The U4DAABB class implements a mathematical representation of an Axis-Aligned Bounding Box. More...

Public Member Functions
	U4DAABB ()
	Constructor which creates a AABB with minimum 3D point location, maximum 3D point location and longest Dimension 3D vector set to zero.

	U4DAABB (U4DPoint3n &uMinPoint, U4DPoint3n &uMaxPoint)
	Constructor which creates a AABB with given minimum 3D point location and maximum 3D point location.

	U4DAABB (float uX, float uY, float uZ, U4DPoint3n &uCenter)
	Constructor which creates a AABB with given minimum 3D point halfwidth.

	U4DAABB (const U4DAABB &a)
	Copy constructor for the class. More...

U4DAABB &	operator= (const U4DAABB &a)
	Copy constructor for the class. More...

	~U4DAABB ()
	Destructor for the class.

void	setMinPoint (U4DPoint3n &uMinPoint)
	Method which sets the minimum 3D point location for the AABB. More...

void	setMaxPoint (U4DPoint3n &uMaxPoint)
	Method which sets the maximum 3D point location for the AABB. More...

U4DPoint3n	getMinPoint ()
	Method which returns the minimum 3D point of the AABB. More...

U4DPoint3n	getMaxPoint ()
	Method which returns the maximum 3D point of the AABB. More...

bool	intersectionWithVolume (U4DAABB *uAABB)
	Method which tests the intersection between two AABBs. More...

bool	intersectionWithVolume (U4DSphere &uSphere)
	Method which test an intersection between an AABB and a sphere. More...

bool	intersectionWithVolume (U4DSphere &uSphere, U4DPoint3n &uPoint)
	Method which test an intersection between an AABB and a sphere. More...

void	setLongestAABBDimensionVector (U4DVector3n &uLongestAABBDimensionVector)
	Method which sets the longest Dimension vector of the AABB. More...

U4DVector3n	getLongestAABBDimensionVector ()
	Method which returns the longest dimension vector of the AABB. More...

float	squareDistanceToPoint (U4DPoint3n &uPoint)
	Method which computes the square magnitude(distance) of a 3D point to the AABB. More...

bool	intersectionWithSegment (U4DSegment &uSegment)
	Compute if the AABB is intersecting with a segment. More...

U4DPoint3n	getCenter ()
	Gets the center point of the AABB. More...

bool	isPointInsideAABB (U4DPoint3n &uPoint)
	Computes if 3D point is within the AABB. More...

U4DVector3n	getHalfWidth ()
	Gets the halfwidth of the AABB. More...

bool	intersectionWithTriangle (U4DTriangle &uTriangle)
	determines intersection with triangle More...

bool	intersectionWithPlane (U4DPlane &uPlane)
	tests intersection with of AABB with plane More...

void	closestPointOnAABBToPoint (U4DPoint3n &uPoint, U4DPoint3n &uClosestPoint)
	Computes the closest point on the AABB to an specified point. More...

bool	aabbPlanePointLies (U4DPoint3n &uPoint, U4DPlane &uPlane)
	determines the aabb plane the point lies. Recall that the AABB contains 6 planes More...

Public Attributes
U4DPoint3n	minPoint
	Minimum 3D point location of the AABB.

U4DPoint3n	maxPoint
	Maximum 3D point location of the AABB.

Detailed Description

The U4DAABB class implements a mathematical representation of an Axis-Aligned Bounding Box.

Constructor & Destructor Documentation

◆ U4DAABB()

U4DEngine::U4DAABB::U4DAABB ( const U4DAABB & a )

Copy constructor for the class.

Parameters

a	AABB to copy to

Member Function Documentation

◆ aabbPlanePointLies()

bool U4DEngine::U4DAABB::aabbPlanePointLies	(	U4DPoint3n &	uPoint,
		U4DPlane &	uPlane
	)

determines the aabb plane the point lies. Recall that the AABB contains 6 planes

Parameters

uPoint	point to determine in which plane it lies
uPlane	plane where the given point lies

Returns: true if the point lies on any of the 6 planes of the aabb

◆ closestPointOnAABBToPoint()

void U4DEngine::U4DAABB::closestPointOnAABBToPoint	(	U4DPoint3n &	uPoint,
		U4DPoint3n &	uClosestPoint
	)

Computes the closest point on the AABB to an specified point.

Parameters

uPoint	Point provided by the user
uClosestPoint	Closest point to the provided point

◆ getCenter()

U4DPoint3n U4DEngine::U4DAABB::getCenter ( )

Gets the center point of the AABB.

Returns: center point

◆ getHalfWidth()

U4DVector3n U4DEngine::U4DAABB::getHalfWidth ( )

Gets the halfwidth of the AABB.

Returns: halfwidth vector

◆ getLongestAABBDimensionVector()

U4DVector3n U4DEngine::U4DAABB::getLongestAABBDimensionVector ( )

Method which returns the longest dimension vector of the AABB.

Returns: Returns the longest dimension vector of the AABB

◆ getMaxPoint()

U4DPoint3n U4DEngine::U4DAABB::getMaxPoint ( )

Method which returns the maximum 3D point of the AABB.

Returns: Returns the maximum 3D point of the AABB

◆ getMinPoint()

U4DPoint3n U4DEngine::U4DAABB::getMinPoint ( )

Method which returns the minimum 3D point of the AABB.

Returns: Returns the minimum 3D point of the AABB

◆ intersectionWithPlane()

bool U4DEngine::U4DAABB::intersectionWithPlane ( U4DPlane & uPlane )

tests intersection with of AABB with plane

Parameters

uPlane plane to test intersection

Returns: true if AABB intersects the plane

◆ intersectionWithSegment()

bool U4DEngine::U4DAABB::intersectionWithSegment ( U4DSegment & uSegment )

Compute if the AABB is intersecting with a segment.

Parameters

uSegment segment

Returns: true if intersection occurs

◆ intersectionWithTriangle()

bool U4DEngine::U4DAABB::intersectionWithTriangle ( U4DTriangle & uTriangle )

determines intersection with triangle

Parameters

uTriangle triangle to test intersection

Returns: true if the aabb intersects with the triangle

◆ intersectionWithVolume() [1/3]

bool U4DEngine::U4DAABB::intersectionWithVolume ( U4DAABB * uAABB )

Method which tests the intersection between two AABBs.

Parameters

uAABB AABB object to test intersection with

Returns: Returns true if two AABBs intersection occurred

◆ intersectionWithVolume() [2/3]

bool U4DEngine::U4DAABB::intersectionWithVolume ( U4DSphere & uSphere )

Method which test an intersection between an AABB and a sphere.

Parameters

uSphere Sphere object to test intersection with

Returns: Returns true if an intersection between an AABB and a sphere occurred

◆ intersectionWithVolume() [3/3]

bool U4DEngine::U4DAABB::intersectionWithVolume	(	U4DSphere &	uSphere,
		U4DPoint3n &	uPoint
	)

Method which test an intersection between an AABB and a sphere.

Parameters

uSphere	Sphere object to test intersection with
uPoint	point closest to intersection on AABB

Returns: Returns true if an intersection between an AABB and a sphere occurred

◆ isPointInsideAABB()

bool U4DEngine::U4DAABB::isPointInsideAABB ( U4DPoint3n & uPoint )

Computes if 3D point is within the AABB.

Parameters

uPoint 3D point

Returns: true if point lies within the AABB

◆ operator=()

U4DAABB & U4DEngine::U4DAABB::operator= ( const U4DAABB & a )

Copy constructor for the class.

Parameters

a	AABB to copy to

Returns: returns a copy of the AABB

◆ setLongestAABBDimensionVector()

void U4DEngine::U4DAABB::setLongestAABBDimensionVector ( U4DVector3n & uLongestAABBDimensionVector )

Method which sets the longest Dimension vector of the AABB.

Parameters

uLongestAABBDimensionVector Longest dimension vector of the AABB

◆ setMaxPoint()

void U4DEngine::U4DAABB::setMaxPoint ( U4DPoint3n & uMaxPoint )

Method which sets the maximum 3D point location for the AABB.

Parameters

uMaxPoint Maximum 3D point location

◆ setMinPoint()

void U4DEngine::U4DAABB::setMinPoint ( U4DPoint3n & uMinPoint )

Method which sets the minimum 3D point location for the AABB.

Parameters

uMinPoint Minimum 3D point location

◆ squareDistanceToPoint()

float U4DEngine::U4DAABB::squareDistanceToPoint ( U4DPoint3n & uPoint )

Method which computes the square magnitude(distance) of a 3D point to the AABB.

Parameters

uPoint 3D point to compute square magnitude

Returns: Returns the square magnitude of a 3D point to the AABB. That is, it does not compute the square root of the magnitude.

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ U4DAABB()

Member Function Documentation

◆ aabbPlanePointLies()

◆ closestPointOnAABBToPoint()

◆ getCenter()

◆ getHalfWidth()

◆ getLongestAABBDimensionVector()

◆ getMaxPoint()

◆ getMinPoint()

◆ intersectionWithPlane()

◆ intersectionWithSegment()

◆ intersectionWithTriangle()

◆ intersectionWithVolume() [1/3]

◆ intersectionWithVolume() [2/3]

◆ intersectionWithVolume() [3/3]

◆ isPointInsideAABB()

◆ operator=()

◆ setLongestAABBDimensionVector()

◆ setMaxPoint()

◆ setMinPoint()

◆ squareDistanceToPoint()