author | Pat Downey <patd@symbian.org> |
Tue, 13 Jul 2010 17:51:34 +0100 | |
branch | RCL_3 |
changeset 43 | 97e3c206731f |
parent 0 | e4d67989cc36 |
permissions | -rw-r--r-- |
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//======================================================================= |
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// Copyright 1997, 1998, 1999, 2000 University of Notre Dame. |
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// Copyright 2004, 2005 Trustees of Indiana University |
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// Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek, |
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// Doug Gregor, D. Kevin McGrath |
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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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#ifndef BOOST_GRAPH_CUTHILL_MCKEE_HPP |
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#define BOOST_GRAPH_CUTHILL_MCKEE_HPP |
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#include <boost/config.hpp> |
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#include <boost/graph/detail/sparse_ordering.hpp> |
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#include <algorithm> |
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/* |
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(Reverse) Cuthill-McKee Algorithm for matrix reordering |
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*/ |
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namespace boost { |
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namespace detail { |
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template < typename OutputIterator, typename Buffer, typename DegreeMap > |
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class bfs_rcm_visitor:public default_bfs_visitor |
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{ |
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public: |
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bfs_rcm_visitor(OutputIterator *iter, Buffer *b, DegreeMap deg): |
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permutation(iter), Qptr(b), degree(deg) { } |
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template <class Vertex, class Graph> |
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void examine_vertex(Vertex u, Graph&) { |
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*(*permutation)++ = u; |
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index_begin = Qptr->size(); |
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} |
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template <class Vertex, class Graph> |
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void finish_vertex(Vertex, Graph&) { |
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using std::sort; |
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typedef typename property_traits<DegreeMap>::value_type ds_type; |
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typedef indirect_cmp<DegreeMap, std::less<ds_type> > Compare; |
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Compare comp(degree); |
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sort(Qptr->begin()+index_begin, Qptr->end(), comp); |
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} |
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protected: |
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OutputIterator *permutation; |
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int index_begin; |
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Buffer *Qptr; |
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DegreeMap degree; |
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}; |
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} // namespace detail |
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// Reverse Cuthill-McKee algorithm with a given starting Vertex. |
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// |
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// If user provides a reverse iterator, this will be a reverse-cuthill-mckee |
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// algorithm, otherwise it will be a standard CM algorithm |
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template <class Graph, class OutputIterator, |
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class ColorMap, class DegreeMap> |
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OutputIterator |
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cuthill_mckee_ordering(const Graph& g, |
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std::deque< typename |
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graph_traits<Graph>::vertex_descriptor > vertex_queue, |
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OutputIterator permutation, |
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ColorMap color, DegreeMap degree) |
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{ |
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//create queue, visitor...don't forget namespaces! |
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typedef typename property_traits<DegreeMap>::value_type ds_type; |
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typedef typename graph_traits<Graph>::vertex_descriptor Vertex; |
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typedef typename boost::sparse::sparse_ordering_queue<Vertex> queue; |
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typedef typename detail::bfs_rcm_visitor<OutputIterator, queue, DegreeMap> Visitor; |
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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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queue Q; |
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//create a bfs_rcm_visitor as defined above |
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Visitor vis(&permutation, &Q, degree); |
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typename graph_traits<Graph>::vertex_iterator ui, ui_end; |
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// Copy degree to pseudo_degree |
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// initialize the color map |
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for (tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui){ |
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put(color, *ui, Color::white()); |
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} |
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while( !vertex_queue.empty() ) { |
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Vertex s = vertex_queue.front(); |
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vertex_queue.pop_front(); |
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//call BFS with visitor |
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breadth_first_visit(g, s, Q, vis, color); |
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} |
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return permutation; |
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} |
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// This is the case where only a single starting vertex is supplied. |
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template <class Graph, class OutputIterator, |
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class ColorMap, class DegreeMap> |
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OutputIterator |
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cuthill_mckee_ordering(const Graph& g, |
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typename graph_traits<Graph>::vertex_descriptor s, |
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OutputIterator permutation, |
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ColorMap color, DegreeMap degree) |
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{ |
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std::deque< typename graph_traits<Graph>::vertex_descriptor > vertex_queue; |
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vertex_queue.push_front( s ); |
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return cuthill_mckee_ordering(g, vertex_queue, permutation, color, degree); |
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} |
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// This is the version of CM which selects its own starting vertex |
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template < class Graph, class OutputIterator, |
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class ColorMap, class DegreeMap> |
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OutputIterator |
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cuthill_mckee_ordering(const Graph& G, OutputIterator permutation, |
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ColorMap color, DegreeMap degree) |
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{ |
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if (vertices(G).first == vertices(G).second) |
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return permutation; |
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typedef typename boost::graph_traits<Graph>::vertex_descriptor Vertex; |
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typedef typename boost::graph_traits<Graph>::vertex_iterator VerIter; |
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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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std::deque<Vertex> vertex_queue; |
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// Mark everything white |
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BGL_FORALL_VERTICES_T(v, G, Graph) put(color, v, Color::white()); |
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// Find one vertex from each connected component |
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BGL_FORALL_VERTICES_T(v, G, Graph) { |
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if (get(color, v) == Color::white()) { |
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depth_first_visit(G, v, dfs_visitor<>(), color); |
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vertex_queue.push_back(v); |
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} |
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} |
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// Find starting nodes for all vertices |
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// TBD: How to do this with a directed graph? |
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for (typename std::deque<Vertex>::iterator i = vertex_queue.begin(); |
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i != vertex_queue.end(); ++i) |
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*i = find_starting_node(G, *i, color, degree); |
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|
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return cuthill_mckee_ordering(G, vertex_queue, permutation, |
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color, degree); |
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} |
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template<typename Graph, typename OutputIterator, typename VertexIndexMap> |
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OutputIterator |
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cuthill_mckee_ordering(const Graph& G, OutputIterator permutation, |
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VertexIndexMap index_map) |
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{ |
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if (vertices(G).first == vertices(G).second) |
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return permutation; |
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|
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typedef out_degree_property_map<Graph> DegreeMap; |
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std::vector<default_color_type> colors(num_vertices(G)); |
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return cuthill_mckee_ordering(G, permutation, |
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make_iterator_property_map(&colors[0], |
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index_map, |
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colors[0]), |
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make_out_degree_map(G)); |
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} |
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template<typename Graph, typename OutputIterator> |
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inline OutputIterator |
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cuthill_mckee_ordering(const Graph& G, OutputIterator permutation) |
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{ return cuthill_mckee_ordering(G, permutation, get(vertex_index, G)); } |
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} // namespace boost |
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#endif // BOOST_GRAPH_CUTHILL_MCKEE_HPP |