I'd bet you would stress your point Steven! But you don't need to persuade me, 
I do already agree.
I just meant to say that, when the advantage is little, there's no need to 
rewrite a working function.
And that with modern CPUs, if tests take so little time, that even some 
redundant one is not so much of a nuisance.
in your working example, the "payload" is just a couple of integer calculations, that take very little time too. So the overhead due to redundant if tests does show clearly. And also in that not-really-real situation, 60% overhead just meant less than 3 seconds. Just for the sake of discussion, I tried to give both functions some plough to pull, and a worst-case situation too:

>>> t1 = Timer('for x in range(100): print func1(0),',
...  'from __main__ import func1')
>>>
>>> t2 = Timer('for x in range(100): print func2(0),',
...  'from __main__ import func2')
>>>
>>> min(t1.repeat(number=1, repeat=1))
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1
53.011015366479114
>>> min(t2.repeat(number=1, repeat=1))
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1
47.55442856564332

that accounts for a scant 11% overhead, on more than one million tests per 
cycle.

That said, let's make really clear that I would heartily prefer func2 to func1, based both on readability and speed. Thank you for having spent some time playing with me!
Francesco

On 19/12/2010 1.05, Steven D'Aprano wrote:
Well, let's try it with a working (albeit contrived) example. This is
just an example -- obviously I wouldn't write the function like this in
real life, I'd use a while loop, but to illustrate the issue it will do.

def func1(n):
     result = -1
     done = False
     n = (n+1)//2
     if n%2 == 1:
         result = n
         done = True
     if not done:
         n = (n+1)//2
         if n%2 == 1:
             result = n
             done = True
     if not done:
         n = (n+1)//2
         if n%2 == 1:
             result = n
             done = True
     if not done:
         for i in range(1000000):
             if not done:
                 n = (n+1)//2
                 if n%2 == 1:
                     result = n
                     done = True
     return result


def func2(n):
     n = (n+1)//2
     if n%2 == 1:
         return n
     n = (n+1)//2
     if n%2 == 1:
         return n
     n = (n+1)//2
     if n%2 == 1:
         return n
     for i in range(1000000):
         n = (n+1)//2
         if n%2 == 1:
             return n
     return -1


Not only is the second far more readable that the first, but it's also
significantly faster:

from timeit import Timer
t1 = Timer('for i in range(20): x = func1(i)',
... 'from __main__ import func1')
t2 = Timer('for i in range(20): x = func2(i)',
... 'from __main__ import func2')
min(t1.repeat(number=10, repeat=5))
7.3219029903411865
min(t2.repeat(number=10, repeat=5))
4.530779838562012

The first function does approximately 60% more work than the first, all
of it unnecessary overhead.




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