[libre-riscv-dev] FP reciprocal sqrt extension proposal

Jacob Lifshay programmerjake at gmail.com
Thu Jul 11 11:45:24 BST 2019

I propose a Zfrsqrt extension that consists of the frsqrt.s, frsqrt.d,
frsqrt.q, and frsqrt.h instructions, where the 32-bit, 64-bit,
128-bit, and 16-bit versions require the corresponding F, D, Q, etc.
If only the F and Zfrsqrt extensions are supported, then only the
frsqrt.s instruction is supported.
If only the F, D, and Zfrsqrt extensions are supported, then only the
frsqrt.s and the frsqrt.d instructions are supported. Likewise for
frsqrt.q and frsqrt.h requiring the corresponding extensions enabled.

The operation implemented by frsqrt.* is a correctly-rounded
implementation of the IEEE 754-2008 rSqrt operation, with all the
usual FP rounding modes supported.

For the encoding, I think using an encoding similar to both the
fsqrt.* and fdiv.* encodings is a good idea, since frsqrt is similar
to both fdiv and fsqrt; Therefore, as an initial proposal, I think
using a funct7 value of 0111100 and the rest of the instruction
identical to fsqrt is a good idea, since, as far as I'm aware, that
doesn't conflict with anything currently.

We (libre-riscv.org) are currently planning on implementing frsqrt in
our libre GPU, since frsqrt is a common operation in 3D graphics (used
for vector normalization, among other things).

Comments, modifications, etc. welcome.

Jacob Lifshay

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