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359 lines
14 KiB
C++
359 lines
14 KiB
C++
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// Copyright 2004 The Trustees of Indiana University.
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// Distributed under the Boost Software License, Version 1.0.
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// (See 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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// Authors: Jeremiah Willcock
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// Douglas Gregor
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// Andrew Lumsdaine
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#ifndef BOOST_GRAPH_GURSOY_ATUN_LAYOUT_HPP
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#define BOOST_GRAPH_GURSOY_ATUN_LAYOUT_HPP
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// Gürsoy-Atun graph layout, based on:
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// "Neighbourhood Preserving Load Balancing: A Self-Organizing Approach"
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// in 6th International Euro-Par Conference Munich, Germany, August 29 – September 1, 2000 Proceedings,
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// pp 234-241
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// http://dx.doi.org/10.1007/3-540-44520-X_32
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#include <boost/config/no_tr1/cmath.hpp>
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#include <boost/throw_exception.hpp>
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#include <boost/assert.hpp>
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#include <vector>
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#include <exception>
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#include <algorithm>
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#include <boost/graph/visitors.hpp>
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#include <boost/graph/properties.hpp>
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#include <boost/random/uniform_01.hpp>
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#include <boost/random/linear_congruential.hpp>
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#include <boost/shared_ptr.hpp>
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#include <boost/graph/breadth_first_search.hpp>
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#include <boost/graph/dijkstra_shortest_paths.hpp>
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#include <boost/graph/named_function_params.hpp>
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#include <boost/graph/topology.hpp>
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namespace boost {
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namespace detail {
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struct over_distance_limit : public std::exception {};
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template <typename PositionMap, typename NodeDistanceMap, typename Topology,
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typename Graph>
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struct update_position_visitor {
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typedef typename Topology::point_type Point;
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PositionMap position_map;
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NodeDistanceMap node_distance;
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const Topology& space;
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Point input_vector;
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double distance_limit;
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double learning_constant;
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double falloff_ratio;
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typedef boost::on_examine_vertex event_filter;
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typedef typename graph_traits<Graph>::vertex_descriptor
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vertex_descriptor;
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update_position_visitor(PositionMap position_map,
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NodeDistanceMap node_distance,
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const Topology& space,
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const Point& input_vector,
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double distance_limit,
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double learning_constant,
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double falloff_ratio):
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position_map(position_map), node_distance(node_distance),
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space(space),
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input_vector(input_vector), distance_limit(distance_limit),
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learning_constant(learning_constant), falloff_ratio(falloff_ratio) {}
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void operator()(vertex_descriptor v, const Graph&) const
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{
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#ifndef BOOST_NO_STDC_NAMESPACE
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using std::pow;
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#endif
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if (get(node_distance, v) > distance_limit)
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BOOST_THROW_EXCEPTION(over_distance_limit());
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Point old_position = get(position_map, v);
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double distance = get(node_distance, v);
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double fraction =
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learning_constant * pow(falloff_ratio, distance * distance);
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put(position_map, v,
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space.move_position_toward(old_position, fraction, input_vector));
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}
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};
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template<typename EdgeWeightMap>
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struct gursoy_shortest
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{
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template<typename Graph, typename NodeDistanceMap, typename UpdatePosition>
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static inline void
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run(const Graph& g, typename graph_traits<Graph>::vertex_descriptor s,
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NodeDistanceMap node_distance, UpdatePosition& update_position,
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EdgeWeightMap weight)
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{
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boost::dijkstra_shortest_paths(g, s, weight_map(weight).
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visitor(boost::make_dijkstra_visitor(std::make_pair(
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boost::record_distances(node_distance, boost::on_edge_relaxed()),
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update_position))));
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}
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};
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template<>
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struct gursoy_shortest<dummy_property_map>
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{
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template<typename Graph, typename NodeDistanceMap, typename UpdatePosition>
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static inline void
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run(const Graph& g, typename graph_traits<Graph>::vertex_descriptor s,
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NodeDistanceMap node_distance, UpdatePosition& update_position,
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dummy_property_map)
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{
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boost::breadth_first_search(g, s,
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visitor(boost::make_bfs_visitor(std::make_pair(
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boost::record_distances(node_distance, boost::on_tree_edge()),
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update_position))));
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}
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};
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} // namespace detail
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap, typename Diameter, typename VertexIndexMap,
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typename EdgeWeightMap>
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void
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gursoy_atun_step
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(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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Diameter diameter,
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double learning_constant,
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VertexIndexMap vertex_index_map,
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EdgeWeightMap weight)
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{
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#ifndef BOOST_NO_STDC_NAMESPACE
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using std::pow;
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using std::exp;
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#endif
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typedef typename graph_traits<VertexListAndIncidenceGraph>::vertex_iterator
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vertex_iterator;
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typedef typename graph_traits<VertexListAndIncidenceGraph>::vertex_descriptor
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vertex_descriptor;
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typedef typename Topology::point_type point_type;
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vertex_iterator i, iend;
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std::vector<double> distance_from_input_vector(num_vertices(graph));
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typedef boost::iterator_property_map<std::vector<double>::iterator,
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VertexIndexMap,
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double, double&>
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DistanceFromInputMap;
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DistanceFromInputMap distance_from_input(distance_from_input_vector.begin(),
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vertex_index_map);
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std::vector<double> node_distance_map_vector(num_vertices(graph));
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typedef boost::iterator_property_map<std::vector<double>::iterator,
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VertexIndexMap,
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double, double&>
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NodeDistanceMap;
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NodeDistanceMap node_distance(node_distance_map_vector.begin(),
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vertex_index_map);
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point_type input_vector = space.random_point();
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vertex_descriptor min_distance_loc
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= graph_traits<VertexListAndIncidenceGraph>::null_vertex();
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double min_distance = 0.0;
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bool min_distance_unset = true;
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for (boost::tie(i, iend) = vertices(graph); i != iend; ++i) {
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double this_distance = space.distance(get(position, *i), input_vector);
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put(distance_from_input, *i, this_distance);
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if (min_distance_unset || this_distance < min_distance) {
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min_distance = this_distance;
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min_distance_loc = *i;
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}
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min_distance_unset = false;
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}
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BOOST_ASSERT (!min_distance_unset); // Graph must have at least one vertex
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boost::detail::update_position_visitor<
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PositionMap, NodeDistanceMap, Topology,
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VertexListAndIncidenceGraph>
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update_position(position, node_distance, space,
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input_vector, diameter, learning_constant,
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exp(-1. / (2 * diameter * diameter)));
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std::fill(node_distance_map_vector.begin(), node_distance_map_vector.end(), 0);
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try {
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typedef detail::gursoy_shortest<EdgeWeightMap> shortest;
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shortest::run(graph, min_distance_loc, node_distance, update_position,
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weight);
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} catch (detail::over_distance_limit) {
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/* Thrown to break out of BFS or Dijkstra early */
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}
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}
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap, typename VertexIndexMap,
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typename EdgeWeightMap>
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void gursoy_atun_refine(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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int nsteps,
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double diameter_initial,
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double diameter_final,
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double learning_constant_initial,
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double learning_constant_final,
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VertexIndexMap vertex_index_map,
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EdgeWeightMap weight)
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{
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#ifndef BOOST_NO_STDC_NAMESPACE
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using std::pow;
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using std::exp;
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#endif
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typedef typename graph_traits<VertexListAndIncidenceGraph>::vertex_iterator
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vertex_iterator;
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vertex_iterator i, iend;
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double diameter_ratio = (double)diameter_final / diameter_initial;
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double learning_constant_ratio =
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learning_constant_final / learning_constant_initial;
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std::vector<double> distance_from_input_vector(num_vertices(graph));
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typedef boost::iterator_property_map<std::vector<double>::iterator,
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VertexIndexMap,
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double, double&>
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DistanceFromInputMap;
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DistanceFromInputMap distance_from_input(distance_from_input_vector.begin(),
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vertex_index_map);
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std::vector<int> node_distance_map_vector(num_vertices(graph));
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typedef boost::iterator_property_map<std::vector<int>::iterator,
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VertexIndexMap, double, double&>
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NodeDistanceMap;
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NodeDistanceMap node_distance(node_distance_map_vector.begin(),
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vertex_index_map);
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for (int round = 0; round < nsteps; ++round) {
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double part_done = (double)round / (nsteps - 1);
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// fprintf(stderr, "%2d%% done\n", int(rint(part_done * 100.)));
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int diameter = (int)(diameter_initial * pow(diameter_ratio, part_done));
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double learning_constant =
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learning_constant_initial * pow(learning_constant_ratio, part_done);
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gursoy_atun_step(graph, space, position, diameter, learning_constant,
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vertex_index_map, weight);
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}
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}
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap, typename VertexIndexMap,
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typename EdgeWeightMap>
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void gursoy_atun_layout(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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int nsteps,
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double diameter_initial,
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double diameter_final,
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double learning_constant_initial,
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double learning_constant_final,
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VertexIndexMap vertex_index_map,
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EdgeWeightMap weight)
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{
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typedef typename graph_traits<VertexListAndIncidenceGraph>::vertex_iterator
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vertex_iterator;
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vertex_iterator i, iend;
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for (boost::tie(i, iend) = vertices(graph); i != iend; ++i) {
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put(position, *i, space.random_point());
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}
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gursoy_atun_refine(graph, space,
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position, nsteps,
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diameter_initial, diameter_final,
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learning_constant_initial, learning_constant_final,
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vertex_index_map, weight);
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}
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap, typename VertexIndexMap>
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void gursoy_atun_layout(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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int nsteps,
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double diameter_initial,
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double diameter_final,
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double learning_constant_initial,
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double learning_constant_final,
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VertexIndexMap vertex_index_map)
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{
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gursoy_atun_layout(graph, space, position, nsteps,
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diameter_initial, diameter_final,
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learning_constant_initial, learning_constant_final,
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vertex_index_map, dummy_property_map());
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}
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap>
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void gursoy_atun_layout(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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int nsteps,
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double diameter_initial,
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double diameter_final = 1.0,
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double learning_constant_initial = 0.8,
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double learning_constant_final = 0.2)
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{
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gursoy_atun_layout(graph, space, position, nsteps, diameter_initial,
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diameter_final, learning_constant_initial,
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learning_constant_final, get(vertex_index, graph));
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}
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap>
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void gursoy_atun_layout(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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int nsteps)
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{
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#ifndef BOOST_NO_STDC_NAMESPACE
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using std::sqrt;
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#endif
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gursoy_atun_layout(graph, space, position, nsteps,
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sqrt((double)num_vertices(graph)));
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}
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template <typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap>
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void gursoy_atun_layout(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position)
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{
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gursoy_atun_layout(graph, space, position, num_vertices(graph));
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}
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template<typename VertexListAndIncidenceGraph, typename Topology,
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typename PositionMap, typename P, typename T, typename R>
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void
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gursoy_atun_layout(const VertexListAndIncidenceGraph& graph,
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const Topology& space,
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PositionMap position,
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const bgl_named_params<P,T,R>& params)
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{
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#ifndef BOOST_NO_STDC_NAMESPACE
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using std::sqrt;
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#endif
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std::pair<double, double> diam(sqrt(double(num_vertices(graph))), 1.0);
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std::pair<double, double> learn(0.8, 0.2);
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gursoy_atun_layout(graph, space, position,
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choose_param(get_param(params, iterations_t()),
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num_vertices(graph)),
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choose_param(get_param(params, diameter_range_t()),
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diam).first,
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|||
|
|
choose_param(get_param(params, diameter_range_t()),
|
|||
|
|
diam).second,
|
|||
|
|
choose_param(get_param(params, learning_constant_range_t()),
|
|||
|
|
learn).first,
|
|||
|
|
choose_param(get_param(params, learning_constant_range_t()),
|
|||
|
|
learn).second,
|
|||
|
|
choose_const_pmap(get_param(params, vertex_index), graph,
|
|||
|
|
vertex_index),
|
|||
|
|
choose_param(get_param(params, edge_weight),
|
|||
|
|
dummy_property_map()));
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
} // namespace boost
|
|||
|
|
|
|||
|
|
#endif // BOOST_GRAPH_GURSOY_ATUN_LAYOUT_HPP
|