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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 HAUSDORFF_DISTANCES_H
-#define HAUSDORFF_DISTANCES_H
-
-#include <cmath>
-#include <limits>
-#include <vector>
-#include <cstdlib>
-#include <iostream>
-
-namespace Gudhi
-{
-namespace Gudhi_stat
-{
-
-
-/**
- * This file contains various implementations of Hausrodff distances between collections of points. It contains various implementations that can be used for specific case.
-**/
-
-/**
- * The implementation below works for a case of a metric space given by a distance matrix, and a subspace of a metric space. Our task is to find a Hausdorff distance between the subspace and the whole space.
- * The input is a distance matrix (lower triangular part) and a vector of bools indicating a subspace (elementss set to true belongs to the space, the elements set to false do not).
-**/
-class Hausdorff_distance_between_subspace_and_the_whole_metric_space
-{
-public:
- Hausdorff_distance_between_subspace_and_the_whole_metric_space( const std::vector< std::vector<double> >& distance_matrix ):distance_matrix(distance_matrix){}
- double operator()( const std::vector< bool >& is_subspace )
- {
- double maximal_distance = -std::numeric_limits<double>::max();
- for ( size_t j = 0 ; j != this->distance_matrix.size() ; ++j )
- {
- double minimal_distance = std::numeric_limits<double>::max();
- for ( size_t i = 0 ; i != this->distance_matrix.size() ; ++i )
- {
- if ( !is_subspace[i] )continue;
- double distance = 0;
- if ( i < j )
- {
- distance = this->distance_matrix[i][j];
- }
- else
- {
- if ( i > j )distance = this->distance_matrix[j][i];
- }
- if ( distance > minimal_distance )minimal_distance = distance;
- }
- if ( maximal_distance < minimal_distance )maximal_distance = minimal_distance;
- }
- return maximal_distance;
- }//Hausdorff_distance_between_subspace_and_the_whole_metric_space
-
- double operator()( const std::vector< size_t >& subspace , const std::vector< size_t >& space = std::vector< size_t >() )
- {
- bool dbg = false;
- if ( dbg )
- {
- std::cerr << "Calling double operator()( const std::vector< size_t >& subspace , const std::vector< size_t >& space = std::vector< size_t >() ) method \n";
- std::cerr << "subspace.size() : " << subspace.size() << std::endl;
- }
- double maximal_distance = -std::numeric_limits<double>::max();
- for ( size_t j = 0 ; j != this->distance_matrix.size() ; ++j )
- {
- double minimal_distance = std::numeric_limits<double>::max();
- for ( size_t i = 0 ; i != subspace.size() ; ++i )
- {
- double distance = 0;
- if ( subspace[i] < j )
- {
- distance = this->distance_matrix[ j ][ subspace[i] ];
- }
- else
- {
- if ( subspace[i] > j )distance = this->distance_matrix[ subspace[i] ][ j ];
- }
- if ( distance < minimal_distance )minimal_distance = distance;
- }
- if ( maximal_distance < minimal_distance )maximal_distance = minimal_distance;
- }
- if ( dbg )
- {
- std::cerr << "maximal_distance : " << maximal_distance << std::endl;
- getchar();
- }
- return maximal_distance;
- }//Hausdorff_distance_between_subspace_and_the_whole_metric_space
-private:
- const std::vector< std::vector<double> >& distance_matrix;
-};
-
-template <typename PointType , typename distanceFunction >
-std::vector< std::vector<double> > compute_all_to_all_distance_matrix_between_points( const std::vector< PointType >& points )
-{
- bool dbg = false;
- std::vector< std::vector<double> > result;
- result.reserve( points.size() );
- distanceFunction f;
- for ( size_t i = 0 ; i != points.size() ; ++i )
- {
- std::vector<double> this_row;
- this_row.reserve( i );
- for ( size_t j = 0 ; j != i ; ++j )
- {
- double distance = f( points[i] , points[j] );
- if ( dbg ){std::cerr << "The distance between point : " << i << " and the point : " << j << " is :" << distance << std::endl;}
- this_row.push_back( distance );
- }
- result.push_back( this_row );
- }
- return result;
-}//compute_all_to_all_distance_matrix_between_points
-
-template <typename T>
-class identity
-{
-public:
- T& operator()( T& org )
- {
- return org;
- }
-};
-
-
-}//namespace Gudhi_stat
-}//namespace Gudhi
-
-#endif