Microsoft DirectX 8.0 (C++)

m3x3

Computes the product of the input vector and a 3x3 matrix.

m3x3   rDest, vSrc0, mSrc1

Registers

rDest
Destination register, holding the result of the operation.
vSrc0
Source register, specifying the input argument.
mSrc1
Source register, specifying the input argument.

Operation

    SetDestReg();
    SetSrcReg(0);
    SetSrcReg(1, 3);
    m_TmpReg.x = m_Source[0].x * m_Source[1].x +
                 m_Source[0].y * m_Source[1].y +
                 m_Source[0].z * m_Source[1].z;
    m_TmpReg.y = m_Source[0].x * m_Source[2].x +
                 m_Source[0].y * m_Source[2].y +
                 m_Source[0].z * m_Source[2].z;
    m_TmpReg.z = m_Source[0].x * m_Source[3].x +
                 m_Source[0].y * m_Source[3].y +
                 m_Source[0].z * m_Source[3].z;

    WriteResult();

Expansion

The following m3x3 instruction

m3x3   r5, v0, c[3]

expands to

dp3   r5.x, v0, c[3]
dp3   r5.y, v0, c[4]
dp3   r5.z, v0, c[5]

Therefore, this macro instruction consumes three instruction slots from the instruction count. Note that the last w-component in c[3], c[4], and c[5] is ignored in this computation.

Remarks

The input vector is at vSrc0 and the input 3x3 matrix is at mSrc1 and the two subsequent registers in the same register file.

This operation is commonly used for transforming normal vectors during lighting computations. This macro instruction is implemented as a series of dot products.