FA-16962 / Floating-point arithmetic / Member archive
Power increment moves the exponent inside log1p · case 02
Power increment moves the exponent inside log1p.
Case contract
Evaluate (1+x)**y without first rounding a small increment into unity. Domain requires x>-1; y is finite, and fixtures have finite results. 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 |
|---|---|---|---|
| tiny amplified | "3" | "7.3890560989" | Failed |
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