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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: Francois Godi
+ *
+ * Copyright (C) 2015 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+
+#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.);
+}