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diff --git a/src/Alpha_complex/test/Delaunay_complex_Epick_static_unit_test.cpp b/src/Alpha_complex/test/Delaunay_complex_Epick_static_unit_test.cpp
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+/* 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): Vincent Rouvreau
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "delaunay_complex_inexact_kernel_static"
+#include <boost/test/unit_test.hpp>
+
+#include <CGAL/Epick_d.h>
+
+#include <vector>
+#include <limits> // NaN
+#include <cmath>
+
+#include <gudhi/Alpha_complex.h>
+// to construct a simplex_tree from Delaunay_triangulation
+#include <gudhi/graph_simplicial_complex.h>
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Unitary_tests_utils.h>
+#include <gudhi/random_point_generators.h>
+
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dimension_tag<5> > Inexact_kernel_s;
+
+using Simplex_tree = Gudhi::Simplex_tree<>;
+using Simplex_handle = Simplex_tree::Simplex_handle;
+
+BOOST_AUTO_TEST_CASE(Delaunay_complex_inexact_kernel_static_simplices_comparison) {
+ std::cout << "*****************************************************************************************************";
+ using Point = typename Inexact_kernel_s::Point_d;
+ std::vector<Point> points;
+ // 50 points on a 4-sphere
+ points = Gudhi::generate_points_on_sphere_d<Inexact_kernel_s>(10, 5, 1.);
+
+ Gudhi::alpha_complex::Alpha_complex<Inexact_kernel_s> alpha_complex(points);
+
+ // Alpha complex
+ Simplex_tree stree_from_alpha_complex;
+ BOOST_CHECK(alpha_complex.create_complex(stree_from_alpha_complex));
+
+ // Delaunay complex
+ Simplex_tree stree_from_delaunay_complex;
+ BOOST_CHECK(alpha_complex.create_complex(stree_from_delaunay_complex, 0., false, true));
+
+ // Check all the simplices from alpha complex are in the Delaunay complex
+ for (auto f_simplex : stree_from_alpha_complex.complex_simplex_range()) {
+ Simplex_handle sh = stree_from_delaunay_complex.find(stree_from_alpha_complex.simplex_vertex_range(f_simplex));
+ BOOST_CHECK(std::isnan(stree_from_delaunay_complex.filtration(sh)));
+ BOOST_CHECK(sh != stree_from_delaunay_complex.null_simplex());
+ }
+}