#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-6.4
Component: algebra | Resolution:
Keywords: polynomial division | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #2034 | Stopgaps:
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Description changed by jdemeyer:
Old description:
> 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
> }}}
New description:
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.
This is fixed by #2034, so this ticket just adds a doctest.
--
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Ticket URL: <http://trac.sagemath.org/ticket/16781#comment:3>
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