_max_results(), varlen_max_frontier: default_varlen_max_frontier(), max_gathered_algo_edges: default_max_gathered_algo_edges(), + max_historical_csr_cache_entries: default_max_historical_csr_cache_entries(), } } } @@ -177,6 +189,9 @@ fn default_varlen_max_frontier() -> usize { fn default_max_gathered_algo_edges() -> usize { DEFAULT_MAX_GATHERED_ALGO_EDGES } +fn default_max_historical_csr_cache_entries() -> usize { + DEFAULT_MAX_HISTORICAL_CSR_CACHE_ENTRIES +} /// Timeseries engine tuning (memtable budgets, block sizes). #[derive(Debug, Clone, Serialize, Deserialize)] diff --git a/nodedb-types/src/geometry/math.rs b/nodedb-types/src/geometry/math.rs index 0aeb5c52a..1bb5ae0cc 100644 --- a/nodedb-types/src/geometry/math.rs +++ b/nodedb-types/src/geometry/math.rs @@ -2,9 +2,9 @@ //! Spherical geo math on (longitude, latitude) degrees. -/// Mean Earth radius in metres (IUGG R1), the sphere every haversine -/// measure in this crate uses. -const EARTH_RADIUS_M: f64 = 6_371_000.0; +/// Mean Earth radius in metres (IUGG R1), the sphere every haversine and +/// spherical-excess measure uses. +pub const EARTH_RADIUS_M: f64 = 6_371_000.0; /// Haversine distance between two points in meters. /// diff --git a/nodedb-types/src/geometry/mod.rs b/nodedb-types/src/geometry/mod.rs index 376bb2474..f025fb5fe 100644 --- a/nodedb-types/src/geometry/mod.rs +++ b/nodedb-types/src/geometry/mod.rs @@ -1,17 +1,20 @@ // SPDX-License-Identifier: Apache-2.0 -//! GeoJSON-compatible geometry types, spatial reference systems, and -//! spherical geo math. +//! GeoJSON-compatible geometry types, Z / M ordinates, spatial reference +//! systems, and spherical geo math. pub mod math; +pub mod ordinates; pub mod shape; pub mod srid; pub mod tagged; -pub use math::{haversine_bearing, haversine_distance, point_in_polygon}; -pub use shape::{Coord, Geometry}; -pub use srid::{SUPPORTED_SRID_CODES, Srid, UnsupportedSrid}; +pub use math::{EARTH_RADIUS_M, haversine_bearing, haversine_distance, point_in_polygon}; +pub use ordinates::{Dimension, Ordinate, OrdinateError, Ordinates, OrdinatesBuilder, Position}; +pub use shape::{Coord, Geometry, GeometryKind, is_empty_coord}; +pub use srid::{Srid, SridResolver}; pub use tagged::{ - CrsMember, CrsProperties, GeoJsonError, SridGeometry, from_geojson_str, parse_geojson, - parse_geojson_slice, srid_from_crs, + CrsCode, CrsMember, CrsProperties, GeoJsonError, GeoJsonParts, SridGeometry, + decode_stored_geojson, geojson_object, geojson_tree, parse_geojson, parse_geojson_slice, + read_geojson_value, srid_from_crs, stored_geojson_object, }; diff --git a/nodedb-types/src/geometry/ordinates.rs b/nodedb-types/src/geometry/ordinates.rs new file mode 100644 index 000000000..8f5bb3da6 --- /dev/null +++ b/nodedb-types/src/geometry/ordinates.rs @@ -0,0 +1,323 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Z and M ordinates carried beside a 2D [`Geometry`](super::Geometry). +//! +//! A shape holds XY only. Z (height) and M (measure) live in flat arrays, +//! one value per XY coordinate in the traversal order of +//! [`Geometry::coords`](super::Geometry::coords). + +/// Which ordinates every coordinate of a geometry carries. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] +pub enum Dimension { + Xy, + Xyz, + Xym, + Xyzm, +} + +impl Dimension { + /// The dimension with Z when `z`, M when `m`. + pub fn from_flags(z: bool, m: bool) -> Self { + match (z, m) { + (false, false) => Dimension::Xy, + (true, false) => Dimension::Xyz, + (false, true) => Dimension::Xym, + (true, true) => Dimension::Xyzm, + } + } + + pub fn has_z(self) -> bool { + matches!(self, Dimension::Xyz | Dimension::Xyzm) + } + + pub fn has_m(self) -> bool { + matches!(self, Dimension::Xym | Dimension::Xyzm) + } + + /// Number of ordinates per coordinate: 2, 3 or 4 (`ST_CoordDim`). + pub fn coord_dim(self) -> u8 { + 2 + u8::from(self.has_z()) + u8::from(self.has_m()) + } + + /// The PostGIS `ST_Zmflag` code: 0 XY, 1 XYM, 2 XYZ, 3 XYZM. + pub fn zm_flag(self) -> u8 { + u8::from(self.has_m()) + 2 * u8::from(self.has_z()) + } + + /// The WKT dimension tag: empty, `Z`, `M` or `ZM`. + pub fn wkt_tag(self) -> &'static str { + match self { + Dimension::Xy => "", + Dimension::Xyz => "Z", + Dimension::Xym => "M", + Dimension::Xyzm => "ZM", + } + } +} + +impl std::fmt::Display for Dimension { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + f.write_str(match self { + Dimension::Xy => "XY", + Dimension::Xyz => "XYZ", + Dimension::Xym => "XYM", + Dimension::Xyzm => "XYZM", + }) + } +} + +/// One coordinate with its optional Z and M. +#[derive(Debug, Clone, Copy, PartialEq)] +pub struct Position { + pub x: f64, + pub y: f64, + pub z: Option, + pub m: Option, +} + +impl Position { + /// An XY position. + pub fn xy(x: f64, y: f64) -> Self { + Self { + x, + y, + z: None, + m: None, + } + } + + pub fn dimension(&self) -> Dimension { + Dimension::from_flags(self.z.is_some(), self.m.is_some()) + } +} + +/// The Z or M ordinate, for error reports. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum Ordinate { + Z, + M, +} + +impl std::fmt::Display for Ordinate { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + f.write_str(match self { + Ordinate::Z => "Z", + Ordinate::M => "M", + }) + } +} + +/// Why a set of ordinates does not fit a geometry. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum OrdinateError { + #[error("{ordinate} has {actual} values for {expected} coordinates")] + LengthMismatch { + ordinate: Ordinate, + expected: usize, + actual: usize, + }, + #[error("{ordinate} value of coordinate {index} is not finite")] + NonFinite { ordinate: Ordinate, index: usize }, + #[error("coordinate {index} is {found}, earlier coordinates are {expected}")] + MixedDimension { + index: usize, + expected: Dimension, + found: Dimension, + }, +} + +/// Z and M values, one per XY coordinate, or absent. +#[derive(Debug, Clone, PartialEq, Default)] +pub struct Ordinates { + z: Option>, + m: Option>, +} + +impl Ordinates { + /// No Z, no M. + pub fn xy() -> Self { + Self::default() + } + + /// Z and M arrays as given. [`super::SridGeometry::with_ordinates`] + /// checks them against the shape. + pub fn new(z: Option>, m: Option>) -> Self { + Self { + z: z.map(Vec::into_boxed_slice), + m: m.map(Vec::into_boxed_slice), + } + } + + pub fn z(&self) -> Option<&[f64]> { + self.z.as_deref() + } + + pub fn m(&self) -> Option<&[f64]> { + self.m.as_deref() + } + + pub fn dimension(&self) -> Dimension { + Dimension::from_flags(self.z.is_some(), self.m.is_some()) + } + + pub fn is_xy(&self) -> bool { + self.z.is_none() && self.m.is_none() + } + + /// Z and M as owned vectors. + pub fn into_parts(self) -> (Option>, Option>) { + (self.z.map(Vec::from), self.m.map(Vec::from)) + } + + /// Check one value per coordinate and finite values. + pub fn check(&self, coord_count: usize) -> Result<(), OrdinateError> { + check_one(self.z(), Ordinate::Z, coord_count)?; + check_one(self.m(), Ordinate::M, coord_count) + } + + /// The Z and M of coordinate `index`. + pub fn at(&self, index: usize) -> (Option, Option) { + ( + self.z().and_then(|z| z.get(index).copied()), + self.m().and_then(|m| m.get(index).copied()), + ) + } +} + +fn check_one( + values: Option<&[f64]>, + ordinate: Ordinate, + expected: usize, +) -> Result<(), OrdinateError> { + let Some(values) = values else { + return Ok(()); + }; + if values.len() != expected { + return Err(OrdinateError::LengthMismatch { + ordinate, + expected, + actual: values.len(), + }); + } + match values.iter().position(|v| !v.is_finite()) { + Some(index) => Err(OrdinateError::NonFinite { ordinate, index }), + None => Ok(()), + } +} + +/// Collects Z and M while a parser walks coordinates in traversal order. +/// +/// The first coordinate fixes the dimension. A later coordinate with a +/// different one fails with [`OrdinateError::MixedDimension`]. +#[derive(Debug, Clone, Default)] +pub struct OrdinatesBuilder { + dimension: Option, + count: usize, + z: Vec, + m: Vec, +} + +impl OrdinatesBuilder { + /// A builder whose dimension is fixed up front, as a WKT or WKB type + /// tag declares it. + pub fn with_dimension(dimension: Dimension) -> Self { + Self { + dimension: Some(dimension), + ..Self::default() + } + } + + /// The dimension fixed so far. + pub fn dimension(&self) -> Option { + self.dimension + } + + /// Record the Z and M of the next coordinate. + pub fn push(&mut self, z: Option, m: Option) -> Result<(), OrdinateError> { + let found = Dimension::from_flags(z.is_some(), m.is_some()); + let expected = *self.dimension.get_or_insert(found); + if expected != found { + return Err(OrdinateError::MixedDimension { + index: self.count, + expected, + found, + }); + } + if let Some(z) = z { + self.z.push(z); + } + if let Some(m) = m { + self.m.push(m); + } + self.count += 1; + Ok(()) + } + + /// The collected ordinates. A builder with no coordinates and no fixed + /// dimension gives XY. + pub fn finish(self) -> Ordinates { + let dimension = self.dimension.unwrap_or(Dimension::Xy); + Ordinates::new( + dimension.has_z().then_some(self.z), + dimension.has_m().then_some(self.m), + ) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn dimension_codes_match_postgis() { + assert_eq!(Dimension::Xy.zm_flag(), 0); + assert_eq!(Dimension::Xym.zm_flag(), 1); + assert_eq!(Dimension::Xyz.zm_flag(), 2); + assert_eq!(Dimension::Xyzm.zm_flag(), 3); + assert_eq!(Dimension::Xyzm.coord_dim(), 4); + assert_eq!(Dimension::Xym.coord_dim(), 3); + } + + #[test] + fn check_rejects_wrong_length_and_non_finite() { + let o = Ordinates::new(Some(vec![1.0, 2.0]), None); + assert!(o.check(2).is_ok()); + assert_eq!( + o.check(3), + Err(OrdinateError::LengthMismatch { + ordinate: Ordinate::Z, + expected: 3, + actual: 2 + }) + ); + let nan = Ordinates::new(None, Some(vec![f64::NAN])); + assert_eq!( + nan.check(1), + Err(OrdinateError::NonFinite { + ordinate: Ordinate::M, + index: 0 + }) + ); + } + + #[test] + fn builder_refuses_mixed_dimensions() { + let mut b = OrdinatesBuilder::default(); + b.push(Some(1.0), None).unwrap(); + assert_eq!( + b.push(None, None), + Err(OrdinateError::MixedDimension { + index: 1, + expected: Dimension::Xyz, + found: Dimension::Xy + }) + ); + } + + #[test] + fn builder_with_fixed_dimension_and_no_coords_keeps_it() { + let o = OrdinatesBuilder::with_dimension(Dimension::Xyzm).finish(); + assert_eq!(o.dimension(), Dimension::Xyzm); + assert_eq!(o.z(), Some(&[][..])); + } +} diff --git a/nodedb-types/src/geometry/shape.rs b/nodedb-types/src/geometry/shape.rs index 1ed8fda4c..def50f80b 100644 --- a/nodedb-types/src/geometry/shape.rs +++ b/nodedb-types/src/geometry/shape.rs @@ -34,6 +34,92 @@ impl Coord { } } +/// The kind of a geometry, without its coordinates. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] +pub enum GeometryKind { + Point, + LineString, + Polygon, + MultiPoint, + MultiLineString, + MultiPolygon, + GeometryCollection, +} + +impl GeometryKind { + /// The OGC type name, as `ST_GeometryType` and GeoJSON spell it. + pub fn name(self) -> &'static str { + match self { + GeometryKind::Point => "Point", + GeometryKind::LineString => "LineString", + GeometryKind::Polygon => "Polygon", + GeometryKind::MultiPoint => "MultiPoint", + GeometryKind::MultiLineString => "MultiLineString", + GeometryKind::MultiPolygon => "MultiPolygon", + GeometryKind::GeometryCollection => "GeometryCollection", + } + } + + /// The upper-case WKT keyword. + pub fn wkt_keyword(self) -> &'static str { + match self { + GeometryKind::Point => "POINT", + GeometryKind::LineString => "LINESTRING", + GeometryKind::Polygon => "POLYGON", + GeometryKind::MultiPoint => "MULTIPOINT", + GeometryKind::MultiLineString => "MULTILINESTRING", + GeometryKind::MultiPolygon => "MULTIPOLYGON", + GeometryKind::GeometryCollection => "GEOMETRYCOLLECTION", + } + } + + /// The ISO WKB base type code, 1 to 7. + pub fn wkb_code(self) -> u32 { + match self { + GeometryKind::Point => 1, + GeometryKind::LineString => 2, + GeometryKind::Polygon => 3, + GeometryKind::MultiPoint => 4, + GeometryKind::MultiLineString => 5, + GeometryKind::MultiPolygon => 6, + GeometryKind::GeometryCollection => 7, + } + } + + /// The kind with WKB base type code `code`. + pub fn from_wkb_code(code: u32) -> Option { + Some(match code { + 1 => GeometryKind::Point, + 2 => GeometryKind::LineString, + 3 => GeometryKind::Polygon, + 4 => GeometryKind::MultiPoint, + 5 => GeometryKind::MultiLineString, + 6 => GeometryKind::MultiPolygon, + 7 => GeometryKind::GeometryCollection, + _ => return None, + }) + } + + /// The kind GeoJSON names `name`, case-sensitive as RFC 7946 requires. + pub fn from_geojson_name(name: &str) -> Option { + Some(match name { + "Point" => GeometryKind::Point, + "LineString" => GeometryKind::LineString, + "Polygon" => GeometryKind::Polygon, + "MultiPoint" => GeometryKind::MultiPoint, + "MultiLineString" => GeometryKind::MultiLineString, + "MultiPolygon" => GeometryKind::MultiPolygon, + "GeometryCollection" => GeometryKind::GeometryCollection, + _ => return None, + }) + } +} + +/// Whether a coordinate is the NaN pair of an EMPTY point. +pub fn is_empty_coord(c: [f64; 2]) -> bool { + c[0].is_nan() && c[1].is_nan() +} + /// GeoJSON-compatible geometry types. #[derive( Debug, @@ -45,7 +131,6 @@ impl Coord { zerompk::FromMessagePack, )] #[serde(tag = "type")] -#[non_exhaustive] pub enum Geometry { Point { coordinates: [f64; 2], @@ -95,18 +180,121 @@ impl Geometry { /// Get the type name of this geometry. pub fn geometry_type(&self) -> &'static str { + self.kind().name() + } + + /// The EMPTY point. Its two ordinates are NaN, the encoding WKB uses. + pub fn empty_point() -> Self { + Geometry::Point { + coordinates: [f64::NAN, f64::NAN], + } + } + + /// An EMPTY geometry of `kind`. + pub fn empty(kind: GeometryKind) -> Self { + match kind { + GeometryKind::Point => Self::empty_point(), + GeometryKind::LineString => Geometry::LineString { + coordinates: Vec::new(), + }, + GeometryKind::Polygon => Geometry::Polygon { + coordinates: Vec::new(), + }, + GeometryKind::MultiPoint => Geometry::MultiPoint { + coordinates: Vec::new(), + }, + GeometryKind::MultiLineString => Geometry::MultiLineString { + coordinates: Vec::new(), + }, + GeometryKind::MultiPolygon => Geometry::MultiPolygon { + coordinates: Vec::new(), + }, + GeometryKind::GeometryCollection => Geometry::GeometryCollection { + geometries: Vec::new(), + }, + } + } + + /// The kind of this geometry. + pub fn kind(&self) -> GeometryKind { + match self { + Geometry::Point { .. } => GeometryKind::Point, + Geometry::LineString { .. } => GeometryKind::LineString, + Geometry::Polygon { .. } => GeometryKind::Polygon, + Geometry::MultiPoint { .. } => GeometryKind::MultiPoint, + Geometry::MultiLineString { .. } => GeometryKind::MultiLineString, + Geometry::MultiPolygon { .. } => GeometryKind::MultiPolygon, + Geometry::GeometryCollection { .. } => GeometryKind::GeometryCollection, + } + } + + /// Whether the geometry has no coordinates (OGC EMPTY). A point is + /// EMPTY when both its ordinates are NaN. + pub fn is_empty(&self) -> bool { + match self { + Geometry::Point { coordinates } => is_empty_coord(*coordinates), + Geometry::LineString { coordinates } | Geometry::MultiPoint { coordinates } => { + coordinates.is_empty() + } + Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { + coordinates.iter().all(Vec::is_empty) + } + Geometry::MultiPolygon { coordinates } => coordinates + .iter() + .all(|polygon| polygon.iter().all(Vec::is_empty)), + Geometry::GeometryCollection { geometries } => geometries.iter().all(Self::is_empty), + } + } + + /// Number of XY coordinates, in the order [`Geometry::coords`] yields + /// them. An EMPTY point has none. + pub fn coord_count(&self) -> usize { match self { - Geometry::Point { .. } => "Point", - Geometry::LineString { .. } => "LineString", - Geometry::Polygon { .. } => "Polygon", - Geometry::MultiPoint { .. } => "MultiPoint", - Geometry::MultiLineString { .. } => "MultiLineString", - Geometry::MultiPolygon { .. } => "MultiPolygon", - Geometry::GeometryCollection { .. } => "GeometryCollection", + Geometry::Point { coordinates } => usize::from(!is_empty_coord(*coordinates)), + Geometry::LineString { coordinates } | Geometry::MultiPoint { coordinates } => { + coordinates.len() + } + Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { + coordinates.iter().map(Vec::len).sum() + } + Geometry::MultiPolygon { coordinates } => coordinates + .iter() + .flat_map(|polygon| polygon.iter()) + .map(Vec::len) + .sum(), + Geometry::GeometryCollection { geometries } => { + geometries.iter().map(Self::coord_count).sum() + } } } - /// Map every coordinate through `f`, keeping the shape. + /// Every XY coordinate in traversal order: rings in order, polygons in + /// order, collection members in order. Z and M arrays index the same + /// sequence. + pub fn coords(&self) -> Box + '_> { + match self { + Geometry::Point { coordinates } => Box::new( + (!is_empty_coord(*coordinates)) + .then_some(*coordinates) + .into_iter(), + ), + Geometry::LineString { coordinates } | Geometry::MultiPoint { coordinates } => { + Box::new(coordinates.iter().copied()) + } + Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { + Box::new(coordinates.iter().flatten().copied()) + } + Geometry::MultiPolygon { coordinates } => { + Box::new(coordinates.iter().flatten().flatten().copied()) + } + Geometry::GeometryCollection { geometries } => { + Box::new(geometries.iter().flat_map(Self::coords)) + } + } + } + + /// Map every coordinate through `f`, keeping the shape. An EMPTY point + /// stays EMPTY and `f` never sees it. /// /// Stops at the first coordinate `f` rejects and returns its error. pub fn try_map_coords( @@ -114,6 +302,7 @@ impl Geometry { f: &mut impl FnMut([f64; 2]) -> Result<[f64; 2], E>, ) -> Result { Ok(match self { + Geometry::Point { coordinates } if is_empty_coord(*coordinates) => self.clone(), Geometry::Point { coordinates } => Geometry::Point { coordinates: f(*coordinates)?, }, @@ -212,6 +401,40 @@ mod tests { assert_eq!(geometries[0], Geometry::point(11.0, 2.0)); } + #[test] + fn coords_follow_traversal_order_and_skip_an_empty_point() { + let gc = Geometry::GeometryCollection { + geometries: vec![ + Geometry::empty_point(), + Geometry::polygon(vec![vec![[0.0, 0.0], [1.0, 0.0], [0.0, 0.0]]]), + Geometry::point(5.0, 6.0), + ], + }; + let coords: Vec<_> = gc.coords().collect(); + assert_eq!(coords.len(), gc.coord_count()); + assert_eq!(coords, vec![[0.0, 0.0], [1.0, 0.0], [0.0, 0.0], [5.0, 6.0]]); + } + + #[test] + fn every_kind_has_an_empty_form() { + for kind in [ + GeometryKind::Point, + GeometryKind::LineString, + GeometryKind::Polygon, + GeometryKind::MultiPoint, + GeometryKind::MultiLineString, + GeometryKind::MultiPolygon, + GeometryKind::GeometryCollection, + ] { + let g = Geometry::empty(kind); + assert!(g.is_empty(), "{kind:?}"); + assert_eq!(g.kind(), kind); + assert_eq!(g.coord_count(), 0); + assert_eq!(GeometryKind::from_wkb_code(kind.wkb_code()), Some(kind)); + } + assert!(!Geometry::point(0.0, 0.0).is_empty()); + } + #[test] fn try_map_coords_stops_at_first_error() { let line = Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]); diff --git a/nodedb-types/src/geometry/srid.rs b/nodedb-types/src/geometry/srid.rs index 4bb85739d..c017fbd27 100644 --- a/nodedb-types/src/geometry/srid.rs +++ b/nodedb-types/src/geometry/srid.rs @@ -1,169 +1,6 @@ // SPDX-License-Identifier: Apache-2.0 -//! The closed set of coordinate reference systems NodeDB supports. +//! Spatial reference system identifiers. The registry that defines them +//! lives in `nodedb-crs`, which `nodedb-types` never links. -use serde::{Deserialize, Serialize}; - -use crate::bbox::BboxSpace; - -/// Every supported SRID code, comma-separated, for error messages. -pub const SUPPORTED_SRID_CODES: &str = "4326, 32647, 32648, 3375, 3376"; - -/// A spatial reference system identifier, restricted to the systems NodeDB -/// can transform between. -/// -/// The set is closed: an EPSG code outside it is rejected with -/// [`UnsupportedSrid`], never stored. Serialized as its numeric EPSG code. -#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, Default, Serialize, Deserialize)] -#[serde(into = "u32", try_from = "u32")] -pub enum Srid { - /// EPSG:4326, WGS 84 geographic. x is longitude, y is latitude, degrees. - #[default] - Wgs84, - /// EPSG:32647, UTM zone 47N on WGS 84. Metres. - Utm47N, - /// EPSG:32648, UTM zone 48N on WGS 84. Metres. - Utm48N, - /// EPSG:3375, GDM2000 Peninsula RSO. Metres. - PeninsularRso, - /// EPSG:3376, GDM2000 East Malaysia (Borneo) RSO. Metres. - BorneoRso, -} - -/// An SRID code outside the supported set. -#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] -#[error("unsupported SRID {code}; supported: {SUPPORTED_SRID_CODES}")] -pub struct UnsupportedSrid { - pub code: i64, -} - -impl Srid { - /// Every supported SRID, WGS 84 first. - pub const SUPPORTED: [Srid; 5] = [ - Srid::Wgs84, - Srid::Utm47N, - Srid::Utm48N, - Srid::PeninsularRso, - Srid::BorneoRso, - ]; - - /// The EPSG code. - pub const fn code(self) -> u32 { - match self { - Srid::Wgs84 => 4326, - Srid::Utm47N => 32647, - Srid::Utm48N => 32648, - Srid::PeninsularRso => 3375, - Srid::BorneoRso => 3376, - } - } - - /// Resolve an EPSG code. Any code outside [`Srid::SUPPORTED`] fails. - pub fn from_code(code: i64) -> Result { - Srid::SUPPORTED - .into_iter() - .find(|srid| i64::from(srid.code()) == code) - .ok_or(UnsupportedSrid { code }) - } - - /// Whether coordinates are longitude / latitude degrees. A `false` SRID - /// is projected, with coordinates in metres. - pub const fn is_geographic(self) -> bool { - match self { - Srid::Wgs84 => true, - Srid::Utm47N | Srid::Utm48N | Srid::PeninsularRso | Srid::BorneoRso => false, - } - } - - /// The coordinate space bounding boxes in this SRID live in. - pub const fn bbox_space(self) -> BboxSpace { - if self.is_geographic() { - BboxSpace::Geographic - } else { - BboxSpace::Planar - } - } -} - -impl From for u32 { - fn from(srid: Srid) -> u32 { - srid.code() - } -} - -impl TryFrom for Srid { - type Error = UnsupportedSrid; - - fn try_from(code: u32) -> Result { - Srid::from_code(i64::from(code)) - } -} - -impl std::fmt::Display for Srid { - fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { - write!(f, "{}", self.code()) - } -} - -impl zerompk::ToMessagePack for Srid { - fn write(&self, writer: &mut W) -> zerompk::Result<()> { - writer.write_u32(self.code()) - } -} - -impl<'a> zerompk::FromMessagePack<'a> for Srid { - fn read>(reader: &mut R) -> zerompk::Result { - let code = reader.read_u32()?; - Srid::try_from(code).map_err(|e| zerompk::Error::UnknownKey(e.to_string())) - } -} - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn every_supported_code_round_trips() { - for srid in Srid::SUPPORTED { - assert_eq!(Srid::from_code(i64::from(srid.code())), Ok(srid)); - } - } - - #[test] - fn unsupported_code_names_every_supported_code() { - let err = Srid::from_code(2154).unwrap_err(); - let text = err.to_string(); - for srid in Srid::SUPPORTED { - assert!(text.contains(&srid.code().to_string()), "{text}"); - } - assert!(text.contains("2154"), "{text}"); - } - - #[test] - fn only_wgs84_is_geographic() { - assert!(Srid::Wgs84.is_geographic()); - assert_eq!(Srid::Wgs84.bbox_space(), BboxSpace::Geographic); - for srid in &Srid::SUPPORTED[1..] { - assert!(!srid.is_geographic()); - assert_eq!(srid.bbox_space(), BboxSpace::Planar); - } - } - - #[test] - fn default_is_wgs84() { - assert_eq!(Srid::default(), Srid::Wgs84); - } - - #[test] - fn msgpack_round_trip() { - let bytes = zerompk::to_msgpack_vec(&Srid::BorneoRso).unwrap(); - let back: Srid = zerompk::from_msgpack(&bytes).unwrap(); - assert_eq!(back, Srid::BorneoRso); - } - - #[test] - fn msgpack_rejects_unknown_code() { - let bytes = zerompk::to_msgpack_vec(&2154u32).unwrap(); - assert!(zerompk::from_msgpack::(&bytes).is_err()); - } -} +pub use nodedb_srid::{Srid, SridResolver}; diff --git a/nodedb-types/src/geometry/tagged.rs b/nodedb-types/src/geometry/tagged.rs deleted file mode 100644 index be786e583..000000000 --- a/nodedb-types/src/geometry/tagged.rs +++ /dev/null @@ -1,368 +0,0 @@ -// SPDX-License-Identifier: Apache-2.0 - -//! A geometry tagged with its spatial reference system, and its GeoJSON form. -//! -//! GeoJSON (RFC 7946) fixes the reference system to WGS 84. A geometry in any -//! other SRID carries the 2008 GeoJSON `crs` member: -//! `"crs":{"type":"name","properties":{"name":"EPSG:"}}`. A WGS 84 -//! geometry writes no `crs` member, so its text stays plain RFC 7946. - -use serde::de::Error as _; -use serde::{Deserialize, Deserializer, Serialize, Serializer}; - -use super::shape::Geometry; -use super::srid::{Srid, UnsupportedSrid}; -use crate::bbox::{BoundingBox, geometry_bbox_in}; - -/// A geometry and the SRID its coordinates are in. -#[derive(Debug, Clone, PartialEq)] -pub struct SridGeometry { - pub srid: Srid, - pub geometry: Geometry, -} - -impl SridGeometry { - pub fn new(srid: Srid, geometry: Geometry) -> Self { - Self { srid, geometry } - } - - /// A geometry in WGS 84, the SRID of untagged GeoJSON. - pub fn wgs84(geometry: Geometry) -> Self { - Self::new(Srid::Wgs84, geometry) - } - - /// The same SRID around a different geometry. - pub fn with_geometry(&self, geometry: Geometry) -> Self { - Self::new(self.srid, geometry) - } - - /// Bounding box in the coordinate space of this SRID. - pub fn bbox(&self) -> BoundingBox { - geometry_bbox_in(&self.geometry, self.srid.bbox_space()) - } - - /// Read a geometry out of a document field value. - /// - /// Accepts the three stored forms: a native `Value::Geometry`, a GeoJSON - /// string, and a GeoJSON object decoded from a document. Any other value, - /// or GeoJSON that does not parse, gives `None`. - pub fn from_value(value: &crate::Value) -> Option { - match value { - crate::Value::Geometry(g) => Some(g.clone()), - crate::Value::String(s) => from_geojson_str(s), - crate::Value::Object(_) => { - let json = serde_json::Value::from(value.clone()); - serde_json::from_value(json).ok() - } - _ => None, - } - } -} - -impl From for SridGeometry { - fn from(geometry: Geometry) -> Self { - Self::wgs84(geometry) - } -} - -/// A total, deterministic text form. A WGS 84 geometry renders as its shape. -/// Any other SRID gets an EWKT-style `SRID=;` prefix. -impl std::fmt::Display for SridGeometry { - fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { - match self.srid { - Srid::Wgs84 => write!(f, "{:?}", self.geometry), - Srid::Utm47N | Srid::Utm48N | Srid::PeninsularRso | Srid::BorneoRso => { - write!(f, "SRID={};{:?}", self.srid.code(), self.geometry) - } - } - } -} - -/// Why a GeoJSON text does not yield a [`SridGeometry`]. -#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] -pub enum GeoJsonError { - #[error("malformed GeoJSON geometry")] - Malformed, - #[error("unrecognized GeoJSON crs name {name:?}")] - UnknownCrsName { name: String }, - #[error(transparent)] - UnsupportedSrid(#[from] UnsupportedSrid), -} - -/// The GeoJSON 2008 named `crs` member. -#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)] -pub struct CrsMember { - #[serde(rename = "type")] - pub kind: String, - pub properties: CrsProperties, -} - -#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)] -pub struct CrsProperties { - pub name: String, -} - -/// The `type` value of a named `crs` member. -const CRS_KIND_NAME: &str = "name"; - -/// OGC URN prefix that ends in a version segment and then an EPSG code. -const OGC_EPSG_URN_PREFIX: &str = "urn:ogc:def:crs:epsg:"; - -/// The OGC URNs for WGS 84 in longitude / latitude order. -const OGC_CRS84_URNS: [&str; 2] = [ - "urn:ogc:def:crs:ogc:1.3:crs84", - "urn:ogc:def:crs:ogc::crs84", -]; - -impl CrsMember { - fn for_srid(srid: Srid) -> Self { - Self { - kind: CRS_KIND_NAME.to_string(), - properties: CrsProperties { - name: format!("EPSG:{}", srid.code()), - }, - } - } -} - -/// Resolve an optional `crs` member to an SRID. No member means WGS 84. -/// -/// Accepts `EPSG:`, `urn:ogc:def:crs:EPSG:[version]:` and the OGC -/// CRS84 URNs. Names compare without regard to ASCII case. -pub fn srid_from_crs(crs: Option<&CrsMember>) -> Result { - let Some(member) = crs else { - return Ok(Srid::Wgs84); - }; - let name = member.properties.name.trim(); - let unknown = || GeoJsonError::UnknownCrsName { - name: name.to_string(), - }; - if !member.kind.eq_ignore_ascii_case(CRS_KIND_NAME) { - return Err(unknown()); - } - let lower = name.to_ascii_lowercase(); - if OGC_CRS84_URNS.contains(&lower.as_str()) { - return Ok(Srid::Wgs84); - } - let code_text = if let Some(code) = lower.strip_prefix("epsg:") { - code - } else if let Some(rest) = lower.strip_prefix(OGC_EPSG_URN_PREFIX) { - // `rest` is `:`. The version can be empty. - rest.rsplit_once(':') - .map(|(_, code)| code) - .ok_or_else(unknown)? - } else { - return Err(unknown()); - }; - let code: i64 = code_text.parse().map_err(|_| unknown())?; - Ok(Srid::from_code(code)?) -} - -/// Only the `crs` member of a GeoJSON object. Every other key is skipped -/// without being built, so probing costs one shallow pass. -#[derive(Deserialize)] -struct CrsProbe { - #[serde(default)] - crs: Option, -} - -/// Parse GeoJSON text into a [`SridGeometry`]. -/// -/// The geometry parses through its own derive. The `crs` member is then read -/// by a separate shallow probe, so the common untagged case never buffers -/// the document. Uses `sonic_rs` per workspace policy. -pub fn parse_geojson(text: &str) -> Result { - let geometry: Geometry = sonic_rs::from_str(text).map_err(|_| GeoJsonError::Malformed)?; - let probe: CrsProbe = sonic_rs::from_str(text).map_err(|_| GeoJsonError::Malformed)?; - let srid = srid_from_crs(probe.crs.as_ref())?; - Ok(SridGeometry::new(srid, geometry)) -} - -/// [`parse_geojson`] over raw UTF-8 bytes. -pub fn parse_geojson_slice(bytes: &[u8]) -> Result { - let text = std::str::from_utf8(bytes).map_err(|_| GeoJsonError::Malformed)?; - parse_geojson(text) -} - -/// Parse a GeoJSON string into a [`SridGeometry`]. -/// -/// Shared by every storage/read path that meets geometry stored as a JSON -/// string rather than a native value: SQL `ST_Point(...)` inserts serialize -/// to a GeoJSON string, while schemaless document writes and -/// `Value::Geometry` keep the native form. The document index build, the -/// spatial read path and the columnar geometry index all read through here. -/// -/// Returns `None` on malformed JSON, non-geometry JSON, or a `crs` member -/// naming an unsupported SRID. -pub fn from_geojson_str(s: &str) -> Option { - parse_geojson(s).ok() -} - -#[derive(Serialize)] -struct SridGeometryOut<'a> { - #[serde(flatten)] - geometry: &'a Geometry, - #[serde(skip_serializing_if = "Option::is_none")] - crs: Option, -} - -#[derive(Deserialize)] -struct SridGeometryIn { - #[serde(flatten)] - geometry: Geometry, - #[serde(default)] - crs: Option, -} - -impl Serialize for SridGeometry { - fn serialize(&self, serializer: S) -> Result { - let crs = match self.srid { - Srid::Wgs84 => None, - Srid::Utm47N | Srid::Utm48N | Srid::PeninsularRso | Srid::BorneoRso => { - Some(CrsMember::for_srid(self.srid)) - } - }; - SridGeometryOut { - geometry: &self.geometry, - crs, - } - .serialize(serializer) - } -} - -impl<'de> Deserialize<'de> for SridGeometry { - fn deserialize>(deserializer: D) -> Result { - let raw = SridGeometryIn::deserialize(deserializer)?; - let srid = srid_from_crs(raw.crs.as_ref()).map_err(D::Error::custom)?; - Ok(SridGeometry::new(srid, raw.geometry)) - } -} - -/// MessagePack form: `[srid_code_u32, geometry]`. -impl zerompk::ToMessagePack for SridGeometry { - fn write(&self, writer: &mut W) -> zerompk::Result<()> { - writer.write_array_len(2)?; - self.srid.write(writer)?; - self.geometry.write(writer) - } -} - -impl<'a> zerompk::FromMessagePack<'a> for SridGeometry { - fn read>(reader: &mut R) -> zerompk::Result { - let len = reader.read_array_len()?; - if len != 2 { - return Err(zerompk::Error::ArrayLengthMismatch { - expected: 2, - actual: len, - }); - } - let srid = Srid::read(reader)?; - let geometry = Geometry::read(reader)?; - Ok(SridGeometry::new(srid, geometry)) - } -} - -#[cfg(test)] -mod tests { - use super::*; - - fn crs(name: &str) -> CrsMember { - CrsMember { - kind: "name".into(), - properties: CrsProperties { name: name.into() }, - } - } - - #[test] - fn wgs84_writes_no_crs_member() { - let g = SridGeometry::wgs84(Geometry::point(1.0, 2.0)); - let json = sonic_rs::to_string(&g).unwrap(); - assert!(!json.contains("crs"), "{json}"); - assert!(json.contains("\"type\":\"Point\""), "{json}"); - } - - #[test] - fn projected_geojson_round_trip_keeps_srid() { - let g = SridGeometry::new(Srid::Utm48N, Geometry::point(134445.5, 349624.7)); - let json = sonic_rs::to_string(&g).unwrap(); - assert!(json.contains("\"name\":\"EPSG:32648\""), "{json}"); - assert_eq!(parse_geojson(&json), Ok(g.clone())); - let derived: SridGeometry = sonic_rs::from_str(&json).unwrap(); - assert_eq!(derived, g); - } - - #[test] - fn missing_crs_member_is_wgs84() { - let g = parse_geojson(r#"{"type":"Point","coordinates":[1.0,2.0]}"#).unwrap(); - assert_eq!(g.srid, Srid::Wgs84); - } - - #[test] - fn every_accepted_crs_spelling_resolves() { - assert_eq!( - srid_from_crs(Some(&crs("EPSG:3375"))), - Ok(Srid::PeninsularRso) - ); - assert_eq!( - srid_from_crs(Some(&crs("urn:ogc:def:crs:EPSG::3376"))), - Ok(Srid::BorneoRso) - ); - assert_eq!( - srid_from_crs(Some(&crs("urn:ogc:def:crs:OGC:1.3:CRS84"))), - Ok(Srid::Wgs84) - ); - assert_eq!(srid_from_crs(Some(&crs("epsg:32647"))), Ok(Srid::Utm47N)); - } - - #[test] - fn unsupported_and_unknown_crs_names_fail() { - assert_eq!( - srid_from_crs(Some(&crs("EPSG:2154"))), - Err(GeoJsonError::UnsupportedSrid(UnsupportedSrid { - code: 2154 - })) - ); - assert!(matches!( - srid_from_crs(Some(&crs("urn:x:y"))), - Err(GeoJsonError::UnknownCrsName { .. }) - )); - } - - #[test] - fn from_value_reads_every_stored_form() { - let g = SridGeometry::new(Srid::Utm47N, Geometry::point(1.0, 2.0)); - let text = sonic_rs::to_string(&g).unwrap(); - assert_eq!( - SridGeometry::from_value(&crate::Value::Geometry(g.clone())), - Some(g.clone()) - ); - assert_eq!( - SridGeometry::from_value(&crate::Value::String(text.clone())), - Some(g.clone()) - ); - let json: serde_json::Value = sonic_rs::from_str(&text).unwrap(); - let obj = crate::Value::from(json); - assert_eq!(SridGeometry::from_value(&obj), Some(g)); - } - - #[test] - fn msgpack_round_trip_keeps_srid() { - let g = SridGeometry::new(Srid::BorneoRso, Geometry::point(1.0, 2.0)); - let bytes = zerompk::to_msgpack_vec(&g).unwrap(); - let back: SridGeometry = zerompk::from_msgpack(&bytes).unwrap(); - assert_eq!(back, g); - } - - #[test] - fn display_prefixes_non_wgs84() { - let g = SridGeometry::new(Srid::Utm48N, Geometry::point(1.0, 2.0)); - assert_eq!( - g.to_string(), - "SRID=32648;Point { coordinates: [1.0, 2.0] }" - ); - assert_eq!( - SridGeometry::wgs84(Geometry::point(1.0, 2.0)).to_string(), - "Point { coordinates: [1.0, 2.0] }" - ); - } -} diff --git a/nodedb-types/src/geometry/tagged/crs_member.rs b/nodedb-types/src/geometry/tagged/crs_member.rs new file mode 100644 index 000000000..ac5e1d8b3 --- /dev/null +++ b/nodedb-types/src/geometry/tagged/crs_member.rs @@ -0,0 +1,215 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The GeoJSON 2008 `crs` member. +//! +//! GeoJSON (RFC 7946) fixes the reference system to WGS 84. A geometry in any +//! other SRID carries the 2008 GeoJSON `crs` member: +//! `"crs":{"type":"name","properties":{"name":"EPSG:"}}`, or +//! `NODEDB:` for a NodeDB or user-defined code. A WGS 84 geometry +//! writes no `crs` member, so its text stays plain RFC 7946. +//! Input also accepts the legacy linked form GDAL and old PostGIS write: +//! `"crs":{"type":"EPSG","properties":{"code":}}`. +//! +//! Input paths resolve a `crs` member through a [`SridResolver`], so an +//! undefined SRID is refused. Stored geometry decodes with a syntax check +//! only, so a row written under a CRS that is later dropped still decodes. + +use nodedb_srid::{SridResolver, UnknownSrid, code_from_name}; +use serde::{Deserialize, Serialize}; + +use super::super::srid::Srid; +use super::geojson_read::GeoJsonError; + +/// A GeoJSON 2008 `crs` member: the named form, or the legacy `EPSG` form. +#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)] +pub struct CrsMember { + #[serde(rename = "type")] + pub kind: String, + pub properties: CrsProperties, +} + +/// The `properties` of a `crs` member. The named form sets `name`, the +/// legacy `EPSG` form sets `code`. +#[derive(Debug, Clone, PartialEq, Default, Serialize, Deserialize)] +pub struct CrsProperties { + #[serde(default, skip_serializing_if = "Option::is_none")] + pub name: Option, + #[serde(default, skip_serializing_if = "Option::is_none")] + pub code: Option, +} + +/// The `code` of a legacy `EPSG` member: a number, or a decimal string. +#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)] +#[serde(untagged)] +pub enum CrsCode { + Number(i64), + Text(String), +} + +/// The `type` value of a named `crs` member. +const CRS_KIND_NAME: &str = "name"; + +/// The `type` value of a legacy `EPSG` `crs` member. +const CRS_KIND_EPSG: &str = "EPSG"; + +/// What a `crs` member refers to. +enum CrsRef<'a> { + Name(&'a str), + Code(i64), +} + +impl CrsMember { + pub(super) fn for_srid(srid: Srid) -> Self { + Self { + kind: CRS_KIND_NAME.to_string(), + properties: CrsProperties { + name: Some(srid.crs_name()), + code: None, + }, + } + } + + /// The name or code the member refers to. + fn reference(&self) -> Result, UnknownSrid> { + let invalid = |reason: &str| UnknownSrid::InvalidCrsMember { + reason: reason.into(), + }; + if self.kind.eq_ignore_ascii_case(CRS_KIND_NAME) { + let name = self + .properties + .name + .as_deref() + .ok_or_else(|| invalid("type 'name' has no properties.name"))?; + return Ok(CrsRef::Name(name.trim())); + } + if self.kind.eq_ignore_ascii_case(CRS_KIND_EPSG) { + let code = match &self.properties.code { + Some(CrsCode::Number(n)) => *n, + Some(CrsCode::Text(t)) => t + .trim() + .parse::() + .map_err(|_| invalid("type 'EPSG' has a non-integer properties.code"))?, + None => return Err(invalid("type 'EPSG' has no properties.code")), + }; + return Ok(CrsRef::Code(code)); + } + Err(UnknownSrid::InvalidCrsMember { + reason: format!("type '{}'", self.kind).into(), + }) + } +} + +/// `code` as an SRID, checking the range only. +fn srid_in_range(code: i64) -> Result { + u32::try_from(code) + .ok() + .and_then(|c| Srid::new(c).ok()) + .ok_or(UnknownSrid::OutOfRange { code }) +} + +/// Resolve an optional `crs` member to an SRID `ctx` defines. No member +/// means WGS 84. +/// +/// Names take every form [`SridResolver::resolve_name`] accepts: `EPSG:`, +/// OGC URNs and URLs, the OGC CRS84 names and `SR-ORG:6842`. A legacy +/// `EPSG` member resolves its code. +pub fn srid_from_crs( + crs: Option<&CrsMember>, + ctx: &dyn SridResolver, +) -> Result { + let Some(member) = crs else { + return Ok(Srid::WGS84); + }; + let srid = match member.reference()? { + CrsRef::Name(name) => ctx.resolve_name(name)?, + CrsRef::Code(code) => { + let code = u32::try_from(code).map_err(|_| UnknownSrid::OutOfRange { code })?; + ctx.resolve_u32(code)? + } + }; + Ok(srid) +} + +/// The SRID an optional `crs` member names, checking the member form and +/// the code range only. +pub(super) fn stored_srid_from_crs(crs: Option<&CrsMember>) -> Result { + let Some(member) = crs else { + return Ok(Srid::WGS84); + }; + let code = match member.reference()? { + CrsRef::Name(name) => { + code_from_name(name).ok_or_else(|| UnknownSrid::UnknownName { name: name.into() })? + } + CrsRef::Code(code) => code, + }; + Ok(srid_in_range(code)?) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + + fn crs(name: &str) -> CrsMember { + CrsMember { + kind: "name".into(), + properties: CrsProperties { + name: Some(name.into()), + code: None, + }, + } + } + + fn ctx() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + + #[test] + fn every_accepted_crs_spelling_resolves() { + let ctx = ctx(); + assert_eq!(srid_from_crs(Some(&crs("EPSG:3375")), &ctx), Ok(srid(3375))); + assert_eq!( + srid_from_crs(Some(&crs("urn:ogc:def:crs:EPSG::3376")), &ctx), + Ok(srid(3376)) + ); + assert_eq!( + srid_from_crs(Some(&crs("urn:ogc:def:crs:OGC:1.3:CRS84")), &ctx), + Ok(Srid::WGS84) + ); + assert_eq!( + srid_from_crs(Some(&crs("epsg:32647")), &ctx), + Ok(srid(32647)) + ); + assert_eq!( + srid_from_crs(Some(&crs("SR-ORG:6842")), &ctx), + Ok(Srid::MODIS_SINUSOIDAL) + ); + } + + #[test] + fn undefined_and_unknown_crs_names_fail() { + let ctx = ctx(); + assert_eq!( + srid_from_crs(Some(&crs("EPSG:999")), &ctx), + Err(GeoJsonError::Srid(UnknownSrid::Undefined { code: 999 })) + ); + assert!(matches!( + srid_from_crs(Some(&crs("urn:x:y")), &ctx), + Err(GeoJsonError::Srid(UnknownSrid::UnknownName { .. })) + )); + let linked = CrsMember { + kind: "link".into(), + properties: CrsProperties { + name: Some("x".into()), + code: None, + }, + }; + assert!(matches!( + srid_from_crs(Some(&linked), &ctx), + Err(GeoJsonError::Srid(UnknownSrid::InvalidCrsMember { .. })) + )); + } +} diff --git a/nodedb-types/src/geometry/tagged/geojson_read.rs b/nodedb-types/src/geometry/tagged/geojson_read.rs new file mode 100644 index 000000000..ebca6e36a --- /dev/null +++ b/nodedb-types/src/geometry/tagged/geojson_read.rs @@ -0,0 +1,388 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! GeoJSON geometry reader. +//! +//! A position holds 2 or 3 numbers: x, y and an optional Z. GeoJSON has no +//! M. More than 3 numbers, or 2 and 3 mixed in one geometry, is an error. +//! An empty `coordinates` array is the EMPTY form of its kind. + +use nodedb_srid::{SridResolver, UnknownSrid}; +use serde_json::{Map, Value as Json}; + +use super::super::ordinates::{OrdinateError, Ordinates, OrdinatesBuilder}; +use super::super::shape::{Geometry, GeometryKind}; +use super::crs_member::{CrsMember, srid_from_crs, stored_srid_from_crs}; +use super::srid_geometry::SridGeometry; + +/// Nesting limit for `GeometryCollection` members, the same bound the WKB +/// reader keeps. +const MAX_GEOJSON_DEPTH: usize = 64; + +/// Why a GeoJSON text does not yield a [`SridGeometry`]. +#[derive(Debug, Clone, PartialEq, thiserror::Error)] +pub enum GeoJsonError { + /// The text is not JSON, or the object has no geometry `type`. + #[error("not a GeoJSON geometry")] + NotGeometry, + /// The object names a geometry type but its members do not fit it. + #[error("malformed GeoJSON geometry: {reason}")] + Malformed { reason: Box }, + /// Positions mix 2 and 3 numbers. + #[error("malformed GeoJSON geometry: {0}")] + Ordinates(#[from] OrdinateError), + /// The `crs` member is not a supported form, or does not resolve to a + /// defined SRID. + #[error(transparent)] + Srid(#[from] UnknownSrid), +} + +fn malformed(reason: impl Into>) -> GeoJsonError { + GeoJsonError::Malformed { + reason: reason.into(), + } +} + +/// The parts of a GeoJSON geometry object before its `crs` resolves. +#[derive(Debug, Clone, PartialEq)] +pub struct GeoJsonParts { + pub geometry: Geometry, + pub ordinates: Ordinates, + pub crs: Option, +} + +/// Read a GeoJSON geometry object. +pub fn read_geojson_value(value: &Json) -> Result { + let object = value.as_object().ok_or(GeoJsonError::NotGeometry)?; + let kind = geometry_kind(object)?; + let crs = match object.get("crs") { + None | Some(Json::Null) => None, + Some(member) => Some(serde_json::from_value::(member.clone()).map_err( + |_| UnknownSrid::InvalidCrsMember { + reason: "not an object with type and properties".into(), + }, + )?), + }; + let mut ordinates = OrdinatesBuilder::default(); + let geometry = read_geometry(kind, object, &mut ordinates, MAX_GEOJSON_DEPTH)?; + Ok(GeoJsonParts { + geometry, + ordinates: ordinates.finish(), + crs, + }) +} + +fn geometry_kind(object: &Map) -> Result { + let name = object + .get("type") + .and_then(Json::as_str) + .ok_or(GeoJsonError::NotGeometry)?; + GeometryKind::from_geojson_name(name).ok_or(GeoJsonError::NotGeometry) +} + +fn read_geometry( + kind: GeometryKind, + object: &Map, + ordinates: &mut OrdinatesBuilder, + depth: usize, +) -> Result { + if depth == 0 { + return Err(malformed("GeometryCollection nesting exceeds 64 levels")); + } + if kind == GeometryKind::GeometryCollection { + let members = object + .get("geometries") + .and_then(Json::as_array) + .ok_or_else(|| malformed("GeometryCollection has no geometries array"))?; + let geometries = members + .iter() + .map(|member| { + let member = member + .as_object() + .ok_or_else(|| malformed("GeometryCollection member is not an object"))?; + let member_kind = geometry_kind(member) + .map_err(|_| malformed("GeometryCollection member has no geometry type"))?; + read_geometry(member_kind, member, ordinates, depth - 1) + }) + .collect::>()?; + return Ok(Geometry::GeometryCollection { geometries }); + } + let coords = object + .get("coordinates") + .ok_or_else(|| malformed(format!("{} has no coordinates", kind.name())))?; + Ok(match kind { + GeometryKind::Point => { + let items = array(coords, "Point coordinates")?; + if items.is_empty() { + Geometry::empty_point() + } else { + Geometry::Point { + coordinates: position(coords, ordinates)?, + } + } + } + GeometryKind::LineString => Geometry::LineString { + coordinates: path(coords, ordinates)?, + }, + GeometryKind::MultiPoint => Geometry::MultiPoint { + coordinates: path(coords, ordinates)?, + }, + GeometryKind::Polygon => Geometry::Polygon { + coordinates: paths(coords, ordinates)?, + }, + GeometryKind::MultiLineString => Geometry::MultiLineString { + coordinates: paths(coords, ordinates)?, + }, + GeometryKind::MultiPolygon => Geometry::MultiPolygon { + coordinates: array(coords, "MultiPolygon coordinates")? + .iter() + .map(|polygon| paths(polygon, ordinates)) + .collect::>()?, + }, + GeometryKind::GeometryCollection => { + return Err(malformed("GeometryCollection takes geometries")); + } + }) +} + +fn array<'a>(value: &'a Json, what: &str) -> Result<&'a Vec, GeoJsonError> { + value + .as_array() + .ok_or_else(|| malformed(format!("{what} is not an array"))) +} + +fn position(value: &Json, ordinates: &mut OrdinatesBuilder) -> Result<[f64; 2], GeoJsonError> { + let items = array(value, "position")?; + if !(2..=3).contains(&items.len()) { + return Err(malformed(format!( + "position has {} numbers; GeoJSON takes 2 or 3", + items.len() + ))); + } + let mut numbers = [0.0f64; 3]; + for (slot, item) in numbers.iter_mut().zip(items) { + *slot = item + .as_f64() + .filter(|n| n.is_finite()) + .ok_or_else(|| malformed("position holds a value that is not a finite number"))?; + } + let z = (items.len() == 3).then_some(numbers[2]); + ordinates.push(z, None)?; + Ok([numbers[0], numbers[1]]) +} + +fn path(value: &Json, ordinates: &mut OrdinatesBuilder) -> Result, GeoJsonError> { + array(value, "coordinates")? + .iter() + .map(|p| position(p, ordinates)) + .collect() +} + +fn paths( + value: &Json, + ordinates: &mut OrdinatesBuilder, +) -> Result>, GeoJsonError> { + array(value, "coordinates")? + .iter() + .map(|p| path(p, ordinates)) + .collect() +} + +/// GeoJSON text as a JSON tree. Uses `sonic_rs` per workspace policy. +fn parse_tree(text: &str) -> Result { + sonic_rs::from_str::(text).map_err(|_| GeoJsonError::NotGeometry) +} + +/// Parse GeoJSON input text into a [`SridGeometry`]. The `crs` member must +/// resolve in `ctx`. +pub fn parse_geojson(text: &str, ctx: &dyn SridResolver) -> Result { + let parts = read_geojson_value(&parse_tree(text)?)?; + let srid = srid_from_crs(parts.crs.as_ref(), ctx)?; + Ok(SridGeometry::with_ordinates( + srid, + parts.geometry, + parts.ordinates, + )?) +} + +/// [`parse_geojson`] over raw UTF-8 bytes. +pub fn parse_geojson_slice( + bytes: &[u8], + ctx: &dyn SridResolver, +) -> Result { + let text = std::str::from_utf8(bytes).map_err(|_| GeoJsonError::NotGeometry)?; + parse_geojson(text, ctx) +} + +/// Decode stored GeoJSON bytes. The `crs` name is checked for form and +/// code range only: whether the SRID is defined is a question for the +/// reader that uses the coordinates. +pub fn decode_stored_geojson(bytes: &[u8]) -> Result { + let text = std::str::from_utf8(bytes).map_err(|_| GeoJsonError::NotGeometry)?; + decode_stored_tree(&parse_tree(text)?) +} + +/// A stored GeoJSON tree as a [`SridGeometry`], `crs` checked for syntax +/// only. +pub(super) fn decode_stored_tree(tree: &Json) -> Result { + let parts = read_geojson_value(tree)?; + let srid = stored_srid_from_crs(parts.crs.as_ref())?; + Ok(SridGeometry::with_ordinates( + srid, + parts.geometry, + parts.ordinates, + )?) +} + +#[cfg(test)] +mod tests { + use super::super::super::ordinates::Dimension; + use super::super::super::srid::Srid; + use super::*; + + fn ctx() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + + #[test] + fn missing_crs_member_is_wgs84() { + let g = parse_geojson(r#"{"type":"Point","coordinates":[1.0,2.0]}"#, &ctx()).unwrap(); + assert_eq!(g.srid, Srid::WGS84); + assert_eq!(g.dimension(), Dimension::Xy); + } + + #[test] + fn three_numbers_are_z() { + let g = parse_geojson( + r#"{"type":"LineString","coordinates":[[1,2,3],[4,5,6]]}"#, + &ctx(), + ) + .unwrap(); + assert_eq!(g.ordinates().z(), Some(&[3.0, 6.0][..])); + assert_eq!(g.ordinates().m(), None); + } + + #[test] + fn four_numbers_and_mixed_arity_fail() { + assert!(matches!( + parse_geojson(r#"{"type":"Point","coordinates":[1,2,3,4]}"#, &ctx()), + Err(GeoJsonError::Malformed { .. }) + )); + assert!(matches!( + parse_geojson( + r#"{"type":"LineString","coordinates":[[1,2,3],[4,5]]}"#, + &ctx() + ), + Err(GeoJsonError::Ordinates( + OrdinateError::MixedDimension { .. } + )) + )); + assert!(matches!( + parse_geojson(r#"{"type":"Point","coordinates":[1]}"#, &ctx()), + Err(GeoJsonError::Malformed { .. }) + )); + } + + #[test] + fn collection_members_share_one_dimension() { + let mixed = r#"{"type":"GeometryCollection","geometries":[ + {"type":"Point","coordinates":[1,2,3]}, + {"type":"Point","coordinates":[1,2]}]}"#; + assert!(matches!( + parse_geojson(mixed, &ctx()), + Err(GeoJsonError::Ordinates(_)) + )); + } + + #[test] + fn empty_coordinates_are_empty_geometries() { + for (text, kind) in [ + (r#"{"type":"Point","coordinates":[]}"#, GeometryKind::Point), + ( + r#"{"type":"LineString","coordinates":[]}"#, + GeometryKind::LineString, + ), + ( + r#"{"type":"MultiPolygon","coordinates":[]}"#, + GeometryKind::MultiPolygon, + ), + ( + r#"{"type":"GeometryCollection","geometries":[]}"#, + GeometryKind::GeometryCollection, + ), + ] { + let g = parse_geojson(text, &ctx()).unwrap(); + assert!(g.is_empty(), "{text}"); + assert_eq!(g.geometry().kind(), kind); + } + } + + #[test] + fn non_geometry_json_is_not_geometry() { + assert_eq!( + parse_geojson(r#"{"a":1}"#, &ctx()), + Err(GeoJsonError::NotGeometry) + ); + assert_eq!( + parse_geojson(r#"{"type":"Feature"}"#, &ctx()), + Err(GeoJsonError::NotGeometry) + ); + assert_eq!( + parse_geojson("nope", &ctx()), + Err(GeoJsonError::NotGeometry) + ); + } + + #[test] + fn non_finite_and_non_numeric_positions_fail() { + assert!(matches!( + parse_geojson(r#"{"type":"Point","coordinates":["a",2]}"#, &ctx()), + Err(GeoJsonError::Malformed { .. }) + )); + } + + /// The legacy `EPSG` member GDAL and old PostGIS write resolves its + /// code, as a number or a decimal string. + #[test] + fn legacy_epsg_member_resolves() { + let ctx = ctx(); + let numeric = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"EPSG","properties":{"code":32648}}}"#; + assert_eq!( + parse_geojson(numeric, &ctx).map(|g| g.srid), + Ok(srid(32648)) + ); + let text = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"EPSG","properties":{"code":"3375"}}}"#; + assert_eq!(parse_geojson(text, &ctx).map(|g| g.srid), Ok(srid(3375))); + assert_eq!( + decode_stored_geojson(numeric.as_bytes()).map(|g| g.srid), + Ok(srid(32648)) + ); + let undefined = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"EPSG","properties":{"code":999}}}"#; + assert_eq!( + parse_geojson(undefined, &ctx), + Err(GeoJsonError::Srid(UnknownSrid::Undefined { code: 999 })) + ); + let no_code = + r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"EPSG","properties":{}}}"#; + assert!(matches!( + parse_geojson(no_code, &ctx), + Err(GeoJsonError::Srid(UnknownSrid::InvalidCrsMember { .. })) + )); + } + + /// A stored decode checks syntax only, so an undefined code decodes. + #[test] + fn stored_decode_checks_syntax_only() { + let text = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"name","properties":{"name":"EPSG:999"}}}"#; + let g = decode_stored_geojson(text.as_bytes()).unwrap(); + assert_eq!(g.srid, srid(999)); + let zero = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"name","properties":{"name":"EPSG:0"}}}"#; + assert_eq!( + decode_stored_geojson(zero.as_bytes()), + Err(GeoJsonError::Srid(UnknownSrid::OutOfRange { code: 0 })) + ); + } +} diff --git a/nodedb-types/src/geometry/tagged/geojson_write.rs b/nodedb-types/src/geometry/tagged/geojson_write.rs new file mode 100644 index 000000000..954d969b7 --- /dev/null +++ b/nodedb-types/src/geometry/tagged/geojson_write.rs @@ -0,0 +1,164 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! GeoJSON writer: serde `Serialize` / `Deserialize` for [`SridGeometry`]. +//! +//! The writer emits Z as the third number of each position and drops M, +//! as PostGIS `ST_AsGeoJSON` does. An EMPTY geometry writes an empty +//! `coordinates` (or `geometries`) array. + +use serde::de::Error as _; +use serde::{Deserialize, Deserializer, Serialize, Serializer}; +use serde_json::{Map, Value as Json}; + +use super::super::shape::Geometry; +use super::super::srid::Srid; +use super::crs_member::CrsMember; +use super::geojson_read::decode_stored_tree; +use super::srid_geometry::SridGeometry; + +/// The GeoJSON object of `g`, `crs` member included for a non-WGS 84 SRID. +pub fn geojson_tree(g: &SridGeometry) -> Json { + let mut z = g.ordinates().z().map(|z| z.iter().copied()); + let mut object = geometry_object(g.geometry(), &mut z); + if g.srid != Srid::WGS84 + && let Ok(member) = serde_json::to_value(CrsMember::for_srid(g.srid)) + { + object.insert("crs".into(), member); + } + Json::Object(object) +} + +/// Z values in traversal order, consumed as positions are written. +type ZIter<'a> = Option>>; + +fn geometry_object(geometry: &Geometry, z: &mut ZIter<'_>) -> Map { + let mut object = Map::new(); + object.insert("type".into(), Json::from(geometry.geometry_type())); + let coordinates = match geometry { + Geometry::Point { .. } if geometry.is_empty() => Json::Array(Vec::new()), + Geometry::Point { coordinates } => position(*coordinates, z), + Geometry::LineString { coordinates } | Geometry::MultiPoint { coordinates } => { + path(coordinates, z) + } + Geometry::Polygon { coordinates } | Geometry::MultiLineString { coordinates } => { + paths(coordinates, z) + } + Geometry::MultiPolygon { coordinates } => { + Json::Array(coordinates.iter().map(|p| paths(p, z)).collect()) + } + Geometry::GeometryCollection { geometries } => { + let members = geometries + .iter() + .map(|member| Json::Object(geometry_object(member, z))) + .collect(); + object.insert("geometries".into(), Json::Array(members)); + return object; + } + }; + object.insert("coordinates".into(), coordinates); + object +} + +fn position(c: [f64; 2], z: &mut ZIter<'_>) -> Json { + let mut numbers = vec![Json::from(c[0]), Json::from(c[1])]; + if let Some(value) = z.as_mut().and_then(Iterator::next) { + numbers.push(Json::from(value)); + } + Json::Array(numbers) +} + +fn path(coords: &[[f64; 2]], z: &mut ZIter<'_>) -> Json { + Json::Array(coords.iter().map(|c| position(*c, z)).collect()) +} + +fn paths(rings: &[Vec<[f64; 2]>], z: &mut ZIter<'_>) -> Json { + Json::Array(rings.iter().map(|ring| path(ring, z)).collect()) +} + +impl Serialize for SridGeometry { + fn serialize(&self, serializer: S) -> Result { + geojson_tree(self).serialize(serializer) + } +} + +/// Deserialization is a stored-data decode: the `crs` name is checked for +/// form and code range only. +impl<'de> Deserialize<'de> for SridGeometry { + fn deserialize>(deserializer: D) -> Result { + let tree = Json::deserialize(deserializer)?; + decode_stored_tree(&tree).map_err(D::Error::custom) + } +} + +#[cfg(test)] +mod tests { + use super::super::super::ordinates::Ordinates; + use super::super::geojson_read::parse_geojson; + use super::*; + + fn ctx() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + + #[test] + fn wgs84_writes_no_crs_member() { + let g = SridGeometry::wgs84(Geometry::point(1.0, 2.0)); + let json = sonic_rs::to_string(&g).unwrap(); + assert!(!json.contains("crs"), "{json}"); + assert!(json.contains("\"type\":\"Point\""), "{json}"); + } + + #[test] + fn projected_round_trip_keeps_srid() { + let g = SridGeometry::new(srid(32648), Geometry::point(134445.5, 349624.7)); + let json = sonic_rs::to_string(&g).unwrap(); + assert!(json.contains("\"name\":\"EPSG:32648\""), "{json}"); + assert_eq!(parse_geojson(&json, &ctx()), Ok(g.clone())); + let derived: SridGeometry = sonic_rs::from_str(&json).unwrap(); + assert_eq!(derived, g); + } + + #[test] + fn writer_emits_z_and_drops_m() { + let zm = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), + Ordinates::new(Some(vec![5.0, 6.0]), Some(vec![7.0, 8.0])), + ) + .unwrap(); + let json = sonic_rs::to_string(&zm).unwrap(); + assert!(json.contains("[1.0,1.0,6.0]"), "{json}"); + let back = parse_geojson(&json, &ctx()).unwrap(); + assert_eq!(back.ordinates().z(), Some(&[5.0, 6.0][..])); + assert_eq!(back.ordinates().m(), None); + } + + #[test] + fn empty_point_round_trips() { + let g = SridGeometry::wgs84(Geometry::empty_point()); + let json = sonic_rs::to_string(&g).unwrap(); + assert!(json.contains("\"coordinates\":[]"), "{json}"); + assert!(parse_geojson(&json, &ctx()).unwrap().is_empty()); + } + + #[test] + fn collection_z_follows_traversal_order() { + let g = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::GeometryCollection { + geometries: vec![ + Geometry::point(1.0, 1.0), + Geometry::line_string(vec![[2.0, 2.0], [3.0, 3.0]]), + ], + }, + Ordinates::new(Some(vec![10.0, 20.0, 30.0]), None), + ) + .unwrap(); + let json = sonic_rs::to_string(&g).unwrap(); + assert_eq!(parse_geojson(&json, &ctx()), Ok(g)); + } +} diff --git a/nodedb-types/src/geometry/tagged/mod.rs b/nodedb-types/src/geometry/tagged/mod.rs new file mode 100644 index 000000000..d11e2e00b --- /dev/null +++ b/nodedb-types/src/geometry/tagged/mod.rs @@ -0,0 +1,15 @@ +// SPDX-License-Identifier: Apache-2.0 + +pub mod crs_member; +pub mod geojson_read; +pub mod geojson_write; +pub mod msgpack; +pub mod srid_geometry; + +pub use crs_member::{CrsCode, CrsMember, CrsProperties, srid_from_crs}; +pub use geojson_read::{ + GeoJsonError, GeoJsonParts, decode_stored_geojson, parse_geojson, parse_geojson_slice, + read_geojson_value, +}; +pub use geojson_write::geojson_tree; +pub use srid_geometry::{SridGeometry, geojson_object, stored_geojson_object}; diff --git a/nodedb-types/src/geometry/tagged/msgpack.rs b/nodedb-types/src/geometry/tagged/msgpack.rs new file mode 100644 index 000000000..b820619c0 --- /dev/null +++ b/nodedb-types/src/geometry/tagged/msgpack.rs @@ -0,0 +1,123 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! MessagePack form of [`SridGeometry`]: `[srid, geometry, z | nil, m | nil]`. +//! +//! `z` and `m` are arrays of one float per XY coordinate in traversal +//! order, or nil when the geometry lacks that ordinate. The SRID is +//! checked for syntax only. + +use super::super::ordinates::Ordinates; +use super::super::shape::Geometry; +use super::super::srid::Srid; +use super::srid_geometry::SridGeometry; +use zerompk::{FromMessagePack, ToMessagePack}; + +/// Number of fields after the array header. +pub const SRID_GEOMETRY_FIELDS: usize = 4; + +/// Write the four fields, without the array header. `Value` writes them +/// after its own type tag. +pub fn write_fields(g: &SridGeometry, writer: &mut W) -> zerompk::Result<()> { + g.srid.write(writer)?; + g.geometry().write(writer)?; + write_ordinate(g.ordinates().z(), writer)?; + write_ordinate(g.ordinates().m(), writer) +} + +fn write_ordinate( + values: Option<&[f64]>, + writer: &mut W, +) -> zerompk::Result<()> { + match values { + Some(values) => { + writer.write_array_len(values.len())?; + values.iter().try_for_each(|v| writer.write_f64(*v)) + } + None => writer.write_nil(), + } +} + +/// Read the four fields, without the array header. Z or M arrays that do +/// not hold one finite value per coordinate fail the decode. +pub fn read_fields<'a, R: zerompk::Read<'a>>(reader: &mut R) -> zerompk::Result { + let srid = Srid::read(reader)?; + let geometry = Geometry::read(reader)?; + let z = Option::>::read(reader)?; + let m = Option::>::read(reader)?; + let expected = geometry.coord_count(); + let actual = z + .as_ref() + .map(Vec::len) + .filter(|len| *len != expected) + .or_else(|| m.as_ref().map(Vec::len).filter(|len| *len != expected)); + SridGeometry::with_ordinates(srid, geometry, Ordinates::new(z, m)).map_err(|_| { + zerompk::Error::ArrayLengthMismatch { + expected, + actual: actual.unwrap_or(expected), + } + }) +} + +impl zerompk::ToMessagePack for SridGeometry { + fn write(&self, writer: &mut W) -> zerompk::Result<()> { + writer.write_array_len(SRID_GEOMETRY_FIELDS)?; + write_fields(self, writer) + } +} + +impl<'a> zerompk::FromMessagePack<'a> for SridGeometry { + fn read>(reader: &mut R) -> zerompk::Result { + let len = reader.read_array_len()?; + if len != SRID_GEOMETRY_FIELDS { + return Err(zerompk::Error::ArrayLengthMismatch { + expected: SRID_GEOMETRY_FIELDS, + actual: len, + }); + } + read_fields(reader) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn round_trip_keeps_srid_z_and_m() { + let g = SridGeometry::with_ordinates( + Srid::new(3376).unwrap(), + Geometry::line_string(vec![[1.0, 2.0], [3.0, 4.0]]), + Ordinates::new(Some(vec![5.0, 6.0]), Some(vec![7.0, 8.0])), + ) + .unwrap(); + let bytes = zerompk::to_msgpack_vec(&g).unwrap(); + let back: SridGeometry = zerompk::from_msgpack(&bytes).unwrap(); + assert_eq!(back, g); + let xy = SridGeometry::new(Srid::WGS84, Geometry::point(1.0, 2.0)); + let bytes = zerompk::to_msgpack_vec(&xy).unwrap(); + assert_eq!(zerompk::from_msgpack::(&bytes).unwrap(), xy); + } + + #[test] + fn empty_point_round_trips() { + let g = SridGeometry::wgs84(Geometry::empty_point()); + let bytes = zerompk::to_msgpack_vec(&g).unwrap(); + let back: SridGeometry = zerompk::from_msgpack(&bytes).unwrap(); + assert!(back.is_empty()); + } + + #[test] + fn wrong_z_length_fails_decode() { + let g = SridGeometry::new(Srid::WGS84, Geometry::point(1.0, 2.0)); + let mut encoded = zerompk::to_msgpack_vec(&g).unwrap(); + // Replace the trailing `nil, nil` with `[1.0, 2.0], nil`. + encoded.truncate(encoded.len() - 2); + encoded.push(0x92); + encoded.push(0xcb); + encoded.extend_from_slice(&1.0f64.to_be_bytes()); + encoded.push(0xcb); + encoded.extend_from_slice(&2.0f64.to_be_bytes()); + encoded.push(0xc0); + assert!(zerompk::from_msgpack::(&encoded).is_err()); + } +} diff --git a/nodedb-types/src/geometry/tagged/srid_geometry.rs b/nodedb-types/src/geometry/tagged/srid_geometry.rs new file mode 100644 index 000000000..9a265b2a8 --- /dev/null +++ b/nodedb-types/src/geometry/tagged/srid_geometry.rs @@ -0,0 +1,408 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! A geometry tagged with its spatial reference system and its Z / M +//! ordinates. + +use nodedb_srid::{SridResolver, UnknownSrid}; + +use super::super::ordinates::{Dimension, OrdinateError, Ordinates, Position}; +use super::super::shape::Geometry; +use super::super::srid::Srid; +use super::crs_member::srid_from_crs; +use super::geojson_read::{GeoJsonError, decode_stored_tree, parse_geojson, read_geojson_value}; +use crate::bbox::{BboxSpace, BoundingBox, geometry_bbox_in}; + +/// A geometry, the SRID its coordinates are in, and its Z / M ordinates. +/// +/// The shape and the ordinates are private so they always agree: Z and M +/// hold one finite value per XY coordinate, in traversal order. +#[derive(Debug, Clone, PartialEq)] +pub struct SridGeometry { + pub srid: Srid, + geometry: Geometry, + ordinates: Ordinates, +} + +impl SridGeometry { + /// An XY geometry. + pub fn new(srid: Srid, geometry: Geometry) -> Self { + Self { + srid, + geometry, + ordinates: Ordinates::xy(), + } + } + + /// A geometry with Z and / or M. Fails when an array does not hold one + /// finite value per coordinate. + pub fn with_ordinates( + srid: Srid, + geometry: Geometry, + ordinates: Ordinates, + ) -> Result { + ordinates.check(geometry.coord_count())?; + Ok(Self { + srid, + geometry, + ordinates, + }) + } + + /// An XY geometry in WGS 84, the SRID of untagged GeoJSON. + pub fn wgs84(geometry: Geometry) -> Self { + Self::new(Srid::WGS84, geometry) + } + + pub fn geometry(&self) -> &Geometry { + &self.geometry + } + + pub fn ordinates(&self) -> &Ordinates { + &self.ordinates + } + + pub fn dimension(&self) -> Dimension { + self.ordinates.dimension() + } + + pub fn has_z(&self) -> bool { + self.dimension().has_z() + } + + pub fn has_m(&self) -> bool { + self.dimension().has_m() + } + + /// Whether the geometry has no coordinates (OGC EMPTY). + pub fn is_empty(&self) -> bool { + self.geometry.is_empty() + } + + pub fn into_parts(self) -> (Srid, Geometry, Ordinates) { + (self.srid, self.geometry, self.ordinates) + } + + /// The same geometry under another SRID label. + pub fn with_srid(mut self, srid: Srid) -> Self { + self.srid = srid; + self + } + + /// The same SRID around a derived XY shape. A derived shape (buffer, + /// hull, envelope) has no Z or M of its own. + pub fn with_geometry(&self, geometry: Geometry) -> Self { + Self::new(self.srid, geometry) + } + + /// The same shape with Z and M dropped (`ST_Force2D`). + pub fn force_2d(&self) -> Self { + Self::new(self.srid, self.geometry.clone()) + } + + /// The same shape in `dimension`. An ordinate the geometry lacks is + /// filled with `fill_z` or `fill_m`. An ordinate `dimension` lacks is + /// dropped. Fails when a fill value is not finite. + pub fn force_dimension( + &self, + dimension: Dimension, + fill_z: f64, + fill_m: f64, + ) -> Result { + let n = self.geometry.coord_count(); + let pick = |want: bool, have: Option<&[f64]>, fill: f64| { + want.then(|| have.map_or_else(|| vec![fill; n], <[f64]>::to_vec)) + }; + let ordinates = Ordinates::new( + pick(dimension.has_z(), self.ordinates.z(), fill_z), + pick(dimension.has_m(), self.ordinates.m(), fill_m), + ); + Self::with_ordinates(self.srid, self.geometry.clone(), ordinates) + } + + /// Every coordinate with its Z and M, in traversal order. + pub fn positions(&self) -> impl Iterator + '_ { + self.geometry.coords().enumerate().map(|(index, [x, y])| { + let (z, m) = self.ordinates.at(index); + Position { x, y, z, m } + }) + } + + /// Map every position through `f`, keeping the shape, the SRID and the + /// dimension. A Z or M `f` returns as `None` keeps the input value. + /// + /// Stops at the first position `f` rejects and returns its error. + pub fn try_map_positions( + &self, + mut f: impl FnMut(Position) -> Result, + ) -> Result { + let dimension = self.dimension(); + let n = self.geometry.coord_count(); + let mut z_out = dimension.has_z().then(|| Vec::with_capacity(n)); + let mut m_out = dimension.has_m().then(|| Vec::with_capacity(n)); + let mut index = 0usize; + let ordinates = &self.ordinates; + let geometry = self.geometry.try_map_coords(&mut |[x, y]| { + let (z, m) = ordinates.at(index); + index += 1; + let p = f(Position { x, y, z, m })?; + if let (Some(out), Some(value)) = (z_out.as_mut(), p.z.or(z)) { + out.push(value); + } + if let (Some(out), Some(value)) = (m_out.as_mut(), p.m.or(m)) { + out.push(value); + } + Ok([p.x, p.y]) + })?; + Ok(Self { + srid: self.srid, + geometry, + ordinates: Ordinates::new(z_out, m_out), + }) + } + + /// Bounding box in the coordinate space of this SRID. Fails when `ctx` + /// does not define the SRID. + pub fn bbox(&self, ctx: &dyn SridResolver) -> Result { + let space = BboxSpace::of(ctx, self.srid)?; + Ok(geometry_bbox_in(&self.geometry, space)) + } + + /// Read a geometry out of a stored document field value. + /// + /// Accepts the three stored forms: a native `Value::Geometry`, a GeoJSON + /// string, and a GeoJSON object decoded from a document. A value that is + /// not a well-formed geometry gives `Ok(None)`. A geometry whose `crs` + /// member is not a supported form, or names an SRID `ctx` does not + /// define, gives `Err`. + pub fn from_value( + value: &crate::Value, + ctx: &dyn SridResolver, + ) -> Result, UnknownSrid> { + let parsed = match value { + crate::Value::Geometry(g) => { + ctx.resolve_u32(g.srid.code())?; + return Ok(Some(g.clone())); + } + crate::Value::String(s) => parse_geojson(s, ctx), + crate::Value::Object(_) => geojson_object(value, ctx), + _ => return Ok(None), + }; + match parsed { + Ok(g) => Ok(Some(g)), + Err(GeoJsonError::Srid(e)) => Err(e), + Err( + GeoJsonError::NotGeometry + | GeoJsonError::Malformed { .. } + | GeoJsonError::Ordinates(_), + ) => Ok(None), + } + } +} + +/// Parse a GeoJSON object held in a document `Value`. The `crs` member +/// must resolve in `ctx`. +pub fn geojson_object( + value: &crate::Value, + ctx: &dyn SridResolver, +) -> Result { + let json = serde_json::Value::from(value.clone()); + let parts = read_geojson_value(&json)?; + let srid = srid_from_crs(parts.crs.as_ref(), ctx)?; + Ok(SridGeometry::with_ordinates( + srid, + parts.geometry, + parts.ordinates, + )?) +} + +/// Decode a stored GeoJSON object held in a document `Value`. The `crs` +/// name is checked for form and code range only. +pub fn stored_geojson_object(value: &crate::Value) -> Result { + decode_stored_tree(&serde_json::Value::from(value.clone())) +} + +impl From for SridGeometry { + fn from(geometry: Geometry) -> Self { + Self::wgs84(geometry) + } +} + +/// A total, deterministic text form. A WGS 84 geometry renders as its +/// shape. Any other SRID gets an EWKT-style `SRID=;` prefix. Z and M +/// follow the shape when present. +impl std::fmt::Display for SridGeometry { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + if self.srid != Srid::WGS84 { + write!(f, "SRID={};", self.srid.code())?; + } + write!(f, "{:?}", self.geometry)?; + if let Some(z) = self.ordinates.z() { + write!(f, " Z={z:?}")?; + } + if let Some(m) = self.ordinates.m() { + write!(f, " M={m:?}")?; + } + Ok(()) + } +} + +#[cfg(test)] +mod tests { + use super::super::super::ordinates::Ordinate; + use super::*; + + fn srid(code: u32) -> Srid { + Srid::new(code).unwrap() + } + + fn ctx() -> nodedb_crs::CrsContext<'static> { + nodedb_crs::CrsContext::builtin_only() + } + + fn line_z() -> SridGeometry { + SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::line_string(vec![[0.0, 0.0], [1.0, 1.0]]), + Ordinates::new(Some(vec![10.0, 20.0]), None), + ) + .unwrap() + } + + #[test] + fn with_ordinates_checks_lengths() { + let err = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![1.0, 2.0]), None), + ); + assert_eq!( + err, + Err(OrdinateError::LengthMismatch { + ordinate: Ordinate::Z, + expected: 1, + actual: 2 + }) + ); + } + + #[test] + fn positions_pair_xy_with_z_and_m() { + let g = line_z(); + let p: Vec = g.positions().collect(); + assert_eq!(p[1].z, Some(20.0)); + assert_eq!(p[1].m, None); + assert_eq!(g.dimension(), Dimension::Xyz); + } + + #[test] + fn derived_shape_drops_z() { + let g = line_z(); + assert_eq!( + g.with_geometry(Geometry::point(0.0, 0.0)).dimension(), + Dimension::Xy + ); + assert_eq!(g.force_2d().dimension(), Dimension::Xy); + } + + #[test] + fn force_dimension_fills_and_drops() { + let g = line_z(); + let zm = g.force_dimension(Dimension::Xyzm, 0.0, 5.0).unwrap(); + assert_eq!(zm.ordinates().z(), Some(&[10.0, 20.0][..])); + assert_eq!(zm.ordinates().m(), Some(&[5.0, 5.0][..])); + let m = g.force_dimension(Dimension::Xym, 0.0, 0.0).unwrap(); + assert_eq!(m.ordinates().z(), None); + } + + #[test] + fn try_map_positions_keeps_dimension() { + let g = line_z(); + let moved = g + .try_map_positions(|p| { + Ok::<_, ()>(Position { + x: p.x + 1.0, + z: p.z.map(|z| z * 2.0), + ..p + }) + }) + .unwrap(); + assert_eq!(moved.ordinates().z(), Some(&[20.0, 40.0][..])); + assert_eq!( + moved.geometry(), + &Geometry::line_string(vec![[1.0, 0.0], [2.0, 1.0]]) + ); + } + + #[test] + fn from_value_reads_every_stored_form() { + let ctx = ctx(); + let g = SridGeometry::new(srid(32647), Geometry::point(1.0, 2.0)); + let text = sonic_rs::to_string(&g).unwrap(); + assert_eq!( + SridGeometry::from_value(&crate::Value::Geometry(g.clone()), &ctx), + Ok(Some(g.clone())) + ); + assert_eq!( + SridGeometry::from_value(&crate::Value::String(text.clone()), &ctx), + Ok(Some(g.clone())) + ); + let json: serde_json::Value = sonic_rs::from_str(&text).unwrap(); + let obj = crate::Value::from(json); + assert_eq!(SridGeometry::from_value(&obj, &ctx), Ok(Some(g))); + assert_eq!( + SridGeometry::from_value(&crate::Value::Integer(1), &ctx), + Ok(None) + ); + } + + #[test] + fn from_value_refuses_an_undefined_srid() { + let g = SridGeometry::new(srid(999), Geometry::point(1.0, 2.0)); + assert_eq!( + SridGeometry::from_value(&crate::Value::Geometry(g), &ctx()), + Err(UnknownSrid::Undefined { code: 999 }) + ); + } + + /// A geometry with an unsupported `crs` member is an error, never + /// "not a geometry". + #[test] + fn from_value_refuses_an_unsupported_crs_member() { + let ctx = ctx(); + let linked = r#"{"type":"Point","coordinates":[1.0,2.0],"crs":{"type":"link","properties":{"href":"x"}}}"#; + assert!(matches!( + SridGeometry::from_value(&crate::Value::String(linked.into()), &ctx), + Err(UnknownSrid::InvalidCrsMember { .. }) + )); + assert_eq!( + SridGeometry::from_value(&crate::Value::String("not json".into()), &ctx), + Ok(None) + ); + } + + #[test] + fn bbox_space_follows_the_crs_kind() { + let ctx = ctx(); + let projected = SridGeometry::new(srid(32650), Geometry::point(5e5, 6e5)); + assert!(projected.bbox(&ctx).is_ok()); + let undefined = SridGeometry::new(srid(999), Geometry::point(1.0, 2.0)); + assert_eq!( + undefined.bbox(&ctx), + Err(UnknownSrid::Undefined { code: 999 }) + ); + } + + #[test] + fn display_prefixes_non_wgs84_and_appends_z() { + let g = SridGeometry::new(srid(32648), Geometry::point(1.0, 2.0)); + assert_eq!( + g.to_string(), + "SRID=32648;Point { coordinates: [1.0, 2.0] }" + ); + assert_eq!( + SridGeometry::wgs84(Geometry::point(1.0, 2.0)).to_string(), + "Point { coordinates: [1.0, 2.0] }" + ); + assert!(line_z().to_string().ends_with(" Z=[10.0, 20.0]")); + } +} diff --git a/nodedb-types/src/hlc.rs b/nodedb-types/src/hlc.rs index e500bcdc2..65f090688 100644 --- a/nodedb-types/src/hlc.rs +++ b/nodedb-types/src/hlc.rs @@ -10,9 +10,9 @@ //! Metadata DDL is not a hot path (hundreds per second at most), so the //! clock is backed by a short-lived mutex rather than atomics. +use crate::wall_clock::wall_now_ns; use std::cmp::Ordering; use std::sync::Mutex; -use std::time::{SystemTime, UNIX_EPOCH}; use serde::{Deserialize, Serialize}; @@ -188,24 +188,6 @@ impl HlcClock { } } -fn wall_now_ns() -> u64 { - SystemTime::now() - .duration_since(UNIX_EPOCH) - .map(|d| d.as_nanos() as u64) - .unwrap_or_else(|_| { - use std::sync::atomic::{AtomicBool, Ordering}; - static LOGGED: AtomicBool = AtomicBool::new(false); - if !LOGGED.swap(true, Ordering::Relaxed) { - tracing::error!( - module = module_path!(), - "system clock is before UNIX_EPOCH; using 0 (epoch) \ - — check NTP/RTC configuration" - ); - } - 0 - }) -} - #[cfg(test)] mod tests { diff --git a/nodedb-types/src/json_msgpack/geometry_ext.rs b/nodedb-types/src/json_msgpack/geometry_ext.rs new file mode 100644 index 000000000..995bbcb7d --- /dev/null +++ b/nodedb-types/src/json_msgpack/geometry_ext.rs @@ -0,0 +1,49 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! Msgpack ext encoding for geometry in standard-msgpack documents. +//! +//! Ext type `3` carries the MessagePack form of a [`SridGeometry`] +//! (`[srid, geometry, z | nil, m | nil]`) as its payload, so a document +//! field keeps its SRID, Z and M. JSON renderings write it as GeoJSON. + +use crate::geometry::SridGeometry; + +/// Ext type byte of a geometry. +pub const EXT_GEOMETRY: i8 = 3; + +/// Write `g` as a geometry ext value. +pub fn write_geometry_ext( + writer: &mut W, + g: &SridGeometry, +) -> zerompk::Result<()> { + let payload = zerompk::to_msgpack_vec(g)?; + writer.write_ext(EXT_GEOMETRY, &payload) +} + +/// The geometry an ext value carries. `None` when `ext_type` is not +/// [`EXT_GEOMETRY`] or the payload does not decode. +pub fn geometry_from_ext(ext_type: i8, payload: &[u8]) -> Option { + if ext_type != EXT_GEOMETRY { + return None; + } + zerompk::from_msgpack(payload).ok() +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::geometry::{Geometry, Ordinates, Srid}; + + #[test] + fn round_trip_keeps_z_m_and_srid() { + let g = SridGeometry::with_ordinates( + Srid::new(32648).unwrap(), + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(); + let payload = zerompk::to_msgpack_vec(&g).unwrap(); + assert_eq!(geometry_from_ext(EXT_GEOMETRY, &payload), Some(g)); + assert_eq!(geometry_from_ext(9, &payload), None); + } +} diff --git a/nodedb-types/src/json_msgpack/mod.rs b/nodedb-types/src/json_msgpack/mod.rs index 09d0cad79..c91af4b23 100644 --- a/nodedb-types/src/json_msgpack/mod.rs +++ b/nodedb-types/src/json_msgpack/mod.rs @@ -1,6 +1,7 @@ // SPDX-License-Identifier: Apache-2.0 pub mod error; +pub mod geometry_ext; pub mod instant_ext; pub mod json_value; pub mod native_cell; @@ -9,6 +10,7 @@ pub mod transcoder; pub mod writer; pub use error::{MsgpackError, MsgpackResult}; +pub use geometry_ext::{EXT_GEOMETRY, geometry_from_ext, write_geometry_ext}; pub use instant_ext::{ EXT_INSTANT_NAIVE, EXT_INSTANT_UTC, INSTANT_EXT_LEN, InstantKind, instant_from_ext, read_instant, write_instant, diff --git a/nodedb-types/src/json_msgpack/reader/json.rs b/nodedb-types/src/json_msgpack/reader/json.rs index 4aea713fc..72d8e0b09 100644 --- a/nodedb-types/src/json_msgpack/reader/json.rs +++ b/nodedb-types/src/json_msgpack/reader/json.rs @@ -2,13 +2,16 @@ //! Msgpack → `serde_json::Value` reader. //! -//! Instant ext values (fixext8 type 1 / 2) become ISO 8601 strings. Every -//! other ext type becomes `null`. +//! Instant ext values (fixext8 type 1 / 2) become ISO 8601 strings. A +//! geometry ext (type 3) becomes its GeoJSON object. Every other ext type +//! becomes `null`. use super::super::error::MsgpackResult; +use super::super::geometry_ext::geometry_from_ext; use super::super::instant_ext::instant_from_ext; use super::cursor::Cursor; use crate::datetime::NdbDateTime; +use crate::geometry::geojson_tree; use crate::value::float_text::float_to_json; /// Deserialize a `serde_json::Value` from MessagePack bytes. @@ -151,30 +154,32 @@ fn read_json_value(c: &mut Cursor<'_>) -> zerompk::Result { c.take_n(5)?; Ok(serde_json::Value::Null) } - 0xD8 => { - c.take_n(17)?; - Ok(serde_json::Value::Null) - } + 0xD8 => read_json_ext(c, 16), 0xC7 => { let l = c.take()? as usize; - c.take_n(1 + l)?; - Ok(serde_json::Value::Null) + read_json_ext(c, l) } 0xC8 => { let l = c.read_u16_be()? as usize; - c.take_n(1 + l)?; - Ok(serde_json::Value::Null) + read_json_ext(c, l) } 0xC9 => { let l = c.read_u32_be()? as usize; - c.take_n(1 + l)?; - Ok(serde_json::Value::Null) + read_json_ext(c, l) } _ => Err(zerompk::Error::InvalidMarker(marker)), } } +/// An ext value of `len` payload bytes: a geometry becomes its GeoJSON +/// object, any other type `null`. +fn read_json_ext(c: &mut Cursor<'_>, len: usize) -> zerompk::Result { + let ext_type = c.take()? as i8; + let payload = c.take_n(len)?; + Ok(geometry_from_ext(ext_type, payload).map_or(serde_json::Value::Null, |g| geojson_tree(&g))) +} + fn read_json_str(c: &mut Cursor<'_>, len: usize) -> zerompk::Result { let bytes = c.take_n(len)?; let s = String::from_utf8(bytes.to_vec()).map_err(|_| zerompk::Error::InvalidMarker(0))?; diff --git a/nodedb-types/src/json_msgpack/reader/native.rs b/nodedb-types/src/json_msgpack/reader/native.rs index 70a900d21..b7cfb6777 100644 --- a/nodedb-types/src/json_msgpack/reader/native.rs +++ b/nodedb-types/src/json_msgpack/reader/native.rs @@ -7,13 +7,14 @@ //! entry point) and `NativeCell::read` (inside a zerompk derive) share it. //! //! Instant ext values (`fixext8` type 1 / 2) become `Value::DateTime` / -//! `Value::NaiveDateTime`. Every other ext marker, and a `fixext8` of any -//! other type, becomes `Value::Null`. Map keys that are not strings are +//! `Value::NaiveDateTime`. A geometry ext (type 3) becomes +//! `Value::Geometry`. Every other ext becomes `Value::Null`. Map keys that are not strings are //! rendered with `Debug`. use zerompk::{Read, SliceReader}; use super::super::error::{MsgpackError, MsgpackResult}; +use super::super::geometry_ext::geometry_from_ext; use super::super::instant_ext::instant_from_ext; use crate::Value; @@ -99,7 +100,10 @@ pub(crate) fn read_native_value<'de, R: Read<'de>>(reader: &mut R) -> zerompk::R }; Ok(match instant { Some((kind, micros)) => kind.from_micros(micros), - None => Value::Null, + None => match geometry_from_ext(ext_type, &payload) { + Some(g) => Value::Geometry(g), + None => Value::Null, + }, }) } other => Err(zerompk::Error::InvalidMarker(other)), diff --git a/nodedb-types/src/json_msgpack/transcoder.rs b/nodedb-types/src/json_msgpack/transcoder.rs index 693e65c55..32554037a 100644 --- a/nodedb-types/src/json_msgpack/transcoder.rs +++ b/nodedb-types/src/json_msgpack/transcoder.rs @@ -6,15 +6,18 @@ //! No intermediate `serde_json::Value` or `nodedb_types::Value`. //! Used ONLY at the outermost pgwire/HTTP layer for client compatibility. //! -//! Instant ext values (fixext8 type 1 / 2) render as ISO 8601 strings. -//! Every other ext type renders as `null`. +//! Instant ext values (fixext8 type 1 / 2) render as ISO 8601 strings. A +//! geometry ext (type 3) renders as GeoJSON. Every other ext type renders as +//! `null`. use std::fmt::Write as _; use super::error::MsgpackResult; +use super::geometry_ext::geometry_from_ext; use super::instant_ext::instant_from_ext; use super::reader::{Cursor, base64_encode}; use crate::datetime::NdbDateTime; +use crate::geometry::geojson_tree; use crate::value::float_text::non_finite_float_text; /// Transcode raw msgpack bytes to a JSON string without intermediate types. @@ -171,24 +174,18 @@ fn transcode_value(c: &mut Cursor<'_>, out: &mut String) -> zerompk::Result<()> c.take_n(5)?; out.push_str("null"); } - 0xD8 => { - c.take_n(17)?; - out.push_str("null"); - } + 0xD8 => transcode_ext(c, out, 16)?, 0xC7 => { let l = c.take()? as usize; - c.take_n(1 + l)?; - out.push_str("null"); + transcode_ext(c, out, l)?; } 0xC8 => { let l = c.read_u16_be()? as usize; - c.take_n(1 + l)?; - out.push_str("null"); + transcode_ext(c, out, l)?; } 0xC9 => { let l = c.read_u32_be()? as usize; - c.take_n(1 + l)?; - out.push_str("null"); + transcode_ext(c, out, l)?; } _ => return Err(zerompk::Error::InvalidMarker(marker)), @@ -196,6 +193,20 @@ fn transcode_value(c: &mut Cursor<'_>, out: &mut String) -> zerompk::Result<()> Ok(()) } +/// An ext value of `len` payload bytes: a geometry renders as GeoJSON, +/// any other type as `null`. +fn transcode_ext(c: &mut Cursor<'_>, out: &mut String, len: usize) -> zerompk::Result<()> { + let ext_type = c.take()? as i8; + let payload = c.take_n(len)?; + match geometry_from_ext(ext_type, payload) + .and_then(|g| sonic_rs::to_string(&geojson_tree(&g)).ok()) + { + Some(json) => out.push_str(&json), + None => out.push_str("null"), + } + Ok(()) +} + fn write_int(out: &mut String, v: i64) { let _ = write!(out, "{v}"); } diff --git a/nodedb-types/src/json_msgpack/writer.rs b/nodedb-types/src/json_msgpack/writer.rs index dd979abd6..4a8f71556 100644 --- a/nodedb-types/src/json_msgpack/writer.rs +++ b/nodedb-types/src/json_msgpack/writer.rs @@ -73,9 +73,9 @@ impl zerompk::ToMessagePack for OrderedMapRef<'_> { /// Write a `nodedb_types::Value` as standard msgpack. /// -/// `Duration`, `Decimal`, and `Geometry` are strings, except a `Decimal` -/// that holds a `u64` above `i64::MAX` (see [`crate::Value::decimal_as_wide_u64`]), -/// which is a `uint64`. `Vector` is a float64 array, `ArrayCell` a map, and +/// `Duration` and `Decimal` are strings, except a `Decimal` that holds a +/// `u64` above `i64::MAX` (see [`crate::Value::decimal_as_wide_u64`]), +/// which is a `uint64`. `Geometry` is the geometry ext (type 3). `Vector` is a float64 array, `ArrayCell` a map, and /// `Range` / `Record` are `nil`. pub(crate) fn write_native_value( writer: &mut W, @@ -113,10 +113,7 @@ pub(crate) fn write_native_value( Some(u) => writer.write_u64(u), None => writer.write_string(&d.to_string()), }, - crate::Value::Geometry(g) => match sonic_rs::to_string(g) { - Ok(s) => writer.write_string(&s), - Err(_) => writer.write_nil(), - }, + crate::Value::Geometry(g) => super::geometry_ext::write_geometry_ext(writer, g), crate::Value::Range { .. } | crate::Value::Record { .. } => writer.write_nil(), crate::Value::Vector(v) => { // A standard msgpack array of float64 values, so pgwire clients diff --git a/nodedb-types/src/lib.rs b/nodedb-types/src/lib.rs index d7a23ed5b..ba33c78b3 100644 --- a/nodedb-types/src/lib.rs +++ b/nodedb-types/src/lib.rs @@ -14,6 +14,7 @@ pub mod config; pub mod quota; pub mod approx; +pub mod array_agg; pub mod array_cell; pub mod array_route; pub mod ascii; @@ -74,6 +75,7 @@ pub mod vector_index_params; pub mod vector_index_stats; pub mod vector_model; pub mod volatility; +pub mod wall_clock; pub mod wire_version; pub mod write_version; @@ -154,4 +156,5 @@ pub use vector_index_stats::{ }; pub use vector_model::{VectorModelEntry, VectorModelMetadata}; pub use volatility::Volatility; +pub use wall_clock::{wall_now_ns, wall_now_ns_i64}; pub use write_version::{ShardVersion, WriteVersion}; diff --git a/nodedb-types/src/sync/wire/delta.rs b/nodedb-types/src/sync/wire/delta.rs index 25acc7ab8..98a12877e 100644 --- a/nodedb-types/src/sync/wire/delta.rs +++ b/nodedb-types/src/sync/wire/delta.rs @@ -56,6 +56,13 @@ pub struct DeltaPushMsg { /// All zeros denotes an unsigned legacy delta. #[serde(default)] pub delta_signature: [u8; 32], + /// The incarnation of the collection the client built this delta + /// against: the `creation_hlc` Origin announced with the collection's + /// descriptor. Origin refuses a delta for an incarnation the collection + /// no longer holds, because a drop and a same-name create replaced it. + /// Every client the handshake admits states one: Origin refuses + /// `Hlc::ZERO` the same way. + pub collection_incarnation: crate::hlc::Hlc, } /// Delta acknowledgment (server → client, 0x11). diff --git a/nodedb-types/src/sync/wire/mod.rs b/nodedb-types/src/sync/wire/mod.rs index 3e222e155..4a86a55af 100644 --- a/nodedb-types/src/sync/wire/mod.rs +++ b/nodedb-types/src/sync/wire/mod.rs @@ -96,7 +96,8 @@ pub use presence::{PeerPresence, PresenceBroadcastMsg, PresenceLeaveMsg, Presenc pub use provenance::SyncProvenance; pub use resync::{ResyncReason, ResyncRequestMsg, ThrottleMsg}; pub use session::{ - HandshakeAckMsg, HandshakeMsg, PingPongMsg, TokenRefreshAckMsg, TokenRefreshMsg, + HandshakeAckMsg, HandshakeMsg, PingPongMsg, SYNC_WIRE_VERSION, SyncWireVersionMismatch, + TokenRefreshAckMsg, TokenRefreshMsg, }; pub use shape::{ ShapeDeltaMsg, ShapeSnapshotMsg, ShapeSubscribeMsg, ShapeUnsubscribeMsg, VectorClockSyncMsg, diff --git a/nodedb-types/src/sync/wire/session.rs b/nodedb-types/src/sync/wire/session.rs index 72e576a46..8b0f172eb 100644 --- a/nodedb-types/src/sync/wire/session.rs +++ b/nodedb-types/src/sync/wire/session.rs @@ -6,6 +6,29 @@ use std::collections::HashMap; use serde::{Deserialize, Serialize}; +/// The sync protocol version this build speaks. A client sends it in +/// [`HandshakeMsg::wire_version`], and a server answers its own in +/// [`HandshakeAckMsg::server_wire_version`]. A server refuses a handshake +/// whose version differs from its own: the two sides frame messages +/// differently, and a frame of the other layout does not decode. +/// +/// It rises whenever the layout of a sync message changes. At version 2, +/// `DeltaPushMsg` carries `collection_incarnation`. +pub const SYNC_WIRE_VERSION: u16 = 2; + +/// A handshake whose sync protocol version differs from the server's. +#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)] +#[error( + "sync wire version {client} does not match the server's {server}: rebuild the client \ + against a nodedb-types release with sync wire version {server}" +)] +pub struct SyncWireVersionMismatch { + /// The version the client's handshake carries. + pub client: u16, + /// The version the server speaks. + pub server: u16, +} + /// Handshake message (client → server, 0x01). #[derive( Debug, Clone, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, @@ -25,12 +48,27 @@ pub struct HandshakeMsg { /// Monotonic epoch counter (incremented on every open). Default 0 for non-Lite peers. #[serde(default)] pub epoch: u64, - /// Wire format version. Server rejects connections with incompatible versions. - /// Missing field deserializes to 0 and is rejected by the server explicitly. + /// Sync protocol version: [`SYNC_WIRE_VERSION`] of the client's build. + /// A server refuses any other version. A missing field reads as 0 and is + /// refused. #[serde(default)] pub wire_version: u16, } +impl HandshakeMsg { + /// `Err` when this handshake's sync protocol version is not this build's + /// [`SYNC_WIRE_VERSION`]. + pub fn check_wire_version(&self) -> Result<(), SyncWireVersionMismatch> { + if self.wire_version == SYNC_WIRE_VERSION { + return Ok(()); + } + Err(SyncWireVersionMismatch { + client: self.wire_version, + server: SYNC_WIRE_VERSION, + }) + } +} + /// Handshake acknowledgment (server → client, 0x02). #[derive( Debug, Clone, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, @@ -47,7 +85,7 @@ pub struct HandshakeAckMsg { /// Fork detection: if true, client must regenerate LiteId and reconnect. #[serde(default)] pub fork_detected: bool, - /// Server's wire format version (for client-side compatibility check). + /// Server's sync protocol version ([`SYNC_WIRE_VERSION`]). #[serde(default)] pub server_wire_version: u16, /// Server-assigned producer ID for this session. 0 if not yet assigned. @@ -63,6 +101,20 @@ pub struct HandshakeAckMsg { pub delta_signing_key: [u8; 32], } +impl HandshakeAckMsg { + /// The version refusal this ack carries: `Some` when the server refused + /// the handshake and speaks a sync protocol version other than this + /// build's [`SYNC_WIRE_VERSION`]. + pub fn wire_version_mismatch(&self) -> Option { + (!self.success && self.server_wire_version != SYNC_WIRE_VERSION).then_some( + SyncWireVersionMismatch { + client: SYNC_WIRE_VERSION, + server: self.server_wire_version, + }, + ) + } +} + /// Token refresh request (client → server, 0x60). /// /// Sent by Lite before the current JWT expires. The client provides @@ -116,7 +168,7 @@ mod tests { client_version: "0.1.0".into(), lite_id: String::new(), epoch: 0, - wire_version: 1, + wire_version: SYNC_WIRE_VERSION, }; let frame = SyncFrame::new_msgpack(SyncMessageType::Handshake, &msg).unwrap(); let bytes = frame.to_bytes(); @@ -124,4 +176,48 @@ mod tests { assert_eq!(bytes[0], SyncFrame::FORMAT_VERSION); assert_eq!(bytes[1], 0x01); } + + /// A handshake at another sync protocol version is refused with the + /// typed mismatch, and an ack refusing at another version names it. + #[test] + fn a_handshake_at_another_wire_version_is_a_typed_mismatch() { + let handshake = |wire_version| HandshakeMsg { + jwt_token: String::new(), + vector_clock: HashMap::new(), + subscribed_shapes: Vec::new(), + client_version: "0.1.0".into(), + lite_id: String::new(), + epoch: 0, + wire_version, + }; + assert_eq!(handshake(SYNC_WIRE_VERSION).check_wire_version(), Ok(())); + assert_eq!( + handshake(1).check_wire_version(), + Err(SyncWireVersionMismatch { + client: 1, + server: SYNC_WIRE_VERSION + }) + ); + + let ack = |success, server_wire_version| HandshakeAckMsg { + success, + session_id: String::new(), + server_clock: HashMap::new(), + error: None, + fork_detected: false, + server_wire_version, + producer_id: 0, + accepted_epoch: 0, + delta_signing_key: [0; 32], + }; + assert_eq!( + ack(false, SYNC_WIRE_VERSION + 1).wire_version_mismatch(), + Some(SyncWireVersionMismatch { + client: SYNC_WIRE_VERSION, + server: SYNC_WIRE_VERSION + 1 + }) + ); + assert_eq!(ack(false, SYNC_WIRE_VERSION).wire_version_mismatch(), None); + assert_eq!(ack(true, SYNC_WIRE_VERSION).wire_version_mismatch(), None); + } } diff --git a/nodedb-types/src/sync/wire/spatial.rs b/nodedb-types/src/sync/wire/spatial.rs index 351160d6a..677f29da9 100644 --- a/nodedb-types/src/sync/wire/spatial.rs +++ b/nodedb-types/src/sync/wire/spatial.rs @@ -25,7 +25,7 @@ use crate::sync::wire::ack_status::AckStatus; /// /// `geometry_bytes` is a MessagePack-serialised /// `nodedb_types::geometry::SridGeometry` produced via -/// `zerompk::to_msgpack_vec(&geometry)`: `[srid_code_u32, geometry]`. +/// `zerompk::to_msgpack_vec(&geometry)`: `[srid_code_u32, geometry, z | nil, m | nil]`. #[derive( Debug, Clone, Serialize, Deserialize, zerompk::ToMessagePack, zerompk::FromMessagePack, )] diff --git a/nodedb-types/src/temporal/ordinal.rs b/nodedb-types/src/temporal/ordinal.rs index 11786081f..1fcbc3b46 100644 --- a/nodedb-types/src/temporal/ordinal.rs +++ b/nodedb-types/src/temporal/ordinal.rs @@ -22,8 +22,8 @@ //! handled by the closed-timestamp wiring; `update_from_remote` is //! exposed here so that wiring has a single canonical API to call. +use crate::wall_clock::wall_now_ns_i64; use std::sync::Mutex; -use std::time::{SystemTime, UNIX_EPOCH}; /// Nanoseconds in one millisecond. pub const NANOS_PER_MS: i64 = 1_000_000; @@ -48,13 +48,26 @@ impl OrdinalClock { /// Return a strictly-greater ordinal than any previously returned value, /// seeded by the current wall-clock nanosecond. pub fn next_ordinal(&self) -> i64 { - let wall = wall_now_ns(); + let wall = wall_now_ns_i64(); let mut st = self.last.lock().unwrap_or_else(|p| p.into_inner()); let next = wall.max(st.saturating_add(1)); *st = next; next } + /// Reserve `count` consecutive ordinals and return the first. Every one + /// is strictly greater than any ordinal handed out or folded in before, + /// and the next [`next_ordinal`](Self::next_ordinal) is greater than the + /// last of them. `count` 0 reserves one. + pub fn reserve(&self, count: usize) -> i64 { + let span = i64::try_from(count.max(1)).unwrap_or(i64::MAX); + let wall = wall_now_ns_i64(); + let mut st = self.last.lock().unwrap_or_else(|p| p.into_inner()); + let first = wall.max(st.saturating_add(1)); + *st = first.saturating_add(span - 1); + first + } + /// Fold a remote peer's observed ordinal into the local clock so the /// next local [`next_ordinal`](Self::next_ordinal) call is strictly /// greater. No-op if the remote value is already behind us. @@ -106,31 +119,6 @@ pub fn calvin_txn_ordinal(epoch_system_ms: i64, position: u32) -> i64 { .saturating_add(i64::from(position)) } -fn wall_now_ns() -> i64 { - SystemTime::now() - .duration_since(UNIX_EPOCH) - .map(|d| { - let ns = d.as_nanos(); - if ns > i64::MAX as u128 { - i64::MAX - } else { - ns as i64 - } - }) - .unwrap_or_else(|_| { - use std::sync::atomic::{AtomicBool, Ordering}; - static LOGGED: AtomicBool = AtomicBool::new(false); - if !LOGGED.swap(true, Ordering::Relaxed) { - tracing::error!( - module = module_path!(), - "system clock is before UNIX_EPOCH; using 0 (epoch) \ - — check NTP/RTC configuration" - ); - } - 0 - }) -} - #[cfg(test)] mod tests { use super::*; @@ -150,7 +138,7 @@ mod tests { fn next_ordinal_tracks_wall_clock_roughly() { let clock = OrdinalClock::new(); let ord = clock.next_ordinal(); - let wall = wall_now_ns(); + let wall = wall_now_ns_i64(); // The ordinal should be within one second of wall clock on any // reasonable machine — proves we're not emitting a pure counter. assert!((ord - wall).abs() < 1_000_000_000, "ord={ord} wall={wall}"); @@ -160,12 +148,28 @@ mod tests { fn update_from_remote_advances_on_greater() { let clock = OrdinalClock::new(); let _ = clock.next_ordinal(); - let remote = wall_now_ns() + 10_000_000_000; // 10s in future + let remote = wall_now_ns_i64() + 10_000_000_000; // 10s in future clock.update_from_remote(remote); let next = clock.next_ordinal(); assert!(next > remote); } + #[test] + fn a_reserved_run_sits_between_its_neighbours() { + let clock = OrdinalClock::new(); + let before = clock.next_ordinal(); + let first = clock.reserve(5); + assert!(first > before); + assert_eq!( + clock.peek(), + first + 4, + "the clock holds the run's last ordinal" + ); + assert!(clock.next_ordinal() > first + 4); + let single = clock.reserve(0); + assert_eq!(clock.peek(), single, "an empty run reserves one ordinal"); + } + #[test] fn update_from_remote_noop_when_behind() { let clock = OrdinalClock::new(); diff --git a/nodedb-types/src/temporal/system_time.rs b/nodedb-types/src/temporal/system_time.rs index 88bc593d3..cae2a484c 100644 --- a/nodedb-types/src/temporal/system_time.rs +++ b/nodedb-types/src/temporal/system_time.rs @@ -2,16 +2,17 @@ //! System-time scope for bitemporal scans. //! -//! Replaces the former `Option` system-AS-OF value with an explicit -//! three-state enum so that the "all versions" (audit-log) mode is -//! representable instead of being an out-of-band sentinel. +//! An explicit enum makes the "all versions" (audit-log) mode and the +//! statement-pinned cut representable, with no out-of-band sentinel. use serde::{Deserialize, Serialize}; /// System-time selection for a temporal scan. /// -/// All timestamps are **milliseconds since Unix epoch**. Valid time is a -/// separate axis and is unaffected by this enum. +/// `AsOf` carries the statement's time in milliseconds since Unix epoch. +/// `Pinned` carries the system-time ordinal the Control Plane pinned for +/// one statement. Valid time is a separate axis and is unaffected by this +/// enum. #[derive( Debug, Clone, @@ -28,8 +29,21 @@ pub enum SystemTimeScope { /// Latest committed version (no `AS OF SYSTEM TIME` clause). #[default] Current, - /// Point-in-time snapshot: the version visible AS OF `ms`. + /// Point-in-time snapshot: the version visible AS OF `ms`. A read at + /// this scope reads at the last ordinal of `ms`, with no cap. AsOf(i64), + /// Point-in-time snapshot at one pinned system-time ordinal: the + /// statement's `AS OF SYSTEM TIME`, capped at the statement's read cut. + /// Every read of the statement reads at `ordinal`, so the statement + /// reads one cut. + Pinned { + /// The ordinal every versioned read of the statement reads at. + ordinal: i64, + /// The Calvin cut marker whose cut caps `ordinal`, `0` when no + /// marker caps it. A serving node waits for the marker before it + /// reads. + cut_marker: u64, + }, /// `AS OF SYSTEM TIME NULL` — every system-time version of each matching /// row, ordered ascending by system time, with the system-time column /// projected into the output (audit-log semantics). @@ -42,20 +56,61 @@ impl SystemTimeScope { !matches!(self, Self::Current) } - /// The point-in-time cutoff, if this is an `AsOf` scope. - pub const fn as_of_ms(&self) -> Option { + /// The point-in-time cutoff in milliseconds, if this is a point-in-time + /// scope. An engine that stamps system time in milliseconds reads at + /// this value. A pinned scope answers the newest millisecond whose every + /// ordinal is at or below its ordinal. A write in the cut's own + /// millisecond can land after the cut, so a cut inside a millisecond + /// reads the millisecond before it, and every read of the statement + /// reads the same rows. + pub fn as_of_ms(&self) -> Option { match self { Self::AsOf(ms) => Some(*ms), + Self::Pinned { ordinal, .. } => Some(whole_ms_at_or_below(*ordinal)), Self::Current | Self::AllVersions => None, } } + /// The point-in-time cutoff as a system-time ordinal. Version keys + /// compare against this value. `AsOf` answers the newest ordinal a + /// write in the cutoff millisecond can carry. `Pinned` answers its + /// ordinal. + pub fn as_of_ordinal(&self) -> Option { + match self { + Self::AsOf(ms) => Some(super::ordinal::ms_to_ordinal_upper(*ms)), + Self::Pinned { ordinal, .. } => Some(*ordinal), + Self::Current | Self::AllVersions => None, + } + } + + /// The pinned ordinal and the cut marker that caps it, when a marker + /// caps a pinned scope. + pub const fn marked_cut(&self) -> Option<(i64, u64)> { + match self { + Self::Pinned { + ordinal, + cut_marker, + } if *cut_marker != 0 => Some((*ordinal, *cut_marker)), + Self::Pinned { .. } | Self::Current | Self::AsOf(_) | Self::AllVersions => None, + } + } + /// True when this scope requests every system-time version. pub const fn is_all_versions(&self) -> bool { matches!(self, Self::AllVersions) } } +/// The newest millisecond whose every ordinal is at or below `ordinal`. +fn whole_ms_at_or_below(ordinal: i64) -> i64 { + let ms = super::ordinal::ordinal_to_ms(ordinal); + if super::ordinal::ms_to_ordinal_upper(ms) <= ordinal { + ms + } else { + ms - 1 + } +} + #[cfg(test)] mod tests { use super::*; @@ -73,6 +128,47 @@ mod tests { assert_eq!(SystemTimeScope::AllVersions.as_of_ms(), None); } + #[test] + fn as_of_ordinal_is_the_last_ordinal_of_the_millisecond() { + assert_eq!( + SystemTimeScope::AsOf(42).as_of_ordinal(), + Some(42 * 1_000_000 + 999_999) + ); + assert_eq!(SystemTimeScope::Current.as_of_ordinal(), None); + assert_eq!(SystemTimeScope::AllVersions.as_of_ordinal(), None); + } + + #[test] + fn a_pinned_scope_reads_at_its_ordinal() { + let pinned = SystemTimeScope::Pinned { + ordinal: 42 * 1_000_000 + 7, + cut_marker: 0, + }; + assert_eq!(pinned.as_of_ordinal(), Some(42 * 1_000_000 + 7)); + assert_eq!( + pinned.as_of_ms(), + Some(41), + "a cut inside 42 reads up to 41" + ); + let whole = SystemTimeScope::Pinned { + ordinal: 42 * 1_000_000 + 999_999, + cut_marker: 0, + }; + assert_eq!( + whole.as_of_ms(), + Some(42), + "a cut at the end of 42 reads 42" + ); + assert!(pinned.is_temporal()); + assert_eq!(pinned.marked_cut(), None); + let marked = SystemTimeScope::Pinned { + ordinal: 9, + cut_marker: 4, + }; + assert_eq!(marked.marked_cut(), Some((9, 4))); + assert_eq!(SystemTimeScope::AsOf(9).marked_cut(), None); + } + #[test] fn all_versions_is_temporal() { assert!(SystemTimeScope::AllVersions.is_temporal()); diff --git a/nodedb-types/src/value/msgpack.rs b/nodedb-types/src/value/msgpack.rs index cb59e8934..e9319c21b 100644 --- a/nodedb-types/src/value/msgpack.rs +++ b/nodedb-types/src/value/msgpack.rs @@ -11,7 +11,7 @@ use std::sync::Arc; use super::core::Value; use crate::array_cell::ArrayCell; use crate::datetime::{NdbDateTime, NdbDuration}; -use crate::geometry::{Geometry, Srid, SridGeometry}; +use crate::geometry::tagged::msgpack::{SRID_GEOMETRY_FIELDS, read_fields, write_fields}; impl zerompk::ToMessagePack for Value { fn write(&self, writer: &mut W) -> zerompk::Result<()> { @@ -80,12 +80,11 @@ impl zerompk::ToMessagePack for Value { writer.write_u8(12)?; writer.write_binary(&d.serialize()) } - // `[13, srid_code_u32, geometry]`. + // `[13, srid_code_u32, geometry, z | nil, m | nil]`. Value::Geometry(g) => { - writer.write_array_len(3)?; + writer.write_array_len(1 + SRID_GEOMETRY_FIELDS)?; writer.write_u8(13)?; - g.srid.write(writer)?; - g.geometry.write(writer) + write_fields(g, writer) } Value::Set(s) => { writer.write_array_len(2)?; @@ -166,15 +165,14 @@ impl<'a> zerompk::FromMessagePack<'a> for Value { Ok(Value::Decimal(rust_decimal::Decimal::deserialize(buf))) } 13 => { - if len != 3 { + if len != 1 + SRID_GEOMETRY_FIELDS { return Err(zerompk::Error::ArrayLengthMismatch { - expected: 3, + expected: 1 + SRID_GEOMETRY_FIELDS, actual: len, }); } - let srid = Srid::read(reader)?; - let geometry = Geometry::read(reader)?; - Ok(Value::Geometry(SridGeometry::new(srid, geometry))) + // A stored SRID is checked for syntax only. + Ok(Value::Geometry(read_fields(reader)?)) } 14 => Ok(Value::Set(Vec::::read(reader)?)), 15 => Ok(Value::Regex(reader.read_string()?.into_owned())), @@ -223,10 +221,26 @@ impl<'a> zerompk::FromMessagePack<'a> for Value { #[cfg(test)] mod tests { use super::*; + use crate::geometry::{Geometry, Ordinates, Srid, SridGeometry}; + + #[test] + fn geometry_round_trip_keeps_z_and_m() { + let g = SridGeometry::with_ordinates( + Srid::WGS84, + Geometry::point(1.0, 2.0), + Ordinates::new(Some(vec![3.0]), Some(vec![4.0])), + ) + .unwrap(); + let value = Value::Geometry(g); + let bytes = zerompk::to_msgpack_vec(&value).unwrap(); + let back: Value = zerompk::from_msgpack(&bytes).unwrap(); + assert_eq!(back, value); + } #[test] fn geometry_round_trip_keeps_srid() { - for srid in Srid::SUPPORTED { + for code in [4326, 32650, 4742, 990_001, 999] { + let srid = Srid::new(code).unwrap(); let value = Value::Geometry(SridGeometry::new(srid, Geometry::point(1.0, 2.0))); let bytes = zerompk::to_msgpack_vec(&value).unwrap(); let back: Value = zerompk::from_msgpack(&bytes).unwrap(); diff --git a/nodedb-types/src/value/sql_literal.rs b/nodedb-types/src/value/sql_literal.rs index 286300150..5995461c9 100644 --- a/nodedb-types/src/value/sql_literal.rs +++ b/nodedb-types/src/value/sql_literal.rs @@ -216,8 +216,11 @@ mod tests { quote_literal("Point { coordinates: [1.0, 2.0] }") ); assert_eq!( - Value::Geometry(SridGeometry::new(Srid::Utm48N, Geometry::point(1.0, 2.0))) - .to_sql_literal(), + Value::Geometry(SridGeometry::new( + Srid::new(32648).unwrap(), + Geometry::point(1.0, 2.0) + )) + .to_sql_literal(), quote_literal("SRID=32648;Point { coordinates: [1.0, 2.0] }") ); assert_eq!( diff --git a/nodedb-types/src/wall_clock.rs b/nodedb-types/src/wall_clock.rs new file mode 100644 index 000000000..e8f3e254b --- /dev/null +++ b/nodedb-types/src/wall_clock.rs @@ -0,0 +1,50 @@ +// SPDX-License-Identifier: Apache-2.0 + +//! The wall clock in nanoseconds since the Unix epoch. Every clock, lease, +//! and cut wait reads wall time here. + +use std::sync::atomic::{AtomicBool, Ordering}; +use std::time::{SystemTime, UNIX_EPOCH}; + +/// Wall-clock nanoseconds since the Unix epoch. A clock before the epoch +/// reads `0` and logs once. A clock past `u64::MAX` saturates. +pub fn wall_now_ns() -> u64 { + u64::try_from(wall_now_nanos()).unwrap_or(u64::MAX) +} + +/// [`wall_now_ns`] as a signed ordinal-space value. A clock past +/// `i64::MAX` (the year 2262) saturates. +pub fn wall_now_ns_i64() -> i64 { + i64::try_from(wall_now_nanos()).unwrap_or(i64::MAX) +} + +fn wall_now_nanos() -> u128 { + match SystemTime::now().duration_since(UNIX_EPOCH) { + Ok(since) => since.as_nanos(), + Err(_) => { + static LOGGED: AtomicBool = AtomicBool::new(false); + if !LOGGED.swap(true, Ordering::Relaxed) { + tracing::error!( + module = module_path!(), + "system clock is before UNIX_EPOCH; using 0 (epoch) \ + — check NTP/RTC configuration" + ); + } + 0 + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn both_accessors_read_one_clock() { + let unsigned = wall_now_ns(); + let signed = wall_now_ns_i64(); + let later = wall_now_ns(); + assert!(unsigned > 0, "the wall clock is past the epoch"); + assert!(u64::try_from(signed).is_ok_and(|s| s >= unsigned && s <= later)); + } +} diff --git a/nodedb/Cargo.toml b/nodedb/Cargo.toml index 06109907b..c1aaf9416 100644 --- a/nodedb/Cargo.toml +++ b/nodedb/Cargo.toml @@ -24,6 +24,7 @@ path = "src/lib.rs" [dependencies] # Internal foundation crates nodedb-types = { workspace = true } +nodedb-crs = { workspace = true } nodedb-columnar = { workspace = true, features = ["diagnostics"] } nodedb-bridge = { workspace = true } nodedb-physical = { workspace = true } @@ -42,6 +43,7 @@ nodedb-graph = { workspace = true } nodedb-vector = { workspace = true } nodedb-array = { workspace = true } nodedb-raster = { workspace = true } +nodedb-raster-load = { workspace = true } nodedb-sql = { workspace = true } arrow = { workspace = true } diff --git a/nodedb/src/bootstrap/catalog_open.rs b/nodedb/src/bootstrap/catalog_open.rs index bf0e03fc0..7ee13b991 100644 --- a/nodedb/src/bootstrap/catalog_open.rs +++ b/nodedb/src/bootstrap/catalog_open.rs @@ -101,6 +101,13 @@ impl CatalogForRead { Self::Repaired(c) => c.list_all_vector_index_params(), } } + + pub(crate) fn load_custom_crs_set(&self) -> crate::Result { + match self { + Self::ReadOnly(c) => c.load_custom_crs_set(), + Self::Repaired(c) => Ok(nodedb_crs::CustomCrsSet::clone(&c.custom_crs_set())), + } + } } impl CollectionSource for CatalogForRead { diff --git a/nodedb/src/bootstrap/data_plane.rs b/nodedb/src/bootstrap/data_plane.rs index 0f578619d..4a68c12fc 100644 --- a/nodedb/src/bootstrap/data_plane.rs +++ b/nodedb/src/bootstrap/data_plane.rs @@ -264,6 +264,39 @@ pub fn load_columnar_schema_seed( .collect() } +/// Load the user-defined CRS set from the durable catalog so each Data Plane +/// core resolves user-defined SRIDs from its first request, WAL replay +/// included. A committed `CREATE` or `DROP SPATIAL_REF_SYS` reaches a running +/// core through `MetaOp::SetCustomCrsSet`; this seed covers the set as of +/// boot. Mirrors [`load_doc_config_registry`]'s fail-open pattern: a catalog +/// open/load failure logs an error and yields an empty set, so a geometry in +/// a user-defined SRID fails to resolve instead of booting being refused. +pub fn load_crs_set_seed(config: &ServerConfig) -> Arc { + let catalog = match CatalogForRead::open(&config.catalog_path()) { + Ok(Some(catalog)) => catalog, + // No catalog yet: a genuine fresh start, nothing to seed. + Ok(None) => return Arc::new(nodedb_crs::CustomCrsSet::new()), + Err(error) => { + tracing::error!( + error = %error, + "catalog exists but could not be opened; cores will boot with an \ + EMPTY user-defined CRS set" + ); + return Arc::new(nodedb_crs::CustomCrsSet::new()); + } + }; + match catalog.load_custom_crs_set() { + Ok(set) => Arc::new(set), + Err(error) => { + tracing::error!( + error = %error, + "failed to load the user-defined CRS set; cores will boot with an EMPTY set" + ); + Arc::new(nodedb_crs::CustomCrsSet::new()) + } + } +} + /// Result of [`spawn_data_plane_cores`]: the core thread handles plus each /// core's WAL-replay-completion signal. pub struct SpawnedDataPlaneCores { @@ -295,6 +328,7 @@ pub struct CoreSharedResources { nodedb_types::columnar::ColumnarSchema, )>, >, + pub crs_set_seed: Arc, } /// Spawn all Data Plane cores, wire dispatcher notifiers, and return core @@ -325,6 +359,7 @@ pub fn spawn_data_plane_cores( doc_config_seed, vector_index_param_seed, columnar_schema_seed, + crs_set_seed, } = resources; let num_cores = config.server.data_plane_cores; let node_id = crate::control::cluster::configured_node_id(config); @@ -368,6 +403,7 @@ pub fn spawn_data_plane_cores( doc_config_seed: Arc::clone(&doc_config_seed), vector_index_param_seed: Arc::clone(&vector_index_param_seed), columnar_schema_seed: Arc::clone(&columnar_schema_seed), + crs_set_seed: Arc::clone(&crs_set_seed), replay_done: replay_done_tx, })?; core_handles.push(handle); diff --git a/nodedb/src/bootstrap/jwks_registry.rs b/nodedb/src/bootstrap/jwks_registry.rs new file mode 100644 index 000000000..19a34b585 --- /dev/null +++ b/nodedb/src/bootstrap/jwks_registry.rs @@ -0,0 +1,50 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Wire the JWKS registry into `SharedState`. +//! +//! The registry is built on every server: static `[auth.jwt]` providers and +//! catalog OIDC providers both verify through it, and a catalog provider can +//! be created at runtime on a server that has no static provider. Every +//! catalog provider the catalog holds at boot is registered here; one created, +//! altered or dropped later registers through its catalog entry's post-apply. + +use std::sync::Arc; + +use tracing::info; + +use crate::ServerConfig; +use crate::control::security::jwks::registry::JwksRegistry; +use crate::control::state::SharedState; + +/// Build the registry, install it, and register the catalog's providers. +pub async fn wire_jwks_registry( + shared: &mut Arc, + config: &ServerConfig, +) -> crate::Result<()> { + let jwt_config = config.auth.jwt.clone().unwrap_or_default(); + let static_count = jwt_config.providers.len(); + let state = Arc::get_mut(shared).ok_or_else(|| crate::Error::Internal { + detail: "JWKS wiring: shared state is already shared before the registry was installed" + .into(), + })?; + let registry = + Arc::new(JwksRegistry::init(jwt_config, Arc::clone(state.remote_sources.egress())).await?); + let catalog_providers = state.credentials.catalog().list_oidc_providers()?; + // The key fetches run detached, so an unreachable provider never holds + // up boot. A token that arrives first fetches its keys itself. + for provider in &catalog_providers { + let target = + registry.register_catalog_provider(&provider.provider_name, &provider.jwks_uri); + let registry = Arc::clone(®istry); + tokio::spawn(async move { + registry.prefetch(&target).await; + }); + } + state.jwks_registry = Some(registry); + info!( + static_providers = static_count, + catalog_providers = catalog_providers.len(), + "JWKS registry initialised" + ); + Ok(()) +} diff --git a/nodedb/src/bootstrap/mod.rs b/nodedb/src/bootstrap/mod.rs index 735077884..8cf48a9ad 100644 --- a/nodedb/src/bootstrap/mod.rs +++ b/nodedb/src/bootstrap/mod.rs @@ -11,10 +11,12 @@ pub mod data_group_recovery; pub mod data_plane; pub mod diagnostics; pub mod index_registry_seed; +pub mod jwks_registry; pub mod listeners; pub mod panic_hook; pub mod permission_tree_load; pub mod quota_replay; +pub mod remote_sources; pub mod schema_rehydrate; pub mod signal; pub mod stall_clock; diff --git a/nodedb/src/bootstrap/remote_sources.rs b/nodedb/src/bootstrap/remote_sources.rs new file mode 100644 index 000000000..5d6699dac --- /dev/null +++ b/nodedb/src/bootstrap/remote_sources.rs @@ -0,0 +1,48 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Wire `[credential_encryption]` into `SharedState`. `SharedState::open` +//! installs the `[egress]` policy and its outbound client. + +use std::sync::Arc; + +use tracing::info; + +use crate::ServerConfig; +use crate::control::security::source_credential::CredentialKek; +use crate::control::state::SharedState; + +/// Install the credential key. A key file that fails its checks stops +/// startup. +pub fn wire_remote_sources( + shared: &mut Arc, + config: &ServerConfig, +) -> crate::Result<()> { + let credential_kek = match &config.credential_encryption { + Some(settings) => { + let reused = config + .encryption + .as_ref() + .is_some_and(|wal| wal.key_file() == Some(settings.key_path.as_path())) + || config + .backup_encryption + .as_ref() + .is_some_and(|backup| backup.key_path == settings.key_path); + if reused { + return Err(crate::Error::Config { + detail: "credential_encryption.key_path names the WAL or backup key file; \ + give credentials a key of their own" + .into(), + }); + } + let kek = CredentialKek::read(&settings.key_path)?; + info!(key_path = %settings.key_path.display(), "credential encryption enabled"); + Some(Arc::new(kek)) + } + None => None, + }; + let state = Arc::get_mut(shared).ok_or_else(|| crate::Error::Internal { + detail: "remote source settings: shared state is already shared before wiring".into(), + })?; + state.remote_sources.credential_kek = credential_kek; + Ok(()) +} diff --git a/nodedb/src/bootstrap/state_wiring.rs b/nodedb/src/bootstrap/state_wiring.rs index e14d0b31e..dae33f3cc 100644 --- a/nodedb/src/bootstrap/state_wiring.rs +++ b/nodedb/src/bootstrap/state_wiring.rs @@ -77,20 +77,8 @@ pub async fn wire_state( root_span.record("node_id", cluster_handle.node_id); } - // Initialise JWKS registry. - if let Some(ref jwt_config) = config.auth.jwt - && !jwt_config.providers.is_empty() - && let Some(state) = Arc::get_mut(shared) - { - let registry = - crate::control::security::jwks::registry::JwksRegistry::init(jwt_config.clone()) - .await?; - state.jwks_registry = Some(Arc::new(registry)); - info!( - "JWKS registry initialised with {} providers", - jwt_config.providers.len() - ); - } + // The JWKS registry verifies static and catalog OIDC providers alike. + super::jwks_registry::wire_jwks_registry(shared, config).await?; // Initialise cold storage (L2 tiering and the WAL archive). if let Some(ref cold_settings) = config.cold_storage { @@ -212,7 +200,7 @@ pub async fn wire_state( state.backup_kek = Some(Arc::new(key_bytes)); } if let Some(ref enc) = config.encryption - && enc.key_path == benc.key_path + && enc.key_file() == Some(benc.key_path.as_path()) { tracing::warn!( path = %benc.key_path.display(), @@ -241,6 +229,8 @@ pub async fn wire_state( } } + super::remote_sources::wire_remote_sources(shared, config)?; + // Wire OTLP trace exporter and misc config fields. if let Some(state) = Arc::get_mut(shared) { let otlp = &config.observability.otlp.export; @@ -248,6 +238,7 @@ pub async fn wire_state( crate::control::trace_export::TraceExporter::new( otlp.endpoint.clone(), std::time::Duration::from_secs(5), + Arc::clone(state.remote_sources.egress()), ) .map_err(|e| crate::Error::Config { detail: format!("OTLP trace exporter: {e}"), @@ -259,6 +250,27 @@ pub async fn wire_state( state.scheduler_config = config.scheduler.clone(); } + // OTLP metrics push. It holds no clone of the shared state, so the + // `Arc::get_mut` installs below still succeed. + let otlp = &config.observability.otlp.export; + let metrics_exporter = crate::control::otel::exporter::ExporterConfig { + endpoint: if otlp.enabled { + otlp.endpoint.clone() + } else { + String::new() + }, + metrics_interval: std::time::Duration::from_secs(otlp.metrics_interval_secs), + export_traces: otlp.enabled, + export_metrics: otlp.enabled, + }; + if crate::control::otel::exporter::spawn_metrics_exporter(shared, metrics_exporter).map_err( + |e| crate::Error::Config { + detail: format!("OTLP metrics exporter: the endpoint fails the [egress] policy: {e}"), + }, + )? { + info!(endpoint = %otlp.endpoint, "OTLP metrics export running"); + } + // The gateway's weak back-reference outlives this call, so every // `Arc::get_mut` install above must run BEFORE it: one placed after // it no-ops. diff --git a/nodedb/src/bootstrap/wal_init.rs b/nodedb/src/bootstrap/wal_init.rs index 0a17aa35b..430d8eef1 100644 --- a/nodedb/src/bootstrap/wal_init.rs +++ b/nodedb/src/bootstrap/wal_init.rs @@ -11,10 +11,15 @@ use crate::wal::WalManager; /// Open, validate, and replay the WAL. Load the tombstone set from redb + WAL. /// +/// `wal_key` is the key `[encryption]` names, loaded by +/// [`crate::control::security::keystore::load_wal_key`]; `None` when the +/// section is absent. +/// /// Returns `(wal, wal_records, tombstones)`. Exits the process on unrecoverable /// corruption — a dirty WAL cannot be safely replayed. pub fn init_wal( config: &ServerConfig, + wal_key: Option, ) -> anyhow::Result<( Arc, Arc<[nodedb_wal::WalRecord]>, @@ -27,11 +32,9 @@ pub fn init_wal( let mut mgr = WalManager::open_with_tuning(&wal_dir, wal_segment_target, &config.tuning.wal) .map_err(|error| wal_open_error(&wal_dir, error))?; - if let Some(ref enc) = config.encryption { - let key = nodedb_wal::crypto::WalEncryptionKey::from_file(&enc.key_path) - .map_err(crate::Error::Wal)?; + if let Some(key) = wal_key { mgr.set_encryption_ring(nodedb_wal::crypto::KeyRing::new(key))?; - info!(key_path = %enc.key_path.display(), "WAL encryption enabled"); + info!("WAL encryption enabled"); } Arc::new(mgr) }; diff --git a/nodedb/src/bridge/envelope/applied_entry.rs b/nodedb/src/bridge/envelope/applied_entry.rs new file mode 100644 index 000000000..8c91eed6a --- /dev/null +++ b/nodedb/src/bridge/envelope/applied_entry.rs @@ -0,0 +1,36 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The replicated data-group entry a write applies. + +use nodedb_types::WriteVersion; + +/// What every replica that applies one data-group entry shares. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct AppliedEntry { + /// The entry's log position. The Data Plane records it as the version of + /// every row the write touches. + pub version: WriteVersion, + /// The system-time ordinal the entry's leader assigned: the stamp of + /// every bitemporal version the write lands, or the first ordinal of the + /// run a columnar insert stamps. `None` for an entry no leader stamped. + pub system_ordinal: Option, +} + +impl AppliedEntry { + /// The entry at `log_index` of the group the vShard moved to at `epoch`, + /// stamped with `system_ordinal`. + pub const fn logged(epoch: u64, log_index: u64, system_ordinal: Option) -> Self { + Self { + version: WriteVersion::logged(epoch, log_index), + system_ordinal, + } + } + + /// An entry at `version` that carries no system-time ordinal. + pub const fn unstamped(version: WriteVersion) -> Self { + Self { + version, + system_ordinal: None, + } + } +} diff --git a/nodedb/src/bridge/envelope/error_code.rs b/nodedb/src/bridge/envelope/error_code.rs index d21d282b6..3ed47e48b 100644 --- a/nodedb/src/bridge/envelope/error_code.rs +++ b/nodedb/src/bridge/envelope/error_code.rs @@ -211,6 +211,10 @@ pub enum ErrorCode { label: String, limit: usize, }, + /// The statement passed a fixed program limit, such as the distinct + /// values an exact median holds. `detail` names the limit and the + /// next action. SQLSTATE `54000` (program_limit_exceeded). + ProgramLimitExceeded { detail: String }, /// Text does not parse as the type of the column it is written to. /// `detail` names the column, the text and the type. SQLSTATE `22P02` /// (invalid_text_representation). diff --git a/nodedb/src/bridge/envelope/error_code_from.rs b/nodedb/src/bridge/envelope/error_code_from.rs index 855c68fe9..49bdff38b 100644 --- a/nodedb/src/bridge/envelope/error_code_from.rs +++ b/nodedb/src/bridge/envelope/error_code_from.rs @@ -16,9 +16,11 @@ impl From for ErrorCode { e @ (nodedb_query::EvalError::VectorDimensionMismatch { .. } | nodedb_query::EvalError::ArgumentType { .. } | nodedb_query::EvalError::InvalidJsonPath { .. } - | nodedb_query::EvalError::UnsupportedSrid { .. } + | nodedb_query::EvalError::Crs { .. } | nodedb_query::EvalError::MixedSrid { .. } - | nodedb_query::EvalError::ProjectionDomain { .. }) => Self::DataException { + | nodedb_query::EvalError::Transform { .. } + | nodedb_query::EvalError::Geometry { .. } + | nodedb_query::EvalError::ArgumentValue { .. }) => Self::DataException { detail: e.to_string(), }, e @ nodedb_query::EvalError::NumericOverflow { .. } => Self::NumericValueOutOfRange { @@ -164,7 +166,8 @@ impl From for ErrorCode { e @ (crate::Error::OffsetRegression { .. } | crate::Error::BackupTenantMismatch { .. } | crate::Error::InvalidLimitValue { .. } - | crate::Error::MixedSrid { .. }) => Self::DataException { + | crate::Error::MixedSrid { .. } + | crate::Error::UnknownSrid { .. }) => Self::DataException { detail: e.to_string(), }, // `22003`, as the Control Plane gives it. diff --git a/nodedb/src/bridge/envelope/mod.rs b/nodedb/src/bridge/envelope/mod.rs index 337b116e2..50841c736 100644 --- a/nodedb/src/bridge/envelope/mod.rs +++ b/nodedb/src/bridge/envelope/mod.rs @@ -2,6 +2,7 @@ //! Request/response envelopes exchanged over the SPSC bridge. +pub mod applied_entry; pub mod crdt_error_code; pub mod error_code; pub mod error_code_from; @@ -12,6 +13,7 @@ pub mod stage_vote; pub mod status; pub mod sync_hold; +pub use applied_entry::AppliedEntry; pub use error_code::ErrorCode; pub use nodedb_physical::kv_atomic::CounterFault; pub use nodedb_physical::physical_plan::PhysicalPlan; diff --git a/nodedb/src/bridge/envelope/request.rs b/nodedb/src/bridge/envelope/request.rs index b1e074483..d34f34ec2 100644 --- a/nodedb/src/bridge/envelope/request.rs +++ b/nodedb/src/bridge/envelope/request.rs @@ -110,12 +110,14 @@ pub struct Request { /// of the WAL record they reproduce. pub commit_hlc: Option, - /// The log position of the data-group Raft entry this write applies. The - /// Data Plane records it as the version of every row the write touches, - /// so every replica that applies the entry records the same version. + /// The data-group Raft entry this write applies: its log position, which + /// the Data Plane records as the version of every row the write touches, + /// and the system-time ordinal its leader assigned, which every + /// bitemporal version the write lands stamps. Every replica that applies + /// the entry records the same version and stamps the same ordinal. /// `None` for reads, control ops, and writes that apply no entry: those - /// version by their WAL LSN on the core. - pub entry_version: Option, + /// version by their WAL LSN on the core and stamp from the local clock. + pub entry_version: Option, /// Write-admission decision for this request. /// diff --git a/nodedb/src/bridge/envelope/response.rs b/nodedb/src/bridge/envelope/response.rs index ea1a53c39..5a7a834c9 100644 --- a/nodedb/src/bridge/envelope/response.rs +++ b/nodedb/src/bridge/envelope/response.rs @@ -53,9 +53,9 @@ pub enum RowEffect { }, /// The row is gone. Delete { - /// The system time of the tombstone of a row on a `bitemporal=true` - /// collection. - system_from_ms: Option, + /// The system-time ordinal of the tombstone of a row on a + /// `bitemporal=true` collection. + system_from: Option, }, /// Replay must not apply the write's own pre-dispatch record: the apply /// wrote nothing, or another entry of this write set carries the row's @@ -82,16 +82,17 @@ pub enum EdgeImage { /// at exactly this key. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub struct RowVersion { - pub sys_from_ms: i64, + /// The version's system-time ordinal. + pub sys_from: i64, pub valid_from_ms: i64, pub valid_until_ms: i64, } impl RowVersion { - /// The key of a version valid for all time, written at `sys_from_ms`. - pub fn open(sys_from_ms: i64) -> Self { + /// The key of a version valid for all time, written at `sys_from`. + pub fn open(sys_from: i64) -> Self { Self { - sys_from_ms, + sys_from, valid_from_ms: i64::MIN, valid_until_ms: i64::MAX, } @@ -117,9 +118,7 @@ impl WriteSetEntry { Self { surrogate, identity, - effect: RowEffect::Delete { - system_from_ms: None, - }, + effect: RowEffect::Delete { system_from: None }, collection: None, } } @@ -155,8 +154,8 @@ impl WriteSetEntry { pub fn versioned(mut self, version: Option) -> Self { match &mut self.effect { RowEffect::Put { version: slot, .. } => *slot = version, - RowEffect::Delete { system_from_ms } => { - *system_from_ms = version.map(|v| v.sys_from_ms); + RowEffect::Delete { system_from } => { + *system_from = version.map(|v| v.sys_from); } RowEffect::CancelForward | RowEffect::Edge(_) => {} } diff --git a/nodedb/src/config/auth/jwt.rs b/nodedb/src/config/auth/jwt.rs index dcca68461..76b11784e 100644 --- a/nodedb/src/config/auth/jwt.rs +++ b/nodedb/src/config/auth/jwt.rs @@ -22,7 +22,11 @@ use serde::{Deserialize, Serialize}; /// audience = "nodedb" /// tenant_id = 42 /// ``` +/// +/// JWKS fetches go through the `[egress]` policy. A provider on a private +/// network needs its host on that allow-list. #[derive(Debug, Clone, Serialize, Deserialize)] +#[serde(deny_unknown_fields)] pub struct JwtAuthConfig { /// JWKS refresh interval in seconds (default: 3600 = 1 hour). #[serde(default = "default_jwks_refresh")] @@ -106,23 +110,6 @@ pub struct JwtAuthConfig { /// Enforced by `control::security::jwt_policy::enforce_declared_scopes`. #[serde(default)] pub enforce_scopes: bool, - - /// SSRF relaxation: allow `http://` scheme for JWKS URLs whose host - /// is in [`Self::allow_jwks_hosts`]. Off by default. - #[serde(default)] - pub allow_http_jwks: bool, - - /// SSRF relaxation: hostnames that may resolve to addresses inside - /// [`Self::allow_jwks_cidrs`]. Exact-match, lowercase. IP literals - /// remain forbidden regardless of this list. - #[serde(default)] - pub allow_jwks_hosts: Vec, - - /// SSRF relaxation: CIDR ranges that [`Self::allow_jwks_hosts`] are - /// permitted to resolve into, in addition to global unicast. - /// Example: `["10.42.0.0/16"]` for an in-cluster Keycloak. - #[serde(default)] - pub allow_jwks_cidrs: Vec, } /// Configuration for a single JWT identity provider. @@ -131,7 +118,8 @@ pub struct JwtProviderConfig { /// Provider name (for logging and diagnostics). pub name: String, - /// JWKS endpoint URL. Must be HTTPS in production. + /// JWKS endpoint URL. It must pass the `[egress]` policy: `https://`, + /// or `http://` for a host on its allow-list. pub jwks_url: String, /// Expected `iss` claim. Empty = don't validate issuer for this provider. @@ -150,11 +138,11 @@ pub struct JwtProviderConfig { } impl JwtProviderConfig { - /// Validate provider config against a [`JwksPolicy`]. Fail-closed: + /// Validate provider config against the `[egress]` policy. Fail-closed: /// empty `issuer` is rejected; `jwks_url` must pass the policy. pub fn validate( &self, - policy: &crate::control::security::jwks::url::JwksPolicy, + policy: &crate::control::security::egress::EgressPolicy, ) -> crate::Result<()> { if self.name.trim().is_empty() { return Err(crate::Error::Config { @@ -181,35 +169,27 @@ impl JwtProviderConfig { } impl JwtAuthConfig { - /// Build the effective [`JwksPolicy`] from the allow-list fields. - pub fn jwks_policy( + /// Validate all providers against the `[egress]` policy. Called by the + /// server-config loader and JWKS registry construction so + /// misconfiguration fails before authentication. + pub fn validate( &self, - ) -> Result< - crate::control::security::jwks::url::JwksPolicy, - crate::control::security::jwks::url::UrlValidationError, - > { - crate::control::security::jwks::url::JwksPolicy::from_parts( - self.allow_http_jwks, - &self.allow_jwks_hosts, - &self.allow_jwks_cidrs, - ) - } - - /// Validate all providers. Called by the server-config loader and JWKS - /// registry construction so misconfiguration fails before authentication. - pub fn validate(&self) -> crate::Result<()> { + policy: &crate::control::security::egress::EgressPolicy, + ) -> crate::Result<()> { + if self.jwks_refresh_secs == 0 { + return Err(crate::Error::Config { + detail: "auth.jwt jwks_refresh_secs must be greater than zero".into(), + }); + } if self.max_token_lifetime_secs == 0 { return Err(crate::Error::Config { detail: "auth.jwt max_token_lifetime_secs must be greater than zero".into(), }); } crate::control::security::jwt_policy::validate_claim_remap(&self.claims)?; - let policy = self.jwks_policy().map_err(|e| crate::Error::Config { - detail: format!("auth.jwt allow-list is invalid: {e}"), - })?; let mut provider_names = HashSet::with_capacity(self.providers.len()); for provider in &self.providers { - provider.validate(&policy)?; + provider.validate(policy)?; if !provider_names.insert(provider.name.as_str()) { return Err(crate::Error::Config { detail: format!( @@ -285,9 +265,6 @@ impl Default for JwtAuthConfig { status_claim: None, blocked_statuses: Vec::new(), enforce_scopes: false, - allow_http_jwks: false, - allow_jwks_hosts: Vec::new(), - allow_jwks_cidrs: Vec::new(), } } } @@ -317,7 +294,9 @@ mod tests { upn = "email" "#, ); - config.validate().expect("section must be valid"); + config + .validate(&crate::control::security::egress::EgressPolicy::strict()) + .expect("section must be valid"); assert!(config.jit_provisioning); assert!(!config.jit_sync_claims); @@ -336,7 +315,7 @@ mod tests { "#, ); let err = config - .validate() + .validate(&crate::control::security::egress::EgressPolicy::strict()) .expect_err("a mapping no reader consults must fail startup"); assert!(err.to_string().contains("unknown field")); } diff --git a/nodedb/src/config/server/config.rs b/nodedb/src/config/server/config.rs index 21e916b5f..631b59eb2 100644 --- a/nodedb/src/config/server/config.rs +++ b/nodedb/src/config/server/config.rs @@ -13,6 +13,7 @@ use super::backup_storage::BackupStorageSettings; use super::checkpoint::CheckpointSettings; use super::cluster::ClusterSettings; use super::cold_storage::ColdStorageSettings; +use super::egress::{CredentialEncryptionSettings, EgressSettings}; use super::observability::ObservabilityConfig; use super::pitr::PitrSettings; use super::retention::RetentionSettings; @@ -74,6 +75,16 @@ pub struct ServerConfig { #[serde(default)] pub backup_encryption: Option, + /// Hosts a remote `COPY` source may reach. Absent = strict: `https://`, + /// DNS names, global unicast addresses only. + #[serde(default)] + pub egress: EgressSettings, + + /// The key `CREATE CREDENTIAL` seals secrets under. Absent = `CREATE + /// CREDENTIAL` is refused. + #[serde(default)] + pub credential_encryption: Option, + /// Object-store access for `BACKUP DATABASE` and `RESTORE DATABASE`. /// Absent = every `file://` URI is refused, and `s3://` URIs use IAM /// credentials against AWS. @@ -185,8 +196,12 @@ impl ServerConfig { /// Validate cross-field invariants that serde cannot express. Called /// from [`Self::from_file`] so misconfiguration fails startup. pub fn validate(&self) -> crate::Result<()> { + let egress = self.egress.checked_policy()?; + if let Some(ref encryption) = self.encryption { + encryption.source()?; + } if let Some(ref jwt) = self.auth.jwt { - jwt.validate()?; + jwt.validate(&egress)?; } super::domain::validate_domain(self) } diff --git a/nodedb/src/config/server/domain.rs b/nodedb/src/config/server/domain.rs index 188584526..9c0f1275f 100644 --- a/nodedb/src/config/server/domain.rs +++ b/nodedb/src/config/server/domain.rs @@ -115,6 +115,7 @@ pub(super) fn validate_domain(config: &ServerConfig) -> crate::Result<()> { )?; super::pitr::validate_pitr(config)?; super::backup::validate_backup(config)?; + super::egress::validate_egress(&config.egress)?; let s = &config.tuning.startup; startup_bound( diff --git a/nodedb/src/config/server/egress.rs b/nodedb/src/config/server/egress.rs new file mode 100644 index 000000000..4a52872cc --- /dev/null +++ b/nodedb/src/config/server/egress.rs @@ -0,0 +1,101 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `[egress]` and `[credential_encryption]`: what an outbound request of the +//! server may reach, and the key `COPY` source credentials are sealed under. +//! +//! One `[egress]` policy governs every outbound request: remote `COPY` +//! sources, JWKS fetches, change-stream and alert webhooks, SIEM export, +//! OTLP trace and metrics export, and the Vault key provider. A URL the +//! operator configures (SIEM, OTLP, Vault) needs its host on `allow_hosts` +//! when it is plain `http://` or resolves to a private address. +//! +//! ```toml +//! [egress] +//! # Every relaxation names hosts. http:// is allowed only for these hosts, +//! # and only these hosts may resolve into allow_cidrs. +//! allow_http = false +//! allow_hosts = ["mirror.internal", "keycloak.internal", "otel-collector"] +//! allow_cidrs = ["10.42.0.0/16"] +//! +//! [credential_encryption] +//! # 32 bytes, mode 0600, owned by the server's user. Every node of a +//! # cluster needs the same file. Generate with: +//! # head -c 32 /dev/urandom > /etc/nodedb/keys/credential.key +//! key_path = "/etc/nodedb/keys/credential.key" +//! ``` +//! +//! With no `[egress]` section the policy is strict: `https://` only, DNS +//! names only, and every resolved address must be global unicast. With no +//! `[credential_encryption]` section, `CREATE CREDENTIAL` is refused. + +use std::path::PathBuf; + +use serde::{Deserialize, Serialize}; + +use crate::control::security::egress::{EgressError, EgressPolicy}; + +/// The `[egress]` allow-list of every outbound request. +#[derive(Debug, Clone, Default, PartialEq, Eq, Serialize, Deserialize)] +#[serde(deny_unknown_fields)] +pub struct EgressSettings { + /// Allow `http://` for the hosts in `allow_hosts`. + #[serde(default)] + pub allow_http: bool, + /// Hosts that may use `http://` when `allow_http` is set, and may + /// resolve into `allow_cidrs`. + #[serde(default)] + pub allow_hosts: Vec, + /// Address blocks `allow_hosts` may resolve into beyond global unicast, + /// such as `"10.42.0.0/16"` or `"127.0.0.0/8"` for a local mirror. + #[serde(default)] + pub allow_cidrs: Vec, +} + +impl EgressSettings { + /// The policy these settings describe. + pub fn policy(&self) -> Result { + EgressPolicy::from_parts(self.allow_http, &self.allow_hosts, &self.allow_cidrs) + } + + /// The policy, or a config error that names the section. + pub fn checked_policy(&self) -> crate::Result { + self.policy().map_err(|e| crate::Error::Config { + detail: format!("[egress] is invalid: {e}"), + }) + } +} + +/// The `[credential_encryption]` key file. +#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)] +#[serde(deny_unknown_fields)] +pub struct CredentialEncryptionSettings { + /// Path to the 32-byte key that seals credential secrets. + pub key_path: PathBuf, +} + +/// Check the `[egress]` allow-list at startup. +pub(super) fn validate_egress(settings: &EgressSettings) -> crate::Result<()> { + settings.checked_policy().map(|_| ()) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn an_absent_section_is_strict_and_a_bad_cidr_is_refused() { + assert_eq!( + EgressSettings::default().policy(), + Ok(EgressPolicy::strict()) + ); + let bad = EgressSettings { + allow_cidrs: vec!["10.0.0.0/99".into()], + ..Default::default() + }; + assert!(validate_egress(&bad).is_err()); + let toml = + "allow_http = true\nallow_hosts = [\"localhost\"]\nallow_cidrs = [\"127.0.0.0/8\"]\n"; + let parsed: EgressSettings = toml::from_str(toml).expect("parses"); + assert!(parsed.policy().expect("valid").allow_http); + } +} diff --git a/nodedb/src/config/server/mod.rs b/nodedb/src/config/server/mod.rs index 6b0fe00a6..bdeb321c3 100644 --- a/nodedb/src/config/server/mod.rs +++ b/nodedb/src/config/server/mod.rs @@ -7,6 +7,7 @@ mod cluster; mod cold_storage; mod config; mod domain; +mod egress; mod env; mod env_expand; mod log_format; @@ -28,6 +29,7 @@ pub use checkpoint::CheckpointSettings; pub use cluster::{ClusterSettings, TlsPaths}; pub use cold_storage::ColdStorageSettings; pub use config::ServerConfig; +pub use egress::{CredentialEncryptionSettings, EgressSettings}; pub use env::{apply_env_overrides, parse_memory_size, parse_seed_nodes}; pub use log_format::LogFormat; pub use observability::{ diff --git a/nodedb/src/config/server/tls.rs b/nodedb/src/config/server/tls.rs index 6089b7a07..4ee4d1bd0 100644 --- a/nodedb/src/config/server/tls.rs +++ b/nodedb/src/config/server/tls.rs @@ -1,15 +1,79 @@ // SPDX-License-Identifier: BUSL-1.1 -use std::path::PathBuf; +use std::path::{Path, PathBuf}; use serde::{Deserialize, Serialize}; -/// Encryption at rest settings (WAL). +use crate::control::security::keystore::KeyDerivation; + +/// Encryption at rest settings: the WAL key, which also derives the segment +/// and checkpoint keys. +/// +/// The key comes from exactly one source: +/// +/// ```toml +/// [encryption] +/// # A 32-byte key file, the default source. +/// key_path = "/etc/nodedb/keys/wal.key" +/// ``` +/// +/// ```toml +/// [encryption.key_derivation] +/// # A key-management service: type = "vault", "aws_kms" or "file". +/// type = "vault" +/// addr = "https://vault.internal:8200" +/// token_path = "/etc/nodedb/keys/vault.token" +/// key_name = "nodedb-wal" +/// mount = "transit" +/// ciphertext_blob_path = "/var/lib/nodedb/.wal-key.wrapped" +/// ``` #[derive(Debug, Clone, Serialize, Deserialize)] +#[serde(deny_unknown_fields)] pub struct EncryptionSettings { /// Path to the 32-byte AES-256-GCM key file used to encrypt WAL records. /// Generate with: `head -c 32 /dev/urandom > /etc/nodedb/keys/wal.key` - pub key_path: PathBuf, + #[serde(default, skip_serializing_if = "Option::is_none")] + pub key_path: Option, + /// A key-management service that supplies the key in place of + /// `key_path`. A Vault address goes through the `[egress]` policy. + #[serde(default, skip_serializing_if = "Option::is_none")] + pub key_derivation: Option, +} + +impl EncryptionSettings { + /// Settings that read the key from the file at `key_path`. + pub fn file(key_path: PathBuf) -> Self { + Self { + key_path: Some(key_path), + key_derivation: None, + } + } + + /// The key source these settings name. Exactly one of `key_path` and + /// `key_derivation` must be set. + pub fn source(&self) -> crate::Result { + match (&self.key_path, &self.key_derivation) { + (Some(key_path), None) => Ok(KeyDerivation::File { + key_path: key_path.clone(), + }), + (None, Some(derivation)) => Ok(derivation.clone()), + (Some(_), Some(_)) => Err(crate::Error::Config { + detail: "[encryption] sets both key_path and key_derivation; keep one".into(), + }), + (None, None) => Err(crate::Error::Config { + detail: "[encryption] needs key_path or a [encryption.key_derivation] table".into(), + }), + } + } + + /// The key file, when the key comes from a local file. + pub fn key_file(&self) -> Option<&Path> { + match (&self.key_path, &self.key_derivation) { + (Some(key_path), _) => Some(key_path), + (None, Some(KeyDerivation::File { key_path })) => Some(key_path), + (None, _) => None, + } + } } /// Per-backup encryption settings. @@ -67,3 +131,76 @@ pub struct TlsSettings { fn default_true() -> bool { true } + +#[cfg(test)] +mod tests { + use super::*; + + fn parse(body: &str) -> EncryptionSettings { + toml::from_str(body).expect("the [encryption] section must deserialize") + } + + #[test] + fn key_path_selects_the_file_source() { + let settings = parse(r#"key_path = "/k/wal.key""#); + assert!(matches!( + settings.source(), + Ok(KeyDerivation::File { ref key_path }) if key_path == Path::new("/k/wal.key") + )); + assert_eq!(settings.key_file(), Some(Path::new("/k/wal.key"))); + } + + #[test] + fn key_derivation_selects_vault_kms_or_file() { + let vault = parse( + r#" + [key_derivation] + type = "vault" + addr = "https://vault.internal:8200" + token_path = "/k/token" + key_name = "wal" + mount = "transit" + ciphertext_blob_path = "/k/blob" + "#, + ); + assert!(matches!(vault.source(), Ok(KeyDerivation::Vault { .. }))); + assert_eq!(vault.key_file(), None); + + let kms = parse( + r#" + [key_derivation] + type = "aws_kms" + key_id = "arn:aws:kms:us-east-1:1:key/k" + region = "us-east-1" + ciphertext_blob_path = "/k/blob" + "#, + ); + assert!(matches!(kms.source(), Ok(KeyDerivation::AwsKms { .. }))); + assert_eq!(kms.key_file(), None); + + let file = parse( + r#" + [key_derivation] + type = "file" + key_path = "/k/wal.key" + "#, + ); + assert!(matches!(file.source(), Ok(KeyDerivation::File { .. }))); + assert_eq!(file.key_file(), Some(Path::new("/k/wal.key"))); + } + + #[test] + fn exactly_one_source_is_required() { + let both = parse( + r#" + key_path = "/k/wal.key" + [key_derivation] + type = "file" + key_path = "/k/other.key" + "#, + ); + assert!(both.source().is_err()); + assert!(parse("").source().is_err()); + assert!(toml::from_str::(r#"keypath = "/k""#).is_err()); + } +} diff --git a/nodedb/src/control/array_catalog/attr_meta.rs b/nodedb/src/control/array_catalog/attr_meta.rs new file mode 100644 index 000000000..110a4d943 --- /dev/null +++ b/nodedb/src/control/array_catalog/attr_meta.rs @@ -0,0 +1,173 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Conversions between the engine attr metadata and its SQL form, and the +//! schema re-encode an `ALTER ARRAY ... ALTER ATTR` makes. +//! +//! Attr metadata is not part of `content_msgpack`, so a change keeps +//! `schema_hash` and every segment valid, as a georef change does. A value +//! that does not fit the attr type is SQLSTATE `22000`. + +use nodedb_array::schema::AttrMeta; +use nodedb_sql::types_array::{ArrayAttrMetaAlter, ArrayAttrMetaAst}; + +use super::schema_recode::{decode_schema, reencode_checked, schema_error}; + +/// The SQL form of `meta`. +pub(crate) fn meta_ast(meta: &AttrMeta) -> ArrayAttrMetaAst { + ArrayAttrMetaAst { + nodata: meta.nodata, + scale: meta.scale, + offset: meta.offset, + units: meta.units.clone(), + } +} + +/// The engine form of `ast`. +pub(crate) fn meta_from_ast(ast: &ArrayAttrMetaAst) -> AttrMeta { + AttrMeta { + nodata: ast.nodata, + scale: ast.scale, + offset: ast.offset, + units: ast.units.clone(), + } +} + +/// The stored schema `stored_msgpack` with `change` applied, re-encoded. +/// +/// The content bytes stay equal, so `schema_hash` and every segment stay +/// valid. +pub(crate) fn remeta_schema( + statement: &str, + stored_msgpack: &[u8], + change: &ArrayAttrMetaAlter, +) -> crate::Result> { + let schema = decode_schema(statement, stored_msgpack)?; + let current = schema + .attr(&change.attr) + .map(|a| meta_ast(&a.meta)) + .ok_or_else(|| crate::Error::UndefinedColumn { + column: change.attr.clone(), + })?; + let next = meta_from_ast(&change.change.apply(¤t)); + let altered = schema + .with_attr_meta(&change.attr, next) + .map_err(|e| schema_error(statement, e))?; + reencode_checked(statement, stored_msgpack, &altered) +} + +/// The metadata clauses DESCRIBE shows after an attr type, in the DDL form +/// that recreates them: ` NODATA 0.0 SCALE 2.75e-5 UNITS 'reflectance'`. +/// Empty when the attr has none. +pub(crate) fn meta_sql(meta: &ArrayAttrMetaAst) -> String { + let number = |v: f64| { + if v.is_nan() { + "NAN".to_string() + } else if v.is_infinite() { + // The lexer reads `-` only before a digit, so negative + // infinity takes the quoted form. + if v > 0.0 { "INF" } else { "'-INF'" }.to_string() + } else { + format!("{v:?}") + } + }; + let mut out = String::new(); + if let Some(v) = meta.nodata { + out.push_str(&format!(" NODATA {}", number(v))); + } + if let Some(v) = meta.scale { + out.push_str(&format!(" SCALE {}", number(v))); + } + if let Some(v) = meta.offset { + out.push_str(&format!(" OFFSET {}", number(v))); + } + if let Some(units) = &meta.units { + out.push_str(&format!(" UNITS '{}'", units.replace('\'', "''"))); + } + out +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_array::schema::{ + ArraySchema, ArraySchemaBuilder, AttrSpec, AttrType, DimSpec, DimType, + }; + use nodedb_array::types::domain::{Domain, DomainBound}; + use nodedb_sql::types_array::{ArrayAttrMetaChange, ArrayAttrMetaKey}; + + fn stored() -> ArraySchema { + ArraySchemaBuilder::new("scene") + .dim(DimSpec::new( + "row", + DimType::Int64, + Domain::new(DomainBound::Int64(0), DomainBound::Int64(1023)), + )) + .attr(AttrSpec::new("red", AttrType::UInt16, true)) + .tile_extents(vec![256]) + .build() + .unwrap() + } + + fn set(meta: ArrayAttrMetaAst) -> ArrayAttrMetaAlter { + ArrayAttrMetaAlter { + attr: "red".into(), + change: ArrayAttrMetaChange::Set(meta), + } + } + + #[test] + fn set_then_drop_keeps_content() { + let plain = zerompk::to_msgpack_vec(&stored()).unwrap(); + let landsat = ArrayAttrMetaAst { + nodata: Some(0.0), + scale: Some(0.0000275), + offset: Some(-0.2), + units: Some("reflectance".into()), + }; + let with = remeta_schema("ALTER ARRAY scene", &plain, &set(landsat.clone())).unwrap(); + let schema: ArraySchema = zerompk::from_msgpack(&with).unwrap(); + assert_eq!(meta_ast(&schema.attrs[0].meta), landsat); + assert_eq!( + schema.content_msgpack().unwrap(), + stored().content_msgpack().unwrap() + ); + let drop_all = ArrayAttrMetaAlter { + attr: "red".into(), + change: ArrayAttrMetaChange::Drop(vec![ + ArrayAttrMetaKey::Nodata, + ArrayAttrMetaKey::Scale, + ArrayAttrMetaKey::Offset, + ArrayAttrMetaKey::Units, + ]), + }; + let dropped = remeta_schema("ALTER ARRAY scene", &with, &drop_all).unwrap(); + assert_eq!(dropped, plain); + } + + #[test] + fn an_unrepresentable_nodata_is_data_exception() { + let plain = zerompk::to_msgpack_vec(&stored()).unwrap(); + let err = remeta_schema( + "ALTER ARRAY scene", + &plain, + &set(ArrayAttrMetaAst { + nodata: Some(-1.0), + ..ArrayAttrMetaAst::default() + }), + ) + .unwrap_err(); + assert!(matches!(err, crate::Error::DataException { .. }), "{err:?}"); + } + + #[test] + fn sql_form_names_every_clause() { + let text = meta_sql(&ArrayAttrMetaAst { + nodata: Some(f64::NAN), + scale: Some(0.5), + offset: None, + units: Some("it's".into()), + }); + assert_eq!(text, " NODATA NAN SCALE 0.5 UNITS 'it''s'"); + assert_eq!(meta_sql(&ArrayAttrMetaAst::default()), ""); + } +} diff --git a/nodedb/src/control/array_catalog/ddl.rs b/nodedb/src/control/array_catalog/ddl.rs index 64ed21fb8..21ac2ae8d 100644 --- a/nodedb/src/control/array_catalog/ddl.rs +++ b/nodedb/src/control/array_catalog/ddl.rs @@ -17,8 +17,8 @@ use nodedb_types::Hlc; use crate::bridge::envelope::{Payload, PhysicalPlan, Response, Status}; use crate::control::array_catalog::ArrayCatalogEntry; -use crate::control::array_catalog::georef::check_same_content; use crate::control::array_catalog::retention::check_retention_floor; +use crate::control::array_catalog::schema_recode::check_same_content; use crate::control::catalog_entry::CatalogEntry; use crate::control::metadata_proposer::propose_catalog_batch_async; use crate::control::security::catalog::SystemCatalog; @@ -172,7 +172,8 @@ fn entry_for( *audit_retain_ms, *minimum_audit_retain_ms, )?; - // A georef change keeps every field `schema_hash` covers. Checked + // A georef or attr metadata change keeps every field + // `schema_hash` covers. Checked // against the committed schema, so the kept hash stays true. let schema_msgpack = match schema_msgpack { Some(altered) => { @@ -350,7 +351,7 @@ mod tests { let catalog = store.catalog(); let created = put_raster(catalog); let georef = nodedb_array::schema::ArrayGeoref { - srid: nodedb_types::geometry::Srid::Utm47N, + srid: nodedb_types::geometry::Srid::new(32647).expect("srid"), x_dim: 1, y_dim: 0, transform: Some(nodedb_array::schema::GeoTransform([ diff --git a/nodedb/src/control/array_catalog/georef.rs b/nodedb/src/control/array_catalog/georef.rs index c817e4d3b..59370939e 100644 --- a/nodedb/src/control/array_catalog/georef.rs +++ b/nodedb/src/control/array_catalog/georef.rs @@ -6,10 +6,10 @@ //! name. Every refusal carries its own SQLSTATE class: `42703` for an //! unknown dim, `22000` for every other georef error. -use nodedb_array::ArrayError; use nodedb_array::schema::{ArrayGeoref, ArraySchema, DimSpec, GeoTransform}; use nodedb_sql::types_array::{ArrayGeorefAlter, ArrayGeorefAst}; -use nodedb_types::geometry::Srid; + +use super::schema_recode::{decode_schema, reencode_checked, schema_error}; /// The SQL form of `schema`'s georef, axes named by dim. /// @@ -36,10 +36,13 @@ pub(crate) fn georef_from_ast( array: &str, ast: &ArrayGeorefAst, dims: &[DimSpec], + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result { - let srid = Srid::try_from(ast.srid).map_err(|e| crate::Error::DataException { - detail: format!("array '{array}' GEOREF: {e}"), - })?; + let srid = crs + .resolve_u32(ast.srid) + .map_err(|e| crate::Error::DataException { + detail: format!("array '{array}' GEOREF: {e}"), + })?; let index = |name: &str| { dims.iter() .position(|d| d.name == name) @@ -63,63 +66,17 @@ pub(crate) fn regeoref_schema( statement: &str, stored_msgpack: &[u8], change: &ArrayGeorefAlter, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result> { let schema = decode_schema(statement, stored_msgpack)?; let georef = match change { - ArrayGeorefAlter::Set(ast) => Some(georef_from_ast(&schema.name, ast, &schema.dims)?), + ArrayGeorefAlter::Set(ast) => Some(georef_from_ast(&schema.name, ast, &schema.dims, crs)?), ArrayGeorefAlter::Drop => None, }; let altered = schema .with_georef(georef) .map_err(|e| schema_error(statement, e))?; - let altered_msgpack = - zerompk::to_msgpack_vec(&altered).map_err(|e| crate::Error::Serialization { - format: "msgpack".into(), - detail: format!("{statement}: schema encode: {e}"), - })?; - check_same_content(statement, stored_msgpack, &altered_msgpack)?; - Ok(altered_msgpack) -} - -/// Check that `altered_msgpack` keeps the content of `stored_msgpack`: every -/// field `schema_hash` covers. Only the georef may differ. -pub(crate) fn check_same_content( - statement: &str, - stored_msgpack: &[u8], - altered_msgpack: &[u8], -) -> crate::Result<()> { - let stored = decode_schema(statement, stored_msgpack)?; - let altered = decode_schema(statement, altered_msgpack)?; - if stored.name != altered.name || stored.content_msgpack() != altered.content_msgpack() { - return Err(crate::Error::Internal { - detail: format!( - "{statement}: the altered schema changes more than the georef; \ - schema_hash would no longer match" - ), - }); - } - Ok(()) -} - -fn decode_schema(statement: &str, msgpack: &[u8]) -> crate::Result { - zerompk::from_msgpack(msgpack).map_err(|e| crate::Error::Serialization { - format: "msgpack".into(), - detail: format!("{statement}: array schema decode: {e}"), - }) -} - -/// The error a schema build or georef change reports. -/// -/// A georef refusal is `22000`. Every other schema refusal is a plan error. -pub(crate) fn schema_error(statement: &str, error: ArrayError) -> crate::Error { - match error { - ArrayError::InvalidGeoref { .. } => crate::Error::DataException { - detail: format!("{statement}: {error}"), - }, - other => crate::Error::PlanError { - detail: format!("{statement}: {other}"), - }, - } + reencode_checked(statement, stored_msgpack, &altered) } /// The clause body DESCRIBE shows, in the DDL form that recreates it. @@ -134,7 +91,9 @@ pub(crate) fn georef_sql(ast: &ArrayGeorefAst) -> String { #[cfg(test)] mod tests { + use super::super::schema_recode::check_same_content; use super::*; + use nodedb_array::ArrayError; use nodedb_array::schema::{ArraySchemaBuilder, AttrSpec, AttrType, DimType}; use nodedb_array::types::domain::{Domain, DomainBound}; @@ -169,7 +128,13 @@ mod tests { #[test] fn ast_round_trips_through_the_engine_georef() { - let georef = georef_from_ast("scene", &ast(), &dims()).unwrap(); + let georef = georef_from_ast( + "scene", + &ast(), + &dims(), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert_eq!(georef.x_dim, 1); assert_eq!(georef.y_dim, 0); let mut builder = ArraySchemaBuilder::new("scene"); @@ -189,7 +154,13 @@ mod tests { fn unknown_dim_is_undefined_column() { let mut bad = ast(); bad.x_dim = "lon".into(); - let err = georef_from_ast("scene", &bad, &dims()).unwrap_err(); + let err = georef_from_ast( + "scene", + &bad, + &dims(), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap_err(); assert!( matches!(err, crate::Error::UndefinedColumn { .. }), "{err:?}" @@ -199,8 +170,14 @@ mod tests { #[test] fn unsupported_srid_is_data_exception() { let mut bad = ast(); - bad.srid = 2154; - let err = georef_from_ast("scene", &bad, &dims()).unwrap_err(); + bad.srid = 999; + let err = georef_from_ast( + "scene", + &bad, + &dims(), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap_err(); assert!(matches!(err, crate::Error::DataException { .. }), "{err:?}"); } @@ -231,12 +208,26 @@ mod tests { #[test] fn regeoref_set_then_drop_keeps_content() { let plain = zerompk::to_msgpack_vec(&stored()).unwrap(); - let set = - regeoref_schema("ALTER ARRAY scene", &plain, &ArrayGeorefAlter::Set(ast())).unwrap(); + let set = regeoref_schema( + "ALTER ARRAY scene", + &plain, + &ArrayGeorefAlter::Set(ast()), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); let with: ArraySchema = zerompk::from_msgpack(&set).unwrap(); assert_eq!(georef_ast(&with), Some(ast())); - assert_eq!(with.content_msgpack(), stored().content_msgpack()); - let dropped = regeoref_schema("ALTER ARRAY scene", &set, &ArrayGeorefAlter::Drop).unwrap(); + assert_eq!( + with.content_msgpack().unwrap(), + stored().content_msgpack().unwrap() + ); + let dropped = regeoref_schema( + "ALTER ARRAY scene", + &set, + &ArrayGeorefAlter::Drop, + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert_eq!(dropped, plain); } @@ -245,8 +236,13 @@ mod tests { let plain = zerompk::to_msgpack_vec(&stored()).unwrap(); let mut unknown = ast(); unknown.y_dim = "lat".into(); - let err = regeoref_schema("ALTER ARRAY scene", &plain, &ArrayGeorefAlter::Set(unknown)) - .unwrap_err(); + let err = regeoref_schema( + "ALTER ARRAY scene", + &plain, + &ArrayGeorefAlter::Set(unknown), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap_err(); assert!( matches!(err, crate::Error::UndefinedColumn { .. }), "{err:?}" @@ -257,6 +253,7 @@ mod tests { "ALTER ARRAY scene", &plain, &ArrayGeorefAlter::Set(singular), + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap_err(); assert!(matches!(err, crate::Error::DataException { .. }), "{err:?}"); diff --git a/nodedb/src/control/array_catalog/mod.rs b/nodedb/src/control/array_catalog/mod.rs index 2d1802b20..c4a18b4cd 100644 --- a/nodedb/src/control/array_catalog/mod.rs +++ b/nodedb/src/control/array_catalog/mod.rs @@ -7,6 +7,7 @@ //! The Data Plane never touches this directly — dispatch handlers //! consult the in-memory registry via the shared [`ArrayCatalogHandle`]. +pub(crate) mod attr_meta; pub(crate) mod cell_route; pub(crate) mod ddl; pub mod entry; @@ -14,6 +15,7 @@ pub(crate) mod georef; pub mod persist; pub mod registry; pub(crate) mod retention; +pub(crate) mod schema_recode; pub use entry::{ArrayCatalogEntry, ArrayMove}; pub use registry::{ArrayCatalog, ArrayCatalogHandle}; diff --git a/nodedb/src/control/array_catalog/schema_recode.rs b/nodedb/src/control/array_catalog/schema_recode.rs new file mode 100644 index 000000000..2858a4572 --- /dev/null +++ b/nodedb/src/control/array_catalog/schema_recode.rs @@ -0,0 +1,75 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The decode, check and re-encode every array schema change shares. +//! +//! A georef or attr metadata change leaves `content_msgpack` as it is, so +//! `schema_hash` and every segment stay valid. Each change re-encodes the +//! schema and checks that the content bytes did not move. + +use nodedb_array::ArrayError; +use nodedb_array::schema::ArraySchema; + +/// The stored schema `msgpack` holds. +pub(crate) fn decode_schema(statement: &str, msgpack: &[u8]) -> crate::Result { + zerompk::from_msgpack(msgpack).map_err(|e| crate::Error::Serialization { + format: "msgpack".into(), + detail: format!("{statement}: array schema decode: {e}"), + }) +} + +/// The error a schema build, georef change or attr metadata change reports. +/// +/// A georef or attr metadata refusal is `22000`. Every other schema +/// refusal is a plan error. +pub(crate) fn schema_error(statement: &str, error: ArrayError) -> crate::Error { + match error { + ArrayError::InvalidGeoref { .. } | ArrayError::InvalidAttrMeta { .. } => { + crate::Error::DataException { + detail: format!("{statement}: {error}"), + } + } + other => crate::Error::PlanError { + detail: format!("{statement}: {other}"), + }, + } +} + +/// Check that `altered_msgpack` keeps the content of `stored_msgpack`: every +/// field `schema_hash` covers. Only the georef and attr metadata can differ. +pub(crate) fn check_same_content( + statement: &str, + stored_msgpack: &[u8], + altered_msgpack: &[u8], +) -> crate::Result<()> { + let stored = decode_schema(statement, stored_msgpack)?; + let altered = decode_schema(statement, altered_msgpack)?; + let content = |schema: &ArraySchema| { + schema + .content_msgpack() + .map_err(|e| schema_error(statement, e)) + }; + if stored.name != altered.name || content(&stored)? != content(&altered)? { + return Err(crate::Error::Internal { + detail: format!( + "{statement}: the altered schema changes more than the georef and attr \ + metadata, so schema_hash no longer matches" + ), + }); + } + Ok(()) +} + +/// `altered` encoded, checked to keep the content of `stored_msgpack`. +pub(crate) fn reencode_checked( + statement: &str, + stored_msgpack: &[u8], + altered: &ArraySchema, +) -> crate::Result> { + let altered_msgpack = + zerompk::to_msgpack_vec(altered).map_err(|e| crate::Error::Serialization { + format: "msgpack".into(), + detail: format!("{statement}: schema encode: {e}"), + })?; + check_same_content(statement, stored_msgpack, &altered_msgpack)?; + Ok(altered_msgpack) +} diff --git a/nodedb/src/control/array_sync/raft_apply/common.rs b/nodedb/src/control/array_sync/raft_apply/common.rs index 4843d16cc..11b65bc21 100644 --- a/nodedb/src/control/array_sync/raft_apply/common.rs +++ b/nodedb/src/control/array_sync/raft_apply/common.rs @@ -140,6 +140,8 @@ pub(super) async fn submit_array_write( group_id, log_index, )), + // An array cell version takes no system-time ordinal. + system_ordinal: None, }, // Raft committed this entry at a fixed log index and every replica // applies it in that order; re-entering the write-admission gate diff --git a/nodedb/src/control/backup/restore/columnar_reissue.rs b/nodedb/src/control/backup/restore/columnar_reissue.rs index f4fa03c80..f374ac3eb 100644 --- a/nodedb/src/control/backup/restore/columnar_reissue.rs +++ b/nodedb/src/control/backup/restore/columnar_reissue.rs @@ -62,22 +62,10 @@ pub fn decode_snapshot_live_rows( let mut rows: Vec = Vec::new(); let mut surrogates: Vec = Vec::new(); - // Memtable: non-deleted rows in schema column order → keyed object. - // A memtable row that does not read refuses the restore: dropping it - // would lose the row from the restored collection. - for scanned in engine.scan_memtable_rows_with_surrogates() { - let (surrogate, values) = scanned?; - let surrogate = surrogate.ok_or_else(|| Error::Storage { - engine: "columnar".into(), - detail: format!( - "restore reissue: memtable row for '{collection}' has no surrogate; \ - cannot preserve cross-engine identity" - ), - })?; - rows.push(row_values_to_object(&column_names, values, collection)?); - surrogates.push(surrogate); - } - + // Rows re-issue in the order the engine appended them: flushed segments + // in flush order, then the memtable. A bitemporal collection keeps every + // version of a key, and the primary-key index binds the version appended + // last, so this order binds each key to its newest version again. // Flushed segments: blob index i corresponds to segment_id i + 1 (the // export/flush convention). The per-segment delete bitmap lives on the // rebuilt engine under that segment_id; the surrogate sidecar is parallel to @@ -112,6 +100,22 @@ pub fn decode_snapshot_live_rows( } } + // Memtable: non-deleted rows in schema column order → keyed object. + // A memtable row that does not read refuses the restore: dropping it + // would lose the row from the restored collection. + for scanned in engine.scan_memtable_rows_with_surrogates() { + let (surrogate, values) = scanned?; + let surrogate = surrogate.ok_or_else(|| Error::Storage { + engine: "columnar".into(), + detail: format!( + "restore reissue: memtable row for '{collection}' has no surrogate; \ + cannot preserve cross-engine identity" + ), + })?; + rows.push(row_values_to_object(&column_names, values, collection)?); + surrogates.push(surrogate); + } + Ok(DecodedColumnarRows { rows, surrogates, @@ -123,7 +127,9 @@ pub fn decode_snapshot_live_rows( /// /// The payload is the msgpack encoding of `Value::Array(rows)` (array of /// per-row field-keyed objects) — the exact shape the columnar insert handler -/// expects. +/// expects. The plan's intent is `Restore`: a bitemporal row keeps the +/// `_ts_system` ordinal it carries, so every restored version keeps the +/// system time its write stamped and `AS OF` answers as before the backup. pub fn build_columnar_insert_plan( collection: &str, decoded: DecodedColumnarRows, @@ -142,12 +148,13 @@ pub fn build_columnar_insert_plan( collection: nodedb_types::QualifiedCollection::from_stored(collection.to_string()), payload, format: "msgpack".into(), - intent: ColumnarInsertIntent::Insert, + intent: ColumnarInsertIntent::Restore, on_conflict_updates: Vec::new(), surrogates: decoded.surrogates, schema_bytes: decoded.schema_bytes, provenance: None, wal_lsn: None, + system_from: None, // No predicate here: a restore re-issues rows that were already // admitted before the backup was taken. The identity that admitted // them is not available during restore. diff --git a/nodedb/src/control/backup/restore/orchestrate/database.rs b/nodedb/src/control/backup/restore/orchestrate/database.rs index f8d4615a0..10bfb6310 100644 --- a/nodedb/src/control/backup/restore/orchestrate/database.rs +++ b/nodedb/src/control/backup/restore/orchestrate/database.rs @@ -128,6 +128,8 @@ pub(super) async fn reissue_database( super::super::redo_reissue::RestoredRows { documents, edges: std::mem::take(&mut snap.edges), + node_labels: std::mem::take(&mut snap.node_labels), + node_label_versions: std::mem::take(&mut snap.node_label_versions), }, ) .await?; diff --git a/nodedb/src/control/backup/restore/orchestrate/reissue.rs b/nodedb/src/control/backup/restore/orchestrate/reissue.rs index b6502334b..30d1534e5 100644 --- a/nodedb/src/control/backup/restore/orchestrate/reissue.rs +++ b/nodedb/src/control/backup/restore/orchestrate/reissue.rs @@ -181,6 +181,10 @@ pub(super) async fn reissue_columnar_snapshots( PhysicalPlan::Columnar(ColumnarOp::Truncate { collection: name.stored.clone(), restart_identity: false, + system_from: None, + // The restore reinstalls every version under the system time + // it carries, so the old history goes, bitemporal or not. + erase_history: true, }), ) .await?; diff --git a/nodedb/src/control/backup/restore/redo_reissue/commit.rs b/nodedb/src/control/backup/restore/redo_reissue/commit.rs index c1baba404..4aa2d5edc 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/commit.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/commit.rs @@ -8,7 +8,9 @@ //! writes, as their live writers lock them. Its resolve appends them to the //! transaction's redo record, each edge version applied at the transaction's //! ordinal, so a TRUNCATE sequenced before the RESTORE leaves them visible -//! and one sequenced after it hides them. Every replica binds the batch's +//! and one sequenced after it hides them. Restored node labels go to each +//! node's home, every label version at its system time. Every replica binds +//! the batch's //! identities, installs the record as a RESTORE, and raises the tenant's //! restore mark under the restore's id. The call returns once the //! transaction committed. @@ -26,6 +28,7 @@ use crate::event::EventSource; use crate::types::{DatabaseId, TenantId, VShardId}; use crate::wal::RedoRecord; +use super::labels::{HomedLabels, label_weight}; use super::units::{CollectionEdges, CollectionUnits, EdgeUnit, RowUnit}; /// Most sub-records or edge versions one restore batch carries. @@ -115,6 +118,7 @@ fn row_batch( rows_redo, rows, edges: Vec::new(), + node_labels: Vec::new(), collections: vec![stored.to_string()], identities, }) @@ -133,6 +137,7 @@ fn edge_batch(stored: &str, batch: Vec) -> Vec { rows_redo: Vec::new(), rows: Vec::new(), edges: Vec::new(), + node_labels: Vec::new(), collections: vec![stored.to_string()], identities: Vec::new(), }, @@ -264,6 +269,46 @@ pub(super) async fn commit_edges( Ok(transactions) } +/// Commit every restored node of `homed` in `database_id`, marked under +/// `restore_id`: one batch of a home's nodes per transaction. Returns the +/// transactions committed. +pub(super) async fn commit_labels( + state: &SharedState, + tenant_id: TenantId, + database_id: DatabaseId, + restore_id: u64, + homed: HomedLabels, +) -> crate::Result { + let mut transactions = 0usize; + for (vshard_id, nodes) in homed { + for batch in batch_units(nodes, label_weight) { + super::super::durable::log_reissue_step( + state, + "node labels", + "", + vshard_id, + batch.len(), + ); + let plan = RestoredRedo { + vshard: vshard_id.as_u32(), + rows_redo: Vec::new(), + rows: Vec::new(), + edges: Vec::new(), + node_labels: batch, + collections: Vec::new(), + identities: Vec::new(), + }; + commit_batch(state, tenant_id, database_id, restore_id, vec![plan]) + .await + .map_err(|e| { + in_context(e, &format!("node labels to vShard {}", vshard_id.as_u32())) + })?; + transactions += 1; + } + } + Ok(transactions) +} + #[cfg(test)] mod tests { use nodedb_physical::physical_plan::RestoredEdgeVersion; @@ -302,6 +347,7 @@ mod tests { dst_surrogate: 2, system_from, properties: Some(Vec::new()), + valid_time: Some((0, i64::MAX)), }, identities: vec![ CarriedIdentity { diff --git a/nodedb/src/control/backup/restore/redo_reissue/documents.rs b/nodedb/src/control/backup/restore/redo_reissue/documents.rs index c1252002e..1eeda0aa1 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/documents.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/documents.rs @@ -38,7 +38,7 @@ use super::sub_record::VersionStamp; enum StoredRow { /// The one current body of a row with no history. Current(Vec), - /// Every `(sys_from_ms, versioned value)` of a bitemporal row. + /// Every `(sys_from, versioned value)` of a bitemporal row. Versions(Vec<(i64, Vec)>), } @@ -115,13 +115,13 @@ fn group_rows( let (db, collection, rest) = split_key(&key, tenant_id)?; let (hex, sys) = rest.split_once('\x00').ok_or_else(|| malformed(&key))?; let storage_key = StorageKey::parse(hex).ok_or_else(|| malformed(&key))?; - let sys_from_ms = sys.parse::().map_err(|_| malformed(&key))?; + let sys_from = sys.parse::().map_err(|_| malformed(&key))?; let rows = grouped.entry((db, collection.to_string())).or_default(); match rows .entry(storage_key) .or_insert_with(|| StoredRow::Versions(Vec::new())) { - StoredRow::Versions(versions) => versions.push((sys_from_ms, value)), + StoredRow::Versions(versions) => versions.push((sys_from, value)), StoredRow::Current(_) => { return Err(crate::Error::Serialization { format: "backup".into(), @@ -266,7 +266,7 @@ impl RowBuilder<'_> { fn versions(&self, key: StorageKey, versions: &[(i64, Vec)]) -> crate::Result { // Decode every version first: the identity comes from a live body. let mut decoded = Vec::with_capacity(versions.len()); - for (sys_from_ms, raw) in versions { + for (sys_from, raw) in versions { let version = decode_value(raw)?; let body = match version.tag { TAG_LIVE => Some(body_msgpack( @@ -280,7 +280,7 @@ impl RowBuilder<'_> { return Err(crate::Error::Serialization { format: "versioned-doc".into(), detail: format!( - "restore: version {sys_from_ms} of row {key} of '{}' carries tag \ + "restore: version {sys_from} of row {key} of '{}' carries tag \ {tag:#04x}, which no write path records", self.collection ), @@ -288,7 +288,7 @@ impl RowBuilder<'_> { } }; let stamp = VersionStamp { - sys_from_ms: *sys_from_ms, + sys_from: *sys_from, valid_from_ms: version.valid_from_ms, valid_until_ms: version.valid_until_ms, }; diff --git a/nodedb/src/control/backup/restore/redo_reissue/edges.rs b/nodedb/src/control/backup/restore/redo_reissue/edges.rs index 3049a0687..7b060dbce 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/edges.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/edges.rs @@ -119,10 +119,14 @@ fn edge_unit( ), }); } - let properties = if is_tombstone(value) { - None + let (properties, valid_time) = if is_tombstone(value) { + (None, None) } else { - Some(EdgeValuePayload::decode(value)?.properties) + let payload = EdgeValuePayload::decode(value)?; + ( + Some(payload.properties), + Some((payload.valid_from_ms, payload.valid_until_ms)), + ) }; let src = node_identity(resolved, collection, src_id)?; let dst = node_identity(resolved, collection, dst_id)?; @@ -136,6 +140,7 @@ fn edge_unit( dst_surrogate: dst.surrogate.as_u32(), system_from, properties, + valid_time, }, homes: RecordHomes::edge(src_id, dst_id), identities: vec![src, dst], diff --git a/nodedb/src/control/backup/restore/redo_reissue/labels.rs b/nodedb/src/control/backup/restore/redo_reissue/labels.rs new file mode 100644 index 000000000..cd9296871 --- /dev/null +++ b/nodedb/src/control/backup/restore/redo_reissue/labels.rs @@ -0,0 +1,132 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Restored node labels as label units. +//! +//! A backup carries every node's current label set and every label version. +//! Each node re-issues to the owner home of its labels +//! ([`HomedRecord::NodeLabels`]), where every label write of the node +//! routes. Its versions re-issue in ascending system time, each at its +//! original system time, so the restored node keeps its label history. +//! Labels belong to no collection: a node keeps its id across the move into +//! the destination database. + +use std::collections::BTreeMap; + +use nodedb_physical::physical_plan::RestoredNodeLabels; + +use crate::types::{HomedRecord, NodeLabelVersionEntry, NodeLabelsEntry, RecordHomes, VShardId}; + +/// The restored nodes of each home vShard, in node order. +pub(super) type HomedLabels = BTreeMap>; + +fn foreign_tenant(found: u64, tenant_id: u64) -> crate::Error { + crate::Error::Serialization { + format: "backup".into(), + detail: format!( + "restore: a node label section of tenant {found} is in the backup of tenant \ + {tenant_id}" + ), + } +} + +/// Every node `current` or `versions` names, with its versions and its +/// current label set, grouped by home vShard. Every entry must belong to +/// `tenant_id`. +pub(super) fn label_units( + tenant_id: u64, + current: Vec, + versions: Vec, +) -> crate::Result { + let mut nodes: BTreeMap = BTreeMap::new(); + let mut by_ordinal: BTreeMap>> = BTreeMap::new(); + for (_, tid, node, ordinal, labels) in versions { + if tid != tenant_id { + return Err(foreign_tenant(tid, tenant_id)); + } + by_ordinal.entry(node).or_default().insert(ordinal, labels); + } + for (_, tid, node, labels) in current { + if tid != tenant_id { + return Err(foreign_tenant(tid, tenant_id)); + } + nodes + .entry(node.clone()) + .or_insert_with(|| empty(node)) + .current = labels; + } + for (node, ordinals) in by_ordinal { + nodes + .entry(node.clone()) + .or_insert_with(|| empty(node)) + .versions = ordinals.into_iter().collect(); + } + let mut homed = HomedLabels::new(); + for (node, restored) in nodes { + let home = RecordHomes::of(HomedRecord::NodeLabels { node: &node }).owner(); + homed.entry(home).or_default().push(restored); + } + Ok(homed) +} + +fn empty(node_id: String) -> RestoredNodeLabels { + RestoredNodeLabels { + node_id, + versions: Vec::new(), + current: Vec::new(), + } +} + +/// The encoded weight of one restored node, for sizing batches: its +/// versions plus its current set as units, and their bytes. +pub(super) fn label_weight(node: &RestoredNodeLabels) -> (usize, usize) { + let labels_len = |labels: &[String]| labels.iter().map(String::len).sum::(); + let bytes = node.node_id.len() + + labels_len(&node.current) + + node + .versions + .iter() + .map(|(_, labels)| 8 + labels_len(labels)) + .sum::(); + (node.versions.len() + 1, bytes) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn labels(names: &[&str]) -> Vec { + names.iter().map(|n| n.to_string()).collect() + } + + #[test] + fn each_node_restores_on_its_home_with_its_history() { + let homed = label_units( + 7, + vec![(1, 7, "alice".into(), labels(&["Admin"]))], + vec![ + (1, 7, "alice".into(), 200, labels(&["Admin"])), + (1, 7, "alice".into(), 100, labels(&["Person"])), + (1, 7, "bob".into(), 150, labels(&[])), + ], + ) + .expect("units"); + let alice = &homed[&VShardId::from_key(b"alice")] + .iter() + .find(|n| n.node_id == "alice") + .expect("alice restores on her home"); + assert_eq!( + alice.versions, + vec![(100, labels(&["Person"])), (200, labels(&["Admin"]))] + ); + assert_eq!(alice.current, labels(&["Admin"])); + let bob = &homed[&VShardId::from_key(b"bob")] + .iter() + .find(|n| n.node_id == "bob") + .expect("bob restores on his home"); + assert!(bob.current.is_empty()); + assert!( + label_units(7, vec![(1, 8, "x".into(), labels(&["L"]))], Vec::new()).is_err(), + "another tenant's labels are refused" + ); + } +} diff --git a/nodedb/src/control/backup/restore/redo_reissue/mod.rs b/nodedb/src/control/backup/restore/redo_reissue/mod.rs index 4516ddf58..16bc41e69 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/mod.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/mod.rs @@ -1,11 +1,12 @@ // SPDX-License-Identifier: BUSL-1.1 -//! Durable, replicated RESTORE of document rows, their index entries, and -//! graph edges, as Calvin transactions. +//! Durable, replicated RESTORE of document rows, their index entries, graph +//! edges and node labels, as Calvin transactions. mod commit; mod documents; mod edges; +mod labels; mod prepared; mod reissue; mod sub_record; diff --git a/nodedb/src/control/backup/restore/redo_reissue/prepared.rs b/nodedb/src/control/backup/restore/redo_reissue/prepared.rs index 7451b755f..f2bbbb8a2 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/prepared.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/prepared.rs @@ -106,7 +106,7 @@ pub(super) fn document_units( for (stamp, body) in versions { ops.push(match body { Some(value) => document_put(stored, pk, value, raw, Some(stamp))?, - None => document_tombstone(stored, pk, raw, stamp.sys_from_ms)?, + None => document_tombstone(stored, pk, raw, stamp.sys_from)?, }); } (ops, ends_live) diff --git a/nodedb/src/control/backup/restore/redo_reissue/reissue.rs b/nodedb/src/control/backup/restore/redo_reissue/reissue.rs index eab133411..a4f7b3793 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/reissue.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/reissue.rs @@ -1,11 +1,11 @@ // SPDX-License-Identifier: BUSL-1.1 -//! Re-issue every restored document row and graph edge as Calvin +//! Re-issue every restored document row, graph edge and node label as Calvin //! transactions. //! //! Rows go first, then edges, so an edge's endpoints are in place when it -//! installs. Each row goes to its collection's home, each edge to both of its -//! endpoint homes. Every one of them runs in the Calvin sequence, so one +//! installs, then node labels. Each row goes to its collection's home, each +//! edge to both of its endpoint homes, each node's labels to its home. Every one of them runs in the Calvin sequence, so one //! RESTORE has one ordering domain. A backup's index entries are not //! re-issued: every replica derives a row's secondary index entries as it //! installs the row, exactly as for a committed transaction's row. @@ -14,8 +14,9 @@ use crate::control::state::SharedState; use crate::types::TenantId; use super::super::target::DatabaseTarget; -use super::commit::{commit_collection, commit_edges}; +use super::commit::{commit_collection, commit_edges, commit_labels}; use super::edges::edge_units; +use super::labels::label_units; use super::prepared::{PreparedRows, document_units}; /// The backup sections this re-issue consumes. @@ -23,6 +24,10 @@ pub(in crate::control::backup::restore) struct RestoredRows { /// The document rows, prepared and checked against their homes. pub documents: Vec, pub edges: Vec<(String, Vec)>, + /// Each node's current label set. + pub node_labels: Vec, + /// Every node label version. + pub node_label_versions: Vec, } /// What the re-issue committed. @@ -70,5 +75,7 @@ pub(in crate::control::backup::restore) async fn reissue_rows_and_edges( for collection in edges { stats.records += commit_edges(state, tenant, target.restore_id, collection).await?; } + let labels = label_units(tenant_id, rows.node_labels, rows.node_label_versions)?; + stats.records += commit_labels(state, tenant, target.dest, target.restore_id, labels).await?; Ok(stats) } diff --git a/nodedb/src/control/backup/restore/redo_reissue/sub_record.rs b/nodedb/src/control/backup/restore/redo_reissue/sub_record.rs index 15df26f95..c3e8ce2a1 100644 --- a/nodedb/src/control/backup/restore/redo_reissue/sub_record.rs +++ b/nodedb/src/control/backup/restore/redo_reissue/sub_record.rs @@ -7,9 +7,9 @@ //! arm a committed transaction's row does: //! //! * document put: `(collection, document_id, value, prov, surrogate)`, plus -//! `(sys_from_ms, valid_from_ms, valid_until_ms)` for a version of a +//! `(sys_from, valid_from_ms, valid_until_ms)` for a version of a //! `bitemporal=true` collection; -//! * document delete: `(collection, document_id, prov, surrogate, sys_from_ms)`, +//! * document delete: `(collection, document_id, prov, surrogate, sys_from)`, //! a tombstone version of a `bitemporal=true` collection. //! //! A restored edge version travels typed, and its transaction's resolve @@ -20,10 +20,10 @@ use nodedb_wal::record::RecordType; use crate::wal::RedoSubRecord; -/// The system and valid time a document version was stored at. +/// The system-time ordinal and valid time a document version was stored at. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub(super) struct VersionStamp { - pub sys_from_ms: i64, + pub sys_from: i64, pub valid_from_ms: i64, pub valid_until_ms: i64, } @@ -53,7 +53,7 @@ pub(super) fn document_put( value, prov, surrogate, - s.sys_from_ms, + s.sys_from, s.valid_from_ms, s.valid_until_ms, )), @@ -66,15 +66,15 @@ pub(super) fn document_put( }) } -/// The tombstone version of a `bitemporal=true` document at `sys_from_ms`. +/// The tombstone version of a `bitemporal=true` document at `sys_from`. pub(super) fn document_tombstone( collection: &str, document_id: &str, surrogate: u32, - sys_from_ms: i64, + sys_from: i64, ) -> crate::Result { let prov: Option = None; - let payload = zerompk::to_msgpack_vec(&(collection, document_id, prov, surrogate, sys_from_ms)) + let payload = zerompk::to_msgpack_vec(&(collection, document_id, prov, surrogate, sys_from)) .map_err(|e| encode_error("document tombstone", e))?; Ok(RedoSubRecord { record_type: RecordType::Delete as u32, @@ -116,7 +116,7 @@ mod tests { #[test] fn a_version_keeps_its_stamp() { let stamp = VersionStamp { - sys_from_ms: 1_000, + sys_from: 1_000, valid_from_ms: 10, valid_until_ms: 20, }; diff --git a/nodedb/src/control/backup/restore/sections.rs b/nodedb/src/control/backup/restore/sections.rs index 995c09e1c..bd4119b31 100644 --- a/nodedb/src/control/backup/restore/sections.rs +++ b/nodedb/src/control/backup/restore/sections.rs @@ -92,6 +92,8 @@ pub(in crate::control::backup) fn append_snapshot( index_configs, surrogate_pk, tenant_edges, + node_labels, + node_label_versions, group_write_marks, group_proposal_keys, group_proposal_keys_complete_from, @@ -141,6 +143,9 @@ pub(in crate::control::backup) fn append_snapshot( into.surrogate_pk.extend(surrogate_pk); into.arrays.extend(arrays); into.tenant_edges.extend(tenant_edges); + // Each node's labels come from the source of its home vShard. + into.node_labels.extend(node_labels); + into.node_label_versions.extend(node_label_versions); // A backup carries no marks: the guard reads the destination's marks. into.group_write_marks.extend(group_write_marks); // A backup carries no proposal keys: they serve Raft installs only. diff --git a/nodedb/src/control/backup/snapshot_keys.rs b/nodedb/src/control/backup/snapshot_keys.rs index 9e7b6da19..dcfb47f2d 100644 --- a/nodedb/src/control/backup/snapshot_keys.rs +++ b/nodedb/src/control/backup/snapshot_keys.rs @@ -208,6 +208,14 @@ pub fn retain_tenant_data_for_vshards( snap.edge_hidden.clear(); snap.edge_cuts.clear(); snap.edge_applied.clear(); + // A node's labels home by the node, whatever collection its edges live + // in. The source of that home keeps them. + let owned_node = + |node: &str| RecordHomes::of(HomedRecord::NodeLabels { node }).owned_by(source_vshards); + snap.node_labels + .retain(|(_, _, node, _)| owned_node(node.as_str())); + snap.node_label_versions + .retain(|(_, _, node, _, _)| owned_node(node.as_str())); // CRDT (`crdt_state`): each entry carries its single collection. Keep it iff // that collection's vshard is in this source set — exactly one source node diff --git a/nodedb/src/control/catalog_entry/apply/credential.rs b/nodedb/src/control/catalog_entry/apply/credential.rs new file mode 100644 index 000000000..0311aa6ff --- /dev/null +++ b/nodedb/src/control/catalog_entry/apply/credential.rs @@ -0,0 +1,30 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Apply credential catalog entries to `SystemCatalog` redb. +//! +//! A put leaves a live row of the same name unchanged, so two racing +//! `CREATE CREDENTIAL` statements leave the one the log orders first. The +//! statement that proposed the entry reads the row back to report the +//! outcome. + +use crate::control::security::catalog::{SystemCatalog, catalog_err}; +use crate::control::security::source_credential::StoredCredential; + +pub fn put(row: &StoredCredential, catalog: &SystemCatalog) -> crate::Result<()> { + let existing = catalog + .get_credential(row.tenant_id, &row.name) + .map_err(|e| catalog_err(&format!("read credential {}", row.name), e))?; + if existing.is_some() { + return Ok(()); + } + catalog + .put_credential(row) + .map_err(|e| catalog_err(&format!("create credential {}", row.name), e)) +} + +pub fn remove(tenant_id: u64, name: &str, catalog: &SystemCatalog) -> crate::Result<()> { + catalog + .delete_credential(tenant_id, name) + .map(|_| ()) + .map_err(|e| catalog_err(&format!("drop credential {name}"), e)) +} diff --git a/nodedb/src/control/catalog_entry/apply/dispatch.rs b/nodedb/src/control/catalog_entry/apply/dispatch.rs index 0f0a41711..18561ae4f 100644 --- a/nodedb/src/control/catalog_entry/apply/dispatch.rs +++ b/nodedb/src/control/catalog_entry/apply/dispatch.rs @@ -12,11 +12,11 @@ use super::outcome::ApplyOutcome; use super::{ alert_rule, api_key, array, auth_user, backup_schedule, change_stream, checkpoint, clone_cow, - collection, column_stats, consumer_group, continuous_aggregate, custom_type, database, - function, index_registry, materialized_view, oidc_provider, owner, permission, procedure, - quota, redaction, retention_policy, rls, role, schedule, scope_grant, scope_quota, sequence, - streaming_materialized_view, synonym_group, tenant, topic, trigger, user, vector, - wal_tombstone, + collection, column_stats, consumer_group, continuous_aggregate, credential, custom_type, + database, function, index_registry, materialized_view, oidc_provider, owner, permission, + procedure, quota, redaction, retention_policy, rls, role, schedule, scope_grant, scope_quota, + sequence, spatial_ref_sys, streaming_materialized_view, synonym_group, tenant, topic, trigger, + user, vector, wal_tombstone, }; /// Apply `entry` to `catalog`. @@ -423,6 +423,12 @@ fn apply_to_inner(entry: &CatalogEntry, catalog: &SystemCatalog) -> crate::Resul // The post-apply writes them. CatalogEntry::CommitConsumerOffsets(_) => Ok(()), CatalogEntry::PutBackupScheduleMark(mark) => backup_schedule::raise_mark(mark, catalog), + CatalogEntry::PutSpatialRefSys(def) => spatial_ref_sys::define(def, catalog), + CatalogEntry::DropSpatialRefSys { srid } => spatial_ref_sys::retire(*srid, catalog), + CatalogEntry::PutCredential(row) => credential::put(row, catalog), + CatalogEntry::DropCredential { tenant_id, name } => { + credential::remove(*tenant_id, name, catalog) + } } } diff --git a/nodedb/src/control/catalog_entry/apply/mod.rs b/nodedb/src/control/catalog_entry/apply/mod.rs index 0055e017a..45557436a 100644 --- a/nodedb/src/control/catalog_entry/apply/mod.rs +++ b/nodedb/src/control/catalog_entry/apply/mod.rs @@ -18,6 +18,7 @@ pub mod collection; pub mod column_stats; pub mod consumer_group; pub mod continuous_aggregate; +pub mod credential; pub mod custom_type; pub mod database; mod dispatch; @@ -38,6 +39,7 @@ pub mod schedule; pub mod scope_grant; pub mod scope_quota; pub mod sequence; +pub mod spatial_ref_sys; pub mod streaming_materialized_view; pub mod synonym_group; pub mod tenant; diff --git a/nodedb/src/control/catalog_entry/apply/spatial_ref_sys.rs b/nodedb/src/control/catalog_entry/apply/spatial_ref_sys.rs new file mode 100644 index 000000000..9fe0f70c1 --- /dev/null +++ b/nodedb/src/control/catalog_entry/apply/spatial_ref_sys.rs @@ -0,0 +1,84 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Apply user-defined CRS catalog entries to `SystemCatalog` redb. +//! +//! A define of a code that is live or dropped leaves the set unchanged. A +//! drop of a code that is not live, or that a catalog definition names, +//! leaves it unchanged too. Every node applies the same log over the same +//! catalog, so every node leaves the set alike, and the statement that +//! proposed the entry reads the set back to report the outcome. + +use nodedb_crs::{CrsDef, Srid}; + +use crate::control::security::catalog::{SystemCatalog, catalog_err}; + +pub fn define(def: &CrsDef, catalog: &SystemCatalog) -> crate::Result<()> { + catalog + .define_custom_crs(def) + .map(|_| ()) + .map_err(|e| catalog_err(&format!("define spatial_ref_sys {}", def.srid), e)) +} + +/// Retire `srid` unless a definition names it. The DDL checks the names +/// before it proposes. This check covers a definition that committed +/// between that check and the drop. +pub fn retire(srid: Srid, catalog: &SystemCatalog) -> crate::Result<()> { + if !catalog.srid_referrers(srid)?.is_empty() { + return Ok(()); + } + catalog + .drop_custom_crs(srid) + .map(|_| ()) + .map_err(|e| catalog_err(&format!("drop spatial_ref_sys {srid}"), e)) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::control::security::catalog::StoredCollection; + use crate::control::security::catalog::collection_constraints::CheckConstraintDef; + use nodedb_crs::{CustomCrsState, parse_proj_string}; + use nodedb_types::DatabaseId; + + /// A collection that names the code committed after the DDL checked: + /// the apply leaves the code live. With the definition gone, the drop + /// applies. + #[test] + fn a_named_code_stays_live_at_apply() { + let tmp = tempfile::tempdir().expect("tmpdir"); + let catalog = SystemCatalog::open(&tmp.path().join("system.redb")).expect("open"); + let srid = Srid::new(910_077).expect("srid"); + let def = + parse_proj_string(srid, "tm", "+proj=tmerc +lon_0=101 +ellps=GRS80").expect("parses"); + define(&def, &catalog).expect("define"); + + let mut coll = StoredCollection::stamped_for_test(1, "parcels", "admin"); + coll.check_constraints = vec![CheckConstraintDef { + name: "in_tm".into(), + check_sql: "ST_X(ST_Transform(NEW.loc, 910077)) > 0".into(), + has_subquery: false, + }]; + catalog + .put_collection(DatabaseId::DEFAULT, &coll) + .expect("collection"); + retire(srid, &catalog).expect("retire"); + assert!(matches!( + catalog.custom_crs_set().get(srid), + Some(CustomCrsState::Live(_)) + )); + assert_eq!( + catalog.srid_referrers(srid).expect("scan"), + vec!["collection 'parcels' (tenant 1, database 0): CHECK constraint 'in_tm'"] + ); + + coll.check_constraints.clear(); + catalog + .put_collection(DatabaseId::DEFAULT, &coll) + .expect("collection"); + retire(srid, &catalog).expect("retire"); + assert_eq!( + catalog.custom_crs_set().get(srid), + Some(&CustomCrsState::Dropped) + ); + } +} diff --git a/nodedb/src/control/catalog_entry/authorization.rs b/nodedb/src/control/catalog_entry/authorization.rs index 087d08fe4..680f33741 100644 --- a/nodedb/src/control/catalog_entry/authorization.rs +++ b/nodedb/src/control/catalog_entry/authorization.rs @@ -105,7 +105,11 @@ impl CatalogEntry { | Self::DeleteArray { .. } | Self::DeleteVectorIndexParams { .. } | Self::CommitConsumerOffsets(_) - | Self::PutBackupScheduleMark(_) => false, + | Self::PutBackupScheduleMark(_) + | Self::PutSpatialRefSys(_) + | Self::DropSpatialRefSys { .. } + | Self::PutCredential(_) + | Self::DropCredential { .. } => false, } } } diff --git a/nodedb/src/control/catalog_entry/descriptor_stamp.rs b/nodedb/src/control/catalog_entry/descriptor_stamp.rs index 4d5a367c1..03e5e1d74 100644 --- a/nodedb/src/control/catalog_entry/descriptor_stamp.rs +++ b/nodedb/src/control/catalog_entry/descriptor_stamp.rs @@ -293,7 +293,11 @@ pub fn stamp( | CatalogEntry::DeleteCloneSourceDrain { .. } | CatalogEntry::MoveTenantCutover { .. } | CatalogEntry::CommitConsumerOffsets(_) - | CatalogEntry::PutBackupScheduleMark(_)) => entry, + | CatalogEntry::PutBackupScheduleMark(_) + | CatalogEntry::PutSpatialRefSys(_) + | CatalogEntry::DropSpatialRefSys { .. } + | CatalogEntry::PutCredential(_) + | CatalogEntry::DropCredential { .. }) => entry, }) } diff --git a/nodedb/src/control/catalog_entry/entry.rs b/nodedb/src/control/catalog_entry/entry.rs index 18673fb7b..0cd863057 100644 --- a/nodedb/src/control/catalog_entry/entry.rs +++ b/nodedb/src/control/catalog_entry/entry.rs @@ -673,4 +673,27 @@ pub enum CatalogEntry { /// minute nor repeats a finished one. The mark is keyed by the schedule's /// config incarnation, and apply only raises it, so a replay is a no-op. PutBackupScheduleMark(Box), + + // ── User-defined CRSs ────────────────────────────────────────── + /// `CREATE SPATIAL_REF_SYS`: one user-defined CRS. Apply defines it in + /// the catalog's set, and leaves the set unchanged when the code is live + /// or dropped. Post-apply sends the set to every core of every node. + PutSpatialRefSys(Box), + /// `DROP SPATIAL_REF_SYS`: retire a user-defined CRS. The code stays a + /// tombstone and is never reused, so stored data that names it fails to + /// resolve instead of changing meaning. + DropSpatialRefSys { + srid: nodedb_crs::Srid, + }, + + // ── Credentials ──────────────────────────────────────────────── + /// `CREATE CREDENTIAL`: one credential, its secret sealed before the + /// proposal so the log holds ciphertext only. Apply writes the row when + /// the name is free and leaves a live row unchanged. + PutCredential(Box), + /// `DROP CREDENTIAL`: remove one credential. + DropCredential { + tenant_id: u64, + name: String, + }, } diff --git a/nodedb/src/control/catalog_entry/kind.rs b/nodedb/src/control/catalog_entry/kind.rs index 5c36f74a3..7c1cc91a2 100644 --- a/nodedb/src/control/catalog_entry/kind.rs +++ b/nodedb/src/control/catalog_entry/kind.rs @@ -103,6 +103,10 @@ impl CatalogEntry { Self::DeleteVectorIndexParams { .. } => "delete_vector_index_params", Self::CommitConsumerOffsets(_) => "commit_consumer_offsets", Self::PutBackupScheduleMark(_) => "put_backup_schedule_mark", + Self::PutSpatialRefSys(_) => "put_spatial_ref_sys", + Self::DropSpatialRefSys { .. } => "drop_spatial_ref_sys", + Self::PutCredential(_) => "put_credential", + Self::DropCredential { .. } => "drop_credential", } } } diff --git a/nodedb/src/control/catalog_entry/post_apply/async_dispatch/dispatcher.rs b/nodedb/src/control/catalog_entry/post_apply/async_dispatch/dispatcher.rs index 4bae70d60..ecbdb489e 100644 --- a/nodedb/src/control/catalog_entry/post_apply/async_dispatch/dispatcher.rs +++ b/nodedb/src/control/catalog_entry/post_apply/async_dispatch/dispatcher.rs @@ -276,6 +276,19 @@ pub async fn run_post_apply_async_side_effects( } => { super::synonym_group::delete_async(database_id, tenant_id, name, &shared).await; } + // AWAITED: every core must hold the new set before the applied-index + // watcher bumps. A statement that runs first refuses the CRS it just + // defined, or still resolves the one it just dropped. A core that + // misses the set stops the batch, and the re-delivered entry resends + // it. + CatalogEntry::PutSpatialRefSys(_) => { + super::spatial_ref_sys::install_on_every_core(&shared, "define").await?; + } + CatalogEntry::DropSpatialRefSys { .. } => { + super::spatial_ref_sys::install_on_every_core(&shared, "drop").await?; + } + // No core holds a credential: a COPY reads the catalog row. + CatalogEntry::PutCredential(_) | CatalogEntry::DropCredential { .. } => {} // AWAITED: the moved rows must leave the source key before the // applied-index watcher bumps. Otherwise a same-name CREATE in the // source database observes them. diff --git a/nodedb/src/control/catalog_entry/post_apply/async_dispatch/mod.rs b/nodedb/src/control/catalog_entry/post_apply/async_dispatch/mod.rs index 2207389b5..d8b176603 100644 --- a/nodedb/src/control/catalog_entry/post_apply/async_dispatch/mod.rs +++ b/nodedb/src/control/catalog_entry/post_apply/async_dispatch/mod.rs @@ -27,6 +27,7 @@ pub mod crdt_compact; mod dispatcher; pub mod materialized_view; pub mod move_tenant; +pub mod spatial_ref_sys; pub mod synonym_group; pub mod vector; diff --git a/nodedb/src/control/catalog_entry/post_apply/async_dispatch/spatial_ref_sys.rs b/nodedb/src/control/catalog_entry/post_apply/async_dispatch/spatial_ref_sys.rs new file mode 100644 index 000000000..fe7d96a62 --- /dev/null +++ b/nodedb/src/control/catalog_entry/post_apply/async_dispatch/spatial_ref_sys.rs @@ -0,0 +1,47 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Async post-apply for user-defined CRS catalog entries. +//! +//! `PutSpatialRefSys` and `DropSpatialRefSys` change the catalog's +//! user-defined CRS set. Each Data Plane core resolves SRIDs against its own +//! copy, so this sends the whole set to every core on this node. Both run on +//! every node, so every core in the cluster resolves a user-defined SRID the +//! way the statement's node does. +//! +//! The metadata applier awaits the install before the entry counts as +//! applied. A core that does not apply the set fails the install: the +//! applier stops the batch at the entry, and the re-delivered entry sends +//! the set again. So no later metadata entry, and no replicated write held +//! behind this entry's metadata index, reaches a core that lacks the set. + +use nodedb_physical::physical_plan::MetaOp; + +use crate::bridge::envelope::PhysicalPlan; +use crate::control::state::SharedState; + +use super::core_fanout::{CoreFanout, dispatch_to_every_core}; + +/// Name the fan-out reports a CRS set dispatch under. The set belongs to no +/// collection, and the fan-out addresses each core directly. +const SPATIAL_REF_SYS_SENTINEL_COLLECTION: &str = "_spatial_ref_sys"; + +/// Send the catalog's current user-defined CRS set to every core on this +/// node. `cause` names the change for the report: `define`, `drop` or +/// `image`. `Err` when a core did not apply the set. +pub async fn install_on_every_core(shared: &SharedState, cause: &'static str) -> crate::Result<()> { + let set = shared.credentials.catalog().custom_crs_set(); + let entries = set.len(); + let plan = PhysicalPlan::Meta(MetaOp::SetCustomCrsSet { + set: nodedb_crs::CustomCrsSet::clone(&set), + }); + let fanout = CoreFanout { + database_id: crate::types::DatabaseId::DEFAULT.as_u64(), + tenant_id: 0, + collection: SPATIAL_REF_SYS_SENTINEL_COLLECTION, + what: "user-defined CRS set", + detail: cause, + }; + dispatch_to_every_core(shared, &fanout, &plan) + .await + .inspect_err(|error| crate::diag::custom_crs_set_not_applied(error, cause, entries)) +} diff --git a/nodedb/src/control/catalog_entry/post_apply/gateway_invalidation.rs b/nodedb/src/control/catalog_entry/post_apply/gateway_invalidation.rs index bc0c396c3..a595c4b96 100644 --- a/nodedb/src/control/catalog_entry/post_apply/gateway_invalidation.rs +++ b/nodedb/src/control/catalog_entry/post_apply/gateway_invalidation.rs @@ -48,6 +48,9 @@ use crate::control::state::SharedState; /// | PutAlertRule / DeleteAlertRule | ❌ no | alert rules drive their own eval loop and never enter a PhysicalPlan | /// | Topic / consumer-group variants | ❌ no | Event Plane delivery identities that never enter a PhysicalPlan | /// | PutArray / DeleteArray | ✅ yes | array schema and routing prefix are baked into the plan | +/// | PutSpatialRefSys | ❌ no | a new code is one no cached plan resolved: planning it failed | +/// | DropSpatialRefSys | ✅ yes, all | any cached plan can carry the dropped definition, and no version set names a CRS | +/// | PutCredential / DropCredential | ❌ no | a COPY reads the credential row when it runs; no plan carries it | pub(crate) fn invalidate_gateway_cache_for_entry(entry: &CatalogEntry, shared: &Arc) { let Some(inv) = shared.gateway_invalidator.get() else { return; @@ -343,6 +346,17 @@ pub(crate) fn invalidate_gateway_cache_for_entry(entry: &CatalogEntry, shared: & CatalogEntry::PutBackupScheduleMark(_) => { // no-op: a backup schedule mark never enters a query plan. } + CatalogEntry::PutSpatialRefSys(_) => { + // no-op: no cached plan resolved a code before it was defined. + } + CatalogEntry::PutCredential(_) | CatalogEntry::DropCredential { .. } => { + // no-op: a COPY reads the credential row when it runs. + } + CatalogEntry::DropSpatialRefSys { .. } => { + // A plan resolves a CRS to its definition at planning time, so + // a cached plan can still transform with the dropped one. + inv.invalidate_all(); + } CatalogEntry::PutCheckpoint(_) | CatalogEntry::DeleteCheckpoint { .. } | CatalogEntry::CompactHistory { .. } => { diff --git a/nodedb/src/control/catalog_entry/post_apply/mod.rs b/nodedb/src/control/catalog_entry/post_apply/mod.rs index e4d7190a5..1b00509f2 100644 --- a/nodedb/src/control/catalog_entry/post_apply/mod.rs +++ b/nodedb/src/control/catalog_entry/post_apply/mod.rs @@ -29,6 +29,7 @@ pub mod custom_type; pub mod database; pub mod function; pub mod materialized_view; +pub mod oidc_provider; pub mod owner; pub mod permission; pub mod procedure; @@ -70,6 +71,7 @@ pub(crate) use async_dispatch::continuous_aggregate::{ }; pub(crate) use async_dispatch::crdt_compact::{compact_async, drain_pending_compactions}; pub use async_dispatch::run_post_apply_async_side_effects; +pub(crate) use async_dispatch::spatial_ref_sys::install_on_every_core as install_custom_crs_set; pub(crate) use async_dispatch::synonym_group::delete_async as remove_synonym_group; pub(crate) use async_dispatch::synonym_group::put_async as install_synonym_group; pub(crate) use async_dispatch::vector::delete_async as remove_vector_index_params; diff --git a/nodedb/src/control/catalog_entry/post_apply/oidc_provider.rs b/nodedb/src/control/catalog_entry/post_apply/oidc_provider.rs new file mode 100644 index 000000000..95e814ff0 --- /dev/null +++ b/nodedb/src/control/catalog_entry/post_apply/oidc_provider.rs @@ -0,0 +1,33 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Post-apply for `PutOidcProvider` / `DeleteOidcProvider`: register the +//! provider with this node's JWKS registry, or unregister it. +//! +//! Registration is synchronous, so a token verified after the applied index +//! advances finds the provider registered. The key fetch runs detached: it +//! is network I/O, and the first token with an unknown `kid` fetches the +//! keys itself when the detached fetch has not landed. + +use std::sync::Arc; + +use crate::control::security::catalog::StoredOidcProvider; +use crate::control::state::SharedState; + +/// Post-apply for `PutOidcProvider`. +pub fn put(provider: &StoredOidcProvider, shared: &Arc) { + let Some(registry) = shared.jwks_registry.as_ref() else { + return; + }; + let target = registry.register_catalog_provider(&provider.provider_name, &provider.jwks_uri); + let registry = Arc::clone(registry); + tokio::spawn(async move { + registry.prefetch(&target).await; + }); +} + +/// Post-apply for `DeleteOidcProvider`. +pub fn delete(name: &str, shared: &Arc) { + if let Some(registry) = shared.jwks_registry.as_ref() { + registry.unregister_catalog_provider(name); + } +} diff --git a/nodedb/src/control/catalog_entry/post_apply/sync.rs b/nodedb/src/control/catalog_entry/post_apply/sync.rs index d7d65020d..43b05c4ad 100644 --- a/nodedb/src/control/catalog_entry/post_apply/sync.rs +++ b/nodedb/src/control/catalog_entry/post_apply/sync.rs @@ -18,9 +18,10 @@ use std::sync::Arc; use super::gateway_invalidation::invalidate_gateway_cache_for_entry; use super::{ alert_rule, api_key, array, auth_user, change_stream, collection, consumer_group, - continuous_aggregate, custom_type, database, function, materialized_view, owner, permission, - procedure, quota, redaction, retention_policy, rls, role, schedule, scope_grant, scope_quota, - sequence, streaming_materialized_view, synonym_group, tenant, topic, trigger, user, + continuous_aggregate, custom_type, database, function, materialized_view, oidc_provider, owner, + permission, procedure, quota, redaction, retention_policy, rls, role, schedule, scope_grant, + scope_quota, sequence, streaming_materialized_view, synonym_group, tenant, topic, trigger, + user, }; use crate::control::catalog_entry::entry::CatalogEntry; use crate::control::state::SharedState; @@ -348,10 +349,8 @@ pub fn apply_post_apply_side_effects_sync(entry: &CatalogEntry, shared: &Arc { database::delete_grant(*db_id, *user_id, privilege.clone(), Arc::clone(shared)); } - CatalogEntry::PutOidcProvider(_) | CatalogEntry::DeleteOidcProvider { .. } => { - // No in-memory cache to update yet; the OIDC verify path reads from - // catalog on each request. A runtime cache can be added when needed. - } + CatalogEntry::PutOidcProvider(provider) => oidc_provider::put(provider, shared), + CatalogEntry::DeleteOidcProvider { name } => oidc_provider::delete(name, shared), CatalogEntry::CloneDatabase { target_descriptor, .. } => { @@ -489,5 +488,10 @@ pub fn apply_post_apply_side_effects_sync(entry: &CatalogEntry, shared: &Arc {} + // Apply swapped the catalog's in-memory set. The cores receive it in + // the async post-apply. + CatalogEntry::PutSpatialRefSys(_) | CatalogEntry::DropSpatialRefSys { .. } => {} + // A credential is read from the catalog row on each use. + CatalogEntry::PutCredential(_) | CatalogEntry::DropCredential { .. } => {} } } diff --git a/nodedb/src/control/clone/resolver/resolve.rs b/nodedb/src/control/clone/resolver/resolve.rs index 0cf369073..235834baf 100644 --- a/nodedb/src/control/clone/resolver/resolve.rs +++ b/nodedb/src/control/clone/resolver/resolve.rs @@ -15,11 +15,12 @@ use super::rewrite::rewrite_plan_for_source; /// Parameters for the clone read resolver. pub struct CloneReadParams { - /// The LSN at which the query runs (T_lsn). - pub query_lsn: Lsn, - /// Wall-clock milliseconds corresponding to `query_lsn` (for engine - /// `system_as_of_ms` fields that work in millisecond space). - pub query_ms: Option, + /// The read's `AS OF SYSTEM TIME` milliseconds, `None` for a current read. + /// Only a read of a live clone maps it to an LSN (T_lsn), through this + /// node's WAL time anchors. A read of any other collection never consults + /// the anchors, so a historical read of versions that predate them (a + /// restored backup's) is answered from the versions themselves. + pub as_of_ms: Option, } /// Outcome of attempting to resolve a clone read for one task. @@ -77,10 +78,17 @@ pub async fn resolve_read( }); } + // T_lsn: the highest LSN committed by the `AS OF` time, and a time before + // the oldest retained anchor is refused. Without one, the WAL frontier. + let query_lsn = match params.as_of_ms { + Some(as_of_ms) => state.ms_to_lsn(as_of_ms)?, + None => state.wal.next_lsn(), + }; + // Bitemporal correctness: check if T_lsn < clone_created_at. - if params.query_lsn < live.origin.clone_created_at { + if query_lsn < live.origin.clone_created_at { return Ok(Some(ResolveOutcome::PreDatesClone( - ClonePredicatesNote::new(params.query_lsn, live.origin.clone_created_at), + ClonePredicatesNote::new(query_lsn, live.origin.clone_created_at), ))); } @@ -89,7 +97,7 @@ pub async fn resolve_read( coll_name: coll_name.to_string(), live, }; - let source_tasks = walk_clone_chain(state, &task, tenant_id, params.query_lsn, first).await?; + let source_tasks = walk_clone_chain(state, &task, tenant_id, query_lsn, first).await?; let target_collection_key = crate::control::planner::sql_plan_convert::convert::db_qualified(db_id, coll_name); diff --git a/nodedb/src/control/clone/resolver/rewrite.rs b/nodedb/src/control/clone/resolver/rewrite.rs index fd102c785..753c8f5bd 100644 --- a/nodedb/src/control/clone/resolver/rewrite.rs +++ b/nodedb/src/control/clone/resolver/rewrite.rs @@ -16,9 +16,10 @@ use super::rewrite_engine::{rewrite_columnar, rewrite_document, rewrite_kv, rewr /// Compute the source-side system-time selection for a clone scan rewrite. /// -/// Snapshot clones read the source at a fixed point-in-time (`effective_ms`), -/// so they always collapse to an `AsOf` (or the plan's own selection when the -/// clone carries no ceiling). `AllVersions` (audit log) does not compose with a +/// Snapshot clones read the source at a fixed point-in-time (`effective_ms`): +/// the plan's own point-in-time cut when it is at or before `effective_ms`, +/// else an `AsOf` at `effective_ms`. A clone with no ceiling keeps the plan's +/// selection. `AllVersions` (audit log) does not compose with a /// snapshot clone — the request is rejected with a typed error rather than /// silently picking an arbitrary snapshot. fn rewrite_system_time( @@ -32,9 +33,21 @@ fn rewrite_system_time( .into(), }); } - match effective_ms { - Some(ms) => Ok(SystemTimeScope::AsOf(ms)), - None => Ok(plan_scope), + let Some(ms) = effective_ms else { + return Ok(plan_scope); + }; + // A plan cut at or before the clone's source time is the stricter cut, + // and a pinned cut keeps the statement's one read cut. + match plan_scope { + SystemTimeScope::AsOf(_) | SystemTimeScope::Pinned { .. } + if plan_scope.as_of_ms().is_some_and(|plan_ms| plan_ms <= ms) => + { + Ok(plan_scope) + } + SystemTimeScope::Current + | SystemTimeScope::AsOf(_) + | SystemTimeScope::Pinned { .. } + | SystemTimeScope::AllVersions => Ok(SystemTimeScope::AsOf(ms)), } } @@ -282,6 +295,7 @@ pub(super) fn strip_db_prefix(db_id: DatabaseId, qualified: &str) -> &str { #[cfg(test)] mod tests { + use super::rewrite_system_time; use crate::control::server::shared::plan_util::extract_collection; use nodedb_graph::{Direction, GraphTraversalOptions}; use nodedb_physical::physical_plan::{ @@ -468,6 +482,7 @@ mod tests { bm25_query: None, bm25_field: None, stage: nodedb_physical::physical_plan::RagStage::Local, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }), ), ] @@ -541,4 +556,29 @@ mod tests { ); } } + + /// A plan cut at or before the clone's source time keeps its cut, pinned + /// or not. A later cut, or a live read, reads at the source time. + #[test] + fn a_stricter_plan_cut_survives_the_clone_ceiling() { + let pinned = SystemTimeScope::Pinned { + ordinal: nodedb_types::ms_to_ordinal_upper(100), + cut_marker: 2, + }; + assert_eq!(rewrite_system_time(Some(200), pinned).unwrap(), pinned); + assert_eq!( + rewrite_system_time(Some(200), SystemTimeScope::AsOf(150)).unwrap(), + SystemTimeScope::AsOf(150) + ); + assert_eq!( + rewrite_system_time(Some(50), pinned).unwrap(), + SystemTimeScope::AsOf(50) + ); + assert_eq!( + rewrite_system_time(Some(50), SystemTimeScope::Current).unwrap(), + SystemTimeScope::AsOf(50) + ); + assert_eq!(rewrite_system_time(None, pinned).unwrap(), pinned); + assert!(rewrite_system_time(Some(50), SystemTimeScope::AllVersions).is_err()); + } } diff --git a/nodedb/src/control/clone/resolver/rewrite_engine.rs b/nodedb/src/control/clone/resolver/rewrite_engine.rs index 7a800be2f..3a89a5bc5 100644 --- a/nodedb/src/control/clone/resolver/rewrite_engine.rs +++ b/nodedb/src/control/clone/resolver/rewrite_engine.rs @@ -97,7 +97,7 @@ pub(super) async fn rewrite_document( projection, limit, offset, - system_as_of_ms, + system_time, } if ctx.is_target(collection) => Ok(SourceRewrite::task(PhysicalPlan::Document( DocumentOp::IndexedFetch { collection: ctx.source_qualified.clone(), @@ -107,7 +107,7 @@ pub(super) async fn rewrite_document( projection: projection.clone(), limit: *limit, offset: *offset, - system_as_of_ms: *system_as_of_ms, + system_time: ctx.system_time(*system_time)?, }, ))), diff --git a/nodedb/src/control/cluster/array_cluster_exec/elementwise.rs b/nodedb/src/control/cluster/array_cluster_exec/elementwise.rs index 39405ff38..2ff1dfa27 100644 --- a/nodedb/src/control/cluster/array_cluster_exec/elementwise.rs +++ b/nodedb/src/control/cluster/array_cluster_exec/elementwise.rs @@ -25,7 +25,7 @@ pub(super) struct ElementwiseArgs<'a> { pub op: ArrayBinaryOp, pub attr_idx: u32, pub prefix_bits: u8, - pub system_as_of: Option, + pub system_time: nodedb_types::SystemTimeScope, pub valid_at_ms: Option, pub txn_id: Option, } @@ -41,7 +41,7 @@ impl ClusterArrayExecutor { op, attr_idx, prefix_bits, - system_as_of, + system_time, valid_at_ms, txn_id, } = args; @@ -64,7 +64,7 @@ impl ClusterArrayExecutor { attr_idx, // coord_elementwise stamps each shard's bucket. shard_bucket: None, - system_as_of, + system_time, valid_at_ms, txn_id: txn_id.map(TxnId::as_u64), }; @@ -77,7 +77,7 @@ impl ClusterArrayExecutor { note_array_reads(right, &result.read_versions); // A temporal read ends with one summary row, as a local elementwise // op answers. - if system_as_of.is_some() || valid_at_ms.is_some() { + if system_time.is_temporal() || valid_at_ms.is_some() { let summary = nodedb_types::json_to_msgpack(&serde_json::json!({ "truncated_before_horizon": result.truncated_before_horizon })) diff --git a/nodedb/src/control/cluster/array_cluster_exec/executor.rs b/nodedb/src/control/cluster/array_cluster_exec/executor.rs index 7caa85ca5..3ccd62683 100644 --- a/nodedb/src/control/cluster/array_cluster_exec/executor.rs +++ b/nodedb/src/control/cluster/array_cluster_exec/executor.rs @@ -55,6 +55,7 @@ struct SliceArgs<'a> { system_time: nodedb_types::SystemTimeScope, valid_at_ms: Option, zone_msgpack: &'a [u8], + physical: bool, txn_id: Option, } @@ -65,9 +66,10 @@ struct AggArgs<'a> { group_by_dim: i32, slice_tile_keys: &'a [u64], prefix_bits: u8, - system_as_of: Option, + system_time: nodedb_types::SystemTimeScope, valid_at_ms: Option, region_msgpack: &'a [u8], + physical: bool, txn_id: Option, } @@ -123,6 +125,7 @@ impl ClusterArrayExecutor { system_time, valid_at_ms, zone_msgpack, + physical, } => { self.execute_slice(SliceArgs { array_id, @@ -134,6 +137,7 @@ impl ClusterArrayExecutor { system_time: *system_time, valid_at_ms: *valid_at_ms, zone_msgpack, + physical: *physical, txn_id, }) .await @@ -146,9 +150,10 @@ impl ClusterArrayExecutor { group_by_dim, slice_tile_keys, prefix_bits, - system_as_of, + system_time, valid_at_ms, region_msgpack, + physical, } => { self.execute_agg(AggArgs { array_id, @@ -157,9 +162,10 @@ impl ClusterArrayExecutor { group_by_dim: *group_by_dim, slice_tile_keys, prefix_bits: *prefix_bits, - system_as_of: *system_as_of, + system_time: *system_time, valid_at_ms: *valid_at_ms, region_msgpack, + physical: *physical, txn_id, }) .await @@ -171,7 +177,7 @@ impl ClusterArrayExecutor { op, attr_idx, prefix_bits, - system_as_of, + system_time, valid_at_ms, } => { self.execute_elementwise(super::elementwise::ElementwiseArgs { @@ -180,7 +186,7 @@ impl ClusterArrayExecutor { op: *op, attr_idx: *attr_idx, prefix_bits: *prefix_bits, - system_as_of: *system_as_of, + system_time: *system_time, valid_at_ms: *valid_at_ms, txn_id, }) @@ -241,6 +247,7 @@ impl ClusterArrayExecutor { system_time, valid_at_ms, zone_msgpack, + physical, txn_id, } = args; let coordinator = ArrayCoordinator::for_slice( @@ -270,6 +277,7 @@ impl ClusterArrayExecutor { valid_at_ms, txn_id: txn_id.map(TxnId::as_u64), zone_msgpack: zone_msgpack.to_vec(), + physical, }; let result = coordinator .coord_slice(req, limit, system_time) @@ -301,9 +309,10 @@ impl ClusterArrayExecutor { group_by_dim, slice_tile_keys, prefix_bits, - system_as_of, + system_time, valid_at_ms, region_msgpack, + physical, txn_id, } = args; let coordinator = ArrayCoordinator::for_slice( @@ -325,10 +334,11 @@ impl ClusterArrayExecutor { group_by_dim, cell_filter_msgpack: vec![], shard_bucket: None, - system_as_of, + system_time, valid_at_ms, txn_id: txn_id.map(TxnId::as_u64), region_msgpack: region_msgpack.to_vec(), + physical, }; let agg = coordinator.coord_agg(req).await.map_err(coord_err)?; note_array_reads(array_id, &agg.read_versions); @@ -346,7 +356,7 @@ impl ClusterArrayExecutor { // only. This ensures payload_to_response → decode_payload_to_json emits // the same JSON structure for both single-node and cluster agg queries — // including the below-horizon signal, which must not be silently dropped. - let emit_horizon = system_as_of.is_some() || valid_at_ms.is_some(); + let emit_horizon = system_time.is_temporal() || valid_at_ms.is_some(); let rows = finalize_agg_partials( &agg.partials, &reducer, diff --git a/nodedb/src/control/cluster/array_cluster_helpers.rs b/nodedb/src/control/cluster/array_cluster_helpers.rs index 3c1b3ecdb..b6a8b977a 100644 --- a/nodedb/src/control/cluster/array_cluster_helpers.rs +++ b/nodedb/src/control/cluster/array_cluster_helpers.rs @@ -4,11 +4,14 @@ //! and response-opcode → `VShardMessageType` lookup for the local-dispatch //! fast path. +use nodedb_array::query::agg_number::{AggNumber, AggScalar}; +use nodedb_array::query::aggregate::{AggOutput, AggregateResult, Reducer}; use nodedb_cluster::distributed_array::merge::ArrayAggPartial; use nodedb_cluster::distributed_array::scatter::{ArrayCoordError, ShardFailure}; use nodedb_cluster::distributed_array::{ArrayAggGroupKey, ArrayAggNumber}; use nodedb_cluster::error::ClusterError; use nodedb_cluster::wire::VShardMessageType; +use nodedb_types::array_agg::{DistAcc, Moments}; use crate::Error; @@ -17,6 +20,7 @@ use crate::Error; /// Writes as an untagged msgpack scalar — same wire shape as `AggCell` in /// `data::executor::dispatch::array::aggregate` — so that /// `decode_payload_to_json` produces clean JSON numbers and nulls. +#[derive(Clone)] pub(super) enum AggValue { Float(f64), Int(i64), @@ -65,16 +69,20 @@ fn group_cell(key: &ArrayAggGroupKey) -> Result { /// Finalize merged `ArrayAggPartial`s into the same msgpack-map structure /// the local `ArrayOp::Aggregate` path produces via `encode_agg_rows`. /// -/// For scalar (no group-by), returns a single `[{"result": }]`. -/// For group-by, returns one `{"group": , "result": }` per -/// partial, the dim value typed as its dim. `COUNT` and an integer attr's -/// `SUM` / `MIN` / `MAX` are integers, and a `SUM` past `i64` refuses with -/// SQLSTATE `22003`, as on a single node. `MEAN` is a float. +/// Each partial turns back into the engine partial of `reducer` and +/// finalizes through `AggregateResult::finalize`, the one finalizer a +/// single-node read uses, so both topologies answer the same values: +/// +/// - A scalar reducer gives one `{"result": v}` row, after `"group"` when +/// it groups. `COUNT` and an integer attr's `SUM` / `MIN` / `MAX` / `MODE` +/// are integers, and a `SUM` past `i64` refuses with SQLSTATE `22003`. +/// - A histogram gives one `{"bin_lo", "bin_hi", "count"}` row per bin. +/// - A median, percentile or mode past its distinct-value budget refuses +/// with SQLSTATE `54000`. +/// /// When `emit_horizon` is set (temporal queries only), a trailing -/// `{"truncated_before_horizon": bool}` summary row is appended. This mirrors -/// the single-node path (`dispatch::array::aggregate`) exactly — including the -/// rule that the below-horizon signal is surfaced only for temporal reads — so -/// `decode_payload_to_json` produces byte-identical JSON on both topologies. +/// `{"truncated_before_horizon": bool}` summary row is appended, as on the +/// single-node path. pub(super) fn finalize_agg_partials( partials: &[ArrayAggPartial], reducer: &nodedb_physical::physical_plan::ArrayReducer, @@ -82,35 +90,30 @@ pub(super) fn finalize_agg_partials( truncated_before_horizon: bool, emit_horizon: bool, ) -> Result>, Error> { - use nodedb_physical::physical_plan::ArrayReducer; - - let finalize = |p: &ArrayAggPartial| -> Result { - if p.count == 0 { - return Ok(AggValue::Null); - } - let n = match reducer { - ArrayReducer::Sum => p.sum, - ArrayReducer::Count => return count_value(p.count), - ArrayReducer::Min => p.min, - ArrayReducer::Max => p.max, - ArrayReducer::Mean => return Ok(AggValue::Float(p.welford_mean)), - }; - number_value(n) - }; - + let engine = reducer.engine().map_err(|e| Error::BadRequest { + detail: format!("array aggregate: {e}"), + })?; let is_grouped = group_by_dim >= 0; - let mut rows: Vec> = partials - .iter() - .map(|p| { - let mut row = std::collections::BTreeMap::new(); - if is_grouped { - row.insert("group".to_string(), group_cell(&p.group_key)?); - } - row.insert("result".to_string(), finalize(p)?); - Ok(row) - }) - .collect::>()?; + let mut rows: Vec> = Vec::new(); + for p in partials { + let group = if is_grouped { + Some(group_cell(&p.group_key)?) + } else { + None + }; + let output = partial_result(p, engine) + .finalize() + .map_err(finalize_error)?; + rows.extend(output_rows(group, output)?); + } + // A scalar read over no shard partial still answers its one row. + if partials.is_empty() && !is_grouped { + let output = AggregateResult::Empty(engine) + .finalize() + .map_err(finalize_error)?; + rows.extend(output_rows(None, output)?); + } // Trailing summary row carrying the below-horizon signal — only for // temporal queries, matching the single-node path so both topologies emit @@ -127,20 +130,114 @@ pub(super) fn finalize_agg_partials( Ok(rows) } -fn out_of_range(detail: String) -> Error { - Error::NumericValueOutOfRange { - detail: format!("array aggregate: {detail}"), +/// The engine partial of `reducer` that partial `p` carries. +fn partial_result(p: &ArrayAggPartial, reducer: Reducer) -> AggregateResult { + let number = |n: ArrayAggNumber| match n.as_i128() { + Some(v) => AggNumber::Int(v), + None => AggNumber::Float(n.as_f64()), + }; + if p.count == 0 { + // A histogram keeps the bins of a group whose values all fell + // outside its range. + return match reducer { + Reducer::Histogram(spec) if !p.bins.is_empty() => AggregateResult::Histogram { + spec, + counts: p.bins.clone(), + }, + _ => AggregateResult::Empty(reducer), + }; + } + match reducer { + Reducer::Sum => AggregateResult::Sum { + value: number(p.sum), + count: p.count, + }, + Reducer::Count => AggregateResult::Count { count: p.count }, + Reducer::Min => AggregateResult::Min { + value: number(p.min), + count: p.count, + }, + Reducer::Max => AggregateResult::Max { + value: number(p.max), + count: p.count, + }, + Reducer::Mean => AggregateResult::Mean { + sum: number(p.sum), + count: p.count, + }, + Reducer::Median | Reducer::Percentile(_) | Reducer::Mode => AggregateResult::Dist { + reducer, + acc: DistAcc::from_dist(p.dist.clone()), + }, + Reducer::StdDevPop | Reducer::StdDevSamp | Reducer::VarPop | Reducer::VarSamp => { + AggregateResult::Moments { + reducer, + moments: Moments { + count: p.count, + mean: p.welford_mean, + m2: p.welford_m2, + }, + } + } + Reducer::Histogram(spec) => AggregateResult::Histogram { + spec, + counts: p.bins.clone(), + }, + } +} + +/// The rows of one finalized partial, after `group` when it groups. +fn output_rows( + group: Option, + output: AggOutput, +) -> Result>, Error> { + let with_group = |mut row: std::collections::BTreeMap| { + if let Some(g) = &group { + row.insert("group".to_string(), g.clone()); + } + row + }; + Ok(match output { + AggOutput::Scalar(v) => { + let value = match v { + Some(AggScalar::Int(i)) => AggValue::Int(i), + Some(AggScalar::Float(f)) => AggValue::Float(f), + None => AggValue::Null, + }; + vec![with_group(std::collections::BTreeMap::from([( + "result".to_string(), + value, + )]))] + } + AggOutput::Bins(bins) => bins + .into_iter() + .map(|bin| { + Ok(with_group(std::collections::BTreeMap::from([ + ("bin_lo".to_string(), AggValue::Float(bin.lo)), + ("bin_hi".to_string(), AggValue::Float(bin.hi)), + ("count".to_string(), count_value(bin.count)?), + ]))) + }) + .collect::>()?, + }) +} + +/// The statement error of a finalize refusal: `54000` past a distribution +/// budget, `22003` for a value out of range. +fn finalize_error(e: nodedb_array::ArrayError) -> Error { + match e { + nodedb_array::ArrayError::AggregateBudgetExceeded { .. } => { + Error::DataPlane(crate::bridge::envelope::ErrorCode::ProgramLimitExceeded { + detail: format!("array aggregate: {e}"), + }) + } + other => out_of_range(other.to_string()), } } -/// The final value of a partial's number: an exact integer, refused past -/// `i64`, or a float. -fn number_value(n: ArrayAggNumber) -> Result { - match n.as_i128() { - Some(v) => i64::try_from(v) - .map(AggValue::Int) - .map_err(|_| out_of_range(format!("value {v} is out of range for bigint"))), - None => Ok(AggValue::Float(n.as_f64())), +fn out_of_range(detail: String) -> Error { + Error::NumericValueOutOfRange { + detail: format!("array aggregate: {detail}"), } } @@ -374,6 +471,85 @@ mod tests { )); } + /// Exact median, mode, variance and histogram finalize from merged shard + /// partials, and a distribution past its budget refuses with `54000`. + #[test] + fn new_reducers_finalize_from_merged_partials() { + use nodedb_physical::physical_plan::ArrayReducer; + use nodedb_types::array_agg::{IntRun, ValueDist}; + let dist = |runs: &[(i64, u64)]| ArrayAggPartial { + count: runs.iter().map(|r| r.1).sum(), + dist: ValueDist::Ints( + runs.iter() + .map(|&(value, count)| IntRun { value, count }) + .collect(), + ), + ..ArrayAggPartial::empty(ArrayAggGroupKey::Scalar) + }; + let mut merged = dist(&[(1, 1), (4, 2)]); + merged.merge(&dist(&[(2, 1), (4, 1)])); + let result = |reducer: ArrayReducer, p: &ArrayAggPartial| { + let rows = finalize_agg_partials(std::slice::from_ref(p), &reducer, -1, false, false) + .expect("finalize"); + match rows[0].get("result") { + Some(AggValue::Float(v)) => *v, + Some(AggValue::Int(v)) => *v as f64, + _ => f64::NAN, + } + }; + // Values 1, 2, 4, 4, 4. + assert_eq!(result(ArrayReducer::Median, &merged), 4.0); + assert_eq!(result(ArrayReducer::Mode, &merged), 4.0); + assert_eq!(result(ArrayReducer::Percentile { p: 0.25 }, &merged), 2.0); + + let mut a = ArrayAggPartial { + count: 2, + welford_mean: 3.0, + welford_m2: 2.0, + ..ArrayAggPartial::empty(ArrayAggGroupKey::Scalar) + }; + a.merge(&ArrayAggPartial { + count: 2, + welford_mean: 7.0, + welford_m2: 2.0, + ..ArrayAggPartial::empty(ArrayAggGroupKey::Scalar) + }); + // Values 2, 4, 6, 8: population variance 5. + assert!((result(ArrayReducer::VarPop, &a) - 5.0).abs() < 1e-9); + + let hist = ArrayAggPartial { + count: 3, + bins: vec![1, 2], + ..ArrayAggPartial::empty(ArrayAggGroupKey::Int64(7)) + }; + let rows = finalize_agg_partials( + &[hist], + &ArrayReducer::Histogram { + bins: 2, + lo: 0.0, + hi: 1.0, + }, + 0, + false, + false, + ) + .expect("bins"); + assert_eq!(rows.len(), 2); + assert!(matches!(rows[1].get("count"), Some(AggValue::Int(2)))); + assert!(matches!(rows[1].get("bin_lo"), Some(AggValue::Float(v)) if *v == 0.5)); + assert!(matches!(rows[1].get("group"), Some(AggValue::Int(7)))); + + let over = ArrayAggPartial { + count: 1, + dist: ValueDist::OverBudget { distinct: 9 }, + ..ArrayAggPartial::empty(ArrayAggGroupKey::Scalar) + }; + assert!(matches!( + finalize_agg_partials(&[over], &ArrayReducer::Median, -1, false, false), + Err(Error::DataPlane(ErrorCode::ProgramLimitExceeded { .. })) + )); + } + /// A shard request that never went out answers `NoLeader` for that /// shard: nothing ran, so the refusal is definite. #[test] diff --git a/nodedb/src/control/cluster/array_executor/elementwise.rs b/nodedb/src/control/cluster/array_executor/elementwise.rs index 9cb22f8fd..6c6537514 100644 --- a/nodedb/src/control/cluster/array_executor/elementwise.rs +++ b/nodedb/src/control/cluster/array_executor/elementwise.rs @@ -40,7 +40,7 @@ impl DataPlaneArrayExecutor { attr_idx: req.attr_idx, cell_filter: None, shard_bucket: req.shard_bucket, - system_as_of: req.system_as_of, + system_time: req.system_time, valid_at_ms: req.valid_at_ms, }); let resp = self @@ -58,7 +58,8 @@ impl DataPlaneArrayExecutor { // A temporal read ends with the `{"truncated_before_horizon": bool}` // summary row. The coordinator ORs the flag and appends one summary // row for the whole fan-out. - let truncated_before_horizon = if req.system_as_of.is_some() || req.valid_at_ms.is_some() { + let truncated_before_horizon = if req.system_time.is_temporal() || req.valid_at_ms.is_some() + { let summary = rows.pop().ok_or_else(|| ClusterError::Codec { detail: "exec_elementwise: temporal answer has no summary row".into(), })?; diff --git a/nodedb/src/control/cluster/array_executor/executor.rs b/nodedb/src/control/cluster/array_executor/executor.rs index 20d4f8b48..5bf5df7ba 100644 --- a/nodedb/src/control/cluster/array_executor/executor.rs +++ b/nodedb/src/control/cluster/array_executor/executor.rs @@ -55,17 +55,19 @@ impl DataPlaneArrayExecutor { txn_id: Option, ) -> Result { // Array reads have no weaker consistency: a shard read confirms its - // group on this node before it reads. + // group on this node before it reads. A read pinned to a marked cut + // then waits until this node installed the cut + // (`read_cut::wait`), so every shard reads one cut. if !plan_is_write(&plan) { + let deadline = StatementDeadline::of_statement(&self.state); let groups = groups_of_vshards(&self.state, [local_vshard_id.as_u32()]) .map_err(|e| execution_error("array read confirmation", e))?; - confirm_linearizable_read( - &self.state, - &groups, - StatementDeadline::of_statement(&self.state), - ) - .await - .map_err(|e| execution_error("array read confirmation", e))?; + confirm_linearizable_read(&self.state, &groups, deadline) + .await + .map_err(|e| execution_error("array read confirmation", e))?; + crate::control::read_cut::await_read_cut(&self.state, &plan, deadline) + .await + .map_err(|e| execution_error("array read cut", e))?; } let request_id = self.state.next_request_id(); let request = local_request(request_id, array_id, local_vshard_id, plan, txn_id); diff --git a/nodedb/src/control/cluster/array_executor/read.rs b/nodedb/src/control/cluster/array_executor/read.rs index 91fc1c75e..b30b71a13 100644 --- a/nodedb/src/control/cluster/array_executor/read.rs +++ b/nodedb/src/control/cluster/array_executor/read.rs @@ -52,6 +52,7 @@ impl DataPlaneArrayExecutor { system_time: req.system_time, valid_at_ms: req.valid_at_ms, zone_msgpack: req.zone_msgpack.clone(), + physical: req.physical, }); let resp = self @@ -121,9 +122,10 @@ impl DataPlaneArrayExecutor { cell_filter, return_partial: true, shard_bucket: req.shard_bucket, - system_as_of: req.system_as_of, + system_time: req.system_time, valid_at_ms: req.valid_at_ms, region_msgpack: req.region_msgpack.clone(), + physical: req.physical, }); let resp = self diff --git a/nodedb/src/control/cluster/array_executor/refusal.rs b/nodedb/src/control/cluster/array_executor/refusal.rs index edd3a536a..b211bb343 100644 --- a/nodedb/src/control/cluster/array_executor/refusal.rs +++ b/nodedb/src/control/cluster/array_executor/refusal.rs @@ -112,6 +112,7 @@ pub(super) fn execution_error(context: &str, error: crate::Error) -> ClusterErro | crate::Error::DivisionByZero | crate::Error::DataException { .. } | crate::Error::MixedSrid { .. } + | crate::Error::UnknownSrid { .. } | crate::Error::NumericValueOutOfRange { .. } | crate::Error::InvalidTextRepresentation { .. } | crate::Error::DatatypeMismatch { .. } diff --git a/nodedb/src/control/cluster/calvin/scheduler/driver/core/routing.rs b/nodedb/src/control/cluster/calvin/scheduler/driver/core/routing.rs index 82305dd4a..63dae8533 100644 --- a/nodedb/src/control/cluster/calvin/scheduler/driver/core/routing.rs +++ b/nodedb/src/control/cluster/calvin/scheduler/driver/core/routing.rs @@ -317,7 +317,6 @@ fn graph_routing(op: &GraphOp) -> PlanRouting { | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodePresenceRead { .. } => PlanRouting::NotAWrite, } @@ -450,6 +449,8 @@ mod tests { properties: Vec::new(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }); let mut got = vshards_of(&plan); @@ -471,6 +472,8 @@ mod tests { dst_id: dst.to_owned(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }; // Two edges over the same endpoint pair: the union must dedupe. @@ -520,6 +523,8 @@ mod tests { properties: Vec::new(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(1), + valid_from_ms: None, + valid_until_ms: None, }); assert_eq!(vshards_of(&plan), vec![v]); } @@ -615,6 +620,7 @@ mod tests { collection: QualifiedCollection::new(DatabaseId::DEFAULT, "metrics"), filters: Vec::new(), updates: Vec::new(), + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }); assert_eq!(vshards_of(&update), vec![want]); @@ -622,6 +628,7 @@ mod tests { let delete = PhysicalPlan::Columnar(ColumnarOp::Delete { collection: QualifiedCollection::new(DatabaseId::DEFAULT, "metrics"), filters: Vec::new(), + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }); assert_eq!(vshards_of(&delete), vec![want]); diff --git a/nodedb/src/control/cluster/data_plane_error_wire.rs b/nodedb/src/control/cluster/data_plane_error_wire.rs index 52b3c9395..17439eee1 100644 --- a/nodedb/src/control/cluster/data_plane_error_wire.rs +++ b/nodedb/src/control/cluster/data_plane_error_wire.rs @@ -156,6 +156,7 @@ impl From for DataPlaneErrorCode { label, limit: to_wire_count(limit), }, + ErrorCode::ProgramLimitExceeded { detail } => Self::ProgramLimitExceeded { detail }, ErrorCode::InvalidTextRepresentation { detail } => { Self::InvalidTextRepresentation { detail } } @@ -327,6 +328,9 @@ impl From for ErrorCode { label, limit: from_wire_count(limit), }, + DataPlaneErrorCode::ProgramLimitExceeded { detail } => { + Self::ProgramLimitExceeded { detail } + } DataPlaneErrorCode::InvalidTextRepresentation { detail } => { Self::InvalidTextRepresentation { detail } } diff --git a/nodedb/src/control/cluster/execution_error_wire.rs b/nodedb/src/control/cluster/execution_error_wire.rs index e6e53b353..d561e1a41 100644 --- a/nodedb/src/control/cluster/execution_error_wire.rs +++ b/nodedb/src/control/cluster/execution_error_wire.rs @@ -127,6 +127,7 @@ pub(crate) fn execution_error_to_typed(err: crate::Error) -> TypedClusterError { | crate::Error::DivisionByZero | crate::Error::DataException { .. } | crate::Error::MixedSrid { .. } + | crate::Error::UnknownSrid { .. } | crate::Error::NumericValueOutOfRange { .. } | crate::Error::InvalidLimitValue { .. } | crate::Error::RetryableLeaderChange { .. } diff --git a/nodedb/src/control/cluster/metadata_applier/audit_describe.rs b/nodedb/src/control/cluster/metadata_applier/audit_describe.rs index f2967c69f..15cf25c2b 100644 --- a/nodedb/src/control/cluster/metadata_applier/audit_describe.rs +++ b/nodedb/src/control/cluster/metadata_applier/audit_describe.rs @@ -204,6 +204,16 @@ pub(super) fn describe_entry(e: &catalog_entry::CatalogEntry) -> (String, u64, S 0, String::new(), ), + E::PutSpatialRefSys(def) => (format!("spatial_ref_sys:{}", def.srid), 0, String::new()), + E::DropSpatialRefSys { srid } => (format!("spatial_ref_sys:{srid}"), 0, String::new()), + E::PutCredential(row) => ( + format!("credential:{}:{}", row.tenant_id, row.name), + 0, + row.kind.type_name().to_string(), + ), + E::DropCredential { tenant_id, name } => { + (format!("credential:{tenant_id}:{name}"), 0, String::new()) + } E::CommitConsumerOffsets(c) => ( format!( "consumer_group:{}:{}:{}:{}", diff --git a/nodedb/src/control/cluster/metadata_applier/pending_ddl.rs b/nodedb/src/control/cluster/metadata_applier/pending_ddl.rs index acc8563f9..f850f4fe8 100644 --- a/nodedb/src/control/cluster/metadata_applier/pending_ddl.rs +++ b/nodedb/src/control/cluster/metadata_applier/pending_ddl.rs @@ -154,7 +154,7 @@ impl MetadataCommitApplier { catalog, teardown, shared.wal.next_lsn().as_u64(), - crate::control::lease::wall_now_ns(), + nodedb_types::wall_now_ns(), )?; // A same-name CREATE waits on the pending-reclaim path's hold until // the teardown finishes. A re-delivered cancel finds it already held. diff --git a/nodedb/src/control/cluster/metadata_applier/wedge.rs b/nodedb/src/control/cluster/metadata_applier/wedge.rs index 6b7a6c1e5..9621a9c27 100644 --- a/nodedb/src/control/cluster/metadata_applier/wedge.rs +++ b/nodedb/src/control/cluster/metadata_applier/wedge.rs @@ -121,6 +121,7 @@ pub fn classify(error: &crate::Error) -> ApplyFailureClass { | crate::Error::DivisionByZero | crate::Error::DataException { .. } | crate::Error::MixedSrid { .. } + | crate::Error::UnknownSrid { .. } | crate::Error::NumericValueOutOfRange { .. } | crate::Error::InvalidTextRepresentation { .. } | crate::Error::DatatypeMismatch { .. } diff --git a/nodedb/src/control/cluster/metadata_image/reconcile.rs b/nodedb/src/control/cluster/metadata_image/reconcile.rs index d1c6794f7..6087708c8 100644 --- a/nodedb/src/control/cluster/metadata_image/reconcile.rs +++ b/nodedb/src/control/cluster/metadata_image/reconcile.rs @@ -19,6 +19,8 @@ //! aggregates are registered, removed ones unregistered. //! - `PutSynonymGroup` / `DeleteSynonymGroup`: every group is installed, //! removed ones deleted. +//! - `PutSpatialRefSys` / `DropSpatialRefSys`: the catalog's user-defined +//! CRS set is sent to every core. //! - `DeleteMaterializedView`: a view target is a collection, reclaimed by //! the collection rule. //! - `DeleteTopicWithConsumerGroups`: a removed topic's node-local messages @@ -34,8 +36,8 @@ use std::sync::Arc; use crate::control::array_catalog::ArrayCatalogEntry; use crate::control::catalog_entry::post_apply::{ ContinuousAggregateRegisterFailure, array, clear_before_recreate, compact_async, - drop_array_on_every_core, install_synonym_group, install_vector_index_params, - open_array_on_every_core, reclaim_collection_storage, + drop_array_on_every_core, install_custom_crs_set, install_synonym_group, + install_vector_index_params, open_array_on_every_core, reclaim_collection_storage, register_continuous_aggregate_on_every_core, remove_synonym_group, remove_vector_index_params, unregister_continuous_aggregate, }; @@ -57,6 +59,8 @@ pub(super) async fn reconcile_data_plane( reconcile_vector_params(shared, before, after).await?; reconcile_continuous_aggregates(shared, before, after).await?; reconcile_synonym_groups(shared, before, after).await?; + // The set is whole and small, so every install sends it. + install_custom_crs_set(shared, "image").await?; reconcile_event_buffers(shared, before, after)?; invalidate_plans(shared, before, after); Ok(()) diff --git a/nodedb/src/control/cluster/metadata_image/reload.rs b/nodedb/src/control/cluster/metadata_image/reload.rs index a5a435969..7ba3a4910 100644 --- a/nodedb/src/control/cluster/metadata_image/reload.rs +++ b/nodedb/src/control/cluster/metadata_image/reload.rs @@ -67,6 +67,7 @@ pub(super) async fn reload_registries( })?; shared.synonym_registry.reload_from_catalog(catalog)?; shared.custom_type_registry.reload_from_catalog(catalog)?; + catalog.reload_custom_crs_set()?; shared.block_cache.clear(); // Event Plane definitions. diff --git a/nodedb/src/control/cluster/mod.rs b/nodedb/src/control/cluster/mod.rs index 5dcf47912..58b512b32 100644 --- a/nodedb/src/control/cluster/mod.rs +++ b/nodedb/src/control/cluster/mod.rs @@ -46,6 +46,7 @@ pub mod start_raft_helpers; #[cfg(test)] pub(crate) mod test_one_node; pub mod tls; +pub mod vshard_departure; pub mod vshard_envelope_handler; pub mod warm_peers; diff --git a/nodedb/src/control/cluster/snapshot_applier.rs b/nodedb/src/control/cluster/snapshot_applier.rs index d3df6a916..dcffaf91b 100644 --- a/nodedb/src/control/cluster/snapshot_applier.rs +++ b/nodedb/src/control/cluster/snapshot_applier.rs @@ -17,7 +17,10 @@ //! runs before the snapshot's rows of that incarnation land, never after. //! The wait is bounded: a group 0 snapshot this node still needs can queue //! behind this install, so a lagging node refuses the install and the -//! leader resends it; +//! leader resends it. It then holds the departure fence on the group's +//! vShards until it settles: a running departure purge of any of them +//! ends first, and no purge of them starts meanwhile +//! ([`crate::control::cluster::vshard_departure::fence`]); //! 1. splits the snapshot into one share per local core, routed the way live //! writes route ([`crate::control::cluster::snapshot_install::split`]); //! 2. appends and fsyncs the WAL install barrier, so restart replay never @@ -149,6 +152,13 @@ impl DataPlaneSnapshotApplier { .await?; let group_vshards = self.group_vshards(group_id)?; + // Held to the end: a departure purge removes no row this install + // writes. + let _fenced = self + .shared + .departure_fence + .begin_install(&group_vshards) + .await; let cores = { let dispatcher = self .shared diff --git a/nodedb/src/control/cluster/snapshot_builder.rs b/nodedb/src/control/cluster/snapshot_builder.rs index 1f4771afd..94efee172 100644 --- a/nodedb/src/control/cluster/snapshot_builder.rs +++ b/nodedb/src/control/cluster/snapshot_builder.rs @@ -35,7 +35,9 @@ use crate::control::backup::snapshot_keys::{ homes_of_stored, }; use crate::control::cluster::calvin_snapshot::{await_calvin_cut, capture_calvin_cut}; -use crate::control::cluster::snapshot_builder_filter::{bind_in_group, push_group_edges}; +use crate::control::cluster::snapshot_builder_filter::{ + bind_in_group, push_group_edges, push_group_node_labels, +}; use crate::control::cluster::snapshot_cut::settled_cut; use crate::control::security::catalog::SystemCatalog; use crate::control::state::SharedState; @@ -266,6 +268,12 @@ impl DataPlaneSnapshotBuilder { .into_iter() .map(|(collection, cut)| (database_id.as_u64(), tenant_id, collection, cut)), ); + push_group_node_labels( + snap.node_labels, + snap.node_label_versions, + group_vshards, + merged, + ); // CRDT: one Loro doc per (tenant, collection). Each entry carries its // single collection; include it iff that collection's vshard belongs to diff --git a/nodedb/src/control/cluster/snapshot_builder_filter.rs b/nodedb/src/control/cluster/snapshot_builder_filter.rs index 03226352d..5a885f848 100644 --- a/nodedb/src/control/cluster/snapshot_builder_filter.rs +++ b/nodedb/src/control/cluster/snapshot_builder_filter.rs @@ -1,7 +1,8 @@ // SPDX-License-Identifier: BUSL-1.1 -//! The record filters a data-group snapshot build applies: which edges and -//! which PK→surrogate binds have a home in the target group. +//! The record filters a data-group snapshot build applies: which edges, +//! which node labels and which PK→surrogate binds have a home in the target +//! group. use std::collections::HashSet; @@ -9,7 +10,9 @@ use nodedb_types::id::DatabaseId; use crate::Error; use crate::control::backup::snapshot_keys::{StoredRecord, homes_of_stored}; -use crate::types::{HomedRecord, RecordHomes}; +use crate::types::{ + HomedRecord, NodeLabelVersionEntry, NodeLabelsEntry, RecordHomes, TenantDataSnapshot, +}; /// The number of edge-key characters an unparseable-key error carries. pub(crate) const EDGE_KEY_PREFIX_CHARS: usize = 32; @@ -29,6 +32,28 @@ pub(crate) fn bind_in_group( .intersects(group_vshards) } +/// Push the current labels and the label versions of every node whose +/// labels home on a vShard of `group_vshards` onto `merged`. +pub(crate) fn push_group_node_labels( + labels: Vec, + versions: Vec, + group_vshards: &HashSet, + merged: &mut TenantDataSnapshot, +) { + let in_group = + |node: &str| RecordHomes::of(HomedRecord::NodeLabels { node }).owned_by(group_vshards); + merged.node_labels.extend( + labels + .into_iter() + .filter(|(_, _, node, _)| in_group(node.as_str())), + ); + merged.node_label_versions.extend( + versions + .into_iter() + .filter(|(_, _, node, _, _)| in_group(node.as_str())), + ); +} + /// Push every entry of `edges`, keyed by an edge version's key, with an /// endpoint home in `group_vshards` onto `out`, tagged with its database and /// tenant. diff --git a/nodedb/src/control/cluster/snapshot_install/split.rs b/nodedb/src/control/cluster/snapshot_install/split.rs index 8a0488705..16ae1335d 100644 --- a/nodedb/src/control/cluster/snapshot_install/split.rs +++ b/nodedb/src/control/cluster/snapshot_install/split.rs @@ -11,7 +11,9 @@ //! timeseries, CRDT): the vShard of the collection's `(database, bare name)` //! key, the same key [`vshard_of_stored`] resolves; //! - graph edges: dual-homed on `VShardId::from_key(src)` and -//! `VShardId::from_key(dst)`, the homes an `EdgePut` is written to. +//! `VShardId::from_key(dst)`, the homes an `EdgePut` is written to; +//! - node labels: homed on `VShardId::from_key(node)`, the home a label +//! write is written to. //! //! The vShard → core step is the dispatcher's own [`VShardRouter`]. @@ -152,6 +154,12 @@ impl Splitter<'_> { Ok(()) } + /// The core a node's labels are stored on: its home vShard's. + fn node_core(&self, node: &str) -> Result { + self.cores + .core_of(self.group_id, VShardId::from_key(node.as_bytes()).as_u32()) + } + /// The cores an edge is stored on: the homes of its two endpoints. fn edge_cores( &self, @@ -201,6 +209,8 @@ pub fn split_by_core( edge_applied, tenant_edge_cuts, tenant_edge_applied, + node_labels, + node_label_versions, group_write_marks, group_proposal_keys, group_proposal_keys_complete_from, @@ -332,6 +342,16 @@ pub fn split_by_core( .tenant_edge_applied .push((db, tid, key, applied)); } + // A node's labels go to the core of its home vShard, where every label + // write of the node routes. + for entry in node_labels { + let core = s.node_core(&entry.2)?; + s.per_core[core].node_labels.push(entry); + } + for entry in node_label_versions { + let core = s.node_core(&entry.2)?; + s.per_core[core].node_label_versions.push(entry); + } // A cut covers every edge of its collection, on whichever core it lives. for share in &mut s.per_core { share.edge_cuts.extend(edge_cuts.iter().cloned()); @@ -476,6 +496,22 @@ mod tests { } } + #[test] + fn a_nodes_labels_land_on_its_home_core() { + let node = "a7"; + let snap = TenantDataSnapshot { + node_labels: vec![(0, 1, node.into(), vec!["L".into()])], + node_label_versions: vec![(0, 1, node.into(), 5, vec!["L".into()])], + ..Default::default() + }; + let shares = split_by_core(GROUP, snap, &cores()).unwrap(); + for (core, share) in shares.per_core.iter().enumerate() { + let expected = usize::from(core == endpoint_core(node)); + assert_eq!(share.node_labels.len(), expected, "core {core}"); + assert_eq!(share.node_label_versions.len(), expected, "core {core}"); + } + } + #[test] fn control_plane_sections_stay_off_the_cores() { let snap = TenantDataSnapshot { diff --git a/nodedb/src/control/cluster/start_raft_helpers.rs b/nodedb/src/control/cluster/start_raft_helpers.rs index a4888f1e8..f5ce5c6ac 100644 --- a/nodedb/src/control/cluster/start_raft_helpers.rs +++ b/nodedb/src/control/cluster/start_raft_helpers.rs @@ -404,6 +404,14 @@ pub(super) fn spawn_vshard_schedulers( scheduler_config, })?; + // The data of vShards that left this node goes once their new owners + // serve them. + crate::control::cluster::vshard_departure::spawn_departure_purge( + shared, + node_id, + Arc::clone(&raft_loop_handle), + ); + // Background reconcile: pick up vShards whose membership lands after startup // (joiner admission) or shifts later (rebalancing). The routing table has no // change-notification, so a short fixed-interval reconcile is the simplest diff --git a/nodedb/src/control/cluster/vshard_departure/fence.rs b/nodedb/src/control/cluster/vshard_departure/fence.rs new file mode 100644 index 000000000..29d6f2fbe --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/fence.rs @@ -0,0 +1,253 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The per-vShard fence between a departure purge and a data-group install. +//! +//! A purge removes this node's data of every vShard outside the residency it +//! read: rows homed on a departed vShard, and edges with no endpoint home in +//! that residency. An install writes the data of its group's vShards. On a +//! vShard both touch, the install lands after the purge: +//! +//! - A purge starts only while no install of a vShard outside its residency +//! runs. It holds the fence until every core answered. +//! - An install of a vShard outside the running purge's residency waits for +//! the purge to end. An install of a resident vShard never waits: the +//! purge keeps every record a resident vShard homes. +//! +//! The purge takes the fence under the `MultiRaft` lock, at the residency +//! read. A group installs here only once it mounts, so a group that mounts +//! after that read installs after the purge. +//! +//! The fence lives in memory only. A crash ends the purge and the install +//! together. Boot recovery completes an interrupted install before the first +//! departure pass runs, and that pass hosts the vShards of every mounted +//! group again, so it purges none of them. + +use std::collections::{BTreeSet, HashMap, HashSet}; +use std::sync::{Mutex, MutexGuard}; + +use tokio::sync::Notify; + +/// The fence one node's purges and installs share. +#[derive(Debug, Default)] +pub struct DepartureFence { + state: Mutex, + /// Woken when a purge ends. + purge_ended: Notify, +} + +#[derive(Debug, Default)] +struct FenceState { + /// The residency the running purge read. `None` while no purge runs. + purge: Option>, + /// The installs running for each vShard. + installing: HashMap, +} + +impl FenceState { + /// Whether an install of `vshards` conflicts with the running purge. + fn purge_blocks(&self, vshards: &HashSet) -> bool { + self.purge + .as_ref() + .is_some_and(|resident| vshards.iter().any(|v| !resident.contains(v))) + } +} + +/// The running purge's hold on the fence. Dropping it ends the purge. +#[derive(Debug)] +#[must_use = "the purge holds the fence only while its guard lives"] +pub struct PurgeGuard<'a> { + fence: &'a DepartureFence, +} + +/// A running install's hold on the fence. Dropping it ends the install. +#[derive(Debug)] +#[must_use = "the install holds the fence only while its guard lives"] +pub struct InstallGuard<'a> { + fence: &'a DepartureFence, + vshards: Vec, +} + +impl DepartureFence { + fn state(&self) -> MutexGuard<'_, FenceState> { + self.state.lock().unwrap_or_else(|p| p.into_inner()) + } + + /// Start a purge of every vShard outside `resident`. `None` while an + /// install of such a vShard runs, or while another purge runs. + pub fn try_purge(&self, resident: &BTreeSet) -> Option> { + let mut state = self.state(); + let installing_outside = state + .installing + .keys() + .any(|vshard_id| !resident.contains(vshard_id)); + if state.purge.is_some() || installing_outside { + return None; + } + state.purge = Some(resident.clone()); + Some(PurgeGuard { fence: self }) + } + + /// Start an install of `vshards`, once no running purge removes data of + /// any of them. + pub async fn begin_install(&self, vshards: &HashSet) -> InstallGuard<'_> { + loop { + let ended = self.purge_ended.notified(); + tokio::pin!(ended); + // Registered before the check, so a purge that ends after it + // wakes this wait. + ended.as_mut().enable(); + { + let mut state = self.state(); + if !state.purge_blocks(vshards) { + for &vshard_id in vshards { + *state.installing.entry(vshard_id).or_default() += 1; + } + return InstallGuard { + fence: self, + vshards: vshards.iter().copied().collect(), + }; + } + } + ended.await; + } + } +} + +impl Drop for PurgeGuard<'_> { + fn drop(&mut self) { + self.fence.state().purge = None; + self.fence.purge_ended.notify_waiters(); + } +} + +impl Drop for InstallGuard<'_> { + fn drop(&mut self) { + let mut state = self.fence.state(); + for vshard_id in &self.vshards { + if let Some(count) = state.installing.get_mut(vshard_id) { + *count -= 1; + if *count == 0 { + state.installing.remove(vshard_id); + } + } + } + } +} + +#[cfg(test)] +mod tests { + use std::sync::{Arc, RwLock}; + use std::time::Duration; + + use nodedb_cluster::RoutingTable; + + use super::*; + use crate::bridge::dispatch::Dispatcher; + use crate::control::cluster::snapshot_applier::DataPlaneSnapshotApplier; + use crate::control::state::SharedState; + use crate::types::TenantDataSnapshot; + use crate::wal::WalManager; + + #[test] + fn a_purge_and_an_install_of_a_vshard_outside_its_residency_exclude_each_other() { + let fence = DepartureFence::default(); + let resident = BTreeSet::from([1, 2]); + let install = futures::executor::block_on(fence.begin_install(&HashSet::from([3]))); + assert!( + fence.try_purge(&resident).is_none(), + "no purge starts while an install of a vShard it purges runs" + ); + drop(install); + let purge = fence.try_purge(&resident).expect("the install ended"); + assert!(fence.try_purge(&resident).is_none(), "one purge at a time"); + let resident_install = + futures::executor::block_on(fence.begin_install(&HashSet::from([1, 2]))); + drop(resident_install); + drop(purge); + assert!(fence.state().installing.is_empty()); + assert!(fence.state().purge.is_none()); + } + + /// Wait up to five seconds for core 0 to receive a request. + async fn core_receives(sides: &mut [crate::bridge::dispatch::CoreChannelDataSide]) -> bool { + let deadline = std::time::Instant::now() + Duration::from_secs(5); + loop { + if sides[0].request_rx.try_pop().is_ok() { + return true; + } + if std::time::Instant::now() > deadline { + return false; + } + tokio::time::sleep(Duration::from_millis(20)).await; + } + } + + /// A group mounts here again while a purge of its vShards runs. Its + /// snapshot install reaches no core until the purge ends, and a purge + /// that finds the install running does not start. + #[tokio::test(flavor = "multi_thread")] + async fn a_rehost_install_waits_for_an_in_flight_purge() { + let dir = tempfile::tempdir().expect("tempdir"); + let wal = Arc::new( + WalManager::open_for_testing(&dir.path().join("fence.wal")).expect("test WAL"), + ); + let (dispatcher, mut sides) = Dispatcher::new(1, 64); + let mut shared = SharedState::new(dispatcher, wal).expect("shared state"); + let routing = RoutingTable::uniform(2, &[1], 1); + // `group_ids` lists metadata group 0 too, which homes no vShard. + let groups: Vec = routing + .group_ids() + .into_iter() + .filter(|&group_id| group_id != nodedb_cluster::METADATA_GROUP_ID) + .collect(); + let (rehosted, kept) = (groups[0], groups[1]); + let resident: BTreeSet = routing.vshards_for_group(kept).into_iter().collect(); + assert!( + !routing.vshards_for_group(rehosted).is_empty(), + "the re-hosted group homes vShards the purge covers" + ); + Arc::get_mut(&mut shared) + .expect("unshared state") + .cluster_routing = Some(Arc::new(RwLock::new(routing))); + + let snapshot = TenantDataSnapshot { + group_calvin: Some(crate::types::GroupCalvinCut::default()), + ..Default::default() + }; + let bytes = zerompk::to_msgpack_vec(&snapshot).expect("encode snapshot"); + let applier = Arc::new(DataPlaneSnapshotApplier::new(Arc::clone(&shared))); + + // The departure pass read a residency without the group, and purges. + let purge = shared + .departure_fence + .try_purge(&resident) + .expect("no install runs"); + let installing = { + let applier = Arc::clone(&applier); + let bytes = bytes.clone(); + tokio::spawn(async move { applier.install(rehosted, &bytes).await }) + }; + tokio::time::sleep(Duration::from_millis(300)).await; + assert!( + sides[0].request_rx.try_pop().is_err(), + "no core receives the install while the purge runs" + ); + + drop(purge); + assert!( + core_receives(&mut sides).await, + "the install reaches the core once the purge ended" + ); + assert!( + shared.departure_fence.try_purge(&resident).is_none(), + "no purge starts while the install of a vShard it purges runs" + ); + + installing.abort(); + let _ = installing.await; + assert!( + shared.departure_fence.try_purge(&resident).is_some(), + "a purge starts once the install ended" + ); + } +} diff --git a/nodedb/src/control/cluster/vshard_departure/ledger.rs b/nodedb/src/control/cluster/vshard_departure/ledger.rs new file mode 100644 index 000000000..1492fcbbb --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/ledger.rs @@ -0,0 +1,98 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Bring the residency rows in line with the vShards resident here. +//! +//! - A resident vShard with no row gets a hosted row. +//! - A resident vShard with a departed row is hosted again: its pending +//! purge is cancelled. Its group owes a snapshot install here since it +//! left, so the data it lost comes back from that install. +//! - A hosted row whose vShard is not resident departs: its purge is owed. + +use std::collections::BTreeMap; + +use crate::control::security::catalog::vshard_residency::{ResidencyChange, VShardResidency}; + +use super::resident::ResidencyView; + +/// The row changes one reconcile makes. +#[derive(Debug, Default, Clone, PartialEq, Eq)] +pub struct LedgerPlan { + pub changes: Vec, + /// vShards whose hosted row departs. + pub departed: Vec, + /// vShards whose departed row is hosted again. + pub rehosted: Vec, +} + +/// The changes that bring `rows` in line with `residency`. +pub fn reconcile(rows: &BTreeMap, residency: &ResidencyView) -> LedgerPlan { + let mut plan = LedgerPlan::default(); + for &vshard_id in &residency.resident { + match rows.get(&vshard_id) { + None => plan + .changes + .push((vshard_id, Some(VShardResidency::HOSTED))), + Some(row) if row.departed => { + plan.changes + .push((vshard_id, Some(VShardResidency::HOSTED))); + plan.rehosted.push(vshard_id); + } + Some(_) => {} + } + } + for (&vshard_id, row) in rows { + if !row.departed && !residency.holds(vshard_id) { + plan.changes + .push((vshard_id, Some(VShardResidency::DEPARTED))); + plan.departed.push(vshard_id); + } + } + plan +} + +#[cfg(test)] +mod tests { + use std::collections::BTreeSet; + + use super::*; + + fn residency(resident: &[u32]) -> ResidencyView { + ResidencyView { + resident: resident.iter().copied().collect::>(), + group_of: BTreeMap::new(), + } + } + + #[test] + fn a_hosted_vshard_that_left_departs_and_a_returning_one_is_hosted() { + let purged = VShardResidency { + departed: true, + barrier_lsn: 7, + purged: true, + }; + let rows = BTreeMap::from([ + (1, VShardResidency::HOSTED), + (2, VShardResidency::HOSTED), + (3, purged), + ]); + let plan = reconcile(&rows, &residency(&[1, 3, 4])); + assert_eq!(plan.departed, vec![2]); + assert_eq!(plan.rehosted, vec![3]); + let mut changes = plan.changes.clone(); + changes.sort_by_key(|(vshard_id, _)| *vshard_id); + assert_eq!( + changes, + vec![ + (2, Some(VShardResidency::DEPARTED)), + (3, Some(VShardResidency::HOSTED)), + (4, Some(VShardResidency::HOSTED)), + ] + ); + } + + #[test] + fn a_settled_ledger_changes_nothing() { + let rows = BTreeMap::from([(1, VShardResidency::HOSTED), (2, VShardResidency::DEPARTED)]); + assert_eq!(reconcile(&rows, &residency(&[1])), LedgerPlan::default()); + } +} diff --git a/nodedb/src/control/cluster/vshard_departure/mod.rs b/nodedb/src/control/cluster/vshard_departure/mod.rs new file mode 100644 index 000000000..7043cd9f8 --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/mod.rs @@ -0,0 +1,16 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Purge the data of vShards that left this node, once their new owners +//! serve them. + +pub mod fence; +pub mod ledger; +pub mod pass; +pub mod purge; +pub mod resident; +pub mod task; + +pub use fence::{DepartureFence, InstallGuard, PurgeGuard}; +pub use pass::DeparturePass; +pub use resident::ResidencyView; +pub use task::spawn_departure_purge; diff --git a/nodedb/src/control/cluster/vshard_departure/pass.rs b/nodedb/src/control/cluster/vshard_departure/pass.rs new file mode 100644 index 000000000..c05a2da15 --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/pass.rs @@ -0,0 +1,297 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! One departure pass: record vShards that left, purge their data here, and +//! drop the rows of purges no replay can undo. +//! +//! 1. Ledger, under the `MultiRaft` lock. A vShard that left gets a +//! departed row, and its data group owes a snapshot install here, both +//! durable before any purge. A remount of the group resumes its old log, +//! whose applied index the purged data no longer matches: the debt makes +//! the remount catch up by snapshot instead. A group that mounts +//! meanwhile keeps its vShards resident, so none of them departs. +//! 2. After a boot, every purged row whose barrier the WAL still holds +//! records below is owed again: replay re-applied edge, label and array +//! records of the purged vShards. +//! 3. Purge, under the departure fence ([`super::fence`]). The fence, and +//! the snapshot debt of the purged vShards' groups, are taken under the +//! `MultiRaft` lock at the residency read. A group that mounts later +//! owes a snapshot, and its install waits for the purge to end, so the +//! purge removes no row an install wrote. A pass that finds such an +//! install running purges nothing. Then the barrier is fsynced and every +//! core purges. A vShard that became resident meanwhile is hosted again. +//! 4. Settle. A purged row goes once the WAL holds no record below its +//! barrier. +//! +//! A step that fails records a faultbox capture and leaves its rows as they +//! were. The next pass, or the first pass after a restart, retries it. No +//! pass runs before boot recovery sets `SharedState::data_groups_replayed`: +//! until every mounted group applied its committed log, the routing table +//! can omit a group this node replicates. + +use std::collections::{BTreeMap, BTreeSet, HashSet}; +use std::sync::Mutex; + +use nodedb_cluster::multi_raft::MultiRaft; + +use crate::control::security::catalog::vshard_residency::{ResidencyChange, VShardResidency}; +use crate::control::state::SharedState; + +use super::ledger; +use super::purge::{ + append_purge_barrier, departed_collections, purge_on_every_core, wal_oldest_lsn, +}; +use super::resident::ResidencyView; + +/// The departure pass state of this process. +#[derive(Debug, Default)] +pub struct DeparturePass { + /// Whether this process ran step 2 since it booted. + boot_checked: bool, +} + +impl DeparturePass { + /// Run one pass on node `node_id`, whose groups `multi_raft` mounts. + pub async fn run(&mut self, shared: &SharedState, node_id: u64, multi_raft: &Mutex) { + if !shared + .data_groups_replayed + .load(std::sync::atomic::Ordering::Acquire) + { + return; + } + if let Err((step, vshards, error)) = record_departures(shared, node_id, multi_raft) { + report(step, &vshards, &error); + return; + } + if !self.boot_checked { + match reopen_replayed(shared) { + Ok(()) => self.boot_checked = true, + Err(error) => { + report("settle", &[], &error); + return; + } + } + } + if let Err((step, vshards, error)) = purge_pending(shared, node_id, multi_raft).await { + report(step, &vshards, &error); + return; + } + if let Err(error) = settle(shared) { + report("settle", &[], &error); + } + } +} + +/// A failed step: its name, the vShards it ran for, and its error. +type StepError = (&'static str, Vec, Box); + +fn report(step: &'static str, vshards: &[u32], error: &crate::Error) { + tracing::warn!( + step, + ?vshards, + %error, + "vshard departure: a purge step failed; the next pass retries it" + ); + crate::diag::vshard_departure_purge_failed(step, vshards, error); +} + +/// The residency of this node now. +fn residency_now(node_id: u64, multi_raft: &MultiRaft) -> ResidencyView { + let mounted: HashSet = multi_raft.group_ids().into_iter().collect(); + let routing = multi_raft.routing(); + let routing = routing.read().unwrap_or_else(|p| p.into_inner()); + ResidencyView::of(node_id, &mounted, &routing) +} + +fn load_rows(shared: &SharedState) -> crate::Result> { + Ok(shared + .credentials + .catalog() + .load_vshard_residency()? + .into_iter() + .collect()) +} + +/// Step 1. The `MultiRaft` lock is held throughout, so no group mounts +/// between the residency read and the debt write. +fn record_departures( + shared: &SharedState, + node_id: u64, + multi_raft: &Mutex, +) -> Result<(), StepError> { + let catalog = shared.credentials.catalog(); + let multi_raft = multi_raft.lock().unwrap_or_else(|p| p.into_inner()); + let residency = residency_now(node_id, &multi_raft); + let rows = load_rows(shared).map_err(|e| ("ledger", Vec::new(), Box::new(e)))?; + let plan = ledger::reconcile(&rows, &residency); + if !plan.departed.is_empty() { + shared + .redo_chunks + .record_owed(catalog, &residency.groups_of(&plan.departed)) + .map_err(|e| ("snapshot_debt", plan.departed.clone(), Box::new(e)))?; + } + catalog + .apply_vshard_residency(&plan.changes) + .map_err(|e| ("ledger", plan.departed.clone(), Box::new(e)))?; + drop(multi_raft); + if !plan.departed.is_empty() { + tracing::info!( + node_id, + departed = ?plan.departed, + "vshard departure: vShards left this node; their data here is purged" + ); + } + if !plan.rehosted.is_empty() { + tracing::info!( + node_id, + rehosted = ?plan.rehosted, + "vshard departure: vShards are hosted here again; their pending purge is cancelled" + ); + } + Ok(()) +} + +/// Step 2: owe again every purge whose rows a boot replay re-applied. +fn reopen_replayed(shared: &SharedState) -> crate::Result<()> { + let oldest = wal_oldest_lsn(&shared.wal)?; + let changes: Vec = load_rows(shared)? + .into_iter() + .filter(|(_, row)| row.departed && row.purged && row.barrier_lsn > oldest) + .map(|(vshard_id, row)| { + ( + vshard_id, + Some(VShardResidency { + purged: false, + ..row + }), + ) + }) + .collect(); + shared + .credentials + .catalog() + .apply_vshard_residency(&changes) +} + +/// Step 3. +async fn purge_pending( + shared: &SharedState, + node_id: u64, + multi_raft: &Mutex, +) -> Result<(), StepError> { + let catalog = shared.credentials.catalog(); + let rows = load_rows(shared).map_err(|e| ("ledger", Vec::new(), Box::new(e)))?; + let pending: BTreeMap = rows + .into_iter() + .filter(|(_, row)| row.departed && !row.purged) + .collect(); + if pending.is_empty() { + return Ok(()); + } + let departed: BTreeSet = pending.keys().copied().collect(); + let vshards: Vec = departed.iter().copied().collect(); + let (resident, fence) = { + let multi_raft = multi_raft.lock().unwrap_or_else(|p| p.into_inner()); + let residency = residency_now(node_id, &multi_raft); + // Step 1 hosted every resident vShard again, so none is pending + // here. One that became resident since stays out of the purge. + if departed.iter().any(|vshard_id| residency.holds(*vshard_id)) { + return Ok(()); + } + // An install of a vShard this purge removes runs: the next pass + // retries. + let Some(fence) = shared.departure_fence.try_purge(&residency.resident) else { + return Ok(()); + }; + // The purge leaves the groups' data here behind their logs. An + // install can settle the debt step 1 recorded, and the group can + // leave again, before the purge runs, so the debt is recorded again. + shared + .redo_chunks + .record_owed(catalog, &residency.groups_of(&vshards)) + .map_err(|e| ("snapshot_debt", vshards.clone(), Box::new(e)))?; + (residency.resident, fence) + }; + + let collections = departed_collections(catalog, &departed) + .map_err(|e| ("barrier", vshards.clone(), Box::new(e)))?; + let barriered: BTreeMap = + if pending.values().any(|row| row.barrier_lsn == 0) { + let barrier = append_purge_barrier(&shared.wal, &collections) + .map_err(|e| ("barrier", vshards.clone(), Box::new(e)))?; + let rows: BTreeMap = pending + .iter() + .map(|(&vshard_id, row)| { + let barrier_lsn = if row.barrier_lsn == 0 { + barrier + } else { + row.barrier_lsn + }; + ( + vshard_id, + VShardResidency { + barrier_lsn, + ..*row + }, + ) + }) + .collect(); + let changes: Vec = + rows.iter().map(|(&v, row)| (v, Some(*row))).collect(); + catalog + .apply_vshard_residency(&changes) + .map_err(|e| ("barrier", vshards.clone(), Box::new(e)))?; + rows + } else { + pending + }; + + let purged = purge_on_every_core(shared, &departed, &resident, &collections) + .await + .map_err(|e| ("purge", vshards.clone(), Box::new(e)))?; + // Every core answered: an install waiting on the fence can start. + drop(fence); + + // A vShard resident again is hosted. Its group owes the snapshot debt + // recorded above, which only an install after the purge settles. + let multi_raft = multi_raft.lock().unwrap_or_else(|p| p.into_inner()); + let after = residency_now(node_id, &multi_raft); + let changes: Vec = barriered + .iter() + .map(|(&vshard_id, row)| { + let row = if after.holds(vshard_id) { + VShardResidency::HOSTED + } else { + VShardResidency { + purged: true, + ..*row + } + }; + (vshard_id, Some(row)) + }) + .collect(); + catalog + .apply_vshard_residency(&changes) + .map_err(|e| ("settle", vshards.clone(), Box::new(e)))?; + drop(multi_raft); + tracing::info!( + node_id, + departed = ?vshards, + purged, + "vshard departure: every core purged the data of vShards this node left" + ); + Ok(()) +} + +/// Step 4. +fn settle(shared: &SharedState) -> crate::Result<()> { + let oldest = wal_oldest_lsn(&shared.wal)?; + let changes: Vec = load_rows(shared)? + .into_iter() + .filter(|(_, row)| row.departed && row.purged && row.barrier_lsn <= oldest) + .map(|(vshard_id, _)| (vshard_id, None)) + .collect(); + shared + .credentials + .catalog() + .apply_vshard_residency(&changes) +} diff --git a/nodedb/src/control/cluster/vshard_departure/purge.rs b/nodedb/src/control/cluster/vshard_departure/purge.rs new file mode 100644 index 000000000..5cdc718ec --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/purge.rs @@ -0,0 +1,206 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! One departure purge: the WAL barrier, then every core's purge. +//! +//! The purge removes rows the WAL can still hold records of. Replay +//! re-applies the redb-backed engines' records with no floor, so a pre-purge +//! record brings a purged row back at the next boot. The barrier is one +//! `CollectionTombstoned` record per purged collection, all naming the WAL +//! position before the purge, fsynced before any core purges: replay then +//! skips every record of those collections below it. Edge, label and array +//! records of other collections stay replayable, so a boot purges again +//! while the WAL still holds a record below the barrier (see +//! [`super::pass`]). + +use std::collections::BTreeSet; +use std::time::{Duration, Instant}; + +use nodedb_physical::physical_plan::{DepartedCollection, MetaOp, PhysicalPlan}; +use nodedb_types::id::{CollectionKey, QualifiedCollection}; + +use crate::control::security::catalog::SystemCatalog; +use crate::control::state::SharedState; +use crate::types::{DatabaseId, TenantId, TraceId}; +use crate::wal::WalManager; +use crate::wal::manager::NO_APPLY_KEY; + +/// How long every core gets to answer one purge. +const PURGE_DEADLINE: Duration = Duration::from_secs(120); + +/// The key of the removed-record count every core answers. +const PURGED_COUNT: &str = "purged"; + +/// One collection homed on a departed vShard. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct HomedCollection { + pub database_id: u64, + pub tenant_id: u64, + /// Bare catalog name. + pub name: String, +} + +/// Every active collection of the local catalog homed on `departed`. +pub fn departed_collections( + catalog: &SystemCatalog, + departed: &BTreeSet, +) -> crate::Result> { + if departed.is_empty() { + return Ok(Vec::new()); + } + Ok(catalog + .load_all_collections_across_databases()? + .into_iter() + .filter(|c| { + c.is_active + && departed.contains(&nodedb_cluster::routing::vshard_for_collection( + CollectionKey::from_bare(c.database_id, &c.name), + )) + }) + .map(|c| HomedCollection { + database_id: c.database_id.as_u64(), + tenant_id: c.tenant_id, + name: c.name, + }) + .collect()) +} + +/// The oldest WAL position this node's WAL still holds a record at or +/// above. +pub fn wal_oldest_lsn(wal: &WalManager) -> crate::Result { + let (segments, active_first) = wal.segments_with_active()?; + Ok(segments + .iter() + .map(|segment| segment.first_lsn) + .chain(std::iter::once(active_first)) + .min() + .unwrap_or(active_first)) +} + +/// Append and fsync the purge barrier for `collections`. Returns the WAL +/// position the barrier names: the next position at the time of the call, +/// above every record the purge removes the rows of. +pub fn append_purge_barrier( + wal: &WalManager, + collections: &[HomedCollection], +) -> crate::Result { + let barrier = wal.next_lsn().as_u64(); + let appender = wal.appender(NO_APPLY_KEY); + for collection in collections { + appender.append_collection_tombstone( + TenantId::new(collection.tenant_id), + DatabaseId::new(collection.database_id), + &collection.name, + barrier, + )?; + } + wal.sync()?; + Ok(barrier) +} + +/// Purge `departed` on every Data-Plane core of this node. Edges with an +/// endpoint home in `resident` stay. Returns the documents, edge versions +/// and label versions removed, summed over the cores. Every core answers +/// before it returns, and any core's error fails it. +pub async fn purge_on_every_core( + shared: &SharedState, + departed: &BTreeSet, + resident: &BTreeSet, + collections: &[HomedCollection], +) -> crate::Result { + injected_fault(shared.node_id)?; + let plan = PhysicalPlan::Meta(MetaOp::PurgeDepartedVShards { + departed: departed.iter().copied().collect(), + resident: resident.iter().copied().collect(), + collections: collections + .iter() + .map(|c| DepartedCollection { + database_id: c.database_id, + tenant_id: c.tenant_id, + collection: QualifiedCollection::new(DatabaseId::new(c.database_id), &c.name) + .as_str() + .to_string(), + }) + .collect(), + }); + let response = crate::control::server::broadcast::broadcast_count_to_all_cores_until( + shared, + TenantId::new(0), + DatabaseId::DEFAULT, + plan, + TraceId::generate(), + PURGED_COUNT, + Instant::now() + PURGE_DEADLINE, + ) + .await?; + let counts: std::collections::BTreeMap = + zerompk::from_msgpack(response.payload.as_bytes()).map_err(|e| { + crate::Error::Serialization { + format: "msgpack".into(), + detail: format!("departure purge count: {e}"), + } + })?; + counts + .get(PURGED_COUNT) + .copied() + .ok_or(crate::Error::Serialization { + format: "msgpack".into(), + detail: format!("departure purge count: the response carries no `{PURGED_COUNT}` key"), + }) +} + +/// Fail point `vshard_departure::purge`, scoped to node `node_id`: the purge +/// fails before any core runs, as an interrupted purge leaves it. +fn injected_fault(node_id: u64) -> crate::Result<()> { + #[cfg(feature = "failpoints")] + if let Some(detail) = crate::fail_point::eval_fail( + crate::fail_point::FailScope::Node(node_id), + "vshard_departure::purge", + ) { + return Err(crate::Error::Internal { detail }); + } + #[cfg(not(feature = "failpoints"))] + let _ = node_id; + Ok(()) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn only_collections_homed_on_a_departed_vshard_are_named() { + let dir = tempfile::tempdir().expect("tempdir"); + let catalog = SystemCatalog::open(&dir.path().join("system.redb")).expect("catalog"); + let names = ["dp_a", "dp_b", "dp_c", "dp_d", "dp_e", "dp_f"]; + for name in names { + let stored = + crate::control::security::catalog::StoredCollection::stamped_for_test(1, name, "o"); + catalog + .put_collection(DatabaseId::DEFAULT, &stored) + .expect("put"); + } + let home = |name: &str| { + nodedb_cluster::routing::vshard_for_collection(CollectionKey::from_bare( + DatabaseId::DEFAULT, + name, + )) + }; + let departed = BTreeSet::from([home("dp_a")]); + let named: Vec = departed_collections(&catalog, &departed) + .expect("collections") + .into_iter() + .map(|c| c.name) + .collect(); + let expected: Vec = names + .iter() + .filter(|name| home(name) == home("dp_a")) + .map(|name| name.to_string()) + .collect(); + assert_eq!(named, expected); + assert!( + departed_collections(&catalog, &BTreeSet::new()) + .expect("none") + .is_empty() + ); + } +} diff --git a/nodedb/src/control/cluster/vshard_departure/resident.rs b/nodedb/src/control/cluster/vshard_departure/resident.rs new file mode 100644 index 000000000..0c63096f4 --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/resident.rs @@ -0,0 +1,125 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The vShards whose data this node holds as a replica. +//! +//! A vShard is resident here while its data group: +//! - is mounted here: its replica applies the group's log; +//! - lists this node as a voter or a learner; +//! - names this node in its placement: a replica of it is entering here. +//! +//! A vShard outside all three left this node. Its new owners serve it, so +//! the copy here is stale. + +use std::collections::{BTreeMap, BTreeSet, HashSet}; + +use nodedb_cluster::RoutingTable; + +/// The vShards resident on `node_id`, and the data group of every vShard. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct ResidencyView { + pub resident: BTreeSet, + /// The data group each vShard routes to. + pub group_of: BTreeMap, +} + +impl ResidencyView { + /// The residency of `node_id`, which mounts the groups `mounted`, under + /// `routing`. + pub fn of(node_id: u64, mounted: &HashSet, routing: &RoutingTable) -> Self { + let mut groups: BTreeSet = mounted.iter().copied().collect(); + for (group_id, info) in routing.group_members() { + let placed = info + .placement + .as_ref() + .is_some_and(|placement| placement.contains(&node_id)); + if placed || info.members.contains(&node_id) || info.learners.contains(&node_id) { + groups.insert(*group_id); + } + } + let resident = groups + .iter() + .flat_map(|group_id| routing.vshards_for_group(*group_id)) + .collect(); + let group_of = routing + .vshard_to_group() + .iter() + .enumerate() + .filter_map(|(vshard, group)| u32::try_from(vshard).ok().map(|v| (v, *group))) + .collect(); + Self { resident, group_of } + } + + /// Whether `vshard_id` is resident here. + pub fn holds(&self, vshard_id: u32) -> bool { + self.resident.contains(&vshard_id) + } + + /// The data groups of `vshards`. + pub fn groups_of(&self, vshards: &[u32]) -> BTreeSet { + vshards + .iter() + .filter_map(|vshard| self.group_of.get(vshard).copied()) + .collect() + } +} + +#[cfg(test)] +mod tests { + use super::*; + + /// Data groups 1 and 2 over nodes 1..=3, every node a voter of both. + fn table() -> RoutingTable { + RoutingTable::uniform(2, &[1, 2, 3], 3) + } + + fn vshards(routing: &RoutingTable, group_id: u64) -> BTreeSet { + routing.vshards_for_group(group_id).into_iter().collect() + } + + #[test] + fn a_voter_holds_every_vshard_of_its_groups() { + let rt = table(); + let residency = ResidencyView::of(1, &HashSet::new(), &rt); + let all: BTreeSet = vshards(&rt, 1).union(&vshards(&rt, 2)).copied().collect(); + assert_eq!(residency.resident, all); + } + + #[test] + fn a_left_group_leaves_its_vshards() { + let mut rt = table(); + rt.set_placement(1, vec![2, 3]); + rt.set_group_members(1, vec![2, 3]); + let residency = ResidencyView::of(1, &HashSet::new(), &rt); + assert_eq!(residency.resident, vshards(&rt, 2)); + let left: Vec = vshards(&rt, 1).into_iter().collect(); + assert_eq!(residency.groups_of(&left), BTreeSet::from([1])); + } + + #[test] + fn a_mount_a_learner_or_a_placement_keeps_the_vshards() { + let mut rt = table(); + rt.set_group_members(1, vec![2, 3]); + // Still mounted: the replica applies the group's log. + let mounted = HashSet::from([1]); + assert!( + ResidencyView::of(1, &mounted, &rt) + .resident + .is_superset(&vshards(&rt, 1)) + ); + // A learner replicates the group. + rt.set_group_learners(1, vec![1]); + assert!( + ResidencyView::of(1, &HashSet::new(), &rt) + .resident + .is_superset(&vshards(&rt, 1)) + ); + // A placement naming the node: a replica is entering. + rt.set_group_learners(1, Vec::new()); + rt.set_placement(1, vec![1, 2, 3]); + assert!( + ResidencyView::of(1, &HashSet::new(), &rt) + .resident + .is_superset(&vshards(&rt, 1)) + ); + } +} diff --git a/nodedb/src/control/cluster/vshard_departure/task.rs b/nodedb/src/control/cluster/vshard_departure/task.rs new file mode 100644 index 000000000..291245921 --- /dev/null +++ b/nodedb/src/control/cluster/vshard_departure/task.rs @@ -0,0 +1,45 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The background loop that runs the departure pass. + +use std::sync::{Arc, Mutex}; +use std::time::Duration; + +use nodedb_cluster::multi_raft::MultiRaft; + +use crate::control::shutdown::{ShutdownPhase, spawn_loop}; +use crate::control::state::SharedState; + +use super::pass::DeparturePass; + +/// How often the departure pass runs. The pass reads the routing table and +/// the residency rows, and purges only when a vShard left. +const PASS_PERIOD: Duration = Duration::from_secs(1); + +/// Spawn the departure pass of node `node_id`, whose data groups +/// `multi_raft` mounts. It runs until shutdown. +pub fn spawn_departure_purge( + shared: &Arc, + node_id: u64, + multi_raft: Arc>, +) { + let state = Arc::clone(shared); + spawn_loop( + &shared.loop_registry, + &shared.shutdown, + "vshard_departure_purge", + ShutdownPhase::DrainingControlPlane, + move |mut shutdown| async move { + let mut pass = DeparturePass::default(); + let mut tick = tokio::time::interval(PASS_PERIOD); + tick.set_missed_tick_behavior(tokio::time::MissedTickBehavior::Skip); + loop { + tokio::select! { + biased; + _ = shutdown.wait_cancelled() => break, + _ = tick.tick() => pass.run(&state, node_id, &multi_raft).await, + } + } + }, + ); +} diff --git a/nodedb/src/control/crdt_post_image_policy.rs b/nodedb/src/control/crdt_post_image_policy.rs index a15b57fe2..5e1e5f947 100644 --- a/nodedb/src/control/crdt_post_image_policy.rs +++ b/nodedb/src/control/crdt_post_image_policy.rs @@ -11,6 +11,7 @@ use crate::control::security::audit::{AuditEmitContext, AuditEmitter, AuditEvent use crate::control::security::auth_context::AuthContext; use crate::control::security::catalog::SystemCatalog; use crate::control::security::rls::RlsPolicyStore; +use crate::control::state::SharedState; use crate::types::TenantId; use nodedb_types::{CrdtPreviewResult, Value}; @@ -19,18 +20,30 @@ pub struct ExternalCrdtPostImagePolicy<'a> { tenant_id: TenantId, collection: &'a str, auth: AuthContext, - rls: &'a RlsPolicyStore, - audit: &'a dyn AuditEmitter, + services: PolicyServices<'a>, /// Where the collection's typeguards and transition rules are read from. /// `None` judges no rule. guards: Option>, } +/// The shared services a CRDT post-image policy evaluates against: the RLS +/// store, the audit sink, and the user-defined CRSs write predicates resolve +/// SRIDs against. +#[derive(Clone, Copy)] +pub struct PolicyServices<'a> { + pub rls: &'a RlsPolicyStore, + pub audit: &'a dyn AuditEmitter, + pub crs_set: &'a nodedb_crs::CustomCrsSet, +} + /// The catalog row a CRDT admission reads the collection's typeguards and /// transition rules from. struct GuardSource<'a> { catalog: &'a SystemCatalog, database_id: nodedb_types::DatabaseId, + /// Resolves the CRS context CHECK and transition predicates evaluate + /// under. + state: &'a SharedState, } impl<'a> ExternalCrdtPostImagePolicy<'a> { @@ -38,15 +51,13 @@ impl<'a> ExternalCrdtPostImagePolicy<'a> { tenant_id: TenantId, collection: &'a str, auth: AuthContext, - rls: &'a RlsPolicyStore, - audit: &'a dyn AuditEmitter, + services: PolicyServices<'a>, ) -> Self { Self { tenant_id, collection, auth, - rls, - audit, + services, guards: None, } } @@ -61,12 +72,13 @@ impl<'a> ExternalCrdtPostImagePolicy<'a> { /// change, with the writer's roles. pub fn with_type_guards_from( mut self, - catalog: &'a SystemCatalog, + state: &'a SharedState, database_id: nodedb_types::DatabaseId, ) -> Self { self.guards = Some(GuardSource { - catalog, + catalog: state.credentials.catalog(), database_id, + state, }); self } @@ -97,6 +109,7 @@ impl<'a> ExternalCrdtPostImagePolicy<'a> { else { return Ok(()); }; + let crs = crate::control::crs_context::crs_context_for(source.state); if !coll.type_guards.is_empty() { let compiled = crate::data::executor::enforcement::typeguard::CompiledTypeGuard::compile_all( @@ -104,7 +117,7 @@ impl<'a> ExternalCrdtPostImagePolicy<'a> { &coll.type_guards, ); crate::data::executor::enforcement::typeguard::check_type_guards( - &compiled, document, None, + &compiled, document, None, &crs, ) .map_err(crate::Error::DataPlane)?; } @@ -124,6 +137,7 @@ impl<'a> ExternalCrdtPostImagePolicy<'a> { &serde_json::Value::from(previous.clone()), &serde_json::Value::from(document.clone()), &self.auth.roles, + &crs, ) .map_err(crate::Error::DataPlane)?; } @@ -139,16 +153,15 @@ impl<'a> ExternalCrdtPostImagePolicy<'a> { collection: &'a str, identity: &crate::control::security::identity::AuthenticatedIdentity, session_id: String, - rls: &'a RlsPolicyStore, - audit: &'a dyn AuditEmitter, + services: PolicyServices<'a>, ) -> Self { let mut auth = AuthContext::from_identity(identity, session_id); auth.database_id = Some(database_id); - Self::with_auth(tenant_id, collection, auth, rls, audit) + Self::with_auth(tenant_id, collection, auth, services) } fn deny(&self) -> crate::Result<()> { - self.audit.emit( + self.services.audit.emit( AuditEvent::RlsRejected, &self.auth.username, "CRDT post-merge write policy rejected", @@ -180,6 +193,7 @@ impl CrdtPostImagePolicy for ExternalCrdtPostImagePolicy<'_> { return Ok(()); } let policies = self + .services .rls .write_policies(self.tenant_id.as_u64(), self.collection); if policies.is_empty() { @@ -205,12 +219,13 @@ impl CrdtPostImagePolicy for ExternalCrdtPostImagePolicy<'_> { }; }; let document = serde_json::Value::from(value); - self.rls.check_write_with_auth( + self.services.rls.check_write_with_auth( self.tenant_id.as_u64(), self.collection, &document, &self.auth, - self.audit, + self.services.audit, + &nodedb_crs::CrsContext::new(self.services.crs_set), ) } } @@ -288,8 +303,11 @@ mod tests { principal.tenant_id, "orders", AuthContext::from_identity(&principal, "test".into()), - &store, - &audit, + PolicyServices { + rls: &store, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); assert!( policy @@ -315,8 +333,11 @@ mod tests { principal.tenant_id, "orders", AuthContext::from_identity(&principal, "test".into()), - &store, - &audit, + PolicyServices { + rls: &store, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); let malformed = CrdtPreviewResult { post_image_msgpack: vec![0x8f], @@ -348,8 +369,11 @@ mod tests { principal.tenant_id, "orders", AuthContext::from_identity(&principal, "test".into()), - &constrained, - &audit, + PolicyServices { + rls: &constrained, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); assert!(matches!( constrained_policy.evaluate(&preview(None)), @@ -361,8 +385,11 @@ mod tests { principal.tenant_id, "orders", AuthContext::from_identity(&principal, "test".into()), - &vacuous, - &audit, + PolicyServices { + rls: &vacuous, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); assert!(vacuous_policy.evaluate(&preview(None)).is_ok()); } @@ -380,8 +407,11 @@ mod tests { principal.tenant_id, "orders", AuthContext::from_identity(&principal, "test".into()), - &store, - &audit, + PolicyServices { + rls: &store, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); assert!( policy @@ -402,8 +432,11 @@ mod tests { root.tenant_id, "orders", AuthContext::from_identity(&root, "test".into()), - &store, - &audit, + PolicyServices { + rls: &store, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); assert!( root_policy @@ -433,8 +466,11 @@ mod tests { "orders", &principal, "test".into(), - &store, - &audit, + PolicyServices { + rls: &store, + audit: &audit, + crs_set: nodedb_crs::CustomCrsSet::empty(), + }, ); assert!( diff --git a/nodedb/src/control/crs_context.rs b/nodedb/src/control/crs_context.rs new file mode 100644 index 000000000..631cd5b53 --- /dev/null +++ b/nodedb/src/control/crs_context.rs @@ -0,0 +1,28 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The CRS context the Control Plane resolves SRIDs against. + +use std::sync::Arc; + +use nodedb_crs::{CrsContext, CustomCrsSet}; + +use crate::control::security::catalog::SystemCatalog; +use crate::control::state::SharedState; + +/// The CRS context for one statement planned or evaluated against +/// `catalog`: its user-defined CRSs first, then the built-in registry. The +/// context owns its share of the set, so it borrows nothing. +pub fn catalog_crs_context(catalog: &SystemCatalog) -> CrsContext<'static> { + CrsContext::shared(catalog.custom_crs_set()) +} + +/// The user-defined CRS set SRIDs resolve against under `state`: a share +/// of the set the catalog holds, as of this call. +pub fn crs_set_for(state: &SharedState) -> Arc { + state.credentials.catalog().custom_crs_set() +} + +/// The CRS context for one statement planned or evaluated against `state`. +pub fn crs_context_for(state: &SharedState) -> CrsContext<'static> { + catalog_crs_context(state.credentials.catalog()) +} diff --git a/nodedb/src/control/distributed_applier/apply_loop/start.rs b/nodedb/src/control/distributed_applier/apply_loop/start.rs index 3c726f71d..1ba41b81c 100644 --- a/nodedb/src/control/distributed_applier/apply_loop/start.rs +++ b/nodedb/src/control/distributed_applier/apply_loop/start.rs @@ -149,6 +149,9 @@ fn entry_scope(decoded: &mut Option) -> EntryScope { .as_mut() .map(|e| std::mem::take(&mut e.user_roles)) .unwrap_or_default(), + system_ordinal: decoded + .as_ref() + .and_then(ReplicatedEntry::carried_system_ordinal), } } diff --git a/nodedb/src/control/distributed_applier/apply_loop/write_dispatch.rs b/nodedb/src/control/distributed_applier/apply_loop/write_dispatch.rs index 09c6f93b7..5f1f158e8 100644 --- a/nodedb/src/control/distributed_applier/apply_loop/write_dispatch.rs +++ b/nodedb/src/control/distributed_applier/apply_loop/write_dispatch.rs @@ -45,6 +45,9 @@ pub(super) struct EntryScope { /// The roles of the identity that wrote the write, which every replica /// judges a role-guarded state transition against. pub user_roles: Vec, + /// The system-time ordinal the entry's leader assigned, which every + /// replica stamps the write's bitemporal versions from. + pub system_ordinal: Option, } /// Prepare a generic entry. `exclusive` marks an entry whose apply awaits its @@ -89,6 +92,7 @@ async fn enqueue_generic_entry<'a>( event_source, incarnations, user_roles, + system_ordinal, } = scope; let ApplyContext { state, tracker, .. } = ctx; let AppliedPosition { @@ -253,12 +257,15 @@ async fn enqueue_generic_entry<'a>( // resolved, so this replica's redo record and its live apply // install the byte-identical value every other replica does. // `change_position` gives the write's change events the entry's - // log position, which every replica shares. + // log position, which every replica shares. `system_ordinal` is + // the stamp the entry's leader assigned, which every replica's + // bitemporal versions take. durability: WalDurability::AppendHere { now_override: resolved_now_ms, apply_key: applied_key, commit_hlc: pos.carried_commit_hlc(), change_position: Some(pos.change_position(state, vshard_id.as_u32())), + system_ordinal, }, // Raft committed this entry at a fixed log index; every // replica applies it in that order. Re-entering the diff --git a/nodedb/src/control/exec_receiver/executor.rs b/nodedb/src/control/exec_receiver/executor.rs index 4bc66676d..884b556a3 100644 --- a/nodedb/src/control/exec_receiver/executor.rs +++ b/nodedb/src/control/exec_receiver/executor.rs @@ -271,15 +271,32 @@ impl LocalPlanExecutor { } } - if let Err(error) = - confirm_read_leg(&self.state, database_id, &plan, &req.read_groups, deadline).await + // The read confirm, the cut wait, and the read share one instant: the + // coordinator's remaining budget. + let hop_deadline = + crate::control::server::shared::session::StatementDeadline::after(deadline); + if let Err(error) = confirm_read_leg( + &self.state, + database_id, + &plan, + &req.read_groups, + hop_deadline.remaining(), + ) + .await { return ExecuteResponse::err(error); } + // A historical read runs only once this node installed every + // version at or below its cut. + if let Err(error) = + crate::control::read_cut::await_read_cut(&self.state, &plan, hop_deadline).await + { + return ExecuteResponse::err(execution_error_to_typed(error)); + } // A vShard-scoped plan runs on its one owning core. Every other plan // fans across all local cores. - match tokio::time::timeout( - deadline, + match tokio::time::timeout_at( + hop_deadline.tokio_instant(), execute_received_plan( &self.state, tenant_id, diff --git a/nodedb/src/control/gateway/dispatcher.rs b/nodedb/src/control/gateway/dispatcher.rs index 68050b747..3f63f4054 100644 --- a/nodedb/src/control/gateway/dispatcher.rs +++ b/nodedb/src/control/gateway/dispatcher.rs @@ -85,6 +85,16 @@ pub(crate) async fn dispatch_route( match route.decision { RouteDecision::Local => { confirm_local_read(shared, database_id, &route.plan, &read_groups, deadline_ms).await?; + // A historical read runs only once this node installed its cut + // (`read_cut::wait`). + crate::control::read_cut::await_read_cut( + shared, + &route.plan, + crate::control::server::shared::session::StatementDeadline::after( + std::time::Duration::from_millis(deadline_ms), + ), + ) + .await?; dispatch_local( route, LocalContext { diff --git a/nodedb/src/control/gateway/error_map/class_parity/code_samples.rs b/nodedb/src/control/gateway/error_map/class_parity/code_samples.rs index aa3a526bb..b424ceefb 100644 --- a/nodedb/src/control/gateway/error_map/class_parity/code_samples.rs +++ b/nodedb/src/control/gateway/error_map/class_parity/code_samples.rs @@ -8,7 +8,7 @@ use nodedb_types::sync::wire::SyncProvenance; use crate::bridge::envelope::{CounterFault, ErrorCode, SyncHold}; /// The number of `ErrorCode` variants [`variant_index`] numbers. -pub(super) const VARIANT_COUNT: usize = 53; +pub(super) const VARIANT_COUNT: usize = 54; /// A dense index per variant. Exhaustive, so a new variant fails to compile /// here until it gets an index, and [`every_variant_has_a_sample`] then fails @@ -61,6 +61,7 @@ pub(super) fn variant_index(code: &ErrorCode) -> usize { ErrorCode::TextColumn { .. } => 43, ErrorCode::NumericValueOutOfRange { .. } => 44, ErrorCode::NodeLabelLimit { .. } => 45, + ErrorCode::ProgramLimitExceeded { .. } => 53, ErrorCode::InvalidTextRepresentation { .. } => 46, ErrorCode::DatatypeMismatch { .. } => 47, ErrorCode::InvalidDatetimeFormat { .. } => 48, @@ -221,6 +222,7 @@ pub(super) fn samples() -> Vec { label: "Person".into(), limit: 64, }, + ErrorCode::ProgramLimitExceeded { detail: text() }, ]; for constraint in [ "not_null", diff --git a/nodedb/src/control/gateway/error_map/class_parity/error_index.rs b/nodedb/src/control/gateway/error_map/class_parity/error_index.rs index 6e7541dc1..1c3cbd0b5 100644 --- a/nodedb/src/control/gateway/error_map/class_parity/error_index.rs +++ b/nodedb/src/control/gateway/error_map/class_parity/error_index.rs @@ -3,7 +3,7 @@ //! A dense index per `crate::Error` variant. /// The number of `crate::Error` variants [`error_variant_index`] numbers. -pub(super) const ERROR_VARIANT_COUNT: usize = 126; +pub(super) const ERROR_VARIANT_COUNT: usize = 127; /// A dense index per `crate::Error` variant. Exhaustive, so a new variant /// fails to compile here until it gets an index, and @@ -138,5 +138,6 @@ pub(crate) fn error_variant_index(err: &crate::Error) -> usize { E::WrongObjectType { .. } => 123, E::MixedSrid { .. } => 124, E::UngroupedColumn { .. } => 125, + E::UnknownSrid { .. } => 126, } } diff --git a/nodedb/src/control/gateway/error_map/class_parity/error_samples.rs b/nodedb/src/control/gateway/error_map/class_parity/error_samples.rs index 0016f90ce..d984ebe6b 100644 --- a/nodedb/src/control/gateway/error_map/class_parity/error_samples.rs +++ b/nodedb/src/control/gateway/error_map/class_parity/error_samples.rs @@ -221,6 +221,9 @@ pub(crate) fn error_samples() -> Vec { index_srid: 4326, row_srid: 32648, }, + E::UnknownSrid { + source: nodedb_crs::UnknownSrid::Undefined { code: 999 }, + }, E::NumericValueOutOfRange { detail: text() }, E::InvalidTextRepresentation { detail: text() }, E::DatatypeMismatch { detail: text() }, diff --git a/nodedb/src/control/gateway/error_map/resp.rs b/nodedb/src/control/gateway/error_map/resp.rs index 2ee02b72e..b1f7c050a 100644 --- a/nodedb/src/control/gateway/error_map/resp.rs +++ b/nodedb/src/control/gateway/error_map/resp.rs @@ -97,6 +97,7 @@ impl GatewayErrorMap { | Error::DivisionByZero | Error::DataException { .. } | Error::MixedSrid { .. } + | Error::UnknownSrid { .. } | Error::NumericValueOutOfRange { .. } | Error::InvalidTextRepresentation { .. } | Error::DatatypeMismatch { .. } diff --git a/nodedb/src/control/gateway/invalidation.rs b/nodedb/src/control/gateway/invalidation.rs index ba95351be..83b3c83c2 100644 --- a/nodedb/src/control/gateway/invalidation.rs +++ b/nodedb/src/control/gateway/invalidation.rs @@ -49,6 +49,16 @@ impl PlanCacheInvalidator { cache.invalidate_descriptor(name, new_version); } } + + /// Evict every cache entry. + /// + /// No-op if the plan cache has been dropped. + pub fn invalidate_all(&self) { + if let Some(cache) = self.cache.upgrade() { + debug!("gateway plan cache: invalidating every entry"); + cache.clear(); + } + } } #[cfg(test)] diff --git a/nodedb/src/control/gateway/plan_cache.rs b/nodedb/src/control/gateway/plan_cache.rs index e2a0f7076..b7d963b4f 100644 --- a/nodedb/src/control/gateway/plan_cache.rs +++ b/nodedb/src/control/gateway/plan_cache.rs @@ -194,6 +194,14 @@ impl PlanCache { }); } + /// Evict every entry. A change that no version set names, such as a + /// dropped user-defined CRS a plan resolved, makes any plan stale. + pub fn clear(&self) { + let mut inner = self.inner.lock().unwrap_or_else(|p| p.into_inner()); + inner.version_set_index.clear(); + inner.entries.clear(); + } + /// Look up the most recently stored `GatewayVersionSet` for a SQL key. /// /// Used by `execute_sql` for the two-phase cache lookup: check the side diff --git a/nodedb/src/control/gateway/version_set/plan_keys.rs b/nodedb/src/control/gateway/version_set/plan_keys.rs index d09592bb9..638cf9a5c 100644 --- a/nodedb/src/control/gateway/version_set/plan_keys.rs +++ b/nodedb/src/control/gateway/version_set/plan_keys.rs @@ -238,7 +238,6 @@ pub fn touched_collections(plan: &PhysicalPlan) -> Vec { | Match { .. } | MatchContinuation { .. } | MatchVarLenResume { .. } - | TemporalAlgorithm { .. } | Stats { collection: None, .. } diff --git a/nodedb/src/control/lease/drain_propose.rs b/nodedb/src/control/lease/drain_propose.rs index 808169f1e..2c6379208 100644 --- a/nodedb/src/control/lease/drain_propose.rs +++ b/nodedb/src/control/lease/drain_propose.rs @@ -122,7 +122,7 @@ fn count_matching_leases( ) -> usize { let instant = Instant::now(); let now = nodedb_cluster::LeaseNow { - wall_ns: super::wall_now_ns(), + wall_ns: nodedb_types::wall_now_ns(), instant, // Reading the leader term takes the raft coordinator lock, so skip // it unless some holder can qualify for early release. @@ -288,7 +288,7 @@ mod tests { /// nothing. fn unexpired() -> nodedb_types::Hlc { nodedb_types::Hlc::new( - super::super::wall_now_ns().saturating_add(60_000_000_000), + nodedb_types::wall_now_ns().saturating_add(60_000_000_000), 0, ) } @@ -296,7 +296,7 @@ mod tests { /// A lease expiry a minute in the past, in REAL wall time. fn expired() -> nodedb_types::Hlc { nodedb_types::Hlc::new( - super::super::wall_now_ns().saturating_sub(60_000_000_000), + nodedb_types::wall_now_ns().saturating_sub(60_000_000_000), 0, ) } @@ -395,11 +395,11 @@ mod tests { // An HLC an hour ahead of real time, folded into the local clock. let skewed = nodedb_types::Hlc::new( - super::super::wall_now_ns().saturating_add(3_600_000_000_000), + nodedb_types::wall_now_ns().saturating_add(3_600_000_000_000), 0, ); state.hlc_clock.update(skewed); - assert!(state.hlc_clock.peek().wall_ns > super::super::wall_now_ns()); + assert!(state.hlc_clock.peek().wall_ns > nodedb_types::wall_now_ns()); insert_lease(&state, &descriptor, 1, 1, unexpired()); assert_eq!( @@ -523,7 +523,7 @@ mod tests { let (state, remote, _directory) = state_with_remote_member(); let descriptor = orders(); let just_expired = - nodedb_types::Hlc::new(super::super::wall_now_ns().saturating_sub(1_000_000_000), 0); + nodedb_types::Hlc::new(nodedb_types::wall_now_ns().saturating_sub(1_000_000_000), 0); insert_lease(&state, &descriptor, remote, 1, just_expired); assert_eq!( diff --git a/nodedb/src/control/lease/mod.rs b/nodedb/src/control/lease/mod.rs index e248e1a86..91ffcef99 100644 --- a/nodedb/src/control/lease/mod.rs +++ b/nodedb/src/control/lease/mod.rs @@ -38,10 +38,8 @@ pub mod renewal; pub mod runtime; mod self_fence; pub mod shutdown_release; -mod wall_time; pub(crate) use self_fence::lease_use_is_fenced; -pub(super) use wall_time::wall_now_ns; pub use descriptor_lookup::{ clear_implicit_drains, descriptor_id_and_prior_version, descriptor_id_for_implicit_clear, diff --git a/nodedb/src/control/lease/renewal.rs b/nodedb/src/control/lease/renewal.rs index 07fecec82..e5555c7d4 100644 --- a/nodedb/src/control/lease/renewal.rs +++ b/nodedb/src/control/lease/renewal.rs @@ -180,7 +180,7 @@ impl LeaseRenewalLoop { let Some(shared) = self.shared.upgrade() else { return; }; - let now_wall_ns = super::wall_now_ns(); + let now_wall_ns = nodedb_types::wall_now_ns(); let near_expiry = collect_near_expiry(&shared, now_wall_ns, &self.config); if near_expiry.is_empty() { return; diff --git a/nodedb/src/control/lease/wall_time.rs b/nodedb/src/control/lease/wall_time.rs deleted file mode 100644 index 518401e29..000000000 --- a/nodedb/src/control/lease/wall_time.rs +++ /dev/null @@ -1,15 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! Wall-clock helper shared by every lease code path that needs a -//! "real time now" reference — the renewal loop, the drain tracker -//! check, and the drain TTL computation. See `lease::renewal::tick` -//! for the rationale on why these paths use wall clock directly -//! instead of `HlcClock::peek`. - -/// Wall-clock nanoseconds since Unix epoch. -pub(crate) fn wall_now_ns() -> u64 { - std::time::SystemTime::now() - .duration_since(std::time::UNIX_EPOCH) - .map(|d| d.as_nanos() as u64) - .unwrap_or(0) -} diff --git a/nodedb/src/control/maintenance/clone_materializer/chained.rs b/nodedb/src/control/maintenance/clone_materializer/chained.rs index 4e359510a..d1701f168 100644 --- a/nodedb/src/control/maintenance/clone_materializer/chained.rs +++ b/nodedb/src/control/maintenance/clone_materializer/chained.rs @@ -86,7 +86,7 @@ pub(super) async fn materialize_chained_collection( source_db_id: origin.source_database, source_qualified: &source_qualified, cursor: &cursor, - system_as_of_ms, + system_time: super::document::clone_scope(system_as_of_ms), raw_bodies: true, }; let (entries, next_cursor) = scan_page(state, page, None).await?; diff --git a/nodedb/src/control/maintenance/clone_materializer/columnar.rs b/nodedb/src/control/maintenance/clone_materializer/columnar.rs index 901d130c9..a35439c3e 100644 --- a/nodedb/src/control/maintenance/clone_materializer/columnar.rs +++ b/nodedb/src/control/maintenance/clone_materializer/columnar.rs @@ -248,6 +248,7 @@ impl ColumnarCopy<'_> { schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, // `materialize_one` (walker.rs) already refused this // materialization if either side carried an RLS policy, // so no policy applies to source or target here — this diff --git a/nodedb/src/control/maintenance/clone_materializer/document.rs b/nodedb/src/control/maintenance/clone_materializer/document.rs index 6c9a5debf..c63fb638f 100644 --- a/nodedb/src/control/maintenance/clone_materializer/document.rs +++ b/nodedb/src/control/maintenance/clone_materializer/document.rs @@ -11,7 +11,7 @@ //! filters CoW-copied rows, and `if_absent` skips already-written rows — the //! per-page checkpoint is best-effort but the per-key probes cover it. -use nodedb_types::{DatabaseId, TenantId}; +use nodedb_types::{DatabaseId, SystemTimeScope, TenantId}; use crate::types::TxnId; @@ -105,7 +105,7 @@ pub(crate) async fn scan_source_page( source_db_id: DatabaseId, source_qualified: &str, cursor: &[u8], - system_as_of_ms: Option, + system_time: SystemTimeScope, txn_id: Option, ) -> crate::Result { let page = SourcePage { @@ -113,19 +113,26 @@ pub(crate) async fn scan_source_page( source_db_id, source_qualified, cursor, - system_as_of_ms, + system_time, raw_bodies: false, }; scan_page(state, page, txn_id).await } +/// The scope a clone copy reads its source at: `AsOf` the clone's source +/// time, or `Current` when the clone carries none. +pub(super) fn clone_scope(system_as_of_ms: Option) -> SystemTimeScope { + system_as_of_ms.map_or(SystemTimeScope::Current, SystemTimeScope::AsOf) +} + /// One source-side scan page request. pub(super) struct SourcePage<'a> { pub tenant_id: TenantId, pub source_db_id: DatabaseId, pub source_qualified: &'a str, pub cursor: &'a [u8], - pub system_as_of_ms: Option, + /// `Current`, or the point-in-time cut every page reads at. + pub system_time: SystemTimeScope, /// Bodies as stored, with no `id` added. pub raw_bodies: bool, } @@ -141,14 +148,14 @@ pub(super) async fn scan_page( source_db_id, source_qualified, cursor, - system_as_of_ms, + system_time, raw_bodies, } = page; let plan = PhysicalPlan::Document(DocumentOp::MaterializeScan { collection: nodedb_types::QualifiedCollection::from_stored(source_qualified.to_string()), cursor: cursor.to_vec(), count: SCAN_PAGE, - system_as_of_ms, + system_time, raw_bodies, }); // A transaction's staging overlay lives on the source shard's leader, so diff --git a/nodedb/src/control/maintenance/clone_materializer/document_copy.rs b/nodedb/src/control/maintenance/clone_materializer/document_copy.rs index 57bcde928..d9e1f6d10 100644 --- a/nodedb/src/control/maintenance/clone_materializer/document_copy.rs +++ b/nodedb/src/control/maintenance/clone_materializer/document_copy.rs @@ -56,7 +56,7 @@ impl RowCopy<'_> { source_db_id: self.source_db_id, source_qualified: &self.source_qualified, cursor: &cursor, - system_as_of_ms: self.system_as_of_ms, + system_time: super::document::clone_scope(self.system_as_of_ms), raw_bodies: true, }; let (entries, next_cursor) = scan_page(self.state, page, None).await?; diff --git a/nodedb/src/control/merge_orchestrator/expand_staged_merge.rs b/nodedb/src/control/merge_orchestrator/expand_staged_merge.rs index dce850b18..837677507 100644 --- a/nodedb/src/control/merge_orchestrator/expand_staged_merge.rs +++ b/nodedb/src/control/merge_orchestrator/expand_staged_merge.rs @@ -80,6 +80,7 @@ pub(crate) async fn resolve_and_emit_merge_ops( body, tenant_id.as_u64(), target_collection.as_str(), + &crate::control::crs_context::crs_context_for(state), )?; } } diff --git a/nodedb/src/control/merge_orchestrator/orchestrator.rs b/nodedb/src/control/merge_orchestrator/orchestrator.rs index 8254f0001..d96d44c02 100644 --- a/nodedb/src/control/merge_orchestrator/orchestrator.rs +++ b/nodedb/src/control/merge_orchestrator/orchestrator.rs @@ -225,6 +225,7 @@ pub(crate) async fn run_merge(state: &SharedState, args: MergeArgs<'_>) -> crate .chain(arms.inserts.iter().map(|(_, body)| body.as_slice())), args.tenant_id, args.target_collection, + &crate::control::crs_context::crs_context_for(state), )?; let insert_rows = arms.inserts; diff --git a/nodedb/src/control/metadata_proposer/ddl_prepare.rs b/nodedb/src/control/metadata_proposer/ddl_prepare.rs index a9eb2bffe..172e74fa3 100644 --- a/nodedb/src/control/metadata_proposer/ddl_prepare.rs +++ b/nodedb/src/control/metadata_proposer/ddl_prepare.rs @@ -4,7 +4,7 @@ //! serialize descriptor preparation across the cluster. use std::sync::atomic::Ordering; -use std::time::{Duration, Instant, SystemTime, UNIX_EPOCH}; +use std::time::{Duration, Instant}; use nodedb_cluster::{MetadataEntry, encode_entry}; @@ -19,14 +19,6 @@ use super::wait::await_metadata_apply; const DDL_PREPARE_WAIT: Duration = super::ddl_owner::DDL_PREPARE_LEASE.saturating_add(Duration::from_secs(10)); -fn wall_now_ns() -> u64 { - SystemTime::now() - .duration_since(UNIX_EPOCH) - .unwrap_or_default() - .as_nanos() - .min(u64::MAX as u128) as u64 -} - /// Poll interval while another token holds the preparation lease. const DDL_PREPARE_POLL: Duration = Duration::from_millis(10); @@ -36,7 +28,9 @@ fn next_token(shared: &SharedState) -> u64 { .metadata_ddl .token_seq .fetch_add(1, Ordering::Relaxed); - shared.node_id.wrapping_mul(0x9e37_79b9_7f4a_7c15) ^ wall_now_ns().rotate_left(17) ^ sequence + shared.node_id.wrapping_mul(0x9e37_79b9_7f4a_7c15) + ^ nodedb_types::wall_now_ns().rotate_left(17) + ^ sequence } fn encode_metadata(entry: &MetadataEntry) -> Result, Error> { diff --git a/nodedb/src/control/mod.rs b/nodedb/src/control/mod.rs index 496097847..15bbdbb3c 100644 --- a/nodedb/src/control/mod.rs +++ b/nodedb/src/control/mod.rs @@ -17,6 +17,7 @@ pub mod cold_tier; pub mod constraint_install; pub mod crdt_admission; pub mod crdt_post_image_policy; +pub mod crs_context; pub mod custom_type; pub mod database; pub mod distributed_applier; @@ -43,6 +44,7 @@ pub mod pitr; pub mod planner; pub mod promql; pub mod propose_outcome; +pub mod read_cut; pub mod request_tracker; pub mod rolling_upgrade; pub mod router; diff --git a/nodedb/src/control/orchestrated_write.rs b/nodedb/src/control/orchestrated_write.rs index 1e52e789a..b684b3729 100644 --- a/nodedb/src/control/orchestrated_write.rs +++ b/nodedb/src/control/orchestrated_write.rs @@ -104,6 +104,7 @@ pub(crate) fn decide_write_policy_over_images<'a>( images: impl IntoIterator, tenant_id: TenantId, collection: &str, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result<()> { match rls_write_check.decision() { nodedb_types::WriteGateDecision::AdmitAll => Ok(()), @@ -114,6 +115,7 @@ pub(crate) fn decide_write_policy_over_images<'a>( image, tenant_id.as_u64(), collection, + crs, )?; } Ok(()) diff --git a/nodedb/src/control/otel/exporter.rs b/nodedb/src/control/otel/exporter.rs index a45cd3ed8..2a7ab1f05 100644 --- a/nodedb/src/control/otel/exporter.rs +++ b/nodedb/src/control/otel/exporter.rs @@ -10,7 +10,6 @@ use std::sync::Arc; use std::time::Duration; -use tokio::sync::watch; use tracing::{debug, warn}; use super::proto::{ @@ -19,6 +18,9 @@ use super::proto::{ SpanKind, SpanStatus, StatusCode as OtelStatusCode, }; use crate::control::metrics::SystemMetrics; +use crate::control::security::egress::EgressError; +use crate::control::shutdown::{ShutdownPhase, spawn_loop}; +use crate::control::state::SharedState; use nodedb_types::TraceId; /// Configuration for the OTLP exporter. @@ -51,61 +53,72 @@ impl ExporterConfig { } } -/// Spawn the background OTLP metrics exporter. +/// Cap on one metrics POST. +const METRICS_POST_TIMEOUT: Duration = Duration::from_secs(10); + +/// Spawn the background OTLP metrics exporter of `shared`. /// -/// Periodically reads SystemMetrics and pushes to the configured OTLP endpoint. -/// Returns a shutdown signal sender. +/// Every `config.metrics_interval` it reads the node's `SystemMetrics` and +/// posts them to `/v1/metrics` through the outbound egress client. +/// The loop joins at the Control Plane drain. The endpoint is operator +/// config: one the `[egress]` policy refuses is an error, and nothing is +/// spawned. Returns whether the exporter started: it does not when metrics +/// export is off or the state carries no metrics registry. pub fn spawn_metrics_exporter( + shared: &Arc, config: ExporterConfig, - metrics: Arc, - node_id: u64, -) -> watch::Sender { - let (shutdown_tx, mut shutdown_rx) = watch::channel(false); - +) -> Result { if !config.is_enabled() || !config.export_metrics { - return shutdown_tx; + return Ok(false); } - + let Some(metrics) = shared.system_metrics.clone() else { + return Ok(false); + }; let endpoint = format!("{}/v1/metrics", config.endpoint.trim_end_matches('/')); + shared.remote_sources.egress().check_url(&endpoint)?; + let client = Arc::clone(shared.remote_sources.http()); let interval = config.metrics_interval; - - tokio::spawn(async move { - let client = reqwest::Client::new(); - let mut ticker = tokio::time::interval(interval); - - loop { - tokio::select! { - _ = ticker.tick() => {} - _ = shutdown_rx.changed() => break, - } - - let request = build_metrics_request(&metrics, node_id); - let mut buf = Vec::new(); - if prost::Message::encode(&request, &mut buf).is_err() { - continue; - } - - match client - .post(&endpoint) - .header("content-type", "application/x-protobuf") - .body(buf) - .send() - .await - { - Ok(resp) if resp.status().is_success() => { - debug!("OTLP metrics export: OK"); + let node_id = shared.node_id; + + spawn_loop( + &shared.loop_registry, + &shared.shutdown, + "otlp_metrics_export", + ShutdownPhase::DrainingControlPlane, + move |mut shutdown| async move { + let mut ticker = tokio::time::interval(interval); + loop { + tokio::select! { + _ = shutdown.wait_cancelled() => break, + _ = ticker.tick() => {} } - Ok(resp) => { - warn!("OTLP metrics export: status {}", resp.status()); + let request = build_metrics_request(&metrics, node_id); + let mut buf = Vec::new(); + if prost::Message::encode(&request, &mut buf).is_err() { + continue; } - Err(e) => { - warn!("OTLP metrics export: {e}"); + match client + .post(&endpoint) + .header("content-type", "application/x-protobuf") + .timeout(METRICS_POST_TIMEOUT) + .body(buf) + .send() + .await + { + Ok(resp) if resp.status().is_success() => { + debug!("OTLP metrics export: OK"); + } + Ok(resp) => { + warn!("OTLP metrics export: status {}", resp.status()); + } + Err(e) => { + warn!("OTLP metrics export: {}", e.without_url()); + } } } - } - }); - - shutdown_tx + }, + ); + Ok(true) } /// Build an OTLP ExportMetricsServiceRequest from SystemMetrics. @@ -351,3 +364,52 @@ fn rand_span_id() -> [u8; 8] { id.copy_from_slice(&ts.to_le_bytes()); id } + +#[cfg(test)] +mod tests { + use super::*; + + fn test_state() -> (Arc, tempfile::TempDir) { + let dir = tempfile::tempdir().expect("tempdir"); + let wal = Arc::new( + crate::wal::WalManager::open_for_testing(&dir.path().join("otlp.wal")).expect("wal"), + ); + let (dispatcher, _sides) = crate::bridge::dispatch::Dispatcher::new(1, 64); + let state = SharedState::new(dispatcher, wal).expect("shared state"); + (state, dir) + } + + fn metrics_config(endpoint: &str) -> ExporterConfig { + ExporterConfig { + endpoint: endpoint.into(), + export_metrics: true, + ..ExporterConfig::default() + } + } + + #[tokio::test] + async fn a_metrics_endpoint_outside_the_egress_policy_is_refused() { + let (state, _dir) = test_state(); + for (endpoint, expected) in [ + ("http://127.0.0.1:4318", EgressError::IpLiteral), + ("http://otel-collector:4318", EgressError::NonHttps), + ] { + let refused = spawn_metrics_exporter(&state, metrics_config(endpoint)); + assert_eq!(refused.err(), Some(expected), "{endpoint}"); + } + } + + #[tokio::test] + async fn an_unconfigured_exporter_never_starts() { + let (state, _dir) = test_state(); + let off = ExporterConfig { + endpoint: "https://otel.example".into(), + ..ExporterConfig::default() + }; + assert_eq!(spawn_metrics_exporter(&state, off), Ok(false)); + assert_eq!( + spawn_metrics_exporter(&state, ExporterConfig::default()), + Ok(false) + ); + } +} diff --git a/nodedb/src/control/planner/calvin/dependent_recon_node_edges.rs b/nodedb/src/control/planner/calvin/dependent_recon_node_edges.rs index dbe90cc81..d8bb72f58 100644 --- a/nodedb/src/control/planner/calvin/dependent_recon_node_edges.rs +++ b/nodedb/src/control/planner/calvin/dependent_recon_node_edges.rs @@ -23,7 +23,7 @@ use std::collections::{BTreeSet, HashMap}; use nodedb_physical::physical_plan::{BatchEdge, GraphOp, PhysicalPlan}; use nodedb_physical::physical_task::{PhysicalTask, PostSetOp}; use nodedb_types::graph::Direction; -use nodedb_types::{QualifiedCollection, Surrogate, SystemTimeScope, Value}; +use nodedb_types::{QualifiedCollection, Surrogate, Value}; use super::dependent_recon_predicate::EdgeLifecycle; use super::preexec::{PreexecRequest, PreexecScan, RowIdentityRead, run_preexec_scan}; @@ -115,8 +115,7 @@ pub(super) async fn read_node_incident_edges( node_id: node.clone(), edge_label: None, direction, - system_time: SystemTimeScope::Current, - valid_at_ms: None, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), rls_filters: Vec::new(), }); let payload = @@ -293,6 +292,8 @@ fn build_node_delete_tasks( dst_id: dst.clone(), src_surrogate: surrogate_of(src)?, dst_surrogate: surrogate_of(dst)?, + valid_from_ms: None, + valid_until_ms: None, }); } guards.push(PhysicalTask { diff --git a/nodedb/src/control/planner/calvin/dispatch.rs b/nodedb/src/control/planner/calvin/dispatch.rs index fc8583c3e..1645bb70b 100644 --- a/nodedb/src/control/planner/calvin/dispatch.rs +++ b/nodedb/src/control/planner/calvin/dispatch.rs @@ -362,11 +362,13 @@ mod tests { collection: QualifiedCollection::new(DatabaseId::DEFAULT, "metrics"), filters: vec![], updates: vec![], + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }); let delete = PhysicalPlan::Columnar(ColumnarOp::Delete { collection: QualifiedCollection::new(DatabaseId::DEFAULT, "metrics"), filters: vec![], + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }); assert!( diff --git a/nodedb/src/control/planner/calvin/dispatch_multi.rs b/nodedb/src/control/planner/calvin/dispatch_multi.rs index dd06df0ae..634b865c2 100644 --- a/nodedb/src/control/planner/calvin/dispatch_multi.rs +++ b/nodedb/src/control/planner/calvin/dispatch_multi.rs @@ -272,6 +272,8 @@ mod tests { properties: Vec::new(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }), post_set_op: PostSetOp::None, txn_id: None, diff --git a/nodedb/src/control/planner/calvin/edge_truncate.rs b/nodedb/src/control/planner/calvin/edge_truncate.rs index 232f6bbad..bdadea183 100644 --- a/nodedb/src/control/planner/calvin/edge_truncate.rs +++ b/nodedb/src/control/planner/calvin/edge_truncate.rs @@ -12,7 +12,7 @@ //! transaction's ordinal. The cut writes no edge version and reads no //! stored edge: every read hides the collection's versions applied below //! it. Every edge write runs as a Calvin transaction -//! ([`super::edge_sequencing`]), so every edge version is applied at a +//! ([`super::graph_sequencing`]), so every edge version is applied at a //! Calvin ordinal. An edge sequenced before the TRUNCATE is hidden, and //! one sequenced after it stays, on every replica, under any clock skew //! and in any order a core applies the transactions in. diff --git a/nodedb/src/control/planner/calvin/edge_sequencing.rs b/nodedb/src/control/planner/calvin/graph_sequencing.rs similarity index 60% rename from nodedb/src/control/planner/calvin/edge_sequencing.rs rename to nodedb/src/control/planner/calvin/graph_sequencing.rs index a2fb73234..6bada05a8 100644 --- a/nodedb/src/control/planner/calvin/edge_sequencing.rs +++ b/nodedb/src/control/planner/calvin/graph_sequencing.rs @@ -1,6 +1,6 @@ // SPDX-License-Identifier: BUSL-1.1 -//! Every edge write runs as a Calvin transaction. +//! Every edge write and every node-label write runs as a Calvin transaction. //! //! The edge versions of a collection live in one ordering domain: the //! Calvin sequence. An edge version is applied at its transaction's ordinal. @@ -8,14 +8,20 @@ //! version applied below it. So on every replica, and under any clock skew, //! a TRUNCATE hides exactly the versions sequenced before it. //! +//! A node-label version takes its transaction's ordinal too, carried in the +//! redo record every replica installs. Every replica then writes the same +//! label version at the same ordinal, and a historical read at a pinned cut +//! reads the same labels on every node. +//! //! A plain data-group Raft entry cannot give that. It carries no Calvin -//! ordinal, so its edge versions order against no TRUNCATE cut. It also -//! takes no Calvin lock, so a node delete's guard does not order against it. +//! ordinal, so its versions order against no TRUNCATE cut and each replica +//! stamps them from its own clock. It also takes no Calvin lock, so a node +//! delete's guard does not order against it. //! //! The Raft propose seams (`propose_replicated_entry`, `propose_sync_write`) -//! hand every edge write here. A session COMMIT that buffered an edge write -//! commits through Calvin. A RESTORE re-issues its edge versions as Calvin -//! transactions of its own, which carry the restore's mark (see +//! hand every edge and label write here. A session COMMIT that buffered one +//! commits through Calvin. A RESTORE re-issues its edge and label versions +//! as Calvin transactions of its own, which carry the restore's mark (see //! `backup::restore::redo_reissue`). use std::future::Future; @@ -44,7 +50,8 @@ pub fn is_edge_write(plan: &PhysicalPlan) -> bool { | GraphOp::EdgePutBatch { .. } | GraphOp::EdgeDeleteBatch { .. } => true, // Guards and a TRUNCATE's edge share run only inside a Calvin - // transaction already. Label writes version no edge. + // transaction already. A label write versions no edge + // (`is_label_write` names it). GraphOp::NodeEdgeGuard { .. } | GraphOp::NodePresenceGuard { .. } | GraphOp::TruncateEdges { .. } @@ -64,19 +71,61 @@ pub fn is_edge_write(plan: &PhysicalPlan) -> bool { | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodePresenceRead { .. } => false, } } -/// Whether any task among `tasks` writes an edge. -pub fn writes_edges(tasks: &[PhysicalTask]) -> bool { - tasks.iter().any(|task| is_edge_write(&task.plan)) +/// Whether `plan` writes node labels. Exhaustive over `GraphOp`: a new graph +/// op is a compile error here. +pub fn is_label_write(plan: &PhysicalPlan) -> bool { + let PhysicalPlan::Graph(op) = plan else { + return false; + }; + match op { + GraphOp::SetNodeLabels { .. } | GraphOp::RemoveNodeLabels { .. } => true, + GraphOp::EdgePut { .. } + | GraphOp::EdgeDelete { .. } + | GraphOp::EdgePutBatch { .. } + | GraphOp::EdgeDeleteBatch { .. } + | GraphOp::NodeEdgeGuard { .. } + | GraphOp::NodePresenceGuard { .. } + | GraphOp::TruncateEdges { .. } + | GraphOp::ResolveEdgeDelete(_) + | GraphOp::Hop { .. } + | GraphOp::Neighbors { .. } + | GraphOp::NeighborsMulti { .. } + | GraphOp::Path { .. } + | GraphOp::Subgraph { .. } + | GraphOp::RagFusion { .. } + | GraphOp::Algo { .. } + | GraphOp::Match { .. } + | GraphOp::MatchContinuation { .. } + | GraphOp::MatchVarLenResume { .. } + | GraphOp::BspSuperstep(_) + | GraphOp::WccSuperstep(_) + | GraphOp::TemporalNeighbors { .. } + | GraphOp::Stats { .. } + | GraphOp::NodePresenceRead { .. } => false, + } +} + +/// Whether `plan` is a graph write that runs only as a Calvin transaction: +/// an edge write or a node-label write. +pub fn is_sequenced_graph_write(plan: &PhysicalPlan) -> bool { + is_edge_write(plan) || is_label_write(plan) +} + +/// Whether any task among `tasks` is a graph write that runs only as a +/// Calvin transaction. +pub fn writes_sequenced_graph(tasks: &[PhysicalTask]) -> bool { + tasks + .iter() + .any(|task| is_sequenced_graph_write(&task.plan)) } -/// One edge write and the scope it runs in. -pub struct EdgeWrite { +/// One edge or label write and the scope it runs in. +pub struct GraphWrite { pub tenant_id: TenantId, pub database_id: DatabaseId, /// The vShard the write was addressed to. The transaction's participants @@ -93,12 +142,12 @@ pub struct EdgeWrite { /// /// Returns a boxed future: the Calvin submit can reach a Raft propose seam /// that calls back here, and the box gives that cycle a finite size. -pub fn sequence_edge_write<'a>( +pub fn sequence_graph_write<'a>( state: &'a SharedState, - write: EdgeWrite, + write: GraphWrite, ) -> Pin> + Send + 'a>> { Box::pin(async move { - let EdgeWrite { + let GraphWrite { tenant_id, database_id, vshard_id, @@ -124,18 +173,20 @@ pub fn sequence_edge_write<'a>( }) } -/// Run the edge write `entry` carries as a Calvin transaction. `None` when -/// `entry` writes no edge: it keeps its Raft entry. -pub async fn sequence_replicated_edge_write( +/// Run the edge or label write `entry` carries as a Calvin transaction. +/// `None` when `entry` writes neither: it keeps its Raft entry. +pub async fn sequence_replicated_graph_write( state: &SharedState, entry: &ReplicatedEntry, ) -> crate::Result> { - let Some(plan) = crate::control::wal_replication::decode::edge_write_plan(&entry.write)? else { + let Some(plan) = + crate::control::wal_replication::decode::sequenced_graph_write_plan(&entry.write)? + else { return Ok(None); }; - let response = sequence_edge_write( + let response = sequence_graph_write( state, - EdgeWrite { + GraphWrite { tenant_id: TenantId::new(entry.tenant_id), database_id: DatabaseId::new(entry.database_id), vshard_id: VShardId::new(entry.vshard_id), @@ -161,14 +212,16 @@ mod tests { dst_id: "b".into(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, } } - /// Single and batched edge writes take the Calvin route. A guard, a - /// TRUNCATE share and a label write do not: they version no edge - /// outside a Calvin transaction. + /// Single and batched edge writes and label writes take the Calvin + /// route. A guard and a TRUNCATE share do not: they run only inside a + /// Calvin transaction already. #[test] - fn every_edge_write_and_only_an_edge_write_is_sequenced() { + fn every_edge_and_label_write_is_sequenced() { let put = PhysicalPlan::Graph(GraphOp::EdgePutBatch { edges: vec![batch_edge()], }); @@ -187,5 +240,13 @@ mod tests { }); assert!(!is_edge_write(&share)); assert!(!is_edge_write(&labels)); + assert!(is_sequenced_graph_write(&put)); + assert!(is_sequenced_graph_write(&labels)); + let unlabel = PhysicalPlan::Graph(GraphOp::RemoveNodeLabels { + node_id: "a".into(), + labels: vec!["L".into()], + }); + assert!(is_sequenced_graph_write(&unlabel)); + assert!(!is_sequenced_graph_write(&share)); } } diff --git a/nodedb/src/control/planner/calvin/mod.rs b/nodedb/src/control/planner/calvin/mod.rs index efd331f29..8a5043155 100644 --- a/nodedb/src/control/planner/calvin/mod.rs +++ b/nodedb/src/control/planner/calvin/mod.rs @@ -10,9 +10,9 @@ pub mod dependent_recon_plan; mod dependent_recon_predicate; pub mod dispatch; pub mod dispatch_multi; -pub mod edge_sequencing; pub mod edge_truncate; pub mod explain; +pub mod graph_sequencing; pub mod node_delete_txn; pub mod predicate; pub mod preexec; @@ -38,10 +38,11 @@ pub use dispatch::{ }; pub use dispatch_multi::dispatch_authorized_tasks_to_calvin; pub(crate) use dispatch_multi::{TxnProvenance, dispatch_strict_atomic_tasks_to_calvin}; -pub use edge_sequencing::{ - EdgeWrite, is_edge_write, sequence_edge_write, sequence_replicated_edge_write, writes_edges, -}; pub use explain::calvin_explain_preamble; +pub use graph_sequencing::{ + GraphWrite, is_edge_write, is_label_write, is_sequenced_graph_write, sequence_graph_write, + sequence_replicated_graph_write, writes_sequenced_graph, +}; pub use predicate::predicate_class_for_filters; pub use retry_loop::{DependentOutcome, DependentRetryArgs, run_dependent_with_retry}; pub use submit::{ diff --git a/nodedb/src/control/planner/calvin/submit/edge_slices.rs b/nodedb/src/control/planner/calvin/submit/edge_slices.rs index 23658f2bd..393dc60e7 100644 --- a/nodedb/src/control/planner/calvin/submit/edge_slices.rs +++ b/nodedb/src/control/planner/calvin/submit/edge_slices.rs @@ -140,6 +140,8 @@ mod tests { dst_id: dst, src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, } } diff --git a/nodedb/src/control/planner/calvin/tx_class/shared.rs b/nodedb/src/control/planner/calvin/tx_class/shared.rs index 5cdd4efa4..8bf9c0483 100644 --- a/nodedb/src/control/planner/calvin/tx_class/shared.rs +++ b/nodedb/src/control/planner/calvin/tx_class/shared.rs @@ -396,6 +396,8 @@ mod lockstep_tests { properties: Vec::new(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }); let (_, gate_keys) = plan_lock_keys(&plan).expect("a single-home edge is fast-path"); for node in [src, dst.as_str()] { diff --git a/nodedb/src/control/planner/calvin/tx_class/write_keys/graph.rs b/nodedb/src/control/planner/calvin/tx_class/write_keys/graph.rs index 58c935872..79f578a25 100644 --- a/nodedb/src/control/planner/calvin/tx_class/write_keys/graph.rs +++ b/nodedb/src/control/planner/calvin/tx_class/write_keys/graph.rs @@ -94,7 +94,6 @@ pub(super) fn add_keys(keys: &mut WriteKeys, op: &GraphOp) -> crate::Result<()> | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodePresenceRead { .. } => { return Err(not_a_write("a graph read")); diff --git a/nodedb/src/control/planner/calvin/tx_class/write_keys/plan.rs b/nodedb/src/control/planner/calvin/tx_class/write_keys/plan.rs index f56673983..3d76f76e4 100644 --- a/nodedb/src/control/planner/calvin/tx_class/write_keys/plan.rs +++ b/nodedb/src/control/planner/calvin/tx_class/write_keys/plan.rs @@ -188,6 +188,8 @@ mod tests { dst_id: dst.to_owned(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, } } @@ -442,6 +444,8 @@ mod tests { properties: Vec::new(), src_surrogate: edge.src_surrogate, dst_surrogate: edge.dst_surrogate, + valid_from_ms: None, + valid_until_ms: None, }) }) .collect(), @@ -482,6 +486,7 @@ mod tests { PhysicalPlan::Columnar(ColumnarOp::Delete { collection: qualified("col"), filters: Vec::new(), + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }), PhysicalPlan::Vector(VectorOp::SparseDelete { diff --git a/nodedb/src/control/planner/calvin/tx_class/write_keys/restore.rs b/nodedb/src/control/planner/calvin/tx_class/write_keys/restore.rs index f5ddf966b..7a9829544 100644 --- a/nodedb/src/control/planner/calvin/tx_class/write_keys/restore.rs +++ b/nodedb/src/control/planner/calvin/tx_class/write_keys/restore.rs @@ -5,18 +5,22 @@ //! A restored row locks what every point writer of the row locks: its //! surrogate and its row id. A restored edge version locks what every edge //! write locks: its surrogate pair and both endpoints' node lock pairs, on -//! both endpoint homes. So a restored write orders against every other -//! writer of the same row or edge, and against a node delete's guard. +//! both endpoint homes. Restored node labels lock what every label write of +//! the node locks. So a restored write orders against every other writer of +//! the same row, edge or node labels, and against a node delete's guard. use nodedb_physical::physical_plan::RestoredRedo; +use super::graph::NODE_LABEL_LOCKS; use super::plan::unsequenced; use super::set::WriteKeys; /// Add the write keys of the RESTORE batch `batch` to `keys`. pub(super) fn add_keys(keys: &mut WriteKeys, batch: &RestoredRedo) -> crate::Result<()> { - if batch.rows.is_empty() && batch.edges.is_empty() { - return Err(unsequenced("a RESTORE batch carries no row and no edge")); + if batch.rows.is_empty() && batch.edges.is_empty() && batch.node_labels.is_empty() { + return Err(unsequenced( + "a RESTORE batch carries no row, no edge and no node label", + )); } for row in &batch.rows { keys.rows(&row.collection, [row.surrogate]); @@ -30,5 +34,8 @@ pub(super) fn add_keys(keys: &mut WriteKeys, batch: &RestoredRedo) -> crate::Res (edge.src_surrogate, edge.dst_surrogate), ); } + for node in &batch.node_labels { + keys.node(NODE_LABEL_LOCKS, &node.node_id); + } Ok(()) } diff --git a/nodedb/src/control/planner/calvin/write_class.rs b/nodedb/src/control/planner/calvin/write_class.rs index 8f1471ec1..1d5be1a1f 100644 --- a/nodedb/src/control/planner/calvin/write_class.rs +++ b/nodedb/src/control/planner/calvin/write_class.rs @@ -234,7 +234,6 @@ fn graph_is_write(op: &GraphOp) -> bool { | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodePresenceRead { .. } => false, } @@ -608,6 +607,8 @@ mod tests { dst_id: "b".to_owned(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }; let plan = PhysicalPlan::Graph(GraphOp::EdgePutBatch { edges: vec![edge] }); assert!( @@ -625,6 +626,8 @@ mod tests { dst_id: "b".to_owned(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }; let plan = PhysicalPlan::Graph(GraphOp::EdgeDeleteBatch { edges: vec![edge] }); assert!( diff --git a/nodedb/src/control/planner/catalog_adapter/sql_catalog_impl.rs b/nodedb/src/control/planner/catalog_adapter/sql_catalog_impl.rs index 8fcf6a2cf..4a170dc9e 100644 --- a/nodedb/src/control/planner/catalog_adapter/sql_catalog_impl.rs +++ b/nodedb/src/control/planner/catalog_adapter/sql_catalog_impl.rs @@ -12,6 +12,11 @@ use super::adapter::OriginCatalog; use super::type_convert::convert_collection_type; impl SqlCatalog for OriginCatalog { + /// The built-in registry plus the user-defined CRSs of this catalog. + fn crs_context(&self) -> nodedb_crs::CrsContext<'_> { + crate::control::crs_context::catalog_crs_context(self.credentials.catalog()) + } + /// Resolve any relation name to planner metadata. Catalog tables /// (pg_class, information_schema.*, _system.*, etc.) are returned /// directly from the static schema registry without a catalog round-trip. @@ -355,6 +360,7 @@ impl SqlCatalog for OriginCatalog { a.dtype, ), nullable: a.nullable, + meta: crate::control::array_catalog::attr_meta::meta_ast(&a.meta), }) .collect(); diff --git a/nodedb/src/control/planner/context/query/context.rs b/nodedb/src/control/planner/context/query/context.rs index fb52dabb3..03c28b854 100644 --- a/nodedb/src/control/planner/context/query/context.rs +++ b/nodedb/src/control/planner/context/query/context.rs @@ -33,6 +33,11 @@ pub struct QueryContext { pub(super) array_catalog: Option, /// WAL allocator — required by array DML for `wal_lsn` allocation. pub(super) wal: Option>, + /// The node a statement's `AS OF SYSTEM TIME` cut is pinned against + /// (`statement_cut`). `None` before the node installs its gateway: a + /// cut then stays unpinned, and the Data Plane reads it at the last + /// ordinal of its millisecond. + pub(super) cut_state: Option>, /// The node's surrogate assigner. Every write the planner lowers binds /// its rows through it. pub(super) surrogate_assigner: Arc, @@ -130,6 +135,7 @@ impl QueryContext { // context can plan array DML. array_catalog: Some(state.array_catalog.clone()), wal: None, + cut_state: state.self_arc().ok().map(|shared| Arc::downgrade(&shared)), surrogate_assigner: Arc::clone(&state.surrogate_assigner), cluster_enabled: state.cluster_topology.is_some(), bitemporal_retention_registry: Some(Arc::clone(&state.bitemporal_retention_registry)), @@ -171,6 +177,7 @@ impl QueryContext { retention_registry: retention, array_catalog: Some(state.array_catalog.clone()), wal: Some(Arc::clone(&state.wal)), + cut_state: Some(Arc::downgrade(state)), surrogate_assigner: Arc::clone(&state.surrogate_assigner), cluster_enabled: state.cluster_topology.is_some(), bitemporal_retention_registry: Some(Arc::clone(&state.bitemporal_retention_registry)), diff --git a/nodedb/src/control/planner/context/query/mod.rs b/nodedb/src/control/planner/context/query/mod.rs index b0beaac2a..82b531985 100644 --- a/nodedb/src/control/planner/context/query/mod.rs +++ b/nodedb/src/control/planner/context/query/mod.rs @@ -5,6 +5,7 @@ mod convert_plans; mod functions; mod planning; mod planning_built; +mod statement_cut; mod tuning; pub use context::QueryContext; diff --git a/nodedb/src/control/planner/context/query/planning.rs b/nodedb/src/control/planner/context/query/planning.rs index f07c70203..ef1ea582d 100644 --- a/nodedb/src/control/planner/context/query/planning.rs +++ b/nodedb/src/control/planner/context/query/planning.rs @@ -271,6 +271,9 @@ impl QueryContext { .await?; self.apply_task_policy(&mut tasks, sec, tenant_id, &mut version_set) .await?; + let cache_eligibility = self + .pin_statement_cut(&mut tasks, purpose, cache_eligibility) + .await?; Ok((tasks, output_schema, version_set, cache_eligibility)) } @@ -361,6 +364,14 @@ impl QueryContext { let mut version_set = catalog.take_recorded_versions(); self.apply_task_policy(&mut tasks, sec, tenant_id, &mut version_set) .await?; + // A parameterized plan never enters a plan cache, so its verdict + // is not kept. + self.pin_statement_cut( + &mut tasks, + PlanningPurpose::Execute, + nodedb_sql::types::PlanCacheEligibility::DataDependent, + ) + .await?; Ok((tasks, output_schema, version_set)) } } diff --git a/nodedb/src/control/planner/context/query/planning_built.rs b/nodedb/src/control/planner/context/query/planning_built.rs index a12aff226..07c55bb3f 100644 --- a/nodedb/src/control/planner/context/query/planning_built.rs +++ b/nodedb/src/control/planner/context/query/planning_built.rs @@ -85,6 +85,13 @@ impl QueryContext { let mut version_set = catalog.take_recorded_versions(); self.apply_task_policy(&mut tasks, sec, tenant_id, &mut version_set) .await?; + // A built plan never enters a plan cache, so its verdict is not kept. + self.pin_statement_cut( + &mut tasks, + PlanningPurpose::Execute, + nodedb_sql::types::PlanCacheEligibility::DataDependent, + ) + .await?; Ok((tasks, output_schema, version_set)) } diff --git a/nodedb/src/control/planner/context/query/statement_cut.rs b/nodedb/src/control/planner/context/query/statement_cut.rs new file mode 100644 index 000000000..609a1c30a --- /dev/null +++ b/nodedb/src/control/planner/context/query/statement_cut.rs @@ -0,0 +1,40 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The per-statement `AS OF SYSTEM TIME` pin of [`QueryContext`]. + +use nodedb_physical::physical_task::PhysicalTask; +use nodedb_sql::types::PlanCacheEligibility; + +use super::QueryContext; +use crate::control::planner::sql_plan_convert::PlanningPurpose; +use crate::control::planner::system_cut::pin_statement_cuts; + +impl QueryContext { + /// Pin every `AS OF SYSTEM TIME` cut of one statement's `tasks` under + /// one read cut, and return the statement's cache verdict: a capped cut + /// depends on when the statement ran, so the statement is + /// `DataDependent`. + /// + /// Metadata tasks are never dispatched and take no cut. A context with + /// no booted node leaves the cuts unpinned. The Data Plane then reads + /// each at the last ordinal of its millisecond. + pub(super) async fn pin_statement_cut( + &self, + tasks: &mut [PhysicalTask], + purpose: PlanningPurpose, + eligibility: PlanCacheEligibility, + ) -> crate::Result { + if purpose == PlanningPurpose::Metadata { + return Ok(eligibility); + } + let Some(state) = self.cut_state.as_ref().and_then(|weak| weak.upgrade()) else { + return Ok(eligibility); + }; + let pinning = pin_statement_cuts(&state, tasks).await?; + Ok(if pinning.capped { + PlanCacheEligibility::DataDependent + } else { + eligibility + }) + } +} diff --git a/nodedb/src/control/planner/implicit_edges/insert.rs b/nodedb/src/control/planner/implicit_edges/insert.rs index ff2d9a4c2..fb96ac3d4 100644 --- a/nodedb/src/control/planner/implicit_edges/insert.rs +++ b/nodedb/src/control/planner/implicit_edges/insert.rs @@ -162,6 +162,9 @@ pub async fn append_implicit_edge_tasks( properties, src_surrogate, dst_surrogate, + // An implicit edge takes its write's own valid time. + valid_from_ms: None, + valid_until_ms: None, }), post_set_op: PostSetOp::None, txn_id: None, diff --git a/nodedb/src/control/planner/implicit_edges/routed.rs b/nodedb/src/control/planner/implicit_edges/routed.rs index 7f04b3025..0a0c8b801 100644 --- a/nodedb/src/control/planner/implicit_edges/routed.rs +++ b/nodedb/src/control/planner/implicit_edges/routed.rs @@ -140,6 +140,9 @@ pub(super) async fn push_edge_put( properties, src_surrogate, dst_surrogate, + // An implicit edge takes its write's own valid time. + valid_from_ms: None, + valid_until_ms: None, }), post_set_op: PostSetOp::None, txn_id: None, diff --git a/nodedb/src/control/planner/materialized_sum/cross_shard.rs b/nodedb/src/control/planner/materialized_sum/cross_shard.rs index 99d71b357..f6328ff8f 100644 --- a/nodedb/src/control/planner/materialized_sum/cross_shard.rs +++ b/nodedb/src/control/planner/materialized_sum/cross_shard.rs @@ -48,6 +48,7 @@ pub fn append_cross_shard_balance_tasks( ) -> crate::Result<()> { let schema_version = state.schema_version.current(); let catalog = state.credentials.catalog(); + let crs = crate::control::crs_context::crs_context_for(state); // Collected first so the immutable walk of `tasks` does not borrow-conflict // with the `&mut Vec` pushed into below — the same two-phase shape @@ -82,7 +83,7 @@ pub fn append_cross_shard_balance_tasks( if sum_target_is_co_resident(source, &binding.target_collection) { continue; } - for (join_value, delta) in crate::query::binding_insert_deltas(binding, &docs)? { + for (join_value, delta) in crate::query::binding_insert_deltas(binding, &docs, &crs)? { // A zero net delta leaves the stored total unchanged, so the // read-modify-write on the target would rewrite the row // byte-for-byte. Shipping a task for it would also make an diff --git a/nodedb/src/control/planner/materialized_sum/predicate.rs b/nodedb/src/control/planner/materialized_sum/predicate.rs index 033b34ec3..52cfd42e6 100644 --- a/nodedb/src/control/planner/materialized_sum/predicate.rs +++ b/nodedb/src/control/planner/materialized_sum/predicate.rs @@ -106,7 +106,8 @@ pub(super) async fn resolve_predicate_sum_targets( // Folded from the SAME scan the resolution came from: a second scan will // see a different snapshot, and two snapshots is two totals. - let images = predicate_images(&scope, &read.rows)?; + let crs = crate::control::crs_context::crs_context_for(state); + let images = predicate_images(&scope, &read.rows, &crs)?; let input = SettleInput { source_collection: &scope.collection, images: &images, @@ -115,6 +116,7 @@ pub(super) async fn resolve_predicate_sum_targets( // that JOINS the match set after the scan has to invalidate it too. source_row: None, read_version: read.read_version, + crs: &crs, }; let settlement = settle_cross_shard_images(&bindings, &input, &resolved, txn_id, tenant_id, database_id)?; @@ -131,6 +133,7 @@ pub(super) async fn resolve_predicate_sum_targets( fn predicate_images( scope: &PredicateScope, rows: &[serde_json::Value], + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result, Option)>> { let mut images = Vec::with_capacity(rows.len()); for row in rows { @@ -138,7 +141,11 @@ fn predicate_images( PredicateEffect::Remove => (Some(row.clone()), None), PredicateEffect::Assign => ( Some(row.clone()), - Some(crate::query::apply_update_assignments(row, &scope.updates)?), + Some(crate::query::apply_update_assignments( + row, + &scope.updates, + crs, + )?), ), }); } @@ -163,7 +170,13 @@ async fn resolve_scanned_rows( ) -> crate::Result> { let mut resolved = ResolvedTargets::new(); for binding in bindings.iter() { - for join_value in crate::query::binding_join_keys(binding, updates, rows)? { + let join_values = crate::query::binding_join_keys( + binding, + updates, + rows, + &crate::control::crs_context::crs_context_for(state), + )?; + for join_value in join_values { resolved .resolve(&binding.target_collection, join_value, async |v| { lookup_join_value(state, binding, v, tenant_id, database_id, trace_id) diff --git a/nodedb/src/control/planner/materialized_sum/resolve.rs b/nodedb/src/control/planner/materialized_sum/resolve.rs index 956e9a66d..d1c1c0972 100644 --- a/nodedb/src/control/planner/materialized_sum/resolve.rs +++ b/nodedb/src/control/planner/materialized_sum/resolve.rs @@ -144,6 +144,7 @@ pub async fn resolve_materialized_sum_targets( ); } let mut resolved = resolved.into_vec(); + let crs = crate::control::crs_context::crs_context_for(state); // Every row settles against the whole resolution, before any // shipped value leaves it. let mut settlements = Vec::with_capacity(stored.len()); @@ -155,6 +156,7 @@ pub async fn resolve_materialized_sum_targets( images: &images.images, source_row: Some(scope.surrogate), read_version: images.read_version, + crs: &crs, }; let mut settlement = settle_cross_shard_images( &bindings, diff --git a/nodedb/src/control/planner/materialized_sum/settle.rs b/nodedb/src/control/planner/materialized_sum/settle.rs index 6ecb7d014..d364b177b 100644 --- a/nodedb/src/control/planner/materialized_sum/settle.rs +++ b/nodedb/src/control/planner/materialized_sum/settle.rs @@ -93,6 +93,8 @@ pub(super) struct SettleInput<'a> { pub source_row: Option, /// Version the images were read at, on the source collection's vShard. pub read_version: nodedb_types::WriteVersion, + /// Resolves SRIDs in the binding's value expression. + pub crs: &'a nodedb_crs::CrsContext<'a>, } /// What settling produced. @@ -158,6 +160,7 @@ pub(super) fn settle_cross_shard_images( binding, old.as_ref(), new.as_ref(), + input.crs, )?); } for (join_value, delta) in crate::query::coalesce_binding_deltas(folded) { @@ -327,7 +330,9 @@ pub(super) fn co_resident_target_keys( continue; } for (old, new) in input.images { - for entry in crate::query::binding_image_deltas(binding, old.as_ref(), new.as_ref())? { + for entry in + crate::query::binding_image_deltas(binding, old.as_ref(), new.as_ref(), input.crs)? + { let key = SumTargetKey::new(&binding.target_collection, entry.join_value); if !keep.contains(&key) { keep.push(key); @@ -403,6 +408,7 @@ mod tests { images: &images, source_row: Some(Surrogate::new(11)), read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; let settlement = settle_cross_shard_images( &[binding(&target)], @@ -438,6 +444,7 @@ mod tests { images: &images, source_row: Some(Surrogate::new(11)), read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; let settlement = settle_cross_shard_images( &[binding(&target)], @@ -478,6 +485,7 @@ mod tests { images: &images, source_row: Some(Surrogate::new(11)), read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; let settlement = settle_cross_shard_images( &[binding(&target)], @@ -502,6 +510,7 @@ mod tests { images: &images, source_row: Some(Surrogate::new(11)), read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; let settlement = settle_cross_shard_images( &[binding(&target)], @@ -530,6 +539,7 @@ mod tests { images: &images, source_row: Some(Surrogate::new(11)), read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; // A binding whose target IS the source collection is co-resident by // construction, whatever the hash function does. @@ -559,6 +569,7 @@ mod tests { images: &images, source_row: Some(Surrogate::new(11)), read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; let settlement = settle_cross_shard_images( &[binding(&target)], @@ -596,6 +607,7 @@ mod tests { images: &images, source_row: None, read_version: nodedb_types::WriteVersion::logged(3, 42), + crs: &nodedb_crs::CrsContext::builtin_only(), }; let settlement = settle_cross_shard_images( &[binding(&target)], diff --git a/nodedb/src/control/planner/materialized_sum/stored.rs b/nodedb/src/control/planner/materialized_sum/stored.rs index 1d490dbe4..69ca97796 100644 --- a/nodedb/src/control/planner/materialized_sum/stored.rs +++ b/nodedb/src/control/planner/materialized_sum/stored.rs @@ -251,7 +251,11 @@ pub(super) async fn extend_with_stored_row( .await?; let outcome = StoredImages { - images: images_of(scope, read.rows.as_ref())?, + images: images_of( + scope, + read.rows.as_ref(), + &crate::control::crs_context::crs_context_for(state), + )?, read_version: read.read_version, }; @@ -280,7 +284,13 @@ pub(super) async fn extend_with_stored_row( // column and name different targets each keep their own entry. // `ResolvedTargets` enforces the dedupe. for binding in bindings.iter() { - for join_value in crate::query::binding_join_keys(binding, &[], &rows)? { + let join_values = crate::query::binding_join_keys( + binding, + &[], + &rows, + &crate::control::crs_context::crs_context_for(state), + )?; + for join_value in join_values { resolved .resolve(&binding.target_collection, join_value, async |v| { lookup_join_value(state, binding, v, tenant_id, database_id, trace_id) @@ -300,9 +310,10 @@ pub(super) async fn extend_with_stored_row( fn images_of( scope: &StoredRowScope<'_>, stored: Option<&serde_json::Value>, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result, Option)>> { let assigned = - |old: &serde_json::Value| crate::query::apply_update_assignments(old, scope.updates); + |old: &serde_json::Value| crate::query::apply_update_assignments(old, scope.updates, crs); Ok(match (&scope.post_image, stored) { (PostImage::Removed, Some(old)) => vec![(Some(old.clone()), None)], (PostImage::Assigned, Some(old)) => vec![(Some(old.clone()), Some(assigned(old)?))], @@ -326,6 +337,7 @@ fn images_of( old, &submitted, scope.updates, + crs, )?), )] } @@ -530,7 +542,12 @@ mod tests { ); let scope = stored_row_scope(&op, None).expect("an upsert names its stored row"); let stored = serde_json::json!({"account_id": "acc-1", "amount": 25}); - let images = images_of(&scope, Some(&stored)).expect("images"); + let images = images_of( + &scope, + Some(&stored), + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("images"); assert_eq!(images.len(), 1); assert_eq!(images[0].0.as_ref(), Some(&stored)); @@ -545,7 +562,12 @@ mod tests { let op = upsert_with(body("acc-1", 60), Vec::new()); let scope = stored_row_scope(&op, None).expect("an upsert names its stored row"); let stored = serde_json::json!({"account_id": "acc-1", "amount": 25, "memo": "kept"}); - let images = images_of(&scope, Some(&stored)).expect("images"); + let images = images_of( + &scope, + Some(&stored), + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("images"); assert_eq!(amount_of(images[0].1.as_ref()), Some(60)); assert_eq!( @@ -573,7 +595,12 @@ mod tests { ); let scope = stored_row_scope(&op, None).expect("an upsert names its stored row"); let stored = serde_json::json!({"account_id": "acc-1", "amount": 25}); - let images = images_of(&scope, Some(&stored)).expect("images"); + let images = images_of( + &scope, + Some(&stored), + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("images"); assert_eq!( images[0] @@ -595,7 +622,8 @@ mod tests { vec![("amount".to_string(), excluded("amount"))], ); let scope = stored_row_scope(&op, None).expect("an upsert names its stored row"); - let images = images_of(&scope, None).expect("images"); + let images = + images_of(&scope, None, &nodedb_crs::CrsContext::builtin_only()).expect("images"); assert_eq!(images.len(), 1); assert!(images[0].0.is_none(), "an insert has no pre-image"); @@ -619,7 +647,12 @@ mod tests { }; let scope = stored_row_scope(&op, None).expect("a put names its stored row"); let stored = serde_json::json!({"account_id": "acc-1", "amount": 25}); - let images = images_of(&scope, Some(&stored)).expect("images"); + let images = images_of( + &scope, + Some(&stored), + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("images"); assert_eq!(images[0].0.as_ref(), Some(&stored)); assert_eq!(amount_of(images[0].1.as_ref()), Some(60)); diff --git a/nodedb/src/control/planner/mod.rs b/nodedb/src/control/planner/mod.rs index a37045775..f2bc3d35f 100644 --- a/nodedb/src/control/planner/mod.rs +++ b/nodedb/src/control/planner/mod.rs @@ -14,4 +14,5 @@ pub mod procedural; pub mod redaction_refusal; pub mod rls_injection; pub mod sql_plan_convert; +pub mod system_cut; pub mod wasm; diff --git a/nodedb/src/control/planner/period_lock/point_update.rs b/nodedb/src/control/planner/period_lock/point_update.rs index 7cbb8245c..9144dd7ca 100644 --- a/nodedb/src/control/planner/period_lock/point_update.rs +++ b/nodedb/src/control/planner/period_lock/point_update.rs @@ -38,7 +38,11 @@ pub(super) async fn resolve_update_period_values( let Some(old_row) = read.rows else { return Ok(Vec::new()); }; - let new_row = crate::query::apply_update_assignments(&old_row, updates)?; + let new_row = crate::query::apply_update_assignments( + &old_row, + updates, + &crate::control::crs_context::crs_context_for(scope.state), + )?; // `ResolvedTargets` dedupes on `(target, value)` itself, so the old and // new images resolve through the same call whether or not they carry the diff --git a/nodedb/src/control/planner/period_lock/predicate.rs b/nodedb/src/control/planner/period_lock/predicate.rs index 2855b9bdf..1e9a64fcd 100644 --- a/nodedb/src/control/planner/period_lock/predicate.rs +++ b/nodedb/src/control/planner/period_lock/predicate.rs @@ -53,7 +53,11 @@ pub(super) async fn resolve_predicate_period_values( for row in &read.rows { resolve_period_value(scope, def, row, &mut resolved).await?; if matches!(effect, PeriodLockEffect::Assign) { - let new_row = crate::query::apply_update_assignments(row, updates)?; + let new_row = crate::query::apply_update_assignments( + row, + updates, + &crate::control::crs_context::crs_context_for(scope.state), + )?; resolve_period_value(scope, def, &new_row, &mut resolved).await?; } } diff --git a/nodedb/src/control/planner/plan_children/document.rs b/nodedb/src/control/planner/plan_children/document.rs index d97f92dbf..d465d84e0 100644 --- a/nodedb/src/control/planner/plan_children/document.rs +++ b/nodedb/src/control/planner/plan_children/document.rs @@ -35,3 +35,35 @@ pub(super) fn child(op: &DocumentOp) -> Option<&PhysicalPlan> { | DocumentOp::ResolvedWrite { .. } => None, } } + +/// The child plan `op` reads its rows from, if any, mutable. +pub(super) fn child_mut(op: &mut DocumentOp) -> Option<&mut PhysicalPlan> { + match op { + DocumentOp::InsertSelect { source, .. } + | DocumentOp::Merge { source, .. } + | DocumentOp::UpdateFromJoin { source, .. } => source.query_plan_mut(), + DocumentOp::ResolveWrite(inner) => child_mut(inner), + DocumentOp::PointGet { .. } + | DocumentOp::PointPut { .. } + | DocumentOp::PointInsert { .. } + | DocumentOp::PointDelete { .. } + | DocumentOp::PointUpdate { .. } + | DocumentOp::Scan { .. } + | DocumentOp::BatchInsert { .. } + | DocumentOp::RangeScan { .. } + | DocumentOp::Register { .. } + | DocumentOp::IndexLookup { .. } + | DocumentOp::IndexedFetch { .. } + | DocumentOp::DropIndex { .. } + | DocumentOp::BackfillIndex { .. } + | DocumentOp::Truncate { .. } + | DocumentOp::EstimateCount { .. } + | DocumentOp::Upsert { .. } + | DocumentOp::BatchUpsert { .. } + | DocumentOp::BulkUpdate { .. } + | DocumentOp::BulkDelete { .. } + | DocumentOp::MaterializeScan { .. } + | DocumentOp::ApplyBalanceDelta { .. } + | DocumentOp::ResolvedWrite { .. } => None, + } +} diff --git a/nodedb/src/control/planner/plan_children/mod.rs b/nodedb/src/control/planner/plan_children/mod.rs index 962edf6d9..bb9701069 100644 --- a/nodedb/src/control/planner/plan_children/mod.rs +++ b/nodedb/src/control/planner/plan_children/mod.rs @@ -6,5 +6,7 @@ mod document; mod query; mod vector; mod walk; +mod walk_mut; pub use walk::children; +pub use walk_mut::children_mut; diff --git a/nodedb/src/control/planner/plan_children/query.rs b/nodedb/src/control/planner/plan_children/query.rs index bbce07040..67e738a75 100644 --- a/nodedb/src/control/planner/plan_children/query.rs +++ b/nodedb/src/control/planner/plan_children/query.rs @@ -50,3 +50,50 @@ pub(super) fn children(op: &QueryOp) -> Vec<&PhysicalPlan> { | QueryOp::RecursiveValue { .. } => Vec::new(), } } + +/// The child plans `op` reads its rows from, mutable. +pub(super) fn children_mut(op: &mut QueryOp) -> Vec<&mut PhysicalPlan> { + match op { + QueryOp::Exchange(exchange) => vec![&mut *exchange.child], + QueryOp::PostProcess { input, .. } => vec![&mut **input], + QueryOp::SetOp { inputs, .. } => inputs.iter_mut().collect(), + QueryOp::Aggregate { input, .. } | QueryOp::PartialAggregateState { input, .. } => { + input.iter_mut().map(|child| &mut **child).collect() + } + QueryOp::HashJoin { + left_input, + right_input, + left_bitmap, + right_bitmap, + .. + } => [left_input, right_input, left_bitmap, right_bitmap] + .into_iter() + .flatten() + .map(|child| &mut **child) + .collect(), + QueryOp::NestedLoopJoin { + left_input, + right_input, + .. + } + | QueryOp::SortMergeJoin { + left_input, + right_input, + .. + } => [left_input, right_input] + .into_iter() + .flatten() + .map(|child| &mut **child) + .collect(), + QueryOp::LateralTopK { outer_plan, .. } | QueryOp::LateralLoop { outer_plan, .. } => { + vec![&mut **outer_plan] + } + QueryOp::ProviderScan { .. } + | QueryOp::PartialAggregate { .. } + | QueryOp::ShuffleJoinConsume { .. } + | QueryOp::ShuffleAggregateConsume { .. } + | QueryOp::FacetCounts { .. } + | QueryOp::RecursiveScan { .. } + | QueryOp::RecursiveValue { .. } => Vec::new(), + } +} diff --git a/nodedb/src/control/planner/plan_children/vector.rs b/nodedb/src/control/planner/plan_children/vector.rs index f2f8a6bf3..84fbfa9cd 100644 --- a/nodedb/src/control/planner/plan_children/vector.rs +++ b/nodedb/src/control/planner/plan_children/vector.rs @@ -40,3 +40,41 @@ pub(super) fn vector_child(op: &VectorOp) -> Option<&PhysicalPlan> { | VectorOp::ResolvedDirectWrite { .. } => None, } } + +/// The resolved sub-plan a vector search takes its prefilter from, if any, +/// mutable. +pub(super) fn vector_child_mut(op: &mut VectorOp) -> Option<&mut PhysicalPlan> { + match op { + VectorOp::Search { + inline_prefilter_plan: Some(child), + .. + } => Some(child), + VectorOp::ResolveDirectWrite(inner) => vector_child_mut(inner), + VectorOp::Search { .. } + | VectorOp::Insert { .. } + | VectorOp::BatchInsert { .. } + | VectorOp::MultiSearch { .. } + | VectorOp::Delete { .. } + | VectorOp::DeleteBySurrogate { .. } + | VectorOp::SetParams { .. } + | VectorOp::DropIndex { .. } + | VectorOp::QueryStats { .. } + | VectorOp::Seal { .. } + | VectorOp::CompactIndex { .. } + | VectorOp::Rebuild { .. } + | VectorOp::SparseInsert { .. } + | VectorOp::SparseSearch { .. } + | VectorOp::SparseDelete { .. } + | VectorOp::MultiVectorInsert { .. } + | VectorOp::MultiVectorDelete { .. } + | VectorOp::MultiVectorScoreSearch { .. } + | VectorOp::DirectUpsert { .. } + | VectorOp::DirectInsert { .. } + | VectorOp::DirectInsertIfAbsent { .. } + | VectorOp::DirectBatchWrite { .. } + | VectorOp::DirectDelete { .. } + | VectorOp::DirectTruncate { .. } + | VectorOp::DirectUpdate { .. } + | VectorOp::ResolvedDirectWrite { .. } => None, + } +} diff --git a/nodedb/src/control/planner/plan_children/walk_mut.rs b/nodedb/src/control/planner/plan_children/walk_mut.rs new file mode 100644 index 000000000..4e1c2036c --- /dev/null +++ b/nodedb/src/control/planner/plan_children/walk_mut.rs @@ -0,0 +1,29 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The plans a plan reads its rows from, one level down, for an in-place +//! rewrite. + +use nodedb_physical::physical_plan::PhysicalPlan; + +use super::{document, query, vector}; + +/// The plans whose rows `plan` reads, mutable. Exhaustive over +/// [`PhysicalPlan`], and the same plans [`super::children`] names. +pub fn children_mut(plan: &mut PhysicalPlan) -> Vec<&mut PhysicalPlan> { + match plan { + PhysicalPlan::Query(op) => query::children_mut(op), + PhysicalPlan::Document(op) => document::child_mut(op).into_iter().collect(), + PhysicalPlan::Vector(op) => vector::vector_child_mut(op).into_iter().collect(), + PhysicalPlan::Graph(_) + | PhysicalPlan::Kv(_) + | PhysicalPlan::Text(_) + | PhysicalPlan::Columnar(_) + | PhysicalPlan::Timeseries(_) + | PhysicalPlan::Spatial(_) + | PhysicalPlan::Crdt(_) + | PhysicalPlan::Meta(_) + | PhysicalPlan::Array(_) + | PhysicalPlan::ClusterArray(_) + | PhysicalPlan::ClusterEvent(_) => Vec::new(), + } +} diff --git a/nodedb/src/control/planner/redaction_refusal/graph.rs b/nodedb/src/control/planner/redaction_refusal/graph.rs index b41005164..43f4b6305 100644 --- a/nodedb/src/control/planner/redaction_refusal/graph.rs +++ b/nodedb/src/control/planner/redaction_refusal/graph.rs @@ -44,7 +44,6 @@ pub(super) fn refuse_graph_op(op: &GraphOp, ctx: &RefusalCtx<'_>) -> crate::Resu | GraphOp::ResolveEdgeDelete(_) | GraphOp::RagFusion { .. } | GraphOp::Algo { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::SetNodeLabels { .. } diff --git a/nodedb/src/control/planner/redaction_refusal/plan.rs b/nodedb/src/control/planner/redaction_refusal/plan.rs index a6372fbb2..4413ed4b0 100644 --- a/nodedb/src/control/planner/redaction_refusal/plan.rs +++ b/nodedb/src/control/planner/redaction_refusal/plan.rs @@ -581,6 +581,7 @@ mod tests { edge_labels: Vec::new(), direction: nodedb_types::graph::Direction::Out, rls_filters: Vec::new(), + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }); assert_refused(check(&plan, &store, "support")); assert!(check(&plan, &store, "analyst").is_ok()); @@ -606,6 +607,7 @@ mod tests { query: zerompk::to_msgpack_vec(&query).expect("encode match query"), frontier_bitmap: None, cluster_mode: false, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }); assert_refused(check(&refused, &store, "support")); @@ -614,6 +616,7 @@ mod tests { query: zerompk::to_msgpack_vec(&query).expect("encode match query"), frontier_bitmap: None, cluster_mode: false, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }); assert!(check(&allowed, &store, "support").is_ok()); } @@ -639,6 +642,7 @@ mod tests { query: zerompk::to_msgpack_vec(&query).expect("encode match query"), frontier_bitmap: None, cluster_mode: false, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }); assert_refused(check(&plan, &store, "support")); assert!(check(&plan, &store, "analyst").is_ok()); diff --git a/nodedb/src/control/planner/rls_injection/columnar.rs b/nodedb/src/control/planner/rls_injection/columnar.rs index 64fce4f61..7017d982a 100644 --- a/nodedb/src/control/planner/rls_injection/columnar.rs +++ b/nodedb/src/control/planner/rls_injection/columnar.rs @@ -186,6 +186,7 @@ mod tests { schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), returning: None, rls_filters: Vec::new(), @@ -200,6 +201,7 @@ mod tests { ), filters: Vec::new(), updates: Vec::new(), + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }) } @@ -211,6 +213,8 @@ mod tests { collection, ), restart_identity: false, + system_from: None, + erase_history: false, }) } @@ -349,6 +353,7 @@ mod tests { schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), returning: None, rls_filters: Vec::new(), @@ -378,6 +383,7 @@ mod tests { schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), returning: None, rls_filters: Vec::new(), @@ -405,6 +411,7 @@ mod tests { "events", ), filters: Vec::new(), + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }); assert!(inject(&mut delete, &store).is_ok()); diff --git a/nodedb/src/control/planner/rls_injection/context.rs b/nodedb/src/control/planner/rls_injection/context.rs index 55f3cdace..67362f224 100644 --- a/nodedb/src/control/planner/rls_injection/context.rs +++ b/nodedb/src/control/planner/rls_injection/context.rs @@ -29,6 +29,11 @@ pub(super) struct RlsCtx<'a> { } impl RlsCtx<'_> { + /// The CRS context write predicates resolve SRIDs against. + fn crs(&self) -> nodedb_crs::CrsContext<'_> { + crate::control::crs_context::catalog_crs_context(self.catalog) + } + /// The concrete read filters for `collection`; empty when no policy /// restricts this identity. pub(super) fn read_filters( @@ -112,6 +117,7 @@ impl RlsCtx<'_> { image, self.tenant_id, collection.as_str(), + &self.crs(), ) } @@ -147,6 +153,7 @@ impl RlsCtx<'_> { &with_id, self.tenant_id, collection.as_str(), + &self.crs(), ) } @@ -196,6 +203,7 @@ impl RlsCtx<'_> { image, self.tenant_id, collection.as_str(), + &self.crs(), ) } @@ -238,6 +246,7 @@ impl RlsCtx<'_> { &bytes, self.tenant_id, collection.as_str(), + &self.crs(), ) } @@ -278,6 +287,7 @@ impl RlsCtx<'_> { &image, self.tenant_id, collection.as_str(), + &self.crs(), )?; } // Decided here, with a live identity, against the exact images carried. diff --git a/nodedb/src/control/planner/rls_injection/document.rs b/nodedb/src/control/planner/rls_injection/document.rs index 9e2d2e8c0..359565847 100644 --- a/nodedb/src/control/planner/rls_injection/document.rs +++ b/nodedb/src/control/planner/rls_injection/document.rs @@ -253,7 +253,7 @@ mod tests { collection, ), filters: Vec::new(), - system_as_of_ms: None, + system_time: nodedb_types::SystemTimeScope::Current, offset: 0, limit: None, column_map: Vec::new(), @@ -651,7 +651,7 @@ mod tests { projection: Vec::new(), limit: 0, offset: 0, - system_as_of_ms: None, + system_time: nodedb_types::SystemTimeScope::Current, }) } diff --git a/nodedb/src/control/planner/rls_injection/graph.rs b/nodedb/src/control/planner/rls_injection/graph.rs index 210d12d12..3bcc7c7d0 100644 --- a/nodedb/src/control/planner/rls_injection/graph.rs +++ b/nodedb/src/control/planner/rls_injection/graph.rs @@ -51,11 +51,10 @@ pub(super) fn inject_graph(ctx: &RlsCtx<'_>, op: &mut GraphOp) -> crate::Result< // Refuse: runs over the whole CSR, returns scalars derived from // every row (including hidden ones), no row to filter. `params.collection` // is bare (from `nodedb-graph`) — qualify before the lookup. - GraphOp::Algo { params, .. } | GraphOp::TemporalAlgorithm { params, .. } => ctx - .refuse_if_policy( - &nodedb_types::QualifiedCollection::new(ctx.database_id, ¶ms.collection), - ALGORITHM_REASON, - ), + GraphOp::Algo { params, .. } => ctx.refuse_if_policy( + &nodedb_types::QualifiedCollection::new(ctx.database_id, ¶ms.collection), + ALGORITHM_REASON, + ), // Refuse: same algorithm, one round at a time. GraphOp::BspSuperstep(plan) => ctx.refuse_if_policy( @@ -182,6 +181,7 @@ mod tests { personalization_vector: None, }, stage: nodedb_physical::physical_plan::AlgoStage::Local, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } @@ -199,6 +199,7 @@ mod tests { query: zerompk::to_msgpack_vec(&query).expect("encode match query"), frontier_bitmap: None, cluster_mode: false, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } @@ -262,6 +263,8 @@ mod tests { properties, src_surrogate: nodedb_types::Surrogate::new(1), dst_surrogate: nodedb_types::Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }) } diff --git a/nodedb/src/control/planner/rls_injection/meta.rs b/nodedb/src/control/planner/rls_injection/meta.rs index 8155bdac1..f8457ef37 100644 --- a/nodedb/src/control/planner/rls_injection/meta.rs +++ b/nodedb/src/control/planner/rls_injection/meta.rs @@ -90,6 +90,7 @@ pub(super) fn inject_meta(ctx: &RlsCtx<'_>, op: &mut MetaOp) -> crate::Result<() | MetaOp::AwaitContinuousAggregateRefresh { .. } | MetaOp::ConvertCollection { .. } | MetaOp::RestoreTenantSnapshot { .. } + | MetaOp::PurgeDepartedVShards { .. } | MetaOp::PurgeTenant { .. } | MetaOp::UnregisterCollection { .. } | MetaOp::UnregisterMaterializedView { .. } @@ -105,6 +106,7 @@ pub(super) fn inject_meta(ctx: &RlsCtx<'_>, op: &mut MetaOp) -> crate::Result<() | MetaOp::RebuildIndex { .. } | MetaOp::PutSynonymGroup { .. } | MetaOp::DeleteSynonymGroup { .. } + | MetaOp::SetCustomCrsSet { .. } | MetaOp::DropTxnOverlay { .. } | MetaOp::MarkSavepoint { .. } | MetaOp::RollbackToSavepoint { .. } diff --git a/nodedb/src/control/planner/rls_injection/permission_tree/graph.rs b/nodedb/src/control/planner/rls_injection/permission_tree/graph.rs index 42153272b..f6d8a49e6 100644 --- a/nodedb/src/control/planner/rls_injection/permission_tree/graph.rs +++ b/nodedb/src/control/planner/rls_injection/permission_tree/graph.rs @@ -52,11 +52,10 @@ pub(super) fn apply_graph(ctx: &PermCtx<'_>, op: &GraphOp) -> crate::Result<()> // every row (including ones outside the subtree), no column to // filter. `AlgoParams` comes from `nodedb-graph` and carries a bare // name — qualify it against this task's database before the lookup. - GraphOp::Algo { params, .. } | GraphOp::TemporalAlgorithm { params, .. } => ctx - .refuse_if_tree( - &nodedb_types::QualifiedCollection::new(ctx.database_id, ¶ms.collection), - ALGORITHM_REASON, - ), + GraphOp::Algo { params, .. } => ctx.refuse_if_tree( + &nodedb_types::QualifiedCollection::new(ctx.database_id, ¶ms.collection), + ALGORITHM_REASON, + ), // Refuse: the distributed supersteps are the same algorithms one round // at a time, carrying the target collection in their params. @@ -159,6 +158,7 @@ mod tests { edge_labels: Vec::new(), direction: nodedb_types::graph::Direction::Out, rls_filters: Vec::new(), + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } @@ -210,6 +210,7 @@ mod tests { personalization_vector: None, }, stage: nodedb_physical::physical_plan::AlgoStage::Local, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }); assert_refused(apply(&mut plan, &cache), "docs"); } diff --git a/nodedb/src/control/planner/rls_injection/permission_tree/meta.rs b/nodedb/src/control/planner/rls_injection/permission_tree/meta.rs index 45317e9f0..d04e61cca 100644 --- a/nodedb/src/control/planner/rls_injection/permission_tree/meta.rs +++ b/nodedb/src/control/planner/rls_injection/permission_tree/meta.rs @@ -89,6 +89,7 @@ pub(super) fn apply_meta(ctx: &PermCtx<'_>, op: &mut MetaOp) -> crate::Result<() | MetaOp::AwaitContinuousAggregateRefresh { .. } | MetaOp::ConvertCollection { .. } | MetaOp::RestoreTenantSnapshot { .. } + | MetaOp::PurgeDepartedVShards { .. } | MetaOp::PurgeTenant { .. } | MetaOp::UnregisterCollection { .. } | MetaOp::UnregisterMaterializedView { .. } @@ -104,6 +105,7 @@ pub(super) fn apply_meta(ctx: &PermCtx<'_>, op: &mut MetaOp) -> crate::Result<() | MetaOp::RebuildIndex { .. } | MetaOp::PutSynonymGroup { .. } | MetaOp::DeleteSynonymGroup { .. } + | MetaOp::SetCustomCrsSet { .. } | MetaOp::DropTxnOverlay { .. } | MetaOp::MarkSavepoint { .. } | MetaOp::RollbackToSavepoint { .. } diff --git a/nodedb/src/control/planner/rls_injection/plan.rs b/nodedb/src/control/planner/rls_injection/plan.rs index 12395ca1d..10f9460c4 100644 --- a/nodedb/src/control/planner/rls_injection/plan.rs +++ b/nodedb/src/control/planner/rls_injection/plan.rs @@ -341,6 +341,7 @@ mod tests { bm25_query: None, bm25_field: None, stage: nodedb_physical::physical_plan::RagStage::Local, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } diff --git a/nodedb/src/control/planner/sql_plan_convert/array_alter_convert.rs b/nodedb/src/control/planner/sql_plan_convert/array_alter_convert.rs index e8e141f60..84409af01 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_alter_convert.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_alter_convert.rs @@ -10,6 +10,7 @@ use nodedb_sql::AlterArrayVisitArgs; use crate::bridge::envelope::PhysicalPlan; use crate::control::array_catalog::ArrayCatalogEntry; +use crate::control::array_catalog::attr_meta::remeta_schema; use crate::control::array_catalog::georef::regeoref_schema; use crate::control::array_catalog::retention::check_retention_floor; use crate::types::TenantId; @@ -25,8 +26,9 @@ use nodedb_physical::physical_task::{PhysicalTask, PostSetOp}; /// - `Some(None)` = key present with value `NULL` → unregister. /// - `Some(Some(v))` = key present with value `v` → update. /// -/// A georef change re-encodes the schema. Its content bytes stay equal, so -/// `schema_hash`, segments, and the Data Plane open check stay valid. +/// A georef or attr metadata change re-encodes the schema. Its content bytes +/// stay equal, so `schema_hash`, segments, and the Data Plane open check stay +/// valid. pub(super) fn convert_alter_array( args: AlterArrayVisitArgs<'_>, tenant_id: TenantId, @@ -37,6 +39,7 @@ pub(super) fn convert_alter_array( audit_retain_ms, minimum_audit_retain_ms, georef, + attr_meta, } = args; ctx.require_execute("ALTER ARRAY")?; let array_catalog = ctx @@ -65,11 +68,19 @@ pub(super) fn convert_alter_array( minimum_audit_retain_ms.map(Some), )?; - // 3. Re-encode the schema for a georef change. + // 3. Re-encode the schema for a georef or attr metadata change. One + // statement makes one change, so at most one applies. let statement = format!("ALTER ARRAY {name}"); - let schema_msgpack = georef - .map(|change| regeoref_schema(&statement, ¤t.schema_msgpack, change)) - .transpose()?; + let schema_msgpack = match (georef, attr_meta) { + (Some(change), _) => Some(regeoref_schema( + &statement, + ¤t.schema_msgpack, + change, + &ctx.crs_context(), + )?), + (None, Some(change)) => Some(remeta_schema(&statement, ¤t.schema_msgpack, change)?), + (None, None) => None, + }; let vshard = ctx.collection_key(name).vshard(); Ok(vec![PhysicalTask { diff --git a/nodedb/src/control/planner/sql_plan_convert/array_convert/attr_type.rs b/nodedb/src/control/planner/sql_plan_convert/array_convert/attr_type.rs index f6438f376..7dbf19c87 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_convert/attr_type.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_convert/attr_type.rs @@ -18,6 +18,7 @@ pub(crate) fn engine_attr_type(t: ArrayAttrType) -> AttrType { ArrayAttrType::Int32 => AttrType::Int32, ArrayAttrType::UInt32 => AttrType::UInt32, ArrayAttrType::Float32 => AttrType::Float32, + ArrayAttrType::Int8 => AttrType::Int8, } } @@ -34,6 +35,7 @@ pub(crate) fn sql_attr_type(t: AttrType) -> ArrayAttrType { AttrType::Int32 => ArrayAttrType::Int32, AttrType::UInt32 => ArrayAttrType::UInt32, AttrType::Float32 => ArrayAttrType::Float32, + AttrType::Int8 => ArrayAttrType::Int8, } } @@ -54,6 +56,7 @@ mod tests { ArrayAttrType::Int32, ArrayAttrType::UInt32, ArrayAttrType::Float32, + ArrayAttrType::Int8, ]; for t in all { assert_eq!(sql_attr_type(engine_attr_type(t)), t); diff --git a/nodedb/src/control/planner/sql_plan_convert/array_convert/ddl.rs b/nodedb/src/control/planner/sql_plan_convert/array_convert/ddl.rs index 9acd32f4d..8fe502142 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_convert/ddl.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_convert/ddl.rs @@ -19,7 +19,9 @@ use nodedb_sql::types_array::{ use crate::bridge::envelope::PhysicalPlan; use crate::control::array_catalog::ArrayCatalogEntry; -use crate::control::array_catalog::georef::{georef_from_ast, schema_error}; +use crate::control::array_catalog::attr_meta::meta_from_ast; +use crate::control::array_catalog::georef::georef_from_ast; +use crate::control::array_catalog::schema_recode::schema_error; use crate::types::TenantId; use nodedb_physical::physical_plan::ArrayOp; @@ -88,6 +90,7 @@ pub(in super::super) fn convert_create_array( cell_order, tile_order, georef, + crs: &ctx.crs_context(), })?; // 2. Encode + hash. @@ -96,7 +99,10 @@ pub(in super::super) fn convert_create_array( format: "msgpack".into(), detail: format!("array schema encode: {e}"), })?; - let schema_hash = stable_schema_hash(&schema.content_msgpack()); + let content = schema + .content_msgpack() + .map_err(|e| schema_error(&format!("CREATE ARRAY {name}"), e))?; + let schema_hash = stable_schema_hash(&content); // Retention is carried as `u64` from the parser and stored signed, because // downstream it is subtracted from a wall-clock millisecond @@ -212,6 +218,7 @@ pub(super) struct SchemaParts<'a> { pub cell_order: ArrayCellOrderAst, pub tile_order: ArrayTileOrderAst, pub georef: Option<&'a ArrayGeorefAst>, + pub crs: &'a nodedb_crs::CrsContext<'a>, } pub(super) fn build_schema(parts: SchemaParts<'_>) -> crate::Result> { @@ -223,6 +230,7 @@ pub(super) fn build_schema(parts: SchemaParts<'_>) -> crate::Result = dims .iter() @@ -240,14 +248,16 @@ pub(super) fn build_schema(parts: SchemaParts<'_>) -> crate::Result = tile_extents.iter().map(|n| *n as u64).collect(); builder = builder diff --git a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/aggregate.rs b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/aggregate.rs index 78a31c260..7a952086e 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/aggregate.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/aggregate.rs @@ -28,6 +28,7 @@ pub(crate) fn convert_agg( slice, zone, temporal, + physical, } = args; let entry = load_entry(name, tenant_id, ctx)?; let schema = decode_schema(&entry)?; @@ -51,9 +52,9 @@ pub(crate) fn convert_agg( })? as i32, }; - let (system_as_of, valid_at_ms) = + let (system_time, valid_at_ms) = super::helpers::resolve_array_temporal(*temporal, "ARRAY_AGG")?; - let region = resolve_region(name, slice, zone, &schema)?; + let region = resolve_region(name, slice, zone, &schema, &ctx.crs_context())?; let region_msgpack = match ®ion { Some(region) => { zerompk::to_msgpack_vec(region).map_err(|e| crate::Error::Serialization { @@ -64,6 +65,10 @@ pub(crate) fn convert_agg( None => Vec::new(), }; let mapped = map_reducer(reducer); + // A malformed histogram spec is refused here, before any shard runs it. + mapped.engine().map_err(|e| crate::Error::PlanError { + detail: format!("ARRAY_AGG: {e}"), + })?; let aid = ArrayId::in_database(tenant_id, ctx.database_id, name); let vshard = ctx.collection_key(name).vshard(); @@ -87,9 +92,10 @@ pub(crate) fn convert_agg( group_by_dim: group_by_dim_idx, slice_tile_keys: compute_slice_tile_keys(&schema, box_ranges, entry.prefix_bits), prefix_bits: entry.prefix_bits, - system_as_of, + system_time, valid_at_ms, region_msgpack, + physical, }) } else { PhysicalPlan::Array(ArrayOp::Aggregate { @@ -100,9 +106,10 @@ pub(crate) fn convert_agg( cell_filter: None, return_partial: false, shard_bucket: None, - system_as_of, + system_time, valid_at_ms, region_msgpack, + physical, }) }; @@ -141,6 +148,7 @@ mod tests { slice, zone: None, temporal, + physical: false, } } use nodedb_array::schema::{ArraySchemaBuilder, AttrSpec, AttrType, DimSpec, DimType}; diff --git a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/elementwise.rs b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/elementwise.rs index 280c5f3cb..f7fe1e069 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/elementwise.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/elementwise.rs @@ -43,7 +43,7 @@ pub(crate) fn convert_elementwise( attr, temporal, } = call; - let (system_as_of, valid_at_ms) = + let (system_time, valid_at_ms) = super::helpers::resolve_array_temporal(temporal, "ARRAY_ELEMENTWISE")?; let lentry = load_entry(left_name, tenant_id, ctx)?; let rentry = load_entry(right_name, tenant_id, ctx)?; @@ -90,7 +90,7 @@ pub(crate) fn convert_elementwise( op, attr_idx, prefix_bits: lentry.prefix_bits, - system_as_of, + system_time, valid_at_ms, }) } else { @@ -101,7 +101,7 @@ pub(crate) fn convert_elementwise( attr_idx, cell_filter: None, shard_bucket: None, - system_as_of, + system_time, valid_at_ms, }) }; @@ -213,7 +213,7 @@ mod tests { assert!(matches!( &tasks[0].plan, PhysicalPlan::ClusterArray(ClusterArrayOp::Elementwise { - system_as_of: Some(1_000), + system_time: nodedb_types::SystemTimeScope::AsOf(1_000), valid_at_ms: Some(2_000), .. }) @@ -227,7 +227,7 @@ mod tests { assert!(matches!( &tasks[0].plan, PhysicalPlan::Array(ArrayOp::Elementwise { - system_as_of: Some(1_000), + system_time: nodedb_types::SystemTimeScope::AsOf(1_000), valid_at_ms: Some(2_000), .. }) diff --git a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/helpers.rs b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/helpers.rs index 73ab4d6cc..4da4d7136 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/helpers.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/helpers.rs @@ -5,7 +5,7 @@ use nodedb_array::query::slice::{DimRange, Slice}; use nodedb_array::schema::{ArraySchema, DimType as EngineDimType}; use nodedb_array::types::domain::DomainBound; -use nodedb_sql::temporal::{TemporalScope, ValidTime}; +use nodedb_sql::temporal::TemporalScope; use nodedb_sql::types_array::{ ArrayBinaryOpAst, ArrayCoordLiteral, ArrayReducerAst, ArraySliceAst, }; @@ -122,6 +122,14 @@ pub(super) fn map_reducer(r: ArrayReducerAst) -> ArrayReducer { ArrayReducerAst::Min => ArrayReducer::Min, ArrayReducerAst::Max => ArrayReducer::Max, ArrayReducerAst::Mean => ArrayReducer::Mean, + ArrayReducerAst::Median => ArrayReducer::Median, + ArrayReducerAst::Percentile(p) => ArrayReducer::Percentile { p }, + ArrayReducerAst::StdDevPop => ArrayReducer::StdDevPop, + ArrayReducerAst::StdDevSamp => ArrayReducer::StdDevSamp, + ArrayReducerAst::VarPop => ArrayReducer::VarPop, + ArrayReducerAst::VarSamp => ArrayReducer::VarSamp, + ArrayReducerAst::Mode => ArrayReducer::Mode, + ArrayReducerAst::Histogram { bins, lo, hi } => ArrayReducer::Histogram { bins, lo, hi }, } } @@ -134,18 +142,17 @@ pub(super) fn map_binary_op(o: ArrayBinaryOpAst) -> ArrayBinaryOp { } } -/// Resolve a [`TemporalScope`] into the `(system_as_of, valid_at_ms)` pair -/// expected by `ArrayOp::Aggregate` (and `ClusterArrayOp::Agg`). +/// Resolve a [`TemporalScope`] into the `(system_time, valid_at_ms)` pair +/// expected by `ArrayOp::Aggregate` / `ArrayOp::Elementwise` (and their +/// `ClusterArrayOp` fan-outs). /// -/// Default semantics when neither clause was given: both `None` — the Data -/// Plane handler treats this as the live-state fast path (equivalent to -/// `system_as_of = i64::MAX`, no valid-time filter). This avoids allocating -/// any bitemporal bookkeeping for the overwhelmingly common non-temporal case. +/// With neither clause: `SystemTimeScope::Current` and no valid-time +/// filter, the Data Plane's live-state path. /// -/// When `AS OF SYSTEM TIME` is given: `system_as_of = Some(t)`, the DP -/// handler applies the Ceiling resolver to reconstruct the array's state at -/// the named system timestamp. `valid_at_ms` remains `None` unless -/// `AS OF VALID TIME` is also present. +/// `AS OF SYSTEM TIME` passes its scope through. The statement's cut pin +/// (`system_cut::pin_statement_cuts`) later turns `AsOf` into `Pinned`, and +/// every serving node waits for the pinned cut's marker before it reads. +/// `valid_at_ms` stays `None` unless `AS OF VALID TIME` is also present. /// /// When `AS OF VALID TIME` is given: `valid_at_ms = Some(v)`. Only the /// `ValidTime::At(v)` (point-in-time) form is supported by the array engine; @@ -158,10 +165,11 @@ pub(super) fn map_binary_op(o: ArrayBinaryOpAst) -> ArrayBinaryOp { pub(super) fn resolve_array_temporal( temporal: TemporalScope, context: &str, -) -> crate::Result<(Option, Option)> { - let system_as_of = match temporal.system_time { - nodedb_types::SystemTimeScope::Current => None, - nodedb_types::SystemTimeScope::AsOf(ms) => Some(ms), +) -> crate::Result<(nodedb_types::SystemTimeScope, Option)> { + let system_time = match temporal.system_time { + scope @ (nodedb_types::SystemTimeScope::Current + | nodedb_types::SystemTimeScope::AsOf(_) + | nodedb_types::SystemTimeScope::Pinned { .. }) => scope, nodedb_types::SystemTimeScope::AllVersions => { return Err(crate::Error::PlanError { detail: format!( @@ -171,19 +179,9 @@ pub(super) fn resolve_array_temporal( }); } }; - let valid_at_ms = match temporal.valid_time { - ValidTime::Any => None, - ValidTime::At(ms) => Some(ms), - ValidTime::Range(lo, _hi) => { - return Err(crate::Error::PlanError { - detail: format!( - "{context}: AS OF VALID TIME range predicates are not supported on array reads; \ - use AS OF VALID TIME (point-in-time). Got FOR VALID_TIME FROM {lo} ..." - ), - }); - } - }; - Ok((system_as_of, valid_at_ms)) + let valid_at_ms = + crate::control::planner::sql_plan_convert::valid_time_point(temporal.valid_time, "array")?; + Ok((system_time, valid_at_ms)) } /// Resolve a [`TemporalScope`] into the `(system_time, valid_at_ms)` pair @@ -198,20 +196,9 @@ pub(super) fn resolve_array_temporal( /// valid-time point, not an interval, so range predicates are nonsensical. pub(super) fn resolve_array_temporal_scope( temporal: TemporalScope, - context: &str, ) -> crate::Result<(nodedb_types::SystemTimeScope, Option)> { let system_time = temporal.system_time; // all three variants pass through - let valid_at_ms = match temporal.valid_time { - ValidTime::Any => None, - ValidTime::At(ms) => Some(ms), - ValidTime::Range(lo, _hi) => { - return Err(crate::Error::PlanError { - detail: format!( - "{context}: AS OF VALID TIME range predicates are not supported on array reads; \ - use AS OF VALID TIME (point-in-time). Got FOR VALID_TIME FROM {lo} ..." - ), - }); - } - }; + let valid_at_ms = + crate::control::planner::sql_plan_convert::valid_time_point(temporal.valid_time, "array")?; Ok((system_time, valid_at_ms)) } diff --git a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/region.rs b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/region.rs index b9d204944..bc266ba14 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/region.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/region.rs @@ -19,7 +19,6 @@ use nodedb_array::schema::{ArraySchema, DimType}; use nodedb_array::types::domain::DomainBound; use nodedb_sql::types_array::{ArraySliceAst, ArrayZoneAst}; use nodedb_types::NodeDbError; -use nodedb_types::geometry::Srid; use super::helpers::resolve_slice; @@ -30,13 +29,14 @@ pub(super) fn resolve_region( slice: &ArraySliceAst, zone: Option<&ArrayZoneAst>, schema: &ArraySchema, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result> { if slice.dim_ranges.is_empty() && zone.is_none() { return Ok(None); } let mut engine_slice = resolve_slice("ARRAY_AGG", name, slice, schema)?; let zone = zone - .map(|z| lower_zone("ARRAY_AGG", name, z, schema, &mut engine_slice)) + .map(|z| lower_zone("ARRAY_AGG", name, z, schema, &mut engine_slice, crs)) .transpose()?; Ok(Some(ArrayRegion::new(engine_slice, zone))) } @@ -48,6 +48,7 @@ pub(super) fn lower_zone( zone: &ArrayZoneAst, schema: &ArraySchema, slice: &mut Slice, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result { let x = zone_axis(func, name, &zone.x_dim, schema)?; let y = zone_axis(func, name, &zone.y_dim, schema)?; @@ -55,11 +56,13 @@ pub(super) fn lower_zone( let frame = match zone.srid { None => None, Some(code) => { - let zone_srid = Srid::try_from(code).map_err(|e| crate::Error::DataException { - detail: format!("{func}: zone SRID: {e}"), - })?; + let zone_srid = crs + .resolve_u32(code) + .map_err(|e| crate::Error::DataException { + detail: format!("{func}: zone SRID: {e}"), + })?; check_georef_axes(func, name, schema, x.dim, y.dim)?; - Some(build_zone_frame(schema, zone_srid, &polygons).map_err(frame_error)?) + Some(build_zone_frame(schema, zone_srid, &polygons, crs).map_err(frame_error)?) } }; let extent = match &frame { @@ -176,11 +179,11 @@ fn frame_error(e: ZoneFrameError) -> crate::Error { ZoneFrameError::VertexBudget { .. } => { crate::Error::from(NodeDbError::program_limit_exceeded(e.to_string())) } - ZoneFrameError::OutOfDomain { .. } | ZoneFrameError::EmptyZone { .. } => { - crate::Error::DataException { - detail: e.to_string(), - } - } + ZoneFrameError::OutOfDomain { .. } + | ZoneFrameError::EmptyZone { .. } + | ZoneFrameError::Crs { .. } => crate::Error::DataException { + detail: e.to_string(), + }, } } @@ -229,6 +232,7 @@ mod tests { }; use nodedb_array::types::domain::Domain; use nodedb_sql::types_array::{ArrayCoordLiteral, NamedDimRange}; + use nodedb_types::geometry::Srid; fn schema() -> ArraySchema { ArraySchemaBuilder::new("grid") @@ -270,7 +274,7 @@ mod tests { .build() .expect("schema build") .with_georef(Some(ArrayGeoref { - srid: Srid::Wgs84, + srid: Srid::WGS84, x_dim: 1, y_dim: 0, transform: Some(GeoTransform([100.0, 1.0, 0.0, 8.0, 0.0, -1.0])), @@ -310,7 +314,14 @@ mod tests { #[test] fn the_whole_array_has_no_region() { - let region = resolve_region("grid", &ArraySliceAst::default(), None, &schema()).unwrap(); + let region = resolve_region( + "grid", + &ArraySliceAst::default(), + None, + &schema(), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap(); assert!(region.is_none()); } @@ -321,6 +332,7 @@ mod tests { &ArraySliceAst::default(), Some(&zone("lon", "row")), &schema(), + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap() .expect("region"); @@ -349,9 +361,15 @@ mod tests { hi: ArrayCoordLiteral::Int64(50), }], }; - let region = resolve_region("grid", &slice, Some(&zone("lon", "row")), &schema()) - .unwrap() - .expect("region"); + let region = resolve_region( + "grid", + &slice, + Some(&zone("lon", "row")), + &schema(), + &nodedb_crs::CrsContext::builtin_only(), + ) + .unwrap() + .expect("region"); assert_eq!( range(®ion, 0), Some((DomainBound::Float64(5.0), DomainBound::Float64(7.25))) @@ -365,6 +383,7 @@ mod tests { &ArraySliceAst::default(), Some(&zone("lon", "ts")), &schema(), + &nodedb_crs::CrsContext::builtin_only(), ) .expect_err("refused"); assert!( @@ -380,6 +399,7 @@ mod tests { &ArraySliceAst::default(), Some(&zone("lon", "lat")), &schema(), + &nodedb_crs::CrsContext::builtin_only(), ) .expect_err("refused"); assert!( @@ -395,14 +415,15 @@ mod tests { &ArraySliceAst::default(), Some(&lon_lat_zone(101.0, 5.0, 103.0, 7.0)), &pixel_schema(), + &nodedb_crs::CrsContext::builtin_only(), ) .unwrap() .expect("region"); let zone = region.zone.as_ref().expect("zone"); let frame = zone.frame.as_ref().expect("frame"); assert_eq!( - (frame.array_srid, frame.zone_srid), - (Srid::Wgs84, Srid::Wgs84) + (frame.array_crs.srid, frame.zone_srid()), + (Srid::WGS84, Srid::WGS84) ); // Cells 1..=2 on both axes hold the zone. The box pads by half a // pixel and rounds outward: 0..=3. @@ -427,6 +448,7 @@ mod tests { &lon_lat_zone(130.0, 5.0, 131.0, 6.0), &pixel_schema(), &mut engine, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("lowered"); let col = engine.dim_ranges[1].as_ref().expect("col range"); @@ -442,6 +464,7 @@ mod tests { &ArraySliceAst::default(), Some(&lon_lat_zone(101.0, 5.0, 103.0, 7.0)), &no_georef, + &nodedb_crs::CrsContext::builtin_only(), ) .expect_err("refused"); assert!( @@ -459,6 +482,7 @@ mod tests { &ArraySliceAst::default(), Some(&swapped), &pixel_schema(), + &nodedb_crs::CrsContext::builtin_only(), ) .expect_err("refused"); assert!( @@ -481,7 +505,7 @@ mod tests { array: "img".into(), x: 150.0, y: 6.0, - zone_srid: Srid::Wgs84, + zone_srid: Srid::WGS84, detail: "too far from the central meridian".into(), }); assert!( diff --git a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/slice.rs b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/slice.rs index c95f31683..c3c80474a 100644 --- a/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/slice.rs +++ b/nodedb/src/control/planner/sql_plan_convert/array_fn_convert/slice.rs @@ -27,6 +27,7 @@ pub(crate) fn convert_slice( limit, zone, temporal, + physical, } = args; let entry = load_entry(name, tenant_id, ctx)?; let schema = decode_schema(&entry)?; @@ -37,7 +38,14 @@ pub(crate) fn convert_slice( let zone_msgpack = match zone { None => Vec::new(), Some(zone) => { - let lowered = lower_zone("ARRAY_SLICE", name, zone, &schema, &mut slice)?; + let lowered = lower_zone( + "ARRAY_SLICE", + name, + zone, + &schema, + &mut slice, + &ctx.crs_context(), + )?; zerompk::to_msgpack_vec(&lowered).map_err(|e| crate::Error::Serialization { format: "msgpack".into(), detail: format!("array slice zone encode: {e}"), @@ -50,8 +58,7 @@ pub(crate) fn convert_slice( detail: format!("array slice encode: {e}"), })?; - let (system_time, valid_at_ms) = - super::helpers::resolve_array_temporal_scope(*temporal, "ARRAY_SLICE")?; + let (system_time, valid_at_ms) = super::helpers::resolve_array_temporal_scope(*temporal)?; let attr_indices = resolve_attr_indices(name, attr_projection, &schema)?; let aid = ArrayId::in_database(tenant_id, ctx.database_id, name); let vshard = ctx.collection_key(name).vshard(); @@ -75,6 +82,7 @@ pub(crate) fn convert_slice( system_time, valid_at_ms, zone_msgpack, + physical, }) } else { PhysicalPlan::Array(ArrayOp::Slice { @@ -87,6 +95,7 @@ pub(crate) fn convert_slice( system_time, valid_at_ms, zone_msgpack, + physical, }) }; @@ -185,6 +194,7 @@ mod tests { limit: 100, zone: None, temporal: &TemporalScope::default(), + physical: false, }, TenantId::new(1), ctx, diff --git a/nodedb/src/control/planner/sql_plan_convert/convert.rs b/nodedb/src/control/planner/sql_plan_convert/convert.rs index a0c4b3954..50dc5865b 100644 --- a/nodedb/src/control/planner/sql_plan_convert/convert.rs +++ b/nodedb/src/control/planner/sql_plan_convert/convert.rs @@ -139,6 +139,18 @@ impl ConvertContext { self.purpose == PlanningPurpose::Metadata } + /// The CRS context SRIDs resolve against. A context with no catalog + /// reaches no user-defined CRS, so it resolves through the built-in + /// registry only. + pub fn crs_context(&self) -> nodedb_crs::CrsContext<'_> { + match &self.credentials { + Some(credentials) => { + crate::control::crs_context::catalog_crs_context(credentials.catalog()) + } + None => nodedb_crs::CrsContext::builtin_only(), + } + } + /// The canonical key of `bare`, a catalog collection name in this /// context's database. Placement and surrogate identity use this key. pub fn collection_key<'a>(&self, bare: &'a str) -> nodedb_types::CollectionKey<'a> { diff --git a/nodedb/src/control/planner/sql_plan_convert/dml/insert/convert.rs b/nodedb/src/control/planner/sql_plan_convert/dml/insert/convert.rs index ab099d4dc..223574226 100644 --- a/nodedb/src/control/planner/sql_plan_convert/dml/insert/convert.rs +++ b/nodedb/src/control/planner/sql_plan_convert/dml/insert/convert.rs @@ -228,6 +228,7 @@ pub(in super::super::super) fn convert_insert( schema_bytes, provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), // Both slots are filled by later passes over the built plan — // `inject_returning_spec` from the statement's RETURNING list, diff --git a/nodedb/src/control/planner/sql_plan_convert/dml/kv_insert.rs b/nodedb/src/control/planner/sql_plan_convert/dml/kv_insert.rs index 7cf010066..c9e74cccf 100644 --- a/nodedb/src/control/planner/sql_plan_convert/dml/kv_insert.rs +++ b/nodedb/src/control/planner/sql_plan_convert/dml/kv_insert.rs @@ -212,7 +212,7 @@ fn kv_entry_value(value_cols: &[(String, SqlValue)]) -> crate::Result> { write_msgpack_map_header(&mut buf, value_cols.len()); for (col, val) in value_cols { write_msgpack_str(&mut buf, col); - write_msgpack_value(&mut buf, val); + write_msgpack_value(&mut buf, val)?; } Ok(buf) } diff --git a/nodedb/src/control/planner/sql_plan_convert/dml/merge.rs b/nodedb/src/control/planner/sql_plan_convert/dml/merge.rs index 31c7965b0..0526e6053 100644 --- a/nodedb/src/control/planner/sql_plan_convert/dml/merge.rs +++ b/nodedb/src/control/planner/sql_plan_convert/dml/merge.rs @@ -140,11 +140,13 @@ fn convert_action(action: &MergePlanAction) -> crate::Result { // are evaluated against the qualified source document at apply time. let encoded: Vec = values .iter() - .map(|expr| match expr { - SqlExpr::Literal(v) => UpdateValue::Literal(sql_value_to_msgpack(v)), - other => UpdateValue::Expr(sql_expr_to_bridge_expr_qualified(other)), + .map(|expr| { + Ok(match expr { + SqlExpr::Literal(v) => UpdateValue::Literal(sql_value_to_msgpack(v)?), + other => UpdateValue::Expr(sql_expr_to_bridge_expr_qualified(other)), + }) }) - .collect(); + .collect::>()?; Ok(MergeActionOp::Insert { columns: columns.clone(), values: encoded, diff --git a/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/delete.rs b/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/delete.rs index c20ec0ba4..b2365d0bc 100644 --- a/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/delete.rs +++ b/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/delete.rs @@ -106,6 +106,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_delete( plan: PhysicalPlan::Columnar(ColumnarOp::Delete { collection: qualified_collection.clone(), filters: effective_filter, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }), post_set_op: PostSetOp::None, diff --git a/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/update.rs b/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/update.rs index ef6da81f9..6849796a4 100644 --- a/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/update.rs +++ b/nodedb/src/control/planner/sql_plan_convert/dml/update_delete/update.rs @@ -89,10 +89,12 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_update( let literal_updates: Vec<(String, Vec)> = assignments .iter() .filter_map(|(field, expr)| match expr { - SqlExpr::Literal(val) => Some((field.clone(), sql_value_to_msgpack(val))), + SqlExpr::Literal(val) => { + Some(sql_value_to_msgpack(val).map(|bytes| (field.clone(), bytes))) + } _ => None, }) - .collect(); + .collect::>()?; return Ok(vec![PhysicalTask { tenant_id, vshard_id: vshard, @@ -116,12 +118,12 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_update( .iter() .filter_map(|(field, expr)| { if let SqlExpr::Literal(val) = expr { - Some((field.clone(), sql_value_to_msgpack(val))) + Some(sql_value_to_msgpack(val).map(|bytes| (field.clone(), bytes))) } else { None } }) - .collect(); + .collect::>()?; let key_bytes = sql_value_to_bytes(key)?; // Content-addressed identity: keeps the surrogate the original insert assigned. let surrogate = ctx.surrogate_for_pk(collection_key, &key_bytes)?; @@ -173,6 +175,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_update( collection: qualified_collection.clone(), filters: effective_filter, updates, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }), post_set_op: PostSetOp::None, diff --git a/nodedb/src/control/planner/sql_plan_convert/dml/upsert.rs b/nodedb/src/control/planner/sql_plan_convert/dml/upsert.rs index 3b1cf1dde..e87610b22 100644 --- a/nodedb/src/control/planner/sql_plan_convert/dml/upsert.rs +++ b/nodedb/src/control/planner/sql_plan_convert/dml/upsert.rs @@ -232,6 +232,7 @@ pub(in super::super) fn convert_upsert( schema_bytes, provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), // Filled by the later `inject_returning_spec` / row-level-security // passes — see the plain-insert site above. diff --git a/nodedb/src/control/planner/sql_plan_convert/expr/bridge_expr.rs b/nodedb/src/control/planner/sql_plan_convert/expr/bridge_expr.rs index 83e47f5a4..c7c521223 100644 --- a/nodedb/src/control/planner/sql_plan_convert/expr/bridge_expr.rs +++ b/nodedb/src/control/planner/sql_plan_convert/expr/bridge_expr.rs @@ -297,7 +297,9 @@ mod tests { let expr = SqlExpr::ArrayLiteral(vec![col("n"), SqlExpr::Literal(SqlValue::Int(1))]); let lowered = sql_expr_to_bridge_expr(&expr); assert_eq!( - lowered.eval(&row()).expect("eval"), + lowered + .eval(&row(), &nodedb_crs::CrsContext::builtin_only()) + .expect("eval"), Value::Array(vec![Value::Integer(7), Value::Integer(1)]) ); } @@ -325,7 +327,11 @@ mod tests { negated, case_insensitive, }; - let eval = |e: SqlExpr| sql_expr_to_bridge_expr(&e).eval(&row()).expect("eval"); + let eval = |e: SqlExpr| { + sql_expr_to_bridge_expr(&e) + .eval(&row(), &nodedb_crs::CrsContext::builtin_only()) + .expect("eval") + }; assert_eq!(eval(like(false, false, "Al%")), Value::Bool(true)); assert_eq!(eval(like(true, false, "Al%")), Value::Bool(false)); assert_eq!(eval(like(false, true, "al%")), Value::Bool(true)); diff --git a/nodedb/src/control/planner/sql_plan_convert/kv_counter_shape.rs b/nodedb/src/control/planner/sql_plan_convert/kv_counter_shape.rs index 8325bb1d0..d69109d16 100644 --- a/nodedb/src/control/planner/sql_plan_convert/kv_counter_shape.rs +++ b/nodedb/src/control/planner/sql_plan_convert/kv_counter_shape.rs @@ -53,7 +53,7 @@ pub(crate) fn kv_counter_shape( write_msgpack_map_header(&mut template, cells.len()); for (name, value) in &cells { write_msgpack_str(&mut template, name); - write_msgpack_value(&mut template, value); + write_msgpack_value(&mut template, value)?; } KvCounterShape::Typed { column, template } } diff --git a/nodedb/src/control/planner/sql_plan_convert/mod.rs b/nodedb/src/control/planner/sql_plan_convert/mod.rs index 202a4fc0e..322ec78d6 100644 --- a/nodedb/src/control/planner/sql_plan_convert/mod.rs +++ b/nodedb/src/control/planner/sql_plan_convert/mod.rs @@ -24,9 +24,11 @@ pub mod set_ops; pub mod surrogate_prefetch; #[cfg(test)] pub(crate) mod test_support; +pub mod valid_time; pub mod value; pub mod visitor; pub use cache_verdict::batch_cache_eligibility; pub use convert::{ConvertContext, PlanningPurpose, convert}; pub use surrogate_prefetch::{PrefetchedSurrogates, convert_bound}; +pub use valid_time::valid_time_point; diff --git a/nodedb/src/control/planner/sql_plan_convert/output_schema/build/constant.rs b/nodedb/src/control/planner/sql_plan_convert/output_schema/build/constant.rs index 0728c019c..4784e6ddc 100644 --- a/nodedb/src/control/planner/sql_plan_convert/output_schema/build/constant.rs +++ b/nodedb/src/control/planner/sql_plan_convert/output_schema/build/constant.rs @@ -52,7 +52,8 @@ fn constant_cell_type(value: Option<&nodedb_sql::types_expr::SqlValue>) -> DdlCo | SqlValue::Bytes(_) | SqlValue::Array(_) | SqlValue::Timestamp(_) - | SqlValue::Timestamptz(_), + | SqlValue::Timestamptz(_) + | SqlValue::Geometry(_), ) | None => DdlColType::Text, } diff --git a/nodedb/src/control/planner/sql_plan_convert/output_schema/cte_types.rs b/nodedb/src/control/planner/sql_plan_convert/output_schema/cte_types.rs index ede48c606..c95b4a40d 100644 --- a/nodedb/src/control/planner/sql_plan_convert/output_schema/cte_types.rs +++ b/nodedb/src/control/planner/sql_plan_convert/output_schema/cte_types.rs @@ -49,6 +49,10 @@ impl SqlCatalog for CatalogRef<'_, C> { fn lookup_array(&self, name: &str) -> Option { self.0.lookup_array(name) } + + fn crs_context(&self) -> nodedb_crs::CrsContext<'_> { + self.0.crs_context() + } } /// A catalog that answers for each CTE definition name first. @@ -136,6 +140,10 @@ impl SqlCatalog for CteTypesCatalog<'_> { fn lookup_array(&self, name: &str) -> Option { self.inner.lookup_array(name) } + + fn crs_context(&self) -> nodedb_crs::CrsContext<'_> { + self.inner.crs_context() + } } /// The relation one definition body exposes: one column per announced output diff --git a/nodedb/src/control/planner/sql_plan_convert/row_source.rs b/nodedb/src/control/planner/sql_plan_convert/row_source.rs index 1788164b6..9f54f08c5 100644 --- a/nodedb/src/control/planner/sql_plan_convert/row_source.rs +++ b/nodedb/src/control/planner/sql_plan_convert/row_source.rs @@ -72,16 +72,17 @@ pub(super) fn lower_row_source( && window_functions.is_empty() && matches!(temporal.valid_time, nodedb_sql::ValidTime::Any) { - let system_as_of_ms = match temporal.system_time { - SystemTimeScope::Current => Some(None), - SystemTimeScope::AsOf(ms) => Some(Some(ms)), + let system_time = match temporal.system_time { + scope @ (SystemTimeScope::Current + | SystemTimeScope::AsOf(_) + | SystemTimeScope::Pinned { .. }) => Some(scope), SystemTimeScope::AllVersions => None, }; - if let Some(system_as_of_ms) = system_as_of_ms { + if let Some(system_time) = system_time { return Ok(RowSource::DocumentPages(DocumentPageSource { collection: nodedb_types::QualifiedCollection::new(ctx.database_id, collection), filters: super::filter::serialize_filters(filters)?, - system_as_of_ms, + system_time, offset: *offset, limit: *limit, column_map: super::aggregate::serialize_column_map(maps.stored)?, @@ -380,6 +381,6 @@ mod tests { let RowSource::DocumentPages(page) = source_of(&tasks) else { panic!("expected a page source"); }; - assert_eq!(page.system_as_of_ms, Some(1_700_000_000_000)); + assert_eq!(page.system_time, SystemTimeScope::AsOf(1_700_000_000_000)); } } diff --git a/nodedb/src/control/planner/sql_plan_convert/scan/core.rs b/nodedb/src/control/planner/sql_plan_convert/scan/core.rs index 259345c01..08ec7c598 100644 --- a/nodedb/src/control/planner/sql_plan_convert/scan/core.rs +++ b/nodedb/src/control/planner/sql_plan_convert/scan/core.rs @@ -16,7 +16,7 @@ use super::super::expr::convert_sort_keys; use super::super::filter::serialize_filters; use super::super::scan_params::ScanParams; use super::super::value::{sql_value_to_bytes, sql_value_to_nodedb_value, sql_value_to_string}; -use super::helpers::valid_at_from_scope; +use crate::control::planner::sql_plan_convert::valid_time_point; use nodedb_physical::physical_task::{PhysicalTask, PostSetOp}; pub(in crate::control::planner::sql_plan_convert) fn convert_scan( @@ -103,7 +103,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_scan( computed_columns: computed_bytes, rls_filters: Vec::new(), system_time: temporal.system_time, - valid_at_ms: valid_at_from_scope(temporal), + valid_at_ms: valid_time_point(temporal.valid_time, "timeseries")?, having: Vec::new(), tiering: None, output_columns: Vec::new(), @@ -117,7 +117,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_scan( rls_filters: Vec::new(), sort_keys: sort.clone(), system_time: temporal.system_time, - valid_at_ms: valid_at_from_scope(temporal), + valid_at_ms: valid_time_point(temporal.valid_time, "columnar")?, prefilter: None, computed_columns: computed_bytes.clone(), }), @@ -133,7 +133,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_scan( rls_filters: Vec::new(), sort_keys: sort.clone(), system_time: temporal.system_time, - valid_at_ms: valid_at_from_scope(temporal), + valid_at_ms: valid_time_point(temporal.valid_time, "spatial")?, prefilter: None, computed_columns: computed_bytes.clone(), }), @@ -171,7 +171,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_scan( computed_columns: computed_bytes, window_functions: window_bytes, system_time: temporal.system_time, - valid_at_ms: valid_at_from_scope(temporal), + valid_at_ms: valid_time_point(temporal.valid_time, "document")?, prefilter: None, }) } @@ -256,9 +256,10 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_document_index_look detail: format!("index lookup on '{collection}' cannot answer a valid-time read"), }); } - let system_as_of_ms = match temporal.system_time { - SystemTimeScope::Current => None, - SystemTimeScope::AsOf(ms) => Some(ms), + let system_time = match temporal.system_time { + scope @ (SystemTimeScope::Current + | SystemTimeScope::AsOf(_) + | SystemTimeScope::Pinned { .. }) => scope, SystemTimeScope::AllVersions => { return Err(crate::Error::PlanError { detail: format!("index lookup on '{collection}' cannot list every version"), @@ -279,7 +280,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_document_index_look // No LIMIT fetches every matching row under the byte budget. limit: limit.unwrap_or(usize::MAX), offset, - system_as_of_ms, + system_time, }); Ok(vec![PhysicalTask { tenant_id, diff --git a/nodedb/src/control/planner/sql_plan_convert/scan/helpers.rs b/nodedb/src/control/planner/sql_plan_convert/scan/helpers.rs deleted file mode 100644 index 28804bbea..000000000 --- a/nodedb/src/control/planner/sql_plan_convert/scan/helpers.rs +++ /dev/null @@ -1,16 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! Tiny helpers shared across the scan/search converters. - -use nodedb_sql::TemporalScope; - -/// Project `TemporalScope::valid_time` into the wire field `valid_at_ms`. -/// -/// `ValidTime::Range` is currently not threaded on the wire — a range form -/// requires a wire-type widening, tracked as a separate batch. -pub(super) fn valid_at_from_scope(t: &TemporalScope) -> Option { - match t.valid_time { - nodedb_sql::ValidTime::Any | nodedb_sql::ValidTime::Range(..) => None, - nodedb_sql::ValidTime::At(ms) => Some(ms), - } -} diff --git a/nodedb/src/control/planner/sql_plan_convert/scan/join.rs b/nodedb/src/control/planner/sql_plan_convert/scan/join.rs index e37fe71ad..38c141c6a 100644 --- a/nodedb/src/control/planner/sql_plan_convert/scan/join.rs +++ b/nodedb/src/control/planner/sql_plan_convert/scan/join.rs @@ -104,7 +104,7 @@ fn bitmap_hint_to_plan(hint: &BitmapHint, database_id: DatabaseId) -> Option SpatialPredicate::DWithin, + nodedb_sql::types::SpatialPredicate::DWithin3D => SpatialPredicate::DWithin3D, nodedb_sql::types::SpatialPredicate::Contains => SpatialPredicate::Contains, nodedb_sql::types::SpatialPredicate::Intersects => SpatialPredicate::Intersects, nodedb_sql::types::SpatialPredicate::Within => SpatialPredicate::Within, diff --git a/nodedb/src/control/planner/sql_plan_convert/scan/timeseries.rs b/nodedb/src/control/planner/sql_plan_convert/scan/timeseries.rs index 9e933c4d2..5de086792 100644 --- a/nodedb/src/control/planner/sql_plan_convert/scan/timeseries.rs +++ b/nodedb/src/control/planner/sql_plan_convert/scan/timeseries.rs @@ -15,7 +15,7 @@ use super::super::expr::convert_sort_keys; use super::super::filter::serialize_filters; use super::super::scan_params::TimeseriesScanParams; use super::super::value::{InstantForm, row_to_msgpack_with, write_msgpack_array_header}; -use super::helpers::valid_at_from_scope; +use crate::control::planner::sql_plan_convert::valid_time_point; use nodedb_physical::physical_task::{PhysicalTask, PostSetOp}; pub(in crate::control::planner::sql_plan_convert) fn convert_timeseries_scan( @@ -98,7 +98,7 @@ pub(in crate::control::planner::sql_plan_convert) fn convert_timeseries_scan( computed_columns: computed_bytes, rls_filters: Vec::new(), system_time: temporal.system_time, - valid_at_ms: valid_at_from_scope(temporal), + valid_at_ms: valid_time_point(temporal.valid_time, "timeseries")?, having: having_bytes, tiering, output_columns, diff --git a/nodedb/src/control/planner/sql_plan_convert/set_ops.rs b/nodedb/src/control/planner/sql_plan_convert/set_ops.rs index 411681518..b9f3e4138 100644 --- a/nodedb/src/control/planner/sql_plan_convert/set_ops.rs +++ b/nodedb/src/control/planner/sql_plan_convert/set_ops.rs @@ -33,7 +33,8 @@ pub(super) fn convert_constant_result( | SqlValue::Float(_) | SqlValue::Bool(_) | SqlValue::Null - | SqlValue::String(_) => sql_value_to_nodedb_value(val), + | SqlValue::String(_) + | SqlValue::Geometry(_) => sql_value_to_nodedb_value(val), // The shaper has no typed renderer that reproduces PostgreSQL's // text form for these — `\x..` for bytes, `{1,2}` for arrays, the // ISO string for timestamps — from a typed value, so they keep @@ -113,6 +114,8 @@ pub(super) fn convert_truncate( PhysicalPlan::Columnar(ColumnarOp::Truncate { collection: qualified_collection, restart_identity, + system_from: None, + erase_history: false, }) } EngineType::Timeseries => PhysicalPlan::Timeseries(TimeseriesOp::Truncate { @@ -500,6 +503,7 @@ mod tests { PhysicalPlan::Columnar(ColumnarOp::Truncate { collection, restart_identity, + .. }) => { assert_eq!(collection.as_str(), "c"); assert!(*restart_identity, "{engine:?} must carry restart_identity"); diff --git a/nodedb/src/control/planner/sql_plan_convert/valid_time.rs b/nodedb/src/control/planner/sql_plan_convert/valid_time.rs new file mode 100644 index 000000000..a162d6982 --- /dev/null +++ b/nodedb/src/control/planner/sql_plan_convert/valid_time.rs @@ -0,0 +1,43 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The valid-time instant a point read carries. + +use nodedb_sql::temporal::ValidTime; + +/// The valid-time instant of `valid_time` for a read on `engine`: `None` +/// reads every valid time, `Some(ms)` reads the versions whose valid time +/// contains `ms`. +/// +/// A `FOR VALID_TIME FROM lo TO hi` range answers `FeatureNotSupported`: +/// the read carries one instant only, so a range is refused, never widened +/// to every valid time. +pub fn valid_time_point(valid_time: ValidTime, engine: &'static str) -> crate::Result> { + match valid_time { + ValidTime::Any => Ok(None), + ValidTime::At(ms) => Ok(Some(ms)), + ValidTime::Range(lo, hi) => Err(crate::Error::FeatureNotSupported { + detail: format!( + "FOR VALID_TIME FROM {lo} TO {hi} is not supported on {engine} reads; use \ + AS OF VALID TIME or FOR VALID_TIME CONTAINS " + ), + }), + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn a_point_passes_and_a_range_is_refused() { + assert_eq!(valid_time_point(ValidTime::Any, "graph").ok(), Some(None)); + assert_eq!( + valid_time_point(ValidTime::At(5), "graph").ok(), + Some(Some(5)) + ); + assert!(matches!( + valid_time_point(ValidTime::Range(1, 2), "document"), + Err(crate::Error::FeatureNotSupported { .. }) + )); + } +} diff --git a/nodedb/src/control/planner/sql_plan_convert/value/assignments.rs b/nodedb/src/control/planner/sql_plan_convert/value/assignments.rs index a91b0c570..d130c6065 100644 --- a/nodedb/src/control/planner/sql_plan_convert/value/assignments.rs +++ b/nodedb/src/control/planner/sql_plan_convert/value/assignments.rs @@ -21,7 +21,7 @@ pub(crate) fn assignments_to_update_values( let mut result = Vec::with_capacity(assignments.len()); for (field, expr) in assignments { let value = match expr { - SqlExpr::Literal(v) => UpdateValue::Literal(sql_value_to_msgpack(v)), + SqlExpr::Literal(v) => UpdateValue::Literal(sql_value_to_msgpack(v)?), _ => UpdateValue::Expr(sql_expr_to_bridge_expr(expr)), }; result.push((field.clone(), value)); @@ -38,7 +38,7 @@ pub(crate) fn assignments_to_update_values_qualified( let mut result = Vec::with_capacity(assignments.len()); for (field, expr) in assignments { let value = match expr { - SqlExpr::Literal(v) => UpdateValue::Literal(sql_value_to_msgpack(v)), + SqlExpr::Literal(v) => UpdateValue::Literal(sql_value_to_msgpack(v)?), _ => UpdateValue::Expr(sql_expr_to_bridge_expr_qualified(expr)), }; result.push((field.clone(), value)); diff --git a/nodedb/src/control/planner/sql_plan_convert/value/convert.rs b/nodedb/src/control/planner/sql_plan_convert/value/convert.rs index b803f5726..5c535067e 100644 --- a/nodedb/src/control/planner/sql_plan_convert/value/convert.rs +++ b/nodedb/src/control/planner/sql_plan_convert/value/convert.rs @@ -20,6 +20,7 @@ pub(crate) fn sql_value_to_nodedb_value(v: &SqlValue) -> nodedb_types::Value { SqlValue::Bytes(b) => nodedb_types::Value::Bytes(b.clone()), SqlValue::Timestamp(dt) => nodedb_types::Value::NaiveDateTime(*dt), SqlValue::Timestamptz(dt) => nodedb_types::Value::DateTime(*dt), + SqlValue::Geometry(g) => nodedb_types::Value::Geometry(g.clone()), } } @@ -34,6 +35,8 @@ pub(crate) fn sql_value_to_string(v: &SqlValue) -> String { SqlValue::Bytes(b) => format!("\\x{}", hex::encode(b)), SqlValue::Array(arr) => format_pg_array(arr), SqlValue::Null => String::new(), + // GeoJSON text, `crs` member included for a non-WGS 84 SRID. + SqlValue::Geometry(g) => nodedb_types::geometry::geojson_tree(g).to_string(), } } @@ -76,17 +79,18 @@ pub(crate) fn sql_value_to_bytes(v: &SqlValue) -> crate::Result> { | SqlValue::Null | SqlValue::Bytes(_) | SqlValue::Timestamp(_) - | SqlValue::Timestamptz(_) => Ok(nodedb_types::scalar_to_raw_bytes( + | SqlValue::Timestamptz(_) + | SqlValue::Geometry(_) => Ok(nodedb_types::scalar_to_raw_bytes( &sql_value_to_nodedb_value(v), )?), } } /// Encode a SQL value as standard msgpack for field-level updates. -pub(crate) fn sql_value_to_msgpack(v: &SqlValue) -> Vec { +pub(crate) fn sql_value_to_msgpack(v: &SqlValue) -> crate::Result> { let mut buf = Vec::with_capacity(16); - write_msgpack_value(&mut buf, v); - buf + write_msgpack_value(&mut buf, v)?; + Ok(buf) } #[cfg(test)] diff --git a/nodedb/src/control/planner/sql_plan_convert/value/msgpack_write.rs b/nodedb/src/control/planner/sql_plan_convert/value/msgpack_write.rs index 257123a6f..2cc8cd41b 100644 --- a/nodedb/src/control/planner/sql_plan_convert/value/msgpack_write.rs +++ b/nodedb/src/control/planner/sql_plan_convert/value/msgpack_write.rs @@ -37,7 +37,7 @@ pub(crate) fn row_to_msgpack_with( write_msgpack_map_header(&mut buf, row.len()); for (key, val) in row { write_msgpack_str(&mut buf, key); - write_msgpack_value_with(&mut buf, val, instants); + write_msgpack_value_with(&mut buf, val, instants)?; } Ok(buf) } @@ -85,12 +85,17 @@ pub(crate) fn write_msgpack_str(buf: &mut Vec, s: &str) { } /// Write one value with instants as ISO 8601 text. -pub(crate) fn write_msgpack_value(buf: &mut Vec, val: &SqlValue) { +pub(crate) fn write_msgpack_value(buf: &mut Vec, val: &SqlValue) -> crate::Result<()> { write_msgpack_value_with(buf, val, InstantForm::Iso8601) } -/// Write one value with instants in the given form. -pub(crate) fn write_msgpack_value_with(buf: &mut Vec, val: &SqlValue, instants: InstantForm) { +/// Write one value with instants in the given form. A geometry is the +/// geometry ext, which keeps its SRID, Z and M. +pub(crate) fn write_msgpack_value_with( + buf: &mut Vec, + val: &SqlValue, + instants: InstantForm, +) -> crate::Result<()> { match val { SqlValue::Null => buf.push(0xC0), SqlValue::Bool(true) => buf.push(0xC3), @@ -118,7 +123,7 @@ pub(crate) fn write_msgpack_value_with(buf: &mut Vec, val: &SqlValue, instan SqlValue::Array(arr) => { write_msgpack_array_header(buf, arr.len()); for item in arr { - write_msgpack_value_with(buf, item, instants); + write_msgpack_value_with(buf, item, instants)?; } } SqlValue::Bytes(b) => write_msgpack_bin(buf, b), @@ -130,7 +135,15 @@ pub(crate) fn write_msgpack_value_with(buf: &mut Vec, val: &SqlValue, instan InstantForm::Iso8601 => write_msgpack_str(buf, &dt.to_iso8601()), InstantForm::Ext => write_instant(buf, InstantKind::Utc, dt.micros), }, + SqlValue::Geometry(g) => { + let ext = nodedb_types::value_to_msgpack(&nodedb_types::Value::Geometry(g.clone())) + .map_err(|e| crate::Error::Internal { + detail: format!("geometry does not encode as MessagePack: {e}"), + })?; + buf.extend_from_slice(&ext); + } } + Ok(()) } fn write_msgpack_int(buf: &mut Vec, i: i64) { @@ -193,7 +206,7 @@ mod tests { #[test] fn write_msgpack_value_int() { let mut buf = Vec::new(); - write_msgpack_value(&mut buf, &SqlValue::Int(42)); + write_msgpack_value(&mut buf, &SqlValue::Int(42)).unwrap(); assert_eq!(buf, vec![42]); } @@ -203,7 +216,7 @@ mod tests { fn wide_integer_decimal_is_uint64() { let wide = rust_decimal::Decimal::from(u64::MAX); let mut buf = Vec::new(); - write_msgpack_value(&mut buf, &SqlValue::Decimal(wide)); + write_msgpack_value(&mut buf, &SqlValue::Decimal(wide)).unwrap(); assert_eq!(buf, [0xCF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF]); assert_eq!( nodedb_types::value_from_msgpack(&buf).unwrap(), @@ -212,7 +225,7 @@ mod tests { let mut buf = Vec::new(); let fractional = rust_decimal::Decimal::from_str_exact("1.5").unwrap(); - write_msgpack_value(&mut buf, &SqlValue::Decimal(fractional)); + write_msgpack_value(&mut buf, &SqlValue::Decimal(fractional)).unwrap(); let mut expected = Vec::new(); write_msgpack_str(&mut expected, "1.5"); assert_eq!(buf, expected); @@ -221,7 +234,7 @@ mod tests { #[test] fn write_msgpack_value_string() { let mut buf = Vec::new(); - write_msgpack_value(&mut buf, &SqlValue::String("hi".into())); + write_msgpack_value(&mut buf, &SqlValue::String("hi".into())).unwrap(); assert_eq!(buf, vec![0xA2, b'h', b'i']); } @@ -234,7 +247,7 @@ mod tests { let dt = nodedb_types::NdbDateTime::from_micros(EARLY_MICROS); for val in [SqlValue::Timestamp(dt), SqlValue::Timestamptz(dt)] { let mut buf = Vec::new(); - write_msgpack_value(&mut buf, &val); + write_msgpack_value(&mut buf, &val).unwrap(); let mut expected = Vec::new(); write_msgpack_str(&mut expected, "2020-03-05T10:00:00.000000Z"); assert_eq!(buf, expected); @@ -251,7 +264,7 @@ mod tests { ]; for (val, kind) in cases { let mut buf = Vec::new(); - write_msgpack_value_with(&mut buf, &val, InstantForm::Ext); + write_msgpack_value_with(&mut buf, &val, InstantForm::Ext).unwrap(); assert_eq!( nodedb_types::read_instant(&buf, 0), Some((kind, EARLY_MICROS)), diff --git a/nodedb/src/control/planner/system_cut/mod.rs b/nodedb/src/control/planner/system_cut/mod.rs new file mode 100644 index 000000000..fd6243d80 --- /dev/null +++ b/nodedb/src/control/planner/system_cut/mod.rs @@ -0,0 +1,10 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The per-statement system-time cut: every `AS OF SYSTEM TIME` of a +//! statement pinned to one ordinal under one read cut. + +pub mod pin; +pub mod sites; + +pub use pin::{CutPinning, pin_statement_cuts}; +pub use sites::{for_each_cut_site, for_each_cut_site_ref, plan_scopes}; diff --git a/nodedb/src/control/planner/system_cut/pin.rs b/nodedb/src/control/planner/system_cut/pin.rs new file mode 100644 index 000000000..eb64a9b6c --- /dev/null +++ b/nodedb/src/control/planner/system_cut/pin.rs @@ -0,0 +1,182 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Pin every `AS OF SYSTEM TIME` of one statement under one read cut. +//! +//! The planner lowers `AS OF SYSTEM TIME ` to `SystemTimeScope::AsOf`. +//! Before the statement's tasks leave the Control Plane, this pass takes the +//! statement's read cut once (`read_cut::statement_cap`), sized by the +//! latest cut of the statement, and rewrites every `AsOf` to +//! `SystemTimeScope::Pinned`: the last ordinal of its millisecond, capped at +//! the cut. Every Data Plane read of the statement then reads one cut, on +//! every core and every node. A future time reads the state at the +//! statement and never a later write. + +use nodedb_physical::physical_task::PhysicalTask; +use nodedb_types::SystemTimeScope; + +use crate::control::read_cut::{StatementCap, statement_cap}; +use crate::control::state::SharedState; + +use super::sites::{for_each_cut_site, for_each_cut_site_ref}; + +/// What pinning a statement's cuts did. +#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)] +pub struct CutPinning { + /// True when the read cut capped at least one cut. A capped cut depends + /// on when the statement ran, so its plan never enters a plan cache. An + /// uncapped cut reads the same rows whenever it runs. + pub capped: bool, +} + +/// Pin every unpinned `AS OF SYSTEM TIME` cut in `tasks` under one read cut +/// of `state`. A task set with no unpinned cut takes no read cut. The read +/// cut is cheaper when every cut is in the past (`statement_cap`). +pub async fn pin_statement_cuts( + state: &SharedState, + tasks: &mut [PhysicalTask], +) -> crate::Result { + let latest = tasks + .iter() + .filter_map(|task| latest_unpinned_ms(&task.plan)) + .max(); + let Some(latest_as_of_ms) = latest else { + return Ok(CutPinning::default()); + }; + let cap = statement_cap(state, latest_as_of_ms).await?; + let mut pinning = CutPinning::default(); + for task in tasks.iter_mut() { + for_each_cut_site(&mut task.plan, &mut |site| { + pinning.capped |= pin_site(site, cap); + }); + } + Ok(pinning) +} + +/// The latest millisecond of a cut in `plan` no statement pinned yet, or +/// `None` when `plan` holds no such cut. +fn latest_unpinned_ms(plan: &nodedb_physical::physical_plan::PhysicalPlan) -> Option { + let mut latest: Option = None; + for_each_cut_site_ref(plan, &mut |scope| { + let ms = match *scope { + SystemTimeScope::AsOf(ms) => Some(ms), + SystemTimeScope::Current + | SystemTimeScope::Pinned { .. } + | SystemTimeScope::AllVersions => None, + }; + latest = latest.max(ms); + }); + latest +} + +/// Pin one cut under `cap`. Returns true when the cap lowered it. +fn pin_site(scope: &mut SystemTimeScope, cap: StatementCap) -> bool { + match *scope { + SystemTimeScope::AsOf(ms) => { + let (pinned, capped) = pin_ms(ms, cap); + *scope = pinned; + capped + } + SystemTimeScope::Current + | SystemTimeScope::Pinned { .. } + | SystemTimeScope::AllVersions => false, + } +} + +/// The pinned scope of a cut at `ms` under `cap`, and whether the cap +/// lowered it. +fn pin_ms(ms: i64, cap: StatementCap) -> (SystemTimeScope, bool) { + let cut = cap.pin(ms); + let pinned = SystemTimeScope::Pinned { + ordinal: cut.ordinal, + cut_marker: cut.marker, + }; + let capped = cut.ordinal < nodedb_types::ms_to_ordinal_upper(ms).max(0); + (pinned, capped) +} + +#[cfg(test)] +mod tests { + use super::*; + + const CAP: StatementCap = StatementCap { + cap: 1_700_000_000_500 * nodedb_types::NANOS_PER_MS + 7, + marker: 3, + }; + + #[test] + fn a_past_cut_keeps_its_millisecond_and_takes_the_marker() { + let mut scope = SystemTimeScope::AsOf(1_700_000_000_000); + assert!(!pin_site(&mut scope, CAP)); + assert_eq!( + scope, + SystemTimeScope::Pinned { + ordinal: nodedb_types::ms_to_ordinal_upper(1_700_000_000_000), + cut_marker: 3, + } + ); + } + + #[test] + fn a_future_cut_reads_at_the_cap() { + let mut scope = SystemTimeScope::AsOf(1_800_000_000_000); + assert!(pin_site(&mut scope, CAP)); + assert_eq!( + scope, + SystemTimeScope::Pinned { + ordinal: CAP.cap, + cut_marker: 3, + } + ); + } + + /// An array aggregate's cut pins like any scan's: it takes the cap's + /// ordinal and the marker, so every serving node waits for the cut. + #[test] + fn an_array_aggregate_cut_pins_with_the_marker() { + use nodedb_physical::physical_plan::{ArrayOp, ArrayReducer, PhysicalPlan}; + let mut plan = PhysicalPlan::Array(ArrayOp::Aggregate { + array_id: nodedb_array::types::ArrayId::new(nodedb_types::TenantId::new(1), "a"), + attr_idx: 0, + reducer: ArrayReducer::Sum, + group_by_dim: -1, + cell_filter: None, + return_partial: false, + shard_bucket: None, + system_time: SystemTimeScope::AsOf(1_800_000_000_000), + valid_at_ms: None, + region_msgpack: Vec::new(), + physical: false, + }); + assert_eq!(latest_unpinned_ms(&plan), Some(1_800_000_000_000)); + let mut capped = false; + for_each_cut_site(&mut plan, &mut |scope| capped |= pin_site(scope, CAP)); + assert!(capped); + let PhysicalPlan::Array(ArrayOp::Aggregate { system_time, .. }) = plan else { + panic!("the plan stays an array aggregate"); + }; + assert_eq!( + system_time, + SystemTimeScope::Pinned { + ordinal: CAP.cap, + cut_marker: 3, + } + ); + assert_eq!(system_time.marked_cut(), Some((CAP.cap, 3))); + } + + #[test] + fn a_live_pinned_or_audit_scope_stays() { + for scope in [ + SystemTimeScope::Current, + SystemTimeScope::AllVersions, + SystemTimeScope::Pinned { + ordinal: 9, + cut_marker: 0, + }, + ] { + let mut site = scope; + assert!(!pin_site(&mut site, CAP)); + assert_eq!(site, scope); + } + } +} diff --git a/nodedb/src/control/planner/system_cut/sites.rs b/nodedb/src/control/planner/system_cut/sites.rs new file mode 100644 index 000000000..d14f7185a --- /dev/null +++ b/nodedb/src/control/planner/system_cut/sites.rs @@ -0,0 +1,186 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Every system-time scope a plan reads at, the plan's own and its child +//! plans'. +//! +//! One macro writes the exhaustive match once. It expands to a shared walk +//! for reads and to a mutable walk for the in-place rewrite. + +use nodedb_physical::physical_plan::{ + ArrayOp, ClusterArrayOp, ColumnarOp, DocumentOp, PhysicalPlan, RowSource, TimeseriesOp, +}; +use nodedb_types::SystemTimeScope; + +use crate::control::planner::plan_children::{children, children_mut}; + +/// Every system-time scope `plan` and its child plans read at, in walk +/// order. +pub fn plan_scopes(plan: &PhysicalPlan) -> Vec { + let mut scopes = Vec::new(); + for_each_cut_site_ref(plan, &mut |scope| scopes.push(*scope)); + scopes +} + +/// Expands the cut-site walk for one reference kind: `$($m)?` is empty for +/// a shared walk and `mut` for a mutable one. Every match is exhaustive. +macro_rules! cut_site_walk { + ($walk:ident, $own:ident, $document:ident, $children:ident $(, $m:tt)?) => { + /// Call `visit` on every system-time scope `plan` and its child plans + /// read at, in walk order. + pub fn $walk( + plan: &$($m)? PhysicalPlan, + visit: &mut dyn FnMut(&$($m)? SystemTimeScope), + ) { + $own(plan, visit); + for child in $children(plan) { + $walk(child, visit); + } + } + + /// The cuts `plan` itself reads at. Exhaustive over [`PhysicalPlan`]. + fn $own( + plan: &$($m)? PhysicalPlan, + visit: &mut dyn FnMut(&$($m)? SystemTimeScope), + ) { + match plan { + PhysicalPlan::Document(op) => $document(op, visit), + PhysicalPlan::Columnar(op) => match op { + ColumnarOp::Scan { system_time, .. } => visit(system_time), + ColumnarOp::Insert { .. } + | ColumnarOp::Update { .. } + | ColumnarOp::Delete { .. } + | ColumnarOp::ResolvedUpdate { .. } + | ColumnarOp::ResolvedDelete { .. } + | ColumnarOp::ResolveDml { .. } + | ColumnarOp::MaterializeScan { .. } + | ColumnarOp::Truncate { .. } => {} + }, + PhysicalPlan::Timeseries(op) => match op { + TimeseriesOp::Scan { system_time, .. } => visit(system_time), + TimeseriesOp::Ingest { .. } + | TimeseriesOp::ResolveIngest(_) + | TimeseriesOp::Truncate { .. } + | TimeseriesOp::RefreshAggregate { .. } + | TimeseriesOp::Partitions { .. } + | TimeseriesOp::ReadAggregate { .. } => {} + }, + PhysicalPlan::Array(op) => match op { + ArrayOp::Slice { system_time, .. } + | ArrayOp::Aggregate { system_time, .. } + | ArrayOp::Elementwise { system_time, .. } => visit(system_time), + ArrayOp::OpenArray { .. } + | ArrayOp::Put { .. } + | ArrayOp::Delete { .. } + | ArrayOp::Flush { .. } + | ArrayOp::Compact { .. } + | ArrayOp::SurrogateBitmapScan { .. } + | ArrayOp::DropArray { .. } + | ArrayOp::RekeyArray { .. } + | ArrayOp::PurgeArrayDrop { .. } => {} + }, + PhysicalPlan::ClusterArray(op) => match op { + ClusterArrayOp::Slice { system_time, .. } + | ClusterArrayOp::Agg { system_time, .. } + | ClusterArrayOp::Elementwise { system_time, .. } => visit(system_time), + ClusterArrayOp::Put { .. } + | ClusterArrayOp::Delete { .. } + | ClusterArrayOp::Flush { .. } + | ClusterArrayOp::Compact { .. } => {} + }, + PhysicalPlan::Query(_) + | PhysicalPlan::Vector(_) + | PhysicalPlan::Graph(_) + | PhysicalPlan::Kv(_) + | PhysicalPlan::Text(_) + | PhysicalPlan::Spatial(_) + | PhysicalPlan::Crdt(_) + | PhysicalPlan::Meta(_) + | PhysicalPlan::ClusterEvent(_) => {} + } + } + + /// The cuts a document op itself reads at. A query source's plan is + /// a child plan, so the walk reaches it through the child walk. + fn $document( + op: &$($m)? DocumentOp, + visit: &mut dyn FnMut(&$($m)? SystemTimeScope), + ) { + match op { + DocumentOp::PointGet { system_time, .. } + | DocumentOp::Scan { system_time, .. } + | DocumentOp::IndexedFetch { system_time, .. } + | DocumentOp::MaterializeScan { system_time, .. } => visit(system_time), + DocumentOp::InsertSelect { source, .. } + | DocumentOp::Merge { source, .. } + | DocumentOp::UpdateFromJoin { source, .. } => match source { + RowSource::DocumentPages(page) => visit(&$($m)? page.system_time), + RowSource::Query(_) => {} + }, + DocumentOp::ResolveWrite(inner) => $document(inner, visit), + DocumentOp::PointPut { .. } + | DocumentOp::PointInsert { .. } + | DocumentOp::PointDelete { .. } + | DocumentOp::PointUpdate { .. } + | DocumentOp::BatchInsert { .. } + | DocumentOp::RangeScan { .. } + | DocumentOp::Register { .. } + | DocumentOp::IndexLookup { .. } + | DocumentOp::DropIndex { .. } + | DocumentOp::BackfillIndex { .. } + | DocumentOp::Truncate { .. } + | DocumentOp::EstimateCount { .. } + | DocumentOp::Upsert { .. } + | DocumentOp::BatchUpsert { .. } + | DocumentOp::BulkUpdate { .. } + | DocumentOp::BulkDelete { .. } + | DocumentOp::ApplyBalanceDelta { .. } + | DocumentOp::ResolvedWrite { .. } => {} + } + } + }; +} + +cut_site_walk!( + for_each_cut_site_ref, + own_sites_ref, + document_sites_ref, + children +); +cut_site_walk!( + for_each_cut_site, + own_sites_mut, + document_sites_mut, + children_mut, + mut +); + +#[cfg(test)] +mod tests { + use super::*; + + fn point_get(system_time: SystemTimeScope) -> DocumentOp { + DocumentOp::PointGet { + collection: nodedb_types::QualifiedCollection::new( + nodedb_types::DatabaseId::DEFAULT, + "docs", + ), + document_id: "a".into(), + surrogate: None, + pk_bytes: Vec::new(), + rls_filters: Vec::new(), + system_time, + valid_at_ms: None, + } + } + + /// The shared and the mutable walk reach the same sites in one order. + #[test] + fn both_walks_reach_the_same_sites() { + let mut plan = PhysicalPlan::Document(DocumentOp::ResolveWrite(Box::new(point_get( + SystemTimeScope::AsOf(7), + )))); + assert_eq!(plan_scopes(&plan), vec![SystemTimeScope::AsOf(7)]); + for_each_cut_site(&mut plan, &mut |scope| *scope = SystemTimeScope::Current); + assert_eq!(plan_scopes(&plan), vec![SystemTimeScope::Current]); + } +} diff --git a/nodedb/src/control/read_cut/mod.rs b/nodedb/src/control/read_cut/mod.rs new file mode 100644 index 000000000..ec95d6f97 --- /dev/null +++ b/nodedb/src/control/read_cut/mod.rs @@ -0,0 +1,13 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The read cut of a historical statement or a distributed run: the cap it +//! pins, the cut marker that fixes it, and the wait every serving node does +//! before it reads. + +pub mod run_marker; +pub mod statement_cap; +pub mod wait; + +pub(crate) use run_marker::{agreed_cut, new_cut_marker}; +pub(crate) use statement_cap::{StatementCap, pin_historical_cut, statement_cap}; +pub(crate) use wait::await_read_cut; diff --git a/nodedb/src/control/server/graph_dispatch/run_cut.rs b/nodedb/src/control/read_cut/run_marker.rs similarity index 90% rename from nodedb/src/control/server/graph_dispatch/run_cut.rs rename to nodedb/src/control/read_cut/run_marker.rs index 76a4595bf..8e4706621 100644 --- a/nodedb/src/control/server/graph_dispatch/run_cut.rs +++ b/nodedb/src/control/read_cut/run_marker.rs @@ -1,6 +1,6 @@ // SPDX-License-Identifier: BUSL-1.1 -//! The read cut a distributed graph run (BSP PageRank, WCC) reads at. +//! The cut marker one distributed run (BSP PageRank, WCC) reads at. //! //! The coordinator names a Calvin cut marker by a fresh watermark and sends //! it in the run's first dispatch. Every owner node proposes and waits for @@ -12,13 +12,13 @@ use crate::control::state::SharedState; /// A fresh cut marker watermark for one run, from this node's HLC. -pub(super) fn new_cut_marker(state: &SharedState) -> u64 { +pub(crate) fn new_cut_marker(state: &SharedState) -> u64 { state.hlc_clock.now().wall_ns.max(1) } /// The one read cut every owner node answered. A node that answered no cut, -/// or a different one, is an error: the run will read two graphs. -pub(super) fn agreed_cut( +/// or a different one, is an error: the run reads two graphs. +pub(crate) fn agreed_cut( answers: impl IntoIterator)>, ) -> crate::Result { let mut agreed: Option<(u64, i64)> = None; diff --git a/nodedb/src/control/read_cut/statement_cap.rs b/nodedb/src/control/read_cut/statement_cap.rs new file mode 100644 index 000000000..0c58c52b7 --- /dev/null +++ b/nodedb/src/control/read_cut/statement_cap.rs @@ -0,0 +1,353 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The read cut one historical statement pins, shared by every engine. +//! +//! The statement takes its cap once ([`statement_cap`]). Every graph walk +//! and every versioned document, index, columnar, timeseries, and array +//! read of the statement pins its `AS OF SYSTEM TIME` under that cap +//! ([`StatementCap::pin`]), and every serving node waits for the cap's cut +//! marker before it reads (`super::wait`). + +use crate::control::state::SharedState; + +/// The cut a historical statement pins: the ordinal every read of the +/// statement reads at, and the Calvin cut marker that caps it. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(crate) struct HistoricalCut { + /// `AS OF SYSTEM TIME as_of_ms`, capped at the statement's read cut. + pub ordinal: i64, + /// The cut marker whose cut is the cap, `0` on a node without cluster + /// routing. Every owner node waits for it before it reads at `ordinal` + /// (`super::wait`). + pub marker: u64, +} + +/// The read cut of one historical statement: the cap every `AS OF SYSTEM +/// TIME` of the statement is pinned under, and the cut marker that fixes it. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub(crate) struct StatementCap { + /// The newest ordinal any read of the statement reads at. + pub cap: i64, + /// The cut marker whose cut is `cap`, `0` on a node without cluster + /// routing. + pub marker: u64, +} + +impl StatementCap { + /// The cut a read `AS OF SYSTEM TIME as_of_ms` pins: the last ordinal of + /// `as_of_ms`, capped at the statement's read cut. A time before the + /// epoch reads before every write. A time past the cap reads as of the + /// cap. + pub(crate) fn pin(self, as_of_ms: i64) -> HistoricalCut { + HistoricalCut { + ordinal: nodedb_types::ms_to_ordinal_upper(as_of_ms) + .max(0) + .min(self.cap), + marker: self.marker, + } + } +} + +/// The read cut of one historical statement, taken once per statement. +/// Every graph walk and every versioned document, index, columnar, +/// timeseries, and array read of the statement pins its `AS OF SYSTEM +/// TIME` under it ([`StatementCap::pin`]), so the statement reads one cut. +/// +/// `latest_as_of_ms` is the latest `AS OF SYSTEM TIME` the statement pins. +/// +/// Versions carry ordinals from two sources. A write outside the Calvin +/// sequencer stamps a fresh ordinal of the node's ordinal clock, the clock +/// every Data Plane core stamps from. Applying a replicated version folds +/// its stamp into that clock. A Calvin transaction stamps the ordinal of +/// its epoch instant and position. Epoch instants rise strictly in log +/// order, and the sequencer mints each at or after its wall clock. +/// +/// A past cut (`latest_as_of_ms` ends below a fresh clock ordinal) needs no +/// cap: the clock stamps every later write above it, and a Calvin epoch +/// minted after the statement starts carries a later instant. An epoch +/// minted before the statement starts can still be applying, so in a +/// cluster the statement places one cut marker, and every serving node +/// waits for it. +/// +/// A cut at or past now takes a cap in a cluster in three steps: +/// +/// 1. A first marker. Once it resolves, every Calvin version sequenced +/// before it is installed here and folded into the clock. +/// 2. The clock part ([`settled_clock_cap`]), read after the first marker: +/// at or above every version applied here, including one stamped by a +/// node whose clock leads. The wall clock then leaves its millisecond. +/// 3. A second marker, proposed after the clock part settles. A Calvin +/// epoch minted after it carries a later instant, so its versions are +/// above the cap. Its cut covers every Calvin epoch minted before it. +/// +/// The cap is the higher of the clock part and the second marker's cut +/// ([`cluster_cap`]), and the plan carries the second marker. On a node +/// without cluster routing the cap is the clock part alone. +pub(crate) async fn statement_cap( + state: &SharedState, + latest_as_of_ms: i64, +) -> crate::Result { + let clock = state.wal.ordinal_clock(); + let probe = clock_cap(&clock); + let clustered = state.cluster_routing.is_some(); + if is_past_cut(latest_as_of_ms, probe) { + let marker = if clustered { + let marker = super::run_marker::new_cut_marker(state); + resolve_read_cut(state, marker).await?; + marker + } else { + 0 + }; + return Ok(StatementCap { cap: probe, marker }); + } + if !clustered { + return Ok(StatementCap { + cap: settled_clock_cap(&clock).await, + marker: 0, + }); + } + resolve_read_cut(state, super::run_marker::new_cut_marker(state)).await?; + let local = settled_clock_cap(&clock).await; + let marker = super::run_marker::new_cut_marker(state); + let calvin_cut = resolve_read_cut(state, marker).await?; + let cap = cluster_cap(local, calvin_cut); + // A Calvin cut above the clock part moves the clock past the cap too. + clock.update_from_remote(cap); + Ok(StatementCap { cap, marker }) +} + +/// True when a cut at `as_of_ms` ends below `clock_now`, a fresh ordinal of +/// the clock: no later clock stamp can fall at or below it. +fn is_past_cut(as_of_ms: i64, clock_now: i64) -> bool { + nodedb_types::ms_to_ordinal_upper(as_of_ms) < clock_now +} + +async fn resolve_read_cut(state: &SharedState, marker: u64) -> crate::Result { + crate::control::server::exchange::all_cores::read_cut::resolve_read_cut(state, marker).await +} + +/// The cap of a cluster statement: the clock ordinal `local`, raised to the +/// Calvin marker's cut when the sequencer's epoch instants run ahead of the +/// clock. The marker's cut alone misses every clock-stamped version newer +/// than the last Calvin epoch, and is `0` when no epoch applied. +fn cluster_cap(local: i64, calvin_cut: i64) -> i64 { + local.max(calvin_cut) +} + +/// The longest the clock ordinal can lead the wall clock before +/// [`await_wall_past`] stops waiting for it. A clock folded far ahead +/// carries a replayed stamp from a node whose clock ran ahead. Waiting out +/// that lead stalls every historical statement for the whole lead, so the +/// wait stops at this bound. +const MAX_CLOCK_LEAD: std::time::Duration = std::time::Duration::from_millis(2); + +/// The clock part of a statement's cap: a fresh ordinal of `clock`, raised +/// to the last ordinal of its millisecond once the wall clock has left that +/// millisecond. A later write then stamps above the cap, and an engine that +/// stamps milliseconds reads the cap's whole millisecond. A clock that leads +/// the wall by more than [`MAX_CLOCK_LEAD`] keeps the fresh ordinal: later +/// writes still stamp from the lead, inside its millisecond. +async fn settled_clock_cap(clock: &nodedb_types::OrdinalClock) -> i64 { + let local = clock_cap(clock); + if await_wall_past(local).await { + nodedb_types::ms_to_ordinal_upper(nodedb_types::ordinal_to_ms(local)) + } else { + local + } +} + +/// Wait until the wall clock is past the millisecond of `ordinal`. Returns +/// false at once when `ordinal` leads the wall clock by more than +/// [`MAX_CLOCK_LEAD`]. +async fn await_wall_past(ordinal: i64) -> bool { + let target_ns = nodedb_types::ms_to_ordinal_upper(nodedb_types::ordinal_to_ms(ordinal)); + loop { + let now_ns = nodedb_types::wall_now_ns_i64(); + if now_ns > target_ns { + return true; + } + let wait_ns = u64::try_from(target_ns - now_ns + 1).unwrap_or(0); + let wait = std::time::Duration::from_nanos(wait_ns); + if wait > MAX_CLOCK_LEAD { + return false; + } + tokio::time::sleep(wait).await; + } +} + +/// The one system-time ordinal every read of a historical statement reads +/// at: `AS OF SYSTEM TIME as_of_ms`, pinned under the statement's +/// read cut ([`statement_cap`]). Every hop of a walk carries it, so the walk +/// reads one graph. +pub(crate) async fn pin_historical_cut( + state: &SharedState, + as_of_ms: i64, +) -> crate::Result { + Ok(statement_cap(state, as_of_ms).await?.pin(as_of_ms)) +} + +/// The clock part of a statement's cap: a fresh ordinal of `clock`. Every +/// version stamped from `clock` before the read is at or below it, and +/// every later one is above it. +fn clock_cap(clock: &nodedb_types::OrdinalClock) -> i64 { + clock.next_ordinal() +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn a_single_node_cut_closes_between_two_writes() { + let clock = nodedb_types::OrdinalClock::new(); + let before = clock.next_ordinal(); + let cap = StatementCap { + cap: clock_cap(&clock), + marker: 0, + }; + let after = clock.next_ordinal(); + let cut = cap.pin(i64::MAX / nodedb_types::NANOS_PER_MS).ordinal; + assert!(before <= cut, "a write before the read is under the cut"); + assert!(after > cut, "a write after the read is above the cut"); + assert_eq!( + cap.pin(5).ordinal, + nodedb_types::ms_to_ordinal_upper(5), + "an earlier time is not capped" + ); + assert_eq!( + cap.pin(-5).ordinal, + 0, + "a time before the epoch reads nothing" + ); + } + + /// A document version stamped from the Data Plane clock, with no Calvin + /// epoch applied (the marker's cut is `0`), sits under the cluster cap + /// and under a pin at its own millisecond. The marker's cut alone read + /// every such version as absent. + #[test] + fn a_clock_stamped_version_is_under_the_cluster_cut() { + let clock = nodedb_types::OrdinalClock::new(); + let version = clock.next_ordinal(); + let no_epoch = 0; + assert!( + no_epoch < version, + "the marker's cut alone hides the version" + ); + let cap = StatementCap { + cap: cluster_cap(clock_cap(&clock), no_epoch), + marker: 9, + }; + assert!(cap.cap >= version); + let at_its_ms = cap.pin(nodedb_types::ordinal_to_ms(version)); + assert!( + at_its_ms.ordinal >= version, + "a cut at the version's ms reads it" + ); + let future = cap.pin(nodedb_types::ordinal_to_ms(version) + 86_400_000); + assert!(future.ordinal >= version, "a future cut reads it"); + let pinned = nodedb_types::SystemTimeScope::Pinned { + ordinal: future.ordinal, + cut_marker: future.marker, + }; + assert!( + pinned.as_of_ordinal() >= Some(version), + "a pinned scope reads the version" + ); + } + + /// A version stamped by a node whose clock leads, folded into this + /// node's clock when it applies, sits under a clock part read after + /// the fold. + #[tokio::test] + async fn a_folded_version_from_a_leading_clock_is_under_the_cap() { + let clock = nodedb_types::OrdinalClock::new(); + let ahead = clock.next_ordinal() + 1_500_000; + clock.update_from_remote(ahead); + let cap = cluster_cap(settled_clock_cap(&clock).await, 0); + assert!(cap >= ahead, "a folded version is under the cap"); + assert!(clock.next_ordinal() > cap, "a later write is above the cap"); + } + + /// A cut that ends below a fresh clock ordinal is past: no later stamp + /// falls at or below it. A cut in the clock's millisecond or later is + /// not. + #[test] + fn only_a_cut_below_the_clock_is_past() { + let clock = nodedb_types::OrdinalClock::new(); + let now = clock.next_ordinal(); + let now_ms = nodedb_types::ordinal_to_ms(now); + assert!(is_past_cut(now_ms - 1, now)); + assert!( + !is_past_cut(now_ms, now), + "the clock's own millisecond is not past" + ); + assert!(!is_past_cut(now_ms + 1, now)); + let cap = StatementCap { + cap: now, + marker: 0, + }; + assert_eq!( + cap.pin(now_ms - 1).ordinal, + nodedb_types::ms_to_ordinal_upper(now_ms - 1), + "a past cut is never capped" + ); + } + + /// Calvin epoch instants that ran ahead of the clock raise the cap. + #[test] + fn a_calvin_cut_ahead_of_the_clock_raises_the_cap() { + let clock = nodedb_types::OrdinalClock::new(); + let local = clock_cap(&clock); + let ahead = nodedb_types::ms_to_ordinal_upper(nodedb_types::ordinal_to_ms(local) + 5); + assert_eq!(cluster_cap(local, ahead), ahead); + assert_eq!(cluster_cap(local, 0), local); + } + + /// The settled clock cap covers every version stamped before it, the + /// whole of its millisecond, and no version stamped after it. + #[tokio::test] + async fn a_settled_clock_cap_closes_its_millisecond() { + let clock = nodedb_types::OrdinalClock::new(); + let before = clock.next_ordinal(); + let cap = settled_clock_cap(&clock).await; + let after = clock.next_ordinal(); + assert!( + before <= cap, + "a write before the statement is under the cap" + ); + assert!(after > cap, "a write after the statement is above the cap"); + assert_eq!( + cap, + nodedb_types::ms_to_ordinal_upper(nodedb_types::ordinal_to_ms(cap)), + "the cap is the last ordinal of its millisecond" + ); + } + + #[tokio::test] + async fn a_clock_far_ahead_of_the_wall_is_not_waited_out() { + let clock = nodedb_types::OrdinalClock::new(); + let lead = nodedb_types::wall_now_ns_i64() + 10_000_000_000; + clock.update_from_remote(lead); + let started = std::time::Instant::now(); + let cap = settled_clock_cap(&clock).await; + assert!(started.elapsed() < std::time::Duration::from_secs(1)); + assert_eq!(cap, lead + 1, "a leading clock keeps its fresh ordinal"); + } + + #[test] + fn every_pin_of_one_statement_shares_its_marker() { + let cap = StatementCap { + cap: 10_000_000_000, + marker: 7, + }; + let early = cap.pin(3); + let late = cap.pin(1_000_000); + assert_eq!(early.marker, 7); + assert_eq!(late.marker, 7); + assert_eq!( + late.ordinal, 10_000_000_000, + "a future time reads at the cap" + ); + } +} diff --git a/nodedb/src/control/read_cut/wait.rs b/nodedb/src/control/read_cut/wait.rs new file mode 100644 index 000000000..c5e69b6d3 --- /dev/null +++ b/nodedb/src/control/read_cut/wait.rs @@ -0,0 +1,184 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The wait every node does before it serves a historical read. +//! +//! A historical statement pins one cut: `AS OF SYSTEM TIME`, capped at the +//! statement's read cut (`super::statement_cap`). Every plan of the +//! statement carries the ordinal and the Calvin cut marker: a graph read in +//! its `GraphReadScope`, and a document, columnar, timeseries, or array read +//! in its `SystemTimeScope::Pinned`. A node reads at the ordinal only once +//! the marker applied there and every Calvin scheduler it runs passed it, so +//! every Calvin version sequenced before the marker is installed on that +//! node. It then folds the ordinal into its ordinal clock, so no write it +//! stamps later lands at or below the cut. A node that has not installed +//! them answers with versions missing, so the wait is never skipped: it runs +//! on the coordinator's local cores and on every remote owner, and it ends +//! at the statement deadline with `Error::DeadlineExceeded`, never with a +//! partial answer. + +use nodedb_physical::physical_plan::{GraphReadScope, GraphSystemCut, PhysicalPlan}; + +use crate::control::server::exchange::all_cores::read_cut::resolve_read_cut_by; +use crate::control::server::shared::session::StatementDeadline; +use crate::control::state::SharedState; + +/// Wait until this node installed every version at or below each +/// historical cut `plan` reads at, or until `deadline`. A live plan and a +/// cut no marker caps return at once. +/// +/// The marker wait installs every Calvin version sequenced before the +/// marker. The cut can sit above the node's Calvin cut: the statement's cap +/// holds a clock part for writes outside Calvin. The wait then folds the +/// cut's ordinal into this node's ordinal clock, so no write this node +/// stamps after the fold lands at or below the cut. +pub(crate) async fn await_read_cut( + state: &SharedState, + plan: &PhysicalPlan, + deadline: StatementDeadline, +) -> crate::Result<()> { + for (ordinal, marker) in plan_marked_cuts(plan) { + resolve_read_cut_by(state, marker, deadline).await?; + state.wal.ordinal_clock().update_from_remote(ordinal); + } + Ok(()) +} + +/// Each marker that caps a cut of `plan`, with the newest ordinal the plan +/// reads at under it. Empty when no marker caps a cut of the plan. +fn plan_marked_cuts(plan: &PhysicalPlan) -> Vec<(i64, u64)> { + let graph_cut = if let PhysicalPlan::Graph(op) = plan { + op.read_scope().and_then(marked_cut) + } else { + None + }; + let scope_cuts = crate::control::planner::system_cut::plan_scopes(plan) + .into_iter() + .filter_map(|scope| scope.marked_cut()); + let mut cuts: Vec<(i64, u64)> = Vec::new(); + for (ordinal, marker) in graph_cut.into_iter().chain(scope_cuts) { + match cuts.iter_mut().find(|(_, seen)| *seen == marker) { + Some((newest, _)) => *newest = (*newest).max(ordinal), + None => cuts.push((ordinal, marker)), + } + } + cuts +} + +/// The ordinal and the marker of `scope`, when a marker caps an `AtOrdinal` +/// cut. +fn marked_cut(scope: &GraphReadScope) -> Option<(i64, u64)> { + match scope.system { + GraphSystemCut::AtOrdinal(ordinal) if scope.cut_marker != 0 => { + Some((ordinal, scope.cut_marker)) + } + GraphSystemCut::AtOrdinal(_) | GraphSystemCut::Live | GraphSystemCut::AllVersions => None, + } +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_physical::physical_plan::GraphOp; + + fn scope(system: GraphSystemCut, cut_marker: u64) -> GraphReadScope { + GraphReadScope { + system, + valid_at_ms: None, + cut_marker, + } + } + + #[test] + fn only_a_marked_historical_cut_waits() { + assert_eq!( + marked_cut(&scope(GraphSystemCut::AtOrdinal(9), 4)), + Some((9, 4)) + ); + assert_eq!(marked_cut(&scope(GraphSystemCut::AtOrdinal(9), 0)), None); + assert_eq!(marked_cut(&scope(GraphSystemCut::Live, 4)), None); + assert_eq!(marked_cut(&scope(GraphSystemCut::AllVersions, 4)), None); + } + + #[test] + fn a_marked_neighbors_read_names_its_cut() { + let plan = PhysicalPlan::Graph(GraphOp::Neighbors { + collection: None, + node_id: "a".into(), + edge_labels: Vec::new(), + direction: crate::engine::graph::edge_store::Direction::Out, + rls_filters: Vec::new(), + scope: scope(GraphSystemCut::AtOrdinal(11), 3), + }); + assert_eq!(plan_marked_cuts(&plan), vec![(11, 3)]); + } + + #[test] + fn a_pinned_document_read_names_its_cut() { + let plan = PhysicalPlan::Document(nodedb_physical::physical_plan::DocumentOp::PointGet { + collection: nodedb_types::QualifiedCollection::new( + nodedb_types::DatabaseId::DEFAULT, + "docs", + ), + document_id: "a".into(), + surrogate: None, + pk_bytes: Vec::new(), + rls_filters: Vec::new(), + system_time: nodedb_types::SystemTimeScope::Pinned { + ordinal: 21, + cut_marker: 5, + }, + valid_at_ms: None, + }); + assert_eq!(plan_marked_cuts(&plan), vec![(21, 5)]); + let unmarked = + PhysicalPlan::Document(nodedb_physical::physical_plan::DocumentOp::PointGet { + collection: nodedb_types::QualifiedCollection::new( + nodedb_types::DatabaseId::DEFAULT, + "docs", + ), + document_id: "a".into(), + surrogate: None, + pk_bytes: Vec::new(), + rls_filters: Vec::new(), + system_time: nodedb_types::SystemTimeScope::AsOf(21), + valid_at_ms: None, + }); + assert!(plan_marked_cuts(&unmarked).is_empty()); + } + + /// A pinned array aggregate or elementwise fan-out names its cut, so the + /// coordinator and every shard wait for the marker before they read. + #[test] + fn a_pinned_array_fan_out_names_its_cut() { + use nodedb_physical::physical_plan::{ArrayBinaryOp, ClusterArrayOp}; + let pinned = nodedb_types::SystemTimeScope::Pinned { + ordinal: 33, + cut_marker: 6, + }; + let array = + |name: &str| nodedb_array::types::ArrayId::new(nodedb_types::TenantId::new(1), name); + let agg = PhysicalPlan::ClusterArray(ClusterArrayOp::Agg { + array_id: array("a"), + attr_idx: 0, + reducer_msgpack: Vec::new(), + group_by_dim: -1, + slice_tile_keys: Vec::new(), + prefix_bits: 0, + system_time: pinned, + valid_at_ms: None, + region_msgpack: Vec::new(), + physical: false, + }); + assert_eq!(plan_marked_cuts(&agg), vec![(33, 6)]); + let elementwise = PhysicalPlan::ClusterArray(ClusterArrayOp::Elementwise { + left: array("l"), + right: array("r"), + op: ArrayBinaryOp::Add, + attr_idx: 0, + prefix_bits: 0, + system_time: pinned, + valid_at_ms: None, + }); + assert_eq!(plan_marked_cuts(&elementwise), vec![(33, 6)]); + } +} diff --git a/nodedb/src/control/security/audit/export_sink.rs b/nodedb/src/control/security/audit/export_sink.rs index 93af1d054..132cd9e85 100644 --- a/nodedb/src/control/security/audit/export_sink.rs +++ b/nodedb/src/control/security/audit/export_sink.rs @@ -43,7 +43,7 @@ mod tests { use crate::control::security::siem::SiemConfig; fn configured_siem() -> Arc { - Arc::new(SiemExporter::new(SiemConfig { + Arc::new(SiemExporter::strict_for_test(SiemConfig { destinations: vec!["splunk".into()], ..SiemConfig::default() })) @@ -79,7 +79,7 @@ mod tests { #[test] fn dormant_siem_takes_no_copy() { - let siem = Arc::new(SiemExporter::new(SiemConfig::default())); + let siem = Arc::new(SiemExporter::strict_for_test(SiemConfig::default())); let audit = audit_with(&siem); lock_audit_log(&audit).record(AuditEvent::AdminAction, None, "src", "dormant"); assert!(siem.drain_audit().is_empty()); diff --git a/nodedb/src/control/security/blacklist/ip.rs b/nodedb/src/control/security/blacklist/ip.rs index 2aef94e77..16536815e 100644 --- a/nodedb/src/control/security/blacklist/ip.rs +++ b/nodedb/src/control/security/blacklist/ip.rs @@ -7,64 +7,7 @@ use std::net::{IpAddr, SocketAddr}; -/// A parsed CIDR range for IP blacklist matching. -#[derive(Debug, Clone)] -pub struct CidrRange { - /// Network address. - network: IpAddr, - /// Prefix length (0-32 for IPv4, 0-128 for IPv6). - prefix_len: u8, - /// Pre-computed network mask. - mask: u128, -} - -impl CidrRange { - /// Parse a CIDR string like `"10.0.0.0/8"` or `"192.168.1.100"` (single host). - pub fn parse(s: &str) -> Option { - if let Some((addr_str, prefix_str)) = s.split_once('/') { - let addr: IpAddr = addr_str.parse().ok()?; - let prefix_len: u8 = prefix_str.parse().ok()?; - let max_prefix = if addr.is_ipv4() { 32 } else { 128 }; - if prefix_len > max_prefix { - return None; - } - let total_bits: u32 = if addr.is_ipv4() { 32 } else { 128 }; - let mask = if prefix_len == 0 { - 0 - } else if prefix_len as u32 == total_bits { - u128::MAX - } else { - u128::MAX << (total_bits - prefix_len as u32) - }; - Some(Self { - network: addr, - prefix_len, - mask, - }) - } else { - // Single IP — treat as /32 (IPv4) or /128 (IPv6). - let addr: IpAddr = s.parse().ok()?; - let prefix_len = if addr.is_ipv4() { 32 } else { 128 }; - Some(Self { - network: addr, - prefix_len, - mask: u128::MAX, - }) - } - } - - /// The prefix length (e.g., 24 for /24). - pub fn prefix_len(&self) -> u8 { - self.prefix_len - } - - /// Check if an IP address falls within this CIDR range. - pub fn contains(&self, ip: &IpAddr) -> bool { - let ip_bits = ip_to_u128(ip); - let net_bits = ip_to_u128(&self.network); - (ip_bits & self.mask) == (net_bits & self.mask) - } -} +use crate::control::security::net::Cidr; /// Check if an IP address matches any CIDR entry in a blacklist. /// @@ -73,7 +16,7 @@ impl CidrRange { pub fn check_ip_against_cidrs<'a>(ip_str: &str, entries: &'a [String]) -> Option<&'a str> { let ip: IpAddr = ip_str.parse().ok()?; for entry in entries { - if let Some(cidr) = CidrRange::parse(entry) + if let Some(cidr) = Cidr::parse(entry) && cidr.contains(&ip) { return Some(entry); @@ -107,7 +50,7 @@ pub fn normalize_peer_ip(s: &str) -> Option { /// genuinely ranges pay for iteration. #[derive(Debug)] pub struct CidrSet { - entries: Vec<(String, CidrRange, T)>, + entries: Vec<(String, Cidr, T)>, } impl CidrSet { @@ -119,7 +62,7 @@ impl CidrSet { } /// Insert a new entry, or replace the existing one with the same key. - pub fn upsert(&mut self, key: String, range: CidrRange, value: T) { + pub fn upsert(&mut self, key: String, range: Cidr, value: T) { if let Some(slot) = self.entries.iter_mut().find(|(k, _, _)| *k == key) { slot.1 = range; slot.2 = value; @@ -187,44 +130,10 @@ impl Default for CidrSet { } } -/// Convert an IP address to a u128 for bitwise comparison. -/// -/// IPv4 addresses are placed in the lower 32 bits (not IPv4-mapped IPv6) -/// so that IPv4 prefix masks (shifted by 32 - prefix_len) work correctly. -fn ip_to_u128(ip: &IpAddr) -> u128 { - match ip { - IpAddr::V4(v4) => u128::from(u32::from_be_bytes(v4.octets())), - IpAddr::V6(v6) => u128::from_be_bytes(v6.octets()), - } -} - #[cfg(test)] mod tests { use super::*; - #[test] - fn single_ip_match() { - let cidr = CidrRange::parse("192.168.1.100").unwrap(); - assert!(cidr.contains(&"192.168.1.100".parse().unwrap())); - assert!(!cidr.contains(&"192.168.1.101".parse().unwrap())); - } - - #[test] - fn cidr_range_match() { - let cidr = CidrRange::parse("10.0.0.0/8").unwrap(); - assert!(cidr.contains(&"10.0.0.1".parse().unwrap())); - assert!(cidr.contains(&"10.255.255.255".parse().unwrap())); - assert!(!cidr.contains(&"11.0.0.1".parse().unwrap())); - } - - #[test] - fn cidr_24_match() { - let cidr = CidrRange::parse("192.168.1.0/24").unwrap(); - assert!(cidr.contains(&"192.168.1.1".parse().unwrap())); - assert!(cidr.contains(&"192.168.1.254".parse().unwrap())); - assert!(!cidr.contains(&"192.168.2.1".parse().unwrap())); - } - #[test] fn check_against_list() { let entries = vec!["10.0.0.0/8".into(), "192.168.1.100".into()]; @@ -239,20 +148,6 @@ mod tests { assert_eq!(check_ip_against_cidrs("172.16.0.1", &entries), None); } - #[test] - fn invalid_cidr_returns_none() { - assert!(CidrRange::parse("not-an-ip").is_none()); - assert!(CidrRange::parse("10.0.0.0/33").is_none()); - } - - #[test] - fn ipv6_cidr_range_match() { - let cidr = CidrRange::parse("2001:db8::/32").unwrap(); - assert!(cidr.contains(&"2001:db8::1".parse().unwrap())); - assert!(cidr.contains(&"2001:db8:ffff:ffff::1".parse().unwrap())); - assert!(!cidr.contains(&"2001:db9::1".parse().unwrap())); - } - #[test] fn normalize_peer_ip_strips_port() { assert_eq!( @@ -284,12 +179,12 @@ mod tests { let mut set: CidrSet = CidrSet::new(); set.upsert( "ip:10.0.0.0/8".into(), - CidrRange::parse("10.0.0.0/8").unwrap(), + Cidr::parse("10.0.0.0/8").unwrap(), false, // not expired ); set.upsert( "ip:192.168.0.0/16".into(), - CidrRange::parse("192.168.0.0/16").unwrap(), + Cidr::parse("192.168.0.0/16").unwrap(), true, // expired ); @@ -314,12 +209,12 @@ mod tests { let mut set: CidrSet = CidrSet::new(); set.upsert( "ip:10.0.0.0/8".into(), - CidrRange::parse("10.0.0.0/8").unwrap(), + Cidr::parse("10.0.0.0/8").unwrap(), 1, ); set.upsert( "ip:10.0.0.0/8".into(), - CidrRange::parse("10.0.0.0/8").unwrap(), + Cidr::parse("10.0.0.0/8").unwrap(), 2, ); assert_eq!(set.len(), 1); diff --git a/nodedb/src/control/security/blacklist/store.rs b/nodedb/src/control/security/blacklist/store.rs index 70caa77e3..610fb8448 100644 --- a/nodedb/src/control/security/blacklist/store.rs +++ b/nodedb/src/control/security/blacklist/store.rs @@ -15,8 +15,9 @@ use std::time::{SystemTime, UNIX_EPOCH}; use tracing::{info, warn}; -use super::ip::{CidrRange, CidrSet, normalize_peer_ip}; +use super::ip::{CidrSet, normalize_peer_ip}; use crate::control::security::catalog::{StoredBlacklistEntry, SystemCatalog}; +use crate::control::security::net::Cidr; /// A cached blacklist entry with expiry tracking. #[derive(Debug, Clone)] @@ -102,7 +103,7 @@ impl BlacklistStore { let stored = catalog.load_all_blacklist_entries()?; let mut expired_keys = Vec::new(); let mut loaded_exact = Vec::new(); - let mut loaded_cidr: Vec<(String, CidrRange, BlacklistEntry)> = Vec::new(); + let mut loaded_cidr: Vec<(String, Cidr, BlacklistEntry)> = Vec::new(); for s in &stored { let entry = BlacklistEntry::from_stored(s); @@ -111,7 +112,7 @@ impl BlacklistStore { continue; } match cidr_addr_part(&entry) { - Some(addr) => match CidrRange::parse(addr) { + Some(addr) => match Cidr::parse(addr) { Some(range) => loaded_cidr.push((entry.key.clone(), range, entry)), None => { warn!(key = %entry.key, "skipping unparsable CIDR blacklist entry on load"); @@ -218,7 +219,7 @@ impl BlacklistStore { /// CIDR range matched by [`check_ip`](Self::check_ip) against every /// address in the range. A bare address is validated and stored under /// its canonical `IpAddr` string form so lookups stay exact-match O(1). - /// Both IPv4 and IPv6 are supported by [`CidrRange`]. Returns a + /// Both IPv4 and IPv6 are supported by [`Cidr`]. Returns a /// [`crate::Error::BadRequest`] if `addr` is neither a valid IP address /// nor a valid CIDR range — an entry that can never match must not be /// stored silently. @@ -230,7 +231,7 @@ impl BlacklistStore { expires_at: u64, ) -> crate::Result<()> { if addr.contains('/') { - let range = CidrRange::parse(addr).ok_or_else(|| crate::Error::BadRequest { + let range = Cidr::parse(addr).ok_or_else(|| crate::Error::BadRequest { detail: format!( "invalid CIDR range '{addr}': expected e.g. '10.0.0.0/8' or a valid IPv6 prefix" ), @@ -282,7 +283,7 @@ impl BlacklistStore { fn add_cidr_entry( &self, key: String, - range: CidrRange, + range: Cidr, reason: &str, created_by: &str, expires_at: u64, @@ -419,7 +420,7 @@ impl BlacklistStore { } match cidr_addr_part(&entry) { Some(addr) => { - if let Some(range) = CidrRange::parse(addr) { + if let Some(range) = Cidr::parse(addr) { cidrs.upsert(entry.key.clone(), range, entry); } else { warn!(key = %entry.key, "skipping unparsable CIDR blacklist entry on reload"); @@ -454,7 +455,7 @@ impl Default for BlacklistStore { } /// If `entry` is a CIDR-range IP entry (key `"ip:/"`), return -/// the `/` part to be parsed by [`CidrRange::parse`]. +/// the `/` part to be parsed by [`Cidr::parse`]. /// Returns `None` for exact-match entries (user or single-host IP). fn cidr_addr_part(entry: &BlacklistEntry) -> Option<&str> { if entry.kind != "ip" { diff --git a/nodedb/src/control/security/catalog/audit_dml_index.rs b/nodedb/src/control/security/catalog/audit_dml_index.rs index 2d45835c8..e9e0a2ba8 100644 --- a/nodedb/src/control/security/catalog/audit_dml_index.rs +++ b/nodedb/src/control/security/catalog/audit_dml_index.rs @@ -115,7 +115,8 @@ impl SystemCatalog { continue; }; #[cfg(test)] - self.dml_audit_rows_read + self.faults + .dml_audit_rows_read .fetch_add(1, std::sync::atomic::Ordering::Relaxed); entries.push(decode_entry(value.value())?); } @@ -125,7 +126,8 @@ impl SystemCatalog { /// DML audit rows the position read decoded since the catalog opened. #[cfg(test)] pub(crate) fn dml_audit_rows_read_for_test(&self) -> u64 { - self.dml_audit_rows_read + self.faults + .dml_audit_rows_read .load(std::sync::atomic::Ordering::Relaxed) } } diff --git a/nodedb/src/control/security/catalog/bootstrap_tables.rs b/nodedb/src/control/security/catalog/bootstrap_tables.rs index 72ba44fed..7ec640319 100644 --- a/nodedb/src/control/security/catalog/bootstrap_tables.rs +++ b/nodedb/src/control/security/catalog/bootstrap_tables.rs @@ -82,6 +82,7 @@ pub(super) const BOOTSTRAP_TABLES: &[BootstrapTable] = bootstrap_tables![ "calvin_base" => super::calvin_base::CALVIN_BASE, "calvin_sequencer_install" => super::calvin_base::CALVIN_SEQUENCER_INSTALL, "redo_snapshot_owed" => super::redo_snapshot_owed::REDO_SNAPSHOT_OWED, + "vshard_residency" => super::vshard_residency::VSHARD_RESIDENCY, "l2_cleanup_queue" => L2_CLEANUP_QUEUE, "pending_reclaim" => PENDING_RECLAIM, // ── Metadata-group host state ── @@ -125,6 +126,8 @@ pub(super) const BOOTSTRAP_TABLES: &[BootstrapTable] = bootstrap_tables![ "synonym_groups" => SYNONYM_GROUPS, "custom_types" => CUSTOM_TYPES, "custom_type_oid_hwm" => super::custom_type_oid_hwm::CUSTOM_TYPE_OID_HWM, + "spatial_ref_sys" => SPATIAL_REF_SYS, + "credentials" => super::credentials::CREDENTIALS, "wasm_modules" => WASM_MODULES, "rls_policies" => super::rls::RLS_POLICIES, "redaction_policies" => super::redaction::REDACTION_POLICIES, diff --git a/nodedb/src/control/security/catalog/calvin_barrier_logs.rs b/nodedb/src/control/security/catalog/calvin_barrier_logs.rs index 59b343901..759fdfb4c 100644 --- a/nodedb/src/control/security/catalog/calvin_barrier_logs.rs +++ b/nodedb/src/control/security/catalog/calvin_barrier_logs.rs @@ -117,6 +117,7 @@ impl SystemCatalog { pub fn persist_calvin_barrier_logs(&self) -> crate::Result<()> { #[cfg(test)] if self + .faults .fail_next_calvin_barrier_persist .swap(false, Ordering::SeqCst) { @@ -257,6 +258,7 @@ impl SystemCatalog { } #[cfg(test)] if self + .faults .fail_next_calvin_barrier_replace .swap(false, Ordering::SeqCst) { diff --git a/nodedb/src/control/security/catalog/collection.rs b/nodedb/src/control/security/catalog/collection.rs index 30c5edbc1..982fa29ea 100644 --- a/nodedb/src/control/security/catalog/collection.rs +++ b/nodedb/src/control/security/catalog/collection.rs @@ -151,7 +151,7 @@ pub struct StoredCollection { #[msgpack(default)] pub lvc_enabled: bool, /// Bitemporal storage: every write is appended as an immutable version - /// keyed by `system_from_ms`, enabling `FOR SYSTEM_TIME AS OF` / + /// keyed by its system-time ordinal, enabling `FOR SYSTEM_TIME AS OF` / /// `FOR VALID_TIME` queries. Only honored for document engines today; /// other engines ignore it. #[msgpack(default)] diff --git a/nodedb/src/control/security/catalog/collections.rs b/nodedb/src/control/security/catalog/collections.rs index 76b86f11d..4c6285fb3 100644 --- a/nodedb/src/control/security/catalog/collections.rs +++ b/nodedb/src/control/security/catalog/collections.rs @@ -106,6 +106,7 @@ impl SystemCatalog { ) -> crate::Result<()> { #[cfg(test)] if self + .faults .fail_next_collection_write .swap(false, std::sync::atomic::Ordering::SeqCst) { diff --git a/nodedb/src/control/security/catalog/credentials.rs b/nodedb/src/control/security/catalog/credentials.rs new file mode 100644 index 000000000..4cb699810 --- /dev/null +++ b/nodedb/src/control/security/catalog/credentials.rs @@ -0,0 +1,156 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `CREATE CREDENTIAL` rows in the system catalog. +//! +//! `_system.credentials` keys on `"{tenant_id}:{name}"` and holds one +//! MessagePack `StoredCredential` per credential. The secret inside is +//! sealed, so the table never holds plaintext. + +use redb::{ReadableDatabase, ReadableTable, TableDefinition}; + +use super::types::{SystemCatalog, catalog_err}; +use crate::control::security::source_credential::StoredCredential; + +/// Table: `"{tenant_id}:{name}"` -> MessagePack `StoredCredential`. +pub(super) const CREDENTIALS: TableDefinition<&str, &[u8]> = + TableDefinition::new("_system.credentials"); + +/// The row key of credential `name` of `tenant_id`. +fn credential_key(tenant_id: u64, name: &str) -> String { + format!("{tenant_id}:{name}") +} + +impl SystemCatalog { + /// Store `credential`, replacing a row of the same name. + pub fn put_credential(&self, credential: &StoredCredential) -> crate::Result<()> { + let key = credential_key(credential.tenant_id, &credential.name); + let bytes = zerompk::to_msgpack_vec(credential) + .map_err(|e| catalog_err("serialize credential", e))?; + let txn = self + .db + .begin_write() + .map_err(|e| catalog_err("credential write txn", e))?; + { + let mut table = txn + .open_table(CREDENTIALS) + .map_err(|e| catalog_err("open credentials", e))?; + table + .insert(key.as_str(), bytes.as_slice()) + .map_err(|e| catalog_err("insert credential", e))?; + } + txn.commit() + .map_err(|e| catalog_err("credential commit", e)) + } + + /// Remove credential `name` of `tenant_id`. Returns whether it existed. + pub fn delete_credential(&self, tenant_id: u64, name: &str) -> crate::Result { + let key = credential_key(tenant_id, name); + let txn = self + .db + .begin_write() + .map_err(|e| catalog_err("credential write txn", e))?; + let removed = { + let mut table = txn + .open_table(CREDENTIALS) + .map_err(|e| catalog_err("open credentials", e))?; + table + .remove(key.as_str()) + .map_err(|e| catalog_err("remove credential", e))? + .is_some() + }; + txn.commit() + .map_err(|e| catalog_err("credential commit", e))?; + Ok(removed) + } + + /// Credential `name` of `tenant_id`. + pub fn get_credential( + &self, + tenant_id: u64, + name: &str, + ) -> crate::Result> { + let key = credential_key(tenant_id, name); + let txn = self + .db + .begin_read() + .map_err(|e| catalog_err("credential read txn", e))?; + let table = txn + .open_table(CREDENTIALS) + .map_err(|e| catalog_err("open credentials", e))?; + let Some(row) = table + .get(key.as_str()) + .map_err(|e| catalog_err("read credential", e))? + else { + return Ok(None); + }; + zerompk::from_msgpack(row.value()) + .map(Some) + .map_err(|e| catalog_err("decode credential", e)) + } + + /// Every credential of `tenant_id`, in name order. + pub fn list_credentials(&self, tenant_id: u64) -> crate::Result> { + let prefix = format!("{tenant_id}:"); + let txn = self + .db + .begin_read() + .map_err(|e| catalog_err("credential read txn", e))?; + let table = txn + .open_table(CREDENTIALS) + .map_err(|e| catalog_err("open credentials", e))?; + let mut out = Vec::new(); + for row in table + .range(prefix.as_str()..) + .map_err(|e| catalog_err("range credentials", e))? + { + let (key, value) = row.map_err(|e| catalog_err("read credential", e))?; + if !key.value().starts_with(&prefix) { + break; + } + let credential: StoredCredential = zerompk::from_msgpack(value.value()) + .map_err(|e| catalog_err("decode credential", e))?; + out.push(credential); + } + Ok(out) + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::control::security::source_credential::CredentialKind; + + fn row(tenant_id: u64, name: &str) -> StoredCredential { + StoredCredential { + tenant_id, + name: name.into(), + kind: CredentialKind::Bearer, + sealed: vec![1, 2, 3], + owner: "nodedb".into(), + created_at_ms: 1, + } + } + + #[test] + fn rows_round_trip_per_tenant() { + let dir = tempfile::tempdir().expect("tempdir"); + let catalog = SystemCatalog::open(&dir.path().join("system.redb")).expect("catalog"); + catalog.put_credential(&row(1, "b")).expect("put"); + catalog.put_credential(&row(1, "a")).expect("put"); + catalog.put_credential(&row(12, "c")).expect("put"); + let names: Vec = catalog + .list_credentials(1) + .expect("list") + .into_iter() + .map(|c| c.name) + .collect(); + assert_eq!(names, vec!["a".to_string(), "b".to_string()]); + assert_eq!( + catalog.get_credential(1, "a").expect("get"), + Some(row(1, "a")) + ); + assert!(catalog.delete_credential(1, "a").expect("delete")); + assert!(!catalog.delete_credential(1, "a").expect("delete")); + assert_eq!(catalog.get_credential(1, "a").expect("get"), None); + } +} diff --git a/nodedb/src/control/security/catalog/functions.rs b/nodedb/src/control/security/catalog/functions.rs index 7f1e4bd0f..f73b35d3b 100644 --- a/nodedb/src/control/security/catalog/functions.rs +++ b/nodedb/src/control/security/catalog/functions.rs @@ -123,6 +123,7 @@ impl SystemCatalog { #[cfg(test)] if self + .faults .fail_next_function_wasm_write .swap(false, std::sync::atomic::Ordering::SeqCst) { diff --git a/nodedb/src/control/security/catalog/mod.rs b/nodedb/src/control/security/catalog/mod.rs index b6b6f5b46..5e598951e 100644 --- a/nodedb/src/control/security/catalog/mod.rs +++ b/nodedb/src/control/security/catalog/mod.rs @@ -29,6 +29,7 @@ pub mod consumer_groups; pub mod continuous_aggregate; pub mod continuous_aggregates; pub mod crdt_compaction_points; +pub mod credentials; pub mod custom_type_oid_hwm; pub mod custom_types; pub mod cut_floors; @@ -74,6 +75,8 @@ pub mod scopes; pub mod security; pub mod sequence_types; pub mod sequences; +pub mod spatial_ref_sys; +pub mod srid_refs; pub mod streaming_mvs; pub mod surrogate_hwm; pub mod surrogate_pk; @@ -87,6 +90,8 @@ pub mod tables; pub mod tenant_group_marks; pub mod tenant_id_hwm; pub mod tenant_quotas; +#[cfg(test)] +mod test_faults; pub mod topic_lookup; pub mod topic_messages; pub mod topic_publish_marks; @@ -97,7 +102,9 @@ pub mod types; pub mod users; pub mod vector_index_params; pub mod vector_model; +pub mod vshard_residency; pub mod wal_tombstones; +pub mod wasm_raw; pub use auth_types::{ StoredApiKey, StoredAuthUser, StoredBlacklistEntry, StoredOwner, StoredPermission, StoredRole, @@ -134,6 +141,7 @@ pub use redaction::StoredRedactionPolicy; pub use rls::StoredRlsPolicy; pub use scopes::{StoredScope, StoredScopeGrant}; pub use sequence_types::{SequenceState, StoredSequence}; +pub use spatial_ref_sys::CustomCrsWrite; pub use synonym_groups::StoredSynonymGroup; pub use system_catalog::SystemCatalog; pub use trigger_types::StoredTrigger; diff --git a/nodedb/src/control/security/catalog/read_only.rs b/nodedb/src/control/security/catalog/read_only.rs index a9fe166b4..a18b1d252 100644 --- a/nodedb/src/control/security/catalog/read_only.rs +++ b/nodedb/src/control/security/catalog/read_only.rs @@ -75,6 +75,13 @@ impl ReadOnlySystemCatalog { super::vector_index_params::list_all_vector_index_params_in(&self.read_txn("read txn")?) } + /// The user-defined CRS set the catalog holds. + pub fn load_custom_crs_set(&self) -> crate::Result { + super::spatial_ref_sys::load_custom_crs_set_in( + &self.read_txn("load_custom_crs_set read txn")?, + ) + } + /// See [`SystemCatalog::list_databases`]. pub fn list_databases(&self) -> crate::Result> { super::database::list_databases_in(&self.read_txn("list_databases read txn")?) diff --git a/nodedb/src/control/security/catalog/redo_snapshot_owed.rs b/nodedb/src/control/security/catalog/redo_snapshot_owed.rs index 46a537e0f..622451184 100644 --- a/nodedb/src/control/security/catalog/redo_snapshot_owed.rs +++ b/nodedb/src/control/security/catalog/redo_snapshot_owed.rs @@ -60,6 +60,7 @@ impl SystemCatalog { } #[cfg(test)] if self + .faults .fail_next_redo_snapshot_owed_write .swap(false, std::sync::atomic::Ordering::SeqCst) { diff --git a/nodedb/src/control/security/catalog/replicated_image.rs b/nodedb/src/control/security/catalog/replicated_image.rs index 39311f061..3607f16bf 100644 --- a/nodedb/src/control/security/catalog/replicated_image.rs +++ b/nodedb/src/control/security/catalog/replicated_image.rs @@ -28,6 +28,8 @@ //! carried by data-group snapshots. //! - `redo_snapshot_owed`: the data-group snapshot installs this node's //! replicas owe. +//! - `vshard_residency`: the vShards this node hosts, and the departure +//! purges it owes. //! - `l2_cleanup_queue`, `pending_reclaim`, `pending_history_compaction`: //! work this node still owes its own storage. //! - `surrogate_pk_v3`, `surrogate_pk_rev_v3`: PK bindings of stored rows, @@ -195,6 +197,8 @@ pub(super) const REPLICATED_TABLES: &[ReplicatedTable] = replicated_tables![ "synonym_groups" => SYNONYM_GROUPS, "custom_types" => CUSTOM_TYPES, "custom_type_oid_hwm" => super::custom_type_oid_hwm::CUSTOM_TYPE_OID_HWM, + "spatial_ref_sys" => SPATIAL_REF_SYS, + "credentials" => super::credentials::CREDENTIALS, "wasm_modules" => WASM_MODULES, "rls_policies" => super::rls::RLS_POLICIES, "redaction_policies" => super::redaction::REDACTION_POLICIES, diff --git a/nodedb/src/control/security/catalog/spatial_ref_sys.rs b/nodedb/src/control/security/catalog/spatial_ref_sys.rs new file mode 100644 index 000000000..ff4a690cb --- /dev/null +++ b/nodedb/src/control/security/catalog/spatial_ref_sys.rs @@ -0,0 +1,191 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! User-defined CRSs (`CREATE SPATIAL_REF_SYS`) in the system catalog. +//! +//! `_system.spatial_ref_sys` keys on the SRID code and holds one +//! MessagePack `CustomCrs` per code: a live definition, or the tombstone a +//! `DROP SPATIAL_REF_SYS` leaves. A dropped code is never reused, so stored +//! data that names it fails to resolve instead of changing meaning. +//! +//! The catalog keeps the whole set in memory as an `Arc`. +//! Readers take a share of the current set. A write builds the next set, +//! commits its row, then swaps the share, all under the set's write lock. + +use std::sync::Arc; + +use nodedb_crs::{CrsDef, CustomCrs, CustomCrsSet, CustomCrsState, Srid}; +use redb::{ReadableDatabase, ReadableTable}; + +use super::tables::SPATIAL_REF_SYS; +use super::types::{SystemCatalog, catalog_err}; + +/// What a write did to the user-defined CRS set. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub enum CustomCrsWrite { + /// The row changed. + Written, + /// The set already holds the change, or refuses it. Every node applies + /// the same log, so every node leaves the set alike. The DDL that + /// proposed the entry reads the set back to tell which. + Unchanged, +} + +impl SystemCatalog { + /// A share of the current user-defined CRS set. + pub fn custom_crs_set(&self) -> Arc { + Arc::clone(&self.crs_set.read().unwrap_or_else(|p| p.into_inner())) + } + + /// Define `def` under its SRID. A code that is live or dropped leaves + /// the set unchanged. + pub fn define_custom_crs(&self, def: &CrsDef) -> crate::Result { + let mut current = self.crs_set.write().unwrap_or_else(|p| p.into_inner()); + let mut next = CustomCrsSet::clone(¤t); + if next.define(def.clone()).is_err() { + return Ok(CustomCrsWrite::Unchanged); + } + let row = CustomCrs { + srid: def.srid, + state: CustomCrsState::Live(Box::new(def.clone())), + }; + self.write_custom_crs_row(&row)?; + *current = Arc::new(next); + Ok(CustomCrsWrite::Written) + } + + /// Retire the live CRS `srid`. A code that is not live leaves the set + /// unchanged. + pub fn drop_custom_crs(&self, srid: Srid) -> crate::Result { + let mut current = self.crs_set.write().unwrap_or_else(|p| p.into_inner()); + let mut next = CustomCrsSet::clone(¤t); + if next.drop_crs(srid).is_err() { + return Ok(CustomCrsWrite::Unchanged); + } + let row = CustomCrs { + srid, + state: CustomCrsState::Dropped, + }; + self.write_custom_crs_row(&row)?; + *current = Arc::new(next); + Ok(CustomCrsWrite::Written) + } + + /// Reload the in-memory set from the table, after open or after a + /// metadata image replaced the table. + pub fn reload_custom_crs_set(&self) -> crate::Result<()> { + let read_txn = self + .db + .begin_read() + .map_err(|e| catalog_err("spatial_ref_sys read txn", e))?; + let set = load_custom_crs_set_in(&read_txn)?; + *self.crs_set.write().unwrap_or_else(|p| p.into_inner()) = Arc::new(set); + Ok(()) + } + + fn write_custom_crs_row(&self, row: &CustomCrs) -> crate::Result<()> { + let bytes = zerompk::to_msgpack_vec(row) + .map_err(|e| catalog_err("serialize spatial_ref_sys row", e))?; + let write_txn = self + .db + .begin_write() + .map_err(|e| catalog_err("spatial_ref_sys write txn", e))?; + { + let mut table = write_txn + .open_table(SPATIAL_REF_SYS) + .map_err(|e| catalog_err("open spatial_ref_sys", e))?; + table + .insert(row.srid.code(), bytes.as_slice()) + .map_err(|e| catalog_err("insert spatial_ref_sys row", e))?; + } + write_txn + .commit() + .map_err(|e| catalog_err("commit spatial_ref_sys", e)) + } +} + +/// The user-defined CRS set the table holds in `read_txn`. +pub(super) fn load_custom_crs_set_in( + read_txn: &redb::ReadTransaction, +) -> crate::Result { + let table = read_txn + .open_table(SPATIAL_REF_SYS) + .map_err(|e| catalog_err("open spatial_ref_sys", e))?; + let mut entries = Vec::new(); + for row in table + .iter() + .map_err(|e| catalog_err("iter spatial_ref_sys", e))? + { + let (key, value) = row.map_err(|e| catalog_err("read spatial_ref_sys row", e))?; + let entry: CustomCrs = zerompk::from_msgpack(value.value()) + .map_err(|e| catalog_err("decode spatial_ref_sys row", e))?; + if entry.srid.code() != key.value() { + return Err(catalog_err( + "spatial_ref_sys row", + format!( + "row under key {} holds SRID {}", + key.value(), + entry.srid.code() + ), + )); + } + entries.push(entry); + } + CustomCrsSet::from_entries(entries).map_err(|e| catalog_err("spatial_ref_sys rows", e)) +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_crs::parse_proj_string; + + fn def(code: u32) -> CrsDef { + let srid = Srid::new(code).unwrap(); + parse_proj_string(srid, "user tm", "+proj=tmerc +lon_0=101 +ellps=GRS80").unwrap() + } + + #[test] + fn define_drop_and_reload() { + let dir = tempfile::tempdir().unwrap(); + let path = dir.path().join("system.redb"); + { + let catalog = SystemCatalog::open(&path).unwrap(); + assert_eq!( + catalog.define_custom_crs(&def(910_010)).unwrap(), + CustomCrsWrite::Written + ); + assert_eq!( + catalog.define_custom_crs(&def(910_010)).unwrap(), + CustomCrsWrite::Unchanged + ); + let srid = Srid::new(910_010).unwrap(); + assert_eq!( + catalog.drop_custom_crs(srid).unwrap(), + CustomCrsWrite::Written + ); + assert_eq!( + catalog.drop_custom_crs(srid).unwrap(), + CustomCrsWrite::Unchanged + ); + assert_eq!( + catalog.define_custom_crs(&def(910_010)).unwrap(), + CustomCrsWrite::Unchanged + ); + catalog.define_custom_crs(&def(910_011)).unwrap(); + assert_eq!( + catalog.define_custom_crs(&def(4326)).unwrap(), + CustomCrsWrite::Unchanged + ); + } + let reopened = SystemCatalog::open(&path).unwrap(); + let set = reopened.custom_crs_set(); + assert_eq!(set.len(), 2); + assert_eq!( + set.get(Srid::new(910_010).unwrap()), + Some(&CustomCrsState::Dropped) + ); + assert!(matches!( + set.get(Srid::new(910_011).unwrap()), + Some(CustomCrsState::Live(_)) + )); + } +} diff --git a/nodedb/src/control/security/catalog/srid_refs/mod.rs b/nodedb/src/control/security/catalog/srid_refs/mod.rs new file mode 100644 index 000000000..0b4599c12 --- /dev/null +++ b/nodedb/src/control/security/catalog/srid_refs/mod.rs @@ -0,0 +1,8 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The catalog objects whose definitions name a user-defined SRID. + +pub mod scan; +pub mod text; + +pub use text::text_names_srid; diff --git a/nodedb/src/control/security/catalog/srid_refs/scan.rs b/nodedb/src/control/security/catalog/srid_refs/scan.rs new file mode 100644 index 000000000..1480a3d52 --- /dev/null +++ b/nodedb/src/control/security/catalog/srid_refs/scan.rs @@ -0,0 +1,287 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The catalog scan `DROP SPATIAL_REF_SYS` runs: every catalog object whose +//! definition names a user-defined SRID in an SRID role. +//! +//! Every definition the write path evaluates counts: field and type-guard +//! types, DEFAULT / VALUE / ASSERT expressions, generated columns, type +//! guards, CHECK constraints, transition checks, materialized sums, partial +//! index predicates, events, and an array GEOREF. A number counts only in +//! an SRID role, as `nodedb_query::geo_functions::srid_refs` defines it, so +//! `CHECK (amount < 910001)` does not hold SRID 910001. +//! +//! Stored rows are data, not definitions. A geometry a row stores keeps its +//! code after the drop, and a read of it reports the code as dropped, as +//! PostGIS does for a row whose `spatial_ref_sys` entry is gone. + +use std::borrow::Cow; + +use nodedb_array::schema::ArraySchema; +use nodedb_crs::Srid; +use nodedb_query::expr::SqlExpr; +use nodedb_query::geo_functions::{expr_names_srid, type_names_srid}; +use nodedb_types::columnar::ColumnDef; +use nodedb_types::{CollectionType, DocumentMode}; + +use super::text::text_names_srid; +use crate::control::security::catalog::types::{StoredCollection, SystemCatalog, catalog_err}; + +impl SystemCatalog { + /// Every catalog object whose definition names `srid`, one line each, + /// sorted: `collection '' (tenant , database ): ` or + /// `array '' (tenant , database ): GEOREF`. + pub fn srid_referrers(&self, srid: Srid) -> crate::Result> { + let code = srid.code(); + let mut referrers = Vec::new(); + for coll in self.load_all_collections_across_databases()? { + for part in collection_parts_naming(&coll, code) { + referrers.push(format!( + "collection '{}' (tenant {}, database {}): {part}", + coll.name, + coll.tenant_id, + coll.database_id.as_u64() + )); + } + } + for array in self.load_all_arrays()? { + let schema: ArraySchema = zerompk::from_msgpack(&array.schema_msgpack) + .map_err(|e| catalog_err("decode array schema", e))?; + if schema.georef.as_ref().is_some_and(|g| g.srid == srid) { + referrers.push(format!( + "array '{}' (tenant {}, database {}): GEOREF", + array.name, + array.array_id.tenant_id.as_u64(), + array.array_id.database_id.as_u64() + )); + } + } + referrers.sort(); + referrers.dedup(); + Ok(referrers) + } +} + +/// What one definition part holds. +enum Part<'a> { + /// A type declaration. + Type(&'a str), + /// Expression or statement text. + Text(&'a str), + /// A stored expression tree. + Expr(Cow<'a, SqlExpr>), +} + +impl Part<'_> { + fn names(&self, code: u32) -> bool { + match self { + Part::Type(text) => type_names_srid(text, code), + Part::Text(text) => text_names_srid(text, code), + Part::Expr(expr) => expr_names_srid(expr, code), + } + } +} + +/// The parts of `coll`'s definition that name `code`. +fn collection_parts_naming(coll: &StoredCollection, code: u32) -> Vec { + definition_parts(coll) + .into_iter() + .filter(|(_, part)| part.names(code)) + .map(|(label, _)| label) + .collect() +} + +/// Every evaluated part of `coll`'s definition, labelled for the error. +fn definition_parts(coll: &StoredCollection) -> Vec<(String, Part<'_>)> { + let mut parts = Vec::new(); + for (name, field_type) in &coll.fields { + parts.push((format!("field '{name}' type"), Part::Type(field_type))); + } + for def in &coll.field_defs { + let name = &def.name; + parts.push((format!("field '{name}' type"), Part::Type(&def.field_type))); + parts.push(( + format!("field '{name}' DEFAULT"), + Part::Text(&def.default_expr), + )); + // A generated field stores a serialized tree. Other value text + // parses as an expression. + let value = if def.is_generated { + "generated column" + } else { + "VALUE" + }; + parts.push(( + format!("field '{name}' {value}"), + stored_or_text(&def.value_expr), + )); + parts.push(( + format!("field '{name}' ASSERT"), + Part::Text(&def.assert_expr), + )); + } + for column in strict_columns(&coll.collection_type) { + let name = &column.name; + if let Some(default) = &column.default { + parts.push((format!("column '{name}' DEFAULT"), Part::Text(default))); + } + if let Some(generated) = &column.generated_expr { + parts.push(( + format!("column '{name}' generated column"), + stored_or_text(generated), + )); + } + } + for guard in &coll.type_guards { + let field = &guard.field; + parts.push(( + format!("type guard '{field}' type"), + Part::Type(&guard.type_expr), + )); + for (clause, text) in [ + ("CHECK", &guard.check_expr), + ("DEFAULT", &guard.default_expr), + ("VALUE", &guard.value_expr), + ] { + if let Some(text) = text { + parts.push((format!("type guard '{field}' {clause}"), Part::Text(text))); + } + } + } + for constraint in &coll.check_constraints { + parts.push(( + format!("CHECK constraint '{}'", constraint.name), + Part::Text(&constraint.check_sql), + )); + } + for transition in &coll.transition_checks { + parts.push(( + format!("transition check '{}'", transition.name), + Part::Expr(Cow::Borrowed(&transition.predicate)), + )); + } + for sum in &coll.materialized_sums { + parts.push(( + format!( + "materialized sum into '{}.{}'", + sum.target_collection, sum.target_column + ), + Part::Expr(Cow::Borrowed(&sum.value_expr)), + )); + } + for index in &coll.indexes { + if let Some(predicate) = &index.predicate { + parts.push(( + format!("index '{}' predicate", index.name), + Part::Text(predicate), + )); + } + } + for event in &coll.event_defs { + parts.push(( + format!("event '{}' WHEN", event.name), + Part::Text(&event.when_condition), + )); + parts.push(( + format!("event '{}' THEN", event.name), + Part::Text(&event.then_action), + )); + } + parts +} + +/// A part that holds a serialized expression tree, else expression text. +fn stored_or_text(text: &str) -> Part<'_> { + match sonic_rs::from_str::(text) { + Ok(tree) => Part::Expr(Cow::Owned(tree)), + Err(_) => Part::Text(text), + } +} + +/// The columns of a strict document or key-value schema. +fn strict_columns(collection_type: &CollectionType) -> &[ColumnDef] { + match collection_type { + CollectionType::Document(DocumentMode::Strict(schema)) => &schema.columns, + CollectionType::KeyValue(config) => &config.schema.columns, + CollectionType::Document(DocumentMode::Schemaless) | CollectionType::Columnar(_) => &[], + } +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::control::security::catalog::collection_constraints::{ + CheckConstraintDef, FieldDefinition, + }; + + const CODE: u32 = 910_042; + + fn field(name: &str, value_expr: &str, generated: bool) -> FieldDefinition { + FieldDefinition { + name: name.into(), + field_type: String::new(), + default_expr: String::new(), + value_expr: value_expr.into(), + assert_expr: String::new(), + readonly: false, + sequence_name: None, + is_generated: generated, + generated_deps: Vec::new(), + } + } + + fn check(name: &str, sql: &str) -> CheckConstraintDef { + CheckConstraintDef { + name: name.into(), + check_sql: sql.into(), + has_subquery: false, + } + } + + #[test] + fn every_srid_role_is_reported() { + let (tree, _) = + nodedb_query::expr_parse::parse_generated_expr("ST_Transform(geom, 910042)") + .expect("parses"); + let mut coll = StoredCollection::new(1, "parcels", "admin"); + coll.fields = vec![("site".into(), "GEOMETRY(Point, 910042)".into())]; + coll.field_defs = vec![ + field( + "geom_local", + &sonic_rs::to_string(&tree).expect("encodes"), + true, + ), + field("label", "'parcel'", false), + ]; + coll.check_constraints = vec![check("in_zone", "ST_SRID(ST_SetSRID(NEW.g, 910042)) > 0")]; + coll.type_guards = vec![nodedb_types::TypeGuardFieldDef { + field: "origin".into(), + type_expr: "GEOMETRY".into(), + required: false, + check_expr: None, + default_expr: Some("'SRID=910042;POINT(0 0)'".into()), + value_expr: None, + }]; + assert_eq!( + collection_parts_naming(&coll, CODE), + vec![ + "field 'site' type".to_string(), + "field 'geom_local' generated column".to_string(), + "type guard 'origin' DEFAULT".to_string(), + "CHECK constraint 'in_zone'".to_string(), + ] + ); + assert!(collection_parts_naming(&coll, 910_043).is_empty()); + } + + /// The code as a plain number holds nothing: the drop proceeds. + #[test] + fn the_same_number_in_another_role_is_not_a_reference() { + let mut coll = StoredCollection::new(1, "ledger", "admin"); + coll.check_constraints = vec![ + check("small", "NEW.amount < 910042"), + check("srid_is", "ST_SRID(NEW.g) = 910042"), + ]; + coll.field_defs = vec![field("limit", "910042", false)]; + assert!(collection_parts_naming(&coll, CODE).is_empty()); + } +} diff --git a/nodedb/src/control/security/catalog/srid_refs/text.rs b/nodedb/src/control/security/catalog/srid_refs/text.rs new file mode 100644 index 000000000..5e42c8795 --- /dev/null +++ b/nodedb/src/control/security/catalog/srid_refs/text.rs @@ -0,0 +1,151 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Whether definition text names an SRID in an SRID role. +//! +//! The text parses with the expression parser the write path evaluates +//! definitions with. Text that parser does not take, such as a CHECK with +//! a subquery or an event action, parses as SQL statements instead. Both +//! apply the same rules from `nodedb_query::geo_functions::srid_refs`. +//! Text that parses neither way never evaluates, so it names nothing. + +use std::ops::ControlFlow; + +use nodedb_query::geo_functions::{ + expr_names_srid, literal_geometry_srid, literal_srid_code, srid_arg_position, +}; +use nodedb_types::Value; +use sqlparser::ast::{ + Expr, FunctionArg, FunctionArgExpr, FunctionArguments, ObjectNamePart, Statement, + Value as SqlValue, visit_expressions, +}; +use sqlparser::dialect::GenericDialect; +use sqlparser::parser::Parser; + +/// Whether `text` names `code` in an SRID role. +pub fn text_names_srid(text: &str, code: u32) -> bool { + if text.trim().is_empty() { + return false; + } + if let Ok((expr, _)) = nodedb_query::expr_parse::parse_generated_expr(text) { + return expr_names_srid(&expr, code); + } + match statements(text) { + Some(parsed) => visit_expressions(&parsed, |expr| { + if sql_expr_names_srid(expr, code) { + ControlFlow::Break(()) + } else { + ControlFlow::Continue(()) + } + }) + .is_break(), + None => false, + } +} + +/// `text` as statements, else as the expression of a `SELECT`. +fn statements(text: &str) -> Option> { + let dialect = GenericDialect {}; + // reconstructed-sql: parser-only scans stored SQL text for SRID literals without dispatch + if let Ok(statements) = Parser::parse_sql(&dialect, text) { + return Some(statements); + } + let select = format!("SELECT ({text})"); + // reconstructed-sql: parser-only scans a stored SQL expression for SRID literals without dispatch + Parser::parse_sql(&dialect, &select).ok() +} + +/// Whether one SQL expression node names `code`: a geometry literal, or a +/// literal in a geo function's SRID argument. The visitor reaches every +/// nested node. +fn sql_expr_names_srid(expr: &Expr, code: u32) -> bool { + match expr { + Expr::Value(v) => { + literal_value(&v.value).is_some_and(|value| literal_geometry_srid(&value) == Some(code)) + } + Expr::Function(function) => { + let Some(ObjectNamePart::Identifier(name)) = function.name.0.last() else { + return false; + }; + let (Some(at), FunctionArguments::List(list)) = + (srid_arg_position(&name.value), &function.args) + else { + return false; + }; + match list.args.get(at) { + Some(FunctionArg::Unnamed(FunctionArgExpr::Expr(arg))) => { + srid_literal(arg) == Some(i64::from(code)) + } + _ => false, + } + } + _ => false, + } +} + +/// The code an SRID argument holds when it is a literal, through casts. +fn srid_literal(expr: &Expr) -> Option { + match expr { + Expr::Value(v) => literal_value(&v.value).and_then(|value| literal_srid_code(&value)), + Expr::Cast { expr, .. } | Expr::Nested(expr) => srid_literal(expr), + _ => None, + } +} + +/// A number or string literal as a `Value`. +fn literal_value(value: &SqlValue) -> Option { + match value { + SqlValue::Number(n, _) => n + .parse::() + .map(Value::Integer) + .ok() + .or_else(|| n.parse::().ok().map(Value::Float)), + SqlValue::SingleQuotedString(s) | SqlValue::EscapedStringLiteral(s) => { + Some(Value::String(s.clone())) + } + _ => None, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + const CODE: u32 = 910_042; + + #[test] + fn expression_text_names_only_srid_roles() { + assert!(text_names_srid("ST_Transform(geom, 910042)", CODE)); + assert!(!text_names_srid("amount < 910042", CODE)); + assert!(!text_names_srid("", CODE)); + } + + #[test] + fn check_text_with_new_and_subqueries_parses_as_sql() { + assert!(text_names_srid( + "ST_SRID(ST_Transform(NEW.loc, 910042)) = 910042", + CODE + )); + assert!(!text_names_srid("NEW.amount < 910042", CODE)); + assert!(text_names_srid( + "EXISTS (SELECT 1 FROM zones z WHERE ST_Intersects(z.g, \ + ST_SetSRID(NEW.loc, 910042)))", + CODE + )); + assert!(!text_names_srid( + "EXISTS (SELECT 1 FROM zones z WHERE z.code = 910042)", + CODE + )); + } + + #[test] + fn statement_text_names_geometry_literals() { + assert!(text_names_srid( + "INSERT INTO log (g) VALUES ('SRID=910042;POINT(1 2)')", + CODE + )); + assert!(!text_names_srid( + "INSERT INTO log (n) VALUES (910042)", + CODE + )); + } +} diff --git a/nodedb/src/control/security/catalog/surrogate_hwm.rs b/nodedb/src/control/security/catalog/surrogate_hwm.rs index a4bb832c0..d2019f521 100644 --- a/nodedb/src/control/security/catalog/surrogate_hwm.rs +++ b/nodedb/src/control/security/catalog/surrogate_hwm.rs @@ -31,6 +31,7 @@ impl SystemCatalog { pub fn put_surrogate_hwm(&self, hwm: u32) -> crate::Result<()> { #[cfg(test)] if self + .faults .fail_next_surrogate_write .swap(false, std::sync::atomic::Ordering::SeqCst) { @@ -64,6 +65,7 @@ impl SystemCatalog { pub fn put_surrogate_reserve_state(&self, hwm: u32, reserve_index: u64) -> crate::Result<()> { #[cfg(test)] if self + .faults .fail_next_surrogate_write .swap(false, std::sync::atomic::Ordering::SeqCst) { diff --git a/nodedb/src/control/security/catalog/system_catalog.rs b/nodedb/src/control/security/catalog/system_catalog.rs index 76ac11a4b..b862e9c3f 100644 --- a/nodedb/src/control/security/catalog/system_catalog.rs +++ b/nodedb/src/control/security/catalog/system_catalog.rs @@ -2,13 +2,12 @@ //! SystemCatalog: redb-backed persistent catalog database. //! -//! Opens or creates the system.redb file, initializes all tables, -//! and provides raw WASM module storage methods. +//! Opens or creates the system.redb file and initializes all tables. use std::path::Path; use std::sync::Arc; -use redb::{Database, ReadableDatabase, ReadableTable}; +use redb::{Database, ReadableDatabase}; use tracing::info; use super::types::*; @@ -24,26 +23,14 @@ pub struct SystemCatalog { /// Committed DEFINE EVENT definitions, for readers that must not read /// redb. pub(super) event_defs: Arc, + /// The user-defined CRS set, loaded at open and swapped on each write. + pub(super) crs_set: Arc>>, /// Whether a barrier log row committed without persisting since the /// last `persist_calvin_barrier_logs`. pub(super) calvin_barrier_logs_pending: Arc, + /// Test-only fault switches and read counters. #[cfg(test)] - pub(super) fail_next_calvin_barrier_persist: Arc, - #[cfg(test)] - pub(super) fail_next_calvin_barrier_replace: Arc, - #[cfg(test)] - pub(super) fail_next_user_counter_write: Arc, - #[cfg(test)] - pub(super) fail_next_function_wasm_write: Arc, - #[cfg(test)] - pub(super) fail_next_collection_write: Arc, - #[cfg(test)] - pub(super) fail_next_surrogate_write: Arc, - #[cfg(test)] - pub(super) fail_next_redo_snapshot_owed_write: Arc, - /// Audit rows the DML position read decoded, so a test can tell a range read from a full scan. - #[cfg(test)] - pub(super) dml_audit_rows_read: Arc, + pub(super) faults: super::test_faults::CatalogTestFaults, } impl crate::storage::RedbBacked for SystemCatalog { @@ -67,31 +54,7 @@ impl SystemCatalog { info!(path = %path.display(), "system catalog opened"); } - let catalog = Self { - db: Arc::new(db), - crdt_signing_root: Arc::new(std::sync::RwLock::new(None)), - event_defs: Arc::new(super::event_defs_index::EventDefsIndex::new()), - calvin_barrier_logs_pending: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_calvin_barrier_persist: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_calvin_barrier_replace: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_user_counter_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_function_wasm_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_collection_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_surrogate_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_redo_snapshot_owed_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - dml_audit_rows_read: Arc::new(std::sync::atomic::AtomicU64::new(0)), - }; - catalog.bootstrap_default_database()?; - catalog.reload_event_definitions()?; - Ok(catalog) + Self::from_bootstrapped(db) } /// Open a non-persistent system catalog backed by an in-memory redb @@ -102,83 +65,29 @@ impl SystemCatalog { .create_with_backend(redb::backends::InMemoryBackend::new()) .map_err(|e| catalog_err("open in-memory", e))?; Self::ensure_bootstrapped(&db)?; + Self::from_bootstrapped(db) + } + + /// The catalog over `db`, whose tables exist: seeds the default database + /// and loads the event definitions and the custom CRS set. + fn from_bootstrapped(db: Database) -> crate::Result { let catalog = Self { db: Arc::new(db), crdt_signing_root: Arc::new(std::sync::RwLock::new(None)), event_defs: Arc::new(super::event_defs_index::EventDefsIndex::new()), + crs_set: Arc::new(std::sync::RwLock::new(Arc::new( + nodedb_crs::CustomCrsSet::new(), + ))), calvin_barrier_logs_pending: Arc::new(std::sync::atomic::AtomicBool::new(false)), #[cfg(test)] - fail_next_calvin_barrier_persist: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_calvin_barrier_replace: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_user_counter_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_function_wasm_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_collection_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_surrogate_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - fail_next_redo_snapshot_owed_write: Arc::new(std::sync::atomic::AtomicBool::new(false)), - #[cfg(test)] - dml_audit_rows_read: Arc::new(std::sync::atomic::AtomicU64::new(0)), + faults: super::test_faults::CatalogTestFaults::default(), }; catalog.bootstrap_default_database()?; catalog.reload_event_definitions()?; + catalog.reload_custom_crs_set()?; Ok(catalog) } - #[cfg(test)] - pub(crate) fn fail_next_user_counter_write_for_test(&self) { - self.fail_next_user_counter_write - .store(true, std::sync::atomic::Ordering::SeqCst); - } - - #[cfg(test)] - pub(crate) fn fail_next_function_wasm_write_for_test(&self) { - self.fail_next_function_wasm_write - .store(true, std::sync::atomic::Ordering::SeqCst); - } - - /// Make the next `put_collection` raise, so an applier's error path runs. - #[cfg(test)] - pub(crate) fn fail_next_collection_write_for_test(&self) { - self.fail_next_collection_write - .store(true, std::sync::atomic::Ordering::SeqCst); - } - - /// Make the next surrogate watermark write raise, so an applier's error - /// path runs. - #[cfg(test)] - pub(crate) fn fail_next_surrogate_write_for_test(&self) { - self.fail_next_surrogate_write - .store(true, std::sync::atomic::Ordering::SeqCst); - } - - /// Make the next `save_redo_snapshot_owed` raise, so a held group's debt - /// write fails once. - #[cfg(test)] - pub(crate) fn fail_next_redo_snapshot_owed_write_for_test(&self) { - self.fail_next_redo_snapshot_owed_write - .store(true, std::sync::atomic::Ordering::SeqCst); - } - - /// Make the next `persist_calvin_barrier_logs` raise. The pending rows - /// stay pending. - #[cfg(test)] - pub(crate) fn fail_next_calvin_barrier_persist_for_test(&self) { - self.fail_next_calvin_barrier_persist - .store(true, std::sync::atomic::Ordering::SeqCst); - } - - /// Make the next `replace_calvin_barrier_logs` raise before it commits. - #[cfg(test)] - pub(crate) fn fail_next_calvin_barrier_replace_for_test(&self) { - self.fail_next_calvin_barrier_replace - .store(true, std::sync::atomic::Ordering::SeqCst); - } - /// Bootstrap every `_system.*` table from the canonical registry — /// but only if at least one is actually missing. Probing read-only /// first keeps `open` byte-idempotent on an already-bootstrapped @@ -212,67 +121,6 @@ impl SystemCatalog { } Ok(needs_bootstrap) } - - /// Execute a write transaction on the WASM_MODULES table. - fn wasm_write(&self, op: &str, f: F) -> crate::Result - where - F: FnOnce(&mut redb::Table<&str, &[u8]>) -> crate::Result, - { - let txn = self - .db - .begin_write() - .map_err(|e| catalog_err(&format!("{op} txn"), e))?; - let result = { - let mut table = txn - .open_table(WASM_MODULES) - .map_err(|e| catalog_err(&format!("{op} open"), e))?; - f(&mut table)? - }; - txn.commit() - .map_err(|e| catalog_err(&format!("{op} commit"), e))?; - Ok(result) - } - - /// Store raw bytes under a string key in the WASM_MODULES table. - pub fn put_raw(&self, key: &[u8], value: &[u8]) -> crate::Result<()> { - let key_str = std::str::from_utf8(key).map_err(|e| catalog_err("put_raw key", e))?; - self.wasm_write("put_raw", |table| { - table - .insert(key_str, value) - .map_err(|e| catalog_err("put_raw insert", e))?; - Ok(()) - }) - } - - /// Load raw bytes by string key from the WASM_MODULES table. - pub fn get_raw(&self, key: &[u8]) -> crate::Result>> { - let key_str = std::str::from_utf8(key).map_err(|e| catalog_err("get_raw key", e))?; - let txn = self - .db - .begin_read() - .map_err(|e| catalog_err("get_raw txn", e))?; - let table = txn - .open_table(WASM_MODULES) - .map_err(|e| catalog_err("get_raw open", e))?; - match table - .get(key_str) - .map_err(|e| catalog_err("get_raw get", e))? - { - Some(v) => Ok(Some(v.value().to_vec())), - None => Ok(None), - } - } - - /// Delete raw bytes by string key from the WASM_MODULES table. - pub fn delete_raw(&self, key: &[u8]) -> crate::Result<()> { - let key_str = std::str::from_utf8(key).map_err(|e| catalog_err("delete_raw key", e))?; - self.wasm_write("delete_raw", |table| { - table - .remove(key_str) - .map_err(|e| catalog_err("delete_raw remove", e))?; - Ok(()) - }) - } } #[cfg(test)] diff --git a/nodedb/src/control/security/catalog/tables.rs b/nodedb/src/control/security/catalog/tables.rs index 7721d3c0c..b7d1e97da 100644 --- a/nodedb/src/control/security/catalog/tables.rs +++ b/nodedb/src/control/security/catalog/tables.rs @@ -240,6 +240,11 @@ pub(super) const SYNONYM_GROUPS: TableDefinition<&str, &[u8]> = pub(super) const CUSTOM_TYPES: TableDefinition<&str, &[u8]> = TableDefinition::new("_system.custom_types"); +/// Table: SRID code -> MessagePack-serialized `CustomCrs`: a user-defined +/// CRS or the tombstone of a dropped one. +pub(super) const SPATIAL_REF_SYS: TableDefinition = + TableDefinition::new("_system.spatial_ref_sys"); + /// Table: "wasm_module:{sha256_hex}" -> raw WASM binary bytes. pub(super) const WASM_MODULES: TableDefinition<&str, &[u8]> = TableDefinition::new("_system.wasm_modules"); diff --git a/nodedb/src/control/security/catalog/test_faults.rs b/nodedb/src/control/security/catalog/test_faults.rs new file mode 100644 index 000000000..ba91e22d9 --- /dev/null +++ b/nodedb/src/control/security/catalog/test_faults.rs @@ -0,0 +1,77 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Test-only fault switches of the system catalog: each makes the next write +//! of one kind raise, so a caller's error path runs. + +use std::sync::Arc; +use std::sync::atomic::{AtomicBool, AtomicU64, Ordering}; + +use super::system_catalog::SystemCatalog; + +/// The fault switches and read counters a test arms on a catalog. Clones of +/// one catalog share them. +#[derive(Clone, Default)] +pub(super) struct CatalogTestFaults { + pub(super) fail_next_calvin_barrier_persist: Arc, + pub(super) fail_next_calvin_barrier_replace: Arc, + pub(super) fail_next_user_counter_write: Arc, + pub(super) fail_next_function_wasm_write: Arc, + pub(super) fail_next_collection_write: Arc, + pub(super) fail_next_surrogate_write: Arc, + pub(super) fail_next_redo_snapshot_owed_write: Arc, + /// Audit rows the DML position read decoded, so a test can tell a range + /// read from a full scan. + pub(super) dml_audit_rows_read: Arc, +} + +impl SystemCatalog { + pub(crate) fn fail_next_user_counter_write_for_test(&self) { + self.faults + .fail_next_user_counter_write + .store(true, Ordering::SeqCst); + } + + pub(crate) fn fail_next_function_wasm_write_for_test(&self) { + self.faults + .fail_next_function_wasm_write + .store(true, Ordering::SeqCst); + } + + /// Make the next `put_collection` raise, so an applier's error path runs. + pub(crate) fn fail_next_collection_write_for_test(&self) { + self.faults + .fail_next_collection_write + .store(true, Ordering::SeqCst); + } + + /// Make the next surrogate watermark write raise, so an applier's error + /// path runs. + pub(crate) fn fail_next_surrogate_write_for_test(&self) { + self.faults + .fail_next_surrogate_write + .store(true, Ordering::SeqCst); + } + + /// Make the next `save_redo_snapshot_owed` raise, so a held group's debt + /// write fails once. + pub(crate) fn fail_next_redo_snapshot_owed_write_for_test(&self) { + self.faults + .fail_next_redo_snapshot_owed_write + .store(true, Ordering::SeqCst); + } + + /// Make the next `persist_calvin_barrier_logs` raise. The pending rows + /// stay pending. + pub(crate) fn fail_next_calvin_barrier_persist_for_test(&self) { + self.faults + .fail_next_calvin_barrier_persist + .store(true, Ordering::SeqCst); + } + + /// Make the next `replace_calvin_barrier_logs` raise before it commits. + pub(crate) fn fail_next_calvin_barrier_replace_for_test(&self) { + self.faults + .fail_next_calvin_barrier_replace + .store(true, Ordering::SeqCst); + } +} diff --git a/nodedb/src/control/security/catalog/users.rs b/nodedb/src/control/security/catalog/users.rs index 2e29db9b7..96ec361c5 100644 --- a/nodedb/src/control/security/catalog/users.rs +++ b/nodedb/src/control/security/catalog/users.rs @@ -99,6 +99,7 @@ impl SystemCatalog { } #[cfg(test)] if self + .faults .fail_next_user_counter_write .swap(false, std::sync::atomic::Ordering::SeqCst) { diff --git a/nodedb/src/control/security/catalog/vshard_residency.rs b/nodedb/src/control/security/catalog/vshard_residency.rs new file mode 100644 index 000000000..182e8d2c9 --- /dev/null +++ b/nodedb/src/control/security/catalog/vshard_residency.rs @@ -0,0 +1,165 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The vShards this node hosts, and the ones it left whose data it still +//! owes a purge, backing `_system.vshard_residency`. +//! +//! A row is written when a vShard starts being hosted here and changes when +//! it leaves, so a departure that happens while this node is down is found +//! at the next boot. A departed row records the WAL barrier its purge wrote +//! and whether the purge finished. It goes once the WAL no longer holds a +//! record below the barrier: no replay can bring a purged row back then. +//! +//! Table: `vshard_id` -> MessagePack [`VShardResidency`]. + +use redb::{ReadableDatabase, ReadableTable, TableDefinition}; + +use super::types::{SystemCatalog, catalog_err}; + +pub(super) const VSHARD_RESIDENCY: TableDefinition = + TableDefinition::new("_system.vshard_residency"); + +/// Where one vShard stands on this node. +#[derive(Debug, Clone, Copy, PartialEq, Eq, zerompk::ToMessagePack, zerompk::FromMessagePack)] +#[msgpack(map)] +pub struct VShardResidency { + /// Whether the vShard left this node. + pub departed: bool, + /// The WAL position the purge's barrier names: replay skips every record + /// of a purged collection below it. `0` until the barrier is written. + pub barrier_lsn: u64, + /// Whether every core purged the vShard's data. + pub purged: bool, +} + +impl VShardResidency { + /// A vShard this node hosts. + pub const HOSTED: Self = Self { + departed: false, + barrier_lsn: 0, + purged: false, + }; + + /// A vShard that left, with its purge not yet run. + pub const DEPARTED: Self = Self { + departed: true, + barrier_lsn: 0, + purged: false, + }; +} + +/// One change of a row: `Some` writes it, `None` removes it. +pub type ResidencyChange = (u32, Option); + +impl SystemCatalog { + /// Every residency row, in vShard order. + pub fn load_vshard_residency(&self) -> crate::Result> { + let txn = self + .db + .begin_read() + .map_err(|e| catalog_err("vshard_residency read txn", e))?; + let table = txn + .open_table(VSHARD_RESIDENCY) + .map_err(|e| catalog_err("open vshard_residency", e))?; + let mut out = Vec::new(); + for row in table + .iter() + .map_err(|e| catalog_err("iterate vshard_residency", e))? + { + let (vshard_id, value) = row.map_err(|e| catalog_err("read vshard_residency", e))?; + let residency: VShardResidency = + zerompk::from_msgpack(value.value()).map_err(|e| crate::Error::Serialization { + format: "msgpack".into(), + detail: format!("vshard_residency row of vShard {}: {e}", vshard_id.value()), + })?; + out.push((vshard_id.value(), residency)); + } + Ok(out) + } + + /// Apply every change of `changes` in one transaction. + pub fn apply_vshard_residency(&self, changes: &[ResidencyChange]) -> crate::Result<()> { + if changes.is_empty() { + return Ok(()); + } + let txn = self + .db + .begin_write() + .map_err(|e| catalog_err("vshard_residency write txn", e))?; + { + let mut table = txn + .open_table(VSHARD_RESIDENCY) + .map_err(|e| catalog_err("open vshard_residency", e))?; + for (vshard_id, change) in changes { + match change { + Some(residency) => { + let bytes = zerompk::to_msgpack_vec(residency).map_err(|e| { + crate::Error::Serialization { + format: "msgpack".into(), + detail: format!("vshard_residency row of vShard {vshard_id}: {e}"), + } + })?; + table + .insert(*vshard_id, bytes.as_slice()) + .map_err(|e| catalog_err("insert vshard_residency", e))?; + } + None => { + table + .remove(*vshard_id) + .map_err(|e| catalog_err("remove vshard_residency", e))?; + } + } + } + } + txn.commit() + .map_err(|e| catalog_err("vshard_residency commit", e)) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn rows_change_and_survive_a_reopen() { + let dir = tempfile::tempdir().expect("tempdir"); + let path = dir.path().join("system.redb"); + { + let catalog = SystemCatalog::open(&path).expect("open"); + catalog + .apply_vshard_residency(&[ + (3, Some(VShardResidency::HOSTED)), + (4, Some(VShardResidency::HOSTED)), + (5, Some(VShardResidency::DEPARTED)), + ]) + .expect("write"); + catalog + .apply_vshard_residency(&[ + (4, None), + ( + 5, + Some(VShardResidency { + departed: true, + barrier_lsn: 9, + purged: true, + }), + ), + ]) + .expect("change"); + } + let catalog = SystemCatalog::open(&path).expect("reopen"); + assert_eq!( + catalog.load_vshard_residency().expect("load"), + vec![ + (3, VShardResidency::HOSTED), + ( + 5, + VShardResidency { + departed: true, + barrier_lsn: 9, + purged: true, + } + ), + ] + ); + } +} diff --git a/nodedb/src/control/security/catalog/wasm_raw.rs b/nodedb/src/control/security/catalog/wasm_raw.rs new file mode 100644 index 000000000..987ee66fa --- /dev/null +++ b/nodedb/src/control/security/catalog/wasm_raw.rs @@ -0,0 +1,70 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Raw byte storage in the `WASM_MODULES` table, keyed by string. + +use redb::{ReadableDatabase, ReadableTable}; + +use super::types::{SystemCatalog, WASM_MODULES, catalog_err}; + +impl SystemCatalog { + /// Execute a write transaction on the WASM_MODULES table. + fn wasm_write(&self, op: &str, f: F) -> crate::Result + where + F: FnOnce(&mut redb::Table<&str, &[u8]>) -> crate::Result, + { + let txn = self + .db + .begin_write() + .map_err(|e| catalog_err(&format!("{op} txn"), e))?; + let result = { + let mut table = txn + .open_table(WASM_MODULES) + .map_err(|e| catalog_err(&format!("{op} open"), e))?; + f(&mut table)? + }; + txn.commit() + .map_err(|e| catalog_err(&format!("{op} commit"), e))?; + Ok(result) + } + + /// Store raw bytes under a string key in the WASM_MODULES table. + pub fn put_raw(&self, key: &[u8], value: &[u8]) -> crate::Result<()> { + let key_str = std::str::from_utf8(key).map_err(|e| catalog_err("put_raw key", e))?; + self.wasm_write("put_raw", |table| { + table + .insert(key_str, value) + .map_err(|e| catalog_err("put_raw insert", e))?; + Ok(()) + }) + } + + /// Load raw bytes by string key from the WASM_MODULES table. + pub fn get_raw(&self, key: &[u8]) -> crate::Result>> { + let key_str = std::str::from_utf8(key).map_err(|e| catalog_err("get_raw key", e))?; + let txn = self + .db + .begin_read() + .map_err(|e| catalog_err("get_raw txn", e))?; + let table = txn + .open_table(WASM_MODULES) + .map_err(|e| catalog_err("get_raw open", e))?; + match table + .get(key_str) + .map_err(|e| catalog_err("get_raw get", e))? + { + Some(v) => Ok(Some(v.value().to_vec())), + None => Ok(None), + } + } + + /// Delete raw bytes by string key from the WASM_MODULES table. + pub fn delete_raw(&self, key: &[u8]) -> crate::Result<()> { + let key_str = std::str::from_utf8(key).map_err(|e| catalog_err("delete_raw key", e))?; + self.wasm_write("delete_raw", |table| { + table + .remove(key_str) + .map_err(|e| catalog_err("delete_raw remove", e))?; + Ok(()) + }) + } +} diff --git a/nodedb/src/control/security/conditional/parse.rs b/nodedb/src/control/security/conditional/parse.rs index 405340874..b7e37b321 100644 --- a/nodedb/src/control/security/conditional/parse.rs +++ b/nodedb/src/control/security/conditional/parse.rs @@ -25,7 +25,7 @@ //! a condition that failed to parse would leave a grant looking conditional //! while applying unconditionally. -use crate::control::security::blacklist::ip::CidrRange; +use crate::control::security::net::Cidr; use super::condition::{DEFAULT_STEP_UP_SECS, GrantCondition, WEEKDAYS, WEEKENDS}; @@ -208,7 +208,7 @@ fn parse_require_ip(tokens: &[&str], start: usize) -> crate::Result<(GrantCondit if cidr.is_empty() { continue; } - if CidrRange::parse(cidr).is_none() { + if Cidr::parse(cidr).is_none() { return Err(condition_error(format!( "REQUIRE IP IN: '{cidr}' is not a valid IP address or CIDR range" ))); diff --git a/nodedb/src/control/security/egress/client.rs b/nodedb/src/control/security/egress/client.rs new file mode 100644 index 000000000..93bcaa3bd --- /dev/null +++ b/nodedb/src/control/security/egress/client.rs @@ -0,0 +1,195 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The HTTP client every egress request goes through: the policy-checking +//! resolver, a redirect policy that checks every hop, no system proxy, and +//! bounded timeouts. + +use std::sync::Arc; +use std::time::Duration; + +use super::policy::{EgressError, EgressPolicy}; +use super::resolver::{EgressResolver, HostLookup, SystemLookup}; + +/// Timeouts and the redirect cap of one client. +#[derive(Debug, Clone, Copy)] +pub struct EgressClientOptions { + /// Cap on a whole request. `None` bounds only the connect and each read. + pub timeout: Option, + pub connect_timeout: Duration, + /// Cap on the time between two reads of a response. + pub read_timeout: Duration, + pub max_redirects: usize, +} + +/// Why a redirect was not followed. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum RedirectError { + #[error("the request exceeded {0} redirects")] + TooMany(usize), + #[error("a redirect hop was refused: {0}")] + Refused(EgressError), +} + +/// A client that reaches only what `policy` allows. Each redirect hop's URL +/// is checked, and each host it resolves passes through the resolver. +pub fn egress_client( + policy: Arc, + lookup: Arc, + options: EgressClientOptions, +) -> Result { + let hop_policy = Arc::clone(&policy); + let max = options.max_redirects; + let mut builder = reqwest::Client::builder() + .no_proxy() + .connect_timeout(options.connect_timeout) + .read_timeout(options.read_timeout) + .dns_resolver(EgressResolver::new(policy, lookup)) + .redirect(reqwest::redirect::Policy::custom(move |attempt| { + if attempt.previous().len() >= max { + return attempt.error(RedirectError::TooMany(max)); + } + match hop_policy.check_parsed(attempt.url()) { + Ok(()) => attempt.follow(), + Err(e) => attempt.error(RedirectError::Refused(e)), + } + })); + if let Some(timeout) = options.timeout { + builder = builder.timeout(timeout); + } + builder.build() +} + +/// The options of the shared outbound client: each request sets its own +/// total timeout, and no redirect is followed. +pub const OUTBOUND_OPTIONS: EgressClientOptions = EgressClientOptions { + timeout: None, + connect_timeout: Duration::from_secs(10), + read_timeout: Duration::from_secs(30), + max_redirects: 0, +}; + +/// The client the server's own outbound requests share: alert webhooks, +/// SIEM export, OTLP export and the key-management client. It resolves +/// through the system resolver under `policy`. The caller checks each URL +/// with [`EgressPolicy::check_url`] before it sends: an IP-literal host is +/// never resolved, so only that check refuses one. +pub fn outbound_client(policy: Arc) -> Result { + egress_client(policy, Arc::new(SystemLookup), OUTBOUND_OPTIONS) +} + +/// What an egress request failed on. +#[derive(Debug, Clone, PartialEq, Eq)] +pub enum EgressFault { + /// The policy refused a redirect hop or a resolved address. + Refused(EgressError), + /// The request exceeded its redirect cap. + TooManyRedirects(usize), + /// Any other error: connect, TLS, timeout, status or body read. + Other, +} + +/// The egress fault behind a failed send or body read of an egress client. +pub fn classify(error: &reqwest::Error) -> EgressFault { + match find_cause::(error) { + Some(RedirectError::TooMany(max)) => EgressFault::TooManyRedirects(max), + Some(RedirectError::Refused(refused)) => EgressFault::Refused(refused), + None => match find_cause::(error) { + Some(refused) => EgressFault::Refused(refused), + None => EgressFault::Other, + }, + } +} + +/// The first `T` in the source chain of `error`. A boxed error in the +/// chain exposes its inner error as its source, so the walk reaches it. +fn find_cause(error: &reqwest::Error) -> Option { + let mut source: Option<&(dyn std::error::Error + 'static)> = std::error::Error::source(error); + while let Some(e) = source { + if let Some(found) = e.downcast_ref::() { + return Some(found.clone()); + } + source = e.source(); + } + None +} + +#[cfg(test)] +mod tests { + use tokio::io::{AsyncReadExt, AsyncWriteExt}; + use tokio::net::TcpListener; + + use super::*; + use crate::control::security::egress::resolver::tests::table; + + fn client(policy: EgressPolicy, max_redirects: usize) -> reqwest::Client { + egress_client( + Arc::new(policy), + table(&[("mirror.test", "127.0.0.1"), ("rebind.test", "127.0.0.1")]), + EgressClientOptions { + timeout: Some(Duration::from_secs(5)), + connect_timeout: Duration::from_secs(5), + read_timeout: Duration::from_secs(5), + max_redirects, + }, + ) + .expect("client") + } + + fn mirror_policy() -> EgressPolicy { + EgressPolicy::from_parts(true, &["mirror.test".into()], &["127.0.0.0/8".into()]) + .expect("valid policy") + } + + /// A loopback server that answers every request with a redirect to + /// itself. Returns its port. + async fn redirect_loop() -> u16 { + let listener = TcpListener::bind("127.0.0.1:0").await.expect("bind"); + let port = listener.local_addr().expect("addr").port(); + tokio::spawn(async move { + while let Ok((mut socket, _)) = listener.accept().await { + tokio::spawn(async move { + let mut request = [0u8; 2048]; + let _ = socket.read(&mut request).await; + let answer = format!( + "HTTP/1.1 302 Found\r\nLocation: http://mirror.test:{port}/next\r\n\ + Content-Length: 0\r\nConnection: close\r\n\r\n" + ); + let _ = socket.write_all(answer.as_bytes()).await; + }); + } + }); + port + } + + #[tokio::test] + async fn each_fault_is_classified() { + let port = redirect_loop().await; + let err = client(mirror_policy(), 0) + .get(format!("http://mirror.test:{port}/a")) + .send() + .await + .expect_err("redirect cap"); + assert_eq!(classify(&err), EgressFault::TooManyRedirects(0)); + + let err = client(mirror_policy(), 3) + .get(format!("http://rebind.test:{port}/a")) + .send() + .await + .expect_err("loopback refused"); + assert_eq!( + classify(&err), + EgressFault::Refused(EgressError::PrivateAddress) + ); + + // An allowed host with nothing listening fails at connect. + let closed = TcpListener::bind("127.0.0.1:0").await.expect("bind"); + let closed_port = closed.local_addr().expect("addr").port(); + drop(closed); + let err = client(mirror_policy(), 3) + .get(format!("http://mirror.test:{closed_port}/a")) + .send() + .await + .expect_err("connection refused"); + assert_eq!(classify(&err), EgressFault::Other); + } +} diff --git a/nodedb/src/control/security/egress/global_unicast.rs b/nodedb/src/control/security/egress/global_unicast.rs new file mode 100644 index 000000000..6fdcd0a17 --- /dev/null +++ b/nodedb/src/control/security/egress/global_unicast.rs @@ -0,0 +1,169 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The global-unicast test an egress check runs on every resolved address. + +use std::net::{IpAddr, Ipv4Addr, Ipv6Addr}; + +/// Whether `ip` is a routable global unicast address: not loopback, +/// private, link-local, shared (CGNAT), documentation, benchmarking, +/// multicast, broadcast, unspecified or reserved. An IPv6 address that +/// embeds an IPv4 address passes only when that IPv4 address passes. +pub fn is_global_unicast(ip: &IpAddr) -> bool { + match ip { + IpAddr::V4(v4) => is_global_v4(v4), + IpAddr::V6(v6) => is_global_v6(v6), + } +} + +fn is_global_v4(v4: &Ipv4Addr) -> bool { + let o = v4.octets(); + !(v4.is_loopback() + || v4.is_private() + || v4.is_link_local() + || v4.is_broadcast() + || v4.is_multicast() + || v4.is_unspecified() + || v4.is_documentation() + || o[0] == 0 + || (o[0] == 100 && (o[1] & 0xC0) == 64) + || (o[0] == 192 && o[1] == 0 && o[2] == 0) + || (o[0] == 198 && (o[1] & 0xFE) == 18) + || o[0] >= 240) +} + +fn is_global_v6(v6: &Ipv6Addr) -> bool { + if let Some(v4) = embedded_v4(v6) { + return is_global_v4(&v4); + } + let seg = v6.segments(); + !(v6.is_multicast() + // Link-local fe80::/10 and site-local fec0::/10. + || (seg[0] & 0xffc0) == 0xfe80 + || (seg[0] & 0xffc0) == 0xfec0 + // Unique local fc00::/7. + || (seg[0] & 0xfe00) == 0xfc00 + // NAT64 local-use 64:ff9b:1::/48: the IPv4 position depends on a + // site-chosen prefix length, and the block is not globally reachable. + || (seg[0] == 0x0064 && seg[1] == 0xff9b && seg[2] == 0x0001) + // Discard-only 100::/64. + || (seg[0] == 0x0100 && seg[1] == 0 && seg[2] == 0 && seg[3] == 0) + // Teredo 2001::/32 tunnels to an obfuscated IPv4 endpoint. + || (seg[0] == 0x2001 && seg[1] == 0) + // Benchmarking 2001:2::/48. + || (seg[0] == 0x2001 && seg[1] == 0x0002 && seg[2] == 0) + // Documentation 2001:db8::/32 and 3fff::/20. + || (seg[0] == 0x2001 && seg[1] == 0x0db8) + || (seg[0] == 0x3fff && (seg[1] & 0xf000) == 0)) +} + +/// The IPv4 address an IPv6 address carries in a form that reaches it: +/// IPv4-mapped `::ffff:0:0/96`, IPv4-compatible `::/96` (the loopback and +/// unspecified addresses among them), NAT64 `64:ff9b::/96` and 6to4 +/// `2002::/16`. +fn embedded_v4(v6: &Ipv6Addr) -> Option { + let seg = v6.segments(); + let low = |hi: u16, lo: u16| Ipv4Addr::from((u32::from(hi) << 16) | u32::from(lo)); + if seg[..5] == [0; 5] && (seg[5] == 0 || seg[5] == 0xffff) { + return Some(low(seg[6], seg[7])); + } + if seg[..6] == [0x0064, 0xff9b, 0, 0, 0, 0] { + return Some(low(seg[6], seg[7])); + } + if seg[0] == 0x2002 { + return Some(low(seg[1], seg[2])); + } + None +} + +#[cfg(test)] +mod tests { + use super::*; + + fn global(s: &str) -> bool { + is_global_unicast(&s.parse().expect("ip")) + } + + #[test] + fn private_loopback_and_link_local_are_not_global() { + for ip in [ + "127.0.0.1", + "10.1.2.3", + "172.16.0.1", + "192.168.1.1", + "169.254.169.254", + "100.64.0.1", + "::1", + "::", + "fe80::1", + "fd00::1", + "ff02::1", + "2001:db8::1", + ] { + assert!(!global(ip), "{ip}"); + } + assert!(global("93.184.216.34")); + assert!(global("2606:2800:220:1:248:1893:25c8:1946")); + } + + #[test] + fn ipv4_mapped_takes_the_ipv4_verdict() { + assert!(!global("::ffff:127.0.0.1")); + assert!(!global("::ffff:169.254.169.254")); + assert!(global("::ffff:93.184.216.34")); + } + + #[test] + fn ipv4_compatible_takes_the_ipv4_verdict() { + assert!(!global("::127.0.0.1")); + assert!(!global("::10.0.0.1")); + assert!(global("::93.184.216.34")); + } + + #[test] + fn nat64_well_known_takes_the_ipv4_verdict() { + assert!(!global("64:ff9b::127.0.0.1")); + assert!(!global("64:ff9b::a9fe:a9fe")); + assert!(global("64:ff9b::93.184.216.34")); + } + + #[test] + fn nat64_local_use_is_not_global() { + assert!(!global("64:ff9b:1::5db8:d822")); + assert!(!global("64:ff9b:1:ffff::1")); + } + + #[test] + fn six_to_four_takes_the_ipv4_verdict() { + // 2002:WWXX:YYZZ:: embeds WW.XX.YY.ZZ. + assert!(!global("2002:7f00:1::1")); + assert!(!global("2002:c0a8:101::")); + assert!(global("2002:5db8:d822::1")); + } + + #[test] + fn teredo_is_not_global() { + assert!(!global("2001:0:4136:e378:8000:63bf:3fff:fdd2")); + assert!(!global("2001::1")); + } + + #[test] + fn site_local_is_not_global() { + assert!(!global("fec0::1")); + assert!(!global("feff::1")); + } + + #[test] + fn discard_only_is_not_global() { + assert!(!global("100::1")); + assert!(!global("100::ffff:ffff:ffff:ffff")); + assert!(global("100:0:0:1::1")); + } + + #[test] + fn benchmarking_and_documentation_are_not_global() { + assert!(!global("2001:2::1")); + assert!(!global("3fff::1")); + assert!(!global("3fff:fff::1")); + assert!(global("2001:4860::8888")); + } +} diff --git a/nodedb/src/control/security/egress/mod.rs b/nodedb/src/control/security/egress/mod.rs new file mode 100644 index 000000000..4c4654235 --- /dev/null +++ b/nodedb/src/control/security/egress/mod.rs @@ -0,0 +1,16 @@ +// SPDX-License-Identifier: BUSL-1.1 + +pub mod client; +pub mod global_unicast; +pub mod policy; +pub mod remote; +pub mod resolver; + +pub use client::{ + EgressClientOptions, EgressFault, OUTBOUND_OPTIONS, RedirectError, classify, egress_client, + outbound_client, +}; +pub use global_unicast::is_global_unicast; +pub use policy::{EgressError, EgressPolicy}; +pub use remote::RemoteSources; +pub use resolver::{EgressResolver, HostLookup, SystemLookup}; diff --git a/nodedb/src/control/security/egress/policy.rs b/nodedb/src/control/security/egress/policy.rs new file mode 100644 index 000000000..4e7792df1 --- /dev/null +++ b/nodedb/src/control/security/egress/policy.rs @@ -0,0 +1,211 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `EgressPolicy`: which URLs an outbound request of the server may reach. +//! Remote `COPY` sources, JWKS fetches, change-stream and alert webhooks, SIEM +//! export, OTLP export and the Vault key provider share it. +//! +//! The strict policy allows `https://` only, refuses IP-literal hosts, and +//! refuses any resolved address outside global unicast. A relaxed policy +//! names hosts, and every relaxation is tied to a named host: +//! +//! - `allow_http` admits `http://` only for a host in `hosts`. +//! - A resolved non-global address passes only when the host is in `hosts` +//! AND the address lies in one of `cidrs`. +//! - An IP-literal host is never admitted. +//! +//! So a typo or a forgotten flag never opens the whole private address +//! space. Error messages never echo the URL: external input flowing into a +//! log line is its own exfiltration path. + +use std::collections::HashSet; +use std::net::IpAddr; + +use reqwest::Url; + +use super::global_unicast::is_global_unicast; +use crate::control::security::net::Cidr; + +/// Why a URL or an address is refused. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum EgressError { + #[error("URL is malformed")] + Malformed, + #[error("URL must use the https scheme; http needs the host on the egress allow-list")] + NonHttps, + #[error("URL has no host component")] + NoHost, + #[error("URL must use a DNS name, not an IP literal")] + IpLiteral, + #[error("host resolves to a non-global address the egress allow-list does not cover")] + PrivateAddress, + #[error("invalid CIDR in the egress allow-list: {0}")] + BadCidr(String), +} + +/// The effective egress allow-list. +#[derive(Debug, Clone, Default, PartialEq, Eq)] +pub struct EgressPolicy { + /// Allow `http://` for hosts in `hosts`. + pub allow_http: bool, + /// Hostnames (exact, lowercase) that may use `http://` when + /// `allow_http` is set, and may resolve into `cidrs`. + pub hosts: HashSet, + /// Blocks `hosts` may resolve into, beyond global unicast. + pub cidrs: Vec, +} + +impl EgressPolicy { + /// No relaxation: https, DNS names, global unicast addresses. + pub fn strict() -> Self { + Self::default() + } + + /// A policy from configuration strings. A CIDR that does not parse is + /// an error. + pub fn from_parts( + allow_http: bool, + hosts: &[String], + cidrs: &[String], + ) -> Result { + let hosts = hosts.iter().map(|h| h.to_ascii_lowercase()).collect(); + let cidrs = cidrs + .iter() + .map(|s| Cidr::parse(s).ok_or_else(|| EgressError::BadCidr(s.clone()))) + .collect::, _>>()?; + Ok(Self { + allow_http, + hosts, + cidrs, + }) + } + + /// Check a URL string: the first request and every redirect hop. + pub fn check_url(&self, url: &str) -> Result<(), EgressError> { + let parsed = Url::parse(url).map_err(|_| EgressError::Malformed)?; + self.check_parsed(&parsed) + } + + /// Check a parsed URL's scheme and host. + pub fn check_parsed(&self, parsed: &Url) -> Result<(), EgressError> { + let host = match parsed.domain() { + Some(d) if !d.is_empty() => d.to_ascii_lowercase(), + Some(_) => return Err(EgressError::NoHost), + None if parsed.host_str().is_some() => return Err(EgressError::IpLiteral), + None => return Err(EgressError::NoHost), + }; + match parsed.scheme() { + "https" => Ok(()), + "http" if self.allow_http && self.hosts.contains(&host) => Ok(()), + _ => Err(EgressError::NonHttps), + } + } + + /// Check every address `host` resolved to. All must pass, so a name + /// with one public and one private address is refused. + pub fn check_resolved(&self, host: &str, addrs: &[IpAddr]) -> Result<(), EgressError> { + if addrs.is_empty() { + return Err(EgressError::PrivateAddress); + } + let allowlisted = self.hosts.contains(&host.to_ascii_lowercase()); + for ip in addrs { + if is_global_unicast(ip) { + continue; + } + if allowlisted && self.cidrs.iter().any(|c| c.contains(ip)) { + continue; + } + return Err(EgressError::PrivateAddress); + } + Ok(()) + } +} + +#[cfg(test)] +mod tests { + use super::*; + use std::net::{Ipv4Addr, Ipv6Addr}; + + fn relaxed(hosts: &[&str], cidrs: &[&str], http: bool) -> EgressPolicy { + let hosts: Vec = hosts.iter().map(|h| (*h).to_string()).collect(); + let cidrs: Vec = cidrs.iter().map(|c| (*c).to_string()).collect(); + EgressPolicy::from_parts(http, &hosts, &cidrs).expect("valid allow-list") + } + + #[test] + fn https_public_dns_passes_strict() { + assert!( + EgressPolicy::strict() + .check_url("https://auth.example.com/.well-known/jwks.json") + .is_ok() + ); + } + + #[test] + fn http_is_refused_unless_the_host_is_allowlisted() { + assert_eq!( + EgressPolicy::strict().check_url("http://example.com/"), + Err(EgressError::NonHttps) + ); + let p = relaxed(&["mirror.internal"], &[], true); + assert!(p.check_url("http://mirror.internal/a.tif").is_ok()); + assert_eq!( + p.check_url("http://evil.example.com/"), + Err(EgressError::NonHttps) + ); + assert_eq!( + p.check_url("ftp://mirror.internal/"), + Err(EgressError::NonHttps) + ); + } + + #[test] + fn ip_literals_are_always_refused() { + let p = relaxed(&["ignored"], &["0.0.0.0/0", "::/0"], true); + for u in [ + "https://127.0.0.1/", + "https://169.254.169.254/latest/meta-data/", + "https://[::1]/", + "http://10.0.0.5/", + ] { + assert_eq!(p.check_url(u), Err(EgressError::IpLiteral), "{u}"); + } + } + + #[test] + fn private_addresses_need_an_allowlisted_host_and_cidr() { + let p = relaxed(&["mirror.internal"], &["10.42.0.0/16"], false); + let ip = |a, b, c, d| IpAddr::V4(Ipv4Addr::new(a, b, c, d)); + assert!( + p.check_resolved("mirror.internal", &[ip(10, 42, 1, 5)]) + .is_ok() + ); + assert!( + p.check_resolved("mirror.internal", &[ip(10, 43, 0, 1)]) + .is_err() + ); + assert!( + p.check_resolved("evil.example.com", &[ip(10, 42, 0, 1)]) + .is_err() + ); + assert!( + p.check_resolved("evil.example.com", &[ip(127, 0, 0, 1)]) + .is_err() + ); + assert!(p.check_resolved("evil.example.com", &[]).is_err()); + let mixed = [ip(93, 184, 216, 34), ip(169, 254, 169, 254)]; + assert!(p.check_resolved("cdn.example.com", &mixed).is_err()); + let v6 = relaxed(&["v6.internal"], &["fd00::/8"], false); + let ula = IpAddr::V6(Ipv6Addr::new(0xfd12, 0, 0, 0, 0, 0, 0, 1)); + let link = IpAddr::V6(Ipv6Addr::new(0xfe80, 0, 0, 0, 0, 0, 0, 1)); + assert!(v6.check_resolved("v6.internal", &[ula]).is_ok()); + assert!(v6.check_resolved("v6.internal", &[link]).is_err()); + } + + #[test] + fn a_bad_cidr_is_an_error_at_build_time() { + assert_eq!( + EgressPolicy::from_parts(false, &[], &["not-a-cidr".into()]), + Err(EgressError::BadCidr("not-a-cidr".into())) + ); + } +} diff --git a/nodedb/src/control/security/egress/remote.rs b/nodedb/src/control/security/egress/remote.rs new file mode 100644 index 000000000..7c91f8c70 --- /dev/null +++ b/nodedb/src/control/security/egress/remote.rs @@ -0,0 +1,46 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The server's `[egress]` policy, the outbound client built on it, and the +//! key remote `COPY` source credentials are sealed under. + +use std::sync::Arc; + +use super::client::outbound_client; +use super::policy::EgressPolicy; +use crate::control::security::source_credential::CredentialKek; + +/// The `[egress]` policy with the shared outbound client built on it, and +/// the `[credential_encryption]` key. The client and the policy are paired +/// at construction, so no request goes out under another policy. +#[derive(Debug, Clone)] +pub struct RemoteSources { + egress: Arc, + http: Arc, + /// The key `CREATE CREDENTIAL` seals secrets under. `None` refuses + /// `CREATE CREDENTIAL` and every `COPY ... CREDENTIAL`. + pub credential_kek: Option>, +} + +impl RemoteSources { + /// `egress` with its outbound client, and no credential key. + pub fn new(egress: Arc) -> Result { + let http = Arc::new(outbound_client(Arc::clone(&egress))?); + Ok(Self { + egress, + http, + credential_kek: None, + }) + } + + /// What an outbound request may reach. Strict by default. + pub fn egress(&self) -> &Arc { + &self.egress + } + + /// The outbound client built on [`Self::egress`]. Alert webhooks, SIEM + /// export and OTLP export share it. Each sender checks its URL with + /// [`EgressPolicy::check_url`] first. + pub fn http(&self) -> &Arc { + &self.http + } +} diff --git a/nodedb/src/control/security/egress/resolver.rs b/nodedb/src/control/security/egress/resolver.rs new file mode 100644 index 000000000..65218af0a --- /dev/null +++ b/nodedb/src/control/security/egress/resolver.rs @@ -0,0 +1,112 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `EgressResolver`: the DNS resolver every egress HTTP client connects +//! through. It checks each resolved address against the policy and hands +//! the client exactly the addresses it checked, so the connection goes to +//! a checked address. A name that resolves to a private address between a +//! first check and the connect (DNS rebinding) is refused at the connect, +//! and so is every redirect hop's host. + +use std::future::Future; +use std::net::{IpAddr, SocketAddr}; +use std::pin::Pin; +use std::sync::Arc; + +use reqwest::dns::{Addrs, Name, Resolve, Resolving}; + +use super::policy::EgressPolicy; + +/// The future a host lookup returns. +pub type LookupFuture = Pin>> + Send>>; + +/// Resolves a host name to addresses. Tests replace the system resolver +/// with a fixed table. +pub trait HostLookup: Send + Sync + 'static { + /// The addresses `host` resolves to. + fn lookup(&self, host: &str) -> LookupFuture; +} + +/// The system resolver (`getaddrinfo` on Tokio's blocking pool). +#[derive(Debug, Clone, Copy, Default)] +pub struct SystemLookup; + +impl HostLookup for SystemLookup { + fn lookup(&self, host: &str) -> LookupFuture { + let host = host.to_string(); + Box::pin(async move { + let addrs = tokio::net::lookup_host((host.as_str(), 0)).await?; + Ok(addrs.map(|addr| addr.ip()).collect()) + }) + } +} + +/// A DNS resolver that refuses addresses the policy refuses. +#[derive(Clone)] +pub struct EgressResolver { + policy: Arc, + lookup: Arc, +} + +impl EgressResolver { + /// A resolver that checks `lookup`'s answers against `policy`. + pub fn new(policy: Arc, lookup: Arc) -> Self { + Self { policy, lookup } + } +} + +impl Resolve for EgressResolver { + fn resolve(&self, name: Name) -> Resolving { + let host = name.as_str().to_string(); + let policy = Arc::clone(&self.policy); + let lookup = Arc::clone(&self.lookup); + Box::pin(async move { + let ips = lookup.lookup(&host).await?; + policy.check_resolved(&host, &ips)?; + let addrs: Addrs = Box::new(ips.into_iter().map(|ip| SocketAddr::new(ip, 0))); + Ok(addrs) + }) + } +} + +#[cfg(test)] +pub(crate) mod tests { + use super::*; + use std::collections::HashMap; + + /// A fixed host table in place of DNS. + pub(crate) struct TableLookup(pub HashMap>); + + impl HostLookup for TableLookup { + fn lookup(&self, host: &str) -> LookupFuture { + let answer = self.0.get(host).cloned(); + Box::pin(async move { + answer.ok_or_else(|| { + std::io::Error::new(std::io::ErrorKind::NotFound, "no such host") + }) + }) + } + } + + pub(crate) fn table(entries: &[(&str, &str)]) -> Arc { + let mut map: HashMap> = HashMap::new(); + for (host, ip) in entries { + let ip: IpAddr = ip.parse().expect("ip"); + map.entry((*host).to_string()).or_default().push(ip); + } + Arc::new(TableLookup(map)) + } + + #[tokio::test] + async fn a_name_rebound_to_a_private_address_is_refused_at_resolve() { + let lookup = table(&[ + ("cdn.example.com", "93.184.216.34"), + ("rebind.example.com", "169.254.169.254"), + ]); + let resolver = EgressResolver::new(Arc::new(EgressPolicy::strict()), lookup); + let name: Name = "cdn.example.com".parse().expect("name"); + let addrs: Vec = resolver.resolve(name).await.expect("public").collect(); + assert_eq!(addrs.len(), 1); + let name: Name = "rebind.example.com".parse().expect("name"); + assert!(resolver.resolve(name).await.is_err()); + } +} diff --git a/nodedb/src/control/security/identity/plan_permission.rs b/nodedb/src/control/security/identity/plan_permission.rs index 673de65c3..28ecf64b4 100644 --- a/nodedb/src/control/security/identity/plan_permission.rs +++ b/nodedb/src/control/security/identity/plan_permission.rs @@ -64,7 +64,6 @@ pub fn required_permission(plan: &crate::bridge::envelope::PhysicalPlan) -> Perm | GraphOp::MatchContinuation { .. } | GraphOp::MatchVarLenResume { .. } | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::Stats { .. } @@ -281,6 +280,7 @@ pub fn required_permission(plan: &crate::bridge::envelope::PhysicalPlan) -> Perm | MetaOp::Checkpoint | MetaOp::CreateTenantSnapshot { .. } | MetaOp::RestoreTenantSnapshot { .. } + | MetaOp::PurgeDepartedVShards { .. } | MetaOp::UnregisterCollection { .. } | MetaOp::UnregisterMaterializedView { .. } | MetaOp::QueryCollectionSize { .. } @@ -425,6 +425,9 @@ pub fn required_permission(plan: &crate::bridge::envelope::PhysicalPlan) -> Perm PhysicalPlan::Meta(MetaOp::PutSynonymGroup { .. } | MetaOp::DeleteSynonymGroup { .. }) => { Permission::Alter } + + // User-defined CRS set install: Alter permission, as the DDL it carries. + PhysicalPlan::Meta(MetaOp::SetCustomCrsSet { .. }) => Permission::Alter, } } diff --git a/nodedb/src/control/security/jwks/cache.rs b/nodedb/src/control/security/jwks/cache.rs index 1d454d0b4..a8e77204b 100644 --- a/nodedb/src/control/security/jwks/cache.rs +++ b/nodedb/src/control/security/jwks/cache.rs @@ -77,6 +77,17 @@ impl JwksCache { } } + /// Drop every cached key of `provider`: a catalog provider that is + /// dropped, or whose JWKS endpoint changed, keeps no key. + pub fn remove_provider(&self, provider: &str) { + let mut providers = self.providers.write(); + if providers.remove(provider).is_some() + && let Some(ref path) = self.disk_path + { + let _ = self.persist_to_disk(path, &providers); + } + } + /// Check if enough time has passed since last re-fetch attempt. /// Used to rate-limit on-demand re-fetches for unknown `kid`. pub fn can_refetch(&self, provider: &str, min_interval_secs: u64) -> bool { diff --git a/nodedb/src/control/security/jwks/fetch.rs b/nodedb/src/control/security/jwks/fetch.rs index 2db613cf5..f07d672c8 100644 --- a/nodedb/src/control/security/jwks/fetch.rs +++ b/nodedb/src/control/security/jwks/fetch.rs @@ -5,22 +5,31 @@ //! Handles HTTP fetch, JSON deserialization, key extraction, and error //! reporting. Used by the registry for initial load and periodic refresh. //! -//! SSRF defense: every URL (initial + each redirect hop) is re-validated -//! against [`super::url::validate_jwks_url`], and the hostname is resolved -//! up-front with every returned address checked against -//! [`super::url::validate_resolved_addrs`]. A maximum of 3 redirect hops -//! is allowed. +//! SSRF defense: the request goes through the egress client. The URL and +//! every redirect hop pass the [`EgressPolicy`], and every address a host +//! resolves to is checked at connect time, so a rebinding DNS answer never +//! reaches a private address. A maximum of 3 redirect hops is allowed. -use std::net::{SocketAddr, ToSocketAddrs}; +use std::sync::Arc; +use std::time::Duration; use tracing::{debug, info, warn}; use super::cache::JwksCache; use super::key::{JwksResponse, VerificationKey, parse_jwk}; -use super::url::{JwksPolicy, UrlValidationError}; +use crate::control::security::egress::{ + EgressClientOptions, EgressError, EgressFault, EgressPolicy, SystemLookup, classify, + egress_client, +}; const MAX_REDIRECTS: usize = 3; +/// Cap on a JWKS response body. 1 MiB is far beyond any real JWKS document. +const MAX_BODY: usize = 1 << 20; + +/// Cap on one JWKS request, connect and read included. +const FETCH_TIMEOUT: Duration = Duration::from_secs(10); + /// Fetch JWKS from a provider's endpoint and update the cache. /// /// `cache_identity` is an internal generated cache key; `provider_name` is @@ -33,7 +42,7 @@ pub async fn fetch_and_cache( provider_name: &str, jwks_url: &str, cache: &JwksCache, - policy: &JwksPolicy, + policy: &EgressPolicy, ) -> usize { match fetch_jwks(jwks_url, policy).await { Ok(keys) => { @@ -73,81 +82,43 @@ pub async fn fetch_and_cache( /// Fetch and parse JWKS from a URL, with full SSRF defense. async fn fetch_jwks( url: &str, - policy: &JwksPolicy, + policy: &EgressPolicy, ) -> Result, JwksFetchError> { debug!(url = %url, "fetching JWKS"); - // 1. Syntactic validation (scheme + not-IP-literal, respecting policy). + // Scheme and host before any connection, respecting the policy. policy .check_url(url) .map_err(JwksFetchError::UrlValidation)?; - // 2. Resolve host and validate every address against the policy. - let parsed = reqwest::Url::parse(url) - .map_err(|_| JwksFetchError::UrlValidation(UrlValidationError::Malformed))?; - let host = parsed - .host_str() - .ok_or(JwksFetchError::UrlValidation(UrlValidationError::NoHost))? - .to_owned(); - let port = parsed.port_or_known_default().unwrap_or(443); - let addrs = resolve_host(&host, port).await?; - let ips: Vec<_> = addrs.iter().map(|a| a.ip()).collect(); - policy - .check_resolved(&host, &ips) - .map_err(JwksFetchError::UrlValidation)?; - - // Pin the first resolved SocketAddr so reqwest uses the IP we - // validated instead of re-resolving. This closes the DNS-rebinding - // window between our validation and reqwest's own resolution. - let pinned = addrs[0]; - - // 3. Build a reqwest client that enforces per-hop URL check, caps - // redirect depth, and uses the pinned IP for the target host. - let policy_for_redirect = policy.clone(); - let client = reqwest::Client::builder() - .timeout(std::time::Duration::from_secs(10)) - .resolve(&host, pinned) - .redirect(reqwest::redirect::Policy::custom(move |attempt| { - if attempt.previous().len() >= MAX_REDIRECTS { - return attempt.error(redirect_limit_err()); - } - if policy_for_redirect.check_parsed(attempt.url()).is_err() { - return attempt.stop(); - } - attempt.follow() - })) - .build() - .map_err(|_| JwksFetchError::HttpClient)?; + let client = egress_client( + Arc::new(policy.clone()), + Arc::new(SystemLookup), + EgressClientOptions { + timeout: Some(FETCH_TIMEOUT), + connect_timeout: FETCH_TIMEOUT, + read_timeout: FETCH_TIMEOUT, + max_redirects: MAX_REDIRECTS, + }, + ) + .map_err(|_| JwksFetchError::HttpClient)?; let response = client .get(url) .header("accept", "application/json") .send() .await - .map_err(|e| { - // Distinguish our redirect-limit sentinel from generic errors. - if format!("{e}").contains(REDIRECT_LIMIT_SENTINEL) { - JwksFetchError::RedirectLimit - } else { - JwksFetchError::HttpRequest - } + .map_err(|e| match classify(&e) { + EgressFault::TooManyRedirects(_) => JwksFetchError::RedirectLimit, + EgressFault::Refused(refused) => JwksFetchError::UrlValidation(refused), + EgressFault::Other => JwksFetchError::HttpRequest, })?; let status = response.status(); if !status.is_success() { return Err(JwksFetchError::HttpStatus(status.as_u16())); } - - // Cap body size to prevent a hostile endpoint from forcing unbounded - // allocation. 1 MiB is well beyond any real JWKS document. - const MAX_BODY: usize = 1 << 20; - let body = response - .bytes() - .await - .map_err(|_| JwksFetchError::HttpBody)?; - if body.len() > MAX_BODY { - return Err(JwksFetchError::BodyTooLarge); - } + let body = read_bounded(response).await?; let jwks: JwksResponse = crate::util::bounded_json::from_slice(&body).map_err(|_| JwksFetchError::JsonParse)?; @@ -157,21 +128,27 @@ async fn fetch_jwks( Ok(keys) } -/// Resolve a hostname to socket addresses using the blocking resolver on a -/// worker thread (tokio's async resolver isn't available without -/// additional deps and std's resolver is well-exercised for this purpose). -async fn resolve_host(host: &str, port: u16) -> Result, JwksFetchError> { - let h = host.to_owned(); - tokio::task::spawn_blocking(move || (h.as_str(), port).to_socket_addrs().map(|i| i.collect())) +/// The response body, read chunk by chunk. A hostile endpoint that sends +/// more than [`MAX_BODY`] bytes fails before the buffer grows past the cap. +async fn read_bounded(mut response: reqwest::Response) -> Result, JwksFetchError> { + if response + .content_length() + .is_some_and(|len| len > MAX_BODY as u64) + { + return Err(JwksFetchError::BodyTooLarge); + } + let mut body = Vec::new(); + while let Some(chunk) = response + .chunk() .await - .map_err(|_| JwksFetchError::DnsResolution)? - .map_err(|_| JwksFetchError::DnsResolution) -} - -const REDIRECT_LIMIT_SENTINEL: &str = "nodedb-jwks-redirect-limit"; - -fn redirect_limit_err() -> Box { - Box::::from(REDIRECT_LIMIT_SENTINEL) + .map_err(|_| JwksFetchError::HttpBody)? + { + if body.len() + chunk.len() > MAX_BODY { + return Err(JwksFetchError::BodyTooLarge); + } + body.extend_from_slice(&chunk); + } + Ok(body) } /// JWKS fetch errors. Variants carry no external data so they cannot @@ -179,9 +156,7 @@ fn redirect_limit_err() -> Box { #[derive(Debug, thiserror::Error)] pub enum JwksFetchError { #[error("JWKS URL failed validation: {0}")] - UrlValidation(#[from] UrlValidationError), - #[error("DNS resolution failed")] - DnsResolution, + UrlValidation(#[from] EgressError), #[error("HTTP client construction failed")] HttpClient, #[error("HTTP request failed")] @@ -203,7 +178,6 @@ impl JwksFetchError { pub fn category(&self) -> &'static str { match self { Self::UrlValidation(_) => "url_validation", - Self::DnsResolution => "dns_resolution", Self::HttpClient => "http_client", Self::HttpRequest => "http_request", Self::HttpStatus(_) => "http_status", @@ -217,13 +191,15 @@ impl JwksFetchError { /// Start the periodic JWKS refresh task. /// -/// Spawns a Tokio task that refreshes JWKS keys for all providers -/// at the configured interval. Runs on the Control Plane. +/// Spawns a Tokio task that refreshes JWKS keys for every target at the +/// configured interval. Each tick reads `targets` afresh, so a catalog +/// provider registered after the start is refreshed too. Runs on the +/// Control Plane. pub fn spawn_refresh_task( - providers: Vec<(String, String, String)>, // (cache identity, name, jwks_url) triples + targets: Arc>, cache: std::sync::Arc, refresh_interval_secs: u64, - policy: std::sync::Arc, + policy: std::sync::Arc, ) -> tokio::task::JoinHandle<()> { tokio::spawn(async move { let mut interval = @@ -233,9 +209,121 @@ pub fn spawn_refresh_task( loop { interval.tick().await; - for (cache_identity, name, url) in &providers { - fetch_and_cache(cache_identity, name, url, &cache, &policy).await; + let snapshot = targets.read().snapshot(); + for target in &snapshot { + fetch_and_cache( + &target.cache_identity, + &target.provider_name, + &target.jwks_url, + &cache, + &policy, + ) + .await; } } }) } + +#[cfg(test)] +mod tests { + use tokio::io::{AsyncReadExt, AsyncWriteExt}; + use tokio::net::TcpListener; + + use super::*; + + /// Serve `head` and then `body_chunks` as a chunked body on every + /// connection. Returns the port. + async fn serve(head: String, body_chunks: usize, chunk: usize) -> u16 { + let listener = TcpListener::bind("127.0.0.1:0").await.expect("bind"); + let port = listener.local_addr().expect("addr").port(); + tokio::spawn(async move { + while let Ok((mut socket, _)) = listener.accept().await { + let head = head.clone(); + tokio::spawn(async move { + let mut request = [0u8; 4096]; + let _ = socket.read(&mut request).await; + if socket.write_all(head.as_bytes()).await.is_err() { + return; + } + let data = vec![b' '; chunk]; + for _ in 0..body_chunks { + let frame = format!("{chunk:x}\r\n"); + if socket.write_all(frame.as_bytes()).await.is_err() + || socket.write_all(&data).await.is_err() + || socket.write_all(b"\r\n").await.is_err() + { + return; + } + } + let _ = socket.write_all(b"0\r\n\r\n").await; + }); + } + }); + port + } + + fn local_policy() -> EgressPolicy { + EgressPolicy::from_parts( + true, + &["localhost".to_string()], + &["127.0.0.0/8".to_string(), "::1/128".to_string()], + ) + .expect("valid policy") + } + + #[tokio::test] + async fn a_chunked_body_over_the_cap_is_refused() { + let head = "HTTP/1.1 200 OK\r\nContent-Type: application/json\r\n\ + Transfer-Encoding: chunked\r\nConnection: close\r\n\r\n" + .to_string(); + // 2 MiB in 64 KiB chunks, with no Content-Length to check up front. + let port = serve(head, 32, 64 * 1024).await; + let url = format!("http://localhost:{port}/jwks.json"); + let err = fetch_jwks(&url, &local_policy()) + .await + .expect_err("over the cap"); + assert!(matches!(err, JwksFetchError::BodyTooLarge), "{err}"); + } + + #[tokio::test] + async fn a_redirect_loop_hits_the_redirect_limit() { + let listener = TcpListener::bind("127.0.0.1:0").await.expect("bind"); + let port = listener.local_addr().expect("addr").port(); + let head = format!( + "HTTP/1.1 302 Found\r\nLocation: http://localhost:{port}/again\r\n\ + Content-Length: 0\r\nConnection: close\r\n\r\n" + ); + tokio::spawn(async move { + while let Ok((mut socket, _)) = listener.accept().await { + let head = head.clone(); + tokio::spawn(async move { + let mut request = [0u8; 4096]; + let _ = socket.read(&mut request).await; + let _ = socket.write_all(head.as_bytes()).await; + }); + } + }); + let url = format!("http://localhost:{port}/jwks.json"); + let err = fetch_jwks(&url, &local_policy()) + .await + .expect_err("redirect loop"); + assert!(matches!(err, JwksFetchError::RedirectLimit), "{err}"); + } + + #[tokio::test] + async fn a_host_outside_the_allow_list_is_refused_at_resolve() { + // https passes the URL check, and the strict policy refuses the + // loopback address localhost resolves to before any connect. + let url = "https://localhost:9/jwks.json"; + let err = fetch_jwks(url, &EgressPolicy::strict()) + .await + .expect_err("loopback"); + assert!( + matches!( + err, + JwksFetchError::UrlValidation(EgressError::PrivateAddress) + ), + "{err}" + ); + } +} diff --git a/nodedb/src/control/security/jwks/mod.rs b/nodedb/src/control/security/jwks/mod.rs index 64e8bbe1c..8aa446f2c 100644 --- a/nodedb/src/control/security/jwks/mod.rs +++ b/nodedb/src/control/security/jwks/mod.rs @@ -4,4 +4,3 @@ pub mod cache; pub mod fetch; pub mod key; pub mod registry; -pub mod url; diff --git a/nodedb/src/control/security/jwks/registry/catalog.rs b/nodedb/src/control/security/jwks/registry/catalog.rs new file mode 100644 index 000000000..5b9b115dd --- /dev/null +++ b/nodedb/src/control/security/jwks/registry/catalog.rs @@ -0,0 +1,98 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Register and unregister catalog OIDC providers. +//! +//! Every node applies a `PutOidcProvider` / `DeleteOidcProvider` entry, and +//! boot registers every provider the catalog holds. A registered provider +//! joins the periodic refresh, and its keys are fetched once at +//! registration so its first token needs no on-demand fetch. A provider +//! that is dropped, or whose JWKS endpoint changed, loses its cached keys. + +use super::cache_identity::catalog_cache_identity; +use super::state::JwksRegistry; +use super::targets::RefreshTarget; +use crate::control::security::jwks::fetch; + +impl JwksRegistry { + /// Register catalog provider `name` with its JWKS endpoint, replacing a + /// previous registration of the same name. Returns the target whose + /// keys the caller fetches with [`Self::prefetch`]. + pub fn register_catalog_provider(&self, name: &str, jwks_uri: &str) -> RefreshTarget { + let target = RefreshTarget { + cache_identity: catalog_cache_identity(name, jwks_uri), + provider_name: name.to_string(), + jwks_url: jwks_uri.to_string(), + }; + let replaced = self.targets.write().put_catalog(target.clone()); + if let Some(old) = replaced + && old.cache_identity != target.cache_identity + { + self.cache.remove_provider(&old.cache_identity); + } + target + } + + /// Unregister catalog provider `name` and drop its cached keys. + pub fn unregister_catalog_provider(&self, name: &str) { + let removed = self.targets.write().remove_catalog(name); + if let Some(old) = removed { + self.cache.remove_provider(&old.cache_identity); + } + } + + /// Fetch the keys of `target` into the cache. A failed fetch leaves the + /// cache unchanged; the first token with an unknown `kid` fetches again. + pub async fn prefetch(&self, target: &RefreshTarget) -> usize { + fetch::fetch_and_cache( + &target.cache_identity, + &target.provider_name, + &target.jwks_url, + &self.cache, + &self.policy, + ) + .await + } + + /// Whether catalog provider `name` is registered on this node. + pub fn has_catalog_provider(&self, name: &str) -> bool { + self.targets.read().has_catalog(name) + } +} + +#[cfg(test)] +mod tests { + use std::sync::Arc; + + use super::*; + use crate::config::auth::JwtAuthConfig; + use crate::control::security::egress::EgressPolicy; + + #[tokio::test] + async fn a_moved_or_dropped_provider_loses_its_cached_keys() { + let registry = + JwksRegistry::init(JwtAuthConfig::default(), Arc::new(EgressPolicy::strict())) + .await + .expect("a registry with no static provider"); + let first = registry.register_catalog_provider("idp", "https://a.example/jwks"); + registry + .cache + .update_provider(&first.cache_identity, Vec::new()); + assert!(registry.has_catalog_provider("idp")); + + // ALTER-style re-registration under a new endpoint. + let moved = registry.register_catalog_provider("idp", "https://b.example/jwks"); + assert_ne!(moved.cache_identity, first.cache_identity); + assert!(!registry.cache.has_provider(&first.cache_identity)); + registry + .cache + .update_provider(&moved.cache_identity, Vec::new()); + + // The same endpoint keeps its keys. + let same = registry.register_catalog_provider("idp", "https://b.example/jwks"); + assert!(registry.cache.has_provider(&same.cache_identity)); + + registry.unregister_catalog_provider("idp"); + assert!(!registry.has_catalog_provider("idp")); + assert!(!registry.cache.has_provider(&moved.cache_identity)); + } +} diff --git a/nodedb/src/control/security/jwks/registry/init.rs b/nodedb/src/control/security/jwks/registry/init.rs index 4c02423b8..47e29cca4 100644 --- a/nodedb/src/control/security/jwks/registry/init.rs +++ b/nodedb/src/control/security/jwks/registry/init.rs @@ -7,26 +7,26 @@ use std::sync::Arc; use crate::config::auth::JwtAuthConfig; +use crate::control::security::egress::EgressPolicy; use crate::control::security::jwks::cache::JwksCache; use crate::control::security::jwks::fetch; use super::cache_identity::static_cache_identity; use super::state::JwksRegistry; +use super::targets::{RefreshTarget, RefreshTargets}; impl JwksRegistry { /// Create and initialize the registry. /// /// Fetches JWKS from all providers on startup, loads disk cache as fallback, - /// and spawns the periodic refresh task. - pub async fn init(config: JwtAuthConfig) -> crate::Result { + /// and spawns the periodic refresh task. Every fetch goes through + /// `policy`, the server's `[egress]` policy. + pub async fn init(config: JwtAuthConfig, policy: Arc) -> crate::Result { // Registry construction is also a public entry point, so it must not // rely on the server-config loader to reject unsafe static providers. // Validate before creating cache state, fetching remote keys, or // spawning a refresh task. - config.validate()?; - let policy = Arc::new(config.jwks_policy().map_err(|e| crate::Error::Config { - detail: format!("auth.jwt allow-list is invalid: {e}"), - })?); + config.validate(&policy)?; let cache = Arc::new(JwksCache::new(config.jwks_cache_path.clone())); // Load disk cache first (offline fallback). @@ -45,35 +45,34 @@ impl JwksRegistry { .await; } - // Spawn periodic refresh. - let refresh_handle = if !config.providers.is_empty() { - let pairs: Vec<(String, String, String)> = config - .providers - .iter() - .map(|p| { - ( - static_cache_identity(&p.name), - p.name.clone(), - p.jwks_url.clone(), - ) - }) - .collect(); - Some(fetch::spawn_refresh_task( - pairs, - cache.clone(), - config.jwks_refresh_secs, - policy.clone(), - )) - } else { - None - }; + // Spawn periodic refresh. It runs with no static provider too: a + // catalog provider registered later joins its targets. + let statics = config + .providers + .iter() + .map(|p| RefreshTarget { + cache_identity: static_cache_identity(&p.name), + provider_name: p.name.clone(), + jwks_url: p.jwks_url.clone(), + }) + .collect(); + let targets = Arc::new(parking_lot::RwLock::new(RefreshTargets::with_statics( + statics, + ))); + let refresh_handle = fetch::spawn_refresh_task( + Arc::clone(&targets), + cache.clone(), + config.jwks_refresh_secs, + policy.clone(), + ); Ok(Self { providers: config.providers.clone(), cache, config, policy, - _refresh_handle: refresh_handle, + targets, + _refresh_handle: Some(refresh_handle), }) } } diff --git a/nodedb/src/control/security/jwks/registry/mod.rs b/nodedb/src/control/security/jwks/registry/mod.rs index d827f2a38..e7388ff6c 100644 --- a/nodedb/src/control/security/jwks/registry/mod.rs +++ b/nodedb/src/control/security/jwks/registry/mod.rs @@ -21,10 +21,13 @@ //! - `validate` — the three public entry points + the claim-policy gate. //! - `claims` — post-verification claim checks + identity construction. //! - `cache_identity` — collision-free cache keys for static/catalog providers. +//! - `catalog` — register and unregister catalog OIDC providers. +//! - `targets` — the endpoints the periodic refresh task fetches. //! - `header` — JWT header (first token segment) parsing. //! - `verified` — `VerifiedJwtClaims`, the opaque post-verification proof. pub mod cache_identity; +pub mod catalog; pub mod claims; pub mod header; pub mod init; @@ -32,6 +35,7 @@ pub mod pipeline; pub mod refetch; pub mod routing; pub mod state; +pub mod targets; pub mod validate; pub mod verified; diff --git a/nodedb/src/control/security/jwks/registry/state.rs b/nodedb/src/control/security/jwks/registry/state.rs index 39e841e5f..809a7d52a 100644 --- a/nodedb/src/control/security/jwks/registry/state.rs +++ b/nodedb/src/control/security/jwks/registry/state.rs @@ -6,11 +6,12 @@ use std::sync::Arc; use crate::config::auth::{JwtAuthConfig, JwtProviderConfig}; +use crate::control::security::egress::EgressPolicy; use crate::control::security::jwks::cache::JwksCache; -use crate::control::security::jwks::url::JwksPolicy; use crate::control::security::jwt::JwtClaims; use super::header::JwtHeader; +use super::targets::RefreshTargets; /// Multi-provider JWKS registry. /// @@ -20,7 +21,10 @@ pub struct JwksRegistry { pub(super) providers: Vec, pub(super) cache: Arc, pub(super) config: JwtAuthConfig, - pub(super) policy: Arc, + pub(super) policy: Arc, + /// The endpoints the refresh task fetches: static providers and every + /// catalog provider registered on this node. + pub(super) targets: Arc>, /// Background refresh task handle. pub(super) _refresh_handle: Option>, } diff --git a/nodedb/src/control/security/jwks/registry/targets.rs b/nodedb/src/control/security/jwks/registry/targets.rs new file mode 100644 index 000000000..c250e0367 --- /dev/null +++ b/nodedb/src/control/security/jwks/registry/targets.rs @@ -0,0 +1,93 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The JWKS endpoints the periodic refresh task fetches: every static +//! provider of `[auth.jwt]`, and every catalog OIDC provider registered on +//! this node. + +use std::collections::HashMap; + +/// One JWKS endpoint and the cache identity its keys live under. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct RefreshTarget { + pub cache_identity: String, + pub provider_name: String, + pub jwks_url: String, +} + +/// The endpoints the refresh task fetches each tick. +#[derive(Debug, Default)] +pub struct RefreshTargets { + statics: Vec, + /// Catalog providers by name. + catalog: HashMap, +} + +impl RefreshTargets { + /// The static providers of `[auth.jwt]`. + pub fn with_statics(statics: Vec) -> Self { + Self { + statics, + catalog: HashMap::new(), + } + } + + /// Register catalog provider `target`. Returns the target it replaced, + /// whose cached keys the caller drops when its identity differs. + pub fn put_catalog(&mut self, target: RefreshTarget) -> Option { + self.catalog.insert(target.provider_name.clone(), target) + } + + /// Unregister catalog provider `name`. Returns its target. + pub fn remove_catalog(&mut self, name: &str) -> Option { + self.catalog.remove(name) + } + + /// Whether catalog provider `name` is registered. + pub fn has_catalog(&self, name: &str) -> bool { + self.catalog.contains_key(name) + } + + /// Every endpoint to fetch, static providers first. + pub fn snapshot(&self) -> Vec { + self.statics + .iter() + .chain(self.catalog.values()) + .cloned() + .collect() + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn target(identity: &str, name: &str) -> RefreshTarget { + RefreshTarget { + cache_identity: identity.into(), + provider_name: name.into(), + jwks_url: format!("https://{name}.example/jwks.json"), + } + } + + #[test] + fn catalog_providers_register_replace_and_unregister() { + let mut targets = RefreshTargets::with_statics(vec![target("static:a", "a")]); + assert_eq!(targets.put_catalog(target("catalog:b1", "b")), None); + let replaced = targets.put_catalog(target("catalog:b2", "b")); + assert_eq!( + replaced.map(|t| t.cache_identity), + Some("catalog:b1".into()) + ); + let names: Vec = targets + .snapshot() + .into_iter() + .map(|t| t.cache_identity) + .collect(); + assert_eq!( + names, + vec!["static:a".to_string(), "catalog:b2".to_string()] + ); + assert!(targets.remove_catalog("b").is_some()); + assert_eq!(targets.snapshot().len(), 1); + } +} diff --git a/nodedb/src/control/security/jwks/registry/validate.rs b/nodedb/src/control/security/jwks/registry/validate.rs index e5f1988d5..dbd1c06b3 100644 --- a/nodedb/src/control/security/jwks/registry/validate.rs +++ b/nodedb/src/control/security/jwks/registry/validate.rs @@ -155,6 +155,7 @@ impl JwksRegistry { mod tests { use super::*; use crate::config::auth::JwtAuthConfig; + use crate::control::security::egress::EgressPolicy; fn claims(iat: u64, exp: u64) -> JwtClaims { JwtClaims { @@ -186,7 +187,7 @@ mod tests { /// A session whose stored claims have since expired must be rejected. #[tokio::test] async fn check_not_expired_rejects_claims_past_exp() { - let registry = JwksRegistry::init(JwtAuthConfig::default()) + let registry = JwksRegistry::init(JwtAuthConfig::default(), strict()) .await .expect("registry with no configured providers must still initialize"); let now = now_secs(); @@ -200,7 +201,7 @@ mod tests { /// path this check now gates. #[tokio::test] async fn check_not_expired_accepts_claims_before_exp() { - let registry = JwksRegistry::init(JwtAuthConfig::default()) + let registry = JwksRegistry::init(JwtAuthConfig::default(), strict()) .await .expect("registry with no configured providers must still initialize"); let now = now_secs(); @@ -215,8 +216,14 @@ mod tests { fn config_from_toml(body: &str) -> JwtAuthConfig { let parsed: JwtAuthConfig = toml::from_str(body).expect("the [auth.jwt] section must deserialize"); - parsed.validate().expect("the section must be valid"); parsed + .validate(&EgressPolicy::strict()) + .expect("the section must be valid"); + parsed + } + + fn strict() -> std::sync::Arc { + std::sync::Arc::new(EgressPolicy::strict()) } fn claims_with_extra(pairs: &[(&str, serde_json::Value)]) -> JwtClaims { @@ -232,12 +239,15 @@ mod tests { /// must actually reject a token carrying a blocked value. #[tokio::test] async fn blocked_status_from_server_config_rejects_the_token() { - let registry = JwksRegistry::init(config_from_toml( - r#" + let registry = JwksRegistry::init( + config_from_toml( + r#" status_claim = "account_status" blocked_statuses = ["suspended", "banned"] "#, - )) + ), + strict(), + ) .await .expect("registry with no configured providers must still initialize"); @@ -259,12 +269,15 @@ mod tests { /// provider-named claim onto the field NodeDB reads. #[tokio::test] async fn claim_remap_from_server_config_reaches_the_verification_pipeline() { - let registry = JwksRegistry::init(config_from_toml( - r#" + let registry = JwksRegistry::init( + config_from_toml( + r#" [claims] upn = "email" "#, - )) + ), + strict(), + ) .await .expect("registry with no configured providers must still initialize"); @@ -280,15 +293,18 @@ mod tests { /// provider claim after renaming it onto `status`. #[tokio::test] async fn remap_feeds_the_status_check() { - let registry = JwksRegistry::init(config_from_toml( - r#" + let registry = JwksRegistry::init( + config_from_toml( + r#" status_claim = "status" blocked_statuses = ["deactivated"] [claims] acct_state = "status" "#, - )) + ), + strict(), + ) .await .expect("registry with no configured providers must still initialize"); @@ -304,10 +320,13 @@ mod tests { /// authentication — not a hand-rolled or zero tolerance. #[tokio::test] async fn check_not_expired_honors_configured_clock_skew() { - let registry = JwksRegistry::init(JwtAuthConfig { - clock_skew_secs: 120, - ..JwtAuthConfig::default() - }) + let registry = JwksRegistry::init( + JwtAuthConfig { + clock_skew_secs: 120, + ..JwtAuthConfig::default() + }, + strict(), + ) .await .expect("registry with no configured providers must still initialize"); let now = now_secs(); diff --git a/nodedb/src/control/security/jwks/url.rs b/nodedb/src/control/security/jwks/url.rs deleted file mode 100644 index 66b886321..000000000 --- a/nodedb/src/control/security/jwks/url.rs +++ /dev/null @@ -1,376 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! JWKS URL validation: SSRF defense for the JWKS fetch path. -//! -//! A [`JwksPolicy`] captures the effective allow-list for a running -//! process. The default (`strict`) policy forbids `http://`, IP-literal -//! hosts, and any resolved address outside global unicast — the correct -//! default for public-IdP deployments. -//! -//! For self-hosted IdPs (in-cluster Keycloak, internal Auth0 on a VPC), -//! a relaxed policy can be built from config: -//! -//! ```toml -//! [auth.jwt] -//! allow_http_jwks = true -//! allow_jwks_hosts = ["keycloak.internal"] -//! allow_jwks_cidrs = ["10.42.0.0/16"] -//! ``` -//! -//! Relaxations are **scoped**: -//! -//! - `allow_http_jwks` only applies to URLs whose host is in `hosts`. -//! - A resolved private IP is only accepted if the host is in `hosts` -//! AND the IP falls in one of the `cidrs`. -//! - IP-literal URLs are never permitted. -//! -//! This keeps the invariant — every relaxation is tied to a named host — -//! so a typo or forgotten flag can't open the whole private IP space. -//! -//! Error messages do not echo the URL back; external input flowing into -//! log lines is its own exfil surface. - -use std::collections::HashSet; -use std::net::IpAddr; - -use reqwest::Url; - -/// URL validation errors for JWKS endpoints. -#[derive(Debug, thiserror::Error)] -pub enum UrlValidationError { - #[error("JWKS URL is malformed")] - Malformed, - #[error("JWKS URL must use https scheme")] - NonHttps, - #[error("JWKS URL has no host component")] - NoHost, - #[error("JWKS URL must use a DNS name, not an IP literal")] - IpLiteral, - #[error("JWKS URL resolves to a non-global address not covered by allow_jwks_cidrs")] - PrivateAddress, - #[error("invalid CIDR in allow_jwks_cidrs: {0}")] - BadCidr(String), -} - -/// Effective JWKS allow-list policy. -#[derive(Debug, Clone, Default)] -pub struct JwksPolicy { - /// Allow `http://` scheme for hosts in `hosts`. - pub allow_http: bool, - /// Hostnames (exact, lowercase) that may resolve to private addresses - /// covered by `cidrs` and, if `allow_http`, may use http scheme. - pub hosts: HashSet, - /// CIDR blocks that `hosts` are allowed to resolve into, in addition - /// to global unicast. - pub cidrs: Vec, -} - -impl JwksPolicy { - /// Strict default: no relaxations. Correct for public-IdP deployments. - pub fn strict() -> Self { - Self::default() - } - - /// Build a policy from parsed strings. Returns an error if any CIDR - /// fails to parse. - pub fn from_parts( - allow_http: bool, - hosts: &[String], - cidrs: &[String], - ) -> Result { - let hosts = hosts.iter().map(|h| h.to_ascii_lowercase()).collect(); - let cidrs = cidrs - .iter() - .map(|s| Cidr::parse(s).ok_or_else(|| UrlValidationError::BadCidr(s.clone()))) - .collect::, _>>()?; - Ok(Self { - allow_http, - hosts, - cidrs, - }) - } - - /// Validate a URL string (used initially and for each redirect hop). - pub fn check_url(&self, url: &str) -> Result<(), UrlValidationError> { - let parsed = Url::parse(url).map_err(|_| UrlValidationError::Malformed)?; - self.check_parsed(&parsed) - } - - /// Validate an already-parsed URL. - pub fn check_parsed(&self, parsed: &Url) -> Result<(), UrlValidationError> { - let host = match parsed.domain() { - Some(d) if !d.is_empty() => d.to_ascii_lowercase(), - Some(_) => return Err(UrlValidationError::NoHost), - None if parsed.host_str().is_some() => return Err(UrlValidationError::IpLiteral), - None => return Err(UrlValidationError::NoHost), - }; - match parsed.scheme() { - "https" => Ok(()), - "http" if self.allow_http && self.hosts.contains(&host) => Ok(()), - _ => Err(UrlValidationError::NonHttps), - } - } - - /// Validate every resolved IP for a hostname. ALL addresses must pass - /// (AAAA/A split defense). - pub fn check_resolved(&self, host: &str, addrs: &[IpAddr]) -> Result<(), UrlValidationError> { - if addrs.is_empty() { - return Err(UrlValidationError::PrivateAddress); - } - let host_lc = host.to_ascii_lowercase(); - let host_allowlisted = self.hosts.contains(&host_lc); - for ip in addrs { - if is_global_unicast(ip) { - continue; - } - if host_allowlisted && self.cidrs.iter().any(|c| c.contains(ip)) { - continue; - } - return Err(UrlValidationError::PrivateAddress); - } - Ok(()) - } -} - -/// Back-compat helper: strict URL validation with no allow-list. -pub fn validate_jwks_url(url: &str) -> Result<(), UrlValidationError> { - JwksPolicy::strict().check_url(url) -} - -/// Back-compat helper: strict resolved-addr validation. -pub fn validate_resolved_addrs(addrs: &[IpAddr]) -> Result<(), UrlValidationError> { - JwksPolicy::strict().check_resolved("", addrs) -} - -/// Back-compat helper: strict parsed-URL validation (used by the redirect -/// policy when no policy-aware closure is in scope). -pub fn validate_parsed_url(parsed: &Url) -> Result<(), UrlValidationError> { - JwksPolicy::strict().check_parsed(parsed) -} - -/// Is this IP a routable, global unicast address? -fn is_global_unicast(ip: &IpAddr) -> bool { - match ip { - IpAddr::V4(v4) => { - !(v4.is_loopback() - || v4.is_private() - || v4.is_link_local() - || v4.is_broadcast() - || v4.is_multicast() - || v4.is_unspecified() - || v4.is_documentation() - || v4.octets()[0] == 0 - || (v4.octets()[0] == 100 && (v4.octets()[1] & 0xC0) == 64) - || (v4.octets()[0] == 169 && v4.octets()[1] == 254) - || (v4.octets()[0] == 192 && v4.octets()[1] == 0 && v4.octets()[2] == 0) - || (v4.octets()[0] == 198 && (v4.octets()[1] & 0xFE) == 18) - || v4.octets()[0] >= 240) - } - IpAddr::V6(v6) => { - let seg = v6.segments(); - !(v6.is_loopback() - || v6.is_multicast() - || v6.is_unspecified() - || (seg[0] & 0xffc0) == 0xfe80 - || (seg[0] & 0xfe00) == 0xfc00 - || v6 - .to_ipv4_mapped() - .is_some_and(|v4| !is_global_unicast(&IpAddr::V4(v4))) - || (seg[0] == 0x2001 && seg[1] == 0x0db8)) - } - } -} - -// ── Minimal CIDR type (v4 + v6) ───────────────────────────────────────── - -/// A small CIDR block with `contains` support for IPv4 and IPv6. -#[derive(Debug, Clone, Copy)] -pub struct Cidr { - base: u128, - mask: u128, - is_v4: bool, -} - -impl Cidr { - /// Parse a CIDR like `"10.42.0.0/16"` or `"fd00::/8"`. Returns `None` - /// if the input doesn't match `IP/prefix` with a valid prefix width. - pub fn parse(s: &str) -> Option { - let (ip_str, prefix_str) = s.split_once('/')?; - let prefix: u8 = prefix_str.parse().ok()?; - let ip: IpAddr = ip_str.parse().ok()?; - let (bits, is_v4) = match ip { - IpAddr::V4(v4) => (u32::from(v4) as u128, true), - IpAddr::V6(v6) => (u128::from(v6), false), - }; - let width: u8 = if is_v4 { 32 } else { 128 }; - if prefix > width { - return None; - } - let mask = build_mask(prefix, is_v4); - Some(Self { - base: bits & mask, - mask, - is_v4, - }) - } - - /// Does this CIDR contain `ip`? - pub fn contains(&self, ip: &IpAddr) -> bool { - match (self.is_v4, ip) { - (true, IpAddr::V4(v4)) => (u32::from(*v4) as u128) & self.mask == self.base, - (false, IpAddr::V6(v6)) => u128::from(*v6) & self.mask == self.base, - _ => false, - } - } -} - -fn build_mask(prefix: u8, is_v4: bool) -> u128 { - let width: u8 = if is_v4 { 32 } else { 128 }; - let prefix = prefix.min(width); - if prefix == 0 { - 0 - } else { - let shift = width - prefix; - let full: u128 = if is_v4 { u32::MAX as u128 } else { u128::MAX }; - (full >> shift) << shift & full - } -} - -#[cfg(test)] -mod tests { - use super::*; - use std::net::{Ipv4Addr, Ipv6Addr}; - - #[test] - fn https_public_dns_passes_strict() { - validate_jwks_url("https://auth.example.com/.well-known/jwks.json").unwrap(); - } - - #[test] - fn http_scheme_rejected_strict() { - assert!(matches!( - validate_jwks_url("http://example.com/"), - Err(UrlValidationError::NonHttps) - )); - } - - #[test] - fn ip_literal_always_rejected() { - let relaxed = JwksPolicy::from_parts( - true, - &["ignored".into()], - &["0.0.0.0/0".into(), "::/0".into()], - ) - .unwrap(); - for u in [ - "https://127.0.0.1/", - "https://169.254.169.254/", - "https://[::1]/", - ] { - assert!(matches!( - relaxed.check_url(u), - Err(UrlValidationError::IpLiteral) - )); - } - } - - #[test] - fn http_allowed_only_for_allowlisted_host() { - let p = JwksPolicy::from_parts(true, &["keycloak.internal".into()], &[]).unwrap(); - p.check_url("http://keycloak.internal/jwks.json").unwrap(); - assert!(p.check_url("http://evil.example.com/").is_err()); - } - - #[test] - fn private_addrs_rejected_unless_host_and_cidr_match() { - let p = JwksPolicy::from_parts( - false, - &["keycloak.internal".into()], - &["10.42.0.0/16".into()], - ) - .unwrap(); - // Allowed host + allowed CIDR. - p.check_resolved( - "keycloak.internal", - &[IpAddr::V4(Ipv4Addr::new(10, 42, 1, 5))], - ) - .unwrap(); - // Allowed host but CIDR outside list. - assert!( - p.check_resolved( - "keycloak.internal", - &[IpAddr::V4(Ipv4Addr::new(10, 43, 0, 1))] - ) - .is_err() - ); - // Non-allowlisted host — private IP refused. - assert!( - p.check_resolved( - "evil.example.com", - &[IpAddr::V4(Ipv4Addr::new(10, 42, 0, 1))] - ) - .is_err() - ); - } - - #[test] - fn mixed_addrs_fail_if_any_outside_allowed_set() { - let p = - JwksPolicy::from_parts(false, &["h.internal".into()], &["10.0.0.0/8".into()]).unwrap(); - // One public + one private-but-allowed: OK. - p.check_resolved( - "h.internal", - &[ - IpAddr::V4(Ipv4Addr::new(93, 184, 216, 34)), - IpAddr::V4(Ipv4Addr::new(10, 1, 2, 3)), - ], - ) - .unwrap(); - // One public + one loopback (not in cidr): fails. - assert!( - p.check_resolved( - "h.internal", - &[ - IpAddr::V4(Ipv4Addr::new(93, 184, 216, 34)), - IpAddr::V4(Ipv4Addr::LOCALHOST), - ], - ) - .is_err() - ); - } - - #[test] - fn v6_unique_local_with_cidr() { - let p = - JwksPolicy::from_parts(false, &["v6.internal".into()], &["fd00::/8".into()]).unwrap(); - p.check_resolved( - "v6.internal", - &[IpAddr::V6(Ipv6Addr::new(0xfd12, 0, 0, 0, 0, 0, 0, 1))], - ) - .unwrap(); - // Link-local outside the CIDR stays rejected. - assert!( - p.check_resolved( - "v6.internal", - &[IpAddr::V6(Ipv6Addr::new(0xfe80, 0, 0, 0, 0, 0, 0, 1))] - ) - .is_err() - ); - } - - #[test] - fn bad_cidr_string_errors_at_build_time() { - assert!(JwksPolicy::from_parts(false, &[], &["not-a-cidr".into()]).is_err()); - assert!(JwksPolicy::from_parts(false, &[], &["10.0.0.0/40".into()]).is_err()); - } - - #[test] - fn cidr_contains_basic() { - let c4 = Cidr::parse("10.0.0.0/8").unwrap(); - assert!(c4.contains(&IpAddr::V4(Ipv4Addr::new(10, 99, 0, 1)))); - assert!(!c4.contains(&IpAddr::V4(Ipv4Addr::new(11, 0, 0, 1)))); - let c6 = Cidr::parse("fd00::/8").unwrap(); - assert!(c6.contains(&IpAddr::V6(Ipv6Addr::new(0xfd12, 0, 0, 0, 0, 0, 0, 1)))); - assert!(!c6.contains(&IpAddr::V6(Ipv6Addr::new(0xfe80, 0, 0, 0, 0, 0, 0, 1)))); - } -} diff --git a/nodedb/src/control/security/keystore/derivation.rs b/nodedb/src/control/security/keystore/derivation.rs index e904d5055..8bfa6b7b6 100644 --- a/nodedb/src/control/security/keystore/derivation.rs +++ b/nodedb/src/control/security/keystore/derivation.rs @@ -9,6 +9,7 @@ use super::file::FileKeyProvider; use super::provider::KeyProvider; use super::vault::VaultKeyProvider; use crate::Result; +use crate::control::security::egress::RemoteSources; /// How the server obtains its 32-byte AES-256 encryption key. /// @@ -79,11 +80,24 @@ pub enum KeyDerivation { } impl KeyDerivation { + /// The `type` name of this source, for log lines and errors. + pub fn kind(&self) -> &'static str { + match self { + KeyDerivation::File { .. } => "file", + KeyDerivation::Vault { .. } => "vault", + KeyDerivation::AwsKms { .. } => "aws_kms", + } + } + /// Build a boxed `KeyProvider` for this derivation config. /// /// This is called once at startup. The returned provider's `unwrap_key()` - /// is then called to obtain the 32-byte plaintext key. - pub async fn into_provider(self) -> Result> { + /// is then called to obtain the 32-byte plaintext key. A Vault provider + /// reaches Vault through the outbound client of `sources`. + pub async fn into_provider( + self, + sources: &RemoteSources, + ) -> Result> { match self { KeyDerivation::File { key_path } => Ok(Box::new(FileKeyProvider { key_path })), KeyDerivation::Vault { @@ -98,7 +112,8 @@ impl KeyDerivation { key_name, mount, ciphertext_blob_path, - ))), + sources, + )?)), KeyDerivation::AwsKms { key_id, region, diff --git a/nodedb/src/control/security/keystore/mod.rs b/nodedb/src/control/security/keystore/mod.rs index 4e7799a70..c2bb4d865 100644 --- a/nodedb/src/control/security/keystore/mod.rs +++ b/nodedb/src/control/security/keystore/mod.rs @@ -6,9 +6,11 @@ pub mod file; pub mod key_file_security; pub mod provider; pub mod vault; +pub mod wal_key; pub use aws_kms::AwsKmsProvider; pub use derivation::KeyDerivation; pub use file::FileKeyProvider; pub use provider::KeyProvider; pub use vault::VaultKeyProvider; +pub use wal_key::load_wal_key; diff --git a/nodedb/src/control/security/keystore/vault.rs b/nodedb/src/control/security/keystore/vault.rs index 27f60f62d..edcf75ba9 100644 --- a/nodedb/src/control/security/keystore/vault.rs +++ b/nodedb/src/control/security/keystore/vault.rs @@ -34,6 +34,10 @@ use crate::Result; use super::KeyProvider; use super::key_file_security::check_key_file; +use crate::control::security::egress::RemoteSources; + +/// Cap on one Vault request, connect and read included. +const VAULT_TIMEOUT: std::time::Duration = std::time::Duration::from_secs(30); /// Vault transit-engine key provider. pub struct VaultKeyProvider { @@ -42,25 +46,39 @@ pub struct VaultKeyProvider { pub(super) key_name: String, pub(super) mount: String, pub(super) ciphertext_blob_path: PathBuf, - client: reqwest::Client, + /// The outbound egress client of the server's `[egress]` policy. + client: std::sync::Arc, } impl VaultKeyProvider { + /// A provider for the Vault at `addr`, reached through the outbound + /// client of `sources`. The address is operator config: one the + /// `[egress]` policy refuses is an error, so its host must be on the + /// allow-list. pub(super) fn new( addr: String, token_path: PathBuf, key_name: String, mount: String, ciphertext_blob_path: PathBuf, - ) -> Self { - Self { + sources: &RemoteSources, + ) -> Result { + sources + .egress() + .check_url(&addr) + .map_err(|e| crate::Error::Config { + detail: format!( + "Vault addr fails the [egress] policy: {e}; put its host on allow_hosts" + ), + })?; + Ok(Self { addr, token_path, key_name, mount, ciphertext_blob_path, - client: reqwest::Client::new(), - } + client: std::sync::Arc::clone(sources.http()), + }) } fn read_token(&self) -> Result { @@ -111,6 +129,7 @@ impl VaultKeyProvider { .client .post(&url) .header("X-Vault-Token", &token) + .timeout(VAULT_TIMEOUT) .json(&serde_json::json!({ "ciphertext": ciphertext })) .send() .await @@ -153,6 +172,7 @@ impl VaultKeyProvider { .client .post(&url) .header("X-Vault-Token", &token) + .timeout(VAULT_TIMEOUT) .json(&serde_json::json!({ "ciphertext": old_ciphertext })) .send() .await @@ -286,6 +306,46 @@ mod tests { }) } + /// Remote sources whose `[egress]` policy admits plaintext + /// `http://localhost` resolving to loopback, as an operator allow-lists a + /// private Vault. + fn loopback() -> RemoteSources { + RemoteSources::new(std::sync::Arc::new( + crate::control::security::egress::EgressPolicy::from_parts( + true, + &["localhost".to_string()], + &["127.0.0.0/8".to_string(), "::1/128".to_string()], + ) + .expect("valid policy"), + )) + .expect("remote sources") + } + + /// A Vault address outside the `[egress]` policy is refused before any + /// request: an IP literal always, and a host off the allow-list. + #[test] + fn a_vault_addr_outside_the_egress_policy_is_refused() { + let strict = RemoteSources::new(std::sync::Arc::new( + crate::control::security::egress::EgressPolicy::strict(), + )) + .expect("remote sources"); + for (addr, sources) in [ + ("http://127.0.0.1:8200", loopback()), + ("http://vault.internal:8200", strict), + ] { + let refused = VaultKeyProvider::new( + addr.into(), + "token".into(), + "mykey".into(), + "transit".into(), + "blob".into(), + &sources, + ); + let detail = refused.err().map(|e| e.to_string()).unwrap_or_default(); + assert!(detail.contains("[egress]"), "{addr}: {detail}"); + } + } + /// Write a file with secure Unix permissions (0o600) for use in tests. #[cfg(unix)] fn write_secure(path: &std::path::Path, content: &[u8]) { @@ -310,12 +370,14 @@ mod tests { write_secure(&blob_path, b"vault:v1:someciphertext=="); let provider = VaultKeyProvider::new( - format!("http://127.0.0.1:{port}"), + format!("http://localhost:{port}"), token_path, "mykey".into(), "transit".into(), blob_path, - ); + &loopback(), + ) + .expect("an allow-listed Vault"); let key = provider.unwrap_key().await.unwrap(); assert_eq!(*key, [0x42u8; 32]); @@ -335,12 +397,14 @@ mod tests { write_secure(&blob_path, b"vault:v1:cipher=="); let provider = VaultKeyProvider::new( - format!("http://127.0.0.1:{port}"), + format!("http://localhost:{port}"), token_path, "badkey".into(), "transit".into(), blob_path, - ); + &loopback(), + ) + .expect("an allow-listed Vault"); let err = provider.unwrap_key().await.unwrap_err(); let detail = format!("{err:?}"); @@ -364,12 +428,14 @@ mod tests { write_secure(&blob_path, b"vault:v1:original=="); let provider = VaultKeyProvider::new( - format!("http://127.0.0.1:{port}"), + format!("http://localhost:{port}"), token_path, "mykey".into(), "transit".into(), blob_path.clone(), - ); + &loopback(), + ) + .expect("an allow-listed Vault"); let key = provider.rotate().await.unwrap(); assert_eq!(*key, [0x42u8; 32]); @@ -395,12 +461,14 @@ mod tests { write_secure(&blob_path, b"vault:v1:cipher=="); let provider = VaultKeyProvider::new( - "http://127.0.0.1:1".into(), // unreachable — error before HTTP + "http://localhost:1".into(), // unreachable — error before HTTP token_path, "mykey".into(), "transit".into(), blob_path, - ); + &loopback(), + ) + .expect("an allow-listed Vault"); let err = provider.unwrap_key().await.unwrap_err(); let detail = format!("{err:?}"); diff --git a/nodedb/src/control/security/keystore/wal_key.rs b/nodedb/src/control/security/keystore/wal_key.rs new file mode 100644 index 000000000..571dc18bc --- /dev/null +++ b/nodedb/src/control/security/keystore/wal_key.rs @@ -0,0 +1,70 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Load the WAL key from the source `[encryption]` names: a key file, Vault, +//! or AWS KMS. The WAL key also derives the segment and checkpoint keys. + +use std::sync::Arc; + +use crate::config::server::EncryptionSettings; +use crate::control::security::egress::{EgressPolicy, RemoteSources}; + +/// The WAL key `settings` names, read from its file or unwrapped by its +/// key-management service. A Vault request goes through `egress`, the +/// server's `[egress]` policy. +pub async fn load_wal_key( + settings: &EncryptionSettings, + egress: Arc, +) -> crate::Result { + let source = settings.source()?; + let kind = source.kind(); + let sources = RemoteSources::new(egress).map_err(|e| crate::Error::Config { + detail: format!("[encryption] {kind} key source: outbound HTTP client: {e}"), + })?; + let provider = source.into_provider(&sources).await?; + let key = provider.unwrap_key().await?; + nodedb_wal::crypto::WalEncryptionKey::from_bytes(&key).map_err(crate::Error::Wal) +} + +#[cfg(test)] +mod tests { + use super::*; + + #[cfg(unix)] + #[tokio::test] + async fn a_key_file_is_the_default_source() { + use std::os::unix::fs::PermissionsExt as _; + let dir = tempfile::tempdir().expect("tempdir"); + let path = dir.path().join("wal.key"); + std::fs::write(&path, [0x24u8; 32]).expect("write key"); + std::fs::set_permissions(&path, std::fs::Permissions::from_mode(0o600)) + .expect("restrict key"); + let key = load_wal_key( + &EncryptionSettings::file(path), + Arc::new(EgressPolicy::strict()), + ) + .await + .expect("the file key loads"); + let expected = nodedb_wal::crypto::WalEncryptionKey::with_epoch(&[0x24u8; 32], [0u8; 4]); + let sealed = expected + .encrypt_aad(1, b"header", b"payload") + .expect("encrypt with the expected key"); + let opened = key + .decrypt_aad(&[0u8; 4], 1, b"header", &sealed) + .expect("the loaded key opens what the file key sealed"); + assert_eq!(opened, b"payload"); + } + + #[tokio::test] + async fn a_settings_block_with_no_source_is_refused() { + let empty = EncryptionSettings { + key_path: None, + key_derivation: None, + }; + let refused = load_wal_key(&empty, Arc::new(EgressPolicy::strict())).await; + assert!( + refused + .err() + .is_some_and(|e| e.to_string().contains("[encryption]")) + ); + } +} diff --git a/nodedb/src/control/security/mod.rs b/nodedb/src/control/security/mod.rs index ca20d0c6a..23c9d7157 100644 --- a/nodedb/src/control/security/mod.rs +++ b/nodedb/src/control/security/mod.rs @@ -15,6 +15,7 @@ pub mod conditional; pub mod credential; pub mod crl; pub mod deny; +pub mod egress; pub mod emergency; pub mod encryption; pub mod escalation; @@ -28,6 +29,7 @@ pub mod jwt_policy; pub mod keystore; pub mod metering; pub mod mtls; +pub mod net; pub mod observability; pub mod oidc; pub mod org; @@ -50,6 +52,7 @@ pub mod session_handle; pub mod session_registry; pub mod sessions; pub mod siem; +pub mod source_credential; pub mod tenant; pub mod time; pub mod tls_policy; diff --git a/nodedb/src/control/security/net/cidr.rs b/nodedb/src/control/security/net/cidr.rs new file mode 100644 index 000000000..93cd042b8 --- /dev/null +++ b/nodedb/src/control/security/net/cidr.rs @@ -0,0 +1,144 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A CIDR block: the one address-range type the IP blacklist, the +//! conditional-grant IP rule and the egress allow-list share. + +use std::net::IpAddr; + +/// An IPv4 or IPv6 address block. A block matches only addresses of its +/// own family. An IPv4-mapped IPv6 address matches as its IPv4 form. +#[derive(Debug, Clone, Copy, PartialEq, Eq)] +pub struct Cidr { + base: u128, + mask: u128, + prefix_len: u8, + is_v4: bool, +} + +impl Cidr { + /// Parse `"10.42.0.0/16"`, `"fd00::/8"`, or a single host such as + /// `"192.168.1.100"` (a `/32` or `/128`). Returns `None` when the input + /// is not an address with an optional prefix no wider than the family. + pub fn parse(s: &str) -> Option { + let (ip_str, prefix_str) = match s.split_once('/') { + Some((ip, prefix)) => (ip, Some(prefix)), + None => (s, None), + }; + let ip: IpAddr = ip_str.parse().ok()?; + let width = family_width(&ip); + let prefix_len = match prefix_str { + Some(p) => p.parse::().ok()?, + None => width, + }; + if prefix_len > width { + return None; + } + let mask = mask_of(prefix_len, width); + Some(Self { + base: bits_of(&ip) & mask, + mask, + prefix_len, + is_v4: ip.is_ipv4(), + }) + } + + /// The prefix length: 24 for a `/24`. + pub fn prefix_len(&self) -> u8 { + self.prefix_len + } + + /// Whether `ip` lies inside the block. + pub fn contains(&self, ip: &IpAddr) -> bool { + let ip = ip.to_canonical(); + ip.is_ipv4() == self.is_v4 && bits_of(&ip) & self.mask == self.base + } +} + +/// The address width of `ip`'s family in bits. +fn family_width(ip: &IpAddr) -> u8 { + if ip.is_ipv4() { 32 } else { 128 } +} + +/// The address as an integer. An IPv4 address fills the low 32 bits. +fn bits_of(ip: &IpAddr) -> u128 { + match ip { + IpAddr::V4(v4) => u128::from(u32::from(*v4)), + IpAddr::V6(v6) => u128::from(*v6), + } +} + +/// The mask of the top `prefix_len` bits of a `width`-bit address. +fn mask_of(prefix_len: u8, width: u8) -> u128 { + if prefix_len == 0 { + return 0; + } + let full = u128::MAX >> (128 - u32::from(width)); + (full >> (width - prefix_len)) << (width - prefix_len) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn ip(s: &str) -> IpAddr { + s.parse().expect("ip") + } + + fn cidr(s: &str) -> Cidr { + Cidr::parse(s).expect("cidr") + } + + #[test] + fn ranges_contain_their_addresses() { + assert!(cidr("10.0.0.0/8").contains(&ip("10.255.255.255"))); + assert!(!cidr("10.0.0.0/8").contains(&ip("11.0.0.1"))); + assert!(cidr("192.168.1.0/24").contains(&ip("192.168.1.254"))); + assert!(!cidr("192.168.1.0/24").contains(&ip("192.168.2.1"))); + assert!(cidr("2001:db8::/32").contains(&ip("2001:db8:ffff::1"))); + assert!(!cidr("2001:db8::/32").contains(&ip("2001:db9::1"))); + assert!(cidr("fd00::/8").contains(&ip("fd12::1"))); + assert!(!cidr("fd00::/8").contains(&ip("fe80::1"))); + assert_eq!(cidr("10.0.0.0/8").prefix_len(), 8); + } + + #[test] + fn a_bare_address_is_a_single_host() { + let host = cidr("192.168.1.100"); + assert_eq!(host.prefix_len(), 32); + assert!(host.contains(&ip("192.168.1.100"))); + assert!(!host.contains(&ip("192.168.1.101"))); + let host6 = cidr("2001:db8::1"); + assert_eq!(host6.prefix_len(), 128); + assert!(host6.contains(&ip("2001:db8::1"))); + assert!(!host6.contains(&ip("2001:db8::2"))); + } + + #[test] + fn a_block_matches_only_its_own_family() { + // `::a00:1` has the same low 32 bits as `10.0.0.1`. + assert!(!cidr("10.0.0.0/8").contains(&ip("::a00:1"))); + assert!(!cidr("0.0.0.0/0").contains(&ip("2001:db8::1"))); + assert!(!cidr("::/0").contains(&ip("10.0.0.1"))); + assert!(cidr("0.0.0.0/0").contains(&ip("10.0.0.1"))); + assert!(cidr("::/0").contains(&ip("2001:db8::1"))); + } + + #[test] + fn a_mapped_address_matches_as_ipv4() { + assert!(cidr("10.0.0.0/8").contains(&ip("::ffff:10.0.0.5"))); + assert!(!cidr("::ffff:0:0/96").contains(&ip("::ffff:10.0.0.5"))); + } + + #[test] + fn malformed_input_is_refused() { + for bad in [ + "not-an-ip", + "10.0.0.0/33", + "::/129", + "10.0.0.0/", + "10.0.0.0/x", + ] { + assert!(Cidr::parse(bad).is_none(), "{bad}"); + } + } +} diff --git a/nodedb/src/control/security/net/mod.rs b/nodedb/src/control/security/net/mod.rs new file mode 100644 index 000000000..a57d7ee96 --- /dev/null +++ b/nodedb/src/control/security/net/mod.rs @@ -0,0 +1,5 @@ +// SPDX-License-Identifier: BUSL-1.1 + +pub mod cidr; + +pub use cidr::Cidr; diff --git a/nodedb/src/control/security/predicate_typing.rs b/nodedb/src/control/security/predicate_typing.rs index 165e36ae1..b9d2eebb0 100644 --- a/nodedb/src/control/security/predicate_typing.rs +++ b/nodedb/src/control/security/predicate_typing.rs @@ -124,7 +124,8 @@ fn sql_literal_to_predicate_value( | SqlValue::Decimal(_) | SqlValue::String(_) | SqlValue::Bytes(_) - | SqlValue::Array(_) => PredicateValue::Literal(original), + | SqlValue::Array(_) + | SqlValue::Geometry(_) => PredicateValue::Literal(original), } } diff --git a/nodedb/src/control/security/rls/eval.rs b/nodedb/src/control/security/rls/eval.rs index 3d536f07c..f2fd22a03 100644 --- a/nodedb/src/control/security/rls/eval.rs +++ b/nodedb/src/control/security/rls/eval.rs @@ -95,6 +95,7 @@ impl RlsPolicyStore { document: &serde_json::Value, auth: &AuthContext, emitter: &dyn AuditEmitter, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result<()> { if auth.is_superuser() { return Ok(()); @@ -107,9 +108,16 @@ impl RlsPolicyStore { for policy in &policies { if let Some(ref compiled) = policy.compiled_predicate { - check_compiled_write( - policy, compiled, document, auth, tenant_id, collection, emitter, - )?; + check_compiled_write(CompiledWriteCheck { + policy, + compiled, + document, + auth, + tenant_id, + collection, + emitter, + crs, + })?; } } @@ -172,6 +180,7 @@ pub fn admit_compiled_write_image( image: &[u8], tenant_id: u64, collection: &str, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result<()> { if compiled.is_empty() { return Ok(()); @@ -184,22 +193,36 @@ pub fn admit_compiled_write_image( tenant_id: crate::types::TenantId::new(tenant_id), resource: format!("RLS write policy on '{collection}' {detail}"), }; - match crate::bridge::scan_filter::ScanFilter::all_match_binary(&filters, image) { + match crate::bridge::scan_filter::ScanFilter::all_match_binary(&filters, image, crs) { Ok(true) => Ok(()), Ok(false) => Err(deny("rejected the row".into())), Err(error) => Err(deny(format!("could not be evaluated: {error}"))), } } -fn check_compiled_write( - policy: &RlsPolicy, - compiled: &RlsPredicate, - document: &serde_json::Value, - auth: &AuthContext, +/// One compiled write policy judged against one document. +struct CompiledWriteCheck<'a> { + policy: &'a RlsPolicy, + compiled: &'a RlsPredicate, + document: &'a serde_json::Value, + auth: &'a AuthContext, tenant_id: u64, - collection: &str, - emitter: &dyn AuditEmitter, -) -> crate::Result<()> { + collection: &'a str, + emitter: &'a dyn AuditEmitter, + crs: &'a nodedb_crs::CrsContext<'a>, +} + +fn check_compiled_write(check: CompiledWriteCheck<'_>) -> crate::Result<()> { + let CompiledWriteCheck { + policy, + compiled, + document, + auth, + tenant_id, + collection, + emitter, + crs, + } = check; let filters = match substitute_to_scan_filters(compiled, auth) { Some(f) => f, None => { @@ -233,7 +256,7 @@ fn check_compiled_write( }; let doc_mp = nodedb_types::json_to_msgpack_or_empty(document); - if !crate::bridge::scan_filter::ScanFilter::all_match_binary(&filters, &doc_mp)? { + if !crate::bridge::scan_filter::ScanFilter::all_match_binary(&filters, &doc_mp, crs)? { info!( policy = %policy.name, username = %auth.username, @@ -330,7 +353,14 @@ mod tests { let doc_ok = serde_json::json!({"owner_id": "42", "amount": 100}); assert!( store - .check_write_with_auth(1, "orders", &doc_ok, &auth, NOOP) + .check_write_with_auth( + 1, + "orders", + &doc_ok, + &auth, + NOOP, + &nodedb_crs::CrsContext::builtin_only() + ) .is_ok() ); @@ -338,7 +368,14 @@ mod tests { let doc_bad = serde_json::json!({"owner_id": "99", "amount": 100}); assert!( store - .check_write_with_auth(1, "orders", &doc_bad, &auth, NOOP) + .check_write_with_auth( + 1, + "orders", + &doc_bad, + &auth, + NOOP, + &nodedb_crs::CrsContext::builtin_only() + ) .is_err() ); } @@ -350,7 +387,14 @@ mod tests { let doc = serde_json::json!({"anything": "goes"}); assert!( store - .check_write_with_auth(1, "whatever", &doc, &auth, NOOP) + .check_write_with_auth( + 1, + "whatever", + &doc, + &auth, + NOOP, + &nodedb_crs::CrsContext::builtin_only() + ) .is_ok() ); } @@ -371,7 +415,14 @@ mod tests { let auth = nonsuper_auth(); let doc = serde_json::json!({"org_id": "some_org"}); - let result = store.check_write_with_auth(1, "orders", &doc, &auth, NOOP); + let result = store.check_write_with_auth( + 1, + "orders", + &doc, + &auth, + NOOP, + &nodedb_crs::CrsContext::builtin_only(), + ); assert!( result.is_err(), "RLS must fail-closed on unresolvable $auth ref; got {result:?}" @@ -394,7 +445,14 @@ mod tests { let doc = serde_json::json!({"secret_scope": "admin"}); let auth = nonsuper_auth(); - let result = store.check_write_with_auth(1, "orders", &doc, &auth, NOOP); + let result = store.check_write_with_auth( + 1, + "orders", + &doc, + &auth, + NOOP, + &nodedb_crs::CrsContext::builtin_only(), + ); assert!( result.is_err(), "write path must fail-closed on unresolvable auth ref; got {result:?}" @@ -419,7 +477,14 @@ mod tests { // alice's user_id is 42; owner_id is 99 → denied. let doc_bad = serde_json::json!({"owner_id": "99", "qty": 1}); let emitter = CapturingEmitter::new(); - let result = store.check_write_with_auth(1, "items", &doc_bad, &auth, &emitter); + let result = store.check_write_with_auth( + 1, + "items", + &doc_bad, + &auth, + &emitter, + &nodedb_crs::CrsContext::builtin_only(), + ); assert!(result.is_err()); let recorded = emitter.recorded(); @@ -444,7 +509,14 @@ mod tests { let auth = nonsuper_auth(); let doc_ok = serde_json::json!({"owner_id": "42", "qty": 1}); let emitter = CapturingEmitter::new(); - let result = store.check_write_with_auth(1, "items", &doc_ok, &auth, &emitter); + let result = store.check_write_with_auth( + 1, + "items", + &doc_ok, + &auth, + &emitter, + &nodedb_crs::CrsContext::builtin_only(), + ); assert!(result.is_ok()); assert!(emitter.recorded().is_empty()); } @@ -540,7 +612,13 @@ mod tests { }]; let compiled = encode_scan_filters(&filters).expect("encodes"); let image = nodedb_types::json_to_msgpack_or_empty(&serde_json::json!({"qty": 1})); - let result = admit_compiled_write_image(&compiled, &image, 1, "items"); + let result = admit_compiled_write_image( + &compiled, + &image, + 1, + "items", + &nodedb_crs::CrsContext::builtin_only(), + ); match result { Err(crate::Error::RejectedAuthz { resource, .. }) => { assert!( diff --git a/nodedb/src/control/security/siem/delivery.rs b/nodedb/src/control/security/siem/delivery.rs index 38955cb4d..f5b10dff5 100644 --- a/nodedb/src/control/security/siem/delivery.rs +++ b/nodedb/src/control/security/siem/delivery.rs @@ -45,6 +45,12 @@ impl SiemExporter { } let count = batch.len(); + // An IP-literal host is never resolved, so only this check refuses it. + if let Err(e) = self.policy.check_url(&self.config.webhook_url) { + warn!(error = %e, events = count, "SIEM webhook URL fails the [egress] policy"); + return self.fail(batch, audit_len); + } + let (body, signature) = match self.build_webhook_payload(&batch) { Ok(payload) => payload, Err(e) => { @@ -100,6 +106,10 @@ mod tests { use crate::control::security::audit::AuditEvent; use crate::control::security::siem::config::SiemConfig; + fn exporter(config: SiemConfig) -> SiemExporter { + SiemExporter::strict_for_test(config) + } + fn entry(seq: u64) -> AuditEntry { AuditEntry { seq, @@ -118,7 +128,7 @@ mod tests { #[tokio::test] async fn no_webhook_url_is_idle_and_keeps_the_buffer() { - let exporter = SiemExporter::new(SiemConfig { + let exporter = exporter(SiemConfig { destinations: vec!["splunk".into()], ..Default::default() }); @@ -129,7 +139,7 @@ mod tests { #[tokio::test] async fn empty_buffers_are_idle() { - let exporter = SiemExporter::new(SiemConfig { + let exporter = exporter(SiemConfig { destinations: vec!["webhook".into()], webhook_url: "http://127.0.0.1:1/ingest".into(), ..Default::default() @@ -139,13 +149,13 @@ mod tests { /// No local HTTP sink is available in unit tests, so the success path is /// covered by payload-construction tests; here the reachable behaviour is - /// the failure path — a refused connection must requeue every event and - /// count the failure rather than silently discarding the batch. + /// the failure path. The strict egress policy refuses the IP-literal URL, + /// and the refusal must requeue every event and count the failure rather + /// than silently discarding the batch. #[tokio::test] async fn failed_delivery_requeues_both_buffers() { - let exporter = SiemExporter::new(SiemConfig { + let exporter = exporter(SiemConfig { destinations: vec!["webhook".into()], - // Port 1 is reserved and refuses connections immediately. webhook_url: "http://127.0.0.1:1/ingest".into(), webhook_timeout_secs: 2, ..Default::default() diff --git a/nodedb/src/control/security/siem/exporter.rs b/nodedb/src/control/security/siem/exporter.rs index 10a83c82d..7dab2c60e 100644 --- a/nodedb/src/control/security/siem/exporter.rs +++ b/nodedb/src/control/security/siem/exporter.rs @@ -19,14 +19,17 @@ use std::sync::{Arc, RwLock}; use super::config::SiemConfig; use crate::control::security::audit::AuditEntry; +use crate::control::security::egress::{EgressPolicy, outbound_client}; /// SIEM export adapter: buffers events for CDC streaming and webhook delivery. pub struct SiemExporter { pub(super) config: SiemConfig, /// Shared HTTP client — constructed once at startup and reused across /// every webhook flush so we don't rebuild the connection pool and - /// TLS session cache per call. + /// TLS session cache per call. It is the egress client built on `policy`. pub(super) client: Arc, + /// The `[egress]` policy the webhook URL passes before every flush. + pub(super) policy: Arc, /// Buffered audit events for CDC consumers. audit_buffer: RwLock>, /// Buffered auth events for CDC consumers. @@ -42,16 +45,24 @@ pub struct SiemExporter { } impl SiemExporter { - pub fn new(config: SiemConfig) -> Self { - Self::with_client(config, Arc::new(reqwest::Client::new())) - } - - /// Construct with an existing shared HTTP client. - pub fn with_client(config: SiemConfig, client: Arc) -> Self { + /// An exporter with its own egress client built on `policy`. + pub fn new(config: SiemConfig, policy: Arc) -> Result { + let client = Arc::new(outbound_client(Arc::clone(&policy))?); + Ok(Self::with_client(config, client, policy)) + } + + /// Construct with an existing shared HTTP client, the egress client + /// built on `policy`. + pub fn with_client( + config: SiemConfig, + client: Arc, + policy: Arc, + ) -> Self { let cap = config.buffer_size; Self { config, client, + policy, audit_buffer: RwLock::new(VecDeque::with_capacity(cap.min(10_000))), auth_buffer: RwLock::new(VecDeque::with_capacity(cap.min(10_000))), dropped_audit: AtomicU64::new(0), @@ -61,6 +72,12 @@ impl SiemExporter { } } + /// An exporter under the strict egress policy, for tests. + #[cfg(test)] + pub(crate) fn strict_for_test(config: SiemConfig) -> Self { + Self::new(config, Arc::new(EgressPolicy::strict())).expect("exporter") + } + /// Push an audit event to the export buffer. pub fn push_audit(&self, entry: AuditEntry) { self.push_bounded(&self.audit_buffer, &self.dropped_audit, entry); @@ -240,12 +257,6 @@ impl SiemExporter { } } -impl Default for SiemExporter { - fn default() -> Self { - Self::new(SiemConfig::default()) - } -} - /// Compute HMAC-SHA256 signature for webhook payload. pub(super) fn compute_hmac(secret: &str, message: &str) -> String { use hmac::{Hmac, Mac}; @@ -292,7 +303,7 @@ mod tests { #[test] fn buffer_and_drain() { - let exporter = SiemExporter::default(); + let exporter = SiemExporter::strict_for_test(SiemConfig::default()); exporter.push_audit(test_entry(1)); exporter.push_audit(test_entry(2)); exporter.push_auth(test_entry(3)); @@ -306,7 +317,7 @@ mod tests { #[test] fn push_past_buffer_size_is_bounded_and_counted() { - let exporter = SiemExporter::new(webhook_config(3)); + let exporter = SiemExporter::strict_for_test(webhook_config(3)); for seq in 0..10 { exporter.push_audit(test_entry(seq)); } @@ -325,7 +336,7 @@ mod tests { #[test] fn zero_capacity_buffers_nothing_and_counts_every_event() { - let exporter = SiemExporter::new(webhook_config(0)); + let exporter = SiemExporter::strict_for_test(webhook_config(0)); exporter.push_audit(test_entry(1)); exporter.push_auth(test_entry(2)); assert_eq!(exporter.buffered_count(), 0); @@ -335,7 +346,7 @@ mod tests { #[test] fn requeue_restores_order_and_respects_the_ceiling() { - let exporter = SiemExporter::new(webhook_config(3)); + let exporter = SiemExporter::strict_for_test(webhook_config(3)); exporter.push_audit(test_entry(10)); // Two in-flight events come back ahead of the one that arrived after. exporter.requeue_audit(vec![test_entry(1), test_entry(2)]); @@ -358,7 +369,7 @@ mod tests { webhook_hmac_secret: "test_secret".into(), ..Default::default() }; - let exporter = SiemExporter::new(config); + let exporter = SiemExporter::strict_for_test(config); let (body, signature) = exporter .build_webhook_payload(&[test_entry(1)]) @@ -371,7 +382,7 @@ mod tests { #[test] fn webhook_payload_carries_the_whole_drained_batch() { - let exporter = SiemExporter::new(webhook_config(10)); + let exporter = SiemExporter::strict_for_test(webhook_config(10)); let batch = vec![test_entry(1), test_entry(2), test_entry(3)]; let (body, signature) = exporter .build_webhook_payload(&batch) @@ -392,7 +403,7 @@ mod tests { #[test] fn default_exporter_is_not_configured() { - assert!(!SiemExporter::default().is_configured()); - assert!(SiemExporter::new(webhook_config(1)).is_configured()); + assert!(!SiemExporter::strict_for_test(SiemConfig::default()).is_configured()); + assert!(SiemExporter::strict_for_test(webhook_config(1)).is_configured()); } } diff --git a/nodedb/src/control/security/siem/metrics.rs b/nodedb/src/control/security/siem/metrics.rs index 02fa07aee..53e1b7949 100644 --- a/nodedb/src/control/security/siem/metrics.rs +++ b/nodedb/src/control/security/siem/metrics.rs @@ -94,13 +94,16 @@ mod tests { #[test] fn unconfigured_exporter_renders_nothing() { let mut out = String::new(); - render_prometheus(&SiemExporter::default(), &mut out); + render_prometheus( + &SiemExporter::strict_for_test(SiemConfig::default()), + &mut out, + ); assert!(out.is_empty()); } #[test] fn surfaces_buffer_overflow_drops() { - let exporter = SiemExporter::new(SiemConfig { + let exporter = SiemExporter::strict_for_test(SiemConfig { destinations: vec!["webhook".into()], buffer_size: 1, ..Default::default() diff --git a/nodedb/src/control/security/source_credential/kek.rs b/nodedb/src/control/security/source_credential/kek.rs new file mode 100644 index 000000000..2df60c6c5 --- /dev/null +++ b/nodedb/src/control/security/source_credential/kek.rs @@ -0,0 +1,60 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The key that seals `CREATE CREDENTIAL` secrets at rest, read from the +//! `[credential_encryption] key_path` file. +//! +//! Every node of a cluster reads the same key file, so a secret one node +//! seals opens on every node. The key file passes the same checks as the +//! WAL key: no symlink, a regular file, mode `0400` or `0600`, owned by the +//! server's user. + +use std::path::Path; + +use zeroize::Zeroizing; + +use crate::control::security::keystore::key_file_security::check_key_file; + +/// Bytes in the key. +pub const KEK_LEN: usize = 32; + +/// The credential key. `Debug` never prints it. +#[derive(Clone)] +pub struct CredentialKek(Zeroizing<[u8; KEK_LEN]>); + +impl CredentialKek { + /// The key `bytes`. + pub fn from_bytes(bytes: [u8; KEK_LEN]) -> Self { + Self(Zeroizing::new(bytes)) + } + + /// Read the key file at `path`: exactly 32 bytes. + pub fn read(path: &Path) -> crate::Result { + check_key_file(path)?; + let raw = Zeroizing::new(std::fs::read(path).map_err(|e| crate::Error::Encryption { + detail: format!("cannot read credential key file {}: {e}", path.display()), + })?); + let bytes: [u8; KEK_LEN] = + raw.as_slice() + .try_into() + .map_err(|_| crate::Error::Encryption { + detail: format!( + "credential key file {} holds {} bytes, expected {KEK_LEN}; generate one \ + with `head -c 32 /dev/urandom`", + path.display(), + raw.len() + ), + })?; + Ok(Self::from_bytes(bytes)) + } + + /// The key bytes. + pub(super) fn bytes(&self) -> &[u8; KEK_LEN] { + &self.0 + } +} + +impl std::fmt::Debug for CredentialKek { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + f.write_str("CredentialKek()") + } +} diff --git a/nodedb/src/control/security/source_credential/mod.rs b/nodedb/src/control/security/source_credential/mod.rs new file mode 100644 index 000000000..635269611 --- /dev/null +++ b/nodedb/src/control/security/source_credential/mod.rs @@ -0,0 +1,11 @@ +// SPDX-License-Identifier: BUSL-1.1 + +pub mod kek; +pub mod seal; +pub mod secret; +pub mod stored; + +pub use kek::CredentialKek; +pub use seal::{SealError, open_secret, seal_secret}; +pub use secret::CredentialSecret; +pub use stored::{CredentialKind, StoredCredential}; diff --git a/nodedb/src/control/security/source_credential/seal.rs b/nodedb/src/control/security/source_credential/seal.rs new file mode 100644 index 000000000..4ab946624 --- /dev/null +++ b/nodedb/src/control/security/source_credential/seal.rs @@ -0,0 +1,162 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Seal and open credential secrets: AES-256-GCM under a key derived from +//! the credential key with HKDF-SHA256. +//! +//! A sealed secret is `nonce (12 bytes) || ciphertext || tag`. The +//! additional data binds it to its tenant, name and type, so a sealed blob +//! copied onto another credential row fails to open. + +use aes_gcm::aead::{Aead as _, KeyInit as _, Payload}; +use aes_gcm::{Aes256Gcm, Nonce}; +use hkdf::Hkdf; +use sha2::Sha256; +use zeroize::Zeroizing; + +use super::kek::CredentialKek; +use super::secret::CredentialSecret; + +/// HKDF salt: the sealing scheme and its version. +const HKDF_SALT: &[u8] = b"nodedb-credential-v1"; +/// HKDF info: what the derived key encrypts. +const HKDF_INFO: &[u8] = b"credential-secret"; +/// Bytes of an AES-GCM nonce. +const NONCE_LEN: usize = 12; + +/// Why a secret did not seal or open. +#[derive(Debug, Clone, PartialEq, Eq, thiserror::Error)] +pub enum SealError { + #[error("credential key derivation failed")] + Derive, + #[error("the OS random source failed")] + Random, + #[error("credential secret encoding failed")] + Encode, + #[error("credential secret encryption failed")] + Encrypt, + #[error( + "the sealed credential does not open with this node's credential key; every node needs \ + the same [credential_encryption] key file, or the credential must be re-created" + )] + Open, +} + +/// The additional data of one credential row. +fn aad(tenant_id: u64, name: &str, kind: &str) -> Vec { + let mut out = Vec::with_capacity(16 + name.len() + kind.len()); + out.extend_from_slice(&tenant_id.to_be_bytes()); + out.extend_from_slice(&(name.len() as u64).to_be_bytes()); + out.extend_from_slice(name.as_bytes()); + out.extend_from_slice(kind.as_bytes()); + out +} + +fn cipher(kek: &CredentialKek) -> Result { + let mut key = Zeroizing::new([0u8; 32]); + Hkdf::::new(Some(HKDF_SALT), kek.bytes()) + .expand(HKDF_INFO, &mut *key) + .map_err(|_| SealError::Derive)?; + Aes256Gcm::new_from_slice(&*key).map_err(|_| SealError::Derive) +} + +/// Seal `secret` for credential `name` of `tenant_id`. +pub fn seal_secret( + kek: &CredentialKek, + tenant_id: u64, + name: &str, + secret: &CredentialSecret, +) -> Result, SealError> { + let plaintext = Zeroizing::new(zerompk::to_msgpack_vec(secret).map_err(|_| SealError::Encode)?); + let mut nonce = [0u8; NONCE_LEN]; + getrandom::fill(&mut nonce).map_err(|_| SealError::Random)?; + let ciphertext = cipher(kek)? + .encrypt( + &Nonce::from(nonce), + Payload { + msg: &plaintext, + aad: &aad(tenant_id, name, secret.type_name()), + }, + ) + .map_err(|_| SealError::Encrypt)?; + let mut sealed = Vec::with_capacity(NONCE_LEN + ciphertext.len()); + sealed.extend_from_slice(&nonce); + sealed.extend_from_slice(&ciphertext); + Ok(sealed) +} + +/// Open the sealed secret of credential `name` of `tenant_id`, whose type +/// is `kind`. +pub fn open_secret( + kek: &CredentialKek, + tenant_id: u64, + name: &str, + kind: &str, + sealed: &[u8], +) -> Result { + let (nonce, ciphertext) = sealed.split_at_checked(NONCE_LEN).ok_or(SealError::Open)?; + let nonce: [u8; NONCE_LEN] = nonce.try_into().map_err(|_| SealError::Open)?; + let plaintext = Zeroizing::new( + cipher(kek)? + .decrypt( + &Nonce::from(nonce), + Payload { + msg: ciphertext, + aad: &aad(tenant_id, name, kind), + }, + ) + .map_err(|_| SealError::Open)?, + ); + let secret: CredentialSecret = + zerompk::from_msgpack(&plaintext).map_err(|_| SealError::Open)?; + if secret.type_name() != kind { + return Err(SealError::Open); + } + Ok(secret) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn bearer() -> CredentialSecret { + CredentialSecret::Bearer { + token: "eyJ-token".into(), + } + } + + #[test] + fn a_sealed_secret_opens_only_on_its_own_row_and_key() { + let kek = CredentialKek::from_bytes([7; 32]); + let sealed = seal_secret(&kek, 1, "earthdata", &bearer()).expect("seals"); + assert!(!sealed.windows(9).any(|w| w == b"eyJ-token")); + let opened = open_secret(&kek, 1, "earthdata", "bearer", &sealed).expect("opens"); + assert_eq!(opened, bearer()); + let other_key = CredentialKek::from_bytes([8; 32]); + assert_eq!( + open_secret(&other_key, 1, "earthdata", "bearer", &sealed), + Err(SealError::Open) + ); + assert_eq!( + open_secret(&kek, 2, "earthdata", "bearer", &sealed), + Err(SealError::Open) + ); + assert_eq!( + open_secret(&kek, 1, "other", "bearer", &sealed), + Err(SealError::Open) + ); + assert_eq!( + open_secret(&kek, 1, "earthdata", "sas", &sealed), + Err(SealError::Open) + ); + assert_eq!( + open_secret(&kek, 1, "earthdata", "bearer", &sealed[..5]), + Err(SealError::Open) + ); + } + + #[test] + fn debug_never_prints_a_secret() { + let text = format!("{:?} {:?}", bearer(), CredentialKek::from_bytes([7; 32])); + assert!(!text.contains("eyJ"), "{text}"); + } +} diff --git a/nodedb/src/control/security/source_credential/secret.rs b/nodedb/src/control/security/source_credential/secret.rs new file mode 100644 index 000000000..98798ba6f --- /dev/null +++ b/nodedb/src/control/security/source_credential/secret.rs @@ -0,0 +1,62 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The plaintext of a credential: what a sealed credential opens to. It +//! never leaves the server: no SHOW, describe or error prints it, and its +//! `Debug` form is redacted. + +use zeroize::Zeroize; + +/// The secret fields of one credential, by type. +#[derive(Clone, PartialEq, Eq, zerompk::ToMessagePack, zerompk::FromMessagePack)] +pub enum CredentialSecret { + /// AWS keys for `s3://` sources. + S3 { + access_key_id: String, + secret_access_key: String, + region: String, + session_token: Option, + /// An S3-compatible endpoint in place of AWS. + endpoint: Option, + }, + /// An `Authorization: Bearer` token. + Bearer { token: String }, + /// A shared access signature appended to the URL query. + Sas { token: String }, +} + +impl CredentialSecret { + /// The `TYPE` keyword. + pub fn type_name(&self) -> &'static str { + match self { + Self::S3 { .. } => "s3", + Self::Bearer { .. } => "bearer", + Self::Sas { .. } => "sas", + } + } +} + +impl std::fmt::Debug for CredentialSecret { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + write!(f, "CredentialSecret::{}()", self.type_name()) + } +} + +impl Drop for CredentialSecret { + fn drop(&mut self) { + match self { + Self::S3 { + access_key_id, + secret_access_key, + session_token, + .. + } => { + access_key_id.zeroize(); + secret_access_key.zeroize(); + if let Some(token) = session_token { + token.zeroize(); + } + } + Self::Bearer { token } | Self::Sas { token } => token.zeroize(), + } + } +} diff --git a/nodedb/src/control/security/source_credential/stored.rs b/nodedb/src/control/security/source_credential/stored.rs new file mode 100644 index 000000000..bf80057df --- /dev/null +++ b/nodedb/src/control/security/source_credential/stored.rs @@ -0,0 +1,58 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The catalog row of one credential. The secret is sealed before the row +//! is proposed, so the metadata log, the catalog file and every snapshot +//! hold ciphertext only. + +use serde::{Deserialize, Serialize}; + +/// The credential type, readable without opening the secret. +#[derive( + Debug, + Clone, + Copy, + PartialEq, + Eq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub enum CredentialKind { + S3, + Bearer, + Sas, +} + +impl CredentialKind { + /// The `TYPE` keyword. + pub fn type_name(self) -> &'static str { + match self { + Self::S3 => "s3", + Self::Bearer => "bearer", + Self::Sas => "sas", + } + } +} + +/// One `CREATE CREDENTIAL` row. +#[derive( + Debug, + Clone, + PartialEq, + Eq, + Serialize, + Deserialize, + zerompk::ToMessagePack, + zerompk::FromMessagePack, +)] +pub struct StoredCredential { + pub tenant_id: u64, + pub name: String, + pub kind: CredentialKind, + /// The sealed `CredentialSecret`. + pub sealed: Vec, + /// The user that created it. + pub owner: String, + pub created_at_ms: u64, +} diff --git a/nodedb/src/control/server/dispatch_utils/change_events/extract.rs b/nodedb/src/control/server/dispatch_utils/change_events/extract.rs index 976600ac9..cc80642bc 100644 --- a/nodedb/src/control/server/dispatch_utils/change_events/extract.rs +++ b/nodedb/src/control/server/dispatch_utils/change_events/extract.rs @@ -485,6 +485,7 @@ mod tests { schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), returning: None, rls_filters: Vec::new(), @@ -501,6 +502,7 @@ mod tests { let plan = PhysicalPlan::Columnar(ColumnarOp::Delete { collection: QualifiedCollection::new(DatabaseId::DEFAULT, "metrics"), filters: Vec::new(), + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), }); let meta = extract_write_metadata(&plan, TenantId::new(1)); @@ -586,6 +588,7 @@ mod tests { system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, zone_msgpack: Vec::new(), + physical: false, }); assert!(extract_write_metadata(&slice, TenantId::new(1)).is_empty()); @@ -596,9 +599,10 @@ mod tests { group_by_dim: -1, slice_tile_keys: Vec::new(), prefix_bits: 8, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, region_msgpack: Vec::new(), + physical: false, }); assert!(extract_write_metadata(&agg, TenantId::new(1)).is_empty()); } @@ -615,6 +619,8 @@ mod tests { properties: Vec::new(), src_surrogate: Surrogate::new(1), dst_surrogate: Surrogate::new(2), + valid_from_ms: None, + valid_until_ms: None, }); let meta = extract_write_metadata(&plan, TenantId::new(1)); assert!(meta.is_empty()); diff --git a/nodedb/src/control/server/dispatch_utils/dispatch.rs b/nodedb/src/control/server/dispatch_utils/dispatch.rs index 95e4f8a9c..5338892ed 100644 --- a/nodedb/src/control/server/dispatch_utils/dispatch.rs +++ b/nodedb/src/control/server/dispatch_utils/dispatch.rs @@ -80,6 +80,7 @@ pub async fn dispatch_authorized_autocommit_write( apply_key: 0, commit_hlc: None, change_position: None, + system_ordinal: None, }, change_feed: ChangeFeedOwner::LocalApply, read_route: ReadRoute::Owned, @@ -121,6 +122,7 @@ pub(crate) async fn dispatch_authorized_autocommit_write_with_source( apply_key: 0, commit_hlc: None, change_position: None, + system_ordinal: None, }, change_feed: ChangeFeedOwner::LocalApply, read_route: ReadRoute::Owned, @@ -333,6 +335,7 @@ pub(crate) async fn dispatch_autocommit_write( apply_key: 0, commit_hlc: None, change_position: None, + system_ordinal: None, }, change_feed: ChangeFeedOwner::LocalApply, read_route: ReadRoute::Owned, @@ -1054,6 +1057,7 @@ mod tests { apply_key, commit_hlc: None, change_position: None, + system_ordinal: None, }, ordering: super::WriteOrdering::AlreadyOrdered, change_feed: super::ChangeFeedOwner::Unowned, diff --git a/nodedb/src/control/server/dispatch_utils/durable_write.rs b/nodedb/src/control/server/dispatch_utils/durable_write.rs index 8b952913b..001dfb619 100644 --- a/nodedb/src/control/server/dispatch_utils/durable_write.rs +++ b/nodedb/src/control/server/dispatch_utils/durable_write.rs @@ -6,9 +6,9 @@ //! //! - Replicable write: the write is proposed through Raft. Every replica //! applies the committed entry through the funnel, which appends the redo -//! record. The proposing node publishes the change event. An edge write -//! runs as a Calvin transaction at that seam instead -//! (`planner::calvin::edge_sequencing`). +//! record. The proposing node publishes the change event. An edge or label +//! write runs as a Calvin transaction at that seam instead +//! (`planner::calvin::graph_sequencing`). //! - A write inside a transaction block, or a plan with no replicated form: //! the write enters the funnel with `WalDurability::AppendHere`. The funnel //! appends the redo record under the write-admission guard, inside the diff --git a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/dispatch.rs b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/dispatch.rs index 8613f744a..8aac52cbe 100644 --- a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/dispatch.rs +++ b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/dispatch.rs @@ -49,9 +49,10 @@ pub(super) struct DispatchTarget { pub resolved_now_ms: Option, /// The write's commit HLC, which dates every event it emits. pub commit_hlc: u64, - /// The log position of the data-group entry the write applies, its - /// version on every replica. `None` for a write that applies no entry. - pub entry_version: Option, + /// The data-group entry the write applies: its version and the + /// system-time ordinal its leader assigned, alike on every replica. + /// `None` for a write that applies no entry. + pub entry_version: Option, pub admission: Admission, /// The record group the write journals its write set into. pub journal: Option, diff --git a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/driver.rs b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/driver.rs index 9e0ad428f..d89e69ef0 100644 --- a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/driver.rs +++ b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/driver.rs @@ -7,6 +7,7 @@ use std::sync::Arc; use crate::bridge::dispatch::JournalGroup; +use crate::bridge::envelope::AppliedEntry; use crate::control::server::dispatch_utils::change_events::{ PendingChanges, extract_write_change_set, }; @@ -397,10 +398,9 @@ pub(crate) async fn enqueue_write( wal_lsn, resolved_now_ms, commit_hlc, - // A write that applies a data-group entry versions its rows by - // the entry's position, which every replica shares. - entry_version: wal_append_outcome.change_position.map(|position| { - nodedb_types::WriteVersion::logged(position.epoch, position.log_index) + // An entry's position versions its rows, its leader's ordinal stamps them. + entry_version: wal_append_outcome.change_position.map(|at| { + AppliedEntry::logged(at.epoch, at.log_index, wal_append_outcome.system_ordinal) }), admission, journal, diff --git a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/pending.rs b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/pending.rs index 8361a1dea..cddad0858 100644 --- a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/pending.rs +++ b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/pending.rs @@ -93,6 +93,7 @@ fn timeseries_retry(params: &SubmitWrite) -> Option { apply_key: 0, commit_hlc, change_position: None, + system_ordinal: None, } = ¶ms.durability else { return None; @@ -123,6 +124,7 @@ fn timeseries_retry(params: &SubmitWrite) -> Option { apply_key: 0, commit_hlc: *commit_hlc, change_position: None, + system_ordinal: None, }, ordering: WriteOrdering::Gate, change_feed, diff --git a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/wal_append.rs b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/wal_append.rs index b2afe6892..da2a219ee 100644 --- a/nodedb/src/control/server/dispatch_utils/submit_write/funnel/wal_append.rs +++ b/nodedb/src/control/server/dispatch_utils/submit_write/funnel/wal_append.rs @@ -26,6 +26,8 @@ pub(super) struct WalAppendOutcome { pub group_origin: Option, /// The replicated position whose marker precedes the write's records. pub change_position: Option, + /// The system-time ordinal the leader of the applied entry assigned. + pub system_ordinal: Option, } /// Where and how [`authorize_and_append`] journals one write. @@ -88,11 +90,13 @@ pub(super) fn authorize_and_append( }); } - let marked_position = match &durability { + let (marked_position, system_ordinal) = match &durability { WalDurability::AppendHere { - change_position, .. - } => *change_position, - WalDurability::CallerSupplied { .. } => None, + change_position, + system_ordinal, + .. + } => (*change_position, *system_ordinal), + WalDurability::CallerSupplied { .. } => (None, None), }; let (wal_lsn, resolved_now_ms, group_origin) = match durability { WalDurability::AppendHere { @@ -103,6 +107,14 @@ pub(super) fn authorize_and_append( } => { // The marker precedes the redo in the WAL, so the fsync that makes // the redo durable makes the marker durable too. + // The rows' system-time ordinals are fixed here, under the guard + // and before the record, so the record carries them: the run the + // applied entry's leader assigned, else a run of this node's clock. + wal_dispatch::stamp_system_ordinals( + &mut plan, + &shared.wal.ordinal_clock(), + system_ordinal, + ); if let Some(position) = change_position { let marker = ChangePositionMarker { apply_key, @@ -166,6 +178,7 @@ pub(super) fn authorize_and_append( resolved_now_ms, group_origin, change_position: marked_position, + system_ordinal, }) } diff --git a/nodedb/src/control/server/dispatch_utils/submit_write/params.rs b/nodedb/src/control/server/dispatch_utils/submit_write/params.rs index 791fd34f9..489c2d1b7 100644 --- a/nodedb/src/control/server/dispatch_utils/submit_write/params.rs +++ b/nodedb/src/control/server/dispatch_utils/submit_write/params.rs @@ -36,11 +36,17 @@ pub(crate) enum WalDurability { /// write applies, `None` for a write no entry carries. The funnel makes it /// durable ahead of the redo and records it for the CDC router, so every /// replica positions the write's change events alike. + /// + /// `system_ordinal` is the system-time ordinal the leader of that entry + /// assigned, `None` for a write no entry carries. Every replica stamps + /// the write's bitemporal versions from it, so every replica writes the + /// same version keys. AppendHere { now_override: Option, apply_key: u64, commit_hlc: Option, change_position: Option, + system_ordinal: Option, }, /// The caller already recorded this write's durability elsewhere — COMMIT's /// single `Transaction` record, the procedural batch flush, a trigger / diff --git a/nodedb/src/control/server/dispatch_utils/write_abort.rs b/nodedb/src/control/server/dispatch_utils/write_abort.rs index 088202080..0fb27dfa4 100644 --- a/nodedb/src/control/server/dispatch_utils/write_abort.rs +++ b/nodedb/src/control/server/dispatch_utils/write_abort.rs @@ -61,6 +61,7 @@ fn is_transient_verdict(code: &ErrorCode) -> bool { | ErrorCode::ActiveSqlTransaction { .. } | ErrorCode::DependentObjectsExist { .. } | ErrorCode::NodeLabelLimit { .. } + | ErrorCode::ProgramLimitExceeded { .. } | ErrorCode::RejectedConstraint { .. } | ErrorCode::RejectedPrevalidation { .. } | ErrorCode::SyncRejected { .. } @@ -166,6 +167,8 @@ pub(crate) fn write_definitely_not_applied(code: &ErrorCode) -> bool { // A label write past the node-label cap is refused before any label of // the statement stays set. | ErrorCode::NodeLabelLimit { .. } + // A statement past a program limit is refused before it applies. + | ErrorCode::ProgramLimitExceeded { .. } // Expression evaluation failed before producing a value to write. | ErrorCode::DivisionByZero | ErrorCode::UndefinedFunction { .. } diff --git a/nodedb/src/control/server/exchange/all_cores/dispatch.rs b/nodedb/src/control/server/exchange/all_cores/dispatch.rs index 44addceb4..b1c697053 100644 --- a/nodedb/src/control/server/exchange/all_cores/dispatch.rs +++ b/nodedb/src/control/server/exchange/all_cores/dispatch.rs @@ -43,9 +43,10 @@ pub(crate) async fn execute_plan_all_local_cores( match &plan { PhysicalPlan::Graph(g) => match g { // ── MATCH / MatchContinuation ───────────────────────────────────── - GraphOp::Match { .. } - | GraphOp::MatchContinuation { .. } - | GraphOp::MatchVarLenResume { .. } => { + GraphOp::Match { scope, .. } + | GraphOp::MatchContinuation { scope, .. } + | GraphOp::MatchVarLenResume { scope, .. } => { + let scope = *scope; use crate::control::server::graph_dispatch::match_broadcast::broadcast_match_to_all_cores; use crate::data::executor::handlers::graph_match::encode_match_envelope_raw; @@ -63,6 +64,7 @@ pub(crate) async fn execute_plan_all_local_cores( crate::control::server::graph_dispatch::GraphRead { txn_id, linearizable: false, + scope, }, ) .await?; @@ -111,7 +113,6 @@ pub(crate) async fn execute_plan_all_local_cores( | GraphOp::SetNodeLabels { .. } | GraphOp::RemoveNodeLabels { .. } | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodeEdgeGuard { .. } | GraphOp::NodePresenceGuard { .. } @@ -150,6 +151,11 @@ pub(crate) async fn execute_plan_all_local_cores( MetaOp::TransactionBatch { .. } => Err(fanned_scoped_plan("TransactionBatch")), MetaOp::ApplyTransactionRedo { .. } => Err(fanned_scoped_plan("ApplyTransactionRedo")), MetaOp::RestoreRedo(_) => Err(fanned_scoped_plan("RestoreRedo")), + MetaOp::PurgeDepartedVShards { .. } => Err(crate::Error::Internal { + detail: "PurgeDepartedVShards reached the all-core fan; the departure purge \ + sends it to every core itself" + .into(), + }), // One image per core, kept apart by core id. A merged payload // loses which core each image belongs to. // Each core answers the probes of the vShards it owns. @@ -216,6 +222,7 @@ pub(crate) async fn execute_plan_all_local_cores( | MetaOp::RebuildIndex { .. } | MetaOp::PutSynonymGroup { .. } | MetaOp::DeleteSynonymGroup { .. } + | MetaOp::SetCustomCrsSet { .. } | MetaOp::CalvinDrop { .. } => { generic_gather(state, tenant_id, database_id, plan, trace_id, txn_id).await } diff --git a/nodedb/src/control/server/exchange/all_cores/fanout.rs b/nodedb/src/control/server/exchange/all_cores/fanout.rs index 089a123c1..e8e80cd44 100644 --- a/nodedb/src/control/server/exchange/all_cores/fanout.rs +++ b/nodedb/src/control/server/exchange/all_cores/fanout.rs @@ -102,7 +102,6 @@ async fn dispatch_all_cores( | GraphOp::SetNodeLabels { .. } | GraphOp::RemoveNodeLabels { .. } | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodeEdgeGuard { .. } | GraphOp::NodePresenceGuard { .. } diff --git a/nodedb/src/control/server/exchange/all_cores/mod.rs b/nodedb/src/control/server/exchange/all_cores/mod.rs index 0fd000c60..f2823bfe1 100644 --- a/nodedb/src/control/server/exchange/all_cores/mod.rs +++ b/nodedb/src/control/server/exchange/all_cores/mod.rs @@ -33,7 +33,7 @@ mod bsp; mod dispatch; mod fanout; mod home_versions; -mod read_cut; +pub(crate) mod read_cut; mod snapshot; mod wcc; diff --git a/nodedb/src/control/server/exchange/all_cores/read_cut.rs b/nodedb/src/control/server/exchange/all_cores/read_cut.rs index 879d20548..624a22075 100644 --- a/nodedb/src/control/server/exchange/all_cores/read_cut.rs +++ b/nodedb/src/control/server/exchange/all_cores/read_cut.rs @@ -29,9 +29,19 @@ use crate::control::state::SharedState; /// leader change can drop a proposed marker. const MARKER_RETRY: Duration = Duration::from_secs(1); -/// Resolve the read cut of a BSP or WCC `plan` on this node. A plan that -/// carries a cut marker gets its cut in `system_as_of`. Returns the cut the -/// plan's cores read at. A plan with neither a marker nor a cut is an error. +/// Resolve the read cut of a BSP or WCC `plan` on this node. Returns the cut +/// the plan's cores read at. A plan with neither a marker nor a cut is an +/// error. +/// +/// - A live run carries a marker and no cut. Its cut is the marker's cut, a +/// pure Calvin cut, so every node resolves the same one. +/// - A historical run (`AS OF SYSTEM TIME`) carries its statement's pinned +/// ordinal and a marker. The ordinal can sit above the marker's cut: the +/// statement's cap holds a clock part for writes outside Calvin. The node +/// waits for the marker, so every Calvin version sequenced before it is +/// installed, folds the ordinal into its ordinal clock, so no write it +/// stamps later lands at or below the cut, and reads at the ordinal +/// unchanged. pub(super) async fn resolve_plan_cut( state: &SharedState, plan: &mut PhysicalPlan, @@ -50,7 +60,11 @@ pub(super) async fn resolve_plan_cut( } }; if *marker != 0 { - *system_as_of = Some(resolve_read_cut(state, *marker).await?); + let cut = resolve_read_cut(state, *marker).await?; + match *system_as_of { + Some(pinned) => state.wal.ordinal_clock().update_from_remote(pinned), + None => *system_as_of = Some(cut), + } *marker = 0; } system_as_of.ok_or_else(|| crate::Error::Internal { @@ -61,10 +75,20 @@ pub(super) async fn resolve_plan_cut( } /// Propose the cut marker `marker` and wait until it applied here and every -/// local Calvin scheduler passed it. Returns the cut as a system-time -/// ordinal: `0` when no epoch applied before the marker, so no Calvin edge -/// version is visible. -async fn resolve_read_cut(state: &SharedState, marker: u64) -> crate::Result { +/// local Calvin scheduler passed it, within the running statement's +/// deadline. Returns the cut as a system-time ordinal: `0` when no epoch +/// applied before the marker, so no Calvin edge version is visible. +pub(crate) async fn resolve_read_cut(state: &SharedState, marker: u64) -> crate::Result { + resolve_read_cut_by(state, marker, StatementDeadline::of_statement(state)).await +} + +/// [`resolve_read_cut`] bounded by `statement`. A marker that did not apply +/// and pass every local scheduler by then is `Error::DeadlineExceeded`. +pub(crate) async fn resolve_read_cut_by( + state: &SharedState, + marker: u64, + statement: StatementDeadline, +) -> crate::Result { let proposer = state .calvin .sequencer_proposer @@ -82,7 +106,6 @@ async fn resolve_read_cut(state: &SharedState, marker: u64) -> crate::Result crate::Result= deadline { - return Err(crate::Error::Internal { - detail: format!( - "graph read cut: cut marker {marker} did not apply and pass every Calvin \ - scheduler of this node within the statement deadline ({} ms) (vShards \ - still before it: {:?}, last marker refusal: {}). Retry the query", - budget_ms, - state.calvin.cuts.lagging(marker), - last_refusal.as_deref().unwrap_or("none"), - ), + tracing::warn!( + marker, + budget_ms, + lagging = ?state.calvin.cuts.lagging(marker), + last_refusal = last_refusal.as_deref().unwrap_or("none"), + "graph read cut: the cut marker did not apply and pass every Calvin scheduler \ + of this node within the statement deadline" + ); + return Err(crate::Error::DeadlineExceeded { + request_id: crate::types::RequestId::new(0), }); } } diff --git a/nodedb/src/control/server/exchange/all_cores/snapshot.rs b/nodedb/src/control/server/exchange/all_cores/snapshot.rs index 5eef3a328..a1aa55d92 100644 --- a/nodedb/src/control/server/exchange/all_cores/snapshot.rs +++ b/nodedb/src/control/server/exchange/all_cores/snapshot.rs @@ -122,6 +122,8 @@ pub(super) fn merge_core_snapshots( edge_applied, tenant_edge_cuts, tenant_edge_applied, + node_labels, + node_label_versions, group_write_marks, group_proposal_keys, group_proposal_keys_complete_from, @@ -145,6 +147,8 @@ pub(super) fn merge_core_snapshots( merged.edge_applied.extend(edge_applied); merged.tenant_edge_cuts.extend(tenant_edge_cuts); merged.tenant_edge_applied.extend(tenant_edge_applied); + merged.node_labels.extend(node_labels); + merged.node_label_versions.extend(node_label_versions); merged.documents.extend(documents); merged.vector_multi_documents.extend(vector_multi_documents); merged.indexes.extend(indexes); @@ -181,6 +185,15 @@ pub(super) fn merge_core_snapshots( dedup_edges(&mut merged.tenant_edge_applied, |(db, tid, key, _)| { (*db, *tid, key.clone()) }); + // A node's labels live on its home core alone. A version both report + // is kept once all the same. + dedup_edges(&mut merged.node_labels, |(db, tid, node, _)| { + (*db, *tid, node.clone()) + }); + dedup_edges( + &mut merged.node_label_versions, + |(db, tid, node, ordinal, _)| (*db, *tid, node.clone(), *ordinal), + ); // Every core that holds a vShard of the collection records the cut. dedup_edges(&mut merged.edge_cuts, Clone::clone); dedup_edges(&mut merged.tenant_edge_cuts, Clone::clone); diff --git a/nodedb/src/control/server/exchange/cluster_leaf.rs b/nodedb/src/control/server/exchange/cluster_leaf.rs index 0135c2838..6cb07cefa 100644 --- a/nodedb/src/control/server/exchange/cluster_leaf.rs +++ b/nodedb/src/control/server/exchange/cluster_leaf.rs @@ -246,6 +246,7 @@ mod tests { system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, zone_msgpack: Vec::new(), + physical: false, } } @@ -257,9 +258,10 @@ mod tests { group_by_dim: -1, slice_tile_keys: Vec::new(), prefix_bits: 0, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, region_msgpack: Vec::new(), + physical: false, } } @@ -329,7 +331,7 @@ mod tests { op: nodedb_physical::physical_plan::ArrayBinaryOp::Add, attr_idx: 0, prefix_bits: 0, - system_as_of: None, + system_time: nodedb_types::SystemTimeScope::Current, valid_at_ms: None, }; let rows = vec![row(1), row(2)]; diff --git a/nodedb/src/control/server/exchange/resolve/exchange/post_process_arm.rs b/nodedb/src/control/server/exchange/resolve/exchange/post_process_arm.rs index 7ab00b1a9..117773a45 100644 --- a/nodedb/src/control/server/exchange/resolve/exchange/post_process_arm.rs +++ b/nodedb/src/control/server/exchange/resolve/exchange/post_process_arm.rs @@ -287,7 +287,12 @@ pub(super) async fn materialize_child_rows( HitShape::Vector => { let merged = outcome.merged_rows(as_aggregate)?; let merged = match &hit_cut { - Some((rls_filters, top_k)) => filter_vector_hits(&merged, rls_filters, *top_k)?, + Some((rls_filters, top_k)) => filter_vector_hits( + &merged, + rls_filters, + *top_k, + &crate::control::crs_context::crs_context_for(state), + )?, None => merged, }; // Every surrogate the flatten can ask for resolves in one batch. diff --git a/nodedb/src/control/server/graph_dispatch/bfs.rs b/nodedb/src/control/server/graph_dispatch/bfs.rs index 77104e945..2441cfb05 100644 --- a/nodedb/src/control/server/graph_dispatch/bfs.rs +++ b/nodedb/src/control/server/graph_dispatch/bfs.rs @@ -13,6 +13,8 @@ use std::collections::HashSet; +use nodedb_physical::physical_plan::GraphReadScope; + use crate::bridge::envelope::Response; use crate::control::state::SharedState; use crate::engine::graph::traversal_options::GraphTraversalOptions; @@ -40,6 +42,8 @@ pub struct CrossCoreBfsParams<'a> { pub linearizable: bool, /// The session's transaction. The walk sees its staged edge writes. pub txn_id: Option, + /// The bitemporal cut every hop of the walk reads. + pub read_scope: GraphReadScope, } /// Cross-core BFS with explicit traversal options. @@ -66,6 +70,7 @@ pub async fn cross_core_bfs_with_options( options, linearizable, txn_id, + read_scope, } = params; let cap = walk_visit_cap(shared, options); let whole = whole_hop(); @@ -85,6 +90,8 @@ pub async fn cross_core_bfs_with_options( options: &whole, linearizable, txn_id, + collection, + read_scope, }, &frontier, &mut presence_reads, @@ -115,6 +122,7 @@ pub async fn cross_core_bfs_with_options( edge_predicate: &[], with_properties: false, txn_id, + read_scope, }, ) .await?; diff --git a/nodedb/src/control/server/graph_dispatch/bsp_pagerank/coord.rs b/nodedb/src/control/server/graph_dispatch/bsp_pagerank/coord.rs index 6ad7529de..5998230bf 100644 --- a/nodedb/src/control/server/graph_dispatch/bsp_pagerank/coord.rs +++ b/nodedb/src/control/server/graph_dispatch/bsp_pagerank/coord.rs @@ -22,7 +22,7 @@ //! graph node is homed on exactly one owner node. The count phase carries //! a fresh cut marker. Every node resolves the run's read cut from it and //! answers it, and every later superstep reads at that one cut (see -//! `graph_dispatch::run_cut`). A write during the run is above the cut, so +//! `read_cut::run_marker`). A write during the run is above the cut, so //! the rank set stays the nodes that existed at the cut. //! 2. **Initial scatter.** Superstep 0 sets every node's initial rank and //! returns the contributions it scatters. It changes no rank, so it is not @@ -53,7 +53,7 @@ use crate::types::{DatabaseId, TenantId}; use super::enumerate::enumerate_shards; use super::scatter::{ScatterSuperstepParams, ShardDispatch, ShardResult, scatter_superstep}; -use crate::control::server::graph_dispatch::run_cut::{agreed_cut, new_cut_marker}; +use crate::control::read_cut::{agreed_cut, new_cut_marker}; use crate::control::server::graph_dispatch::shard_reads::{ShardReadLog, qualified}; /// Default max supersteps when the query carries no explicit `ITERATIONS`. @@ -85,6 +85,8 @@ struct Carry { /// /// Caller guarantees cluster mode (`cluster_routing.is_some()`) and /// `algorithm == PageRank`; single-node / other algorithms never enter here. +/// `scope` is the run's bitemporal cut: a historical run reads every +/// superstep at the scope's pinned ordinal and at its valid time. pub async fn run_bsp_pagerank( state: &SharedState, tenant_id: TenantId, @@ -92,6 +94,7 @@ pub async fn run_bsp_pagerank( params: AlgoParams, deadline_ms: u64, linearizable: bool, + scope: nodedb_physical::physical_plan::GraphReadScope, ) -> crate::Result { let algorithm = GraphAlgorithm::PageRank; @@ -145,7 +148,8 @@ pub async fn run_bsp_pagerank( global_dangling: 0.0, personalization_sum: 0.0, read_cut_marker, - system_as_of: None, + // A historical run reads at its statement's pinned ordinal. + system_as_of: scope.pinned_ordinal(), }) .collect(); let counts = scatter_superstep( @@ -160,6 +164,7 @@ pub async fn run_bsp_pagerank( dispatches: count_dispatches, deadline_ms, linearizable, + valid_at_ms: scope.valid_at_ms, }, ) .await?; @@ -248,6 +253,7 @@ pub async fn run_bsp_pagerank( global_n, dispatches, deadline_ms, + valid_at_ms: scope.valid_at_ms, linearizable, }, ) diff --git a/nodedb/src/control/server/graph_dispatch/bsp_pagerank/scatter.rs b/nodedb/src/control/server/graph_dispatch/bsp_pagerank/scatter.rs index 9ecb5432e..8974dc3b0 100644 --- a/nodedb/src/control/server/graph_dispatch/bsp_pagerank/scatter.rs +++ b/nodedb/src/control/server/graph_dispatch/bsp_pagerank/scatter.rs @@ -74,6 +74,8 @@ pub(super) struct ScatterSuperstepParams<'a> { pub(super) dispatches: Vec, pub(super) deadline_ms: u64, pub(super) linearizable: bool, + /// The valid-time instant every superstep reads at, or `None`. + pub(super) valid_at_ms: Option, } /// Dispatch one `BspSuperstep` to every owner node concurrently and decode each @@ -93,6 +95,7 @@ pub(super) async fn scatter_superstep( dispatches, deadline_ms, linearizable, + valid_at_ms, } = args; let shared_arc = gateway_shared(state)?; let version_set = GatewayVersionSet::from_pairs(Vec::new()); @@ -112,6 +115,7 @@ pub(super) async fn scatter_superstep( personalization_sum: d.personalization_sum, read_cut_marker: d.read_cut_marker, system_as_of: d.system_as_of, + valid_at_ms, }))); let version_set = version_set.clone(); let node_id = d.node_id; diff --git a/nodedb/src/control/server/graph_dispatch/bsp_wcc/coord.rs b/nodedb/src/control/server/graph_dispatch/bsp_wcc/coord.rs index 3a1c80607..ba56c6186 100644 --- a/nodedb/src/control/server/graph_dispatch/bsp_wcc/coord.rs +++ b/nodedb/src/control/server/graph_dispatch/bsp_wcc/coord.rs @@ -9,7 +9,7 @@ //! set. Reuses `bsp_pagerank::enumerate::enumerate_shards`. //! 2. **Contract.** Dispatch ONE `GraphOp::WccSuperstep` per owner node, with //! one fresh cut marker. Every node resolves the same read cut from it and -//! reads the graph at it (see `graph_dispatch::run_cut`). Each +//! reads the graph at it (see `read_cut::run_marker`). Each //! shard contracts its OWNED nodes into local components and returns //! `node_labels` (`(name, local_component_root_name)`) plus `boundary_edges` //! (`(owned_name, ghost_name)` for every owned→ghost out-edge). @@ -31,7 +31,7 @@ use crate::engine::graph::algo::result::AlgoResultBatch; use crate::types::{DatabaseId, TenantId}; use super::scatter::{WccRound, scatter_wcc_round}; -use crate::control::server::graph_dispatch::run_cut::{agreed_cut, new_cut_marker}; +use crate::control::read_cut::{agreed_cut, new_cut_marker}; use crate::control::server::graph_dispatch::shard_reads::{ShardReadLog, qualified}; /// Run distributed WCC and return the bare `AlgoResultBatch` payload (the exact @@ -40,6 +40,9 @@ use crate::control::server::graph_dispatch::shard_reads::{ShardReadLog, qualifie /// /// Caller guarantees cluster mode (`cluster_routing.is_some()`) and /// `algorithm == Wcc`; single-node / other algorithms never enter here. +/// +/// `scope` is the round's bitemporal cut: a historical round reads at +/// the scope's pinned ordinal and at its valid time. pub async fn run_bsp_wcc( state: &SharedState, tenant_id: TenantId, @@ -47,6 +50,7 @@ pub async fn run_bsp_wcc( params: AlgoParams, deadline_ms: u64, linearizable: bool, + scope: nodedb_physical::physical_plan::GraphReadScope, ) -> crate::Result { // ── Enumerate shards (one per distinct owner node, local + remote). ── let enumeration = enumerate_shards(state)?; @@ -66,6 +70,8 @@ pub async fn run_bsp_wcc( params: ¶ms, targets: &targets, read_cut_marker: new_cut_marker(state), + system_as_of_cap: scope.pinned_ordinal(), + valid_at_ms: scope.valid_at_ms, deadline_ms, linearizable, }, diff --git a/nodedb/src/control/server/graph_dispatch/bsp_wcc/scatter.rs b/nodedb/src/control/server/graph_dispatch/bsp_wcc/scatter.rs index 0231c040e..37fcb32ec 100644 --- a/nodedb/src/control/server/graph_dispatch/bsp_wcc/scatter.rs +++ b/nodedb/src/control/server/graph_dispatch/bsp_wcc/scatter.rs @@ -40,6 +40,11 @@ pub(super) struct WccRound<'a> { pub(super) targets: &'a [ShardTarget], /// The cut marker every node resolves the round's read cut from. pub(super) read_cut_marker: u64, + /// A historical round's pinned ordinal: every node waits for the marker + /// and reads at it unchanged. + pub(super) system_as_of_cap: Option, + /// The valid-time instant the round reads at, or `None`. + pub(super) valid_at_ms: Option, pub(super) deadline_ms: u64, pub(super) linearizable: bool, } @@ -57,6 +62,8 @@ pub(super) async fn scatter_wcc_round( params, targets, read_cut_marker, + system_as_of_cap, + valid_at_ms, deadline_ms, linearizable, } = round; @@ -72,7 +79,8 @@ pub(super) async fn scatter_wcc_round( owned_vshards: t.owned_vshards.clone(), // Every node resolves the same read cut from the marker. read_cut_marker, - system_as_of: None, + system_as_of: system_as_of_cap, + valid_at_ms, }))); let version_set = version_set.clone(); let node_id = t.node_id; diff --git a/nodedb/src/control/server/graph_dispatch/cluster_resolve.rs b/nodedb/src/control/server/graph_dispatch/cluster_resolve.rs index 47a4fe7d1..f6b3d9350 100644 --- a/nodedb/src/control/server/graph_dispatch/cluster_resolve.rs +++ b/nodedb/src/control/server/graph_dispatch/cluster_resolve.rs @@ -69,6 +69,15 @@ pub(in crate::control::server::graph_dispatch) async fn dispatch_superstep_to_no if linearizable { super::read_groups::confirm_graph_read(shared_arc, database_id, &plan).await?; } + // A historical read runs only once this node installed its cut. + crate::control::read_cut::await_read_cut( + shared_arc, + &plan, + crate::control::server::shared::session::StatementDeadline::after( + std::time::Duration::from_millis(deadline_ms), + ), + ) + .await?; let node_result = execute_plan_all_local_cores( shared_arc.as_ref(), tenant_id, diff --git a/nodedb/src/control/server/graph_dispatch/hop.rs b/nodedb/src/control/server/graph_dispatch/hop.rs index 099839ef3..d64e3a90b 100644 --- a/nodedb/src/control/server/graph_dispatch/hop.rs +++ b/nodedb/src/control/server/graph_dispatch/hop.rs @@ -64,7 +64,7 @@ use crate::control::state::SharedState; use crate::engine::graph::edge_store::Direction; use crate::engine::graph::traversal_options::GraphTraversalOptions; use crate::types::{DatabaseId, TenantId, TraceId, TxnId, VShardId}; -use nodedb_physical::physical_plan::GraphOp; +use nodedb_physical::physical_plan::{GraphOp, GraphReadScope}; use nodedb_types::filter::MetadataFilter; use super::neighbor_rows::{NeighborRow, decode_neighbor_rows}; @@ -107,6 +107,9 @@ pub(super) struct NeighborHopParams<'a> { pub with_properties: bool, /// The session's transaction. Its staged edge writes merge into the hop. pub txn_id: Option, + /// The bitemporal cut the hop reads. Every hop of a walk carries the + /// same one. + pub read_scope: GraphReadScope, } /// Execute one hop of BFS from `params.frontier`. @@ -127,6 +130,7 @@ pub(super) async fn execute_neighbor_hop( edge_predicate, with_properties, txn_id, + read_scope, } = params; // Cap this hop's handler-side allocation to the remaining budget under @@ -151,6 +155,7 @@ pub(super) async fn execute_neighbor_hop( edge_predicate, with_properties, txn_id, + read_scope, }; // Single-node mode: no routing table — every frontier node is local. @@ -287,6 +292,8 @@ struct ExpandScope<'a> { with_properties: bool, /// The session's transaction, whose staged edge writes merge in. txn_id: Option, + /// The bitemporal cut the hop reads. + read_scope: GraphReadScope, } impl ExpandScope<'_> { @@ -303,6 +310,7 @@ impl ExpandScope<'_> { rls_filters: Vec::new(), edge_predicate: self.edge_predicate.to_vec(), with_properties: self.with_properties, + scope: self.read_scope, }) } } @@ -319,6 +327,13 @@ async fn expand_local( if scope.linearizable { super::read_groups::confirm_graph_read(shared, scope.database_id, &plan).await?; } + // A historical hop reads only once this node installed its cut. + crate::control::read_cut::await_read_cut( + shared, + &plan, + crate::control::server::shared::session::StatementDeadline::of_statement(shared), + ) + .await?; let resp = crate::control::server::broadcast::broadcast_to_all_cores_txn( shared, scope.tenant_id, diff --git a/nodedb/src/control/server/graph_dispatch/keyed_read.rs b/nodedb/src/control/server/graph_dispatch/keyed_read.rs index 19430b1fc..874bddcff 100644 --- a/nodedb/src/control/server/graph_dispatch/keyed_read.rs +++ b/nodedb/src/control/server/graph_dispatch/keyed_read.rs @@ -76,6 +76,12 @@ pub async fn read_on_vshard( if linearizable { super::read_groups::confirm_graph_read(state, database_id, &plan).await?; } + crate::control::read_cut::await_read_cut( + state, + &plan, + crate::control::server::shared::session::StatementDeadline::of_statement(state), + ) + .await?; let response = crate::control::server::broadcast::broadcast_to_all_cores_txn( state, tenant_id, diff --git a/nodedb/src/control/server/graph_dispatch/match_broadcast.rs b/nodedb/src/control/server/graph_dispatch/match_broadcast.rs index 8875bef47..e32e21d60 100644 --- a/nodedb/src/control/server/graph_dispatch/match_broadcast.rs +++ b/nodedb/src/control/server/graph_dispatch/match_broadcast.rs @@ -53,6 +53,8 @@ pub struct GraphRead { /// The read observes every write committed before it began: each node /// that serves part of it confirms its groups first. pub linearizable: bool, + /// The bitemporal cut every plan of the read carries. + pub scope: nodedb_physical::physical_plan::GraphReadScope, } /// Result of a MATCH cross-core broadcast after envelope unwrapping. @@ -219,6 +221,7 @@ pub async fn broadcast_match_to_all_cores( let GraphRead { txn_id, linearizable, + .. } = read; // A linearizable read confirms the groups the plan reads first. A MATCH // walks the local CSR, so that is every group this node replicates. A @@ -226,6 +229,13 @@ pub async fn broadcast_match_to_all_cores( if linearizable { super::read_groups::confirm_graph_read(state, database_id, &plan).await?; } + // A historical MATCH reads only once this node installed its cut. + crate::control::read_cut::await_read_cut( + state, + &plan, + crate::control::server::shared::session::StatementDeadline::of_statement(state), + ) + .await?; // Shared broadcast call counter (parity with the generic gather path). crate::control::server::broadcast::broadcast_call_count_increment(); diff --git a/nodedb/src/control/server/graph_dispatch/match_scatter/round_loop.rs b/nodedb/src/control/server/graph_dispatch/match_scatter/round_loop.rs index 8f1661faf..667663d89 100644 --- a/nodedb/src/control/server/graph_dispatch/match_scatter/round_loop.rs +++ b/nodedb/src/control/server/graph_dispatch/match_scatter/round_loop.rs @@ -184,6 +184,7 @@ pub(super) async fn dispatch_continuations( partial_row, source_node: cont.start_node.clone(), source_binding: cont.start_binding.clone(), + scope: read.scope, }); push_dispatch_fut(&mut futs, &ctx, plan, remote_coords); } @@ -239,6 +240,7 @@ pub(super) async fn dispatch_resumes( let plan = PhysicalPlan::Graph(GraphOp::MatchVarLenResume { query: query_bytes.to_vec(), resume: resume_bytes, + scope: read.scope, }); push_dispatch_fut(&mut futs, &ctx, plan, remote_coords); } diff --git a/nodedb/src/control/server/graph_dispatch/match_scatter/round_zero.rs b/nodedb/src/control/server/graph_dispatch/match_scatter/round_zero.rs index 288545410..81421aa61 100644 --- a/nodedb/src/control/server/graph_dispatch/match_scatter/round_zero.rs +++ b/nodedb/src/control/server/graph_dispatch/match_scatter/round_zero.rs @@ -58,6 +58,7 @@ pub(super) async fn scatter_round_zero( let GraphRead { txn_id, linearizable, + scope, } = read; // Local cores: fan to all and unwrap each `{rows, frontier}` envelope. The // active `txn_id` is threaded onto this LOCAL leg so each core merges the @@ -71,6 +72,7 @@ pub(super) async fn scatter_round_zero( query: query_bytes.to_vec(), frontier_bitmap: None, cluster_mode: true, + scope, }); let local_fut = broadcast_match_to_all_cores( state, @@ -93,6 +95,7 @@ pub(super) async fn scatter_round_zero( query: query_bytes.to_vec(), frontier_bitmap: None, cluster_mode: true, + scope, }); let route = TaskRoute { plan, diff --git a/nodedb/src/control/server/graph_dispatch/mod.rs b/nodedb/src/control/server/graph_dispatch/mod.rs index fd3ceaf72..6fab44ccc 100644 --- a/nodedb/src/control/server/graph_dispatch/mod.rs +++ b/nodedb/src/control/server/graph_dispatch/mod.rs @@ -29,7 +29,7 @@ pub(crate) mod neighbor_rows; pub(crate) mod presence; pub mod rag_fusion; pub mod read_groups; -pub(crate) mod run_cut; +pub mod read_scope; pub(crate) mod shard_reads; pub mod shortest_path; pub(crate) mod subgraph_edges; @@ -47,6 +47,7 @@ pub use match_broadcast::{ pub use match_scatter::{MatchScatterOutcome, scatter_match}; pub use rag_fusion::serve_rag_plan; pub use read_groups::{confirm_graph_read, graph_read_groups}; +pub use read_scope::{check_walk_scope, graph_read_scope}; pub use shortest_path::{CrossCoreShortestPathParams, cross_core_shortest_path}; pub use traverse_subgraph::{CrossCoreTraverseSubgraphParams, cross_core_traverse_subgraph}; pub use walk_reads::serve_walk_plan; diff --git a/nodedb/src/control/server/graph_dispatch/presence.rs b/nodedb/src/control/server/graph_dispatch/presence.rs index dc955554a..5c2169b3a 100644 --- a/nodedb/src/control/server/graph_dispatch/presence.rs +++ b/nodedb/src/control/server/graph_dispatch/presence.rs @@ -6,9 +6,14 @@ //! a node that graph does not hold finds nothing, so `GRAPH PATH`, //! `GRAPH TRAVERSE` and the cross-core hop walk check their endpoints against //! this node set first. +//! +//! A historical walk reads a CSR of its own collection at its cut, so its +//! node set is the nodes an edge of that collection names at the cut. use std::collections::HashSet; +use nodedb_physical::physical_plan::GraphReadScope; + use crate::control::state::SharedState; use crate::engine::graph::edge_store::Direction; use crate::engine::graph::traversal_options::GraphTraversalOptions; @@ -26,6 +31,11 @@ pub(crate) struct PresenceScope<'a> { /// The session's transaction. Presence counts its staged edge puts and /// tombstones. pub txn_id: Option, + /// The walk's database-qualified collection. A historical presence + /// check reads it. + pub collection: Option<&'a str>, + /// The walk's bitemporal cut. + pub read_scope: GraphReadScope, } /// The nodes of `nodes` that exist in the graph: those with an edge of any @@ -43,7 +53,13 @@ pub(crate) async fn graph_nodes_present( scope.tenant_id, scope.database_id, NeighborHopParams { - collection: None, + // The live graph holds every collection's edges in one node + // space. A historical CSR holds the walk's collection alone. + collection: if scope.read_scope.is_live() { + None + } else { + scope.collection + }, frontier: nodes, edge_labels: &[], direction: Direction::Both, @@ -54,6 +70,7 @@ pub(crate) async fn graph_nodes_present( edge_predicate: &[], with_properties: false, txn_id: scope.txn_id, + read_scope: scope.read_scope, }, ) .await?; diff --git a/nodedb/src/control/server/graph_dispatch/rag_fusion/coord.rs b/nodedb/src/control/server/graph_dispatch/rag_fusion/coord.rs index bc1ba1349..12e181c7c 100644 --- a/nodedb/src/control/server/graph_dispatch/rag_fusion/coord.rs +++ b/nodedb/src/control/server/graph_dispatch/rag_fusion/coord.rs @@ -60,11 +60,15 @@ pub async fn serve_rag_plan( state.cluster_routing.as_ref()?; let PhysicalPlan::Graph(GraphOp::RagFusion { stage: RagStage::Local, + scope: read_scope, .. }) = plan else { return None; }; + if let Err(error) = super::super::read_scope::check_walk_scope(read_scope) { + return Some(Err(error)); + } Some( run( state, @@ -72,6 +76,7 @@ pub async fn serve_rag_plan( tenant_id, database_id, linearizable, + read_scope: *read_scope, }, plan, ) @@ -84,6 +89,8 @@ struct RagScope { tenant_id: TenantId, database_id: DatabaseId, linearizable: bool, + /// The bitemporal cut every hop of the expansion reads. + read_scope: nodedb_physical::physical_plan::GraphReadScope, } async fn run(state: &SharedState, scope: RagScope, plan: &PhysicalPlan) -> crate::Result { @@ -109,6 +116,7 @@ async fn run(state: &SharedState, scope: RagScope, plan: &PhysicalPlan) -> crate tenant_id, database_id, linearizable, + .. } = scope; let qualified = collection.as_str().to_owned(); let vshard = nodedb_types::CollectionKey::from_qualified(database_id, collection)? @@ -361,6 +369,7 @@ async fn walk_from_seeds( with_properties: false, // A RAG fusion plan carries no session transaction. txn_id: None, + read_scope: scope.read_scope, }, ) .await?; diff --git a/nodedb/src/control/server/graph_dispatch/read_groups.rs b/nodedb/src/control/server/graph_dispatch/read_groups.rs index 40fbc05f6..c21966102 100644 --- a/nodedb/src/control/server/graph_dispatch/read_groups.rs +++ b/nodedb/src/control/server/graph_dispatch/read_groups.rs @@ -174,6 +174,7 @@ mod tests { rls_filters: Vec::new(), edge_predicate: Vec::new(), with_properties: false, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } @@ -204,6 +205,7 @@ mod tests { query: Vec::new(), frontier_bitmap: None, cluster_mode: true, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }); let mut groups = graph_read_groups(&state, DatabaseId::DEFAULT, &plan).expect("read groups"); diff --git a/nodedb/src/control/server/graph_dispatch/read_scope.rs b/nodedb/src/control/server/graph_dispatch/read_scope.rs new file mode 100644 index 000000000..0b259e343 --- /dev/null +++ b/nodedb/src/control/server/graph_dispatch/read_scope.rs @@ -0,0 +1,77 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The bitemporal cut of a graph read statement. + +use nodedb_physical::physical_plan::{ALL_VERSIONS_REFUSED, GraphReadScope, GraphSystemCut}; +use nodedb_sql::temporal::TemporalScope; +use nodedb_types::SystemTimeScope; + +use crate::control::planner::sql_plan_convert::valid_time_point; +use crate::control::state::SharedState; + +use crate::control::read_cut::pin_historical_cut; + +/// The `GraphReadScope` a statement's `AS OF` clauses select. A system time +/// pins one ordinal for the whole statement ([`pin_historical_cut`]), and +/// the scope carries the cut marker every serving node waits for +/// (`read_cut::wait`). +/// +/// `AS OF SYSTEM TIME NULL` is refused: a graph walk reads one graph, and +/// every system-time version of every edge is no graph. +pub async fn graph_read_scope( + state: &SharedState, + temporal: &TemporalScope, +) -> crate::Result { + let valid_at_ms = valid_time_point(temporal.valid_time, "graph")?; + let (system, cut_marker) = match temporal.system_time { + SystemTimeScope::Current => (GraphSystemCut::Live, 0), + SystemTimeScope::AsOf(ms) => { + let cut = pin_historical_cut(state, ms).await?; + (GraphSystemCut::AtOrdinal(cut.ordinal), cut.marker) + } + // A cut the statement already pinned reads as pinned. + SystemTimeScope::Pinned { + ordinal, + cut_marker, + } => (GraphSystemCut::AtOrdinal(ordinal), cut_marker), + SystemTimeScope::AllVersions => return Err(all_versions_refused()), + }; + Ok(GraphReadScope { + system, + valid_at_ms, + cut_marker, + }) +} + +/// Refuse a plan scope a graph read cannot run at. +pub fn check_walk_scope(scope: &GraphReadScope) -> crate::Result<()> { + match scope.system { + GraphSystemCut::AllVersions => Err(all_versions_refused()), + GraphSystemCut::Live | GraphSystemCut::AtOrdinal(_) => Ok(()), + } +} + +fn all_versions_refused() -> crate::Error { + crate::Error::BadRequest { + detail: ALL_VERSIONS_REFUSED.into(), + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn all_versions_is_refused_on_a_walk() { + let scope = GraphReadScope { + system: GraphSystemCut::AllVersions, + valid_at_ms: None, + cut_marker: 0, + }; + assert!(matches!( + check_walk_scope(&scope), + Err(crate::Error::BadRequest { .. }) + )); + assert!(check_walk_scope(&GraphReadScope::default()).is_ok()); + } +} diff --git a/nodedb/src/control/server/graph_dispatch/shortest_path.rs b/nodedb/src/control/server/graph_dispatch/shortest_path.rs index 16b89fe5a..0944a00f9 100644 --- a/nodedb/src/control/server/graph_dispatch/shortest_path.rs +++ b/nodedb/src/control/server/graph_dispatch/shortest_path.rs @@ -36,6 +36,7 @@ use super::hop::{NeighborHopParams, execute_neighbor_hop}; use super::neighbor_rows::NeighborRow; use super::presence::{PresenceScope, graph_nodes_present}; use super::shard_reads::ShardReadLog; +use nodedb_physical::physical_plan::GraphReadScope; use nodedb_types::filter::MetadataFilter; /// Parameters for [`cross_core_shortest_path`]. @@ -63,6 +64,8 @@ pub struct CrossCoreShortestPathParams { pub edge_predicate: Vec, /// The session's transaction. The path sees its staged edge writes. pub txn_id: Option, + /// The bitemporal cut every hop of the search reads. + pub read_scope: GraphReadScope, } /// Node → the node it was reached from. An endpoint maps to itself. @@ -90,6 +93,7 @@ pub async fn cross_core_shortest_path( linearizable, edge_predicate, txn_id, + read_scope, } = params; let whole = whole_hop(); // One core finds no path when either endpoint is absent from its graph, @@ -104,6 +108,8 @@ pub async fn cross_core_shortest_path( options: &whole, linearizable, txn_id, + collection: collection.as_deref(), + read_scope, }, &[src.clone(), dst.clone()], &mut presence_reads, @@ -153,6 +159,7 @@ pub async fn cross_core_shortest_path( edge_predicate: &edge_predicate, with_properties: false, txn_id, + read_scope, }, ) .await?; diff --git a/nodedb/src/control/server/graph_dispatch/traverse_subgraph.rs b/nodedb/src/control/server/graph_dispatch/traverse_subgraph.rs index 56ed05afe..e05b7ea3c 100644 --- a/nodedb/src/control/server/graph_dispatch/traverse_subgraph.rs +++ b/nodedb/src/control/server/graph_dispatch/traverse_subgraph.rs @@ -14,6 +14,7 @@ use std::collections::HashSet; +use nodedb_physical::physical_plan::GraphReadScope; use nodedb_types::filter::MetadataFilter; use sonic_rs; @@ -38,8 +39,8 @@ struct WireNode<'a> { depth: u8, } -/// Wire-shape JSON edge entry. `properties` is the edge's current property -/// object, `{}` for an edge without properties. +/// Wire-shape JSON edge entry. `properties` is the edge's property object +/// at the walk's cut, `{}` for an edge without properties. #[derive(serde::Serialize)] struct WireEdge<'a> { from: &'a str, @@ -79,6 +80,8 @@ pub struct CrossCoreTraverseSubgraphParams<'a> { /// The session's transaction. The walk, its predicate and the returned /// properties see its staged edge writes. pub txn_id: Option, + /// The bitemporal cut every hop of the walk reads. + pub read_scope: GraphReadScope, } /// BFS that returns a `{nodes,edges}` JSON subgraph for `GRAPH TRAVERSE`. @@ -168,6 +171,7 @@ pub(crate) async fn walk_subgraph( edge_predicate, with_properties, txn_id, + read_scope, } = params; // Per-node depth: the start node is at depth 0. Each later node carries // the hop index that first surfaced it. @@ -189,6 +193,7 @@ pub(crate) async fn walk_subgraph( edge_predicate, with_properties, txn_id, + read_scope, }; // One core's subgraph is empty for a start its graph does not hold, as is @@ -205,6 +210,8 @@ pub(crate) async fn walk_subgraph( options: &whole, linearizable, txn_id, + collection: collection.as_deref(), + read_scope, }, std::slice::from_ref(&start), &mut presence_reads, @@ -278,6 +285,7 @@ struct WalkHop<'a> { edge_predicate: &'a [MetadataFilter], with_properties: bool, txn_id: Option, + read_scope: GraphReadScope, } impl WalkHop<'_> { @@ -309,6 +317,7 @@ impl WalkHop<'_> { edge_predicate: self.edge_predicate, with_properties: self.with_properties, txn_id: self.txn_id, + read_scope: self.read_scope, }, ) .await?; diff --git a/nodedb/src/control/server/graph_dispatch/walk_reads.rs b/nodedb/src/control/server/graph_dispatch/walk_reads.rs index 0c76b19de..dec473ebb 100644 --- a/nodedb/src/control/server/graph_dispatch/walk_reads.rs +++ b/nodedb/src/control/server/graph_dispatch/walk_reads.rs @@ -15,7 +15,7 @@ //! - `Path`: a msgpack array `[src, …, dst]`, or a `NotFound` refusal when //! `dst` is unreachable. -use nodedb_physical::physical_plan::GraphOp; +use nodedb_physical::physical_plan::{GraphOp, GraphReadScope}; use crate::bridge::envelope::{Payload, PhysicalPlan, Response}; use crate::control::server::dispatch_utils::{not_found_response, ok_payload_response}; @@ -24,6 +24,7 @@ use crate::engine::graph::edge_store::Direction; use crate::types::{DatabaseId, TenantId, TxnId}; use super::bfs::{CrossCoreBfsParams, cross_core_bfs_with_options}; +use super::read_scope::check_walk_scope; use super::shortest_path::{CrossCoreShortestPathParams, cross_core_shortest_path}; use super::traverse_subgraph::{CrossCoreTraverseSubgraphParams, SubgraphWalk, walk_subgraph}; @@ -37,8 +38,9 @@ struct SubgraphEdgeWire<'a> { } /// Run `plan` through the walk coordinators when it is a `Hop`, `Path` or -/// `Subgraph`. Returns `None` for every other plan. The walk sees the staged -/// edge writes of `txn_id`, the session's transaction. +/// `Subgraph`. Returns `None` for every other plan. A live walk sees the +/// staged edge writes of `txn_id`, the session's transaction. Every hop +/// carries the plan's bitemporal scope. pub async fn serve_walk_plan( state: &SharedState, tenant_id: TenantId, @@ -58,48 +60,58 @@ pub async fn serve_walk_plan( direction, depth, options, + scope, .. - } => cross_core_bfs_with_options( - state, - CrossCoreBfsParams { - tenant_id, - database_id, - collection: collection.as_ref().map(|c| c.as_str()), - start_nodes: start_nodes.clone(), - edge_labels, - direction: *direction, - max_depth: *depth, - options, - linearizable, - txn_id, - }, - ) - .await - .and_then(|response| rewrap_as_msgpack(&response.payload)), - GraphOp::Subgraph { - collection, - start_nodes, - edge_labels, - depth, - options, - .. - } => { - subgraph( + } => match check_walk_scope(scope) { + Err(error) => Err(error), + Ok(()) => cross_core_bfs_with_options( state, - tenant_id, - database_id, - SubgraphRequest { - collection: collection.as_ref().map(|c| c.as_str().to_owned()), - start_nodes, + CrossCoreBfsParams { + tenant_id, + database_id, + collection: collection.as_ref().map(|c| c.as_str()), + start_nodes: start_nodes.clone(), edge_labels, - depth: *depth, + direction: *direction, + max_depth: *depth, options, linearizable, txn_id, + read_scope: *scope, }, ) .await - } + .and_then(|response| rewrap_as_msgpack(&response.payload)), + }, + GraphOp::Subgraph { + collection, + start_nodes, + edge_labels, + depth, + options, + scope, + .. + } => match check_walk_scope(scope) { + Err(error) => Err(error), + Ok(()) => { + subgraph( + state, + tenant_id, + database_id, + SubgraphRequest { + collection: collection.as_ref().map(|c| c.as_str().to_owned()), + start_nodes, + edge_labels, + depth: *depth, + options, + linearizable, + txn_id, + read_scope: *scope, + }, + ) + .await + } + }, GraphOp::Path { collection, src, @@ -107,26 +119,52 @@ pub async fn serve_walk_plan( edge_labels, max_depth, options, + scope, .. - } => { - path( - state, - tenant_id, - database_id, - PathRequest { - collection: collection.as_ref(), - src, - dst, - edge_labels, - max_depth: *max_depth, - options, - linearizable, - txn_id, - }, - ) - .await - } - _ => return None, + } => match check_walk_scope(scope) { + Err(error) => Err(error), + Ok(()) => { + path( + state, + tenant_id, + database_id, + PathRequest { + collection: collection.as_ref(), + src, + dst, + edge_labels, + max_depth: *max_depth, + options, + linearizable, + txn_id, + read_scope: *scope, + }, + ) + .await + } + }, + GraphOp::EdgePut { .. } + | GraphOp::EdgePutBatch { .. } + | GraphOp::EdgeDelete { .. } + | GraphOp::ResolveEdgeDelete(_) + | GraphOp::EdgeDeleteBatch { .. } + | GraphOp::Neighbors { .. } + | GraphOp::NeighborsMulti { .. } + | GraphOp::RagFusion { .. } + | GraphOp::Algo { .. } + | GraphOp::Match { .. } + | GraphOp::MatchContinuation { .. } + | GraphOp::MatchVarLenResume { .. } + | GraphOp::BspSuperstep(_) + | GraphOp::WccSuperstep(_) + | GraphOp::SetNodeLabels { .. } + | GraphOp::RemoveNodeLabels { .. } + | GraphOp::TemporalNeighbors { .. } + | GraphOp::Stats { .. } + | GraphOp::NodeEdgeGuard { .. } + | GraphOp::NodePresenceGuard { .. } + | GraphOp::TruncateEdges { .. } + | GraphOp::NodePresenceRead { .. } => return None, }) } @@ -139,6 +177,7 @@ struct SubgraphRequest<'a> { options: &'a crate::engine::graph::traversal_options::GraphTraversalOptions, linearizable: bool, txn_id: Option, + read_scope: GraphReadScope, } async fn subgraph( @@ -171,6 +210,7 @@ async fn subgraph( edge_predicate: &[], with_properties: false, txn_id: request.txn_id, + read_scope: request.read_scope, }, ) .await?; @@ -198,6 +238,7 @@ struct PathRequest<'a> { options: &'a crate::engine::graph::traversal_options::GraphTraversalOptions, linearizable: bool, txn_id: Option, + read_scope: GraphReadScope, } async fn path( @@ -222,6 +263,7 @@ async fn path( linearizable: request.linearizable, edge_predicate: Vec::new(), txn_id: request.txn_id, + read_scope: request.read_scope, }, ) .await?; diff --git a/nodedb/src/control/server/graph_dispatch/whole_graph.rs b/nodedb/src/control/server/graph_dispatch/whole_graph.rs index 0052aad94..157d7632f 100644 --- a/nodedb/src/control/server/graph_dispatch/whole_graph.rs +++ b/nodedb/src/control/server/graph_dispatch/whole_graph.rs @@ -25,8 +25,10 @@ //! are sorted, so the CSR, and the answer, match a single node's exactly. //! - On a single node every algorithm gathers, so an algorithm sees the edges //! of every core, not one core's share. -//! - A historical run (`AS OF SYSTEM TIME`) gathers for every algorithm: each -//! owner exports the edges live at that time. +//! - A historical run (`AS OF SYSTEM TIME` / `AS OF VALID TIME`) runs the +//! same way at its pinned cut: PageRank and WCC as BSP supersteps that +//! every owner reads at that cut, every other algorithm over the edges each +//! owner exports at it. //! - A gathered run needs the whole graph in one CSR on one core, as a single //! node's run does. It is bounded by `GraphTuning::max_gathered_algo_edges`: //! past the cap it is refused with the edge count, never answered from part @@ -43,7 +45,7 @@ use crate::control::server::shared::session::StatementDeadline; use crate::control::state::SharedState; use crate::types::{DatabaseId, TenantId, TraceId, VShardId}; use nodedb_graph::{AlgoParams, GraphAlgorithm}; -use nodedb_physical::physical_plan::{AlgoEdge, AlgoStage, GraphOp}; +use nodedb_physical::physical_plan::{AlgoEdge, AlgoStage, GraphOp, GraphReadScope}; use super::bsp_pagerank::enumerate::enumerate_shards; use super::cluster_resolve::{DispatchSuperstepParams, dispatch_superstep_to_node, gateway_shared}; @@ -112,21 +114,22 @@ pub async fn scatter_to_graph_owners( } /// Run `algorithm` over the whole graph of `params.collection` and return its -/// `AlgoResultBatch` payload. `system_as_of_ms` runs it over the edges live at -/// that system time; `None` runs it over the current edges. +/// `AlgoResultBatch` payload, read at `scope`: the current edges, or the +/// edges at the statement's pinned bitemporal cut. pub async fn run_graph_algo( state: &SharedState, tenant_id: TenantId, database_id: DatabaseId, algorithm: GraphAlgorithm, params: AlgoParams, - system_as_of_ms: Option, + scope: GraphReadScope, linearizable: bool, ) -> crate::Result { + super::read_scope::check_walk_scope(&scope)?; let deadline_ms = StatementDeadline::of_statement(state).hop_budget_ms(); - // A current-state BSP run pins its own read cut from a Calvin cut marker - // (`run_cut`). A historical run gathers the edges live at its system time. - if state.cluster_routing.is_some() && system_as_of_ms.is_none() { + // A BSP run pins its read cut from a Calvin cut marker (`read_cut::run_marker`), + // capped at a historical run's own ordinal. + if state.cluster_routing.is_some() { match algorithm { GraphAlgorithm::PageRank => { return super::run_bsp_pagerank( @@ -136,6 +139,7 @@ pub async fn run_graph_algo( params, deadline_ms, linearizable, + scope, ) .await; } @@ -147,10 +151,21 @@ pub async fn run_graph_algo( params, deadline_ms, linearizable, + scope, ) .await; } - _ => {} + GraphAlgorithm::LabelPropagation + | GraphAlgorithm::Lcc + | GraphAlgorithm::Sssp + | GraphAlgorithm::Betweenness + | GraphAlgorithm::Closeness + | GraphAlgorithm::Harmonic + | GraphAlgorithm::Degree + | GraphAlgorithm::Louvain + | GraphAlgorithm::Triangles + | GraphAlgorithm::Diameter + | GraphAlgorithm::KCore => {} } } let edges = gather_algo_edges( @@ -159,7 +174,7 @@ pub async fn run_graph_algo( database_id, algorithm, ¶ms, - system_as_of_ms, + scope, linearizable, ) .await?; @@ -167,6 +182,8 @@ pub async fn run_graph_algo( algorithm, params, stage: AlgoStage::Gathered { edges }, + // The gathered edges already are the graph at the cut. + scope, }); let response = crate::control::server::dispatch_utils::dispatch_to_data_plane( state, @@ -190,13 +207,14 @@ async fn gather_algo_edges( database_id: DatabaseId, algorithm: GraphAlgorithm, params: &AlgoParams, - system_as_of_ms: Option, + scope: GraphReadScope, linearizable: bool, ) -> crate::Result> { let plan = PhysicalPlan::Graph(GraphOp::Algo { algorithm, params: params.clone(), - stage: AlgoStage::ExportEdges { system_as_of_ms }, + stage: AlgoStage::ExportEdges, + scope, }); let payloads = scatter_to_graph_owners( state, diff --git a/nodedb/src/control/server/http/routes/crdt.rs b/nodedb/src/control/server/http/routes/crdt.rs index 301f13bf8..fb916a5f7 100644 --- a/nodedb/src/control/server/http/routes/crdt.rs +++ b/nodedb/src/control/server/http/routes/crdt.rs @@ -151,6 +151,7 @@ pub async fn crdt_apply( // collection)`. let qualified_collection = crate::control::planner::sql_plan_convert::convert::db_qualified(database_id, &collection); + let crs_set = crate::control::crs_context::crs_set_for(&state.shared); let policy = crate::control::crdt_post_image_policy::ExternalCrdtPostImagePolicy::from_identity( identity.tenant_id, @@ -158,10 +159,13 @@ pub async fn crdt_apply( &qualified_collection, &identity, "http".into(), - &state.shared.rls, - &audit, + crate::control::crdt_post_image_policy::PolicyServices { + rls: &state.shared.rls, + audit: &audit, + crs_set: &crs_set, + }, ) - .with_type_guards_from(state.shared.credentials.catalog(), database_id); + .with_type_guards_from(&state.shared, database_id); let result = crate::control::crdt_admission::dispatch_authorized_crdt_apply_admitted( &state.shared, crate::control::crdt_admission::AuthorizedCrdtApplyAdmissionRequest { diff --git a/nodedb/src/control/server/http/routes/query_stream.rs b/nodedb/src/control/server/http/routes/query_stream.rs index 958febb1a..da2f2942a 100644 --- a/nodedb/src/control/server/http/routes/query_stream.rs +++ b/nodedb/src/control/server/http/routes/query_stream.rs @@ -204,6 +204,7 @@ pub(super) fn ndjson_body_stream( projection.as_ref(), redaction.as_ref().map(|r| r.ctx(&state.redaction)), None, + &crate::control::crs_context::crs_set_for(&state), ) { Ok(s) => s, Err(e) => { diff --git a/nodedb/src/control/server/native/dispatch/ctx.rs b/nodedb/src/control/server/native/dispatch/ctx.rs index 04aadc7cf..3e78260d8 100644 --- a/nodedb/src/control/server/native/dispatch/ctx.rs +++ b/nodedb/src/control/server/native/dispatch/ctx.rs @@ -99,7 +99,6 @@ impl DispatchCtx<'_> { | GraphOp::SetNodeLabels { .. } | GraphOp::RemoveNodeLabels { .. } | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodePresenceGuard { .. } | GraphOp::NodePresenceRead { .. } diff --git a/nodedb/src/control/server/native/dispatch/graph_match.rs b/nodedb/src/control/server/native/dispatch/graph_match.rs index f7dda5697..70808562a 100644 --- a/nodedb/src/control/server/native/dispatch/graph_match.rs +++ b/nodedb/src/control/server/native/dispatch/graph_match.rs @@ -173,7 +173,7 @@ async fn match_across_shards( txn_id: Option, ) -> NativeResponse { let crate::bridge::envelope::PhysicalPlan::Graph( - nodedb_physical::physical_plan::GraphOp::Match { query, .. }, + nodedb_physical::physical_plan::GraphOp::Match { query, scope, .. }, ) = plan else { return error_to_native( @@ -205,6 +205,7 @@ async fn match_across_shards( txn_id, // The native protocol has no read-consistency setting. linearizable: true, + scope: *scope, }, ) .await; diff --git a/nodedb/src/control/server/native/dispatch/graph_owner.rs b/nodedb/src/control/server/native/dispatch/graph_owner.rs index e20509a74..587bb8941 100644 --- a/nodedb/src/control/server/native/dispatch/graph_owner.rs +++ b/nodedb/src/control/server/native/dispatch/graph_owner.rs @@ -29,12 +29,12 @@ use super::{DispatchCtx, error_to_native}; /// A graph read this module serves. enum OwnerRead { - /// An algorithm, over the edges live at `Option` system time when set. - /// The parameters are boxed: they dwarf the other variants. + /// An algorithm, over the edges at the plan's bitemporal cut. The + /// parameters are boxed: they dwarf the other variants. Algo( nodedb_graph::GraphAlgorithm, Box, - Option, + nodedb_physical::physical_plan::GraphReadScope, ), Neighbors(String), /// A `Hop`, `Path` or `Subgraph` in a cluster. @@ -51,41 +51,45 @@ pub(super) async fn dispatch_graph_owner_read( plan: &PhysicalPlan, vshard_id: VShardId, ) -> Option { - let read = match plan { - PhysicalPlan::Graph(GraphOp::Algo { - algorithm, params, .. - }) => OwnerRead::Algo(*algorithm, Box::new(params.clone()), None), - PhysicalPlan::Graph(GraphOp::TemporalAlgorithm { + let PhysicalPlan::Graph(op) = plan else { + return None; + }; + let clustered = ctx.state.cluster_routing.is_some(); + let read = match op { + GraphOp::Algo { algorithm, params, - system_time, - }) => match system_time { - nodedb_types::SystemTimeScope::Current => { - OwnerRead::Algo(*algorithm, Box::new(params.clone()), None) - } - nodedb_types::SystemTimeScope::AsOf(ms) => { - OwnerRead::Algo(*algorithm, Box::new(params.clone()), Some(*ms)) - } - nodedb_types::SystemTimeScope::AllVersions => { - return Some(error_to_native( - seq, - &crate::Error::BadRequest { - detail: "a graph algorithm runs over one system time; all-versions is not supported" - .into(), - }, - )); - } - }, - PhysicalPlan::Graph(GraphOp::Neighbors { node_id, .. }) => { - OwnerRead::Neighbors(node_id.clone()) - } - PhysicalPlan::Graph( - GraphOp::Hop { .. } | GraphOp::Path { .. } | GraphOp::Subgraph { .. }, - ) if ctx.state.cluster_routing.is_some() => OwnerRead::Walk, - PhysicalPlan::Graph(GraphOp::RagFusion { .. }) if ctx.state.cluster_routing.is_some() => { - OwnerRead::Rag + scope, + .. + } => OwnerRead::Algo(*algorithm, Box::new(params.clone()), *scope), + GraphOp::Neighbors { node_id, .. } => OwnerRead::Neighbors(node_id.clone()), + GraphOp::Hop { .. } | GraphOp::Path { .. } | GraphOp::Subgraph { .. } if clustered => { + OwnerRead::Walk } - _ => return None, + GraphOp::RagFusion { .. } if clustered => OwnerRead::Rag, + GraphOp::Hop { .. } + | GraphOp::Path { .. } + | GraphOp::Subgraph { .. } + | GraphOp::RagFusion { .. } + | GraphOp::EdgePut { .. } + | GraphOp::EdgePutBatch { .. } + | GraphOp::EdgeDelete { .. } + | GraphOp::ResolveEdgeDelete(_) + | GraphOp::EdgeDeleteBatch { .. } + | GraphOp::NeighborsMulti { .. } + | GraphOp::Match { .. } + | GraphOp::MatchContinuation { .. } + | GraphOp::MatchVarLenResume { .. } + | GraphOp::BspSuperstep(_) + | GraphOp::WccSuperstep(_) + | GraphOp::SetNodeLabels { .. } + | GraphOp::RemoveNodeLabels { .. } + | GraphOp::TemporalNeighbors { .. } + | GraphOp::Stats { .. } + | GraphOp::NodeEdgeGuard { .. } + | GraphOp::NodePresenceGuard { .. } + | GraphOp::TruncateEdges { .. } + | GraphOp::NodePresenceRead { .. } => return None, }; let tenant_id = ctx.tenant_id(); let database_id = ctx.database_id(); @@ -103,14 +107,14 @@ pub(super) async fn dispatch_graph_owner_read( } let _request = ctx.state.tenant_request_guard(tenant_id); let served = match read { - OwnerRead::Algo(algorithm, params, system_as_of_ms) => { + OwnerRead::Algo(algorithm, params, scope) => { crate::control::server::graph_dispatch::run_graph_algo( ctx.state, tenant_id, database_id, algorithm, *params, - system_as_of_ms, + scope, true, ) .await diff --git a/nodedb/src/control/server/native/dispatch/plan_builder/columnar.rs b/nodedb/src/control/server/native/dispatch/plan_builder/columnar.rs index 68a489495..4fba583c7 100644 --- a/nodedb/src/control/server/native/dispatch/plan_builder/columnar.rs +++ b/nodedb/src/control/server/native/dispatch/plan_builder/columnar.rs @@ -72,6 +72,7 @@ pub(crate) async fn build_insert( schema_bytes: Vec::new(), provenance: None, wal_lsn: None, + system_from: None, rls_write_check: nodedb_types::RlsWriteCheck::pending_injection(), // The native insert API takes rows, not a projection; a caller wanting // rows back issues SQL, where `inject_returning_spec` fills this slot. diff --git a/nodedb/src/control/server/native/dispatch/plan_builder/dispatch.rs b/nodedb/src/control/server/native/dispatch/plan_builder/dispatch.rs index a2625fd37..3a1c440c4 100644 --- a/nodedb/src/control/server/native/dispatch/plan_builder/dispatch.rs +++ b/nodedb/src/control/server/native/dispatch/plan_builder/dispatch.rs @@ -79,7 +79,7 @@ pub(crate) async fn build_plan( OpCode::ColumnarInsert => columnar::build_insert(ctx, fields, collection).await, // Graph DDL. OpCode::GraphAlgo => graph::build_algo(fields, collection).await, - OpCode::GraphMatch => graph::build_match(fields, collection).await, + OpCode::GraphMatch => graph::build_match(ctx, fields).await, // Document DDL. OpCode::DocumentTruncate => document_bulk::build_truncate(ctx, collection).await, OpCode::DocumentEstimateCount => { diff --git a/nodedb/src/control/server/native/dispatch/plan_builder/document_bulk.rs b/nodedb/src/control/server/native/dispatch/plan_builder/document_bulk.rs index ec0fae7f1..59e977550 100644 --- a/nodedb/src/control/server/native/dispatch/plan_builder/document_bulk.rs +++ b/nodedb/src/control/server/native/dispatch/plan_builder/document_bulk.rs @@ -160,7 +160,7 @@ pub(crate) async fn build_insert_select( source: RowSource::DocumentPages(DocumentPageSource { collection: QualifiedCollection::new(ctx.database_id(), &source), filters: fields.filters.clone().unwrap_or_default(), - system_as_of_ms: None, + system_time: nodedb_types::SystemTimeScope::Current, offset: 0, limit, column_map: Vec::new(), diff --git a/nodedb/src/control/server/native/dispatch/plan_builder/graph.rs b/nodedb/src/control/server/native/dispatch/plan_builder/graph.rs index f8c2edd79..059722ba4 100644 --- a/nodedb/src/control/server/native/dispatch/plan_builder/graph.rs +++ b/nodedb/src/control/server/native/dispatch/plan_builder/graph.rs @@ -57,6 +57,9 @@ pub(crate) async fn build_rag_fusion( bm25_query: None, bm25_field: None, stage: nodedb_physical::physical_plan::RagStage::Local, + // The native graph ops carry no temporal field: they read the + // current graph. `AS OF` reads go through the SQL surface. + scope: nodedb_physical::physical_plan::GraphReadScope::default(), })) } @@ -99,6 +102,9 @@ pub(crate) async fn build_hop( options: Default::default(), rls_filters: Vec::new(), frontier_bitmap: None, + // The native graph ops carry no temporal field: they read the + // current graph. `AS OF` reads go through the SQL surface. + scope: nodedb_physical::physical_plan::GraphReadScope::default(), })) } @@ -121,6 +127,9 @@ pub(crate) async fn build_neighbors( edge_labels: fields.edge_labels.clone().unwrap_or_default(), direction: parse_direction(fields.direction.as_deref())?, rls_filters: Vec::new(), + // The native graph ops carry no temporal field: they read the + // current graph. `AS OF` reads go through the SQL surface. + scope: nodedb_physical::physical_plan::GraphReadScope::default(), })) } @@ -152,6 +161,9 @@ pub(crate) async fn build_path( options: Default::default(), rls_filters: Vec::new(), frontier_bitmap: None, + // The native graph ops carry no temporal field: they read the + // current graph. `AS OF` reads go through the SQL surface. + scope: nodedb_physical::physical_plan::GraphReadScope::default(), })) } @@ -175,6 +187,9 @@ pub(crate) async fn build_subgraph( edge_labels: fields.edge_labels.clone().unwrap_or_default(), options: Default::default(), rls_filters: Vec::new(), + // The native graph ops carry no temporal field: they read the + // current graph. `AS OF` reads go through the SQL surface. + scope: nodedb_physical::physical_plan::GraphReadScope::default(), })) } @@ -218,6 +233,9 @@ pub(crate) async fn build_edge_put( properties, src_surrogate, dst_surrogate, + // A native edge put takes the write's own valid time. + valid_from_ms: None, + valid_until_ms: None, })) } @@ -339,6 +357,9 @@ pub(crate) async fn build_algo( algorithm, params, stage: nodedb_physical::physical_plan::AlgoStage::Local, + // The native graph ops carry no temporal field: they read the + // current graph. `AS OF` reads go through the SQL surface. + scope: nodedb_physical::physical_plan::GraphReadScope::default(), })) } @@ -374,9 +395,11 @@ fn parse_algo_personalization( Ok(Some(map)) } +/// A native MATCH: the query text, its `AS OF` clauses split off and its +/// pattern compiled, as the `MatchQuery` the Data Plane executes. pub(crate) async fn build_match( + ctx: &DispatchCtx<'_>, fields: &TextFields, - _collection: &str, ) -> crate::Result { let query_str = fields .match_query @@ -385,18 +408,34 @@ pub(crate) async fn build_match( .ok_or_else(|| crate::Error::BadRequest { detail: "missing 'match_query'".to_string(), })?; - - // Serialize the MATCH query string as MessagePack for the Data Plane. - let query = zerompk::to_msgpack_vec(query_str).map_err(|e| crate::Error::Serialization { + let (body, temporal) = match nodedb_sql::ddl_ast::graph_parse::try_parse(query_str) { + Some(Ok(nodedb_sql::ddl_ast::NodedbStatement::Graph( + nodedb_sql::ddl_ast::GraphStmt::MatchQuery { body, temporal }, + ))) => (body, temporal), + Some(Err(e)) => { + return Err(crate::Error::BadRequest { + detail: format!("MATCH parse error: {e}"), + }); + } + Some(Ok(_)) | None => { + return Err(crate::Error::BadRequest { + detail: "'match_query' must be a MATCH statement".to_string(), + }); + } + }; + let compiled = crate::engine::graph::pattern::compiler::parse(&body)?; + let query = zerompk::to_msgpack_vec(&compiled).map_err(|e| crate::Error::Serialization { format: "msgpack".into(), detail: format!("match query serialization: {e}"), })?; + let scope = + crate::control::server::graph_dispatch::graph_read_scope(ctx.state, &temporal).await?; Ok(PhysicalPlan::Graph(GraphOp::Match { query, frontier_bitmap: None, - // B1: native MATCH stays single-node; B2 wires cluster orchestration. cluster_mode: false, + scope, })) } diff --git a/nodedb/src/control/server/native/dispatch/plan_builder/spatial.rs b/nodedb/src/control/server/native/dispatch/plan_builder/spatial.rs index 062c3592a..7b8713c10 100644 --- a/nodedb/src/control/server/native/dispatch/plan_builder/spatial.rs +++ b/nodedb/src/control/server/native/dispatch/plan_builder/spatial.rs @@ -27,16 +27,18 @@ pub(crate) async fn build_scan( detail: format!("invalid query geometry: {e}"), })?; - let issues = nodedb_spatial::validate::validate_geometry(&geometry.geometry); + let issues = nodedb_spatial::validate::validate_geometry(geometry.geometry()); if !issues.is_empty() { + let reasons: Vec = issues.iter().map(ToString::to_string).collect(); return Err(crate::Error::BadRequest { - detail: format!("invalid query geometry: {}", issues.join("; ")), + detail: format!("invalid query geometry: {}", reasons.join("; ")), }); } let predicate_str = fields.spatial_predicate.as_deref().unwrap_or("dwithin"); let predicate = match predicate_str.to_lowercase().as_str() { "dwithin" => SpatialPredicate::DWithin, + "3ddwithin" => SpatialPredicate::DWithin3D, "contains" => SpatialPredicate::Contains, "intersects" => SpatialPredicate::Intersects, "within" => SpatialPredicate::Within, diff --git a/nodedb/src/control/server/native/dispatch/raw_dispatch.rs b/nodedb/src/control/server/native/dispatch/raw_dispatch.rs index 7472944c3..f8236f005 100644 --- a/nodedb/src/control/server/native/dispatch/raw_dispatch.rs +++ b/nodedb/src/control/server/native/dispatch/raw_dispatch.rs @@ -150,6 +150,7 @@ async fn dispatch_external_crdt_apply( // before this dispatch runs), so no re-qualification happens — doing so // will double-prefix the name. let qualified_collection = collection.as_str(); + let crs_set = crate::control::crs_context::crs_set_for(ctx.state); let policy = crate::control::crdt_post_image_policy::ExternalCrdtPostImagePolicy::from_identity( tenant_id, @@ -157,10 +158,13 @@ async fn dispatch_external_crdt_apply( qualified_collection, ctx.identity, "native".into(), - &ctx.state.rls, - &audit, + crate::control::crdt_post_image_policy::PolicyServices { + rls: &ctx.state.rls, + audit: &audit, + crs_set: &crs_set, + }, ) - .with_type_guards_from(ctx.state.credentials.catalog(), ctx.database_id()); + .with_type_guards_from(ctx.state, ctx.database_id()); let outcome = crate::control::crdt_admission::dispatch_authorized_crdt_apply_admitted_outcome( ctx.state, crate::control::crdt_admission::AuthorizedCrdtApplyAdmissionRequest { diff --git a/nodedb/src/control/server/native/session/session_stream.rs b/nodedb/src/control/server/native/session/session_stream.rs index d3844f4ea..79266ddf8 100644 --- a/nodedb/src/control/server/native/session/session_stream.rs +++ b/nodedb/src/control/server/native/session/session_stream.rs @@ -40,13 +40,14 @@ fn decode_batch_to_columns_rows( payload: &[u8], projection: Option<&OutputSchema>, redaction: Option>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> crate::Result<(Vec, Vec>)> { match decode_payload_value(payload) { Ok(decoded) => { // A streamed plan never carries Control-Plane computed columns: // `try_open_sql_stream` declines those, so no session access // is needed per batch. - let shaped = shape_decoded_rows(decoded, projection, redaction, None)?; + let shaped = shape_decoded_rows(decoded, projection, redaction, None, crs_set)?; Ok(to_native_columns_rows(&shaped)) } Err(_) => Ok(( @@ -120,6 +121,7 @@ pub(super) async fn emit_sql_stream( &batch.payload, projection.as_ref(), redaction.as_ref().map(|r| r.ctx(&state.redaction)), + &crate::control::crs_context::crs_set_for(state), )?; if batch_rows.is_empty() { continue; diff --git a/nodedb/src/control/server/pgwire/catalog/mod.rs b/nodedb/src/control/server/pgwire/catalog/mod.rs index 01d9ffbc8..3091aa48d 100644 --- a/nodedb/src/control/server/pgwire/catalog/mod.rs +++ b/nodedb/src/control/server/pgwire/catalog/mod.rs @@ -9,6 +9,7 @@ pub mod l2_cleanup_queue; pub mod oid; pub mod provider; pub mod schema; +pub mod spatial_ref_sys; pub mod tables; pub use provider::{CatalogProvider, catalog_rows}; diff --git a/nodedb/src/control/server/pgwire/catalog/provider.rs b/nodedb/src/control/server/pgwire/catalog/provider.rs index c31927d64..e89433da8 100644 --- a/nodedb/src/control/server/pgwire/catalog/provider.rs +++ b/nodedb/src/control/server/pgwire/catalog/provider.rs @@ -11,7 +11,7 @@ use crate::control::security::identity::AuthenticatedIdentity; use crate::control::state::SharedState; use super::schema::{catalog_collection_info, known_table}; -use super::{audit_log, dropped_collections, l2_cleanup_queue, tables}; +use super::{audit_log, dropped_collections, l2_cleanup_queue, spatial_ref_sys, tables}; /// Produce the rows of a catalog relation, identity-scoped, per request. /// @@ -47,6 +47,7 @@ pub async fn catalog_rows( dropped_collections::dropped_collections(state, identity, database_id).await } Some("_system.l2_cleanup_queue") => l2_cleanup_queue::l2_cleanup_queue(state, identity), + Some("nodedb.spatial_ref_sys") => spatial_ref_sys::spatial_ref_sys(state), _ => Ok(Vec::new()), } } diff --git a/nodedb/src/control/server/pgwire/catalog/schema.rs b/nodedb/src/control/server/pgwire/catalog/schema.rs index 50c9f8126..3bc40878b 100644 --- a/nodedb/src/control/server/pgwire/catalog/schema.rs +++ b/nodedb/src/control/server/pgwire/catalog/schema.rs @@ -21,6 +21,8 @@ pub enum CatalogColType { Int4, /// 8-byte integer. Int8, + /// 8-byte float. + Float8, Text, } @@ -29,6 +31,7 @@ impl CatalogColType { match self { CatalogColType::Bool => SqlDataType::Bool, CatalogColType::Int4 | CatalogColType::Int8 => SqlDataType::Int64, + CatalogColType::Float8 => SqlDataType::Float64, CatalogColType::Text => SqlDataType::String, } } @@ -59,6 +62,7 @@ pub const KNOWN_TABLES: &[&str] = &[ "_system.audit_log", "_system.dropped_collections", "_system.l2_cleanup_queue", + "nodedb.spatial_ref_sys", ]; /// Map a relation name to its canonical static name (case-insensitive). @@ -72,7 +76,7 @@ pub fn known_table(name: &str) -> Option<&'static str> { /// Static column spec for a known catalog relation, in output order. Returns /// `None` for any name that is not a catalog relation. pub fn catalog_columns(table: &str) -> Option> { - use CatalogColType::{Bool, Int4, Int8, Text}; + use CatalogColType::{Bool, Float8, Int4, Int8, Text}; Some(match table { "pg_database" => vec![ col("oid", Int8), @@ -197,6 +201,16 @@ pub fn catalog_columns(table: &str) -> Option> { col("last_error", Text), col("attempts", Int4), ], + "nodedb.spatial_ref_sys" => vec![ + col("srid", Int4), + col("auth_name", Text), + col("auth_srid", Int4), + col("name", Text), + col("kind", Text), + col("proj4text", Text), + col("srtext", Text), + col("datum_shift_accuracy_m", Float8), + ], _ => return None, }) } diff --git a/nodedb/src/control/server/pgwire/catalog/spatial_ref_sys.rs b/nodedb/src/control/server/pgwire/catalog/spatial_ref_sys.rs new file mode 100644 index 000000000..88902c9fc --- /dev/null +++ b/nodedb/src/control/server/pgwire/catalog/spatial_ref_sys.rs @@ -0,0 +1,73 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `nodedb.spatial_ref_sys` row producer: every built-in CRS, then every +//! live user-defined CRS. +//! +//! Columns follow PostGIS `spatial_ref_sys`, plus `name`, `kind` and the +//! accuracy of the datum shift to WGS 84. `srtext` is WKT2:2019 and +//! `proj4text` a PROJ string. `proj4text` is NULL for a CRS no PROJ string +//! expresses, such as one with a time-dependent datum shift, as PostGIS +//! leaves it empty for such a CRS. A dropped user-defined code is not +//! listed: it resolves to nothing. + +use std::collections::HashMap; + +use nodedb_crs::{CrsDef, CustomCrsState, DatumShift, NODEDB_AUTHORITY, Srid, SridAuthority}; +use nodedb_types::Value; + +use crate::control::state::SharedState; + +use super::tables::collections::encode_row; + +pub fn spatial_ref_sys(state: &SharedState) -> crate::Result>> { + let mut rows = Vec::new(); + for entry in nodedb_crs::builtin_entries() { + let srid = Srid::new(entry.code).map_err(|e| crate::Error::Internal { + detail: format!("built-in CRS table: {e}"), + })?; + let def = entry.definition(srid).map_err(|e| crate::Error::Internal { + detail: format!("built-in CRS {srid}: {e}"), + })?; + rows.push(encode_row(row(&def, Some(entry.proj.to_string())))?); + } + let custom = state.credentials.catalog().custom_crs_set(); + for entry in custom.entries() { + match &entry.state { + CustomCrsState::Live(def) => { + // The only export error is a time-dependent shift, which no + // PROJ string carries: the column is NULL, as in PostGIS. + let proj4text = def.to_proj_string().ok(); + rows.push(encode_row(row(def, proj4text))?); + } + CustomCrsState::Dropped => {} + } + } + Ok(rows) +} + +/// One row: `def` with `proj4text` as the PROJ text to show, NULL when +/// `None`. +fn row(def: &CrsDef, proj4text: Option) -> HashMap { + let srid = def.srid; + let auth_name = match srid.authority() { + SridAuthority::Epsg => "EPSG", + SridAuthority::NodeDb | SridAuthority::User | SridAuthority::Reserved => NODEDB_AUTHORITY, + }; + let accuracy = match &def.datum.to_wgs84 { + DatumShift::Helmert(h) => h.accuracy_m.map_or(Value::Null, Value::Float), + DatumShift::Identity => Value::Null, + }; + let mut r = HashMap::with_capacity(8); + r.insert("srid".into(), Value::Integer(i64::from(srid.code()))); + r.insert("auth_name".into(), Value::String(auth_name.into())); + r.insert("auth_srid".into(), Value::Integer(i64::from(srid.code()))); + r.insert("name".into(), Value::String(def.name.to_string())); + r.insert("kind".into(), Value::String(def.kind.as_str().into())); + r.insert( + "proj4text".into(), + proj4text.map_or(Value::Null, Value::String), + ); + r.insert("srtext".into(), Value::String(def.to_wkt2())); + r.insert("datum_shift_accuracy_m".into(), accuracy); + r +} diff --git a/nodedb/src/control/server/pgwire/handler/core/simple_query.rs b/nodedb/src/control/server/pgwire/handler/core/simple_query.rs index 25645ecf9..90a948f84 100644 --- a/nodedb/src/control/server/pgwire/handler/core/simple_query.rs +++ b/nodedb/src/control/server/pgwire/handler/core/simple_query.rs @@ -92,19 +92,8 @@ impl SimpleQueryHandler for NodeDbPgHandler { .await; } - // J.4: install the DDL audit context for this statement. Any - // `propose_catalog_entry` call reached from `execute_sql` - // picks up the identity + raw SQL so the applier can emit a - // full audit record on every replica. The guard auto-clears - // on scope exit. - let _audit_scope = crate::control::server::shared::session::audit_context::AuditScope::new( - crate::control::server::shared::session::audit_context::AuditCtx { - auth_user_id: identity.user_id.to_string(), - auth_user_name: identity.username.clone(), - sql_text: query.to_string(), - }, - ); - + // `execute_sql` installs the DDL audit context of each statement the + // message splits into. let result = self .execute_sql(&identity, session_id, query, &TEXT_RESULTS) .await; diff --git a/nodedb/src/control/server/pgwire/handler/dispatch/local.rs b/nodedb/src/control/server/pgwire/handler/dispatch/local.rs index a06d6462a..394bd180b 100644 --- a/nodedb/src/control/server/pgwire/handler/dispatch/local.rs +++ b/nodedb/src/control/server/pgwire/handler/dispatch/local.rs @@ -31,6 +31,7 @@ impl NodeDbPgHandler { apply_key: 0, commit_hlc: None, change_position: None, + system_ordinal: None, }, ) .await diff --git a/nodedb/src/control/server/pgwire/handler/prepared/execute.rs b/nodedb/src/control/server/pgwire/handler/prepared/execute.rs index 1078cd399..06eb66470 100644 --- a/nodedb/src/control/server/pgwire/handler/prepared/execute.rs +++ b/nodedb/src/control/server/pgwire/handler/prepared/execute.rs @@ -64,18 +64,14 @@ impl NodeDbPgHandler { self.authorize_session_database(&identity, session_id)?; let tenant_id = identity.tenant_id; - // J.4: mirror `do_query`'s audit scope. The extended-query - // path also triggers DDL (a prepared `CREATE COLLECTION` - // binds parameters then dispatches), so audit context must - // be installed here too or followers receive a plain - // `CatalogDdl` with no SQL trail. - let _audit_scope = crate::control::server::shared::session::audit_context::AuditScope::new( - crate::control::server::shared::session::audit_context::AuditCtx { - auth_user_id: identity.user_id.to_string(), - auth_user_name: identity.username.clone(), - sql_text: stmt.sql.clone(), - }, - ); + // The extended-query path also runs DDL (a prepared `CREATE + // COLLECTION` binds parameters, then dispatches), so it installs the + // statement's audit context too. A credential statement installs its + // redacted text. + let _audit_scope = + crate::control::server::shared::session::audit_context::AuditScope::statement( + &identity, &stmt.sql, + ); // Wire-streaming COPY shapes for backup/restore. Recognised before // sqlparser-based execution because the shapes aren't standard COPY diff --git a/nodedb/src/control/server/pgwire/handler/routing/dispatch_loop/finish.rs b/nodedb/src/control/server/pgwire/handler/routing/dispatch_loop/finish.rs index 08e1eefd6..501cce8d2 100644 --- a/nodedb/src/control/server/pgwire/handler/routing/dispatch_loop/finish.rs +++ b/nodedb/src/control/server/pgwire/handler/routing/dispatch_loop/finish.rs @@ -97,6 +97,7 @@ impl NodeDbPgHandler { .as_ref() .map(|r| r.ctx(&self.state.redaction)), sequences.as_ref().map(|s| s as &dyn SequenceAccess), + &crate::control::crs_context::crs_set_for(&self.state), )?; if let Some(n) = notice { self.sessions.push_notice(session_id, n); diff --git a/nodedb/src/control/server/pgwire/handler/routing/execute_dml_hooks.rs b/nodedb/src/control/server/pgwire/handler/routing/execute_dml_hooks.rs index af8f88b52..5cd8e09a9 100644 --- a/nodedb/src/control/server/pgwire/handler/routing/execute_dml_hooks.rs +++ b/nodedb/src/control/server/pgwire/handler/routing/execute_dml_hooks.rs @@ -204,6 +204,7 @@ impl NodeDbPgHandler { projection, Some(redaction.ctx(&self.state.redaction)), None, + &crate::control::crs_context::crs_set_for(&self.state), ) .map_err(|e| shape_error_to_pg(&e))? { diff --git a/nodedb/src/control/server/pgwire/handler/routing/set_ops.rs b/nodedb/src/control/server/pgwire/handler/routing/set_ops.rs index b841f95e5..dd9756968 100644 --- a/nodedb/src/control/server/pgwire/handler/routing/set_ops.rs +++ b/nodedb/src/control/server/pgwire/handler/routing/set_ops.rs @@ -33,6 +33,7 @@ pub(super) fn apply_set_ops( result_formats: &Format, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> PgWireResult<(Response, Option)> { let merged = match dedup_set_op { PostSetOp::Intersect | PostSetOp::IntersectAll => { @@ -51,6 +52,7 @@ pub(super) fn apply_set_ops( projection, redaction, sequences, + crs_set, ) .map_err(|e| shape_error_to_pg(&e))? { diff --git a/nodedb/src/control/server/pgwire/handler/routing/streaming.rs b/nodedb/src/control/server/pgwire/handler/routing/streaming.rs index 6ddc207a9..c1ad7d428 100644 --- a/nodedb/src/control/server/pgwire/handler/routing/streaming.rs +++ b/nodedb/src/control/server/pgwire/handler/routing/streaming.rs @@ -154,6 +154,7 @@ impl NodeDbPgHandler { shaping.projection, Some(redaction.ctx(&state.redaction)), None, + &crate::control::crs_context::crs_set_for(&state), ) .map_err(|e| shape_error_to_pg(&e))? { diff --git a/nodedb/src/control/server/pgwire/handler/sql_exec.rs b/nodedb/src/control/server/pgwire/handler/sql_exec.rs index 1740c25a7..1d83cfc58 100644 --- a/nodedb/src/control/server/pgwire/handler/sql_exec.rs +++ b/nodedb/src/control/server/pgwire/handler/sql_exec.rs @@ -22,6 +22,7 @@ use super::super::types::text_field; use super::connection_admin; use super::core::NodeDbPgHandler; use super::sql_split::split_sql_statements; +use crate::control::server::shared::session::audit_context::AuditScope; use crate::control::server::shared::session::{SessionId, TransactionState}; use crate::control::server::shared::txn_control::{TxnControl, classify as classify_txn_control}; @@ -43,23 +44,19 @@ impl NodeDbPgHandler { requested: &Format, ) -> PgWireResult> { let statements = split_sql_statements(sql); - match statements.len() { - 0 => Ok(vec![Response::EmptyQuery]), - 1 => { - self.execute_single_sql(identity, session_id, &statements[0], requested) - .await - } - _ => { - let mut all = Vec::new(); - for stmt in statements { - let mut resp = self - .execute_single_sql(identity, session_id, &stmt, requested) - .await?; - all.append(&mut resp); - } - Ok(all) - } + if statements.is_empty() { + return Ok(vec![Response::EmptyQuery]); + } + let mut all = Vec::new(); + for stmt in statements { + // Each statement's DDL proposals carry that statement's own text. + let _audit = AuditScope::statement(identity, &stmt); + let mut resp = self + .execute_single_sql(identity, session_id, &stmt, requested) + .await?; + all.append(&mut resp); } + Ok(all) } /// Execute a single (already-split) SQL statement. diff --git a/nodedb/src/control/server/pgwire/handler/stream_response.rs b/nodedb/src/control/server/pgwire/handler/stream_response.rs index e5c5a2bb8..ca8a94d3d 100644 --- a/nodedb/src/control/server/pgwire/handler/stream_response.rs +++ b/nodedb/src/control/server/pgwire/handler/stream_response.rs @@ -233,6 +233,7 @@ pub(crate) fn streaming_shaped_response( Some(&schema_out), redaction.as_ref().map(|r| r.ctx(&state.redaction)), None, + &crate::control::crs_context::crs_set_for(&state), ) .map_err(|e| error_to_pg_in_context("failed to shape streamed batch", &e))?; for row in &shaped.rows { @@ -345,6 +346,7 @@ pub(crate) async fn streaming_star_response( Some(schema), redaction.as_ref().map(|r| r.ctx(&state.redaction)), None, + &crate::control::crs_context::crs_set_for(state), ) { Ok(s) => s, Err(e) => { diff --git a/nodedb/src/control/server/pgwire/types/error_map.rs b/nodedb/src/control/server/pgwire/types/error_map.rs index efee02dfd..f8e0bf7e3 100644 --- a/nodedb/src/control/server/pgwire/types/error_map.rs +++ b/nodedb/src/control/server/pgwire/types/error_map.rs @@ -129,6 +129,7 @@ pub fn error_to_sqlstate(err: &crate::Error) -> (&'static str, &'static str, Str ("ERROR", sqlstate::DATA_EXCEPTION, detail.clone()) } crate::Error::MixedSrid { .. } => ("ERROR", sqlstate::DATA_EXCEPTION, err.to_string()), + crate::Error::UnknownSrid { .. } => ("ERROR", sqlstate::DATA_EXCEPTION, err.to_string()), crate::Error::NumericValueOutOfRange { detail } => ( "ERROR", sqlstate::NUMERIC_VALUE_OUT_OF_RANGE, diff --git a/nodedb/src/control/server/response_shape/compose/array_slice.rs b/nodedb/src/control/server/response_shape/compose/array_slice.rs index d31ead499..09bcfd779 100644 --- a/nodedb/src/control/server/response_shape/compose/array_slice.rs +++ b/nodedb/src/control/server/response_shape/compose/array_slice.rs @@ -30,6 +30,7 @@ pub(super) fn shape_array_slice( projection: Option<&OutputSchema>, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> crate::Result { if payload.is_empty() { return Ok(empty_shaped()); @@ -45,7 +46,7 @@ pub(super) fn shape_array_slice( let notice = truncated.then(|| TRUNCATED_BEFORE_HORIZON_NOTICE.to_string()); let mut shaped = match rows { - Ok(value) => shape_decoded_rows(value, projection, redaction, sequences)?, + Ok(value) => shape_decoded_rows(value, projection, redaction, sequences, crs_set)?, Err(_) => empty_shaped(), }; shaped.notice = notice; diff --git a/nodedb/src/control/server/response_shape/compose/kernel.rs b/nodedb/src/control/server/response_shape/compose/kernel.rs index 450c24a40..5ab1d9b26 100644 --- a/nodedb/src/control/server/response_shape/compose/kernel.rs +++ b/nodedb/src/control/server/response_shape/compose/kernel.rs @@ -39,6 +39,7 @@ pub fn shape_decoded_rows( projection: Option<&OutputSchema>, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> crate::Result { let mut rows = Vec::new(); push_flat_rows( @@ -61,7 +62,12 @@ pub fn shape_decoded_rows( // redaction (an expression reads the values the policy lets through) // and BEFORE projection (the projection drops the pass-through base // columns the expression reads and keeps only the alias). - stamp_computed_columns(projection, &mut rows, sequences)?; + stamp_computed_columns( + projection, + &mut rows, + sequences, + &nodedb_crs::CrsContext::new(crs_set), + )?; match projection { Some(s) if !s.is_star && !s.columns.is_empty() => { @@ -112,6 +118,7 @@ pub(in crate::control::server::response_shape) fn stamp_computed_columns( projection: Option<&OutputSchema>, rows: &mut [ShapedRow], sequences: Option<&dyn SequenceAccess>, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result<()> { let Some(schema) = projection.filter(|s| !s.cp_computed.is_empty()) else { return Ok(()); @@ -120,7 +127,7 @@ pub(in crate::control::server::response_shape) fn stamp_computed_columns( Some(access) => access, None => &NoSequenceAccess, }; - stamp_rows(rows, &schema.cp_computed, access) + stamp_rows(rows, &schema.cp_computed, access, crs) } /// Apply the statement's column-level redaction policy to every flat row. @@ -348,8 +355,14 @@ mod tests { let sources = vec![(String::new(), "users".to_string())]; let decoded = one_row(&[("email", text("a@b.c")), ("name", text("Alice"))]); - let shaped = shape_decoded_rows(decoded, None, Some(ctx(&store, &roles, &sources)), None) - .expect("shape rows"); + let shaped = shape_decoded_rows( + decoded, + None, + Some(ctx(&store, &roles, &sources)), + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape rows"); assert_eq!(shaped.rows[0]["email"], text("***")); assert_eq!(shaped.rows[0]["name"], text("Alice")); } @@ -368,9 +381,22 @@ mod tests { let sources = vec![(String::new(), "users".to_string())]; let decoded = one_row(&[("email", text("a@b.c")), ("name", text("Alice"))]); - let baseline = shape_decoded_rows(decoded.clone(), None, None, None).expect("shape rows"); - let shaped = shape_decoded_rows(decoded, None, Some(ctx(&store, &roles, &sources)), None) - .expect("shape rows"); + let baseline = shape_decoded_rows( + decoded.clone(), + None, + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape rows"); + let shaped = shape_decoded_rows( + decoded, + None, + Some(ctx(&store, &roles, &sources)), + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape rows"); assert_eq!(shaped.rows, baseline.rows); assert_eq!(shaped.columns, baseline.columns); } @@ -395,6 +421,7 @@ mod tests { Some(&projection), Some(ctx(&store, &roles, &sources)), None, + nodedb_crs::CustomCrsSet::empty(), ) .expect("shape rows"); assert_eq!(shaped.columns, vec!["contact".to_string()]); @@ -424,6 +451,7 @@ mod tests { Some(&projection), Some(ctx(&store, &roles, &sources)), None, + nodedb_crs::CustomCrsSet::empty(), ) .expect("shape rows"); // `cell_keys` suffixes the duplicate display name. @@ -445,8 +473,14 @@ mod tests { let sources = vec![(String::new(), "users".to_string())]; let decoded = one_row(&[("id", text("u1")), ("email", text("a@b.c"))]); - let shaped = shape_decoded_rows(decoded, None, Some(ctx(&store, &roles, &sources)), None) - .expect("shape rows"); + let shaped = shape_decoded_rows( + decoded, + None, + Some(ctx(&store, &roles, &sources)), + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape rows"); assert!( shaped.columns.contains(&"email".to_string()), "redacted column must stay in the derived SELECT * schema" @@ -477,8 +511,14 @@ mod tests { let decoded = one_row(&[("at", Value::NaiveDateTime(at)), ("id", text("r1"))]); let projection = named_projection(&[("at", "at")]); - let shaped = - shape_decoded_rows(decoded, Some(&projection), None, None).expect("shape rows"); + let shaped = shape_decoded_rows( + decoded, + Some(&projection), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape rows"); assert_eq!(shaped.rows[0]["at"], Value::NaiveDateTime(at)); assert_eq!( crate::control::server::response_shape::cell::value_to_wire_json(&shaped.rows[0]["at"]), @@ -573,8 +613,14 @@ mod tests { let projection = cp_computed_projection(); let access = FixedAccess(41); - let shaped = shape_decoded_rows(decoded, Some(&projection), None, Some(&access)) - .expect("shape rows"); + let shaped = shape_decoded_rows( + decoded, + Some(&projection), + None, + Some(&access), + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape rows"); assert_eq!(shaped.columns, vec!["id".to_string(), "n".to_string()]); assert_eq!(shaped.rows[0]["n"], Value::Integer(41)); } @@ -584,8 +630,14 @@ mod tests { let decoded = one_row(&[("id", text("r1"))]); let projection = cp_computed_projection(); - let err = - shape_decoded_rows(decoded, Some(&projection), None, None).expect_err("must refuse"); + let err = shape_decoded_rows( + decoded, + Some(&projection), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect_err("must refuse"); assert!(matches!(err, crate::Error::FeatureNotSupported { .. })); } @@ -608,8 +660,14 @@ mod tests { }, ]; - let shaped = shape_decoded_rows(decoded, Some(&projection), None, None) - .expect("an accessor-free column evaluates without sequence access"); + let shaped = shape_decoded_rows( + decoded, + Some(&projection), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("an accessor-free column evaluates without sequence access"); assert_eq!(shaped.columns, vec!["document".to_string()]); let Value::Object(document) = &shaped.rows[0]["document"] else { panic!("the whole row is an object: {:?}", shaped.rows[0]); diff --git a/nodedb/src/control/server/response_shape/compose/materialized.rs b/nodedb/src/control/server/response_shape/compose/materialized.rs index 9bf118d15..7eb0b71bb 100644 --- a/nodedb/src/control/server/response_shape/compose/materialized.rs +++ b/nodedb/src/control/server/response_shape/compose/materialized.rs @@ -92,6 +92,7 @@ pub async fn shape_response_materialized( projection, redaction, sequences.map(|s| s as &dyn SequenceAccess), + &crate::control::crs_context::crs_set_for(state), ) } @@ -106,6 +107,7 @@ pub fn shape_returning_materialized( plan, plan_kind, projection, + state, redaction, sequences, .. @@ -125,6 +127,7 @@ pub fn shape_returning_materialized( projection, redaction, sequences.map(|s| s as &dyn SequenceAccess), + &crate::control::crs_context::crs_set_for(state), ) } @@ -135,16 +138,19 @@ fn shape_translated( projection: Option<&OutputSchema>, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> Result { let shaped = match plan_kind { - PlanKind::ArraySlice => shape_array_slice(translated, projection, redaction, sequences)?, + PlanKind::ArraySlice => { + shape_array_slice(translated, projection, redaction, sequences, crs_set)? + } // `RETURNING` rows are held to the columns already announced to the // client, when any were — see `super::returning`. PlanKind::ReturningRows => { - shape_returning_rows(translated, projection, redaction, sequences)? + shape_returning_rows(translated, projection, redaction, sequences, crs_set)? } PlanKind::SingleDocument | PlanKind::MultiRow => { - shape_generic_rows(translated, projection, redaction, sequences)? + shape_generic_rows(translated, projection, redaction, sequences, crs_set)? } // The callers return early for these; kept exhaustive (no catch-all, // no panic) so a future PlanKind desync degrades to passthrough @@ -175,19 +181,20 @@ pub fn shape_payload_no_plan( projection: Option<&OutputSchema>, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> Result { Ok(match plan_kind { PlanKind::Execution | PlanKind::DmlResult(_) | PlanKind::DmlResultByOp => { ShapeOutcome::Passthrough } PlanKind::ArraySlice => ShapeOutcome::Rows(shape_array_slice( - payload, projection, redaction, sequences, + payload, projection, redaction, sequences, crs_set, )?), PlanKind::ReturningRows => ShapeOutcome::Rows(shape_returning_rows( - payload, projection, redaction, sequences, + payload, projection, redaction, sequences, crs_set, )?), PlanKind::SingleDocument | PlanKind::MultiRow => ShapeOutcome::Rows(shape_generic_rows( - payload, projection, redaction, sequences, + payload, projection, redaction, sequences, crs_set, )?), }) } @@ -203,12 +210,13 @@ fn shape_generic_rows( projection: Option<&OutputSchema>, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> crate::Result { if payload.is_empty() { return Ok(empty_shaped()); } match decode_payload_value(payload) { - Ok(value) => shape_decoded_rows(value, projection, redaction, sequences), + Ok(value) => shape_decoded_rows(value, projection, redaction, sequences, crs_set), Err(_) => Ok(single_result_row( String::from_utf8_lossy(payload).into_owned(), )), @@ -295,7 +303,14 @@ mod tests { expected ); - let no_plan = shape_payload_no_plan(&payload, kind, None, None, None); + let no_plan = shape_payload_no_plan( + &payload, + kind, + None, + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ); assert!(matches!(no_plan, Ok(ShapeOutcome::Passthrough))); assert_eq!( payload, original_payload, @@ -322,9 +337,15 @@ mod tests { ])) .expect("encode"); - let ShapeOutcome::Rows(shaped) = - shape_payload_no_plan(&payload, PlanKind::MultiRow, None, None, None).expect("shape") - else { + let ShapeOutcome::Rows(shaped) = shape_payload_no_plan( + &payload, + PlanKind::MultiRow, + None, + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape") else { panic!("multi-row plan must yield rows"); }; assert_eq!( diff --git a/nodedb/src/control/server/response_shape/returning.rs b/nodedb/src/control/server/response_shape/returning.rs index f53b55d58..203cfdb53 100644 --- a/nodedb/src/control/server/response_shape/returning.rs +++ b/nodedb/src/control/server/response_shape/returning.rs @@ -61,6 +61,7 @@ pub fn shape_returning_rows( projection: Option<&OutputSchema>, redaction: Option>, sequences: Option<&dyn SequenceAccess>, + crs_set: &nodedb_crs::CustomCrsSet, ) -> Result { let announced = announced_columns(projection); @@ -119,7 +120,12 @@ pub fn shape_returning_rows( redact_rows(redaction.as_ref(), &mut rows); // Stamped after redaction and before the announced projection drops the // pass-through columns an expression reads. - stamp_computed_columns(projection, &mut rows, sequences)?; + stamp_computed_columns( + projection, + &mut rows, + sequences, + &nodedb_crs::CrsContext::new(crs_set), + )?; let Some(schema) = announced else { let column_types = ShapedRows::text_types(columns.len()); @@ -295,7 +301,14 @@ mod tests { }, }) .expect("encode rejecting payload"); - let shaped = shape_returning_rows(&rejecting, None, None, None).expect("shape"); + let shaped = shape_returning_rows( + &rejecting, + None, + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.rows.len(), 1); let notices = statement_notice::take(); assert_eq!(notices.len(), 1); @@ -305,7 +318,8 @@ mod tests { ); let plain = payload(&["id"], &[&[Some("a")]]); - shape_returning_rows(&plain, None, None, None).expect("shape"); + shape_returning_rows(&plain, None, None, None, nodedb_crs::CustomCrsSet::empty()) + .expect("shape"); assert!(statement_notice::take().is_empty()); }) .await; @@ -365,7 +379,9 @@ mod tests { &["id", "name", "score"], &[&[Some("a"), Some("x"), Some("1")]], ); - let shaped = shape_returning_rows(&bytes, None, None, None).expect("shape"); + let shaped = + shape_returning_rows(&bytes, None, None, None, nodedb_crs::CustomCrsSet::empty()) + .expect("shape"); assert_eq!(shaped.columns, ["id", "name", "score"]); assert_eq!(shaped.rows.len(), 1); } @@ -379,7 +395,14 @@ mod tests { &[&[Some("a"), Some("x"), Some("surprise")]], ); let schema = announced(&[("id", DdlColType::Text), ("name", DdlColType::Text)]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.columns, ["id", "name"]); assert_eq!(shaped.column_types.len(), shaped.columns.len()); let keys = shaped.cell_keys(); @@ -398,7 +421,14 @@ mod tests { ("name", DdlColType::Text), ("score", DdlColType::Int8), ]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.columns, ["id", "name", "score"]); assert_eq!(shaped.rows[0]["id"], text("a")); assert_eq!(shaped.rows[0]["name"], Value::Null); @@ -419,7 +449,14 @@ mod tests { ("b", DdlColType::Bool), ("s", DdlColType::Text), ]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.rows[0]["i"], Value::Integer(42)); assert_eq!(shaped.rows[0]["f"], Value::Float(1.5)); assert_eq!(shaped.rows[0]["b"], Value::Bool(true)); @@ -446,7 +483,14 @@ mod tests { ("tstz", DdlColType::Timestamptz), ("digits", DdlColType::Timestamp), ]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.rows[0]["ts"], Value::NaiveDateTime(at)); assert_eq!(shaped.rows[0]["tstz"], Value::DateTime(at)); assert_eq!(shaped.rows[0]["digits"], text("1583402400000000")); @@ -461,7 +505,14 @@ mod tests { ("v", DdlColType::Float4Array), ("bad", DdlColType::Float8Array), ]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!( shaped.rows[0]["v"], Value::Array(vec![ @@ -495,7 +546,14 @@ mod tests { ("f", DdlColType::Float8), ("gone", DdlColType::Text), ]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.rows[0]["n"], Value::Integer(7)); assert_eq!(shaped.rows[0]["at"], Value::NaiveDateTime(at)); assert_eq!( @@ -513,7 +571,9 @@ mod tests { fn an_instant_cell_renders_iso8601_without_a_projection() { let at = NdbDateTime::from_micros(1_583_402_400_000_000); let bytes = typed_payload(&["at"], vec![vec![Value::DateTime(at)]]); - let shaped = shape_returning_rows(&bytes, None, None, None).expect("shape"); + let shaped = + shape_returning_rows(&bytes, None, None, None, nodedb_crs::CustomCrsSet::empty()) + .expect("shape"); assert_eq!(shaped.rows[0]["at"], Value::DateTime(at)); assert_eq!( value_to_wire_json(&shaped.rows[0]["at"]), @@ -527,7 +587,14 @@ mod tests { fn an_unparseable_cell_stays_text() { let bytes = payload(&["i"], &[&[Some("not a number")]]); let schema = announced(&[("i", DdlColType::Int8)]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.rows[0]["i"], text("not a number")); } @@ -536,7 +603,14 @@ mod tests { #[test] fn an_empty_payload_keeps_the_announced_columns() { let schema = announced(&[("id", DdlColType::Text), ("score", DdlColType::Int8)]); - let shaped = shape_returning_rows(&[], Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &[], + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.columns, ["id", "score"]); assert!(shaped.rows.is_empty()); } @@ -547,7 +621,14 @@ mod tests { fn a_rowless_payload_keeps_the_announced_columns() { let bytes = payload(&[], &[]); let schema = announced(&[("id", DdlColType::Text)]); - let shaped = shape_returning_rows(&bytes, Some(&schema), None, None).expect("shape"); + let shaped = shape_returning_rows( + &bytes, + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("shape"); assert_eq!(shaped.columns, ["id"]); assert!(shaped.rows.is_empty()); } @@ -558,14 +639,30 @@ mod tests { #[test] fn a_malformed_payload_fails_when_columns_were_announced() { let schema = announced(&[("id", DdlColType::Text)]); - assert!(shape_returning_rows(&[0xFF, 0xFE], Some(&schema), None, None).is_err()); + assert!( + shape_returning_rows( + &[0xFF, 0xFE], + Some(&schema), + None, + None, + nodedb_crs::CustomCrsSet::empty() + ) + .is_err() + ); } /// With nothing announced there is no contract to violate, so the legacy /// single-column fallback still applies. #[test] fn a_malformed_payload_falls_back_when_nothing_was_announced() { - let shaped = shape_returning_rows(&[0xFF, 0xFE], None, None, None).expect("fallback"); + let shaped = shape_returning_rows( + &[0xFF, 0xFE], + None, + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) + .expect("fallback"); assert_eq!(shaped.columns, ["result"]); } } diff --git a/nodedb/src/control/server/response_shape/stamp/evaluate.rs b/nodedb/src/control/server/response_shape/stamp/evaluate.rs index 403aa28d0..951427d1d 100644 --- a/nodedb/src/control/server/response_shape/stamp/evaluate.rs +++ b/nodedb/src/control/server/response_shape/stamp/evaluate.rs @@ -27,6 +27,7 @@ pub fn stamp_rows( rows: &mut [ShapedRow], columns: &[CpComputedColumn], access: &dyn SequenceAccess, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result<()> { if columns.is_empty() { return Ok(()); @@ -34,8 +35,8 @@ pub fn stamp_rows( for row in rows.iter_mut() { let mut doc = row_document(row); for column in columns { - let resolved = resolve_accessors(&column.expr, &doc, access)?; - let value = resolved.eval(&doc)?; + let resolved = resolve_accessors(&column.expr, &doc, access, crs)?; + let value = resolved.eval(&doc, crs)?; if let Some(map) = doc.as_object_mut() { map.insert(column.alias.clone(), value.clone()); } @@ -126,7 +127,13 @@ mod tests { fn each_row_gets_its_own_nextval_in_row_order() { let access = FakeAccess::new(); let mut rows = rows(3); - stamp_rows(&mut rows, &[column("n", accessor("nextval"))], &access).expect("stamp"); + stamp_rows( + &mut rows, + &[column("n", accessor("nextval"))], + &access, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("stamp"); let stamped: Vec<&Value> = rows.iter().map(|r| &r["n"]).collect(); assert_eq!( stamped, @@ -145,6 +152,7 @@ mod tests { column("c", accessor("currval")), ], &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("stamp"); assert_eq!(rows[0]["n"], rows[0]["c"]); @@ -170,6 +178,7 @@ mod tests { ), ], &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("stamp"); assert_eq!(rows[0]["doubled"], Value::Integer(2)); @@ -190,6 +199,7 @@ mod tests { }, )], &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("stamp"); assert_eq!(rows[0]["tagged"], Value::Integer(1)); @@ -200,8 +210,13 @@ mod tests { fn currval_before_nextval_fails_with_its_own_class() { let access = FakeAccess::new(); let mut rows = rows(1); - let err = stamp_rows(&mut rows, &[column("c", accessor("currval"))], &access) - .expect_err("must fail"); + let err = stamp_rows( + &mut rows, + &[column("c", accessor("currval"))], + &access, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect_err("must fail"); assert!(matches!( err, crate::Error::ObjectNotInPrerequisiteState { .. } @@ -223,6 +238,7 @@ mod tests { }, )], &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect_err("must fail"); assert!(matches!(err, crate::Error::DivisionByZero)); @@ -232,7 +248,13 @@ mod tests { fn no_columns_leaves_rows_untouched() { let access = FakeAccess::new(); let mut rows = rows(2); - stamp_rows(&mut rows, &[], &access).expect("stamp"); + stamp_rows( + &mut rows, + &[], + &access, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("stamp"); assert!(rows.iter().all(|r| r.len() == 1)); } } diff --git a/nodedb/src/control/server/response_shape/stamp/substitute.rs b/nodedb/src/control/server/response_shape/stamp/substitute.rs index 5d2a0f75e..2bfc4334b 100644 --- a/nodedb/src/control/server/response_shape/stamp/substitute.rs +++ b/nodedb/src/control/server/response_shape/stamp/substitute.rs @@ -19,6 +19,7 @@ pub(super) fn resolve_accessors( expr: &SqlExpr, row: &Value, access: &dyn SequenceAccess, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result { match expr { SqlExpr::Column(_) @@ -26,15 +27,15 @@ pub(super) fn resolve_accessors( | SqlExpr::OldColumn(_) | SqlExpr::ExcludedColumn(_) => Ok(expr.clone()), SqlExpr::BinaryOp { left, op, right } => Ok(SqlExpr::BinaryOp { - left: Box::new(resolve_accessors(left, row, access)?), + left: Box::new(resolve_accessors(left, row, access, crs)?), op: *op, - right: Box::new(resolve_accessors(right, row, access)?), + right: Box::new(resolve_accessors(right, row, access, crs)?), }), SqlExpr::Negate(inner) => Ok(SqlExpr::Negate(Box::new(resolve_accessors( - inner, row, access, + inner, row, access, crs, )?))), SqlExpr::Cast { expr, to_type } => Ok(SqlExpr::Cast { - expr: Box::new(resolve_accessors(expr, row, access)?), + expr: Box::new(resolve_accessors(expr, row, access, crs)?), to_type: to_type.clone(), }), SqlExpr::Case { @@ -42,41 +43,41 @@ pub(super) fn resolve_accessors( when_thens, else_expr, } => Ok(SqlExpr::Case { - operand: resolve_boxed(operand.as_deref(), row, access)?, + operand: resolve_boxed(operand.as_deref(), row, access, crs)?, when_thens: when_thens .iter() .map(|(when, then)| { Ok(( - resolve_accessors(when, row, access)?, - resolve_accessors(then, row, access)?, + resolve_accessors(when, row, access, crs)?, + resolve_accessors(then, row, access, crs)?, )) }) .collect::>>()?, - else_expr: resolve_boxed(else_expr.as_deref(), row, access)?, + else_expr: resolve_boxed(else_expr.as_deref(), row, access, crs)?, }), - SqlExpr::Coalesce(items) => Ok(SqlExpr::Coalesce(resolve_list(items, row, access)?)), + SqlExpr::Coalesce(items) => Ok(SqlExpr::Coalesce(resolve_list(items, row, access, crs)?)), SqlExpr::NullIf(left, right) => Ok(SqlExpr::NullIf( - Box::new(resolve_accessors(left, row, access)?), - Box::new(resolve_accessors(right, row, access)?), + Box::new(resolve_accessors(left, row, access, crs)?), + Box::new(resolve_accessors(right, row, access, crs)?), )), SqlExpr::IsNull { expr, negated } => Ok(SqlExpr::IsNull { - expr: Box::new(resolve_accessors(expr, row, access)?), + expr: Box::new(resolve_accessors(expr, row, access, crs)?), negated: *negated, }), SqlExpr::Function { name, args } => { - let args = resolve_list(args, row, access)?; + let args = resolve_list(args, row, access, crs)?; let lowered = name.to_ascii_lowercase(); match lowered.as_str() { "nextval" => { - let sequence = sequence_name(&lowered, &args, row)?; + let sequence = sequence_name(&lowered, &args, row, crs)?; Ok(SqlExpr::Literal(Value::Integer(access.nextval(&sequence)?))) } "currval" => { - let sequence = sequence_name(&lowered, &args, row)?; + let sequence = sequence_name(&lowered, &args, row, crs)?; Ok(SqlExpr::Literal(Value::Integer(access.currval(&sequence)?))) } "setval" => { - let (sequence, value) = setval_args(&args, row)?; + let (sequence, value) = setval_args(&args, row, crs)?; Ok(SqlExpr::Literal(Value::Integer( access.setval(&sequence, value)?, ))) @@ -94,8 +95,9 @@ fn resolve_boxed( expr: Option<&SqlExpr>, row: &Value, access: &dyn SequenceAccess, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result>> { - expr.map(|e| resolve_accessors(e, row, access).map(Box::new)) + expr.map(|e| resolve_accessors(e, row, access, crs).map(Box::new)) .transpose() } @@ -103,16 +105,22 @@ fn resolve_list( items: &[SqlExpr], row: &Value, access: &dyn SequenceAccess, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result> { items .iter() - .map(|item| resolve_accessors(item, row, access)) + .map(|item| resolve_accessors(item, row, access, crs)) .collect() } /// The single sequence-name argument of `nextval` / `currval`, evaluated /// against the row. -fn sequence_name(function: &str, args: &[SqlExpr], row: &Value) -> crate::Result { +fn sequence_name( + function: &str, + args: &[SqlExpr], + row: &Value, + crs: &nodedb_crs::CrsContext<'_>, +) -> crate::Result { let [arg] = args else { return Err(crate::Error::PlanError { detail: format!( @@ -121,7 +129,7 @@ fn sequence_name(function: &str, args: &[SqlExpr], row: &Value) -> crate::Result ), }); }; - match arg.eval(row)? { + match arg.eval(row, crs)? { Value::String(name) => Ok(name), other => Err(crate::Error::PlanError { detail: format!( @@ -132,7 +140,11 @@ fn sequence_name(function: &str, args: &[SqlExpr], row: &Value) -> crate::Result } /// The `(name, value)` arguments of `setval`, both evaluated against the row. -fn setval_args(args: &[SqlExpr], row: &Value) -> crate::Result<(String, i64)> { +fn setval_args( + args: &[SqlExpr], + row: &Value, + crs: &nodedb_crs::CrsContext<'_>, +) -> crate::Result<(String, i64)> { let [name_arg, value_arg] = args else { return Err(crate::Error::PlanError { detail: format!( @@ -141,7 +153,7 @@ fn setval_args(args: &[SqlExpr], row: &Value) -> crate::Result<(String, i64)> { ), }); }; - let name = match name_arg.eval(row)? { + let name = match name_arg.eval(row, crs)? { Value::String(name) => name, other => { return Err(crate::Error::PlanError { @@ -151,7 +163,7 @@ fn setval_args(args: &[SqlExpr], row: &Value) -> crate::Result<(String, i64)> { }); } }; - let value = coerce_i64(&value_arg.eval(row)?).ok_or_else(|| crate::Error::PlanError { + let value = coerce_i64(&value_arg.eval(row, crs)?).ok_or_else(|| crate::Error::PlanError { detail: "setval() second argument must evaluate to a bigint".to_string(), })?; Ok((name, value)) @@ -237,8 +249,13 @@ mod tests { #[test] fn nextval_becomes_an_integer_literal() { let access = FakeAccess::new(); - let out = - resolve_accessors(&call("NEXTVAL", vec![text("s")]), &row(), &access).expect("resolve"); + let out = resolve_accessors( + &call("NEXTVAL", vec![text("s")]), + &row(), + &access, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("resolve"); assert_eq!(out, SqlExpr::Literal(Value::Integer(1))); assert_eq!(access.calls.borrow().as_slice(), ["nextval:s"]); } @@ -262,12 +279,22 @@ mod tests { ], )), }; - let out = resolve_accessors(&expr, &row(), &access).expect("resolve"); + let out = resolve_accessors( + &expr, + &row(), + &access, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("resolve"); assert_eq!( access.calls.borrow().as_slice(), ["nextval:s", "nextval:s", "setval:s=12"] ); - assert_eq!(out.eval(&row()).expect("eval"), Value::Integer(13)); + assert_eq!( + out.eval(&row(), &nodedb_crs::CrsContext::builtin_only()) + .expect("eval"), + Value::Integer(13) + ); } #[test] @@ -280,6 +307,7 @@ mod tests { &call("nextval", vec![SqlExpr::Column("seq".to_string())]), &row, &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("resolve"); assert_eq!(access.calls.borrow().as_slice(), ["nextval:orders"]); @@ -292,6 +320,7 @@ mod tests { &call("currval", vec![SqlExpr::Literal(Value::Integer(3))]), &row(), &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect_err("must fail"); assert!( @@ -304,11 +333,21 @@ mod tests { fn wrong_arity_is_a_plan_error() { let access = FakeAccess::new(); assert!(matches!( - resolve_accessors(&call("nextval", vec![]), &row(), &access), + resolve_accessors( + &call("nextval", vec![]), + &row(), + &access, + &nodedb_crs::CrsContext::builtin_only() + ), Err(crate::Error::PlanError { .. }) )); assert!(matches!( - resolve_accessors(&call("setval", vec![text("s")]), &row(), &access), + resolve_accessors( + &call("setval", vec![text("s")]), + &row(), + &access, + &nodedb_crs::CrsContext::builtin_only() + ), Err(crate::Error::PlanError { .. }) )); } @@ -320,6 +359,7 @@ mod tests { &call("setval", vec![text("s"), text(" 7 ")]), &row(), &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("text"); resolve_accessors( @@ -329,6 +369,7 @@ mod tests { ), &row(), &access, + &nodedb_crs::CrsContext::builtin_only(), ) .expect("float"); assert!(matches!( @@ -339,6 +380,7 @@ mod tests { ), &row(), &access, + &nodedb_crs::CrsContext::builtin_only() ), Err(crate::Error::PlanError { .. }) )); @@ -355,7 +397,13 @@ mod tests { SqlExpr::Column("x".to_string()), call("abs", vec![call("nextval", vec![text("s")])]), ]); - let out = resolve_accessors(&expr, &row(), &access).expect("resolve"); + let out = resolve_accessors( + &expr, + &row(), + &access, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("resolve"); assert_eq!( out, SqlExpr::Coalesce(vec![ diff --git a/nodedb/src/control/server/response_shape/types/plan_kind/graph.rs b/nodedb/src/control/server/response_shape/types/plan_kind/graph.rs index 0795dc56d..8bcd5a232 100644 --- a/nodedb/src/control/server/response_shape/types/plan_kind/graph.rs +++ b/nodedb/src/control/server/response_shape/types/plan_kind/graph.rs @@ -23,7 +23,6 @@ pub(super) fn describe_graph(op: &GraphOp) -> PlanKind { | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodePresenceRead { .. } => PlanKind::MultiRow, diff --git a/nodedb/src/control/server/response_shape/walk.rs b/nodedb/src/control/server/response_shape/walk.rs index edb8cfb7a..b922f5ed6 100644 --- a/nodedb/src/control/server/response_shape/walk.rs +++ b/nodedb/src/control/server/response_shape/walk.rs @@ -73,6 +73,7 @@ mod tests { options: GraphTraversalOptions::default(), rls_filters: Vec::new(), frontier_bitmap: None, + scope: nodedb_physical::physical_plan::GraphReadScope::default(), }) } @@ -83,9 +84,14 @@ mod tests { let names = vec!["a".to_string(), "c".to_string(), "b".to_string()]; let payload = zerompk::to_msgpack_vec(&names).expect("names encode"); let wrapped = apply_walk_wrap(&hop(), &payload).expect("walk wraps"); - let Ok(ShapeOutcome::Rows(shaped)) = - shape_payload_no_plan(&wrapped, PlanKind::MultiRow, None, None, None) - else { + let Ok(ShapeOutcome::Rows(shaped)) = shape_payload_no_plan( + &wrapped, + PlanKind::MultiRow, + None, + None, + None, + nodedb_crs::CustomCrsSet::empty(), + ) else { panic!("a walk shapes into rows"); }; let got: Vec = shaped diff --git a/nodedb/src/control/server/response_translate/dispatch.rs b/nodedb/src/control/server/response_translate/dispatch.rs index 51e2c341e..6eb9bda6d 100644 --- a/nodedb/src/control/server/response_translate/dispatch.rs +++ b/nodedb/src/control/server/response_translate/dispatch.rs @@ -240,7 +240,6 @@ async fn translate_graph_op( | GraphOp::BspSuperstep(_) | GraphOp::WccSuperstep(_) | GraphOp::TemporalNeighbors { .. } - | GraphOp::TemporalAlgorithm { .. } | GraphOp::Stats { .. } | GraphOp::NodeEdgeGuard { .. } | GraphOp::NodePresenceGuard { .. } diff --git a/nodedb/src/control/server/response_translate/vector.rs b/nodedb/src/control/server/response_translate/vector.rs index e4009f8a0..8abe20826 100644 --- a/nodedb/src/control/server/response_translate/vector.rs +++ b/nodedb/src/control/server/response_translate/vector.rs @@ -57,13 +57,19 @@ pub struct VectorHitCut<'a> { /// Apply the residual filter, then truncate to `top_k`. With /// `strip_bodies`, drop the body bytes the Data Plane attached only for the /// predicate. A no-op when `rls_filters` is empty. -fn apply_rls_filter(hits: &mut Vec, rls_filters: &[u8], top_k: usize, strip_bodies: bool) { +fn apply_rls_filter( + hits: &mut Vec, + rls_filters: &[u8], + top_k: usize, + strip_bodies: bool, + crs: &nodedb_crs::CrsContext<'_>, +) { // When filters are empty the Data Plane ranks exactly `top_k` and // attaches a body only for projection, so there is nothing to do. if rls_filters.is_empty() { return; } - admit_hits(hits, rls_filters, top_k); + admit_hits(hits, rls_filters, top_k, crs); if strip_bodies { for h in hits.iter_mut() { h.body = None; @@ -77,7 +83,12 @@ fn apply_rls_filter(hits: &mut Vec, rls_filters: &[u8], top_k: usize, strip /// The Data Plane ranks a wider window when a residual filter applies: the /// statement's `WHERE` conjuncts and any read policy. The filter and the cut /// run here, on the Control Plane. -fn admit_hits(hits: &mut Vec, rls_filters: &[u8], top_k: usize) { +fn admit_hits( + hits: &mut Vec, + rls_filters: &[u8], + top_k: usize, + crs: &nodedb_crs::CrsContext<'_>, +) { let filters: Vec = match zerompk::from_msgpack(rls_filters) { Ok(f) => f, Err(_) => { @@ -96,7 +107,7 @@ fn admit_hits(hits: &mut Vec, rls_filters: &[u8], top_k: usize) { // request without larger dispatch-chain changes, and dropping hits is // the strictly safer outcome for an RLS filter regardless. hits.retain(|h| match h.body.as_deref() { - Some(body) => ScanFilter::all_match_binary(&filters, body).unwrap_or(false), + Some(body) => ScanFilter::all_match_binary(&filters, body, crs).unwrap_or(false), None => false, }); if hits.len() > top_k { @@ -115,6 +126,7 @@ pub(crate) fn filter_vector_hits( payload: &[u8], rls_filters: &[u8], top_k: usize, + crs: &nodedb_crs::CrsContext<'_>, ) -> crate::Result> { if rls_filters.is_empty() { return Ok(payload.to_vec()); @@ -124,7 +136,7 @@ pub(crate) fn filter_vector_hits( format: "msgpack".into(), detail: format!("vector search hits do not decode: {e}"), })?; - admit_hits(&mut hits, rls_filters, top_k); + admit_hits(&mut hits, rls_filters, top_k, crs); zerompk::to_msgpack_vec(&hits).map_err(|e| crate::Error::Serialization { format: "msgpack".into(), detail: format!("vector search hits do not encode: {e}"), @@ -159,7 +171,13 @@ pub async fn translate_vector_search_payload( detail: format!("vector search hits do not decode: {e}"), })?; - apply_rls_filter(&mut hits, cut.rls_filters, cut.top_k, cut.strip_bodies); + apply_rls_filter( + &mut hits, + cut.rls_filters, + cut.top_k, + cut.strip_bodies, + &crate::control::crs_context::crs_context_for(state), + ); let FlattenedHits { mut rows, unnamed } = flatten_hits(&hits)?; let keys = resolve_surrogate_pks( diff --git a/nodedb/src/control/server/shared/authorization/requirements.rs b/nodedb/src/control/server/shared/authorization/requirements.rs index f95b2f066..1f5e864dc 100644 --- a/nodedb/src/control/server/shared/authorization/requirements.rs +++ b/nodedb/src/control/server/shared/authorization/requirements.rs @@ -58,7 +58,7 @@ mod tests { nodedb_physical::physical_plan::DocumentPageSource { collection: QualifiedCollection::new(DatabaseId::DEFAULT, "source"), filters: Vec::new(), - system_as_of_ms: None, + system_time: nodedb_types::SystemTimeScope::Current, offset: 0, limit: None, column_map: Vec::new(), diff --git a/nodedb/src/control/server/shared/check_constraint/enforce.rs b/nodedb/src/control/server/shared/check_constraint/enforce.rs index ae2f2bff1..b83323af9 100644 --- a/nodedb/src/control/server/shared/check_constraint/enforce.rs +++ b/nodedb/src/control/server/shared/check_constraint/enforce.rs @@ -34,7 +34,11 @@ pub async fn enforce_check_constraints( if constraint.has_subquery { enforce_subquery_check(state, identity, database_id, constraint, fields).await?; } else { - enforce_simple_check(constraint, fields)?; + enforce_simple_check( + constraint, + fields, + &crate::control::crs_context::crs_context_for(state), + )?; } } diff --git a/nodedb/src/control/server/shared/check_constraint/simple.rs b/nodedb/src/control/server/shared/check_constraint/simple.rs index 8c169bbe7..027b1160d 100644 --- a/nodedb/src/control/server/shared/check_constraint/simple.rs +++ b/nodedb/src/control/server/shared/check_constraint/simple.rs @@ -16,6 +16,7 @@ use crate::control::server::shared::ddl::result::DdlError; pub(super) fn enforce_simple_check( constraint: &CheckConstraintDef, fields: &HashMap, + crs: &nodedb_crs::CrsContext<'_>, ) -> Result<(), DdlError> { // Strip NEW. prefixes to get bare column references. let bare_expr = strip_new_prefix(&constraint.check_sql); @@ -35,13 +36,12 @@ pub(super) fn enforce_simple_check( // Build a Value::Object from the fields for evaluation. let doc = nodedb_types::Value::Object(fields.clone()); - // Evaluate the expression against the document. A division/modulo-by-zero - // is neither a PASS nor an ordinary FAIL — it's an evaluation error, - // reported under SQLSTATE 22012 rather than folded - // into the 23514 (check_violation) the ordinary-failure arm below uses. - let result = expr.eval(&doc).map_err(|e| { + // Evaluate the expression against the document. An evaluation error is + // neither a PASS nor an ordinary FAIL. It keeps its own SQLSTATE rather + // than folding into the 23514 (check_violation) of the failure arm below. + let result = expr.eval(&doc, crs).map_err(|e| { ddl_err( - nodedb_types::error::sqlstate::DIVISION_BY_ZERO, + crate::control::server::shared::ddl::sqlstate::eval_error_sqlstate(&e), &format!( "CHECK constraint '{}' failed to evaluate: {}: {e}", constraint.name, constraint.check_sql diff --git a/nodedb/src/control/server/shared/clone_read/entry.rs b/nodedb/src/control/server/shared/clone_read/entry.rs index 22f3549c3..3c7c37e73 100644 --- a/nodedb/src/control/server/shared/clone_read/entry.rs +++ b/nodedb/src/control/server/shared/clone_read/entry.rs @@ -59,20 +59,9 @@ pub(in crate::control::server) async fn maybe_intercept_clone_read( roles, emitter, } = params; - // With `system_as_of_ms`, query_lsn is the highest LSN committed by that - // time, and a time before the oldest retained anchor is refused. Without - // it, query_lsn is the current WAL LSN. - let (query_lsn, query_ms) = if let Some(as_of_ms) = extract_system_as_of_ms(Some(&task.plan)) { - let lsn = state.ms_to_lsn(as_of_ms)?; - (lsn, Some(as_of_ms)) - } else { - let lsn = state.wal.next_lsn(); - let ms = state.ms_to_lsn_inverse(lsn); - (lsn, ms) - }; + // The resolver maps the `AS OF` time to an LSN only for a live clone. let resolve_params = CloneReadParams { - query_lsn, - query_ms, + as_of_ms: extract_system_as_of_ms(Some(&task.plan)), }; let Some(outcome) = resolve_read(state, task.clone(), tenant_id, &resolve_params).await? else { diff --git a/nodedb/src/control/server/shared/cluster_array_dispatch.rs b/nodedb/src/control/server/shared/cluster_array_dispatch.rs index 50da36f14..f96f98b5a 100644 --- a/nodedb/src/control/server/shared/cluster_array_dispatch.rs +++ b/nodedb/src/control/server/shared/cluster_array_dispatch.rs @@ -146,6 +146,7 @@ pub(crate) async fn execute_cluster_array( projection, Some(redaction.ctx(&state.redaction)), None, + &crate::control::crs_context::crs_set_for(state), )? { ShapeOutcome::Rows(shaped) => Ok(ClusterArrayShaped::Rows(shaped)), ShapeOutcome::Passthrough => match cluster_plan_kind { diff --git a/nodedb/src/control/server/shared/ddl/neutral/alert/create.rs b/nodedb/src/control/server/shared/ddl/neutral/alert/create.rs index a2e63bf55..311313662 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/alert/create.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/alert/create.rs @@ -101,6 +101,18 @@ pub async fn create_alert( // Parse NOTIFY targets. let notify_targets = parse_notify_targets_raw(notify_targets_raw)?; + // A webhook URL is user-supplied: it passes the `[egress]` policy here, and + // again before every send. + for target in ¬ify_targets { + if let NotifyTarget::Webhook { url } = target { + state.remote_sources.egress().check_url(url).map_err(|e| { + err( + "42501", + format!("NOTIFY WEBHOOK fails the [egress] policy: {e}"), + ) + })?; + } + } let now = std::time::SystemTime::now() .duration_since(std::time::UNIX_EPOCH) diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/decode.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/decode.rs index 13026540d..a28426725 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/decode.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/decode.rs @@ -230,6 +230,7 @@ fn parse_coord(text: &str, dtype: ArrayDimType) -> Option { fn parse_attr(text: &str, dtype: ArrayAttrType) -> Option { match dtype { ArrayAttrType::Int64 + | ArrayAttrType::Int8 | ArrayAttrType::UInt8 | ArrayAttrType::Int16 | ArrayAttrType::UInt16 @@ -396,11 +397,13 @@ mod tests { name: "b1".into(), dtype: ArrayAttrType::Float64, nullable: false, + meta: Default::default(), }, ArrayAttrAst { name: "label".into(), dtype: ArrayAttrType::String, nullable: true, + meta: Default::default(), }, ], tile_extents: vec![64], @@ -465,6 +468,7 @@ mod tests { name: name.into(), dtype, nullable: true, + meta: Default::default(), }; ArrayCatalogView { name: "scene".into(), diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/adopt.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/adopt.rs new file mode 100644 index 000000000..3c453906e --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/adopt.rs @@ -0,0 +1,64 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `ADOPT_METADATA true`: write the attr metadata the files declare into +//! the array schema before the first row loads. +//! +//! One catalog entry carries every attr's change, built from the committed +//! schema under the DDL preparation lease, as `ALTER ARRAY ... ALTER ATTR` +//! builds its own. Metadata sits outside the schema content, so +//! `schema_hash` and every segment stay valid. A value the attr type cannot +//! hold is refused (`22000`) before anything loads. The change is DDL, so a +//! COPY inside a transaction block cannot make it (`25001`). + +use nodedb_sql::types_array::ArrayAttrMetaAlter; + +use crate::control::array_catalog::ArrayCatalogEntry; +use crate::control::array_catalog::attr_meta::remeta_schema; +use crate::control::array_catalog::ddl::propose_array_entries; +use crate::control::array_catalog::schema_recode::check_same_content; +use crate::control::catalog_entry::CatalogEntry; +use crate::control::server::shared::ddl::result::DdlError; +use crate::control::trigger::statement_txn::in_block; + +use super::super::dispatch::ArrayLoadCtx; + +/// Apply `changes` to `array`'s attr metadata in one catalog entry. +pub(super) async fn adopt_attr_metadata( + ctx: &ArrayLoadCtx<'_>, + array: &str, + changes: &[ArrayAttrMetaAlter], +) -> Result<(), DdlError> { + if changes.is_empty() { + return Ok(()); + } + if in_block(ctx.txn_ctx) { + return Err(DdlError::new( + "25001", + format!( + "COPY {array}: ADOPT_METADATA changes the array schema; run the COPY outside a \ + transaction block" + ), + )); + } + let tenant_id = ctx.identity.tenant_id; + let database_id = ctx.database_id; + let statement = format!("COPY {array} WITH (ADOPT_METADATA true)"); + propose_array_entries(ctx.state, |catalog| { + let current = catalog + .get_array_in_database(tenant_id, database_id, array)? + .ok_or_else(|| crate::Error::PlanError { + detail: format!("{statement}: array not found"), + })?; + let mut schema = current.schema_msgpack.clone(); + for change in changes { + schema = remeta_schema(&statement, &schema, change)?; + } + check_same_content(&statement, ¤t.schema_msgpack, &schema)?; + Ok(vec![CatalogEntry::PutArray(Box::new(ArrayCatalogEntry { + schema_msgpack: schema, + ..current + }))]) + }) + .await + .map_err(DdlError::from) +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/bands.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/bands.rs deleted file mode 100644 index 4d71dfe85..000000000 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/bands.rs +++ /dev/null @@ -1,280 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! Which array attr each GeoTIFF band loads into, and the type rule. -//! -//! `BANDS (a, SKIP, b)` maps file bands in order: band 0 to `a`, band 1 -//! nowhere, band 2 to `b`. Without `BANDS`, band `i` loads into attr `i`. -//! A band loads only into an attr that holds every value of its sample type -//! exactly. An attr no band loads into must be nullable, and every cell -//! holds NULL there. - -use nodedb_raster::SampleType; -use nodedb_sql::catalog::ArrayCatalogView; -use nodedb_sql::ddl_ast::statement::CopyBand; -use nodedb_sql::types_array::ArrayAttrType; - -use super::super::decode::RowError; - -/// Where one attr's value comes from. -#[derive(Debug, Clone, PartialEq)] -pub(super) enum AttrSource { - /// No band loads into the attr. It is nullable. - Null, - /// File band `band` loads into the attr. - Band { - band: usize, - /// Whether the attr holds floats, so integer samples widen to `f64`. - float: bool, - nullable: bool, - name: String, - }, -} - -/// The attr sources in schema order, and the file bands that load. -#[derive(Debug)] -pub(super) struct BandMap { - pub attrs: Vec, - pub loaded: Vec, -} - -/// Map `band_count` file bands of `sample` onto the attrs of `view`. -pub(super) fn map_bands( - view: &ArrayCatalogView, - band_count: u16, - sample: SampleType, - bands: Option<&[CopyBand]>, -) -> Result { - let targets = band_targets(view, band_count, bands)?; - let mut attrs = vec![AttrSource::Null; view.attrs.len()]; - let mut loaded = Vec::with_capacity(targets.len()); - for (band, target) in targets.into_iter().enumerate() { - let Some(index) = target else { continue }; - let Some(attr) = view.attrs.get(index) else { - continue; - }; - if !widens(sample, attr.dtype) { - return Err(RowError::new( - 0, - "42804", - format!( - "band {} holds {sample} samples, which attr '{}' ({}) cannot hold exactly; \ - declare the attr as a type that widens {sample}", - band + 1, - attr.name, - attr.dtype.sql_name() - ), - )); - } - if let Some(slot) = attrs.get_mut(index) { - *slot = AttrSource::Band { - band, - float: attr.dtype.is_float(), - nullable: attr.nullable, - name: attr.name.clone(), - }; - } - loaded.push(band); - } - if loaded.is_empty() { - return Err(RowError::new( - 0, - "22023", - "no file band loads into an attr".to_string(), - )); - } - for (attr, source) in view.attrs.iter().zip(&attrs) { - if *source == AttrSource::Null && !attr.nullable { - return Err(RowError::new( - 0, - "23502", - format!( - "attr '{}' is NOT NULL, and no file band loads into it; map a band to it \ - with BANDS (...)", - attr.name - ), - )); - } - } - Ok(BandMap { attrs, loaded }) -} - -/// The attr index each file band loads into, `None` for a skipped band. -fn band_targets( - view: &ArrayCatalogView, - band_count: u16, - bands: Option<&[CopyBand]>, -) -> Result>, RowError> { - let count = usize::from(band_count); - let Some(bands) = bands else { - if count > view.attrs.len() { - return Err(RowError::new( - 0, - "22023", - format!( - "the file has {count} bands, array '{}' has {} attrs; \ - name each band's attr or SKIP with BANDS (...)", - view.name, - view.attrs.len() - ), - )); - } - return Ok((0..count).map(Some).collect()); - }; - if bands.len() != count { - return Err(RowError::new( - 0, - "22023", - format!( - "BANDS lists {} entries, the file has {count} bands; list one entry per band", - bands.len() - ), - )); - } - bands - .iter() - .map(|band| match band { - CopyBand::Skip => Ok(None), - CopyBand::Attr(name) => view - .attrs - .iter() - .position(|attr| attr.name.eq_ignore_ascii_case(name)) - .map(Some) - .ok_or_else(|| { - RowError::new( - 0, - "42703", - format!( - "BANDS names '{name}', which array '{}' has no attr", - view.name - ), - ) - }), - }) - .collect() -} - -/// Whether every `sample` value converts to `attr` without loss. -fn widens(sample: SampleType, attr: ArrayAttrType) -> bool { - use ArrayAttrType as A; - match sample { - SampleType::U8 => matches!( - attr, - A::UInt8 - | A::Int16 - | A::UInt16 - | A::Int32 - | A::UInt32 - | A::Int64 - | A::Float32 - | A::Float64 - ), - SampleType::U16 => matches!( - attr, - A::UInt16 | A::Int32 | A::UInt32 | A::Int64 | A::Float32 | A::Float64 - ), - SampleType::I16 => matches!( - attr, - A::Int16 | A::Int32 | A::Int64 | A::Float32 | A::Float64 - ), - SampleType::U32 => matches!(attr, A::UInt32 | A::Int64 | A::Float64), - SampleType::F32 => matches!(attr, A::Float32 | A::Float64), - SampleType::F64 => matches!(attr, A::Float64), - } -} - -#[cfg(test)] -mod tests { - use super::*; - use nodedb_sql::types_array::ArrayAttrAst; - - fn view(attrs: &[(&str, ArrayAttrType, bool)]) -> ArrayCatalogView { - ArrayCatalogView { - name: "scene".into(), - dims: Vec::new(), - attrs: attrs - .iter() - .map(|(name, dtype, nullable)| ArrayAttrAst { - name: (*name).into(), - dtype: *dtype, - nullable: *nullable, - }) - .collect(), - tile_extents: Vec::new(), - georef: None, - } - } - - #[test] - fn widening_is_lossless_only() { - use ArrayAttrType as A; - assert!(widens(SampleType::U8, A::UInt8)); - assert!(widens(SampleType::U16, A::Float32)); - assert!(!widens(SampleType::U16, A::Int16)); - assert!(!widens(SampleType::I16, A::UInt16)); - assert!(!widens(SampleType::U32, A::Float32)); - assert!(!widens(SampleType::F32, A::Int64)); - assert!(!widens(SampleType::F64, A::Float32)); - assert!(!widens(SampleType::U8, A::String)); - } - - #[test] - fn bands_load_in_order_without_a_list() { - let v = view(&[ - ("b1", ArrayAttrType::UInt16, false), - ("b2", ArrayAttrType::Float64, true), - ("extra", ArrayAttrType::Int64, true), - ]); - let map = map_bands(&v, 2, SampleType::U16, None).expect("maps"); - assert_eq!(map.loaded, vec![0, 1]); - assert!(matches!( - map.attrs[1], - AttrSource::Band { - band: 1, - float: true, - .. - } - )); - assert_eq!(map.attrs[2], AttrSource::Null); - } - - #[test] - fn a_band_list_skips_and_reorders() { - let v = view(&[ - ("red", ArrayAttrType::UInt16, true), - ("nir", ArrayAttrType::UInt16, true), - ]); - let list = [ - CopyBand::Attr("nir".into()), - CopyBand::Skip, - CopyBand::Attr("red".into()), - ]; - let map = map_bands(&v, 3, SampleType::U16, Some(&list)).expect("maps"); - assert_eq!(map.loaded, vec![0, 2]); - assert!(matches!(map.attrs[0], AttrSource::Band { band: 2, .. })); - assert!(matches!(map.attrs[1], AttrSource::Band { band: 0, .. })); - } - - #[test] - fn refusals_carry_their_sqlstate() { - let narrow = view(&[("b1", ArrayAttrType::UInt8, true)]); - let err = map_bands(&narrow, 1, SampleType::U16, None).expect_err("u16 into UINT8"); - assert_eq!(err.sqlstate, "42804"); - - let strict = view(&[ - ("b1", ArrayAttrType::UInt16, true), - ("qa", ArrayAttrType::UInt16, false), - ]); - let err = map_bands(&strict, 1, SampleType::U16, None).expect_err("qa unmapped"); - assert_eq!(err.sqlstate, "23502"); - - let one = view(&[("b1", ArrayAttrType::UInt16, true)]); - let err = map_bands(&one, 2, SampleType::U16, None).expect_err("2 bands, 1 attr"); - assert_eq!(err.sqlstate, "22023"); - let short = [CopyBand::Attr("b1".into())]; - let err = map_bands(&one, 2, SampleType::U16, Some(&short)).expect_err("short list"); - assert_eq!(err.sqlstate, "22023"); - let unknown = [CopyBand::Attr("b9".into())]; - let err = map_bands(&one, 1, SampleType::U16, Some(&unknown)).expect_err("no attr b9"); - assert_eq!(err.sqlstate, "42703"); - } -} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/array_view.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/array_view.rs new file mode 100644 index 000000000..82adc5c31 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/array_view.rs @@ -0,0 +1,199 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The catalog's array view in the plain form the load planner reads, and +//! the planner's rows and adopted metadata back in the catalog's form. + +use nodedb_raster::GeoTransform; +use nodedb_raster_load::{ + AdoptedMeta, ArrayView, AttrLiteral, AttrMeta, AttrType, CoordLiteral, DimType, DomainBound, + LoadRow, ViewAttr, ViewDim, ViewGeoref, +}; +use nodedb_sql::catalog::ArrayCatalogView; +use nodedb_sql::types_array::{ + ArrayAttrAst, ArrayAttrLiteral, ArrayAttrMetaAlter, ArrayAttrMetaAst, ArrayAttrMetaChange, + ArrayAttrType, ArrayCoordLiteral, ArrayDimAst, ArrayDimType, ArrayDomainBound, ArrayGeorefAst, + ArrayInsertRow, +}; + +/// The planner's view of `view`. +pub(crate) fn array_view(view: &ArrayCatalogView) -> ArrayView { + ArrayView { + name: view.name.clone(), + dims: view.dims.iter().map(view_dim).collect(), + attrs: view.attrs.iter().map(view_attr).collect(), + georef: view.georef.as_ref().map(view_georef), + } +} + +/// The planner's form of a georef. +pub(crate) fn view_georef(georef: &ArrayGeorefAst) -> ViewGeoref { + ViewGeoref { + srid: georef.srid, + x_dim: georef.x_dim.clone(), + y_dim: georef.y_dim.clone(), + transform: georef.transform.map(GeoTransform), + } +} + +/// A planner row as an array insert row. +pub(crate) fn insert_row(row: LoadRow) -> ArrayInsertRow { + ArrayInsertRow { + coords: row + .coords + .into_iter() + .map(|coord| match coord { + CoordLiteral::Int64(v) => ArrayCoordLiteral::Int64(v), + CoordLiteral::Float64(v) => ArrayCoordLiteral::Float64(v), + }) + .collect(), + attrs: row + .attrs + .into_iter() + .map(|attr| match attr { + AttrLiteral::Int64(v) => ArrayAttrLiteral::Int64(v), + AttrLiteral::Float64(v) => ArrayAttrLiteral::Float64(v), + AttrLiteral::Null => ArrayAttrLiteral::Null, + }) + .collect(), + } +} + +/// Adopted metadata as the `ALTER ATTR ... SET` it makes. +pub(crate) fn meta_alter(adopted: &AdoptedMeta) -> ArrayAttrMetaAlter { + let meta = &adopted.meta; + ArrayAttrMetaAlter { + attr: adopted.attr.clone(), + change: ArrayAttrMetaChange::Set(ArrayAttrMetaAst { + nodata: meta.nodata, + scale: meta.scale, + offset: meta.offset, + units: meta.units.clone(), + }), + } +} + +fn view_dim(dim: &ArrayDimAst) -> ViewDim { + ViewDim { + name: dim.name.clone(), + dtype: match dim.dtype { + ArrayDimType::Int64 => DimType::Int64, + ArrayDimType::Float64 => DimType::Float64, + ArrayDimType::TimestampMs => DimType::TimestampMs, + ArrayDimType::String => DimType::String, + }, + lo: bound(&dim.lo), + hi: bound(&dim.hi), + } +} + +fn bound(bound: &ArrayDomainBound) -> DomainBound { + match bound { + ArrayDomainBound::Int64(v) => DomainBound::Int64(*v), + ArrayDomainBound::Float64(v) => DomainBound::Float64(*v), + ArrayDomainBound::TimestampMs(v) => DomainBound::TimestampMs(*v), + ArrayDomainBound::String(v) => DomainBound::String(v.clone()), + } +} + +fn view_attr(attr: &ArrayAttrAst) -> ViewAttr { + ViewAttr { + name: attr.name.clone(), + dtype: attr_type(attr.dtype), + nullable: attr.nullable, + meta: AttrMeta { + nodata: attr.meta.nodata, + scale: attr.meta.scale, + offset: attr.meta.offset, + units: attr.meta.units.clone(), + }, + } +} + +fn attr_type(dtype: ArrayAttrType) -> AttrType { + match dtype { + ArrayAttrType::Int8 => AttrType::Int8, + ArrayAttrType::UInt8 => AttrType::UInt8, + ArrayAttrType::Int16 => AttrType::Int16, + ArrayAttrType::UInt16 => AttrType::UInt16, + ArrayAttrType::Int32 => AttrType::Int32, + ArrayAttrType::UInt32 => AttrType::UInt32, + ArrayAttrType::Int64 => AttrType::Int64, + ArrayAttrType::Float32 => AttrType::Float32, + ArrayAttrType::Float64 => AttrType::Float64, + ArrayAttrType::String => AttrType::String, + ArrayAttrType::Bytes => AttrType::Bytes, + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn the_view_and_rows_carry_over() { + let catalog = ArrayCatalogView { + name: "scene".into(), + dims: vec![ArrayDimAst { + name: "t".into(), + dtype: ArrayDimType::TimestampMs, + lo: ArrayDomainBound::TimestampMs(0), + hi: ArrayDomainBound::TimestampMs(9), + }], + attrs: vec![ArrayAttrAst { + name: "red".into(), + dtype: ArrayAttrType::UInt16, + nullable: true, + meta: ArrayAttrMetaAst { + nodata: Some(0.0), + ..Default::default() + }, + }], + tile_extents: vec![8], + georef: Some(ArrayGeorefAst { + srid: 32_647, + x_dim: "col".into(), + y_dim: "row".into(), + transform: Some([0.0, 1.0, 0.0, 0.0, 0.0, -1.0]), + }), + }; + let view = array_view(&catalog); + assert_eq!(view.dims[0].dtype, DimType::TimestampMs); + assert_eq!(view.dims[0].hi, DomainBound::TimestampMs(9)); + assert_eq!(view.attrs[0].dtype, AttrType::UInt16); + assert_eq!(view.attrs[0].meta.nodata, Some(0.0)); + let georef = view.georef.expect("georef"); + assert_eq!( + georef.transform, + Some(GeoTransform([0.0, 1.0, 0.0, 0.0, 0.0, -1.0])) + ); + + let row = insert_row(LoadRow { + coords: vec![CoordLiteral::Int64(3), CoordLiteral::Float64(1.5)], + attrs: vec![AttrLiteral::Int64(7), AttrLiteral::Null], + }); + assert_eq!( + row.coords, + vec![ArrayCoordLiteral::Int64(3), ArrayCoordLiteral::Float64(1.5)] + ); + assert_eq!( + row.attrs, + vec![ArrayAttrLiteral::Int64(7), ArrayAttrLiteral::Null] + ); + + let alter = meta_alter(&AdoptedMeta { + attr: "red".into(), + meta: AttrMeta { + scale: Some(2.0), + ..Default::default() + }, + }); + assert_eq!(alter.attr, "red"); + assert!(matches!( + alter.change, + ArrayAttrMetaChange::Set(ArrayAttrMetaAst { + scale: Some(2.0), + .. + }) + )); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/blocks.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/blocks.rs new file mode 100644 index 000000000..8f6a153b1 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/blocks.rs @@ -0,0 +1,236 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Read one block index from every source: fetch the ranges on the Control +//! Plane, decode on Tokio's blocking pool. +//! +//! The block ranges of every source merge where they lie close together, +//! so a block costs one request per source when its data and mask chunks +//! sit near each other. The producer reads block indexes in order into a +//! queue of [`BLOCK_QUEUE`], so a load holds at most that many decoded +//! block sets, one in decode and one in the load. + +use std::sync::Arc; + +use nodedb_raster::{ByteRange, COALESCE_GAP, RasterBlock, RasterReader, TiffReader, coalesce}; +use tokio::sync::mpsc; + +use super::super::fetch::{FetchError, RangeFetch}; +use super::error::DriveError; + +/// Decoded block sets queued between the producer and the load. +pub const BLOCK_QUEUE: usize = 2; + +/// One block index, read from every source in source order. +pub type BlockSet = Vec; + +/// Fetch `ranges`, merging close ones, and answer each range in order. An +/// empty range answers with no bytes and no fetch. +pub async fn fetch_ranges( + fetch: &F, + ranges: &[ByteRange], +) -> Result>>, FetchError> { + let merged = coalesce(ranges.to_vec(), COALESCE_GAP); + let answers = if merged.is_empty() { + Vec::new() + } else { + fetch.fetch(&merged).await? + }; + Ok(ranges + .iter() + .map(|range| { + if range.is_empty() { + return Some(Vec::new()); + } + let (outer, answer) = merged.iter().zip(&answers).find(|(outer, _)| { + outer.object == range.object && outer.start <= range.start && range.end <= outer.end + })?; + let bytes = answer.as_ref()?; + let from = usize::try_from(range.start - outer.start).unwrap_or(usize::MAX); + let to = usize::try_from(range.end - outer.start).unwrap_or(usize::MAX); + let (from, to) = (from.min(bytes.len()), to.min(bytes.len())); + Some(bytes.get(from..to.max(from)).unwrap_or_default().to_vec()) + }) + .collect()) +} + +/// Read block `index` from every reader: fetch, then decode on the blocking +/// pool. +pub async fn read_index( + readers: &Arc>, + fetch: &F, + index: u32, +) -> Result { + let mut counts = Vec::with_capacity(readers.len()); + let mut ranges = Vec::new(); + for (source, reader) in readers.iter().enumerate() { + let block = reader + .block_ranges(index) + .map_err(|error| DriveError::Raster { + index: source, + error, + })?; + counts.push(block.len()); + ranges.extend(block); + } + let bytes = fetch_ranges(fetch, &ranges).await?; + let readers = Arc::clone(readers); + tokio::task::spawn_blocking(move || decode_set(&readers, index, &counts, &bytes)) + .await + .map_err(|e| DriveError::Task(e.to_string()))? +} + +/// Decode block `index` of each reader from its share of `bytes`. +fn decode_set( + readers: &[TiffReader], + index: u32, + counts: &[usize], + bytes: &[Option>], +) -> Result { + let mut set = Vec::with_capacity(readers.len()); + let mut rest = bytes; + for (source, (reader, count)) in readers.iter().zip(counts).enumerate() { + let (mine, after) = rest.split_at((*count).min(rest.len())); + rest = after; + let borrowed: Vec> = mine.iter().map(Option::as_deref).collect(); + let block = reader + .decode_block(index, &borrowed) + .map_err(|error| DriveError::Raster { + index: source, + error, + })?; + set.push(block); + } + Ok(set) +} + +/// Read `indexes` in order into `tx`. Ends at the first error, after +/// sending it, or when the load drops its side. +pub async fn produce_blocks( + readers: Arc>, + fetch: Arc, + indexes: Vec, + tx: mpsc::Sender>, +) { + for index in indexes { + let read = read_index(&readers, &*fetch, index).await; + let failed = read.is_err(); + if tx.send(read).await.is_err() || failed { + return; + } + } +} + +#[cfg(test)] +mod tests { + use nodedb_raster::{RasterLimits, TiffOpener}; + use nodedb_raster_load::PixelWindow; + + use super::super::super::fetch::memory::MemoryFetch; + use super::super::open::open_sources; + use super::*; + + /// A 64x48 cloud-optimised GeoTIFF in 16x16 tiles with two overviews + /// and an internal mask. + const COG: &[u8] = include_bytes!(concat!( + env!("CARGO_MANIFEST_DIR"), + "/../nodedb-raster/tests/fixtures/cog-mask.tif" + )); + + const LIMITS: RasterLimits = RasterLimits::new(1 << 20); + + fn opener(object: u32) -> TiffOpener { + TiffOpener::new().with_object(nodedb_raster::ObjectId(object)) + } + + #[tokio::test] + async fn a_cog_opens_in_one_round() { + let fetch = MemoryFetch::new(vec![COG.to_vec(), COG.to_vec()]); + let readers = open_sources(&fetch, &[opener(0), opener(1)], LIMITS) + .await + .expect("opens"); + assert_eq!(readers.len(), 2); + let calls = fetch.calls(); + assert_eq!(calls.len(), 1, "one round"); + assert_eq!(calls[0].len(), 2, "one request per source"); + assert_eq!(readers[0].header().width, 64); + } + + #[tokio::test] + async fn a_window_fetches_only_its_tiles() { + let fetch = MemoryFetch::new(vec![COG.to_vec()]); + let readers = open_sources(&fetch, &[opener(0)], LIMITS) + .await + .expect("opens"); + let opened = fetch.calls().len(); + let window = PixelWindow { + col0: 16, + row0: 16, + col1: 32, + row1: 32, + }; + let reader = &readers[0]; + let wanted: Vec = (0..reader.block_count()) + .filter(|index| window.overlaps(&reader.block_window(*index).expect("window"))) + .collect(); + assert_eq!(wanted, vec![5], "one 16x16 tile of twelve"); + let expected = coalesce(reader.block_ranges(5).expect("ranges"), COALESCE_GAP); + let readers = Arc::new(readers); + let set = read_index(&readers, &fetch, 5).await.expect("reads"); + let calls = fetch.calls(); + assert_eq!(calls.len(), opened + 1); + assert_eq!(calls[opened], expected); + assert_eq!((set[0].window.col_off, set[0].window.row_off), (16, 16)); + } + + #[tokio::test] + async fn every_source_reads_the_same_block_in_lockstep() { + let fetch = MemoryFetch::new(vec![COG.to_vec(), COG.to_vec()]); + let readers = Arc::new( + open_sources(&fetch, &[opener(0), opener(1)], LIMITS) + .await + .expect("opens"), + ); + let set = read_index(&readers, &fetch, 3).await.expect("reads"); + assert_eq!(set.len(), 2); + assert_eq!(set[0].window, set[1].window); + assert_eq!(set[0].bands, set[1].bands); + assert_eq!(set[0].masks, set[1].masks); + let objects: Vec = fetch + .calls() + .last() + .expect("a block fetch") + .iter() + .map(|r| r.object.0) + .collect(); + assert!(objects.contains(&0) && objects.contains(&1), "{objects:?}"); + } + + #[test] + fn close_ranges_merge_and_slice_back() { + let r = |object, start, end| ByteRange::new(nodedb_raster::ObjectId(object), start, end); + let fetch = MemoryFetch::new(vec![(0u8..=255).collect()]); + let answers = futures::executor::block_on(fetch_ranges( + &fetch, + &[ + r(0, 10, 12), + r(0, 4, 4), + r(0, 2, 5), + r(0, 250, 300), + r(1, 0, 3), + ], + )) + .expect("reads"); + assert_eq!( + answers, + vec![ + Some(vec![10, 11]), + Some(vec![]), + Some(vec![2, 3, 4]), + Some(vec![250, 251, 252, 253, 254, 255]), + None + ] + ); + assert_eq!(fetch.calls().len(), 1); + assert_eq!(fetch.calls()[0].len(), 2, "object 0 merges into one range"); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/drive.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/drive.rs new file mode 100644 index 000000000..931a7c519 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/drive.rs @@ -0,0 +1,180 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `drive_raster`: the one async driver of a raster load, whatever the +//! transport. +//! +//! 1. Open every source in shared rounds ([`open_sources`]). +//! 2. Check that the sources share a grid and block layout, and run every +//! open-time check of the plan. A refused input commits no row. +//! 3. With `ADOPT_METADATA true`, write the files' attr metadata. +//! 4. A producer task reads the blocks the plan wants, one block index from +//! every source at a time, into a queue of two. The load turns each set +//! into rows, every source's bands in one row, and feeds the loader. +//! +//! Network reads run on the Control Plane's Tokio runtime and decoding on +//! its blocking pool. The Data Plane receives only the array writes. + +use std::sync::Arc; + +use nodedb_raster::{ObjectId, RasterLimits, RasterReader, TiffOpener}; +use nodedb_raster_load::{ + BlockRows, LayoutError, RasterPlan, SourceHeader, adopted_metadata, check_same_layout, +}; +use nodedb_sql::ddl_ast::statement::CopyRasterOptions; +use tokio::sync::mpsc; +use tokio::task::JoinHandle; + +use crate::control::server::shared::ddl::result::DdlError; + +use super::super::super::decode::RowError; +use super::super::super::dispatch::{ArrayLoadCtx, input_cap}; +use super::super::super::loader::{ArrayLoader, LoadInput}; +use super::super::adopt::adopt_attr_metadata; +use super::super::fetch::RangeFetch; +use super::super::refusal::{drive_refusal, raster_refusal}; +use super::array_view::{array_view, insert_row, meta_alter, view_georef}; +use super::blocks::{BLOCK_QUEUE, produce_blocks}; +use super::error::DriveError; +use super::load_options::load_options; +use super::open::open_sources; + +/// The most bytes one block decodes to, before the memory headroom cap. +const MAX_BLOCK_BYTES: usize = 64 * 1024 * 1024; + +/// Aborts the producer task when the load ends early. +struct AbortOnDrop(Option>); + +impl AbortOnDrop { + /// The task, which the guard no longer aborts. + fn take(&mut self) -> Option> { + self.0.take() + } +} + +impl Drop for AbortOnDrop { + fn drop(&mut self) { + if let Some(handle) = &self.0 { + handle.abort(); + } + } +} + +/// Load the sources `names` into `array`, reading object `i` as source `i` +/// through `fetch`. `opener` picks the image (full resolution or an +/// overview). Returns the number of rows loaded. +pub(crate) async fn drive_raster( + ctx: &ArrayLoadCtx<'_>, + array: &str, + names: &[String], + opener: TiffOpener, + fetch: Arc, + options: &CopyRasterOptions, +) -> Result { + let mut loader = ArrayLoader::open(ctx, array, LoadInput::Raster)?; + let georef = loader.view().georef.clone().ok_or_else(|| { + loader.refuse(RowError::new( + 0, + "55000", + format!( + "array '{array}' has no GEOREF, so no pixel has a cell; \ + add one with ALTER ARRAY {array} SET GEOREF (...)" + ), + )) + })?; + let cap = MAX_BLOCK_BYTES.min(input_cap(ctx.state)); + let limits = RasterLimits::new(cap); + let refuse = |loader: &ArrayLoader, e: DriveError| loader.refuse(drive_refusal(e, names, cap)); + + let openers: Vec = (0..names.len()) + .map(|i| opener.with_object(ObjectId(u32::try_from(i).unwrap_or(u32::MAX)))) + .collect(); + let readers = open_sources(&*fetch, &openers, limits) + .await + .map_err(|e| refuse(&loader, e))?; + let crs = crate::control::crs_context::crs_context_for(ctx.state); + let mut headers = Vec::with_capacity(readers.len()); + for (index, (reader, name)) in readers.iter().zip(names).enumerate() { + let srid = reader + .header() + .crs + .resolve(&crs) + .map_err(|error| refuse(&loader, DriveError::Raster { index, error }))?; + headers.push(SourceHeader::new( + name.clone(), + reader.header(), + srid.map(|s| s.code()), + )); + } + check_same_layout(&headers, &readers).map_err(|e| match e { + LayoutError::Mismatch(mismatch) => loader.refuse(mismatch.into()), + LayoutError::Reader(error) => loader.refuse(raster_refusal( + &error, + names.first().map_or("?", String::as_str), + cap, + )), + })?; + let view = array_view(loader.view()); + let plan = RasterPlan::new( + &view, + &view_georef(&georef), + &headers, + &load_options(options), + ) + .map_err(|e| loader.refuse(e.into()))?; + if options.adopt_metadata { + let changes: Vec<_> = adopted_metadata(&view, &plan, &headers) + .iter() + .map(meta_alter) + .collect(); + adopt_attr_metadata(ctx, array, &changes).await?; + } + + let indexes = wanted_blocks(&readers, &plan) + .map_err(|error| refuse(&loader, DriveError::Raster { index: 0, error }))?; + let readers = Arc::new(readers); + let (tx, mut rx) = mpsc::channel(BLOCK_QUEUE); + let mut producer = AbortOnDrop(Some(tokio::spawn(produce_blocks( + Arc::clone(&readers), + Arc::clone(&fetch), + indexes, + tx, + )))); + while let Some(next) = rx.recv().await { + let blocks = next.map_err(|e| refuse(&loader, e))?; + let rows = BlockRows::new(&plan, &blocks).map_err(|e| loader.refuse(e.into()))?; + loader + .feed_rows( + ctx, + rows.map(|row| { + row.map(|(row_no, row)| (row_no, insert_row(row))) + .map_err(RowError::from) + }), + ) + .await?; + } + // The channel closes once the producer returns. A panic closes it + // early, so the join result tells a whole input from a cut-short one. + if let Some(handle) = producer.take() { + handle + .await + .map_err(|e| DdlError::internal(format!("COPY: raster block reader failed: {e}")))?; + } + loader.finish(ctx).await +} + +/// The block indexes that hold a pixel the plan loads, in order. +fn wanted_blocks( + readers: &[R], + plan: &RasterPlan, +) -> Result, nodedb_raster::RasterError> { + let Some(first) = readers.first() else { + return Ok(Vec::new()); + }; + let mut indexes = Vec::new(); + for index in 0..first.block_count() { + if plan.wants_block(&first.block_window(index)?) { + indexes.push(index); + } + } + Ok(indexes) +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/error.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/error.rs new file mode 100644 index 000000000..fc4af1941 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/error.rs @@ -0,0 +1,20 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `DriveError`: why reading the sources of a raster load failed. + +use nodedb_raster::RasterError; + +use super::super::fetch::FetchError; + +/// A failed open or block read of a raster load. +#[derive(Debug, thiserror::Error)] +pub enum DriveError { + /// Source `index` (0-based, statement order) is malformed or uses a + /// feature the reader lacks. + #[error("source {}: {error}", index + 1)] + Raster { index: usize, error: RasterError }, + #[error(transparent)] + Fetch(#[from] FetchError), + #[error("raster decode task failed: {0}")] + Task(String), +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/load_options.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/load_options.rs new file mode 100644 index 000000000..77ff64cd4 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/load_options.rs @@ -0,0 +1,71 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! The statement's GeoTIFF options in the form the load planner reads. + +use nodedb_raster_load::{BandTarget, LoadOptions, PixelWindow}; +use nodedb_sql::ddl_ast::statement::{CopyBand, CopyRasterOptions}; + +/// The planning options `options` carries. The transport options +/// (`CREDENTIAL`, `REQUESTER_PAYS`, `OVERVIEW`) and `ADOPT_METADATA` stay +/// with the server. +pub(crate) fn load_options(options: &CopyRasterOptions) -> LoadOptions { + LoadOptions { + bands: options.bands.as_ref().map(|bands| { + bands + .iter() + .map(|band| match band { + CopyBand::Attr(name) => BandTarget::Attr(name.clone()), + CopyBand::Skip => BandTarget::Skip, + }) + .collect() + }), + nodata: options.nodata, + time_ms: options.time_ms, + window: options.window.map(|w| PixelWindow { + col0: w.x0, + row0: w.y0, + col1: w.x1, + row1: w.y1, + }), + } +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_sql::ddl_ast::statement::CopyWindow; + + #[test] + fn planning_options_carry_over() { + let options = CopyRasterOptions { + bands: Some(vec![CopyBand::Attr("red".into()), CopyBand::Skip]), + nodata: Some(-9999.0), + time_ms: Some(1_700_000_000_000), + window: Some(CopyWindow { + x0: 1, + y0: 2, + x1: 3, + y1: 4, + }), + ..Default::default() + }; + assert_eq!( + load_options(&options), + LoadOptions { + bands: Some(vec![BandTarget::Attr("red".into()), BandTarget::Skip]), + nodata: Some(-9999.0), + time_ms: Some(1_700_000_000_000), + window: Some(PixelWindow { + col0: 1, + row0: 2, + col1: 3, + row1: 4, + }), + } + ); + assert_eq!( + load_options(&CopyRasterOptions::default()), + LoadOptions::default() + ); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/mod.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/mod.rs new file mode 100644 index 000000000..e8a3f25eb --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/mod.rs @@ -0,0 +1,11 @@ +// SPDX-License-Identifier: BUSL-1.1 + +pub mod array_view; +pub mod blocks; +pub mod drive; +pub mod error; +pub mod load_options; +pub mod open; + +pub(crate) use drive::drive_raster; +pub use error::DriveError; diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/open.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/open.rs new file mode 100644 index 000000000..91808dd8f --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/driver/open.rs @@ -0,0 +1,81 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Open every source of a load in shared rounds. +//! +//! Each round asks every source still opening for the ranges it needs, +//! merges the ranges that lie close together, and fetches them in one +//! batch. A cloud-optimised GeoTIFF names every IFD in its first 64 KiB, so +//! a load of COGs opens in one round: one request per source. + +use nodedb_raster::{ + COALESCE_GAP, Lookup, Opened, RangeCache, RasterError, RasterLimits, RasterOpener, TiffOpener, + TiffReader, coalesce, +}; + +use super::super::fetch::RangeFetch; +use super::error::DriveError; + +/// Rounds before an open gives up. +const MAX_OPEN_ROUNDS: usize = 64; + +/// Open the sources `openers` name, one per object, under `limits`. +pub async fn open_sources( + fetch: &F, + openers: &[TiffOpener], + limits: RasterLimits, +) -> Result, DriveError> { + let mut caches: Vec = openers + .iter() + .map(|_| RangeCache::new(limits.header_bytes)) + .collect(); + let mut readers: Vec> = vec![None; openers.len()]; + for _ in 0..MAX_OPEN_ROUNDS { + let mut need = Vec::new(); + let slots = openers.iter().zip(&caches).zip(readers.iter_mut()); + for (index, ((opener, cache), slot)) in slots.enumerate() { + if slot.is_some() { + continue; + } + let opened = opener + .open(cache, limits) + .map_err(|error| DriveError::Raster { index, error })?; + match opened { + Opened::Ready(reader) => *slot = Some(reader), + Opened::Need(ranges) => need.extend( + ranges + .into_iter() + .filter(|range| matches!(cache.get(*range), Lookup::Missing)), + ), + } + } + if readers.iter().all(Option::is_some) { + return Ok(readers.into_iter().flatten().collect()); + } + if need.is_empty() { + let index = readers.iter().position(Option::is_none).unwrap_or(0); + return Err(stalled(index)); + } + let merged = coalesce(need, COALESCE_GAP); + let answers = fetch.fetch(&merged).await?; + for (range, bytes) in merged.into_iter().zip(answers) { + let index = range.object.0 as usize; + let Some(cache) = caches.get_mut(index) else { + continue; + }; + cache + .insert(range, bytes) + .map_err(|error| DriveError::Raster { index, error })?; + } + } + let index = readers.iter().position(Option::is_none).unwrap_or(0); + Err(stalled(index)) +} + +fn stalled(index: usize) -> DriveError { + DriveError::Raster { + index, + error: RasterError::OpenStalled { + rounds: MAX_OPEN_ROUNDS, + }, + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/error.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/error.rs new file mode 100644 index 000000000..ae2c2eef2 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/error.rs @@ -0,0 +1,96 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `FetchError`: why a byte-range fetch of a raster source failed, with +//! the SQLSTATE each failure reports. No variant carries a response body. + +use crate::control::security::egress::EgressError; + +/// A failed range fetch. +#[derive(Debug, thiserror::Error)] +pub enum FetchError { + #[error("'{source_name}': cannot read: {error}")] + Io { + source_name: String, + error: std::io::Error, + }, + #[error("'{source_name}' does not exist")] + NotFound { source_name: String }, + #[error("'{source_name}': refused by the egress policy: {error}")] + Egress { + source_name: String, + error: EgressError, + }, + #[error( + "'{source_name}': the server refused the request with HTTP {status}; check the CREDENTIAL" + )] + Unauthorized { source_name: String, status: u16 }, + #[error("'{source_name}' changed during the load ({what}); rerun the COPY to read one version")] + Changed { source_name: String, what: String }, + #[error( + "'{source_name}': the server ignored the byte range (HTTP {status}); a remote raster \ + needs a server that answers Range requests with 206" + )] + RangeIgnored { source_name: String, status: u16 }, + #[error("'{source_name}': HTTP {status}")] + Status { source_name: String, status: u16 }, + #[error("'{source_name}': {what}")] + Protocol { source_name: String, what: String }, + #[error("'{source_name}': the connection failed: {what}")] + Network { source_name: String, what: String }, + #[error("'{source_name}': {what}")] + Store { source_name: String, what: String }, + #[error("raster fetch task failed: {0}")] + Task(String), +} + +impl FetchError { + /// The SQLSTATE the failure reports. + pub fn sqlstate(&self) -> &'static str { + match self { + Self::Io { .. } | Self::NotFound { .. } | Self::Status { .. } | Self::Store { .. } => { + "58030" + } + Self::Egress { .. } => "42501", + Self::Unauthorized { .. } => "28000", + Self::Changed { .. } => "55000", + Self::RangeIgnored { .. } => "0A000", + Self::Protocol { .. } => "22P04", + Self::Network { .. } => "08006", + Self::Task(_) => "XX000", + } + } +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn each_failure_maps_to_its_sqlstate() { + let name = || "https://h.example/a.tif".to_string(); + assert_eq!( + FetchError::Changed { + source_name: name(), + what: "ETag".into() + } + .sqlstate(), + "55000" + ); + assert_eq!( + FetchError::RangeIgnored { + source_name: name(), + status: 200 + } + .sqlstate(), + "0A000" + ); + assert_eq!( + FetchError::Egress { + source_name: name(), + error: EgressError::IpLiteral + } + .sqlstate(), + "42501" + ); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/http.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/http.rs new file mode 100644 index 000000000..6f7208c56 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/http.rs @@ -0,0 +1,363 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `HttpRange`: byte-range reads of an `http(s)://` raster. +//! +//! Each range is one `GET` with a `Range` header. The answer must be `206` +//! with a `Content-Range` that starts where the range starts and names the +//! same total length every time. The first strong `ETag` is pinned and sent +//! as `If-Match` on every later request, so a file that changes mid-load +//! fails with `55000` instead of mixing two versions. A server that ignores +//! the range (`200`) is refused: the load reads ranges only. The client is +//! the egress client: every URL and redirect hop passes the egress policy, +//! and every resolved address is checked at connect time. +//! +//! Messages name the URL without its query, so a signature in the query +//! never reaches an error or a log line. + +use nodedb_raster::ByteRange; +use reqwest::StatusCode; +use reqwest::header::{CONTENT_RANGE, ETAG, IF_MATCH, RANGE}; +use zeroize::Zeroizing; + +use super::error::FetchError; +use super::pin::{ObjectVersion, PinnedObject}; +use super::traits::{RangeFetch, fetch_bounded}; +use crate::control::security::egress::{EgressFault, classify}; + +/// How a request authenticates. +pub enum HttpAuth { + None, + /// `Authorization: Bearer `. + Bearer(Zeroizing), + /// A shared access signature appended to the URL query. + Sas(Zeroizing), +} + +/// One remote object read with HTTP range requests. +pub struct HttpRange { + client: reqwest::Client, + url: reqwest::Url, + bearer: Option>, + name: String, + pinned: PinnedObject, +} + +impl HttpRange { + /// Read `url` with `client`, authenticating with `auth`. The caller + /// checked `url` against the egress policy. + pub fn new(client: reqwest::Client, url: reqwest::Url, auth: HttpAuth) -> Self { + let name = display_name(&url); + let (url, bearer) = match auth { + HttpAuth::None => (url, None), + HttpAuth::Bearer(token) => (url, Some(token)), + HttpAuth::Sas(token) => (with_sas(url, &token), None), + }; + Self { + client, + url, + bearer, + name, + pinned: PinnedObject::new(), + } + } + + /// The bytes of `range`, fewer where the object ends. + pub async fn fetch_one(&self, range: ByteRange) -> Result>, FetchError> { + if range.is_empty() { + return Ok(Some(Vec::new())); + } + let mut request = self + .client + .get(self.url.clone()) + .header(RANGE, format!("bytes={}-{}", range.start, range.end - 1)); + if let Some(etag) = self.pinned.etag() + && !etag.starts_with("W/") + { + request = request.header(IF_MATCH, etag); + } + if let Some(token) = &self.bearer { + request = request.bearer_auth(token.as_str()); + } + let response = request.send().await.map_err(|e| self.send_error(e))?; + let status = response.status(); + match status { + StatusCode::PARTIAL_CONTENT => self.read_partial(range, response).await.map(Some), + StatusCode::RANGE_NOT_SATISFIABLE => { + if let Some(total) = header_text(&response, CONTENT_RANGE) + .and_then(|v| v.strip_prefix("bytes */").and_then(|t| t.parse().ok())) + { + self.pinned.pin( + &self.name, + ObjectVersion { + size: total, + etag: self.pinned.etag().map(str::to_string), + }, + )?; + } + Ok(Some(Vec::new())) + } + StatusCode::PRECONDITION_FAILED => Err(self.changed("its ETag no longer matches")), + StatusCode::NOT_FOUND | StatusCode::GONE => Err(FetchError::NotFound { + source_name: self.name.clone(), + }), + StatusCode::UNAUTHORIZED | StatusCode::FORBIDDEN => Err(FetchError::Unauthorized { + source_name: self.name.clone(), + status: status.as_u16(), + }), + StatusCode::OK => Err(FetchError::RangeIgnored { + source_name: self.name.clone(), + status: status.as_u16(), + }), + other => Err(FetchError::Status { + source_name: self.name.clone(), + status: other.as_u16(), + }), + } + } + + /// The body of a `206` for `range`, checked against its + /// `Content-Range` and the pinned object. + async fn read_partial( + &self, + range: ByteRange, + mut response: reqwest::Response, + ) -> Result, FetchError> { + let content_range = header_text(&response, CONTENT_RANGE) + .ok_or_else(|| self.protocol("a 206 answer has no Content-Range"))?; + let (first, last, total) = parse_content_range(&content_range) + .ok_or_else(|| self.protocol("a 206 answer has a malformed Content-Range"))?; + if first != range.start || last >= range.end || last < first { + return Err(self.protocol(format!( + "asked for bytes {}-{}, the server sent {first}-{last}", + range.start, + range.end - 1 + ))); + } + let etag = header_text(&response, ETAG); + self.pinned + .pin(&self.name, ObjectVersion { size: total, etag })?; + let expected = usize::try_from(last - first + 1) + .map_err(|_| self.protocol("the answer exceeds the address space"))?; + let mut body = Vec::with_capacity(expected); + while let Some(chunk) = response.chunk().await.map_err(|e| self.send_error(e))? { + if body.len() + chunk.len() > expected { + return Err(self.protocol(format!( + "the server sent more than the {expected} bytes its Content-Range names" + ))); + } + body.extend_from_slice(&chunk); + } + if body.len() != expected { + return Err(self.protocol(format!( + "the server sent {} of the {expected} bytes its Content-Range names", + body.len() + ))); + } + Ok(body) + } + + fn changed(&self, what: &str) -> FetchError { + FetchError::Changed { + source_name: self.name.clone(), + what: what.to_string(), + } + } + + fn protocol(&self, what: impl Into) -> FetchError { + FetchError::Protocol { + source_name: self.name.clone(), + what: what.into(), + } + } + + /// The error of a failed send or body read, with the URL removed. + fn send_error(&self, error: reqwest::Error) -> FetchError { + let source_name = self.name.clone(); + match classify(&error) { + EgressFault::Refused(error) => FetchError::Egress { source_name, error }, + EgressFault::TooManyRedirects(max) => FetchError::Protocol { + source_name, + what: format!("more than {max} redirects"), + }, + EgressFault::Other => FetchError::Network { + source_name, + what: error.without_url().to_string(), + }, + } + } +} + +impl RangeFetch for HttpRange { + async fn fetch(&self, ranges: &[ByteRange]) -> Result>>, FetchError> { + fetch_bounded(ranges, |range| self.fetch_one(range)).await + } +} + +/// `bytes -/`. A `*` total is refused: the load pins +/// the total length. +fn parse_content_range(value: &str) -> Option<(u64, u64, u64)> { + let rest = value.trim().strip_prefix("bytes ")?; + let (span, total) = rest.split_once('/')?; + let (first, last) = span.split_once('-')?; + Some(( + first.trim().parse().ok()?, + last.trim().parse().ok()?, + total.trim().parse().ok()?, + )) +} + +fn header_text(response: &reqwest::Response, name: reqwest::header::HeaderName) -> Option { + response + .headers() + .get(name) + .and_then(|v| v.to_str().ok()) + .map(str::to_string) +} + +/// The URL without its query, fragment or user info. +pub(crate) fn display_name(url: &reqwest::Url) -> String { + let mut shown = url.clone(); + shown.set_query(None); + shown.set_fragment(None); + // Clearing user info fails only for a URL that cannot hold any. + let _cleared = shown.set_username("").and(shown.set_password(None)); + shown.to_string() +} + +/// `url` with the signature `token` appended to its query. +fn with_sas(mut url: reqwest::Url, token: &str) -> reqwest::Url { + let token = token.trim_start_matches('?'); + let query = match url.query() { + Some(existing) if !existing.is_empty() => format!("{existing}&{token}"), + Some(_) | None => token.to_string(), + }; + url.set_query(Some(&query)); + url +} + +#[cfg(test)] +mod tests { + use std::sync::Arc; + use std::sync::atomic::Ordering; + + use nodedb_raster::ObjectId; + + use super::super::test_server::{Mode, serve}; + use super::*; + use crate::control::security::egress::resolver::tests::table; + use crate::control::security::egress::{EgressClientOptions, EgressPolicy, egress_client}; + + const OBJECT: &[u8] = b"0123456789abcdefghij"; + + fn policy(hosts: &[&str], cidrs: &[&str]) -> Arc { + let hosts: Vec = hosts.iter().map(|h| (*h).to_string()).collect(); + let cidrs: Vec = cidrs.iter().map(|c| (*c).to_string()).collect(); + Arc::new(EgressPolicy::from_parts(true, &hosts, &cidrs).expect("valid policy")) + } + + fn client(policy: Arc, entries: &[(&str, &str)]) -> reqwest::Client { + egress_client( + policy, + table(entries), + EgressClientOptions { + timeout: Some(std::time::Duration::from_secs(10)), + connect_timeout: std::time::Duration::from_secs(5), + read_timeout: std::time::Duration::from_secs(5), + max_redirects: 3, + }, + ) + .expect("client") + } + + fn range(start: u64, end: u64) -> ByteRange { + ByteRange::new(ObjectId(0), start, end) + } + + fn local(host: &str, port: u16) -> HttpRange { + let url: reqwest::Url = format!("http://{host}:{port}/scene.tif?sig=secret") + .parse() + .expect("url"); + let client = client(policy(&[host], &["127.0.0.0/8"]), &[(host, "127.0.0.1")]); + HttpRange::new(client, url, HttpAuth::None) + } + + #[tokio::test] + async fn ranges_read_with_the_first_etag_pinned() { + let (addr, served) = serve(OBJECT.to_vec(), Mode::Ranges).await; + let http = local("raster.test", addr.port()); + let got = http + .fetch(&[range(0, 4), range(18, 40)]) + .await + .expect("reads"); + assert_eq!(got, vec![Some(b"0123".to_vec()), Some(b"ij".to_vec())]); + let got = http.fetch(&[range(25, 30)]).await.expect("past the end"); + assert_eq!(got, vec![Some(Vec::new())]); + let again = http.fetch(&[range(4, 6)]).await.expect("pinned read"); + assert_eq!(again, vec![Some(b"45".to_vec())]); + assert!(served.if_match_seen.load(Ordering::SeqCst) >= 1); + } + + #[tokio::test] + async fn an_object_that_changes_mid_load_fails_55000() { + let (addr, served) = serve(OBJECT.to_vec(), Mode::Ranges).await; + let http = local("raster.test", addr.port()); + http.fetch(&[range(0, 4)]) + .await + .expect("first read pins v1"); + served.replace(b"another version of it".to_vec(), "\"v2\""); + let err = http.fetch(&[range(4, 8)]).await.expect_err("v2 is refused"); + assert_eq!(err.sqlstate(), "55000", "{err}"); + assert!(!err.to_string().contains("secret"), "{err}"); + } + + #[tokio::test] + async fn a_server_that_ignores_ranges_is_refused() { + let (addr, _served) = serve(OBJECT.to_vec(), Mode::IgnoreRange).await; + let http = local("raster.test", addr.port()); + let err = http + .fetch(&[range(0, 4)]) + .await + .expect_err("200 is refused"); + assert_eq!(err.sqlstate(), "0A000", "{err}"); + } + + #[tokio::test] + async fn a_rebound_name_never_reaches_the_private_address() { + let (addr, served) = serve(OBJECT.to_vec(), Mode::Ranges).await; + // http is allowed for the host, but no CIDR admits loopback. + let client = client( + policy(&["rebind.test"], &[]), + &[("rebind.test", "127.0.0.1")], + ); + let url = format!("http://rebind.test:{}/scene.tif", addr.port()) + .parse() + .expect("url"); + let http = HttpRange::new(client, url, HttpAuth::None); + let err = http.fetch(&[range(0, 4)]).await.expect_err("refused"); + assert_eq!(err.sqlstate(), "42501", "{err}"); + assert_eq!(served.requests.load(Ordering::SeqCst), 0); + } + + #[tokio::test] + async fn a_redirect_to_an_ip_literal_is_refused() { + let (addr, served) = serve(OBJECT.to_vec(), Mode::Redirect).await; + *served.location.lock().unwrap_or_else(|p| p.into_inner()) = + format!("http://127.0.0.1:{}/scene.tif", addr.port()); + let http = local("raster.test", addr.port()); + let err = http.fetch(&[range(0, 4)]).await.expect_err("hop refused"); + assert_eq!(err.sqlstate(), "42501", "{err}"); + assert_eq!(served.requests.load(Ordering::SeqCst), 1); + } + + #[test] + fn a_sas_signature_joins_the_query_and_never_the_name() { + let url: reqwest::Url = "https://acct.blob.example/c/a.tif?x=1" + .parse() + .expect("url"); + assert_eq!(display_name(&url), "https://acct.blob.example/c/a.tif"); + let signed = with_sas(url, "?sv=1&sig=abc"); + assert_eq!(signed.query(), Some("x=1&sv=1&sig=abc")); + assert_eq!(parse_content_range("bytes 0-3/20"), Some((0, 3, 20))); + assert_eq!(parse_content_range("bytes 0-3/*"), None); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/local.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/local.rs new file mode 100644 index 000000000..c48cffd8c --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/local.rs @@ -0,0 +1,91 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `LocalFile`: positional reads of a server file through the handle every +//! open-time check ran on. The caller checks the superuser privilege and +//! the path before it opens the file. + +use std::os::unix::fs::FileExt as _; +use std::sync::Arc; + +use nodedb_raster::ByteRange; + +use super::error::FetchError; +use super::traits::{RangeFetch, fetch_bounded}; + +/// One server file, read with `pread` on Tokio's blocking pool. +pub struct LocalFile { + file: Arc, + name: String, +} + +impl LocalFile { + /// Read `file`, named `name` in messages. + pub fn new(file: std::fs::File, name: impl Into) -> Self { + Self { + file: Arc::new(file), + name: name.into(), + } + } + + /// The bytes of `range`, fewer at the end of the file. + pub async fn fetch_one(&self, range: ByteRange) -> Result>, FetchError> { + let len = usize::try_from(range.len()).map_err(|_| FetchError::Protocol { + source_name: self.name.clone(), + what: format!( + "byte range {}..{} exceeds the address space", + range.start, range.end + ), + })?; + let file = Arc::clone(&self.file); + let read = tokio::task::spawn_blocking(move || pread_range(&file, range.start, len)) + .await + .map_err(|e| FetchError::Task(e.to_string()))?; + read.map(Some).map_err(|error| FetchError::Io { + source_name: self.name.clone(), + error, + }) + } +} + +/// Read `len` bytes at `start`, fewer at the end of the file. +fn pread_range(file: &std::fs::File, start: u64, len: usize) -> std::io::Result> { + let mut buf = vec![0u8; len]; + let mut filled = 0usize; + while filled < len { + let at = start.saturating_add(filled as u64); + match file.read_at(&mut buf[filled..], at) { + Ok(0) => break, + Ok(n) => filled += n, + Err(e) if e.kind() == std::io::ErrorKind::Interrupted => {} + Err(e) => return Err(e), + } + } + buf.truncate(filled); + Ok(buf) +} + +impl RangeFetch for LocalFile { + async fn fetch(&self, ranges: &[ByteRange]) -> Result>>, FetchError> { + fetch_bounded(ranges, |range| self.fetch_one(range)).await + } +} + +#[cfg(test)] +mod tests { + use super::*; + use nodedb_raster::ObjectId; + + #[tokio::test] + async fn reads_clip_at_the_end_of_the_file() { + let dir = tempfile::tempdir().expect("tempdir"); + let path = dir.path().join("a.bin"); + std::fs::write(&path, [1u8, 2, 3, 4, 5]).expect("write"); + let local = LocalFile::new(std::fs::File::open(&path).expect("open"), "a.bin"); + let r = |start, end| ByteRange::new(ObjectId(0), start, end); + let got = local + .fetch(&[r(1, 3), r(3, 9), r(7, 9)]) + .await + .expect("reads"); + assert_eq!(got, vec![Some(vec![2, 3]), Some(vec![4, 5]), Some(vec![])]); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/memory.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/memory.rs new file mode 100644 index 000000000..0f8eb65ad --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/memory.rs @@ -0,0 +1,57 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! An in-memory `RangeFetch` that counts what a driver asks for. + +use std::sync::Mutex; + +use nodedb_raster::ByteRange; + +use super::error::FetchError; +use super::traits::RangeFetch; + +/// Objects held in memory. Every `fetch` call and every range it asked for +/// is recorded. +pub struct MemoryFetch { + objects: Vec>, + calls: Mutex>>, +} + +impl MemoryFetch { + /// `objects[i]` is object `i`. + pub fn new(objects: Vec>) -> Self { + Self { + objects, + calls: Mutex::new(Vec::new()), + } + } + + /// The ranges of each `fetch` call so far, in call order. + pub fn calls(&self) -> Vec> { + self.calls + .lock() + .unwrap_or_else(|poisoned| poisoned.into_inner()) + .clone() + } +} + +impl RangeFetch for MemoryFetch { + async fn fetch(&self, ranges: &[ByteRange]) -> Result>>, FetchError> { + self.calls + .lock() + .unwrap_or_else(|poisoned| poisoned.into_inner()) + .push(ranges.to_vec()); + Ok(ranges + .iter() + .map(|range| { + self.objects.get(range.object.0 as usize).map(|bytes| { + let len = bytes.len() as u64; + let (start, end) = (range.start.min(len), range.end.min(len)); + bytes + .get(start as usize..end.max(start) as usize) + .unwrap_or_default() + .to_vec() + }) + }) + .collect()) + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/mod.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/mod.rs new file mode 100644 index 000000000..15ce5cd11 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/mod.rs @@ -0,0 +1,21 @@ +// SPDX-License-Identifier: BUSL-1.1 + +pub mod error; +pub mod http; +pub mod local; +#[cfg(test)] +pub mod memory; +pub mod pin; +pub mod sources; +pub mod store; +#[cfg(test)] +pub mod test_server; +pub mod traits; + +pub use error::FetchError; +pub use http::{HttpAuth, HttpRange}; +pub use local::LocalFile; +pub use pin::{ObjectVersion, PinnedObject}; +pub use sources::{SourceFetch, SourceSet}; +pub use store::{ObjectStoreRange, S3Keys, S3Target, bucket_region}; +pub use traits::{MAX_IN_FLIGHT, RangeFetch, fetch_bounded}; diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/pin.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/pin.rs new file mode 100644 index 000000000..95ae6e85a --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/pin.rs @@ -0,0 +1,94 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `PinnedObject`: the version of one remote object a load reads. The first +//! answer pins the object's size and ETag. Every later answer must match, +//! so an object that changes mid-load fails with `55000` instead of mixing +//! two versions. + +use std::sync::OnceLock; + +use super::error::FetchError; + +/// The size and ETag one answer reports for an object. +#[derive(Debug, Clone, PartialEq, Eq)] +pub struct ObjectVersion { + pub size: u64, + pub etag: Option, +} + +/// The version of one object, pinned by the first answer. +#[derive(Debug, Default)] +pub struct PinnedObject { + pinned: OnceLock, +} + +impl PinnedObject { + /// Nothing pinned yet. + pub fn new() -> Self { + Self::default() + } + + /// The pinned version, once an answer pinned it. + pub fn get(&self) -> Option<&ObjectVersion> { + self.pinned.get() + } + + /// The pinned size, once an answer pinned it. + pub fn size(&self) -> Option { + self.get().map(|v| v.size) + } + + /// The pinned ETag, once an answer that carries one pinned it. + pub fn etag(&self) -> Option<&str> { + self.get().and_then(|v| v.etag.as_deref()) + } + + /// Pin `seen` when nothing is pinned, or check it against the pinned + /// version. An answer without an ETag matches any ETag. + pub fn pin(&self, source_name: &str, seen: ObjectVersion) -> Result<(), FetchError> { + let pinned = self.pinned.get_or_init(|| seen.clone()); + let what = if pinned.size != seen.size { + format!("its size went from {} to {} bytes", pinned.size, seen.size) + } else { + match (&pinned.etag, &seen.etag) { + (Some(a), Some(b)) if a != b => "its ETag changed".to_string(), + _ => return Ok(()), + } + }; + Err(FetchError::Changed { + source_name: source_name.to_string(), + what, + }) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn version(size: u64, etag: Option<&str>) -> ObjectVersion { + ObjectVersion { + size, + etag: etag.map(str::to_string), + } + } + + #[test] + fn the_first_answer_pins_and_later_answers_must_match() { + let pin = PinnedObject::new(); + assert_eq!(pin.size(), None); + pin.pin("s", version(20, Some("\"v1\""))) + .expect("first pins"); + assert_eq!(pin.size(), Some(20)); + assert_eq!(pin.etag(), Some("\"v1\"")); + pin.pin("s", version(20, Some("\"v1\""))) + .expect("same version"); + pin.pin("s", version(20, None)) + .expect("no ETag matches any"); + let size = pin.pin("s", version(21, Some("\"v1\""))).expect_err("size"); + assert_eq!(size.sqlstate(), "55000"); + assert!(size.to_string().contains("20 to 21"), "{size}"); + let etag = pin.pin("s", version(20, Some("\"v2\""))).expect_err("ETag"); + assert!(etag.to_string().contains("ETag changed"), "{etag}"); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/sources.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/sources.rs new file mode 100644 index 000000000..354b8c809 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/sources.rs @@ -0,0 +1,55 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `SourceSet`: the sources of one load, one transport per object. Source +//! `i` of the statement is object `i` of every range the readers name. + +use nodedb_raster::ByteRange; + +use super::error::FetchError; +use super::http::HttpRange; +use super::local::LocalFile; +use super::store::ObjectStoreRange; +use super::traits::{RangeFetch, fetch_bounded}; + +/// The transport of one source. +pub enum SourceFetch { + Local(LocalFile), + Http(HttpRange), + Store(ObjectStoreRange), +} + +impl SourceFetch { + async fn fetch_one(&self, range: ByteRange) -> Result>, FetchError> { + match self { + Self::Local(local) => local.fetch_one(range).await, + Self::Http(http) => http.fetch_one(range).await, + Self::Store(store) => store.fetch_one(range).await, + } + } +} + +/// Every source of one load. +pub struct SourceSet { + sources: Vec, +} + +impl SourceSet { + /// `sources`, in statement order. + pub fn new(sources: Vec) -> Self { + Self { sources } + } + + async fn route(&self, range: ByteRange) -> Result>, FetchError> { + // A range of an object no source holds names a missing object. + match self.sources.get(range.object.0 as usize) { + Some(source) => source.fetch_one(range).await, + None => Ok(None), + } + } +} + +impl RangeFetch for SourceSet { + async fn fetch(&self, ranges: &[ByteRange]) -> Result>>, FetchError> { + fetch_bounded(ranges, |range| self.route(range)).await + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/store.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/store.rs new file mode 100644 index 000000000..7301b6bcb --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/store.rs @@ -0,0 +1,315 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `ObjectStoreRange`: byte-range reads of an `s3://bucket/key` raster. +//! +//! Each range is one ranged `GET`. The first answer pins the object's size +//! and ETag, and every later request sends the ETag as `If-Match`, so an +//! object that changes mid-load fails with `55000`. Requests go through the +//! egress client, so every host passes the egress policy at connect time. +//! The endpoint of an S3-compatible store passes the egress policy again at +//! COPY time, so a policy narrowed after `CREATE CREDENTIAL` holds. A +//! requester-pays bucket bills the credential's account when the COPY sets +//! `REQUESTER_PAYS true`. + +use std::sync::Arc; + +use nodedb_raster::ByteRange; +use object_store::aws::{AmazonS3, AmazonS3Builder}; +use object_store::client::{HttpClient, HttpConnector}; +use object_store::path::Path; +use object_store::{ClientOptions, GetOptions, GetRange, ObjectStore as _}; +use zeroize::Zeroizing; + +use super::error::FetchError; +use super::pin::{ObjectVersion, PinnedObject}; +use super::traits::{RangeFetch, fetch_bounded}; +use crate::control::security::egress::{EgressError, EgressPolicy}; + +/// AWS keys of a signed S3 read. +pub struct S3Keys { + pub access_key_id: Zeroizing, + pub secret_access_key: Zeroizing, + pub session_token: Option>, +} + +/// Where and how an S3 source is read. +pub struct S3Target { + pub bucket: String, + pub key: String, + pub region: String, + /// An S3-compatible endpoint in place of AWS. + pub endpoint: Option, + /// `None` reads a public bucket unsigned. + pub keys: Option, + pub requester_pays: bool, +} + +/// The connector that hands object_store the egress client. +#[derive(Debug)] +struct EgressConnector(reqwest::Client); + +impl HttpConnector for EgressConnector { + fn connect(&self, _options: &ClientOptions) -> object_store::Result { + Ok(HttpClient::new(self.0.clone())) + } +} + +/// One S3 object read with ranged `GET`s. +pub struct ObjectStoreRange { + store: Arc, + path: Path, + name: String, + pinned: PinnedObject, +} + +impl ObjectStoreRange { + /// Read `target` through `client`, the egress client built on `policy`. + pub fn new( + client: reqwest::Client, + target: S3Target, + policy: &EgressPolicy, + ) -> Result { + let name = format!("s3://{}/{}", target.bucket, target.key); + let store_error = |what: String| FetchError::Store { + source_name: name.clone(), + what, + }; + let path = Path::parse(&target.key) + .map_err(|e| store_error(format!("the key is not a valid object path: {e}")))?; + let mut builder = AmazonS3Builder::new() + .with_bucket_name(&target.bucket) + .with_region(&target.region) + .with_http_connector(EgressConnector(client)) + .with_request_payer(target.requester_pays); + if let Some(endpoint) = &target.endpoint { + let egress = |error: EgressError| FetchError::Egress { + source_name: name.clone(), + error, + }; + let url = reqwest::Url::parse(endpoint).map_err(|_| egress(EgressError::Malformed))?; + policy.check_parsed(&url).map_err(egress)?; + // The policy admits http only for an allow-listed host. + builder = builder + .with_endpoint(endpoint) + .with_allow_http(url.scheme() == "http"); + } + builder = match &target.keys { + Some(keys) => { + let signed = builder + .with_access_key_id(keys.access_key_id.as_str()) + .with_secret_access_key(keys.secret_access_key.as_str()); + match &keys.session_token { + Some(token) => signed.with_token(token.as_str()), + None => signed, + } + } + None => builder.with_skip_signature(true), + }; + let store = builder + .build() + .map_err(|e| store_error(format!("cannot configure the S3 client: {e}")))?; + Ok(Self { + store: Arc::new(store), + path, + name, + pinned: PinnedObject::new(), + }) + } + + /// The bytes of `range`, fewer where the object ends. + pub async fn fetch_one(&self, range: ByteRange) -> Result>, FetchError> { + if range.is_empty() { + return Ok(Some(Vec::new())); + } + if let Some(size) = self.pinned.size() + && range.start >= size + { + return Ok(Some(Vec::new())); + } + let options = GetOptions { + if_match: self.pinned.etag().map(str::to_string), + range: Some(GetRange::Bounded(range.start..range.end)), + ..GetOptions::default() + }; + let result = self + .store + .get_opts(&self.path, options) + .await + .map_err(|e| self.get_error(e))?; + self.pinned.pin( + &self.name, + ObjectVersion { + size: result.meta.size, + etag: result.meta.e_tag.clone(), + }, + )?; + let bytes = result.bytes().await.map_err(|e| self.get_error(e))?; + if bytes.len() as u64 > range.len() { + return Err(FetchError::Protocol { + source_name: self.name.clone(), + what: format!( + "asked for {} bytes, the store sent {}", + range.len(), + bytes.len() + ), + }); + } + Ok(Some(bytes.to_vec())) + } + + fn get_error(&self, error: object_store::Error) -> FetchError { + let source_name = self.name.clone(); + match error { + object_store::Error::NotFound { .. } if self.pinned.get().is_some() => { + FetchError::Changed { + source_name, + what: "it was removed".into(), + } + } + object_store::Error::NotFound { .. } => FetchError::NotFound { source_name }, + object_store::Error::Precondition { .. } => FetchError::Changed { + source_name, + what: "its ETag no longer matches".into(), + }, + object_store::Error::PermissionDenied { .. } => FetchError::Unauthorized { + source_name, + status: 403, + }, + object_store::Error::Unauthenticated { .. } => FetchError::Unauthorized { + source_name, + status: 401, + }, + // The enum is non-exhaustive: every other failure is a store error. + other => FetchError::Store { + source_name, + what: other.to_string(), + }, + } + } +} + +impl RangeFetch for ObjectStoreRange { + async fn fetch(&self, ranges: &[ByteRange]) -> Result>>, FetchError> { + fetch_bounded(ranges, |range| self.fetch_one(range)).await + } +} + +/// The region of public `bucket`: AWS names it in the +/// `x-amz-bucket-region` header of a `HEAD` on the bucket. +pub async fn bucket_region(client: &reqwest::Client, bucket: &str) -> Result { + let name = format!("s3://{bucket}"); + let url = format!("https://{bucket}.s3.amazonaws.com/"); + let response = client + .head(&url) + .send() + .await + .map_err(|e| FetchError::Network { + source_name: name.clone(), + what: e.without_url().to_string(), + })?; + response + .headers() + .get("x-amz-bucket-region") + .and_then(|v| v.to_str().ok()) + .map(str::to_string) + .ok_or_else(|| FetchError::Store { + source_name: name, + what: format!( + "the bucket region is unknown (HTTP {}); name it with a CREDENTIAL of TYPE 's3' \ + and its REGION", + response.status().as_u16() + ), + }) +} + +#[cfg(test)] +mod tests { + use std::sync::atomic::Ordering; + + use nodedb_raster::ObjectId; + + use super::super::test_server::{Mode, serve}; + use super::*; + use crate::control::security::egress::resolver::tests::table; + use crate::control::security::egress::{EgressClientOptions, egress_client}; + + const OBJECT: &[u8] = b"0123456789abcdefghij"; + + fn http_policy() -> Arc { + Arc::new( + EgressPolicy::from_parts(true, &["s3.test".into()], &["127.0.0.0/8".into()]) + .expect("valid policy"), + ) + } + + fn client(policy: Arc) -> reqwest::Client { + egress_client( + policy, + table(&[("s3.test", "127.0.0.1")]), + EgressClientOptions { + timeout: Some(std::time::Duration::from_secs(10)), + connect_timeout: std::time::Duration::from_secs(5), + read_timeout: std::time::Duration::from_secs(5), + max_redirects: 0, + }, + ) + .expect("client") + } + + fn target(endpoint: String) -> S3Target { + S3Target { + bucket: "bucket".into(), + key: "scene.tif".into(), + region: "us-east-1".into(), + endpoint: Some(endpoint), + keys: None, + requester_pays: false, + } + } + + fn range(start: u64, end: u64) -> ByteRange { + ByteRange::new(ObjectId(0), start, end) + } + + #[tokio::test] + async fn an_allow_listed_http_endpoint_reads_and_pins_the_object() { + let (addr, served) = serve(OBJECT.to_vec(), Mode::Ranges).await; + let policy = http_policy(); + let store = ObjectStoreRange::new( + client(Arc::clone(&policy)), + target(format!("http://s3.test:{}", addr.port())), + &policy, + ) + .expect("an allow-listed http endpoint"); + let got = store.fetch(&[range(0, 4)]).await.expect("reads"); + assert_eq!(got, vec![Some(b"0123".to_vec())]); + let past = store.fetch(&[range(25, 30)]).await.expect("past the end"); + assert_eq!(past, vec![Some(Vec::new())]); + served.replace(b"another version of it".to_vec(), "\"v2\""); + let err = store + .fetch(&[range(4, 8)]) + .await + .expect_err("v2 is refused"); + assert_eq!(err.sqlstate(), "55000", "{err}"); + assert!(served.if_match_seen.load(Ordering::SeqCst) >= 1); + } + + #[tokio::test] + async fn an_endpoint_the_policy_refuses_at_copy_time_sends_nothing() { + let (addr, served) = serve(OBJECT.to_vec(), Mode::Ranges).await; + // The credential's endpoint passed a policy that allowed http; the + // policy at COPY time does not. + let strict = Arc::new(EgressPolicy::strict()); + for endpoint in [ + format!("http://s3.test:{}", addr.port()), + format!("https://127.0.0.1:{}", addr.port()), + "not a url".to_string(), + ] { + let err = ObjectStoreRange::new(client(Arc::clone(&strict)), target(endpoint), &strict) + .err() + .expect("refused"); + assert_eq!(err.sqlstate(), "42501", "{err}"); + } + assert_eq!(served.requests.load(Ordering::SeqCst), 0); + } +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/test_server.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/test_server.rs new file mode 100644 index 000000000..375e1465d --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/test_server.rs @@ -0,0 +1,131 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! A local HTTP server for range-fetch tests: it serves one object with +//! byte ranges and a strong ETag, or ignores ranges, or redirects. + +use std::net::SocketAddr; +use std::sync::atomic::{AtomicUsize, Ordering}; +use std::sync::{Arc, Mutex}; + +use axum::Router; +use axum::extract::State; +use axum::http::{HeaderMap, StatusCode, header}; +use axum::response::{IntoResponse, Response}; +use axum::routing::get; + +/// How the server answers. +#[derive(Clone, Copy, PartialEq, Eq)] +pub enum Mode { + /// `206` with `Content-Range` and `ETag`, honouring `If-Match`. + Ranges, + /// `200` with the whole object, whatever the `Range`. + IgnoreRange, + /// `302` to `Location`. + Redirect, +} + +/// The served object and what the server saw. +pub struct Served { + pub body: Mutex>, + pub etag: Mutex, + pub requests: AtomicUsize, + pub if_match_seen: AtomicUsize, + pub mode: Mode, + pub location: Mutex, +} + +impl Served { + /// Replace the object and its ETag, as an upload mid-load does. + pub fn replace(&self, body: Vec, etag: &str) { + *self.body.lock().unwrap_or_else(|p| p.into_inner()) = body; + *self.etag.lock().unwrap_or_else(|p| p.into_inner()) = etag.to_string(); + } +} + +/// Serve `body` at `/scene.tif`, and at `/bucket/scene.tif` for a path-style +/// S3 read, on a free loopback port. +pub async fn serve(body: Vec, mode: Mode) -> (SocketAddr, Arc) { + let served = Arc::new(Served { + body: Mutex::new(body), + etag: Mutex::new("\"v1\"".to_string()), + requests: AtomicUsize::new(0), + if_match_seen: AtomicUsize::new(0), + mode, + location: Mutex::new(String::new()), + }); + let app = Router::new() + .route("/scene.tif", get(answer)) + .route("/bucket/scene.tif", get(answer)) + .with_state(Arc::clone(&served)); + let listener = tokio::net::TcpListener::bind("127.0.0.1:0") + .await + .expect("bind a loopback port"); + let addr = listener.local_addr().expect("local addr"); + tokio::spawn(async move { + axum::serve(listener, app).await.expect("serve"); + }); + (addr, served) +} + +async fn answer(State(served): State>, headers: HeaderMap) -> Response { + served.requests.fetch_add(1, Ordering::SeqCst); + let body = served + .body + .lock() + .unwrap_or_else(|p| p.into_inner()) + .clone(); + let etag = served + .etag + .lock() + .unwrap_or_else(|p| p.into_inner()) + .clone(); + match served.mode { + Mode::IgnoreRange => return (StatusCode::OK, body).into_response(), + Mode::Redirect => { + let location = served + .location + .lock() + .unwrap_or_else(|p| p.into_inner()) + .clone(); + return (StatusCode::FOUND, [(header::LOCATION, location)]).into_response(); + } + Mode::Ranges => {} + } + if let Some(wanted) = headers.get(header::IF_MATCH).and_then(|v| v.to_str().ok()) { + served.if_match_seen.fetch_add(1, Ordering::SeqCst); + if wanted != etag { + return StatusCode::PRECONDITION_FAILED.into_response(); + } + } + let total = body.len() as u64; + let Some((first, last)) = headers + .get(header::RANGE) + .and_then(|v| v.to_str().ok()) + .and_then(|v| v.strip_prefix("bytes=")) + .and_then(|v| v.split_once('-')) + .and_then(|(a, b)| Some((a.parse::().ok()?, b.parse::().ok()?))) + else { + return (StatusCode::OK, body).into_response(); + }; + if first >= total { + return ( + StatusCode::RANGE_NOT_SATISFIABLE, + [(header::CONTENT_RANGE, format!("bytes */{total}"))], + ) + .into_response(); + } + let last = last.min(total - 1); + let slice = body[first as usize..=last as usize].to_vec(); + ( + StatusCode::PARTIAL_CONTENT, + [ + ( + header::CONTENT_RANGE, + format!("bytes {first}-{last}/{total}"), + ), + (header::ETAG, etag), + ], + slice, + ) + .into_response() +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/traits.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/traits.rs new file mode 100644 index 000000000..ad6740a0e --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/fetch/traits.rs @@ -0,0 +1,41 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! `RangeFetch`: one transport's byte-range reads, and the bound on how +//! many run at once. + +use std::future::Future; + +use futures::{StreamExt as _, TryStreamExt as _}; +use nodedb_raster::ByteRange; + +use super::error::FetchError; + +/// Most range fetches one load runs at once. +pub const MAX_IN_FLIGHT: usize = 8; + +/// Reads byte ranges of raster source objects. Each answer is the range's +/// bytes, fewer where the object ends, or `None` when the object does not +/// exist. The raster readers bound every range they name. +pub trait RangeFetch: Send + Sync { + /// Fetch `ranges`, answering in order. + fn fetch( + &self, + ranges: &[ByteRange], + ) -> impl Future>>, FetchError>> + Send; +} + +/// Run `fetch_one` over `ranges` with at most [`MAX_IN_FLIGHT`] in flight, +/// answering in order. The first error ends the run. +pub async fn fetch_bounded( + ranges: &[ByteRange], + fetch_one: F, +) -> Result>>, FetchError> +where + F: Fn(ByteRange) -> Fut, + Fut: Future>, FetchError>>, +{ + futures::stream::iter(ranges.iter().copied().map(fetch_one)) + .buffered(MAX_IN_FLIGHT) + .try_collect() + .await +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/grid.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/grid.rs deleted file mode 100644 index f650a8799..000000000 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/grid.rs +++ /dev/null @@ -1,375 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! Where each GeoTIFF pixel lands in an array: the cell coordinates of its -//! GEOREF axes, checked against the dim domains once at open. -//! -//! A pixel-mode array stores pixel indexes. The file grid must be the -//! array grid shifted by whole pixels, so file pixel `(col, row)` is cell -//! `(col + col0, row + row0)`. A world-mode array stores pixel-centre -//! world coordinates, so the cell is the file geotransform at -//! `(col + 0.5, row + 0.5)`. -//! -//! The pixel-to-cell map is affine and each coordinate is monotone in the -//! pixel index. So the four corner pixels bound every cell, and a footprint -//! inside the dim domains puts every cell inside them. - -use nodedb_array::schema::GeoTransform; -use nodedb_sql::catalog::ArrayCatalogView; -use nodedb_sql::types_array::{ArrayCoordLiteral, ArrayDimAst, ArrayDimType, ArrayDomainBound}; - -use super::super::decode::{RowError, bound_text}; - -/// Largest relative difference between the file and array linear terms. -const LINEAR_TOLERANCE: f64 = 1e-9; -/// Largest distance from a whole number, in pixels or INT64 units. -const INTEGRAL_TOLERANCE: f64 = 1e-6; -/// Largest pixel offset kept as `i64`, so `offset + u32` never overflows. -const MAX_OFFSET: f64 = (1u64 << 62) as f64; - -/// The cell coordinates of one pixel on the array's GEOREF axes. -#[derive(Debug, Clone, Copy)] -pub(super) enum CellGrid { - /// File pixel `(col, row)` is cell `(col + col0, row + row0)`. - Pixel { col0: i64, row0: i64 }, - /// The cell is the pixel centre in world coordinates. An `INT64` axis - /// holds the rounded centre, which open checks to be whole. - World { - gt: GeoTransform, - x_int: bool, - y_int: bool, - }, -} - -impl CellGrid { - /// The `(x, y)` cell coordinates of file pixel `(col, row)`. - pub(super) fn cell(&self, col: u32, row: u32) -> (ArrayCoordLiteral, ArrayCoordLiteral) { - match *self { - CellGrid::Pixel { col0, row0 } => ( - ArrayCoordLiteral::Int64(i64::from(col) + col0), - ArrayCoordLiteral::Int64(i64::from(row) + row0), - ), - CellGrid::World { gt, x_int, y_int } => { - let (x, y) = gt.pixel_to_world(f64::from(col) + 0.5, f64::from(row) + 0.5); - (world_coord(x, x_int), world_coord(y, y_int)) - } - } - } -} - -fn world_coord(value: f64, int: bool) -> ArrayCoordLiteral { - if int { - // Open proved every centre on this axis whole and inside the domain. - ArrayCoordLiteral::Int64(value.round() as i64) - } else { - ArrayCoordLiteral::Float64(value) - } -} - -/// The file facts the grid checks read. -pub(super) struct GridInput<'a> { - pub view: &'a ArrayCatalogView, - pub x_dim: &'a ArrayDimAst, - pub y_dim: &'a ArrayDimAst, - /// The array GEOREF transform. `None` is a world-mode array. - pub array_gt: Option<[f64; 6]>, - pub file_gt: [f64; 6], - pub width: u32, - pub height: u32, -} - -/// Check the file grid against the array and its footprint against the -/// dim domains. Misalignment is `22023`, a footprint outside a domain -/// `22003`. -pub(super) fn plan_grid(input: &GridInput<'_>) -> Result { - match input.array_gt { - Some(array_gt) => pixel_grid(input, array_gt), - None => world_grid(input), - } -} - -fn pixel_grid(input: &GridInput<'_>, array_gt: [f64; 6]) -> Result { - let file = input.file_gt; - let scale = [1, 2, 4, 5] - .iter() - .map(|&k| array_gt[k].abs()) - .fold(0.0_f64, f64::max); - let linear_equal = [1, 2, 4, 5] - .iter() - .all(|&k| (file[k] - array_gt[k]).abs() <= LINEAR_TOLERANCE * scale); - if !linear_equal { - return Err(misaligned( - input, - format!( - "the file pixel size and rotation {:?} differ from the array TRANSFORM {:?}", - [file[1], file[2], file[4], file[5]], - [array_gt[1], array_gt[2], array_gt[4], array_gt[5]] - ), - )); - } - let origin = GeoTransform(array_gt).world_to_pixel(file[0], file[3]); - let Some((u0, v0)) = origin else { - return Err(misaligned( - input, - "the array TRANSFORM has no inverse".into(), - )); - }; - let (Some(col0), Some(row0)) = (whole_offset(u0), whole_offset(v0)) else { - return Err(misaligned( - input, - format!("the file origin falls at array pixel ({u0}, {v0}), not on a whole pixel"), - )); - }; - let last_col = col0 + i64::from(input.width) - 1; - let last_row = row0 + i64::from(input.height) - 1; - check_int_span(input.x_dim, col0, last_col)?; - check_int_span(input.y_dim, row0, last_row)?; - Ok(CellGrid::Pixel { col0, row0 }) -} - -/// `value` rounded to `i64` when it is within the tolerance of a whole -/// number and inside the offset range. -fn whole_offset(value: f64) -> Option { - let rounded = value.round(); - let whole = (value - rounded).abs() <= INTEGRAL_TOLERANCE; - (whole && rounded.abs() <= MAX_OFFSET).then_some(rounded as i64) -} - -fn world_grid(input: &GridInput<'_>) -> Result { - let gt = GeoTransform(input.file_gt); - let (w, h) = (f64::from(input.width), f64::from(input.height)); - let corners = [ - (0.5, 0.5), - (w - 0.5, 0.5), - (0.5, h - 0.5), - (w - 0.5, h - 0.5), - ] - .map(|(u, v)| gt.pixel_to_world(u, v)); - let xs = corners.map(|(x, _)| x); - let ys = corners.map(|(_, y)| y); - let x_int = int_axis(input.x_dim)?; - let y_int = int_axis(input.y_dim)?; - let file = input.file_gt; - if x_int { - check_whole_axis(input.x_dim, &xs, [file[1], file[2]])?; - } - if y_int { - check_whole_axis(input.y_dim, &ys, [file[4], file[5]])?; - } - check_world_span(input.x_dim, &xs)?; - check_world_span(input.y_dim, &ys)?; - Ok(CellGrid::World { gt, x_int, y_int }) -} - -/// Whether a world-mode axis is `INT64`. GEOREF admits `INT64` and -/// `FLOAT64` axes only. -fn int_axis(dim: &ArrayDimAst) -> Result { - match dim.dtype { - ArrayDimType::Int64 => Ok(true), - ArrayDimType::Float64 => Ok(false), - ArrayDimType::TimestampMs | ArrayDimType::String => Err(RowError::new( - 0, - "22023", - format!("GEOREF axis '{}' cannot hold world coordinates", dim.name), - )), - } -} - -/// Every pixel centre on an `INT64` world axis must be whole: the corner -/// centres and the per-pixel steps. -fn check_whole_axis( - dim: &ArrayDimAst, - corners: &[f64; 4], - steps: [f64; 2], -) -> Result<(), RowError> { - let whole = |v: &f64| (v - v.round()).abs() <= INTEGRAL_TOLERANCE; - if corners.iter().all(whole) && steps.iter().all(whole) { - return Ok(()); - } - Err(RowError::new( - 0, - "22023", - format!( - "pixel centres on INT64 axis '{}' are not whole numbers; \ - declare it FLOAT64 or resample outside the engine", - dim.name - ), - )) -} - -fn check_world_span(dim: &ArrayDimAst, corners: &[f64; 4]) -> Result<(), RowError> { - let lo = corners.iter().copied().fold(f64::INFINITY, f64::min); - let hi = corners.iter().copied().fold(f64::NEG_INFINITY, f64::max); - match dim.dtype { - ArrayDimType::Int64 => check_int_span(dim, lo.round() as i64, hi.round() as i64), - ArrayDimType::Float64 | ArrayDimType::TimestampMs | ArrayDimType::String => { - let inside = match (&dim.lo, &dim.hi) { - (ArrayDomainBound::Float64(d_lo), ArrayDomainBound::Float64(d_hi)) => { - *d_lo <= lo && hi <= *d_hi - } - _ => false, - }; - if inside { - Ok(()) - } else { - Err(outside(dim, &lo.to_string(), &hi.to_string())) - } - } - } -} - -/// Check the integer span `[lo, hi]` of an axis against its domain. -fn check_int_span(dim: &ArrayDimAst, lo: i64, hi: i64) -> Result<(), RowError> { - let inside = match (&dim.lo, &dim.hi) { - (ArrayDomainBound::Int64(d_lo), ArrayDomainBound::Int64(d_hi)) => { - *d_lo <= lo && hi <= *d_hi - } - _ => false, - }; - if inside { - return Ok(()); - } - Err(outside(dim, &lo.to_string(), &hi.to_string())) -} - -fn outside(dim: &ArrayDimAst, lo: &str, hi: &str) -> RowError { - RowError::new( - 0, - "22003", - format!( - "the raster footprint spans [{lo}..{hi}] on dim '{}', outside its domain [{}..{}]", - dim.name, - bound_text(&dim.lo), - bound_text(&dim.hi) - ), - ) -} - -fn misaligned(input: &GridInput<'_>, why: String) -> RowError { - RowError::new( - 0, - "22023", - format!( - "raster grid does not align with array '{}': {why}; resample outside the engine", - input.view.name - ), - ) -} - -#[cfg(test)] -mod tests { - use super::*; - - fn int_dim(name: &str, lo: i64, hi: i64) -> ArrayDimAst { - ArrayDimAst { - name: name.into(), - dtype: ArrayDimType::Int64, - lo: ArrayDomainBound::Int64(lo), - hi: ArrayDomainBound::Int64(hi), - } - } - - fn float_dim(name: &str, lo: f64, hi: f64) -> ArrayDimAst { - ArrayDimAst { - name: name.into(), - dtype: ArrayDimType::Float64, - lo: ArrayDomainBound::Float64(lo), - hi: ArrayDomainBound::Float64(hi), - } - } - - fn view() -> ArrayCatalogView { - ArrayCatalogView { - name: "scene".into(), - dims: Vec::new(), - attrs: Vec::new(), - tile_extents: Vec::new(), - georef: None, - } - } - - const GT: [f64; 6] = [600_000.0, 30.0, 0.0, 700_000.0, 0.0, -30.0]; - - fn input<'a>( - view: &'a ArrayCatalogView, - x: &'a ArrayDimAst, - y: &'a ArrayDimAst, - array_gt: Option<[f64; 6]>, - file_gt: [f64; 6], - ) -> GridInput<'a> { - GridInput { - view, - x_dim: x, - y_dim: y, - array_gt, - file_gt, - width: 256, - height: 192, - } - } - - #[test] - fn a_shifted_file_lands_at_its_pixel_offset() { - let (v, x, y) = (view(), int_dim("col", 0, 1000), int_dim("row", 0, 1000)); - let file = [ - 600_000.0 + 30.0 * 10.0, - 30.0, - 0.0, - 700_000.0 - 30.0 * 4.0, - 0.0, - -30.0, - ]; - let grid = plan_grid(&input(&v, &x, &y, Some(GT), file)).expect("aligned"); - let (cx, cy) = grid.cell(0, 0); - assert_eq!(cx, ArrayCoordLiteral::Int64(10)); - assert_eq!(cy, ArrayCoordLiteral::Int64(4)); - } - - #[test] - fn a_half_pixel_shift_is_misaligned() { - let (v, x, y) = (view(), int_dim("col", 0, 1000), int_dim("row", 0, 1000)); - let file = [600_015.0, 30.0, 0.0, 700_000.0, 0.0, -30.0]; - let err = plan_grid(&input(&v, &x, &y, Some(GT), file)).expect_err("half pixel"); - assert_eq!(err.sqlstate, "22023"); - assert!( - err.message.contains("resample outside the engine"), - "{}", - err.message - ); - let scaled = [600_000.0, 10.0, 0.0, 700_000.0, 0.0, -10.0]; - let err = plan_grid(&input(&v, &x, &y, Some(GT), scaled)).expect_err("pixel size"); - assert_eq!(err.sqlstate, "22023"); - } - - #[test] - fn a_footprint_past_the_domain_is_22003() { - let (v, x, y) = (view(), int_dim("col", 0, 255), int_dim("row", 0, 99)); - let err = plan_grid(&input(&v, &x, &y, Some(GT), GT)).expect_err("rows past 99"); - assert_eq!(err.sqlstate, "22003"); - } - - #[test] - fn world_cells_are_pixel_centres() { - let v = view(); - let x = float_dim("x", 600_000.0, 607_680.0); - let y = float_dim("y", 694_240.0, 700_000.0); - let grid = plan_grid(&input(&v, &x, &y, None, GT)).expect("inside"); - let (cx, cy) = grid.cell(2, 1); - assert_eq!(cx, ArrayCoordLiteral::Float64(600_075.0)); - assert_eq!(cy, ArrayCoordLiteral::Float64(699_955.0)); - } - - #[test] - fn int_world_axes_need_whole_centres() { - let v = view(); - let x = int_dim("x", 0, 10_000_000); - let y = int_dim("y", 0, 10_000_000); - let quarter = [600_000.0, 25.0, 0.0, 700_000.0, 0.0, -25.0]; - let err = plan_grid(&input(&v, &x, &y, None, quarter)).expect_err("centres at 12.5 m"); - assert_eq!(err.sqlstate, "22023"); - let shifted = [599_985.0, 30.0, 0.0, 700_015.0, 0.0, -30.0]; - let grid = plan_grid(&input(&v, &x, &y, None, shifted)).expect("whole centres"); - let (cx, cy) = grid.cell(1, 1); - assert_eq!(cx, ArrayCoordLiteral::Int64(600_030)); - assert_eq!(cy, ArrayCoordLiteral::Int64(699_970)); - } -} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/mod.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/mod.rs index 1a0d8b59e..203c6f6e0 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/mod.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/mod.rs @@ -1,9 +1,8 @@ // SPDX-License-Identifier: BUSL-1.1 -pub mod bands; -pub mod grid; -pub mod open; -pub mod pixels; +pub mod adopt; +pub mod driver; +pub mod fetch; pub mod refusal; pub mod task; diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/open.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/open.rs deleted file mode 100644 index 64a401dd8..000000000 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/open.rs +++ /dev/null @@ -1,429 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! The open-time checks of a GeoTIFF load. Every check runs before the -//! first block decodes, so a refused file commits no row. -//! -//! - The array must have a GEOREF (`55000`), and the file CRS must be its -//! SRID (`22023`). -//! - Bands map onto attrs by the lossless type rule (`42804`), and an attr -//! no band fills must be nullable (`23502`). -//! - The file grid must align with the array (`22023`), and its footprint -//! must fit the dim domains (`22003`). -//! - `TIME` fills the one `TIMESTAMP` dim. Any other dim has no source. -//! - The nodata value must be a value of the sample type (`22023`). - -use nodedb_raster::{BandSamples, SampleType}; -use nodedb_sql::catalog::ArrayCatalogView; -use nodedb_sql::ddl_ast::statement::CopyRasterOptions; -use nodedb_sql::types_array::{ArrayDimAst, ArrayDimType, ArrayDomainBound, ArrayGeorefAst}; -use nodedb_types::geometry::Srid; - -use super::super::decode::{RowError, bound_text}; -use super::bands::{AttrSource, map_bands}; -use super::grid::{CellGrid, GridInput, plan_grid}; - -/// What a GeoTIFF's tags say, read on the decoder thread. -#[derive(Debug, Clone)] -pub(super) struct RasterHeader { - pub width: u32, - pub height: u32, - pub bands: u16, - pub sample_type: SampleType, - /// The pixel-corner geotransform. `None` when the file has none. - pub transform: Option<[f64; 6]>, - /// The CRS the GeoKeys name. `None` when they name none. - pub srid: Option, - /// The `GDAL_NODATA` value. - pub nodata: Option, -} - -/// The source of one dim's coordinate. -#[derive(Debug, Clone, Copy, PartialEq)] -pub(super) enum CoordSource { - /// The GEOREF x axis. - X, - /// The GEOREF y axis. - Y, - /// The `TIME` instant, in ms since the Unix epoch. - Time(i64), -} - -/// The nodata value, typed by the sample type. -#[derive(Debug, Clone, Copy)] -pub(super) enum Nodata { - Int(i64), - F32(f32), - F64(f64), -} - -impl Nodata { - /// Whether sample `index` of `band` is nodata. NaN matches NaN. - pub(super) fn matches(self, band: &BandSamples, index: usize) -> bool { - match (self, band) { - (Nodata::Int(n), BandSamples::U8(v)) => { - v.get(index).is_some_and(|s| i64::from(*s) == n) - } - (Nodata::Int(n), BandSamples::U16(v)) => { - v.get(index).is_some_and(|s| i64::from(*s) == n) - } - (Nodata::Int(n), BandSamples::I16(v)) => { - v.get(index).is_some_and(|s| i64::from(*s) == n) - } - (Nodata::Int(n), BandSamples::U32(v)) => { - v.get(index).is_some_and(|s| i64::from(*s) == n) - } - (Nodata::F32(n), BandSamples::F32(v)) => v - .get(index) - .is_some_and(|s| *s == n || (s.is_nan() && n.is_nan())), - (Nodata::F64(n), BandSamples::F64(v)) => v - .get(index) - .is_some_and(|s| *s == n || (s.is_nan() && n.is_nan())), - ( - Nodata::Int(_) | Nodata::F32(_) | Nodata::F64(_), - BandSamples::U8(_) - | BandSamples::U16(_) - | BandSamples::I16(_) - | BandSamples::U32(_) - | BandSamples::F32(_) - | BandSamples::F64(_), - ) => false, - } - } -} - -/// How every pixel of an accepted file becomes a row. -#[derive(Debug)] -pub(super) struct RasterPlan { - pub(super) width: u32, - pub(super) bands: u16, - /// One source per dim, in schema order. - pub(super) coords: Vec, - /// One source per attr, in schema order. - pub(super) attrs: Vec, - /// The file bands that load. A pixel is nodata when all of them are. - pub(super) loaded: Vec, - pub(super) grid: CellGrid, - pub(super) nodata: Option, -} - -impl RasterPlan { - /// Run every open-time check of `header` against `view`. - pub(super) fn new( - view: &ArrayCatalogView, - georef: &ArrayGeorefAst, - header: &RasterHeader, - options: &CopyRasterOptions, - ) -> Result { - check_srid(view, georef, header)?; - let map = map_bands( - view, - header.bands, - header.sample_type, - options.bands.as_deref(), - )?; - let (x_index, x_dim) = georef_axis(view, &georef.x_dim)?; - let (y_index, y_dim) = georef_axis(view, &georef.y_dim)?; - let file_gt = header.transform.ok_or_else(|| { - RowError::new( - 0, - "22023", - "the file has no geotransform, so no pixel has a world position".to_string(), - ) - })?; - let grid = plan_grid(&GridInput { - view, - x_dim, - y_dim, - array_gt: georef.transform, - file_gt, - width: header.width, - height: header.height, - })?; - let coords = plan_coords(view, x_index, y_index, options.time_ms)?; - let nodata = options - .nodata - .or(header.nodata) - .map(|value| typed_nodata(value, header.sample_type)) - .transpose()?; - Ok(Self { - width: header.width, - bands: header.bands, - coords, - attrs: map.attrs, - loaded: map.loaded, - grid, - nodata, - }) - } -} - -fn check_srid( - view: &ArrayCatalogView, - georef: &ArrayGeorefAst, - header: &RasterHeader, -) -> Result<(), RowError> { - match header.srid { - Some(srid) if srid.code() == georef.srid => Ok(()), - Some(srid) => Err(RowError::new( - 0, - "22023", - format!( - "the file CRS is EPSG:{}, array '{}' GEOREF is SRID {}; \ - reproject outside the engine", - srid.code(), - view.name, - georef.srid - ), - )), - None => Err(RowError::new( - 0, - "22023", - format!( - "the file GeoKeys name no CRS, array '{}' GEOREF is SRID {}", - view.name, georef.srid - ), - )), - } -} - -/// The index and spec of the dim a GEOREF axis names. -fn georef_axis<'v>( - view: &'v ArrayCatalogView, - name: &str, -) -> Result<(usize, &'v ArrayDimAst), RowError> { - view.dims - .iter() - .enumerate() - .find(|(_, dim)| dim.name.eq_ignore_ascii_case(name)) - .ok_or_else(|| { - RowError::new( - 0, - "XX000", - format!( - "array '{}' GEOREF names dim '{name}', which it lacks", - view.name - ), - ) - }) -} - -/// The source of every dim: the GEOREF axes, then `TIME` for the one -/// `TIMESTAMP` dim. Any other dim has no source in a raster (`0A000`). -fn plan_coords( - view: &ArrayCatalogView, - x_index: usize, - y_index: usize, - time_ms: Option, -) -> Result, RowError> { - let mut time_used = false; - let mut coords = Vec::with_capacity(view.dims.len()); - for (index, dim) in view.dims.iter().enumerate() { - let source = if index == x_index { - CoordSource::X - } else if index == y_index { - CoordSource::Y - } else if dim.dtype == ArrayDimType::TimestampMs && !time_used { - time_used = true; - CoordSource::Time(time_coord(dim, time_ms)?) - } else { - return Err(RowError::new( - 0, - "0A000", - format!( - "dim '{}' has no source in a GeoTIFF; a raster fills the GEOREF axes \ - and one TIMESTAMP dim from TIME", - dim.name - ), - )); - }; - coords.push(source); - } - if time_ms.is_some() && !time_used { - return Err(RowError::new( - 0, - "42601", - format!( - "TIME is given, and array '{}' has no TIMESTAMP dim", - view.name - ), - )); - } - Ok(coords) -} - -/// The `TIME` instant for `dim`, checked against its domain. -fn time_coord(dim: &ArrayDimAst, time_ms: Option) -> Result { - let time = time_ms.ok_or_else(|| { - RowError::new( - 0, - "42601", - format!( - "dim '{}' is a TIMESTAMP; give the scene instant with WITH (TIME '')", - dim.name - ), - ) - })?; - let inside = match (&dim.lo, &dim.hi) { - ( - ArrayDomainBound::TimestampMs(lo) | ArrayDomainBound::Int64(lo), - ArrayDomainBound::TimestampMs(hi) | ArrayDomainBound::Int64(hi), - ) => *lo <= time && time <= *hi, - _ => false, - }; - if inside { - return Ok(time); - } - Err(RowError::new( - 0, - "22003", - format!( - "TIME {time} is outside dim '{}' domain [{}..{}]", - dim.name, - bound_text(&dim.lo), - bound_text(&dim.hi) - ), - )) -} - -/// `value` as a nodata of `sample`. An integer type needs a whole value in -/// its range. `f32` takes the nearest `f32`, as GDAL compares. -fn typed_nodata(value: f64, sample: SampleType) -> Result { - let range = match sample { - SampleType::U8 => Some((f64::from(u8::MIN), f64::from(u8::MAX))), - SampleType::U16 => Some((f64::from(u16::MIN), f64::from(u16::MAX))), - SampleType::I16 => Some((f64::from(i16::MIN), f64::from(i16::MAX))), - SampleType::U32 => Some((f64::from(u32::MIN), f64::from(u32::MAX))), - SampleType::F32 if value.is_finite() && value.abs() > f64::from(f32::MAX) => { - return Err(unrepresentable(value, sample)); - } - SampleType::F32 => return Ok(Nodata::F32(value as f32)), - SampleType::F64 => return Ok(Nodata::F64(value)), - }; - match range { - Some((lo, hi)) if value.fract() == 0.0 && lo <= value && value <= hi => { - Ok(Nodata::Int(value as i64)) - } - _ => Err(unrepresentable(value, sample)), - } -} - -fn unrepresentable(value: f64, sample: SampleType) -> RowError { - RowError::new( - 0, - "22023", - format!("nodata {value} is not a {sample} value, so no sample can match it"), - ) -} - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn integer_nodata_must_be_a_sample_value() { - assert!(matches!( - typed_nodata(0.0, SampleType::U16), - Ok(Nodata::Int(0)) - )); - assert!(matches!( - typed_nodata(-9999.0, SampleType::I16), - Ok(Nodata::Int(-9999)) - )); - for (value, sample) in [ - (-1.0, SampleType::U16), - (65536.0, SampleType::U16), - (0.5, SampleType::U8), - (f64::NAN, SampleType::U32), - (1e39, SampleType::F32), - ] { - let err = typed_nodata(value, sample).expect_err("unrepresentable"); - assert_eq!(err.sqlstate, "22023", "{value} as {sample}"); - } - } - - #[test] - fn nan_nodata_matches_nan_samples() { - let band = BandSamples::F32(vec![f32::NAN, 1.0]); - let nodata = typed_nodata(f64::NAN, SampleType::F32).expect("NaN is an f32 value"); - assert!(nodata.matches(&band, 0)); - assert!(!nodata.matches(&band, 1)); - let ints = BandSamples::U16(vec![0, 7]); - assert!(Nodata::Int(0).matches(&ints, 0)); - assert!(!Nodata::Int(0).matches(&ints, 1)); - } - - fn dim( - name: &str, - dtype: ArrayDimType, - lo: ArrayDomainBound, - hi: ArrayDomainBound, - ) -> ArrayDimAst { - ArrayDimAst { - name: name.into(), - dtype, - lo, - hi, - } - } - - fn view(dims: Vec) -> ArrayCatalogView { - ArrayCatalogView { - name: "scene".into(), - dims, - attrs: Vec::new(), - tile_extents: Vec::new(), - georef: None, - } - } - - #[test] - fn time_fills_the_timestamp_dim() { - let ts = || { - dim( - "t", - ArrayDimType::TimestampMs, - ArrayDomainBound::TimestampMs(0), - ArrayDomainBound::TimestampMs(1_000), - ) - }; - let axis = |name: &str| { - dim( - name, - ArrayDimType::Int64, - ArrayDomainBound::Int64(0), - ArrayDomainBound::Int64(9), - ) - }; - let v = view(vec![ts(), axis("row"), axis("col")]); - let coords = plan_coords(&v, 2, 1, Some(500)).expect("time given"); - assert_eq!( - coords, - vec![CoordSource::Time(500), CoordSource::Y, CoordSource::X] - ); - assert_eq!( - plan_coords(&v, 2, 1, None).expect_err("no TIME").sqlstate, - "42601" - ); - assert_eq!( - plan_coords(&v, 2, 1, Some(5_000)) - .expect_err("past") - .sqlstate, - "22003" - ); - - let plain = view(vec![axis("row"), axis("col")]); - assert_eq!( - plan_coords(&plain, 1, 0, Some(5)) - .expect_err("no ts") - .sqlstate, - "42601" - ); - let band = view(vec![axis("band"), axis("row"), axis("col")]); - assert_eq!( - plan_coords(&band, 2, 1, None) - .expect_err("band dim") - .sqlstate, - "0A000" - ); - } -} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/pixels.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/pixels.rs deleted file mode 100644 index f4ed8d0cc..000000000 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/pixels.rs +++ /dev/null @@ -1,282 +0,0 @@ -// SPDX-License-Identifier: BUSL-1.1 - -//! The rows of one decoded GeoTIFF block, read one pixel at a time. -//! -//! A row's number is the pixel's row-major ordinal in the image plus one. -//! A pixel whose loaded bands all hold nodata is skipped. A kept pixel -//! with one nodata band writes NULL there, or is refused with `23502` when -//! the attr is NOT NULL. Open checked the types and the footprint, so no -//! other check runs per pixel. -//! -//! Each kept pixel allocates its coordinate and attr vectors, sized -//! exactly. A skipped pixel allocates nothing. - -use nodedb_raster::{BandSamples, RasterBlock}; -use nodedb_sql::types_array::{ArrayAttrLiteral, ArrayCoordLiteral, ArrayInsertRow}; - -use super::super::decode::RowError; -use super::bands::AttrSource; -use super::open::{CoordSource, RasterPlan}; - -/// The rows of one block in pixel order within the block. -pub(super) struct BlockRows<'a> { - plan: &'a RasterPlan, - block: &'a RasterBlock, - next: usize, - pixels: usize, -} - -impl<'a> BlockRows<'a> { - /// Read `block` under `plan`. A block with the wrong band count or a - /// short band is a malformed file (`22P04`). - pub(super) fn new(plan: &'a RasterPlan, block: &'a RasterBlock) -> Result { - let pixels = block.window.pixels(); - if block.bands.len() != usize::from(plan.bands) { - return Err(RowError::new( - 0, - "22P04", - format!( - "GeoTIFF block {} decoded {} bands, the file declares {}", - block.index, - block.bands.len(), - plan.bands - ), - )); - } - if let Some(short) = block.bands.iter().find(|band| band.len() < pixels) { - return Err(RowError::new( - 0, - "22P04", - format!( - "GeoTIFF block {} decoded {} samples, its window holds {pixels}", - block.index, - short.len() - ), - )); - } - Ok(Self { - plan, - block, - next: 0, - pixels, - }) - } - - /// Whether every loaded band of pixel `index` holds nodata. - fn is_nodata(&self, index: usize) -> bool { - let Some(nodata) = self.plan.nodata else { - return false; - }; - self.plan.loaded.iter().all(|&band| { - self.block - .bands - .get(band) - .is_some_and(|samples| nodata.matches(samples, index)) - }) - } - - /// The row of pixel `index` of the block. - fn row(&self, index: usize) -> Result<(usize, ArrayInsertRow), RowError> { - let window = &self.block.window; - let local_row = index / window.width as usize; - let local_col = index % window.width as usize; - // The window lies inside the image, so both fit `u32`. - let row = window.row_off + local_row as u32; - let col = window.col_off + local_col as u32; - let row_no = row as usize * self.plan.width as usize + col as usize + 1; - let (x, y) = self.plan.grid.cell(col, row); - let mut coords = Vec::with_capacity(self.plan.coords.len()); - for source in &self.plan.coords { - coords.push(match source { - CoordSource::X => x.clone(), - CoordSource::Y => y.clone(), - CoordSource::Time(ms) => ArrayCoordLiteral::Int64(*ms), - }); - } - let mut attrs = Vec::with_capacity(self.plan.attrs.len()); - for source in &self.plan.attrs { - let AttrSource::Band { - band, - float, - nullable, - name, - } = source - else { - attrs.push(ArrayAttrLiteral::Null); - continue; - }; - let samples = self - .block - .bands - .get(*band) - .ok_or_else(|| missing_band(*band, row_no))?; - let is_nodata = self.plan.nodata.is_some_and(|n| n.matches(samples, index)); - let literal = match (is_nodata, *nullable) { - (true, true) => ArrayAttrLiteral::Null, - (true, false) => { - return Err(RowError::new( - row_no, - "23502", - format!( - "attr '{name}' is NOT NULL, and band {} holds nodata at \ - (pixel row {row}, col {col})", - band + 1 - ), - )); - } - (false, _) => sample_literal(samples, index, *float) - .ok_or_else(|| missing_band(*band, row_no))?, - }; - attrs.push(literal); - } - Ok((row_no, ArrayInsertRow { coords, attrs })) - } -} - -impl Iterator for BlockRows<'_> { - type Item = Result<(usize, ArrayInsertRow), RowError>; - - fn next(&mut self) -> Option { - while self.next < self.pixels { - let index = self.next; - self.next += 1; - if !self.is_nodata(index) { - return Some(self.row(index)); - } - } - None - } -} - -/// Sample `index` as an attr literal. Open admitted only lossless pairs, -/// so an integer sample widens to `f64` exactly when the attr is a float. -fn sample_literal(samples: &BandSamples, index: usize, float: bool) -> Option { - let int = |n: i64| { - if float { - ArrayAttrLiteral::Float64(n as f64) - } else { - ArrayAttrLiteral::Int64(n) - } - }; - match samples { - BandSamples::U8(v) => v.get(index).map(|s| int(i64::from(*s))), - BandSamples::U16(v) => v.get(index).map(|s| int(i64::from(*s))), - BandSamples::I16(v) => v.get(index).map(|s| int(i64::from(*s))), - BandSamples::U32(v) => v.get(index).map(|s| int(i64::from(*s))), - BandSamples::F32(v) => v - .get(index) - .map(|s| ArrayAttrLiteral::Float64(f64::from(*s))), - BandSamples::F64(v) => v.get(index).map(|s| ArrayAttrLiteral::Float64(*s)), - } -} - -fn missing_band(band: usize, row_no: usize) -> RowError { - RowError::new( - row_no, - "22P04", - format!("GeoTIFF band {} has no sample for this pixel", band + 1), - ) -} - -#[cfg(test)] -mod tests { - use super::super::grid::CellGrid; - use super::super::open::Nodata; - use super::*; - use nodedb_raster::BlockWindow; - - fn plan(nullable: bool) -> RasterPlan { - RasterPlan { - width: 4, - bands: 2, - coords: vec![CoordSource::Y, CoordSource::X], - attrs: vec![ - AttrSource::Band { - band: 0, - float: false, - nullable, - name: "b1".into(), - }, - AttrSource::Band { - band: 1, - float: true, - nullable: true, - name: "b2".into(), - }, - AttrSource::Null, - ], - loaded: vec![0, 1], - grid: CellGrid::Pixel { col0: 10, row0: 20 }, - nodata: Some(Nodata::Int(0)), - } - } - - fn block() -> RasterBlock { - RasterBlock { - index: 1, - window: BlockWindow { - col_off: 2, - row_off: 0, - width: 2, - height: 2, - }, - bands: vec![ - BandSamples::U16(vec![5, 0, 0, 7]), - BandSamples::U16(vec![6, 0, 9, 8]), - ], - } - } - - #[test] - fn rows_skip_all_nodata_pixels_and_null_partial_ones() { - let (plan, block) = (plan(true), block()); - let rows: Vec<_> = BlockRows::new(&plan, &block) - .expect("block fits") - .collect::>() - .expect("all rows load"); - let numbers: Vec = rows.iter().map(|(n, _)| *n).collect(); - // Pixel (0, 3) is nodata in both bands. Row-major ordinals: 2, 6, 7. - assert_eq!(numbers, vec![3, 7, 8]); - let (_, first) = &rows[0]; - assert_eq!( - first.coords, - vec![ArrayCoordLiteral::Int64(20), ArrayCoordLiteral::Int64(12)] - ); - assert_eq!( - first.attrs, - vec![ - ArrayAttrLiteral::Int64(5), - ArrayAttrLiteral::Float64(6.0), - ArrayAttrLiteral::Null - ] - ); - let (_, partial) = &rows[1]; - assert_eq!(partial.attrs[0], ArrayAttrLiteral::Null); - assert_eq!(partial.attrs[1], ArrayAttrLiteral::Float64(9.0)); - } - - #[test] - fn a_nodata_band_in_a_not_null_attr_names_the_pixel() { - let (plan, block) = (plan(false), block()); - let err = BlockRows::new(&plan, &block) - .expect("block fits") - .find_map(Result::err) - .expect("pixel (1, 2) is refused"); - assert_eq!(err.sqlstate, "23502"); - assert_eq!(err.row, 7); - assert!( - err.message.contains("(pixel row 1, col 2)"), - "{}", - err.message - ); - } - - #[test] - fn a_short_block_is_malformed() { - let plan = plan(true); - let mut block = block(); - block.bands[1] = BandSamples::U16(vec![1]); - let err = BlockRows::new(&plan, &block).err().expect("short band"); - assert_eq!(err.sqlstate, "22P04"); - } -} diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/refusal.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/refusal.rs index 5a71e4ef4..50a9bbde4 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/refusal.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/refusal.rs @@ -1,27 +1,63 @@ // SPDX-License-Identifier: BUSL-1.1 -//! The SQLSTATE of each GeoTIFF reader error. +//! The SQLSTATE of each raster load error. //! -//! - A malformed or corrupt file is `22P04` (bad copy file format). -//! - A valid file that uses a feature the reader lacks is `0A000`. -//! - A block over the decode cap is `54000`. +//! - A malformed or corrupt file is `22P04` (bad copy file format). A +//! user-defined CRS whose GeoKeys do not form a valid definition is one, +//! and so is a corrupt compressed block. +//! - A valid file that uses a feature the reader lacks is `0A000`. A CRS +//! that is undefined, or a user-defined CRS no built-in CRS matches, is +//! one. +//! - A block or header over its cap is `54000`. //! - A read error outside the file's bytes is `58030`. +//! - A fetch failure reports the class [`FetchError::sqlstate`] names. +//! - A plan refusal reports the class [`RasterLoadError::sqlstate`] names. use nodedb_raster::RasterError; +use nodedb_raster_load::RasterLoadError; use super::super::decode::RowError; +use super::driver::DriveError; +use super::fetch::FetchError; -/// `e`, met reading `path` under a `cap`-byte decode cap, as a refusal of +impl From for RowError { + fn from(e: RasterLoadError) -> Self { + RowError::new(e.row(), e.sqlstate(), e.to_string()) + } +} + +impl From for RowError { + fn from(e: FetchError) -> Self { + RowError::new(0, e.sqlstate(), e.to_string()) + } +} + +/// `e`, met reading the sources `names` under a `cap`-byte decode cap, as a +/// refusal of the whole input. +pub(super) fn drive_refusal(e: DriveError, names: &[String], cap: usize) -> RowError { + match e { + DriveError::Raster { index, error } => { + let name = names.get(index).map_or("?", String::as_str); + raster_refusal(&error, name, cap) + } + DriveError::Fetch(error) => error.into(), + DriveError::Task(detail) => { + RowError::new(0, "XX000", format!("raster decode task failed: {detail}")) + } + } +} + +/// `e`, met reading `name` under a `cap`-byte decode cap, as a refusal of /// the whole input. -pub(super) fn raster_refusal(e: &RasterError, path: &str, cap: usize) -> RowError { +pub(super) fn raster_refusal(e: &RasterError, name: &str, cap: usize) -> RowError { let sqlstate = sqlstate(e); let message = if sqlstate == "54000" { format!( - "'{path}': {e}; the decode cap is {cap} bytes; \ + "'{name}': {e}; the decode cap is {cap} bytes; \ retile the file with `gdal_translate -co TILED=YES`" ) } else { - format!("'{path}': {e}") + format!("'{name}': {e}") }; RowError::new(0, sqlstate, message) } @@ -29,27 +65,37 @@ pub(super) fn raster_refusal(e: &RasterError, path: &str, cap: usize) -> RowErro fn sqlstate(e: &RasterError) -> &'static str { match e { RasterError::Malformed(_) - | RasterError::TagValueOutOfBounds { .. } + | RasterError::Codec(_) | RasterError::GeoKeys(_) | RasterError::GeoTagLength { .. } | RasterError::PixelScaleWithoutTiepoint | RasterError::DegenerateTransform { .. } | RasterError::MissingCrsKey { .. } + | RasterError::UserCrsParse(_) | RasterError::InvalidNodata { .. } + | RasterError::InvalidMetadata { .. } | RasterError::BlockOutOfRange { .. } - | RasterError::ShortBlock { .. } => "22P04", + | RasterError::BlockBuffers { .. } + | RasterError::ShortBlock { .. } + | RasterError::SourceMissing { .. } + | RasterError::RangeOverrun { .. } + | RasterError::OpenStalled { .. } => "22P04", RasterError::UnsupportedTiff(_) | RasterError::UnsupportedCompression { .. } | RasterError::UnsupportedSampleType { .. } | RasterError::UnsupportedPhotometric { .. } - | RasterError::UnsupportedBandLayout { .. } | RasterError::ReducedResolutionFirstImage + | RasterError::ImageOutOfRange { .. } | RasterError::GroundControlPoints | RasterError::NonAffineTransformation | RasterError::UnsupportedModelType { .. } - | RasterError::UserDefinedCrs { .. } - | RasterError::UnsupportedCrs(_) => "0A000", - RasterError::BlockTooLarge { .. } | RasterError::DecodeLimitExceeded { .. } => "54000", + | RasterError::UnknownCrs(_) + | RasterError::UnsupportedUserCrs { .. } + | RasterError::UnmatchedUserCrs { .. } + | RasterError::AmbiguousUserCrs { .. } => "0A000", + RasterError::BlockTooLarge { .. } + | RasterError::HeaderTooLarge { .. } + | RasterError::TagValueTooLarge { .. } => "54000", RasterError::Io(_) => "58030", } } @@ -82,7 +128,10 @@ mod tests { #[test] fn an_oversized_block_names_the_retile_command() { - let error = RasterError::DecodeLimitExceeded { limit_bytes: 4096 }; + let error = RasterError::BlockTooLarge { + needed_bytes: 8192, + limit_bytes: 4096, + }; let refusal = raster_refusal(&error, "/data/scene.tif", 4096); assert!( refusal.message.contains("gdal_translate -co TILED=YES"), @@ -90,4 +139,17 @@ mod tests { refusal.message ); } + + #[test] + fn a_plan_refusal_keeps_its_row_and_class() { + let row: RowError = RasterLoadError::NodataInNotNull { + row: 9, + attr: "red".into(), + band: 1, + pixel_row: 0, + pixel_col: 8, + } + .into(); + assert_eq!((row.row, row.sqlstate), (9, "23502")); + } } diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/task.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/task.rs index 00713adff..083949260 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/task.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/array_load/raster/task.rs @@ -1,145 +1,226 @@ // SPDX-License-Identifier: BUSL-1.1 -//! `COPY FROM '' WITH (FORMAT geotiff)`: the decode task and -//! the load that drains it. +//! `COPY FROM WITH (FORMAT geotiff, ...)`: one transport +//! per source, then the one async driver. //! -//! One blocking task owns the file handle and the decoder. It reads the -//! tags, waits for the open-time checks, then decodes one block at a time -//! into a channel of two. The async side turns each block into rows and -//! feeds the array loader, so the load holds at most four decoded blocks -//! and the loader's few chunks. Decoding runs on the Control Plane's -//! blocking pool, never on a Data Plane core. +//! - A server path opens once through the jailed handle every check ran +//! on. The entry point checked the superuser privilege and the path. +//! - An `http(s)://` URL passes the egress policy before the first request. +//! A `CREDENTIAL` of `TYPE 'bearer'` sends its token as +//! `Authorization: Bearer`; one of `TYPE 'sas'` appends its signature to +//! the query. +//! - An `s3://bucket/key` object reads through object_store over the egress +//! client. A `CREDENTIAL` of `TYPE 's3'` signs the requests and names the +//! region; without one the bucket is read unsigned, in the region AWS +//! reports for it. +//! +//! `OVERVIEW n` opens image `n` of every source: 0 is full resolution, 1 +//! the first overview. -use std::io::BufReader; +use std::sync::Arc; +use std::time::Duration; -use nodedb_raster::{GeoTiffReader, RasterBlock, RasterError, RasterLimits}; -use nodedb_sql::ddl_ast::statement::CopyRasterOptions; -use tokio::sync::{mpsc, oneshot}; -use tokio::task::JoinHandle; +use nodedb_raster::TiffOpener; +use nodedb_sql::ddl_ast::statement::{CopyRasterOptions, CopySource}; +use zeroize::Zeroizing; +use crate::control::security::egress::{EgressClientOptions, SystemLookup, egress_client}; +use crate::control::security::source_credential::{CredentialSecret, open_secret}; use crate::control::server::shared::ddl::result::DdlError; use super::super::super::source_file::CopySourceFile; -use super::super::decode::RowError; -use super::super::dispatch::{ArrayLoadCtx, input_cap}; -use super::super::loader::{ArrayLoader, LoadInput}; -use super::open::{RasterHeader, RasterPlan}; -use super::pixels::BlockRows; -use super::refusal::raster_refusal; - -/// The most bytes one block decodes to, before the memory headroom cap. -const MAX_BLOCK_BYTES: usize = 64 * 1024 * 1024; -/// Decoded blocks queued between the decoder and the load. -const BLOCK_QUEUE: usize = 2; +use super::super::dispatch::ArrayLoadCtx; +use super::driver::drive_raster; +use super::fetch::http::display_name; +use super::fetch::{ + FetchError, HttpAuth, HttpRange, LocalFile, ObjectStoreRange, S3Keys, S3Target, SourceFetch, + SourceSet, bucket_region, +}; -type HeaderResult = Result; -type BlockResult = Result; +/// Redirects one remote request follows. +const MAX_REDIRECTS: usize = 5; +/// Cap on connecting to a remote source. +const CONNECT_TIMEOUT: Duration = Duration::from_secs(10); +/// Cap on the time between two reads of a remote answer. +const READ_TIMEOUT: Duration = Duration::from_secs(60); -/// Load the GeoTIFF at `path` into `array`. Returns the number of rows -/// loaded: every pixel but the all-nodata ones. +/// Load `sources` into `array`. Returns the number of rows loaded: every +/// pixel but the masked and all-nodata ones. pub(crate) async fn copy_raster( ctx: &ArrayLoadCtx<'_>, array: &str, - path: &str, + sources: &[CopySource], options: &CopyRasterOptions, ) -> Result { - let mut loader = ArrayLoader::open(ctx, array, LoadInput::Raster)?; - let georef = loader.view().georef.clone().ok_or_else(|| { - loader.refuse(RowError::new( - 0, - "55000", - format!( - "array '{array}' has no GEOREF, so no pixel has a cell; \ - add one with ALTER ARRAY {array} SET GEOREF (...)" - ), - )) - })?; - let cap = MAX_BLOCK_BYTES.min(input_cap(ctx.state)); - let file = CopySourceFile::open(path).await?.into_std().await; - let (header_tx, header_rx) = oneshot::channel(); - let (go_tx, go_rx) = oneshot::channel(); - let (block_tx, mut block_rx) = mpsc::channel(BLOCK_QUEUE); - let decoder = tokio::task::spawn_blocking(move || { - decode_file(file, cap, header_tx, go_rx, block_tx); - }); - - let header = match header_rx.await { - Ok(Ok(header)) => header, - Ok(Err(e)) => return Err(loader.refuse(raster_refusal(&e, path, cap))), - Err(_) => return Err(decoder_gone(decoder).await), + let secret = match &options.credential { + Some(name) => Some(resolve_credential(ctx, name)?), + None => None, }; - let plan = - RasterPlan::new(loader.view(), &georef, &header, options).map_err(|e| loader.refuse(e))?; - if go_tx.send(()).is_err() { - return Err(decoder_gone(decoder).await); - } - while let Some(next) = block_rx.recv().await { - let block = next.map_err(|e| loader.refuse(raster_refusal(&e, path, cap)))?; - let rows = BlockRows::new(&plan, &block).map_err(|e| loader.refuse(e))?; - loader.feed_rows(ctx, rows).await?; + let remote = sources.iter().any(|s| !matches!(s, CopySource::File(_))); + if secret.is_some() && !remote { + return Err(DdlError::new( + "22023", + "COPY: CREDENTIAL applies to http(s):// and s3:// sources; every source is a server \ + file", + )); } - // The channel closes once the decoder returns. A panic closes it early, - // so the join result tells a whole file from a cut-short one. - decoder - .await - .map_err(|e| DdlError::internal(format!("COPY: GeoTIFF decoder failed: {e}")))?; - loader.finish(ctx).await -} - -/// The error of a decoder that ended before it answered. -async fn decoder_gone(decoder: JoinHandle<()>) -> DdlError { - match decoder.await { - Err(e) => DdlError::internal(format!("COPY: GeoTIFF decoder failed: {e}")), - Ok(()) => DdlError::internal("COPY: GeoTIFF decoder ended before the file was read"), + let client = if remote { + Some( + egress_client( + Arc::clone(ctx.state.remote_sources.egress()), + Arc::new(SystemLookup), + EgressClientOptions { + timeout: None, + connect_timeout: CONNECT_TIMEOUT, + read_timeout: READ_TIMEOUT, + max_redirects: MAX_REDIRECTS, + }, + ) + .map_err(|e| DdlError::internal(format!("COPY: HTTP client: {e}")))?, + ) + } else { + None + }; + let mut names = Vec::with_capacity(sources.len()); + let mut fetches = Vec::with_capacity(sources.len()); + for source in sources { + let (name, fetch) = + transport(ctx, source, client.as_ref(), secret.as_ref(), options).await?; + names.push(name); + fetches.push(fetch); } + let opener = TiffOpener::new().with_image(options.overview.unwrap_or(0)); + let fetch = Arc::new(SourceSet::new(fetches)); + drive_raster(ctx, array, &names, opener, fetch, options).await } -/// The decode task. It ends early once the load drops its side: a refused -/// file, a refused row, or a cancelled statement. -fn decode_file( - file: std::fs::File, - cap: usize, - header_tx: oneshot::Sender, - go: oneshot::Receiver<()>, - blocks: mpsc::Sender, -) { - let opened = GeoTiffReader::open(BufReader::new(file), RasterLimits::new(cap)) - .and_then(|reader| header_of(&reader).map(|header| (reader, header))); - let mut reader = match opened { - Ok((reader, header)) => { - if header_tx.send(Ok(header)).is_err() { - return; - } - reader +/// The display name and transport of `source`. +async fn transport( + ctx: &ArrayLoadCtx<'_>, + source: &CopySource, + client: Option<&reqwest::Client>, + secret: Option<&CredentialSecret>, + options: &CopyRasterOptions, +) -> Result<(String, SourceFetch), DdlError> { + let client = || { + client + .cloned() + .ok_or_else(|| DdlError::internal("COPY: a remote source has no HTTP client")) + }; + match source { + CopySource::File(path) => { + let file = CopySourceFile::open(path).await?.into_std().await; + Ok(( + path.clone(), + SourceFetch::Local(LocalFile::new(file, path.clone())), + )) } - Err(e) => { - // A dropped receiver means the load already ended; nothing waits. - let _ = header_tx.send(Err(e)); - return; + CopySource::Http(text) => { + let url = reqwest::Url::parse(text) + .map_err(|_| DdlError::new("22023", "COPY: a source URL is malformed"))?; + let name = display_name(&url); + ctx.state + .remote_sources + .egress() + .check_parsed(&url) + .map_err(|error| { + fetch_error(FetchError::Egress { + source_name: name.clone(), + error, + }) + })?; + let auth = match secret { + None => HttpAuth::None, + Some(CredentialSecret::Bearer { token }) => { + HttpAuth::Bearer(Zeroizing::new(token.clone())) + } + Some(CredentialSecret::Sas { token }) => { + HttpAuth::Sas(Zeroizing::new(token.clone())) + } + Some(CredentialSecret::S3 { .. }) => { + return Err(wrong_type(&name, "s3", "s3:// sources")); + } + }; + Ok(( + name, + SourceFetch::Http(HttpRange::new(client()?, url, auth)), + )) } - }; - if go.blocking_recv().is_err() { - return; - } - for index in 0..reader.block_count() { - let block = reader.read_block(index); - let failed = block.is_err(); - if blocks.blocking_send(block).is_err() || failed { - return; + CopySource::S3 { bucket, key } => { + let name = source.display(); + let client = client()?; + let target = match secret { + Some(CredentialSecret::S3 { + access_key_id, + secret_access_key, + region, + session_token, + endpoint, + }) => S3Target { + bucket: bucket.clone(), + key: key.clone(), + region: region.clone(), + endpoint: endpoint.clone(), + keys: Some(S3Keys { + access_key_id: Zeroizing::new(access_key_id.clone()), + secret_access_key: Zeroizing::new(secret_access_key.clone()), + session_token: session_token.clone().map(Zeroizing::new), + }), + requester_pays: options.requester_pays, + }, + Some(other) => { + return Err(wrong_type(&name, other.type_name(), "http(s):// sources")); + } + None => S3Target { + bucket: bucket.clone(), + key: key.clone(), + region: bucket_region(&client, bucket).await.map_err(fetch_error)?, + endpoint: None, + keys: None, + requester_pays: options.requester_pays, + }, + }; + let store = ObjectStoreRange::new(client, target, ctx.state.remote_sources.egress()) + .map_err(fetch_error)?; + Ok((name, SourceFetch::Store(store))) } } } -fn header_of( - reader: &GeoTiffReader, -) -> Result { - Ok(RasterHeader { - width: reader.width(), - height: reader.height(), - bands: reader.band_count(), - sample_type: reader.sample_type(), - transform: reader.transform().map(|gt| gt.0), - srid: reader.srid()?, - nodata: reader.nodata(), - }) +/// Open credential `name` of the statement's tenant. +fn resolve_credential(ctx: &ArrayLoadCtx<'_>, name: &str) -> Result { + let kek = ctx + .state + .remote_sources + .credential_kek + .as_ref() + .ok_or_else(|| { + DdlError::new( + "55000", + "COPY: CREDENTIAL needs a credential key: set [credential_encryption] key_path \ + in the server config", + ) + })?; + let tenant_id = ctx.identity.tenant_id.as_u64(); + let row = ctx + .state + .credentials + .catalog() + .get_credential(tenant_id, name)? + .ok_or_else(|| { + DdlError::new("42704", format!("COPY: credential '{name}' does not exist")) + })?; + open_secret(kek, tenant_id, name, row.kind.type_name(), &row.sealed) + .map_err(|e| DdlError::new("55000", format!("COPY: credential '{name}': {e}"))) +} + +fn wrong_type(source: &str, kind: &str, applies_to: &str) -> DdlError { + DdlError::new( + "22023", + format!("COPY: '{source}': a credential of TYPE '{kind}' applies to {applies_to}"), + ) +} + +fn fetch_error(e: FetchError) -> DdlError { + DdlError::new(e.sqlstate(), format!("COPY: {e}")) } diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/entry.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/entry.rs index 4ec8966e6..3e739c68d 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/entry.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/copy_from/entry.rs @@ -3,9 +3,11 @@ //! Entry point: `copy_from_file`, the privilege and path checks, and the //! engine's bulk-load route, which `EngineRules::plan_bulk_load` answers. //! -//! A server-path `COPY` reads a file as the server's OS user, so only a -//! superuser may run it. The file is opened once, and every later check and -//! read uses that handle. +//! A `COPY ... FROM` reads a file as the server's OS user, or fetches a +//! remote raster from the server's network, so only a superuser may run it. +//! A server file is opened once, and every later check and read uses that +//! handle. Text formats read one server file. A raster reads one or more +//! sources: server files, `http(s)://` URLs or `s3://` objects. //! //! The result type is [`DdlResult`] / [`DdlError`] throughout. Each error //! site builds a `DdlError` directly via [`ddl_err`] so the whole call chain @@ -14,7 +16,7 @@ use nodedb_types::DatabaseId; use nodedb_sql::SqlError; -use nodedb_sql::ddl_ast::statement::{CopyFormat, CopyRasterOptions, CopyStdinFormat}; +use nodedb_sql::ddl_ast::statement::{CopyFormat, CopyRasterOptions, CopySource, CopyStdinFormat}; use crate::control::planner::context::{BulkLoadRoute, QueryContext}; use crate::control::security::identity::AuthenticatedIdentity; @@ -45,7 +47,7 @@ pub struct CopyFromOptions<'a> { pub format: Option<&'a CopyFormat>, pub delimiter: Option, pub header: bool, - /// `BANDS`, `NODATA` and `TIME`. Empty unless `format` is `GeoTiff`. + /// The raster options. Empty unless `format` is `GeoTiff`. pub raster: &'a CopyRasterOptions, } @@ -56,12 +58,12 @@ enum RowFormat { Csv(CsvOptions), } -/// Execute `COPY FROM '' [WITH (...)]`. +/// Execute `COPY FROM [WITH (...)]`. pub async fn copy_from_file( state: &SharedState, identity: &AuthenticatedIdentity, collection: &str, - path: &str, + sources: &[CopySource], options: CopyFromOptions<'_>, database_id: DatabaseId, txn_ctx: &DmlTxnCtx<'_>, @@ -75,14 +77,22 @@ pub async fn copy_from_file( require_superuser(identity, "COPY ... FROM ''")?; authorize_write_target(state, identity, database_id, collection)?; - validate_path(path, "COPY")?; + for source in sources { + if let CopySource::File(path) = source { + validate_path(path, "COPY")?; + } + } + let first = sources + .first() + .ok_or_else(|| ddl_err("42601", "COPY: FROM names no source"))?; + let shown = first.display(); // Determine format (caller has already auto-detected from extension; this is a safety net). let resolved_format = format.ok_or_else(|| { ddl_err( "42601", format!( - "COPY: cannot infer format for '{path}'; \ + "COPY: cannot infer format for '{shown}'; \ add WITH (FORMAT ndjson|json|csv|geotiff)" ), ) @@ -102,7 +112,7 @@ pub async fn copy_from_file( database_id, txn_ctx, }; - return copy_array_from_file(&ctx, collection, path, options).await; + return copy_array_from_file(&ctx, collection, sources, options).await; } let row_format = match resolved_format { @@ -119,6 +129,7 @@ pub async fn copy_from_file( )); } }; + let path = single_file(sources)?; let bytes = CopySourceFile::open(path).await?.read_all().await?; // Each row fires its collection's BEFORE, INSTEAD OF and SYNC AFTER @@ -186,7 +197,7 @@ pub(super) fn bulk_load_refusal(e: SqlError, tenant_id: nodedb_types::TenantId) async fn copy_array_from_file( ctx: &ArrayLoadCtx<'_>, array: &str, - path: &str, + sources: &[CopySource], options: CopyFromOptions<'_>, ) -> Result, DdlError> { let CopyFromOptions { @@ -198,7 +209,7 @@ async fn copy_array_from_file( match format { Some(CopyFormat::Csv) => {} Some(CopyFormat::GeoTiff) => { - let rows = copy_raster(ctx, array, path, raster).await?; + let rows = copy_raster(ctx, array, sources, raster).await?; return Ok(vec![DdlResult::Status { command: format!("COPY {rows}"), rows_affected: None, @@ -211,6 +222,7 @@ async fn copy_array_from_file( )); } } + let path = single_file(sources)?; let format = TextFormat { format: CopyStdinFormat::Csv, delimiter, @@ -233,6 +245,18 @@ async fn copy_array_from_file( }]) } +/// The one server file a text format reads. +fn single_file(sources: &[CopySource]) -> Result<&str, DdlError> { + match sources { + [CopySource::File(path)] => Ok(path), + _ => Err(ddl_err( + "0A000", + "COPY: text formats read one server file; HTTP and S3 sources and source lists \ + need FORMAT geotiff", + )), + } +} + /// Wrap a row-level error to include the row number in the message. /// /// Row-level import helpers (`import_csv`, `import_ndjson`, `import_json_array`) diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/describe_array.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/describe_array.rs index aceb431cd..a36017daa 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/describe_array.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/describe_array.rs @@ -5,12 +5,15 @@ //! Arrays live in the array catalog, not in `StoredCollection`. The result //! uses the DESCRIBE COLLECTION columns: one row per dim, one row per attr, //! then `__storage`, `__tile_extents`, and `__georef` when the array has one. +//! An attr's type carries its metadata clauses in DDL form: +//! `UINT16 NODATA 0.0 SCALE 2.75e-5 OFFSET -0.2 UNITS 'reflectance'`. use nodedb_array::schema::{ArraySchema, DimType}; use nodedb_array::types::domain::DomainBound; use nodedb_types::{DatabaseId, TenantId}; use serde_json::{Map, Value as JsonValue}; +use crate::control::array_catalog::attr_meta::{meta_ast, meta_sql}; use crate::control::array_catalog::georef::{georef_ast, georef_sql}; use crate::control::server::response_shape::types::{DdlColType, ShapedRows}; use crate::control::state::SharedState; @@ -69,7 +72,12 @@ fn rows(schema: &ArraySchema) -> Vec> { } for attr in &schema.attrs { let nullable = if attr.nullable { "true" } else { "false" }; - rows.push(row(&attr.name, attr.dtype.sql_name(), nullable)); + let ty = format!( + "{}{}", + attr.dtype.sql_name(), + meta_sql(&meta_ast(&attr.meta)) + ); + rows.push(row(&attr.name, &ty, nullable)); } rows.push(row("__storage", "array", "false")); let extents: Vec = schema.tile_extents.iter().map(u64::to_string).collect(); @@ -153,10 +161,38 @@ mod tests { assert_eq!(field(&rows, "__georef"), None); } + #[test] + fn attr_rows_show_their_metadata() { + let schema = ArraySchemaBuilder::new("scene") + .dim(DimSpec::new( + "row", + DimType::Int64, + Domain::new(DomainBound::Int64(0), DomainBound::Int64(9)), + )) + .attr(AttrSpec::new("red", AttrType::UInt16, true).with_meta( + nodedb_array::schema::AttrMeta { + nodata: Some(0.0), + scale: Some(0.0000275), + offset: Some(-0.2), + units: Some("reflectance".into()), + }, + )) + .attr(AttrSpec::new("qa", AttrType::Int8, true)) + .tile_extents(vec![10]) + .build() + .unwrap(); + let rows = rows(&schema); + assert_eq!( + field(&rows, "red").as_deref(), + Some("UINT16 NODATA 0.0 SCALE 2.75e-5 OFFSET -0.2 UNITS 'reflectance'") + ); + assert_eq!(field(&rows, "qa").as_deref(), Some("INT8")); + } + #[test] fn rows_show_the_georef() { let rows = rows(&schema(Some(ArrayGeoref { - srid: nodedb_types::geometry::Srid::Utm47N, + srid: nodedb_types::geometry::Srid::new(32647).expect("srid"), x_dim: 1, y_dim: 0, transform: Some(GeoTransform([600_000.0, 10.0, 0.0, 700_000.0, 0.0, -10.0])), diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/dml/parse/statement.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/dml/parse/statement.rs index 9c4e0136c..7e73d0951 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/dml/parse/statement.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/dml/parse/statement.rs @@ -36,6 +36,7 @@ pub(in crate::control::server::shared::ddl::neutral::collection) fn parse_write_ sql: &str, keyword: &str, ) -> Option> { + let crs = crate::control::crs_context::crs_context_for(state); let (sql, returning_clause) = split_returning(sql); let kw_pos = find_ascii_case_insensitive(sql, keyword)?; let after_into = sql[kw_pos + keyword.len()..].trim_start(); @@ -75,7 +76,13 @@ pub(in crate::control::server::shared::ddl::neutral::collection) fn parse_write_ // The preprocessed SQL is always INSERT INTO regardless of original keyword. Ok(Some(preprocessed)) => { return with_returning( - parse_values_form(&preprocessed.sql, "INSERT INTO ", &coll_name, coll_type), + parse_values_form( + &preprocessed.sql, + "INSERT INTO ", + &coll_name, + coll_type, + &crs, + ), returning_clause, ); } @@ -90,7 +97,7 @@ pub(in crate::control::server::shared::ddl::neutral::collection) fn parse_write_ } with_returning( - parse_values_form(sql, keyword, &coll_name, coll_type), + parse_values_form(sql, keyword, &coll_name, coll_type, &crs), returning_clause, ) } @@ -133,6 +140,7 @@ fn parse_values_form( keyword: &str, coll_name: &str, coll_type: Option, + crs: &nodedb_crs::CrsContext<'_>, ) -> Option> { let first_open = match sql.find('(') { Some(p) => p, @@ -162,7 +170,7 @@ fn parse_values_form( }; let mut rows = Vec::with_capacity(tuples.len()); for tuple in tuples { - match parse_row(&columns, tuple) { + match parse_row(&columns, tuple, crs) { Ok(row) => rows.push(row), Err(error) => return Some(Err(error)), } @@ -178,7 +186,11 @@ fn parse_values_form( } /// One `VALUES` tuple matched against the column list. -fn parse_row(columns: &[&str], tuple: &str) -> Result { +fn parse_row( + columns: &[&str], + tuple: &str, + crs: &nodedb_crs::CrsContext<'_>, +) -> Result { let values: Vec<&str> = split_values(tuple); if columns.len() != values.len() { return Err(ddl_err( @@ -201,7 +213,7 @@ fn parse_row(columns: &[&str], tuple: &str) -> Result { { doc_id = val.trim_matches('\'').to_string(); } - fields.insert(col.to_string(), parse_sql_value(val)); + fields.insert(col.to_string(), parse_sql_value(val, crs)); } if doc_id.is_empty() { doc_id = nodedb_types::id_gen::uuid_v7(); @@ -216,9 +228,15 @@ mod tests { #[test] fn values_keyword_after_unicode_identifier_preserves_original_offsets() { let sql = "INSERT INTO tffff (a) VALUES (42)"; - let parsed = parse_values_form(sql, "INSERT INTO ", "tffff", None) - .expect("statement should be recognized") - .expect("statement should parse"); + let parsed = parse_values_form( + sql, + "INSERT INTO ", + "tffff", + None, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("statement should be recognized") + .expect("statement should parse"); assert_eq!( parsed.rows[0].fields.get("a"), Some(&nodedb_types::Value::Integer(42)) @@ -228,9 +246,15 @@ mod tests { #[test] fn every_values_row_parses_in_order() { let sql = "UPSERT INTO c (key, n) VALUES ('a', 2), ('b', 3);"; - let parsed = parse_values_form(sql, "UPSERT INTO ", "c", None) - .expect("statement should be recognized") - .expect("statement should parse"); + let parsed = parse_values_form( + sql, + "UPSERT INTO ", + "c", + None, + &nodedb_crs::CrsContext::builtin_only(), + ) + .expect("statement should be recognized") + .expect("statement should parse"); let keys: Vec<&str> = parsed.rows.iter().map(|row| row.doc_id.as_str()).collect(); assert_eq!(keys, vec!["a", "b"]); assert_eq!( diff --git a/nodedb/src/control/server/shared/ddl/neutral/collection/register.rs b/nodedb/src/control/server/shared/ddl/neutral/collection/register.rs index 1f9f2d4c2..096d7dd8b 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/collection/register.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/collection/register.rs @@ -412,6 +412,7 @@ pub(crate) fn build_doc_config_from_stored( vector_fields: declared_vector_fields(coll), declared_columns: declared_columns(coll), declared_key: crate::control::planner::catalog_adapter::document_declared_key(coll), + incarnation: coll.incarnation, } } @@ -438,6 +439,7 @@ async fn dispatch_register_from_stored_inner( vector_fields: config.vector_fields.clone(), declared_columns: config.declared_columns.clone(), declared_key: config.declared_key.clone(), + incarnation: config.incarnation, }, ); diff --git a/nodedb/src/control/server/shared/ddl/neutral/crdt_ops.rs b/nodedb/src/control/server/shared/ddl/neutral/crdt_ops.rs index c111bdbec..218457dea 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/crdt_ops.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/crdt_ops.rs @@ -213,16 +213,20 @@ pub async fn crdt_apply( // collection)`, so the policy must be handed that same key or it silently // misses a policy on a non-default database. let qualified_collection = db_qualified(database_id, collection); + let crs_set = crate::control::crs_context::crs_set_for(state); let policy = ExternalCrdtPostImagePolicy::from_identity( tenant_id, database_id, &qualified_collection, identity, "sql".into(), - &state.rls, - &audit, + crate::control::crdt_post_image_policy::PolicyServices { + rls: &state.rls, + audit: &audit, + crs_set: &crs_set, + }, ) - .with_type_guards_from(state.credentials.catalog(), database_id); + .with_type_guards_from(state, database_id); crate::control::crdt_admission::dispatch_authorized_crdt_apply_admitted( state, crate::control::crdt_admission::AuthorizedCrdtApplyAdmissionRequest { diff --git a/nodedb/src/control/server/shared/ddl/neutral/credential.rs b/nodedb/src/control/server/shared/ddl/neutral/credential.rs new file mode 100644 index 000000000..cfb555c19 --- /dev/null +++ b/nodedb/src/control/server/shared/ddl/neutral/credential.rs @@ -0,0 +1,267 @@ +// SPDX-License-Identifier: BUSL-1.1 + +//! Protocol-neutral `CREATE CREDENTIAL`, `DROP CREDENTIAL` and +//! `SHOW CREDENTIALS`. +//! +//! A credential holds the secret a remote `COPY` source authenticates with. +//! Every statement needs a superuser. `CREATE` seals the secret under the +//! `[credential_encryption]` key before it proposes the catalog entry, so +//! the metadata log, the catalog and every snapshot hold ciphertext only. +//! `SHOW CREDENTIALS` lists names, types and owners, never a secret. Each +//! statement records an audit event, and so does each refusal for lack of +//! privilege. + +use serde_json::{Map, Value as JsonValue}; + +use nodedb_sql::ddl_ast::statement::CredentialSpec; + +use crate::control::catalog_entry::CatalogEntry; +use crate::control::propose_outcome::ProposeOutcome; +use crate::control::security::audit::AuditEvent; +use crate::control::security::identity::AuthenticatedIdentity; +use crate::control::security::source_credential::{ + CredentialKind, CredentialSecret, StoredCredential, seal_secret, +}; +use crate::control::server::response_shape::types::ShapedRows; +use crate::control::state::SharedState; + +use super::super::result::{DdlError, DdlResult}; + +/// SQLSTATE of a credential name that is taken. +const DUPLICATE_OBJECT: &str = "42710"; +/// SQLSTATE of a drop of a credential that does not exist. +const UNDEFINED_OBJECT: &str = "42704"; +/// SQLSTATE of a server with no credential key. +const NOT_CONFIGURED: &str = "55000"; + +/// Handle `CREATE CREDENTIAL (TYPE ..., ...)`. +pub async fn create_credential( + state: &SharedState, + identity: &AuthenticatedIdentity, + name: &str, + spec: &CredentialSpec, +) -> Result, DdlError> { + const COMMAND: &str = "CREATE CREDENTIAL"; + require_superuser(state, identity, COMMAND)?; + let kek = state + .remote_sources + .credential_kek + .as_ref() + .ok_or_else(|| { + DdlError::new( + NOT_CONFIGURED, + "CREATE CREDENTIAL needs a credential key: set [credential_encryption] key_path \ + in the server config", + ) + })?; + let tenant_id = identity.tenant_id.as_u64(); + let catalog = state.credentials.catalog(); + if catalog.get_credential(tenant_id, name)?.is_some() { + return Err(exists(name)); + } + let (kind, secret) = secret_of(state, spec)?; + let sealed = seal_secret(kek, tenant_id, name, &secret) + .map_err(|e| DdlError::internal(format!("{COMMAND} {name}: {e}")))?; + let row = StoredCredential { + tenant_id, + name: name.to_string(), + kind, + sealed: sealed.clone(), + owner: identity.username.clone(), + created_at_ms: now_ms(), + }; + // The proposal carries the statement's audit context into the metadata + // log. `AuditCtx::for_statement` installed its redacted text. + let entry = CatalogEntry::PutCredential(Box::new(row)); + let outcome = crate::control::metadata_proposer::propose_catalog_entry_async(state, &entry) + .await + .map_err(|e| DdlError::from_error_in_context("metadata propose", &e))?; + if let ProposeOutcome::Replicated { .. } = outcome { + // A racing CREATE of the same name commits first when the log + // orders it first, and the apply keeps its row. + match catalog.get_credential(tenant_id, name)? { + Some(stored) if stored.sealed == sealed => {} + Some(_) => return Err(exists(name)), + None => { + return Err(DdlError::internal(format!( + "{COMMAND} {name}: the committed entry wrote no row" + ))); + } + } + } + audit( + state, + identity, + &format!("{COMMAND} {name} (TYPE '{}')", kind.type_name()), + ); + Ok(status(COMMAND)) +} + +/// Handle `DROP CREDENTIAL [IF EXISTS] `. +pub async fn drop_credential( + state: &SharedState, + identity: &AuthenticatedIdentity, + name: &str, + if_exists: bool, +) -> Result, DdlError> { + const COMMAND: &str = "DROP CREDENTIAL"; + require_superuser(state, identity, COMMAND)?; + let tenant_id = identity.tenant_id.as_u64(); + if state + .credentials + .catalog() + .get_credential(tenant_id, name)? + .is_none() + { + if if_exists { + return Ok(status(COMMAND)); + } + return Err(DdlError::new( + UNDEFINED_OBJECT, + format!("credential '{name}' does not exist"), + )); + } + let entry = CatalogEntry::DropCredential { + tenant_id, + name: name.to_string(), + }; + crate::control::metadata_proposer::propose_catalog_entry_async(state, &entry) + .await + .map_err(|e| DdlError::from_error_in_context("metadata propose", &e))?; + audit(state, identity, &format!("{COMMAND} {name}")); + Ok(status(COMMAND)) +} + +/// Handle `SHOW CREDENTIALS`: name, type, owner and creation time. +pub fn show_credentials( + state: &SharedState, + identity: &AuthenticatedIdentity, +) -> Result, DdlError> { + require_superuser(state, identity, "SHOW CREDENTIALS")?; + let rows = state + .credentials + .catalog() + .list_credentials(identity.tenant_id.as_u64())?; + let columns = ["name", "type", "owner", "created_at_ms"] + .map(str::to_string) + .to_vec(); + let rows = rows + .iter() + .map(|row| { + let mut out = Map::new(); + out.insert("name".into(), JsonValue::String(row.name.clone())); + out.insert( + "type".into(), + JsonValue::String(row.kind.type_name().to_string()), + ); + out.insert("owner".into(), JsonValue::String(row.owner.clone())); + out.insert( + "created_at_ms".into(), + JsonValue::String(row.created_at_ms.to_string()), + ); + out + }) + .collect(); + Ok(vec![DdlResult::Rows(ShapedRows::text_rows(columns, rows))]) +} + +/// The kind and secret `spec` describes. An S3 endpoint must pass the +/// egress policy. +fn secret_of( + state: &SharedState, + spec: &CredentialSpec, +) -> Result<(CredentialKind, CredentialSecret), DdlError> { + Ok(match spec { + CredentialSpec::S3 { + access_key_id, + secret_access_key, + region, + session_token, + endpoint, + } => { + if let Some(url) = endpoint { + state + .remote_sources + .egress() + .check_url(url) + .map_err(|e| DdlError::new("22023", format!("ENDPOINT: {e}")))?; + } + ( + CredentialKind::S3, + CredentialSecret::S3 { + access_key_id: access_key_id.expose().to_string(), + secret_access_key: secret_access_key.expose().to_string(), + region: region.clone(), + session_token: session_token.as_ref().map(|t| t.expose().to_string()), + endpoint: endpoint.clone(), + }, + ) + } + CredentialSpec::Bearer { token } => ( + CredentialKind::Bearer, + CredentialSecret::Bearer { + token: token.expose().to_string(), + }, + ), + CredentialSpec::Sas { token } => ( + CredentialKind::Sas, + CredentialSecret::Sas { + token: token.expose().to_string(), + }, + ), + }) +} + +fn exists(name: &str) -> DdlError { + DdlError::new( + DUPLICATE_OBJECT, + format!("credential '{name}' already exists; DROP CREDENTIAL {name} first"), + ) +} + +fn status(command: &str) -> Vec { + vec![DdlResult::Status { + command: command.to_string(), + rows_affected: None, + }] +} + +fn audit(state: &SharedState, identity: &AuthenticatedIdentity, detail: &str) { + state.audit_record_with_db( + AuditEvent::DdlChange, + Some(identity.tenant_id), + None, + &identity.username, + detail, + ); +} + +fn now_ms() -> u64 { + std::time::SystemTime::now() + .duration_since(std::time::UNIX_EPOCH) + .map(|d| u64::try_from(d.as_millis()).unwrap_or(u64::MAX)) + .unwrap_or(0) +} + +/// Superuser gate: on denial it records `AuditEvent::PermissionDenied` and +/// returns SQLSTATE 42501. +fn require_superuser( + state: &SharedState, + identity: &AuthenticatedIdentity, + action: &str, +) -> Result<(), DdlError> { + if identity.is_superuser { + return Ok(()); + } + state.audit_record_with_db( + AuditEvent::PermissionDenied, + Some(identity.tenant_id), + None, + &identity.username, + action, + ); + Err(DdlError::new( + "42501", + format!("permission denied: {action} requires superuser"), + )) +} diff --git a/nodedb/src/control/server/shared/ddl/neutral/dsl/crdt_merge.rs b/nodedb/src/control/server/shared/ddl/neutral/dsl/crdt_merge.rs index 3a0af1d0a..3ea7f60a3 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/dsl/crdt_merge.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/dsl/crdt_merge.rs @@ -150,16 +150,20 @@ pub async fn crdt_merge( // collection, and the preview addresses the Data Plane by it. let qualified_collection = crate::control::planner::sql_plan_convert::convert::db_qualified(database_id, collection); + let crs_set = crate::control::crs_context::crs_set_for(state); let policy = ExternalCrdtPostImagePolicy::from_identity( tenant_id, database_id, &qualified_collection, identity, "sql".into(), - &state.rls, - &audit, + crate::control::crdt_post_image_policy::PolicyServices { + rls: &state.rls, + audit: &audit, + crs_set: &crs_set, + }, ) - .with_type_guards_from(state.credentials.catalog(), database_id); + .with_type_guards_from(state, database_id); crate::control::crdt_admission::dispatch_authorized_crdt_apply_admitted( state, crate::control::crdt_admission::AuthorizedCrdtApplyAdmissionRequest { diff --git a/nodedb/src/control/server/shared/ddl/neutral/dsl/search_fusion.rs b/nodedb/src/control/server/shared/ddl/neutral/dsl/search_fusion.rs index 8d772c93c..0c518fee1 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/dsl/search_fusion.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/dsl/search_fusion.rs @@ -15,7 +15,7 @@ use crate::control::state::SharedState; use crate::types::DatabaseId; use super::super::super::result::{DdlError, DdlResult}; -use super::super::graph_ops::rag_fusion::rag_fusion; +use super::super::graph_ops::rag_fusion::{RagFusionRequest, rag_fusion}; /// Run a parsed `SEARCH USING FUSION(...)` statement. pub async fn search_fusion( @@ -30,9 +30,13 @@ pub async fn search_fusion( state, identity, database_id, - collection, - params, - linearizable, + RagFusionRequest { + collection, + params, + linearizable, + // `SEARCH ... USING FUSION` reads the current graph. + temporal: nodedb_sql::temporal::TemporalScope::default(), + }, ) .await } diff --git a/nodedb/src/control/server/shared/ddl/neutral/graph_ops/algo.rs b/nodedb/src/control/server/shared/ddl/neutral/graph_ops/algo.rs index a281a0189..e28c5b1b6 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/graph_ops/algo.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/graph_ops/algo.rs @@ -42,6 +42,9 @@ pub struct AlgoRequest<'a> { /// The session reads linearizably: each node the algorithm reads on /// confirms its groups first. pub linearizable: bool, + /// `AS OF SYSTEM TIME` / `AS OF VALID TIME`: the algorithm runs over the + /// graph at that cut. + pub temporal: nodedb_sql::temporal::TemporalScope, } pub async fn algo( @@ -64,6 +67,7 @@ pub async fn algo( mode, personalization, linearizable, + temporal, } = request; let algorithm = resolve_algorithm(algorithm_name)?; @@ -95,6 +99,9 @@ pub async fn algo( }; let tenant_id = identity.tenant_id; + let scope = crate::control::server::graph_dispatch::graph_read_scope(state, &temporal) + .await + .map_err(|e| DdlError::from_error(&e))?; // The algorithm reads every partition of the collection's graph, on every // node that leads a data group (`graph_dispatch::whole_graph`). @@ -104,7 +111,7 @@ pub async fn algo( database_id, algorithm, params, - None, + scope, linearizable, ) .await diff --git a/nodedb/src/control/server/shared/ddl/neutral/graph_ops/dispatch.rs b/nodedb/src/control/server/shared/ddl/neutral/graph_ops/dispatch.rs index 8093d91d9..0e9c074ea 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/graph_ops/dispatch.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/graph_ops/dispatch.rs @@ -35,6 +35,8 @@ pub async fn dispatch_graph( dst, label, properties, + valid_from_ms, + valid_until_ms, }) => Some( edge::insert_edge( state, @@ -46,7 +48,11 @@ pub async fn dispatch_graph( dst, label, }, - properties, + edge::EdgeInsert { + properties, + valid_from_ms, + valid_until_ms, + }, txn_ctx, ) .await, @@ -85,6 +91,7 @@ pub async fn dispatch_graph( edge_labels, direction, edge_predicate, + temporal, }) => { // Every hop of the walk merges the session transaction's staged // edge writes. Idle sessions resolve to `None`. @@ -103,6 +110,7 @@ pub async fn dispatch_graph( edge_predicate, txn_id, linearizable, + temporal, }, ) .await, @@ -113,6 +121,7 @@ pub async fn dispatch_graph( node, edge_labels, direction, + temporal, }) => { // Read-your-own-writes for single-hop GRAPH reads needs the // session's active `TxnId` so the Data Plane merges this @@ -131,6 +140,7 @@ pub async fn dispatch_graph( direction, txn_id, linearizable, + temporal, }, ) .await, @@ -143,6 +153,7 @@ pub async fn dispatch_graph( max_depth, edge_labels, edge_predicate, + temporal, }) => { // Every hop of the path search merges the session transaction's // staged edge writes. Idle sessions resolve to `None`. @@ -161,6 +172,7 @@ pub async fn dispatch_graph( edge_predicate, txn_id, linearizable, + temporal, }, ) .await, @@ -179,6 +191,7 @@ pub async fn dispatch_graph( direction, mode, personalization, + temporal, }) => Some( algo::algo( state, @@ -198,18 +211,26 @@ pub async fn dispatch_graph( mode, personalization, linearizable, + temporal, }, ) .await, ), - NodedbStatement::Graph(GraphStmt::GraphRagFusion { collection, params }) => Some( + NodedbStatement::Graph(GraphStmt::GraphRagFusion { + collection, + params, + temporal, + }) => Some( rag_fusion::rag_fusion( state, identity, database_id, - collection, - params, - linearizable, + rag_fusion::RagFusionRequest { + collection, + params, + linearizable, + temporal, + }, ) .await, ), diff --git a/nodedb/src/control/server/shared/ddl/neutral/graph_ops/edge.rs b/nodedb/src/control/server/shared/ddl/neutral/graph_ops/edge.rs index d35a9ca20..7f824e216 100644 --- a/nodedb/src/control/server/shared/ddl/neutral/graph_ops/edge.rs +++ b/nodedb/src/control/server/shared/ddl/neutral/graph_ops/edge.rs @@ -31,8 +31,17 @@ fn response_affected(response: &crate::bridge::envelope::Response) -> Result`, ms since epoch. `None` takes the write's time. + pub valid_from_ms: Option, + /// `UNTIL `. `None` leaves the valid time open. + pub valid_until_ms: Option, +} + /// `GRAPH INSERT EDGE IN '' FROM '' TO '' TYPE '