4 dimensional floating point matrix More...

Collaboration diagram for Burger::Matrix4D_t:

Public Member Functions
void	Zero (void) noexcept
	Clear out a 4D matrix.

void	Identity (void) noexcept
	Initialize a 4D matrix so that it is inert.

void	Set (const Matrix4D_t *pInput) noexcept
	Copy the matrix.

void	Set (const FixedMatrix4D_t *pInput) noexcept
	Convert a fixed point matrix into a floating point matrix.

void	Set (const Matrix3D_t *pInput) noexcept
	Copy a Matrix3D_t to a Matrix4D_t.

void	SetYaw (float fYaw) noexcept
	Initialize a rotation matrix with radians for yaw (Y)

void	SetPitch (float fPitch) noexcept
	Initialize a rotation matrix with radians for pitch (X)

void	SetRoll (float fRoll) noexcept
	Initialize a rotation matrix with radians for roll (Z)

void	SetYXZ (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a rotation matrix in the order of Y, X and Z.

void	SetYZX (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a rotation matrix in the order of Y, Z and X.

void	SetXYZ (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a rotation matrix in the order of X, Y and Z.

void	SetXZY (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a rotation matrix in the order of X, Z and Y.

void	SetZYX (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a rotation matrix in the order of Z, Y and X.

void	SetZXY (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a rotation matrix in the order of Z, X and Y.

void	SetTranslate (float fX, float fY, float fZ) noexcept
	Create a 4D translation matrix.

void	SetFromQuaternion (const Vector4D_t *pInput) noexcept
	Convert a quaternion to a 4x4 matrix.

void	TransposeSetYaw (float fYaw) noexcept
	Initialize a rotation matrix with radians for yaw (Y)

void	TransposeSetPitch (float fPitch) noexcept
	Initialize a rotation matrix with radians for pitch (X)

void	TransposeSetRoll (float fRoll) noexcept
	Initialize a rotation matrix with radians for roll (Z)

void	TransposeSetYXZ (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a transposed rotation matrix in the order of Y, X and Z.

void	TransposeSetYZX (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a transposed rotation matrix in the order of Y, Z and X.

void	TransposeSetXYZ (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a transposed rotation matrix in the order of X, Y and Z.

void	TransposeSetXZY (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a transposed rotation matrix in the order of X, Z and Y.

void	TransposeSetZYX (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a transposed rotation matrix in the order of Z, Y and X.

void	TransposeSetZXY (float fYaw, float fPitch, float fRoll) noexcept
	Initialize a transposed rotation matrix in the order of Z, X and Y.

void	TransposeSetFromQuaternion (const Vector4D_t *pInput) noexcept
	Convert a quaternion to a transposed 4x4 matrix.

void	SetScale (float fX, float fY, float fZ) noexcept
	Create a 4D scale matrix.

void	SetScale (float fX, float fY, float fZ, float fW) noexcept
	Create a 4D scale matrix.

void	SetFrustum (float fLeft, float fRight, float fBottom, float fTop, float fNear, float fFar) noexcept
	Create a transposed 4D projection matrix.

void	TransposeSetFrustum (float fLeft, float fRight, float fBottom, float fTop, float fNear, float fFar) noexcept
	Create a 4D projection matrix.

void	SetOrtho (float fLeft, float fRight, float fBottom, float fTop, float fNear, float fFar) noexcept
	Create a transposed orthogonal 4D projection matrix.

void	TransposeSetOrtho (float fLeft, float fRight, float fBottom, float fTop, float fNear, float fFar) noexcept
	Create an orthogonal 4D projection matrix.

void	SetPerspective (float fFieldOfViewY, float fAspect, float fNear, float fFar) noexcept
	Create a 4D perspective matrix.

void	TransposeSetPerspective (float fFieldOfViewY, float fAspect, float fNear, float fFar) noexcept
	Create a 4D perspective matrix.

void	Transpose (void) noexcept
	Perform a matrix transposition.

void	Transpose (const Matrix4D_t *pInput) noexcept
	Perform a matrix transposition.

void	GetXRow (Vector3D_t *pOutput) const noexcept
	Return the X row from a matrix.

void	GetXRow (Vector4D_t *pOutput) const noexcept
	Return the X row from a matrix.

void	GetYRow (Vector3D_t *pOutput) const noexcept
	Return the Y row from a matrix.

void	GetYRow (Vector4D_t *pOutput) const noexcept
	Return the Y row from a matrix.

void	GetZRow (Vector3D_t *pOutput) const noexcept
	Return the Z row from a matrix.

void	GetZRow (Vector4D_t *pOutput) const noexcept
	Return the Z row from a matrix.

void	GetWRow (Vector3D_t *pOutput) const noexcept
	Return the W row from a matrix.

void	GetWRow (Vector4D_t *pOutput) const noexcept
	Return the W row from a matrix.

void	GetXColumn (Vector3D_t *pOutput) const noexcept
	Return the X column from a matrix.

void	GetXColumn (Vector4D_t *pOutput) const noexcept
	Return the X column from a matrix.

void	GetYColumn (Vector3D_t *pOutput) const noexcept
	Return the Y column from a matrix.

void	GetYColumn (Vector4D_t *pOutput) const noexcept
	Return the Y column from a matrix.

void	GetZColumn (Vector3D_t *pOutput) const noexcept
	Return the Z column from a matrix.

void	GetZColumn (Vector4D_t *pOutput) const noexcept
	Return the Z column from a matrix.

void	GetWColumn (Vector3D_t *pOutput) const noexcept
	Return the W column from a matrix.

void	GetWColumn (Vector4D_t *pOutput) const noexcept
	Return the W column from a matrix.

void	SetXRow (const Vector3D_t *pInput) noexcept
	Set the X row of a matrix.

void	SetXRow (const Vector4D_t *pInput) noexcept
	Set the X row of a matrix.

void	SetYRow (const Vector3D_t *pInput) noexcept
	Set the Y row of a matrix.

void	SetYRow (const Vector4D_t *pInput) noexcept
	Set the Y row of a matrix.

void	SetZRow (const Vector3D_t *pInput) noexcept
	Set the Z row of a matrix.

void	SetZRow (const Vector4D_t *pInput) noexcept
	Set the Z row of a matrix.

void	SetWRow (const Vector3D_t *pInput) noexcept
	Set the W row of a matrix.

void	SetWRow (const Vector4D_t *pInput) noexcept
	Set the W row of a matrix.

void	SetXColumn (const Vector3D_t *pInput) noexcept
	Set the X column of a matrix.

void	SetXColumn (const Vector4D_t *pInput) noexcept
	Set the X column of a matrix.

void	SetYColumn (const Vector3D_t *pInput) noexcept
	Set the Y column of a matrix.

void	SetYColumn (const Vector4D_t *pInput) noexcept
	Set the Y column of a matrix.

void	SetZColumn (const Vector3D_t *pInput) noexcept
	Set the Z column of a matrix.

void	SetZColumn (const Vector4D_t *pInput) noexcept
	Set the Z column of a matrix.

void	SetWColumn (const Vector3D_t *pInput) noexcept
	Set the W column of a matrix.

void	SetWColumn (const Vector4D_t *pInput) noexcept
	Set the W column of a matrix.

void	Multiply (const Matrix4D_t *pInput) noexcept
	Perform a matrix multiply against this matrix.

void	Multiply (const Matrix4D_t pInput1, const Matrix4D_t pInput2) noexcept
	Perform a matrix multiply.

void	Multiply (float fScale) noexcept
	Perform a matrix multiply by a scalar.

void	Multiply (const Matrix4D_t *pInput, float fScale) noexcept
	Initialize with a matrix multiplied by a scalar.

void	Multiply (float fScaleX, float fScaleY, float fScaleZ) noexcept
	Multiply by an X,Y and Z scale.

void	Multiply (const Matrix4D_t *pInput, float fScaleX, float fScaleY, float fScaleZ) noexcept
	Multiply by an X,Y and Z scale into a copy.

void	Multiply (float fScaleX, float fScaleY, float fScaleZ, float fScaleW) noexcept
	Multiply by an X, Y, Z and W scale.

void	Multiply (const Matrix4D_t *pInput, float fScaleX, float fScaleY, float fScaleZ, float fScaleW) noexcept
	Multiply by an X, Y, Z and W scale.

void	Multiply3x3 (float fInput) noexcept
	Perform a 3x3 matrix multiply by a scalar.

void	Multiply3x3 (const Matrix4D_t *pInput, float fInput) noexcept
	Perform a 3x3 matrix multiply by a scalar.

void	TransposeMultiply (float fScaleX, float fScaleY, float fScaleZ) noexcept
	Multiply by an X,Y and Z scale.

void	TransposeMultiply (const Matrix4D_t *pInput, float fScaleX, float fScaleY, float fScaleZ) noexcept
	Multiply by an X,Y and Z scale into a copy.

void	TransposeMultiply (float fScaleX, float fScaleY, float fScaleZ, float fScaleW) noexcept
	Multiply by an X, Y, Z, and W scale.

void	TransposeMultiply (const Matrix4D_t *pInput, float fScaleX, float fScaleY, float fScaleZ, float fScaleW) noexcept
	Multiply by an X, Y, Z, and W scale.

void	Transform (Vector3D_t *pInput) const noexcept
	Multiply a vector by a matrix.

void	Transform (Vector4D_t *pInput) const noexcept
	Multiply a vector by a matrix.

void	Transform (Vector3D_t pOutput, const Vector3D_t pInput) const noexcept
	Multiply a vector by a matrix.

void	Transform (Vector4D_t pOutput, const Vector4D_t pInput) const noexcept
	Multiply a vector by a matrix.

void	TransposeTransform (Vector3D_t *pInput) const noexcept
	Multiply a vector by a transposed matrix.

void	TransposeTransform (Vector4D_t *pInput) const noexcept
	Multiply a vector by a transposed matrix.

void	TransposeTransform (Vector3D_t pOutput, const Vector3D_t pInput) const noexcept
	Multiply a vector by a transposed matrix.

void	TransposeTransform (Vector4D_t pOutput, const Vector4D_t pInput) const noexcept
	Multiply a vector by a transposed matrix.

void	Transform3x3 (Vector3D_t *pInput) const noexcept
	Multiply a vector by a matrix without adding W.

void	Transform3x3 (Vector3D_t pOutput, const Vector3D_t pInput) const noexcept
	Multiply a vector by a matrix without adding W.

void	TransposeTransform3x3 (Vector3D_t *pInput) const noexcept
	Multiply a vector by a transposed matrix without adding W.

void	TransposeTransform3x3 (Vector3D_t pOutput, const Vector3D_t pInput) const noexcept
	Multiply a vector by a transposed matrix without adding W.

void	Yaw (float fYaw) noexcept
	Rotate a matrix in the Y axis (Yaw)

void	Pitch (float fPitch) noexcept
	Rotate a matrix in the X axis (Pitch)

void	Roll (float fRoll) noexcept
	Rotate a matrix in the Z axis (Roll)

void	Rotate (float fRadians, float fX, float fY, float fZ) noexcept
	Rotate a matrix in an arbitrary axis.

void	Translate (float fX, float fY, float fZ) noexcept
	Multiply the matrix by a generated translation matrix.

void	TransposeTranslate (float fX, float fY, float fZ) noexcept
	Multiply the matrix by a generated transposed translation matrix.

uint_t	AffineInverse (const Matrix4D_t *pInput) noexcept
	Generate an affine inverse of a matrix.

void	PerspectiveFovLH (float fFieldOfViewY, float fAspect, float fNear, float fFar) noexcept
	Create a 4D perspective matrix.

void	PerspectiveFovRH (float fFieldOfViewY, float fAspect, float fNear, float fFar) noexcept
	Create a 4D perspective matrix.

	operator const float * () const noexcept
	Convert to a const float pointer.

Public Attributes
Vector4D_t	x
	32 bit floating point X row for the 4D Matrix

Vector4D_t	y
	32 bit floating point Y row for the 4D Matrix

Vector4D_t	z
	32 bit floating point Z row for the 4D Matrix

Vector4D_t	w
	32 bit floating point W row for the 4D Matrix

Detailed Description

4 dimensional floating point matrix

This 64 byte matrix contains x,y,z and w 32 bit floating point rows and columns. A set of common functions for simple 4 dimensional math are part of the structure.

It is expected to be 4 byte aligned and use scalar math. The members are hard coded to be "x", "y", "z" and "w" for maximum compatibility

Note: Since this is a structure, there is no constructor or destructor, so assume the data is uninitialized when creating this data type.

See also: Burger::Vector4D_t, Burger::Matrix3D_t or Burger::FixedMatrix4D_t

Member Function Documentation

◆ AffineInverse()

uint_t BURGER_API Burger::Matrix4D_t::AffineInverse ( const Matrix4D_t * pInput )

noexcept

Generate an affine inverse of a matrix.

Using the 3x3 sub-matrix, generate a determinate and use it to calculate the inverse of the 3x3 matrix. Adjust the translate component and then clear out the scale.

If the matrix cannot be inverted, FALSE is returned and the original matrix is copied as is.

Parameters

pInput Pointer to a matrix to affine invert.

Returns: TRUE if the inversion was successful, FALSE if not

◆ GetWColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::GetWColumn ( Vector3D_t * pOutput ) const

noexcept

Return the W column from a matrix.

Copy the w column of a matrix into a user supplied Vector3D_t buffer.

x	y	z
xw	yw	zw

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetWColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::GetWColumn ( Vector4D_t * pOutput ) const

noexcept

Return the W column from a matrix.

Copy the w column of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
xw	yw	zw	ww

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetWRow() [1/2]

void BURGER_API Burger::Matrix4D_t::GetWRow ( Vector3D_t * pOutput ) const

noexcept

Return the W row from a matrix.

Copy the w row of a matrix into a user supplied Vector3D_t buffer.

x	y	z
wx	wy	wz

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetWRow() [2/2]

void BURGER_API Burger::Matrix4D_t::GetWRow ( Vector4D_t * pOutput ) const

noexcept

Return the W row from a matrix.

Copy the w row of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
wx	wy	wz	ww

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetXColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::GetXColumn ( Vector3D_t * pOutput ) const

noexcept

Return the X column from a matrix.

Copy the x column of a matrix into a user supplied Vector3D_t buffer.

x	y	z
xx	yx	zx

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetXColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::GetXColumn ( Vector4D_t * pOutput ) const

noexcept

Return the X column from a matrix.

Copy the x column of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
xx	yx	zx	wx

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetXRow() [1/2]

void BURGER_API Burger::Matrix4D_t::GetXRow ( Vector3D_t * pOutput ) const

noexcept

Return the X row from a matrix.

Copy the x row of a matrix into a user supplied Vector3D_t buffer.

x	y	z
xx	xy	xz

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetXRow() [2/2]

void BURGER_API Burger::Matrix4D_t::GetXRow ( Vector4D_t * pOutput ) const

noexcept

Return the X row from a matrix.

Copy the x row of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
xx	xy	xz	xw

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetYColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::GetYColumn ( Vector3D_t * pOutput ) const

noexcept

Return the Y column from a matrix.

Copy the y column of a matrix into a user supplied Vector3D_t buffer.

x	y	z
xy	yy	zy

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetYColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::GetYColumn ( Vector4D_t * pOutput ) const

noexcept

Return the Y column from a matrix.

Copy the y column of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
xy	yy	zy	wy

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetYRow() [1/2]

void BURGER_API Burger::Matrix4D_t::GetYRow ( Vector3D_t * pOutput ) const

noexcept

Return the Y row from a matrix.

Copy the y row of a matrix into a user supplied Vector3D_t buffer.

x	y	z
yx	yy	yz

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetYRow() [2/2]

void BURGER_API Burger::Matrix4D_t::GetYRow ( Vector4D_t * pOutput ) const

noexcept

Return the Y row from a matrix.

Copy the y row of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
yx	yy	yz	yw

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetZColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::GetZColumn ( Vector3D_t * pOutput ) const

noexcept

Return the Z column from a matrix.

Copy the z column of a matrix into a user supplied Vector3D_t buffer.

x	y	z
xz	yz	zz

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetZColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::GetZColumn ( Vector4D_t * pOutput ) const

noexcept

Return the Z column from a matrix.

Copy the z column of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
xz	yz	zz	wz

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ GetZRow() [1/2]

void BURGER_API Burger::Matrix4D_t::GetZRow ( Vector3D_t * pOutput ) const

noexcept

Return the Z row from a matrix.

Copy the z row of a matrix into a user supplied Vector3D_t buffer.

x	y	z
zx	zy	zz

Parameters

pOutput Pointer to an uninitialized Vector3D_t structure to receive the data

◆ GetZRow() [2/2]

void BURGER_API Burger::Matrix4D_t::GetZRow ( Vector4D_t * pOutput ) const

noexcept

Return the Z row from a matrix.

Copy the z row of a matrix into a user supplied Vector4D_t buffer.

x	y	z	w
zx	zy	zz	zw

Parameters

pOutput Pointer to an uninitialized Vector4D_t structure to receive the data

◆ Identity()

void BURGER_API Burger::Matrix4D_t::Identity ( void )

noexcept

Initialize a 4D matrix so that it is inert.

Sets the x.x, y.y, z.z and w.w components to 1.0f, all others to 0.0f

	x	y	z	w
x	1	0	0	0
y	0	1	0	0
z	0	0	1	0
w	0	0	0	1

See also: Zero(void)

◆ Multiply() [1/8]

void BURGER_API Burger::Matrix4D_t::Multiply ( const Matrix4D_t * pInput )

noexcept

Perform a matrix multiply against this matrix.

Multiply this matrix against another one

Use this formula to create the final matrix, this matrix is matrix #1 and the input matrix is matrix #2

	x	y	z	w
x	(x.xpInput->x.x)+(y.xpInput->x.y)+(z.xpInput->x.z)+(w.xpInput->x.w)	(x.ypInput->x.x)+(y.ypInput->x.y)+(z.ypInput->x.z)+(w.ypInput->x.w)	(x.zpInput->x.x)+(y.zpInput->x.y)+(z.zpInput->x.z)+(w.zpInput->x.w)	(x.wpInput->x.x)+(y.wpInput->x.y)+(z.wpInput->x.z)+(w.wpInput->x.w)
y	(x.xpInput->y.x)+(y.xpInput->y.y)+(z.xpInput->y.z)+(w.xpInput->y.w)	(x.ypInput->y.x)+(y.ypInput->y.y)+(z.ypInput->y.z)+(w.ypInput->y.w)	(x.zpInput->y.x)+(y.zpInput->y.y)+(z.zpInput->y.z)+(w.zpInput->y.w)	(x.wpInput->y.x)+(y.wpInput->y.y)+(z.wpInput->y.z)+(w.wpInput->y.w)
z	(x.xpInput->z.x)+(y.xpInput->z.y)+(z.xpInput->z.z)+(w.xpInput->z.w)	(x.ypInput->z.x)+(y.ypInput->z.y)+(z.ypInput->z.z)+(w.ypInput->z.w)	(x.zpInput->z.x)+(y.zpInput->z.y)+(z.zpInput->z.z)+(w.zpInput->z.w)	(x.wpInput->z.x)+(y.wpInput->z.y)+(z.wpInput->z.z)+(w.wpInput->z.w)
w	(x.xpInput->w.x)+(y.xpInput->w.y)+(z.xpInput->z.z)+(w.xpInput->w.w)	(x.ypInput->w.x)+(y.ypInput->w.y)+(z.ypInput->z.z)+(w.ypInput->w.w)	(x.zpInput->w.x)+(y.zpInput->w.y)+(z.zpInput->z.z)+(w.zpInput->w.w)	(x.wpInput->w.x)+(y.wpInput->w.y)+(z.wpInput->z.z)+(w.wpInput->w.w)

Parameters

pInput Matrix to multiply against

See also: Multiply(const Matrix4D_t *,const Matrix4D_t *)

◆ Multiply() [2/8]

void BURGER_API Burger::Matrix4D_t::Multiply	(	const Matrix4D_t *	pInput,
		float	fScale )

noexcept

Initialize with a matrix multiplied by a scalar.

Multiply all values of the matrix by a scalar constant and store the result in this matrix

Use this formula to create the final matrix

	x	y	z	w
x	pInput->xx*fInput	pInput->xy*fInput	pInput->xz*fInput	pInput->xw*fInput
y	pInput->yx*fInput	pInput->yy*fInput	pInput->yz*fInput	pInput->yw*fInput
z	pInput->zx*fInput	pInput->zy*fInput	pInput->zz*fInput	pInput->zw*fInput
w	pInput->wx*fInput	pInput->wy*fInput	pInput->wz*fInput	pInput->ww*fInput

Parameters

pInput	Pointer to Matrix to multiply
fScale	Scalar value to multiply all values by

See also: Multiply(float) or Multiply3x3(float)

◆ Multiply() [3/8]

void BURGER_API Burger::Matrix4D_t::Multiply	(	const Matrix4D_t *	pInput,
		float	fScaleX,
		float	fScaleY,
		float	fScaleZ )

noexcept

Multiply by an X,Y and Z scale into a copy.

Using only the x.x, y.y, and z.z components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix and store the result in this Matrix4D_t

Use this formula to create the final matrix

	x	y	z	w
x	(pInput->x.x*fScaleX)	(pInput->x.y*fScaleX)	(pInput->x.z*fScaleX)	(pInput->x.w*fScaleX)
y	(pInput->y.x*fScaleY)	(pInput->y.y*fScaleY)	(pInput->y.z*fScaleY)	(pInput->y.w*fScaleY)
z	(pInput->z.x*fScaleZ)	(pInput->z.y*fScaleZ)	(pInput->z.z*fScaleZ)	(pInput->z.w*fScaleZ)
w	(pInput->w.x*1.0f)	(pInput->w.y*1.0f)	pInput->w.z*1.0f)	(pInput->w.w*1.0f)

Note: Terms with a multiply by 1.0f perform a copy operation instead of a multiply in the implementation.

Parameters

pInput	Pointer to a valid Matrix4D_t to apply the scale to
fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value

See also: Multiply(float,float,float), TransposeMultiply(const Matrix4D_t*,float,float,float) or SetScale(float,float,float)

◆ Multiply() [4/8]

void BURGER_API Burger::Matrix4D_t::Multiply	(	const Matrix4D_t *	pInput,
		float	fScaleX,
		float	fScaleY,
		float	fScaleZ,
		float	fScaleW )

noexcept

Multiply by an X, Y, Z and W scale.

Using only the x.x, y.y, z.z and w.w components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix and store the result in this Matrix4D_t

Use this formula to create the final matrix

	x	y	z	w
x	(pInput->x.x*fScaleX)	(pInput->x.y*fScaleX)	(pInput->x.z*fScaleX)	(pInput->x.w*fScaleX)
y	(pInput->y.x*fScaleY)	(pInput->y.y*fScaleY)	(pInput->y.z*fScaleY)	(pInput->y.w*fScaleY)
z	(pInput->z.x*fScaleZ)	(pInput->z.y*fScaleZ)	(pInput->z.z*fScaleZ)	(pInput->z.w*fScaleZ)
w	(pInput->w.x*fScaleW)	(pInput->w.y*fScaleW)	(pInput->w.z*fScaleW)	(pInput->w.w*fScaleW)

Parameters

pInput	Pointer to a valid Matrix4D_t to apply the scale to
fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value
fScaleW	W scale value

See also: Multiply(float,float,float,float), TransposeMultiply(const Matrix4D_t*,float,float,float,float) or SetScale(float,float,float,float)

◆ Multiply() [5/8]

void BURGER_API Burger::Matrix4D_t::Multiply	(	const Matrix4D_t *	pInput1,
		const Matrix4D_t *	pInput2 )

noexcept

Perform a matrix multiply.

Multiply two matrices together and store the result in this matrix.

Use this formula to create the final matrix

	x	y	z	w
x	(pInput1->x.xpInput2->x.x)+(pInput1->y.xpInput2->x.y)+(pInput1->z.xpInput2->x.z)+(pInput1->w.xpInput2->x.w)	(pInput1->x.ypInput2->x.x)+(pInput1->y.ypInput2->x.y)+(pInput1->z.ypInput2->x.z)+(pInput1->w.ypInput2->x.w)	(pInput1->x.zpInput2->x.x)+(pInput1->y.zpInput2->x.y)+(pInput1->z.zpInput2->x.z)+(pInput1->w.zpInput2->x.w)	(pInput1->x.wpInput2->x.x)+(pInput1->y.wpInput2->x.y)+(pInput1->z.wpInput2->x.z)+(pInput1->w.wpInput2->x.w)
y	(pInput1->x.xpInput2->y.x)+(pInput1->y.xpInput2->y.y)+(pInput1->z.xpInput2->y.z)+(pInput1->w.xpInput2->y.w)	(pInput1->x.ypInput2->y.x)+(pInput1->y.ypInput2->y.y)+(pInput1->z.ypInput2->y.z)+(pInput1->w.ypInput2->y.w)	(pInput1->x.zpInput2->y.x)+(pInput1->y.zpInput2->y.y)+(pInput1->z.zpInput2->y.z)+(pInput1->w.zpInput2->y.w)	(pInput1->x.wpInput2->y.x)+(pInput1->y.wpInput2->y.y)+(pInput1->z.wpInput2->y.z)+(pInput1->w.wpInput2->y.w)
z	(pInput1->x.xpInput2->z.x)+(pInput1->y.xpInput2->z.y)+(pInput1->z.xpInput2->z.z)+(pInput1->w.xpInput2->z.w)	(pInput1->x.ypInput2->z.x)+(pInput1->y.ypInput2->z.y)+(pInput1->z.ypInput2->z.z)+(pInput1->w.ypInput2->z.w)	(pInput1->x.zpInput2->z.x)+(pInput1->y.zpInput2->z.y)+(pInput1->z.zpInput2->z.z)+(pInput1->w.zpInput2->z.w)	(pInput1->x.wpInput2->z.x)+(pInput1->y.wpInput2->z.y)+(pInput1->z.wpInput2->z.z)+(pInput1->w.wpInput2->z.w)
w	(pInput1->x.xpInput2->w.x)+(pInput1->y.xpInput2->w.y)+(pInput1->z.xpInput2->z.z)+(pInput1->w.xpInput2->w.w)	(pInput1->x.ypInput2->w.x)+(pInput1->y.ypInput2->w.y)+(pInput1->z.ypInput2->z.z)+(pInput1->w.ypInput2->w.w)	(pInput1->x.zpInput2->w.x)+(pInput1->y.zpInput2->w.y)+(pInput1->z.zpInput2->z.z)+(pInput1->w.zpInput2->w.w)	(pInput1->x.wpInput2->w.x)+(pInput1->y.wpInput2->w.y)+(pInput1->z.wpInput2->z.z)+(pInput1->w.wpInput2->w.w)

Note: This function is optimized to reduce variable usage by storing into the output without buffering. Do not use the output matrix as an input matrix.

Parameters

pInput1	Matrix to multiply from
pInput2	Matrix to multiply against

See also: Multiply(const Matrix4D_t *)

◆ Multiply() [6/8]

void BURGER_API Burger::Matrix4D_t::Multiply ( float fScale )

noexcept

Perform a matrix multiply by a scalar.

Multiply a scalar value to every element in the matrix.

Use this formula to create the final matrix

	x	y	z	w
x	xx*fInput	xy*fInput	xz*fInput	xw*fInput
y	yx*fInput	yy*fInput	yz*fInput	yw*fInput
z	zx*fInput	zy*fInput	zz*fInput	zw*fInput
w	wx*fInput	wy*fInput	wz*fInput	ww*fInput

Parameters

fScale Scalar value to multiply all values by

See also: Multiply(const Matrix4D_t *,float) or Multiply3x3(float)

◆ Multiply() [7/8]

void BURGER_API Burger::Matrix4D_t::Multiply	(	float	fScaleX,
		float	fScaleY,
		float	fScaleZ )

noexcept

Multiply by an X,Y and Z scale.

Using only the x.x, y.y, and z.z components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix

Use this formula to create the final matrix

	x	y	z	w
x	(x.x*fScaleX)	(x.y*fScaleX)	(x.z*fScaleX)	(x.w*fScaleX)
y	(y.x*fScaleY)	(y.y*fScaleY)	(y.z*fScaleY)	(y.w*fScaleY)
z	(z.x*fScaleZ)	(z.y*fScaleZ)	(z.z*fScaleZ)	(z.w*fScaleZ)
w	(w.x*1.0f)	(w.y*1.0f)	(w.z*1.0f)	(w.w*1.0f)

Note: Terms with a multiply by 1.0f perform no action in the implementation.

Parameters

fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value

See also: Multiply(const Matrix4D_t *,float,float,float), TransposeMultiply(float,float,float) or SetScale(float,float,float)

◆ Multiply() [8/8]

void BURGER_API Burger::Matrix4D_t::Multiply	(	float	fScaleX,
		float	fScaleY,
		float	fScaleZ,
		float	fScaleW )

noexcept

Multiply by an X, Y, Z and W scale.

Using only the x.x, y.y, z.z and w.w components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix

Use this formula to create the final matrix

	x	y	z	w
x	(x.x*fScaleX)	(x.y*fScaleX)	(x.z*fScaleX)	(x.w*fScaleX)
y	(y.x*fScaleY)	(y.y*fScaleY)	(y.z*fScaleY)	(y.w*fScaleY)
z	(z.x*fScaleZ)	(z.y*fScaleZ)	(z.z*fScaleZ)	(z.w*fScaleZ)
w	(w.x*fScaleW)	(w.y*fScaleW)	(w.z*fScaleW)	(w.w*fScaleW)

Parameters

fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value
fScaleW	W scale value

See also: Multiply(const Matrix4D_t *,float,float,float,float), TransposeMultiply(float,float,float,float) or SetScale(float,float,float,float)

◆ Multiply3x3() [1/2]

void BURGER_API Burger::Matrix4D_t::Multiply3x3	(	const Matrix4D_t *	pInput,
		float	fInput )

noexcept

Perform a 3x3 matrix multiply by a scalar.

Multiply a scalar value to the 3x3 subset of a matrix (The equivalent of W equaling 1.0f)

Use this formula to create the final matrix

	x	y	z	w
x	pInput->xx*fInput	pInput->xy*fInput	pInput->xz*fInput	pInput->xw*1.0f
y	pInput->yx*fInput	pInput->yy*fInput	pInput->yz*fInput	pInput->yw*1.0f
z	pInput->zx*fInput	pInput->zy*fInput	pInput->zz*fInput	pInput->zw*1.0f
w	pInput->wx*1.0f	pInput->wy*1.0f	pInput->wz*1.0f	pInput->ww*1.0f

Note: The terms where the value is multiplied by 1.0f are actually not performed and are replaced with a value copy since mathematically they perform the same action.

Parameters

pInput	Pointer to Matrix to multiply
fInput	Scalar value to multiply all values by

See also: Multiply3x3(float) or Multiply(float)

◆ Multiply3x3() [2/2]

void BURGER_API Burger::Matrix4D_t::Multiply3x3 ( float fInput )

noexcept

Perform a 3x3 matrix multiply by a scalar.

Multiply a scalar value to the 3x3 subset of a matrix (The equivalent of W equaling 1.0f)

Use this formula to create the final matrix

	x	y	z	w
x	xx*fInput	xy*fInput	xz*fInput	xw*1.0f
y	yx*fInput	yy*fInput	yz*fInput	yw*1.0f
z	zx*fInput	zy*fInput	zz*fInput	zw*1.0f
w	wx*1.0f	wy*1.0f	wz*1.0f	ww*1.0f

Note: The terms where the value is multiplied by 1.0f are actually not performed and are replaced with a value copy since mathematically they perform the same action.

Parameters

fInput Scalar value to multiply all values by

See also: Multiply3x3(const Matrix4D_t *,float) or Multiply(float)

◆ operator const float *()

Burger::Matrix4D_t::operator const float * ( ) const

inlinenoexcept

Convert to a const float pointer.

This convenience operator converts the Matrix4D_t into a float pointer to pass to other APIs that treat this as an array of 32 bit floats.

Returns: The pointer to the object typecast as a (const float *)

◆ PerspectiveFovLH()

void BURGER_API Burger::Matrix4D_t::PerspectiveFovLH	(	float	fFieldOfViewY,
		float	fAspect,
		float	fNear,
		float	fFar )

noexcept

Create a 4D perspective matrix.

Using a field of view, an aspect ratio (width/height) and a near/far range, create a left handed projection matrix.

fYScale = 1.0f / tan(fFieldOfViewY*0.5f);

	x	y	z	w
x	fYScale/fAspect	0	0	0
y	0	fYScale	0	0
z	0	0	fFar/(fFar-fNear)	1
w	0	0	(-fNear * fFar) / (fFar-fNear)	0

Note: This is a drop in replacement for the Windows function [D3DXMatrixPerspectiveFovLH()] (http://msdn.microsoft.com/en-us/library/bb205350(VS.85).aspx)

Parameters

fFieldOfViewY	Angle of the field of view in radians
fAspect	Aspect ratio of the screen
fNear	Near clip plane
fFar	Far clip plane

See also: PerspectiveFovRH()

◆ PerspectiveFovRH()

void BURGER_API Burger::Matrix4D_t::PerspectiveFovRH	(	float	fFieldOfViewY,
		float	fAspect,
		float	fNear,
		float	fFar )

noexcept

Create a 4D perspective matrix.

Using a field of view, an aspect ratio (width/height) and a near/far range, create a right handed projection matrix.

fYScale = 1.0f / tan(fFieldOfViewY*0.5f);

	x	y	z	w
x	fYScale/fAspect	0	0	0
y	0	fYScale	0	0
z	0	0	fFar/(fNear-fFar)	-1
w	0	0	(fNear * fFar) / (fNear-fFar)	0

Note: This is a drop in replacement for the Windows function [D3DXMatrixPerspectiveFovRH()] (http://msdn.microsoft.com/en-us/library/bb205351(v=vs.85).aspx)

Parameters

fFieldOfViewY	Angle of the field of view in radians
fAspect	Aspect ratio of the screen
fNear	Near clip plane
fFar	Far clip plane

See also: PerspectiveFovLH()

◆ Pitch()

void BURGER_API Burger::Matrix4D_t::Pitch ( float fPitch )

noexcept

Rotate a matrix in the X axis (Pitch)

Given a X angle in radians, rotate the matrix accordingly

fCos = get_cosine(fPitch); fSin = get_sine(fPitch);

	x	y	z	w
x	x.x	x.y	x.z	x.w
y	(z.xfSin)+(y.xfCos)	(z.yfSin)+(y.yfCos)	(z.zfSin)+(y.zfCos)	(z.wfSin)+(y.wfCos)
z	(z.xfCos)-(y.xfSin)	(z.yfCos)-(y.yfSin)	(z.zfCos)-(y.zfSin)	(z.wfCos)-(y.wfSin)
w	w.x	w.y	w.z	w.w

Parameters

fPitch Angle in radians to pitch the matrix

See also: Yaw(float) or Roll(float)

◆ Roll()

void BURGER_API Burger::Matrix4D_t::Roll ( float fRoll )

noexcept

Rotate a matrix in the Z axis (Roll)

Given a Z angle in radians, rotate the matrix accordingly

fCos = get_cosine(fRoll); fSin = get_sine(fRoll);

	x	y	z	w
x	(y.xfSin)+(x.xfCos)	(y.yfSin)+(x.yfCos)	(y.zfSin)+(x.zfCos)	(y.wfSin)+(x.wfCos)
y	(y.xfCos)-(x.xfSin)	(y.yfCos)-(x.yfSin)	(y.zfCos)-(x.zfSin)	(y.wfCos)-(x.wfSin)
z	z.x	z.y	z.z	z.w
w	w.x	w.y	w.z	w.w

Parameters

fRoll Angle in radians to roll the matrix

See also: Yaw(float) or Pitch(float)

◆ Rotate()

void BURGER_API Burger::Matrix4D_t::Rotate	(	float	fRadians,
		float	fX,
		float	fY,
		float	fZ )

noexcept

Rotate a matrix in an arbitrary axis.

Given a vector to determine direction and an angle in radians, rotate the matrix accordingly

Note: This is a replacement for glRotate()

Parameters

fRadians	Angle in radians to roll the matrix
fX	X value of the vector
fY	Y value of the vector
fZ	Z value of the vector

See also: Yaw(float), Pitch(float) or Roll(float)

◆ Set() [1/3]

void BURGER_API Burger::Matrix4D_t::Set ( const FixedMatrix4D_t * pInput )

noexcept

Convert a fixed point matrix into a floating point matrix.

Using fixed_to_float(float *,Fixed32), convert all of the entries from a 4x4 16.16 fixed point matrix into a floating point matrix

Parameters

pInput Pointer to a valid FixedMatrix4D_t for conversion

See also: fixed_to_float(float *,Fixed32)

◆ Set() [2/3]

void BURGER_API Burger::Matrix4D_t::Set ( const Matrix3D_t * pInput )

noexcept

Copy a Matrix3D_t to a Matrix4D_t.

Copy a 3x3 matrix into this one.

	x	y	z	w
x	pInput->x.x	pInput->x.y	pInput->x.z	0
y	pInput->y.x	pInput->y.y	pInput->y.z	0
z	pInput->z.x	pInput->z.y	pInput->z.z	0
w	0	0	0	1

Parameters

pInput Pointer to a valid Matrix3D_t for copying

See also: Set(const Matrix4D_t *) or Matrix3D_t::Set(const Matrix4D_t *)

◆ Set() [3/3]

void BURGER_API Burger::Matrix4D_t::Set ( const Matrix4D_t * pInput )

noexcept

Copy the matrix.

Copy a matrix into this one

Parameters

pInput Pointer to a valid Matrix4D_t for copying

See also: Identity() or Zero()

◆ SetFromQuaternion()

void BURGER_API Burger::Matrix4D_t::SetFromQuaternion ( const Vector4D_t * pInput )

noexcept

Convert a quaternion to a 4x4 matrix.

Here's the resulting matrix of math used using terms from the input quaternion

	x	y	z	w
x	1-(2yy+2zz)	2xy+2wz	2xz-2wy	0
y	2xy-2wz	1-(2xx+2zz)	2yz+2wx	0
z	2xz+2wy	2yz-2wx	1-(2xx+2yy)	0
w	0	0	0	1

Parameters

pInput Pointer to a normalized quaternion

See also: Matrix3D_t::SetFromQuaternion(const Vector4D_t *pInput) or TransposeSetFromQuaternion(const Vector4D_t *pInput)

◆ SetFrustum()

void BURGER_API Burger::Matrix4D_t::SetFrustum	(	float	fLeft,
		float	fRight,
		float	fBottom,
		float	fTop,
		float	fNear,
		float	fFar )

noexcept

Create a transposed 4D projection matrix.

Using a frustum, create a projection matrix in a format that OpenGL can use directly. If a DirectX version is desired, call TransposeSetFrustum() instead.

	x	y	z	w
x	(fNear * 2.0f) / (fRight - fLeft)	0	0	0
y	0	(fNear * 2.0f) / (fTop - fBottom)	0	0
z	(fRight + fLeft) / (fRight - fLeft)	(fTop + fBottom) / (fTop - fBottom)	-(fFar+fNear) / (fFar - fNear)	-1
w	0	0	-(2.0f * fFar * fNear) / (fFar -fNear)	0

Note: This is functional duplicate of glFrustum()

Parameters

fLeft	Leftmost X coordinate
fRight	Rightmost X coordinate
fBottom	Bottommost Y coordinate
fTop	Topmost Y coordinate
fNear	Near clip plane
fFar	Far clip plane

See also: SetOrtho(), SetPerspective() or TransposeSetFrustum()

◆ SetOrtho()

void BURGER_API Burger::Matrix4D_t::SetOrtho	(	float	fLeft,
		float	fRight,
		float	fBottom,
		float	fTop,
		float	fNear,
		float	fFar )

noexcept

Create a transposed orthogonal 4D projection matrix.

Using a frustum, create an orthogonal matrix in a format that OpenGL can use directly. If a DirectX version is desired, call TransposeSetOrtho() instead.

	x	y	z	w
x	2.0f / (fRight - fLeft)	0	0	0
y	0	2.0f / (fTop - fBottom)	0	0
z	0	0	-2.0f / (fFar - fNear)	0
w	-(fRight + fLeft) / (fRight - fLeft)	-(fTop + fBottom) / (fTop - fBottom)	-(Far + fNear) / (fFar - fNear)	1

Parameters

fLeft	Leftmost X coordinate
fRight	Rightmost X coordinate
fBottom	Bottommost Y coordinate
fTop	Topmost Y coordinate
fNear	Near clip plane
fFar	Far clip plane

See also: SetFrustum() or TransposeSetOrtho()

◆ SetPerspective()

void BURGER_API Burger::Matrix4D_t::SetPerspective	(	float	fFieldOfViewY,
		float	fAspect,
		float	fNear,
		float	fFar )

noexcept

Create a 4D perspective matrix.

Using a field of view and an aspect ratio (x/y), create a projection matrix in a format that OpenGL can use directly. If a DirectX version is desired, call TransposeSetPerspective() instead.

f = 1.0f / tan((fFieldOfViewY*g_fDegreesToRadians)*0.5f);

	x	y	z	w
x	f/fAspect	0	0	0
y	0	f	0	0
z	0	0	(fFar+fNear) / (fNear-fFar)	-1
w	0	0	(2.0f * fFar * fNear) / (fNear-fFar)	0

Note: This is functional duplicate of gluPerspective()

Parameters

fFieldOfViewY	Angle of the field of view in degrees
fAspect	Aspect ratio of the screen
fNear	Near clip plane
fFar	Far clip plane

See also: SetOrtho(), SetFrustum() or TransposeSetPerspective()

◆ SetPitch()

void BURGER_API Burger::Matrix4D_t::SetPitch ( float fPitch )

noexcept

Initialize a rotation matrix with radians for pitch (X)

float sx = get_sine(fPitch);

float cx = get_cosine(fPitch);

Burger::get_cosine

float get_cosine(float fInput) noexcept

Return the cosine from radians.

Definition brsinecosine.cpp:1203

Burger::get_sine

float get_sine(float fInput) noexcept

Return the sine from radians.

Definition brsinecosine.cpp:969

Burger::conditional

Select a type based if the conditional is true or false.

Definition burger.h:3178

	x	y	z	w
x	1	0	0	0
y	0	cx	-sx	0
z	0	sx	cx	0
w	0	0	0	1

Parameters

fPitch Pitch of the X in radians

See also: TransposeSetPitch(float), SetXYZ(float,float,float), SetYaw(float) and SetRoll(float)

◆ SetRoll()

void BURGER_API Burger::Matrix4D_t::SetRoll ( float fRoll )

noexcept

Initialize a rotation matrix with radians for roll (Z)

float sz = get_sine(fRoll);

float cz = get_cosine(fRoll);

	x	y	z	w
x	cz	-sz	0	0
y	sz	cz	0	0
z	0	0	1	0
w	0	0	0	1

Parameters

fRoll Roll of the Z in radians

See also: TransposeSetRoll(float), SetXYZ(float,float,float), SetYaw(float) and SetPitch(float)

◆ SetScale() [1/2]

void BURGER_API Burger::Matrix4D_t::SetScale	(	float	fX,
		float	fY,
		float	fZ )

noexcept

Create a 4D scale matrix.

Sets the x.x, y.y and z.z components to the input values, w.w is set to 1.0f and all others are set to 0.0f

	x	y	z	w
x	fX	0	0	0
y	0	fY	0	0
z	0	0	fZ	0
w	0	0	0	1

Parameters

fX	new x.x component
fY	new y.y component
fZ	new z.z component

See also: Identity(void) and SetScale(float,float,float,float)

◆ SetScale() [2/2]

void BURGER_API Burger::Matrix4D_t::SetScale	(	float	fX,
		float	fY,
		float	fZ,
		float	fW )

noexcept

Create a 4D scale matrix.

Sets the x.x, y.y, z.z and w.w components to the input values and all others are set to 0.0f

	x	y	z	w
x	fX	0	0	0
y	0	fY	0	0
z	0	0	fZ	0
w	0	0	0	fW

Parameters

fX	new x.x component
fY	new y.y component
fZ	new z.z component
fW	new w.w component

See also: Identity(void) and SetScale(float,float,float)

◆ SetTranslate()

void BURGER_API Burger::Matrix4D_t::SetTranslate	(	float	fX,
		float	fY,
		float	fZ )

noexcept

Create a 4D translation matrix.

Sets the w row to fX, fY and fZ and the rest of the values to that of an identity matrix.

	x	y	z	w
x	1	0	0	0
y	0	1	0	0
z	0	0	1	0
w	fX	fY	fZ	1

Parameters

fX	new w.x component
fY	new w.y component
fZ	new w.z component

See also: Identity(void)

◆ SetWColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::SetWColumn ( const Vector3D_t * pInput )

noexcept

Set the W column of a matrix.

Overwrite the W column of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	pInput->x
y	yx	yy	yz	pInput->y
z	zx	zy	zz	pInput->z
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new W column

◆ SetWColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::SetWColumn ( const Vector4D_t * pInput )

noexcept

Set the W column of a matrix.

Overwrite the W column of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	pInput->x
y	yx	yy	yz	pInput->y
z	zx	zy	zz	pInput->z
w	wx	wy	wz	pInput->w

Parameters

pInput Pointer to a Vector4D_t structure that has the new W column

◆ SetWRow() [1/2]

void BURGER_API Burger::Matrix4D_t::SetWRow ( const Vector3D_t * pInput )

noexcept

Set the W row of a matrix.

Overwrite the W row of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	xw
y	yx	yy	yz	yw
z	zx	zy	zz	zw
w	pInput->x	pInput->y	pInput->z	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new W row

◆ SetWRow() [2/2]

void BURGER_API Burger::Matrix4D_t::SetWRow ( const Vector4D_t * pInput )

noexcept

Set the W row of a matrix.

Overwrite the W row of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	xw
y	yx	yy	yz	yw
z	zx	zy	zz	zw
w	pInput->x	pInput->y	pInput->z	pInput->w

Parameters

pInput Pointer to a Vector4D_t structure that has the new W row

◆ SetXColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::SetXColumn ( const Vector3D_t * pInput )

noexcept

Set the X column of a matrix.

Overwrite the X column of the matrix with the input vector

	x	y	z	w
x	pInput->x	xy	xz	xw
y	pInput->y	yy	yz	yw
z	pInput->z	zy	zz	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new X column

◆ SetXColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::SetXColumn ( const Vector4D_t * pInput )

noexcept

Set the X column of a matrix.

Overwrite the X column of the matrix with the input vector

	x	y	z	w
x	pInput->x	xy	xz	xw
y	pInput->y	yy	yz	yw
z	pInput->z	zy	zz	zw
w	pInput->w	wy	wz	ww

Parameters

pInput Pointer to a Vector4D_t structure that has the new X column

◆ SetXRow() [1/2]

void BURGER_API Burger::Matrix4D_t::SetXRow ( const Vector3D_t * pInput )

noexcept

Set the X row of a matrix.

Overwrite the X row of the matrix with the input vector

	x	y	z	w
x	pInput->x	pInput->y	pInput->z	xw
y	yx	yy	yz	yw
z	zx	zy	zz	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new X row

◆ SetXRow() [2/2]

void BURGER_API Burger::Matrix4D_t::SetXRow ( const Vector4D_t * pInput )

noexcept

Set the X row of a matrix.

Overwrite the X row of the matrix with the input vector

	x	y	z	w
x	pInput->x	pInput->y	pInput->z	pInput->w
y	yx	yy	yz	yw
z	zx	zy	zz	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector4D_t structure that has the new X row

◆ SetXYZ()

void BURGER_API Burger::Matrix4D_t::SetXYZ	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a rotation matrix in the order of X, Y and Z.

Initialize a rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of X, Y and then Z.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	(-sysxcz)+(cx*-sz)	(-sycxcz)+(-sx*-sz)	0
y	cy*sz	(cxcz)+(-sysx*sz)	(-sxcx)+(cysx*-sz)	0
z	sy	cy*sx	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: TransposeSetXYZ(float,float,float), SetYaw(float), SetPitch(float), and SetRoll(float)

◆ SetXZY()

void BURGER_API Burger::Matrix4D_t::SetXZY	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a rotation matrix in the order of X, Z and Y.

Initialize a rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of X, Z and then Y.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	(cx-szcy)+(-sy*sx)	(-sx-szcy)+(-sy*cx)	0
y	sz	cx*cz	-sx*cz	0
z	sy*cz	(sxcy)+(sycx*-sz)	(cxcy)+(sy-sx*-sz)	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: TransposeSetXZY(float,float,float), SetYaw(float), SetPitch(float), and SetRoll(float)

◆ SetYaw()

void BURGER_API Burger::Matrix4D_t::SetYaw ( float fYaw )

noexcept

Initialize a rotation matrix with radians for yaw (Y)

float sy = get_sine(fYaw);

float cy = get_cosine(fYaw);

	x	y	z	w
x	cy	0	-sy	0
y	0	1	0	0
z	sy	0	cy	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians

See also: TransposeSetYaw(float), SetXYZ(float,float,float), SetPitch(float) and SetRoll(float)

◆ SetYColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::SetYColumn ( const Vector3D_t * pInput )

noexcept

Set the Y column of a matrix.

Overwrite the Y column of the matrix with the input vector

	x	y	z	w
x	xx	pInput->x	xz	xw
y	yx	pInput->y	yz	yw
z	zx	pInput->z	zz	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new Y column

◆ SetYColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::SetYColumn ( const Vector4D_t * pInput )

noexcept

Set the Y column of a matrix.

Overwrite the Y column of the matrix with the input vector

	x	y	z	w
x	xx	pInput->x	xz	xw
y	yx	pInput->y	yz	yw
z	zx	pInput->z	zz	zw
w	wx	pInput->w	wz	ww

Parameters

pInput Pointer to a Vector4D_t structure that has the new Y column

◆ SetYRow() [1/2]

void BURGER_API Burger::Matrix4D_t::SetYRow ( const Vector3D_t * pInput )

noexcept

Set the Y row of a matrix.

Overwrite the Y row of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	xw
y	pInput->x	pInput->y	pInput->z	yw
z	zx	zy	zz	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new Y row

◆ SetYRow() [2/2]

void BURGER_API Burger::Matrix4D_t::SetYRow ( const Vector4D_t * pInput )

noexcept

Set the Y row of a matrix.

Overwrite the Y row of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	xw
y	pInput->x	pInput->y	pInput->z	pInput->w
z	zx	zy	zz	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector4D_t structure that has the new Y row

◆ SetYXZ()

void BURGER_API Burger::Matrix4D_t::SetYXZ	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a rotation matrix in the order of Y, X and Z.

Initialize a rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Y, X and then Z.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	(cycz)+(sy-sx*-sz)	cx*-sz	(-sycz)+(cy-sx*-sz)	0
y	(sy-sxcz)+(cy*sz)	cx*cz	(cy-sxcz)+(-sy*sz)	0
z	sy*cx	sx	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: TransposeSetYXZ(float,float,float), SetYaw(float), SetPitch(float), and SetRoll(float)

◆ SetYZX()

void BURGER_API Burger::Matrix4D_t::SetYZX	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a rotation matrix in the order of Y, Z and X.

Initialize a rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Y, Z and then X.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	-sz	-sy*cz	0
y	(cyszcx)+(sy*-sx)	cx*cz	(-syszcx)+(cy*-sx)	0
z	(sycx)+(cysx*sz)	sx*cz	(cycx)+(-sysx*sz)	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: TransposeSetYZX(float,float,float), SetYaw(float), SetPitch(float), and SetRoll(float)

◆ SetZColumn() [1/2]

void BURGER_API Burger::Matrix4D_t::SetZColumn ( const Vector3D_t * pInput )

noexcept

Set the Z column of a matrix.

Overwrite the Z column of the matrix with the input vector

	x	y	z	w
x	xx	xy	pInput->x	xw
y	yx	yy	pInput->y	yw
z	zx	zy	pInput->z	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new Z column

◆ SetZColumn() [2/2]

void BURGER_API Burger::Matrix4D_t::SetZColumn ( const Vector4D_t * pInput )

noexcept

Set the Z column of a matrix.

Overwrite the Z column of the matrix with the input vector

	x	y	z	w
x	xx	xy	pInput->x	xw
y	yx	yy	pInput->y	yw
z	zx	zy	pInput->z	zw
w	wx	wy	pInput->w	ww

Parameters

pInput Pointer to a Vector4D_t structure that has the new Z column

◆ SetZRow() [1/2]

void BURGER_API Burger::Matrix4D_t::SetZRow ( const Vector3D_t * pInput )

noexcept

Set the Z row of a matrix.

Overwrite the Z row of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	xw
y	yx	yy	yz	yw
z	pInput->x	pInput->y	pInput->z	zw
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector3D_t structure that has the new Z row

◆ SetZRow() [2/2]

void BURGER_API Burger::Matrix4D_t::SetZRow ( const Vector4D_t * pInput )

noexcept

Set the Z row of a matrix.

Overwrite the Z row of the matrix with the input vector

	x	y	z	w
x	xx	xy	xz	xw
y	yx	yy	yz	yw
z	pInput->x	pInput->y	pInput->z	pInput->w
w	wx	wy	wz	ww

Parameters

pInput Pointer to a Vector4D_t structure that has the new Z row

◆ SetZXY()

void BURGER_API Burger::Matrix4D_t::SetZXY	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a rotation matrix in the order of Z, X and Y.

Initialize a rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Z, X and then Y.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	(czcy)+(-sysx*sz)	(-szcy)+(-sysx*cz)	-sy*cx	0
y	cx*sz	cx*cz	-sx	0
z	(sxszcy)+(sy*cz)	(sxczcy)+(sy*-sz)	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: TransposeSetZXY(float,float,float), SetYaw(float), SetPitch(float), and SetRoll(float)

◆ SetZYX()

void BURGER_API Burger::Matrix4D_t::SetZYX	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a rotation matrix in the order of Z, Y and X.

Initialize a rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Z, Y and then X.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	cy*-sz	-sy	0
y	(szcx)+(sy-sx*cz)	(czcx)+(sy-sx*-sz)	cy*-sx	0
z	(syczcx)+(sx*sz)	(sy-szcx)+(sx*cz)	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: TransposeSetZYX(float,float,float), SetYaw(float), SetPitch(float), and SetRoll(float)

◆ Transform() [1/4]

void BURGER_API Burger::Matrix4D_t::Transform ( Vector3D_t * pInput ) const

noexcept

Multiply a vector by a matrix.

Transform the point by the matrix

x	y	z
(xxx)+(xyy)+(xz*z)+(xw)	(yxx)+(yyy)+(yz*z)+(yw)	(zxx)+(zyy)+(zz*z)+(zw)

Parameters

pInput Pointer to a Vector3D_t to transform against this matrix

See also: Transform(Vector3D_t *,const Vector3D_t *) const or TransposeTransform(Vector3D_t *) const

◆ Transform() [2/4]

void BURGER_API Burger::Matrix4D_t::Transform	(	Vector3D_t *	pOutput,
		const Vector3D_t *	pInput ) const

noexcept

Multiply a vector by a matrix.

Transform the point by the matrix and store the result in an uninitialized Vector3D_t

x	y	z
(xxx)+(xyy)+(xz*z)+(xw)	(yxx)+(yyy)+(yz*z)+(yw)	(zxx)+(zyy)+(zz*z)+(zw)

Parameters

pInput	Pointer to a Vector3D_t to transform against this matrix
pOutput	Pointer to an uninitialized Vector3D_t to store the result

See also: Transform(Vector3D_t *) const or TransposeTransform(Vector3D_t *,const Vector3D_t *) const

◆ Transform() [3/4]

void BURGER_API Burger::Matrix4D_t::Transform ( Vector4D_t * pInput ) const

noexcept

Multiply a vector by a matrix.

Transform the point by the matrix

x	y	z	w
(xxx)+(xyy)+(xzz)+(xww)	(yxx)+(yyy)+(yzz)+(yww)	(zxx)+(zyy)+(zzz)+(zww)	(wxx)+(wyy)+(wzz)+(www)

Parameters

pInput Pointer to a Vector4D_t to transform against this matrix

See also: Transform(Vector4D_t *,const Vector4D_t *) const or TransposeTransform(Vector4D_t *) const

◆ Transform() [4/4]

void BURGER_API Burger::Matrix4D_t::Transform	(	Vector4D_t *	pOutput,
		const Vector4D_t *	pInput ) const

noexcept

Multiply a vector by a matrix.

Transform the point by the matrix and store the result in an uninitialized Vector4D_t

x	y	z	w
(xxx)+(xyy)+(xzz)+(xww)	(yxx)+(yyy)+(yzz)+(yww)	(zxx)+(zyy)+(zzz)+(zww)	(wxx)+(wyy)+(wzz)+(www)

Parameters

pInput	Pointer to a Vector4D_t to transform against this matrix
pOutput	Pointer to an uninitialized Vector4D_t to store the result

See also: Transform(Vector4D_t *) const or TransposeTransform(Vector4D_t *,const Vector4D_t *) const

◆ Transform3x3() [1/2]

void BURGER_API Burger::Matrix4D_t::Transform3x3 ( Vector3D_t * pInput ) const

noexcept

Multiply a vector by a matrix without adding W.

Transform the point by the matrix only using the x, y and z terms

x	y	z
(xxx)+(xyy)+(xz*z)	(yxx)+(yyy)+(yz*z)	(zxx)+(zyy)+(zz*z)

Parameters

pInput Pointer to a Vector3D_t to transform against this matrix

See also: Transform3x3(Vector3D_t *,const Vector3D_t *) const or TransposeTransform3x3(Vector3D_t *) const

◆ Transform3x3() [2/2]

void BURGER_API Burger::Matrix4D_t::Transform3x3	(	Vector3D_t *	pOutput,
		const Vector3D_t *	pInput ) const

noexcept

Multiply a vector by a matrix without adding W.

Transform the point by the matrix only using the x, y and z terms and store the result in an uninitialized Vector3D_t

|x|y|z|w| |:–:|:–:|:–:|:–:| |(xx*x)+(xy*y)+(xz*z)|(yx*x)+(yy*y)+(yz*z)|(zx*x)+(zy*y)+(zz*z)|

Parameters

pInput	Pointer to a Vector3D_t to transform against this matrix
pOutput	Pointer to an uninitialized Vector3D_t to store the result

See also: Transform3x3(Vector3D_t *) const or TransposeTransform3x3(Vector3D_t*,const Vector3D_t *) const

◆ Translate()

void BURGER_API Burger::Matrix4D_t::Translate	(	float	fX,
		float	fY,
		float	fZ )

noexcept

Multiply the matrix by a generated translation matrix.

With an X, Y and Z for translation, apply a matrix multiply if a matrix was generated with SetTranslate(float,float,float).

	x	y	z	w
x	x.x	x.y	x.z	x.w
y	y.x	y.y	y.z	y.w
z	z.x	z.y	z.z	z.w
w	(x.xfX)+(y.xfY)+(z.x*fZ)+w.x	(x.yfX)+(y.yfY)+(z.y*fZ)+w.y	(x.zfX)+(y.zfY)+(z.z*fZ)+w.z	(x.wfX)+(y.wfY)+(z.w*fZ)+w.w

Parameters

fX	X value of the temp translation matrix
fY	Y value of the temp translation matrix
fZ	Z value of the temp translation matrix

See also: TransposeTranslate(float,float,float) or SetTranslate(float,float,float)

◆ Transpose() [1/2]

void BURGER_API Burger::Matrix4D_t::Transpose ( const Matrix4D_t * pInput )

noexcept

Perform a matrix transposition.

Swap the entries to convert a right handed matrix to a left handed one and vice versa. The other three entries are copied. The destination matrix is assumed to be uninitialized.

	x	y	z	w
x	xx	yx	zx	wx
y	xy	yy	zy	wy
z	xz	yz	zz	wz
w	xw	yw	zw	ww

Note: This function is optimized to write the new matrix in sequential order in the event this function is writing to write combined memory.

See also: Transpose(void)

◆ Transpose() [2/2]

void BURGER_API Burger::Matrix4D_t::Transpose ( void )

noexcept

Perform a matrix transposition.

Swap the entries to convert a right handed matrix to a left handed one and vice versa. The matrix is assumed to be already initialized.

	x	y	z	w
x	xx	yx	zx	wx
y	xy	yy	zy	wy
z	xz	yz	zz	wz
w	xw	yw	zw	ww

See also: Transpose(const Matrix4D_t *)

◆ TransposeMultiply() [1/4]

void BURGER_API Burger::Matrix4D_t::TransposeMultiply	(	const Matrix4D_t *	pInput,
		float	fScaleX,
		float	fScaleY,
		float	fScaleZ )

noexcept

Multiply by an X,Y and Z scale into a copy.

Using only the x.x, y.y, and z.z components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix and store the result in this Matrix4D_t

Use this formula to create the final matrix

	x	y	z	w
x	(pInput->x.x*fScaleX)	(pInput->x.y*fScaleY)	(pInput->x.z*fScaleZ)	(pInput->x.w*1.0f)
y	(pInput->y.x*fScaleX)	(pInput->y.y*fScaleY)	(pInput->y.z*fScaleZ)	(pInput->y.w*1.0f)
z	(pInput->z.x*fScaleX)	(pInput->z.y*fScaleY)	(pInput->z.z*fScaleZ)	(pInput->z.w*1.0f)
w	(pInput->w.x*fScaleX)	(pInput->w.y*fScaleY)	(pInput->w.z*fScaleZ)	(pInput->w.w*1.0f)

Note: Terms with a multiply by 1.0f perform a copy operation instead of a multiply in the implementation.

Parameters

pInput	Pointer to a valid Matrix4D_t to apply the scale to
fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value

See also: TransposeMultiply(float,float,float), Multiply(const Matrix4D_t*,float,float,float) or SetScale(float,float,float)

◆ TransposeMultiply() [2/4]

void BURGER_API Burger::Matrix4D_t::TransposeMultiply	(	const Matrix4D_t *	pInput,
		float	fScaleX,
		float	fScaleY,
		float	fScaleZ,
		float	fScaleW )

noexcept

Multiply by an X, Y, Z, and W scale.

Using only the x.x, y.y, z.z and w.w components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix and store the result in this Matrix4D_t

Use this formula to create the final matrix

	x	y	z	w
x	(pInput->x.x*fScaleX)	(pInput->x.y*fScaleY)	(pInput->x.z*fScaleZ)	(pInput->x.w*fScaleW)
y	(pInput->y.x*fScaleX)	(pInput->y.y*fScaleY)	(pInput->y.z*fScaleZ)	(pInput->y.w*fScaleW)
z	(pInput->z.x*fScaleX)	(pInput->z.y*fScaleY)	(pInput->z.z*fScaleZ)	(pInput->z.w*fScaleW)
w	(pInput->w.x*fScaleX)	(pInput->w.y*fScaleY)	(pInput->w.z*fScaleZ)	(pInput->w.w*fScaleW)

Parameters

pInput	Pointer to a valid Matrix4D_t to apply the scale to
fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value
fScaleW	W scale value

See also: TransposeMultiply(float,float,float,float), Multiply(const Matrix4D_t*,float,float,float,float) or SetScale(float,float,float,float)

◆ TransposeMultiply() [3/4]

void BURGER_API Burger::Matrix4D_t::TransposeMultiply	(	float	fScaleX,
		float	fScaleY,
		float	fScaleZ )

noexcept

Multiply by an X,Y and Z scale.

Using only the x.x, y.y, and z.z components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix

Use this formula to create the final matrix

	x	y	z	w
x	(x.x*fScaleX)	(x.y*fScaleY)	(x.z*fScaleZ)	(x.w*1.0f)
y	(y.x*fScaleX)	(y.y*fScaleY)	(y.z*fScaleZ)	(y.w*1.0f)
z	(z.x*fScaleX)	(z.y*fScaleY)	(z.z*fScaleZ)	(z.w*1.0f)
w	(w.x*fScaleX)	(w.y*fScaleY)	(w.z*fScaleZ)	(w.w*1.0f)

Note: Terms with a multiply by 1.0f perform no action in the implementation.

Parameters

fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value

See also: TransposeMultiply(const Matrix4D_t *,float,float,float), Multiply(float,float,float) or SetScale(float,float,float)

◆ TransposeMultiply() [4/4]

void BURGER_API Burger::Matrix4D_t::TransposeMultiply	(	float	fScaleX,
		float	fScaleY,
		float	fScaleZ,
		float	fScaleW )

noexcept

Multiply by an X, Y, Z, and W scale.

Using only the x.x, y.y, z.z and w.w components of a simulated matrix, perform a matrix multiply quickly that would yield a multiplication vs a scale matrix

Use this formula to create the final matrix

	x	y	z	w
x	(x.x*fScaleX)	(x.y*fScaleY)	(x.z*fScaleZ)	(x.w*fScaleW)
y	(y.x*fScaleX)	(y.y*fScaleY)	(y.z*fScaleZ)	(y.w*fScaleW)
z	(z.x*fScaleX)	(z.y*fScaleY)	(z.z*fScaleZ)	(z.w*fScaleW)
w	(w.x*fScaleX)	(w.y*fScaleY)	(w.z*fScaleZ)	(w.w*fScaleW)

Parameters

fScaleX	X scale value
fScaleY	Y scale value
fScaleZ	Z scale value
fScaleW	W scale value

See also: TransposeMultiply(const Matrix4D_t *,float,float,float,float), Multiply(float,float,float,float) or SetScale(float,float,float,float)

◆ TransposeSetFromQuaternion()

void BURGER_API Burger::Matrix4D_t::TransposeSetFromQuaternion ( const Vector4D_t * pInput )

noexcept

Convert a quaternion to a transposed 4x4 matrix.

Here's the resulting matrix of math used using terms from the input quaternion

	x	y	z	w
x	1-(2yy+2zz)	2xy-2wz	2xz+2wy	0
y	2xy+2wz	1-(2xx+2zz)	2yz-2wx	0
z	2xz-2wy	2yz+2wx	1-(2xx+2yy)	0
w	0	0	0	1

Parameters

pInput Pointer to a normalized quaternion

See also: Matrix3D_t::TransposeSetFromQuaternion(const Vector4D_t *pInput) or SetFromQuaternion(const Vector4D_t *pInput)

◆ TransposeSetFrustum()

void BURGER_API Burger::Matrix4D_t::TransposeSetFrustum	(	float	fLeft,
		float	fRight,
		float	fBottom,
		float	fTop,
		float	fNear,
		float	fFar )

noexcept

Create a 4D projection matrix.

Using a frustum, create a projection matrix in a format that DirectX can use directly. If a OpenGL version is desired, call SetFrustum() instead.

	x	y	z	w
x	(fNear * 2.0f) / (fRight - fLeft)	0	(fRight + fLeft) / (fRight - fLeft)	0
y	0	(fNear * 2.0f) / (fTop - fBottom)	(fTop + fBottom) / (fTop - fBottom)	0
z	0	0	-(fFar+fNear) / (fFar - fNear)	-(2.0f * fFar * fNear) / (fFar - fNear)
w	0	0	-1	0

Parameters

fLeft	Leftmost X coordinate
fRight	Rightmost X coordinate
fBottom	Bottommost Y coordinate
fTop	Topmost Y coordinate
fNear	Near clip plane
fFar	Far clip plane

See also: TransposeSetOrtho(), TransposeSetPerspective() or SetFrustum()

◆ TransposeSetOrtho()

void BURGER_API Burger::Matrix4D_t::TransposeSetOrtho	(	float	fLeft,
		float	fRight,
		float	fBottom,
		float	fTop,
		float	fNear,
		float	fFar )

noexcept

Create an orthogonal 4D projection matrix.

Using a frustum, create an orthogonal matrix in a format that DirectX can use directly. If an OpenGL version is desired, call SetOrtho() instead.

	x	y	z	w
x	2.0f / (fRight - fLeft)	0	0	-(fRight + fLeft) / (fRight - fLeft)
y	0	2.0f / (fTop - fBottom)	0	-(fTop + fBottom) / (fTop - fBottom)
z	0	0	-2.0f / (fFar - fNear)	-(Far + fNear) / (fFar - fNear)
w	0	0	0	1

Note: This is functional duplicate of glOrtho()

Parameters

fLeft	Leftmost X coordinate
fRight	Rightmost X coordinate
fBottom	Bottommost Y coordinate
fTop	Topmost Y coordinate
fNear	Near clip plane
fFar	Far clip plane

See also: TransposeSetFrustum() or SetOrtho()

◆ TransposeSetPerspective()

void BURGER_API Burger::Matrix4D_t::TransposeSetPerspective	(	float	fFieldOfViewY,
		float	fAspect,
		float	fNear,
		float	fFar )

noexcept

Create a 4D perspective matrix.

Using a field of view and an aspect ratio (x/y), create a projection matrix in a format that DirectX can use directly. If an OpenGL version is desired, call SetPerspective() instead.

f = 1.0f / tan((fFieldOfViewY*g_fDegreesToRadians)*0.5f);

	x	y	z	w
x	f/fAspect	0	0	0
y	0	f	0	0
z	0	0	(fFar+fNear) / (fNear-fFar)	(2.0f * fFar * fNear) / (fNear-fFar)
w	0	0	-1	0

Parameters

fFieldOfViewY	Angle of the field of view in degrees
fAspect	Aspect ratio of the screen
fNear	Near clip plane
fFar	Far clip plane

See also: TransposeSetOrtho(), TransposeSetFrustum() or SetPerspective()

◆ TransposeSetPitch()

void BURGER_API Burger::Matrix4D_t::TransposeSetPitch ( float fPitch )

noexcept

Initialize a rotation matrix with radians for pitch (X)

float sx = get_sine(fPitch);

float cx = get_cosine(fPitch);

	x	y	z	w
x	1	0	0	0
y	0	cx	sx	0
z	0	-sx	cx	0
w	0	0	0	1

Parameters

fPitch Pitch of the X in radians

See also: SetPitch(float), TransposeSetXYZ(float,float,float), TransposeSetYaw(float) and TransposeSetRoll(float)

◆ TransposeSetRoll()

void BURGER_API Burger::Matrix4D_t::TransposeSetRoll ( float fRoll )

noexcept

Initialize a rotation matrix with radians for roll (Z)

float sz = get_sine(fRoll);

float cz = get_cosine(fRoll);

	x	y	z	w
x	cz	sz	0	0
y	-sz	cz	0	0
z	0	0	1	0
w	0	0	0	1

Parameters

fRoll Roll of the Z in radians

See also: SetRoll(float), TransposeSetXYZ(float,float,float), TransposeSetYaw(float) and TransposeSetPitch(float)

◆ TransposeSetXYZ()

void BURGER_API Burger::Matrix4D_t::TransposeSetXYZ	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a transposed rotation matrix in the order of X, Y and Z.

Initialize a transposed rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of X, Y and then Z.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	(sy-sxcz)+(cx*sz)	(sycxcz)+(sx*sz)	0
y	cy*-sz	(cxcz)+(sy-sx*-sz)	(sxcz)+(sycx*-sz)	0
z	-sy	cy*-sx	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: SetXYZ(float,float,float), TransposeSetYaw(float), TransposeSetPitch(float), and TransposeSetRoll(float)

◆ TransposeSetXZY()

void BURGER_API Burger::Matrix4D_t::TransposeSetXZY	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a transposed rotation matrix in the order of X, Z and Y.

Initialize a transposed rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of X, Z and then Y.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	(cxszcy)+(sy*-sx)	(sxszcy)+(sy*cx)	0
y	-sz	cx*cz	sx*cz	0
z	-sy*cz	(-sxcy)+(-sycx*sz)	(cxcy)+(-sysx*sz)	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: SetXZY(float,float,float), TransposeSetYaw(float), TransposeSetPitch(float), and TransposeSetRoll(float)

◆ TransposeSetYaw()

void BURGER_API Burger::Matrix4D_t::TransposeSetYaw ( float fYaw )

noexcept

Initialize a rotation matrix with radians for yaw (Y)

float sy = get_sine(fYaw);

float cy = get_cosine(fYaw);

	x	y	z	w
x	cy	0	sy	0
y	0	1	0	0
z	-sy	0	cy	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians

See also: SetYaw(float), TransposeSetXYZ(float,float,float), TransposeSetPitch(float) and TransposeSetRoll(float)

◆ TransposeSetYXZ()

void BURGER_API Burger::Matrix4D_t::TransposeSetYXZ	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a transposed rotation matrix in the order of Y, X and Z.

Initialize a transposed rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Y, X and then Z.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	(cycz)+(-sysx*sz)	cx*sz	(sycz)+(cysx*sz)	0
y	(-sysxcz)+(cy*-sz)	cx*cz	(cysxcz)+(sy*-sz)	0
z	-sy*cx	-sx	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: SetYXZ(float,float,float), TransposeSetYaw(float), TransposeSetPitch(float), and TransposeSetRoll(float)

◆ TransposeSetYZX()

void BURGER_API Burger::Matrix4D_t::TransposeSetYZX	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a transposed rotation matrix in the order of Y, Z and X.

Initialize a transposed rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Y, Z and then X.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	sz	sy*cz	0
y	(cy-szcx)+(-sy*sx)	cx*cz	(sy-szcx)+(cy*sx)	0
z	(-sycx)+(cy-sx*-sz)	-sx*cz	(cycx)+(sy-sx*-sz)	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: SetYZX(float,float,float), TransposeSetYaw(float), TransposeSetPitch(float), and TransposeSetRoll(float)

◆ TransposeSetZXY()

void BURGER_API Burger::Matrix4D_t::TransposeSetZXY	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a transposed rotation matrix in the order of Z, X and Y.

Initialize a transposed rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Z, X and then Y.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	(czcy)+(sy-sx*-sz)	(szcy)+(sy-sx*cz)	sy*cx	0
y	cx*-sz	cx*cz	sx	0
z	(-sx-szcy)+(-sy*cz)	(-sxczcy)+(-sy*sz)	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: SetZXY(float,float,float), TransposeSetYaw(float), TransposeSetPitch(float), and TransposeSetRoll(float)

◆ TransposeSetZYX()

void BURGER_API Burger::Matrix4D_t::TransposeSetZYX	(	float	fYaw,
		float	fPitch,
		float	fRoll )

noexcept

Initialize a transposed rotation matrix in the order of Z, Y and X.

Initialize a transposed rotation matrix with radians for Yaw (Y), Pitch (X), and Roll (Z) in the order of Z, Y and then X.

float sx = get_sine(fPitch);
float sy = get_sine(fYaw);
float sz = get_sine(fRoll);
float cx = get_cosine(fPitch);
float cy = get_cosine(fYaw);
float cz = get_cosine(fRoll);

	x	y	z	w
x	cy*cz	cy*sz	sy	0
y	(-szcx)+(-sysx*cz)	(czcx)+(-sysx*sz)	cy*sx	0
z	(-syczcx)+(-sx*-sz)	(-syszcx)+(-sx*cz)	cy*cx	0
w	0	0	0	1

Parameters

fYaw	Yaw of the Y in radians
fPitch	Pitch of the X in radians
fRoll	Roll of the Z in radians

See also: SetZYX(float,float,float), TransposeSetYaw(float), TransposeSetPitch(float), and TransposeSetRoll(float)

◆ TransposeTransform() [1/4]

void BURGER_API Burger::Matrix4D_t::TransposeTransform ( Vector3D_t * pInput ) const

noexcept

Multiply a vector by a transposed matrix.

Transform the point by the transposed matrix

x	y	z
(xxx)+(yxy)+(zx*z)+(wx)	(xyx)+(yyy)+(zy*z)+(wy)	(xzx)+(yzy)+(zz*z)+(wz)

Parameters

pInput Pointer to a Vector3D_t to transform against this transposed matrix

See also: TransposeTransform(Vector3D_t *,const Vector3D_t *) const or Transform(Vector3D_t *) const

◆ TransposeTransform() [2/4]

void BURGER_API Burger::Matrix4D_t::TransposeTransform	(	Vector3D_t *	pOutput,
		const Vector3D_t *	pInput ) const

noexcept

Multiply a vector by a transposed matrix.

Transform the point by the transposed matrix and store the result in an uninitialized Vector3D_t

x	y	z
(xxx)+(yxy)+(zx*z)+(wx)	(xyx)+(yyy)+(zy*z)+(wy)	(xzx)+(yzy)+(zz*z)+(wz)

Parameters

pInput	Pointer to a Vector3D_t to transform against this transposed matrix
pOutput	Pointer to an uninitialized Vector3D_t to store the result

See also: TransposeTransform(Vector3D_t *) const or Transform(Vector3D_t *,const Vector3D_t *) const

◆ TransposeTransform() [3/4]

void BURGER_API Burger::Matrix4D_t::TransposeTransform ( Vector4D_t * pInput ) const

noexcept

Multiply a vector by a transposed matrix.

Transform the point by the transposed matrix

x	y	z	w
(xxx)+(yxy)+(zxz)+(wxw)	(xyx)+(yyy)+(zyz)+(wyw)	(xzx)+(yzy)+(zzz)+(wzw)	(xwx)+(ywy)+(zwz)+(www)

Parameters

pInput Pointer to a Vector4D_t to transform against this transposed matrix

See also: TransposeTransform(Vector4D_t *,const Vector4D_t *) const or Transform(Vector4D_t *) const

◆ TransposeTransform() [4/4]

void BURGER_API Burger::Matrix4D_t::TransposeTransform	(	Vector4D_t *	pOutput,
		const Vector4D_t *	pInput ) const

noexcept

Multiply a vector by a transposed matrix.

Transform the point by the transposed matrix and store the result in an uninitialized Vector4D_t

x	y	z	w
(xxx)+(yxy)+(zxz)+(wxw)	(xyx)+(yyy)+(zyz)+(wyw)	(xzx)+(yzy)+(zzz)+(wzw)	(xwx)+(ywy)+(zwz)+(www)

Parameters

pInput	Pointer to a Vector4D_t to transform against this transposed matrix
pOutput	Pointer to an uninitialized Vector4D_t to store the result

See also: TransposeTransform(Vector4D_t *) const or Transform(Vector4D_t *,const Vector4D_t *) const

◆ TransposeTransform3x3() [1/2]

void BURGER_API Burger::Matrix4D_t::TransposeTransform3x3 ( Vector3D_t * pInput ) const

noexcept

Multiply a vector by a transposed matrix without adding W.

Transform the point by the transposed matrix only using the x, y and z terms

|x|y|z| |:–:|:–:|:–:| |x|(xx*x)+(yx*y)+(zx*z)|(xy*x)+(yy*y)+(zy*z)|(xz*x)+(yz*y)+(zz*z)|

Parameters

pInput Pointer to a Vector3D_t to transform against this transposed matrix

See also: TransposeTransform3x3(Vector3D_t *,const Vector3D_t *) const or Transform3x3(Vector3D_t *) const

◆ TransposeTransform3x3() [2/2]

void BURGER_API Burger::Matrix4D_t::TransposeTransform3x3	(	Vector3D_t *	pOutput,
		const Vector3D_t *	pInput ) const

noexcept

Multiply a vector by a transposed matrix without adding W.

Transform the point by the transposed matrix only using the x, y and z terms and store the result in an uninitialized Vector3D_t

|x|y|z|w| |:–:|:–:|:–:|:–:| |(xx*x)+(yx*y)+(zx*z)|(xy*x)+(yy*y)+(zy*z)|(xz*x)+(yz*y)+(zz*z)|

Parameters

pInput	Pointer to a Vector3D_t to transform against this transposed matrix
pOutput	Pointer to an uninitialized Vector3D_t to store the result

See also: TransposeTransform3x3(Vector3D_t *) const or Transform3x3(Vector3D_t*,const Vector3D_t *) const

◆ TransposeTranslate()

void BURGER_API Burger::Matrix4D_t::TransposeTranslate	(	float	fX,
		float	fY,
		float	fZ )

noexcept

Multiply the matrix by a generated transposed translation matrix.

With an X, Y and Z for translation, apply a matrix multiply if a matrix was generated with SetTranslate(float,float,float) and then Transpose()

	x	y	z	w
x	x.x	x.y	x.z	(x.xfX)+(x.yfY)+(x.z*fZ)+x.w
y	y.x	y.y	y.z	(y.xfX)+(y.yfY)+(y.z*fZ)+y.w
z	z.x	z.y	z.z	(z.xfX)+(z.yfY)+(z.z*fZ)+z.w
w	w.x	w.y	w.z	(w.xfX)+(w.yfY)+(w.z*fZ)+w.w

Parameters

fX	X value of the temp translation matrix
fY	Y value of the temp translation matrix
fZ	Z value of the temp translation matrix

See also: Translate(float,float,float) or SetTranslate(float,float,float)

◆ Yaw()

void BURGER_API Burger::Matrix4D_t::Yaw ( float fYaw )

noexcept

Rotate a matrix in the Y axis (Yaw)

Given a Y angle in radians, rotate the matrix accordingly

fCos = get_cosine(fYaw); fSin = get_sine(fYaw);

	x	y	z	w
x	(z.xfSin)+(x.xfCos)	(z.yfSin)+(x.yfCos)	(z.zfSin)+(x.zfCos)	(z.wfSin)+(x.wfCos)
y	y.x	y.y	y.z	y.w
z	(z.xfCos)-(x.xfSin)	(z.yfCos)-(x,yfSin)	(z.zfCos)-(x.zfSin)	(z.wfCos)-(x.wfSin)
w	w.x	w.y	w.z	w.w

Parameters

fYaw	Angle in radians to yaw the matrix

See also: Pitch(float) or Roll(float)

◆ Zero()

void BURGER_API Burger::Matrix4D_t::Zero ( void )

noexcept

Clear out a 4D matrix.

Set all of the entries to zero

	x	y	z	w
x	0	0	0	0
y	0	0	0	0
z	0	0	0	0
w	0	0	0	0

See also: Identity(void)

Member Data Documentation

◆ w

Vector4D_t Burger::Matrix4D_t::w

32 bit floating point W row for the 4D Matrix

◆ x

Vector4D_t Burger::Matrix4D_t::x

32 bit floating point X row for the 4D Matrix

◆ y

Vector4D_t Burger::Matrix4D_t::y

32 bit floating point Y row for the 4D Matrix

◆ z

Vector4D_t Burger::Matrix4D_t::z

32 bit floating point Z row for the 4D Matrix

	x	y	z	w
x	(x.xpInput->x.x)+(y.xpInput->x.y)+(z.xpInput->x.z)+(w.xpInput->x.w)	(x.ypInput->x.x)+(y.ypInput->x.y)+(z.ypInput->x.z)+(w.ypInput->x.w)	(x.zpInput->x.x)+(y.zpInput->x.y)+(z.zpInput->x.z)+(w.zpInput->x.w)	(x.wpInput->x.x)+(y.wpInput->x.y)+(z.wpInput->x.z)+(w.wpInput->x.w)
y	(x.xpInput->y.x)+(y.xpInput->y.y)+(z.xpInput->y.z)+(w.xpInput->y.w)	(x.ypInput->y.x)+(y.ypInput->y.y)+(z.ypInput->y.z)+(w.ypInput->y.w)	(x.zpInput->y.x)+(y.zpInput->y.y)+(z.zpInput->y.z)+(w.zpInput->y.w)	(x.wpInput->y.x)+(y.wpInput->y.y)+(z.wpInput->y.z)+(w.wpInput->y.w)
z	(x.xpInput->z.x)+(y.xpInput->z.y)+(z.xpInput->z.z)+(w.xpInput->z.w)	(x.ypInput->z.x)+(y.ypInput->z.y)+(z.ypInput->z.z)+(w.ypInput->z.w)	(x.zpInput->z.x)+(y.zpInput->z.y)+(z.zpInput->z.z)+(w.zpInput->z.w)	(x.wpInput->z.x)+(y.wpInput->z.y)+(z.wpInput->z.z)+(w.wpInput->z.w)
w	(x.xpInput->w.x)+(y.xpInput->w.y)+(z.xpInput->z.z)+(w.xpInput->w.w)	(x.ypInput->w.x)+(y.ypInput->w.y)+(z.ypInput->z.z)+(w.ypInput->w.w)	(x.zpInput->w.x)+(y.zpInput->w.y)+(z.zpInput->z.z)+(w.zpInput->w.w)	(x.wpInput->w.x)+(y.wpInput->w.y)+(z.wpInput->z.z)+(w.wpInput->w.w)

	x	y	z	w
x	(pInput1->x.xpInput2->x.x)+(pInput1->y.xpInput2->x.y)+(pInput1->z.xpInput2->x.z)+(pInput1->w.xpInput2->x.w)	(pInput1->x.ypInput2->x.x)+(pInput1->y.ypInput2->x.y)+(pInput1->z.ypInput2->x.z)+(pInput1->w.ypInput2->x.w)	(pInput1->x.zpInput2->x.x)+(pInput1->y.zpInput2->x.y)+(pInput1->z.zpInput2->x.z)+(pInput1->w.zpInput2->x.w)	(pInput1->x.wpInput2->x.x)+(pInput1->y.wpInput2->x.y)+(pInput1->z.wpInput2->x.z)+(pInput1->w.wpInput2->x.w)
y	(pInput1->x.xpInput2->y.x)+(pInput1->y.xpInput2->y.y)+(pInput1->z.xpInput2->y.z)+(pInput1->w.xpInput2->y.w)	(pInput1->x.ypInput2->y.x)+(pInput1->y.ypInput2->y.y)+(pInput1->z.ypInput2->y.z)+(pInput1->w.ypInput2->y.w)	(pInput1->x.zpInput2->y.x)+(pInput1->y.zpInput2->y.y)+(pInput1->z.zpInput2->y.z)+(pInput1->w.zpInput2->y.w)	(pInput1->x.wpInput2->y.x)+(pInput1->y.wpInput2->y.y)+(pInput1->z.wpInput2->y.z)+(pInput1->w.wpInput2->y.w)
z	(pInput1->x.xpInput2->z.x)+(pInput1->y.xpInput2->z.y)+(pInput1->z.xpInput2->z.z)+(pInput1->w.xpInput2->z.w)	(pInput1->x.ypInput2->z.x)+(pInput1->y.ypInput2->z.y)+(pInput1->z.ypInput2->z.z)+(pInput1->w.ypInput2->z.w)	(pInput1->x.zpInput2->z.x)+(pInput1->y.zpInput2->z.y)+(pInput1->z.zpInput2->z.z)+(pInput1->w.zpInput2->z.w)	(pInput1->x.wpInput2->z.x)+(pInput1->y.wpInput2->z.y)+(pInput1->z.wpInput2->z.z)+(pInput1->w.wpInput2->z.w)
w	(pInput1->x.xpInput2->w.x)+(pInput1->y.xpInput2->w.y)+(pInput1->z.xpInput2->z.z)+(pInput1->w.xpInput2->w.w)	(pInput1->x.ypInput2->w.x)+(pInput1->y.ypInput2->w.y)+(pInput1->z.ypInput2->z.z)+(pInput1->w.ypInput2->w.w)	(pInput1->x.zpInput2->w.x)+(pInput1->y.zpInput2->w.y)+(pInput1->z.zpInput2->z.z)+(pInput1->w.zpInput2->w.w)	(pInput1->x.wpInput2->w.x)+(pInput1->y.wpInput2->w.y)+(pInput1->z.wpInput2->z.z)+(pInput1->w.wpInput2->w.w)

Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

◆ AffineInverse()

◆ GetWColumn() [1/2]

◆ GetWColumn() [2/2]

◆ GetWRow() [1/2]

◆ GetWRow() [2/2]

◆ GetXColumn() [1/2]

◆ GetXColumn() [2/2]

◆ GetXRow() [1/2]

◆ GetXRow() [2/2]

◆ GetYColumn() [1/2]

◆ GetYColumn() [2/2]

◆ GetYRow() [1/2]

◆ GetYRow() [2/2]

◆ GetZColumn() [1/2]

◆ GetZColumn() [2/2]

◆ GetZRow() [1/2]

◆ GetZRow() [2/2]

◆ Identity()

◆ Multiply() [1/8]

◆ Multiply() [2/8]

◆ Multiply() [3/8]

◆ Multiply() [4/8]

◆ Multiply() [5/8]

◆ Multiply() [6/8]

◆ Multiply() [7/8]

◆ Multiply() [8/8]

◆ Multiply3x3() [1/2]

◆ Multiply3x3() [2/2]

◆ operator const float *()

◆ PerspectiveFovLH()

◆ PerspectiveFovRH()

◆ Pitch()

◆ Roll()

◆ Rotate()

◆ Set() [1/3]

◆ Set() [2/3]

◆ Set() [3/3]

◆ SetFromQuaternion()

◆ SetFrustum()

◆ SetOrtho()

◆ SetPerspective()

◆ SetPitch()

◆ SetRoll()

◆ SetScale() [1/2]

◆ SetScale() [2/2]

◆ SetTranslate()

◆ SetWColumn() [1/2]

◆ SetWColumn() [2/2]

◆ SetWRow() [1/2]

◆ SetWRow() [2/2]

◆ SetXColumn() [1/2]

◆ SetXColumn() [2/2]

◆ SetXRow() [1/2]

◆ SetXRow() [2/2]

◆ SetXYZ()

◆ SetXZY()

◆ SetYaw()

◆ SetYColumn() [1/2]

◆ SetYColumn() [2/2]

◆ SetYRow() [1/2]

◆ SetYRow() [2/2]

◆ SetYXZ()

◆ SetYZX()

◆ SetZColumn() [1/2]

◆ SetZColumn() [2/2]

◆ SetZRow() [1/2]

◆ SetZRow() [2/2]

◆ SetZXY()

◆ SetZYX()

◆ Transform() [1/4]

◆ Transform() [2/4]

◆ Transform() [3/4]

◆ Transform() [4/4]

◆ Transform3x3() [1/2]

◆ Transform3x3() [2/2]

◆ Translate()