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From: Adam Beneschan <adambeneschan@gmail.com>
Subject: Re: Integers and Mathematical Correctness
Date: Fri, 26 Sep 2014 09:46:45 -0700 (PDT)
Date: 2014-09-26T09:46:45-07:00	[thread overview]
Message-ID: <7ab81f91-af1f-4fb1-8aef-c7f692e22f38@googlegroups.com> (raw)
In-Reply-To: <d54edd63-641a-4aaa-888d-4967c0b30bb1@googlegroups.com>

On Friday, September 26, 2014 2:07:32 AM UTC-7, vincent....@gmail.com wrote:

> 1. It is not consistent with modular types :
> 
>    A = (A/B)*B + (A rem B) is not true for modular types. So modular types
>    should not have a "rem" operator.

Actually, I question whether you're correct here.  Can you provide an example of a modular type, and values A and B of that type (B /= 0), such that

   (A/B)*B + (A rem B) /= A ?

(using the Ada definitions of the operators)?  I may be missing something, but I don't think it's possible.

                             -- Adam


  parent reply	other threads:[~2014-09-26 16:46 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 [this message]
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
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
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