On Thu, Aug 11, 2011 at 8:31 AM, Mateusz Paprocki <[email protected]> wrote:
> 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.

Ah, so it may not really be asymptotic.  Perhaps gmpy just has a much
slower growth rate.  It's really hard to judge the degree of a
polynomial from a graph.

Aaron Meurer

>
>>
>> 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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