Comment #1 on issue 1985 by [email protected]: as_real_imag() gives
wrong answer when expanding quotient
http://code.google.com/p/sympy/issues/detail?id=1985
A simple workaround is to use expand(complex=True, deep=True). Actually,
all as_real_imag() does is expand(complex=True, deep=False), take each term
and see if it can be written as a coefficient of I, but
In [5]: e.expand(complex=True, deep=False)
Out[5]: im(x)/2 + I*im(x) + I*(I*im(x) + re(x))/2 - I*re(x)/2 + re(x)
In [6]: _.args
Out[6]: (I*im(x), I*(I*im(x) + re(x))/2, im(x)/2, re(x), -I*re(x)/2)
In [7]: _[1].as_coefficient(S.I)
In [8]:
So that term goes into the real part. I tried using expand(complex=True,
deep=True) inside as_real_imag(), but then a lot of tests fail, including
one exception with max recursion depth exceeded, and I don't know why.
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