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authorHans Hagen <pragma@wxs.nl>2009-05-28 11:23:00 +0200
committerHans Hagen <pragma@wxs.nl>2009-05-28 11:23:00 +0200
commit1d3090326210c6e6f7ec5432799ded25b75bba46 (patch)
treec5921203789ec669e6bccaba4bd56f9c072dc56b /tex/context/base/math-frc.mkiv
parent94d83f84758766511c5e324721e39fea6ab71dae (diff)
downloadcontext-1d3090326210c6e6f7ec5432799ded25b75bba46.tar.gz
beta 2009.05.28 11:23
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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%
+% {\ifundefined\@@chemicalletter
+% \mathstyle{\rm#1}%
+% \else
+% \dosetsubscripts
+% \mathstyle{\@@chemicalletter{#1}}%
+% \doresetsubscripts
+% \fi}
+
+% \unexpanded\def\ch#1%
+% {\ifundefined\@@chemicalletter
+% \mathematics{\rm#1}%
+% \else
+% \dosetsubscripts
+% \mathematics{\@@chemicalletter{#1}}%
+% \doresetsubscripts
+% \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