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Newton divided difference table: node span denominator · case 05
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], [1, 2], [-1, 6]] | [[-1, 1], [1, 2], [-1, 10]] | Failed |
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