TorchLean API

FloatLib.Floats.ExecFloat.Backends.Word.Full.Division.Proof

Verified native normal-result division for binary64 #

The native path generates quotient bits with a restoring UInt64 loop. Every accepted result equals the generic finite kernel's result, and divFinite_eq_divFiniteComponents extends this agreement to the whole optional finite operation, declined inputs included.

Zeros and quotients outside the normal-result path use the generic finite kernel. Non-finite operands are handled by the outer arithmetic dispatcher.

Native finite division with its fallback equals the generic component kernel.