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#include <gudhi/Alpha_complex_3d.h>
// to construct a simplex_tree from alpha complex
#include <gudhi/Simplex_tree.h>
#include <gudhi/random_point_generators.h>
#include <gudhi/Clock.h>
#include <iostream>
#include <string>
#include <vector>
#include <limits> // for numeric limits
#include <CGAL/Epick_d.h>
#include <CGAL/Random.h>
template <typename Alpha_complex_3d>
void benchmark_points_on_torus_3D(const std::string& msg ) {
using K = CGAL::Epick_d< CGAL::Dimension_tag<3> >;
std::cout << msg << std::endl;
for (int nb_points = 1000; nb_points <= /*12*/5000 ; nb_points *= 5) {
std::cout << "### Alpha complex 3d on torus with " << nb_points << " points." << std::endl;
std::vector<K::Point_d> points_on_torus = Gudhi::generate_points_on_torus_3D<K>(nb_points, 1.0, 0.5);
std::vector<typename Alpha_complex_3d::Point_3> points;
for(auto p:points_on_torus) {
points.push_back(typename Alpha_complex_3d::Point_3(p[0],p[1],p[2]));
}
Gudhi::Clock ac_create_clock("benchmark_points_on_torus_3D - Alpha complex 3d creation"); ac_create_clock.begin();
Alpha_complex_3d alpha_complex_from_points(points);
ac_create_clock.end(); std::cout << ac_create_clock;
Gudhi::Simplex_tree<> simplex;
Gudhi::Clock st_create_clock("benchmark_points_on_torus_3D - simplex tree creation"); st_create_clock.begin();
alpha_complex_from_points.create_complex(simplex);
st_create_clock.end(); std::cout << st_create_clock;
}
}
template <typename Weighted_alpha_complex_3d>
void benchmark_weighted_points_on_torus_3D(const std::string& msg ) {
using K = CGAL::Epick_d< CGAL::Dimension_tag<3> >;
CGAL::Random random(8);
std::cout << msg << std::endl;
for (int nb_points = 1000; nb_points <= 125000 ; nb_points *= 5) {
std::cout << "### Alpha complex 3d on torus with " << nb_points << " points." << std::endl;
std::vector<K::Point_d> points_on_torus = Gudhi::generate_points_on_torus_3D<K>(nb_points, 1.0, 0.5);
using Point = typename Weighted_alpha_complex_3d::Point_3;
using Weighted_point = typename Weighted_alpha_complex_3d::Triangulation_3::Weighted_point;
std::vector<Weighted_point> points;
for(auto p:points_on_torus) {
points.push_back(Weighted_point(Point(p[0],p[1],p[2]), 0.9 + random.get_double(0., 0.01)));
}
Gudhi::Clock ac_create_clock("benchmark_weighted_points_on_torus_3D - Alpha complex 3d creation"); ac_create_clock.begin();
Weighted_alpha_complex_3d alpha_complex_from_points(points);
ac_create_clock.end(); std::cout << ac_create_clock;
Gudhi::Simplex_tree<> simplex;
Gudhi::Clock st_create_clock("benchmark_weighted_points_on_torus_3D - simplex tree creation"); st_create_clock.begin();
alpha_complex_from_points.create_complex(simplex);
st_create_clock.end(); std::cout << st_create_clock;
}
}
template <typename Periodic_alpha_complex_3d>
void benchmark_periodic_points(const std::string& msg ) {
std::cout << msg << std::endl;
for (double nb_points = 10.; nb_points <= 40. ; nb_points += 10.) {
std::cout << "### Periodic alpha complex 3d with " << nb_points*nb_points*nb_points << " points." << std::endl;
using Point = typename Periodic_alpha_complex_3d::Point_3;
std::vector<Point> points;
for (double i = 0; i < nb_points; i++) {
for (double j = 0; j < nb_points; j++) {
for (double k = 0; k < nb_points; k++) {
points.push_back(Point(i,j,k));
}
}
}
Gudhi::Clock ac_create_clock("benchmark_periodic_points - Alpha complex 3d creation"); ac_create_clock.begin();
Periodic_alpha_complex_3d alpha_complex_from_points(points, 0., 0., 0., nb_points, nb_points, nb_points);
ac_create_clock.end(); std::cout << ac_create_clock;
Gudhi::Simplex_tree<> simplex;
Gudhi::Clock st_create_clock("benchmark_periodic_points - simplex tree creation"); st_create_clock.begin();
alpha_complex_from_points.create_complex(simplex);
st_create_clock.end(); std::cout << st_create_clock;
}
}
template <typename Weighted_periodic_alpha_complex_3d>
void benchmark_weighted_periodic_points(const std::string& msg ) {
std::cout << msg << std::endl;
CGAL::Random random(8);
for (double nb_points = 10.; nb_points <= 40. ; nb_points += 10.) {
std::cout << "### Weighted periodic alpha complex 3d with " << nb_points*nb_points*nb_points << " points." << std::endl;
using Point = typename Weighted_periodic_alpha_complex_3d::Point_3;
using Weighted_point = typename Weighted_periodic_alpha_complex_3d::Triangulation_3::Weighted_point;
std::vector<Weighted_point> points;
for (double i = 0; i < nb_points; i++) {
for (double j = 0; j < nb_points; j++) {
for (double k = 0; k < nb_points; k++) {
points.push_back(Weighted_point(Point(i,j,k), random.get_double(0., (nb_points*nb_points)/64.)));
}
}
}
Gudhi::Clock ac_create_clock("benchmark_weighted_periodic_points - Alpha complex 3d creation"); ac_create_clock.begin();
Weighted_periodic_alpha_complex_3d alpha_complex_from_points(points, 0., 0., 0., nb_points, nb_points, nb_points);
ac_create_clock.end(); std::cout << ac_create_clock;
Gudhi::Simplex_tree<> simplex;
Gudhi::Clock st_create_clock("benchmark_weighted_periodic_points - simplex tree creation"); st_create_clock.begin();
alpha_complex_from_points.create_complex(simplex);
st_create_clock.end(); std::cout << st_create_clock;
}
}
int main(int argc, char **argv) {
/*
benchmark_points_on_torus_3D<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::fast,
false, false>>("### Fast version");
benchmark_points_on_torus_3D<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::safe,
false, false>>("### Safe version");
benchmark_points_on_torus_3D<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::exact,
false, false>>("### Exact version");
benchmark_weighted_points_on_torus_3D<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::fast,
true, false>>("### Fast version");
benchmark_weighted_points_on_torus_3D<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::safe,
true, false>>("### Safe version");
benchmark_weighted_points_on_torus_3D<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::exact,
true, false>>("### Exact version");
*/
benchmark_periodic_points<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::fast,
false, true>>("### Fast version");
benchmark_periodic_points<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::safe,
false, true>>("### Safe version");
benchmark_periodic_points<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::exact,
false, true>>("### Exact version");
benchmark_weighted_periodic_points<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::fast,
true, true>>("### Fast version");
benchmark_weighted_periodic_points<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::safe,
true, true>>("### Safe version");
benchmark_weighted_periodic_points<Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::exact,
true, true>>("### Exact version");
return 0;
}
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