// Copyright 2004 The Trustees of Indiana University. // Use, modification and distribution is subject to 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) // Authors: Douglas Gregor // Andrew Lumsdaine #include #include #include #include #include #include #include #include #include #include #include #include using namespace boost; struct EdgeProperty { std::size_t component; }; static bool any_errors = false; template < typename Graph, typename Vertex > void check_articulation_points(const Graph& g, std::vector< Vertex > art_points) { std::vector< int > components(num_vertices(g)); int basic_comps = connected_components(g, make_iterator_property_map( components.begin(), get(vertex_index, g), int())); std::vector< Vertex > art_points_check; typename graph_traits< Graph >::vertex_iterator vi, vi_end; for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi) { Graph g_copy(g); Vertex victim = vertex(get(vertex_index, g, *vi), g_copy); clear_vertex(victim, g_copy); remove_vertex(victim, g_copy); int copy_comps = connected_components(g_copy, make_iterator_property_map( components.begin(), get(vertex_index, g_copy), int())); if (copy_comps > basic_comps) art_points_check.push_back(*vi); } std::sort(art_points.begin(), art_points.end()); std::sort(art_points_check.begin(), art_points_check.end()); BOOST_TEST(art_points == art_points_check); if (art_points != art_points_check) { std::cerr << "ERROR!" << std::endl; std::cerr << "\tComputed: "; std::size_t i; for (i = 0; i < art_points.size(); ++i) std::cout << art_points[i] << ' '; std::cout << std::endl << "\tExpected: "; for (i = 0; i < art_points_check.size(); ++i) std::cout << art_points_check[i] << ' '; std::cout << std::endl; any_errors = true; } else std::cout << "OK." << std::endl; } typedef adjacency_list< listS, vecS, undirectedS, no_property, EdgeProperty > Graph; typedef graph_traits< Graph >::vertex_descriptor Vertex; bool test_graph(Graph& g) { // Returns false on failure std::vector< Vertex > art_points; std::cout << "Computing biconnected components & articulation points... "; std::cout.flush(); std::size_t num_comps = biconnected_components( g, get(&EdgeProperty::component, g), std::back_inserter(art_points)) .first; std::cout << "done.\n\t" << num_comps << " biconnected components.\n" << "\t" << art_points.size() << " articulation points.\n" << "\tTesting articulation points..."; std::cout.flush(); check_articulation_points(g, art_points); if (any_errors) { std::ofstream out("biconnected_components_test_failed.dot"); out << "graph A {\n" << " node[shape=\"circle\"]\n"; for (std::size_t i = 0; i < art_points.size(); ++i) { out << art_points[i] << " [ style=\"filled\" ];" << std::endl; } graph_traits< Graph >::edge_iterator ei, ei_end; for (boost::tie(ei, ei_end) = edges(g); ei != ei_end; ++ei) out << source(*ei, g) << " -- " << target(*ei, g) << "[label=\"" << g[*ei].component << "\"]\n"; out << "}\n"; } return any_errors; } int main(int argc, char* argv[]) { std::size_t n = 100; std::size_t m = 500; std::size_t seed = 1; if (argc > 1) n = lexical_cast< std::size_t >(argv[1]); if (argc > 2) m = lexical_cast< std::size_t >(argv[2]); if (argc > 3) seed = lexical_cast< std::size_t >(argv[3]); { Graph g(n); minstd_rand gen(seed); generate_random_graph(g, n, m, gen); if (test_graph(g)) return 1; } { Graph g(4); add_edge(2, 3, g); add_edge(0, 3, g); add_edge(0, 2, g); add_edge(1, 0, g); if (test_graph(g)) return 1; } return boost::report_errors(); }