#include <CGAL/Box_intersection_d/Box_with_handle_d.h>

Definition

Box_with_handle_d is a generic iso-oriented bounding box in dimension \( D\) that stores additionally a handle to some underlying geometric object.

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.

Template Parameters

NT	number type for the box boundaries, needs to be a model of the `Assignable` and the `LessThanComparable` concept.
D	the dimension of the box.
Handle	Handle concept, e.g., a pointer, an iterator, or a circulator.
IdPolicy	specifies how the `id`-number will be provided and can be one of the following types, where `ID_FROM_HANDLE` is the default for this parameter: `ID_NONE`: no `id`-number is provided. This can be useful to have this class as a base class for different implementations 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 `CGAL::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 `CGAL::box_self_intersection_d()` algorithm creates copies of the boxes that would not have identical `id`-numbers. `ID_FROM_HANDLE`: casts the address of the value of the handle into a `std::ptrdiff_t` to create the `id`-number. Works in many conceivable settings, e.g., it works with boxes copied by value or by pointer, and the self intersection test. It will not work if there is no one-to-one mapping between boxes and the geometry that is referred to with the handles, i.e., this `id`-number scheme fails if a geometric object creates several boxes with the same handle value. Note that this option is not available for the `CGAL::Box_intersection_d::Box_d` type that does not store a handle.

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_traits_d<BoxHandle>; BoxIntersectionTraits_d

Examples:: Box_intersection_d/triangle_self_intersect.cpp, and Box_intersection_d/triangle_self_intersect_pointers.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_with_handle_d ()
	Default constructor. More...

	Box_with_handle_d (bool complete, Handle h)
	initializes to the complete or the empty space. More...

	Box_with_handle_d (NT lo[D], NT hi[D], Handle h)
	initializes the box intervals to [`lo[i]`,`hi[i]`], \( 0 \leq i < D\) and sets the handle to \( h\). More...

	Box_with_handle_d (const Bbox_2 &bbox, Handle h)
	constructs from bbox and sets the handle to \( h\), exists iff \( D=2\) and `NT` \( \equiv\)`double`.

	Box_with_handle_d (const Bbox_3 &bbox, Handle h)
	constructs from bbox and sets the handle to \( h\), exists iff \( D=3\) and `NT` \( \equiv\)`double`.

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`.

Access Functions
Handle	handle () const
	returns the handle stored in `box`.

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`, \( 0 \leq\)`d` \( < D\).

NT	max_coord (int d) const
	returns the upper boundary in dimension `d`, \( 0 \leq\)`d` \( < D\).

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

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

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