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1 // Copyright (c) Jeremy Siek 2001
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2 // Copyright (c) Douglas Gregor 2004
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3 //
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4 // Distributed under the Boost Software License, Version 1.0. (See
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5 // accompanying file LICENSE_1_0.txt or copy at
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6 // http://www.boost.org/LICENSE_1_0.txt)
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7
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8 // NOTE: this final is generated by libs/graph/doc/biconnected_components.w
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9
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10 #ifndef BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP
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11 #define BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP
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12
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13 #include <stack>
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14 #include <vector>
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15 #include <algorithm> // for std::min and std::max
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16 #include <boost/config.hpp>
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17 #include <boost/limits.hpp>
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18 #include <boost/graph/graph_traits.hpp>
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19 #include <boost/graph/graph_concepts.hpp>
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20 #include <boost/property_map/property_map.hpp>
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21 #include <boost/graph/depth_first_search.hpp>
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22 #include <boost/graph/graph_utility.hpp>
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23 #include <boost/concept/assert.hpp>
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24 #include <boost/assert.hpp>
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25
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26 namespace boost
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27 {
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28 namespace detail
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29 {
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30 template<typename ComponentMap, typename DiscoverTimeMap,
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31 typename LowPointMap, typename PredecessorMap,
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32 typename OutputIterator, typename Stack,
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33 typename ArticulationVector, typename IndexMap,
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34 typename DFSVisitor>
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35 struct biconnected_components_visitor : public dfs_visitor<>
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36 {
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37 biconnected_components_visitor
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38 (ComponentMap comp, std::size_t& c,
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39 std::size_t& children_of_root, DiscoverTimeMap dtm,
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40 std::size_t& dfs_time, LowPointMap lowpt, PredecessorMap pred,
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41 OutputIterator out, Stack& S,
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42 ArticulationVector& is_articulation_point, IndexMap index_map,
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43 DFSVisitor vis)
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44 : comp(comp), c(c), children_of_root(children_of_root),
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45 dtm(dtm), dfs_time(dfs_time), lowpt(lowpt),
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46 pred(pred), out(out), S(S),
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47 is_articulation_point(is_articulation_point),
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48 index_map(index_map), vis(vis) { }
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49
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50 template <typename Vertex, typename Graph>
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51 void initialize_vertex(const Vertex& u, Graph& g)
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52 {
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53 put(pred, u, u);
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54 vis.initialize_vertex(u, g);
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55 }
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56
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57 template <typename Vertex, typename Graph>
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58 void start_vertex(const Vertex& u, Graph& g)
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59 {
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60 children_of_root = 0;
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61 vis.start_vertex(u, g);
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62 }
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63
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64 template <typename Vertex, typename Graph>
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65 void discover_vertex(const Vertex& u, Graph& g)
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66 {
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67 put(dtm, u, ++dfs_time);
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68 put(lowpt, u, get(dtm, u));
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69 vis.discover_vertex(u, g);
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70 }
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71
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72 template <typename Edge, typename Graph>
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73 void examine_edge(const Edge& e, Graph& g)
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74 {
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75 vis.examine_edge(e, g);
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76 }
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77
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78 template <typename Edge, typename Graph>
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79 void tree_edge(const Edge& e, Graph& g)
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80 {
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81 typename boost::graph_traits<Graph>::vertex_descriptor src = source(e, g);
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82 typename boost::graph_traits<Graph>::vertex_descriptor tgt = target(e, g);
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83
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84 S.push(e);
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85 put(pred, tgt, src);
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86 if ( get(pred, src) == src ) {
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87 ++children_of_root;
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88 }
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89 vis.tree_edge(e, g);
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90 }
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91
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92 template <typename Edge, typename Graph>
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93 void back_edge(const Edge& e, Graph& g)
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94 {
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95 BOOST_USING_STD_MIN();
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96
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97 typename boost::graph_traits<Graph>::vertex_descriptor src = source(e, g);
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98 typename boost::graph_traits<Graph>::vertex_descriptor tgt = target(e, g);
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99 if ( tgt != get(pred, src) ) {
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100 S.push(e);
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101 put(lowpt, src,
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102 min BOOST_PREVENT_MACRO_SUBSTITUTION(get(lowpt, src),
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103 get(dtm, tgt)));
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104 }
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105 vis.back_edge(e, g);
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106 }
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107
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108 template <typename Edge, typename Graph>
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109 void forward_or_cross_edge(const Edge& e, Graph& g)
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110 {
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111 vis.forward_or_cross_edge(e, g);
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112 }
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113
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114 template <typename Vertex, typename Graph>
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115 void finish_vertex(const Vertex& u, Graph& g)
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116 {
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117 BOOST_USING_STD_MIN();
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118 Vertex parent = get(pred, u);
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119 if (parent == u) { // Root of tree is special
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120 is_articulation_point[get(index_map, u)] = (children_of_root > 1);
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121 } else {
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122 put(lowpt, parent,
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123 min BOOST_PREVENT_MACRO_SUBSTITUTION(get(lowpt, parent),
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124 get(lowpt, u)));
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125 if ( get(lowpt, u) >= get(dtm, parent) ) {
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126 is_articulation_point[get(index_map, parent)] = true;
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127 while ( get(dtm, source(S.top(), g)) >= get(dtm, u) ) {
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128 put(comp, S.top(), c);
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129 S.pop();
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130 }
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131 BOOST_ASSERT (source(S.top(), g) == parent);
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132 BOOST_ASSERT (target(S.top(), g) == u);
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133 put(comp, S.top(), c);
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134 S.pop();
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135 ++c;
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136 }
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137 }
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138 if ( is_articulation_point[get(index_map, u)] ) {
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139 *out++ = u;
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140 }
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141 vis.finish_vertex(u, g);
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142 }
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143
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144 ComponentMap comp;
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145 std::size_t& c;
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146 std::size_t& children_of_root;
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147 DiscoverTimeMap dtm;
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148 std::size_t& dfs_time;
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149 LowPointMap lowpt;
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150 PredecessorMap pred;
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151 OutputIterator out;
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152 Stack& S;
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153 ArticulationVector& is_articulation_point;
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154 IndexMap index_map;
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155 DFSVisitor vis;
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156 };
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157
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158 template<typename Graph, typename ComponentMap, typename OutputIterator,
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159 typename VertexIndexMap, typename DiscoverTimeMap, typename LowPointMap,
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160 typename PredecessorMap, typename DFSVisitor>
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161 std::pair<std::size_t, OutputIterator>
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162 biconnected_components_impl(const Graph & g, ComponentMap comp,
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163 OutputIterator out, VertexIndexMap index_map, DiscoverTimeMap dtm,
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164 LowPointMap lowpt, PredecessorMap pred, DFSVisitor dfs_vis)
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165 {
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166 typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
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167 typedef typename graph_traits<Graph>::edge_descriptor edge_t;
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168 BOOST_CONCEPT_ASSERT(( VertexListGraphConcept<Graph> ));
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169 BOOST_CONCEPT_ASSERT(( IncidenceGraphConcept<Graph> ));
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170 BOOST_CONCEPT_ASSERT(( WritablePropertyMapConcept<ComponentMap, edge_t> ));
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171 BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<DiscoverTimeMap,
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172 vertex_t> ));
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173 BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<LowPointMap, vertex_t > ));
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174 BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<PredecessorMap,
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175 vertex_t> ));
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176
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177 std::size_t num_components = 0;
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178 std::size_t children_of_root;
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179 std::size_t dfs_time = 0;
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180 std::stack<edge_t> S;
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181 std::vector<char> is_articulation_point(num_vertices(g));
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182
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183 biconnected_components_visitor<ComponentMap, DiscoverTimeMap,
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184 LowPointMap, PredecessorMap, OutputIterator, std::stack<edge_t>,
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185 std::vector<char>, VertexIndexMap, DFSVisitor>
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186 vis(comp, num_components, children_of_root, dtm, dfs_time,
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187 lowpt, pred, out, S, is_articulation_point, index_map, dfs_vis);
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188
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189 depth_first_search(g, visitor(vis).vertex_index_map(index_map));
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190
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191 return std::pair<std::size_t, OutputIterator>(num_components, vis.out);
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192 }
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193
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194 template <typename PredecessorMap>
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195 struct bicomp_dispatch3
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196 {
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197 template<typename Graph, typename ComponentMap, typename OutputIterator,
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198 typename VertexIndexMap, typename DiscoverTimeMap,
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199 typename LowPointMap, class P, class T, class R>
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200 static std::pair<std::size_t, OutputIterator> apply (const Graph & g,
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201 ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
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202 DiscoverTimeMap dtm, LowPointMap lowpt,
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203 const bgl_named_params<P, T, R>& params, PredecessorMap pred)
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204 {
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205 return biconnected_components_impl
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206 (g, comp, out, index_map, dtm, lowpt, pred,
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207 choose_param(get_param(params, graph_visitor),
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208 make_dfs_visitor(null_visitor())));
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209 }
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210 };
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211
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212 template <>
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213 struct bicomp_dispatch3<param_not_found>
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214 {
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215 template<typename Graph, typename ComponentMap, typename OutputIterator,
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216 typename VertexIndexMap, typename DiscoverTimeMap,
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217 typename LowPointMap, class P, class T, class R>
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218 static std::pair<std::size_t, OutputIterator> apply (const Graph & g,
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219 ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
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220 DiscoverTimeMap dtm, LowPointMap lowpt,
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221 const bgl_named_params<P, T, R>& params,
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222 param_not_found)
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223 {
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224 typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
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225 std::vector<vertex_t> pred(num_vertices(g));
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226 vertex_t vert = graph_traits<Graph>::null_vertex();
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227
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228 return biconnected_components_impl
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229 (g, comp, out, index_map, dtm, lowpt,
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230 make_iterator_property_map(pred.begin(), index_map, vert),
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231 choose_param(get_param(params, graph_visitor),
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232 make_dfs_visitor(null_visitor())));
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233 }
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234 };
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235
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236 template <typename LowPointMap>
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237 struct bicomp_dispatch2
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238 {
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239 template<typename Graph, typename ComponentMap, typename OutputIterator,
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240 typename VertexIndexMap, typename DiscoverTimeMap,
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241 typename P, typename T, typename R>
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242 static std::pair<std::size_t, OutputIterator> apply (const Graph& g,
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243 ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
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244 DiscoverTimeMap dtm, const bgl_named_params<P, T, R>& params,
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245 LowPointMap lowpt)
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246 {
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247 typedef typename get_param_type< vertex_predecessor_t, bgl_named_params<P,T,R> >::type dispatch_type;
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248
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249 return bicomp_dispatch3<dispatch_type>::apply
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250 (g, comp, out, index_map, dtm, lowpt, params,
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251 get_param(params, vertex_predecessor));
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252 }
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253 };
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254
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255
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256 template <>
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257 struct bicomp_dispatch2<param_not_found>
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258 {
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259 template<typename Graph, typename ComponentMap, typename OutputIterator,
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260 typename VertexIndexMap, typename DiscoverTimeMap,
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261 typename P, typename T, typename R>
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262 static std::pair<std::size_t, OutputIterator> apply (const Graph& g,
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263 ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
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264 DiscoverTimeMap dtm, const bgl_named_params<P, T, R>& params,
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265 param_not_found)
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266 {
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267 typedef typename graph_traits<Graph>::vertices_size_type
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268 vertices_size_type;
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269 std::vector<vertices_size_type> lowpt(num_vertices(g));
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270 vertices_size_type vst(0);
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271
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272 typedef typename get_param_type< vertex_predecessor_t, bgl_named_params<P,T,R> >::type dispatch_type;
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273
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274 return bicomp_dispatch3<dispatch_type>::apply
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275 (g, comp, out, index_map, dtm,
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276 make_iterator_property_map(lowpt.begin(), index_map, vst),
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277 params, get_param(params, vertex_predecessor));
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278 }
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279 };
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280
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281 template <typename DiscoverTimeMap>
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282 struct bicomp_dispatch1
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283 {
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284 template<typename Graph, typename ComponentMap, typename OutputIterator,
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285 typename VertexIndexMap, class P, class T, class R>
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286 static std::pair<std::size_t, OutputIterator> apply(const Graph& g,
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287 ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
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288 const bgl_named_params<P, T, R>& params, DiscoverTimeMap dtm)
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289 {
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290 typedef typename get_param_type< vertex_lowpoint_t, bgl_named_params<P,T,R> >::type dispatch_type;
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291
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292 return bicomp_dispatch2<dispatch_type>::apply
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293 (g, comp, out, index_map, dtm, params,
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294 get_param(params, vertex_lowpoint));
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295 }
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296 };
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297
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298 template <>
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299 struct bicomp_dispatch1<param_not_found>
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300 {
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301 template<typename Graph, typename ComponentMap, typename OutputIterator,
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302 typename VertexIndexMap, class P, class T, class R>
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303 static std::pair<std::size_t, OutputIterator> apply(const Graph& g,
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304 ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
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305 const bgl_named_params<P, T, R>& params, param_not_found)
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306 {
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307 typedef typename graph_traits<Graph>::vertices_size_type
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308 vertices_size_type;
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309 std::vector<vertices_size_type> discover_time(num_vertices(g));
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310 vertices_size_type vst(0);
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311
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312 typedef typename get_param_type< vertex_lowpoint_t, bgl_named_params<P,T,R> >::type dispatch_type;
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313
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314 return bicomp_dispatch2<dispatch_type>::apply
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315 (g, comp, out, index_map,
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316 make_iterator_property_map(discover_time.begin(), index_map, vst),
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317 params, get_param(params, vertex_lowpoint));
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318 }
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319 };
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320
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321 }
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322
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323 template<typename Graph, typename ComponentMap, typename OutputIterator,
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324 typename DiscoverTimeMap, typename LowPointMap>
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325 std::pair<std::size_t, OutputIterator>
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326 biconnected_components(const Graph& g, ComponentMap comp,
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327 OutputIterator out, DiscoverTimeMap dtm, LowPointMap lowpt)
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328 {
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329 typedef param_not_found dispatch_type;
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330
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331 return detail::bicomp_dispatch3<dispatch_type>::apply
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332 (g, comp, out,
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333 get(vertex_index, g),
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334 dtm, lowpt,
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335 bgl_named_params<int, buffer_param_t>(0),
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336 param_not_found());
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337 }
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338
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339 template <typename Graph, typename ComponentMap, typename OutputIterator,
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340 typename P, typename T, typename R>
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341 std::pair<std::size_t, OutputIterator>
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342 biconnected_components(const Graph& g, ComponentMap comp, OutputIterator out,
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343 const bgl_named_params<P, T, R>& params)
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344 {
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345 typedef typename get_param_type< vertex_discover_time_t, bgl_named_params<P,T,R> >::type dispatch_type;
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346
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347 return detail::bicomp_dispatch1<dispatch_type>::apply(g, comp, out,
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348 choose_const_pmap(get_param(params, vertex_index), g, vertex_index),
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349 params, get_param(params, vertex_discover_time));
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350 }
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351
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352 template < typename Graph, typename ComponentMap, typename OutputIterator>
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353 std::pair<std::size_t, OutputIterator>
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354 biconnected_components(const Graph& g, ComponentMap comp, OutputIterator out)
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355 {
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356 return biconnected_components(g, comp, out,
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357 bgl_named_params<int, buffer_param_t>(0));
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358 }
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359
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360 namespace graph_detail {
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361 struct dummy_output_iterator
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362 {
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363 typedef std::output_iterator_tag iterator_category;
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364 typedef void value_type;
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365 typedef void pointer;
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366 typedef void difference_type;
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367
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368 struct reference {
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369 template<typename T>
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370 reference& operator=(const T&) { return *this; }
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371 };
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372
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373 reference operator*() const { return reference(); }
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374 dummy_output_iterator& operator++() { return *this; }
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375 dummy_output_iterator operator++(int) { return *this; }
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376 };
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377 } // end namespace graph_detail
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378
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379 template <typename Graph, typename ComponentMap,
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380 typename P, typename T, typename R>
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381 std::size_t
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382 biconnected_components(const Graph& g, ComponentMap comp,
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383 const bgl_named_params<P, T, R>& params)
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384 {
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385 return biconnected_components(g, comp,
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386 graph_detail::dummy_output_iterator(), params).first;
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387 }
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388
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389 template <typename Graph, typename ComponentMap>
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390 std::size_t
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391 biconnected_components(const Graph& g, ComponentMap comp)
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392 {
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393 return biconnected_components(g, comp,
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394 graph_detail::dummy_output_iterator()).first;
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395 }
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396
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397 template<typename Graph, typename OutputIterator,
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398 typename P, typename T, typename R>
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399 OutputIterator
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400 articulation_points(const Graph& g, OutputIterator out,
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401 const bgl_named_params<P, T, R>& params)
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402 {
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403 return biconnected_components(g, dummy_property_map(), out,
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404 params).second;
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405 }
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406
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407 template<typename Graph, typename OutputIterator>
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408 OutputIterator
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409 articulation_points(const Graph& g, OutputIterator out)
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410 {
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411 return biconnected_components(g, dummy_property_map(), out,
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412 bgl_named_params<int, buffer_param_t>(0)).second;
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413 }
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414
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415 } // namespace boost
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416
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417 #endif /* BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP */
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