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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"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <CGAL/Delaunay_triangulation.h>
+#include <CGAL/Epick_d.h>
+
+#include <cmath> // float comparison
+#include <limits>
+#include <string>
+#include <vector>
+
+#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>
+
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dynamic_dimension_tag > Kernel_d;
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dimension_tag<3> > Kernel_s;
+// The triangulation uses the default instantiation of the TriangulationDataStructure template parameter
+
+typedef boost::mpl::list<Kernel_d, Kernel_s> list_of_kernel_variants;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_from_OFF_file, TestedKernel, list_of_kernel_variants) {
+ // ----------------------------------------------------------------------------
+ //
+ // Init of an alpha-complex from a OFF file
+ //
+ // ----------------------------------------------------------------------------
+ std::string off_file_name("alphacomplexdoc.off");
+ double max_alpha_square_value = 60.0;
+ std::cout << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
+ max_alpha_square_value << "==========" << std::endl;
+
+ Gudhi::alpha_complex::Alpha_complex<TestedKernel> alpha_complex_from_file(off_file_name);
+
+ std::cout << "alpha_complex_from_points.number_of_vertices()=" << alpha_complex_from_file.number_of_vertices()
+ << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.number_of_vertices() == 7);
+
+ Gudhi::Simplex_tree<> simplex_tree_60;
+ BOOST_CHECK(alpha_complex_from_file.create_complex(simplex_tree_60, max_alpha_square_value));
+
+ std::cout << "simplex_tree_60.dimension()=" << simplex_tree_60.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree_60.dimension() == 2);
+
+ std::cout << "alpha_complex_from_points.number_of_vertices()=" << alpha_complex_from_file.number_of_vertices()
+ << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.number_of_vertices() == 7);
+
+ std::cout << "simplex_tree_60.num_vertices()=" << simplex_tree_60.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree_60.num_vertices() == 7);
+
+ std::cout << "simplex_tree_60.num_simplices()=" << simplex_tree_60.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree_60.num_simplices() == 25);
+
+ max_alpha_square_value = 59.0;
+ std::cout << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
+ max_alpha_square_value << "==========" << std::endl;
+
+ Gudhi::Simplex_tree<> simplex_tree_59;
+ BOOST_CHECK(alpha_complex_from_file.create_complex(simplex_tree_59, max_alpha_square_value));
+
+ std::cout << "simplex_tree_59.dimension()=" << simplex_tree_59.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree_59.dimension() == 2);
+
+ std::cout << "simplex_tree_59.num_vertices()=" << simplex_tree_59.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree_59.num_vertices() == 7);
+
+ std::cout << "simplex_tree_59.num_simplices()=" << simplex_tree_59.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree_59.num_simplices() == 23);
+}
+
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dimension_tag<4> > Kernel_4;
+typedef Kernel_4::Point_d Point_4;
+typedef std::vector<Point_4> Vector_4_Points;
+
+bool is_point_in_list(Vector_4_Points points_list, Point_4 point) {
+ for (auto& point_in_list : points_list) {
+ if (point_in_list == point) {
+ return true; // point found
+ }
+ }
+ return false; // point not found
+}
+
+BOOST_AUTO_TEST_CASE(Alpha_complex_from_points) {
+ // ----------------------------------------------------------------------------
+ // Init of a list of points
+ // ----------------------------------------------------------------------------
+ Vector_4_Points points;
+ std::vector<double> coords = { 0.0, 0.0, 0.0, 1.0 };
+ points.push_back(Point_4(coords.begin(), coords.end()));
+ coords = { 0.0, 0.0, 1.0, 0.0 };
+ points.push_back(Point_4(coords.begin(), coords.end()));
+ coords = { 0.0, 1.0, 0.0, 0.0 };
+ points.push_back(Point_4(coords.begin(), coords.end()));
+ coords = { 1.0, 0.0, 0.0, 0.0 };
+ points.push_back(Point_4(coords.begin(), coords.end()));
+
+ // ----------------------------------------------------------------------------
+ // Init of an alpha complex from the list of points
+ // ----------------------------------------------------------------------------
+ Gudhi::alpha_complex::Alpha_complex<Kernel_4> alpha_complex_from_points(points);
+
+ std::cout << "========== Alpha_complex_from_points ==========" << std::endl;
+
+ Gudhi::Simplex_tree<> simplex_tree;
+ BOOST_CHECK(alpha_complex_from_points.create_complex(simplex_tree));
+
+ std::cout << "alpha_complex_from_points.number_of_vertices()=" << alpha_complex_from_points.number_of_vertices()
+ << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.number_of_vertices() == points.size());
+
+ // Another way to check num_simplices
+ std::cout << "Iterator on alpha complex simplices in the filtration order, with [filtration value]:" << std::endl;
+ int num_simplices = 0;
+ for (auto f_simplex : simplex_tree.filtration_simplex_range()) {
+ num_simplices++;
+ std::cout << " ( ";
+ for (auto vertex : simplex_tree.simplex_vertex_range(f_simplex)) {
+ std::cout << vertex << " ";
+ }
+ std::cout << ") -> " << "[" << simplex_tree.filtration(f_simplex) << "] ";
+ std::cout << std::endl;
+ }
+ BOOST_CHECK(num_simplices == 15);
+ std::cout << "simplex_tree.num_simplices()=" << simplex_tree.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_simplices() == 15);
+
+ std::cout << "simplex_tree.dimension()=" << simplex_tree.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree.dimension() == 3);
+ std::cout << "simplex_tree.num_vertices()=" << simplex_tree.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_vertices() == 4);
+
+ for (auto f_simplex : simplex_tree.filtration_simplex_range()) {
+ switch (simplex_tree.dimension(f_simplex)) {
+ case 0:
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(simplex_tree.filtration(f_simplex), 0.0);
+ break;
+ case 1:
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(simplex_tree.filtration(f_simplex), 1.0/2.0);
+ break;
+ case 2:
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(simplex_tree.filtration(f_simplex), 2.0/3.0);
+ break;
+ case 3:
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(simplex_tree.filtration(f_simplex), 3.0/4.0);
+ break;
+ default:
+ BOOST_CHECK(false); // Shall not happen
+ break;
+ }
+ }
+
+ Point_4 p0 = alpha_complex_from_points.get_point(0);
+ std::cout << "alpha_complex_from_points.get_point(0)=" << p0 << std::endl;
+ BOOST_CHECK(4 == p0.dimension());
+ BOOST_CHECK(is_point_in_list(points, p0));
+
+ Point_4 p1 = alpha_complex_from_points.get_point(1);
+ std::cout << "alpha_complex_from_points.get_point(1)=" << p1 << std::endl;
+ BOOST_CHECK(4 == p1.dimension());
+ BOOST_CHECK(is_point_in_list(points, p1));
+
+ Point_4 p2 = alpha_complex_from_points.get_point(2);
+ std::cout << "alpha_complex_from_points.get_point(2)=" << p2 << std::endl;
+ BOOST_CHECK(4 == p2.dimension());
+ BOOST_CHECK(is_point_in_list(points, p2));
+
+ Point_4 p3 = alpha_complex_from_points.get_point(3);
+ std::cout << "alpha_complex_from_points.get_point(3)=" << p3 << std::endl;
+ BOOST_CHECK(4 == p3.dimension());
+ BOOST_CHECK(is_point_in_list(points, p3));
+
+ // Test to the limit
+ BOOST_CHECK_THROW (alpha_complex_from_points.get_point(4), std::out_of_range);
+ BOOST_CHECK_THROW (alpha_complex_from_points.get_point(-1), std::out_of_range);
+ BOOST_CHECK_THROW (alpha_complex_from_points.get_point(1234), std::out_of_range);
+
+ // Test after prune_above_filtration
+ bool modified = simplex_tree.prune_above_filtration(0.6);
+ if (modified) {
+ simplex_tree.initialize_filtration();
+ }
+ BOOST_CHECK(modified);
+
+ // Another way to check num_simplices
+ std::cout << "Iterator on alpha complex simplices in the filtration order, with [filtration value]:" << std::endl;
+ num_simplices = 0;
+ for (auto f_simplex : simplex_tree.filtration_simplex_range()) {
+ num_simplices++;
+ std::cout << " ( ";
+ for (auto vertex : simplex_tree.simplex_vertex_range(f_simplex)) {
+ std::cout << vertex << " ";
+ }
+ std::cout << ") -> " << "[" << simplex_tree.filtration(f_simplex) << "] ";
+ std::cout << std::endl;
+ }
+ BOOST_CHECK(num_simplices == 10);
+ std::cout << "simplex_tree.num_simplices()=" << simplex_tree.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_simplices() == 10);
+
+ std::cout << "simplex_tree.dimension()=" << simplex_tree.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree.dimension() == 1);
+ std::cout << "simplex_tree.num_vertices()=" << simplex_tree.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_vertices() == 4);
+
+ for (auto f_simplex : simplex_tree.filtration_simplex_range()) {
+ switch (simplex_tree.dimension(f_simplex)) {
+ case 0:
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(simplex_tree.filtration(f_simplex), 0.0);
+ break;
+ case 1:
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(simplex_tree.filtration(f_simplex), 1.0/2.0);
+ break;
+ default:
+ BOOST_CHECK(false); // Shall not happen
+ break;
+ }
+ }
+
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_from_empty_points, TestedKernel, list_of_kernel_variants) {
+ std::cout << "========== Alpha_complex_from_empty_points ==========" << std::endl;
+
+ // ----------------------------------------------------------------------------
+ // Init of an empty list of points
+ // ----------------------------------------------------------------------------
+ std::vector<typename TestedKernel::Point_d> points;
+
+ // ----------------------------------------------------------------------------
+ // Init of an alpha complex from the list of points
+ // ----------------------------------------------------------------------------
+ Gudhi::alpha_complex::Alpha_complex<TestedKernel> alpha_complex_from_points(points);
+
+ // Test to the limit
+ BOOST_CHECK_THROW (alpha_complex_from_points.get_point(0), std::out_of_range);
+
+ Gudhi::Simplex_tree<> simplex_tree;
+ BOOST_CHECK(!alpha_complex_from_points.create_complex(simplex_tree));
+
+ std::cout << "alpha_complex_from_points.number_of_vertices()=" << alpha_complex_from_points.number_of_vertices()
+ << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.number_of_vertices() == points.size());
+
+ std::cout << "simplex_tree.num_simplices()=" << simplex_tree.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_simplices() == 0);
+
+ std::cout << "simplex_tree.dimension()=" << simplex_tree.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree.dimension() == -1);
+
+ std::cout << "simplex_tree.num_vertices()=" << simplex_tree.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_vertices() == 0);
+}