FA-14934 / Numerics / Member archive
Pell positive solutions: quadratic unit irrational product · case 04
The exact pell positive solutions result violates the stated contract at quadratic unit irrational product.
Case contract
Input [D,u,v,k], known positive fundamental solution u^2-D*v^2=1, k>=0; return first k positive solutions.
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 | [[3, 3], [21, 15], [123, 93], [741, 555]] | [[3, 2], [17, 12], [99, 70], [577, 408]] | Failed |
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