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Re: Range Reduction Using Big Number Arithmetic

From Krishna Myneni <krishna.myneni@ccreweb.org>
Newsgroups comp.lang.forth
Subject Re: Range Reduction Using Big Number Arithmetic
Date 2026-09-09 15:06 -0500
Organization A noiseless patient Spider
Message-ID <117se80$1eerr$1@dont-email.me> (permalink)
References (1 earlier) <1168f21$bnk$1@dont-email.me> <116sa3b$2dpj8$4@dont-email.me> <117cuca$4f48$1@dont-email.me> <117rjv3$14ov3$1@dont-email.me> <20260909184929.0000509e@tin.it>

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On 9/9/26 11:49 AM, peter wrote:
> On Wed, 9 Sep 2026 07:37:55 -0500
...
>> I have extracted the necessary files from glibc and modified them to
>> make standalone object files for high accuracy sin(x) and cos(x)
>> computation with full-range double-precision args and tested them under
>> gcc linux x86 and Digital Mars C++ compilers.
>>
>> kForth-Win32 will soon get an upgrade for its FSIN and FCOS words.
> 
> An alternative is to use the files from the Core-Math project
> 
> https://gitlab.inria.fr/core-math/core-math
> 
> They are claimed to be correctly rounded, my tests also show this.
> They are bloated and will compile to a large object file.
> I have seen that also glibc has started to use selected files from them.
> 
Below is a link to my modified files. I've included only the bare 
minimum to make it work under gcc and sc.exe (Digital Mars C/C++). The 
src/ directory contains the subdirs gcc/ and sc/ as well as the original 
files from glibc in orig/ .

The readme.txt files in gcc/ and sc/ provide build instructions, under 
those compilers, for a test program called test_sincos .

In the base folder, there is a comparison of sin(x) and cos(x) outputs 
over a range of angles for gcc and sc.

The object files are fairly small. Under sc,

$ ls -l *.obj
... 2533 Sep  9 08:49 branred.obj
... 3728 Sep  9 08:49 sincostab.obj
... 2315 Sep  9 08:49 s_sin.obj
...  546 Sep  9 08:54 test_sincos.obj

The standalone test program is linked with the C libraries,

... 64028 Sep  9 08:54 test_sincos.exe

--
KM

https://ccreweb.org/software/glibc/sincos/

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Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-08-15 07:32 -0500
  Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-08-15 07:48 -0500
  Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-08-20 22:01 -0500
    Re: Range Reduction Using Big Number Arithmetic albert@spenarnc.xs4all.nl - 2026-08-22 19:31 +0200
      Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-08-31 08:49 -0500
    Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-08-28 10:39 -0500
      Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-08-28 10:42 -0500
      Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-03 18:03 -0500
        Re: Range Reduction Using Big Number Arithmetic marcel hendrix <mhx@iae.nl> - 2026-09-04 07:29 +0200
          Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-04 07:45 -0500
            Re: Range Reduction Using Big Number Arithmetic marcel hendrix <mhx@iae.nl> - 2026-09-04 15:29 +0200
              Re: Range Reduction Using Big Number Arithmetic albert@spenarnc.xs4all.nl - 2026-09-05 12:27 +0200
                Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-05 08:39 -0500
        Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-09 07:37 -0500
          Re: Range Reduction Using Big Number Arithmetic peter <peter.noreply@tin.it> - 2026-09-09 18:49 +0200
            Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-09 15:06 -0500
            Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-10 19:03 -0500
              Re: Range Reduction Using Big Number Arithmetic peter <peter.noreply@tin.it> - 2026-09-11 14:56 +0200
                Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-11 09:17 -0500
                Re: Range Reduction Using Big Number Arithmetic peter <peter.noreply@tin.it> - 2026-09-11 17:04 +0200
                Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-11 10:46 -0500
                Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-11 13:24 -0500
                Re: Range Reduction Using Big Number Arithmetic peter <peter.noreply@tin.it> - 2026-09-11 23:21 +0200
                Re: Range Reduction Using Big Number Arithmetic peter <peter.noreply@tin.it> - 2026-09-12 00:42 +0200
                Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-11 18:33 -0500
                Re: Range Reduction Using Big Number Arithmetic peter <peter.noreply@tin.it> - 2026-09-12 11:04 +0200
                Re: Range Reduction Using Big Number Arithmetic Krishna Myneni <krishna.myneni@ccreweb.org> - 2026-09-12 10:33 -0500

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