FA-6410 / Discrete calculus / Member archive

Linear extrapolation last slope · case 05

Last-value persistence discards the final slope.

Member previewVariant 5 · 3 implementations · 4 checks per implementation

Case contract

Integer sample values and compatible sample-array lengths. Rational results are reduced Fraction strings; spacing is positive unless explicitly stated otherwise. Linear extrapolation last slope. Exact operational definition: 2*values[-1]-values[-2] if len(values)>1 else None

Why this case matters

Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Discrete calculus results depend on the stated convention.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
fixture 1: ([1, 3, 5],)	`5`	`7`	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.