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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},
%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
%D \macros
%D {frac, xfrac, xxfrac}
%D
%D This is another one Tobias asked for. It replaces the
%D primitive \type {\over}. We also take the opportunity to
%D handle math style restoring, which makes sure units and
%D chemicals come out ok.
%D The \type {\frac} macro kind of replaces the awkward \type
%D {\over} primitive. Say that we have the following formulas:
%D
%D \startbuffer[sample]
%D test $\frac {1}{2}$ test $$1 + \frac {1}{2} = 1.5$$
%D test $\xfrac {1}{2}$ test $$1 + \xfrac {1}{2} = 1.5$$
%D test $\xxfrac{1}{2}$ test $$1 + \xxfrac{1}{2} = 1.5$$
%D \stopbuffer
%D
%D \typebuffer[sample]
%D
%D With the most straightforward definitions, we get:
%D
%D \startbuffer[code]
%D \def\dofrac#1#2#3{\relax\mathematics{{{#1{#2}}\over{#1{#3}}}}}
%D
%D \def\frac {\dofrac\mathstyle}
%D \def\xfrac {\dofrac\scriptstyle}
%D \def\xxfrac{\dofrac\scriptscriptstyle}
%D \stopbuffer
%D
%D \typebuffer[code] \getbuffer[code,sample]
%D
%D Since this does not work well, we can try:
%D
%D \startbuffer[code]
%D \def\xfrac #1#2{\hbox{$\dofrac\scriptstyle {#1}{#2}$}}
%D \def\xxfrac#1#2{\hbox{$\dofrac\scriptscriptstyle{#1}{#2}$}}
%D \stopbuffer
%D
%D \typebuffer[code] \getbuffer[code,sample]
%D
%D This for sure looks better than:
%D
%D \startbuffer[code]
%D \def\xfrac #1#2{{\scriptstyle \dofrac\relax{#1}{#2}}}
%D \def\xxfrac#1#2{{\scriptscriptstyle\dofrac\relax{#1}{#2}}}
%D \stopbuffer
%D
%D \typebuffer[code] \getbuffer[code,sample]
%D
%D So we stick to the next definitions (watch the local
%D overloading of \type {\xfrac}).
% \def\dofrac#1#2#3{\relax\mathematics{{{#1{#2}}\over{#1{#3}}}}}
\def\dofrac#1#2#3{\relax\mathematics{\Ustack{{#1{#2}}\normalover{#1{#3}}}}}
\def\nofrac #1#2{\relax\mathematics{\Ustack{{#1}\normalover{#2}}}}
% \chardef\mathfracmode=0 $\frac{1}{2}$
% \chardef\mathfracmode=1 $\frac{1}{2}$
% \chardef\mathfracmode=2 $\frac{1}{2}$
% \chardef\mathfracmode=3 $\frac{1}{2}$
% \chardef\mathfracmode=4 $\frac{1}{2}$
% \chardef\mathfracmode=5 $\frac{1}{2}$
\chardef\mathfracmode=0 % 0=auto, 1=displaystyle, 2=textstyle, 3=scriptstyle, 4=scriptscriptstyle, 5=mathstyle
\unexpanded\def\frac
{\ifcase\mathfracmode
\expandafter\nofrac
\or
\expandafter\dofrac\expandafter\displaystyle
\or
\expandafter\dofrac\expandafter\textstyle
\or
\expandafter\dofrac\expandafter\scriptstyle
\or
\expandafter\dofrac\expandafter\scriptscriptstyle
\else
\expandafter\dofrac\expandafter\mathstyle
\fi}
\unexpanded\def\xfrac#1#2%
{\begingroup
\let\xfrac\xxfrac
\dofrac\scriptstyle{#1}{#2}%
\endgroup}
\unexpanded\def\xxfrac#1#2%
{\begingroup
\dofrac\scriptscriptstyle{#1}{#2}%
\endgroup}
%D The \type {xx} variant looks still ugly, so maybe it's
%D best to say:
\unexpanded\def\xxfrac#1#2%
{\begingroup
\dofrac\scriptscriptstyle{#1}{\raise.25ex\hbox{$\scriptscriptstyle#2$}}%
\endgroup}
%D Something low level for scientific calculator notation:
\unexpanded\def\scinot#1#2%
{#1\times10^{#2}}
%D The next macro, \type {\ch}, is \PPCHTEX\ aware. In
%D formulas one can therefore best use \type {\ch} instead of
%D \type {\chemical}, especially in fractions.
% let's see who complains ... \mathstyle is now a primitive
%
% \unexpanded\def\ch#1%
% {\ifdefined\@@chemicalletter
% \dosetsubscripts
% \mathstyle{\@@chemicalletter{#1}}%
% \doresetsubscripts
% \else
% \mathstyle{\rm#1}%
% \fi}
% \unexpanded\def\ch#1%
% {\ifdefined\@@chemicalletter
% \dosetsubscripts
% \mathematics{\@@chemicalletter{#1}}%
% \doresetsubscripts
% \else
% \mathematics{\rm#1}%
% \fi}
%D \macros
%D {/}
%D
%D Just to be sure, we restore the behavior of some typical
%D math characters.
\bgroup
\catcode`\/=\@@other \global \let\normalforwardslash/
\catcode`\/=\@@active \doglobal\appendtoks\let/\normalforwardslash\to\everymathematics
\egroup
% to be checked:
\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}
\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}}}
\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}}}
% temp here
\protect \endinput
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