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//! A Dijkstra's algorithm implementation that aims to be simple to use and fast to run
//!
//! This is the central pillar of `dijkstra_suite` crate.
//! `dijkstra` module implements the algorithm logic, exposes the main function to compute
//! the shortest path and provides the interface to the core parts of implementation
//!
//! ## Versioned implementations for multi-strategy support
//!
//! Main implementation should be `v1` and that should be used for "default exports" from
//! `dijkstra` module
//!
//! Versioned submoduling allows multiple implementations to live and be maintened together
//! and easily switched
//!
//! ## Usage
//!
//! Create a `Graph`, define the start and the end node ids, then call `dijkstra_path()` function.
//! Returned result is a sequence of node ids that represents the shortest path possible
//!
//! ```rust
//! use dijkstra_suite::dijkstra::dijkstra_path;
//! use dijkstra_suite::graph::Graph;
//! use dijkstra_suite::path::Path;
//! use dijkstra_suite::node::{Node, NodeConnection};
//!
//! let mut graph: Graph<&str, f32> = Graph::default();
//! let node_a = Node {
//! id: "A",
//! weight: 0.0,
//! neighbours: vec![
//! NodeConnection {
//! from: "A",
//! to: "B",
//! weight: 7.0,
//! },
//! NodeConnection {
//! from: "A",
//! to: "E",
//! weight: 1.0,
//! },
//! ],
//! };
//!
//! let node_b = Node {
//! id: "B",
//! weight: 0.0,
//! neighbours: vec![
//! NodeConnection {
//! from: "B",
//! to: "A",
//! weight: 7.0,
//! },
//! NodeConnection {
//! from: "B",
//! to: "C",
//! weight: 3.0,
//! },
//! NodeConnection {
//! from: "B",
//! to: "E",
//! weight: 8.0,
//! },
//! ],
//! };
//!
//! let node_c = Node {
//! id: "C",
//! weight: 0.0,
//! neighbours: vec![
//! NodeConnection {
//! from: "C",
//! to: "B",
//! weight: 3.0,
//! },
//! NodeConnection {
//! from: "C",
//! to: "D",
//! weight: 6.0,
//! },
//! NodeConnection {
//! from: "C",
//! to: "E",
//! weight: 2.0,
//! },
//! ],
//! };
//!
//! let node_d = Node {
//! id: "D",
//! weight: 0.0,
//! neighbours: vec![
//! NodeConnection {
//! from: "D",
//! to: "C",
//! weight: 6.0,
//! },
//! NodeConnection {
//! from: "D",
//! to: "E",
//! weight: 7.0,
//! },
//! ],
//! };
//!
//! let node_e = Node {
//! id: "E",
//! weight: 0.0,
//! neighbours: vec![
//! NodeConnection {
//! from: "E",
//! to: "A",
//! weight: 1.0,
//! },
//! NodeConnection {
//! from: "E",
//! to: "B",
//! weight: 8.0,
//! },
//! NodeConnection {
//! from: "E",
//! to: "C",
//! weight: 2.0,
//! },
//! NodeConnection {
//! from: "E",
//! to: "D",
//! weight: 7.0,
//! },
//! ],
//! };
//!
//! graph.insert(node_a.id, node_a);
//! graph.insert(node_b.id, node_b);
//! graph.insert(node_c.id, node_c);
//! graph.insert(node_d.id, node_d);
//! graph.insert(node_e.id, node_e);
//!
//! let result = dijkstra_path(&graph, "B", "D");
//!
//! let expected_path: Path<&str, f32> = Path {
//! weight: 9.0,
//! steps: vec!["B", "C", "D"],
//! };
//!
//! assert_eq!(result.unwrap(), expected_path)
//!
//! ```
use crate::;
/// compute the best possible path in a graph using Dijkstra algorithm
///
/// it returns a `Path` holding both the weight and the steps of the path