Class: Matrix4x4

Members

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lookAt

Initializes as a "lookAt" matrix at the given eye position oriented toward a target

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<static> IDENTITY

Preset for the identity matrix

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<static> ZERO

Preset for the all-zero matrix

Methods

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add()

Adds the elements of another matrix to this one.

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addAffine()

Adds the elements of another matrix to this one, assuming both are affine.

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append()

Post-multiplication (M x this)

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appendAffine()

Post-multiplication (M x this) assuming affine matrices

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appendQuaternion()

Post-multiplies a quaternion rotation

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appendRotationAxisAngle()

Post-multiplies an axis/angle rotation

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appendScale()

Post-multiplies a scale

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appendTranslation()

Post-multiplies a translation

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clone()

Returns a copy of this object.

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cofactor()

Calculates the cofactor for the given row and column

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compose()

Initializes as an affine transformation based on a transform object

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copyColumn(index, m)

Copies a column from another matrix.

Parameters:

Name	Type	Description
index	Number	The index of the column.
m	Matrix4x4	The matrix from which to copy.

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copyFrom()

Copies its elements from another matrix.

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decompose(targetOrPos, quat, quat)

Decomposes an affine transformation matrix into a Transform object, or a triplet position, quaternion, scale.

Parameters:

Name	Type	Description
targetOrPos		An optional target object to store the values. If this is a Float4, quat and scale need to be provided. If omitted, a new Transform object will be created and returned.
quat		An optional quaternion to store rotation. Unused if targetOrPos is a Transform object.
quat		An optional Float4 to store scale. Unused if targetOrPos is a Transform object.

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determinant()

Calculates the determinant of the matrix.

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fromEuler()

Initializes the matrix as a rotation matrix from 3 Euler angles

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fromOrthographicOffCenterProjection(left, right, top, bottom, nearDistance, farDistance)

Initializes as an off-center orthographic projection matrix.

Parameters:

Name	Type	Description
left		The distance to the left plane
right		The distance to the right plane
top		The distance to the top plane
bottom		The distance to the bottom plane
nearDistance		The near plane distance
farDistance		The far plane distance

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fromOrthographicProjection(width, top, nearDistance, farDistance)

Initializes as a symmetrical orthographic projection matrix.

Parameters:

Name	Type	Description
width		The width of the projection
top		The height of the projection
nearDistance		The near plane distance
farDistance		The far plane distance

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fromPerspectiveProjection(vFOV, aspectRatio, nearDistance, farDistance)

Initializes as a perspective projection matrix (from right-handed Y-up to left-handed NDC!).

Parameters:

Name	Type	Description
vFOV		The vertical field of view in radians.
aspectRatio		The aspect ratio
nearDistance		The near plane distance
farDistance		The far plane distance

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fromQuaternion()

Initializes the matrix as a rotation matrix based on a quaternion.

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fromRotationAxisAngle(axis, radians)

Initializes the matrix as a rotation matrix around a given axis

Parameters:

Name	Type	Description
axis		The axis around which the rotation takes place.
radians		The angle of rotation

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fromRotationPitchYawRoll()

Initializes the matrix as a rotation matrix from Tait-Bryan angles (pitch, yaw, roll).

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fromScale(x, y, z)

Initializes as a scale matrix.

Parameters:

Name	Type	Description
x
y
z

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fromTranslation(xOrV, y, z)

Initializes as a translation matrix.

Parameters:

Name	Type	Description
xOrV		A Float4 or a Number as x-coordinate
y		The y-translation. Omitted if xOrV is a Float4.
z		The z-translation. Omitted if xOrV is a Float4.

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getAdjugate()

Calculates teh adjugate matrix.

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getCofactorMatrix()

Creates a matrix containing all the cofactors.

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getColumn(index [, target])

Gets the given column from the matrix.

Parameters:

Name	Type	Argument	Description
index	Number		The index of the column
target	Float4	<optional>	An optional target. If omitted, a new object will be created.

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getElement(row, col)

Gets the value of a single element.

Parameters:

Name	Type	Description
row		The row index
col		The column index

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getRow(index [, target])

Gets the given row from the matrix.

Parameters:

Name	Type	Argument	Description
index	Number		The index of the row
target	Float4	<optional>	An optional target. If omitted, a new object will be created.

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inverseAffineOf()

Initializes as the inverse of the given matrix, assuming it is affine. It's faster than regular inverse.

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inverseOf()

Initializes as the inverse of the given matrix.

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invert()

Inverts the matrix.

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invertAffine()

Inverts the matrix, assuming it's affine (faster than regular inverse)

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multiply(a, b)

Multiplies two matrix objects and stores the result in this one

Parameters:

Name	Type	Description
a
b

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multiplyAffine(a, b)

Multiplies two matrix objects, assuming they're affine transformations, and stores the result in this one

Parameters:

Name	Type	Description
a
b

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prepend()

Pre-multiplication (this x M)

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prependAffine()

Pre-multiplication (M x this) assuming affine matrices

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prependQuaternion()

Pre-multiplies a quaternion rotation

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prependRotationAxisAngle()

Pre-multiplies an axis/angle rotation

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prependScale()

Pre-multiplies a scale

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prependTranslation()

Pre-multiplies a translation

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projectPoint(v [, target])

Transforms a Float4 point (assuming its w component is 1) and divides by the resulting w

Parameters:

Name	Type	Argument	Description
v			The Float4 object to transform.
target		<optional>	An optional target. If not provided, a new object will be created and returned.

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setColumn(index, v)

Sets a column in the matrix.

Parameters:

Name	Type	Description
index	Number	The index of the column.
v	Float4	The vector to assign to the column

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setElement(row, col, value)

Sets the value of a single element.

Parameters:

Name	Type	Description
row		The row index
col		The column index
value		The value to assign to the element

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setRow(index, v)

Sets a row in the matrix.

Parameters:

Name	Type	Description
index	Number	The index of the row.
v	Float4	The vector to assign to the row

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subtract()

Subtracts the elements of another matrix from this one.

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subtractAffine()

Subtracts the elements of another matrix from this one, assuming both are affine.

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swapColums()

Swaps two columns

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transform(v [, target])

Transforms a Float4 object (use for homogeneous general case of Float4, perspective or when "type" (w) of Float4 is unknown)

Parameters:

Name	Type	Argument	Description
v			The Float4 object to transform.
target		<optional>	An optional target. If not provided, a new object will be created and returned.

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transformExtent(v [, target])

Transforms a Float4 object, treating it as a vector (ie: disregarding translation) containing a size (so always abs)! Slightly faster than transform for vectors.

Parameters:

Name	Type	Argument	Description
v			The Float4 object to transform.
target		<optional>	An optional target. If not provided, a new object will be created and returned.

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transformNormal(v [, target])

Transforms a Float4 object, treating it as a normal vector.

Parameters:

Name	Type	Argument	Description
v			The Float4 object to transform.
target		<optional>	An optional target. If not provided, a new object will be created and returned.

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transformPoint(v [, target])

Transforms a Float4 object, treating it as a point. Slightly faster than transform for points.

Parameters:

Name	Type	Argument	Description
v			The Float4 object to transform.
target		<optional>	An optional target. If not provided, a new object will be created and returned.

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transformVector(v [, target])

Transforms a Float4 object, treating it as a vector (ie: disregarding translation). Slightly faster than transform for vectors.

Parameters:

Name	Type	Argument	Description
v			The Float4 object to transform.
target		<optional>	An optional target. If not provided, a new object will be created and returned.

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transpose()

Transposes the matrix.

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writeData()

Writes the matrix into an array for upload

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writeData4x3()

Writes the matrix into an array for upload, ignoring the bottom row (for affine matrices)

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writeNormalMatrix()

Writes the inverse transpose into an array for upload (must support 9 elements)