276 lines
8.5 KiB
C++
276 lines
8.5 KiB
C++
//=======================================================================
|
|
// Copyright 2007 Aaron Windsor
|
|
//
|
|
// 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)
|
|
//=======================================================================
|
|
#ifndef __MAKE_MAXIMAL_PLANAR_HPP__
|
|
#define __MAKE_MAXIMAL_PLANAR_HPP__
|
|
|
|
#include <boost/config.hpp>
|
|
#include <boost/tuple/tuple.hpp> //for tie
|
|
#include <boost/graph/biconnected_components.hpp>
|
|
#include <boost/property_map/property_map.hpp>
|
|
#include <vector>
|
|
#include <iterator>
|
|
#include <algorithm>
|
|
|
|
#include <boost/graph/planar_face_traversal.hpp>
|
|
#include <boost/graph/planar_detail/add_edge_visitors.hpp>
|
|
|
|
|
|
namespace boost
|
|
{
|
|
|
|
|
|
template <typename Graph, typename VertexIndexMap, typename AddEdgeVisitor>
|
|
struct triangulation_visitor : public planar_face_traversal_visitor
|
|
{
|
|
|
|
typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
|
|
typedef typename graph_traits<Graph>::edge_descriptor edge_t;
|
|
typedef typename graph_traits<Graph>::vertices_size_type v_size_t;
|
|
typedef typename graph_traits<Graph>::degree_size_type degree_size_t;
|
|
typedef typename graph_traits<Graph>::edge_iterator edge_iterator_t;
|
|
typedef typename graph_traits<Graph>::vertex_iterator vertex_iterator_t;
|
|
typedef typename graph_traits<Graph>::adjacency_iterator
|
|
adjacency_iterator_t;
|
|
typedef typename std::vector<vertex_t> vertex_vector_t;
|
|
typedef typename std::vector<v_size_t> v_size_vector_t;
|
|
typedef typename std::vector<degree_size_t> degree_size_vector_t;
|
|
typedef iterator_property_map
|
|
< typename v_size_vector_t::iterator, VertexIndexMap >
|
|
vertex_to_v_size_map_t;
|
|
typedef iterator_property_map
|
|
< typename degree_size_vector_t::iterator, VertexIndexMap >
|
|
vertex_to_degree_size_map_t;
|
|
typedef typename vertex_vector_t::iterator face_iterator;
|
|
|
|
|
|
triangulation_visitor(Graph& arg_g,
|
|
VertexIndexMap arg_vm,
|
|
AddEdgeVisitor arg_add_edge_visitor
|
|
) :
|
|
g(arg_g),
|
|
vm(arg_vm),
|
|
add_edge_visitor(arg_add_edge_visitor),
|
|
timestamp(0),
|
|
marked_vector(num_vertices(g), timestamp),
|
|
degree_vector(num_vertices(g), 0),
|
|
marked(marked_vector.begin(), vm),
|
|
degree(degree_vector.begin(), vm)
|
|
{
|
|
vertex_iterator_t vi, vi_end;
|
|
for(boost::tie(vi,vi_end) = vertices(g); vi != vi_end; ++vi)
|
|
put(degree, *vi, out_degree(*vi, g));
|
|
}
|
|
|
|
template <typename Vertex>
|
|
void next_vertex(Vertex v)
|
|
{
|
|
// Self-loops will appear as consecutive vertices in the list of
|
|
// vertices on a face. We want to skip these.
|
|
if (!vertices_on_face.empty() &&
|
|
(vertices_on_face.back() == v || vertices_on_face.front() == v)
|
|
)
|
|
return;
|
|
|
|
vertices_on_face.push_back(v);
|
|
}
|
|
|
|
void end_face()
|
|
{
|
|
++timestamp;
|
|
|
|
if (vertices_on_face.size() <= 3)
|
|
{
|
|
// At most three vertices on this face - don't need to triangulate
|
|
vertices_on_face.clear();
|
|
return;
|
|
}
|
|
|
|
// Find vertex on face of minimum degree
|
|
degree_size_t min_degree = num_vertices(g);
|
|
typename vertex_vector_t::iterator min_degree_vertex_itr;
|
|
face_iterator fi_end = vertices_on_face.end();
|
|
for(face_iterator fi = vertices_on_face.begin(); fi != fi_end; ++fi)
|
|
{
|
|
degree_size_t deg = get(degree,*fi);
|
|
if (deg < min_degree)
|
|
{
|
|
min_degree_vertex_itr = fi;
|
|
min_degree = deg;
|
|
}
|
|
}
|
|
|
|
// To simplify some of the manipulations, we'll re-arrange
|
|
// vertices_on_face so that it still contains the same
|
|
// (counter-clockwise) order of the vertices on this face, but now the
|
|
// min_degree_vertex is the first element in vertices_on_face.
|
|
vertex_vector_t temp_vector;
|
|
std::copy(min_degree_vertex_itr, vertices_on_face.end(),
|
|
std::back_inserter(temp_vector));
|
|
std::copy(vertices_on_face.begin(), min_degree_vertex_itr,
|
|
std::back_inserter(temp_vector));
|
|
vertices_on_face.swap(temp_vector);
|
|
|
|
// Mark all of the min degree vertex's neighbors
|
|
adjacency_iterator_t ai, ai_end;
|
|
for(boost::tie(ai,ai_end) = adjacent_vertices(vertices_on_face.front(),g);
|
|
ai != ai_end; ++ai
|
|
)
|
|
{
|
|
put(marked, *ai, timestamp);
|
|
}
|
|
|
|
typename vertex_vector_t::iterator marked_neighbor
|
|
= vertices_on_face.end();
|
|
|
|
// The iterator manipulations on the next two lines are safe because
|
|
// vertices_on_face.size() > 3 (from the first test in this function)
|
|
fi_end = prior(vertices_on_face.end());
|
|
for(face_iterator fi = boost::next(boost::next(vertices_on_face.begin()));
|
|
fi != fi_end; ++fi
|
|
)
|
|
{
|
|
if (get(marked, *fi) == timestamp)
|
|
{
|
|
marked_neighbor = fi;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (marked_neighbor == vertices_on_face.end())
|
|
{
|
|
add_edge_range(
|
|
vertices_on_face[0],
|
|
boost::next(boost::next(vertices_on_face.begin())),
|
|
prior(vertices_on_face.end())
|
|
);
|
|
}
|
|
else
|
|
{
|
|
add_edge_range(
|
|
vertices_on_face[1],
|
|
boost::next(marked_neighbor),
|
|
vertices_on_face.end()
|
|
);
|
|
|
|
add_edge_range(
|
|
*boost::next(marked_neighbor),
|
|
boost::next(boost::next(vertices_on_face.begin())),
|
|
marked_neighbor
|
|
);
|
|
}
|
|
|
|
//reset for the next face
|
|
vertices_on_face.clear();
|
|
|
|
}
|
|
|
|
private:
|
|
|
|
|
|
void add_edge_range(vertex_t anchor,
|
|
face_iterator fi,
|
|
face_iterator fi_end
|
|
)
|
|
{
|
|
for (; fi != fi_end; ++fi)
|
|
{
|
|
vertex_t v(*fi);
|
|
add_edge_visitor.visit_vertex_pair(anchor, v, g);
|
|
put(degree, anchor, get(degree, anchor) + 1);
|
|
put(degree, v, get(degree, v) + 1);
|
|
}
|
|
}
|
|
|
|
|
|
Graph& g;
|
|
VertexIndexMap vm;
|
|
AddEdgeVisitor add_edge_visitor;
|
|
v_size_t timestamp;
|
|
vertex_vector_t vertices_on_face;
|
|
v_size_vector_t marked_vector;
|
|
degree_size_vector_t degree_vector;
|
|
vertex_to_v_size_map_t marked;
|
|
vertex_to_degree_size_map_t degree;
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
template <typename Graph,
|
|
typename PlanarEmbedding,
|
|
typename VertexIndexMap,
|
|
typename EdgeIndexMap,
|
|
typename AddEdgeVisitor
|
|
>
|
|
void make_maximal_planar(Graph& g,
|
|
PlanarEmbedding embedding,
|
|
VertexIndexMap vm,
|
|
EdgeIndexMap em,
|
|
AddEdgeVisitor& vis)
|
|
{
|
|
triangulation_visitor<Graph,VertexIndexMap,AddEdgeVisitor>
|
|
visitor(g, vm, vis);
|
|
planar_face_traversal(g, embedding, visitor, em);
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Graph,
|
|
typename PlanarEmbedding,
|
|
typename VertexIndexMap,
|
|
typename EdgeIndexMap
|
|
>
|
|
void make_maximal_planar(Graph& g,
|
|
PlanarEmbedding embedding,
|
|
VertexIndexMap vm,
|
|
EdgeIndexMap em
|
|
)
|
|
{
|
|
default_add_edge_visitor vis;
|
|
make_maximal_planar(g, embedding, vm, em, vis);
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Graph,
|
|
typename PlanarEmbedding,
|
|
typename VertexIndexMap
|
|
>
|
|
void make_maximal_planar(Graph& g,
|
|
PlanarEmbedding embedding,
|
|
VertexIndexMap vm
|
|
)
|
|
{
|
|
make_maximal_planar(g, embedding, vm, get(edge_index,g));
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Graph,
|
|
typename PlanarEmbedding
|
|
>
|
|
void make_maximal_planar(Graph& g,
|
|
PlanarEmbedding embedding
|
|
)
|
|
{
|
|
make_maximal_planar(g, embedding, get(vertex_index,g));
|
|
}
|
|
|
|
|
|
|
|
|
|
} // namespace boost
|
|
|
|
|
|
|
|
#endif //__MAKE_MAXIMAL_PLANAR_HPP__
|