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Diffstat (limited to 'src/Cech_complex/test/test_cech_complex.cpp')
| -rw-r--r-- | src/Cech_complex/test/test_cech_complex.cpp | 252 |
1 files changed, 252 insertions, 0 deletions
diff --git a/src/Cech_complex/test/test_cech_complex.cpp b/src/Cech_complex/test/test_cech_complex.cpp new file mode 100644 index 00000000..c6b15d7f --- /dev/null +++ b/src/Cech_complex/test/test_cech_complex.cpp @@ -0,0 +1,252 @@ +/* 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) 2018 Inria + * + * Modification(s): + * - YYYY/MM Author: Description of the modification + */ + +#define BOOST_TEST_DYN_LINK +#define BOOST_TEST_MODULE "cech_complex" +#include <boost/test/unit_test.hpp> + +#include <cmath> // float comparison +#include <limits> +#include <string> +#include <vector> +#include <algorithm> // std::max + +#include <gudhi/Cech_complex.h> +// to construct Cech_complex from a OFF file of points +#include <gudhi/Points_off_io.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Unitary_tests_utils.h> +#include <gudhi/Miniball.hpp> + +// Type definitions +using Simplex_tree = Gudhi::Simplex_tree<>; +using Filtration_value = Simplex_tree::Filtration_value; +using Point = std::vector<Filtration_value>; +using Point_cloud = std::vector<Point>; +using Points_off_reader = Gudhi::Points_off_reader<Point>; +using Cech_complex = Gudhi::cech_complex::Cech_complex<Simplex_tree, Point_cloud>; + +using Point_iterator = Point_cloud::const_iterator; +using Coordinate_iterator = Point::const_iterator; +using Min_sphere = Gudhi::Miniball::Miniball<Gudhi::Miniball::CoordAccessor<Point_iterator, Coordinate_iterator>>; + +BOOST_AUTO_TEST_CASE(Cech_complex_for_documentation) { + // ---------------------------------------------------------------------------- + // + // Init of a Cech complex from a point cloud + // + // ---------------------------------------------------------------------------- + Point_cloud points; + points.push_back({1., 0.}); // 0 + points.push_back({0., 1.}); // 1 + points.push_back({2., 1.}); // 2 + points.push_back({3., 2.}); // 3 + points.push_back({0., 3.}); // 4 + points.push_back({3. + std::sqrt(3.), 3.}); // 5 + points.push_back({1., 4.}); // 6 + points.push_back({3., 4.}); // 7 + points.push_back({2., 4. + std::sqrt(3.)}); // 8 + points.push_back({0., 4.}); // 9 + points.push_back({-0.5, 2.}); // 10 + + Filtration_value max_radius = 1.0; + std::cout << "========== NUMBER OF POINTS = " << points.size() << " - Cech max_radius = " << max_radius + << "==========" << std::endl; + + Cech_complex cech_complex_for_doc(points, max_radius); + + GUDHI_TEST_FLOAT_EQUALITY_CHECK(cech_complex_for_doc.max_radius(), max_radius); + std::size_t i = 0; + for (; i < points.size(); i++) { + BOOST_CHECK(points[i] == cech_complex_for_doc.get_point(i)); + } + + const int DIMENSION_1 = 1; + Simplex_tree st; + cech_complex_for_doc.create_complex(st, DIMENSION_1); + std::cout << "st.dimension()=" << st.dimension() << std::endl; + BOOST_CHECK(st.dimension() == DIMENSION_1); + + const int NUMBER_OF_VERTICES = 11; + std::cout << "st.num_vertices()=" << st.num_vertices() << std::endl; + BOOST_CHECK(st.num_vertices() == NUMBER_OF_VERTICES); + + std::cout << "st.num_simplices()=" << st.num_simplices() << std::endl; + BOOST_CHECK(st.num_simplices() == 27); + + // Check filtration values of vertices is 0.0 + for (auto f_simplex : st.skeleton_simplex_range(0)) { + BOOST_CHECK(st.filtration(f_simplex) == 0.0); + } + + // Check filtration values of edges + for (auto f_simplex : st.skeleton_simplex_range(DIMENSION_1)) { + if (DIMENSION_1 == st.dimension(f_simplex)) { + std::vector<Point> vp; + std::cout << "vertex = ("; + for (auto vertex : st.simplex_vertex_range(f_simplex)) { + std::cout << vertex << ","; + vp.push_back(points.at(vertex)); + } + std::cout << ") - distance =" << Gudhi::Minimal_enclosing_ball_radius()(vp.at(0), vp.at(1)) + << " - filtration =" << st.filtration(f_simplex) << std::endl; + BOOST_CHECK(vp.size() == 2); + GUDHI_TEST_FLOAT_EQUALITY_CHECK(st.filtration(f_simplex), + Gudhi::Minimal_enclosing_ball_radius()(vp.at(0), vp.at(1))); + } + } + + const int DIMENSION_2 = 2; + +#ifdef GUDHI_DEBUG + BOOST_CHECK_THROW(cech_complex_for_doc.create_complex(st, DIMENSION_2), std::invalid_argument); +#endif + + Simplex_tree st2; + cech_complex_for_doc.create_complex(st2, DIMENSION_2); + std::cout << "st2.dimension()=" << st2.dimension() << std::endl; + BOOST_CHECK(st2.dimension() == DIMENSION_2); + + std::cout << "st2.num_vertices()=" << st2.num_vertices() << std::endl; + BOOST_CHECK(st2.num_vertices() == NUMBER_OF_VERTICES); + + std::cout << "st2.num_simplices()=" << st2.num_simplices() << std::endl; + BOOST_CHECK(st2.num_simplices() == 30); + + Point_cloud points012; + for (std::size_t vertex = 0; vertex <= 2; vertex++) { + points012.push_back(cech_complex_for_doc.get_point(vertex)); + } + std::size_t dimension = points[0].end() - points[0].begin(); + Min_sphere ms012(dimension, points012.begin(), points012.end()); + + Simplex_tree::Filtration_value f012 = st2.filtration(st2.find({0, 1, 2})); + std::cout << "f012= " << f012 << " | ms012_radius= " << std::sqrt(ms012.squared_radius()) << std::endl; + + GUDHI_TEST_FLOAT_EQUALITY_CHECK(f012, std::sqrt(ms012.squared_radius())); + + Point_cloud points1410; + points1410.push_back(cech_complex_for_doc.get_point(1)); + points1410.push_back(cech_complex_for_doc.get_point(4)); + points1410.push_back(cech_complex_for_doc.get_point(10)); + Min_sphere ms1410(dimension, points1410.begin(), points1410.end()); + + Simplex_tree::Filtration_value f1410 = st2.filtration(st2.find({1, 4, 10})); + std::cout << "f1410= " << f1410 << " | ms1410_radius= " << std::sqrt(ms1410.squared_radius()) << std::endl; + + GUDHI_TEST_FLOAT_EQUALITY_CHECK(f1410, std::sqrt(ms1410.squared_radius())); + + Point_cloud points469; + points469.push_back(cech_complex_for_doc.get_point(4)); + points469.push_back(cech_complex_for_doc.get_point(6)); + points469.push_back(cech_complex_for_doc.get_point(9)); + Min_sphere ms469(dimension, points469.begin(), points469.end()); + + Simplex_tree::Filtration_value f469 = st2.filtration(st2.find({4, 6, 9})); + std::cout << "f469= " << f469 << " | ms469_radius= " << std::sqrt(ms469.squared_radius()) << std::endl; + + GUDHI_TEST_FLOAT_EQUALITY_CHECK(f469, std::sqrt(ms469.squared_radius())); + + BOOST_CHECK((st2.find({6, 7, 8}) == st2.null_simplex())); + BOOST_CHECK((st2.find({3, 5, 7}) == st2.null_simplex())); +} + +BOOST_AUTO_TEST_CASE(Cech_complex_from_points) { + // ---------------------------------------------------------------------------- + // Init of a list of points + // ---------------------------------------------------------------------------- + Point_cloud 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 a Cech complex from the list of points + // ---------------------------------------------------------------------------- + Cech_complex cech_complex_from_points(points, 2.0); + + std::cout << "========== cech_complex_from_points ==========" << std::endl; + Simplex_tree st; + const int DIMENSION = 3; + cech_complex_from_points.create_complex(st, DIMENSION); + + // Another way to check num_simplices + std::cout << "Iterator on Cech complex simplices in the filtration order, with [filtration value]:" << std::endl; + int num_simplices = 0; + for (auto f_simplex : st.filtration_simplex_range()) { + num_simplices++; + std::cout << " ( "; + for (auto vertex : st.simplex_vertex_range(f_simplex)) { + std::cout << vertex << " "; + } + std::cout << ") -> " + << "[" << st.filtration(f_simplex) << "] "; + std::cout << std::endl; + } + BOOST_CHECK(num_simplices == 15); + std::cout << "st.num_simplices()=" << st.num_simplices() << std::endl; + BOOST_CHECK(st.num_simplices() == 15); + + std::cout << "st.dimension()=" << st.dimension() << std::endl; + BOOST_CHECK(st.dimension() == DIMENSION); + std::cout << "st.num_vertices()=" << st.num_vertices() << std::endl; + BOOST_CHECK(st.num_vertices() == 4); + + for (auto f_simplex : st.filtration_simplex_range()) { + std::cout << "dimension(" << st.dimension(f_simplex) << ") - f = " << st.filtration(f_simplex) << std::endl; + switch (st.dimension(f_simplex)) { + case 0: + GUDHI_TEST_FLOAT_EQUALITY_CHECK(st.filtration(f_simplex), 0.0); + break; + case 1: + GUDHI_TEST_FLOAT_EQUALITY_CHECK(st.filtration(f_simplex), 0.707107, .00001); + break; + case 2: + GUDHI_TEST_FLOAT_EQUALITY_CHECK(st.filtration(f_simplex), 0.816497, .00001); + break; + case 3: + GUDHI_TEST_FLOAT_EQUALITY_CHECK(st.filtration(f_simplex), 0.866025, .00001); + break; + default: + BOOST_CHECK(false); // Shall not happen + break; + } + } +} + +#ifdef GUDHI_DEBUG +BOOST_AUTO_TEST_CASE(Cech_create_complex_throw) { + // ---------------------------------------------------------------------------- + // + // Init of a Cech complex from a OFF file + // + // ---------------------------------------------------------------------------- + std::string off_file_name("alphacomplexdoc.off"); + double max_radius = 12.0; + std::cout << "========== OFF FILE NAME = " << off_file_name << " - Cech max_radius=" << max_radius + << "==========" << std::endl; + + Gudhi::Points_off_reader<Point> off_reader(off_file_name); + Cech_complex cech_complex_from_file(off_reader.get_point_cloud(), max_radius); + + Simplex_tree stree; + std::vector<int> simplex = {0, 1, 2}; + stree.insert_simplex_and_subfaces(simplex); + std::cout << "Check exception throw in debug mode" << std::endl; + // throw excpt because stree is not empty + BOOST_CHECK_THROW(cech_complex_from_file.create_complex(stree, 1), std::invalid_argument); +} +#endif |