<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%%
%%
%% This is file is `numname.sty'.
%%
%% This is file is the number formatting portion of `memoir.cls'. And provides
%% some simple commands to write out the english name of a number. Refer to the
%% memoir packages documentation for usage.
%%
%%   Author: S Joshua Swamidass
%%
%% The header of the original source file this was generated from:
%%
%% memoir.dtx  (with options: `class')
%% 
%%   Author: Peter Wilson  (herries dot press at earthlink dot net)
%%           Herries Press
%%   Copyright 2001--2005 Peter R. Wilson
%% 
%%   This work may be distributed and/or modified under the
%%   conditions of the LaTeX Project Public License, either
%%   version 1.3 of this license or (at your option) any
%%   later version.
%%   The latest version of the license is in
%%      http://www.latex-project.org/lppl.txt
%%   and version 1.3 or later is part of all distributions of
%%   LaTeX version 2003/06/01 or later.
%% 
%%   This work has the LPPL maintenance status "author-maintained".
%% 
%%   This work consists of the files listed in the README file.
%% 
%%
%%

%%%%%%%%%%%%%%%%%%%% number formatting

\newif\iflowernumtoname
  \lowernumtonamefalse
\newif\ifpriornum
\newif\ifminusnumber
\newif\ifnotnumtonameallcaps
\newif\ifmakeordinal

\newcommand*{\namenumberand}{ and }
\newcommand*{\namenumbercomma}{, }
\newcommand*{\lcminusname}{minus }
\newcommand*{\ucminusname}{Minus }
\let\minusname\lcminusname
\newcommand*{\fnumbersep}{,}
\newcommand*\tensunitsep{-}
\newcommand*{\nthstring}{th}      % nth
\newcommand*{\iststring}{st}      % 1st
\newcommand*{\iindstring}{nd}     % 2nd
\newcommand*{\iiirdstring}{rd}    % 3rd
\newcommand*{\tiethstring}{tieth} % tieth
\newcommand*{\teenstring}{teen}   % teen
\newcommand{\ordscript}[1]{#1}

\chardef\m@mten=10 % shorthand for 10

\newcounter{ism@mctr}  % units
\newcounter{xsm@mctr}  % tens
\newcounter{csm@mctr}  % hundreds
\newcounter{ksm@mctr}  % thousands
\newcounter{xksm@mctr} % ten thousands
\newcounter{cksm@mctr} % hundred thousands
\newcounter{msm@mctr}  % millions
\newcounter{xmsm@mctr} % ten millions
\newcounter{cmsm@mctr} % hundred millions
\newcounter{bsm@mctr}  % billions
\newcounter{workm@mctr}

\newcommand*{\numdigits}[1]{%
  \setcounter{ism@mctr}{0}%
  \setcounter{xsm@mctr}{0}%
  \setcounter{csm@mctr}{0}%
  \setcounter{ksm@mctr}{0}%
  \setcounter{xksm@mctr}{0}%
  \setcounter{cksm@mctr}{0}%
  \setcounter{msm@mctr}{0}%
  \setcounter{xmsm@mctr}{0}%
  \setcounter{cmsm@mctr}{0}%
  \setcounter{bsm@mctr}{0}%
  \setcounter{workm@mctr}{#1}%
  \minusnumberfalse
  \ifnum \c@workm@mctr &lt; \z@  % negative
    \minusnumbertrue
    \c@workm@mctr = -\c@workm@mctr
  \fi
  \ifnum \c@workm@mctr &gt; \m@ne     % units
    \c@ism@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@ism@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@    % tens
    \c@xsm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@xsm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@   % hundreds
    \c@csm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@csm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@   % thousands
    \c@ksm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@ksm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@   % ten thousands
    \c@xksm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@xksm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@   % hundred thousands
    \c@cksm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@cksm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@   % millions
    \c@msm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@msm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@  % ten millions
    \c@xmsm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@xmsm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@  % hundred millions
    \c@cmsm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@cmsm@mctr by -\c@workm@mctr
    \divide \c@workm@mctr by \m@mten
  \fi
  \ifnum \c@workm@mctr &gt; \z@% billions
    \c@bsm@mctr = \c@workm@mctr
    \divide \c@workm@mctr by \m@mten
    \multiply \c@workm@mctr by \m@mten
    \advance \c@bsm@mctr by -\c@workm@mctr
  \fi
}

\newcommand*{\form@tnumber}[1]{%
  \numdigits{#1}%
  \ifminusnumber-\fi
  \priornumfalse
  \ifnum \c@bsm@mctr &gt; \z@ % billions
    \priornumtrue
    \thebsm@mctr\fnumbersep
  \fi
  \ifpriornum                 % hundred millions
    \thecmsm@mctr
  \else
    \ifnum \c@cmsm@mctr &gt; \z@
      \priornumtrue
      \thecmsm@mctr
    \fi
  \fi
  \ifpriornum                 % ten millions
    \thexmsm@mctr
  \else
    \ifnum \c@xmsm@mctr &gt; \z@
      \priornumtrue
      \thexmsm@mctr
    \fi
  \fi
  \ifpriornum                 % millions
    \themsm@mctr\fnumbersep
  \else
    \ifnum \c@msm@mctr &gt; \z@
      \priornumtrue
      \themsm@mctr\fnumbersep
    \fi
  \fi
  \ifpriornum                % hundred thousands
    \thecksm@mctr
  \else
    \ifnum \c@cksm@mctr &gt; \z@
      \priornumtrue
      \thecksm@mctr
    \fi
  \fi
  \ifpriornum                % ten thousands
    \thexksm@mctr
  \else
    \ifnum \c@xksm@mctr &gt; \z@
      \priornumtrue
      \thexksm@mctr
    \fi
  \fi
  \ifpriornum                % thousands
    \theksm@mctr\fnumbersep
  \else
    \ifnum \c@ksm@mctr &gt; \z@
      \priornumtrue
      \theksm@mctr\fnumbersep
    \fi
  \fi
  \ifpriornum                % hundreds
    \thecsm@mctr
  \else
    \ifnum \c@csm@mctr &gt; \z@
      \priornumtrue
      \thecsm@mctr
    \fi
  \fi
  \ifpriornum                % tens
    \thexsm@mctr
  \else
    \ifnum \c@xsm@mctr &gt; \z@
      \priornumtrue
      \thexsm@mctr
    \fi
  \fi
  \theism@mctr              % units
}

\newcommand*{\cardinal}[1]{%
  \begingroup
  \let\fnumbersep\relax
  \form@tnumber{#1}%
  \endgroup}
\newcommand*{\fcardinal}[1]{%
  \begingroup
  \form@tnumber{#1}%
  \endgroup}

\newcommand*{\ordinal}[1]{%
  \begingroup
  \let\fnumbersep\relax
  \form@tnumber{#1}%
  \let\ordstring\nthstring
  \ifnum \c@xsm@mctr=\@ne\else
    \ifcase \c@ism@mctr
      \or \let\ordstring\iststring%    1st
      \or \let\ordstring\iindstring%   2nd
      \or \let\ordstring\iiirdstring%  3rd
    \fi
  \fi
  \ordscript{\ordstring}%
  \endgroup
}
\newcommand*{\fordinal}[1]{%
  \begingroup
  \form@tnumber{#1}%
  \let\ordstring\nthstring
  \ifnum \c@xsm@mctr=\@ne\else
    \ifcase \c@ism@mctr
      \or \let\ordstring\iststring%    1st
      \or \let\ordstring\iindstring%   2nd
      \or \let\ordstring\iiirdstring%  3rd
    \fi
  \fi
  \ordscript{\ordstring}%
  \endgroup
}

\newcommand*\nNameo{\iflowernumtoname z\else Z\fi ero}
\newcommand*\nNamec{\iflowernumtoname h\else H\fi undred}
\newcommand*\nNamem{\iflowernumtoname t\else T\fi housand}
\newcommand*\nNamemm{\iflowernumtoname m\else M\fi illion}
\newcommand*\nNamemmm{\iflowernumtoname b\else B\fi illion}

\newcommand*\nNamei{\iflowernumtoname o\else O\fi ne}
\newcommand*\nNameii{\iflowernumtoname t\else T\fi wo}
\newcommand*\nNameiii{\iflowernumtoname t\else T\fi hree}
\newcommand*\nNameiv{\iflowernumtoname f\else F\fi our}
\newcommand*\nNamev{\iflowernumtoname f\else F\fi ive}
\newcommand*\nNamevi{\iflowernumtoname s\else S\fi ix}
\newcommand*\nNamevii{\iflowernumtoname s\else S\fi even}
\newcommand*\nNameviii{\iflowernumtoname e\else E\fi ight}
\newcommand*\nNameix{\iflowernumtoname n\else N\fi ine}
\newcommand*\nNamex{\iflowernumtoname t\else T\fi en}
\newcommand*\nNamexi{\iflowernumtoname e\else E\fi leven}
\newcommand*\nNamexii{\iflowernumtoname t\else T\fi welve}
\newcommand*\nNamexiii{\iflowernumtoname t\else T\fi hir\teenstring}
\newcommand*\nNamexiv{\iflowernumtoname f\else F\fi our\teenstring}
\newcommand*\nNamexv{\iflowernumtoname f\else F\fi if\teenstring}
\newcommand*\nNamexvi{\iflowernumtoname s\else S\fi ix\teenstring}
\newcommand*\nNamexvii{\iflowernumtoname s\else S\fi even\teenstring}
\newcommand*\nNamexviii{\iflowernumtoname e\else E\fi igh\teenstring}
\newcommand*\nNamexix{\iflowernumtoname n\else N\fi ine\teenstring}
\newcommand*\nNamexx{\iflowernumtoname t\else T\fi wenty}
\newcommand*\nNamexxx{\iflowernumtoname t\else T\fi hirty}
\newcommand*\nNamexl{\iflowernumtoname f\else F\fi orty}
\newcommand*\nNamel{\iflowernumtoname f\else F\fi ifty}
\newcommand*\nNamelx{\iflowernumtoname s\else S\fi ixty}
\newcommand*\nNamelxx{\iflowernumtoname s\else S\fi eventy}
\newcommand*\nNamelxxx{\iflowernumtoname e\else E\fi ighty}
\newcommand*\nNamexc{\iflowernumtoname n\else N\fi inety}

\newcommand*{\unitnumbername}[1]{%
  \ifcase #1 \nNameo\or
   \nNamei\or
   \nNameii\or
   \nNameiii\or
   \nNameiv\or
   \nNamev\or
   \nNamevi\or
   \nNamevii\or
   \nNameviii\or
   \nNameix\fi}

\newcommand*{\teennumbername}[1]{%
  \ifcase #1 \nNamex\or
   \nNamexi\or
   \nNamexii\or
   \nNamexiii\or
   \nNamexiv\or
   \nNamexv\or
   \nNamexvi\or
   \nNamexvii\or
   \nNamexviii\or
   \nNamexix\fi}

\newcommand*{\tensnumbername}[2]{%
  \ifnum #1=\@ne
    \teennumbername{#2}\ifnotnumtonameallcaps\lowernumtonametrue\fi
  \else
    \ifcase #1
    \or
    \or \nNamexx
    \or \nNamexxx
    \or \nNamexl
    \or \nNamel
    \or \nNamelx
    \or \nNamelxx
    \or \nNamelxxx
    \or \nNamexc
    \fi
    \ifnotnumtonameallcaps\lowernumtonametrue\fi
    \ifnum #2 &gt; \z@ \tensunitsep\unitnumbername{#2}\fi
  \fi}

\newcommand*\nthNameo{\nNameo\nthstring}
\newcommand*\nthNamei{\iflowernumtoname f\else F\fi irst}
\newcommand*\nthNameii{\iflowernumtoname s\else S\fi econd}
\newcommand*\nthNameiii{\iflowernumtoname t\else T\fi hird}
\newcommand*\nthNameiv{\nNameiv\nthstring}
\newcommand*\nthNamev{\iflowernumtoname f\else F\fi if\nthstring}
\newcommand*\nthNamevi{\nNamevi\nthstring}
\newcommand*\nthNamevii{\nNamevii\nthstring}
\newcommand*\nthNameviii{\iflowernumtoname e\else E\fi igh\nthstring}
\newcommand*\nthNameix{\iflowernumtoname n\else N\fi in\nthstring}
\newcommand*\nthNamexii{\iflowernumtoname t\else T\fi welf\nthstring}

\newcommand*{\unitordinalname}[1]{%
  \ifcase #1 \nthNameo\or
  \nthNamei\or
  \nthNameii\or
  \nthNameiii\or
  \nthNameiv\or
  \nthNamev\or
  \nthNamevi\or
  \nthNamevii\or
  \nthNameviii\or
  \nthNameix\fi}

\newcommand*{\teenordinalname}[1]{%
  \ifcase #1 \nNamex\nthstring\or
  \nNamexi\nthstring\or
  \nthNamexii\or
  \nNamexiii\nthstring\or
  \nNamexiv\nthstring\or
  \nNamexv\nthstring\or
  \nNamexvi\nthstring\or
  \nNamexvii\nthstring\or
  \nNamexviii\nthstring\or
  \nNamexix\nthstring\fi}

\newcommand*{\tensordinalname}[2]{%
  \ifnum #1=\@ne
    \teenordinalname{#2}\ifnotnumtonameallcaps\lowernumtonametrue\fi
  \else
    \ifnum #2&gt; \z@
      \ifcase #1
      \or
      \or \nNamexx
      \or \nNamexxx
      \or \nNamexl
      \or \nNamel
      \or \nNamelx
      \or \nNamelxx
      \or \nNamelxxx
      \or \nNamexc
      \fi
      \ifnotnumtonameallcaps\lowernumtonametrue\fi
      \tensunitsep\unitordinalname{#2}
    \else
      \ifcase #1
      \or
      \or \nthNamexx
      \or \nthNamexxx
      \or \nthNamexl
      \or \nthNamel
      \or \nthNamelx
      \or \nthNamelxx
      \or \nthNamelxxx
      \or \nthNamexc
      \fi
      \ifnotnumtonameallcaps\lowernumtonametrue\fi
    \fi
  \fi}

\newcommand*\nthNamexx{\iflowernumtoname t\else T\fi wen\tiethstring}
\newcommand*\nthNamexxx{\iflowernumtoname t\else T\fi hir\tiethstring}
\newcommand*\nthNamexl{\iflowernumtoname f\else F\fi or\tiethstring}
\newcommand*\nthNamel{\iflowernumtoname f\else F\fi if\tiethstring}
\newcommand*\nthNamelx{\iflowernumtoname s\else S\fi ix\tiethstring}
\newcommand*\nthNamelxx{\iflowernumtoname s\else S\fi even\tiethstring}
\newcommand*\nthNamelxxx{\iflowernumtoname e\else E\fi igh\tiethstring}
\newcommand*\nthNamexc{\iflowernumtoname n\else N\fi ine\tiethstring}

\newcommand*{\n@me@number}[1]{%
\begingroup
    \numdigits{#1}%
    \ifminusnumber\minusname\fi
    \priornumfalse
%% billions
    \ifnum \c@bsm@mctr &gt; \z@
      \unitnumbername{\thebsm@mctr}\space
      \ifnotnumtonameallcaps\lowernumtonametrue\fi\nNamemmm
      \priornumtrue
    \fi
%% hundred millions
    \ifnum \c@cmsm@mctr &gt; \z@
      \ifpriornum\namenumbercomma\fi
      \unitnumbername{\thecmsm@mctr}\space
      \ifnotnumtonameallcaps\lowernumtonametrue\fi\nNamec
      \priornumtrue
    \fi
%% tens/units millions
    \ifnum \c@xmsm@mctr &gt; \z@
      \ifpriornum
        \ifnum\c@cmsm@mctr&gt;\z@\namenumberand\else\namenumbercomma\fi
      \fi
      \tensnumbername{\thexmsm@mctr}{\themsm@mctr}%
      \priornumtrue
    \else
      \ifnum \c@msm@mctr &gt; \z@
        \ifpriornum
          \ifnum\c@cmsm@mctr&gt;\z@\namenumberand\else\namenumbercomma\fi
        \fi
        \unitnumbername{\themsm@mctr}%
        \ifnotnumtonameallcaps\lowernumtonametrue\fi
        \priornumtrue
      \fi
    \fi
    \ifnum \c@cmsm@mctr &gt; \z@
      \ifpriornum\space\fi
      \nNamemm
    \else
      \ifnum \c@xmsm@mctr &gt; \z@
        \ifpriornum\space\fi
        \nNamemm
      \else
        \ifnum \c@msm@mctr &gt; \z@
          \ifpriornum\space\fi
          \nNamemm
        \fi
      \fi
    \fi
%% hundred thousands
    \ifnum \c@cksm@mctr &gt; \z@
      \ifpriornum\namenumbercomma\fi
      \unitnumbername{\thecksm@mctr}\space
        \ifnotnumtonameallcaps\lowernumtonametrue\fi\nNamec
      \priornumtrue
    \fi
%% tens/units thousands
    \ifnum \c@xksm@mctr &gt; \z@
      \ifpriornum
        \ifnum\c@cksm@mctr&gt;\z@\namenumberand\else\namenumbercomma\fi
      \fi
      \tensnumbername{\thexksm@mctr}{\theksm@mctr}%
      \priornumtrue
    \else
      \ifnum \c@ksm@mctr &gt; \z@
        \ifpriornum
          \ifnum\c@cksm@mctr&gt;\z@\namenumberand\else\namenumbercomma\fi
        \fi
        \unitnumbername{\theksm@mctr}%
        \ifnotnumtonameallcaps\lowernumtonametrue\fi
        \priornumtrue
      \fi
    \fi
    \ifnum \c@cksm@mctr &gt; \z@
      \ifpriornum\space\fi
      \nNamem
    \else
      \ifnum \c@xksm@mctr &gt; \z@
        \ifpriornum\space\fi
        \nNamem
      \else
        \ifnum \c@ksm@mctr &gt; \z@
          \ifpriornum\space\fi
          \nNamem
        \fi
      \fi
    \fi
%% hundreds
    \ifnum \c@csm@mctr &gt; \z@
      \ifpriornum\namenumbercomma\fi
      \unitnumbername{\thecsm@mctr}\space
        \ifnotnumtonameallcaps\lowernumtonametrue\fi\nNamec
      \priornumtrue
    \fi
%% tens/units
  \ifmakeordinal
    \ifnum \c@xsm@mctr &gt; \z@
      \ifpriornum\namenumberand\fi
      \tensordinalname{\thexsm@mctr}{\theism@mctr}%
    \else
      \ifnum \c@ism@mctr &gt; \z@
        \ifpriornum\namenumberand\fi
        \unitordinalname{\theism@mctr}%
      \else
        \ifpriornum\nthstring\else\unitordinalname{\theism@mctr}\fi
      \fi
    \fi
  \else  % not ordinal
    \ifnum \c@xsm@mctr &gt; \z@
      \ifpriornum\namenumberand\fi
      \tensnumbername{\thexsm@mctr}{\theism@mctr}%
    \else
      \ifnum \c@ism@mctr &gt; \z@
        \ifpriornum\namenumberand\fi
        \unitnumbername{\theism@mctr}%
      \else
        \ifpriornum\else\unitnumbername{\theism@mctr}\fi
      \fi
    \fi
  \fi % end ifmakeordinal
\endgroup
}

\newcommand*{\numtoname}[1]{%
  \makeordinalfalse
  \notnumtonameallcapstrue%
  \lowernumtonametrue%
  \n@me@number{#1}}

\newcommand*{\numtoName}[1]{%
  \makeordinalfalse
  \notnumtonameallcapstrue%
  \lowernumtonamefalse%
  \n@me@number{#1}}

\newcommand*{\NumToName}[1]{%
  \makeordinalfalse
  \notnumtonameallcapsfalse%
  \lowernumtonamefalse%
  \n@me@number{#1}}

\newcommand*{\ordinaltoname}[1]{%
  \makeordinaltrue
  \notnumtonameallcapstrue%
  \lowernumtonametrue%
  \n@me@number{#1}}

\newcommand*{\ordinaltoName}[1]{%
  \makeordinaltrue
  \notnumtonameallcapstrue%
  \lowernumtonamefalse%
  \n@me@number{#1}}

\newcommand*{\OrdinalToName}[1]{%
  \makeordinaltrue
  \notnumtonameallcapsfalse%
  \lowernumtonamefalse%
  \n@me@number{#1}}
%%
%% End of file `numname.sty'.
</pre></body></html>