1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405
|
#[cfg(feature = "stable_graph")]
#[cfg(test)]
use petgraph::{
graph::{NodeIndex, UnGraph},
Graph, Undirected,
};
#[cfg(feature = "stable_graph")]
#[cfg(test)]
fn b01_example() -> (UnGraph<(), i32>, Vec<NodeIndex>) {
// Implementing b01 case from Vienna test set B
let mut graph = Graph::<(), i32, Undirected>::new_undirected();
let _n0 = graph.add_node(());
let _n1 = graph.add_node(());
let _n2 = graph.add_node(());
let _n3 = graph.add_node(());
let _n4 = graph.add_node(());
let _n5 = graph.add_node(());
let _n6 = graph.add_node(());
let _n7 = graph.add_node(());
let _n8 = graph.add_node(());
let _n9 = graph.add_node(());
let _n10 = graph.add_node(());
let _n11 = graph.add_node(());
let n12 = graph.add_node(());
let _n13 = graph.add_node(());
let _n14 = graph.add_node(());
let _n15 = graph.add_node(());
let _n16 = graph.add_node(());
let _n17 = graph.add_node(());
let _n18 = graph.add_node(());
let _n19 = graph.add_node(());
let _n20 = graph.add_node(());
let _n21 = graph.add_node(());
let n22 = graph.add_node(());
let _n23 = graph.add_node(());
let n24 = graph.add_node(());
let _n25 = graph.add_node(());
let _n26 = graph.add_node(());
let n27 = graph.add_node(());
let _n28 = graph.add_node(());
let _n29 = graph.add_node(());
let _n30 = graph.add_node(());
let _n31 = graph.add_node(());
let _n32 = graph.add_node(());
let _n33 = graph.add_node(());
let n34 = graph.add_node(());
let n35 = graph.add_node(());
let _n36 = graph.add_node(());
let n37 = graph.add_node(());
let _n38 = graph.add_node(());
let _n39 = graph.add_node(());
let _n40 = graph.add_node(());
let _n41 = graph.add_node(());
let _n42 = graph.add_node(());
let _n43 = graph.add_node(());
let _n44 = graph.add_node(());
let _n45 = graph.add_node(());
let _n46 = graph.add_node(());
let _n47 = graph.add_node(());
let n48 = graph.add_node(());
let n49 = graph.add_node(());
let _n50 = graph.add_node(());
graph.extend_with_edges([
(2, 8, 8),
(2, 21, 7),
(2, 32, 2),
(4, 5, 8),
(7, 29, 7),
(11, 3, 7),
(14, 31, 9),
(17, 6, 7),
(17, 42, 6),
(18, 19, 2),
(18, 28, 1),
(18, 43, 1),
(19, 2, 5),
(20, 7, 3),
(20, 14, 7),
(20, 16, 8),
(20, 27, 2),
(20, 38, 8),
(20, 40, 10),
(20, 48, 2),
(21, 12, 7),
(21, 17, 5),
(21, 18, 10),
(22, 10, 6),
(22, 20, 2),
(22, 21, 2),
(22, 40, 8),
(22, 43, 7),
(25, 34, 4),
(27, 34, 4),
(28, 5, 8),
(28, 24, 5),
(29, 9, 5),
(29, 33, 7),
(30, 5, 4),
(30, 15, 1),
(30, 16, 2),
(33, 35, 3),
(34, 20, 10),
(34, 30, 2),
(36, 2, 8),
(36, 4, 6),
(36, 11, 9),
(36, 39, 7),
(36, 49, 9),
(36, 50, 10),
(40, 15, 10),
(40, 23, 3),
(41, 1, 5),
(41, 22, 8),
(41, 25, 5),
(41, 36, 2),
(41, 44, 7),
(41, 47, 7),
(42, 6, 9),
(42, 46, 10),
(44, 24, 8),
(44, 39, 3),
(45, 26, 6),
(45, 28, 1),
(47, 37, 3),
(47, 45, 10),
(50, 13, 1),
]);
let terminals = vec![n48, n49, n22, n35, n27, n12, n37, n34, n24];
(graph, terminals)
}
#[cfg(feature = "stable_graph")]
#[cfg(test)]
fn b07_example() -> (UnGraph<(), i32>, Vec<NodeIndex>) {
// Implementing b07 case from Vienna test set B
let mut graph = Graph::<(), i32, Undirected>::new_undirected();
let _n0 = graph.add_node(());
let _n1 = graph.add_node(());
let _n2 = graph.add_node(());
let _n3 = graph.add_node(());
let _n4 = graph.add_node(());
let _n5 = graph.add_node(());
let _n6 = graph.add_node(());
let _n7 = graph.add_node(());
let _n8 = graph.add_node(());
let _n9 = graph.add_node(());
let _n10 = graph.add_node(());
let _n11 = graph.add_node(());
let _n12 = graph.add_node(());
let _n13 = graph.add_node(());
let n14 = graph.add_node(());
let _n15 = graph.add_node(());
let _n16 = graph.add_node(());
let _n17 = graph.add_node(());
let _n18 = graph.add_node(());
let _n19 = graph.add_node(());
let _n20 = graph.add_node(());
let _n21 = graph.add_node(());
let _n22 = graph.add_node(());
let n23 = graph.add_node(());
let n24 = graph.add_node(());
let _n25 = graph.add_node(());
let n26 = graph.add_node(());
let _n27 = graph.add_node(());
let _n28 = graph.add_node(());
let n29 = graph.add_node(());
let _n30 = graph.add_node(());
let _n31 = graph.add_node(());
let _n32 = graph.add_node(());
let _n33 = graph.add_node(());
let _n34 = graph.add_node(());
let _n35 = graph.add_node(());
let n36 = graph.add_node(());
let _n37 = graph.add_node(());
let _n38 = graph.add_node(());
let _n39 = graph.add_node(());
let _n40 = graph.add_node(());
let _n41 = graph.add_node(());
let _n42 = graph.add_node(());
let _n43 = graph.add_node(());
let _n44 = graph.add_node(());
let _n45 = graph.add_node(());
let _n46 = graph.add_node(());
let _n47 = graph.add_node(());
let _n48 = graph.add_node(());
let _n49 = graph.add_node(());
let _n50 = graph.add_node(());
let n51 = graph.add_node(());
let n52 = graph.add_node(());
let _n53 = graph.add_node(());
let _n54 = graph.add_node(());
let n55 = graph.add_node(());
let _n56 = graph.add_node(());
let _n57 = graph.add_node(());
let _n58 = graph.add_node(());
let n59 = graph.add_node(());
let n60 = graph.add_node(());
let _n61 = graph.add_node(());
let _n62 = graph.add_node(());
let n63 = graph.add_node(());
let _n64 = graph.add_node(());
let _n65 = graph.add_node(());
let _n66 = graph.add_node(());
let _n67 = graph.add_node(());
let _n68 = graph.add_node(());
let _n69 = graph.add_node(());
let n70 = graph.add_node(());
let _n71 = graph.add_node(());
let _n72 = graph.add_node(());
let _n73 = graph.add_node(());
let _n74 = graph.add_node(());
let _n75 = graph.add_node(());
graph.extend_with_edges([
(7, 17, 6),
(7, 69, 1),
(8, 25, 10),
(8, 39, 1),
(9, 70, 4),
(15, 2, 3),
(15, 20, 1),
(18, 45, 2),
(18, 74, 7),
(19, 7, 9),
(19, 64, 7),
(22, 34, 5),
(23, 9, 5),
(25, 19, 7),
(26, 72, 6),
(27, 3, 10),
(27, 36, 10),
(27, 40, 3),
(28, 6, 6),
(28, 48, 7),
(28, 63, 9),
(29, 21, 4),
(30, 29, 1),
(30, 41, 8),
(30, 62, 2),
(32, 34, 3),
(32, 74, 9),
(33, 7, 10),
(38, 7, 6),
(38, 54, 8),
(38, 60, 10),
(38, 65, 2),
(39, 2, 6),
(40, 3, 10),
(41, 1, 9),
(41, 21, 7),
(41, 23, 7),
(42, 12, 2),
(42, 30, 2),
(42, 53, 3),
(42, 56, 10),
(42, 74, 1),
(43, 4, 8),
(43, 51, 9),
(43, 54, 5),
(43, 55, 6),
(43, 71, 2),
(44, 10, 1),
(44, 26, 3),
(44, 28, 9),
(44, 36, 4),
(44, 43, 8),
(44, 46, 2),
(44, 57, 2),
(44, 68, 2),
(45, 1, 6),
(46, 49, 10),
(46, 52, 2),
(47, 27, 5),
(47, 38, 5),
(47, 41, 10),
(48, 14, 2),
(48, 22, 7),
(50, 73, 1),
(51, 8, 4),
(51, 15, 7),
(52, 16, 9),
(53, 16, 10),
(54, 66, 6),
(56, 20, 6),
(56, 75, 2),
(57, 58, 9),
(58, 5, 10),
(59, 11, 9),
(60, 18, 5),
(60, 31, 5),
(60, 35, 8),
(60, 61, 1),
(60, 67, 10),
(61, 32, 9),
(61, 37, 9),
(63, 24, 10),
(65, 16, 3),
(65, 33, 2),
(65, 42, 6),
(65, 44, 4),
(65, 50, 1),
(65, 59, 1),
(67, 20, 3),
(67, 39, 6),
(70, 13, 8),
(71, 70, 4),
(72, 9, 1),
(74, 37, 4),
]);
let terminals = vec![
n55, n52, n60, n63, n24, n26, n70, n36, n29, n51, n23, n59, n14,
];
(graph, terminals)
}
#[cfg(feature = "stable_graph")]
#[cfg(test)]
fn example_kou_paper() -> (UnGraph<(), usize>, Vec<NodeIndex>) {
let mut graph = Graph::<(), usize, Undirected>::new_undirected();
// Add nodes
let nodes: Vec<_> = (0..9).map(|_| graph.add_node(())).collect();
let edges = vec![
(0, 1, 20),
(0, 8, 1),
(1, 2, 8),
(1, 5, 1),
(2, 4, 2),
(2, 3, 9),
(3, 4, 2),
(4, 8, 1),
(4, 4, 1),
(5, 6, 1),
(6, 7, 0), // Note: In the Kou Paper this is 0.5, but the nodes are not present in terminals, so we approximate this with 0
(7, 8, 0), // Note: In the Kou Paper this is 0.5, but the nodes are not present in terminals, so we approximate this with 0
];
// Add edges to the graph
for (u, v, weight) in edges {
graph.add_edge(nodes[u], nodes[v], weight);
}
(graph, vec![nodes[0], nodes[1], nodes[2], nodes[3]])
}
#[cfg(feature = "stable_graph")]
#[cfg(test)]
mod test {
use crate::{b01_example, b07_example, example_kou_paper};
use petgraph::algo::{connected_components, steiner_tree};
use petgraph::graph::UnGraph;
#[test]
fn b01_vienna_test() {
let (graph, terminals) = b01_example();
let st = steiner_tree(&graph, &terminals);
let weights = st.edge_weights().cloned().sum::<i32>();
let steiner_tree_nodes: Vec<_> = st.node_indices().collect();
assert!(terminals.iter().all(|&t| steiner_tree_nodes.contains(&t)));
assert!(st.edge_count() == st.node_count() - 1);
assert_eq!(connected_components(&UnGraph::from(st)), 1);
assert_eq!(weights, 82);
}
#[test]
fn b07_vienna_test() {
let (graph, terminals) = b07_example();
let st = steiner_tree(&graph, &terminals);
let weights = st.edge_weights().cloned().sum::<i32>();
let steiner_tree_nodes: Vec<_> = st.node_indices().collect();
assert!(terminals.iter().all(|&t| steiner_tree_nodes.contains(&t)));
assert!(st.edge_count() == st.node_count() - 1);
assert_eq!(connected_components(&UnGraph::from(st)), 1);
assert_eq!(weights, 111);
}
#[test]
fn example_kous_paper() {
let (graph, terminals) = example_kou_paper();
let st = steiner_tree(&graph, &terminals);
let weights = st.edge_weights().cloned().sum::<usize>();
let steiner_tree_nodes: Vec<_> = st.node_indices().collect();
assert!(terminals.iter().all(|&t| steiner_tree_nodes.contains(&t)));
assert!(st.edge_count() == st.node_count() - 1);
assert_eq!(connected_components(&UnGraph::from(st)), 1);
assert_eq!(weights, 8);
}
}
|