complex("nan") raises "ValueError: complex() arg is a malformed string"  while complex(float("nan")) returns (nan+0j). This was reported in http://bugs.python.org/issue2121 with the conclusion "wont fix".

complex("inf") has the same behaviors.

The implementation in complexobject.c says 


    /* a valid complex string usually takes one of the three forms:

         <float>                  - real part only
         <float>j                 - imaginary part only
         <float><signed-float>j   - real and imaginary parts

       where <float> represents any numeric string that's accepted by the
       float constructor (including 'nan', 'inf', 'infinity', etc.), and
       <signed-float> is any string of the form <float> whose first
       character is '+' or '-'.

This comment is wrong and it distracted me for a while as I tried to figure out why complex("nan") wasn't working. It should be fixed, with the word "including" replaced by "excluding".

I don't have a real need for complex("nan") support - this was of intellectual interest only. Also of intellectual interest, PyPy 1.4 does accept complex("nan") but converts complex("nan+nanj") to (nannanj), so it suffers from the strange corner cases which Raymond points out when advocating for "wont fix."

Because