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+/* This file is part of the Gudhi Library. The Gudhi library
+ * (Geometric Understanding in Higher Dimensions) is a generic C++
+ * library for computational topology.
+ *
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2015 INRIA Saclay (France)
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "alpha_complex"
+#include <boost/test/unit_test.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>
+
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dynamic_dimension_tag > Kernel_d;
+// The triangulation uses the default instantiation of the TriangulationDataStructure template parameter
+
+BOOST_AUTO_TEST_CASE(ALPHA_DOC_OFF_file) {
+ // ----------------------------------------------------------------------------
+ //
+ // 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::alphacomplex::Alpha_complex<Kernel_d> alpha_complex_from_file(off_file_name, max_alpha_square_value);
+
+ const int DIMENSION = 2;
+ std::cout << "alpha_complex_from_file.dimension()=" << alpha_complex_from_file.dimension() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.dimension() == DIMENSION);
+
+ const int NUMBER_OF_VERTICES = 7;
+ std::cout << "alpha_complex_from_file.num_vertices()=" << alpha_complex_from_file.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.num_vertices() == NUMBER_OF_VERTICES);
+
+ const int NUMBER_OF_SIMPLICES = 25;
+ std::cout << "alpha_complex_from_file.num_simplices()=" << alpha_complex_from_file.num_simplices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.num_simplices() == NUMBER_OF_SIMPLICES);
+
+}
+
+BOOST_AUTO_TEST_CASE(ALPHA_DOC_OFF_file_filtered) {
+ // ----------------------------------------------------------------------------
+ //
+ // Init of an alpha-complex from a OFF file
+ //
+ // ----------------------------------------------------------------------------
+ std::string off_file_name("alphacomplexdoc.off");
+ double max_alpha_square_value = 59.0;
+ std::cout << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
+ max_alpha_square_value << "==========" << std::endl;
+
+ // Use of the default dynamic kernel
+ Gudhi::alphacomplex::Alpha_complex<> alpha_complex_from_file(off_file_name, max_alpha_square_value);
+
+ const int DIMENSION = 2;
+ std::cout << "alpha_complex_from_file.dimension()=" << alpha_complex_from_file.dimension() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.dimension() == DIMENSION);
+
+ const int NUMBER_OF_VERTICES = 7;
+ std::cout << "alpha_complex_from_file.num_vertices()=" << alpha_complex_from_file.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.num_vertices() == NUMBER_OF_VERTICES);
+
+ const int NUMBER_OF_SIMPLICES = 23;
+ std::cout << "alpha_complex_from_file.num_simplices()=" << alpha_complex_from_file.num_simplices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.num_simplices() == NUMBER_OF_SIMPLICES);
+}
+
+bool are_almost_the_same(float a, float b) {
+ return std::fabs(a - b) < std::numeric_limits<float>::epsilon();
+}
+
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dimension_tag<4> > Kernel_s;
+typedef Kernel_s::Point_d Point;
+typedef std::vector<Point> Vector_of_points;
+
+
+bool is_point_in_list(Vector_of_points points_list, Point 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_of_points points;
+ std::vector<double> coords = { 0.0, 0.0, 0.0, 1.0 };
+ points.push_back(Point(coords.begin(), coords.end()));
+ coords = { 0.0, 0.0, 1.0, 0.0 };
+ points.push_back(Point(coords.begin(), coords.end()));
+ coords = { 0.0, 1.0, 0.0, 0.0 };
+ points.push_back(Point(coords.begin(), coords.end()));
+ coords = { 1.0, 0.0, 0.0, 0.0 };
+ points.push_back(Point(coords.begin(), coords.end()));
+
+ // ----------------------------------------------------------------------------
+ // Init of an alpha complex from the list of points
+ // ----------------------------------------------------------------------------
+ Gudhi::alphacomplex::Alpha_complex<Kernel_s> alpha_complex_from_points(points);
+
+ std::cout << "========== Alpha_complex_from_points ==========" << std::endl;
+
+ // 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 : alpha_complex_from_points.filtration_simplex_range()) {
+ num_simplices++;
+ std::cout << " ( ";
+ for (auto vertex : alpha_complex_from_points.simplex_vertex_range(f_simplex)) {
+ std::cout << vertex << " ";
+ }
+ std::cout << ") -> " << "[" << alpha_complex_from_points.filtration(f_simplex) << "] ";
+ std::cout << std::endl;
+ }
+ BOOST_CHECK(num_simplices == 15);
+ std::cout << "alpha_complex_from_points.num_simplices()=" << alpha_complex_from_points.num_simplices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_simplices() == 15);
+
+ std::cout << "alpha_complex_from_points.dimension()=" << alpha_complex_from_points.dimension() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.dimension() == 4);
+ std::cout << "alpha_complex_from_points.num_vertices()=" << alpha_complex_from_points.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_vertices() == 4);
+
+ for (auto f_simplex : alpha_complex_from_points.filtration_simplex_range()) {
+ switch (alpha_complex_from_points.dimension(f_simplex)) {
+ case 0:
+ BOOST_CHECK(are_almost_the_same(alpha_complex_from_points.filtration(f_simplex), 0.0));
+ break;
+ case 1:
+ BOOST_CHECK(are_almost_the_same(alpha_complex_from_points.filtration(f_simplex), 1.0/2.0));
+ break;
+ case 2:
+ BOOST_CHECK(are_almost_the_same(alpha_complex_from_points.filtration(f_simplex), 2.0/3.0));
+ break;
+ case 3:
+ BOOST_CHECK(are_almost_the_same(alpha_complex_from_points.filtration(f_simplex), 3.0/4.0));
+ break;
+ default:
+ BOOST_CHECK(false); // Shall not happen
+ break;
+ }
+ }
+
+ Point 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 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 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 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 = alpha_complex_from_points.prune_above_filtration(0.6);
+ if (modified) {
+ alpha_complex_from_points.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 : alpha_complex_from_points.filtration_simplex_range()) {
+ num_simplices++;
+ std::cout << " ( ";
+ for (auto vertex : alpha_complex_from_points.simplex_vertex_range(f_simplex)) {
+ std::cout << vertex << " ";
+ }
+ std::cout << ") -> " << "[" << alpha_complex_from_points.filtration(f_simplex) << "] ";
+ std::cout << std::endl;
+ }
+ BOOST_CHECK(num_simplices == 10);
+ std::cout << "alpha_complex_from_points.num_simplices()=" << alpha_complex_from_points.num_simplices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_simplices() == 10);
+
+ std::cout << "alpha_complex_from_points.dimension()=" << alpha_complex_from_points.dimension() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.dimension() == 4);
+ std::cout << "alpha_complex_from_points.num_vertices()=" << alpha_complex_from_points.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_vertices() == 4);
+
+ for (auto f_simplex : alpha_complex_from_points.filtration_simplex_range()) {
+ switch (alpha_complex_from_points.dimension(f_simplex)) {
+ case 0:
+ BOOST_CHECK(are_almost_the_same(alpha_complex_from_points.filtration(f_simplex), 0.0));
+ break;
+ case 1:
+ BOOST_CHECK(are_almost_the_same(alpha_complex_from_points.filtration(f_simplex), 1.0/2.0));
+ break;
+ default:
+ BOOST_CHECK(false); // Shall not happen
+ break;
+ }
+ }
+
+}