A class that represents a range of values in 3D space. More...

#include <omAABB3D.h>

Public Member Functions
	AABB3D ()
	Create a 3D axis-aligned bounding box with no extent centered about the origin. More...

	AABB3D (T newMin, T newMax)
	Create a 3D axis-aligned bounding box with the specified minimum and maximum coodinates for all axes. More...

	AABB3D (T newXMin, T newXMax, T newYMin, T newYMax, T newZMin, T newZMax)
	Create a 3D axis-aligned bounding box with the specified minimum and maximum coodinates. More...

	AABB3D (const VectorND< T, 3 > &center)
	Create a 3D axis-aligned bounding box with the minimum and maximum coordinates equal to the specified vector. More...

	AABB3D (const VectorND< T, 3 > &newMin, const VectorND< T, 3 > &newMax)
	Create a 3D axis-aligned bounding box with the specified minimum and maximum coodinates. More...

	AABB3D (const VectorND< T, 3 > *points, Size numPoints)
	Create a 3D axis-aligned bounding box for the specified array of points. More...

	AABB3D (const AABB2D< T > &bounds2D)
	Create a 3D axis-aligned bounding box from the specified 2D bounding box, setting the Z bounds to [0,0]. More...

	AABB3D (const AABB2D< T > &bounds2D, const AABB1D< T > &boundsZ)
	Create a 3D axis-aligned bounding box from the specified 2D bounding box and Z coordinate bounding box. More...

template<typename U >
	operator AABB3D< U > () const
	Cast this bounding box to a bounding box with a different underlying primitive type. More...

Bool	contains (const AABB3D &bounds) const
	Return whether or not this bounding box completely contains another. More...

Bool	contains (const VectorND< T, 3 > &coordinate) const
	Return whether or not this bounding box contains the specified coordinate. More...

Bool	intersects (const AABB3D &bounds) const
	Return whether or not this bounding box intersects another. More...

void	set (T newXMin, T newXMax, T newYMin, T newYMax, T newZMin, T newZMax)
	Set the minimum and maximum coordinates of the axis-aligned bounding box. More...

T	getWidth () const
	Get the difference between the maximum and minimum X coordinates. More...

T	getHeight () const
	Get the difference between the maximum and minimum Y coordinates. More...

T	getDepth () const
	Get the difference between the maximum and minimum Z coordinates. More...

VectorND< T, 3 >	getSize () const
	Return a vector indicating the axial distances between the minimum and maximum coordinate. More...

VectorND< T, 3 >	getDiagonal () const
	Return the vector from the minimum coordinate to the maximum. More...

T	getRadius () const
	Return the distance from the center to the farthest corner of the box. More...

VectorND< T, 3 >	getCenter () const
	Return the center of the bounding box. More...

T	getVolume () const
	Return the volume in cubic units enclosed by this 3D range. More...

const VectorND< T, 3 > &	getMinMax (Index i) const
	Return either the minimal or maximal vertex of this AABB. More...

AABB1D< T >	getX () const
	Return a 1D AABB for the X coordinate range of this AABB. More...

AABB1D< T >	getY () const
	Return a 1D AABB for the Y coordinate range of this AABB. More...

AABB1D< T >	getZ () const
	Return a 1D AABB for the Z coordinate range of this AABB. More...

AABB2D< T >	getXY () const
	Return a 2D AABB for the X and Y coordinate ranges of this AABB. More...

AABB2D< T >	getYZ () const
	Return a 2D AABB for the X and Y coordinate ranges of this AABB. More...

AABB2D< T >	getXZ () const
	Return a 2D AABB for the X and Z coordinate ranges of this AABB. More...

void	enlargeFor (const VectorND< T, 3 > &point)
	Modify the current bounding box such that it encloses the specified point. More...

void	enlargeFor (const AABB3D &bounds)
	Modify the current bounding box such that it encloses the specified box. More...

AABB3D< T > &	operator\|= (const VectorND< T, 3 > &point)
	Modify the current bounding box such that it encloses the specified point. More...

AABB3D< T >	operator\| (const VectorND< T, 3 > &point) const
	Return the bounding box necessary to enclose a point and the current bounding box. More...

AABB3D< T >	getUnion (const AABB3D< T > &bounds) const
	Return the union of this bounding box and another. More...

AABB3D< T > &	operator\|= (const AABB3D< T > &bounds)
	Modify this bounding box such that it contains the specified bounding box. More...

AABB3D< T >	operator\| (const AABB3D< T > &bounds) const
	Return the union of this bounding box and another. More...

AABB3D< T >	getIntersection (const AABB3D< T > &bounds) const
	Return the intersection of this bounding box and another. More...

AABB3D< T > &	operator&= (const AABB3D< T > &bounds)
	Return the intersection of this bounding box and another. More...

AABB3D< T >	operator& (const AABB3D< T > &bounds) const
	Return the intersection of this bounding box and another. More...

Bool	operator== (const AABB3D< T > &other) const
	Return whether or not this bounding box is exactly the same as another. More...

Bool	operator!= (const AABB3D< T > &other) const
	Return whether or not this bounding box is different than another. More...

AABB3D< T >	operator* (T scale) const
	Multiply the minimum and maximum coordinates of this bounding box by the specified scale factor. More...

AABB3D< T >	operator* (const VectorND< T, 3 > &scale) const
	Multiply the minimum and maximum coordinates of this bounding box by the specified 3D scale factor. More...

AABB3D< T >	operator/ (T scale) const
	Divide the minimum and maximum coordinates of this bounding box by the specified scale factor. More...

AABB3D< T >	operator/ (const VectorND< T, 3 > &scale) const
	Divide the minimum and maximum coordinates of this bounding box by the specified 3D scale factor. More...

data::String	toString () const
	Convert this 2D range into a human-readable string representation. More...

	operator data::String () const
	Convert this 2D range into a human-readable string representation. More...

Public Attributes
VectorND< T, 3 >	min
	The minumum coordinate of the bounding box. More...

VectorND< T, 3 >	max
	The maximum coordinate of the bounding box. More...

Detailed Description

template<typename T>
class om::math::AABB3D< T >

A class that represents a range of values in 3D space.

This class contains two data members: min and max. These indicate the minimum and maximum coordinates that this axis-aligned bounding box represents. The class invariant is that min is less than max (on at least one dimension), though this is not enforced. The class supports union, containment, and intersection operations.

Constructor & Destructor Documentation

template<typename T>

om::math::AABB3D< T >::AABB3D ( )

inline

Create a 3D axis-aligned bounding box with no extent centered about the origin.

template<typename T>

om::math::AABB3D< T >::AABB3D	(	T	newMin,
		T	newMax
	)

inline

Create a 3D axis-aligned bounding box with the specified minimum and maximum coodinates for all axes.

template<typename T>

om::math::AABB3D< T >::AABB3D	(	T	newXMin,
		T	newXMax,
		T	newYMin,
		T	newYMax,
		T	newZMin,
		T	newZMax
	)

inline

Create a 3D axis-aligned bounding box with the specified minimum and maximum coodinates.

template<typename T>

om::math::AABB3D< T >::AABB3D ( const VectorND< T, 3 > & center )

inline

Create a 3D axis-aligned bounding box with the minimum and maximum coordinates equal to the specified vector.

template<typename T>

om::math::AABB3D< T >::AABB3D	(	const VectorND< T, 3 > &	newMin,
		const VectorND< T, 3 > &	newMax
	)

inline

Create a 3D axis-aligned bounding box with the specified minimum and maximum coodinates.

template<typename T>

om::math::AABB3D< T >::AABB3D	(	const VectorND< T, 3 > *	points,
		Size	numPoints
	)

inline

Create a 3D axis-aligned bounding box for the specified array of points.

template<typename T>

om::math::AABB3D< T >::AABB3D ( const AABB2D< T > & bounds2D )

inlineexplicit

Create a 3D axis-aligned bounding box from the specified 2D bounding box, setting the Z bounds to [0,0].

template<typename T>

om::math::AABB3D< T >::AABB3D	(	const AABB2D< T > &	bounds2D,
		const AABB1D< T > &	boundsZ
	)

inlineexplicit

Create a 3D axis-aligned bounding box from the specified 2D bounding box and Z coordinate bounding box.

Member Function Documentation

template<typename T>

template<typename U >

om::math::AABB3D< T >::operator AABB3D< U > ( ) const

inline

Cast this bounding box to a bounding box with a different underlying primitive type.

template<typename T>

Bool om::math::AABB3D< T >::contains ( const AABB3D< T > & bounds ) const

inline

Return whether or not this bounding box completely contains another.

template<typename T>

Bool om::math::AABB3D< T >::contains ( const VectorND< T, 3 > & coordinate ) const

inline

Return whether or not this bounding box contains the specified coordinate.

template<typename T>

Bool om::math::AABB3D< T >::intersects ( const AABB3D< T > & bounds ) const

inline

Return whether or not this bounding box intersects another.

template<typename T>

void om::math::AABB3D< T >::set	(	T	newXMin,
		T	newXMax,
		T	newYMin,
		T	newYMax,
		T	newZMin,
		T	newZMax
	)

inline

Set the minimum and maximum coordinates of the axis-aligned bounding box.

template<typename T>

T om::math::AABB3D< T >::getWidth ( ) const

inline

Get the difference between the maximum and minimum X coordinates.

template<typename T>

T om::math::AABB3D< T >::getHeight ( ) const

inline

Get the difference between the maximum and minimum Y coordinates.

template<typename T>

T om::math::AABB3D< T >::getDepth ( ) const

inline

Get the difference between the maximum and minimum Z coordinates.

template<typename T>

VectorND<T,3> om::math::AABB3D< T >::getSize ( ) const

inline

Return a vector indicating the axial distances between the minimum and maximum coordinate.

template<typename T>

VectorND<T,3> om::math::AABB3D< T >::getDiagonal ( ) const

inline

Return the vector from the minimum coordinate to the maximum.

template<typename T>

T om::math::AABB3D< T >::getRadius ( ) const

inline

Return the distance from the center to the farthest corner of the box.

template<typename T>

VectorND<T,3> om::math::AABB3D< T >::getCenter ( ) const

inline

Return the center of the bounding box.

template<typename T>

T om::math::AABB3D< T >::getVolume ( ) const

inline

Return the volume in cubic units enclosed by this 3D range.

template<typename T>

const VectorND<T,3>& om::math::AABB3D< T >::getMinMax ( Index i ) const

inline

Return either the minimal or maximal vertex of this AABB.

If the index parameter is 0, the minimal vertex is returned, if the index parameter is 1, the maximal vertex is returned. Otherwise the result is undefined.

template<typename T>

AABB1D<T> om::math::AABB3D< T >::getX ( ) const

inline

Return a 1D AABB for the X coordinate range of this AABB.

template<typename T>

AABB1D<T> om::math::AABB3D< T >::getY ( ) const

inline

Return a 1D AABB for the Y coordinate range of this AABB.

template<typename T>

AABB1D<T> om::math::AABB3D< T >::getZ ( ) const

inline

Return a 1D AABB for the Z coordinate range of this AABB.

template<typename T>

AABB2D<T> om::math::AABB3D< T >::getXY ( ) const

inline

Return a 2D AABB for the X and Y coordinate ranges of this AABB.

template<typename T>

AABB2D<T> om::math::AABB3D< T >::getYZ ( ) const

inline

Return a 2D AABB for the X and Y coordinate ranges of this AABB.

template<typename T>

AABB2D<T> om::math::AABB3D< T >::getXZ ( ) const

inline

Return a 2D AABB for the X and Z coordinate ranges of this AABB.

template<typename T>

void om::math::AABB3D< T >::enlargeFor ( const VectorND< T, 3 > & point )

inline

Modify the current bounding box such that it encloses the specified point.

template<typename T>

void om::math::AABB3D< T >::enlargeFor ( const AABB3D< T > & bounds )

inline

Modify the current bounding box such that it encloses the specified box.

template<typename T>

AABB3D<T>& om::math::AABB3D< T >::operator|= ( const VectorND< T, 3 > & point )

inline

Modify the current bounding box such that it encloses the specified point.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator| ( const VectorND< T, 3 > & point ) const

inline

Return the bounding box necessary to enclose a point and the current bounding box.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::getUnion ( const AABB3D< T > & bounds ) const

inline

Return the union of this bounding box and another.

template<typename T>

AABB3D<T>& om::math::AABB3D< T >::operator|= ( const AABB3D< T > & bounds )

inline

Modify this bounding box such that it contains the specified bounding box.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator| ( const AABB3D< T > & bounds ) const

inline

Return the union of this bounding box and another.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::getIntersection ( const AABB3D< T > & bounds ) const

inline

Return the intersection of this bounding box and another.

template<typename T>

AABB3D<T>& om::math::AABB3D< T >::operator&= ( const AABB3D< T > & bounds )

inline

Return the intersection of this bounding box and another.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator& ( const AABB3D< T > & bounds ) const

inline

Return the intersection of this bounding box and another.

template<typename T>

Bool om::math::AABB3D< T >::operator== ( const AABB3D< T > & other ) const

inline

Return whether or not this bounding box is exactly the same as another.

template<typename T>

Bool om::math::AABB3D< T >::operator!= ( const AABB3D< T > & other ) const

inline

Return whether or not this bounding box is different than another.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator* ( T scale ) const

inline

Multiply the minimum and maximum coordinates of this bounding box by the specified scale factor.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator* ( const VectorND< T, 3 > & scale ) const

inline

Multiply the minimum and maximum coordinates of this bounding box by the specified 3D scale factor.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator/ ( T scale ) const

inline

Divide the minimum and maximum coordinates of this bounding box by the specified scale factor.

template<typename T>

AABB3D<T> om::math::AABB3D< T >::operator/ ( const VectorND< T, 3 > & scale ) const

inline

Divide the minimum and maximum coordinates of this bounding box by the specified 3D scale factor.

template<typename T>

data::String om::math::AABB3D< T >::toString ( ) const

inline

Convert this 2D range into a human-readable string representation.

template<typename T>

om::math::AABB3D< T >::operator data::String ( ) const

inline

Convert this 2D range into a human-readable string representation.

Member Data Documentation

template<typename T>

VectorND<T,3> om::math::AABB3D< T >::min

The minumum coordinate of the bounding box.

template<typename T>

VectorND<T,3> om::math::AABB3D< T >::max

The maximum coordinate of the bounding box.

The documentation for this class was generated from the following file:

omAABB3D.h

Public Member Functions

Public Attributes

Detailed Description

template<typename T> class om::math::AABB3D< T >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename T>
class om::math::AABB3D< T >