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Groups > comp.lang.c > #382940

Re: Radians Or Degrees?

From Michael S <already5chosen@yahoo.com>
Newsgroups comp.lang.c, comp.arch
Subject Re: Radians Or Degrees?
Date 2024-02-23 14:32 +0200
Organization A noiseless patient Spider
Message-ID <20240223143250.000012a8@yahoo.com> (permalink)
References (6 earlier) <ur8a2p$2446$1@dont-email.me> <ur8ctk$2vbd$2@dont-email.me> <20240222233838.0000572f@yahoo.com> <3b2e86cdb0ee8785b4405ab10871c5ca@www.novabbs.org> <ur8nud$4n1r$1@dont-email.me>

Cross-posted to 2 groups.

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On Fri, 23 Feb 2024 00:13:02 -0000 (UTC)
"Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> wrote:

> On Thu, 22 Feb 2024 22:57:20 +0000, MitchAlsup1 wrote:
> 
> > 
> > I have a patent on doing argument reduction for sin(x) in 4
> > cycles...that is as good as Payne-Haneok argument reduction over
> > -infinity..+infinity  
> 
> By a strange coincidence, I have the Payn-Hanek paper on the
> top of stack of papers on my desk.  Still need to internalize
> the details. 
> 

Payne-Hanek is a right answer to a wrong question.
In science/engineering floating-point number x represents a range
[x-ULP:x+ULP] with hopefully much higher probability of being in range
[x-ULP/2:x+ULP/2]. However in this reduced range probability is flat,
an "exact" x is no worse and no better than any other point within this
range.
Which means that when we look for y=sin(x) then  for
scientific/engineering purposes any answer in range*
[sin(x-ULP/2):sin(x+ULP/2)] is as "right" as any other answer. The
right answer to the question "What is a sin() of IEEE-754 binary64
number 1e17?" is "Anything in range [-1:1]". The wise and useful answer
to the same question is "You're holding it wrong".

* in paragraph Sin(x) designates result calculated with infinite
  precision.

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Thread

Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-21 22:35 +0000
  Re: Radians Or Degrees? James Kuyper <jameskuyper@alumni.caltech.edu> - 2024-02-21 17:55 -0500
    Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-02-22 01:59 +0200
      Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 01:55 +0000
        Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-22 19:14 +0000
          Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 19:48 +0000
            Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-22 20:16 +0000
              Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 21:04 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-02-22 23:39 +0200
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 21:47 +0000
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-02-22 22:57 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-23 00:13 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:49 -0800
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:59 -0800
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-02-23 02:42 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-23 12:28 -0800
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-23 22:42 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-24 12:40 -0800
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 22:52 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-24 19:26 -0800
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-25 06:30 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-22 21:58 -0700
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-02-23 02:28 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-02-23 11:10 +0100
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-14 11:26 +0200
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-14 17:34 +0000
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-14 19:48 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-03-15 12:16 +0100
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-03-14 20:30 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-14 15:12 -0700
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-14 22:19 +0000
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-14 15:21 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-14 15:22 -0700
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-15 13:49 +0200
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-03-15 11:23 +0100
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-15 14:15 +0200
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-16 01:23 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-03-16 16:59 +0100
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-15 13:59 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-15 14:13 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-16 13:23 -0700
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-03-15 14:16 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-15 14:26 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-15 14:30 -0700
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-03-15 15:48 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-17 13:41 -0700
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-17 21:49 -0700
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-16 01:16 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-16 19:08 +0200
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-16 17:22 +0000
                Re: Radians Or Degrees? scott@slp53.sl.home (Scott Lurndal) - 2024-03-16 18:32 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-16 20:49 +0200
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-03-16 16:19 -0700
                Re: Radians Or Degrees? bart <bc@freeuk.com> - 2024-03-17 00:00 +0000
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-03-16 18:38 -0700
                Re: Radians Or Degrees? bart <bc@freeuk.com> - 2024-03-17 01:57 +0000
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-03-16 19:57 -0700
                Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-03-17 13:10 +0100
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-17 11:06 +0200
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-17 11:34 +0200
                Re: Radians Or Degrees? bart <bc@freeuk.com> - 2024-03-17 10:59 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-17 14:15 +0200
                Re: Radians Or Degrees? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-15 15:13 -0700
                Re: Radians Or Degrees? Stefan Monnier <monnier@iro.umontreal.ca> - 2024-03-18 15:18 -0400
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-18 22:19 +0000
                Re: Radians Or Degrees? Stefan Monnier <monnier@iro.umontreal.ca> - 2024-03-20 09:54 -0400
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-20 18:21 +0200
                Re: Radians Or Degrees? Stefan Monnier <monnier@iro.umontreal.ca> - 2024-03-20 12:59 -0400
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-20 20:40 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-03-21 08:52 +0100
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-21 14:51 +0200
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-21 16:37 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-03-23 09:11 +0100
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-03-20 17:02 +0000
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-20 20:47 +0000
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-20 20:33 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-03-21 00:03 +0200
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-20 20:26 +0000
                Re: Radians Or Degrees? Stefan Monnier <monnier@iro.umontreal.ca> - 2024-03-20 16:34 -0400
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-03-21 08:38 +0100
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-02-23 14:32 +0200
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-02-23 20:02 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-23 20:38 +0000
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-02-23 22:29 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-23 22:39 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-24 04:03 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 04:47 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-24 05:27 +0000
                Re: Radians Or Degrees? Kaz Kylheku <433-929-6894@kylheku.com> - 2024-02-24 05:48 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 05:38 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-24 06:13 +0000
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-03-14 17:15 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-23 23:20 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-23 22:39 +0000
                Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-23 23:16 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-23 23:44 +0000
                Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-24 01:15 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 01:19 +0000
                Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-24 01:27 +0000
                Re: Radians Or Degrees? Kaz Kylheku <433-929-6894@kylheku.com> - 2024-02-24 01:42 +0000
                Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-25 00:18 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-02-25 12:57 +0200
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 02:21 +0000
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-24 02:49 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 03:07 +0000
                Re: Radians Or Degrees? Kaz Kylheku <433-929-6894@kylheku.com> - 2024-02-24 03:12 +0000
                Re: Radians Or Degrees? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-02-23 18:49 -0800
                Re: Radians Or Degrees? Kaz Kylheku <433-929-6894@kylheku.com> - 2024-02-23 23:30 +0000
                Re: Radians Or Degrees? James Kuyper <jameskuyper@alumni.caltech.edu> - 2024-02-24 02:25 -0500
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 21:21 +0000
                Re: Radians Or Degrees? James Kuyper <jameskuyper@alumni.caltech.edu> - 2024-02-24 17:32 -0500
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-24 22:50 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-02-25 16:19 +0100
                Re: Radians Or Degrees? mitchalsup@aol.com (MitchAlsup1) - 2024-02-25 18:11 +0000
                Re: Radians Or Degrees? Terje Mathisen <terje.mathisen@tmsw.no> - 2024-02-23 11:01 +0100
                Re: Radians Or Degrees? "Steven G. Kargl" <sgk@REMOVEtroutmask.apl.washington.edu> - 2024-02-22 22:09 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 22:30 +0000
                Re: Radians Or Degrees? Michael S <already5chosen@yahoo.com> - 2024-02-23 00:56 +0200
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 23:03 +0000
  Re: Radians Or Degrees? fir <fir@grunge.pl> - 2024-02-22 00:15 +0100
    Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 01:55 +0000
      Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-22 09:32 +0100
        Re: Radians Or Degrees? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2024-02-22 09:38 +0000
          Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-22 11:04 +0100
      Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-22 14:28 +0000
        Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-22 16:26 +0100
          Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 19:45 +0000
          Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-22 21:30 +0000
            Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-23 09:11 +0100
        GGs [was Radians Or Degrees?] Richard Harnden <richard.nospam@gmail.invalid> - 2024-02-23 13:57 +0000
          Re: GGs [was Radians Or Degrees?] "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-23 11:15 -0800
            Re: GGs [was Radians Or Degrees?] Richard Harnden <richard.nospam@gmail.invalid> - 2024-02-23 19:26 +0000
  Re: Radians Or Degrees? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2024-02-22 07:17 +0000
    Re: Radians Or Degrees? Kaz Kylheku <433-929-6894@kylheku.com> - 2024-02-22 16:49 +0000
  Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-22 09:06 +0100
  Re: Radians Or Degrees? Blue-Maned_Hawk <bluemanedhawk@invalid.invalid> - 2024-02-22 08:27 +0000
    Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-22 11:09 +0100
      Re: Radians Or Degrees? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2024-02-22 13:48 +0000
      Re: Radians Or Degrees? Blue-Maned_Hawk <bluemanedhawk@invalid.invalid> - 2024-02-22 15:29 +0000
        Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-22 20:02 +0100
          Re: Radians Or Degrees? Blue-Maned_Hawk <bluemanedhawk@invalid.invalid> - 2024-02-23 02:15 +0000
          Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-23 02:24 +0000
            Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-23 09:16 +0100
      Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 19:39 +0000
        Re: Radians Or Degrees? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2024-02-22 21:25 +0100
          Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 20:58 +0000
            Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-23 09:33 +0100
              Re: Radians Or Degrees? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2024-02-23 12:53 +0100
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-23 20:23 +0000
        Re: Radians Or Degrees? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2024-02-25 11:19 +0000
          Re: Radians Or Degrees? Richard Harnden <richard.nospam@gmail.invalid> - 2024-02-25 13:08 +0000
            Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-25 22:21 +0000
              Re: Radians Or Degrees? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-25 22:29 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-26 21:29 +0000
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-02-26 13:44 -0800
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-26 23:15 +0000
                Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-02-26 16:02 -0800
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-27 00:55 +0000
                Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-27 09:53 +0100
              Re: Radians Or Degrees? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-02-25 14:43 -0800
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-26 21:32 +0000
              Re: Radians Or Degrees? bart <bc@freeuk.com> - 2024-02-25 23:09 +0000
                Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-26 21:32 +0000
                Re: Radians Or Degrees? bart <bc@freeuk.com> - 2024-02-26 23:01 +0000
                Re: Radians Or Degrees? David Brown <david.brown@hesbynett.no> - 2024-02-27 09:59 +0100
      Re: Radians Or Degrees? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-02-22 19:44 +0000

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