petgraph-0.6.4/.cargo_vcs_info.json0000644000000001360000000000100126550ustar { "git": { "sha1": "47302280867627dc58b4dec628c85fe64d656186" }, "path_in_vcs": "" }petgraph-0.6.4/.github/ISSUE_TEMPLATE.md000064400000000000000000000027541046102023000155220ustar 00000000000000 ### Test Case Insert your test case here, ideally in the form of Rust code that creates a graph. ### Steps To Reproduce Insert instructions for reproducing the bug with the above test case: * First, ... * Then, ... * ... Bonus points if these STR are in the form of a `#[test]` that demonstrates the bug, and can be used as a regression test once the bug is fixed ### Actual Results Insert a panic backtrace here, or wrong answer, or whatever. ### Expected Results The correct result / behavior that you expect when following the STR with the test case. Maybe a `None` returned instead of a panic, or some node A instead of the node B that was returned. ### Summary A couple sentence summary of the requested feature. ### Motivation What does adding this feature enable that isn't possible without it? Does it improve performance? Turn dynamic checks into statically enforced properties? Explain why this feature should be implemented. ### Details * What code needs to change? New traits? Which modules? * Is this a new graph algorithm? Include links to papers, Wikipedia, or other implementations of this algorithm that exist. * Are you willing to implement this yourself? Mentor someone else and help them implement it? petgraph-0.6.4/.github/workflows/ci.yml000064400000000000000000000036121046102023000161620ustar 00000000000000on: push: branches: [ master ] pull_request: branches: [ master ] name: Continuous integration env: CARGO_TERM_COLOR: always CARGO_INCREMENTAL: 0 jobs: tests: runs-on: ubuntu-latest strategy: matrix: include: - rust: 1.64.0 # MSRV - rust: stable features: unstable quickcheck test_all: --all - rust: beta test_all: --all - rust: nightly features: unstable quickcheck test_all: --all bench: true steps: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: profile: minimal toolchain: ${{ matrix.rust }} override: true - name: Build run: | cargo build --verbose --no-default-features cargo build --verbose --features "${{ matrix.features }}" - name: Tests run: | cargo test --verbose --no-default-features cargo test ${{ matrix.test_all }} --verbose --features "${{ matrix.features }}" - name: Build benchmarks if: ${{ matrix.bench }} run: | cargo bench --verbose --no-run cargo bench --verbose --no-run --all-features rustfmt: runs-on: ubuntu-latest continue-on-error: true strategy: matrix: include: - rust: stable rustfmt: rustfmt steps: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: profile: minimal toolchain: ${{ matrix.rust }} components: ${{ matrix.rustfmt }} override: true - name: Rustfmt if: matrix.rustfmt run: cargo fmt -- --check miri: runs-on: ubuntu-latest steps: - uses: actions/checkout@v3 - uses: dtolnay/rust-toolchain@nightly with: components: miri - run: cargo miri test petgraph-0.6.4/.gitignore000064400000000000000000000000511046102023000134310ustar 00000000000000# Generated by Cargo /target/ Cargo.lock petgraph-0.6.4/CONTRIBUTING.rst000064400000000000000000000065621046102023000141170ustar 00000000000000Contributing to ``petgraph`` ============================ Hi! We'd love to have your contributions! If you want help or mentorship, reach out to us in a GitHub issue, or ping ``bluss`` in `#rust on irc.mozilla.org`_ and introduce yourself. .. _`\#rust on irc.mozilla.org`: irc://irc.mozilla.org#rust * `Building`_ * `Testing`_ * `Pull Requests`_ * `Bug Fixes`_ * `Performance Improvements`_ * `Implementing New Algorithms`_ * `Where We Need Help`_ * `Team`_ Building -------- :: $ cargo build Testing ------- :: $ cargo test --features all Pull Requests ------------- All pull requests are reviewed by a team_ member before merging. Additionally, different kinds of pull requests have different requirements. Bug Fixes ......... We love getting bug fixes! Make sure to include a regression test, so that we can be sure that we never accidentally re-introduce the bug again. Performance Improvements ........................ You made an algorithm faster? Awesome. When submitting performance improvement, include the following: * A new ``#[bench]`` function that exercises this code path, if one doesn't already exist * Before and after ``cargo bench`` scores, optionally formatted using `cargo-benchcmp`_ .. _`cargo-benchcmp`: https://github.com/BurntSushi/cargo-benchcmp Implementing New Algorithms ........................... Implementing new graph algorithms is encouraged! If you're going to implement a new algorithm, make sure that you do the following: * Add a ``quickcheck`` property test for the new algorithm * Add a ``benchmark`` test for measuring performance of the new algorithm * Document what the algorithm does and in what situations it should be used * Document the big-O running time of the algorithm * Include links to relevant reading materials, such as a paper or Wikipedia * Make the algorithm work with generic graphs, constraining the generic graph type parameter with our existing graph traits, like ``Visitable``, or with new graph traits Any team_ member can review a pull request implementing a new algorithm, but the final decision whether or not the algorithm is appropriate for inclusion in the ``petgraph`` crate is left to ``@bluss``. Additionally, assuming that the new algorithm is merged into ``petgraph``, you are *strongly* encouraged to join the ``petgraph`` team_! *You* are the best person to review any future bug fixes, performance improvements, and whatever other changes that affect this new algorithm. Where We Need Help ------------------ * Issues labeled `"help wanted"`_ are issues where we could use a little help from you. * Issues Labeled `"mentored"`_ are issues that don't really involve any more investigation, just implementation. We've outlined what needs to be done, and a team_ member has volunteered to help whoever claims the issue implement it, and get the implementation merged. .. _`"help wanted"`: https://github.com/bluss/petgraph/issues?q=is%3Aopen+is%3Aissue+label%3A%22help+wanted%22 .. _`"mentored"`: https://github.com/bluss/petgraph/issues?q=is%3Aopen+is%3Aissue+label%3A%22mentored%22 Team ---- The ``petgraph`` team consists of: * ``@bluss`` * ``@fitzgen`` We need more team members to help spread out reviewing and maintenance responsibilities — want to join us? `Drop a comment in this issue!`_ .. _`Drop a comment in this issue!`: https://github.com/bluss/petgraph/issues/TODO petgraph-0.6.4/Cargo.toml0000644000000040020000000000100106470ustar # THIS FILE IS AUTOMATICALLY GENERATED BY CARGO # # When uploading crates to the registry Cargo will automatically # "normalize" Cargo.toml files for maximal compatibility # with all versions of Cargo and also rewrite `path` dependencies # to registry (e.g., crates.io) dependencies. # # If you are reading this file be aware that the original Cargo.toml # will likely look very different (and much more reasonable). # See Cargo.toml.orig for the original contents. [package] edition = "2018" rust-version = "1.64" name = "petgraph" version = "0.6.4" authors = [ "bluss", "mitchmindtree", ] description = "Graph data structure library. Provides graph types and graph algorithms." documentation = "https://docs.rs/petgraph/" readme = "README.md" keywords = [ "data-structure", "graph", "unionfind", "graph-algorithms", ] categories = ["data-structures"] license = "MIT OR Apache-2.0" repository = "https://github.com/petgraph/petgraph" [package.metadata.docs.rs] features = [ "serde-1", "quickcheck", ] [package.metadata.release] no-dev-version = true [profile.bench] debug = 2 [profile.release] [lib] name = "petgraph" bench = false [dependencies.fixedbitset] version = "0.4.0" default-features = false [dependencies.indexmap] version = "2.0" [dependencies.quickcheck] version = "0.8" optional = true default-features = false [dependencies.serde] version = "1.0" optional = true [dependencies.serde_derive] version = "1.0" optional = true [dev-dependencies.bincode] version = "1.3.3" [dev-dependencies.defmac] version = "0.2.1" [dev-dependencies.itertools] version = "0.11.0" default-features = false [dev-dependencies.odds] version = "0.4.0" [dev-dependencies.rand] version = "0.5.5" [features] all = [ "unstable", "quickcheck", "matrix_graph", "stable_graph", "graphmap", ] default = [ "graphmap", "stable_graph", "matrix_graph", ] generate = [] graphmap = [] matrix_graph = [] serde-1 = [ "serde", "serde_derive", ] stable_graph = [] unstable = ["generate"] petgraph-0.6.4/Cargo.toml.orig000064400000000000000000000027121046102023000143360ustar 00000000000000[package] name = "petgraph" version = "0.6.4" readme = "README.md" license = "MIT OR Apache-2.0" authors = [ "bluss", "mitchmindtree", ] description = "Graph data structure library. Provides graph types and graph algorithms." documentation = "https://docs.rs/petgraph/" repository = "https://github.com/petgraph/petgraph" keywords = ["data-structure", "graph", "unionfind", "graph-algorithms"] categories = ["data-structures"] rust-version = "1.64" edition = "2018" [package.metadata.docs.rs] features = ["serde-1", "quickcheck"] [package.metadata.release] no-dev-version = true [lib] bench = false name = "petgraph" [profile.release] [profile.bench] debug = true [dependencies] fixedbitset = { version = "0.4.0", default-features = false } indexmap = "2.0" quickcheck = { optional = true, version = "0.8", default-features = false } serde = { version = "1.0", optional = true } serde_derive = { version = "1.0", optional = true } [dev-dependencies] bincode = "1.3.3" defmac = "0.2.1" itertools = { version = "0.11.0", default-features = false } odds = { version = "0.4.0" } rand = "0.5.5" [features] # feature flags for testing use only all = ["unstable", "quickcheck", "matrix_graph", "stable_graph", "graphmap"] default = ["graphmap", "stable_graph", "matrix_graph"] generate = [] # For unstable features graphmap = [] matrix_graph = [] serde-1 = ["serde", "serde_derive"] stable_graph = [] unstable = ["generate"] [workspace] members = ["serialization-tests"] petgraph-0.6.4/LICENSE-APACHE000064400000000000000000000251371046102023000134010ustar 00000000000000 Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. 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See the License for the specific language governing permissions and limitations under the License. petgraph-0.6.4/LICENSE-MIT000064400000000000000000000020231046102023000130760ustar 00000000000000Copyright (c) 2015 Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. petgraph-0.6.4/Makefile000064400000000000000000000017261046102023000131130ustar 00000000000000DOCCRATES = petgraph fixedbitset # deps to delete the generated docs RMDOCS = FEATURES = unstable VERSIONS = $(patsubst %,target/VERS/%,$(DOCCRATES)) docs: mkdocs mksvgs subst $(RMDOCS) # https://www.gnu.org/software/make/manual/html_node/Automatic-Variables.html $(VERSIONS): Cargo.toml mkdir -p $(@D) cargo pkgid $(@F) | sed -e "s/.*#\(\|.*:\)//" > "$@" $(DOCCRATES): %: target/VERS/% # Put in the crate version into the docs find ./doc/$@ -name "*.html" -exec sed -i -e "s/\(.*\) - Rust/<title>$@ $(shell cat $<) - \1 - Rust/g" {} \; subst: $(DOCCRATES) mkdocs: Cargo.toml cargo doc --features=$(FEATURES) rm -rf ./doc cp -r ./target/doc ./doc - cat ./custom.css >> doc/main.css $(RMDOCS): mkdocs rm -r ./doc/$@ sed -i "/searchIndex\['$@'\]/d" doc/search-index.js mksvgs: mkdocs graph-example.dot dot -Tsvg < ./graph-example.dot > graph-example.svg mv graph-example.svg ./doc/petgraph/graph/ .PHONY: docs mkdocs mksvgs subst $(DOCCRATES) $(RMDOCS) ������������������������������������������petgraph-0.6.4/README.md����������������������������������������������������������������������������0000644�0000000�0000000�00000002616�10461020230�0012731�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������# petgraph Graph data structure library. Please read the [API documentation here][]. Supports Rust 1.64 and later. [![build_status][]](https://github.com/petgraph/petgraph/actions) [![crates][]](https://crates.io/crates/petgraph) [![gitter][]](https://gitter.im/petgraph-rs/community?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge) Crate feature flags: - `graphmap` (default) enable `GraphMap`. - `stable_graph` (default) enable `StableGraph`. - `matrix_graph` (default) enable `MatrixGraph`. - `serde-1` (optional) enable serialization for `Graph, StableGraph, GraphMap` using serde 1.0. Requires Rust version as required by serde. ## Recent Changes See [RELEASES][] for a list of changes. The minimum supported rust version will only change on major releases. ## License Dual-licensed to be compatible with the Rust project. Licensed under the Apache License, Version 2.0 <http://www.apache.org/licenses/LICENSE-2.0> or the MIT license <http://opensource.org/licenses/MIT>, at your option. This file may not be copied, modified, or distributed except according to those terms. [API documentation here]: https://docs.rs/petgraph/ [build_status]: https://github.com/petgraph/petgraph/workflows/Continuous%20integration/badge.svg?branch=master [crates]: https://img.shields.io/crates/v/petgraph [gitter]: https://badges.gitter.im/petgraph-rs/community.svg [RELEASES]: RELEASES.rst ������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/RELEASES.rst�������������������������������������������������������������������������0000644�0000000�0000000�00000047650�10461020230�0013416�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������Version 0.6.4 (2023-08-21) ========================== - Update ``indexmap`` to 2.0.0 (`#568`_) - Fix typos (`#544`_) .. _`#544`: https://github.com/petgraph/petgraph/pull/544 .. _`#568`: https://github.com/petgraph/petgraph/pull/568 Version 0.6.3 (2023-02-07) ========================== - Added an iterator over subgraph isomorphisms (`#500`_) - Added serde support on ``GraphMap`` (`#496`_) - Added ``reverse`` method for ``StableGraph`` (`#533`_) - Added ``edges_connecting`` iterator for ``StableGraph`` (`#521`_) - Fix Floyd-Warshall algorithm behaviour on undirected graphs (`487`_) - Fix IntoEdgesDirected implementation for NodeFiltered when direction is Incoming (`476`_) - Fix cardinality check in subgraph isomorphism (`472`_) - Fix UB in ``MatrixGraph`` (`#505`_) .. _`#472`: https://github.com/petgraph/petgraph/issues/472 .. _`#476`: https://github.com/petgraph/petgraph/issues/476 .. _`#487`: https://github.com/petgraph/petgraph/issues/487 .. _`#496`: https://github.com/petgraph/petgraph/issues/496 .. _`#500`: https://github.com/petgraph/petgraph/issues/500 .. _`#505`: https://github.com/petgraph/petgraph/issues/505 .. _`#521`: https://github.com/petgraph/petgraph/issues/521 .. _`#533`: https://github.com/petgraph/petgraph/issues/533 Version 0.6.2 (2022-05-28) ========================== - Loosed the strict version dependency set in `493`_, to allow users to use newer versions of indexmap (`495`_). .. _`#495`: https://github.com/petgraph/petgraph/issues/493 Version 0.6.1 (2022-05-22) ========================== - Added clarifications on Graph docs (`491`_). - Fix build errors on rust 1.41 (`493`_). .. _`#491`: https://github.com/petgraph/petgraph/issues/491 .. _`#493`: https://github.com/petgraph/petgraph/issues/493 Version 0.6.0 (2021-07-04) ========================== Breaking changes ---------------- - MSRV is now 1.41 (`#444`_). - Removed the ``NodeCompactIndexable`` trait impl for ``MatrixGraph`` (`#429`_). - The ``IntoEdges::edges`` implementations are now required return edges with the passed node as source (`#433`_). New features ------------ - Multiple documentation improvements (`#360`_, `#383`_, `#426`_, `#433`_, `#437`_, `#443`_, `#450`_). - Added an ``immediately_dominated_by`` method to the dominators result (`#337`_). - Added ``adj::List``, a new append-only graph type using a simple adjacency list with no node-weights (`#263`_). - Added ``dag_to_toposorted_adjacency_list`` and ``dag_transitive_reduction_closure`` algorithms to transitively reduce an acyclic graph (`#263`_). - Made the ``is_isomorphic`` algorithm generic on both graph types (`#369`_). - Implement Debug and Clone for all the iterators (`#418`_). - Implement multiple mising traits on graph implementations and adapters (`#405`_, `#429`_). - Add an EdgeIndexable public trait (`#402`_). - Added immutable ``node_weights`` and ``edge_weights`` methods for ``Graph`` and ``StableGraph`` (`#363`_). New algorithms -------------- - Added a k-shortest-path implementation (`#328`_). - Added a generic graph complement implementation (`#371`_). - Added a maximum matching implementation (`#400`_). - Added a Floyd-Warshall shortest path algorithm (`#377`_). - Added a greedy feedback arc set algorithm (`#386`_). - Added a `find_negative_cycle` algorithm (`#434`_). Performance ----------- - Reuse the internal state in ``tarjan_scc`` (`#313`_) - Reduce memory usage in ``tarjan_scc`` (`#413`_). - Added tighter size hints to all iterators (`#380`_). - Optimized ``petgraph::dot`` a bit (`#424`_). - Optimized StableGraph de-serialization with holes (`#395`_). Bug fixes --------- - Fixed A* not producing optimal solutions with inconsistent heuristics (`#379`_). - Fixed a stacked borrow violation (`#404`_). - Fixed a panic in ``StableGraph::extend_with_edges`` (`#415`_). - Fixed multiple bugs in the matrix graph implementation (`#427`_). - Fixed ``GraphMap::remove_node`` not removing some edges (`#432`_). - Fixed all clippy warnings (`#440`_, `#449`_). Other changes ------------- - Now using github actions as CI (`#391`_). - Replace matchs on `Option<T>` with `map` (`#381`_). - Added benchmarks for ``tarjan_scc`` (`#421`_). .. _`#263`: https://github.com/petgraph/petgraph/issues/263 .. _`#313`: https://github.com/petgraph/petgraph/issues/313 .. _`#328`: https://github.com/petgraph/petgraph/issues/328 .. _`#337`: https://github.com/petgraph/petgraph/issues/337 .. _`#360`: https://github.com/petgraph/petgraph/issues/360 .. _`#363`: https://github.com/petgraph/petgraph/issues/363 .. _`#369`: https://github.com/petgraph/petgraph/issues/369 .. _`#371`: https://github.com/petgraph/petgraph/issues/371 .. _`#377`: https://github.com/petgraph/petgraph/issues/377 .. _`#379`: https://github.com/petgraph/petgraph/issues/378 .. _`#380`: https://github.com/petgraph/petgraph/issues/380 .. _`#381`: https://github.com/petgraph/petgraph/issues/381 .. _`#383`: https://github.com/petgraph/petgraph/issues/383 .. _`#386`: https://github.com/petgraph/petgraph/issues/386 .. _`#391`: https://github.com/petgraph/petgraph/issues/391 .. _`#395`: https://github.com/petgraph/petgraph/issues/395 .. _`#400`: https://github.com/petgraph/petgraph/issues/400 .. _`#402`: https://github.com/petgraph/petgraph/issues/402 .. _`#404`: https://github.com/petgraph/petgraph/issues/404 .. _`#405`: https://github.com/petgraph/petgraph/issues/405 .. _`#413`: https://github.com/petgraph/petgraph/issues/413 .. _`#415`: https://github.com/petgraph/petgraph/issues/415 .. _`#418`: https://github.com/petgraph/petgraph/issues/418 .. _`#421`: https://github.com/petgraph/petgraph/issues/421 .. _`#424`: https://github.com/petgraph/petgraph/issues/424 .. _`#426`: https://github.com/petgraph/petgraph/issues/426 .. _`#427`: https://github.com/petgraph/petgraph/issues/427 .. _`#429`: https://github.com/petgraph/petgraph/issues/429 .. _`#432`: https://github.com/petgraph/petgraph/issues/432 .. _`#433`: https://github.com/petgraph/petgraph/issues/433 .. _`#434`: https://github.com/petgraph/petgraph/issues/434 .. _`#437`: https://github.com/petgraph/petgraph/issues/437 .. _`#440`: https://github.com/petgraph/petgraph/issues/440 .. _`#443`: https://github.com/petgraph/petgraph/issues/443 .. _`#444`: https://github.com/petgraph/petgraph/issues/444 .. _`#449`: https://github.com/petgraph/petgraph/issues/449 .. _`#450`: https://github.com/petgraph/petgraph/issues/450 Version 0.5.1 (2020-05-23) ========================== - Implement ``Default`` for traversals. - Export ``EdgesConnecting`` publicly. - Implement ``is_bipartite_graph``. - Add ``FilterNode`` implementation for ``FixedBitSet`` and ``HashSet``. - Implement ``node_weights_mut`` and ``edge_weights_mut`` for ``StableGraph``. - Add configurable functions for adding attributes to dotfile features. Version 0.5.0 (2019-12-25) ========================== Breaking changes ---------------- - The iterative DFS implementation, ``Dfs``, now marks nodes visited when they are pushed onto the stack, not when they're popped off. This may require changes to callers that use ``Dfs::from_parts`` or manipulate its internals. - The ``IntoEdgesDirected`` trait now has a stricter contract for undirected graphs. Custom implementations of this trait may have to be updated. See the `trait documentation`__ for more. Other changes ------------- - Upgrade to Rust 2018 edition - Fix clippy warnings and unify code formatting - Improved and enhanced documentation - Update dependencies including modern quickcheck - Numerous bugfixes and refactorings - Added ``MatrixGraph`` implementation __ https://docs.rs/petgraph/0.5/petgraph/visit/trait.IntoEdgesDirected.html Version 0.4.13 (2018-08-26) =========================== - Fix clippy warnings by @jonasbb - Add docs for ``Csr`` by @ksadorf - Fix conflict with new stable method ``find_map`` in new Rust Version 0.4.12 (2018-03-26) =========================== - Newtype ``Time`` now also implements ``Hash`` - Documentation updates for ``Frozen``. Version 0.4.11 (2018-01-07) =========================== - Fix ``petgraph::graph::NodeReferences`` to be publicly visible - Small doc typo and code style files by @shepmaster and @waywardmonkeys - Fix a future compat warning with pointer casts Version 0.4.10 (2017-08-15) =========================== - Add graph trait ``IntoEdgesDirected`` - Update dependencies Version 0.4.9 (2017-10-02) ========================== - Fix ``bellman_ford`` to work correctly with undirected graphs (#152) by @carrutstick - Performance improvements for ``Graph, Stablegraph``'s ``.map()``. Version 0.4.8 (2017-09-20) ========================== - ``StableGraph`` learned new methods nearing parity with ``Graph``. Note that the ``StableGraph`` methods preserve index stability even in the batch removal methods like ``filter_map`` and ``retain_edges``. + Added ``.filter_map()``, which maps associated node and edge data + Added ``.retain_edges()``, ``.edge_indices()`` and ``.clear_edges()`` - Existing ``Graph`` iterators gained some trait impls: + ``.node_indices(), .edge_indices()`` are ``ExactSizeIterator`` + ``.node_references()`` is now ``DoubleEndedIterator + ExactSizeIterator``. + ``.edge_references()`` is now ``ExactSizeIterator``. - Implemented ``From<StableGraph>`` for ``Graph``. Version 0.4.7 (2017-09-16) ========================== - New algorithm by @jmcomets: A* search algorithm in ``petgraph::algo::astar`` - One ``StableGraph`` bug fix whose patch was supposed to be in the previous version: + ``add_edge(m, n, _)`` now properly always panics if nodes m or n don't exist in the graph. Version 0.4.6 (2017-09-12) ========================== - New optional crate feature: ``"serde-1"``, which enables serialization for ``Graph`` and ``StableGraph`` using serde. - Add methods ``new``, ``add_node`` to ``Csr`` by @jmcomets - Add indexing with ``[]`` by node index, ``NodeCompactIndexable`` for ``Csr`` by @jmcomets - Amend doc for ``GraphMap::into_graph`` (it has a case where it can panic) - Add implementation of ``From<Graph>`` for ``StableGraph``. - Add implementation of ``IntoNodeReferences`` for ``&StableGraph``. - Add method ``StableGraph::map`` that maps associated data - Add method ``StableGraph::find_edge_undirected`` - Many ``StableGraph`` bug fixes involving node vacancies (holes left by deletions): + ``neighbors(n)`` and similar neighbor and edge iterator methods now handle n being a vacancy properly. (This produces an empty iterator.) + ``find_edge(m, n)`` now handles m being a vacancy correctly too + ``StableGraph::node_bound`` was fixed for empty graphs and returns 0 - Add implementation of ``DoubleEndedIterator`` to ``Graph, StableGraph``'s edge references iterators. - Debug output for ``Graph`` now shows node and edge count. ``Graph, StableGraph`` show nothing for the edges list if it's empty (no label). - ``Arbitrary`` implementation for ``StableGraph`` now can produce graphs with vacancies (used by quickcheck) Version 0.4.5 (2017-06-16) ========================== - Fix ``max`` ambiguity error with current rust nightly by @daboross (#153) Version 0.4.4 (2017-03-14) ========================== - Add ``GraphMap::all_edges_mut()`` iterator by @Binero - Add ``StableGraph::retain_nodes`` by @Rupsbant - Add ``StableGraph::index_twice_mut`` by @christolliday Version 0.4.3 (2017-01-21) ========================== - Add crate categories Version 0.4.2 (2017-01-06) ========================== - Move the ``visit.rs`` file due to changed rules for a module’s directory ownership in Rust, resolving a future compat warning. - The error types ``Cycle, NegativeCycle`` now implement ``PartialEq``. Version 0.4.1 (2016-10-26) ========================== - Add new algorithm ``simple_fast`` for computing dominators in a control-flow graph. Version 0.4.0 (2016-10-17) ========================== Breaking changes in ``Graph`` ----------------------------- - ``Graph::edges`` and the other edges methods now return an iterator of edge references Other breaking changes ---------------------- - ``toposort`` now returns an error if the graph had a cycle. - ``is_cyclic_directed`` no longer takes a dfs space argument. It is now recursive. - ``scc`` was renamed to ``kosaraju_scc``. - ``min_spanning_tree`` now returns an iterator that needs to be made into a specific graph type deliberately. - ``dijkstra`` now uses the ``IntoEdges`` trait. - ``NodeIndexable`` changed its method signatures. - ``IntoExternals`` was removed, and many other smaller adjustments in graph traits. ``NodeId`` must now implement ``PartialEq``, for example. - ``DfsIter, BfsIter`` were removed in favour of a more general approach with the ``Walker`` trait and its iterator conversion. New features ------------ - New graph traits, for example ``IntoEdges`` which returns an iterator of edge references. Everything implements the graph traits much more consistently. - Traits for associated data access and building graphs: ``DataMap``, ``Build, Create, FromElements``. - Graph adaptors: ``EdgeFiltered``. ``Filtered`` was renamed to ``NodeFiltered``. - New algorithms: bellman-ford - New graph: compressed sparse row (``Csr``). - ``GraphMap`` implements ``NodeIndexable``. - ``Dot`` was generalized Version 0.3.2 (2016-10-11) ========================== - Add ``depth_first_search``, a recursive dfs visitor that emits discovery, finishing and edge classification events. - Add graph adaptor ``Filtered``. - impl ``Debug, NodeIndexable`` for ``Reversed``. Version 0.3.1 (2016-10-05) ========================== - Add ``.edges(), .edges_directed()`` to ``StableGraph``. Note that these differ from ``Graph``, because this is the signature they will all use in the future. - Add ``.update_edge()`` to ``StableGraph``. - Add reexports of common items in ``stable_graph`` module (for example ``NodeIndex``). - Minor performance improvements to graph iteration - Improved docs for ``visit`` module. Version 0.3.0 (2016-10-03) ========================== - Overhaul all graph visitor traits so that they use the ``IntoIterator`` style. This makes them composable. - Multiple graph algorithms use new visitor traits. - **Help is welcome to port more algorithms (and create new graph traits in the process)!** - ``GraphMap`` can now have directed edges. ``GraphMap::new`` is now generic in the edge type. ``DiGraphMap`` and ``UnGraphMap`` are new type aliases. - Add type aliases ``DiGraph, UnGraph, StableDiGraph, StableUnGraph`` - ``GraphMap`` is based on the indexmap crate. Deterministic iteration order, faster iteration, no side tables needed to convert to ``Graph``. - Improved docs for a lot of types and functions. - Add graph visitor ``DfsPostOrder`` - ``Dfs`` gained new methods ``from_parts`` and ``reset``. - New algo ``has_path_connecting``. - New algo ``tarjan_scc``, a second scc implementation. - Document traversal order in ``Dfs, DfsPostOrder, scc, tarjan_scc``. - Optional graph visitor workspace reuse in ``has_path_connecting``, ``is_cyclic_directed, toposort``. - Improved ``Debug`` formatting for ``Graph, StableGraph``. - Add a prelude module - ``GraphMap`` now has a method ``.into_graph()`` that makes a ``Graph``. - ``Graph::retain_nodes, retain_edges`` now expose the self graph only as wrapped in ``Frozen``, so that weights can be mutated but the graph structure not. - Enable ``StableGraph`` by default - Add method ``Graph::contains_edge``. - Renamed ``EdgeDirection`` → ``Direction``. - Remove ``SubTopo``. - Require Rust 1.12 or later Version 0.2.10 (2016-07-27) =========================== - Fix compilation with rust nightly Version 0.2.9 (2016-10-01) ========================== - Fix a bug in SubTopo (#81) Version 0.2.8 (2016-09-12) ========================== - Add Graph methods reserve_nodes, reserve_edges, reserve_exact_nodes, reserve_exact_edges, shrink_to_fit_edges, shrink_to_fit_nodes, shrink_to_fit Version 0.2.7 (2016-04-22) ========================== - Update URLs Version 0.2.6 (2016-04-20) ========================== - Fix warning about type parameter defaults (no functional change) Version 0.2.5 (2016-04-10) ========================== - Add SubTopo, a topo walker for the subgraph reachable from a starting point. - Add condensation, which forms the graph of a graph’s strongly connected components. Version 0.2.4 (2016-04-05) ========================== - Fix an algorithm error in scc (#61). This time we have a test that crosschecks the result of the algorithm vs another implementation, for greater confidence in its correctness. Version 0.2.3 (2016-02-22) ========================== - Require Rust 1.6: Due to changes in how rust uses type parameter defaults. - Implement Graph::clone_from. Version 0.2.2 (2015-12-14) ========================== - Require Rust 1.5 - ``Dot`` passes on the alternate flag to node and edge label formatting - Add ``Clone`` impl for some iterators - Document edge iteration order for ``Graph::neighbors`` - Add *experimental feature* ``StableGraph``, using feature flag ``stable_graph`` Version 0.2.1 (2015-12-06) ========================== - Add algorithm ``is_isomorphic_matching`` Version 0.2.0 (2015-12-03) ========================== New Features ------------ - Add Graph::neighbors().detach() to step edges without borrowing. This is more general than, and replaces now deprecated walk_edges_directed. (#39) - Implement Default for Graph, GraphMap - Add method EdgeDirection::opposite() Breaking changes ---------------- - Graph::neighbors() for undirected graphs and Graph::neighbors_undirected for any graph now visit self loop edges once, not twice. (#31) - Renamed Graph::without_edges to Graph::externals - Removed Graph::edges_both - GraphMap::add_edge now returns ``Option<E>`` - Element type of ``GraphMap<N, E>::all_edges()`` changed to ``(N, N, &E)`` Minor breaking changes ---------------------- - IntoWeightedEdge changed a type parameter to associated type - IndexType is now an unsafe trait - Removed IndexType::{one, zero}, use method new instead. - Removed MinScored - Ptr moved to the graphmap module. - Directed, Undirected are now void enums. - Fields of graphmap::Edges are now private (#19) Version 0.1.18 (2015-11-30) =========================== - Fix bug on calling GraphMap::add_edge with existing edge (#35) Version 0.1.17 (2015-11-25) =========================== - Add Graph::capacity(), GraphMap::capacity() - Fix bug in Graph::reverse() - Graph and GraphMap have `quickcheck::Arbitrary` implementations, if optional feature `check` is enabled. Version 0.1.16 (2015-11-25) =========================== - Add Graph::node_indices(), Graph::edge_indices() - Add Graph::retain_nodes(), Graph::retain_edges() - Add Graph::extend_with_edges(), Graph::from_edges() - Add functions petgraph::graph::{edge_index, node_index}; - Add GraphMap::extend(), GraphMap::from_edges() - Add petgraph::dot::Dot for simple graphviz dot output Version 0.1.15 (2015-11-20) =========================== - Add Graph::clear_edges() - Add Graph::edge_endpoints() - Add Graph::map() and Graph::filter_map() Version 0.1.14 (2015-11-19) =========================== - Add new topological order visitor Topo - New graph traits NeighborsDirected, Externals, Revisitable Version 0.1.13 (2015-11-11) =========================== - Add iterator GraphMap::all_edges Version 0.1.12 (2015-11-07) =========================== - Fix an algorithm error in scc (#14) Version 0.1.11 (2015-08-16) =========================== - Update for well-formedness warnings (Rust RFC 1214), adding new lifetime bounds on NeighborIter and Dfs, impact should be minimal. Version 0.1.10 (2015-06-22) =========================== - Fix bug in WalkEdges::next_neighbor() Version 0.1.9 (2015-06-17) ========================== - Fix Dfs/Bfs for a rustc bugfix that disallowed them - Add method next_neighbor() to WalkEdges Version 0.1.8 (2015-06-08) ========================== - Add Graph::walk_edges_directed() - Add Graph::index_twice_mut() Version 0.1.7 (2015-06-08) ========================== - Add Graph::edges_directed() Version 0.1.6 (2015-06-04) ========================== - Add Graph::node_weights_mut and Graph::edge_weights_mut Version 0.1.4 (2015-05-20) ========================== - Add back DfsIter, BfsIter ����������������������������������������������������������������������������������������petgraph-0.6.4/benches/bellman_ford.rs��������������������������������������������������������������0000644�0000000�0000000�00000003372�10461020230�0016053�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use petgraph::prelude::*; use std::cmp::{max, min}; use test::Bencher; use petgraph::algo::{bellman_ford, find_negative_cycle}; #[bench] fn bellman_ford_bench(bench: &mut Bencher) { static NODE_COUNT: usize = 100; let mut g = Graph::new(); let nodes: Vec<NodeIndex<_>> = (0..NODE_COUNT).into_iter().map(|i| g.add_node(i)).collect(); for i in 0..NODE_COUNT { let n1 = nodes[i]; let neighbour_count = i % 8 + 3; let j_from = max(0, i as i32 - neighbour_count as i32 / 2) as usize; let j_to = min(NODE_COUNT, j_from + neighbour_count); for j in j_from..j_to { let n2 = nodes[j]; let mut distance: f64 = ((i + 3) % 10) as f64; if n1 != n2 { distance -= 1.0 } g.add_edge(n1, n2, distance as f64); } } bench.iter(|| { let _scores = bellman_ford(&g, nodes[0]); }); } #[bench] fn find_negative_cycle_bench(bench: &mut Bencher) { static NODE_COUNT: usize = 100; let mut g = Graph::new(); let nodes: Vec<NodeIndex<_>> = (0..NODE_COUNT).into_iter().map(|i| g.add_node(i)).collect(); for i in 0..NODE_COUNT { let n1 = nodes[i]; let neighbour_count = i % 8 + 3; let j_from = max(0, i as i32 - neighbour_count as i32 / 2) as usize; let j_to = min(NODE_COUNT, j_from + neighbour_count); for j in j_from..j_to { let n2 = nodes[j]; let mut distance: f64 = ((i + 3) % 10) as f64; if n1 != n2 { distance -= 1.0 } g.add_edge(n1, n2, distance); } } bench.iter(|| { let _scores = find_negative_cycle(&g, nodes[0]); }); } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/common/factories.rs����������������������������������������������������������0000644�0000000�0000000�00000025245�10461020230�0016701�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::marker::PhantomData; use petgraph::data::Build; use petgraph::prelude::*; use petgraph::visit::NodeIndexable; use petgraph::EdgeType; /// Petersen A and B are isomorphic /// /// http://www.dharwadker.org/tevet/isomorphism/ const PETERSEN_A: &str = " 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 "; const PETERSEN_B: &str = " 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 "; /// An almost full set, isomorphic const FULL_A: &str = " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 "; const FULL_B: &str = " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 "; /// Praust A and B are not isomorphic const PRAUST_A: &str = " 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 "; const PRAUST_B: &str = " 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 "; const BIGGER: &str = " 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 "; /// A random bipartite graph. const BIPARTITE: &str = " 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 "; /// Parse a text adjacency matrix format into a directed graph fn parse_graph<Ty, G>(s: &str) -> G where Ty: EdgeType, G: Default + Build<NodeWeight = (), EdgeWeight = ()> + NodeIndexable, { let mut g: G = Default::default(); let s = s.trim(); let lines = s.lines().filter(|l| !l.is_empty()); for (row, line) in lines.enumerate() { for (col, word) in line.split(' ').filter(|s| !s.is_empty()).enumerate() { let has_edge = word.parse::<i32>().unwrap(); assert!(has_edge == 0 || has_edge == 1); if has_edge == 0 { continue; } while col >= g.node_count() || row >= g.node_count() { g.add_node(()); } let a = g.from_index(row); let b = g.from_index(col); g.update_edge(a, b, ()); } } g } pub struct GraphFactory<Ty, G = Graph<(), (), Ty>> { ty: PhantomData<Ty>, g: PhantomData<G>, } impl<Ty, G> GraphFactory<Ty, G> where Ty: EdgeType, G: Default + Build<NodeWeight = (), EdgeWeight = ()> + NodeIndexable, { fn new() -> Self { GraphFactory { ty: PhantomData, g: PhantomData, } } pub fn petersen_a(self) -> G { parse_graph::<Ty, _>(PETERSEN_A) } pub fn petersen_b(self) -> G { parse_graph::<Ty, _>(PETERSEN_B) } pub fn full_a(self) -> G { parse_graph::<Ty, _>(FULL_A) } pub fn full_b(self) -> G { parse_graph::<Ty, _>(FULL_B) } pub fn praust_a(self) -> G { parse_graph::<Ty, _>(PRAUST_A) } pub fn praust_b(self) -> G { parse_graph::<Ty, _>(PRAUST_B) } pub fn bigger(self) -> G { parse_graph::<Ty, _>(BIGGER) } pub fn bipartite(self) -> G { parse_graph::<Ty, _>(BIPARTITE) } } pub fn graph<Ty: EdgeType>() -> GraphFactory<Ty, Graph<(), (), Ty>> { GraphFactory::new() } pub fn ungraph() -> GraphFactory<Undirected, Graph<(), (), Undirected>> { graph() } pub fn digraph() -> GraphFactory<Directed, Graph<(), (), Directed>> { graph() } pub fn stable_graph<Ty: EdgeType>() -> GraphFactory<Ty, StableGraph<(), (), Ty>> { GraphFactory::new() } pub fn stable_ungraph() -> GraphFactory<Undirected, StableGraph<(), (), Undirected>> { stable_graph() } pub fn stable_digraph() -> GraphFactory<Directed, StableGraph<(), (), Directed>> { stable_graph() } pub fn tournament(node_count: usize) -> DiGraph<(), ()> { let mut edge_forward = true; let mut g = DiGraph::new(); for _ in 0..node_count { g.add_node(()); } for i in g.node_indices() { for j in g.node_indices() { if i >= j { continue; } let (source, target) = if edge_forward { (i, j) } else { (j, i) }; g.add_edge(source, target, ()); edge_forward = !edge_forward; } } g } /// An F_(1,n) graph (where **|E| == 2(|N|) - 1**) with pseudo-random edge directions. pub fn directed_fan(n: usize) -> DiGraph<(), ()> { let mut g = DiGraph::new(); for _ in 0..(n + 1) { g.add_node(()); } let mut indices = g.node_indices(); let ix_0 = indices.next().unwrap(); let mut edge_forward = true; let mut prev_ix = None; for ix in indices { let (source, target) = if edge_forward { (ix_0, ix) } else { (ix, ix_0) }; g.add_edge(source, target, ()); if let Some(prev_ix) = prev_ix { let (source, target) = if edge_forward { (prev_ix, ix) } else { (ix, prev_ix) }; g.add_edge(source, target, ()); } edge_forward = !edge_forward; prev_ix = Some(ix); } g } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/common/mod.rs����������������������������������������������������������������0000644�0000000�0000000�00000000045�10461020230�0015470�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������mod factories; pub use factories::*; �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/dijkstra.rs������������������������������������������������������������������0000644�0000000�0000000�00000001572�10461020230�0015242�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use petgraph::prelude::*; use std::cmp::{max, min}; use test::Bencher; use petgraph::algo::dijkstra; #[bench] fn dijkstra_bench(bench: &mut Bencher) { static NODE_COUNT: usize = 10_000; let mut g = Graph::new_undirected(); let nodes: Vec<NodeIndex<_>> = (0..NODE_COUNT).into_iter().map(|i| g.add_node(i)).collect(); for i in 0..NODE_COUNT { let n1 = nodes[i]; let neighbour_count = i % 8 + 3; let j_from = max(0, i as i32 - neighbour_count as i32 / 2) as usize; let j_to = min(NODE_COUNT, j_from + neighbour_count); for j in j_from..j_to { let n2 = nodes[j]; let distance = (i + 3) % 10; g.add_edge(n1, n2, distance); } } bench.iter(|| { let _scores = dijkstra(&g, nodes[0], None, |e| *e.weight()); }); } ��������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/feedback_arc_set.rs����������������������������������������������������������0000644�0000000�0000000�00000002216�10461020230�0016647�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use test::Bencher; use petgraph::algo::greedy_feedback_arc_set; #[allow(dead_code)] mod common; use common::{directed_fan, tournament}; #[bench] fn greedy_fas_tournament_10_bench(bench: &mut Bencher) { let g = tournament(10); bench.iter(|| greedy_feedback_arc_set(&g).for_each(|_| ())) } #[bench] fn greedy_fas_tournament_50_bench(bench: &mut Bencher) { let g = tournament(50); bench.iter(|| greedy_feedback_arc_set(&g).for_each(|_| ())) } #[bench] fn greedy_fas_tournament_200_bench(bench: &mut Bencher) { let g = tournament(200); bench.iter(|| greedy_feedback_arc_set(&g).for_each(|_| ())) } #[bench] fn greedy_fas_fan_10_bench(bench: &mut Bencher) { let g = directed_fan(10); bench.iter(|| greedy_feedback_arc_set(&g).for_each(|_| ())) } #[bench] fn greedy_fas_fan_200_bench(bench: &mut Bencher) { let g = directed_fan(200); bench.iter(|| greedy_feedback_arc_set(&g).for_each(|_| ())) } #[bench] fn greedy_fas_fan_1000_bench(bench: &mut Bencher) { let g = directed_fan(1000); bench.iter(|| greedy_feedback_arc_set(&g).for_each(|_| ())) } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/floyd_warshall.rs������������������������������������������������������������0000644�0000000�0000000�00000001571�10461020230�0016440�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use petgraph::prelude::*; use std::cmp::{max, min}; use test::Bencher; use petgraph::algo::floyd_warshall; #[bench] fn floyd_warshall_bench(bench: &mut Bencher) { static NODE_COUNT: usize = 100; let mut g = Graph::new_undirected(); let nodes: Vec<NodeIndex<_>> = (0..NODE_COUNT).into_iter().map(|i| g.add_node(i)).collect(); for i in 0..NODE_COUNT { let n1 = nodes[i]; let neighbour_count = i % 8 + 3; let j_from = max(0, i as i32 - neighbour_count as i32 / 2) as usize; let j_to = min(NODE_COUNT, j_from + neighbour_count); for j in j_from..j_to { let n2 = nodes[j]; let distance = (i + 3) % 10; g.add_edge(n1, n2, distance); } } bench.iter(|| { let _scores = floyd_warshall(&g, |e| *e.weight()); }); } ���������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/iso.rs�����������������������������������������������������������������������0000644�0000000�0000000�00000002265�10461020230�0014221�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use test::Bencher; #[allow(dead_code)] mod common; use common::*; use petgraph::algo::is_isomorphic; #[bench] fn petersen_iso_bench(bench: &mut Bencher) { let a = digraph().petersen_a(); let b = digraph().petersen_b(); bench.iter(|| is_isomorphic(&a, &b)); assert!(is_isomorphic(&a, &b)); } #[bench] fn petersen_undir_iso_bench(bench: &mut Bencher) { let a = ungraph().petersen_a(); let b = ungraph().petersen_b(); bench.iter(|| is_isomorphic(&a, &b)); assert!(is_isomorphic(&a, &b)); } #[bench] fn full_iso_bench(bench: &mut Bencher) { let a = ungraph().full_a(); let b = ungraph().full_b(); bench.iter(|| is_isomorphic(&a, &b)); assert!(is_isomorphic(&a, &b)); } #[bench] fn praust_dir_no_iso_bench(bench: &mut Bencher) { let a = digraph().praust_a(); let b = digraph().praust_b(); bench.iter(|| is_isomorphic(&a, &b)); assert!(!is_isomorphic(&a, &b)); } #[bench] fn praust_undir_no_iso_bench(bench: &mut Bencher) { let a = ungraph().praust_a(); let b = ungraph().praust_b(); bench.iter(|| is_isomorphic(&a, &b)); assert!(!is_isomorphic(&a, &b)); } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/k_shortest_path.rs�����������������������������������������������������������0000644�0000000�0000000�00000001563�10461020230�0016630�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use petgraph::prelude::*; use std::cmp::{max, min}; use test::Bencher; use petgraph::algo::k_shortest_path; #[bench] fn k_shortest_path_bench(bench: &mut Bencher) { static NODE_COUNT: usize = 10_000; let mut g = Graph::new_undirected(); let nodes: Vec<NodeIndex<_>> = (0..NODE_COUNT).into_iter().map(|i| g.add_node(i)).collect(); for i in 0..NODE_COUNT { let n1 = nodes[i]; let neighbour_count = i % 8 + 3; let j_from = max(0, i as i32 - neighbour_count as i32 / 2) as usize; let j_to = min(NODE_COUNT, j_from + neighbour_count); for j in j_from..j_to { let n2 = nodes[j]; let distance = (i + 3) % 10; g.add_edge(n1, n2, distance); } } bench.iter(|| k_shortest_path(&g, nodes[0], None, 2, |e| *e.weight())); } ���������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/matching.rs������������������������������������������������������������������0000644�0000000�0000000�00000003106�10461020230�0015214�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use test::Bencher; #[allow(dead_code)] mod common; use common::*; use petgraph::algo::{greedy_matching, maximum_matching}; use petgraph::graph::UnGraph; fn huge() -> UnGraph<(), ()> { static NODE_COUNT: u32 = 1_000; let mut edges = Vec::new(); for i in 0..NODE_COUNT { for j in i..NODE_COUNT { if i % 3 == 0 && j % 2 == 0 { edges.push((i, j)); } } } // 999 nodes, 83500 edges UnGraph::from_edges(&edges) } #[bench] fn greedy_matching_bipartite(bench: &mut Bencher) { let g = ungraph().bipartite(); bench.iter(|| greedy_matching(&g)); } #[bench] fn greedy_matching_full(bench: &mut Bencher) { let g = ungraph().full_a(); bench.iter(|| greedy_matching(&g)); } #[bench] fn greedy_matching_bigger(bench: &mut Bencher) { let g = ungraph().bigger(); bench.iter(|| greedy_matching(&g)); } #[bench] fn greedy_matching_huge(bench: &mut Bencher) { let g = huge(); bench.iter(|| greedy_matching(&g)); } #[bench] fn maximum_matching_bipartite(bench: &mut Bencher) { let g = ungraph().bipartite(); bench.iter(|| maximum_matching(&g)); } #[bench] fn maximum_matching_full(bench: &mut Bencher) { let g = ungraph().full_a(); bench.iter(|| maximum_matching(&g)); } #[bench] fn maximum_matching_bigger(bench: &mut Bencher) { let g = ungraph().bigger(); bench.iter(|| maximum_matching(&g)); } #[bench] fn maximum_matching_huge(bench: &mut Bencher) { let g = huge(); bench.iter(|| maximum_matching(&g)); } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/matrix_graph.rs��������������������������������������������������������������0000644�0000000�0000000�00000020240�10461020230�0016105�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use test::Bencher; use petgraph::algo; use petgraph::matrix_graph::{node_index, MatrixGraph}; use petgraph::{Directed, EdgeType, Incoming, Outgoing}; #[bench] fn add_100_nodes(b: &mut test::Bencher) { b.iter(|| { let mut g = MatrixGraph::<(), ()>::with_capacity(100); for _ in 0..100 { let _ = g.add_node(()); } }); } #[bench] fn add_100_edges_to_self(b: &mut test::Bencher) { let mut g = MatrixGraph::<(), ()>::with_capacity(100); let nodes: Vec<_> = (0..100).map(|_| g.add_node(())).collect(); let g = g; b.iter(|| { let mut g = g.clone(); for &node in nodes.iter() { g.add_edge(node, node, ()); } }); } #[bench] fn add_5_edges_for_each_of_100_nodes(b: &mut test::Bencher) { let mut g = MatrixGraph::<(), ()>::with_capacity(100); let nodes: Vec<_> = (0..100).map(|_| g.add_node(())).collect(); let g = g; let edges_to_add: Vec<_> = nodes .iter() .enumerate() .map(|(i, &node)| { let edges: Vec<_> = (0..5) .map(|j| (i + j + 1) % nodes.len()) .map(|j| (node, nodes[j])) .collect(); edges }) .flatten() .collect(); b.iter(|| { let mut g = g.clone(); for &(source, target) in edges_to_add.iter() { g.add_edge(source, target, ()); } }); } #[bench] fn add_edges_from_root(bench: &mut test::Bencher) { bench.iter(|| { let mut gr = MatrixGraph::new(); let a = gr.add_node(()); for _ in 0..100 { let b = gr.add_node(()); gr.add_edge(a, b, ()); } }); } #[bench] fn add_adjacent_edges(bench: &mut test::Bencher) { bench.iter(|| { let mut gr = MatrixGraph::new(); let mut prev = None; for _ in 0..100 { let b = gr.add_node(()); if let Some(a) = prev { gr.add_edge(a, b, ()); } prev = Some(b); } }); } /// An almost full set const FULL: &str = " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 "; const BIGGER: &str = " 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 "; /// Parse a text adjacency matrix format into a directed graph fn parse_matrix<Ty: EdgeType>(s: &str) -> MatrixGraph<(), (), Ty> { let mut gr = MatrixGraph::default(); let s = s.trim(); let lines = s.lines().filter(|l| !l.is_empty()); for (row, line) in lines.enumerate() { for (col, word) in line.split(' ').filter(|s| !s.is_empty()).enumerate() { let has_edge = word.parse::<i32>().unwrap(); assert!(has_edge == 0 || has_edge == 1); if has_edge == 0 { continue; } while col >= gr.node_count() || row >= gr.node_count() { gr.add_node(()); } gr.add_edge(node_index(row), node_index(col), ()); } } gr } #[bench] fn full_edges_out(bench: &mut Bencher) { let a = parse_matrix::<Directed>(FULL); bench.iter(|| a.edges_directed(node_index(1), Outgoing).count()) } #[bench] fn full_edges_in(bench: &mut Bencher) { let a = parse_matrix::<Directed>(FULL); bench.iter(|| a.edges_directed(node_index(1), Incoming).count()) } #[bench] fn full_neighbors_out(bench: &mut Bencher) { let a = parse_matrix::<Directed>(FULL); bench.iter(|| a.neighbors_directed(node_index(1), Outgoing).count()) } #[bench] fn full_neighbors_in(bench: &mut Bencher) { let a = parse_matrix::<Directed>(FULL); bench.iter(|| a.neighbors_directed(node_index(1), Incoming).count()) } #[bench] fn full_kosaraju_sccs(bench: &mut Bencher) { let a = parse_matrix::<Directed>(FULL); bench.iter(|| algo::kosaraju_scc(&a)); } #[bench] fn full_tarjan_sccs(bench: &mut Bencher) { let a = parse_matrix::<Directed>(FULL); bench.iter(|| algo::tarjan_scc(&a)); } #[bench] fn bigger_edges_out(bench: &mut Bencher) { let a = parse_matrix::<Directed>(BIGGER); bench.iter(|| a.edges_directed(node_index(1), Outgoing).count()) } #[bench] fn bigger_edges_in(bench: &mut Bencher) { let a = parse_matrix::<Directed>(BIGGER); bench.iter(|| a.edges_directed(node_index(1), Incoming).count()) } #[bench] fn bigger_neighbors_out(bench: &mut Bencher) { let a = parse_matrix::<Directed>(BIGGER); bench.iter(|| a.neighbors_directed(node_index(1), Outgoing).count()) } #[bench] fn bigger_neighbors_in(bench: &mut Bencher) { let a = parse_matrix::<Directed>(BIGGER); bench.iter(|| a.neighbors_directed(node_index(1), Incoming).count()) } #[bench] fn bigger_kosaraju_sccs(bench: &mut Bencher) { let a = parse_matrix::<Directed>(BIGGER); bench.iter(|| algo::kosaraju_scc(&a)); } #[bench] fn bigger_tarjan_sccs(bench: &mut Bencher) { let a = parse_matrix::<Directed>(BIGGER); bench.iter(|| algo::tarjan_scc(&a)); } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/ograph.rs��������������������������������������������������������������������0000644�0000000�0000000�00000002116�10461020230�0014702�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use petgraph::graph::Graph; #[bench] fn bench_inser(b: &mut test::Bencher) { let mut og = Graph::new(); let fst = og.add_node(0i32); for x in 1..125 { let n = og.add_node(x); og.add_edge(fst, n, ()); } b.iter(|| og.add_node(1)) } #[bench] fn bench_add_edge(b: &mut test::Bencher) { let mut og = Graph::new(); for _ in 0..100 { og.add_node(()); } b.iter(|| { for (a, b) in og.node_indices().zip(og.node_indices().skip(1)) { og.add_edge(a, b, ()); } og.clear_edges(); }) } #[bench] fn bench_remove(b: &mut test::Bencher) { // removal is very slow in a big graph. // and this one doesn't even have many nodes. let mut og = Graph::new(); let fst = og.add_node(0i32); let mut prev = fst; for x in 1..1250 { let n = og.add_node(x); og.add_edge(prev, n, ()); prev = n; } //println!("{}", og); b.iter(|| { for _ in 0..100 { og.remove_node(fst); } }) } ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/serialize.rs�����������������������������������������������������������������0000644�0000000�0000000�00000003234�10461020230�0015413�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] #[cfg(feature = "serde-1")] mod serialize { extern crate petgraph; extern crate test; use petgraph::prelude::*; use rand::Rng; use test::Bencher; const NUM_NODES: usize = 1_000_000; const NUM_EDGES: usize = 100_000; const NUM_HOLES: usize = 1_000_000; fn make_stable_graph() -> StableGraph<u32, u32> { let mut g = StableGraph::with_capacity(NUM_NODES + NUM_HOLES, NUM_EDGES); let indices: Vec<_> = (0..NUM_NODES + NUM_HOLES) .map(|i| g.add_node(i as u32)) .collect(); let mut rng = rand::thread_rng(); g.extend_with_edges((0..NUM_EDGES).map(|_| { let first = rng.gen_range(0, NUM_NODES + NUM_HOLES); let second = rng.gen_range(0, NUM_NODES + NUM_HOLES - 1); let second = second + (second >= first) as usize; let weight: u32 = rng.gen(); (indices[first], indices[second], weight) })); // Remove nodes to make the structure a bit more interesting while g.node_count() > NUM_NODES { let idx = rng.gen_range(0, indices.len()); g.remove_node(indices[idx]); } g } #[bench] fn serialize_stable_graph(bench: &mut Bencher) { let graph = make_stable_graph(); bench.iter(|| bincode::serialize(&graph).unwrap()); } #[bench] fn deserialize_stable_graph(bench: &mut Bencher) { let graph = make_stable_graph(); let data = bincode::serialize(&graph).unwrap(); bench.iter(|| { let graph2: StableGraph<u32, u32> = bincode::deserialize(&data).unwrap(); graph2 }); } } ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/stable_graph.rs��������������������������������������������������������������0000644�0000000�0000000�00000004465�10461020230�0016066�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use petgraph::prelude::*; use test::Bencher; #[allow(dead_code)] mod common; use common::*; use petgraph::stable_graph::node_index; #[bench] fn full_edges_default(bench: &mut Bencher) { let a = stable_digraph().full_a(); bench.iter(|| a.edges(node_index(1)).count()) } #[bench] fn full_edges_out(bench: &mut Bencher) { let a = stable_digraph().full_a(); bench.iter(|| a.edges_directed(node_index(1), Outgoing).count()) } #[bench] fn full_edges_in(bench: &mut Bencher) { let a = stable_digraph().full_a(); bench.iter(|| a.edges_directed(node_index(1), Incoming).count()) } #[bench] fn neighbors_default(bench: &mut Bencher) { let a = stable_digraph().full_a(); bench.iter(|| a.neighbors(node_index(1)).count()) } #[bench] fn neighbors_out(bench: &mut Bencher) { let a = stable_digraph().full_a(); bench.iter(|| a.neighbors_directed(node_index(1), Outgoing).count()) } #[bench] fn neighbors_in(bench: &mut Bencher) { let a = stable_digraph().full_a(); bench.iter(|| a.neighbors_directed(node_index(1), Incoming).count()) } #[bench] fn sccs_kosaraju_stable_graph(bench: &mut Bencher) { let a = stable_digraph().bigger(); bench.iter(|| petgraph::algo::kosaraju_scc(&a)); } #[bench] fn sccs_kosaraju_graph(bench: &mut Bencher) { let a = digraph().bigger(); bench.iter(|| petgraph::algo::kosaraju_scc(&a)); } #[bench] fn sccs_tarjan_stable_graph(bench: &mut Bencher) { let a = stable_digraph().bigger(); bench.iter(|| petgraph::algo::tarjan_scc(&a)); } #[bench] fn sccs_tarjan_graph(bench: &mut Bencher) { let a = digraph().bigger(); bench.iter(|| petgraph::algo::tarjan_scc(&a)); } #[bench] fn stable_graph_map(bench: &mut Bencher) { let a = stable_digraph().bigger(); bench.iter(|| a.map(|i, _| i, |i, _| i)); } #[bench] fn graph_map(bench: &mut Bencher) { let a = digraph().bigger(); bench.iter(|| a.map(|i, _| i, |i, _| i)); } #[bench] fn stable_graph_retain_nodes(bench: &mut Bencher) { let mut a = stable_digraph().bigger(); bench.iter(|| a.retain_nodes(|_gr, i| (i.index() + 1) % 3700 != 0)); } #[bench] fn stable_graph_retain_edges(bench: &mut Bencher) { let mut a = stable_digraph().bigger(); bench.iter(|| a.retain_edges(|_gr, i| (i.index() + 1) % 3700 != 0)); } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/benches/unionfind.rs�����������������������������������������������������������������0000644�0000000�0000000�00000010007�10461020230�0015411�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![feature(test)] extern crate petgraph; extern crate test; use test::Bencher; #[allow(dead_code)] mod common; use common::*; use petgraph::algo::{connected_components, is_cyclic_undirected, min_spanning_tree}; #[bench] fn connected_components_praust_undir_bench(bench: &mut Bencher) { let a = ungraph().praust_a(); let b = ungraph().praust_b(); bench.iter(|| (connected_components(&a), connected_components(&b))); } #[bench] fn connected_components_praust_dir_bench(bench: &mut Bencher) { let a = digraph().praust_a(); let b = digraph().praust_b(); bench.iter(|| (connected_components(&a), connected_components(&b))); } #[bench] fn connected_components_full_undir_bench(bench: &mut Bencher) { let a = ungraph().full_a(); let b = ungraph().full_b(); bench.iter(|| (connected_components(&a), connected_components(&b))); } #[bench] fn connected_components_full_dir_bench(bench: &mut Bencher) { let a = digraph().full_a(); let b = digraph().full_b(); bench.iter(|| (connected_components(&a), connected_components(&b))); } #[bench] fn connected_components_petersen_undir_bench(bench: &mut Bencher) { let a = ungraph().petersen_a(); let b = ungraph().petersen_b(); bench.iter(|| (connected_components(&a), connected_components(&b))); } #[bench] fn connected_components_petersen_dir_bench(bench: &mut Bencher) { let a = digraph().petersen_a(); let b = digraph().petersen_b(); bench.iter(|| (connected_components(&a), connected_components(&b))); } #[bench] fn is_cyclic_undirected_praust_undir_bench(bench: &mut Bencher) { let a = ungraph().praust_a(); let b = ungraph().praust_b(); bench.iter(|| (is_cyclic_undirected(&a), is_cyclic_undirected(&b))); } #[bench] fn is_cyclic_undirected_praust_dir_bench(bench: &mut Bencher) { let a = digraph().praust_a(); let b = digraph().praust_b(); bench.iter(|| (is_cyclic_undirected(&a), is_cyclic_undirected(&b))); } #[bench] fn is_cyclic_undirected_full_undir_bench(bench: &mut Bencher) { let a = ungraph().full_a(); let b = ungraph().full_b(); bench.iter(|| (is_cyclic_undirected(&a), is_cyclic_undirected(&b))); } #[bench] fn is_cyclic_undirected_full_dir_bench(bench: &mut Bencher) { let a = digraph().full_a(); let b = digraph().full_b(); bench.iter(|| (is_cyclic_undirected(&a), is_cyclic_undirected(&b))); } #[bench] fn is_cyclic_undirected_petersen_undir_bench(bench: &mut Bencher) { let a = ungraph().petersen_a(); let b = ungraph().petersen_b(); bench.iter(|| (is_cyclic_undirected(&a), is_cyclic_undirected(&b))); } #[bench] fn is_cyclic_undirected_petersen_dir_bench(bench: &mut Bencher) { let a = digraph().petersen_a(); let b = digraph().petersen_b(); bench.iter(|| (is_cyclic_undirected(&a), is_cyclic_undirected(&b))); } #[bench] fn min_spanning_tree_praust_undir_bench(bench: &mut Bencher) { let a = ungraph().praust_a(); let b = ungraph().praust_b(); bench.iter(|| (min_spanning_tree(&a), min_spanning_tree(&b))); } #[bench] fn min_spanning_tree_praust_dir_bench(bench: &mut Bencher) { let a = digraph().praust_a(); let b = digraph().praust_b(); bench.iter(|| (min_spanning_tree(&a), min_spanning_tree(&b))); } #[bench] fn min_spanning_tree_full_undir_bench(bench: &mut Bencher) { let a = ungraph().full_a(); let b = ungraph().full_b(); bench.iter(|| (min_spanning_tree(&a), min_spanning_tree(&b))); } #[bench] fn min_spanning_tree_full_dir_bench(bench: &mut Bencher) { let a = digraph().full_a(); let b = digraph().full_b(); bench.iter(|| (min_spanning_tree(&a), min_spanning_tree(&b))); } #[bench] fn min_spanning_tree_petersen_undir_bench(bench: &mut Bencher) { let a = ungraph().petersen_a(); let b = ungraph().petersen_b(); bench.iter(|| (min_spanning_tree(&a), min_spanning_tree(&b))); } #[bench] fn min_spanning_tree_petersen_dir_bench(bench: &mut Bencher) { let a = digraph().petersen_a(); let b = digraph().petersen_b(); bench.iter(|| (min_spanning_tree(&a), min_spanning_tree(&b))); } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/clippy.toml��������������������������������������������������������������������������0000644�0000000�0000000�00000000017�10461020230�0013640�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������msrv = "1.41.0"�����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/custom.css���������������������������������������������������������������������������0000644�0000000�0000000�00000001025�10461020230�0013467�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������ .docblock pre.rust { background: #eeeeff; } pre.trait, pre.fn, pre.struct, pre.enum, pre.typedef { background: #fcfefc; } /* Small “example” label for doc examples */ .docblock pre.rust::before { content: "example"; float: right; font-style: italic; font-size: 0.8em; margin-top: -10px; margin-right: -5px; } /* Fixup where display in trait listing */ pre.trait .where::before { content: '\a '; } .docblock code { background-color: inherit; font-weight: bold; padding: 0 0.1em; } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/graph-example.dot��������������������������������������������������������������������0000644�0000000�0000000�00000000336�10461020230�0014711�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������digraph { rankdir = "LR"; splines = true; 0 [label="petgraph"] 1 [label="fixedbitset"] 2 [label="quickcheck"] 3 [label="rand"] 4 [label="libc"] 0 -> 1 0 -> 2 2 -> 3 3 -> 4 2 -> 4 } ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/adj.rs���������������������������������������������������������������������������0000644�0000000�0000000�00000046460�10461020230�0013352�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Simple adjacency list. use crate::data::{Build, DataMap, DataMapMut}; use crate::iter_format::NoPretty; use crate::visit::{ self, EdgeCount, EdgeRef, GetAdjacencyMatrix, IntoEdgeReferences, IntoNeighbors, NodeCount, }; use fixedbitset::FixedBitSet; use std::fmt; use std::ops::Range; #[doc(no_inline)] pub use crate::graph::{DefaultIx, IndexType}; /// Adjacency list node index type, a plain integer. pub type NodeIndex<Ix = DefaultIx> = Ix; /// Adjacency list edge index type, a pair of integers. #[derive(Copy, Clone, Debug, Hash, PartialEq, Eq, PartialOrd, Ord)] pub struct EdgeIndex<Ix = DefaultIx> where Ix: IndexType, { /// Source of the edge. from: NodeIndex<Ix>, /// Index of the sucessor in the successor list. successor_index: usize, } iterator_wrap! { impl (Iterator) for /// An Iterator over the indices of the outgoing edges from a node. /// /// It does not borrow the graph during iteration. #[derive(Debug, Clone)] struct OutgoingEdgeIndices <Ix> where { Ix: IndexType } item: EdgeIndex<Ix>, iter: std::iter::Map<std::iter::Zip<Range<usize>, std::iter::Repeat<NodeIndex<Ix>>>, fn((usize, NodeIndex<Ix>)) -> EdgeIndex<Ix>>, } /// Weighted sucessor #[derive(Clone, Debug, Hash, PartialEq, Eq, PartialOrd, Ord)] struct WSuc<E, Ix: IndexType> { /// Index of the sucessor. suc: Ix, /// Weight of the edge to `suc`. weight: E, } /// One row of the adjacency list. type Row<E, Ix> = Vec<WSuc<E, Ix>>; type RowIter<'a, E, Ix> = std::slice::Iter<'a, WSuc<E, Ix>>; iterator_wrap! { impl (Iterator DoubleEndedIterator ExactSizeIterator) for /// An iterator over the indices of the neighbors of a node. #[derive(Debug, Clone)] struct Neighbors<'a, E, Ix> where { Ix: IndexType } item: NodeIndex<Ix>, iter: std::iter::Map<RowIter<'a, E, Ix>, fn(&WSuc<E, Ix>) -> NodeIndex<Ix>>, } /// A reference to an edge of the graph. #[derive(Debug, Eq, PartialEq, Ord, PartialOrd)] pub struct EdgeReference<'a, E, Ix: IndexType> { /// index of the edge id: EdgeIndex<Ix>, /// a reference to the corresponding item in the adjacency list edge: &'a WSuc<E, Ix>, } impl<'a, E, Ix: IndexType> Copy for EdgeReference<'a, E, Ix> {} impl<'a, E, Ix: IndexType> Clone for EdgeReference<'a, E, Ix> { fn clone(&self) -> Self { EdgeReference { id: self.id, edge: self.edge, } } } impl<'a, E, Ix: IndexType> visit::EdgeRef for EdgeReference<'a, E, Ix> { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex<Ix>; type Weight = E; fn source(&self) -> Self::NodeId { self.id.from } fn target(&self) -> Self::NodeId { self.edge.suc } fn id(&self) -> Self::EdgeId { self.id } fn weight(&self) -> &Self::Weight { &self.edge.weight } } #[derive(Debug, Clone)] pub struct EdgeIndices<'a, E, Ix: IndexType> { rows: std::iter::Enumerate<std::slice::Iter<'a, Row<E, Ix>>>, row_index: usize, row_len: usize, cur: usize, } impl<'a, E, Ix: IndexType> Iterator for EdgeIndices<'a, E, Ix> { type Item = EdgeIndex<Ix>; fn next(&mut self) -> Option<EdgeIndex<Ix>> { loop { if self.cur < self.row_len { let res = self.cur; self.cur += 1; return Some(EdgeIndex { from: Ix::new(self.row_index), successor_index: res, }); } else { match self.rows.next() { Some((index, row)) => { self.row_index = index; self.cur = 0; self.row_len = row.len(); } None => return None, } } } } } iterator_wrap! { impl (Iterator DoubleEndedIterator ExactSizeIterator) for /// An iterator over all node indices in the graph. #[derive(Debug, Clone)] struct NodeIndices <Ix> where {} item: Ix, iter: std::iter::Map<Range<usize>, fn(usize) -> Ix>, } /// An adjacency list with labeled edges. /// /// Can be interpreted as a directed graph /// with unweighted nodes. /// /// This is the most simple adjacency list you can imagine. [`Graph`](../graph/struct.Graph.html), in contrast, /// maintains both the list of successors and predecessors for each node, /// which is a different trade-off. /// /// Allows parallel edges and self-loops. /// /// This data structure is append-only (except for [`clear`](#method.clear)), so indices /// returned at some point for a given graph will stay valid with this same /// graph until it is dropped or [`clear`](#method.clear) is called. /// /// Space consumption: **O(|E|)**. #[derive(Clone, Default)] pub struct List<E, Ix = DefaultIx> where Ix: IndexType, { suc: Vec<Row<E, Ix>>, } impl<E, Ix: IndexType> List<E, Ix> { /// Creates a new, empty adjacency list. pub fn new() -> List<E, Ix> { List { suc: Vec::new() } } /// Creates a new, empty adjacency list tailored for `nodes` nodes. pub fn with_capacity(nodes: usize) -> List<E, Ix> { List { suc: Vec::with_capacity(nodes), } } /// Removes all nodes and edges from the list. pub fn clear(&mut self) { self.suc.clear() } /// Returns the number of edges in the list /// /// Computes in **O(|V|)** time. pub fn edge_count(&self) -> usize { self.suc.iter().map(|x| x.len()).sum() } /// Adds a new node to the list. This allocates a new `Vec` and then should /// run in amortized **O(1)** time. pub fn add_node(&mut self) -> NodeIndex<Ix> { let i = self.suc.len(); self.suc.push(Vec::new()); Ix::new(i) } /// Adds a new node to the list. This allocates a new `Vec` and then should /// run in amortized **O(1)** time. pub fn add_node_with_capacity(&mut self, successors: usize) -> NodeIndex<Ix> { let i = self.suc.len(); self.suc.push(Vec::with_capacity(successors)); Ix::new(i) } /// Adds a new node to the list by giving its list of successors and the corresponding /// weigths. pub fn add_node_from_edges<I: Iterator<Item = (NodeIndex<Ix>, E)>>( &mut self, edges: I, ) -> NodeIndex<Ix> { let i = self.suc.len(); self.suc .push(edges.map(|(suc, weight)| WSuc { suc, weight }).collect()); Ix::new(i) } /// Add an edge from `a` to `b` to the graph, with its associated /// data `weight`. /// /// Return the index of the new edge. /// /// Computes in **O(1)** time. /// /// **Panics** if the source node does not exist.<br> /// /// **Note:** `List` allows adding parallel (“duplicate”) edges. If you want /// to avoid this, use [`.update_edge(a, b, weight)`](#method.update_edge) instead. pub fn add_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> EdgeIndex<Ix> { if b.index() >= self.suc.len() { panic!( "{} is not a valid node index for a {} nodes adjacency list", b.index(), self.suc.len() ); } let row = &mut self.suc[a.index()]; let rank = row.len(); row.push(WSuc { suc: b, weight }); EdgeIndex { from: a, successor_index: rank, } } fn get_edge(&self, e: EdgeIndex<Ix>) -> Option<&WSuc<E, Ix>> { self.suc .get(e.from.index()) .and_then(|row| row.get(e.successor_index)) } fn get_edge_mut(&mut self, e: EdgeIndex<Ix>) -> Option<&mut WSuc<E, Ix>> { self.suc .get_mut(e.from.index()) .and_then(|row| row.get_mut(e.successor_index)) } /// Accesses the source and target of edge `e` /// /// Computes in **O(1)** pub fn edge_endpoints(&self, e: EdgeIndex<Ix>) -> Option<(NodeIndex<Ix>, NodeIndex<Ix>)> { self.get_edge(e).map(|x| (e.from, x.suc)) } pub fn edge_indices_from(&self, a: NodeIndex<Ix>) -> OutgoingEdgeIndices<Ix> { let proj: fn((usize, NodeIndex<Ix>)) -> EdgeIndex<Ix> = |(successor_index, from)| EdgeIndex { from, successor_index, }; let iter = (0..(self.suc[a.index()].len())) .zip(std::iter::repeat(a)) .map(proj); OutgoingEdgeIndices { iter } } /// Lookups whether there is an edge from `a` to `b`. /// /// Computes in **O(e')** time, where **e'** is the number of successors of `a`. pub fn contains_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { match self.suc.get(a.index()) { None => false, Some(row) => row.iter().any(|x| x.suc == b), } } /// Lookups whether there is an edge from `a` to `b`. /// /// Computes in **O(e')** time, where **e'** is the number of successors of `a`. pub fn find_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> Option<EdgeIndex<Ix>> { self.suc.get(a.index()).and_then(|row| { row.iter() .enumerate() .find(|(_, x)| x.suc == b) .map(|(i, _)| EdgeIndex { from: a, successor_index: i, }) }) } /// Returns an iterator over all node indices of the graph. /// /// Consuming the whole iterator take **O(|V|)**. pub fn node_indices(&self) -> NodeIndices<Ix> { NodeIndices { iter: (0..self.suc.len()).map(Ix::new), } } /// Returns an iterator over all edge indices of the graph. /// /// Consuming the whole iterator take **O(|V| + |E|)**. pub fn edge_indices(&self) -> EdgeIndices<E, Ix> { EdgeIndices { rows: self.suc.iter().enumerate(), row_index: 0, row_len: 0, cur: 0, } } } /// A very simple adjacency list with no node or label weights. pub type UnweightedList<Ix> = List<(), Ix>; impl<E, Ix: IndexType> Build for List<E, Ix> { /// Adds a new node to the list. This allocates a new `Vec` and then should /// run in amortized **O(1)** time. fn add_node(&mut self, _weight: ()) -> NodeIndex<Ix> { self.add_node() } /// Add an edge from `a` to `b` to the graph, with its associated /// data `weight`. /// /// Return the index of the new edge. /// /// Computes in **O(1)** time. /// /// **Panics** if the source node does not exist.<br> /// /// **Note:** `List` allows adding parallel (“duplicate”) edges. If you want /// to avoid this, use [`.update_edge(a, b, weight)`](#method.update_edge) instead. fn add_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> Option<EdgeIndex<Ix>> { Some(self.add_edge(a, b, weight)) } /// Updates or adds an edge from `a` to `b` to the graph, with its associated /// data `weight`. /// /// Return the index of the new edge. /// /// Computes in **O(e')** time, where **e'** is the number of successors of `a`. /// /// **Panics** if the source node does not exist.<br> fn update_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> EdgeIndex<Ix> { let row = &mut self.suc[a.index()]; for (i, info) in row.iter_mut().enumerate() { if info.suc == b { info.weight = weight; return EdgeIndex { from: a, successor_index: i, }; } } let rank = row.len(); row.push(WSuc { suc: b, weight }); EdgeIndex { from: a, successor_index: rank, } } } impl<'a, E, Ix> fmt::Debug for EdgeReferences<'a, E, Ix> where E: fmt::Debug, Ix: IndexType, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { let mut edge_list = f.debug_list(); let iter: Self = self.clone(); for e in iter { if std::mem::size_of::<E>() != 0 { edge_list.entry(&( NoPretty((e.source().index(), e.target().index())), e.weight(), )); } else { edge_list.entry(&NoPretty((e.source().index(), e.target().index()))); } } edge_list.finish() } } impl<E, Ix> fmt::Debug for List<E, Ix> where E: fmt::Debug, Ix: IndexType, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { let mut fmt_struct = f.debug_struct("adj::List"); fmt_struct.field("node_count", &self.node_count()); fmt_struct.field("edge_count", &self.edge_count()); if self.edge_count() > 0 { fmt_struct.field("edges", &self.edge_references()); } fmt_struct.finish() } } impl<E, Ix> visit::GraphBase for List<E, Ix> where Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex<Ix>; } impl<E, Ix> visit::Visitable for List<E, Ix> where Ix: IndexType, { type Map = FixedBitSet; fn visit_map(&self) -> FixedBitSet { FixedBitSet::with_capacity(self.node_count()) } fn reset_map(&self, map: &mut Self::Map) { map.clear(); map.grow(self.node_count()); } } impl<'a, E, Ix: IndexType> visit::IntoNodeIdentifiers for &'a List<E, Ix> { type NodeIdentifiers = NodeIndices<Ix>; fn node_identifiers(self) -> NodeIndices<Ix> { self.node_indices() } } impl<Ix: IndexType> visit::NodeRef for NodeIndex<Ix> { type NodeId = NodeIndex<Ix>; type Weight = (); fn id(&self) -> Self::NodeId { *self } fn weight(&self) -> &Self::Weight { &() } } impl<'a, Ix: IndexType, E> visit::IntoNodeReferences for &'a List<E, Ix> { type NodeRef = NodeIndex<Ix>; type NodeReferences = NodeIndices<Ix>; fn node_references(self) -> Self::NodeReferences { self.node_indices() } } impl<E, Ix: IndexType> visit::Data for List<E, Ix> { type NodeWeight = (); type EdgeWeight = E; } impl<'a, E, Ix: IndexType> IntoNeighbors for &'a List<E, Ix> { type Neighbors = Neighbors<'a, E, Ix>; /// Returns an iterator of all nodes with an edge starting from `a`. /// Panics if `a` is out of bounds. /// Use [`List::edge_indices_from`] instead if you do not want to borrow the adjacency list while /// iterating. fn neighbors(self, a: NodeIndex<Ix>) -> Self::Neighbors { let proj: fn(&WSuc<E, Ix>) -> NodeIndex<Ix> = |x| x.suc; let iter = self.suc[a.index()].iter().map(proj); Neighbors { iter } } } type SomeIter<'a, E, Ix> = std::iter::Map< std::iter::Zip<std::iter::Enumerate<RowIter<'a, E, Ix>>, std::iter::Repeat<Ix>>, fn(((usize, &'a WSuc<E, Ix>), Ix)) -> EdgeReference<'a, E, Ix>, >; iterator_wrap! { impl (Iterator) for /// An iterator over the [`EdgeReference`] of all the edges of the graph. struct EdgeReferences<'a, E, Ix> where { Ix: IndexType } item: EdgeReference<'a, E, Ix>, iter: std::iter::FlatMap< std::iter::Enumerate< std::slice::Iter<'a, Row<E, Ix>> >, SomeIter<'a, E, Ix>, fn( (usize, &'a Vec<WSuc<E, Ix>>) ) -> SomeIter<'a, E, Ix>, >, } impl<'a, E, Ix: IndexType> Clone for EdgeReferences<'a, E, Ix> { fn clone(&self) -> Self { EdgeReferences { iter: self.iter.clone(), } } } fn proj1<E, Ix: IndexType>( ((successor_index, edge), from): ((usize, &WSuc<E, Ix>), Ix), ) -> EdgeReference<E, Ix> { let id = EdgeIndex { from, successor_index, }; EdgeReference { id, edge } } fn proj2<E, Ix: IndexType>((row_index, row): (usize, &Vec<WSuc<E, Ix>>)) -> SomeIter<E, Ix> { row.iter() .enumerate() .zip(std::iter::repeat(Ix::new(row_index))) .map(proj1 as _) } impl<'a, Ix: IndexType, E> visit::IntoEdgeReferences for &'a List<E, Ix> { type EdgeRef = EdgeReference<'a, E, Ix>; type EdgeReferences = EdgeReferences<'a, E, Ix>; fn edge_references(self) -> Self::EdgeReferences { let iter = self.suc.iter().enumerate().flat_map(proj2 as _); EdgeReferences { iter } } } iterator_wrap! { impl (Iterator) for /// Iterator over the [`EdgeReference`] of the outgoing edges from a node. #[derive(Debug, Clone)] struct OutgoingEdgeReferences<'a, E, Ix> where { Ix: IndexType } item: EdgeReference<'a, E, Ix>, iter: SomeIter<'a, E, Ix>, } impl<'a, Ix: IndexType, E> visit::IntoEdges for &'a List<E, Ix> { type Edges = OutgoingEdgeReferences<'a, E, Ix>; fn edges(self, a: Self::NodeId) -> Self::Edges { let iter = self.suc[a.index()] .iter() .enumerate() .zip(std::iter::repeat(a)) .map(proj1 as _); OutgoingEdgeReferences { iter } } } impl<E, Ix: IndexType> visit::GraphProp for List<E, Ix> { type EdgeType = crate::Directed; fn is_directed(&self) -> bool { true } } impl<E, Ix: IndexType> NodeCount for List<E, Ix> { /// Returns the number of nodes in the list /// /// Computes in **O(1)** time. fn node_count(&self) -> usize { self.suc.len() } } impl<E, Ix: IndexType> EdgeCount for List<E, Ix> { /// Returns the number of edges in the list /// /// Computes in **O(|V|)** time. fn edge_count(&self) -> usize { List::edge_count(self) } } impl<E, Ix: IndexType> visit::NodeIndexable for List<E, Ix> { fn node_bound(&self) -> usize { self.node_count() } #[inline] fn to_index(&self, a: Self::NodeId) -> usize { a.index() } #[inline] fn from_index(&self, i: usize) -> Self::NodeId { Ix::new(i) } } impl<E, Ix: IndexType> visit::NodeCompactIndexable for List<E, Ix> {} impl<E, Ix: IndexType> DataMap for List<E, Ix> { fn node_weight(&self, n: Self::NodeId) -> Option<&()> { if n.index() < self.suc.len() { Some(&()) } else { None } } /// Accesses the weight of edge `e` /// /// Computes in **O(1)** fn edge_weight(&self, e: EdgeIndex<Ix>) -> Option<&E> { self.get_edge(e).map(|x| &x.weight) } } impl<E, Ix: IndexType> DataMapMut for List<E, Ix> { fn node_weight_mut(&mut self, n: Self::NodeId) -> Option<&mut ()> { if n.index() < self.suc.len() { // A hack to produce a &'static mut () // It does not actually allocate according to godbolt let b = Box::new(()); Some(Box::leak(b)) } else { None } } /// Accesses the weight of edge `e` /// /// Computes in **O(1)** fn edge_weight_mut(&mut self, e: EdgeIndex<Ix>) -> Option<&mut E> { self.get_edge_mut(e).map(|x| &mut x.weight) } } /// The adjacency matrix for **List** is a bitmap that's computed by /// `.adjacency_matrix()`. impl<E, Ix> GetAdjacencyMatrix for List<E, Ix> where Ix: IndexType, { type AdjMatrix = FixedBitSet; fn adjacency_matrix(&self) -> FixedBitSet { let n = self.node_count(); let mut matrix = FixedBitSet::with_capacity(n * n); for edge in self.edge_references() { let i = edge.source().index() * n + edge.target().index(); matrix.put(i); let j = edge.source().index() + n * edge.target().index(); matrix.put(j); } matrix } fn is_adjacent(&self, matrix: &FixedBitSet, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { let n = self.edge_count(); let index = n * a.index() + b.index(); matrix.contains(index) } } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/astar.rs��������������������������������������������������������������������0000644�0000000�0000000�00000012343�10461020230�0014641�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::collections::hash_map::Entry::{Occupied, Vacant}; use std::collections::{BinaryHeap, HashMap}; use std::hash::Hash; use crate::scored::MinScored; use crate::visit::{EdgeRef, GraphBase, IntoEdges, Visitable}; use crate::algo::Measure; /// \[Generic\] A* shortest path algorithm. /// /// Computes the shortest path from `start` to `finish`, including the total path cost. /// /// `finish` is implicitly given via the `is_goal` callback, which should return `true` if the /// given node is the finish node. /// /// The function `edge_cost` should return the cost for a particular edge. Edge costs must be /// non-negative. /// /// The function `estimate_cost` should return the estimated cost to the finish for a particular /// node. For the algorithm to find the actual shortest path, it should be admissible, meaning that /// it should never overestimate the actual cost to get to the nearest goal node. Estimate costs /// must also be non-negative. /// /// The graph should be `Visitable` and implement `IntoEdges`. /// /// # Example /// ``` /// use petgraph::Graph; /// use petgraph::algo::astar; /// /// let mut g = Graph::new(); /// let a = g.add_node((0., 0.)); /// let b = g.add_node((2., 0.)); /// let c = g.add_node((1., 1.)); /// let d = g.add_node((0., 2.)); /// let e = g.add_node((3., 3.)); /// let f = g.add_node((4., 2.)); /// g.extend_with_edges(&[ /// (a, b, 2), /// (a, d, 4), /// (b, c, 1), /// (b, f, 7), /// (c, e, 5), /// (e, f, 1), /// (d, e, 1), /// ]); /// /// // Graph represented with the weight of each edge /// // Edges with '*' are part of the optimal path. /// // /// // 2 1 /// // a ----- b ----- c /// // | 4* | 7 | /// // d f | 5 /// // | 1* | 1* | /// // \------ e ------/ /// /// let path = astar(&g, a, |finish| finish == f, |e| *e.weight(), |_| 0); /// assert_eq!(path, Some((6, vec![a, d, e, f]))); /// ``` /// /// Returns the total cost + the path of subsequent `NodeId` from start to finish, if one was /// found. pub fn astar<G, F, H, K, IsGoal>( graph: G, start: G::NodeId, mut is_goal: IsGoal, mut edge_cost: F, mut estimate_cost: H, ) -> Option<(K, Vec<G::NodeId>)> where G: IntoEdges + Visitable, IsGoal: FnMut(G::NodeId) -> bool, G::NodeId: Eq + Hash, F: FnMut(G::EdgeRef) -> K, H: FnMut(G::NodeId) -> K, K: Measure + Copy, { let mut visit_next = BinaryHeap::new(); let mut scores = HashMap::new(); // g-values, cost to reach the node let mut estimate_scores = HashMap::new(); // f-values, cost to reach + estimate cost to goal let mut path_tracker = PathTracker::<G>::new(); let zero_score = K::default(); scores.insert(start, zero_score); visit_next.push(MinScored(estimate_cost(start), start)); while let Some(MinScored(estimate_score, node)) = visit_next.pop() { if is_goal(node) { let path = path_tracker.reconstruct_path_to(node); let cost = scores[&node]; return Some((cost, path)); } // This lookup can be unwrapped without fear of panic since the node was necessarily scored // before adding it to `visit_next`. let node_score = scores[&node]; match estimate_scores.entry(node) { Occupied(mut entry) => { // If the node has already been visited with an equal or lower score than now, then // we do not need to re-visit it. if *entry.get() <= estimate_score { continue; } entry.insert(estimate_score); } Vacant(entry) => { entry.insert(estimate_score); } } for edge in graph.edges(node) { let next = edge.target(); let next_score = node_score + edge_cost(edge); match scores.entry(next) { Occupied(mut entry) => { // No need to add neighbors that we have already reached through a shorter path // than now. if *entry.get() <= next_score { continue; } entry.insert(next_score); } Vacant(entry) => { entry.insert(next_score); } } path_tracker.set_predecessor(next, node); let next_estimate_score = next_score + estimate_cost(next); visit_next.push(MinScored(next_estimate_score, next)); } } None } struct PathTracker<G> where G: GraphBase, G::NodeId: Eq + Hash, { came_from: HashMap<G::NodeId, G::NodeId>, } impl<G> PathTracker<G> where G: GraphBase, G::NodeId: Eq + Hash, { fn new() -> PathTracker<G> { PathTracker { came_from: HashMap::new(), } } fn set_predecessor(&mut self, node: G::NodeId, previous: G::NodeId) { self.came_from.insert(node, previous); } fn reconstruct_path_to(&self, last: G::NodeId) -> Vec<G::NodeId> { let mut path = vec![last]; let mut current = last; while let Some(&previous) = self.came_from.get(¤t) { path.push(previous); current = previous; } path.reverse(); path } } ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/bellman_ford.rs�������������������������������������������������������������0000644�0000000�0000000�00000017604�10461020230�0016160�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Bellman-Ford algorithms. use crate::prelude::*; use crate::visit::{IntoEdges, IntoNodeIdentifiers, NodeCount, NodeIndexable, VisitMap, Visitable}; use super::{FloatMeasure, NegativeCycle}; #[derive(Debug, Clone)] pub struct Paths<NodeId, EdgeWeight> { pub distances: Vec<EdgeWeight>, pub predecessors: Vec<Option<NodeId>>, } /// \[Generic\] Compute shortest paths from node `source` to all other. /// /// Using the [Bellman–Ford algorithm][bf]; negative edge costs are /// permitted, but the graph must not have a cycle of negative weights /// (in that case it will return an error). /// /// On success, return one vec with path costs, and another one which points /// out the predecessor of a node along a shortest path. The vectors /// are indexed by the graph's node indices. /// /// [bf]: https://en.wikipedia.org/wiki/Bellman%E2%80%93Ford_algorithm /// /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::algo::bellman_ford; /// use petgraph::prelude::*; /// /// let mut g = Graph::new(); /// let a = g.add_node(()); // node with no weight /// let b = g.add_node(()); /// let c = g.add_node(()); /// let d = g.add_node(()); /// let e = g.add_node(()); /// let f = g.add_node(()); /// g.extend_with_edges(&[ /// (0, 1, 2.0), /// (0, 3, 4.0), /// (1, 2, 1.0), /// (1, 5, 7.0), /// (2, 4, 5.0), /// (4, 5, 1.0), /// (3, 4, 1.0), /// ]); /// /// // Graph represented with the weight of each edge /// // /// // 2 1 /// // a ----- b ----- c /// // | 4 | 7 | /// // d f | 5 /// // | 1 | 1 | /// // \------ e ------/ /// /// let path = bellman_ford(&g, a); /// assert!(path.is_ok()); /// let path = path.unwrap(); /// assert_eq!(path.distances, vec![ 0.0, 2.0, 3.0, 4.0, 5.0, 6.0]); /// assert_eq!(path.predecessors, vec![None, Some(a),Some(b),Some(a), Some(d), Some(e)]); /// /// // Node f (indice 5) can be reach from a with a path costing 6. /// // Predecessor of f is Some(e) which predecessor is Some(d) which predecessor is Some(a). /// // Thus the path from a to f is a <-> d <-> e <-> f /// /// let graph_with_neg_cycle = Graph::<(), f32, Undirected>::from_edges(&[ /// (0, 1, -2.0), /// (0, 3, -4.0), /// (1, 2, -1.0), /// (1, 5, -25.0), /// (2, 4, -5.0), /// (4, 5, -25.0), /// (3, 4, -1.0), /// ]); /// /// assert!(bellman_ford(&graph_with_neg_cycle, NodeIndex::new(0)).is_err()); /// ``` pub fn bellman_ford<G>( g: G, source: G::NodeId, ) -> Result<Paths<G::NodeId, G::EdgeWeight>, NegativeCycle> where G: NodeCount + IntoNodeIdentifiers + IntoEdges + NodeIndexable, G::EdgeWeight: FloatMeasure, { let ix = |i| g.to_index(i); // Step 1 and Step 2: initialize and relax let (distances, predecessors) = bellman_ford_initialize_relax(g, source); // Step 3: check for negative weight cycle for i in g.node_identifiers() { for edge in g.edges(i) { let j = edge.target(); let w = *edge.weight(); if distances[ix(i)] + w < distances[ix(j)] { return Err(NegativeCycle(())); } } } Ok(Paths { distances, predecessors, }) } /// \[Generic\] Find the path of a negative cycle reachable from node `source`. /// /// Using the [find_negative_cycle][nc]; will search the Graph for negative cycles using /// [Bellman–Ford algorithm][bf]. If no negative cycle is found the function will return `None`. /// /// If a negative cycle is found from source, return one vec with a path of `NodeId`s. /// /// The time complexity of this algorithm should be the same as the Bellman-Ford (O(|V|·|E|)). /// /// [nc]: https://blogs.asarkar.com/assets/docs/algorithms-curated/Negative-Weight%20Cycle%20Algorithms%20-%20Huang.pdf /// [bf]: https://en.wikipedia.org/wiki/Bellman%E2%80%93Ford_algorithm /// /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::algo::find_negative_cycle; /// use petgraph::prelude::*; /// /// let graph_with_neg_cycle = Graph::<(), f32, Directed>::from_edges(&[ /// (0, 1, 1.), /// (0, 2, 1.), /// (0, 3, 1.), /// (1, 3, 1.), /// (2, 1, 1.), /// (3, 2, -3.), /// ]); /// /// let path = find_negative_cycle(&graph_with_neg_cycle, NodeIndex::new(0)); /// assert_eq!( /// path, /// Some([NodeIndex::new(1), NodeIndex::new(3), NodeIndex::new(2)].to_vec()) /// ); /// ``` pub fn find_negative_cycle<G>(g: G, source: G::NodeId) -> Option<Vec<G::NodeId>> where G: NodeCount + IntoNodeIdentifiers + IntoEdges + NodeIndexable + Visitable, G::EdgeWeight: FloatMeasure, { let ix = |i| g.to_index(i); let mut path = Vec::<G::NodeId>::new(); // Step 1: initialize and relax let (distance, predecessor) = bellman_ford_initialize_relax(g, source); // Step 2: Check for negative weight cycle 'outer: for i in g.node_identifiers() { for edge in g.edges(i) { let j = edge.target(); let w = *edge.weight(); if distance[ix(i)] + w < distance[ix(j)] { // Step 3: negative cycle found let start = j; let mut node = start; let mut visited = g.visit_map(); // Go backward in the predecessor chain loop { let ancestor = match predecessor[ix(node)] { Some(predecessor_node) => predecessor_node, None => node, // no predecessor, self cycle }; // We have only 2 ways to find the cycle and break the loop: // 1. start is reached if ancestor == start { path.push(ancestor); break; } // 2. some node was reached twice else if visited.is_visited(&ancestor) { // Drop any node in path that is before the first ancestor let pos = path .iter() .position(|&p| p == ancestor) .expect("we should always have a position"); path = path[pos..path.len()].to_vec(); break; } // None of the above, some middle path node path.push(ancestor); visited.visit(ancestor); node = ancestor; } // We are done here break 'outer; } } } if !path.is_empty() { // Users will probably need to follow the path of the negative cycle // so it should be in the reverse order than it was found by the algorithm. path.reverse(); Some(path) } else { None } } // Perform Step 1 and Step 2 of the Bellman-Ford algorithm. #[inline(always)] fn bellman_ford_initialize_relax<G>( g: G, source: G::NodeId, ) -> (Vec<G::EdgeWeight>, Vec<Option<G::NodeId>>) where G: NodeCount + IntoNodeIdentifiers + IntoEdges + NodeIndexable, G::EdgeWeight: FloatMeasure, { // Step 1: initialize graph let mut predecessor = vec![None; g.node_bound()]; let mut distance = vec![<_>::infinite(); g.node_bound()]; let ix = |i| g.to_index(i); distance[ix(source)] = <_>::zero(); // Step 2: relax edges repeatedly for _ in 1..g.node_count() { let mut did_update = false; for i in g.node_identifiers() { for edge in g.edges(i) { let j = edge.target(); let w = *edge.weight(); if distance[ix(i)] + w < distance[ix(j)] { distance[ix(j)] = distance[ix(i)] + w; predecessor[ix(j)] = Some(i); did_update = true; } } } if !did_update { break; } } (distance, predecessor) } ����������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/dijkstra.rs�����������������������������������������������������������������0000644�0000000�0000000�00000007142�10461020230�0015343�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::collections::hash_map::Entry::{Occupied, Vacant}; use std::collections::{BinaryHeap, HashMap}; use std::hash::Hash; use crate::algo::Measure; use crate::scored::MinScored; use crate::visit::{EdgeRef, IntoEdges, VisitMap, Visitable}; /// \[Generic\] Dijkstra's shortest path algorithm. /// /// Compute the length of the shortest path from `start` to every reachable /// node. /// /// The graph should be `Visitable` and implement `IntoEdges`. The function /// `edge_cost` should return the cost for a particular edge, which is used /// to compute path costs. Edge costs must be non-negative. /// /// If `goal` is not `None`, then the algorithm terminates once the `goal` node's /// cost is calculated. /// /// Returns a `HashMap` that maps `NodeId` to path cost. /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::algo::dijkstra; /// use petgraph::prelude::*; /// use std::collections::HashMap; /// /// let mut graph: Graph<(), (), Directed> = Graph::new(); /// let a = graph.add_node(()); // node with no weight /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// let e = graph.add_node(()); /// let f = graph.add_node(()); /// let g = graph.add_node(()); /// let h = graph.add_node(()); /// // z will be in another connected component /// let z = graph.add_node(()); /// /// graph.extend_with_edges(&[ /// (a, b), /// (b, c), /// (c, d), /// (d, a), /// (e, f), /// (b, e), /// (f, g), /// (g, h), /// (h, e), /// ]); /// // a ----> b ----> e ----> f /// // ^ | ^ | /// // | v | v /// // d <---- c h <---- g /// /// let expected_res: HashMap<NodeIndex, usize> = [ /// (a, 3), /// (b, 0), /// (c, 1), /// (d, 2), /// (e, 1), /// (f, 2), /// (g, 3), /// (h, 4), /// ].iter().cloned().collect(); /// let res = dijkstra(&graph, b, None, |_| 1); /// assert_eq!(res, expected_res); /// // z is not inside res because there is not path from b to z. /// ``` pub fn dijkstra<G, F, K>( graph: G, start: G::NodeId, goal: Option<G::NodeId>, mut edge_cost: F, ) -> HashMap<G::NodeId, K> where G: IntoEdges + Visitable, G::NodeId: Eq + Hash, F: FnMut(G::EdgeRef) -> K, K: Measure + Copy, { let mut visited = graph.visit_map(); let mut scores = HashMap::new(); //let mut predecessor = HashMap::new(); let mut visit_next = BinaryHeap::new(); let zero_score = K::default(); scores.insert(start, zero_score); visit_next.push(MinScored(zero_score, start)); while let Some(MinScored(node_score, node)) = visit_next.pop() { if visited.is_visited(&node) { continue; } if goal.as_ref() == Some(&node) { break; } for edge in graph.edges(node) { let next = edge.target(); if visited.is_visited(&next) { continue; } let next_score = node_score + edge_cost(edge); match scores.entry(next) { Occupied(ent) => { if next_score < *ent.get() { *ent.into_mut() = next_score; visit_next.push(MinScored(next_score, next)); //predecessor.insert(next.clone(), node.clone()); } } Vacant(ent) => { ent.insert(next_score); visit_next.push(MinScored(next_score, next)); //predecessor.insert(next.clone(), node.clone()); } } } visited.visit(node); } scores } ������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/dominators.rs���������������������������������������������������������������0000644�0000000�0000000�00000023166�10461020230�0015713�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Compute dominators of a control-flow graph. //! //! # The Dominance Relation //! //! In a directed graph with a root node **R**, a node **A** is said to *dominate* a //! node **B** iff every path from **R** to **B** contains **A**. //! //! The node **A** is said to *strictly dominate* the node **B** iff **A** dominates //! **B** and **A ≠ B**. //! //! The node **A** is said to be the *immediate dominator* of a node **B** iff it //! strictly dominates **B** and there does not exist any node **C** where **A** //! dominates **C** and **C** dominates **B**. use std::cmp::Ordering; use std::collections::{hash_map::Iter, HashMap, HashSet}; use std::hash::Hash; use crate::visit::{DfsPostOrder, GraphBase, IntoNeighbors, Visitable, Walker}; /// The dominance relation for some graph and root. #[derive(Debug, Clone)] pub struct Dominators<N> where N: Copy + Eq + Hash, { root: N, dominators: HashMap<N, N>, } impl<N> Dominators<N> where N: Copy + Eq + Hash, { /// Get the root node used to construct these dominance relations. pub fn root(&self) -> N { self.root } /// Get the immediate dominator of the given node. /// /// Returns `None` for any node that is not reachable from the root, and for /// the root itself. pub fn immediate_dominator(&self, node: N) -> Option<N> { if node == self.root { None } else { self.dominators.get(&node).cloned() } } /// Iterate over the given node's strict dominators. /// /// If the given node is not reachable from the root, then `None` is /// returned. pub fn strict_dominators(&self, node: N) -> Option<DominatorsIter<N>> { if self.dominators.contains_key(&node) { Some(DominatorsIter { dominators: self, node: self.immediate_dominator(node), }) } else { None } } /// Iterate over all of the given node's dominators (including the given /// node itself). /// /// If the given node is not reachable from the root, then `None` is /// returned. pub fn dominators(&self, node: N) -> Option<DominatorsIter<N>> { if self.dominators.contains_key(&node) { Some(DominatorsIter { dominators: self, node: Some(node), }) } else { None } } /// Iterate over all nodes immediately dominated by the given node (not /// including the given node itself). pub fn immediately_dominated_by(&self, node: N) -> DominatedByIter<N> { DominatedByIter { iter: self.dominators.iter(), node, } } } /// Iterator for a node's dominators. #[derive(Debug, Clone)] pub struct DominatorsIter<'a, N> where N: 'a + Copy + Eq + Hash, { dominators: &'a Dominators<N>, node: Option<N>, } impl<'a, N> Iterator for DominatorsIter<'a, N> where N: 'a + Copy + Eq + Hash, { type Item = N; fn next(&mut self) -> Option<Self::Item> { let next = self.node.take(); if let Some(next) = next { self.node = self.dominators.immediate_dominator(next); } next } } /// Iterator for nodes dominated by a given node. #[derive(Debug, Clone)] pub struct DominatedByIter<'a, N> where N: 'a + Copy + Eq + Hash, { iter: Iter<'a, N, N>, node: N, } impl<'a, N> Iterator for DominatedByIter<'a, N> where N: 'a + Copy + Eq + Hash, { type Item = N; fn next(&mut self) -> Option<Self::Item> { while let Some(next) = self.iter.next() { if next.1 == &self.node { return Some(*next.0); } } None } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } /// The undefined dominator sentinel, for when we have not yet discovered a /// node's dominator. const UNDEFINED: usize = ::std::usize::MAX; /// This is an implementation of the engineered ["Simple, Fast Dominance /// Algorithm"][0] discovered by Cooper et al. /// /// This algorithm is **O(|V|²)**, and therefore has slower theoretical running time /// than the Lengauer-Tarjan algorithm (which is **O(|E| log |V|)**. However, /// Cooper et al found it to be faster in practice on control flow graphs of up /// to ~30,000 vertices. /// /// [0]: http://www.cs.rice.edu/~keith/EMBED/dom.pdf pub fn simple_fast<G>(graph: G, root: G::NodeId) -> Dominators<G::NodeId> where G: IntoNeighbors + Visitable, <G as GraphBase>::NodeId: Eq + Hash, { let (post_order, predecessor_sets) = simple_fast_post_order(graph, root); let length = post_order.len(); debug_assert!(length > 0); debug_assert!(post_order.last() == Some(&root)); // From here on out we use indices into `post_order` instead of actual // `NodeId`s wherever possible. This greatly improves the performance of // this implementation, but we have to pay a little bit of upfront cost to // convert our data structures to play along first. // Maps a node to its index into `post_order`. let node_to_post_order_idx: HashMap<_, _> = post_order .iter() .enumerate() .map(|(idx, &node)| (node, idx)) .collect(); // Maps a node's `post_order` index to its set of predecessors's indices // into `post_order` (as a vec). let idx_to_predecessor_vec = predecessor_sets_to_idx_vecs(&post_order, &node_to_post_order_idx, predecessor_sets); let mut dominators = vec![UNDEFINED; length]; dominators[length - 1] = length - 1; let mut changed = true; while changed { changed = false; // Iterate in reverse post order, skipping the root. for idx in (0..length - 1).rev() { debug_assert!(post_order[idx] != root); // Take the intersection of every predecessor's dominator set; that // is the current best guess at the immediate dominator for this // node. let new_idom_idx = { let mut predecessors = idx_to_predecessor_vec[idx] .iter() .filter(|&&p| dominators[p] != UNDEFINED); let new_idom_idx = predecessors.next().expect( "Because the root is initialized to dominate itself, and is the \ first node in every path, there must exist a predecessor to this \ node that also has a dominator", ); predecessors.fold(*new_idom_idx, |new_idom_idx, &predecessor_idx| { intersect(&dominators, new_idom_idx, predecessor_idx) }) }; debug_assert!(new_idom_idx < length); if new_idom_idx != dominators[idx] { dominators[idx] = new_idom_idx; changed = true; } } } // All done! Translate the indices back into proper `G::NodeId`s. debug_assert!(!dominators.iter().any(|&dom| dom == UNDEFINED)); Dominators { root, dominators: dominators .into_iter() .enumerate() .map(|(idx, dom_idx)| (post_order[idx], post_order[dom_idx])) .collect(), } } fn intersect(dominators: &[usize], mut finger1: usize, mut finger2: usize) -> usize { loop { match finger1.cmp(&finger2) { Ordering::Less => finger1 = dominators[finger1], Ordering::Greater => finger2 = dominators[finger2], Ordering::Equal => return finger1, } } } fn predecessor_sets_to_idx_vecs<N>( post_order: &[N], node_to_post_order_idx: &HashMap<N, usize>, mut predecessor_sets: HashMap<N, HashSet<N>>, ) -> Vec<Vec<usize>> where N: Copy + Eq + Hash, { post_order .iter() .map(|node| { predecessor_sets .remove(node) .map(|predecessors| { predecessors .into_iter() .map(|p| *node_to_post_order_idx.get(&p).unwrap()) .collect() }) .unwrap_or_else(Vec::new) }) .collect() } type PredecessorSets<NodeId> = HashMap<NodeId, HashSet<NodeId>>; fn simple_fast_post_order<G>( graph: G, root: G::NodeId, ) -> (Vec<G::NodeId>, PredecessorSets<G::NodeId>) where G: IntoNeighbors + Visitable, <G as GraphBase>::NodeId: Eq + Hash, { let mut post_order = vec![]; let mut predecessor_sets = HashMap::new(); for node in DfsPostOrder::new(graph, root).iter(graph) { post_order.push(node); for successor in graph.neighbors(node) { predecessor_sets .entry(successor) .or_insert_with(HashSet::new) .insert(node); } } (post_order, predecessor_sets) } #[cfg(test)] mod tests { use super::*; #[test] fn test_iter_dominators() { let doms: Dominators<u32> = Dominators { root: 0, dominators: [(2, 1), (1, 0), (0, 0)].iter().cloned().collect(), }; let all_doms: Vec<_> = doms.dominators(2).unwrap().collect(); assert_eq!(vec![2, 1, 0], all_doms); assert_eq!(None::<()>, doms.dominators(99).map(|_| unreachable!())); let strict_doms: Vec<_> = doms.strict_dominators(2).unwrap().collect(); assert_eq!(vec![1, 0], strict_doms); assert_eq!( None::<()>, doms.strict_dominators(99).map(|_| unreachable!()) ); let dom_by: Vec<_> = doms.immediately_dominated_by(1).collect(); assert_eq!(vec![2], dom_by); assert_eq!(None, doms.immediately_dominated_by(99).next()); } } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/feedback_arc_set.rs���������������������������������������������������������0000644�0000000�0000000�00000032433�10461020230�0016755�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::{ collections::{HashMap, VecDeque}, ops::{Index, IndexMut}, }; use crate::{ graph::{GraphIndex, NodeIndex}, visit::{EdgeRef, GraphProp, IntoEdgeReferences}, Directed, }; use self::linked_list::{LinkedList, LinkedListEntry}; /// \[Generic\] Finds a [feedback arc set]: a set of edges in the given directed graph, which when /// removed, make the graph acyclic. /// /// Uses a [greedy heuristic algorithm] to select a small number of edges, but does not necessarily /// find the minimum feedback arc set. Time complexity is roughly **O(|E|)** for an input graph with /// edges **E**. /// /// Does not consider edge/node weights when selecting edges for the feedback arc set. /// /// Loops (edges to and from the same node) are always included in the returned set. /// /// # Example /// /// ``` /// # #[cfg(feature = "stable_graph")] { /// use petgraph::{ /// algo::{greedy_feedback_arc_set, is_cyclic_directed}, /// graph::EdgeIndex, /// stable_graph::StableGraph, /// visit::EdgeRef, /// }; /// /// let mut g: StableGraph<(), ()> = StableGraph::from_edges(&[ /// (0, 1), /// (1, 2), /// (2, 3), /// (3, 4), /// (4, 5), /// (5, 0), /// (4, 1), /// (1, 3), /// ]); /// /// assert!(is_cyclic_directed(&g)); /// /// let fas: Vec<EdgeIndex> = greedy_feedback_arc_set(&g).map(|e| e.id()).collect(); /// /// // Remove edges in feedback arc set from original graph /// for edge_id in fas { /// g.remove_edge(edge_id); /// } /// /// assert!(!is_cyclic_directed(&g)); /// # } /// ``` /// /// [feedback arc set]: https://en.wikipedia.org/wiki/Feedback_arc_set /// [greedy heuristic algorithm]: https://doi.org/10.1016/0020-0190(93)90079-O pub fn greedy_feedback_arc_set<G>(g: G) -> impl Iterator<Item = G::EdgeRef> where G: IntoEdgeReferences + GraphProp<EdgeType = Directed>, G::NodeId: GraphIndex, G: crate::visit::NodeCount, { let node_seq = good_node_sequence(g.edge_references().map(|e| { ( NodeIndex::new(e.source().index()), NodeIndex::new(e.target().index()), ) })); g.edge_references() .filter(move |e| node_seq[&e.source().index()] >= node_seq[&e.target().index()]) } fn good_node_sequence( edge_refs: impl Iterator<Item = (NodeIndex<usize>, NodeIndex<usize>)>, ) -> HashMap<usize, usize> { let mut nodes = FasNodeContainer { nodes: Vec::new() }; let mut buckets = Buckets { sinks_or_isolated: NodeLinkedList::new(), sources: NodeLinkedList::new(), bidirectional_pve_dd: Vec::new(), bidirectional_nve_dd: Vec::new(), }; // Lookup of node indices from input graph to indices into `nodes` let mut graph_ix_lookup = HashMap::new(); // Build node entries for (from_g_ix, to_g_ix) in edge_refs { let mut fas_node_entry = |g_ix: NodeIndex<usize>| -> FasNodeIndex { match graph_ix_lookup.get(&g_ix) { Some(fas_ix) => *fas_ix, None => { let fas_ix = FasNodeIndex(nodes.nodes.len()); nodes.nodes.push(LinkedListEntry::new(FasNode { graph_ix: g_ix, out_edges: Vec::new(), in_edges: Vec::new(), out_degree: 0, in_degree: 0, })); graph_ix_lookup.insert(g_ix, fas_ix); fas_ix } } }; let from_fas_ix = fas_node_entry(from_g_ix); let to_fas_ix = fas_node_entry(to_g_ix); nodes[from_fas_ix].data().out_edges.push(to_fas_ix); nodes[to_fas_ix].data().in_edges.push(from_fas_ix); } // Set initial in/out-degrees for entry in nodes.nodes.iter_mut() { let node = entry.data(); node.out_degree = node.out_edges.len(); node.in_degree = node.in_edges.len(); } // Add nodes to initial lists for i in 0..nodes.nodes.len() { let fas_ix = FasNodeIndex(i); buckets .suitable_bucket(fas_ix, &mut nodes) .push_front(fas_ix, &mut nodes); } let mut s_1 = VecDeque::new(); let mut s_2 = VecDeque::new(); loop { let mut some_moved = false; while let Some(sink_fas_ix) = buckets.sinks_or_isolated.pop(&mut nodes) { some_moved = true; buckets.update_neighbour_node_buckets(sink_fas_ix, &mut nodes); s_2.push_front(nodes[sink_fas_ix].data().graph_ix); } while let Some(source_fas_ix) = buckets.sources.pop(&mut nodes) { some_moved = true; buckets.update_neighbour_node_buckets(source_fas_ix, &mut nodes); s_1.push_back(nodes[source_fas_ix].data().graph_ix); } if let Some(list) = buckets .bidirectional_pve_dd .iter_mut() .rev() .chain(buckets.bidirectional_nve_dd.iter_mut()) .find(|b| b.start.is_some()) { let highest_dd_fas_ix = list.pop(&mut nodes).unwrap(); some_moved = true; buckets.update_neighbour_node_buckets(highest_dd_fas_ix, &mut nodes); s_1.push_back(nodes[highest_dd_fas_ix].data().graph_ix); Buckets::trim_bucket_list(&mut buckets.bidirectional_pve_dd); Buckets::trim_bucket_list(&mut buckets.bidirectional_nve_dd); } if !some_moved { break; } } s_1.into_iter() .chain(s_2) .enumerate() .map(|(seq_order, node_index)| (node_index.index(), seq_order)) .collect() } type NodeLinkedList = LinkedList<FasNode, FasNodeContainer, FasNodeIndex>; #[derive(Debug)] struct FasNodeContainer { nodes: Vec<LinkedListEntry<FasNode, FasNodeIndex>>, } impl Index<FasNodeIndex> for FasNodeContainer { type Output = LinkedListEntry<FasNode, FasNodeIndex>; fn index(&self, index: FasNodeIndex) -> &Self::Output { &self.nodes[index.0] } } impl IndexMut<FasNodeIndex> for FasNodeContainer { fn index_mut(&mut self, index: FasNodeIndex) -> &mut Self::Output { &mut self.nodes[index.0] } } #[derive(Debug)] struct Buckets { sinks_or_isolated: NodeLinkedList, sources: NodeLinkedList, /// Bidirectional nodes with positive-or-0 delta degree bidirectional_pve_dd: Vec<NodeLinkedList>, /// Bidirectional nodes with negative delta degree (index 0 is -1 dd, 1 is -2 etc) bidirectional_nve_dd: Vec<NodeLinkedList>, } #[derive(Clone, Copy, PartialEq, Debug)] struct FasNodeIndex(usize); /// Represents a node from the input graph, tracking its current delta degree #[derive(Debug)] struct FasNode { /// Node index in input graph. graph_ix: NodeIndex<usize>, /// All outward edges from this node (not removed during processing) out_edges: Vec<FasNodeIndex>, /// All inward edges from this node (not removed during processing) in_edges: Vec<FasNodeIndex>, /// Current out-degree of this node (decremented during processing as connected nodes are /// removed) out_degree: usize, /// Current in-degree of this node (decremented during processing as connected nodes are /// removed) in_degree: usize, } impl Buckets { fn suitable_bucket( &mut self, ix: FasNodeIndex, nodes: &mut FasNodeContainer, ) -> &mut NodeLinkedList { let node = nodes[ix].data(); if node.out_degree == 0 { &mut self.sinks_or_isolated } else if node.in_degree == 0 { &mut self.sources } else { let delta_degree = node.out_degree as isize - node.in_degree as isize; if delta_degree >= 0 { let bucket_ix = delta_degree as usize; if self.bidirectional_pve_dd.len() <= bucket_ix { self.bidirectional_pve_dd .resize_with(bucket_ix + 1, NodeLinkedList::new); } &mut self.bidirectional_pve_dd[bucket_ix] } else { let bucket_ix = (-delta_degree - 1) as usize; if self.bidirectional_nve_dd.len() <= bucket_ix { self.bidirectional_nve_dd .resize_with(bucket_ix + 1, NodeLinkedList::new); } &mut self.bidirectional_nve_dd[bucket_ix] } } } fn update_neighbour_node_buckets(&mut self, ix: FasNodeIndex, nodes: &mut FasNodeContainer) { for i in 0..nodes[ix].data().out_edges.len() { let out_ix = nodes[ix].data().out_edges[i]; if out_ix == ix { continue; } // Ignore nodes which have already been moved to the good sequence if !nodes[out_ix].is_in_list() { continue; } self.suitable_bucket(out_ix, nodes).remove(out_ix, nodes); // Other node has lost an in-edge; reduce in-degree by 1 nodes[out_ix].data().in_degree -= 1; self.suitable_bucket(out_ix, nodes) .push_front(out_ix, nodes); } for i in 0..nodes[ix].data().in_edges.len() { let in_ix = nodes[ix].data().in_edges[i]; if in_ix == ix { continue; } // Ignore nodes which have already been moved to the good sequence if !nodes[in_ix].is_in_list() { continue; } self.suitable_bucket(in_ix, nodes).remove(in_ix, nodes); // Other node has lost an out-edge; reduce out-degree by 1 nodes[in_ix].data().out_degree -= 1; self.suitable_bucket(in_ix, nodes).push_front(in_ix, nodes); } } fn trim_bucket_list(list: &mut Vec<NodeLinkedList>) { let trunc_len = if let Some(highest_populated_index) = (0..list.len()).rev().find(|i| list[*i].start.is_some()) { highest_populated_index + 1 } else { 0 }; list.truncate(trunc_len); } } mod linked_list { use std::{marker::PhantomData, ops::IndexMut}; #[derive(PartialEq, Debug)] pub struct LinkedList<Data, Container, Ix> { pub start: Option<Ix>, marker: PhantomData<(Data, Container)>, } #[derive(Debug)] pub struct LinkedListEntry<Data, Ix> { pos: Option<LinkedListPosition<Ix>>, data: Data, } #[derive(Debug)] struct LinkedListPosition<Ix> { prev: Option<Ix>, next: Option<Ix>, } impl<Data, Ix> LinkedListEntry<Data, Ix> { pub fn new(data: Data) -> Self { LinkedListEntry { pos: None, data } } pub fn data(&mut self) -> &mut Data { &mut self.data } pub fn is_in_list(&mut self) -> bool { self.pos.is_some() } fn pos_mut(&mut self) -> &mut LinkedListPosition<Ix> { self.pos .as_mut() .expect("expected linked list entry to have populated position") } } impl<Data, Container, Ix> LinkedList<Data, Container, Ix> where Container: IndexMut<Ix, Output = LinkedListEntry<Data, Ix>>, Ix: PartialEq + Copy, { pub fn new() -> Self { LinkedList { start: None, marker: PhantomData, } } pub fn push_front(&mut self, push_ix: Ix, container: &mut Container) { if let Some(start_ix) = self.start { let entry = &mut container[start_ix]; entry.pos_mut().prev = Some(push_ix); } let push_entry = &mut container[push_ix]; push_entry.pos = Some(LinkedListPosition { next: self.start, prev: None, }); self.start = Some(push_ix); } pub fn pop(&mut self, container: &mut Container) -> Option<Ix> { if let Some(remove_ix) = self.start { self.remove(remove_ix, container); Some(remove_ix) } else { None } } /// `remove_ix` **must** be a member of the list headed by `self` pub fn remove(&mut self, remove_ix: Ix, container: &mut Container) { debug_assert!( self.to_vec(container).contains(&remove_ix), "node to remove should be member of current linked list" ); let remove_entry = &mut container[remove_ix]; let ll_entry = remove_entry.pos.take().unwrap(); if let Some(prev_ix) = ll_entry.prev { let prev_node = &mut container[prev_ix]; prev_node.pos_mut().next = ll_entry.next; } if let Some(next_ix) = ll_entry.next { let next_node = &mut container[next_ix]; next_node.pos_mut().prev = ll_entry.prev; } // If the removed node was head of the list if self.start == Some(remove_ix) { self.start = ll_entry.next; } } /// For debug purposes fn to_vec(&self, container: &mut Container) -> Vec<Ix> { let mut ixs = Vec::new(); let mut node_ix = self.start; while let Some(n_ix) = node_ix { ixs.push(n_ix); node_ix = container[n_ix].pos_mut().next; } ixs } } } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/floyd_warshall.rs�����������������������������������������������������������0000644�0000000�0000000�00000010457�10461020230�0016545�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::collections::HashMap; use std::hash::Hash; use crate::algo::{BoundedMeasure, NegativeCycle}; use crate::visit::{ EdgeRef, GraphProp, IntoEdgeReferences, IntoNodeIdentifiers, NodeCompactIndexable, }; #[allow(clippy::type_complexity, clippy::needless_range_loop)] /// \[Generic\] [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm) is an algorithm for all pairs shortest path problem /// /// Compute shortest paths in a weighted graph with positive or negative edge weights (but with no negative cycles) /// /// # Arguments /// * `graph`: graph with no negative cycle /// * `edge_cost`: closure that returns cost of a particular edge /// /// # Returns /// * `Ok`: (if graph contains no negative cycle) a hashmap containing all pairs shortest paths /// * `Err`: if graph contains negative cycle. /// /// # Examples /// ```rust /// use petgraph::{prelude::*, Graph, Directed}; /// use petgraph::algo::floyd_warshall; /// use std::collections::HashMap; /// /// let mut graph: Graph<(), (), Directed> = Graph::new(); /// let a = graph.add_node(()); /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// /// graph.extend_with_edges(&[ /// (a, b), /// (a, c), /// (a, d), /// (b, c), /// (b, d), /// (c, d) /// ]); /// /// let weight_map: HashMap<(NodeIndex, NodeIndex), i32> = [ /// ((a, a), 0), ((a, b), 1), ((a, c), 4), ((a, d), 10), /// ((b, b), 0), ((b, c), 2), ((b, d), 2), /// ((c, c), 0), ((c, d), 2) /// ].iter().cloned().collect(); /// // ----- b -------- /// // | ^ | 2 /// // | 1 | 4 v /// // 2 | a ------> c /// // | 10 | | 2 /// // | v v /// // ---> d <------- /// /// let inf = std::i32::MAX; /// let expected_res: HashMap<(NodeIndex, NodeIndex), i32> = [ /// ((a, a), 0), ((a, b), 1), ((a, c), 3), ((a, d), 3), /// ((b, a), inf), ((b, b), 0), ((b, c), 2), ((b, d), 2), /// ((c, a), inf), ((c, b), inf), ((c, c), 0), ((c, d), 2), /// ((d, a), inf), ((d, b), inf), ((d, c), inf), ((d, d), 0), /// ].iter().cloned().collect(); /// /// /// let res = floyd_warshall(&graph, |edge| { /// if let Some(weight) = weight_map.get(&(edge.source(), edge.target())) { /// *weight /// } else { /// inf /// } /// }).unwrap(); /// /// let nodes = [a, b, c, d]; /// for node1 in &nodes { /// for node2 in &nodes { /// assert_eq!(res.get(&(*node1, *node2)).unwrap(), expected_res.get(&(*node1, *node2)).unwrap()); /// } /// } /// ``` pub fn floyd_warshall<G, F, K>( graph: G, mut edge_cost: F, ) -> Result<HashMap<(G::NodeId, G::NodeId), K>, NegativeCycle> where G: NodeCompactIndexable + IntoEdgeReferences + IntoNodeIdentifiers + GraphProp, G::NodeId: Eq + Hash, F: FnMut(G::EdgeRef) -> K, K: BoundedMeasure + Copy, { let num_of_nodes = graph.node_count(); // |V|x|V| matrix let mut dist = vec![vec![K::max(); num_of_nodes]; num_of_nodes]; // init distances of paths with no intermediate nodes for edge in graph.edge_references() { dist[graph.to_index(edge.source())][graph.to_index(edge.target())] = edge_cost(edge); if !graph.is_directed() { dist[graph.to_index(edge.target())][graph.to_index(edge.source())] = edge_cost(edge); } } // distance of each node to itself is 0(default value) for node in graph.node_identifiers() { dist[graph.to_index(node)][graph.to_index(node)] = K::default(); } for k in 0..num_of_nodes { for i in 0..num_of_nodes { for j in 0..num_of_nodes { let (result, overflow) = dist[i][k].overflowing_add(dist[k][j]); if !overflow && dist[i][j] > result { dist[i][j] = result; } } } } // value less than 0(default value) indicates a negative cycle for i in 0..num_of_nodes { if dist[i][i] < K::default() { return Err(NegativeCycle(())); } } let mut distance_map: HashMap<(G::NodeId, G::NodeId), K> = HashMap::with_capacity(num_of_nodes * num_of_nodes); for i in 0..num_of_nodes { for j in 0..num_of_nodes { distance_map.insert((graph.from_index(i), graph.from_index(j)), dist[i][j]); } } Ok(distance_map) } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/isomorphism.rs��������������������������������������������������������������0000644�0000000�0000000�00000102133�10461020230�0016075�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::convert::TryFrom; use crate::data::DataMap; use crate::visit::EdgeCount; use crate::visit::EdgeRef; use crate::visit::GetAdjacencyMatrix; use crate::visit::GraphBase; use crate::visit::GraphProp; use crate::visit::IntoEdgesDirected; use crate::visit::IntoNeighborsDirected; use crate::visit::NodeCompactIndexable; use crate::{Incoming, Outgoing}; use self::semantic::EdgeMatcher; use self::semantic::NoSemanticMatch; use self::semantic::NodeMatcher; use self::state::Vf2State; mod state { use super::*; #[derive(Debug)] // TODO: make mapping generic over the index type of the other graph. pub struct Vf2State<'a, G: GetAdjacencyMatrix> { /// A reference to the graph this state was built from. pub graph: &'a G, /// The current mapping M(s) of nodes from G0 → G1 and G1 → G0, /// `usize::MAX` for no mapping. pub mapping: Vec<usize>, /// out[i] is non-zero if i is in either M_0(s) or Tout_0(s) /// These are all the next vertices that are not mapped yet, but /// have an outgoing edge from the mapping. out: Vec<usize>, /// ins[i] is non-zero if i is in either M_0(s) or Tin_0(s) /// These are all the incoming vertices, those not mapped yet, but /// have an edge from them into the mapping. /// Unused if graph is undirected -- it's identical with out in that case. ins: Vec<usize>, pub out_size: usize, pub ins_size: usize, pub adjacency_matrix: G::AdjMatrix, generation: usize, } impl<'a, G> Vf2State<'a, G> where G: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, { pub fn new(g: &'a G) -> Self { let c0 = g.node_count(); Vf2State { graph: g, mapping: vec![std::usize::MAX; c0], out: vec![0; c0], ins: vec![0; c0 * (g.is_directed() as usize)], out_size: 0, ins_size: 0, adjacency_matrix: g.adjacency_matrix(), generation: 0, } } /// Return **true** if we have a complete mapping pub fn is_complete(&self) -> bool { self.generation == self.mapping.len() } /// Add mapping **from** <-> **to** to the state. pub fn push_mapping(&mut self, from: G::NodeId, to: usize) { self.generation += 1; self.mapping[self.graph.to_index(from)] = to; // update T0 & T1 ins/outs // T0out: Node in G0 not in M0 but successor of a node in M0. // st.out[0]: Node either in M0 or successor of M0 for ix in self.graph.neighbors_directed(from, Outgoing) { if self.out[self.graph.to_index(ix)] == 0 { self.out[self.graph.to_index(ix)] = self.generation; self.out_size += 1; } } if self.graph.is_directed() { for ix in self.graph.neighbors_directed(from, Incoming) { if self.ins[self.graph.to_index(ix)] == 0 { self.ins[self.graph.to_index(ix)] = self.generation; self.ins_size += 1; } } } } /// Restore the state to before the last added mapping pub fn pop_mapping(&mut self, from: G::NodeId) { // undo (n, m) mapping self.mapping[self.graph.to_index(from)] = std::usize::MAX; // unmark in ins and outs for ix in self.graph.neighbors_directed(from, Outgoing) { if self.out[self.graph.to_index(ix)] == self.generation { self.out[self.graph.to_index(ix)] = 0; self.out_size -= 1; } } if self.graph.is_directed() { for ix in self.graph.neighbors_directed(from, Incoming) { if self.ins[self.graph.to_index(ix)] == self.generation { self.ins[self.graph.to_index(ix)] = 0; self.ins_size -= 1; } } } self.generation -= 1; } /// Find the next (least) node in the Tout set. pub fn next_out_index(&self, from_index: usize) -> Option<usize> { self.out[from_index..] .iter() .enumerate() .find(move |&(index, &elt)| { elt > 0 && self.mapping[from_index + index] == std::usize::MAX }) .map(|(index, _)| index) } /// Find the next (least) node in the Tin set. pub fn next_in_index(&self, from_index: usize) -> Option<usize> { if !self.graph.is_directed() { return None; } self.ins[from_index..] .iter() .enumerate() .find(move |&(index, &elt)| { elt > 0 && self.mapping[from_index + index] == std::usize::MAX }) .map(|(index, _)| index) } /// Find the next (least) node in the N - M set. pub fn next_rest_index(&self, from_index: usize) -> Option<usize> { self.mapping[from_index..] .iter() .enumerate() .find(|&(_, &elt)| elt == std::usize::MAX) .map(|(index, _)| index) } } } mod semantic { use super::*; pub struct NoSemanticMatch; pub trait NodeMatcher<G0: GraphBase, G1: GraphBase> { fn enabled() -> bool; fn eq(&mut self, _g0: &G0, _g1: &G1, _n0: G0::NodeId, _n1: G1::NodeId) -> bool; } impl<G0: GraphBase, G1: GraphBase> NodeMatcher<G0, G1> for NoSemanticMatch { #[inline] fn enabled() -> bool { false } #[inline] fn eq(&mut self, _g0: &G0, _g1: &G1, _n0: G0::NodeId, _n1: G1::NodeId) -> bool { true } } impl<G0, G1, F> NodeMatcher<G0, G1> for F where G0: GraphBase + DataMap, G1: GraphBase + DataMap, F: FnMut(&G0::NodeWeight, &G1::NodeWeight) -> bool, { #[inline] fn enabled() -> bool { true } #[inline] fn eq(&mut self, g0: &G0, g1: &G1, n0: G0::NodeId, n1: G1::NodeId) -> bool { if let (Some(x), Some(y)) = (g0.node_weight(n0), g1.node_weight(n1)) { self(x, y) } else { false } } } pub trait EdgeMatcher<G0: GraphBase, G1: GraphBase> { fn enabled() -> bool; fn eq( &mut self, _g0: &G0, _g1: &G1, e0: (G0::NodeId, G0::NodeId), e1: (G1::NodeId, G1::NodeId), ) -> bool; } impl<G0: GraphBase, G1: GraphBase> EdgeMatcher<G0, G1> for NoSemanticMatch { #[inline] fn enabled() -> bool { false } #[inline] fn eq( &mut self, _g0: &G0, _g1: &G1, _e0: (G0::NodeId, G0::NodeId), _e1: (G1::NodeId, G1::NodeId), ) -> bool { true } } impl<G0, G1, F> EdgeMatcher<G0, G1> for F where G0: GraphBase + DataMap + IntoEdgesDirected, G1: GraphBase + DataMap + IntoEdgesDirected, F: FnMut(&G0::EdgeWeight, &G1::EdgeWeight) -> bool, { #[inline] fn enabled() -> bool { true } #[inline] fn eq( &mut self, g0: &G0, g1: &G1, e0: (G0::NodeId, G0::NodeId), e1: (G1::NodeId, G1::NodeId), ) -> bool { let w0 = g0 .edges_directed(e0.0, Outgoing) .find(|edge| edge.target() == e0.1) .and_then(|edge| g0.edge_weight(edge.id())); let w1 = g1 .edges_directed(e1.0, Outgoing) .find(|edge| edge.target() == e1.1) .and_then(|edge| g1.edge_weight(edge.id())); if let (Some(x), Some(y)) = (w0, w1) { self(x, y) } else { false } } } } mod matching { use super::*; #[derive(Copy, Clone, PartialEq, Debug)] enum OpenList { Out, In, Other, } #[derive(Clone, PartialEq, Debug)] enum Frame<G0, G1> where G0: GraphBase, G1: GraphBase, { Outer, Inner { nodes: (G0::NodeId, G1::NodeId), open_list: OpenList, }, Unwind { nodes: (G0::NodeId, G1::NodeId), open_list: OpenList, }, } fn is_feasible<G0, G1, NM, EM>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), nodes: (G0::NodeId, G1::NodeId), node_match: &mut NM, edge_match: &mut EM, ) -> bool where G0: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, G1: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, NM: NodeMatcher<G0, G1>, EM: EdgeMatcher<G0, G1>, { macro_rules! field { ($x:ident, 0) => { $x.0 }; ($x:ident, 1) => { $x.1 }; ($x:ident, 1 - 0) => { $x.1 }; ($x:ident, 1 - 1) => { $x.0 }; } macro_rules! r_succ { ($j:tt) => {{ let mut succ_count = 0; for n_neigh in field!(st, $j) .graph .neighbors_directed(field!(nodes, $j), Outgoing) { succ_count += 1; // handle the self loop case; it's not in the mapping (yet) let m_neigh = if field!(nodes, $j) != n_neigh { field!(st, $j).mapping[field!(st, $j).graph.to_index(n_neigh)] } else { field!(st, 1 - $j).graph.to_index(field!(nodes, 1 - $j)) }; if m_neigh == std::usize::MAX { continue; } let has_edge = field!(st, 1 - $j).graph.is_adjacent( &field!(st, 1 - $j).adjacency_matrix, field!(nodes, 1 - $j), field!(st, 1 - $j).graph.from_index(m_neigh), ); if !has_edge { return false; } } succ_count }}; } macro_rules! r_pred { ($j:tt) => {{ let mut pred_count = 0; for n_neigh in field!(st, $j) .graph .neighbors_directed(field!(nodes, $j), Incoming) { pred_count += 1; // the self loop case is handled in outgoing let m_neigh = field!(st, $j).mapping[field!(st, $j).graph.to_index(n_neigh)]; if m_neigh == std::usize::MAX { continue; } let has_edge = field!(st, 1 - $j).graph.is_adjacent( &field!(st, 1 - $j).adjacency_matrix, field!(st, 1 - $j).graph.from_index(m_neigh), field!(nodes, 1 - $j), ); if !has_edge { return false; } } pred_count }}; } // Check syntactic feasibility of mapping by ensuring adjacencies // of nx map to adjacencies of mx. // // nx == map to => mx // // R_succ // // Check that every neighbor of nx is mapped to a neighbor of mx, // then check the reverse, from mx to nx. Check that they have the same // count of edges. // // Note: We want to check the lookahead measures here if we can, // R_out: Equal for G0, G1: Card(Succ(G, n) ^ Tout); for both Succ and Pred // R_in: Same with Tin // R_new: Equal for G0, G1: Ñ n Pred(G, n); both Succ and Pred, // Ñ is G0 - M - Tin - Tout // last attempt to add these did not speed up any of the testcases if r_succ!(0) > r_succ!(1) { return false; } // R_pred if st.0.graph.is_directed() && r_pred!(0) > r_pred!(1) { return false; } // // semantic feasibility: compare associated data for nodes if NM::enabled() && !node_match.eq(st.0.graph, st.1.graph, nodes.0, nodes.1) { return false; } // semantic feasibility: compare associated data for edges if EM::enabled() { macro_rules! edge_feasibility { ($j:tt) => {{ for n_neigh in field!(st, $j) .graph .neighbors_directed(field!(nodes, $j), Outgoing) { let m_neigh = if field!(nodes, $j) != n_neigh { field!(st, $j).mapping[field!(st, $j).graph.to_index(n_neigh)] } else { field!(st, 1 - $j).graph.to_index(field!(nodes, 1 - $j)) }; if m_neigh == std::usize::MAX { continue; } let e0 = (field!(nodes, $j), n_neigh); let e1 = ( field!(nodes, 1 - $j), field!(st, 1 - $j).graph.from_index(m_neigh), ); let edges = (e0, e1); if !edge_match.eq( st.0.graph, st.1.graph, field!(edges, $j), field!(edges, 1 - $j), ) { return false; } } if field!(st, $j).graph.is_directed() { for n_neigh in field!(st, $j) .graph .neighbors_directed(field!(nodes, $j), Incoming) { // the self loop case is handled in outgoing let m_neigh = field!(st, $j).mapping[field!(st, $j).graph.to_index(n_neigh)]; if m_neigh == std::usize::MAX { continue; } let e0 = (n_neigh, field!(nodes, $j)); let e1 = ( field!(st, 1 - $j).graph.from_index(m_neigh), field!(nodes, 1 - $j), ); let edges = (e0, e1); if !edge_match.eq( st.0.graph, st.1.graph, field!(edges, $j), field!(edges, 1 - $j), ) { return false; } } } }}; } edge_feasibility!(0); edge_feasibility!(1); } true } fn next_candidate<G0, G1>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), ) -> Option<(G0::NodeId, G1::NodeId, OpenList)> where G0: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, G1: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, { let mut from_index = None; let mut open_list = OpenList::Out; let mut to_index = st.1.next_out_index(0); // Try the out list if to_index.is_some() { from_index = st.0.next_out_index(0); open_list = OpenList::Out; } // Try the in list if to_index.is_none() || from_index.is_none() { to_index = st.1.next_in_index(0); if to_index.is_some() { from_index = st.0.next_in_index(0); open_list = OpenList::In; } } // Try the other list -- disconnected graph if to_index.is_none() || from_index.is_none() { to_index = st.1.next_rest_index(0); if to_index.is_some() { from_index = st.0.next_rest_index(0); open_list = OpenList::Other; } } match (from_index, to_index) { (Some(n), Some(m)) => Some(( st.0.graph.from_index(n), st.1.graph.from_index(m), open_list, )), // No more candidates _ => None, } } fn next_from_ix<G0, G1>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), nx: G1::NodeId, open_list: OpenList, ) -> Option<G1::NodeId> where G0: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, G1: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, { // Find the next node index to try on the `to` side of the mapping let start = st.1.graph.to_index(nx) + 1; let cand1 = match open_list { OpenList::Out => st.1.next_out_index(start), OpenList::In => st.1.next_in_index(start), OpenList::Other => st.1.next_rest_index(start), } .map(|c| c + start); // compensate for start offset. match cand1 { None => None, // no more candidates Some(ix) => { debug_assert!(ix >= start); Some(st.1.graph.from_index(ix)) } } } fn pop_state<G0, G1>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), nodes: (G0::NodeId, G1::NodeId), ) where G0: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, G1: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, { st.0.pop_mapping(nodes.0); st.1.pop_mapping(nodes.1); } fn push_state<G0, G1>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), nodes: (G0::NodeId, G1::NodeId), ) where G0: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, G1: GetAdjacencyMatrix + GraphProp + NodeCompactIndexable + IntoNeighborsDirected, { st.0.push_mapping(nodes.0, st.1.graph.to_index(nodes.1)); st.1.push_mapping(nodes.1, st.0.graph.to_index(nodes.0)); } /// Return Some(bool) if isomorphism is decided, else None. pub fn try_match<G0, G1, NM, EM>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), node_match: &mut NM, edge_match: &mut EM, match_subgraph: bool, ) -> Option<bool> where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, NM: NodeMatcher<G0, G1>, EM: EdgeMatcher<G0, G1>, { let mut stack = vec![Frame::Outer]; if isomorphisms(st, node_match, edge_match, match_subgraph, &mut stack).is_some() { Some(true) } else { None } } fn isomorphisms<G0, G1, NM, EM>( st: &mut (Vf2State<'_, G0>, Vf2State<'_, G1>), node_match: &mut NM, edge_match: &mut EM, match_subgraph: bool, stack: &mut Vec<Frame<G0, G1>>, ) -> Option<Vec<usize>> where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, NM: NodeMatcher<G0, G1>, EM: EdgeMatcher<G0, G1>, { if st.0.is_complete() { return Some(st.0.mapping.clone()); } // A "depth first" search of a valid mapping from graph 1 to graph 2 // F(s, n, m) -- evaluate state s and add mapping n <-> m // Find least T1out node (in st.out[1] but not in M[1]) let mut result = None; while let Some(frame) = stack.pop() { match frame { Frame::Unwind { nodes, open_list } => { pop_state(st, nodes); match next_from_ix(st, nodes.1, open_list) { None => continue, Some(nx) => { let f = Frame::Inner { nodes: (nodes.0, nx), open_list, }; stack.push(f); } } } Frame::Outer => match next_candidate(st) { None => continue, Some((nx, mx, open_list)) => { let f = Frame::Inner { nodes: (nx, mx), open_list, }; stack.push(f); } }, Frame::Inner { nodes, open_list } => { if is_feasible(st, nodes, node_match, edge_match) { push_state(st, nodes); if st.0.is_complete() { result = Some(st.0.mapping.clone()); } // Check cardinalities of Tin, Tout sets if (!match_subgraph && st.0.out_size == st.1.out_size && st.0.ins_size == st.1.ins_size) || (match_subgraph && st.0.out_size <= st.1.out_size && st.0.ins_size <= st.1.ins_size) { let f0 = Frame::Unwind { nodes, open_list }; stack.push(f0); stack.push(Frame::Outer); continue; } pop_state(st, nodes); } match next_from_ix(st, nodes.1, open_list) { None => continue, Some(nx) => { let f = Frame::Inner { nodes: (nodes.0, nx), open_list, }; stack.push(f); } } } } if result.is_some() { return result; } } result } pub struct GraphMatcher<'a, 'b, 'c, G0, G1, NM, EM> where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, NM: NodeMatcher<G0, G1>, EM: EdgeMatcher<G0, G1>, { st: (Vf2State<'a, G0>, Vf2State<'b, G1>), node_match: &'c mut NM, edge_match: &'c mut EM, match_subgraph: bool, stack: Vec<Frame<G0, G1>>, } impl<'a, 'b, 'c, G0, G1, NM, EM> GraphMatcher<'a, 'b, 'c, G0, G1, NM, EM> where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, NM: NodeMatcher<G0, G1>, EM: EdgeMatcher<G0, G1>, { pub fn new( g0: &'a G0, g1: &'b G1, node_match: &'c mut NM, edge_match: &'c mut EM, match_subgraph: bool, ) -> Self { let stack = vec![Frame::Outer]; Self { st: (Vf2State::new(g0), Vf2State::new(g1)), node_match, edge_match, match_subgraph, stack, } } } impl<'a, 'b, 'c, G0, G1, NM, EM> Iterator for GraphMatcher<'a, 'b, 'c, G0, G1, NM, EM> where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, NM: NodeMatcher<G0, G1>, EM: EdgeMatcher<G0, G1>, { type Item = Vec<usize>; fn next(&mut self) -> Option<Self::Item> { isomorphisms( &mut self.st, self.node_match, self.edge_match, self.match_subgraph, &mut self.stack, ) } fn size_hint(&self) -> (usize, Option<usize>) { // To calculate the upper bound of results we use n! where n is the // number of nodes in graph 1. n! values fit into a 64-bit usize up // to n = 20, so we don't estimate an upper limit for n > 20. let n = self.st.0.graph.node_count(); // We hardcode n! values into an array that accounts for architectures // with smaller usizes to get our upper bound. let upper_bounds: Vec<Option<usize>> = vec![ 1u64, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 2432902008176640000, ] .iter() .map(|n| usize::try_from(*n).ok()) .collect(); if n > upper_bounds.len() { return (0, None); } (0, upper_bounds[n]) } } } /// \[Generic\] Return `true` if the graphs `g0` and `g1` are isomorphic. /// /// Using the VF2 algorithm, only matching graph syntactically (graph /// structure). /// /// The graphs should not be multigraphs. /// /// **Reference** /// /// * Luigi P. Cordella, Pasquale Foggia, Carlo Sansone, Mario Vento; /// *A (Sub)Graph Isomorphism Algorithm for Matching Large Graphs* pub fn is_isomorphic<G0, G1>(g0: G0, g1: G1) -> bool where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp<EdgeType = G0::EdgeType> + IntoNeighborsDirected, { if g0.node_count() != g1.node_count() || g0.edge_count() != g1.edge_count() { return false; } let mut st = (Vf2State::new(&g0), Vf2State::new(&g1)); self::matching::try_match(&mut st, &mut NoSemanticMatch, &mut NoSemanticMatch, false) .unwrap_or(false) } /// \[Generic\] Return `true` if the graphs `g0` and `g1` are isomorphic. /// /// Using the VF2 algorithm, examining both syntactic and semantic /// graph isomorphism (graph structure and matching node and edge weights). /// /// The graphs should not be multigraphs. pub fn is_isomorphic_matching<G0, G1, NM, EM>( g0: G0, g1: G1, mut node_match: NM, mut edge_match: EM, ) -> bool where G0: NodeCompactIndexable + EdgeCount + DataMap + GetAdjacencyMatrix + GraphProp + IntoEdgesDirected, G1: NodeCompactIndexable + EdgeCount + DataMap + GetAdjacencyMatrix + GraphProp<EdgeType = G0::EdgeType> + IntoEdgesDirected, NM: FnMut(&G0::NodeWeight, &G1::NodeWeight) -> bool, EM: FnMut(&G0::EdgeWeight, &G1::EdgeWeight) -> bool, { if g0.node_count() != g1.node_count() || g0.edge_count() != g1.edge_count() { return false; } let mut st = (Vf2State::new(&g0), Vf2State::new(&g1)); self::matching::try_match(&mut st, &mut node_match, &mut edge_match, false).unwrap_or(false) } /// \[Generic\] Return `true` if `g0` is isomorphic to a subgraph of `g1`. /// /// Using the VF2 algorithm, only matching graph syntactically (graph /// structure). /// /// The graphs should not be multigraphs. /// /// # Subgraph isomorphism /// /// (adapted from [`networkx` documentation](https://networkx.github.io/documentation/stable/reference/algorithms/isomorphism.vf2.html)) /// /// Graph theory literature can be ambiguous about the meaning of the above statement, /// and we seek to clarify it now. /// /// In the VF2 literature, a mapping **M** is said to be a *graph-subgraph isomorphism* /// iff **M** is an isomorphism between **G2** and a subgraph of **G1**. Thus, to say /// that **G1** and **G2** are graph-subgraph isomorphic is to say that a subgraph of /// **G1** is isomorphic to **G2**. /// /// Other literature uses the phrase ‘subgraph isomorphic’ as in /// ‘**G1** does not have a subgraph isomorphic to **G2**’. Another use is as an in adverb /// for isomorphic. Thus, to say that **G1** and **G2** are subgraph isomorphic is to say /// that a subgraph of **G1** is isomorphic to **G2**. /// /// Finally, the term ‘subgraph’ can have multiple meanings. In this context, /// ‘subgraph’ always means a ‘node-induced subgraph’. Edge-induced subgraph /// isomorphisms are not directly supported. For subgraphs which are not /// induced, the term ‘monomorphism’ is preferred over ‘isomorphism’. /// /// **Reference** /// /// * Luigi P. Cordella, Pasquale Foggia, Carlo Sansone, Mario Vento; /// *A (Sub)Graph Isomorphism Algorithm for Matching Large Graphs* pub fn is_isomorphic_subgraph<G0, G1>(g0: G0, g1: G1) -> bool where G0: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp + IntoNeighborsDirected, G1: NodeCompactIndexable + EdgeCount + GetAdjacencyMatrix + GraphProp<EdgeType = G0::EdgeType> + IntoNeighborsDirected, { if g0.node_count() > g1.node_count() || g0.edge_count() > g1.edge_count() { return false; } let mut st = (Vf2State::new(&g0), Vf2State::new(&g1)); self::matching::try_match(&mut st, &mut NoSemanticMatch, &mut NoSemanticMatch, true) .unwrap_or(false) } /// \[Generic\] Return `true` if `g0` is isomorphic to a subgraph of `g1`. /// /// Using the VF2 algorithm, examining both syntactic and semantic /// graph isomorphism (graph structure and matching node and edge weights). /// /// The graphs should not be multigraphs. pub fn is_isomorphic_subgraph_matching<G0, G1, NM, EM>( g0: G0, g1: G1, mut node_match: NM, mut edge_match: EM, ) -> bool where G0: NodeCompactIndexable + EdgeCount + DataMap + GetAdjacencyMatrix + GraphProp + IntoEdgesDirected, G1: NodeCompactIndexable + EdgeCount + DataMap + GetAdjacencyMatrix + GraphProp<EdgeType = G0::EdgeType> + IntoEdgesDirected, NM: FnMut(&G0::NodeWeight, &G1::NodeWeight) -> bool, EM: FnMut(&G0::EdgeWeight, &G1::EdgeWeight) -> bool, { if g0.node_count() > g1.node_count() || g0.edge_count() > g1.edge_count() { return false; } let mut st = (Vf2State::new(&g0), Vf2State::new(&g1)); self::matching::try_match(&mut st, &mut node_match, &mut edge_match, true).unwrap_or(false) } /// Using the VF2 algorithm, examine both syntactic and semantic graph /// isomorphism (graph structure and matching node and edge weights) and, /// if `g0` is isomorphic to a subgraph of `g1`, return the mappings between /// them. /// /// The graphs should not be multigraphs. pub fn subgraph_isomorphisms_iter<'a, G0, G1, NM, EM>( g0: &'a G0, g1: &'a G1, node_match: &'a mut NM, edge_match: &'a mut EM, ) -> Option<impl Iterator<Item = Vec<usize>> + 'a> where G0: 'a + NodeCompactIndexable + EdgeCount + DataMap + GetAdjacencyMatrix + GraphProp + IntoEdgesDirected, G1: 'a + NodeCompactIndexable + EdgeCount + DataMap + GetAdjacencyMatrix + GraphProp<EdgeType = G0::EdgeType> + IntoEdgesDirected, NM: 'a + FnMut(&G0::NodeWeight, &G1::NodeWeight) -> bool, EM: 'a + FnMut(&G0::EdgeWeight, &G1::EdgeWeight) -> bool, { if g0.node_count() > g1.node_count() || g0.edge_count() > g1.edge_count() { return None; } Some(self::matching::GraphMatcher::new( g0, g1, node_match, edge_match, true, )) } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/k_shortest_path.rs����������������������������������������������������������0000644�0000000�0000000�00000006254�10461020230�0016734�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::collections::{BinaryHeap, HashMap}; use std::hash::Hash; use crate::algo::Measure; use crate::scored::MinScored; use crate::visit::{EdgeRef, IntoEdges, NodeCount, NodeIndexable, Visitable}; /// \[Generic\] k'th shortest path algorithm. /// /// Compute the length of the k'th shortest path from `start` to every reachable /// node. /// /// The graph should be `Visitable` and implement `IntoEdges`. The function /// `edge_cost` should return the cost for a particular edge, which is used /// to compute path costs. Edge costs must be non-negative. /// /// If `goal` is not `None`, then the algorithm terminates once the `goal` node's /// cost is calculated. /// /// Computes in **O(k * (|E| + |V|*log(|V|)))** time (average). /// /// Returns a `HashMap` that maps `NodeId` to path cost. /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::algo::k_shortest_path; /// use petgraph::prelude::*; /// use std::collections::HashMap; /// /// let mut graph : Graph<(),(),Directed>= Graph::new(); /// let a = graph.add_node(()); // node with no weight /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// let e = graph.add_node(()); /// let f = graph.add_node(()); /// let g = graph.add_node(()); /// let h = graph.add_node(()); /// // z will be in another connected component /// let z = graph.add_node(()); /// /// graph.extend_with_edges(&[ /// (a, b), /// (b, c), /// (c, d), /// (d, a), /// (e, f), /// (b, e), /// (f, g), /// (g, h), /// (h, e) /// ]); /// // a ----> b ----> e ----> f /// // ^ | ^ | /// // | v | v /// // d <---- c h <---- g /// /// let expected_res: HashMap<NodeIndex, usize> = [ /// (a, 7), /// (b, 4), /// (c, 5), /// (d, 6), /// (e, 5), /// (f, 6), /// (g, 7), /// (h, 8) /// ].iter().cloned().collect(); /// let res = k_shortest_path(&graph,b,None,2, |_| 1); /// assert_eq!(res, expected_res); /// // z is not inside res because there is not path from b to z. /// ``` pub fn k_shortest_path<G, F, K>( graph: G, start: G::NodeId, goal: Option<G::NodeId>, k: usize, mut edge_cost: F, ) -> HashMap<G::NodeId, K> where G: IntoEdges + Visitable + NodeCount + NodeIndexable, G::NodeId: Eq + Hash, F: FnMut(G::EdgeRef) -> K, K: Measure + Copy, { let mut counter: Vec<usize> = vec![0; graph.node_count()]; let mut scores = HashMap::new(); let mut visit_next = BinaryHeap::new(); let zero_score = K::default(); visit_next.push(MinScored(zero_score, start)); while let Some(MinScored(node_score, node)) = visit_next.pop() { counter[graph.to_index(node)] += 1; let current_counter = counter[graph.to_index(node)]; if current_counter > k { continue; } if current_counter == k { scores.insert(node, node_score); } //Already reached goal k times if goal.as_ref() == Some(&node) && current_counter == k { break; } for edge in graph.edges(node) { visit_next.push(MinScored(node_score + edge_cost(edge), edge.target())); } } scores } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/matching.rs�����������������������������������������������������������������0000644�0000000�0000000�00000046365�10461020230�0015334�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::collections::VecDeque; use std::hash::Hash; use crate::visit::{ EdgeRef, GraphBase, IntoEdges, IntoNeighbors, IntoNodeIdentifiers, NodeCount, NodeIndexable, VisitMap, Visitable, }; /// Computed /// [*matching*](https://en.wikipedia.org/wiki/Matching_(graph_theory)#Definitions) /// of the graph. pub struct Matching<G: GraphBase> { graph: G, mate: Vec<Option<G::NodeId>>, n_edges: usize, } impl<G> Matching<G> where G: GraphBase, { fn new(graph: G, mate: Vec<Option<G::NodeId>>, n_edges: usize) -> Self { Self { graph, mate, n_edges, } } } impl<G> Matching<G> where G: NodeIndexable, { /// Gets the matched counterpart of given node, if there is any. /// /// Returns `None` if the node is not matched or does not exist. pub fn mate(&self, node: G::NodeId) -> Option<G::NodeId> { self.mate.get(self.graph.to_index(node)).and_then(|&id| id) } /// Iterates over all edges from the matching. /// /// An edge is represented by its endpoints. The graph is considered /// undirected and every pair of matched nodes is reported only once. pub fn edges(&self) -> MatchedEdges<'_, G> { MatchedEdges { graph: &self.graph, mate: self.mate.as_slice(), current: 0, } } /// Iterates over all nodes from the matching. pub fn nodes(&self) -> MatchedNodes<'_, G> { MatchedNodes { graph: &self.graph, mate: self.mate.as_slice(), current: 0, } } /// Returns `true` if given edge is in the matching, or `false` otherwise. /// /// If any of the nodes does not exist, `false` is returned. pub fn contains_edge(&self, a: G::NodeId, b: G::NodeId) -> bool { match self.mate(a) { Some(mate) => mate == b, None => false, } } /// Returns `true` if given node is in the matching, or `false` otherwise. /// /// If the node does not exist, `false` is returned. pub fn contains_node(&self, node: G::NodeId) -> bool { self.mate(node).is_some() } /// Gets the number of matched **edges**. pub fn len(&self) -> usize { self.n_edges } /// Returns `true` if the number of matched **edges** is 0. pub fn is_empty(&self) -> bool { self.len() == 0 } } impl<G> Matching<G> where G: NodeCount, { /// Returns `true` if the matching is perfect. /// /// A matching is /// [*perfect*](https://en.wikipedia.org/wiki/Matching_(graph_theory)#Definitions) /// if every node in the graph is incident to an edge from the matching. pub fn is_perfect(&self) -> bool { let n_nodes = self.graph.node_count(); n_nodes % 2 == 0 && self.n_edges == n_nodes / 2 } } trait WithDummy: NodeIndexable { fn dummy_idx(&self) -> usize; fn node_bound_with_dummy(&self) -> usize; /// Convert `i` to a node index, returns None for the dummy node fn try_from_index(&self, i: usize) -> Option<Self::NodeId>; } impl<G: NodeIndexable> WithDummy for G { fn dummy_idx(&self) -> usize { // Gabow numbers the vertices from 1 to n, and uses 0 as the dummy // vertex. Our vertex indices are zero-based and so we use the node // bound as the dummy node. self.node_bound() } fn node_bound_with_dummy(&self) -> usize { self.node_bound() + 1 } fn try_from_index(&self, i: usize) -> Option<Self::NodeId> { if i != self.dummy_idx() { Some(self.from_index(i)) } else { None } } } pub struct MatchedNodes<'a, G: GraphBase> { graph: &'a G, mate: &'a [Option<G::NodeId>], current: usize, } impl<G> Iterator for MatchedNodes<'_, G> where G: NodeIndexable, { type Item = G::NodeId; fn next(&mut self) -> Option<Self::Item> { while self.current != self.mate.len() { let current = self.current; self.current += 1; if self.mate[current].is_some() { return Some(self.graph.from_index(current)); } } None } } pub struct MatchedEdges<'a, G: GraphBase> { graph: &'a G, mate: &'a [Option<G::NodeId>], current: usize, } impl<G> Iterator for MatchedEdges<'_, G> where G: NodeIndexable, { type Item = (G::NodeId, G::NodeId); fn next(&mut self) -> Option<Self::Item> { while self.current != self.mate.len() { let current = self.current; self.current += 1; if let Some(mate) = self.mate[current] { // Check if the mate is a node after the current one. If not, then // do not report that edge since it has been already reported (the // graph is considered undirected). if self.graph.to_index(mate) > current { let this = self.graph.from_index(current); return Some((this, mate)); } } } None } } /// \[Generic\] Compute a /// [*matching*](https://en.wikipedia.org/wiki/Matching_(graph_theory)) using a /// greedy heuristic. /// /// The input graph is treated as if undirected. The underlying heuristic is /// unspecified, but is guaranteed to be bounded by *O(|V| + |E|)*. No /// guarantees about the output are given other than that it is a valid /// matching. /// /// If you require a maximum matching, use [`maximum_matching`][1] function /// instead. /// /// [1]: fn.maximum_matching.html pub fn greedy_matching<G>(graph: G) -> Matching<G> where G: Visitable + IntoNodeIdentifiers + NodeIndexable + IntoNeighbors, G::NodeId: Eq + Hash, G::EdgeId: Eq + Hash, { let (mates, n_edges) = greedy_matching_inner(&graph); Matching::new(graph, mates, n_edges) } #[inline] fn greedy_matching_inner<G>(graph: &G) -> (Vec<Option<G::NodeId>>, usize) where G: Visitable + IntoNodeIdentifiers + NodeIndexable + IntoNeighbors, { let mut mate = vec![None; graph.node_bound()]; let mut n_edges = 0; let visited = &mut graph.visit_map(); for start in graph.node_identifiers() { let mut last = Some(start); // Function non_backtracking_dfs does not expand the node if it has been // already visited. non_backtracking_dfs(graph, start, visited, |next| { // Alternate matched and unmatched edges. if let Some(pred) = last.take() { mate[graph.to_index(pred)] = Some(next); mate[graph.to_index(next)] = Some(pred); n_edges += 1; } else { last = Some(next); } }); } (mate, n_edges) } fn non_backtracking_dfs<G, F>(graph: &G, source: G::NodeId, visited: &mut G::Map, mut visitor: F) where G: Visitable + IntoNeighbors, F: FnMut(G::NodeId), { if visited.visit(source) { for target in graph.neighbors(source) { if !visited.is_visited(&target) { visitor(target); non_backtracking_dfs(graph, target, visited, visitor); // Non-backtracking traversal, stop iterating over the // neighbors. break; } } } } #[derive(Clone, Copy)] enum Label<G: GraphBase> { None, Start, // If node v is outer node, then label(v) = w is another outer node on path // from v to start u. Vertex(G::NodeId), // If node v is outer node, then label(v) = (r, s) are two outer vertices // (connected by an edge) Edge(G::EdgeId, [G::NodeId; 2]), // Flag is a special label used in searching for the join vertex of two // paths. Flag(G::EdgeId), } impl<G: GraphBase> Label<G> { fn is_outer(&self) -> bool { self != &Label::None && !match self { Label::Flag(_) => true, _ => false, } } fn is_inner(&self) -> bool { !self.is_outer() } fn to_vertex(&self) -> Option<G::NodeId> { match *self { Label::Vertex(v) => Some(v), _ => None, } } fn is_flagged(&self, edge: G::EdgeId) -> bool { match self { Label::Flag(flag) if flag == &edge => true, _ => false, } } } impl<G: GraphBase> Default for Label<G> { fn default() -> Self { Label::None } } impl<G: GraphBase> PartialEq for Label<G> { fn eq(&self, other: &Self) -> bool { match (self, other) { (Label::None, Label::None) => true, (Label::Start, Label::Start) => true, (Label::Vertex(v1), Label::Vertex(v2)) => v1 == v2, (Label::Edge(e1, _), Label::Edge(e2, _)) => e1 == e2, (Label::Flag(e1), Label::Flag(e2)) => e1 == e2, _ => false, } } } /// \[Generic\] Compute the [*maximum /// matching*](https://en.wikipedia.org/wiki/Matching_(graph_theory)) using /// [Gabow's algorithm][1]. /// /// [1]: https://dl.acm.org/doi/10.1145/321941.321942 /// /// The input graph is treated as if undirected. The algorithm runs in /// *O(|V|³)*. An algorithm with a better time complexity might be used in the /// future. /// /// **Panics** if `g.node_bound()` is `std::usize::MAX`. /// /// # Examples /// /// ``` /// use petgraph::prelude::*; /// use petgraph::algo::maximum_matching; /// /// // The example graph: /// // /// // +-- b ---- d ---- f /// // / | | /// // a | | /// // \ | | /// // +-- c ---- e /// // /// // Maximum matching: { (a, b), (c, e), (d, f) } /// /// let mut graph: UnGraph<(), ()> = UnGraph::new_undirected(); /// let a = graph.add_node(()); /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// let e = graph.add_node(()); /// let f = graph.add_node(()); /// graph.extend_with_edges(&[(a, b), (a, c), (b, c), (b, d), (c, e), (d, e), (d, f)]); /// /// let matching = maximum_matching(&graph); /// assert!(matching.contains_edge(a, b)); /// assert!(matching.contains_edge(c, e)); /// assert_eq!(matching.mate(d), Some(f)); /// assert_eq!(matching.mate(f), Some(d)); /// ``` pub fn maximum_matching<G>(graph: G) -> Matching<G> where G: Visitable + NodeIndexable + IntoNodeIdentifiers + IntoEdges, { // The dummy identifier needs an unused index assert_ne!( graph.node_bound(), std::usize::MAX, "The input graph capacity should be strictly less than std::usize::MAX." ); // Greedy algorithm should create a fairly good initial matching. The hope // is that it speeds up the computation by doing les work in the complex // algorithm. let (mut mate, mut n_edges) = greedy_matching_inner(&graph); // Gabow's algorithm uses a dummy node in the mate array. mate.push(None); let len = graph.node_bound() + 1; debug_assert_eq!(mate.len(), len); let mut label: Vec<Label<G>> = vec![Label::None; len]; let mut first_inner = vec![std::usize::MAX; len]; let visited = &mut graph.visit_map(); for start in 0..graph.node_bound() { if mate[start].is_some() { // The vertex is already matched. A start must be a free vertex. continue; } // Begin search from the node. label[start] = Label::Start; first_inner[start] = graph.dummy_idx(); graph.reset_map(visited); // start is never a dummy index let start = graph.from_index(start); // Queue will contain outer vertices that should be processed next. The // start vertex is considered an outer vertex. let mut queue = VecDeque::new(); queue.push_back(start); // Mark the start vertex so it is not processed repeatedly. visited.visit(start); 'search: while let Some(outer_vertex) = queue.pop_front() { for edge in graph.edges(outer_vertex) { if edge.source() == edge.target() { // Ignore self-loops. continue; } let other_vertex = edge.target(); let other_idx = graph.to_index(other_vertex); if mate[other_idx].is_none() && other_vertex != start { // An augmenting path was found. Augment the matching. If // `other` is actually the start node, then the augmentation // must not be performed, because the start vertex would be // incident to two edges, which violates the matching // property. mate[other_idx] = Some(outer_vertex); augment_path(&graph, outer_vertex, other_vertex, &mut mate, &label); n_edges += 1; // The path is augmented, so the start is no longer free // vertex. We need to begin with a new start. break 'search; } else if label[other_idx].is_outer() { // The `other` is an outer vertex (a label has been set to // it). An odd cycle (blossom) was found. Assign this edge // as a label to all inner vertices in paths P(outer) and // P(other). find_join( &graph, edge, &mate, &mut label, &mut first_inner, |labeled| { if visited.visit(labeled) { queue.push_back(labeled); } }, ); } else { let mate_vertex = mate[other_idx]; let mate_idx = mate_vertex.map_or(graph.dummy_idx(), |id| graph.to_index(id)); if label[mate_idx].is_inner() { // Mate of `other` vertex is inner (no label has been // set to it so far). But it actually is an outer vertex // (it is on a path to the start vertex that begins with // a matched edge, since it is a mate of `other`). // Assign the label of this mate to the `outer` vertex, // so the path for it can be reconstructed using `mate` // and this label. label[mate_idx] = Label::Vertex(outer_vertex); first_inner[mate_idx] = other_idx; } // Add the vertex to the queue only if it's not the dummy and this is its first // discovery. if let Some(mate_vertex) = mate_vertex { if visited.visit(mate_vertex) { queue.push_back(mate_vertex); } } } } } // Reset the labels. All vertices are inner for the next search. for lbl in label.iter_mut() { *lbl = Label::None; } } // Discard the dummy node. mate.pop(); Matching::new(graph, mate, n_edges) } fn find_join<G, F>( graph: &G, edge: G::EdgeRef, mate: &[Option<G::NodeId>], label: &mut Vec<Label<G>>, first_inner: &mut Vec<usize>, mut visitor: F, ) where G: IntoEdges + NodeIndexable + Visitable, F: FnMut(G::NodeId), { // Simultaneously traverse the inner vertices on paths P(source) and // P(target) to find a join vertex - an inner vertex that is shared by these // paths. let source = graph.to_index(edge.source()); let target = graph.to_index(edge.target()); let mut left = first_inner[source]; let mut right = first_inner[target]; if left == right { // No vertices can be labeled, since both paths already refer to a // common vertex - the join. return; } // Flag the (first) inner vertices. This ensures that they are assigned the // join as their first inner vertex. let flag = Label::Flag(edge.id()); label[left] = flag; label[right] = flag; // Find the join. let join = loop { // Swap the sides. Do not swap if the right side is already finished. if right != graph.dummy_idx() { std::mem::swap(&mut left, &mut right); } // Set left to the next inner vertex in P(source) or P(target). // The unwraps are safe because left is not the dummy node. let left_mate = graph.to_index(mate[left].unwrap()); let next_inner = label[left_mate].to_vertex().unwrap(); left = first_inner[graph.to_index(next_inner)]; if !label[left].is_flagged(edge.id()) { // The inner vertex is not flagged yet, so flag it. label[left] = flag; } else { // The inner vertex is already flagged. It means that the other side // had to visit it already. Therefore it is the join vertex. break left; } }; // Label all inner vertices on P(source) and P(target) with the found join. for endpoint in [source, target].iter().copied() { let mut inner = first_inner[endpoint]; while inner != join { // Notify the caller about labeling a vertex. if let Some(ix) = graph.try_from_index(inner) { visitor(ix); } label[inner] = Label::Edge(edge.id(), [edge.source(), edge.target()]); first_inner[inner] = join; let inner_mate = graph.to_index(mate[inner].unwrap()); let next_inner = label[inner_mate].to_vertex().unwrap(); inner = first_inner[graph.to_index(next_inner)]; } } for (vertex_idx, vertex_label) in label.iter().enumerate() { // To all outer vertices that are on paths P(source) and P(target) until // the join, se the join as their first inner vertex. if vertex_idx != graph.dummy_idx() && vertex_label.is_outer() && label[first_inner[vertex_idx]].is_outer() { first_inner[vertex_idx] = join; } } } fn augment_path<G>( graph: &G, outer: G::NodeId, other: G::NodeId, mate: &mut [Option<G::NodeId>], label: &[Label<G>], ) where G: NodeIndexable, { let outer_idx = graph.to_index(outer); let temp = mate[outer_idx]; let temp_idx = temp.map_or(graph.dummy_idx(), |id| graph.to_index(id)); mate[outer_idx] = Some(other); if mate[temp_idx] != Some(outer) { // We are at the end of the path and so the entire path is completely // rematched/augmented. } else if let Label::Vertex(vertex) = label[outer_idx] { // The outer vertex has a vertex label which refers to another outer // vertex on the path. So we set this another outer node as the mate for // the previous mate of the outer node. mate[temp_idx] = Some(vertex); if let Some(temp) = temp { augment_path(graph, vertex, temp, mate, label); } } else if let Label::Edge(_, [source, target]) = label[outer_idx] { // The outer vertex has an edge label which refers to an edge in a // blossom. We need to augment both directions along the blossom. augment_path(graph, source, target, mate, label); augment_path(graph, target, source, mate, label); } else { panic!("Unexpected label when augmenting path"); } } ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/mod.rs����������������������������������������������������������������������0000644�0000000�0000000�00000066773�10461020230�0014326�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Graph algorithms. //! //! It is a goal to gradually migrate the algorithms to be based on graph traits //! so that they are generally applicable. For now, some of these still require //! the `Graph` type. pub mod astar; pub mod bellman_ford; pub mod dijkstra; pub mod dominators; pub mod feedback_arc_set; pub mod floyd_warshall; pub mod isomorphism; pub mod k_shortest_path; pub mod matching; pub mod simple_paths; pub mod tred; use std::collections::{BinaryHeap, HashMap}; use std::num::NonZeroUsize; use crate::prelude::*; use super::graph::IndexType; use super::unionfind::UnionFind; use super::visit::{ GraphBase, GraphRef, IntoEdgeReferences, IntoNeighbors, IntoNeighborsDirected, IntoNodeIdentifiers, NodeCompactIndexable, NodeIndexable, Reversed, VisitMap, Visitable, }; use super::EdgeType; use crate::data::Element; use crate::scored::MinScored; use crate::visit::Walker; use crate::visit::{Data, IntoNodeReferences, NodeRef}; pub use astar::astar; pub use bellman_ford::{bellman_ford, find_negative_cycle}; pub use dijkstra::dijkstra; pub use feedback_arc_set::greedy_feedback_arc_set; pub use floyd_warshall::floyd_warshall; pub use isomorphism::{ is_isomorphic, is_isomorphic_matching, is_isomorphic_subgraph, is_isomorphic_subgraph_matching, subgraph_isomorphisms_iter, }; pub use k_shortest_path::k_shortest_path; pub use matching::{greedy_matching, maximum_matching, Matching}; pub use simple_paths::all_simple_paths; /// \[Generic\] Return the number of connected components of the graph. /// /// For a directed graph, this is the *weakly* connected components. /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::algo::connected_components; /// use petgraph::prelude::*; /// /// let mut graph : Graph<(),(),Directed>= Graph::new(); /// let a = graph.add_node(()); // node with no weight /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// let e = graph.add_node(()); /// let f = graph.add_node(()); /// let g = graph.add_node(()); /// let h = graph.add_node(()); /// /// graph.extend_with_edges(&[ /// (a, b), /// (b, c), /// (c, d), /// (d, a), /// (e, f), /// (f, g), /// (g, h), /// (h, e) /// ]); /// // a ----> b e ----> f /// // ^ | ^ | /// // | v | v /// // d <---- c h <---- g /// /// assert_eq!(connected_components(&graph),2); /// graph.add_edge(b,e,()); /// assert_eq!(connected_components(&graph),1); /// ``` pub fn connected_components<G>(g: G) -> usize where G: NodeCompactIndexable + IntoEdgeReferences, { let mut vertex_sets = UnionFind::new(g.node_bound()); for edge in g.edge_references() { let (a, b) = (edge.source(), edge.target()); // union the two vertices of the edge vertex_sets.union(g.to_index(a), g.to_index(b)); } let mut labels = vertex_sets.into_labeling(); labels.sort_unstable(); labels.dedup(); labels.len() } /// \[Generic\] Return `true` if the input graph contains a cycle. /// /// Always treats the input graph as if undirected. pub fn is_cyclic_undirected<G>(g: G) -> bool where G: NodeIndexable + IntoEdgeReferences, { let mut edge_sets = UnionFind::new(g.node_bound()); for edge in g.edge_references() { let (a, b) = (edge.source(), edge.target()); // union the two vertices of the edge // -- if they were already the same, then we have a cycle if !edge_sets.union(g.to_index(a), g.to_index(b)) { return true; } } false } /// \[Generic\] Perform a topological sort of a directed graph. /// /// If the graph was acyclic, return a vector of nodes in topological order: /// each node is ordered before its successors. /// Otherwise, it will return a `Cycle` error. Self loops are also cycles. /// /// To handle graphs with cycles, use the scc algorithms or `DfsPostOrder` /// instead of this function. /// /// If `space` is not `None`, it is used instead of creating a new workspace for /// graph traversal. The implementation is iterative. pub fn toposort<G>( g: G, space: Option<&mut DfsSpace<G::NodeId, G::Map>>, ) -> Result<Vec<G::NodeId>, Cycle<G::NodeId>> where G: IntoNeighborsDirected + IntoNodeIdentifiers + Visitable, { // based on kosaraju scc with_dfs(g, space, |dfs| { dfs.reset(g); let mut finished = g.visit_map(); let mut finish_stack = Vec::new(); for i in g.node_identifiers() { if dfs.discovered.is_visited(&i) { continue; } dfs.stack.push(i); while let Some(&nx) = dfs.stack.last() { if dfs.discovered.visit(nx) { // First time visiting `nx`: Push neighbors, don't pop `nx` for succ in g.neighbors(nx) { if succ == nx { // self cycle return Err(Cycle(nx)); } if !dfs.discovered.is_visited(&succ) { dfs.stack.push(succ); } } } else { dfs.stack.pop(); if finished.visit(nx) { // Second time: All reachable nodes must have been finished finish_stack.push(nx); } } } } finish_stack.reverse(); dfs.reset(g); for &i in &finish_stack { dfs.move_to(i); let mut cycle = false; while let Some(j) = dfs.next(Reversed(g)) { if cycle { return Err(Cycle(j)); } cycle = true; } } Ok(finish_stack) }) } /// \[Generic\] Return `true` if the input directed graph contains a cycle. /// /// This implementation is recursive; use `toposort` if an alternative is /// needed. pub fn is_cyclic_directed<G>(g: G) -> bool where G: IntoNodeIdentifiers + IntoNeighbors + Visitable, { use crate::visit::{depth_first_search, DfsEvent}; depth_first_search(g, g.node_identifiers(), |event| match event { DfsEvent::BackEdge(_, _) => Err(()), _ => Ok(()), }) .is_err() } type DfsSpaceType<G> = DfsSpace<<G as GraphBase>::NodeId, <G as Visitable>::Map>; /// Workspace for a graph traversal. #[derive(Clone, Debug)] pub struct DfsSpace<N, VM> { dfs: Dfs<N, VM>, } impl<N, VM> DfsSpace<N, VM> where N: Copy + PartialEq, VM: VisitMap<N>, { pub fn new<G>(g: G) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { DfsSpace { dfs: Dfs::empty(g) } } } impl<N, VM> Default for DfsSpace<N, VM> where VM: VisitMap<N> + Default, { fn default() -> Self { DfsSpace { dfs: Dfs { stack: <_>::default(), discovered: <_>::default(), }, } } } /// Create a Dfs if it's needed fn with_dfs<G, F, R>(g: G, space: Option<&mut DfsSpaceType<G>>, f: F) -> R where G: GraphRef + Visitable, F: FnOnce(&mut Dfs<G::NodeId, G::Map>) -> R, { let mut local_visitor; let dfs = if let Some(v) = space { &mut v.dfs } else { local_visitor = Dfs::empty(g); &mut local_visitor }; f(dfs) } /// \[Generic\] Check if there exists a path starting at `from` and reaching `to`. /// /// If `from` and `to` are equal, this function returns true. /// /// If `space` is not `None`, it is used instead of creating a new workspace for /// graph traversal. pub fn has_path_connecting<G>( g: G, from: G::NodeId, to: G::NodeId, space: Option<&mut DfsSpace<G::NodeId, G::Map>>, ) -> bool where G: IntoNeighbors + Visitable, { with_dfs(g, space, |dfs| { dfs.reset(g); dfs.move_to(from); dfs.iter(g).any(|x| x == to) }) } /// Renamed to `kosaraju_scc`. #[deprecated(note = "renamed to kosaraju_scc")] pub fn scc<G>(g: G) -> Vec<Vec<G::NodeId>> where G: IntoNeighborsDirected + Visitable + IntoNodeIdentifiers, { kosaraju_scc(g) } /// \[Generic\] Compute the *strongly connected components* using [Kosaraju's algorithm][1]. /// /// [1]: https://en.wikipedia.org/wiki/Kosaraju%27s_algorithm /// /// Return a vector where each element is a strongly connected component (scc). /// The order of node ids within each scc is arbitrary, but the order of /// the sccs is their postorder (reverse topological sort). /// /// For an undirected graph, the sccs are simply the connected components. /// /// This implementation is iterative and does two passes over the nodes. pub fn kosaraju_scc<G>(g: G) -> Vec<Vec<G::NodeId>> where G: IntoNeighborsDirected + Visitable + IntoNodeIdentifiers, { let mut dfs = DfsPostOrder::empty(g); // First phase, reverse dfs pass, compute finishing times. // http://stackoverflow.com/a/26780899/161659 let mut finish_order = Vec::with_capacity(0); for i in g.node_identifiers() { if dfs.discovered.is_visited(&i) { continue; } dfs.move_to(i); while let Some(nx) = dfs.next(Reversed(g)) { finish_order.push(nx); } } let mut dfs = Dfs::from_parts(dfs.stack, dfs.discovered); dfs.reset(g); let mut sccs = Vec::new(); // Second phase // Process in decreasing finishing time order for i in finish_order.into_iter().rev() { if dfs.discovered.is_visited(&i) { continue; } // Move to the leader node `i`. dfs.move_to(i); let mut scc = Vec::new(); while let Some(nx) = dfs.next(g) { scc.push(nx); } sccs.push(scc); } sccs } #[derive(Copy, Clone, Debug)] struct NodeData { rootindex: Option<NonZeroUsize>, } /// A reusable state for computing the *strongly connected components* using [Tarjan's algorithm][1]. /// /// [1]: https://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm #[derive(Debug)] pub struct TarjanScc<N> { index: usize, componentcount: usize, nodes: Vec<NodeData>, stack: Vec<N>, } impl<N> Default for TarjanScc<N> { fn default() -> Self { Self::new() } } impl<N> TarjanScc<N> { /// Creates a new `TarjanScc` pub fn new() -> Self { TarjanScc { index: 1, // Invariant: index < componentcount at all times. componentcount: std::usize::MAX, // Will hold if componentcount is initialized to number of nodes - 1 or higher. nodes: Vec::new(), stack: Vec::new(), } } /// \[Generic\] Compute the *strongly connected components* using Algorithm 3 in /// [A Space-Efficient Algorithm for Finding Strongly Connected Components][1] by David J. Pierce, /// which is a memory-efficient variation of [Tarjan's algorithm][2]. /// /// /// [1]: https://homepages.ecs.vuw.ac.nz/~djp/files/P05.pdf /// [2]: https://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm /// /// Calls `f` for each strongly strongly connected component (scc). /// The order of node ids within each scc is arbitrary, but the order of /// the sccs is their postorder (reverse topological sort). /// /// For an undirected graph, the sccs are simply the connected components. /// /// This implementation is recursive and does one pass over the nodes. pub fn run<G, F>(&mut self, g: G, mut f: F) where G: IntoNodeIdentifiers<NodeId = N> + IntoNeighbors<NodeId = N> + NodeIndexable<NodeId = N>, F: FnMut(&[N]), N: Copy + PartialEq, { self.nodes.clear(); self.nodes .resize(g.node_bound(), NodeData { rootindex: None }); for n in g.node_identifiers() { let visited = self.nodes[g.to_index(n)].rootindex.is_some(); if !visited { self.visit(n, g, &mut f); } } debug_assert!(self.stack.is_empty()); } fn visit<G, F>(&mut self, v: G::NodeId, g: G, f: &mut F) where G: IntoNeighbors<NodeId = N> + NodeIndexable<NodeId = N>, F: FnMut(&[N]), N: Copy + PartialEq, { macro_rules! node { ($node:expr) => { self.nodes[g.to_index($node)] }; } let node_v = &mut node![v]; debug_assert!(node_v.rootindex.is_none()); let mut v_is_local_root = true; let v_index = self.index; node_v.rootindex = NonZeroUsize::new(v_index); self.index += 1; for w in g.neighbors(v) { if node![w].rootindex.is_none() { self.visit(w, g, f); } if node![w].rootindex < node![v].rootindex { node![v].rootindex = node![w].rootindex; v_is_local_root = false } } if v_is_local_root { // Pop the stack and generate an SCC. let mut indexadjustment = 1; let c = NonZeroUsize::new(self.componentcount); let nodes = &mut self.nodes; let start = self .stack .iter() .rposition(|&w| { if nodes[g.to_index(v)].rootindex > nodes[g.to_index(w)].rootindex { true } else { nodes[g.to_index(w)].rootindex = c; indexadjustment += 1; false } }) .map(|x| x + 1) .unwrap_or_default(); nodes[g.to_index(v)].rootindex = c; self.stack.push(v); // Pushing the component root to the back right before getting rid of it is somewhat ugly, but it lets it be included in f. f(&self.stack[start..]); self.stack.truncate(start); self.index -= indexadjustment; // Backtrack index back to where it was before we ever encountered the component. self.componentcount -= 1; } else { self.stack.push(v); // Stack is filled up when backtracking, unlike in Tarjans original algorithm. } } /// Returns the index of the component in which v has been assigned. Allows for using self as a lookup table for an scc decomposition produced by self.run(). pub fn node_component_index<G>(&self, g: G, v: N) -> usize where G: IntoNeighbors<NodeId = N> + NodeIndexable<NodeId = N>, N: Copy + PartialEq, { let rindex: usize = self.nodes[g.to_index(v)] .rootindex .map(NonZeroUsize::get) .unwrap_or(0); // Compiles to no-op. debug_assert!( rindex != 0, "Tried to get the component index of an unvisited node." ); debug_assert!( rindex > self.componentcount, "Given node has been visited but not yet assigned to a component." ); std::usize::MAX - rindex } } /// \[Generic\] Compute the *strongly connected components* using [Tarjan's algorithm][1]. /// /// [1]: https://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm /// [2]: https://homepages.ecs.vuw.ac.nz/~djp/files/P05.pdf /// /// Return a vector where each element is a strongly connected component (scc). /// The order of node ids within each scc is arbitrary, but the order of /// the sccs is their postorder (reverse topological sort). /// /// For an undirected graph, the sccs are simply the connected components. /// /// This implementation is recursive and does one pass over the nodes. It is based on /// [A Space-Efficient Algorithm for Finding Strongly Connected Components][2] by David J. Pierce, /// to provide a memory-efficient implementation of [Tarjan's algorithm][1]. pub fn tarjan_scc<G>(g: G) -> Vec<Vec<G::NodeId>> where G: IntoNodeIdentifiers + IntoNeighbors + NodeIndexable, { let mut sccs = Vec::new(); { let mut tarjan_scc = TarjanScc::new(); tarjan_scc.run(g, |scc| sccs.push(scc.to_vec())); } sccs } /// [Graph] Condense every strongly connected component into a single node and return the result. /// /// If `make_acyclic` is true, self-loops and multi edges are ignored, guaranteeing that /// the output is acyclic. /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::algo::condensation; /// use petgraph::prelude::*; /// /// let mut graph : Graph<(),(),Directed> = Graph::new(); /// let a = graph.add_node(()); // node with no weight /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// let e = graph.add_node(()); /// let f = graph.add_node(()); /// let g = graph.add_node(()); /// let h = graph.add_node(()); /// /// graph.extend_with_edges(&[ /// (a, b), /// (b, c), /// (c, d), /// (d, a), /// (b, e), /// (e, f), /// (f, g), /// (g, h), /// (h, e) /// ]); /// /// // a ----> b ----> e ----> f /// // ^ | ^ | /// // | v | v /// // d <---- c h <---- g /// /// let condensed_graph = condensation(graph,false); /// let A = NodeIndex::new(0); /// let B = NodeIndex::new(1); /// assert_eq!(condensed_graph.node_count(), 2); /// assert_eq!(condensed_graph.edge_count(), 9); /// assert_eq!(condensed_graph.neighbors(A).collect::<Vec<_>>(), vec![A, A, A, A]); /// assert_eq!(condensed_graph.neighbors(B).collect::<Vec<_>>(), vec![A, B, B, B, B]); /// ``` /// If `make_acyclic` is true, self-loops and multi edges are ignored: /// /// ```rust /// # use petgraph::Graph; /// # use petgraph::algo::condensation; /// # use petgraph::prelude::*; /// # /// # let mut graph : Graph<(),(),Directed> = Graph::new(); /// # let a = graph.add_node(()); // node with no weight /// # let b = graph.add_node(()); /// # let c = graph.add_node(()); /// # let d = graph.add_node(()); /// # let e = graph.add_node(()); /// # let f = graph.add_node(()); /// # let g = graph.add_node(()); /// # let h = graph.add_node(()); /// # /// # graph.extend_with_edges(&[ /// # (a, b), /// # (b, c), /// # (c, d), /// # (d, a), /// # (b, e), /// # (e, f), /// # (f, g), /// # (g, h), /// # (h, e) /// # ]); /// let acyclic_condensed_graph = condensation(graph, true); /// let A = NodeIndex::new(0); /// let B = NodeIndex::new(1); /// assert_eq!(acyclic_condensed_graph.node_count(), 2); /// assert_eq!(acyclic_condensed_graph.edge_count(), 1); /// assert_eq!(acyclic_condensed_graph.neighbors(B).collect::<Vec<_>>(), vec![A]); /// ``` pub fn condensation<N, E, Ty, Ix>( g: Graph<N, E, Ty, Ix>, make_acyclic: bool, ) -> Graph<Vec<N>, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { let sccs = kosaraju_scc(&g); let mut condensed: Graph<Vec<N>, E, Ty, Ix> = Graph::with_capacity(sccs.len(), g.edge_count()); // Build a map from old indices to new ones. let mut node_map = vec![NodeIndex::end(); g.node_count()]; for comp in sccs { let new_nix = condensed.add_node(Vec::new()); for nix in comp { node_map[nix.index()] = new_nix; } } // Consume nodes and edges of the old graph and insert them into the new one. let (nodes, edges) = g.into_nodes_edges(); for (nix, node) in nodes.into_iter().enumerate() { condensed[node_map[nix]].push(node.weight); } for edge in edges { let source = node_map[edge.source().index()]; let target = node_map[edge.target().index()]; if make_acyclic { if source != target { condensed.update_edge(source, target, edge.weight); } } else { condensed.add_edge(source, target, edge.weight); } } condensed } /// \[Generic\] Compute a *minimum spanning tree* of a graph. /// /// The input graph is treated as if undirected. /// /// Using Kruskal's algorithm with runtime **O(|E| log |E|)**. We actually /// return a minimum spanning forest, i.e. a minimum spanning tree for each connected /// component of the graph. /// /// The resulting graph has all the vertices of the input graph (with identical node indices), /// and **|V| - c** edges, where **c** is the number of connected components in `g`. /// /// Use `from_elements` to create a graph from the resulting iterator. pub fn min_spanning_tree<G>(g: G) -> MinSpanningTree<G> where G::NodeWeight: Clone, G::EdgeWeight: Clone + PartialOrd, G: IntoNodeReferences + IntoEdgeReferences + NodeIndexable, { // Initially each vertex is its own disjoint subgraph, track the connectedness // of the pre-MST with a union & find datastructure. let subgraphs = UnionFind::new(g.node_bound()); let edges = g.edge_references(); let mut sort_edges = BinaryHeap::with_capacity(edges.size_hint().0); for edge in edges { sort_edges.push(MinScored( edge.weight().clone(), (edge.source(), edge.target()), )); } MinSpanningTree { graph: g, node_ids: Some(g.node_references()), subgraphs, sort_edges, node_map: HashMap::new(), node_count: 0, } } /// An iterator producing a minimum spanning forest of a graph. #[derive(Debug, Clone)] pub struct MinSpanningTree<G> where G: Data + IntoNodeReferences, { graph: G, node_ids: Option<G::NodeReferences>, subgraphs: UnionFind<usize>, #[allow(clippy::type_complexity)] sort_edges: BinaryHeap<MinScored<G::EdgeWeight, (G::NodeId, G::NodeId)>>, node_map: HashMap<usize, usize>, node_count: usize, } impl<G> Iterator for MinSpanningTree<G> where G: IntoNodeReferences + NodeIndexable, G::NodeWeight: Clone, G::EdgeWeight: PartialOrd, { type Item = Element<G::NodeWeight, G::EdgeWeight>; fn next(&mut self) -> Option<Self::Item> { let g = self.graph; if let Some(ref mut iter) = self.node_ids { if let Some(node) = iter.next() { self.node_map.insert(g.to_index(node.id()), self.node_count); self.node_count += 1; return Some(Element::Node { weight: node.weight().clone(), }); } } self.node_ids = None; // Kruskal's algorithm. // Algorithm is this: // // 1. Create a pre-MST with all the vertices and no edges. // 2. Repeat: // // a. Remove the shortest edge from the original graph. // b. If the edge connects two disjoint trees in the pre-MST, // add the edge. while let Some(MinScored(score, (a, b))) = self.sort_edges.pop() { // check if the edge would connect two disjoint parts let (a_index, b_index) = (g.to_index(a), g.to_index(b)); if self.subgraphs.union(a_index, b_index) { let (&a_order, &b_order) = match (self.node_map.get(&a_index), self.node_map.get(&b_index)) { (Some(a_id), Some(b_id)) => (a_id, b_id), _ => panic!("Edge references unknown node"), }; return Some(Element::Edge { source: a_order, target: b_order, weight: score, }); } } None } } /// An algorithm error: a cycle was found in the graph. #[derive(Clone, Debug, PartialEq)] pub struct Cycle<N>(N); impl<N> Cycle<N> { /// Return a node id that participates in the cycle pub fn node_id(&self) -> N where N: Copy, { self.0 } } /// An algorithm error: a cycle of negative weights was found in the graph. #[derive(Clone, Debug, PartialEq)] pub struct NegativeCycle(pub ()); /// Return `true` if the graph is bipartite. A graph is bipartite if its nodes can be divided into /// two disjoint and indepedent sets U and V such that every edge connects U to one in V. This /// algorithm implements 2-coloring algorithm based on the BFS algorithm. /// /// Always treats the input graph as if undirected. pub fn is_bipartite_undirected<G, N, VM>(g: G, start: N) -> bool where G: GraphRef + Visitable<NodeId = N, Map = VM> + IntoNeighbors<NodeId = N>, N: Copy + PartialEq + std::fmt::Debug, VM: VisitMap<N>, { let mut red = g.visit_map(); red.visit(start); let mut blue = g.visit_map(); let mut stack = ::std::collections::VecDeque::new(); stack.push_front(start); while let Some(node) = stack.pop_front() { let is_red = red.is_visited(&node); let is_blue = blue.is_visited(&node); assert!(is_red ^ is_blue); for neighbour in g.neighbors(node) { let is_neigbour_red = red.is_visited(&neighbour); let is_neigbour_blue = blue.is_visited(&neighbour); if (is_red && is_neigbour_red) || (is_blue && is_neigbour_blue) { return false; } if !is_neigbour_red && !is_neigbour_blue { //hasn't been visited yet match (is_red, is_blue) { (true, false) => { blue.visit(neighbour); } (false, true) => { red.visit(neighbour); } (_, _) => { panic!("Invariant doesn't hold"); } } stack.push_back(neighbour); } } } true } use std::fmt::Debug; use std::ops::Add; /// Associated data that can be used for measures (such as length). pub trait Measure: Debug + PartialOrd + Add<Self, Output = Self> + Default + Clone {} impl<M> Measure for M where M: Debug + PartialOrd + Add<M, Output = M> + Default + Clone {} /// A floating-point measure. pub trait FloatMeasure: Measure + Copy { fn zero() -> Self; fn infinite() -> Self; } impl FloatMeasure for f32 { fn zero() -> Self { 0. } fn infinite() -> Self { 1. / 0. } } impl FloatMeasure for f64 { fn zero() -> Self { 0. } fn infinite() -> Self { 1. / 0. } } pub trait BoundedMeasure: Measure + std::ops::Sub<Self, Output = Self> { fn min() -> Self; fn max() -> Self; fn overflowing_add(self, rhs: Self) -> (Self, bool); } macro_rules! impl_bounded_measure_integer( ( $( $t:ident ),* ) => { $( impl BoundedMeasure for $t { fn min() -> Self { std::$t::MIN } fn max() -> Self { std::$t::MAX } fn overflowing_add(self, rhs: Self) -> (Self, bool) { self.overflowing_add(rhs) } } )* }; ); impl_bounded_measure_integer!(u8, u16, u32, u64, u128, usize, i8, i16, i32, i64, i128, isize); macro_rules! impl_bounded_measure_float( ( $( $t:ident ),* ) => { $( impl BoundedMeasure for $t { fn min() -> Self { std::$t::MIN } fn max() -> Self { std::$t::MAX } fn overflowing_add(self, rhs: Self) -> (Self, bool) { // for an overflow: a + b > max: both values need to be positive and a > max - b must be satisfied let overflow = self > Self::default() && rhs > Self::default() && self > std::$t::MAX - rhs; // for an underflow: a + b < min: overflow can not happen and both values must be negative and a < min - b must be satisfied let underflow = !overflow && self < Self::default() && rhs < Self::default() && self < std::$t::MIN - rhs; (self + rhs, overflow || underflow) } } )* }; ); impl_bounded_measure_float!(f32, f64); �����petgraph-0.6.4/src/algo/simple_paths.rs�������������������������������������������������������������0000644�0000000�0000000�00000013556�10461020230�0016226�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::{ hash::Hash, iter::{from_fn, FromIterator}, }; use indexmap::IndexSet; use crate::{ visit::{IntoNeighborsDirected, NodeCount}, Direction::Outgoing, }; /// Returns an iterator that produces all simple paths from `from` node to `to`, which contains at least `min_intermediate_nodes` nodes /// and at most `max_intermediate_nodes`, if given, or limited by the graph's order otherwise. The simple path is a path without repetitions. /// /// This algorithm is adapted from <https://networkx.github.io/documentation/stable/reference/algorithms/generated/networkx.algorithms.simple_paths.all_simple_paths.html>. /// /// # Example /// ``` /// use petgraph::{algo, prelude::*}; /// /// let mut graph = DiGraph::<&str, i32>::new(); /// /// let a = graph.add_node("a"); /// let b = graph.add_node("b"); /// let c = graph.add_node("c"); /// let d = graph.add_node("d"); /// /// graph.extend_with_edges(&[(a, b, 1), (b, c, 1), (c, d, 1), (a, b, 1), (b, d, 1)]); /// /// let ways = algo::all_simple_paths::<Vec<_>, _>(&graph, a, d, 0, None) /// .collect::<Vec<_>>(); /// /// assert_eq!(4, ways.len()); /// ``` pub fn all_simple_paths<TargetColl, G>( graph: G, from: G::NodeId, to: G::NodeId, min_intermediate_nodes: usize, max_intermediate_nodes: Option<usize>, ) -> impl Iterator<Item = TargetColl> where G: NodeCount, G: IntoNeighborsDirected, G::NodeId: Eq + Hash, TargetColl: FromIterator<G::NodeId>, { // how many nodes are allowed in simple path up to target node // it is min/max allowed path length minus one, because it is more appropriate when implementing lookahead // than constantly add 1 to length of current path let max_length = if let Some(l) = max_intermediate_nodes { l + 1 } else { graph.node_count() - 1 }; let min_length = min_intermediate_nodes + 1; // list of visited nodes let mut visited: IndexSet<G::NodeId> = IndexSet::from_iter(Some(from)); // list of childs of currently exploring path nodes, // last elem is list of childs of last visited node let mut stack = vec![graph.neighbors_directed(from, Outgoing)]; from_fn(move || { while let Some(children) = stack.last_mut() { if let Some(child) = children.next() { if visited.len() < max_length { if child == to { if visited.len() >= min_length { let path = visited .iter() .cloned() .chain(Some(to)) .collect::<TargetColl>(); return Some(path); } } else if !visited.contains(&child) { visited.insert(child); stack.push(graph.neighbors_directed(child, Outgoing)); } } else { if (child == to || children.any(|v| v == to)) && visited.len() >= min_length { let path = visited .iter() .cloned() .chain(Some(to)) .collect::<TargetColl>(); return Some(path); } stack.pop(); visited.pop(); } } else { stack.pop(); visited.pop(); } } None }) } #[cfg(test)] mod test { use std::{collections::HashSet, iter::FromIterator}; use itertools::assert_equal; use crate::{dot::Dot, prelude::DiGraph}; use super::all_simple_paths; #[test] fn test_all_simple_paths() { let graph = DiGraph::<i32, i32, _>::from_edges(&[ (0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3), (2, 4), (3, 2), (3, 4), (4, 2), (4, 5), (5, 2), (5, 3), ]); let expexted_simple_paths_0_to_5 = vec![ vec![0usize, 1, 2, 3, 4, 5], vec![0, 1, 2, 4, 5], vec![0, 1, 3, 2, 4, 5], vec![0, 1, 3, 4, 5], vec![0, 2, 3, 4, 5], vec![0, 2, 4, 5], vec![0, 3, 2, 4, 5], vec![0, 3, 4, 5], ]; println!("{}", Dot::new(&graph)); let actual_simple_paths_0_to_5: HashSet<Vec<_>> = all_simple_paths(&graph, 0u32.into(), 5u32.into(), 0, None) .map(|v: Vec<_>| v.into_iter().map(|i| i.index()).collect()) .collect(); assert_eq!(actual_simple_paths_0_to_5.len(), 8); assert_eq!( HashSet::from_iter(expexted_simple_paths_0_to_5), actual_simple_paths_0_to_5 ); } #[test] fn test_one_simple_path() { let graph = DiGraph::<i32, i32, _>::from_edges(&[(0, 1), (2, 1)]); let expexted_simple_paths_0_to_1 = &[vec![0usize, 1]]; println!("{}", Dot::new(&graph)); let actual_simple_paths_0_to_1: Vec<Vec<_>> = all_simple_paths(&graph, 0u32.into(), 1u32.into(), 0, None) .map(|v: Vec<_>| v.into_iter().map(|i| i.index()).collect()) .collect(); assert_eq!(actual_simple_paths_0_to_1.len(), 1); assert_equal(expexted_simple_paths_0_to_1, &actual_simple_paths_0_to_1); } #[test] fn test_no_simple_paths() { let graph = DiGraph::<i32, i32, _>::from_edges(&[(0, 1), (2, 1)]); println!("{}", Dot::new(&graph)); let actual_simple_paths_0_to_2: Vec<Vec<_>> = all_simple_paths(&graph, 0u32.into(), 2u32.into(), 0, None) .map(|v: Vec<_>| v.into_iter().map(|i| i.index()).collect()) .collect(); assert_eq!(actual_simple_paths_0_to_2.len(), 0); } } ��������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/algo/tred.rs���������������������������������������������������������������������0000644�0000000�0000000�00000014173�10461020230�0014470�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Compute the transitive reduction and closure of a directed acyclic graph //! //! ## Transitive reduction and closure //! The *transitive closure* of a graph **G = (V, E)** is the graph **Gc = (V, Ec)** //! such that **(i, j)** belongs to **Ec** if and only if there is a path connecting //! **i** to **j** in **G**. The *transitive reduction* of **G** is the graph **Gr //! = (V, Er)** such that **Er** is minimal wrt. inclusion in **E** and the transitive //! closure of **Gr** is the same as that of **G**. //! The transitive reduction is well-defined for acyclic graphs only. use crate::adj::{List, UnweightedList}; use crate::graph::IndexType; use crate::visit::{ GraphBase, IntoNeighbors, IntoNeighborsDirected, NodeCompactIndexable, NodeCount, }; use crate::Direction; use fixedbitset::FixedBitSet; /// Creates a representation of the same graph respecting topological order for use in `tred::dag_transitive_reduction_closure`. /// /// `toposort` must be a topological order on the node indices of `g` (for example obtained /// from [`toposort`]). /// /// [`toposort`]: ../fn.toposort.html /// /// Returns a pair of a graph `res` and the reciprocal of the topological sort `revmap`. /// /// `res` is the same graph as `g` with the following differences: /// * Node and edge weights are stripped, /// * Node indices are replaced by the corresponding rank in `toposort`, /// * Iterating on the neighbors of a node respects topological order. /// /// `revmap` is handy to get back to map indices in `g` to indices in `res`. /// ``` /// use petgraph::prelude::*; /// use petgraph::graph::DefaultIx; /// use petgraph::visit::IntoNeighbors; /// use petgraph::algo::tred::dag_to_toposorted_adjacency_list; /// /// let mut g = Graph::<&str, (), Directed, DefaultIx>::new(); /// let second = g.add_node("second child"); /// let top = g.add_node("top"); /// let first = g.add_node("first child"); /// g.extend_with_edges(&[(top, second), (top, first), (first, second)]); /// /// let toposort = vec![top, first, second]; /// /// let (res, revmap) = dag_to_toposorted_adjacency_list(&g, &toposort); /// /// // let's compute the children of top in topological order /// let children: Vec<NodeIndex> = res /// .neighbors(revmap[top.index()]) /// .map(|ix: NodeIndex| toposort[ix.index()]) /// .collect(); /// assert_eq!(children, vec![first, second]) /// ``` /// /// Runtime: **O(|V| + |E|)**. /// /// Space complexity: **O(|V| + |E|)**. pub fn dag_to_toposorted_adjacency_list<G, Ix: IndexType>( g: G, toposort: &[G::NodeId], ) -> (UnweightedList<Ix>, Vec<Ix>) where G: GraphBase + IntoNeighborsDirected + NodeCompactIndexable + NodeCount, G::NodeId: IndexType, { let mut res = List::with_capacity(g.node_count()); // map from old node index to rank in toposort let mut revmap = vec![Ix::default(); g.node_bound()]; for (ix, &old_ix) in toposort.iter().enumerate() { let ix = Ix::new(ix); revmap[old_ix.index()] = ix; let iter = g.neighbors_directed(old_ix, Direction::Incoming); let new_ix: Ix = res.add_node_with_capacity(iter.size_hint().0); debug_assert_eq!(new_ix.index(), ix.index()); for old_pre in iter { let pre: Ix = revmap[old_pre.index()]; res.add_edge(pre, ix, ()); } } (res, revmap) } /// Computes the transitive reduction and closure of a DAG. /// /// The algorithm implemented here comes from [On the calculation of /// transitive reduction-closure of /// orders](https://www.sciencedirect.com/science/article/pii/0012365X9390164O) by Habib, Morvan /// and Rampon. /// /// The input graph must be in a very specific format: an adjacency /// list such that: /// * Node indices are a toposort, and /// * The neighbors of all nodes are stored in topological order. /// To get such a representation, use the function [`dag_to_toposorted_adjacency_list`]. /// /// [`dag_to_toposorted_adjacency_list`]: ./fn.dag_to_toposorted_adjacency_list.html /// /// The output is the pair of the transitive reduction and the transitive closure. /// /// Runtime complexity: **O(|V| + \sum_{(x, y) \in Er} d(y))** where **d(y)** /// denotes the outgoing degree of **y** in the transitive closure of **G**. /// This is still **O(|V|³)** in the worst case like the naive algorithm but /// should perform better for some classes of graphs. /// /// Space complexity: **O(|E|)**. pub fn dag_transitive_reduction_closure<E, Ix: IndexType>( g: &List<E, Ix>, ) -> (UnweightedList<Ix>, UnweightedList<Ix>) { let mut tred = List::with_capacity(g.node_count()); let mut tclos = List::with_capacity(g.node_count()); let mut mark = FixedBitSet::with_capacity(g.node_count()); for i in g.node_indices() { tred.add_node(); tclos.add_node_with_capacity(g.neighbors(i).len()); } // the algorithm relies on this iterator being toposorted for i in g.node_indices().rev() { // the algorighm relies on this iterator being toposorted for x in g.neighbors(i) { if !mark[x.index()] { tred.add_edge(i, x, ()); tclos.add_edge(i, x, ()); for e in tclos.edge_indices_from(x) { let y = tclos.edge_endpoints(e).unwrap().1; if !mark[y.index()] { mark.insert(y.index()); tclos.add_edge(i, y, ()); } } } } for y in tclos.neighbors(i) { mark.set(y.index(), false); } } (tred, tclos) } #[cfg(test)] #[test] fn test_easy_tred() { let mut input = List::new(); let a: u8 = input.add_node(); let b = input.add_node(); let c = input.add_node(); input.add_edge(a, b, ()); input.add_edge(a, c, ()); input.add_edge(b, c, ()); let (tred, tclos) = dag_transitive_reduction_closure(&input); assert_eq!(tred.node_count(), 3); assert_eq!(tclos.node_count(), 3); assert!(tred.find_edge(a, b).is_some()); assert!(tred.find_edge(b, c).is_some()); assert!(tred.find_edge(a, c).is_none()); assert!(tclos.find_edge(a, b).is_some()); assert!(tclos.find_edge(b, c).is_some()); assert!(tclos.find_edge(a, c).is_some()); } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/csr.rs���������������������������������������������������������������������������0000644�0000000�0000000�00000073617�10461020230�0013407�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Compressed Sparse Row (CSR) is a sparse adjacency matrix graph. use std::cmp::{max, Ordering}; use std::iter::{Enumerate, Zip}; use std::marker::PhantomData; use std::ops::{Index, IndexMut, Range}; use std::slice::Windows; use crate::visit::{ Data, EdgeCount, EdgeRef, GetAdjacencyMatrix, GraphBase, GraphProp, IntoEdgeReferences, IntoEdges, IntoNeighbors, IntoNodeIdentifiers, IntoNodeReferences, NodeCompactIndexable, NodeCount, NodeIndexable, Visitable, }; use crate::util::zip; #[doc(no_inline)] pub use crate::graph::{DefaultIx, IndexType}; use crate::{Directed, EdgeType, IntoWeightedEdge}; /// Csr node index type, a plain integer. pub type NodeIndex<Ix = DefaultIx> = Ix; /// Csr edge index type, a plain integer. pub type EdgeIndex = usize; const BINARY_SEARCH_CUTOFF: usize = 32; /// Compressed Sparse Row ([`CSR`]) is a sparse adjacency matrix graph. /// /// `CSR` is parameterized over: /// /// - Associated data `N` for nodes and `E` for edges, called *weights*. /// The associated data can be of arbitrary type. /// - Edge type `Ty` that determines whether the graph edges are directed or undirected. /// - Index type `Ix`, which determines the maximum size of the graph. /// /// /// Using **O(|E| + |V|)** space. /// /// Self loops are allowed, no parallel edges. /// /// Fast iteration of the outgoing edges of a vertex. /// /// [`CSR`]: https://en.wikipedia.org/wiki/Sparse_matrix#Compressed_sparse_row_(CSR,_CRS_or_Yale_format) #[derive(Debug)] pub struct Csr<N = (), E = (), Ty = Directed, Ix = DefaultIx> { /// Column of next edge column: Vec<NodeIndex<Ix>>, /// weight of each edge; lock step with column edges: Vec<E>, /// Index of start of row Always node_count + 1 long. /// Last element is always equal to column.len() row: Vec<usize>, node_weights: Vec<N>, edge_count: usize, ty: PhantomData<Ty>, } impl<N, E, Ty, Ix> Default for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn default() -> Self { Self::new() } } impl<N: Clone, E: Clone, Ty, Ix: Clone> Clone for Csr<N, E, Ty, Ix> { fn clone(&self) -> Self { Csr { column: self.column.clone(), edges: self.edges.clone(), row: self.row.clone(), node_weights: self.node_weights.clone(), edge_count: self.edge_count, ty: self.ty, } } } impl<N, E, Ty, Ix> Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { /// Create an empty `Csr`. pub fn new() -> Self { Csr { column: vec![], edges: vec![], row: vec![0; 1], node_weights: vec![], edge_count: 0, ty: PhantomData, } } /// Create a new `Csr` with `n` nodes. `N` must implement [`Default`] for the weight of each node. /// /// [`Default`]: https://doc.rust-lang.org/nightly/core/default/trait.Default.html /// /// # Example /// ```rust /// use petgraph::csr::Csr; /// use petgraph::prelude::*; /// /// let graph = Csr::<u8,()>::with_nodes(5); /// assert_eq!(graph.node_count(),5); /// assert_eq!(graph.edge_count(),0); /// /// assert_eq!(graph[0],0); /// assert_eq!(graph[4],0); /// ``` pub fn with_nodes(n: usize) -> Self where N: Default, { Csr { column: Vec::new(), edges: Vec::new(), row: vec![0; n + 1], node_weights: (0..n).map(|_| N::default()).collect(), edge_count: 0, ty: PhantomData, } } } /// Csr creation error: edges were not in sorted order. #[derive(Clone, Debug)] pub struct EdgesNotSorted { first_error: (usize, usize), } impl<N, E, Ix> Csr<N, E, Directed, Ix> where Ix: IndexType, { /// Create a new `Csr` from a sorted sequence of edges /// /// Edges **must** be sorted and unique, where the sort order is the default /// order for the pair *(u, v)* in Rust (*u* has priority). /// /// Computes in **O(|E| + |V|)** time. /// # Example /// ```rust /// use petgraph::csr::Csr; /// use petgraph::prelude::*; /// /// let graph = Csr::<(),()>::from_sorted_edges(&[ /// (0, 1), (0, 2), /// (1, 0), (1, 2), (1, 3), /// (2, 0), /// (3, 1), /// ]); /// ``` pub fn from_sorted_edges<Edge>(edges: &[Edge]) -> Result<Self, EdgesNotSorted> where Edge: Clone + IntoWeightedEdge<E, NodeId = NodeIndex<Ix>>, N: Default, { let max_node_id = match edges .iter() .map(|edge| { let (x, y, _) = edge.clone().into_weighted_edge(); max(x.index(), y.index()) }) .max() { None => return Ok(Self::with_nodes(0)), Some(x) => x, }; let mut self_ = Self::with_nodes(max_node_id + 1); let mut iter = edges.iter().cloned().peekable(); { let mut rows = self_.row.iter_mut(); let mut rstart = 0; let mut last_target; 'outer: for (node, r) in (&mut rows).enumerate() { *r = rstart; last_target = None; 'inner: loop { if let Some(edge) = iter.peek() { let (n, m, weight) = edge.clone().into_weighted_edge(); // check that the edges are in increasing sequence if node > n.index() { return Err(EdgesNotSorted { first_error: (n.index(), m.index()), }); } /* debug_assert!(node <= n.index(), concat!("edges are not sorted, ", "failed assertion source {:?} <= {:?} ", "for edge {:?}"), node, n, (n, m)); */ if n.index() != node { break 'inner; } // check that the edges are in increasing sequence /* debug_assert!(last_target.map_or(true, |x| m > x), "edges are not sorted, failed assertion {:?} < {:?}", last_target, m); */ if !last_target.map_or(true, |x| m > x) { return Err(EdgesNotSorted { first_error: (n.index(), m.index()), }); } last_target = Some(m); self_.column.push(m); self_.edges.push(weight); rstart += 1; } else { break 'outer; } iter.next(); } } for r in rows { *r = rstart; } } Ok(self_) } } impl<N, E, Ty, Ix> Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { pub fn node_count(&self) -> usize { self.row.len() - 1 } pub fn edge_count(&self) -> usize { if self.is_directed() { self.column.len() } else { self.edge_count } } pub fn is_directed(&self) -> bool { Ty::is_directed() } /// Remove all edges pub fn clear_edges(&mut self) { self.column.clear(); self.edges.clear(); for r in &mut self.row { *r = 0; } if !self.is_directed() { self.edge_count = 0; } } /// Adds a new node with the given weight, returning the corresponding node index. pub fn add_node(&mut self, weight: N) -> NodeIndex<Ix> { let i = self.row.len() - 1; self.row.insert(i, self.column.len()); self.node_weights.insert(i, weight); Ix::new(i) } /// Return `true` if the edge was added /// /// If you add all edges in row-major order, the time complexity /// is **O(|V|·|E|)** for the whole operation. /// /// **Panics** if `a` or `b` are out of bounds. pub fn add_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> bool where E: Clone, { let ret = self.add_edge_(a, b, weight.clone()); if ret && !self.is_directed() { self.edge_count += 1; } if ret && !self.is_directed() && a != b { let _ret2 = self.add_edge_(b, a, weight); debug_assert_eq!(ret, _ret2); } ret } // Return false if the edge already exists fn add_edge_(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> bool { assert!(a.index() < self.node_count() && b.index() < self.node_count()); // a x b is at (a, b) in the matrix // find current range of edges from a let pos = match self.find_edge_pos(a, b) { Ok(_) => return false, /* already exists */ Err(i) => i, }; self.column.insert(pos, b); self.edges.insert(pos, weight); // update row vector for r in &mut self.row[a.index() + 1..] { *r += 1; } true } fn find_edge_pos(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> Result<usize, usize> { let (index, neighbors) = self.neighbors_of(a); if neighbors.len() < BINARY_SEARCH_CUTOFF { for (i, elt) in neighbors.iter().enumerate() { match elt.cmp(&b) { Ordering::Equal => return Ok(i + index), Ordering::Greater => return Err(i + index), Ordering::Less => {} } } Err(neighbors.len() + index) } else { match neighbors.binary_search(&b) { Ok(i) => Ok(i + index), Err(i) => Err(i + index), } } } /// Computes in **O(log |V|)** time. /// /// **Panics** if the node `a` does not exist. pub fn contains_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { self.find_edge_pos(a, b).is_ok() } fn neighbors_range(&self, a: NodeIndex<Ix>) -> Range<usize> { let index = self.row[a.index()]; let end = self .row .get(a.index() + 1) .cloned() .unwrap_or_else(|| self.column.len()); index..end } fn neighbors_of(&self, a: NodeIndex<Ix>) -> (usize, &[Ix]) { let r = self.neighbors_range(a); (r.start, &self.column[r]) } /// Computes in **O(1)** time. /// /// **Panics** if the node `a` does not exist. pub fn out_degree(&self, a: NodeIndex<Ix>) -> usize { let r = self.neighbors_range(a); r.end - r.start } /// Computes in **O(1)** time. /// /// **Panics** if the node `a` does not exist. pub fn neighbors_slice(&self, a: NodeIndex<Ix>) -> &[NodeIndex<Ix>] { self.neighbors_of(a).1 } /// Computes in **O(1)** time. /// /// **Panics** if the node `a` does not exist. pub fn edges_slice(&self, a: NodeIndex<Ix>) -> &[E] { &self.edges[self.neighbors_range(a)] } /// Return an iterator of all edges of `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// **Panics** if the node `a` does not exist.<br> /// Iterator element type is `EdgeReference<E, Ty, Ix>`. pub fn edges(&self, a: NodeIndex<Ix>) -> Edges<E, Ty, Ix> { let r = self.neighbors_range(a); Edges { index: r.start, source: a, iter: zip(&self.column[r.clone()], &self.edges[r]), ty: self.ty, } } } #[derive(Clone, Debug)] pub struct Edges<'a, E: 'a, Ty = Directed, Ix: 'a = DefaultIx> { index: usize, source: NodeIndex<Ix>, iter: Zip<SliceIter<'a, NodeIndex<Ix>>, SliceIter<'a, E>>, ty: PhantomData<Ty>, } #[derive(Debug)] pub struct EdgeReference<'a, E: 'a, Ty, Ix: 'a = DefaultIx> { index: EdgeIndex, source: NodeIndex<Ix>, target: NodeIndex<Ix>, weight: &'a E, ty: PhantomData<Ty>, } impl<'a, E, Ty, Ix: Copy> Clone for EdgeReference<'a, E, Ty, Ix> { fn clone(&self) -> Self { *self } } impl<'a, E, Ty, Ix: Copy> Copy for EdgeReference<'a, E, Ty, Ix> {} impl<'a, Ty, E, Ix> EdgeReference<'a, E, Ty, Ix> where Ty: EdgeType, { /// Access the edge’s weight. /// /// **NOTE** that this method offers a longer lifetime /// than the trait (unfortunately they don't match yet). pub fn weight(&self) -> &'a E { self.weight } } impl<'a, E, Ty, Ix> EdgeRef for EdgeReference<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex; type Weight = E; fn source(&self) -> Self::NodeId { self.source } fn target(&self) -> Self::NodeId { self.target } fn weight(&self) -> &E { self.weight } fn id(&self) -> Self::EdgeId { self.index } } impl<'a, E, Ty, Ix> Iterator for Edges<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = EdgeReference<'a, E, Ty, Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(move |(&j, w)| { let index = self.index; self.index += 1; EdgeReference { index, source: self.source, target: j, weight: w, ty: PhantomData, } }) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } impl<N, E, Ty, Ix> Data for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeWeight = N; type EdgeWeight = E; } impl<'a, N, E, Ty, Ix> IntoEdgeReferences for &'a Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgeRef = EdgeReference<'a, E, Ty, Ix>; type EdgeReferences = EdgeReferences<'a, E, Ty, Ix>; fn edge_references(self) -> Self::EdgeReferences { EdgeReferences { index: 0, source_index: Ix::new(0), edge_ranges: self.row.windows(2).enumerate(), column: &self.column, edges: &self.edges, iter: zip(&[], &[]), ty: self.ty, } } } #[derive(Debug, Clone)] pub struct EdgeReferences<'a, E: 'a, Ty, Ix: 'a> { source_index: NodeIndex<Ix>, index: usize, edge_ranges: Enumerate<Windows<'a, usize>>, column: &'a [NodeIndex<Ix>], edges: &'a [E], iter: Zip<SliceIter<'a, NodeIndex<Ix>>, SliceIter<'a, E>>, ty: PhantomData<Ty>, } impl<'a, E, Ty, Ix> Iterator for EdgeReferences<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = EdgeReference<'a, E, Ty, Ix>; fn next(&mut self) -> Option<Self::Item> { loop { if let Some((&j, w)) = self.iter.next() { let index = self.index; self.index += 1; return Some(EdgeReference { index, source: self.source_index, target: j, weight: w, ty: PhantomData, }); } if let Some((i, w)) = self.edge_ranges.next() { let a = w[0]; let b = w[1]; self.iter = zip(&self.column[a..b], &self.edges[a..b]); self.source_index = Ix::new(i); } else { return None; } } } } impl<'a, N, E, Ty, Ix> IntoEdges for &'a Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Edges = Edges<'a, E, Ty, Ix>; fn edges(self, a: Self::NodeId) -> Self::Edges { self.edges(a) } } impl<N, E, Ty, Ix> GraphBase for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex; // index into edges vector } use fixedbitset::FixedBitSet; impl<N, E, Ty, Ix> Visitable for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Map = FixedBitSet; fn visit_map(&self) -> FixedBitSet { FixedBitSet::with_capacity(self.node_count()) } fn reset_map(&self, map: &mut Self::Map) { map.clear(); map.grow(self.node_count()); } } use std::slice::Iter as SliceIter; #[derive(Clone, Debug)] pub struct Neighbors<'a, Ix: 'a = DefaultIx> { iter: SliceIter<'a, NodeIndex<Ix>>, } impl<'a, Ix> Iterator for Neighbors<'a, Ix> where Ix: IndexType, { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.next().cloned() } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } impl<'a, N, E, Ty, Ix> IntoNeighbors for &'a Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Neighbors = Neighbors<'a, Ix>; /// Return an iterator of all neighbors of `a`. /// /// - `Directed`: Targets of outgoing edges from `a`. /// - `Undirected`: Opposing endpoints of all edges connected to `a`. /// /// **Panics** if the node `a` does not exist.<br> /// Iterator element type is `NodeIndex<Ix>`. fn neighbors(self, a: Self::NodeId) -> Self::Neighbors { Neighbors { iter: self.neighbors_slice(a).iter(), } } } impl<N, E, Ty, Ix> NodeIndexable for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_bound(&self) -> usize { self.node_count() } fn to_index(&self, a: Self::NodeId) -> usize { a.index() } fn from_index(&self, ix: usize) -> Self::NodeId { Ix::new(ix) } } impl<N, E, Ty, Ix> NodeCompactIndexable for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { } impl<N, E, Ty, Ix> Index<NodeIndex<Ix>> for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Output = N; fn index(&self, ix: NodeIndex<Ix>) -> &N { &self.node_weights[ix.index()] } } impl<N, E, Ty, Ix> IndexMut<NodeIndex<Ix>> for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn index_mut(&mut self, ix: NodeIndex<Ix>) -> &mut N { &mut self.node_weights[ix.index()] } } #[derive(Debug, Clone)] pub struct NodeIdentifiers<Ix = DefaultIx> { r: Range<usize>, ty: PhantomData<Ix>, } impl<Ix> Iterator for NodeIdentifiers<Ix> where Ix: IndexType, { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.r.next().map(Ix::new) } fn size_hint(&self) -> (usize, Option<usize>) { self.r.size_hint() } } impl<'a, N, E, Ty, Ix> IntoNodeIdentifiers for &'a Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeIdentifiers = NodeIdentifiers<Ix>; fn node_identifiers(self) -> Self::NodeIdentifiers { NodeIdentifiers { r: 0..self.node_count(), ty: PhantomData, } } } impl<N, E, Ty, Ix> NodeCount for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_count(&self) -> usize { (*self).node_count() } } impl<N, E, Ty, Ix> EdgeCount for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { #[inline] fn edge_count(&self) -> usize { self.edge_count() } } impl<N, E, Ty, Ix> GraphProp for Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgeType = Ty; } impl<'a, N, E, Ty, Ix> IntoNodeReferences for &'a Csr<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeRef = (NodeIndex<Ix>, &'a N); type NodeReferences = NodeReferences<'a, N, Ix>; fn node_references(self) -> Self::NodeReferences { NodeReferences { iter: self.node_weights.iter().enumerate(), ty: PhantomData, } } } /// Iterator over all nodes of a graph. #[derive(Debug, Clone)] pub struct NodeReferences<'a, N: 'a, Ix: IndexType = DefaultIx> { iter: Enumerate<SliceIter<'a, N>>, ty: PhantomData<Ix>, } impl<'a, N, Ix> Iterator for NodeReferences<'a, N, Ix> where Ix: IndexType, { type Item = (NodeIndex<Ix>, &'a N); fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(|(i, weight)| (Ix::new(i), weight)) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } impl<'a, N, Ix> DoubleEndedIterator for NodeReferences<'a, N, Ix> where Ix: IndexType, { fn next_back(&mut self) -> Option<Self::Item> { self.iter .next_back() .map(|(i, weight)| (Ix::new(i), weight)) } } impl<'a, N, Ix> ExactSizeIterator for NodeReferences<'a, N, Ix> where Ix: IndexType {} /// The adjacency matrix for **Csr** is a bitmap that's computed by /// `.adjacency_matrix()`. impl<'a, N, E, Ty, Ix> GetAdjacencyMatrix for &'a Csr<N, E, Ty, Ix> where Ix: IndexType, Ty: EdgeType, { type AdjMatrix = FixedBitSet; fn adjacency_matrix(&self) -> FixedBitSet { let n = self.node_count(); let mut matrix = FixedBitSet::with_capacity(n * n); for edge in self.edge_references() { let i = edge.source().index() * n + edge.target().index(); matrix.put(i); let j = edge.source().index() + n * edge.target().index(); matrix.put(j); } matrix } fn is_adjacent(&self, matrix: &FixedBitSet, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { let n = self.edge_count(); let index = n * a.index() + b.index(); matrix.contains(index) } } /* * Example [ a 0 b c d e 0 0 f ] Values: [a, b, c, d, e, f] Column: [0, 2, 0, 1, 2, 2] Row : [0, 2, 5] <- value index of row start * */ #[cfg(test)] mod tests { use super::Csr; use crate::algo::bellman_ford; use crate::algo::find_negative_cycle; use crate::algo::tarjan_scc; use crate::visit::Dfs; use crate::visit::VisitMap; use crate::Undirected; #[test] fn csr1() { let mut m: Csr = Csr::with_nodes(3); m.add_edge(0, 0, ()); m.add_edge(1, 2, ()); m.add_edge(2, 2, ()); m.add_edge(0, 2, ()); m.add_edge(1, 0, ()); m.add_edge(1, 1, ()); println!("{:?}", m); assert_eq!(&m.column, &[0, 2, 0, 1, 2, 2]); assert_eq!(&m.row, &[0, 2, 5, 6]); let added = m.add_edge(1, 2, ()); assert!(!added); assert_eq!(&m.column, &[0, 2, 0, 1, 2, 2]); assert_eq!(&m.row, &[0, 2, 5, 6]); assert_eq!(m.neighbors_slice(1), &[0, 1, 2]); assert_eq!(m.node_count(), 3); assert_eq!(m.edge_count(), 6); } #[test] fn csr_undirected() { /* [ 1 . 1 . . 1 1 1 1 ] */ let mut m: Csr<(), (), Undirected> = Csr::with_nodes(3); m.add_edge(0, 0, ()); m.add_edge(0, 2, ()); m.add_edge(1, 2, ()); m.add_edge(2, 2, ()); println!("{:?}", m); assert_eq!(&m.column, &[0, 2, 2, 0, 1, 2]); assert_eq!(&m.row, &[0, 2, 3, 6]); assert_eq!(m.node_count(), 3); assert_eq!(m.edge_count(), 4); } #[should_panic] #[test] fn csr_from_error_1() { // not sorted in source let m: Csr = Csr::from_sorted_edges(&[(0, 1), (1, 0), (0, 2)]).unwrap(); println!("{:?}", m); } #[should_panic] #[test] fn csr_from_error_2() { // not sorted in target let m: Csr = Csr::from_sorted_edges(&[(0, 1), (1, 0), (1, 2), (1, 1)]).unwrap(); println!("{:?}", m); } #[test] fn csr_from() { let m: Csr = Csr::from_sorted_edges(&[(0, 1), (0, 2), (1, 0), (1, 1), (2, 2), (2, 4)]).unwrap(); println!("{:?}", m); assert_eq!(m.neighbors_slice(0), &[1, 2]); assert_eq!(m.neighbors_slice(1), &[0, 1]); assert_eq!(m.neighbors_slice(2), &[2, 4]); assert_eq!(m.node_count(), 5); assert_eq!(m.edge_count(), 6); } #[test] fn csr_dfs() { let mut m: Csr = Csr::from_sorted_edges(&[ (0, 1), (0, 2), (1, 0), (1, 1), (1, 3), (2, 2), // disconnected subgraph (4, 4), (4, 5), ]) .unwrap(); println!("{:?}", m); let mut dfs = Dfs::new(&m, 0); while let Some(_) = dfs.next(&m) {} for i in 0..m.node_count() - 2 { assert!(dfs.discovered.is_visited(&i), "visited {}", i) } assert!(!dfs.discovered[4]); assert!(!dfs.discovered[5]); m.add_edge(1, 4, ()); println!("{:?}", m); dfs.reset(&m); dfs.move_to(0); while let Some(_) = dfs.next(&m) {} for i in 0..m.node_count() { assert!(dfs.discovered[i], "visited {}", i) } } #[test] fn csr_tarjan() { let m: Csr = Csr::from_sorted_edges(&[ (0, 1), (0, 2), (1, 0), (1, 1), (1, 3), (2, 2), (2, 4), (4, 4), (4, 5), (5, 2), ]) .unwrap(); println!("{:?}", m); println!("{:?}", tarjan_scc(&m)); } #[test] fn test_bellman_ford() { let m: Csr<(), _> = Csr::from_sorted_edges(&[ (0, 1, 0.5), (0, 2, 2.), (1, 0, 1.), (1, 1, 1.), (1, 2, 1.), (1, 3, 1.), (2, 3, 3.), (4, 5, 1.), (5, 7, 2.), (6, 7, 1.), (7, 8, 3.), ]) .unwrap(); println!("{:?}", m); let result = bellman_ford(&m, 0).unwrap(); println!("{:?}", result); let answer = [0., 0.5, 1.5, 1.5]; assert_eq!(&answer, &result.distances[..4]); assert!(result.distances[4..].iter().all(|&x| f64::is_infinite(x))); } #[test] fn test_bellman_ford_neg_cycle() { let m: Csr<(), _> = Csr::from_sorted_edges(&[ (0, 1, 0.5), (0, 2, 2.), (1, 0, 1.), (1, 1, -1.), (1, 2, 1.), (1, 3, 1.), (2, 3, 3.), ]) .unwrap(); let result = bellman_ford(&m, 0); assert!(result.is_err()); } #[test] fn test_find_neg_cycle1() { let m: Csr<(), _> = Csr::from_sorted_edges(&[ (0, 1, 0.5), (0, 2, 2.), (1, 0, 1.), (1, 1, -1.), (1, 2, 1.), (1, 3, 1.), (2, 3, 3.), ]) .unwrap(); let result = find_negative_cycle(&m, 0); assert_eq!(result, Some([1].to_vec())); } #[test] fn test_find_neg_cycle2() { let m: Csr<(), _> = Csr::from_sorted_edges(&[ (0, 1, 0.5), (0, 2, 2.), (1, 0, 1.), (1, 2, 1.), (1, 3, 1.), (2, 3, 3.), ]) .unwrap(); let result = find_negative_cycle(&m, 0); assert_eq!(result, None); } #[test] fn test_find_neg_cycle3() { let m: Csr<(), _> = Csr::from_sorted_edges(&[ (0, 1, 1.), (0, 2, 1.), (0, 3, 1.), (1, 3, 1.), (2, 1, 1.), (3, 2, -3.), ]) .unwrap(); let result = find_negative_cycle(&m, 0); assert_eq!(result, Some([1, 3, 2].to_vec())); } #[test] fn test_find_neg_cycle4() { let m: Csr<(), _> = Csr::from_sorted_edges(&[(0, 0, -1.)]).unwrap(); let result = find_negative_cycle(&m, 0); assert_eq!(result, Some([0].to_vec())); } #[test] fn test_edge_references() { use crate::visit::EdgeRef; use crate::visit::IntoEdgeReferences; let m: Csr<(), _> = Csr::from_sorted_edges(&[ (0, 1, 0.5), (0, 2, 2.), (1, 0, 1.), (1, 1, 1.), (1, 2, 1.), (1, 3, 1.), (2, 3, 3.), (4, 5, 1.), (5, 7, 2.), (6, 7, 1.), (7, 8, 3.), ]) .unwrap(); let mut copy = Vec::new(); for e in m.edge_references() { copy.push((e.source(), e.target(), *e.weight())); println!("{:?}", e); } let m2: Csr<(), _> = Csr::from_sorted_edges(©).unwrap(); assert_eq!(&m.row, &m2.row); assert_eq!(&m.column, &m2.column); assert_eq!(&m.edges, &m2.edges); } #[test] fn test_add_node() { let mut g: Csr = Csr::new(); let a = g.add_node(()); let b = g.add_node(()); let c = g.add_node(()); assert!(g.add_edge(a, b, ())); assert!(g.add_edge(b, c, ())); assert!(g.add_edge(c, a, ())); println!("{:?}", g); assert_eq!(g.node_count(), 3); assert_eq!(g.neighbors_slice(a), &[b]); assert_eq!(g.neighbors_slice(b), &[c]); assert_eq!(g.neighbors_slice(c), &[a]); assert_eq!(g.edge_count(), 3); } #[test] fn test_add_node_with_existing_edges() { let mut g: Csr = Csr::new(); let a = g.add_node(()); let b = g.add_node(()); assert!(g.add_edge(a, b, ())); let c = g.add_node(()); println!("{:?}", g); assert_eq!(g.node_count(), 3); assert_eq!(g.neighbors_slice(a), &[b]); assert_eq!(g.neighbors_slice(b), &[]); assert_eq!(g.neighbors_slice(c), &[]); assert_eq!(g.edge_count(), 1); } #[test] fn test_node_references() { use crate::visit::IntoNodeReferences; let mut g: Csr<u32> = Csr::new(); g.add_node(42); g.add_node(3); g.add_node(44); let mut refs = g.node_references(); assert_eq!(refs.next(), Some((0, &42))); assert_eq!(refs.next(), Some((1, &3))); assert_eq!(refs.next(), Some((2, &44))); assert_eq!(refs.next(), None); } } �����������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/data.rs��������������������������������������������������������������������������0000644�0000000�0000000�00000031433�10461020230�0013517�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Graph traits for associated data and graph construction. use crate::graph::IndexType; #[cfg(feature = "graphmap")] use crate::graphmap::{GraphMap, NodeTrait}; #[cfg(feature = "stable_graph")] use crate::stable_graph::StableGraph; use crate::visit::{Data, NodeCount, NodeIndexable, Reversed}; use crate::EdgeType; use crate::Graph; trait_template! { /// Access node and edge weights (associated data). #[allow(clippy::needless_arbitrary_self_type)] pub trait DataMap : Data { @section self fn node_weight(self: &Self, id: Self::NodeId) -> Option<&Self::NodeWeight>; fn edge_weight(self: &Self, id: Self::EdgeId) -> Option<&Self::EdgeWeight>; } } macro_rules! access0 { ($e:expr) => { $e.0 }; } DataMap! {delegate_impl []} DataMap! {delegate_impl [['a, G], G, &'a mut G, deref_twice]} DataMap! {delegate_impl [[G], G, Reversed<G>, access0]} trait_template! { /// Access node and edge weights mutably. #[allow(clippy::needless_arbitrary_self_type)] pub trait DataMapMut : DataMap { @section self fn node_weight_mut(self: &mut Self, id: Self::NodeId) -> Option<&mut Self::NodeWeight>; fn edge_weight_mut(self: &mut Self, id: Self::EdgeId) -> Option<&mut Self::EdgeWeight>; } } DataMapMut! {delegate_impl [['a, G], G, &'a mut G, deref_twice]} DataMapMut! {delegate_impl [[G], G, Reversed<G>, access0]} /// A graph that can be extended with further nodes and edges pub trait Build: Data + NodeCount { fn add_node(&mut self, weight: Self::NodeWeight) -> Self::NodeId; /// Add a new edge. If parallel edges (duplicate) are not allowed and /// the edge already exists, return `None`. fn add_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Option<Self::EdgeId> { Some(self.update_edge(a, b, weight)) } /// Add or update the edge from `a` to `b`. Return the id of the affected /// edge. fn update_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Self::EdgeId; } /// A graph that can be created pub trait Create: Build + Default { fn with_capacity(nodes: usize, edges: usize) -> Self; } impl<N, E, Ty, Ix> Data for Graph<N, E, Ty, Ix> where Ix: IndexType, { type NodeWeight = N; type EdgeWeight = E; } impl<N, E, Ty, Ix> DataMap for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_weight(&self, id: Self::NodeId) -> Option<&Self::NodeWeight> { self.node_weight(id) } fn edge_weight(&self, id: Self::EdgeId) -> Option<&Self::EdgeWeight> { self.edge_weight(id) } } impl<N, E, Ty, Ix> DataMapMut for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_weight_mut(&mut self, id: Self::NodeId) -> Option<&mut Self::NodeWeight> { self.node_weight_mut(id) } fn edge_weight_mut(&mut self, id: Self::EdgeId) -> Option<&mut Self::EdgeWeight> { self.edge_weight_mut(id) } } #[cfg(feature = "stable_graph")] impl<N, E, Ty, Ix> DataMap for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_weight(&self, id: Self::NodeId) -> Option<&Self::NodeWeight> { self.node_weight(id) } fn edge_weight(&self, id: Self::EdgeId) -> Option<&Self::EdgeWeight> { self.edge_weight(id) } } #[cfg(feature = "stable_graph")] impl<N, E, Ty, Ix> DataMapMut for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_weight_mut(&mut self, id: Self::NodeId) -> Option<&mut Self::NodeWeight> { self.node_weight_mut(id) } fn edge_weight_mut(&mut self, id: Self::EdgeId) -> Option<&mut Self::EdgeWeight> { self.edge_weight_mut(id) } } impl<N, E, Ty, Ix> Build for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn add_node(&mut self, weight: Self::NodeWeight) -> Self::NodeId { self.add_node(weight) } fn add_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Option<Self::EdgeId> { Some(self.add_edge(a, b, weight)) } fn update_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Self::EdgeId { self.update_edge(a, b, weight) } } #[cfg(feature = "stable_graph")] impl<N, E, Ty, Ix> Build for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn add_node(&mut self, weight: Self::NodeWeight) -> Self::NodeId { self.add_node(weight) } fn add_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Option<Self::EdgeId> { Some(self.add_edge(a, b, weight)) } fn update_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Self::EdgeId { self.update_edge(a, b, weight) } } #[cfg(feature = "graphmap")] impl<N, E, Ty> Build for GraphMap<N, E, Ty> where Ty: EdgeType, N: NodeTrait, { fn add_node(&mut self, weight: Self::NodeWeight) -> Self::NodeId { self.add_node(weight) } fn add_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Option<Self::EdgeId> { if self.contains_edge(a, b) { None } else { let r = self.add_edge(a, b, weight); debug_assert!(r.is_none()); Some((a, b)) } } fn update_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Self::EdgeId { self.add_edge(a, b, weight); (a, b) } } impl<N, E, Ty, Ix> Create for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn with_capacity(nodes: usize, edges: usize) -> Self { Self::with_capacity(nodes, edges) } } #[cfg(feature = "stable_graph")] impl<N, E, Ty, Ix> Create for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn with_capacity(nodes: usize, edges: usize) -> Self { Self::with_capacity(nodes, edges) } } #[cfg(feature = "graphmap")] impl<N, E, Ty> Create for GraphMap<N, E, Ty> where Ty: EdgeType, N: NodeTrait, { fn with_capacity(nodes: usize, edges: usize) -> Self { Self::with_capacity(nodes, edges) } } /// A graph element. /// /// A sequence of Elements, for example an iterator, is laid out as follows: /// Nodes are implicitly given the index of their appearance in the sequence. /// The edges’ source and target fields refer to these indices. #[derive(Clone, Debug, PartialEq, Eq)] pub enum Element<N, E> { /// A graph node. Node { weight: N }, /// A graph edge. Edge { source: usize, target: usize, weight: E, }, } /// Create a graph from an iterator of elements. pub trait FromElements: Create { fn from_elements<I>(iterable: I) -> Self where Self: Sized, I: IntoIterator<Item = Element<Self::NodeWeight, Self::EdgeWeight>>, { let mut gr = Self::with_capacity(0, 0); // usize -> NodeId map let mut map = Vec::new(); for element in iterable { match element { Element::Node { weight } => { map.push(gr.add_node(weight)); } Element::Edge { source, target, weight, } => { gr.add_edge(map[source], map[target], weight); } } } gr } } fn from_elements_indexable<G, I>(iterable: I) -> G where G: Create + NodeIndexable, I: IntoIterator<Item = Element<G::NodeWeight, G::EdgeWeight>>, { let mut gr = G::with_capacity(0, 0); let map = |gr: &G, i| gr.from_index(i); for element in iterable { match element { Element::Node { weight } => { gr.add_node(weight); } Element::Edge { source, target, weight, } => { let from = map(&gr, source); let to = map(&gr, target); gr.add_edge(from, to, weight); } } } gr } impl<N, E, Ty, Ix> FromElements for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn from_elements<I>(iterable: I) -> Self where Self: Sized, I: IntoIterator<Item = Element<Self::NodeWeight, Self::EdgeWeight>>, { from_elements_indexable(iterable) } } #[cfg(feature = "stable_graph")] impl<N, E, Ty, Ix> FromElements for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn from_elements<I>(iterable: I) -> Self where Self: Sized, I: IntoIterator<Item = Element<Self::NodeWeight, Self::EdgeWeight>>, { from_elements_indexable(iterable) } } #[cfg(feature = "graphmap")] impl<N, E, Ty> FromElements for GraphMap<N, E, Ty> where Ty: EdgeType, N: NodeTrait, { fn from_elements<I>(iterable: I) -> Self where Self: Sized, I: IntoIterator<Item = Element<Self::NodeWeight, Self::EdgeWeight>>, { from_elements_indexable(iterable) } } /// Iterator adaptors for iterators of `Element`. pub trait ElementIterator<N, E>: Iterator<Item = Element<N, E>> { /// Create an iterator adaptor that filters graph elements. /// /// The function `f` is called with each element and if its return value /// is `true` the element is accepted and if `false` it is removed. /// `f` is called with mutable references to the node and edge weights, /// so that they can be mutated (but the edge endpoints can not). /// /// This filter adapts the edge source and target indices in the /// stream so that they are correct after the removals. fn filter_elements<F>(self, f: F) -> FilterElements<Self, F> where Self: Sized, F: FnMut(Element<&mut N, &mut E>) -> bool, { FilterElements { iter: self, node_index: 0, map: Vec::new(), f, } } } impl<N, E, I: ?Sized> ElementIterator<N, E> for I where I: Iterator<Item = Element<N, E>> {} /// An iterator that filters graph elements. /// /// See [`.filter_elements()`][1] for more information. /// /// [1]: trait.ElementIterator.html#method.filter_elements #[derive(Debug, Clone)] pub struct FilterElements<I, F> { iter: I, node_index: usize, map: Vec<usize>, f: F, } impl<I, F, N, E> Iterator for FilterElements<I, F> where I: Iterator<Item = Element<N, E>>, F: FnMut(Element<&mut N, &mut E>) -> bool, { type Item = Element<N, E>; fn next(&mut self) -> Option<Self::Item> { loop { let mut elt = match self.iter.next() { None => return None, Some(elt) => elt, }; let keep = (self.f)(match elt { Element::Node { ref mut weight } => Element::Node { weight }, Element::Edge { source, target, ref mut weight, } => Element::Edge { source, target, weight, }, }); let is_node = if let Element::Node { .. } = elt { true } else { false }; if !keep && is_node { self.map.push(self.node_index); } if is_node { self.node_index += 1; } if !keep { continue; } // map edge parts match elt { Element::Edge { ref mut source, ref mut target, .. } => { // Find the node indices in the map of removed ones. // If a node was removed, the edge is as well. // Otherwise the counts are adjusted by the number of nodes // removed. // Example: map: [1, 3, 4, 6] // binary search for 2, result is Err(1). One node has been // removed before 2. match self.map.binary_search(source) { Ok(_) => continue, Err(i) => *source -= i, } match self.map.binary_search(target) { Ok(_) => continue, Err(i) => *target -= i, } } Element::Node { .. } => {} } return Some(elt); } } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/dot.rs���������������������������������������������������������������������������0000644�0000000�0000000�00000023547�10461020230�0013403�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Simple graphviz dot file format output. use std::fmt::{self, Display, Write}; use crate::visit::{ EdgeRef, GraphProp, IntoEdgeReferences, IntoNodeReferences, NodeIndexable, NodeRef, }; /// `Dot` implements output to graphviz .dot format for a graph. /// /// Formatting and options are rather simple, this is mostly intended /// for debugging. Exact output may change. /// /// # Examples /// /// ``` /// use petgraph::Graph; /// use petgraph::dot::{Dot, Config}; /// /// let mut graph = Graph::<_, ()>::new(); /// graph.add_node("A"); /// graph.add_node("B"); /// graph.add_node("C"); /// graph.add_node("D"); /// graph.extend_with_edges(&[ /// (0, 1), (0, 2), (0, 3), /// (1, 2), (1, 3), /// (2, 3), /// ]); /// /// println!("{:?}", Dot::with_config(&graph, &[Config::EdgeNoLabel])); /// /// // In this case the output looks like this: /// // /// // digraph { /// // 0 [label="\"A\""] /// // 1 [label="\"B\""] /// // 2 [label="\"C\""] /// // 3 [label="\"D\""] /// // 0 -> 1 /// // 0 -> 2 /// // 0 -> 3 /// // 1 -> 2 /// // 1 -> 3 /// // 2 -> 3 /// // } /// /// // If you need multiple config options, just list them all in the slice. /// ``` pub struct Dot<'a, G> where G: IntoEdgeReferences + IntoNodeReferences, { graph: G, get_edge_attributes: &'a dyn Fn(G, G::EdgeRef) -> String, get_node_attributes: &'a dyn Fn(G, G::NodeRef) -> String, config: Configs, } static TYPE: [&str; 2] = ["graph", "digraph"]; static EDGE: [&str; 2] = ["--", "->"]; static INDENT: &str = " "; impl<'a, G> Dot<'a, G> where G: IntoNodeReferences + IntoEdgeReferences, { /// Create a `Dot` formatting wrapper with default configuration. #[inline] pub fn new(graph: G) -> Self { Self::with_config(graph, &[]) } /// Create a `Dot` formatting wrapper with custom configuration. #[inline] pub fn with_config(graph: G, config: &'a [Config]) -> Self { Self::with_attr_getters(graph, config, &|_, _| String::new(), &|_, _| String::new()) } #[inline] pub fn with_attr_getters( graph: G, config: &'a [Config], get_edge_attributes: &'a dyn Fn(G, G::EdgeRef) -> String, get_node_attributes: &'a dyn Fn(G, G::NodeRef) -> String, ) -> Self { let config = Configs::extract(config); Dot { graph, get_edge_attributes, get_node_attributes, config, } } } /// `Dot` configuration. /// /// This enum does not have an exhaustive definition (will be expanded) // TODO: #[non_exhaustive] once MSRV >= 1.40, // and/or for a breaking change make this something like an EnumSet: https://docs.rs/enumset #[derive(Debug, PartialEq, Eq)] pub enum Config { /// Use indices for node labels. NodeIndexLabel, /// Use indices for edge labels. EdgeIndexLabel, /// Use no edge labels. EdgeNoLabel, /// Use no node labels. NodeNoLabel, /// Do not print the graph/digraph string. GraphContentOnly, #[doc(hidden)] _Incomplete(()), } macro_rules! make_config_struct { ($($variant:ident,)*) => { #[allow(non_snake_case)] #[derive(Default)] struct Configs { $($variant: bool,)* } impl Configs { #[inline] fn extract(configs: &[Config]) -> Self { let mut conf = Self::default(); for c in configs { match *c { $(Config::$variant => conf.$variant = true,)* Config::_Incomplete(()) => {} } } conf } } } } make_config_struct!( NodeIndexLabel, EdgeIndexLabel, EdgeNoLabel, NodeNoLabel, GraphContentOnly, ); impl<'a, G> Dot<'a, G> where G: IntoNodeReferences + IntoEdgeReferences + NodeIndexable + GraphProp, { fn graph_fmt<NF, EF>(&self, f: &mut fmt::Formatter, node_fmt: NF, edge_fmt: EF) -> fmt::Result where NF: Fn(&G::NodeWeight, &mut fmt::Formatter) -> fmt::Result, EF: Fn(&G::EdgeWeight, &mut fmt::Formatter) -> fmt::Result, { let g = self.graph; if !self.config.GraphContentOnly { writeln!(f, "{} {{", TYPE[g.is_directed() as usize])?; } // output all labels for node in g.node_references() { write!(f, "{}{} [ ", INDENT, g.to_index(node.id()),)?; if !self.config.NodeNoLabel { write!(f, "label = \"")?; if self.config.NodeIndexLabel { write!(f, "{}", g.to_index(node.id()))?; } else { Escaped(FnFmt(node.weight(), &node_fmt)).fmt(f)?; } write!(f, "\" ")?; } writeln!(f, "{}]", (self.get_node_attributes)(g, node))?; } // output all edges for (i, edge) in g.edge_references().enumerate() { write!( f, "{}{} {} {} [ ", INDENT, g.to_index(edge.source()), EDGE[g.is_directed() as usize], g.to_index(edge.target()), )?; if !self.config.EdgeNoLabel { write!(f, "label = \"")?; if self.config.EdgeIndexLabel { write!(f, "{}", i)?; } else { Escaped(FnFmt(edge.weight(), &edge_fmt)).fmt(f)?; } write!(f, "\" ")?; } writeln!(f, "{}]", (self.get_edge_attributes)(g, edge))?; } if !self.config.GraphContentOnly { writeln!(f, "}}")?; } Ok(()) } } impl<'a, G> fmt::Display for Dot<'a, G> where G: IntoEdgeReferences + IntoNodeReferences + NodeIndexable + GraphProp, G::EdgeWeight: fmt::Display, G::NodeWeight: fmt::Display, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.graph_fmt(f, fmt::Display::fmt, fmt::Display::fmt) } } impl<'a, G> fmt::Debug for Dot<'a, G> where G: IntoEdgeReferences + IntoNodeReferences + NodeIndexable + GraphProp, G::EdgeWeight: fmt::Debug, G::NodeWeight: fmt::Debug, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.graph_fmt(f, fmt::Debug::fmt, fmt::Debug::fmt) } } /// Escape for Graphviz struct Escaper<W>(W); impl<W> fmt::Write for Escaper<W> where W: fmt::Write, { fn write_str(&mut self, s: &str) -> fmt::Result { for c in s.chars() { self.write_char(c)?; } Ok(()) } fn write_char(&mut self, c: char) -> fmt::Result { match c { '"' | '\\' => self.0.write_char('\\')?, // \l is for left justified linebreak '\n' => return self.0.write_str("\\l"), _ => {} } self.0.write_char(c) } } /// Pass Display formatting through a simple escaping filter struct Escaped<T>(T); impl<T> fmt::Display for Escaped<T> where T: fmt::Display, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { if f.alternate() { writeln!(&mut Escaper(f), "{:#}", &self.0) } else { write!(&mut Escaper(f), "{}", &self.0) } } } /// Format data using a specific format function struct FnFmt<'a, T, F>(&'a T, F); impl<'a, T, F> fmt::Display for FnFmt<'a, T, F> where F: Fn(&'a T, &mut fmt::Formatter<'_>) -> fmt::Result, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.1(self.0, f) } } #[cfg(test)] mod test { use super::{Config, Dot, Escaper}; use crate::prelude::Graph; use crate::visit::NodeRef; use std::fmt::Write; #[test] fn test_escape() { let mut buff = String::new(); { let mut e = Escaper(&mut buff); let _ = e.write_str("\" \\ \n"); } assert_eq!(buff, "\\\" \\\\ \\l"); } fn simple_graph() -> Graph<&'static str, &'static str> { let mut graph = Graph::<&str, &str>::new(); let a = graph.add_node("A"); let b = graph.add_node("B"); graph.add_edge(a, b, "edge_label"); graph } #[test] fn test_nodeindexlable_option() { let graph = simple_graph(); let dot = format!("{:?}", Dot::with_config(&graph, &[Config::NodeIndexLabel])); assert_eq!(dot, "digraph {\n 0 [ label = \"0\" ]\n 1 [ label = \"1\" ]\n 0 -> 1 [ label = \"\\\"edge_label\\\"\" ]\n}\n"); } #[test] fn test_edgeindexlable_option() { let graph = simple_graph(); let dot = format!("{:?}", Dot::with_config(&graph, &[Config::EdgeIndexLabel])); assert_eq!(dot, "digraph {\n 0 [ label = \"\\\"A\\\"\" ]\n 1 [ label = \"\\\"B\\\"\" ]\n 0 -> 1 [ label = \"0\" ]\n}\n"); } #[test] fn test_edgenolable_option() { let graph = simple_graph(); let dot = format!("{:?}", Dot::with_config(&graph, &[Config::EdgeNoLabel])); assert_eq!(dot, "digraph {\n 0 [ label = \"\\\"A\\\"\" ]\n 1 [ label = \"\\\"B\\\"\" ]\n 0 -> 1 [ ]\n}\n"); } #[test] fn test_nodenolable_option() { let graph = simple_graph(); let dot = format!("{:?}", Dot::with_config(&graph, &[Config::NodeNoLabel])); assert_eq!( dot, "digraph {\n 0 [ ]\n 1 [ ]\n 0 -> 1 [ label = \"\\\"edge_label\\\"\" ]\n}\n" ); } #[test] fn test_with_attr_getters() { let graph = simple_graph(); let dot = format!( "{:?}", Dot::with_attr_getters( &graph, &[Config::NodeNoLabel, Config::EdgeNoLabel], &|_, er| format!("label = \"{}\"", er.weight().to_uppercase()), &|_, nr| format!("label = \"{}\"", nr.weight().to_lowercase()), ), ); assert_eq!(dot, "digraph {\n 0 [ label = \"a\"]\n 1 [ label = \"b\"]\n 0 -> 1 [ label = \"EDGE_LABEL\"]\n}\n"); } } ���������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/generate.rs����������������������������������������������������������������������0000644�0000000�0000000�00000007572�10461020230�0014407�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! ***Unstable.*** Graph generation. //! //! ***Unstable: API may change at any time.*** Depends on `feature = "generate"`. //! use crate::graph::NodeIndex; use crate::{Directed, EdgeType, Graph}; // A DAG has the property that the adjacency matrix is lower triangular, // diagonal zero. // // This means we only allow edges i → j where i < j. // // The set of all DAG of a particular size is simply the power set of all // possible edges. // // For a graph of n=3 nodes we have (n - 1) * n / 2 = 3 possible edges. /// A graph generator of “all” graphs of a particular size. /// /// ***Unstable: API may change at any time.*** Depends on `feature = "generate"`. pub struct Generator<Ty> { acyclic: bool, selfloops: bool, nodes: usize, /// number of possible edges nedges: usize, /// current edge bitmap bits: u64, g: Graph<(), (), Ty>, } impl Generator<Directed> { /// Generate all possible Directed acyclic graphs (DAGs) of a particular number of vertices. /// /// These are only generated with one per isomorphism, so they use /// one canonical node labeling where node *i* can only have edges to node *j* if *i < j*. /// /// For a graph of *k* vertices there are *e = (k - 1) k / 2* possible edges and /// *2<sup>e</sup>* DAGs. pub fn directed_acyclic(nodes: usize) -> Self { assert!(nodes != 0); let nedges = (nodes - 1) * nodes / 2; assert!(nedges < 64); Generator { acyclic: true, selfloops: false, nodes: nodes, nedges: nedges, bits: !0, g: Graph::with_capacity(nodes, nedges), } } } impl<Ty: EdgeType> Generator<Ty> { /// Generate all possible graphs of a particular number of vertices. /// /// All permutations are generated, so the graphs are not unique down to isomorphism. /// /// For a graph of *k* vertices there are *e = k²* possible edges and /// *2<sup>k<sup>2</sup></sup>* graphs. pub fn all(nodes: usize, allow_selfloops: bool) -> Self { let scale = if Ty::is_directed() { 1 } else { 2 }; let nedges = if allow_selfloops { (nodes * nodes - nodes) / scale + nodes } else { (nodes * nodes) / scale - nodes }; assert!(nedges < 64); Generator { acyclic: false, selfloops: allow_selfloops, nodes: nodes, nedges: nedges, bits: !0, g: Graph::with_capacity(nodes, nedges), } } fn state_to_graph(&mut self) -> &Graph<(), (), Ty> { self.g.clear(); for _ in 0..self.nodes { self.g.add_node(()); } // For a DAG: // interpret the bits in order, it's a lower triangular matrix: // a b c d // a x x x x // b 0 x x x // c 1 2 x x // d 3 4 5 x let mut bit = 0; for i in 0..self.nodes { let start = if self.acyclic || !self.g.is_directed() { i } else { 0 }; for j in start..self.nodes { if i == j && !self.selfloops { continue; } if self.bits & (1u64 << bit) != 0 { self.g.add_edge(NodeIndex::new(i), NodeIndex::new(j), ()); } bit += 1; } } &self.g } pub fn next_ref(&mut self) -> Option<&Graph<(), (), Ty>> { if self.bits == !0 { self.bits = 0; } else { self.bits += 1; if self.bits >= 1u64 << self.nedges { return None; } } Some(self.state_to_graph()) } } impl<Ty: EdgeType> Iterator for Generator<Ty> { type Item = Graph<(), (), Ty>; fn next(&mut self) -> Option<Self::Item> { self.next_ref().cloned() } } ��������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/graph_impl/frozen.rs�������������������������������������������������������������0000644�0000000�0000000�00000006627�10461020230�0016242�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::ops::{Deref, Index, IndexMut}; use super::Frozen; use crate::data::{DataMap, DataMapMut}; use crate::graph::Graph; use crate::graph::{GraphIndex, IndexType}; use crate::visit::{ Data, EdgeCount, EdgeIndexable, GetAdjacencyMatrix, GraphBase, GraphProp, IntoEdges, IntoEdgesDirected, IntoNeighborsDirected, IntoNodeIdentifiers, NodeCompactIndexable, NodeCount, NodeIndexable, }; use crate::visit::{IntoEdgeReferences, IntoNeighbors, IntoNodeReferences, Visitable}; use crate::{Direction, EdgeType}; impl<'a, G> Frozen<'a, G> { /// Create a new `Frozen` from a mutable reference to a graph. pub fn new(gr: &'a mut G) -> Self { Frozen(gr) } } /// Deref allows transparent access to all shared reference (read-only) /// functionality in the underlying graph. impl<'a, G> Deref for Frozen<'a, G> { type Target = G; fn deref(&self) -> &G { self.0 } } impl<'a, G, I> Index<I> for Frozen<'a, G> where G: Index<I>, { type Output = G::Output; fn index(&self, i: I) -> &G::Output { self.0.index(i) } } impl<'a, G, I> IndexMut<I> for Frozen<'a, G> where G: IndexMut<I>, { fn index_mut(&mut self, i: I) -> &mut G::Output { self.0.index_mut(i) } } impl<'a, N, E, Ty, Ix> Frozen<'a, Graph<N, E, Ty, Ix>> where Ty: EdgeType, Ix: IndexType, { #[allow(clippy::type_complexity)] /// Index the `Graph` by two indices, any combination of /// node or edge indices is fine. /// /// **Panics** if the indices are equal or if they are out of bounds. pub fn index_twice_mut<T, U>( &mut self, i: T, j: U, ) -> ( &mut <Graph<N, E, Ty, Ix> as Index<T>>::Output, &mut <Graph<N, E, Ty, Ix> as Index<U>>::Output, ) where Graph<N, E, Ty, Ix>: IndexMut<T> + IndexMut<U>, T: GraphIndex, U: GraphIndex, { self.0.index_twice_mut(i, j) } } macro_rules! access0 { ($e:expr) => { $e.0 }; } impl<'a, G> GraphBase for Frozen<'a, G> where G: GraphBase, { type NodeId = G::NodeId; type EdgeId = G::EdgeId; } Data! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} DataMap! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} DataMapMut! {delegate_impl [['a, G], G, Frozen<'a, G>, access0]} GetAdjacencyMatrix! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} IntoEdgeReferences! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} IntoEdges! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} IntoEdgesDirected! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} IntoNeighbors! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} IntoNeighborsDirected! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} IntoNodeIdentifiers! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} IntoNodeReferences! {delegate_impl [['a, 'b, G], G, &'b Frozen<'a, G>, deref_twice]} NodeCompactIndexable! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} NodeCount! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} NodeIndexable! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} EdgeCount! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} EdgeIndexable! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} GraphProp! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} Visitable! {delegate_impl [['a, G], G, Frozen<'a, G>, deref_twice]} ���������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/graph_impl/mod.rs����������������������������������������������������������������0000644�0000000�0000000�00000214154�10461020230�0015512�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::cmp; use std::fmt; use std::hash::Hash; use std::iter; use std::marker::PhantomData; use std::mem::size_of; use std::ops::{Index, IndexMut, Range}; use std::slice; use fixedbitset::FixedBitSet; use crate::{Directed, Direction, EdgeType, Incoming, IntoWeightedEdge, Outgoing, Undirected}; use crate::iter_format::{DebugMap, IterFormatExt, NoPretty}; use crate::util::enumerate; use crate::visit; #[cfg(feature = "serde-1")] mod serialization; /// The default integer type for graph indices. /// `u32` is the default to reduce the size of the graph's data and improve /// performance in the common case. /// /// Used for node and edge indices in `Graph` and `StableGraph`, used /// for node indices in `Csr`. pub type DefaultIx = u32; /// Trait for the unsigned integer type used for node and edge indices. /// /// Marked `unsafe` because: the trait must faithfully preserve /// and convert index values. pub unsafe trait IndexType: Copy + Default + Hash + Ord + fmt::Debug + 'static { fn new(x: usize) -> Self; fn index(&self) -> usize; fn max() -> Self; } unsafe impl IndexType for usize { #[inline(always)] fn new(x: usize) -> Self { x } #[inline(always)] fn index(&self) -> Self { *self } #[inline(always)] fn max() -> Self { ::std::usize::MAX } } unsafe impl IndexType for u32 { #[inline(always)] fn new(x: usize) -> Self { x as u32 } #[inline(always)] fn index(&self) -> usize { *self as usize } #[inline(always)] fn max() -> Self { ::std::u32::MAX } } unsafe impl IndexType for u16 { #[inline(always)] fn new(x: usize) -> Self { x as u16 } #[inline(always)] fn index(&self) -> usize { *self as usize } #[inline(always)] fn max() -> Self { ::std::u16::MAX } } unsafe impl IndexType for u8 { #[inline(always)] fn new(x: usize) -> Self { x as u8 } #[inline(always)] fn index(&self) -> usize { *self as usize } #[inline(always)] fn max() -> Self { ::std::u8::MAX } } /// Node identifier. #[derive(Copy, Clone, Default, PartialEq, PartialOrd, Eq, Ord, Hash)] pub struct NodeIndex<Ix = DefaultIx>(Ix); impl<Ix: IndexType> NodeIndex<Ix> { #[inline] pub fn new(x: usize) -> Self { NodeIndex(IndexType::new(x)) } #[inline] pub fn index(self) -> usize { self.0.index() } #[inline] pub fn end() -> Self { NodeIndex(IndexType::max()) } fn _into_edge(self) -> EdgeIndex<Ix> { EdgeIndex(self.0) } } unsafe impl<Ix: IndexType> IndexType for NodeIndex<Ix> { fn index(&self) -> usize { self.0.index() } fn new(x: usize) -> Self { NodeIndex::new(x) } fn max() -> Self { NodeIndex(<Ix as IndexType>::max()) } } impl<Ix: IndexType> From<Ix> for NodeIndex<Ix> { fn from(ix: Ix) -> Self { NodeIndex(ix) } } impl<Ix: fmt::Debug> fmt::Debug for NodeIndex<Ix> { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { write!(f, "NodeIndex({:?})", self.0) } } /// Short version of `NodeIndex::new` pub fn node_index<Ix: IndexType>(index: usize) -> NodeIndex<Ix> { NodeIndex::new(index) } /// Short version of `EdgeIndex::new` pub fn edge_index<Ix: IndexType>(index: usize) -> EdgeIndex<Ix> { EdgeIndex::new(index) } /// Edge identifier. #[derive(Copy, Clone, Default, PartialEq, PartialOrd, Eq, Ord, Hash)] pub struct EdgeIndex<Ix = DefaultIx>(Ix); impl<Ix: IndexType> EdgeIndex<Ix> { #[inline] pub fn new(x: usize) -> Self { EdgeIndex(IndexType::new(x)) } #[inline] pub fn index(self) -> usize { self.0.index() } /// An invalid `EdgeIndex` used to denote absence of an edge, for example /// to end an adjacency list. #[inline] pub fn end() -> Self { EdgeIndex(IndexType::max()) } fn _into_node(self) -> NodeIndex<Ix> { NodeIndex(self.0) } } impl<Ix: IndexType> From<Ix> for EdgeIndex<Ix> { fn from(ix: Ix) -> Self { EdgeIndex(ix) } } impl<Ix: fmt::Debug> fmt::Debug for EdgeIndex<Ix> { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { write!(f, "EdgeIndex({:?})", self.0) } } /* * FIXME: Use this impl again, when we don't need to add so many bounds impl<Ix: IndexType> fmt::Debug for EdgeIndex<Ix> { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { try!(write!(f, "EdgeIndex(")); if *self == EdgeIndex::end() { try!(write!(f, "End")); } else { try!(write!(f, "{}", self.index())); } write!(f, ")") } } */ const DIRECTIONS: [Direction; 2] = [Outgoing, Incoming]; /// The graph's node type. #[derive(Debug)] pub struct Node<N, Ix = DefaultIx> { /// Associated node data. pub weight: N, /// Next edge in outgoing and incoming edge lists. next: [EdgeIndex<Ix>; 2], } impl<E, Ix> Clone for Node<E, Ix> where E: Clone, Ix: Copy, { clone_fields!(Node, weight, next,); } impl<N, Ix: IndexType> Node<N, Ix> { /// Accessor for data structure internals: the first edge in the given direction. pub fn next_edge(&self, dir: Direction) -> EdgeIndex<Ix> { self.next[dir.index()] } } /// The graph's edge type. #[derive(Debug)] pub struct Edge<E, Ix = DefaultIx> { /// Associated edge data. pub weight: E, /// Next edge in outgoing and incoming edge lists. next: [EdgeIndex<Ix>; 2], /// Start and End node index node: [NodeIndex<Ix>; 2], } impl<E, Ix> Clone for Edge<E, Ix> where E: Clone, Ix: Copy, { clone_fields!(Edge, weight, next, node,); } impl<E, Ix: IndexType> Edge<E, Ix> { /// Accessor for data structure internals: the next edge for the given direction. pub fn next_edge(&self, dir: Direction) -> EdgeIndex<Ix> { self.next[dir.index()] } /// Return the source node index. pub fn source(&self) -> NodeIndex<Ix> { self.node[0] } /// Return the target node index. pub fn target(&self) -> NodeIndex<Ix> { self.node[1] } } /// `Graph<N, E, Ty, Ix>` is a graph datastructure using an adjacency list representation. /// /// `Graph` is parameterized over: /// /// - Associated data `N` for nodes and `E` for edges, called *weights*. /// The associated data can be of arbitrary type. /// - Edge type `Ty` that determines whether the graph edges are directed or undirected. /// - Index type `Ix`, which determines the maximum size of the graph. /// /// The `Graph` is a regular Rust collection and is `Send` and `Sync` (as long /// as associated data `N` and `E` are). /// /// The graph uses **O(|V| + |E|)** space, and allows fast node and edge insert, /// efficient graph search and graph algorithms. /// It implements **O(e')** edge lookup and edge and node removals, where **e'** /// is some local measure of edge count. /// Based on the graph datastructure used in rustc. /// /// Here's an example of building a graph with directed edges, and below /// an illustration of how it could be rendered with graphviz (see /// [`Dot`](../dot/struct.Dot.html)): /// /// ``` /// use petgraph::Graph; /// /// let mut deps = Graph::<&str, &str>::new(); /// let pg = deps.add_node("petgraph"); /// let fb = deps.add_node("fixedbitset"); /// let qc = deps.add_node("quickcheck"); /// let rand = deps.add_node("rand"); /// let libc = deps.add_node("libc"); /// deps.extend_with_edges(&[ /// (pg, fb), (pg, qc), /// (qc, rand), (rand, libc), (qc, libc), /// ]); /// ``` /// /// ![graph-example](https://bluss.github.io/ndarray/images/graph-example.svg) /// /// ### Graph Indices /// /// The graph maintains indices for nodes and edges, and node and edge /// weights may be accessed mutably. Indices range in a compact interval, for /// example for *n* nodes indices are 0 to *n* - 1 inclusive. /// /// `NodeIndex` and `EdgeIndex` are types that act as references to nodes and edges, /// but these are only stable across certain operations: /// /// * **Removing nodes or edges may shift other indices.** Removing a node will /// force the last node to shift its index to take its place. Similarly, /// removing an edge shifts the index of the last edge. /// * Adding nodes or edges keeps indices stable. /// /// The `Ix` parameter is `u32` by default. The goal is that you can ignore this parameter /// completely unless you need a very big graph -- then you can use `usize`. /// /// * The fact that the node and edge indices in the graph each are numbered in compact /// intervals (from 0 to *n* - 1 for *n* nodes) simplifies some graph algorithms. /// /// * You can select graph index integer type after the size of the graph. A smaller /// size may have better performance. /// /// * Using indices allows mutation while traversing the graph, see `Dfs`, /// and `.neighbors(a).detach()`. /// /// * You can create several graphs using the equal node indices but with /// differing weights or differing edges. /// /// * Indices don't allow as much compile time checking as references. /// pub struct Graph<N, E, Ty = Directed, Ix = DefaultIx> { nodes: Vec<Node<N, Ix>>, edges: Vec<Edge<E, Ix>>, ty: PhantomData<Ty>, } /// A `Graph` with directed edges. /// /// For example, an edge from *1* to *2* is distinct from an edge from *2* to /// *1*. pub type DiGraph<N, E, Ix = DefaultIx> = Graph<N, E, Directed, Ix>; /// A `Graph` with undirected edges. /// /// For example, an edge between *1* and *2* is equivalent to an edge between /// *2* and *1*. pub type UnGraph<N, E, Ix = DefaultIx> = Graph<N, E, Undirected, Ix>; /// The resulting cloned graph has the same graph indices as `self`. impl<N, E, Ty, Ix: IndexType> Clone for Graph<N, E, Ty, Ix> where N: Clone, E: Clone, { fn clone(&self) -> Self { Graph { nodes: self.nodes.clone(), edges: self.edges.clone(), ty: self.ty, } } fn clone_from(&mut self, rhs: &Self) { self.nodes.clone_from(&rhs.nodes); self.edges.clone_from(&rhs.edges); self.ty = rhs.ty; } } impl<N, E, Ty, Ix> fmt::Debug for Graph<N, E, Ty, Ix> where N: fmt::Debug, E: fmt::Debug, Ty: EdgeType, Ix: IndexType, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { let etype = if self.is_directed() { "Directed" } else { "Undirected" }; let mut fmt_struct = f.debug_struct("Graph"); fmt_struct.field("Ty", &etype); fmt_struct.field("node_count", &self.node_count()); fmt_struct.field("edge_count", &self.edge_count()); if self.edge_count() > 0 { fmt_struct.field( "edges", &self .edges .iter() .map(|e| NoPretty((e.source().index(), e.target().index()))) .format(", "), ); } // skip weights if they are ZST! if size_of::<N>() != 0 { fmt_struct.field( "node weights", &DebugMap(|| self.nodes.iter().map(|n| &n.weight).enumerate()), ); } if size_of::<E>() != 0 { fmt_struct.field( "edge weights", &DebugMap(|| self.edges.iter().map(|n| &n.weight).enumerate()), ); } fmt_struct.finish() } } enum Pair<T> { Both(T, T), One(T), None, } use std::cmp::max; /// Get mutable references at index `a` and `b`. fn index_twice<T>(slc: &mut [T], a: usize, b: usize) -> Pair<&mut T> { if max(a, b) >= slc.len() { Pair::None } else if a == b { Pair::One(&mut slc[max(a, b)]) } else { // safe because a, b are in bounds and distinct unsafe { let ptr = slc.as_mut_ptr(); let ar = &mut *ptr.add(a); let br = &mut *ptr.add(b); Pair::Both(ar, br) } } } impl<N, E> Graph<N, E, Directed> { /// Create a new `Graph` with directed edges. /// /// This is a convenience method. Use `Graph::with_capacity` or `Graph::default` for /// a constructor that is generic in all the type parameters of `Graph`. pub fn new() -> Self { Graph { nodes: Vec::new(), edges: Vec::new(), ty: PhantomData, } } } impl<N, E> Graph<N, E, Undirected> { /// Create a new `Graph` with undirected edges. /// /// This is a convenience method. Use `Graph::with_capacity` or `Graph::default` for /// a constructor that is generic in all the type parameters of `Graph`. pub fn new_undirected() -> Self { Graph { nodes: Vec::new(), edges: Vec::new(), ty: PhantomData, } } } impl<N, E, Ty, Ix> Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { /// Create a new `Graph` with estimated capacity. pub fn with_capacity(nodes: usize, edges: usize) -> Self { Graph { nodes: Vec::with_capacity(nodes), edges: Vec::with_capacity(edges), ty: PhantomData, } } /// Return the number of nodes (vertices) in the graph. /// /// Computes in **O(1)** time. pub fn node_count(&self) -> usize { self.nodes.len() } /// Return the number of edges in the graph. /// /// Computes in **O(1)** time. pub fn edge_count(&self) -> usize { self.edges.len() } /// Whether the graph has directed edges or not. #[inline] pub fn is_directed(&self) -> bool { Ty::is_directed() } /// Add a node (also called vertex) with associated data `weight` to the graph. /// /// Computes in **O(1)** time. /// /// Return the index of the new node. /// /// **Panics** if the Graph is at the maximum number of nodes for its index /// type (N/A if usize). pub fn add_node(&mut self, weight: N) -> NodeIndex<Ix> { let node = Node { weight, next: [EdgeIndex::end(), EdgeIndex::end()], }; let node_idx = NodeIndex::new(self.nodes.len()); // check for max capacity, except if we use usize assert!(<Ix as IndexType>::max().index() == !0 || NodeIndex::end() != node_idx); self.nodes.push(node); node_idx } /// Access the weight for node `a`. /// /// If node `a` doesn't exist in the graph, return `None`. /// Also available with indexing syntax: `&graph[a]`. pub fn node_weight(&self, a: NodeIndex<Ix>) -> Option<&N> { self.nodes.get(a.index()).map(|n| &n.weight) } /// Access the weight for node `a`, mutably. /// /// If node `a` doesn't exist in the graph, return `None`. /// Also available with indexing syntax: `&mut graph[a]`. pub fn node_weight_mut(&mut self, a: NodeIndex<Ix>) -> Option<&mut N> { self.nodes.get_mut(a.index()).map(|n| &mut n.weight) } /// Add an edge from `a` to `b` to the graph, with its associated /// data `weight`. /// /// Return the index of the new edge. /// /// Computes in **O(1)** time. /// /// **Panics** if any of the nodes don't exist.<br> /// **Panics** if the Graph is at the maximum number of edges for its index /// type (N/A if usize). /// /// **Note:** `Graph` allows adding parallel (“duplicate”) edges. If you want /// to avoid this, use [`.update_edge(a, b, weight)`](#method.update_edge) instead. pub fn add_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> EdgeIndex<Ix> { let edge_idx = EdgeIndex::new(self.edges.len()); assert!(<Ix as IndexType>::max().index() == !0 || EdgeIndex::end() != edge_idx); let mut edge = Edge { weight, node: [a, b], next: [EdgeIndex::end(); 2], }; match index_twice(&mut self.nodes, a.index(), b.index()) { Pair::None => panic!("Graph::add_edge: node indices out of bounds"), Pair::One(an) => { edge.next = an.next; an.next[0] = edge_idx; an.next[1] = edge_idx; } Pair::Both(an, bn) => { // a and b are different indices edge.next = [an.next[0], bn.next[1]]; an.next[0] = edge_idx; bn.next[1] = edge_idx; } } self.edges.push(edge); edge_idx } /// Add or update an edge from `a` to `b`. /// If the edge already exists, its weight is updated. /// /// Return the index of the affected edge. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to `a` (and `b`, if the graph edges are undirected). /// /// **Panics** if any of the nodes doesn't exist. pub fn update_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> EdgeIndex<Ix> { if let Some(ix) = self.find_edge(a, b) { if let Some(ed) = self.edge_weight_mut(ix) { *ed = weight; return ix; } } self.add_edge(a, b, weight) } /// Access the weight for edge `e`. /// /// If edge `e` doesn't exist in the graph, return `None`. /// Also available with indexing syntax: `&graph[e]`. pub fn edge_weight(&self, e: EdgeIndex<Ix>) -> Option<&E> { self.edges.get(e.index()).map(|ed| &ed.weight) } /// Access the weight for edge `e`, mutably. /// /// If edge `e` doesn't exist in the graph, return `None`. /// Also available with indexing syntax: `&mut graph[e]`. pub fn edge_weight_mut(&mut self, e: EdgeIndex<Ix>) -> Option<&mut E> { self.edges.get_mut(e.index()).map(|ed| &mut ed.weight) } /// Access the source and target nodes for `e`. /// /// If edge `e` doesn't exist in the graph, return `None`. pub fn edge_endpoints(&self, e: EdgeIndex<Ix>) -> Option<(NodeIndex<Ix>, NodeIndex<Ix>)> { self.edges .get(e.index()) .map(|ed| (ed.source(), ed.target())) } /// Remove `a` from the graph if it exists, and return its weight. /// If it doesn't exist in the graph, return `None`. /// /// Apart from `a`, this invalidates the last node index in the graph /// (that node will adopt the removed node index). Edge indices are /// invalidated as they would be following the removal of each edge /// with an endpoint in `a`. /// /// Computes in **O(e')** time, where **e'** is the number of affected /// edges, including *n* calls to `.remove_edge()` where *n* is the number /// of edges with an endpoint in `a`, and including the edges with an /// endpoint in the displaced node. pub fn remove_node(&mut self, a: NodeIndex<Ix>) -> Option<N> { self.nodes.get(a.index())?; for d in &DIRECTIONS { let k = d.index(); // Remove all edges from and to this node. loop { let next = self.nodes[a.index()].next[k]; if next == EdgeIndex::end() { break; } let ret = self.remove_edge(next); debug_assert!(ret.is_some()); let _ = ret; } } // Use swap_remove -- only the swapped-in node is going to change // NodeIndex<Ix>, so we only have to walk its edges and update them. let node = self.nodes.swap_remove(a.index()); // Find the edge lists of the node that had to relocate. // It may be that no node had to relocate, then we are done already. let swap_edges = match self.nodes.get(a.index()) { None => return Some(node.weight), Some(ed) => ed.next, }; // The swapped element's old index let old_index = NodeIndex::new(self.nodes.len()); let new_index = a; // Adjust the starts of the out edges, and ends of the in edges. for &d in &DIRECTIONS { let k = d.index(); let mut edges = edges_walker_mut(&mut self.edges, swap_edges[k], d); while let Some(curedge) = edges.next_edge() { debug_assert!(curedge.node[k] == old_index); curedge.node[k] = new_index; } } Some(node.weight) } /// For edge `e` with endpoints `edge_node`, replace links to it, /// with links to `edge_next`. fn change_edge_links( &mut self, edge_node: [NodeIndex<Ix>; 2], e: EdgeIndex<Ix>, edge_next: [EdgeIndex<Ix>; 2], ) { for &d in &DIRECTIONS { let k = d.index(); let node = match self.nodes.get_mut(edge_node[k].index()) { Some(r) => r, None => { debug_assert!( false, "Edge's endpoint dir={:?} index={:?} not found", d, edge_node[k] ); return; } }; let fst = node.next[k]; if fst == e { //println!("Updating first edge 0 for node {}, set to {}", edge_node[0], edge_next[0]); node.next[k] = edge_next[k]; } else { let mut edges = edges_walker_mut(&mut self.edges, fst, d); while let Some(curedge) = edges.next_edge() { if curedge.next[k] == e { curedge.next[k] = edge_next[k]; break; // the edge can only be present once in the list. } } } } } /// Remove an edge and return its edge weight, or `None` if it didn't exist. /// /// Apart from `e`, this invalidates the last edge index in the graph /// (that edge will adopt the removed edge index). /// /// Computes in **O(e')** time, where **e'** is the size of four particular edge lists, for /// the vertices of `e` and the vertices of another affected edge. pub fn remove_edge(&mut self, e: EdgeIndex<Ix>) -> Option<E> { // every edge is part of two lists, // outgoing and incoming edges. // Remove it from both let (edge_node, edge_next) = match self.edges.get(e.index()) { None => return None, Some(x) => (x.node, x.next), }; // Remove the edge from its in and out lists by replacing it with // a link to the next in the list. self.change_edge_links(edge_node, e, edge_next); self.remove_edge_adjust_indices(e) } fn remove_edge_adjust_indices(&mut self, e: EdgeIndex<Ix>) -> Option<E> { // swap_remove the edge -- only the removed edge // and the edge swapped into place are affected and need updating // indices. let edge = self.edges.swap_remove(e.index()); let swap = match self.edges.get(e.index()) { // no elment needed to be swapped. None => return Some(edge.weight), Some(ed) => ed.node, }; let swapped_e = EdgeIndex::new(self.edges.len()); // Update the edge lists by replacing links to the old index by references to the new // edge index. self.change_edge_links(swap, swapped_e, [e, e]); Some(edge.weight) } /// Return an iterator of all nodes with an edge starting from `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `NodeIndex<Ix>`. /// /// Use [`.neighbors(a).detach()`][1] to get a neighbor walker that does /// not borrow from the graph. /// /// [1]: struct.Neighbors.html#method.detach pub fn neighbors(&self, a: NodeIndex<Ix>) -> Neighbors<E, Ix> { self.neighbors_directed(a, Outgoing) } /// Return an iterator of all neighbors that have an edge between them and /// `a`, in the specified direction. /// If the graph's edges are undirected, this is equivalent to *.neighbors(a)*. /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `NodeIndex<Ix>`. /// /// For a `Directed` graph, neighbors are listed in reverse order of their /// addition to the graph, so the most recently added edge's neighbor is /// listed first. The order in an `Undirected` graph is arbitrary. /// /// Use [`.neighbors_directed(a, dir).detach()`][1] to get a neighbor walker that does /// not borrow from the graph. /// /// [1]: struct.Neighbors.html#method.detach pub fn neighbors_directed(&self, a: NodeIndex<Ix>, dir: Direction) -> Neighbors<E, Ix> { let mut iter = self.neighbors_undirected(a); if self.is_directed() { let k = dir.index(); iter.next[1 - k] = EdgeIndex::end(); iter.skip_start = NodeIndex::end(); } iter } /// Return an iterator of all neighbors that have an edge between them and /// `a`, in either direction. /// If the graph's edges are undirected, this is equivalent to *.neighbors(a)*. /// /// - `Directed` and `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `NodeIndex<Ix>`. /// /// Use [`.neighbors_undirected(a).detach()`][1] to get a neighbor walker that does /// not borrow from the graph. /// /// [1]: struct.Neighbors.html#method.detach /// pub fn neighbors_undirected(&self, a: NodeIndex<Ix>) -> Neighbors<E, Ix> { Neighbors { skip_start: a, edges: &self.edges, next: match self.nodes.get(a.index()) { None => [EdgeIndex::end(), EdgeIndex::end()], Some(n) => n.next, }, } } /// Return an iterator of all edges of `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edges(&self, a: NodeIndex<Ix>) -> Edges<E, Ty, Ix> { self.edges_directed(a, Outgoing) } /// Return an iterator of all edges of `a`, in the specified direction. /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`, `Outgoing`: All edges connected to `a`, with `a` being the source of each /// edge. /// - `Undirected`, `Incoming`: All edges connected to `a`, with `a` being the target of each /// edge. /// /// Produces an empty iterator if the node `a` doesn't exist.<br> /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edges_directed(&self, a: NodeIndex<Ix>, dir: Direction) -> Edges<E, Ty, Ix> { Edges { skip_start: a, edges: &self.edges, direction: dir, next: match self.nodes.get(a.index()) { None => [EdgeIndex::end(), EdgeIndex::end()], Some(n) => n.next, }, ty: PhantomData, } } /// Return an iterator over all the edges connecting `a` and `b`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edges_connecting( &self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, ) -> EdgesConnecting<E, Ty, Ix> { EdgesConnecting { target_node: b, edges: self.edges_directed(a, Direction::Outgoing), ty: PhantomData, } } /// Lookup if there is an edge from `a` to `b`. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to `a` (and `b`, if the graph edges are undirected). pub fn contains_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { self.find_edge(a, b).is_some() } /// Lookup an edge from `a` to `b`. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to `a` (and `b`, if the graph edges are undirected). pub fn find_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> Option<EdgeIndex<Ix>> { if !self.is_directed() { self.find_edge_undirected(a, b).map(|(ix, _)| ix) } else { match self.nodes.get(a.index()) { None => None, Some(node) => self.find_edge_directed_from_node(node, b), } } } fn find_edge_directed_from_node( &self, node: &Node<N, Ix>, b: NodeIndex<Ix>, ) -> Option<EdgeIndex<Ix>> { let mut edix = node.next[0]; while let Some(edge) = self.edges.get(edix.index()) { if edge.node[1] == b { return Some(edix); } edix = edge.next[0]; } None } /// Lookup an edge between `a` and `b`, in either direction. /// /// If the graph is undirected, then this is equivalent to `.find_edge()`. /// /// Return the edge index and its directionality, with `Outgoing` meaning /// from `a` to `b` and `Incoming` the reverse, /// or `None` if the edge does not exist. pub fn find_edge_undirected( &self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, ) -> Option<(EdgeIndex<Ix>, Direction)> { match self.nodes.get(a.index()) { None => None, Some(node) => self.find_edge_undirected_from_node(node, b), } } fn find_edge_undirected_from_node( &self, node: &Node<N, Ix>, b: NodeIndex<Ix>, ) -> Option<(EdgeIndex<Ix>, Direction)> { for &d in &DIRECTIONS { let k = d.index(); let mut edix = node.next[k]; while let Some(edge) = self.edges.get(edix.index()) { if edge.node[1 - k] == b { return Some((edix, d)); } edix = edge.next[k]; } } None } /// Return an iterator over either the nodes without edges to them /// (`Incoming`) or from them (`Outgoing`). /// /// An *internal* node has both incoming and outgoing edges. /// The nodes in `.externals(Incoming)` are the source nodes and /// `.externals(Outgoing)` are the sinks of the graph. /// /// For a graph with undirected edges, both the sinks and the sources are /// just the nodes without edges. /// /// The whole iteration computes in **O(|V|)** time. pub fn externals(&self, dir: Direction) -> Externals<N, Ty, Ix> { Externals { iter: self.nodes.iter().enumerate(), dir, ty: PhantomData, } } /// Return an iterator over the node indices of the graph. /// /// For example, in a rare case where a graph algorithm were not applicable, /// the following code will iterate through all nodes to find a /// specific index: /// /// ``` /// # use petgraph::Graph; /// # let mut g = Graph::<&str, i32>::new(); /// # g.add_node("book"); /// let index = g.node_indices().find(|i| g[*i] == "book").unwrap(); /// ``` pub fn node_indices(&self) -> NodeIndices<Ix> { NodeIndices { r: 0..self.node_count(), ty: PhantomData, } } /// Return an iterator yielding mutable access to all node weights. /// /// The order in which weights are yielded matches the order of their /// node indices. pub fn node_weights_mut(&mut self) -> NodeWeightsMut<N, Ix> { NodeWeightsMut { nodes: self.nodes.iter_mut(), } } /// Return an iterator yielding immutable access to all node weights. /// /// The order in which weights are yielded matches the order of their /// node indices. pub fn node_weights(&self) -> NodeWeights<N, Ix> { NodeWeights { nodes: self.nodes.iter(), } } /// Return an iterator over the edge indices of the graph pub fn edge_indices(&self) -> EdgeIndices<Ix> { EdgeIndices { r: 0..self.edge_count(), ty: PhantomData, } } /// Create an iterator over all edges, in indexed order. /// /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edge_references(&self) -> EdgeReferences<E, Ix> { EdgeReferences { iter: self.edges.iter().enumerate(), } } /// Return an iterator yielding immutable access to all edge weights. /// /// The order in which weights are yielded matches the order of their /// edge indices. pub fn edge_weights(&self) -> EdgeWeights<E, Ix> { EdgeWeights { edges: self.edges.iter(), } } /// Return an iterator yielding mutable access to all edge weights. /// /// The order in which weights are yielded matches the order of their /// edge indices. pub fn edge_weights_mut(&mut self) -> EdgeWeightsMut<E, Ix> { EdgeWeightsMut { edges: self.edges.iter_mut(), } } // Remaining methods are of the more internal flavour, read-only access to // the data structure's internals. /// Access the internal node array. pub fn raw_nodes(&self) -> &[Node<N, Ix>] { &self.nodes } /// Access the internal edge array. pub fn raw_edges(&self) -> &[Edge<E, Ix>] { &self.edges } #[allow(clippy::type_complexity)] /// Convert the graph into a vector of Nodes and a vector of Edges pub fn into_nodes_edges(self) -> (Vec<Node<N, Ix>>, Vec<Edge<E, Ix>>) { (self.nodes, self.edges) } /// Accessor for data structure internals: the first edge in the given direction. pub fn first_edge(&self, a: NodeIndex<Ix>, dir: Direction) -> Option<EdgeIndex<Ix>> { match self.nodes.get(a.index()) { None => None, Some(node) => { let edix = node.next[dir.index()]; if edix == EdgeIndex::end() { None } else { Some(edix) } } } } /// Accessor for data structure internals: the next edge for the given direction. pub fn next_edge(&self, e: EdgeIndex<Ix>, dir: Direction) -> Option<EdgeIndex<Ix>> { match self.edges.get(e.index()) { None => None, Some(node) => { let edix = node.next[dir.index()]; if edix == EdgeIndex::end() { None } else { Some(edix) } } } } /// Index the `Graph` by two indices, any combination of /// node or edge indices is fine. /// /// **Panics** if the indices are equal or if they are out of bounds. /// /// ``` /// use petgraph::{Graph, Incoming}; /// use petgraph::visit::Dfs; /// /// let mut gr = Graph::new(); /// let a = gr.add_node(0.); /// let b = gr.add_node(0.); /// let c = gr.add_node(0.); /// gr.add_edge(a, b, 3.); /// gr.add_edge(b, c, 2.); /// gr.add_edge(c, b, 1.); /// /// // walk the graph and sum incoming edges into the node weight /// let mut dfs = Dfs::new(&gr, a); /// while let Some(node) = dfs.next(&gr) { /// // use a walker -- a detached neighbors iterator /// let mut edges = gr.neighbors_directed(node, Incoming).detach(); /// while let Some(edge) = edges.next_edge(&gr) { /// let (nw, ew) = gr.index_twice_mut(node, edge); /// *nw += *ew; /// } /// } /// /// // check the result /// assert_eq!(gr[a], 0.); /// assert_eq!(gr[b], 4.); /// assert_eq!(gr[c], 2.); /// ``` pub fn index_twice_mut<T, U>( &mut self, i: T, j: U, ) -> ( &mut <Self as Index<T>>::Output, &mut <Self as Index<U>>::Output, ) where Self: IndexMut<T> + IndexMut<U>, T: GraphIndex, U: GraphIndex, { assert!(T::is_node_index() != U::is_node_index() || i.index() != j.index()); // Allow two mutable indexes here -- they are nonoverlapping unsafe { let self_mut = self as *mut _; ( <Self as IndexMut<T>>::index_mut(&mut *self_mut, i), <Self as IndexMut<U>>::index_mut(&mut *self_mut, j), ) } } /// Reverse the direction of all edges pub fn reverse(&mut self) { // swap edge endpoints, // edge incoming / outgoing lists, // node incoming / outgoing lists for edge in &mut self.edges { edge.node.swap(0, 1); edge.next.swap(0, 1); } for node in &mut self.nodes { node.next.swap(0, 1); } } /// Remove all nodes and edges pub fn clear(&mut self) { self.nodes.clear(); self.edges.clear(); } /// Remove all edges pub fn clear_edges(&mut self) { self.edges.clear(); for node in &mut self.nodes { node.next = [EdgeIndex::end(), EdgeIndex::end()]; } } /// Return the current node and edge capacity of the graph. pub fn capacity(&self) -> (usize, usize) { (self.nodes.capacity(), self.edges.capacity()) } /// Reserves capacity for at least `additional` more nodes to be inserted in /// the graph. Graph may reserve more space to avoid frequent reallocations. /// /// **Panics** if the new capacity overflows `usize`. pub fn reserve_nodes(&mut self, additional: usize) { self.nodes.reserve(additional); } /// Reserves capacity for at least `additional` more edges to be inserted in /// the graph. Graph may reserve more space to avoid frequent reallocations. /// /// **Panics** if the new capacity overflows `usize`. pub fn reserve_edges(&mut self, additional: usize) { self.edges.reserve(additional); } /// Reserves the minimum capacity for exactly `additional` more nodes to be /// inserted in the graph. Does nothing if the capacity is already /// sufficient. /// /// Prefer `reserve_nodes` if future insertions are expected. /// /// **Panics** if the new capacity overflows `usize`. pub fn reserve_exact_nodes(&mut self, additional: usize) { self.nodes.reserve_exact(additional); } /// Reserves the minimum capacity for exactly `additional` more edges to be /// inserted in the graph. /// Does nothing if the capacity is already sufficient. /// /// Prefer `reserve_edges` if future insertions are expected. /// /// **Panics** if the new capacity overflows `usize`. pub fn reserve_exact_edges(&mut self, additional: usize) { self.edges.reserve_exact(additional); } /// Shrinks the capacity of the underlying nodes collection as much as possible. pub fn shrink_to_fit_nodes(&mut self) { self.nodes.shrink_to_fit(); } /// Shrinks the capacity of the underlying edges collection as much as possible. pub fn shrink_to_fit_edges(&mut self) { self.edges.shrink_to_fit(); } /// Shrinks the capacity of the graph as much as possible. pub fn shrink_to_fit(&mut self) { self.nodes.shrink_to_fit(); self.edges.shrink_to_fit(); } /// Keep all nodes that return `true` from the `visit` closure, /// remove the others. /// /// `visit` is provided a proxy reference to the graph, so that /// the graph can be walked and associated data modified. /// /// The order nodes are visited is not specified. pub fn retain_nodes<F>(&mut self, mut visit: F) where F: FnMut(Frozen<Self>, NodeIndex<Ix>) -> bool, { for index in self.node_indices().rev() { if !visit(Frozen(self), index) { let ret = self.remove_node(index); debug_assert!(ret.is_some()); let _ = ret; } } } /// Keep all edges that return `true` from the `visit` closure, /// remove the others. /// /// `visit` is provided a proxy reference to the graph, so that /// the graph can be walked and associated data modified. /// /// The order edges are visited is not specified. pub fn retain_edges<F>(&mut self, mut visit: F) where F: FnMut(Frozen<Self>, EdgeIndex<Ix>) -> bool, { for index in self.edge_indices().rev() { if !visit(Frozen(self), index) { let ret = self.remove_edge(index); debug_assert!(ret.is_some()); let _ = ret; } } } /// Create a new `Graph` from an iterable of edges. /// /// Node weights `N` are set to default values. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. /// /// ``` /// use petgraph::Graph; /// /// let gr = Graph::<(), i32>::from_edges(&[ /// (0, 1), (0, 2), (0, 3), /// (1, 2), (1, 3), /// (2, 3), /// ]); /// ``` pub fn from_edges<I>(iterable: I) -> Self where I: IntoIterator, I::Item: IntoWeightedEdge<E>, <I::Item as IntoWeightedEdge<E>>::NodeId: Into<NodeIndex<Ix>>, N: Default, { let mut g = Self::with_capacity(0, 0); g.extend_with_edges(iterable); g } /// Extend the graph from an iterable of edges. /// /// Node weights `N` are set to default values. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. pub fn extend_with_edges<I>(&mut self, iterable: I) where I: IntoIterator, I::Item: IntoWeightedEdge<E>, <I::Item as IntoWeightedEdge<E>>::NodeId: Into<NodeIndex<Ix>>, N: Default, { let iter = iterable.into_iter(); let (low, _) = iter.size_hint(); self.edges.reserve(low); for elt in iter { let (source, target, weight) = elt.into_weighted_edge(); let (source, target) = (source.into(), target.into()); let nx = cmp::max(source, target); while nx.index() >= self.node_count() { self.add_node(N::default()); } self.add_edge(source, target, weight); } } /// Create a new `Graph` by mapping node and /// edge weights to new values. /// /// The resulting graph has the same structure and the same /// graph indices as `self`. pub fn map<'a, F, G, N2, E2>( &'a self, mut node_map: F, mut edge_map: G, ) -> Graph<N2, E2, Ty, Ix> where F: FnMut(NodeIndex<Ix>, &'a N) -> N2, G: FnMut(EdgeIndex<Ix>, &'a E) -> E2, { let mut g = Graph::with_capacity(self.node_count(), self.edge_count()); g.nodes.extend(enumerate(&self.nodes).map(|(i, node)| Node { weight: node_map(NodeIndex::new(i), &node.weight), next: node.next, })); g.edges.extend(enumerate(&self.edges).map(|(i, edge)| Edge { weight: edge_map(EdgeIndex::new(i), &edge.weight), next: edge.next, node: edge.node, })); g } /// Create a new `Graph` by mapping nodes and edges. /// A node or edge may be mapped to `None` to exclude it from /// the resulting graph. /// /// Nodes are mapped first with the `node_map` closure, then /// `edge_map` is called for the edges that have not had any endpoint /// removed. /// /// The resulting graph has the structure of a subgraph of the original graph. /// If no nodes are removed, the resulting graph has compatible node /// indices; if neither nodes nor edges are removed, the result has /// the same graph indices as `self`. pub fn filter_map<'a, F, G, N2, E2>( &'a self, mut node_map: F, mut edge_map: G, ) -> Graph<N2, E2, Ty, Ix> where F: FnMut(NodeIndex<Ix>, &'a N) -> Option<N2>, G: FnMut(EdgeIndex<Ix>, &'a E) -> Option<E2>, { let mut g = Graph::with_capacity(0, 0); // mapping from old node index to new node index, end represents removed. let mut node_index_map = vec![NodeIndex::end(); self.node_count()]; for (i, node) in enumerate(&self.nodes) { if let Some(nw) = node_map(NodeIndex::new(i), &node.weight) { node_index_map[i] = g.add_node(nw); } } for (i, edge) in enumerate(&self.edges) { // skip edge if any endpoint was removed let source = node_index_map[edge.source().index()]; let target = node_index_map[edge.target().index()]; if source != NodeIndex::end() && target != NodeIndex::end() { if let Some(ew) = edge_map(EdgeIndex::new(i), &edge.weight) { g.add_edge(source, target, ew); } } } g } /// Convert the graph into either undirected or directed. No edge adjustments /// are done, so you may want to go over the result to remove or add edges. /// /// Computes in **O(1)** time. pub fn into_edge_type<NewTy>(self) -> Graph<N, E, NewTy, Ix> where NewTy: EdgeType, { Graph { nodes: self.nodes, edges: self.edges, ty: PhantomData, } } // // internal methods // #[cfg(feature = "serde-1")] /// Fix up node and edge links after deserialization fn link_edges(&mut self) -> Result<(), NodeIndex<Ix>> { for (edge_index, edge) in enumerate(&mut self.edges) { let a = edge.source(); let b = edge.target(); let edge_idx = EdgeIndex::new(edge_index); match index_twice(&mut self.nodes, a.index(), b.index()) { Pair::None => return Err(if a > b { a } else { b }), Pair::One(an) => { edge.next = an.next; an.next[0] = edge_idx; an.next[1] = edge_idx; } Pair::Both(an, bn) => { // a and b are different indices edge.next = [an.next[0], bn.next[1]]; an.next[0] = edge_idx; bn.next[1] = edge_idx; } } } Ok(()) } } /// An iterator over either the nodes without edges to them or from them. #[derive(Debug, Clone)] pub struct Externals<'a, N: 'a, Ty, Ix: IndexType = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Node<N, Ix>>>, dir: Direction, ty: PhantomData<Ty>, } impl<'a, N: 'a, Ty, Ix> Iterator for Externals<'a, N, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<NodeIndex<Ix>> { let k = self.dir.index(); loop { match self.iter.next() { None => return None, Some((index, node)) => { if node.next[k] == EdgeIndex::end() && (Ty::is_directed() || node.next[1 - k] == EdgeIndex::end()) { return Some(NodeIndex::new(index)); } else { continue; } } } } } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } /// Iterator over the neighbors of a node. /// /// Iterator element type is `NodeIndex<Ix>`. /// /// Created with [`.neighbors()`][1], [`.neighbors_directed()`][2] or /// [`.neighbors_undirected()`][3]. /// /// [1]: struct.Graph.html#method.neighbors /// [2]: struct.Graph.html#method.neighbors_directed /// [3]: struct.Graph.html#method.neighbors_undirected #[derive(Debug)] pub struct Neighbors<'a, E: 'a, Ix: 'a = DefaultIx> { /// starting node to skip over skip_start: NodeIndex<Ix>, edges: &'a [Edge<E, Ix>], next: [EdgeIndex<Ix>; 2], } impl<'a, E, Ix> Iterator for Neighbors<'a, E, Ix> where Ix: IndexType, { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<NodeIndex<Ix>> { // First any outgoing edges match self.edges.get(self.next[0].index()) { None => {} Some(edge) => { self.next[0] = edge.next[0]; return Some(edge.node[1]); } } // Then incoming edges // For an "undirected" iterator (traverse both incoming // and outgoing edge lists), make sure we don't double // count selfloops by skipping them in the incoming list. while let Some(edge) = self.edges.get(self.next[1].index()) { self.next[1] = edge.next[1]; if edge.node[0] != self.skip_start { return Some(edge.node[0]); } } None } } impl<'a, E, Ix> Clone for Neighbors<'a, E, Ix> where Ix: IndexType, { clone_fields!(Neighbors, skip_start, edges, next,); } impl<'a, E, Ix> Neighbors<'a, E, Ix> where Ix: IndexType, { /// Return a “walker” object that can be used to step through the /// neighbors and edges from the origin node. /// /// Note: The walker does not borrow from the graph, this is to allow mixing /// edge walking with mutating the graph's weights. pub fn detach(&self) -> WalkNeighbors<Ix> { WalkNeighbors { skip_start: self.skip_start, next: self.next, } } } struct EdgesWalkerMut<'a, E: 'a, Ix: IndexType = DefaultIx> { edges: &'a mut [Edge<E, Ix>], next: EdgeIndex<Ix>, dir: Direction, } fn edges_walker_mut<E, Ix>( edges: &mut [Edge<E, Ix>], next: EdgeIndex<Ix>, dir: Direction, ) -> EdgesWalkerMut<E, Ix> where Ix: IndexType, { EdgesWalkerMut { edges, next, dir } } impl<'a, E, Ix> EdgesWalkerMut<'a, E, Ix> where Ix: IndexType, { fn next_edge(&mut self) -> Option<&mut Edge<E, Ix>> { self.next().map(|t| t.1) } fn next(&mut self) -> Option<(EdgeIndex<Ix>, &mut Edge<E, Ix>)> { let this_index = self.next; let k = self.dir.index(); match self.edges.get_mut(self.next.index()) { None => None, Some(edge) => { self.next = edge.next[k]; Some((this_index, edge)) } } } } impl<'a, N, E, Ty, Ix> visit::IntoEdges for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Edges = Edges<'a, E, Ty, Ix>; fn edges(self, a: Self::NodeId) -> Self::Edges { self.edges(a) } } impl<'a, N, E, Ty, Ix> visit::IntoEdgesDirected for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgesDirected = Edges<'a, E, Ty, Ix>; fn edges_directed(self, a: Self::NodeId, dir: Direction) -> Self::EdgesDirected { self.edges_directed(a, dir) } } /// Iterator over the edges of from or to a node #[derive(Debug)] pub struct Edges<'a, E: 'a, Ty, Ix: 'a = DefaultIx> where Ty: EdgeType, Ix: IndexType, { /// starting node to skip over skip_start: NodeIndex<Ix>, edges: &'a [Edge<E, Ix>], /// Next edge to visit. next: [EdgeIndex<Ix>; 2], /// For directed graphs: the direction to iterate in /// For undirected graphs: the direction of edges direction: Direction, ty: PhantomData<Ty>, } impl<'a, E, Ty, Ix> Iterator for Edges<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = EdgeReference<'a, E, Ix>; fn next(&mut self) -> Option<Self::Item> { // type direction | iterate over reverse // | // Directed Outgoing | outgoing no // Directed Incoming | incoming no // Undirected Outgoing | both incoming // Undirected Incoming | both outgoing // For iterate_over, "both" is represented as None. // For reverse, "no" is represented as None. let (iterate_over, reverse) = if Ty::is_directed() { (Some(self.direction), None) } else { (None, Some(self.direction.opposite())) }; if iterate_over.unwrap_or(Outgoing) == Outgoing { let i = self.next[0].index(); if let Some(Edge { node, weight, next }) = self.edges.get(i) { self.next[0] = next[0]; return Some(EdgeReference { index: edge_index(i), node: if reverse == Some(Outgoing) { swap_pair(*node) } else { *node }, weight, }); } } if iterate_over.unwrap_or(Incoming) == Incoming { while let Some(Edge { node, weight, next }) = self.edges.get(self.next[1].index()) { let edge_index = self.next[1]; self.next[1] = next[1]; // In any of the "both" situations, self-loops would be iterated over twice. // Skip them here. if iterate_over.is_none() && node[0] == self.skip_start { continue; } return Some(EdgeReference { index: edge_index, node: if reverse == Some(Incoming) { swap_pair(*node) } else { *node }, weight, }); } } None } } /// Iterator over the multiple directed edges connecting a source node to a target node #[derive(Debug, Clone)] pub struct EdgesConnecting<'a, E: 'a, Ty, Ix: 'a = DefaultIx> where Ty: EdgeType, Ix: IndexType, { target_node: NodeIndex<Ix>, edges: Edges<'a, E, Ty, Ix>, ty: PhantomData<Ty>, } impl<'a, E, Ty, Ix> Iterator for EdgesConnecting<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = EdgeReference<'a, E, Ix>; fn next(&mut self) -> Option<EdgeReference<'a, E, Ix>> { while let Some(edge) = self.edges.next() { if edge.node[1] == self.target_node { return Some(edge); } } None } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.edges.size_hint(); (0, upper) } } fn swap_pair<T>(mut x: [T; 2]) -> [T; 2] { x.swap(0, 1); x } impl<'a, E, Ty, Ix> Clone for Edges<'a, E, Ty, Ix> where Ix: IndexType, Ty: EdgeType, { fn clone(&self) -> Self { Edges { skip_start: self.skip_start, edges: self.edges, next: self.next, direction: self.direction, ty: self.ty, } } } /// Iterator yielding immutable access to all node weights. pub struct NodeWeights<'a, N: 'a, Ix: IndexType = DefaultIx> { nodes: ::std::slice::Iter<'a, Node<N, Ix>>, } impl<'a, N, Ix> Iterator for NodeWeights<'a, N, Ix> where Ix: IndexType, { type Item = &'a N; fn next(&mut self) -> Option<&'a N> { self.nodes.next().map(|node| &node.weight) } fn size_hint(&self) -> (usize, Option<usize>) { self.nodes.size_hint() } } /// Iterator yielding mutable access to all node weights. #[derive(Debug)] pub struct NodeWeightsMut<'a, N: 'a, Ix: IndexType = DefaultIx> { nodes: ::std::slice::IterMut<'a, Node<N, Ix>>, // TODO: change type to something that implements Clone? } impl<'a, N, Ix> Iterator for NodeWeightsMut<'a, N, Ix> where Ix: IndexType, { type Item = &'a mut N; fn next(&mut self) -> Option<&'a mut N> { self.nodes.next().map(|node| &mut node.weight) } fn size_hint(&self) -> (usize, Option<usize>) { self.nodes.size_hint() } } /// Iterator yielding immutable access to all edge weights. pub struct EdgeWeights<'a, E: 'a, Ix: IndexType = DefaultIx> { edges: ::std::slice::Iter<'a, Edge<E, Ix>>, } impl<'a, E, Ix> Iterator for EdgeWeights<'a, E, Ix> where Ix: IndexType, { type Item = &'a E; fn next(&mut self) -> Option<&'a E> { self.edges.next().map(|edge| &edge.weight) } fn size_hint(&self) -> (usize, Option<usize>) { self.edges.size_hint() } } /// Iterator yielding mutable access to all edge weights. #[derive(Debug)] pub struct EdgeWeightsMut<'a, E: 'a, Ix: IndexType = DefaultIx> { edges: ::std::slice::IterMut<'a, Edge<E, Ix>>, // TODO: change type to something that implements Clone? } impl<'a, E, Ix> Iterator for EdgeWeightsMut<'a, E, Ix> where Ix: IndexType, { type Item = &'a mut E; fn next(&mut self) -> Option<&'a mut E> { self.edges.next().map(|edge| &mut edge.weight) } fn size_hint(&self) -> (usize, Option<usize>) { self.edges.size_hint() } } /// Index the `Graph` by `NodeIndex` to access node weights. /// /// **Panics** if the node doesn't exist. impl<N, E, Ty, Ix> Index<NodeIndex<Ix>> for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Output = N; fn index(&self, index: NodeIndex<Ix>) -> &N { &self.nodes[index.index()].weight } } /// Index the `Graph` by `NodeIndex` to access node weights. /// /// **Panics** if the node doesn't exist. impl<N, E, Ty, Ix> IndexMut<NodeIndex<Ix>> for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn index_mut(&mut self, index: NodeIndex<Ix>) -> &mut N { &mut self.nodes[index.index()].weight } } /// Index the `Graph` by `EdgeIndex` to access edge weights. /// /// **Panics** if the edge doesn't exist. impl<N, E, Ty, Ix> Index<EdgeIndex<Ix>> for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Output = E; fn index(&self, index: EdgeIndex<Ix>) -> &E { &self.edges[index.index()].weight } } /// Index the `Graph` by `EdgeIndex` to access edge weights. /// /// **Panics** if the edge doesn't exist. impl<N, E, Ty, Ix> IndexMut<EdgeIndex<Ix>> for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn index_mut(&mut self, index: EdgeIndex<Ix>) -> &mut E { &mut self.edges[index.index()].weight } } /// Create a new empty `Graph`. impl<N, E, Ty, Ix> Default for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn default() -> Self { Self::with_capacity(0, 0) } } /// A `GraphIndex` is a node or edge index. pub trait GraphIndex: Copy { #[doc(hidden)] fn index(&self) -> usize; #[doc(hidden)] fn is_node_index() -> bool; } impl<Ix: IndexType> GraphIndex for NodeIndex<Ix> { #[inline] #[doc(hidden)] fn index(&self) -> usize { NodeIndex::index(*self) } #[inline] #[doc(hidden)] fn is_node_index() -> bool { true } } impl<Ix: IndexType> GraphIndex for EdgeIndex<Ix> { #[inline] #[doc(hidden)] fn index(&self) -> usize { EdgeIndex::index(*self) } #[inline] #[doc(hidden)] fn is_node_index() -> bool { false } } /// A “walker” object that can be used to step through the edge list of a node. /// /// Created with [`.detach()`](struct.Neighbors.html#method.detach). /// /// The walker does not borrow from the graph, so it lets you step through /// neighbors or incident edges while also mutating graph weights, as /// in the following example: /// /// ``` /// use petgraph::{Graph, Incoming}; /// use petgraph::visit::Dfs; /// /// let mut gr = Graph::new(); /// let a = gr.add_node(0.); /// let b = gr.add_node(0.); /// let c = gr.add_node(0.); /// gr.add_edge(a, b, 3.); /// gr.add_edge(b, c, 2.); /// gr.add_edge(c, b, 1.); /// /// // step through the graph and sum incoming edges into the node weight /// let mut dfs = Dfs::new(&gr, a); /// while let Some(node) = dfs.next(&gr) { /// // use a detached neighbors walker /// let mut edges = gr.neighbors_directed(node, Incoming).detach(); /// while let Some(edge) = edges.next_edge(&gr) { /// gr[node] += gr[edge]; /// } /// } /// /// // check the result /// assert_eq!(gr[a], 0.); /// assert_eq!(gr[b], 4.); /// assert_eq!(gr[c], 2.); /// ``` pub struct WalkNeighbors<Ix> { skip_start: NodeIndex<Ix>, next: [EdgeIndex<Ix>; 2], } impl<Ix> Clone for WalkNeighbors<Ix> where Ix: IndexType, { fn clone(&self) -> Self { WalkNeighbors { skip_start: self.skip_start, next: self.next, } } } impl<Ix: IndexType> WalkNeighbors<Ix> { /// Step to the next edge and its endpoint node in the walk for graph `g`. /// /// The next node indices are always the others than the starting point /// where the `WalkNeighbors` value was created. /// For an `Outgoing` walk, the target nodes, /// for an `Incoming` walk, the source nodes of the edge. pub fn next<N, E, Ty: EdgeType>( &mut self, g: &Graph<N, E, Ty, Ix>, ) -> Option<(EdgeIndex<Ix>, NodeIndex<Ix>)> { // First any outgoing edges match g.edges.get(self.next[0].index()) { None => {} Some(edge) => { let ed = self.next[0]; self.next[0] = edge.next[0]; return Some((ed, edge.node[1])); } } // Then incoming edges // For an "undirected" iterator (traverse both incoming // and outgoing edge lists), make sure we don't double // count selfloops by skipping them in the incoming list. while let Some(edge) = g.edges.get(self.next[1].index()) { let ed = self.next[1]; self.next[1] = edge.next[1]; if edge.node[0] != self.skip_start { return Some((ed, edge.node[0])); } } None } pub fn next_node<N, E, Ty: EdgeType>( &mut self, g: &Graph<N, E, Ty, Ix>, ) -> Option<NodeIndex<Ix>> { self.next(g).map(|t| t.1) } pub fn next_edge<N, E, Ty: EdgeType>( &mut self, g: &Graph<N, E, Ty, Ix>, ) -> Option<EdgeIndex<Ix>> { self.next(g).map(|t| t.0) } } /// Iterator over the node indices of a graph. #[derive(Clone, Debug)] pub struct NodeIndices<Ix = DefaultIx> { r: Range<usize>, ty: PhantomData<fn() -> Ix>, } impl<Ix: IndexType> Iterator for NodeIndices<Ix> { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.r.next().map(node_index) } fn size_hint(&self) -> (usize, Option<usize>) { self.r.size_hint() } } impl<Ix: IndexType> DoubleEndedIterator for NodeIndices<Ix> { fn next_back(&mut self) -> Option<Self::Item> { self.r.next_back().map(node_index) } } impl<Ix: IndexType> ExactSizeIterator for NodeIndices<Ix> {} /// Iterator over the edge indices of a graph. #[derive(Clone, Debug)] pub struct EdgeIndices<Ix = DefaultIx> { r: Range<usize>, ty: PhantomData<fn() -> Ix>, } impl<Ix: IndexType> Iterator for EdgeIndices<Ix> { type Item = EdgeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.r.next().map(edge_index) } fn size_hint(&self) -> (usize, Option<usize>) { self.r.size_hint() } } impl<Ix: IndexType> DoubleEndedIterator for EdgeIndices<Ix> { fn next_back(&mut self) -> Option<Self::Item> { self.r.next_back().map(edge_index) } } impl<Ix: IndexType> ExactSizeIterator for EdgeIndices<Ix> {} /// Reference to a `Graph` edge. #[derive(Debug)] pub struct EdgeReference<'a, E: 'a, Ix = DefaultIx> { index: EdgeIndex<Ix>, node: [NodeIndex<Ix>; 2], weight: &'a E, } impl<'a, E, Ix: IndexType> Clone for EdgeReference<'a, E, Ix> { fn clone(&self) -> Self { *self } } impl<'a, E, Ix: IndexType> Copy for EdgeReference<'a, E, Ix> {} impl<'a, E, Ix: IndexType> PartialEq for EdgeReference<'a, E, Ix> where E: PartialEq, { fn eq(&self, rhs: &Self) -> bool { self.index == rhs.index && self.weight == rhs.weight } } impl<N, E, Ty, Ix> visit::GraphBase for Graph<N, E, Ty, Ix> where Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex<Ix>; } impl<N, E, Ty, Ix> visit::Visitable for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Map = FixedBitSet; fn visit_map(&self) -> FixedBitSet { FixedBitSet::with_capacity(self.node_count()) } fn reset_map(&self, map: &mut Self::Map) { map.clear(); map.grow(self.node_count()); } } impl<N, E, Ty, Ix> visit::GraphProp for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgeType = Ty; } impl<'a, N, E: 'a, Ty, Ix> visit::IntoNodeIdentifiers for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeIdentifiers = NodeIndices<Ix>; fn node_identifiers(self) -> NodeIndices<Ix> { Graph::node_indices(self) } } impl<N, E, Ty, Ix> visit::NodeCount for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_count(&self) -> usize { self.node_count() } } impl<N, E, Ty, Ix> visit::NodeIndexable for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { #[inline] fn node_bound(&self) -> usize { self.node_count() } #[inline] fn to_index(&self, ix: NodeIndex<Ix>) -> usize { ix.index() } #[inline] fn from_index(&self, ix: usize) -> Self::NodeId { NodeIndex::new(ix) } } impl<N, E, Ty, Ix> visit::NodeCompactIndexable for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { } impl<'a, N, E: 'a, Ty, Ix> visit::IntoNeighbors for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Neighbors = Neighbors<'a, E, Ix>; fn neighbors(self, n: NodeIndex<Ix>) -> Neighbors<'a, E, Ix> { Graph::neighbors(self, n) } } impl<'a, N, E: 'a, Ty, Ix> visit::IntoNeighborsDirected for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NeighborsDirected = Neighbors<'a, E, Ix>; fn neighbors_directed(self, n: NodeIndex<Ix>, d: Direction) -> Neighbors<'a, E, Ix> { Graph::neighbors_directed(self, n, d) } } impl<'a, N: 'a, E: 'a, Ty, Ix> visit::IntoEdgeReferences for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgeRef = EdgeReference<'a, E, Ix>; type EdgeReferences = EdgeReferences<'a, E, Ix>; fn edge_references(self) -> Self::EdgeReferences { (*self).edge_references() } } impl<N, E, Ty, Ix> visit::EdgeCount for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { #[inline] fn edge_count(&self) -> usize { self.edge_count() } } impl<'a, N, E, Ty, Ix> visit::IntoNodeReferences for &'a Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeRef = (NodeIndex<Ix>, &'a N); type NodeReferences = NodeReferences<'a, N, Ix>; fn node_references(self) -> Self::NodeReferences { NodeReferences { iter: self.nodes.iter().enumerate(), } } } /// Iterator over all nodes of a graph. #[derive(Debug, Clone)] pub struct NodeReferences<'a, N: 'a, Ix: IndexType = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Node<N, Ix>>>, } impl<'a, N, Ix> Iterator for NodeReferences<'a, N, Ix> where Ix: IndexType, { type Item = (NodeIndex<Ix>, &'a N); fn next(&mut self) -> Option<Self::Item> { self.iter .next() .map(|(i, node)| (node_index(i), &node.weight)) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } impl<'a, N, Ix> DoubleEndedIterator for NodeReferences<'a, N, Ix> where Ix: IndexType, { fn next_back(&mut self) -> Option<Self::Item> { self.iter .next_back() .map(|(i, node)| (node_index(i), &node.weight)) } } impl<'a, N, Ix> ExactSizeIterator for NodeReferences<'a, N, Ix> where Ix: IndexType {} impl<'a, Ix, E> EdgeReference<'a, E, Ix> where Ix: IndexType, { /// Access the edge’s weight. /// /// **NOTE** that this method offers a longer lifetime /// than the trait (unfortunately they don't match yet). pub fn weight(&self) -> &'a E { self.weight } } impl<'a, Ix, E> visit::EdgeRef for EdgeReference<'a, E, Ix> where Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex<Ix>; type Weight = E; fn source(&self) -> Self::NodeId { self.node[0] } fn target(&self) -> Self::NodeId { self.node[1] } fn weight(&self) -> &E { self.weight } fn id(&self) -> Self::EdgeId { self.index } } /// Iterator over all edges of a graph. #[derive(Debug, Clone)] pub struct EdgeReferences<'a, E: 'a, Ix: IndexType = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Edge<E, Ix>>>, } impl<'a, E, Ix> Iterator for EdgeReferences<'a, E, Ix> where Ix: IndexType, { type Item = EdgeReference<'a, E, Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(|(i, edge)| EdgeReference { index: edge_index(i), node: edge.node, weight: &edge.weight, }) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } impl<'a, E, Ix> DoubleEndedIterator for EdgeReferences<'a, E, Ix> where Ix: IndexType, { fn next_back(&mut self) -> Option<Self::Item> { self.iter.next_back().map(|(i, edge)| EdgeReference { index: edge_index(i), node: edge.node, weight: &edge.weight, }) } } impl<'a, E, Ix> ExactSizeIterator for EdgeReferences<'a, E, Ix> where Ix: IndexType {} impl<N, E, Ty, Ix> visit::EdgeIndexable for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn edge_bound(&self) -> usize { self.edge_count() } fn to_index(&self, ix: EdgeIndex<Ix>) -> usize { ix.index() } fn from_index(&self, ix: usize) -> Self::EdgeId { EdgeIndex::new(ix) } } mod frozen; #[cfg(feature = "stable_graph")] pub mod stable_graph; /// `Frozen` is a graph wrapper. /// /// The `Frozen` only allows shared access (read-only) to the /// underlying graph `G`, but it allows mutable access to its /// node and edge weights. /// /// This is used to ensure immutability of the graph's structure /// while permitting weights to be both read and written. /// /// See indexing implementations and the traits `Data` and `DataMap` /// for read-write access to the graph's weights. pub struct Frozen<'a, G: 'a>(&'a mut G); ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/graph_impl/serialization.rs������������������������������������������������������0000644�0000000�0000000�00000021723�10461020230�0017606�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use serde::de::Error; use std::marker::PhantomData; use crate::prelude::*; use crate::graph::Node; use crate::graph::{Edge, IndexType}; use crate::serde_utils::CollectSeqWithLength; use crate::serde_utils::MappedSequenceVisitor; use crate::serde_utils::{FromDeserialized, IntoSerializable}; use crate::EdgeType; use super::{EdgeIndex, NodeIndex}; use serde::{Deserialize, Deserializer, Serialize, Serializer}; /// Serialization representation for Graph /// Keep in sync with deserialization and StableGraph /// /// The serialization format is as follows, in Pseudorust: /// /// Graph { /// nodes: [N], /// node_holes: [NodeIndex<Ix>], /// edge_property: EdgeProperty, /// edges: [Option<(NodeIndex<Ix>, NodeIndex<Ix>, E)>] /// } /// /// The same format is used by both Graph and StableGraph. /// /// For graph there are restrictions: /// node_holes is always empty and edges are always Some /// /// A stable graph serialization that obeys these restrictions /// (effectively, it has no interior vacancies) can de deserialized /// as a graph. /// /// Node indices are serialized as integers and are fixed size for /// binary formats, so the Ix parameter matters there. #[derive(Serialize)] #[serde(rename = "Graph")] #[serde(bound(serialize = "N: Serialize, E: Serialize, Ix: IndexType + Serialize"))] pub struct SerGraph<'a, N: 'a, E: 'a, Ix: 'a + IndexType> { #[serde(serialize_with = "ser_graph_nodes")] nodes: &'a [Node<N, Ix>], node_holes: &'a [NodeIndex<Ix>], edge_property: EdgeProperty, #[serde(serialize_with = "ser_graph_edges")] edges: &'a [Edge<E, Ix>], } // Deserialization representation for Graph // Keep in sync with serialization and StableGraph #[derive(Deserialize)] #[serde(rename = "Graph")] #[serde(bound( deserialize = "N: Deserialize<'de>, E: Deserialize<'de>, Ix: IndexType + Deserialize<'de>" ))] pub struct DeserGraph<N, E, Ix> { #[serde(deserialize_with = "deser_graph_nodes")] nodes: Vec<Node<N, Ix>>, #[serde(deserialize_with = "deser_graph_node_holes")] #[allow(unused)] #[serde(default = "Vec::new")] node_holes: Vec<NodeIndex<Ix>>, edge_property: EdgeProperty, #[serde(deserialize_with = "deser_graph_edges")] edges: Vec<Edge<E, Ix>>, } impl<Ix> Serialize for NodeIndex<Ix> where Ix: IndexType + Serialize, { fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, { self.0.serialize(serializer) } } impl<'de, Ix> Deserialize<'de> for NodeIndex<Ix> where Ix: IndexType + Deserialize<'de>, { fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where D: Deserializer<'de>, { Ok(NodeIndex(Ix::deserialize(deserializer)?)) } } impl<Ix> Serialize for EdgeIndex<Ix> where Ix: IndexType + Serialize, { fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, { self.0.serialize(serializer) } } impl<'de, Ix> Deserialize<'de> for EdgeIndex<Ix> where Ix: IndexType + Deserialize<'de>, { fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where D: Deserializer<'de>, { Ok(EdgeIndex(Ix::deserialize(deserializer)?)) } } #[derive(Serialize, Deserialize)] #[serde(rename_all = "lowercase")] #[derive(Debug)] pub enum EdgeProperty { Undirected, Directed, } impl EdgeProperty { pub fn is_directed(&self) -> bool { match *self { EdgeProperty::Directed => true, EdgeProperty::Undirected => false, } } } impl<Ty> From<PhantomData<Ty>> for EdgeProperty where Ty: EdgeType, { fn from(_: PhantomData<Ty>) -> Self { if Ty::is_directed() { EdgeProperty::Directed } else { EdgeProperty::Undirected } } } impl<Ty> FromDeserialized for PhantomData<Ty> where Ty: EdgeType, { type Input = EdgeProperty; fn from_deserialized<E2>(input: Self::Input) -> Result<Self, E2> where E2: Error, { if input.is_directed() != Ty::is_directed() { Err(E2::custom(format_args!( "graph edge property mismatch, \ expected {:?}, found {:?}", EdgeProperty::from(PhantomData::<Ty>), input ))) } else { Ok(PhantomData) } } } fn ser_graph_nodes<S, N, Ix>(nodes: &&[Node<N, Ix>], serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, N: Serialize, Ix: Serialize + IndexType, { serializer.collect_seq_exact(nodes.iter().map(|node| &node.weight)) } fn ser_graph_edges<S, E, Ix>(edges: &&[Edge<E, Ix>], serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, E: Serialize, Ix: Serialize + IndexType, { serializer.collect_seq_exact( edges .iter() .map(|edge| Some((edge.source(), edge.target(), &edge.weight))), ) } fn deser_graph_nodes<'de, D, N, Ix>(deserializer: D) -> Result<Vec<Node<N, Ix>>, D::Error> where D: Deserializer<'de>, N: Deserialize<'de>, Ix: IndexType + Deserialize<'de>, { deserializer.deserialize_seq(MappedSequenceVisitor::new(|n| { Ok(Node { weight: n, next: [EdgeIndex::end(); 2], }) })) } fn deser_graph_node_holes<'de, D, Ix>(deserializer: D) -> Result<Vec<NodeIndex<Ix>>, D::Error> where D: Deserializer<'de>, Ix: IndexType + Deserialize<'de>, { deserializer.deserialize_seq( MappedSequenceVisitor::<NodeIndex<Ix>, NodeIndex<Ix>, _>::new(|_| { Err("Graph can not have holes in the node set, found non-empty node_holes") }), ) } fn deser_graph_edges<'de, D, N, Ix>(deserializer: D) -> Result<Vec<Edge<N, Ix>>, D::Error> where D: Deserializer<'de>, N: Deserialize<'de>, Ix: IndexType + Deserialize<'de>, { deserializer.deserialize_seq(MappedSequenceVisitor::< Option<(NodeIndex<Ix>, NodeIndex<Ix>, N)>, _, _, >::new(|x| { if let Some((i, j, w)) = x { Ok(Edge { weight: w, node: [i, j], next: [EdgeIndex::end(); 2], }) } else { Err("Graph can not have holes in the edge set, found None, expected edge") } })) } impl<'a, N, E, Ty, Ix> IntoSerializable for &'a Graph<N, E, Ty, Ix> where Ix: IndexType, Ty: EdgeType, { type Output = SerGraph<'a, N, E, Ix>; fn into_serializable(self) -> Self::Output { SerGraph { nodes: &self.nodes, node_holes: &[], edges: &self.edges, edge_property: EdgeProperty::from(PhantomData::<Ty>), } } } /// Requires crate feature `"serde-1"` impl<N, E, Ty, Ix> Serialize for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType + Serialize, N: Serialize, E: Serialize, { fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, { self.into_serializable().serialize(serializer) } } pub fn invalid_node_err<E>(node_index: usize, len: usize) -> E where E: Error, { E::custom(format_args!( "invalid value: node index `{}` does not exist in graph \ with node bound {}", node_index, len )) } pub fn invalid_hole_err<E>(node_index: usize) -> E where E: Error, { E::custom(format_args!( "invalid value: node hole `{}` is not allowed.", node_index )) } pub fn invalid_length_err<Ix, E>(node_or_edge: &str, len: usize) -> E where E: Error, Ix: IndexType, { E::custom(format_args!( "invalid size: graph {} count {} exceeds index type maximum {}", node_or_edge, len, <Ix as IndexType>::max().index() )) } impl<'a, N, E, Ty, Ix> FromDeserialized for Graph<N, E, Ty, Ix> where Ix: IndexType, Ty: EdgeType, { type Input = DeserGraph<N, E, Ix>; fn from_deserialized<E2>(input: Self::Input) -> Result<Self, E2> where E2: Error, { let ty = PhantomData::<Ty>::from_deserialized(input.edge_property)?; let nodes = input.nodes; let edges = input.edges; if nodes.len() >= <Ix as IndexType>::max().index() { Err(invalid_length_err::<Ix, _>("node", nodes.len()))? } if edges.len() >= <Ix as IndexType>::max().index() { Err(invalid_length_err::<Ix, _>("edge", edges.len()))? } let mut gr = Graph { nodes: nodes, edges: edges, ty: ty, }; let nc = gr.node_count(); gr.link_edges() .map_err(|i| invalid_node_err(i.index(), nc))?; Ok(gr) } } /// Requires crate feature `"serde-1"` impl<'de, N, E, Ty, Ix> Deserialize<'de> for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType + Deserialize<'de>, N: Deserialize<'de>, E: Deserialize<'de>, { fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where D: Deserializer<'de>, { Self::from_deserialized(DeserGraph::deserialize(deserializer)?) } } ���������������������������������������������petgraph-0.6.4/src/graph_impl/stable_graph/mod.rs���������������������������������������������������0000644�0000000�0000000�00000201727�10461020230�0020147�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! `StableGraph` keeps indices stable across removals. //! //! Depends on `feature = "stable_graph"`. //! use std::cmp; use std::fmt; use std::iter; use std::marker::PhantomData; use std::mem::replace; use std::mem::size_of; use std::ops::{Index, IndexMut}; use std::slice; use fixedbitset::FixedBitSet; use crate::{Directed, Direction, EdgeType, Graph, Incoming, Outgoing, Undirected}; use crate::iter_format::{DebugMap, IterFormatExt, NoPretty}; use crate::iter_utils::IterUtilsExt; use super::{index_twice, Edge, Frozen, Node, Pair, DIRECTIONS}; use crate::visit; use crate::visit::{EdgeIndexable, EdgeRef, IntoEdgeReferences, NodeIndexable}; use crate::IntoWeightedEdge; // reexport those things that are shared with Graph #[doc(no_inline)] pub use crate::graph::{ edge_index, node_index, DefaultIx, EdgeIndex, GraphIndex, IndexType, NodeIndex, }; use crate::util::enumerate; #[cfg(feature = "serde-1")] mod serialization; /// `StableGraph<N, E, Ty, Ix>` is a graph datastructure using an adjacency /// list representation. /// /// The graph **does not invalidate** any unrelated node or edge indices when /// items are removed. /// /// `StableGraph` is parameterized over: /// /// - Associated data `N` for nodes and `E` for edges, also called *weights*. /// The associated data can be of arbitrary type. /// - Edge type `Ty` that determines whether the graph edges are directed or undirected. /// - Index type `Ix`, which determines the maximum size of the graph. /// /// The graph uses **O(|V| + |E|)** space, and allows fast node and edge insert /// and efficient graph search. /// /// It implements **O(e')** edge lookup and edge and node removals, where **e'** /// is some local measure of edge count. /// /// - Nodes and edges are each numbered in an interval from *0* to some number /// *m*, but *not all* indices in the range are valid, since gaps are formed /// by deletions. /// /// - You can select graph index integer type after the size of the graph. A smaller /// size may have better performance. /// /// - Using indices allows mutation while traversing the graph, see `Dfs`. /// /// - The `StableGraph` is a regular rust collection and is `Send` and `Sync` /// (as long as associated data `N` and `E` are). /// /// - Indices don't allow as much compile time checking as references. /// /// Depends on crate feature `stable_graph` (default). *Stable Graph is still /// missing a few methods compared to Graph. You can contribute to help it /// achieve parity.* pub struct StableGraph<N, E, Ty = Directed, Ix = DefaultIx> { g: Graph<Option<N>, Option<E>, Ty, Ix>, node_count: usize, edge_count: usize, // node and edge free lists (both work the same way) // // free_node, if not NodeIndex::end(), points to a node index // that is vacant (after a deletion). // The free nodes form a doubly linked list using the fields Node.next[0] // for forward references and Node.next[1] for backwards ones. // The nodes are stored as EdgeIndex, and the _into_edge()/_into_node() // methods convert. // free_edge, if not EdgeIndex::end(), points to a free edge. // The edges only form a singly linked list using Edge.next[0] to store // the forward reference. free_node: NodeIndex<Ix>, free_edge: EdgeIndex<Ix>, } /// A `StableGraph` with directed edges. /// /// For example, an edge from *1* to *2* is distinct from an edge from *2* to /// *1*. pub type StableDiGraph<N, E, Ix = DefaultIx> = StableGraph<N, E, Directed, Ix>; /// A `StableGraph` with undirected edges. /// /// For example, an edge between *1* and *2* is equivalent to an edge between /// *2* and *1*. pub type StableUnGraph<N, E, Ix = DefaultIx> = StableGraph<N, E, Undirected, Ix>; impl<N, E, Ty, Ix> fmt::Debug for StableGraph<N, E, Ty, Ix> where N: fmt::Debug, E: fmt::Debug, Ty: EdgeType, Ix: IndexType, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { let etype = if self.is_directed() { "Directed" } else { "Undirected" }; let mut fmt_struct = f.debug_struct("StableGraph"); fmt_struct.field("Ty", &etype); fmt_struct.field("node_count", &self.node_count); fmt_struct.field("edge_count", &self.edge_count); if self.g.edges.iter().any(|e| e.weight.is_some()) { fmt_struct.field( "edges", &self .g .edges .iter() .filter(|e| e.weight.is_some()) .map(|e| NoPretty((e.source().index(), e.target().index()))) .format(", "), ); } // skip weights if they are ZST! if size_of::<N>() != 0 { fmt_struct.field( "node weights", &DebugMap(|| { self.g .nodes .iter() .map(|n| n.weight.as_ref()) .enumerate() .filter_map(|(i, wo)| wo.map(move |w| (i, w))) }), ); } if size_of::<E>() != 0 { fmt_struct.field( "edge weights", &DebugMap(|| { self.g .edges .iter() .map(|n| n.weight.as_ref()) .enumerate() .filter_map(|(i, wo)| wo.map(move |w| (i, w))) }), ); } fmt_struct.field("free_node", &self.free_node); fmt_struct.field("free_edge", &self.free_edge); fmt_struct.finish() } } impl<N, E> StableGraph<N, E, Directed> { /// Create a new `StableGraph` with directed edges. /// /// This is a convenience method. See `StableGraph::with_capacity` /// or `StableGraph::default` for a constructor that is generic in all the /// type parameters of `StableGraph`. pub fn new() -> Self { Self::with_capacity(0, 0) } } impl<N, E, Ty, Ix> StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { /// Create a new `StableGraph` with estimated capacity. pub fn with_capacity(nodes: usize, edges: usize) -> Self { StableGraph { g: Graph::with_capacity(nodes, edges), node_count: 0, edge_count: 0, free_node: NodeIndex::end(), free_edge: EdgeIndex::end(), } } /// Return the current node and edge capacity of the graph. pub fn capacity(&self) -> (usize, usize) { self.g.capacity() } /// Reverse the direction of all edges pub fn reverse(&mut self) { // swap edge endpoints, // edge incoming / outgoing lists, // node incoming / outgoing lists for edge in &mut self.g.edges { edge.node.swap(0, 1); edge.next.swap(0, 1); } for node in &mut self.g.nodes { node.next.swap(0, 1); } } /// Remove all nodes and edges pub fn clear(&mut self) { self.node_count = 0; self.edge_count = 0; self.free_node = NodeIndex::end(); self.free_edge = EdgeIndex::end(); self.g.clear(); } /// Remove all edges pub fn clear_edges(&mut self) { self.edge_count = 0; self.free_edge = EdgeIndex::end(); self.g.edges.clear(); // clear edges without touching the free list for node in &mut self.g.nodes { if node.weight.is_some() { node.next = [EdgeIndex::end(), EdgeIndex::end()]; } } } /// Return the number of nodes (vertices) in the graph. /// /// Computes in **O(1)** time. pub fn node_count(&self) -> usize { self.node_count } /// Return the number of edges in the graph. /// /// Computes in **O(1)** time. pub fn edge_count(&self) -> usize { self.edge_count } /// Whether the graph has directed edges or not. #[inline] pub fn is_directed(&self) -> bool { Ty::is_directed() } /// Add a node (also called vertex) with associated data `weight` to the graph. /// /// Computes in **O(1)** time. /// /// Return the index of the new node. /// /// **Panics** if the `StableGraph` is at the maximum number of nodes for /// its index type. pub fn add_node(&mut self, weight: N) -> NodeIndex<Ix> { if self.free_node != NodeIndex::end() { let node_idx = self.free_node; self.occupy_vacant_node(node_idx, weight); node_idx } else { self.node_count += 1; self.g.add_node(Some(weight)) } } /// free_node: Which free list to update for the vacancy fn add_vacant_node(&mut self, free_node: &mut NodeIndex<Ix>) { let node_idx = self.g.add_node(None); // link the free list let node_slot = &mut self.g.nodes[node_idx.index()]; node_slot.next = [free_node._into_edge(), EdgeIndex::end()]; if *free_node != NodeIndex::end() { self.g.nodes[free_node.index()].next[1] = node_idx._into_edge(); } *free_node = node_idx; } /// Remove `a` from the graph if it exists, and return its weight. /// If it doesn't exist in the graph, return `None`. /// /// The node index `a` is invalidated, but none other. /// Edge indices are invalidated as they would be following the removal of /// each edge with an endpoint in `a`. /// /// Computes in **O(e')** time, where **e'** is the number of affected /// edges, including *n* calls to `.remove_edge()` where *n* is the number /// of edges with an endpoint in `a`. pub fn remove_node(&mut self, a: NodeIndex<Ix>) -> Option<N> { let node_weight = self.g.nodes.get_mut(a.index())?.weight.take()?; for d in &DIRECTIONS { let k = d.index(); // Remove all edges from and to this node. loop { let next = self.g.nodes[a.index()].next[k]; if next == EdgeIndex::end() { break; } let ret = self.remove_edge(next); debug_assert!(ret.is_some()); let _ = ret; } } let node_slot = &mut self.g.nodes[a.index()]; //let node_weight = replace(&mut self.g.nodes[a.index()].weight, Entry::Empty(self.free_node)); //self.g.nodes[a.index()].next = [EdgeIndex::end(), EdgeIndex::end()]; node_slot.next = [self.free_node._into_edge(), EdgeIndex::end()]; if self.free_node != NodeIndex::end() { self.g.nodes[self.free_node.index()].next[1] = a._into_edge(); } self.free_node = a; self.node_count -= 1; Some(node_weight) } pub fn contains_node(&self, a: NodeIndex<Ix>) -> bool { self.get_node(a).is_some() } // Return the Node if it is not vacant (non-None weight) fn get_node(&self, a: NodeIndex<Ix>) -> Option<&Node<Option<N>, Ix>> { self.g .nodes .get(a.index()) .and_then(|node| node.weight.as_ref().map(move |_| node)) } /// Add an edge from `a` to `b` to the graph, with its associated /// data `weight`. /// /// Return the index of the new edge. /// /// Computes in **O(1)** time. /// /// **Panics** if any of the nodes don't exist.<br> /// **Panics** if the `StableGraph` is at the maximum number of edges for /// its index type. /// /// **Note:** `StableGraph` allows adding parallel (“duplicate”) edges. pub fn add_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> EdgeIndex<Ix> { let edge_idx; let mut new_edge = None::<Edge<_, _>>; { let edge: &mut Edge<_, _>; if self.free_edge != EdgeIndex::end() { edge_idx = self.free_edge; edge = &mut self.g.edges[edge_idx.index()]; let _old = replace(&mut edge.weight, Some(weight)); debug_assert!(_old.is_none()); self.free_edge = edge.next[0]; edge.node = [a, b]; } else { edge_idx = EdgeIndex::new(self.g.edges.len()); assert!(<Ix as IndexType>::max().index() == !0 || EdgeIndex::end() != edge_idx); new_edge = Some(Edge { weight: Some(weight), node: [a, b], next: [EdgeIndex::end(); 2], }); edge = new_edge.as_mut().unwrap(); } let wrong_index = match index_twice(&mut self.g.nodes, a.index(), b.index()) { Pair::None => Some(cmp::max(a.index(), b.index())), Pair::One(an) => { if an.weight.is_none() { Some(a.index()) } else { edge.next = an.next; an.next[0] = edge_idx; an.next[1] = edge_idx; None } } Pair::Both(an, bn) => { // a and b are different indices if an.weight.is_none() { Some(a.index()) } else if bn.weight.is_none() { Some(b.index()) } else { edge.next = [an.next[0], bn.next[1]]; an.next[0] = edge_idx; bn.next[1] = edge_idx; None } } }; if let Some(i) = wrong_index { panic!( "StableGraph::add_edge: node index {} is not a node in the graph", i ); } self.edge_count += 1; } if let Some(edge) = new_edge { self.g.edges.push(edge); } edge_idx } /// free_edge: Which free list to update for the vacancy fn add_vacant_edge(&mut self, free_edge: &mut EdgeIndex<Ix>) { let edge_idx = EdgeIndex::new(self.g.edges.len()); debug_assert!(edge_idx != EdgeIndex::end()); let mut edge = Edge { weight: None, node: [NodeIndex::end(); 2], next: [EdgeIndex::end(); 2], }; edge.next[0] = *free_edge; *free_edge = edge_idx; self.g.edges.push(edge); } /// Add or update an edge from `a` to `b`. /// If the edge already exists, its weight is updated. /// /// Return the index of the affected edge. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to `a` (and `b`, if the graph edges are undirected). /// /// **Panics** if any of the nodes don't exist. pub fn update_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> EdgeIndex<Ix> { if let Some(ix) = self.find_edge(a, b) { self[ix] = weight; return ix; } self.add_edge(a, b, weight) } /// Remove an edge and return its edge weight, or `None` if it didn't exist. /// /// Invalidates the edge index `e` but no other. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to the same endpoints as `e`. pub fn remove_edge(&mut self, e: EdgeIndex<Ix>) -> Option<E> { // every edge is part of two lists, // outgoing and incoming edges. // Remove it from both let (is_edge, edge_node, edge_next) = match self.g.edges.get(e.index()) { None => return None, Some(x) => (x.weight.is_some(), x.node, x.next), }; if !is_edge { return None; } // Remove the edge from its in and out lists by replacing it with // a link to the next in the list. self.g.change_edge_links(edge_node, e, edge_next); // Clear the edge and put it in the free list let edge = &mut self.g.edges[e.index()]; edge.next = [self.free_edge, EdgeIndex::end()]; edge.node = [NodeIndex::end(), NodeIndex::end()]; self.free_edge = e; self.edge_count -= 1; edge.weight.take() } /// Access the weight for node `a`. /// /// Also available with indexing syntax: `&graph[a]`. pub fn node_weight(&self, a: NodeIndex<Ix>) -> Option<&N> { match self.g.nodes.get(a.index()) { Some(no) => no.weight.as_ref(), None => None, } } /// Access the weight for node `a`, mutably. /// /// Also available with indexing syntax: `&mut graph[a]`. pub fn node_weight_mut(&mut self, a: NodeIndex<Ix>) -> Option<&mut N> { match self.g.nodes.get_mut(a.index()) { Some(no) => no.weight.as_mut(), None => None, } } /// Return an iterator yielding immutable access to all node weights. /// /// The order in which weights are yielded matches the order of their node /// indices. pub fn node_weights(&self) -> impl Iterator<Item = &N> { self.g .node_weights() .filter_map(|maybe_node| maybe_node.as_ref()) } /// Return an iterator yielding mutable access to all node weights. /// /// The order in which weights are yielded matches the order of their node /// indices. pub fn node_weights_mut(&mut self) -> impl Iterator<Item = &mut N> { self.g .node_weights_mut() .filter_map(|maybe_node| maybe_node.as_mut()) } /// Return an iterator over the node indices of the graph pub fn node_indices(&self) -> NodeIndices<N, Ix> { NodeIndices { iter: enumerate(self.raw_nodes()), } } /// Access the weight for edge `e`. /// /// Also available with indexing syntax: `&graph[e]`. pub fn edge_weight(&self, e: EdgeIndex<Ix>) -> Option<&E> { match self.g.edges.get(e.index()) { Some(ed) => ed.weight.as_ref(), None => None, } } /// Access the weight for edge `e`, mutably /// /// Also available with indexing syntax: `&mut graph[e]`. pub fn edge_weight_mut(&mut self, e: EdgeIndex<Ix>) -> Option<&mut E> { match self.g.edges.get_mut(e.index()) { Some(ed) => ed.weight.as_mut(), None => None, } } /// Return an iterator yielding immutable access to all edge weights. /// /// The order in which weights are yielded matches the order of their edge /// indices. pub fn edge_weights(&self) -> impl Iterator<Item = &E> { self.g .edge_weights() .filter_map(|maybe_edge| maybe_edge.as_ref()) } /// Return an iterator yielding mutable access to all edge weights. /// /// The order in which weights are yielded matches the order of their edge /// indices. pub fn edge_weights_mut(&mut self) -> impl Iterator<Item = &mut E> { self.g .edge_weights_mut() .filter_map(|maybe_edge| maybe_edge.as_mut()) } /// Access the source and target nodes for `e`. pub fn edge_endpoints(&self, e: EdgeIndex<Ix>) -> Option<(NodeIndex<Ix>, NodeIndex<Ix>)> { match self.g.edges.get(e.index()) { Some(ed) if ed.weight.is_some() => Some((ed.source(), ed.target())), _otherwise => None, } } /// Return an iterator over the edge indices of the graph pub fn edge_indices(&self) -> EdgeIndices<E, Ix> { EdgeIndices { iter: enumerate(self.raw_edges()), } } /// Return an iterator over all the edges connecting `a` and `b`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edges_connecting( &self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, ) -> EdgesConnecting<E, Ty, Ix> { EdgesConnecting { target_node: b, edges: self.edges_directed(a, Direction::Outgoing), ty: PhantomData, } } /// Lookup if there is an edge from `a` to `b`. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to `a` (and `b`, if the graph edges are undirected). pub fn contains_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { self.find_edge(a, b).is_some() } /// Lookup an edge from `a` to `b`. /// /// Computes in **O(e')** time, where **e'** is the number of edges /// connected to `a` (and `b`, if the graph edges are undirected). pub fn find_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> Option<EdgeIndex<Ix>> { if !self.is_directed() { self.find_edge_undirected(a, b).map(|(ix, _)| ix) } else { match self.get_node(a) { None => None, Some(node) => self.g.find_edge_directed_from_node(node, b), } } } /// Lookup an edge between `a` and `b`, in either direction. /// /// If the graph is undirected, then this is equivalent to `.find_edge()`. /// /// Return the edge index and its directionality, with `Outgoing` meaning /// from `a` to `b` and `Incoming` the reverse, /// or `None` if the edge does not exist. pub fn find_edge_undirected( &self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, ) -> Option<(EdgeIndex<Ix>, Direction)> { match self.get_node(a) { None => None, Some(node) => self.g.find_edge_undirected_from_node(node, b), } } /// Return an iterator of all nodes with an edge starting from `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `NodeIndex<Ix>`. /// /// Use [`.neighbors(a).detach()`][1] to get a neighbor walker that does /// not borrow from the graph. /// /// [1]: struct.Neighbors.html#method.detach pub fn neighbors(&self, a: NodeIndex<Ix>) -> Neighbors<E, Ix> { self.neighbors_directed(a, Outgoing) } /// Return an iterator of all neighbors that have an edge between them and `a`, /// in the specified direction. /// If the graph's edges are undirected, this is equivalent to *.neighbors(a)*. /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`: All edges connected to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `NodeIndex<Ix>`. /// /// Use [`.neighbors_directed(a, dir).detach()`][1] to get a neighbor walker that does /// not borrow from the graph. /// /// [1]: struct.Neighbors.html#method.detach pub fn neighbors_directed(&self, a: NodeIndex<Ix>, dir: Direction) -> Neighbors<E, Ix> { let mut iter = self.neighbors_undirected(a); if self.is_directed() { let k = dir.index(); iter.next[1 - k] = EdgeIndex::end(); iter.skip_start = NodeIndex::end(); } iter } /// Return an iterator of all neighbors that have an edge between them and `a`, /// in either direction. /// If the graph's edges are undirected, this is equivalent to *.neighbors(a)*. /// /// - `Directed` and `Undirected`: All edges connected to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `NodeIndex<Ix>`. /// /// Use [`.neighbors_undirected(a).detach()`][1] to get a neighbor walker that does /// not borrow from the graph. /// /// [1]: struct.Neighbors.html#method.detach pub fn neighbors_undirected(&self, a: NodeIndex<Ix>) -> Neighbors<E, Ix> { Neighbors { skip_start: a, edges: &self.g.edges, next: match self.get_node(a) { None => [EdgeIndex::end(), EdgeIndex::end()], Some(n) => n.next, }, } } /// Return an iterator of all edges of `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edges(&self, a: NodeIndex<Ix>) -> Edges<E, Ty, Ix> { self.edges_directed(a, Outgoing) } /// Return an iterator of all edges of `a`, in the specified direction. /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`, `Outgoing`: All edges connected to `a`, with `a` being the source of each /// edge. /// - `Undirected`, `Incoming`: All edges connected to `a`, with `a` being the target of each /// edge. /// /// Produces an empty iterator if the node `a` doesn't exist.<br> /// Iterator element type is `EdgeReference<E, Ix>`. pub fn edges_directed(&self, a: NodeIndex<Ix>, dir: Direction) -> Edges<E, Ty, Ix> { Edges { skip_start: a, edges: &self.g.edges, direction: dir, next: match self.get_node(a) { None => [EdgeIndex::end(), EdgeIndex::end()], Some(n) => n.next, }, ty: PhantomData, } } /// Return an iterator over either the nodes without edges to them /// (`Incoming`) or from them (`Outgoing`). /// /// An *internal* node has both incoming and outgoing edges. /// The nodes in `.externals(Incoming)` are the source nodes and /// `.externals(Outgoing)` are the sinks of the graph. /// /// For a graph with undirected edges, both the sinks and the sources are /// just the nodes without edges. /// /// The whole iteration computes in **O(|V|)** time. pub fn externals(&self, dir: Direction) -> Externals<N, Ty, Ix> { Externals { iter: self.raw_nodes().iter().enumerate(), dir, ty: PhantomData, } } /// Index the `StableGraph` by two indices, any combination of /// node or edge indices is fine. /// /// **Panics** if the indices are equal or if they are out of bounds. pub fn index_twice_mut<T, U>( &mut self, i: T, j: U, ) -> ( &mut <Self as Index<T>>::Output, &mut <Self as Index<U>>::Output, ) where Self: IndexMut<T> + IndexMut<U>, T: GraphIndex, U: GraphIndex, { assert!(T::is_node_index() != U::is_node_index() || i.index() != j.index()); // Allow two mutable indexes here -- they are nonoverlapping unsafe { let self_mut = self as *mut _; ( <Self as IndexMut<T>>::index_mut(&mut *self_mut, i), <Self as IndexMut<U>>::index_mut(&mut *self_mut, j), ) } } /// Keep all nodes that return `true` from the `visit` closure, /// remove the others. /// /// `visit` is provided a proxy reference to the graph, so that /// the graph can be walked and associated data modified. /// /// The order nodes are visited is not specified. /// /// The node indices of the removed nodes are invalidated, but none other. /// Edge indices are invalidated as they would be following the removal of /// each edge with an endpoint in a removed node. /// /// Computes in **O(n + e')** time, where **n** is the number of node indices and /// **e'** is the number of affected edges, including *n* calls to `.remove_edge()` /// where *n* is the number of edges with an endpoint in a removed node. pub fn retain_nodes<F>(&mut self, mut visit: F) where F: FnMut(Frozen<Self>, NodeIndex<Ix>) -> bool, { for i in 0..self.node_bound() { let ix = node_index(i); if self.contains_node(ix) && !visit(Frozen(self), ix) { self.remove_node(ix); } } self.check_free_lists(); } /// Keep all edges that return `true` from the `visit` closure, /// remove the others. /// /// `visit` is provided a proxy reference to the graph, so that /// the graph can be walked and associated data modified. /// /// The order edges are visited is not specified. /// /// The edge indices of the removed edes are invalidated, but none other. /// /// Computes in **O(e'')** time, **e'** is the number of affected edges, /// including the calls to `.remove_edge()` for each removed edge. pub fn retain_edges<F>(&mut self, mut visit: F) where F: FnMut(Frozen<Self>, EdgeIndex<Ix>) -> bool, { for i in 0..self.edge_bound() { let ix = edge_index(i); if self.edge_weight(ix).is_some() && !visit(Frozen(self), ix) { self.remove_edge(ix); } } self.check_free_lists(); } /// Create a new `StableGraph` from an iterable of edges. /// /// Node weights `N` are set to default values. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. /// /// ``` /// use petgraph::stable_graph::StableGraph; /// /// let gr = StableGraph::<(), i32>::from_edges(&[ /// (0, 1), (0, 2), (0, 3), /// (1, 2), (1, 3), /// (2, 3), /// ]); /// ``` pub fn from_edges<I>(iterable: I) -> Self where I: IntoIterator, I::Item: IntoWeightedEdge<E>, <I::Item as IntoWeightedEdge<E>>::NodeId: Into<NodeIndex<Ix>>, N: Default, { let mut g = Self::with_capacity(0, 0); g.extend_with_edges(iterable); g } /// Create a new `StableGraph` by mapping node and /// edge weights to new values. /// /// The resulting graph has the same structure and the same /// graph indices as `self`. pub fn map<'a, F, G, N2, E2>( &'a self, mut node_map: F, mut edge_map: G, ) -> StableGraph<N2, E2, Ty, Ix> where F: FnMut(NodeIndex<Ix>, &'a N) -> N2, G: FnMut(EdgeIndex<Ix>, &'a E) -> E2, { let g = self.g.map( move |i, w| w.as_ref().map(|w| node_map(i, w)), move |i, w| w.as_ref().map(|w| edge_map(i, w)), ); StableGraph { g, node_count: self.node_count, edge_count: self.edge_count, free_node: self.free_node, free_edge: self.free_edge, } } /// Create a new `StableGraph` by mapping nodes and edges. /// A node or edge may be mapped to `None` to exclude it from /// the resulting graph. /// /// Nodes are mapped first with the `node_map` closure, then /// `edge_map` is called for the edges that have not had any endpoint /// removed. /// /// The resulting graph has the structure of a subgraph of the original graph. /// Nodes and edges that are not removed maintain their old node or edge /// indices. pub fn filter_map<'a, F, G, N2, E2>( &'a self, mut node_map: F, mut edge_map: G, ) -> StableGraph<N2, E2, Ty, Ix> where F: FnMut(NodeIndex<Ix>, &'a N) -> Option<N2>, G: FnMut(EdgeIndex<Ix>, &'a E) -> Option<E2>, { let node_bound = self.node_bound(); let edge_bound = self.edge_bound(); let mut result_g = StableGraph::with_capacity(node_bound, edge_bound); // use separate free lists so that // add_node / add_edge below do not reuse the tombstones let mut free_node = NodeIndex::end(); let mut free_edge = EdgeIndex::end(); // the stable graph keeps the node map itself for (i, node) in enumerate(self.raw_nodes()) { if i >= node_bound { break; } if let Some(node_weight) = node.weight.as_ref() { if let Some(new_weight) = node_map(NodeIndex::new(i), node_weight) { result_g.add_node(new_weight); continue; } } result_g.add_vacant_node(&mut free_node); } for (i, edge) in enumerate(self.raw_edges()) { if i >= edge_bound { break; } let source = edge.source(); let target = edge.target(); if let Some(edge_weight) = edge.weight.as_ref() { if result_g.contains_node(source) && result_g.contains_node(target) { if let Some(new_weight) = edge_map(EdgeIndex::new(i), edge_weight) { result_g.add_edge(source, target, new_weight); continue; } } } result_g.add_vacant_edge(&mut free_edge); } result_g.free_node = free_node; result_g.free_edge = free_edge; result_g.check_free_lists(); result_g } /// Extend the graph from an iterable of edges. /// /// Node weights `N` are set to default values. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. pub fn extend_with_edges<I>(&mut self, iterable: I) where I: IntoIterator, I::Item: IntoWeightedEdge<E>, <I::Item as IntoWeightedEdge<E>>::NodeId: Into<NodeIndex<Ix>>, N: Default, { let iter = iterable.into_iter(); for elt in iter { let (source, target, weight) = elt.into_weighted_edge(); let (source, target) = (source.into(), target.into()); self.ensure_node_exists(source); self.ensure_node_exists(target); self.add_edge(source, target, weight); } } // // internal methods // fn raw_nodes(&self) -> &[Node<Option<N>, Ix>] { self.g.raw_nodes() } fn raw_edges(&self) -> &[Edge<Option<E>, Ix>] { self.g.raw_edges() } /// Create a new node using a vacant position, /// updating the free nodes doubly linked list. fn occupy_vacant_node(&mut self, node_idx: NodeIndex<Ix>, weight: N) { let node_slot = &mut self.g.nodes[node_idx.index()]; let _old = replace(&mut node_slot.weight, Some(weight)); debug_assert!(_old.is_none()); let previous_node = node_slot.next[1]; let next_node = node_slot.next[0]; node_slot.next = [EdgeIndex::end(), EdgeIndex::end()]; if previous_node != EdgeIndex::end() { self.g.nodes[previous_node.index()].next[0] = next_node; } if next_node != EdgeIndex::end() { self.g.nodes[next_node.index()].next[1] = previous_node; } if self.free_node == node_idx { self.free_node = next_node._into_node(); } self.node_count += 1; } /// Create the node if it does not exist, /// adding vacant nodes for padding if needed. fn ensure_node_exists(&mut self, node_ix: NodeIndex<Ix>) where N: Default, { if let Some(Some(_)) = self.g.node_weight(node_ix) { return; } while node_ix.index() >= self.g.node_count() { let mut free_node = self.free_node; self.add_vacant_node(&mut free_node); self.free_node = free_node; } self.occupy_vacant_node(node_ix, N::default()); } #[cfg(feature = "serde-1")] /// Fix up node and edge links after deserialization fn link_edges(&mut self) -> Result<(), NodeIndex<Ix>> { // set up free node list self.node_count = 0; self.edge_count = 0; let mut free_node = NodeIndex::end(); for node_index in 0..self.g.node_count() { let node = &mut self.g.nodes[node_index]; if node.weight.is_some() { self.node_count += 1; } else { // free node node.next = [free_node._into_edge(), EdgeIndex::end()]; if free_node != NodeIndex::end() { self.g.nodes[free_node.index()].next[1] = EdgeIndex::new(node_index); } free_node = NodeIndex::new(node_index); } } self.free_node = free_node; let mut free_edge = EdgeIndex::end(); for (edge_index, edge) in enumerate(&mut self.g.edges) { if edge.weight.is_none() { // free edge edge.next = [free_edge, EdgeIndex::end()]; free_edge = EdgeIndex::new(edge_index); continue; } let a = edge.source(); let b = edge.target(); let edge_idx = EdgeIndex::new(edge_index); match index_twice(&mut self.g.nodes, a.index(), b.index()) { Pair::None => return Err(if a > b { a } else { b }), Pair::One(an) => { edge.next = an.next; an.next[0] = edge_idx; an.next[1] = edge_idx; } Pair::Both(an, bn) => { // a and b are different indices edge.next = [an.next[0], bn.next[1]]; an.next[0] = edge_idx; bn.next[1] = edge_idx; } } self.edge_count += 1; } self.free_edge = free_edge; Ok(()) } #[cfg(not(debug_assertions))] fn check_free_lists(&self) {} #[cfg(debug_assertions)] // internal method to debug check the free lists (linked lists) // For the nodes, also check the backpointers of the doubly linked list. fn check_free_lists(&self) { let mut free_node = self.free_node; let mut prev_free_node = NodeIndex::end(); let mut free_node_len = 0; while free_node != NodeIndex::end() { if let Some(n) = self.g.nodes.get(free_node.index()) { if n.weight.is_none() { debug_assert_eq!(n.next[1]._into_node(), prev_free_node); prev_free_node = free_node; free_node = n.next[0]._into_node(); free_node_len += 1; continue; } debug_assert!( false, "Corrupt free list: pointing to existing {:?}", free_node.index() ); } debug_assert!(false, "Corrupt free list: missing {:?}", free_node.index()); } debug_assert_eq!(self.node_count(), self.raw_nodes().len() - free_node_len); let mut free_edge_len = 0; let mut free_edge = self.free_edge; while free_edge != EdgeIndex::end() { if let Some(n) = self.g.edges.get(free_edge.index()) { if n.weight.is_none() { free_edge = n.next[0]; free_edge_len += 1; continue; } debug_assert!( false, "Corrupt free list: pointing to existing {:?}", free_node.index() ); } debug_assert!(false, "Corrupt free list: missing {:?}", free_edge.index()); } debug_assert_eq!(self.edge_count(), self.raw_edges().len() - free_edge_len); } } /// The resulting cloned graph has the same graph indices as `self`. impl<N, E, Ty, Ix: IndexType> Clone for StableGraph<N, E, Ty, Ix> where N: Clone, E: Clone, { fn clone(&self) -> Self { StableGraph { g: self.g.clone(), node_count: self.node_count, edge_count: self.edge_count, free_node: self.free_node, free_edge: self.free_edge, } } fn clone_from(&mut self, rhs: &Self) { self.g.clone_from(&rhs.g); self.node_count = rhs.node_count; self.edge_count = rhs.edge_count; self.free_node = rhs.free_node; self.free_edge = rhs.free_edge; } } /// Index the `StableGraph` by `NodeIndex` to access node weights. /// /// **Panics** if the node doesn't exist. impl<N, E, Ty, Ix> Index<NodeIndex<Ix>> for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Output = N; fn index(&self, index: NodeIndex<Ix>) -> &N { self.node_weight(index).unwrap() } } /// Index the `StableGraph` by `NodeIndex` to access node weights. /// /// **Panics** if the node doesn't exist. impl<N, E, Ty, Ix> IndexMut<NodeIndex<Ix>> for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn index_mut(&mut self, index: NodeIndex<Ix>) -> &mut N { self.node_weight_mut(index).unwrap() } } /// Index the `StableGraph` by `EdgeIndex` to access edge weights. /// /// **Panics** if the edge doesn't exist. impl<N, E, Ty, Ix> Index<EdgeIndex<Ix>> for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Output = E; fn index(&self, index: EdgeIndex<Ix>) -> &E { self.edge_weight(index).unwrap() } } /// Index the `StableGraph` by `EdgeIndex` to access edge weights. /// /// **Panics** if the edge doesn't exist. impl<N, E, Ty, Ix> IndexMut<EdgeIndex<Ix>> for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn index_mut(&mut self, index: EdgeIndex<Ix>) -> &mut E { self.edge_weight_mut(index).unwrap() } } /// Create a new empty `StableGraph`. impl<N, E, Ty, Ix> Default for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn default() -> Self { Self::with_capacity(0, 0) } } /// Convert a `Graph` into a `StableGraph` /// /// Computes in **O(|V| + |E|)** time. /// /// The resulting graph has the same node and edge indices as /// the original graph. impl<N, E, Ty, Ix> From<Graph<N, E, Ty, Ix>> for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn from(g: Graph<N, E, Ty, Ix>) -> Self { let nodes = g.nodes.into_iter().map(|e| Node { weight: Some(e.weight), next: e.next, }); let edges = g.edges.into_iter().map(|e| Edge { weight: Some(e.weight), node: e.node, next: e.next, }); StableGraph { node_count: nodes.len(), edge_count: edges.len(), g: Graph { edges: edges.collect(), nodes: nodes.collect(), ty: g.ty, }, free_node: NodeIndex::end(), free_edge: EdgeIndex::end(), } } } /// Convert a `StableGraph` into a `Graph` /// /// Computes in **O(|V| + |E|)** time. /// /// This translates the stable graph into a graph with node and edge indices in /// a compact interval without holes (like `Graph`s always are). /// /// Only if the stable graph had no vacancies after deletions (if node bound was /// equal to node count, and the same for edges), would the resulting graph have /// the same node and edge indices as the input. impl<N, E, Ty, Ix> From<StableGraph<N, E, Ty, Ix>> for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn from(graph: StableGraph<N, E, Ty, Ix>) -> Self { let mut result_g = Graph::with_capacity(graph.node_count(), graph.edge_count()); // mapping from old node index to new node index let mut node_index_map = vec![NodeIndex::end(); graph.node_bound()]; for (i, node) in enumerate(graph.g.nodes) { if let Some(nw) = node.weight { node_index_map[i] = result_g.add_node(nw); } } for edge in graph.g.edges { let source_index = edge.source().index(); let target_index = edge.target().index(); if let Some(ew) = edge.weight { let source = node_index_map[source_index]; let target = node_index_map[target_index]; debug_assert!(source != NodeIndex::end()); debug_assert!(target != NodeIndex::end()); result_g.add_edge(source, target, ew); } } result_g } } /// Iterator over all nodes of a graph. #[derive(Debug, Clone)] pub struct NodeReferences<'a, N: 'a, Ix: IndexType = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Node<Option<N>, Ix>>>, } impl<'a, N, Ix> Iterator for NodeReferences<'a, N, Ix> where Ix: IndexType, { type Item = (NodeIndex<Ix>, &'a N); fn next(&mut self) -> Option<Self::Item> { self.iter .ex_find_map(|(i, node)| node.weight.as_ref().map(move |w| (node_index(i), w))) } fn size_hint(&self) -> (usize, Option<usize>) { let (_, hi) = self.iter.size_hint(); (0, hi) } } impl<'a, N, Ix> DoubleEndedIterator for NodeReferences<'a, N, Ix> where Ix: IndexType, { fn next_back(&mut self) -> Option<Self::Item> { self.iter .ex_rfind_map(|(i, node)| node.weight.as_ref().map(move |w| (node_index(i), w))) } } /// Reference to a `StableGraph` edge. #[derive(Debug)] pub struct EdgeReference<'a, E: 'a, Ix = DefaultIx> { index: EdgeIndex<Ix>, node: [NodeIndex<Ix>; 2], weight: &'a E, } impl<'a, E, Ix: IndexType> Clone for EdgeReference<'a, E, Ix> { fn clone(&self) -> Self { *self } } impl<'a, E, Ix: IndexType> Copy for EdgeReference<'a, E, Ix> {} impl<'a, E, Ix: IndexType> PartialEq for EdgeReference<'a, E, Ix> where E: PartialEq, { fn eq(&self, rhs: &Self) -> bool { self.index == rhs.index && self.weight == rhs.weight } } impl<'a, Ix, E> EdgeReference<'a, E, Ix> where Ix: IndexType, { /// Access the edge’s weight. /// /// **NOTE** that this method offers a longer lifetime /// than the trait (unfortunately they don't match yet). pub fn weight(&self) -> &'a E { self.weight } } /// Iterator over the edges of from or to a node #[derive(Debug, Clone)] pub struct Edges<'a, E: 'a, Ty, Ix: 'a = DefaultIx> where Ty: EdgeType, Ix: IndexType, { /// starting node to skip over skip_start: NodeIndex<Ix>, edges: &'a [Edge<Option<E>, Ix>], /// Next edge to visit. next: [EdgeIndex<Ix>; 2], /// For directed graphs: the direction to iterate in /// For undirected graphs: the direction of edges direction: Direction, ty: PhantomData<Ty>, } impl<'a, E, Ty, Ix> Iterator for Edges<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = EdgeReference<'a, E, Ix>; fn next(&mut self) -> Option<Self::Item> { // type direction | iterate over reverse // | // Directed Outgoing | outgoing no // Directed Incoming | incoming no // Undirected Outgoing | both incoming // Undirected Incoming | both outgoing // For iterate_over, "both" is represented as None. // For reverse, "no" is represented as None. let (iterate_over, reverse) = if Ty::is_directed() { (Some(self.direction), None) } else { (None, Some(self.direction.opposite())) }; if iterate_over.unwrap_or(Outgoing) == Outgoing { let i = self.next[0].index(); if let Some(Edge { node, weight: Some(weight), next, }) = self.edges.get(i) { self.next[0] = next[0]; return Some(EdgeReference { index: edge_index(i), node: if reverse == Some(Outgoing) { swap_pair(*node) } else { *node }, weight, }); } } if iterate_over.unwrap_or(Incoming) == Incoming { while let Some(Edge { node, weight, next }) = self.edges.get(self.next[1].index()) { debug_assert!(weight.is_some()); let edge_index = self.next[1]; self.next[1] = next[1]; // In any of the "both" situations, self-loops would be iterated over twice. // Skip them here. if iterate_over.is_none() && node[0] == self.skip_start { continue; } return Some(EdgeReference { index: edge_index, node: if reverse == Some(Incoming) { swap_pair(*node) } else { *node }, weight: weight.as_ref().unwrap(), }); } } None } } /// Iterator over the multiple directed edges connecting a source node to a target node #[derive(Debug, Clone)] pub struct EdgesConnecting<'a, E: 'a, Ty, Ix: 'a = DefaultIx> where Ty: EdgeType, Ix: IndexType, { target_node: NodeIndex<Ix>, edges: Edges<'a, E, Ty, Ix>, ty: PhantomData<Ty>, } impl<'a, E, Ty, Ix> Iterator for EdgesConnecting<'a, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = EdgeReference<'a, E, Ix>; fn next(&mut self) -> Option<EdgeReference<'a, E, Ix>> { let target_node = self.target_node; self.edges .by_ref() .find(|&edge| edge.node[1] == target_node) } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.edges.size_hint(); (0, upper) } } fn swap_pair<T>(mut x: [T; 2]) -> [T; 2] { x.swap(0, 1); x } /// Iterator over all edges of a graph. #[derive(Debug, Clone)] pub struct EdgeReferences<'a, E: 'a, Ix: 'a = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Edge<Option<E>, Ix>>>, } impl<'a, E, Ix> Iterator for EdgeReferences<'a, E, Ix> where Ix: IndexType, { type Item = EdgeReference<'a, E, Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.ex_find_map(|(i, edge)| { edge.weight.as_ref().map(move |weight| EdgeReference { index: edge_index(i), node: edge.node, weight, }) }) } } impl<'a, E, Ix> DoubleEndedIterator for EdgeReferences<'a, E, Ix> where Ix: IndexType, { fn next_back(&mut self) -> Option<Self::Item> { self.iter.ex_rfind_map(|(i, edge)| { edge.weight.as_ref().map(move |weight| EdgeReference { index: edge_index(i), node: edge.node, weight, }) }) } } /// An iterator over either the nodes without edges to them or from them. #[derive(Debug, Clone)] pub struct Externals<'a, N: 'a, Ty, Ix: IndexType = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Node<Option<N>, Ix>>>, dir: Direction, ty: PhantomData<Ty>, } impl<'a, N: 'a, Ty, Ix> Iterator for Externals<'a, N, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<NodeIndex<Ix>> { let k = self.dir.index(); loop { match self.iter.next() { None => return None, Some((index, node)) => { if node.weight.is_some() && node.next[k] == EdgeIndex::end() && (Ty::is_directed() || node.next[1 - k] == EdgeIndex::end()) { return Some(NodeIndex::new(index)); } else { continue; } } } } } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } /// Iterator over the neighbors of a node. /// /// Iterator element type is `NodeIndex`. #[derive(Debug, Clone)] pub struct Neighbors<'a, E: 'a, Ix: 'a = DefaultIx> { /// starting node to skip over skip_start: NodeIndex<Ix>, edges: &'a [Edge<Option<E>, Ix>], next: [EdgeIndex<Ix>; 2], } impl<'a, E, Ix> Neighbors<'a, E, Ix> where Ix: IndexType, { /// Return a “walker” object that can be used to step through the /// neighbors and edges from the origin node. /// /// Note: The walker does not borrow from the graph, this is to allow mixing /// edge walking with mutating the graph's weights. pub fn detach(&self) -> WalkNeighbors<Ix> { WalkNeighbors { inner: super::WalkNeighbors { skip_start: self.skip_start, next: self.next, }, } } } impl<'a, E, Ix> Iterator for Neighbors<'a, E, Ix> where Ix: IndexType, { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<NodeIndex<Ix>> { // First any outgoing edges match self.edges.get(self.next[0].index()) { None => {} Some(edge) => { debug_assert!(edge.weight.is_some()); self.next[0] = edge.next[0]; return Some(edge.node[1]); } } // Then incoming edges // For an "undirected" iterator (traverse both incoming // and outgoing edge lists), make sure we don't double // count selfloops by skipping them in the incoming list. while let Some(edge) = self.edges.get(self.next[1].index()) { debug_assert!(edge.weight.is_some()); self.next[1] = edge.next[1]; if edge.node[0] != self.skip_start { return Some(edge.node[0]); } } None } } /// A “walker” object that can be used to step through the edge list of a node. /// /// See [*.detach()*](struct.Neighbors.html#method.detach) for more information. /// /// The walker does not borrow from the graph, so it lets you step through /// neighbors or incident edges while also mutating graph weights, as /// in the following example: /// /// ``` /// use petgraph::visit::Dfs; /// use petgraph::Incoming; /// use petgraph::stable_graph::StableGraph; /// /// let mut gr = StableGraph::new(); /// let a = gr.add_node(0.); /// let b = gr.add_node(0.); /// let c = gr.add_node(0.); /// gr.add_edge(a, b, 3.); /// gr.add_edge(b, c, 2.); /// gr.add_edge(c, b, 1.); /// /// // step through the graph and sum incoming edges into the node weight /// let mut dfs = Dfs::new(&gr, a); /// while let Some(node) = dfs.next(&gr) { /// // use a detached neighbors walker /// let mut edges = gr.neighbors_directed(node, Incoming).detach(); /// while let Some(edge) = edges.next_edge(&gr) { /// gr[node] += gr[edge]; /// } /// } /// /// // check the result /// assert_eq!(gr[a], 0.); /// assert_eq!(gr[b], 4.); /// assert_eq!(gr[c], 2.); /// ``` pub struct WalkNeighbors<Ix> { inner: super::WalkNeighbors<Ix>, } impl<Ix: IndexType> Clone for WalkNeighbors<Ix> { clone_fields!(WalkNeighbors, inner); } impl<Ix: IndexType> WalkNeighbors<Ix> { /// Step to the next edge and its endpoint node in the walk for graph `g`. /// /// The next node indices are always the others than the starting point /// where the `WalkNeighbors` value was created. /// For an `Outgoing` walk, the target nodes, /// for an `Incoming` walk, the source nodes of the edge. pub fn next<N, E, Ty: EdgeType>( &mut self, g: &StableGraph<N, E, Ty, Ix>, ) -> Option<(EdgeIndex<Ix>, NodeIndex<Ix>)> { self.inner.next(&g.g) } pub fn next_node<N, E, Ty: EdgeType>( &mut self, g: &StableGraph<N, E, Ty, Ix>, ) -> Option<NodeIndex<Ix>> { self.next(g).map(|t| t.1) } pub fn next_edge<N, E, Ty: EdgeType>( &mut self, g: &StableGraph<N, E, Ty, Ix>, ) -> Option<EdgeIndex<Ix>> { self.next(g).map(|t| t.0) } } /// Iterator over the node indices of a graph. #[derive(Debug, Clone)] pub struct NodeIndices<'a, N: 'a, Ix: 'a = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Node<Option<N>, Ix>>>, } impl<'a, N, Ix: IndexType> Iterator for NodeIndices<'a, N, Ix> { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.ex_find_map(|(i, node)| { if node.weight.is_some() { Some(node_index(i)) } else { None } }) } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<'a, N, Ix: IndexType> DoubleEndedIterator for NodeIndices<'a, N, Ix> { fn next_back(&mut self) -> Option<Self::Item> { self.iter.ex_rfind_map(|(i, node)| { if node.weight.is_some() { Some(node_index(i)) } else { None } }) } } /// Iterator over the edge indices of a graph. #[derive(Debug, Clone)] pub struct EdgeIndices<'a, E: 'a, Ix: 'a = DefaultIx> { iter: iter::Enumerate<slice::Iter<'a, Edge<Option<E>, Ix>>>, } impl<'a, E, Ix: IndexType> Iterator for EdgeIndices<'a, E, Ix> { type Item = EdgeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.ex_find_map(|(i, node)| { if node.weight.is_some() { Some(edge_index(i)) } else { None } }) } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<'a, E, Ix: IndexType> DoubleEndedIterator for EdgeIndices<'a, E, Ix> { fn next_back(&mut self) -> Option<Self::Item> { self.iter.ex_rfind_map(|(i, node)| { if node.weight.is_some() { Some(edge_index(i)) } else { None } }) } } impl<N, E, Ty, Ix> visit::GraphBase for StableGraph<N, E, Ty, Ix> where Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex<Ix>; } impl<N, E, Ty, Ix> visit::Visitable for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Map = FixedBitSet; fn visit_map(&self) -> FixedBitSet { FixedBitSet::with_capacity(self.node_bound()) } fn reset_map(&self, map: &mut Self::Map) { map.clear(); map.grow(self.node_bound()); } } impl<N, E, Ty, Ix> visit::Data for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeWeight = N; type EdgeWeight = E; } impl<N, E, Ty, Ix> visit::GraphProp for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgeType = Ty; } impl<'a, N, E: 'a, Ty, Ix> visit::IntoNodeIdentifiers for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeIdentifiers = NodeIndices<'a, N, Ix>; fn node_identifiers(self) -> Self::NodeIdentifiers { StableGraph::node_indices(self) } } impl<N, E, Ty, Ix> visit::NodeCount for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn node_count(&self) -> usize { self.node_count() } } impl<'a, N, E, Ty, Ix> visit::IntoNodeReferences for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NodeRef = (NodeIndex<Ix>, &'a N); type NodeReferences = NodeReferences<'a, N, Ix>; fn node_references(self) -> Self::NodeReferences { NodeReferences { iter: enumerate(self.raw_nodes()), } } } impl<N, E, Ty, Ix> visit::NodeIndexable for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { /// Return an upper bound of the node indices in the graph fn node_bound(&self) -> usize { self.node_indices().next_back().map_or(0, |i| i.index() + 1) } fn to_index(&self, ix: NodeIndex<Ix>) -> usize { ix.index() } fn from_index(&self, ix: usize) -> Self::NodeId { NodeIndex::new(ix) } } impl<'a, N, E: 'a, Ty, Ix> visit::IntoNeighbors for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Neighbors = Neighbors<'a, E, Ix>; fn neighbors(self, n: Self::NodeId) -> Self::Neighbors { (*self).neighbors(n) } } impl<'a, N, E: 'a, Ty, Ix> visit::IntoNeighborsDirected for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type NeighborsDirected = Neighbors<'a, E, Ix>; fn neighbors_directed(self, n: NodeIndex<Ix>, d: Direction) -> Self::NeighborsDirected { StableGraph::neighbors_directed(self, n, d) } } impl<'a, N, E, Ty, Ix> visit::IntoEdges for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type Edges = Edges<'a, E, Ty, Ix>; fn edges(self, a: Self::NodeId) -> Self::Edges { self.edges(a) } } impl<'a, Ix, E> visit::EdgeRef for EdgeReference<'a, E, Ix> where Ix: IndexType, { type NodeId = NodeIndex<Ix>; type EdgeId = EdgeIndex<Ix>; type Weight = E; fn source(&self) -> Self::NodeId { self.node[0] } fn target(&self) -> Self::NodeId { self.node[1] } fn weight(&self) -> &E { self.weight } fn id(&self) -> Self::EdgeId { self.index } } impl<N, E, Ty, Ix> visit::EdgeIndexable for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { fn edge_bound(&self) -> usize { self.edge_references() .next_back() .map_or(0, |edge| edge.id().index() + 1) } fn to_index(&self, ix: EdgeIndex<Ix>) -> usize { ix.index() } fn from_index(&self, ix: usize) -> Self::EdgeId { EdgeIndex::new(ix) } } impl<'a, N, E, Ty, Ix> visit::IntoEdgesDirected for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgesDirected = Edges<'a, E, Ty, Ix>; fn edges_directed(self, a: Self::NodeId, dir: Direction) -> Self::EdgesDirected { self.edges_directed(a, dir) } } impl<'a, N: 'a, E: 'a, Ty, Ix> visit::IntoEdgeReferences for &'a StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type EdgeRef = EdgeReference<'a, E, Ix>; type EdgeReferences = EdgeReferences<'a, E, Ix>; /// Create an iterator over all edges in the graph, in indexed order. /// /// Iterator element type is `EdgeReference<E, Ix>`. fn edge_references(self) -> Self::EdgeReferences { EdgeReferences { iter: self.g.edges.iter().enumerate(), } } } impl<N, E, Ty, Ix> visit::EdgeCount for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { #[inline] fn edge_count(&self) -> usize { self.edge_count() } } #[test] fn stable_graph() { let mut gr = StableGraph::<_, _>::with_capacity(0, 0); let a = gr.add_node(0); let b = gr.add_node(1); let c = gr.add_node(2); let _ed = gr.add_edge(a, b, 1); println!("{:?}", gr); gr.remove_node(b); println!("{:?}", gr); let d = gr.add_node(3); println!("{:?}", gr); gr.check_free_lists(); gr.remove_node(a); gr.check_free_lists(); gr.remove_node(c); gr.check_free_lists(); println!("{:?}", gr); gr.add_edge(d, d, 2); println!("{:?}", gr); let e = gr.add_node(4); gr.add_edge(d, e, 3); println!("{:?}", gr); for neigh in gr.neighbors(d) { println!("edge {:?} -> {:?}", d, neigh); } gr.check_free_lists(); } #[test] fn dfs() { use crate::visit::Dfs; let mut gr = StableGraph::<_, _>::with_capacity(0, 0); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); let d = gr.add_node("d"); gr.add_edge(a, b, 1); gr.add_edge(a, c, 2); gr.add_edge(b, c, 3); gr.add_edge(b, d, 4); gr.add_edge(c, d, 5); gr.add_edge(d, b, 6); gr.add_edge(c, b, 7); println!("{:?}", gr); let mut dfs = Dfs::new(&gr, a); while let Some(next) = dfs.next(&gr) { println!("dfs visit => {:?}, weight={:?}", next, &gr[next]); } } #[test] fn test_retain_nodes() { let mut gr = StableGraph::<_, _>::with_capacity(6, 6); let a = gr.add_node("a"); let f = gr.add_node("f"); let b = gr.add_node("b"); let c = gr.add_node("c"); let d = gr.add_node("d"); let e = gr.add_node("e"); gr.add_edge(a, b, 1); gr.add_edge(a, c, 2); gr.add_edge(b, c, 3); gr.add_edge(b, d, 4); gr.add_edge(c, d, 5); gr.add_edge(d, b, 6); gr.add_edge(c, b, 7); gr.add_edge(d, e, 8); gr.remove_node(f); assert_eq!(gr.node_count(), 5); assert_eq!(gr.edge_count(), 8); gr.retain_nodes(|frozen_gr, ix| frozen_gr[ix] >= "c"); assert_eq!(gr.node_count(), 3); assert_eq!(gr.edge_count(), 2); gr.check_free_lists(); } #[test] fn extend_with_edges() { let mut gr = StableGraph::<_, _>::default(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); let _d = gr.add_node("d"); gr.remove_node(a); gr.remove_node(b); gr.remove_node(c); gr.extend_with_edges(vec![(0, 1, ())]); assert_eq!(gr.node_count(), 3); assert_eq!(gr.edge_count(), 1); gr.check_free_lists(); gr.extend_with_edges(vec![(5, 1, ())]); assert_eq!(gr.node_count(), 4); assert_eq!(gr.edge_count(), 2); gr.check_free_lists(); } #[test] fn test_reverse() { let mut gr = StableGraph::<_, _>::default(); let a = gr.add_node("a"); let b = gr.add_node("b"); gr.add_edge(a, b, 0); let mut reversed_gr = gr.clone(); reversed_gr.reverse(); for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Incoming), reversed_gr.edges(i)); } } �����������������������������������������petgraph-0.6.4/src/graph_impl/stable_graph/serialization.rs�����������������������������������������0000644�0000000�0000000�00000020757�10461020230�0022247�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use serde::de::Error; use serde::{Deserialize, Deserializer, Serialize, Serializer}; use std::marker::PhantomData; use crate::prelude::*; use crate::graph::Node; use crate::graph::{Edge, IndexType}; use crate::serde_utils::CollectSeqWithLength; use crate::serde_utils::MappedSequenceVisitor; use crate::serde_utils::{FromDeserialized, IntoSerializable}; use crate::stable_graph::StableGraph; use crate::visit::{EdgeIndexable, NodeIndexable}; use crate::EdgeType; use super::super::serialization::{ invalid_hole_err, invalid_length_err, invalid_node_err, EdgeProperty, }; // Serialization representation for StableGraph // Keep in sync with deserialization and Graph #[derive(Serialize)] #[serde(rename = "Graph")] #[serde(bound(serialize = "N: Serialize, E: Serialize, Ix: IndexType + Serialize"))] pub struct SerStableGraph<'a, N: 'a, E: 'a, Ix: 'a + IndexType> { nodes: Somes<&'a [Node<Option<N>, Ix>]>, node_holes: Holes<&'a [Node<Option<N>, Ix>]>, edge_property: EdgeProperty, #[serde(serialize_with = "ser_stable_graph_edges")] edges: &'a [Edge<Option<E>, Ix>], } // Deserialization representation for StableGraph // Keep in sync with serialization and Graph #[derive(Deserialize)] #[serde(rename = "Graph")] #[serde(bound( deserialize = "N: Deserialize<'de>, E: Deserialize<'de>, Ix: IndexType + Deserialize<'de>" ))] pub struct DeserStableGraph<N, E, Ix> { #[serde(deserialize_with = "deser_stable_graph_nodes")] nodes: Vec<Node<Option<N>, Ix>>, #[serde(default = "Vec::new")] node_holes: Vec<NodeIndex<Ix>>, edge_property: EdgeProperty, #[serde(deserialize_with = "deser_stable_graph_edges")] edges: Vec<Edge<Option<E>, Ix>>, } /// `Somes` are the present node weights N, with known length. struct Somes<T>(usize, T); impl<'a, N, Ix> Serialize for Somes<&'a [Node<Option<N>, Ix>]> where N: Serialize, { fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, { serializer.collect_seq_with_length( self.0, self.1.iter().filter_map(|node| node.weight.as_ref()), ) } } /// Holes are the node indices of vacancies, with known length struct Holes<T>(usize, T); impl<'a, N, Ix> Serialize for Holes<&'a [Node<Option<N>, Ix>]> where Ix: Serialize + IndexType, { fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, { serializer.collect_seq_with_length( self.0, self.1.iter().enumerate().filter_map(|(i, node)| { if node.weight.is_none() { Some(NodeIndex::<Ix>::new(i)) } else { None } }), ) } } fn ser_stable_graph_edges<S, E, Ix>( edges: &&[Edge<Option<E>, Ix>], serializer: S, ) -> Result<S::Ok, S::Error> where S: Serializer, E: Serialize, Ix: Serialize + IndexType, { serializer.collect_seq_exact(edges.iter().map(|edge| { edge.weight .as_ref() .map(|w| (edge.source(), edge.target(), w)) })) } fn deser_stable_graph_nodes<'de, D, N, Ix>( deserializer: D, ) -> Result<Vec<Node<Option<N>, Ix>>, D::Error> where D: Deserializer<'de>, N: Deserialize<'de>, Ix: IndexType + Deserialize<'de>, { deserializer.deserialize_seq(MappedSequenceVisitor::new(|n| { Ok(Node { weight: Some(n), next: [EdgeIndex::end(); 2], }) })) } fn deser_stable_graph_edges<'de, D, N, Ix>( deserializer: D, ) -> Result<Vec<Edge<Option<N>, Ix>>, D::Error> where D: Deserializer<'de>, N: Deserialize<'de>, Ix: IndexType + Deserialize<'de>, { deserializer.deserialize_seq(MappedSequenceVisitor::< Option<(NodeIndex<Ix>, NodeIndex<Ix>, N)>, _, _, >::new(|x| { if let Some((i, j, w)) = x { Ok(Edge { weight: Some(w), node: [i, j], next: [EdgeIndex::end(); 2], }) } else { Ok(Edge { weight: None, node: [NodeIndex::end(); 2], next: [EdgeIndex::end(); 2], }) } })) } impl<'a, N, E, Ty, Ix> IntoSerializable for &'a StableGraph<N, E, Ty, Ix> where Ix: IndexType, Ty: EdgeType, { type Output = SerStableGraph<'a, N, E, Ix>; fn into_serializable(self) -> Self::Output { let nodes = &self.raw_nodes()[..self.node_bound()]; let node_count = self.node_count(); let hole_count = nodes.len() - node_count; let edges = &self.raw_edges()[..self.edge_bound()]; SerStableGraph { nodes: Somes(node_count, nodes), node_holes: Holes(hole_count, nodes), edges: edges, edge_property: EdgeProperty::from(PhantomData::<Ty>), } } } /// Requires crate feature `"serde-1"` impl<N, E, Ty, Ix> Serialize for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType + Serialize, N: Serialize, E: Serialize, { fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer, { self.into_serializable().serialize(serializer) } } impl<'a, N, E, Ty, Ix> FromDeserialized for StableGraph<N, E, Ty, Ix> where Ix: IndexType, Ty: EdgeType, { type Input = DeserStableGraph<N, E, Ix>; fn from_deserialized<E2>(input: Self::Input) -> Result<Self, E2> where E2: Error, { let ty = PhantomData::<Ty>::from_deserialized(input.edge_property)?; let node_holes = input.node_holes; let edges = input.edges; if edges.len() >= <Ix as IndexType>::max().index() { Err(invalid_length_err::<Ix, _>("edge", edges.len()))? } let total_nodes = input.nodes.len() + node_holes.len(); let mut nodes = Vec::with_capacity(total_nodes); let mut compact_nodes = input.nodes.into_iter(); let mut node_pos = 0; for hole_pos in node_holes.iter() { let hole_pos = hole_pos.index(); if !(node_pos..total_nodes).contains(&hole_pos) { return Err(invalid_hole_err(hole_pos)); } nodes.extend(compact_nodes.by_ref().take(hole_pos - node_pos)); nodes.push(Node { weight: None, next: [EdgeIndex::end(); 2], }); node_pos = hole_pos + 1; debug_assert_eq!(nodes.len(), node_pos); } nodes.extend(compact_nodes); if nodes.len() >= <Ix as IndexType>::max().index() { Err(invalid_length_err::<Ix, _>("node", nodes.len()))? } let node_bound = nodes.len(); let mut sgr = StableGraph { g: Graph { nodes: nodes, edges: edges, ty: ty, }, node_count: 0, edge_count: 0, free_edge: EdgeIndex::end(), free_node: NodeIndex::end(), }; sgr.link_edges() .map_err(|i| invalid_node_err(i.index(), node_bound))?; Ok(sgr) } } /// Requires crate feature `"serde-1"` impl<'de, N, E, Ty, Ix> Deserialize<'de> for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType + Deserialize<'de>, N: Deserialize<'de>, E: Deserialize<'de>, { fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where D: Deserializer<'de>, { Self::from_deserialized(DeserStableGraph::deserialize(deserializer)?) } } #[test] fn test_from_deserialized_with_holes() { use crate::graph::node_index; use crate::stable_graph::StableUnGraph; use itertools::assert_equal; use serde::de::value::Error as SerdeError; let input = DeserStableGraph::<_, (), u32> { nodes: vec![ Node { weight: Some(1), next: [EdgeIndex::end(); 2], }, Node { weight: Some(4), next: [EdgeIndex::end(); 2], }, Node { weight: Some(5), next: [EdgeIndex::end(); 2], }, ], node_holes: vec![node_index(0), node_index(2), node_index(3), node_index(6)], edges: vec![], edge_property: EdgeProperty::Undirected, }; let graph = StableUnGraph::from_deserialized::<SerdeError>(input).unwrap(); assert_eq!(graph.node_count(), 3); assert_equal( graph.raw_nodes().iter().map(|n| n.weight.as_ref().cloned()), vec![None, Some(1), None, None, Some(4), Some(5), None], ); } �����������������petgraph-0.6.4/src/graphmap.rs����������������������������������������������������������������������0000644�0000000�0000000�00000102740�10461020230�0014405�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! `GraphMap<N, E, Ty>` is a graph datastructure where node values are mapping //! keys. use indexmap::map::Keys; use indexmap::map::{Iter as IndexMapIter, IterMut as IndexMapIterMut}; use indexmap::IndexMap; use std::cmp::Ordering; use std::collections::HashSet; use std::fmt; use std::hash::{self, Hash}; use std::iter::FromIterator; use std::iter::{Cloned, DoubleEndedIterator}; use std::marker::PhantomData; use std::mem; use std::ops::{Deref, Index, IndexMut}; use std::slice::Iter; use crate::{Directed, Direction, EdgeType, Incoming, Outgoing, Undirected}; use crate::graph::node_index; use crate::graph::Graph; use crate::visit; use crate::IntoWeightedEdge; /// A `GraphMap` with undirected edges. /// /// For example, an edge between *1* and *2* is equivalent to an edge between /// *2* and *1*. pub type UnGraphMap<N, E> = GraphMap<N, E, Undirected>; /// A `GraphMap` with directed edges. /// /// For example, an edge from *1* to *2* is distinct from an edge from *2* to /// *1*. pub type DiGraphMap<N, E> = GraphMap<N, E, Directed>; /// `GraphMap<N, E, Ty>` is a graph datastructure using an associative array /// of its node weights `N`. /// /// It uses an combined adjacency list and sparse adjacency matrix /// representation, using **O(|V| + |E|)** space, and allows testing for edge /// existence in constant time. /// /// `GraphMap` is parameterized over: /// /// - Associated data `N` for nodes and `E` for edges, called *weights*. /// - The node weight `N` must implement `Copy` and will be used as node /// identifier, duplicated into several places in the data structure. /// It must be suitable as a hash table key (implementing `Eq + Hash`). /// The node type must also implement `Ord` so that the implementation can /// order the pair (`a`, `b`) for an edge connecting any two nodes `a` and `b`. /// - `E` can be of arbitrary type. /// - Edge type `Ty` that determines whether the graph edges are directed or /// undirected. /// /// You can use the type aliases `UnGraphMap` and `DiGraphMap` for convenience. /// /// `GraphMap` does not allow parallel edges, but self loops are allowed. /// /// Depends on crate feature `graphmap` (default). #[derive(Clone)] pub struct GraphMap<N, E, Ty> { nodes: IndexMap<N, Vec<(N, CompactDirection)>>, edges: IndexMap<(N, N), E>, ty: PhantomData<Ty>, } impl<N: Eq + Hash + fmt::Debug, E: fmt::Debug, Ty: EdgeType> fmt::Debug for GraphMap<N, E, Ty> { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.nodes.fmt(f) } } /// A trait group for `GraphMap`'s node identifier. pub trait NodeTrait: Copy + Ord + Hash {} impl<N> NodeTrait for N where N: Copy + Ord + Hash {} // non-repr(usize) version of Direction #[derive(Copy, Clone, Debug, PartialEq)] enum CompactDirection { Outgoing, Incoming, } impl CompactDirection { /// Return the opposite `CompactDirection`. #[inline] pub fn opposite(self) -> CompactDirection { match self { CompactDirection::Outgoing => CompactDirection::Incoming, CompactDirection::Incoming => CompactDirection::Outgoing, } } } impl From<Direction> for CompactDirection { fn from(d: Direction) -> Self { match d { Outgoing => CompactDirection::Outgoing, Incoming => CompactDirection::Incoming, } } } impl From<CompactDirection> for Direction { fn from(d: CompactDirection) -> Self { match d { CompactDirection::Outgoing => Outgoing, CompactDirection::Incoming => Incoming, } } } impl PartialEq<Direction> for CompactDirection { fn eq(&self, rhs: &Direction) -> bool { (*self as usize) == (*rhs as usize) } } #[cfg(feature = "serde-1")] impl<N, E, Ty> serde::Serialize for GraphMap<N, E, Ty> where Ty: EdgeType, N: NodeTrait + serde::Serialize, E: serde::Serialize, GraphMap<N, E, Ty>: Clone, { /// Serializes the given `GraphMap` into the same format as the standard /// `Graph`. Needs feature `serde-1`. /// /// Note: the graph has to be `Clone` for this to work. fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: serde::Serializer, { let cloned_graph: GraphMap<N, E, Ty> = GraphMap::clone(self); let equivalent_graph: Graph<N, E, Ty, u32> = cloned_graph.into_graph(); equivalent_graph.serialize(serializer) } } #[cfg(feature = "serde-1")] impl<'de, N, E, Ty> serde::Deserialize<'de> for GraphMap<N, E, Ty> where Ty: EdgeType, N: NodeTrait + serde::Deserialize<'de>, E: Clone + serde::Deserialize<'de>, { /// Deserializes into a new `GraphMap` from the same format as the standard /// `Graph`. Needs feature `serde-1`. /// /// **Warning**: When deseralizing a graph that was not originally a `GraphMap`, /// the restrictions from [`from_graph`](#method.from_graph) apply. /// /// Note: The edge weights have to be `Clone` for this to work. fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where D: serde::Deserializer<'de>, { let equivalent_graph: Graph<N, E, Ty, u32> = Graph::deserialize(deserializer)?; Ok(GraphMap::from_graph(equivalent_graph)) } } impl<N, E, Ty> GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { /// Create a new `GraphMap` pub fn new() -> Self { Self::default() } /// Create a new `GraphMap` with estimated capacity. pub fn with_capacity(nodes: usize, edges: usize) -> Self { GraphMap { nodes: IndexMap::with_capacity(nodes), edges: IndexMap::with_capacity(edges), ty: PhantomData, } } /// Return the current node and edge capacity of the graph. pub fn capacity(&self) -> (usize, usize) { (self.nodes.capacity(), self.edges.capacity()) } /// Use their natural order to map the node pair (a, b) to a canonical edge id. #[inline] fn edge_key(a: N, b: N) -> (N, N) { if Ty::is_directed() || a <= b { (a, b) } else { (b, a) } } /// Whether the graph has directed edges. pub fn is_directed(&self) -> bool { Ty::is_directed() } /// Create a new `GraphMap` from an iterable of edges. /// /// Node values are taken directly from the list. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. /// /// ``` /// use petgraph::graphmap::UnGraphMap; /// /// // Create a new undirected GraphMap. /// // Use a type hint to have `()` be the edge weight type. /// let gr = UnGraphMap::<_, ()>::from_edges(&[ /// (0, 1), (0, 2), (0, 3), /// (1, 2), (1, 3), /// (2, 3), /// ]); /// ``` pub fn from_edges<I>(iterable: I) -> Self where I: IntoIterator, I::Item: IntoWeightedEdge<E, NodeId = N>, { Self::from_iter(iterable) } /// Return the number of nodes in the graph. pub fn node_count(&self) -> usize { self.nodes.len() } /// Return the number of edges in the graph. pub fn edge_count(&self) -> usize { self.edges.len() } /// Remove all nodes and edges pub fn clear(&mut self) { self.nodes.clear(); self.edges.clear(); } /// Add node `n` to the graph. pub fn add_node(&mut self, n: N) -> N { self.nodes.entry(n).or_insert(Vec::new()); n } /// Return `true` if node `n` was removed. /// /// Computes in **O(V)** time, due to the removal of edges with other nodes. pub fn remove_node(&mut self, n: N) -> bool { let links = match self.nodes.swap_remove(&n) { None => return false, Some(sus) => sus, }; for (succ, dir) in links { let edge = if dir == CompactDirection::Outgoing { Self::edge_key(n, succ) } else { Self::edge_key(succ, n) }; // remove all successor links self.remove_single_edge(&succ, &n, dir.opposite()); // Remove all edge values self.edges.swap_remove(&edge); } true } /// Return `true` if the node is contained in the graph. pub fn contains_node(&self, n: N) -> bool { self.nodes.contains_key(&n) } /// Add an edge connecting `a` and `b` to the graph, with associated /// data `weight`. For a directed graph, the edge is directed from `a` /// to `b`. /// /// Inserts nodes `a` and/or `b` if they aren't already part of the graph. /// /// Return `None` if the edge did not previously exist, otherwise, /// the associated data is updated and the old value is returned /// as `Some(old_weight)`. /// /// ``` /// // Create a GraphMap with directed edges, and add one edge to it /// use petgraph::graphmap::DiGraphMap; /// /// let mut g = DiGraphMap::new(); /// g.add_edge("x", "y", -1); /// assert_eq!(g.node_count(), 2); /// assert_eq!(g.edge_count(), 1); /// assert!(g.contains_edge("x", "y")); /// assert!(!g.contains_edge("y", "x")); /// ``` pub fn add_edge(&mut self, a: N, b: N, weight: E) -> Option<E> { if let old @ Some(_) = self.edges.insert(Self::edge_key(a, b), weight) { old } else { // insert in the adjacency list if it's a new edge self.nodes .entry(a) .or_insert_with(|| Vec::with_capacity(1)) .push((b, CompactDirection::Outgoing)); if a != b { // self loops don't have the Incoming entry self.nodes .entry(b) .or_insert_with(|| Vec::with_capacity(1)) .push((a, CompactDirection::Incoming)); } None } } /// Remove edge relation from a to b /// /// Return `true` if it did exist. fn remove_single_edge(&mut self, a: &N, b: &N, dir: CompactDirection) -> bool { match self.nodes.get_mut(a) { None => false, Some(sus) => { if Ty::is_directed() { match sus.iter().position(|elt| elt == &(*b, dir)) { Some(index) => { sus.swap_remove(index); true } None => false, } } else { match sus.iter().position(|elt| &elt.0 == b) { Some(index) => { sus.swap_remove(index); true } None => false, } } } } } /// Remove edge from `a` to `b` from the graph and return the edge weight. /// /// Return `None` if the edge didn't exist. /// /// ``` /// // Create a GraphMap with undirected edges, and add and remove an edge. /// use petgraph::graphmap::UnGraphMap; /// /// let mut g = UnGraphMap::new(); /// g.add_edge("x", "y", -1); /// /// let edge_data = g.remove_edge("y", "x"); /// assert_eq!(edge_data, Some(-1)); /// assert_eq!(g.edge_count(), 0); /// ``` pub fn remove_edge(&mut self, a: N, b: N) -> Option<E> { let exist1 = self.remove_single_edge(&a, &b, CompactDirection::Outgoing); let exist2 = if a != b { self.remove_single_edge(&b, &a, CompactDirection::Incoming) } else { exist1 }; let weight = self.edges.remove(&Self::edge_key(a, b)); debug_assert!(exist1 == exist2 && exist1 == weight.is_some()); weight } /// Return `true` if the edge connecting `a` with `b` is contained in the graph. pub fn contains_edge(&self, a: N, b: N) -> bool { self.edges.contains_key(&Self::edge_key(a, b)) } /// Return an iterator over the nodes of the graph. /// /// Iterator element type is `N`. pub fn nodes(&self) -> Nodes<N> { Nodes { iter: self.nodes.keys().cloned(), } } /// Return an iterator of all nodes with an edge starting from `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `N`. pub fn neighbors(&self, a: N) -> Neighbors<N, Ty> { Neighbors { iter: match self.nodes.get(&a) { Some(neigh) => neigh.iter(), None => [].iter(), }, ty: self.ty, } } /// Return an iterator of all neighbors that have an edge between them and /// `a`, in the specified direction. /// If the graph's edges are undirected, this is equivalent to *.neighbors(a)*. /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `N`. pub fn neighbors_directed(&self, a: N, dir: Direction) -> NeighborsDirected<N, Ty> { NeighborsDirected { iter: match self.nodes.get(&a) { Some(neigh) => neigh.iter(), None => [].iter(), }, start_node: a, dir, ty: self.ty, } } /// Return an iterator of target nodes with an edge starting from `a`, /// paired with their respective edge weights. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `(N, N, &E)`. pub fn edges(&self, a: N) -> Edges<N, E, Ty> { Edges { from: a, iter: self.neighbors(a), edges: &self.edges, } } /// Return an iterator of target nodes with an edge starting from `a`, /// paired with their respective edge weights. /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`, `Outgoing`: All edges connected to `a`, with `a` being the source of each /// edge. /// - `Undirected`, `Incoming`: All edges connected to `a`, with `a` being the target of each /// edge. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `(N, N, &E)`. pub fn edges_directed(&self, a: N, dir: Direction) -> EdgesDirected<N, E, Ty> { EdgesDirected { from: a, iter: self.neighbors_directed(a, dir), dir, edges: &self.edges, } } /// Return a reference to the edge weight connecting `a` with `b`, or /// `None` if the edge does not exist in the graph. pub fn edge_weight(&self, a: N, b: N) -> Option<&E> { self.edges.get(&Self::edge_key(a, b)) } /// Return a mutable reference to the edge weight connecting `a` with `b`, or /// `None` if the edge does not exist in the graph. pub fn edge_weight_mut(&mut self, a: N, b: N) -> Option<&mut E> { self.edges.get_mut(&Self::edge_key(a, b)) } /// Return an iterator over all edges of the graph with their weight in arbitrary order. /// /// Iterator element type is `(N, N, &E)` pub fn all_edges(&self) -> AllEdges<N, E, Ty> { AllEdges { inner: self.edges.iter(), ty: self.ty, } } /// Return an iterator over all edges of the graph in arbitrary order, with a mutable reference /// to their weight. /// /// Iterator element type is `(N, N, &mut E)` pub fn all_edges_mut(&mut self) -> AllEdgesMut<N, E, Ty> { AllEdgesMut { inner: self.edges.iter_mut(), ty: self.ty, } } /// Return a `Graph` that corresponds to this `GraphMap`. /// /// 1. Note that node and edge indices in the `Graph` have nothing in common /// with the `GraphMap`s node weights `N`. The node weights `N` are used as /// node weights in the resulting `Graph`, too. /// 2. Note that the index type is user-chosen. /// /// Computes in **O(|V| + |E|)** time (average). /// /// **Panics** if the number of nodes or edges does not fit with /// the resulting graph's index type. pub fn into_graph<Ix>(self) -> Graph<N, E, Ty, Ix> where Ix: crate::graph::IndexType, { // assuming two successive iterations of the same hashmap produce the same order let mut gr = Graph::with_capacity(self.node_count(), self.edge_count()); for (&node, _) in &self.nodes { gr.add_node(node); } for ((a, b), edge_weight) in self.edges { let (ai, _, _) = self.nodes.get_full(&a).unwrap(); let (bi, _, _) = self.nodes.get_full(&b).unwrap(); gr.add_edge(node_index(ai), node_index(bi), edge_weight); } gr } /// Creates a `GraphMap` that corresponds to the given `Graph`. /// /// **Warning**: Nodes with the same weight are merged and only the last parallel edge /// is kept. Node and edge indices of the `Graph` are lost. Only use this function /// if the node weights are distinct and there are no parallel edges. /// /// Computes in **O(|V| + |E|)** time (average). pub fn from_graph<Ix>(graph: Graph<N, E, Ty, Ix>) -> Self where Ix: crate::graph::IndexType, E: Clone, { let mut new_graph: GraphMap<N, E, Ty> = GraphMap::with_capacity(graph.node_count(), graph.edge_count()); for node in graph.raw_nodes() { new_graph.add_node(node.weight); } for edge in graph.edge_indices() { let (a, b) = graph.edge_endpoints(edge).unwrap(); new_graph.add_edge( *graph.node_weight(a).unwrap(), *graph.node_weight(b).unwrap(), graph.edge_weight(edge).unwrap().clone(), ); } new_graph } } /// Create a new `GraphMap` from an iterable of edges. impl<N, E, Ty, Item> FromIterator<Item> for GraphMap<N, E, Ty> where Item: IntoWeightedEdge<E, NodeId = N>, N: NodeTrait, Ty: EdgeType, { fn from_iter<I>(iterable: I) -> Self where I: IntoIterator<Item = Item>, { let iter = iterable.into_iter(); let (low, _) = iter.size_hint(); let mut g = Self::with_capacity(0, low); g.extend(iter); g } } /// Extend the graph from an iterable of edges. /// /// Nodes are inserted automatically to match the edges. impl<N, E, Ty, Item> Extend<Item> for GraphMap<N, E, Ty> where Item: IntoWeightedEdge<E, NodeId = N>, N: NodeTrait, Ty: EdgeType, { fn extend<I>(&mut self, iterable: I) where I: IntoIterator<Item = Item>, { let iter = iterable.into_iter(); let (low, _) = iter.size_hint(); self.edges.reserve(low); for elt in iter { let (source, target, weight) = elt.into_weighted_edge(); self.add_edge(source, target, weight); } } } iterator_wrap! { impl (Iterator DoubleEndedIterator ExactSizeIterator) for #[derive(Debug, Clone)] struct Nodes <'a, N> where { N: 'a + NodeTrait } item: N, iter: Cloned<Keys<'a, N, Vec<(N, CompactDirection)>>>, } #[derive(Debug, Clone)] pub struct Neighbors<'a, N, Ty = Undirected> where N: 'a, Ty: EdgeType, { iter: Iter<'a, (N, CompactDirection)>, ty: PhantomData<Ty>, } impl<'a, N, Ty> Iterator for Neighbors<'a, N, Ty> where N: NodeTrait, Ty: EdgeType, { type Item = N; fn next(&mut self) -> Option<N> { if Ty::is_directed() { (&mut self.iter) .filter_map(|&(n, dir)| if dir == Outgoing { Some(n) } else { None }) .next() } else { self.iter.next().map(|&(n, _)| n) } } fn size_hint(&self) -> (usize, Option<usize>) { let (lower, upper) = self.iter.size_hint(); if Ty::is_directed() { (0, upper) } else { (lower, upper) } } } #[derive(Debug, Clone)] pub struct NeighborsDirected<'a, N, Ty> where N: 'a, Ty: EdgeType, { iter: Iter<'a, (N, CompactDirection)>, start_node: N, dir: Direction, ty: PhantomData<Ty>, } impl<'a, N, Ty> Iterator for NeighborsDirected<'a, N, Ty> where N: NodeTrait, Ty: EdgeType, { type Item = N; fn next(&mut self) -> Option<N> { if Ty::is_directed() { let self_dir = self.dir; let start_node = self.start_node; (&mut self.iter) .filter_map(move |&(n, dir)| { if dir == self_dir || n == start_node { Some(n) } else { None } }) .next() } else { self.iter.next().map(|&(n, _)| n) } } fn size_hint(&self) -> (usize, Option<usize>) { let (lower, upper) = self.iter.size_hint(); if Ty::is_directed() { (0, upper) } else { (lower, upper) } } } #[derive(Debug, Clone)] pub struct Edges<'a, N, E: 'a, Ty> where N: 'a + NodeTrait, Ty: EdgeType, { from: N, edges: &'a IndexMap<(N, N), E>, iter: Neighbors<'a, N, Ty>, } impl<'a, N, E, Ty> Iterator for Edges<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { type Item = (N, N, &'a E); fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(|b| { let a = self.from; match self.edges.get(&GraphMap::<N, E, Ty>::edge_key(a, b)) { None => unreachable!(), Some(edge) => (a, b, edge), } }) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } #[derive(Debug, Clone)] pub struct EdgesDirected<'a, N, E: 'a, Ty> where N: 'a + NodeTrait, Ty: EdgeType, { from: N, dir: Direction, edges: &'a IndexMap<(N, N), E>, iter: NeighborsDirected<'a, N, Ty>, } impl<'a, N, E, Ty> Iterator for EdgesDirected<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { type Item = (N, N, &'a E); fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(|mut b| { let mut a = self.from; if self.dir == Direction::Incoming { mem::swap(&mut a, &mut b); } match self.edges.get(&GraphMap::<N, E, Ty>::edge_key(a, b)) { None => unreachable!(), Some(edge) => (a, b, edge), } }) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } #[derive(Debug, Clone)] pub struct AllEdges<'a, N, E: 'a, Ty> where N: 'a + NodeTrait, { inner: IndexMapIter<'a, (N, N), E>, ty: PhantomData<Ty>, } impl<'a, N, E, Ty> Iterator for AllEdges<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { type Item = (N, N, &'a E); fn next(&mut self) -> Option<Self::Item> { self.inner.next().map(|(&(a, b), v)| (a, b, v)) } fn size_hint(&self) -> (usize, Option<usize>) { self.inner.size_hint() } fn count(self) -> usize { self.inner.count() } fn nth(&mut self, n: usize) -> Option<Self::Item> { self.inner .nth(n) .map(|(&(n1, n2), weight)| (n1, n2, weight)) } fn last(self) -> Option<Self::Item> { self.inner .last() .map(|(&(n1, n2), weight)| (n1, n2, weight)) } } impl<'a, N, E, Ty> DoubleEndedIterator for AllEdges<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { fn next_back(&mut self) -> Option<Self::Item> { self.inner .next_back() .map(|(&(n1, n2), weight)| (n1, n2, weight)) } } pub struct AllEdgesMut<'a, N, E: 'a, Ty> where N: 'a + NodeTrait, { inner: IndexMapIterMut<'a, (N, N), E>, // TODO: change to something that implements Debug + Clone? ty: PhantomData<Ty>, } impl<'a, N, E, Ty> Iterator for AllEdgesMut<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { type Item = (N, N, &'a mut E); fn next(&mut self) -> Option<Self::Item> { self.inner .next() .map(|(&(n1, n2), weight)| (n1, n2, weight)) } fn size_hint(&self) -> (usize, Option<usize>) { self.inner.size_hint() } fn count(self) -> usize { self.inner.count() } fn nth(&mut self, n: usize) -> Option<Self::Item> { self.inner .nth(n) .map(|(&(n1, n2), weight)| (n1, n2, weight)) } fn last(self) -> Option<Self::Item> { self.inner .last() .map(|(&(n1, n2), weight)| (n1, n2, weight)) } } impl<'a, N, E, Ty> DoubleEndedIterator for AllEdgesMut<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { fn next_back(&mut self) -> Option<Self::Item> { self.inner .next_back() .map(|(&(n1, n2), weight)| (n1, n2, weight)) } } /// Index `GraphMap` by node pairs to access edge weights. impl<N, E, Ty> Index<(N, N)> for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type Output = E; fn index(&self, index: (N, N)) -> &E { let index = Self::edge_key(index.0, index.1); self.edge_weight(index.0, index.1) .expect("GraphMap::index: no such edge") } } /// Index `GraphMap` by node pairs to access edge weights. impl<N, E, Ty> IndexMut<(N, N)> for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { fn index_mut(&mut self, index: (N, N)) -> &mut E { let index = Self::edge_key(index.0, index.1); self.edge_weight_mut(index.0, index.1) .expect("GraphMap::index: no such edge") } } /// Create a new empty `GraphMap`. impl<N, E, Ty> Default for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { fn default() -> Self { GraphMap::with_capacity(0, 0) } } /// A reference that is hashed and compared by its pointer value. /// /// `Ptr` is used for certain configurations of `GraphMap`, /// in particular in the combination where the node type for /// `GraphMap` is something of type for example `Ptr(&Cell<T>)`, /// with the `Cell<T>` being `TypedArena` allocated. pub struct Ptr<'b, T: 'b>(pub &'b T); impl<'b, T> Copy for Ptr<'b, T> {} impl<'b, T> Clone for Ptr<'b, T> { fn clone(&self) -> Self { *self } } fn ptr_eq<T>(a: *const T, b: *const T) -> bool { a == b } impl<'b, T> PartialEq for Ptr<'b, T> { /// Ptr compares by pointer equality, i.e if they point to the same value fn eq(&self, other: &Ptr<'b, T>) -> bool { ptr_eq(self.0, other.0) } } impl<'b, T> PartialOrd for Ptr<'b, T> { fn partial_cmp(&self, other: &Ptr<'b, T>) -> Option<Ordering> { Some(self.cmp(other)) } } impl<'b, T> Ord for Ptr<'b, T> { /// Ptr is ordered by pointer value, i.e. an arbitrary but stable and total order. fn cmp(&self, other: &Ptr<'b, T>) -> Ordering { let a: *const T = self.0; let b: *const T = other.0; a.cmp(&b) } } impl<'b, T> Deref for Ptr<'b, T> { type Target = T; fn deref(&self) -> &T { self.0 } } impl<'b, T> Eq for Ptr<'b, T> {} impl<'b, T> Hash for Ptr<'b, T> { fn hash<H: hash::Hasher>(&self, st: &mut H) { let ptr = (self.0) as *const T; ptr.hash(st) } } impl<'b, T: fmt::Debug> fmt::Debug for Ptr<'b, T> { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.0.fmt(f) } } #[derive(Debug, Clone)] pub struct NodeIdentifiers<'a, N, E: 'a, Ty> where N: 'a + NodeTrait, { iter: IndexMapIter<'a, N, Vec<(N, CompactDirection)>>, ty: PhantomData<Ty>, edge_ty: PhantomData<E>, } impl<'a, N, E, Ty> Iterator for NodeIdentifiers<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { type Item = N; fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(|(&n, _)| n) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } #[derive(Debug, Clone)] pub struct NodeReferences<'a, N, E: 'a, Ty> where N: 'a + NodeTrait, { iter: IndexMapIter<'a, N, Vec<(N, CompactDirection)>>, ty: PhantomData<Ty>, edge_ty: PhantomData<E>, } impl<'a, N, E, Ty> Iterator for NodeReferences<'a, N, E, Ty> where N: 'a + NodeTrait, E: 'a, Ty: EdgeType, { type Item = (N, &'a N); fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(|(n, _)| (*n, n)) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } impl<N, E, Ty> visit::GraphBase for GraphMap<N, E, Ty> where N: Copy + PartialEq, { type NodeId = N; type EdgeId = (N, N); } impl<N, E, Ty> visit::Data for GraphMap<N, E, Ty> where N: Copy + PartialEq, Ty: EdgeType, { type NodeWeight = N; type EdgeWeight = E; } impl<N, E, Ty> visit::Visitable for GraphMap<N, E, Ty> where N: Copy + Ord + Hash, Ty: EdgeType, { type Map = HashSet<N>; fn visit_map(&self) -> HashSet<N> { HashSet::with_capacity(self.node_count()) } fn reset_map(&self, map: &mut Self::Map) { map.clear(); } } impl<N, E, Ty> visit::GraphProp for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type EdgeType = Ty; } impl<'a, N, E, Ty> visit::IntoNodeReferences for &'a GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type NodeRef = (N, &'a N); type NodeReferences = NodeReferences<'a, N, E, Ty>; fn node_references(self) -> Self::NodeReferences { NodeReferences { iter: self.nodes.iter(), ty: self.ty, edge_ty: PhantomData, } } } impl<'a, N, E: 'a, Ty> visit::IntoNodeIdentifiers for &'a GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type NodeIdentifiers = NodeIdentifiers<'a, N, E, Ty>; fn node_identifiers(self) -> Self::NodeIdentifiers { NodeIdentifiers { iter: self.nodes.iter(), ty: self.ty, edge_ty: PhantomData, } } } impl<N, E, Ty> visit::NodeCount for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { fn node_count(&self) -> usize { (*self).node_count() } } impl<N, E, Ty> visit::NodeIndexable for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { fn node_bound(&self) -> usize { self.node_count() } fn to_index(&self, ix: Self::NodeId) -> usize { let (i, _, _) = self.nodes.get_full(&ix).unwrap(); i } fn from_index(&self, ix: usize) -> Self::NodeId { assert!( ix < self.nodes.len(), "The requested index {} is out-of-bounds.", ix ); let (&key, _) = self.nodes.get_index(ix).unwrap(); key } } impl<N, E, Ty> visit::NodeCompactIndexable for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { } impl<'a, N: 'a, E, Ty> visit::IntoNeighbors for &'a GraphMap<N, E, Ty> where N: Copy + Ord + Hash, Ty: EdgeType, { type Neighbors = Neighbors<'a, N, Ty>; fn neighbors(self, n: Self::NodeId) -> Self::Neighbors { self.neighbors(n) } } impl<'a, N: 'a, E, Ty> visit::IntoNeighborsDirected for &'a GraphMap<N, E, Ty> where N: Copy + Ord + Hash, Ty: EdgeType, { type NeighborsDirected = NeighborsDirected<'a, N, Ty>; fn neighbors_directed(self, n: N, dir: Direction) -> Self::NeighborsDirected { self.neighbors_directed(n, dir) } } impl<N, E, Ty> visit::EdgeIndexable for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { fn edge_bound(&self) -> usize { self.edge_count() } fn to_index(&self, ix: Self::EdgeId) -> usize { let (i, _, _) = self.edges.get_full(&ix).unwrap(); i } fn from_index(&self, ix: usize) -> Self::EdgeId { assert!( ix < self.edges.len(), "The requested index {} is out-of-bounds.", ix ); let (&key, _) = self.edges.get_index(ix).unwrap(); key } } impl<'a, N: 'a, E: 'a, Ty> visit::IntoEdges for &'a GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type Edges = Edges<'a, N, E, Ty>; fn edges(self, a: Self::NodeId) -> Self::Edges { self.edges(a) } } impl<'a, N: 'a, E: 'a, Ty> visit::IntoEdgesDirected for &'a GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type EdgesDirected = EdgesDirected<'a, N, E, Ty>; fn edges_directed(self, a: Self::NodeId, dir: Direction) -> Self::EdgesDirected { self.edges_directed(a, dir) } } impl<'a, N: 'a, E: 'a, Ty> visit::IntoEdgeReferences for &'a GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { type EdgeRef = (N, N, &'a E); type EdgeReferences = AllEdges<'a, N, E, Ty>; fn edge_references(self) -> Self::EdgeReferences { self.all_edges() } } impl<N, E, Ty> visit::EdgeCount for GraphMap<N, E, Ty> where N: NodeTrait, Ty: EdgeType, { #[inline] fn edge_count(&self) -> usize { self.edge_count() } } /// The `GraphMap` keeps an adjacency matrix internally. impl<N, E, Ty> visit::GetAdjacencyMatrix for GraphMap<N, E, Ty> where N: Copy + Ord + Hash, Ty: EdgeType, { type AdjMatrix = (); #[inline] fn adjacency_matrix(&self) {} #[inline] fn is_adjacent(&self, _: &(), a: N, b: N) -> bool { self.contains_edge(a, b) } } ��������������������������������petgraph-0.6.4/src/iter_format.rs�������������������������������������������������������������������0000644�0000000�0000000�00000004532�10461020230�0015121�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Formatting utils use std::cell::RefCell; use std::fmt; /// Format the iterator like a map pub struct DebugMap<F>(pub F); impl<'a, F, I, K, V> fmt::Debug for DebugMap<F> where F: Fn() -> I, I: IntoIterator<Item = (K, V)>, K: fmt::Debug, V: fmt::Debug, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { f.debug_map().entries((self.0)()).finish() } } /// Avoid "pretty" debug pub struct NoPretty<T>(pub T); impl<T> fmt::Debug for NoPretty<T> where T: fmt::Debug, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { write!(f, "{:?}", self.0) } } /// Format all iterator elements lazily, separated by `sep`. /// /// The format value can only be formatted once, after that the iterator is /// exhausted. /// /// See [`.format()`](../trait.Itertools.html#method.format) /// for more information. #[derive(Clone)] pub struct Format<'a, I> { sep: &'a str, /// Format uses interior mutability because Display::fmt takes &self. inner: RefCell<Option<I>>, } pub trait IterFormatExt: Iterator { fn format(self, separator: &str) -> Format<Self> where Self: Sized, { Format { sep: separator, inner: RefCell::new(Some(self)), } } } impl<I> IterFormatExt for I where I: Iterator {} impl<'a, I> Format<'a, I> where I: Iterator, { fn format<F>(&self, f: &mut fmt::Formatter, mut cb: F) -> fmt::Result where F: FnMut(&I::Item, &mut fmt::Formatter) -> fmt::Result, { let mut iter = match self.inner.borrow_mut().take() { Some(t) => t, None => panic!("Format: was already formatted once"), }; if let Some(fst) = iter.next() { cb(&fst, f)?; for elt in iter { if !self.sep.is_empty() { f.write_str(self.sep)?; } cb(&elt, f)?; } } Ok(()) } } macro_rules! impl_format { ($($fmt_trait:ident)*) => { $( impl<'a, I> fmt::$fmt_trait for Format<'a, I> where I: Iterator, I::Item: fmt::$fmt_trait, { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.format(f, fmt::$fmt_trait::fmt) } } )* } } impl_format!(Debug); ����������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/iter_utils.rs��������������������������������������������������������������������0000644�0000000�0000000�00000001601�10461020230�0014763�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������pub trait IterUtilsExt: Iterator { /// Return the first element that maps to `Some(_)`, or None if the iterator /// was exhausted. fn ex_find_map<F, R>(&mut self, mut f: F) -> Option<R> where F: FnMut(Self::Item) -> Option<R>, { for elt in self { if let result @ Some(_) = f(elt) { return result; } } None } /// Return the last element from the back that maps to `Some(_)`, or /// None if the iterator was exhausted. fn ex_rfind_map<F, R>(&mut self, mut f: F) -> Option<R> where F: FnMut(Self::Item) -> Option<R>, Self: DoubleEndedIterator, { while let Some(elt) = self.next_back() { if let result @ Some(_) = f(elt) { return result; } } None } } impl<I> IterUtilsExt for I where I: Iterator {} �������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/lib.rs���������������������������������������������������������������������������0000644�0000000�0000000�00000022146�10461020230�0013355�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! `petgraph` is a graph data structure library. //! //! Graphs are collections of nodes, and edges between nodes. `petgraph` //! provides several [graph types](index.html#graph-types) (each differing in the //! tradeoffs taken in their internal representation), //! [algorithms](./algo/index.html#functions) on those graphs, and functionality to //! [output graphs](./dot/struct.Dot.html) in //! [`graphviz`](https://www.graphviz.org/) format. Both nodes and edges //! can have arbitrary associated data, and edges may be either directed or undirected. //! //! # Example //! //! ```rust //! use petgraph::graph::{NodeIndex, UnGraph}; //! use petgraph::algo::{dijkstra, min_spanning_tree}; //! use petgraph::data::FromElements; //! use petgraph::dot::{Dot, Config}; //! //! // Create an undirected graph with `i32` nodes and edges with `()` associated data. //! let g = UnGraph::<i32, ()>::from_edges(&[ //! (1, 2), (2, 3), (3, 4), //! (1, 4)]); //! //! // Find the shortest path from `1` to `4` using `1` as the cost for every edge. //! let node_map = dijkstra(&g, 1.into(), Some(4.into()), |_| 1); //! assert_eq!(&1i32, node_map.get(&NodeIndex::new(4)).unwrap()); //! //! // Get the minimum spanning tree of the graph as a new graph, and check that //! // one edge was trimmed. //! let mst = UnGraph::<_, _>::from_elements(min_spanning_tree(&g)); //! assert_eq!(g.raw_edges().len() - 1, mst.raw_edges().len()); //! //! // Output the tree to `graphviz` `DOT` format //! println!("{:?}", Dot::with_config(&mst, &[Config::EdgeNoLabel])); //! // graph { //! // 0 [label="\"0\""] //! // 1 [label="\"0\""] //! // 2 [label="\"0\""] //! // 3 [label="\"0\""] //! // 1 -- 2 //! // 3 -- 4 //! // 2 -- 3 //! // } //! ``` //! //! # Graph types //! //! * [`Graph`](./graph/struct.Graph.html) - //! An adjacency list graph with arbitrary associated data. //! * [`StableGraph`](./stable_graph/struct.StableGraph.html) - //! Similar to `Graph`, but it keeps indices stable across removals. //! * [`GraphMap`](./graphmap/struct.GraphMap.html) - //! An adjacency list graph backed by a hash table. The node identifiers are the keys //! into the table. //! * [`MatrixGraph`](./matrix_graph/struct.MatrixGraph.html) - //! An adjacency matrix graph. //! * [`CSR`](./csr/struct.Csr.html) - //! A sparse adjacency matrix graph with arbitrary associated data. //! //! ### Generic parameters //! //! Each graph type is generic over a handful of parameters. All graphs share 3 common //! parameters, `N`, `E`, and `Ty`. This is a broad overview of what those are. Each //! type's documentation will have finer detail on these parameters. //! //! `N` & `E` are called *weights* in this implementation, and are associated with //! nodes and edges respectively. They can generally be of arbitrary type, and don't have to //! be what you might conventionally consider weight-like. For example, using `&str` for `N` //! will work. Many algorithms that require costs let you provide a cost function that //! translates your `N` and `E` weights into costs appropriate to the algorithm. Some graph //! types and choices do impose bounds on `N` or `E`. //! [`min_spanning_tree`](./algo/fn.min_spanning_tree.html) for example requires edge weights that //! implement [`PartialOrd`](https://doc.rust-lang.org/stable/core/cmp/trait.PartialOrd.html). //! [`GraphMap`](./graphmap/struct.GraphMap.html) requires node weights that can serve as hash //! map keys, since that graph type does not create standalone node indices. //! //! `Ty` controls whether edges are [`Directed`](./enum.Directed.html) or //! [`Undirected`](./enum.Undirected.html). //! //! `Ix` appears on graph types that use indices. It is exposed so you can control //! the size of node and edge indices, and therefore the memory footprint of your graphs. //! Allowed values are `u8`, `u16`, `u32`, and `usize`, with `u32` being the default. //! //! ### Shorthand types //! //! Each graph type vends a few shorthand type definitions that name some specific //! generic choices. For example, [`DiGraph<_, _>`](./graph/type.DiGraph.html) is shorthand //! for [`Graph<_, _, Directed>`](graph/struct.Graph.html). //! [`UnMatrix<_, _>`](./matrix_graph/type.UnMatrix.html) is shorthand for //! [`MatrixGraph<_, _, Undirected>`](./matrix_graph/struct.MatrixGraph.html). Each graph type's //! module documentation lists the available shorthand types. //! //! # Crate features //! //! * **serde-1** - //! Defaults off. Enables serialization for ``Graph, StableGraph, GraphMap`` using //! [`serde 1.0`](https://crates.io/crates/serde). May require a more recent version //! of Rust than petgraph alone. //! * **graphmap** - //! Defaults on. Enables [`GraphMap`](./graphmap/struct.GraphMap.html). //! * **stable_graph** - //! Defaults on. Enables [`StableGraph`](./stable_graph/struct.StableGraph.html). //! * **matrix_graph** - //! Defaults on. Enables [`MatrixGraph`](./matrix_graph/struct.MatrixGraph.html). //! #![doc(html_root_url = "https://docs.rs/petgraph/0.4/")] extern crate fixedbitset; #[cfg(feature = "graphmap")] extern crate indexmap; #[cfg(feature = "serde-1")] extern crate serde; #[cfg(feature = "serde-1")] #[macro_use] extern crate serde_derive; #[cfg(all(feature = "serde-1", test))] extern crate itertools; #[doc(no_inline)] pub use crate::graph::Graph; pub use crate::Direction::{Incoming, Outgoing}; #[macro_use] mod macros; mod scored; // these modules define trait-implementing macros #[macro_use] pub mod visit; #[macro_use] pub mod data; pub mod adj; pub mod algo; pub mod csr; pub mod dot; #[cfg(feature = "generate")] pub mod generate; mod graph_impl; #[cfg(feature = "graphmap")] pub mod graphmap; mod iter_format; mod iter_utils; #[cfg(feature = "matrix_graph")] pub mod matrix_graph; #[cfg(feature = "quickcheck")] mod quickcheck; #[cfg(feature = "serde-1")] mod serde_utils; mod traits_graph; pub mod unionfind; mod util; pub mod operator; pub mod prelude; /// `Graph<N, E, Ty, Ix>` is a graph datastructure using an adjacency list representation. pub mod graph { pub use crate::graph_impl::{ edge_index, node_index, DefaultIx, DiGraph, Edge, EdgeIndex, EdgeIndices, EdgeReference, EdgeReferences, EdgeWeightsMut, Edges, EdgesConnecting, Externals, Frozen, Graph, GraphIndex, IndexType, Neighbors, Node, NodeIndex, NodeIndices, NodeReferences, NodeWeightsMut, UnGraph, WalkNeighbors, }; } #[cfg(feature = "stable_graph")] pub use crate::graph_impl::stable_graph; macro_rules! copyclone { ($name:ident) => { impl Clone for $name { #[inline] fn clone(&self) -> Self { *self } } }; } // Index into the NodeIndex and EdgeIndex arrays /// Edge direction. #[derive(Copy, Debug, PartialEq, PartialOrd, Ord, Eq, Hash)] #[repr(usize)] pub enum Direction { /// An `Outgoing` edge is an outward edge *from* the current node. Outgoing = 0, /// An `Incoming` edge is an inbound edge *to* the current node. Incoming = 1, } copyclone!(Direction); impl Direction { /// Return the opposite `Direction`. #[inline] pub fn opposite(self) -> Direction { match self { Outgoing => Incoming, Incoming => Outgoing, } } /// Return `0` for `Outgoing` and `1` for `Incoming`. #[inline] pub fn index(self) -> usize { (self as usize) & 0x1 } } #[doc(hidden)] pub use crate::Direction as EdgeDirection; /// Marker type for a directed graph. #[derive(Copy, Debug)] pub enum Directed {} copyclone!(Directed); /// Marker type for an undirected graph. #[derive(Copy, Debug)] pub enum Undirected {} copyclone!(Undirected); /// A graph's edge type determines whether it has directed edges or not. pub trait EdgeType { fn is_directed() -> bool; } impl EdgeType for Directed { #[inline] fn is_directed() -> bool { true } } impl EdgeType for Undirected { #[inline] fn is_directed() -> bool { false } } /// Convert an element like `(i, j)` or `(i, j, w)` into /// a triple of source, target, edge weight. /// /// For `Graph::from_edges` and `GraphMap::from_edges`. pub trait IntoWeightedEdge<E> { type NodeId; fn into_weighted_edge(self) -> (Self::NodeId, Self::NodeId, E); } impl<Ix, E> IntoWeightedEdge<E> for (Ix, Ix) where E: Default, { type NodeId = Ix; fn into_weighted_edge(self) -> (Ix, Ix, E) { let (s, t) = self; (s, t, E::default()) } } impl<Ix, E> IntoWeightedEdge<E> for (Ix, Ix, E) { type NodeId = Ix; fn into_weighted_edge(self) -> (Ix, Ix, E) { self } } impl<'a, Ix, E> IntoWeightedEdge<E> for (Ix, Ix, &'a E) where E: Clone, { type NodeId = Ix; fn into_weighted_edge(self) -> (Ix, Ix, E) { let (a, b, c) = self; (a, b, c.clone()) } } impl<'a, Ix, E> IntoWeightedEdge<E> for &'a (Ix, Ix) where Ix: Copy, E: Default, { type NodeId = Ix; fn into_weighted_edge(self) -> (Ix, Ix, E) { let (s, t) = *self; (s, t, E::default()) } } impl<'a, Ix, E> IntoWeightedEdge<E> for &'a (Ix, Ix, E) where Ix: Copy, E: Clone, { type NodeId = Ix; fn into_weighted_edge(self) -> (Ix, Ix, E) { self.clone() } } ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/macros.rs������������������������������������������������������������������������0000644�0000000�0000000�00000006044�10461020230�0014072�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������macro_rules! clone_fields { ($name:ident, $($field:ident),+ $(,)*) => ( fn clone(&self) -> Self { $name { $( $field : self . $field .clone() ),* } } ); } macro_rules! iterator_wrap { (impl () for struct $name: ident <$($typarm:tt),*> where { $($bounds: tt)* } item: $item: ty, iter: $iter: ty, ) => (); ( impl (Iterator $($rest:tt)*) for $(#[$derive:meta])* struct $name: ident <$($typarm:tt),*> where { $($bounds: tt)* } item: $item: ty, iter: $iter: ty, ) => ( // having complex iterator types is kind of the point of this macro #[allow(clippy::type_complexity)] $(#[$derive])* pub struct $name <$($typarm),*> where $($bounds)* { iter: $iter, } impl<$($typarm),*> Iterator for $name <$($typarm),*> where $($bounds)* { type Item = $item; #[inline] fn next(&mut self) -> Option<Self::Item> { self.iter.next() } #[inline] fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } iterator_wrap!( impl ($($rest)*) for struct $name <$($typarm),*> where { $($bounds)* } item: $item, iter: $iter, ); ); ( impl (ExactSizeIterator $($rest:tt)*) for $(#[$derive:meta])* struct $name: ident <$($typarm:tt),*> where { $($bounds: tt)* } item: $item: ty, iter: $iter: ty, ) => ( impl<$($typarm),*> ExactSizeIterator for $name <$($typarm),*> where $($bounds)* { #[inline] fn len(&self) -> usize { self.iter.len() } } iterator_wrap!( impl ($($rest)*) for $(#[$derive])* struct $name <$($typarm),*> where { $($bounds)* } item: $item, iter: $iter, ); ); ( impl (DoubleEndedIterator $($rest:tt)*) for $(#[$derive:meta])* struct $name: ident <$($typarm:tt),*> where { $($bounds: tt)* } item: $item: ty, iter: $iter: ty, ) => ( impl<$($typarm),*> DoubleEndedIterator for $name <$($typarm),*> where $($bounds)* { fn next_back(&mut self) -> Option<Self::Item> { self.iter.next_back() } fn rfold<B, F>(self, accum: B, f: F) -> B where F: FnMut(B, Self::Item) -> B, { self.iter.rfold(accum, f) } fn rfind<P>(&mut self, predicate: P) -> Option<Self::Item> where P: FnMut(&Self::Item) -> bool, { self.iter.rfind(predicate) } } iterator_wrap!( impl ($($rest)*) for $(#[$derive])* struct $name <$($typarm),*> where { $($bounds)* } item: $item, iter: $iter, ); ); } ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/matrix_graph.rs������������������������������������������������������������������0000644�0000000�0000000�00000151020�10461020230�0015266�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! `MatrixGraph<N, E, Ty, NullN, NullE, Ix>` is a graph datastructure backed by an adjacency matrix. use std::marker::PhantomData; use std::ops::{Index, IndexMut}; use std::cmp; use std::mem; use indexmap::IndexSet; use fixedbitset::FixedBitSet; use crate::{Directed, Direction, EdgeType, IntoWeightedEdge, Outgoing, Undirected}; use crate::graph::NodeIndex as GraphNodeIndex; use crate::visit::{ Data, EdgeCount, GetAdjacencyMatrix, GraphBase, GraphProp, IntoEdgeReferences, IntoEdges, IntoEdgesDirected, IntoNeighbors, IntoNeighborsDirected, IntoNodeIdentifiers, IntoNodeReferences, NodeCount, NodeIndexable, Visitable, }; use crate::data::Build; pub use crate::graph::IndexType; // The following types are used to control the max size of the adjacency matrix. Since the maximum // size of the matrix vector's is the square of the maximum number of nodes, the number of nodes // should be reasonably picked. type DefaultIx = u16; /// Node identifier. pub type NodeIndex<Ix = DefaultIx> = GraphNodeIndex<Ix>; mod private { pub trait Sealed {} impl<T> Sealed for super::NotZero<T> {} impl<T> Sealed for Option<T> {} } /// Wrapper trait for an `Option`, allowing user-defined structs to be input as containers when /// defining a null element. /// /// Note: this trait is currently *sealed* and cannot be implemented for types outside this crate. pub trait Nullable: Default + Into<Option<<Self as Nullable>::Wrapped>> + private::Sealed { #[doc(hidden)] type Wrapped; #[doc(hidden)] fn new(value: Self::Wrapped) -> Self; #[doc(hidden)] fn as_ref(&self) -> Option<&Self::Wrapped>; #[doc(hidden)] fn as_mut(&mut self) -> Option<&mut Self::Wrapped>; #[doc(hidden)] fn is_null(&self) -> bool { self.as_ref().is_none() } } impl<T> Nullable for Option<T> { type Wrapped = T; fn new(value: T) -> Self { Some(value) } fn as_ref(&self) -> Option<&Self::Wrapped> { self.as_ref() } fn as_mut(&mut self) -> Option<&mut Self::Wrapped> { self.as_mut() } } /// `NotZero` is used to optimize the memory usage of edge weights `E` in a /// [`MatrixGraph`](struct.MatrixGraph.html), replacing the default `Option<E>` sentinel. /// /// Pre-requisite: edge weight should implement [`Zero`](trait.Zero.html). /// /// Note that if you're already using the standard non-zero types (such as `NonZeroU32`), you don't /// have to use this wrapper and can leave the default `Null` type argument. pub struct NotZero<T>(T); impl<T: Zero> Default for NotZero<T> { fn default() -> Self { NotZero(T::zero()) } } impl<T: Zero> Nullable for NotZero<T> { #[doc(hidden)] type Wrapped = T; #[doc(hidden)] fn new(value: T) -> Self { assert!(!value.is_zero()); NotZero(value) } // implemented here for optimization purposes #[doc(hidden)] fn is_null(&self) -> bool { self.0.is_zero() } #[doc(hidden)] fn as_ref(&self) -> Option<&Self::Wrapped> { if !self.is_null() { Some(&self.0) } else { None } } #[doc(hidden)] fn as_mut(&mut self) -> Option<&mut Self::Wrapped> { if !self.is_null() { Some(&mut self.0) } else { None } } } impl<T: Zero> From<NotZero<T>> for Option<T> { fn from(not_zero: NotZero<T>) -> Self { if !not_zero.is_null() { Some(not_zero.0) } else { None } } } /// Base trait for types that can be wrapped in a [`NotZero`](struct.NotZero.html). /// /// Implementors must provide a singleton object that will be used to mark empty edges in a /// [`MatrixGraph`](struct.MatrixGraph.html). /// /// Note that this trait is already implemented for the base numeric types. pub trait Zero { /// Return the singleton object which can be used as a sentinel value. fn zero() -> Self; /// Return true if `self` is equal to the sentinel value. fn is_zero(&self) -> bool; } macro_rules! not_zero_impl { ($t:ty,$z:expr) => { impl Zero for $t { fn zero() -> Self { $z as $t } #[allow(clippy::float_cmp)] fn is_zero(&self) -> bool { self == &Self::zero() } } }; } macro_rules! not_zero_impls { ($($t:ty),*) => { $( not_zero_impl!($t, 0); )* } } not_zero_impls!(u8, u16, u32, u64, usize); not_zero_impls!(i8, i16, i32, i64, isize); not_zero_impls!(f32, f64); /// Short version of `NodeIndex::new` (with Ix = `DefaultIx`) #[inline] pub fn node_index(ax: usize) -> NodeIndex { NodeIndex::new(ax) } /// `MatrixGraph<N, E, Ty, Null>` is a graph datastructure using an adjacency matrix /// representation. /// /// `MatrixGraph` is parameterized over: /// /// - Associated data `N` for nodes and `E` for edges, called *weights*. /// The associated data can be of arbitrary type. /// - Edge type `Ty` that determines whether the graph edges are directed or undirected. /// - Nullable type `Null`, which denotes the edges' presence (defaults to `Option<E>`). You may /// specify [`NotZero<E>`](struct.NotZero.html) if you want to use a sentinel value (such as 0) /// to mark the absence of an edge. /// - Index type `Ix` that sets the maximum size for the graph (defaults to `DefaultIx`). /// /// The graph uses **O(|V^2|)** space, with fast edge insertion & amortized node insertion, as well /// as efficient graph search and graph algorithms on dense graphs. /// /// This graph is backed by a flattened 2D array. For undirected graphs, only the lower triangular /// matrix is stored. Since the backing array stores edge weights, it is recommended to box large /// edge weights. #[derive(Clone)] pub struct MatrixGraph<N, E, Ty = Directed, Null: Nullable<Wrapped = E> = Option<E>, Ix = DefaultIx> { node_adjacencies: Vec<Null>, node_capacity: usize, nodes: IdStorage<N>, nb_edges: usize, ty: PhantomData<Ty>, ix: PhantomData<Ix>, } /// A `MatrixGraph` with directed edges. pub type DiMatrix<N, E, Null = Option<E>, Ix = DefaultIx> = MatrixGraph<N, E, Directed, Null, Ix>; /// A `MatrixGraph` with undirected edges. pub type UnMatrix<N, E, Null = Option<E>, Ix = DefaultIx> = MatrixGraph<N, E, Undirected, Null, Ix>; impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> MatrixGraph<N, E, Ty, Null, Ix> { /// Create a new `MatrixGraph` with estimated capacity for nodes. pub fn with_capacity(node_capacity: usize) -> Self { let mut m = Self { node_adjacencies: vec![], node_capacity: 0, nodes: IdStorage::with_capacity(node_capacity), nb_edges: 0, ty: PhantomData, ix: PhantomData, }; debug_assert!(node_capacity <= <Ix as IndexType>::max().index()); if node_capacity > 0 { m.extend_capacity_for_node(NodeIndex::new(node_capacity - 1), true); } m } #[inline] fn to_edge_position(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> Option<usize> { if cmp::max(a.index(), b.index()) >= self.node_capacity { return None; } Some(self.to_edge_position_unchecked(a, b)) } #[inline] fn to_edge_position_unchecked(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> usize { to_linearized_matrix_position::<Ty>(a.index(), b.index(), self.node_capacity) } /// Remove all nodes and edges. pub fn clear(&mut self) { for edge in self.node_adjacencies.iter_mut() { *edge = Default::default(); } self.nodes.clear(); self.nb_edges = 0; } /// Return the number of nodes (vertices) in the graph. /// /// Computes in **O(1)** time. #[inline] pub fn node_count(&self) -> usize { self.nodes.len() } /// Return the number of edges in the graph. /// /// Computes in **O(1)** time. #[inline] pub fn edge_count(&self) -> usize { self.nb_edges } /// Return whether the graph has directed edges or not. #[inline] pub fn is_directed(&self) -> bool { Ty::is_directed() } /// Add a node (also called vertex) with associated data `weight` to the graph. /// /// Computes in **O(1)** time. /// /// Return the index of the new node. /// /// **Panics** if the MatrixGraph is at the maximum number of nodes for its index type. pub fn add_node(&mut self, weight: N) -> NodeIndex<Ix> { NodeIndex::new(self.nodes.add(weight)) } /// Remove `a` from the graph. /// /// Computes in **O(V)** time, due to the removal of edges with other nodes. /// /// **Panics** if the node `a` does not exist. pub fn remove_node(&mut self, a: NodeIndex<Ix>) -> N { for id in self.nodes.iter_ids() { let position = self.to_edge_position(a, NodeIndex::new(id)); if let Some(pos) = position { self.node_adjacencies[pos] = Default::default(); } if Ty::is_directed() { let position = self.to_edge_position(NodeIndex::new(id), a); if let Some(pos) = position { self.node_adjacencies[pos] = Default::default(); } } } self.nodes.remove(a.index()) } #[inline] fn extend_capacity_for_node(&mut self, min_node: NodeIndex<Ix>, exact: bool) { self.node_capacity = extend_linearized_matrix::<Ty, _>( &mut self.node_adjacencies, self.node_capacity, min_node.index() + 1, exact, ); } #[inline] fn extend_capacity_for_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) { let min_node = cmp::max(a, b); if min_node.index() >= self.node_capacity { self.extend_capacity_for_node(min_node, false); } } /// Update the edge from `a` to `b` to the graph, with its associated data `weight`. /// /// Return the previous data, if any. /// /// Computes in **O(1)** time, best case. /// Computes in **O(|V|^2)** time, worst case (matrix needs to be re-allocated). /// /// **Panics** if any of the nodes don't exist. pub fn update_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) -> Option<E> { self.extend_capacity_for_edge(a, b); let p = self.to_edge_position_unchecked(a, b); let old_weight = mem::replace(&mut self.node_adjacencies[p], Null::new(weight)); if old_weight.is_null() { self.nb_edges += 1; } old_weight.into() } /// Add an edge from `a` to `b` to the graph, with its associated /// data `weight`. /// /// Computes in **O(1)** time, best case. /// Computes in **O(|V|^2)** time, worst case (matrix needs to be re-allocated). /// /// **Panics** if any of the nodes don't exist. /// **Panics** if an edge already exists from `a` to `b`. /// /// **Note:** `MatrixGraph` does not allow adding parallel (“duplicate”) edges. If you want to avoid /// this, use [`.update_edge(a, b, weight)`](#method.update_edge) instead. pub fn add_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>, weight: E) { let old_edge_id = self.update_edge(a, b, weight); assert!(old_edge_id.is_none()); } /// Remove the edge from `a` to `b` to the graph. /// /// **Panics** if any of the nodes don't exist. /// **Panics** if no edge exists between `a` and `b`. pub fn remove_edge(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> E { let p = self .to_edge_position(a, b) .expect("No edge found between the nodes."); let old_weight = mem::take(&mut self.node_adjacencies[p]).into().unwrap(); let old_weight: Option<_> = old_weight.into(); self.nb_edges -= 1; old_weight.unwrap() } /// Return true if there is an edge between `a` and `b`. /// /// **Panics** if any of the nodes don't exist. pub fn has_edge(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { if let Some(p) = self.to_edge_position(a, b) { return !self.node_adjacencies[p].is_null(); } false } /// Access the weight for node `a`. /// /// Also available with indexing syntax: `&graph[a]`. /// /// **Panics** if the node doesn't exist. pub fn node_weight(&self, a: NodeIndex<Ix>) -> &N { &self.nodes[a.index()] } /// Access the weight for node `a`, mutably. /// /// Also available with indexing syntax: `&mut graph[a]`. /// /// **Panics** if the node doesn't exist. pub fn node_weight_mut(&mut self, a: NodeIndex<Ix>) -> &mut N { &mut self.nodes[a.index()] } /// Access the weight for edge `e`. /// /// Also available with indexing syntax: `&graph[e]`. /// /// **Panics** if no edge exists between `a` and `b`. pub fn edge_weight(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> &E { let p = self .to_edge_position(a, b) .expect("No edge found between the nodes."); self.node_adjacencies[p] .as_ref() .expect("No edge found between the nodes.") } /// Access the weight for edge `e`, mutably. /// /// Also available with indexing syntax: `&mut graph[e]`. /// /// **Panics** if no edge exists between `a` and `b`. pub fn edge_weight_mut(&mut self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> &mut E { let p = self .to_edge_position(a, b) .expect("No edge found between the nodes."); self.node_adjacencies[p] .as_mut() .expect("No edge found between the nodes.") } /// Return an iterator of all nodes with an edge starting from `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges from or to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is [`NodeIndex<Ix>`](../graph/struct.NodeIndex.html). pub fn neighbors(&self, a: NodeIndex<Ix>) -> Neighbors<Ty, Null, Ix> { Neighbors(Edges::on_columns( a.index(), &self.node_adjacencies, self.node_capacity, )) } /// Return an iterator of all edges of `a`. /// /// - `Directed`: Outgoing edges from `a`. /// - `Undirected`: All edges connected to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is `(NodeIndex<Ix>, NodeIndex<Ix>, &E)`. pub fn edges(&self, a: NodeIndex<Ix>) -> Edges<Ty, Null, Ix> { Edges::on_columns(a.index(), &self.node_adjacencies, self.node_capacity) } /// Create a new `MatrixGraph` from an iterable of edges. /// /// Node weights `N` are set to default values. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. /// /// ``` /// use petgraph::matrix_graph::MatrixGraph; /// /// let gr = MatrixGraph::<(), i32>::from_edges(&[ /// (0, 1), (0, 2), (0, 3), /// (1, 2), (1, 3), /// (2, 3), /// ]); /// ``` pub fn from_edges<I>(iterable: I) -> Self where I: IntoIterator, I::Item: IntoWeightedEdge<E>, <I::Item as IntoWeightedEdge<E>>::NodeId: Into<NodeIndex<Ix>>, N: Default, { let mut g = Self::default(); g.extend_with_edges(iterable); g } /// Extend the graph from an iterable of edges. /// /// Node weights `N` are set to default values. /// Edge weights `E` may either be specified in the list, /// or they are filled with default values. /// /// Nodes are inserted automatically to match the edges. pub fn extend_with_edges<I>(&mut self, iterable: I) where I: IntoIterator, I::Item: IntoWeightedEdge<E>, <I::Item as IntoWeightedEdge<E>>::NodeId: Into<NodeIndex<Ix>>, N: Default, { for elt in iterable { let (source, target, weight) = elt.into_weighted_edge(); let (source, target) = (source.into(), target.into()); let nx = cmp::max(source, target); while nx.index() >= self.node_count() { self.add_node(N::default()); } self.add_edge(source, target, weight); } } } impl<N, E, Null: Nullable<Wrapped = E>, Ix: IndexType> MatrixGraph<N, E, Directed, Null, Ix> { /// Return an iterator of all neighbors that have an edge between them and /// `a`, in the specified direction. /// If the graph's edges are undirected, this is equivalent to *.neighbors(a)*. /// /// - `Outgoing`: All edges from `a`. /// - `Incoming`: All edges to `a`. /// /// Produces an empty iterator if the node doesn't exist.<br> /// Iterator element type is [`NodeIndex<Ix>`](../graph/struct.NodeIndex.html). pub fn neighbors_directed( &self, a: NodeIndex<Ix>, d: Direction, ) -> Neighbors<Directed, Null, Ix> { if d == Outgoing { self.neighbors(a) } else { Neighbors(Edges::on_rows( a.index(), &self.node_adjacencies, self.node_capacity, )) } } /// Return an iterator of all edges of `a`, in the specified direction. /// /// - `Outgoing`: All edges from `a`. /// - `Incoming`: All edges to `a`. /// /// Produces an empty iterator if the node `a` doesn't exist.<br> /// Iterator element type is `(NodeIndex<Ix>, NodeIndex<Ix>, &E)`. pub fn edges_directed(&self, a: NodeIndex<Ix>, d: Direction) -> Edges<Directed, Null, Ix> { if d == Outgoing { self.edges(a) } else { Edges::on_rows(a.index(), &self.node_adjacencies, self.node_capacity) } } } /// Iterator over the node identifiers of a graph. /// /// Created from a call to [`.node_identifiers()`][1] on a [`MatrixGraph`][2]. /// /// [1]: ../visit/trait.IntoNodeIdentifiers.html#tymethod.node_identifiers /// [2]: struct.MatrixGraph.html #[derive(Debug, Clone)] pub struct NodeIdentifiers<'a, Ix> { iter: IdIterator<'a>, ix: PhantomData<Ix>, } impl<'a, Ix: IndexType> NodeIdentifiers<'a, Ix> { fn new(iter: IdIterator<'a>) -> Self { Self { iter, ix: PhantomData, } } } impl<'a, Ix: IndexType> Iterator for NodeIdentifiers<'a, Ix> { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(NodeIndex::new) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } /// Iterator over all nodes of a graph. /// /// Created from a call to [`.node_references()`][1] on a [`MatrixGraph`][2]. /// /// [1]: ../visit/trait.IntoNodeReferences.html#tymethod.node_references /// [2]: struct.MatrixGraph.html #[derive(Debug, Clone)] pub struct NodeReferences<'a, N: 'a, Ix> { nodes: &'a IdStorage<N>, iter: IdIterator<'a>, ix: PhantomData<Ix>, } impl<'a, N: 'a, Ix> NodeReferences<'a, N, Ix> { fn new(nodes: &'a IdStorage<N>) -> Self { NodeReferences { nodes, iter: nodes.iter_ids(), ix: PhantomData, } } } impl<'a, N: 'a, Ix: IndexType> Iterator for NodeReferences<'a, N, Ix> { type Item = (NodeIndex<Ix>, &'a N); fn next(&mut self) -> Option<Self::Item> { self.iter .next() .map(|i| (NodeIndex::new(i), &self.nodes[i])) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } /// Iterator over all edges of a graph. /// /// Created from a call to [`.edge_references()`][1] on a [`MatrixGraph`][2]. /// /// [1]: ../visit/trait.IntoEdgeReferences.html#tymethod.edge_references /// [2]: struct.MatrixGraph.html #[derive(Debug, Clone)] pub struct EdgeReferences<'a, Ty: EdgeType, Null: 'a + Nullable, Ix> { row: usize, column: usize, node_adjacencies: &'a [Null], node_capacity: usize, ty: PhantomData<Ty>, ix: PhantomData<Ix>, } impl<'a, Ty: EdgeType, Null: 'a + Nullable, Ix> EdgeReferences<'a, Ty, Null, Ix> { fn new(node_adjacencies: &'a [Null], node_capacity: usize) -> Self { EdgeReferences { row: 0, column: 0, node_adjacencies, node_capacity, ty: PhantomData, ix: PhantomData, } } } impl<'a, Ty: EdgeType, Null: Nullable, Ix: IndexType> Iterator for EdgeReferences<'a, Ty, Null, Ix> { type Item = (NodeIndex<Ix>, NodeIndex<Ix>, &'a Null::Wrapped); fn next(&mut self) -> Option<Self::Item> { loop { let (row, column) = (self.row, self.column); if row >= self.node_capacity { return None; } // By default, advance the column. Reset and advance the row if the column overflows. // // Note that for undirected graphs, we don't want to yield the same edge twice, // therefore the maximum column length should be the index new after the row index. self.column += 1; let max_column_len = if !Ty::is_directed() { row + 1 } else { self.node_capacity }; if self.column >= max_column_len { self.column = 0; self.row += 1; } let p = to_linearized_matrix_position::<Ty>(row, column, self.node_capacity); if let Some(e) = self.node_adjacencies[p].as_ref() { return Some((NodeIndex::new(row), NodeIndex::new(column), e)); } } } } /// Iterator over the neighbors of a node. /// /// Iterator element type is `NodeIndex<Ix>`. /// /// Created with [`.neighbors()`][1], [`.neighbors_directed()`][2]. /// /// [1]: struct.MatrixGraph.html#method.neighbors /// [2]: struct.MatrixGraph.html#method.neighbors_directed #[derive(Debug, Clone)] pub struct Neighbors<'a, Ty: EdgeType, Null: 'a + Nullable, Ix>(Edges<'a, Ty, Null, Ix>); impl<'a, Ty: EdgeType, Null: Nullable, Ix: IndexType> Iterator for Neighbors<'a, Ty, Null, Ix> { type Item = NodeIndex<Ix>; fn next(&mut self) -> Option<Self::Item> { self.0.next().map(|(_, b, _)| b) } fn size_hint(&self) -> (usize, Option<usize>) { self.0.size_hint() } } #[derive(Debug, Clone, Copy, PartialEq, Eq)] enum NeighborIterDirection { Rows, Columns, } /// Iterator over the edges of from or to a node /// /// Created with [`.edges()`][1], [`.edges_directed()`][2]. /// /// [1]: struct.MatrixGraph.html#method.edges /// [2]: struct.MatrixGraph.html#method.edges_directed #[derive(Debug, Clone)] pub struct Edges<'a, Ty: EdgeType, Null: 'a + Nullable, Ix> { iter_direction: NeighborIterDirection, node_adjacencies: &'a [Null], node_capacity: usize, row: usize, column: usize, ty: PhantomData<Ty>, ix: PhantomData<Ix>, } impl<'a, Ty: EdgeType, Null: 'a + Nullable, Ix> Edges<'a, Ty, Null, Ix> { fn on_columns(row: usize, node_adjacencies: &'a [Null], node_capacity: usize) -> Self { Edges { iter_direction: NeighborIterDirection::Columns, node_adjacencies, node_capacity, row, column: 0, ty: PhantomData, ix: PhantomData, } } fn on_rows(column: usize, node_adjacencies: &'a [Null], node_capacity: usize) -> Self { Edges { iter_direction: NeighborIterDirection::Rows, node_adjacencies, node_capacity, row: 0, column, ty: PhantomData, ix: PhantomData, } } } impl<'a, Ty: EdgeType, Null: Nullable, Ix: IndexType> Iterator for Edges<'a, Ty, Null, Ix> { type Item = (NodeIndex<Ix>, NodeIndex<Ix>, &'a Null::Wrapped); fn next(&mut self) -> Option<Self::Item> { use self::NeighborIterDirection::*; loop { let (row, column) = (self.row, self.column); if row >= self.node_capacity || column >= self.node_capacity { return None; } match self.iter_direction { Rows => self.row += 1, Columns => self.column += 1, } let p = to_linearized_matrix_position::<Ty>(row, column, self.node_capacity); if let Some(e) = self.node_adjacencies[p].as_ref() { let (a, b) = match self.iter_direction { Rows => (column, row), Columns => (row, column), }; return Some((NodeIndex::new(a), NodeIndex::new(b), e)); } } } } #[inline] fn to_linearized_matrix_position<Ty: EdgeType>(row: usize, column: usize, width: usize) -> usize { if Ty::is_directed() { to_flat_square_matrix_position(row, column, width) } else { to_lower_triangular_matrix_position(row, column) } } #[inline] fn extend_linearized_matrix<Ty: EdgeType, T: Default>( node_adjacencies: &mut Vec<T>, old_node_capacity: usize, new_capacity: usize, exact: bool, ) -> usize { if old_node_capacity >= new_capacity { return old_node_capacity; } if Ty::is_directed() { extend_flat_square_matrix(node_adjacencies, old_node_capacity, new_capacity, exact) } else { extend_lower_triangular_matrix(node_adjacencies, new_capacity) } } #[inline] fn to_flat_square_matrix_position(row: usize, column: usize, width: usize) -> usize { row * width + column } #[inline] fn extend_flat_square_matrix<T: Default>( node_adjacencies: &mut Vec<T>, old_node_capacity: usize, new_node_capacity: usize, exact: bool, ) -> usize { // Grow the capacity by exponential steps to avoid repeated allocations. // Disabled for the with_capacity constructor. let new_node_capacity = if exact { new_node_capacity } else { const MIN_CAPACITY: usize = 4; cmp::max(new_node_capacity.next_power_of_two(), MIN_CAPACITY) }; // Optimization: when resizing the matrix this way we skip the first few grows to make // small matrices a bit faster to work with. ensure_len(node_adjacencies, new_node_capacity.pow(2)); for c in (1..old_node_capacity).rev() { let pos = c * old_node_capacity; let new_pos = c * new_node_capacity; // Move the slices directly if they do not overlap with their new position if pos + old_node_capacity <= new_pos { debug_assert!(pos + old_node_capacity < node_adjacencies.len()); debug_assert!(new_pos + old_node_capacity < node_adjacencies.len()); let ptr = node_adjacencies.as_mut_ptr(); // SAFETY: pos + old_node_capacity <= new_pos, so this won't overlap unsafe { let old = ptr.add(pos); let new = ptr.add(new_pos); core::ptr::swap_nonoverlapping(old, new, old_node_capacity); } } else { for i in (0..old_node_capacity).rev() { node_adjacencies.as_mut_slice().swap(pos + i, new_pos + i); } } } new_node_capacity } #[inline] fn to_lower_triangular_matrix_position(row: usize, column: usize) -> usize { let (row, column) = if row > column { (row, column) } else { (column, row) }; (row * (row + 1)) / 2 + column } #[inline] fn extend_lower_triangular_matrix<T: Default>( node_adjacencies: &mut Vec<T>, new_capacity: usize, ) -> usize { let max_node = new_capacity - 1; let max_pos = to_lower_triangular_matrix_position(max_node, max_node); ensure_len(node_adjacencies, max_pos + 1); new_capacity } /// Grow a Vec by appending the type's default value until the `size` is reached. fn ensure_len<T: Default>(v: &mut Vec<T>, size: usize) { v.resize_with(size, T::default); } #[derive(Debug, Clone)] struct IdStorage<T> { elements: Vec<Option<T>>, upper_bound: usize, removed_ids: IndexSet<usize>, } impl<T> IdStorage<T> { fn with_capacity(capacity: usize) -> Self { IdStorage { elements: Vec::with_capacity(capacity), upper_bound: 0, removed_ids: IndexSet::new(), } } fn add(&mut self, element: T) -> usize { let id = if let Some(id) = self.removed_ids.pop() { id } else { let id = self.upper_bound; self.upper_bound += 1; ensure_len(&mut self.elements, id + 1); id }; self.elements[id] = Some(element); id } fn remove(&mut self, id: usize) -> T { let data = self.elements[id].take().unwrap(); if self.upper_bound - id == 1 { self.upper_bound -= 1; } else { self.removed_ids.insert(id); } data } fn clear(&mut self) { self.upper_bound = 0; self.elements.clear(); self.removed_ids.clear(); } #[inline] fn len(&self) -> usize { self.upper_bound - self.removed_ids.len() } fn iter_ids(&self) -> IdIterator { IdIterator { upper_bound: self.upper_bound, removed_ids: &self.removed_ids, current: None, } } } impl<T> Index<usize> for IdStorage<T> { type Output = T; fn index(&self, index: usize) -> &T { self.elements[index].as_ref().unwrap() } } impl<T> IndexMut<usize> for IdStorage<T> { fn index_mut(&mut self, index: usize) -> &mut T { self.elements[index].as_mut().unwrap() } } #[derive(Debug, Clone)] struct IdIterator<'a> { upper_bound: usize, removed_ids: &'a IndexSet<usize>, current: Option<usize>, } impl<'a> Iterator for IdIterator<'a> { type Item = usize; fn next(&mut self) -> Option<Self::Item> { // initialize / advance let current = { if self.current.is_none() { self.current = Some(0); self.current.as_mut().unwrap() } else { let current = self.current.as_mut().unwrap(); *current += 1; current } }; // skip removed ids while self.removed_ids.contains(current) && *current < self.upper_bound { *current += 1; } if *current < self.upper_bound { Some(*current) } else { None } } } /// Create a new empty `MatrixGraph`. impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> Default for MatrixGraph<N, E, Ty, Null, Ix> { fn default() -> Self { Self::with_capacity(0) } } impl<N, E> MatrixGraph<N, E, Directed> { /// Create a new `MatrixGraph` with directed edges. /// /// This is a convenience method. Use `MatrixGraph::with_capacity` or `MatrixGraph::default` for /// a constructor that is generic in all the type parameters of `MatrixGraph`. pub fn new() -> Self { MatrixGraph::default() } } impl<N, E> MatrixGraph<N, E, Undirected> { /// Create a new `MatrixGraph` with undirected edges. /// /// This is a convenience method. Use `MatrixGraph::with_capacity` or `MatrixGraph::default` for /// a constructor that is generic in all the type parameters of `MatrixGraph`. pub fn new_undirected() -> Self { MatrixGraph::default() } } /// Index the `MatrixGraph` by `NodeIndex` to access node weights. /// /// **Panics** if the node doesn't exist. impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> Index<NodeIndex<Ix>> for MatrixGraph<N, E, Ty, Null, Ix> { type Output = N; fn index(&self, ax: NodeIndex<Ix>) -> &N { self.node_weight(ax) } } /// Index the `MatrixGraph` by `NodeIndex` to access node weights. /// /// **Panics** if the node doesn't exist. impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IndexMut<NodeIndex<Ix>> for MatrixGraph<N, E, Ty, Null, Ix> { fn index_mut(&mut self, ax: NodeIndex<Ix>) -> &mut N { self.node_weight_mut(ax) } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> NodeCount for MatrixGraph<N, E, Ty, Null, Ix> { fn node_count(&self) -> usize { MatrixGraph::node_count(self) } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> EdgeCount for MatrixGraph<N, E, Ty, Null, Ix> { #[inline] fn edge_count(&self) -> usize { self.edge_count() } } /// Index the `MatrixGraph` by `NodeIndex` pair to access edge weights. /// /// Also available with indexing syntax: `&graph[e]`. /// /// **Panics** if no edge exists between `a` and `b`. impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> Index<(NodeIndex<Ix>, NodeIndex<Ix>)> for MatrixGraph<N, E, Ty, Null, Ix> { type Output = E; fn index(&self, (ax, bx): (NodeIndex<Ix>, NodeIndex<Ix>)) -> &E { self.edge_weight(ax, bx) } } /// Index the `MatrixGraph` by `NodeIndex` pair to access edge weights. /// /// Also available with indexing syntax: `&mut graph[e]`. /// /// **Panics** if no edge exists between `a` and `b`. impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IndexMut<(NodeIndex<Ix>, NodeIndex<Ix>)> for MatrixGraph<N, E, Ty, Null, Ix> { fn index_mut(&mut self, (ax, bx): (NodeIndex<Ix>, NodeIndex<Ix>)) -> &mut E { self.edge_weight_mut(ax, bx) } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> GetAdjacencyMatrix for MatrixGraph<N, E, Ty, Null, Ix> { type AdjMatrix = (); fn adjacency_matrix(&self) -> Self::AdjMatrix {} fn is_adjacent(&self, _: &Self::AdjMatrix, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { MatrixGraph::has_edge(self, a, b) } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> Visitable for MatrixGraph<N, E, Ty, Null, Ix> { type Map = FixedBitSet; fn visit_map(&self) -> FixedBitSet { FixedBitSet::with_capacity(self.node_bound()) } fn reset_map(&self, map: &mut Self::Map) { map.clear(); map.grow(self.node_bound()); } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> GraphBase for MatrixGraph<N, E, Ty, Null, Ix> { type NodeId = NodeIndex<Ix>; type EdgeId = (NodeIndex<Ix>, NodeIndex<Ix>); } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> GraphProp for MatrixGraph<N, E, Ty, Null, Ix> { type EdgeType = Ty; } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> Data for MatrixGraph<N, E, Ty, Null, Ix> { type NodeWeight = N; type EdgeWeight = E; } impl<'a, N, E: 'a, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoNodeIdentifiers for &'a MatrixGraph<N, E, Ty, Null, Ix> { type NodeIdentifiers = NodeIdentifiers<'a, Ix>; fn node_identifiers(self) -> Self::NodeIdentifiers { NodeIdentifiers::new(self.nodes.iter_ids()) } } impl<'a, N, E: 'a, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoNeighbors for &'a MatrixGraph<N, E, Ty, Null, Ix> { type Neighbors = Neighbors<'a, Ty, Null, Ix>; fn neighbors(self, a: NodeIndex<Ix>) -> Self::Neighbors { MatrixGraph::neighbors(self, a) } } impl<'a, N, E: 'a, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoNeighborsDirected for &'a MatrixGraph<N, E, Directed, Null, Ix> { type NeighborsDirected = Neighbors<'a, Directed, Null, Ix>; fn neighbors_directed(self, a: NodeIndex<Ix>, d: Direction) -> Self::NeighborsDirected { MatrixGraph::neighbors_directed(self, a, d) } } impl<'a, N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoNodeReferences for &'a MatrixGraph<N, E, Ty, Null, Ix> { type NodeRef = (NodeIndex<Ix>, &'a N); type NodeReferences = NodeReferences<'a, N, Ix>; fn node_references(self) -> Self::NodeReferences { NodeReferences::new(&self.nodes) } } impl<'a, N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoEdgeReferences for &'a MatrixGraph<N, E, Ty, Null, Ix> { type EdgeRef = (NodeIndex<Ix>, NodeIndex<Ix>, &'a E); type EdgeReferences = EdgeReferences<'a, Ty, Null, Ix>; fn edge_references(self) -> Self::EdgeReferences { EdgeReferences::new(&self.node_adjacencies, self.node_capacity) } } impl<'a, N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoEdges for &'a MatrixGraph<N, E, Ty, Null, Ix> { type Edges = Edges<'a, Ty, Null, Ix>; fn edges(self, a: Self::NodeId) -> Self::Edges { MatrixGraph::edges(self, a) } } impl<'a, N, E, Null: Nullable<Wrapped = E>, Ix: IndexType> IntoEdgesDirected for &'a MatrixGraph<N, E, Directed, Null, Ix> { type EdgesDirected = Edges<'a, Directed, Null, Ix>; fn edges_directed(self, a: Self::NodeId, dir: Direction) -> Self::EdgesDirected { MatrixGraph::edges_directed(self, a, dir) } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> NodeIndexable for MatrixGraph<N, E, Ty, Null, Ix> { fn node_bound(&self) -> usize { self.nodes.upper_bound } fn to_index(&self, ix: NodeIndex<Ix>) -> usize { ix.index() } fn from_index(&self, ix: usize) -> Self::NodeId { NodeIndex::new(ix) } } impl<N, E, Ty: EdgeType, Null: Nullable<Wrapped = E>, Ix: IndexType> Build for MatrixGraph<N, E, Ty, Null, Ix> { fn add_node(&mut self, weight: Self::NodeWeight) -> Self::NodeId { self.add_node(weight) } fn add_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Option<Self::EdgeId> { if !self.has_edge(a, b) { MatrixGraph::update_edge(self, a, b, weight); Some((a, b)) } else { None } } fn update_edge( &mut self, a: Self::NodeId, b: Self::NodeId, weight: Self::EdgeWeight, ) -> Self::EdgeId { MatrixGraph::update_edge(self, a, b, weight); (a, b) } } #[cfg(test)] mod tests { use super::*; use crate::{Incoming, Outgoing}; #[test] fn test_new() { let g = MatrixGraph::<i32, i32>::new(); assert_eq!(g.node_count(), 0); assert_eq!(g.edge_count(), 0); } #[test] fn test_default() { let g = MatrixGraph::<i32, i32>::default(); assert_eq!(g.node_count(), 0); assert_eq!(g.edge_count(), 0); } #[test] fn test_with_capacity() { let g = MatrixGraph::<i32, i32>::with_capacity(10); assert_eq!(g.node_count(), 0); assert_eq!(g.edge_count(), 0); } #[test] fn test_node_indexing() { let mut g: MatrixGraph<char, ()> = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); assert_eq!(g.node_count(), 2); assert_eq!(g.edge_count(), 0); assert_eq!(g[a], 'a'); assert_eq!(g[b], 'b'); } #[test] fn test_remove_node() { let mut g: MatrixGraph<char, ()> = MatrixGraph::new(); let a = g.add_node('a'); g.remove_node(a); assert_eq!(g.node_count(), 0); assert_eq!(g.edge_count(), 0); } #[test] fn test_add_edge() { let mut g = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); g.add_edge(a, b, ()); g.add_edge(b, c, ()); assert_eq!(g.node_count(), 3); assert_eq!(g.edge_count(), 2); } #[test] /// Adds an edge that triggers a second extension of the matrix. /// From #425 fn test_add_edge_with_extension() { let mut g = DiMatrix::<u8, ()>::new(); let _n0 = g.add_node(0); let n1 = g.add_node(1); let n2 = g.add_node(2); let n3 = g.add_node(3); let n4 = g.add_node(4); let _n5 = g.add_node(5); g.add_edge(n2, n1, ()); g.add_edge(n2, n3, ()); g.add_edge(n2, n4, ()); assert_eq!(g.node_count(), 6); assert_eq!(g.edge_count(), 3); assert!(g.has_edge(n2, n1)); assert!(g.has_edge(n2, n3)); assert!(g.has_edge(n2, n4)); } #[test] fn test_matrix_resize() { let mut g = DiMatrix::<u8, ()>::with_capacity(3); let n0 = g.add_node(0); let n1 = g.add_node(1); let n2 = g.add_node(2); let n3 = g.add_node(3); g.add_edge(n1, n0, ()); g.add_edge(n1, n1, ()); // Triggers a resize from capacity 3 to 4 g.add_edge(n2, n3, ()); assert_eq!(g.node_count(), 4); assert_eq!(g.edge_count(), 3); assert!(g.has_edge(n1, n0)); assert!(g.has_edge(n1, n1)); assert!(g.has_edge(n2, n3)); } #[test] fn test_add_edge_with_weights() { let mut g = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); g.add_edge(a, b, true); g.add_edge(b, c, false); assert_eq!(*g.edge_weight(a, b), true); assert_eq!(*g.edge_weight(b, c), false); } #[test] fn test_add_edge_with_weights_undirected() { let mut g = MatrixGraph::new_undirected(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); let d = g.add_node('d'); g.add_edge(a, b, "ab"); g.add_edge(a, a, "aa"); g.add_edge(b, c, "bc"); g.add_edge(d, d, "dd"); assert_eq!(*g.edge_weight(a, b), "ab"); assert_eq!(*g.edge_weight(b, c), "bc"); } /// Shorthand for `.collect::<Vec<_>>()` trait IntoVec<T> { fn into_vec(self) -> Vec<T>; } impl<It, T> IntoVec<T> for It where It: Iterator<Item = T>, { fn into_vec(self) -> Vec<T> { self.collect() } } #[test] fn test_clear() { let mut g = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); assert_eq!(g.node_count(), 3); g.add_edge(a, b, ()); g.add_edge(b, c, ()); g.add_edge(c, a, ()); assert_eq!(g.edge_count(), 3); g.clear(); assert_eq!(g.node_count(), 0); assert_eq!(g.edge_count(), 0); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); assert_eq!(g.node_count(), 3); assert_eq!(g.edge_count(), 0); assert_eq!(g.neighbors_directed(a, Incoming).into_vec(), vec![]); assert_eq!(g.neighbors_directed(b, Incoming).into_vec(), vec![]); assert_eq!(g.neighbors_directed(c, Incoming).into_vec(), vec![]); assert_eq!(g.neighbors_directed(a, Outgoing).into_vec(), vec![]); assert_eq!(g.neighbors_directed(b, Outgoing).into_vec(), vec![]); assert_eq!(g.neighbors_directed(c, Outgoing).into_vec(), vec![]); } #[test] fn test_clear_undirected() { let mut g = MatrixGraph::new_undirected(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); assert_eq!(g.node_count(), 3); g.add_edge(a, b, ()); g.add_edge(b, c, ()); g.add_edge(c, a, ()); assert_eq!(g.edge_count(), 3); g.clear(); assert_eq!(g.node_count(), 0); assert_eq!(g.edge_count(), 0); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); assert_eq!(g.node_count(), 3); assert_eq!(g.edge_count(), 0); assert_eq!(g.neighbors(a).into_vec(), vec![]); assert_eq!(g.neighbors(b).into_vec(), vec![]); assert_eq!(g.neighbors(c).into_vec(), vec![]); } /// Helper trait for always sorting before testing. trait IntoSortedVec<T> { fn into_sorted_vec(self) -> Vec<T>; } impl<It, T> IntoSortedVec<T> for It where It: Iterator<Item = T>, T: Ord, { fn into_sorted_vec(self) -> Vec<T> { let mut v: Vec<T> = self.collect(); v.sort(); v } } /// Helper macro for always sorting before testing. macro_rules! sorted_vec { ($($x:expr),*) => { { let mut v = vec![$($x,)*]; v.sort(); v } } } #[test] fn test_neighbors() { let mut g = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); g.add_edge(a, b, ()); g.add_edge(a, c, ()); let a_neighbors = g.neighbors(a).into_sorted_vec(); assert_eq!(a_neighbors, sorted_vec![b, c]); let b_neighbors = g.neighbors(b).into_sorted_vec(); assert_eq!(b_neighbors, vec![]); let c_neighbors = g.neighbors(c).into_sorted_vec(); assert_eq!(c_neighbors, vec![]); } #[test] fn test_neighbors_undirected() { let mut g = MatrixGraph::new_undirected(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); g.add_edge(a, b, ()); g.add_edge(a, c, ()); let a_neighbors = g.neighbors(a).into_sorted_vec(); assert_eq!(a_neighbors, sorted_vec![b, c]); let b_neighbors = g.neighbors(b).into_sorted_vec(); assert_eq!(b_neighbors, sorted_vec![a]); let c_neighbors = g.neighbors(c).into_sorted_vec(); assert_eq!(c_neighbors, sorted_vec![a]); } #[test] fn test_remove_node_and_edges() { let mut g = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); g.add_edge(a, b, ()); g.add_edge(b, c, ()); g.add_edge(c, a, ()); // removing b should break the `a -> b` and `b -> c` edges g.remove_node(b); assert_eq!(g.node_count(), 2); let a_neighbors = g.neighbors(a).into_sorted_vec(); assert_eq!(a_neighbors, vec![]); let c_neighbors = g.neighbors(c).into_sorted_vec(); assert_eq!(c_neighbors, vec![a]); } #[test] fn test_remove_node_and_edges_undirected() { let mut g = UnMatrix::new_undirected(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); g.add_edge(a, b, ()); g.add_edge(b, c, ()); g.add_edge(c, a, ()); // removing a should break the `a - b` and `a - c` edges g.remove_node(a); assert_eq!(g.node_count(), 2); let b_neighbors = g.neighbors(b).into_sorted_vec(); assert_eq!(b_neighbors, vec![c]); let c_neighbors = g.neighbors(c).into_sorted_vec(); assert_eq!(c_neighbors, vec![b]); } #[test] fn test_node_identifiers() { let mut g = MatrixGraph::new(); let a = g.add_node('a'); let b = g.add_node('b'); let c = g.add_node('c'); let d = g.add_node('c'); g.add_edge(a, b, ()); g.add_edge(a, c, ()); let node_ids = g.node_identifiers().into_sorted_vec(); assert_eq!(node_ids, sorted_vec![a, b, c, d]); } #[test] fn test_edges_directed() { let g: MatrixGraph<char, bool> = MatrixGraph::from_edges(&[ (0, 5), (0, 2), (0, 3), (0, 1), (1, 3), (2, 3), (2, 4), (4, 0), (6, 6), ]); assert_eq!(g.edges_directed(node_index(0), Outgoing).count(), 4); assert_eq!(g.edges_directed(node_index(1), Outgoing).count(), 1); assert_eq!(g.edges_directed(node_index(2), Outgoing).count(), 2); assert_eq!(g.edges_directed(node_index(3), Outgoing).count(), 0); assert_eq!(g.edges_directed(node_index(4), Outgoing).count(), 1); assert_eq!(g.edges_directed(node_index(5), Outgoing).count(), 0); assert_eq!(g.edges_directed(node_index(6), Outgoing).count(), 1); assert_eq!(g.edges_directed(node_index(0), Incoming).count(), 1); assert_eq!(g.edges_directed(node_index(1), Incoming).count(), 1); assert_eq!(g.edges_directed(node_index(2), Incoming).count(), 1); assert_eq!(g.edges_directed(node_index(3), Incoming).count(), 3); assert_eq!(g.edges_directed(node_index(4), Incoming).count(), 1); assert_eq!(g.edges_directed(node_index(5), Incoming).count(), 1); assert_eq!(g.edges_directed(node_index(6), Incoming).count(), 1); } #[test] fn test_edges_undirected() { let g: UnMatrix<char, bool> = UnMatrix::from_edges(&[ (0, 5), (0, 2), (0, 3), (0, 1), (1, 3), (2, 3), (2, 4), (4, 0), (6, 6), ]); assert_eq!(g.edges(node_index(0)).count(), 5); assert_eq!(g.edges(node_index(1)).count(), 2); assert_eq!(g.edges(node_index(2)).count(), 3); assert_eq!(g.edges(node_index(3)).count(), 3); assert_eq!(g.edges(node_index(4)).count(), 2); assert_eq!(g.edges(node_index(5)).count(), 1); assert_eq!(g.edges(node_index(6)).count(), 1); } #[test] fn test_edges_of_absent_node_is_empty_iterator() { let g: MatrixGraph<char, bool> = MatrixGraph::new(); assert_eq!(g.edges(node_index(0)).count(), 0); } #[test] fn test_neighbors_of_absent_node_is_empty_iterator() { let g: MatrixGraph<char, bool> = MatrixGraph::new(); assert_eq!(g.neighbors(node_index(0)).count(), 0); } #[test] fn test_edge_references() { let g: MatrixGraph<char, bool> = MatrixGraph::from_edges(&[ (0, 5), (0, 2), (0, 3), (0, 1), (1, 3), (2, 3), (2, 4), (4, 0), (6, 6), ]); assert_eq!(g.edge_references().count(), 9); } #[test] fn test_edge_references_undirected() { let g: UnMatrix<char, bool> = UnMatrix::from_edges(&[ (0, 5), (0, 2), (0, 3), (0, 1), (1, 3), (2, 3), (2, 4), (4, 0), (6, 6), ]); assert_eq!(g.edge_references().count(), 9); } #[test] fn test_id_storage() { use super::IdStorage; let mut storage: IdStorage<char> = IdStorage::with_capacity(0); let a = storage.add('a'); let b = storage.add('b'); let c = storage.add('c'); assert!(a < b && b < c); // list IDs assert_eq!(storage.iter_ids().into_vec(), vec![a, b, c]); storage.remove(b); // re-use of IDs let bb = storage.add('B'); assert_eq!(b, bb); // list IDs assert_eq!(storage.iter_ids().into_vec(), vec![a, b, c]); } #[test] fn test_not_zero() { let mut g: MatrixGraph<(), i32, Directed, NotZero<i32>> = MatrixGraph::default(); let a = g.add_node(()); let b = g.add_node(()); assert!(!g.has_edge(a, b)); assert_eq!(g.edge_count(), 0); g.add_edge(a, b, 12); assert!(g.has_edge(a, b)); assert_eq!(g.edge_count(), 1); assert_eq!(g.edge_weight(a, b), &12); g.remove_edge(a, b); assert!(!g.has_edge(a, b)); assert_eq!(g.edge_count(), 0); } #[test] #[should_panic] fn test_not_zero_asserted() { let mut g: MatrixGraph<(), i32, Directed, NotZero<i32>> = MatrixGraph::default(); let a = g.add_node(()); let b = g.add_node(()); g.add_edge(a, b, 0); // this should trigger an assertion } #[test] fn test_not_zero_float() { let mut g: MatrixGraph<(), f32, Directed, NotZero<f32>> = MatrixGraph::default(); let a = g.add_node(()); let b = g.add_node(()); assert!(!g.has_edge(a, b)); assert_eq!(g.edge_count(), 0); g.add_edge(a, b, 12.); assert!(g.has_edge(a, b)); assert_eq!(g.edge_count(), 1); assert_eq!(g.edge_weight(a, b), &12.); g.remove_edge(a, b); assert!(!g.has_edge(a, b)); assert_eq!(g.edge_count(), 0); } #[test] // From https://github.com/petgraph/petgraph/issues/523 fn test_tarjan_scc_with_removed_node() { let mut g: MatrixGraph<(), ()> = MatrixGraph::new(); g.add_node(()); let b = g.add_node(()); g.add_node(()); g.remove_node(b); assert_eq!( crate::algo::tarjan_scc(&g), [[node_index(0)], [node_index(2)]] ); } #[test] // From https://github.com/petgraph/petgraph/issues/523 fn test_kosaraju_scc_with_removed_node() { let mut g: MatrixGraph<(), ()> = MatrixGraph::new(); g.add_node(()); let b = g.add_node(()); g.add_node(()); g.remove_node(b); assert_eq!( crate::algo::kosaraju_scc(&g), [[node_index(2)], [node_index(0)]] ); } } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/operator.rs����������������������������������������������������������������������0000644�0000000�0000000�00000004126�10461020230�0014440�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Operators for creating new graphs from existings ones. use super::graph::{Graph, IndexType}; use super::EdgeType; use crate::visit::IntoNodeReferences; /// \[Generic\] complement of the graph /// /// Computes the graph complement of the input Graph and stores it /// in the provided empty output Graph. /// /// The function does not create self-loops. /// /// Computes in **O(|V|^2*log(|V|))** time (average). /// /// Returns the complement. /// /// # Example /// ```rust /// use petgraph::Graph; /// use petgraph::operator::complement; /// use petgraph::prelude::*; /// /// let mut graph: Graph<(),(),Directed> = Graph::new(); /// let a = graph.add_node(()); // node with no weight /// let b = graph.add_node(()); /// let c = graph.add_node(()); /// let d = graph.add_node(()); /// /// graph.extend_with_edges(&[ /// (a, b), /// (b, c), /// (c, d), /// ]); /// // a ----> b ----> c ----> d /// /// let mut output: Graph<(), (), Directed> = Graph::new(); /// /// complement(&graph, &mut output, ()); /// /// let mut expected_res: Graph<(), (), Directed> = Graph::new(); /// let a = expected_res.add_node(()); /// let b = expected_res.add_node(()); /// let c = expected_res.add_node(()); /// let d = expected_res.add_node(()); /// expected_res.extend_with_edges(&[ /// (a, c), /// (a, d), /// (b, a), /// (b, d), /// (c, a), /// (c, b), /// (d, a), /// (d, b), /// (d, c), /// ]); /// /// for x in graph.node_indices() { /// for y in graph.node_indices() { /// assert_eq!(output.contains_edge(x, y), expected_res.contains_edge(x, y)); /// } /// } /// ``` pub fn complement<N, E, Ty, Ix>( input: &Graph<N, E, Ty, Ix>, output: &mut Graph<N, E, Ty, Ix>, weight: E, ) where Ty: EdgeType, Ix: IndexType, E: Clone, N: Clone, { for (_node, weight) in input.node_references() { output.add_node(weight.clone()); } for x in input.node_indices() { for y in input.node_indices() { if x != y && !input.contains_edge(x, y) { output.add_edge(x, y, weight.clone()); } } } } ������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/prelude.rs�����������������������������������������������������������������������0000644�0000000�0000000�00000001132�10461020230�0014237�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Commonly used items. //! //! ``` //! use petgraph::prelude::*; //! ``` #[doc(no_inline)] pub use crate::graph::{DiGraph, EdgeIndex, Graph, NodeIndex, UnGraph}; #[cfg(feature = "graphmap")] #[doc(no_inline)] pub use crate::graphmap::{DiGraphMap, GraphMap, UnGraphMap}; #[doc(no_inline)] #[cfg(feature = "stable_graph")] pub use crate::stable_graph::{StableDiGraph, StableGraph, StableUnGraph}; #[doc(no_inline)] pub use crate::visit::{Bfs, Dfs, DfsPostOrder}; #[doc(no_inline)] pub use crate::{Directed, Direction, Incoming, Outgoing, Undirected}; #[doc(no_inline)] pub use crate::visit::EdgeRef; ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/quickcheck.rs��������������������������������������������������������������������0000644�0000000�0000000�00000015375�10461020230�0014727�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������extern crate quickcheck; use self::quickcheck::{Arbitrary, Gen}; use crate::graph::{node_index, IndexType}; #[cfg(feature = "stable_graph")] use crate::stable_graph::StableGraph; use crate::{EdgeType, Graph}; #[cfg(feature = "graphmap")] use crate::graphmap::{GraphMap, NodeTrait}; use crate::visit::NodeIndexable; /// Return a random float in the range [0, 1.) fn random_01<G: Gen>(g: &mut G) -> f64 { // from rand let bits = 53; let scale = 1. / ((1u64 << bits) as f64); let x: u64 = Arbitrary::arbitrary(g); (x >> (64 - bits)) as f64 * scale } /// `Arbitrary` for `Graph` creates a graph by selecting a node count /// and a probability for each possible edge to exist. /// /// The result will be simple graph or digraph, self loops /// possible, no parallel edges. /// /// The exact properties of the produced graph is subject to change. /// /// Requires crate feature `"quickcheck"` impl<N, E, Ty, Ix> Arbitrary for Graph<N, E, Ty, Ix> where N: Arbitrary, E: Arbitrary, Ty: EdgeType + Send + 'static, Ix: IndexType + Send, { fn arbitrary<G: Gen>(g: &mut G) -> Self { let nodes = usize::arbitrary(g); if nodes == 0 { return Graph::with_capacity(0, 0); } // use X² for edge probability (bias towards lower) let edge_prob = random_01(g) * random_01(g); let edges = ((nodes as f64).powi(2) * edge_prob) as usize; let mut gr = Graph::with_capacity(nodes, edges); for _ in 0..nodes { gr.add_node(N::arbitrary(g)); } for i in gr.node_indices() { for j in gr.node_indices() { if !gr.is_directed() && i > j { continue; } let p: f64 = random_01(g); if p <= edge_prob { gr.add_edge(i, j, E::arbitrary(g)); } } } gr } // shrink the graph by splitting it in two by a very // simple algorithm, just even and odd node indices fn shrink(&self) -> Box<dyn Iterator<Item = Self>> { let self_ = self.clone(); Box::new((0..2).filter_map(move |x| { let gr = self_.filter_map( |i, w| { if i.index() % 2 == x { Some(w.clone()) } else { None } }, |_, w| Some(w.clone()), ); // make sure we shrink if gr.node_count() < self_.node_count() { Some(gr) } else { None } })) } } #[cfg(feature = "stable_graph")] /// `Arbitrary` for `StableGraph` creates a graph by selecting a node count /// and a probability for each possible edge to exist. /// /// The result will be simple graph or digraph, with possible /// self loops, no parallel edges. /// /// The exact properties of the produced graph is subject to change. /// /// Requires crate features `"quickcheck"` and `"stable_graph"` impl<N, E, Ty, Ix> Arbitrary for StableGraph<N, E, Ty, Ix> where N: Arbitrary, E: Arbitrary, Ty: EdgeType + Send + 'static, Ix: IndexType + Send, { fn arbitrary<G: Gen>(g: &mut G) -> Self { let nodes = usize::arbitrary(g); if nodes == 0 { return StableGraph::with_capacity(0, 0); } // use X² for edge probability (bias towards lower) let edge_prob = random_01(g) * random_01(g); let edges = ((nodes as f64).powi(2) * edge_prob) as usize; let mut gr = StableGraph::with_capacity(nodes, edges); for _ in 0..nodes { gr.add_node(N::arbitrary(g)); } for i in 0..gr.node_count() { for j in 0..gr.node_count() { let i = node_index(i); let j = node_index(j); if !gr.is_directed() && i > j { continue; } let p: f64 = random_01(g); if p <= edge_prob { gr.add_edge(i, j, E::arbitrary(g)); } } } if bool::arbitrary(g) { // potentially remove nodes to make holes in nodes & edge sets let n = u8::arbitrary(g) % (gr.node_count() as u8); for _ in 0..n { let ni = node_index(usize::arbitrary(g) % gr.node_bound()); if gr.node_weight(ni).is_some() { gr.remove_node(ni); } } } gr } // shrink the graph by splitting it in two by a very // simple algorithm, just even and odd node indices fn shrink(&self) -> Box<dyn Iterator<Item = Self>> { let self_ = self.clone(); Box::new((0..2).filter_map(move |x| { let gr = self_.filter_map( |i, w| { if i.index() % 2 == x { Some(w.clone()) } else { None } }, |_, w| Some(w.clone()), ); // make sure we shrink if gr.node_count() < self_.node_count() { Some(gr) } else { None } })) } } /// `Arbitrary` for `GraphMap` creates a graph by selecting a node count /// and a probability for each possible edge to exist. /// /// The result will be simple graph or digraph, self loops /// possible, no parallel edges. /// /// The exact properties of the produced graph is subject to change. /// /// Requires crate features `"quickcheck"` and `"graphmap"` #[cfg(feature = "graphmap")] impl<N, E, Ty> Arbitrary for GraphMap<N, E, Ty> where N: NodeTrait + Arbitrary, E: Arbitrary, Ty: EdgeType + Clone + Send + 'static, { fn arbitrary<G: Gen>(g: &mut G) -> Self { let nodes = usize::arbitrary(g); if nodes == 0 { return GraphMap::with_capacity(0, 0); } let mut nodes = (0..nodes).map(|_| N::arbitrary(g)).collect::<Vec<_>>(); nodes.sort(); nodes.dedup(); // use X² for edge probability (bias towards lower) let edge_prob = random_01(g) * random_01(g); let edges = ((nodes.len() as f64).powi(2) * edge_prob) as usize; let mut gr = GraphMap::with_capacity(nodes.len(), edges); for &node in &nodes { gr.add_node(node); } for (index, &i) in nodes.iter().enumerate() { let js = if Ty::is_directed() { &nodes[..] } else { &nodes[index..] }; for &j in js { let p: f64 = random_01(g); if p <= edge_prob { gr.add_edge(i, j, E::arbitrary(g)); } } } gr } } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/scored.rs������������������������������������������������������������������������0000644�0000000�0000000�00000002765�10461020230�0014073�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::cmp::Ordering; /// `MinScored<K, T>` holds a score `K` and a scored object `T` in /// a pair for use with a `BinaryHeap`. /// /// `MinScored` compares in reverse order by the score, so that we can /// use `BinaryHeap` as a min-heap to extract the score-value pair with the /// least score. /// /// **Note:** `MinScored` implements a total order (`Ord`), so that it is /// possible to use float types as scores. #[derive(Copy, Clone, Debug)] pub struct MinScored<K, T>(pub K, pub T); impl<K: PartialOrd, T> PartialEq for MinScored<K, T> { #[inline] fn eq(&self, other: &MinScored<K, T>) -> bool { self.cmp(other) == Ordering::Equal } } impl<K: PartialOrd, T> Eq for MinScored<K, T> {} impl<K: PartialOrd, T> PartialOrd for MinScored<K, T> { #[inline] fn partial_cmp(&self, other: &MinScored<K, T>) -> Option<Ordering> { Some(self.cmp(other)) } } impl<K: PartialOrd, T> Ord for MinScored<K, T> { #[inline] fn cmp(&self, other: &MinScored<K, T>) -> Ordering { let a = &self.0; let b = &other.0; if a == b { Ordering::Equal } else if a < b { Ordering::Greater } else if a > b { Ordering::Less } else if a.ne(a) && b.ne(b) { // these are the NaN cases Ordering::Equal } else if a.ne(a) { // Order NaN less, so that it is last in the MinScore order Ordering::Less } else { Ordering::Greater } } } �����������petgraph-0.6.4/src/serde_utils.rs�������������������������������������������������������������������0000644�0000000�0000000�00000005007�10461020230�0015126�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use serde::de::{Deserialize, Error, SeqAccess, Visitor}; use serde::ser::{Serialize, SerializeSeq, Serializer}; use std::fmt; use std::marker::PhantomData; /// Map to serializeable representation pub trait IntoSerializable { type Output; fn into_serializable(self) -> Self::Output; } /// Map from deserialized representation pub trait FromDeserialized: Sized { type Input; fn from_deserialized<E>(input: Self::Input) -> Result<Self, E> where E: Error; } /// Serde combinator. A sequence visitor that maps deserialized elements /// lazily; the visitor can also emit new errors if the elements have errors. pub struct MappedSequenceVisitor<T, R, F> where F: Fn(T) -> Result<R, &'static str>, { f: F, marker: PhantomData<fn() -> T>, } impl<'de, F, T, R> MappedSequenceVisitor<T, R, F> where T: Deserialize<'de>, F: Fn(T) -> Result<R, &'static str>, { pub fn new(f: F) -> Self { MappedSequenceVisitor { f: f, marker: PhantomData, } } } impl<'de, F, T, R> Visitor<'de> for MappedSequenceVisitor<T, R, F> where T: Deserialize<'de>, F: Fn(T) -> Result<R, &'static str>, { type Value = Vec<R>; fn expecting(&self, formatter: &mut fmt::Formatter) -> fmt::Result { write!(formatter, "a sequence") } fn visit_seq<A>(self, mut seq: A) -> Result<Self::Value, A::Error> where A: SeqAccess<'de>, { let mut v = Vec::new(); while let Some(elem) = seq.next_element()? { match (self.f)(elem) { Err(s) => Err(<A::Error>::custom(s))?, Ok(x) => v.push(x), } } Ok(v) } } pub trait CollectSeqWithLength: Serializer { fn collect_seq_with_length<I>(self, length: usize, iterable: I) -> Result<Self::Ok, Self::Error> where I: IntoIterator, I::Item: Serialize, { let mut count = 0; let mut seq = self.serialize_seq(Some(length))?; for element in iterable { seq.serialize_element(&element)?; count += 1; } debug_assert_eq!(length, count, "collect_seq_with_length: length mismatch!"); seq.end() } fn collect_seq_exact<I>(self, iterable: I) -> Result<Self::Ok, Self::Error> where I: IntoIterator, I::Item: Serialize, I::IntoIter: ExactSizeIterator, { let iter = iterable.into_iter(); self.collect_seq_with_length(iter.len(), iter) } } impl<S> CollectSeqWithLength for S where S: Serializer {} �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/traits_graph.rs������������������������������������������������������������������0000644�0000000�0000000�00000004262�10461020230�0015275�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use fixedbitset::FixedBitSet; use super::EdgeType; use super::graph::{Graph, IndexType, NodeIndex}; #[cfg(feature = "stable_graph")] use crate::stable_graph::StableGraph; use crate::visit::EdgeRef; #[cfg(feature = "stable_graph")] use crate::visit::{IntoEdgeReferences, NodeIndexable}; use super::visit::GetAdjacencyMatrix; /// The adjacency matrix for **Graph** is a bitmap that's computed by /// `.adjacency_matrix()`. impl<N, E, Ty, Ix> GetAdjacencyMatrix for Graph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type AdjMatrix = FixedBitSet; fn adjacency_matrix(&self) -> FixedBitSet { let n = self.node_count(); let mut matrix = FixedBitSet::with_capacity(n * n); for edge in self.edge_references() { let i = edge.source().index() * n + edge.target().index(); matrix.put(i); if !self.is_directed() { let j = edge.source().index() + n * edge.target().index(); matrix.put(j); } } matrix } fn is_adjacent(&self, matrix: &FixedBitSet, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { let n = self.node_count(); let index = n * a.index() + b.index(); matrix.contains(index) } } #[cfg(feature = "stable_graph")] /// The adjacency matrix for **Graph** is a bitmap that's computed by /// `.adjacency_matrix()`. impl<N, E, Ty, Ix> GetAdjacencyMatrix for StableGraph<N, E, Ty, Ix> where Ty: EdgeType, Ix: IndexType, { type AdjMatrix = FixedBitSet; fn adjacency_matrix(&self) -> FixedBitSet { let n = self.node_bound(); let mut matrix = FixedBitSet::with_capacity(n * n); for edge in self.edge_references() { let i = edge.source().index() * n + edge.target().index(); matrix.put(i); if !self.is_directed() { let j = edge.source().index() + n * edge.target().index(); matrix.put(j); } } matrix } fn is_adjacent(&self, matrix: &FixedBitSet, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> bool { let n = self.node_count(); let index = n * a.index() + b.index(); matrix.contains(index) } } ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/unionfind.rs���������������������������������������������������������������������0000644�0000000�0000000�00000011147�10461020230�0014577�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! `UnionFind<K>` is a disjoint-set data structure. use super::graph::IndexType; use std::cmp::Ordering; /// `UnionFind<K>` is a disjoint-set data structure. It tracks set membership of *n* elements /// indexed from *0* to *n - 1*. The scalar type is `K` which must be an unsigned integer type. /// /// <http://en.wikipedia.org/wiki/Disjoint-set_data_structure> /// /// Too awesome not to quote: /// /// “The amortized time per operation is **O(α(n))** where **α(n)** is the /// inverse of **f(x) = A(x, x)** with **A** being the extremely fast-growing Ackermann function.” #[derive(Debug, Clone)] pub struct UnionFind<K> { // For element at index *i*, store the index of its parent; the representative itself // stores its own index. This forms equivalence classes which are the disjoint sets, each // with a unique representative. parent: Vec<K>, // It is a balancing tree structure, // so the ranks are logarithmic in the size of the container -- a byte is more than enough. // // Rank is separated out both to save space and to save cache in when searching in the parent // vector. rank: Vec<u8>, } #[inline] unsafe fn get_unchecked<K>(xs: &[K], index: usize) -> &K { debug_assert!(index < xs.len()); xs.get_unchecked(index) } #[inline] unsafe fn get_unchecked_mut<K>(xs: &mut [K], index: usize) -> &mut K { debug_assert!(index < xs.len()); xs.get_unchecked_mut(index) } impl<K> UnionFind<K> where K: IndexType, { /// Create a new `UnionFind` of `n` disjoint sets. pub fn new(n: usize) -> Self { let rank = vec![0; n]; let parent = (0..n).map(K::new).collect::<Vec<K>>(); UnionFind { parent, rank } } /// Return the representative for `x`. /// /// **Panics** if `x` is out of bounds. pub fn find(&self, x: K) -> K { assert!(x.index() < self.parent.len()); unsafe { let mut x = x; loop { // Use unchecked indexing because we can trust the internal set ids. let xparent = *get_unchecked(&self.parent, x.index()); if xparent == x { break; } x = xparent; } x } } /// Return the representative for `x`. /// /// Write back the found representative, flattening the internal /// datastructure in the process and quicken future lookups. /// /// **Panics** if `x` is out of bounds. pub fn find_mut(&mut self, x: K) -> K { assert!(x.index() < self.parent.len()); unsafe { self.find_mut_recursive(x) } } unsafe fn find_mut_recursive(&mut self, mut x: K) -> K { let mut parent = *get_unchecked(&self.parent, x.index()); while parent != x { let grandparent = *get_unchecked(&self.parent, parent.index()); *get_unchecked_mut(&mut self.parent, x.index()) = grandparent; x = parent; parent = grandparent; } x } /// Returns `true` if the given elements belong to the same set, and returns /// `false` otherwise. pub fn equiv(&self, x: K, y: K) -> bool { self.find(x) == self.find(y) } /// Unify the two sets containing `x` and `y`. /// /// Return `false` if the sets were already the same, `true` if they were unified. /// /// **Panics** if `x` or `y` is out of bounds. pub fn union(&mut self, x: K, y: K) -> bool { if x == y { return false; } let xrep = self.find_mut(x); let yrep = self.find_mut(y); if xrep == yrep { return false; } let xrepu = xrep.index(); let yrepu = yrep.index(); let xrank = self.rank[xrepu]; let yrank = self.rank[yrepu]; // The rank corresponds roughly to the depth of the treeset, so put the // smaller set below the larger match xrank.cmp(&yrank) { Ordering::Less => self.parent[xrepu] = yrep, Ordering::Greater => self.parent[yrepu] = xrep, Ordering::Equal => { self.parent[yrepu] = xrep; self.rank[xrepu] += 1; } } true } /// Return a vector mapping each element to its representative. pub fn into_labeling(mut self) -> Vec<K> { // write in the labeling of each element unsafe { for ix in 0..self.parent.len() { let k = *get_unchecked(&self.parent, ix); let xrep = self.find_mut_recursive(k); *self.parent.get_unchecked_mut(ix) = xrep; } } self.parent } } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/util.rs��������������������������������������������������������������������������0000644�0000000�0000000�00000000447�10461020230�0013564�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::iter; pub fn enumerate<I>(iterable: I) -> iter::Enumerate<I::IntoIter> where I: IntoIterator, { iterable.into_iter().enumerate() } pub fn zip<I, J>(i: I, j: J) -> iter::Zip<I::IntoIter, J::IntoIter> where I: IntoIterator, J: IntoIterator, { i.into_iter().zip(j) } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/visit/dfsvisit.rs����������������������������������������������������������������0000644�0000000�0000000�00000022124�10461020230�0015574�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use crate::visit::IntoNeighbors; use crate::visit::{VisitMap, Visitable}; /// Strictly monotonically increasing event time for a depth first search. #[derive(Copy, Clone, Debug, PartialEq, PartialOrd, Eq, Ord, Default, Hash)] pub struct Time(pub usize); /// A depth first search (DFS) visitor event. #[derive(Copy, Clone, Debug)] pub enum DfsEvent<N> { Discover(N, Time), /// An edge of the tree formed by the traversal. TreeEdge(N, N), /// An edge to an already visited node. BackEdge(N, N), /// A cross or forward edge. /// /// For an edge *(u, v)*, if the discover time of *v* is greater than *u*, /// then it is a forward edge, else a cross edge. CrossForwardEdge(N, N), /// All edges from a node have been reported. Finish(N, Time), } /// Return if the expression is a break value, execute the provided statement /// if it is a prune value. macro_rules! try_control { ($e:expr, $p:stmt) => { try_control!($e, $p, ()); }; ($e:expr, $p:stmt, $q:stmt) => { match $e { x => { if x.should_break() { return x; } else if x.should_prune() { $p } else { $q } } } }; } /// Control flow for `depth_first_search` callbacks. #[derive(Copy, Clone, Debug)] pub enum Control<B> { /// Continue the DFS traversal as normal. Continue, /// Prune the current node from the DFS traversal. No more edges from this /// node will be reported to the callback. A `DfsEvent::Finish` for this /// node will still be reported. This can be returned in response to any /// `DfsEvent`, except `Finish`, which will panic. Prune, /// Stop the DFS traversal and return the provided value. Break(B), } impl<B> Control<B> { pub fn breaking() -> Control<()> { Control::Break(()) } /// Get the value in `Control::Break(_)`, if present. pub fn break_value(self) -> Option<B> { match self { Control::Continue | Control::Prune => None, Control::Break(b) => Some(b), } } } /// Control flow for callbacks. /// /// The empty return value `()` is equivalent to continue. pub trait ControlFlow { fn continuing() -> Self; fn should_break(&self) -> bool; fn should_prune(&self) -> bool; } impl ControlFlow for () { fn continuing() {} #[inline] fn should_break(&self) -> bool { false } #[inline] fn should_prune(&self) -> bool { false } } impl<B> ControlFlow for Control<B> { fn continuing() -> Self { Control::Continue } fn should_break(&self) -> bool { if let Control::Break(_) = *self { true } else { false } } fn should_prune(&self) -> bool { match *self { Control::Prune => true, Control::Continue | Control::Break(_) => false, } } } impl<C: ControlFlow, E> ControlFlow for Result<C, E> { fn continuing() -> Self { Ok(C::continuing()) } fn should_break(&self) -> bool { if let Ok(ref c) = *self { c.should_break() } else { true } } fn should_prune(&self) -> bool { if let Ok(ref c) = *self { c.should_prune() } else { false } } } /// The default is `Continue`. impl<B> Default for Control<B> { fn default() -> Self { Control::Continue } } /// A recursive depth first search. /// /// Starting points are the nodes in the iterator `starts` (specify just one /// start vertex *x* by using `Some(x)`). /// /// The traversal emits discovery and finish events for each reachable vertex, /// and edge classification of each reachable edge. `visitor` is called for each /// event, see [`DfsEvent`][de] for possible values. /// /// The return value should implement the trait `ControlFlow`, and can be used to change /// the control flow of the search. /// /// `Control` Implements `ControlFlow` such that `Control::Continue` resumes the search. /// `Control::Break` will stop the visit early, returning the contained value. /// `Control::Prune` will stop traversing any additional edges from the current /// node and proceed immediately to the `Finish` event. /// /// There are implementations of `ControlFlow` for `()`, and `Result<C, E>` where /// `C: ControlFlow`. The implementation for `()` will continue until finished. /// For `Result`, upon encountering an `E` it will break, otherwise acting the same as `C`. /// /// ***Panics** if you attempt to prune a node from its `Finish` event. /// /// [de]: enum.DfsEvent.html /// /// # Example returning `Control`. /// /// Find a path from vertex 0 to 5, and exit the visit as soon as we reach /// the goal vertex. /// /// ``` /// use petgraph::prelude::*; /// use petgraph::graph::node_index as n; /// use petgraph::visit::depth_first_search; /// use petgraph::visit::{DfsEvent, Control}; /// /// let gr: Graph<(), ()> = Graph::from_edges(&[ /// (0, 1), (0, 2), (0, 3), /// (1, 3), /// (2, 3), (2, 4), /// (4, 0), (4, 5), /// ]); /// /// // record each predecessor, mapping node → node /// let mut predecessor = vec![NodeIndex::end(); gr.node_count()]; /// let start = n(0); /// let goal = n(5); /// depth_first_search(&gr, Some(start), |event| { /// if let DfsEvent::TreeEdge(u, v) = event { /// predecessor[v.index()] = u; /// if v == goal { /// return Control::Break(v); /// } /// } /// Control::Continue /// }); /// /// let mut next = goal; /// let mut path = vec![next]; /// while next != start { /// let pred = predecessor[next.index()]; /// path.push(pred); /// next = pred; /// } /// path.reverse(); /// assert_eq!(&path, &[n(0), n(2), n(4), n(5)]); /// ``` /// /// # Example returning a `Result`. /// ``` /// use petgraph::graph::node_index as n; /// use petgraph::prelude::*; /// use petgraph::visit::depth_first_search; /// use petgraph::visit::{DfsEvent, Time}; /// /// let gr: Graph<(), ()> = Graph::from_edges(&[(0, 1), (1, 2), (1, 1), (2, 1)]); /// let start = n(0); /// let mut back_edges = 0; /// let mut discover_time = 0; /// // Stop the search, the first time a BackEdge is encountered. /// let result = depth_first_search(&gr, Some(start), |event| { /// match event { /// // In the cases where Ok(()) is returned, /// // Result falls back to the implementation of Control on the value (). /// // In the case of (), this is to always return Control::Continue. /// // continuing the search. /// DfsEvent::Discover(_, Time(t)) => { /// discover_time = t; /// Ok(()) /// } /// DfsEvent::BackEdge(_, _) => { /// back_edges += 1; /// // the implementation of ControlFlow for Result, /// // treats this Err value as Continue::Break /// Err(event) /// } /// _ => Ok(()), /// } /// }); /// /// // Even though the graph has more than one cycle, /// // The number of back_edges visited by the search should always be 1. /// assert_eq!(back_edges, 1); /// println!("discover time:{:?}", discover_time); /// println!("number of backedges encountered: {}", back_edges); /// println!("back edge: {:?}", result); /// ``` pub fn depth_first_search<G, I, F, C>(graph: G, starts: I, mut visitor: F) -> C where G: IntoNeighbors + Visitable, I: IntoIterator<Item = G::NodeId>, F: FnMut(DfsEvent<G::NodeId>) -> C, C: ControlFlow, { let time = &mut Time(0); let discovered = &mut graph.visit_map(); let finished = &mut graph.visit_map(); for start in starts { try_control!( dfs_visitor(graph, start, &mut visitor, discovered, finished, time), unreachable!() ); } C::continuing() } fn dfs_visitor<G, F, C>( graph: G, u: G::NodeId, visitor: &mut F, discovered: &mut G::Map, finished: &mut G::Map, time: &mut Time, ) -> C where G: IntoNeighbors + Visitable, F: FnMut(DfsEvent<G::NodeId>) -> C, C: ControlFlow, { if !discovered.visit(u) { return C::continuing(); } try_control!( visitor(DfsEvent::Discover(u, time_post_inc(time))), {}, for v in graph.neighbors(u) { if !discovered.is_visited(&v) { try_control!(visitor(DfsEvent::TreeEdge(u, v)), continue); try_control!( dfs_visitor(graph, v, visitor, discovered, finished, time), unreachable!() ); } else if !finished.is_visited(&v) { try_control!(visitor(DfsEvent::BackEdge(u, v)), continue); } else { try_control!(visitor(DfsEvent::CrossForwardEdge(u, v)), continue); } } ); let first_finish = finished.visit(u); debug_assert!(first_finish); try_control!( visitor(DfsEvent::Finish(u, time_post_inc(time))), panic!("Pruning on the `DfsEvent::Finish` is not supported!") ); C::continuing() } fn time_post_inc(x: &mut Time) -> Time { let v = *x; x.0 += 1; v } ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/visit/filter.rs������������������������������������������������������������������0000644�0000000�0000000�00000035613�10461020230�0015235�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use crate::prelude::*; use fixedbitset::FixedBitSet; use std::collections::HashSet; use std::marker::PhantomData; use crate::data::DataMap; use crate::visit::{Data, NodeCompactIndexable, NodeCount}; use crate::visit::{ EdgeIndexable, GraphBase, GraphProp, IntoEdgeReferences, IntoEdges, IntoEdgesDirected, IntoNeighbors, IntoNeighborsDirected, IntoNodeIdentifiers, IntoNodeReferences, NodeIndexable, NodeRef, VisitMap, Visitable, }; /// A graph filter for nodes. pub trait FilterNode<N> { /// Return true to have the node be part of the graph fn include_node(&self, node: N) -> bool; } impl<F, N> FilterNode<N> for F where F: Fn(N) -> bool, { fn include_node(&self, n: N) -> bool { (*self)(n) } } /// This filter includes the nodes that are contained in the set. impl<N> FilterNode<N> for FixedBitSet where FixedBitSet: VisitMap<N>, { fn include_node(&self, n: N) -> bool { self.is_visited(&n) } } /// This filter includes the nodes that are contained in the set. impl<N, S> FilterNode<N> for HashSet<N, S> where HashSet<N, S>: VisitMap<N>, { fn include_node(&self, n: N) -> bool { self.is_visited(&n) } } // Can't express these as a generic impl over all references since that would conflict with the // impl for Fn. impl<N> FilterNode<N> for &FixedBitSet where FixedBitSet: VisitMap<N>, { fn include_node(&self, n: N) -> bool { self.is_visited(&n) } } impl<N, S> FilterNode<N> for &HashSet<N, S> where HashSet<N, S>: VisitMap<N>, { fn include_node(&self, n: N) -> bool { self.is_visited(&n) } } /// A node-filtering graph adaptor. #[derive(Copy, Clone, Debug)] pub struct NodeFiltered<G, F>(pub G, pub F); impl<F, G> NodeFiltered<G, F> where G: GraphBase, F: Fn(G::NodeId) -> bool, { /// Create an `NodeFiltered` adaptor from the closure `filter`. pub fn from_fn(graph: G, filter: F) -> Self { NodeFiltered(graph, filter) } } impl<G, F> GraphBase for NodeFiltered<G, F> where G: GraphBase, { type NodeId = G::NodeId; type EdgeId = G::EdgeId; } impl<'a, G, F> IntoNeighbors for &'a NodeFiltered<G, F> where G: IntoNeighbors, F: FilterNode<G::NodeId>, { type Neighbors = NodeFilteredNeighbors<'a, G::Neighbors, F>; fn neighbors(self, n: G::NodeId) -> Self::Neighbors { NodeFilteredNeighbors { include_source: self.1.include_node(n), iter: self.0.neighbors(n), f: &self.1, } } } /// A filtered neighbors iterator. #[derive(Debug, Clone)] pub struct NodeFilteredNeighbors<'a, I, F: 'a> { include_source: bool, iter: I, f: &'a F, } impl<'a, I, F> Iterator for NodeFilteredNeighbors<'a, I, F> where I: Iterator, I::Item: Copy, F: FilterNode<I::Item>, { type Item = I::Item; fn next(&mut self) -> Option<Self::Item> { let f = self.f; if !self.include_source { None } else { self.iter.find(move |&target| f.include_node(target)) } } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<'a, G, F> IntoNeighborsDirected for &'a NodeFiltered<G, F> where G: IntoNeighborsDirected, F: FilterNode<G::NodeId>, { type NeighborsDirected = NodeFilteredNeighbors<'a, G::NeighborsDirected, F>; fn neighbors_directed(self, n: G::NodeId, dir: Direction) -> Self::NeighborsDirected { NodeFilteredNeighbors { include_source: self.1.include_node(n), iter: self.0.neighbors_directed(n, dir), f: &self.1, } } } impl<'a, G, F> IntoNodeIdentifiers for &'a NodeFiltered<G, F> where G: IntoNodeIdentifiers, F: FilterNode<G::NodeId>, { type NodeIdentifiers = NodeFilteredNeighbors<'a, G::NodeIdentifiers, F>; fn node_identifiers(self) -> Self::NodeIdentifiers { NodeFilteredNeighbors { include_source: true, iter: self.0.node_identifiers(), f: &self.1, } } } impl<'a, G, F> IntoNodeReferences for &'a NodeFiltered<G, F> where G: IntoNodeReferences, F: FilterNode<G::NodeId>, { type NodeRef = G::NodeRef; type NodeReferences = NodeFilteredNodes<'a, G::NodeReferences, F>; fn node_references(self) -> Self::NodeReferences { NodeFilteredNodes { include_source: true, iter: self.0.node_references(), f: &self.1, } } } /// A filtered node references iterator. #[derive(Debug, Clone)] pub struct NodeFilteredNodes<'a, I, F: 'a> { include_source: bool, iter: I, f: &'a F, } impl<'a, I, F> Iterator for NodeFilteredNodes<'a, I, F> where I: Iterator, I::Item: Copy + NodeRef, F: FilterNode<<I::Item as NodeRef>::NodeId>, { type Item = I::Item; fn next(&mut self) -> Option<Self::Item> { let f = self.f; if !self.include_source { None } else { self.iter.find(move |&target| f.include_node(target.id())) } } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<'a, G, F> IntoEdgeReferences for &'a NodeFiltered<G, F> where G: IntoEdgeReferences, F: FilterNode<G::NodeId>, { type EdgeRef = G::EdgeRef; type EdgeReferences = NodeFilteredEdgeReferences<'a, G, G::EdgeReferences, F>; fn edge_references(self) -> Self::EdgeReferences { NodeFilteredEdgeReferences { graph: PhantomData, iter: self.0.edge_references(), f: &self.1, } } } /// A filtered edges iterator. #[derive(Debug, Clone)] pub struct NodeFilteredEdgeReferences<'a, G, I, F: 'a> { graph: PhantomData<G>, iter: I, f: &'a F, } impl<'a, G, I, F> Iterator for NodeFilteredEdgeReferences<'a, G, I, F> where F: FilterNode<G::NodeId>, G: IntoEdgeReferences, I: Iterator<Item = G::EdgeRef>, { type Item = I::Item; fn next(&mut self) -> Option<Self::Item> { let f = self.f; self.iter .find(move |&edge| f.include_node(edge.source()) && f.include_node(edge.target())) } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<'a, G, F> IntoEdges for &'a NodeFiltered<G, F> where G: IntoEdges, F: FilterNode<G::NodeId>, { type Edges = NodeFilteredEdges<'a, G, G::Edges, F>; fn edges(self, a: G::NodeId) -> Self::Edges { NodeFilteredEdges { graph: PhantomData, include_source: self.1.include_node(a), iter: self.0.edges(a), f: &self.1, dir: Direction::Outgoing, } } } impl<'a, G, F> IntoEdgesDirected for &'a NodeFiltered<G, F> where G: IntoEdgesDirected, F: FilterNode<G::NodeId>, { type EdgesDirected = NodeFilteredEdges<'a, G, G::EdgesDirected, F>; fn edges_directed(self, a: G::NodeId, dir: Direction) -> Self::EdgesDirected { NodeFilteredEdges { graph: PhantomData, include_source: self.1.include_node(a), iter: self.0.edges_directed(a, dir), f: &self.1, dir, } } } /// A filtered edges iterator. #[derive(Debug, Clone)] pub struct NodeFilteredEdges<'a, G, I, F: 'a> { graph: PhantomData<G>, include_source: bool, iter: I, f: &'a F, dir: Direction, } impl<'a, G, I, F> Iterator for NodeFilteredEdges<'a, G, I, F> where F: FilterNode<G::NodeId>, G: IntoEdges, I: Iterator<Item = G::EdgeRef>, { type Item = I::Item; fn next(&mut self) -> Option<Self::Item> { if !self.include_source { None } else { let dir = self.dir; let f = self.f; self.iter.find(move |&edge| { f.include_node(match dir { Direction::Outgoing => edge.target(), Direction::Incoming => edge.source(), }) }) } } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<G, F> DataMap for NodeFiltered<G, F> where G: DataMap, F: FilterNode<G::NodeId>, { fn node_weight(&self, id: Self::NodeId) -> Option<&Self::NodeWeight> { if self.1.include_node(id) { self.0.node_weight(id) } else { None } } fn edge_weight(&self, id: Self::EdgeId) -> Option<&Self::EdgeWeight> { self.0.edge_weight(id) } } macro_rules! access0 { ($e:expr) => { $e.0 }; } Data! {delegate_impl [[G, F], G, NodeFiltered<G, F>, access0]} NodeIndexable! {delegate_impl [[G, F], G, NodeFiltered<G, F>, access0]} EdgeIndexable! {delegate_impl [[G, F], G, NodeFiltered<G, F>, access0]} GraphProp! {delegate_impl [[G, F], G, NodeFiltered<G, F>, access0]} Visitable! {delegate_impl [[G, F], G, NodeFiltered<G, F>, access0]} /// A graph filter for edges pub trait FilterEdge<Edge> { /// Return true to have the edge be part of the graph fn include_edge(&self, edge: Edge) -> bool; } impl<F, N> FilterEdge<N> for F where F: Fn(N) -> bool, { fn include_edge(&self, n: N) -> bool { (*self)(n) } } /// An edge-filtering graph adaptor. /// /// The adaptor may filter out edges. The filter implements the trait /// `FilterEdge`. Closures of type `Fn(G::EdgeRef) -> bool` already /// implement this trait. /// /// The filter may use edge source, target, id, and weight to select whether to /// include the edge or not. #[derive(Copy, Clone, Debug)] pub struct EdgeFiltered<G, F>(pub G, pub F); impl<F, G> EdgeFiltered<G, F> where G: IntoEdgeReferences, F: Fn(G::EdgeRef) -> bool, { /// Create an `EdgeFiltered` adaptor from the closure `filter`. pub fn from_fn(graph: G, filter: F) -> Self { EdgeFiltered(graph, filter) } } impl<G, F> GraphBase for EdgeFiltered<G, F> where G: GraphBase, { type NodeId = G::NodeId; type EdgeId = G::EdgeId; } impl<'a, G, F> IntoNeighbors for &'a EdgeFiltered<G, F> where G: IntoEdges, F: FilterEdge<G::EdgeRef>, { type Neighbors = EdgeFilteredNeighbors<'a, G, F>; fn neighbors(self, n: G::NodeId) -> Self::Neighbors { EdgeFilteredNeighbors { iter: self.0.edges(n), f: &self.1, } } } impl<'a, G, F> IntoNeighborsDirected for &'a EdgeFiltered<G, F> where G: IntoEdgesDirected, F: FilterEdge<G::EdgeRef>, { type NeighborsDirected = EdgeFilteredNeighborsDirected<'a, G, F>; fn neighbors_directed(self, n: G::NodeId, dir: Direction) -> Self::NeighborsDirected { EdgeFilteredNeighborsDirected { iter: self.0.edges_directed(n, dir), f: &self.1, from: n, } } } /// A filtered neighbors iterator. #[derive(Debug, Clone)] pub struct EdgeFilteredNeighbors<'a, G, F: 'a> where G: IntoEdges, { iter: G::Edges, f: &'a F, } impl<'a, G, F> Iterator for EdgeFilteredNeighbors<'a, G, F> where F: FilterEdge<G::EdgeRef>, G: IntoEdges, { type Item = G::NodeId; fn next(&mut self) -> Option<Self::Item> { let f = self.f; (&mut self.iter) .filter_map(move |edge| { if f.include_edge(edge) { Some(edge.target()) } else { None } }) .next() } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } impl<'a, G, F> IntoEdgeReferences for &'a EdgeFiltered<G, F> where G: IntoEdgeReferences, F: FilterEdge<G::EdgeRef>, { type EdgeRef = G::EdgeRef; type EdgeReferences = EdgeFilteredEdges<'a, G, G::EdgeReferences, F>; fn edge_references(self) -> Self::EdgeReferences { EdgeFilteredEdges { graph: PhantomData, iter: self.0.edge_references(), f: &self.1, } } } impl<'a, G, F> IntoEdges for &'a EdgeFiltered<G, F> where G: IntoEdges, F: FilterEdge<G::EdgeRef>, { type Edges = EdgeFilteredEdges<'a, G, G::Edges, F>; fn edges(self, n: G::NodeId) -> Self::Edges { EdgeFilteredEdges { graph: PhantomData, iter: self.0.edges(n), f: &self.1, } } } impl<'a, G, F> IntoEdgesDirected for &'a EdgeFiltered<G, F> where G: IntoEdgesDirected, F: FilterEdge<G::EdgeRef>, { type EdgesDirected = EdgeFilteredEdges<'a, G, G::EdgesDirected, F>; fn edges_directed(self, n: G::NodeId, dir: Direction) -> Self::EdgesDirected { EdgeFilteredEdges { graph: PhantomData, iter: self.0.edges_directed(n, dir), f: &self.1, } } } /// A filtered edges iterator. #[derive(Debug, Clone)] pub struct EdgeFilteredEdges<'a, G, I, F: 'a> { graph: PhantomData<G>, iter: I, f: &'a F, } impl<'a, G, I, F> Iterator for EdgeFilteredEdges<'a, G, I, F> where F: FilterEdge<G::EdgeRef>, G: IntoEdgeReferences, I: Iterator<Item = G::EdgeRef>, { type Item = I::Item; fn next(&mut self) -> Option<Self::Item> { let f = self.f; self.iter.find(move |&edge| f.include_edge(edge)) } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } /// A filtered neighbors-directed iterator. #[derive(Debug, Clone)] pub struct EdgeFilteredNeighborsDirected<'a, G, F: 'a> where G: IntoEdgesDirected, { iter: G::EdgesDirected, f: &'a F, from: G::NodeId, } impl<'a, G, F> Iterator for EdgeFilteredNeighborsDirected<'a, G, F> where F: FilterEdge<G::EdgeRef>, G: IntoEdgesDirected, { type Item = G::NodeId; fn next(&mut self) -> Option<Self::Item> { let f = self.f; let from = self.from; (&mut self.iter) .filter_map(move |edge| { if f.include_edge(edge) { if edge.source() != from { Some(edge.source()) } else { Some(edge.target()) // includes case where from == source == target } } else { None } }) .next() } fn size_hint(&self) -> (usize, Option<usize>) { let (_, upper) = self.iter.size_hint(); (0, upper) } } Data! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} GraphProp! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} IntoNodeIdentifiers! {delegate_impl [['a, G, F], G, &'a EdgeFiltered<G, F>, access0]} IntoNodeReferences! {delegate_impl [['a, G, F], G, &'a EdgeFiltered<G, F>, access0]} NodeCompactIndexable! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} NodeCount! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} NodeIndexable! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} EdgeIndexable! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} Visitable! {delegate_impl [[G, F], G, EdgeFiltered<G, F>, access0]} ���������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/visit/macros.rs������������������������������������������������������������������0000644�0000000�0000000�00000010033�10461020230�0015221�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������/// Define a trait as usual, and a macro that can be used to instantiate /// implementations of it. /// /// There *must* be section markers in the trait definition: /// @section type for associated types /// @section self for methods /// @section nodelegate for arbitrary tail that is not forwarded. macro_rules! trait_template { ($(#[$doc:meta])* pub trait $name:ident $($methods:tt)*) => { macro_rules! $name { ($m:ident $extra:tt) => { $m! { $extra pub trait $name $($methods)* } } } remove_sections! { [] $(#[$doc])* pub trait $name $($methods)* // This is where the trait definition is reproduced by the macro. // It makes the source links point to this place! // // I'm sorry, you'll have to find the source by looking at the // source of the module the trait is defined in. // // We use this nifty macro so that we can automatically generate // delegation trait impls and implement the graph traits for more // types and combinators. } } } macro_rules! remove_sections_inner { ([$($stack:tt)*]) => { $($stack)* }; // escape the following tt ([$($stack:tt)*] @escape $_x:tt $($t:tt)*) => { remove_sections_inner!([$($stack)*] $($t)*); }; ([$($stack:tt)*] @section $x:ident $($t:tt)*) => { remove_sections_inner!([$($stack)*] $($t)*); }; ([$($stack:tt)*] $t:tt $($tail:tt)*) => { remove_sections_inner!([$($stack)* $t] $($tail)*); }; } // This is the outer layer, just find the { } of the actual trait definition // recurse once into { }, but not more. macro_rules! remove_sections { ([$($stack:tt)*]) => { $($stack)* }; ([$($stack:tt)*] { $($tail:tt)* }) => { $($stack)* { remove_sections_inner!([] $($tail)*); } }; ([$($stack:tt)*] $t:tt $($tail:tt)*) => { remove_sections!([$($stack)* $t] $($tail)*); }; } macro_rules! deref { ($e:expr) => { *$e }; } macro_rules! deref_twice { ($e:expr) => { **$e }; } /// Implement a trait by delegation. By default as if we are delegating /// from &G to G. macro_rules! delegate_impl { ([] $($rest:tt)*) => { delegate_impl! { [['a, G], G, &'a G, deref] $($rest)* } }; ([[$($param:tt)*], $self_type:ident, $self_wrap:ty, $self_map:ident] pub trait $name:ident $(: $sup:ident)* $(+ $more_sup:ident)* { // "Escaped" associated types. Stripped before making the `trait` // itself, but forwarded when delegating impls. $( @escape [type $assoc_name_ext:ident] // Associated types. Forwarded. )* $( @section type $( $(#[$_assoc_attr:meta])* type $assoc_name:ident $(: $assoc_bound:ty)*; )+ )* // Methods. Forwarded. Using $self_map!(self) around the self argument. // Methods must use receiver `self` or explicit type like `self: &Self` // &self and &mut self are _not_ supported. $( @section self $( $(#[$_method_attr:meta])* fn $method_name:ident(self $(: $self_selftype:ty)* $(,$marg:ident : $marg_ty:ty)*) $(-> $mret:ty)?; )+ )* // Arbitrary tail that is ignored when forwarding. $( @section nodelegate $($tail:tt)* )* }) => { impl<$($param)*> $name for $self_wrap where $self_type: $name { $( $( type $assoc_name = $self_type::$assoc_name; )* )* $( type $assoc_name_ext = $self_type::$assoc_name_ext; )* $( $( fn $method_name(self $(: $self_selftype)* $(,$marg: $marg_ty)*) $(-> $mret)? { $self_map!(self).$method_name($($marg),*) } )* )* } } } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/visit/mod.rs���������������������������������������������������������������������0000644�0000000�0000000�00000034471�10461020230�0014530�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������//! Graph traits and graph traversals. //! //! ### The `Into-` Traits //! //! Graph traits like [`IntoNeighbors`][in] create iterators and use the same //! pattern that `IntoIterator` does: the trait takes a reference to a graph, //! and produces an iterator. These traits are quite composable, but with the //! limitation that they only use shared references to graphs. //! //! ### Graph Traversal //! //! [`Dfs`](struct.Dfs.html), [`Bfs`][bfs], [`DfsPostOrder`][dfspo] and //! [`Topo`][topo] are basic visitors and they use “walker” methods: the //! visitors don't hold the graph as borrowed during traversal, only for the //! `.next()` call on the walker. They can be converted to iterators //! through the [`Walker`][w] trait. //! //! There is also the callback based traversal [`depth_first_search`][dfs]. //! //! [bfs]: struct.Bfs.html //! [dfspo]: struct.DfsPostOrder.html //! [topo]: struct.Topo.html //! [dfs]: fn.depth_first_search.html //! [w]: trait.Walker.html //! //! ### Other Graph Traits //! //! The traits are rather loosely coupled at the moment (which is intentional, //! but will develop a bit), and there are traits missing that could be added. //! //! Not much is needed to be able to use the visitors on a graph. A graph //! needs to define [`GraphBase`][gb], [`IntoNeighbors`][in] and //! [`Visitable`][vis] as a minimum. //! //! [gb]: trait.GraphBase.html //! [in]: trait.IntoNeighbors.html //! [vis]: trait.Visitable.html //! //! ### Graph Trait Implementations //! //! The following table lists the traits that are implemented for each graph type: //! //! | | Graph | StableGraph | GraphMap | MatrixGraph | Csr | List | //! | --------------------- | :---: | :---------: | :------: | :---------: | :---: | :---: | //! | GraphBase | x | x | x | x | x | x | //! | GraphProp | x | x | x | x | x | x | //! | NodeCount | x | x | x | x | x | x | //! | NodeIndexable | x | x | x | x | x | x | //! | NodeCompactIndexable | x | | x | | x | x | //! | EdgeCount | x | x | x | x | x | x | //! | EdgeIndexable | x | x | x | | | | //! | Data | x | x | x | x | x | x | //! | IntoNodeIdentifiers | x | x | x | x | x | x | //! | IntoNodeReferences | x | x | x | x | x | x | //! | IntoEdgeReferences | x | x | x | x | x | x | //! | IntoNeighbors | x | x | x | x | x | x | //! | IntoNeighborsDirected | x | x | x | x | | | //! | IntoEdges | x | x | x | x | x | x | //! | IntoEdgesDirected | x | x | x | x | | | //! | Visitable | x | x | x | x | x | x | //! | GetAdjacencyMatrix | x | x | x | x | x | x | // filter, reversed have their `mod` lines at the end, // so that they can use the trait template macros pub use self::filter::*; pub use self::reversed::*; #[macro_use] mod macros; mod dfsvisit; mod traversal; pub use self::dfsvisit::*; pub use self::traversal::*; use fixedbitset::FixedBitSet; use std::collections::HashSet; use std::hash::{BuildHasher, Hash}; use super::EdgeType; use crate::prelude::Direction; use crate::graph::IndexType; trait_template! { /// Base graph trait: defines the associated node identifier and /// edge identifier types. pub trait GraphBase { // FIXME: We can drop this escape/nodelegate stuff in Rust 1.18 @escape [type NodeId] @escape [type EdgeId] @section nodelegate /// edge identifier type EdgeId: Copy + PartialEq; /// node identifier type NodeId: Copy + PartialEq; } } GraphBase! {delegate_impl []} GraphBase! {delegate_impl [['a, G], G, &'a mut G, deref]} /// A copyable reference to a graph. pub trait GraphRef: Copy + GraphBase {} impl<'a, G> GraphRef for &'a G where G: GraphBase {} trait_template! { /// Access to the neighbors of each node /// /// The neighbors are, depending on the graph’s edge type: /// /// - `Directed`: All targets of edges from `a`. /// - `Undirected`: All other endpoints of edges connected to `a`. pub trait IntoNeighbors : GraphRef { @section type type Neighbors: Iterator<Item=Self::NodeId>; @section self /// Return an iterator of the neighbors of node `a`. fn neighbors(self, a: Self::NodeId) -> Self::Neighbors; } } IntoNeighbors! {delegate_impl []} trait_template! { /// Access to the neighbors of each node, through incoming or outgoing edges. /// /// Depending on the graph’s edge type, the neighbors of a given directionality /// are: /// /// - `Directed`, `Outgoing`: All targets of edges from `a`. /// - `Directed`, `Incoming`: All sources of edges to `a`. /// - `Undirected`: All other endpoints of edges connected to `a`. pub trait IntoNeighborsDirected : IntoNeighbors { @section type type NeighborsDirected: Iterator<Item=Self::NodeId>; @section self fn neighbors_directed(self, n: Self::NodeId, d: Direction) -> Self::NeighborsDirected; } } trait_template! { /// Access to the edges of each node. /// /// The edges are, depending on the graph’s edge type: /// /// - `Directed`: All edges from `a`. /// - `Undirected`: All edges connected to `a`, with `a` being the source of each edge. /// /// This is an extended version of the trait `IntoNeighbors`; the former /// only iterates over the target node identifiers, while this trait /// yields edge references (trait [`EdgeRef`][er]). /// /// [er]: trait.EdgeRef.html pub trait IntoEdges : IntoEdgeReferences + IntoNeighbors { @section type type Edges: Iterator<Item=Self::EdgeRef>; @section self fn edges(self, a: Self::NodeId) -> Self::Edges; } } IntoEdges! {delegate_impl []} trait_template! { /// Access to all edges of each node, in the specified direction. /// /// The edges are, depending on the direction and the graph’s edge type: /// /// /// - `Directed`, `Outgoing`: All edges from `a`. /// - `Directed`, `Incoming`: All edges to `a`. /// - `Undirected`, `Outgoing`: All edges connected to `a`, with `a` being the source of each edge. /// - `Undirected`, `Incoming`: All edges connected to `a`, with `a` being the target of each edge. /// /// This is an extended version of the trait `IntoNeighborsDirected`; the former /// only iterates over the target node identifiers, while this trait /// yields edge references (trait [`EdgeRef`][er]). /// /// [er]: trait.EdgeRef.html pub trait IntoEdgesDirected : IntoEdges + IntoNeighborsDirected { @section type type EdgesDirected: Iterator<Item=Self::EdgeRef>; @section self fn edges_directed(self, a: Self::NodeId, dir: Direction) -> Self::EdgesDirected; } } IntoEdgesDirected! {delegate_impl []} trait_template! { /// Access to the sequence of the graph’s `NodeId`s. pub trait IntoNodeIdentifiers : GraphRef { @section type type NodeIdentifiers: Iterator<Item=Self::NodeId>; @section self fn node_identifiers(self) -> Self::NodeIdentifiers; } } IntoNodeIdentifiers! {delegate_impl []} IntoNeighborsDirected! {delegate_impl []} trait_template! { /// Define associated data for nodes and edges pub trait Data : GraphBase { @section type type NodeWeight; type EdgeWeight; } } Data! {delegate_impl []} Data! {delegate_impl [['a, G], G, &'a mut G, deref]} /// An edge reference. /// /// Edge references are used by traits `IntoEdges` and `IntoEdgeReferences`. pub trait EdgeRef: Copy { type NodeId; type EdgeId; type Weight; /// The source node of the edge. fn source(&self) -> Self::NodeId; /// The target node of the edge. fn target(&self) -> Self::NodeId; /// A reference to the weight of the edge. fn weight(&self) -> &Self::Weight; /// The edge’s identifier. fn id(&self) -> Self::EdgeId; } impl<'a, N, E> EdgeRef for (N, N, &'a E) where N: Copy, { type NodeId = N; type EdgeId = (N, N); type Weight = E; fn source(&self) -> N { self.0 } fn target(&self) -> N { self.1 } fn weight(&self) -> &E { self.2 } fn id(&self) -> (N, N) { (self.0, self.1) } } /// A node reference. pub trait NodeRef: Copy { type NodeId; type Weight; fn id(&self) -> Self::NodeId; fn weight(&self) -> &Self::Weight; } trait_template! { /// Access to the sequence of the graph’s nodes pub trait IntoNodeReferences : Data + IntoNodeIdentifiers { @section type type NodeRef: NodeRef<NodeId=Self::NodeId, Weight=Self::NodeWeight>; type NodeReferences: Iterator<Item=Self::NodeRef>; @section self fn node_references(self) -> Self::NodeReferences; } } IntoNodeReferences! {delegate_impl []} impl<Id> NodeRef for (Id, ()) where Id: Copy, { type NodeId = Id; type Weight = (); fn id(&self) -> Self::NodeId { self.0 } fn weight(&self) -> &Self::Weight { static DUMMY: () = (); &DUMMY } } impl<'a, Id, W> NodeRef for (Id, &'a W) where Id: Copy, { type NodeId = Id; type Weight = W; fn id(&self) -> Self::NodeId { self.0 } fn weight(&self) -> &Self::Weight { self.1 } } trait_template! { /// Access to the sequence of the graph’s edges pub trait IntoEdgeReferences : Data + GraphRef { @section type type EdgeRef: EdgeRef<NodeId=Self::NodeId, EdgeId=Self::EdgeId, Weight=Self::EdgeWeight>; type EdgeReferences: Iterator<Item=Self::EdgeRef>; @section self fn edge_references(self) -> Self::EdgeReferences; } } IntoEdgeReferences! {delegate_impl [] } trait_template! { /// Edge kind property (directed or undirected edges) pub trait GraphProp : GraphBase { @section type /// The kind of edges in the graph. type EdgeType: EdgeType; @section nodelegate fn is_directed(&self) -> bool { <Self::EdgeType>::is_directed() } } } GraphProp! {delegate_impl []} trait_template! { /// The graph’s `NodeId`s map to indices #[allow(clippy::needless_arbitrary_self_type)] pub trait NodeIndexable : GraphBase { @section self /// Return an upper bound of the node indices in the graph /// (suitable for the size of a bitmap). fn node_bound(self: &Self) -> usize; /// Convert `a` to an integer index. fn to_index(self: &Self, a: Self::NodeId) -> usize; /// Convert `i` to a node index. `i` must be a valid value in the graph. fn from_index(self: &Self, i: usize) -> Self::NodeId; } } NodeIndexable! {delegate_impl []} trait_template! { /// The graph’s `NodeId`s map to indices #[allow(clippy::needless_arbitrary_self_type)] pub trait EdgeIndexable : GraphBase { @section self /// Return an upper bound of the edge indices in the graph /// (suitable for the size of a bitmap). fn edge_bound(self: &Self) -> usize; /// Convert `a` to an integer index. fn to_index(self: &Self, a: Self::EdgeId) -> usize; /// Convert `i` to an edge index. `i` must be a valid value in the graph. fn from_index(self: &Self, i: usize) -> Self::EdgeId; } } EdgeIndexable! {delegate_impl []} trait_template! { /// A graph with a known node count. #[allow(clippy::needless_arbitrary_self_type)] pub trait NodeCount : GraphBase { @section self fn node_count(self: &Self) -> usize; } } NodeCount! {delegate_impl []} trait_template! { /// The graph’s `NodeId`s map to indices, in a range without holes. /// /// The graph's node identifiers correspond to exactly the indices /// `0..self.node_bound()`. pub trait NodeCompactIndexable : NodeIndexable + NodeCount { } } NodeCompactIndexable! {delegate_impl []} /// A mapping for storing the visited status for NodeId `N`. pub trait VisitMap<N> { /// Mark `a` as visited. /// /// Return **true** if this is the first visit, false otherwise. fn visit(&mut self, a: N) -> bool; /// Return whether `a` has been visited before. fn is_visited(&self, a: &N) -> bool; } impl<Ix> VisitMap<Ix> for FixedBitSet where Ix: IndexType, { fn visit(&mut self, x: Ix) -> bool { !self.put(x.index()) } fn is_visited(&self, x: &Ix) -> bool { self.contains(x.index()) } } impl<N, S> VisitMap<N> for HashSet<N, S> where N: Hash + Eq, S: BuildHasher, { fn visit(&mut self, x: N) -> bool { self.insert(x) } fn is_visited(&self, x: &N) -> bool { self.contains(x) } } trait_template! { /// A graph that can create a map that tracks the visited status of its nodes. #[allow(clippy::needless_arbitrary_self_type)] pub trait Visitable : GraphBase { @section type /// The associated map type type Map: VisitMap<Self::NodeId>; @section self /// Create a new visitor map fn visit_map(self: &Self) -> Self::Map; /// Reset the visitor map (and resize to new size of graph if needed) fn reset_map(self: &Self, map: &mut Self::Map); } } Visitable! {delegate_impl []} trait_template! { /// Create or access the adjacency matrix of a graph. /// /// The implementor can either create an adjacency matrix, or it can return /// a placeholder if it has the needed representation internally. #[allow(clippy::needless_arbitrary_self_type)] pub trait GetAdjacencyMatrix : GraphBase { @section type /// The associated adjacency matrix type type AdjMatrix; @section self /// Create the adjacency matrix fn adjacency_matrix(self: &Self) -> Self::AdjMatrix; /// Return true if there is an edge from `a` to `b`, false otherwise. /// /// Computes in O(1) time. fn is_adjacent(self: &Self, matrix: &Self::AdjMatrix, a: Self::NodeId, b: Self::NodeId) -> bool; } } GetAdjacencyMatrix! {delegate_impl []} trait_template! { /// A graph with a known edge count. #[allow(clippy::needless_arbitrary_self_type)] pub trait EdgeCount : GraphBase { @section self /// Return the number of edges in the graph. fn edge_count(self: &Self) -> usize; } } EdgeCount! {delegate_impl []} mod filter; mod reversed; �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/visit/reversed.rs����������������������������������������������������������������0000644�0000000�0000000�00000011245�10461020230�0015562�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use crate::{Direction, Incoming}; use crate::visit::{ Data, EdgeCount, EdgeIndexable, EdgeRef, GetAdjacencyMatrix, GraphBase, GraphProp, GraphRef, IntoEdgeReferences, IntoEdges, IntoEdgesDirected, IntoNeighbors, IntoNeighborsDirected, IntoNodeIdentifiers, IntoNodeReferences, NodeCompactIndexable, NodeCount, NodeIndexable, Visitable, }; /// An edge-reversing graph adaptor. /// /// All edges have the opposite direction with `Reversed`. #[derive(Copy, Clone, Debug)] pub struct Reversed<G>(pub G); impl<G: GraphBase> GraphBase for Reversed<G> { type NodeId = G::NodeId; type EdgeId = G::EdgeId; } impl<G: GraphRef> GraphRef for Reversed<G> {} Data! {delegate_impl [[G], G, Reversed<G>, access0]} impl<G> IntoNeighbors for Reversed<G> where G: IntoNeighborsDirected, { type Neighbors = G::NeighborsDirected; fn neighbors(self, n: G::NodeId) -> G::NeighborsDirected { self.0.neighbors_directed(n, Incoming) } } impl<G> IntoNeighborsDirected for Reversed<G> where G: IntoNeighborsDirected, { type NeighborsDirected = G::NeighborsDirected; fn neighbors_directed(self, n: G::NodeId, d: Direction) -> G::NeighborsDirected { self.0.neighbors_directed(n, d.opposite()) } } impl<G> IntoEdges for Reversed<G> where G: IntoEdgesDirected, { type Edges = ReversedEdges<G::EdgesDirected>; fn edges(self, a: Self::NodeId) -> Self::Edges { ReversedEdges { iter: self.0.edges_directed(a, Incoming), } } } impl<G> IntoEdgesDirected for Reversed<G> where G: IntoEdgesDirected, { type EdgesDirected = ReversedEdges<G::EdgesDirected>; fn edges_directed(self, a: Self::NodeId, dir: Direction) -> Self::Edges { ReversedEdges { iter: self.0.edges_directed(a, dir.opposite()), } } } impl<G: Visitable> Visitable for Reversed<G> { type Map = G::Map; fn visit_map(&self) -> G::Map { self.0.visit_map() } fn reset_map(&self, map: &mut Self::Map) { self.0.reset_map(map); } } /// A reversed edges iterator. #[derive(Debug, Clone)] pub struct ReversedEdges<I> { iter: I, } impl<I> Iterator for ReversedEdges<I> where I: Iterator, I::Item: EdgeRef, { type Item = ReversedEdgeReference<I::Item>; fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(ReversedEdgeReference) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } /// A reversed edge reference #[derive(Copy, Clone, Debug)] pub struct ReversedEdgeReference<R>(R); impl<R> ReversedEdgeReference<R> { /// Return the original, unreversed edge reference. pub fn as_unreversed(&self) -> &R { &self.0 } /// Consume `self` and return the original, unreversed edge reference. pub fn into_unreversed(self) -> R { self.0 } } /// An edge reference impl<R> EdgeRef for ReversedEdgeReference<R> where R: EdgeRef, { type NodeId = R::NodeId; type EdgeId = R::EdgeId; type Weight = R::Weight; fn source(&self) -> Self::NodeId { self.0.target() } fn target(&self) -> Self::NodeId { self.0.source() } fn weight(&self) -> &Self::Weight { self.0.weight() } fn id(&self) -> Self::EdgeId { self.0.id() } } impl<G> IntoEdgeReferences for Reversed<G> where G: IntoEdgeReferences, { type EdgeRef = ReversedEdgeReference<G::EdgeRef>; type EdgeReferences = ReversedEdgeReferences<G::EdgeReferences>; fn edge_references(self) -> Self::EdgeReferences { ReversedEdgeReferences { iter: self.0.edge_references(), } } } /// A reversed edge references iterator. #[derive(Debug, Clone)] pub struct ReversedEdgeReferences<I> { iter: I, } impl<I> Iterator for ReversedEdgeReferences<I> where I: Iterator, I::Item: EdgeRef, { type Item = ReversedEdgeReference<I::Item>; fn next(&mut self) -> Option<Self::Item> { self.iter.next().map(ReversedEdgeReference) } fn size_hint(&self) -> (usize, Option<usize>) { self.iter.size_hint() } } macro_rules! access0 { ($e:expr) => { $e.0 }; } NodeIndexable! {delegate_impl [[G], G, Reversed<G>, access0]} NodeCompactIndexable! {delegate_impl [[G], G, Reversed<G>, access0]} IntoNodeIdentifiers! {delegate_impl [[G], G, Reversed<G>, access0]} IntoNodeReferences! {delegate_impl [[G], G, Reversed<G>, access0]} GraphProp! {delegate_impl [[G], G, Reversed<G>, access0]} NodeCount! {delegate_impl [[G], G, Reversed<G>, access0]} EdgeCount! {delegate_impl [[G], G, Reversed<G>, access0]} EdgeIndexable! {delegate_impl [[G], G, Reversed<G>, access0]} GetAdjacencyMatrix! {delegate_impl [[G], G, Reversed<G>, access0]} �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/src/visit/traversal.rs���������������������������������������������������������������0000644�0000000�0000000�00000033271�10461020230�0015751�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use super::{GraphRef, IntoNodeIdentifiers, Reversed}; use super::{IntoNeighbors, IntoNeighborsDirected, VisitMap, Visitable}; use crate::Incoming; use std::collections::VecDeque; /// Visit nodes of a graph in a depth-first-search (DFS) emitting nodes in /// preorder (when they are first discovered). /// /// The traversal starts at a given node and only traverses nodes reachable /// from it. /// /// `Dfs` is not recursive. /// /// `Dfs` does not itself borrow the graph, and because of this you can run /// a traversal over a graph while still retaining mutable access to it, if you /// use it like the following example: /// /// ``` /// use petgraph::Graph; /// use petgraph::visit::Dfs; /// /// let mut graph = Graph::<_,()>::new(); /// let a = graph.add_node(0); /// /// let mut dfs = Dfs::new(&graph, a); /// while let Some(nx) = dfs.next(&graph) { /// // we can access `graph` mutably here still /// graph[nx] += 1; /// } /// /// assert_eq!(graph[a], 1); /// ``` /// /// **Note:** The algorithm may not behave correctly if nodes are removed /// during iteration. It may not necessarily visit added nodes or edges. #[derive(Clone, Debug)] pub struct Dfs<N, VM> { /// The stack of nodes to visit pub stack: Vec<N>, /// The map of discovered nodes pub discovered: VM, } impl<N, VM> Default for Dfs<N, VM> where VM: Default, { fn default() -> Self { Dfs { stack: Vec::new(), discovered: VM::default(), } } } impl<N, VM> Dfs<N, VM> where N: Copy + PartialEq, VM: VisitMap<N>, { /// Create a new **Dfs**, using the graph's visitor map, and put **start** /// in the stack of nodes to visit. pub fn new<G>(graph: G, start: N) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { let mut dfs = Dfs::empty(graph); dfs.move_to(start); dfs } /// Create a `Dfs` from a vector and a visit map pub fn from_parts(stack: Vec<N>, discovered: VM) -> Self { Dfs { stack, discovered } } /// Clear the visit state pub fn reset<G>(&mut self, graph: G) where G: GraphRef + Visitable<NodeId = N, Map = VM>, { graph.reset_map(&mut self.discovered); self.stack.clear(); } /// Create a new **Dfs** using the graph's visitor map, and no stack. pub fn empty<G>(graph: G) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { Dfs { stack: Vec::new(), discovered: graph.visit_map(), } } /// Keep the discovered map, but clear the visit stack and restart /// the dfs from a particular node. pub fn move_to(&mut self, start: N) { self.stack.clear(); self.stack.push(start); } /// Return the next node in the dfs, or **None** if the traversal is done. pub fn next<G>(&mut self, graph: G) -> Option<N> where G: IntoNeighbors<NodeId = N>, { while let Some(node) = self.stack.pop() { if self.discovered.visit(node) { for succ in graph.neighbors(node) { if !self.discovered.is_visited(&succ) { self.stack.push(succ); } } return Some(node); } } None } } /// Visit nodes in a depth-first-search (DFS) emitting nodes in postorder /// (each node after all its descendants have been emitted). /// /// `DfsPostOrder` is not recursive. /// /// The traversal starts at a given node and only traverses nodes reachable /// from it. #[derive(Clone, Debug)] pub struct DfsPostOrder<N, VM> { /// The stack of nodes to visit pub stack: Vec<N>, /// The map of discovered nodes pub discovered: VM, /// The map of finished nodes pub finished: VM, } impl<N, VM> Default for DfsPostOrder<N, VM> where VM: Default, { fn default() -> Self { DfsPostOrder { stack: Vec::new(), discovered: VM::default(), finished: VM::default(), } } } impl<N, VM> DfsPostOrder<N, VM> where N: Copy + PartialEq, VM: VisitMap<N>, { /// Create a new `DfsPostOrder` using the graph's visitor map, and put /// `start` in the stack of nodes to visit. pub fn new<G>(graph: G, start: N) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { let mut dfs = Self::empty(graph); dfs.move_to(start); dfs } /// Create a new `DfsPostOrder` using the graph's visitor map, and no stack. pub fn empty<G>(graph: G) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { DfsPostOrder { stack: Vec::new(), discovered: graph.visit_map(), finished: graph.visit_map(), } } /// Clear the visit state pub fn reset<G>(&mut self, graph: G) where G: GraphRef + Visitable<NodeId = N, Map = VM>, { graph.reset_map(&mut self.discovered); graph.reset_map(&mut self.finished); self.stack.clear(); } /// Keep the discovered and finished map, but clear the visit stack and restart /// the dfs from a particular node. pub fn move_to(&mut self, start: N) { self.stack.clear(); self.stack.push(start); } /// Return the next node in the traversal, or `None` if the traversal is done. pub fn next<G>(&mut self, graph: G) -> Option<N> where G: IntoNeighbors<NodeId = N>, { while let Some(&nx) = self.stack.last() { if self.discovered.visit(nx) { // First time visiting `nx`: Push neighbors, don't pop `nx` for succ in graph.neighbors(nx) { if !self.discovered.is_visited(&succ) { self.stack.push(succ); } } } else { self.stack.pop(); if self.finished.visit(nx) { // Second time: All reachable nodes must have been finished return Some(nx); } } } None } } /// A breadth first search (BFS) of a graph. /// /// The traversal starts at a given node and only traverses nodes reachable /// from it. /// /// `Bfs` is not recursive. /// /// `Bfs` does not itself borrow the graph, and because of this you can run /// a traversal over a graph while still retaining mutable access to it, if you /// use it like the following example: /// /// ``` /// use petgraph::Graph; /// use petgraph::visit::Bfs; /// /// let mut graph = Graph::<_,()>::new(); /// let a = graph.add_node(0); /// /// let mut bfs = Bfs::new(&graph, a); /// while let Some(nx) = bfs.next(&graph) { /// // we can access `graph` mutably here still /// graph[nx] += 1; /// } /// /// assert_eq!(graph[a], 1); /// ``` /// /// **Note:** The algorithm may not behave correctly if nodes are removed /// during iteration. It may not necessarily visit added nodes or edges. #[derive(Clone)] pub struct Bfs<N, VM> { /// The queue of nodes to visit pub stack: VecDeque<N>, /// The map of discovered nodes pub discovered: VM, } impl<N, VM> Default for Bfs<N, VM> where VM: Default, { fn default() -> Self { Bfs { stack: VecDeque::new(), discovered: VM::default(), } } } impl<N, VM> Bfs<N, VM> where N: Copy + PartialEq, VM: VisitMap<N>, { /// Create a new **Bfs**, using the graph's visitor map, and put **start** /// in the stack of nodes to visit. pub fn new<G>(graph: G, start: N) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { let mut discovered = graph.visit_map(); discovered.visit(start); let mut stack = VecDeque::new(); stack.push_front(start); Bfs { stack, discovered } } /// Return the next node in the bfs, or **None** if the traversal is done. pub fn next<G>(&mut self, graph: G) -> Option<N> where G: IntoNeighbors<NodeId = N>, { if let Some(node) = self.stack.pop_front() { for succ in graph.neighbors(node) { if self.discovered.visit(succ) { self.stack.push_back(succ); } } return Some(node); } None } } /// A topological order traversal for a graph. /// /// **Note** that `Topo` only visits nodes that are not part of cycles, /// i.e. nodes in a true DAG. Use other visitors like `DfsPostOrder` or /// algorithms like kosaraju_scc to handle graphs with possible cycles. #[derive(Clone)] pub struct Topo<N, VM> { tovisit: Vec<N>, ordered: VM, } impl<N, VM> Default for Topo<N, VM> where VM: Default, { fn default() -> Self { Topo { tovisit: Vec::new(), ordered: VM::default(), } } } impl<N, VM> Topo<N, VM> where N: Copy + PartialEq, VM: VisitMap<N>, { /// Create a new `Topo`, using the graph's visitor map, and put all /// initial nodes in the to visit list. pub fn new<G>(graph: G) -> Self where G: IntoNodeIdentifiers + IntoNeighborsDirected + Visitable<NodeId = N, Map = VM>, { let mut topo = Self::empty(graph); topo.extend_with_initials(graph); topo } fn extend_with_initials<G>(&mut self, g: G) where G: IntoNodeIdentifiers + IntoNeighborsDirected<NodeId = N>, { // find all initial nodes (nodes without incoming edges) self.tovisit.extend( g.node_identifiers() .filter(move |&a| g.neighbors_directed(a, Incoming).next().is_none()), ); } /* Private until it has a use */ /// Create a new `Topo`, using the graph's visitor map with *no* starting /// index specified. fn empty<G>(graph: G) -> Self where G: GraphRef + Visitable<NodeId = N, Map = VM>, { Topo { ordered: graph.visit_map(), tovisit: Vec::new(), } } /// Clear visited state, and put all initial nodes in the to visit list. pub fn reset<G>(&mut self, graph: G) where G: IntoNodeIdentifiers + IntoNeighborsDirected + Visitable<NodeId = N, Map = VM>, { graph.reset_map(&mut self.ordered); self.tovisit.clear(); self.extend_with_initials(graph); } /// Return the next node in the current topological order traversal, or /// `None` if the traversal is at the end. /// /// *Note:* The graph may not have a complete topological order, and the only /// way to know is to run the whole traversal and make sure it visits every node. pub fn next<G>(&mut self, g: G) -> Option<N> where G: IntoNeighborsDirected + Visitable<NodeId = N, Map = VM>, { // Take an unvisited element and find which of its neighbors are next while let Some(nix) = self.tovisit.pop() { if self.ordered.is_visited(&nix) { continue; } self.ordered.visit(nix); for neigh in g.neighbors(nix) { // Look at each neighbor, and those that only have incoming edges // from the already ordered list, they are the next to visit. if Reversed(g) .neighbors(neigh) .all(|b| self.ordered.is_visited(&b)) { self.tovisit.push(neigh); } } return Some(nix); } None } } /// A walker is a traversal state, but where part of the traversal /// information is supplied manually to each next call. /// /// This for example allows graph traversals that don't hold a borrow of the /// graph they are traversing. pub trait Walker<Context> { type Item; /// Advance to the next item fn walk_next(&mut self, context: Context) -> Option<Self::Item>; /// Create an iterator out of the walker and given `context`. fn iter(self, context: Context) -> WalkerIter<Self, Context> where Self: Sized, Context: Clone, { WalkerIter { walker: self, context, } } } /// A walker and its context wrapped into an iterator. #[derive(Clone, Debug)] pub struct WalkerIter<W, C> { walker: W, context: C, } impl<W, C> WalkerIter<W, C> where W: Walker<C>, C: Clone, { pub fn context(&self) -> C { self.context.clone() } pub fn inner_ref(&self) -> &W { &self.walker } pub fn inner_mut(&mut self) -> &mut W { &mut self.walker } } impl<W, C> Iterator for WalkerIter<W, C> where W: Walker<C>, C: Clone, { type Item = W::Item; fn next(&mut self) -> Option<Self::Item> { self.walker.walk_next(self.context.clone()) } } impl<'a, C, W: ?Sized> Walker<C> for &'a mut W where W: Walker<C>, { type Item = W::Item; fn walk_next(&mut self, context: C) -> Option<Self::Item> { (**self).walk_next(context) } } impl<G> Walker<G> for Dfs<G::NodeId, G::Map> where G: IntoNeighbors + Visitable, { type Item = G::NodeId; fn walk_next(&mut self, context: G) -> Option<Self::Item> { self.next(context) } } impl<G> Walker<G> for DfsPostOrder<G::NodeId, G::Map> where G: IntoNeighbors + Visitable, { type Item = G::NodeId; fn walk_next(&mut self, context: G) -> Option<Self::Item> { self.next(context) } } impl<G> Walker<G> for Bfs<G::NodeId, G::Map> where G: IntoNeighbors + Visitable, { type Item = G::NodeId; fn walk_next(&mut self, context: G) -> Option<Self::Item> { self.next(context) } } impl<G> Walker<G> for Topo<G::NodeId, G::Map> where G: IntoNeighborsDirected + Visitable, { type Item = G::NodeId; fn walk_next(&mut self, context: G) -> Option<Self::Item> { self.next(context) } } ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/floyd_warshall.rs��������������������������������������������������������������0000644�0000000�0000000�00000014624�10461020230�0016176�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use petgraph::algo::floyd_warshall; use petgraph::{prelude::*, Directed, Graph, Undirected}; use std::collections::HashMap; #[test] fn floyd_warshall_uniform_weight() { let mut graph: Graph<(), (), Directed> = Graph::new(); let a = graph.add_node(()); let b = graph.add_node(()); let c = graph.add_node(()); let d = graph.add_node(()); let e = graph.add_node(()); let f = graph.add_node(()); let g = graph.add_node(()); let h = graph.add_node(()); graph.extend_with_edges(&[ (a, b), (b, c), (c, d), (d, a), (e, f), (b, e), (f, g), (g, h), (h, e), ]); // a ----> b ----> e ----> f // ^ | ^ | // | v | v // d <---- c h <---- g let inf = std::i32::MAX; let expected_res: HashMap<(NodeIndex, NodeIndex), i32> = [ ((a, a), 0), ((a, b), 1), ((a, c), 2), ((a, d), 3), ((a, e), 2), ((a, f), 3), ((a, g), 4), ((a, h), 5), ((b, a), 3), ((b, b), 0), ((b, c), 1), ((b, d), 2), ((b, e), 1), ((b, f), 2), ((b, g), 3), ((b, h), 4), ((c, a), 2), ((c, b), 3), ((c, c), 0), ((c, d), 1), ((c, e), 4), ((c, f), 5), ((c, g), 6), ((c, h), 7), ((d, a), 1), ((d, b), 2), ((d, c), 3), ((d, d), 0), ((d, e), 3), ((d, f), 4), ((d, g), 5), ((d, h), 6), ((e, a), inf), ((e, b), inf), ((e, c), inf), ((e, d), inf), ((e, e), 0), ((e, f), 1), ((e, g), 2), ((e, h), 3), ((f, a), inf), ((f, b), inf), ((f, c), inf), ((f, d), inf), ((f, e), 3), ((f, f), 0), ((f, g), 1), ((f, h), 2), ((g, a), inf), ((g, b), inf), ((g, c), inf), ((g, d), inf), ((g, e), 2), ((g, f), 3), ((g, g), 0), ((g, h), 1), ((h, a), inf), ((h, b), inf), ((h, c), inf), ((h, d), inf), ((h, e), 1), ((h, f), 2), ((h, g), 3), ((h, h), 0), ] .iter() .cloned() .collect(); let res = floyd_warshall(&graph, |_| 1 as i32).unwrap(); let nodes = [a, b, c, d, e, f, g, h]; for node1 in &nodes { for node2 in &nodes { assert_eq!( res.get(&(*node1, *node2)).unwrap(), expected_res.get(&(*node1, *node2)).unwrap() ); } } } #[test] fn floyd_warshall_weighted() { let mut graph: Graph<(), (), Directed> = Graph::new(); let a = graph.add_node(()); let b = graph.add_node(()); let c = graph.add_node(()); let d = graph.add_node(()); graph.extend_with_edges(&[(a, b), (a, c), (a, d), (b, c), (b, d), (c, d)]); let inf = std::i32::MAX; let expected_res: HashMap<(NodeIndex, NodeIndex), i32> = [ ((a, a), 0), ((a, b), 1), ((a, c), 3), ((a, d), 3), ((b, a), inf), ((b, b), 0), ((b, c), 2), ((b, d), 2), ((c, a), inf), ((c, b), inf), ((c, c), 0), ((c, d), 2), ((d, a), inf), ((d, b), inf), ((d, c), inf), ((d, d), 0), ] .iter() .cloned() .collect(); let weight_map: HashMap<(NodeIndex, NodeIndex), i32> = [ ((a, a), 0), ((a, b), 1), ((a, c), 4), ((a, d), 10), ((b, b), 0), ((b, c), 2), ((b, d), 2), ((c, c), 0), ((c, d), 2), ] .iter() .cloned() .collect(); let res = floyd_warshall(&graph, |edge| { if let Some(weight) = weight_map.get(&(edge.source(), edge.target())) { *weight } else { inf } }) .unwrap(); let nodes = [a, b, c, d]; for node1 in &nodes { for node2 in &nodes { assert_eq!( res.get(&(*node1, *node2)).unwrap(), expected_res.get(&(*node1, *node2)).unwrap() ); } } } #[test] fn floyd_warshall_weighted_undirected() { let mut graph: Graph<(), (), Undirected> = Graph::new_undirected(); let a = graph.add_node(()); let b = graph.add_node(()); let c = graph.add_node(()); let d = graph.add_node(()); graph.extend_with_edges(&[(a, b), (a, c), (a, d), (b, d), (c, b), (c, d)]); let inf = std::i32::MAX; let expected_res: HashMap<(NodeIndex, NodeIndex), i32> = [ ((a, a), 0), ((a, b), 1), ((a, c), 3), ((a, d), 3), ((b, a), 1), ((b, b), 0), ((b, c), 2), ((b, d), 2), ((c, a), 3), ((c, b), 2), ((c, c), 0), ((c, d), 2), ((d, a), 3), ((d, b), 2), ((d, c), 2), ((d, d), 0), ] .iter() .cloned() .collect(); let weight_map: HashMap<(NodeIndex, NodeIndex), i32> = [ ((a, a), 0), ((a, b), 1), ((a, c), 4), ((a, d), 10), ((b, b), 0), ((b, d), 2), ((c, b), 2), ((c, c), 0), ((c, d), 2), ] .iter() .cloned() .collect(); let res = floyd_warshall(&graph, |edge| { if let Some(weight) = weight_map.get(&(edge.source(), edge.target())) { *weight } else { inf } }) .unwrap(); let nodes = [a, b, c, d]; for node1 in &nodes { for node2 in &nodes { assert_eq!( res.get(&(*node1, *node2)).unwrap(), expected_res.get(&(*node1, *node2)).unwrap() ); } } } #[test] fn floyd_warshall_negative_cycle() { let mut graph: Graph<(), (), Directed> = Graph::new(); let a = graph.add_node(()); let b = graph.add_node(()); let c = graph.add_node(()); graph.extend_with_edges(&[(a, b), (b, c), (c, a)]); let inf = std::i32::MAX; let weight_map: HashMap<(NodeIndex, NodeIndex), i32> = [ ((a, a), 0), ((a, b), 1), ((b, b), 0), ((b, c), -3), ((c, c), 0), ((c, a), 1), ] .iter() .cloned() .collect(); let res = floyd_warshall(&graph, |edge| { if let Some(weight) = weight_map.get(&(edge.source(), edge.target())) { *weight } else { inf } }); assert!(res.is_err()); } ������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/graph.rs�����������������������������������������������������������������������0000644�0000000�0000000�00000210735�10461020230�0014266�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������extern crate petgraph; use std::collections::HashSet; use std::hash::Hash; use petgraph::prelude::*; use petgraph::EdgeType; use petgraph as pg; use petgraph::algo::{ dominators, has_path_connecting, is_bipartite_undirected, is_cyclic_undirected, is_isomorphic_matching, min_spanning_tree, }; use petgraph::graph::node_index as n; use petgraph::graph::IndexType; use petgraph::algo::{astar, dijkstra, DfsSpace}; use petgraph::visit::{ IntoEdges, IntoEdgesDirected, IntoNeighbors, IntoNodeIdentifiers, NodeFiltered, Reversed, Topo, VisitMap, Walker, }; use petgraph::dot::Dot; fn set<I>(iter: I) -> HashSet<I::Item> where I: IntoIterator, I::Item: Hash + Eq, { iter.into_iter().collect() } #[test] fn undirected() { let mut og = Graph::new_undirected(); let a = og.add_node(0); let b = og.add_node(1); let c = og.add_node(2); let d = og.add_node(3); let _ = og.add_edge(a, b, 0); let _ = og.add_edge(a, c, 1); og.add_edge(c, a, 2); og.add_edge(a, a, 3); og.add_edge(b, c, 4); og.add_edge(b, a, 5); og.add_edge(a, d, 6); assert_eq!(og.node_count(), 4); assert_eq!(og.edge_count(), 7); assert!(og.find_edge(a, b).is_some()); assert!(og.find_edge(d, a).is_some()); assert!(og.find_edge(a, a).is_some()); for edge in og.raw_edges() { assert!(og.find_edge(edge.source(), edge.target()).is_some()); assert!(og.find_edge(edge.target(), edge.source()).is_some()); } assert_eq!(og.neighbors(b).collect::<Vec<_>>(), vec![a, c, a]); og.remove_node(a); assert_eq!(og.neighbors(b).collect::<Vec<_>>(), vec![c]); assert_eq!(og.node_count(), 3); assert_eq!(og.edge_count(), 1); assert!(og.find_edge(a, b).is_none()); assert!(og.find_edge(d, a).is_none()); assert!(og.find_edge(a, a).is_none()); assert!(og.find_edge(b, c).is_some()); assert_graph_consistent(&og); } #[test] fn dfs() { let mut gr = Graph::new(); let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); let k = gr.add_node("K"); // Z is disconnected. let _ = gr.add_node("Z"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); gr.add_edge(i, k, 2.); println!("{}", Dot::new(&gr)); assert_eq!(Dfs::new(&gr, h).iter(&gr).count(), 4); assert_eq!(Dfs::new(&gr, h).iter(&gr).clone().count(), 4); assert_eq!(Dfs::new(&gr, h).iter(Reversed(&gr)).count(), 1); assert_eq!(Dfs::new(&gr, k).iter(Reversed(&gr)).count(), 3); assert_eq!(Dfs::new(&gr, i).iter(&gr).count(), 3); } #[test] fn dfs_order() { let mut gr = Graph::new(); let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); let k = gr.add_node("K"); gr.add_edge(h, i, ()); gr.add_edge(h, j, ()); gr.add_edge(h, k, ()); gr.add_edge(i, k, ()); gr.add_edge(k, i, ()); // H // / | \ // I J K // \___/ // // J cannot be visited between I and K in a depth-first search from H let mut seen_i = false; let mut seen_k = false; for node in Dfs::new(&gr, h).iter(&gr) { seen_i |= i == node; seen_k |= k == node; assert!(!(j == node && (seen_i ^ seen_k)), "Invalid DFS order"); } } #[test] fn bfs() { let mut gr = Graph::new(); let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); let k = gr.add_node("K"); // Z is disconnected. let _ = gr.add_node("Z"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); gr.add_edge(i, k, 2.); assert_eq!(Bfs::new(&gr, h).iter(&gr).count(), 4); assert_eq!(Bfs::new(&gr, h).iter(&gr).clone().count(), 4); assert_eq!(Bfs::new(&gr, h).iter(Reversed(&gr)).count(), 1); assert_eq!(Bfs::new(&gr, k).iter(Reversed(&gr)).count(), 3); assert_eq!(Bfs::new(&gr, i).iter(&gr).count(), 3); let mut bfs = Bfs::new(&gr, h); let nx = bfs.next(&gr); assert_eq!(nx, Some(h)); let nx1 = bfs.next(&gr); assert!(nx1 == Some(i) || nx1 == Some(j)); let nx2 = bfs.next(&gr); assert!(nx2 == Some(i) || nx2 == Some(j)); assert!(nx1 != nx2); let nx = bfs.next(&gr); assert_eq!(nx, Some(k)); assert_eq!(bfs.next(&gr), None); } #[test] fn mst() { use petgraph::data::FromElements; let mut gr = Graph::<_, _>::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); let g = gr.add_node("G"); gr.add_edge(a, b, 7.); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); // add a disjoint part let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); println!("{}", Dot::new(&gr)); let mst = UnGraph::from_elements(min_spanning_tree(&gr)); println!("{}", Dot::new(&mst)); println!("{:?}", Dot::new(&mst)); println!("MST is:\n{:#?}", mst); assert!(mst.node_count() == gr.node_count()); // |E| = |N| - 2 because there are two disconnected components. assert!(mst.edge_count() == gr.node_count() - 2); // check the exact edges are there assert!(mst.find_edge(a, b).is_some()); assert!(mst.find_edge(a, d).is_some()); assert!(mst.find_edge(b, e).is_some()); assert!(mst.find_edge(e, c).is_some()); assert!(mst.find_edge(e, g).is_some()); assert!(mst.find_edge(d, f).is_some()); assert!(mst.find_edge(h, i).is_some()); assert!(mst.find_edge(i, j).is_some()); assert!(mst.find_edge(d, b).is_none()); assert!(mst.find_edge(b, c).is_none()); } #[test] fn selfloop() { let mut gr = Graph::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); gr.add_edge(a, b, 7.); gr.add_edge(c, a, 6.); let sed = gr.add_edge(a, a, 2.); assert!(gr.find_edge(a, b).is_some()); assert!(gr.find_edge(b, a).is_none()); assert!(gr.find_edge_undirected(b, a).is_some()); assert!(gr.find_edge(a, a).is_some()); println!("{:?}", gr); gr.remove_edge(sed); assert!(gr.find_edge(a, a).is_none()); println!("{:?}", gr); } #[test] fn cyclic() { let mut gr = Graph::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); assert!(!is_cyclic_undirected(&gr)); gr.add_edge(a, b, 7.); gr.add_edge(c, a, 6.); assert!(!is_cyclic_undirected(&gr)); { let e = gr.add_edge(a, a, 0.); assert!(is_cyclic_undirected(&gr)); gr.remove_edge(e); assert!(!is_cyclic_undirected(&gr)); } { let e = gr.add_edge(b, c, 0.); assert!(is_cyclic_undirected(&gr)); gr.remove_edge(e); assert!(!is_cyclic_undirected(&gr)); } let d = gr.add_node("D"); let e = gr.add_node("E"); gr.add_edge(b, d, 0.); gr.add_edge(d, e, 0.); assert!(!is_cyclic_undirected(&gr)); gr.add_edge(c, e, 0.); assert!(is_cyclic_undirected(&gr)); assert_graph_consistent(&gr); } #[test] fn bipartite() { { let mut gr = Graph::new_undirected(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); gr.add_edge(a, d, 7.); gr.add_edge(b, d, 6.); assert!(is_bipartite_undirected(&gr, a)); let e_index = gr.add_edge(a, b, 6.); assert!(!is_bipartite_undirected(&gr, a)); gr.remove_edge(e_index); assert!(is_bipartite_undirected(&gr, a)); gr.add_edge(b, e, 7.); gr.add_edge(b, f, 6.); gr.add_edge(c, e, 6.); assert!(is_bipartite_undirected(&gr, a)); } { let mut gr = Graph::new_undirected(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); let g = gr.add_node("G"); let h = gr.add_node("H"); gr.add_edge(a, f, 7.); gr.add_edge(a, g, 7.); gr.add_edge(a, h, 7.); gr.add_edge(b, f, 6.); gr.add_edge(b, g, 6.); gr.add_edge(b, h, 6.); gr.add_edge(c, f, 6.); gr.add_edge(c, g, 6.); gr.add_edge(c, h, 6.); gr.add_edge(d, f, 6.); gr.add_edge(d, g, 6.); gr.add_edge(d, h, 6.); gr.add_edge(e, f, 6.); gr.add_edge(e, g, 6.); gr.add_edge(e, h, 6.); assert!(is_bipartite_undirected(&gr, a)); gr.add_edge(a, b, 6.); assert!(!is_bipartite_undirected(&gr, a)); } } #[test] fn multi() { let mut gr = Graph::new(); let a = gr.add_node("a"); let b = gr.add_node("b"); gr.add_edge(a, b, ()); gr.add_edge(a, b, ()); assert_eq!(gr.edge_count(), 2); } #[test] fn iter_multi_edges() { let mut gr = Graph::new(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); let mut connecting_edges = HashSet::new(); gr.add_edge(a, a, ()); connecting_edges.insert(gr.add_edge(a, b, ())); gr.add_edge(a, c, ()); gr.add_edge(c, b, ()); connecting_edges.insert(gr.add_edge(a, b, ())); gr.add_edge(b, a, ()); let mut iter = gr.edges_connecting(a, b); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); assert_eq!(None, iter.next()); assert!(connecting_edges.is_empty()); } #[test] fn iter_multi_undirected_edges() { let mut gr = Graph::new_undirected(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); let mut connecting_edges = HashSet::new(); gr.add_edge(a, a, ()); connecting_edges.insert(gr.add_edge(a, b, ())); gr.add_edge(a, c, ()); gr.add_edge(c, b, ()); connecting_edges.insert(gr.add_edge(a, b, ())); connecting_edges.insert(gr.add_edge(b, a, ())); let mut iter = gr.edges_connecting(a, b); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); assert_eq!(None, iter.next()); assert!(connecting_edges.is_empty()); } #[test] fn update_edge() { { let mut gr = Graph::new(); let a = gr.add_node("a"); let b = gr.add_node("b"); let e = gr.update_edge(a, b, 1); let f = gr.update_edge(a, b, 2); let _ = gr.update_edge(b, a, 3); assert_eq!(gr.edge_count(), 2); assert_eq!(e, f); assert_eq!(*gr.edge_weight(f).unwrap(), 2); } { let mut gr = Graph::new_undirected(); let a = gr.add_node("a"); let b = gr.add_node("b"); let e = gr.update_edge(a, b, 1); let f = gr.update_edge(b, a, 2); assert_eq!(gr.edge_count(), 1); assert_eq!(e, f); assert_eq!(*gr.edge_weight(f).unwrap(), 2); } } #[test] fn dijk() { let mut g = Graph::new_undirected(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); let f = g.add_node("F"); g.add_edge(a, b, 7); g.add_edge(c, a, 9); g.add_edge(a, d, 14); g.add_edge(b, c, 10); g.add_edge(d, c, 2); g.add_edge(d, e, 9); g.add_edge(b, f, 15); g.add_edge(c, f, 11); g.add_edge(e, f, 6); println!("{:?}", g); for no in Bfs::new(&g, a).iter(&g) { println!("Visit {:?} = {:?}", no, g.node_weight(no)); } let scores = dijkstra(&g, a, None, |e| *e.weight()); let mut scores: Vec<_> = scores.into_iter().map(|(n, s)| (g[n], s)).collect(); scores.sort(); assert_eq!( scores, vec![ ("A", 0), ("B", 7), ("C", 9), ("D", 11), ("E", 20), ("F", 20) ] ); let scores = dijkstra(&g, a, Some(c), |e| *e.weight()); assert_eq!(scores[&c], 9); } #[test] fn test_astar_null_heuristic() { let mut g = Graph::new(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); let f = g.add_node("F"); g.add_edge(a, b, 7); g.add_edge(c, a, 9); g.add_edge(a, d, 14); g.add_edge(b, c, 10); g.add_edge(d, c, 2); g.add_edge(d, e, 9); g.add_edge(b, f, 15); g.add_edge(c, f, 11); g.add_edge(e, f, 6); let path = astar(&g, a, |finish| finish == e, |e| *e.weight(), |_| 0); assert_eq!(path, Some((23, vec![a, d, e]))); // check against dijkstra let dijkstra_run = dijkstra(&g, a, Some(e), |e| *e.weight()); assert_eq!(dijkstra_run[&e], 23); let path = astar(&g, e, |finish| finish == b, |e| *e.weight(), |_| 0); assert_eq!(path, None); } #[test] fn test_astar_manhattan_heuristic() { let mut g = Graph::new(); let a = g.add_node((0., 0.)); let b = g.add_node((2., 0.)); let c = g.add_node((1., 1.)); let d = g.add_node((0., 2.)); let e = g.add_node((3., 3.)); let f = g.add_node((4., 2.)); let _ = g.add_node((5., 5.)); // no path to node g.add_edge(a, b, 2.); g.add_edge(a, d, 4.); g.add_edge(b, c, 1.); g.add_edge(b, f, 7.); g.add_edge(c, e, 5.); g.add_edge(e, f, 1.); g.add_edge(d, e, 1.); let heuristic_for = |f: NodeIndex| { let g = &g; move |node: NodeIndex| -> f32 { let (x1, y1): (f32, f32) = g[node]; let (x2, y2): (f32, f32) = g[f]; (x2 - x1).abs() + (y2 - y1).abs() } }; let path = astar( &g, a, |finish| finish == f, |e| *e.weight(), heuristic_for(f), ); assert_eq!(path, Some((6., vec![a, d, e, f]))); // check against dijkstra let dijkstra_run = dijkstra(&g, a, None, |e| *e.weight()); for end in g.node_indices() { let astar_path = astar( &g, a, |finish| finish == end, |e| *e.weight(), heuristic_for(end), ); assert_eq!(dijkstra_run.get(&end).cloned(), astar_path.map(|t| t.0)); } } #[test] fn test_astar_runtime_optimal() { let mut g = Graph::new(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); g.add_edge(a, b, 2); g.add_edge(a, c, 3); g.add_edge(b, d, 3); g.add_edge(c, d, 1); g.add_edge(d, e, 1); let mut times_called = 0; let _ = astar( &g, a, |n| n == e, |edge| { times_called += 1; *edge.weight() }, |_| 0, ); // A* is runtime optimal in the sense it won't expand more nodes than needed, for the given // heuristic. Here, A* should expand, in order: A, B, C, D, E. This should should ask for the // costs of edges (A, B), (A, C), (B, D), (C, D), (D, E). Node D will be added to `visit_next` // twice, but should only be expanded once. If it is erroneously expanded twice, it will call // for (D, E) again and `times_called` will be 6. assert_eq!(times_called, 5); } #[test] fn test_astar_admissible_inconsistent() { let mut g = Graph::new(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); g.add_edge(a, b, 3); g.add_edge(b, c, 3); g.add_edge(c, d, 3); g.add_edge(a, c, 8); g.add_edge(a, d, 10); let admissible_inconsistent = |n: NodeIndex| match g[n] { "A" => 9, "B" => 6, "C" => 0, &_ => 0, }; let optimal = astar(&g, a, |n| n == d, |e| *e.weight(), admissible_inconsistent); assert_eq!(optimal, Some((9, vec![a, b, c, d]))); } #[cfg(feature = "generate")] #[test] fn test_generate_undirected() { for size in 0..4 { let mut gen = pg::generate::Generator::<Undirected>::all(size, true); let nedges = (size * size - size) / 2 + size; let mut n = 0; while let Some(g) = gen.next_ref() { n += 1; println!("{:?}", g); } assert_eq!(n, 1 << nedges); } } #[cfg(feature = "generate")] #[test] fn test_generate_directed() { // Number of DAG out of all graphs (all permutations) per node size // 0, 1, 2, 3, 4, 5 .. let n_dag = &[1, 1, 3, 25, 543, 29281, 3781503]; for (size, &dags_exp) in (0..4).zip(n_dag) { let mut gen = pg::generate::Generator::<Directed>::all(size, true); let nedges = size * size; let mut n = 0; let mut dags = 0; while let Some(g) = gen.next_ref() { n += 1; if !pg::algo::is_cyclic_directed(g) { dags += 1; } } /* // check that all generated graphs have unique adjacency matrices let mut adjmats = graphs.iter().map(Graph::adjacency_matrix).collect::<Vec<_>>(); adjmats.sort(); adjmats.dedup(); assert_eq!(adjmats.len(), n); */ assert_eq!(dags_exp, dags); assert_eq!(n, 1 << nedges); } } #[cfg(feature = "generate")] #[test] fn test_generate_dag() { use petgraph::visit::GetAdjacencyMatrix; for size in 1..5 { let gen = pg::generate::Generator::directed_acyclic(size); let nedges = (size - 1) * size / 2; let graphs = gen.collect::<Vec<_>>(); assert_eq!(graphs.len(), 1 << nedges); // check that all generated graphs have unique adjacency matrices let mut adjmats = graphs .iter() .map(Graph::adjacency_matrix) .collect::<Vec<_>>(); adjmats.sort(); adjmats.dedup(); assert_eq!(adjmats.len(), graphs.len()); for gr in &graphs { assert!( !petgraph::algo::is_cyclic_directed(gr), "Assertion failed: {:?} acyclic", gr ); } } } #[test] fn without() { let mut og = Graph::new_undirected(); let a = og.add_node(0); let b = og.add_node(1); let c = og.add_node(2); let d = og.add_node(3); let _ = og.add_edge(a, b, 0); let _ = og.add_edge(a, c, 1); let v: Vec<NodeIndex> = og.externals(Outgoing).collect(); assert_eq!(v, vec![d]); let mut og = Graph::new(); let a = og.add_node(0); let b = og.add_node(1); let c = og.add_node(2); let d = og.add_node(3); let _ = og.add_edge(a, b, 0); let _ = og.add_edge(a, c, 1); let init: Vec<NodeIndex> = og.externals(Incoming).collect(); let term: Vec<NodeIndex> = og.externals(Outgoing).collect(); assert_eq!(init, vec![a, d]); assert_eq!(term, vec![b, c, d]); } fn assert_is_topo_order<N, E>(gr: &Graph<N, E, Directed>, order: &[NodeIndex]) { assert_eq!(gr.node_count(), order.len()); // check all the edges of the graph for edge in gr.raw_edges() { let a = edge.source(); let b = edge.target(); let ai = order.iter().position(|x| *x == a).unwrap(); let bi = order.iter().position(|x| *x == b).unwrap(); println!("Check that {:?} is before {:?}", a, b); assert!( ai < bi, "Topo order: assertion that node {:?} is before {:?} failed", a, b ); } } #[test] fn test_toposort() { let mut gr = Graph::<_, _>::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); let g = gr.add_node("G"); gr.extend_with_edges(&[ (a, b, 7.), (a, d, 5.), (d, b, 9.), (b, c, 8.), (b, e, 7.), (c, e, 5.), (d, e, 15.), (d, f, 6.), (f, e, 8.), (f, g, 11.), (e, g, 9.), ]); // add a disjoint part let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); let order = petgraph::algo::toposort(&gr, None).unwrap(); println!("{:?}", order); assert_eq!(order.len(), gr.node_count()); assert_is_topo_order(&gr, &order); } #[test] fn test_toposort_eq() { let mut g = Graph::<_, _>::new(); let a = g.add_node("A"); let b = g.add_node("B"); g.add_edge(a, b, ()); assert_eq!(petgraph::algo::toposort(&g, None), Ok(vec![a, b])); } #[test] fn is_cyclic_directed() { let mut gr = Graph::<_, _>::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); let g = gr.add_node("G"); gr.add_edge(a, b, 7.0); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); assert!(!petgraph::algo::is_cyclic_directed(&gr)); // add a disjoint part let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); assert!(!petgraph::algo::is_cyclic_directed(&gr)); gr.add_edge(g, e, 0.); assert!(petgraph::algo::is_cyclic_directed(&gr)); } /// Compare two scc sets. Inside each scc, the order does not matter, /// but the order of the sccs is significant. fn assert_sccs_eq( mut res: Vec<Vec<NodeIndex>>, mut answer: Vec<Vec<NodeIndex>>, scc_order_matters: bool, ) { // normalize the result and compare with the answer. for scc in &mut res { scc.sort(); } for scc in &mut answer { scc.sort(); } if !scc_order_matters { res.sort(); answer.sort(); } assert_eq!(res, answer); } #[test] fn scc() { let gr: Graph<(), ()> = Graph::from_edges(&[ (6, 0), (0, 3), (3, 6), (8, 6), (8, 2), (2, 5), (5, 8), (7, 5), (1, 7), (7, 4), (4, 1), ]); assert_sccs_eq( petgraph::algo::kosaraju_scc(&gr), vec![ vec![n(0), n(3), n(6)], vec![n(2), n(5), n(8)], vec![n(1), n(4), n(7)], ], true, ); // Reversed edges gives the same sccs (when sorted) assert_sccs_eq( petgraph::algo::kosaraju_scc(Reversed(&gr)), vec![ vec![n(1), n(4), n(7)], vec![n(2), n(5), n(8)], vec![n(0), n(3), n(6)], ], true, ); // Test an undirected graph just for fun. // Sccs are just connected components. let mut hr = gr.into_edge_type::<Undirected>(); // Delete an edge to disconnect it let ed = hr.find_edge(n(6), n(8)).unwrap(); assert!(hr.remove_edge(ed).is_some()); assert_sccs_eq( petgraph::algo::kosaraju_scc(&hr), vec![ vec![n(0), n(3), n(6)], vec![n(1), n(2), n(4), n(5), n(7), n(8)], ], false, ); // acyclic non-tree, #14 let n = NodeIndex::new; let mut gr = Graph::new(); gr.add_node(0); gr.add_node(1); gr.add_node(2); gr.add_node(3); gr.add_edge(n(3), n(2), ()); gr.add_edge(n(3), n(1), ()); gr.add_edge(n(2), n(0), ()); gr.add_edge(n(1), n(0), ()); assert_sccs_eq( petgraph::algo::kosaraju_scc(&gr), vec![vec![n(0)], vec![n(1)], vec![n(2)], vec![n(3)]], true, ); // Kosaraju bug from PR #60 let mut gr = Graph::<(), ()>::new(); gr.extend_with_edges(&[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2)]); gr.add_node(()); // no order for the disconnected one assert_sccs_eq( petgraph::algo::kosaraju_scc(&gr), vec![vec![n(0)], vec![n(1)], vec![n(2)], vec![n(3)]], false, ); } #[test] fn tarjan_scc() { let gr: Graph<(), ()> = Graph::from_edges(&[ (6, 0), (0, 3), (3, 6), (8, 6), (8, 2), (2, 5), (5, 8), (7, 5), (1, 7), (7, 4), (4, 1), ]); let mut tarjan_scc = petgraph::algo::TarjanScc::new(); let mut result = Vec::new(); tarjan_scc.run(&gr, |scc| result.push(scc.iter().rev().cloned().collect())); assert_sccs_eq( result, vec![ vec![n(0), n(3), n(6)], vec![n(2), n(5), n(8)], vec![n(1), n(4), n(7)], ], true, ); // Test an undirected graph just for fun. // Sccs are just connected components. let mut hr = gr.into_edge_type::<Undirected>(); // Delete an edge to disconnect it let ed = hr.find_edge(n(6), n(8)).unwrap(); assert!(hr.remove_edge(ed).is_some()); let mut result = Vec::new(); tarjan_scc.run(&hr, |scc| result.push(scc.iter().rev().cloned().collect())); assert_sccs_eq( result, vec![ vec![n(1), n(2), n(4), n(5), n(7), n(8)], vec![n(0), n(3), n(6)], ], false, ); // acyclic non-tree, #14 let n = NodeIndex::new; let mut gr = Graph::new(); gr.add_node(0); gr.add_node(1); gr.add_node(2); gr.add_node(3); gr.add_edge(n(3), n(2), ()); gr.add_edge(n(3), n(1), ()); gr.add_edge(n(2), n(0), ()); gr.add_edge(n(1), n(0), ()); let mut result = Vec::new(); tarjan_scc.run(&gr, |scc| result.push(scc.iter().rev().cloned().collect())); assert_sccs_eq( result, vec![vec![n(0)], vec![n(1)], vec![n(2)], vec![n(3)]], true, ); // Kosaraju bug from PR #60 let mut gr = Graph::<(), ()>::new(); gr.extend_with_edges(&[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2)]); gr.add_node(()); // no order for the disconnected one let mut result = Vec::new(); tarjan_scc.run(&gr, |scc| result.push(scc.iter().rev().cloned().collect())); assert_sccs_eq( result, vec![vec![n(0)], vec![n(1)], vec![n(2)], vec![n(3)]], false, ); } #[test] fn condensation() { let gr: Graph<(), ()> = Graph::from_edges(&[ (6, 0), (0, 3), (3, 6), (8, 6), (8, 2), (2, 3), (2, 5), (5, 8), (7, 5), (1, 7), (7, 4), (4, 1), ]); // make_acyclic = true let cond = petgraph::algo::condensation(gr.clone(), true); assert!(cond.node_count() == 3); assert!(cond.edge_count() == 2); assert!( !petgraph::algo::is_cyclic_directed(&cond), "Assertion failed: {:?} acyclic", cond ); // make_acyclic = false let cond = petgraph::algo::condensation(gr.clone(), false); assert!(cond.node_count() == 3); assert!(cond.edge_count() == gr.edge_count()); } #[test] fn connected_comp() { let n = NodeIndex::new; let mut gr = Graph::new(); gr.add_node(0); gr.add_node(1); gr.add_node(2); gr.add_node(3); gr.add_node(4); gr.add_node(5); gr.add_node(6); gr.add_node(7); gr.add_node(8); gr.add_edge(n(6), n(0), ()); gr.add_edge(n(0), n(3), ()); gr.add_edge(n(3), n(6), ()); gr.add_edge(n(8), n(6), ()); gr.add_edge(n(8), n(2), ()); gr.add_edge(n(2), n(5), ()); gr.add_edge(n(5), n(8), ()); gr.add_edge(n(7), n(5), ()); gr.add_edge(n(1), n(7), ()); gr.add_edge(n(7), n(4), ()); gr.add_edge(n(4), n(1), ()); assert_eq!(petgraph::algo::connected_components(&gr), 1); gr.add_node(9); gr.add_node(10); assert_eq!(petgraph::algo::connected_components(&gr), 3); gr.add_edge(n(9), n(10), ()); assert_eq!(petgraph::algo::connected_components(&gr), 2); let gr = gr.into_edge_type::<Undirected>(); assert_eq!(petgraph::algo::connected_components(&gr), 2); } #[should_panic] #[test] fn oob_index() { let mut gr = Graph::<_, ()>::new(); let a = gr.add_node(0); let b = gr.add_node(1); gr.remove_node(a); gr[b]; } #[test] fn usize_index() { let mut gr = Graph::<_, _, Directed, usize>::with_capacity(0, 0); let a = gr.add_node(0); let b = gr.add_node(1); let e = gr.add_edge(a, b, 1.2); let mut dfs = Dfs::new(&gr, a); while let Some(nx) = dfs.next(&gr) { gr[nx] += 1; } assert_eq!(gr[a], 1); assert_eq!(gr[b], 2); assert_eq!(gr[e], 1.2); } #[test] fn u8_index() { let mut gr = Graph::<_, (), Undirected, u8>::with_capacity(0, 0); for _ in 0..255 { gr.add_node(()); } } #[should_panic] #[test] fn u8_index_overflow() { let mut gr = Graph::<_, (), Undirected, u8>::with_capacity(0, 0); for _ in 0..256 { gr.add_node(()); } } #[should_panic] #[test] fn u8_index_overflow_edges() { let mut gr = Graph::<_, (), Undirected, u8>::with_capacity(0, 0); let a = gr.add_node('a'); let b = gr.add_node('b'); for _ in 0..256 { gr.add_edge(a, b, ()); } } #[test] fn test_weight_iterators() { let mut gr = Graph::<_, _>::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); let g = gr.add_node("G"); gr.add_edge(a, b, 7.0); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); assert_eq!(gr.node_weights_mut().count(), gr.node_count()); assert_eq!(gr.edge_weights_mut().count(), gr.edge_count()); // add a disjoint part let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); assert_eq!(gr.node_weights_mut().count(), gr.node_count()); assert_eq!(gr.edge_weights_mut().count(), gr.edge_count()); for nw in gr.node_weights_mut() { *nw = "x"; } for node in gr.raw_nodes() { assert_eq!(node.weight, "x"); } let old = gr.clone(); for (index, ew) in gr.edge_weights_mut().enumerate() { assert_eq!(old[EdgeIndex::new(index)], *ew); *ew = -*ew; } for (index, edge) in gr.raw_edges().iter().enumerate() { assert_eq!(edge.weight, -1. * old[EdgeIndex::new(index)]); } } #[test] fn walk_edges() { let mut gr = Graph::<_, _>::new(); let a = gr.add_node(0.); let b = gr.add_node(1.); let c = gr.add_node(2.); let d = gr.add_node(3.); let e0 = gr.add_edge(a, b, 0.); let e1 = gr.add_edge(a, d, 0.); let e2 = gr.add_edge(b, c, 0.); let e3 = gr.add_edge(c, a, 0.); // Set edge weights to difference: target - source. let mut dfs = Dfs::new(&gr, a); while let Some(source) = dfs.next(&gr) { let mut edges = gr.neighbors_directed(source, Outgoing).detach(); while let Some((edge, target)) = edges.next(&gr) { gr[edge] = gr[target] - gr[source]; } } assert_eq!(gr[e0], 1.); assert_eq!(gr[e1], 3.); assert_eq!(gr[e2], 1.); assert_eq!(gr[e3], -2.); let mut nedges = 0; let mut dfs = Dfs::new(&gr, a); while let Some(node) = dfs.next(&gr) { let mut edges = gr.neighbors_directed(node, Incoming).detach(); while let Some((edge, source)) = edges.next(&gr) { assert_eq!(gr.find_edge(source, node), Some(edge)); nedges += 1; } let mut edges = gr.neighbors_directed(node, Outgoing).detach(); while let Some((edge, target)) = edges.next(&gr) { assert_eq!(gr.find_edge(node, target), Some(edge)); nedges += 1; } } assert_eq!(nedges, 8); } #[test] fn index_twice_mut() { let mut gr = Graph::<_, _>::new(); let a = gr.add_node(0.); let b = gr.add_node(0.); let c = gr.add_node(0.); let d = gr.add_node(0.); let e = gr.add_node(0.); let f = gr.add_node(0.); let g = gr.add_node(0.); gr.add_edge(a, b, 7.0); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); for dir in &[Incoming, Outgoing] { for nw in gr.node_weights_mut() { *nw = 0.; } // walk the graph and sum incoming edges let mut dfs = Dfs::new(&gr, a); while let Some(node) = dfs.next(&gr) { let mut edges = gr.neighbors_directed(node, *dir).detach(); while let Some(edge) = edges.next_edge(&gr) { let (nw, ew) = gr.index_twice_mut(node, edge); *nw += *ew; } } // check the sums for i in 0..gr.node_count() { let ni = NodeIndex::new(i); let s = gr .edges_directed(ni, *dir) .map(|e| *e.weight()) .fold(0., |a, b| a + b); assert_eq!(s, gr[ni]); } println!("Sum {:?}: {:?}", dir, gr); } } fn make_edge_iterator_graph<Ty: EdgeType>() -> Graph<f64, f64, Ty> { let mut gr = Graph::default(); let a = gr.add_node(0.); let b = gr.add_node(0.); let c = gr.add_node(0.); let d = gr.add_node(0.); let e = gr.add_node(0.); let f = gr.add_node(0.); let g = gr.add_node(0.); gr.add_edge(a, b, 7.0); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, c, 8.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); gr } #[test] fn test_edge_iterators_directed() { let gr = make_edge_iterator_graph::<Directed>(); for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Outgoing), gr.edges(i)); // Reversed reverses edges, so target and source need to be reversed once more. itertools::assert_equal( gr.edges_directed(i, Outgoing) .map(|edge| (edge.source(), edge.target())), Reversed(&gr) .edges_directed(i, Incoming) .map(|edge| (edge.target(), edge.source())), ); for edge in gr.edges_directed(i, Outgoing) { assert_eq!( edge.source(), i, "outgoing edges should have a fixed source" ); } for edge in Reversed(&gr).edges_directed(i, Incoming) { assert_eq!( edge.target(), i, "reversed incoming edges should have a fixed target" ); } } let mut reversed_gr = gr.clone(); reversed_gr.reverse(); println!("{:#?}", gr); for i in gr.node_indices() { // Compare against reversed graphs two different ways: using .reverse() and Reversed. itertools::assert_equal(gr.edges_directed(i, Incoming), reversed_gr.edges(i)); // Reversed reverses edges, so target and source need to be reversed once more. itertools::assert_equal( gr.edges_directed(i, Incoming) .map(|edge| (edge.source(), edge.target())), Reversed(&gr) .edges(i) .map(|edge| (edge.target(), edge.source())), ); for edge in gr.edges_directed(i, Incoming) { assert_eq!( edge.target(), i, "incoming edges should have a fixed target" ); } for edge in Reversed(&gr).edges_directed(i, Outgoing) { assert_eq!( edge.source(), i, "reversed outgoing edges should have a fixed source" ); } } } #[test] fn test_edge_filtered_iterators_directed() { use petgraph::{ graph::EdgeReference, visit::{EdgeFiltered, IntoEdgesDirected}, }; let gr = make_edge_iterator_graph::<Directed>(); let filter = |edge: EdgeReference<f64>| -> bool { *edge.weight() > 8.0 }; let filtered = EdgeFiltered::from_fn(&gr, filter); for i in gr.node_indices() { itertools::assert_equal( filtered.edges_directed(i, Outgoing), gr.edges_directed(i, Outgoing).filter(|edge| filter(*edge)), ); itertools::assert_equal( filtered.edges_directed(i, Incoming), gr.edges_directed(i, Incoming).filter(|edge| filter(*edge)), ); } } #[test] fn test_node_filtered_iterators_directed() { use petgraph::{ graph::NodeIndex, visit::{IntoEdgesDirected, NodeFiltered}, }; let gr = make_edge_iterator_graph::<Directed>(); let filter = |node: NodeIndex<u32>| node.index() < 5; // < 5 makes sure there are edges going both ways between included and excluded nodes (e -> g, f -> e) let filtered = NodeFiltered::from_fn(&gr, filter); for i in gr.node_indices() { itertools::assert_equal( filtered.edges_directed(i, Outgoing), gr.edges_directed(i, Outgoing) .filter(|edge| filter(edge.source()) && filter(edge.target())), ); itertools::assert_equal( filtered.edges_directed(i, Incoming), gr.edges_directed(i, Incoming) .filter(|edge| filter(edge.source()) && filter(edge.target())), ); } } #[test] fn test_edge_iterators_undir() { let gr = make_edge_iterator_graph::<Undirected>(); for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Outgoing), gr.edges(i)); // Reversed reverses edges, so target and source need to be reversed once more. itertools::assert_equal( gr.edges_directed(i, Outgoing) .map(|edge| (edge.source(), edge.target())), Reversed(&gr) .edges_directed(i, Incoming) .map(|edge| (edge.target(), edge.source())), ); for edge in gr.edges_directed(i, Outgoing) { assert_eq!( edge.source(), i, "outgoing edges should have a fixed source" ); } for edge in Reversed(&gr).edges_directed(i, Incoming) { assert_eq!( edge.target(), i, "reversed incoming edges should have a fixed target" ); } } for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Incoming), gr.edges(i)); // Reversed reverses edges, so target and source need to be reversed once more. itertools::assert_equal( gr.edges_directed(i, Incoming) .map(|edge| (edge.source(), edge.target())), Reversed(&gr) .edges(i) .map(|edge| (edge.target(), edge.source())), ); for edge in gr.edges_directed(i, Incoming) { assert_eq!( edge.target(), i, "incoming edges should have a fixed target" ); } for edge in Reversed(&gr).edges_directed(i, Outgoing) { assert_eq!( edge.source(), i, "reversed outgoing edges should have a fixed source" ); } } } #[test] fn toposort_generic() { // This is a DAG, visit it in order let mut gr = Graph::<_, _>::new(); let b = gr.add_node(("B", 0.)); let a = gr.add_node(("A", 0.)); let c = gr.add_node(("C", 0.)); let d = gr.add_node(("D", 0.)); let e = gr.add_node(("E", 0.)); let f = gr.add_node(("F", 0.)); let g = gr.add_node(("G", 0.)); gr.add_edge(a, b, 7.0); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); assert!(!pg::algo::is_cyclic_directed(&gr)); let mut index = 0.; let mut topo = Topo::new(&gr); while let Some(nx) = topo.next(&gr) { gr[nx].1 = index; index += 1.; } let mut order = Vec::new(); index = 0.; let mut topo = Topo::new(&gr); while let Some(nx) = topo.next(&gr) { order.push(nx); assert_eq!(gr[nx].1, index); index += 1.; } println!("{:?}", gr); assert_is_topo_order(&gr, &order); { order.clear(); let mut topo = Topo::new(&gr); while let Some(nx) = topo.next(&gr) { order.push(nx); } println!("{:?}", gr); assert_is_topo_order(&gr, &order); } let mut gr2 = gr.clone(); gr.add_edge(e, d, -1.); assert!(pg::algo::is_cyclic_directed(&gr)); assert!(pg::algo::toposort(&gr, None).is_err()); gr2.add_edge(d, d, 0.); assert!(pg::algo::is_cyclic_directed(&gr2)); assert!(pg::algo::toposort(&gr2, None).is_err()); } #[test] fn test_has_path() { // This is a DAG, visit it in order let mut gr = Graph::<_, _>::new(); let b = gr.add_node(("B", 0.)); let a = gr.add_node(("A", 0.)); let c = gr.add_node(("C", 0.)); let d = gr.add_node(("D", 0.)); let e = gr.add_node(("E", 0.)); let f = gr.add_node(("F", 0.)); let g = gr.add_node(("G", 0.)); gr.add_edge(a, b, 7.0); gr.add_edge(a, d, 5.); gr.add_edge(d, b, 9.); gr.add_edge(b, c, 8.); gr.add_edge(b, e, 7.); gr.add_edge(c, e, 5.); gr.add_edge(d, e, 15.); gr.add_edge(d, f, 6.); gr.add_edge(f, e, 8.); gr.add_edge(f, g, 11.); gr.add_edge(e, g, 9.); // disconnected island let h = gr.add_node(("H", 0.)); let i = gr.add_node(("I", 0.)); gr.add_edge(h, i, 2.); gr.add_edge(i, h, -2.); let mut state = DfsSpace::default(); gr.add_edge(b, a, 99.); assert!(has_path_connecting(&gr, c, c, None)); for edge in gr.edge_references() { assert!(has_path_connecting(&gr, edge.source(), edge.target(), None)); } assert!(has_path_connecting(&gr, a, g, Some(&mut state))); assert!(!has_path_connecting(&gr, a, h, Some(&mut state))); assert!(has_path_connecting(&gr, a, c, None)); assert!(has_path_connecting(&gr, a, c, Some(&mut state))); assert!(!has_path_connecting(&gr, h, a, Some(&mut state))); } #[test] fn map_filter_map() { let mut g = Graph::new_undirected(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); let f = g.add_node("F"); g.add_edge(a, b, 7); g.add_edge(c, a, 9); g.add_edge(a, d, 14); g.add_edge(b, c, 10); g.add_edge(d, c, 2); g.add_edge(d, e, 9); g.add_edge(b, f, 15); g.add_edge(c, f, 11); g.add_edge(e, f, 6); println!("{:?}", g); let g2 = g.filter_map( |_, name| Some(*name), |_, &weight| if weight >= 10 { Some(weight) } else { None }, ); assert_eq!(g2.edge_count(), 4); for edge in g2.raw_edges() { assert!(edge.weight >= 10); } let g3 = g.filter_map( |i, &name| if i == a || i == e { None } else { Some(name) }, |i, &weight| { let (source, target) = g.edge_endpoints(i).unwrap(); // don't map edges from a removed node assert!(source != a); assert!(target != a); assert!(source != e); assert!(target != e); Some(weight) }, ); assert_eq!(g3.node_count(), g.node_count() - 2); assert_eq!(g3.edge_count(), g.edge_count() - 5); assert_graph_consistent(&g3); let mut g4 = g.clone(); g4.retain_edges(|gr, i| { let (s, t) = gr.edge_endpoints(i).unwrap(); !(s == a || s == e || t == a || t == e) }); assert_eq!(g4.edge_count(), g.edge_count() - 5); assert_graph_consistent(&g4); } #[test] fn from_edges() { let n = NodeIndex::new; let gr = Graph::<(), (), Undirected>::from_edges(&[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]); assert_eq!(gr.node_count(), 4); assert_eq!(gr.edge_count(), 6); assert_eq!(gr.neighbors(n(0)).count(), 3); assert_eq!(gr.neighbors(n(1)).count(), 3); assert_eq!(gr.neighbors(n(2)).count(), 3); assert_eq!(gr.neighbors(n(3)).count(), 3); assert_graph_consistent(&gr); } #[test] fn retain() { let mut gr = Graph::<i32, i32, Undirected>::from_edges(&[ (0, 1, 2), (1, 1, 1), (0, 2, 0), (1, 2, 3), (2, 3, 3), ]); gr.retain_edges(|mut gr, i| { if gr[i] <= 0 { false } else { gr[i] -= 1; let (s, t) = gr.edge_endpoints(i).unwrap(); gr[s] += 1; gr[t] += 1; gr[i] > 0 } }); assert_eq!(gr.edge_count(), 3); assert_eq!(gr[n(0)], 1); assert_eq!(gr[n(1)], 4); assert_eq!(gr[n(2)], 2); assert_eq!(gr[n(3)], 1); assert!(gr.find_edge(n(1), n(1)).is_none()); assert!(gr.find_edge(n(0), n(2)).is_none()); assert_graph_consistent(&gr); } fn assert_graph_consistent<N, E, Ty, Ix>(g: &Graph<N, E, Ty, Ix>) where Ty: EdgeType, Ix: IndexType, { assert_eq!(g.node_count(), g.node_indices().count()); assert_eq!(g.edge_count(), g.edge_indices().count()); for edge in g.raw_edges() { assert!( g.find_edge(edge.source(), edge.target()).is_some(), "Edge not in graph! {:?} to {:?}", edge.source(), edge.target() ); } } #[test] fn neighbors_selfloops() { // Directed graph let mut gr = Graph::<_, ()>::new(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); gr.extend_with_edges(&[(a, a), (a, b), (c, a), (a, a)]); let out_edges = [a, a, b]; let in_edges = [a, a, c]; let undir_edges = [a, a, b, c]; let mut seen_out = gr.neighbors(a).collect::<Vec<_>>(); seen_out.sort(); assert_eq!(&seen_out, &out_edges); let mut seen_in = gr.neighbors_directed(a, Incoming).collect::<Vec<_>>(); seen_in.sort(); assert_eq!(&seen_in, &in_edges); let mut seen_undir = gr.neighbors_undirected(a).collect::<Vec<_>>(); seen_undir.sort(); assert_eq!(&seen_undir, &undir_edges); let mut seen_out = gr.edges(a).map(|e| e.target()).collect::<Vec<_>>(); seen_out.sort(); assert_eq!(&seen_out, &out_edges); let mut seen_walk = Vec::new(); let mut walk = gr.neighbors(a).detach(); while let Some(n) = walk.next_node(&gr) { seen_walk.push(n); } seen_walk.sort(); assert_eq!(&seen_walk, &out_edges); seen_walk.clear(); let mut walk = gr.neighbors_directed(a, Incoming).detach(); while let Some(n) = walk.next_node(&gr) { seen_walk.push(n); } seen_walk.sort(); assert_eq!(&seen_walk, &in_edges); seen_walk.clear(); let mut walk = gr.neighbors_undirected(a).detach(); while let Some(n) = walk.next_node(&gr) { seen_walk.push(n); } seen_walk.sort(); assert_eq!(&seen_walk, &undir_edges); // Undirected graph let mut gr: Graph<_, (), _> = Graph::new_undirected(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); gr.extend_with_edges(&[(a, a), (a, b), (c, a)]); let out_edges = [a, b, c]; let in_edges = [a, b, c]; let undir_edges = [a, b, c]; let mut seen_out = gr.neighbors(a).collect::<Vec<_>>(); seen_out.sort(); assert_eq!(&seen_out, &out_edges); let mut seen_out = gr.edges(a).map(|e| e.target()).collect::<Vec<_>>(); seen_out.sort(); assert_eq!(&seen_out, &out_edges); let mut seen_in = gr.neighbors_directed(a, Incoming).collect::<Vec<_>>(); seen_in.sort(); assert_eq!(&seen_in, &in_edges); let mut seen_undir = gr.neighbors_undirected(a).collect::<Vec<_>>(); seen_undir.sort(); assert_eq!(&seen_undir, &undir_edges); } fn degree<'a, G>(g: G, node: G::NodeId) -> usize where G: IntoNeighbors, G::NodeId: PartialEq, { // self loops count twice let original_node = node.clone(); let mut degree = 0; for v in g.neighbors(node) { degree += if v == original_node { 2 } else { 1 }; } degree } #[cfg(feature = "graphmap")] #[test] fn degree_sequence() { let mut gr = Graph::<usize, (), Undirected>::from_edges(&[ (0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 4), (4, 5), (3, 5), ]); gr.add_node(0); // add isolated node let mut degree_sequence = gr .node_indices() .map(|i| degree(&gr, i)) .collect::<Vec<_>>(); degree_sequence.sort_by(|x, y| Ord::cmp(y, x)); assert_eq!(°ree_sequence, &[5, 3, 3, 2, 2, 1, 0]); let mut gr = GraphMap::<_, (), Undirected>::from_edges(&[ (0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 4), (4, 5), (3, 5), ]); gr.add_node(6); // add isolated node let mut degree_sequence = gr.nodes().map(|i| degree(&gr, i)).collect::<Vec<_>>(); degree_sequence.sort_by(|x, y| Ord::cmp(y, x)); assert_eq!(°ree_sequence, &[5, 3, 3, 2, 2, 1, 0]); } #[test] fn neighbor_order() { let mut gr = Graph::new(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); gr.add_edge(a, b, 0); gr.add_edge(a, a, 1); gr.add_edge(c, a, 2); gr.add_edge(a, c, 3); gr.add_edge(c, a, 4); gr.add_edge(b, a, 5); // neighbors (edges) are in lifo order, if it's a directed graph assert_eq!(gr.neighbors(a).collect::<Vec<_>>(), vec![c, a, b]); assert_eq!( gr.neighbors_directed(a, Incoming).collect::<Vec<_>>(), vec![b, c, c, a] ); } #[test] fn dot() { // test alternate formatting #[derive(Debug)] struct Record { a: i32, b: &'static str, } let mut gr = Graph::new(); let a = gr.add_node(Record { a: 1, b: r"abc\" }); gr.add_edge(a, a, (1, 2)); let dot_output = format!("{:?}", Dot::new(&gr)); assert_eq!( dot_output, // The single \ turns into four \\\\ because of Debug which turns it to \\ and then escaping each \ to \\. r#"digraph { 0 [ label = "Record { a: 1, b: \"abc\\\\\" }" ] 0 -> 0 [ label = "(1, 2)" ] } "# ); } #[test] fn filtered() { let mut g = Graph::new(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); let f = g.add_node("F"); g.add_edge(a, b, 7); g.add_edge(c, a, 9); g.add_edge(a, d, 14); g.add_edge(b, c, 10); g.add_edge(d, c, 2); g.add_edge(d, e, 9); g.add_edge(b, f, 15); g.add_edge(c, f, 11); g.add_edge(e, f, 6); println!("{:?}", g); let filt = NodeFiltered(&g, |n: NodeIndex| n != c && n != e); let mut dfs = DfsPostOrder::new(&filt, a); let mut po = Vec::new(); while let Some(nx) = dfs.next(&filt) { println!("Next: {:?}", nx); po.push(nx); } assert_eq!(set(po), set(g.node_identifiers().filter(|n| (filt.1)(*n)))); } #[test] fn filtered_edge_reverse() { use petgraph::visit::EdgeFiltered; #[derive(Eq, PartialEq)] enum E { A, B, } // Start with single node graph with loop let mut g = Graph::new(); let a = g.add_node("A"); g.add_edge(a, a, E::A); let ef_a = EdgeFiltered::from_fn(&g, |edge| *edge.weight() == E::A); let mut po = Vec::new(); let mut dfs = Dfs::new(&ef_a, a); while let Some(next_n_ix) = dfs.next(&ef_a) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![a])); // Check in reverse let mut po = Vec::new(); let mut dfs = Dfs::new(&Reversed(&ef_a), a); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_a)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![a])); let mut g = Graph::new(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); let f = g.add_node("F"); let h = g.add_node("H"); let i = g.add_node("I"); let j = g.add_node("J"); g.add_edge(a, b, E::A); g.add_edge(b, c, E::A); g.add_edge(c, d, E::B); g.add_edge(d, e, E::A); g.add_edge(e, f, E::A); g.add_edge(e, h, E::A); g.add_edge(e, i, E::A); g.add_edge(i, j, E::A); let ef_a = EdgeFiltered::from_fn(&g, |edge| *edge.weight() == E::A); let ef_b = EdgeFiltered::from_fn(&g, |edge| *edge.weight() == E::B); // DFS down from a, filtered by E::A. let mut po = Vec::new(); let mut dfs = Dfs::new(&ef_a, a); while let Some(next_n_ix) = dfs.next(&ef_a) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![a, b, c])); // Reversed DFS from f, filtered by E::A. let mut dfs = Dfs::new(&Reversed(&ef_a), f); let mut po = Vec::new(); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_a)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![d, e, f])); // Reversed DFS from j, filtered by E::A. let mut dfs = Dfs::new(&Reversed(&ef_a), j); let mut po = Vec::new(); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_a)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![d, e, i, j])); // Reversed DFS from c, filtered by E::A. let mut dfs = Dfs::new(&Reversed(&ef_a), c); let mut po = Vec::new(); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_a)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![a, b, c])); // Reversed DFS from c, filtered by E::B. let mut dfs = Dfs::new(&Reversed(&ef_b), c); let mut po = Vec::new(); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_b)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![c])); // Reversed DFS from d, filtered by E::B. let mut dfs = Dfs::new(&Reversed(&ef_b), d); let mut po = Vec::new(); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_b)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![c, d])); // Now let's test the same graph but undirected let mut g = Graph::new_undirected(); let a = g.add_node("A"); let b = g.add_node("B"); let c = g.add_node("C"); let d = g.add_node("D"); let e = g.add_node("E"); let f = g.add_node("F"); let h = g.add_node("H"); let i = g.add_node("I"); let j = g.add_node("J"); g.add_edge(a, b, E::A); g.add_edge(b, c, E::A); g.add_edge(c, d, E::B); g.add_edge(d, e, E::A); g.add_edge(e, f, E::A); g.add_edge(e, h, E::A); g.add_edge(e, i, E::A); g.add_edge(i, j, E::A); let ef_a = EdgeFiltered::from_fn(&g, |edge| *edge.weight() == E::A); let ef_b = EdgeFiltered::from_fn(&g, |edge| *edge.weight() == E::B); let mut po = Vec::new(); let mut dfs = Dfs::new(&Reversed(&ef_b), d); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_b)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![c, d])); let mut po = Vec::new(); let mut dfs = Dfs::new(&Reversed(&ef_a), h); while let Some(next_n_ix) = dfs.next(&Reversed(&ef_a)) { po.push(next_n_ix); } assert_eq!(set(po), set(vec![d, e, f, h, i, j])); } #[test] fn dfs_visit() { use petgraph::visit::Control; use petgraph::visit::DfsEvent::*; use petgraph::visit::{depth_first_search, Time}; use petgraph::visit::{VisitMap, Visitable}; let gr: Graph<(), ()> = Graph::from_edges(&[ (0, 5), (0, 2), (0, 3), (0, 1), (1, 3), (2, 3), (2, 4), (4, 0), (4, 5), ]); let invalid_time = Time(!0); let mut discover_time = vec![invalid_time; gr.node_count()]; let mut finish_time = vec![invalid_time; gr.node_count()]; let mut has_tree_edge = gr.visit_map(); let mut edges = HashSet::new(); depth_first_search(&gr, Some(n(0)), |evt| { println!("Event: {:?}", evt); match evt { Discover(n, t) => discover_time[n.index()] = t, Finish(n, t) => finish_time[n.index()] = t, TreeEdge(u, v) => { // v is an ancestor of u assert!(has_tree_edge.visit(v), "Two tree edges to {:?}!", v); assert!(discover_time[v.index()] == invalid_time); assert!(discover_time[u.index()] != invalid_time); assert!(finish_time[u.index()] == invalid_time); edges.insert((u, v)); } BackEdge(u, v) => { // u is an ancestor of v assert!(discover_time[v.index()] != invalid_time); assert!(finish_time[v.index()] == invalid_time); edges.insert((u, v)); } CrossForwardEdge(u, v) => { edges.insert((u, v)); } } }); assert!(discover_time.iter().all(|x| *x != invalid_time)); assert!(finish_time.iter().all(|x| *x != invalid_time)); assert_eq!(edges.len(), gr.edge_count()); assert_eq!( edges, set(gr.edge_references().map(|e| (e.source(), e.target()))) ); println!("{:?}", discover_time); println!("{:?}", finish_time); // find path from 0 to 4 let mut predecessor = vec![NodeIndex::end(); gr.node_count()]; let start = n(0); let goal = n(4); let ret = depth_first_search(&gr, Some(start), |event| { if let TreeEdge(u, v) = event { predecessor[v.index()] = u; if v == goal { return Control::Break(u); } } Control::Continue }); // assert we did terminate early assert!(ret.break_value().is_some()); assert!(predecessor.iter().any(|x| *x == NodeIndex::end())); let mut next = goal; let mut path = vec![next]; while next != start { let pred = predecessor[next.index()]; path.push(pred); next = pred; } path.reverse(); assert_eq!(&path, &[n(0), n(2), n(4)]); // check that if we prune 2, we never see 4. let start = n(0); let prune = n(2); let nongoal = n(4); let ret = depth_first_search(&gr, Some(start), |event| { if let Discover(n, _) = event { if n == prune { return Control::Prune; } } else if let TreeEdge(u, v) = event { if v == nongoal { return Control::Break(u); } } Control::Continue }); assert!(ret.break_value().is_none()); } #[test] fn filtered_post_order() { use petgraph::visit::NodeFiltered; let mut gr: Graph<(), ()> = Graph::from_edges(&[(0, 2), (1, 2), (0, 3), (1, 4), (2, 4), (4, 5), (3, 5)]); // map reachable nodes let mut dfs = Dfs::new(&gr, n(0)); while let Some(_) = dfs.next(&gr) {} let map = dfs.discovered; gr.add_edge(n(0), n(1), ()); let mut po = Vec::new(); let mut dfs = DfsPostOrder::new(&gr, n(0)); let f = NodeFiltered(&gr, map); while let Some(n) = dfs.next(&f) { po.push(n); } assert!(!po.contains(&n(1))); } #[test] fn filter_elements() { use petgraph::data::Element::{Edge, Node}; use petgraph::data::ElementIterator; use petgraph::data::FromElements; let elements = vec![ Node { weight: "A" }, Node { weight: "B" }, Node { weight: "C" }, Node { weight: "D" }, Node { weight: "E" }, Node { weight: "F" }, Edge { source: 0, target: 1, weight: 7, }, Edge { source: 2, target: 0, weight: 9, }, Edge { source: 0, target: 3, weight: 14, }, Edge { source: 1, target: 2, weight: 10, }, Edge { source: 3, target: 2, weight: 2, }, Edge { source: 3, target: 4, weight: 9, }, Edge { source: 1, target: 5, weight: 15, }, Edge { source: 2, target: 5, weight: 11, }, Edge { source: 4, target: 5, weight: 6, }, ]; let mut g = DiGraph::<_, _>::from_elements(elements.iter().cloned()); println!("{:#?}", g); assert!(g.contains_edge(n(1), n(5))); let g2 = DiGraph::<_, _>::from_elements(elements.iter().cloned().filter_elements(|elt| match elt { Node { ref weight } if **weight == "B" => false, _ => true, })); println!("{:#?}", g2); g.remove_node(n(1)); assert!(is_isomorphic_matching( &g, &g2, PartialEq::eq, PartialEq::eq )); } #[test] fn test_edge_filtered() { use petgraph::algo::connected_components; use petgraph::visit::EdgeFiltered; use petgraph::visit::IntoEdgeReferences; let gr = UnGraph::<(), _>::from_edges(&[ // cycle (0, 1, 7), (1, 2, 9), (2, 1, 14), // cycle (3, 4, 10), (4, 5, 2), (5, 3, 9), // cross edges (0, 3, -1), (1, 4, -2), (2, 5, -3), ]); assert_eq!(connected_components(&gr), 1); let positive_edges = EdgeFiltered::from_fn(&gr, |edge| *edge.weight() >= 0); assert_eq!(positive_edges.edge_references().count(), 6); assert!(positive_edges .edge_references() .all(|edge| *edge.weight() >= 0)); assert_eq!(connected_components(&positive_edges), 2); let mut dfs = DfsPostOrder::new(&positive_edges, n(0)); while let Some(_) = dfs.next(&positive_edges) {} let n = n::<u32>; for node in &[n(0), n(1), n(2)] { assert!(dfs.discovered.is_visited(node)); } for node in &[n(3), n(4), n(5)] { assert!(!dfs.discovered.is_visited(node)); } } #[test] fn test_dominators_simple_fast() { // Construct the following graph: // // .-----. // | <--------------------------------. // .--------+--------------| r |--------------. | // | | | | | | // | | '-----' | | // | .--V--. .--V--. | // | | | | | | // | | b | | c |--------. | // | | | | | | | // | '-----' '-----' | | // .--V--. | | .--V--. | // | | | | | | | // | a <-----+ | .----| g | | // | | | .----' | | | | // '-----' | | | '-----' | // | | | | | | // .--V--. | .-----. .--V--. | | | // | | | | | | | | | | // | d <-----+----> e <----. | f | | | | // | | | | | | | | | | // '-----' '-----' | '-----' | | | // | .-----. | | | | .--V--. | // | | | | | | .-' | | | // '-----> l | | | | | | j | | // | | '--. | | | | | | // '-----' | | | | '-----' | // | .--V--. | | .--V--. | | // | | | | | | | | | // '-------> h |-' '---> i <------' | // | | .---------> | | // '-----' | '-----' | // | .-----. | | // | | | | | // '----------> k <---------' | // | | | // '-----' | // | | // '----------------------------' // // This graph has the following dominator tree: // // r // |-- a // |-- b // |-- c // | |-- f // | `-- g // | `-- j // |-- d // | `-- l // |-- e // |-- i // |-- k // `-- h // // This graph and dominator tree are taken from figures 1 and 2 of "A Fast // Algorithm for Finding Dominators in a Flowgraph" by Lengauer et al: // http://www.cs.princeton.edu/courses/archive/spr03/cs423/download/dominators.pdf. let mut graph = DiGraph::<_, _>::new(); let r = graph.add_node("r"); let a = graph.add_node("a"); let b = graph.add_node("b"); let c = graph.add_node("c"); let d = graph.add_node("d"); let e = graph.add_node("e"); let f = graph.add_node("f"); let g = graph.add_node("g"); let h = graph.add_node("h"); let i = graph.add_node("i"); let j = graph.add_node("j"); let k = graph.add_node("k"); let l = graph.add_node("l"); graph.add_edge(r, a, ()); graph.add_edge(r, b, ()); graph.add_edge(r, c, ()); graph.add_edge(a, d, ()); graph.add_edge(b, a, ()); graph.add_edge(b, d, ()); graph.add_edge(b, e, ()); graph.add_edge(c, f, ()); graph.add_edge(c, g, ()); graph.add_edge(d, l, ()); graph.add_edge(e, h, ()); graph.add_edge(f, i, ()); graph.add_edge(g, i, ()); graph.add_edge(g, j, ()); graph.add_edge(h, e, ()); graph.add_edge(h, k, ()); graph.add_edge(i, k, ()); graph.add_edge(j, i, ()); graph.add_edge(k, r, ()); graph.add_edge(k, i, ()); graph.add_edge(l, h, ()); let doms = dominators::simple_fast(&graph, r); assert_eq!(doms.root(), r); assert_eq!( doms.immediate_dominator(r), None, "The root node has no idom" ); assert_eq!( doms.immediate_dominator(a), Some(r), "r is the immediate dominator of a" ); assert_eq!( doms.immediate_dominator(b), Some(r), "r is the immediate dominator of b" ); assert_eq!( doms.immediate_dominator(c), Some(r), "r is the immediate dominator of c" ); assert_eq!( doms.immediate_dominator(f), Some(c), "c is the immediate dominator of f" ); assert_eq!( doms.immediate_dominator(g), Some(c), "c is the immediate dominator of g" ); assert_eq!( doms.immediate_dominator(j), Some(g), "g is the immediate dominator of j" ); assert_eq!( doms.immediate_dominator(d), Some(r), "r is the immediate dominator of d" ); assert_eq!( doms.immediate_dominator(l), Some(d), "d is the immediate dominator of l" ); assert_eq!( doms.immediate_dominator(e), Some(r), "r is the immediate dominator of e" ); assert_eq!( doms.immediate_dominator(i), Some(r), "r is the immediate dominator of i" ); assert_eq!( doms.immediate_dominator(k), Some(r), "r is the immediate dominator of k" ); assert_eq!( doms.immediate_dominator(h), Some(r), "r is the immediate dominator of h" ); let mut graph = graph.clone(); let z = graph.add_node("z"); let doms = dominators::simple_fast(&graph, r); assert_eq!( doms.immediate_dominator(z), None, "nodes that aren't reachable from the root do not have an idom" ); } �����������������������������������petgraph-0.6.4/tests/graphmap.rs��������������������������������������������������������������������0000644�0000000�0000000�00000024301�10461020230�0014754�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![cfg(feature = "graphmap")] extern crate petgraph; use std::collections::HashSet; use std::fmt; use petgraph::prelude::*; use petgraph::visit::Walker; use petgraph::algo::dijkstra; use petgraph::dot::{Config, Dot}; #[test] fn simple() { //let root = TypedArena::<Node<_>>::new(); let mut gr = UnGraphMap::new(); //let node = |&: name: &'static str| Ptr(root.alloc(Node(name.to_string()))); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); gr.add_edge(a, b, 7); gr.add_edge(a, c, 9); gr.add_edge(a, d, 14); gr.add_edge(b, c, 10); gr.add_edge(c, d, 2); gr.add_edge(d, e, 9); gr.add_edge(b, f, 15); gr.add_edge(c, f, 11); assert!(gr.add_edge(e, f, 5).is_none()); // duplicate edges assert_eq!(gr.add_edge(f, b, 16), Some(15)); assert_eq!(gr.add_edge(f, e, 6), Some(5)); println!("{:?}", gr); println!("{}", Dot::with_config(&gr, &[])); assert_eq!(gr.node_count(), 6); assert_eq!(gr.edge_count(), 9); // check updated edge weight assert_eq!(gr.edge_weight(e, f), Some(&6)); let scores = dijkstra(&gr, a, None, |e| *e.weight()); let mut scores: Vec<_> = scores.into_iter().collect(); scores.sort(); assert_eq!( scores, vec![ ("A", 0), ("B", 7), ("C", 9), ("D", 11), ("E", 20), ("F", 20) ] ); } #[test] fn edges_directed() { let mut gr = DiGraphMap::new(); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let f = gr.add_node("F"); gr.add_edge(a, b, 7); gr.add_edge(a, c, 9); gr.add_edge(a, d, 14); gr.add_edge(b, c, 10); gr.add_edge(c, d, 2); gr.add_edge(d, e, 9); gr.add_edge(b, f, 15); gr.add_edge(c, f, 11); let mut edges_out = gr.edges_directed(c, Direction::Outgoing); assert_eq!(edges_out.next(), Some((c, d, &2))); assert_eq!(edges_out.next(), Some((c, f, &11))); assert_eq!(edges_out.next(), None); let mut edges_in = gr.edges_directed(c, Direction::Incoming); assert_eq!(edges_in.next(), Some((a, c, &9))); assert_eq!(edges_in.next(), Some((b, c, &10))); assert_eq!(edges_in.next(), None); } #[test] fn remov() { let mut g = UnGraphMap::new(); g.add_node(1); g.add_node(2); g.add_edge(1, 2, -1); assert_eq!(g.edge_weight(1, 2), Some(&-1)); assert_eq!(g.edge_weight(2, 1), Some(&-1)); assert_eq!(g.neighbors(1).count(), 1); let noexist = g.remove_edge(2, 3); assert_eq!(noexist, None); let exist = g.remove_edge(2, 1); assert_eq!(exist, Some(-1)); assert_eq!(g.edge_count(), 0); assert_eq!(g.edge_weight(1, 2), None); assert_eq!(g.edge_weight(2, 1), None); assert_eq!(g.neighbors(1).count(), 0); } #[test] fn remove_node() { // From #431 let mut graph = petgraph::graphmap::DiGraphMap::<u32, ()>::new(); graph.add_edge(1, 2, ()); graph.remove_node(2); let neighbors: Vec<u32> = graph.neighbors(1).collect(); assert_eq!(neighbors, []); let edges: Vec<(u32, u32, _)> = graph.all_edges().collect(); assert_eq!(edges, []); } #[test] fn remove_directed() { let mut g = GraphMap::<_, _, Directed>::with_capacity(0, 0); g.add_edge(1, 2, -1); println!("{:?}", g); assert_eq!(g.edge_weight(1, 2), Some(&-1)); assert_eq!(g.edge_weight(2, 1), None); assert_eq!(g.neighbors(1).count(), 1); let noexist = g.remove_edge(2, 3); assert_eq!(noexist, None); let exist = g.remove_edge(2, 1); assert_eq!(exist, None); let exist = g.remove_edge(1, 2); assert_eq!(exist, Some(-1)); println!("{:?}", g); assert_eq!(g.edge_count(), 0); assert_eq!(g.edge_weight(1, 2), None); assert_eq!(g.edge_weight(2, 1), None); assert_eq!(g.neighbors(1).count(), 0); } #[test] fn dfs() { let mut gr = UnGraphMap::default(); let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); let k = gr.add_node("K"); // Z is disconnected. let z = gr.add_node("Z"); gr.add_edge(h, i, 1.); gr.add_edge(h, j, 3.); gr.add_edge(i, j, 1.); gr.add_edge(i, k, 2.); println!("{:?}", gr); { let mut cnt = 0; let mut dfs = Dfs::new(&gr, h); while let Some(_) = dfs.next(&gr) { cnt += 1; } assert_eq!(cnt, 4); } { let mut cnt = 0; let mut dfs = Dfs::new(&gr, z); while let Some(_) = dfs.next(&gr) { cnt += 1; } assert_eq!(cnt, 1); } assert_eq!(Dfs::new(&gr, h).iter(&gr).count(), 4); assert_eq!(Dfs::new(&gr, i).iter(&gr).count(), 4); assert_eq!(Dfs::new(&gr, z).iter(&gr).count(), 1); } #[test] fn edge_iterator() { let mut gr = UnGraphMap::new(); let h = gr.add_node("H"); let i = gr.add_node("I"); let j = gr.add_node("J"); let k = gr.add_node("K"); gr.add_edge(h, i, 1); gr.add_edge(h, j, 2); gr.add_edge(i, j, 3); gr.add_edge(i, k, 4); let real_edges: HashSet<_> = gr.all_edges().map(|(a, b, &w)| (a, b, w)).collect(); let expected_edges: HashSet<_> = vec![("H", "I", 1), ("H", "J", 2), ("I", "J", 3), ("I", "K", 4)] .into_iter() .collect(); assert_eq!(real_edges, expected_edges); } #[test] fn from_edges() { let gr = GraphMap::<_, _, Undirected>::from_edges(&[("a", "b", 1), ("a", "c", 2), ("c", "d", 3)]); assert_eq!(gr.node_count(), 4); assert_eq!(gr.edge_count(), 3); assert_eq!(gr[("a", "c")], 2); let gr = GraphMap::<_, (), Undirected>::from_edges(&[ (0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3), ]); assert_eq!(gr.node_count(), 4); assert_eq!(gr.edge_count(), 6); assert_eq!(gr.neighbors(0).count(), 3); assert_eq!(gr.neighbors(1).count(), 3); assert_eq!(gr.neighbors(2).count(), 3); assert_eq!(gr.neighbors(3).count(), 3); println!("{:?}", Dot::with_config(&gr, &[Config::EdgeNoLabel])); } #[test] fn graphmap_directed() { //let root = TypedArena::<Node<_>>::new(); let mut gr = DiGraphMap::<_, ()>::with_capacity(0, 0); //let node = |&: name: &'static str| Ptr(root.alloc(Node(name.to_string()))); let a = gr.add_node("A"); let b = gr.add_node("B"); let c = gr.add_node("C"); let d = gr.add_node("D"); let e = gr.add_node("E"); let edges = [(a, b), (a, c), (a, d), (b, c), (c, d), (d, e), (b, b)]; gr.extend(&edges); // Add reverse edges -- ok! assert!(gr.add_edge(e, d, ()).is_none()); // duplicate edge - no assert!(!gr.add_edge(a, b, ()).is_none()); // duplicate self loop - no assert!(!gr.add_edge(b, b, ()).is_none()); println!("{:#?}", gr); } fn assert_sccs_eq<N>(mut res: Vec<Vec<N>>, mut answer: Vec<Vec<N>>) where N: Ord + fmt::Debug, { // normalize the result and compare with the answer. for scc in &mut res { scc.sort(); } res.sort(); for scc in &mut answer { scc.sort(); } answer.sort(); assert_eq!(res, answer); } #[test] fn scc() { let gr: GraphMap<_, u32, Directed> = GraphMap::from_edges(&[ (6, 0, 0), (0, 3, 1), (3, 6, 2), (8, 6, 3), (8, 2, 4), (2, 5, 5), (5, 8, 6), (7, 5, 7), (1, 7, 8), (7, 4, 9), (4, 1, 10), ]); assert_sccs_eq( petgraph::algo::kosaraju_scc(&gr), vec![vec![0, 3, 6], vec![1, 4, 7], vec![2, 5, 8]], ); } #[test] fn test_into_graph() { let gr: GraphMap<_, u32, Directed> = GraphMap::from_edges(&[ (6, 0, 0), (0, 3, 1), (3, 6, 2), (8, 6, 3), (8, 2, 4), (2, 5, 5), (5, 8, 6), (7, 5, 7), (1, 7, 8), (7, 4, 9), (4, 1, 10), ]); let graph: Graph<_, _, _> = gr.clone().into_graph(); println!("{}", Dot::new(&gr)); println!("{}", Dot::new(&graph)); // node weigths in `graph` are node identifiers in `gr`. for edge in graph.edge_references() { let a = edge.source(); let b = edge.target(); let aw = graph[a]; let bw = graph[b]; assert_eq!(&gr[(aw, bw)], edge.weight()); } } #[test] fn test_from_graph() { let mut gr: Graph<u32, u32, Directed> = Graph::new(); let node_a = gr.add_node(12); let node_b = gr.add_node(13); let node_c = gr.add_node(14); gr.add_edge(node_a, node_b, 1000); gr.add_edge(node_b, node_c, 999); gr.add_edge(node_c, node_a, 1111); gr.add_node(42); let gr = gr; let graph: GraphMap<u32, u32, Directed> = GraphMap::from_graph(gr.clone()); println!("{}", Dot::new(&gr)); println!("{}", Dot::new(&graph)); assert!(petgraph::algo::is_isomorphic(&gr, &graph)); assert_eq!(graph[(12, 13)], 1000); } #[test] fn test_all_edges_mut() { // graph with edge weights equal to in+out let mut graph: GraphMap<_, u32, Directed> = GraphMap::from_edges(&[(0, 1, 1), (1, 2, 3), (2, 0, 2)]); // change it so edge weight is equal to 2 * (in+out) for (start, end, weight) in graph.all_edges_mut() { *weight = (start + end) * 2; } // test it for (start, end, weight) in graph.all_edges() { assert_eq!((start + end) * 2, *weight); } } #[test] fn neighbors_incoming_includes_self_loops() { let mut graph = DiGraphMap::new(); graph.add_node(()); graph.add_edge((), (), ()); let mut neighbors = graph.neighbors_directed((), Incoming); assert_eq!(neighbors.next(), Some(())); assert_eq!(neighbors.next(), None); } #[test] fn undirected_neighbors_includes_self_loops() { let mut graph = UnGraphMap::new(); graph.add_node(()); graph.add_edge((), (), ()); let mut neighbors = graph.neighbors(()); assert_eq!(neighbors.next(), Some(())); assert_eq!(neighbors.next(), None); } #[test] fn self_loops_can_be_removed() { let mut graph = DiGraphMap::new(); graph.add_node(()); graph.add_edge((), (), ()); graph.remove_edge((), ()); assert_eq!(graph.neighbors_directed((), Outgoing).next(), None); assert_eq!(graph.neighbors_directed((), Incoming).next(), None); } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/iso.rs�������������������������������������������������������������������������0000644�0000000�0000000�00000043334�10461020230�0013756�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������extern crate petgraph; use std::collections::HashSet; use std::fs::File; use std::io::prelude::*; use petgraph::graph::{edge_index, node_index}; use petgraph::prelude::*; use petgraph::EdgeType; use petgraph::algo::{ is_isomorphic, is_isomorphic_matching, is_isomorphic_subgraph, subgraph_isomorphisms_iter, }; /// Petersen A and B are isomorphic /// /// http://www.dharwadker.org/tevet/isomorphism/ const PETERSEN_A: &str = " 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 "; const PETERSEN_B: &str = " 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 "; /// An almost full set, isomorphic const FULL_A: &str = " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 "; const FULL_B: &str = " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 "; /// Praust A and B are not isomorphic const PRAUST_A: &str = " 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 "; const PRAUST_B: &str = " 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 "; const G1U: &str = " 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 "; const G2U: &str = " 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 "; const G4U: &str = " 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 "; const G1D: &str = " 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 "; const G4D: &str = " 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 "; // G8 1,2 are not iso const G8_1: &str = " 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 "; const G8_2: &str = " 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 "; // G3 1,2 are not iso const G3_1: &str = " 0 1 0 1 0 1 0 1 0 "; const G3_2: &str = " 0 1 1 1 0 1 1 1 0 "; // Non-isomorphic due to selfloop difference const S1: &str = " 1 1 1 1 0 1 1 0 0 "; const S2: &str = " 1 1 1 0 1 1 1 0 0 "; /// Parse a text adjacency matrix format into a directed graph fn parse_graph<Ty: EdgeType>(s: &str) -> Graph<(), (), Ty> { let mut gr = Graph::with_capacity(0, 0); let s = s.trim(); let lines = s.lines().filter(|l| !l.is_empty()); for (row, line) in lines.enumerate() { for (col, word) in line.split(' ').filter(|s| !s.is_empty()).enumerate() { let has_edge = word.parse::<i32>().unwrap(); assert!(has_edge == 0 || has_edge == 1); if has_edge == 0 { continue; } while col >= gr.node_count() || row >= gr.node_count() { gr.add_node(()); } gr.update_edge(node_index(row), node_index(col), ()); } } gr } fn str_to_graph(s: &str) -> Graph<(), (), Undirected> { parse_graph(s) } fn str_to_digraph(s: &str) -> Graph<(), (), Directed> { parse_graph(s) } /// Parse a file in adjacency matrix format into a directed graph fn graph_from_file(path: &str) -> Graph<(), (), Directed> { let mut f = File::open(path).expect("file not found"); let mut contents = String::new(); f.read_to_string(&mut contents) .expect("failed to read from file"); parse_graph(&contents) } /* fn graph_to_ad_matrix<N, E, Ty: EdgeType>(g: &Graph<N,E,Ty>) { let n = g.node_count(); for i in (0..n) { for j in (0..n) { let ix = NodeIndex::new(i); let jx = NodeIndex::new(j); let out = match g.find_edge(ix, jx) { None => "0", Some(_) => "1", }; print!("{} ", out); } println!(""); } } */ #[test] fn petersen_iso() { // The correct isomorphism is // 0 => 0, 1 => 3, 2 => 1, 3 => 4, 5 => 2, 6 => 5, 7 => 7, 8 => 6, 9 => 8, 4 => 9 let peta = str_to_digraph(PETERSEN_A); let petb = str_to_digraph(PETERSEN_B); /* println!("{:?}", peta); graph_to_ad_matrix(&peta); println!(""); graph_to_ad_matrix(&petb); */ assert!(petgraph::algo::is_isomorphic(&peta, &petb)); } #[test] fn petersen_undir_iso() { // The correct isomorphism is // 0 => 0, 1 => 3, 2 => 1, 3 => 4, 5 => 2, 6 => 5, 7 => 7, 8 => 6, 9 => 8, 4 => 9 let peta = str_to_digraph(PETERSEN_A); let petb = str_to_digraph(PETERSEN_B); assert!(petgraph::algo::is_isomorphic(&peta, &petb)); } #[test] fn full_iso() { let a = str_to_graph(FULL_A); let b = str_to_graph(FULL_B); assert!(petgraph::algo::is_isomorphic(&a, &b)); } #[test] #[cfg_attr(miri, ignore = "Takes too long to run in Miri")] fn praust_dir_no_iso() { let a = str_to_digraph(PRAUST_A); let b = str_to_digraph(PRAUST_B); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] #[cfg_attr(miri, ignore = "Takes too long to run in Miri")] fn praust_undir_no_iso() { let a = str_to_graph(PRAUST_A); let b = str_to_graph(PRAUST_B); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn coxeter_di_iso() { // The correct isomorphism is let a = str_to_digraph(COXETER_A); let b = str_to_digraph(COXETER_B); assert!(petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn coxeter_undi_iso() { // The correct isomorphism is let a = str_to_graph(COXETER_A); let b = str_to_graph(COXETER_B); assert!(petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn g14_dir_not_iso() { let a = str_to_digraph(G1D); let b = str_to_digraph(G4D); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn g14_undir_not_iso() { let a = str_to_digraph(G1U); let b = str_to_digraph(G4U); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn g12_undir_iso() { let a = str_to_digraph(G1U); let b = str_to_digraph(G2U); assert!(petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn g3_not_iso() { let a = str_to_digraph(G3_1); let b = str_to_digraph(G3_2); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn g8_not_iso() { let a = str_to_digraph(G8_1); let b = str_to_digraph(G8_2); assert_eq!(a.edge_count(), b.edge_count()); assert_eq!(a.node_count(), b.node_count()); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn s12_not_iso() { let a = str_to_digraph(S1); let b = str_to_digraph(S2); assert_eq!(a.edge_count(), b.edge_count()); assert_eq!(a.node_count(), b.node_count()); assert!(!petgraph::algo::is_isomorphic(&a, &b)); } #[test] fn iso1() { let mut g0 = Graph::<_, ()>::new(); let mut g1 = Graph::<_, ()>::new(); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); // very simple cases let a0 = g0.add_node(0); let a1 = g1.add_node(0); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); let b0 = g0.add_node(1); let b1 = g1.add_node(1); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); let _ = g0.add_node(2); assert!(!petgraph::algo::is_isomorphic(&g0, &g1)); let _ = g1.add_node(2); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); g0.add_edge(a0, b0, ()); assert!(!petgraph::algo::is_isomorphic(&g0, &g1)); g1.add_edge(a1, b1, ()); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); } #[test] fn iso2() { let mut g0 = Graph::<_, ()>::new(); let mut g1 = Graph::<_, ()>::new(); let a0 = g0.add_node(0); let a1 = g1.add_node(0); let b0 = g0.add_node(1); let b1 = g1.add_node(1); let c0 = g0.add_node(2); let c1 = g1.add_node(2); g0.add_edge(a0, b0, ()); g1.add_edge(c1, b1, ()); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); // a -> b // a -> c // vs. // c -> b // c -> a g0.add_edge(a0, c0, ()); g1.add_edge(c1, a1, ()); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); // add // b -> c // vs // b -> a let _ = g0.add_edge(b0, c0, ()); let _ = g1.add_edge(b1, a1, ()); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); let d0 = g0.add_node(3); let d1 = g1.add_node(3); let e0 = g0.add_node(4); let e1 = g1.add_node(4); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); // add // b -> e -> d // vs // b -> d -> e g0.add_edge(b0, e0, ()); g0.add_edge(e0, d0, ()); g1.add_edge(b1, d1, ()); g1.add_edge(d1, e1, ()); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); } #[test] fn iso_matching() { let g0 = Graph::<(), _>::from_edges(&[(0, 0, 1), (0, 1, 2), (0, 2, 3), (1, 2, 4)]); let mut g1 = g0.clone(); g1[edge_index(0)] = 0; assert!(!is_isomorphic_matching( &g0, &g1, |x, y| x == y, |x, y| x == y )); let mut g2 = g0.clone(); g2[edge_index(1)] = 0; assert!(!is_isomorphic_matching( &g0, &g2, |x, y| x == y, |x, y| x == y )); } #[test] fn iso_100n_100e() { let g0 = str_to_digraph(include_str!("res/graph_100n_100e.txt")); let g1 = str_to_digraph(include_str!("res/graph_100n_100e_iso.txt")); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); } #[test] #[cfg_attr(miri, ignore = "Too large for Miri")] fn iso_large() { let g0 = graph_from_file("tests/res/graph_1000n_1000e.txt"); let g1 = graph_from_file("tests/res/graph_1000n_1000e.txt"); assert!(petgraph::algo::is_isomorphic(&g0, &g1)); } // isomorphism isn't correct for multigraphs. // Keep this testcase to document how #[should_panic] #[test] fn iso_multigraph_failure() { let g0 = Graph::<(), ()>::from_edges(&[(0, 0), (0, 0), (0, 1), (1, 1), (1, 1), (1, 0)]); let g1 = Graph::<(), ()>::from_edges(&[(0, 0), (0, 1), (0, 1), (1, 1), (1, 0), (1, 0)]); assert!(!is_isomorphic(&g0, &g1)); } #[test] #[cfg_attr(miri, ignore = "Takes too long to run in Miri")] fn iso_subgraph() { let g0 = Graph::<(), ()>::from_edges(&[(0, 1), (1, 2), (2, 0)]); let g1 = Graph::<(), ()>::from_edges(&[(0, 1), (1, 2), (2, 0), (2, 3), (0, 4)]); assert!(!is_isomorphic(&g0, &g1)); assert!(is_isomorphic_subgraph(&g0, &g1)); } #[test] #[cfg_attr(miri, ignore = "Takes too long to run in Miri")] fn iter_subgraph() { let a = Graph::<(), ()>::from_edges(&[(0, 1), (1, 2), (2, 0)]); let b = Graph::<(), ()>::from_edges(&[(0, 1), (1, 2), (2, 0), (2, 3), (0, 4)]); let a_ref = &a; let b_ref = &b; let mut node_match = { |x: &(), y: &()| x == y }; let mut edge_match = { |x: &(), y: &()| x == y }; let mappings = subgraph_isomorphisms_iter(&a_ref, &b_ref, &mut node_match, &mut edge_match).unwrap(); // Verify the iterator returns the expected mappings let expected_mappings: Vec<Vec<usize>> = vec![vec![0, 1, 2], vec![1, 2, 0], vec![2, 0, 1]]; for mapping in mappings { assert!(expected_mappings.contains(&mapping)) } // Verify all the mappings from the iterator are different let a = str_to_digraph(COXETER_A); let b = str_to_digraph(COXETER_B); let a_ref = &a; let b_ref = &b; let mut unique = HashSet::new(); assert!( subgraph_isomorphisms_iter(&a_ref, &b_ref, &mut node_match, &mut edge_match) .unwrap() .all(|x| unique.insert(x)) ); // The iterator should return None for graphs that are not isomorphic let a = str_to_digraph(G8_1); let b = str_to_digraph(G8_2); let a_ref = &a; let b_ref = &b; assert!( subgraph_isomorphisms_iter(&a_ref, &b_ref, &mut node_match, &mut edge_match) .unwrap() .next() .is_none() ); // https://github.com/petgraph/petgraph/issues/534 let mut g = Graph::<String, ()>::new(); let e1 = g.add_node("l1".to_string()); let e2 = g.add_node("l2".to_string()); g.add_edge(e1, e2, ()); let e3 = g.add_node("l3".to_string()); g.add_edge(e2, e3, ()); let e4 = g.add_node("l4".to_string()); g.add_edge(e3, e4, ()); let mut sub = Graph::<String, ()>::new(); let e3 = sub.add_node("l3".to_string()); let e4 = sub.add_node("l4".to_string()); sub.add_edge(e3, e4, ()); let mut node_match = { |x: &String, y: &String| x == y }; let mut edge_match = { |x: &(), y: &()| x == y }; assert_eq!( subgraph_isomorphisms_iter(&&sub, &&g, &mut node_match, &mut edge_match) .unwrap() .collect::<Vec<_>>(), vec![vec![2, 3]] ); } /// Isomorphic pair const COXETER_A: &str = " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 "; const COXETER_B: &str = " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 "; ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/k_shortest_path.rs�������������������������������������������������������������0000644�0000000�0000000�00000002441�10461020230�0016357�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use petgraph::algo::k_shortest_path; use petgraph::prelude::*; use petgraph::Graph; use std::collections::HashMap; #[test] fn second_shortest_path() { let mut graph: Graph<(), (), Directed> = Graph::new(); let a = graph.add_node(()); let b = graph.add_node(()); let c = graph.add_node(()); let d = graph.add_node(()); let e = graph.add_node(()); let f = graph.add_node(()); let g = graph.add_node(()); let h = graph.add_node(()); let i = graph.add_node(()); let j = graph.add_node(()); let k = graph.add_node(()); let l = graph.add_node(()); let m = graph.add_node(()); graph.extend_with_edges(&[ (a, b), (b, c), (c, d), (b, f), (f, g), (c, g), (g, h), (d, e), (e, h), (h, i), (h, j), (h, k), (h, l), (i, m), (l, k), (j, k), (j, m), (k, m), (l, m), (m, e), ]); let res = k_shortest_path(&graph, a, None, 2, |_| 1); let expected_res: HashMap<NodeIndex, usize> = [ (e, 7), (g, 3), (h, 4), (i, 5), (j, 5), (k, 5), (l, 5), (m, 6), ] .iter() .cloned() .collect(); assert_eq!(res, expected_res); } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/list.rs������������������������������������������������������������������������0000644�0000000�0000000�00000013620�10461020230�0014132�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������extern crate itertools; extern crate petgraph; #[macro_use] extern crate defmac; use petgraph::adj::DefaultIx; use petgraph::adj::IndexType; use petgraph::adj::{List, UnweightedList}; use petgraph::algo::tarjan_scc; use petgraph::data::{DataMap, DataMapMut}; use petgraph::dot::Dot; use petgraph::prelude::*; use petgraph::visit::{ IntoEdgeReferences, IntoEdges, IntoNeighbors, IntoNodeReferences, NodeCount, NodeIndexable, }; use itertools::assert_equal; fn n(x: u32) -> DefaultIx { DefaultIx::new(x as _) } #[test] fn node_indices() { let mut g = List::<()>::new(); let a = g.add_node(); let b = g.add_node(); let c = g.add_node(); let mut iter = g.node_indices(); assert_eq!(iter.next(), Some(a)); assert_eq!(iter.next(), Some(b)); assert_eq!(iter.next(), Some(c)); assert_eq!(iter.next(), None); } fn test_node_count<E>(g: &List<E>, n: usize) { assert_eq!(n, g.node_count()); assert_eq!(g.node_bound(), n); assert_eq!(g.node_indices().count(), n); assert_eq!(g.node_indices().len(), n); assert_eq!(g.node_references().count(), n); assert_eq!(g.node_references().len(), n); } #[test] fn node_bound() { let mut g = List::<()>::new(); test_node_count(&g, 0); for i in 0..10 { g.add_node(); test_node_count(&g, i + 1); } g.clear(); test_node_count(&g, 0); } fn assert_sccs_eq<Ix: IndexType>(mut res: Vec<Vec<Ix>>, normalized: Vec<Vec<Ix>>) { // normalize the result and compare with the answer. for scc in &mut res { scc.sort(); } // sort by minimum element res.sort_by(|v, w| v[0].cmp(&w[0])); assert_eq!(res, normalized); } fn scc_graph() -> UnweightedList<DefaultIx> { let mut gr = List::new(); for _ in 0..9 { gr.add_node(); } for (a, b) in &[ (6, 0), (0, 3), (3, 6), (8, 6), (8, 2), (2, 5), (5, 8), (7, 5), (1, 7), ] { gr.add_edge(n(*a), n(*b), ()); } // make an identical replacement of n(4) and leave a hole let x = gr.add_node(); gr.add_edge(n(7), x, ()); gr.add_edge(x, n(1), ()); gr } #[test] fn test_tarjan_scc() { let gr = scc_graph(); let x = n(gr.node_bound() as u32 - 1); assert_sccs_eq( tarjan_scc(&gr), vec![ vec![n(0), n(3), n(6)], vec![n(1), n(7), x], vec![n(2), n(5), n(8)], vec![n(4)], ], ); } fn make_graph() -> List<i32> { let mut gr = List::new(); let mut c = 0..; let mut e = || -> i32 { c.next().unwrap() }; for _ in 0..=9 { gr.add_node(); } for &(from, to) in &[ (6, 0), (0, 3), (3, 6), (8, 6), (8, 2), (2, 5), (5, 8), (7, 5), (1, 7), (7, 9), (8, 6), // parallel edge (9, 1), (9, 9), (9, 9), ] { gr.add_edge(n(from), n(to), e()); } gr } defmac!(edges ref gr, x => gr.edges(x).map(|r| (r.target(), *r.weight()))); #[test] fn test_edges_directed() { let gr = make_graph(); dbg!(&gr); let x = n(9); assert_equal(edges!(&gr, x), vec![(1, 11), (x, 12), (x, 13)]); assert_equal(edges!(&gr, n(0)), vec![(n(3), 1)]); //assert_equal(edges!(&gr, n(4)), vec![]); } #[test] fn test_edge_references() { let mut gr = make_graph(); assert_eq!(gr.edge_count(), gr.edge_references().count()); for i in gr.edge_references() { assert_eq!(gr.edge_endpoints(i.id()), Some((i.source(), i.target()))); assert_eq!(gr.edge_weight(i.id()), Some(i.weight())); } for n in gr.node_indices() { for e in gr.edge_indices_from(n) { match gr.edge_weight_mut(e) { None => {} Some(r) => { *r = 1; } } } } for i in gr.edge_references() { assert_eq!(*i.weight(), 1); } } #[test] fn test_edge_iterators() { let gr = make_graph(); for i in gr.node_indices() { itertools::assert_equal( gr.neighbors(n(i)), gr.edges(n(i)).map(|r| { assert_eq!(r.source(), n(i)); r.target() }), ); } } #[test] #[should_panic(expected = "is not a valid node")] fn add_edge_vacant() { let mut g = List::new(); let a: DefaultIx = g.add_node(); let b = g.add_node(); let _ = g.add_node(); g.clear(); g.add_edge(a, b, 1); } #[test] #[should_panic(expected = "is not a valid node")] fn add_edge_oob() { let mut g = List::new(); let a = g.add_node(); let _ = g.add_node(); let _ = g.add_node(); g.add_edge(a, n(4), 1); } #[test] #[should_panic(expected = "index out of bounds")] fn add_edge_oob_2() { let mut g = List::new(); let a = g.add_node(); let _ = g.add_node(); let _ = g.add_node(); g.add_edge(n(4), a, 1); } #[test] fn test_node_references() { let gr = scc_graph(); itertools::assert_equal(gr.node_references(), gr.node_indices()); } #[test] fn iterators_undir() { let mut g = List::with_capacity(2); let a = g.add_node(); let b = g.add_node(); let c = g.add_node(); let d = g.add_node(); for &(from, to, w) in &[(a, b, 1), (a, c, 2), (b, c, 3), (c, c, 4), (a, d, 5)] { g.add_edge(n(from), n(to), w); } itertools::assert_equal(g.neighbors(a), vec![b, c, d]); itertools::assert_equal(g.neighbors(c), vec![c]); itertools::assert_equal(g.neighbors(d), vec![]); itertools::assert_equal(g.neighbors(b), vec![c]); } #[test] fn dot() { let mut gr = List::new(); let a: DefaultIx = gr.add_node(); let b = gr.add_node(); gr.add_edge(a, a, 10u8); gr.add_edge(a, b, 20); let dot_output = format!("{:?}", Dot::new(&gr)); assert_eq!( dot_output, r#"digraph { 0 [ label = "()" ] 1 [ label = "()" ] 0 -> 0 [ label = "10" ] 0 -> 1 [ label = "20" ] } "# ); } ����������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/matching.rs��������������������������������������������������������������������0000644�0000000�0000000�00000007725�10461020230�0014762�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use std::collections::HashSet; use std::hash::Hash; use petgraph::algo::{greedy_matching, maximum_matching}; use petgraph::prelude::*; macro_rules! assert_one_of { ($actual:expr, [$($expected:expr),+]) => { let expected = &[$($expected),+]; if !expected.iter().any(|expected| expected == &$actual) { let expected = expected.iter().map(|e| format!("\n{:?}", e)).collect::<Vec<_>>(); let comma_separated = expected.join(", "); panic!("assertion failed: `actual does not equal to any of expected`\nactual:\n{:?}\nexpected:{}", $actual, comma_separated); } }; } macro_rules! set { () => { HashSet::new() }; ($(($source:expr, $target:expr)),+) => { { let mut set = HashSet::new(); $( set.insert(($source.into(), $target.into())); )* set } }; ($($elem:expr),+) => { { let mut set = HashSet::new(); $( set.insert($elem.into()); )* set } }; } // So we don't have to type `.collect::<HashSet<_>>`. fn collect<'a, T: Copy + Eq + Hash + 'a>(iter: impl Iterator<Item = T>) -> HashSet<T> { iter.collect() } #[test] fn greedy_empty() { let g: UnGraph<(), ()> = UnGraph::default(); let m = greedy_matching(&g); assert_eq!(collect(m.edges()), set![]); assert_eq!(collect(m.nodes()), set![]); } #[test] fn greedy_disjoint() { let g: UnGraph<(), ()> = UnGraph::from_edges(&[(0, 1), (2, 3)]); let m = greedy_matching(&g); assert_eq!(collect(m.edges()), set![(0, 1), (2, 3)]); assert_eq!(collect(m.nodes()), set![0, 1, 2, 3]); } #[test] fn greedy_odd_path() { let g: UnGraph<(), ()> = UnGraph::from_edges(&[(0, 1), (1, 2), (2, 3)]); let m = greedy_matching(&g); assert_one_of!(collect(m.edges()), [set![(0, 1), (2, 3)], set![(1, 2)]]); assert_one_of!(collect(m.nodes()), [set![0, 1, 2, 3], set![1, 2]]); } #[test] fn greedy_star() { let g: UnGraph<(), ()> = UnGraph::from_edges(&[(0, 1), (0, 2), (0, 3)]); let m = greedy_matching(&g); assert_one_of!( collect(m.edges()), [set![(0, 1)], set![(0, 2)], set![(0, 3)]] ); assert_one_of!(collect(m.nodes()), [set![0, 1], set![0, 2], set![0, 3]]); } #[test] fn maximum_empty() { let g: UnGraph<(), ()> = UnGraph::default(); let m = maximum_matching(&g); assert_eq!(collect(m.edges()), set![]); assert_eq!(collect(m.nodes()), set![]); } #[test] fn maximum_disjoint() { let g: UnGraph<(), ()> = UnGraph::from_edges(&[(0, 1), (2, 3)]); let m = maximum_matching(&g); assert_eq!(collect(m.edges()), set![(0, 1), (2, 3)]); assert_eq!(collect(m.nodes()), set![0, 1, 2, 3]); } #[test] fn maximum_odd_path() { let g: UnGraph<(), ()> = UnGraph::from_edges(&[(0, 1), (1, 2), (2, 3)]); let m = maximum_matching(&g); assert_eq!(collect(m.edges()), set![(0, 1), (2, 3)]); assert_eq!(collect(m.nodes()), set![0, 1, 2, 3]); } #[cfg(feature = "stable_graph")] #[test] fn maximum_in_stable_graph() { let mut g: StableUnGraph<(), ()> = StableUnGraph::from_edges(&[(0, 1), (0, 2), (1, 2), (1, 3), (2, 4), (3, 4), (3, 5)]); // Create a hole by removing node that would otherwise belong to the maximum // matching. g.remove_node(NodeIndex::new(4)); let m = maximum_matching(&g); assert_one_of!( collect(m.edges()), [ set![(0, 1), (3, 5)], set![(0, 2), (1, 3)], set![(0, 2), (3, 5)] ] ); assert_one_of!( collect(m.nodes()), [set![0, 1, 3, 5], set![0, 2, 1, 3], set![0, 2, 3, 5]] ); } #[cfg(feature = "stable_graph")] #[test] fn is_perfect_in_stable_graph() { let mut g: StableUnGraph<(), ()> = StableUnGraph::from_edges(&[(0, 1), (1, 2), (2, 3)]); g.remove_node(NodeIndex::new(0)); g.remove_node(NodeIndex::new(1)); let m = maximum_matching(&g); assert_eq!(m.len(), 1); assert!(m.is_perfect()); } �������������������������������������������petgraph-0.6.4/tests/operator.rs��������������������������������������������������������������������0000644�0000000�0000000�00000002037�10461020230�0015012�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use petgraph::operator::complement; use petgraph::prelude::*; use petgraph::Graph; #[test] fn test_complement() { let mut graph: Graph<(), (), Directed> = Graph::new(); let a = graph.add_node(()); let b = graph.add_node(()); let c = graph.add_node(()); let d = graph.add_node(()); graph.extend_with_edges(&[(a, b), (b, c), (c, d)]); let mut output: Graph<(), (), Directed> = Graph::new(); complement(&graph, &mut output, ()); let mut expected_res: Graph<(), (), Directed> = Graph::new(); let a = expected_res.add_node(()); let b = expected_res.add_node(()); let c = expected_res.add_node(()); let d = expected_res.add_node(()); expected_res.extend_with_edges(&[ (a, c), (a, d), (b, a), (b, d), (c, a), (c, b), (d, a), (d, b), (d, c), ]); for x in graph.node_indices() { for y in graph.node_indices() { assert_eq!(output.contains_edge(x, y), expected_res.contains_edge(x, y)); } } } �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/quickcheck.rs������������������������������������������������������������������0000644�0000000�0000000�00000123703�10461020230�0015275�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![cfg(feature = "quickcheck")] #[macro_use] extern crate quickcheck; extern crate petgraph; extern crate rand; #[macro_use] extern crate defmac; extern crate itertools; extern crate odds; mod utils; use utils::{Small, Tournament}; use odds::prelude::*; use std::collections::HashSet; use std::hash::Hash; use itertools::assert_equal; use itertools::cloned; use quickcheck::{Arbitrary, Gen}; use rand::Rng; use petgraph::algo::{ bellman_ford, condensation, dijkstra, find_negative_cycle, floyd_warshall, greedy_feedback_arc_set, greedy_matching, is_cyclic_directed, is_cyclic_undirected, is_isomorphic, is_isomorphic_matching, k_shortest_path, kosaraju_scc, maximum_matching, min_spanning_tree, tarjan_scc, toposort, Matching, }; use petgraph::data::FromElements; use petgraph::dot::{Config, Dot}; use petgraph::graph::{edge_index, node_index, IndexType}; use petgraph::graphmap::NodeTrait; use petgraph::operator::complement; use petgraph::prelude::*; use petgraph::visit::{ EdgeFiltered, EdgeRef, IntoEdgeReferences, IntoEdges, IntoNeighbors, IntoNodeIdentifiers, IntoNodeReferences, NodeCount, NodeIndexable, Reversed, Topo, VisitMap, Visitable, }; use petgraph::EdgeType; fn mst_graph<N, E, Ty, Ix>(g: &Graph<N, E, Ty, Ix>) -> Graph<N, E, Undirected, Ix> where Ty: EdgeType, Ix: IndexType, N: Clone, E: Clone + PartialOrd, { Graph::from_elements(min_spanning_tree(&g)) } use std::fmt; quickcheck! { fn mst_directed(g: Small<Graph<(), u32>>) -> bool { // filter out isolated nodes let no_singles = g.filter_map( |nx, w| g.neighbors_undirected(nx).next().map(|_| w), |_, w| Some(w)); for i in no_singles.node_indices() { assert!(no_singles.neighbors_undirected(i).count() > 0); } assert_eq!(no_singles.edge_count(), g.edge_count()); let mst = mst_graph(&no_singles); assert!(!is_cyclic_undirected(&mst)); true } } quickcheck! { fn mst_undirected(g: Graph<(), u32, Undirected>) -> bool { // filter out isolated nodes let no_singles = g.filter_map( |nx, w| g.neighbors_undirected(nx).next().map(|_| w), |_, w| Some(w)); for i in no_singles.node_indices() { assert!(no_singles.neighbors_undirected(i).count() > 0); } assert_eq!(no_singles.edge_count(), g.edge_count()); let mst = mst_graph(&no_singles); assert!(!is_cyclic_undirected(&mst)); true } } quickcheck! { fn reverse_undirected(g: Small<UnGraph<(), ()>>) -> bool { let mut h = (*g).clone(); h.reverse(); is_isomorphic(&*g, &h) } } fn assert_graph_consistent<N, E, Ty, Ix>(g: &Graph<N, E, Ty, Ix>) where Ty: EdgeType, Ix: IndexType, { assert_eq!(g.node_count(), g.node_indices().count()); assert_eq!(g.edge_count(), g.edge_indices().count()); for edge in g.raw_edges() { assert!( g.find_edge(edge.source(), edge.target()).is_some(), "Edge not in graph! {:?} to {:?}", edge.source(), edge.target() ); } } #[test] fn reverse_directed() { fn prop<Ty: EdgeType>(mut g: Graph<(), (), Ty>) -> bool { let node_outdegrees = g .node_indices() .map(|i| g.neighbors_directed(i, Outgoing).count()) .collect::<Vec<_>>(); let node_indegrees = g .node_indices() .map(|i| g.neighbors_directed(i, Incoming).count()) .collect::<Vec<_>>(); g.reverse(); let new_outdegrees = g .node_indices() .map(|i| g.neighbors_directed(i, Outgoing).count()) .collect::<Vec<_>>(); let new_indegrees = g .node_indices() .map(|i| g.neighbors_directed(i, Incoming).count()) .collect::<Vec<_>>(); assert_eq!(node_outdegrees, new_indegrees); assert_eq!(node_indegrees, new_outdegrees); assert_graph_consistent(&g); true } quickcheck::quickcheck(prop as fn(Graph<_, _, Directed>) -> bool); } #[test] fn graph_retain_nodes() { fn prop<Ty: EdgeType>(mut g: Graph<i32, i32, Ty>) -> bool { // Remove all negative nodes, these should be randomly spread let og = g.clone(); let nodes = g.node_count(); let num_negs = g.raw_nodes().iter().filter(|n| n.weight < 0).count(); let mut removed = 0; g.retain_nodes(|g, i| { let keep = g[i] >= 0; if !keep { removed += 1; } keep }); let num_negs_post = g.raw_nodes().iter().filter(|n| n.weight < 0).count(); let num_pos_post = g.raw_nodes().iter().filter(|n| n.weight >= 0).count(); assert_eq!(num_negs_post, 0); assert_eq!(removed, num_negs); assert_eq!(num_negs + g.node_count(), nodes); assert_eq!(num_pos_post, g.node_count()); // check against filter_map let filtered = og.filter_map( |_, w| if *w >= 0 { Some(*w) } else { None }, |_, w| Some(*w), ); assert_eq!(g.node_count(), filtered.node_count()); /* println!("Iso of graph with nodes={}, edges={}", g.node_count(), g.edge_count()); */ assert!(is_isomorphic_matching( &filtered, &g, PartialEq::eq, PartialEq::eq )); true } quickcheck::quickcheck(prop as fn(Graph<_, _, Directed>) -> bool); quickcheck::quickcheck(prop as fn(Graph<_, _, Undirected>) -> bool); } #[test] fn graph_retain_edges() { fn prop<Ty: EdgeType>(mut g: Graph<(), i32, Ty>) -> bool { // Remove all negative edges, these should be randomly spread let og = g.clone(); let edges = g.edge_count(); let num_negs = g.raw_edges().iter().filter(|n| n.weight < 0).count(); let mut removed = 0; g.retain_edges(|g, i| { let keep = g[i] >= 0; if !keep { removed += 1; } keep }); let num_negs_post = g.raw_edges().iter().filter(|n| n.weight < 0).count(); let num_pos_post = g.raw_edges().iter().filter(|n| n.weight >= 0).count(); assert_eq!(num_negs_post, 0); assert_eq!(removed, num_negs); assert_eq!(num_negs + g.edge_count(), edges); assert_eq!(num_pos_post, g.edge_count()); if og.edge_count() < 30 { // check against filter_map let filtered = og.filter_map( |_, w| Some(*w), |_, w| if *w >= 0 { Some(*w) } else { None }, ); assert_eq!(g.node_count(), filtered.node_count()); assert!(is_isomorphic(&filtered, &g)); } true } quickcheck::quickcheck(prop as fn(Graph<_, _, Directed>) -> bool); quickcheck::quickcheck(prop as fn(Graph<_, _, Undirected>) -> bool); } #[test] fn stable_graph_retain_edges() { fn prop<Ty: EdgeType>(mut g: StableGraph<(), i32, Ty>) -> bool { // Remove all negative edges, these should be randomly spread let og = g.clone(); let edges = g.edge_count(); let num_negs = g.edge_references().filter(|n| *n.weight() < 0).count(); let mut removed = 0; g.retain_edges(|g, i| { let keep = g[i] >= 0; if !keep { removed += 1; } keep }); let num_negs_post = g.edge_references().filter(|n| *n.weight() < 0).count(); let num_pos_post = g.edge_references().filter(|n| *n.weight() >= 0).count(); assert_eq!(num_negs_post, 0); assert_eq!(removed, num_negs); assert_eq!(num_negs + g.edge_count(), edges); assert_eq!(num_pos_post, g.edge_count()); if og.edge_count() < 30 { // check against filter_map let filtered = og.filter_map( |_, w| Some(*w), |_, w| if *w >= 0 { Some(*w) } else { None }, ); assert_eq!(g.node_count(), filtered.node_count()); } true } quickcheck::quickcheck(prop as fn(StableGraph<_, _, Directed>) -> bool); quickcheck::quickcheck(prop as fn(StableGraph<_, _, Undirected>) -> bool); } #[test] fn isomorphism_1() { // using small weights so that duplicates are likely fn prop<Ty: EdgeType>(g: Small<Graph<i8, i8, Ty>>) -> bool { let mut rng = rand::thread_rng(); // several trials of different isomorphisms of the same graph // mapping of node indices let mut map = g.node_indices().collect::<Vec<_>>(); let mut ng = Graph::<_, _, Ty>::with_capacity(g.node_count(), g.edge_count()); for _ in 0..1 { rng.shuffle(&mut map); ng.clear(); for _ in g.node_indices() { ng.add_node(0); } // Assign node weights for i in g.node_indices() { ng[map[i.index()]] = g[i]; } // Add edges for i in g.edge_indices() { let (s, t) = g.edge_endpoints(i).unwrap(); ng.add_edge(map[s.index()], map[t.index()], g[i]); } if g.node_count() < 20 && g.edge_count() < 50 { assert!(is_isomorphic(&*g, &ng)); } assert!(is_isomorphic_matching( &*g, &ng, PartialEq::eq, PartialEq::eq )); } true } quickcheck::quickcheck(prop::<Undirected> as fn(_) -> bool); quickcheck::quickcheck(prop::<Directed> as fn(_) -> bool); } #[test] fn isomorphism_modify() { // using small weights so that duplicates are likely fn prop<Ty: EdgeType>(g: Small<Graph<i16, i8, Ty>>, node: u8, edge: u8) -> bool { println!("graph {:#?}", g); let mut ng = (*g).clone(); let i = node_index(node as usize); let j = edge_index(edge as usize); if i.index() < g.node_count() { ng[i] = (g[i] == 0) as i16; } if j.index() < g.edge_count() { ng[j] = (g[j] == 0) as i8; } if i.index() < g.node_count() || j.index() < g.edge_count() { assert!(!is_isomorphic_matching( &*g, &ng, PartialEq::eq, PartialEq::eq )); } else { assert!(is_isomorphic_matching( &*g, &ng, PartialEq::eq, PartialEq::eq )); } true } quickcheck::quickcheck(prop::<Undirected> as fn(_, _, _) -> bool); quickcheck::quickcheck(prop::<Directed> as fn(_, _, _) -> bool); } #[test] fn graph_remove_edge() { fn prop<Ty: EdgeType>(mut g: Graph<(), (), Ty>, a: u8, b: u8) -> bool { let a = node_index(a as usize); let b = node_index(b as usize); let edge = g.find_edge(a, b); if !g.is_directed() { assert_eq!(edge.is_some(), g.find_edge(b, a).is_some()); } if let Some(ex) = edge { assert!(g.remove_edge(ex).is_some()); } assert_graph_consistent(&g); assert!(g.find_edge(a, b).is_none()); assert!(g.neighbors(a).find(|x| *x == b).is_none()); if !g.is_directed() { assert!(g.neighbors(b).find(|x| *x == a).is_none()); } true } quickcheck::quickcheck(prop as fn(Graph<_, _, Undirected>, _, _) -> bool); quickcheck::quickcheck(prop as fn(Graph<_, _, Directed>, _, _) -> bool); } #[cfg(feature = "stable_graph")] #[test] fn stable_graph_remove_edge() { fn prop<Ty: EdgeType>(mut g: StableGraph<(), (), Ty>, a: u8, b: u8) -> bool { let a = node_index(a as usize); let b = node_index(b as usize); let edge = g.find_edge(a, b); if !g.is_directed() { assert_eq!(edge.is_some(), g.find_edge(b, a).is_some()); } if let Some(ex) = edge { assert!(g.remove_edge(ex).is_some()); } //assert_graph_consistent(&g); assert!(g.find_edge(a, b).is_none()); assert!(g.neighbors(a).find(|x| *x == b).is_none()); if !g.is_directed() { assert!(g.find_edge(b, a).is_none()); assert!(g.neighbors(b).find(|x| *x == a).is_none()); } true } quickcheck::quickcheck(prop as fn(StableGraph<_, _, Undirected>, _, _) -> bool); quickcheck::quickcheck(prop as fn(StableGraph<_, _, Directed>, _, _) -> bool); } #[cfg(feature = "stable_graph")] #[test] fn stable_graph_add_remove_edges() { fn prop<Ty: EdgeType>(mut g: StableGraph<(), (), Ty>, edges: Vec<(u8, u8)>) -> bool { for &(a, b) in &edges { let a = node_index(a as usize); let b = node_index(b as usize); let edge = g.find_edge(a, b); if edge.is_none() && g.contains_node(a) && g.contains_node(b) { let _index = g.add_edge(a, b, ()); continue; } if !g.is_directed() { assert_eq!(edge.is_some(), g.find_edge(b, a).is_some()); } if let Some(ex) = edge { assert!(g.remove_edge(ex).is_some()); } //assert_graph_consistent(&g); assert!( g.find_edge(a, b).is_none(), "failed to remove edge {:?} from graph {:?}", (a, b), g ); assert!(g.neighbors(a).find(|x| *x == b).is_none()); if !g.is_directed() { assert!(g.find_edge(b, a).is_none()); assert!(g.neighbors(b).find(|x| *x == a).is_none()); } } true } quickcheck::quickcheck(prop as fn(StableGraph<_, _, Undirected>, _) -> bool); quickcheck::quickcheck(prop as fn(StableGraph<_, _, Directed>, _) -> bool); } fn assert_graphmap_consistent<N, E, Ty>(g: &GraphMap<N, E, Ty>) where Ty: EdgeType, N: NodeTrait + fmt::Debug, { for (a, b, _weight) in g.all_edges() { assert!( g.contains_edge(a, b), "Edge not in graph! {:?} to {:?}", a, b ); assert!( g.neighbors(a).find(|x| *x == b).is_some(), "Edge {:?} not in neighbor list for {:?}", (a, b), a ); if !g.is_directed() { assert!( g.neighbors(b).find(|x| *x == a).is_some(), "Edge {:?} not in neighbor list for {:?}", (b, a), b ); } } } #[test] fn graphmap_remove() { fn prop<Ty: EdgeType>(mut g: GraphMap<i8, (), Ty>, a: i8, b: i8) -> bool { //if g.edge_count() > 20 { return true; } assert_graphmap_consistent(&g); let contains = g.contains_edge(a, b); if !g.is_directed() { assert_eq!(contains, g.contains_edge(b, a)); } assert_eq!(g.remove_edge(a, b).is_some(), contains); assert!(!g.contains_edge(a, b) && g.neighbors(a).find(|x| *x == b).is_none()); //(g.is_directed() || g.neighbors(b).find(|x| *x == a).is_none())); assert!(g.remove_edge(a, b).is_none()); assert_graphmap_consistent(&g); true } quickcheck::quickcheck(prop as fn(DiGraphMap<_, _>, _, _) -> bool); quickcheck::quickcheck(prop as fn(UnGraphMap<_, _>, _, _) -> bool); } #[test] fn graphmap_add_remove() { fn prop(mut g: UnGraphMap<i8, ()>, a: i8, b: i8) -> bool { assert_eq!(g.contains_edge(a, b), g.add_edge(a, b, ()).is_some()); g.remove_edge(a, b); !g.contains_edge(a, b) && g.neighbors(a).find(|x| *x == b).is_none() && g.neighbors(b).find(|x| *x == a).is_none() } quickcheck::quickcheck(prop as fn(_, _, _) -> bool); } fn sort_sccs<T: Ord>(v: &mut [Vec<T>]) { for scc in &mut *v { scc.sort(); } v.sort(); } quickcheck! { fn graph_sccs(g: Graph<(), ()>) -> bool { let mut sccs = kosaraju_scc(&g); let mut tsccs = tarjan_scc(&g); sort_sccs(&mut sccs); sort_sccs(&mut tsccs); if sccs != tsccs { println!("{:?}", Dot::with_config(&g, &[Config::EdgeNoLabel, Config::NodeIndexLabel])); println!("Sccs {:?}", sccs); println!("Sccs (Tarjan) {:?}", tsccs); return false; } true } } quickcheck! { fn kosaraju_scc_is_topo_sort(g: Graph<(), ()>) -> bool { let tsccs = kosaraju_scc(&g); let firsts = tsccs.iter().rev().map(|v| v[0]).collect::<Vec<_>>(); subset_is_topo_order(&g, &firsts) } } quickcheck! { fn tarjan_scc_is_topo_sort(g: Graph<(), ()>) -> bool { let tsccs = tarjan_scc(&g); let firsts = tsccs.iter().rev().map(|v| v[0]).collect::<Vec<_>>(); subset_is_topo_order(&g, &firsts) } } quickcheck! { // Reversed edges gives the same sccs (when sorted) fn graph_reverse_sccs(g: Graph<(), ()>) -> bool { let mut sccs = kosaraju_scc(&g); let mut tsccs = kosaraju_scc(Reversed(&g)); sort_sccs(&mut sccs); sort_sccs(&mut tsccs); if sccs != tsccs { println!("{:?}", Dot::with_config(&g, &[Config::EdgeNoLabel, Config::NodeIndexLabel])); println!("Sccs {:?}", sccs); println!("Sccs (Reversed) {:?}", tsccs); return false; } true } } quickcheck! { // Reversed edges gives the same sccs (when sorted) fn graphmap_reverse_sccs(g: DiGraphMap<u16, ()>) -> bool { let mut sccs = kosaraju_scc(&g); let mut tsccs = kosaraju_scc(Reversed(&g)); sort_sccs(&mut sccs); sort_sccs(&mut tsccs); if sccs != tsccs { println!("{:?}", Dot::with_config(&g, &[Config::EdgeNoLabel, Config::NodeIndexLabel])); println!("Sccs {:?}", sccs); println!("Sccs (Reversed) {:?}", tsccs); return false; } true } } #[test] fn graph_condensation_acyclic() { fn prop(g: Graph<(), ()>) -> bool { !is_cyclic_directed(&condensation(g, /* make_acyclic */ true)) } quickcheck::quickcheck(prop as fn(_) -> bool); } #[derive(Debug, Clone)] struct DAG<N: Default + Clone + Send + 'static>(Graph<N, ()>); impl<N: Default + Clone + Send + 'static> Arbitrary for DAG<N> { fn arbitrary<G: Gen>(g: &mut G) -> Self { let nodes = usize::arbitrary(g); if nodes == 0 { return DAG(Graph::with_capacity(0, 0)); } let split = g.gen_range(0., 1.); let max_width = f64::sqrt(nodes as f64) as usize; let tall = (max_width as f64 * split) as usize; let fat = max_width - tall; let edge_prob = 1. - (1. - g.gen_range(0., 1.)) * (1. - g.gen_range(0., 1.)); let edges = ((nodes as f64).powi(2) * edge_prob) as usize; let mut gr = Graph::with_capacity(nodes, edges); let mut nodes = 0; for _ in 0..tall { let cur_nodes = g.gen_range(0, fat); for _ in 0..cur_nodes { gr.add_node(N::default()); } for j in 0..nodes { for k in 0..cur_nodes { if g.gen_range(0., 1.) < edge_prob { gr.add_edge(NodeIndex::new(j), NodeIndex::new(k + nodes), ()); } } } nodes += cur_nodes; } DAG(gr) } // shrink the graph by splitting it in two by a very // simple algorithm, just even and odd node indices fn shrink(&self) -> Box<dyn Iterator<Item = Self>> { let self_ = self.clone(); Box::new((0..2).filter_map(move |x| { let gr = self_.0.filter_map( |i, w| { if i.index() % 2 == x { Some(w.clone()) } else { None } }, |_, w| Some(w.clone()), ); // make sure we shrink if gr.node_count() < self_.0.node_count() { Some(DAG(gr)) } else { None } })) } } fn is_topo_order<N>(gr: &Graph<N, (), Directed>, order: &[NodeIndex]) -> bool { if gr.node_count() != order.len() { println!( "Graph ({}) and count ({}) had different amount of nodes.", gr.node_count(), order.len() ); return false; } // check all the edges of the graph for edge in gr.raw_edges() { let a = edge.source(); let b = edge.target(); let ai = order.find(&a).unwrap(); let bi = order.find(&b).unwrap(); if ai >= bi { println!("{:?} > {:?} ", a, b); return false; } } true } fn subset_is_topo_order<N>(gr: &Graph<N, (), Directed>, order: &[NodeIndex]) -> bool { if gr.node_count() < order.len() { println!( "Graph (len={}) had less nodes than order (len={})", gr.node_count(), order.len() ); return false; } // check all the edges of the graph for edge in gr.raw_edges() { let a = edge.source(); let b = edge.target(); if a == b { continue; } // skip those that are not in the subset let ai = match order.find(&a) { Some(i) => i, None => continue, }; let bi = match order.find(&b) { Some(i) => i, None => continue, }; if ai >= bi { println!("{:?} > {:?} ", a, b); return false; } } true } #[test] fn full_topo() { fn prop(DAG(gr): DAG<()>) -> bool { let order = toposort(&gr, None).unwrap(); is_topo_order(&gr, &order) } quickcheck::quickcheck(prop as fn(_) -> bool); } #[test] fn full_topo_generic() { fn prop_generic(DAG(mut gr): DAG<usize>) -> bool { assert!(!is_cyclic_directed(&gr)); let mut index = 0; let mut topo = Topo::new(&gr); while let Some(nx) = topo.next(&gr) { gr[nx] = index; index += 1; } let mut order = Vec::new(); index = 0; let mut topo = Topo::new(&gr); while let Some(nx) = topo.next(&gr) { order.push(nx); assert_eq!(gr[nx], index); index += 1; } if !is_topo_order(&gr, &order) { println!("{:?}", gr); return false; } { order.clear(); let mut topo = Topo::new(&gr); while let Some(nx) = topo.next(&gr) { order.push(nx); } if !is_topo_order(&gr, &order) { println!("{:?}", gr); return false; } } true } quickcheck::quickcheck(prop_generic as fn(_) -> bool); } quickcheck! { // checks that the distances computed by dijkstra satisfy the triangle // inequality. fn dijkstra_triangle_ineq(g: Graph<u32, u32>, node: usize) -> bool { if g.node_count() == 0 { return true; } let v = node_index(node % g.node_count()); let distances = dijkstra(&g, v, None, |e| *e.weight()); for v2 in distances.keys() { let dv2 = distances[v2]; // triangle inequality: // d(v,u) <= d(v,v2) + w(v2,u) for edge in g.edges(*v2) { let u = edge.target(); let w = edge.weight(); if distances.contains_key(&u) && distances[&u] > dv2 + w { return false; } } } true } } quickcheck! { // checks that the distances computed by k'th shortest path is always greater or equal compared to their dijkstra computation fn k_shortest_path_(g: Graph<u32, u32>, node: usize) -> bool { if g.node_count() == 0 { return true; } let v = node_index(node % g.node_count()); let second_best_distances = k_shortest_path(&g, v, None, 2, |e| *e.weight()); let dijkstra_distances = dijkstra(&g, v, None, |e| *e.weight()); for v in second_best_distances.keys() { if second_best_distances[&v] < dijkstra_distances[&v] { return false; } } true } } quickcheck! { // checks floyd_warshall against dijkstra results fn floyd_warshall_(g: Graph<u32, u32>) -> bool { if g.node_count() == 0 { return true; } let fw_res = floyd_warshall(&g, |e| *e.weight()).unwrap(); for node1 in g.node_identifiers() { let dijkstra_res = dijkstra(&g, node1, None, |e| *e.weight()); for node2 in g.node_identifiers() { // if dijkstra found a path then the results must be same if let Some(distance) = dijkstra_res.get(&node2) { let floyd_distance = fw_res.get(&(node1, node2)).unwrap(); if distance != floyd_distance { return false; } } else { // if there are no path between two nodes then floyd_warshall will return maximum value possible if *fw_res.get(&(node1, node2)).unwrap() != u32::MAX { return false; } } } } true } } quickcheck! { // checks that the complement of the complement is the same as the input if the input does not contain self-loops fn complement_(g: Graph<u32, u32>, _node: usize) -> bool { if g.node_count() == 0 { return true; } for x in g.node_indices() { if g.contains_edge(x, x) { return true; } } let mut complement_graph: Graph<u32, u32> = Graph::new(); let mut result: Graph<u32, u32> = Graph::new(); complement(&g, &mut complement_graph, 0); complement(&complement_graph, &mut result, 0); for x in g.node_indices() { for y in g.node_indices() { if g.contains_edge(x, y) != result.contains_edge(x, y){ return false; } } } true } } fn set<I>(iter: I) -> HashSet<I::Item> where I: IntoIterator, I::Item: Hash + Eq, { iter.into_iter().collect() } quickcheck! { fn dfs_visit(gr: Graph<(), ()>, node: usize) -> bool { use petgraph::visit::{Visitable, VisitMap}; use petgraph::visit::DfsEvent::*; use petgraph::visit::{Time, depth_first_search}; if gr.node_count() == 0 { return true; } let start_node = node_index(node % gr.node_count()); let invalid_time = Time(!0); let mut discover_time = vec![invalid_time; gr.node_count()]; let mut finish_time = vec![invalid_time; gr.node_count()]; let mut has_tree_edge = gr.visit_map(); let mut edges = HashSet::new(); depth_first_search(&gr, Some(start_node).into_iter().chain(gr.node_indices()), |evt| { match evt { Discover(n, t) => discover_time[n.index()] = t, Finish(n, t) => finish_time[n.index()] = t, TreeEdge(u, v) => { // v is an ancestor of u assert!(has_tree_edge.visit(v), "Two tree edges to {:?}!", v); assert!(discover_time[v.index()] == invalid_time); assert!(discover_time[u.index()] != invalid_time); assert!(finish_time[u.index()] == invalid_time); edges.insert((u, v)); } BackEdge(u, v) => { // u is an ancestor of v assert!(discover_time[v.index()] != invalid_time); assert!(finish_time[v.index()] == invalid_time); edges.insert((u, v)); } CrossForwardEdge(u, v) => { edges.insert((u, v)); } } }); assert!(discover_time.iter().all(|x| *x != invalid_time)); assert!(finish_time.iter().all(|x| *x != invalid_time)); assert_eq!(edges.len(), gr.edge_count()); assert_eq!(edges, set(gr.edge_references().map(|e| (e.source(), e.target())))); true } } quickcheck! { fn test_bellman_ford(gr: Graph<(), f32>) -> bool { let mut gr = gr; for elt in gr.edge_weights_mut() { *elt = elt.abs(); } if gr.node_count() == 0 { return true; } for (i, start) in gr.node_indices().enumerate() { if i >= 10 { break; } // testing all is too slow bellman_ford(&gr, start).unwrap(); } true } } quickcheck! { fn test_find_negative_cycle(gr: Graph<(), f32>) -> bool { let gr = gr; if gr.node_count() == 0 { return true; } for (i, start) in gr.node_indices().enumerate() { if i >= 10 { break; } // testing all is too slow if let Some(path) = find_negative_cycle(&gr, start) { assert!(path.len() >= 1); } } true } } quickcheck! { fn test_bellman_ford_undir(gr: Graph<(), f32, Undirected>) -> bool { let mut gr = gr; for elt in gr.edge_weights_mut() { *elt = elt.abs(); } if gr.node_count() == 0 { return true; } for (i, start) in gr.node_indices().enumerate() { if i >= 10 { break; } // testing all is too slow bellman_ford(&gr, start).unwrap(); } true } } defmac!(iter_eq a, b => a.eq(b)); defmac!(nodes_eq ref a, ref b => a.node_references().eq(b.node_references())); defmac!(edgew_eq ref a, ref b => a.edge_references().eq(b.edge_references())); defmac!(edges_eq ref a, ref b => iter_eq!( a.edge_references().map(|e| (e.source(), e.target())), b.edge_references().map(|e| (e.source(), e.target())))); quickcheck! { fn test_di_from(gr1: DiGraph<i32, i32>) -> () { let sgr = StableGraph::from(gr1.clone()); let gr2 = Graph::from(sgr); assert!(nodes_eq!(&gr1, &gr2)); assert!(edgew_eq!(&gr1, &gr2)); assert!(edges_eq!(&gr1, &gr2)); } fn test_un_from(gr1: UnGraph<i32, i32>) -> () { let sgr = StableGraph::from(gr1.clone()); let gr2 = Graph::from(sgr); assert!(nodes_eq!(&gr1, &gr2)); assert!(edgew_eq!(&gr1, &gr2)); assert!(edges_eq!(&gr1, &gr2)); } fn test_graph_from_stable_graph(gr1: StableDiGraph<usize, usize>) -> () { let mut gr1 = gr1; let gr2 = Graph::from(gr1.clone()); // renumber the stablegraph nodes and put the new index in the // associated data let mut index = 0; for i in 0..gr1.node_bound() { let ni = node_index(i); if gr1.contains_node(ni) { gr1[ni] = index; index += 1; } } if let Some(edge_bound) = gr1.edge_references().next_back() .map(|ed| ed.id().index() + 1) { index = 0; for i in 0..edge_bound { let ni = edge_index(i); if gr1.edge_weight(ni).is_some() { gr1[ni] = index; index += 1; } } } assert_equal( // Remap the stablegraph to compact indices gr1.edge_references().map(|ed| (edge_index(*ed.weight()), gr1[ed.source()], gr1[ed.target()])), gr2.edge_references().map(|ed| (ed.id(), ed.source().index(), ed.target().index())) ); } fn stable_di_graph_map_id(gr1: StableDiGraph<usize, usize>) -> () { let gr2 = gr1.map(|_, &nw| nw, |_, &ew| ew); assert!(nodes_eq!(&gr1, &gr2)); assert!(edgew_eq!(&gr1, &gr2)); assert!(edges_eq!(&gr1, &gr2)); } fn stable_un_graph_map_id(gr1: StableUnGraph<usize, usize>) -> () { let gr2 = gr1.map(|_, &nw| nw, |_, &ew| ew); assert!(nodes_eq!(&gr1, &gr2)); assert!(edgew_eq!(&gr1, &gr2)); assert!(edges_eq!(&gr1, &gr2)); } fn stable_di_graph_filter_map_id(gr1: StableDiGraph<usize, usize>) -> () { let gr2 = gr1.filter_map(|_, &nw| Some(nw), |_, &ew| Some(ew)); assert!(nodes_eq!(&gr1, &gr2)); assert!(edgew_eq!(&gr1, &gr2)); assert!(edges_eq!(&gr1, &gr2)); } fn test_stable_un_graph_filter_map_id(gr1: StableUnGraph<usize, usize>) -> () { let gr2 = gr1.filter_map(|_, &nw| Some(nw), |_, &ew| Some(ew)); assert!(nodes_eq!(&gr1, &gr2)); assert!(edgew_eq!(&gr1, &gr2)); assert!(edges_eq!(&gr1, &gr2)); } fn stable_di_graph_filter_map_remove(gr1: Small<StableDiGraph<i32, i32>>, nodes: Vec<usize>, edges: Vec<usize>) -> () { let gr2 = gr1.filter_map(|ix, &nw| { if !nodes.contains(&ix.index()) { Some(nw) } else { None } }, |ix, &ew| { if !edges.contains(&ix.index()) { Some(ew) } else { None } }); let check_nodes = &set(gr1.node_indices()) - &set(cloned(&nodes).map(node_index)); let mut check_edges = &set(gr1.edge_indices()) - &set(cloned(&edges).map(edge_index)); // remove all edges with endpoint in removed nodes for edge in gr1.edge_references() { if nodes.contains(&edge.source().index()) || nodes.contains(&edge.target().index()) { check_edges.remove(&edge.id()); } } // assert maintained for i in check_nodes { assert_eq!(gr1[i], gr2[i]); } for i in check_edges { assert_eq!(gr1[i], gr2[i]); assert_eq!(gr1.edge_endpoints(i), gr2.edge_endpoints(i)); } // assert removals for i in nodes { assert!(gr2.node_weight(node_index(i)).is_none()); } for i in edges { assert!(gr2.edge_weight(edge_index(i)).is_none()); } } } fn naive_closure_foreach<G, F>(g: G, mut f: F) where G: Visitable + IntoNeighbors + IntoNodeIdentifiers, F: FnMut(G::NodeId, G::NodeId), { let mut dfs = Dfs::empty(&g); for i in g.node_identifiers() { dfs.reset(&g); dfs.move_to(i); while let Some(nx) = dfs.next(&g) { if i != nx { f(i, nx); } } } } fn naive_closure<G>(g: G) -> Vec<(G::NodeId, G::NodeId)> where G: Visitable + IntoNodeIdentifiers + IntoNeighbors, { let mut res = Vec::new(); naive_closure_foreach(g, |a, b| res.push((a, b))); res } fn naive_closure_edgecount<G>(g: G) -> usize where G: Visitable + IntoNodeIdentifiers + IntoNeighbors, { let mut res = 0; naive_closure_foreach(g, |_, _| res += 1); res } quickcheck! { fn test_tred(g: DAG<()>) -> bool { let acyclic = g.0; println!("acyclic graph {:#?}", &acyclic); let toposort = toposort(&acyclic, None).unwrap(); println!("Toposort:"); for (new, old) in toposort.iter().enumerate() { println!("{} -> {}", old.index(), new); } let (toposorted, revtopo): (petgraph::adj::List<(), usize>, _) = petgraph::algo::tred::dag_to_toposorted_adjacency_list(&acyclic, &toposort); println!("checking revtopo"); for (i, ix) in toposort.iter().enumerate() { assert_eq!(i, revtopo[ix.index()]); } println!("toposorted adjacency list: {:#?}", &toposorted); let (tred, tclos) = petgraph::algo::tred::dag_transitive_reduction_closure(&toposorted); println!("tred: {:#?}", &tred); println!("tclos: {:#?}", &tclos); if tred.node_count() != tclos.node_count() { println!("Different node count"); return false; } if acyclic.node_count() != tclos.node_count() { println!("Different node count from original graph"); return false; } // check the closure let mut clos_edges: Vec<(_, _)> = tclos.edge_references().map(|i| (i.source(), i.target())).collect(); clos_edges.sort(); let mut tred_closure = naive_closure(&tred); tred_closure.sort(); if tred_closure != clos_edges { println!("tclos is not the transitive closure of tred"); return false } // check the transitive reduction is a transitive reduction for i in tred.edge_references() { let filtered = EdgeFiltered::from_fn(&tred, |edge| { edge.source() !=i.source() || edge.target() != i.target() }); let new = naive_closure_edgecount(&filtered); if new >= clos_edges.len() { println!("when removing ({} -> {}) the transitive closure does not shrink", i.source().index(), i.target().index()); return false } } // check that the transitive reduction is included in the original graph for i in tred.edge_references() { if acyclic.find_edge(toposort[i.source().index()], toposort[i.target().index()]).is_none() { println!("tred is not included in the original graph"); return false } } println!("ok!"); true } } quickcheck! { fn greedy_fas_remaining_graph_is_acyclic(g: StableDiGraph<(), ()>) -> bool { let mut g = g; let fas: Vec<EdgeIndex> = greedy_feedback_arc_set(&g).map(|e| e.id()).collect(); for edge_id in fas { g.remove_edge(edge_id); } !is_cyclic_directed(&g) } /// Assert that the size of the feedback arc set of a tournament does not exceed /// **|E| / 2 - |V| / 6** fn greedy_fas_performance_within_bound(t: Tournament<(), ()>) -> bool { let Tournament(g) = t; let expected_bound = if g.node_count() < 2 { 0 } else { ((g.edge_count() as f64) / 2.0 - (g.node_count() as f64) / 6.0) as usize }; let fas_size = greedy_feedback_arc_set(&g).count(); fas_size <= expected_bound } } fn is_valid_matching<G: NodeIndexable>(m: &Matching<G>) -> bool { // A set of edges is a matching if no two edges from the matching share an // endpoint. for (s1, t1) in m.edges() { for (s2, t2) in m.edges() { if s1 == s2 && t1 == t2 { continue; } if s1 == s2 || s1 == t2 || t1 == s2 || t1 == t2 { // Two edges share an endpoint. return false; } } } true } fn is_maximum_matching<G: NodeIndexable + IntoEdges + IntoNodeIdentifiers + Visitable>( g: G, m: &Matching<G>, ) -> bool { // Berge's lemma: a matching is maximum iff there is no augmenting path (a // path that starts and ends in unmatched vertices, and alternates between // matched and unmatched edges). Thus if we find an augmenting path, the // matching is not maximum. // // Start with an unmatched node and traverse the graph alternating matched // and unmatched edges. If an unmatched node is found, then an augmenting // path was found. for unmatched in g.node_identifiers().filter(|u| !m.contains_node(*u)) { let visited = &mut g.visit_map(); let mut stack = Vec::new(); stack.push((unmatched, false)); while let Some((u, do_matched_edges)) = stack.pop() { if visited.visit(u) { for e in g.edges(u) { if e.source() == e.target() { // Ignore self-loops. continue; } let is_matched = m.contains_edge(e.source(), e.target()); if do_matched_edges && is_matched || !do_matched_edges && !is_matched { stack.push((e.target(), !do_matched_edges)); // Found another free node (other than the starting one) // that is unmatched - an augmenting path. if !is_matched && !m.contains_node(e.target()) && e.target() != unmatched { return false; } } } } } } true } fn is_perfect_matching<G: NodeCount + NodeIndexable>(g: G, m: &Matching<G>) -> bool { // By definition. g.node_count() % 2 == 0 && m.edges().count() == g.node_count() / 2 } quickcheck! { fn matching(g: Graph<(), (), Undirected>) -> bool { let m1 = greedy_matching(&g); let m2 = maximum_matching(&g); assert!(is_valid_matching(&m1), "greedy_matching returned an invalid matching"); assert!(is_valid_matching(&m2), "maximum_matching returned an invalid matching"); assert!(is_maximum_matching(&g, &m2), "maximum_matching returned a matching that is not maximum"); assert_eq!(m1.is_perfect(), is_perfect_matching(&g, &m1), "greedy_matching incorrectly determined whether the matching is perfect"); assert_eq!(m2.is_perfect(), is_perfect_matching(&g, &m2), "maximum_matching incorrectly determined whether the matching is perfect"); true } fn matching_in_stable_graph(g: StableGraph<(), (), Undirected>) -> bool { let m1 = greedy_matching(&g); let m2 = maximum_matching(&g); assert!(is_valid_matching(&m1), "greedy_matching returned an invalid matching"); assert!(is_valid_matching(&m2), "maximum_matching returned an invalid matching"); assert!(is_maximum_matching(&g, &m2), "maximum_matching returned a matching that is not maximum"); assert_eq!(m1.is_perfect(), is_perfect_matching(&g, &m1), "greedy_matching incorrectly determined whether the matching is perfect"); assert_eq!(m2.is_perfect(), is_perfect_matching(&g, &m2), "maximum_matching incorrectly determined whether the matching is perfect"); true } } �������������������������������������������������������������petgraph-0.6.4/tests/res/graph_1000n_1000e.txt������������������������������������������������������0000644�0000000�0000000�00007502177�10461020230�0016710�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0�������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/stable_graph.rs����������������������������������������������������������������0000644�0000000�0000000�00000031261�10461020230�0015613�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������#![cfg(feature = "stable_graph")] extern crate itertools; extern crate petgraph; #[macro_use] extern crate defmac; use std::collections::HashSet; use itertools::assert_equal; use petgraph::algo::{kosaraju_scc, min_spanning_tree, tarjan_scc}; use petgraph::dot::Dot; use petgraph::prelude::*; use petgraph::stable_graph::edge_index as e; use petgraph::stable_graph::node_index as n; use petgraph::visit::{EdgeIndexable, IntoEdgeReferences, IntoNodeReferences, NodeIndexable}; use petgraph::EdgeType; #[test] fn node_indices() { let mut g = StableGraph::<_, ()>::new(); let a = g.add_node(0); let b = g.add_node(1); let c = g.add_node(2); g.remove_node(b); let mut iter = g.node_indices(); assert_eq!(iter.next(), Some(a)); assert_eq!(iter.next(), Some(c)); assert_eq!(iter.next(), None); } #[test] fn node_bound() { let mut g = StableGraph::<_, ()>::new(); assert_eq!(g.node_bound(), g.node_count()); for i in 0..10 { g.add_node(i); assert_eq!(g.node_bound(), g.node_count()); } let full_count = g.node_count(); g.remove_node(n(0)); g.remove_node(n(2)); assert_eq!(g.node_bound(), full_count); g.clear(); assert_eq!(g.node_bound(), 0); } #[test] fn edge_bound() { let mut g = StableGraph::<_, _>::new(); assert_eq!(g.edge_bound(), g.edge_count()); for i in 0..10 { g.add_node(i); } for i in 0..9 { g.add_edge(n(i), n(i + 1), i); assert_eq!(g.edge_bound(), g.edge_count()); } let full_count = g.edge_count(); g.remove_edge(e(0)); g.remove_edge(e(2)); assert_eq!(g.edge_bound(), full_count); g.clear(); assert_eq!(g.edge_bound(), 0); } #[test] fn clear_edges() { let mut gr = scc_graph(); gr.remove_node(n(1)); gr.clear_edges(); // check that we use the free list for the vacancies assert_eq!(gr.add_node(()), n(1)); assert_eq!(gr.add_node(()), n(4)); assert!(gr.edge_references().next().is_none()); assert!(gr.node_indices().all(|i| gr.neighbors(i).next().is_none())); } fn assert_sccs_eq(mut res: Vec<Vec<NodeIndex>>, normalized: Vec<Vec<NodeIndex>>) { // normalize the result and compare with the answer. for scc in &mut res { scc.sort(); } // sort by minimum element res.sort_by(|v, w| v[0].cmp(&w[0])); assert_eq!(res, normalized); } fn scc_graph() -> StableGraph<(), ()> { let mut gr: StableGraph<(), ()> = StableGraph::from_edges(&[ (6, 0), (0, 3), (3, 6), (8, 6), (8, 2), (2, 5), (5, 8), (7, 5), (1, 7), (7, 4), (4, 1), ]); // make an identical replacement of n(4) and leave a hole let x = gr.add_node(()); gr.add_edge(n(7), x, ()); gr.add_edge(x, n(1), ()); gr.remove_node(n(4)); gr } #[test] fn test_scc() { let gr = scc_graph(); println!("{:?}", gr); let x = n(gr.node_bound() - 1); assert_sccs_eq( kosaraju_scc(&gr), vec![ vec![n(0), n(3), n(6)], vec![n(1), n(7), x], vec![n(2), n(5), n(8)], ], ); } #[test] fn test_tarjan_scc() { let gr = scc_graph(); let x = n(gr.node_bound() - 1); assert_sccs_eq( tarjan_scc(&gr), vec![ vec![n(0), n(3), n(6)], vec![n(1), n(7), x], vec![n(2), n(5), n(8)], ], ); } fn make_graph<Ty>() -> StableGraph<(), i32, Ty> where Ty: EdgeType, { let mut gr = StableGraph::default(); let mut c = 0..; let mut e = || -> i32 { c.next().unwrap() }; gr.extend_with_edges(&[ (6, 0, e()), (0, 3, e()), (3, 6, e()), (8, 6, e()), (8, 2, e()), (2, 5, e()), (5, 8, e()), (7, 5, e()), (1, 7, e()), (7, 4, e()), (8, 6, e()), // parallel edge (4, 1, e()), ]); // make an identical replacement of n(4) and leave a hole let x = gr.add_node(()); gr.add_edge(n(7), x, e()); gr.add_edge(x, n(1), e()); gr.add_edge(x, x, e()); // make two self loops let rm_self_loop = gr.add_edge(x, x, e()); gr.add_edge(x, x, e()); gr.remove_node(n(4)); gr.remove_node(n(6)); gr.remove_edge(rm_self_loop); gr } defmac!(edges ref gr, x => gr.edges(x).map(|r| (r.target(), *r.weight()))); #[test] fn test_edges_directed() { let gr = make_graph::<Directed>(); let x = n(9); assert_equal(edges!(&gr, x), vec![(x, 16), (x, 14), (n(1), 13)]); assert_equal(edges!(&gr, n(0)), vec![(n(3), 1)]); assert_equal(edges!(&gr, n(4)), vec![]); } #[test] fn test_edge_references() { let gr = make_graph::<Directed>(); assert_eq!(gr.edge_count(), gr.edge_references().count()); } #[test] fn test_edges_undirected() { let gr = make_graph::<Undirected>(); let x = n(9); assert_equal( edges!(&gr, x), vec![(x, 16), (x, 14), (n(1), 13), (n(7), 12)], ); assert_equal(edges!(&gr, n(0)), vec![(n(3), 1)]); assert_equal(edges!(&gr, n(4)), vec![]); } #[test] fn test_edge_iterators_directed() { let gr = make_graph::<Directed>(); for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Outgoing), gr.edges(i)); for edge in gr.edges_directed(i, Outgoing) { assert_eq!( edge.source(), i, "outgoing edges should have a fixed source" ); } } let mut incoming = vec![Vec::new(); gr.node_bound()]; for i in gr.node_indices() { for j in gr.neighbors(i) { incoming[j.index()].push(i); } } println!("{:#?}", gr); for i in gr.node_indices() { itertools::assert_equal( gr.edges_directed(i, Incoming).map(|e| e.source()), incoming[i.index()].iter().rev().cloned(), ); for edge in gr.edges_directed(i, Incoming) { assert_eq!( edge.target(), i, "incoming edges should have a fixed target" ); } } } #[test] fn test_edge_iterators_undir() { let gr = make_graph::<Undirected>(); for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Outgoing), gr.edges(i)); for edge in gr.edges_directed(i, Outgoing) { assert_eq!( edge.source(), i, "outgoing edges should have a fixed source" ); } } for i in gr.node_indices() { itertools::assert_equal(gr.edges_directed(i, Incoming), gr.edges(i)); for edge in gr.edges_directed(i, Incoming) { assert_eq!( edge.target(), i, "incoming edges should have a fixed target" ); } } } #[test] #[should_panic(expected = "is not a node")] fn add_edge_vacant() { let mut g = StableGraph::<_, _>::new(); let a = g.add_node(0); let b = g.add_node(1); let _ = g.add_node(2); let _ = g.remove_node(b); g.add_edge(a, b, 1); } #[test] #[should_panic(expected = "is not a node")] fn add_edge_oob() { let mut g = StableGraph::<_, _>::new(); let a = g.add_node(0); let _ = g.add_node(1); let _ = g.add_node(2); g.add_edge(a, n(4), 1); } #[test] fn test_node_references() { let gr = scc_graph(); itertools::assert_equal(gr.node_references().map(|(i, _)| i), gr.node_indices()); } #[test] fn iterators_undir() { let mut g = StableUnGraph::<_, _>::default(); let a = g.add_node(0); let b = g.add_node(1); let c = g.add_node(2); let d = g.add_node(3); g.extend_with_edges(&[(a, b, 1), (a, c, 2), (b, c, 3), (c, c, 4), (a, d, 5)]); g.remove_node(b); itertools::assert_equal(g.neighbors(a), vec![d, c]); itertools::assert_equal(g.neighbors(c), vec![c, a]); itertools::assert_equal(g.neighbors(d), vec![a]); // the node that was removed itertools::assert_equal(g.neighbors(b), vec![]); // remove one more g.remove_node(c); itertools::assert_equal(g.neighbors(c), vec![]); } #[test] fn iter_multi_edges() { let mut gr = StableGraph::new(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); let mut connecting_edges = HashSet::new(); gr.add_edge(a, a, ()); connecting_edges.insert(gr.add_edge(a, b, ())); gr.add_edge(a, c, ()); gr.add_edge(c, b, ()); connecting_edges.insert(gr.add_edge(a, b, ())); gr.add_edge(b, a, ()); let mut iter = gr.edges_connecting(a, b); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); assert_eq!(None, iter.next()); assert!(connecting_edges.is_empty()); } #[test] fn iter_multi_undirected_edges() { let mut gr: StableUnGraph<_, _> = Default::default(); let a = gr.add_node("a"); let b = gr.add_node("b"); let c = gr.add_node("c"); let mut connecting_edges = HashSet::new(); gr.add_edge(a, a, ()); connecting_edges.insert(gr.add_edge(a, b, ())); gr.add_edge(a, c, ()); gr.add_edge(c, b, ()); connecting_edges.insert(gr.add_edge(a, b, ())); connecting_edges.insert(gr.add_edge(b, a, ())); let mut iter = gr.edges_connecting(a, b); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); let edge_id = iter.next().unwrap().id(); assert!(connecting_edges.contains(&edge_id)); connecting_edges.remove(&edge_id); assert_eq!(None, iter.next()); assert!(connecting_edges.is_empty()); } #[test] fn dot() { let mut gr = StableGraph::new(); let a = gr.add_node("x"); let b = gr.add_node("y"); gr.add_edge(a, a, "10"); gr.add_edge(a, b, "20"); let dot_output = format!("{}", Dot::new(&gr)); assert_eq!( dot_output, r#"digraph { 0 [ label = "x" ] 1 [ label = "y" ] 0 -> 0 [ label = "10" ] 0 -> 1 [ label = "20" ] } "# ); } defmac!(iter_eq a, b => a.eq(b)); defmac!(nodes_eq ref a, ref b => a.node_references().eq(b.node_references())); defmac!(edgew_eq ref a, ref b => a.edge_references().eq(b.edge_references())); defmac!(edges_eq ref a, ref b => iter_eq!( a.edge_references().map(|e| (e.source(), e.target())), b.edge_references().map(|e| (e.source(), e.target())))); #[test] fn from() { let mut gr1 = StableGraph::new(); let a = gr1.add_node(1); let b = gr1.add_node(2); let c = gr1.add_node(3); gr1.add_edge(a, a, 10); gr1.add_edge(a, b, 20); gr1.add_edge(b, c, 30); gr1.add_edge(a, c, 40); let gr2 = Graph::from(gr1.clone()); let gr3 = StableGraph::from(gr2); assert!(nodes_eq!(&gr1, &gr3)); assert!(edgew_eq!(&gr1, &gr3)); assert!(edges_eq!(&gr1, &gr3)); gr1.remove_node(b); let gr4 = Graph::from(gr1); let gr5 = StableGraph::from(gr4.clone()); let mut ans = StableGraph::new(); let a = ans.add_node(1); let c = ans.add_node(3); ans.add_edge(a, a, 10); ans.add_edge(a, c, 40); assert!(nodes_eq!(&gr4, &ans)); assert!(edges_eq!(&gr4, &ans)); assert!(nodes_eq!(&gr5, &ans)); assert!(edgew_eq!(&gr5, &ans)); assert!(edges_eq!(&gr5, &ans)); } use petgraph::data::FromElements; use petgraph::stable_graph::StableGraph; #[test] fn from_min_spanning_tree() { let mut g = StableGraph::new(); let mut nodes = Vec::new(); for _ in 0..6 { nodes.push(g.add_node(())); } let es = [(4, 5), (3, 4), (3, 5)]; for &(a, b) in es.iter() { g.add_edge(NodeIndex::new(a), NodeIndex::new(b), ()); } for i in 0..3 { let _ = g.remove_node(nodes[i]); } let _ = StableGraph::<(), (), Undirected, usize>::from_elements(min_spanning_tree(&g)); } #[test] fn weights_mut_iterator() { let mut gr = StableGraph::new(); let a = gr.add_node(1); let b = gr.add_node(2); let c = gr.add_node(3); let e1 = gr.add_edge(a, a, 10); let e2 = gr.add_edge(a, b, 20); let e3 = gr.add_edge(b, c, 30); let e4 = gr.add_edge(a, c, 40); for n in gr.node_weights_mut() { *n += 1; } assert_eq!(gr[a], 2); assert_eq!(gr[b], 3); assert_eq!(gr[c], 4); for e in gr.edge_weights_mut() { *e -= 1; } assert_eq!(gr[e1], 9); assert_eq!(gr[e2], 19); assert_eq!(gr[e3], 29); assert_eq!(gr[e4], 39); // test on deletion gr.remove_node(b); assert_eq!(gr.node_weights_mut().count(), gr.node_count()); assert_eq!(gr.edge_weights_mut().count(), gr.edge_count()); } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/unionfind.rs�������������������������������������������������������������������0000644�0000000�0000000�00000004706�10461020230�0015155�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������extern crate petgraph; extern crate rand; use petgraph::unionfind::UnionFind; use rand::{thread_rng, ChaChaRng, Rng, SeedableRng}; use std::collections::HashSet; #[test] fn uf_test() { let n = 8; let mut u = UnionFind::new(n); for i in 0..n { assert_eq!(u.find(i), i); assert_eq!(u.find_mut(i), i); assert!(!u.union(i, i)); } u.union(0, 1); assert_eq!(u.find(0), u.find(1)); u.union(1, 3); u.union(1, 4); u.union(4, 7); assert_eq!(u.find(0), u.find(3)); assert_eq!(u.find(1), u.find(3)); assert!(u.find(0) != u.find(2)); assert_eq!(u.find(7), u.find(0)); u.union(5, 6); assert_eq!(u.find(6), u.find(5)); assert!(u.find(6) != u.find(7)); // check that there are now 3 disjoint sets let set = (0..n).map(|i| u.find(i)).collect::<HashSet<_>>(); assert_eq!(set.len(), 3); } #[test] fn uf_test_with_equiv() { let n = 8; let mut u = UnionFind::new(n); for i in 0..n { assert_eq!(u.find(i), i); assert_eq!(u.find_mut(i), i); assert!(u.equiv(i, i)); } u.union(0, 1); assert!(u.equiv(0, 1)); u.union(1, 3); u.union(1, 4); u.union(4, 7); assert!(u.equiv(0, 7)); assert!(u.equiv(1, 3)); assert!(!u.equiv(0, 2)); assert!(u.equiv(7, 0)); u.union(5, 6); assert!(u.equiv(6, 5)); assert!(!u.equiv(6, 7)); // check that there are now 3 disjoint sets let set = (0..n).map(|i| u.find(i)).collect::<HashSet<_>>(); assert_eq!(set.len(), 3); } #[test] fn uf_rand() { let n = 1 << 14; let mut rng = ChaChaRng::from_rng(thread_rng()).unwrap(); let mut u = UnionFind::new(n); for _ in 0..100 { let a = rng.gen_range(0, n); let b = rng.gen_range(0, n); let ar = u.find(a); let br = u.find(b); assert_eq!(ar != br, u.union(a, b)); } } #[test] fn uf_u8() { let n = 256; let mut rng = ChaChaRng::from_rng(thread_rng()).unwrap(); let mut u = UnionFind::<u8>::new(n); for _ in 0..(n * 8) { let a = rng.gen(); let b = rng.gen(); let ar = u.find(a); let br = u.find(b); assert_eq!(ar != br, u.union(a, b)); } } #[test] fn labeling() { let mut u = UnionFind::<u32>::new(48); for i in 0..24 { u.union(i + 1, i); } for i in 25..47 { u.union(i, i + 1); } u.union(23, 25); u.union(24, 23); let v = u.into_labeling(); assert!(v.iter().all(|x| *x == v[0])); } ����������������������������������������������������������petgraph-0.6.4/tests/utils/mod.rs�������������������������������������������������������������������0000644�0000000�0000000�00000000036�10461020230�0015073�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������mod qc; pub use self::qc::*; ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������petgraph-0.6.4/tests/utils/qc.rs��������������������������������������������������������������������0000644�0000000�0000000�00000003717�10461020230�0014730�0����������������������������������������������������������������������������������������������������ustar �����������������������������������������������������������������0000000�0000000������������������������������������������������������������������������������������������������������������������������������������������������������������������������use petgraph::{graph::DiGraph, graphmap::NodeTrait}; use quickcheck::{Arbitrary, Gen, StdGen}; use std::ops::Deref; #[derive(Copy, Clone, Debug)] /// quickcheck Arbitrary adaptor - half the size of `T` on average pub struct Small<T>(pub T); impl<T> Deref for Small<T> { type Target = T; fn deref(&self) -> &T { &self.0 } } impl<T> Arbitrary for Small<T> where T: Arbitrary, { fn arbitrary<G: Gen>(g: &mut G) -> Self { let sz = g.size() / 2; Small(T::arbitrary(&mut StdGen::new(g, sz))) } fn shrink(&self) -> Box<dyn Iterator<Item = Self>> { Box::new((**self).shrink().map(Small)) } } #[cfg(feature = "stable_graph")] /// A directed graph where each pair of nodes has exactly one edge between them, and no loops. #[derive(Clone, Debug)] pub struct Tournament<N, E>(pub DiGraph<N, E>); /// `Arbitrary` for `Tournament` creates a graph with arbitrary node count, and exactly one edge of /// arbitrary direction between each pair of nodes, and no loops. The average node count is reduced, /// to mitigate the high edge count. impl<N, E> Arbitrary for Tournament<N, E> where N: NodeTrait + Arbitrary, E: Arbitrary, { fn arbitrary<G: Gen>(g: &mut G) -> Self { let nodes = usize::arbitrary(g) / 4; if nodes == 0 { return Tournament(DiGraph::with_capacity(0, 0)); } let mut gr = DiGraph::new(); for _ in 0..nodes { gr.add_node(N::arbitrary(g)); } for i in gr.node_indices() { for j in gr.node_indices() { if i >= j { continue; } let (source, target) = if bool::arbitrary(g) { (i, j) } else { (j, i) }; gr.add_edge(source, target, E::arbitrary(g)); } } Tournament(gr) } fn shrink(&self) -> Box<dyn Iterator<Item = Self>> { let Tournament(gr) = self; Box::new(gr.shrink().map(Tournament)) } } �����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������