414 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			414 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
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								//
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								//=======================================================================
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								// Copyright 1997, 1998, 1999, 2000 University of Notre Dame.
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								// Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek
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								//
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								// Distributed under the Boost Software License, Version 1.0. (See
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								// accompanying file LICENSE_1_0.txt or copy at
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								// http://www.boost.org/LICENSE_1_0.txt)
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								//=======================================================================
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								//
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								#ifndef BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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								#define BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP
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								/*
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								  Breadth First Search Algorithm (Cormen, Leiserson, and Rivest p. 470)
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								*/
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								#include <boost/config.hpp>
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								#include <vector>
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								#include <boost/pending/queue.hpp>
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								#include <boost/graph/graph_traits.hpp>
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								#include <boost/graph/graph_concepts.hpp>
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								#include <boost/graph/visitors.hpp>
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								#include <boost/graph/named_function_params.hpp>
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								#include <boost/graph/overloading.hpp>
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								#include <boost/graph/graph_concepts.hpp>
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								#include <boost/graph/two_bit_color_map.hpp>
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								#include <boost/concept/assert.hpp>
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								#ifdef BOOST_GRAPH_USE_MPI
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								#include <boost/graph/distributed/concepts.hpp>
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								#endif // BOOST_GRAPH_USE_MPI
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								namespace boost {
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								  template <class Visitor, class Graph>
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								  struct BFSVisitorConcept {
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								    void constraints() {
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								      BOOST_CONCEPT_ASSERT(( CopyConstructibleConcept<Visitor> ));
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								      vis.initialize_vertex(u, g);
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								      vis.discover_vertex(u, g);
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								      vis.examine_vertex(u, g);
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								      vis.examine_edge(e, g);
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								      vis.tree_edge(e, g);
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								      vis.non_tree_edge(e, g);
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								      vis.gray_target(e, g);
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								      vis.black_target(e, g);
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								      vis.finish_vertex(u, g);
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								    }
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								    Visitor vis;
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								    Graph g;
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								    typename graph_traits<Graph>::vertex_descriptor u;
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								    typename graph_traits<Graph>::edge_descriptor e;
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								  };
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								  // Multiple-source version
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								  template <class IncidenceGraph, class Buffer, class BFSVisitor,
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								            class ColorMap, class SourceIterator>
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								  void breadth_first_visit
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								    (const IncidenceGraph& g,
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								     SourceIterator sources_begin, SourceIterator sources_end,
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								     Buffer& Q, BFSVisitor vis, ColorMap color)
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								  {
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								    BOOST_CONCEPT_ASSERT(( IncidenceGraphConcept<IncidenceGraph> ));
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								    typedef graph_traits<IncidenceGraph> GTraits;
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								    typedef typename GTraits::vertex_descriptor Vertex;
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								    BOOST_CONCEPT_ASSERT(( BFSVisitorConcept<BFSVisitor, IncidenceGraph> ));
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								    BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<ColorMap, Vertex> ));
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								    typedef typename property_traits<ColorMap>::value_type ColorValue;
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								    typedef color_traits<ColorValue> Color;
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								    typename GTraits::out_edge_iterator ei, ei_end;
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								    for (; sources_begin != sources_end; ++sources_begin) {
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								      Vertex s = *sources_begin;
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								      put(color, s, Color::gray());           vis.discover_vertex(s, g);
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								      Q.push(s);
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								    }
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								    while (! Q.empty()) {
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								      Vertex u = Q.top(); Q.pop();            vis.examine_vertex(u, g);
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								      for (boost::tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) {
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								        Vertex v = target(*ei, g);            vis.examine_edge(*ei, g);
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								        ColorValue v_color = get(color, v);
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								        if (v_color == Color::white()) {      vis.tree_edge(*ei, g);
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								          put(color, v, Color::gray());       vis.discover_vertex(v, g);
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								          Q.push(v);
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								        } else {                              vis.non_tree_edge(*ei, g);
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								          if (v_color == Color::gray())       vis.gray_target(*ei, g);
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								          else                                vis.black_target(*ei, g);
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								        }
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								      } // end for
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								      put(color, u, Color::black());          vis.finish_vertex(u, g);
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								    } // end while
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								  } // breadth_first_visit
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								  // Single-source version
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								  template <class IncidenceGraph, class Buffer, class BFSVisitor,
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								            class ColorMap>
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								  void breadth_first_visit
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								    (const IncidenceGraph& g,
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								     typename graph_traits<IncidenceGraph>::vertex_descriptor s,
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								     Buffer& Q, BFSVisitor vis, ColorMap color)
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								  {
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								    typename graph_traits<IncidenceGraph>::vertex_descriptor sources[1] = {s};
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								    breadth_first_visit(g, sources, sources + 1, Q, vis, color);
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								  }
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								  template <class VertexListGraph, class SourceIterator,
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								            class Buffer, class BFSVisitor,
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								            class ColorMap>
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								  void breadth_first_search
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								    (const VertexListGraph& g,
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								     SourceIterator sources_begin, SourceIterator sources_end,
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								     Buffer& Q, BFSVisitor vis, ColorMap color)
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								  {
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								    // Initialization
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								    typedef typename property_traits<ColorMap>::value_type ColorValue;
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								    typedef color_traits<ColorValue> Color;
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								    typename boost::graph_traits<VertexListGraph>::vertex_iterator i, i_end;
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								    for (boost::tie(i, i_end) = vertices(g); i != i_end; ++i) {
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								      vis.initialize_vertex(*i, g);
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								      put(color, *i, Color::white());
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								    }
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								    breadth_first_visit(g, sources_begin, sources_end, Q, vis, color);
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								  }
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								  template <class VertexListGraph, class Buffer, class BFSVisitor,
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								            class ColorMap>
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								  void breadth_first_search
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								    (const VertexListGraph& g,
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								     typename graph_traits<VertexListGraph>::vertex_descriptor s,
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								     Buffer& Q, BFSVisitor vis, ColorMap color)
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								  {
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								    typename graph_traits<VertexListGraph>::vertex_descriptor sources[1] = {s};
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								    breadth_first_search(g, sources, sources + 1, Q, vis, color);
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								  }
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								  namespace graph { struct bfs_visitor_event_not_overridden {}; }
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								  template <class Visitors = null_visitor>
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								  class bfs_visitor {
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								  public:
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								    bfs_visitor() { }
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								    bfs_visitor(Visitors vis) : m_vis(vis) { }
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								    template <class Vertex, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    initialize_vertex(Vertex u, Graph& g)
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								    {
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								      invoke_visitors(m_vis, u, g, ::boost::on_initialize_vertex());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Vertex, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    discover_vertex(Vertex u, Graph& g)
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								    {
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								      invoke_visitors(m_vis, u, g, ::boost::on_discover_vertex());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Vertex, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    examine_vertex(Vertex u, Graph& g)
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								    {
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								      invoke_visitors(m_vis, u, g, ::boost::on_examine_vertex());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Edge, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    examine_edge(Edge e, Graph& g)
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								    {
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								      invoke_visitors(m_vis, e, g, ::boost::on_examine_edge());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Edge, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    tree_edge(Edge e, Graph& g)
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								    {
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								      invoke_visitors(m_vis, e, g, ::boost::on_tree_edge());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Edge, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    non_tree_edge(Edge e, Graph& g)
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								    {
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								      invoke_visitors(m_vis, e, g, ::boost::on_non_tree_edge());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Edge, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    gray_target(Edge e, Graph& g)
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								    {
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								      invoke_visitors(m_vis, e, g, ::boost::on_gray_target());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Edge, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    black_target(Edge e, Graph& g)
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								    {
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								      invoke_visitors(m_vis, e, g, ::boost::on_black_target());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    template <class Vertex, class Graph>
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								    graph::bfs_visitor_event_not_overridden
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								    finish_vertex(Vertex u, Graph& g)
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								    {
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								      invoke_visitors(m_vis, u, g, ::boost::on_finish_vertex());
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								      return graph::bfs_visitor_event_not_overridden();
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								    }
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								    BOOST_GRAPH_EVENT_STUB(on_initialize_vertex,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_discover_vertex,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_examine_vertex,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_examine_edge,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_tree_edge,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_non_tree_edge,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_gray_target,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_black_target,bfs)
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								    BOOST_GRAPH_EVENT_STUB(on_finish_vertex,bfs)
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								  protected:
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								    Visitors m_vis;
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								  };
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								  template <class Visitors>
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								  bfs_visitor<Visitors>
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								  make_bfs_visitor(Visitors vis) {
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								    return bfs_visitor<Visitors>(vis);
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								  }
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								  typedef bfs_visitor<> default_bfs_visitor;
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								  namespace detail {
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								    template <class VertexListGraph, class ColorMap, class BFSVisitor,
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								      class P, class T, class R>
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								    void bfs_helper
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								      (VertexListGraph& g,
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								       typename graph_traits<VertexListGraph>::vertex_descriptor s,
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								       ColorMap color,
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								       BFSVisitor vis,
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								       const bgl_named_params<P, T, R>& params,
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								       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
							 | 
						||
| 
								 | 
							
								
							 |