#include <CGAL/Box_intersection_d/Box_d.h>

Definition

Box_d is a generic iso-oriented bounding box in dimension \( D\).

It provides in each dimension an interval with lower and upper endpoints represented with the number type NT. This class is designed to work smoothly with the algorithms for intersecting sequences of iso-oriented boxes. For degeneracy handling, the boxes need to provide a unique id-number. The policy parameter IdPolicy offers several choices. The template parameters have to comply with the following requirements:

Template Parameters

NT	is the number type for the box boundaries. It must meet the requirements of the concepts `Assignable` and `LessThanComparable`.
D	is an integer and the dimension of the box.
IdPolicy	specifies how the `id`-number will be provided and can be one of the following types, where `ID_EXPLICIT` is the default for this parameter: `ID_NONE`: no `id`-number is provided. This can be useful if `Box_d` is used as a base class for a different implementation of `id`-numbers than the ones provided here. `ID_EXPLICIT`: the `id`-number is stored explicitly in the box and automatically created and assigned at construction time of the box. Note that copying a box (copy-constructor and assignment) does not create a new `id`-number but keeps the old one, which is the behavior needed by the `box_self_intersection_d()` algorithm. This is therefore the safe default implementation. `ID_FROM_BOX_ADDRESS`: casts the address of the box into a `std::ptrdiff_t` to create the `id`-number. This works fine if the intersection algorithms work effectively with pointers to boxes, but not in the case where the algorithms work with box values, because the algorithms modify the order of the boxes, and the `box_self_intersection_d()` algorithm creates copies of the boxes that would not have identical `id`-numbers.

Is Model Of:: BoxIntersectionBox_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_with_handle_d<NT, int D, Handle, IdPolicy>; CGAL::Box_intersection_d::Box_traits_d<BoxHandle>; BoxIntersectionTraits_d

Examples:: Box_intersection_d/box_grid.cpp, Box_intersection_d/minimal.cpp, Box_intersection_d/minimal_self.cpp, and Box_intersection_d/progress.cpp.

Types
typedef unspecified_type	NT
	number type to represent the box boundaries. More...

typedef std::size_t	ID
	type for the box `id`-number.

Creation
	Box_d ()
	Default constructor. More...

	Box_d (bool complete)
	Constructor initialized to the complete or the empty space. More...

	Box_d (NT lo[D], NT hi[D])
	initializes the box intervals to [`lo[i]`,`hi[i]`], \( 0 \leq i < D\). More...

	Box_d (const Bbox_2 &bbox)
	constructs from `bbox`. More...

	Box_d (const Bbox_3 &bbox)
	constructs from `bbox`. More...

Modifiers
void	init (bool complete=false)
	initializes to the complete or the empty space. More...

void	extend (NT point[D])
	extend `box` to contain the old `box` and `point`.

static int	dimension ()
	returns \( D\), the dimension of the box.

Access Functions
std::size_t	id ()
	returns a unique box id, see the `IdPolicy` template parameter above for the different choices. More...

NT	min_coord (int d) const
	returns the lower boundary in dimension `d` More...

NT	max_coord (int d) const
	returns the upper boundary in dimension `d` More...

const Bbox_2 &	bbox () const
	returns the bounding box Requirements: \( D=2\) and `NT` \( \equiv\)`double`

const Bbox_3 &	bbox () const
	returns the bounding box Requirements: \( D=3\) and `NT` \( \equiv\)`double`

void	extend (NT p[N])
	extends `box` to the smallest box that additionally contains the point represented by coordinates in `p`.

void	extend (std::pair< NT, NT > p[N])
	extends `box` to the smallest box that additionally contains the point represented by coordinate intervals in `p`.