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, one-word UInt64, and native-storage kernels.

Accepted kernel results and the generic fallback all agree with Spec.fma, including its exceptional-value policy.

Compact generic FMA preserves the public exact-dyadic operation.

Word-specialized fused multiply-add agrees with Spec.fma.