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Diffstat (limited to 'example/Persistent_cohomology/rips_multifield_persistence.cpp')
-rw-r--r-- | example/Persistent_cohomology/rips_multifield_persistence.cpp | 158 |
1 files changed, 158 insertions, 0 deletions
diff --git a/example/Persistent_cohomology/rips_multifield_persistence.cpp b/example/Persistent_cohomology/rips_multifield_persistence.cpp new file mode 100644 index 00000000..c5cd775d --- /dev/null +++ b/example/Persistent_cohomology/rips_multifield_persistence.cpp @@ -0,0 +1,158 @@ +/* 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 Sophia Antipolis-Méditerranée (France) + * + * 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/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Persistent_cohomology/Multi_field.h> + +#include <boost/program_options.hpp> + +#include <string> +#include <vector> + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & min_p + , int & max_p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string filepoints; + std::string filediag; + Filtration_value threshold; + int dim_max; + int min_p; + int max_p; + Filtration_value min_persistence; + + program_options(argc, argv, filepoints, filediag, threshold, dim_max, min_p, max_p, min_persistence); + + // Extract the points from the file filepoints + typedef std::vector<double> Point_t; + std::vector< Point_t > points; + read_points(filepoints, points); + + // Compute the proximity graph of the points + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance<Point_t>); + + // Construct the Rips complex in a Simplex Tree + typedef Simplex_tree<Simplex_tree_options_fast_persistence> ST; + ST 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); + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Compute the persistence diagram of the complex + Persistent_cohomology<ST, Multi_field > pcoh(st); + // initializes the coefficient field for homology + pcoh.init_coefficients(min_p, max_p); + // compute persistent homology, disgarding persistent features of life shorter than min_persistence + 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 & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & min_p + , int & max_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>(&filepoints), + "Name of file containing a point set. Format is one point per line: X1 ... Xd \n"); + + po::options_description visible("Allowed options"); + 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(0), + "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.") + ("min-field-charac,p", po::value<int>(&min_p)->default_value(2), + "Minimal characteristic p of the coefficient field Z/pZ.") + ("max-field-charac,q", po::value<int>(&max_p)->default_value(1223), + "Minimial characteristic q of the coefficient field Z/pZ.") + ("min-persistence,m", po::value<Filtration_value>(&min_persistence), + "Minimal lifetime of homology feature to be recorded. Default is 0"); + + 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 various coefficient fields \n"; + std::cout << "of a Rips complex defined on a set of input points. The coefficient \n"; + std::cout << "fields are all the Z/rZ for a prime number r contained in the \n"; + std::cout << "specified range [p,q]\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p1*...*pr 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 << "p1*...*pr is the product of prime numbers pi such that the homology \n"; + std::cout << "feature exists in homology with Z/piZ coefficients." << std::endl << std::endl; + + std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; + std::cout << visible << std::endl; + std::abort(); + } +} |