OK, I've fixed it in my integration3 branch (I noticed it while
merging in the latest changes from master).

Aaron Meurer

On Tue, Jul 5, 2011 at 9:04 PM, Mateusz Paprocki <[email protected]> wrote:
> Hi,
>
> On 6 July 2011 04:59, Aaron Meurer <[email protected]> wrote:
>>
>> I just noticed that RealDomain.div was recently cleared (i.e., the
>> contents of the function were deleted, but not the function itself,
>> nor its docstring).  This was done by the commit (I also pasted the
>> first part of the diff, so you could see what I am talking about)
>>
>> commit 75c8d2d65085895c30be515a99c2413e311df873
>> Author: Mateusz Paprocki <[email protected]>
>> Date:   Sat May 21 13:21:44 2011 +0200
>>
>>    Enabled preprocessing algorithm in roots() (#1868)
>>
>>    This allows to do the following:
>>
>>    In [1]: var('J,L,E,F')
>>    Out[1]: (J, L, E, F)
>>
>>    In [2]: f = -21601054687500000000*E**8*J**8/L**16 + \
>>       ...:     508232812500000000*F*x*E**7*J**7/L**14 - \
>>       ...:     4269543750000000*E**6*F**2*J**6*x**2/L**12 + \
>>       ...:     16194716250000*E**5*F**3*J**5*x**3/L**10 - \
>>       ...:     27633173750*E**4*F**4*J**4*x**4/L**8 + \
>>       ...:     14840215*E**3*F**5*J**3*x**5/L**6 + \
>>       ...:     54794*E**2*F**6*J**2*x**6/(5*L**4) - \
>>       ...:     1153*E*J*F**7*x**7/(80*L**2) + \
>>       ...:     633*F**8*x**8/160000
>>
>>    In [3]: roots(f.evalf(), x)
>>    Out[3]:
>>    ⎧97.1168816800648⋅E⋅J     791.549343830097⋅E⋅J     1273.16678129348⋅E⋅J
>>    ⎪────────────────────: 1, ────────────────────: 1,
>> ────────────────────: 1,
>>    ⎨           2                        2                        2
>>    ⎪        F⋅L                      F⋅L                      F⋅L
>>    ⎩
>>
>>     503.441004174773⋅E⋅J     186.946430171876⋅E⋅J     1850.10650616851⋅E⋅J
>>     ────────────────────: 1, ────────────────────: 1,
>> ────────────────────: 1,
>>                2                        2                        2
>>             F⋅L                      F⋅L                      F⋅L
>>
>>     245.526792947065⋅E⋅J     -1304.88375606366⋅E⋅J   ⎫
>>     ────────────────────: 1, ─────────────────────: 1⎪
>>                2                         2           ⎬
>>             F⋅L                       F⋅L            ⎪
>>                                                      ⎭
>>
>> diff --git a/sympy/polys/domains/realdomain.py
>> b/sympy/polys/domains/realdomain.py
>> index b8dad3f..202b2ab 100644
>> --- a/sympy/polys/domains/realdomain.py
>> +++ b/sympy/polys/domains/realdomain.py
>> @@ -102,4 +102,11 @@ def rem(self, a, b):
>>
>>     def div(self, a, b):
>>         """Division of `a` and `b`, implies `__div__`. """
>> -        return a / b, self.zero
>> +
>> +    def gcd(self, a, b):
>> +        """Returns GCD of `a` and `b`. """
>> +        return self.one
>> +
>> +    def lcm(self, a, b):
>> +        """Returns LCM of `a` and `b`. """
>> +        return a*b
>>
>> Was this intentional?
>
> No. This happened by accident. It seems that RR.div isn't used anywhere in
> the code, but anyway, this has to be fixed.
>
>>
>> Aaron Meurer
>
> Mateusz

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