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1/**
2 *
3 * Copyright (c) 2010 Matthias Walter (xammy@xammy.homelinux.net)
4 *
5 * Authors: Matthias Walter
6 *
7 * Distributed under the Boost Software License, Version 1.0. (See
8 * accompanying file LICENSE_1_0.txt or copy at
9 * http://www.boost.org/LICENSE_1_0.txt)
10 *
11 */
12
13#include <boost/graph/adjacency_list.hpp>
14#include <boost/graph/lookup_edge.hpp>
15#include <boost/test/minimal.hpp>
16#include <boost/graph/bipartite.hpp>
17
18/// Verifies a 2-coloring
19
20template <typename Graph, typename ColorMap>
21void check_two_coloring (const Graph& g, const ColorMap color_map)
22{
23 typedef boost::graph_traits <Graph> traits;
24 typename traits::edge_iterator edge_iter, edge_end;
25
26 for (boost::tie (edge_iter, edge_end) = boost::edges (g); edge_iter != edge_end; ++edge_iter)
27 {
28 typename traits::vertex_descriptor source, target;
29 source = boost::source (*edge_iter, g);
30 target = boost::target (*edge_iter, g);
31 BOOST_REQUIRE (boost::get(color_map, source) != boost::get(color_map, target));
32 }
33}
34
35/// Tests for a vertex sequence to define an odd cycle
36
37template <typename Graph, typename RandomAccessIterator>
38void check_odd_cycle (const Graph& g, RandomAccessIterator first, RandomAccessIterator beyond)
39{
40 typedef boost::graph_traits <Graph> traits;
41
42 typename traits::vertex_descriptor first_vertex, current_vertex, last_vertex;
43
44 BOOST_CHECK ((beyond - first) % 2 == 1);
45
46 // std::cout << "odd_cycle: " << int(*first) << std::endl;
47
48 for (first_vertex = current_vertex = *first++; first != beyond; ++first)
49 {
50 // std::cout << "odd_cycle: " << int(*first) << std::endl;
51
52 last_vertex = current_vertex;
53 current_vertex = *first;
54
55 BOOST_REQUIRE (boost::lookup_edge (current_vertex, last_vertex, g).second);
56 }
57
58 BOOST_REQUIRE (boost::lookup_edge (first_vertex, current_vertex, g).second);
59}
60
61/// Call the is_bipartite and find_odd_cycle functions and verify their results.
62
63template <typename Graph, typename IndexMap>
64void check_bipartite (const Graph& g, IndexMap index_map, bool is_bipartite)
65{
66 typedef boost::graph_traits <Graph> traits;
67 typedef std::vector <boost::default_color_type> partition_t;
68 typedef std::vector <typename traits::vertex_descriptor> vertex_vector_t;
69 typedef boost::iterator_property_map <partition_t::iterator, IndexMap> partition_map_t;
70
71 partition_t partition (boost::num_vertices (g));
72 partition_map_t partition_map (partition.begin (), index_map);
73
74 vertex_vector_t odd_cycle (boost::num_vertices (g));
75
76 bool first_result = boost::is_bipartite (g, index_map, partition_map);
77
78 BOOST_REQUIRE (first_result == boost::is_bipartite(g, index_map));
79
80 if (first_result)
81 check_two_coloring (g, partition_map);
82
83 BOOST_CHECK (first_result == is_bipartite);
84
85 typename vertex_vector_t::iterator second_first = odd_cycle.begin ();
86 typename vertex_vector_t::iterator second_beyond = boost::find_odd_cycle (g, index_map, partition_map, second_first);
87
88 if (is_bipartite)
89 {
90 BOOST_CHECK (second_beyond == second_first);
91 check_two_coloring (g, partition_map);
92 }
93 else
94 {
95 check_odd_cycle (g, second_first, second_beyond);
96 }
97
98 second_beyond = boost::find_odd_cycle (g, index_map, second_first);
99 if (is_bipartite)
100 {
101 BOOST_CHECK (second_beyond == second_first);
102 }
103 else
104 {
105 check_odd_cycle (g, second_first, second_beyond);
106 }
107}
108
109int test_main (int argc, char **argv)
110{
111 typedef boost::adjacency_list <boost::vecS, boost::vecS, boost::undirectedS> vector_graph_t;
112 typedef boost::adjacency_list <boost::listS, boost::listS, boost::undirectedS> list_graph_t;
113 typedef std::pair <int, int> E;
114
115 typedef std::map <boost::graph_traits <list_graph_t>::vertex_descriptor, size_t> index_map_t;
116 typedef boost::associative_property_map <index_map_t> index_property_map_t;
117
118 /**
119 * Create the graph drawn below.
120 *
121 * 0 - 1 - 2
122 * | |
123 * 3 - 4 - 5 - 6
124 * / \ /
125 * | 7
126 * | |
127 * 8 - 9 - 10
128 **/
129
130 E bipartite_edges[] = { E (0, 1), E (0, 4), E (1, 2), E (2, 6), E (3, 4), E (3, 8), E (4, 5), E (4, 7), E (5, 6), E (
131 6, 7), E (7, 10), E (8, 9), E (9, 10) };
132 vector_graph_t bipartite_vector_graph (&bipartite_edges[0],
133 &bipartite_edges[0] + sizeof(bipartite_edges) / sizeof(E), 11);
134 list_graph_t
135 bipartite_list_graph (&bipartite_edges[0], &bipartite_edges[0] + sizeof(bipartite_edges) / sizeof(E), 11);
136
137 /**
138 * Create the graph drawn below.
139 *
140 * 2 - 1 - 0
141 * | |
142 * 3 - 6 - 5 - 4
143 * / \ /
144 * | 7
145 * | /
146 * 8 ---- 9
147 *
148 **/
149
150 E non_bipartite_edges[] = { E (0, 1), E (0, 4), E (1, 2), E (2, 6), E (3, 4), E (3, 8), E (4, 5), E (4, 7), E (5, 6),
151 E (6, 7), E (7, 9), E (8, 9) };
152 vector_graph_t non_bipartite_vector_graph (&non_bipartite_edges[0], &non_bipartite_edges[0]
153 + sizeof(non_bipartite_edges) / sizeof(E), 10);
154 list_graph_t non_bipartite_list_graph (&non_bipartite_edges[0], &non_bipartite_edges[0] + sizeof(non_bipartite_edges)
155 / sizeof(E), 10);
156
157 /// Create index maps
158
159 index_map_t bipartite_index_map, non_bipartite_index_map;
160 boost::graph_traits <list_graph_t>::vertex_iterator vertex_iter, vertex_end;
161 size_t i = 0;
162 for (boost::tie (vertex_iter, vertex_end) = boost::vertices (bipartite_list_graph); vertex_iter != vertex_end; ++vertex_iter)
163 {
164 bipartite_index_map[*vertex_iter] = i++;
165 }
166 index_property_map_t bipartite_index_property_map = index_property_map_t (bipartite_index_map);
167
168 i = 0;
169 for (boost::tie (vertex_iter, vertex_end) = boost::vertices (non_bipartite_list_graph); vertex_iter != vertex_end; ++vertex_iter)
170 {
171 non_bipartite_index_map[*vertex_iter] = i++;
172 }
173 index_property_map_t non_bipartite_index_property_map = index_property_map_t (non_bipartite_index_map);
174
175 /// Call real checks
176
177 check_bipartite (bipartite_vector_graph, boost::get (boost::vertex_index, bipartite_vector_graph), true);
178 check_bipartite (bipartite_list_graph, bipartite_index_property_map, true);
179
180 check_bipartite (non_bipartite_vector_graph, boost::get (boost::vertex_index, non_bipartite_vector_graph), false);
181 check_bipartite (non_bipartite_list_graph, non_bipartite_index_property_map, false);
182
183 /// Test some more interfaces
184
185 BOOST_REQUIRE (is_bipartite (bipartite_vector_graph));
186 BOOST_REQUIRE (!is_bipartite (non_bipartite_vector_graph));
187
188 return 0;
189}