1 | //======================================================================= |
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2 | // Copyright 2001 University of Notre Dame. |
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3 | // Author: Jeremy G. Siek |
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4 | // |
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5 | // Distributed under the Boost Software License, Version 1.0. (See |
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6 | // accompanying file LICENSE_1_0.txt or copy at |
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7 | // http://www.boost.org/LICENSE_1_0.txt) |
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8 | //======================================================================= |
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9 | |
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10 | #include <boost/config.hpp> |
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11 | #include <boost/test/minimal.hpp> |
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12 | #include <stdlib.h> |
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13 | |
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14 | #include <boost/graph/depth_first_search.hpp> |
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15 | #include <boost/graph/adjacency_list.hpp> |
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16 | #include <boost/graph/graph_archetypes.hpp> |
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17 | #include <boost/graph/graph_utility.hpp> |
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18 | #include <boost/graph/random.hpp> |
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19 | |
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20 | #include <boost/random/mersenne_twister.hpp> |
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21 | |
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22 | template <typename ColorMap, typename ParentMap, |
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23 | typename DiscoverTimeMap, typename FinishTimeMap> |
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24 | class dfs_test_visitor { |
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25 | typedef typename boost::property_traits<ColorMap>::value_type ColorValue; |
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26 | typedef typename boost::color_traits<ColorValue> Color; |
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27 | public: |
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28 | dfs_test_visitor(ColorMap color, ParentMap p, DiscoverTimeMap d, |
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29 | FinishTimeMap f) |
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30 | : m_color(color), m_parent(p), |
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31 | m_discover_time(d), m_finish_time(f), m_time(0) { } |
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32 | |
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33 | template <class Vertex, class Graph> |
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34 | void initialize_vertex(Vertex u, Graph& g) { |
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35 | BOOST_CHECK( boost::get(m_color, u) == Color::white() ); |
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36 | } |
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37 | template <class Vertex, class Graph> |
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38 | void start_vertex(Vertex u, Graph& g) { |
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39 | BOOST_CHECK( boost::get(m_color, u) == Color::white() ); |
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40 | } |
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41 | template <class Vertex, class Graph> |
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42 | void discover_vertex(Vertex u, Graph& g) { |
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43 | using namespace boost; |
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44 | BOOST_CHECK( get(m_color, u) == Color::gray() ); |
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45 | BOOST_CHECK( get(m_color, get(m_parent, u)) == Color::gray() ); |
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46 | |
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47 | put(m_discover_time, u, m_time++); |
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48 | } |
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49 | template <class Edge, class Graph> |
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50 | void examine_edge(Edge e, Graph& g) { |
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51 | using namespace boost; |
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52 | BOOST_CHECK( get(m_color, source(e, g)) == Color::gray() ); |
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53 | } |
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54 | template <class Edge, class Graph> |
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55 | void tree_edge(Edge e, Graph& g) { |
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56 | using namespace boost; |
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57 | BOOST_CHECK( get(m_color, target(e, g)) == Color::white() ); |
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58 | |
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59 | put(m_parent, target(e, g), source(e, g)); |
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60 | } |
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61 | template <class Edge, class Graph> |
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62 | void back_edge(Edge e, Graph& g) { |
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63 | using namespace boost; |
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64 | BOOST_CHECK( get(m_color, target(e, g)) == Color::gray() ); |
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65 | } |
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66 | template <class Edge, class Graph> |
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67 | void forward_or_cross_edge(Edge e, Graph& g) { |
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68 | using namespace boost; |
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69 | BOOST_CHECK( get(m_color, target(e, g)) == Color::black() ); |
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70 | } |
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71 | template <class Vertex, class Graph> |
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72 | void finish_vertex(Vertex u, Graph& g) { |
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73 | using namespace boost; |
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74 | BOOST_CHECK( get(m_color, u) == Color::black() ); |
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75 | |
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76 | put(m_finish_time, u, m_time++); |
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77 | } |
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78 | private: |
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79 | ColorMap m_color; |
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80 | ParentMap m_parent; |
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81 | DiscoverTimeMap m_discover_time; |
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82 | FinishTimeMap m_finish_time; |
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83 | typename boost::property_traits<DiscoverTimeMap>::value_type m_time; |
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84 | }; |
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85 | |
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86 | template <typename Graph> |
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87 | struct dfs_test |
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88 | { |
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89 | typedef boost::graph_traits<Graph> Traits; |
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90 | typedef typename Traits::vertices_size_type |
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91 | vertices_size_type; |
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92 | |
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93 | static void go(vertices_size_type max_V) { |
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94 | using namespace boost; |
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95 | typedef typename Traits::vertex_descriptor vertex_descriptor; |
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96 | typedef typename boost::property_map<Graph, |
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97 | boost::vertex_color_t>::type ColorMap; |
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98 | typedef typename boost::property_traits<ColorMap>::value_type ColorValue; |
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99 | typedef typename boost::color_traits<ColorValue> Color; |
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100 | |
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101 | vertices_size_type i, k; |
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102 | typename Traits::edges_size_type j; |
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103 | typename Traits::vertex_iterator vi, vi_end, ui, ui_end; |
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104 | |
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105 | boost::mt19937 gen; |
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106 | |
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107 | for (i = 0; i < max_V; ++i) |
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108 | for (j = 0; j < i*i; ++j) { |
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109 | Graph g; |
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110 | generate_random_graph(g, i, j, gen); |
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111 | |
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112 | ColorMap color = get(boost::vertex_color, g); |
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113 | std::vector<vertex_descriptor> parent(num_vertices(g)); |
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114 | for (k = 0; k < num_vertices(g); ++k) |
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115 | parent[k] = k; |
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116 | std::vector<int> discover_time(num_vertices(g)), |
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117 | finish_time(num_vertices(g)); |
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118 | |
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119 | dfs_test_visitor<ColorMap, vertex_descriptor*, |
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120 | int*, int*> vis(color, &parent[0], |
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121 | &discover_time[0], &finish_time[0]); |
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122 | |
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123 | boost::depth_first_search(g, visitor(vis).color_map(color)); |
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124 | |
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125 | // all vertices should be black |
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126 | for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi) |
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127 | BOOST_CHECK(get(color, *vi) == Color::black()); |
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128 | |
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129 | // check parenthesis structure of discover/finish times |
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130 | // See CLR p.480 |
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131 | for (boost::tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui) |
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132 | for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi) { |
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133 | vertex_descriptor u = *ui, v = *vi; |
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134 | if (u != v) { |
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135 | BOOST_CHECK( finish_time[u] < discover_time[v] |
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136 | || finish_time[v] < discover_time[u] |
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137 | || (discover_time[v] < discover_time[u] |
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138 | && finish_time[u] < finish_time[v] |
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139 | && boost::is_descendant(u, v, &parent[0])) |
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140 | || (discover_time[u] < discover_time[v] |
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141 | && finish_time[v] < finish_time[u] |
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142 | && boost::is_descendant(v, u, &parent[0])) |
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143 | ); |
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144 | } |
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145 | } |
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146 | } |
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147 | |
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148 | } |
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149 | }; |
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150 | |
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151 | |
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152 | // usage: dfs.exe [max-vertices=15] |
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153 | |
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154 | int test_main(int argc, char* argv[]) |
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155 | { |
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156 | int max_V = 7; |
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157 | if (argc > 1) |
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158 | max_V = atoi(argv[1]); |
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159 | |
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160 | // Test directed graphs. |
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161 | dfs_test< boost::adjacency_list<boost::vecS, boost::vecS, boost::directedS, |
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162 | boost::property<boost::vertex_color_t, boost::default_color_type> > |
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163 | >::go(max_V); |
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164 | // Test undirected graphs. |
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165 | dfs_test< boost::adjacency_list<boost::vecS, boost::vecS, boost::undirectedS, |
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166 | boost::property<boost::vertex_color_t, boost::default_color_type> > |
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167 | >::go(max_V); |
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168 | |
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169 | return 0; |
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170 | } |
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171 | |
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