|
| 1 | +#include "doctest.h" |
| 2 | +#include "testing/common/io.hpp" |
| 3 | +#include "testing/hgl/constants.hpp" |
| 4 | + |
| 5 | +#include <hgl/algorithm/traversal/bf_search.hpp> |
| 6 | +#include <hgl/constants.hpp> |
| 7 | + |
| 8 | +#include <algorithm> |
| 9 | + |
| 10 | +namespace hgl_testing { |
| 11 | + |
| 12 | +TEST_SUITE_BEGIN("test_alg_bfs"); |
| 13 | + |
| 14 | +TEST_CASE_TEMPLATE_DEFINE( |
| 15 | + "backward_search should properly enforce tail dependencies during traversal", |
| 16 | + HypergraphTraitsType, |
| 17 | + backward_search_directed_hypergraph_template |
| 18 | +) { |
| 19 | + using hypergraph_type = hgl::hypergraph<HypergraphTraitsType>; |
| 20 | + using id_type = typename hypergraph_type::id_type; |
| 21 | + using node_type = hgl::algorithm::search_node<hypergraph_type>; |
| 22 | + |
| 23 | + hypergraph_type hypergraph; |
| 24 | + std::vector<id_type> root_vertices; |
| 25 | + |
| 26 | + std::vector<id_type> expected_previsit_order; |
| 27 | + std::vector<id_type> expected_postvisit_order; |
| 28 | + std::vector<id_type> expected_pred_map; |
| 29 | + std::vector<id_type> expected_in_hyperedges; |
| 30 | + |
| 31 | + /* Topology: |
| 32 | + V = {v0, v1, v2, v3, v4} |
| 33 | + e0 = {v0, v1} -> {v2} |
| 34 | + e1 = {v2} -> {v3, v4} |
| 35 | + e2 = {v1} -> {v4} |
| 36 | +
|
| 37 | + v0 v3 |
| 38 | + \ / |
| 39 | + -->-- v2 -->-- |
| 40 | + / \ |
| 41 | + v1 ------->------ v4 |
| 42 | + */ |
| 43 | + |
| 44 | + const auto order = 5uz; |
| 45 | + hypergraph.add_vertices(order); |
| 46 | + |
| 47 | + const auto e0 = hypergraph.add_hyperedge().id(); |
| 48 | + hypergraph.bind_tail(0uz, e0); |
| 49 | + hypergraph.bind_tail(1uz, e0); |
| 50 | + hypergraph.bind_head(2uz, e0); |
| 51 | + |
| 52 | + const auto e1 = hypergraph.add_hyperedge().id(); |
| 53 | + hypergraph.bind_tail(2uz, e1); |
| 54 | + hypergraph.bind_head(3uz, e1); |
| 55 | + hypergraph.bind_head(4uz, e1); |
| 56 | + |
| 57 | + const auto e2 = hypergraph.add_hyperedge().id(); |
| 58 | + hypergraph.bind_tail(1uz, e2); |
| 59 | + hypergraph.bind_head(4uz, e2); |
| 60 | + |
| 61 | + SUBCASE("single root v0 (immediate halt)") { |
| 62 | + root_vertices = {0u}; |
| 63 | + expected_previsit_order = {0u}; |
| 64 | + expected_postvisit_order = {0u}; |
| 65 | + expected_pred_map.resize(order, hgl::invalid_id); |
| 66 | + expected_pred_map[0uz] = 0u; |
| 67 | + expected_in_hyperedges.resize(order, hgl::invalid_id); |
| 68 | + } |
| 69 | + |
| 70 | + SUBCASE("roots v0 and v1 (complete traversal)") { |
| 71 | + root_vertices = {0u, 1u}; |
| 72 | + expected_previsit_order = {0u, 1u, 2u, 4u, 3u}; |
| 73 | + expected_postvisit_order = expected_previsit_order; |
| 74 | + // v0->v0(root), v1->v1(root), v1->v2 (e0), v2->v3 (e1), v2->v4 (e2) |
| 75 | + expected_pred_map = {0u, 1u, 1u, 2u, 1u}; |
| 76 | + expected_in_hyperedges = {hgl::invalid_id, hgl::invalid_id, e0, e1, e2}; |
| 77 | + } |
| 78 | + |
| 79 | + CAPTURE(hypergraph); |
| 80 | + CAPTURE(root_vertices); |
| 81 | + CAPTURE(expected_previsit_order); |
| 82 | + CAPTURE(expected_postvisit_order); |
| 83 | + CAPTURE(expected_pred_map); |
| 84 | + CAPTURE(expected_in_hyperedges); |
| 85 | + |
| 86 | + // --- noret search --- |
| 87 | + |
| 88 | + std::vector<id_type> previsit_order; |
| 89 | + std::vector<id_type> postvisit_order; |
| 90 | + std::vector<id_type> noret_pred_map(hypergraph.order(), hgl::invalid_id); |
| 91 | + std::vector<id_type> noret_in_hyperedges(hypergraph.order(), hgl::invalid_id); |
| 92 | + |
| 93 | + hgl::algorithm::backward_search<gl::algorithm::noret>( |
| 94 | + hypergraph, |
| 95 | + root_vertices, |
| 96 | + [&](const auto& node) { |
| 97 | + previsit_order.push_back(node.vertex_id); |
| 98 | + noret_pred_map[node.vertex_id] = node.pred_id; |
| 99 | + noret_in_hyperedges[node.vertex_id] = node.hyperedge_id; |
| 100 | + }, |
| 101 | + [&](const auto& node) { postvisit_order.push_back(node.vertex_id); } |
| 102 | + ); |
| 103 | + |
| 104 | + CHECK_EQ(previsit_order, expected_previsit_order); |
| 105 | + CHECK_EQ(postvisit_order, expected_postvisit_order); |
| 106 | + CHECK_EQ(noret_pred_map, expected_pred_map); |
| 107 | + CHECK_EQ(noret_in_hyperedges, expected_in_hyperedges); |
| 108 | + |
| 109 | + // --- ret search --- |
| 110 | + |
| 111 | + const auto search_tree = |
| 112 | + hgl::algorithm::backward_search<gl::algorithm::ret>(hypergraph, root_vertices); |
| 113 | + |
| 114 | + const auto ret_pred_map = |
| 115 | + search_tree | std::views::transform(&node_type::pred_id) | std::ranges::to<std::vector>(); |
| 116 | + const auto ret_in_hyperedges = |
| 117 | + search_tree | std::views::transform(&node_type::hyperedge_id) |
| 118 | + | std::ranges::to<std::vector>(); |
| 119 | + |
| 120 | + CHECK_EQ(ret_pred_map, expected_pred_map); |
| 121 | + CHECK_EQ(ret_in_hyperedges, expected_in_hyperedges); |
| 122 | +} |
| 123 | + |
| 124 | +TEST_CASE_TEMPLATE_INSTANTIATE( |
| 125 | + backward_search_directed_hypergraph_template, |
| 126 | + hgl::list_hypergraph_traits< |
| 127 | + hgl::impl::bidirectional_t, |
| 128 | + hgl::bf_directed_t>, // bidirectional incidence list |
| 129 | + hgl::list_hypergraph_traits< |
| 130 | + hgl::impl::hyperedge_major_t, |
| 131 | + hgl::bf_directed_t>, // hyperedge-major incidence list |
| 132 | + hgl::list_hypergraph_traits< |
| 133 | + hgl::impl::vertex_major_t, |
| 134 | + hgl::bf_directed_t>, // vertex-major incidence list |
| 135 | + hgl::flat_list_hypergraph_traits< |
| 136 | + hgl::impl::bidirectional_t, |
| 137 | + hgl::bf_directed_t>, // bidirectional flat incidence list |
| 138 | + hgl::flat_list_hypergraph_traits< |
| 139 | + hgl::impl::hyperedge_major_t, |
| 140 | + hgl::bf_directed_t>, // hyperedge-major flat incidence list |
| 141 | + hgl::flat_list_hypergraph_traits< |
| 142 | + hgl::impl::vertex_major_t, |
| 143 | + hgl::bf_directed_t>, // vertex-major flat incidence list |
| 144 | + hgl::matrix_hypergraph_traits< |
| 145 | + hgl::impl::hyperedge_major_t, |
| 146 | + hgl::bf_directed_t>, // hyperedge-major incidence matrix |
| 147 | + hgl::matrix_hypergraph_traits< |
| 148 | + hgl::impl::vertex_major_t, |
| 149 | + hgl::bf_directed_t>, // vertex-major incidence matrix |
| 150 | + hgl::flat_matrix_hypergraph_traits< |
| 151 | + hgl::impl::hyperedge_major_t, |
| 152 | + hgl::bf_directed_t>, // hyperedge-major flat incidence matrix |
| 153 | + hgl::flat_matrix_hypergraph_traits< |
| 154 | + hgl::impl::vertex_major_t, |
| 155 | + hgl::bf_directed_t> // vertex-major flat incidence matrix |
| 156 | +); |
| 157 | + |
| 158 | +TEST_CASE_TEMPLATE_DEFINE( |
| 159 | + "forward_search should properly enforce head dependencies during traversal", |
| 160 | + HypergraphTraitsType, |
| 161 | + forward_search_directed_hypergraph_template |
| 162 | +) { |
| 163 | + using hypergraph_type = hgl::hypergraph<HypergraphTraitsType>; |
| 164 | + using id_type = typename hypergraph_type::id_type; |
| 165 | + using node_type = hgl::algorithm::search_node<hypergraph_type>; |
| 166 | + |
| 167 | + hypergraph_type hypergraph; |
| 168 | + std::vector<id_type> root_vertices; |
| 169 | + |
| 170 | + std::vector<id_type> expected_previsit_order; |
| 171 | + std::vector<id_type> expected_postvisit_order; |
| 172 | + std::vector<id_type> expected_pred_map; |
| 173 | + std::vector<id_type> expected_in_hyperedges; |
| 174 | + |
| 175 | + /* Topology: |
| 176 | + V = {v0, v1, v2, v3, v4} |
| 177 | + e0 = {v0, v1} -> {v2} |
| 178 | + e1 = {v2} -> {v3, v4} |
| 179 | + e2 = {v1} -> {v4} |
| 180 | +
|
| 181 | + v0 v3 |
| 182 | + \ / |
| 183 | + -->-- v2 -->-- |
| 184 | + / \ |
| 185 | + v1 ------->------ v4 |
| 186 | + */ |
| 187 | + |
| 188 | + const auto order = 5uz; |
| 189 | + hypergraph.add_vertices(order); |
| 190 | + |
| 191 | + const auto e0 = hypergraph.add_hyperedge().id(); |
| 192 | + hypergraph.bind_tail(0uz, e0); |
| 193 | + hypergraph.bind_tail(1uz, e0); |
| 194 | + hypergraph.bind_head(2uz, e0); |
| 195 | + |
| 196 | + const auto e1 = hypergraph.add_hyperedge().id(); |
| 197 | + hypergraph.bind_tail(2uz, e1); |
| 198 | + hypergraph.bind_head(3uz, e1); |
| 199 | + hypergraph.bind_head(4uz, e1); |
| 200 | + |
| 201 | + const auto e2 = hypergraph.add_hyperedge().id(); |
| 202 | + hypergraph.bind_tail(1uz, e2); |
| 203 | + hypergraph.bind_head(4uz, e2); |
| 204 | + |
| 205 | + SUBCASE("single root v4 (partial backward traversal)") { |
| 206 | + // Rooting at v4. e1 cannot be traversed backwards because it also requires v3. |
| 207 | + // e2 CAN be traversed because v4 is its only head. |
| 208 | + root_vertices = {4u}; |
| 209 | + |
| 210 | + expected_previsit_order = {4u, 1u}; |
| 211 | + expected_postvisit_order = expected_previsit_order; |
| 212 | + |
| 213 | + expected_pred_map.resize(order, hgl::invalid_id); |
| 214 | + expected_pred_map[4uz] = 4u; // Root |
| 215 | + expected_pred_map[1uz] = 4u; // v1 reached backward from v4 via e2 |
| 216 | + |
| 217 | + expected_in_hyperedges.resize(order, hgl::invalid_id); |
| 218 | + expected_in_hyperedges[1uz] = e2; |
| 219 | + } |
| 220 | + |
| 221 | + SUBCASE("roots v3 and v4 (complete backward traversal)") { |
| 222 | + // Rooting at v3 and v4 unlocks e1, which unlocks v2, which unlocks e0, which unlocks v0 and v1. |
| 223 | + root_vertices = {3u, 4u}; |
| 224 | + |
| 225 | + // Queue trace: |
| 226 | + // Init: [v3, v4] |
| 227 | + // Pop v3 -> sees e1 (needs v4, so wait) |
| 228 | + // Pop v4 -> sees e1 (unlocked -> enqueues v2), sees e2 (unlocked -> enqueues v1) |
| 229 | + // Queue: [v2, v1] |
| 230 | + // Pop v2 -> sees e0 (unlocked -> enqueues v0, v1) - v1 is already visited |
| 231 | + // Queue: [v1, v0] |
| 232 | + // Pop v1 -> no incoming edges |
| 233 | + // Pop v0 -> no incoming edges |
| 234 | + expected_previsit_order = {3u, 4u, 2u, 1u, 0u}; |
| 235 | + expected_postvisit_order = expected_previsit_order; |
| 236 | + |
| 237 | + expected_pred_map = { |
| 238 | + 2u, // v0 reached backward from v2 via e0 |
| 239 | + 4u, // v1 reached backward from v4 via e2 |
| 240 | + 4u, // v2 reached backward from v4 via e1 |
| 241 | + 3u, // v3 is a root |
| 242 | + 4u // v4 is a root |
| 243 | + }; |
| 244 | + |
| 245 | + expected_in_hyperedges = { |
| 246 | + e0, // v0 reached via e0 |
| 247 | + e2, // v1 reached via e2 |
| 248 | + e1, // v2 reached via e1 |
| 249 | + hgl::invalid_id, // v3 root |
| 250 | + hgl::invalid_id // v4 root |
| 251 | + }; |
| 252 | + } |
| 253 | + |
| 254 | + CAPTURE(hypergraph); |
| 255 | + CAPTURE(root_vertices); |
| 256 | + CAPTURE(expected_previsit_order); |
| 257 | + CAPTURE(expected_postvisit_order); |
| 258 | + CAPTURE(expected_pred_map); |
| 259 | + CAPTURE(expected_in_hyperedges); |
| 260 | + |
| 261 | + // --- noret search --- |
| 262 | + |
| 263 | + std::vector<id_type> previsit_order; |
| 264 | + std::vector<id_type> postvisit_order; |
| 265 | + std::vector<id_type> noret_pred_map(hypergraph.order(), hgl::invalid_id); |
| 266 | + std::vector<id_type> noret_in_hyperedges(hypergraph.order(), hgl::invalid_id); |
| 267 | + |
| 268 | + hgl::algorithm::forward_search<gl::algorithm::noret>( |
| 269 | + hypergraph, |
| 270 | + root_vertices, |
| 271 | + [&](const auto& node) { |
| 272 | + previsit_order.push_back(node.vertex_id); |
| 273 | + noret_pred_map[node.vertex_id] = node.pred_id; |
| 274 | + noret_in_hyperedges[node.vertex_id] = node.hyperedge_id; |
| 275 | + }, |
| 276 | + [&](const auto& node) { postvisit_order.push_back(node.vertex_id); } |
| 277 | + ); |
| 278 | + |
| 279 | + CHECK_EQ(previsit_order, expected_previsit_order); |
| 280 | + CHECK_EQ(postvisit_order, expected_postvisit_order); |
| 281 | + CHECK_EQ(noret_pred_map, expected_pred_map); |
| 282 | + CHECK_EQ(noret_in_hyperedges, expected_in_hyperedges); |
| 283 | + |
| 284 | + // --- ret search --- |
| 285 | + |
| 286 | + const auto search_tree = |
| 287 | + hgl::algorithm::forward_search<gl::algorithm::ret>(hypergraph, root_vertices); |
| 288 | + |
| 289 | + const auto ret_pred_map = |
| 290 | + search_tree | std::views::transform(&node_type::pred_id) | std::ranges::to<std::vector>(); |
| 291 | + const auto ret_in_hyperedges = |
| 292 | + search_tree | std::views::transform(&node_type::hyperedge_id) |
| 293 | + | std::ranges::to<std::vector>(); |
| 294 | + |
| 295 | + CHECK_EQ(ret_pred_map, expected_pred_map); |
| 296 | + CHECK_EQ(ret_in_hyperedges, expected_in_hyperedges); |
| 297 | +} |
| 298 | + |
| 299 | +TEST_CASE_TEMPLATE_INSTANTIATE( |
| 300 | + forward_search_directed_hypergraph_template, |
| 301 | + hgl::list_hypergraph_traits< |
| 302 | + hgl::impl::bidirectional_t, |
| 303 | + hgl::bf_directed_t>, // bidirectional incidence list |
| 304 | + hgl::list_hypergraph_traits< |
| 305 | + hgl::impl::hyperedge_major_t, |
| 306 | + hgl::bf_directed_t>, // hyperedge-major incidence list |
| 307 | + hgl::list_hypergraph_traits< |
| 308 | + hgl::impl::vertex_major_t, |
| 309 | + hgl::bf_directed_t>, // vertex-major incidence list |
| 310 | + hgl::flat_list_hypergraph_traits< |
| 311 | + hgl::impl::bidirectional_t, |
| 312 | + hgl::bf_directed_t>, // bidirectional flat incidence list |
| 313 | + hgl::flat_list_hypergraph_traits< |
| 314 | + hgl::impl::hyperedge_major_t, |
| 315 | + hgl::bf_directed_t>, // hyperedge-major flat incidence list |
| 316 | + hgl::flat_list_hypergraph_traits< |
| 317 | + hgl::impl::vertex_major_t, |
| 318 | + hgl::bf_directed_t>, // vertex-major flat incidence list |
| 319 | + hgl::matrix_hypergraph_traits< |
| 320 | + hgl::impl::hyperedge_major_t, |
| 321 | + hgl::bf_directed_t>, // hyperedge-major incidence matrix |
| 322 | + hgl::matrix_hypergraph_traits< |
| 323 | + hgl::impl::vertex_major_t, |
| 324 | + hgl::bf_directed_t>, // vertex-major incidence matrix |
| 325 | + hgl::flat_matrix_hypergraph_traits< |
| 326 | + hgl::impl::hyperedge_major_t, |
| 327 | + hgl::bf_directed_t>, // hyperedge-major flat incidence matrix |
| 328 | + hgl::flat_matrix_hypergraph_traits< |
| 329 | + hgl::impl::vertex_major_t, |
| 330 | + hgl::bf_directed_t> // vertex-major flat incidence matrix |
| 331 | +); |
| 332 | + |
| 333 | +TEST_SUITE_END(); // test_alg_bfs |
| 334 | + |
| 335 | +} // namespace hgl_testing |
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