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successive_shortest_path_nonnegative_weights.hpp
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//======================================================================= // Copyright 2013 University of Warsaw. // Authors: Piotr Wygocki // // 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) //======================================================================= // // This algorithm is described in "Network Flows: Theory, Algorithms, and // Applications" // by Ahuja, Magnanti, Orlin. #ifndef BOOST_GRAPH_SUCCESSIVE_SHORTEST_PATH_HPP #define BOOST_GRAPH_SUCCESSIVE_SHORTEST_PATH_HPP #include <numeric> #include <boost/property_map/property_map.hpp> #include <boost/graph/graph_traits.hpp> #include <boost/graph/graph_concepts.hpp> #include <boost/pending/indirect_cmp.hpp> #include <boost/graph/dijkstra_shortest_paths.hpp> #include <boost/graph/properties.hpp> #include <boost/graph/iteration_macros.hpp> #include <boost/graph/detail/augment.hpp> namespace boost { namespace detail { template < class Graph, class Weight, class Distance, class Reversed > class MapReducedWeight : public put_get_helper< typename property_traits< Weight >::value_type, MapReducedWeight< Graph, Weight, Distance, Reversed > > { typedef graph_traits< Graph > gtraits; public: typedef boost::readable_property_map_tag category; typedef typename property_traits< Weight >::value_type value_type; typedef value_type reference; typedef typename gtraits::edge_descriptor key_type; MapReducedWeight(const Graph& g, Weight w, Distance d, Reversed r) : g_(g), weight_(w), distance_(d), rev_(r) { } reference operator[](key_type v) const { return get(distance_, source(v, g_)) - get(distance_, target(v, g_)) + get(weight_, v); } private: const Graph& g_; Weight weight_; Distance distance_; Reversed rev_; }; template < class Graph, class Weight, class Distance, class Reversed > MapReducedWeight< Graph, Weight, Distance, Reversed > make_mapReducedWeight( const Graph& g, Weight w, Distance d, Reversed r) { return MapReducedWeight< Graph, Weight, Distance, Reversed >( g, w, d, r); } } // detail template < class Graph, class Capacity, class ResidualCapacity, class Reversed, class Pred, class Weight, class Distance, class Distance2, class VertexIndex > void successive_shortest_path_nonnegative_weights(const Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, Pred pred, Distance distance, Distance2 distance_prev) { filtered_graph< const Graph, is_residual_edge< ResidualCapacity > > gres = detail::residual_graph(g, residual_capacity); typedef typename graph_traits< Graph >::edge_descriptor edge_descriptor; BGL_FORALL_EDGES_T(e, g, Graph) { put(residual_capacity, e, get(capacity, e)); } BGL_FORALL_VERTICES_T(v, g, Graph) { put(distance_prev, v, 0); } while (true) { BGL_FORALL_VERTICES_T(v, g, Graph) { put(pred, v, edge_descriptor()); } dijkstra_shortest_paths(gres, s, weight_map( detail::make_mapReducedWeight(gres, weight, distance_prev, rev)) .distance_map(distance) .vertex_index_map(index) .visitor(make_dijkstra_visitor( record_edge_predecessors(pred, on_edge_relaxed())))); if (get(pred, t) == edge_descriptor()) { break; } BGL_FORALL_VERTICES_T(v, g, Graph) { put(distance_prev, v, get(distance_prev, v) + get(distance, v)); } detail::augment(g, s, t, pred, residual_capacity, rev); } } // in this namespace argument dispatching tak place namespace detail { template < class Graph, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class Distance, class Distance2, class VertexIndex > void successive_shortest_path_nonnegative_weights_dispatch3(const Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, Pred pred, Distance dist, Distance2 dist_pred) { successive_shortest_path_nonnegative_weights(g, s, t, capacity, residual_capacity, weight, rev, index, pred, dist, dist_pred); } // setting default distance map template < class Graph, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class Distance, class VertexIndex > void successive_shortest_path_nonnegative_weights_dispatch3(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, Pred pred, Distance dist, param_not_found) { typedef typename property_traits< Weight >::value_type D; std::vector< D > d_map(num_vertices(g)); successive_shortest_path_nonnegative_weights(g, s, t, capacity, residual_capacity, weight, rev, index, pred, dist, make_iterator_property_map(d_map.begin(), index)); } template < class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class Distance, class VertexIndex > void successive_shortest_path_nonnegative_weights_dispatch2(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, Pred pred, Distance dist, const bgl_named_params< P, T, R >& params) { successive_shortest_path_nonnegative_weights_dispatch3(g, s, t, capacity, residual_capacity, weight, rev, index, pred, dist, get_param(params, vertex_distance2)); } // setting default distance map template < class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class VertexIndex > void successive_shortest_path_nonnegative_weights_dispatch2(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, Pred pred, param_not_found, const bgl_named_params< P, T, R >& params) { typedef typename property_traits< Weight >::value_type D; std::vector< D > d_map(num_vertices(g)); successive_shortest_path_nonnegative_weights_dispatch3(g, s, t, capacity, residual_capacity, weight, rev, index, pred, make_iterator_property_map(d_map.begin(), index), get_param(params, vertex_distance2)); } template < class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class VertexIndex > void successive_shortest_path_nonnegative_weights_dispatch1(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, Pred pred, const bgl_named_params< P, T, R >& params) { successive_shortest_path_nonnegative_weights_dispatch2(g, s, t, capacity, residual_capacity, weight, rev, index, pred, get_param(params, vertex_distance), params); } // setting default predecessors map template < class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class VertexIndex > void successive_shortest_path_nonnegative_weights_dispatch1(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, Capacity capacity, ResidualCapacity residual_capacity, Weight weight, Reversed rev, VertexIndex index, param_not_found, const bgl_named_params< P, T, R >& params) { typedef typename graph_traits< Graph >::edge_descriptor edge_descriptor; std::vector< edge_descriptor > pred_vec(num_vertices(g)); successive_shortest_path_nonnegative_weights_dispatch2(g, s, t, capacity, residual_capacity, weight, rev, index, make_iterator_property_map(pred_vec.begin(), index), get_param(params, vertex_distance), params); } } // detail template < class Graph, class P, class T, class R > void successive_shortest_path_nonnegative_weights(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t, const bgl_named_params< P, T, R >& params) { return detail::successive_shortest_path_nonnegative_weights_dispatch1(g, s, t, choose_const_pmap(get_param(params, edge_capacity), g, edge_capacity), choose_pmap(get_param(params, edge_residual_capacity), g, edge_residual_capacity), choose_const_pmap(get_param(params, edge_weight), g, edge_weight), choose_const_pmap(get_param(params, edge_reverse), g, edge_reverse), choose_const_pmap(get_param(params, vertex_index), g, vertex_index), get_param(params, vertex_predecessor), params); } template < class Graph > void successive_shortest_path_nonnegative_weights(Graph& g, typename graph_traits< Graph >::vertex_descriptor s, typename graph_traits< Graph >::vertex_descriptor t) { bgl_named_params< int, buffer_param_t > params(0); successive_shortest_path_nonnegative_weights(g, s, t, params); } } // boost #endif /* BOOST_GRAPH_SUCCESSIVE_SHORTEST_PATH_HPP */