On Fri, Oct 2, 2009 at 9:30 PM, rjf <fate...@gmail.com> wrote:
>
> hey, factoring-testing guys..
> If you make up factoring problems this way, you are probably not doing
> much testing of the real factoring algorithms. Repeated factors like

I for one am very grateful for this bug report.   Andy is doing a superb job.

William

> this of different degree are detected by so-called square-free
> factorization.
> The time to factor F in Maxima is, to the resolution of the clock,
> 0.0000 seconds on
> a 3GHz Intel machine.
>
> F can also be entirely factored by the sqfr program, which uses a 5
> line program involving
> differentiation, GCD, and division.  So the problem is essentially no
> harder than factoring f and g separately.
>
> There are papers that show how to construct polynomials that are
> difficult to factor.
>
> I dunno about the Sage wrapper problem.  If that's the difficulty,
> maybe the subject line is wrong.
> RJF
>
>
>
>
> On Oct 1, 1:21 am, Andy Novocin <a...@novocin.com> wrote:
>> By the way, last October I made a patch for NTL which makes NTL's
>> factoring significantly faster than even MAGMA's in some cases.  I
>> think that the degree flags < 30 and > 300 for NTL's factoring
>> (provided my patch went in) needs to be revisited anyway.
>>
>> On Oct 1, 8:37 am, Robert Bradshaw <rober...@math.washington.edu>
>> wrote:
>>
>> > On Sep 30, 2009, at 8:25 PM, William Stein wrote:
>>
>> > > On Wed, Sep 30, 2009 at 7:13 PM, Marshall Hampton
>> > > <hampto...@gmail.com> wrote:
>>
>> > >> Wow, that's quite disturbing.  Did you make a trac ticket for this?
>>
>> > > I've made this:
>>
>> > >http://trac.sagemath.org/sage_trac/ticket/7088
>>
>> > > and made it a 4.1.2 blocker, since it a serious bug.  The problem is
>> > > in the _factor_pari method in Sage.  It's almost certainly a bug in
>> > > Sage's wrapper of Pari for factoring in the non-monic case.  The
>> > > solution will be either to fix that (good) or use the ntl wrapper
>> > > (wimpy).
>>
>> > Wow, it looks like this bug has been around since the very first
>> > checkin. I posted a patch.
>>
>> > - Robert
>>
>>
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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