\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13 - Spatial Sorting
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SpatialSortingTraits_d Concept Reference
Spatial Sorting Reference » Concepts

Definition

All higher dimensional spatial sorting algorithms provided in CGAL are parameterized by a traits class Traits, which defines the primitives (objects and predicates) that the sorting algorithms use. SpatialSortingTraits_d defines the complete set of primitives required in these functions and functors.

Has Models:

Any CGAL d-dimensional kernel.

CGAL::Spatial_sort_traits_adapter_d<Base_traits,PointPropertyMap>

Types

typedef unspecified_type Point_d
 The point type on which the sorting algorithms operate.
 
typedef unspecified_type Point_dimension_d
 Functor object type returning the dimension of a Point_d. More...
 
typedef unspecified_type Compute_coordinate_d
 Functor object type returning the coordinates of a Point_d. More...
 
typedef unspecified_type Less_coordinate_d
 Binary predicate object type comparing Point_ds along some coordinate. More...
 

Creation

Only a copy constructor is required.

 SpatialSortingTraits_d (const SpatialSortingTraits_d &t)
 

Operations

The following member functions to create instances of the above predicate object types must exist.

Point_dimension_d point_dimension_d_object ()
 
Compute_coordinate_d compute_coordinate_d_object ()
 
Less_coordinate_d less_coordinate_d_object ()
 

Member Typedef Documentation

◆ Compute_coordinate_d

typedef unspecified_type SpatialSortingTraits_d::Compute_coordinate_d

Functor object type returning the coordinates of a Point_d.

Must provide FT operator()(Point_d p, int i) returning the \( i\)th coordinate of \( p\). FT is a type that can be used as argument of CGAL::to_double.

◆ Less_coordinate_d

typedef unspecified_type SpatialSortingTraits_d::Less_coordinate_d

Binary predicate object type comparing Point_ds along some coordinate.

Must provide bool operator()(Point_d p, Point_d q, int i) where true is returned iff \( p_i < q_i\), where \( p_i\) and \( q_i\) denote \( i\)th coordinate of point \( p\) and \( q\), respectively.

◆ Point_dimension_d

typedef unspecified_type SpatialSortingTraits_d::Point_dimension_d

Functor object type returning the dimension of a Point_d.

Must provide int operator()(Point_d p) returning the dimension of \( p\).