diff options
Diffstat (limited to 'vendor/petgraph/tests')
23 files changed, 9498 insertions, 0 deletions
diff --git a/vendor/petgraph/tests/adjacency_matrix.rs b/vendor/petgraph/tests/adjacency_matrix.rs new file mode 100644 index 00000000..4a919be2 --- /dev/null +++ b/vendor/petgraph/tests/adjacency_matrix.rs @@ -0,0 +1,202 @@ +use petgraph::{ + adj::List, + csr::Csr, + visit::{EdgeRef, GetAdjacencyMatrix, GraphProp, IntoEdgeReferences, IntoNodeIdentifiers}, + Directed, EdgeType, Graph, Undirected, +}; + +#[cfg(feature = "graphmap")] +use petgraph::graphmap::GraphMap; + +#[cfg(feature = "matrix_graph")] +use petgraph::matrix_graph::MatrixGraph; + +#[cfg(feature = "stable_graph")] +use petgraph::stable_graph::StableGraph; + +fn test_adjacency_matrix<G>(g: G) +where + G: GetAdjacencyMatrix + IntoNodeIdentifiers + IntoEdgeReferences + GraphProp, +{ + let matrix = g.adjacency_matrix(); + let node_ids: Vec<G::NodeId> = g.node_identifiers().collect(); + let edges: Vec<(G::NodeId, G::NodeId)> = g + .edge_references() + .map(|edge| (edge.source(), edge.target())) + .collect(); + + for &a in &node_ids { + for &b in &node_ids { + if edges.contains(&(a, b)) || (!g.is_directed() && edges.contains(&(b, a))) { + assert!(g.is_adjacent(&matrix, a, b)); + } else { + assert!(!g.is_adjacent(&matrix, a, b)); + } + } + } +} + +fn test_adjacency_matrix_for_graph<Ty: EdgeType>() { + for (order, edges) in TEST_CASES { + let mut g: Graph<(), (), Ty, u16> = Graph::with_capacity(order, edges.len()); + + for _ in 0..order { + g.add_node(()); + } + g.extend_with_edges(edges); + + test_adjacency_matrix(&g); + } +} + +#[test] +fn test_adjacency_matrix_for_graph_directed() { + test_adjacency_matrix_for_graph::<Directed>(); +} + +#[test] +fn test_adjacency_matrix_for_graph_undirected() { + test_adjacency_matrix_for_graph::<Undirected>(); +} + +#[cfg(feature = "stable_graph")] +fn test_adjacency_matrix_for_stable_graph<Ty: EdgeType>() { + for (order, edges) in TEST_CASES { + let mut g: StableGraph<(), (), Ty, u16> = StableGraph::with_capacity(order, edges.len()); + + for _ in 0..order { + g.add_node(()); + } + g.extend_with_edges(edges); + + test_adjacency_matrix(&g); + } +} + +#[cfg(feature = "stable_graph")] +#[test] +fn test_adjacency_matrix_for_stable_graph_directed() { + test_adjacency_matrix_for_stable_graph::<Directed>(); +} + +#[cfg(feature = "stable_graph")] +#[test] +fn test_adjacency_matrix_for_stable_graph_undirected() { + test_adjacency_matrix_for_stable_graph::<Undirected>(); +} + +#[cfg(feature = "graphmap")] +fn test_adjacency_matrix_for_graph_map<Ty: EdgeType>() { + for (order, edges) in TEST_CASES { + let mut g: GraphMap<u16, (), Ty> = GraphMap::with_capacity(order, edges.len()); + + for i in 0..order { + g.add_node(i as u16); + } + for &(a, b) in edges { + g.add_edge(a, b, ()); + } + + test_adjacency_matrix(&g); + } +} + +#[cfg(feature = "graphmap")] +#[test] +fn test_adjacency_matrix_for_graph_map_directed() { + test_adjacency_matrix_for_graph_map::<Directed>(); +} + +#[cfg(feature = "graphmap")] +#[test] +fn test_adjacency_matrix_for_graph_map_undirected() { + test_adjacency_matrix_for_graph_map::<Undirected>(); +} + +#[cfg(feature = "matrix_graph")] +fn test_adjacency_matrix_for_matrix_graph<Ty: EdgeType>() { + for (order, edges) in TEST_CASES { + let mut g: MatrixGraph<(), (), Ty> = MatrixGraph::with_capacity(order); + + for _ in 0..order { + g.add_node(()); + } + g.extend_with_edges(edges); + + test_adjacency_matrix(&g); + } +} + +#[cfg(feature = "matrix_graph")] +#[test] +fn test_adjacency_matrix_for_matrix_graph_directed() { + test_adjacency_matrix_for_matrix_graph::<Directed>(); +} + +#[cfg(feature = "matrix_graph")] +#[test] +fn test_adjacency_matrix_for_matrix_graph_undirected() { + test_adjacency_matrix_for_matrix_graph::<Undirected>(); +} + +fn test_adjacency_matrix_for_csr<Ty: EdgeType>() { + for (order, edges) in TEST_CASES { + let mut g: Csr<(), (), Ty, u16> = Csr::new(); + + for _ in 0..order { + g.add_node(()); + } + for &(a, b) in edges { + g.add_edge(a, b, ()); + } + + test_adjacency_matrix(&g); + } +} + +#[test] +fn test_adjacency_matrix_for_csr_directed() { + test_adjacency_matrix_for_csr::<Directed>(); +} + +#[test] +fn test_adjacency_matrix_for_csr_undirected() { + test_adjacency_matrix_for_csr::<Undirected>(); +} + +#[test] +fn test_adjacency_matrix_for_adj_list() { + for (order, edges) in TEST_CASES { + let mut g: List<(), u16> = List::with_capacity(order); + + for _ in 0..order { + g.add_node(); + } + + for &(a, b) in edges { + g.add_edge(a, b, ()); + } + + test_adjacency_matrix(&g); + } +} + +// Test cases format: (graph order, graph edges) +#[rustfmt::skip] +const TEST_CASES: [(usize, &[(u16, u16)]); 10] = [ + // Empty Graphs + (0, &[]), + (1, &[]), + (2, &[]), + // Graph with a loop + (2, &[(0, 0)]), + // Small Graphs + (5, &[(0, 2), (0, 4), (1, 3), (3, 4)]), + (6, &[(2, 3)]), + (9, &[(1, 4), (2, 8), (3, 7), (4, 8), (5, 8)]), + // Complete Graphs + (2, &[(0, 1)]), + (7, &[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]), + // Petersen + (10, &[(0, 1), (0, 4), (0, 5), (1, 2), (1, 6), (2, 3), (2, 7), (3, 4), (3, 8), (4, 9), (5, 7), (5, 8), (6, 8), (6, 9), (7, 9)]), +]; diff --git a/vendor/petgraph/tests/coloring.rs b/vendor/petgraph/tests/coloring.rs new file mode 100644 index 00000000..86890bb9 --- /dev/null +++ b/vendor/petgraph/tests/coloring.rs @@ -0,0 +1,59 @@ +use petgraph::algo::dsatur_coloring; +use petgraph::{Graph, Undirected}; + +#[test] +fn dsatur_coloring_cycle6() { + let mut graph: Graph<(), (), Undirected> = Graph::new_undirected(); + let a = graph.add_node(()); + let d = graph.add_node(()); + let b = graph.add_node(()); + let c = graph.add_node(()); + let e = graph.add_node(()); + let f = graph.add_node(()); + graph.extend_with_edges(&[(a, b), (b, c), (c, d), (d, e), (e, f), (f, e)]); + + let (coloring, nb_colors) = dsatur_coloring(&graph); + assert_eq!(nb_colors, 2); + assert_eq!(coloring.len(), 6); +} + +#[test] +fn dsatur_coloring_bipartite() { + let mut graph: Graph<(), (), Undirected> = Graph::new_undirected(); + let a = graph.add_node(()); + let d = graph.add_node(()); + let b = graph.add_node(()); + let c = 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(()); + graph.extend_with_edges(&[ + (a, b), + (a, g), + (a, l), + (b, d), + (b, h), + (b, k), + (c, d), + (c, k), + (d, l), + (e, f), + (e, j), + (f, i), + (f, l), + (g, h), + (g, j), + (g, k), + (h, i), + (i, j), + (i, k), + ]); + + let (_, nb_colors) = dsatur_coloring(&graph); + assert_eq!(nb_colors, 2); +} diff --git a/vendor/petgraph/tests/floyd_warshall.rs b/vendor/petgraph/tests/floyd_warshall.rs new file mode 100644 index 00000000..2397d1b4 --- /dev/null +++ b/vendor/petgraph/tests/floyd_warshall.rs @@ -0,0 +1,341 @@ +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_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()); +} + +#[test] +fn floyd_warshall_multiple_edges() { + let mut graph: Graph<(), i32, 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, 10), + (a, b, 1), + (a, c, 4), + (a, d, 10), + (b, c, 2), + (b, d, 2), + (c, d, 2), + (a, d, 100), + (c, d, 20), + (a, a, 5), + ]); + + 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| *edge.weight()).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() + ); + } + } +} diff --git a/vendor/petgraph/tests/ford_fulkerson.rs b/vendor/petgraph/tests/ford_fulkerson.rs new file mode 100644 index 00000000..0b7881d2 --- /dev/null +++ b/vendor/petgraph/tests/ford_fulkerson.rs @@ -0,0 +1,121 @@ +use petgraph::algo::ford_fulkerson; +use petgraph::prelude::Graph; + +#[test] +fn test_ford_fulkerson() { + // Example from https://downey.io/blog/max-flow-ford-fulkerson-algorithm-explanation/ + let mut graph = Graph::<usize, u16>::new(); + let source = graph.add_node(0); + let _ = graph.add_node(1); + let _ = graph.add_node(2); + let destination = graph.add_node(3); + graph.extend_with_edges(&[(0, 1, 3), (0, 2, 2), (1, 2, 5), (1, 3, 2), (2, 3, 3)]); + let (max_flow, _) = ford_fulkerson(&graph, source, destination); + assert_eq!(5, max_flow); + + // Example from https://brilliant.org/wiki/ford-fulkerson-algorithm/ + let mut graph = Graph::<usize, f32>::new(); + let source = graph.add_node(0); + let _ = graph.add_node(1); + let _ = graph.add_node(2); + let _ = graph.add_node(3); + let _ = graph.add_node(4); + let destination = graph.add_node(5); + graph.extend_with_edges(&[ + (0, 1, 4.), + (0, 2, 3.), + (1, 3, 4.), + (2, 4, 6.), + (3, 2, 3.), + (3, 5, 2.), + (4, 5, 6.), + ]); + let (max_flow, _) = ford_fulkerson(&graph, source, destination); + assert_eq!(7.0, max_flow); + + // Example from https://cp-algorithms.com/graph/edmonds_karp.html + let mut graph = Graph::<usize, f32>::new(); + let source = graph.add_node(0); + let _ = graph.add_node(1); + let _ = graph.add_node(2); + let _ = graph.add_node(3); + let _ = graph.add_node(4); + let destination = graph.add_node(5); + graph.extend_with_edges(&[ + (0, 1, 7.), + (0, 2, 4.), + (1, 3, 5.), + (1, 4, 3.), + (2, 1, 3.), + (2, 4, 2.), + (3, 5, 8.), + (4, 3, 3.), + (4, 5, 5.), + ]); + let (max_flow, _) = ford_fulkerson(&graph, source, destination); + assert_eq!(10.0, max_flow); + + // Example from https://www.programiz.com/dsa/ford-fulkerson-algorithm (corrected: result not 6 but 5) + let mut graph = Graph::<u8, f32>::new(); + let source = graph.add_node(0); + let _ = graph.add_node(1); + let _ = graph.add_node(2); + let _ = graph.add_node(3); + let _ = graph.add_node(4); + let destination = graph.add_node(5); + graph.extend_with_edges(&[ + (0, 1, 8.), + (0, 2, 3.), + (1, 3, 9.), + (2, 3, 7.), + (2, 4, 4.), + (3, 5, 2.), + (4, 5, 5.), + ]); + let (max_flow, _) = ford_fulkerson(&graph, source, destination); + assert_eq!(5.0, max_flow); + + let mut graph = Graph::<u8, u8>::new(); + let source = graph.add_node(0); + let _ = graph.add_node(1); + let _ = graph.add_node(2); + let _ = graph.add_node(3); + let _ = graph.add_node(4); + let destination = graph.add_node(5); + graph.extend_with_edges(&[ + (0, 1, 16), + (0, 2, 13), + (1, 2, 10), + (1, 3, 12), + (2, 1, 4), + (2, 4, 14), + (3, 2, 9), + (3, 5, 20), + (4, 3, 7), + (4, 5, 4), + ]); + let (max_flow, _) = ford_fulkerson(&graph, source, destination); + assert_eq!(23, max_flow); + + // Example taken from https://medium.com/@jithmisha/solving-the-maximum-flow-problem-with-ford-fulkerson-method-3fccc2883dc7 + let mut graph = Graph::<u8, u8>::new(); + let source = graph.add_node(0); + let _ = graph.add_node(1); + let _ = graph.add_node(2); + let _ = graph.add_node(3); + let _ = graph.add_node(4); + let destination = graph.add_node(5); + graph.extend_with_edges(&[ + (0, 1, 10), + (0, 2, 10), + (1, 2, 2), + (1, 3, 4), + (1, 4, 8), + (2, 4, 9), + (3, 5, 10), + (4, 3, 6), + (4, 5, 10), + ]); + let (max_flow, _) = ford_fulkerson(&graph, source, destination); + assert_eq!(19, max_flow); +} diff --git a/vendor/petgraph/tests/graph.rs b/vendor/petgraph/tests/graph.rs new file mode 100644 index 00000000..6c8206cc --- /dev/null +++ b/vendor/petgraph/tests/graph.rs @@ -0,0 +1,2454 @@ +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, +}; + +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 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); + #[allow(clippy::no_effect)] + 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 init_nodes = gr.node_identifiers().filter(|n| { + gr.neighbors_directed(*n, Direction::Incoming) + .next() + .is_none() + }); + let mut topo = Topo::with_initials(&gr, init_nodes); + while let Some(nx) = topo.next(&gr) { + order.push(nx); + } + assert_is_topo_order(&gr, &order); + } + + { + // test `with_initials` API using nodes with incoming edges + order.clear(); + let mut topo = Topo::with_initials(&gr, gr.node_identifiers()); + while let Some(nx) = topo.next(&gr) { + order.push(nx); + } + 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<G>(g: G, node: G::NodeId) -> usize +where + G: IntoNeighbors, + G::NodeId: PartialEq, +{ + // self loops count twice + let original_node = node; + 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)] + #[allow(unused)] + 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 dfs.next(&gr).is_some() {} + + 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 dfs.next(&positive_edges).is_some() {} + + 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" + ); +} diff --git a/vendor/petgraph/tests/graph6.rs b/vendor/petgraph/tests/graph6.rs new file mode 100644 index 00000000..52e70d12 --- /dev/null +++ b/vendor/petgraph/tests/graph6.rs @@ -0,0 +1,266 @@ +use petgraph::{ + csr::Csr, + graph6::{from_graph6_representation, get_graph6_representation, FromGraph6, ToGraph6}, + Graph, Undirected, +}; + +#[cfg(feature = "graphmap")] +use petgraph::graphmap::GraphMap; + +#[cfg(feature = "matrix_graph")] +use petgraph::matrix_graph::MatrixGraph; + +#[cfg(feature = "stable_graph")] +use petgraph::stable_graph::StableGraph; + +#[test] +fn generic_graph6_encoder_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_generic_graph6_encoder(graph6_str, order, edges.to_vec()); + } +} + +fn test_generic_graph6_encoder(expected_graph6_str: &str, order: usize, edges: Vec<(u16, u16)>) { + type G = Graph<(), (), Undirected, u16>; + + // Assert encoded graph6 string is as expected + let mut graph: G = Graph::with_capacity(order, edges.len()); + for _ in 0..order { + graph.add_node(()); + } + graph.extend_with_edges(edges); + + let graph6_string = get_graph6_representation(&graph); + assert_eq!(graph6_string, expected_graph6_str); +} + +#[test] +fn graph6_generic_decoder_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_graph6_generic_decoder(graph6_str, order, edges.to_vec()); + } +} + +fn test_graph6_generic_decoder( + graph6_str: &str, + expected_order: usize, + mut expected_edges: Vec<(u16, u16)>, +) { + type G = (usize, Vec<(u16, u16)>); + + let (order, mut edges): G = from_graph6_representation(graph6_str.to_string()); + assert_eq!(order, expected_order, "order should be the same"); + + edges.sort(); + expected_edges.sort(); + assert_eq!(edges, expected_edges, "edges should be the same"); +} + +#[test] +fn graph6_for_graph_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_graph6_for_graph(graph6_str, order, edges.to_vec()); + } +} + +fn test_graph6_for_graph(graph6_str: &str, order: usize, edges: Vec<(u16, u16)>) { + type G = Graph<(), (), Undirected, u16>; + let size = edges.len(); + + // Build test graph + let mut graph: G = Graph::with_capacity(order, size); + for _ in 0..order { + graph.add_node(()); + } + graph.extend_with_edges(edges); + + // Assert encoded graph6 string is as expected + let graph6_string = graph.graph6_string(); + assert_eq!(graph6_string, graph6_str); + + // Assert decoded graph properties + let decoded_graph = G::from_graph6_string(graph6_string); + assert_eq!(decoded_graph.node_count(), order); + assert_eq!(decoded_graph.edge_count(), size); + + // Assert re-encoded graph6 string is the same + assert_eq!(decoded_graph.graph6_string(), graph6_str); +} + +#[cfg(feature = "stable_graph")] +#[test] +fn graph6_for_stable_graph_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_graph6_for_stable_graph(graph6_str, order, edges.to_vec()); + } +} + +#[cfg(feature = "stable_graph")] +fn test_graph6_for_stable_graph(graph6_str: &str, order: usize, edges: Vec<(u16, u16)>) { + type G = StableGraph<(), (), Undirected, u16>; + let size = edges.len(); + + // Build test graph + let mut graph = G::with_capacity(order, edges.len()); + for _ in 0..order { + graph.add_node(()); + } + graph.extend_with_edges(edges); + + // Assert encoded graph6 string is as expected + let graph6_string = graph.graph6_string(); + assert_eq!(graph6_string, graph6_str); + + // Assert decoded graph properties + let decoded_graph = G::from_graph6_string(graph6_string); + assert_eq!(decoded_graph.node_count(), order); + assert_eq!(decoded_graph.edge_count(), size); + + // Assert re-encoded graph6 string is the same + assert_eq!(decoded_graph.graph6_string(), graph6_str); +} + +#[cfg(feature = "graphmap")] +#[test] +fn graph6_for_graph_map_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_graph6_for_graph_map(graph6_str, order, edges.to_vec()); + } +} + +#[cfg(feature = "graphmap")] +fn test_graph6_for_graph_map(graph6_str: &str, order: usize, edges: Vec<(u16, u16)>) { + type G = GraphMap<u16, (), Undirected>; + let size = edges.len(); + + // Build test graph + let mut graph = G::with_capacity(order, edges.len()); + for i in 0..order { + graph.add_node(i as u16); + } + for (a, b) in edges { + graph.add_edge(a, b, ()); + } + + // Assert encoded graph6 string is as expected + let graph6_string = graph.graph6_string(); + assert_eq!(graph6_string, graph6_str); + + // Assert decoded graph properties + let decoded_graph = G::from_graph6_string(graph6_string); + assert_eq!(decoded_graph.node_count(), order); + assert_eq!(decoded_graph.edge_count(), size); + + // Assert re-encoded graph6 string is the same + assert_eq!(decoded_graph.graph6_string(), graph6_str); +} + +#[cfg(feature = "matrix_graph")] +#[test] +fn graph6_for_matrix_graph_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_graph6_for_matrix_graph(graph6_str, order, edges.to_vec()); + } +} + +#[cfg(feature = "matrix_graph")] +fn test_graph6_for_matrix_graph(graph6_str: &str, order: usize, edges: Vec<(u16, u16)>) { + type G = MatrixGraph<(), (), Undirected>; + let size = edges.len(); + + // Build test graph + let mut graph = G::with_capacity(order); + for _ in 0..order { + graph.add_node(()); + } + graph.extend_with_edges(edges.iter()); + + // Assert encoded graph6 string is as expected + let graph6_string = graph.graph6_string(); + assert_eq!(graph6_string, graph6_str); + + // Assert decoded graph properties + let decoded_graph = G::from_graph6_string(graph6_string); + assert_eq!(decoded_graph.node_count(), order); + assert_eq!(decoded_graph.edge_count(), size); + + // Assert re-encoded graph6 string is the same + assert_eq!(decoded_graph.graph6_string(), graph6_str); +} + +#[test] +fn graph6_for_csr_test_cases() { + for (order, graph6_str, edges) in TEST_CASES { + test_graph6_for_csr(graph6_str, order, edges.to_vec()); + } +} + +fn test_graph6_for_csr(graph6_str: &str, order: usize, edges: Vec<(u16, u16)>) { + type G = Csr<(), (), Undirected, u16>; + let size = edges.len(); + + // Build test graph + let mut graph = G::new(); + let mut nodes = Vec::new(); + for _ in 0..order { + let i = graph.add_node(()); + nodes.push(i); + } + for (a, b) in edges { + graph.add_edge(a, b, ()); + } + + // Assert encoded graph6 string is as expected + let graph6_string = graph.graph6_string(); + assert_eq!(graph6_string, graph6_str); + + // Assert decoded graph properties + let decoded_graph = G::from_graph6_string(graph6_string); + assert_eq!(decoded_graph.node_count(), order); + assert_eq!(decoded_graph.edge_count(), size); + + // Assert re-encoded graph6 string is the same + assert_eq!(decoded_graph.graph6_string(), graph6_str); +} + +// Test cases format: (graph order, expected ghaph6 representation, graph edges) +#[allow(clippy::type_complexity)] +#[rustfmt::skip] +const TEST_CASES: [(usize, &str, &[(u16, u16)]); 20] = [ + // Empty Graphs + (0, r"?", &[]), + (1, r"@", &[]), + (2, r"A?", &[]), + // Small Graphs + (5, r"DQc", &[(0, 2), (0, 4), (1, 3), (3, 4)]), + (5, r"Dhc", &[(0, 1), (0, 4), (1, 2), (2, 3), (3, 4)]), + (5, r"D^k", &[(0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (2, 3), (2, 4), (3, 4)]), + (6, r"E@??", &[(2, 3)]), + (6, r"Ej]o", &[(0, 1), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5)]), + (9, r"H?O??_k", &[(1, 4), (2, 8), (3, 7), (4, 8), (5, 8)]), + (10, r"IrGoS@?o_", &[(0, 1), (0, 2), (0, 7), (0, 9), (1, 3), (1, 8), (1, 9), (2, 3), (2, 4), (2, 5), (3, 5), (4, 6), (6, 9)]), + (10, r"I~~~~~~~w", &[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9), (8, 9)]), + (11, r"Jsa@IchDIS_", &[(6, 10), (9, 10), (6, 7), (7, 8), (8, 9), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 10), (1, 7), (2, 6), (2, 8), (3, 7), (3, 9), (4, 10), (4, 8), (5, 6), (5, 9)]), + // Complete Graphs + (2, r"A_", &[(0, 1)]), + (3, r"Bw", &[(0, 1), (0, 2), (1, 2)]), + (5, r"D~{", &[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]), + (7, r"F~~~w", &[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]), + // Petersen + (10, r"IheA@GUAo", &[(0, 1), (0, 4), (0, 5), (1, 2), (1, 6), (2, 3), (2, 7), (3, 4), (3, 8), (4, 9), (5, 7), (5, 8), (6, 8), (6, 9), (7, 9)]), + // Flower + ( + 20, r"ShCGHC@?GGg@?@?Gp?K??C?CA?G?_G?Cc", + &[(0, 1), (0, 14), (0, 15), (1, 2), (1, 11), (2, 3), (2, 7), (3, 16), (3, 4), (4, 5), (4, 14), (5, 6), (5, 10), (6, 17), (6, 7), (7, 8), (8, 9), (8, 13), (9, 18), (9, 10), (10, 11), (11, 12), (12, 19), (12, 13), (13, 14), (15, 16), (15, 19), (16, 17), (17, 18), (18, 19)], + ), + // Corner Case: order = 62 + ( + 62, r"}x@?xx|G[RO{QRDDMWAJ@XAT\M@IBsP?P[jJKOECP_QKSsL@_Th?mUp@@WC_woIl_nI?AF_ISAGNGxe?pikrJVOwWEqoMKhWGAjk[XPn?WUGrWC]jUjwPJLF@?OU?IGSoqT_rpEM[KCpTvGYBgRvOyJ`\adaY?qsESfR{IQWs?mT}bB@[|?p}MOCOEUZKMw]xKeV[en_EK{eBN?Add?H_@GeE_Bo@?_?PmabQuWc?FHVWcwCLWUF]l??WdIOtyePOc`Sb{SGCU[[__b[OiWnDeCXB@CwW@q_GAYY^eWD[tmoPDf{W]eKjzWCCKOj_", + &[(0, 32), (0, 1), (0, 49), (0, 2), (0, 35), (0, 19), (0, 52), (0, 37), (0, 22), (0, 54), (0, 40), (0, 10), (0, 58), (0, 11), (0, 59), (0, 44), (0, 28), (0, 61), (0, 29), (0, 31), (1, 32), (1, 16), (1, 17), (1, 2), (1, 50), (1, 35), (1, 36), (1, 20), (1, 5), (1, 38), (1, 23), (1, 8), (1, 57), (1, 42), (1, 60), (1, 12), (1, 45), (1, 30), (1, 14), (1, 46), (1, 31), (1, 15), (1, 47), (2, 16), (2, 48), (2, 34), (2, 18), (2, 50), (2, 3), (2, 35), (2, 51), (2, 37), (2, 21), (2, 53), (2, 38), (2, 7), (2, 23), (2, 8), (2, 56), (2, 9), (2, 57), (2, 42), (2, 58), (2, 43), (2, 60), (2, 44), (2, 14), (2, 46), (2, 47), (3, 48), (3, 33), (3, 17), (3, 49), (3, 50), (3, 36), (3, 20), (3, 21), (3, 6), (3, 7), (3, 55), (3, 8), (3, 57), (3, 42), (3, 58), (3, 27), (3, 59), (3, 60), (3, 44), (3, 61), (3, 13), (3, 14), (3, 47), (4, 32), (4, 48), (4, 33), (4, 17), (4, 49), (4, 34), (4, 50), (4, 19), (4, 36), (4, 20), (4, 37), (4, 6), (4, 38), (4, 22), (4, 7), (4, 8), (4, 10), (4, 26), (4, 43), (4, 27), (4, 12), (4, 61), (4, 45), (5, 16), (5, 17), (5, 34), (5, 18), (5, 51), (5, 20), (5, 37), (5, 53), (5, 6), (5, 54), (5, 7), (5, 39), (5, 8), (5, 24), (5, 41), (5, 42), (5, 11), (5, 43), (5, 27), (5, 59), (5, 44), (5, 13), (5, 29), (5, 30), (5, 15), (6, 32), (6, 48), (6, 33), (6, 49), (6, 35), (6, 54), (6, 23), (6, 55), (6, 40), (6, 24), (6, 25), (6, 57), (6, 58), (6, 11), (6, 43), (6, 60), (6, 28), (6, 29), (6, 14), (6, 47), (7, 32), (7, 48), (7, 33), (7, 17), (7, 18), (7, 35), (7, 37), (7, 21), (7, 39), (7, 8), (7, 40), (7, 56), (7, 9), (7, 10), (7, 58), (7, 11), (7, 60), (7, 12), (7, 45), (7, 29), (7, 14), (7, 46), (7, 15), (8, 48), (8, 49), (8, 19), (8, 36), (8, 20), (8, 38), (8, 22), (8, 54), (8, 23), (8, 55), (8, 9), (8, 41), (8, 25), (8, 10), (8, 11), (8, 43), (8, 28), (8, 61), (8, 45), (8, 29), (8, 46), (8, 15), (9, 32), (9, 49), (9, 51), (9, 37), (9, 38), (9, 22), (9, 56), (9, 41), (9, 25), (9, 43), (9, 27), (9, 60), (9, 28), (9, 61), (9, 13), (9, 31), (10, 16), (10, 33), (10, 17), (10, 49), (10, 35), (10, 20), (10, 37), (10, 38), (10, 54), (10, 40), (10, 25), (10, 42), (10, 26), (10, 27), (10, 12), (10, 28), (10, 31), (11, 32), (11, 17), (11, 49), (11, 34), (11, 54), (11, 39), (11, 23), (11, 55), (11, 40), (11, 56), (11, 60), (11, 12), (11, 44), (11, 28), (11, 13), (11, 30), (12, 32), (12, 33), (12, 17), (12, 49), (12, 35), (12, 51), (12, 36), (12, 20), (12, 37), (12, 23), (12, 40), (12, 57), (12, 26), (12, 58), (12, 60), (12, 44), (12, 61), (12, 45), (12, 30), (13, 32), (13, 16), (13, 48), (13, 33), (13, 18), (13, 51), (13, 36), (13, 20), (13, 52), (13, 55), (13, 40), (13, 24), (13, 41), (13, 25), (13, 42), (13, 26), (13, 43), (13, 59), (13, 45), (13, 30), (14, 48), (14, 18), (14, 37), (14, 23), (14, 56), (14, 42), (14, 60), (14, 28), (14, 61), (14, 30), (14, 46), (14, 31), (14, 15), (14, 47), (15, 32), (15, 16), (15, 48), (15, 18), (15, 50), (15, 21), (15, 24), (15, 41), (15, 25), (15, 42), (15, 43), (15, 60), (15, 44), (15, 45), (15, 31), (16, 48), (16, 18), (16, 35), (16, 19), (16, 36), (16, 20), (16, 37), (16, 21), (16, 38), (16, 22), (16, 54), (16, 39), (16, 55), (16, 25), (16, 42), (16, 58), (16, 60), (16, 28), (16, 61), (16, 29), (16, 46), (17, 50), (17, 35), (17, 36), (17, 52), (17, 37), (17, 53), (17, 40), (17, 24), (17, 41), (17, 58), (17, 27), (17, 44), (17, 61), (17, 30), (17, 46), (17, 31), (18, 48), (18, 51), (18, 20), (18, 52), (18, 37), (18, 53), (18, 54), (18, 39), (18, 24), (18, 56), (18, 25), (18, 57), (18, 42), (18, 43), (18, 60), (18, 61), (18, 29), (18, 46), (18, 47), (19, 48), (19, 34), (19, 35), (19, 51), (19, 36), (19, 20), (19, 37), (19, 53), (19, 22), (19, 54), (19, 23), (19, 56), (19, 41), (19, 25), (19, 42), (19, 27), (19, 60), (19, 61), (19, 31), (20, 32), (20, 48), (20, 33), (20, 50), (20, 35), (20, 36), (20, 52), (20, 37), (20, 23), (20, 24), (20, 56), (20, 41), (20, 42), (20, 26), (20, 58), (20, 43), (20, 44), (20, 61), (21, 32), (21, 33), (21, 49), (21, 34), (21, 35), (21, 51), (21, 52), (21, 39), (21, 55), (21, 40), (21, 56), (21, 41), (21, 43), (21, 27), (21, 59), (21, 29), (21, 30), (21, 46), (21, 31), (22, 32), (22, 33), (22, 49), (22, 50), (22, 35), (22, 52), (22, 53), (22, 39), (22, 23), (22, 55), (22, 40), (22, 56), (22, 57), (22, 42), (22, 61), (22, 30), (22, 46), (23, 48), (23, 34), (23, 50), (23, 24), (23, 56), (23, 41), (23, 25), (23, 57), (23, 26), (23, 27), (23, 44), (23, 61), (23, 29), (23, 30), (23, 46), (23, 31), (24, 52), (24, 38), (24, 54), (24, 55), (24, 41), (24, 27), (24, 59), (24, 44), (24, 45), (24, 46), (24, 31), (25, 34), (25, 37), (25, 53), (25, 54), (25, 41), (25, 57), (25, 58), (25, 43), (25, 59), (25, 60), (25, 44), (25, 61), (26, 48), (26, 33), (26, 49), (26, 34), (26, 50), (26, 54), (26, 55), (26, 40), (26, 57), (26, 58), (26, 27), (26, 61), (26, 45), (26, 30), (26, 46), (26, 47), (27, 32), (27, 48), (27, 33), (27, 49), (27, 34), (27, 36), (27, 53), (27, 39), (27, 55), (27, 40), (27, 56), (27, 57), (27, 42), (27, 59), (27, 44), (27, 45), (27, 30), (27, 31), (27, 47), (28, 32), (28, 50), (28, 52), (28, 54), (28, 39), (28, 55), (28, 40), (28, 41), (28, 42), (28, 43), (28, 45), (28, 31), (29, 34), (29, 37), (29, 53), (29, 54), (29, 55), (29, 56), (29, 42), (29, 43), (29, 60), (30, 48), (30, 33), (30, 49), (30, 34), (30, 35), (30, 52), (30, 53), (30, 38), (30, 54), (30, 59), (30, 44), (30, 47), (31, 49), (31, 35), (31, 51), (31, 36), (31, 53), (31, 54), (31, 39), (31, 55), (31, 40), (31, 57), (31, 42), (31, 43), (31, 59), (31, 44), (31, 45), (32, 33), (32, 49), (32, 51), (32, 36), (32, 37), (32, 38), (32, 40), (32, 58), (32, 44), (32, 47), (33, 48), (33, 49), (33, 51), (33, 36), (33, 53), (33, 38), (33, 54), (33, 55), (33, 40), (33, 41), (33, 59), (33, 60), (33, 44), (33, 61), (33, 45), (33, 46), (33, 47), (34, 48), (34, 51), (34, 36), (34, 52), (34, 37), (34, 53), (34, 39), (34, 56), (34, 41), (34, 44), (34, 46), (35, 52), (35, 37), (35, 54), (35, 42), (35, 60), (35, 44), (35, 45), (36, 49), (36, 54), (36, 39), (36, 55), (36, 41), (36, 57), (36, 58), (36, 59), (36, 60), (36, 45), (36, 47), (37, 48), (37, 50), (37, 52), (37, 55), (37, 42), (37, 59), (37, 45), (37, 47), (38, 53), (38, 54), (38, 39), (38, 40), (38, 57), (38, 42), (38, 59), (38, 45), (38, 46), (39, 48), (39, 49), (39, 40), (39, 42), (39, 58), (39, 43), (39, 59), (39, 60), (39, 61), (39, 45), (39, 46), (39, 47), (40, 48), (40, 49), (40, 50), (40, 52), (40, 55), (40, 57), (40, 58), (40, 43), (40, 59), (40, 60), (40, 44), (40, 45), (40, 46), (40, 47), (41, 48), (41, 50), (41, 53), (41, 56), (41, 58), (41, 59), (41, 60), (41, 46), (42, 52), (42, 60), (42, 44), (42, 45), (42, 46), (43, 48), (43, 52), (43, 57), (43, 60), (43, 46), (43, 47), (44, 48), (44, 51), (44, 53), (44, 55), (44, 57), (44, 59), (44, 60), (44, 61), (44, 47), (45, 48), (45, 52), (45, 53), (45, 56), (45, 59), (45, 60), (45, 61), (46, 49), (46, 52), (46, 53), (46, 55), (46, 58), (47, 49), (47, 56), (47, 58), (48, 56), (48, 57), (48, 59), (49, 52), (49, 59), (49, 60), (49, 61), (50, 52), (50, 57), (50, 60), (51, 55), (51, 56), (51, 57), (52, 54), (52, 56), (52, 57), (53, 54), (53, 56), (53, 57), (54, 55), (54, 61), (55, 60), (56, 58), (56, 59), (56, 60), (56, 61), (57, 58), (57, 60), (58, 59), (58, 60), (58, 61), (59, 61), (60, 61)], + ), + // Corner Case: order = 63 + ( + 63, r"~??~`U@aoLr_G\V`YnUdSA[@PG?CjSvrrFONaJODKrXQMOMEcExcwEILVHfUDsB[rGLhVVYJgI?DRSBAgsFwAVzs@gct_AL`NkAoRCaHOaTGWcgPs{@a_s^HLZBaB_[W_o__U|aRGLpdK@{EJ?xQOCcOksK_X@AI`aleB\KDwlOX?_@`_K@SD?QOQ?dAz]?hb{UYvdRRoQPrGKdgfUKIDQM\mZCjJW|?~XcoyIHEr~HycEDToBFD?_DT?bYNaQaQ`BMAYWuyo@Uz{dQwViiepaHfAdaaGO[CHW]ggCka?s@g@b?cbI[a@`BlU^nFxy?YL?R[GKIPm_", + &[(0, 32), (0, 48), (0, 1), (0, 33), (0, 49), (0, 34), (0, 18), (0, 51), (0, 36), (0, 20), (0, 5), (0, 37), (0, 53), (0, 38), (0, 54), (0, 55), (0, 40), (0, 24), (0, 56), (0, 9), (0, 58), (0, 11), (0, 43), (0, 59), (0, 60), (0, 12), (0, 44), (0, 28), (0, 61), (0, 13), (0, 45), (0, 29), (0, 62), (0, 31), (0, 47), (1, 32), (1, 16), (1, 49), (1, 35), (1, 19), (1, 51), (1, 4), (1, 20), (1, 52), (1, 53), (1, 38), (1, 54), (1, 7), (1, 23), (1, 55), (1, 24), (1, 9), (1, 57), (1, 42), (1, 58), (1, 11), (1, 27), (1, 59), (1, 29), (1, 30), (1, 62), (1, 15), (2, 32), (2, 50), (2, 3), (2, 19), (2, 20), (2, 52), (2, 6), (2, 22), (2, 54), (2, 23), (2, 55), (2, 24), (2, 25), (2, 26), (2, 58), (2, 11), (2, 27), (2, 60), (2, 44), (2, 28), (2, 13), (2, 45), (2, 29), (2, 30), (2, 14), (3, 32), (3, 18), (3, 50), (3, 4), (3, 36), (3, 21), (3, 6), (3, 38), (3, 7), (3, 39), (3, 23), (3, 55), (3, 56), (3, 26), (3, 43), (3, 13), (3, 45), (3, 62), (3, 47), (4, 48), (4, 18), (4, 50), (4, 35), (4, 51), (4, 37), (4, 53), (4, 38), (4, 22), (4, 7), (4, 8), (4, 40), (4, 56), (4, 9), (4, 25), (4, 57), (4, 42), (4, 26), (4, 11), (4, 27), (4, 44), (4, 13), (4, 29), (4, 30), (4, 14), (4, 15), (5, 32), (5, 16), (5, 48), (5, 17), (5, 51), (5, 52), (5, 21), (5, 8), (5, 24), (5, 9), (5, 10), (5, 27), (5, 12), (5, 44), (5, 28), (5, 61), (5, 13), (5, 45), (5, 46), (5, 15), (6, 48), (6, 18), (6, 50), (6, 35), (6, 19), (6, 36), (6, 20), (6, 52), (6, 37), (6, 54), (6, 24), (6, 9), (6, 57), (6, 26), (6, 11), (6, 27), (6, 59), (6, 30), (6, 14), (6, 46), (6, 31), (6, 15), (7, 48), (7, 49), (7, 34), (7, 18), (7, 19), (7, 51), (7, 53), (7, 22), (7, 55), (7, 8), (7, 40), (7, 41), (7, 57), (7, 58), (7, 59), (7, 12), (7, 44), (7, 28), (7, 13), (7, 45), (7, 62), (7, 31), (8, 16), (8, 48), (8, 17), (8, 18), (8, 50), (8, 19), (8, 51), (8, 36), (8, 21), (8, 53), (8, 54), (8, 23), (8, 56), (8, 41), (8, 25), (8, 57), (8, 26), (8, 11), (8, 59), (8, 12), (8, 44), (8, 62), (8, 14), (8, 31), (9, 48), (9, 34), (9, 18), (9, 50), (9, 52), (9, 21), (9, 53), (9, 38), (9, 39), (9, 23), (9, 24), (9, 56), (9, 41), (9, 25), (9, 26), (9, 58), (9, 11), (9, 27), (9, 59), (9, 28), (9, 13), (9, 31), (10, 33), (10, 17), (10, 49), (10, 34), (10, 18), (10, 19), (10, 20), (10, 53), (10, 38), (10, 39), (10, 55), (10, 40), (10, 41), (10, 11), (10, 43), (10, 27), (10, 12), (10, 28), (10, 61), (10, 13), (10, 29), (10, 62), (10, 31), (11, 35), (11, 38), (11, 22), (11, 23), (11, 40), (11, 56), (11, 41), (11, 25), (11, 43), (11, 59), (11, 60), (11, 44), (11, 28), (11, 61), (11, 31), (11, 47), (12, 17), (12, 51), (12, 20), (12, 52), (12, 37), (12, 21), (12, 53), (12, 22), (12, 24), (12, 56), (12, 42), (12, 58), (12, 60), (12, 44), (12, 61), (12, 13), (12, 29), (13, 32), (13, 48), (13, 17), (13, 49), (13, 18), (13, 50), (13, 36), (13, 20), (13, 52), (13, 37), (13, 21), (13, 22), (13, 55), (13, 24), (13, 25), (13, 57), (13, 27), (13, 59), (13, 28), (13, 45), (13, 30), (14, 32), (14, 33), (14, 18), (14, 50), (14, 53), (14, 23), (14, 40), (14, 24), (14, 56), (14, 26), (14, 58), (14, 43), (14, 27), (14, 61), (14, 45), (14, 30), (14, 46), (14, 15), (14, 47), (15, 48), (15, 33), (15, 17), (15, 18), (15, 35), (15, 51), (15, 20), (15, 37), (15, 38), (15, 54), (15, 39), (15, 55), (15, 56), (15, 25), (15, 57), (15, 42), (15, 58), (15, 28), (15, 61), (16, 32), (16, 48), (16, 34), (16, 18), (16, 21), (16, 22), (16, 56), (16, 25), (16, 57), (16, 26), (16, 60), (16, 28), (16, 46), (16, 47), (17, 33), (17, 49), (17, 19), (17, 51), (17, 36), (17, 21), (17, 53), (17, 41), (17, 25), (17, 57), (17, 26), (17, 27), (17, 59), (17, 60), (17, 28), (17, 61), (17, 45), (18, 33), (18, 49), (18, 35), (18, 19), (18, 36), (18, 52), (18, 56), (18, 41), (18, 57), (18, 42), (18, 26), (18, 44), (18, 62), (18, 46), (19, 48), (19, 49), (19, 34), (19, 50), (19, 51), (19, 36), (19, 52), (19, 37), (19, 21), (19, 55), (19, 58), (19, 59), (19, 44), (19, 28), (19, 61), (19, 30), (19, 31), (20, 32), (20, 48), (20, 34), (20, 35), (20, 51), (20, 52), (20, 37), (20, 21), (20, 23), (20, 40), (20, 56), (20, 25), (20, 57), (20, 26), (20, 43), (20, 28), (21, 50), (21, 36), (21, 37), (21, 38), (21, 39), (21, 23), (21, 40), (21, 24), (21, 56), (21, 58), (21, 44), (21, 61), (21, 30), (21, 62), (21, 47), (22, 48), (22, 49), (22, 35), (22, 52), (22, 37), (22, 38), (22, 55), (22, 24), (22, 41), (22, 57), (22, 42), (22, 44), (22, 28), (22, 61), (22, 62), (22, 31), (23, 32), (23, 33), (23, 49), (23, 51), (23, 37), (23, 53), (23, 38), (23, 40), (23, 25), (23, 27), (23, 44), (23, 29), (23, 30), (23, 47), (24, 48), (24, 34), (24, 36), (24, 53), (24, 54), (24, 40), (24, 41), (24, 25), (24, 57), (24, 27), (24, 60), (24, 45), (24, 62), (24, 46), (24, 31), (24, 47), (25, 48), (25, 35), (25, 51), (25, 36), (25, 55), (25, 40), (25, 41), (25, 58), (25, 43), (25, 44), (25, 61), (25, 29), (25, 62), (25, 31), (25, 47), (26, 32), (26, 33), (26, 49), (26, 50), (26, 51), (26, 36), (26, 52), (26, 37), (26, 54), (26, 57), (26, 27), (26, 59), (26, 28), (26, 61), (26, 62), (26, 46), (26, 31), (27, 32), (27, 48), (27, 33), (27, 34), (27, 36), (27, 55), (27, 42), (27, 60), (27, 61), (27, 29), (27, 30), (27, 31), (27, 47), (28, 48), (28, 33), (28, 50), (28, 51), (28, 52), (28, 54), (28, 39), (28, 57), (28, 44), (28, 61), (28, 30), (28, 31), (28, 47), (29, 32), (29, 48), (29, 33), (29, 51), (29, 37), (29, 53), (29, 40), (29, 42), (29, 58), (29, 43), (29, 59), (29, 44), (29, 61), (29, 31), (30, 48), (30, 33), (30, 50), (30, 35), (30, 38), (30, 54), (30, 39), (30, 40), (30, 57), (30, 42), (30, 60), (30, 61), (30, 47), (31, 32), (31, 34), (31, 35), (31, 53), (31, 38), (31, 39), (31, 56), (31, 43), (31, 59), (31, 62), (31, 47), (32, 33), (32, 49), (32, 52), (32, 37), (32, 38), (32, 54), (32, 55), (32, 41), (32, 59), (32, 61), (32, 47), (33, 48), (33, 49), (33, 50), (33, 51), (33, 37), (33, 53), (33, 39), (33, 40), (33, 56), (33, 41), (33, 57), (33, 42), (33, 43), (33, 61), (33, 47), (34, 51), (34, 39), (34, 41), (34, 57), (34, 42), (34, 58), (34, 60), (34, 61), (34, 46), (35, 48), (35, 51), (35, 36), (35, 52), (35, 37), (35, 53), (35, 39), (35, 40), (35, 56), (35, 59), (35, 60), (35, 44), (35, 61), (35, 45), (36, 49), (36, 51), (36, 38), (36, 39), (36, 56), (36, 57), (36, 42), (36, 45), (37, 48), (37, 50), (37, 53), (37, 38), (37, 55), (37, 41), (37, 57), (37, 44), (37, 62), (37, 46), (38, 50), (38, 51), (38, 53), (38, 39), (38, 55), (38, 40), (38, 56), (38, 43), (38, 60), (38, 44), (38, 62), (39, 49), (39, 50), (39, 52), (39, 53), (39, 54), (39, 40), (39, 56), (39, 41), (39, 43), (39, 59), (39, 44), (39, 61), (40, 48), (40, 52), (40, 56), (40, 58), (40, 60), (40, 44), (40, 61), (40, 46), (41, 48), (41, 49), (41, 55), (41, 57), (41, 42), (41, 58), (41, 61), (41, 45), (41, 47), (42, 49), (42, 50), (42, 52), (42, 55), (42, 56), (42, 57), (42, 58), (42, 61), (42, 45), (43, 48), (43, 50), (43, 52), (43, 54), (43, 55), (43, 56), (43, 60), (43, 61), (43, 62), (43, 47), (44, 49), (44, 50), (44, 54), (44, 56), (44, 60), (44, 61), (45, 51), (45, 56), (45, 60), (45, 62), (46, 48), (46, 50), (46, 51), (46, 52), (46, 54), (46, 56), (46, 57), (46, 47), (47, 48), (47, 50), (47, 51), (47, 52), (47, 54), (47, 56), (47, 59), (47, 61), (48, 49), (48, 51), (48, 52), (48, 53), (48, 58), (48, 59), (48, 60), (48, 61), (48, 62), (49, 50), (49, 51), (49, 52), (49, 53), (49, 54), (49, 55), (49, 61), (50, 51), (50, 52), (50, 56), (50, 57), (50, 59), (50, 61), (51, 52), (52, 55), (52, 60), (52, 61), (52, 62), (53, 54), (53, 55), (53, 56), (53, 57), (53, 58), (53, 62), (54, 57), (55, 56), (55, 62), (56, 58), (56, 62), (57, 62), (58, 59), (59, 60), (59, 62)], + ), +]; diff --git a/vendor/petgraph/tests/graphmap.rs b/vendor/petgraph/tests/graphmap.rs new file mode 100644 index 00000000..2b15a88d --- /dev/null +++ b/vendor/petgraph/tests/graphmap.rs @@ -0,0 +1,443 @@ +#![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 dfs.next(&gr).is_some() { + cnt += 1; + } + assert_eq!(cnt, 4); + } + { + let mut cnt = 0; + let mut dfs = Dfs::new(&gr, z); + while dfs.next(&gr).is_some() { + 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_some()); + + // duplicate self loop - no + assert!(gr.add_edge(b, b, ()).is_some()); + 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); +} + +#[test] +#[cfg(feature = "rayon")] +fn test_parallel_iterator() { + use rayon::prelude::*; + let mut gr: DiGraphMap<u32, u32> = DiGraphMap::new(); + + for i in 0..1000 { + gr.add_node(i); + } + + let serial_sum: u32 = gr.nodes().sum(); + let parallel_sum: u32 = gr.par_nodes().sum(); + assert_eq!(serial_sum, parallel_sum); + + gr.par_nodes() + .enumerate() + .for_each(|(i, n)| assert_eq!(i as u32, n)); + + for i in 0..1000 { + gr.add_edge(i / 2, i, i + i / 2); + } + + let serial_sum: u32 = gr.all_edges().map(|(.., &e)| e).sum(); + let parallel_sum: u32 = gr.par_all_edges().map(|(.., &e)| e).sum(); + assert_eq!(serial_sum, parallel_sum); + + gr.par_all_edges_mut().for_each(|(n1, n2, e)| *e -= n1 + n2); + gr.all_edges().for_each(|(.., &e)| assert_eq!(e, 0)); +} + +#[test] +fn test_alternative_hasher() { + let mut gr: GraphMap<&str, u32, Directed, fxhash::FxBuildHasher> = GraphMap::new(); + gr.add_node("abc"); + gr.add_node("def"); + gr.add_node("ghi"); + + gr.add_edge("abc", "def", 1); + + assert!(gr.contains_edge("abc", "def")); + assert!(!gr.contains_edge("abc", "ghi")); +} diff --git a/vendor/petgraph/tests/iso.rs b/vendor/petgraph/tests/iso.rs new file mode 100644 index 00000000..5bec797a --- /dev/null +++ b/vendor/petgraph/tests/iso.rs @@ -0,0 +1,638 @@ +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 +"; diff --git a/vendor/petgraph/tests/k_shortest_path.rs b/vendor/petgraph/tests/k_shortest_path.rs new file mode 100644 index 00000000..cd5b4fe9 --- /dev/null +++ b/vendor/petgraph/tests/k_shortest_path.rs @@ -0,0 +1,63 @@ +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); +} diff --git a/vendor/petgraph/tests/list.rs b/vendor/petgraph/tests/list.rs new file mode 100644 index 00000000..4b8e2290 --- /dev/null +++ b/vendor/petgraph/tests/list.rs @@ -0,0 +1,259 @@ +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" ] +} +"# + ); +} diff --git a/vendor/petgraph/tests/matching.rs b/vendor/petgraph/tests/matching.rs new file mode 100644 index 00000000..963c214f --- /dev/null +++ b/vendor/petgraph/tests/matching.rs @@ -0,0 +1,141 @@ +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()); +} diff --git a/vendor/petgraph/tests/min_spanning_tree.rs b/vendor/petgraph/tests/min_spanning_tree.rs new file mode 100644 index 00000000..de2cf268 --- /dev/null +++ b/vendor/petgraph/tests/min_spanning_tree.rs @@ -0,0 +1,59 @@ +use petgraph::{algo::min_spanning_tree, dot::Dot, graph::UnGraph, Graph}; + +#[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()); +} diff --git a/vendor/petgraph/tests/operator.rs b/vendor/petgraph/tests/operator.rs new file mode 100644 index 00000000..031d6d62 --- /dev/null +++ b/vendor/petgraph/tests/operator.rs @@ -0,0 +1,40 @@ +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)); + } + } +} diff --git a/vendor/petgraph/tests/page_rank.rs b/vendor/petgraph/tests/page_rank.rs new file mode 100644 index 00000000..224415eb --- /dev/null +++ b/vendor/petgraph/tests/page_rank.rs @@ -0,0 +1,83 @@ +use petgraph::{algo::page_rank, Graph}; + +#[cfg(feature = "rayon")] +use petgraph::algo::page_rank::parallel_page_rank; + +fn graph_example() -> Graph<String, f32> { + // Taken and adapted from https://github.com/neo4j-labs/graph?tab=readme-ov-file#how-to-run-algorithms + let mut graph = Graph::<_, f32>::new(); + graph.add_node("A".to_owned()); + graph.add_node("B".to_owned()); + graph.add_node("C".to_owned()); + graph.add_node("D".to_owned()); + graph.add_node("E".to_owned()); + graph.add_node("F".to_owned()); + graph.add_node("G".to_owned()); + graph.add_node("H".to_owned()); + graph.add_node("I".to_owned()); + graph.add_node("J".to_owned()); + graph.add_node("K".to_owned()); + graph.add_node("L".to_owned()); + graph.add_node("M".to_owned()); + graph.extend_with_edges(&[ + (1, 2), // B->C + (2, 1), // C->B + (4, 0), // D->A + (4, 1), // D->B + (5, 4), // E->D + (5, 1), // E->B + (5, 6), // E->F + (6, 1), // F->B + (6, 5), // F->E + (7, 1), // G->B + (7, 5), // F->E + (8, 1), // G->B + (8, 5), // G->E + (9, 1), // H->B + (9, 5), // H->E + (10, 1), // I->B + (10, 5), // I->E + (11, 5), // J->B + (12, 5), // K->B + ]); + graph +} + +fn expected_ranks() -> Vec<f32> { + vec![ + 0.029228685, + 0.38176042, + 0.3410649, + 0.014170233, + 0.035662483, + 0.077429585, + 0.035662483, + 0.014170233, + 0.014170233, + 0.014170233, + 0.014170233, + 0.014170233, + 0.014170233, + ] +} + +#[test] +fn test_page_rank() { + let graph = graph_example(); + let output_ranks = page_rank(&graph, 0.85_f32, 100); + assert_eq!(expected_ranks(), output_ranks); +} + +#[test] +#[cfg(feature = "rayon")] + +fn test_par_page_rank() { + let graph = graph_example(); + let output_ranks = parallel_page_rank(&graph, 0.85_f32, 100, Some(1e-12)); + assert!(!expected_ranks() + .iter() + .zip(output_ranks) + .any(|(expected, computed)| ((expected - computed).abs() > 1e-6) + || computed.is_nan() + || expected.is_nan())); +} diff --git a/vendor/petgraph/tests/quickcheck.rs b/vendor/petgraph/tests/quickcheck.rs new file mode 100644 index 00000000..899e053e --- /dev/null +++ b/vendor/petgraph/tests/quickcheck.rs @@ -0,0 +1,1457 @@ +#![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::{BTreeSet, HashMap, 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, dsatur_coloring, find_negative_cycle, floyd_warshall, + ford_fulkerson, 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, page_rank, 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, EdgeIndexable, 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; + } + } + + { + order.clear(); + let init_nodes = gr.node_identifiers().filter(|n| { + gr.neighbors_directed(n.clone(), Direction::Incoming) + .next() + .is_none() + }); + let mut topo = Topo::with_initials(&gr, init_nodes); + while let Some(nx) = topo.next(&gr) { + order.push(nx); + } + if !is_topo_order(&gr, &order) { + println!("{:?}", gr); + return false; + } + } + + { + order.clear(); + let mut topo = Topo::with_initials(&gr, gr.node_identifiers()); + 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 + } +} + +quickcheck! { + // The ranks are probabilities, + // as such they are positive and they should sum up to 1. + fn test_page_rank_proba(gr: Graph<(), f32>) -> bool { + if gr.node_count() == 0 { + return true; + } + let tol = 1e-10; + let ranks: Vec<f64> = page_rank(&gr, 0.85_f64, 5); + let at_least_one_neg_rank = ranks.iter().any(|rank| *rank < 0.); + let not_sumup_to_one = (ranks.iter().sum::<f64>() - 1.).abs() > tol; + if at_least_one_neg_rank | not_sumup_to_one{ + return false; + } + true + } +} + +fn sum_flows<N, F: std::iter::Sum + Copy>( + gr: &Graph<N, F>, + flows: &[F], + node: NodeIndex, + dir: Direction, +) -> F { + gr.edges_directed(node, dir) + .map(|edge| flows[EdgeIndexable::to_index(&gr, edge.id())]) + .sum::<F>() +} + +quickcheck! { + // 1. (Capacity) + // The flows should be <= capacities + // 2. (Flow conservation) + // For every internal node (i.e a node different from the + // source node and the destination (or sink) node), the sum + // of incoming flows (i.e flows of incoming edges) is equal + // to the sum of the outgoing flows (i.e flows of outgoing edges). + // 3. (Maximum flow) + // It is equal to the sum of the destination node incoming flows and + // also the sum of the outgoing flows of the source node. + fn test_ford_fulkerson_flows(gr: Graph<usize, u32>) -> bool { + if gr.node_count() <= 1 || gr.edge_count() == 0 { + return true; + } + let source = NodeIndex::from(0); + let destination = NodeIndex::from(gr.node_count() as u32 / 2); + let (max_flow, flows) = ford_fulkerson(&gr, source, destination); + let capacity_constraint = flows + .iter() + .enumerate() + .all(|(ix, flow)| flow <= gr.edge_weight(EdgeIndexable::from_index(&gr, ix)).unwrap()); + let flow_conservation_constraint = (0..gr.node_count()).all(|ix| { + let node = NodeIndexable::from_index(&gr, ix); + if (node != source) && (node != destination){ + sum_flows(&gr, &flows, node, Direction::Outgoing) + == sum_flows(&gr, &flows, node, Direction::Incoming) + } else {true} + }); + let max_flow_constaint = (sum_flows(&gr, &flows, source, Direction::Outgoing) == max_flow) + && (sum_flows(&gr, &flows, destination, Direction::Incoming) == max_flow); + return capacity_constraint && flow_conservation_constraint && max_flow_constaint; + } +} + +quickcheck! { + fn test_dynamic_toposort(g: DiGraph<(), ()>) -> bool { + use petgraph::acyclic::Acyclic; + use petgraph::data::{Build, Create}; + use petgraph::algo::toposort; + use std::collections::BTreeMap; + use std::iter; + + // We will re-build `g` from scratch, adding edges one by one. + let mut acylic_g = + Acyclic::<DiGraph<(), ()>>::with_capacity(g.node_count(), g.edge_count()); + let mut new_g = DiGraph::<(), ()>::new(); + + // This test is quite slow, so we bound the number of nodes. + const MAX_NODES: usize = 30; + let nodes: BTreeSet<_> = g.node_indices().take(MAX_NODES).collect(); + + // Add all nodes + let acyclic_nodes: BTreeMap<_, _> = nodes + .iter() + .zip(iter::repeat_with(|| acylic_g.add_node(()))) + .collect(); + let new_nodes: BTreeMap<_, _> = nodes + .iter() + .zip(iter::repeat_with(|| new_g.add_node(()))) + .collect(); + + // Now add edges one by one + for e in g.edge_indices() { + let (src, dst) = g.edge_endpoints(e).unwrap(); + if !nodes.contains(&src) || !nodes.contains(&dst) { + continue; + } + let new_g_backup = new_g.clone(); + + // Add the edge to the new graph + new_g.add_edge(new_nodes[&src], new_nodes[&dst], ()); + let is_dag_exp = toposort(&new_g, None).is_ok(); + + // Add the edge to the acyclic graph + let is_dag_dyn = acylic_g + .try_add_edge(acyclic_nodes[&src], acyclic_nodes[&dst], ()) + .is_ok(); + + // Check that both approaches agree on whether the graph is a DAG + assert_eq!(is_dag_exp, is_dag_dyn); + + if !is_dag_exp { + // Remove the edge that makes it non-acyclic + new_g = new_g_backup; + } + } + true + } +} + +fn is_proper_coloring<G>(g: G, coloring: &HashMap<G::NodeId, usize>) -> bool +where + G: IntoNodeIdentifiers + IntoEdges, + G::NodeId: Eq + Hash, +{ + for node in g.node_identifiers() { + for nbor in g.neighbors(node) { + if node != nbor && coloring[&node] == coloring[&nbor] { + return false; + } + } + } + return true; +} + +quickcheck! { + fn dsatur_coloring_quickcheck(g: Graph<(), (), Undirected>) -> bool { + let (coloring, _) = dsatur_coloring(&g); + assert!(is_proper_coloring(&g, &coloring), "dsatur_coloring returned a non proper coloring"); + true + } +} diff --git a/vendor/petgraph/tests/res/graph_1000n_1000e.txt b/vendor/petgraph/tests/res/graph_1000n_1000e.txt new file mode 100644 index 00000000..8983c778 --- /dev/null +++ b/vendor/petgraph/tests/res/graph_1000n_1000e.txt @@ -0,0 +1,1000 @@ +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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\ No newline at end of file diff --git a/vendor/petgraph/tests/stable_graph.rs b/vendor/petgraph/tests/stable_graph.rs new file mode 100644 index 00000000..48a7b88b --- /dev/null +++ b/vendor/petgraph/tests/stable_graph.rs @@ -0,0 +1,495 @@ +#![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 &node in nodes.iter().take(3) { + let _ = g.remove_node(node); + } + 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()); +} diff --git a/vendor/petgraph/tests/unionfind.rs b/vendor/petgraph/tests/unionfind.rs new file mode 100644 index 00000000..8b54db76 --- /dev/null +++ b/vendor/petgraph/tests/unionfind.rs @@ -0,0 +1,105 @@ +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])); +} diff --git a/vendor/petgraph/tests/utils/mod.rs b/vendor/petgraph/tests/utils/mod.rs new file mode 100644 index 00000000..95b9b374 --- /dev/null +++ b/vendor/petgraph/tests/utils/mod.rs @@ -0,0 +1,3 @@ +mod qc; + +pub use self::qc::*; diff --git a/vendor/petgraph/tests/utils/qc.rs b/vendor/petgraph/tests/utils/qc.rs new file mode 100644 index 00000000..acf22e2b --- /dev/null +++ b/vendor/petgraph/tests/utils/qc.rs @@ -0,0 +1,69 @@ +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)) + } +} |