Le mardi 24 juillet 2012 à 18:37 +0300, Sergiu Ivanov a écrit :
> On Mon, Jul 23, 2012 at 9:52 PM, Aaron Meurer <[email protected]> wrote:
> > On Jul 23, 2012, at 12:33 PM, Sergiu Ivanov <[email protected]> 
> > wrote:
> >
> >> On Mon, Jul 23, 2012 at 9:17 PM, Aaron Meurer <[email protected]> wrote:
> >>> On Jul 23, 2012, at 2:20 AM, Sergiu Ivanov <[email protected]> 
> >>> wrote:
> >>>
> >>>> On Sun, Jul 22, 2012 at 11:44 PM, Aaron Meurer <[email protected]> 
> >>>> wrote:
> >>>>>
> >>>>> Can you be more specific?  Most likely, one of the results is "better"
> >>>>> than the other, and the algorithm should be fixed to always give it
> >>>>> regardless of ordering.
> >>>>
> >>>> FiniteSet._complement works as follows:
> >>>>
> >>>>>>> from sympy import FiniteSet
> >>>>>>> FiniteSet(1, 2, 3).complement
> >>>> (-oo, 1) U (1, 2) U (2, 3) U (3, oo)
> >>>>
> >>>> I'm not sure this result can be achieved more efficiently by a
> >>>> different approach then sorting the elements.
> >>>
> >>> This is the exact same as FiniteSet itself. Union's args do not need
> >>> to be sorted except within the printer.
> >>
> >> I was referring to the fact that, for example, FiniteSet(3, 1,
> >> 2).complement should return the same result.
> >>
> >> In other words, to get the complement relative to RR, one has to sort
> >> the numbers in the FiniteSet first, because otherwise one may get
> >> stuff like (-oo, 3) U (1, 2) U (2, oo).
> >
> > Well this answer is simply wrong.
> 
> Obviously; that's why one needs to sort the elements of the FiniteSet
> when computing the complement with respect to real numbers.

The elements need to be sorted by value, not by sort_key, so this case
is unrelated to the current discussion. 

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