Matrix

Detailed Description

Functions
Matrix	MatrixMove (const Vector &t)
Matrix	MatrixScale (const Vector &s)
Matrix	MatrixRotX (Float w)
Matrix	MatrixRotY (Float w)
Matrix	MatrixRotZ (Float w)
Vector	MatrixToHPB (const Matrix &m, ROTATIONORDER rot_order, Bool isNormalized=false)
Vector	VectorToHPB (const Vector &p)
Matrix	HPBToMatrix (const Vector &hpb, ROTATIONORDER rot_order)
void	MatrixToRotAxis (const Matrix &m, Vector *v, Float *w)
Matrix	RotAxisToMatrix (const Vector &v, Float w)
Matrix	RebuildMatrix (const Matrix &m)
Matrix	DirectionVectorToRotationMatrix (const Vector &direction, const Vector &pivotDirection)

Function Documentation

MatrixMove()

Matrix MatrixMove

(

const Vector &

t

)

Creates a translation matrix.

Parameters

[in]

t

The translation vector.

Returns

The translation matrix.

MatrixScale()

Matrix MatrixScale

(

const Vector &

s

)

Creates a scaling matrix.

Parameters

[in]

s

The scaling vector for the axes.

Returns

The scaling matrix.

MatrixRotX()

Matrix MatrixRotX

(

Float

w

)

Creates a rotation matrix on the X axis.

Parameters

[in]

w

The angle around X.

Returns

The rotation matrix.

MatrixRotY()

Matrix MatrixRotY

(

Float

w

)

Creates a rotation matrix on the Y axis.

Parameters

[in]

w

The angle around Y.

Returns

The rotation matrix.

MatrixRotZ()

Matrix MatrixRotZ

(

Float

w

)

Creates a rotation matrix on the Z axis.

Parameters

[in]

w

The angle around Z.

Returns

The rotation matrix.

MatrixToHPB()

Vector MatrixToHPB	(	const Matrix &	m,
		ROTATIONORDER	rot_order,
		Bool	isNormalized = false
	)

Calculates Euler angles from a matrix.

Parameters

[in]	m	The rotation matrix.
[in]	rot_order	The rotation order.
[in]	isNormalized	True if the matrix is already normalized

Returns

The rotation HPB.

VectorToHPB()

Vector VectorToHPB

(

const Vector &

p

)

Calculates Euler angles from a vector.

Note

The bank is always set to 0.0.

Parameters

[in]

p

The vector to find the HPB for.

Returns

The rotation HPB.

HPBToMatrix()

Matrix HPBToMatrix	(	const Vector &	hpb,
		ROTATIONORDER	rot_order
	)

Constructs a matrix from Euler angles.

Parameters

[in]	hpb	The input HPB.
[in]	rot_order	The rotation order.

Returns

The rotation matrix.

MatrixToRotAxis()

void MatrixToRotAxis	(	const Matrix &	m,
		Vector *	v,
		Float *	w
	)

Calculates rotation axis and angle from a matrix.

Parameters

[in]	m	The rotation matrix.
[out]	v	Assigned the rotation axis.
[out]	w	Assigned the rotation angle.

RotAxisToMatrix()

Matrix RotAxisToMatrix	(	const Vector &	v,
		Float	w
	)

Calculates matrix from rotation axis and angle.

Parameters

[in]	v	The rotation axis.
[in]	w	The rotation angle.

Returns

The rotation matrix.

RebuildMatrix()

Matrix RebuildMatrix

(

const Matrix &

m

)

Recalculates a matrix making it orthogonal if one or more of its vectors is collapsed (scale 0.0).

Parameters

[in]

m

The matrix to rebuild.

Returns

The recalculated matrix with the collapsed components fixed and unit length.

DirectionVectorToRotationMatrix()

Matrix DirectionVectorToRotationMatrix	(	const Vector &	direction,
		const Vector &	pivotDirection
	)

Rotates a directional vector around another pivot direction to calculate the angle and rotation axis, packed into a matrix, required to perform the rotation. This is otherwise known as Rodrigues' rotation formula.

Parameters

[in]	direction	Input directional vector.
[in]	pivotDirection	Vector to rotate around.

Returns

A new rotation matrix embedding the rotation of the vector around the pivot.