\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
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CGAL::Search_traits_3< GeomTraits > Class Template Reference

#include <CGAL/Search_traits_3.h>

Definition

The class Search_traits_3 can be used as a template parameter of the kd tree and the search classes.

Template Parameters
GeomTraitsmust be a model of the concept SearchGeomTraits_3, for example Simple_cartesian<double> or Simple_cartesian<Gmpq>.
Is Model Of:

SearchTraits

RangeSearchTraits

See Also
Search_traits_2<Kernel>
Search_traits<NT,Point,CartesianConstIterator,ConstructCartesianConstIterator,Dim>
Examples:
Spatial_searching/searching_polyhedron_vertices.cpp, Spatial_searching/searching_surface_mesh_vertices.cpp, Spatial_searching/searching_with_point_with_info.cpp, Spatial_searching/searching_with_point_with_info_inplace.cpp, and Spatial_searching/searching_with_point_with_info_pmap.cpp.

Types

typedef Dimension_tag< 3 > Dimension
 Dimension type.
 
typedef GeomTraits::FT FT
 Number type.
 
typedef GeomTraits::Point_3 Point_d
 Point type.
 
typedef GeomTraits::Iso_cuboid_3 Iso_box_d
 Iso box type.
 
typedef GeomTraits::Sphere_3 Sphere_d
 Sphere type.
 
typedef
GeomTraits::Cartesian_const_iterator_3 
Cartesian_const_iterator_d
 An iterator over the Cartesian coordinates.
 
typedef
GeomTraits::Construct_cartesian_const_iterator_3 
Construct_cartesian_const_iterator_d
 A functor with two function operators, which return the begin and past the end iterator for the Cartesian coordinates. More...
 
typedef
GeomTraits::Construct_iso_cuboid_3 
Construct_iso_box_d
 Functor with operator to construct the iso box from two points.
 
typedef
GeomTraits::Construct_center_3 
Construct_center_d
 Functor with operator to construct the center of an object of type Sphere_d.
 
typedef
GeomTraits::Compute_squared_radius_3 
Compute_squared_radius_d
 Functor with operator to compute the squared radius of a an object of type Sphere_d.
 
typedef
GeomTraits::Construct_min_vertex_3 
Construct_min_vertex_d
 Functor with operator to construct the vertex with lexicographically smallest coordinates of an object of type Iso_box_d.
 
typedef
GeomTraits::Construct_max_vertex_3 
Construct_max_vertex_d
 Functor with operator to construct the vertex with lexicographically largest coordinates of an object of type Iso_box_d.
 

Member Typedef Documentation

template<typename GeomTraits >
typedef GeomTraits::Construct_cartesian_const_iterator_3 CGAL::Search_traits_3< GeomTraits >::Construct_cartesian_const_iterator_d

A functor with two function operators, which return the begin and past the end iterator for the Cartesian coordinates.

The functor for begin has as argument a Point_d. The functor for the past the end iterator, has as argument a Point_d and an int.