summaryrefslogtreecommitdiff
path: root/example/Persistent_cohomology/alpha_complex_persistence.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'example/Persistent_cohomology/alpha_complex_persistence.cpp')
-rw-r--r--example/Persistent_cohomology/alpha_complex_persistence.cpp117
1 files changed, 117 insertions, 0 deletions
diff --git a/example/Persistent_cohomology/alpha_complex_persistence.cpp b/example/Persistent_cohomology/alpha_complex_persistence.cpp
new file mode 100644
index 00000000..cb181936
--- /dev/null
+++ b/example/Persistent_cohomology/alpha_complex_persistence.cpp
@@ -0,0 +1,117 @@
+#include <boost/program_options.hpp>
+
+#include <CGAL/Epick_d.h>
+
+#include <gudhi/Alpha_complex.h>
+#include <gudhi/Persistent_cohomology.h>
+
+#include <iostream>
+#include <string>
+#include <limits> // for numeric_limits
+
+void program_options(int argc, char * argv[]
+ , std::string & off_file_points
+ , std::string & output_file_diag
+ , Filtration_value & alpha_square_max_value
+ , int & coeff_field_characteristic
+ , Filtration_value & min_persistence);
+
+int main(int argc, char **argv) {
+ std::string off_file_points;
+ std::string output_file_diag;
+ Filtration_value alpha_square_max_value;
+ int coeff_field_characteristic;
+ Filtration_value min_persistence;
+
+ program_options(argc, argv, off_file_points, output_file_diag, alpha_square_max_value,
+ coeff_field_characteristic, min_persistence);
+
+ // ----------------------------------------------------------------------------
+ // Init of an alpha complex from an OFF file
+ // ----------------------------------------------------------------------------
+ using Kernel = CGAL::Epick_d< CGAL::Dynamic_dimension_tag >;
+ Gudhi::alpha_complex::Alpha_complex<Kernel> alpha_complex_from_file(off_file_points, alpha_square_max_value);
+
+ // ----------------------------------------------------------------------------
+ // Display information about the alpha complex
+ // ----------------------------------------------------------------------------
+ std::cout << "Alpha complex is of dimension " << alpha_complex_from_file.dimension() <<
+ " - " << alpha_complex_from_file.num_simplices() << " simplices - " <<
+ alpha_complex_from_file.num_vertices() << " vertices." << std::endl;
+
+ // Sort the simplices in the order of the filtration
+ alpha_complex_from_file.initialize_filtration();
+
+ std::cout << "Simplex_tree dim: " << alpha_complex_from_file.dimension() << std::endl;
+ // Compute the persistence diagram of the complex
+ Gudhi::persistent_cohomology::Persistent_cohomology< Gudhi::alpha_complex::Alpha_complex<Kernel>,
+ Gudhi::persistent_cohomology::Field_Zp > pcoh(alpha_complex_from_file);
+ // initializes the coefficient field for homology
+ pcoh.init_coefficients(coeff_field_characteristic);
+
+ pcoh.compute_persistent_cohomology(min_persistence);
+
+ // Output the diagram in filediag
+ if (output_file_diag.empty()) {
+ pcoh.output_diagram();
+ } else {
+ std::cout << "Result in file: " << output_file_diag << std::endl;
+ std::ofstream out(output_file_diag);
+ pcoh.output_diagram(out);
+ out.close();
+ }
+
+ return 0;
+}
+
+void program_options(int argc, char * argv[]
+ , std::string & off_file_points
+ , std::string & output_file_diag
+ , Filtration_value & alpha_square_max_value
+ , int & coeff_field_characteristic
+ , 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 file containing a point set. Format is one point per line: X1 ... Xd ");
+
+ po::options_description visible("Allowed options", 100);
+ visible.add_options()
+ ("help,h", "produce help message")
+ ("output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
+ "Name of file in which the persistence diagram is written. Default print in std::cout")
+ ("max-alpha-square-value,r",
+ po::value<Filtration_value>(&alpha_square_max_value)->default_value(std::numeric_limits<Filtration_value>::infinity()),
+ "Maximal alpha square value for the Alpha complex construction.")
+ ("field-charac,p", po::value<int>(&coeff_field_characteristic)->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 an Alpha 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;
+ std::abort();
+ }
+}