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/* 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): Mathieu Carrière
*
* Copyright (C) 2018 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 <http://www.gnu.org/licenses/>.
*/
#define BOOST_TEST_DYN_LINK
#define BOOST_TEST_MODULE "kernel"
#include <boost/test/unit_test.hpp>
#include <cmath> // float comparison
#include <limits>
#include <string>
#include <vector>
#include <algorithm> // std::max
#include <gudhi/Persistence_heat_maps.h>
#include <gudhi/common_persistence_representations.h>
#include <gudhi/Sliced_Wasserstein.h>
#include <gudhi/distance_functions.h>
#include <gudhi/reader_utils.h>
using constant_scaling_function = Gudhi::Persistence_representations::constant_scaling_function;
using SW = Gudhi::Persistence_representations::Sliced_Wasserstein;
using PWG = Gudhi::Persistence_representations::Persistence_heat_maps<constant_scaling_function>;
using Persistence_diagram = std::vector<std::pair<double,double> >;
std::function<double(std::pair<double, double>, std::pair<double, double>)> Gaussian_function(double sigma){
return [=](std::pair<double, double> p, std::pair<double, double> q){
return (1/std::sqrt(2*Gudhi::Persistence_representations::pi)*sigma) * std::exp( -( (p.first-q.first)*(p.first-q.first) + (p.second-q.second)*(p.second-q.second) )/(2*sigma) );
};
}
BOOST_AUTO_TEST_CASE(check_PWG) {
Persistence_diagram v1, v2; v1.emplace_back(0,1); v2.emplace_back(0,2);
PWG pwg1(v1, Gaussian_function(1.0));
PWG pwg2(v2, Gaussian_function(1.0));
BOOST_CHECK(std::abs(pwg1.compute_scalar_product(pwg2) - std::exp(-0.5)/(std::sqrt(2*Gudhi::Persistence_representations::pi))) <= 1e-3);
}
BOOST_AUTO_TEST_CASE(check_SW) {
Persistence_diagram v1, v2; v1.emplace_back(0,1); v2.emplace_back(0,2);
SW sw1(v1, 1.0, 100); SW swex1(v1, 1.0, -1);
SW sw2(v2, 1.0, 100); SW swex2(v2, 1.0, -1);
BOOST_CHECK(std::abs(sw1.compute_scalar_product(sw2) - swex1.compute_scalar_product(swex2)) <= 1e-1);
}
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