#16781: Implementation of floordiv is incorrect for polynomials over finite
fields
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Reporter: cremona | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.3
Component: algebra | Keywords: polynomial division
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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As reported on sage-devel, the following is incorrect:
{{{
sage: F = GF(47)
sage: x = polygen(F)
sage: u = F(1)
sage: x//u
0
}}}
since {{{x//u}}} should give the quotient after dividing x by u.
Volker Braun revealed that this is caused by a bug in
Polynomial_zmod_flint, causing the remainder to be returned instead of the
quotient:
{{{
sage: F = GF(47)
sage: x = polygen(F)
sage: u = F(1)
sage: x.quo_rem(u)
(x, 0)
sage: x // u # should be quo
0
sage: x % u # is rem
0
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/16781>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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