COIN-OR::LEMON - Graph Library

source: lemon-0.x/test/max_matching_test.cc @ 2553:bfced05fa852

Last change on this file since 2553:bfced05fa852 was 2553:bfced05fa852, checked in by Alpar Juttner, 13 years ago

Happy New Year to LEMON (+ better update-copyright-header script)

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[1078]1/* -*- C++ -*-
2 *
[1956]3 * This file is a part of LEMON, a generic C++ optimization library
4 *
[2553]5 * Copyright (C) 2003-2008
[1956]6 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
[1359]7 * (Egervary Research Group on Combinatorial Optimization, EGRES).
[1078]8 *
9 * Permission to use, modify and distribute this software is granted
10 * provided that this copyright notice appears in all copies. For
11 * precise terms see the accompanying LICENSE file.
12 *
13 * This software is provided "AS IS" with no warranty of any kind,
14 * express or implied, and with no claim as to its suitability for any
15 * purpose.
16 *
17 */
18
19#include <iostream>
[1098]20#include <vector>
[1078]21#include <queue>
[1494]22#include <cmath>
[1078]23#include <cstdlib>
24
25#include "test_tools.h"
[2116]26#include <lemon/list_graph.h>
[1092]27#include <lemon/max_matching.h>
[1078]28
29using namespace std;
30using namespace lemon;
31
32int main() {
33
[1909]34  typedef ListUGraph Graph;
[1078]35
36  typedef Graph::Edge Edge;
[1909]37  typedef Graph::UEdgeIt UEdgeIt;
[1078]38  typedef Graph::IncEdgeIt IncEdgeIt;
39  typedef Graph::NodeIt NodeIt;
40  typedef Graph::Node Node;
41   
[1098]42  Graph g;
43  g.clear();
[1078]44
[1098]45  std::vector<Graph::Node> nodes;
46  for (int i=0; i<13; ++i)
47      nodes.push_back(g.addNode());
[1078]48
[1098]49  g.addEdge(nodes[0], nodes[0]);
50  g.addEdge(nodes[6], nodes[10]);
51  g.addEdge(nodes[5], nodes[10]);
52  g.addEdge(nodes[4], nodes[10]);
53  g.addEdge(nodes[3], nodes[11]); 
54  g.addEdge(nodes[1], nodes[6]);
55  g.addEdge(nodes[4], nodes[7]); 
56  g.addEdge(nodes[1], nodes[8]);
57  g.addEdge(nodes[0], nodes[8]);
58  g.addEdge(nodes[3], nodes[12]);
59  g.addEdge(nodes[6], nodes[9]);
60  g.addEdge(nodes[9], nodes[11]);
61  g.addEdge(nodes[2], nodes[10]);
62  g.addEdge(nodes[10], nodes[8]);
63  g.addEdge(nodes[5], nodes[8]);
64  g.addEdge(nodes[6], nodes[3]);
65  g.addEdge(nodes[0], nodes[5]);
66  g.addEdge(nodes[6], nodes[12]);
67 
68  MaxMatching<Graph> max_matching(g);
[2505]69  max_matching.init();
70  max_matching.startDense();
[1078]71 
72  int s=0;
[1098]73  Graph::NodeMap<Node> mate(g,INVALID);
[2505]74  max_matching.mateMap(mate);
[1098]75  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]76    if ( mate[v]!=INVALID ) ++s;
77  }
[2386]78  int size=int(s/2);  //size will be used as the size of a maxmatching
[1092]79
[1098]80  for(NodeIt v(g); v!=INVALID; ++v) {
[1092]81    max_matching.mate(v);
82  }
83
[1078]84  check ( size == max_matching.size(), "mate() returns a different size matching than max_matching.size()" );
85
[2505]86  Graph::NodeMap<MaxMatching<Graph>::DecompType> pos0(g);
87  max_matching.decomposition(pos0);
[1078]88 
[2505]89  max_matching.init();
90  max_matching.startSparse();
[1078]91  s=0;
[2505]92  max_matching.mateMap(mate);
[1098]93  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]94    if ( mate[v]!=INVALID ) ++s;
95  }
[2386]96  check ( int(s/2) == size, "The size does not equal!" );
[1078]97
[2505]98  Graph::NodeMap<MaxMatching<Graph>::DecompType> pos1(g);
99  max_matching.decomposition(pos1);
[1078]100
101  max_matching.run();
102  s=0;
[2505]103  max_matching.mateMap(mate);
[1098]104  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]105    if ( mate[v]!=INVALID ) ++s;
106  }
[2386]107  check ( int(s/2) == size, "The size does not equal!" );
[1078]108 
[2505]109  Graph::NodeMap<MaxMatching<Graph>::DecompType> pos2(g);
110  max_matching.decomposition(pos2);
[1078]111
112  max_matching.run();
113  s=0;
[2505]114  max_matching.mateMap(mate);
[1098]115  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]116    if ( mate[v]!=INVALID ) ++s;
117  }
[2386]118  check ( int(s/2) == size, "The size does not equal!" );
[1078]119 
[2505]120  Graph::NodeMap<MaxMatching<Graph>::DecompType> pos(g);
121  max_matching.decomposition(pos);
[1078]122   
123  bool ismatching=true;
[1098]124  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]125    if ( mate[v]!=INVALID ) {
126      Node u=mate[v];
127      if (mate[u]!=v) ismatching=false;
128    }
129  } 
130  check ( ismatching, "It is not a matching!" );
131
132  bool coincide=true;
[1098]133  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]134   if ( pos0[v] != pos1[v] || pos1[v]!=pos2[v] || pos2[v]!=pos[v] ) {
135     coincide=false;
136    }
137  }
138  check ( coincide, "The decompositions do not coincide! " );
139
140  bool noedge=true;
[1909]141  for(UEdgeIt e(g); e!=INVALID; ++e) {
[2505]142   if ( (pos[g.target(e)]==max_matching.C &&
143         pos[g.source(e)]==max_matching.D) ||
144         (pos[g.target(e)]==max_matching.D &&
145          pos[g.source(e)]==max_matching.C) )
[1078]146      noedge=false;
147  }
148  check ( noedge, "There are edges between D and C!" );
149 
150  bool oddcomp=true;
[1098]151  Graph::NodeMap<bool> todo(g,true);
[1078]152  int num_comp=0;
[1098]153  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]154   if ( pos[v]==max_matching.D && todo[v] ) {
155      int comp_size=1;
156      ++num_comp;
157      std::queue<Node> Q;
158      Q.push(v);
159      todo.set(v,false);
160      while (!Q.empty()) {
161        Node w=Q.front();       
162        Q.pop();
[1098]163        for(IncEdgeIt e(g,w); e!=INVALID; ++e) {
[1158]164          Node u=g.runningNode(e);
[1078]165          if ( pos[u]==max_matching.D && todo[u] ) {
166            ++comp_size;
167            Q.push(u);
168            todo.set(u,false);
169          }
170        }
171      }
172      if ( !(comp_size % 2) ) oddcomp=false; 
173    }
174  }
[1098]175  check ( oddcomp, "A component of g[D] is not odd." );
[1078]176
177  int barrier=0;
[1098]178  for(NodeIt v(g); v!=INVALID; ++v) {
[1078]179    if ( pos[v]==max_matching.A ) ++barrier;
180  }
[2386]181  int expected_size=int( countNodes(g)-num_comp+barrier)/2;
[1078]182  check ( size==expected_size, "The size of the matching is wrong." );
183 
184  return 0;
185}
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