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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 ADE \& \CONTEXT\ Development Team}]
%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
% quite old ... still needed?
%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\math_fractions_forced#1#2#3{\relax\mathematics{\Ustack{{#1{#2}}\normalover{#1{#3}}}}}
\def\math_fractions_auto #1#2{\relax\mathematics{\Ustack{{#1}\normalover{#2}}}}
% $\mathfracmode0 \frac{1}{2}$
% $\mathfracmode1 \frac{1}{2}$
% $\mathfracmode2 \frac{1}{2}$
% $\mathfracmode3 \frac{1}{2}$
% $\mathfracmode4 \frac{1}{2}$
% $\mathfracmode5 \frac{1}{2}$
% 0=auto, 1=displaystyle, 2=textstyle, 3=scriptstyle, 4=scriptscriptstyle, 5=mathstyle
\setnewconstant\mathfracmode\zerocount
\unexpanded\def\frac % overloaded later on
{\ifcase\mathfracmode
\expandafter\math_fractions_auto
\or
\expandafter\math_fractions_forced\expandafter\displaystyle
\or
\expandafter\math_fractions_forced\expandafter\textstyle
\or
\expandafter\math_fractions_forced\expandafter\scriptstyle
\or
\expandafter\math_fractions_forced\expandafter\scriptscriptstyle
\else
\expandafter\math_fractions_forced\expandafter\mathstyle
\fi}
\unexpanded\def\xfrac#1#2%
{\begingroup
\let\xfrac\xxfrac
\math_fractions_forced\scriptstyle{#1}{#2}%
\endgroup}
\unexpanded\def\xxfrac#1#2%
{\begingroup
\math_fractions_forced\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
\math_fractions_forced\scriptscriptstyle{#1}{\raise.25ex\hbox{$\scriptscriptstyle#2$}}%
\endgroup}
%D Something low level for scientific calculator notation:
\unexpanded\def\scinot#1#2%
{#1\times10^{#2}}
% I have no clue what \mthfrac and \mthsqrt are supposed to do but
% I guess that it can be done with tweaking luatex's math parameters.
% Otherwise I'll write something from scratch.
\unexpanded\def\mthfrac#1#2#3{[mthfrac: #1 #2 #3]}
\unexpanded\def\mthsqrt#1#2#3{[mthsqrt: #1 #2 #3]}
%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 \getbuffer
% extra {} after displaystyle etc are needed
%unexpanded\def\frac #1#2{{ {{#1}\normalover {#2}}}}
%unexpanded\def\xfrac #1#2{{\scriptstyle {{#1}\normalover {#2}}}}
%unexpanded\def\xxfrac#1#2{{\scriptscriptstyle{{#1}\normalover {#2}}}}
\unexpanded\def\dfrac #1#2{{\displaystyle {{#1}\normalover {#2}}}}
\unexpanded\def\tfrac #1#2{{\textstyle {{#1}\normalover {#2}}}}
%unexpanded\def\binom #1#2{{ {{#1}\normalabovewithdelims()\zeropoint{#2}}}}
\unexpanded\def\dbinom#1#2{{\displaystyle {{#1}\normalabovewithdelims()\zeropoint{#2}}}}
\unexpanded\def\tbinom#1#2{{\textstyle {{#1}\normalabovewithdelims()\zeropoint{#2}}}}
\unexpanded\def\binom #1#2{{\Ustack{{#1}\normalabovewithdelims()\zeropoint{#2}}}}
% \let\frac\math_fractions_auto
%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
\unexpanded\def\cfrac
{\doifnextoptionalelse\math_cfrac_yes\math_cfrac_nop}
\def\math_cfrac_nop {\math_cfrac_indeed[cc]}
\def\math_cfrac_yes[#1]{\math_cfrac_indeed[#1cc]}
\def\math_cfrac_indeed[#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 but adapted a bit.
\unexpanded\def\splitfrac #1#2%
{{\textstyle {{\textstyle#1\quad\hfill}\normalabove\zeropoint{\textstyle\hfill\quad\mathstrut#2}}}}
\unexpanded\def\splitdfrac#1#2%
{{\displaystyle{{ #1\quad\hfill}\normalabove\zeropoint{ \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\nobreakspace\hfill#1\par
\else\ifmmode
#1\relax % leading \eqno removed
\else
\dontleavehmode\emptyhbox\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 {boxed}
%D
%D [HH] Another macro that users might expect (slightly adapted):
\unexpanded\def\boxed % maybe obsolete
{\ifmmode\expandafter\mframed\else\expandafter\framed\fi}
\protect \endinput
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