FA-16620 / Floating-point arithmetic / Member archive
Exact ratio conversion forgets the fraction binary point · case 05
Exact ratio conversion forgets the fraction binary point.
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 |
|---|---|---|---|
| large integer | [166153499473114484112975882535043072, 1] | [36893488147419103232, 1] | Failed |
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