\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - dD Spatial Searching

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CGAL::Search_traits_3< Kernel > Class Template Reference
Search Traits Classes

`#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

  Kernel | must be a model of the concept `Kernel`, 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 Kernel::FT | FT
| Number type.
typedef Kernel::Point_3 | Point_d
| Point type.
typedef Kernel::Iso_cuboid_3 | Iso_box_d
| Iso box type.
typedef Kernel::Sphere_3 | Sphere_d
| Sphere type.
typedef Kernel::Cartesian_const_iterator_3 | Cartesian_const_iterator_d
| An iterator over the Cartesian coordinates.
typedef Kernel::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 Kernel::Construct_iso_cuboid_3 | Construct_iso_box_d
| Functor with operator to construct the iso box from two points.
typedef Kernel::Construct_center_3 | Construct_center_d
| Functor with operator to construct the center of an object of type `Sphere_d`.
typedef Kernel::Compute_squared_radius_3 | Construct_squared_radius_d
| Functor with operator to compute the squared radius of a an object of type `Sphere_d`.
typedef Kernel::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 Kernel::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 Kernel >

typedef Kernel::Construct_cartesian_const_iterator_3 CGAL::Search_traits_3< Kernel >::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`.