/* This file is part of the Gudhi Library. The Gudhi library
* (Geometric Understanding in Higher Dimensions) is a generic C++
* library for computational topology.
*
* Author(s): Vincent Rouvreau
*
* Copyright (C) 2015 Inria
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see .
*/
#define BOOST_TEST_DYN_LINK
#define BOOST_TEST_MODULE "alpha_complex_3d"
#include
#include
#include // float comparison
#include
#include
#include
#include
#include
#include
// to construct a simplex_tree from Delaunay_triangulation
#include
#include
#include
#include
using Alpha_shapes_3d = Gudhi::alpha_complex::Alpha_shapes_3d;
using Exact_alpha_shapes_3d = Gudhi::alpha_complex::Exact_alpha_shapes_3d;
using Weighted_alpha_shapes_3d = Gudhi::alpha_complex::Weighted_alpha_shapes_3d;
using Periodic_alpha_shapes_3d = Gudhi::alpha_complex::Periodic_alpha_shapes_3d;
using Weighted_periodic_alpha_shapes_3d = Gudhi::alpha_complex::Weighted_periodic_alpha_shapes_3d;
BOOST_AUTO_TEST_CASE(Alpha_complex_3d_from_points) {
// -----------------
// Non exact version
// -----------------
std::cout << "Alpha complex 3d" << std::endl;
std::vector points;
points.push_back(Alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
points.push_back(Alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
points.push_back(Alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
points.push_back(Alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
points.push_back(Alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
points.push_back(Alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
Gudhi::alpha_complex::Alpha_complex_3d alpha_complex(points);
Gudhi::Simplex_tree<> stree;
alpha_complex.create_complex(stree);
// -----------------
// Exact version
// -----------------
std::cout << "Exact alpha complex 3d" << std::endl;
using Exact_alpha_shapes_3d = Gudhi::alpha_complex::Exact_alpha_shapes_3d;
Gudhi::alpha_complex::Alpha_complex_3d exact_alpha_complex(points);
Gudhi::Simplex_tree<> exact_stree;
exact_alpha_complex.create_complex(exact_stree);
// ---------------------
// Compare both versions
// ---------------------
std::cout << "Exact Alpha complex 3d is of dimension " << exact_stree.dimension()
<< " - Non exact is " << stree.dimension() << std::endl;
BOOST_CHECK(exact_stree.dimension() == stree.dimension());
std::cout << "Exact Alpha complex 3d num_simplices " << exact_stree.num_simplices()
<< " - Non exact is " << stree.num_simplices() << std::endl;
BOOST_CHECK(exact_stree.num_simplices() == stree.num_simplices());
std::cout << "Exact Alpha complex 3d num_vertices " << exact_stree.num_vertices()
<< " - Non exact is " << stree.num_vertices() << std::endl;
BOOST_CHECK(exact_stree.num_vertices() == stree.num_vertices());
auto sh = stree.filtration_simplex_range().begin();
auto sh_exact = exact_stree.filtration_simplex_range().begin();
while(sh != stree.filtration_simplex_range().end() && sh_exact != exact_stree.filtration_simplex_range().end()) {
std::vector simplex;
std::vector exact_simplex;
std::cout << "Non-exact ( ";
for (auto vertex : stree.simplex_vertex_range(*sh)) {
simplex.push_back(vertex);
std::cout << vertex << " ";
}
std::cout << ") -> " << "[" << stree.filtration(*sh) << "] ";
std::cout << std::endl;
std::cout << "Exact ( ";
for (auto vertex : exact_stree.simplex_vertex_range(*sh_exact)) {
exact_simplex.push_back(vertex);
std::cout << vertex << " ";
}
std::cout << ") -> " << "[" << exact_stree.filtration(*sh_exact) << "] ";
std::cout << std::endl;
BOOST_CHECK(exact_simplex == simplex);
// Exact and non-exact version is not exactly the same due to float comparison
GUDHI_TEST_FLOAT_EQUALITY_CHECK(exact_stree.filtration(*sh_exact), stree.filtration(*sh));
++sh;
++sh_exact;
}
}
#ifdef GUDHI_DEBUG
BOOST_AUTO_TEST_CASE(Alpha_complex_weighted_throw) {
std::vector w_points;
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
// w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
// w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
// w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
// weights size is different from w_points size to make weighted Alpha_complex_3d throw in debug mode
std::vector weights = {0.01, 0.005, 0.006, 0.01, 0.009, 0.001};
std::cout << "Check exception throw in debug mode" << std::endl;
BOOST_CHECK_THROW (Gudhi::alpha_complex::Alpha_complex_3d wac(w_points, weights),
std::invalid_argument);
}
#endif
BOOST_AUTO_TEST_CASE(Alpha_complex_weighted) {
std::cout << "Weighted alpha complex 3d" << std::endl;
using Weighted_alpha_shapes_3d = Gudhi::alpha_complex::Weighted_alpha_shapes_3d;
std::vector w_points;
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
w_points.push_back(Weighted_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
// weights size is different from w_points size to make weighted Alpha_complex_3d throw in debug mode
std::vector weights = {0.01, 0.005, 0.006, 0.01, 0.009, 0.001};
Gudhi::alpha_complex::Alpha_complex_3d weighted_alpha_complex(w_points, weights);
Gudhi::Simplex_tree<> w_stree;
weighted_alpha_complex.create_complex(w_stree);
std::cout << "Weighted Alpha complex 3d is of dimension " << w_stree.dimension() << std::endl;
BOOST_CHECK(w_stree.dimension() == 3);
std::cout << " num_simplices " << w_stree.num_simplices() << std::endl;
BOOST_CHECK(w_stree.num_simplices() == 35);
std::cout << " num_vertices " << w_stree.num_vertices() << std::endl;
BOOST_CHECK(w_stree.num_vertices() == 6);
}
#ifdef GUDHI_DEBUG
BOOST_AUTO_TEST_CASE(Alpha_complex_periodic_throw) {
std::cout << "Periodic alpha complex 3d exception throw" << std::endl;
std::vector p_points;
// Not important, this is not what we want to check
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
std::cout << "Check exception throw in debug mode" << std::endl;
using Periodic_alpha_complex_3d = Gudhi::alpha_complex::Alpha_complex_3d;
// Check it throws an exception when the cuboid is not iso
BOOST_CHECK_THROW (Periodic_alpha_complex_3d periodic_alpha_complex(p_points, 0., 0., 0., 0.9, 1., 1.),
std::invalid_argument);
BOOST_CHECK_THROW (Periodic_alpha_complex_3d periodic_alpha_complex(p_points, 0., 0., 0., 1., 0.9, 1.),
std::invalid_argument);
BOOST_CHECK_THROW (Periodic_alpha_complex_3d periodic_alpha_complex(p_points, 0., 0., 0., 1., 1., 0.9),
std::invalid_argument);
}
#endif
BOOST_AUTO_TEST_CASE(Alpha_complex_periodic) {
std::cout << "Periodic alpha complex 3d" << std::endl;
std::vector p_points;
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.1, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.6));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.8));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.0));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.4));
p_points.push_back(Periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.6));
Gudhi::alpha_complex::Alpha_complex_3d periodic_alpha_complex(p_points,
0., 0., 0.,
1., 1., 1.);
Gudhi::Simplex_tree<> p_stree;
periodic_alpha_complex.create_complex(p_stree);
std::cout << "Periodic Alpha complex 3d is of dimension " << p_stree.dimension() << std::endl;
BOOST_CHECK(p_stree.dimension() == 3);
std::cout << " num_simplices " << p_stree.num_simplices() << std::endl;
BOOST_CHECK(p_stree.num_simplices() == 3266);
std::cout << " num_vertices " << p_stree.num_vertices() << std::endl;
BOOST_CHECK(p_stree.num_vertices() == 125);
}
#ifdef GUDHI_DEBUG
BOOST_AUTO_TEST_CASE(Alpha_complex_weighted_periodic_throw) {
std::cout << "Weighted periodic alpha complex 3d exception throw" << std::endl;
std::vector wp_points;
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.1, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.6));
std::vector p_weights;
std::random_device rd;
std::mt19937 mt(rd());
// Weights must be in range [0, <1/64]
std::uniform_real_distribution dist(0.0, 0.0156245);
for (std::size_t i = 0; i < wp_points.size(); ++i) {
double value = dist(mt);
p_weights.push_back(value);
}
std::cout << "Cuboid is not iso exception" << std::endl;
using Weighted_periodic_alpha_complex_3d = Gudhi::alpha_complex::Alpha_complex_3d;
// Check it throws an exception when the cuboid is not iso
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 0.9, 1., 1.),
std::invalid_argument);
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 0.9, 1.),
std::invalid_argument);
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 0.9),
std::invalid_argument);
std::cout << "0 <= point.weight() < 1/64 * domain_size * domain_size exception" << std::endl;
// Weights must be in range [0, <1/64]
p_weights[25] = 1.0;
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
std::invalid_argument);
// Weights must be in range [0, <1/64]
p_weights[25] = 0.012;
p_weights[14] = -0.012;
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
std::invalid_argument);
p_weights[14] = 0.005;
std::cout << "wp_points and p_weights size exception" << std::endl;
// Weights and points must have the same size
// + 1
p_weights.push_back(0.007);
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
std::invalid_argument);
// - 1
p_weights.pop_back();
p_weights.pop_back();
BOOST_CHECK_THROW (Weighted_periodic_alpha_complex_3d periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.),
std::invalid_argument);
}
#endif
BOOST_AUTO_TEST_CASE(Alpha_complex_weighted_periodic) {
std::cout << "Weighted periodic alpha complex 3d" << std::endl;
std::vector wp_points;
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.0, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.2, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.4, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.1, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.6, 0.8, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.0, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.2, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.4, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.6));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.6, 0.8));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.0));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.2));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.4));
wp_points.push_back(Weighted_periodic_alpha_shapes_3d::Point_3(0.8, 0.8, 0.6));
std::vector p_weights;
std::random_device rd;
std::mt19937 mt(rd());
// Weights must be in range [0, <1/64]
std::uniform_real_distribution dist(0.01, 0.0156245);
for (std::size_t i = 0; i < wp_points.size(); ++i) {
double value = dist(mt);
p_weights.push_back(value);
}
using Weighted_periodic_alpha_complex_3d = Gudhi::alpha_complex::Alpha_complex_3d;
Weighted_periodic_alpha_complex_3d weighted_periodic_alpha_complex(wp_points, p_weights, 0., 0., 0., 1., 1., 1.);
Gudhi::Simplex_tree<> wp_stree;
weighted_periodic_alpha_complex.create_complex(wp_stree);
std::cout << "Weighted periodic Alpha complex 3d is of dimension " << wp_stree.dimension() << std::endl;
BOOST_CHECK(wp_stree.dimension() == 3);
std::cout << " num_simplices " << wp_stree.num_simplices() << std::endl;
BOOST_CHECK(wp_stree.num_simplices() >= 3100);
std::cout << " num_vertices " << wp_stree.num_vertices() << std::endl;
BOOST_CHECK(wp_stree.num_vertices() == 125);
}