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%D \module
%D [ file=math-frc,
%D version=2007.07.19,
%D title=\CONTEXT\ Math Macros,
%D subtitle=Fractions,
%D author={Hans Hagen \& Taco Hoekwater \& Aditya Mahajan},
%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 / Fractions}
\unprotect
\unexpanded\def\exmthfont#1%
{\symbolicsizedfont#1\plusone{MathExtension}}
\def\domthfrac#1#2#3#4#5#6#7%
{\begingroup
\mathsurround\zeropoint
\setbox0\hbox{$#1 #6$}%
\setbox2\hbox{$#1 #7$}%
\dimen0\wd0
\ifdim\wd2>\dimen0 \dimen0\wd2 \fi
\setbox4\hbox to \dimen0{\exmthfont#2#3\leaders\hbox{#4}\hss#5}%
\mathord{\vcenter{{\offinterlineskip
\hbox to \dimen0{\hss\box0\hss}%
\kern \ht4%
\hbox to \dimen0{\hss\copy4\hss}%
\kern \ht4%
\hbox to \dimen0{\hss\box2\hss}}}}%
\endgroup}
\def\domthsqrt#1#2#3#4#5%
{\begingroup
\mathsurround\zeropoint
\setbox0\hbox{$#1 #5$}%
\dimen0=1.05\ht0 \advance\dimen0 1pt \ht0 \dimen0
\dimen0=1.05\dp0 \advance\dimen0 1pt \dp0 \dimen0
\dimen0\wd0
\setbox4\hbox to \dimen0{\exmthfont#2\leaders\hbox{#3}\hfill#4}%
\delimitershortfall=0pt
\nulldelimiterspace=0pt
\setbox2\hbox{$\left\delimiter"0270370 \vrule height\ht0 depth \dp0 width0pt
\right.$}%
\mathord{\vcenter{\hbox{\copy2
\rlap{\raise\dimexpr\ht2-\ht4\relax\copy4}\copy0}}}%
\endgroup}
\unexpanded\def\mthfrac#1#2#3#4#5{\mathchoice
{\domthfrac\displaystyle \textface {#1}{#2}{#3}{#4}{#5}}
{\domthfrac\textstyle \textface {#1}{#2}{#3}{#4}{#5}}
{\domthfrac\scriptstyle \scriptface {#1}{#2}{#3}{#4}{#5}}
{\domthfrac\scriptscriptstyle\scriptscriptface{#1}{#2}{#3}{#4}{#5}}}
\unexpanded\def\mthsqrt#1#2#3{\mathchoice
{\domthsqrt\displaystyle \textface {#1}{#2}{#3}}
{\domthsqrt\textstyle \textface {#1}{#2}{#3}}
{\domthsqrt\scriptstyle \textface {#1}{#2}{#3}}
{\domthsqrt\scriptscriptstyle\textface {#1}{#2}{#3}}}
%D Moved from math-new.tex (not that new anyway:
%D \macros
%D {genfrac}
%D
%D [TH] The definition of \type {\genfrac} \& co. is not
%D trivial, because it allows some flexibility. This is
%D supposed to be a user||level command, but will fail quite
%D desparately if called outside math mode (\CONTEXT\ redefines
%D \type {\over})
%D
%D [HH] We clean up this macro a bit and (try) to make it
%D understandable. The expansion is needed for generating
%D the second argument to \type {\dogenfrac}, which is to
%D be a control sequence like \type {\over}.
\unexpanded\def\genfrac#1#2#3#4%
{\edef\!!stringa
{#1#2}%
\expanded
{\dogenfrac{#4}%
\csname
\ifx @#3@%
\ifx\!!stringa\empty
\strippedcsname\normalover
\else
\strippedcsname\normaloverwithdelims
\fi
\else
\ifx\!!stringa\empty
\strippedcsname\normalabove
\else
\strippedcsname\normalabovewithdelims
\fi
\fi
\endcsname}%
{#1#2#3}}
\def\dogenfrac#1#2#3#4#5%
{{#1{\begingroup#4\endgroup#2#3\relax#5}}}
%D \macros
%D {dfrac, tfrac, frac, dbinom, tbinom, binom}
%D
%D \startbuffer
%D $\dfrac {1}{2} \tfrac {1}{2} \frac {1}{2}$
%D $\dbinom{1}{2} \tbinom{1}{2} \binom{1}{2}$
%D \stopbuffer
%D
%D \typebuffer
%D
%D \getbuffer
\unexpanded\def\dfrac {\genfrac\empty\empty{}\displaystyle}
\unexpanded\def\tfrac {\genfrac\empty\empty{}\textstyle}
\unexpanded\def\frac {\genfrac\empty\empty{}\donothing}
\unexpanded\def\dbinom{\genfrac()\zeropoint\displaystyle}
\unexpanded\def\tbinom{\genfrac()\zeropoint\textstyle}
\unexpanded\def\binom {\genfrac()\zeropoint\donothing}
\unexpanded\def\xfrac {\genfrac\empty\empty{}\scriptstyle}
\unexpanded\def\xxfrac{\genfrac\empty\empty{}\scriptscriptstyle}
\unexpanded\def\frac#1#2{\mathematics{\genfrac\empty\empty{}\donothing{#1}{#2}}}
%D \macros
%D {cfrac}
%D
%D \startbuffer
%D $\cfrac{12}{3} \cfrac[l]{12}{3} \cfrac[c]{12}{3} \cfrac[r]{12}{3}$
%D $\cfrac{1}{23} \cfrac[l]{1}{23} \cfrac[c]{1}{23} \cfrac[r]{1}{23}$
%D \stopbuffer
%D
%D \typebuffer
%D
%D \getbuffer
%D
%D Now we can align every combination we want:
%D
%D \startbuffer
%D $\cfrac{12}{3} \cfrac[l]{12}{3} \cfrac[c]{12}{3} \cfrac[r]{12}{3}$
%D $\cfrac{1}{23} \cfrac[l]{1}{23} \cfrac[c]{1}{23} \cfrac[r]{1}{23}$
%D $\cfrac[cl]{12}{3} \cfrac[cc]{12}{3} \cfrac[cr]{12}{3}$
%D $\cfrac[lc]{1}{23} \cfrac[cc]{1}{23} \cfrac[rc]{1}{23}$
%D \stopbuffer
%D
%D \typebuffer
%D
%D \getbuffer
\definecomplexorsimple\cfrac
\def\simplecfrac {\docfrac[cc]}
\def\complexcfrac[#1]{\docfrac[#1cc]}
\def\docfrac[#1#2#3]#4#5%
{{\displaystyle
\frac
{\strut
\ifx r#1\hfill\fi#4\ifx l#1\hfill\fi}%
{\ifx r#2\hfill\fi#5\ifx l#2\hfill\fi}%
\kern-\nulldelimiterspace}}
%D \macros
%D {splitfrac, splitdfrac}
%D
%D Occasionally one needs to typeset multi||line fractions.
%D These commands use \tex{genfrac} to create such fractions.
%D
%D \startbuffer
%D \startformula
%D a=\frac{
%D \splitfrac{xy + xy + xy + xy + xy}
%D {+ xy + xy + xy + xy}
%D }
%D {z}
%D =\frac{
%D \splitdfrac{xy + xy + xy + xy + xy}
%D {+ xy + xy + xy + xy}
%D }
%D {z}
%D \stopformula
%D \stopbuffer
%D
%D \typebuffer \getbuffer
%D
%D These macros are based on Michael J.~Downes posting on
%D comp.text.tex on 2001/12/06
\unexpanded\def\splitfrac#1#2%
{\genfrac\empty\empty\zeropoint\textstyle%
{\textstyle#1\quad\hfill}%
{\textstyle\hfill\quad\mathstrut#2}}
\unexpanded\def\splitdfrac#1#2%
{\genfrac\empty\empty\zeropoint\displaystyle%
{#1\quad\hfill}
{\hfill\quad\mathstrut #2}}
%D For thee moment here, but it might move:
%D \macros
%D {qedsymbol}
%D
%D [HH] The general Quod Erat Domonstrandum symbol is defined
%D in such a way that we can configure it. Because this symbol
%D is also used in text mode, we make it a normal text symbol
%D with special behavior.
\unexpanded\def\qedsymbol#1%
{\ifhmode
\unskip~\hfill#1\par
\else\ifmmode
\eqno#1\relax % Do we really need the \eqno here?
\else
\leavevmode\hbox{}\hfill#1\par
\fi\fi}
\definesymbol [qed] [\qedsymbol{\mathematics{\square}}]
%D \macros
%D {QED}
%D
%D [HH] For compatbility reasons we also provide the \type
%D {\QED} command. In case this command is overloaded, we still
%D have the symbol available. \symbol[qed]
\unexpanded\def\QED{\symbol[qed]}
%D \macros
%D {mathhexbox}
%D
%D [TH] \type {\mathhexbox} is also user||level (already
%D defined in Plain \TEX). It allows to get a math character
%D inserted as if it was a text character.
\unexpanded\def\mathhexbox#1#2#3%
{\mathtext{$\mathsurround\zeropoint\mathchar"#1#2#3$}}
%D \macros
%D {boxed}
%D
%D [HH] Another macro that users expect (slightly adapted):
\unexpanded\def\boxed
{\ifmmode\expandafter\mframed\else\expandafter\framed\fi}
\protect \endinput
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