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1 //
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2 //=======================================================================
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3 // Copyright 1997, 1998, 1999, 2000 University of Notre Dame.
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4 // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek
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5 //
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6 // Distributed under the Boost Software License, Version 1.0. (See
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7 // accompanying file LICENSE_1_0.txt or copy at
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8 // http://www.boost.org/LICENSE_1_0.txt)
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9 //=======================================================================
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10 //
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11 #ifndef BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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12 #define BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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13
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14 /*
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15 Breadth First Search Algorithm (Cormen, Leiserson, and Rivest p. 470)
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16 */
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17 #include <boost/config.hpp>
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18 #include <vector>
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19 #include <boost/pending/queue.hpp>
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20 #include <boost/graph/graph_traits.hpp>
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21 #include <boost/graph/graph_concepts.hpp>
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22 #include <boost/graph/visitors.hpp>
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23 #include <boost/graph/named_function_params.hpp>
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24 #include <boost/graph/overloading.hpp>
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25 #include <boost/graph/graph_concepts.hpp>
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26 #include <boost/graph/two_bit_color_map.hpp>
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27 #include <boost/concept/assert.hpp>
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28
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29 #ifdef BOOST_GRAPH_USE_MPI
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30 #include <boost/graph/distributed/concepts.hpp>
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31 #endif // BOOST_GRAPH_USE_MPI
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32
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33 namespace boost {
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34
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35 template <class Visitor, class Graph>
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36 struct BFSVisitorConcept {
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37 void constraints() {
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38 BOOST_CONCEPT_ASSERT(( CopyConstructibleConcept<Visitor> ));
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39 vis.initialize_vertex(u, g);
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40 vis.discover_vertex(u, g);
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41 vis.examine_vertex(u, g);
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42 vis.examine_edge(e, g);
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43 vis.tree_edge(e, g);
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44 vis.non_tree_edge(e, g);
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45 vis.gray_target(e, g);
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46 vis.black_target(e, g);
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47 vis.finish_vertex(u, g);
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48 }
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49 Visitor vis;
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50 Graph g;
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51 typename graph_traits<Graph>::vertex_descriptor u;
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52 typename graph_traits<Graph>::edge_descriptor e;
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53 };
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54
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55
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56 // Multiple-source version
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57 template <class IncidenceGraph, class Buffer, class BFSVisitor,
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58 class ColorMap, class SourceIterator>
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59 void breadth_first_visit
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60 (const IncidenceGraph& g,
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61 SourceIterator sources_begin, SourceIterator sources_end,
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62 Buffer& Q, BFSVisitor vis, ColorMap color)
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63 {
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64 BOOST_CONCEPT_ASSERT(( IncidenceGraphConcept<IncidenceGraph> ));
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65 typedef graph_traits<IncidenceGraph> GTraits;
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66 typedef typename GTraits::vertex_descriptor Vertex;
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67 BOOST_CONCEPT_ASSERT(( BFSVisitorConcept<BFSVisitor, IncidenceGraph> ));
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68 BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<ColorMap, Vertex> ));
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69 typedef typename property_traits<ColorMap>::value_type ColorValue;
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70 typedef color_traits<ColorValue> Color;
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71 typename GTraits::out_edge_iterator ei, ei_end;
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72
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73 for (; sources_begin != sources_end; ++sources_begin) {
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74 Vertex s = *sources_begin;
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75 put(color, s, Color::gray()); vis.discover_vertex(s, g);
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76 Q.push(s);
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77 }
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78 while (! Q.empty()) {
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79 Vertex u = Q.top(); Q.pop(); vis.examine_vertex(u, g);
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80 for (boost::tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) {
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81 Vertex v = target(*ei, g); vis.examine_edge(*ei, g);
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82 ColorValue v_color = get(color, v);
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83 if (v_color == Color::white()) { vis.tree_edge(*ei, g);
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84 put(color, v, Color::gray()); vis.discover_vertex(v, g);
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85 Q.push(v);
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86 } else { vis.non_tree_edge(*ei, g);
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87 if (v_color == Color::gray()) vis.gray_target(*ei, g);
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88 else vis.black_target(*ei, g);
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89 }
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90 } // end for
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91 put(color, u, Color::black()); vis.finish_vertex(u, g);
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92 } // end while
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93 } // breadth_first_visit
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94
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95 // Single-source version
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96 template <class IncidenceGraph, class Buffer, class BFSVisitor,
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97 class ColorMap>
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98 void breadth_first_visit
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99 (const IncidenceGraph& g,
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100 typename graph_traits<IncidenceGraph>::vertex_descriptor s,
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101 Buffer& Q, BFSVisitor vis, ColorMap color)
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102 {
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103 typename graph_traits<IncidenceGraph>::vertex_descriptor sources[1] = {s};
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104 breadth_first_visit(g, sources, sources + 1, Q, vis, color);
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105 }
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106
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107
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108 template <class VertexListGraph, class SourceIterator,
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109 class Buffer, class BFSVisitor,
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110 class ColorMap>
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111 void breadth_first_search
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112 (const VertexListGraph& g,
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113 SourceIterator sources_begin, SourceIterator sources_end,
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114 Buffer& Q, BFSVisitor vis, ColorMap color)
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115 {
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116 // Initialization
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117 typedef typename property_traits<ColorMap>::value_type ColorValue;
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118 typedef color_traits<ColorValue> Color;
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119 typename boost::graph_traits<VertexListGraph>::vertex_iterator i, i_end;
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120 for (boost::tie(i, i_end) = vertices(g); i != i_end; ++i) {
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121 vis.initialize_vertex(*i, g);
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122 put(color, *i, Color::white());
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123 }
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124 breadth_first_visit(g, sources_begin, sources_end, Q, vis, color);
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125 }
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126
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127 template <class VertexListGraph, class Buffer, class BFSVisitor,
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128 class ColorMap>
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129 void breadth_first_search
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130 (const VertexListGraph& g,
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131 typename graph_traits<VertexListGraph>::vertex_descriptor s,
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132 Buffer& Q, BFSVisitor vis, ColorMap color)
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133 {
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134 typename graph_traits<VertexListGraph>::vertex_descriptor sources[1] = {s};
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135 breadth_first_search(g, sources, sources + 1, Q, vis, color);
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136 }
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137
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138 namespace graph { struct bfs_visitor_event_not_overridden {}; }
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139
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140
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141 template <class Visitors = null_visitor>
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142 class bfs_visitor {
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143 public:
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144 bfs_visitor() { }
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145 bfs_visitor(Visitors vis) : m_vis(vis) { }
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146
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147 template <class Vertex, class Graph>
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148 graph::bfs_visitor_event_not_overridden
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149 initialize_vertex(Vertex u, Graph& g)
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150 {
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151 invoke_visitors(m_vis, u, g, ::boost::on_initialize_vertex());
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152 return graph::bfs_visitor_event_not_overridden();
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153 }
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154
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155 template <class Vertex, class Graph>
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156 graph::bfs_visitor_event_not_overridden
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157 discover_vertex(Vertex u, Graph& g)
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158 {
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159 invoke_visitors(m_vis, u, g, ::boost::on_discover_vertex());
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160 return graph::bfs_visitor_event_not_overridden();
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161 }
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162
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163 template <class Vertex, class Graph>
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164 graph::bfs_visitor_event_not_overridden
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165 examine_vertex(Vertex u, Graph& g)
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166 {
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167 invoke_visitors(m_vis, u, g, ::boost::on_examine_vertex());
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168 return graph::bfs_visitor_event_not_overridden();
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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 graph::bfs_visitor_event_not_overridden
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173 examine_edge(Edge e, Graph& g)
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174 {
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175 invoke_visitors(m_vis, e, g, ::boost::on_examine_edge());
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176 return graph::bfs_visitor_event_not_overridden();
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177 }
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178
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179 template <class Edge, class Graph>
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180 graph::bfs_visitor_event_not_overridden
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181 tree_edge(Edge e, Graph& g)
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182 {
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183 invoke_visitors(m_vis, e, g, ::boost::on_tree_edge());
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184 return graph::bfs_visitor_event_not_overridden();
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185 }
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186
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187 template <class Edge, class Graph>
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188 graph::bfs_visitor_event_not_overridden
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189 non_tree_edge(Edge e, Graph& g)
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190 {
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191 invoke_visitors(m_vis, e, g, ::boost::on_non_tree_edge());
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192 return graph::bfs_visitor_event_not_overridden();
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193 }
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194
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195 template <class Edge, class Graph>
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196 graph::bfs_visitor_event_not_overridden
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197 gray_target(Edge e, Graph& g)
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198 {
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199 invoke_visitors(m_vis, e, g, ::boost::on_gray_target());
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200 return graph::bfs_visitor_event_not_overridden();
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201 }
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202
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203 template <class Edge, class Graph>
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204 graph::bfs_visitor_event_not_overridden
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205 black_target(Edge e, Graph& g)
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206 {
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207 invoke_visitors(m_vis, e, g, ::boost::on_black_target());
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208 return graph::bfs_visitor_event_not_overridden();
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209 }
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210
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211 template <class Vertex, class Graph>
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212 graph::bfs_visitor_event_not_overridden
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213 finish_vertex(Vertex u, Graph& g)
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214 {
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215 invoke_visitors(m_vis, u, g, ::boost::on_finish_vertex());
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216 return graph::bfs_visitor_event_not_overridden();
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217 }
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218
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219 BOOST_GRAPH_EVENT_STUB(on_initialize_vertex,bfs)
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220 BOOST_GRAPH_EVENT_STUB(on_discover_vertex,bfs)
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221 BOOST_GRAPH_EVENT_STUB(on_examine_vertex,bfs)
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222 BOOST_GRAPH_EVENT_STUB(on_examine_edge,bfs)
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223 BOOST_GRAPH_EVENT_STUB(on_tree_edge,bfs)
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224 BOOST_GRAPH_EVENT_STUB(on_non_tree_edge,bfs)
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225 BOOST_GRAPH_EVENT_STUB(on_gray_target,bfs)
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226 BOOST_GRAPH_EVENT_STUB(on_black_target,bfs)
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227 BOOST_GRAPH_EVENT_STUB(on_finish_vertex,bfs)
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228
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229 protected:
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230 Visitors m_vis;
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231 };
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232 template <class Visitors>
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233 bfs_visitor<Visitors>
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234 make_bfs_visitor(Visitors vis) {
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235 return bfs_visitor<Visitors>(vis);
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236 }
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237 typedef bfs_visitor<> default_bfs_visitor;
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238
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239
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240 namespace detail {
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241
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242 template <class VertexListGraph, class ColorMap, class BFSVisitor,
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243 class P, class T, class R>
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244 void bfs_helper
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245 (VertexListGraph& g,
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246 typename graph_traits<VertexListGraph>::vertex_descriptor s,
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247 ColorMap color,
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248 BFSVisitor vis,
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249 const bgl_named_params<P, T, R>& params,
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250 boost::mpl::false_)
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251 {
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252 typedef graph_traits<VertexListGraph> Traits;
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253 // Buffer default
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254 typedef typename Traits::vertex_descriptor Vertex;
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255 typedef boost::queue<Vertex> queue_t;
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256 queue_t Q;
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257 breadth_first_search
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258 (g, s,
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259 choose_param(get_param(params, buffer_param_t()), boost::ref(Q)).get(),
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260 vis, color);
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261 }
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262
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263 #ifdef BOOST_GRAPH_USE_MPI
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264 template <class DistributedGraph, class ColorMap, class BFSVisitor,
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265 class P, class T, class R>
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266 void bfs_helper
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267 (DistributedGraph& g,
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268 typename graph_traits<DistributedGraph>::vertex_descriptor s,
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269 ColorMap color,
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270 BFSVisitor vis,
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271 const bgl_named_params<P, T, R>& params,
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272 boost::mpl::true_);
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273 #endif // BOOST_GRAPH_USE_MPI
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274
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275 //-------------------------------------------------------------------------
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276 // Choose between default color and color parameters. Using
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277 // function dispatching so that we don't require vertex index if
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278 // the color default is not being used.
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279
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280 template <class ColorMap>
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281 struct bfs_dispatch {
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282 template <class VertexListGraph, class P, class T, class R>
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283 static void apply
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284 (VertexListGraph& g,
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285 typename graph_traits<VertexListGraph>::vertex_descriptor s,
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286 const bgl_named_params<P, T, R>& params,
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287 ColorMap color)
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288 {
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289 bfs_helper
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290 (g, s, color,
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291 choose_param(get_param(params, graph_visitor),
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292 make_bfs_visitor(null_visitor())),
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293 params,
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294 boost::mpl::bool_<
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295 boost::is_base_and_derived<
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296 distributed_graph_tag,
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297 typename graph_traits<VertexListGraph>::traversal_category>::value>());
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298 }
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299 };
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300
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301 template <>
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302 struct bfs_dispatch<param_not_found> {
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303 template <class VertexListGraph, class P, class T, class R>
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304 static void apply
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305 (VertexListGraph& g,
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306 typename graph_traits<VertexListGraph>::vertex_descriptor s,
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307 const bgl_named_params<P, T, R>& params,
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308 param_not_found)
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309 {
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310 null_visitor null_vis;
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311
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312 bfs_helper
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313 (g, s,
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314 make_two_bit_color_map
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315 (num_vertices(g),
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316 choose_const_pmap(get_param(params, vertex_index),
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317 g, vertex_index)),
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318 choose_param(get_param(params, graph_visitor),
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319 make_bfs_visitor(null_vis)),
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320 params,
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321 boost::mpl::bool_<
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322 boost::is_base_and_derived<
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323 distributed_graph_tag,
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324 typename graph_traits<VertexListGraph>::traversal_category>::value>());
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325 }
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326 };
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327
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328 } // namespace detail
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329
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330 #if 1
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331 // Named Parameter Variant
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332 template <class VertexListGraph, class P, class T, class R>
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333 void breadth_first_search
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334 (const VertexListGraph& g,
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335 typename graph_traits<VertexListGraph>::vertex_descriptor s,
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336 const bgl_named_params<P, T, R>& params)
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337 {
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338 // The graph is passed by *const* reference so that graph adaptors
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339 // (temporaries) can be passed into this function. However, the
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340 // graph is not really const since we may write to property maps
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341 // of the graph.
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342 VertexListGraph& ng = const_cast<VertexListGraph&>(g);
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343 typedef typename get_param_type< vertex_color_t, bgl_named_params<P,T,R> >::type C;
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344 detail::bfs_dispatch<C>::apply(ng, s, params,
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345 get_param(params, vertex_color));
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346 }
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347 #endif
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348
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349
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350 // This version does not initialize colors, user has to.
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351
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352 template <class IncidenceGraph, class P, class T, class R>
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353 void breadth_first_visit
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354 (const IncidenceGraph& g,
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355 typename graph_traits<IncidenceGraph>::vertex_descriptor s,
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356 const bgl_named_params<P, T, R>& params)
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357 {
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358 // The graph is passed by *const* reference so that graph adaptors
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359 // (temporaries) can be passed into this function. However, the
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360 // graph is not really const since we may write to property maps
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361 // of the graph.
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362 IncidenceGraph& ng = const_cast<IncidenceGraph&>(g);
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363
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364 typedef graph_traits<IncidenceGraph> Traits;
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365 // Buffer default
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366 typedef typename Traits::vertex_descriptor vertex_descriptor;
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367 typedef boost::queue<vertex_descriptor> queue_t;
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368 queue_t Q;
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369
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370 breadth_first_visit
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371 (ng, s,
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372 choose_param(get_param(params, buffer_param_t()), boost::ref(Q)).get(),
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373 choose_param(get_param(params, graph_visitor),
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374 make_bfs_visitor(null_visitor())),
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375 choose_pmap(get_param(params, vertex_color), ng, vertex_color)
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376 );
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377 }
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378
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379 namespace graph {
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380 namespace detail {
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381 template <typename Graph, typename Source>
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382 struct breadth_first_search_impl {
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383 typedef void result_type;
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384 template <typename ArgPack>
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385 void operator()(const Graph& g, const Source& source, const ArgPack& arg_pack) {
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386 using namespace boost::graph::keywords;
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387 typename boost::graph_traits<Graph>::vertex_descriptor sources[1] = {source};
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388 boost::queue<typename boost::graph_traits<Graph>::vertex_descriptor> Q;
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389 boost::breadth_first_search(g,
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390 &sources[0],
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391 &sources[1],
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392 boost::unwrap_ref(arg_pack[_buffer | boost::ref(Q)]),
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393 arg_pack[_visitor | make_bfs_visitor(null_visitor())],
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394 boost::detail::make_color_map_from_arg_pack(g, arg_pack));
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395 }
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396 };
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397 }
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398 BOOST_GRAPH_MAKE_FORWARDING_FUNCTION(breadth_first_search, 2, 4)
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399 }
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400
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401 #if 0
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402 // Named Parameter Variant
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403 BOOST_GRAPH_MAKE_OLD_STYLE_PARAMETER_FUNCTION(breadth_first_search, 2)
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404 #endif
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405
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406 } // namespace boost
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407
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408 #ifdef BOOST_GRAPH_USE_MPI
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409 # include <boost/graph/distributed/breadth_first_search.hpp>
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410 #endif
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411
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412 #endif // BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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413
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