//
//=======================================================================
// Copyright (c) 2004 Kristopher Beevers
//
// 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/graph/astar_search.hpp>
#include <boost/graph/adjacency_list.hpp>
#include <boost/graph/random.hpp>
#include <boost/random.hpp>
#include <utility>
#include <vector>
#include <list>
#include <iostream>
#include <math.h> // for sqrt
#include <time.h>

using namespace boost;
using namespace std;

// auxiliary types
struct location
{
    float y, x; // lat, long
};
struct my_float
{
    float v;
    explicit my_float(float v = float()) : v(v) {}
};
typedef my_float cost;
ostream& operator<<(ostream& o, my_float f) { return o << f.v; }
my_float operator+(my_float a, my_float b) { return my_float(a.v + b.v); }
bool operator==(my_float a, my_float b) { return a.v == b.v; }
bool operator<(my_float a, my_float b) { return a.v < b.v; }

template < class Name, class LocMap > class city_writer
{
public:
    city_writer(Name n, LocMap l, float _minx, float _maxx, float _miny,
        float _maxy, unsigned int _ptx, unsigned int _pty)
    : name(n)
    , loc(l)
    , minx(_minx)
    , maxx(_maxx)
    , miny(_miny)
    , maxy(_maxy)
    , ptx(_ptx)
    , pty(_pty)
    {
    }
    template < class Vertex >
    void operator()(ostream& out, const Vertex& v) const
    {
        float px = 1 - (loc[v].x - minx) / (maxx - minx);
        float py = (loc[v].y - miny) / (maxy - miny);
        out << "[label=\"" << name[v] << "\", pos=\""
            << static_cast< unsigned int >(ptx * px) << ","
            << static_cast< unsigned int >(pty * py) << "\", fontsize=\"11\"]";
    }

private:
    Name name;
    LocMap loc;
    float minx, maxx, miny, maxy;
    unsigned int ptx, pty;
};

template < class WeightMap > class time_writer
{
public:
    time_writer(WeightMap w) : wm(w) {}
    template < class Edge > void operator()(ostream& out, const Edge& e) const
    {
        out << "[label=\"" << wm[e] << "\", fontsize=\"11\"]";
    }

private:
    WeightMap wm;
};

// euclidean distance heuristic
template < class Graph, class CostType, class LocMap >
class distance_heuristic : public astar_heuristic< Graph, CostType >
{
public:
    typedef typename graph_traits< Graph >::vertex_descriptor Vertex;
    distance_heuristic(LocMap l, Vertex goal) : m_location(l), m_goal(goal) {}
    CostType operator()(Vertex u)
    {
        float dx = m_location[m_goal].x - m_location[u].x;
        float dy = m_location[m_goal].y - m_location[u].y;
        return CostType(::sqrt(dx * dx + dy * dy));
    }

private:
    LocMap m_location;
    Vertex m_goal;
};

struct found_goal
{
}; // exception for termination

// visitor that terminates when we find the goal
template < class Vertex >
class astar_goal_visitor : public boost::default_astar_visitor
{
public:
    astar_goal_visitor(Vertex goal) : m_goal(goal) {}
    template < class Graph > void examine_vertex(Vertex u, Graph&)
    {
        if (u == m_goal)
            throw found_goal();
    }

private:
    Vertex m_goal;
};

int main(int, char**)
{

    // specify some types
    typedef adjacency_list< listS, vecS, undirectedS, no_property,
        property< edge_weight_t, cost > >
        mygraph_t;
    typedef property_map< mygraph_t, edge_weight_t >::type WeightMap;
    typedef mygraph_t::vertex_descriptor vertex;
    typedef mygraph_t::edge_descriptor edge_descriptor;
    typedef std::pair< int, int > edge;

    // specify data
    enum nodes
    {
        Troy,
        LakePlacid,
        Plattsburgh,
        Massena,
        Watertown,
        Utica,
        Syracuse,
        Rochester,
        Buffalo,
        Ithaca,
        Binghamton,
        Woodstock,
        NewYork,
        N
    };
    const char* name[] = { "Troy", "Lake Placid", "Plattsburgh", "Massena",
        "Watertown", "Utica", "Syracuse", "Rochester", "Buffalo", "Ithaca",
        "Binghamton", "Woodstock", "New York" };
    location locations[] = { // lat/long
        { 42.73, 73.68 }, { 44.28, 73.99 }, { 44.70, 73.46 }, { 44.93, 74.89 },
        { 43.97, 75.91 }, { 43.10, 75.23 }, { 43.04, 76.14 }, { 43.17, 77.61 },
        { 42.89, 78.86 }, { 42.44, 76.50 }, { 42.10, 75.91 }, { 42.04, 74.11 },
        { 40.67, 73.94 }
    };
    edge edge_array[]
        = { edge(Troy, Utica), edge(Troy, LakePlacid), edge(Troy, Plattsburgh),
              edge(LakePlacid, Plattsburgh), edge(Plattsburgh, Massena),
              edge(LakePlacid, Massena), edge(Massena, Watertown),
              edge(Watertown, Utica), edge(Watertown, Syracuse),
              edge(Utica, Syracuse), edge(Syracuse, Rochester),
              edge(Rochester, Buffalo), edge(Syracuse, Ithaca),
              edge(Ithaca, Binghamton), edge(Ithaca, Rochester),
              edge(Binghamton, Troy), edge(Binghamton, Woodstock),
              edge(Binghamton, NewYork), edge(Syracuse, Binghamton),
              edge(Woodstock, Troy), edge(Woodstock, NewYork) };
    unsigned int num_edges = sizeof(edge_array) / sizeof(edge);
    cost weights[] = { // estimated travel time (mins)
        my_float(96), my_float(134), my_float(143), my_float(65), my_float(115),
        my_float(133), my_float(117), my_float(116), my_float(74), my_float(56),
        my_float(84), my_float(73), my_float(69), my_float(70), my_float(116),
        my_float(147), my_float(173), my_float(183), my_float(74), my_float(71),
        my_float(124)
    };

    // create graph
    mygraph_t g(N);
    WeightMap weightmap = get(edge_weight, g);
    for (std::size_t j = 0; j < num_edges; ++j)
    {
        edge_descriptor e;
        bool inserted;
        boost::tie(e, inserted)
            = add_edge(edge_array[j].first, edge_array[j].second, g);
        weightmap[e] = weights[j];
    }

    // pick random start/goal
    boost::minstd_rand gen(time(0));
    vertex start = gen() % num_vertices(g);
    vertex goal = gen() % num_vertices(g);

    cout << "Start vertex: " << name[start] << endl;
    cout << "Goal vertex: " << name[goal] << endl;

    vector< mygraph_t::vertex_descriptor > p(num_vertices(g));
    vector< cost > d(num_vertices(g));

    boost::property_map< mygraph_t, boost::vertex_index_t >::const_type idx
        = get(boost::vertex_index, g);

    try
    {
        // call astar named parameter interface
        astar_search(g, start,
            distance_heuristic< mygraph_t, cost, location* >(locations, goal),
            predecessor_map(make_iterator_property_map(p.begin(), idx))
                .distance_map(make_iterator_property_map(d.begin(), idx))
                .visitor(astar_goal_visitor< vertex >(goal))
                .distance_inf(my_float((std::numeric_limits< float >::max)())));
    }
    catch (found_goal fg)
    { // found a path to the goal
        list< vertex > shortest_path;
        for (vertex v = goal;; v = p[v])
        {
            shortest_path.push_front(v);
            if (p[v] == v)
                break;
        }
        cout << "Shortest path from " << name[start] << " to " << name[goal]
             << ": ";
        list< vertex >::iterator spi = shortest_path.begin();
        cout << name[start];
        for (++spi; spi != shortest_path.end(); ++spi)
            cout << " -> " << name[*spi];
        cout << endl << "Total travel time: " << d[goal] << endl;
        return 0;
    }

    cout << "Didn't find a path from " << name[start] << "to" << name[goal]
         << "!" << endl;
    return 0;
}