Classes
struct	Interval

Functions
bool	Intersect (const CollisionVolume &collisionVolume_1, const CollisionVolume &collisionVolume_2)
	Test intersection between two collision volumes. More...

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

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

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

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

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

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

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

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

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

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

bool	Intersect (const CollisionVolume &collisionVolume, const CollisionVolumeOctree &Octree)

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

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

void	OutputAxesToTest (const CollisionVolumeOBB &OBB_1, const CollisionVolumeOBB &OBB_2, Vect *axes)
	Computes and outputs all axes to test. More...

void	OutputAxesToTest (const CollisionVolumeAABB &AABB, const CollisionVolumeOBB &OBB, Vect *axes)
	Computes and outputs all axes to test. More...

bool	DoesOverlapsOnAxis (const CollisionVolumeOBB &OBB_1, const CollisionVolumeOBB &OBB_2, const Vect &axis)
	Determines if two Boxes overlap on specified axis. More...

bool	DoesOverlapsOnAxis (const CollisionVolumeAABB &AABB, const CollisionVolumeOBB &OBB, const Vect &axis)
	Determines if two Boxes overlap on specified axis. More...

float	getMaxBoxProjectionLength (const CollisionVolumeOBB &OBB, const Vect &axis)
	Computes max projections length of Box onto an axis. More...

float	getMaxBoxProjectionLength (const CollisionVolumeAABB &AABB, const Vect &axis)
	Computes max projections length of Box onto an axis. More...

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

Triangle	AdjustTriangle (const CollisionVolumeOBB &OBB, const Triangle &triangle)

void	OutputAxesToTest (const CollisionVolumeOBB &OBB, const Triangle &triangle, Vect *axes)
	Computes and outputs all axes to test. More...

bool	DoesOverlapsOnAxis (const CollisionVolumeOBB &OBB, const Triangle &triangle, const Vect &axis)
	Determines if Box and triangle overlap on specified axis. More...

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

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

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

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

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

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

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

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

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

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

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

Vect	Clamp (const Vect &value, const Vect &min, const Vect &max)
	Clamps the given Vect . More...

Vect	Projection (const Vect &vect_1, const Vect &vect_2)
	Projection of vect_1 onto vect_2. More...

float	ProjectionLength (const Vect &vect_1, const Vect &vect_2)
	Projection length of vect_1 onto vect_2. More...

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

template<typename type >
type	Clamp (type value, type min, type max)
	Clamp the given value. More...

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

bool	IsInRange (float number, float number_1, float number_2)

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

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

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

Detailed Description

namespace: MathTools

summary: A places where are tools to be used by engine and even the user.

Function Documentation

◆ Clamp() [1/2]

Vect MathTools::Clamp	(	const Vect &	value,
		const Vect &	min,
		const Vect &	max
	)

Clamps the given Vect .

Parameters

value	The value.
min	The minimum.
max	The maximum.

Returns: A vector.

◆ Clamp() [2/2]

template<typename type >

type MathTools::Clamp	(	type	value,
		type	min,
		type	max
	)

Clamp the given value.

Template Parameters

type	Type of the type.

Parameters

value	The value.
min	The minimum.
max	The maximum.

Returns: A type.

◆ DoesOverlapsOnAxis() [1/3]

bool MathTools::DoesOverlapsOnAxis	(	const CollisionVolumeAABB &	AABB,
		const CollisionVolumeOBB &	OBB,
		const Vect &	axis
	)

Determines if two Boxes overlap on specified axis.

The axis is pure vector, so Vect[w] must be 0.

Parameters

AABB	An AABB.
OBB	An OBB.
axis	An axis.

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

◆ DoesOverlapsOnAxis() [2/3]

bool MathTools::DoesOverlapsOnAxis	(	const CollisionVolumeOBB &	OBB,
		const Triangle &	triangle,
		const Vect &	axis
	)

Determines if Box and triangle overlap on specified axis.

The axis is pure vector, so Vect[w] must be 0.

Parameters

OBB	An OBB.
triangle	An triangle.
axis	An axis.

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

◆ DoesOverlapsOnAxis() [3/3]

bool MathTools::DoesOverlapsOnAxis	(	const CollisionVolumeOBB &	OBB_1,
		const CollisionVolumeOBB &	OBB_2,
		const Vect &	axis
	)

Determines if two Boxes overlap on specified axis.

The axis is pure vector, so Vect[w] must be 0.

Parameters

OBB_1	An OBB.
OBB_2	An OBB.
axis	An axis.

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

◆ getMaxBoxProjectionLength() [1/2]

float MathTools::getMaxBoxProjectionLength	(	const CollisionVolumeAABB &	AABB,
		const Vect &	axis
	)

Computes max projections length of Box onto an axis.

The axis is pure vector, so Vect[w] must be 0.

Parameters

AABB	An AABB.
axis	An axis.

Returns: return Max Projection length.

◆ getMaxBoxProjectionLength() [2/2]

float MathTools::getMaxBoxProjectionLength	(	const CollisionVolumeOBB &	OBB,
		const Vect &	axis
	)

Computes max projections length of Box onto an axis.

The axis is pure vector, so Vect[w] must be 0.

Parameters

OBB	An OBB.
axis	An axis.

Returns: return Max Projection length.

◆ Intersect()

bool MathTools::Intersect	(	const CollisionVolume &	collisionVolume_1,
		const CollisionVolume &	collisionVolume_2
	)

Test intersection between two collision volumes.

Parameters

collisionVolume_1	The first collision volume.
collisionVolume_2	The second collision volume.

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

◆ OutputAxesToTest() [1/3]

void MathTools::OutputAxesToTest	(	const CollisionVolumeAABB &	AABB,
		const CollisionVolumeOBB &	OBB,
		Vect *	axes
	)

Computes and outputs all axes to test.

Only 15 axes are computed.

Parameters

AABB	An AABB.
OBB	An OBB.
axes	A array of Vect to write data to

Returns: Nothing.

◆ OutputAxesToTest() [2/3]

void MathTools::OutputAxesToTest	(	const CollisionVolumeOBB &	OBB,
		const Triangle &	triangle,
		Vect *	axes
	)

Computes and outputs all axes to test.

Only 13 axes are computed.

Parameters

OBB	An OBB.
triangle	An triangle.
axes	A array of Vect to write data to

Returns: Nothing.

◆ OutputAxesToTest() [3/3]

void MathTools::OutputAxesToTest	(	const CollisionVolumeOBB &	OBB_1,
		const CollisionVolumeOBB &	OBB_2,
		Vect *	axes
	)

Computes and outputs all axes to test.

Only 15 axes are computed.

Parameters

OBB_1	An OBB.
OBB_2	An OBB.
axes	A array of Vect to write data to

Returns: Nothing.

◆ Projection()

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

Projection of vect_1 onto vect_2.

Parameters

vect_1	A Vect.
vect_2	A vect.

Returns: The projection vect.

◆ ProjectionLength()

float MathTools::ProjectionLength	(	const Vect &	vect_1,
		const Vect &	vect_2
	)

Projection length of vect_1 onto vect_2.

Parameters

vect_1	A Vect.
vect_2	A vect.

Returns: The projection length.

Classes

Functions

Detailed Description

Function Documentation

◆ Clamp() [1/2]

◆ Clamp() [2/2]

◆ DoesOverlapsOnAxis() [1/3]

◆ DoesOverlapsOnAxis() [2/3]

◆ DoesOverlapsOnAxis() [3/3]

◆ getMaxBoxProjectionLength() [1/2]

◆ getMaxBoxProjectionLength() [2/2]

◆ Intersect()

◆ OutputAxesToTest() [1/3]

◆ OutputAxesToTest() [2/3]

◆ OutputAxesToTest() [3/3]

◆ Projection()

◆ ProjectionLength()