FA-16265 / Floating-point arithmetic / Member archive

Inverse cosine overflows while squaring a finite input · case 05

Inverse cosine overflows while squaring a finite input.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Evaluate inverse hyperbolic cosine for finite x>=1. Use logarithmic scaling for huge inputs and a log1p expression near one. 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	`"+infinity"`	`"693.07811299"`	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.