cmath, __float__ and __complex__

Mark Dickinson dickinsm at gmail.com
Thu Feb 15 18:52:13 EST 2007


I was a little surprised by the following behaviour:

Python 2.5 (r25, Oct 30 2006, 20:50:32)
[GCC 4.0.1 (Apple Computer, Inc. build 5363)] on darwin
Type "help", "copyright", "credits" or "license" for more information.
>>> from cmath import sqrt
>>> class NumericType1(object):
...     def __float__(self): return 10.0
...
>>> class NumericType2(object):
...     def __complex__(self): return 10+0j
...
>>> print sqrt(NumericType1())
(3.16227766017+0j)
>>> print sqrt(NumericType2())
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
TypeError: a float is required

Having recently made the pleasant discovery that math.sqrt and friends
will happily accept any object with a working __float__ attribute, I
expected the same to be true with regards to cmath and __complex__.
The bit that I find really counter-intuitive is that the cmath
functions will use __float__ if available, but completely ignore
__complex__.

Does anyone know of a good reason for the above behaviour?  Would a
patch to complexobject.c that `fixes' this be of any interest to
anyone but me?  Or would it likely break something else?

Mark




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