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Re: GAWK 5.1.0 doesn't work with 64bit numbers


From: Nelson H. F. Beebe
Subject: Re: GAWK 5.1.0 doesn't work with 64bit numbers
Date: Sun, 21 Mar 2021 09:11:49 -0600

The document whose link I posted 

        http://www.math.utah.edu/~beebe/arith/arith.pdf

is a supplement to a book chapter that I wrote, and was put on the Web
today for the first time.

I have just deposited a copy of that chapter here:

        http://www.math.utah.edu/~beebe/arith/fp.pdf

I have used those two documents in several two-hour student workshops
on computer arithmetic.  The two are written for an audience with
little prior experience in the details of computer arithmetic, and
address multiple programming languages.

For those wanting to delve more into this important area of computing,
the world's largest freely distributable bibliography of the field is
available here:

        http://www.math.utah.edu/pub/tex/bib/fparith.bib
        http://www.math.utah.edu/pub/tex/bib/fparith.html

The two look similar on the screen, but the first is for BibTeX input,
and the second has live hyperlinks.  The publication ordering is by
ascending year, so you can find the latest research near the end of
the main section, before the two lines that read

%%% ====================================================================
%%% The following entries must come last, ...

The fparith.bib file has frequent updates, and has almost 6850
entries, of which the oldest is for a paper published in 1726.

The precise details of how IEEE 754 arithmetic must work are spelled
out in the document with citation label IEEE-754:2019:ISF.  Alas, some
hardware implementations (notably, those on GPUs) fail to fully
conform to the IEEE 754 specifications, available in draft in the late
1970s, then made official in IEEE Standards in 1985, 2008, and 2019.

-------------------------------------------------------------------------------
- Nelson H. F. Beebe                    Tel: +1 801 581 5254                  -
- University of Utah                    FAX: +1 801 581 4148                  -
- Department of Mathematics, 110 LCB    Internet e-mail: beebe@math.utah.edu  -
- 155 S 1400 E RM 233                       beebe@acm.org  beebe@computer.org -
- Salt Lake City, UT 84112-0090, USA    URL: http://www.math.utah.edu/~beebe/ -
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