From: Adam Beneschan <adambeneschan@gmail.com>
Subject: Re: Integers and Mathematical Correctness
Date: Mon, 29 Sep 2014 07:58:56 -0700 (PDT)
Date: 2014-09-29T07:58:56-07:00 [thread overview]
Message-ID: <86b50b2e-57ad-47f3-bdaf-b98abcb722be@googlegroups.com> (raw)
In-Reply-To: <1vtp35phxa6d9$.ni9xlewi7r5v.dlg@40tude.net>
On Sunday, September 28, 2014 12:47:18 AM UTC-7, Dmitry A. Kazakov wrote:
> > Therefore, any
> > operation that returns a modular type will automatically convert a
> > negative value to the value modulo the modulus.
>
> No. This is a description of some possible implementation of the operation
> based on an integer type. This is not the only one implementation, e.g.
> there exist machine instructions directly implementing modular operations
> for moduli 2**16, 2**32 ...
I'm not sure we're on the same page... I'm talking about modular types in Ada, and my statement is taken directly from RM 3.5.4(19). (Of course, it's always possible for a clever optimizing compiler to generate code that skips a step.)
> I also do not understand how all this might be related to rational numbers,
> which are neither integer nor modular.
There's no relation. The post from Vincent that started this said "I thing [sic] there are two problems with the current Ada implementation :", and then he described two separate problems, one dealing with modular types and one dealing with rational numbers. (It's just a coincidence that both involved division, I think.)
-- Adam
next prev parent reply other threads:[~2014-09-29 14:58 UTC|newest]
Thread overview: 56+ messages / expand[flat|nested] mbox.gz Atom feed top
2001-10-31 20:27 Integers and Mathematical Correctness chris.danx
2001-10-31 21:21 ` David C. Hoos
2001-10-31 22:16 ` chris.danx
2001-10-31 22:47 ` David C. Hoos
2001-10-31 22:55 ` chris.danx
2001-10-31 23:16 ` Matthew Heaney
2001-10-31 21:42 ` Mark Johnson
2001-11-01 18:57 ` Mark Johnson
2001-11-01 14:32 ` Wes Groleau
2001-11-01 16:18 ` wilhelm.spickermann
2001-11-01 16:48 ` chris.danx
2001-11-01 15:45 ` Charles Sampson
2001-11-01 16:20 ` Marin David Condic
2001-11-03 17:02 ` Richard Riehle
2001-11-05 14:47 ` Marin David Condic
2001-11-06 3:53 ` Eric G. Miller
2001-11-06 4:28 ` James Rogers
2001-11-06 6:06 ` peter
2001-11-06 14:48 ` James Rogers
2001-11-06 15:54 ` Marin David Condic
2001-11-07 3:44 ` Eric G. Miller
2001-11-01 17:10 ` chris.danx
2001-11-01 17:52 ` Chad Robert Meiners
2001-11-01 19:02 ` chris.danx
2001-11-01 17:57 ` Wes Groleau
2001-11-03 14:57 ` Charles Sampson
2001-11-01 16:11 ` Charles Lindsey
2001-11-01 18:40 ` Wilhelm Spickermann
2001-11-01 19:18 ` chris.danx
2001-11-02 1:37 ` Steven Deller
2014-09-26 9:07 ` vincent.diemunsch
2014-09-26 16:38 ` Niklas Holsti
2014-09-26 16:58 ` AdaMagica
2014-09-26 17:51 ` Adam Beneschan
2014-09-27 9:01 ` AdaMagica
2014-09-27 10:15 ` AdaMagica
2014-09-27 16:32 ` Niklas Holsti
2014-09-27 16:49 ` Jeffrey Carter
2014-09-27 18:52 ` Niklas Holsti
2014-09-27 18:54 ` Adam Beneschan
2014-09-27 19:07 ` Adam Beneschan
[not found] ` <3489504a-f82b-4fec-8a6c-7cb91854dd1e@googlegroups.com>
2014-09-27 19:21 ` AdaMagica
2014-09-27 11:44 ` gautier_niouzes
2014-09-26 16:41 ` Adam Beneschan
2014-09-26 16:46 ` Adam Beneschan
2014-09-27 15:21 ` vincent.diemunsch
[not found] ` <34da5a39-9fa3-4e8e-a3f9-98f61a4ebcc7@googlegroups.com>
2014-09-28 7:47 ` Dmitry A. Kazakov
2014-09-29 14:58 ` Adam Beneschan [this message]
2014-09-29 16:25 ` Dmitry A. Kazakov
2014-10-01 19:48 ` vincent.diemunsch
2014-10-02 11:10 ` G.B.
2001-11-01 18:08 ` Tucker Taft
2001-11-01 18:54 ` David Starner
2001-11-01 21:44 ` Wilhelm Spickermann
2001-11-02 12:52 ` chris.danx
-- strict thread matches above, loose matches on Subject: below --
2001-10-31 22:42 Beard, Frank
replies disabled
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox