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diff --git a/src/Coxeter_triangulation/test/cell_complex_test.cpp b/src/Coxeter_triangulation/test/cell_complex_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): Siargey Kachanovich
+ *
+ * Copyright (C) 2019 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "cell_complex"
+#include <boost/test/unit_test.hpp>
+#include <gudhi/Unitary_tests_utils.h>
+
+#include <gudhi/Debug_utils.h>
+#include <gudhi/IO/output_debug_traces_to_html.h>
+#include <iostream>
+
+#include <gudhi/Coxeter_triangulation.h>
+#include <gudhi/Functions/Function_Sm_in_Rd.h>
+#include <gudhi/Functions/Function_torus_in_R3.h>
+#include <gudhi/Implicit_manifold_intersection_oracle.h>
+#include <gudhi/Manifold_tracing.h>
+#include <gudhi/Coxeter_triangulation/Cell_complex/Cell_complex.h>
+
+using namespace Gudhi::coxeter_triangulation;
+
+BOOST_AUTO_TEST_CASE(cell_complex) {
+ double radius = 1.1111;
+ Function_torus_in_R3 fun_torus(radius, 3 * radius);
+ Eigen::VectorXd seed = fun_torus.seed();
+ Function_Sm_in_Rd fun_bound(2.5 * radius, 2, seed);
+
+ auto oracle = make_oracle(fun_torus, fun_bound);
+ double lambda = 0.2;
+ Coxeter_triangulation<> cox_tr(oracle.amb_d());
+ cox_tr.change_offset(Eigen::VectorXd::Random(oracle.amb_d()));
+ cox_tr.change_matrix(lambda * cox_tr.matrix());
+
+ using MT = Manifold_tracing<Coxeter_triangulation<> >;
+ using Out_simplex_map = typename MT::Out_simplex_map;
+ std::vector<Eigen::VectorXd> seed_points(1, seed);
+ Out_simplex_map interior_simplex_map, boundary_simplex_map;
+ manifold_tracing_algorithm(seed_points, cox_tr, oracle, interior_simplex_map, boundary_simplex_map);
+
+ std::size_t intr_d = oracle.amb_d() - oracle.cod_d();
+ Cell_complex<Out_simplex_map> cell_complex(intr_d);
+ cell_complex.construct_complex(interior_simplex_map, boundary_simplex_map);
+
+ std::size_t interior_sc_map_size0 = cell_complex.interior_simplex_cell_map(0).size();
+ std::size_t interior_sc_map_size1 = cell_complex.interior_simplex_cell_map(1).size();
+ std::size_t interior_sc_map_size2 = cell_complex.interior_simplex_cell_map(2).size();
+ std::size_t boundary_sc_map_size0 = cell_complex.boundary_simplex_cell_map(0).size();
+ std::size_t boundary_sc_map_size1 = cell_complex.boundary_simplex_cell_map(1).size();
+ BOOST_CHECK(interior_simplex_map.size() == interior_sc_map_size0);
+ BOOST_CHECK(boundary_sc_map_size0 - boundary_sc_map_size1 == 0);
+ BOOST_CHECK(interior_sc_map_size0 - interior_sc_map_size1 + interior_sc_map_size2 == 0);
+}