[1078] | 1 | /* -*- C++ -*- |
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[1435] | 2 | * test/max_matching_test.cc - |
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[1101] | 3 | * Part of LEMON, a generic C++ optimization library |
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[1078] | 4 | * |
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[1164] | 5 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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[1359] | 6 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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[1078] | 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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[1098] | 19 | #include <vector> |
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[1078] | 20 | #include <queue> |
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[1494] | 21 | #include <cmath> |
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[1078] | 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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[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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| 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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[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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[1078] | 69 | max_matching.runEdmonds(0); |
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| 70 | |
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| 71 | int s=0; |
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[1098] | 72 | Graph::NodeMap<Node> mate(g,INVALID); |
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[1078] | 73 | max_matching.writeNMapNode(mate); |
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[1098] | 74 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 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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[1092] | 78 | |
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[1098] | 79 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1092] | 80 | max_matching.mate(v); |
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| 81 | } |
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| 82 | |
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[1078] | 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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[1098] | 85 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos0(g); |
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[1078] | 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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[1098] | 92 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 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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[1098] | 97 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos1(g); |
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[1078] | 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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[1098] | 103 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 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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[1098] | 108 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos2(g); |
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[1078] | 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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[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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| 118 | check ( (int)s/2 == size, "The size does not equal!" ); |
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| 119 | |
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[1098] | 120 | Graph::NodeMap<MaxMatching<Graph>::pos_enum> pos(g); |
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[1078] | 121 | max_matching.writePos(pos); |
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| 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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[1098] | 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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[1078] | 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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[1098] | 149 | Graph::NodeMap<bool> todo(g,true); |
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[1078] | 150 | int num_comp=0; |
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[1098] | 151 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 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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[1098] | 161 | for(IncEdgeIt e(g,w); e!=INVALID; ++e) { |
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[1158] | 162 | Node u=g.runningNode(e); |
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[1078] | 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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[1098] | 173 | check ( oddcomp, "A component of g[D] is not odd." ); |
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[1078] | 174 | |
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| 175 | int barrier=0; |
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[1098] | 176 | for(NodeIt v(g); v!=INVALID; ++v) { |
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[1078] | 177 | if ( pos[v]==max_matching.A ) ++barrier; |
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| 178 | } |
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[1098] | 179 | int expected_size=(int)( countNodes(g)-num_comp+barrier)/2; |
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[1078] | 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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