FA-17047 / Floating-point arithmetic / Member archive
Log ratio reverses the distant logarithm difference · case 02
Log ratio reverses the distant logarithm difference.
Case contract
Evaluate log(a/b) for positive finite endpoints without overflowing an intermediate quotient and without cancellation for nearby operands. Finite results are rendered to eleven significant decimal digits; modeled domain violations and arithmetic errors are explicit strings.
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 |
|---|---|---|---|
| overflowing quotient | "-1382.244203" | "1382.244203" | Failed |
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