FA-16342 / Floating-point arithmetic / Member archive
Sinc series has the hyperbolic sine curvature · case 02
Sinc series has the hyperbolic sine curvature.
Case contract
Evaluate sin(x)/x on finite x with continuous value one at zero. Tiny values use the fourth-degree even series. 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 fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| small | "1.0000000067" | "0.99999999333" | Failed |
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