1 //  Copyright (c) 2006, Stephan Diederich
2 //
3 //  This code may be used under either of the following two licences:
4 //
5 //    Permission is hereby granted, free of charge, to any person
6 //    obtaining a copy of this software and associated documentation
7 //    files (the "Software"), to deal in the Software without
8 //    restriction, including without limitation the rights to use,
9 //    copy, modify, merge, publish, distribute, sublicense, and/or
10 //    sell copies of the Software, and to permit persons to whom the
11 //    Software is furnished to do so, subject to the following
12 //    conditions:
13 //
14 //    The above copyright notice and this permission notice shall be
15 //    included in all copies or substantial portions of the Software.
16 //
17 //    THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
18 //    EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
19 //    OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
20 //    NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
21 //    HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
22 //    WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
23 //    FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
24 //    OTHER DEALINGS IN THE SOFTWARE. OF SUCH DAMAGE.
25 //
26 //  Or:
27 //
28 //    Distributed under the Boost Software License, Version 1.0.
29 //    (See accompanying file LICENSE_1_0.txt or copy at
30 //    http://www.boost.org/LICENSE_1_0.txt)
31 
32 #include <vector>
33 #include <iterator>
34 #include <iostream>
35 #include <algorithm>
36 #include <fstream>
37 
38 #include <boost/core/lightweight_test.hpp>
39 // three max_flows we test here
40 #include <boost/graph/boykov_kolmogorov_max_flow.hpp>
41 #include <boost/graph/push_relabel_max_flow.hpp>
42 #include <boost/graph/edmonds_karp_max_flow.hpp>
43 // boost utilities we use
44 #include <boost/graph/adjacency_list.hpp>
45 #include <boost/graph/random.hpp>
46 #include <boost/property_map/property_map.hpp>
47 #include <boost/random/linear_congruential.hpp>
48 #include <boost/lexical_cast.hpp>
49 
50 /***************
51  * test which compares results of the three different max_flow implementations
52  * command line parameters:
53  *   number_of_vertices: defaults to 100
54  *   number_of_edges:    defaults to 1000
55  *   seeed:              defaults to 1
56  ***************/
57 
58 using namespace boost;
59 
main(int argc,char * argv[])60 int main(int argc, char* argv[])
61 {
62 
63     typedef adjacency_list_traits< vecS, vecS, directedS > Traits;
64     typedef adjacency_list< vecS, vecS, directedS,
65         property< vertex_index_t, long,
66             property< vertex_color_t, boost::default_color_type,
67                 property< vertex_distance_t, long,
68                     property< vertex_predecessor_t,
69                         Traits::edge_descriptor > > > >,
70         property< edge_capacity_t, long,
71             property< edge_residual_capacity_t, long,
72                 property< edge_reverse_t, Traits::edge_descriptor > > > >
73         Graph;
74 
75     typedef graph_traits< Graph >::edge_descriptor tEdge;
76     typedef graph_traits< Graph >::vertex_descriptor tVertex;
77 
78     graph_traits< Graph >::vertices_size_type n_verts = 100;
79     graph_traits< Graph >::edges_size_type n_edges = 1000;
80     std::size_t seed = 1;
81 
82     if (argc > 1)
83         n_verts = lexical_cast< std::size_t >(argv[1]);
84     if (argc > 2)
85         n_edges = lexical_cast< std::size_t >(argv[2]);
86     if (argc > 3)
87         seed = lexical_cast< std::size_t >(argv[3]);
88 
89     Graph g;
90     const int cap_low = 1;
91     const int cap_high = 1000;
92 
93     // init random numer generator
94     minstd_rand gen(seed);
95     // generate graph
96     generate_random_graph(g, n_verts, n_edges, gen);
97 
98     // init an uniform distribution int generator
99     typedef variate_generator< minstd_rand, uniform_int< int > > tIntGen;
100     tIntGen int_gen(gen, uniform_int< int >(cap_low, cap_high));
101     // init edge-capacities
102     randomize_property< edge_capacity_t, Graph, tIntGen >(g, int_gen);
103 
104     // get source and sink node
105     tVertex source_vertex = random_vertex(g, gen);
106     tVertex sink_vertex = graph_traits< Graph >::null_vertex();
107     while (sink_vertex == graph_traits< Graph >::null_vertex()
108         || sink_vertex == source_vertex)
109         sink_vertex = random_vertex(g, gen);
110 
111     // add reverse edges (ugly... how to do better?!)
112     property_map< Graph, edge_reverse_t >::type rev = get(edge_reverse, g);
113     property_map< Graph, edge_capacity_t >::type cap = get(edge_capacity, g);
114     std::list< tEdge > edges_copy;
115     graph_traits< Graph >::edge_iterator ei, e_end;
116     boost::tie(ei, e_end) = edges(g);
117     std::copy(
118         ei, e_end, std::back_insert_iterator< std::list< tEdge > >(edges_copy));
119     while (!edges_copy.empty())
120     {
121         tEdge old_edge = edges_copy.front();
122         edges_copy.pop_front();
123         tVertex source_vertex = target(old_edge, g);
124         tVertex target_vertex = source(old_edge, g);
125         bool inserted;
126         tEdge new_edge;
127         boost::tie(new_edge, inserted)
128             = add_edge(source_vertex, target_vertex, g);
129         assert(inserted);
130         rev[old_edge] = new_edge;
131         rev[new_edge] = old_edge;
132         cap[new_edge] = 0;
133     }
134 
135     typedef property_traits< property_map< Graph,
136         edge_capacity_t >::const_type >::value_type tEdgeVal;
137 
138     tEdgeVal bk = boykov_kolmogorov_max_flow(g, source_vertex, sink_vertex);
139     tEdgeVal push_relabel
140         = push_relabel_max_flow(g, source_vertex, sink_vertex);
141     tEdgeVal edmonds_karp
142         = edmonds_karp_max_flow(g, source_vertex, sink_vertex);
143 
144     BOOST_TEST(bk == push_relabel);
145     BOOST_TEST(push_relabel == edmonds_karp);
146 
147     return boost::report_errors();
148 }
149