FA-16474 / Floating-point arithmetic / Member archive

Complex logarithm normalizes by the smaller component · case 04

Complex logarithm normalizes by the smaller component.

Member previewVariant 4 · 3 implementations · 9 checks per implementation

Case contract

Principal logarithm of nonzero finite complex x+iy, using hypot and atan2; zero returns a pole marker. Inputs 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
negative real above	`"arithmetic-error"`	`["1.3862943611", "3.1415926536"]`	Failed

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