Hi,

On 11 August 2011 16:24, Aaron Meurer <[email protected]> wrote:

> Indeed, I ran through it with a debugger, and one of the coefficients
> was a rational number whose numerator had 3410 digits and denominator
> had 3409 digits.  And that was just a random number I looked at half
> way through the execution; it could get much larger than that even.
> So actually, the test does not "hang", it just takes a really long
> time.
>
> By the way, the lex test finishes in a reasonable amount of time.
> It's only the grlex test that is slow.  And it's only the buchberger
> version (f5b is very fast in any case).
>
> I never realized that Python longs are (apparently) asymptotically
> slower than gmpy mpz.
>

Look at this graph:
http://mattpap.github.com/masters-thesis/html/images/ground-factor-large.png.
This shows factorization times of (1234*x + 123*y + 12*x + 1)**n. This was
done for integers, but in case of rationals (which are used in groebner())
the difference is even bigger.


>
> Aaron Meurer
>
> On Thu, Aug 11, 2011 at 7:53 AM, Mateusz Paprocki <[email protected]>
> wrote:
> > Hi,
> >
> > On 11 August 2011 15:49, Aaron Meurer <[email protected]> wrote:
> >>
> >> Skipping the test is a good workaround, but this should be
> >> investigated.  Python ground types should not be that much slower than
> >> gmpy.  I suspect there is a bug in PythonIntegerType or
> >> PythonRationalType.
> >
> > Coefficients in this test can have 60 digits and more, so it's quite
> > understandable why this test hangs under Python ground types. Skipping is
> > fine for now, but really this should be a conditional tests, i.e. do it
> if
> > gmpy is available and otherwise skip.
> >
> >>
> >> Aaron Meurer
> >>
> >> On Thu, Aug 11, 2011 at 7:40 AM, Tomo Lazovich <
> [email protected]>
> >> wrote:
> >> > For the record, I am also seeing this hanging in OS X (no gmpy
> either).
> >> >
> >> > On Thu, Aug 11, 2011 at 7:37 AM, Jeremias Yehdegho
> >> > <[email protected]>
> >> > wrote:
> >> >>
> >> >> On 08/11/2011 01:55 PM, smichr wrote:
> >> >> > groebnertools appears to hang starting with commit
> >> >>
> >> >> Thank you, fix: https://github.com/sympy/sympy/pull/539
> >> >>
> >> >> I think the problem was test_czichowski, which takes too long without
> >> >> gmpy (at least on my computer, now that I tried it without gmpy).
> >> >> Sorry.
> >> >>
> >> >> Kind Regards,
> >> >> Jeremias
> >> >>
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> > Mateusz
> >
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Mateusz

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