FAILURE MAP
← Case archive

FA-14910 / Numerics / Member archive

Quadratic surd period: period closing criterion · case 05

The exact quadratic surd period result violates the stated contract at period closing criterion.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Input positive nonsquare D; return [floor(sqrt(D)), repeating continued fraction coefficients]. Bounds: 2<=D<=99.

Why this case matters

Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixtureActualExpectedOutcome
explicit oracle 0[2, [1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4]][2, [1, 1, 1, 4]]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.

Sign in to the archive ↗