mirror of
https://github.com/ecency/ecency-mobile.git
synced 2024-12-23 21:35:04 +03:00
441 lines
16 KiB
C++
441 lines
16 KiB
C++
// Copyright 2004, 2005 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: Douglas Gregor
|
|
// Andrew Lumsdaine
|
|
#ifndef BOOST_GRAPH_FRUCHTERMAN_REINGOLD_FORCE_DIRECTED_LAYOUT_HPP
|
|
#define BOOST_GRAPH_FRUCHTERMAN_REINGOLD_FORCE_DIRECTED_LAYOUT_HPP
|
|
|
|
#include <boost/config/no_tr1/cmath.hpp>
|
|
#include <boost/graph/graph_traits.hpp>
|
|
#include <boost/graph/named_function_params.hpp>
|
|
#include <boost/graph/iteration_macros.hpp>
|
|
#include <boost/graph/topology.hpp> // For topology concepts
|
|
#include <vector>
|
|
#include <list>
|
|
#include <algorithm> // for std::min and std::max
|
|
#include <numeric> // for std::accumulate
|
|
#include <cmath> // for std::sqrt and std::fabs
|
|
#include <functional>
|
|
|
|
namespace boost {
|
|
|
|
struct square_distance_attractive_force {
|
|
template<typename Graph, typename T>
|
|
T
|
|
operator()(typename graph_traits<Graph>::edge_descriptor,
|
|
T k,
|
|
T d,
|
|
const Graph&) const
|
|
{
|
|
return d * d / k;
|
|
}
|
|
};
|
|
|
|
struct square_distance_repulsive_force {
|
|
template<typename Graph, typename T>
|
|
T
|
|
operator()(typename graph_traits<Graph>::vertex_descriptor,
|
|
typename graph_traits<Graph>::vertex_descriptor,
|
|
T k,
|
|
T d,
|
|
const Graph&) const
|
|
{
|
|
return k * k / d;
|
|
}
|
|
};
|
|
|
|
template<typename T>
|
|
struct linear_cooling {
|
|
typedef T result_type;
|
|
|
|
linear_cooling(std::size_t iterations)
|
|
: temp(T(iterations) / T(10)), step(0.1) { }
|
|
|
|
linear_cooling(std::size_t iterations, T temp)
|
|
: temp(temp), step(temp / T(iterations)) { }
|
|
|
|
T operator()()
|
|
{
|
|
T old_temp = temp;
|
|
temp -= step;
|
|
if (temp < T(0)) temp = T(0);
|
|
return old_temp;
|
|
}
|
|
|
|
private:
|
|
T temp;
|
|
T step;
|
|
};
|
|
|
|
struct all_force_pairs
|
|
{
|
|
template<typename Graph, typename ApplyForce >
|
|
void operator()(const Graph& g, ApplyForce apply_force)
|
|
{
|
|
typedef typename graph_traits<Graph>::vertex_iterator vertex_iterator;
|
|
vertex_iterator v, end;
|
|
for (boost::tie(v, end) = vertices(g); v != end; ++v) {
|
|
vertex_iterator u = v;
|
|
for (++u; u != end; ++u) {
|
|
apply_force(*u, *v);
|
|
apply_force(*v, *u);
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
template<typename Topology, typename PositionMap>
|
|
struct grid_force_pairs
|
|
{
|
|
typedef typename property_traits<PositionMap>::value_type Point;
|
|
BOOST_STATIC_ASSERT (Point::dimensions == 2);
|
|
typedef typename Topology::point_difference_type point_difference_type;
|
|
|
|
template<typename Graph>
|
|
explicit
|
|
grid_force_pairs(const Topology& topology,
|
|
PositionMap position, const Graph& g)
|
|
: topology(topology), position(position)
|
|
{
|
|
two_k = 2. * this->topology.volume(this->topology.extent()) / std::sqrt((double)num_vertices(g));
|
|
}
|
|
|
|
template<typename Graph, typename ApplyForce >
|
|
void operator()(const Graph& g, ApplyForce apply_force)
|
|
{
|
|
typedef typename graph_traits<Graph>::vertex_iterator vertex_iterator;
|
|
typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
|
|
typedef std::list<vertex_descriptor> bucket_t;
|
|
typedef std::vector<bucket_t> buckets_t;
|
|
|
|
std::size_t columns = std::size_t(topology.extent()[0] / two_k + 1.);
|
|
std::size_t rows = std::size_t(topology.extent()[1] / two_k + 1.);
|
|
buckets_t buckets(rows * columns);
|
|
vertex_iterator v, v_end;
|
|
for (boost::tie(v, v_end) = vertices(g); v != v_end; ++v) {
|
|
std::size_t column =
|
|
std::size_t((get(position, *v)[0] + topology.extent()[0] / 2) / two_k);
|
|
std::size_t row =
|
|
std::size_t((get(position, *v)[1] + topology.extent()[1] / 2) / two_k);
|
|
|
|
if (column >= columns) column = columns - 1;
|
|
if (row >= rows) row = rows - 1;
|
|
buckets[row * columns + column].push_back(*v);
|
|
}
|
|
|
|
for (std::size_t row = 0; row < rows; ++row)
|
|
for (std::size_t column = 0; column < columns; ++column) {
|
|
bucket_t& bucket = buckets[row * columns + column];
|
|
typedef typename bucket_t::iterator bucket_iterator;
|
|
for (bucket_iterator u = bucket.begin(); u != bucket.end(); ++u) {
|
|
// Repulse vertices in this bucket
|
|
bucket_iterator v = u;
|
|
for (++v; v != bucket.end(); ++v) {
|
|
apply_force(*u, *v);
|
|
apply_force(*v, *u);
|
|
}
|
|
|
|
std::size_t adj_start_row = row == 0? 0 : row - 1;
|
|
std::size_t adj_end_row = row == rows - 1? row : row + 1;
|
|
std::size_t adj_start_column = column == 0? 0 : column - 1;
|
|
std::size_t adj_end_column = column == columns - 1? column : column + 1;
|
|
for (std::size_t other_row = adj_start_row; other_row <= adj_end_row;
|
|
++other_row)
|
|
for (std::size_t other_column = adj_start_column;
|
|
other_column <= adj_end_column; ++other_column)
|
|
if (other_row != row || other_column != column) {
|
|
// Repulse vertices in this bucket
|
|
bucket_t& other_bucket
|
|
= buckets[other_row * columns + other_column];
|
|
for (v = other_bucket.begin(); v != other_bucket.end(); ++v) {
|
|
double dist =
|
|
topology.distance(get(position, *u), get(position, *v));
|
|
if (dist < two_k) apply_force(*u, *v);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
private:
|
|
const Topology& topology;
|
|
PositionMap position;
|
|
double two_k;
|
|
};
|
|
|
|
template<typename PositionMap, typename Topology, typename Graph>
|
|
inline grid_force_pairs<Topology, PositionMap>
|
|
make_grid_force_pairs
|
|
(const Topology& topology,
|
|
const PositionMap& position, const Graph& g)
|
|
{ return grid_force_pairs<Topology, PositionMap>(topology, position, g); }
|
|
|
|
template<typename Graph, typename PositionMap, typename Topology>
|
|
void
|
|
scale_graph(const Graph& g, PositionMap position, const Topology& topology,
|
|
typename Topology::point_type upper_left, typename Topology::point_type lower_right)
|
|
{
|
|
if (num_vertices(g) == 0) return;
|
|
|
|
typedef typename Topology::point_type Point;
|
|
typedef typename Topology::point_difference_type point_difference_type;
|
|
|
|
// Find min/max ranges
|
|
Point min_point = get(position, *vertices(g).first), max_point = min_point;
|
|
BGL_FORALL_VERTICES_T(v, g, Graph) {
|
|
min_point = topology.pointwise_min(min_point, get(position, v));
|
|
max_point = topology.pointwise_max(max_point, get(position, v));
|
|
}
|
|
|
|
Point old_origin = topology.move_position_toward(min_point, 0.5, max_point);
|
|
Point new_origin = topology.move_position_toward(upper_left, 0.5, lower_right);
|
|
point_difference_type old_size = topology.difference(max_point, min_point);
|
|
point_difference_type new_size = topology.difference(lower_right, upper_left);
|
|
|
|
// Scale to bounding box provided
|
|
BGL_FORALL_VERTICES_T(v, g, Graph) {
|
|
point_difference_type relative_loc = topology.difference(get(position, v), old_origin);
|
|
relative_loc = (relative_loc / old_size) * new_size;
|
|
put(position, v, topology.adjust(new_origin, relative_loc));
|
|
}
|
|
}
|
|
|
|
namespace detail {
|
|
template<typename Topology, typename PropMap, typename Vertex>
|
|
void
|
|
maybe_jitter_point(const Topology& topology,
|
|
const PropMap& pm, Vertex v,
|
|
const typename Topology::point_type& p2)
|
|
{
|
|
double too_close = topology.norm(topology.extent()) / 10000.;
|
|
if (topology.distance(get(pm, v), p2) < too_close) {
|
|
put(pm, v,
|
|
topology.move_position_toward(get(pm, v), 1./200,
|
|
topology.random_point()));
|
|
}
|
|
}
|
|
|
|
template<typename Topology, typename PositionMap, typename DisplacementMap,
|
|
typename RepulsiveForce, typename Graph>
|
|
struct fr_apply_force
|
|
{
|
|
typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
|
|
typedef typename Topology::point_type Point;
|
|
typedef typename Topology::point_difference_type PointDiff;
|
|
|
|
fr_apply_force(const Topology& topology,
|
|
const PositionMap& position,
|
|
const DisplacementMap& displacement,
|
|
RepulsiveForce repulsive_force, double k, const Graph& g)
|
|
: topology(topology), position(position), displacement(displacement),
|
|
repulsive_force(repulsive_force), k(k), g(g)
|
|
{ }
|
|
|
|
void operator()(vertex_descriptor u, vertex_descriptor v)
|
|
{
|
|
if (u != v) {
|
|
// When the vertices land on top of each other, move the
|
|
// first vertex away from the boundaries.
|
|
maybe_jitter_point(topology, position, u, get(position, v));
|
|
|
|
double dist = topology.distance(get(position, u), get(position, v));
|
|
typename Topology::point_difference_type dispv = get(displacement, v);
|
|
if (dist == 0.) {
|
|
for (std::size_t i = 0; i < Point::dimensions; ++i) {
|
|
dispv[i] += 0.01;
|
|
}
|
|
} else {
|
|
double fr = repulsive_force(u, v, k, dist, g);
|
|
dispv += (fr / dist) *
|
|
topology.difference(get(position, v), get(position, u));
|
|
}
|
|
put(displacement, v, dispv);
|
|
}
|
|
}
|
|
|
|
private:
|
|
const Topology& topology;
|
|
PositionMap position;
|
|
DisplacementMap displacement;
|
|
RepulsiveForce repulsive_force;
|
|
double k;
|
|
const Graph& g;
|
|
};
|
|
|
|
} // end namespace detail
|
|
|
|
template<typename Topology, typename Graph, typename PositionMap,
|
|
typename AttractiveForce, typename RepulsiveForce,
|
|
typename ForcePairs, typename Cooling, typename DisplacementMap>
|
|
void
|
|
fruchterman_reingold_force_directed_layout
|
|
(const Graph& g,
|
|
PositionMap position,
|
|
const Topology& topology,
|
|
AttractiveForce attractive_force,
|
|
RepulsiveForce repulsive_force,
|
|
ForcePairs force_pairs,
|
|
Cooling cool,
|
|
DisplacementMap displacement)
|
|
{
|
|
typedef typename graph_traits<Graph>::vertex_iterator vertex_iterator;
|
|
typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
|
|
typedef typename graph_traits<Graph>::edge_iterator edge_iterator;
|
|
|
|
double volume = topology.volume(topology.extent());
|
|
|
|
// assume positions are initialized randomly
|
|
double k = pow(volume / num_vertices(g), 1. / (double)(Topology::point_difference_type::dimensions));
|
|
|
|
detail::fr_apply_force<Topology, PositionMap, DisplacementMap,
|
|
RepulsiveForce, Graph>
|
|
apply_force(topology, position, displacement, repulsive_force, k, g);
|
|
|
|
do {
|
|
// Calculate repulsive forces
|
|
vertex_iterator v, v_end;
|
|
for (boost::tie(v, v_end) = vertices(g); v != v_end; ++v)
|
|
put(displacement, *v, typename Topology::point_difference_type());
|
|
force_pairs(g, apply_force);
|
|
|
|
// Calculate attractive forces
|
|
edge_iterator e, e_end;
|
|
for (boost::tie(e, e_end) = edges(g); e != e_end; ++e) {
|
|
vertex_descriptor v = source(*e, g);
|
|
vertex_descriptor u = target(*e, g);
|
|
|
|
// When the vertices land on top of each other, move the
|
|
// first vertex away from the boundaries.
|
|
::boost::detail::maybe_jitter_point(topology, position, u, get(position, v));
|
|
|
|
typename Topology::point_difference_type delta =
|
|
topology.difference(get(position, v), get(position, u));
|
|
double dist = topology.distance(get(position, u), get(position, v));
|
|
double fa = attractive_force(*e, k, dist, g);
|
|
|
|
put(displacement, v, get(displacement, v) - (fa / dist) * delta);
|
|
put(displacement, u, get(displacement, u) + (fa / dist) * delta);
|
|
}
|
|
|
|
if (double temp = cool()) {
|
|
// Update positions
|
|
BGL_FORALL_VERTICES_T (v, g, Graph) {
|
|
BOOST_USING_STD_MIN();
|
|
BOOST_USING_STD_MAX();
|
|
double disp_size = topology.norm(get(displacement, v));
|
|
put(position, v, topology.adjust(get(position, v), get(displacement, v) * (min BOOST_PREVENT_MACRO_SUBSTITUTION (disp_size, temp) / disp_size)));
|
|
put(position, v, topology.bound(get(position, v)));
|
|
}
|
|
} else {
|
|
break;
|
|
}
|
|
} while (true);
|
|
}
|
|
|
|
namespace detail {
|
|
template<typename DisplacementMap>
|
|
struct fr_force_directed_layout
|
|
{
|
|
template<typename Topology, typename Graph, typename PositionMap,
|
|
typename AttractiveForce, typename RepulsiveForce,
|
|
typename ForcePairs, typename Cooling,
|
|
typename Param, typename Tag, typename Rest>
|
|
static void
|
|
run(const Graph& g,
|
|
PositionMap position,
|
|
const Topology& topology,
|
|
AttractiveForce attractive_force,
|
|
RepulsiveForce repulsive_force,
|
|
ForcePairs force_pairs,
|
|
Cooling cool,
|
|
DisplacementMap displacement,
|
|
const bgl_named_params<Param, Tag, Rest>&)
|
|
{
|
|
fruchterman_reingold_force_directed_layout
|
|
(g, position, topology, attractive_force, repulsive_force,
|
|
force_pairs, cool, displacement);
|
|
}
|
|
};
|
|
|
|
template<>
|
|
struct fr_force_directed_layout<param_not_found>
|
|
{
|
|
template<typename Topology, typename Graph, typename PositionMap,
|
|
typename AttractiveForce, typename RepulsiveForce,
|
|
typename ForcePairs, typename Cooling,
|
|
typename Param, typename Tag, typename Rest>
|
|
static void
|
|
run(const Graph& g,
|
|
PositionMap position,
|
|
const Topology& topology,
|
|
AttractiveForce attractive_force,
|
|
RepulsiveForce repulsive_force,
|
|
ForcePairs force_pairs,
|
|
Cooling cool,
|
|
param_not_found,
|
|
const bgl_named_params<Param, Tag, Rest>& params)
|
|
{
|
|
typedef typename Topology::point_difference_type PointDiff;
|
|
std::vector<PointDiff> displacements(num_vertices(g));
|
|
fruchterman_reingold_force_directed_layout
|
|
(g, position, topology, attractive_force, repulsive_force,
|
|
force_pairs, cool,
|
|
make_iterator_property_map
|
|
(displacements.begin(),
|
|
choose_const_pmap(get_param(params, vertex_index), g,
|
|
vertex_index),
|
|
PointDiff()));
|
|
}
|
|
};
|
|
|
|
} // end namespace detail
|
|
|
|
template<typename Topology, typename Graph, typename PositionMap, typename Param,
|
|
typename Tag, typename Rest>
|
|
void
|
|
fruchterman_reingold_force_directed_layout
|
|
(const Graph& g,
|
|
PositionMap position,
|
|
const Topology& topology,
|
|
const bgl_named_params<Param, Tag, Rest>& params)
|
|
{
|
|
typedef typename get_param_type<vertex_displacement_t, bgl_named_params<Param,Tag,Rest> >::type D;
|
|
|
|
detail::fr_force_directed_layout<D>::run
|
|
(g, position, topology,
|
|
choose_param(get_param(params, attractive_force_t()),
|
|
square_distance_attractive_force()),
|
|
choose_param(get_param(params, repulsive_force_t()),
|
|
square_distance_repulsive_force()),
|
|
choose_param(get_param(params, force_pairs_t()),
|
|
make_grid_force_pairs(topology, position, g)),
|
|
choose_param(get_param(params, cooling_t()),
|
|
linear_cooling<double>(100)),
|
|
get_param(params, vertex_displacement_t()),
|
|
params);
|
|
}
|
|
|
|
template<typename Topology, typename Graph, typename PositionMap>
|
|
void
|
|
fruchterman_reingold_force_directed_layout
|
|
(const Graph& g,
|
|
PositionMap position,
|
|
const Topology& topology)
|
|
{
|
|
fruchterman_reingold_force_directed_layout
|
|
(g, position, topology,
|
|
attractive_force(square_distance_attractive_force()));
|
|
}
|
|
|
|
} // end namespace boost
|
|
|
|
#ifdef BOOST_GRAPH_USE_MPI
|
|
# include <boost/graph/distributed/fruchterman_reingold.hpp>
|
|
#endif
|
|
|
|
#endif // BOOST_GRAPH_FRUCHTERMAN_REINGOLD_FORCE_DIRECTED_LAYOUT_HPP
|