FA-17233 / Floating-point arithmetic / Member archive

Scaled square root rounds the exponent quotient upward · case 03

Scaled square root rounds the exponent quotient upward.

Member previewVariant 3 · 3 implementations · 9 checks per implementation

Case contract

Nonnegative square root of finite binary64 x via exponent normalization. Negative input returns domain; negative zero is preserved. 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
huge	`"2e+150"`	`"1e+150"`	Failed

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