graph/test/mean_geodesic.cpp

141 lines
4.0 KiB
C++

// (C) Copyright 2007-2009 Andrew Sutton
//
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0 (See accompanying file
// LICENSE_1_0.txt or http://www.boost.org/LICENSE_1_0.txt)
#include <iostream>
#include <boost/graph/undirected_graph.hpp>
#include <boost/graph/directed_graph.hpp>
#include <boost/graph/exterior_property.hpp>
#include <boost/graph/property_maps/constant_property_map.hpp>
#include <boost/graph/floyd_warshall_shortest.hpp>
#include <boost/graph/geodesic_distance.hpp>
using namespace std;
using namespace boost;
// useful types
// number of vertices in the graph
static const unsigned N = 5;
template <typename Graph>
struct vertex_vector
{
typedef graph_traits<Graph> traits;
typedef vector<typename traits::vertex_descriptor> type;
};
template <typename Graph>
void build_graph(Graph& g, typename vertex_vector<Graph>::type& v)
{
// add vertices
for(size_t i = 0; i < N; ++i) {
v[i] = add_vertex(g);
}
// add edges
add_edge(v[0], v[1], g);
add_edge(v[1], v[2], g);
add_edge(v[2], v[0], g);
add_edge(v[3], v[4], g);
add_edge(v[4], v[0], g);
}
template <typename Graph>
void test_undirected()
{
typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
typedef typename graph_traits<Graph>::edge_descriptor Edge;
typedef exterior_vertex_property<Graph, double> CentralityProperty;
typedef typename CentralityProperty::container_type CentralityContainer;
typedef typename CentralityProperty::map_type CentralityMap;
typedef exterior_vertex_property<Graph, int> DistanceProperty;
typedef typename DistanceProperty::matrix_type DistanceMatrix;
typedef typename DistanceProperty::matrix_map_type DistanceMatrixMap;
typedef constant_property_map<Edge, int> WeightMap;
Graph g;
vector<Vertex> v(N);
build_graph(g, v);
CentralityContainer centralities(num_vertices(g));
DistanceMatrix distances(num_vertices(g));
CentralityMap cm(centralities, g);
DistanceMatrixMap dm(distances, g);
WeightMap wm(1);
floyd_warshall_all_pairs_shortest_paths(g, dm, weight_map(wm));
double geo1 = all_mean_geodesics(g, dm, cm);
double geo2 = small_world_distance(g, cm);
BOOST_ASSERT(cm[v[0]] == double(5)/4);
BOOST_ASSERT(cm[v[1]] == double(7)/4);
BOOST_ASSERT(cm[v[2]] == double(7)/4);
BOOST_ASSERT(cm[v[3]] == double(9)/4);
BOOST_ASSERT(cm[v[4]] == double(6)/4);
BOOST_ASSERT(geo1 == double(34)/20);
BOOST_ASSERT(geo1 == geo2);
}
template <typename Graph>
void test_directed()
{
typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
typedef typename graph_traits<Graph>::edge_descriptor Edge;
typedef exterior_vertex_property<Graph, double> CentralityProperty;
typedef typename CentralityProperty::container_type CentralityContainer;
typedef typename CentralityProperty::map_type CentralityMap;
typedef exterior_vertex_property<Graph, int> DistanceProperty;
typedef typename DistanceProperty::matrix_type DistanceMatrix;
typedef typename DistanceProperty::matrix_map_type DistanceMatrixMap;
typedef constant_property_map<Edge, int> WeightMap;
Graph g;
vector<Vertex> v(N);
build_graph(g, v);
CentralityContainer centralities(num_vertices(g));
DistanceMatrix distances(num_vertices(g));
CentralityMap cm(centralities, g);
DistanceMatrixMap dm(distances, g);
WeightMap wm(1);
floyd_warshall_all_pairs_shortest_paths(g, dm, weight_map(wm));
double geo1 = all_mean_geodesics(g, dm, cm);
double geo2 = small_world_distance(g, cm);
double inf = numeric_values<double>::infinity();
BOOST_ASSERT(cm[v[0]] == inf);
BOOST_ASSERT(cm[v[1]] == inf);
BOOST_ASSERT(cm[v[2]] == inf);
BOOST_ASSERT(cm[v[3]] == double(10)/4);
BOOST_ASSERT(cm[v[4]] == inf);
BOOST_ASSERT(geo1 == inf);
BOOST_ASSERT(geo1 == geo2);
}
int
main(int, char *[])
{
typedef undirected_graph<> Graph;
typedef directed_graph<> Digraph;
test_undirected<Graph>();
test_directed<Digraph>();
}