1 files changed, 49 insertions, 0 deletions
diff --git a/src/Persistence_representations/test/kernels.cpp b/src/Persistence_representations/test/kernels.cpp
new file mode 100644
index 00000000..63089538
--- /dev/null
+++ b/src/Persistence_representations/test/kernels.cpp
@@ -0,0 +1,49 @@
+/*    This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ *    See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ *    Author(s):       Mathieu Carrière
+ *
+ *    Copyright (C) 2018  INRIA
+ *
+ *    Modification(s):
+ *      - YYYY/MM Author: Description of the modification
+ */
+
+#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);
+}