FA-17003 / Floating-point arithmetic / Member archive

Exponential divided difference reverses its exponent separation · case 03

Exponential divided difference reverses its exponent separation.

Member previewVariant 3 · 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
forward	`"0.31673764388"`	`"6.3618456411"`	Failed

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