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diff --git a/src/Alpha_complex/test/Alpha_complex_3d_unit_test.cpp b/src/Alpha_complex/test/Alpha_complex_3d_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) 2015 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "alpha_complex_3d"
+#include <boost/test/unit_test.hpp>
+
+#include <cmath> // float comparison
+#include <limits>
+#include <string>
+#include <vector>
+#include <random>
+#include <cstddef> // for std::size_t
+
+#include <gudhi/Alpha_complex_3d.h>
+#include <gudhi/graph_simplicial_complex.h>
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Unitary_tests_utils.h>
+// to construct Alpha_complex from a OFF file of points
+#include <gudhi/Points_3D_off_io.h>
+
+#include <CGAL/Random.h>
+#include <CGAL/point_generators_3.h>
+
+using Fast_alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::FAST, false, false>;
+using Safe_alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, false, false>;
+using Exact_alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, false, false>;
+
+template <typename Point>
+std::vector<Point> get_points() {
+ std::vector<Point> points;
+ points.push_back(Point(0.0, 0.0, 0.0));
+ points.push_back(Point(0.0, 0.0, 0.2));
+ points.push_back(Point(0.2, 0.0, 0.2));
+ points.push_back(Point(0.6, 0.6, 0.0));
+ points.push_back(Point(0.8, 0.8, 0.2));
+ points.push_back(Point(0.2, 0.8, 0.6));
+
+ return points;
+}
+
+
+BOOST_AUTO_TEST_CASE(Alpha_complex_3d_from_points) {
+ // -----------------
+ // Fast version
+ // -----------------
+ std::cout << "Fast alpha complex 3d" << std::endl;
+
+ Fast_alpha_complex_3d alpha_complex(get_points<Fast_alpha_complex_3d::Point_3>());
+
+ Gudhi::Simplex_tree<> stree;
+ alpha_complex.create_complex(stree);
+
+ // -----------------
+ // Exact version
+ // -----------------
+ std::cout << "Exact alpha complex 3d" << std::endl;
+
+ Exact_alpha_complex_3d exact_alpha_complex(get_points<Exact_alpha_complex_3d::Point_3>());
+
+ 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() << " - Fast is "
+ << stree.dimension() << std::endl;
+ BOOST_CHECK(exact_stree.dimension() == stree.dimension());
+ std::cout << "Exact Alpha complex 3d num_simplices " << exact_stree.num_simplices() << " - Fast 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() << " - Fast is "
+ << stree.num_vertices() << std::endl;
+ BOOST_CHECK(exact_stree.num_vertices() == stree.num_vertices());
+
+ auto sh = stree.filtration_simplex_range().begin();
+ while (sh != stree.filtration_simplex_range().end()) {
+ std::vector<int> simplex;
+ std::vector<int> exact_simplex;
+ std::cout << "Fast ( ";
+ for (auto vertex : stree.simplex_vertex_range(*sh)) {
+ simplex.push_back(vertex);
+ std::cout << vertex << " ";
+ }
+ std::cout << ") -> [" << stree.filtration(*sh) << "] ";
+
+ // Find it in the exact structure
+ auto sh_exact = exact_stree.find(simplex);
+ BOOST_CHECK(sh_exact != exact_stree.null_simplex());
+
+ std::cout << " versus [" << exact_stree.filtration(sh_exact) << "] " << std::endl;
+ // 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;
+ }
+ // -----------------
+ // Safe version
+ // -----------------
+ std::cout << "Safe alpha complex 3d" << std::endl;
+
+ Safe_alpha_complex_3d safe_alpha_complex(get_points<Safe_alpha_complex_3d::Point_3>());
+
+ Gudhi::Simplex_tree<> safe_stree;
+ safe_alpha_complex.create_complex(safe_stree);
+
+ // ---------------------
+ // Compare both versions
+ // ---------------------
+ std::cout << "Safe Alpha complex 3d is of dimension " << safe_stree.dimension() << " - Fast is "
+ << stree.dimension() << std::endl;
+ BOOST_CHECK(safe_stree.dimension() == stree.dimension());
+ std::cout << "Safe Alpha complex 3d num_simplices " << safe_stree.num_simplices() << " - Fast is "
+ << stree.num_simplices() << std::endl;
+ BOOST_CHECK(safe_stree.num_simplices() == stree.num_simplices());
+ std::cout << "Safe Alpha complex 3d num_vertices " << safe_stree.num_vertices() << " - Fast is "
+ << stree.num_vertices() << std::endl;
+ BOOST_CHECK(safe_stree.num_vertices() == stree.num_vertices());
+
+ auto safe_sh = stree.filtration_simplex_range().begin();
+ while (safe_sh != stree.filtration_simplex_range().end()) {
+ std::vector<int> simplex;
+ std::vector<int> exact_simplex;
+ std::cout << "Fast ( ";
+ for (auto vertex : stree.simplex_vertex_range(*safe_sh)) {
+ simplex.push_back(vertex);
+ std::cout << vertex << " ";
+ }
+ std::cout << ") -> [" << stree.filtration(*safe_sh) << "] ";
+
+ // Find it in the exact structure
+ auto sh_exact = safe_stree.find(simplex);
+ BOOST_CHECK(sh_exact != safe_stree.null_simplex());
+
+ std::cout << " versus [" << safe_stree.filtration(sh_exact) << "] " << std::endl;
+ // Exact and non-exact version is not exactly the same due to float comparison
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(safe_stree.filtration(sh_exact), stree.filtration(*safe_sh), 1e-15);
+
+ ++safe_sh;
+ }
+}