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2 |
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3 | //
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4 | //=======================================================================
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5 | // Copyright (c) 2004 Kristopher Beevers
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6 | //
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7 | // Distributed under the Boost Software License, Version 1.0. (See
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8 | // accompanying file LICENSE_1_0.txt or copy at
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9 | // http://www.boost.org/LICENSE_1_0.txt)
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10 | //=======================================================================
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11 | //
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12 |
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13 | #ifndef BOOST_GRAPH_ASTAR_SEARCH_HPP
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14 | #define BOOST_GRAPH_ASTAR_SEARCH_HPP
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15 |
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16 |
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17 | #include <functional>
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18 | #include <boost/limits.hpp>
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19 | #include <boost/graph/named_function_params.hpp>
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20 | #include <boost/pending/mutable_queue.hpp>
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21 | #include <boost/graph/relax.hpp>
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22 | #include <boost/pending/indirect_cmp.hpp>
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23 | #include <boost/graph/exception.hpp>
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24 | #include <boost/graph/breadth_first_search.hpp>
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25 |
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26 |
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27 | namespace boost {
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28 |
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29 |
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30 | template <class Heuristic, class Graph>
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31 | struct AStarHeuristicConcept {
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32 | void constraints()
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33 | {
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34 | function_requires< CopyConstructibleConcept<Heuristic> >();
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35 | h(u);
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36 | }
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37 | Heuristic h;
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38 | typename graph_traits<Graph>::vertex_descriptor u;
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39 | };
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40 |
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41 |
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42 | template <class Graph, class CostType>
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43 | class astar_heuristic : public std::unary_function<
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44 | typename graph_traits<Graph>::vertex_descriptor, CostType>
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45 | {
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46 | public:
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47 | typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
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48 | astar_heuristic() {}
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49 | CostType operator()(Vertex u) { return static_cast<CostType>(0); }
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50 | };
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51 |
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52 |
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53 |
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54 | template <class Visitor, class Graph>
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55 | struct AStarVisitorConcept {
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56 | void constraints()
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57 | {
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58 | function_requires< CopyConstructibleConcept<Visitor> >();
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59 | vis.initialize_vertex(u, g);
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60 | vis.discover_vertex(u, g);
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61 | vis.examine_vertex(u, g);
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62 | vis.examine_edge(e, g);
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63 | vis.edge_relaxed(e, g);
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64 | vis.edge_not_relaxed(e, g);
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65 | vis.black_target(e, g);
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66 | vis.finish_vertex(u, g);
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67 | }
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68 | Visitor vis;
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69 | Graph g;
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70 | typename graph_traits<Graph>::vertex_descriptor u;
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71 | typename graph_traits<Graph>::edge_descriptor e;
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72 | };
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73 |
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74 |
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75 | template <class Visitors = null_visitor>
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76 | class astar_visitor : public bfs_visitor<Visitors> {
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77 | public:
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78 | astar_visitor() {}
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79 | astar_visitor(Visitors vis)
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80 | : bfs_visitor<Visitors>(vis) {}
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81 |
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82 | template <class Edge, class Graph>
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83 | void edge_relaxed(Edge e, Graph& g) {
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84 | invoke_visitors(this->m_vis, e, g, on_edge_relaxed());
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85 | }
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86 | template <class Edge, class Graph>
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87 | void edge_not_relaxed(Edge e, Graph& g) {
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88 | invoke_visitors(this->m_vis, e, g, on_edge_not_relaxed());
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89 | }
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90 | private:
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91 | template <class Edge, class Graph>
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92 | void tree_edge(Edge e, Graph& g) {}
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93 | template <class Edge, class Graph>
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94 | void non_tree_edge(Edge e, Graph& g) {}
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95 | };
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96 | template <class Visitors>
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97 | astar_visitor<Visitors>
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98 | make_astar_visitor(Visitors vis) {
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99 | return astar_visitor<Visitors>(vis);
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100 | }
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101 | typedef astar_visitor<> default_astar_visitor;
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102 |
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103 |
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104 | namespace detail {
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105 |
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106 | template <class AStarHeuristic, class UniformCostVisitor,
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107 | class UpdatableQueue, class PredecessorMap,
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108 | class CostMap, class DistanceMap, class WeightMap,
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109 | class ColorMap, class BinaryFunction,
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110 | class BinaryPredicate>
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111 | struct astar_bfs_visitor
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112 | {
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113 |
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114 | typedef typename property_traits<CostMap>::value_type C;
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115 | typedef typename property_traits<ColorMap>::value_type ColorValue;
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116 | typedef color_traits<ColorValue> Color;
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117 |
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118 |
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119 | astar_bfs_visitor(AStarHeuristic h, UniformCostVisitor vis,
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120 | UpdatableQueue& Q, PredecessorMap p,
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121 | CostMap c, DistanceMap d, WeightMap w,
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122 | ColorMap col, BinaryFunction combine,
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123 | BinaryPredicate compare, C zero)
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124 | : m_h(h), m_vis(vis), m_Q(Q), m_predecessor(p), m_cost(c),
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125 | m_distance(d), m_weight(w), m_color(col),
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126 | m_combine(combine), m_compare(compare), m_zero(zero) {}
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127 |
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128 |
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129 | template <class Vertex, class Graph>
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130 | void initialize_vertex(Vertex u, Graph& g) {
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131 | m_vis.initialize_vertex(u, g);
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132 | }
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133 | template <class Vertex, class Graph>
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134 | void discover_vertex(Vertex u, Graph& g) {
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135 | m_vis.discover_vertex(u, g);
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136 | }
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137 | template <class Vertex, class Graph>
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138 | void examine_vertex(Vertex u, Graph& g) {
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139 | m_vis.examine_vertex(u, g);
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140 | }
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141 | template <class Vertex, class Graph>
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142 | void finish_vertex(Vertex u, Graph& g) {
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143 | m_vis.finish_vertex(u, g);
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144 | }
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145 | template <class Edge, class Graph>
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146 | void examine_edge(Edge e, Graph& g) {
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147 | if (m_compare(get(m_weight, e), m_zero))
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148 | throw negative_edge();
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149 | m_vis.examine_edge(e, g);
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150 | }
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151 | template <class Edge, class Graph>
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152 | void non_tree_edge(Edge, Graph&) {}
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153 |
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154 |
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155 |
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156 | template <class Edge, class Graph>
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157 | void tree_edge(Edge e, Graph& g) {
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158 | m_decreased = relax(e, g, m_weight, m_predecessor, m_distance,
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159 | m_combine, m_compare);
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160 | if(m_decreased) {
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161 | m_vis.edge_relaxed(e, g);
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162 | put(m_cost, target(e, g),
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163 | m_combine(get(m_distance, target(e, g)),
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164 | m_h(target(e, g))));
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165 | } else
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166 | m_vis.edge_not_relaxed(e, g);
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167 | }
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168 |
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169 |
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170 | template <class Edge, class Graph>
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171 | void gray_target(Edge e, Graph& g) {
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172 | m_decreased = relax(e, g, m_weight, m_predecessor, m_distance,
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173 | m_combine, m_compare);
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174 | if(m_decreased) {
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175 | put(m_cost, target(e, g),
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176 | m_combine(get(m_distance, target(e, g)),
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177 | m_h(target(e, g))));
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178 | m_Q.update(target(e, g));
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179 | m_vis.edge_relaxed(e, g);
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180 | } else
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181 | m_vis.edge_not_relaxed(e, g);
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182 | }
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183 |
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184 |
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185 | template <class Edge, class Graph>
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186 | void black_target(Edge e, Graph& g) {
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187 | m_decreased = relax(e, g, m_weight, m_predecessor, m_distance,
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188 | m_combine, m_compare);
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189 | if(m_decreased) {
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190 | m_vis.edge_relaxed(e, g);
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191 | put(m_cost, target(e, g),
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192 | m_combine(get(m_distance, target(e, g)),
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193 | m_h(target(e, g))));
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194 | m_Q.push(target(e, g));
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195 | put(m_color, target(e, g), Color::gray());
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196 | m_vis.black_target(e, g);
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197 | } else
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198 | m_vis.edge_not_relaxed(e, g);
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199 | }
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200 |
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201 |
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202 |
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203 | AStarHeuristic m_h;
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204 | UniformCostVisitor m_vis;
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205 | UpdatableQueue& m_Q;
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206 | PredecessorMap m_predecessor;
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207 | CostMap m_cost;
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208 | DistanceMap m_distance;
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209 | WeightMap m_weight;
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210 | ColorMap m_color;
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211 | BinaryFunction m_combine;
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212 | BinaryPredicate m_compare;
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213 | bool m_decreased;
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214 | C m_zero;
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215 |
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216 | };
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217 |
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218 | } // namespace detail
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219 |
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220 |
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221 |
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222 | template <typename VertexListGraph, typename AStarHeuristic,
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223 | typename AStarVisitor, typename PredecessorMap,
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224 | typename CostMap, typename DistanceMap,
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225 | typename WeightMap, typename ColorMap,
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226 | typename VertexIndexMap,
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227 | typename CompareFunction, typename CombineFunction,
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228 | typename CostInf, typename CostZero>
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229 | inline void
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230 | astar_search_no_init
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231 | (VertexListGraph &g,
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232 | typename graph_traits<VertexListGraph>::vertex_descriptor s,
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233 | AStarHeuristic h, AStarVisitor vis,
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234 | PredecessorMap predecessor, CostMap cost,
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235 | DistanceMap distance, WeightMap weight,
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236 | ColorMap color, VertexIndexMap index_map,
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237 | CompareFunction compare, CombineFunction combine,
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238 | CostInf inf, CostZero zero)
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239 | {
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240 | typedef indirect_cmp<CostMap, CompareFunction> IndirectCmp;
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241 | IndirectCmp icmp(cost, compare);
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242 |
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243 | typedef typename graph_traits<VertexListGraph>::vertex_descriptor
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244 | Vertex;
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245 | typedef mutable_queue<Vertex, std::vector<Vertex>,
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246 | IndirectCmp, VertexIndexMap>
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247 | MutableQueue;
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248 | MutableQueue Q(num_vertices(g), icmp, index_map);
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249 |
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250 | detail::astar_bfs_visitor<AStarHeuristic, AStarVisitor,
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251 | MutableQueue, PredecessorMap, CostMap, DistanceMap,
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252 | WeightMap, ColorMap, CombineFunction, CompareFunction>
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253 | bfs_vis(h, vis, Q, predecessor, cost, distance, weight,
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254 | color, combine, compare, zero);
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255 |
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256 | breadth_first_visit(g, s, Q, bfs_vis, color);
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257 | }
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258 |
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259 |
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260 | // Non-named parameter interface
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261 | template <typename VertexListGraph, typename AStarHeuristic,
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262 | typename AStarVisitor, typename PredecessorMap,
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263 | typename CostMap, typename DistanceMap,
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264 | typename WeightMap, typename VertexIndexMap,
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265 | typename ColorMap,
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266 | typename CompareFunction, typename CombineFunction,
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267 | typename CostInf, typename CostZero>
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268 | inline void
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269 | astar_search
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270 | (VertexListGraph &g,
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271 | typename graph_traits<VertexListGraph>::vertex_descriptor s,
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272 | AStarHeuristic h, AStarVisitor vis,
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273 | PredecessorMap predecessor, CostMap cost,
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274 | DistanceMap distance, WeightMap weight,
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275 | VertexIndexMap index_map, ColorMap color,
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276 | CompareFunction compare, CombineFunction combine,
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277 | CostInf inf, CostZero zero)
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278 | {
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279 |
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280 | typedef typename property_traits<ColorMap>::value_type ColorValue;
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281 | typedef color_traits<ColorValue> Color;
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282 | typename graph_traits<VertexListGraph>::vertex_iterator ui, ui_end;
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283 | for (tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui) {
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284 | put(color, *ui, Color::white());
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285 | put(distance, *ui, inf);
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286 | put(cost, *ui, inf);
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287 | put(predecessor, *ui, *ui);
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288 | }
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289 | put(distance, s, zero);
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290 | put(cost, s, h(s));
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291 |
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292 | astar_search_no_init
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293 | (g, s, h, vis, predecessor, cost, distance, weight,
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294 | color, index_map, compare, combine, inf, zero);
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295 |
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296 | }
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297 |
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298 |
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299 |
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300 | namespace detail {
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301 | template <class VertexListGraph, class AStarHeuristic,
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302 | class CostMap, class DistanceMap, class WeightMap,
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303 | class IndexMap, class ColorMap, class Params>
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304 | inline void
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305 | astar_dispatch2
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306 | (VertexListGraph& g,
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307 | typename graph_traits<VertexListGraph>::vertex_descriptor s,
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308 | AStarHeuristic h, CostMap cost, DistanceMap distance,
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309 | WeightMap weight, IndexMap index_map, ColorMap color,
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310 | const Params& params)
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311 | {
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312 | dummy_property_map p_map;
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313 | typedef typename property_traits<CostMap>::value_type C;
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314 | astar_search
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315 | (g, s, h,
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316 | choose_param(get_param(params, graph_visitor),
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317 | make_astar_visitor(null_visitor())),
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318 | choose_param(get_param(params, vertex_predecessor), p_map),
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319 | cost, distance, weight, index_map, color,
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320 | choose_param(get_param(params, distance_compare_t()),
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321 | std::less<C>()),
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322 | choose_param(get_param(params, distance_combine_t()),
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323 | closed_plus<C>()),
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324 | choose_param(get_param(params, distance_inf_t()),
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325 | std::numeric_limits<C>::max BOOST_PREVENT_MACRO_SUBSTITUTION ()),
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326 | choose_param(get_param(params, distance_zero_t()),
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327 | C()));
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328 | }
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329 |
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330 | template <class VertexListGraph, class AStarHeuristic,
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331 | class CostMap, class DistanceMap, class WeightMap,
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332 | class IndexMap, class ColorMap, class Params>
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333 | inline void
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334 | astar_dispatch1
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335 | (VertexListGraph& g,
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336 | typename graph_traits<VertexListGraph>::vertex_descriptor s,
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337 | AStarHeuristic h, CostMap cost, DistanceMap distance,
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338 | WeightMap weight, IndexMap index_map, ColorMap color,
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339 | const Params& params)
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340 | {
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341 | typedef typename property_traits<WeightMap>::value_type D;
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342 | typename std::vector<D>::size_type
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343 | n = is_default_param(distance) ? num_vertices(g) : 1;
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344 | std::vector<D> distance_map(n);
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345 | n = is_default_param(cost) ? num_vertices(g) : 1;
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346 | std::vector<D> cost_map(n);
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347 | std::vector<default_color_type> color_map(num_vertices(g));
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348 | default_color_type c = white_color;
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349 |
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350 | detail::astar_dispatch2
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351 | (g, s, h,
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352 | choose_param(cost, make_iterator_property_map
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353 | (cost_map.begin(), index_map,
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354 | cost_map[0])),
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355 | choose_param(distance, make_iterator_property_map
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356 | (distance_map.begin(), index_map,
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357 | distance_map[0])),
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358 | weight, index_map,
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359 | choose_param(color, make_iterator_property_map
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360 | (color_map.begin(), index_map, c)),
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361 | params);
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362 | }
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363 | } // namespace detail
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364 |
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365 |
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366 | // Named parameter interface
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367 | template <typename VertexListGraph,
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368 | typename AStarHeuristic,
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369 | typename P, typename T, typename R>
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370 | void
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371 | astar_search
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372 | (VertexListGraph &g,
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373 | typename graph_traits<VertexListGraph>::vertex_descriptor s,
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374 | AStarHeuristic h, const bgl_named_params<P, T, R>& params)
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375 | {
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376 |
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377 | detail::astar_dispatch1
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378 | (g, s, h,
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379 | get_param(params, vertex_rank),
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380 | get_param(params, vertex_distance),
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381 | choose_const_pmap(get_param(params, edge_weight), g, edge_weight),
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382 | choose_const_pmap(get_param(params, vertex_index), g, vertex_index),
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383 | get_param(params, vertex_color),
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384 | params);
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385 |
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386 | }
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387 |
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388 | } // namespace boost
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389 |
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390 | #endif // BOOST_GRAPH_ASTAR_SEARCH_HPP
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