FA-16304 / Floating-point arithmetic / Member archive

Exponential relative increment loses accuracy above its series switch · case 04

Exponential relative increment loses accuracy above its series switch.

Member previewVariant 4 · 3 implementations · 7 checks per implementation

Case contract

Evaluate expm1(x)/x with continuous value one at zero. Inputs are finite and have magnitude at most five. 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
transition	`"1.0000000494"`	`"1.00000005"`	Failed

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