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Forward difference newton basis: difference orientation · case 02
The exact forward difference newton basis result violates the stated contract at difference orientation.
Case contract
Input nonempty integer sequence f(0)..f(n); return binomial-basis coefficients Delta^k f(0).
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, -2] | [-1, 2] | Failed |
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