FA-16627 / Floating-point arithmetic / Member archive
Exact ratio conversion returns a zero denominator for zero · case 02
Exact ratio conversion returns a zero denominator for zero.
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 fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| zero | [0, 0] | [0, 1] | Failed |
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