pathfinding

This crate implements several pathfinding, flow, and graph algorithms in Rust.

Algorithms

The algorithms are generic over their arguments.

Directed graphs

• A*: find the shortest path in a weighted graph using an heuristic to guide the process.
• BFS: explore nearest successors first, then widen the search.
• DFS: explore a graph by going as far as possible, then backtrack.
• Dijkstra: find the shortest path in a weighted graph.
• Edmonds Karp: find the maximum flow in a weighted graph.
• Fringe: find the shortest path in a weighted graph using an heuristic to guide the process.
• IDA*: explore longer and longer paths in a weighted graph at the cost of multiple similar examinations.
• IDDFS: explore longer and longer paths in an unweighted graph at the cost of multiple similar examinations.
• strongly connected components: find strongly connected components in a directed graph.
• topological sorting: find an acceptable topological order in a directed graph.

Undirected graphs

• connected components: find disjoint connected sets of vertices.
• Kruskal: find a minimum-spanning-tree.

Matching

• Kuhn-Munkres (Hungarian algorithm): find the maximum (or minimum) matching in a weighted bipartite graph.

Using this crate

In your Cargo.toml, put:

[dependencies]
pathfinding = "2.1.0"

You can then pull your preferred algorithm (BFS in this example) using:

extern crate pathfinding;

use pathfinding::prelude::bfs;

Example

We will search the shortest path on a chess board to go from (1, 1) to (4, 6) doing only knight moves.

use pathfinding::prelude::bfs;

#[derive(Clone, Debug, Eq, Hash, Ord, PartialEq, PartialOrd)]
struct Pos(i32, i32);

impl Pos {
  fn successors(&self) -> Vec<Pos> {
    let &Pos(x, y) = self;
    vec![Pos(x+1,y+2), Pos(x+1,y-2), Pos(x-1,y+2), Pos(x-1,y-2),
         Pos(x+2,y+1), Pos(x+2,y-1), Pos(x-2,y+1), Pos(x-2,y-1)]
  }
}

static GOAL: Pos = Pos(4, 6);
let result = bfs(&Pos(1, 1), |p| p.successors(), |p| *p == GOAL);
assert_eq!(result.expect("no path found").len(), 5);

License

This code is released under a dual Apache 2.0 / MIT free software license.

Contributing

You are welcome to contribute by opening issues or submitting pull requests. Please open an issue before implementing a new feature, in case it is a work in progress already or it is fit for this repository.

In order to pass the continuous integration tests, your code must be formatted using the latest rustfmt with the nightly rust toolchain (available as the rustfmt-preview component of rustup).

This repository use the imperative mode in commit messages, such as "Add IDDFS", "Fix #xxx". This style is preferred over "Added IDDFS" or "Fixed #xxx".