FA-16613 / Floating-point arithmetic / Member archive

Exact ratio conversion omits the normal hidden bit · case 03

Exact ratio conversion omits the normal hidden bit.

Member previewVariant 3 · 3 implementations · 11 checks per implementation

Case contract

Decode a finite binary64 value into its exact reduced signed numerator and positive power-of-two denominator, using (0,1) for either zero. Infinity and NaN return null.

Why this case matters

An offline floating representation model isolates a reproducible arithmetic fault.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
large integer	`[0, 1]`	`[9223372036854775808, 1]`	Failed

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