diff -r 666f914201fb -r 2fe1408b6811 epoc32/include/stdapis/boost/graph/sloan_ordering.hpp --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/epoc32/include/stdapis/boost/graph/sloan_ordering.hpp Tue Mar 16 16:12:26 2010 +0000 @@ -0,0 +1,448 @@ +// +//======================================================================= +// Copyright 2002 Marc Wintermantel (wintermantel@even-ag.ch) +// ETH Zurich, Center of Structure Technologies (www.imes.ethz.ch/st) +// +// 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_SLOAN_HPP +#define BOOST_GRAPH_SLOAN_HPP + +#define WEIGHT1 1 //default weight for the distance in the Sloan algorithm +#define WEIGHT2 2 //default weight for the degree in the Sloan algorithm +#define MAXINT 2147483647 //Maximum value for a 32bit integer + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + + +//////////////////////////////////////////////////////////// +// +//Sloan-Algorithm for graph reordering +//(optimzes profile and wavefront, not primiraly bandwidth +// +//////////////////////////////////////////////////////////// + +namespace boost { + + ///////////////////////////////////////////////////////////////////////// + // Function that returns the maximum depth of + // a rooted level strucutre (RLS) + // + ///////////////////////////////////////////////////////////////////////// + template + unsigned RLS_depth(Distance& d) + { + unsigned h_s = 0; + typename Distance::iterator iter; + + for (iter = d.begin(); iter != d.end(); ++iter) + { + if(*iter > h_s) + { + h_s = *iter; + } + } + + return h_s; + } + + + + ///////////////////////////////////////////////////////////////////////// + // Function that returns the width of the largest level of + // a rooted level strucutre (RLS) + // + ///////////////////////////////////////////////////////////////////////// + template + unsigned RLS_max_width(Distance& d, my_int depth) + { + + //Searching for the maximum width of a level + std::vector dummy_width(depth+1, 0); + std::vector::iterator my_it; + typename Distance::iterator iter; + unsigned w_max = 0; + + for (iter = d.begin(); iter != d.end(); ++iter) + { + dummy_width[*iter]++; + } + + for(my_it = dummy_width.begin(); my_it != dummy_width.end(); ++my_it) + { + if(*my_it > w_max) w_max = *my_it; + } + + return w_max; + + } + + + ///////////////////////////////////////////////////////////////////////// + // Function for finding a good starting node for Sloan algorithm + // + // This is to find a good starting node. "good" is in the sense + // of the ordering generated. + ///////////////////////////////////////////////////////////////////////// + template + typename graph_traits::vertex_descriptor + sloan_start_end_vertices(Graph& G, + typename graph_traits::vertex_descriptor &s, + ColorMap color, + DegreeMap degree) + { + typedef typename property_traits::value_type Degree; + typedef typename graph_traits::vertex_descriptor Vertex; + typedef typename std::vector< typename graph_traits::vertices_size_type>::iterator vec_iter; + typedef typename graph_traits::vertices_size_type size_type; + + typedef typename property_map::const_type VertexID; + + s = *(vertices(G).first); + Vertex e = s; + Vertex i; + unsigned my_degree = get(degree, s ); + unsigned dummy, h_i, h_s, w_i, w_e; + bool new_start = true; + unsigned maximum_degree = 0; + + //Creating a std-vector for storing the distance from the start vertex in dist + std::vector::vertices_size_type> dist(num_vertices(G), 0); + + //Wrap a property_map_iterator around the std::iterator + boost::iterator_property_map dist_pmap(dist.begin(), get(vertex_index, G)); + + //Creating a property_map for the indices of a vertex + typename property_map::type index_map = get(vertex_index, G); + + //Creating a priority queue + typedef indirect_cmp > Compare; + Compare comp(degree); + std::priority_queue, Compare> degree_queue(comp); + + //step 1 + //Scan for the vertex with the smallest degree and the maximum degree + typename graph_traits::vertex_iterator ui, ui_end; + for (tie(ui, ui_end) = vertices(G); ui != ui_end; ++ui) + { + dummy = get(degree, *ui); + + if(dummy < my_degree) + { + my_degree = dummy; + s = *ui; + } + + if(dummy > maximum_degree) + { + maximum_degree = dummy; + } + } + //end 1 + + do{ + new_start = false; //Setting the loop repetition status to false + + //step 2 + //initialize the the disance std-vector with 0 + for(typename std::vector::vertices_size_type>::iterator iter = dist.begin(); iter != dist.end(); ++iter) *iter = 0; + + //generating the RLS (rooted level structure) + breadth_first_search + (G, s, visitor + ( + make_bfs_visitor(record_distances(dist_pmap, on_tree_edge() ) ) + ) + ); + + //end 2 + + //step 3 + //calculating the depth of the RLS + h_s = RLS_depth(dist); + + //step 4 + //pushing one node of each degree in an ascending manner into degree_queue + std::vector shrink_trace(maximum_degree, false); + for (tie(ui, ui_end) = vertices(G); ui != ui_end; ++ui) + { + dummy = get(degree, *ui); + + if( (dist[index_map[*ui]] == h_s ) && ( !shrink_trace[ dummy ] ) ) + { + degree_queue.push(*ui); + shrink_trace[ dummy ] = true; + } + } + + //end 3 & 4 + + + //step 5 + //Initializing w + w_e = MAXINT; + //end 5 + + + //step 6 + //Testing for termination + while( !degree_queue.empty() ) + { + i = degree_queue.top(); //getting the node with the lowest degree from the degree queue + degree_queue.pop(); //ereasing the node with the lowest degree from the degree queue + + //generating a RLS + for(typename std::vector::vertices_size_type>::iterator iter = dist.begin(); iter != dist.end(); ++iter) *iter = 0; + + breadth_first_search + (G, i, boost::visitor + ( + make_bfs_visitor(record_distances(dist_pmap, on_tree_edge() ) ) + ) + ); + + //Calculating depth and width of the rooted level + h_i = RLS_depth(dist); + w_i = RLS_max_width(dist, h_i); + + //Testing for termination + if( (h_i > h_s) && (w_i < w_e) ) + { + h_s = h_i; + s = i; + while(!degree_queue.empty()) degree_queue.pop(); + new_start = true; + } + else if(w_i < w_e) + { + w_e = w_i; + e = i; + } + } + //end 6 + + }while(new_start); + + return e; + } + + ////////////////////////////////////////////////////////////////////////// + // Sloan algorithm with a given starting Vertex. + // + // This algorithm requires user to provide a starting vertex to + // compute Sloan ordering. + ////////////////////////////////////////////////////////////////////////// + template + OutputIterator + sloan_ordering(Graph& g, + typename graph_traits::vertex_descriptor s, + typename graph_traits::vertex_descriptor e, + OutputIterator permutation, + ColorMap color, + DegreeMap degree, + PriorityMap priority, + Weight W1, + Weight W2) + { + //typedef typename property_traits::value_type Degree; + typedef typename property_traits::value_type Degree; + typedef typename property_traits::value_type ColorValue; + typedef color_traits Color; + typedef typename graph_traits::vertex_descriptor Vertex; + typedef typename std::vector::vertices_size_type>::iterator vec_iter; + typedef typename graph_traits::vertices_size_type size_type; + + typedef typename property_map::const_type VertexID; + + + //Creating a std-vector for storing the distance from the end vertex in it + typename std::vector::vertices_size_type> dist(num_vertices(g), 0); + + //Wrap a property_map_iterator around the std::iterator + boost::iterator_property_map dist_pmap(dist.begin(), get(vertex_index, g)); + + breadth_first_search + (g, e, visitor + ( + make_bfs_visitor(record_distances(dist_pmap, on_tree_edge() ) ) + ) + ); + + //Creating a property_map for the indices of a vertex + typename property_map::type index_map = get(vertex_index, g); + + //Sets the color and priority to their initial status + unsigned cdeg; + typename graph_traits::vertex_iterator ui, ui_end; + for (tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui) + { + put(color, *ui, Color::white()); + cdeg=get(degree, *ui)+1; + put(priority, *ui, W1*dist[index_map[*ui]]-W2*cdeg ); + } + + //Priority list + typedef indirect_cmp > Compare; + Compare comp(priority); + std::list priority_list; + + //Some more declarations + typename graph_traits::out_edge_iterator ei, ei_end, ei2, ei2_end; + Vertex u, v, w; + + put(color, s, Color::green()); //Sets the color of the starting vertex to gray + priority_list.push_front(s); //Puts s into the priority_list + + while ( !priority_list.empty() ) + { + priority_list.sort(comp); //Orders the elements in the priority list in an ascending manner + + u = priority_list.front(); //Accesses the last element in the priority list + priority_list.pop_front(); //Removes the last element in the priority list + + if(get(color, u) == Color::green() ) + { + //for-loop over all out-edges of vertex u + for (tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) + { + v = target(*ei, g); + + put( priority, v, get(priority, v) + W2 ); //updates the priority + + if (get(color, v) == Color::white() ) //test if the vertex is inactive + { + put(color, v, Color::green() ); //giving the vertex a preactive status + priority_list.push_front(v); //writing the vertex in the priority_queue + } + } + } + + //Here starts step 8 + *permutation++ = u; //Puts u to the first position in the permutation-vector + put(color, u, Color::black() ); //Gives u an inactive status + + //for loop over all the adjacent vertices of u + for (tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) { + + v = target(*ei, g); + + if (get(color, v) == Color::green() ) { //tests if the vertex is inactive + + put(color, v, Color::red() ); //giving the vertex an active status + put(priority, v, get(priority, v)+W2); //updates the priority + + //for loop over alll adjacent vertices of v + for (tie(ei2, ei2_end) = out_edges(v, g); ei2 != ei2_end; ++ei2) { + w = target(*ei2, g); + + if(get(color, w) != Color::black() ) { //tests if vertex is postactive + + put(priority, w, get(priority, w)+W2); //updates the priority + + if(get(color, w) == Color::white() ){ + + put(color, w, Color::green() ); // gives the vertex a preactive status + priority_list.push_front(w); // puts the vertex into the priority queue + + } //end if + + } //end if + + } //end for + + } //end if + + } //end for + + } //end while + + + return permutation; + } + + ///////////////////////////////////////////////////////////////////////////////////////// + // Same algorithm as before, but without the weights given (taking default weights + template + OutputIterator + sloan_ordering(Graph& g, + typename graph_traits::vertex_descriptor s, + typename graph_traits::vertex_descriptor e, + OutputIterator permutation, + ColorMap color, + DegreeMap degree, + PriorityMap priority) + { + return sloan_ordering(g, s, e, permutation, color, degree, priority, WEIGHT1, WEIGHT2); + } + + + ////////////////////////////////////////////////////////////////////////// + // Sloan algorithm without a given starting Vertex. + // + // This algorithm finds a good starting vertex itself to + // compute Sloan-ordering. + ////////////////////////////////////////////////////////////////////////// + + + + template < class Graph, class OutputIterator, + class Color, class Degree, + class Priority, class Weight> + inline OutputIterator + sloan_ordering(Graph& G, + OutputIterator permutation, + Color color, + Degree degree, + Priority priority, + Weight W1, + Weight W2 ) + { + typedef typename boost::graph_traits::vertex_descriptor Vertex; + + Vertex s, e; + e = sloan_start_end_vertices(G, s, color, degree); + + return sloan_ordering(G, s, e, permutation, color, degree, priority, W1, W2); + } + + ///////////////////////////////////////////////////////////////////////////////////////// + // Same as before, but without given weights (default weights are taken instead) + template < class Graph, class OutputIterator, + class Color, class Degree, + class Priority > + inline OutputIterator + sloan_ordering(Graph& G, + OutputIterator permutation, + Color color, + Degree degree, + Priority priority) + { + return sloan_ordering(G, permutation, color, degree, priority, WEIGHT1, WEIGHT2); + } + + +} // namespace boost + + +#endif // BOOST_GRAPH_SLOAN_HPP