Provides a few math tools from MathTools namespace that user can use. A few tools include getting scale and translation from a. More...

Collaboration diagram for Math Tools:

Functions
bool	MathTools::Intersect (const CollisionVolumeBSphere &BSphere_1, const CollisionVolumeBSphere &BSphere_2)
	Test intersection between two BSpheres. More...

bool	MathTools::Intersect (const CollisionVolumeBSphere &BSphere, const CollisionVolumeAABB &AABB)
	Test intersection between BSphere and AABB. More...

bool	MathTools::Intersect (const CollisionVolumeBSphere &BSphere, const CollisionVolumeOBB &OBB)
	Test intersection between BSphere and OBB. More...

bool	MathTools::Intersect (const CollisionVolumeBSphere &BSphere, const CollisionVolumeOctree &Octree)
	Test intersection between BSphere and Octree. More...

bool	MathTools::Intersect (const CollisionVolumeAABB &AABB_1, const CollisionVolumeAABB &AABB_2)
	Test intersection between two AABBs. More...

bool	MathTools::Intersect (const CollisionVolumeAABB &AABB, const CollisionVolumeOBB &OBB)
	Test intersection between AABB and OBB. More...

bool	MathTools::Intersect (const CollisionVolumeAABB &AABB, const CollisionVolumeOctree &Octree)
	Test intersection between AABB and Octree. More...

bool	MathTools::Intersect (const CollisionVolumeOBB &OBB_1, const CollisionVolumeOBB &OBB_2)
	Test intersection between two OBBs. More...

bool	MathTools::Intersect (const CollisionVolumeOBB &OBB, const CollisionVolumeOctree &Octree)
	Test intersection between an OBB and an Octree. More...

bool	MathTools::Intersect (const CollisionVolumeOctree &Octree_1, const CollisionVolumeOctree &Octree_2)
	Test intersection between two Octrees. More...

bool	MathTools::Intersect (const CollisionVolumeAABB &AABB, const Vect &point)
	Test intersection between an AABB and a point. More...

bool	MathTools::Intersect (const CollisionVolumeOBB &OBB, const Vect &point)
	Test intersection between an OBB and a point. More...

bool	MathTools::Intersect (const CollisionVolumeOBB &OBB, const Triangle &triangle)
	Test intersection between an OBB and a Triangle. More...

Matrix	MathTools::ExtractScaleMatrix (const Matrix &worldMatrix)
	Extracts scale matrix. More...

Vect	MathTools::ExtractScaleXYZ (const Matrix &worldMatrix)
	Extracts XYZ scale of a world matrix. More...

float	MathTools::ExtractScaleX (const Matrix &worldMatrix)
	Extracts X-scale from world matrix. More...

float	MathTools::ExtractScaleY (const Matrix &worldMatrix)
	Extracts Y scale from the world matrix. More...

float	MathTools::ExtractScaleZ (const Matrix &worldMatrix)
	Extracts Z scale from world matrix. More...

Matrix	MathTools::ExtractTranslationMatrix (const Matrix &worldMatrix)
	Extracts translation matrix from world matrix. More...

Vect	MathTools::ExtractTranslationXYZ (const Matrix &worldMatrix)
	Extract translation vector from world matrix. More...

Matrix	MathTools::RotationFromTowards (const Vect &current, const Vect &target)
	Computes rotation matrix to rotate vector from current to target. More...

Vect	MathTools::MultiplyComponents (const Vect &vect_1, const Vect &vect_2)
	Multiplies two vectors by each component (x1 * x2, y1 * y2, z1 * z2). More...

Vect	MathTools::Min (const Vect &vect_1, const Vect &vect_2)
	Constructs Vect using the mininum values of two Vects. More...

Vect	MathTools::Max (const Vect &vect_1, const Vect &vect_2)
	Constructs Vect using the maximum values of two Vects. More...

float	MathTools::power (float base, int exponent)
	raises base to the power of integers. More...

bool	MathTools::IsInRange (const Vect &vect, const Vect &vect_1, const Vect &vect_2)
	Determines if a Vect is in between two Vect values More...

bool	MathTools::IsLessThan (const Vect &vect_1, const Vect &vect_2)
	Determines if a Vect is less than another Vect. More...

bool	MathTools::IsGreaterThan (const Vect &vect_1, const Vect &vect_2)
	Determines if a Vect is greater than another Vect. More...

bool	MathTools::DoIntervalsOverlap (const Interval &interval_1, const Interval &interval_2)
	Determines if two intervals overlap More...

Detailed Description

Provides a few math tools from MathTools namespace that user can use. A few tools include getting scale and translation from a.

Function Documentation

◆ DoIntervalsOverlap()

bool MathTools::DoIntervalsOverlap	(	const Interval &	interval_1,
		const Interval &	interval_2
	)

Determines if two intervals overlap

Uses MathTools::Interval struct testing intervals

Parameters

interval_1	An interval.
interval_2	An interval.

Returns: True if intervals overlap, otherwise false.

◆ ExtractScaleMatrix()

Matrix MathTools::ExtractScaleMatrix ( const Matrix & worldMatrix )

Extracts scale matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The scale matrix.

◆ ExtractScaleX()

float MathTools::ExtractScaleX ( const Matrix & worldMatrix )

Extracts X-scale from world matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The X scale.

◆ ExtractScaleXYZ()

Vect MathTools::ExtractScaleXYZ ( const Matrix & worldMatrix )

Extracts XYZ scale of a world matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The XYZ scale in a Vector.

◆ ExtractScaleY()

float MathTools::ExtractScaleY ( const Matrix & worldMatrix )

Extracts Y scale from the world matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The Y scale.

◆ ExtractScaleZ()

float MathTools::ExtractScaleZ ( const Matrix & worldMatrix )

Extracts Z scale from world matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The Z scale.

◆ ExtractTranslationMatrix()

Matrix MathTools::ExtractTranslationMatrix ( const Matrix & worldMatrix )

Extracts translation matrix from world matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The translation matrix.

◆ ExtractTranslationXYZ()

Vect MathTools::ExtractTranslationXYZ ( const Matrix & worldMatrix )

Extract translation vector from world matrix.

assumes matrix is a world matrix composed of translation, rotation and scale.

Parameters

worldMatrix The world matrix.

Returns: The translation vector.

◆ Intersect() [1/13]

bool MathTools::Intersect	(	const CollisionVolumeAABB &	AABB,
		const CollisionVolumeOBB &	OBB
	)

Test intersection between AABB and OBB.

Parameters

AABB	An AABB.
OBB	An OBB.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [2/13]

bool MathTools::Intersect	(	const CollisionVolumeAABB &	AABB,
		const CollisionVolumeOctree &	Octree
	)

Test intersection between AABB and Octree.

Parameters

AABB	An AABB.
Octree	An Octree.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [3/13]

bool MathTools::Intersect	(	const CollisionVolumeAABB &	AABB,
		const Vect &	point
	)

Test intersection between an AABB and a point.

Parameters

AABB	An AABB.
point	A point.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [4/13]

bool MathTools::Intersect	(	const CollisionVolumeAABB &	AABB_1,
		const CollisionVolumeAABB &	AABB_2
	)

Test intersection between two AABBs.

Parameters

AABB_1	An AABB.
AABB_2	An AABB.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [5/13]

bool MathTools::Intersect	(	const CollisionVolumeBSphere &	BSphere,
		const CollisionVolumeAABB &	AABB
	)

Test intersection between BSphere and AABB.

Parameters

BSphere	A BSphere.
AABB	An AABB.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [6/13]

bool MathTools::Intersect	(	const CollisionVolumeBSphere &	BSphere,
		const CollisionVolumeOBB &	OBB
	)

Test intersection between BSphere and OBB.

Parameters

BSphere	A BSphere.
OBB	An OBB.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [7/13]

bool MathTools::Intersect	(	const CollisionVolumeBSphere &	BSphere,
		const CollisionVolumeOctree &	Octree
	)

Test intersection between BSphere and Octree.

Parameters

BSphere	A BSphere.
Octree	An Octree.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [8/13]

bool MathTools::Intersect	(	const CollisionVolumeBSphere &	BSphere_1,
		const CollisionVolumeBSphere &	BSphere_2
	)

Test intersection between two BSpheres.

Parameters

BSphere_1	The first sphere.
BSphere_2	The second sphere.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [9/13]

bool MathTools::Intersect	(	const CollisionVolumeOBB &	OBB,
		const CollisionVolumeOctree &	Octree
	)

Test intersection between an OBB and an Octree.

Parameters

OBB	An OBB.
Octree	An Octree.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [10/13]

bool MathTools::Intersect	(	const CollisionVolumeOBB &	OBB,
		const Triangle &	triangle
	)

Test intersection between an OBB and a Triangle.

Parameters

OBB	An OBB.
triangle	A triangle.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [11/13]

bool MathTools::Intersect	(	const CollisionVolumeOBB &	OBB,
		const Vect &	point
	)

Test intersection between an OBB and a point.

Parameters

OBB	An OBB.
point	A point.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [12/13]

bool MathTools::Intersect	(	const CollisionVolumeOBB &	OBB_1,
		const CollisionVolumeOBB &	OBB_2
	)

Test intersection between two OBBs.

Parameters

OBB_1	An OBB.
OBB_2	An OBB.

Returns: True if it succeeds, false if it fails.

◆ Intersect() [13/13]

bool MathTools::Intersect	(	const CollisionVolumeOctree &	Octree_1,
		const CollisionVolumeOctree &	Octree_2
	)

Test intersection between two Octrees.

Parameters

Octree_1	An Octree.
Octree_2	An Octree.

Returns: True if it succeeds, false if it fails.

◆ IsGreaterThan()

bool MathTools::IsGreaterThan	(	const Vect &	vect_1,
		const Vect &	vect_2
	)

Determines if a Vect is greater than another Vect.

Parameters

vect_1	A Vect.
vect_2	A Vect.

Returns: True if greater than , otherwise false.

◆ IsInRange()

bool MathTools::IsInRange	(	const Vect &	vect,
		const Vect &	vect_1,
		const Vect &	vect_2
	)

Determines if a Vect is in between two Vect values

Parameters

vect	A Vect.
vect_1	A Vect.
vect_2	A Vect.

Returns: True if within range, otherwise false.

◆ IsLessThan()

bool MathTools::IsLessThan	(	const Vect &	vect_1,
		const Vect &	vect_2
	)

Determines if a Vect is less than another Vect.

Parameters

vect_1	A Vect.
vect_2	A Vect.

Returns: True if less than , otherwise false.

◆ Max()

Vect MathTools::Max	(	const Vect &	vect_1,
		const Vect &	vect_2
	)

Constructs Vect using the maximum values of two Vects.

Parameters

vect_1	A Vect.
vect_2	A Vect.

Returns: Vect with maximum values.

◆ Min()

Vect MathTools::Min	(	const Vect &	vect_1,
		const Vect &	vect_2
	)

Constructs Vect using the mininum values of two Vects.

Parameters

vect_1	A Vect.
vect_2	A Vect.

Returns: Vect with minimum values.

◆ MultiplyComponents()

Vect MathTools::MultiplyComponents	(	const Vect &	vect_1,
		const Vect &	vect_2
	)

Multiplies two vectors by each component (x1 * x2, y1 * y2, z1 * z2).

Parameters

vect_1	A Vect.
vect_2	A Vect.

Returns: A Vect

◆ power()

float MathTools::power	(	float	base,
		int	exponent
	)

raises base to the power of integers.

Parameters

base	The base.
exponent	An interger exponent.

Returns: A type.

◆ RotationFromTowards()

Matrix MathTools::RotationFromTowards	(	const Vect &	current,
		const Vect &	target
	)

Computes rotation matrix to rotate vector from current to target.

.

Parameters

current	A Vect.
target	A Vect.

Returns: a rotation matrix.

Functions

Detailed Description

Function Documentation

◆ DoIntervalsOverlap()

◆ ExtractScaleMatrix()

◆ ExtractScaleX()

◆ ExtractScaleXYZ()

◆ ExtractScaleY()

◆ ExtractScaleZ()

◆ ExtractTranslationMatrix()

◆ ExtractTranslationXYZ()

◆ Intersect() [1/13]

◆ Intersect() [2/13]

◆ Intersect() [3/13]

◆ Intersect() [4/13]

◆ Intersect() [5/13]

◆ Intersect() [6/13]

◆ Intersect() [7/13]

◆ Intersect() [8/13]

◆ Intersect() [9/13]

◆ Intersect() [10/13]

◆ Intersect() [11/13]

◆ Intersect() [12/13]

◆ Intersect() [13/13]

◆ IsGreaterThan()

◆ IsInRange()

◆ IsLessThan()

◆ Max()

◆ Min()

◆ MultiplyComponents()

◆ power()

◆ RotationFromTowards()