Matrix3 Struct Reference

A 3x3 matrix class for 2D operations (similar to Matrix4). More...

List of all members.

Public Member Functions
	Matrix3 (Vector3 valx, Vector3 valy, Vector3 valz)
	Constructor.
Matrix3	Transpose ()
	Return the transpose.
float	Determinant ()
	Return the determinant.
Matrix3	Inverse ()
	Return the general inverse.
Matrix3	InverseOrthonormal ()
	Special inverse that assumes the matrix is a TxR (orthonormal).
Matrix4	Matrix4 ()
	Assuming this matrix is a transform matrix (last row=0,0,1 etc), return a Matrix4 version of it.
string	GetCoordSysError ()
	Get the last error returned by isCoordSys() as a string.
bool	IsOrthonormal (float epsilon)
	Return true if the matrix represents a valid right-handed, orthogonal 2d coordinate system.
bool	Equals (ref Matrix3 m, float epsilon)
	Equality test.
bool	Equals (ref Matrix3 m)
	Equality test.
Static Public Member Functions
static Vector3	operator* (Matrix3 m, Vector3 v)
	Matrix/vector multiplication.
static Matrix3	operator* (Matrix3 m1, Matrix3 m2)
	Matrix/matrix multiplication.
static Matrix3	Translation (Vector2 value)
	Return a translation matrix.
static Matrix3	Scale (Vector2 value)
	Return a scale matrix.
static Matrix3	Skew (Vector2 value)
	Return a skew matrix.
static Matrix3	Rotation (Vector2 unit_vector)
	Return a rotation matrix.
static Matrix3	Rotation (float angle)
	Return a rotation matrix.
static Matrix3	TRS (Vector2 translation, Vector2 unit_vector, Vector2 scale)
	Return a Translation * Rotation * Scale transform node.
Public Attributes
Vector3	X
	First column.
Vector3	Y
	Second column.
Vector3	Z
	Third column.
Static Public Attributes
static Matrix3	Identity
	Return the identity.
static Matrix3	Zero
	Return the matrix with all elements set to zero.

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Detailed Description

A 3x3 matrix class for 2D operations (similar to Matrix4).

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Constructor & Destructor Documentation

Matrix3	(	Vector3	valx,
		Vector3	valy,
		Vector3	valz
	)

Constructor.

Parameters:

valx	First column.
valy	Second column.
valz	Third column.

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Member Function Documentation

static Matrix3 Rotation

(

float

angle

)

[static]

Return a rotation matrix.

Parameters:

angle

Rotation angle in radians.

static Matrix3 Rotation

(

Vector2

unit_vector

)

[static]

Return a rotation matrix.

Parameters:

unit_vector

A (cos(angle),sin(angle)) unit vector, where angle is the amount you want to rotate by.

static Matrix3 Skew

(

Vector2

value

)

[static]

Return a skew matrix.

Parameters:

value

The (tan(skewx),tan(skewy)) vector, where skewx and skewy are the skew angles.

static Matrix3 TRS	(	Vector2	translation,
		Vector2	unit_vector,
		Vector2	scale
	)		[static]

Return a Translation * Rotation * Scale transform node.

Parameters:

translation	The translation amount.
unit_vector	A (cos(angle),sin(angle)) unit vector, where angle is the amount you want to rotate by.
scale	The scale amount.