// (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/floyd_warshall_shortest.hpp>
#include <boost/graph/eccentricity.hpp>
#include <boost/graph/exterior_property.hpp>
#include <boost/graph/property_maps/constant_property_map.hpp>


using namespace std;
using namespace boost;

// 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, int> EccentricityProperty;
    typedef typename EccentricityProperty::container_type EccentricityContainer;
    typedef typename EccentricityProperty::map_type EccentricityMap;

    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);

    EccentricityContainer eccs(num_vertices(g));
    DistanceMatrix distances(num_vertices(g));

    EccentricityMap em(eccs, g);
    DistanceMatrixMap dm(distances, g);

    WeightMap wm(1);

    floyd_warshall_all_pairs_shortest_paths(g, dm, weight_map(wm));
    all_eccentricities(g, dm, em);
    int rad = radius(g, em);
    int dia = diameter(g, em);

    BOOST_ASSERT(em[v[0]] == 2);
    BOOST_ASSERT(em[v[1]] == 3);
    BOOST_ASSERT(em[v[2]] == 3);
    BOOST_ASSERT(em[v[3]] == 3);
    BOOST_ASSERT(em[v[4]] == 2);
    BOOST_ASSERT(rad == 2);
    BOOST_ASSERT(dia == 3);
}

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, int> EccentricityProperty;
    typedef typename EccentricityProperty::container_type EccentricityContainer;
    typedef typename EccentricityProperty::map_type EccentricityMap;

    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);

    EccentricityContainer eccs(num_vertices(g));
    DistanceMatrix distances(num_vertices(g));

    EccentricityMap em(eccs, g);
    DistanceMatrixMap dm(distances, g);

    WeightMap wm(1);

    floyd_warshall_all_pairs_shortest_paths(g, dm, weight_map(wm));
    all_eccentricities(g, dm, em);
    int rad = radius(g, em);
    int dia = diameter(g, em);

    int inf = numeric_values<int>::infinity();
    BOOST_ASSERT(em[v[0]] == inf);
    BOOST_ASSERT(em[v[1]] == inf);
    BOOST_ASSERT(em[v[2]] == inf);
    BOOST_ASSERT(em[v[3]] == 4);
    BOOST_ASSERT(em[v[4]] == inf);
    BOOST_ASSERT(rad == 4);
    BOOST_ASSERT(dia == inf);
}


int
main(int, char *[])
{
    typedef undirected_graph<> Graph;
    typedef directed_graph<> Digraph;

    test_undirected<Graph>();
    test_directed<Digraph>();
}