FA-16685 / Floating-point arithmetic / Member archive

Interpolation forms an overflowing difference across signs · case 05

Interpolation forms an overflowing difference across signs.

Member previewVariant 5 · 3 implementations · 10 checks per implementation

Case contract

Interpolate finite a and b at t in [0,1], preserving endpoints and avoiding overflow in a difference or an endpoint sum. Return domain marker outside the interval. 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
opposite extremes	`"1e+308"`	`"0"`	Failed

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