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

CGAL 4.8 - dD Spatial Searching

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RangeSearchTraits Concept Reference
Concepts

## Definition

The concept `RangeSearchTraits` defines the requirements for the template parameter of the search classes. This concept also defines requirements to range search queries in a model of `SpatialTree`.

Refines:
  `SearchTraits`

Has Models:

  `CGAL::Cartesian_d<FT>`

  `CGAL::Homogeneous_d<RT>`

  `CGAL::Search_traits_2<Kernel>`

  `CGAL::Search_traits_3<Kernel>`

See Also
  `SearchTraits`
  `CGAL::Search_traits_adapter<Key,PointPropertyMap,BaseTraits>`

## Types
typedef unspecified_type | Iso_box_d
| Iso box type, which is only needed for range search queries.
typedef unspecified_type | Sphere_d
| Sphere type, which is only needed for range search queries.
typedef unspecified_type | Construct_iso_box_d
| Functor with operator to construct the iso box from two points.
typedef unspecified_type | Construct_center_d
| Functor with operator to construct the center of an object of type `Sphere_d`.
typedef unspecified_type | Construct_squared_radius_d
| Functor with operator to compute the squared radius of a an object of type `Sphere_d`.
typedef unspecified_type | Construct_min_vertex_d
| Functor with operator to construct the vertex with lexicographically smallest coordinates of an object of type `Iso_box_d`.
typedef unspecified_type | Construct_max_vertex_d
| Functor with operator to construct the vertex with lexicographically largest coordinates of an object of type `Iso_box_d`.