FA-14703 / Numerics / Member archive
Newton divided difference table: node span denominator · case 03
The exact newton divided difference table result violates the stated contract at node span denominator.
Case contract
Input distinct integer nodes and integer values [nodes,values]; return Newton coefficients [p,q] in original node order.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | [[-1, 1], [0, 1], [1, 3]] | [[-1, 1], [0, 1], [1, 5]] | 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 ↗