sandy.math.Matrix4Math

	Property	Defined by
		USE_FAST_MATH : Boolean = false [static] Specifies whether to use fast math calculations.	Matrix4Math

	Method	Defined by
		addMatrix4(m1:Matrix4, m2:Matrix4):Matrix4 [static] Computes the addition of two Matrix4 matrices.	Matrix4Math
		axisRotation(u:Number, v:Number, w:Number, angle:Number):Matrix4 [static] Computes a rotation Matrix4 matrix for a general axis of rotation.	Matrix4Math
		axisRotationVector(v:Vector, angle:Number):Matrix4 [static] Computes a rotation Matrix4 matrix for a general axis of rotation.	Matrix4Math
		axisRotationWithReference(axis:Vector, ref:Vector, pAngle:Number):Matrix4 [static] Computes a Matrix4 matrix for a rotation around a specific axis through a specific point.	Matrix4Math
		clone(m:Matrix4):Matrix4 [static] Returns the clone of a Matrix4 matrix.	Matrix4Math
		det(m:Matrix4):Number [static] Computes the determinant of a Matrix4 matrix.	Matrix4Math
		det3x3(m:Matrix4):Number [static] Computes the 3x3 determinant of a Matrix4 matrix.	Matrix4Math
		eulerRotation(ax:Number, ay:Number, az:Number):Matrix4 [static] Computes a rotation Matrix4 matrix from the Euler angle in degrees.	Matrix4Math
		getInverse(m:Matrix4):Matrix4 [static] Returns the inverse of a Matrix4 matrix.	Matrix4Math
		getTrace(m:Matrix4):Number [static] Computes the trace of a Matrix4 matrix.	Matrix4Math
		multiply(m1:Matrix4, m2:Matrix4):Matrix4 [static] Computes the multiplication of two Matrix4 matrices.	Matrix4Math
		multiply3x3(m1:Matrix4, m2:Matrix4):Matrix4 [static] Computes the multiplication of two Matrix4 matrices, as if they were 3x3.	Matrix4Math
		multiply4x3(m1:Matrix4, m2:Matrix4):Matrix4 [static] Computes the multiplication of two Matrix4 matrices.	Matrix4Math
		rotationX(angle:Number):Matrix4 [static] Computes a rotation Matrix4 matrix for an x axis rotation.	Matrix4Math
		rotationY(angle:Number):Matrix4 [static] Computes a rotation Matrix4 matrix for an y axis rotation.	Matrix4Math
		rotationZ(angle:Number):Matrix4 [static] Computes a rotation Matrix4 matrix for an z axis rotation.	Matrix4Math
		scale(nXScale:Number, nYScale:Number, nZScale:Number):Matrix4 [static] Computes a scale Matrix4 matrix.	Matrix4Math
		scaleVector(v:Vector):Matrix4 [static] Computes a scale Matrix4 matrix from a scale vector.	Matrix4Math
		translation(nTx:Number, nTy:Number, nTz:Number):Matrix4 [static] Computes a translation Matrix4 matrix.	Matrix4Math
		translationVector(v:Vector):Matrix4 [static] Computes a translation Matrix4 matrix from a vector.	Matrix4Math
		vectorMult(m:Matrix4, pv:Vector):Vector [static] Multiplies a 3D vertex by a Matrix4 matrix.	Matrix4Math
		vectorMult3x3(m:Matrix4, pv:Vector):Vector [static] Multiplies a 3D vector by a Matrix4 matrix as a 3x3 matrix.	Matrix4Math

Property detail

USE_FAST_MATH

property

public static var USE_FAST_MATH:Boolean = false

Specifies whether to use fast math calculations.

Method detail

addMatrix4

()

method

public static function addMatrix4(m1:Matrix4, m2:Matrix4):Matrix4

Computes the addition of two Matrix4 matrices.

Parameters

	`m1:Matrix4` — The first matrix.

	`m2:Matrix4` — The second matrix.

Returns

Matrix4 — The resulting matrix.

axisRotation

()

method

public static function axisRotation(u:Number, v:Number, w:Number, angle:Number):Matrix4

Computes a rotation Matrix4 matrix for a general axis of rotation.

[ToDo: My gosh! Explain this Thomas ;-) ]

Parameters

	`u:Number` — rotation X.

	`v:Number` — rotation Y.

	`w:Number` — rotation Z.

	`angle:Number` — The angle of rotation in degrees.

Returns

Matrix4 — The resulting matrix.

axisRotationVector

()

method

public static function axisRotationVector(v:Vector, angle:Number):Matrix4

Computes a rotation Matrix4 matrix for a general axis of rotation.

Parameters

	`v:Vector` — The axis of rotation.

	`angle:Number` — The angle of rotation in degrees.

Returns

Matrix4 — The resulting matrix.

axisRotationWithReference

()

method

public static function axisRotationWithReference(axis:Vector, ref:Vector, pAngle:Number):Matrix4

Computes a Matrix4 matrix for a rotation around a specific axis through a specific point.

NOTE - The axis must be normalized!

Parameters

	`axis:Vector` — A vector representing the axis of rotation.

	`ref:Vector` — The center of rotation.

	`pAngle:Number` — The angle of rotation in degrees.

Returns

Matrix4 — The resulting matrix.

clone

()

method

public static function clone(m:Matrix4):Matrix4

Returns the clone of a Matrix4 matrix.

Parameters

m:Matrix4 — The matrix to clone.

Returns

Matrix4 — The resulting matrix.

det

()

method

public static function det(m:Matrix4):Number

Computes the determinant of a Matrix4 matrix.

Parameters

m:Matrix4 — The matrix.

Returns

Number — The determinant.

det3x3

()

method

public static function det3x3(m:Matrix4):Number

Computes the 3x3 determinant of a Matrix4 matrix.

Uses the upper left 3 by 3 elements.

Parameters

m:Matrix4 — The matrix.

Returns

Number — The determinant.

eulerRotation

()

method

public static function eulerRotation(ax:Number, ay:Number, az:Number):Matrix4

Computes a rotation Matrix4 matrix from the Euler angle in degrees.

Parameters

	`ax:Number` — Angle of rotation around X axis in degrees.

	`ay:Number` — Angle of rotation around Y axis in degrees.

	`az:Number` — Angle of rotation around Z axis in degrees.

Returns

Matrix4 — The resulting matrix.

getInverse

()

method

public static function getInverse(m:Matrix4):Matrix4

Returns the inverse of a Matrix4 matrix.

Parameters

m:Matrix4 — The matrix to invert.

Returns

Matrix4 — The inverse Matrix4 matrix.

getTrace

()

method

public static function getTrace(m:Matrix4):Number

Computes the trace of a Matrix4 matrix.

The trace value is the sum of the element on the diagonal of the matrix.

Parameters

m:Matrix4 — The matrix we want to compute the trace.

Returns

Number — The trace value.

multiply

()

method

public static function multiply(m1:Matrix4, m2:Matrix4):Matrix4

Computes the multiplication of two Matrix4 matrices.

[ToDo: Explain this multiplication ]

Parameters

	`m1:Matrix4` — The first matrix.

	`m2:Matrix4` — The second matrix.

Returns

Matrix4 — The resulting matrix.

multiply3x3

()

method

public static function multiply3x3(m1:Matrix4, m2:Matrix4):Matrix4

Computes the multiplication of two Matrix4 matrices, as if they were 3x3.

Parameters

	`m1:Matrix4` — The first matrix.

	`m2:Matrix4` — The second matrix.

Returns

Matrix4 — The resulting matrix.

multiply4x3

()

method

public static function multiply4x3(m1:Matrix4, m2:Matrix4):Matrix4

Computes the multiplication of two Matrix4 matrices.

[ToDo: Explain this multiplication ]

Parameters

	`m1:Matrix4` — The first matrix.

	`m2:Matrix4` — The second matrix.

Returns

Matrix4 — The resulting matrix.

rotationX

()

method

public static function rotationX(angle:Number):Matrix4

Computes a rotation Matrix4 matrix for an x axis rotation.

Parameters

angle:Number — Angle of rotation.

Returns

Matrix4 — The resulting matrix.

rotationY

()

method

public static function rotationY(angle:Number):Matrix4

Computes a rotation Matrix4 matrix for an y axis rotation.

Parameters

angle:Number — Angle of rotation.

Returns

Matrix4 — The resulting matrix.

rotationZ

()

method

public static function rotationZ(angle:Number):Matrix4

Computes a rotation Matrix4 matrix for an z axis rotation.

Parameters

angle:Number — Angle of rotation.

Returns

Matrix4 — The resulting matrix.

scale

()

method

public static function scale(nXScale:Number, nYScale:Number, nZScale:Number):Matrix4

Computes a scale Matrix4 matrix.

   |Sx 0  0  0|
   |0  Sy 0  0|
   |0  0  Sz 0|
   |0  0  0  1|

Parameters

	`nXScale:Number` — Scale factor in the x direction.

	`nYScale:Number` — Scale factor in the y direction.

	`nZScale:Number` — Scale factor in the z direction.

Returns

Matrix4 — The resulting matrix.

scaleVector

()

method

public static function scaleVector(v:Vector):Matrix4

Computes a scale Matrix4 matrix from a scale vector.

   |Sx 0  0  0|
   |0  Sy 0  0|
   |0  0  Sz 0|
   |0  0  0  1|

Parameters

v:Vector — The vector containing the scale values.

Returns

Matrix4 — The resulting matrix.

translation

()

method

public static function translation(nTx:Number, nTy:Number, nTz:Number):Matrix4

Computes a translation Matrix4 matrix.

   |1  0  0  0|
   |0  1  0  0|
   |0  0  1  0|
   |Tx Ty Tz 1|

Parameters

	`nTx:Number` — Translation in the x direction.

	`nTy:Number` — Translation in the y direction.

	`nTz:Number` — Translation in the z direction.

Returns

Matrix4 — The resulting matrix.

translationVector

()

method

public static function translationVector(v:Vector):Matrix4

Computes a translation Matrix4 matrix from a vector.

   |1  0  0  0|
   |0  1  0  0|
   |0  0  1  0|
   |Tx Ty Tz 1|

Parameters

v:Vector — Translation Vector.

Returns

Matrix4 — The resulting matrix.

vectorMult

()

method

public static function vectorMult(m:Matrix4, pv:Vector):Vector

Multiplies a 3D vertex by a Matrix4 matrix.

Parameters

	`m:Matrix4` — The matrix.

	`pv:Vector` — The vertex.

Returns

Vector — The resulting vector.

vectorMult3x3

()

method

public static function vectorMult3x3(m:Matrix4, pv:Vector):Vector

Multiplies a 3D vector by a Matrix4 matrix as a 3x3 matrix.

Uses the upper left 3 by 3 elements

Parameters

	`m:Matrix4` — The matrix.

	`pv:Vector` — The vector.

Returns

Vector — The resulting vector.

Sandy 3.0 Documentation

Sandy 3.0 Documentation	All Packages \| All Classes \| Index \| Frames No Frames
Class Matrix4Math	Properties \| Methods

Package	sandy.math
Class	public class Matrix4Math