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|
%D \module
%D [ file=math-ini,
%D version=2008.01.02,
%D title=\CONTEXT\ Math Macros,
%D subtitle=Initializations,
%D author=Hans Hagen,
%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.
\writestatus{loading}{ConTeXt Math Macros / Initializations}
%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
\ifx\v!compact\undefined \def\v!compact{compact} \fi
%D New:
\let\startimath\Ustartmath \let\stopimath \Ustopmath
\let\startdmath\Ustartdisplaymath \let\stopdmath \Ustopmath
%D We move these definitions into the format:
% test [[\char948 \ctxlua{tex.sprint(utf.char(948))}]]
% test $[[\char948 \ctxlua{tex.sprint(utf.char(948))}]]$
\registerctxluafile{math-ini}{1.001}
\registerctxluafile{math-dim}{1.001}
\registerctxluafile{math-ent}{1.001}
\registerctxluafile{math-ext}{1.001}
\registerctxluafile{math-vfu}{1.001}
\registerctxluafile{math-map}{1.001}
\registerctxluafile{math-noa}{1.001}
\definesystemattribute[mathalphabet] \chardef\mathalphabetattribute \dogetattributeid{mathalphabet}
\definesystemattribute[mathsize] \chardef\mathsizeattribute \dogetattributeid{mathsize}
\definesystemattribute[mathpunctuation] \chardef\mathpunctuationattribute \dogetattributeid{mathpunctuation}
\definesystemattribute[mathgreek] \chardef\mathgreekattribute \dogetattributeid{mathgreek}
% todo: only in mmode
\unexpanded\def\mathgreekupright{\attribute\mathgreekattribute11 }
\unexpanded\def\mathgreekitalic {\attribute\mathgreekattribute22 }
\unexpanded\def\mathgreekdefault{\attribute\mathgreekattribute\attributeunsetvalue}
\let\mathgreeknormal\mathgreekupright
\let\mathgreeknone \mathgreekdefault
\def\setmathattribute#1#2{\ifmmode\ctxlua{mathematics.sync_a_both ("#1","#2")}\fi}
\def\setmathalphabet #1{\ifmmode\ctxlua{mathematics.sync_a_name ("#1")}\fi}
\def\setmathstyle #1{\ifmmode\ctxlua{mathematics.sync_a_style("#1")}\fi}
\unexpanded\def\mr {\setmathattribute{regular}{tf}}
\unexpanded\def\mathdefault {\setmathattribute{regular}{it}}
\unexpanded\def\mathscript {\setmathalphabet{script}}
\unexpanded\def\mathfraktur {\setmathalphabet{fraktur}}
\unexpanded\def\mathblackboard{\setmathalphabet{blackboard}}
\unexpanded\def\mathrm{\setmathattribute{rm}{tf}}
\unexpanded\def\mathss{\setmathattribute{ss}{tf}}
\unexpanded\def\mathtt{\setmathattribute{tt}{tf}}
\unexpanded\def\mathtf{\setmathstyle{tf}}
\unexpanded\def\mathbf{\setmathstyle{bf}}
\unexpanded\def\mathsl{\setmathstyle{sl}}
\unexpanded\def\mathit{\setmathstyle{it}}
\unexpanded\def\mathbs{\setmathstyle{bs}}
\unexpanded\def\mathbi{\setmathstyle{bi}}
\let\tfmath\mathtf % maybe a grouped command
\let\bfmath\mathbf
\let\slmath\mathsl
\let\itmath\mathit
\let\bsmath\mathbs
\let\bimath\mathbi
\let\Bbb\mathblackboard
\unexpanded\def\frak {\ifmmode\expandafter\mathfraktur \fi}
\unexpanded\def\cal {\ifmmode\expandafter\mathscript \fi}
\unexpanded\def\bbd {\ifmmode\expandafter\mathblackboard\fi}
\unexpanded\def\blackboard{\ifmmode\expandafter\mathblackboard\fi}
\unexpanded\def\fraktur {\ifmmode\expandafter\mathfraktur \fi}
\unexpanded\def\gothic {\ifmmode\expandafter\mathfraktur \fi}
\unexpanded\def\mathcal #1{{\mathscript #1}} % for AMS compatibility
\unexpanded\def\mathfrak#1{{\mathfraktur #1}} % for AMS compatibility
\unexpanded\def\mathbb #1{{\mathblackboard#1}} % for AMS compatibility
\let\normalmr\mr
% \prependtoks
% \let\mr\normalmr
% \let\rm\mathrm \let\ss\mathss \let\tt\mathtt
% \let\tf\mathtf \let\bf\mathbf \let\it\mathit \let\sl\mathsl \let\bi\mathbi \let\bs\mathbs
% \let\frak\mathfraktur \let\cal\mathscript \let\bbd\mathblackboard
% \mathdefault
% \to \everymathematics
\let\normaltf\tf \unexpanded\def\tf{\ifmmode\mathtf\else\normaltf\fi}
\let\normalbf\bf \unexpanded\def\bf{\ifmmode\mathbf\else\normalbf\fi}
\let\normalit\it \unexpanded\def\it{\ifmmode\mathit\else\normalit\fi}
\let\normalsl\sl \unexpanded\def\sl{\ifmmode\mathsl\else\normalsl\fi}
\let\normalbi\bi \unexpanded\def\bi{\ifmmode\mathbi\else\normalbi\fi}
\let\normalbs\bs \unexpanded\def\bs{\ifmmode\mathbs\else\normalbs\fi}
\let\normalrm\rm \unexpanded\def\rm{\ifmmode\mathrm\else\normalrm\fi}
\let\normalss\ss \unexpanded\def\ss{\ifmmode\mathss\else\normalss\fi}
\let\normaltt\tt \unexpanded\def\tt{\ifmmode\mathtt\else\normaltt\fi}
\unexpanded\def\mr{\ifmmode \normalmr\fi}
\prependtoks
% \let\mr\normalmr
% \let\rm\mathrm \let\ss\mathss \let\tt\mathtt
% \let\tf\mathtf \let\bf\mathbf \let\it\mathit \let\sl\mathsl \let\bi\mathbi \let\bs\mathbs
% \let\frak\mathfraktur \let\cal\mathscript \let\bbd\mathblackboard
\mathdefault
\to \everymathematics
%D \macros
%D {boldsymbol}
%D
%D To be done.
\let\mathboldsymbol\relax % yet unsupported, will be
\def\boldsymbol
{\mathortext\mathboldsymbol\bold}
%D Helpers:
\def\utfmathclass #1{\ctxlua{tex.sprint(mathematics.utfmathclass ("#1"))}}
\def\utfmathstretch#1{\ctxlua{tex.sprint(mathematics.utfmathstretch("#1"))}}
\def\utfmathcommand#1{\ctxlua{tex.sprint(mathematics.utfmathcommand("#1"))}}
\def\utfmathfiller #1{\ctxlua{tex.sprint(mathematics.utfmathfiller ("#1"))}}
% \def\utfmathclassdefault #1#2{\ctxlua{
% tex.sprint(mathematics.utfmathclass("#1","#2"))
% }}
%
% \def\utfmathcommanddefault#1#2#3{\ctxlua{
% local cmd = mathematics.utfmathcommand("#1","") or ""
% if cmd == "" then
% commands.cs("#2","#3")
% else
% commands.cs(cmd)
% end}}
% % %
\def\@@mathlimopcomm #1{\mathop{#1}} %no \limits
\def\@@mathnolopcomm #1{\mathop{#1}\nolimits}
\def\@@mathboxcomm #1{\dontleavehmode\hbox\Ustartmath\mathsurround\zeropoint#1\Ustopmath}
\def\@@mathchoicecomm#1{[todo #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\puremathcode#1{\the\csname math#1code\endcsname}
\def\puremathcomm#1{\csname math#1comm\endcsname}
% \startlines
% $\mathopnolimits{\rm d}x$
% $\mathopnolimits{\kern\zeropoint \rm d}x$
% $\puremathcomm{nolop}{\rm d}x$
% $\puremathcomm{nolop}{\kern\zeropoint\rm d}x$
% \blank
% $\puremathcomm{nolop}{\mr d}x$
% $\puremathcomm{nolop}{\kern\zeropoint\mr d}x$
% $\mathop{\kern\zeropoint\mr d}x$
% $\mathopnolimits{\kern\zeropoint d}x$
% \stoplines
% this will be sorted out:
\let\mathcharacter \getvalue
\let\textcharacter \getvalue
\unexpanded\def\definefamilysynonym {\dotripleempty\dodefinefamilysynonym}
\def\dodefinefamilysynonym [#1][#2][#3]{}
\unexpanded\def\definemathsymbol {\dosixtupleempty\dodefinemathsymbol}
\def\dodefinemathsymbol [#1][#2][#3][#4][#5][#6]{}
\unexpanded\def\definemathcharacter {\dosixtupleempty\dodefinemathcharacter}
\def\dodefinemathcharacter [#1][#2][#3][#4][#5][#6]{}
\unexpanded\def\definemathcommand
{\dotripleempty\dodefinemathcommand}
\def\dodefinemathcommand[#1][#2][#3]#4% command class args meaning
{\ifthirdargument
\processaction
[#3]
[one=>\setuvalue{#1}##1{\puremathcomm{#2}{#4{##1}}},
two=>\setuvalue{#1}##1##2{\puremathcomm{#2}{#4{##1}{##2}}}]%
\else\ifsecondargument
\setuvalue{#1}{\puremathcomm{#2}{#4}}%
\else
\setuvalue{#1}{\puremathcomm{nothing}{#4}}%
\fi\fi}
%D Moved from font-ini.mkiv:
%D
%D \macros
%D {mf,mbox,enablembox,mathop}
%D
%D Todo:
\unexpanded\def\mf
{\csname\fontalternative\endcsname}
\let\normalmathop\mathop
\unexpanded\def\mathop
{\normalmathop
\bgroup
\let\rm\mf
\let\next=}
\def\normalmbox
{\normalhbox\bgroup\mf
\dowithnextbox{\flushnextbox\egroup}\normalhbox}
\def\mbox
{\ifmmode\normalmbox\else\normalhbox\fi}
\def\enablembox
{\appendtoks
\ifx\normalhbox\undefined\let\normalhbox\hbox\fi
\let\hbox\mbox
\to\everymathematics}
%D needed for sin, cos etc
\let\mathfunction\firstofoneargument
\def\mfunction #1{{\mr#1}}
\def\mfunctionlabeltext#1{{\mr\mathlabeltext{#1}}}
% \def\mlimitsfunction #1{\mathlimopcomm{{\mr#1}}
% \def\mnolimitsfunction#1{\mathnolopcomm{{\mr#1}}
%D Taco posted this solution as response to a mail by Olivier, so
%D let's integrate it here.
\def\currentmscaledstyle{rm} % will be plugged into the typeface text=ss option
\unexpanded\def\do@mathopnolimits #1{\mathop{\mscaledtext{#1}}\nolimits}
\unexpanded\def\do@mfunction #1{\mscaledtext{#1}}
\unexpanded\def\do@mfunctionlabeltext#1{\mscaledtext{\mathlabeltext{#1}}}
\def\setmathfunctionstyle#1% rm ss tt (can be made faster if needed)
{\doifsomething{#1}
{\def\currentmscaledstyle{#1}%
\let\mathopnolimits \do@mathopnolimits
\let\mfunction \do@mfunction
\let\mfunctionlabeltext\do@mfunctionlabeltext}}
\def\mscaledtext#1%
{\mathchoice
{\hbox{\csname\currentmscaledstyle\endcsname\tf #1}}
{\hbox{\csname\currentmscaledstyle\endcsname\tf #1}}
{\hbox{\csname\currentmscaledstyle\endcsname\tfx #1}}
{\hbox{\csname\currentmscaledstyle\endcsname\tfxx#1}}}
%D We can force the way functions are typeset by manipulating the text
%D option:
%D
%D \starttyping
%D \definetypeface[iwona][ss][sans][iwona][default][encoding=texnansi]
%D \definetypeface[iwona][mm][math][iwona][default][encoding=texnansi,text=ss]
%D \stoptyping
%D
%D This hooks into the math handler with:
% no longer supported this way, has to be done with \setupmathematics
%
% \appendtoks
% \setmathfunctionstyle\currentmathtextstyle
% \to \everybodyfont
%D Usage:
%D
%D \starttyping
%D \setmathfunctionstyle\fontstyle % or {rm} or {ss} or ..
%D \rm test $\sin{(x^{\sin(x^{\sin(x)})})}$ test
%D \ss test $\sin{(x^{\sin(x^{\sin(x)})})}$ test
%D \tt test $\sin{(x^{\sin(x^{\sin(x)})})}$ test
%D \stoptyping
%D Some goodies:
\def\Angstrom{\nomathematics{\Aring}}
%D \macros
%D {nonknuthmode, donknuthmode}
%D
%D The underscore is frequently used in manuals but unfortunately \TEX\ prefers
%D it to be a math specific character. And since computer modern fonts didn't
%D have an underscore, one had to use commands to fake one. Nowadays we do
%D have underscores in latin modern, and since all other fonts have them, we
%D decided to get away from the restriction to use the underscore character in
%D text mode.
%D
%D \starttyping
%D \def\test#1{#1}
%D
%D \nonknuthmode $x_2$ x_2 \test{$x_2$} \test{x_2}
%D
%D \donknuthmode $x_2$ x_2 \test{$x_2$} \test{x_2}
%D \stoptyping
%D
%D The result is as expected: the first line typesets ok, while the second
%D one triggers an error message.
\newtoks\everydonknuthmode
\newtoks\everynonknuthmode
\def\nonknuthmode{\the\everynonknuthmode\let\nonknuthmode\relax}
\def\donknuthmode{\the\everydonknuthmode}
\ifdefined\normalsuber\else \def\normalsuber{_} \fi
\ifdefined\normalsuper\else \def\normalsuper{^} \fi
\ifdefined\normalaltab\else \def\normalaltab{&} \fi
\bgroup
\catcode`_=\active
\catcode`^=\active
\catcode`&=\active
\global \everynonknuthmode {\appendtoks
\let_\normalsuber
\let^\normalsuper
\let&\normalaltab
\to \everymathematics}
\egroup
\appendtoks
\mathcode`_="8000
\mathcode`^="8000
\mathcode`&="8000
\catcode`_=\@@other
\catcode`^=\@@other
\catcode`&=\@@other
\to \everynonknuthmode
\appendtoks
\catcode`_=\@@subscript
\catcode`^=\@@superscript
\catcode`&=\@@alignment
\to \everydonknuthmode
\appendtoks
\startextendcatcodetable\ctxcatcodes
\catcode`_=\@@other
\catcode`^=\@@other
\catcode`&=\@@other
\stopextendcatcodetable
\to \everynonknuthmode
\appendtoks
\startextendcatcodetable\ctxcatcodes
\catcode`_=\@@subscript
\catcode`^=\@@superscript
\catcode`&=\@@alignment
\stopextendcatcodetable
\to \everydonknuthmode
%D Needed for unicode:
\def\nulloperator{\mathortext{\mathop{\null}}{\null}}
%D To be dealt with ...
\mathcode`\ ="8000 % \space
\mathcode`\'="8000 % ^\prime
\mathcode`\_="8000 % \_
%D \macros
%D {setupmathematics}
%D
%D Configuration for integrals. (If needed we can speed this up and make it
%D installable; no processaction is needed then).
\newtoks\everysetupmathematics
\unexpanded\def\setupmathematics
{\dosingleargument\dosetupmathematics}
\def\dosetupmathematics[#1]%
{\getparameters[\??mo][#1]%
\the\everysetupmathematics}
\def\mathematicsparameter#1{\ifcsname\??mo#1\endcsname\csname\??mo#1\endcsname\fi}
%D Memory saver:
\appendtoks
\doifelse{\mathematicsparameter\v!compact}\v!yes
{\ctxlua{fonts.vf.math.optional=true}}
{\ctxlua{fonts.vf.math.optional=false}}%
\to \everysetupmathematics
\setupmathematics
[\v!compact=no]
%D Delayed: greek.
%D
%D \starttyping
%D \usetypescript[cambria]\setupbodyfont[cambria]
%D \startTEXpage
%D $\alpha \mathgreekupright \alpha \mathgreekitalic \alpha$
%D \stopTEXpage
%D \stoptyping
% [lc uc] normal (upright) = 2, italic = 3, none = 0/1
\setevalue{\??mo:greek:\v!normal :\v!normal}{\attribute\mathgreekattribute22 }
\setevalue{\??mo:greek:\v!normal :\v!italic}{\attribute\mathgreekattribute23 }
\setevalue{\??mo:greek:\v!normal :\v!none }{\attribute\mathgreekattribute21 }
\setevalue{\??mo:greek:\v!italic :\v!normal}{\attribute\mathgreekattribute32 }
\setevalue{\??mo:greek:\v!italic :\v!italic}{\attribute\mathgreekattribute33 }
\setevalue{\??mo:greek:\v!italic :\v!none }{\attribute\mathgreekattribute31 }
\setevalue{\??mo:greek:\v!none :\v!normal}{\attribute\mathgreekattribute12 }
\setevalue{\??mo:greek:\v!none :\v!italic}{\attribute\mathgreekattribute13 }
\setevalue{\??mo:greek:\v!none :\v!none }{\attribute\mathgreekattribute\attributeunsetvalue}
\appendtoks
\csname\??mo:greek:\@@molcgreek:\@@moucgreek\endcsname
\to \everymathematics
\setupmathematics
[lcgreek=\v!italic,
ucgreek=\v!normal] % was: none
%D \macros
%D {enablemathpunctuation,disablemathpunctuation}
%D
%D \startbuffer
%D \enablemathpunctuation$(1,2) (1, 2) (1{,}2) \hbox{foo, not bar}$
%D \stopbuffer
%D
%D \typebuffer
%D
%D \blank{\getbuffer}\blank
\setfalse \automathpunctuation
\def\enablemathpunctuation {\settrue \automathpunctuation}
\def\disablemathpunctuation{\setfalse\automathpunctuation}
\ifx\v!autopunctuation\undefined \def\v!autopunctuation{autopunctuation} \fi
\appendtoks
\doifelse{\mathematicsparameter\v!autopunctuation}\v!yes\enablemathpunctuation\disablemathpunctuation
\to \everysetupmathematics
\appendtoks
\ifconditional\automathpunctuation\attribute\mathpunctuationattribute\plusone\fi
\to \everymathematics
\setupmathematics
[\v!autopunctuation=\v!no]
%D \macros
%D {mathstyle}
%D
%D If one want to be sure that something is typeset in the
%D appropriate style, \type {\mathstyle} can be used:
%D
%D \starttyping
%D \mathstyle{something}
%D \stoptyping
% \def\mathstyle#1%
% {\mathchoice
% {\displaystyle #1}%
% {\textstyle #1}%
% {\scriptstyle #1}%
% {\scriptscriptstyle#1}}
%
% We now have a primitive operation for this. As the
% macro overloads a new primitive introduced in \LUATEX,
% we need to use \type {\normalmathstyle} when we consult
% the current math style.
%
% \let \mathstyle \Ustack % spoils cramped
%
% \let \mathstyle \firstofoneargument
%
% 0 = display
% 1 = crampeddisplay
% 2 = text
% 3 = crampedtext
% 4 = script
% 5 = crampedscript
% 6 = scriptscript
% 7 = crampedscriptscript
\def\uncramped#1%
{{\ifcase\normalmathstyle
\or \displaystyle \or
\or \textstyle \or
\or \scriptstyle \or
\or \scriptscriptstyle \fi
#1}}
\def\cramped#1%
{{\ifcase\normalmathstyle
\crampeddisplaystyle \or \or % 0 -> 1
\crampedtextstyle \or \or % 2 -> 3
\crampedscriptstyle \or \or % 4 -> 5
\crampedscriptscriptstyle \fi % 6 -> 7
#1}}
\def\triggermathstyle#1% #1 is number
{\ifcase#1\relax
\displaystyle \or
\crampeddisplaystyle \or
\textstyle \or
\crampedtextstyle \or
\scriptstyle \or
\crampedscriptstyle \or
\scriptscriptstyle \or
\crampedscriptscriptstyle \else
% error
\fi}
\def\cramped#1%
{{\ifcase\normalmathstyle
\crampeddisplaystyle \or \or % 0 -> 1
\crampedtextstyle \or \or % 2 -> 3
\crampedscriptstyle \or \or % 4 -> 5
\crampedscriptscriptstyle \fi % 6 -> 7
#1}}
\def\mathstylefont#1% #1 is number (\normalmathstyle)
{\ifcase#1\relax
\textfont \or
\textfont \or
\textfont \or
\textfont \or
\scriptfont \or
\scriptfont \or
\scriptscriptfont \or
\scriptscriptfont \else
\textfont
\fi\zerocount}
%D Something similar can be used in the (re|)|definition
%D of \type {\text}. This version is a variation on the one
%D in the math module (see \type{m-math} and|/|or \type
%D {m-newmat}).
\unexpanded\def\mathtext
{\mathortext\domathtext\hbox}
\def\domathtext#1%
{\mathchoice
{\dodomathtext\displaystyle\textface {#1}}%
{\dodomathtext\textstyle \textface {#1}}%
{\dodomathtext\textstyle \scriptface {#1}}%
{\dodomathtext\textstyle \scriptscriptface{#1}}}
\def\dodomathtext#1#2#3% no \everymath !
%{\hbox{\everymath{#1}\switchtobodyfont [#2]#3}} % 15 sec
{\hbox{\everymath{#1}\setcurrentfontbody{#2}#3}} % 3 sec (no math)
%D Safeguard against redefinitions:
\appendtoks
\let\_\normalunderscore % is textunderscore or fakeunderscore
\to \everymathematics
%D Because we may overload \type {\text} in other (structuring)
%D macros, we say:
\appendtoks \let\text\mathtext \to \everymathematics
%D The next code is derived from plain \TEX.
\newcount\interdisplaylinepenalty \interdisplaylinepenalty=100
\newif\ifdt@p
\def\displ@y
{\global\dt@ptrue
\openup\displayopenupvalue % was \openup\jot
\everycr
{\noalign
{\ifdt@p
\global\dt@pfalse
\ifdim\prevdepth>-\thousandpoint
\vskip-\lineskiplimit
\vskip\normallineskiplimit
\fi
\else
\penalty\interdisplaylinepenalty
\fi}}}
\let\normaldispl@y\displ@y
\def\displ@y{\resetdisplaymatheq\normaldispl@y}
\def\m@th{\mathsurround\zeropoint} % obsolete
%D Text in math:
\def\mathortext
{\ifmmode
\expandafter\firstoftwoarguments
\else
\expandafter\secondoftwoarguments
\fi}
% \defineactivecharacter _ {\mathortext{_}{\_}} text_text $a^2$
% force text mode, will be overloaded later
\ifx\text\undefined \let\text\hbox \fi
\def\mathoptext#1{\mathop{\text{#1}}}
\protect \endinput
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