boost/graph/topological_sort.hpp

//
//=======================================================================
// 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_TOPOLOGICAL_SORT_HPP
#define BOOST_GRAPH_TOPOLOGICAL_SORT_HPP

#include <boost/config.hpp>
#include <boost/property_map/property_map.hpp>
#include <boost/graph/depth_first_search.hpp>
#include <boost/graph/visitors.hpp>
#include <boost/graph/exception.hpp>

namespace boost { 


  // Topological sort visitor
  //
  // This visitor merely writes the linear ordering into an
  // OutputIterator. The OutputIterator could be something like an
  // ostream_iterator, or it could be a back/front_insert_iterator.
  // Note that if it is a back_insert_iterator, the recorded order is
  // the reverse topological order. On the other hand, if it is a
  // front_insert_iterator, the recorded order is the topological
  // order.
  //
  template <typename OutputIterator>
  struct topo_sort_visitor : public dfs_visitor<>
  {
    topo_sort_visitor(OutputIterator _iter)
      : m_iter(_iter) { }
    
    template <typename Edge, typename Graph>
    void back_edge(const Edge&, Graph&) { throw not_a_dag(); }
    
    template <typename Vertex, typename Graph> 
    void finish_vertex(const Vertex& u, Graph&) { *m_iter++ = u; }
    
    OutputIterator m_iter;
  };


  // Topological Sort
  //
  // The topological sort algorithm creates a linear ordering
  // of the vertices such that if edge (u,v) appears in the graph,
  // then u comes before v in the ordering. The graph must
  // be a directed acyclic graph (DAG). The implementation
  // consists mainly of a call to depth-first search.
  //

  template <typename VertexListGraph, typename OutputIterator,
    typename P, typename T, typename R>
  void topological_sort(VertexListGraph& g, OutputIterator result,
                        const bgl_named_params<P, T, R>& params)
  {
    typedef topo_sort_visitor<OutputIterator> TopoVisitor;
    depth_first_search(g, params.visitor(TopoVisitor(result)));
  }

  template <typename VertexListGraph, typename OutputIterator>
  void topological_sort(VertexListGraph& g, OutputIterator result)
  {
    topological_sort(g, result, 
                     bgl_named_params<int, buffer_param_t>(0)); // bogus
  }

} // namespace boost

#endif /*BOOST_GRAPH_TOPOLOGICAL_SORT_H*/

Boost C++ Libraries

boost/graph/topological_sort.hpp