FA-17309 / Floating-point arithmetic / Member archive

Nearest floating remainder starts from floor-modulo residue · case 04

Nearest floating remainder starts from floor-modulo residue.

Member previewVariant 4 · 3 implementations · 12 checks per implementation

Case contract

For finite x and finite nonzero y, return the remainder x-n*y with n the nearest integer quotient, ties to even. The output has magnitude at most abs(y)/2; exact zero has the sign of x. 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
negative even tie	`"2"`	`"-2"`	Failed

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