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Lagrange interpolation value: basis denominator orientation · case 03
The exact lagrange interpolation value result violates the stated contract at basis denominator orientation.
Case contract
Input [points,t] distinct integer abscissae and integer ordinates; exact rational interpolation value [p,q].
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 | [2, 1] | [-2, 1] | Failed |
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