Anything in the review queue?
Simen kjaeraas
simen.kjaras at gmail.com
Mon Mar 21 23:01:12 PDT 2011
On Tue, 22 Mar 2011 02:08:39 +0100, dsimcha <dsimcha at yahoo.com> wrote:
> The biggest perf issue, though, seems to be Euler's algorithm instead of
> BinaryGCD. This is definitely going to get fixed eventually by me,
> since I've read up on BinaryGCD and it doesn't look hard to implement
> generically. I naively thought Euler's algorithm was pretty darn
> efficient when I wrote the first version, not knowing much about how
> BigInts work under the hood. I'm not sure if Don had something even
> more efficient than a good generic BinaryGCD implementation in mind, or
> if there are other areas where a templated Rational is a Bad Idea,
> though.
The algorithmic complexity is the same for BinaryGCD as it is for normal
GCD. What Don had in mind was sub-quadratic. Might have been something
from this paper:
http://www.lysator.liu.se/~nisse/archive/S0025-5718-07-02017-0.pdf
Page 10 onwards claims subquadratic performance.
--
Simen
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