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## CGAL::Search_traits_2<Kernel>

### Definition

The class Search_traits_2<Kernel> can be used as a template parameter of the kd tree and the search classes.

#include <CGAL/Search_traits_2.h>

### Parameters

Expects for the template argument a model of the concept Kernel, for example CGAL::Cartesian<double> or CGAL::Simple_cartesian<CGAL::Gmp_q>.

### Is Model for the Concept

SearchTraits.

### Types

Kernel::FT | FT; | Number type.
Kernel::Point_2 | Point_d; | Point type.
Kernel::Iso_rectangle_2
| Iso_box_d; | Iso box type.
Kernel::Sphere_2 | Sphere_d; | Sphere type.
Kernel::Cartesian_const_iterator_2
| Cartesian_const_iterator_d;
|  | An iterator over the Cartesian coordinates.
Kernel::Construct_cartesian_const_iterator_2
| 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.
Kernel::Construct_iso_rectangle_2
| Construct_iso_box_d;
|  | Functor with operator to construct the iso box from two points.
Kernel::Construct_center_2
| Construct_center_d; | Functor with operator to construct the center of an object of type Sphere_d.
Kernel::Compute_squared_radius_2
| Construct_squared_radius_d;
|  | Functor with operator to compute the squared radius of a an object of type Sphere_d.
Kernel::Construct_min_vertex_2
| Construct_min_vertex_d;
|  | Functor with operator to construct the vertex with lexicographically smallest coordinates of an object of type Iso_box_d.
Kernel::Construct_max_vertex_2
| Construct_max_vertex_d;
|  | Functor with operator to construct the vertex with lexicographically largest coordinates of an object of type Iso_box_d.

### See Also

Search_traits_3<Kernel>
Search_traits<NT_,Point,CartesianConstIterator,ConstructCartesianConstIterator

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The CGAL Project . Tue, December 21, 2004 .