FA-17285 / Floating-point arithmetic / Member archive

Complex exponential uses the sine for its real projection · case 05

Complex exponential uses the sine for its real projection.

Member previewVariant 5 · 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
negative real projection	`["134.95170368", "134.95170368"]`	`["-61.761666663", "134.95170368"]`	Failed

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