FA-16353 / Floating-point arithmetic / Member archive

Sinc folds the denominator along with the periodic numerator · case 03

Sinc folds the denominator along with the periodic numerator.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
phase crossing	`"0.13239120281"`	`"-0.1041555179"`	Failed

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