FA-16308 / Floating-point arithmetic / Member archive

Relative logarithm assigns zero to a removable singularity · case 03

Relative logarithm assigns zero to a removable singularity.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Evaluate log1p(x)/x on x>-1 with continuous value one at zero. 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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
zero	`"0"`	`"1"`	Failed

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