D3DXMatrixAffineTransformation function (D3DX10Math.h)
Note
The D3DX utility library is deprecated. We recommend that you use DirectXMath instead.
Builds a 3D affine transformation matrix. NULL arguments are treated as identity transformations.
Syntax
D3DXMATRIX* D3DXMatrixAffineTransformation(
_In_ D3DXMATRIX *pOut,
_In_ FLOAT Scaling,
_In_ const D3DXVECTOR3 *pRotationCenter,
_In_ const D3DXQUATERNION *pRotation,
_In_ const D3DXVECTOR3 *pTranslation
);
Parameters
-
pOut [in]
-
Type: D3DXMATRIX*
Pointer to the D3DXMATRIX that is the result of the operation.
-
Scaling [in]
-
Type: FLOAT
Scaling factor.
-
pRotationCenter [in]
-
Type: const D3DXVECTOR3*
Pointer to a D3DXVECTOR3, a point identifying the center of rotation. If this argument is NULL, an identity Mrc matrix is applied to the formula in Remarks.
-
pRotation [in]
-
Type: const D3DXQUATERNION*
Pointer to a D3DXQUATERNION that specifies the rotation. If this argument is NULL, an identity Mr matrix is applied to the formula in Remarks.
-
pTranslation [in]
-
Type: const D3DXVECTOR3*
Pointer to a D3DXVECTOR3 structure representing the translation. If this argument is NULL, an identity Mₜ matrix is applied to the formula in Remarks.
Return value
Type: D3DXMATRIX*
Pointer to a D3DXMATRIX structure that is an affine transformation matrix.
Remarks
This function calculates the affine transformation matrix with the following formula, with matrix concatenation evaluated in left-to-right order:
Mout = Mₛ * (Mrc)-1 * Mr * Mrc * Mₜ
where:
Mout = output matrix (pOut)
Mₛ = scaling matrix (Scaling)
Mrc = center of rotation matrix (pRotationCenter)
Mr = rotation matrix (pRotation)
Mₜ = translation matrix (pTranslation)
The return value for this function is the same value returned in the pOut parameter. In this way, the D3DXMatrixAffineTransformation function can be used as a parameter for another function.
For 2D affine transformations, use D3DXMatrixAffineTransformation2D.
Requirements
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See also