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%D \module
%D [ file=math-ini,
%D version=2001.04.12,
%D title=\CONTEXT\ Math Macros,
%D subtitle=Basic Macros,
%D author={Hans Hagen \& Taco Hoekwater},
%D date=\currentdate,
%D copyright=\PRAGMA]
%C
%C This module is part of the \CONTEXT\ macro||package and is
%C therefore copyrighted by \PRAGMA. See mreadme.pdf for
%C details.
%D This module provides namespaces for math fonts, thereby
%D permitting mixed usage of math fonts. Although not strictly
%D needed, we also provide a family name mapping mechanism as
%D used in the (original) AMS math definition files, but here
%D these names can recursively be remapped and if needed,
%D dynamically be changed. We've tried to minimize the number
%D of definition commands and use plain \TEX\ definitions as
%D fallback. We've tried to follow a couple of conventions
%D from plain and AMS math in order to achieve backward
%D compatinility. We also kept an eye on future usage of these
%D modules in the perspective of MathML and unicode fonts.
\unprotect
\def\@mt@{@mt@} % math token
\def\@mt@{@mc@} % math character
\def\@mh@{@mh@} % math handler
\def\@mf@{@mf@} % math family
\def\@mc@{@mc@} % math class
\def\@ml@{@mc@} % math list
\def\@@mathlimopcomm#1{\mathop{#1}\limits}
\def\@@mathnolopcomm#1{\mathop{#1}\nolimits}
\def\@@mathboxcomm #1{\leavevmode\hbox{$\m@th#1$}}
\chardef\mathordcode = 0 \let\mathordcomm \mathord
\chardef\mathopcode = 1 \let\mathopcomm \mathop
\chardef\mathbincode = 2 \let\mathbincomm \mathbin
\chardef\mathrelcode = 3 \let\mathrelcomm \mathrel
\chardef\mathopencode = 4 \let\mathopencomm \mathopen
\chardef\mathclosecode = 5 \let\mathclosecomm \mathclose
\chardef\mathpunctcode = 6 \let\mathpunctcomm \mathpunct
\chardef\mathalphacode = 7 \let\mathalphacomm \firstofoneargument
\chardef\mathinnercode = 0 \let\mathinnercomm \mathinner
\chardef\mathnothingcode= 0 \let\mathnothingcomm \firstofoneargument
\chardef\mathlimopcode = 1 \let\mathlimopcomm \@@mathlimopcomm
\chardef\mathnolopcode = 1 \let\mathnolopcomm \@@mathnolopcomm
\chardef\mathchoicecode = 0 \let\mathchoicecomm \@@mathchoicecomm
\chardef\mathboxcode = 0 \let\mathboxcomm \@@mathboxcomm
\chardef\mathaccentcode = 8
\chardef\mathradicalcode= 9
\def\@@mathchoicecomm#1{[todo #1]}
\def\puremathcode#1{\the\csname math#1code\endcsname}
\def\puremathcomm#1{\csname math#1comm\endcsname}
\newif\iftracemathcollection
\beginETEX \ifcsname
\def\dohandlemathtoken#1%
{\csname\@mt@
\ifcsname\@mt@\mathcollection#1\endcsname
\mathcollection
\else\ifcsname\@mt@\nomathcollection#1\endcsname
\nomathcollection
\fi\fi
#1\endcsname}
\endETEX
\beginTEX
\def\dohandlemathtoken#1%
{\csname\@mt@
\@EA\ifx\csname\@mt@\mathcollection#1\endcsname\relax
\@EA\ifx\csname\@mt@\nomathcollection#1\endcsname\relax
\else
\nomathcollection
\fi
\else
\mathcollection
\fi
#1\endcsname}
\endTEX
\def\definefamilysynonym%
{\dotripleempty\dodefinefamilysynonym}
\def\dodefinefamilysynonym[#1][#2][#3]% [mathcollection] [] []
{\ifthirdargument
\setvalue{\@mf@#1#2}{#3}%
\else
\setvalue{\@mf@ #1}{#2}%
\fi}
\def\purefamily #1{\csname \truefamily{#1}\s!fam\endcsname}
\def\purefamilyhex#1{\csname hex\truefamily{#1}\s!fam\endcsname}
\beginETEX \ifcsname
\def\truefamily#1%
{\ifcsname\@mf@\mathcollection#1\endcsname
\@EA\truefamily\csname\@mf@\mathcollection#1\endcsname
\else\ifcsname\@mf@#1\endcsname
\@EA\truefamily\csname\@mf@#1\endcsname
\else\ifcsname\@mf@\nomathcollection#1\endcsname
\@EA\truefamily\csname\@mf@\nomathcollection#1\endcsname
\else
#1%
\fi\fi\fi}
\endETEX
\beginTEX
\def\truefamily#1%
{\@EA\ifx\csname\@mf@\mathcollection#1\endcsname\relax
\@EA\ifx\csname\@mf@#1\endcsname\relax
\@EA\ifx\csname\@mf@\nomathcollection#1\endcsname\relax
#1%
\else
\@EA\truefamily\csname\@mf@\nomathcollection#1\endcsname
\fi
\else
\@EA\truefamily\csname\@mf@#1\endcsname
\fi
\else
\@EA\truefamily\csname\@mf@\mathcollection#1\endcsname
\fi}
\endTEX
\newif\ifdynamicmathfamilies \dynamicmathfamiliesfalse % true ?
\let\normalpurefamilyhex\purefamilyhex
% todo: reset collection (tok legen) en opnieuw laden met true
\def\definemathsymbol%
{\dosixtupleempty\dodefinemathsymbol}
\def\dodefinemathsymbol[#1][#2][#3][#4][#5][#6]%
{\unexpanded\setgvalue{#1}{\dohandlemathtoken{#1}}%
\ifdynamicmathfamilies \let\purefamilyhex\relax \fi
\setevalue{\@mt@\mathcollection#1}%
{\ifsixthargument
\ifnum\puremathcode{#2}=\mathradicalcode
\radical"%
\else
\delimiter"%
\ifnum\puremathcode{#2}>7 0\else\puremathcode{#2}\fi
\fi
\purefamilyhex{#3}\uchexnumbers{#4}%
\purefamilyhex{#5}\uchexnumbers{#6}\space
\else\iffourthargument
\ifnum\puremathcode{#2}=\mathaccentcode
\mathaccent\else\mathchar
\fi
"\ifnum\puremathcode{#2}>7 0\else\puremathcode{#2}\fi
\purefamilyhex{#3}\uchexnumbers{#4}\space
\fi\fi}%
\let\purefamilyhex\normalpurefamilyhex
\tracemathsymbol{#1}}
\def\tracemathsymbol#1%
{\iftracemathcollection
{\endgraf
\hbox{\tex{#1}~:~{\mathematics{\getvalue{#1}{}}}}
\endgraf}%
\fi}
\def\definemathcharacter%
{\dosixtupleempty\dodefinemathcharacter}
\def\dodefinemathcharacter[#1][#2][#3][#4][#5][#6]%
{\setmathtoks
\ifdynamicmathfamilies \let\purefamilyhex\relax \fi
\doifnumberelse{#1}
{\scratchcounter=#1}
{\scratchcounter=\@EA`\string#1}%
\expanded
{\appendtoks
\ifsixthargument
\delcode\the\scratchcounter="%
\ifnum\puremathcode{#2}>7 0\else\puremathcode{#2}\fi
\purefamilyhex{#3}\uchexnumbers{#4}%
\purefamilyhex{#5}\uchexnumbers{#6}\space
\else\iffourthargument
\mathcode\the\scratchcounter="%
\ifnum\puremathcode{#2}>7 0\else\puremathcode{#2}\fi
\purefamilyhex{#3}\uchexnumbers{#4}\space
\fi\fi
\noexpand\to \noexpand\mathtoks}%
\let\purefamilyhex\normalpurefamilyhex
\tracemathcharacter{#1}}
\def\tracemathcharacter#1%
{\iftracemathcollection
{\endgraf
\doifnumberelse{#1}
{\hbox{\tttf\rawcharacter{#1}~:~{\mathematics{\rawcharacter{#1}}}}}
{\hbox{\type{#1}~:~{\mathematics{#1}}}}
\endgraf}%
\fi}
\def\definemathcommand%
{\dodoubleempty\dodefinemathcommand}
\def\dodefinemathcommand[#1][#2]#3%
{\unexpanded\setgvalue{#1}{\dohandlemathtoken{#1}}%
\ifsecondargument
\setvalue{\@mt@\mathcollection#1}{\puremathcomm{#2}{#3}}%
\else
\setvalue{\@mt@\mathcollection#1}{\puremathcomm{nothing}{#3}}%
\fi
\tracemathcommand{#1}}
\def\tracemathcommand#1%
{\iftracemathcollection
\endgraf
\hbox{\tex{#1}~:~{\mathematics{\getvalue{#1}{}}}}
\endgraf
\fi}
\def\startmathcollection[#1]%
{\pushmacro\mathcollection
\setmathcollection{#1}}
\def\setmathcollection#1%
{\def\mathcollection{#1}%
\doifundefined{\@ml@\mathcollection}
{\expandafter\newtoks\csname\@ml@\mathcollection\endcsname}}
\def\stopmathcollection%
{\popmacro\mathcollection}
\def\startrawmathcollection%
{\pushmacro\iftracemathcollection
\tracemathcollectionfalse
\startmathcollection}
\def\stoprawmathcollection%
{\popmacro\iftracemathcollection
\stopmathcollection}
\newtoks\mathtoks
\def\setmathtoks%
{\@EA\let\@EA\mathtoks\csname\@ml@\mathcollection\endcsname}
\def\currentmathcollection{\mathcollection}
\def\nomathcollection{\s!default}
\def\enablemathcollection[#1]%
{\doifnot{#1}{\s!default}
{\setmathcollection\s!default
\the\csname\@ml@\mathcollection\endcsname}%
\setmathcollection{#1}%
\the\csname\@ml@\mathcollection\endcsname}
% hook 'm into the font mechanism
\definefilesynonym[\f!mathprefix\s!default][\f!mathprefix tex]
\def\usemathcollection[#1]%
{\doinputonce{\truefilename{\f!mathprefix#1}}%
\setvalue{\@mc@\fontclass\@mc@}{#1}}
\def\autoenablemathcollection%
{\doifdefinedelse{\@mc@\fontclass\@mc@}
{\enablemathcollection[\getvalue{\@mc@\fontclass\@mc@}]}
{\enablemathcollection[\s!default]}}
\appendtoks\autoenablemathcollection\to\mathstrategies
\edef\hexmrfam {0} \edef\hexbsfam {8}
\edef\hexmifam {1} \edef\hexbifam {9}
\edef\hexsyfam {2} \edef\hexscfam {A}
\edef\hexexfam {3} \edef\hextffam {B}
\edef\hexitfam {4} \edef\hexmafam {C}
\edef\hexslfam {5} \edef\hexmbfam {D}
\edef\hexbffam {6} \edef\hexmcfam {E}
\edef\hexnnfam {7} \edef\hexmdfam {F}
\definefamilysynonym [default] [letters] [mr]
\definefamilysynonym [default] [operators] [sy]
\definefamilysynonym [default] [lcgreek] [mi]
\definefamilysynonym [default] [ucgreek] [mr]
\definefamilysynonym [default] [vargreek] [mi]
\definefamilysynonym [default] [mitfamily] [mi]
\definefamilysynonym [default] [calfamily] [sy]
\definefamilysynonym [default] [0] [mr]
\definefamilysynonym [default] [1] [mi]
\definefamilysynonym [default] [2] [sy]
\definefamilysynonym [default] [3] [ex]
\enablemathcollection[default]
\usemathcollection[default]
\protect \endinput
\tracemathcollectiontrue
\input math-tex \page
\setupbodyfont[ams] \enablemathcollection[ams] \input math-ams \page
\setupbodyfont[lbr] \enablemathcollection[lbr] \input math-lbr \page
\setupbodyfont[eul] \enablemathcollection[eul] \input math-eul \stoptext
% to be checked
\def\defineactivecharacter #1 #2%
{\scratchcounter=\the\uccode`~
\expandafter\doifnumberelse\expandafter{\string#1}
{\catcode #1=\@@active \uccode`~= #1\relax}
{\catcode`#1=\@@active \uccode`~=`#1\relax}%
\uppercase{\def\next{~}}%
% unexpanded goes wrong in pdfdoc
%\expandafter\unexpanded\expandafter\def\next{#2}%
% better
%\expandafter\def\next{#2}%
% math aware
\expandafter\def\next{\dohandleactivecharacter{#1}{#2}}% new
\uccode`~=\scratchcounter}
\def\dohandleactivecharacter%
{\ifmmode
\expandafter\dohandleactivemathcharacter
\else
\expandafter\secondoftwoarguments
\fi}
\let\dohandleactivemathcharacter\secondoftwoarguments
\def\dohandleactivemathcharacter#1#2%
{\ifundefined{@ma@\string#1}
\expandafter\firstofoneargument
\else
\getvalue{@ma@\string#1}%
\expandafter\gobbleoneargument
\fi{#2}}
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