From: "Adam Beneschan" <adam@irvine.com>
Subject: Re: Unsigned Integer Restraint Errors
Date: 13 Mar 2007 10:31:57 -0700
Date: 2007-03-13T10:31:57-07:00 [thread overview]
Message-ID: <1173807117.252152.63410@h3g2000cwc.googlegroups.com> (raw)
In-Reply-To: <10l92gksnkfjl$.1rhbr6sokrtjy.dlg@40tude.net>
On Mar 13, 10:23 am, "Dmitry A. Kazakov" <mail...@dmitry-kazakov.de>
wrote:
>
> BTW, the arithmetic complexity can be further "reduced" by removing
> multiplication and computing k**2 using binomial decomposition
> (k+1)*(k+1)=k*k+2*k+1. So it could be:
>
> quadratic := 1; -- k*k, k=1
> linear := 2; -- 2*k+1, k=1
>
> loop
> linear := linear + 2; -- 2*k+1
> quadratic := quadratic + linear; -- k*k
> exit when k>=n;
> ...
> end loop;
Yep, that's certainly the way I'd do it on some of the *really* bare-
bones computers I occasionally had to work with---like the 6502 (used
in the Apple II). Some of those chips, including the 6502, didn't
come with integer multiplication or division.
-- Adam
next prev parent reply other threads:[~2007-03-13 17:31 UTC|newest]
Thread overview: 30+ messages / expand[flat|nested] mbox.gz Atom feed top
2007-03-12 15:07 Unsigned Integer Restraint Errors frikk
2007-03-12 16:27 ` Georg Bauhaus
2007-03-12 17:17 ` Adam Beneschan
2007-03-12 17:23 ` Adam Beneschan
2007-03-12 18:11 ` frikk
2007-03-12 20:00 ` frikk
2007-03-12 20:07 ` Adam Beneschan
2007-03-12 18:00 ` Dmitry A. Kazakov
2007-03-12 19:00 ` Martin Krischik
2007-03-12 21:13 ` Dmitry A. Kazakov
2007-03-12 19:13 ` frikk
2007-03-12 19:22 ` Randy Brukardt
2007-03-13 3:13 ` Jeffrey R. Carter
2007-03-13 3:00 ` Randy Brukardt
2007-03-13 12:09 ` frikk
2007-03-13 14:58 ` frikk
2007-03-13 15:31 ` frikk
2007-03-13 15:59 ` Robert A Duff
2007-03-13 16:18 ` Dmitry A. Kazakov
2007-03-13 16:21 ` Jeffrey R. Carter
2007-03-13 16:04 ` Adam Beneschan
2007-03-13 16:41 ` Adam Beneschan
2007-03-13 16:42 ` Adam Beneschan
2007-03-14 14:06 ` frikk
2007-03-13 17:23 ` Dmitry A. Kazakov
2007-03-13 17:31 ` Adam Beneschan [this message]
2007-03-14 0:54 ` Jeffrey R. Carter
2007-03-16 13:38 ` frikk
2007-03-13 16:16 ` Jeffrey R. Carter
2007-03-12 21:04 ` Dmitry A. Kazakov
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