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Diffstat (limited to 'src/Bottleneck_distance/test/bottleneck_unit_test.cpp')
-rw-r--r-- | src/Bottleneck_distance/test/bottleneck_unit_test.cpp | 167 |
1 files changed, 167 insertions, 0 deletions
diff --git a/src/Bottleneck_distance/test/bottleneck_unit_test.cpp b/src/Bottleneck_distance/test/bottleneck_unit_test.cpp new file mode 100644 index 00000000..e39613b3 --- /dev/null +++ b/src/Bottleneck_distance/test/bottleneck_unit_test.cpp @@ -0,0 +1,167 @@ +/* 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: Francois Godi + * + * Copyright (C) 2015 INRIA + * + * 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 "bottleneck distance" +#include <boost/test/unit_test.hpp> + +#include <random> +#include <gudhi/Bottleneck.h> + +using namespace Gudhi::persistence_diagram; + +int n1 = 81; // a natural number >0 +int n2 = 180; // a natural number >0 +double upper_bound = 406.43; // any real >0 + + +std::uniform_real_distribution<double> unif(0., upper_bound); +std::default_random_engine re; +std::vector< std::pair<double, double> > v1, v2; + +BOOST_AUTO_TEST_CASE(persistence_graph) { + // Random construction + for (int i = 0; i < n1; i++) { + double a = unif(re); + double b = unif(re); + v1.emplace_back(std::min(a, b), std::max(a, b)); + } + for (int i = 0; i < n2; i++) { + double a = unif(re); + double b = unif(re); + v2.emplace_back(std::min(a, b), std::max(a, b)); + } + Persistence_graph g(v1, v2, 0.); + std::vector<double> d(g.sorted_distances()); + // + BOOST_CHECK(!g.on_the_u_diagonal(n1 - 1)); + BOOST_CHECK(!g.on_the_u_diagonal(n1)); + BOOST_CHECK(!g.on_the_u_diagonal(n2 - 1)); + BOOST_CHECK(g.on_the_u_diagonal(n2)); + BOOST_CHECK(!g.on_the_v_diagonal(n1 - 1)); + BOOST_CHECK(g.on_the_v_diagonal(n1)); + BOOST_CHECK(g.on_the_v_diagonal(n2 - 1)); + BOOST_CHECK(g.on_the_v_diagonal(n2)); + // + BOOST_CHECK(g.corresponding_point_in_u(0) == n2); + BOOST_CHECK(g.corresponding_point_in_u(n1) == 0); + BOOST_CHECK(g.corresponding_point_in_v(0) == n1); + BOOST_CHECK(g.corresponding_point_in_v(n2) == 0); + // + BOOST_CHECK(g.size() == (n1 + n2)); + // + BOOST_CHECK((int) d.size() == (n1 + n2)*(n1 + n2) + n1 + n2 + 1); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(0, 0)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(0, n1 - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(0, n1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(0, n2 - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(0, n2)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(0, (n1 + n2) - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(n1, 0)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(n1, n1 - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(n1, n1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(n1, n2 - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(n1, n2)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance(n1, (n1 + n2) - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance((n1 + n2) - 1, 0)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance((n1 + n2) - 1, n1 - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance((n1 + n2) - 1, n1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance((n1 + n2) - 1, n2 - 1)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance((n1 + n2) - 1, n2)) > 0); + BOOST_CHECK(std::count(d.begin(), d.end(), g.distance((n1 + n2) - 1, (n1 + n2) - 1)) > 0); +} + +BOOST_AUTO_TEST_CASE(neighbors_finder) { + Persistence_graph g(v1, v2, 0.); + Neighbors_finder nf(g, 1.); + for (int v_point_index = 1; v_point_index < ((n2 + n1)*9 / 10); v_point_index += 2) + nf.add(v_point_index); + // + int v_point_index_1 = nf.pull_near(n2 / 2); + BOOST_CHECK((v_point_index_1 == -1) || (g.distance(n2 / 2, v_point_index_1) <= 1.)); + std::vector<int> l = nf.pull_all_near(n2 / 2); + bool v = true; + for (auto it = l.cbegin(); it != l.cend(); ++it) + v = v && (g.distance(n2 / 2, *it) > 1.); + BOOST_CHECK(v); + int v_point_index_2 = nf.pull_near(n2 / 2); + BOOST_CHECK(v_point_index_2 == -1); +} + +BOOST_AUTO_TEST_CASE(layered_neighbors_finder) { + Persistence_graph g(v1, v2, 0.); + Layered_neighbors_finder lnf(g, 1.); + for (int v_point_index = 1; v_point_index < ((n2 + n1)*9 / 10); v_point_index += 2) + lnf.add(v_point_index, v_point_index % 7); + // + int v_point_index_1 = lnf.pull_near(n2 / 2, 6); + BOOST_CHECK((v_point_index_1 == -1) || (g.distance(n2 / 2, v_point_index_1) <= 1.)); + int v_point_index_2 = lnf.pull_near(n2 / 2, 6); + BOOST_CHECK(v_point_index_2 == -1); + v_point_index_1 = lnf.pull_near(n2 / 2, 0); + BOOST_CHECK((v_point_index_1 == -1) || (g.distance(n2 / 2, v_point_index_1) <= 1.)); + v_point_index_2 = lnf.pull_near(n2 / 2, 0); + BOOST_CHECK(v_point_index_2 == -1); +} + +BOOST_AUTO_TEST_CASE(graph_matching) { + Persistence_graph g(v1, v2, 0.); + Graph_matching m1(g); + m1.set_r(0.); + int e = 0; + while (m1.multi_augment()) + ++e; + BOOST_CHECK(e > 0); + BOOST_CHECK(e <= 2 * sqrt(2 * (n1 + n2))); + Graph_matching m2 = m1; + BOOST_CHECK(!m2.multi_augment()); + m2.set_r(upper_bound); + e = 0; + while (m2.multi_augment()) + ++e; + BOOST_CHECK(e <= 2 * sqrt(2 * (n1 + n2))); + BOOST_CHECK(m2.perfect()); + BOOST_CHECK(!m1.perfect()); +} + +BOOST_AUTO_TEST_CASE(global) { + std::uniform_real_distribution<double> unif1(0., upper_bound); + std::uniform_real_distribution<double> unif2(upper_bound / 10000., upper_bound / 100.); + std::default_random_engine re; + std::vector< std::pair<double, double> > v1, v2; + for (int i = 0; i < n1; i++) { + double a = unif1(re); + double b = unif1(re); + double x = unif2(re); + double y = unif2(re); + v1.emplace_back(std::min(a, b), std::max(a, b)); + v2.emplace_back(std::min(a, b) + std::min(x, y), std::max(a, b) + std::max(x, y)); + if (i % 5 == 0) + v1.emplace_back(std::min(a, b), std::min(a, b) + x); + if (i % 3 == 0) + v2.emplace_back(std::max(a, b), std::max(a, b) + y); + } + BOOST_CHECK(bottleneck_distance(v1, v2, 0.) <= upper_bound / 100.); + BOOST_CHECK(bottleneck_distance(v1, v2, upper_bound / 10000.) <= upper_bound / 100. + upper_bound / 10000.); + BOOST_CHECK(std::abs(bottleneck_distance(v1, v2, 0.) - bottleneck_distance(v1, v2, upper_bound / 10000.)) <= upper_bound / 10000.); +} |