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Diffstat (limited to 'src/Bottleneck_distance')
16 files changed, 1231 insertions, 0 deletions
diff --git a/src/Bottleneck_distance/benchmark/CMakeLists.txt b/src/Bottleneck_distance/benchmark/CMakeLists.txt new file mode 100644 index 00000000..f70dd8ff --- /dev/null +++ b/src/Bottleneck_distance/benchmark/CMakeLists.txt @@ -0,0 +1,13 @@ +cmake_minimum_required(VERSION 2.6) +project(Bottleneck_distance_benchmark) + + +# requires CGAL 4.8 +# cmake -DCGAL_DIR=~/workspace/CGAL-4.8 ../../.. +if(CGAL_FOUND) + if (NOT CGAL_VERSION VERSION_LESS 4.8.0) + if (EIGEN3_FOUND) + add_executable ( bottleneck_chrono bottleneck_chrono.cpp ) + endif() + endif () +endif() diff --git a/src/Bottleneck_distance/benchmark/bottleneck_chrono.cpp b/src/Bottleneck_distance/benchmark/bottleneck_chrono.cpp new file mode 100644 index 00000000..456c570b --- /dev/null +++ b/src/Bottleneck_distance/benchmark/bottleneck_chrono.cpp @@ -0,0 +1,62 @@ +/* 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/>. + */ + +#include <gudhi/Bottleneck.h> +#include <chrono> +#include <fstream> +#include <random> + +using namespace Gudhi::persistence_diagram; + + +double upper_bound = 400.; // any real > 0 + +int main() { + std::ofstream result_file; + result_file.open("results.csv", std::ios::out); + + for (int n = 1000; n <= 10000; n += 1000) { + std::uniform_real_distribution<double> unif1(0., upper_bound); + std::uniform_real_distribution<double> unif2(upper_bound / 1000., upper_bound / 100.); + std::default_random_engine re; + std::vector< std::pair<double, double> > v1, v2; + for (int i = 0; i < n; 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); + } + std::chrono::steady_clock::time_point start = std::chrono::steady_clock::now(); + double b = bottleneck_distance(v1, v2); + std::chrono::steady_clock::time_point end = std::chrono::steady_clock::now(); + typedef std::chrono::duration<int, std::milli> millisecs_t; + millisecs_t duration(std::chrono::duration_cast<millisecs_t>(end - start)); + result_file << n << ";" << duration.count() << ";" << b << std::endl; + } + result_file.close(); +} diff --git a/src/Bottleneck_distance/concept/Persistence_diagram.h b/src/Bottleneck_distance/concept/Persistence_diagram.h new file mode 100644 index 00000000..2706716b --- /dev/null +++ b/src/Bottleneck_distance/concept/Persistence_diagram.h @@ -0,0 +1,49 @@ +/* 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: François 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/>. + */ + +#ifndef CONCEPT_BOTTLENECK_DISTANCE_PERSISTENCE_DIAGRAM_H_ +#define CONCEPT_BOTTLENECK_DISTANCE_PERSISTENCE_DIAGRAM_H_ + +namespace Gudhi { + +namespace bottleneck_distance { + +/** \brief Concept of Diagram_point. std::get<0>(point) must return the birth of the corresponding component and std::get<1>(point) its death. + * A valid implementation of this concept is std::pair<double,double>. + * Death should be larger than birth, death can be std::numeric_limits<double>::infinity() for components which stay alive. + * + * \ingroup bottleneck_distance + */ +typename Diagram_point; + +/** \brief Concept of persistence diagram. It's a range of Diagram_point. + * std::begin(diagram) and std::end(diagram) must return corresponding iterators. + * + * \ingroup bottleneck_distance + */ +typename Persistence_Diagram; + +} // namespace bottleneck_distance + +} // namespace Gudhi + +#endif // CONCEPT_BOTTLENECK_DISTANCE_PERSISTENCE_DIAGRAM_H_ diff --git a/src/Bottleneck_distance/doc/Intro_bottleneck_distance.h b/src/Bottleneck_distance/doc/Intro_bottleneck_distance.h new file mode 100644 index 00000000..21187f9c --- /dev/null +++ b/src/Bottleneck_distance/doc/Intro_bottleneck_distance.h @@ -0,0 +1,51 @@ +/* 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: François 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/>. + */ + +#ifndef DOC_BOTTLENECK_DISTANCE_INTRO_BOTTLENECK_DISTANCE_H_ +#define DOC_BOTTLENECK_DISTANCE_INTRO_BOTTLENECK_DISTANCE_H_ + +// needs namespace for Doxygen to link on classes +namespace Gudhi { +// needs namespace for Doxygen to link on classes +namespace bottleneck_distance { + +/** \defgroup bottleneck_distance Bottleneck distance + * + * \author François Godi + * @{ + * + * \section bottleneckdefinition Definition + * + * The bottleneck distance measures the similarity between two persistence diagrams. It's the shortest distance b for which there exists a perfect matching between + * the points of the two diagrams (completed with all the points on the diagonal in order to ignore cardinality mismatchs) such that + * any couple of matched points are at distance at most b. + * + * \image html perturb_pd.png On this picture, the red edges represent the matching. The bottleneck distance is the length of the longest edge. + * + */ +/** @} */ // end defgroup bottleneck_distance + +} // namespace bottleneck_distance + +} // namespace Gudhi + +#endif // DOC_BOTTLENECK_DISTANCE_INTRO_BOTTLENECK_DISTANCE_H_ diff --git a/src/Bottleneck_distance/doc/perturb_pd.png b/src/Bottleneck_distance/doc/perturb_pd.png Binary files differnew file mode 100644 index 00000000..be638de0 --- /dev/null +++ b/src/Bottleneck_distance/doc/perturb_pd.png diff --git a/src/Bottleneck_distance/example/CMakeLists.txt b/src/Bottleneck_distance/example/CMakeLists.txt new file mode 100644 index 00000000..c66623e9 --- /dev/null +++ b/src/Bottleneck_distance/example/CMakeLists.txt @@ -0,0 +1,15 @@ +cmake_minimum_required(VERSION 2.6) +project(Bottleneck_distance_examples) + +# requires CGAL 4.8 +# cmake -DCGAL_DIR=~/workspace/CGAL-4.8 ../../.. +if(CGAL_FOUND) + if (NOT CGAL_VERSION VERSION_LESS 4.8.0) + if (EIGEN3_FOUND) + add_executable (bottleneck_read_file_example bottleneck_read_file_example.cpp) + add_executable (bottleneck_basic_example bottleneck_basic_example.cpp) + + add_test(bottleneck_basic_example ${CMAKE_CURRENT_BINARY_DIR}/bottleneck_basic_example) + endif() + endif () +endif() diff --git a/src/Bottleneck_distance/example/bottleneck_basic_example.cpp b/src/Bottleneck_distance/example/bottleneck_basic_example.cpp new file mode 100644 index 00000000..91a7302f --- /dev/null +++ b/src/Bottleneck_distance/example/bottleneck_basic_example.cpp @@ -0,0 +1,48 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Authors: Francois Godi, small modifications by Pawel Dlotko + * + * 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/>. + */ + +#include <gudhi/Bottleneck.h> +#include <iostream> + +int main() { + + std::vector< std::pair<double, double> > v1, v2; + + v1.emplace_back(2.7, 3.7); + v1.emplace_back(9.6, 14.); + v1.emplace_back(34.2, 34.974); + v1.emplace_back(3., std::numeric_limits<double>::infinity()); + + v2.emplace_back(2.8, 4.45); + v2.emplace_back(9.5, 14.1); + v2.emplace_back(3.2, std::numeric_limits<double>::infinity()); + + + double b = Gudhi::persistence_diagram::bottleneck_distance(v1, v2); + + std::cout << "Bottleneck distance = " << b << std::endl; + + b = Gudhi::persistence_diagram::bottleneck_distance(v1, v2, 0.1); + + std::cout << "Approx bottleneck distance = " << b << std::endl; + +} diff --git a/src/Bottleneck_distance/example/bottleneck_read_file_example.cpp b/src/Bottleneck_distance/example/bottleneck_read_file_example.cpp new file mode 100644 index 00000000..4c74b66e --- /dev/null +++ b/src/Bottleneck_distance/example/bottleneck_read_file_example.cpp @@ -0,0 +1,70 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Authors: Francois Godi, small modifications by Pawel Dlotko + * + * 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 CGAL_HAS_THREADS + +#include <gudhi/Bottleneck.h> +#include <iostream> +#include <fstream> +#include <sstream> +#include <string> + +std::vector< std::pair<double, double> > read_diagram_from_file(const char* filename) { + std::ifstream in; + in.open(filename); + std::vector< std::pair<double, double> > result; + if (!in.is_open()) { + std::cerr << "File : " << filename << " do not exist. The program will now terminate \n"; + throw "File do not exist \n"; + } + + std::string line; + while (!in.eof()) { + getline(in, line); + if (line.length() != 0) { + std::stringstream lineSS; + lineSS << line; + double beginn, endd; + lineSS >> beginn; + lineSS >> endd; + result.push_back(std::make_pair(beginn, endd)); + } + } + in.close(); + return result; +} // read_diagram_from_file + +int main(int argc, char** argv) { + if (argc < 3) { + std::cout << "To run this program please provide as an input two files with persistence diagrams. Each file " << + "should contain a birth-death pair per line. Third, optional parameter is an error bound on a bottleneck" << + " distance (set by default to zero). The program will now terminate \n"; + } + std::vector< std::pair< double, double > > diag1 = read_diagram_from_file(argv[1]); + std::vector< std::pair< double, double > > diag2 = read_diagram_from_file(argv[2]); + double tolerance = 0.; + if (argc == 4) { + tolerance = atof(argv[3]); + } + double b = Gudhi::persistence_diagram::bottleneck_distance(diag1, diag2, tolerance); + std::cout << "The distance between the diagrams is : " << b << ". The tolerance is : " << tolerance << std::endl; +} diff --git a/src/Bottleneck_distance/include/gudhi/Bottleneck.h b/src/Bottleneck_distance/include/gudhi/Bottleneck.h new file mode 100644 index 00000000..2b7e4767 --- /dev/null +++ b/src/Bottleneck_distance/include/gudhi/Bottleneck.h @@ -0,0 +1,99 @@ +/* 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/>. + */ + +#ifndef BOTTLENECK_H_ +#define BOTTLENECK_H_ + +#include <gudhi/Graph_matching.h> +#include <cmath> + +namespace Gudhi { + +namespace persistence_diagram { + +double bottleneck_distance_approx(Persistence_graph& g, double e) { + double b_lower_bound = 0.; + double b_upper_bound = g.diameter_bound(); + const double alpha = std::pow(g.size(), 1. / 5.); + Graph_matching m(g); + Graph_matching biggest_unperfect(g); + while (b_upper_bound - b_lower_bound > 2 * e) { + double step = b_lower_bound + (b_upper_bound - b_lower_bound) / alpha; + if (step <= b_lower_bound || step >= b_upper_bound) // Avoid precision problem + break; + m.set_r(step); + while (m.multi_augment()); // compute a maximum matching (in the graph corresponding to the current r) + if (m.perfect()) { + m = biggest_unperfect; + b_upper_bound = step; + } else { + biggest_unperfect = m; + b_lower_bound = step; + } + } + return (b_lower_bound + b_upper_bound) / 2.; +} + +double bottleneck_distance_exact(Persistence_graph& g) { + std::vector<double> sd = g.sorted_distances(); + long lower_bound_i = 0; + long upper_bound_i = sd.size() - 1; + const double alpha = std::pow(g.size(), 1. / 5.); + Graph_matching m(g); + Graph_matching biggest_unperfect(g); + while (lower_bound_i != upper_bound_i) { + long step = lower_bound_i + static_cast<long> ((upper_bound_i - lower_bound_i - 1) / alpha); + m.set_r(sd.at(step)); + while (m.multi_augment()); // compute a maximum matching (in the graph corresponding to the current r) + if (m.perfect()) { + m = biggest_unperfect; + upper_bound_i = step; + } else { + biggest_unperfect = m; + lower_bound_i = step + 1; + } + } + return sd.at(lower_bound_i); +} + +/** \brief Function to use in order to compute the Bottleneck distance between two persistence diagrams (see concepts). + * If the last parameter e is not 0, you get an additive e-approximation, which is a lot faster to compute whatever is + * e. + * Thus, by default, e is a very small positive double, actually the smallest double possible such that the + * floating-point inaccuracies don't lead to a failure of the algorithm. + * + * \ingroup bottleneck_distance + */ +template<typename Persistence_diagram1, typename Persistence_diagram2> +double bottleneck_distance(const Persistence_diagram1 &diag1, const Persistence_diagram2 &diag2, + double e = std::numeric_limits<double>::min()) { + Persistence_graph g(diag1, diag2, e); + if (g.bottleneck_alive() == std::numeric_limits<double>::infinity()) + return std::numeric_limits<double>::infinity(); + return std::max(g.bottleneck_alive(), e == 0. ? bottleneck_distance_exact(g) : bottleneck_distance_approx(g, e)); +} + +} // namespace persistence_diagram + +} // namespace Gudhi + +#endif // BOTTLENECK_H_ diff --git a/src/Bottleneck_distance/include/gudhi/Graph_matching.h b/src/Bottleneck_distance/include/gudhi/Graph_matching.h new file mode 100644 index 00000000..253c89b4 --- /dev/null +++ b/src/Bottleneck_distance/include/gudhi/Graph_matching.h @@ -0,0 +1,179 @@ +/* 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/>. + */ + +#ifndef GRAPH_MATCHING_H_ +#define GRAPH_MATCHING_H_ + +#include <gudhi/Neighbors_finder.h> + +namespace Gudhi { + +namespace persistence_diagram { + +/** \internal \brief Structure representing a graph matching. The graph is a Persistence_diagrams_graph. + * + * \ingroup bottleneck_distance + */ +class Graph_matching { + public: + /** \internal \brief Constructor constructing an empty matching. */ + explicit Graph_matching(Persistence_graph &g); + /** \internal \brief Copy operator. */ + Graph_matching& operator=(const Graph_matching& m); + /** \internal \brief Is the matching perfect ? */ + bool perfect() const; + /** \internal \brief Augments the matching with a maximal set of edge-disjoint shortest augmenting paths. */ + bool multi_augment(); + /** \internal \brief Sets the maximum length of the edges allowed to be added in the matching, 0 initially. */ + void set_r(double r); + + private: + Persistence_graph& g; + double r; + /** \internal \brief Given a point from V, provides its matched point in U, null_point_index() if there isn't. */ + std::vector<int> v_to_u; + /** \internal \brief All the unmatched points in U. */ + std::list<int> unmatched_in_u; + + /** \internal \brief Provides a Layered_neighbors_finder dividing the graph in layers. Basically a BFS. */ + Layered_neighbors_finder layering() const; + /** \internal \brief Augments the matching with a simple path no longer than max_depth. Basically a DFS. */ + bool augment(Layered_neighbors_finder & layered_nf, int u_start_index, int max_depth); + /** \internal \brief Update the matching with the simple augmenting path given as parameter. */ + void update(std::vector<int> & path); +}; + +inline Graph_matching::Graph_matching(Persistence_graph& g) + : g(g), r(0.), v_to_u(g.size(), null_point_index()), unmatched_in_u() { + for (int u_point_index = 0; u_point_index < g.size(); ++u_point_index) + unmatched_in_u.emplace_back(u_point_index); +} + +inline Graph_matching& Graph_matching::operator=(const Graph_matching& m) { + g = m.g; + r = m.r; + v_to_u = m.v_to_u; + unmatched_in_u = m.unmatched_in_u; + return *this; +} + +inline bool Graph_matching::perfect() const { + return unmatched_in_u.empty(); +} + +inline bool Graph_matching::multi_augment() { + if (perfect()) + return false; + Layered_neighbors_finder layered_nf(layering()); + int max_depth = layered_nf.vlayers_number()*2 - 1; + double rn = sqrt(g.size()); + // verification of a necessary criterion in order to shortcut if possible + if (max_depth < 0 || (unmatched_in_u.size() > rn && max_depth >= rn)) + return false; + bool successful = false; + std::list<int> tries(unmatched_in_u); + for (auto it = tries.cbegin(); it != tries.cend(); it++) + // 'augment' has side-effects which have to be always executed, don't change order + successful = augment(layered_nf, *it, max_depth) || successful; + return successful; +} + +inline void Graph_matching::set_r(double r) { + this->r = r; +} + +inline bool Graph_matching::augment(Layered_neighbors_finder & layered_nf, int u_start_index, int max_depth) { + // V vertices have at most one successor, thus when we backtrack from U we can directly pop_back 2 vertices. + std::vector<int> path; + path.emplace_back(u_start_index); + do { + if (static_cast<int> (path.size()) > max_depth) { + path.pop_back(); + path.pop_back(); + } + if (path.empty()) + return false; + path.emplace_back(layered_nf.pull_near(path.back(), static_cast<int> (path.size()) / 2)); + while (path.back() == null_point_index()) { + path.pop_back(); + path.pop_back(); + if (path.empty()) + return false; + path.pop_back(); + path.emplace_back(layered_nf.pull_near(path.back(), path.size() / 2)); + } + path.emplace_back(v_to_u.at(path.back())); + } while (path.back() != null_point_index()); + // if v_to_u.at(path.back()) has no successor, path.back() is an exposed vertex + path.pop_back(); + update(path); + return true; +} + +inline Layered_neighbors_finder Graph_matching::layering() const { + std::list<int> u_vertices(unmatched_in_u); + std::list<int> v_vertices; + Neighbors_finder nf(g, r); + for (int v_point_index = 0; v_point_index < g.size(); ++v_point_index) + nf.add(v_point_index); + Layered_neighbors_finder layered_nf(g, r); + for (int layer = 0; !u_vertices.empty(); layer++) { + // one layer is one step in the BFS + for (auto it1 = u_vertices.cbegin(); it1 != u_vertices.cend(); ++it1) { + std::vector<int> u_succ(nf.pull_all_near(*it1)); + for (auto it2 = u_succ.begin(); it2 != u_succ.end(); ++it2) { + layered_nf.add(*it2, layer); + v_vertices.emplace_back(*it2); + } + } + // When the above for finishes, we have progress of one half-step (from U to V) in the BFS + u_vertices.clear(); + bool end = false; + for (auto it = v_vertices.cbegin(); it != v_vertices.cend(); it++) + if (v_to_u.at(*it) == null_point_index()) + // we stop when a nearest exposed V vertex (from U exposed vertices) has been found + end = true; + else + u_vertices.emplace_back(v_to_u.at(*it)); + // When the above for finishes, we have progress of one half-step (from V to U) in the BFS + if (end) + return layered_nf; + v_vertices.clear(); + } + return layered_nf; +} + +inline void Graph_matching::update(std::vector<int>& path) { + unmatched_in_u.remove(path.front()); + for (auto it = path.cbegin(); it != path.cend(); ++it) { + // Be careful, the iterator is incremented twice each time + int tmp = *it; + v_to_u[*(++it)] = tmp; + } +} + + +} // namespace persistence_diagram + +} // namespace Gudhi + +#endif // GRAPH_MATCHING_H_ diff --git a/src/Bottleneck_distance/include/gudhi/Internal_point.h b/src/Bottleneck_distance/include/gudhi/Internal_point.h new file mode 100644 index 00000000..0b2d26fe --- /dev/null +++ b/src/Bottleneck_distance/include/gudhi/Internal_point.h @@ -0,0 +1,91 @@ +/* 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/>. + */ + +#ifndef INTERNAL_POINT_H_ +#define INTERNAL_POINT_H_ + +namespace Gudhi { + +namespace persistence_diagram { + +/** \internal \brief Returns the used index for encoding none of the points */ +int null_point_index(); + +/** \internal \typedef \brief Internal_point is the internal points representation, indexes used outside. */ +struct Internal_point { + double vec[2]; + int point_index; + + Internal_point() { } + + Internal_point(double x, double y, int p_i) { + vec[0] = x; + vec[1] = y; + point_index = p_i; + } + + double x() const { + return vec[ 0 ]; + } + + double y() const { + return vec[ 1 ]; + } + + double& x() { + return vec[ 0 ]; + } + + double& y() { + return vec[ 1 ]; + } + + bool operator==(const Internal_point& p) const { + return point_index == p.point_index; + } + + bool operator!=(const Internal_point& p) const { + return !(*this == p); + } +}; + +inline int null_point_index() { + return -1; +} + +struct Construct_coord_iterator { + typedef const double* result_type; + + const double* operator()(const Internal_point& p) const { + return p.vec; + } + + const double* operator()(const Internal_point& p, int) const { + return p.vec + 2; + } +}; + +} // namespace persistence_diagram + +} // namespace Gudhi + +#endif // INTERNAL_POINT_H_ diff --git a/src/Bottleneck_distance/include/gudhi/Neighbors_finder.h b/src/Bottleneck_distance/include/gudhi/Neighbors_finder.h new file mode 100644 index 00000000..96ece360 --- /dev/null +++ b/src/Bottleneck_distance/include/gudhi/Neighbors_finder.h @@ -0,0 +1,171 @@ +/* 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/>. + */ + +#ifndef NEIGHBORS_FINDER_H_ +#define NEIGHBORS_FINDER_H_ + +// Inclusion order is important for CGAL patch +#include <CGAL/Kd_tree.h> +#include <CGAL/Kd_tree_node.h> +#include <CGAL/Orthogonal_k_neighbor_search.h> +#include <CGAL/Weighted_Minkowski_distance.h> +#include <CGAL/Search_traits.h> + +#include <gudhi/Persistence_graph.h> +#include <gudhi/Internal_point.h> + +#include <unordered_set> + +namespace Gudhi { + +namespace persistence_diagram { + +/** \internal \brief data structure used to find any point (including projections) in V near to a query point from U + * (which can be a projection). + * + * V points have to be added manually using their index and before the first pull. A neighbor pulled is automatically + * removed. + * + * \ingroup bottleneck_distance + */ +class Neighbors_finder { + typedef CGAL::Dimension_tag<2> D; + typedef CGAL::Search_traits<double, Internal_point, const double*, Construct_coord_iterator, D> Traits; + typedef CGAL::Weighted_Minkowski_distance<Traits> Distance; + typedef CGAL::Orthogonal_k_neighbor_search<Traits, Distance> K_neighbor_search; + typedef K_neighbor_search::Tree Kd_tree; + + public: + /** \internal \brief Constructor taking the near distance definition as parameter. */ + Neighbors_finder(const Persistence_graph& g, double r); + /** \internal \brief A point added will be possibly pulled. */ + void add(int v_point_index); + /** \internal \brief Returns and remove a V point near to the U point given as parameter, null_point_index() if + * there isn't such a point. */ + int pull_near(int u_point_index); + /** \internal \brief Returns and remove all the V points near to the U point given as parameter. */ + std::vector<int> pull_all_near(int u_point_index); + + private: + const Persistence_graph& g; + const double r; + Kd_tree kd_t; + std::unordered_set<int> projections_f; +}; + +/** \internal \brief data structure used to find any point (including projections) in V near to a query point from U + * (which can be a projection) in a layered graph layer given as parmeter. + * + * V points have to be added manually using their index and before the first pull. A neighbor pulled is automatically + * removed. + * + * \ingroup bottleneck_distance + */ +class Layered_neighbors_finder { + public: + /** \internal \brief Constructor taking the near distance definition as parameter. */ + Layered_neighbors_finder(const Persistence_graph& g, double r); + /** \internal \brief A point added will be possibly pulled. */ + void add(int v_point_index, int vlayer); + /** \internal \brief Returns and remove a V point near to the U point given as parameter, null_point_index() if + * there isn't such a point. */ + int pull_near(int u_point_index, int vlayer); + /** \internal \brief Returns the number of layers. */ + int vlayers_number() const; + + private: + const Persistence_graph& g; + const double r; + std::vector<std::unique_ptr<Neighbors_finder>> neighbors_finder; +}; + +inline Neighbors_finder::Neighbors_finder(const Persistence_graph& g, double r) : + g(g), r(r), kd_t(), projections_f() { } + +inline void Neighbors_finder::add(int v_point_index) { + if (g.on_the_v_diagonal(v_point_index)) + projections_f.emplace(v_point_index); + else + kd_t.insert(g.get_v_point(v_point_index)); +} + +inline int Neighbors_finder::pull_near(int u_point_index) { + int tmp; + int c = g.corresponding_point_in_v(u_point_index); + if (g.on_the_u_diagonal(u_point_index) && !projections_f.empty()) { + // Any pair of projection is at distance 0 + tmp = *projections_f.cbegin(); + projections_f.erase(tmp); + } else if (projections_f.count(c) && (g.distance(u_point_index, c) <= r)) { + // Is the query point near to its projection ? + tmp = c; + projections_f.erase(tmp); + } else { + // Is the query point near to a V point in the plane ? + Internal_point u_point = g.get_u_point(u_point_index); + std::array<double, 2> w = { + {1., 1.} + }; + K_neighbor_search search(kd_t, u_point, 1, 0., true, Distance(0, 2, w.begin(), w.end())); + auto it = search.begin(); + if (it == search.end() || g.distance(u_point_index, it->first.point_index) > r) + return null_point_index(); + tmp = it->first.point_index; + kd_t.remove(g.get_v_point(tmp)); + } + return tmp; +} + +inline std::vector<int> Neighbors_finder::pull_all_near(int u_point_index) { + std::vector<int> all_pull; + int last_pull = pull_near(u_point_index); + while (last_pull != null_point_index()) { + all_pull.emplace_back(last_pull); + last_pull = pull_near(u_point_index); + } + return all_pull; +} + +inline Layered_neighbors_finder::Layered_neighbors_finder(const Persistence_graph& g, double r) : + g(g), r(r), neighbors_finder() { } + +inline void Layered_neighbors_finder::add(int v_point_index, int vlayer) { + for (int l = neighbors_finder.size(); l <= vlayer; l++) + neighbors_finder.emplace_back(std::unique_ptr<Neighbors_finder>(new Neighbors_finder(g, r))); + neighbors_finder.at(vlayer)->add(v_point_index); +} + +inline int Layered_neighbors_finder::pull_near(int u_point_index, int vlayer) { + if (static_cast<int> (neighbors_finder.size()) <= vlayer) + return null_point_index(); + return neighbors_finder.at(vlayer)->pull_near(u_point_index); +} + +inline int Layered_neighbors_finder::vlayers_number() const { + return static_cast<int> (neighbors_finder.size()); +} + +} // namespace persistence_diagram + +} // namespace Gudhi + +#endif // NEIGHBORS_FINDER_H_ diff --git a/src/Bottleneck_distance/include/gudhi/Persistence_graph.h b/src/Bottleneck_distance/include/gudhi/Persistence_graph.h new file mode 100644 index 00000000..3a4a5fec --- /dev/null +++ b/src/Bottleneck_distance/include/gudhi/Persistence_graph.h @@ -0,0 +1,176 @@ +/* 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/>. + */ + +#ifndef PERSISTENCE_GRAPH_H_ +#define PERSISTENCE_GRAPH_H_ + +#include <vector> +#include <algorithm> +#include <gudhi/Internal_point.h> + +namespace Gudhi { + +namespace persistence_diagram { + +/** \internal \brief Structure representing an euclidean bipartite graph containing + * the points from the two persistence diagrams (including the projections). + * + * \ingroup bottleneck_distance + */ +class Persistence_graph { + public: + /** \internal \brief Constructor taking 2 Persistence_Diagrams (concept) as parameters. */ + template<typename Persistence_diagram1, typename Persistence_diagram2> + Persistence_graph(const Persistence_diagram1& diag1, const Persistence_diagram2& diag2, double e); + /** \internal \brief Is the given point from U the projection of a point in V ? */ + bool on_the_u_diagonal(int u_point_index) const; + /** \internal \brief Is the given point from V the projection of a point in U ? */ + bool on_the_v_diagonal(int v_point_index) const; + /** \internal \brief Given a point from V, returns the corresponding (projection or projector) point in U. */ + int corresponding_point_in_u(int v_point_index) const; + /** \internal \brief Given a point from U, returns the corresponding (projection or projector) point in V. */ + int corresponding_point_in_v(int u_point_index) const; + /** \internal \brief Given a point from U and a point from V, returns the distance between those points. */ + double distance(int u_point_index, int v_point_index) const; + /** \internal \brief Returns size = |U| = |V|. */ + int size() const; + /** \internal \brief Is there as many infinite points (alive components) in both diagrams ? */ + double bottleneck_alive() const; + /** \internal \brief Returns the O(n^2) sorted distances between the points. */ + std::vector<double> sorted_distances() const; + /** \internal \brief Returns an upper bound for the diameter of the convex hull of all non infinite points */ + double diameter_bound() const; + /** \internal \brief Returns the corresponding internal point */ + Internal_point get_u_point(int u_point_index) const; + /** \internal \brief Returns the corresponding internal point */ + Internal_point get_v_point(int v_point_index) const; + + private: + std::vector<Internal_point> u; + std::vector<Internal_point> v; + double b_alive; +}; + +template<typename Persistence_diagram1, typename Persistence_diagram2> +Persistence_graph::Persistence_graph(const Persistence_diagram1 &diag1, + const Persistence_diagram2 &diag2, double e) + : u(), v(), b_alive(0.) { + std::vector<double> u_alive; + std::vector<double> v_alive; + for (auto it = std::begin(diag1); it != std::end(diag1); ++it) { + if (std::get<1>(*it) == std::numeric_limits<double>::infinity()) + u_alive.push_back(std::get<0>(*it)); + else if (std::get<1>(*it) - std::get<0>(*it) > e) + u.push_back(Internal_point(std::get<0>(*it), std::get<1>(*it), u.size())); + } + for (auto it = std::begin(diag2); it != std::end(diag2); ++it) { + if (std::get<1>(*it) == std::numeric_limits<double>::infinity()) + v_alive.push_back(std::get<0>(*it)); + else if (std::get<1>(*it) - std::get<0>(*it) > e) + v.push_back(Internal_point(std::get<0>(*it), std::get<1>(*it), v.size())); + } + if (u.size() < v.size()) + swap(u, v); + std::sort(u_alive.begin(), u_alive.end()); + std::sort(v_alive.begin(), v_alive.end()); + if (u_alive.size() != v_alive.size()) + b_alive = std::numeric_limits<double>::infinity(); + else for (auto it_u = u_alive.cbegin(), it_v = v_alive.cbegin(); it_u != u_alive.cend(); ++it_u, ++it_v) + b_alive = std::max(b_alive, std::fabs(*it_u - *it_v)); +} + +inline bool Persistence_graph::on_the_u_diagonal(int u_point_index) const { + return u_point_index >= static_cast<int> (u.size()); +} + +inline bool Persistence_graph::on_the_v_diagonal(int v_point_index) const { + return v_point_index >= static_cast<int> (v.size()); +} + +inline int Persistence_graph::corresponding_point_in_u(int v_point_index) const { + return on_the_v_diagonal(v_point_index) ? + v_point_index - static_cast<int> (v.size()) : v_point_index + static_cast<int> (u.size()); +} + +inline int Persistence_graph::corresponding_point_in_v(int u_point_index) const { + return on_the_u_diagonal(u_point_index) ? + u_point_index - static_cast<int> (u.size()) : u_point_index + static_cast<int> (v.size()); +} + +inline double Persistence_graph::distance(int u_point_index, int v_point_index) const { + if (on_the_u_diagonal(u_point_index) && on_the_v_diagonal(v_point_index)) + return 0.; + Internal_point p_u = get_u_point(u_point_index); + Internal_point p_v = get_v_point(v_point_index); + return std::max(std::fabs(p_u.x() - p_v.x()), std::fabs(p_u.y() - p_v.y())); +} + +inline int Persistence_graph::size() const { + return static_cast<int> (u.size() + v.size()); +} + +inline double Persistence_graph::bottleneck_alive() const { + return b_alive; +} + +inline std::vector<double> Persistence_graph::sorted_distances() const { + std::vector<double> distances; + distances.push_back(0.); // for empty diagrams + for (int u_point_index = 0; u_point_index < size(); ++u_point_index) { + distances.push_back(distance(u_point_index, corresponding_point_in_v(u_point_index))); + for (int v_point_index = 0; v_point_index < size(); ++v_point_index) + distances.push_back(distance(u_point_index, v_point_index)); + } + std::sort(distances.begin(), distances.end()); + return distances; +} + +inline Internal_point Persistence_graph::get_u_point(int u_point_index) const { + if (!on_the_u_diagonal(u_point_index)) + return u.at(u_point_index); + Internal_point projector = v.at(corresponding_point_in_v(u_point_index)); + double m = (projector.x() + projector.y()) / 2.; + return Internal_point(m, m, u_point_index); +} + +inline Internal_point Persistence_graph::get_v_point(int v_point_index) const { + if (!on_the_v_diagonal(v_point_index)) + return v.at(v_point_index); + Internal_point projector = u.at(corresponding_point_in_u(v_point_index)); + double m = (projector.x() + projector.y()) / 2.; + return Internal_point(m, m, v_point_index); +} + +inline double Persistence_graph::diameter_bound() const { + double max = 0.; + for (auto it = u.cbegin(); it != u.cend(); it++) + max = std::max(max, it->y()); + for (auto it = v.cbegin(); it != v.cend(); it++) + max = std::max(max, it->y()); + return max; +} + +} // namespace persistence_diagram + +} // namespace Gudhi + +#endif // PERSISTENCE_GRAPH_H_ diff --git a/src/Bottleneck_distance/test/CMakeLists.txt b/src/Bottleneck_distance/test/CMakeLists.txt new file mode 100644 index 00000000..a6979d3c --- /dev/null +++ b/src/Bottleneck_distance/test/CMakeLists.txt @@ -0,0 +1,28 @@ +cmake_minimum_required(VERSION 2.6) +project(Bottleneck_distance_tests) + + +if (GCOVR_PATH) + # for gcovr to make coverage reports - Corbera Jenkins plugin + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fprofile-arcs -ftest-coverage") +endif() +if (GPROF_PATH) + # for gprof to make coverage reports - Jenkins + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -pg") +endif() + +# requires CGAL 4.8 +# cmake -DCGAL_DIR=~/workspace/CGAL-4.8 ../../.. +if(CGAL_FOUND) + if (NOT CGAL_VERSION VERSION_LESS 4.8.0) + if (EIGEN3_FOUND) + add_executable ( bottleneckUT bottleneck_unit_test.cpp ) + target_link_libraries(bottleneckUT ${Boost_SYSTEM_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY}) + + # Unitary tests + add_test(NAME bottleneckUT COMMAND ${CMAKE_CURRENT_BINARY_DIR}/bottleneckUT + # XML format for Jenkins xUnit plugin + --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/bottleneckUT.xml --log_level=test_suite --report_level=no) + endif() + endif () +endif() diff --git a/src/Bottleneck_distance/test/README b/src/Bottleneck_distance/test/README new file mode 100644 index 00000000..0e7b8673 --- /dev/null +++ b/src/Bottleneck_distance/test/README @@ -0,0 +1,12 @@ +To compile: +*********** + +cmake . +make + +To launch with details: +*********************** + +./BottleneckUnitTest --report_level=detailed --log_level=all + + ==> echo $? returns 0 in case of success (non-zero otherwise) 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.); +} |
