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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/>.
- */
-
-#ifndef BOOTSTRAP_H
-#define BOOTSTRAP_H
-
-//concretizations
-#include <gudhi/persistence_vectors.h>
-#include <gudhi/Persistence_landscape.h>
-#include <gudhi/Persistence_landscape_on_grid.h>
-#include <gudhi/Persistence_heat_maps.h>
-
-#ifdef GUDHI_USE_TBB
-#include <tbb/parallel_sort.h>
-#include <tbb/task_scheduler_init.h>
-#endif
-
-#include <vector>
-#include <algorithm>
-#include <random>
-#include <ctime>
-
-namespace Gudhi
-{
-namespace Gudhi_stat
-{
-
-template < typename TopologicalObject >
-class difference_of_objects
-{
-public:
- TopologicalObject operator()( const TopologicalObject& first, const TopologicalObject& second )const
- {
- return first-second;
- }
-};
-
-template < typename TopologicalObject >
-class norm_of_objects
-{
-public:
- norm_of_objects():power(1){}
- norm_of_objects( double power_ ):power(power_){}
- double operator()( const TopologicalObject& obj )const
- {
- TopologicalObject empty;
- double dist = empty.distance( obj , power );
- //std::cerr << "dist : " << dist << std::endl;getchar();
- return dist;
- }
-private:
- double power;
-};
-
-
-
-/**
-* This is a generic function to perform multiplicative bootstrap.
-**/
-template < typename TopologicalObject , typename OperationOnObjects , typename NormOnObjects >
-double multiplicative_bootstrap( const std::vector< TopologicalObject* >& topological_objects , size_t number_of_bootstrap_operations , const OperationOnObjects& oper , const NormOnObjects& norm , double quantile = 0.95 , size_t maximal_number_of_threads_in_TBB = std::numeric_limits<size_t>::max() )
-{
- bool dbg = false;
-
- #ifdef GUDHI_USE_TBB
- tbb::task_scheduler_init init(maximal_number_of_threads_in_TBB == std::numeric_limits<size_t>::max() ? tbb::task_scheduler_init::automatic : maximal_number_of_threads_in_TBB);
- #endif
-
- //initialization of a random number generator:
- std::random_device rd;
- std::mt19937 generator( time(NULL) );
- std::normal_distribution<> norm_distribution(0.,1.);
-
-
- //first compute an average of topological_objects
- TopologicalObject average;
- average.compute_average( topological_objects );
-
- std::vector< double > vector_of_intermediate_characteristics( number_of_bootstrap_operations , 0 );
-
-
- #ifdef GUDHI_USE_TBB
- tbb::parallel_for ( tbb::blocked_range<size_t>(0, number_of_bootstrap_operations), [&](const tbb::blocked_range<size_t>& range)
- {
- for ( size_t it_no = range.begin() ; it_no != range.end() ; ++it_no )
- #else
- for ( size_t it_no = 0 ; it_no < number_of_bootstrap_operations ; ++it_no )
- #endif
- {
- if ( dbg )
- {
- std::cout << "Still : " << number_of_bootstrap_operations-it_no << " tests to go. \n The subsampled vector consist of points number : ";
- }
-
-
- //and compute the intermediate characteristic:
- TopologicalObject result;
- for ( size_t i = 0 ; i != topological_objects.size() ; ++i )
- {
- double rand_variable = norm_distribution( generator );
- result = result + rand_variable*oper(*(topological_objects[i]) , average);
- }
- if ( dbg )
- {
- std::cerr << "Result 1 : " << result << std::endl;
- getchar();
- }
- //HERE THE NORM SEEMS TO BE MISSING!!
- result = result.abs();
- if ( dbg )
- {
- std::cerr << "Result 2 : " << result << std::endl;
- getchar();
- }
- result = result*(1.0/sqrt( topological_objects.size() ));
- if ( dbg )
- {
- std::cerr << "Result 3 : " << result << std::endl;
- getchar();
- }
- //NEED TO TAKE MAX
- if ( dbg )
- {
- std::cerr << "Result 4 : " << norm(result) << std::endl;
- getchar();
- }
- vector_of_intermediate_characteristics[it_no] = norm(result);
- }
- #ifdef GUDHI_USE_TBB
- }
- );
- #endif
-
-
-
- size_t position_of_quantile = floor(quantile*vector_of_intermediate_characteristics.size());
- if ( position_of_quantile ) --position_of_quantile;
- if ( dbg )
- {
- std::cout << "position_of_quantile : " << position_of_quantile << ", and here is the array : " << std::endl;
- for ( size_t i = 0 ; i != vector_of_intermediate_characteristics.size() ; ++i )
- {
- std::cout << vector_of_intermediate_characteristics[i] << std::endl;
- }
- std::cout << std::endl;
- }
-
- //now we need to sort the vector_of_distances and find the quantile:
- std::nth_element (vector_of_intermediate_characteristics.begin(), vector_of_intermediate_characteristics.begin()+position_of_quantile, vector_of_intermediate_characteristics.end());
- double result = vector_of_intermediate_characteristics[ position_of_quantile ]/(sqrt( topological_objects.size() ));
- if ( dbg )std::cout << "Result : " << result << std::endl;
-
- return result;
-
-}//multiplicative_bootstrap
-
-}//namespace Gudhi_stat
-}//namespace Gudhi
-
-#endif