#!/usr/bin/env python import gudhi import argparse """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): Vincent Rouvreau 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 . """ __author__ = "Vincent Rouvreau" __copyright__ = "Copyright (C) 2016 Inria" __license__ = "GPL v3" parser = argparse.ArgumentParser(description='EuclideanWitnessComplex creation from ' 'points read in a OFF file.', epilog='Example: ' 'example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py ' '-f ../data/points/tore3D_300.off -a 1.0 -n 20 -d 2' '- Constructs a weak witness complex with the ' 'points from the given OFF file.') parser.add_argument("-f", "--file", type=str, required=True) parser.add_argument("-a", "--max_alpha_square", type=float, required=True) parser.add_argument("-n", "--number_of_landmarks", type=int, required=True) parser.add_argument("-d", "--limit_dimension", type=int, required=True) parser.add_argument("-b", "--band", type=float, default=0.) parser.add_argument('--no-diagram', default=False, action='store_true' , help='Flag for not to display the diagrams') args = parser.parse_args() with open(args.file, 'r') as f: first_line = f.readline() if (first_line == 'OFF\n') or (first_line == 'nOFF\n'): print("#####################################################################") print("EuclideanWitnessComplex creation from points read in a OFF file") witnesses = gudhi.read_off(off_file=args.file) landmarks = gudhi.pick_n_random_points(points=witnesses, nb_points=args.number_of_landmarks) message = "EuclideanWitnessComplex with max_edge_length=" + repr(args.max_alpha_square) + \ " - Number of landmarks=" + repr(args.number_of_landmarks) print(message) witness_complex = gudhi.EuclideanWitnessComplex(witnesses=witnesses, landmarks=landmarks) simplex_tree = witness_complex.create_simplex_tree(max_alpha_square=args.max_alpha_square, limit_dimension=args.limit_dimension) message = "Number of simplices=" + repr(simplex_tree.num_simplices()) print(message) diag = simplex_tree.persistence() print("betti_numbers()=") print(simplex_tree.betti_numbers()) if args.no_diagram == False: pplot = gudhi.plot_persistence_diagram(diag, band=args.band) pplot.show() else: print(args.file, "is not a valid OFF file") f.close()