#include <CGAL/Bbox_3.h>

Definition

An object b of the class Bbox_3 is a bounding box in the three-dimensional Euclidean space \( \E^3\).

Is Model Of:: Hashable

See also: CGAL::Bbox_2

Related Functions
(Note that these are not member functions.)
template<class InputIterator >
Bbox_3	bbox_3 (InputIterator begin, InputIterator past_end)
	returns the bounding box of the objects in the range `[first,past_end[`.

template<class InputIterator , class Traits >
Bbox_3	bbox_3 (InputIterator begin, InputIterator past_end, const Traits &traits)
	returns the bounding box of the objects in the range `[first,past_end[`.

Creation
	Bbox_3 ()
	introduces an empty bounding box with lower left corner point at \( (\infty, \infty, \infty) \) and with upper right corner point at \( (-\infty, -\infty, -\infty) \), \( \infty \) being `std::numeric_limits<double>::infinity()`.

	Bbox_3 (double x_min, double y_min, double z_min, double x_max, double y_max, double z_max)
	introduces a bounding box `b` with lexicographically smallest corner point at `(xmin, ymin, zmin)` and lexicographically largest corner point at `(xmax, ymax, zmax)`.

Operations
bool	operator== (const Bbox_3 &c) const
	Test for equality.

bool	operator!= (const Bbox_3 &q) const
	Test for inequality.

int	dimension () const
	Returns 3.

double	xmin () const

double	ymin () const

double	zmin () const

double	xmax () const

double	ymax () const

double	zmax () const

double	min (int i) const
	Returns `xmin()` if `i==0` or `ymin()` if `i==1` or `zmin()` if `i==2`.

double	max (int i) const
	Returns `xmax()` if `i==0` or `ymax()` if `i==1` or `zmax()` if `i==2`.

Bbox_3	operator+ (const Bbox_3 &c) const
	returns a bounding box of `b` and `c`.

Bbox_3 &	operator+= (const Bbox_3 &c)
	updates `b` to be the bounding box of `b` and `c` and returns itself.

void	dilate (int dist)
	dilates the bounding box by a specified number of ULP.

bool	do_overlap (const Bbox_3 &bb1, const Bbox_3 &bb2)
	returns `true` iff `bb1` and `bb2` overlap, i.e., iff their intersection is non-empty.

Member Function Documentation

◆ max()

double CGAL::Bbox_3::max ( int i ) const

Returns xmax() if i==0 or ymax() if i==1 or zmax() if i==2.

Precondition: i>=0 and i<=2

◆ min()

double CGAL::Bbox_3::min ( int i ) const

Returns xmin() if i==0 or ymin() if i==1 or zmin() if i==2.

Precondition: i>=0 and i<=2

Friends And Related Function Documentation

◆ bbox_3() [1/2]

template<class InputIterator >

Bbox_3 bbox_3	(	InputIterator	begin,
		InputIterator	past_end
	)

Each object in the range must have a member function BBox_3 bbox() returning its bounding box.

◆ bbox_3() [2/2]

template<class InputIterator , class Traits >

Bbox_3 bbox_3	(	InputIterator	begin,
		InputIterator	past_end,
		const Traits &	traits
	)

Traits must provide a functor Traits::Construct_bbox_3 having an operator returning the bounding box of each object in the range. Traits must also have a member function Traits::Construct_bbox_3 construct_bbox_3_object() const.