FA-16100 / Floating-point arithmetic / Member archive

ULP distance complements the second negative encoding without zero alignment · case 05

ULP distance complements the second negative encoding without zero alignment.

Member previewVariant 5 · 3 implementations · 9 checks per implementation

Case contract

Distance between finite binary64 values in representable steps, treating the two zeros as a single position; NaN or infinity yields null. Negative and positive subnormals are adjacent through zero.

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 adjacent	`9223372036854775810`	`1`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.