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-rw-r--r--utilities/Witness_complex/strong_witness_persistence.cpp156
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diff --git a/utilities/Witness_complex/strong_witness_persistence.cpp b/utilities/Witness_complex/strong_witness_persistence.cpp
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-/* 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(s): Siargey Kachanovich
- *
- * Copyright (C) 2016 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/Simplex_tree.h>
-#include <gudhi/Euclidean_strong_witness_complex.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_off_io.h>
-#include <gudhi/pick_n_random_points.h>
-#include <gudhi/choose_n_farthest_points.h>
-
-#include <boost/program_options.hpp>
-
-#include <CGAL/Epick_d.h>
-
-#include <string>
-#include <vector>
-#include <limits> // infinity
-
-using K = CGAL::Epick_d<CGAL::Dynamic_dimension_tag>;
-using Point_d = K::Point_d;
-
-using Point_vector = std::vector<Point_d>;
-using Strong_witness_complex = Gudhi::witness_complex::Euclidean_strong_witness_complex<K>;
-using SimplexTree = Gudhi::Simplex_tree<>;
-
-using Filtration_value = SimplexTree::Filtration_value;
-
-using Field_Zp = Gudhi::persistent_cohomology::Field_Zp;
-using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<SimplexTree, Field_Zp>;
-
-void program_options(int argc, char* argv[], int& nbL, std::string& file_name, std::string& filediag,
- Filtration_value& max_squared_alpha, int& p, int& dim_max, Filtration_value& min_persistence);
-
-int main(int argc, char* argv[]) {
- std::string file_name;
- std::string filediag;
- Filtration_value max_squared_alpha;
- int p, nbL, lim_d;
- Filtration_value min_persistence;
- SimplexTree simplex_tree;
-
- program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, lim_d, min_persistence);
-
- // Extract the points from the file file_name
- Point_vector witnesses, landmarks;
- Gudhi::Points_off_reader<Point_d> off_reader(file_name);
- if (!off_reader.is_valid()) {
- std::cerr << "Witness complex - Unable to read file " << file_name << "\n";
- exit(-1); // ----- >>
- }
- witnesses = Point_vector(off_reader.get_point_cloud());
- std::cout << "Successfully read " << witnesses.size() << " points.\n";
- std::cout << "Ambient dimension is " << witnesses[0].dimension() << ".\n";
-
- // Choose landmarks (decomment one of the following two lines)
- // Gudhi::subsampling::pick_n_random_points(point_vector, nbL, std::back_inserter(landmarks));
- Gudhi::subsampling::choose_n_farthest_points(K(), witnesses, nbL, Gudhi::subsampling::random_starting_point,
- std::back_inserter(landmarks));
-
- // Compute witness complex
- Strong_witness_complex strong_witness_complex(landmarks, witnesses);
-
- strong_witness_complex.create_complex(simplex_tree, max_squared_alpha, lim_d);
-
- std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n";
- std::cout << " and has dimension " << simplex_tree.dimension() << " \n";
-
- // Sort the simplices in the order of the filtration
- simplex_tree.initialize_filtration();
-
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(simplex_tree);
- // initializes the coefficient field for homology
- pcoh.init_coefficients(p);
-
- pcoh.compute_persistent_cohomology(min_persistence);
-
- // Output the diagram in filediag
- if (filediag.empty()) {
- pcoh.output_diagram();
- } else {
- std::ofstream out(filediag);
- pcoh.output_diagram(out);
- out.close();
- }
-
- return 0;
-}
-
-void program_options(int argc, char* argv[], int& nbL, std::string& file_name, std::string& filediag,
- Filtration_value& max_squared_alpha, int& p, int& dim_max, Filtration_value& min_persistence) {
- namespace po = boost::program_options;
-
- po::options_description hidden("Hidden options");
- hidden.add_options()("input-file", po::value<std::string>(&file_name),
- "Name of file containing a point set in off format.");
-
- po::options_description visible("Allowed options", 100);
- Filtration_value default_alpha = std::numeric_limits<Filtration_value>::infinity();
- visible.add_options()("help,h", "produce help message")("landmarks,l", po::value<int>(&nbL),
- "Number of landmarks to choose from the point cloud.")(
- "output-file,o", po::value<std::string>(&filediag)->default_value(std::string()),
- "Name of file in which the persistence diagram is written. Default print in std::cout")(
- "max-sq-alpha,a", po::value<Filtration_value>(&max_squared_alpha)->default_value(default_alpha),
- "Maximal squared relaxation parameter.")(
- "field-charac,p", po::value<int>(&p)->default_value(11),
- "Characteristic p of the coefficient field Z/pZ for computing homology.")(
- "min-persistence,m", po::value<Filtration_value>(&min_persistence)->default_value(0),
- "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length "
- "intervals")("cpx-dimension,d", po::value<int>(&dim_max)->default_value(std::numeric_limits<int>::max()),
- "Maximal dimension of the strong witness complex we want to compute.");
-
- po::positional_options_description pos;
- pos.add("input-file", 1);
-
- po::options_description all;
- all.add(visible).add(hidden);
- po::variables_map vm;
-
- po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm);
- po::notify(vm);
-
- if (vm.count("help") || !vm.count("input-file")) {
- std::cout << std::endl;
- std::cout << "Compute the persistent homology with coefficient field Z/pZ \n";
- std::cout << "of a Strong witness complex defined on a set of input points.\n \n";
- std::cout << "The output diagram contains one bar per line, written with the convention: \n";
- std::cout << " p dim b d \n";
- std::cout << "where dim is the dimension of the homological feature,\n";
- std::cout << "b and d are respectively the birth and death of the feature and \n";
- std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl;
-
- std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl;
- std::cout << visible << std::endl;
- exit(-1);
- }
-}