On Sun, 29 Jun 2008 10:03:46 -0400, Dan Upton <[EMAIL PROTECTED]> wrote:
On Sun, Jun 29, 2008 at 1:27 AM, Terry Reedy <[EMAIL PROTECTED]> wrote:
slix wrote:
Recursion is awesome for writing some functions, like searching trees
etc but wow how can it be THAT much slower for computing fibonacci-
numbers?
The comparison below has nothing to do with recursion versus iteration. (It
is a common myth.) You (as have others) are comparing an exponential,
O(1.6**n), algorithm with a linear, O(n), algorithm.
FWIW, though, it's entirely possible for a recursive algorithm with
the same asymptotic runtime to be wall-clock slower, just because of
all the extra work involved in setting up and tearing down stack
frames and executing call/return instructions. (If the function is
tail-recursive you can get around this, though I don't know exactly
how CPython is implemented and whether it optimizes that case.)
CPython doesn't do tail call elimination. And indeed, function calls
in Python have a much higher fixed overhead than iteration.
Jean-Paul
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