/usr/include/CGAL/Weighted_Minkowski_distance.h is in libcgal-dev 4.11-2build1.
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// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
// 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.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL$
// $Id$
//
//
// Author(s) : Hans Tangelder (<hanst@cs.uu.nl>)
// Note: Use p=0 to denote the weighted Linf-distance
// For 0<p<1 Lp is not a metric
#ifndef CGAL_WEIGHTED_MINKOWSKI_DISTANCE_H
#define CGAL_WEIGHTED_MINKOWSKI_DISTANCE_H
#include <CGAL/license/Spatial_searching.h>
#include <cmath>
#include <vector>
#include <CGAL/array.h>
#include <CGAL/number_utils.h>
#include <CGAL/Kd_tree_rectangle.h>
#include <CGAL/internal/Get_dimension_tag.h>
namespace CGAL {
namespace internal {
template<class T, class Dim>
struct Array_or_vector_selector {
typedef std::vector<T> type;
static void resize(type&v, std::size_t d) { v.resize(d); }
};
template<class T, int D>
struct Array_or_vector_selector<T, Dimension_tag<D> > {
typedef cpp11::array<T,D> type;
static void resize(type&, std::size_t CGAL_assertion_code(d)) { CGAL_assertion(d==D); }
};
}
template <class SearchTraits>
class Weighted_Minkowski_distance {
SearchTraits traits;
public:
typedef typename SearchTraits::Point_d Point_d;
typedef Point_d Query_item;
typedef typename SearchTraits::FT FT;
typedef typename internal::Get_dimension_tag<SearchTraits>::Dimension Dimension;
typedef internal::Array_or_vector_selector<FT,Dimension> Weight_vector_traits;
typedef typename Weight_vector_traits::type Weight_vector;
private:
typedef typename SearchTraits::Cartesian_const_iterator_d Coord_iterator;
FT power;
Weight_vector the_weights;
public:
// default constructor
Weighted_Minkowski_distance(const SearchTraits& traits_=SearchTraits())
: traits(traits_),power(2)
{}
Weighted_Minkowski_distance(const int d,const SearchTraits& traits_=SearchTraits())
: traits(traits_),power(2), the_weights(d)
{
for (int i = 0; i < d; ++i) the_weights[i]=FT(1);
}
//default copy constructor and destructor
template <class InputIterator>
Weighted_Minkowski_distance (FT pow, int dim,
InputIterator begin,
InputIterator CGAL_assertion_code(end),
const SearchTraits& traits_=SearchTraits())
: traits(traits_),power(pow)
{
CGAL_assertion(power >= FT(0));
Weight_vector_traits::resize(the_weights, dim);
for (int i = 0; i < dim; ++i){
the_weights[i] = *begin;
++begin;
CGAL_assertion(the_weights[i]>=FT(0));
}
CGAL_assertion(begin == end);
}
inline FT transformed_distance(const Query_item& q, const Point_d& p) const {
return transformed_distance(q,p, Dimension());
}
//Dynamic version for runtime dimension
inline
FT
transformed_distance(const Query_item& q, const Point_d& p, Dynamic_dimension_tag) const
{
FT distance = FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q),
qe = construct_it(q,1),
pit = construct_it(p);
if (power == FT(0)) {
for (unsigned int i = 0; qit != qe; ++qit, ++i)
if (the_weights[i] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[i] * CGAL::abs((*qit)-(*pit));
}
else
for (unsigned int i = 0; qit != qe; ++qit, ++i)
distance +=
the_weights[i] * std::pow(CGAL::abs((*qit)-(*pit)),power);
return distance;
}
//Generic version for DIM > 3
template <int DIM>
inline FT
transformed_distance(const Query_item& q, const Point_d& p, Dimension_tag<DIM>) const
{
FT distance = FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q),
qe = construct_it(q,1),
pit = construct_it(p);
if (power == FT(0)) {
for (unsigned int i = 0; qit != qe; ++qit, ++i)
if (the_weights[i] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[i] * CGAL::abs((*qit)-(*pit));
}
else
for (unsigned int i = 0; qit != qe; ++qit, ++i)
distance +=
the_weights[i] * std::pow(CGAL::abs((*qit)-(*pit)),power);
return distance;
}
//DIM = 2 loop unrolled
inline FT
transformed_distance(const Query_item& q, const Point_d& p, Dimension_tag<2>) const
{
FT distance = FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q),
pit = construct_it(p);
if (power == FT(0)) {
if (the_weights[0] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[0] * CGAL::abs((*qit)-(*pit));
qit++;pit++;
if (the_weights[1] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[1] * CGAL::abs((*qit)-(*pit));
}
else{
distance +=
the_weights[0] * std::pow(CGAL::abs((*qit)-(*pit)),power);
qit++;pit++;
distance +=
the_weights[1] * std::pow(CGAL::abs((*qit)-(*pit)),power);
}
return distance;
}
//DIM = 3 loop unrolled
inline FT
transformed_distance(const Query_item& q, const Point_d& p, Dimension_tag<3>) const
{
FT distance = FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q),
pit = construct_it(p);
if (power == FT(0)) {
if (the_weights[0] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[0] * CGAL::abs((*qit)-(*pit));
qit++;pit++;
if (the_weights[1] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[1] * CGAL::abs((*qit)-(*pit));
qit++;pit++;
if (the_weights[2] * CGAL::abs((*qit) - (*pit)) > distance)
distance = the_weights[2] * CGAL::abs((*qit)-(*pit));
}
else{
distance +=
the_weights[0] * std::pow(CGAL::abs((*qit)-(*pit)),power);
qit++;pit++;
distance +=
the_weights[1] * std::pow(CGAL::abs((*qit)-(*pit)),power);
qit++;pit++;
distance +=
the_weights[2] * std::pow(CGAL::abs((*qit)-(*pit)),power);
}
return distance;
}
inline
FT
min_distance_to_rectangle(const Query_item& q,
const Kd_tree_rectangle<FT,Dimension>& r) const
{
FT distance = FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q), qe = construct_it(q,1);
if (power == FT(0))
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if (the_weights[i]*(r.min_coord(i) -
(*qit)) > distance)
distance = the_weights[i] * (r.min_coord(i)-
(*qit));
if (the_weights[i] * ((*qit) - r.max_coord(i)) >
distance)
distance = the_weights[i] *
((*qit)-r.max_coord(i));
}
}
else
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if ((*qit) < r.min_coord(i))
distance += the_weights[i] *
std::pow(r.min_coord(i)-(*qit),power);
if ((*qit) > r.max_coord(i))
distance += the_weights[i] *
std::pow((*qit)-r.max_coord(i),power);
}
};
return distance;
}
inline
FT
min_distance_to_rectangle(const Query_item& q,
const Kd_tree_rectangle<FT,Dimension>& r,std::vector<FT>& dists) const {
FT distance = FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q), qe = construct_it(q,1);
if (power == FT(0))
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if (the_weights[i]*(r.min_coord(i) -
(*qit)) > distance){
dists[i] = (r.min_coord(i)-
(*qit));
distance = the_weights[i] * dists[i];
}
if (the_weights[i] * ((*qit) - r.max_coord(i)) >
distance){
dists[i] =
((*qit)-r.max_coord(i));
distance = the_weights[i] * dists[i];
}
}
}
else
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if ((*qit) < r.min_coord(i)){
dists[i] = r.min_coord(i)-(*qit);
distance += the_weights[i] *
std::pow(dists[i],power);
}
if ((*qit) > r.max_coord(i)){
dists[i] = (*qit)-r.max_coord(i);
distance += the_weights[i] *
std::pow(dists[i],power);
}
}
};
return distance;
}
inline
FT
max_distance_to_rectangle(const Query_item& q,
const Kd_tree_rectangle<FT,Dimension>& r) const {
FT distance=FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q), qe = construct_it(q,1);
if (power == FT(0))
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if ((*qit) >= (r.min_coord(i) +
r.max_coord(i))/FT(2.0)) {
if (the_weights[i] * ((*qit) -
r.min_coord(i)) > distance)
distance = the_weights[i] *
((*qit)-r.min_coord(i));
else
if (the_weights[i] *
(r.max_coord(i) - (*qit)) > distance)
distance = the_weights[i] *
( r.max_coord(i)-(*qit));
}
}
}
else
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if ((*qit) <= (r.min_coord(i)+r.max_coord(i))/FT(2.0))
distance += the_weights[i] * std::pow(r.max_coord(i)-(*qit),power);
else
distance += the_weights[i] * std::pow((*qit)-r.min_coord(i),power);
}
};
return distance;
}
inline
FT
max_distance_to_rectangle(const Query_item& q,
const Kd_tree_rectangle<FT,Dimension>& r,std::vector<FT>& dists) const {
FT distance=FT(0);
typename SearchTraits::Construct_cartesian_const_iterator_d construct_it=
traits.construct_cartesian_const_iterator_d_object();
Coord_iterator qit = construct_it(q), qe = construct_it(q,1);
if (power == FT(0))
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if ((*qit) >= (r.min_coord(i) +
r.max_coord(i))/FT(2.0)) {
if (the_weights[i] * ((*qit) -
r.min_coord(i)) > distance){
dists[i] = (*qit)-r.min_coord(i);
distance = the_weights[i] *
(dists[i]);
}
else
if (the_weights[i] *
(r.max_coord(i) - (*qit)) > distance){
dists[i] = r.max_coord(i)-(*qit);
distance = the_weights[i] *
(dists[i]);
}
}
}
}
else
{
for (unsigned int i = 0; qit != qe; ++qit, ++i) {
if ((*qit) <= (r.min_coord(i)+r.max_coord(i))/FT(2.0)){
dists[i] = r.max_coord(i)-(*qit);
distance += the_weights[i] * std::pow(dists[i],power);
}
else{
dists[i] = (*qit)-r.min_coord(i);
distance += the_weights[i] * std::pow(dists[i],power);
}
}
};
return distance;
}
inline
FT
new_distance(FT dist, FT old_off, FT new_off,
int cutting_dimension) const
{
FT new_dist;
if (power == FT(0))
{
if (the_weights[cutting_dimension]*CGAL::abs(new_off)
> dist)
new_dist=
the_weights[cutting_dimension]*CGAL::abs(new_off);
else new_dist=dist;
}
else
{
new_dist = dist + the_weights[cutting_dimension] *
(std::pow(CGAL::abs(new_off),power)-std::pow(CGAL::abs(old_off),power));
}
return new_dist;
}
inline
FT
transformed_distance(FT d) const
{
if (power <= FT(0)) return d;
else return std::pow(d,power);
}
inline
FT
inverse_of_transformed_distance(FT d) const
{
if (power <= FT(0)) return d;
else return std::pow(d,1/power);
}
}; // class Weighted_Minkowski_distance
} // namespace CGAL
#endif // CGAL_WEIGHTED_MINKOWSKI_DISTANCE_H
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