Hi Peter,
Now, that doesn't sound like something that can get neatly meshed into
the Cauchy matrix scheme, I assume.
You are correct. Multiplication by 2^-1 cannot be used for the Cauchy method.
I used it to implement an alternate triple parity not requiring PSHUFB
that I used as reference for performance evaluation of the Cauchy way,
assuming that this implementation using powers of 1,2,2^-1 is the
fastest possible one.
Hopefully the difference is minimal, and the Cauchy method is
competitive even at triple parity.
Ciao,
Andrea