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.

Sergiu

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