FA-17000 / Floating-point arithmetic / Member archive

Exponential divided difference divides by an unsigned separation · case 05

Exponential divided difference divides by an unsigned separation.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

Case contract

Evaluate (exp(b)-exp(a))/(b-a) with continuous value exp(a) when a=b. Fixture exponents are bounded; use expm1 for close endpoints. 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
reverse	`"-29.482631821"`	`"29.482631821"`	Failed

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