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1 //=======================================================================
2 // Copyright (c) 2005 Aaron Windsor
3 //
4 // Distributed under the Boost Software License, Version 1.0.
5 // (See accompanying file LICENSE_1_0.txt or copy at
6 // http://www.boost.org/LICENSE_1_0.txt)
7 //
8 //=======================================================================
9 #include <cstdlib>
10 #include <iostream>
11 #include <boost/property_map/vector_property_map.hpp>
12 #include <boost/graph/adjacency_list.hpp>
13 #include <boost/graph/random.hpp>
14 #include <ctime>
15 #include <boost/random.hpp>
16 
17 #include <boost/graph/max_cardinality_matching.hpp>
18 
19 using namespace boost;
20 
21 typedef adjacency_list< vecS, vecS, undirectedS,
22     property< vertex_index_t, int > >
23     undirected_graph;
24 
25 typedef property_map< undirected_graph, vertex_index_t >::type
26     vertex_index_map_t;
27 typedef vector_property_map<
28     graph_traits< undirected_graph >::vertex_descriptor, vertex_index_map_t >
29     mate_t;
30 typedef graph_traits< undirected_graph >::vertex_iterator vertex_iterator_t;
31 typedef graph_traits< undirected_graph >::vertex_descriptor vertex_descriptor_t;
32 typedef graph_traits< undirected_graph >::vertices_size_type v_size_t;
33 
main(int argc,char ** argv)34 int main(int argc, char** argv)
35 {
36     if (argc < 3)
37     {
38         std::cout << "Usage: " << argv[0] << " n m" << std::endl
39                   << "Tests the checked matching on a random graph w/ n "
40                      "vertices and m edges"
41                   << std::endl;
42         exit(-1);
43     }
44 
45     int n = atoi(argv[1]);
46     int m = atoi(argv[2]);
47 
48     undirected_graph g(n);
49 
50     typedef boost::mt19937 base_generator_type;
51     base_generator_type generator(static_cast< unsigned int >(std::time(0)));
52     boost::uniform_int<> distribution(0, n - 1);
53     boost::variate_generator< base_generator_type&, boost::uniform_int<> >
54         rand_num(generator, distribution);
55 
56     int num_edges = 0;
57     bool success;
58 
59     while (num_edges < m)
60     {
61         vertex_descriptor_t u = random_vertex(g, rand_num);
62         vertex_descriptor_t v = random_vertex(g, rand_num);
63         if (u != v)
64         {
65             if (!edge(u, v, g).second)
66                 boost::tie(tuples::ignore, success) = add_edge(u, v, g);
67             else
68                 success = false;
69 
70             if (success)
71                 num_edges++;
72         }
73     }
74 
75     mate_t mate(n);
76     bool random_graph_result
77         = checked_edmonds_maximum_cardinality_matching(g, mate);
78 
79     if (!random_graph_result)
80     {
81         std::cout << "TEST 1 FAILED!!!" << std::endl << std::endl;
82 
83         std::cout << "Graph has edges: ";
84         typedef graph_traits< undirected_graph >::edge_iterator edge_iterator_t;
85         edge_iterator_t ei, ei_end;
86         for (boost::tie(ei, ei_end) = edges(g); ei != ei_end; ++ei)
87             std::cout << *ei << ", ";
88         std::cout << std::endl;
89 
90         std::cout << "Matching is: ";
91         vertex_iterator_t vi, vi_end;
92         for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi)
93             if (mate[*vi] != graph_traits< undirected_graph >::null_vertex()
94                 && *vi < mate[*vi])
95                 std::cout << "{" << *vi << "," << mate[*vi] << "}, ";
96         std::cout << std::endl;
97     }
98 
99     // Now remove an edge from the random_mate matching.
100     vertex_iterator_t vi, vi_end;
101     for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi)
102         if (mate[*vi] != graph_traits< undirected_graph >::null_vertex())
103             break;
104 
105     mate[mate[*vi]] = graph_traits< undirected_graph >::null_vertex();
106     mate[*vi] = graph_traits< undirected_graph >::null_vertex();
107 
108     //...and run the matching verifier - it should tell us that the matching
109     // isn't a maximum matching.
110     bool modified_random_verification_result
111         = maximum_cardinality_matching_verifier< undirected_graph, mate_t,
112             vertex_index_map_t >::verify_matching(g, mate,
113             get(vertex_index, g));
114 
115     if (modified_random_verification_result)
116     {
117         std::cout << "TEST 2 FAILED!!!" << std::endl;
118     }
119 
120     // find a greedy matching on the graph
121     mate_t greedy_mate(n);
122     greedy_matching< undirected_graph, mate_t >::find_matching(g, greedy_mate);
123 
124     if (matching_size(g, mate) > matching_size(g, greedy_mate)
125         && maximum_cardinality_matching_verifier< undirected_graph, mate_t,
126             vertex_index_map_t >::verify_matching(g, greedy_mate,
127             get(vertex_index, g)))
128         std::cout << "TEST 3 FAILED!!!" << std::endl;
129 
130     return 0;
131 }
132