FA-15015 / Numerics / Member archive
Best bounded rational: tie selection · case 05
The exact best bounded rational result violates the stated contract at tie selection.
Case contract
Input [p,q,B], q>0 B>0; nearest rational to p/q with denominator<=B, ties choose smaller rational then denominator.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | [-11, 1] | [-12, 1] | Failed |
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