FA-17292 / Floating-point arithmetic / Member archive

Complex exponential reverses the rescaling exponent · case 02

Complex exponential reverses the rescaling exponent.

Member previewVariant 2 · 3 implementations · 8 checks per implementation

Case contract

Compute exp(x+iy) for finite components using binary exponent splitting. Fixtures keep each final component finite or zero, including cases where exp(x) alone overflows. Return two rendered components; exact trigonometric zeros are preserved. 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
overflowing common factor	`["4.8880544343e-309", "1.5796728483e+308"]`	`["1.5796728483e+308", "1.5796728483e+308"]`	Failed

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