dfs.cpp
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//=======================================================================
// Copyright 2001 University of Notre Dame.
// Author: Jeremy G. Siek
//
// 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)
//=======================================================================
#include <boost/config.hpp>
#include <boost/core/lightweight_test.hpp>
#include <stdlib.h>
#include <boost/graph/depth_first_search.hpp>
#include <boost/graph/adjacency_list.hpp>
#include <boost/graph/graph_archetypes.hpp>
#include <boost/graph/graph_utility.hpp>
#include <boost/graph/random.hpp>
#include <boost/random/mersenne_twister.hpp>
template < typename ColorMap, typename ParentMap, typename DiscoverTimeMap,
typename FinishTimeMap >
class dfs_test_visitor
{
typedef typename boost::property_traits< ColorMap >::value_type ColorValue;
typedef typename boost::color_traits< ColorValue > Color;
public:
dfs_test_visitor(
ColorMap color, ParentMap p, DiscoverTimeMap d, FinishTimeMap f)
: m_color(color)
, m_parent(p)
, m_discover_time(d)
, m_finish_time(f)
, m_time(0)
{
}
template < class Vertex, class Graph >
void initialize_vertex(Vertex u, Graph&)
{
BOOST_TEST(boost::get(m_color, u) == Color::white());
}
template < class Vertex, class Graph > void start_vertex(Vertex u, Graph&)
{
BOOST_TEST(boost::get(m_color, u) == Color::white());
}
template < class Vertex, class Graph >
void discover_vertex(Vertex u, Graph&)
{
using namespace boost;
BOOST_TEST(get(m_color, u) == Color::gray());
BOOST_TEST(get(m_color, get(m_parent, u)) == Color::gray());
put(m_discover_time, u, m_time++);
}
template < class Edge, class Graph > void examine_edge(Edge e, Graph& g)
{
using namespace boost;
BOOST_TEST(get(m_color, source(e, g)) == Color::gray());
}
template < class Edge, class Graph > void tree_edge(Edge e, Graph& g)
{
using namespace boost;
BOOST_TEST(get(m_color, target(e, g)) == Color::white());
put(m_parent, target(e, g), source(e, g));
}
template < class Edge, class Graph > void back_edge(Edge e, Graph& g)
{
using namespace boost;
BOOST_TEST(get(m_color, target(e, g)) == Color::gray());
}
template < class Edge, class Graph >
void forward_or_cross_edge(Edge e, Graph& g)
{
using namespace boost;
BOOST_TEST(get(m_color, target(e, g)) == Color::black());
}
template < class Edge, class Graph > void finish_edge(Edge e, Graph& g)
{
using namespace boost;
BOOST_TEST(get(m_color, target(e, g)) == Color::gray()
|| get(m_color, target(e, g)) == Color::black());
}
template < class Vertex, class Graph > void finish_vertex(Vertex u, Graph&)
{
using namespace boost;
BOOST_TEST(get(m_color, u) == Color::black());
put(m_finish_time, u, m_time++);
}
private:
ColorMap m_color;
ParentMap m_parent;
DiscoverTimeMap m_discover_time;
FinishTimeMap m_finish_time;
typename boost::property_traits< DiscoverTimeMap >::value_type m_time;
};
template < typename Graph > struct dfs_test
{
typedef boost::graph_traits< Graph > Traits;
typedef typename Traits::vertices_size_type vertices_size_type;
static void go(vertices_size_type max_V)
{
using namespace boost;
typedef typename Traits::vertex_descriptor vertex_descriptor;
typedef
typename boost::property_map< Graph, boost::vertex_color_t >::type
ColorMap;
typedef
typename boost::property_traits< ColorMap >::value_type ColorValue;
typedef typename boost::color_traits< ColorValue > Color;
vertices_size_type i, k;
typename Traits::edges_size_type j;
typename Traits::vertex_iterator vi, vi_end, ui, ui_end;
boost::mt19937 gen;
for (i = 0; i < max_V; ++i)
for (j = 0; j < i * i; ++j)
{
Graph g;
generate_random_graph(g, i, j, gen);
ColorMap color = get(boost::vertex_color, g);
std::vector< vertex_descriptor > parent(num_vertices(g));
for (k = 0; k < num_vertices(g); ++k)
parent[k] = k;
std::vector< int > discover_time(num_vertices(g)),
finish_time(num_vertices(g));
// Get vertex index map
typedef typename boost::property_map< Graph,
boost::vertex_index_t >::const_type idx_type;
idx_type idx = get(boost::vertex_index, g);
typedef boost::iterator_property_map<
typename std::vector< vertex_descriptor >::iterator,
idx_type >
parent_pm_type;
parent_pm_type parent_pm(parent.begin(), idx);
typedef boost::iterator_property_map<
std::vector< int >::iterator, idx_type >
time_pm_type;
time_pm_type discover_time_pm(discover_time.begin(), idx);
time_pm_type finish_time_pm(finish_time.begin(), idx);
dfs_test_visitor< ColorMap, parent_pm_type, time_pm_type,
time_pm_type >
vis(color, parent_pm, discover_time_pm, finish_time_pm);
boost::depth_first_search(g, visitor(vis).color_map(color));
// all vertices should be black
for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi)
BOOST_TEST(get(color, *vi) == Color::black());
// check parenthesis structure of discover/finish times
// See CLR p.480
for (boost::tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui)
for (boost::tie(vi, vi_end) = vertices(g); vi != vi_end;
++vi)
{
vertex_descriptor u = *ui, v = *vi;
if (u != v)
{
BOOST_TEST(finish_time[u] < discover_time[v]
|| finish_time[v] < discover_time[u]
|| (discover_time[v] < discover_time[u]
&& finish_time[u] < finish_time[v]
&& boost::is_descendant(u, v, parent_pm))
|| (discover_time[u] < discover_time[v]
&& finish_time[v] < finish_time[u]
&& boost::is_descendant(v, u, parent_pm)));
}
}
}
}
};
// usage: dfs.exe [max-vertices=15]
int main(int argc, char* argv[])
{
int max_V = 7;
if (argc > 1)
max_V = atoi(argv[1]);
// Test directed graphs.
dfs_test< boost::adjacency_list< boost::vecS, boost::vecS, boost::directedS,
boost::property< boost::vertex_color_t,
boost::default_color_type > > >::go(max_V);
// Test undirected graphs.
dfs_test<
boost::adjacency_list< boost::vecS, boost::vecS, boost::undirectedS,
boost::property< boost::vertex_color_t,
boost::default_color_type > > >::go(max_V);
return boost::report_errors();
}