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| 1 | +use std::{collections::VecDeque, hash::Hash}; |
| 2 | + |
| 3 | +use bitvec::prelude::*; |
| 4 | + |
| 5 | +use crate::prelude::*; |
| 6 | + |
| 7 | +pub fn bfs_directed<NI, G>( |
| 8 | + graph: &G, |
| 9 | + node_id: NI, |
| 10 | + direction: Direction, |
| 11 | +) -> DirectedBreadthFirst<'_, G, NI> |
| 12 | +where |
| 13 | + NI: Idx + Hash, |
| 14 | + G: Graph<NI> + DirectedDegrees<NI> + DirectedNeighbors<NI> + Sync, |
| 15 | +{ |
| 16 | + DirectedBreadthFirst::new(graph, node_id, direction) |
| 17 | +} |
| 18 | + |
| 19 | +pub struct DirectedBreadthFirst<'a, G, NI> { |
| 20 | + graph: &'a G, |
| 21 | + visited: BitVec<usize>, |
| 22 | + queue: VecDeque<NI>, |
| 23 | + direction: Direction, |
| 24 | +} |
| 25 | + |
| 26 | +impl<'a, G, NI> DirectedBreadthFirst<'a, G, NI> |
| 27 | +where |
| 28 | + NI: Idx + Hash, |
| 29 | + G: Graph<NI> + DirectedNeighbors<NI> + Sync, |
| 30 | +{ |
| 31 | + pub fn new(graph: &'a G, node_id: NI, direction: Direction) -> Self { |
| 32 | + Self { |
| 33 | + graph, |
| 34 | + visited: BitVec::repeat(false, graph.node_count().index()), |
| 35 | + queue: VecDeque::from_iter([node_id]), |
| 36 | + direction, |
| 37 | + } |
| 38 | + } |
| 39 | + |
| 40 | + fn dequeue(&mut self) -> Option<NI> { |
| 41 | + loop { |
| 42 | + let node_id = self.queue.pop_front()?; |
| 43 | + |
| 44 | + if !self.visited.replace(node_id.index(), true) { |
| 45 | + return Some(node_id); |
| 46 | + } |
| 47 | + } |
| 48 | + } |
| 49 | + |
| 50 | + fn enqueue_out_neighbors(&mut self, node_id: NI) { |
| 51 | + let neighbors = self |
| 52 | + .graph |
| 53 | + .out_neighbors(node_id) |
| 54 | + .filter(|&node_id| !self.visited[node_id.index()]); |
| 55 | + self.queue.extend(neighbors); |
| 56 | + } |
| 57 | + |
| 58 | + fn enqueue_in_neighbors(&mut self, node_id: NI) { |
| 59 | + let neighbors = self |
| 60 | + .graph |
| 61 | + .in_neighbors(node_id) |
| 62 | + .filter(|&node_id| !self.visited[node_id.index()]); |
| 63 | + self.queue.extend(neighbors); |
| 64 | + } |
| 65 | +} |
| 66 | + |
| 67 | +impl<'a, G, NI> Iterator for DirectedBreadthFirst<'a, G, NI> |
| 68 | +where |
| 69 | + NI: Idx + Hash, |
| 70 | + G: Graph<NI> + DirectedNeighbors<NI> + Sync, |
| 71 | +{ |
| 72 | + type Item = NI; |
| 73 | + |
| 74 | + fn next(&mut self) -> Option<Self::Item> { |
| 75 | + let node_id = self.dequeue()?; |
| 76 | + |
| 77 | + match self.direction { |
| 78 | + Direction::Outgoing => self.enqueue_out_neighbors(node_id), |
| 79 | + Direction::Incoming => self.enqueue_in_neighbors(node_id), |
| 80 | + Direction::Undirected => { |
| 81 | + self.enqueue_out_neighbors(node_id); |
| 82 | + self.enqueue_in_neighbors(node_id); |
| 83 | + } |
| 84 | + } |
| 85 | + |
| 86 | + Some(node_id) |
| 87 | + } |
| 88 | +} |
| 89 | + |
| 90 | +pub fn bfs_undirected<NI, G>(graph: &G, node_id: NI) -> UndirectedBreadthFirst<'_, G, NI> |
| 91 | +where |
| 92 | + NI: Idx + Hash, |
| 93 | + G: Graph<NI> + UndirectedDegrees<NI> + UndirectedNeighbors<NI> + Sync, |
| 94 | +{ |
| 95 | + UndirectedBreadthFirst::new(graph, node_id) |
| 96 | +} |
| 97 | + |
| 98 | +pub struct UndirectedBreadthFirst<'a, G, NI> { |
| 99 | + graph: &'a G, |
| 100 | + visited: BitVec<usize>, |
| 101 | + queue: VecDeque<NI>, |
| 102 | +} |
| 103 | + |
| 104 | +impl<'a, G, NI> UndirectedBreadthFirst<'a, G, NI> |
| 105 | +where |
| 106 | + NI: Idx + Hash + std::fmt::Debug, |
| 107 | + G: Graph<NI> + UndirectedNeighbors<NI> + Sync, |
| 108 | +{ |
| 109 | + pub fn new(graph: &'a G, node_id: NI) -> Self { |
| 110 | + Self { |
| 111 | + graph, |
| 112 | + visited: BitVec::repeat(false, graph.node_count().index()), |
| 113 | + queue: VecDeque::from_iter([node_id]), |
| 114 | + } |
| 115 | + } |
| 116 | + |
| 117 | + fn dequeue(&mut self) -> Option<NI> { |
| 118 | + loop { |
| 119 | + let node_id = self.queue.pop_front()?; |
| 120 | + |
| 121 | + if !self.visited.replace(node_id.index(), true) { |
| 122 | + return Some(node_id); |
| 123 | + } |
| 124 | + } |
| 125 | + } |
| 126 | + |
| 127 | + fn enqueue_neighbors(&mut self, node_id: NI) { |
| 128 | + let neighbors = self |
| 129 | + .graph |
| 130 | + .neighbors(node_id) |
| 131 | + .filter(|&node_id| !self.visited[node_id.index()]); |
| 132 | + |
| 133 | + let neighbors: Vec<_> = neighbors.collect(); |
| 134 | + |
| 135 | + self.queue.extend(neighbors); |
| 136 | + } |
| 137 | +} |
| 138 | + |
| 139 | +impl<'a, G, NI> Iterator for UndirectedBreadthFirst<'a, G, NI> |
| 140 | +where |
| 141 | + NI: Idx + Hash, |
| 142 | + G: Graph<NI> + UndirectedNeighbors<NI> + Sync, |
| 143 | +{ |
| 144 | + type Item = NI; |
| 145 | + |
| 146 | + fn next(&mut self) -> Option<Self::Item> { |
| 147 | + let node_id = self.dequeue()?; |
| 148 | + |
| 149 | + self.enqueue_neighbors(node_id); |
| 150 | + |
| 151 | + Some(node_id) |
| 152 | + } |
| 153 | +} |
| 154 | + |
| 155 | +#[cfg(test)] |
| 156 | +mod tests { |
| 157 | + use super::*; |
| 158 | + use crate::prelude::{CsrLayout, GraphBuilder}; |
| 159 | + |
| 160 | + use super::*; |
| 161 | + mod directed { |
| 162 | + use super::*; |
| 163 | + |
| 164 | + #[test] |
| 165 | + fn acyclic() { |
| 166 | + let graph: DirectedCsrGraph<usize> = GraphBuilder::new() |
| 167 | + .csr_layout(CsrLayout::Deduplicated) |
| 168 | + .edges(vec![(0, 1), (0, 2), (1, 2), (1, 3), (2, 3), (2, 1), (3, 1)]) |
| 169 | + .build(); |
| 170 | + |
| 171 | + let actual: Vec<usize> = bfs_directed(&graph, 0, Direction::Outgoing).collect(); |
| 172 | + let expected: Vec<usize> = vec![0, 1, 2, 3]; |
| 173 | + |
| 174 | + assert_eq!(actual, expected); |
| 175 | + } |
| 176 | + |
| 177 | + #[test] |
| 178 | + fn cyclic() { |
| 179 | + let graph: DirectedCsrGraph<usize> = GraphBuilder::new() |
| 180 | + .csr_layout(CsrLayout::Deduplicated) |
| 181 | + .edges(vec![(0, 1), (0, 2), (1, 2), (1, 3), (2, 1), (2, 1), (3, 1)]) |
| 182 | + .build(); |
| 183 | + |
| 184 | + let actual: Vec<usize> = bfs_directed(&graph, 0, Direction::Outgoing).collect(); |
| 185 | + let expected: Vec<usize> = vec![0, 1, 2, 3]; |
| 186 | + |
| 187 | + assert_eq!(actual, expected); |
| 188 | + } |
| 189 | + } |
| 190 | + |
| 191 | + #[test] |
| 192 | + fn undirected() { |
| 193 | + let graph: UndirectedCsrGraph<usize> = GraphBuilder::new() |
| 194 | + .csr_layout(CsrLayout::Deduplicated) |
| 195 | + .edges(vec![(0, 1), (0, 2), (1, 2), (1, 3), (2, 3), (2, 1), (3, 1)]) |
| 196 | + .build(); |
| 197 | + |
| 198 | + let actual: Vec<usize> = bfs_undirected(&graph, 0).collect(); |
| 199 | + let expected: Vec<usize> = vec![0, 1, 2, 3]; |
| 200 | + |
| 201 | + assert_eq!(actual, expected); |
| 202 | + } |
| 203 | +} |
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