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/* |
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* Shooting* Shortest path algorithm for PostgreSQL |
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* |
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* Copyright (c) 2007 Anton A. Patrushev, Orkney, Inc. |
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* |
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* This program is free software; you can redistribute it and/or modify |
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* it under the terms of the GNU General Public License as published by |
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* the Free Software Foundation; either version 2 of the License, or |
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* (at your option) any later version. |
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* |
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* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU General Public License for more details. |
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* |
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* You should have received a copy of the GNU General Public License |
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* along with this program; if not, write to the Free Software |
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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* |
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*/ |
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#include <boost/config.hpp> |
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#include <iostream> |
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#include <fstream> |
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#include <boost/graph/graph_traits.hpp> |
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#include <boost/graph/adjacency_list.hpp> |
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#include <boost/vector_property_map.hpp> |
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#include <shooting_star_search.hpp> |
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#include "shooting_star.h" |
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#include <math.h> // for sqrt |
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using namespace std; |
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using namespace boost; |
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// Maximal number of nodes in the path (to avoid infinite loops) |
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#define MAX_NODES 1000000 |
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struct Edge |
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{ |
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int id; |
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int source; |
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int target; |
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float8 cost; |
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float8 distance; |
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float8 rank; |
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std::map< int, std::pair<float8, std::vector<int> >, std::less<int> > adjacent_edges; |
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std::vector< int > history; |
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default_color_type color; |
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std::size_t index; |
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adjacency_list_traits<vecS, vecS, directedS>::edge_descriptor predecessor; |
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}; |
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struct Vertex |
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{ |
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int id; |
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float8 x; |
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float8 y; |
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default_color_type color; |
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float8 cost; |
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}; |
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struct found_goal {}; // exception for termination |
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// visitor that terminates when we find the goal |
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template <class Edge> |
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class shooting_star_goal_visitor : public boost::default_shooting_star_visitor |
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{ |
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public: |
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shooting_star_goal_visitor(Edge goal) : m_goal(goal) {} |
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template <class Graph> |
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void examine_edge(Edge e, Graph& g) { |
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if(g[e].id == g[m_goal].id) |
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throw found_goal(); |
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} |
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template <class Graph> |
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void finish_edge(Edge e, Graph& g) {} |
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private: |
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Edge m_goal; |
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}; |
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template <class Graph, class CostType> |
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class distance_heuristic : public astar_heuristic<Graph, CostType> |
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{ |
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public: |
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typedef typename graph_traits<Graph>::edge_descriptor Edge; |
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distance_heuristic(Graph& g, Edge goal):m_g(g), m_goal(goal){} |
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CostType operator()(Edge e) |
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{ |
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CostType dx = m_g[target(m_goal, m_g)].x - m_g[target(e, m_g)].x; |
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CostType dy = m_g[target(m_goal, m_g)].y - m_g[target(e, m_g)].y; |
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//You can choose any heuristical function from below |
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//return ::max(dx, dy); |
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//return ::sqrt(dx * dx + dy * dy)/2; |
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//return 0; |
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return (::fabs(dx)+::fabs(dy))/2; |
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} |
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private: |
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Graph& m_g; |
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Edge m_goal; |
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}; |
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template <class G, class E> |
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static void |
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graph_add_edge(G &graph, int id, int source, int target, |
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float8 cost, float8 s_x, float8 s_y, float8 t_x, float8 t_y, |
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std::map< int, std::pair<float8, vector<int> >, std::less<int> > adjacent_edges) |
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{ |
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E e; |
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bool inserted; |
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if (cost < 0) // edges are not inserted in the graph if cost is negative |
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return; |
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tie(e, inserted) = add_edge(source, target, graph); |
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graph[e].cost = cost; |
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graph[e].id = id; |
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// put(edge_index, graph, graph[e], id); |
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graph[e].source = source; |
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graph[e].target = target; |
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graph[e].adjacent_edges = adjacent_edges; |
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typedef typename graph_traits<G>::vertex_descriptor Vertex; |
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Vertex s = vertex(source, graph); |
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Vertex t = vertex(target, graph); |
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graph[s].id=source; |
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graph[t].id=target; |
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graph[s].x=s_x; |
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graph[s].y=s_y; |
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graph[t].x=t_x; |
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graph[t].y=t_y; |
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} |
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int |
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boost_shooting_star(edge_shooting_star_t *edges_array, unsigned int count, |
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int source_edge_id, int target_edge_id, |
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bool directed, bool has_reverse_cost, |
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path_element_t **path, int *path_count, char **err_msg, int e_max_id) |
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{ |
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typedef adjacency_list<vecS, vecS, directedS, Vertex, Edge> graph_t; |
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typedef graph_traits < graph_t >::vertex_descriptor vertex_descriptor; |
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typedef graph_traits < graph_t >::edge_descriptor edge_descriptor; |
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const unsigned int num_nodes = /*1*/count*2; |
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int z; |
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int src, trg, offset; |
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graph_t graph(num_nodes); |
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std::map< int, std::pair<float8, vector<int> >, std::less<int> > adjacent_edges; |
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std::map< int, int, std::less<int> > vertices; |
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offset = 0; |
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for (std::size_t j = 0; j < count; ++j) |
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{ |
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//Vertex ids renumbering moved here |
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src = edges_array[j].source; |
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trg = edges_array[j].target; |
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if(vertices[src]==NULL) |
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//if (vertices.find(edges_array[j].source) == vertices.end()) |
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{ |
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vertices[src]=j+offset; |
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edges_array[j].source=j+offset; |
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} |
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else |
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{ |
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edges_array[j].source=vertices[src]; |
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} |
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if(vertices[trg]==NULL) |
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//if (vertices.find(edges_array[j].target) == vertices.end()) |
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{ |
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offset++; |
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vertices[trg]=j+offset; |
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edges_array[j].target=j+offset; |
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} |
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else |
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{ |
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edges_array[j].target=vertices[trg]; |
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} |
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adjacent_edges[edges_array[j].id].first = edges_array[j].to_cost; |
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for(z=0; z<MAX_RULE_LENGTH;++z) |
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{ |
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if(edges_array[j].rule[z] > 0) |
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{ |
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adjacent_edges[edges_array[j].id].second.push_back(edges_array[j].rule[z]); |
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} |
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} |
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if((j < count-1 && edges_array[j].id != edges_array[j+1].id)||(j==count-1)) |
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{ |
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graph_add_edge<graph_t, edge_descriptor>(graph, |
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edges_array[j].id, edges_array[j].source, |
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edges_array[j].target, edges_array[j].cost, |
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edges_array[j].s_x, edges_array[j].s_y, |
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edges_array[j].t_x, edges_array[j].t_y, adjacent_edges); |
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if (!directed || (directed && has_reverse_cost)) |
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{ |
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float8 cost; |
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if (has_reverse_cost) |
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{ |
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cost = edges_array[j].reverse_cost; |
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} |
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else |
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{ |
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cost = edges_array[j].cost; |
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} |
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graph_add_edge<graph_t, edge_descriptor>(graph, |
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edges_array[j].id+e_max_id, edges_array[j].target, |
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edges_array[j].source, cost, |
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edges_array[j].s_x, edges_array[j].s_y, |
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edges_array[j].t_x, edges_array[j].t_y, adjacent_edges); |
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} |
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adjacent_edges.clear(); |
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} |
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} |
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std::map< int, edge_descriptor, std::less<int> > predecessors; |
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edge_descriptor source_edge; |
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edge_descriptor target_edge; |
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bool source_found = false, target_found = false; |
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graph_traits<graph_t>::edge_iterator ei, ei_end; |
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int index; |
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index = 1; |
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for(tie(ei, ei_end) = edges(graph); ei != ei_end; ++ei, ++index) |
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graph[*ei].index = index; |
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for(tie(ei, ei_end) = edges(graph); ei != ei_end; ++ei) |
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{ |
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if(graph[*ei].id == source_edge_id) |
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{ |
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source_edge = *ei; |
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source_found = true; |
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break; |
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} |
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} |
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if (!source_found) |
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{ |
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*err_msg = "Source edge not found"; |
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return -1; |
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} |
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for(tie(ei, ei_end) = edges(graph); ei != ei_end; ++ei) |
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{ |
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if(graph[*ei].id == target_edge_id) |
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{ |
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target_edge = *ei; |
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target_found = true; |
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break; |
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} |
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} |
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if (!target_found) |
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{ |
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*err_msg = "Target edge not found"; |
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return -1; |
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} |
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std::vector<float8> distances(num_edges(graph)); |
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std::vector<default_color_type> edge_colors(num_edges(graph), color_traits<default_color_type>::white()); |
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property_map<graph_t, std::vector< int > Edge::*>::type history = get(&Edge::history, graph); |
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property_map<graph_t, std::size_t Edge::*>::type edge_index = get(&Edge::index, graph); |
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property_map<graph_t, float8 Edge::*>::type rank = get(&Edge::rank, graph); |
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property_map<graph_t, float8 Edge::*>::type distance = get(&Edge::distance, graph); |
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try |
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{ |
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shooting_star_search |
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(graph, source_edge, |
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distance_heuristic<graph_t, float>(graph, target_edge), |
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weight_map(get(&Edge::cost, graph)). |
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weight_map2(get(&Edge::adjacent_edges, graph)). |
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vertex_color_map(get(&Vertex::color, graph)). |
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edge_color_map(get(&Edge::color, graph)). |
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visitor(shooting_star_goal_visitor<edge_descriptor>(target_edge)), |
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edge_index, |
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distance, rank, |
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history, |
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predecessors, e_max_id |
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); |
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} |
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catch(found_goal fg) { |
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vector<edge_descriptor> path_vect; |
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int max = MAX_NODES; |
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path_vect.push_back(target_edge); |
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while (target_edge != source_edge) |
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{ |
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if ((target_edge == predecessors[graph[target_edge].id]) && (predecessors[graph[target_edge].id] != source_edge)) |
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{ |
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*err_msg = "No path found"; |
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return -1; |
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|
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} |
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target_edge = predecessors[graph[target_edge].id]; |
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if(target_edge == predecessors[graph[target_edge].id] ) |
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continue; |
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path_vect.push_back(target_edge); |
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if (!max--) |
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{ |
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*err_msg = "Overflow"; |
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return -1; |
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} |
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} |
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|
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*path = (path_element_t *) malloc(sizeof(path_element_t) * |
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(path_vect.size() + 1)); |
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*path_count = path_vect.size(); |
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for(int i = path_vect.size() - 1, j = 0; i >= 0; i--, j++) |
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{ |
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graph_traits < graph_t >::edge_descriptor e; |
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e = path_vect.at(i); |
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if(graph[e].id > e_max_id) |
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graph[e].id -= e_max_id; |
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(*path)[j].edge_id = graph[e].id; |
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(*path)[j].cost = graph[e].cost; |
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(*path)[j].vertex_id = source(e, graph); |
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} |
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return EXIT_SUCCESS; |
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} |
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|
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} |
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|
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