FA-16448 / Floating-point arithmetic / Member archive

Positive-real square root subtracts nearly equal radii · case 03

Positive-real square root subtracts nearly equal radii.

Member previewVariant 3 · 3 implementations · 10 checks per implementation

Case contract

Principal complex square root for finite components, using stable branch reconstruction and preserving the imaginary signed-zero side of the negative real branch cut. Fixtures keep hypot finite. 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 imaginary	`["2", "0"]`	`["2", "7.5e-201"]`	Failed

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