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

CGAL 4.8 - Intersecting Sequences of dD Iso-oriented Boxes

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BoxIntersectionBox_d Concept Reference
Concepts

## Definition

The `BoxIntersectionBox_d` concept is used in the context of the intersection algorithms for sequences of iso-oriented boxes. These algorithms come with a default traits class that assumes that the boxes are a model of this `BoxIntersectionBox_d` concept. This concept defines the access functions to the dimension, the `id`-number, and the boundaries of the box.

Refines:
  `Assignable`

Has Models:

  CGAL::Box_intersection_d::Box_d

  CGAL::Box_intersection_d::Box_with_handle_d

See Also
  `CGAL::box_intersection_d()`
  `CGAL::box_self_intersection_d()`
  `CGAL::box_intersection_all_pairs_d()`
  `CGAL::box_self_intersection_all_pairs_d()`
  `CGAL::Box_intersection_d::Box_traits_d<BoxHandle>`
  `BoxIntersectionTraits_d`

## Types
typedef unspecified_type | NT
| number type to represent the box boundaries. More...
typedef unspecified_type | ID
| type for the box `id`-number, must be a model of the `LessThanComparable` concept.
static int | dimension ()
| returns the dimension of the box.

## Access Functions
ID | id () const
| returns the unique `id`-number for the `box`.
NT | min_coord (int d) const
| returns the lower boundary in dimension `d`, \( 0 \leq\)`d` \( < \)`dimension()`.
NT | max_coord (int d) const
| returns the upper boundary in dimension `d`, \( 0 \leq\)`d` \( < \)`dimension()`.

## Member Typedef Documentation

typedef unspecified_type BoxIntersectionBox_d::NT

number type to represent the box boundaries.

Allowed are the built-in types `int`, `unsigned int`, `float`, and `double`.