1 | |
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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 | typedef typename property_traits<DistanceMap>::value_type distance_type; |
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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 | |
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161 | if(m_decreased) { |
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162 | m_vis.edge_relaxed(e, g); |
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163 | put(m_cost, target(e, g), |
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164 | m_combine(get(m_distance, target(e, g)), |
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165 | m_h(target(e, g)))); |
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166 | } else |
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167 | m_vis.edge_not_relaxed(e, g); |
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168 | } |
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169 | |
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170 | |
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171 | template <class Edge, class Graph> |
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172 | void gray_target(Edge e, Graph& g) { |
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173 | distance_type old_distance = get(m_distance, target(e, g)); |
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174 | |
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175 | m_decreased = relax(e, g, m_weight, m_predecessor, m_distance, |
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176 | m_combine, m_compare); |
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177 | |
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178 | /* On x86 Linux with optimization, we sometimes get into a |
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179 | horrible case where m_decreased is true but the distance hasn't |
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180 | actually changed. This occurs when the comparison inside |
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181 | relax() occurs with the 80-bit precision of the x87 floating |
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182 | point unit, but the difference is lost when the resulting |
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183 | values are written back to lower-precision memory (e.g., a |
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184 | double). With the eager Dijkstra's implementation, this results |
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185 | in looping. */ |
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186 | if(m_decreased && old_distance != get(m_distance, target(e, g))) { |
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187 | put(m_cost, target(e, g), |
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188 | m_combine(get(m_distance, target(e, g)), |
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189 | m_h(target(e, g)))); |
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190 | m_Q.update(target(e, g)); |
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191 | m_vis.edge_relaxed(e, g); |
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192 | } else |
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193 | m_vis.edge_not_relaxed(e, g); |
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194 | } |
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195 | |
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196 | |
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197 | template <class Edge, class Graph> |
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198 | void black_target(Edge e, Graph& g) { |
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199 | distance_type old_distance = get(m_distance, target(e, g)); |
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200 | |
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201 | m_decreased = relax(e, g, m_weight, m_predecessor, m_distance, |
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202 | m_combine, m_compare); |
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203 | |
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204 | /* See comment in gray_target */ |
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205 | if(m_decreased && old_distance != get(m_distance, target(e, g))) { |
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206 | m_vis.edge_relaxed(e, g); |
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207 | put(m_cost, target(e, g), |
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208 | m_combine(get(m_distance, target(e, g)), |
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209 | m_h(target(e, g)))); |
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210 | m_Q.push(target(e, g)); |
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211 | put(m_color, target(e, g), Color::gray()); |
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212 | m_vis.black_target(e, g); |
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213 | } else |
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214 | m_vis.edge_not_relaxed(e, g); |
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215 | } |
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216 | |
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217 | |
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218 | |
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219 | AStarHeuristic m_h; |
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220 | UniformCostVisitor m_vis; |
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221 | UpdatableQueue& m_Q; |
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222 | PredecessorMap m_predecessor; |
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223 | CostMap m_cost; |
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224 | DistanceMap m_distance; |
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225 | WeightMap m_weight; |
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226 | ColorMap m_color; |
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227 | BinaryFunction m_combine; |
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228 | BinaryPredicate m_compare; |
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229 | bool m_decreased; |
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230 | C m_zero; |
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231 | |
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232 | }; |
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233 | |
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234 | } // namespace detail |
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235 | |
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236 | |
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237 | |
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238 | template <typename VertexListGraph, typename AStarHeuristic, |
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239 | typename AStarVisitor, typename PredecessorMap, |
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240 | typename CostMap, typename DistanceMap, |
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241 | typename WeightMap, typename ColorMap, |
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242 | typename VertexIndexMap, |
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243 | typename CompareFunction, typename CombineFunction, |
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244 | typename CostInf, typename CostZero> |
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245 | inline void |
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246 | astar_search_no_init |
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247 | (VertexListGraph &g, |
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248 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
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249 | AStarHeuristic h, AStarVisitor vis, |
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250 | PredecessorMap predecessor, CostMap cost, |
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251 | DistanceMap distance, WeightMap weight, |
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252 | ColorMap color, VertexIndexMap index_map, |
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253 | CompareFunction compare, CombineFunction combine, |
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254 | CostInf inf, CostZero zero) |
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255 | { |
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256 | typedef indirect_cmp<CostMap, CompareFunction> IndirectCmp; |
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257 | IndirectCmp icmp(cost, compare); |
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258 | |
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259 | typedef typename graph_traits<VertexListGraph>::vertex_descriptor |
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260 | Vertex; |
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261 | typedef mutable_queue<Vertex, std::vector<Vertex>, |
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262 | IndirectCmp, VertexIndexMap> |
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263 | MutableQueue; |
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264 | MutableQueue Q(num_vertices(g), icmp, index_map); |
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265 | |
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266 | detail::astar_bfs_visitor<AStarHeuristic, AStarVisitor, |
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267 | MutableQueue, PredecessorMap, CostMap, DistanceMap, |
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268 | WeightMap, ColorMap, CombineFunction, CompareFunction> |
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269 | bfs_vis(h, vis, Q, predecessor, cost, distance, weight, |
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270 | color, combine, compare, zero); |
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271 | |
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272 | breadth_first_visit(g, s, Q, bfs_vis, color); |
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273 | } |
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274 | |
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275 | |
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276 | // Non-named parameter interface |
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277 | template <typename VertexListGraph, typename AStarHeuristic, |
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278 | typename AStarVisitor, typename PredecessorMap, |
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279 | typename CostMap, typename DistanceMap, |
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280 | typename WeightMap, typename VertexIndexMap, |
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281 | typename ColorMap, |
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282 | typename CompareFunction, typename CombineFunction, |
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283 | typename CostInf, typename CostZero> |
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284 | inline void |
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285 | astar_search |
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286 | (VertexListGraph &g, |
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287 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
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288 | AStarHeuristic h, AStarVisitor vis, |
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289 | PredecessorMap predecessor, CostMap cost, |
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290 | DistanceMap distance, WeightMap weight, |
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291 | VertexIndexMap index_map, ColorMap color, |
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292 | CompareFunction compare, CombineFunction combine, |
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293 | CostInf inf, CostZero zero) |
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294 | { |
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295 | |
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296 | typedef typename property_traits<ColorMap>::value_type ColorValue; |
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297 | typedef color_traits<ColorValue> Color; |
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298 | typename graph_traits<VertexListGraph>::vertex_iterator ui, ui_end; |
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299 | for (tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui) { |
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300 | put(color, *ui, Color::white()); |
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301 | put(distance, *ui, inf); |
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302 | put(cost, *ui, inf); |
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303 | put(predecessor, *ui, *ui); |
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304 | vis.initialize_vertex(*ui, g); |
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305 | } |
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306 | put(distance, s, zero); |
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307 | put(cost, s, h(s)); |
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308 | |
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309 | astar_search_no_init |
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310 | (g, s, h, vis, predecessor, cost, distance, weight, |
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311 | color, index_map, compare, combine, inf, zero); |
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312 | |
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313 | } |
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314 | |
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315 | |
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316 | |
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317 | namespace detail { |
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318 | template <class VertexListGraph, class AStarHeuristic, |
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319 | class CostMap, class DistanceMap, class WeightMap, |
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320 | class IndexMap, class ColorMap, class Params> |
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321 | inline void |
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322 | astar_dispatch2 |
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323 | (VertexListGraph& g, |
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324 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
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325 | AStarHeuristic h, CostMap cost, DistanceMap distance, |
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326 | WeightMap weight, IndexMap index_map, ColorMap color, |
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327 | const Params& params) |
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328 | { |
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329 | dummy_property_map p_map; |
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330 | typedef typename property_traits<CostMap>::value_type C; |
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331 | astar_search |
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332 | (g, s, h, |
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333 | choose_param(get_param(params, graph_visitor), |
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334 | make_astar_visitor(null_visitor())), |
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335 | choose_param(get_param(params, vertex_predecessor), p_map), |
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336 | cost, distance, weight, index_map, color, |
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337 | choose_param(get_param(params, distance_compare_t()), |
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338 | std::less<C>()), |
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339 | choose_param(get_param(params, distance_combine_t()), |
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340 | closed_plus<C>()), |
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341 | choose_param(get_param(params, distance_inf_t()), |
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342 | std::numeric_limits<C>::max BOOST_PREVENT_MACRO_SUBSTITUTION ()), |
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343 | choose_param(get_param(params, distance_zero_t()), |
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344 | C())); |
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345 | } |
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346 | |
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347 | template <class VertexListGraph, class AStarHeuristic, |
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348 | class CostMap, class DistanceMap, class WeightMap, |
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349 | class IndexMap, class ColorMap, class Params> |
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350 | inline void |
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351 | astar_dispatch1 |
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352 | (VertexListGraph& g, |
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353 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
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354 | AStarHeuristic h, CostMap cost, DistanceMap distance, |
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355 | WeightMap weight, IndexMap index_map, ColorMap color, |
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356 | const Params& params) |
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357 | { |
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358 | typedef typename property_traits<WeightMap>::value_type D; |
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359 | typename std::vector<D>::size_type |
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360 | n = is_default_param(distance) ? num_vertices(g) : 1; |
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361 | std::vector<D> distance_map(n); |
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362 | n = is_default_param(cost) ? num_vertices(g) : 1; |
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363 | std::vector<D> cost_map(n); |
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364 | std::vector<default_color_type> color_map(num_vertices(g)); |
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365 | default_color_type c = white_color; |
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366 | |
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367 | detail::astar_dispatch2 |
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368 | (g, s, h, |
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369 | choose_param(cost, make_iterator_property_map |
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370 | (cost_map.begin(), index_map, |
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371 | cost_map[0])), |
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372 | choose_param(distance, make_iterator_property_map |
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373 | (distance_map.begin(), index_map, |
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374 | distance_map[0])), |
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375 | weight, index_map, |
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376 | choose_param(color, make_iterator_property_map |
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377 | (color_map.begin(), index_map, c)), |
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378 | params); |
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379 | } |
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380 | } // namespace detail |
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381 | |
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382 | |
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383 | // Named parameter interface |
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384 | template <typename VertexListGraph, |
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385 | typename AStarHeuristic, |
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386 | typename P, typename T, typename R> |
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387 | void |
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388 | astar_search |
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389 | (VertexListGraph &g, |
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390 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
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391 | AStarHeuristic h, const bgl_named_params<P, T, R>& params) |
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392 | { |
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393 | |
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394 | detail::astar_dispatch1 |
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395 | (g, s, h, |
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396 | get_param(params, vertex_rank), |
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397 | get_param(params, vertex_distance), |
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398 | choose_const_pmap(get_param(params, edge_weight), g, edge_weight), |
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399 | choose_const_pmap(get_param(params, vertex_index), g, vertex_index), |
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400 | get_param(params, vertex_color), |
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401 | params); |
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402 | |
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403 | } |
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404 | |
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405 | } // namespace boost |
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406 | |
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407 | #endif // BOOST_GRAPH_ASTAR_SEARCH_HPP |
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