libcarla/include/system/boost/graph/gursoy_atun_layout.hpp

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