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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) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "collapse"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+#include <boost/range/adaptor/transformed.hpp>
+
+#include <gudhi/Flag_complex_edge_collapser.h>
+#include <gudhi/distance_functions.h>
+#include <gudhi/graph_simplicial_complex.h>
+
+#include <iostream>
+#include <tuple>
+#include <vector>
+#include <array>
+#include <cmath>
+
+struct Simplicial_complex {
+ using Vertex_handle = short;
+ using Filtration_value = float;
+};
+
+using Vertex_handle = Simplicial_complex::Vertex_handle;
+using Filtration_value = Simplicial_complex::Filtration_value;
+using Filtered_edge = std::tuple<Vertex_handle, Vertex_handle, Filtration_value>;
+using Filtered_edge_list = std::vector<Filtered_edge>;
+
+template<typename Filtered_edge_range>
+bool find_edge_in_list(const Filtered_edge& edge, const Filtered_edge_range& edge_list) {
+ for (auto edge_from_list : edge_list) {
+ if (edge_from_list == edge)
+ return true;
+ }
+ return false;
+}
+
+template<typename Filtered_edge_range>
+void trace_and_check_collapse(const Filtered_edge_range& filtered_edges, const Filtered_edge_list& removed_edges) {
+ std::cout << "BEFORE COLLAPSE - Total number of edges: " << filtered_edges.size() << std::endl;
+ BOOST_CHECK(filtered_edges.size() > 0);
+ for (auto filtered_edge : filtered_edges) {
+ std::cout << "f[" << std::get<0>(filtered_edge) << ", " << std::get<1>(filtered_edge) << "] = "
+ << std::get<2>(filtered_edge) << std::endl;
+ }
+
+ std::cout << "COLLAPSE - keep edges: " << std::endl;
+ auto remaining_edges = Gudhi::collapse::flag_complex_collapse_edges(filtered_edges);
+
+ std::cout << "AFTER COLLAPSE - Total number of edges: " << remaining_edges.size() << std::endl;
+ BOOST_CHECK(remaining_edges.size() <= filtered_edges.size());
+ for (auto filtered_edge_from_collapse : remaining_edges) {
+ std::cout << "f[" << std::get<0>(filtered_edge_from_collapse) << ", " << std::get<1>(filtered_edge_from_collapse)
+ << "] = " << std::get<2>(filtered_edge_from_collapse) << std::endl;
+ // Check each edge from collapse is in the input
+ BOOST_CHECK(find_edge_in_list(filtered_edge_from_collapse, filtered_edges));
+ }
+
+ std::cout << "CHECK COLLAPSE - Total number of removed edges: " << removed_edges.size() << std::endl;
+ for (auto removed_filtered_edge : removed_edges) {
+ std::cout << "f[" << std::get<0>(removed_filtered_edge) << ", " << std::get<1>(removed_filtered_edge) << "] = "
+ << std::get<2>(removed_filtered_edge) << std::endl;
+ // Check each removed edge from collapse is in the input
+ BOOST_CHECK(!find_edge_in_list(removed_filtered_edge, remaining_edges));
+ }
+
+}
+
+BOOST_AUTO_TEST_CASE(collapse) {
+ std::cout << "***** COLLAPSE *****" << std::endl;
+ // 1 2
+ // o---o
+ // | |
+ // | |
+ // | |
+ // o---o
+ // 0 3
+ Filtered_edge_list edges {{0, 1, 1.},
+ {1, 2, 1.},
+ {2, 3, 1.},
+ {3, 0, 1.}};
+ trace_and_check_collapse(edges, {});
+
+ // 1 2
+ // o---o
+ // |\ /|
+ // | x |
+ // |/ \|
+ // o---o
+ // 0 3
+ edges.emplace_back(0, 2, 2.);
+ edges.emplace_back(1, 3, 2.);
+ trace_and_check_collapse(edges, {{1, 3, 2.}});
+
+ // 1 2 4
+ // o---o---o
+ // |\ /| |
+ // | x | |
+ // |/ \| |
+ // o---o---o
+ // 0 3 5
+ edges.emplace_back(2, 4, 3.);
+ edges.emplace_back(4, 5, 3.);
+ edges.emplace_back(5, 3, 3.);
+ trace_and_check_collapse(edges, {{1, 3, 2.}});
+
+ // 1 2 4
+ // o---o---o
+ // |\ /|\ /|
+ // | x | x |
+ // |/ \|/ \|
+ // o---o---o
+ // 0 3 5
+ edges.emplace_back(2, 5, 4.);
+ edges.emplace_back(4, 3, 4.);
+ trace_and_check_collapse(edges, {{1, 3, 2.}, {4, 3, 4.}});
+
+ // 1 2 4
+ // o---o---o
+ // |\ /|\ /|
+ // | x | x | + [0,4] and [1,5]
+ // |/ \|/ \|
+ // o---o---o
+ // 0 3 5
+ edges.emplace_back(1, 5, 5.);
+ edges.emplace_back(0, 4, 5.);
+ trace_and_check_collapse(edges, {{1, 3, 2.}, {4, 3, 4.}, {0, 4, 5.}});
+}
+
+BOOST_AUTO_TEST_CASE(collapse_from_array) {
+ std::cout << "***** COLLAPSE FROM ARRAY *****" << std::endl;
+ // 1 2
+ // o---o
+ // |\ /|
+ // | x |
+ // |/ \|
+ // o---o
+ // 0 3
+ std::array<Filtered_edge, 6> f_edge_array = {{{0, 1, 1.},
+ {1, 2, 1.},
+ {2, 3, 1.},
+ {3, 0, 1.},
+ {0, 2, 2.},
+ {1, 3, 2.}}};
+ trace_and_check_collapse(f_edge_array, {{1, 3, 2.}});
+}
+
+BOOST_AUTO_TEST_CASE(collapse_from_proximity_graph) {
+ std::cout << "***** COLLAPSE FROM PROXIMITY GRAPH *****" << std::endl;
+ // 1 2
+ // o---o
+ // |\ /|
+ // | x |
+ // |/ \|
+ // o---o
+ // 0 3
+ std::vector<std::vector<Filtration_value>> point_cloud = {{0., 0.},
+ {0., 1.},
+ {1., 0.},
+ {1., 1.} };
+
+ Filtration_value threshold = std::numeric_limits<Filtration_value>::infinity();
+ using Proximity_graph = Gudhi::Proximity_graph<Simplicial_complex>;
+ Proximity_graph proximity_graph = Gudhi::compute_proximity_graph<Simplicial_complex>(point_cloud,
+ threshold,
+ Gudhi::Euclidean_distance());
+
+ auto remaining_edges = Gudhi::collapse::flag_complex_collapse_edges(
+ boost::adaptors::transform(edges(proximity_graph), [&](auto&&edge){
+ return std::make_tuple(static_cast<Vertex_handle>(source(edge, proximity_graph)),
+ static_cast<Vertex_handle>(target(edge, proximity_graph)),
+ get(Gudhi::edge_filtration_t(), proximity_graph, edge));
+ })
+ );
+
+ BOOST_CHECK(remaining_edges.size() == 5);
+
+ std::size_t filtration_is_edge_length_nb = 0;
+ std::size_t filtration_is_diagonal_length_nb = 0;
+ float epsilon = std::numeric_limits<Filtration_value>::epsilon();
+ for (auto filtered_edge : remaining_edges) {
+ if (std::get<2>(filtered_edge) == 1.)
+ filtration_is_edge_length_nb++;
+ if (std::fabs(std::get<2>(filtered_edge) - std::sqrt(2.)) <= epsilon)
+ filtration_is_diagonal_length_nb++;
+ }
+ BOOST_CHECK(filtration_is_edge_length_nb == 4);
+ BOOST_CHECK(filtration_is_diagonal_length_nb == 1);
+}