\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.2 - dD Spatial Searching
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CGAL::Manhattan_distance_iso_box_point< Traits > Class Template Reference
dD Spatial Searching Reference » Distance Classes

#include <CGAL/Manhattan_distance_iso_box_point.h>

Definition

The class Manhattan_distance_iso_box_point provides an implementation of the GeneralDistance concept for the Manhattan distance ( \( l_1\) metric) between a d-dimensional iso-box and a d-dimensional point and the Manhattan distance between a d-dimensional iso-box and a d-dimensional iso-box defined as a k-d tree rectangle.

Template Parameters
Traitsmust be a model for the concept SearchTraits, for example Search_traits_3<Simple_cartesian<double> >.
Is Model Of:
GeneralDistance
See also
GeneralDistance
Examples:
Spatial_searching/general_neighbor_searching.cpp.

Types

typedef unspecified_type D
 Dimension Tag.
 
typedef Traits::FT FT
 Number type.
 
typedef Traits::Point_d Point_d
 Point type.
 
typedef Traits::Iso_box_d Query_item
 Query item type.
 

Creation

 Manhattan_distance_iso_box_point (Traits t=Traits())
 Default constructor.
 

Operations

FT transformed_distance (Query_item b, Point_d p) const
 Returns the transformed distance between b and p.
 
FT transformed_distance (FT d) const
 Returns the transformed value of of d.
 
FT inverse_of_transformed_distance (FT d) const
 Returns the value of the inverse of the transform function applied to d.
 
FT min_distance_to_rectangle (Query_item b, Kd_tree_rectangle< FT, D > r) const
 Returns the minimal distance between a point from b and a point from r.
 
FT max_distance_to_rectangle (Query_item b, Kd_tree_rectangle< FT, D > r) const
 Returns the maximal distance between the iso-box b and a point from r furthest to b.