| 1 | /* |
|---|
| 2 | * Shooting* Shortest path algorithm for PostgreSQL |
|---|
| 3 | * |
|---|
| 4 | * Copyright (c) 2007 Anton A. Patrushev, Orkney, Inc. |
|---|
| 5 | * |
|---|
| 6 | * This program is free software; you can redistribute it and/or modify |
|---|
| 7 | * it under the terms of the GNU General Public License as published by |
|---|
| 8 | * the Free Software Foundation; either version 2 of the License, or |
|---|
| 9 | * (at your option) any later version. |
|---|
| 10 | * |
|---|
| 11 | * This program is distributed in the hope that it will be useful, |
|---|
| 12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
|---|
| 13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
|---|
| 14 | * GNU General Public License for more details. |
|---|
| 15 | * |
|---|
| 16 | * You should have received a copy of the GNU General Public License |
|---|
| 17 | * along with this program; if not, write to the Free Software |
|---|
| 18 | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
|---|
| 19 | * |
|---|
| 20 | */ |
|---|
| 21 | |
|---|
| 22 | #include <boost/config.hpp> |
|---|
| 23 | #include <iostream> |
|---|
| 24 | #include <fstream> |
|---|
| 25 | |
|---|
| 26 | #include <boost/graph/graph_traits.hpp> |
|---|
| 27 | #include <boost/graph/adjacency_list.hpp> |
|---|
| 28 | #include <boost/vector_property_map.hpp> |
|---|
| 29 | #include <shooting_star_search.hpp> |
|---|
| 30 | |
|---|
| 31 | #include "shooting_star.h" |
|---|
| 32 | |
|---|
| 33 | #include <math.h> // for sqrt |
|---|
| 34 | |
|---|
| 35 | using namespace std; |
|---|
| 36 | using namespace boost; |
|---|
| 37 | |
|---|
| 38 | // Maximal number of nodes in the path (to avoid infinite loops) |
|---|
| 39 | #define MAX_NODES 1000000 |
|---|
| 40 | |
|---|
| 41 | struct Edge |
|---|
| 42 | { |
|---|
| 43 | int id; |
|---|
| 44 | int source; |
|---|
| 45 | int target; |
|---|
| 46 | float8 cost; |
|---|
| 47 | float8 distance; |
|---|
| 48 | float8 rank; |
|---|
| 49 | std::map< int, std::pair<float8, std::vector<int> >, std::less<int> > adjacent_edges; |
|---|
| 50 | |
|---|
| 51 | std::vector< int > history; |
|---|
| 52 | |
|---|
| 53 | default_color_type color; |
|---|
| 54 | |
|---|
| 55 | std::size_t index; |
|---|
| 56 | |
|---|
| 57 | adjacency_list_traits<vecS, vecS, directedS>::edge_descriptor predecessor; |
|---|
| 58 | }; |
|---|
| 59 | |
|---|
| 60 | struct Vertex |
|---|
| 61 | { |
|---|
| 62 | int id; |
|---|
| 63 | float8 x; |
|---|
| 64 | float8 y; |
|---|
| 65 | |
|---|
| 66 | default_color_type color; |
|---|
| 67 | |
|---|
| 68 | float8 cost; |
|---|
| 69 | |
|---|
| 70 | }; |
|---|
| 71 | |
|---|
| 72 | |
|---|
| 73 | struct found_goal {}; // exception for termination |
|---|
| 74 | |
|---|
| 75 | // visitor that terminates when we find the goal |
|---|
| 76 | template <class Edge> |
|---|
| 77 | class shooting_star_goal_visitor : public boost::default_shooting_star_visitor |
|---|
| 78 | { |
|---|
| 79 | public: |
|---|
| 80 | shooting_star_goal_visitor(Edge goal) : m_goal(goal) {} |
|---|
| 81 | |
|---|
| 82 | template <class Graph> |
|---|
| 83 | void examine_edge(Edge e, Graph& g) { |
|---|
| 84 | if(g[e].id == g[m_goal].id) |
|---|
| 85 | throw found_goal(); |
|---|
| 86 | } |
|---|
| 87 | template <class Graph> |
|---|
| 88 | void finish_edge(Edge e, Graph& g) {} |
|---|
| 89 | private: |
|---|
| 90 | Edge m_goal; |
|---|
| 91 | }; |
|---|
| 92 | |
|---|
| 93 | |
|---|
| 94 | template <class Graph, class CostType> |
|---|
| 95 | class distance_heuristic : public astar_heuristic<Graph, CostType> |
|---|
| 96 | { |
|---|
| 97 | public: |
|---|
| 98 | typedef typename graph_traits<Graph>::edge_descriptor Edge; |
|---|
| 99 | distance_heuristic(Graph& g, Edge goal):m_g(g), m_goal(goal){} |
|---|
| 100 | CostType operator()(Edge e) |
|---|
| 101 | { |
|---|
| 102 | CostType dx = m_g[target(m_goal, m_g)].x - m_g[target(e, m_g)].x; |
|---|
| 103 | CostType dy = m_g[target(m_goal, m_g)].y - m_g[target(e, m_g)].y; |
|---|
| 104 | //You can choose any heuristical function from below |
|---|
| 105 | //return ::max(dx, dy); |
|---|
| 106 | //return ::sqrt(dx * dx + dy * dy)/2; |
|---|
| 107 | //return 0; |
|---|
| 108 | return (::fabs(dx)+::fabs(dy))/2; |
|---|
| 109 | } |
|---|
| 110 | private: |
|---|
| 111 | Graph& m_g; |
|---|
| 112 | Edge m_goal; |
|---|
| 113 | }; |
|---|
| 114 | |
|---|
| 115 | |
|---|
| 116 | template <class G, class E> |
|---|
| 117 | static void |
|---|
| 118 | graph_add_edge(G &graph, int id, int source, int target, |
|---|
| 119 | float8 cost, float8 s_x, float8 s_y, float8 t_x, float8 t_y, |
|---|
| 120 | std::map< int, std::pair<float8, vector<int> >, std::less<int> > adjacent_edges) |
|---|
| 121 | { |
|---|
| 122 | |
|---|
| 123 | E e; |
|---|
| 124 | bool inserted; |
|---|
| 125 | |
|---|
| 126 | if (cost < 0) // edges are not inserted in the graph if cost is negative |
|---|
| 127 | return; |
|---|
| 128 | |
|---|
| 129 | tie(e, inserted) = add_edge(source, target, graph); |
|---|
| 130 | |
|---|
| 131 | graph[e].cost = cost; |
|---|
| 132 | graph[e].id = id; |
|---|
| 133 | |
|---|
| 134 | // put(edge_index, graph, graph[e], id); |
|---|
| 135 | |
|---|
| 136 | graph[e].source = source; |
|---|
| 137 | graph[e].target = target; |
|---|
| 138 | |
|---|
| 139 | graph[e].adjacent_edges = adjacent_edges; |
|---|
| 140 | |
|---|
| 141 | typedef typename graph_traits<G>::vertex_descriptor Vertex; |
|---|
| 142 | Vertex s = vertex(source, graph); |
|---|
| 143 | Vertex t = vertex(target, graph); |
|---|
| 144 | |
|---|
| 145 | graph[s].id=source; |
|---|
| 146 | graph[t].id=target; |
|---|
| 147 | |
|---|
| 148 | graph[s].x=s_x; |
|---|
| 149 | graph[s].y=s_y; |
|---|
| 150 | graph[t].x=t_x; |
|---|
| 151 | graph[t].y=t_y; |
|---|
| 152 | |
|---|
| 153 | } |
|---|
| 154 | |
|---|
| 155 | int |
|---|
| 156 | boost_shooting_star(edge_shooting_star_t *edges_array, unsigned int count, |
|---|
| 157 | int source_edge_id, int target_edge_id, |
|---|
| 158 | bool directed, bool has_reverse_cost, |
|---|
| 159 | path_element_t **path, int *path_count, char **err_msg, int e_max_id) |
|---|
| 160 | { |
|---|
| 161 | |
|---|
| 162 | typedef adjacency_list<vecS, vecS, directedS, Vertex, Edge> graph_t; |
|---|
| 163 | |
|---|
| 164 | typedef graph_traits < graph_t >::vertex_descriptor vertex_descriptor; |
|---|
| 165 | typedef graph_traits < graph_t >::edge_descriptor edge_descriptor; |
|---|
| 166 | |
|---|
| 167 | const unsigned int num_nodes = /*1*/count*2; |
|---|
| 168 | |
|---|
| 169 | int z; |
|---|
| 170 | int src, trg, offset; |
|---|
| 171 | |
|---|
| 172 | graph_t graph(num_nodes); |
|---|
| 173 | |
|---|
| 174 | std::map< int, std::pair<float8, vector<int> >, std::less<int> > adjacent_edges; |
|---|
| 175 | |
|---|
| 176 | std::map< int, int, std::less<int> > vertices; |
|---|
| 177 | |
|---|
| 178 | offset = 0; |
|---|
| 179 | |
|---|
| 180 | for (std::size_t j = 0; j < count; ++j) |
|---|
| 181 | { |
|---|
| 182 | //Vertex ids renumbering moved here |
|---|
| 183 | |
|---|
| 184 | src = edges_array[j].source; |
|---|
| 185 | trg = edges_array[j].target; |
|---|
| 186 | |
|---|
| 187 | if(vertices[src]==NULL) |
|---|
| 188 | //if (vertices.find(edges_array[j].source) == vertices.end()) |
|---|
| 189 | { |
|---|
| 190 | vertices[src]=j+offset; |
|---|
| 191 | edges_array[j].source=j+offset; |
|---|
| 192 | |
|---|
| 193 | } |
|---|
| 194 | else |
|---|
| 195 | { |
|---|
| 196 | edges_array[j].source=vertices[src]; |
|---|
| 197 | } |
|---|
| 198 | |
|---|
| 199 | if(vertices[trg]==NULL) |
|---|
| 200 | //if (vertices.find(edges_array[j].target) == vertices.end()) |
|---|
| 201 | { |
|---|
| 202 | offset++; |
|---|
| 203 | |
|---|
| 204 | vertices[trg]=j+offset; |
|---|
| 205 | edges_array[j].target=j+offset; |
|---|
| 206 | } |
|---|
| 207 | else |
|---|
| 208 | { |
|---|
| 209 | edges_array[j].target=vertices[trg]; |
|---|
| 210 | } |
|---|
| 211 | |
|---|
| 212 | adjacent_edges[edges_array[j].id].first = edges_array[j].to_cost; |
|---|
| 213 | |
|---|
| 214 | for(z=0; z<MAX_RULE_LENGTH;++z) |
|---|
| 215 | { |
|---|
| 216 | if(edges_array[j].rule[z] > 0) |
|---|
| 217 | { |
|---|
| 218 | adjacent_edges[edges_array[j].id].second.push_back(edges_array[j].rule[z]); |
|---|
| 219 | } |
|---|
| 220 | } |
|---|
| 221 | |
|---|
| 222 | if((j < count-1 && edges_array[j].id != edges_array[j+1].id)||(j==count-1)) |
|---|
| 223 | { |
|---|
| 224 | graph_add_edge<graph_t, edge_descriptor>(graph, |
|---|
| 225 | edges_array[j].id, edges_array[j].source, |
|---|
| 226 | edges_array[j].target, edges_array[j].cost, |
|---|
| 227 | edges_array[j].s_x, edges_array[j].s_y, |
|---|
| 228 | edges_array[j].t_x, edges_array[j].t_y, adjacent_edges); |
|---|
| 229 | |
|---|
| 230 | if (!directed || (directed && has_reverse_cost)) |
|---|
| 231 | { |
|---|
| 232 | float8 cost; |
|---|
| 233 | |
|---|
| 234 | if (has_reverse_cost) |
|---|
| 235 | { |
|---|
| 236 | cost = edges_array[j].reverse_cost; |
|---|
| 237 | } |
|---|
| 238 | else |
|---|
| 239 | { |
|---|
| 240 | cost = edges_array[j].cost; |
|---|
| 241 | } |
|---|
| 242 | |
|---|
| 243 | graph_add_edge<graph_t, edge_descriptor>(graph, |
|---|
| 244 | edges_array[j].id+e_max_id, edges_array[j].target, |
|---|
| 245 | edges_array[j].source, cost, |
|---|
| 246 | edges_array[j].s_x, edges_array[j].s_y, |
|---|
| 247 | edges_array[j].t_x, edges_array[j].t_y, adjacent_edges); |
|---|
| 248 | } |
|---|
| 249 | |
|---|
| 250 | adjacent_edges.clear(); |
|---|
| 251 | |
|---|
| 252 | } |
|---|
| 253 | } |
|---|
| 254 | |
|---|
| 255 | std::map< int, edge_descriptor, std::less<int> > predecessors; |
|---|
| 256 | |
|---|
| 257 | edge_descriptor source_edge; |
|---|
| 258 | edge_descriptor target_edge; |
|---|
| 259 | |
|---|
| 260 | bool source_found = false, target_found = false; |
|---|
| 261 | |
|---|
| 262 | graph_traits<graph_t>::edge_iterator ei, ei_end; |
|---|
| 263 | int index; |
|---|
| 264 | |
|---|
| 265 | index = 1; |
|---|
| 266 | |
|---|
| 267 | for(tie(ei, ei_end) = edges(graph); ei != ei_end; ++ei, ++index) |
|---|
| 268 | graph[*ei].index = index; |
|---|
| 269 | |
|---|
| 270 | for(tie(ei, ei_end) = edges(graph); ei != ei_end; ++ei) |
|---|
| 271 | { |
|---|
| 272 | if(graph[*ei].id == source_edge_id) |
|---|
| 273 | { |
|---|
| 274 | source_edge = *ei; |
|---|
| 275 | source_found = true; |
|---|
| 276 | break; |
|---|
| 277 | } |
|---|
| 278 | } |
|---|
| 279 | |
|---|
| 280 | if (!source_found) |
|---|
| 281 | { |
|---|
| 282 | *err_msg = "Source edge not found"; |
|---|
| 283 | return -1; |
|---|
| 284 | } |
|---|
| 285 | |
|---|
| 286 | for(tie(ei, ei_end) = edges(graph); ei != ei_end; ++ei) |
|---|
| 287 | { |
|---|
| 288 | if(graph[*ei].id == target_edge_id) |
|---|
| 289 | { |
|---|
| 290 | target_edge = *ei; |
|---|
| 291 | target_found = true; |
|---|
| 292 | break; |
|---|
| 293 | } |
|---|
| 294 | } |
|---|
| 295 | |
|---|
| 296 | if (!target_found) |
|---|
| 297 | { |
|---|
| 298 | *err_msg = "Target edge not found"; |
|---|
| 299 | return -1; |
|---|
| 300 | } |
|---|
| 301 | |
|---|
| 302 | std::vector<float8> distances(num_edges(graph)); |
|---|
| 303 | |
|---|
| 304 | std::vector<default_color_type> edge_colors(num_edges(graph), color_traits<default_color_type>::white()); |
|---|
| 305 | |
|---|
| 306 | property_map<graph_t, std::vector< int > Edge::*>::type history = get(&Edge::history, graph); |
|---|
| 307 | |
|---|
| 308 | property_map<graph_t, std::size_t Edge::*>::type edge_index = get(&Edge::index, graph); |
|---|
| 309 | |
|---|
| 310 | property_map<graph_t, float8 Edge::*>::type rank = get(&Edge::rank, graph); |
|---|
| 311 | property_map<graph_t, float8 Edge::*>::type distance = get(&Edge::distance, graph); |
|---|
| 312 | |
|---|
| 313 | try |
|---|
| 314 | { |
|---|
| 315 | shooting_star_search |
|---|
| 316 | (graph, source_edge, |
|---|
| 317 | distance_heuristic<graph_t, float>(graph, target_edge), |
|---|
| 318 | weight_map(get(&Edge::cost, graph)). |
|---|
| 319 | weight_map2(get(&Edge::adjacent_edges, graph)). |
|---|
| 320 | vertex_color_map(get(&Vertex::color, graph)). |
|---|
| 321 | edge_color_map(get(&Edge::color, graph)). |
|---|
| 322 | visitor(shooting_star_goal_visitor<edge_descriptor>(target_edge)), |
|---|
| 323 | edge_index, |
|---|
| 324 | distance, rank, |
|---|
| 325 | history, |
|---|
| 326 | predecessors, e_max_id |
|---|
| 327 | ); |
|---|
| 328 | |
|---|
| 329 | } |
|---|
| 330 | catch(found_goal fg) { |
|---|
| 331 | |
|---|
| 332 | vector<edge_descriptor> path_vect; |
|---|
| 333 | int max = MAX_NODES; |
|---|
| 334 | |
|---|
| 335 | path_vect.push_back(target_edge); |
|---|
| 336 | |
|---|
| 337 | while (target_edge != source_edge) |
|---|
| 338 | { |
|---|
| 339 | if ((target_edge == predecessors[graph[target_edge].id]) && (predecessors[graph[target_edge].id] != source_edge)) |
|---|
| 340 | { |
|---|
| 341 | *err_msg = "No path found"; |
|---|
| 342 | return -1; |
|---|
| 343 | |
|---|
| 344 | } |
|---|
| 345 | |
|---|
| 346 | target_edge = predecessors[graph[target_edge].id]; |
|---|
| 347 | |
|---|
| 348 | if(target_edge == predecessors[graph[target_edge].id] ) |
|---|
| 349 | continue; |
|---|
| 350 | |
|---|
| 351 | path_vect.push_back(target_edge); |
|---|
| 352 | |
|---|
| 353 | if (!max--) |
|---|
| 354 | { |
|---|
| 355 | *err_msg = "Overflow"; |
|---|
| 356 | return -1; |
|---|
| 357 | } |
|---|
| 358 | } |
|---|
| 359 | |
|---|
| 360 | *path = (path_element_t *) malloc(sizeof(path_element_t) * |
|---|
| 361 | (path_vect.size() + 1)); |
|---|
| 362 | *path_count = path_vect.size(); |
|---|
| 363 | |
|---|
| 364 | for(int i = path_vect.size() - 1, j = 0; i >= 0; i--, j++) |
|---|
| 365 | { |
|---|
| 366 | graph_traits < graph_t >::edge_descriptor e; |
|---|
| 367 | |
|---|
| 368 | e = path_vect.at(i); |
|---|
| 369 | |
|---|
| 370 | if(graph[e].id > e_max_id) |
|---|
| 371 | graph[e].id -= e_max_id; |
|---|
| 372 | |
|---|
| 373 | (*path)[j].edge_id = graph[e].id; |
|---|
| 374 | (*path)[j].cost = graph[e].cost; |
|---|
| 375 | (*path)[j].vertex_id = source(e, graph); |
|---|
| 376 | } |
|---|
| 377 | |
|---|
| 378 | return EXIT_SUCCESS; |
|---|
| 379 | } |
|---|
| 380 | |
|---|
| 381 | } |
|---|
| 382 | |
|---|