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// Boost.Graph library isomorphism test
// Copyright (C) 2001-20044 Douglas Gregor (dgregor at cs dot indiana dot edu)
//
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
// For more information, see http://www.boost.org
//
// Revision History:
//
// 29 Nov 2001 Jeremy Siek
// Changed to use Boost.Random.
// 29 Nov 2001 Doug Gregor
// Initial checkin.
#include <iostream>
#include <fstream>
#include <map>
#include <algorithm>
#include <cstdlib>
#include <time.h> // clock used without std:: qualifier?
#include <boost/core/lightweight_test.hpp>
#include <boost/graph/adjacency_list.hpp>
#include <boost/graph/isomorphism.hpp>
#include <boost/property_map/property_map.hpp>
#include <boost/random/variate_generator.hpp>
#include <boost/random/uniform_real.hpp>
#include <boost/random/uniform_int.hpp>
#include <boost/random/mersenne_twister.hpp>
#include <boost/lexical_cast.hpp>
#ifndef BOOST_NO_CXX11_HDR_RANDOM
#include <random>
typedef std::mt19937 random_generator_type;
#else
typedef boost::mt19937 random_generator_type;
#endif
using namespace boost;
#ifndef BOOST_NO_CXX98_RANDOM_SHUFFLE
template < typename Generator > struct random_functor
{
random_functor(Generator& g) : g(g) {}
std::size_t operator()(std::size_t n)
{
boost::uniform_int< std::size_t > distrib(0, n - 1);
boost::variate_generator< random_generator_type&,
boost::uniform_int< std::size_t > >
x(g, distrib);
return x();
}
Generator& g;
};
#endif
template < typename Graph1, typename Graph2 >
void randomly_permute_graph(const Graph1& g1, Graph2& g2)
{
// Need a clean graph to start with
BOOST_TEST(num_vertices(g2) == 0);
BOOST_TEST(num_edges(g2) == 0);
typedef typename graph_traits< Graph1 >::vertex_descriptor vertex1;
typedef typename graph_traits< Graph2 >::vertex_descriptor vertex2;
typedef typename graph_traits< Graph1 >::edge_iterator edge_iterator;
random_generator_type gen;
#ifndef BOOST_NO_CXX98_RANDOM_SHUFFLE
random_functor< random_generator_type > rand_fun(gen);
#endif
// Decide new order
std::vector< vertex1 > orig_vertices;
std::copy(vertices(g1).first, vertices(g1).second,
std::back_inserter(orig_vertices));
#ifndef BOOST_NO_CXX98_RANDOM_SHUFFLE
std::random_shuffle(orig_vertices.begin(), orig_vertices.end(), rand_fun);
#else
std::shuffle(orig_vertices.begin(), orig_vertices.end(), gen);
#endif
std::map< vertex1, vertex2 > vertex_map;
for (std::size_t i = 0; i < num_vertices(g1); ++i)
{
vertex_map[orig_vertices[i]] = add_vertex(g2);
}
for (edge_iterator e = edges(g1).first; e != edges(g1).second; ++e)
{
add_edge(vertex_map[source(*e, g1)], vertex_map[target(*e, g1)], g2);
}
}
template < typename Graph >
void generate_random_digraph(Graph& g, double edge_probability)
{
typedef typename graph_traits< Graph >::vertex_iterator vertex_iterator;
random_generator_type random_gen;
boost::uniform_real< double > distrib(0.0, 1.0);
boost::variate_generator< random_generator_type&,
boost::uniform_real< double > >
random_dist(random_gen, distrib);
for (vertex_iterator u = vertices(g).first; u != vertices(g).second; ++u)
{
vertex_iterator v = u;
++v;
for (; v != vertices(g).second; ++v)
{
if (random_dist() <= edge_probability)
add_edge(*u, *v, g);
}
}
}
void test_isomorphism2()
{
using namespace boost::graph::keywords;
typedef adjacency_list< vecS, vecS, bidirectionalS > graph1;
typedef adjacency_list< listS, listS, bidirectionalS,
property< vertex_index_t, int > >
graph2;
graph1 g1(2);
add_edge(vertex(0, g1), vertex(1, g1), g1);
add_edge(vertex(1, g1), vertex(1, g1), g1);
graph2 g2;
randomly_permute_graph(g1, g2);
int v_idx = 0;
for (graph2::vertex_iterator v = vertices(g2).first;
v != vertices(g2).second; ++v)
{
put(vertex_index_t(), g2, *v, v_idx++);
}
std::map< graph1::vertex_descriptor, graph2::vertex_descriptor > mapping;
bool isomorphism_correct;
clock_t start = clock();
BOOST_TEST(isomorphism_correct = boost::graph::isomorphism(g1, g2,
_vertex_index1_map = get(vertex_index, g1),
_isomorphism_map = make_assoc_property_map(mapping)));
clock_t end = clock();
std::cout << "Elapsed time (clock cycles): " << (end - start) << std::endl;
bool verify_correct;
BOOST_TEST(verify_correct
= verify_isomorphism(g1, g2, make_assoc_property_map(mapping)));
if (!isomorphism_correct || !verify_correct)
{
// Output graph 1
{
std::ofstream out("isomorphism_failure.bg1");
out << num_vertices(g1) << std::endl;
for (graph1::edge_iterator e = edges(g1).first;
e != edges(g1).second; ++e)
{
out << get(vertex_index_t(), g1, source(*e, g1)) << ' '
<< get(vertex_index_t(), g1, target(*e, g1)) << std::endl;
}
}
// Output graph 2
{
std::ofstream out("isomorphism_failure.bg2");
out << num_vertices(g2) << std::endl;
for (graph2::edge_iterator e = edges(g2).first;
e != edges(g2).second; ++e)
{
out << get(vertex_index_t(), g2, source(*e, g2)) << ' '
<< get(vertex_index_t(), g2, target(*e, g2)) << std::endl;
}
}
}
}
void test_isomorphism(int n, double edge_probability)
{
using namespace boost::graph::keywords;
typedef adjacency_list< vecS, vecS, bidirectionalS > graph1;
typedef adjacency_list< listS, listS, bidirectionalS,
property< vertex_index_t, int > >
graph2;
graph1 g1(n);
generate_random_digraph(g1, edge_probability);
graph2 g2;
randomly_permute_graph(g1, g2);
int v_idx = 0;
for (graph2::vertex_iterator v = vertices(g2).first;
v != vertices(g2).second; ++v)
{
put(vertex_index_t(), g2, *v, v_idx++);
}
std::map< graph1::vertex_descriptor, graph2::vertex_descriptor > mapping;
bool isomorphism_correct;
clock_t start = clock();
BOOST_TEST(isomorphism_correct = boost::graph::isomorphism(g1, g2,
_isomorphism_map = make_assoc_property_map(mapping)));
clock_t end = clock();
std::cout << "Elapsed time (clock cycles): " << (end - start) << std::endl;
bool verify_correct;
BOOST_TEST(verify_correct
= verify_isomorphism(g1, g2, make_assoc_property_map(mapping)));
if (!isomorphism_correct || !verify_correct)
{
// Output graph 1
{
std::ofstream out("isomorphism_failure.bg1");
out << num_vertices(g1) << std::endl;
for (graph1::edge_iterator e = edges(g1).first;
e != edges(g1).second; ++e)
{
out << get(vertex_index_t(), g1, source(*e, g1)) << ' '
<< get(vertex_index_t(), g1, target(*e, g1)) << std::endl;
}
}
// Output graph 2
{
std::ofstream out("isomorphism_failure.bg2");
out << num_vertices(g2) << std::endl;
for (graph2::edge_iterator e = edges(g2).first;
e != edges(g2).second; ++e)
{
out << get(vertex_index_t(), g2, source(*e, g2)) << ' '
<< get(vertex_index_t(), g2, target(*e, g2)) << std::endl;
}
}
}
}
int main(int argc, char* argv[])
{
int n = argc < 3 ? 30 : boost::lexical_cast< int >(argv[1]);
double edge_prob = argc < 3 ? 0.45 : boost::lexical_cast< double >(argv[2]);
test_isomorphism(n, edge_prob);
return boost::report_errors();
}
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