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

CGAL 4.8 - dD Spatial Searching

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CGAL::Fuzzy_iso_box< Traits > Class Template Reference
Range Query Item Classes

`#include <CGAL/Fuzzy_iso_box.h>`

## Definition

The class `Fuzzy_iso_box` implements fuzzy `d`-dimensional iso boxes.

A fuzzy iso box with fuzziness value \( \epsilon\) has as outer approximation a box dilated, and as inner approximation a box eroded by a `d`-dim square with side length \( \epsilon\).

Template Parameters

  Traits | must be a model of the concept `SearchTraits`, for example `CGAL::Search_traits_2<CGAL::Simple_cartesian<double> >`.

Is Model Of:
  `FuzzyQueryItem`

See Also
  `FuzzyQueryItem`

Examples:
  Spatial_searching/fuzzy_range_query.cpp, and Spatial_searching/iso_rectangle_2_query.cpp.

## Types
typedef unspecified_type | D
| Dimension Tag.
typedef Traits::Point_d | Point_d
| Point type.
typedef Traits::FT | FT
| Number type.

## Creation
| Fuzzy_iso_box (Point_d p, Point_d q, FT epsilon=FT(0), Traits t=Traits())
| Constructs a fuzzy iso box specified by the minimal iso box containing `p` and `q` and fuzziness value `epsilon`. More...
| Fuzzy_iso_box (Traits::Base::Point_d p, Traits::Base::Point_d q, FT epsilon=FT(0), Traits t=Traits())
| Constructs a fuzzy iso box specified by the minimal iso box containing `p` and `q` and fuzziness value `epsilon`. More...

## Operations
bool | contains (Point_d p) const
| test whether the fuzzy iso box contains `p`.
bool | inner_range_intersects (const Kd_tree_rectangle< FT, D > &rectangle) const
| test whether the inner box intersects the rectangle associated with a node of a tree.
bool | outer_range_contains (const Kd_tree_rectangle< FT, D > &rectangle) const
| test whether the outer box encloses the rectangle associated with a node of a tree.

## Constructor & Destructor Documentation

template<typename Traits >

CGAL::Fuzzy_iso_box< Traits >::Fuzzy_iso_box | ( | Point_d | p,
|  | Point_d | q,
|  | FT | epsilon = `FT(0)`,
|  | Traits | t = `Traits()`
| ) |  |

Constructs a fuzzy iso box specified by the minimal iso box containing `p` and `q` and fuzziness value `epsilon`.

Precondition
  `p` must be lexicographically smaller than `q`.

template<typename Traits >

CGAL::Fuzzy_iso_box< Traits >::Fuzzy_iso_box | ( | Traits::Base::Point_d | p,
|  | Traits::Base::Point_d | q,
|  | FT | epsilon = `FT(0)`,
|  | Traits | t = `Traits()`
| ) |  |

Constructs a fuzzy iso box specified by the minimal iso box containing `p` and `q` and fuzziness value `epsilon`.

Attention
  Only available in case `Traits` is `Search_traits_adapter<Key,PointPropertyMap,BaseTraits>`.

Precondition
  `p` must be lexicographically smaller than `q`.