Returns the world-space camera position from a view matrix whose rotation is orthonormal, computing -transpose(R) * t (R = upper-left 3x3 rotation, t = column 3 translation). This is faster than inverting the full matrix (viewMatrix.inverse.GetColumn(3)), at roughly nine multiplies.

Declaration

public static Vector3 GetWorldPositionFromOrthonormalViewMatrix(in Matrix4x4 viewMatrix)

Parameters

Type	Name	Description
Matrix4x4	viewMatrix	The world-absolute view matrix, with orthonormal rotation, to extract the camera position from.

Returns

Type	Description
Vector3	The world-space camera position.

Remarks

The result is correct only under two preconditions:

The rotation R must be orthonormal, so that transpose(R) == inverse(R). A pure rotation/translation view matrix qualifies (Unity's view-space Z flip is fine); a matrix with scale, skew, or projection does not, so invert the full matrix for those.
The view matrix must be world-absolute. A camera-relative matrix (for example, HDRP strips the camera translation) yields a camera-relative result, not the absolute world position.

MatrixTimesTranslation(ref Matrix4x4, Vector3)

This function provides the equivalent of multiplying matrix parameter inOutMatrix with a translation matrix defined by the parameter translation. The order of the equivalent multiplication is inOutMatrix * translation.

Declaration

public static void MatrixTimesTranslation(ref Matrix4x4 inOutMatrix, Vector3 translation)

Parameters

Type	Name	Description
Matrix4x4	inOutMatrix	Matrix to multiply with translation.
Vector3	translation	Translation component to multiply to the matrix.

MultiplyOrthoMatrix(Matrix4x4, Matrix4x4, bool)

Multiplies a matrix with an orthographic matrix. This function is faster than performing the full matrix multiplication. The operation order is ortho * rhs.

Declaration

public static Matrix4x4 MultiplyOrthoMatrix(Matrix4x4 ortho, Matrix4x4 rhs, bool centered)

Parameters

Type	Name	Description
Matrix4x4	ortho	The ortho matrix to multiply with rhs.
Matrix4x4	rhs	A matrix to be multiply to perspective.
bool	centered	If true, it means that right and left are equivalently distant from center and similarly top/bottom are equivalently distant from center.

Returns

Type	Description
Matrix4x4	Returns the matrix that is the result of the multiplication.

MultiplyPerspectiveMatrix(Matrix4x4, Matrix4x4)

Multiplies a matrix with a perspective matrix. This function is faster than performing the full matrix multiplication. The operation order is perspective * rhs.

Declaration

public static Matrix4x4 MultiplyPerspectiveMatrix(Matrix4x4 perspective, Matrix4x4 rhs)

Parameters

Type	Name	Description
Matrix4x4	perspective	The perspective matrix to multiply with rhs.
Matrix4x4	rhs	A matrix to be multiply to perspective.

Returns

Type	Description
Matrix4x4	Returns the matrix that is the result of the multiplication.

MultiplyProjectionMatrix(Matrix4x4, Matrix4x4, bool)

Multiplies a matrix with a projection matrix. This function is faster than performing the full matrix multiplication. The operation order is projMatrix * rhs.

Declaration

public static Matrix4x4 MultiplyProjectionMatrix(Matrix4x4 projMatrix, Matrix4x4 rhs, bool orthoCentered)

Parameters

Type	Name	Description
Matrix4x4	projMatrix	The projection matrix to multiply with rhs.
Matrix4x4	rhs	A matrix to be multiply to perspective.
bool	orthoCentered	If true, the projection matrix is a centered ( right+left == top+bottom == 0) orthographic projection, otherwise it is a perspective matrix..

Returns

Type	Description
Matrix4x4	Returns the matrix that is the result of the multiplication.

TranslationTimesMatrix(ref Matrix4x4, Vector3)

This function provides the equivalent of multiplying a translation matrix defined by the parameter translation with the matrix specified by the parameter inOutMatrix. The order of the equivalent multiplication is translation * inOutMatrix.

Declaration

public static void TranslationTimesMatrix(ref Matrix4x4 inOutMatrix, Vector3 translation)

Parameters

Type	Name	Description
Matrix4x4	inOutMatrix	Matrix to multiply with translation.
Vector3	translation	Translation component to multiply to the matrix.