<>= - [Numerical Computing with IEEE Floating Point Arithmetic](https://www.amazon.com/Numerical-Computing-Floating-Point-Arithmetic/dp/0898714826) - https://en.wikipedia.org/wiki/Machine_epsilon @ <>= **************** Table Of Contents - [Basics](#basics) - [Output](#basics_output) <
>= **************** Basics `basics` function from [basics.nw](basics.nw): <> `basics` [output](basics_out.nw): <> <>= - [Bit Patterns](#bits) - [Output](#bits_output) <
>= **************** Bit Patterns `bits` function from [bits.nw](bits.nw): <> `bits` [output](bits_out.nw): <> <>= - [Other sources](#other) <
>= **************** Other sources - [config.nw](config.nw) - [plumbing.nw](plumbing.nw) - [common.nw](common.nw) - [basics.sh](basics.sh) - [bits.sh](bits.sh) <>= - [Notes](#notes) <
>= **************** Notes - The `double` type of the C language is known as `binary64` in the IEEE 754 Standard. - The same principles shown for `binary64` also applies to `binary32` (c's `float` type). <>= - [References](#references) <>=

<></h1> <<TOC>> <<Section Basics>> <<Section Bit Patterns>> <<Section Other Sources>> <<Section Notes>> <h2 id="references">References</h2> <<references>> More details in the link below. @ <<PRIMARY SOURCES>>= <<TOP>>/assets.nw README.txt config.nw plumbing.nw common.nw basics.nw basics_out.nw bits.nw bits_out.nw @ <<YEAR>>= 2024 @ <<STAMP>>= 2024-02-15_15h49m59 @ <<ITEM_ID>>= ieee754·aka_floats_and_doubles @ <<PAGE DIR>>= pages/<<YEAR>>/<<STAMP>>_<<ITEM_ID>> @ <<URL PREFIX>>= <<assets - base url>><<PAGE DIR>> @ <<CANONICAL URL>>= <<URL PREFIX>>/index.html @ <<*>>= <<sh preamble>> if git-file-is-pristine.sh <<PRIMARY SOURCES>>; then rm -f .draft else date '+%Y-%m-%d_%Hh%Mm%S' > .draft git reset --quiet -- index.html fi nofake --error -Rrender <<PRIMARY SOURCES>> | sh @ <<TOP>>= ../../.. @ <<PAGES>>= ../.. @ <<TITLE>>= ctarbi.de - ieee754 · aka floats and doubles · qnans and snans @ <<sh preamble>>= #!/bin/sh set -eu @ <<print LAST MODIFIED>>= if [ -f .draft ]; then last-modified.sh <<PRIMARY SOURCES>> | perl -MPOSIX=strftime \ -lne'print(strftime(qq{@<<LAST MODIFIED@>>=\n%B %e, %Y (DRAFT)\n@\n}, gmtime($_)))' else FORMAT='format:%s %B %e, %Y at %T UTC' git-last-modified.sh <<PRIMARY SOURCES>> | LC_ALL=C sort -nr | head -n1 | perl \ -lne's,^\d+ ,,; print(qq{@<<LAST MODIFIED@>>=\n${_}\n@\n})' fi @ <<set $t0>>= t0=`perl -MTime::HiRes=time -le'print(time)'` @ <<generated: $t1 - $t0>>= perl -MTime::HiRes=time -MPOSIX=strftime -le' $t1 = time; $t0 = $ARGV[0]; printf(qq{\n<!-- Generated in %.3f seconds on %s. -->\n}, $t1 - $t0, strftime(q{%B %e, %Y at %T UTC}, gmtime)) ' -- "${t0}" @ <<create index.html from .index.html>>= cat .index.html > index.html <<generated: $t1 - $t0>> @>> index.html chmod 0444 index.html @ <<update (or not) index.html from .index.html>>= if [ -f index.html ]; then if [ .index.html -nt index.html ]; then rm -f index.html <<create index.html from .index.html>> else echo "index.html is up to date." fi else <<create index.html from .index.html>> fi @ <<gen: base url>>= printf '@<<base url>>=\n' <<TOP>>/bin/show-config.sh website.base-url printf '@\n' @ <<generate>>= <<sh preamble>> <<print LAST MODIFIED>> cat <<PRIMARY SOURCES>> <<gen: base url>> @ <<update (or not) .index.html from primary sources>>= nofake --error -Rgenerate <<PRIMARY SOURCES>> | sh | gzip > .cache ( gzip -dc .cache printf '@<<body>>=\n' gzip -dc .cache | nofake --error -R'body in markdown' | "<<TOP>>/bin/md-autoheader-autolink.pl" | <<assets - md.pl for pages>> printf '@\n' ) | CHMOD='chmod 0444' nofake.sh --error -Rindex.html -o.index.html @ <<render>>= <<sh preamble>> <<set $t0>> <<update (or not) .index.html from primary sources>> <<update (or not) index.html from .index.html>> @ <<index.html>>= <!DOCTYPE html> <html lang="en"> <title><<TITLE>> <> <