FA-14793 / Numerics / Member archive

Integer polynomial pseudodivision: pseudo quotient displacement · case 03

The exact integer polynomial pseudodivision result violates the stated contract at pseudo quotient displacement.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Input [A,B] integer ascending canonical nonzero polynomials degA>=degB; returns [scale, quotient, remainder] with scale*A=B*quotient+remainder, scale=lc(B)^(degA-degB+1).

Why this case matters

Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
explicit oracle 0	`[1, [-4], [-10, 2, -2]]`	`[1, [-6, -2], [-14]]`	Failed

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