FA-17287 / Floating-point arithmetic / Member archive

Complex exponential uses cosine for its imaginary projection · case 02

Complex exponential uses cosine for its imaginary projection.

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
negative real projection	`["-3.0749323206", "-3.0749323206"]`	`["-3.0749323206", "6.7188496974"]`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.