#18467: PolynomialRealDense.quo_rem() returns zero polynomials with wrong degree
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Reporter: pbruin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: basic | Keywords: polynomial degree quo_rem
arithmetic | Authors:
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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In Sage 6.7, the following is correct:
{{{
sage: R.<x> = QQ[]
sage: z = R.zero()
sage: z.degree()
-1
sage: q, r = z.quo_rem(x)
sage: q.degree()
-1
}}}
The following (`QQ` -> `RR`) is not:
{{{
sage: S.<x> = RR[]
sage: z = S.zero()
sage: z.degree()
-1
sage: q, r = z.quo_rem(x)
sage: q.degree()
-2
}}}
The last result should be `-1`; the given answer implies for example
{{{
sage: q == z
False
}}}
which is nonsense since `q` and `z` are both the zero polynomial.
--
Ticket URL: <http://trac.sagemath.org/ticket/18467>
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