TorchLean API

FloatLib.Floats.ExecFloat.Backends.Dispatch.FmaWord.Proof

Correctness of word-specialized fused multiply-add dispatch #

Fused multiply-add forms the exact product-plus-addend before one rounding step. The refinements here establish that contract for the binary32, binary64, and reusable small-word kernels.

Accepted kernel results and the generic fallback all agree with Spec.fma, including its exceptional-value policy. Runtime clients can import FmaWord.Runtime separately.

Compact generic FMA preserves the public exact-dyadic operation.

Native-word or generic fused multiply-add preserves the logical operation.