FA-17170 / Floating-point arithmetic / Member archive

Split base-two exponential underflows its scale before multiplication · case 05

Split base-two exponential underflows its scale before multiplication.

Member previewVariant 5 · 3 implementations · 9 checks per implementation

Case contract

Compute 2**x for finite x by separating its integer exponent from a bounded fractional exponential. Values x>=1024 return positive infinity; x<=-1075 return positive zero under nearest-even rounding. 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
subnormal half above	`"0"`	`"4.9406564584e-324"`	Failed

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