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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 __IS_STRAIGHT_LINE_DRAWING_HPP__ #define __IS_STRAIGHT_LINE_DRAWING_HPP__ #include #include #include #include #include #include #include #include #include #include #include #include #include #include namespace boost { // Overload of make from Boost.Geometry. template Geometry make(typename graph_traits::edge_descriptor e, Graph const &g, GridPositionMap const &drawing) { auto e_source(source(e, g)); auto e_target(target(e, g)); using Float = typename geometry::coordinate_type::type; return {{numeric_cast(drawing[e_source].x), numeric_cast(drawing[e_source].y)}, {numeric_cast(drawing[e_target].x), numeric_cast(drawing[e_target].y)}}; } // Overload of crosses from Boost.Geometry. template bool crosses(typename graph_traits::edge_descriptor e, typename graph_traits::edge_descriptor f, Graph const &g, GridPositionMap const &drawing) { using geometry::crosses; using geometry::model::linestring; using geometry::model::d2::point_xy; using linestring2d = geometry::model::linestring>; return crosses(make(e, g, drawing), make(f, g, drawing)); } template < typename Graph, typename GridPositionMap, typename VertexIndexMap > bool is_straight_line_drawing( const Graph& g, GridPositionMap drawing, VertexIndexMap) { typedef typename graph_traits< Graph >::vertex_descriptor vertex_t; typedef typename graph_traits< Graph >::edge_descriptor edge_t; typedef typename graph_traits< Graph >::edge_iterator edge_iterator_t; typedef std::size_t x_coord_t; typedef std::size_t y_coord_t; typedef boost::tuple< edge_t, x_coord_t, y_coord_t > edge_event_t; typedef typename std::vector< edge_event_t > edge_event_queue_t; typedef tuple< y_coord_t, y_coord_t, x_coord_t, x_coord_t > active_map_key_t; typedef edge_t active_map_value_t; typedef std::map< active_map_key_t, active_map_value_t > active_map_t; typedef typename active_map_t::iterator active_map_iterator_t; edge_event_queue_t edge_event_queue; active_map_t active_edges; edge_iterator_t ei, ei_end; for (boost::tie(ei, ei_end) = edges(g); ei != ei_end; ++ei) { edge_t e(*ei); vertex_t s(source(e, g)); vertex_t t(target(e, g)); edge_event_queue.push_back( make_tuple(e, static_cast< std::size_t >(drawing[s].x), static_cast< std::size_t >(drawing[s].y))); edge_event_queue.push_back( make_tuple(e, static_cast< std::size_t >(drawing[t].x), static_cast< std::size_t >(drawing[t].y))); } // Order by edge_event_queue by first, then second coordinate // (bucket_sort is a stable sort.) bucket_sort(edge_event_queue.begin(), edge_event_queue.end(), property_map_tuple_adaptor< edge_event_t, 2 >()); bucket_sort(edge_event_queue.begin(), edge_event_queue.end(), property_map_tuple_adaptor< edge_event_t, 1 >()); typedef typename edge_event_queue_t::iterator event_queue_iterator_t; event_queue_iterator_t itr_end = edge_event_queue.end(); for (event_queue_iterator_t itr = edge_event_queue.begin(); itr != itr_end; ++itr) { edge_t e(get< 0 >(*itr)); vertex_t source_v(source(e, g)); vertex_t target_v(target(e, g)); if (drawing[source_v].y > drawing[target_v].y) std::swap(source_v, target_v); active_map_key_t key(get(drawing, source_v).y, get(drawing, target_v).y, get(drawing, source_v).x, get(drawing, target_v).x); active_map_iterator_t a_itr = active_edges.find(key); if (a_itr == active_edges.end()) { active_edges[key] = e; } else { active_map_iterator_t before, after; if (a_itr == active_edges.begin()) before = active_edges.end(); else before = prior(a_itr); after = boost::next(a_itr); if (before != active_edges.end()) { edge_t f = before->second; if (crosses(e, f, g, drawing)) return false; } if (after != active_edges.end()) { edge_t f = after->second; if (crosses(e, f, g, drawing)) return false; } active_edges.erase(a_itr); } } return true; } template < typename Graph, typename GridPositionMap > bool is_straight_line_drawing(const Graph& g, GridPositionMap drawing) { return is_straight_line_drawing(g, drawing, get(vertex_index, g)); } } #endif // __IS_STRAIGHT_LINE_DRAWING_HPP__