Comment #1 on issue 3162 by [email protected]: Wrong result from
as_real_imag
http://code.google.com/p/sympy/issues/detail?id=3162
Actually, if you assume z is real, you get the right answer:
In [70]: z = Symbol('z', real=True)
In [71]: w1 = sqrt((z + 2)/(z - 2))
In [72]: w1.as_real_imag()
Out[72]:
⎛ ⎛ ⎛ z + 2⎞⎞ ⎛ ⎛ z + 2⎞⎞ ⎞
⎜ ⎜atan2⎜0, ─────⎟⎟ ⎜atan2⎜0, ─────⎟⎟ ⎟
⎜ ⎜ ⎝ z - 2⎠⎟ _________ ⎜ ⎝ z - 2⎠⎟ _________⎟
⎜cos⎜───────────────⎟⋅╲╱ │z + 2│ sin⎜───────────────⎟⋅╲╱ │z + 2│ ⎟
⎜ ⎝ 2 ⎠ ⎝ 2 ⎠ ⎟
⎜────────────────────────────────, ────────────────────────────────⎟
⎜ _________ _________ ⎟
⎝ ╲╱ │z - 2│ ╲╱ │z - 2│ ⎠
This is perhaps related to issue 754.
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