[1078] | 1 | /* -*- C++ -*- |
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| 2 | * |
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[1956] | 3 | * This file is a part of LEMON, a generic C++ optimization library |
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| 4 | * |
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[2553] | 5 | * Copyright (C) 2003-2008 |
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[1956] | 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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[1359] | 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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[1078] | 8 | * |
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| 9 | * Permission to use, modify and distribute this software is granted |
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| 10 | * provided that this copyright notice appears in all copies. For |
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| 11 | * precise terms see the accompanying LICENSE file. |
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| 12 | * |
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| 13 | * This software is provided "AS IS" with no warranty of any kind, |
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| 14 | * express or implied, and with no claim as to its suitability for any |
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| 15 | * purpose. |
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| 16 | * |
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| 17 | */ |
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| 18 | |
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| 19 | #include <iostream> |
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[1098] | 20 | #include <vector> |
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[1078] | 21 | #include <queue> |
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[2569] | 22 | #include <lemon/math.h> |
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[1078] | 23 | #include <cstdlib> |
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| 24 | |
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| 25 | #include "test_tools.h" |
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[2116] | 26 | #include <lemon/list_graph.h> |
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[1092] | 27 | #include <lemon/max_matching.h> |
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[1078] | 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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[1909] | 34 | typedef ListUGraph Graph; |
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[1078] | 35 | |
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| 36 | typedef Graph::Edge Edge; |
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[1909] | 37 | typedef Graph::UEdgeIt UEdgeIt; |
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[1078] | 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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[1098] | 42 | Graph g; |
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| 43 | g.clear(); |
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[1078] | 44 | |
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[1098] | 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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[1078] | 48 | |
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[1098] | 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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[2505] | 69 | max_matching.init(); |
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| 70 | max_matching.startDense(); |
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[1078] | 71 | |
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| 72 | int s=0; |
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[1098] | 73 | Graph::NodeMap<Node> mate(g,INVALID); |
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[2505] | 74 | max_matching.mateMap(mate); |
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[1098] | 75 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 76 | if ( mate[v]!=INVALID ) ++s; |
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| 77 | } |
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[2386] | 78 | int size=int(s/2); //size will be used as the size of a maxmatching |
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[1092] | 79 | |
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[1098] | 80 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1092] | 81 | max_matching.mate(v); |
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| 82 | } |
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| 83 | |
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[1078] | 84 | check ( size == max_matching.size(), "mate() returns a different size matching than max_matching.size()" ); |
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| 85 | |
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[2505] | 86 | Graph::NodeMap<MaxMatching<Graph>::DecompType> pos0(g); |
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| 87 | max_matching.decomposition(pos0); |
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[1078] | 88 | |
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[2505] | 89 | max_matching.init(); |
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| 90 | max_matching.startSparse(); |
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[1078] | 91 | s=0; |
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[2505] | 92 | max_matching.mateMap(mate); |
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[1098] | 93 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 94 | if ( mate[v]!=INVALID ) ++s; |
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| 95 | } |
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[2386] | 96 | check ( int(s/2) == size, "The size does not equal!" ); |
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[1078] | 97 | |
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[2505] | 98 | Graph::NodeMap<MaxMatching<Graph>::DecompType> pos1(g); |
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| 99 | max_matching.decomposition(pos1); |
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[1078] | 100 | |
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| 101 | max_matching.run(); |
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| 102 | s=0; |
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[2505] | 103 | max_matching.mateMap(mate); |
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[1098] | 104 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 105 | if ( mate[v]!=INVALID ) ++s; |
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| 106 | } |
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[2386] | 107 | check ( int(s/2) == size, "The size does not equal!" ); |
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[1078] | 108 | |
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[2505] | 109 | Graph::NodeMap<MaxMatching<Graph>::DecompType> pos2(g); |
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| 110 | max_matching.decomposition(pos2); |
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[1078] | 111 | |
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| 112 | max_matching.run(); |
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| 113 | s=0; |
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[2505] | 114 | max_matching.mateMap(mate); |
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[1098] | 115 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 116 | if ( mate[v]!=INVALID ) ++s; |
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| 117 | } |
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[2386] | 118 | check ( int(s/2) == size, "The size does not equal!" ); |
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[1078] | 119 | |
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[2505] | 120 | Graph::NodeMap<MaxMatching<Graph>::DecompType> pos(g); |
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| 121 | max_matching.decomposition(pos); |
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[1078] | 122 | |
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| 123 | bool ismatching=true; |
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[1098] | 124 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 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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[1098] | 133 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 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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[1909] | 141 | for(UEdgeIt e(g); e!=INVALID; ++e) { |
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[2505] | 142 | if ( (pos[g.target(e)]==max_matching.C && |
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| 143 | pos[g.source(e)]==max_matching.D) || |
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| 144 | (pos[g.target(e)]==max_matching.D && |
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| 145 | pos[g.source(e)]==max_matching.C) ) |
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[1078] | 146 | noedge=false; |
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| 147 | } |
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| 148 | check ( noedge, "There are edges between D and C!" ); |
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| 149 | |
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| 150 | bool oddcomp=true; |
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[1098] | 151 | Graph::NodeMap<bool> todo(g,true); |
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[1078] | 152 | int num_comp=0; |
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[1098] | 153 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 154 | if ( pos[v]==max_matching.D && todo[v] ) { |
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| 155 | int comp_size=1; |
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| 156 | ++num_comp; |
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| 157 | std::queue<Node> Q; |
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| 158 | Q.push(v); |
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| 159 | todo.set(v,false); |
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| 160 | while (!Q.empty()) { |
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| 161 | Node w=Q.front(); |
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| 162 | Q.pop(); |
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[1098] | 163 | for(IncEdgeIt e(g,w); e!=INVALID; ++e) { |
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[1158] | 164 | Node u=g.runningNode(e); |
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[1078] | 165 | if ( pos[u]==max_matching.D && todo[u] ) { |
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| 166 | ++comp_size; |
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| 167 | Q.push(u); |
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| 168 | todo.set(u,false); |
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| 169 | } |
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| 170 | } |
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| 171 | } |
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| 172 | if ( !(comp_size % 2) ) oddcomp=false; |
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| 173 | } |
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| 174 | } |
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[1098] | 175 | check ( oddcomp, "A component of g[D] is not odd." ); |
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[1078] | 176 | |
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| 177 | int barrier=0; |
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[1098] | 178 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 179 | if ( pos[v]==max_matching.A ) ++barrier; |
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| 180 | } |
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[2386] | 181 | int expected_size=int( countNodes(g)-num_comp+barrier)/2; |
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[1078] | 182 | check ( size==expected_size, "The size of the matching is wrong." ); |
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| 183 | |
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| 184 | return 0; |
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| 185 | } |
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