For Sure Aaron, on it
Issue Opened:  Issue 
4007<https://code.google.com/p/sympy/issues/detail?id=4007&q=irrational&colspec=ID%20Type%20Status%20Priority%20Milestone%20Reporter%20Summary%20Stars>

On Wednesday, September 4, 2013 4:44:23 AM UTC+5:30, Aaron Meurer wrote:
>
> This is definitely a bug. 
>
> It looks like expand(complex=True) works. This is different from 
> expand_complex in that it also calls the other expand methods too, so that 
> it really ends up calling it on 1/(1 - I) and I/(1 - I).  So for now, I 
> guess you will have to use expand(expr, complex=True).as_real_imag(). But 
> add a note that just as_real_imag() should work.
>
> Can you open an issue at http://code.google.com/p/sympy/issues/list about 
> this. 
>
> If you want, you can also look into fixing it. Since (1 + I)/(1 - I) is 
> represented as Mul(1 + I, Pow(1 - I, -1)), the relevant code is 
> Mul.as_real_imag in sympy/core/mul.py. It looks like the algorithm is not 
> very general there. I think it works for 1/(1 - I) and I/(1 - I) because it 
> works when one of the arguments is completely real or completely imaginary, 
> but it should probably split it in the general case, at least when 
> deep=True.  Let me know if you want to take a shot at fixing this, and I 
> can help you out if you can't figure something out.  
>
> Aaron Meurer
>
>
> On Tue, Sep 3, 2013 at 11:19 AM, Chetna Gupta <chet...@gmail.com<javascript:>
> > wrote:
>
>> Inorder to get the real and imaginary parts of an irrational function, i 
>> have tried the following functions
>> 1) as_real_imag()
>> 2) expand_complex()
>>
>> While they work for most of the cases, both of them seem to fail when I 
>> have irrational functions in the denominator.
>>
>> For example for the case (i + i)/(i-I) I get the following outputs and 
>> not simply 0, i. Could someone suggest wayout to derive the real and imag 
>> parts for such cases other than above. While i have implemented a method 
>> for doing the same in 
>> https://github.com/sympy/sympy/pull/2380/files#L5R82_  (that is 
>> real_imag in prde.py) it does not takes into account more general cases. 
>> Any suggestions for making it to work for cases when I have arbitrary 
>> expressions, not just rational functions as coefficients of the arguments
>>
>>
>> <https://lh4.googleusercontent.com/-lV8yyuvCwsY/UiYXK3BOz1I/AAAAAAAAB08/iQrn_o7gta0/s1600/Screenshot+from+2013-09-03+22%3A36%3A17.png>
>>  
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