CGAL 6.1.1 - dD Spatial Searching

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CGAL::Search_traits_3< GeomTraits > Class Template Reference
Reference Manual » Search Traits Classes

`#include <CGAL/Search_traits_3.h>`

## Definition

template<typename GeomTraits>
class CGAL::Search_traits_3< GeomTraits >

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

Template Parameters

  GeomTraits | must 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/parallel_kdtree.cpp, Spatial_searching/searching_polyhedron_vertices.cpp, Spatial_searching/searching_surface_mesh_vertices.cpp, Spatial_searching/searching_triangulation_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.
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

## ◆ Construct_cartesian_const_iterator_d

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`.