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			414 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | // | ||
|  | //======================================================================= | ||
|  | // Copyright 1997, 1998, 1999, 2000 University of Notre Dame. | ||
|  | // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek | ||
|  | // | ||
|  | // 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 BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP | ||
|  | #define BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP | ||
|  | 
 | ||
|  | /* | ||
|  |   Breadth First Search Algorithm (Cormen, Leiserson, and Rivest p. 470) | ||
|  | */ | ||
|  | #include <boost/config.hpp> | ||
|  | #include <vector> | ||
|  | #include <boost/pending/queue.hpp> | ||
|  | #include <boost/graph/graph_traits.hpp> | ||
|  | #include <boost/graph/graph_concepts.hpp> | ||
|  | #include <boost/graph/visitors.hpp> | ||
|  | #include <boost/graph/named_function_params.hpp> | ||
|  | #include <boost/graph/overloading.hpp> | ||
|  | #include <boost/graph/graph_concepts.hpp> | ||
|  | #include <boost/graph/two_bit_color_map.hpp> | ||
|  | #include <boost/concept/assert.hpp> | ||
|  | 
 | ||
|  | #ifdef BOOST_GRAPH_USE_MPI | ||
|  | #include <boost/graph/distributed/concepts.hpp> | ||
|  | #endif // BOOST_GRAPH_USE_MPI | ||
|  | 
 | ||
|  | namespace boost { | ||
|  | 
 | ||
|  |   template <class Visitor, class Graph> | ||
|  |   struct BFSVisitorConcept { | ||
|  |     void constraints() { | ||
|  |       BOOST_CONCEPT_ASSERT(( CopyConstructibleConcept<Visitor> )); | ||
|  |       vis.initialize_vertex(u, g); | ||
|  |       vis.discover_vertex(u, g); | ||
|  |       vis.examine_vertex(u, g); | ||
|  |       vis.examine_edge(e, g); | ||
|  |       vis.tree_edge(e, g); | ||
|  |       vis.non_tree_edge(e, g); | ||
|  |       vis.gray_target(e, g); | ||
|  |       vis.black_target(e, g); | ||
|  |       vis.finish_vertex(u, g); | ||
|  |     } | ||
|  |     Visitor vis; | ||
|  |     Graph g; | ||
|  |     typename graph_traits<Graph>::vertex_descriptor u; | ||
|  |     typename graph_traits<Graph>::edge_descriptor e; | ||
|  |   }; | ||
|  | 
 | ||
|  | 
 | ||
|  |   // Multiple-source version | ||
|  |   template <class IncidenceGraph, class Buffer, class BFSVisitor, | ||
|  |             class ColorMap, class SourceIterator> | ||
|  |   void breadth_first_visit | ||
|  |     (const IncidenceGraph& g, | ||
|  |      SourceIterator sources_begin, SourceIterator sources_end, | ||
|  |      Buffer& Q, BFSVisitor vis, ColorMap color) | ||
|  |   { | ||
|  |     BOOST_CONCEPT_ASSERT(( IncidenceGraphConcept<IncidenceGraph> )); | ||
|  |     typedef graph_traits<IncidenceGraph> GTraits; | ||
|  |     typedef typename GTraits::vertex_descriptor Vertex; | ||
|  |     BOOST_CONCEPT_ASSERT(( BFSVisitorConcept<BFSVisitor, IncidenceGraph> )); | ||
|  |     BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<ColorMap, Vertex> )); | ||
|  |     typedef typename property_traits<ColorMap>::value_type ColorValue; | ||
|  |     typedef color_traits<ColorValue> Color; | ||
|  |     typename GTraits::out_edge_iterator ei, ei_end; | ||
|  | 
 | ||
|  |     for (; sources_begin != sources_end; ++sources_begin) { | ||
|  |       Vertex s = *sources_begin; | ||
|  |       put(color, s, Color::gray());           vis.discover_vertex(s, g); | ||
|  |       Q.push(s); | ||
|  |     } | ||
|  |     while (! Q.empty()) { | ||
|  |       Vertex u = Q.top(); Q.pop();            vis.examine_vertex(u, g); | ||
|  |       for (boost::tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) { | ||
|  |         Vertex v = target(*ei, g);            vis.examine_edge(*ei, g); | ||
|  |         ColorValue v_color = get(color, v); | ||
|  |         if (v_color == Color::white()) {      vis.tree_edge(*ei, g); | ||
|  |           put(color, v, Color::gray());       vis.discover_vertex(v, g); | ||
|  |           Q.push(v); | ||
|  |         } else {                              vis.non_tree_edge(*ei, g); | ||
|  |           if (v_color == Color::gray())       vis.gray_target(*ei, g); | ||
|  |           else                                vis.black_target(*ei, g); | ||
|  |         } | ||
|  |       } // end for | ||
|  |       put(color, u, Color::black());          vis.finish_vertex(u, g); | ||
|  |     } // end while | ||
|  |   } // breadth_first_visit | ||
|  | 
 | ||
|  |   // Single-source version | ||
|  |   template <class IncidenceGraph, class Buffer, class BFSVisitor, | ||
|  |             class ColorMap> | ||
|  |   void breadth_first_visit | ||
|  |     (const IncidenceGraph& g, | ||
|  |      typename graph_traits<IncidenceGraph>::vertex_descriptor s, | ||
|  |      Buffer& Q, BFSVisitor vis, ColorMap color) | ||
|  |   { | ||
|  |     typename graph_traits<IncidenceGraph>::vertex_descriptor sources[1] = {s}; | ||
|  |     breadth_first_visit(g, sources, sources + 1, Q, vis, color); | ||
|  |   } | ||
|  | 
 | ||
|  | 
 | ||
|  |   template <class VertexListGraph, class SourceIterator, | ||
|  |             class Buffer, class BFSVisitor, | ||
|  |             class ColorMap> | ||
|  |   void breadth_first_search | ||
|  |     (const VertexListGraph& g, | ||
|  |      SourceIterator sources_begin, SourceIterator sources_end, | ||
|  |      Buffer& Q, BFSVisitor vis, ColorMap color) | ||
|  |   { | ||
|  |     // Initialization | ||
|  |     typedef typename property_traits<ColorMap>::value_type ColorValue; | ||
|  |     typedef color_traits<ColorValue> Color; | ||
|  |     typename boost::graph_traits<VertexListGraph>::vertex_iterator i, i_end; | ||
|  |     for (boost::tie(i, i_end) = vertices(g); i != i_end; ++i) { | ||
|  |       vis.initialize_vertex(*i, g); | ||
|  |       put(color, *i, Color::white()); | ||
|  |     } | ||
|  |     breadth_first_visit(g, sources_begin, sources_end, Q, vis, color); | ||
|  |   } | ||
|  | 
 | ||
|  |   template <class VertexListGraph, class Buffer, class BFSVisitor, | ||
|  |             class ColorMap> | ||
|  |   void breadth_first_search | ||
|  |     (const VertexListGraph& g, | ||
|  |      typename graph_traits<VertexListGraph>::vertex_descriptor s, | ||
|  |      Buffer& Q, BFSVisitor vis, ColorMap color) | ||
|  |   { | ||
|  |     typename graph_traits<VertexListGraph>::vertex_descriptor sources[1] = {s}; | ||
|  |     breadth_first_search(g, sources, sources + 1, Q, vis, color); | ||
|  |   } | ||
|  | 
 | ||
|  |   namespace graph { struct bfs_visitor_event_not_overridden {}; } | ||
|  | 
 | ||
|  | 
 | ||
|  |   template <class Visitors = null_visitor> | ||
|  |   class bfs_visitor { | ||
|  |   public: | ||
|  |     bfs_visitor() { } | ||
|  |     bfs_visitor(Visitors vis) : m_vis(vis) { } | ||
|  | 
 | ||
|  |     template <class Vertex, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     initialize_vertex(Vertex u, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, u, g, ::boost::on_initialize_vertex()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Vertex, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     discover_vertex(Vertex u, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, u, g, ::boost::on_discover_vertex()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Vertex, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     examine_vertex(Vertex u, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, u, g, ::boost::on_examine_vertex()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Edge, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     examine_edge(Edge e, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, e, g, ::boost::on_examine_edge()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Edge, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     tree_edge(Edge e, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, e, g, ::boost::on_tree_edge()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Edge, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     non_tree_edge(Edge e, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, e, g, ::boost::on_non_tree_edge()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Edge, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     gray_target(Edge e, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, e, g, ::boost::on_gray_target()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Edge, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     black_target(Edge e, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, e, g, ::boost::on_black_target()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     template <class Vertex, class Graph> | ||
|  |     graph::bfs_visitor_event_not_overridden | ||
|  |     finish_vertex(Vertex u, Graph& g) | ||
|  |     { | ||
|  |       invoke_visitors(m_vis, u, g, ::boost::on_finish_vertex()); | ||
|  |       return graph::bfs_visitor_event_not_overridden(); | ||
|  |     } | ||
|  | 
 | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_initialize_vertex,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_discover_vertex,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_examine_vertex,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_examine_edge,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_tree_edge,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_non_tree_edge,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_gray_target,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_black_target,bfs) | ||
|  |     BOOST_GRAPH_EVENT_STUB(on_finish_vertex,bfs) | ||
|  | 
 | ||
|  |   protected: | ||
|  |     Visitors m_vis; | ||
|  |   }; | ||
|  |   template <class Visitors> | ||
|  |   bfs_visitor<Visitors> | ||
|  |   make_bfs_visitor(Visitors vis) { | ||
|  |     return bfs_visitor<Visitors>(vis); | ||
|  |   } | ||
|  |   typedef bfs_visitor<> default_bfs_visitor; | ||
|  | 
 | ||
|  | 
 | ||
|  |   namespace detail { | ||
|  | 
 | ||
|  |     template <class VertexListGraph, class ColorMap, class BFSVisitor, | ||
|  |       class P, class T, class R> | ||
|  |     void bfs_helper | ||
|  |       (VertexListGraph& g, | ||
|  |        typename graph_traits<VertexListGraph>::vertex_descriptor s, | ||
|  |        ColorMap color, | ||
|  |        BFSVisitor vis, | ||
|  |        const bgl_named_params<P, T, R>& params, | ||
|  |        boost::mpl::false_) | ||
|  |     { | ||
|  |       typedef graph_traits<VertexListGraph> Traits; | ||
|  |       // Buffer default | ||
|  |       typedef typename Traits::vertex_descriptor Vertex; | ||
|  |       typedef boost::queue<Vertex> queue_t; | ||
|  |       queue_t Q; | ||
|  |       breadth_first_search | ||
|  |         (g, s, | ||
|  |          choose_param(get_param(params, buffer_param_t()), boost::ref(Q)).get(), | ||
|  |          vis, color); | ||
|  |     } | ||
|  | 
 | ||
|  | #ifdef BOOST_GRAPH_USE_MPI | ||
|  |     template <class DistributedGraph, class ColorMap, class BFSVisitor, | ||
|  |               class P, class T, class R> | ||
|  |     void bfs_helper | ||
|  |       (DistributedGraph& g, | ||
|  |        typename graph_traits<DistributedGraph>::vertex_descriptor s, | ||
|  |        ColorMap color, | ||
|  |        BFSVisitor vis, | ||
|  |        const bgl_named_params<P, T, R>& params, | ||
|  |        boost::mpl::true_); | ||
|  | #endif // BOOST_GRAPH_USE_MPI | ||
|  | 
 | ||
|  |     //------------------------------------------------------------------------- | ||
|  |     // Choose between default color and color parameters. Using | ||
|  |     // function dispatching so that we don't require vertex index if | ||
|  |     // the color default is not being used. | ||
|  | 
 | ||
|  |     template <class ColorMap> | ||
|  |     struct bfs_dispatch { | ||
|  |       template <class VertexListGraph, class P, class T, class R> | ||
|  |       static void apply | ||
|  |       (VertexListGraph& g, | ||
|  |        typename graph_traits<VertexListGraph>::vertex_descriptor s, | ||
|  |        const bgl_named_params<P, T, R>& params, | ||
|  |        ColorMap color) | ||
|  |       { | ||
|  |         bfs_helper | ||
|  |           (g, s, color, | ||
|  |            choose_param(get_param(params, graph_visitor), | ||
|  |                         make_bfs_visitor(null_visitor())), | ||
|  |            params, | ||
|  |            boost::mpl::bool_< | ||
|  |              boost::is_base_and_derived< | ||
|  |                distributed_graph_tag, | ||
|  |                typename graph_traits<VertexListGraph>::traversal_category>::value>()); | ||
|  |       } | ||
|  |     }; | ||
|  | 
 | ||
|  |     template <> | ||
|  |     struct bfs_dispatch<param_not_found> { | ||
|  |       template <class VertexListGraph, class P, class T, class R> | ||
|  |       static void apply | ||
|  |       (VertexListGraph& g, | ||
|  |        typename graph_traits<VertexListGraph>::vertex_descriptor s, | ||
|  |        const bgl_named_params<P, T, R>& params, | ||
|  |        param_not_found) | ||
|  |       { | ||
|  |         null_visitor null_vis; | ||
|  | 
 | ||
|  |         bfs_helper | ||
|  |           (g, s, | ||
|  |            make_two_bit_color_map | ||
|  |            (num_vertices(g), | ||
|  |             choose_const_pmap(get_param(params, vertex_index), | ||
|  |                               g, vertex_index)), | ||
|  |            choose_param(get_param(params, graph_visitor), | ||
|  |                         make_bfs_visitor(null_vis)), | ||
|  |            params, | ||
|  |            boost::mpl::bool_< | ||
|  |              boost::is_base_and_derived< | ||
|  |                distributed_graph_tag, | ||
|  |                typename graph_traits<VertexListGraph>::traversal_category>::value>()); | ||
|  |       } | ||
|  |     }; | ||
|  | 
 | ||
|  |   } // namespace detail | ||
|  | 
 | ||
|  | #if 1 | ||
|  |   // Named Parameter Variant | ||
|  |   template <class VertexListGraph, class P, class T, class R> | ||
|  |   void breadth_first_search | ||
|  |     (const VertexListGraph& g, | ||
|  |      typename graph_traits<VertexListGraph>::vertex_descriptor s, | ||
|  |      const bgl_named_params<P, T, R>& params) | ||
|  |   { | ||
|  |     // The graph is passed by *const* reference so that graph adaptors | ||
|  |     // (temporaries) can be passed into this function. However, the | ||
|  |     // graph is not really const since we may write to property maps | ||
|  |     // of the graph. | ||
|  |     VertexListGraph& ng = const_cast<VertexListGraph&>(g); | ||
|  |     typedef typename get_param_type< vertex_color_t, bgl_named_params<P,T,R> >::type C; | ||
|  |     detail::bfs_dispatch<C>::apply(ng, s, params, | ||
|  |                                    get_param(params, vertex_color)); | ||
|  |   } | ||
|  | #endif | ||
|  | 
 | ||
|  | 
 | ||
|  |   // This version does not initialize colors, user has to. | ||
|  | 
 | ||
|  |   template <class IncidenceGraph, class P, class T, class R> | ||
|  |   void breadth_first_visit | ||
|  |     (const IncidenceGraph& g, | ||
|  |      typename graph_traits<IncidenceGraph>::vertex_descriptor s, | ||
|  |      const bgl_named_params<P, T, R>& params) | ||
|  |   { | ||
|  |     // The graph is passed by *const* reference so that graph adaptors | ||
|  |     // (temporaries) can be passed into this function. However, the | ||
|  |     // graph is not really const since we may write to property maps | ||
|  |     // of the graph. | ||
|  |     IncidenceGraph& ng = const_cast<IncidenceGraph&>(g); | ||
|  | 
 | ||
|  |     typedef graph_traits<IncidenceGraph> Traits; | ||
|  |     // Buffer default | ||
|  |     typedef typename Traits::vertex_descriptor vertex_descriptor; | ||
|  |     typedef boost::queue<vertex_descriptor> queue_t; | ||
|  |     queue_t Q; | ||
|  | 
 | ||
|  |     breadth_first_visit | ||
|  |       (ng, s, | ||
|  |        choose_param(get_param(params, buffer_param_t()), boost::ref(Q)).get(), | ||
|  |        choose_param(get_param(params, graph_visitor), | ||
|  |                     make_bfs_visitor(null_visitor())), | ||
|  |        choose_pmap(get_param(params, vertex_color), ng, vertex_color) | ||
|  |        ); | ||
|  |   } | ||
|  | 
 | ||
|  |   namespace graph { | ||
|  |     namespace detail { | ||
|  |       template <typename Graph, typename Source> | ||
|  |       struct breadth_first_search_impl { | ||
|  |         typedef void result_type; | ||
|  |         template <typename ArgPack> | ||
|  |         void operator()(const Graph& g, const Source& source, const ArgPack& arg_pack) { | ||
|  |           using namespace boost::graph::keywords; | ||
|  |           typename boost::graph_traits<Graph>::vertex_descriptor sources[1] = {source}; | ||
|  |           boost::queue<typename boost::graph_traits<Graph>::vertex_descriptor> Q; | ||
|  |           boost::breadth_first_search(g, | ||
|  |                                       &sources[0], | ||
|  |                                       &sources[1],  | ||
|  |                                       boost::unwrap_ref(arg_pack[_buffer | boost::ref(Q)]), | ||
|  |                                       arg_pack[_visitor | make_bfs_visitor(null_visitor())], | ||
|  |                                       boost::detail::make_color_map_from_arg_pack(g, arg_pack)); | ||
|  |         } | ||
|  |       }; | ||
|  |     } | ||
|  |     BOOST_GRAPH_MAKE_FORWARDING_FUNCTION(breadth_first_search, 2, 4) | ||
|  |   } | ||
|  | 
 | ||
|  | #if 0 | ||
|  |   // Named Parameter Variant | ||
|  |   BOOST_GRAPH_MAKE_OLD_STYLE_PARAMETER_FUNCTION(breadth_first_search, 2) | ||
|  | #endif | ||
|  | 
 | ||
|  | } // namespace boost | ||
|  | 
 | ||
|  | #ifdef BOOST_GRAPH_USE_MPI | ||
|  | #  include <boost/graph/distributed/breadth_first_search.hpp> | ||
|  | #endif | ||
|  | 
 | ||
|  | #endif // BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP | ||
|  | 
 |