I just realised that the this issue is related to pull request #2481 
(https://github.com/sympy/sympy/pull/2481).
The test failures that are currently present in #2481 are due to the issue 
described here.

The proposed bug fix would thus be necessary for #2481 as well.

How to proceed? Shall the fix be added to #2481?

Best regards,
Heiner


Am Mittwoch, 2. Oktober 2013 03:42:04 UTC+2 schrieb Aaron Meurer:
>
> The PythonRational is the rational type internal to the polys module 
> when the Python ground types are used. It is designed to be fast. 
> Rational on the other hand is designed to play well with the rest of 
> SymPy. You can get even faster, by the way, if you install gmpy. 
>
> But yeah, you are right, it would be better to use the Rational 
> version of __int__ in PythonRational. Please submit a pull request 
> with your fix (and also add a test for it). 
>
> Aaron Meurer 
>
>
> On Tue, Oct 1, 2013 at 9:20 AM, Heiner Kirchhoffer 
> <heiner.ki...@gmail.com <javascript:>> wrote: 
> > Hello, 
> > 
> > When using the branch "fix-root-isolation-bounds" of repository 
> > "https://github.com/mattpap/sympy.git";, the following code produces an 
> > OverflowError: 
> > 
> > a = x**45 - 45*x**44 + 990*x**43 - 14190*x**42 + 148995*x**41 - 
> > 1221759*x**40 + 8145060*x**39 - 45379620*x**38 + 215553195*x**37 - 
> > 886163135*x**36 + 3190187286*x**35 - 10150595910*x**34 + 
> 28760021745*x**33 - 
> > 73006209045*x**32 + 166871334960*x**31 - 344867425584*x**30 + 
> > 646626422970*x**29 - 1103068603890*x**28 + 1715884494940*x**27 - 
> > 2438362177020*x**26 + 3169870830126*x**25 - 3773655750150*x**24 + 
> > 4116715363800*x**23 - 4116715363800*x**22 + 3773655750150*x**21 - 
> > 3169870830126*x**20 + 2438362177020*x**19 - 1715884494940*x**18 + 
> > 1103068603890*x**17 - 646626422970*x**16 + 344867425584*x**15 - 
> > 166871334960*x**14 + 73006209045*x**13 - 28760021745*x**12 + 
> > 10150595910*x**11 - 3190187286*x**10 + 886163135*x**9 - 215553195*x**8 + 
> > 45379620*x**7 - 8145060*x**6 + 1221759*x**5 - 148995*x**4 + 14190*x**3 - 
> > 990*x**2 + 46*x - 1 
> > 
> > b = x**46 - 46*x**45 + 1035*x**44 - 15180*x**43 + 163185*x**42 - 
> > 1370754*x**41 + 9366819*x**40 - 53524680*x**39 + 260932815*x**38 - 
> > 1101716330*x**37 + 4076350421*x**36 - 13340783196*x**35 + 
> 38910617655*x**34 
> > - 101766230790*x**33 + 239877544005*x**32 - 511738760544*x**31 + 
> > 991493848554*x**30 - 1749695026860*x**29 + 2818953098830*x**28 - 
> > 4154246671960*x**27 + 5608233007146*x**26 - 6943526580276*x**25 + 
> > 7890371113950*x**24 - 8233430727600*x**23 + 7890371113950*x**22 - 
> > 6943526580276*x**21 + 5608233007146*x**20 - 4154246671960*x**19 + 
> > 2818953098830*x**18 - 1749695026860*x**17 + 991493848554*x**16 - 
> > 511738760544*x**15 + 239877544005*x**14 - 101766230790*x**13 + 
> > 38910617655*x**12 - 13340783196*x**11 + 4076350421*x**10 - 
> 1101716330*x**9 + 
> > 260932815*x**8 - 53524680*x**7 + 9366819*x**6 - 1370754*x**5 + 
> 163185*x**4 - 
> > 15180*x**3 + 1035*x**2 - 47*x + 1 
> > 
> > p = a * b 
> > 
> > r = sympy.intervals(p) 
> > 
> > 
> > 
> > Without using the branch "fix-root-isolation-bounds", an error related 
> to 
> > the issue addressed in "fix-root-isolation-bounds" would happen first 
> and 
> > the current error wouldn't happen at all. 
> > 
> > The problem can be reduced to: 
> > 
> > r = sympy.polys.domains.PythonRational( 1, 
> > 
> 3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056)
>  
>
> > 
> > r = int( r ) 
> > 
> > 
> > A "PythonRational" with large denominator is converted to int. 
> > 
> > It is not clear to me why there exists a class PythonRational and a 
> class 
> > Rational. 
> > However, if the problem should be fixed inside of PythonRational, 
> shouldn't 
> > the __int__ function of PythonRational be exactly like the one of 
> Rational? 
> > 
> > See: 
> > 
> https://github.com/HeinerKirchhoffer/sympy/commit/5ad7031f1b3688780b4b44ec433cf0a396f50275
>  
> > 
> > Best regards, 
> > Heiner 
> > 
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