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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): Clément Maria
- *
- * Copyright (C) 2014 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/graph_simplicial_complex.h>
-#include <gudhi/distance_functions.h>
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_off_io.h>
-
-#include <boost/program_options.hpp>
-
-#include <string>
-#include <vector>
-#include <limits> // infinity
-#include <utility> // for pair
-#include <map>
-
-// ----------------------------------------------------------------------------
-// rips_persistence_step_by_step is an example of each step that is required to
-// build a Rips over a Simplex_tree. Please refer to rips_persistence to see
-// how to do the same thing with the Rips_complex wrapper for less detailed
-// steps.
-// ----------------------------------------------------------------------------
-
-// Types definition
-using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Vertex_handle = Simplex_tree::Vertex_handle;
-using Filtration_value = Simplex_tree::Filtration_value;
-using Proximity_graph = Gudhi::Proximity_graph<Simplex_tree>;
-
-using Field_Zp = Gudhi::persistent_cohomology::Field_Zp;
-using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >;
-using Point = std::vector<double>;
-using Points_off_reader = Gudhi::Points_off_reader<Point>;
-
-void program_options(int argc, char * argv[]
- , std::string & off_file_points
- , std::string & filediag
- , Filtration_value & threshold
- , int & dim_max
- , int & p
- , Filtration_value & min_persistence);
-
-int main(int argc, char * argv[]) {
- std::string off_file_points;
- std::string filediag;
- Filtration_value threshold;
- int dim_max;
- int p;
- Filtration_value min_persistence;
-
- program_options(argc, argv, off_file_points, filediag, threshold, dim_max, p, min_persistence);
-
- // Extract the points from the file filepoints
- Points_off_reader off_reader(off_file_points);
-
- // Compute the proximity graph of the points
- Proximity_graph prox_graph = Gudhi::compute_proximity_graph<Simplex_tree>(off_reader.get_point_cloud(),
- threshold,
- Gudhi::Euclidean_distance());
-
- // Construct the Rips complex in a Simplex Tree
- Simplex_tree st;
- // insert the proximity graph in the simplex tree
- st.insert_graph(prox_graph);
- // expand the graph until dimension dim_max
- st.expansion(dim_max);
-
- std::cout << "The complex contains " << st.num_simplices() << " simplices \n";
- std::cout << " and has dimension " << st.dimension() << " \n";
-
- // Sort the simplices in the order of the filtration
- st.initialize_filtration();
-
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(st);
- // 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[]
- , std::string & off_file_points
- , std::string & filediag
- , Filtration_value & threshold
- , int & dim_max
- , int & p
- , Filtration_value & min_persistence) {
- namespace po = boost::program_options;
- po::options_description hidden("Hidden options");
- hidden.add_options()
- ("input-file", po::value<std::string>(&off_file_points),
- "Name of an OFF file containing a point set.\n");
-
- po::options_description visible("Allowed options", 100);
- visible.add_options()
- ("help,h", "produce help message")
- ("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-edge-length,r",
- po::value<Filtration_value>(&threshold)->default_value(std::numeric_limits<Filtration_value>::infinity()),
- "Maximal length of an edge for the Rips complex construction.")
- ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1),
- "Maximal dimension of the Rips complex we want to compute.")
- ("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),
- "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals");
-
- 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 Rips 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);
- }
-}