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diff --git a/src/Gudhi_stat/test/persistence_lanscapes_test.cpp b/src/Gudhi_stat/test/persistence_lanscapes_test.cpp
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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): 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 <http://www.gnu.org/licenses/>.
+ */
+
+
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "Persistence_representations"
+#include <boost/test/unit_test.hpp>
+#include <gudhi/reader_utils.h>
+#include <gudhi/Persistence_landscape.h>
+
+#include <iostream>
+#include <limits>
+
+
+
+using namespace Gudhi;
+using namespace Gudhi::Persistence_representations;
+
+
+double epsilon = 0.0000005;
+
+
+
+
+BOOST_AUTO_TEST_CASE(check_construction_of_landscape)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ Persistence_landscape q;
+ q.load_landscape_from_file( "data/file_with_landscape_from_file_with_diagram" );
+ BOOST_CHECK( p == q );
+}
+
+
+BOOST_AUTO_TEST_CASE(check_construction_of_landscape_form_gudhi_style_file)
+{
+ Persistence_landscape p( "data/persistence_file_with_four_entries_per_line" , 1 );
+ //p.print_to_file("persistence_file_with_four_entries_per_line_landscape");
+ Persistence_landscape q;
+ q.load_landscape_from_file( "data/persistence_file_with_four_entries_per_line_landscape" );
+ BOOST_CHECK( p == q );
+}
+
+
+BOOST_AUTO_TEST_CASE(check_computations_of_integrals)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ double integral = p.compute_integral_of_landscape();
+ //cerr << integral << " " << 2.34992 << endl;
+ BOOST_CHECK( fabs( integral - 2.34992 ) <= 0.00001 );
+}
+
+
+BOOST_AUTO_TEST_CASE(check_computations_of_integrals_for_each_level_separatelly)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+
+ std::vector< double > integrals_fir_different_levels;
+ integrals_fir_different_levels.push_back( 0.216432 );
+ integrals_fir_different_levels.push_back( 0.204763 );
+ integrals_fir_different_levels.push_back( 0.188793 );
+ integrals_fir_different_levels.push_back( 0.178856 );
+ integrals_fir_different_levels.push_back( 0.163142 );
+ integrals_fir_different_levels.push_back( 0.155015 );
+ integrals_fir_different_levels.push_back( 0.143046 );
+ integrals_fir_different_levels.push_back( 0.133765 );
+ integrals_fir_different_levels.push_back( 0.123531 );
+ integrals_fir_different_levels.push_back( 0.117393 );
+ integrals_fir_different_levels.push_back( 0.111269 );
+ integrals_fir_different_levels.push_back( 0.104283 );
+ integrals_fir_different_levels.push_back( 0.0941308 );
+ integrals_fir_different_levels.push_back( 0.0811208 );
+ integrals_fir_different_levels.push_back( 0.0679001 );
+ integrals_fir_different_levels.push_back( 0.0580801 );
+ integrals_fir_different_levels.push_back( 0.0489647 );
+ integrals_fir_different_levels.push_back( 0.0407936 );
+ integrals_fir_different_levels.push_back( 0.0342599 );
+ integrals_fir_different_levels.push_back( 0.02896 );
+ integrals_fir_different_levels.push_back( 0.0239881 );
+ integrals_fir_different_levels.push_back( 0.0171792 );
+ integrals_fir_different_levels.push_back( 0.0071511 );
+ integrals_fir_different_levels.push_back( 0.00462067 );
+ integrals_fir_different_levels.push_back( 0.00229033 );
+ integrals_fir_different_levels.push_back( 0.000195296 );
+
+
+
+
+ for ( size_t level = 0 ; level != p.size() ; ++level )
+ {
+ double integral = p.compute_integral_of_a_level_of_a_landscape( level );
+ BOOST_CHECK( fabs( integral - integrals_fir_different_levels[level] ) <= 0.00001 );
+ }
+
+}
+
+BOOST_AUTO_TEST_CASE(check_computations_of_integrals_of_powers_of_landscape)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+
+ std::vector<double> integrals_fir_different_powers;
+ integrals_fir_different_powers.push_back( 17.1692 );
+ integrals_fir_different_powers.push_back( 2.34992 );
+ integrals_fir_different_powers.push_back( 0.49857 );
+ integrals_fir_different_powers.push_back( 0.126405 );
+ integrals_fir_different_powers.push_back( 0.0355235 );
+
+ for ( size_t power = 0 ; power != 5 ; ++power )
+ {
+ double integral = p.compute_integral_of_landscape( (double)power );
+ BOOST_CHECK( fabs( integral - integrals_fir_different_powers[power] ) <= 0.00005 );
+ }
+}
+
+BOOST_AUTO_TEST_CASE(check_computations_of_values_on_different_points)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+
+
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(1,0.0) ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(1,0.1) - 0.0692324 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(1,0.2) - 0.163369 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(1,0.3) - 0.217115 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(2,0.0) ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(2,0.1) - 0.0633688 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(2,0.2) - 0.122361 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(2,0.3) - 0.195401 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(3,0.0) ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(3,0.1) - 0.0455386 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(3,0.2) - 0.0954012 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_value_at_a_given_point(3,0.3) - 0.185282 ) <= 0.00001 );
+}
+
+
+BOOST_AUTO_TEST_CASE(check_computations_sum_differences_and_multiplications)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ Persistence_landscape second;
+ second.load_landscape_from_file("data/file_with_landscape_from_file_with_diagram_1" );
+
+ Persistence_landscape sum = p + second;
+ Persistence_landscape difference = p - second;
+ Persistence_landscape multiply_by_scalar = 10*p;
+
+
+ Persistence_landscape template_sum;
+ template_sum.load_landscape_from_file( "data/sum" );
+
+ Persistence_landscape template_difference;
+ template_difference.load_landscape_from_file( "data/difference" );
+
+ Persistence_landscape template_multiply_by_scalar;
+ template_multiply_by_scalar.load_landscape_from_file( "data/multiply_by_scalar" );
+
+ BOOST_CHECK( sum == template_sum );
+ BOOST_CHECK( difference == template_difference );
+ BOOST_CHECK( multiply_by_scalar == template_multiply_by_scalar );
+}
+
+
+
+BOOST_AUTO_TEST_CASE(check_computations_of_maxima_and_norms)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ Persistence_landscape second;
+ second.load_landscape_from_file("data/file_with_landscape_from_file_with_diagram_1" );
+ Persistence_landscape sum = p + second;
+
+ BOOST_CHECK( fabs( p.compute_maximum() - 0.431313 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_norm_of_landscape(1) - 2.34992 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_norm_of_landscape(2) - 0.706095 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.compute_norm_of_landscape(3) - 0.501867 ) <= 0.00001 );
+ BOOST_CHECK( fabs( compute_distance_of_landscapes(p,sum,1) - 27.9323 ) <= 0.00005 );
+ BOOST_CHECK( fabs( compute_distance_of_landscapes(p,sum,2) - 2.35199 ) <= 0.00001 );
+ BOOST_CHECK( fabs(compute_distance_of_landscapes( p , sum , std::numeric_limits<double>::max() ) - 0.464478 ) <= 0.00001 );
+}
+
+
+BOOST_AUTO_TEST_CASE(check_default_parameters_of_distances )
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+
+ std::vector< std::pair< double , double > > diag1 = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram_1" );
+ Persistence_landscape q( diag1 );
+
+ double dist_numeric_limit_max = p.distance( q,std::numeric_limits<double>::max() );
+ double dist_infinity = p.distance( q,std::numeric_limits<double>::infinity() );
+
+ BOOST_CHECK( dist_numeric_limit_max == dist_infinity );
+}
+
+BOOST_AUTO_TEST_CASE(check_computations_of_averages)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ std::vector< std::pair< double , double > > diag2 = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram_1" );
+ Persistence_landscape q( diag2 );
+ Persistence_landscape av;
+ av.compute_average( {&p,&q} );
+
+ Persistence_landscape template_average;
+ template_average.load_landscape_from_file( "data/average" );
+ BOOST_CHECK ( template_average == av );
+}
+
+
+
+
+BOOST_AUTO_TEST_CASE(check_computations_of_distances)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ std::vector< std::pair< double , double > > diag2 = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram_1" );
+ Persistence_landscape q( diag2 );
+ BOOST_CHECK( fabs( p.distance( q )- 25.5824) <= 0.00005 );
+ BOOST_CHECK( fabs( p.distance( q , 2) - 2.12636 ) <= 0.00001 );
+ BOOST_CHECK( fabs( p.distance( q , std::numeric_limits<double>::max() )-0.359068 ) <= 0.00001 );
+ std::cerr << "p.distance( q , std::numeric_limits<double>::max() ) : " << p.distance( q , std::numeric_limits<double>::max() ) << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE(check_computations_of_scalar_product)
+{
+ std::vector< std::pair< double , double > > diag = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram" );
+ Persistence_landscape p( diag );
+ std::vector< std::pair< double , double > > diag2 = read_persistence_intervals_in_one_dimension_from_file( "data/file_with_diagram_1" );
+ Persistence_landscape q( diag2 );
+ BOOST_CHECK( fabs( p.compute_scalar_product( q ) - 0.754498 ) <= 0.00001 );
+}
+
+
+
+//Below I am storing the code used to generate tests for that functionality.
+/*
+if ( argc != 2 )
+ {
+ std::cerr << "To run this program, please provide a name of a file with persistence landscape \n";
+ //return 1;
+ }
+ Persistence_landscape p("../test/data/file_with_diagram");
+
+ Persistence_landscape q;
+ q.load_landscape_from_file( "file_with_landscape_from_file_with_diagram" );
+
+ if ( p != q )
+ {
+ cout << "Not equal \n";
+ }
+
+ double integral = p.compute_integral_of_landscape();
+ cout << "integral : " << integral <<endl;
+
+ //compute integral for each level separatelly
+ for ( size_t level = 0 ; level != p.size() ; ++level )
+ {
+ cout << p.compute_integral_of_landscape( level ) << endl;
+ }
+
+ //compute integral of p-th power of landscspe
+ for ( size_t power = 0 ; power != 5 ; ++power )
+ {
+ cout << p.compute_integral_of_landscape( power ) << endl;
+ }
+
+ cout << "Value of level 1 at 0 : " << p.compute_value_at_a_given_point(1,0.0) << endl;
+ cout << "Value of level 1 at 1 : " << p.compute_value_at_a_given_point(1,0.1) << endl;
+ cout << "Value of level 1 at 2 : " << p.compute_value_at_a_given_point(1,0.2) << endl;
+ cout << "Value of level 1 at 3 : " << p.compute_value_at_a_given_point(1,0.3) << endl;
+
+
+ cout << "Value of level 2 at 0 : " << p.compute_value_at_a_given_point(2,0.0) << endl;
+ cout << "Value of level 2 at 1 : " << p.compute_value_at_a_given_point(2,0.1) << endl;
+ cout << "Value of level 2 at 2 : " << p.compute_value_at_a_given_point(2,0.2) << endl;
+ cout << "Value of level 2 at 3 : " << p.compute_value_at_a_given_point(2,0.3) << endl;
+
+
+ cout << "Value of level 3 at 0 : " << p.compute_value_at_a_given_point(3,0.0) << endl;
+ cout << "Value of level 3 at 1 : " << p.compute_value_at_a_given_point(3,0.1) << endl;
+ cout << "Value of level 3 at 2 : " << p.compute_value_at_a_given_point(3,0.2) << endl;
+ cout << "Value of level 3 at 3 : " << p.compute_value_at_a_given_point(3,0.3) << endl;
+
+
+
+ Persistence_landscape second;
+ second.load_landscape_from_file("file_with_landscape_from_file_with_diagram_1" );
+
+ Persistence_landscape sum = p + second;
+ Persistence_landscape difference = p - second;
+ Persistence_landscape multiply_by_scalar = 10*p;
+
+ //sum.print_to_file("sum");
+ //difference.print_to_file("difference");
+ //multiply_by_scalar.print_to_file("multiply_by_scalar");
+
+ Persistence_landscape template_sum;
+ template_sum.load_landscape_from_file( "sum" );
+ Persistence_landscape template_difference;
+ template_difference.load_landscape_from_file( "difference" );
+ Persistence_landscape template_multiply_by_scalar;
+ template_multiply_by_scalar.load_landscape_from_file( "multiply_by_scalar" );
+
+ if ( sum != template_sum )
+ {
+ cerr << "Problem with sums \n";
+ }
+ if ( difference != template_difference )
+ {
+ cerr << "Problem with differences \n";
+ }
+ if ( multiply_by_scalar != template_multiply_by_scalar )
+ {
+ cerr << "Problem with multiplication by scalar \n";
+ }
+
+
+
+ cout << "Maximum : " << p.compute_maximum() << endl;
+
+ cout << "L^1 norm : " << p.compute_norm_of_landscape(1) << endl;
+ cout << "L^2 norm : " << p.compute_norm_of_landscape(2) << endl;
+ cout << "L^3 norm : " << p.compute_norm_of_landscape(3) << endl;
+
+
+ cout << "L^1 distance : " << compute_distance_of_landscapes(p,sum,1) << endl;
+ cout << "L^2 distance : " << compute_distance_of_landscapes(p,sum,2) << endl;
+ cout << "L^infty distance : " << compute_distance_of_landscapes(p,sum,std::numeric_limits<double>::max() ) << endl;
+
+ {
+ Persistence_landscape p( "../test/data/file_with_diagram" );
+ Persistence_landscape q( "../test/data/file_with_diagram_1" );
+ Persistence_landscape av;
+ av.compute_average( {&p,&q} );
+
+ Persistence_landscape template_average;
+ template_average.load_landscape_from_file( "average" );
+ if ( template_average != av )
+ {
+ cerr << "We have a problem with average \n";
+ }
+ }
+
+
+ {
+ Persistence_landscape p( "../test/data/file_with_diagram" );
+ Persistence_landscape q( "../test/data/file_with_diagram_1" );
+ cout << "L^1 distance : " << p.distance( &q ) << endl;
+ cout << "L^2 distance : " << p.distance( &q , 2) << endl;
+ cout << "L^infty distance : " << p.distance( &q , std::numeric_limits<double>::max() ) << endl;
+ }
+
+
+ {
+ Persistence_landscape p( "../test/data/file_with_diagram" );
+ Persistence_landscape q( "../test/data/file_with_diagram_1" );
+ cout << "Scalar product : " << p.compute_scalar_product( &q ) << endl;
+ }
+*/