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//======================================================================= // 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 #include //for tie #include #include #include #include #include #include #include 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__