FA-16233 / Floating-point arithmetic / Member archive

Inverse sine uses a cancellation-prone logarithm for tiny inputs · case 03

Inverse sine uses a cancellation-prone logarithm for tiny inputs.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Evaluate inverse hyperbolic sine for finite binary64 values with tiny-value preservation and a large-value logarithmic branch. 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
tiny	`"0"`	`"2.602085214e-18"`	Failed

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