caml-list - the Caml user's mailing list
 help / color / mirror / Atom feed
From: Robert Roessler <roessler@rftp.com>
To: caml-list@yquem.inria.fr
Subject: Re: [Caml-list] Multiplication of matrix in C and OCaml
Date: Fri, 09 Feb 2007 17:16:59 -0800	[thread overview]
Message-ID: <45CD1D0B.4050902@rftp.com> (raw)
In-Reply-To: <Pine.LNX.4.64.0702092000180.19734@localhost>

Brian Hurt wrote:
> On Fri, 9 Feb 2007, Andrej Bauer wrote:
> 
>> I hate to add to this long discussion, but since when is floating 
>> point multiplication associative?
>>
>> # 1.3 *. (0.7 *. 2.1) = (1.3 *. 0.7) *. 2.1 ;;
>> - : bool = false
> 
> Round off error.  You can't represent numbers like 7/10 or 13/10 in 
> binary precisely in a finite number of digits, any more than you can 
> represent the numbers 1/3 or 4/7 precisely in base-10 in a finite number 
> of digits. This is a fundamental problem with floating point numbers, 
> and shows up in every language that has them.  But this means reordering 
> the calculations will result in slightly different answers.

I had assumed this was the point he was making...

Robert Roessler
roessler@rftp.com
http://www.rftp.com


  reply	other threads:[~2007-02-10  1:17 UTC|newest]

Thread overview: 33+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2007-02-07 23:42 Frédéric Gava
2007-02-08  2:14 ` [Caml-list] " Jacques Garrigue
2007-02-08  9:27   ` Frédéric Gava
2007-02-08  9:38     ` Frédéric Gava
2007-02-08 12:08     ` Jacques Garrigue
2007-02-08  9:56   ` Frédéric Gava
2007-02-08 10:45     ` Xavier Leroy
2007-02-08 15:16       ` Frédéric Gava
2007-02-09  2:58         ` Jacques Garrigue
2007-02-09  9:06           ` ls-ocaml-developer-2006
2007-02-09 10:32             ` ls-ocaml-developer-2006
2007-02-09 14:22               ` skaller
2007-02-09 21:47                 ` ls-ocaml-developer-2006
2007-02-09 21:55                   ` Andrej Bauer
2007-02-09 22:36                     ` ls-ocaml-developer-2006
2007-02-09 23:53                       ` Jon Harrop
2007-02-10  1:41                         ` ls-ocaml-developer-2006
2007-02-10  2:24                           ` Jon Harrop
2007-02-10 14:41                             ` ls-ocaml-developer-2006
2007-02-10 14:52                               ` Jon Harrop
2007-02-10 15:51                                 ` ls-ocaml-developer-2006
2007-02-10 16:10                                   ` Xavier Leroy
2007-02-10 16:11                                   ` Jon Harrop
2007-02-10 14:55                               ` Mattias Engdegård
2007-02-11 13:13                             ` Christophe Raffalli
2007-02-10  1:10                     ` Brian Hurt
2007-02-10  1:16                       ` Robert Roessler [this message]
2007-02-09 23:56                 ` Jon Harrop
2007-02-09 12:05             ` Jon Harrop
2007-02-09 12:35               ` ls-ocaml-developer-2006
2007-02-09 13:50             ` Brian Hurt
2007-02-09 14:23               ` Gerd Stolpmann
2007-02-09 14:24 Frederic GAVA

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to=45CD1D0B.4050902@rftp.com \
    --to=roessler@rftp.com \
    --cc=caml-list@yquem.inria.fr \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).