Albert van der Horst
albert at spenarnc.xs4all.nl
Tue Nov 4 01:46:06 CET 2014
In article <mailman.15076.1413990100.18130.python-list at python.org>,
Ned Batchelder <ned at nedbatchelder.com> wrote:
>On 10/22/14 5:27 AM, ast wrote:
>> "Chris Angelico" <rosuav at gmail.com> a Ã©crit dans le message de
>> news:mailman.15058.1413968065.18130.python-list at python.org...
>>> On Wed, Oct 22, 2014 at 7:27 PM, ast <nomail at invalid.com> wrote:
>>>> If i am writing (-1)**1000 on a python program, will the
>>>> interpreter do (-1)*(-1)*...*(-1) or something clever ?
>>>> In fact i have (-1)**N with N an integer potentially big.
>>> Exponentiation is far more efficient than the naive implementation of
>>> iterated multiplication.
>> In the very particular case of (-1)**N, I belive that Python check
>> the odd or even parity of N and provides the result accordingly.
>> I tried:
>> and it is instantaneous
>Keep in mind that actually calculating the exponentiation wouldn't do
>1000000000000000000000000000000000 multiplications anyway: the clever
>way to do integer powers is by squaring based on the binary
>representation of the exponent. It's explained here:
>So even if Python is actually calculating the value, it's only doing 75
>multiplications or so.
I'm pretty sure that if we replace -1 by 2 , it never gets at its 75-th
>Ned Batchelder, http://nedbatchelder.com
Albert van der Horst, UTRECHT,THE NETHERLANDS
Economic growth -- being exponential -- ultimately falters.
albert at spe&ar&c.xs4all.nl &=n http://home.hccnet.nl/a.w.m.van.der.horst
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