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Re: floating point history, word order and byte order

From Michael S <already5chosen@yahoo.com>
Newsgroups comp.arch
Subject Re: floating point history, word order and byte order
Date 2026-01-11 20:50 +0200
Organization A noiseless patient Spider
Message-ID <20260111205004.00002d9f@yahoo.com> (permalink)
References (9 earlier) <10jo6r6$1f1e9$3@dont-email.me> <1767898480-5857@newsgrouper.org> <10jp4e5$1qr00$1@dont-email.me> <20260111150116.00000f04@yahoo.com> <1768155480-5857@newsgrouper.org>

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On Sun, 11 Jan 2026 18:18:00 GMT
MitchAlsup <user5857@newsgrouper.org.invalid> wrote:

> Michael S <already5chosen@yahoo.com> posted:
> 
> > On Thu, 8 Jan 2026 21:35:16 +0100
> > Terje Mathisen <terje.mathisen@tmsw.no> wrote:
> >   
> > > MitchAlsup wrote:  
> > > > 
> > > > 
> > > > But a single incorrect rounding is 1 ULP all by itself.    
> > > 
> > > :-)
> > > 
> > > Yeah, there are strong forces who want to have, at least as a 
> > > suggested/recommended option, a set of transcendental functions
> > > which are exactly rounded.
> > >   
> > 
> > I wonder who are those forces and what is the set they push for.  
> 
> The problem, here, is that even when one gets all the rounding
> correct, one has still lost various algebraic identities.
> 
>      CRSIN(x)^2 + CRCOS(X)^2 ~= 1.0
>  
> > I would guess that they are mostly software and hardware
> > verification people rather than people that use transcendental
> > functions in engineering and physical calculations.  
> 
> Numerical people, almost never engineers, physicists, or chemists.
>  
> > The majority of the latter crowd would likely have no objections
> > against 0.75 ULP RMS as long as implementation is both fast and
> > preserving few invariant, of which I can primarily think of two:
> > 
> > 1. Evenness/odness
> > If precise function F(x) is even or odd then approximate functions
> > f(x) is also even or odd.  
> 
> Odd functions need to be monotonic around zero.
>  
> > 2. Weak preservation of sign of delta.
> > If F(x) < F(x+ULP) then f(x) <= f(x+ULP)
> > If F(x) > F(x+ULP) then f(x) >= f(x+ULP)  
> 
> Small scale Monotonicity.
>  

Yes, that's a better name.
I just wanted to express it as simple non-equality conditions and made
it too simple and stronger than necessary.
In fact I would not complain if my conditions do not hold when F(x) has
extremum in between x and x+ULP. That is, it's nice if condition holds
here as well, but it is relatively less important than holding on
monotonous intervals.

> > 
> > In practice, it's probably unlikely to have these invariant
> > preserved when RMS error is 0.75 ULP, but for RMS error = 0.60-0.65
> > ULP I don't see difficulties.
> > For many transcendental functions there will be only few problematic
> > values of x near edges of implementation-specific ranges where one
> > has to be careful.
> >   
> > > It is provably doable for float, in very close to the same cycle
> > > count as the best libraries in current use, double is "somewhat"
> > > harder to totally verify/prove.
> > > 
> > > Terje
> > >   
> >

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Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-03 08:58 +0000
  Re: Linus Torvalds on bad architectural features BGB <cr88192@gmail.com> - 2025-10-03 05:40 -0500
  Re: Linus Torvalds on bad architectural features Michael S <already5chosen@yahoo.com> - 2025-10-03 13:46 +0300
    SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) Stefan Monnier <monnier@iro.umontreal.ca> - 2025-10-03 11:26 -0400
      Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-10-03 15:42 +0000
        Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) kegs@provalid.com (Kent Dickey) - 2025-10-03 16:18 +0000
          Re: SASOS and virtually tagged caches Stefan Monnier <monnier@iro.umontreal.ca> - 2025-10-03 15:44 -0400
          Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) George Neuner <gneuner2@comcast.net> - 2025-10-06 06:54 -0400
            Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) kegs@provalid.com (Kent Dickey) - 2025-10-06 16:44 +0000
      Re: SASOS and virtually tagged caches BGB <cr88192@gmail.com> - 2025-10-03 17:42 -0500
      Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) kegs@provalid.com (Kent Dickey) - 2025-10-04 04:36 +0000
        Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) John Levine <johnl@taugh.com> - 2025-10-04 18:36 +0000
          Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) Thomas Koenig <tkoenig@netcologne.de> - 2025-10-04 19:00 +0000
          Re: SASOS and virtually tagged caches Stephen Fuld <sfuld@alumni.cmu.edu.invalid> - 2025-10-04 12:31 -0700
          Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) Michael S <already5chosen@yahoo.com> - 2025-10-05 01:05 +0300
            Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) John Levine <johnl@taugh.com> - 2025-10-04 22:44 +0000
              Re: SASOS and virtually tagged caches BGB <cr88192@gmail.com> - 2025-10-04 17:57 -0500
              Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) Michael S <already5chosen@yahoo.com> - 2025-10-05 02:18 +0300
              Re: SASOS and virtually tagged caches EricP <ThatWouldBeTelling@thevillage.com> - 2025-10-05 13:02 -0400
          Re: SASOS and virtually tagged caches Lynn Wheeler <lynn@garlic.com> - 2025-10-04 14:17 -1000
          Re: SASOS and virtually tagged caches (was: Linus Torvalds on bad architectural features) kegs@provalid.com (Kent Dickey) - 2025-10-06 15:49 +0000
  Re: Linus Torvalds on bad architectural features MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-10-03 15:41 +0000
    Re: Linus Torvalds on bad architectural features BGB <cr88192@gmail.com> - 2025-10-03 16:19 -0500
  Re: Linus Torvalds on bad architectural features John Savard <quadibloc@invalid.invalid> - 2025-10-09 13:57 +0000
  Re: Linus Torvalds on bad architectural features John Savard <quadibloc@invalid.invalid> - 2025-10-09 21:41 +0000
    Re: Linus Torvalds on bad architectural features MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-10-09 22:10 +0000
    Re: Linus Torvalds on bad architectural features scott@slp53.sl.home (Scott Lurndal) - 2025-10-09 22:21 +0000
      Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-10 08:30 +0000
        Re: Linus Torvalds on bad architectural features scott@slp53.sl.home (Scott Lurndal) - 2025-10-10 15:02 +0000
    Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-11 07:18 +0000
      Re: Linus Torvalds on bad architectural features John Levine <johnl@taugh.com> - 2025-10-12 02:37 +0000
        Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 07:13 +0000
          Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 09:51 +0000
            Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 10:14 +0000
              Re: Linus Torvalds on bad architectural features Michael S <already5chosen@yahoo.com> - 2025-10-12 13:56 +0300
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 11:38 +0000
                Re: Linus Torvalds on bad architectural features Michael S <already5chosen@yahoo.com> - 2025-10-12 15:31 +0300
                Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 13:36 +0000
                Re: Linus Torvalds on bad architectural features Michael S <already5chosen@yahoo.com> - 2025-10-12 20:13 +0300
                Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 17:47 +0000
                Re: Linus Torvalds on bad architectural features MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-10-12 19:31 +0000
              Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 13:31 +0000
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 15:10 +0000
                Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 15:48 +0000
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 16:25 +0000
                Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 17:25 +0000
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 20:03 +0000
                Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-10-12 21:07 +0000
                Re: Linus Torvalds on bad architectural features Robert Swindells <rjs@fdy2.co.uk> - 2025-10-13 17:26 +0000
                Re: Linus Torvalds on bad architectural features Michael S <already5chosen@yahoo.com> - 2025-10-12 19:56 +0300
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-10-12 17:02 +0000
          Re: Linus Torvalds on bad architectural features John Levine <johnl@taugh.com> - 2025-10-12 21:07 +0000
        Re: Linus Torvalds on bad architectural features MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-10-12 16:11 +0000
          Re: Linus Torvalds on bad architectural features BGB <cr88192@gmail.com> - 2025-10-12 13:04 -0500
          Re: Linus Torvalds on bad architectural features Lawrence D’Oliveiro <ldo@nz.invalid> - 2025-12-28 00:10 +0000
            Re: Linus Torvalds on bad architectural features MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-12-28 17:43 +0000
              Re: Linus Torvalds on bad architectural features EricP <ThatWouldBeTelling@thevillage.com> - 2025-12-28 13:34 -0500
              Re: Linus Torvalds on bad architectural features Stefan Monnier <monnier@iro.umontreal.ca> - 2025-12-28 13:55 -0500
                Re: Linus Torvalds on bad architectural features BGB <cr88192@gmail.com> - 2025-12-28 16:09 -0600
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-12-28 23:00 +0000
                Re: Linus Torvalds on bad architectural features anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-12-29 06:59 +0000
                Re: Linus Torvalds on bad architectural features Thomas Koenig <tkoenig@netcologne.de> - 2025-12-29 08:17 +0000
                word order and byte order (was: Linus Torvalds ...) anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2025-12-29 09:08 +0000
                Re: word order and byte order (was: Linus Torvalds ...) Thomas Koenig <tkoenig@netcologne.de> - 2025-12-29 13:39 +0000
                Re: word order and byte order (was: Linus Torvalds ...) John Levine <johnl@taugh.com> - 2025-12-31 02:54 +0000
                Re: word order and byte order (was: Linus Torvalds ...) Thomas Koenig <tkoenig@netcologne.de> - 2025-12-31 09:43 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) John Levine <johnl@taugh.com> - 2026-01-01 17:46 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Thomas Koenig <tkoenig@netcologne.de> - 2026-01-04 00:21 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) John Levine <johnl@taugh.com> - 2026-01-04 04:12 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-04 08:06 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Michael S <already5chosen@yahoo.com> - 2026-01-04 12:20 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-04 18:01 +0000
                Re: floating point history, word order and byte order Stephen Fuld <sfuld@alumni.cmu.edu.invalid> - 2026-01-04 15:20 -0800
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-05 09:08 +0000
                Re: floating point history, word order and byte order jgd@cix.co.uk (John Dallman) - 2026-01-06 22:06 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-07 13:34 +0200
                Re: floating point history, word order and byte order jgd@cix.co.uk (John Dallman) - 2026-01-07 13:16 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-07 17:55 +0200
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 17:39 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-07 18:58 +0100
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 20:05 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-07 23:47 +0200
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 22:10 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-11 00:59 +0000
                Re: floating point history, word order and byte order BGB <cr88192@gmail.com> - 2026-01-07 14:23 -0600
                Re: floating point history, word order and byte order Robert Finch <robfi680@gmail.com> - 2026-01-07 21:16 -0500
                Re: floating point history, word order and byte order kegs@provalid.com (Kent Dickey) - 2026-01-28 13:25 +0000
                Re: floating point history, word order and byte order BGB <cr88192@gmail.com> - 2026-01-28 15:26 -0600
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-28 23:03 +0000
                Re: floating point history, word order and byte order BGB <cr88192@gmail.com> - 2026-01-28 17:43 -0600
                Re: floating point history, word order and byte order Robert Finch <robfi680@gmail.com> - 2026-01-29 03:47 -0500
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-29 21:30 +0000
                Re: floating point history, word order and byte order BGB <cr88192@gmail.com> - 2026-01-29 17:44 -0600
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-07 18:56 +0100
                Re: floating point history, word order and byte order BGB <cr88192@gmail.com> - 2026-01-07 14:38 -0600
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 21:18 +0000
                Re: floating point history, word order and byte order BGB <cr88192@gmail.com> - 2026-01-07 16:10 -0600
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-08 00:05 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-08 02:38 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-08 10:52 +0200
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-08 18:50 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-08 13:10 +0100
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-08 18:54 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-08 21:35 +0100
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-09 01:24 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-10 18:02 +0100
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-11 15:01 +0200
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-11 18:18 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-11 20:50 +0200
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-11 22:11 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-12 12:20 +0200
                Re: floating point history, word order and byte order Stefan Monnier <monnier@iro.umontreal.ca> - 2026-01-13 14:45 -0500
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-21 01:44 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-21 11:05 +0200
                Re: floating point history, word order and byte order Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-02-14 20:49 -0800
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-21 22:33 +0100
                Re: floating point history, word order and byte order Robert Finch <robfi680@gmail.com> - 2026-01-22 14:37 -0500
                Re: floating point history, word order and byte order George Neuner <gneuner2@comcast.net> - 2026-01-22 15:12 -0500
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-22 22:57 +0200
                Re: floating point history, word order and byte order George Neuner <gneuner2@comcast.net> - 2026-01-23 13:47 -0500
                [OT] Usenet (was: floating point history ...) anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-24 15:58 +0000
                Re: [OT] Usenet (was: floating point history ...) David LaRue <huey.dll@tampabay.rr.com> - 2026-01-25 01:09 +0000
                Re: [OT] Usenet (was: floating point history ...) George Neuner <gneuner2@comcast.net> - 2026-01-25 18:12 -0500
                Re: [OT] Usenet (was: floating point history ...) scott@slp53.sl.home (Scott Lurndal) - 2026-01-26 21:38 +0000
                Re: [OT] Usenet Anssi Saari <anssi.saari@usenet.mail.kapsi.fi> - 2026-01-27 12:19 +0200
                Re: [OT] Usenet (was: floating point history ...) George Neuner <gneuner2@comcast.net> - 2026-01-27 06:33 -0500
                Re: floating point history, word order and byte order jgd@cix.co.uk (John Dallman) - 2026-01-24 09:11 +0000
                Re: floating point history, word order and byte order Brett <ggtgp@yahoo.com> - 2026-01-25 22:13 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-11 22:30 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-12 01:07 +0200
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-12 01:10 +0200
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-12 00:57 +0200
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-11 01:14 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-11 12:52 +0100
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-11 18:07 +0000
                Re: floating point history, word order and byte order "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-11 12:40 -0800
                Re: floating point history, word order and byte order "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-11 15:41 -0800
                Re: floating point history, word order and byte order "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-11 15:40 -0800
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-08 13:05 +0100
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-11 00:33 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-11 14:31 +0200
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-10 23:21 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-11 00:03 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-11 11:21 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-11 18:08 +0000
                Re: floating point history, word order and byte order Stephen Fuld <sfuld@alumni.cmu.edu.invalid> - 2026-01-11 08:38 -0800
                Re: floating point history, word order and byte order John Levine <johnl@taugh.com> - 2026-01-11 19:03 +0000
                Re: floating point history, word order and byte order Thomas Koenig <tkoenig@netcologne.de> - 2026-01-12 22:22 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-13 09:55 +0100
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-04 18:47 +0000
                Re: floating point history, word order and byte order Stefan Monnier <monnier@iro.umontreal.ca> - 2026-01-04 14:12 -0500
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-04 20:14 +0000
                Re: floating point history, word order and byte order Stephen Fuld <sfuld@alumni.cmu.edu.invalid> - 2026-01-04 13:05 -0800
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-05 08:51 +0000
                Re: floating point history, word order and byte order Stefan Monnier <monnier@iro.umontreal.ca> - 2026-01-05 11:55 -0500
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-05 19:26 +0200
                Re: floating point history, word order and byte order Stefan Monnier <monnier@iro.umontreal.ca> - 2026-01-05 14:33 -0500
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-06 17:26 +0000
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-05 17:40 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-07 17:57 +0000
                Re: floating point history, word order and byte order Thomas Koenig <tkoenig@netcologne.de> - 2026-01-09 16:32 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-11 11:49 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-11 18:11 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-12 00:37 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-12 02:05 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-12 16:28 +0100
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-05 08:16 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-05 10:21 +0000
                Re: floating point history, word order and byte order EricP <ThatWouldBeTelling@thevillage.com> - 2026-01-05 11:05 -0500
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-05 18:03 +0000
                Re: floating point history, word order and byte order EricP <ThatWouldBeTelling@thevillage.com> - 2026-01-05 13:51 -0500
                Re: floating point history, word order and byte order EricP <ThatWouldBeTelling@thevillage.com> - 2026-01-05 14:21 -0500
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-06 17:50 +0000
                Re: floating point history, word order and byte order EricP <ThatWouldBeTelling@thevillage.com> - 2026-01-05 10:31 -0500
                Re: floating point history, word order and byte order EricP <ThatWouldBeTelling@thevillage.com> - 2026-01-05 11:02 -0500
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-06 18:14 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) scott@slp53.sl.home (Scott Lurndal) - 2026-01-05 15:40 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-04 13:22 +0100
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Michael S <already5chosen@yahoo.com> - 2026-01-04 12:36 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Thomas Koenig <tkoenig@netcologne.de> - 2026-01-04 16:45 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Michael S <already5chosen@yahoo.com> - 2026-01-04 19:35 +0200
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-06 12:35 +0100
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-06 15:26 +0200
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-06 17:06 +0100
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-06 17:59 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-06 20:15 +0200
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-06 19:35 +0000
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-06 23:09 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-06 17:56 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Michael S <already5chosen@yahoo.com> - 2026-01-06 20:12 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-06 19:29 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Michael S <already5chosen@yahoo.com> - 2026-01-07 15:06 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) scott@slp53.sl.home (Scott Lurndal) - 2026-01-07 15:24 +0000
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) Michael S <already5chosen@yahoo.com> - 2026-01-07 18:06 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) scott@slp53.sl.home (Scott Lurndal) - 2026-01-07 16:41 +0000
                Re: floating point history, word order and byte order antispam@fricas.org (Waldek Hebisch) - 2026-01-07 17:32 +0000
                Re: floating point history, word order and byte order scott@slp53.sl.home (Scott Lurndal) - 2026-01-07 19:14 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-08 12:50 +0100
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-08 15:41 +0200
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-08 21:25 +0100
                Re: floating point history, word order and byte order Michael S <already5chosen@yahoo.com> - 2026-01-08 22:50 +0200
                Re: floating point history, word order and byte order (was: Linus Torvalds ...) MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 17:44 +0000
                Re: floating point history, word order and byte order Stephen Fuld <sfuld@alumni.cmu.edu.invalid> - 2026-01-07 10:22 -0800
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-07 18:47 +0100
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-07 18:38 +0100
                Re: floating point history, word order and byte order anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2026-01-07 18:38 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 20:11 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-08 13:01 +0100
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-08 18:52 +0000
                Re: floating point history, word order and byte order scott@slp53.sl.home (Scott Lurndal) - 2026-01-07 19:19 +0000
                Re: floating point history, word order and byte order MitchAlsup <user5857@newsgrouper.org.invalid> - 2026-01-07 19:56 +0000
                Re: floating point history, word order and byte order Terje Mathisen <terje.mathisen@tmsw.no> - 2026-01-04 13:17 +0100
                Re: Linus Torvalds on bad architectural features Stefan Monnier <monnier@iro.umontreal.ca> - 2025-12-29 13:48 -0500
            Re: Linus Torvalds on bad architectural features Bill Findlay <findlaybill@blueyonder.co.uk> - 2025-12-28 19:21 +0000
              Re: Linus Torvalds on bad architectural features MitchAlsup <user5857@newsgrouper.org.invalid> - 2025-12-28 21:34 +0000

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