1 | /* -*- C++ -*- |
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2 | * test/max_matching_test.cc - |
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3 | * Part of LEMON, a generic C++ optimization library |
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4 | * |
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5 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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6 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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7 | * |
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8 | * Permission to use, modify and distribute this software is granted |
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9 | * provided that this copyright notice appears in all copies. For |
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10 | * precise terms see the accompanying LICENSE file. |
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11 | * |
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12 | * This software is provided "AS IS" with no warranty of any kind, |
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13 | * express or implied, and with no claim as to its suitability for any |
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14 | * purpose. |
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15 | * |
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16 | */ |
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17 | |
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18 | #include <iostream> |
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19 | #include <vector> |
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20 | #include <queue> |
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21 | #include <math.h> |
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22 | #include <cstdlib> |
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23 | |
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24 | #include "test_tools.h" |
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25 | #include <lemon/invalid.h> |
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26 | #include <lemon/list_graph.h> |
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27 | #include <lemon/max_matching.h> |
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28 | |
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29 | using namespace std; |
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30 | using namespace lemon; |
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31 | |
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32 | int main() { |
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33 | |
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34 | typedef UndirListGraph Graph; |
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35 | |
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36 | typedef Graph::Edge Edge; |
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37 | typedef Graph::UndirEdgeIt UndirEdgeIt; |
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38 | typedef Graph::IncEdgeIt IncEdgeIt; |
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39 | typedef Graph::NodeIt NodeIt; |
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40 | typedef Graph::Node Node; |
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41 | |
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42 | Graph g; |
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43 | g.clear(); |
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44 | |
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45 | std::vector<Graph::Node> nodes; |
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46 | for (int i=0; i<13; ++i) |
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47 | nodes.push_back(g.addNode()); |
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48 | |
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49 | g.addEdge(nodes[0], nodes[0]); |
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50 | g.addEdge(nodes[6], nodes[10]); |
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51 | g.addEdge(nodes[5], nodes[10]); |
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52 | g.addEdge(nodes[4], nodes[10]); |
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53 | g.addEdge(nodes[3], nodes[11]); |
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54 | g.addEdge(nodes[1], nodes[6]); |
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55 | g.addEdge(nodes[4], nodes[7]); |
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56 | g.addEdge(nodes[1], nodes[8]); |
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57 | g.addEdge(nodes[0], nodes[8]); |
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58 | g.addEdge(nodes[3], nodes[12]); |
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59 | g.addEdge(nodes[6], nodes[9]); |
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60 | g.addEdge(nodes[9], nodes[11]); |
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61 | g.addEdge(nodes[2], nodes[10]); |
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62 | g.addEdge(nodes[10], nodes[8]); |
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63 | g.addEdge(nodes[5], nodes[8]); |
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64 | g.addEdge(nodes[6], nodes[3]); |
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65 | g.addEdge(nodes[0], nodes[5]); |
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66 | g.addEdge(nodes[6], nodes[12]); |
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67 | |
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68 | MaxMatching<Graph> max_matching(g); |
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69 | max_matching.runEdmonds(0); |
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70 | |
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71 | int s=0; |
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72 | Graph::NodeMap<Node> mate(g,INVALID); |
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73 | max_matching.writeNMapNode(mate); |
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74 | for(NodeIt v(g); v!=INVALID; ++v) { |
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75 | if ( mate[v]!=INVALID ) ++s; |
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76 | } |
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77 | int size=(int)s/2; //size will be used as the size of a maxmatching |
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78 | |
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79 | for(NodeIt v(g); v!=INVALID; ++v) { |
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80 | max_matching.mate(v); |
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81 | } |
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82 | |
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83 | check ( size == max_matching.size(), "mate() returns a different size matching than max_matching.size()" ); |
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84 | |
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85 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos0(g); |
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86 | max_matching.writePos(pos0); |
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87 | |
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88 | max_matching.resetMatching(); |
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89 | max_matching.runEdmonds(1); |
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90 | s=0; |
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91 | max_matching.writeNMapNode(mate); |
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92 | for(NodeIt v(g); v!=INVALID; ++v) { |
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93 | if ( mate[v]!=INVALID ) ++s; |
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94 | } |
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95 | check ( (int)s/2 == size, "The size does not equal!" ); |
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96 | |
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97 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos1(g); |
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98 | max_matching.writePos(pos1); |
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99 | |
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100 | max_matching.run(); |
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101 | s=0; |
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102 | max_matching.writeNMapNode(mate); |
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103 | for(NodeIt v(g); v!=INVALID; ++v) { |
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104 | if ( mate[v]!=INVALID ) ++s; |
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105 | } |
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106 | check ( (int)s/2 == size, "The size does not equal!" ); |
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107 | |
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108 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos2(g); |
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109 | max_matching.writePos(pos2); |
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110 | |
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111 | max_matching.resetMatching(); |
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112 | max_matching.run(); |
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113 | s=0; |
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114 | max_matching.writeNMapNode(mate); |
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115 | for(NodeIt v(g); v!=INVALID; ++v) { |
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116 | if ( mate[v]!=INVALID ) ++s; |
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117 | } |
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118 | check ( (int)s/2 == size, "The size does not equal!" ); |
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119 | |
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120 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos(g); |
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121 | max_matching.writePos(pos); |
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122 | |
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123 | bool ismatching=true; |
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124 | for(NodeIt v(g); v!=INVALID; ++v) { |
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125 | if ( mate[v]!=INVALID ) { |
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126 | Node u=mate[v]; |
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127 | if (mate[u]!=v) ismatching=false; |
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128 | } |
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129 | } |
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130 | check ( ismatching, "It is not a matching!" ); |
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131 | |
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132 | bool coincide=true; |
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133 | for(NodeIt v(g); v!=INVALID; ++v) { |
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134 | if ( pos0[v] != pos1[v] || pos1[v]!=pos2[v] || pos2[v]!=pos[v] ) { |
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135 | coincide=false; |
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136 | } |
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137 | } |
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138 | check ( coincide, "The decompositions do not coincide! " ); |
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139 | |
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140 | bool noedge=true; |
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141 | for(UndirEdgeIt e(g); e!=INVALID; ++e) { |
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142 | if ( (pos[g.target(e)]==max_matching.C && pos[g.source(e)]==max_matching.D) || |
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143 | (pos[g.target(e)]==max_matching.D && pos[g.source(e)]==max_matching.C) ) |
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144 | noedge=false; |
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145 | } |
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146 | check ( noedge, "There are edges between D and C!" ); |
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147 | |
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148 | bool oddcomp=true; |
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149 | Graph::NodeMap<bool> todo(g,true); |
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150 | int num_comp=0; |
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151 | for(NodeIt v(g); v!=INVALID; ++v) { |
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152 | if ( pos[v]==max_matching.D && todo[v] ) { |
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153 | int comp_size=1; |
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154 | ++num_comp; |
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155 | std::queue<Node> Q; |
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156 | Q.push(v); |
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157 | todo.set(v,false); |
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158 | while (!Q.empty()) { |
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159 | Node w=Q.front(); |
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160 | Q.pop(); |
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161 | for(IncEdgeIt e(g,w); e!=INVALID; ++e) { |
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162 | Node u=g.runningNode(e); |
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163 | if ( pos[u]==max_matching.D && todo[u] ) { |
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164 | ++comp_size; |
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165 | Q.push(u); |
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166 | todo.set(u,false); |
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167 | } |
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168 | } |
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169 | } |
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170 | if ( !(comp_size % 2) ) oddcomp=false; |
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171 | } |
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172 | } |
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173 | check ( oddcomp, "A component of g[D] is not odd." ); |
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174 | |
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175 | int barrier=0; |
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176 | for(NodeIt v(g); v!=INVALID; ++v) { |
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177 | if ( pos[v]==max_matching.A ) ++barrier; |
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178 | } |
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179 | int expected_size=(int)( countNodes(g)-num_comp+barrier)/2; |
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180 | check ( size==expected_size, "The size of the matching is wrong." ); |
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181 | |
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182 | return 0; |
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183 | } |
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