/* 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): Pawel Dlotko * * Copyright (C) 2015 INRIA (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 . */ #define BOOST_TEST_DYN_LINK #define BOOST_TEST_MODULE "Persistence_representations" #include #include #include "gudhi/Persistence_intervals.h" #include using namespace Gudhi; using namespace Gudhi::Persistence_representations; double epsilon = 0.0000005; //cout << "Left most end of the interval : " << min_max_.first << std::endl; //cout << "Right most end of the interval : " << min_max_.second << std::endl; BOOST_AUTO_TEST_CASE(check_min_max_function) { Persistence_intervals p( "data/file_with_diagram" ); std::pair min_max_ = p.get_x_range(); //cout << min_max_.first << " " << min_max_.second << std::endl;getchar(); BOOST_CHECK( fabs ( min_max_.first - 0.0290362 ) <= epsilon ); BOOST_CHECK( fabs ( min_max_.second - 0.994537 ) <= epsilon ); } BOOST_AUTO_TEST_CASE(check_length_of_dominant_intervals) { Persistence_intervals p( "data/file_with_diagram" ); std::vector dominant_ten_intervals_length = p.length_of_dominant_intervals(10); std::vector< double > dominant_intervals_length; dominant_intervals_length.push_back(0.862625); dominant_intervals_length.push_back(0.800893); dominant_intervals_length.push_back(0.762061); dominant_intervals_length.push_back(0.756501); dominant_intervals_length.push_back(0.729367); dominant_intervals_length.push_back(0.718177); dominant_intervals_length.push_back(0.708395); dominant_intervals_length.push_back(0.702844); dominant_intervals_length.push_back(0.700468); dominant_intervals_length.push_back(0.622177); for ( size_t i = 0 ; i != dominant_ten_intervals_length.size() ; ++i ) { BOOST_CHECK( fabs ( dominant_ten_intervals_length[i] - dominant_intervals_length[i] ) <= epsilon ); } } BOOST_AUTO_TEST_CASE(check_dominant_intervals) { Persistence_intervals p( "data/file_with_diagram" ); std::vector< std::pair > ten_dominant_intervals = p.dominant_intervals( 10 ); std::vector< std::pair > templ; templ.push_back( std::pair( 0.114718,0.977343) ); templ.push_back( std::pair( 0.133638,0.93453) ); templ.push_back( std::pair( 0.104599,0.866659) ); templ.push_back( std::pair( 0.149798,0.906299) ); templ.push_back( std::pair( 0.247352,0.976719) ); templ.push_back( std::pair( 0.192675,0.910852) ); templ.push_back( std::pair( 0.191836,0.900231) ); templ.push_back( std::pair( 0.284998,0.987842) ); templ.push_back( std::pair( 0.294069,0.994537) ); templ.push_back( std::pair( 0.267421,0.889597) ); for ( size_t i = 0 ; i != ten_dominant_intervals.size() ; ++i ) { BOOST_CHECK( fabs ( ten_dominant_intervals[i].first - templ[i].first ) <= epsilon ); BOOST_CHECK( fabs ( ten_dominant_intervals[i].second - templ[i].second ) <= epsilon ); } } BOOST_AUTO_TEST_CASE(check_histogram_of_lengths) { Persistence_intervals p( "data/file_with_diagram" ); std::vector< size_t > histogram = p.histogram_of_lengths( 10 ); std::vector< size_t > template_histogram; template_histogram.push_back(10); template_histogram.push_back(5); template_histogram.push_back(3); template_histogram.push_back(4); template_histogram.push_back(4); template_histogram.push_back(3); template_histogram.push_back(6); template_histogram.push_back(1); template_histogram.push_back(7); template_histogram.push_back(1); template_histogram.push_back(1); for ( size_t i = 0 ; i != histogram.size() ; ++i ) { BOOST_CHECK( fabs ( histogram[i] - template_histogram[i] ) <= epsilon ); } } BOOST_AUTO_TEST_CASE(check_cumulative_histograms_of_lengths) { Persistence_intervals p( "data/file_with_diagram" ); std::vector< size_t > cumulative_histogram = p.cumulative_histogram_of_lengths( 10 ); std::vector< size_t > template_cumulative_histogram; template_cumulative_histogram.push_back(10); template_cumulative_histogram.push_back(15); template_cumulative_histogram.push_back(18); template_cumulative_histogram.push_back(22); template_cumulative_histogram.push_back(26); template_cumulative_histogram.push_back(29); template_cumulative_histogram.push_back(35); template_cumulative_histogram.push_back(36); template_cumulative_histogram.push_back(43); template_cumulative_histogram.push_back(44); template_cumulative_histogram.push_back(45); for ( size_t i = 0 ; i != cumulative_histogram.size() ; ++i ) { BOOST_CHECK( fabs ( cumulative_histogram[i] - template_cumulative_histogram[i] ) <= epsilon ); } } BOOST_AUTO_TEST_CASE(check_characteristic_function_of_diagram) { Persistence_intervals p( "data/file_with_diagram" ); std::pair min_max_ = p.get_x_range(); std::vector< double > char_funct_diag = p.characteristic_function_of_diagram( min_max_.first , min_max_.second ); std::vector< double > template_char_funct_diag; template_char_funct_diag.push_back( 0.370665 ); template_char_funct_diag.push_back( 0.84058 ); template_char_funct_diag.push_back( 1.24649 ); template_char_funct_diag.push_back( 1.3664 ); template_char_funct_diag.push_back( 1.34032 ); template_char_funct_diag.push_back( 1.31904 ); template_char_funct_diag.push_back( 1.14076 ); template_char_funct_diag.push_back( 0.991259 ); template_char_funct_diag.push_back( 0.800714 ); template_char_funct_diag.push_back( 0.0676303 ); for ( size_t i = 0 ; i != char_funct_diag.size() ; ++i ) { //cout << char_funct_diag[i] << std::endl; if ( fabs ( char_funct_diag[i] - template_char_funct_diag[i] ) >= 0.0001 ) { std::cout << "Boost test fail check_characteristic_function_of_diagram : " << std::endl; std::cerr << char_funct_diag[i] << " " << template_char_funct_diag[i] << std::endl; std::cerr << fabs ( char_funct_diag[i] - template_char_funct_diag[i] ) << std::endl; std::cerr << 0.0001 << std::endl; getchar(); } BOOST_CHECK( fabs ( char_funct_diag[i] - template_char_funct_diag[i] ) <= 0.0001 ); } } BOOST_AUTO_TEST_CASE(check_cumulative_characteristic_function_of_diagram) { Persistence_intervals p( "data/file_with_diagram" ); std::pair min_max_ = p.get_x_range(); std::vector< double > cumul_char_funct_diag = p.cumulative_characteristic_function_of_diagram( min_max_.first , min_max_.second ); std::vector< double > template_char_funct_diag_cumul; template_char_funct_diag_cumul.push_back(0.370665); template_char_funct_diag_cumul.push_back(1.21125); template_char_funct_diag_cumul.push_back(2.45774); template_char_funct_diag_cumul.push_back(3.82414); template_char_funct_diag_cumul.push_back(5.16446); template_char_funct_diag_cumul.push_back(6.4835); template_char_funct_diag_cumul.push_back(7.62426); template_char_funct_diag_cumul.push_back(8.61552); template_char_funct_diag_cumul.push_back(9.41623); template_char_funct_diag_cumul.push_back(9.48386); for ( size_t i = 0 ; i != cumul_char_funct_diag.size() ; ++i ) { //cout << cumul_char_funct_diag[i] << std::endl; BOOST_CHECK( fabs (cumul_char_funct_diag[i] - template_char_funct_diag_cumul[i] ) <= 0.0001 ); } } BOOST_AUTO_TEST_CASE(check_compute_persistent_betti_numbers) { Persistence_intervals p( "data/file_with_diagram" ); std::vector< std::pair< double , double > > pbns; pbns.push_back(std::pair( 0.0290362,1 )); pbns.push_back(std::pair( 0.0307676,2 )); pbns.push_back(std::pair( 0.0366312,3 )); pbns.push_back(std::pair( 0.0544614,4 )); pbns.push_back(std::pair( 0.0920033,5 )); pbns.push_back(std::pair( 0.104599,6 )); pbns.push_back(std::pair( 0.114718,7 )); pbns.push_back(std::pair( 0.117379,8 )); pbns.push_back(std::pair( 0.123493,9 )); pbns.push_back(std::pair( 0.133638,10 )); pbns.push_back(std::pair( 0.137798,9 )); pbns.push_back(std::pair( 0.149798,10 )); pbns.push_back(std::pair( 0.155421,11 )); pbns.push_back(std::pair( 0.158443,12 )); pbns.push_back(std::pair( 0.176956,13 )); pbns.push_back(std::pair( 0.183234,12 )); pbns.push_back(std::pair( 0.191069,13 )); pbns.push_back(std::pair( 0.191333,14 )); pbns.push_back(std::pair( 0.191836,15 )); pbns.push_back(std::pair( 0.192675,16 )); pbns.push_back(std::pair( 0.208564,17 )); pbns.push_back(std::pair( 0.218425,18 )); pbns.push_back(std::pair( 0.219902,17 )); pbns.push_back(std::pair( 0.23233,16 )); pbns.push_back(std::pair( 0.234558,17 )); pbns.push_back(std::pair( 0.237166,16 )); pbns.push_back(std::pair( 0.247352,17 )); pbns.push_back(std::pair( 0.267421,18 )); pbns.push_back(std::pair( 0.268093,19 )); pbns.push_back(std::pair( 0.278734,18 )); pbns.push_back(std::pair( 0.284722,19 )); pbns.push_back(std::pair( 0.284998,20 )); pbns.push_back(std::pair( 0.294069,21 )); pbns.push_back(std::pair( 0.306293,22 )); pbns.push_back(std::pair( 0.322361,21 )); pbns.push_back(std::pair( 0.323152,22 )); pbns.push_back(std::pair( 0.371021,23 )); pbns.push_back(std::pair( 0.372395,24 )); pbns.push_back(std::pair( 0.387744,25 )); pbns.push_back(std::pair( 0.435537,26 )); pbns.push_back(std::pair( 0.462911,25 )); pbns.push_back(std::pair( 0.483569,26 )); pbns.push_back(std::pair( 0.489209,25 )); pbns.push_back(std::pair( 0.517115,24 )); pbns.push_back(std::pair( 0.522197,23 )); pbns.push_back(std::pair( 0.532665,22 )); pbns.push_back(std::pair( 0.545262,23 )); pbns.push_back(std::pair( 0.587227,22 )); pbns.push_back(std::pair( 0.593036,23 )); pbns.push_back(std::pair( 0.602647,24 )); pbns.push_back(std::pair( 0.605044,25 )); pbns.push_back(std::pair( 0.621962,24 )); pbns.push_back(std::pair( 0.629449,23 )); pbns.push_back(std::pair( 0.636719,22 )); pbns.push_back(std::pair( 0.64957,21 )); pbns.push_back(std::pair( 0.650781,22 )); pbns.push_back(std::pair( 0.654951,23 )); pbns.push_back(std::pair( 0.683489,24 )); pbns.push_back(std::pair( 0.687172,23 )); pbns.push_back(std::pair( 0.69703,22 )); pbns.push_back(std::pair( 0.701174,21 )); pbns.push_back(std::pair( 0.717623,22 )); pbns.push_back(std::pair( 0.722023,21 )); pbns.push_back(std::pair( 0.722298,20 )); pbns.push_back(std::pair( 0.725347,19 )); pbns.push_back(std::pair( 0.73071,18 )); pbns.push_back(std::pair( 0.758355,17 )); pbns.push_back(std::pair( 0.770913,18 )); pbns.push_back(std::pair( 0.790833,17 )); pbns.push_back(std::pair( 0.821211,16 )); pbns.push_back(std::pair( 0.849305,17 )); pbns.push_back(std::pair( 0.853669,16 )); pbns.push_back(std::pair( 0.866659,15 )); pbns.push_back(std::pair( 0.872896,16 )); pbns.push_back(std::pair( 0.889597,15 )); pbns.push_back(std::pair( 0.900231,14 )); pbns.push_back(std::pair( 0.903847,13 )); pbns.push_back(std::pair( 0.906299,12 )); pbns.push_back(std::pair( 0.910852,11 )); pbns.push_back(std::pair( 0.93453,10 )); pbns.push_back(std::pair( 0.944757,9 )); pbns.push_back(std::pair( 0.947812,8 )); pbns.push_back(std::pair( 0.959154,7 )); pbns.push_back(std::pair( 0.975654,6 )); pbns.push_back(std::pair( 0.976719,5 )); pbns.push_back(std::pair( 0.977343,4 )); pbns.push_back(std::pair( 0.980129,3 )); pbns.push_back(std::pair( 0.987842,2 )); pbns.push_back(std::pair( 0.990127,1 )); pbns.push_back(std::pair( 0.994537,0 )); std::vector< std::pair< double , size_t > > pbns_new = p.compute_persistent_betti_numbers(); for ( size_t i = 0 ; i != pbns.size() ; ++i ) { //cout << pbns_new[i].first << "," << pbns_new[i].second << std::endl; BOOST_CHECK( fabs ( pbns[i].first - pbns_new[i].first ) <= epsilon ); BOOST_CHECK( fabs ( pbns[i].second - pbns_new[i].second ) <= epsilon ); } } BOOST_AUTO_TEST_CASE(check_k_n_n) { Persistence_intervals p( "data/file_with_diagram" ); std::vector< double > knn = p.k_n_n( 5 ); std::vector< double > knn_template; knn_template.push_back( 1.04208 ); knn_template.push_back( 1.00344 ); knn_template.push_back( 0.979395 ); knn_template.push_back( 0.890643 ); knn_template.push_back( 0.874769 ); knn_template.push_back( 0.845787 ); knn_template.push_back( 0.819713 ); knn_template.push_back( 0.803984 ); knn_template.push_back( 0.799864 ); knn_template.push_back( 0.786945 ); for ( size_t i = 0 ; i != knn.size() ; ++i ) { //cout << knn[i] << std::endl; BOOST_CHECK( fabs ( knn[i] - knn_template[i] ) <= 0.000005 ); } }