D3DXMatrixTransformation

Builds a transformation matrix. NULL arguments are treated as identity transformations.

D3DXMATRIX * D3DXMatrixTransformation(
  D3DXMATRIX * pOut,
  CONST D3DXVECTOR3 * pScalingCenter,
  CONST D3DXQUATERNION * pScalingRotation,
  CONST D3DXVECTOR3 * pScaling,
  CONST D3DXVECTOR3 * pRotationCenter,
  CONST D3DXQUATERNION * pRotation,
  CONST D3DXVECTOR3 * pTranslation
);

Parameters

pOut

[in, out] Pointer to the D3DXMATRIX structure that is the result of the operation.

pScalingCenter

[in] Pointer to a D3DXVECTOR3 structure, identifying the scaling center point. If this argument is NULL, an identity M_sc matrix is applied to the formula in Remarks.

pScalingRotation

[in] Pointer to a D3DXQUATERNION structure that specifies the scaling rotation. If this argument is NULL, an identity M_sr matrix is applied to the formula in Remarks.

pScaling

[in] Pointer to a D3DXVECTOR3 structure, the scaling vector. If this argument is NULL, an identity M_s matrix is applied to the formula in Remarks.

pRotationCenter

[in] Pointer to a D3DXVECTOR3 structure, a point that identifies the center of rotation. If this argument is NULL, an identity M_rc matrix is applied to the formula in Remarks.

pRotation

[in] Pointer to a D3DXQUATERNION structure that specifies the rotation. If this argument is NULL, an identity M_r matrix is applied to the formula in Remarks.

pTranslation

[in] Pointer to a D3DXVECTOR3 structure, representing the translation. If this argument is NULL, an identity M_t matrix is applied to the formula in Remarks.

Return Values

Pointer to a D3DXMATRIX structure that is the transformation matrix.

Remarks

This function calculates the transformation matrix with the following formula, with matrix concatenation evaluated in left-to-right order:

M_out = (M_sc)^-1 * (M_sr)^-1* M_s * M_sr * M_sc * (M_rc)^-1* M_r * M_rc * Mt

where:

M_out = output matrix (pOut)

M_sc = scaling center matrix (pScalingCenter)

M_sr = scaling rotation matrix (pScalingRotation)

M_s = scaling matrix (pScaling)

M_rc = center of rotation matrix (pRotationCenter)

M_r = rotation matrix (pRotation)

M_t = translation matrix (pTranslation)

The return value for this function is the same value returned in the pOut parameter. In this way, the D3DXMatrixTransformation function can be used as a parameter for another function.

For 2D transformations, use D3DXMatrixTransformation2D.

Requirements

Header: Declared in D3dx9math.h.

See Also

D3DXMatrixAffineTransformation, Transforms