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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_UTILITY_HPP
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12 #define BOOST_GRAPH_UTILITY_HPP
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13
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14 #include <stdlib.h>
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15 #include <iostream>
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16 #include <algorithm>
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17 #include <assert.h>
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18 #include <boost/config.hpp>
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19 #include <boost/tuple/tuple.hpp>
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20
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21 #if !defined BOOST_NO_SLIST
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22 # ifdef BOOST_SLIST_HEADER
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23 # include BOOST_SLIST_HEADER
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24 # else
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25 # include <slist>
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26 # endif
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27 #endif
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28
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29 #include <boost/graph/graph_traits.hpp>
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30 #include <boost/graph/properties.hpp>
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31 #include <boost/pending/container_traits.hpp>
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32 #include <boost/graph/depth_first_search.hpp>
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33 // iota moved to detail/algorithm.hpp
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34 #include <boost/detail/algorithm.hpp>
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35
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36 namespace boost {
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37
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38 // Provide an undirected graph interface alternative to the
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39 // the source() and target() edge functions.
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40 template <class UndirectedGraph>
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41 inline
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42 std::pair<typename graph_traits<UndirectedGraph>::vertex_descriptor,
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43 typename graph_traits<UndirectedGraph>::vertex_descriptor>
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44 incident(typename graph_traits<UndirectedGraph>::edge_descriptor e,
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45 UndirectedGraph& g)
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46 {
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47 return std::make_pair(source(e,g), target(e,g));
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48 }
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49
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50 // Provide an undirected graph interface alternative
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51 // to the out_edges() function.
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52 template <class Graph>
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53 inline
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54 std::pair<typename graph_traits<Graph>::out_edge_iterator,
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55 typename graph_traits<Graph>::out_edge_iterator>
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56 incident_edges(typename graph_traits<Graph>::vertex_descriptor u,
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57 Graph& g)
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58 {
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59 return out_edges(u, g);
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60 }
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61
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62 template <class Graph>
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63 inline typename graph_traits<Graph>::vertex_descriptor
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64 opposite(typename graph_traits<Graph>::edge_descriptor e,
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65 typename graph_traits<Graph>::vertex_descriptor v,
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66 const Graph& g)
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67 {
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68 typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
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69 if (v == source(e, g))
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70 return target(e, g);
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71 else if (v == target(e, g))
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72 return source(e, g);
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73 else
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74 return vertex_descriptor();
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75 }
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76
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77 //===========================================================================
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78 // Some handy predicates
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79
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80 template <typename Vertex, typename Graph>
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81 struct incident_from_predicate {
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82 incident_from_predicate(Vertex u, const Graph& g)
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83 : m_u(u), m_g(g) { }
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84 template <class Edge>
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85 bool operator()(const Edge& e) const {
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86 return source(e, m_g) == m_u;
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87 }
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88 Vertex m_u;
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89 const Graph& m_g;
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90 };
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91 template <typename Vertex, typename Graph>
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92 inline incident_from_predicate<Vertex, Graph>
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93 incident_from(Vertex u, const Graph& g) {
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94 return incident_from_predicate<Vertex, Graph>(u, g);
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95 }
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96
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97 template <typename Vertex, typename Graph>
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98 struct incident_to_predicate {
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99 incident_to_predicate(Vertex u, const Graph& g)
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100 : m_u(u), m_g(g) { }
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101 template <class Edge>
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102 bool operator()(const Edge& e) const {
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103 return target(e, m_g) == m_u;
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104 }
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105 Vertex m_u;
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106 const Graph& m_g;
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107 };
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108 template <typename Vertex, typename Graph>
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109 inline incident_to_predicate<Vertex, Graph>
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110 incident_to(Vertex u, const Graph& g) {
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111 return incident_to_predicate<Vertex, Graph>(u, 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 struct incident_on_predicate {
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116 incident_on_predicate(Vertex u, const Graph& g)
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117 : m_u(u), m_g(g) { }
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118 template <class Edge>
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119 bool operator()(const Edge& e) const {
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120 return source(e, m_g) == m_u || target(e, m_g) == m_u;
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121 }
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122 Vertex m_u;
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123 const Graph& m_g;
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124 };
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125 template <typename Vertex, typename Graph>
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126 inline incident_on_predicate<Vertex, Graph>
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127 incident_on(Vertex u, const Graph& g) {
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128 return incident_on_predicate<Vertex, Graph>(u, g);
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129 }
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130
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131 template <typename Vertex, typename Graph>
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132 struct connects_predicate {
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133 connects_predicate(Vertex u, Vertex v, const Graph& g)
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134 : m_u(u), m_v(v), m_g(g) { }
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135 template <class Edge>
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136 bool operator()(const Edge& e) const {
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137 if (is_directed(m_g))
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138 return source(e, m_g) == m_u && target(e, m_g) == m_v;
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139 else
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140 return (source(e, m_g) == m_u && target(e, m_g) == m_v)
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141 || (source(e, m_g) == m_v && target(e, m_g) == m_u);
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142 }
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143 Vertex m_u, m_v;
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144 const Graph& m_g;
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145 };
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146 template <typename Vertex, typename Graph>
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147 inline connects_predicate<Vertex, Graph>
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148 connects(Vertex u, Vertex v, const Graph& g) {
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149 return connects_predicate<Vertex, Graph>(u, v, g);
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150 }
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151
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152
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153 // Need to convert all of these printing functions to take an ostream object
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154 // -JGS
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155
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156 template <class IncidenceGraph, class Name>
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157 void print_in_edges(const IncidenceGraph& G, Name name)
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158 {
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159 typename graph_traits<IncidenceGraph>::vertex_iterator ui,ui_end;
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160 for (boost::tie(ui,ui_end) = vertices(G); ui != ui_end; ++ui) {
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161 std::cout << get(name,*ui) << " <-- ";
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162 typename graph_traits<IncidenceGraph>
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163 ::in_edge_iterator ei, ei_end;
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164 for(boost::tie(ei,ei_end) = in_edges(*ui,G); ei != ei_end; ++ei)
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165 std::cout << get(name,source(*ei,G)) << " ";
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166 std::cout << std::endl;
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167 }
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168 }
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169
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170 template <class IncidenceGraph, class Name>
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171 void print_graph_dispatch(const IncidenceGraph& G, Name name, directed_tag)
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172 {
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173 typename graph_traits<IncidenceGraph>::vertex_iterator ui,ui_end;
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174 for (boost::tie(ui,ui_end) = vertices(G); ui != ui_end; ++ui) {
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175 std::cout << get(name,*ui) << " --> ";
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176 typename graph_traits<IncidenceGraph>
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177 ::out_edge_iterator ei, ei_end;
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178 for(boost::tie(ei,ei_end) = out_edges(*ui,G); ei != ei_end; ++ei)
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179 std::cout << get(name,target(*ei,G)) << " ";
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180 std::cout << std::endl;
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181 }
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182 }
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183 template <class IncidenceGraph, class Name>
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184 void print_graph_dispatch(const IncidenceGraph& G, Name name, undirected_tag)
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185 {
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186 typename graph_traits<IncidenceGraph>::vertex_iterator ui,ui_end;
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187 for (boost::tie(ui,ui_end) = vertices(G); ui != ui_end; ++ui) {
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188 std::cout << get(name,*ui) << " <--> ";
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189 typename graph_traits<IncidenceGraph>
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190 ::out_edge_iterator ei, ei_end;
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191 for(boost::tie(ei,ei_end) = out_edges(*ui,G); ei != ei_end; ++ei)
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192 std::cout << get(name,target(*ei,G)) << " ";
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193 std::cout << std::endl;
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194 }
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195 }
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196 template <class IncidenceGraph, class Name>
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197 void print_graph(const IncidenceGraph& G, Name name)
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198 {
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199 typedef typename graph_traits<IncidenceGraph>
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200 ::directed_category Cat;
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201 print_graph_dispatch(G, name, Cat());
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202 }
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203 template <class IncidenceGraph>
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204 void print_graph(const IncidenceGraph& G) {
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205 print_graph(G, get(vertex_index, G));
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206 }
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207
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208 template <class EdgeListGraph, class Name>
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209 void print_edges(const EdgeListGraph& G, Name name)
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210 {
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211 typename graph_traits<EdgeListGraph>::edge_iterator ei, ei_end;
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212 for (boost::tie(ei, ei_end) = edges(G); ei != ei_end; ++ei)
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213 std::cout << "(" << get(name, source(*ei, G))
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214 << "," << get(name, target(*ei, G)) << ") ";
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215 std::cout << std::endl;
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216 }
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217
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218 template <class EdgeListGraph, class VertexName, class EdgeName>
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219 void print_edges2(const EdgeListGraph& G, VertexName vname, EdgeName ename)
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220 {
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221 typename graph_traits<EdgeListGraph>::edge_iterator ei, ei_end;
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222 for (boost::tie(ei, ei_end) = edges(G); ei != ei_end; ++ei)
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223 std::cout << get(ename, *ei) << "(" << get(vname, source(*ei, G))
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224 << "," << get(vname, target(*ei, G)) << ") ";
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225 std::cout << std::endl;
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226 }
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227
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228 template <class VertexListGraph, class Name>
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229 void print_vertices(const VertexListGraph& G, Name name)
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230 {
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231 typename graph_traits<VertexListGraph>::vertex_iterator vi,vi_end;
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232 for (boost::tie(vi,vi_end) = vertices(G); vi != vi_end; ++vi)
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233 std::cout << get(name,*vi) << " ";
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234 std::cout << std::endl;
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235 }
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236
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237 template <class Graph, class Vertex>
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238 bool is_adj_dispatch(Graph& g, Vertex a, Vertex b, bidirectional_tag)
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239 {
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240 typename graph_traits<Graph>::adjacency_iterator vi, viend,
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241 adj_found;
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242 boost::tie(vi, viend) = adjacent_vertices(a, g);
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243 adj_found = std::find(vi, viend, b);
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244 if (adj_found == viend)
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245 return false;
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246
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247 typename graph_traits<Graph>::out_edge_iterator oi, oiend,
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248 out_found;
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249 boost::tie(oi, oiend) = out_edges(a, g);
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250 out_found = std::find_if(oi, oiend, incident_to(b, g));
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251 if (out_found == oiend)
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252 return false;
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253
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254 typename graph_traits<Graph>::in_edge_iterator ii, iiend,
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255 in_found;
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256 boost::tie(ii, iiend) = in_edges(b, g);
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257 in_found = std::find_if(ii, iiend, incident_from(a, g));
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258 if (in_found == iiend)
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259 return false;
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260
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261 return true;
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262 }
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263 template <class Graph, class Vertex>
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264 bool is_adj_dispatch(Graph& g, Vertex a, Vertex b, directed_tag)
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265 {
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266 typename graph_traits<Graph>::adjacency_iterator vi, viend, found;
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267 boost::tie(vi, viend) = adjacent_vertices(a, g);
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268 #if defined(BOOST_MSVC) && BOOST_MSVC <= 1300 && defined(__SGI_STL_PORT)
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269 // Getting internal compiler error with std::find()
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270 found = viend;
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271 for (; vi != viend; ++vi)
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272 if (*vi == b) {
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273 found = vi;
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274 break;
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275 }
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276 #else
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277 found = std::find(vi, viend, b);
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278 #endif
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279 if ( found == viend )
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280 return false;
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281
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282 typename graph_traits<Graph>::out_edge_iterator oi, oiend,
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283 out_found;
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284 boost::tie(oi, oiend) = out_edges(a, g);
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285
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286 #if defined(BOOST_MSVC) && BOOST_MSVC <= 1300 && defined(__SGI_STL_PORT)
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287 // Getting internal compiler error with std::find()
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288 out_found = oiend;
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289 for (; oi != oiend; ++oi)
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290 if (target(*oi, g) == b) {
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291 out_found = oi;
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292 break;
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293 }
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294 #else
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295 out_found = std::find_if(oi, oiend, incident_to(b, g));
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296 #endif
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297 if (out_found == oiend)
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298 return false;
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299 return true;
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300 }
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301 template <class Graph, class Vertex>
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302 bool is_adj_dispatch(Graph& g, Vertex a, Vertex b, undirected_tag)
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303 {
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304 return is_adj_dispatch(g, a, b, directed_tag());
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305 }
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306
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307 template <class Graph, class Vertex>
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308 bool is_adjacent(Graph& g, Vertex a, Vertex b) {
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309 typedef typename graph_traits<Graph>::directed_category Cat;
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310 return is_adj_dispatch(g, a, b, Cat());
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311 }
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312
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313 template <class Graph, class Edge>
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314 bool in_edge_set(Graph& g, Edge e)
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315 {
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316 typename Graph::edge_iterator ei, ei_end, found;
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317 boost::tie(ei, ei_end) = edges(g);
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318 found = std::find(ei, ei_end, e);
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319 return found != ei_end;
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320 }
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321
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322 template <class Graph, class Vertex>
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323 bool in_vertex_set(Graph& g, Vertex v)
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324 {
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325 typename Graph::vertex_iterator vi, vi_end, found;
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326 boost::tie(vi, vi_end) = vertices(g);
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327 found = std::find(vi, vi_end, v);
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328 return found != vi_end;
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329 }
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330
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331 template <class Graph, class Vertex>
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332 bool in_edge_set(Graph& g, Vertex u, Vertex v)
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333 {
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334 typename Graph::edge_iterator ei, ei_end;
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335 for (boost::tie(ei,ei_end) = edges(g); ei != ei_end; ++ei)
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336 if (source(*ei,g) == u && target(*ei,g) == v)
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337 return true;
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338 return false;
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339 }
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340
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341 // is x a descendant of y?
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342 template <typename ParentMap>
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343 inline bool is_descendant
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344 (typename property_traits<ParentMap>::value_type x,
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345 typename property_traits<ParentMap>::value_type y,
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346 ParentMap parent)
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347 {
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348 if (get(parent, x) == x) // x is the root of the tree
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349 return false;
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350 else if (get(parent, x) == y)
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351 return true;
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352 else
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353 return is_descendant(get(parent, x), y, parent);
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354 }
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355
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356 // is y reachable from x?
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357 template <typename IncidenceGraph, typename VertexColorMap>
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358 inline bool is_reachable
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359 (typename graph_traits<IncidenceGraph>::vertex_descriptor x,
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360 typename graph_traits<IncidenceGraph>::vertex_descriptor y,
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361 const IncidenceGraph& g,
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362 VertexColorMap color) // should start out white for every vertex
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363 {
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364 typedef typename property_traits<VertexColorMap>::value_type ColorValue;
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365 dfs_visitor<> vis;
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366 depth_first_visit(g, x, vis, color);
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367 return get(color, y) != color_traits<ColorValue>::white();
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368 }
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369
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370 // Is the undirected graph connected?
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371 // Is the directed graph strongly connected?
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372 template <typename VertexListGraph, typename VertexColorMap>
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373 inline bool is_connected(const VertexListGraph& g, VertexColorMap color)
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374 {
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375 typedef typename property_traits<VertexColorMap>::value_type ColorValue;
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376 typedef color_traits<ColorValue> Color;
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377 typename graph_traits<VertexListGraph>::vertex_iterator
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378 ui, ui_end, vi, vi_end, ci, ci_end;
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379 for (boost::tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui)
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380 for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi)
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381 if (*ui != *vi) {
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382 for (boost::tie(ci, ci_end) = vertices(g); ci != ci_end; ++ci)
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383 put(color, *ci, Color::white());
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384 if (! is_reachable(*ui, *vi, g, color))
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385 return false;
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386 }
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387 return true;
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388 }
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389
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390 template <typename Graph>
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391 bool is_self_loop
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392 (typename graph_traits<Graph>::edge_descriptor e,
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393 const Graph& g)
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394 {
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395 return source(e, g) == target(e, g);
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396 }
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397
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398
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399 template <class T1, class T2>
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400 std::pair<T1,T2>
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401 make_list(const T1& t1, const T2& t2)
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402 { return std::make_pair(t1, t2); }
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403
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404 template <class T1, class T2, class T3>
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405 std::pair<T1,std::pair<T2,T3> >
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406 make_list(const T1& t1, const T2& t2, const T3& t3)
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407 { return std::make_pair(t1, std::make_pair(t2, t3)); }
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408
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409 template <class T1, class T2, class T3, class T4>
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410 std::pair<T1,std::pair<T2,std::pair<T3,T4> > >
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411 make_list(const T1& t1, const T2& t2, const T3& t3, const T4& t4)
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412 { return std::make_pair(t1, std::make_pair(t2, std::make_pair(t3, t4))); }
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413
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414 template <class T1, class T2, class T3, class T4, class T5>
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415 std::pair<T1,std::pair<T2,std::pair<T3,std::pair<T4,T5> > > >
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416 make_list(const T1& t1, const T2& t2, const T3& t3, const T4& t4, const T5& t5)
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417 { return std::make_pair(t1, std::make_pair(t2, std::make_pair(t3, std::make_pair(t4, t5)))); }
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418
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419 namespace graph {
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420
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421 // Functor for remove_parallel_edges: edge property of the removed edge is added to the remaining
|
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422 template <typename EdgeProperty>
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423 struct add_removed_edge_property
|
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424 {
|
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425 add_removed_edge_property(EdgeProperty ep) : ep(ep) {}
|
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426
|
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427 template <typename Edge>
|
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428 void operator() (Edge stay, Edge away)
|
Chris@16
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429 {
|
Chris@16
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430 put(ep, stay, get(ep, stay) + get(ep, away));
|
Chris@16
|
431 }
|
Chris@16
|
432 EdgeProperty ep;
|
Chris@16
|
433 };
|
Chris@16
|
434
|
Chris@16
|
435 // Same as above: edge property is capacity here
|
Chris@16
|
436 template <typename Graph>
|
Chris@16
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437 struct add_removed_edge_capacity
|
Chris@16
|
438 : add_removed_edge_property<typename property_map<Graph, edge_capacity_t>::type>
|
Chris@16
|
439 {
|
Chris@16
|
440 typedef add_removed_edge_property<typename property_map<Graph, edge_capacity_t>::type> base;
|
Chris@16
|
441 add_removed_edge_capacity(Graph& g) : base(get(edge_capacity, g)) {}
|
Chris@16
|
442 };
|
Chris@16
|
443
|
Chris@16
|
444 template <typename Graph>
|
Chris@16
|
445 bool has_no_vertices(const Graph& g) {
|
Chris@16
|
446 typedef typename boost::graph_traits<Graph>::vertex_iterator vi;
|
Chris@16
|
447 std::pair<vi, vi> p = vertices(g);
|
Chris@16
|
448 return (p.first == p.second);
|
Chris@16
|
449 }
|
Chris@16
|
450
|
Chris@16
|
451 template <typename Graph>
|
Chris@16
|
452 bool has_no_edges(const Graph& g) {
|
Chris@16
|
453 typedef typename boost::graph_traits<Graph>::edge_iterator ei;
|
Chris@16
|
454 std::pair<ei, ei> p = edges(g);
|
Chris@16
|
455 return (p.first == p.second);
|
Chris@16
|
456 }
|
Chris@16
|
457
|
Chris@16
|
458 template <typename Graph>
|
Chris@16
|
459 bool has_no_out_edges(const typename boost::graph_traits<Graph>::vertex_descriptor& v, const Graph& g) {
|
Chris@16
|
460 typedef typename boost::graph_traits<Graph>::out_edge_iterator ei;
|
Chris@16
|
461 std::pair<ei, ei> p = out_edges(v, g);
|
Chris@16
|
462 return (p.first == p.second);
|
Chris@16
|
463 }
|
Chris@16
|
464
|
Chris@16
|
465 } // namespace graph
|
Chris@16
|
466
|
Chris@16
|
467 #include <boost/graph/iteration_macros.hpp>
|
Chris@16
|
468
|
Chris@16
|
469 template <class PropertyIn, class PropertyOut, class Graph>
|
Chris@16
|
470 void copy_vertex_property(PropertyIn p_in, PropertyOut p_out, Graph& g)
|
Chris@16
|
471 {
|
Chris@16
|
472 BGL_FORALL_VERTICES_T(u, g, Graph)
|
Chris@16
|
473 put(p_out, u, get(p_in, g));
|
Chris@16
|
474 }
|
Chris@16
|
475
|
Chris@16
|
476 template <class PropertyIn, class PropertyOut, class Graph>
|
Chris@16
|
477 void copy_edge_property(PropertyIn p_in, PropertyOut p_out, Graph& g)
|
Chris@16
|
478 {
|
Chris@16
|
479 BGL_FORALL_EDGES_T(e, g, Graph)
|
Chris@16
|
480 put(p_out, e, get(p_in, g));
|
Chris@16
|
481 }
|
Chris@16
|
482
|
Chris@16
|
483 // Return true if property_map1 and property_map2 differ
|
Chris@16
|
484 // for any of the vertices in graph.
|
Chris@16
|
485 template <typename PropertyMapFirst,
|
Chris@16
|
486 typename PropertyMapSecond,
|
Chris@16
|
487 typename Graph>
|
Chris@16
|
488 bool are_property_maps_different
|
Chris@16
|
489 (const PropertyMapFirst property_map1,
|
Chris@16
|
490 const PropertyMapSecond property_map2,
|
Chris@16
|
491 const Graph& graph) {
|
Chris@16
|
492
|
Chris@16
|
493 BGL_FORALL_VERTICES_T(vertex, graph, Graph) {
|
Chris@16
|
494 if (get(property_map1, vertex) !=
|
Chris@16
|
495 get(property_map2, vertex)) {
|
Chris@16
|
496
|
Chris@16
|
497 return (true);
|
Chris@16
|
498 }
|
Chris@16
|
499 }
|
Chris@16
|
500
|
Chris@16
|
501 return (false);
|
Chris@16
|
502 }
|
Chris@16
|
503
|
Chris@16
|
504 } /* namespace boost */
|
Chris@16
|
505
|
Chris@16
|
506 #endif /* BOOST_GRAPH_UTILITY_HPP*/
|