% \iffalse     ---!!! FIRST META-COMMENT !!!---
% 
% 
% This file is mathfont_code.dtx from version 2.2 of the
% free and open-source LaTeX package "mathfont," to be 
% used with the XeTeX or LuaTeX engines. Running Plain
% TeX mathfont_code.dtx will produce the following files:
% 
%   (1) the package file mathfont.sty;
% 
%   (2) the derived files mathfont_symbol_list.tex,
%       mathfont_user_guide.tex, and four files called
%       mathfont_example_<fontname>.tex, which can be
%       used to typeset further documentation for
%       mathfont;
% 
%   (3) the stand-alone derived files mathfont_doc_patch.tex,
%       mathfont_equations.tex, and mathfont_heading.tex,
%       which are used to produce documentation;
% 
%     and
% 
%   (4) a number of other derived files.
% 
% Running LaTeX on mathfont_code.dtx will produce the files
% listed above as well as the following:
% 
%   (5) the pdf documentation file mathfont_code.pdf;
% 
%     and
% 
%   (6) a number of other derived files.
% 
% To install mathfont on your computer, run this file through
% Plain TeX or LaTeX and move mathfont.sty into a directory 
% searchable by TeX. See the associated README.txt file for
% installation information.
% 
% 
% \fi
% \iffalse     ---!!! SECOND META-COMMENT !!!---
% 
% 
% This file is from version 2.2 of the free and open-source
% LaTeX package "mathfont," to be used with the XeTeX or
% LuaTeX engines. (As of version 2.0, LuaTeX is recommended.)
% 
% Copyright 2018-2022 by Conrad Kosowsky
% 
% This Work may be used, distributed, and modified under the
% terms of the LaTeX Public Project License, version 1.3c or
% any later version. The most recent version of this license
% is available online at
% 
%           https://www.latex-project.org/lppl/.
% 
% This Work has the LPPL status "maintained," and the current
% maintainer is the package author, Conrad Kosowsky. He can
% be reached at kosowsky.latex@gmail.com. The Work consists
% of the following items:
% 
%   (1) the base file:
%         mathfont_code.dtx
% 
%   (2) the package file:
%         mathfont.sty
% 
%   (3) the derived files:
%         mathfont_doc_patch.tex
%         mathfont_equations.tex
%         mathfont_example_cormorant.tex
%         mathfont_example_kelvinch.tex
%         mathfont_example_roboto.tex
%         mathfont_example_typey.tex
%         mathfont_heading.tex
%         mathfont_symbol_list.tex
%         mathfont_user_guide.tex
% 
%   (4) the pdf documentation files:
%         mathfont_code.pdf,
%         mathfont_example_cormorant.pdf
%         mathfont_example_kelvinch.pdf
%         mathfont_example_roboto.pdf
%         mathfont_example_typey.pdf
%         mathfont_symbol_list.pdf
%         mathfont_user_guide.pdf
% 
%   (5) all other files created through the configuration
%       process
% 
%     and
% 
%   (6) the associated README.txt file
% 
% The Work does not include any fonts, and the installation
% does not contain any font files. The fonts Bona Nova,
% Cormorant, Crimson, Kelvinch, Overpass, STIXGeneral, and
% Typey McTypeface have been released under the SIL Open
% Font License and are used pursuant to that license. The
% font Roboto has been released under the Apache License
% and is used pursuant to that license.
% 
% PLEASE KNOW THAT THIS FREE SOFTWARE IS PROVIDED WITHOUT
% ANY WARRANTY. SPECIFICALLY, THE "NO WARRANTY" SECTION OF
% THE LATEX PROJECT PUBLIC LICENSE STATES THE FOLLOWING:
% 
% THERE IS NO WARRANTY FOR THE WORK. EXCEPT WHEN OTHERWISE
% STATED IN WRITING, THE COPYRIGHT HOLDER PROVIDES THE WORK
% `AS IS’, WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
% OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
% WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
% PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE
% OF THE WORK IS WITH YOU. SHOULD THE WORK PROVE DEFECTIVE,
% YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR, OR
% CORRECTION.
% 
% IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED
% TO IN WRITING WILL THE COPYRIGHT HOLDER, OR ANY AUTHOR
% NAMED IN THE COMPONENTS OF THE WORK, OR ANY OTHER PARTY
% WHO MAY DISTRIBUTE AND/OR MODIFY THE WORK AS PERMITTED
% ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL,
% SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT
% OF ANY USE OF THE WORK OR OUT OF INABILITY TO USE THE WORK
% (INCLUDING, BUT NOT LIMITED TO, LOSS OF DATA, DATA BEING
% RENDERED INACCURATE, OR LOSSES SUSTAINED BY ANYONE AS A
% RESULT OF ANY FAILURE OF THE WORK TO OPERATE WITH ANY
% OTHER PROGRAMS), EVEN IF THE COPYRIGHT HOLDER OR SAID
% AUTHOR OR SAID OTHER PARTY HAS BEEN ADVISED OF THE
% POSSIBILITY OF SUCH DAMAGES.
% 
% For more information, see the Latex Project Public License.
% Derivative works based on this package may come with their
% own license or terms of use, and the package author is not
% responsible for any third-party software.
% 
% Happy TeXing!
% 
% 
% \fi
% \iffalse
% 
% The installation and driver files are incorporated into
% mathfont_code.dtx, so we do not need to generate them
% separately. The <batchfile> and <driver> tags are for 
% reference.
% 
%<*batchfile>
\begingroup
\input docstrip.tex
\keepsilent
\askforoverwritefalse
\preamble

This file is from version 2.2 of the free and open-source
LaTeX package "mathfont," to be used with the XeTeX or
LuaTeX engines. (As of version 2.0, LuaTeX is recommended.)

Copyright 2018-2022 by Conrad Kosowsky

This Work may be used, distributed, and modified under the
terms of the LaTeX Public Project License, version 1.3c or
any later version. The most recent version of this license
is available online at

          https://www.latex-project.org/lppl/.

This Work has the LPPL status "maintained," and the current
maintainer is the package author, Conrad Kosowsky. He can
be reached at kosowsky.latex@gmail.com.

PLEASE KNOW THAT THIS FREE SOFTWARE IS PROVIDED WITHOUT
ANY WARRANTY. SPECIFICALLY, THE "NO WARRANTY" SECTION OF
THE LATEX PROJECT PUBLIC LICENSE STATES THE FOLLOWING:

THERE IS NO WARRANTY FOR THE WORK. EXCEPT WHEN OTHERWISE
STATED IN WRITING, THE COPYRIGHT HOLDER PROVIDES THE WORK
`AS IS’, WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE
OF THE WORK IS WITH YOU. SHOULD THE WORK PROVE DEFECTIVE,
YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR, OR
CORRECTION.

IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED
TO IN WRITING WILL THE COPYRIGHT HOLDER, OR ANY AUTHOR
NAMED IN THE COMPONENTS OF THE WORK, OR ANY OTHER PARTY
WHO MAY DISTRIBUTE AND/OR MODIFY THE WORK AS PERMITTED
ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL,
SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT
OF ANY USE OF THE WORK OR OUT OF INABILITY TO USE THE WORK
(INCLUDING, BUT NOT LIMITED TO, LOSS OF DATA, DATA BEING
RENDERED INACCURATE, OR LOSSES SUSTAINED BY ANYONE AS A
RESULT OF ANY FAILURE OF THE WORK TO OPERATE WITH ANY
OTHER PROGRAMS), EVEN IF THE COPYRIGHT HOLDER OR SAID
AUTHOR OR SAID OTHER PARTY HAS BEEN ADVISED OF THE
POSSIBILITY OF SUCH DAMAGES.

For more information, see the LaTeX Project Public License.
Derivative works based on this package may come with their
own license or terms of use, and the package author is not
responsible for any third-party software.

For more information, see mathfont_code.dtx. Happy TeXing!

\endpreamble
\generate{
  \file{mathfont.sty}{\from{mathfont_code.dtx}{package}}
  \file{mathfont_symbol_list.tex}{\from{mathfont_code.dtx}{chars}}
  \file{mathfont_user_guide.tex}{\from{mathfont_code.dtx}{user}}
  \file{mathfont_heading.tex}{\from{mathfont_code.dtx}{heading}}
  \file{mathfont_doc_patch.tex}{\from{mathfont_code.dtx}{doc}}
  \file{mathfont_equations.tex}{\from{mathfont_code.dtx}{equations}}
  \file{mathfont_example_cormorant.tex}{\from{mathfont_code.dtx}{cormorant}}
  \file{mathfont_example_kelvinch.tex}{\from{mathfont_code.dtx}{kelvinch}}
  \file{mathfont_example_roboto.tex}{\from{mathfont_code.dtx}{roboto}}
  \file{mathfont_example_typey.tex}{\from{mathfont_code.dtx}{typey}}}
\catcode`\ =12\relax
\message{^^J
****************************************************^^J
*                                                  *^^J
* To finish the installation, move the following   *^^J
* file into a directory searchable by TeX once     *^^J
* mathfont_code.dtx finishes compiling:            *^^J
*                                                  *^^J
*                   mathfont.sty                   *^^J
*                                                  *^^J
****************************************************^^J^^J^^J^^J}
\endgroup
\ifx\LaTeX\undefined
  \message{Plain TeX format used; quitting now.}
  \message{To create mathfont_code.pdf, run^^J%
  mathfont_code.dtx through LaTeX.^^J}
  \expandafter\end
\fi
%</batchfile>
%<*driver>
\documentclass[12pt,doc2,letterpaper]{ltxdoc}
\makeatletter
\usepackage[margin=1in]{geometry}
\usepackage[factor=700,stretch=14,shrink=14,step=1]{microtype}
\usepackage{graphicx}
\usepackage{tabularx}
\usepackage{booktabs}
\usepackage{multirow}
\c@IndexColumns=2
\c@topnumber\@ne
\columnsep=20pt
\MacroIndent=1.32em
\AtBeginDocument{%
  \baselineskip=\the\baselineskip plus 0.3pt minus 0.3pt\relax}
\let\index@prologue\relax
\EnableCrossrefs\CodelineIndex
\begin{document}
  \def\documentname{Implementation}
  \def\showabstract{1}
  \input mathfont_doc_patch.tex
  \input mathfont_heading.tex
  \DocInput{mathfont_code.dtx}
  \vfil\eject
  \immediate\closeout\@indexfile
  \ifx\directlua\@undefined
    \immediate\write18{makeindex -s gind.ist mathfont_code.idx}
  \else
    \directlua{os.execute("makeindex -s gind.ist mathfont_code.idx")}
  \fi
  
  \section*{Index}
  
  Upright entries refer to lines in the code, and italic
  entries indicate pages in the document. Bold means a
  definition.
  
  %\medskip
  \input mathfont_code.ind
  
\end{document}
%</driver>
%<*package>
% 
% \fi
% 
% 
% \CheckSum{6615}
% \init@checksum
% 
% 
% \makeatother\CharacterTable
%   {Upper-case   \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%   Digits        \0\1\2\3\4\5\6\7\8\9
%   Exclamation     \!      Double quote   \"      Hash (number)   \#
%   Dollar          \$      Percent        \%      Ampersand       \&
%   Acute accent    \'      Left paren     \(      Right paren     \)
%   Asterisk        \*      Plus           \+      Comma           \,
%   Minus           \-      Point          \.      Solidus         \/
%   Colon           \:      Semicolon      \;      Less than       \<
%   Equals          \=      Greater than   \>      Question mark   \?
%   Commercial at   \@      Left bracket   \[      Backslash       \\
%   Right bracket   \]      Circumflex     \^      Underscore      \_
%   Grave accent    \`      Left brace     \{      Vertical bar    \|
%   Right brace     \}      Tilde          \~}
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% 
% 
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%   \@tempa,\@tempb,\@tempc,\@temp@opt,\@temp@sub,\@i,\@j,\@k,\count,\tw@,%
%   \do,\DeclareMathSymbol,\the,\mathalpha,\mathord,\multiply,%
%   \mathop,\mathbin,\mathrel,\mathopen,\mathclose,\mathpunct,\mathinner,%
%   \DeclareRobustCommand,\joinrel,\smash,\newtoks,\if,\\,\@nil,\leavevmode,%
%   \begingroup,\endgroup,\+,\active,\@gobbletwo,\GenericError,\catcode,
%   \wlog,\typeout,\E@sterEggUpd@te,\show,\@temperror,%
%   \xdef,\@for,\@tfor,\@ifundefined,\@ifpackageloaded,\@nnil,\@onlypreamble,%
%   \AtBeginDocument,\AtEndOfPackage,\AtVeryVeryEnd,\bgroup,\CurrentOption,%
%   \egroup,\escapechar,\ifM@upper,\ifM@lower,\ifM@diacritics,%
%   \ifM@greekupper,\ifM@greeklower,\ifM@agreekupper,%
%   \ifM@agreeklower,\ifM@cyrillicupper,\ifM@cyrilliclower,%
%   \ifM@hebrew,\ifM@digits,\ifM@operator,\ifM@symbols,%
%   \ifM@extsymbols,\ifM@delimiters,\ifM@arrows,\ifM@bigops,%
%   \ifM@extbigops,\ifM@bb,\ifM@cal,\ifM@frak,\ifM@bcal,\M@font@loadedtrue,%
%   \ifM@bfrak,\if@optionpresent,\if@suboptionpresent,%
%   \mathgroup,\nolimits,\on@line,\PackageWarningNoLine,\RequirePackage,%
%   \thr@@,\M@toks,\inputlineno,\mathchar@type,\DeclareMathAccent,%
%   \ifM@EasterEgg@declare,\M@EasterEgg@declaretrue,\M@EasterEgg@declarefalse,%
%   \IfFileExists,\E@sterEggHook,\@gobblefour,\@gobbletwo@brackets,%
%   \protected,\@eha,\@cclv,\new@mathgroup,\new@symbolfont,\@latex@error,%
%   \ifcase,\or,\thr@@,\gdef,\rmdefault,\openin,\closein,\immediate,%
%   \M@Decl@reF@milytrue,\M@Decl@reF@milyfalse,\itdefault,\shapedefault,%
%   \mddefault,\bfdefault,\E@sterEggDecl@redtrue,\detokenize,\@ifnextchar,%
%   \@next,\@suboptionpresenttrue,\@suboptionpresentfalse,\@break@tfor,%
%   \M@adjust@fonttrue,\M@adjust@fontfalse,\M@fromCharmFiletrue,%
%   \M@fromCharmFilefalse,\M@arg@goodtrue,\M@arg@goodfalse,\M@Noluaotfloadtrue,%
%   \M@Noluaotfloadfalse,\M@XeTeXLuaTeXtrue,\ifcsname,\ifdefined,\TU,\",%
%   \@@DeclareSymbolFont,\@@set@mathaccent,\@@set@mathchar,\@@set@mathsymbol,%
%   \@expandedtwoargs,\@spaces,\@tempswatrue,\@tempswafalse,\@iftempswa,%
%   \@tempbase,\@tempfeatures,\copy,\e@mathgroup@top,\endlinechar,\everyeof,%
%   \globaldefs,\m@th,\newbox,\newread,\newmuskip,\number,\setmainfont,%
%   \zap@space,\setbox,\clap,\hss,\ht,\wd,\dp,\raise,\M@arrows@font,%
%   \M@delimiters@font,\M@extbigops@font,\M@extsymbols@font,\M@symbols@font,%
%   \M@greekupper@font,\M@greeklower@font,\M@agreekupper@font,%
%   \M@agreeklower@font,\M@bigops@font,\M@upper@font,\M@lower@font,%
%   \M@radical@font,\M@diacritics@font,\M@cyrillicupper@font,%
%   \M@cyrilliclower@font,\M@hebrew@font,\Umathcode,\EasterEggUpdate,%
%   \@firstofone,\if@arg@good,\M@f@ntn@me,\M@f@ntn@meb@se,\dimen@}
% \DoNotIndex{\cyrA,\cyrBe,\cyrVe,\cyrGhe,\cyrDe,%
%   \cyrIe,\cyrZhe,\cyrZe,\cyrI,\cyrKa,\cyrEl,%
%   \cyrEm,\cyrEn,\cyrO,\cyrPe,\cyrEr,\cyrEs,%
%   \cyrTe,\cyrU,\cyrEf,\cyrHa,\cyrTse,\cyrChe,%
%   \cyrSha,\cyrShcha,\cyrHard,\cyrYeru,\cyrSoft,%
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%   \cyri,\cyrka,\cyrel,\cyrem,\cyren,\cyro,%
%   \cyrpe,\cyrer,\cyres,\cyrte,\cyru,\cyref,%
%   \cyrha,\cyrtse,\cyrche,\cyrsha,\cyrshcha,%
%   \cyrhard,\cyryeru,\cyrsoft,\cyre,\cyryu,%
%   \cyrya,\cyrvari}
% 
%  
% \DoNotIndex{\@@set@mathchar,\@@set@mathsymbol,%
%   \@@set@mathaccent,\set@mathchar,\set@mathsymbol,%
%   \set@mathaccent,\Umathcode,\Umathchardef,%
%   \colon,\mathellipsis,\angle,\sqsubset,\sqsupset,\bowtie,%
%   \doteq,\neq,\ng,\clubsuit,\spadesuit,\diamondsuit,%
%   \heartsuit,\cong,\uparrow,\Uparrow,\downarrow,\Downarrow,%
%   \updownarrow,\Updownarrow,\longrightarrow,\longleftarrow,$
%   \longleftrightarrow,\hookrightarrow,\hookleftarrow,%
%   \Longrightarrow,\Longleftarrow,\Longleftrightarrow,%
%   \rightleftharpoons,\to,\mapsto,\mapsto,\longmapsto,%
%   \from,\mapsfrom,\longmapsfrom,\lightningboltarrow,\sum,%
%   \prod,\coprod,\bigvee,\bigwedge,\bigcup,\bigcap,%
%   \bigoplus,\bigotimes,\bigodot,\bigsqcup,\iint,\iiint,%
%   \oint,\oiint,\oiiint,\Umathaccent,\@uppershape,%
%   \@lowershape,\@diacriticsshape,\@greekuppershape,%
%   \@greeklowershape,\@agreekuppershape,\@agreeklowershape,%
%   \@cyrillicuppershape,\@cyrilliclowershape,\@hebrewshape,%
%   \@digitsshape,\@operatorshape,\@symbolsshape,%
%   \@extsymbolsshape,\@delimitersshape,\@arrowsshape,%
%   \@bigopsshape,\@extbigopsshape,\@bbshape,\@calshape,%
%   \@frakshape,\@bcalshape,\@bfrakshape}
% 
% 
% \noindent This file documents the code for the \textsf{mathfont} package. It is not a user guide! If you are looking for instructions on how to use \textsf{mathfont} in your document, see |mathfont_user_guide.pdf|, which is included with the \textsf{mathfont} installation and is available on \textsc{ctan}. See also the other |pdf| documentation files for \textsf{mathfont}. Section~1 of this document begins with the implementation basics, including package declaration and package options. Section~2 deals with errors and messaging, and section~3 provides package default settings. Section~4 contains fontloader, and section~5 contains the optional-argument parser for |\mathfont|. Section 6 documents the code for the |\mathfont| command itself. Section~7 contains the code for local font changes. Section~8 contains miscellaneous material. Sections~9--11 contain the Lua code to modify font objects at loading, and section~12 lists the unicode hex values used in symbol declaration. Version history and code index appear at the end of the document.
% 
% \section{Implementation Basics}
% 
% First and foremost, the package needs to declare itself.
%    \begin{macrocode}
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{mathfont}[2022/12/04 v. 2.2 Package mathfont]
%    \end{macrocode}
% We specify conditionals that we will use later in handling options and setup.
%    \begin{macrocode}
\newif\ifM@XeTeXLuaTeX     % is engine one of xetex or luatex?
\newif\ifM@Noluaotfload    % cannot find luaotfload.sty?
\newif\ifM@adjust@font     % should adjust fonts with lua script?
\newif\ifM@font@loaded     % load mathfont with font specified?
\newif\ifE@sterEggDecl@red % already did easter egg?
%    \end{macrocode}
% We disable the twenty user-level commands. If \textsf{mathfont} runs normally, it will overwrite these ``bad'' definitions later, but if it throws one of its two fatal errors, it will |\endinput| while the user-level commands are error messages. That way the commands don't do anything in the user's document, and the user gets information on why not. The bad definitions gobble their original arguments to avoid a ``missing |\begin{document}|'' error.\indexpage{invalid command}
%    \begin{macrocode}
\long\def\@gobbletwo@brackets[#1]#2{}
\def\M@NoMathfontError#1{\PackageError{mathfont}
  {\MessageBreak Invalid command\MessageBreak
  \string#1 on line \the\inputlineno}
  {Your command was ignored. I couldn't\MessageBreak
  load mathfont, so I never defined this\MessageBreak
  control sequence.}}
\protected\def\mathfont{\M@NoMathfontError\mathfont
  \@ifnextchar[\@gobbletwo@brackets\@gobble}
\protected\def\setfont{\M@NoMathfontError\setfont\@gobble}
\protected\def\mathconstantsfont{\M@NoMathfontError\mathconstantsfont
  \@ifnextchar[\@gobbletwo@brackets\@gobble}
\protected\def\newmathrm{\M@NoMathfontError\newmathrm\@gobbletwo}
\protected\def\newmathit{\M@NoMathfontError\newmathit\@gobbletwo}
\protected\def\newmathbf{\M@NoMathfontError\newmathbf\@gobbletwo}
\protected\def\newmathbfit{\M@NoMathfontError\newmathbf\@gobbletwo}
\protected\def\newmathbold{\M@NoMathfontError\newmathbold\@gobbletwo}
\protected\def\newmathboldit{\M@NoMathfontError\newmathbold\@gobbletwo}
\protected\def\newmathsc{\M@NoMathfontError\newmathsc\@gobbletwo}
\protected\def\newmathscit{\M@NoMathfontError\newmathscit\@gobbletwo}
\protected\def\newmathbfsc{\M@NoMathfontError\newmathbfsc\@gobbletwo}
\protected\def\newmathbfscit{\M@NoMathfontError\newmathbfscit\@gobbletwo}
\protected\def\newmathfontcommand{%
  \M@NoMathfontError\newmathfontcommand\@gobblefour}
\protected\def\RuleThicknessFactor{%
  \M@NoMathfontError\RuleThicknessFactor\@gobble}
\protected\def\IntegralItalicFactor{%
  \M@NoMathfontError\IntegralItalicFactor\@gobble}
\protected\def\SurdVerticalFactor{%
  \M@NoMathfontError\SurdVerticalFactor\@gobble}
\protected\def\SurdHorizontalFactor{%
  \M@NoMathfontError\SurdHorizontalFactor\@gobble}
\protected\def\CharmLine{\M@NoMathfontError\CharmLine\@gobble}
\protected\def\CharmFile{\M@NoMathfontError\CharmFile\@gobble}
%    \end{macrocode}
% Check that the engine is \XeTeX\ or Lua\TeX. If yes, set |\ifM@XeTeXLuaTeX| to true. (Otherwise the conditional will be false by default.)
%    \begin{macrocode}
\ifdefined\directlua
  \M@XeTeXLuaTeXtrue
\fi
\ifdefined\XeTeXrevision
  \M@XeTeXLuaTeXtrue
\fi
%    \end{macrocode}
% The package can raise two fatal errors: one if the engine is not \XeTeX\ or Lua\TeX\ (and cannot load OpenType fonts) and one if \TeX\ cannot find the \textsf{luaotfload} package. In this case, the package will stop loading, so we want a particularly conspicuous error message.
% 
% The error message itself is organized as follows. For each message, we check the appropriate conditional to determine if we need to raise the error. If yes, we change |+| to active and define it to be equal to a space character. We use |+| to print multiple spaces inside the error message, and we put the catcode change inside a group to keep it local.\indexpage{catcode changes} We define a |\GenericError| inside a macro and then call the macro for a cleaner error message. The |\@gobbletwo| eats the extra period and return that \LaTeX\ adds to the error message. Notice that we |\endgroup| immediately after issuing the error\textemdash this is because we need |\M@NoFontspecError| to both tokenize its definition and then evaluate while |+| has catcode 13. Otherwise, \TeX\ will issue an |\inaccessible| error. However, we want |\AtBeginDocument| and |\endinput| outside the group. The |\expandafter| means that we expand the final |\fi| before |\endinput|, which balances the original conditional.\indexpage{unable to load}\indexpage{missing xetex or luatex=missing \XeTeX\ or Lua\TeX}
%    \begin{macrocode}
\ifM@XeTeXLuaTeX\else
  \begingroup
    \catcode`\+=\active
    \def+{ }
    \def\M@XeTeXLuaTeXError{\GenericError{}
      {\MessageBreak\MessageBreak
      Package mathfont error:
      \MessageBreak\MessageBreak
      +*************************\MessageBreak
      +*+++++++++++++++++++++++*\MessageBreak
      +*+++++++UNABLE TO+++++++*\MessageBreak
      +*+++++LOAD MATHFONT+++++*\MessageBreak
      +*+++++++++++++++++++++++*\MessageBreak
      +*+++++Missing XeTeX+++++*\MessageBreak
      +*+++++++or LuaTeX+++++++*\MessageBreak
      +*+++++++++++++++++++++++*\MessageBreak
      +*************************\MessageBreak\@gobbletwo}
      {See the mathfont package documentation for explanation.}
      {I need XeTeX or LuaTeX to make mathfont\MessageBreak
      work properly. It looks like the current\MessageBreak
      engine is something else, so I'm going to\MessageBreak
      stop reading in the package file now. (You\MessageBreak
      won't be able to use commands from mathfont\MessageBreak
      in your document.) To make mathfont work\MessageBreak
      correctly, please retypeset your document\MessageBreak
      with one of those two engines.^^J}}
    \M@XeTeXLuaTeXError
  \endgroup
  \AtEndOfPackage{\typeout{:: mathfont :: Failed to load\on@line.}}
  \expandafter\endinput % we should \endinput with a balanced conditional
\fi
%    \end{macrocode}
% Now do the same thing in checking for \textsf{luaotfload}. If the engine is Lua\TeX, we tell \textsf{mathfont} to implement Lua-based font adjustments by default. The conditional |\ifM@Noluaotfload| will keep track of whether \TeX\ could find |luaotfload.sty|. If the engine is \XeTeX, issue a warning.
%    \begin{macrocode}
\ifdefined\directlua
  \M@adjust@fonttrue % if engine is LuaTeX, adjust font by default
  \IfFileExists{luaotfload.sty}{\M@Noluaotfloadfalse}{\M@Noluaotfloadtrue}
\else
  \PackageWarningNoLine{mathfont}{%
    The current engine is XeTeX, but as\MessageBreak
    of mathfont version 2.0, LuaTeX is\MessageBreak
    recommended. Consider compiling with\MessageBreak
    LuaLaTeX. Certain features will not\MessageBreak
    work with XeTeX}
\fi
%    \end{macrocode}
% If the engine is Lua\TeX, we absolutely must have \textsf{luaotfload} because Lua\TeX\ needs this package to load OpenType fonts. Before anything else, \TeX\ should check whether it can find |luaotfload.sty| and stop reading in \textsf{mathfont} if it cannot. Same command structure as before. Newer \LaTeX\ installations try to load \textsf{luaotfload} as part of the format, but it never hurts to double check.\indexpage{unable to load}\indexpage{cannot not find the file luaotfloadsty=cannot find the file \texttt{luaotfload}}
%    \begin{macrocode}
\ifM@Noluaotfload % false by default; true if LuaTeX AND no luaotfload.sty
  \begingroup
    \catcode`\+=\active
    \def+{ }
    \def\M@NoluaotfloadError{\GenericError{}
      {\MessageBreak\MessageBreak
      Package mathfont error:
      \MessageBreak\MessageBreak
      +*************************\MessageBreak
      +*+++++++++++++++++++++++*\MessageBreak
      +*+++++++UNABLE TO+++++++*\MessageBreak
      +*+++++LOAD MATHFONT+++++*\MessageBreak
      +*+++++++++++++++++++++++*\MessageBreak
      +*++++Cannot find the++++*\MessageBreak
      +*++file luaotfload.sty++*\MessageBreak
      +*+++++++++++++++++++++++*\MessageBreak
      +*************************\MessageBreak\@gobbletwo}
      {You are likely seeing this message because you haven't^^J%
      installed luaotfload. Check your TeX distribution for a^^J%
      list of the packages on your system. See the mathfont^^J%
      documentation for further explanation.^^J}
      {It looks like the current engine is LuaTeX, so I\MessageBreak
      need the luaotfload package to make mathfont work\MessageBreak
      correctly. I can't find luaotfload, so I'm going to\MessageBreak
      stop reading in the mathfont package file now. (You\MessageBreak
      won't be able to use commands from mathfont in your\MessageBreak
      document.) To make mathfont work correctly, make\MessageBreak
      sure luaotfload.sty is installed on your computer\MessageBreak
      in a directory searchable by TeX or compile with\MessageBreak
      XeLaTeX.^^J}}
    \M@NoluaotfloadError
  \endgroup
  \AtEndOfPackage{\typeout{:: mathfont :: Failed to load\on@line.}}
  \expandafter\endinput % we should \endinput with a balanced conditional
\fi
%    \end{macrocode}
% Some package options are now deprecated, specifically |packages|, |operators|, and |no-|\penalty0|operators|. In the case of these options, the command |\M@Optiondeprecated| issues an error and tells the user the appropriate alternative.\indexpage{deprecated} We check for \textsf{atveryend} to use with the easter egg.
%    \begin{macrocode}
\def\M@Optiondeprecated#1#2{\PackageError{mathfont}
  {Option "#1" deprecated}
  {Your option was ignored. Please\MessageBreak
  use #2\MessageBreak
  instead. For more information,\MessageBreak
  see the mathfont documentation.}}
%    \end{macrocode}
% Now we code the package options. The deprecated options now cause an error.
%    \begin{macrocode}
\DeclareOption{packages}{%
  \M@Optiondeprecated{packages}
  {the macro \string\restoremathinternals}}
\DeclareOption{operators}{%
  \M@Optiondeprecated{operators}
  {the bigops keyword with \string\mathfont}}
\DeclareOption{no-operators}{%
  \M@Optiondeprecated{no-operators}
  {the bigops keyword with \string\mathfont}}
%    \end{macrocode}
% Easter egg!
%    \begin{macrocode}
\DeclareOption{easter-egg}{%
  \ifE@sterEggDecl@red\else
    \E@sterEggDecl@redtrue
    \def\EasterEggUpdate{\show\E@sterEggUpd@te}
    \def\E@sterEggUpd@te{Easter Egg Status:^^J^^J%
        Okay, opening your Easter egg.^^J^^J}
      \EasterEggUpdate
    \def\E@sterEggUpd@te{Easter Egg Status:^^J^^J%
        Uh oh. It looks like^^J%
        your Easter egg flew^^J%
        out the window. I don't^^J%
        suppose you know the^^J%
        best kind of bait to^^J%
        lure an egg?^^J^^J}
      \EasterEggUpdate
    \def\E@sterEggUpd@te{Easter Egg Status:^^J^^J%
        Still wrangling. Try back later.^^J^^J}
    \AtBeginDocument{\bgroup
      \def\E@sterEggUpd@te{Easter Egg Status:^^J^^J:%
        If we have zero eggs^^J%
        and zero bunnies, how^^J%
        many gnats does it take^^J%
        to change a lightbulb??^^J^^J}
      \EasterEggUpdate
      \egroup}
    \AtEndDocument{%
      \def\E@sterEggUpd@te{Easter Egg Status:^^J^^J%
        Happy, happy day! Happy,^^J%
        happy day! Clap your hands,^^J%
        and be glad your hovercraft^^J%
        isn't full of eels!^^J^^J}
        \EasterEggUpdate
      \let\E@sterEggUpd@te\relax
      \let\EasterEggUpdate\relax}
  \fi}% my easter egg :)
%    \end{macrocode}
% The three real package options. The options |adjust| and |no-adjust| overwrite \textsf{mathfont}'s default decision about whether to apply Lua-based font adjustments to all future fonts loaded.
%    \begin{macrocode}
\DeclareOption{adjust}{\M@adjust@fonttrue}
\DeclareOption{no-adjust}{\M@adjust@fontfalse}
%    \end{macrocode}
% Interpret an unknown option as a font name and save it for loading. In this case, the package sets |\ifM@font@loaded| to true and stores the font name in |\M@font@load|.
%    \begin{macrocode}
\DeclareOption*{\M@font@loadedtrue\edef\M@font@load{\CurrentOption}}
\ProcessOptions*
%    \end{macrocode}
% We print an informational message depending on whether the user enabled Lua-based font adjustments. If |\directlua| is defined, that means we are using Lua\TeX, so we print a message depending on |\ifM@adjust@font|.
%    \begin{macrocode}
\ifdefined\directlua
  \ifM@adjust@font
    \AtEndOfPackage{%
      \typeout{:: mathfont :: Lua-based font adjustments enabled.}}
  \else
    \AtEndOfPackage{%
      \typeout{:: mathfont :: Lua-based font adjustments disabled.}}
  \fi
\else
%    \end{macrocode}
% If |\directlua| is undefined, we say that Lua-based font adjustments are disabled, and we issue an error if the user tried to manually enable them.
%    \begin{macrocode}
  \AtEndOfPackage{%
    \typeout{:: mathfont :: Lua-based font adjustments disabled.}}
  \ifM@adjust@font
    \AtEndOfPackage{%
    \PackageError{mathfont}{Option^^J"adjust" ignored with XeTeX}
    {Your package option "adjust" was ignored.\MessageBreak
    This option works only with LuaTeX, and it\MessageBreak
    looks like the current engine is XeTeX. To\MessageBreak
    enable Lua-based font adjustments, compile\MessageBreak
    with LuaLaTeX.^^J}}
    \M@adjust@fontfalse
  \fi
\fi
%    \end{macrocode}
% 
% 
% \section{Errors and Messaging}
% 
% Some error and informational messages. Table~1 lists all macros defined in this section along with a brief description of their use. We begin with general informational messages.\indexpage{Package mathfont Info}
% 
% \begin{figure}[b]
% \def\vrb#1{\texttt{\string#1}}
% \centerline{\bfseries Table 1: Various Messages and Errors and Their Uses\strut}
% \begin{tabularx}\textwidth{lX}
% \toprule
% Command & Use\\\midrule
% \vrb\M@FontChangeInfo & Use a symbol font for some characters\\
% \vrb\M@NewFontCommandInfo & Declare new alphanumeric font-change command\\
% \vrb\M@SymbolFontInfo & Declare new symbol font\\\midrule
% \vrb\M@CharsSetWarning & Warning when calling \vrb\mathfont\ multiple times for same keyword\\
% \vrb\M@InternalsRestoredError & User called \vrb\mathfont\ after restoring kernel\\
% \vrb\M@InvalidOptionError & Bad option for \vrb\mathfont\\
% \vrb\M@InvalidSupoptionError & Bad suboption for \vrb\mathfont\\
% \vrb\M@MissingOptionError & Missing an option for \vrb\mathfont\\
% \vrb\M@MissingSuboptionError & Missing suboption for \vrb\mathfont\\\midrule
% \vrb\M@BadMathConstantsFontError & Argument not previously fed to \vrb\mathfont\\
% \vrb\M@BadMathConstantsFontTypeError & Argument not ``upright'' or ``italic''\\
% \vrb\M@LuaTeXOnlyWarning & User called \vrb\mathcontsantsfont\ in \XeTeX\\\midrule
% \vrb\M@DeprecatedWarning & Warning for certain deprecated macros\\
% \vrb\M@DoubleArgError & Gave multiple tokens to be the font-change macro\\
% \vrb\M@HModeError & Font-change command used outside math mode\\
% \vrb\M@MissingControlSequenceError & No macro provided to be font-change command\\
% \vrb\M@NoFontspecFamilyError & Improper option \texttt{fontspec} for \vrb\mathfont\\
% \vrb\M@NoFontspecError & Option \texttt{fontspec} for \vrb\mathfont\ declared without having loaded \textsf{fontspec}\\\midrule
% \vrb\M@BadIntegerError & Font metric adjustment value was not an integer\\
% \vrb\M@ForbiddenCharmFile & Charm file contains a bad character\\
% \vrb\M@ForbiddenCharmLine & Charm line contains a bad character\\
% \vrb\M@NoFontAdjustError & Command called when Lua-based font adjustment was disabled\\
% \bottomrule
% \end{tabularx}
% \end{figure}
% 
%    \begin{macrocode}
\def\M@SymbolFontInfo#1#2#3#4{\wlog{^^JPackage mathfont Info:
  Declaring new symbol font from #1!^^J%
  NFSS Family Name: \space#2^^J%
  Series/Shape Info: #3^^J%
  Symbol Font Name:  \space#4^^J}}
\def\M@FontChangeInfo#1#2{\wlog{Package mathfont Info:
  Setting #1 chars to #2!}}
\def\M@NewFontCommandInfo#1#2#3#4#5{\wlog{^^JPackage mathfont Info:
  Creating \string#1 using #2!^^J%
  NFSS Family Name: \space#3^^J%
  Series/Shape Info: #4/#5^^J}}
\def\M@CharsSetWarning#1{\PackageWarning{mathfont}
  {I already set the font for\MessageBreak
  #1 chars, so I'm ignoring\MessageBreak
  this option for \string\mathfont\space
  on line \the\inputlineno\@gobble}}
%    \end{macrocode}
% \indexpage{I already set the font}
% Warnings for the |\mathbb|, etc.\ commands.
% Warning for deprecated commands.\indexpage{deprecated}
%    \begin{macrocode}
\def\M@DeprecatedWarning#1#2{\PackageWarning{mathfont}
  {Your \string#1\space command on\MessageBreak
  line \the\inputlineno\space is deprecated, and I\MessageBreak
  replaced it with \string#2\@gobble}}
%    \end{macrocode}
% Error messages associated with |\mathfont|.
% \indexpage{invalid option for mathfont=Invalid Option for \texttt{\char`\\mathfont}}
% \indexpage{invalid suboption for mathfont=Invalid Suboption for \texttt{\char`\\mathfont}}
% \indexpage{missing option for mathfont=Missing Option for \texttt{\char`\\mathfont}}
% \indexpage{missing suboption for mathfont=Missing Suboption for \texttt{\char`\\mathfont}}
% \indexpage{Internal commands restored}
% \indexpage{no previous font}\indexpage{missing package fontspec=Missing package \texttt{fontspec}}
%    \begin{macrocode}
\def\M@InvalidOptionError#1{\PackageError{mathfont}
  {Invalid^^Joption "#1" for \string\mathfont\on@line}
  {Hm. You used a keyword that isn't actually an optional\MessageBreak
  argument for \string\mathfont. Check 
  that you spelled the keyword\MessageBreak
  correctly. Otherwise, I'm not sure what's wrong. Is this\MessageBreak
  option listed in the package documentation? In any event,\MessageBreak
  I'm going to ignore it.^^J}}
\def\M@InvalidSuboptionError#1{\PackageError{mathfont}
  {Invalid^^Jsuboption "#1" for \string\mathfont\on@line}
  {Hm. You used a keyword that isn't actually a suboption\MessageBreak
  for \string\mathfont. Check that you 
  spelled the keyword correctly.\MessageBreak
  Otherwise, I'm not sure what's wrong. Is this suboption\MessageBreak
  listed in the package documentation? In any event, I'm\MessageBreak
  going to ignore it.^^J}}
\def\M@MissingOptionError{\PackageError{mathfont}
  {Missing^^Joption for \string\mathfont\on@line}
  {It looks like you included a , or = in\MessageBreak
  the optional argument of \string\mathfont\space but\MessageBreak
  didn't put anything before it.^^J}}
\def\M@MissingSuboptionError{\PackageError{mathfont}
  {Missing^^Jsuboption for \string\mathfont\on@line}
  {It looks like you included an = somewhere\MessageBreak
  but didn't put the suboption after it. Either\MessageBreak
  that or you typed == instead of = in the\MessageBreak
  optional argument of \string\mathfont.^^J}}
\def\M@InternalsRestoredError{\PackageError{mathfont}
  {Internal^^Jcommands restored}
  {This package slightly changes two LaTeX\MessageBreak
  internal commands, and you really shouldn't\MessageBreak
  be loading new math fonts without those\MessageBreak
  adjustments. What happened here is that you\MessageBreak
  used \string\mathfont\space in a situation where those\MessageBreak
  two commands retain their original defini-\MessageBreak
  tions. Presumably you used \string\mathfont\space after\MessageBreak
  calling the \string\restoremathinternals\space command.\MessageBreak
  I'm going to ignore this call to \string\mathfont.\MessageBreak
  Try typesetting this document with all\MessageBreak
  \string\mathfont\space commands placed before you call\MessageBreak
  \string\restoremathinternals.^^J}}
\def\M@NoFontspecFamilyError{\PackageError{mathfont}
  {No previous^^Jfont loaded by fontspec}
  {You called \string\mathfont\space
  with the argument "fontspec" \MessageBreak
  on line \the\inputlineno,
  and that tells me to use the previous \MessageBreak
  font loaded by the fontspec package. However, it \MessageBreak
  looks like you haven't loaded any fonts yet with \MessageBreak
  fontspec. To resolve this error, try using for \MessageBreak
  example \string\setmainfont\space
  before calling \string\mathfont.^^J}}
\def\M@NoFontspecError{\PackageError{mathfont}
  {Missing^^Jpackage fontspec}
  {You called \string\mathfont\space
  with the argument "fontspec" \MessageBreak
  on line \the\inputlineno,
  and that tells me to use the previous \MessageBreak
  font loaded by the fontspec package. However, you\MessageBreak
  haven't loaded fontspec, so some things are about\MessageBreak
  to get messed up. To resolve this error, load\MessageBreak
  fontspec before calling \string\mathfont.^^J}}
%    \end{macrocode}
% Error messages for |\mathconstantsfont|.
% \indexpage{Invalid font specifier}
% \indexpage{your mathconstants on line=Your \texttt{\char`\\mathconstants} on line}
%    \begin{macrocode}
\def\M@BadMathConstantsFontError#1{\PackageError{mathfont}
  {Invalid\MessageBreak font specifier for
  \string\mathconstantsfont:\MessageBreak"#1"}
  {Your command was ignored--I can't parse your argument.\MessageBreak
  Please make sure to use text that you have previously\MessageBreak
  fed to \string\mathfont\space for the argument of 
  \string\mathconstantsfont.^^J}}
\def\M@BadMathConstantsFontTypeError#1{\PackageError{mathfont}
  {Invalid\MessageBreak font specifier for
  \string\mathconstantsfont:\MessageBreak"#1"}
  {The optional argument of \string\mathconstantsfont\MessageBreak
  should be "upright" or "italic." Right now,\MessageBreak
  it's "#1."^^J}}
\def\M@LuaTeXOnlyWarning{\PackageWarning{mathfont}
    {Your \string\mathconstantsfont\space
    on line \the\inputlineno\space is\MessageBreak
    for LuaTeX only, and I'm ignoring it\@gobble}}
%    \end{macrocode}
% Error messages for the |\newmathrm|, etc.\ commands.
% \indexpage{Missing control sequence}
% \indexpage{Multiple characters in argument}
% \indexpage{Missing \$ inserted=Missing \texttt\$ inserted}
%    \begin{macrocode}
\def\M@MissingControlSequenceError#1#2{\PackageError{mathfont}
  {Missing control sequence\MessageBreak
  for\string#1\MessageBreak on input line \the\inputlineno}
  {Your command was ignored. Right now the\MessageBreak
  first argument of \string#1\space is "#2."\MessageBreak
  Please use a control sequence instead.^^J}}
\def\M@DoubleArgError#1#2{\PackageError{mathfont}
  {Multiple characters in\MessageBreak
  first argument of \string#1\MessageBreak
  on input line \the\inputlineno}
  {Your command was ignored. Right now the\MessageBreak
  first argument of \string#1\space is "#2,"\MessageBreak
  which is multiple characters. Please use\MessageBreak
  a single character instead.^^J}}
\def\M@HModeError#1{\PackageError{mathfont}
  {Missing \string$ inserted\MessageBreak
  on input line line \the\inputlineno}
  {I generated an error because 
  you used \string#1\space outside of\MessageBreak
  math mode. I inserted a \string$
  before your \string#1, so we\MessageBreak
  should be all good now.^^J}}
%    \end{macrocode}
% We need error messages related to Lua-based font adjustments.
% \indexpage{Forbidden charm info}
% \indexpage{Your command is invalid without Lua-based}
% \indexpage{Bad argument for}
%    \begin{macrocode}
\def\M@ForbiddenCharmLine#1{\PackageError{mathfont}
  {Forbidden charm info contains #1}
  {The argument of your \string\CharmLine\space
  macro on line \the\inputlineno\MessageBreak
  contains the character #1, which will mess me up\MessageBreak
  if I try to read it, so I'm ignoring this call\MessageBreak
  to \string\CharmLine. To resolve this error, make sure\MessageBreak
  your charm information contains only integers,\MessageBreak
  floats, asterisks, commas, and spaces.^^J}}
\def\M@ForbiddenCharmFile#1{\PackageError{mathfont}
  {Forbidden charm info contains #1}
  {One of the lines in your \string\CharmFile\space
  from line \the\inputlineno\MessageBreak
  contains the character #1, which will mess me up\MessageBreak
  if I try to read it, so I'm ignoring this line\MessageBreak
  from your file. To resolve this error, make sure\MessageBreak
  your charm information contains only integers,\MessageBreak
  floats, asterisks, commas, and spaces.^^J}}
\def\M@NoFontAdjustError#1{\PackageError{mathfont}
  {Your command \MessageBreak\string#1 is invalid\MessageBreak
  without Lua-based font adjustments}
  {You haven't enabled Lua-based font adjustments,\MessageBreak
  but the macro you called won't do anything without\MessageBreak
  them. I'm going to ignore your command for now. To\MessageBreak
  resolve this error, load mathfont with the package\MessageBreak
  option "adjust" or compile with LuaLaTeX.^^J}}
\def\M@BadIntegerError#1#2{\PackageError{mathfont}
  {Bad argument for\MessageBreak\string#1}
  {Your command was ignored. Please make sure\MessageBreak
  that your argument of \string#1\space\MessageBreak
  is a nonnegative integer. Right now it's\MessageBreak
  "#2".^^J}}
%    \end{macrocode}
% 
% \section{Default Settings}
% 
% We do not want \textsf{fontspec} making changes to mathematics. If the user has loaded the package, we set |\g__fontspec_math_bool| to false. Otherwise, we pass the |no-math| option to the package in case the user loads it later.
%    \begin{macrocode}
\@ifpackageloaded{fontspec}
  {\wlog{Package mathfont Info: Package fontspec detected.}
    \wlog{Package mathfont Info: Setting \string\g__fontspec_math_bool
      to false.}
    \csname bool_set_false:N\expandafter\endcsname
    \csname g__fontspec_math_bool\endcsname}
  {\wlog{Package mathfont Info: Package fontspec not detected.}
    \wlog{Package mathfont Info: Will pass no-math option to fontspec
      if it gets loaded.}
    \PassOptionsToPackage{no-math}{fontspec}}
%    \end{macrocode}
% We save four macros from the \LaTeX\ kernel so we can change their definitions. To adapt the symbol declaration macros for use with unicode fonts, we reverse the conversion to hexadecimal in |\count0| and change the |\math| primitive to |\Umath|. Whereas the traditional primitives accept hexadecimal input, |\Umath| primitives accept decimal input with a |+| sign.\indexpage{LaTeX kernel=\LaTeX\ kernel}
%    \begin{macrocode}
\let\@@set@mathchar\set@mathchar
\let\@@set@mathsymbol\set@mathsymbol
\let\@@set@mathaccent\set@mathaccent
\let\@@DeclareSymbolFont\DeclareSymbolFont
\@onlypreamble\@@set@mathchar
\@onlypreamble\@@set@mathsymbol
\@onlypreamble\@@set@mathaccent
\@onlypreamble\@@DeclareSymbolFont
\wlog{Package mathfont Info: Adapting \noexpand\set@mathchar for unicode.}
\wlog{Package mathfont Info: Adapting \noexpand\set@mathsymbol for unicode.}
\wlog{Package mathfont Info: Adapting \noexpand\set@mathaccent for unicode.}
\wlog{Package mathfont Info: Increasing upper bound on
  \noexpand\DeclareSymbolFont to 256.}
%    \end{macrocode}
% Kernel command to set math characters from keystrokes.
%    \begin{macrocode}
\def\set@mathchar#1#2#3#4{%
  \multiply\count\z@ by 16\relax
  \advance\count\z@\count\tw@
  \global\Umathcode`#2=\mathchar@type#3+#1+\count\z@\relax}
%    \end{macrocode}
% Kernel command to set math characters from control sequences.
%    \begin{macrocode}
\def\set@mathsymbol#1#2#3#4{%
  \multiply\count\z@ by 16\relax
  \advance\count\z@\count\tw@
  \global\Umathchardef#2=\mathchar@type#3+#1+\count\z@\relax}
%    \end{macrocode}
% Kernel command to set accents.
%    \begin{macrocode}
\def\set@mathaccent#1#2#3#4{%
  \multiply\count\z@ by 16\relax
  \advance\count\z@\count\tw@
  \protected\xdef#2{%
    \Umathaccent\mathchar@type#3+\number#1+\the\count\z@\relax}}
%    \end{macrocode}
% We increase the upper bound on the number of symbol fonts to be 256. Lua\TeX\ and \XeTeX\ allow up to 256 math families, but the \LaTeX\ kernel keeps the old upper bound of 16 symbol fonts under these two engines. We patch |\DeclareSymbolFont| to change the |\count18<15| to |\count18<\e@mathgroup@top|, where |\e@mathgroup@top| is the number of math families and is 256 in \XeTeX\ and Lua\TeX. Because macro patching is complicated, the next few lines may seem somewhat esoteric. Our approach is to get a sanitized definition with |\meaning| and |\strip@prefix|, implement the patch by expanding |\M@p@tch@decl@re|, and retokenize the whole thing. A simpler approach, such as calling |\M@p@tch@decl@re| directly on the expansion of |\DeclareSymbolFont|, won't work because of the way \TeX\ stores and expands parameter symbols inside macros.
% 
% As of November 2022, the \LaTeX\ kernel has redefined |\DeclareSymbolFont@m@dropped| to have the same definition as the old |\DeclareSymbolFont|, and now |\DeclareSymbolFont| is a wrapper around this macro. This was done for error checking purposes to remove extra |m|'s from certain \textsc{nfss} family names. This means that if |\DeclareSymbolFont@m@dropped| is defined, we should patch that macro, and otherwise, we should patch |\DeclareSymbolFont|.
%    \begin{macrocode}
\ifx\DeclareSymbolFont@m@dropped\@undefined
  \edef\@tempa{\expandafter\strip@prefix\meaning\DeclareSymbolFont}
  \def\@tempb{\def\DeclareSymbolFont##1##2##3##4##5}
\else
  \edef\@tempa{\expandafter\strip@prefix\meaning\DeclareSymbolFont@m@dropped}
  \def\@tempb{\def\DeclareSymbolFont@m@dropped##1##2##3##4##5}
\fi
\def\M@p@tch@decl@re#1<15#2\@nil{#1<\e@mathgroup@top#2}
\edef\M@DecSymDef{\expandafter\M@p@tch@decl@re\@tempa\@nil}
%    \end{macrocode}
% Now |\M@DecSymDef| contains the patched text of our new |\DeclareSymbolFont|, all with catcode 12. In order to make it useable, we have to retokenize it. We use |\scantextokens| in Lua\TeX\ and a safe version of |\scantokens| in \XeTeX. We store the |\def\DeclareSymbolFont| and parameter declaration in a separate macro |\@tempa| to make it easy to expand around them when we redefine |\DeclareSymbolFont|.
%    \begin{macrocode}
\ifdefined\directlua
  \expandafter\@tempb\expandafter{\scantextokens\expandafter{\M@DecSymDef}}
%    \end{macrocode}
% Unfortunately, while |\scantextokens| is straightforward, |\scantokens| is a menace. The problem is that when it expands, the primitive inserts an end-of-file token (because |\scantokens| mimics writing to a file and |\input|ing what it just wrote) after the retokenized code, and this is why |\scantokens| can produce an end-of-file error. The easiest way to make the command useable is to put a |\noexpand| before the end-of-file token with |\everyeof|, and at the same time, this needs to happen inside an |\edef| so that \TeX\ handles the |\noexpand| as it is first seeing the end-of-file token. In order to prevent the |\edef| from also expanding our retokenized definition of |\DeclareSymbolFont|, we put the definition inside an |\unexpanded|.
%    \begin{macrocode}
\else
  \begingroup
  \everyeof{\noexpand}
  \endlinechar\m@ne
%    \end{macrocode}
% The first |\edef| expands |\M@DecSymDef| and defines |\M@retokenize| to be |\scantokens|\penalty0|{|\penalty0|\unexpanded|\penalty0|{|\meta{new definition}|}}|, and the second |\edef| carries out the retokenization. Once we have stored the patched definition in |\M@retokenize|, we expand |\M@retokenize| after the |\endgroup| and redefine |\DeclareSymbolFont| by calling |\@tempa|.
%    \begin{macrocode}
  \edef\M@retokenize{\noexpand\scantokens{\noexpand\unexpanded{\M@DecSymDef}}}
  \edef\M@retokenize{\M@retokenize}
  \expandafter\endgroup
    \expandafter\@tempb\expandafter{\M@retokenize}
\fi
%    \end{macrocode}
% We need to keep track of the number of times we have loaded fonts, and |\M@count| fulfills this role. The |\M@toks| object will record a message that displays in the |log| file when the user calls |\mathfont|. The |\newread| is for Lua-based font adjustments.
%    \begin{macrocode}
\newbox\surdbox
\newcount\M@count
\newcount\M@rule@thickness@factor
\newcount\M@integral@italic@factor
\newcount\M@surd@vertical@factor
\newcount\M@surd@horizontal@factor
\newmuskip\radicandoffset
\newread\M@Charm
\newtoks\M@toks
\M@count\z@
\M@rule@thickness@factor\@m
\M@integral@italic@factor=400\relax
\M@surd@horizontal@factor\@m
\M@surd@vertical@factor\@m
\radicandoffset=3mu\relax
%    \end{macrocode}
% Necessary booleans and default math font shapes.
%    \begin{macrocode}
\newif\ifM@upper
\newif\ifM@lower
\newif\ifM@diacritics
\newif\ifM@greekupper
\newif\ifM@greeklower
\newif\ifM@agreekupper
\newif\ifM@agreeklower
\newif\ifM@cyrillicupper
\newif\ifM@cyrilliclower
\newif\ifM@hebrew
\newif\ifM@digits
\newif\ifM@operator
\newif\ifM@symbols
\newif\ifM@extsymbols
\newif\ifM@delimiters
\newif\ifM@radical
\newif\ifM@arrows
\newif\ifM@bigops
\newif\ifM@extbigops
\newif\ifM@bb
\newif\ifM@cal
\newif\ifM@frak
\newif\ifM@bcal
\newif\ifM@bfrak
\newif\if@optionpresent
\newif\if@suboptionpresent
\newif\ifM@arg@good
\newif\ifM@Decl@reF@mily
\newif\ifM@Decl@reF@milyB@se
\newif\ifM@fromCharmFile
%    \end{macrocode}
% Default shapes.
% \indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
%    \begin{macrocode}
\def\M@uppershape{italic} % latin upper
\def\M@lowershape{italic} % latin lower
\def\M@diacriticsshape{upright} % diacritics
\def\M@greekuppershape{upright} % greek upper
\def\M@greeklowershape{italic} % greek lower
\def\M@agreekuppershape{upright} % ancient greek upper
\def\M@agreeklowershape{italic} % ancient greek lower
\def\M@cyrillicuppershape{upright} % cyrillic upper
\def\M@cyrilliclowershape{italic} % cyrillic lower
\def\M@hebrewshape{upright} % hebrew
\def\M@digitsshape{upright} % numerals
\def\M@operatorshape{upright} % operator font
\def\M@delimitersshape{upright} % delimiters
\def\M@radicalshape{upright} % surd
\def\M@bigopsshape{upright} % big operators
\def\M@extbigopsshape{upright} % extended big operators
\def\M@symbolsshape{upright} % basic symbols
\def\M@extsymbolsshape{upright} % extended symbols
\def\M@arrowsshape{upright} % arrows
\def\M@bbshape{upright} % blackboard bold
\def\M@calshape{upright} % caligraphic
\def\M@frakshape{upright} % fraktur
\def\M@bcalshape{upright} % bold caligraphic
\def\M@bfrakshape{upright} % bold fraktur
%    \end{macrocode}
% The |\M@keys| list stores all the possible keyword options, and |\M@defaultkeys| stores the character classes that |\mathfont| acts on by default.
% \indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
%    \begin{macrocode}
\def\M@keys{upper,lower,diacritics,greekupper,%
  greeklower,agreekupper,agreeklower,cyrillicupper,%
  cyrilliclower,hebrew,digits,operator,delimiters,%
  radical,bigops,extbigops,symbols,extsymbols,arrows,%
  bb,cal,frak,bcal,bfrak}
\def\M@defaultkeys{upper,lower,diacritics,greekupper,%
  greeklower,digits,operator,symbols}
%    \end{macrocode}
%  If the user enabled Lua-based font adjustments, the |\M@defaultkeys| list also includes delimiters, surd, and big operator symbols.
%    \begin{macrocode}
\ifM@adjust@font
  \edef\M@defaultkeys{\M@defaultkeys,delimiters,radical,bigops}
\fi
%    \end{macrocode}
% Default OpenType features for loading fonts.
%    \begin{macrocode}
\def\M@otf@features{script=latin;language=DFLT;%
  tlig=true;liga=true;smcp=false;lnum=true}
\def\M@otf@features@sc{script=latin;language=DFLT;%
  tlig=true;liga=true;smcp=true;lnum=true}
%    \end{macrocode}
% 
% \section{Fontloader}
% 
% We come to the fontloader. The main font-loading macro is |\M@newfont|, and it is basically a wrapper around code we would expect to see in a typical |fd| file. Advanced users: please do not call |\M@newfont| directly because it may change without warning. Instead call |\mathfont| with the |empty| keyword and extract the \textsc{nfss} family name from |\M@f@ntn@me| or |\M@f@ntn@meb@se|. Our general approach is to feed the mandatory argument of |\mathfont| to |\M@newfont|, check if we have reason to believe that the font corresponds to a entry already in the \textsc{nfss}, and declare the font family and font shapes as necessary. If \textsf{fontspec} is loaded, we pass the entire argument to \textsf{fontspec}. If not, \textsf{mathfont} handles the font declaration internally. When \textsf{mathfont} declares a font family in the \textsc{nfss}, it does so twice, once using the information provided (which typically results in a font in node mode) and once using the information provided with |mode=base| (which results in a font in base mode). The first declaration uses the entire mandatory argument of |\mathfont| with spaces removed as the family name, and the second declaration uses this name with |-base| tacked onto the end. However the font gets loaded, we store the \textsc{nfss} family names in |\M@f@ntn@me| and |\M@f@nt@n@me@base|.
% 
% 
% We use |\M@split@colon| and |\M@strip@colon| for parsing the argument of |\mathfont|. If the user calls |\mathfont{|\meta{name}|:|\meta{features}|}|, we store the name in |\@tempbase| and the features in |\@tempfeatures|. If the user specifies a name only, then |\@tempfeatures| will be empty. Syntactically, we use |\M@strip@colon| to remove a final |:| the same way we removed a final |=| when we parsed the optional argument in the previous section.
% \?\@tempfeatures\?\@tempbase
%    \begin{macrocode}
\def\M@split@colon#1:#2\@nil{%
  \def\@tempbase{#1}
  \def\@tempfeatures{#2}}
\def\M@strip@colon#1:{#1}
%    \end{macrocode}
% The macro |\M@fill@nfss@shapes| accepts two arguments and does the actual work of ensuring that the \textsc{nfss} contains the appropriate series and shapes. The first argument should the name of a font family in the \textsc{nfss}, and the second should be a list of OpenType features. We check whether combinations of bold series and italic shape exist for that font in the \textsc{nfss}, and if not, we add them with |\DeclareFontShape|.
%    \begin{macrocode}
\def\M@fill@nfss@shapes#1#2{%
%    \end{macrocode}
% Upright shape.
%    \begin{macrocode}
  \ifcsname TU/#1/\mddefault/\shapedefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\mddefault}{\shapedefault}
      {<->"\@tempbase:\M@otf@features;#2"}{}
  \fi
%    \end{macrocode}
% Italic shape.
%    \begin{macrocode}
  \ifcsname TU/#1/\mddefault/\itdefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\mddefault}{\itdefault}
      {<->"\@tempbase/I:\M@otf@features;#2"}{}
  \fi
%    \end{macrocode}
% Bold series with upright shape.
%    \begin{macrocode}
  \ifcsname TU/#1/\bfdefault/\shapedefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\bfdefault}{\shapedefault}
      {<->"\@tempbase/B:\M@otf@features;#2"}{}
  \fi
%    \end{macrocode}
% Bold series with italic shape.
%    \begin{macrocode}
  \ifcsname TU/#1/\bfdefault/\itdefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\bfdefault}{\itdefault}
      {<->"\@tempbase/BI:\M@otf@features;#2"}{}
  \fi
%    \end{macrocode}
% Now do the same thing for the small caps variants. I make no promises that this will work. If a small caps font faces is separate from the main font file, \TeX\ won't be able to find it automatically. In that case, you will have to write your own |fd| file or |\DeclareFontShape| commands.
%    \begin{macrocode}
  \ifcsname TU/#1/\mddefault/\scdefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\mddefault}{\scdefault}
      {<->"\@tempbase:\M@otf@features@sc;#2"}{}
  \fi
  \ifcsname TU/#1/\mddefault/\scdefault\itdefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\mddefault}{\scdefault\itdefault}
      {<->"\@tempbase/I:\M@otf@features@sc;#2"}{}
  \fi
  \ifcsname TU/#1/\bfdefault/\scdefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\bfdefault}{\scdefault}
      {<->"\@tempbase/B:\M@otf@features@sc;#2"}{}
  \fi
  \ifcsname TU/#1/\bfdefault/\scdefault\itdefault\endcsname
  \else
    \DeclareFontShape{TU}{#1}{\bfdefault}{\scdefault\itdefault}
      {<->"\@tempbase/BI:\M@otf@features@sc;#2"}{}
  \fi}
%    \end{macrocode}
% The main font-loading macro. This macro takes a single argument, which should have the form \meta{font name}|:|\meta{optional features}, and \textsf{mathfont} handles the information in one of three ways if all goes well: interface with \textsf{fontspec}, possibly declare a few extra shapes for a font already in the \textsc{nfss}, or declare and load the whole font. At a minimum, \textsf{mathfont} ensures that we have access to medium upright, medium italic, bold upright, and bold italic fonts after calling |\M@newfont|. If \textsf{mathfont} decides to declare a font itself, it will also try to load small caps versions. We begin by splitting the argument into |\@tempbase| and |\@tempfeatures|.
%    \begin{macrocode}
\def\M@newfont#1{%
  \edef\@tempa{#1}
  \expandafter\M@split@colon\@tempa:\@nil
  \def\@tempb{fontspec}
%    \end{macrocode}
% If the argument is ``|fontspec|,'' we want to use the last font loaded by \textsf{fontspec}, which is stored in |\l_fontspec_family_tl|. If this macro is not empty, we store its contents in |\M@f@ntn@me| and skip loading entirely because \textsf{fontspec} already took care of it. We issue an error if |\l_fontspec_family_tl| is empty or if the user has not loaded \textsf{fontspec}. If we use \textsf{fontspec} to laod the font, we don't get a separate font in base mode.
%    \begin{macrocode}
  \ifx\@tempa\@tempb
    \@ifpackageloaded{fontspec}{%
      \expandafter\ifx\csname l_fontspec_family_tl\endcsname\@empty
        \M@NoFontspecFamilyError
      \else
        \expandafter
          \let\expandafter\M@f@ntn@me\csname l_fontspec_family_tl\encsname
        \def\@tempbase{\M@f@ntn@me\space(from fontspec)}
        \let\M@f@ntn@meb@se\M@f@ntn@me % no separate font in base mode
      \fi}{\M@NoFontspecError}
%    \end{macrocode}
% If the argument is something other than ``|fontspec|,'' we need to parse it. If the user loaded \textsf{fontspec}, we pass the entire argument to |\fontspec_set_family:Nnn| for loading and store the \textsc{nfss} family name in |\M@f@ntn@me|. For Lua\TeX, this is not recommended\textemdash\textsf{fontspec} is designed to work with text, not math, fonts and typically loads fonts in |node| mode, which makes their OpenType features unusable in math mode.
%    \begin{macrocode}
  \else
    \@ifpackageloaded{fontspec}
    {\csname fontspec_set_family:Nnn\endcsname\M@f@ntn@me{}{\@tempa}
      % no separate font in base mode
      \let\M@f@ntn@meb@se\M@f@ntn@me}
%    \end{macrocode}
% If the user has not loaded \textsf{fontspec}, we split the argument into a name and features using |\M@split@colon|. The name goes in |\@tempbase|, and the features go in |\@tempfeatures|. We store the OpenType features for loading in base mode inside |\@basefeatures|. If we are typesetting in Lua\TeX, |\@basefeatures| will be the same as |\@tempfeatures| except with |mode=base| at the end, and if we are using \XeTeX, it will be exactly the same.
%    \begin{macrocode}
    {\M@Decl@reF@milytrue
      \M@Decl@reF@milyB@setrue
      \ifx\@tempfeatures\@empty
        \ifdefined\directlua
          \edef\@basefeatures{mode=base}
        \else
          \let\@basefeatures\@tempfeatures
        \fi
      \else
        \edef\@tempfeatures{\expandafter\M@strip@colon\@tempfeatures}
        \ifdefined\directlua
          \edef\@basefeatures{\@tempfeatures;mode=base}
        \else
          \let\@basefeatures\@tempfeatures
        \fi
      \fi
%    \end{macrocode}
% We remove the spaces from |#1| and store it in |\@tempa| and from the human-readable font name contained in |#1| and store it in |\@tempb|. We check whether either already exists as a family name in the \textsc{nfss}, and if we do, we call |\M@fill@nfss@shapes| to ensure that we have declared all the shapes. In this case, we set |\ifM@Decl@reF@mily| to false and break out of the |\@tfor| loop.
%    \begin{macrocode}
      \edef@nospace\@tempa{\@tempa}
      \edef@nospace\@tempb{\@tempbase}
      \M@Decl@reF@milytrue
      \@tfor\@i:=\@tempa\@tempb\@tempbase\do{%
        \ifcsname TU+\@i\endcsname
          \expandafter\let\expandafter\M@f@ntn@me\@i
          \M@Decl@reF@milyfalse
          \M@fill@nfss@shapes\M@f@ntn@me\@tempfeatures
          \@break@tfor
        \fi}
%    \end{macrocode}
% If |\M@newfont| didn't find anything in the \textsc{nfss}, we need to load the font. The name for the font family will be |#1| with spaces removed, which we previously stored in |\@tempa|.
% \indexpage{log file=\texttt{log} file}
%    \begin{macrocode}
      \ifM@Decl@reF@mily
        \let\M@f@ntn@me\@tempa
        \wlog{Package mathfont Info: Adding \M@f@ntn@me\space to the nfss!}
        \DeclareFontFamily{TU}{\M@f@ntn@me}{}
%    \end{macrocode}
% Now load the four most common font faces with |\M@fill@nfss@shapes|.
%    \begin{macrocode}
        \M@fill@nfss@shapes\M@f@ntn@me\@tempfeatures
      \fi
%    \end{macrocode}
% At this point, there is an entry for the font in the \textsc{nfss}, and we stored the family name in |\M@f@ntn@me|. Now we check if the \textsc{nfss} contains a base-mode version with the family name ending in |-base|.
%    \begin{macrocode}
      \ifdefined\directlua
        \edef\M@f@ntn@meb@se{\M@f@ntn@me-base}
      \else
        \let\M@f@ntn@meb@se\M@f@ntn@me
      \fi
      \ifcsname TU+\M@f@ntn@meb@se\endcsname\else
        \wlog{Package mathfont Info: Adding \M@f@ntn@meb@se\space
          to the nfss!}
        \DeclareFontFamily{TU}{\M@f@ntn@meb@se}{}
      \fi
      \M@fill@nfss@shapes\M@f@ntn@meb@se\@basefeatures}
  \fi}
%    \end{macrocode}
% Finally, the font-loading commands should appear only in the preamble.
%    \begin{macrocode}
\@onlypreamble\M@fill@nfss@shapes
\@onlypreamble\M@newfont
%    \end{macrocode}
% At this point, the font information is stored in the \textsc{nfss}, but nothing has been loaded. For text fonts, that happens during a call to |\selectfont|, and for math fonts, that happens the first time entering math mode. I've played with the idea of forcing some fonts to load now, but I'm hesitant to change \LaTeX's standard font-loading behavior. I may address this issue further in future versions of \textsf{mathfont}.
% 
% 
% 
% \section{Parse Input}
% 
% This section provides the macros to parse the optional argument of |\mathfont|. We have two parts to this section: error checking and parsing. For parsing, we extract option and suboption information, and for error checking, we make sure that both are valid. The command |\M@check@option@valid| accepts a macro containing (what is hopefully) the text of a keyword-option. The macro defines |\@temperror| to be an invalid option error and loops through all possible options. If the argument matches one of the correct possibilities, \textsf{mathfont} changes |\@temperror| to |\relax|. The macro ends by calling |\@temperror| and issuing an error if and only if the argument is invalid. If |\M@check@option@valid| finds a valid keyword-option, it changes |\if@optionpresent| to true.\indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
%    \begin{macrocode}
\def\M@check@option@valid#1{%
  \let\@temperror\M@InvalidOptionError % error by default
  \@for\@j:=\M@keys\do{%
    \ifx\@j#1
      \let\@temperror\@gobble % eliminate error
      \@optionpresenttrue % set switch to true
    \fi}
  \def\@j{empty} % if option is "empty," we do nothing
  \ifx\@j#1
    \let\@temperror\@gobble
    \@optionpresentfalse
  \fi
  \@temperror{#1}}
%    \end{macrocode}
% Do the same thing for the suboption.
% \indexpage{suboption roman=suboption \texttt{roman}}%
% \indexpage{suboption upright=suboption \texttt{upright}}%
% \indexpage{suboption italic=suboption \texttt{italic}}%
%    \begin{macrocode}
\def\M@check@suboption@valid#1{%
  \let\@temperror\M@InvalidSuboptionError % error by default
  \@for\@j:=roman,upright,italic\do{%
    \ifx\@j#1
      \let\@temperror\@gobble % eliminate error
      \@suboptionpresenttrue % set switch to true
    \fi}
  \@temperror{#1}}
%    \end{macrocode}
% Now we have to actually parse the optional argument. We want to allow the user to specify options using an \textsf{xkeyval}-type syntax. However, we do not need the full package; a slim 30 lines of code will suffice. When |\mathfont| reads one segment of \textit{text} from its optional argument, it calls |\M@parse@option|\meta{text}|=\@nil|. The |\M@parse@option| macro splits the option and suboption by looking for the first |=|. It puts its |#1| argument (hopefully the keyword-option) in |\@temp@opt| and puts |#2| (hopefully the keyword-suboption) in |\@temp@sub|. If the user specifies a suboption, |\@tempb| contains \meta{suboption}|=|, and we use |\M@strip@equals| to get rid of the extra |=|. If the user does not specify a suboption, |\@tempb| will be empty.
% \indexpage{parse mathfont arguments=parse \texttt{\char`\\mathfont} arguments}
%   \begin{macrocode}
\def\M@strip@equals#1={#1}
\def\M@parse@option#1=#2\@nil{%
  \@optionpresentfalse % set switch to false by default
  \@suboptionpresentfalse % set switch to false by default
  \def\@temp@opt{#1} % store option
  \def\@temp@sub{#2} % store suboption
%    \end{macrocode}
% After storing the option in |\@temp@opt| and suboption in |\@temp@sub|, check for errors. We check for errors by determining if (1) |\@tempa| is empty, meaning the user did not specify an option; or (2) |@tempb| is |=|, meaning the user typed |=| but did not follow it with a suboption.
%    \begin{macrocode}
  \ifx\@temp@opt\@empty
    \M@MissingOptionError
  \else
%    \end{macrocode}
% Check that the user specified a valid option. We redefine |\@tempa| inside a group to keep the change local, and we end the group as quickly as possible after the comparison, which means separate |\egroup|s in both branches of |\ifx|.
%    \begin{macrocode}
    \M@check@option@valid\@temp@opt
    \bgroup\def\@tempa{=}
    \ifx\@temp@sub\@tempa
      \egroup % first branch \egroup
      \M@MissingSuboptionError
    \else
      \egroup % second branch \egroup
%    \end{macrocode}
% If |\@temp@sub| is nonempty, strip the final |=| and check that it contains a valid suboption.
%    \begin{macrocode} 
      \ifx\@temp@sub\@empty
      \else
        \edef\@temp@sub{\expandafter\M@strip@equals\@temp@sub}
        \M@check@suboption@valid\@temp@sub % check that suboption is valid
      \fi
    \fi
%    \end{macrocode}
% If the user specified suboption |roman|, we accept it for backwards compatibility and convert it to |upright|. Again, we redefine |\@tempa| inside a group to keep the change local.
%    \begin{macrocode}
    \bgroup\def\@tempa{roman}
    \ifx\@temp@sub\@tempa
      \egroup % first branch \egroup
      \def\@temp@sub{upright}
    \else
      \egroup % second branch \egroup
    \fi
  \fi}
%    \end{macrocode}
% We code a general-purpose definition macro that defines its first argument to be the second argument fully expanded and with spaces removed.
%    \begin{macrocode}
\long\def\edef@nospace#1#2{%
  \edef#1{#2}%
  \edef#1{\expandafter\zap@space#1 \@empty}}
%    \end{macrocode}
% Perhaps something that sets spaces to |\catcode9| and then retokenizes |#2| would be better, but I don't think it matters very much.
% 
% 
% \section{Default Font Changes}
% 
% This section documents default math font changes. The user-level font-changing command is |\mathfont|, and it feeds the font information to |\@mathfont|, the internal command that does the actual font changing. This macro is basically a wrapper around |\DeclareSymbolFont| and a bunch of calls to |\DeclareMathSymbol|, and when the user calls |\@mathfont|, the command declares the user's font in the \textsc{nfss} with |\M@newfont| and loops through the optional argument. On each iteration, |\@mathfont| validates the option and suboption, calls |\DeclareSymbolFont| if necessary, and sets the math codes with |\M@|\meta{keyword}|@set|. 
% \indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
%    \begin{macrocode}
\protected\def\mathfont{\@ifnextchar[{\@mathfont}{\@mathfont[\M@defaultkeys]}}
%    \end{macrocode}
% The internal font-changing command.
%    \begin{macrocode}
\def\@mathfont[#1]#2{%
  \ifx\set@mathchar\@@set@mathchar
    \M@InternalsRestoredError
%    \end{macrocode}
% If the kernel commands have not been reset, we can do fun stuff. As of version 2.0, I'm removing the documentation for |\restoremathinternals| in the user guide, but the code will stay in for backwards compatibility.
%    \begin{macrocode}
  \else
    \M@toks{}
%    \end{macrocode}
% We immediately call |\M@newfont| on the mandatory argument of |\mathfont|. We store the \textsc{nfss} family name in |\M@fontfamily@|\meta{argument} and |M@fontfamily@base@|\meta{argument}. If we need a new value of |\M@count|, we store it in |\M@fontid@|\meta{\textsc{nfss} family name}. We will not need a new value of |\M@count| if the user asks for the same \textsc{nfss} font family twice. Throughout the definition of |\mathfont|, |\@tempa| stores the value of |\M@count| that corresponds to the current font.
% \indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
%    \begin{macrocode}
    \M@newfont{#2}
    \expandafter\edef\csname M@fontfamily@#2\endcsname{\M@f@ntn@me}
    \expandafter\edef\csname M@fontfamily@base@#2\endcsname{\M@f@ntn@meb@se}
    \ifcsname M@fontid@\M@f@ntn@me\endcsname\else % need new \M@count value?
      \expandafter\edef\csname M@fontid@\M@f@ntn@me\endcsname{\the\M@count}
      \expandafter\let\csname M@fontid@\M@f@ntn@meb@se\expandafter\endcsname
        \csname M@fontid@\M@f@ntn@me\endcsname
      \advance\M@count\@ne
    \fi
    \edef\@tempa{\csname M@fontid@\M@f@ntn@me\endcsname}
%    \end{macrocode}
% Expand, zap spaces from, and store the optional argument in |\@tempa|, and then perform the loop. We store the current keyword-suboption pair in |\@i| and then feed it to |\M@parse@option|. We need two |\edef|s here because |\zap@space| appears before |\@tempa| in |\M@eat@spaces|. We expand the argument with the first |\edef| and remove the spaces with the second.
%    \begin{macrocode}
    \edef@nospace\@tempb{#1}
    \@for\@i:=\@tempb\do{\expandafter\M@parse@option\@i=\@nil
      \if@optionpresent
%    \end{macrocode}
% If the user calls |\mathfont| and tries multiple times to set the font for a certain class of characters, \textsf{mathfont} will issue a warning,  and the package will not adjust the font for those characters. Notice the particularly awkward syntax with the |\csname|-|\endcsname| pairs. Without this construct, \TeX\ won't realize that |\csname if@\@tempa\endcsname| matches the eventual |\fi|, and the |\@for| loop will break. (\TeX\ does not have a smart if-parser!)
% \indexpage{I already set the font}
% \indexpage{if-parser}
% \indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
%    \begin{macrocode}
        \expandafter\ifx % next line is two cs to be compared
          \csname ifM@\@temp@opt\expandafter\endcsname\csname iftrue\endcsname
          \M@CharsSetWarning{\@temp@opt}
        \else
%    \end{macrocode}
% The case where the current option has not had its math font set. We add the keyword-option to the |\toks|.
%    \begin{macrocode}
          \edef\@tempc{\the\M@toks^^J\@temp@opt}
          \M@toks\expandafter{\@tempc}
%    \end{macrocode}
% If it's present, store the suboption in |\@|\meta{option}|shape| and overwrite the default definition from earlier. Then add the shape information to the toks and store it in |\@tempc|. When it actually sets the font by calling |\M@|\meta{keyword}|@set|, \textsf{mathfont} will determine shape information for the current character class by calling the same |\@|\meta{option}|shape| macro that we store in |\@tempc|.
%    \begin{macrocode}
          \if@suboptionpresent
            \expandafter\edef\csname M@\@temp@opt shape\endcsname{\@temp@sub}
          \fi
          \edef\@tempc{\the\M@toks\space
            (\csname M@\@temp@opt shape\endcsname)}
          \M@toks\expandafter{\@tempc}
          \edef\@tempc{\csname M@\@temp@opt shape\endcsname}
%    \end{macrocode}
% \indexpage{suboption roman=suboption \texttt{roman}}
% \indexpage{suboption italic=suboption \texttt{italic}}
% We store the font shape information in |\@tempb|, specifically |\@tempb| will be the default \textsc{nfss} shape code corresponding to the current suboption. At this point, |\@tempc| is either ``upright'' or ``italic,'' so we temporarily let |\@tempb| be the string ``upright'' and check if it equals |\@tempc|. We redefine |\@tempb| depending on the results.
%    \begin{macrocode}
          \def\@tempb{upright}
          \ifx\@tempb\@tempc
            \let\@tempb\shapedefault
          \else
            \let\@tempb\itdefault
          \fi
%    \end{macrocode}
% At this point we have the information we need to declare the symbol font: the \textsc{nfss} family (|\M@f@ntn@me|), series (|\mddefault|), and shape (|\@tempb|) information. The symbol font name will be |M|\meta{suboption}\meta{value of {\fontshape\shapedefault\fontfamily\ttdefault\selectfont\string\M@count}}. We check if the symbol font we need for the current set of characters is defined, and if not, we define it using this information.
%    \begin{macrocode}
          \ifcsname symM\@tempc\@tempa\endcsname\else
            \M@SymbolFontInfo{\@tempbase}{\M@f@ntn@meb@se}
              {\mddefault/\@tempb}{M\@tempc\@tempa}
            \DeclareSymbolFont
              {M\@tempc\@tempa}{TU}{\M@f@ntn@meb@se}{\mddefault}{\@tempb}
          \fi
%    \end{macrocode}
% We store the new font information so we can write it to the |log| file |\AtBeginDocument| and send an informational message to the user.\indexpage{log file=\texttt{log} file}
%    \begin{macrocode}
          \expandafter
            \edef\csname M@\@temp@opt @fontinfo\endcsname{\@tempbase}
          \M@FontChangeInfo{\@temp@opt}{\@tempbase}
%    \end{macrocode}
% And now the magic happens!
% \indexpage{keyword options=keyword options for \texttt{\char`\\mathfont}}
% \?\M@upper@set
% \?\M@lower@set
% \?\M@diacritics@set
% \?\M@greekupper@set
% \?\M@greeklower@set
% \?\M@agreekupper@set
% \?\M@agreeklower@set
% \?\M@cyrillicupper@set
% \?\M@cyrilliclower@set
% \?\M@hebrew@set
% \?\M@digits@set
% \?\M@operator@set
% \?\M@delimiters@set
% \?\M@radical@set
% \?\M@bigops@set
% \?\M@extbigops@set
% \?\M@symbols@set
% \?\M@extsymbols@set
% \?\M@arrows@set
% \?\M@bb@set
% \?\M@cal@set
% \?\M@frak@set
% \?\M@bcal@set
% \?\M@bfrak@set
%    \begin{macrocode}
          \csname M@\@temp@opt @set\endcsname % set default font
          \csname M@\@temp@opt true\endcsname % set switch to true
        \fi
      \fi}
%    \end{macrocode}
% Display concluding messages for the user.
% \indexpage{log file=\texttt{log} file}
% \indexpage{terminal}
%    \begin{macrocode}
    \edef\@tempa{\the\M@toks}
    \ifx\@tempa\@empty
      \wlog{The \string\mathfont\space command on line \the\inputlineno\space
        did not change the font for any characters!}
    \else
      \wlog{}
      \typeout{:: mathfont :: Using font \@tempbase\space
        on line \the\inputlineno.}
      \wlog{Character classes changed:\the\M@toks}
    \fi
  \fi}
\@onlypreamble\mathfont
\@onlypreamble\m@thf@nt
\@onlypreamble\@mathfont
%    \end{macrocode}
% The |\setfont| command will call |\mathfont| and set the text font.
%    \begin{macrocode}
\protected\def\setfont#1{%
  \mathfont{#1}
  \mathconstantsfont{#1}
  \setmathfontcommands{#1}
  \let\rmdefault\M@f@ntn@me}
\@onlypreamble\setfont
%    \end{macrocode}
% The macro |\mathconstantsfont| handles choosing the font for setting math parameters in Lua\TeX. It issues a warning if called in \XeTeX. First, it checks if the argument was previously fed to |\mathfont| by seeing whether |\M@fontfamily@|\meta{|\string#1|} is equal to |\relax|. If yes, |#1| was never an argument of |\mathfont|, and we raise an error.
%    \begin{macrocode}
\ifdefined\directlua
  \let\M@SetMathConstants\relax
  \protected\def\mathconstantsfont{\@ifnextchar[{\@mathconstantsfont}
      {\@mathconstantsfont[upright]}}
  \def\@mathconstantsfont[#1]#2{%
    \edef\@tempa{\csname M@fontfamily@base@#2\endcsname}
    \expandafter\ifx\@tempa\relax
      \M@BadMathConstantsFontError{#2}
    \else
%    \end{macrocode}
% Some error checking. If |#1| isn't ``upright'' or ``italic,'' we should raise an error. If the |\@tempa| font doesn't correspond to a symbol font, we declare it. Before defining |\M@SetMathConstants| if necessary, we store the \textsc{nfss} family name in |\m@th@const@nts@font|.
%    \begin{macrocode}
      \def\@tempb{#1}
      \def\@tempc{upright}
      \ifx\@tempb\@tempc
        \let\@tempc\shapedefault
      \else
        \def\@tempc{italic}
        \ifx\@tempb\@tempc
          \let\@tempc\itdefault
        \else
          \M@BadMathConstantsFontTypeError{#1}
        \fi
      \fi
      \ifcsname symM#1\csname M@fontid@\@tempa\endcsname\endcsname\else
        \DeclareSymbolFont{M#1\csname M@fontid@\@tempa\endcsname}
          {TU}{\@tempa}{\mddefault}{\@tempc}
      \fi
      \let\m@th@const@nts@font\@tempa
%    \end{macrocode}
% We come to the tricky problem of making sure to use the correct MathConstants table. Lua\TeX\ automatically initializes all math parameters based on the most recent |\textfont|, etc.\ assignment, so we want to tell \LaTeX\ to reassign whatever default font we're using to the correct math family whenever we load new math fonts. This is possible, but the implementation is super hacky. When \LaTeX\ enters math mode, it checks whether it needs to redo any math family assignments, typically because of a change in font size, and if so, it calls |\getanddefine@fonts| repeatedly to append |\textfont|, etc.\ assignments onto the macro |\math@fonts|. Usually |\math@fonts| is empty because this process always happens inside a group, so we can hook into the code by defining |\math@font| to be |\aftergroup|\meta{extra code}. In this case, the \textit{extra code} will be another call to |\getanddefine@fonts|.
% 
% We initialize |\M@SetMathConstants| to be |\relax|, so we define it the first time the user calls |\mathconstantsfont|. The command calls |\getanddefine@fonts| inside a group and uses as arguments the upright face of the font corresponding to |#1|. Then we call |\math@fonts|, and to avoid an infinite loop, we gobble the |\aftergroup||\M@SetMathConstants| macros that \textsf{mathfont} has inserted at the start of |\math@fonts|. Setting |\globaldefs| to 1 makes the |\textfont|, etc.\ assignments from |\getanddefine@fonts| global when we call |\math@fonts|.\indexpage{LaTeX kernel=\LaTeX\ kernel}^^A
%    \begin{macrocode}
      \protected\def\M@SetMathConstants{%
        \begingroup
        \escapechar\m@ne
        \expandafter\getanddefine@fonts
          \csname symM#1\csname M@fontid@\m@th@const@nts@font\endcsname
            \expandafter
          \endcsname % expands to \symMupright<id>
          \csname TU/\m@th@const@nts@font/\seriesdefault/\@tempc
            \endcsname % expands to \TU/<nfss family name>/m/<shape>
        \globaldefs\@ne
        \expandafter\@gobbletwo\math@fonts % gobble to avoid infinite loop
        \endgroup}
      \fi}
  \def\math@fonts{\aftergroup\M@SetMathConstants}
\else
  \protected\def\mathconstantsfont{\M@LuaTeXOnlyWarning
    \@ifnextchar[\@gobbletwo@brackets\@gobble}
\fi
\@onlypreamble\mathconstantsfont
%    \end{macrocode}
% If the user has not enabled Lua font adjustments, then |\mathconstantsfont| will generate an error message and gobble its argument. This definition happens later in |mathfont.sty| when we define other Lua-related macros such as |\IntegralItalicFactor| to do the same thing absent font adjustments.
% 
% 
% 
% \section{Local Font Changes}\indexpage{local font changes}
% 
% This section deals with local font changes. The |\newmathfontcommand| creates macros that change the font for math alphabet characters and is basically a wrapper around |\DeclareMathAlphabet|. First we code |\M@check@csarg|, which accepts two arguments. The |#1| argument is the user-level command that called |\M@check@csarg|, which we use for error messaging, and |#2| should be a single control sequence. The way |\M@check@csarg| scans the following tokens is a bit tricky: (1) check the length of the argument using |\M@check@arglength|; and (2) check that the argument is a control sequence. If the user specifies an argument of the form |{..}|, i.e.\ extra text inside braces, the |\ifcat| will catch it and issue an error. If |\M@check@csarg| likes the input, it sets |\ifM@good@arg| to true, and otherwise, it sets |\ifM@arg@good| to false.
%    \begin{macrocode}
\def\M@check@csarg#1#2{%
  \expandafter\ifx\expandafter\@nnil\@gobble#2\@nnil % good
    \ifcat\relax\noexpand#2 % good
      \M@arg@goodtrue
    \else % if #2 not a control sequence
      \M@MissingControlSequenceError#1{#2}
      \M@arg@goodfalse
    \fi
  \else % if #2 is multiple tokens
    \M@DoubleArgError#1{#2}
    \M@arg@goodfalse
  \fi}
%    \end{macrocode}
% Now declare the math alphabet. This macro first checks that its |#1| argument is a control sequence using |\M@check@csarg|. If yes, we feed the |#2| argument to |\M@newfont| for loading, print a message in the |log| file, and call |\DeclareMathAlphabet|.
%    \begin{macrocode}
\protected\def\newmathfontcommand#1#2#3#4{%
  \M@check@csarg\newmathfontcommand{#1}
  \ifM@arg@good
    \M@newfont{#2}
    \M@NewFontCommandInfo{#1}{\@tempbase}{\M@f@ntn@meb@se}{#3}{#4}
    \DeclareMathAlphabet{#1}{TU}{\M@f@ntn@meb@se}{#3}{#4}
  \fi}
\@onlypreamble\newmathfontcommand
%    \end{macrocode}
% Then define macros that create local font-changing commands with default series and shape information. Because they're all so similar, we metacode them. We define the commands themselves with |\define@newmath@cmd|. The argument structure is: |#1|---|\newmath|\meta{key} macro name; |#2|---font series; |#3|---font shape; |##1|---the control sequence that the user will specify; and |##2|---the user's font information. We feed |##1|, |##2|, |#2|, and |#3| to |\newmathfontcommand|, and we load |##2| with |\M@newfont|. Each |\newmath|\meta{key} macro will check its first argument using |\M@check@csarg| and then call |\newmathfontcommand| on both of its two arguments. We store the list of |\newmath|\meta{key} commands that we want to define with their series and shape information in |\M@default@newmath@cmds|, and we loop through it with |\@for|.
%    \begin{macrocode}
\def\M@define@newmath@cmd#1#2#3{%
  \protected\def#1##1##2{%
    \M@check@csarg{#1}{##1}
    \newmathfontcommand{##1}{##2}{#2}{#3}}}
\def\M@default@newmath@cmds{%
  \newmathrm{\mddefault}{\shapedefault},%
  \newmathit{\mddefault}{\itdefault},%
  \newmathbf{\bfdefault}{\shapedefault},%
  \newmathbfit{\bfdefault}{\itdefault},%
  \newmathsc{\mddefault}{\scdefault},%
  \newmathscit{\mddefault}{\scdefault\itdefault},%
  \newmathbfsc{\bfdefault}{\scdefault},%
  \newmathbfscit{\bfdefault}{\scdefault\itdefault}}
\@for\@i:=\M@default@newmath@cmds\do{\expandafter\M@define@newmath@cmd\@i}
\@onlypreamble\newmathrm
\@onlypreamble\newmathit
\@onlypreamble\newmathbf
\@onlypreamble\newmathbfit
\@onlypreamble\newmathsc
\@onlypreamble\newmathscit
\@onlypreamble\newmathbfsc
\@onlypreamble\newmathbfscit
\@onlypreamble\M@define@newmath@cmd
\let\M@default@newmath@cmds\relax
%    \end{macrocode}
% The command |\setmathfontcommands| sets all the default local font-change commands at once.
%    \begin{macrocode}
\protected\def\setmathfontcommands#1{%
  \newmathrm\mathrm{#1}
  \newmathit\mathit{#1}
  \newmathbf\mathbf{#1}
  \newmathbfit\mathbfit{#1}
  \newmathsc\mathsc{#1}
  \newmathscit\mathscit{#1}
  \newmathbfsc\mathbfsc{#1}
  \newmathbfscit\mathbfscit{#1}}
\@onlypreamble\setmathfontcommands
%    \end{macrocode}
% We provide |\newmathbold| and |\newmathboldit| for backwards compatibility but issue a warning.
%    \begin{macrocode}
\protected\def\newmathbold{%
  \M@DeprecatedWarning\newmathbold\newmathbf\newmathbf}
\protected\def\newmathboldit{%
  \M@DeprecatedWarning\newmathboldit\newmathbfit\newmathbfit}
%    \end{macrocode}
% 
% \section{Miscellaneous Material}
% 
% 
% 
% We begin this section with the user-level macros that provide information for Lua-based font adjustments. If font adjustments are allowed, we begin with a macro |\M@check@int| that passes the user's argument to Lua and determines whether it is an integer. We check whether the argument contains a backslash or quote mark similar to error checking later in |\CharmLine|. Depending on the result, \textsf{mathfont} sets |\ifM@arg@good| to true or false.
%    \begin{macrocode}
\ifM@adjust@font
  \def\M@check@int#1{%
  \M@arg@goodfalse
  \begingroup
  \edef\@tempa{\number0#1}
  \edef\@tempa{\detokenize\expandafter{\@tempa}}
  \@expandtwoargs\in@{"}{\@tempa}
%    \end{macrocode}
% If |#1| contains a |"| or backslash, we set |\M@arg@good| to false and stop parsing the argument.
%    \begin{macrocode}
  \ifin@ % is " in #1?
    \endgroup % first branch \endgroup
  \else
    \@expandtwoargs\in@{\@backslashchar}{\@tempa}
    \ifin@ % is backslash in #1?
      \endgroup % second branch \endgroup
    \else
      \directlua{
      local num = tonumber("\@tempa")
      if num then % if number?
        if num == num - (num \@percentchar 1) then % if integer?
          if num >= 0 then % if nonnegative?
            tex.print("\@backslashchar\@backslashchar endgroup%
              \@backslashchar\@backslashchar M@arg@goodtrue")
          end
        end
      end}
    \fi
  \fi}
%    \end{macrocode}
% Define |\RuleThicknessFactor|.
%    \begin{macrocode}
  \protected\def\RuleThicknessFactor#1{%
    \M@check@int{#1}
    \ifM@arg@good
      \global\M@rule@thickness@factor=#1\relax
    \else
      \M@BadIntegerError\RuleThicknessFactor{#1}
    \fi}
%    \end{macrocode}
% Define |\IntegralItalicFactor|.
%    \begin{macrocode}
  \protected\def\IntegralItalicFactor#1{%
    \M@check@int{#1}
    \ifM@arg@good
      \global\M@integral@italic@factor=#1\relax
    \else
      \M@BadIntegerError\IntegralItalicFactor{#1}
    \fi}
%    \end{macrocode}
% Define |\SurdHorizontalFactor|.
%    \begin{macrocode}
  \protected\def\SurdHorizontalFactor#1{%
    \M@check@int{#1}
    \ifM@arg@good
      \global\M@surd@horizontal@factor=#1\relax
    \else
      \M@BadIntegerError\SurdHorizontalFactor{#1}
    \fi}
%    \end{macrocode}
% Define |\SurdVerticalFactor|.
%    \begin{macrocode}
  \protected\def\SurdVerticalFactor#1{%
    \M@check@int{#1}
    \ifM@arg@good
      \global\M@surd@vertical@factor=#1\relax
    \else
      \M@BadIntegerError\SurdVerticalFactor{#1}
    \fi}
%    \end{macrocode}
% If automatic font adjustments are disabled, we should also disable the related user-level commands. In this case, each of the font-adjustment macros expands to raise an |\M@NoFontAdjustError| and gobble its argument.
%    \begin{macrocode}
\else
  \@tfor\@i:=\RuleThicknessFactor\IntegralItalicFactor\SurdHorizontalFactor
    \SurdVerticalFactor\CharmLine\CharmFile
      \do{%
        \protected\expandafter\edef\@i{\noexpand\M@NoFontAdjustError
          \expandafter\noexpand\@i
          \noexpand\@gobble}}
\fi
%    \end{macrocode}
% These commands should appear in the preamble only.
%    \begin{macrocode}
\@onlypreamble\RuleThicknessFactor
\@onlypreamble\IntegralItalicFactor
\@onlypreamble\SurdHorizontalFactor
\@onlypreamble\SurdVerticalFactor
\@onlypreamble\CharmLine
\@onlypreamble\CharmFile
%    \end{macrocode}
% Provide the command to reset the kernel. I am not sure that we need this macro, but it will stay in the package for backwards compatibility.
% \indexpage{Internal commands restored}
%    \begin{macrocode}
\def\restoremathinternals{%
  \ifx\set@mathchar\@@set@mathchar
  \else
    \wlog{Package mathfont Info: Restoring \string\set@mathchar.}
    \wlog{Package mathfont Info: Restoring \string\set@mathsymbol.}
    \wlog{Package mathfont Info: Restoring \string\set@mathaccent.}
    \wlog{Package mathfont Info: Restoring \string\DeclareSymbolFont.}
    \let\set@mathchar\@@set@mathchar
    \let\set@mathsymbol\@@set@mathsymbol
    \let\set@mathaccent\@@set@mathaccent
    \let\DeclareSymbolFont\@@DeclareSymbolFont
  \fi}
%    \end{macrocode}
% Three macros used in defining |\simeq| and |\cong|. The construction is clunky and needs the intermediate macro |\st@ck@fl@trel| because |\mathchoice| is a bit of an odd macro. Instead of expanding to different replacement text depending on the math style, it fully typesets each of its four arguments and then takes the one corresponding to the correct style. A cleaner implementation would use |\mathstyle| from Lua\TeX---perhaps in a future version. 
%    \begin{macrocode}
  \protected\gdef\clap#1{\hb@xt@\z@{\hss#1\hss}}
  \protected\def\stack@flatrel#1#2{\expandafter
    \st@ck@fl@trel\expandafter#1\@firstofone#2}
  \protected\gdef\st@ck@fl@trel#1#2#3{%
    {\setbox0\hbox{$\m@th#1#2$}% contains \mathrel symbol
    \setbox1\hbox{$\m@th#1#3$}% gets raised over \box0
    \if\wd0>\wd1\relax
      \hb@xt@\wd0{%
        \hfil
        \clap{\raise0.7\ht0\box1}%
        \clap{\box0}\hfil}%
    \else
      \hb@xt@\wd1{%
        \hfil
        \clap{\raise0.7\ht0\box1}%
        \clap{\box0}\hfil}%
    \fi}}
%    \end{macrocode}
% Some fonts do not contain characters that \textsf{mathfont} can declare as math symbols. We want to make sure that if this happens, \TeX\ prints a message in the |log| file and terminal.\indexpage{log file=\texttt{log} file}\indexpage{terminal}
%    \begin{macrocode}
\ifnum\tracinglostchars<\tw@
  \tracinglostchars\tw@
\fi
%    \end{macrocode}
% Warn the user about possible problems with a multi-word optional package argument in \XeTeX.
%    \begin{macrocode}
\ifdefined\XeTeXrevision
  \ifM@font@loaded
    \AtEndOfPackage{%
    \PackageWarningNoLine{mathfont}
    {XeTeX detected. It looks like you\MessageBreak
    specified a font when you loaded\MessageBreak
    mathfont. If you run into problems\MessageBreak
    with a font whose name is multiple\MessageBreak
    words, try compiling with LuaLaTeX\MessageBreak
    or call \string\setfont\space or \string\mathfont\MessageBreak
    manually}}
  \fi
\fi
%    \end{macrocode}
% Write to the |log| file |\AtBeginDocument| all font changes carried out by \textsf{mathfont}. The command |\keyword@info@begindocument| accepts two arguments and is what acutally prints the informational message after the preamble. One argument is a keyword-argument from |\mathfont|, and the other is a number of spaces. The spaces make the messages line up with each other in the log file.\indexpage{log file=\texttt{log} file}
%    \begin{macrocode}
\def\keyword@info@begindocument#1:#2\@nil{%
  \expandafter\ifx % next line is two cs to be compared
        \csname ifM@#1\expandafter\endcsname\csname iftrue\endcsname
    \wlog{#1:#2\@spaces Set to
      \csname M@#1@fontinfo\endcsname,
      \csname M@#1shape\endcsname\space shape.}
  \else
    \wlog{#1:#2\@spaces No change.}
  \fi}
%    \end{macrocode}
% Now print the messages.
%    \begin{macrocode}
\AtBeginDocument{%
  \def\@tempa{%    <-- everything should be 14 characters long
    upper:\@spaces\@spaces,%
    lower:\@spaces\@spaces,%
    diacritics:\space\space\space,%
    greekupper:\space\space\space,%
    greeklower:\space\space\space,%
    agreekupper:\space\space,%
    agreeklower:\space\space,%
    cyrillicupper:,%
    cyrilliclower:,%
    hebrew:\@spaces\space\space\space,%
    digits:\@spaces\space\space\space,%
    operator:\@spaces\space,%
    delimiters:\space\space\space,%
    radical:\@spaces\space\space,%
    bigops:\@spaces\space\space\space,%
    extbigops:\@spaces,%
    symbols:\@spaces\space\space,%
    extsymbols:\space\space\space,%
    arrows:\@spaces\space\space\space,%
    bb:\@spaces\@spaces\space\space\space,%
    cal:\@spaces\@spaces\space\space,%
    frak:\@spaces\@spaces\space,%
    bcal:\@spaces\@spaces\space,%
    bfrak:\@spaces\@spaces}
  \wlog{^^JPackage mathfont Info: List of changes made in the preamble.}
  \@for\@i:=\@tempa\do{%
    \expandafter\keyword@info@begindocument\@i\@nil}
  \wlog{}}
%    \end{macrocode}
% If the user passed a font name to \textsf{mathfont}, we set it as the default |\AtEndOfPackage|.
%    \begin{macrocode}
\ifM@font@loaded
  \AtEndOfPackage{\setfont\M@font@load}
\fi
%    \end{macrocode}
% Finally, make all character-setting commands inaccessible outside the preamble.
%    \begin{macrocode}
\@onlypreamble\M@upper@set
\@onlypreamble\M@lower@set
\@onlypreamble\M@diacritics@set
\@onlypreamble\M@greekupper@set
\@onlypreamble\M@greeklower@set
\@onlypreamble\M@agreekupper@set
\@onlypreamble\M@agreeklower@set
\@onlypreamble\M@cyrillicupper@set
\@onlypreamble\M@cyrilliclower@set
\@onlypreamble\M@hebrew@set
\@onlypreamble\M@digits@set
\@onlypreamble\M@operator@set
\@onlypreamble\M@symbols@set
\@onlypreamble\M@extsymbols@set
\@onlypreamble\M@delimiters@set
\@onlypreamble\M@arrows@set
\@onlypreamble\M@bigops@set
\@onlypreamble\M@extbigops@set
\@onlypreamble\M@bb@set
\@onlypreamble\M@cal@set
\@onlypreamble\M@frak@set
\@onlypreamble\M@bcal@set
\@onlypreamble\M@bfrak@set
%    \end{macrocode}
%
% 
% 
% 
% 
% 
% \section{Adjust Fonts: Setup}
% 
% 
% 
% The next three sections implement Lua-based font adjustments and apply only if the user has enabled font adjustment. Most of the implementation happens through Lua code, but we need some \TeX\ code in case the user wants to adjust character metric information. Here is a rough outline of what happens in the next three sections:
% \begin{enumerate}\itemsep\z@
% \item Initialize a Lua table that contains new metrics for certain characters specific to math mode, such as letters with wider bounding boxes and large operator symbols.
% \item Provide an interface for the user to change this metric information.
% \item Write functions that accept a fontdata object and (a) change top-level math specs to indicate that we have a math function; (b) alter characters according to our Lua table of new metric information; and (c) populate a MathConstants table for the font.
% \item Create callbacks that call these functions. Insert them into |luaotfload.patch_font|.
% \end{enumerate}
% Step 2 happens on the \TeX\ side of things and is documented next, and everything else happens inside |\directlua|. On the Lua side of things, we store all the functions and character metric information in the table |mathfont|. Every entry in mathfont is a function or is a subtable indexed within |mathfont| by an \meta{integer}. The \textit{integer} is a unicode encoding number and tells which unicode character the subtable keeps track of. See tables~2 and 3 for a list of the functions in |mathfont| and the fields in character subtables. See section 11 for discussion of the callbacks for editing fontdata objects.
% 
% 
% \begin{figure}[t]
% \centerline{\bfseries Table 2: Fields of Character Subtables in |mathfont|\strut}
% \begin{tabularx}\textwidth{lllllX}\toprule
% Field & Data Type & In |a|? & In |e|? & In |u|? & Used For\\\midrule
% |type| & string & Yes & Yes & Yes & Tells if type |a|, |e|, |u|\\
% |next| & depends & Yes & Yes & No & Unicode index of next-larger character(s);
%                                     integer for type |a|, table for type |u|\\
% |left_stretch| & numeric & Yes & No & No & Stretch bounding box left\\
% |right_stretch| & numeric & Yes & No & No & Stretch bounding box right\\
% |top_accent_stretch| & numeric & Yes & Yes & Yes & Position top accent\\
% |bot_accent_stretch| & numeric & Yes & Yes & Yes & Position bottom accent\\
% |total_variants| & integer & No & Yes & No & Number of large variants\\
% |smash| & integer & No & Yes & No & Unicode index for storing a smashed version\\
% |data| & table & No & Yes & No & Scale factors\\\bottomrule
% \end{tabularx}
% \end{figure}
% 
% 
% \begin{figure}[t]
% \centerline{\bfseries Table 3: Functions in |mathfont|\strut}
% \begin{tabularx}\textwidth{llX}\toprule
% Function & Argument(s) & Used For\\\midrule
% |new_type_a| & |index|, |next|, data & Add type |a| entry to |mathfont|\\
% |new_type_e| & |index|, |smash|, |next|, data & Add type |e| entry to |mathfont|\\
% |new_type_u| & |index|, |smash|, |next|, data & Add type |u| entry to |mathfont|\\\midrule
% |add_to_charm| & string of new charm info & Add new charm into to |mathfont|\\
% |parse_charm| & string of new charm info & Split the string, validate inputs\\\midrule
% |empty| & none & Does nothing\\
% |glyph_info| & character subtable & Return height, width, depth, italic\\
% |make_a_commands| & |index|, offset & Return virtual font commands\\
% |make_a_table| & |index|, charm data, fontdata & Make new character table for type |a|\\
% |make_e_commands| & |index|, scale factors & Return virtual font commands\\
% |make_e_table| & |index|, charm data, fontdata & Make new character table for type |e|\\
% |make_hex_value| & integer & Return hexadecimal string\\
% |make_u_commands| & |index|, offset & Return virtual font commands\\
% |make_u_table| & |index|, charm data, fontdata & Make new character table for type |u|\\
% |modify_e_base| & |index|, offset & Modify base glyph for type |e|\\
% |smash_glyph| & |index|, fontdata & Return table for smashed character\\\midrule
% |adjust_font| & fontdata & Call callbacks\\
% |apply_charm_info| & fontdata & Change character metrics in fontdata\\
% |get_font_name| & fontdata & Return font name\\
% |info| & string & Writes a message in the |log| file\\
% |math_constants| & fontdata & Creates a MathConstants table\\
% |set_nomath_true| & fontdata & Set top-level font specs for math\\\bottomrule
% \end{tabularx}
% \end{figure}
% 
% Changing top-level flags in a font object is straightforward. Creating a MathConstants table is complicated but largely self-contained. We take a few parameters that the user has set, define traditional \TeX\ math parameters based on the essential parameters of the font, and assign their values to corresponding entries in a MathConstants table. However, editing character metrics is convoluted with many moving parts. For every glyph that we want modify when \TeX\ loads a text font, we store character metric information about that glyph as a subtable in |mathfont|. The entries of the subtable describe how to stretch the glyph bounds, scale the glyph itself, or determine math accent placement. For characters of type |u|, we only specify accent placement. For characters of type |a|, which is the upper and lower-case Latin letters, we stretch the bounding box of the glyph horizontally to widen the letters slightly. When we load a text font, we create 52 virtual characters in the Unicode Supplementary Private Use Area-A that typeset the Latin letter glyphs in elongated bounding boxes, and later in \textsf{mathfont}, we set the mathcodes of Latin letters to be these virtual characters. For type |e|, we do the same thing except that for each character, we create an ensamble of scaled versions, which we use as a family of large variants.
% 
% Here's how to think about the dynamics of our approach. We use character metric information at three different times: pre-processing, interim processing, and post-processing. In pre-processing, which we implement in this section, we assemble initial character metric information into entries in |mathfont|. In other words, pre-processing means creating the initial |mathfont| subtables and happens during package loading. Interim processing means the user altering entries in |mathfont| and happens through |\CharmLine| and |\CharmFile|. This can occur at any point in the pramble. In post-processing, which we implement in the next section, \textsf{mathfont} extracts information from the current state of the |mathfont| table and uses it to alter a fontdata object. Post-processing happens through the |luaotfload.patch_font| callback and occurs once at the point when \TeX\ loads the font file. As a rule, \LaTeX\ does not like to load fonts before it uses them, so post-processing typically happens |\AtBeginDocument| in the case of the main text font or whenever the user calls a |\text|\meta{font keyword} command or enters math mode, whichever happens first. This is also why you cannot adjust fonts that \TeX\ loaded before \textsf{mathfont}.
% 
% 
% We set |mathnolimitsmode| to 4 to make integral signs look nice. Or at least nicer than they would otherwise.
%    \begin{macrocode}
\ifM@adjust@font
\mathnolimitsmode=4\relax
%    \end{macrocode}
% We need some error messages. We change the catcode of \expandafter|\textbackslash| to 12 in order to use it freely as a Lua escape character. We change |~| to catcode 0 to define the macros.
%    \begin{macrocode}
\bgroup
  \catcode`\~=0
  ~catcode`~\=12
  ~@firstofone{
~egroup
~def~M@number@ssert{"\n%
  Package mathfont error: Nonnumeric charm value.\n\n%
  I'm having trouble with a character metric.\n%
  Your \\CharmLine or \\CharmFile contains \""..temp_string.."\"\n%
  which is not a number. Make sure that your\n%
  charm information is all integers, floats,\n%
  or asterisks separated by commas or spaces.\n"}
~def~M@index@ssert{"\n%
  Package mathfont error: Invalid unicode index.\n\n%
  The unicode index \""..split_string[1].."\" is invalid. Make sure\n%
  that the first number in your \\CharmLine and in each\n%
  line of your \\CharmFile is an integer between 0 and\n%
  1,114,111.\n"}
~def~M@entries@ssert{"\n%
  Package mathfont error: Charm values too short.\n\n%
  Your charm information for U+"..index.." needs more\n%
  entries. Right now you have "..number_of_entries.." entries, and\n%
  you need at least "..entries_needed..". If you aren't sure what\n%
  to do, try adding asterisks to your \\CharmLine\n%
  or line in your \\CharmFile.\n"}}
%    \end{macrocode}
% The user inputs charm information at the \TeX\ level. We define the macros |\CharmLine| that interfaces with |mathfont:add_to_charm| directly and |\CharmFile| that reads lines from a file and individually feeds them to |\CharmLine|. For |\CharmLine|, we check that the argument contains no |"| or \expandafter|\textbackslash| symbols because that could mess up the Lua parsing.
%    \begin{macrocode}
\protected\def\CharmLine#1{%
  \begingroup
  \edef\@tempa{#1}
  \edef\@tempa{\detokenize\expandafter{\@tempa}}
  \@expandtwoargs\in@{"}{\@tempa}
%    \end{macrocode}
% If |#1| contains a |"|, we issue an error. The error help message is different depending on whether the |\CharmLine| came from a call to |\CharmFile| or not, which we check with |\ifM@fromCharmFile|.
%    \begin{macrocode}
  \ifin@ % is " in #1?
    \ifM@fromCharmFile
      \M@ForbiddenCharmFile{"}
    \else
      \M@ForbiddenCharmLine{"}
    \fi
  \else
    \@expandtwoargs\in@{\@backslashchar}{\@tempa}
    \ifin@ % is backslash in #1?
      \ifM@fromCharmFile
        \M@ForbiddenCharmFile{\@backslashchar}
      \else
        \M@ForbiddenCharmLine{\@backslashchar}
      \fi
    \else
%    \end{macrocode}
% If |#1| does not contain a quotation mark or escape char, we feed it to |mathfont:add_to_charm| as a string.
%    \begin{macrocode}
      \directlua{mathfont:add_to_charm("\@tempa")}
    \fi
  \fi
  \endgroup}
%    \end{macrocode}
% The argument of |\CharmFile| should be a valid filename, and we open it in |\M@Charm|. The |\M@fromCharmFiletrue| command sets the boolean for an open charm file to true. This command and the corresponding false command are global because of how the kernel defines |\newif|. We can't check |\ifeof\M@Charm| because during processing of the last line from |\M@Charm|, we are at the end of the file even though it is still open.
%    \begin{macrocode}
\protected\def\CharmFile#1{%
  \begingroup
  \M@fromCharmFiletrue
  \immediate\openin\M@Charm{#1}
%    \end{macrocode}
% The macro |\@next| will read a line in |#1|, feed it to |\CharmLine|, and call itself if the file has more lines.
%    \begin{macrocode}
  \def\@next{%
    \read\M@Charm to \@tempa
    \CharmLine\@tempa
    \ifeof\M@Charm\else % if file has more lines?
      \expandafter\@next
    \fi}
%    \end{macrocode}
% Call |\@next|, close the file, and end the group.
%    \begin{macrocode}
  \@next
  \immediate\closein\M@Charm
  \M@fromCharmFilefalse
  \endgroup}
%    \end{macrocode}
% This concludes the \TeX-based portion of font adjustments. The rest of this and the next two sections is the Lua script that adapts a text font for math mode. First, we create the |mathfont| table.
%    \begin{macrocode}
\directlua{
mathfont = {}
%    \end{macrocode}
% Each character whose metrics we want to change will have one of three types: |a| for alphabet, |e| for extensible, and |u| for (other) unicode. (We don't really create extensibles---type |e| means any character that we need artificially larger sizes for.) We begin with type |a|. The |index| is the base-10 unicode value of the character that we will later modify, and |next| is the base-10 unicode value of the slot we will use to store the modified glyph. The |data| variable is a table with 4 entries that stores sizing information and information regarding accent placement. We divide the information by 1000 as is standard in \TeX.
%    \begin{macrocode}
function mathfont:new_type_a(index, next, data)
  self[index] = {}
  self[index].type = "a"
  self[index].next = next
  self[index].left_stretch = data[1] / 1000
  self[index].right_stretch = data[2] / 1000
  self[index].top_accent_stretch = data[3] / 1000
  self[index].bot_accent_stretch = data[4] / 1000
end
%    \end{macrocode}
% Initializing type |e| characters is more complicated. The |index| argument is the base-10 unicode value of the caracter we will modify. The |smash| value is a unicode slot where we will store a smashed version of the glyph with no height, depth, or width, which we need to scale the glyph correctly. We use |next| and |data| to add large variants of characters to the font. Specifically, |next| is a table of unicode slots where we will add larger versions of the character with unicode value |index|, and |data| stores the sizing information.
%    \begin{macrocode}
function mathfont:new_type_e(index, smash, next, data)
%    \end{macrocode}
% We determine the number of larger variants |v| from the length of |next|, and we store that number in |total_variants|.
%    \begin{macrocode}
  local v = \string# next
  self[index] = {}
  self[index].type = "e"
  self[index].smash = smash
  self[index].next = next
  self[index].total_variants = v
  self[index].data = {}
%    \end{macrocode}
% We expect |data| to have $2|v|+2$ entries, which we consider in pairs. The $i$th pair (i.e.\ entries $i$ and $i+1$ of |data|) encodes the horizontal and vertical scale factors for the $i$th large variant, and the final two entries determine top and bottom accent placement. We store each pair as a two-element table in the larger table |mathfont[index].data|, and we use |x| and |y| as the keys for the horizontal and vertical stretch. Again we divide both scale factors by 1000.
%    \begin{macrocode}
  for i = 1, v, 1 do
    self[index].data[i] = {}
    self[index].data[i].x = data[2*i-1] / 1000
    self[index].data[i].y = data[2*i] / 1000
  end
  self[index].top_accent_stretch = data[2*v+1] / 1000
  self[index].bot_accent_stretch = data[2*v+2] / 1000
end
%    \end{macrocode}
% The type |u| characters are simplest. We need to specify the unicode index in the first argument. The second function argument is a table with two entries that stores accent information.
%    \begin{macrocode}
function mathfont:new_type_u(index, data)
  self[index] = {}
  self[index].type = "u"
  self[index].top_accent_stretch = data[1] / 1000
  self[index].bot_accent_stretch = data[2] / 1000
end
%    \end{macrocode}
% Interim processing. We provide a way for the user to edit resizing and accent information for the characters in |mathfont|. The function |mathfont.parse_charm| parses and validates the user's input, and the function |mathfont:add_to_charm| incorporates the user's information into the tables already in |mathfont|. The |mathfont:add_to_charm| function expects a single string of integers, floats, or asterisks separated by spaces or commas and immediately passes it to |parse_charm|. Our first task is to split the string into components, and we store the results in |split_string|. The dummy variable |i| keeps track of the number of entries currently in |split_string|.
%    \begin{macrocode}
function mathfont.parse_charm(charm_input)
  local split_string = {}
  local charm_string = charm_input
  local temp_string = ""
  local i = 1
%    \end{macrocode}
% We loop through |charm_string| as long as it contains a comma or space. At each iteration, we remove the portion of |charm_string| preceeding the first comma or space and append it to |split_string| as a separate entry.
%    \begin{macrocode}
  while string.find(charm_string, " ") or string.find(charm_string, ",") do
    local length = string.len(charm_string)
    local first_space = string.find(charm_string, " ") or length
    local first_comma = string.find(charm_string, ",") or length
%    \end{macrocode}
% We store the location of the first comma or space in |sep|.
%    \begin{macrocode}
    local sep = first_space
    if first_comma < first_space then
      sep = first_comma
    end
%    \end{macrocode}
% Now split |charm_string| at |sep|. We store the portion before |sep| in |temp_string|, and the portion after |sep| becomes the new |charm_string|.
%    \begin{macrocode}
    temp_string = string.sub(charm_string, 1, sep-1)
    charm_string = string.sub(charm_string, sep+1)
%    \end{macrocode}
% If |temp_string| is not empty, we store it in position |i| in |split_string|, then increment |i| by 1. If |temp_string| does not contain a number or asterisk, we raise an error.
%    \begin{macrocode}
    if temp_string \noexpand~= "" then
      if tonumber(temp_string) then % if a number, append number
        split_string[i] = tonumber(temp_string)
        i = i+1
      elseif temp_string == "*" then % if asterisk, append asterisk
        split_string[i] = temp_string
        i = i+1
      else % if neither, raise error
        error(\M@number@ssert)
      end
    end
  end
%    \end{macrocode}
% After we iterate the splitting procedure, we have a final portion of |charm_string| with no commas or spaces, and we perform the same check as on |temp_string| above. 
%    \begin{macrocode}
  temp_string = charm_string
  if temp_string \noexpand~= "" then
    if tonumber(temp_string) then % if a number, append number
      split_string[i] = tonumber(temp_string)
    elseif temp_string == "*" then % if asterisk, append asterisk
      split_string[i] = temp_string
    else % if neither, raise error
      error(\M@number@ssert)
    end
  end
%    \end{macrocode}
% The last step is to make sure that the first entry of |split_string| is a valid unicode index. We know that the first entry is either an asterisk or a number, and we make sure it is not an asterisk.
%    \begin{macrocode}
  local index = split_string[1]
  if index == "*" then
    error(\M@index@ssert)
  end
%    \end{macrocode}
% The last check is to make sure the entry is (1) an integer and not a float; (2) nonnegative; and (3) less than 1,114,111, the maximum unicode entry. We round the entry down by subtracting the decimal portion, and the result will be equal to the original entry if and only if we begn with an integer. We perform the three checks inside an |assert| and issue an error if any of them fail, and if |split_string| is valid, we return it to |mathfont:add_to_charm|.
%    \begin{macrocode}
  local rounded = index - (index \@percentchar 1) % subtract decimal portion
  local max = 1114111
  assert(index == rounded and index >= 0 and index <= max, \M@index@ssert)
  return split_string
end
%    \end{macrocode}
% We feed the user's charm information directly to |mathfont:add_to_charm|, which first calls |parse_charm| to parse the input and then modifies |mathfont| accordingly. After being parsed, we store the user's input in |charm_metrics|. The |index| is the base-10 unicode value of the character whose information we want to modify, and the |number_of_entries| is the length of |charm_metrics|.
%    \begin{macrocode}
function mathfont:add_to_charm(charm_string)
  local charm_metrics = self.parse_charm(charm_string)
  local index = charm_metrics[1]
  local number_of_entries = \string# charm_metrics
%    \end{macrocode}
% If |mathfont| does not already have an entry for the unicode character |index|, we create an entry with type |u|.
%    \begin{macrocode}
  if not self[index] then
    self:new_type_u(index, {0, 0})
  end
%    \end{macrocode}
% Handling the user's input depends on the type of entry |index|. The basic procedure is to first check that the input has enough entries and, if yes, to overwrite the numbers stored in |mathfont|'s corresponding subtable with the new information. If the user included an asterisk, we do nothing to that metric value. For type |a|, we need four entries besides the |index|. The first two wll overwrite the left and right offset, and the last two overwrite accent placement.
%    \begin{macrocode}
  if self[index].type == "a" then
    local entries_needed = 5
    assert(number_of_entries >= entries_needed, \M@entries@ssert)
    if charm_metrics[2] \noexpand~= "*" then
      self[index].left_stretch = charm_metrics[2] / 1000
    end
    if charm_metrics[3] \noexpand~= "*" then
      self[index].right_stretch = charm_metrics[3] / 1000
    end
    if charm_metrics[4] \noexpand~= "*" then
      self[index].top_accent_stretch = charm_metrics[4] / 1000
    end
    if charm_metrics[5] \noexpand~= "*" then
      self[index].bot_accent_stretch = charm_metrics[5] / 1000
    end
%    \end{macrocode}
% Type |e| is more complicated. The number of entries in the |charm_metrics| must be at least $2*|total_variants|+3$. We loop through the information and, for each $i$th pair of charm values, set those numbers to be the horizontal and vertical stretch information for the $i$th variant. We handle type |r| in the same way.
%    \begin{macrocode}
  elseif self[index].type == "e" then
    local tot_variants = self[index].total_variants
    local entries_needed = 2 * tot_variants + 3
    assert(number_of_entries >= entries_needed, \M@entries@ssert)
    for i = 1, tot_variants, 1 do
      if charm_metrics[2*i] \noexpand~= "*" then
        self[index].data[i].x = charm_metrics[2*i] / 1000
      end
      if charm_metrics[2*i+1] \noexpand~= "*" then
        self[index].data[i].y = charm_metrics[2*i+1] / 1000
      end
    end
%    \end{macrocode}
% The final two entries for type |e| or |r| are the accent information.
%    \begin{macrocode}
    if charm_metrics[2*tot_variants+2] \noexpand~= "*" then
      self[index].top_accent_stretch = charm_metrics[2*tot_variants+2] / 1000
    end
    if charm_metrics[2*tot_variants+3] \noexpand~= "*" then
      self[index].bot_accent_stretch = charm_metrics[2*tot_variants+3] / 1000
    end
%    \end{macrocode}
% Again the information for type |u| is the simplest. We need two values besides the |index|, one for the top accent and one for the bottom accent.
%    \begin{macrocode}
  elseif self[index].type == "u" then
    local entries_needed = 3
    assert(number_of_entries >= entries_needed, \M@entries@ssert)
    if charm_metrics[2] \noexpand~= "*" then
      self[index].top_accent_stretch = charm_metrics[2] / 1000
    end
    if charm_metrics[3] \noexpand~= "*" then
      self[index].bot_accent_stretch = charm_metrics[3] / 1000
    end
  end
end
%    \end{macrocode}
% We end this section with three general-purpose Lua functions. The |make_hex_value| function accepts a nonnegative integer and returns its hexadecimal representation as a string. The result will go in the variable |hex_string|. We handle the cases of 0 and 1 manually.
%    \begin{macrocode}
function mathfont.make_hex_value(integer)
  if integer == 0 then
    return "0000"
  end
  if integer == 1 then
    return "0001"
  end
  local hex_digits = "0123456789ABCDEF" % for reference
  local hex_string = ""
  local curr_val = integer
  local remainder = 0
%    \end{macrocode}
% Otherwise, we find the number of hexadecimal digits that we will need to represent the |integer|. We loop through the integers and stop when we reach the first power of 16 that is greater than |integer|.
%    \begin{macrocode}
  local i = 0
  while 16^i <= curr_val do
    i = i+1
  end
%    \end{macrocode}
% Once we know how many hex digits we will need, we subtract off successively smaller powers of 16. Our dummy variable |j| starts as the greatest power of 16 less than or equal to |integer|, and we divide by $16^{\hbox{\texttt{\footnotesize j}}}$. The quotient becomes the first hexadecimal digit, and we repeat the process with the remainder and a smaller value of |j|. The final result is the hexadecimal representation of our original |integer|.
%    \begin{macrocode}
  for j = i-1, 0, -1 do
    remainder = curr_val \@percentchar (16^j)
    curr_val = (curr_val - remainder) / (16^j)
    hex_string = hex_string .. string.sub(hex_digits, curr_val+1, curr_val+1)
    curr_val = remainder
  end
%    \end{macrocode}
% If |hex_string| has fewer than 4 digits, we add enough leading 0's to bring it to 4 digits.
%    \begin{macrocode}
  if \string# hex_string < 4 then
    for i = \string# hex_string, 4, 1 do
      hex_string = "0" .. hex_string
    end
  end
  return hex_string
end
%    \end{macrocode}
% The |glyph_info| function does exactly what it sounds like. It accepts a character table from a font and returns the width, height, depth, and italic correction values.
%    \begin{macrocode}
function mathfont.glyph_info(char)
  local glyph_width = char.width or 0
  local glyph_height = char.height or 0
  local glyph_depth = char.depth or 0
  local glyph_italic = char.italic or 0
  return glyph_width, glyph_height, glyph_depth, glyph_italic
end
%    \end{macrocode}
% The |:smash_glyph| function returns a character table that will produce a smashed version of the unicode character with value |index|. The character has no width, height, or depth and typesets the glyph virtually using a |char| font command.
%    \begin{macrocode}
function mathfont:smash_glyph(index, fontdata)
  local smash_table = {}
  smash_table.width = 0
  smash_table.height = 0
  smash_table.depth = 0
  smash_table.commands = {{"char", index}}
  return smash_table
end
%    \end{macrocode}
% An empty function that does nothing. Used later for creating callbacks.
%    \begin{macrocode}
function mathfont.empty(arg)
end
%    \end{macrocode}
% 
% 
% \section{Adjust Fonts: Changes}
%
%
% \begin{figure}[t]
% \centerline{\bfseries Table 4: Callbacks Created by \textsf{mathfont}\strut}
% \begin{tabularx}\textwidth{lXl}\toprule
% Callback Name & Called? & Default Behavior\\\midrule
% |"mathfont.inspect_font"| & Always & none\\\midrule
% |"mathfont.pre_adjust"| & 
%   \multirow{5}{*}{\vbox{\hbox{If |nomath|}\hbox{in |fontdata|}\hbox{is set to true}}} & none\\
% |"mathfont.disable_nomath"| &  & |mathfont.set_nomath_true|\\
% |"mathfont.add_math_constants"| & & |mathfont.math_constants|\\
% |"mathfont.fix_character_metrics"|& & |mathfont.apply_charm_info|\\
% |"mathfont.post_adjust"| & & none\\\bottomrule
% \end{tabularx}
% \end{figure}
%
%
%
% 
% This section contains the Lua functions that actually modify the font during loading. The three functions |set_nomath_true|, |math_constants|, and |apply_charm_info| do most of the heavy lifting, and we set them as the default behavior for three callbacks. In total, \textsf{mathfont} defines six different callbacks and calls them inside the function |adjust_font|---see table~4 for a list. Each callback accepts a fontdata object as an argument and returns nothing. You can use these callbacks to change \textsf{mathfont}'s default modifications or to modify a fontdata object before or after \textsf{mathfont} looks at it. Be aware that if you add a function to any of the |disable_nomath|, |add_math_constants|, or |fix_character_metrics| callbacks, Lua\TeX\ will not call the default |mathfont| function associated with the callback anymore. In other words, do not mess with these three callbacks unless you are duplicating the functionality of the corresponding ``Default Behavior'' function from table~4. 
% 
% We begin with the functions that modify character subtables in the font table, and in all cases, we return a new character table (or set of character tables in the case of type |e|) that we insert into the font object. For types |a| and |e|, we code the table from scratch, and for type |u|, we add information to the character tables that already exist in the font object. The three functions for assembling character tables take three arguments. The |index| argument is the unicode index of the base character that the function is modifying. The |charm_data| argument is the subtable in |mathfont| of charm information that corresponds to |index|, and the |fontdata| argument is a font object. We will pull information from |charm_data| and |fontdata| to assemble the new table.
% 
% We will incorporate five categories of information into our new character tables: glyph dimensions, unicode values, accent placement dimensions, virtual font commands, and math kerning. For type |a|, we increase the original horizontal glyph dimensions based on charm information, and for type |e|, we increase the width by horizontal scale factors and the height and depth by vertical scale factors. Accent placement dimensions come from charm information. For types |a| and |e|, we return a character table that will become a virtual character in the font, and we need to include commands to typeset certain base characters. For type |e|, we also create the large variants through |pdf| commands that stretch the base glyphs.
%  
% The type |a| commands include one command to move to the right by some offset and one command to typeset the base glyph.
%    \begin{macrocode}
function mathfont.make_a_commands(index, offset)
  local c_1 = {"right", offset}
  local c_2 = {"char", index}
  return {c_1, c_2}
end
%    \end{macrocode}
% The |:make_a_table| returns a character table for type |a| characters. We store the information to return in the variable |a_table| and the character subtable in |char|. The |slant| is the font's |slant| parameter and is used for calculating accent placement.
%    \begin{macrocode}
function mathfont:make_a_table(index, charm_data, fontdata)
  local a_table = {}
  local char = fontdata.characters[index] or {}
  local slant = fontdata.parameters.slant / 65536 or 0
%    \end{macrocode}
% The |left_stretch| and |right_stretch| values come from charm data and tell us how much extra space to add to the left and right sides of the character. Importantly, these values are additive. 
%    \begin{macrocode}
  local left_stretch = charm_data.left_stretch
  local right_stretch = charm_data.right_stretch
  local width, height, depth, italic = self.glyph_info(char)
%    \end{macrocode}
% Incorporate the italic correction into the character width.
%    \begin{macrocode}
  width = width + italic
%    \end{macrocode}
% The new width is $1+|left_stretch|+|right_stretch|$ times the original width. The horizontal offset that appears in the commands is the |left_stretch| portion of the new width.
%    \begin{macrocode}
  local offset = width * left_stretch
  a_table.width = width * (1 + left_stretch + right_stretch)
  a_table.height = height
  a_table.depth = depth
  a_table.italic = italic
  a_table.unicode = index
%    \end{macrocode}
% The |tounicode| entry is a hexadecimal string that encodes the unicode value of the base character.
%    \begin{macrocode}
  a_table.tounicode = self.make_hex_value(index)
%    \end{macrocode}
% We specify accent placement information by including |top_accent| and |bot_accent| entries in the |a_table|. We determine placement by setting the |top_accent| to be a base value plus a distance determined by the charm data and similarly for |bot_accent|. We imagine dividing up the character's bounding box as follows: (1)~some rectangular portion of the left and right areas of the bounding box is empty space added according to |left_stretch| and |right_stretch|; (2)~accordingly, the glyph occupies some rectangular area in the middle of the bounding box; (3)~if the font is slanted, that rectangle will actually be a parallogram where the rectangle overhangs both slanted edges of the parallogram in two triangles; and (4)~we can determine the size of these triangles according to the |slant| font parameter. We want the base measurement for the top accent to be located in the middle of the parallogram from step~(3) previously, and we end up with
% \[
% \hbox{base measurement}={|left_stretch|}*{|width|}+0.5*({|width|}-\sigma_1*{|height|})+\sigma_1*{|height|},
% \]
% where $\sigma_1$ is the |slant| parameter and |width| and |height| refer to the character in question. This equation simplifies to 
% \[
% (0.5 + {|left_stretch|}) * {|width|} + 0.5 \sigma_1 * {|height|},
% \]
% which is the formula we use for the base value of the top accent. We determine the base value of the bottom accent similarly. For the shift amount, we take the corresponding factor from the charm information and multiply it by the width of the character. Note that in all these cases, we use the |width|, not the |new_width| as our unit of measurement. This keeps the scaling of the accent placement independent of the |left_stretch| and |right_stretch| values.
%    \begin{macrocode}
  local top_base = (0.5 + left_stretch) * width + 0.5 * slant * height
  local bot_base = (0.5 + left_stretch) * width - 0.5 * slant * height
  local top_accent_shift = charm_data.top_accent_stretch * width
  local bot_accent_shift = charm_data.bot_accent_stretch * width
  a_table.top_accent = top_base + top_accent_shift
  a_table.bot_accent = bot_base + bot_accent_shift
%    \end{macrocode}
% Add the commands to the table.
%    \begin{macrocode}
  a_table.commands = self.make_a_commands(index, offset)
%    \end{macrocode}
% Because we are keeping the character's italic correction, we have superscripts and subscripts that are too far from the glyph if we leave things as is. The reason is that Lua\TeX\ adds italic correction of the nucleus to the horizontal position of superscripts when it formats exponents. Accordingly we want to move both superscript and subscript left by the italic correction of the nucleus, so we add a mathkern table to the character. A mathkern table contains up to four subtables, one for each corner of the character. Within each subtable, we store pairs of |height| and |kern| values, where |height| means to apply |kern| to exponents at that height. In this case, we have a |kern| value of minus italic correction in the upper and lower right corners.
%    \begin{macrocode}
  a_table.mathkern = {}
  a_table.mathkern.top_right = {{height = 0, kern = -italic}}
  a_table.mathkern.bottom_right = {{height = 0, kern = -italic}}
  a_table.mathkern.top_left = {{height = 0, kern = 0}}
  a_table.mathkern.bottom_left = {{height = 0, kern = 0}}
  return a_table
end
%    \end{macrocode}
% For type |e| characters, we need a function to modify the base glyph. We incorporate the italic correction into the width and add extra italic correction in the case of the integral symbol.
%    \begin{macrocode}
function mathfont:modify_e_base(index, fontdata)
  local char = fontdata.characters[index] or {}
  local width, height, depth, italic = self.glyph_info(char)
  char.width = width + italic
%    \end{macrocode}
% We trim the bounding box on the surd if the user requests it. Some text fonts extend the bounding box of the surd past the edge of the glyph, and we trim the edge of the box according to the values of |\M@surd@horizontal@factor| and |\M@surd@vertical@factor|.
%    \begin{macrocode}
  if index == 8730 then
%    \end{macrocode}
% Now get the scale factors from the \TeX\ side of things and scale down (or up) the height and with of the surd.
%    \begin{macrocode}
    local horizontal_scale = tex.getcount("M@surd@horizontal@factor") / 1000
    local vertical_scale = tex.getcount("M@surd@vertical@factor") / 1000
    char.width = horizontal_scale * char.width
    char.height = vertical_scale * height
  end
%    \end{macrocode}
% For the integral symbol, get the scale factor add the appropriate italic correction.
%    \begin{macrocode}
  if index == 8747 then
    local scale_factor = tex.getcount("M@integral@italic@factor") / 1000
    char.italic = scale_factor * width
  end
end
%    \end{macrocode}
% For the |e| commands, we not only typeset a certain glyph but also instruct the |pdf| backend to scale by a horizontal and vertical factor before doing so. In this way, we artificially add larger variants of a particular base glyph. The |pdf| command sends code directly to the pdf backend that handles the transformation. The |q| command indicates a linear transformation of the output, and the following string contains the transformation coordinates. The |Q| command restores the original coordinate system, and because it occurs between the transformation commands, the typeset glyph from the |char| command will be enlarged according to the transformation matrix.
%    \begin{macrocode}
function mathfont.make_e_commands(index, h_stretch, v_stretch)
  local c_1 = {"pdf", "origin", string.format(
    "q \@percentchar s 0 0 \@percentchar s 0 0 cm", h_stretch, v_stretch)}
  local c_2 = {"char", index}
  local c_3 = {"pdf", "origin", "Q"}
  return {c_1, c_2, c_3}
end
%    \end{macrocode}
% The function for type |e| characters returns a table with different structure because we need to create multiple characters at once. Specifically, the function returns a table with one entry for each larger variant that we want to add to the font. Many of the variables are the same as in |:make_type_a|. We store the base character subtable in |char| and the font's |slant| parameter in |slant|. The |tounicode| stores the hexadecimal unicode value of the base character for reference later, and |smash_index| is the index of the unicode slot that we are using to hold the smashed version of the base character.
%    \begin{macrocode}
function mathfont:make_e_table(index, charm_data, fontdata)
  local e_table = {}
  local char = fontdata.characters[index] or {}
  local slant = fontdata.parameters.slant / 65536
  local tounicode = self.make_hex_value(index)
  local smash_index = charm_data.smash
  local width, height, depth, italic = self.glyph_info(char)
%    \end{macrocode}
% We will create a number of entries in |e_table| equal to the number of variants we want, which is stored in |charm_data.total_variants|. We iteratively assemble the |e_table|, and we begin the iteration by extracting the |i|th horizontal and vertical scale factors from |charm_data|. The width, height, and depth of the |i|th new character will be scalings of these values from the original character.
%    \begin{macrocode}
  for i = 1, charm_data.total_variants, 1 do
    local h_stretch = charm_data.data[i].x
    local v_stretch = charm_data.data[i].y
    local new_width = width * h_stretch
    local new_height = height * v_stretch
    local new_depth = depth * v_stretch
    local new_italic = italic * h_stretch
%    \end{macrocode}
% We add new character bounds to the |i|th entry of |e_table|.
%    \begin{macrocode}
    e_table[i] = {}
    e_table[i].width = new_width
    e_table[i].height = new_height
    e_table[i].depth = new_depth
    e_table[i].italic = new_italic
%    \end{macrocode}
% Add the unicode information.
%    \begin{macrocode}
    e_table[i].unicode = index
    e_table[i].tounicode = tounicode
%    \end{macrocode}
% We handle accent placement the same way as with type |a| characters.
%    \begin{macrocode}
    local base_top_accent = 0.5 * new_width + 0.5 * slant * new_height
    local base_bot_accent = 0.5 * new_width - 0.5 * slant * new_height
    local top_accent_shift = charm_data.top_accent_stretch * new_width
    local bot_accent_shift = charm_data.bot_accent_stretch * new_width
    e_table[i].top_accent = base_top_accent + top_accent_shift
    e_table[i].bot_accent = base_bot_accent + bot_accent_shift
%    \end{macrocode}
% Add the commands.
%    \begin{macrocode}
    e_table[i].commands = 
      self.make_e_commands(smash_index, h_stretch, v_stretch)
%    \end{macrocode}
% If we aren't dealing with the last entry in the table, we need to add the character's |next| fields. The next larger variant after the |i|th character will the the ${|i|}+1$st character, and we can extract the index from the |charm_information|.
%    \begin{macrocode}
    if i < charm_data.total_variants then
      e_table[i].next = charm_data.next[i+1]
    end
  end
  return e_table
end
%    \end{macrocode}
% Making the |u| table is the easiest. We take the character subtable from |fontdata| as our starting point rather than assembling a new character subtable from scratch. The structure here is very similar to type |a| without the extra space from the |left_stretch| and |right_stretch|. Again, we incorporate the italic correction into the bounding box and add a negative mathkern to compensate.
%    \begin{macrocode}
function mathfont:make_u_table(index, charm_data, fontdata)
  local u_table = fontdata.characters[index] or {}
  local slant = fontdata.parameters.slant / 65536 or 0
  local width, height, depth, italic = self.glyph_info(u_table)
  local new_width = width + italic
  u_table.width = new_width
%    \end{macrocode}
% We handle accents in the same way as with the other types.
%    \begin{macrocode}
  local base_top_accent = 0.5 * new_width + 0.5 * slant * height
  local base_bot_accent = 0.5 * new_width - 0.5 * slant * height
  local top_accent_shift = charm_data.top_accent_stretch * new_width
  local bot_accent_shift = charm_data.bot_accent_stretch * new_width
  u_table.top_accent = base_top_accent + top_accent_shift
  u_table.bot_accent = base_bot_accent + bot_accent_shift
%    \end{macrocode}
% Add a mathkern table as in the case of type |a| characters.
%    \begin{macrocode}
  u_table.mathkern = {}
  u_table.mathkern.top_right = {{height = 0, kern = -italic}}
  u_table.mathkern.bottom_right = {{height = 0, kern = -italic}}
  u_table.mathkern.top_left = {{height = 0, kern = 0}}
  u_table.mathkern.bottom_left = {{height = 0, kern = 0}}
  return u_table
end
%    \end{macrocode}
% Before we get to the main font-changing functions, we code |make_fake_angle|, which returns a character table for the fake angle brackets. The function accepts the index of the smashed character as |index| and the index of the smashed gillement as |smash|. We form the fake angle bracket by using only the top 90\% of the original glyph, and we scale it to have the same height and depth as the left parenthesis. 
%    \begin{macrocode}
function mathfont.make_fake_angle(index, smash, fontdata)
  local temp = {}
  local lparen = fontdata.characters[40] or {}
  local lparen_height = lparen.height or 0
  local lparen_depth = lparen.depth or 0
  local glyph = fontdata.characters[index] or {}
  local glyph_height = glyph.height or 0
  local base_height = 0.9 * glyph_height
  local factor = 0
  if glyph_height \noexpand~= 0 then
    factor = (lparen_height + lparen_depth) / base_height
  end
  local shift = 0.1 * glyph_height * factor + lparen_depth
  temp.height = lparen_height
  temp.depth = lparen_depth
  temp.width = glyph.width or 0
  temp.italic = glyph.italic or 0
  temp.top_accent = glyph.top_accent or 0.5 * temp.width
  temp.bot_accent = glyph.bot_accent or 0.5 * temp.width
  temp.commands = {
    {"down", shift},
    {"pdf", "origin", string.format("q 1 0 0 \@percentchar s 0 0 cm", factor)},
    {"char", smash},
    {"pdf", "origin", "Q"},
    {"down", -shift}}
  return temp
end
%    \end{macrocode}
% We come to the main functions that modify the font. We need to accomplish three tasks, and we define separate functions for each one. First, we set the font's |nomath| entry to |false|. Second, we incorporate the modifications based on charm information into the font, i.e.\ set the font's character subtables using the previous functions from this section. Third, we need to add a MathConstants table. The first task is very easy.
%    \begin{macrocode}
function mathfont.set_nomath_true(fontdata)
  fontdata.nomath = false
  fontdata.oldmath = false
end
%    \end{macrocode}
% The second task is more involved. The basic idea is to loop through |mathfont|, and whenever we find an entry that is a subtable, we treat it as charm information that we use to modify the font object. We begin by storing the character information from the font in |chars| for easier reference later.
%    \begin{macrocode}
function mathfont.apply_charm_info(fontdata)
  local chars = fontdata.characters or {}
%    \end{macrocode}
% Before we loop through the charm data, we need to add fake angle brackets and |\nabla| to the font. We begin with the angle brackets.
%    \begin{macrocode}
  chars[1044538] = mathfont:smash_glyph(8249, fontdata) % \lguil
  chars[1044539] = mathfont:smash_glyph(8250, fontdata) % \rguil
  chars[1044540] = mathfont:smash_glyph(171, fontdata) % \llguil
  chars[1044541] = mathfont:smash_glyph(187, fontdata) % \rrguil
%    \end{macrocode}
% Now add the characters to the font.
%    \begin{macrocode}
  chars[1044508] = mathfont.make_fake_angle(8249, 1044538, fontdata)
  chars[1044509] = mathfont.make_fake_angle(8250, 1044539, fontdata)
  chars[1044510] = mathfont.make_fake_angle(171, 1044540, fontdata)
  chars[1044511] = mathfont.make_fake_angle(187, 1044541, fontdata)
%    \end{macrocode}
% Add the nabla (inverted Delta) character to the font if it is missing.
%    \begin{macrocode}
  if not chars[8711] then
    chars[8710] = chars[8710] or {}
    chars[1044508] = mathfont:smash_glyph(8710, fontdata)
    chars[8711] = {}
    chars[8711].width = chars[8710].width or 0
    chars[8711].height = chars[8710].height or 0
    chars[8711].depth = chars[8710].depth or 0
    chars[8711].italic = chars[8710].italic or 0
    chars[8711].top_accent = chars[8710].top_accent or 0.5 * chars[8711].width
    chars[8711].bot_accent = chars[8710].bot_accent or 0.5 * chars[8711].width
    chars[8711].unicode = 8711
    chars[8711].tounicode = mathfont.make_hex_value(8711)
    chars[8711].commands = {
      {"down", -chars[8711].height},
      {"pdf", "origin", "q 1 0 0 -1 0 0 cm"},
      {"char", 1044508},
      {"pdf", "origin", "Q"},
      {"down", chars[8711].height}}
  end
%    \end{macrocode}
% Perform the loop. We care about entries |info| whose type is a table.
%    \begin{macrocode}
  for index, info in pairs(mathfont) do
    if type(info) == "table" then
%    \end{macrocode}
% If the character's type is |a|, all we need to do is replace the character subtable in the font with our version.
%    \begin{macrocode}
      if info.type == "a" then
        chars[info.next] = mathfont:make_a_table(index, info, fontdata)
%    \end{macrocode}
% Again, type |e| is more complicated. This time we need to insert multiple character subtables into the font, one for the smashed version of the base glyph and others corresponding to the large variants that we create using the |:make_e_table| function from above. We also need to add |next| entries to the caracters in the font linking all the variants together.
%    \begin{macrocode}
      elseif info.type == "e" then
        local smash = info.smash
        chars[index] = chars[index] or {}
%    \end{macrocode}
% Set the |next| entry on the current character, modify the character's dimensions to incorporate italic correction into the width, and add a smashed version of the glyph into the font.
%    \begin{macrocode}
        chars[index].next = info.next[1]
        mathfont:modify_e_base(index, fontdata)
        chars[smash] = mathfont:smash_glyph(index, fontdata)
%    \end{macrocode}
% The function that creates the character table for type |e| produces one character subtable for each larger variant that we want to add, so we loop through the resulting table and add the contents to the font one at time. Each subtable goes in unicode slots that we take from the charm information, specifically the |next| table from |info|.
%    \begin{macrocode}
        local variants_table = mathfont:make_e_table(index, info, fontdata)
        for i = 1, info.total_variants, 1 do
          chars[info.next[i]] = variants_table[i]
        end
%    \end{macrocode}
% We deal with type |u| in the same way as we do type |a|.
%    \begin{macrocode}
      elseif info.type == "u" then
        chars[index] = mathfont:make_u_table(index, info, fontdata)
      end
    end
  end
end
%    \end{macrocode}
% The |populate_math_constants| function is even more complicated because we need to add a full MathConstants table to the font object, which has some fifty parameters that we need to set. To keep things simple, we set the font parameters in terms of traditional \TeX\ |\fontdimen| parameters. Besides the eight essential parameters found in all fonts, \TeX\  traditionally uses some fifteen extra parameters to typeset math formulas. To preserve whatever structure may already exist in the font object, we do not override any MathConstants that the font already contains.
%    \begin{macrocode}
function mathfont.math_constants(fontdata)
  fontdata.MathConstants = fontdata.MathConstants or {}
%    \end{macrocode}
% First evaluate the dimensions from the font object that we will use in determining other math parameter values. The |A_height| is the height of the capital ``A'' character, and the |y_depth| is the depth of the lower-case ``y'' character. Both will be 0 if the font does not have the correct character.
%    \begin{macrocode}
  local size = fontdata.size or 0
  local ex = fontdata.parameters.x_height or 0
  local em = fontdata.parameters.quad or 0
  local A_height = 0
  local y_depth = 0
  if fontdata.characters[65] then
    A_height = fontdata.characters[65].height or 0 % A
  end
  if fontdata.characters[121] then
    y_depth = fontdata.characters[121].depth or 0 % y
  end
%    \end{macrocode}
% We begin by setting the axis height and default rule thickness. We need to start with these parameters because we will use them to calculate other constants. We set both values to 0 initially and then change them.
%    \begin{macrocode}
  local axis = 0
  local rule_thickness = 0
%    \end{macrocode}
% Set the default rule thickness. If the font already has a value set for the parameter |FractionRuleThickness|, we take that as the default rule thickness, and otherwise we set it to be 1/18 of the font size times the adjustment factor from |\M@rule@thickness@factor|, which is the value of that |\count| divided by 1000. 
%    \begin{macrocode}
  local dim = "FractionRuleThickness"
  if not fontdata.MathConstants[dim] then
    local scale_factor = tex.getcount("M@rule@thickness@factor") / 1000
    rule_thickness = (size / 18) * scale_factor
    fontdata.MathConstants[dim] = rule_thickness
  else
    rule_thickness = fontdata.MathConstants[dim]
  end
%    \end{macrocode}
% If the font does not have |AxisHeight| already set, we set the axis to be the height of a minus sign (character 45). As a fallback, we set the axis to 0.8ex if the font does not have a character in unicode slot 45. If the font has an |AxisHeight|, we take that value as the |axis|.
%    \begin{macrocode}
  local dim = "AxisHeight"
  if fontdata.MathConstants[dim] then
    axis = fontdata.MathConstants[dim]
  else
    if fontdata.characters[45] then
      axis = fontdata.characters[45].height - 0.5 * rule_thickness
    else
      axis = 0.8 * ex
    end
    fontdata.MathConstants[dim] = axis
  end
%    \end{macrocode}
% Apart from the axis height and rule thickness, we can group the traditional mathematics |\fontdimen| parameters into three categories: four for large operators, five for fractions, and six for superscripts and subscripts. (OpenType math does not use the fifth large-operator parameter $\xi_{13}$ and the seventh script parameter $\sigma_{14}$.) We define variables with the same names as their traditional references from Appendix G in the \textit{\TeX Book}. I have taken the design approach of using twice the rule height as a standard minimum clearance, and I am assuming that script styles are roughly 70\% as large as text and display styles. We begin with the parameters for large operators.
% 
% The parameter $\xi_9$ is the minimum clearance between the top of a large operator and the limit above it, and we set it to be twice the rule thickness. Before ensuring that the bottom of the upper limit is at least $\xi_9$ away from the operator character, \TeX\ attempts to position the baseline of the limit at $\xi_{10}$ distance above the operator character, and we set $\xi_{10}$ to be slightly larger than $\xi_9$. If the upper limit has no decender, \TeX\ will raise its baseline by $\xi_{10}$, and if it has a descener, \TeX\ will position the bottom of the descender to be $\xi_9$ above the operator, which in practice means it will be higher than limits without descenders. This approach balances the desire for consistency in whitespace with the desire for consistency in baseline height. Similarly, we set the minimum clearance $\xi_{11}$ for the lower limit to be equal to the attempted clearance for the upper limit, and the attempted clearance $\xi_{12}$ for the lower limit will be the minimum clearance plus the average of the |\scriptfont| x-height and |\scriptfont| A-height.
%    \begin{macrocode}
  local xi_9 = 2 * rule_thickness              % upper limit minimum clearance
  local xi_10 = xi_9 + 0.35 * y_depth          % upper limit attempt placement
  local xi_11 = xi_10                          % lower limit minimum clearance
  local xi_12 = xi_10 + 0.35 * (A_height + ex) % lower limit attempt placement
%    \end{macrocode}
% Our general approach for |\displaystyle| fractions is to place the baseline of the numerator numerator at a distance above the fraction rule of 1.5 times the rule height plus descender depth plus a small extra space. The minimum clearance will be the rule height, so we expect the numerator to strictly exceed the minimum clearance in most situations. Doing so produces consistent baselines of numerators and gives our value for $\sigma_8$, the attempted height of the numerator in |\displaystyle| fractions. For smaller styles, we use a single rule height as clearance, so we add $0.5*|rule_thickness|+|y_depth|$ scaled down by 0.7 to the rule thickness. The minimum clearance for numerator and denominator are separate OpenType parameters, and we set them later. The extra 0.1 A-height in the attempted clearance relative to the minimum clearance appears because we measure attempted clearance from the axis, whereas we measure minimum clearance from the top or bottom of the fraction rule.
%    \begin{macrocode}
  local sigma_8 = axis + 1.5 * rule_thickness + y_depth + 0.1 * A_height
  local sigma_9 = (axis + 1.35 * rule_thickness + 0.7 * y_depth +
    0.07 * A_height)
  local sigma_10 = sigma_9
%    \end{macrocode}
% Our approach in the denominators is the same except that we add half the descender depth to the minimum clearance. This creates extra space below the fraction rule so that the typographical color above the rule matches that below the rule when the numerator contains descenders.
%    \begin{macrocode}
  local sigma_11 = (-axis + 1.5  * rule_thickness + 0.5 * y_depth + 
    1.1 * A_height)
  local sigma_12 = (-axis + 1.35 * rule_thickness + 0.35 * y_depth +
    0.77 * A_height)
%    \end{macrocode}
% For superscripts we think in terms of the top of the superscript. We raise the baseline of the superscript by the desired height of the superscript top minus the |\scriptfont| A-height. Choosing $1.3*|A_height|$ for regular styles and $1.2*|A_height|$ for cramped styles was a design choice that worked well. The attempted drop for subscripts is one-fifth the A-height or slightly more than the y-depth, whichever is greater. This way the subscript baseline is slightly lower than any descenders, and for fonts without descenders, we still clearly lower the subscript. Setting $\sigma_{18}$ and $\sigma_{19}$ was another design choice that worked well.
%    \begin{macrocode}
  local sigma_13 = 0.6 * A_height     % attempted superscript height
  local sigma_15 = 0.5 * A_height     % attempted superscript for \cramped
  local sigma_16 = 1.1 * y_depth      % attempted subscript lower
  if sigma_16 < 0.2 * A_height then
    sigma_16 = 0.2 * A_height
  end
  local sigma_17 = sigma_16           % sigma_16 when superscript present
  local sigma_18 = 0.5 * A_height     % superscript lower for boxed subformula
  local sigma_19 = 0.1 * A_height     % subscript lower for boxed subformula
%    \end{macrocode}
% The MathConstants themselves come from the unicode equivalents of the traditional \TeX\ |\fontdimen| parameters where appropriate. Where not appropriate, I made design choices as indicated. Setting the next three parameters was purely a design choice. 
%    \begin{macrocode}
  local dim = "DisplayOperatorMinHeight"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 1.8 * A_height
  end
  local dim = "FractionDelimiterDisplayStyleSize"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 2 * size
  end
  local dim = "FractionDelimiterSize"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 1.3 * size
  end
  local dim = "FractionDenominatorDisplayStyleShiftDown"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_11
  end
  local dim = "FractionDenominatorShiftDown"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_12
  end
%    \end{macrocode}
% We set the minium clearance for the numerator to be twice the rule height in |\displaystyle| and the rule height in other styles. Our approach in setting the attempted height of the numerator ($\sigma_8$ and $\sigma_9$) was to add the minimum clearance plus the descender depth plus a small extra space, so in general, we do not expect the numerator to run into the minimum clearance. For the denominator, we do the same thing except add half the descender depth to the clearance, which balances the amount of color above and below the fraction rule and is similar to what we did for the lower limits on big operators when we set $\xi_{11}$ larger than $\xi_9$.
%    \begin{macrocode}
  local dim = "FractionDenominatorDisplayStyleGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness + 0.5 * y_depth
  end
  local dim = "FractionDenominatorGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness + 0.35 * y_depth
  end
  local dim = "FractionNumeratorDisplayStyleShiftUp"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_8
  end
  local dim = "FractionNumeratorShiftUp"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_9
  end
  local dim = "FractionNumeratorDisplayStyleGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "FractionNumeratorGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
%    \end{macrocode}
% The |SkewedFractionHorizontalGap| and |SkewedFractionVerticalGap| take the values that Lua\TeX would set for a traditional \TeX\ font.
%    \begin{macrocode}
  local dim = "SkewedFractionHorizontalGap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 0.5 * em
  end
  local dim = "SkewedFractionVerticalGap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = ex
  end
%    \end{macrocode}
% The |UpperLimit| and |LowerLimit| dimensions correspond exactly to traditional \TeX\ math |\fontdimen| parameters.
%    \begin{macrocode}
  local dim = "UpperLimitBaselineRiseMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_11
  end
  local dim = "UpperLimitGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_9
  end
  local dim = "LowerLimitBaselineDropMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_12
  end
  local dim = "LowerLimitGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_10
  end
%    \end{macrocode}
% Traditional \TeX\ doesn't have stack objects, but they are meant to be similar to large operators, so we set the same parameters.
%    \begin{macrocode}
  local dim = "StretchStackGapBelowMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_10
  end
  local dim = "StretchStackTopShiftUp"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_11
  end
  local dim = "StretchStackGapAboveMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_9
  end
  local dim = "StretchStackBottomShiftDown"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = xi_12
  end
%    \end{macrocode}
% For the three |Overbar| parameters, we take the approach that the bar itself should be as thick as the rule height. The gap will be twice the rule height, and the extra clearance will be a single rule height.
%    \begin{macrocode}
  local dim = "OverbarExtraAscender"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "OverbarRuleThickness"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "OverbarVerticalGap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 2 * rule_thickness
  end
%    \end{macrocode}
% For the radical sign, we take the same approach as with the |Overbar| parameters. We insert one rule thickness of extra space above the radical symbol and two rule thickness of extra space under it. For |\textstyle| and smaller, we reduce the space to a single rule height.
%    \begin{macrocode}
  local dim = "RadicalExtraAscender"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "RadicalRuleThickness"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "RadicalDisplayStyleVerticalGap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 2 * rule_thickness
  end
  local dim = "RadicalVerticalGap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
%    \end{macrocode}
% The final three |Radical| parameters aren't used if we handle degree placement at the macro level rather than at the font level. We set them to the default values that Lua\TeX\ uses for traditional tfm fonts.
%    \begin{macrocode}
  local dim = "RadicalKernBeforeDegree"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = (5/18) * em
  end
  local dim = "RadicalKernAfterDegree"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = (10/18) * em
  end
  local dim = "RadicalDegreeBottomRaisePercent"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 60
  end
%    \end{macrocode}
% The |SpaceAfterShift| is a design choice. Somewhat arbitrary.
%    \begin{macrocode}
  local dim = "SpaceAfterScript"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 0.1 * em
  end
%    \end{macrocode}
% The |Stack| parameters come from their traditional |\fontdimen| analogues.
%    \begin{macrocode}
  local dim = "StackBottomDisplayStyleShiftDown"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_11
  end
  local dim = "StackBottomShiftDown"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_12
  end
  local dim = "StackTopDisplayStyleShiftUp"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_8
  end
  local dim = "StackTopShiftUp"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_10
  end
%    \end{macrocode}
% Traditionally \TeX\ uses an internal method rather than a parameter to determine the minimum distance between two boxes in an |\atop| stack. We set the minimum distance to be one rule thickness plus the combined minimum clearance for numerators and denominators in fractions. For |\displaystyle|, that gives us 
% \[
% |rule_thickness|+(2*|rule_thickness|)+(2*|rule_thickness|+0.5*|y_depth|)
% \]
% For smaller styles, we use single rule height values and scale down the |y_depth| by 0.7.
%    \begin{macrocode}
  local dim = "StackDisplayStyleGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 5 * rule_thickness + 0.5 * y_depth
  end
  local dim = "StackGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 3 * rule_thickness + 0.35 * y_depth
  end
%    \end{macrocode}
% With three exceptions, superscript and subscript parameters come from traditional \TeX\ dimensions.
%    \begin{macrocode}
  local dim = "SubscriptShiftDown"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_16
  end
  local dim = "SubscriptBaselineDropMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_19
  end
  local dim = "SubscriptShiftDownWithSuperscript"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_17
  end
%    \end{macrocode}
% The top of a subscript should be less than half the A-height. This is a somewhat arbitrary design choice.
%    \begin{macrocode}
  local dim = "SubscriptTopMax"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 0.5 * A_height
  end
%    \end{macrocode}
% The minimum gap between superscripts and subscripts will be the height of the rule. This is less space than \TeX\ traditionally allocates.
%    \begin{macrocode}
  local dim = "SubSuperscriptGapMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
%    \end{macrocode}
% We set the minimum height for the bottom of a subscript to be the height of a superscript in cramped styles minus the depth of a possible descender. Theoretically this is the lowest that any portion of a superscript should ever be if it contains only text.
%    \begin{macrocode}
  local dim = "SuperscriptBottomMin"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_15 - 0.7 * y_depth
  end
  local dim = "SuperscriptBaselineDropMax"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_18
  end
  local dim = "SuperscriptShiftUp"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_13
  end
  local dim = "SuperscriptShiftUpCramped"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = sigma_15
  end
%    \end{macrocode}
% If the superscript and subscript overlap, we choose the new position such that the baselines of subscripts are roughly consistent across subformulas. In this case, the bottom of the superscript box will rise at most to the point such that a subscript containing only text at 70\% of the next-larger style will align with all similar subscripts. The top of the subscript will have approximate height $-\sigma_{16}+0.7*|A_height|$ above the baseline, so to find our desired position for the bottom of the superscript, we add the minimum clearance of a single rule thickness. Putting this parameter in terms of the subscript sizing is necessary because we don't know how large the descender will be in a given subscript.
%    \begin{macrocode}
  local dim = "SuperscriptBottomMaxWithSubscript"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = -sigma_16 + 0.7 * A_height + rule_thickness
  end
%    \end{macrocode}
% As with the |Overbar| parameters, we set the extra clearance to be the rule height and the gap to be twice the rule height.
%    \begin{macrocode}
  local dim = "UnderbarExtraDescender"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "UnderbarRuleThickness"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = rule_thickness
  end
  local dim = "UnderbarVerticalGap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 2 * rule_thickness
  end
%    \end{macrocode}
% No reason not to set |MinConnectorOverlap| to 0. It doesn't matter for our purposes because \textsf{mathfont} doesn't use extensibles.
%    \begin{macrocode}
  local dim = "MinConnectorOverlap"
  if not fontdata.MathConstants[dim] then
    fontdata.MathConstants[dim] = 0
  end
end
%    \end{macrocode}
% Time for callbacks! We create six of them.
%    \begin{macrocode}
luatexbase.create_callback("mathfont.inspect_font", "simple", mathfont.empty)
luatexbase.create_callback("mathfont.pre_adjust", "simple", mathfont.empty)
luatexbase.create_callback("mathfont.disable_nomath", "simple",
  mathfont.set_nomath_true)
luatexbase.create_callback("mathfont.add_math_constants", "simple",
  mathfont.math_constants)
luatexbase.create_callback("mathfont.fix_character_metrics", "simple",
  mathfont.apply_charm_info)
luatexbase.create_callback("mathfont.post_adjust", "simple", mathfont.empty)
%    \end{macrocode}
% The functions |mathfont.info| and |mathfont.get_font_name| are used for informational messaging. The first prints a message in the |log| file, and the second returns a font name.
%    \begin{macrocode}
function mathfont.info(msg)
  texio.write_nl("log", "Package mathfont Info: " .. msg)
end
function mathfont.get_font_name(fontdata)
  return fontdata.fullname or fontdata.psname or fontdata.name or "<??>"
end
%    \end{macrocode}
% The |adjust_font| function is what we will actually be adding to |luaotfload.patch_font|. This function calls the six callbacks at appropriate times and writes informational messages in the |log| file.
%    \begin{macrocode}
function mathfont.adjust_font(fontdata)
  luatexbase.call_callback("mathfont.inspect_font", fontdata)
  if fontdata.nomath then
    mathfont.info("Adjusting font " .. mathfont.get_font_name(fontdata) .. ".")
    luatexbase.call_callback("mathfont.pre_adjust", fontdata)
    luatexbase.call_callback("mathfont.disable_nomath", fontdata)
    luatexbase.call_callback("mathfont.add_math_constants", fontdata)
    luatexbase.call_callback("mathfont.fix_character_metrics", fontdata)
    luatexbase.call_callback("mathfont.post_adjust", fontdata)
  else
    mathfont.info("No changes made to " .. 
      mathfont.get_font_name(fontdata) .. ".")
  end
end
%    \end{macrocode}
% Finally, add the processing function to \textsf{luaotfload}'s |patch_font| callback.
%    \begin{macrocode}
luatexbase.add_to_callback("luaotfload.patch_font", mathfont.adjust_font,
  "mathfont.adjust_font")
%    \end{macrocode}
% 
% 
% \section{Adjust Fonts: Metrics}
% 
% 
% 
% 
% This section contains the default charm information for the characters that \textsf{mathfont} adjusts upon loading a font. We will make new variants in the private use area of the font. Lower-case Latin letters will fill unicode slots U+FF000 through U+FF021, which are located in the Supplemental Private Use Area-A portion of the unicode table.
%    \begin{macrocode}
mathfont:new_type_a(97, 1044480, {50, 50, -50, 0}) % a
mathfont:new_type_a(98, 1044481, {50, 50, -50, 0}) % b
mathfont:new_type_a(99, 1044482, {50, 50, 0, 0}) % c
mathfont:new_type_a(100, 1044483, {50, -50, -50, 0}) % d
mathfont:new_type_a(101, 1044484, {50, 50, 0, 0}) % e
mathfont:new_type_a(102, 1044485, {200, 0, 0, 0}) % f
mathfont:new_type_a(103, 1044486, {100, 50, -50, 0}) % g
mathfont:new_type_a(104, 1044487, {50, 0, -50, 0}) % h
mathfont:new_type_a(105, 1044488, {50, 100, -100, 0}) % i
mathfont:new_type_a(106, 1044489, {400, 50, -50, 0}) % j
mathfont:new_type_a(107, 1044490, {50, 50, -100, 0}) % k
mathfont:new_type_a(108, 1044491, {100, 150, -100, 0}) % l
mathfont:new_type_a(109, 1044492, {50, 0, 0, 0}) % m
mathfont:new_type_a(110, 1044493, {50, 0, 0, 0}) % n
mathfont:new_type_a(111, 1044494, {50, 0, 0, 0}) % o
mathfont:new_type_a(112, 1044495, {200, 50, -50, 0}) % p
mathfont:new_type_a(113, 1044496, {50, 0, -50, 0}) % q
mathfont:new_type_a(114, 1044497, {100, 100, -50, 0}) % r
mathfont:new_type_a(115, 1044498, {50, 50, -50, 0}) % s
mathfont:new_type_a(116, 1044499, {50, 50, -50, 0}) % t
mathfont:new_type_a(117, 1044500, {0, 50, 0, 0}) % u
mathfont:new_type_a(118, 1044501, {0, 50, -50, 0}) % v
mathfont:new_type_a(119, 1044502, {0, 50, 0, 0}) % w
mathfont:new_type_a(120, 1044503, {50, 0, -50, 0}) % x
mathfont:new_type_a(121, 1044504, {150, 50, -50, 0}) % y
mathfont:new_type_a(122, 1044505, {100, 50, -100, 0}) % z
mathfont:new_type_a(305, 1044506, {100, 100, -150, 0}) % \imath
mathfont:new_type_a(567, 1044507, {700, 50, -150, 0}) % \jmath
%    \end{macrocode}
% Upper-case Latin letters will fill unicode slots U+FF020 through U+FF039.
%    \begin{macrocode}
mathfont:new_type_a(65, 1044512, {50, 0, 150, 0}) % A
mathfont:new_type_a(66, 1044513, {50, 0, 0, 0}) % B
mathfont:new_type_a(67, 1044514, {0, 0, 0, 0}) % C
mathfont:new_type_a(68, 1044515, {50, 0, -50, 0}) % D
mathfont:new_type_a(69, 1044516, {50, 0, 0, 0}) % E
mathfont:new_type_a(70, 1044517, {50, 0, 0, 0}) % F
mathfont:new_type_a(71, 1044518, {0, 0, 0, 0}) % G
mathfont:new_type_a(72, 1044519, {50, 0, -50, 0}) % H
mathfont:new_type_a(73, 1044520, {100, 0, 0, 0}) % I
mathfont:new_type_a(74, 1044521, {50, 0, 100, 0}) % J
mathfont:new_type_a(75, 1044522, {50, 0, 0, 0}) % K
mathfont:new_type_a(76, 1044523, {50, 0, -180, 0}) % L
mathfont:new_type_a(77, 1044524, {50, 0, -50, 0}) % M
mathfont:new_type_a(78, 1044525, {50, 0, -50, 0}) % N
mathfont:new_type_a(79, 1044526, {0, 0, 0, 0}) % O
mathfont:new_type_a(80, 1044527, {0, 0, -50, 0}) % P
mathfont:new_type_a(81, 1044528, {0, 50, 0, 0}) % Q
mathfont:new_type_a(82, 1044529, {50, 0, -50, 0}) % R
mathfont:new_type_a(83, 1044530, {0, 0, -50, 0}) % S
mathfont:new_type_a(84, 1044531, {0, 0, -50, 0}) % T
mathfont:new_type_a(85, 1044532, {0, 0, -50, 0}) % U
mathfont:new_type_a(86, 1044533, {0, 50, 0, 0}) % V
mathfont:new_type_a(87, 1044534, {0, 50, -50, 0}) % W
mathfont:new_type_a(88, 1044535, {50, 0, 0, 0}) % X
mathfont:new_type_a(89, 1044536, {0, 0, -50, 0}) % Y
mathfont:new_type_a(90, 1044537, {50, 0, -50, 0}) % Z
%    \end{macrocode}
% The Greek characters will be type |u|, so we don't need extra unicode slots for them. In future editions of \textsf{mathfont}, they may becoeme type |a| with adjusted bounding boxes, but I don't have immediate plans for such a change.
%    \begin{macrocode}
mathfont:new_type_u(945, {0, 0}) % \alpha
mathfont:new_type_u(946, {0, 0}) % \beta
mathfont:new_type_u(947, {-50, 0}) % \gamma
mathfont:new_type_u(948, {0, 0}) % \delta
mathfont:new_type_u(1013, {50, 0}) % \epsilon
mathfont:new_type_u(950, {0, 0}) % \zeta
mathfont:new_type_u(951, {-50, 0}) % \eta
mathfont:new_type_u(952, {0, 0}) % \theta
mathfont:new_type_u(953, {-50, 0}) % \iota
mathfont:new_type_u(954, {0, 0}) % \kappa
mathfont:new_type_u(955, {-150, 0}) % lambda
mathfont:new_type_u(956, {0, 0}) % \mu
mathfont:new_type_u(957, {-50, 0}) % \nu
mathfont:new_type_u(958, {0, 0}) % \xi
mathfont:new_type_u(959, {0, 0}) % \omicron
mathfont:new_type_u(960, {-100, 0}) % \pi
mathfont:new_type_u(961, {-50, 0}) % \rho
mathfont:new_type_u(963, {-100, 0}) % \sigma
mathfont:new_type_u(964, {-100, 0}) % \tau
mathfont:new_type_u(965, {-50, 0}) % \upsilon
mathfont:new_type_u(981, {0, 0}) % \phi
mathfont:new_type_u(967, {-50, 0}) % \chi
mathfont:new_type_u(968, {-50, 0}) % \psi
mathfont:new_type_u(969, {0, 0}) % \omega
mathfont:new_type_u(976, {0, 0}) % \varbeta
mathfont:new_type_u(949, {-50, 0}) % \varepsilon
mathfont:new_type_u(977, {50, 0}) % \vartheta
mathfont:new_type_u(1009, {-50, 0}) % \varrho
mathfont:new_type_u(962, {-50, 0}) % \varsigma
mathfont:new_type_u(966, {0, 0}) % \varphi
%    \end{macrocode}
% Upper-case Greek characters. Same as previously.
%    \begin{macrocode}
mathfont:new_type_u(913, {0, 0}) % \Alpha
mathfont:new_type_u(914, {0, 0}) % \Beta
mathfont:new_type_u(915, {0, 0}) % \Gamma
mathfont:new_type_u(916, {0, 0}) % \Delta
mathfont:new_type_u(917, {0, 0}) % \Epsilon
mathfont:new_type_u(918, {0, 0}) % \Zeta
mathfont:new_type_u(919, {0, 0}) % \Eta
mathfont:new_type_u(920, {0, 0}) % \Theta
mathfont:new_type_u(921, {0, 0}) % \Iota
mathfont:new_type_u(922, {0, 0}) % \Kappa
mathfont:new_type_u(923, {0, 0}) % \Lambda
mathfont:new_type_u(924, {0, 0}) % \Mu
mathfont:new_type_u(925, {0, 0}) % \Nu
mathfont:new_type_u(926, {0, 0}) % \Xi
mathfont:new_type_u(927, {0, 0}) % \Omicron
mathfont:new_type_u(928, {0, 0}) % \Pi
mathfont:new_type_u(929, {0, 0}) % \Rho
mathfont:new_type_u(931, {0, 0}) % \Sigma
mathfont:new_type_u(932, {0, 0}) % \Tau
mathfont:new_type_u(933, {0, 0}) % \Upsilon
mathfont:new_type_u(934, {0, 0}) % \Phi
mathfont:new_type_u(935, {0, 0}) % \Chi
mathfont:new_type_u(936, {0, 0}) % \Psi
mathfont:new_type_u(937, {0, 0}) % \Omega
mathfont:new_type_u(1012, {0, 0}) % \varTheta
%    \end{macrocode}
% We add the charm information for delimiters and other resizable characters. We divide the characters into four categories depending on how we want to magnify the base glyph to create large variants: delimiters, big operators, vertical characters, and the integral sign. We automate the process by putting charm information for each category of character into a separate table and feeding the whole thing to a wrapper around |:new_type_e|.
%    \begin{macrocode}
local delim_glyphs = {40, % (
  41, % )
  47, % /
  91, % [
  92, % backslash
  93, % ]
  123, % {
  125, % }
  8249, % \lguil
  8250, % \rguil
  171, % \llguil
  187, % \rrguil
  1044508, % \fakelangle
  1044509, % \fakerangle
  1044510, % \fakellangle
  1044511} % \fakerrangle
local big_op_glyphs = {33, % !
  35, % #
  36, % $
  37, % %
  38, % &
  43, % +
  63, % ?
  64, % @
  167, % \S
  215, % \times
  247, % \div
  8719, % \prod
  8721, % \sum
  8720, % \coprod
  8897, % \bigvee
  8896, % \bigwedge
  8899, % \bigcup
  8898, % \bigcap
  10753, % \bigoplus
  10754, % \bigotimes
  10752, % \bigodot
  10757, % \bigsqcap
  10758} % \bigsqcup
local vert_glyphs = {124, 8730} % | and \surd
local int_glyphs = {8747, % \intop
  8748, % \iint
  8749, % \iiint
  8750, % \oint
  8751, % \oiint
  8752} % \oiiint
%    \end{macrocode}
% The variable |smash| will keep track of the unicode index used to store the smashed version of the character. 
%    \begin{macrocode}
local smash = 1044544
%    \end{macrocode}
% Each category of type |e| character will have its own table of charm information with different magnification values. each table is initially empty.
%    \begin{macrocode}
local delim_scale = {}
local big_op_scale = {}
local vert_scale = {}
local int_scale = {}
%    \end{macrocode}
% Populate each table with magnification information. For every type |e| character we will create fifteen larger variants in the font. Delimiters stretch mostly vertically and some horzontally. Vertical characters stretch vertically only, so their horizontal scale factors are all constant. Big operators stretch the same in vertical and horizoontal directions.
%    \begin{macrocode}
for i = 1, 15, 1 do
  delim_scale[2*i-1] = 1000 + 100*i % horizontal - delimiters
  delim_scale[2*i] = 1000 + 500*i   % vertical - delimiters
  vert_scale[2*i-1] = 1000
  vert_scale[2*i] = 1000 + 500*i    % vertical - vertically scaled chars
  big_op_scale[2*i-1] = 1000 + 100*i   % horizontal - big operators
  big_op_scale[2*i] = 1000 + 100*i     % vertical - big operators
%    \end{macrocode}
% The integral sign is particular. Visually, we would like an integral symbol that is larger than the large operators, which means that the integral sign should have no variants between the font's value of |\Umathoperatorsize| and the desired larger size. Accordingly, I decided it would be easiest to have large variants of the integral sign jump by large enough scale factors that the smallest variant larger than the regular size is already significantly larger than the |\Umathoperatorsize| setting in |populate_math_constants|. Effectively this means that the user should take the size of the integral operator as fixed and should set |\Umathoperatorsize| to make all other big operators the desired size.
%    \begin{macrocode}
  int_scale[2*i-1] = 1000 + 500*i     % horizontal - integral sign
  int_scale[2*i] = 1000 + 1500*i      % vertical - integral sign
end
%    \end{macrocode}
% We do not modify accent placement.
%    \begin{macrocode} 
delim_scale[31] = 0
delim_scale[32] = 0
big_op_scale[31] = 0
big_op_scale[32] = 0
vert_scale[31] = 0
vert_scale[32] = 0
int_scale[31] = 0
int_scale[32] = 0
%    \end{macrocode}
% The wrapper for |:new_type_e|. We feed it the index to use for the smashed base character, a list of characters to create charm information for, and a table of scaling information.
%    \begin{macrocode}
function mathfont:add_extensible_variants(first_smash, glyph_list, scale_list)
  local variants = (\string# scale_list - 2) / 2
  local curr_smash = first_smash
  for i = 1, \string# glyph_list, 1 do
    local curr_char = glyph_list[i]
%    \end{macrocode}
% The |curr_slots| list will hold the base-10 unicode index values of each larger variant of the base character. We will take a number of unicode slots following the smashed character equal to the number of large variants we want to create, which we stored in |variants|.
%    \begin{macrocode}
    local curr_slots = {}
    for j = 1, variants, 1 do
      curr_slots[j] = curr_smash + j
    end
%    \end{macrocode}
% Add the charm information and increment |smash|.
%    \begin{macrocode}
    self:new_type_e(curr_char, curr_smash, curr_slots, scale_list)
    smash = smash + variants + 1
    curr_smash = smash
  end
end
%    \end{macrocode}
% Add the charm information for the type |e| characters.
%    \begin{macrocode}
mathfont:add_extensible_variants(smash, delim_glyphs, delim_scale)
mathfont:add_extensible_variants(smash, big_op_glyphs, big_op_scale)
mathfont:add_extensible_variants(smash, vert_glyphs, vert_scale)
mathfont:add_extensible_variants(smash, int_glyphs, int_scale)
%    \end{macrocode}
% Finally, end the call to |\directlua| and balance the preceeding conditional.
%    \begin{macrocode}
}
\fi % matches previous \ifM@adjust@font
%    \end{macrocode}
% 
% 
% 
% \section{Unicode Hex Values}
% 
% 
% 
% Set upper-case Latin characters. We use an |\edef| for |\M@upper@font| because
% every expansion now will save \LaTeX\ twenty-six expansions later when it 
% evaluates each |\DeclareMathSymbol|. If the user has enabled Lua font adjustments, we set the math codes to be the large values from the Supplemental Private Use Area-A.\indexpage{keywordupper=keyword \texttt{upper}}%
%    \begin{macrocode}
\ifM@adjust@font
  \def\M@upper@set{%
    \edef\M@upper@font{M\M@uppershape\@tempa}
    \DeclareMathSymbol{A}{\mathalpha}{\M@upper@font}{1044512}
    \DeclareMathSymbol{B}{\mathalpha}{\M@upper@font}{1044513}
    \DeclareMathSymbol{C}{\mathalpha}{\M@upper@font}{1044514}
    \DeclareMathSymbol{D}{\mathalpha}{\M@upper@font}{1044515}
    \DeclareMathSymbol{E}{\mathalpha}{\M@upper@font}{1044516}
    \DeclareMathSymbol{F}{\mathalpha}{\M@upper@font}{1044517}
    \DeclareMathSymbol{G}{\mathalpha}{\M@upper@font}{1044518}
    \DeclareMathSymbol{H}{\mathalpha}{\M@upper@font}{1044519}
    \DeclareMathSymbol{I}{\mathalpha}{\M@upper@font}{1044520}
    \DeclareMathSymbol{J}{\mathalpha}{\M@upper@font}{1044521}
    \DeclareMathSymbol{K}{\mathalpha}{\M@upper@font}{1044522}
    \DeclareMathSymbol{L}{\mathalpha}{\M@upper@font}{1044523}
    \DeclareMathSymbol{M}{\mathalpha}{\M@upper@font}{1044524}
    \DeclareMathSymbol{N}{\mathalpha}{\M@upper@font}{1044525}
    \DeclareMathSymbol{O}{\mathalpha}{\M@upper@font}{1044526}
    \DeclareMathSymbol{P}{\mathalpha}{\M@upper@font}{1044527}
    \DeclareMathSymbol{Q}{\mathalpha}{\M@upper@font}{1044528}
    \DeclareMathSymbol{R}{\mathalpha}{\M@upper@font}{1044529}
    \DeclareMathSymbol{S}{\mathalpha}{\M@upper@font}{1044530}
    \DeclareMathSymbol{T}{\mathalpha}{\M@upper@font}{1044531}
    \DeclareMathSymbol{U}{\mathalpha}{\M@upper@font}{1044532}
    \DeclareMathSymbol{V}{\mathalpha}{\M@upper@font}{1044533}
    \DeclareMathSymbol{W}{\mathalpha}{\M@upper@font}{1044534}
    \DeclareMathSymbol{X}{\mathalpha}{\M@upper@font}{1044535}
    \DeclareMathSymbol{Y}{\mathalpha}{\M@upper@font}{1044536}
    \DeclareMathSymbol{Z}{\mathalpha}{\M@upper@font}{1044537}}
\else
  \def\M@upper@set{%
    \edef\M@upper@font{M\M@uppershape\@tempa}
    \DeclareMathSymbol{A}{\mathalpha}{\M@upper@font}{`A}
    \DeclareMathSymbol{B}{\mathalpha}{\M@upper@font}{`B}
    \DeclareMathSymbol{C}{\mathalpha}{\M@upper@font}{`C}
    \DeclareMathSymbol{D}{\mathalpha}{\M@upper@font}{`D}
    \DeclareMathSymbol{E}{\mathalpha}{\M@upper@font}{`E}
    \DeclareMathSymbol{F}{\mathalpha}{\M@upper@font}{`F}
    \DeclareMathSymbol{G}{\mathalpha}{\M@upper@font}{`G}
    \DeclareMathSymbol{H}{\mathalpha}{\M@upper@font}{`H}
    \DeclareMathSymbol{I}{\mathalpha}{\M@upper@font}{`I}
    \DeclareMathSymbol{J}{\mathalpha}{\M@upper@font}{`J}
    \DeclareMathSymbol{K}{\mathalpha}{\M@upper@font}{`K}
    \DeclareMathSymbol{L}{\mathalpha}{\M@upper@font}{`L}
    \DeclareMathSymbol{M}{\mathalpha}{\M@upper@font}{`M}
    \DeclareMathSymbol{N}{\mathalpha}{\M@upper@font}{`N}
    \DeclareMathSymbol{O}{\mathalpha}{\M@upper@font}{`O}
    \DeclareMathSymbol{P}{\mathalpha}{\M@upper@font}{`P}
    \DeclareMathSymbol{Q}{\mathalpha}{\M@upper@font}{`Q}
    \DeclareMathSymbol{R}{\mathalpha}{\M@upper@font}{`R}
    \DeclareMathSymbol{S}{\mathalpha}{\M@upper@font}{`S}
    \DeclareMathSymbol{T}{\mathalpha}{\M@upper@font}{`T}
    \DeclareMathSymbol{U}{\mathalpha}{\M@upper@font}{`U}
    \DeclareMathSymbol{V}{\mathalpha}{\M@upper@font}{`V}
    \DeclareMathSymbol{W}{\mathalpha}{\M@upper@font}{`W}
    \DeclareMathSymbol{X}{\mathalpha}{\M@upper@font}{`X}
    \DeclareMathSymbol{Y}{\mathalpha}{\M@upper@font}{`Y}
    \DeclareMathSymbol{Z}{\mathalpha}{\M@upper@font}{`Z}}
\fi
%    \end{macrocode}
% Set lower-case Latin characters.\indexpage{keywordlower=keyword \texttt{lower}}
%    \begin{macrocode}
\ifM@adjust@font
  \def\M@lower@set{%
    \edef\M@lower@font{M\M@lowershape\@tempa}
    \DeclareMathSymbol{a}{\mathalpha}{\M@lower@font}{1044480}
    \DeclareMathSymbol{b}{\mathalpha}{\M@lower@font}{1044481}
    \DeclareMathSymbol{c}{\mathalpha}{\M@lower@font}{1044482}
    \DeclareMathSymbol{d}{\mathalpha}{\M@lower@font}{1044483}
    \DeclareMathSymbol{e}{\mathalpha}{\M@lower@font}{1044484}
    \DeclareMathSymbol{f}{\mathalpha}{\M@lower@font}{1044485}
    \DeclareMathSymbol{g}{\mathalpha}{\M@lower@font}{1044486}
    \DeclareMathSymbol{h}{\mathalpha}{\M@lower@font}{1044487}
    \DeclareMathSymbol{i}{\mathalpha}{\M@lower@font}{1044488}
    \DeclareMathSymbol{j}{\mathalpha}{\M@lower@font}{1044489}
    \DeclareMathSymbol{k}{\mathalpha}{\M@lower@font}{1044490}
    \DeclareMathSymbol{l}{\mathalpha}{\M@lower@font}{1044491}
    \DeclareMathSymbol{m}{\mathalpha}{\M@lower@font}{1044492}
    \DeclareMathSymbol{n}{\mathalpha}{\M@lower@font}{1044493}
    \DeclareMathSymbol{o}{\mathalpha}{\M@lower@font}{1044494}
    \DeclareMathSymbol{p}{\mathalpha}{\M@lower@font}{1044495}
    \DeclareMathSymbol{q}{\mathalpha}{\M@lower@font}{1044496}
    \DeclareMathSymbol{r}{\mathalpha}{\M@lower@font}{1044497}
    \DeclareMathSymbol{s}{\mathalpha}{\M@lower@font}{1044498}
    \DeclareMathSymbol{t}{\mathalpha}{\M@lower@font}{1044499}
    \DeclareMathSymbol{u}{\mathalpha}{\M@lower@font}{1044500}
    \DeclareMathSymbol{v}{\mathalpha}{\M@lower@font}{1044501}
    \DeclareMathSymbol{w}{\mathalpha}{\M@lower@font}{1044502}
    \DeclareMathSymbol{x}{\mathalpha}{\M@lower@font}{1044503}
    \DeclareMathSymbol{y}{\mathalpha}{\M@lower@font}{1044504}
    \DeclareMathSymbol{z}{\mathalpha}{\M@lower@font}{1044505}
    \DeclareMathSymbol{\imath}{\mathalpha}{\M@lower@font}{1044506}
    \DeclareMathSymbol{\jmath}{\mathalpha}{\M@lower@font}{1044507}
    \DeclareMathSymbol{\hbar}{\mathord}{\M@lower@font}{"127}}
\else
  \def\M@lower@set{%
    \edef\M@lower@font{M\M@lowershape\@tempa}
    \DeclareMathSymbol{a}{\mathalpha}{\M@lower@font}{`a}
    \DeclareMathSymbol{b}{\mathalpha}{\M@lower@font}{`b}
    \DeclareMathSymbol{c}{\mathalpha}{\M@lower@font}{`c}
    \DeclareMathSymbol{d}{\mathalpha}{\M@lower@font}{`d}
    \DeclareMathSymbol{e}{\mathalpha}{\M@lower@font}{`e}
    \DeclareMathSymbol{f}{\mathalpha}{\M@lower@font}{`f}
    \DeclareMathSymbol{g}{\mathalpha}{\M@lower@font}{`g}
    \DeclareMathSymbol{h}{\mathalpha}{\M@lower@font}{`h}
    \DeclareMathSymbol{i}{\mathalpha}{\M@lower@font}{`i}
    \DeclareMathSymbol{j}{\mathalpha}{\M@lower@font}{`j}
    \DeclareMathSymbol{k}{\mathalpha}{\M@lower@font}{`k}
    \DeclareMathSymbol{l}{\mathalpha}{\M@lower@font}{`l}
    \DeclareMathSymbol{m}{\mathalpha}{\M@lower@font}{`m}
    \DeclareMathSymbol{n}{\mathalpha}{\M@lower@font}{`n}
    \DeclareMathSymbol{o}{\mathalpha}{\M@lower@font}{`o}
    \DeclareMathSymbol{p}{\mathalpha}{\M@lower@font}{`p}
    \DeclareMathSymbol{q}{\mathalpha}{\M@lower@font}{`q}
    \DeclareMathSymbol{r}{\mathalpha}{\M@lower@font}{`r}
    \DeclareMathSymbol{s}{\mathalpha}{\M@lower@font}{`s}
    \DeclareMathSymbol{t}{\mathalpha}{\M@lower@font}{`t}
    \DeclareMathSymbol{u}{\mathalpha}{\M@lower@font}{`u}
    \DeclareMathSymbol{v}{\mathalpha}{\M@lower@font}{`v}
    \DeclareMathSymbol{w}{\mathalpha}{\M@lower@font}{`w}
    \DeclareMathSymbol{x}{\mathalpha}{\M@lower@font}{`x}
    \DeclareMathSymbol{y}{\mathalpha}{\M@lower@font}{`y}
    \DeclareMathSymbol{z}{\mathalpha}{\M@lower@font}{`z}
    \DeclareMathSymbol{\imath}{\mathalpha}{\M@lower@font}{"131}
    \DeclareMathSymbol{\jmath}{\mathalpha}{\M@lower@font}{"237}
    \DeclareMathSymbol{\hbar}{\mathord}{\M@lower@font}{"127}}
\fi
%    \end{macrocode}
% Set diacritics.\indexpage{keyworddiacritics=keyword \texttt{diacritics}}
%    \begin{macrocode}
\def\M@diacritics@set{%
  \edef\M@diacritics@font{M\M@diacriticsshape\@tempa}
  \DeclareMathAccent{\acute}{\mathalpha}{\M@diacritics@font}{"B4}
  \DeclareMathAccent{\aacute}{\mathalpha}{\M@diacritics@font}{"2DD}
  \DeclareMathAccent{\dot}{\mathalpha}{\M@diacritics@font}{"2D9}
  \DeclareMathAccent{\ddot}{\mathalpha}{\M@diacritics@font}{"A8}
  \DeclareMathAccent{\grave}{\mathalpha}{\M@diacritics@font}{"60}
  \DeclareMathAccent{\breve}{\mathalpha}{\M@diacritics@font}{"2D8}
  \DeclareMathAccent{\hat}{\mathalpha}{\M@diacritics@font}{"2C6}
  \DeclareMathAccent{\check}{\mathalpha}{\M@diacritics@font}{"2C7}
  \DeclareMathAccent{\bar}{\mathalpha}{\M@diacritics@font}{"2C9}
  \DeclareMathAccent{\mathring}{\mathalpha}{\M@diacritics@font}{"2DA}
  \DeclareMathAccent{\tilde}{\mathalpha}{\M@diacritics@font}{"2DC}}
%    \end{macrocode}
% Set capital Greek characters.\indexpage{keywordgreeklower=keyword \texttt{greekupper}}
%    \begin{macrocode}
\def\M@greekupper@set{%
  \edef\M@greekupper@font{M\M@greekuppershape\@tempa}
  \DeclareMathSymbol{\Alpha}{\mathalpha}{\M@greekupper@font}{"391}
  \DeclareMathSymbol{\Beta}{\mathalpha}{\M@greekupper@font}{"392}
  \DeclareMathSymbol{\Gamma}{\mathalpha}{\M@greekupper@font}{"393}
  \DeclareMathSymbol{\Delta}{\mathalpha}{\M@greekupper@font}{"394}
  \DeclareMathSymbol{\Epsilon}{\mathalpha}{\M@greekupper@font}{"395}
  \DeclareMathSymbol{\Zeta}{\mathalpha}{\M@greekupper@font}{"396}
  \DeclareMathSymbol{\Eta}{\mathalpha}{\M@greekupper@font}{"397}
  \DeclareMathSymbol{\Theta}{\mathalpha}{\M@greekupper@font}{"398}
  \DeclareMathSymbol{\Iota}{\mathalpha}{\M@greekupper@font}{"399}
  \DeclareMathSymbol{\Kappa}{\mathalpha}{\M@greekupper@font}{"39A}
  \DeclareMathSymbol{\Lambda}{\mathalpha}{\M@greekupper@font}{"39B}
  \DeclareMathSymbol{\Mu}{\mathalpha}{\M@greekupper@font}{"39C}
  \DeclareMathSymbol{\Nu}{\mathalpha}{\M@greekupper@font}{"39D}
  \DeclareMathSymbol{\Xi}{\mathalpha}{\M@greekupper@font}{"39E}
  \DeclareMathSymbol{\Omicron}{\mathalpha}{\M@greekupper@font}{"39F}
  \DeclareMathSymbol{\Pi}{\mathalpha}{\M@greekupper@font}{"3A0}
  \DeclareMathSymbol{\Rho}{\mathalpha}{\M@greekupper@font}{"3A1}
  \DeclareMathSymbol{\Sigma}{\mathalpha}{\M@greekupper@font}{"3A3}
  \DeclareMathSymbol{\Tau}{\mathalpha}{\M@greekupper@font}{"3A4}
  \DeclareMathSymbol{\Upsilon}{\mathalpha}{\M@greekupper@font}{"3A5}
  \DeclareMathSymbol{\Phi}{\mathalpha}{\M@greekupper@font}{"3A6}
  \DeclareMathSymbol{\Chi}{\mathalpha}{\M@greekupper@font}{"3A7}
  \DeclareMathSymbol{\Psi}{\mathalpha}{\M@greekupper@font}{"3A8}
  \DeclareMathSymbol{\Omega}{\mathalpha}{\M@greekupper@font}{"3A9}
  \DeclareMathSymbol{\varTheta}{\mathalpha}{\M@greekupper@font}{"3F4}
%    \end{macrocode}
% Declare |\increment| and |\nabla| if they haven't already been declared in the |symbols| or |extsymbols| fonts.
%    \begin{macrocode}
  \ifM@adjust@font
    \ifM@symbols\else
      \DeclareMathSymbol{\increment}{\mathord}{\M@greekupper@font}{"2206}
      \DeclareMathSymbol{\nabla}{\mathord}{\M@greekupper@font}{"2207}
    \fi
  \else
    \ifM@symbols\else
      \DeclareMathSymbol{\increment}{\mathord}{\M@greekupper@font}{"2206}
    \fi
    \ifM@extsymbols\else
      \DeclareMathSymbol{\nabla}{\mathord}{\M@greekupper@font}{"2207}
    \fi
  \fi}
%    \end{macrocode}
% Set minuscule Greek characters.\indexpage{keywordgreeklower=keyword \texttt{greeklower}}
%    \begin{macrocode}
\def\M@greeklower@set{%
  \edef\M@greeklower@font{M\M@greeklowershape\@tempa}
  \DeclareMathSymbol{\alpha}{\mathalpha}{\M@greeklower@font}{"3B1}
  \DeclareMathSymbol{\beta}{\mathalpha}{\M@greeklower@font}{"3B2}
  \DeclareMathSymbol{\gamma}{\mathalpha}{\M@greeklower@font}{"3B3}
  \DeclareMathSymbol{\delta}{\mathalpha}{\M@greeklower@font}{"3B4}
  \DeclareMathSymbol{\epsilon}{\mathalpha}{\M@greeklower@font}{"3B5}
  \DeclareMathSymbol{\zeta}{\mathalpha}{\M@greeklower@font}{"3B6}
  \DeclareMathSymbol{\eta}{\mathalpha}{\M@greeklower@font}{"3B7}
  \DeclareMathSymbol{\theta}{\mathalpha}{\M@greeklower@font}{"3B8}
  \DeclareMathSymbol{\iota}{\mathalpha}{\M@greeklower@font}{"3B9}
  \DeclareMathSymbol{\kappa}{\mathalpha}{\M@greeklower@font}{"3BA}
  \DeclareMathSymbol{\lambda}{\mathalpha}{\M@greeklower@font}{"3BB}
  \DeclareMathSymbol{\mu}{\mathalpha}{\M@greeklower@font}{"3BC}
  \DeclareMathSymbol{\nu}{\mathalpha}{\M@greeklower@font}{"3BD}
  \DeclareMathSymbol{\xi}{\mathalpha}{\M@greeklower@font}{"3BE}
  \DeclareMathSymbol{\omicron}{\mathalpha}{\M@greeklower@font}{"3BF}
  \DeclareMathSymbol{\pi}{\mathalpha}{\M@greeklower@font}{"3C0}
  \DeclareMathSymbol{\rho}{\mathalpha}{\M@greeklower@font}{"3C1}
  \DeclareMathSymbol{\sigma}{\mathalpha}{\M@greeklower@font}{"3C3}
  \DeclareMathSymbol{\tau}{\mathalpha}{\M@greeklower@font}{"3C4}
  \DeclareMathSymbol{\upsilon}{\mathalpha}{\M@greeklower@font}{"3C5}
  \DeclareMathSymbol{\phi}{\mathalpha}{\M@greeklower@font}{"3C6}
  \DeclareMathSymbol{\chi}{\mathalpha}{\M@greeklower@font}{"3C7}
  \DeclareMathSymbol{\psi}{\mathalpha}{\M@greeklower@font}{"3C8}
  \DeclareMathSymbol{\omega}{\mathalpha}{\M@greeklower@font}{"3C9}
  \DeclareMathSymbol{\varbeta}{\mathalpha}{\M@greeklower@font}{"3D0}
  \DeclareMathSymbol{\varepsilon}{\mathalpha}{\M@greeklower@font}{"3F5}
  \DeclareMathSymbol{\varkappa}{\mathalpha}{\M@greeklower@font}{"3F0}
  \DeclareMathSymbol{\vartheta}{\mathalpha}{\M@greeklower@font}{"3D1}
  \DeclareMathSymbol{\varrho}{\mathalpha}{\M@greeklower@font}{"3F1}
  \DeclareMathSymbol{\varsigma}{\mathalpha}{\M@greeklower@font}{"3C2}
  \DeclareMathSymbol{\varphi}{\mathalpha}{\M@greeklower@font}{"3D5}}
%    \end{macrocode}
% Set capital ancient Greek characters.\indexpage{keywordagreekupper=keyword \texttt{agreekupper}}
%    \begin{macrocode}
\def\M@agreekupper@set{%
  \edef\M@agreekupper@font{M\M@agreekuppershape\@tempa}
  \DeclareMathSymbol{\Heta}{\mathalpha}{\M@agreekupper@font}{"370}
  \DeclareMathSymbol{\Sampi}{\mathalpha}{\M@agreekupper@font}{"3E0}
  \DeclareMathSymbol{\Digamma}{\mathalpha}{\M@agreekupper@font}{"3DC}
  \DeclareMathSymbol{\Koppa}{\mathalpha}{\M@agreekupper@font}{"3D8}
  \DeclareMathSymbol{\Stigma}{\mathalpha}{\M@agreekupper@font}{"3DA}
  \DeclareMathSymbol{\Sho}{\mathalpha}{\M@agreekupper@font}{"3F7}
  \DeclareMathSymbol{\San}{\mathalpha}{\M@agreekupper@font}{"3FA}
  \DeclareMathSymbol{\varSampi}{\mathalpha}{\M@agreekupper@font}{"372}
  \DeclareMathSymbol{\varDigamma}{\mathalpha}{\M@agreekupper@font}{"376}
  \DeclareMathSymbol{\varKoppa}{\mathalpha}{\M@agreekupper@font}{"3DE}}
%    \end{macrocode}
% Set minuscule ancient Greek characters.\indexpage{keywordagreeklower=keyword \texttt{agreeklower}}
%    \begin{macrocode}
\def\M@agreeklower@set{%
  \edef\M@agreeklower@font{M\M@agreeklowershape\@tempa}
  \DeclareMathSymbol{\heta}{\mathalpha}{\M@agreeklower@font}{"371}
  \DeclareMathSymbol{\sampi}{\mathalpha}{\M@agreeklower@font}{"3E1}
  \DeclareMathSymbol{\digamma}{\mathalpha}{\M@agreeklower@font}{"3DD}
  \DeclareMathSymbol{\koppa}{\mathalpha}{\M@agreeklower@font}{"3D9}
  \DeclareMathSymbol{\stigma}{\mathalpha}{\M@agreeklower@font}{"3DB}
  \DeclareMathSymbol{\sho}{\mathalpha}{\M@agreeklower@font}{"3F8}
  \DeclareMathSymbol{\san}{\mathalpha}{\M@agreeklower@font}{"3FB}
  \DeclareMathSymbol{\varsampi}{\mathalpha}{\M@agreeklower@font}{"373}
  \DeclareMathSymbol{\vardigamma}{\mathalpha}{\M@agreeklower@font}{"377}
  \DeclareMathSymbol{\varkoppa}{\mathalpha}{\M@agreeklower@font}{"3DF}}
%    \end{macrocode}
% Set capital Cyrillic characters.\indexpage{keywordcyrillicupper=keyword \texttt{cyrillicupper}}
%    \begin{macrocode}
\def\M@cyrillicupper@set{%
  \edef\M@cyrillicupper@font{M\M@cyrillicuppershape\@tempa}
  \DeclareMathSymbol{\cyrA}{\mathalpha}{\M@cyrillicupper@font}{"410}
  \DeclareMathSymbol{\cyrBe}{\mathalpha}{\M@cyrillicupper@font}{"411}
  \DeclareMathSymbol{\cyrVe}{\mathalpha}{\M@cyrillicupper@font}{"412}
  \DeclareMathSymbol{\cyrGhe}{\mathalpha}{\M@cyrillicupper@font}{"413}
  \DeclareMathSymbol{\cyrDe}{\mathalpha}{\M@cyrillicupper@font}{"414}
  \DeclareMathSymbol{\cyrIe}{\mathalpha}{\M@cyrillicupper@font}{"415}
  \DeclareMathSymbol{\cyrZhe}{\mathalpha}{\M@cyrillicupper@font}{"416}
  \DeclareMathSymbol{\cyrZe}{\mathalpha}{\M@cyrillicupper@font}{"417}
  \DeclareMathSymbol{\cyrI}{\mathalpha}{\M@cyrillicupper@font}{"418}
  \DeclareMathSymbol{\cyrKa}{\mathalpha}{\M@cyrillicupper@font}{"41A}
  \DeclareMathSymbol{\cyrEl}{\mathalpha}{\M@cyrillicupper@font}{"41B}
  \DeclareMathSymbol{\cyrEm}{\mathalpha}{\M@cyrillicupper@font}{"41C}
  \DeclareMathSymbol{\cyrEn}{\mathalpha}{\M@cyrillicupper@font}{"41D}
  \DeclareMathSymbol{\cyrO}{\mathalpha}{\M@cyrillicupper@font}{"41E}
  \DeclareMathSymbol{\cyrPe}{\mathalpha}{\M@cyrillicupper@font}{"41F}
  \DeclareMathSymbol{\cyrEr}{\mathalpha}{\M@cyrillicupper@font}{"420}
  \DeclareMathSymbol{\cyrEs}{\mathalpha}{\M@cyrillicupper@font}{"421}
  \DeclareMathSymbol{\cyrTe}{\mathalpha}{\M@cyrillicupper@font}{"422}
  \DeclareMathSymbol{\cyrU}{\mathalpha}{\M@cyrillicupper@font}{"423}
  \DeclareMathSymbol{\cyrEf}{\mathalpha}{\M@cyrillicupper@font}{"424}
  \DeclareMathSymbol{\cyrHa}{\mathalpha}{\M@cyrillicupper@font}{"425}
  \DeclareMathSymbol{\cyrTse}{\mathalpha}{\M@cyrillicupper@font}{"426}
  \DeclareMathSymbol{\cyrChe}{\mathalpha}{\M@cyrillicupper@font}{"427}
  \DeclareMathSymbol{\cyrSha}{\mathalpha}{\M@cyrillicupper@font}{"428}
  \DeclareMathSymbol{\cyrShcha}{\mathalpha}{\M@cyrillicupper@font}{"429}
  \DeclareMathSymbol{\cyrHard}{\mathalpha}{\M@cyrillicupper@font}{"42A}
  \DeclareMathSymbol{\cyrYeru}{\mathalpha}{\M@cyrillicupper@font}{"42B}
  \DeclareMathSymbol{\cyrSoft}{\mathalpha}{\M@cyrillicupper@font}{"42C}
  \DeclareMathSymbol{\cyrE}{\mathalpha}{\M@cyrillicupper@font}{"42D}
  \DeclareMathSymbol{\cyrYu}{\mathalpha}{\M@cyrillicupper@font}{"42E}
  \DeclareMathSymbol{\cyrYa}{\mathalpha}{\M@cyrillicupper@font}{"42F}
  \DeclareMathSymbol{\cyrvarI}{\mathalpha}{\M@cyrillicupper@font}{"419}}
%    \end{macrocode}
% Set minuscule Cyrillic characters.\indexpage{keywordcyrilliclower=keyword \texttt{cyrilliclower}}
%    \begin{macrocode}
\def\M@cyrilliclower@set{%
  \edef\M@cyrilliclower@font{M\M@cyrilliclowershape\@tempa}
  \DeclareMathSymbol{\cyra}{\mathalpha}{\M@cyrilliclower@font}{"430}
  \DeclareMathSymbol{\cyrbe}{\mathalpha}{\M@cyrilliclower@font}{"431}
  \DeclareMathSymbol{\cyrve}{\mathalpha}{\M@cyrilliclower@font}{"432}
  \DeclareMathSymbol{\cyrghe}{\mathalpha}{\M@cyrilliclower@font}{"433}
  \DeclareMathSymbol{\cyrde}{\mathalpha}{\M@cyrilliclower@font}{"434}
  \DeclareMathSymbol{\cyrie}{\mathalpha}{\M@cyrilliclower@font}{"435}
  \DeclareMathSymbol{\cyrzhe}{\mathalpha}{\M@cyrilliclower@font}{"436}
  \DeclareMathSymbol{\cyrze}{\mathalpha}{\M@cyrilliclower@font}{"437}
  \DeclareMathSymbol{\cyri}{\mathalpha}{\M@cyrilliclower@font}{"438}
  \DeclareMathSymbol{\cyrka}{\mathalpha}{\M@cyrilliclower@font}{"43A}
  \DeclareMathSymbol{\cyrel}{\mathalpha}{\M@cyrilliclower@font}{"43B}
  \DeclareMathSymbol{\cyrem}{\mathalpha}{\M@cyrilliclower@font}{"43C}
  \DeclareMathSymbol{\cyren}{\mathalpha}{\M@cyrilliclower@font}{"43D}
  \DeclareMathSymbol{\cyro}{\mathalpha}{\M@cyrilliclower@font}{"43E}
  \DeclareMathSymbol{\cyrpe}{\mathalpha}{\M@cyrilliclower@font}{"43F}
  \DeclareMathSymbol{\cyrer}{\mathalpha}{\M@cyrilliclower@font}{"440}
  \DeclareMathSymbol{\cyres}{\mathalpha}{\M@cyrilliclower@font}{"441}
  \DeclareMathSymbol{\cyrte}{\mathalpha}{\M@cyrilliclower@font}{"442}
  \DeclareMathSymbol{\cyru}{\mathalpha}{\M@cyrilliclower@font}{"443}
  \DeclareMathSymbol{\cyref}{\mathalpha}{\M@cyrilliclower@font}{"444}
  \DeclareMathSymbol{\cyrha}{\mathalpha}{\M@cyrilliclower@font}{"445}
  \DeclareMathSymbol{\cyrtse}{\mathalpha}{\M@cyrilliclower@font}{"446}
  \DeclareMathSymbol{\cyrche}{\mathalpha}{\M@cyrilliclower@font}{"447}
  \DeclareMathSymbol{\cyrsha}{\mathalpha}{\M@cyrilliclower@font}{"448}
  \DeclareMathSymbol{\cyrshcha}{\mathalpha}{\M@cyrilliclower@font}{"449}
  \DeclareMathSymbol{\cyrhard}{\mathalpha}{\M@cyrilliclower@font}{"44A}
  \DeclareMathSymbol{\cyryeru}{\mathalpha}{\M@cyrilliclower@font}{"44B}
  \DeclareMathSymbol{\cyrsoft}{\mathalpha}{\M@cyrilliclower@font}{"44C}
  \DeclareMathSymbol{\cyre}{\mathalpha}{\M@cyrilliclower@font}{"44D}
  \DeclareMathSymbol{\cyryu}{\mathalpha}{\M@cyrilliclower@font}{"44E}
  \DeclareMathSymbol{\cyrya}{\mathalpha}{\M@cyrilliclower@font}{"44F}
  \DeclareMathSymbol{\cyrvari}{\mathalpha}{\M@cyrilliclower@font}{"439}}
%    \end{macrocode}
% Set Hebrew characters.\indexpage{keywordhebrew=keyword \texttt{hebrew}}
%    \begin{macrocode}
\def\M@hebrew@set{%
  \edef\M@hebrew@font{M\M@hebrewshape\@tempa}
  \DeclareMathSymbol{\aleph}{\mathalpha}{\M@hebrew@font}{"5D0}
  \DeclareMathSymbol{\beth}{\mathalpha}{\M@hebrew@font}{"5D1}
  \DeclareMathSymbol{\gimel}{\mathalpha}{\M@hebrew@font}{"5D2}
  \DeclareMathSymbol{\daleth}{\mathalpha}{\M@hebrew@font}{"5D3}
  \DeclareMathSymbol{\he}{\mathalpha}{\M@hebrew@font}{"5D4}
  \DeclareMathSymbol{\vav}{\mathalpha}{\M@hebrew@font}{"5D5}
  \DeclareMathSymbol{\zayin}{\mathalpha}{\M@hebrew@font}{"5D6}
  \DeclareMathSymbol{\het}{\mathalpha}{\M@hebrew@font}{"5D7}
  \DeclareMathSymbol{\tet}{\mathalpha}{\M@hebrew@font}{"5D8}
  \DeclareMathSymbol{\yod}{\mathalpha}{\M@hebrew@font}{"5D9}
  \DeclareMathSymbol{\kaf}{\mathalpha}{\M@hebrew@font}{"5DB}
  \DeclareMathSymbol{\lamed}{\mathalpha}{\M@hebrew@font}{"5DC}
  \DeclareMathSymbol{\mem}{\mathalpha}{\M@hebrew@font}{"5DE}
  \DeclareMathSymbol{\nun}{\mathalpha}{\M@hebrew@font}{"5E0}
  \DeclareMathSymbol{\samekh}{\mathalpha}{\M@hebrew@font}{"5E1}
  \DeclareMathSymbol{\ayin}{\mathalpha}{\M@hebrew@font}{"5E2}
  \DeclareMathSymbol{\pe}{\mathalpha}{\M@hebrew@font}{"5E4}
  \DeclareMathSymbol{\tsadi}{\mathalpha}{\M@hebrew@font}{"5E6}
  \DeclareMathSymbol{\qof}{\mathalpha}{\M@hebrew@font}{"5E7}
  \DeclareMathSymbol{\resh}{\mathalpha}{\M@hebrew@font}{"5E8}
  \DeclareMathSymbol{\shin}{\mathalpha}{\M@hebrew@font}{"5E9}
  \DeclareMathSymbol{\tav}{\mathalpha}{\M@hebrew@font}{"5EA}
  \DeclareMathSymbol{\varkaf}{\mathalpha}{\M@hebrew@font}{"5DA}
  \DeclareMathSymbol{\varmem}{\mathalpha}{\M@hebrew@font}{"5DD}
  \DeclareMathSymbol{\varnun}{\mathalpha}{\M@hebrew@font}{"5DF}
  \DeclareMathSymbol{\varpe}{\mathalpha}{\M@hebrew@font}{"5E3}
  \DeclareMathSymbol{\vartsadi}{\mathalpha}{\M@hebrew@font}{"5E5}}
%    \end{macrocode}
% Set digits.\indexpage{keyworddigits=keyword \texttt{digits}}
%    \begin{macrocode}
\def\M@digits@set{%
  \edef\M@digits@font{M\M@digitsshape\@tempa}
  \DeclareMathSymbol{0}{\mathalpha}{\M@digits@font}{`0}
  \DeclareMathSymbol{1}{\mathalpha}{\M@digits@font}{`1}
  \DeclareMathSymbol{2}{\mathalpha}{\M@digits@font}{`2}
  \DeclareMathSymbol{3}{\mathalpha}{\M@digits@font}{`3}
  \DeclareMathSymbol{4}{\mathalpha}{\M@digits@font}{`4}
  \DeclareMathSymbol{5}{\mathalpha}{\M@digits@font}{`5}
  \DeclareMathSymbol{6}{\mathalpha}{\M@digits@font}{`6}
  \DeclareMathSymbol{7}{\mathalpha}{\M@digits@font}{`7}
  \DeclareMathSymbol{8}{\mathalpha}{\M@digits@font}{`8}
  \DeclareMathSymbol{9}{\mathalpha}{\M@digits@font}{`9}}
%    \end{macrocode}
% Set new operator font.\indexpage{keywordoperator=keyword \texttt{operator}}
% If \textsf{mathfont} is set to adjust fonts, we will have a problem when typesetting operators because the |\operator@font| will pull modified (lengthened) letters from the operator font. Traditional \TeX\ addressed this problem by storing the Latin letters for math in the same endoding slots but in a different font from Computer Modern Roman and switching to Computer Modern Roman. Here we want to use the same font but different encoding slots. The macro |\M@default@latin| changes all |\Umathcode|s of Latin letters from their big (lengthened) values to their original values. Because |\operator@font| is always called inside a group, we don't have to worry about messing up any other math.
%    \begin{macrocode}
\def\M@operator@set{%
  \ifM@adjust@font
    \edef\M@operator@num{\number\csname symM\M@operatorshape\@tempa\endcsname}
    \protected\edef\M@operator@mathcodes{%
      \Umathcode`A=7+\M@operator@num+`A\relax
      \Umathcode`B=7+\M@operator@num+`B\relax
      \Umathcode`C=7+\M@operator@num+`C\relax
      \Umathcode`D=7+\M@operator@num+`D\relax
      \Umathcode`E=7+\M@operator@num+`E\relax
      \Umathcode`F=7+\M@operator@num+`F\relax
      \Umathcode`G=7+\M@operator@num+`G\relax
      \Umathcode`H=7+\M@operator@num+`H\relax
      \Umathcode`I=7+\M@operator@num+`I\relax
      \Umathcode`J=7+\M@operator@num+`J\relax
      \Umathcode`K=7+\M@operator@num+`K\relax
      \Umathcode`L=7+\M@operator@num+`L\relax
      \Umathcode`M=7+\M@operator@num+`M\relax
      \Umathcode`N=7+\M@operator@num+`N\relax
      \Umathcode`O=7+\M@operator@num+`O\relax
      \Umathcode`P=7+\M@operator@num+`P\relax
      \Umathcode`Q=7+\M@operator@num+`Q\relax
      \Umathcode`R=7+\M@operator@num+`R\relax
      \Umathcode`S=7+\M@operator@num+`S\relax
      \Umathcode`T=7+\M@operator@num+`T\relax
      \Umathcode`U=7+\M@operator@num+`U\relax
      \Umathcode`V=7+\M@operator@num+`V\relax
      \Umathcode`W=7+\M@operator@num+`W\relax
      \Umathcode`X=7+\M@operator@num+`X\relax
      \Umathcode`Y=7+\M@operator@num+`Y\relax
      \Umathcode`Z=7+\M@operator@num+`Z\relax
      \Umathcode`a=7+\M@operator@num+`a\relax
      \Umathcode`b=7+\M@operator@num+`b\relax
      \Umathcode`c=7+\M@operator@num+`c\relax
      \Umathcode`d=7+\M@operator@num+`d\relax
      \Umathcode`e=7+\M@operator@num+`e\relax
      \Umathcode`f=7+\M@operator@num+`f\relax
      \Umathcode`g=7+\M@operator@num+`g\relax
      \Umathcode`h=7+\M@operator@num+`h\relax
      \Umathcode`i=7+\M@operator@num+`i\relax
      \Umathcode`j=7+\M@operator@num+`j\relax
      \Umathcode`k=7+\M@operator@num+`k\relax
      \Umathcode`l=7+\M@operator@num+`l\relax
      \Umathcode`m=7+\M@operator@num+`m\relax
      \Umathcode`n=7+\M@operator@num+`n\relax
      \Umathcode`o=7+\M@operator@num+`o\relax
      \Umathcode`p=7+\M@operator@num+`p\relax
      \Umathcode`q=7+\M@operator@num+`q\relax
      \Umathcode`r=7+\M@operator@num+`r\relax
      \Umathcode`s=7+\M@operator@num+`s\relax
      \Umathcode`t=7+\M@operator@num+`t\relax
      \Umathcode`u=7+\M@operator@num+`u\relax
      \Umathcode`v=7+\M@operator@num+`v\relax
      \Umathcode`w=7+\M@operator@num+`w\relax
      \Umathcode`x=7+\M@operator@num+`x\relax
      \Umathcode`y=7+\M@operator@num+`y\relax
      \Umathcode`z=7+\M@operator@num+`z\relax
      \Umathchardef\imath=7+\M@operator@num+1044506\relax
      \Umathchardef\jmath=7+\M@operator@num+1044500\relax}
  \else
    \let\M@operator@mathcodes\@empty
  \fi
%    \end{macrocode}
% Then we change the |\operator@font| definition and if necessary change the math codes.
%    \begin{macrocode}
  \xdef\operator@font{\noexpand\mathgroup
      \csname symM\M@operatorshape\@tempa\endcsname\M@operator@mathcodes}}
%    \end{macrocode}
% Set delimiters.\indexpage{keyworddelimiters=keyword \texttt{delimiters}}
%    \begin{macrocode}
\ifM@adjust@font
  \def\M@delimiters@set{%
    \edef\M@delimiters@font{M\M@delimitersshape\@tempa}
    \DeclareMathSymbol{(}{\mathopen}{\M@delimiters@font}{"28}
    \DeclareMathSymbol{)}{\mathclose}{\M@delimiters@font}{"29}
    \DeclareMathSymbol{[}{\mathopen}{\M@delimiters@font}{"5B}
    \DeclareMathSymbol{]}{\mathclose}{\M@delimiters@font}{"5D}
    \ifM@symbols\else
      \DeclareMathSymbol{|}{\mathord}{\M@delimiters@font}{"7C}
    \fi
    \DeclareMathSymbol{\leftbrace}{\mathopen}{\M@delimiters@font}{"7B}
    \DeclareMathSymbol{\rightbrace}{\mathclose}{\M@delimiters@font}{"7D}
    \global\Udelcode40=+\csname sym\M@delimiters@font\endcsname+40\relax % (
    \global\Udelcode41=+\csname sym\M@delimiters@font\endcsname+41\relax % )
    \global\Udelcode47=+\csname sym\M@delimiters@font\endcsname+47\relax % /
    \global\Udelcode91=+\csname sym\M@delimiters@font\endcsname+91\relax % [
    \global\Udelcode93=+\csname sym\M@delimiters@font\endcsname+93\relax % ]
    \global\Udelcode124=+\csname sym\M@delimiters@font\endcsname+124\relax % |
    \global\let\vert=|
    \protected\gdef\backslash{\ifmmode\mathbackslash\else\textbackslash\fi}
    \protected\xdef\mathbackslash{%
      \Udelimiter+2+\number\csname sym\M@delimiters@font\endcsname
        +92\relax} % backslash
    \protected\xdef\lbrace{%
      \Udelimiter+4+\number\csname sym\M@delimiters@font\endcsname
        +123\relax} % {
    \protected\xdef\rbrace{%
      \Udelimiter+5+\number\csname sym\M@delimiters@font\endcsname
        +125\relax} % }
    \protected\xdef\lguil{%
      \Udelimiter+4+\number\csname sym\M@delimiters@font\endcsname
        +8249\relax} % single left guilement
    \protected\xdef\rguil{%
      \Udelimiter+5+\number\csname sym\M@delimiters@font\endcsname
        +8250\relax} % single right guilement
    \protected\xdef\llguil{%
      \Udelimiter+4+\number\csname sym\M@delimiters@font\endcsname
        +171\relax} % double left guilement
    \protected\xdef\rrguil{%
      \Udelimiter+5+\number\csname sym\M@delimiters@font\endcsname
        +187\relax} % double right guilement
    \protected\xdef\fakelangle{%
      \Udelimiter+4+\number\csname sym\M@delimiters@font\endcsname
        +1044508\relax} % fake left angle
    \protected\xdef\fakerangle{%
      \Udelimiter+5+\number\csname sym\M@delimiters@font\endcsname
        +1044509\relax} % fake right angle
    \protected\xdef\fakellangle{%
      \Udelimiter+4+\number\csname sym\M@delimiters@font\endcsname
        +1044510\relax} % fake double left angle
    \protected\xdef\fakerrangle{%
      \Udelimiter+5+\number\csname sym\M@delimiters@font\endcsname
        +1044511\relax} % fake double right angle
    }
\else
  \def\M@delimiters@set{%
    \edef\M@delimiters@font{M\M@delimitersshape\@tempa}
    \DeclareMathSymbol{(}{\mathopen}{\M@delimiters@font}{"28}
    \DeclareMathSymbol{)}{\mathclose}{\M@delimiters@font}{"29}
    \DeclareMathSymbol{[}{\mathopen}{\M@delimiters@font}{"5B}
    \DeclareMathSymbol{]}{\mathclose}{\M@delimiters@font}{"5D}
    \DeclareMathSymbol{\lguil}{\mathopen}{\M@delimiters@font}{"2039}
    \DeclareMathSymbol{\rguil}{\mathclose}{\M@delimiters@font}{"203A}
    \DeclareMathSymbol{\llguil}{\mathopen}{\M@delimiters@font}{"AB}
    \DeclareMathSymbol{\rrguil}{\mathclose}{\M@delimiters@font}{"BB}
    \DeclareMathSymbol{\leftbrace}{\mathopen}{\M@delimiters@font}{"7B}
    \DeclareMathSymbol{\rightbrace}{\mathclose}{\M@delimiters@font}{"7D}}
\fi
%    \end{macrocode}
% Radicals.\indexpage{keywordradical=keyword \texttt{radical}}
%    \begin{macrocode}
\ifM@adjust@font
  \def\M@radical@set{%
    \edef\M@radical@font{M\M@radicalshape\@tempa}
    \DeclareMathSymbol{\surd}{\mathord}{\M@radical@font}{"221A}
    \xdef\@sqrts@gn##1{%
      \Uradical+\number\csname sym\M@radical@font\endcsname+8730\relax{##1}}
%    \end{macrocode}
% We redefine |\r@@t|, which typesets the degree symbol on an $n$th root. We set the placement so that right side of the box containing the degree lies 60\% of the horizontal distance across the surd symbol, and the baseline of the degree symbol is 60\% of the vertical distance up the surd.
% \indexpage{LaTeX kernel=\LaTeX\ kernel}
%    \begin{macrocode}
    \gdef\r@@t##1##2{%
      \setbox\z@\hbox{$\m@th##1\sqrtsign{##2}$}%
      \setbox\surdbox\hbox{$\m@th##1\@sqrts@gn{%
        \hbox{\vphantom{$\m@th##1##2$}}}$}
      \dimen@\ht\surdbox
      \advance\dimen@\dp\surdbox
      \dimen@=0.6\dimen@
      \advance\dimen@-\dp\surdbox
      \ifdim\wd\rootbox<0.6\wd\surdbox
        \kern0.6\wd\surdbox
      \else
        \kern\wd\rootbox
      \fi
      \raise\dimen@\hbox{\llap{\copy\rootbox}}
      \kern-0.6\wd\surdbox
      \box\z@}
    \gdef\sqrtsign##1{\@sqrts@gn{\mkern\radicandoffset##1}}}
\else
  \def\M@radical@set{%
    \edef\M@radical@font{M\M@radicalshape\@tempa}
    \DeclareMathSymbol{\surd}{\mathord}{\M@radical@font}{"221A}}
\fi
%    \end{macrocode}
% Big operators.\indexpage{keywordbigops=keyword \texttt{bigops}}
%    \begin{macrocode}
\def\M@bigops@set{%
  \edef\M@bigops@font{M\M@bigopsshape\@tempa}
  \let\sum\@undefined
  \let\prod\@undefined
  \DeclareMathSymbol{\sum}{\mathop}{\M@bigops@font}{"2211}
  \DeclareMathSymbol{\prod}{\mathop}{\M@bigops@font}{"220F}
  \DeclareMathSymbol{\intop}{\mathop}{\M@bigops@font}{"222B}}
%    \end{macrocode}
% Extended big operators.\indexpage{keywordextbigops=keyword \texttt{extbigops}}
%    \begin{macrocode}
\def\M@extbigops@set{%
  \edef\M@extbigops@font{M\M@extbigopsshape\@tempa}
  \let\coprod\@undefined
  \let\bigvee\@undefined
  \let\bigwedge\@undefined
  \let\bigcup\@undefined
  \let\bigcap\@undefined
  \let\bigoplus\@undefined
  \let\bigotimes\@undefined
  \let\bigodot\@undefined
  \let\bigsqcup\@undefined
  \DeclareMathSymbol{\coprod}{\mathop}{\M@extbigops@font}{"2210}
  \DeclareMathSymbol{\bigvee}{\mathop}{\M@extbigops@font}{"22C1}
  \DeclareMathSymbol{\bigwedge}{\mathop}{\M@extbigops@font}{"22C0}
  \DeclareMathSymbol{\bigcup}{\mathop}{\M@extbigops@font}{"22C3}
  \DeclareMathSymbol{\bigcap}{\mathop}{\M@extbigops@font}{"22C2}
  \DeclareMathSymbol{\iintop}{\mathop}{\M@extbigops@font}{"222C}
    \protected\gdef\iint{\iintop\nolimits}
  \DeclareMathSymbol{\iiintop}{\mathop}{\M@extbigops@font}{"222D}
    \protected\gdef\iiint{\iiintop\nolimits}
  \DeclareMathSymbol{\ointop}{\mathop}{\M@extbigops@font}{"222E}
    \protected\gdef\oint{\ointop\nolimits}
  \DeclareMathSymbol{\oiintop}{\mathop}{\M@extbigops@font}{"222F}
    \protected\gdef\oiint{\oiintop\nolimits}
  \DeclareMathSymbol{\oiiintop}{\mathop}{\M@extbigops@font}{"2230}
    \protected\gdef\oiiint{\oiiintop\nolimits}
  \DeclareMathSymbol{\bigoplus}{\mathop}{\M@extbigops@font}{"2A01}
  \DeclareMathSymbol{\bigotimes}{\mathop}{\M@extbigops@font}{"2A02}
  \DeclareMathSymbol{\bigodot}{\mathop}{\M@extbigops@font}{"2A00}
  \DeclareMathSymbol{\bigsqcap}{\mathop}{\M@extbigops@font}{"2A05}
  \DeclareMathSymbol{\bigsqcup}{\mathop}{\M@extbigops@font}{"2A06}}
%    \end{macrocode}
% Set symbols.\indexpage{keywordsymbols=keyword \texttt{symbols}}
%    \begin{macrocode}
\def\M@symbols@set{%
  \edef\M@symbols@font{M\M@symbolsshape\@tempa}
  \let\colon\@undefined
  \let\mathellipsis\@undefined
  \DeclareMathSymbol{.}{\mathord}{\M@symbols@font}{"2E}
  \DeclareMathSymbol{@}{\mathord}{\M@symbols@font}{"40}
  \DeclareMathSymbol{'}{\mathord}{\M@symbols@font}{"2032}
  \DeclareMathSymbol{\prime}{\mathord}{\M@symbols@font}{"2032}
  \DeclareMathSymbol{"}{\mathord}{\M@symbols@font}{"2033}
  \DeclareMathSymbol{\mathhash}{\mathord}{\M@symbols@font}{"23}
  \DeclareMathSymbol{\mathdollar}{\mathord}{\M@symbols@font}{"24}
  \DeclareMathSymbol{\mathpercent}{\mathord}{\M@symbols@font}{"25}
  \DeclareMathSymbol{\mathand}{\mathord}{\M@symbols@font}{"26}
  \DeclareMathSymbol{\mathparagraph}{\mathord}{\M@symbols@font}{"B6}
  \DeclareMathSymbol{\mathsection}{\mathord}{\M@symbols@font}{"A7}
  \DeclareMathSymbol{\mathsterling}{\mathord}{\M@symbols@font}{"A3}
  \DeclareMathSymbol{\neg}{\mathord}{\M@symbols@font}{"AC}
  \DeclareMathSymbol{|}{\mathord}{\M@symbols@font}{"7C}
  \DeclareMathSymbol{\infty}{\mathord}{\M@symbols@font}{"221E}
  \DeclareMathSymbol{\partial}{\mathord}{\M@symbols@font}{"2202}
  \DeclareMathSymbol{\degree}{\mathord}{\M@symbols@font}{"B0}
  \DeclareMathSymbol{\increment}{\mathord}{\M@symbols@font}{"2206}
  \DeclareMathSymbol{\comma}{\mathord}{\M@symbols@font}{"2C}
  \DeclareMathSymbol{+}{\mathbin}{\M@symbols@font}{"2B}
  \DeclareMathSymbol{-}{\mathbin}{\M@symbols@font}{"2212}
  \DeclareMathSymbol{*}{\mathbin}{\M@symbols@font}{"2A}
  \DeclareMathSymbol{\times}{\mathbin}{\M@symbols@font}{"D7}
  \DeclareMathSymbol{/}{\mathbin}{\M@symbols@font}{"2F}
  \DeclareMathSymbol{\fractionslash}{\mathbin}{\M@symbols@font}{"2215}
  \DeclareMathSymbol{\div}{\mathbin}{\M@symbols@font}{"F7}
  \DeclareMathSymbol{\pm}{\mathbin}{\M@symbols@font}{"B1}
  \DeclareMathSymbol{\bullet}{\mathbin}{\M@symbols@font}{"2022}
  \DeclareMathSymbol{\dagger}{\mathbin}{\M@symbols@font}{"2020}
  \DeclareMathSymbol{\ddagger}{\mathbin}{\M@symbols@font}{"2021}
  \DeclareMathSymbol{\cdot}{\mathbin}{\M@symbols@font}{"2219}
  \DeclareMathSymbol{\setminus}{\mathbin}{\M@symbols@font}{"5C}
  \DeclareMathSymbol{=}{\mathrel}{\M@symbols@font}{"3D}
  \DeclareMathSymbol{<}{\mathrel}{\M@symbols@font}{"3C}
  \DeclareMathSymbol{>}{\mathrel}{\M@symbols@font}{"3E}
  \DeclareMathSymbol{\leq}{\mathrel}{\M@symbols@font}{"2264}
  \DeclareMathSymbol{\geq}{\mathrel}{\M@symbols@font}{"2265}
  \DeclareMathSymbol{\sim}{\mathrel}{\M@symbols@font}{"7E}
  \DeclareMathSymbol{\approx}{\mathrel}{\M@symbols@font}{"2248}
  \DeclareMathSymbol{\equiv}{\mathrel}{\M@symbols@font}{"2261}
  \DeclareMathSymbol{\mid}{\mathrel}{\M@symbols@font}{"7C}
  \DeclareMathSymbol{\parallel}{\mathrel}{\M@symbols@font}{"2016}
  \DeclareMathSymbol{:}{\mathrel}{\M@symbols@font}{"3A}
  \DeclareMathSymbol{?}{\mathclose}{\M@symbols@font}{"3F}
  \DeclareMathSymbol{!}{\mathclose}{\M@symbols@font}{"21}
  \DeclareMathSymbol{,}{\mathpunct}{\M@symbols@font}{"2C}
  \DeclareMathSymbol{;}{\mathpunct}{\M@symbols@font}{"3B}
  \DeclareMathSymbol{\colon}{\mathord}{\M@symbols@font}{"3A}
  \DeclareMathSymbol{\mathellipsis}{\mathinner}{\M@symbols@font}{"2026}
%    \end{macrocode}
% Now a bit of housekeeping. We redefine |\#|, |\%|, and |\&| as robust commands that expand to previously declared |\mathhash|, etc.\ commands in math mode and retain their standard |\char| definitions otherwise. Other commands that function in both math and horizontal modes such as |\S| or |\dag| also use this technique. Then we define macros |\cong| and |\simeq|. The last three commands defined here preserve the Computer Modern font for charcters used in several math-mode symbols.\indexpage{robust commands}
%    \begin{macrocode}
  \protected\gdef\#{\ifmmode\mathhash\else\char"23\relax\fi}
  \protected\gdef\%{\ifmmode\mathpercent\else\char"25\relax\fi}
  \protected\gdef\&{\ifmmode\mathand\else\char"26\relax\fi}
  \DeclareMathSymbol{\@relbar}{\mathbin}{symbols}{"00}
  \DeclareMathSymbol{\@Relbar}{\mathrel}{operators}{"3D}
  \DeclareMathSymbol{\@verticalbar}{\mathord}{symbols}{"6A}
  \ifM@extsymbols\else
    \protected\gdef\simeq{\mathrel{\mathpalette\stack@flatrel{{-}{\sim}}}}
    \protected\gdef\cong{\mathrel{\mathpalette\stack@flatrel{{=}{\sim}}}}
  \fi
  \protected\gdef\relbar{\mathrel{\smash\@relbar}}
  \protected\gdef\Relbar{\mathrel{\@Relbar}}
  \protected\gdef\models{\mathrel{\@verticalbar}\joinrel\Relbar}
%    \end{macrocode}
% If the user enabled Lua-based font asjustments, we declare a few more big operators for fun. For brevity, we put the |adjust@font| conditional here rather than redefining |\M@symbols@set|.
%    \begin{macrocode}
  \ifM@adjust@font
    \DeclareMathSymbol{\bigat}{\mathop}{\M@symbols@font}{"40}
    \DeclareMathSymbol{\bighash}{\mathop}{\M@symbols@font}{"23}
    \DeclareMathSymbol{\bigdollar}{\mathop}{\M@symbols@font}{"24}
    \DeclareMathSymbol{\bigpercent}{\mathop}{\M@symbols@font}{"25}
    \DeclareMathSymbol{\bigand}{\mathop}{\M@symbols@font}{"26}
    \DeclareMathSymbol{\bigplus}{\mathop}{\M@symbols@font}{"2B}
    \DeclareMathSymbol{\bigp}{\mathop}{\M@symbols@font}{"21}
    \DeclareMathSymbol{\bigq}{\mathop}{\M@symbols@font}{"3F}
    \DeclareMathSymbol{\bigS}{\mathop}{\M@symbols@font}{"A7}
    \DeclareMathSymbol{\bigtimes}{\mathop}{\M@symbols@font}{"D7}
    \DeclareMathSymbol{\bigdiv}{\mathop}{\M@symbols@font}{"F7}
%    \end{macrocode}
% Define |\nabla| if we're adjusting the font. If not, this declaration will go in |extsymbols|.
%    \begin{macrocode}
    \DeclareMathSymbol{\nabla}{\mathord}{\M@symbols@font}{"2207}
  \fi}
%    \end{macrocode}
% Set extended symbols.\indexpage{keywordextsymbols=keyword \texttt{extsymbols}}
%    \begin{macrocode}
\def\M@extsymbols@set{%
  \edef\M@extsymbols@font{M\M@extsymbolsshape\@tempa}
  \let\angle\@undefined
  \let\simeq\@undefined
  \let\sqsubset\@undefined
  \let\sqsupset\@undefined
  \let\bowtie\@undefined
  \let\doteq\@undefined
  \let\neq\@undefined
  \let\ng\@undefined
  \DeclareMathSymbol{\wp}{\mathord}{\M@extsymbols@font}{"2118}
  \DeclareMathSymbol{\Re}{\mathord}{\M@extsymbols@font}{"211C}
  \DeclareMathSymbol{\Im}{\mathord}{\M@extsymbols@font}{"2111}
  \DeclareMathSymbol{\ell}{\mathord}{\M@extsymbols@font}{"2113}
  \DeclareMathSymbol{\forall}{\mathord}{\M@extsymbols@font}{"2200}
  \DeclareMathSymbol{\exists}{\mathord}{\M@extsymbols@font}{"2203}
  \DeclareMathSymbol{\emptyset}{\mathord}{\M@extsymbols@font}{"2205}
  \DeclareMathSymbol{\in}{\mathord}{\M@extsymbols@font}{"2208}
  \DeclareMathSymbol{\ni}{\mathord}{\M@extsymbols@font}{"220B}
  \DeclareMathSymbol{\mp}{\mathord}{\M@extsymbols@font}{"2213}
  \DeclareMathSymbol{\angle}{\mathord}{\M@extsymbols@font}{"2220}
  \DeclareMathSymbol{\top}{\mathord}{\M@extsymbols@font}{"22A4}
  \DeclareMathSymbol{\bot}{\mathord}{\M@extsymbols@font}{"22A5}
  \DeclareMathSymbol{\vdash}{\mathord}{\M@extsymbols@font}{"22A2}
  \DeclareMathSymbol{\dashv}{\mathord}{\M@extsymbols@font}{"22A3}
  \DeclareMathSymbol{\flat}{\mathord}{\M@extsymbols@font}{"266D}
  \DeclareMathSymbol{\natural}{\mathord}{\M@extsymbols@font}{"266E}
  \DeclareMathSymbol{\sharp}{\mathord}{\M@extsymbols@font}{"266F}
  \DeclareMathSymbol{\fflat}{\mathord}{\M@extsymbols@font}{"1D12B}
  \DeclareMathSymbol{\ssharp}{\mathord}{\M@extsymbols@font}{"1D12A}
  \DeclareMathSymbol{\bclubsuit}{\mathord}{\M@extsymbols@font}{"2663}
  \DeclareMathSymbol{\bdiamondsuit}{\mathord}{\M@extsymbols@font}{"2666}
  \DeclareMathSymbol{\bheartsuit}{\mathord}{\M@extsymbols@font}{"2665}
  \DeclareMathSymbol{\bspadesuit}{\mathord}{\M@extsymbols@font}{"2660}
  \DeclareMathSymbol{\wclubsuit}{\mathord}{\M@extsymbols@font}{"2667}
  \DeclareMathSymbol{\wdiamondsuit}{\mathord}{\M@extsymbols@font}{"2662}
  \DeclareMathSymbol{\wheartsuit}{\mathord}{\M@extsymbols@font}{"2661}
  \DeclareMathSymbol{\wspadesuit}{\mathord}{\M@extsymbols@font}{"2664}
    \global\let\spadesuit\bspadesuit
    \global\let\heartsuit\wheartsuit
    \global\let\diamondsuit\wdiamondsuit
    \global\let\clubsuit\bclubsuit
  \DeclareMathSymbol{\wedge}{\mathbin}{\M@extsymbols@font}{"2227}
  \DeclareMathSymbol{\vee}{\mathbin}{\M@extsymbols@font}{"2228}
  \DeclareMathSymbol{\cap}{\mathord}{\M@extsymbols@font}{"2229}
  \DeclareMathSymbol{\cup}{\mathbin}{\M@extsymbols@font}{"222A}
  \DeclareMathSymbol{\sqcap}{\mathbin}{\M@extsymbols@font}{"2293}
  \DeclareMathSymbol{\sqcup}{\mathbin}{\M@extsymbols@font}{"2294}
  \DeclareMathSymbol{\amalg}{\mathbin}{\M@extsymbols@font}{"2A3F}
  \DeclareMathSymbol{\wr}{\mathbin}{\M@extsymbols@font}{"2240}
  \DeclareMathSymbol{\ast}{\mathbin}{\M@extsymbols@font}{"2217}
  \DeclareMathSymbol{\star}{\mathbin}{\M@extsymbols@font}{"22C6}
  \DeclareMathSymbol{\diamond}{\mathbin}{\M@extsymbols@font}{"22C4}
  \DeclareMathSymbol{\varcdot}{\mathbin}{\M@extsymbols@font}{"22C5}
  \DeclareMathSymbol{\varsetminus}{\mathbin}{\M@extsymbols@font}{"2216}
  \DeclareMathSymbol{\oplus}{\mathbin}{\M@extsymbols@font}{"2295}
  \DeclareMathSymbol{\otimes}{\mathbin}{\M@extsymbols@font}{"2297}
  \DeclareMathSymbol{\ominus}{\mathbin}{\M@extsymbols@font}{"2296}
  \DeclareMathSymbol{\odiv}{\mathbin}{\M@extsymbols@font}{"2A38}
  \DeclareMathSymbol{\oslash}{\mathbin}{\M@extsymbols@font}{"2298}
  \DeclareMathSymbol{\odot}{\mathbin}{\M@extsymbols@font}{"2299}
  \DeclareMathSymbol{\sqplus}{\mathbin}{\M@extsymbols@font}{"229E}
  \DeclareMathSymbol{\sqtimes}{\mathbin}{\M@extsymbols@font}{"22A0}
  \DeclareMathSymbol{\sqminus}{\mathbin}{\M@extsymbols@font}{"229F}
  \DeclareMathSymbol{\sqdot}{\mathbin}{\M@extsymbols@font}{"22A1}  
  \DeclareMathSymbol{\in}{\mathrel}{\M@extsymbols@font}{"2208}
  \DeclareMathSymbol{\ni}{\mathrel}{\M@extsymbols@font}{"220B}
  \DeclareMathSymbol{\subset}{\mathrel}{\M@extsymbols@font}{"2282}
  \DeclareMathSymbol{\supset}{\mathrel}{\M@extsymbols@font}{"2283}
  \DeclareMathSymbol{\subseteq}{\mathrel}{\M@extsymbols@font}{"2286}
  \DeclareMathSymbol{\supseteq}{\mathrel}{\M@extsymbols@font}{"2287}
  \DeclareMathSymbol{\sqsubset}{\mathrel}{\M@extsymbols@font}{"228F}
  \DeclareMathSymbol{\sqsupset}{\mathrel}{\M@extsymbols@font}{"2290}
  \DeclareMathSymbol{\sqsubseteq}{\mathrel}{\M@extsymbols@font}{"2291}
  \DeclareMathSymbol{\sqsupseteq}{\mathrel}{\M@extsymbols@font}{"2292}
  \DeclareMathSymbol{\triangleleft}{\mathrel}{\M@extsymbols@font}{"22B2}
  \DeclareMathSymbol{\triangleright}{\mathrel}{\M@extsymbols@font}{"22B3}
  \DeclareMathSymbol{\trianglelefteq}{\mathrel}{\M@extsymbols@font}{"22B4}
  \DeclareMathSymbol{\trianglerighteq}{\mathrel}{\M@extsymbols@font}{"22B5}
  \DeclareMathSymbol{\propto}{\mathrel}{\M@extsymbols@font}{"221D}
  \DeclareMathSymbol{\bowtie}{\mathrel}{\M@extsymbols@font}{"22C8}
  \DeclareMathSymbol{\hourglass}{\mathrel}{\M@extsymbols@font}{"29D6}
  \DeclareMathSymbol{\therefore}{\mathrel}{\M@extsymbols@font}{"2234}
  \DeclareMathSymbol{\because}{\mathrel}{\M@extsymbols@font}{"2235}
  \DeclareMathSymbol{\ratio}{\mathrel}{\M@extsymbols@font}{"2236}
  \DeclareMathSymbol{\proportion}{\mathrel}{\M@extsymbols@font}{"2237}
  \DeclareMathSymbol{\ll}{\mathrel}{\M@extsymbols@font}{"226A}
  \DeclareMathSymbol{\gg}{\mathrel}{\M@extsymbols@font}{"226B}
  \DeclareMathSymbol{\lll}{\mathrel}{\M@extsymbols@font}{"22D8}
  \DeclareMathSymbol{\ggg}{\mathrel}{\M@extsymbols@font}{"22D9}
  \DeclareMathSymbol{\leqq}{\mathrel}{\M@extsymbols@font}{"2266}
  \DeclareMathSymbol{\geqq}{\mathrel}{\M@extsymbols@font}{"2267}
  \DeclareMathSymbol{\lapprox}{\mathrel}{\M@extsymbols@font}{"2A85}
  \DeclareMathSymbol{\gapprox}{\mathrel}{\M@extsymbols@font}{"2A86}
  \DeclareMathSymbol{\simeq}{\mathrel}{\M@extsymbols@font}{"2243}
  \DeclareMathSymbol{\eqsim}{\mathrel}{\M@extsymbols@font}{"2242}
  \DeclareMathSymbol{\simeqq}{\mathrel}{\M@extsymbols@font}{"2245}
    \global\let\cong\simeqq
  \DeclareMathSymbol{\approxeq}{\mathrel}{\M@extsymbols@font}{"224A}
  \DeclareMathSymbol{\sssim}{\mathrel}{\M@extsymbols@font}{"224B}
  \DeclareMathSymbol{\seq}{\mathrel}{\M@extsymbols@font}{"224C}
  \DeclareMathSymbol{\doteq}{\mathrel}{\M@extsymbols@font}{"2250}
  \DeclareMathSymbol{\coloneq}{\mathrel}{\M@extsymbols@font}{"2254}
  \DeclareMathSymbol{\eqcolon}{\mathrel}{\M@extsymbols@font}{"2255}
  \DeclareMathSymbol{\ringeq}{\mathrel}{\M@extsymbols@font}{"2257}
  \DeclareMathSymbol{\arceq}{\mathrel}{\M@extsymbols@font}{"2258}
  \DeclareMathSymbol{\wedgeeq}{\mathrel}{\M@extsymbols@font}{"2259}
  \DeclareMathSymbol{\veeeq}{\mathrel}{\M@extsymbols@font}{"225A}
  \DeclareMathSymbol{\stareq}{\mathrel}{\M@extsymbols@font}{"225B}
  \DeclareMathSymbol{\triangleeq}{\mathrel}{\M@extsymbols@font}{"225C}
  \DeclareMathSymbol{\defeq}{\mathrel}{\M@extsymbols@font}{"225D}
  \DeclareMathSymbol{\qeq}{\mathrel}{\M@extsymbols@font}{"225F}
  \DeclareMathSymbol{\lsim}{\mathrel}{\M@extsymbols@font}{"2272}
  \DeclareMathSymbol{\gsim}{\mathrel}{\M@extsymbols@font}{"2273}
  \DeclareMathSymbol{\prec}{\mathrel}{\M@extsymbols@font}{"227A}
  \DeclareMathSymbol{\succ}{\mathrel}{\M@extsymbols@font}{"227B}
  \DeclareMathSymbol{\preceq}{\mathrel}{\M@extsymbols@font}{"227C}
  \DeclareMathSymbol{\succeq}{\mathrel}{\M@extsymbols@font}{"227D}
  \DeclareMathSymbol{\preceqq}{\mathrel}{\M@extsymbols@font}{"2AB3}
  \DeclareMathSymbol{\succeqq}{\mathrel}{\M@extsymbols@font}{"2AB4}
  \DeclareMathSymbol{\precsim}{\mathrel}{\M@extsymbols@font}{"227E}
  \DeclareMathSymbol{\succsim}{\mathrel}{\M@extsymbols@font}{"227F}
  \DeclareMathSymbol{\precapprox}{\mathrel}{\M@extsymbols@font}{"2AB7}
  \DeclareMathSymbol{\succapprox}{\mathrel}{\M@extsymbols@font}{"2AB8}
  \DeclareMathSymbol{\precprec}{\mathrel}{\M@extsymbols@font}{"2ABB}
  \DeclareMathSymbol{\succsucc}{\mathrel}{\M@extsymbols@font}{"2ABC}
  \DeclareMathSymbol{\asymp}{\mathrel}{\M@extsymbols@font}{"224D}
  \DeclareMathSymbol{\nin}{\mathrel}{\M@extsymbols@font}{"2209}
  \DeclareMathSymbol{\nni}{\mathrel}{\M@extsymbols@font}{"220C}
  \DeclareMathSymbol{\nsubset}{\mathrel}{\M@extsymbols@font}{"2284}
  \DeclareMathSymbol{\nsupset}{\mathrel}{\M@extsymbols@font}{"2285}
  \DeclareMathSymbol{\nsubseteq}{\mathrel}{\M@extsymbols@font}{"2288}
  \DeclareMathSymbol{\nsupseteq}{\mathrel}{\M@extsymbols@font}{"2289}
  \DeclareMathSymbol{\subsetneq}{\mathrel}{\M@extsymbols@font}{"228A}
  \DeclareMathSymbol{\supsetneq}{\mathrel}{\M@extsymbols@font}{"228B}
  \DeclareMathSymbol{\nsqsubseteq}{\mathrel}{\M@extsymbols@font}{"22E2}
  \DeclareMathSymbol{\nsqsupseteq}{\mathrel}{\M@extsymbols@font}{"22E3}
  \DeclareMathSymbol{\sqsubsetneq}{\mathrel}{\M@extsymbols@font}{"22E4}
  \DeclareMathSymbol{\sqsupsetneq}{\mathrel}{\M@extsymbols@font}{"22E5}
  \DeclareMathSymbol{\neq}{\mathrel}{\M@extsymbols@font}{"2260}
  \DeclareMathSymbol{\nl}{\mathrel}{\M@extsymbols@font}{"226E}
  \DeclareMathSymbol{\ng}{\mathrel}{\M@extsymbols@font}{"226F}
  \DeclareMathSymbol{\nleq}{\mathrel}{\M@extsymbols@font}{"2270}
  \DeclareMathSymbol{\ngeq}{\mathrel}{\M@extsymbols@font}{"2271}
  \DeclareMathSymbol{\lneq}{\mathrel}{\M@extsymbols@font}{"2A87}
  \DeclareMathSymbol{\gneq}{\mathrel}{\M@extsymbols@font}{"2A88}
  \DeclareMathSymbol{\lneqq}{\mathrel}{\M@extsymbols@font}{"2268}
  \DeclareMathSymbol{\gneqq}{\mathrel}{\M@extsymbols@font}{"2269}
  \DeclareMathSymbol{\ntriangleleft}{\mathrel}{\M@extsymbols@font}{"22EA}
  \DeclareMathSymbol{\ntriangleright}{\mathrel}{\M@extsymbols@font}{"22EB}
  \DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{\M@extsymbols@font}{"22EC}
  \DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{\M@extsymbols@font}{"22ED}
  \DeclareMathSymbol{\nsim}{\mathrel}{\M@extsymbols@font}{"2241}
  \DeclareMathSymbol{\napprox}{\mathrel}{\M@extsymbols@font}{"2249}
  \DeclareMathSymbol{\nsimeq}{\mathrel}{\M@extsymbols@font}{"2244}
  \DeclareMathSymbol{\nsimeqq}{\mathrel}{\M@extsymbols@font}{"2247}
  \DeclareMathSymbol{\simneqq}{\mathrel}{\M@extsymbols@font}{"2246}
  \DeclareMathSymbol{\nlsim}{\mathrel}{\M@extsymbols@font}{"2274}
  \DeclareMathSymbol{\ngsim}{\mathrel}{\M@extsymbols@font}{"2275}
  \DeclareMathSymbol{\lnsim}{\mathrel}{\M@extsymbols@font}{"22E6}
  \DeclareMathSymbol{\gnsim}{\mathrel}{\M@extsymbols@font}{"22E7}
  \DeclareMathSymbol{\lnapprox}{\mathrel}{\M@extsymbols@font}{"2A89}
  \DeclareMathSymbol{\gnapprox}{\mathrel}{\M@extsymbols@font}{"2A8A}
  \DeclareMathSymbol{\nprec}{\mathrel}{\M@extsymbols@font}{"2280}
  \DeclareMathSymbol{\nsucc}{\mathrel}{\M@extsymbols@font}{"2281}
  \DeclareMathSymbol{\npreceq}{\mathrel}{\M@extsymbols@font}{"22E0}
  \DeclareMathSymbol{\nsucceq}{\mathrel}{\M@extsymbols@font}{"22E1}
  \DeclareMathSymbol{\precneq}{\mathrel}{\M@extsymbols@font}{"2AB1}
  \DeclareMathSymbol{\succneq}{\mathrel}{\M@extsymbols@font}{"2AB2}
  \DeclareMathSymbol{\precneqq}{\mathrel}{\M@extsymbols@font}{"2AB5}
  \DeclareMathSymbol{\succneqq}{\mathrel}{\M@extsymbols@font}{"2AB6}
  \DeclareMathSymbol{\precnsim}{\mathrel}{\M@extsymbols@font}{"22E8}
  \DeclareMathSymbol{\succnsim}{\mathrel}{\M@extsymbols@font}{"22E9}
  \DeclareMathSymbol{\precnapprox}{\mathrel}{\M@extsymbols@font}{"2AB9}
  \DeclareMathSymbol{\succnapprox}{\mathrel}{\M@extsymbols@font}{"2ABA}
  \DeclareMathSymbol{\nequiv}{\mathrel}{\M@extsymbols@font}{"2262}
%    \end{macrocode}
% If we're not adjusting the font, we need to declare |\nabla| here.
%    \begin{macrocode}
  \ifM@adjust@font\else
    \DeclareMathSymbol{\nabla}{\mathord}{\M@extsymbols@font}{"2207}
  \fi}
%    \end{macrocode}
% Set arrows.\indexpage{keywordarrows=keyword \texttt{arrows}}
%    \begin{macrocode}
\def\M@arrows@set{%
  \edef\M@arrows@font{M\M@arrowsshape\@tempa}
  \let\uparrow\@undefined
  \let\Uparrow\@undefined
  \let\downarrow\@undefined
  \let\Downarrow\@undefined
  \let\updownarrow\@undefined
  \let\Updownarrow\@undefined
  \let\longrightarrow\@undefined
  \let\longleftarrow\@undefined
  \let\longleftrightarrow\@undefined
  \let\hookrightarrow\@undefined
  \let\hookleftarrow\@undefined
  \let\Longrightarrow\@undefined
  \let\Longleftarrow\@undefined
  \let\Longleftrightarrow\@undefined
  \let\rightleftharpoons\@undefined
  \DeclareMathSymbol{\rightarrow}{\mathrel}{\M@arrows@font}{"2192}
    \global\let\to\rightarrow
  \DeclareMathSymbol{\nrightarrow}{\mathrel}{\M@arrows@font}{"219B}
  \DeclareMathSymbol{\Rightarrow}{\mathrel}{\M@arrows@font}{"21D2}
  \DeclareMathSymbol{\nRightarrow}{\mathrel}{\M@arrows@font}{"21CF}
  \DeclareMathSymbol{\Rrightarrow}{\mathrel}{\M@arrows@font}{"21DB}
  \DeclareMathSymbol{\longrightarrow}{\mathrel}{\M@arrows@font}{"27F6}
  \DeclareMathSymbol{\Longrightarrow}{\mathrel}{\M@arrows@font}{"27F9}
  \DeclareMathSymbol{\rightbararrow}{\mathrel}{\M@arrows@font}{"21A6}
    \global\let\mapsto\rightbararrow
  \DeclareMathSymbol{\Rightbararrow}{\mathrel}{\M@arrows@font}{"2907}
  \DeclareMathSymbol{\longrightbararrow}{\mathrel}{\M@arrows@font}{"27FC}
    \global\let\longmapsto\longrightbararrow
  \DeclareMathSymbol{\Longrightbararrow}{\mathrel}{\M@arrows@font}{"27FE}
  \DeclareMathSymbol{\hookrightarrow}{\mathrel}{\M@arrows@font}{"21AA}
  \DeclareMathSymbol{\rightdasharrow}{\mathrel}{\M@arrows@font}{"21E2}
  \DeclareMathSymbol{\rightharpoonup}{\mathrel}{\M@arrows@font}{"21C0}
  \DeclareMathSymbol{\rightharpoondown}{\mathrel}{\M@arrows@font}{"21C1}
  \DeclareMathSymbol{\rightarrowtail}{\mathrel}{\M@arrows@font}{"21A3}
  \DeclareMathSymbol{\rightoplusarrow}{\mathrel}{\M@arrows@font}{"27F4}
  \DeclareMathSymbol{\rightwavearrow}{\mathrel}{\M@arrows@font}{"219D}
  \DeclareMathSymbol{\rightsquigarrow}{\mathrel}{\M@arrows@font}{"21DD}
  \DeclareMathSymbol{\longrightsquigarrow}{\mathrel}{\M@arrows@font}{"27FF}
  \DeclareMathSymbol{\looparrowright}{\mathrel}{\M@arrows@font}{"21AC}
  \DeclareMathSymbol{\curvearrowright}{\mathrel}{\M@arrows@font}{"293B}
  \DeclareMathSymbol{\circlearrowright}{\mathrel}{\M@arrows@font}{"21BB}
  \DeclareMathSymbol{\twoheadrightarrow}{\mathrel}{\M@arrows@font}{"21A0}
  \DeclareMathSymbol{\rightarrowtobar}{\mathrel}{\M@arrows@font}{"21E5}
  \DeclareMathSymbol{\rightwhitearrow}{\mathrel}{\M@arrows@font}{"21E8}
  \DeclareMathSymbol{\rightrightarrows}{\mathrel}{\M@arrows@font}{"21C9}
  \DeclareMathSymbol{\rightrightrightarrows}{\mathrel}{\M@arrows@font}{"21F6}
  \DeclareMathSymbol{\leftarrow}{\mathrel}{\M@arrows@font}{"2190}
    \global\let\from\leftarrow
  \DeclareMathSymbol{\nleftarrow}{\mathrel}{\M@arrows@font}{"219A}
  \DeclareMathSymbol{\Leftarrow}{\mathrel}{\M@arrows@font}{"21D0}
  \DeclareMathSymbol{\nLeftarrow}{\mathrel}{\M@arrows@font}{"21CD}
  \DeclareMathSymbol{\Lleftarrow}{\mathrel}{\M@arrows@font}{"21DA}
  \DeclareMathSymbol{\longleftarrow}{\mathrel}{\M@arrows@font}{"27F5}
  \DeclareMathSymbol{\Longleftarrow}{\mathrel}{\M@arrows@font}{"27F8}
  \DeclareMathSymbol{\leftbararrow}{\mathrel}{\M@arrows@font}{"21A4}
    \global\let\mapsfrom\leftbararrow
  \DeclareMathSymbol{\Leftbararrow}{\mathrel}{\M@arrows@font}{"2906}
  \DeclareMathSymbol{\longleftbararrow}{\mathrel}{\M@arrows@font}{"27FB}
    \global\let\longmapsfrom\longleftbararrow
  \DeclareMathSymbol{\Longleftbararrow}{\mathrel}{\M@arrows@font}{"27FD}
  \DeclareMathSymbol{\hookleftarrow}{\mathrel}{\M@arrows@font}{"21A9}
  \DeclareMathSymbol{\leftdasharrow}{\mathrel}{\M@arrows@font}{"21E0}
  \DeclareMathSymbol{\leftharpoonup}{\mathrel}{\M@arrows@font}{"21BC}
  \DeclareMathSymbol{\leftharpoondown}{\mathrel}{\M@arrows@font}{"21BD}
  \DeclareMathSymbol{\leftarrowtail}{\mathrel}{\M@arrows@font}{"21A2}
  \DeclareMathSymbol{\leftoplusarrow}{\mathrel}{\M@arrows@font}{"2B32}
  \DeclareMathSymbol{\leftwavearrow}{\mathrel}{\M@arrows@font}{"219C}
  \DeclareMathSymbol{\leftsquigarrow}{\mathrel}{\M@arrows@font}{"21DC}
  \DeclareMathSymbol{\longleftsquigarrow}{\mathrel}{\M@arrows@font}{"2B33}
  \DeclareMathSymbol{\looparrowleft}{\mathrel}{\M@arrows@font}{"21AB}
  \DeclareMathSymbol{\curvearrowleft}{\mathrel}{\M@arrows@font}{"293A}
  \DeclareMathSymbol{\circlearrowleft}{\mathrel}{\M@arrows@font}{"21BA}
  \DeclareMathSymbol{\twoheadleftarrow}{\mathrel}{\M@arrows@font}{"219E}
  \DeclareMathSymbol{\leftarrowtobar}{\mathrel}{\M@arrows@font}{"21E4}
  \DeclareMathSymbol{\leftwhitearrow}{\mathrel}{\M@arrows@font}{"21E6}
  \DeclareMathSymbol{\leftleftarrows}{\mathrel}{\M@arrows@font}{"21C7}
  \DeclareMathSymbol{\leftleftleftarrows}{\mathrel}{\M@arrows@font}{"2B31}
  \DeclareMathSymbol{\leftrightarrow}{\mathrel}{\M@arrows@font}{"2194}
  \DeclareMathSymbol{\Leftrightarrow}{\mathrel}{\M@arrows@font}{"21D4}
  \DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{\M@arrows@font}{"21CE}
  \DeclareMathSymbol{\longleftrightarrow}{\mathrel}{\M@arrows@font}{"27F7}
  \DeclareMathSymbol{\Longleftrightarrow}{\mathrel}{\M@arrows@font}{"27FA}
  \DeclareMathSymbol{\leftrightwavearrow}{\mathrel}{\M@arrows@font}{"21AD}
  \DeclareMathSymbol{\leftrightarrows}{\mathrel}{\M@arrows@font}{"21C6}
  \DeclareMathSymbol{\leftrightharpoons}{\mathrel}{\M@arrows@font}{"21CB}
  \DeclareMathSymbol{\leftrightarrowstobar}{\mathrel}{\M@arrows@font}{"21B9}
  \DeclareMathSymbol{\rightleftarrows}{\mathrel}{\M@arrows@font}{"21C4}
  \DeclareMathSymbol{\rightleftharpoons}{\mathrel}{\M@arrows@font}{"21CC}
  \DeclareMathSymbol{\uparrow}{\mathrel}{\M@arrows@font}{"2191}
  \DeclareMathSymbol{\Uparrow}{\mathrel}{\M@arrows@font}{"21D1}
  \DeclareMathSymbol{\Uuparrow}{\mathrel}{\M@arrows@font}{"290A}
  \DeclareMathSymbol{\upbararrow}{\mathrel}{\M@arrows@font}{"21A5}
  \DeclareMathSymbol{\updasharrow}{\mathrel}{\M@arrows@font}{"21E1}
  \DeclareMathSymbol{\upharpoonleft}{\mathrel}{\M@arrows@font}{"21BF}
  \DeclareMathSymbol{\upharpoonright}{\mathrel}{\M@arrows@font}{"21BE}
  \DeclareMathSymbol{\twoheaduparrow}{\mathrel}{\M@arrows@font}{"219F}
  \DeclareMathSymbol{\uparrowtobar}{\mathrel}{\M@arrows@font}{"2912}
  \DeclareMathSymbol{\upwhitearrow}{\mathrel}{\M@arrows@font}{"21E7}
  \DeclareMathSymbol{\upwhitebararrow}{\mathrel}{\M@arrows@font}{"21EA}
  \DeclareMathSymbol{\upuparrows}{\mathrel}{\M@arrows@font}{"21C8}
  \DeclareMathSymbol{\downarrow}{\mathrel}{\M@arrows@font}{"2193}
  \DeclareMathSymbol{\Downarrow}{\mathrel}{\M@arrows@font}{"21D3}
  \DeclareMathSymbol{\Ddownarrow}{\mathrel}{\M@arrows@font}{"290B}
  \DeclareMathSymbol{\downbararrow}{\mathrel}{\M@arrows@font}{"21A7}
  \DeclareMathSymbol{\downdasharrow}{\mathrel}{\M@arrows@font}{"21E3}
  \DeclareMathSymbol{\zigzagarrow}{\mathrel}{\M@arrows@font}{"21AF}
    \global\let\lightningboltarrow\zigzagarrow
  \DeclareMathSymbol{\downharpoonleft}{\mathrel}{\M@arrows@font}{"21C3}
  \DeclareMathSymbol{\downharpoonright}{\mathrel}{\M@arrows@font}{"21C2}
  \DeclareMathSymbol{\twoheaddownarrow}{\mathrel}{\M@arrows@font}{"21A1}
  \DeclareMathSymbol{\downarrowtobar}{\mathrel}{\M@arrows@font}{"2913}
  \DeclareMathSymbol{\downwhitearrow}{\mathrel}{\M@arrows@font}{"21E9}
  \DeclareMathSymbol{\downdownarrows}{\mathrel}{\M@arrows@font}{"21CA}
  \DeclareMathSymbol{\updownarrow}{\mathrel}{\M@arrows@font}{"2195}
  \DeclareMathSymbol{\Updownarrow}{\mathrel}{\M@arrows@font}{"21D5}
  \DeclareMathSymbol{\updownarrows}{\mathrel}{\M@arrows@font}{"21C5}
  \DeclareMathSymbol{\downuparrows}{\mathrel}{\M@arrows@font}{"21F5}
  \DeclareMathSymbol{\updownharpoons}{\mathrel}{\M@arrows@font}{"296E}
  \DeclareMathSymbol{\downupharpoons}{\mathrel}{\M@arrows@font}{"296F}
  \DeclareMathSymbol{\nearrow}{\mathrel}{\M@arrows@font}{"2197}
  \DeclareMathSymbol{\Nearrow}{\mathrel}{\M@arrows@font}{"21D7}
  \DeclareMathSymbol{\nwarrow}{\mathrel}{\M@arrows@font}{"2196}
  \DeclareMathSymbol{\Nwarrow}{\mathrel}{\M@arrows@font}{"21D6}
  \DeclareMathSymbol{\searrow}{\mathrel}{\M@arrows@font}{"2198}
  \DeclareMathSymbol{\Searrow}{\mathrel}{\M@arrows@font}{"21D8}
  \DeclareMathSymbol{\swarrow}{\mathrel}{\M@arrows@font}{"2199}
  \DeclareMathSymbol{\Swarrow}{\mathrel}{\M@arrows@font}{"21D9}
  \DeclareMathSymbol{\nwsearrow}{\mathrel}{\M@arrows@font}{"2921}
  \DeclareMathSymbol{\neswarrow}{\mathrel}{\M@arrows@font}{"2922}
  \DeclareMathSymbol{\lcirclearrow}{\mathrel}{\M@arrows@font}{"27F2}
  \DeclareMathSymbol{\rcirclearrow}{\mathrel}{\M@arrows@font}{"27F3}}
%    \end{macrocode}
% Set blackboard bold letters and numbers. The alphanumeric keywords work a bit differently from the other font-setting commands. We define |\mathbb| here, which takes a single argument and is essentially a wrapper around |\M@bb@mathcodes|. That command changes the |\Umathcode|s of letters to the unicode hex values of corresponding blackboard-bold characters, and throughout, |\M@bb@num| stores the family number of the sumbol font for the |bb| character class. In the definition of |\mathbb|, we use |\begingroup| and |\endgroup| to avoid creating unexpected atoms. The other alphanumeric keywords work similarly.\indexpage{keywordbb=keyword \texttt{bb}}
%    \begin{macrocode}
\def\M@bb@set{%
  \protected\def\mathbb##1{\relax
    \ifmmode\else
      \M@HModeError\mathbb
      $%
    \fi
    \begingroup
      \M@bb@mathcodes
      ##1%
    \endgroup}
  \edef\M@bb@num{\number\csname symM\M@bbshape\@tempa\endcsname}
  \protected\edef\M@bb@mathcodes{%
  \Umathcode`A=0+\M@bb@num"1D538\relax
  \Umathcode`B=0+\M@bb@num"1D539\relax
  \Umathcode`C=0+\M@bb@num"2102\relax
  \Umathcode`D=0+\M@bb@num"1D53B\relax
  \Umathcode`E=0+\M@bb@num"1D53C\relax
  \Umathcode`F=0+\M@bb@num"1D53D\relax
  \Umathcode`G=0+\M@bb@num"1D53E\relax
  \Umathcode`H=0+\M@bb@num"210D\relax
  \Umathcode`I=0+\M@bb@num"1D540\relax
  \Umathcode`J=0+\M@bb@num"1D541\relax
  \Umathcode`K=0+\M@bb@num"1D542\relax
  \Umathcode`L=0+\M@bb@num"1D543\relax
  \Umathcode`M=0+\M@bb@num"1D544\relax
  \Umathcode`N=0+\M@bb@num"2115\relax
  \Umathcode`O=0+\M@bb@num"1D546\relax
  \Umathcode`P=0+\M@bb@num"2119\relax
  \Umathcode`Q=0+\M@bb@num"211A\relax
  \Umathcode`R=0+\M@bb@num"211D\relax
  \Umathcode`S=0+\M@bb@num"1D54A\relax
  \Umathcode`T=0+\M@bb@num"1D54B\relax
  \Umathcode`U=0+\M@bb@num"1D54C\relax
  \Umathcode`V=0+\M@bb@num"1D54D\relax
  \Umathcode`W=0+\M@bb@num"1D54E\relax
  \Umathcode`X=0+\M@bb@num"1D54F\relax
  \Umathcode`Y=0+\M@bb@num"1D550\relax
  \Umathcode`Z=0+\M@bb@num"2124\relax
  \Umathcode`a=0+\M@bb@num"1D552\relax
  \Umathcode`b=0+\M@bb@num"1D553\relax
  \Umathcode`c=0+\M@bb@num"1D554\relax
  \Umathcode`d=0+\M@bb@num"1D555\relax
  \Umathcode`e=0+\M@bb@num"1D556\relax
  \Umathcode`f=0+\M@bb@num"1D557\relax
  \Umathcode`g=0+\M@bb@num"1D558\relax
  \Umathcode`h=0+\M@bb@num"1D559\relax
  \Umathcode`i=0+\M@bb@num"1D55A\relax
  \Umathcode`j=0+\M@bb@num"1D55B\relax
  \Umathcode`k=0+\M@bb@num"1D55C\relax
  \Umathcode`l=0+\M@bb@num"1D55D\relax
  \Umathcode`m=0+\M@bb@num"1D55E\relax
  \Umathcode`n=0+\M@bb@num"1D55F\relax
  \Umathcode`o=0+\M@bb@num"1D560\relax
  \Umathcode`p=0+\M@bb@num"1D561\relax
  \Umathcode`q=0+\M@bb@num"1D562\relax
  \Umathcode`r=0+\M@bb@num"1D563\relax
  \Umathcode`s=0+\M@bb@num"1D564\relax
  \Umathcode`t=0+\M@bb@num"1D565\relax
  \Umathcode`u=0+\M@bb@num"1D566\relax
  \Umathcode`v=0+\M@bb@num"1D567\relax
  \Umathcode`w=0+\M@bb@num"1D568\relax
  \Umathcode`x=0+\M@bb@num"1D569\relax
  \Umathcode`y=0+\M@bb@num"1D56A\relax
  \Umathcode`z=0+\M@bb@num"1D56B\relax
  \Umathcode`0=0+\M@bb@num"1D7D8\relax
  \Umathcode`1=0+\M@bb@num"1D7D9\relax
  \Umathcode`2=0+\M@bb@num"1D7DA\relax
  \Umathcode`3=0+\M@bb@num"1D7DB\relax
  \Umathcode`4=0+\M@bb@num"1D7DC\relax
  \Umathcode`5=0+\M@bb@num"1D7DD\relax
  \Umathcode`6=0+\M@bb@num"1D7DE\relax
  \Umathcode`7=0+\M@bb@num"1D7DF\relax
  \Umathcode`8=0+\M@bb@num"1D7E0\relax
  \Umathcode`9=0+\M@bb@num"1D7E1\relax}}
%    \end{macrocode}
% Set caligraphic letters.\indexpage{keywordcal=keyword \texttt{cal}}
%    \begin{macrocode}
\def\M@cal@set{%
  \protected\def\mathcal##1{\relax
    \ifmmode\else
      \M@HModeError\mathcal
      $%
    \fi
    \begingroup
      \M@cal@mathcodes
      ##1%
    \endgroup}
  \edef\M@cal@num{\number\csname symM\M@calshape\@tempa\endcsname}
  \protected\edef\M@cal@mathcodes{%
  \Umathcode`A=0+\M@cal@num"1D49C\relax
  \Umathcode`B=0+\M@cal@num"212C\relax
  \Umathcode`C=0+\M@cal@num"1D49E\relax
  \Umathcode`D=0+\M@cal@num"1D49F\relax
  \Umathcode`E=0+\M@cal@num"2130\relax
  \Umathcode`F=0+\M@cal@num"2131\relax
  \Umathcode`G=0+\M@cal@num"1D4A2\relax
  \Umathcode`H=0+\M@cal@num"210B\relax
  \Umathcode`I=0+\M@cal@num"2110\relax
  \Umathcode`J=0+\M@cal@num"1D4A5\relax
  \Umathcode`K=0+\M@cal@num"1D4A6\relax
  \Umathcode`L=0+\M@cal@num"2112\relax
  \Umathcode`M=0+\M@cal@num"2133\relax
  \Umathcode`N=0+\M@cal@num"1D4A9\relax
  \Umathcode`O=0+\M@cal@num"1D4AA\relax
  \Umathcode`P=0+\M@cal@num"1D4AB\relax
  \Umathcode`Q=0+\M@cal@num"1D4AC\relax
  \Umathcode`R=0+\M@cal@num"211B\relax
  \Umathcode`S=0+\M@cal@num"1D4AE\relax
  \Umathcode`T=0+\M@cal@num"1D4AF\relax
  \Umathcode`U=0+\M@cal@num"1D4B0\relax
  \Umathcode`V=0+\M@cal@num"1D4B1\relax
  \Umathcode`W=0+\M@cal@num"1D4B2\relax
  \Umathcode`X=0+\M@cal@num"1D4B3\relax
  \Umathcode`Y=0+\M@cal@num"1D4B4\relax
  \Umathcode`Z=0+\M@cal@num"1D4B5\relax
  \Umathcode`a=0+\M@cal@num"1D4B6\relax
  \Umathcode`b=0+\M@cal@num"1D4B7\relax
  \Umathcode`c=0+\M@cal@num"1D4B8\relax
  \Umathcode`d=0+\M@cal@num"1D4B9\relax
  \Umathcode`e=0+\M@cal@num"212F\relax
  \Umathcode`f=0+\M@cal@num"1D4BB\relax
  \Umathcode`g=0+\M@cal@num"210A\relax
  \Umathcode`h=0+\M@cal@num"1D4BD\relax
  \Umathcode`i=0+\M@cal@num"1D4BE\relax
  \Umathcode`j=0+\M@cal@num"1D4BF\relax
  \Umathcode`k=0+\M@cal@num"1D4C0\relax
  \Umathcode`l=0+\M@cal@num"1D4C1\relax
  \Umathcode`m=0+\M@cal@num"1D4C2\relax
  \Umathcode`n=0+\M@cal@num"1D4C3\relax
  \Umathcode`o=0+\M@cal@num"2134\relax
  \Umathcode`p=0+\M@cal@num"1D4C5\relax
  \Umathcode`q=0+\M@cal@num"1D4C6\relax
  \Umathcode`r=0+\M@cal@num"1D4C7\relax
  \Umathcode`s=0+\M@cal@num"1D4C8\relax
  \Umathcode`t=0+\M@cal@num"1D4C9\relax
  \Umathcode`u=0+\M@cal@num"1D4CA\relax
  \Umathcode`v=0+\M@cal@num"1D4CB\relax
  \Umathcode`w=0+\M@cal@num"1D4CC\relax
  \Umathcode`x=0+\M@cal@num"1D4CD\relax
  \Umathcode`y=0+\M@cal@num"1D4CE\relax
  \Umathcode`z=0+\M@cal@num"1D4CF\relax}}
%    \end{macrocode}
% Set fraktur letters.\indexpage{keywordfrak=keyword \texttt{frak}}
%    \begin{macrocode}
\def\M@frak@set{%
  \protected\def\mathfrak##1{\relax
    \ifmmode\else
      \M@HModeError\mathfrak
      $%
    \fi
    \begingroup
      \M@frak@mathcodes
      ##1%
    \endgroup}
  \edef\M@frak@num{\number\csname symM\M@frakshape\@tempa\endcsname}
  \protected\edef\M@frak@mathcodes{%
  \Umathcode`A=0+\M@frak@num"1D504\relax
  \Umathcode`B=0+\M@frak@num"1D505\relax
  \Umathcode`C=0+\M@frak@num"212D\relax
  \Umathcode`D=0+\M@frak@num"1D507\relax
  \Umathcode`E=0+\M@frak@num"1D508\relax
  \Umathcode`F=0+\M@frak@num"1D509\relax
  \Umathcode`G=0+\M@frak@num"1D50A\relax
  \Umathcode`H=0+\M@frak@num"210C\relax
  \Umathcode`I=0+\M@frak@num"2111\relax
  \Umathcode`J=0+\M@frak@num"1D50D\relax
  \Umathcode`K=0+\M@frak@num"1D50E\relax
  \Umathcode`L=0+\M@frak@num"1D50F\relax
  \Umathcode`M=0+\M@frak@num"1D510\relax
  \Umathcode`N=0+\M@frak@num"1D511\relax
  \Umathcode`O=0+\M@frak@num"1D512\relax
  \Umathcode`P=0+\M@frak@num"1D513\relax
  \Umathcode`Q=0+\M@frak@num"1D514\relax
  \Umathcode`R=0+\M@frak@num"211C\relax
  \Umathcode`S=0+\M@frak@num"1D516\relax
  \Umathcode`T=0+\M@frak@num"1D517\relax
  \Umathcode`U=0+\M@frak@num"1D518\relax
  \Umathcode`V=0+\M@frak@num"1D519\relax
  \Umathcode`W=0+\M@frak@num"1D51A\relax
  \Umathcode`X=0+\M@frak@num"1D51B\relax
  \Umathcode`Y=0+\M@frak@num"1D51C\relax
  \Umathcode`Z=0+\M@frak@num"2128\relax
  \Umathcode`a=0+\M@frak@num"1D51E\relax
  \Umathcode`b=0+\M@frak@num"1D51F\relax
  \Umathcode`c=0+\M@frak@num"1D520\relax
  \Umathcode`d=0+\M@frak@num"1D521\relax
  \Umathcode`e=0+\M@frak@num"1D522\relax
  \Umathcode`f=0+\M@frak@num"1D523\relax
  \Umathcode`g=0+\M@frak@num"1D524\relax
  \Umathcode`h=0+\M@frak@num"1D525\relax
  \Umathcode`i=0+\M@frak@num"1D526\relax
  \Umathcode`j=0+\M@frak@num"1D527\relax
  \Umathcode`k=0+\M@frak@num"1D528\relax
  \Umathcode`l=0+\M@frak@num"1D529\relax
  \Umathcode`m=0+\M@frak@num"1D52A\relax
  \Umathcode`n=0+\M@frak@num"1D52B\relax
  \Umathcode`o=0+\M@frak@num"1D52C\relax
  \Umathcode`p=0+\M@frak@num"1D52D\relax
  \Umathcode`q=0+\M@frak@num"1D52E\relax
  \Umathcode`r=0+\M@frak@num"1D52F\relax
  \Umathcode`s=0+\M@frak@num"1D530\relax
  \Umathcode`t=0+\M@frak@num"1D531\relax
  \Umathcode`u=0+\M@frak@num"1D532\relax
  \Umathcode`v=0+\M@frak@num"1D533\relax
  \Umathcode`w=0+\M@frak@num"1D534\relax
  \Umathcode`x=0+\M@frak@num"1D535\relax
  \Umathcode`y=0+\M@frak@num"1D536\relax
  \Umathcode`z=0+\M@frak@num"1D537\relax}}
%    \end{macrocode}
% Set bold caligraphic letters.\indexpage{keywordbcal=keyword \texttt{bcal}}
%    \begin{macrocode}
\def\M@bcal@set{%
  \protected\def\mathbcal##1{\relax
    \ifmmode\else
      \M@HModeError\mathbcal
      $%
    \fi
    \begingroup
      \M@bcal@mathcodes
      ##1%
    \endgroup}
  \edef\M@bcal@num{\number\csname symM\M@bcalshape\@tempa\endcsname}
  \protected\edef\M@bcal@mathcodes{%
  \Umathcode`A=0+\M@bcal@num"1D4D0\relax
  \Umathcode`B=0+\M@bcal@num"1D4D1\relax
  \Umathcode`C=0+\M@bcal@num"1D4D2\relax
  \Umathcode`D=0+\M@bcal@num"1D4D3\relax
  \Umathcode`E=0+\M@bcal@num"1D4D4\relax
  \Umathcode`F=0+\M@bcal@num"1D4D5\relax
  \Umathcode`G=0+\M@bcal@num"1D4D6\relax
  \Umathcode`H=0+\M@bcal@num"1D4D7\relax
  \Umathcode`I=0+\M@bcal@num"1D4D8\relax
  \Umathcode`J=0+\M@bcal@num"1D4D9\relax
  \Umathcode`K=0+\M@bcal@num"1D4DA\relax
  \Umathcode`L=0+\M@bcal@num"1D4DB\relax
  \Umathcode`M=0+\M@bcal@num"1D4DC\relax
  \Umathcode`N=0+\M@bcal@num"1D4DD\relax
  \Umathcode`O=0+\M@bcal@num"1D4DE\relax
  \Umathcode`P=0+\M@bcal@num"1D4DF\relax
  \Umathcode`Q=0+\M@bcal@num"1D4E0\relax
  \Umathcode`R=0+\M@bcal@num"1D4E1\relax
  \Umathcode`S=0+\M@bcal@num"1D4E2\relax
  \Umathcode`T=0+\M@bcal@num"1D4E3\relax
  \Umathcode`U=0+\M@bcal@num"1D4E4\relax
  \Umathcode`V=0+\M@bcal@num"1D4E5\relax
  \Umathcode`W=0+\M@bcal@num"1D4E6\relax
  \Umathcode`X=0+\M@bcal@num"1D4E7\relax
  \Umathcode`Y=0+\M@bcal@num"1D4E8\relax
  \Umathcode`Z=0+\M@bcal@num"1D4E9\relax
  \Umathcode`a=0+\M@bcal@num"1D4EA\relax
  \Umathcode`b=0+\M@bcal@num"1D4EB\relax
  \Umathcode`c=0+\M@bcal@num"1D4EC\relax
  \Umathcode`d=0+\M@bcal@num"1D4ED\relax
  \Umathcode`e=0+\M@bcal@num"1D4EE\relax
  \Umathcode`f=0+\M@bcal@num"1D4EF\relax
  \Umathcode`g=0+\M@bcal@num"1D4F0\relax
  \Umathcode`h=0+\M@bcal@num"1D4F1\relax
  \Umathcode`i=0+\M@bcal@num"1D4F2\relax
  \Umathcode`j=0+\M@bcal@num"1D4F3\relax
  \Umathcode`k=0+\M@bcal@num"1D4F4\relax
  \Umathcode`l=0+\M@bcal@num"1D4F5\relax
  \Umathcode`m=0+\M@bcal@num"1D4F6\relax
  \Umathcode`n=0+\M@bcal@num"1D4F7\relax
  \Umathcode`o=0+\M@bcal@num"1D4F8\relax
  \Umathcode`p=0+\M@bcal@num"1D4F9\relax
  \Umathcode`q=0+\M@bcal@num"1D4FA\relax
  \Umathcode`r=0+\M@bcal@num"1D4FB\relax
  \Umathcode`s=0+\M@bcal@num"1D4FC\relax
  \Umathcode`t=0+\M@bcal@num"1D4FD\relax
  \Umathcode`u=0+\M@bcal@num"1D4FE\relax
  \Umathcode`v=0+\M@bcal@num"1D4FF\relax
  \Umathcode`w=0+\M@bcal@num"1D500\relax
  \Umathcode`x=0+\M@bcal@num"1D501\relax
  \Umathcode`y=0+\M@bcal@num"1D502\relax
  \Umathcode`z=0+\M@bcal@num"1D503\relax}}
%    \end{macrocode}
% Set bold fraktur letters.\indexpage{keywordbfrak=keyword \texttt{bfrak}}
%    \begin{macrocode}
\def\M@bfrak@set{%
  \protected\def\mathbfrak##1{\relax
    \ifmmode\else
      \M@HModeError\mathbfrak
      $%
    \fi
    \begingroup
      \M@bfrak@mathcodes
      ##1%
    \endgroup}
  \edef\M@bfrak@num{\number\csname symM\M@bfrakshape\@tempa\endcsname}
  \protected\edef\M@bfrak@mathcodes{%
  \Umathcode`A=0+\M@bfrak@num"1D56C\relax
  \Umathcode`B=0+\M@bfrak@num"1D56D\relax
  \Umathcode`C=0+\M@bfrak@num"1D56E\relax
  \Umathcode`D=0+\M@bfrak@num"1D56F\relax
  \Umathcode`E=0+\M@bfrak@num"1D570\relax
  \Umathcode`F=0+\M@bfrak@num"1D571\relax
  \Umathcode`G=0+\M@bfrak@num"1D572\relax
  \Umathcode`H=0+\M@bfrak@num"1D573\relax
  \Umathcode`I=0+\M@bfrak@num"1D574\relax
  \Umathcode`J=0+\M@bfrak@num"1D575\relax
  \Umathcode`K=0+\M@bfrak@num"1D576\relax
  \Umathcode`L=0+\M@bfrak@num"1D577\relax
  \Umathcode`M=0+\M@bfrak@num"1D578\relax
  \Umathcode`N=0+\M@bfrak@num"1D579\relax
  \Umathcode`O=0+\M@bfrak@num"1D57A\relax
  \Umathcode`P=0+\M@bfrak@num"1D57B\relax
  \Umathcode`Q=0+\M@bfrak@num"1D57C\relax
  \Umathcode`R=0+\M@bfrak@num"1D57D\relax
  \Umathcode`S=0+\M@bfrak@num"1D57E\relax
  \Umathcode`T=0+\M@bfrak@num"1D57F\relax
  \Umathcode`U=0+\M@bfrak@num"1D580\relax
  \Umathcode`V=0+\M@bfrak@num"1D581\relax
  \Umathcode`W=0+\M@bfrak@num"1D582\relax
  \Umathcode`X=0+\M@bfrak@num"1D583\relax
  \Umathcode`Y=0+\M@bfrak@num"1D584\relax
  \Umathcode`Z=0+\M@bfrak@num"1D585\relax
  \Umathcode`a=0+\M@bfrak@num"1D586\relax
  \Umathcode`b=0+\M@bfrak@num"1D587\relax
  \Umathcode`c=0+\M@bfrak@num"1D588\relax
  \Umathcode`d=0+\M@bfrak@num"1D589\relax
  \Umathcode`e=0+\M@bfrak@num"1D58A\relax
  \Umathcode`f=0+\M@bfrak@num"1D58B\relax
  \Umathcode`g=0+\M@bfrak@num"1D58C\relax
  \Umathcode`h=0+\M@bfrak@num"1D58D\relax
  \Umathcode`i=0+\M@bfrak@num"1D58E\relax
  \Umathcode`j=0+\M@bfrak@num"1D58F\relax
  \Umathcode`k=0+\M@bfrak@num"1D590\relax
  \Umathcode`l=0+\M@bfrak@num"1D591\relax
  \Umathcode`m=0+\M@bfrak@num"1D592\relax
  \Umathcode`n=0+\M@bfrak@num"1D593\relax
  \Umathcode`o=0+\M@bfrak@num"1D594\relax
  \Umathcode`p=0+\M@bfrak@num"1D595\relax
  \Umathcode`q=0+\M@bfrak@num"1D596\relax
  \Umathcode`r=0+\M@bfrak@num"1D597\relax
  \Umathcode`s=0+\M@bfrak@num"1D598\relax
  \Umathcode`t=0+\M@bfrak@num"1D599\relax
  \Umathcode`u=0+\M@bfrak@num"1D59A\relax
  \Umathcode`v=0+\M@bfrak@num"1D59B\relax
  \Umathcode`w=0+\M@bfrak@num"1D59C\relax
  \Umathcode`x=0+\M@bfrak@num"1D59D\relax
  \Umathcode`y=0+\M@bfrak@num"1D59E\relax
  \Umathcode`z=0+\M@bfrak@num"1D59F\relax}}
%    \end{macrocode}
% And that's everything!
% 
% \vfill\eject
% 
% \section*{Version History}
% 
% New features and updates with each version. Listed in no particular order.
% 
% \begin{multicols*}{2}
% \bgroup\raggedright\parskip\z@\parindent\z@\leftskip1em\obeylines
% \setbox0\hbox{\hskip 1pt.\hskip 1pt}
% \def\version#1#2{\bigskip\hbox to \hsize{\textbf{#1} \cleaders\copy0\hfill\ #2}\par}
% \def\item{\leavevmode\raise0.5ex\hbox{\vrule height 1pt width 0.5em}\kern1pt}
% \def\item{---\kern0.2ex\relax}^^A I like the em dash better than a vrule
% 
% \version{1.1b}{July 2018}
% \item initial release
% 
% \version{1.2}{August 2018}
% \item minor bug fix for |\mathfrak|
% \item eliminated redundant batchfile
% 
% \version{1.3}{January 2019}
% \item added |symbols| keyword\par
% \item created |mathfont_example.pdf|
% \item corrected the description of the \textsf{mathastext} package
% \item font-change |\message| added to |\mathfont|
% 
% \version{1.4}{April 2019}
% \item |\setfont| command added
% \item |\mathfont| optional argument can parse spaces
% \item |no-operators| now default package optional argument
% \item added |\comma| command
% \item new fancy fatal error message
% \item improved messaging for |\mathfont|
% \item internal command |\mathpound| changed to |\mathhash|
% \item added a missing |#1| after |\char`\"| in the example code redefining |"| in the user guide
% 
% \version{1.5}{April 2019}
% \item separated |\increment| and |\Delta|
% \item version history added
% \item initial off-the-shelf use insert added
% 
% \version{1.6}{December 2019}
% \item separated implementation and user documentation
% \item created |mathfont_heading.tex|
% \item created |mathfont_doc_patch.tex| for use with the index
% \item changed |mathfont_greek.pdf| to |mathfont_symbol_list.pdf|
% \item eliminated |mathfont_example.pdf|
% \item eliminated |operators| package option
% \item eliminated |packages| package option
% \item font name can be package option
% \item added Hebrew and Cyrillic characters
% \item separated ancient Greek from modern Greek characters
% \item created new keywords: |extsymbols|, |delimiters|, |arrows|, |diacritics|, |bigops|, |extbigops|
% \item improved messaging
% \item improved internal code for local font-change commands
% \item improved space parsing for the optional argument of |\mathfont|
% \item bug fix for |\#|, etc.\ commands
% \item bad input for |\mathbb|, etc.\ now gives a warning
% \item improved error checking for |\newmathrm|, etc.\ commands
% \item |\mathfont| now ignores bad options (on top of issuing an error)
% \item iternal commands now begin with |\M@|\dots
% \item added Easter Egg!
% \item improved indexing
% \item |mathfont.dtx| renamed as |mathfont_code.dtx|
% \item |\newmathbold| renamed as |\newmathbf|
% \item default local font changes now use |\updefault|, etc.
% \item added fatal error for missing \textsf{fontspec}
% \item fatal errors result in |\endinput| rather than |\@@end|
% 
% \version{2.0}{December 2021\strut}
% {\smallskip\leftskip\z@
%   \fboxrule=1pt\relax
%   \dimen@\hsize
%   \advance\dimen@ by -2\fboxrule
%   \advance\dimen@ by -2\fboxsep
%   \fbox{\vbox{\hsize\dimen@
%     \strut\textbf{Big Change:} Font adjustments for Lua\TeX: new glyph boundaries for Latin letters in math mode, resizable delimiters, actual big operators, MathConstants table based on font metrics.\vphantom{y}}}
%   \par\smallskip}
% \item added |\CharmLine| and |\CharmFile|
% \item added |\mathconstantsfont|
% \item certain dimensions in equations are now adjustable when typesetting with Lua\TeX
% \item added |adjust| and |no-adjust| package options
% \item automatic generation of |ind| file
% \item fixed symbols for |\leftharpoonup|, |\leftharpoondown|, and fraktur R
% \item cleaned up internal code and documentation
% \item font names for |\mathfont| stored to avoid multiple symbol font declarations with the same font
% \item more information about nfss family names stored and provided
% \item added option |empty|
% \item raised upper bound on |\DeclareSymbolFont| to 256
% \item reintroduced |mathfont_example.tex| with different contents
% \item changed several symbol-commands to |\protected| rather than robust macros
% \item many user-level commands are now |\protected|
% \item |\updefault| changed to |\shapedefault|
% \item eliminated |\catcode| change for space characters when scanning optional argument of |\mathfont|
% \item improved messaging for |\mathfont|
% \item removed dependence on \textsf{fontspec} and added internal font-loader
% \item switched |\epsilon| and |\varepsilon|
% \item switched |\phi| and |\varphi|
% \item changed |/| to produce a solidus in math mode and added |\fractionslash|
% \item removed |\restoremathinternals| from the user guide
% \item |\setfont| now sets |\mathrm|, etc.
% \item added |\newmathsc|, other math alphabet commands for small caps
% 
% \version{2.1}{November 2022\strut}
% \item |\mathbb|, etc.\ commands change |\Umathcode|s of letters instead of |\M@|\meta{bb,etc.}|@|\meta{letter} commands
% \item removed warnings about non-letter contents of |\mathbb|, etc.
% \item fonts loaded twice, once with default settings (for text) and once in base mode (for math)
% \item |mathconstantsfont| accepts ``upright'' or ``italic'' as optional argument
% 
% \version{2.2}{December 2022\strut}
% \item changed the easter egg text
% \item updated patch for |\DeclareSymbolFont| to work with changes to the kernel
% \item calling Plain \TeX\ on \texttt{mathfont\_code.dtx} produces sty file and no pdf file
% 
% 
% \egroup
% \end{multicols*}
% 
% 
% 
% \iffalse
% 
%</package>
%<*user>
\documentclass[12pt,twoside]{article}
\makeatletter
\usepackage[margin=72.27pt]{geometry}
\usepackage[factor=700,stretch=14,shrink=14,step=1]{microtype}
\usepackage[bottom]{footmisc}
\usepackage{booktabs}
\usepackage{graphicx}
\usepackage{tabularx}
\usepackage{multirow}
\usepackage{hyperref}
\usepackage{enumitem}
\SetEnumitemKey{special}{topsep=\smallskipamount,
  itemsep=\smallskipamount,
  parsep=\z@,partopsep=\z@}
\setlist{special}
\usepackage{doc}
\MakeShortVerb{|}
\def\link#1{\href{#1}{\nolinkurl{#1}}}
\newcount\fig
\fig=1\relax
\c@topnumber\@ne
% \skip\footins=7pt

% Our own label/ref scheme because the standard one isn't working
\def\labelfig#1{\immediate\write\@auxout{\string\makelabel{#1}{\the\fig}}}
\def\makelabel#1#2{\expandafter\gdef\csname fig@#1\endcsname{#2}}

\begin{document}
\def\ref#1{\csname fig@#1\endcsname}


\def\documentname{User Guide}
\def\showabstract{1}
\input mathfont_heading.tex


Handling fonts in \TeX\ and \LaTeX\ is a notoriously difficult task because fonts are complicated objects.\footnote{The last 30 years have seen huge advances in loading fonts with \TeX. Donald Knuth originally designed \TeX\ to load fonts created with Metafont, and only more recent engines such as Jonathan Kew's \XeTeX\ and Hans Hagen, et al.'s Lua\TeX\ have extended \TeX's font-loading capabilities to unicode. \XeTeX\ supports OpenType and TrueType fonts natively, and Lua\TeX\ can load OpenType fonts through the \textsf{luaotfload} package. Information on \XeTeX\ is available at \link{https://tug.org/xetex/}, and information on Lua\TeX\ is available at the official website for Lua\TeX: \link{http://www.luatex.org/}. See also Ulrike Fischer, et al., ``\textsf{luaotfload}---OpenType `loader' for Plain \TeX\ and \LaTeX,'' \link{https://ctan.org/pkg/luaotfload}.} The \textsf{mathfont} package loads TrueType and OpenType fonts for use in math mode, and this document explains the package's user-level commands. For version history and code implementation, see |mathfont_code.pdf|, and for a list of all symbols accessible with \textsf{mathfont}, see |mathfont_symbol_list.pdf|. The \textsf{mathfont} installation also includes four example files, and all \textsf{mathfont} pdf documentation files are available on \textsc{ctan}.


\section{Loading and Basic Functionality}

Loading fonts for math typesetting is more complicated than for regular text. First, the commands to select fonts for math mode, both in plain \TeX\ and in the \textsc{nfss}, are more complicated than the macros to select text fonts, and second, \TeX\ expects fonts for math to contain extra information that it uses to format equations.\footnote{Specifically, this extra information is a set of large variants, math-specific parameter values associated with individual characters, and a MathConstants table. Also, math fonts often use slightly wider bounding boxes for letters in math mode---the Computer Modern $f$ is a famous example. For this reason, \textsf{mathfont} also provides an interface to enlarge the bounding boxes of Latin letters when they appear in math mode. See section 4 for details.} Broadly speaking, we say that a \textit{math font} contains this extra information, whereas a \textit{text font} does not, and typesetting math with glyphs from one or more text fonts usually results in equations that are less aesthetically pleasing than using a properly prepared math font. The functionality of \textsf{mathfont} then is twofold: (1) provide a wrapper around the \textsc{nfss} commands for math typesetting that serves as a high-level interface; and (2) implement Lua\TeX\ callbacks that artificially convert text fonts into math fonts at loading.\footnote{Values for MathConstants table are different from but inspired by Ulrik Vieth, ``Understanding the \AE sthetics of Math Typesetting,'' (Bacho\TeX\ Conference, 2008) and Ulrik Vieth ``OpenType Math Illuminated,'' \textit{TUGboat} 30 (2009): 22--31. See also Bogus\l aw Jackowski, ``Appendix G Illuminated,'' \textit{TUGboat} 27 (2006): 83--90.} Please note that \textsf{mathfont} tries its best to get your fonts right, but if you run into trouble loading the correct font files, you should declare your font family and shapes in the \textsc{nfss} before setting any fonts with \textsf{mathfont}. Because unicode text fonts greatly outnumber unicode math fonts, I hope that my package will expand the set of fonts available for typesetting math in \LaTeX. 


You must use one of \XeLaTeX\ or Lua\LaTeX\ to typeset a document with \textsf{mathfont}. You can load \textsf{mathfont} with the standard |\usepackage{mathfont}| syntax, and the package accepts three optional arguments. If you use Lua\TeX, the options |adjust| or |no-adjust| will manually specify whether \textsf{mathfont} should adapt text fonts for math mode, and \textsf{mathfont} selects |adjust| by default. If you use \XeTeX, \textsf{mathfont} cannot adjust any font objects with Lua callbacks, and either of these package options will cause an error.\footnote{In particular, with \XeLaTeX\ \textsf{mathfont} does not add big operators or resizable delimiters. This means you will have to use the Computer Modern defaults, load a separate math font for resizable characters, or end up with a document where large operators and delimiters do not scale like they do normally.} For this reason, using Lua\TeX\ with \textsf{mathfont} is recommended as of version 2.0. If you load \textsf{mathfont} with any other optional argument, the package will interpret it as a font name and call |\setfont| (described in the next section) on your argument. Doing so selects that font for the text of your document and for the character classes in the upper section of Table~1.

The \textsf{mathfont} package is closely related to several other \LaTeX\ packages. The functionality is closest to that of \textsf{mathspec} by Andrew Gilbert Moschou, which is compatible with \XeTeX\ only and selects characters from text fonts for math.\footnote{Andrew Gilbert Moschou, ``\textsf{mathspec}---Specify arbitrary fonts for mathematics in \XeTeX,'' \link{https://ctan.org/pkg/mathspec}.} The \textsf{unicode-math} package is the standard \LaTeX\ package for loading actual unicode math fonts, and if you have a unicode font with proper math support, rather than a text font that you want to use for equations, consider using this package instead of \textsf{mathfont}.\footnote{Will Robertson, et al., ``\textsf{unicode-math}---Unicode mathematics support for XeTeX and LuaTeX,'' \link{https://ctan.org/pkg/unicode-math}.} Users who want to a text font for math with pdf\LaTeX\ should consider Jean-Fran\c cois Burnol's \textsf{mathastext} because \textsf{mathfont} is incompatible with pdf\TeX.\footnote{Jean-Fran\c cois Burnol, ``\textsf{mathastext}---Use the text font in maths mode,'' \link{https://ctan.org/pkg/mathastext}. In several previous versions of this documentation, I mischaracterized the approach of \textsf{mathastext} to \TeX's internal mathematics spacing. In fact, \textsf{mathastext} preserves and in some cases extends rules for space between various math-mode characters.} Finally, you will probably be better off using \textsf{fontspec} if your document does not contain any math.\footnote{Will Robertson and Khaled Hosny, ``\textsf{fontspec}---Advanced font selection in \XeLaTeX\ and Lua\LaTeX,'' \link{https://ctan.org/pkg/fontspec}.} The \textsf{fontspec} package is designed to load TrueType and OpenType fonts for text and provides a high-level interface for selecting OpenType font features.

\begin{figure}[t]\labelfig{Keywords}
\centerline{\bfseries Table \the\fig: Character Classes\strut}
\global\advance\fig by 1\relax
\begin{tabularx}\hsize{lXll}\toprule
Keyword & Meaning & Default Shape & Alphabetic?\\\midrule
|upper| & Upper-Case Latin & Italic & Yes\\
|lower| & Lower-Case Latin & Italic & Yes\\
|diacritics| & Diacritics & Upright & Yes\\
|greekupper| & Upper-Case Greek & Upright & Yes\\
|greeklower| & Lower-Case Greek & Italic & Yes\\
|digits| & Arabic Numerals & Upright & Yes\\
|operator| & Operator Font & Upright & Yes\\
|delimiters| & Delimiter & Upright & No\\
|radical| & Square Root Symbol & Upright & No\\
|symbols| & Basic Math Symbols & Upright & No\\
|bigops| & Big Operators & Upright & No\\\midrule
|agreekupper| & Upper-Case Ancient Greek & Upright & Yes\\
|agreeklower| & Lower-Case Ancient Greek & Italic & Yes\\
|cyrillicupper| & Upper-Case Cyrillic & Upright & Yes\\
|cyrilliclower| & Lower-Case Cyrillic & Italic & Yes\\
|hebrew| & Hebrew & Upright & Yes\\
|extsymbols| & Extended Math Symbols & Upright & No\\
|arrows| & Arrows & Upright & No\\
|extbigops| & Extended Big Operators & Upright & No\\
|bb| & Blackboard Bold (double-struck) & Upright & No\\
|cal| & Caligraphic & Upright & No\\
|frak| & Fraktur & Upright & No\\
|bcal| & Bold Caligraphic & Upright & No\\
|bfrak| & Bold Fraktur & Upright & No\\
\bottomrule
\end{tabularx}
\end{figure}


\section{Setting the Default Font}

The |\mathfont| command sets the default font for certain classes of characters when they appear in math mode. It accepts a single mandatory argument, which should be a system font name or a family name already present in the \textsc{nfss}. The macro also accepts an optional argument, which should be a comma-separated list of keywords from Table~\ref{Keywords}, as in
\begin{code}
|\mathfont[|\meta{keywords}|]{|\meta{font name}|}|,
\end{code}
and \textsf{mathfont} sets the default font face for every character in those keywords to an upright or italic version of the font from the mandatory argument. See |mathfont_symbol_list.pdf| for a list of symbols corresponding to each keyword. If you do not include an optional argument, |\mathfont| acts on all keywords in the upper section of Table~1 (but not including |delimiters|, |radical|, or |bigops| characters in \XeTeX), so calling |\mathfont| with no optional argument is a fast way to change the font for most common math characters. To change the shape, you should say ``|=upright|'' or ``|=italic|'' immediately after the keyword and before the following comma, and spaces are allowed throughout the optional argument. For example, the command
\begin{code}
|\mathfont[lower=upright, upper=upright]{Times New Roman}|
\end{code}
changes all Latin letters to upright Times New Roman. Once \textsf{mathfont} has set the default font for a keyword in Table~1, it will ignore any future instructions to do so and prints a warning to the terminal instead.


\begin{figure}[t]
\labelfig{SetFont}
\centerline{\bfseries Table \the\fig: Commands Defined by \vrb\setfont\strut}
\global\advance\fig by 1\relax
\begin{tabularx}\textwidth{XXX}\toprule
Command & Series & Shape\\\midrule
|\mathrm| & Medium & Upright\\
|\mathit| & Medium & Italic\\
|\mathbf| & Bold & Upright\\
|\mathbfit| & Bold & Italic\\
|\mathsc| & Medium & Small Caps\\
|\mathscit| & Medium & Italic Small Caps\\
|\mathbfsc| & Bold & Small Caps\\
|\mathbfscit| & Bold & Italic Small Caps\\\bottomrule
\end{tabularx}
\end{figure}


If you want to change the font for both text and math, you should use |\setfont| instead of |\mathfont|. This command accepts a single mandatory argument:
\begin{code}
|\setfont{|\meta{font name}|}|.
\end{code}
It calls |\mathfont| without an optional argument---i.e.\ for the default keywords---on your \meta{font name} and sets your document's default text font to be the \meta{font name}. The command also defines the eight commands in Table~\ref{SetFont} using the \meta{font name} and the |\new| macros in the next section. Both |\mathfont| and |\setfont| should appear in the preamble only.


To select OpenType features, you should put a colon after the font name and follow it with appropriate OpenType tags. For example adding ``|onum=true|'' tells \TeX\ to load your font with oldstyle numbering, assuming that feature is present in the font.\footnote{By default, \textsf{mathfont} enables standard ligatures, traditional \TeX\ ligatures, and lining numbers. The package sets |smcp| to |true| or |false| depending on whether it is attempting to load a small-caps font. For the full list of OpenType features, see \link{https://docs.microsoft.com/en-us/typography/opentype/spec/featurelist}.} Whenever you select a font, \textsf{mathfont} first checks whether you previously loaded \textsf{fontspec}, and if so, the package feeds your entire \meta{font name} argument to \textsf{fontspec}. (You can also say ``|fontspec|'' as the \meta{font name} to select the most recent font used by \textsf{fontspec}.) If you have not loaded \textsf{fontspec}, the package uses its own fontloader. I recommend letting \textsf{mathfont} handle font-loading because when using Lua\TeX, \textsf{mathfont} takes care to load fonts in such a way that full OpenType features are accessible in text and limited OpenType features are accessible in math. While it is also possible to do this in \textsf{fontspec}, it takes some doing.\footnote{The \textsf{luaotfload} package supports two main modes for loading fonts: |node| mode is the default setting, and it supports full OpenType features in text but no OpenType features in math. The |base| mode supports limited OpenType features, but the features will work for both text and math. When \textsf{mathfont} loads a font, it does so twice, once in |node| mode, which is primarily for setting the text font with \vrb\setfont, and once in |base| mode, which is for the package's other font declarations. This way you will be able to use OpenType features throughout your document.}


The last five keywords in Table~\ref{Keywords} are a bit different. If you call |\mathfont| on a \meta{keyword} from the last five rows in Table~\ref{Keywords}, the package defines the macro
\begin{code}
|\math|\meta{keyword}|{|\meta{text}|}|
\end{code}
to typeset them. For example,
\begin{code}
|\mathfont[bb]{STIXGeneral}|
\end{code}
sets STIXGeneral as the font for bold calligraphic characters and defines |\mathbb| to access them. These are not for use with any double-struck, caligraphic, or fraktur font. Rather, they access Unicode's math alphanumeric symbols block. If you want to use a font where the regular letters appear double-struck, caligraphic, or fraktur, consider the font-changing control sequences in the next section.

\section{Local Font Changes}

With \textsf{mathfont}, it is possible to create commands that locally change the font for math alphabet characters, i.e.\ those marked as alphabetic in Table~\ref{Keywords}. The eight commands in Table~\ref{MathAlpha} accept a \meta{control sequence} as their first mandatory argument and a \meta{font name} as the second, and they define the \meta{control sequence} to typeset any math alphabet characters in their argument into the \meta{font name}. For example, the macro |\newmathrm| looks like
\begin{code}
|\newmathrm{|\meta{control sequence}|}{|\meta{font name}|}|.
\end{code}
It defines the \textit{control sequence} in its first argument to accept a string of characters that it then converts to the \textit{font name} in the second argument with upright shape and medium weight. Writing
\begin{code}
|\newmathrm{\matharial}{Arial}|
\end{code}
creates the macro
\begin{code}
|\matharial{|\meta{argument}|}|,
\end{code}
which can be used only in math mode and which converts the math alphabet characters in its \meta{argument} into the Arial font with upright shape and medium weight. The other commands in Table~\ref{MathAlpha} function in the same way except that they select different series or shape values. Finally, know that if the user specifies the font for Greek letters using |\mathfont|, macros created with the commands from this section will affect those characters, unlike in traditional \LaTeX. Similarly, the local font-change commands will affect Cyrillic and Hebrew characters after the user calls |\mathfont| for those keywords.

\begin{figure}[t]
\labelfig{MathAlpha}
\centerline{\bfseries Table \the\fig: Macros to Create Local Font-Change Commands\strut}
\global\advance\fig by 1\relax
\begin{tabularx}\textwidth{XXX}\toprule
Command & Series & Shape\\\midrule
|\newmathrm| & Medium & Upright\\
|\newmathit| & Medium & Italic\\
|\newmathbf| & Bold & Upright\\
|\newmathbfit| & Bold & Italic\\
|\newmathsc| & Medium & Small Caps\\
|\newmathscit| & Medium & Italic Small Caps\\
|\newmathbfsc| & Bold & Small Caps\\
|\newmathbfscit| & Bold & Italic Small Caps\\\bottomrule
\end{tabularx}
\end{figure}

Together these eight commands will provide users with tools for most local font changes, but they won't be able to address everything. Accordingly, \textsf{mathfont} provides the more general |\newmathfontcommand| macro. Its structure is
\begin{code}
|\newmathfontcommand{|\meta{control sequence}|}{|\meta{font name}|}{|\meta{series}|}{|\meta{shape}|}|,
\end{code}
where the \meta{control sequence} in the first argument again becomes the macro that changes characters to the \meta{font name}. You are welcome to use a system font name with |\newmathfontcommand|, but the intention behind this command is that you can use an \textsc{nfss} family name for the \meta{font name}. Then the series and shape values can correspond to more obscure font faces from the \textsc{nfss} family that you would be otherwise unable to access. The commands from Table~\ref{MathAlpha} as well as |\newmathfontcommand| should appear in the preamble only.


\section{Default Math Parameters}

Lua\TeX\ uses the MathConstants table from the most recent font assigned for use in math mode, and this means that in a document with multiple math fonts, the choice of MathConstants table can depend on the order of font declaration and be unpredictable. To avoid potential problems from using the wrong MathConstants table, \textsf{mathfont} provides the command
\begin{code}
|\mathconstantsfont[|\meta{shape}|]{|\meta{prev arg}|}|,
\end{code}
where \meta{shape} is an optional argument that can be ``|upright|'' (default) or ``|italic|,'' and \meta{prev arg} should be any argument that you have previously fed to |\mathfont|. When you call |\mathconstantsfont|, \textsf{mathfont} forces Lua\TeX\ to always use the MathConstants table from the font that corresponded to that instance of |\mathfont| in the specified \meta{shape}. You don't need to set the MathConstants table when you use |\setfont| because the package calls |\mathconstantsfont| automatically when you use |\setfont|. This command will not work in \XeTeX\ and should appear only in the preamble.



\section{Lua Font Adjustments}

\begin{figure}[t]
\labelfig{Charm}
\centerline{\bfseries Table \the\fig: Number of Integers Required in \vrb\CharmLine\strut}
\global\advance\fig by 1\relax
\begin{tabularx}\textwidth{lX}\toprule
Type of Character & \hfil Total Number of Entries\\\midrule
Latin Letters & \hfil5 \\
Delimiters, Radical Sign (Surd Character), Big Operators & \hfil33\\
Everything Else & \hfil3\\\bottomrule
\end{tabularx}
\end{figure}


The \textsf{mathfont} package provides six user-level commands to change positioning of characters in math mode. The commands |\CharmLine| and |\CharmFile| affect specific to various characters. (Charm stands for ``character metric.'') The argument of |\CharmLine| should be a list of integers and/or asterisks separated by commas and/or spaces, and Table~\ref{Charm} shows how many integers you need for different types of characters. The first integer from the argument should be a unicode encoding number, and that tells \textsf{mathfont} how to handle the remaining values.
\begin{itemize}
\item If the unicode value corresponds to a Latin letter, the next two integers tell Lua\TeX\ how much to stretch the left and right sides of the glyph's bounding box when it appears in math mode. The final two integers determine horizontal placement of top and bottom math accents respectively.
\item If the unicode value corresponds to a delimiter, the radical (surd) symbol, or a big operator, you will need to specify 16 pairs numbers, for a total of 32 entries. The first 15 pairs are horizontal and vertical scale factors that \textsf{mathfont} uses to create large variants, where successive pairs correspond to the next-larger glyph. The last two integers determine horizontal placement of top and bottom math accents respectively.
\item If the unicode value corresponds to any other symbol, you should specify two more integers, which will determine the horizontal placement of top and bottom math accents respectively.
\end{itemize}
Writing an asterisk tells \textsf{mathfont} to use whatever value it has saved in memory, either the default value or the value from the most recent call to |\CharmLine| or |\CharmFile|. If you specify too few charm values, \textsf{mathfont} will raise an error, but if you provide too many, \textsf{mathfont} will silently ignore the extras.

\begin{figure}[b]
\labelfig{Factors}
\centerline{\bfseries Table \the\fig: Commands to Adjust Individual Characters\strut}
\global\advance\fig by 1\relax
\begin{tabularx}\textwidth{llX}\toprule
Command & Default Value & What It Does\\\midrule
|\RuleThicknessFactor| & 1000 & Thickness of fraction rule and radical overbar\\
|\IntegralItalicFactor| & 400 & Positioning of limits for integrals\\
|\SurdVerticalFactor| & 1000 & Vertical positioning of radical overbar\\
|\SurdHorizontalFactor| & 1000 & Horizontal positioning of radical overbar\\\bottomrule
\end{tabularx}
\end{figure}


For most applications, you can probably ignore charm information altogether, but if you find bounding boxes or accent placement to be off slightly or if you want to change the scaling for a delimiter or big operator, you should try calling |\CharmLine| with different values to see what works. As is typical with decimal inputs in \TeX, \textsf{mathfont} divides your inputs by 1000 before computing with them. Positive integers mean ``increase,'' and negative integers mean ``decrease.'' For a given character, the scale is usually the glyph width. For example,
\begin{code}
|\CharmLine{97, 200, -200, *, 50}|
\end{code}
tells \textsf{mathfont} to take the lower-case ``a'' (unicode encoding value of 97), increase the bounding box on the left side by 20\% of the glyph width, decrease the bounding box on the right side by 20\% of the glyph width, do nothing to the top accent, and shift the bottom accent right by 5\% of the glyph width. There is no general formula for what charm values to use for a given font! Rather, you will need to make a design choice based on what looks best, and if you regularly use a particular font, consider making a custom set of charm values uploading it to \textsc{ctan}. Additionally, if you store your charm information in a file, you can read it in with |\CharmFile|. The argument of this command should be a file name, and \textsf{mathfont} reads the file and feeds each line individually to |\CharmLine|.


The commands in Table~\ref{Factors} adjust other aspects of the font as indicated. Each command accepts a single integer as an argument, and \textsf{mathfont} once again divides the input by 1000. With each of these macros, \textsf{mathfont} multiplies the quotient by some default length, so values greater than or less than 1000 mean ``scale up'' or ``scale down'' respectively. For example,
\begin{code}
|\RuleThicknessFactor{2000}|
\end{code}
doubles the thickness of the fraction rule and radical overbar relative to the default, which varies between fonts. Changing the |\RuleThicknessFactor| is useful for fonts with particularly heavy or light weight, and the |\IntegralItalicFactor| is important for making limits better fit integral signs, and the |\SurdVerticalFactor| and |\SurdHorizontalFactor| commands are essential when the top of the surd glyph differs from the top of its bounding box. The six control sequences from this section should appear in the preamble only.


\begin{figure}[tb]
\labelfig{Callbacks}
\centerline{\bfseries Table \the\fig: Lua Callbacks Created by \textsf{mathfont}\strut}
\global\advance\fig by 1\relax
\begin{tabularx}\textwidth{lX}\toprule
Callback Name & What It Does By Default\\\midrule
|"mathfont.inspect_font"| &  Nothing\\\midrule
|"mathfont.pre_adjust"| & Nothing\\
|"mathfont.disable_nomath"| &  Tell Lua\TeX\ that we have a math font\\
|"mathfont.add_math_constants"| &  Create a MathConstants table\\
|"mathfont.fix_character_metrics"|&  \raggedright\arraybackslash Adjust bounding boxes, add character-specific math fields, create large variants\\
|"mathfont.post_adjust"| &  Nothing\\\bottomrule
\end{tabularx}
\end{figure}

Finally, advanced users who want to interact with the font adjustment process directly should use the six callbacks in Table~\ref{Callbacks}. When Lua\TeX\ loads a font, \textsf{mathfont} (1) always calls |mathfont.inspect_font| and (2) calls the other five callbacks in the order that they appear in Table~\ref{Callbacks} if the font object contains |nomath=true|. Functions added to these callbacks should accept a font object as a single argument and return nothing. Further, please be careful when loading functions in the |disable_nomath|, |add_math_constants|, and |fix_character_metrics| callbacks. If you add a function there, Lua\TeX\ will not carry out the default behvaior associated with the callback, so do not mess with these three callbacks unless you are duplicating the default behavior of the callback or you really know what you're doing. Otherwise, you risk breaking the package. See |mathfont_code.pdf| for more information.



\end{document}
%</user>
%<*chars>
\documentclass[12pt,twoside]{article}
\makeatletter
\usepackage[margin=72.27pt]{geometry}
\usepackage{tabularx}
\usepackage{booktabs}
\usepackage{multicol}
\usepackage{graphicx}
\usepackage{mathfont}
\mathfont[agreeklower=upright,agreekupper]{Crimson}
\mathfont[hebrew]{Coelacanth}
\mathfont[\M@keys]{STIXGeneral}
\usepackage{shortvrb,doc}
\MakeShortVerb{|}
\raggedcolumns
\parskip=0pt
\smallskipamount=2pt plus 1pt minus 1pt
\multicolsep=0pt
\premulticols=0pt
\fboxrule=1pt
\CharmLine{8747 1200 1700 * * * * * * * * * * * * * *
  * * * * * * * * * * * * * * * * * * * * }
\CharmLine{8748 1200 1700 * * * * * * * * * * * * * *
  * * * * * * * * * * * * * * * * * * * * }
\CharmLine{8749 1200 1700 * * * * * * * * * * * * * *
  * * * * * * * * * * * * * * * * * * * * }
\CharmLine{8750 1200 1700 * * * * * * * * * * * * * *
  * * * * * * * * * * * * * * * * * * * * }
\CharmLine{8751 1200 1700 * * * * * * * * * * * * * *
  * * * * * * * * * * * * * * * * * * * * }
\CharmLine{8752 1200 1700 * * * * * * * * * * * * * *
  * * * * * * * * * * * * * * * * * * * * }
\begin{document}

\def\documentname{Symbol List}
\def\showabstract{1}
\input mathfont_heading.tex

The \textsf{mathfont} package provides tools to access several hundred characters for math typesetting, and this document lists these symbols along with the control sequences to access them. To get access to the symbols from a section of this document, call |\mathfont| with the keyword-option for that section and the name of a font that contains those symbols. The package does not define any math symbols until you call |\mathfont| or |\setfont| (or load \textsf{mathfont} with a font name as package option), and if you see a symbol or control sequence here that is not part of standard \LaTeX, you will not be able to access it until you call |\mathfont| on the corresponding keyword. Further, \textsf{mathfont} does not come with or load any fonts by itself, so you are responsible for the fonts. Not all fonts contain all math symbols, so choose your font wisely!\footnote{Besides letters and digits, most unicode text fonts should contain diacritics, delimiters, and the basic math characters in the keyword |symbols|. Text fonts will often contain square root and basic operator symbols, but they may not be suitable for math typesetting. Greek characters are hit or miss, and it is unusual for English text fonts to contain Cyrillic, Hebrew, ancient Greek, arrows, letterlike characters, or any extended (keywords |extbigops| and |extsymbols|) set of symbols. After you load \textsf{mathfont}, \TeX\ will print a message to the terminal if you try to typeset a missing character from some font.} This document shows ancient Greek in Crimson, Hebrew in Coelacanth, and all other math characters in STIXGeneral.

\begin{figure}[t]
\centerline{\bfseries Table 1: Characters Defined by Multiple Keywords\strut}
\begin{tabularx}\textwidth{XXX}\toprule
Character & Keywords & Default Font\\\midrule
\vrb\increment & \texttt{greekupper} & \texttt{symbols}\\
 & \texttt{symbols} & \\\midrule
\vrb\nabla & \texttt{greekupper} & \texttt{(ext)symbols}\\
 & \texttt{symbols} with Lua\TeX & \\
 & \texttt{extsymbols} with \XeTeX & \\\midrule
\expandafter\vrb\string| & \texttt{symbols} & \texttt{symbols} normally\\
 & \texttt{delimiters} with Lua\TeX & \texttt{delimiters} after |\left|, \hfil\penalty0|\right|, etc.\\\midrule
\vrb\simeq\ and \vrb\cong & \texttt{symbols} & \texttt{extsymbols} \\
 & \texttt{extsymbols} & \\\bottomrule
\end{tabularx}
\end{figure}

As of version 2.0, \textsf{mathfont} artificially adds resizable delimiters and big operator characters to text fonts when you complile with Lua\LaTeX. In this case, square root symbols will automatically resize, big operators will appear larger in |\displaystyle|, and you can use |\left|, |\right|, and |\big|, etc.\ with characters from the keyword |delimiters|. If you use \XeTeX, \textsf{mathfont} will not create large variants of characters, and your unicode math symbols will all be the same size as they appear in the font. In this case, you may be best off sticking with the Computer Modern defaults for resizable characters provided they don't clash with the rest of your document. Throughout this document, anything labeled ``Lua\TeX\ only'' means that \textsf{mathfont} provides this functionality only if you enable Lua-based font adjustments. If you load \textsf{mathfont} with the |no-adjust| option, you will not be able to access these features the same as if you compile with \XeTeX.


A few characters appear multiple times in this list. When that happens, it means that \textsf{mathfont} defines the control sequence for multiple keywords. If you call |\mathfont| for only one of those keywords, your symbol will appear in the font associated with that keyword. If you call |\mathfont| on multiple keywords, the package uses the font associated with the default keyword/font for that character. Table~1 lists the default keyword for each command that appears multiple times in this document. If you need unicode encoding slot numbers for character metric adjustments, each symbol corresponds to its standard unicode encoding value, with the exception of the fake angle brackets. When you typeset with Lua\TeX, \textsf{mathfont} artificially adds |\fakelangle|, |\fakerangle|, |\fakellangle|, and |\fakerrangle| to the font in encoding slots 1,044,508--1,044,511 respectively.



\bigskip\centerline{\vrule height 0.5pt width 2.5in}\medskip\smallskip

\catcode`\|=12

\blockheader{lower}{Lower-Case Latin}

\begin{multicols}{3}
\charexample a
\charexample b
\charexample c
\charexample d
\charexample e
\charexample f
\charexample g
\charexample h
\charexample i
\charexample j
\charexample k
\charexample l
\charexample m
\charexample n
\charexample o
\charexample p
\charexample q
\charexample r
\charexample s
\charexample t
\charexample u
\charexample v
\charexample w
\charexample x
\charexample y
\charexample z
\charexample\hbar
\charexample\imath
\charexample\jmath
\end{multicols}

\blockheader{upper}{Upper-Case Latin}

\begin{multicols}{3}
\charexample A
\charexample B
\charexample C
\charexample D
\charexample E
\charexample F
\charexample G
\charexample H
\charexample I
\charexample J
\charexample K
\charexample L
\charexample M
\charexample N
\charexample O
\charexample P
\charexample Q
\charexample R
\charexample S
\charexample T
\charexample U
\charexample V
\charexample W
\charexample X
\charexample Y
\charexample Z
\end{multicols}

\blockheader{diacritics}{Accent}

\begin{multicols}{3}
\accentexample\acute
\accentexample\aacute
\accentexample\dot
\accentexample\ddot
\accentexample\grave
\accentexample\breve
\accentexample\hat
\accentexample\check
\accentexample\bar
\accentexample\mathring
\accentexample\tilde
\end{multicols}

\blockheader{digits}{Arabic Numeral}

\begin{multicols}{3}
\charexample0
\charexample1
\charexample2
\charexample3
\charexample4
\charexample5
\charexample6
\charexample7
\charexample8
\charexample9
\end{multicols}

\blockheader{greekupper}{Upper-Case Greek}

\begin{multicols}{3}
\charexample\Alpha
\charexample\Beta
\charexample\Gamma
\charexample\Delta
\charexample\Epsilon
\charexample\Zeta
\charexample\Eta
\charexample\Theta
\charexample\Iota
\charexample\Kappa
\charexample\Lambda
\charexample\Mu
\charexample\Nu
\charexample\Xi
\charexample\Omicron
\charexample\Pi
\charexample\Rho
\charexample\Sigma
\charexample\Tau
\charexample\Upsilon
\charexample\Phi
\charexample\Chi
\charexample\Psi
\charexample\Omega
\charexample\varTheta
\charexample\increment
\charexample\nabla
\end{multicols}

\blockheader{greeklower}{Lower-Case Greek}

\begin{multicols}{3}
\charexample\alpha
\charexample\beta
\charexample\gamma
\charexample\delta
\charexample\epsilon
\charexample\zeta
\charexample\eta
\charexample\theta
\charexample\iota
\charexample\kappa
\charexample\lambda
\charexample\mu
\charexample\nu
\charexample\xi
\charexample\omicron
\charexample\pi
\charexample\rho
\charexample\sigma
\charexample\tau
\charexample\upsilon
\charexample\phi
\charexample\chi
\charexample\psi
\charexample\omega
\charexample\varbeta
\charexample\varepsilon
\charexample\varkappa
\charexample\vartheta
\charexample\varrho
\charexample\varsigma
\charexample\varphi
\end{multicols}

\blockheader{agreekupper}{Upper-Case Ancient Greek}

\begin{multicols}{3}
\charexample\Heta
\charexample\Sampi
\charexample\Digamma
\charexample\Koppa
\charexample\Stigma
\charexample\Sho
\charexample\San
\charexample\varSampi
\charexample\varDigamma
\charexample\varKoppa
\end{multicols}

\blockheader{agreeklower}{Lower-Case Ancient Greek}

\begin{multicols}{3}
\charexample\heta
\charexample\sampi
\charexample\digamma
\charexample\koppa
\charexample\stigma
\charexample\sho
\charexample\san
\charexample\varsampi
\charexample\vardigamma
\charexample\varkoppa
\end{multicols}

\blockheader{cyrillicupper}{Upper-Case Cyrillic}

\begin{multicols}{3}
\charexample\cyrA
\charexample\cyrBe
\charexample\cyrVe
\charexample\cyrGhe
\charexample\cyrDe
\charexample\cyrIe
\charexample\cyrZhe
\charexample\cyrZe
\charexample\cyrI
\charexample\cyrKa
\charexample\cyrEl
\charexample\cyrEm
\charexample\cyrEn
\charexample\cyrO
\charexample\cyrPe
\charexample\cyrEr
\charexample\cyrEs
\charexample\cyrTe
\charexample\cyrU
\charexample\cyrEf
\charexample\cyrHa
\charexample\cyrTse
\charexample\cyrChe
\charexample\cyrSha
\charexample\cyrShcha
\charexample\cyrHard
\charexample\cyrYeru
\charexample\cyrSoft
\charexample\cyrE
\charexample\cyrYu
\charexample\cyrYa
\charexample\cyrvarI
\end{multicols}

\blockheader{cyrilliclower}{Lower-Case Cyrillic}

\begin{multicols}{3}
\charexample\cyra
\charexample\cyrbe
\charexample\cyrve
\charexample\cyrghe
\charexample\cyrde
\charexample\cyrie
\charexample\cyrzhe
\charexample\cyrze
\charexample\cyri
\charexample\cyrka
\charexample\cyrel
\charexample\cyrem
\charexample\cyren
\charexample\cyro
\charexample\cyrpe
\charexample\cyrer
\charexample\cyres
\charexample\cyrte
\charexample\cyru
\charexample\cyref
\charexample\cyrha
\charexample\cyrtse
\charexample\cyrche
\charexample\cyrsha
\charexample\cyrshcha
\charexample\cyrhard
\charexample\cyryeru
\charexample\cyrsoft
\charexample\cyre
\charexample\cyryu
\charexample\cyrya
\charexample\cyrvari
\end{multicols}

\blockheader{hebrew}{Hebrew}

\begin{multicols}{3}
\charexample\aleph
\charexample\beth
\charexample\gimel
\charexample\daleth
\charexample\he
\charexample\vav
\charexample\zayin
\charexample\het
\charexample\tet
\charexample\yod
\charexample\kaf
\charexample\lamed
\charexample\mem
\charexample\nun
\charexample\samekh
\charexample\ayin
\charexample\pe
\charexample\tsadi
\charexample\qof
\charexample\resh
\charexample\shin
\charexample\tav
\charexample\varkaf
\charexample\varmem
\charexample\varnun
\charexample\varpe
\charexample\vartsadi
\end{multicols}

\medskip
\def\temp{; shown in \texttt{\vrb\big}, etc.\ sizes}
\blockheader{delimiters\aftergroup\temp}{Delimiter}
\medskip
\begin{multicols}{3}
\delimexample(
\delimexample)
\delimexample[
\delimexample]
\delimexample{\{\ifmmode\else\space(Lua\TeX\ only)\fi}
\delimexample{\}\ifmmode\else\space(Lua\TeX\ only)\fi}
\delimexample{|\,\ifmmode\else\space(Lua\TeX\ only)\fi}
\delimexample\lguil
\delimexample\rguil
\delimexample\llguil
\delimexample\rrguil
\luadelimexample\fakelangle
\luadelimexample\fakerangle
\luadelimexample\fakellangle
\luadelimexample\fakerrangle
\hbox to \hsize{\hbox to 0.8in{$\leftbrace$\hfil}\vrb\leftbrace\hfil}
\hbox to \hsize{\hbox to 0.8in{$\rightbrace$\hfil}\vrb\rightbrace\hfil}
\end{multicols}
\medskip

\blockheader{radical}{Square Root}
\smallskip
\begin{multicols}{2}
\charexample\surd
\def\temp{ (Lua\TeX\ only)\hfill}
\charexample{\sqrt{\ifmmode\mkern 12mu\vphantom{1}\else\temp\fi}}
\end{multicols}

\blockheader{bigops}{Big Operator}
\smallskip
\begin{multicols}{2}
\operatorexample\sum
\operatorexample\prod
\operatorexample\intop
\end{multicols}
\medskip

\blockheader{extbigops}{Extended Big Operators}
\smallskip
\begin{multicols}{3}
\operatorexample\coprod
\operatorexample\bigvee
\operatorexample\bigwedge
\operatorexample\bigcap
\operatorexample\bigcup
\operatorexample\bigoplus
\operatorexample\bigotimes
\operatorexample\bigodot
\operatorexample\bigsqcap
\operatorexample\bigsqcup
\operatorexample\iint
\operatorexample\iiint
\operatorexample\oint
\operatorexample\oiint
\operatorexample\oiiint
\end{multicols}

\medskip

\blockheader{symbols}{Basic Math}
\begin{multicols}{3}
\charexample.
\charexample @
\let\par\relax
\charexample\#
\charexample\$
\charexample\%
\charexample\&
\charexample\P
\charexample\S
\charexample\pounds
\charexample|
\charexample\neg
\charexample\infty
\charexample\partial
\charexample\mathbackslash
\charexample\degree
\charexample\increment
\def\temp{ (Lua\TeX only)}
\charexample{\nabla\ifmmode\else\temp\fi}
\charexample'
\charexample\prime
\charexample"
\charexample+
\charexample-
\charexample*
\charexample\times
\charexample/
\charexample\fractionslash
\charexample\div
\charexample\pm
\charexample\bullet
\charexample\dag
\charexample\ddag
\charexample\cdot
\charexample\setminus
\charexample=
\charexample<
\charexample>
\charexample\leq
\charexample\geq
\charexample\sim
\charexample\approx
\charexample\simeq
\charexample\equiv
\charexample\cong
\charexample\mid
\charexample\parallel
\charexample!
\charexample?
\charexample{,\ifmmode\else\phantom{\texttt{comma}} (as \rlap{\vrb\mathpunct)}\fi}
\charexample{\comma\ifmmode\else\space(as \vrb\mathord)\fi}
\charexample{:\ifmmode\else\phantom{\texttt{colon}} (as \vrb\mathrel)\fi}
\charexample{\colon\ifmmode\else\space(as \vrb\mathord)\fi}
\charexample;
\charexample\mathellipsis
\end{multicols}
\blockheader{symbols}{Lua\TeX-only (!) Operator}
\begin{multicols}{3}
\operatorexample\bigat
\operatorexample\bighash
\operatorexample\bigdollar
\operatorexample\bigpercent
\operatorexample\bigand
\operatorexample\bigplus
\operatorexample\bigp
\operatorexample\bigq
\operatorexample\bigS
\operatorexample\bigtimes
\operatorexample\bigdiv
\end{multicols}




\blockheader{extsymbols}{Extended Math}
\begin{multicols}{3}
\charexample\wp
\charexample\Re
\charexample\Im
\charexample\ell
\charexample\forall
\charexample\exists
\charexample\emptyset
\charexample{\nabla\ifmmode\else\space(\XeTeX)\fi}
\charexample\in
\charexample\ni
\charexample\mp
\charexample\angle
\charexample\top
\charexample\bot
\charexample\vdash
\charexample\dashv
\charexample\flat
\charexample\natural
\charexample\sharp
\charexample\bclubsuit
\charexample\clubsuit
\charexample\bdiamondsuit
\charexample\bheartsuit
\charexample\bspadesuit
\charexample\spadesuit
\charexample\wclubsuit
\charexample\wdiamondsuit
\charexample\diamondsuit
\charexample\wheartsuit
\charexample\heartsuit
\charexample\wspadesuit
\charexample\wedge
\charexample\vee
\charexample\cap
\charexample\cup
\charexample\sqcap
\charexample\sqcup
\charexample\amalg
\charexample\wr
\charexample\ast
\charexample\star
\charexample\diamond
\charexample\varcdot
\charexample\varsetminus
\charexample\oplus
\charexample\otimes
\charexample\ominus
\charexample\odiv
\charexample\oslash
\charexample\odot
\charexample\sqplus
\charexample\sqtimes
\charexample\sqminus
\charexample\sqdot
\charexample\in
\charexample\ni
\charexample\subset
\charexample\supset
\charexample\subseteq
\charexample\supseteq
\charexample\sqsubset
\charexample\sqsupset
\charexample\sqsubseteq
\charexample\sqsupseteq
\charexample\triangleleft
\charexample\triangleright
\charexample\trianglelefteq
\charexample\trianglerighteq
\charexample\propto
\charexample\bowtie
\charexample\hourglass
\charexample\therefore
\charexample\because
\charexample\ratio
\charexample\proportion
\charexample\ll
\charexample\gg
\charexample\lll
\charexample\ggg
\charexample\leqq
\charexample\geqq
\charexample\lapprox
\charexample\gapprox
\charexample\simeq
\charexample\eqsim
\charexample\simeqq
\charexample\cong
\charexample\approxeq
\charexample\sssim
\charexample\seq
\charexample\doteq
\charexample\coloneq
\charexample\eqcolon
\charexample\ringeq
\charexample\arceq
\charexample\wedgeeq
\charexample\veeeq
\charexample\stareq
\charexample\triangleeq
\charexample\defeq
\charexample\qeq
\charexample\lsim
\charexample\gsim
\charexample\prec
\charexample\succ
\charexample\preceq
\charexample\succeq
\charexample\preceqq
\charexample\succeqq
\charexample\precsim
\charexample\succsim
\charexample\precapprox
\charexample\succapprox
\charexample\precprec
\charexample\succsucc
\charexample\asymp
\charexample\nin
\charexample\nni
\charexample\nsubset
\charexample\nsupset
\charexample\nsubseteq
\charexample\nsupseteq
\charexample\subsetneq
\charexample\supsetneq
\charexample\nsqsubseteq
\charexample\nsqsupseteq
\charexample\sqsubsetneq
\charexample\sqsupsetneq
\charexample\neq
\charexample\nl
\charexample\ng
\charexample\nleq
\charexample\ngeq
\charexample\lneq
\charexample\gneq
\charexample\lneqq
\charexample\gneqq
\charexample\ntriangleleft
\charexample\ntriangleright
\charexample\ntrianglelefteq
\charexample\ntrianglerighteq
\charexample\nsim
\charexample\napprox
\charexample\nsimeq
\charexample\nsimeqq
\charexample\simneqq
\charexample\nlsim
\charexample\ngsim
\charexample\lnsim
\charexample\gnsim
\charexample\lnapprox
\charexample\gnapprox
\charexample\nprec
\charexample\nsucc
\charexample\npreceq
\charexample\nsucceq
\charexample\precneq
\charexample\succneq
\charexample\precneqq
\charexample\succneqq
\charexample\precnsim
\charexample\succnsim
\charexample\precnapprox
\charexample\succnapprox
\charexample\nequiv
\end{multicols}


\blockheader{arrows}{Arrow}
\begin{multicols}{2}
\charexample\rightarrow
\charexample\to
\charexample\nrightarrow
\charexample\Rightarrow
\charexample\nRightarrow
\charexample\Rrightarrow
\charexample\longrightarrow
\charexample\Longrightarrow
\charexample\rightbararrow
\charexample\mapsto
\charexample\Rightbararrow
\charexample\longrightbararrow
\charexample\longmapsto
\charexample\Longrightbararrow
\charexample\hookrightarrow
\charexample\rightdasharrow
\charexample\rightharpoonup
\charexample\rightharpoondown
\charexample\rightarrowtail
\charexample\rightoplusarrow
\charexample\rightwavearrow
\charexample\rightsquigarrow
\charexample\longrightsquigarrow
\charexample\looparrowright
\charexample\curvearrowright
\charexample\circlearrowright
\charexample\twoheadrightarrow
\charexample\rightarrowtobar
\charexample\rightwhitearrow
\charexample\rightrightarrows
\charexample\rightrightrightarrows
\charexample\leftarrow
\charexample\from
\charexample\nleftarrow
\charexample\Leftarrow
\charexample\nLeftarrow
\charexample\Lleftarrow
\charexample\longleftarrow
\charexample\Longleftarrow
\charexample\leftbararrow
\charexample\mapsfrom
\charexample\Leftbararrow
\charexample\longleftbararrow
\charexample\longmapsfrom
\charexample\Longleftbararrow
\charexample\hookleftarrow
\charexample\leftdasharrow
\charexample\leftharpoonup
\charexample\leftharpoondown
\charexample\leftarrowtail
\charexample\leftoplusarrow
\charexample\leftwavearrow
\charexample\leftsquigarrow
\charexample\longleftsquigarrow
\charexample\looparrowleft
\charexample\curvearrowleft
\charexample\circlearrowleft
\charexample\twoheadleftarrow
\charexample\leftarrowtobar
\charexample\leftwhitearrow
\charexample\leftleftarrows
\charexample\leftleftleftarrows
\charexample\leftrightarrow
\charexample\Leftrightarrow
\charexample\nLeftrightarrow
\charexample\longleftrightarrow
\charexample\Longleftrightarrow
\charexample\leftrightwavearrow
\charexample\leftrightarrows
\charexample\leftrightharpoons
\charexample\leftrightarrowstobar
\charexample\rightleftarrows
\charexample\rightleftharpoons
\charexample\uparrow
\charexample\Uparrow
\charexample\Uuparrow
\charexample\upbararrow
\charexample\updasharrow
\charexample\upharpoonleft
\charexample\upharpoonright
\charexample\twoheaduparrow
\charexample\uparrowtobar
\charexample\upwhitearrow
\charexample\upwhitebararrow
\charexample\upuparrows
\charexample\downarrow
\charexample\Downarrow
\charexample\Ddownarrow
\charexample\downbararrow
\charexample\downdasharrow
\charexample\zigzagarrow
\charexample\lightningboltarrow
\charexample\downharpoonleft
\charexample\downharpoonright
\charexample\twoheaddownarrow
\charexample\downarrowtobar
\charexample\downwhitearrow
\charexample\downdownarrows
\charexample\updownarrow
\charexample\Updownarrow
\charexample\updownarrows
\charexample\downuparrows
\charexample\updownharpoons
\charexample\downupharpoons
\charexample\nearrow
\charexample\Nearrow
\charexample\nwarrow
\charexample\Nwarrow
\charexample\searrow
\charexample\Searrow
\charexample\swarrow
\charexample\Swarrow
\charexample\nwsearrow
\charexample\neswarrow
\charexample\lcirclearrow
\charexample\rcirclearrow
\end{multicols}


\blockheader{bb}{Blackboard Bold}

\letterlikechars\mathbb
\hbox to 10em{\printchars\digits}

\blockheader{cal}{Caligraphic}

\letterlikechars\mathcal

\blockheader{frak}{Fraktur}

\letterlikechars\mathfrak

\blockheader{bcal}{Bold Calligraphic}

\letterlikechars\mathbcal

\blockheader{bfrak}{Bold Fraktur}

\letterlikechars\mathbfrak

\end{document}
%</chars>
%<*equations>
\begin{multicols}{2}
\let\medskip\relax

Black-Scholes Equation
\[
\frac{\partial V}{\partial t}+\frac12\sigma^2S^2\frac{\partial^2V}{\partial S^2}=
  rV-rS\frac{\partial V}{\partial X}
\]
\medskip

Cardano's Formula/Cubic Formula
\begin{align*}
t_i&=\omega_i\sqrt[3]{-\frac q2+\sqrt{\frac{q^2}4+\frac{p^3}{27}}}\\
  &\qquad\qquad{}+\omega_i^2\sqrt[3]{-\frac q2-\sqrt{\frac{q^2}4+\frac{p^3}{27}}}
\end{align*}
\medskip

Einstein's Field Equation (General Relativity)
\[
R_{\mu\nu}-\frac12Rg_{\mu\nu}+\Lambda g_{\mu\nu}=\frac{8\pi G}{c^4}T_{\mu\nu}
\]
\medskip

First Isomorphism Theorem
\[
\phi(X)\cong X/\ker(\phi)
\]
\medskip

Gauss-Bonnet Formula
\[
\int_MK\ dA+\int_{\partial M}k_g\ ds=2\pi\chi(M)
\]
\medskip

Maxwell's Equations
\begin{align*}
\nabla\bullet\mathbf E&=\frac\rho{\epsilon_0}&
\nabla\bullet\mathbf B&=0\\
\nabla\times\mathbf E&=-\frac{\partial\mathbf B}{\partial t}&
\nabla\times\mathbf B&=\mu_0\left(\mathbf J+
  \epsilon_0\frac{\partial\mathbf E}{\partial t}\right)
\end{align*}
\medskip

Michaelis-Menten Model
\[
v=\frac{d[P]}{dt}=V\frac{[S]}{K_M+[S]}
\]


%% next column begins here


Navier-Stokes Equation
\begin{align*}
\frac{\partial}{\partial t}(\rho\mathbf{u})+\nabla\bullet
  (\rho \mathbf{u}\otimes \mathbf{u})={}
  &{-}\nabla\bar p+\mu\nabla^2\mathbf{u}\\
  &+\frac13\mu\nabla(\nabla\bullet u)+
  \rho\mathbf{g}
\end{align*}
\medskip


Quadratic Formula
\[
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
\]
\medskip

Ramanujan's Approximation for $\Gamma$
\[
\Gamma(1+x)\approx\sqrt\pi\,x^xe^{-x}\,\sqrt[6]{8x^3+4x^2+x+\frac1{30}}
\]
\medskip


Residue Theorem
\[
\frac1{2i\pi}\int_{\gamma}f(z)\ dz=\sum_{k=1}^n\Res_{a_k}(f)
\]
\medskip


Riemann Zeta Function
\begin{align*}
\zeta(z)&=\sum_{i=1}^\infty\frac1{z^i}
  =\frac1{\Gamma(z)}\int_0^\infty\frac{x^{z-1}}{e^x-1}\ dx\\
  &=2^z\pi^{z-1}\sin\left(\frac{\pi z}2\right)\,\Gamma(1-z)\,\zeta(1-z)
\end{align*}
\medskip

Schrodinger Equation
\[
i\hbar\frac d{dt}|\Psi(t)\fakerangle=\hat H|\Psi(t)\fakerangle
\]
\medskip

Lorentz Transformation (Special Relativity)
\[
t'=\left(t-\frac{vx}{c^2}\right)\frac1{\sqrt{1-\frac{v^2}{c^2}}}
\]

\end{multicols}
%</equations>
%<*cormorant>
\documentclass[12pt]{article}
\makeatletter
\usepackage[margin=1in]{geometry}
\usepackage{innerscript}
\usepackage{multicol}
\usepackage{amsmath}
\DeclareMathOperator{\Res}{Res}
\usepackage{mathfont}
\DeclareFontFamily{TU}{Cormorant}{}
\DeclareFontShape{TU}{Cormorant}{m}{n}
  {<->"Cormorant Medium:\M@otf@features;-liga"}{}
\DeclareFontShape{TU}{Cormorant}{m}{it}
  {<->"Cormorant Medium Italic:\M@otf@features"}{}
\mathfont[greeklower=upright,greekupper]{Crimson}
\mathfont[diacritics]{Bona Nova}
\setfont{Cormorant}
\RuleThicknessFactor{600}
\DeclareMathSymbol{\nabla}{\mathord}{Mupright0}{"2207}
\DeclareMathSymbol{\nabla}{\mathord}{Mupright0}{"2207}
\parindent=0pt\relax
\begin{document}

\let\footnote\@gobble
\def\showabstract{0}
\let\textsf\relax
\let\ttfamily\relax
\def\documentname{Example---Cormorant}

\input mathfont_heading.tex

This is Cormorant with Crimson for Greek characters and Bona Nova for diacritics. ``Testing. Testing.'' Brown foxes quickly jump over dazzling does and harts. This document shows an example of mathfont in action. Unfortunately, there are many more equations in the world than I have space for here. Nevertheless, I hope I hit some of the highlights. Happy \TeX ing!


\input{mathfont_equations.tex}

\end{document}
%</cormorant>
%<*kelvinch>
\documentclass[12pt]{article}
\makeatletter
\usepackage[margin=1in]{geometry}
\usepackage{innerscript}
\usepackage{multicol}
\usepackage{amsmath}
\DeclareMathOperator{\Res}{Res}
\usepackage{mathfont}
\mathfont[radical]{Crimson}
\setfont{Kelvinch}
\IntegralItalicFactor{500}
\SurdHorizontalFactor{900}
\parindent=0pt\relax
\begin{document}

\let\footnote\@gobble
\def\showabstract{0}
\let\textsf\relax
\let\ttfamily\relax
\def\documentname{Example---Kelvinch}

\input mathfont_heading.tex

This is Kelvinch with Crimson for the radical signs. ``Testing. Testing.'' Brown foxes quickly jump over dazzling does and harts. This document shows an example of mathfont in action. Unfortunately, there are many more equations in the world than I have space for here. Nevertheless, I hope I hit some of the highlights. Happy \TeX ing!

\input{mathfont_equations.tex}

\end{document}
%</kelvinch>
%<*roboto>
\documentclass[12pt]{article}
\makeatletter
\usepackage[margin=1in]{geometry}
\usepackage{innerscript}
\usepackage{multicol}
\usepackage{amsmath}
\DeclareMathOperator{\Res}{Res}
\usepackage{mathfont}
\mathfont[radical]{Overpass}
\setfont{Roboto}
\mathfont[]{STIXGeneral}
\DeclareSymbolFont{Mupright2}{TU}{STIXGeneral}{m}{n}
\DeclareMathSymbol{\otimes}{\mathbin}{Mupright2}{"2297}
\RuleThicknessFactor{1900}
\IntegralItalicFactor{500}
\SurdHorizontalFactor{800}
\parindent=0pt\relax
\begin{document}

\let\footnote\@gobble
\def\showabstract{0}
\let\textsf\relax
\let\ttfamily\relax
\def\documentname{Example---Roboto}

\input mathfont_heading.tex

This is Roboto with Overpass for the radical signs and STIXGeneral for the tensor product. ``Testing. Testing.'' Brown foxes quickly jump over dazzling does and harts. This document shows an example of mathfont in action. Unfortunately, there are many more equations in the world than I have space for here. Nevertheless, I hope I hit some of the highlights. Happy \TeX ing!


\input{mathfont_equations.tex}

\end{document}
%</roboto>
%<*typey>
\documentclass[12pt]{article}
\makeatletter
\usepackage[margin=1in]{geometry}
\usepackage{innerscript}
\usepackage{multicol}
\usepackage{amsmath}
\DeclareMathOperator{\Res}{Res}
\usepackage{mathfont}
\mathfont[radical]{Crimson}

%% We have to declare Typey McTypeface manually because
%% it has no bold fontface---we use embolden from luaotflaod
%% to make a fake bold

\DeclareFontFamily{TU}{Typey}{}
\DeclareFontShape{TU}{Typey}{m}{n}
  {<->"Typey McTypeface:\M@otf@features"}{}
\DeclareFontShape{TU}{Typey}{m}{it}
  {<->"Typey McTypeface/I:\M@otf@features"}{}
\DeclareFontShape{TU}{Typey}{b}{n}
  {<->"Typey McTypeface:\M@otf@features;embolden=6"}{}
\DeclareFontShape{TU}{Typey}{b}{it}
  {<->"Typey McTypeface/I:\M@otf@features;embolden=6"}{}

%% We also need to declare Typey-base family for math mode

\DeclareFontFamily{TU}{Typey-base}{}
\DeclareFontShape{TU}{Typey-base}{\mddefault}{\shapedefault}
  {<->"Typey McTypeface:\M@otf@features;mode=base"}{}
\DeclareFontShape{TU}{Typey-base}{\mddefault}{\itdefault}
  {<->"Typey McTypeface/I:\M@otf@features;mode=base"}{}
\DeclareFontShape{TU}{Typey-base}{\bfdefault}{\shapedefault}
  {<->"Typey McTypeface:\M@otf@features;embolden=6;mode=base"}{}
\DeclareFontShape{TU}{Typey-base}{\bfdefault}{\itdefault}
  {<->"Typey McTypeface/I:\M@otf@features;embolden=6;mode=base"}{}
\setfont{Typey}
\mathfont[]{STIXGeneral}
\DeclareSymbolFont{Mroman2}{TU}{STIXGeneral}{m}{n}
\DeclareMathSymbol{\otimes}{\mathbin}{Mroman2}{"2297}
\RuleThicknessFactor{1300}
\SurdHorizontalFactor{860}
\parindent=0pt\relax
\begin{document}

\let\footnote\@gobble
\def\showabstract{0}
\let\textsf\relax
\let\ttfamily\relax
\def\documentname{Example---Typey McTypeface}

\input mathfont_heading.tex

This is Typey McTypeface with Crimson for the radical signs and STIXGeneral for the tensor product. ``Testing. Testing.'' Brown foxes quickly jump over dazzling does and harts. This document shows mathfont in action. Unfortunately, there are many more equations in the world than I have space for here. Nevertheless, I hope I hit some of the highlights. Happy \TeX ing!

\let\bullet\cdot
\input{mathfont_equations.tex}

\end{document}
%</typey>
%<*heading>

% package date and edition
\def\packagedate{December 2022}
\def\packageversion{2.2}

% header and footer commands



\let\@@section\section
\def\section{\@ifstar\star@sect\no@star@sect}
\def\star@sect#1{\@@section*{#1}\section@name{#1}}
\def\no@star@sect#1{\@@section{#1}\section@name{#1}}
\def\section@name#1{\expandafter
  \def\csname section@\thesection\endcsname{#1}}
\def\sectionname{\csname section@\thesection\endcsname}

\def\@oddhead{\ifnum\count0>1\relax
  \rlap{\textit{\sectionname}}\hfil
  \hbox to 0pt{\hss\documentname\hss}\hfil
  \llap{\the\count0}\fi}
\def\@evenhead{\ifnum\count0>1\relax
  \rlap{\the\count0}\hfil
  \hbox to 0pt{\hss\documentname\hss}\hfil
  \llap{\textit{\sectionname}}\fi}
\def\@oddfoot{\hfil\ifnum\count0=1\relax1\fi\hfil}
\let\@evenfoot\@empty

% penalties
\pretolerance=20
\hyphenpenalty=10
\exhyphenpenalty=5
\brokenpenalty=0
\clubpenalty=5
\widowpenalty=5
\finalhyphendemerits=300
\doublehyphendemerits=500

% general macros
\protected\def\XeTeX{X\kern-0.1em
  \raise-0.5ex\hbox{\rotatebox[origin=c]{180}{E}}\kern-0.15em
  \TeX}
\protected\def\XeLaTeX{X\kern-0.1em
  \raise-0.5ex\hbox{\rotatebox[origin=c]{180}{E}}\kern-0.13em
  \LaTeX}
\bgroup
  \count@\catcode`\|
  \catcode`\|=12\relax
  \gdef\indexpage#1{\index{#1|usage}}
\egroup
\protected\def\usage#1{\textit{#1}}
\bgroup
\catcode`\_=12
  \protected\gdef\fontspeccommand{\texttt{\string\fontspec_set_family:Nnn}}
  \protected\gdef\fontspecbool{\texttt{\string\g__fontspec_math_bool}}
\egroup
\def\topfraction{1}
\def\bottomfraction{1}
\let\code\@undefined
\newenvironment{code}
  {\strut\vadjust\bgroup\medskip\parindent\z@\leftskip2em\relax
    \noindent\strut\ignorespaces}
  {\strut\par\medskip\egroup\hfill\break\strut\ignorespacesafterend}
\def\vrb#1{\expandafter\texttt\expandafter{\string#1}}
\parskip=0pt

% symbol list macros
\def\charexample#1{\hbox to \hsize{\hbox to 0.4in{$#1$\hfil}\vrb#1\hfil}}
\def\accentexample#1{\hbox to \hsize{\hbox to 0.4in{$#1 a$\hfil}\vrb#1\hfil}}
\def\delimexample#1{\hbox to \hsize{%
  \hbox to 0.8in{$#1\big#1\Big#1\bigg#1\Bigg#1$\hfil}\vrb#1\hfil}}
\def\luadelimexample#1{\hbox{\vbox{\hbox to 0.8in{%
    $#1\big#1\Big#1\bigg#1\Bigg#1$\hfil}\hrule width 0pt height 0pt\relax}%
  \hbox to \dimexpr\hsize-0.8in{\vbox{\vss
    \hbox{\vrb#1}
    \hbox{\quad(Lua\TeX only)}
    \vss}\hfil}}}
\def\operatorexample#1{\hbox to \hsize{%
  \hbox to 0.4in{$#1$\hfil}%
  \hbox to 0.4in{$\displaystyle#1$\hfil}\vrb#1\hfil}\smallskip}
\def\blockheader#1#2{%
  \bigskip\medskip
  \penalty-9000
  \hbox{\fbox{\hbox to \dimexpr\hsize-2\fboxrule-2\fboxsep\relax{%
    \hfil#2 Characters (Keyword \texttt{#1})\strut\hfil}}}
  \medskip}
\def\upperalphabet{ABCDEFGHIJKLMNOPQRSTUVWXY}
\def\loweralphabet{abcdefghijklmnopqrstuvwxy}
\def\digits{0123456789}
\def\printchars#1{%
  \expandafter\@tfor\expandafter\letter\expandafter:\expandafter=#1\do{%
  \rlap{$\@tempstyle{\letter}$}\hfill}}
\def\letterlikechars#1{\smallskip\let\@tempstyle#1
  \noindent\printchars\upperalphabet\hbox to 0.6em{$\@tempstyle{Z}$\hss}\par
  \noindent\printchars\loweralphabet\hbox to 0.6em{$\@tempstyle{z}$\hss}\par}

% title information
{\large\parindent=0pt\leftskip=0pt plus 1 fil\rightskip=0pt plus 1fil\parfillskip=0pt
{\strut\Large Package \textsf{mathfont} v.\ \packageversion\ \documentname\let\thefootnote\relax\footnote{Acknowledgements: Thanks to Lyric Bingham for her work checking my unicode hex values. Thanks to Herbert Voss and Andreas Zidak for pointing out bugs in previous versions of \textsf{mathfont}. Thanks to Jean-Fran\c cois Burnol for pointing out an error in the documentation in reference to their \textsf{mathastext} package.}\global\advance\c@footnote\m@ne}\par
{\strut Conrad Kosowsky}\par
{\strut\packagedate}\par
{\strut\ttfamily kosowsky.latex@gmail.com}\par}

\bigskip

\ifnum\showabstract=1\relax
% off-the-shelf insert

\hrule height \p@\hbox{\vrule width \p@\kern-\p@\relax\vbox{\medskip
{\leftskip=1.4in\rightskip=1.4in
\noindent\strut For easy, off-the-shelf use, type the following in your preamble and compile with \XeLaTeX\ or Lua\LaTeX:\par
\medskip
\vbox{\noindent\hfil{|\usepackage[|\meta{font name}|]{mathfont}|}\hfil}
\medskip
\noindent As of version 2.0, using Lua\LaTeX\ is recommended.\par}
\medskip}\kern-\p@\vrule width \p@}\hrule height \p@

\bigskip

{\small

\centerline{\bfseries Overview\strut}
\smallskip

\leftskip=0.5in\relax
\rightskip=0.5in\relax
\noindent The \textsf{mathfont} package adapts unicode text fonts for math mode. The package allows the user to specify a default unicode font for different classes of math symbols, and it provides tools to change the font locally for math alphabet characters. When typesetting with Lua\TeX, \textsf{mathfont} adds resizable delimiters, big operators, and a MathConstants table to text fonts.\par}

\bigskip\bigskip\nointerlineskip
\centerline{\vrule height 0.5pt width 2.5in}\bigskip\medskip
\fi
%</heading>
%<*doc>

% definitions and a new toks
\let\?\SpecialUsageIndex
\expandafter\newif\csname if@def\endcsname
\newtoks\index@nomainlist
\index@nomainlist{}
\MacrocodeTopsep=2.5pt plus 3pt minus 1pt
\def\@defname{def}
\def\@edefname{edef}
\def\@letname{let}
\let\main\textbf

% choose macros not to index by definition
\def\DoNotIndexMain{\bgroup
  \catcode`\\=12\relax
  \do@not@index@main}
\def\do@not@index@main#1{\egroup
  \index@nomainlist\expandafter{\the\index@nomainlist#1,}}

% the patch
\def\macro@finish{\macro@namepart
  \if@def
    \@deffalse
    \@expandtwoargs\in@{\macro@namepart}{\the\index@excludelist}\relax
    \ifin@
    \else
      \@expandtwoargs\in@{\macro@namepart}{\the\index@nomainlist}\relax
      \ifin@
        \edef\@tempa{\noexpand\SpecialIndex{\bslash\macro@namepart}}\relax
        \@tempa
      \else
        \edef\@tempa{\noexpand\SpecialMainIndex{\bslash\macro@namepart}}\relax
        \@tempa
      \fi
    \fi
  \else
    \ifx\macro@namepart\@defname
      \@deftrue
    \else
      \ifx\macro@namepart\@edefname
        \@deftrue
      \else
        \ifx\macro@namepart\@letname
          \@deftrue
        \fi
      \fi
    \fi
    \@expandtwoargs\in@{\macro@namepart}{\the\index@excludelist}\relax
    \ifin@
    \else
      \edef\@tempa{\noexpand\SpecialIndex{\bslash\macro@namepart}}\relax
      \@tempa
    \fi
  \fi}

% the other patch (just one change: \parskip\z@ to \parskip 0pt plus 0.2pt)
\def\macro@code{%
   \topsep \MacrocodeTopsep
   \@beginparpenalty0% \predisplaypenalty
   \if@inlabel\leavevmode\fi
   \trivlist \parskip 0pt plus 0.2pt \item[]%
   \macro@font
   \leftskip\@totalleftmargin \advance\leftskip\MacroIndent
   \rightskip\z@ \parindent\z@ \parfillskip\@flushglue
   \blank@linefalse \def\par{\ifblank@line
                             \leavevmode\fi
                             \blank@linetrue\@@par
                             \penalty\interlinepenalty}
   \obeylines
   \let\do\do@noligs \verbatim@nolig@list
   \let\do\@makeother \dospecials
   \global\@newlistfalse
   \global\@minipagefalse
   \ifcodeline@index
     \everypar{\global\advance\c@CodelineNo\@ne
               \llap{\theCodelineNo\ \hskip\@totalleftmargin}%
               \check@module}%
   \else \everypar{\check@module}%
   \fi
   \init@crossref}
%</doc>
% 
% \fi
% 
% \check@checksum
% 
\endinput