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//=======================================================================

// 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 <iostream>

#include <boost/graph/adjacency_list.hpp>

#include <boost/graph/properties.hpp>

#include <boost/graph/graph_traits.hpp>

#include <boost/property_map/property_map.hpp>

#include <boost/ref.hpp>

#include <vector>

#include <boost/graph/planar_canonical_ordering.hpp>

#include <boost/graph/boyer_myrvold_planar_test.hpp>

using namespace boost;

int main(int argc, char** argv)

{

using graph = adjacency_list< vecS, vecS, undirectedS,

property< vertex_index_t, int >, property< edge_index_t, int > >;

// Create a maximal planar graph on 6 vertices

graph g(6);

add_edge(0, 1, g);

add_edge(1, 2, g);

add_edge(2, 3, g);

add_edge(3, 4, g);

add_edge(4, 5, g);

add_edge(5, 0, g);

add_edge(0, 2, g);

add_edge(0, 3, g);

add_edge(0, 4, g);

add_edge(1, 3, g);

add_edge(1, 4, g);

add_edge(1, 5, g);

// Initialize the interior edge index

auto e_index = get(edge_index, g);

graph_traits< graph >::edges_size_type edge_count = 0;

graph_traits< graph >::edge_iterator ei, ei_end;

for (boost::tie(ei, ei_end) = edges(g); ei != ei_end; ++ei)

put(e_index, *ei, edge_count++);

// Test for planarity - we know it is planar, we just want to

// compute the planar embedding as a side-effect

using vec_t = std::vector< graph_traits< graph >::edge_descriptor >;

std::vector< vec_t > embedding(num_vertices(g));

if (boyer_myrvold_planarity_test(boyer_myrvold_params::graph = g,

boyer_myrvold_params::embedding = make_iterator_property_map(

embedding.begin(), get(vertex_index, g))))

std::cout << "Input graph is planar" << std::endl;

else

std::cout << "Input graph is not planar" << std::endl;

using ordering_storage_t

= std::vector< graph_traits< graph >::vertex_descriptor >;

ordering_storage_t ordering;

planar_canonical_ordering(g,

make_iterator_property_map(embedding.begin(), get(vertex_index, g)),

std::back_inserter(ordering));

auto oi_end = ordering.end();

std::cout << "The planar canonical ordering is: ";

for (auto oi = ordering.begin(); oi != oi_end; ++oi)

std::cout << *oi << " ";

std::cout << std::endl;

return 0;

}