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%D \module
%D [ file=math-ext,
%D version=2006.01.14,
%D title=\CONTEXT\ Math Macros,
%D subtitle=Extra Macros,
%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.
\unprotect
%D These will be generalized!
\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
%D We next define extensible arrows. Extensible arrows are arrows that change
%D their length accoding to the width of the text to be placed above and below
%D the arrow. Since we need to define a lot of arrows, we first define some
%D helper macros. The basic idea is to measure the width of the box to be
%D placed above and below the arrow, and make the \quotation{body} of the
%D arrow as long as the bigger of the two widths.
\def\mtharrfactor{1}
\def\mtharrextra {0}
\def\domthxarr#1#2#3#4#5% hm, looks like we do a double mathrel
{\begingroup
\def\mtharrfactor{1}%
\def\mtharrextra {0}%
\processaction[#1] % will be sped up
[ \v!none=>\def\mtharrfactor{0},
\v!small=>\def\mtharrextra{10},
\v!medium=>\def\mtharrextra{15},
\v!big=>\def\mtharrextra{20},
\v!normal=>,
\v!default=>,
\v!unknown=>\doifnumberelse{#1}{\def\mtharrextra{#1}}\donothing]%
\mathsurround\zeropoint
\muskip0=\thirdoffourarguments #2mu
\muskip2=\fourthoffourarguments #2mu
\muskip4=\firstoffourarguments #2mu
\muskip6=\secondoffourarguments #2mu
\muskip0=\mtharrfactor\muskip0 \advance\muskip0 \mtharrextra mu
\muskip2=\mtharrfactor\muskip2 \advance\muskip2 \mtharrextra mu
\setbox0\hbox{$\scriptstyle
\mkern\muskip4\relax
\mkern\muskip0\relax
#5\relax
\mkern\muskip2\relax
\mkern\muskip6\relax
$}%
\setbox4\hbox{#3}%
\dimen0\wd0
\ifdim\wd4>\dimen0 \dimen0\wd4 \fi
\setbox2\hbox{$\scriptstyle
\mkern\muskip4\relax
\mkern\muskip0\relax
#4\relax
\mkern\muskip2\relax
\mkern\muskip6\relax
$}%
\ifdim\wd2>\dimen0 \dimen0\wd2 \fi
\setbox4\hbox to \dimen0{#3}%
\mathrel{\mathop{\hbox to \dimen0{\hss\copy4\hss}}\limits^{\box0}_{\box2}}
\endgroup}
\let\domthxarrsingle\domthxarr
%D There are some arrows which are created by stacking two arrows. The next
%D macro helps in defining such \quotation{double arrows}.
\def\domthxarrdouble#1#2#3#4#5#6#7% opt l r sp rs top bot
{\mathrel
{\scratchdimen.22ex\relax
\setbox0\hbox{$\domthxarr{#1}{#2}{#4}{\phantom{#6}}{#7}$}%
\setbox2\hbox{$\domthxarr{#1}{#3}{#5}{#6}{\phantom{#7}}$}%
\raise\scratchdimen\box0
\kern-\wd2
\lower\scratchdimen\box2}}
%D \macros{definematharrow}
%D Macro for defining new arrows. We can define two types of arrows|<|single
%D arrows and double arrows. Single arrows are defined as
%D \starttyping
%D \definematharrow [xrightarrow] [0359] [\rightarrowfill]
%D \stoptyping
%D The first argument is the name of the arrow (\tex{xrightarrow} in this case.)
%D The second argument consists of a set of 4 numbers and specify the spacing
%D correction in math units~\type{mu}. These numbers define:
%D \startlines
%D 1st number: arrow||tip correction
%D 2nd number: arrow||tip correction
%D 3rd number: space (multiplied by \tex{matharrfactor} and advanced by \tex{matharrextra})
%D 4th number: space (multiplied by \tex{matharrfactor} and advanced by \tex{matharrextra})
%D \stoplines
%D
%D The third argument is the name of the extensible fill. The third argument
%D is optional when the arrow is redefined later (this is useful for font
%D specific tweaking of the skips.) For example,
%D \startbuffer
%D \math{\xrightarrow{above}}
%D \definematharrow[xrightarrow][0000]
%D \math{\xrightarrow{above}}
%D \definematharrow[xrightarrow][55{50}{50}]
%D \math{\xrightarrow{above}}
%D \stopbuffer
%D \typebuffer gives {\getbuffer}
%D
%D The double arrows are defined as follows
%D \starttyping
%D \definematharrow [xrightleftharpoons] [3095,0359]
%D [\rightharpoonupfill,\leftharpoondownfill]
%D \stoptyping
%D The second and the third set of arguments consist of comma separated
%D values. The first element of the second argument (\type{3095}) corresponds
%D to the spacing correction of top arrow fill (\tex{rightarrowupfill}).
%D Similarly, \type{0359} corresponds to bottom arrow fill
%D \tex{leftharpoondownfill}). Stacking them on top of each other we get
%D $\xrightleftharpoons[big]{above}{below}$.
%D The following math arrows are defined
%D \midaligned{\starttable[|l|m|]
%D \NC \tex{xrightarrow } \NC \xrightarrow [big] \NC \NR
%D \NC \tex{xleftarrow } \NC \xleftarrow [big] \NC \NR
%D \NC \tex{xequal } \NC \xequal [big] \NC \NR
%D \NC \tex{xRightarrow } \NC \xRightarrow [big] \NC \NR
%D \NC \tex{xLeftarrow } \NC \xLeftarrow [big] \NC \NR
%D \NC \tex{xLeftrightarrow } \NC \xLeftrightarrow [big] \NC \NR
%D \NC \tex{xleftrightarrow } \NC \xleftrightarrow [big] \NC \NR
%D \NC \tex{xmapsto } \NC \xmapsto [big] \NC \NR
%D \NC \tex{xtwoheadrightarrow } \NC \xtwoheadrightarrow [big] \NC \NR
%D \NC \tex{xtwoheadleftarrow } \NC \xtwoheadleftarrow [big] \NC \NR
%D \NC \tex{xrightharpoondown } \NC \xrightharpoondown [big] \NC \NR
%D \NC \tex{xrightharpoonup } \NC \xrightharpoonup [big] \NC \NR
%D \NC \tex{xleftharpoondown } \NC \xleftharpoondown [big] \NC \NR
%D \NC \tex{xleftharpoonup } \NC \xleftharpoonup [big] \NC \NR
%D \NC \tex{xhookleftarrow } \NC \xhookleftarrow [big] \NC \NR
%D \NC \tex{xhookrightarrow } \NC \xhookrightarrow [big] \NC \NR
%D \NC \tex{xleftrightharpoons } \NC \xleftrightharpoons [big] \NC \NR
%D \NC \tex{xrightleftharpoons } \NC \xrightleftharpoons [big] \NC \NR
%D \stoptable}
\def\definematharrow
{\doquadrupleargument\dodefinematharrow}
\def\dodefinematharrow[#1][#2][#3][#4]% name type[none|both] template command
{\iffourthargument
\executeifdefined{dodefine#2arrow}\gobblethreearguments{#1}{#3}{#4}%
\else\ifthirdargument
\dodefinebotharrow{#1}{#2}{#3}%
\else\ifsecondargument
\redefinebotharrow{#1}{#2}{#3}%
\fi\fi\fi}
\def\redefinebotharrow#1#2#3% real dirty, this overload!
{\doifdefined{#1}
{\pushmacro\dohandlemtharrow
\def\dohandlemtharrow[##1][##2]{\setvalue{#1}{\dohandlemtharrow[#2][##2]}}%
% == \def\dohandlemtharrow[##1][##2]{\dodefinebotharrow{#1}{#2}{##2}}%
\getvalue{#1}%
\popmacro\dohandlemtharrow}}
\def\dodefinebotharrow#1#2#3%
{\setvalue{#1}{\dohandlemtharrow[#2][#3]}}
\def\dohandlemtharrow
{\dotripleempty\doxmtharrow}
\def\doxmtharrow[#1][#2][#3]% #3 == optional arg
{\def\dodoxmtharrow{\dododoxmtharrow[#1,\empty,\empty][#2,\empty,\empty][#3]}% {##1}{##2}
\dodoublegroupempty\dodoxmtharrow}
\def\dododoxmtharrow[#1,#2,#3][#4,#5,#6][#7]#8#9% [3] is the optional arg
{\edef\!!stringa{#2}%
\ifx\!!stringa\empty
\ifsecondargument
\mathrel{\domthxarrsingle{#7}{#1}{#4}{#8}{#9}}%
\else
\mathrel{\domthxarrsingle{#7}{#1}{#4}{}{#8}}%
\fi
\else
\ifsecondargument
\mathrel{\domthxarrdouble{#7}{#1}{#2}{#4}{#5}{#8}{#9}}%
\else
\mathrel{\domthxarrdouble{#7}{#1}{#2}{#4}{#5}{}{#8}}%
\fi
\fi}
% Adapted from amsmath.
%D \macros{mtharrowfill,defaultmtharrowfill}
%D To extend the arrows we need to define a \quotation{math arrow fill}. This
%D command takes 7 arguments: the first four correspond the second argument of
%D \tex{definematharrow} explained above. The other three specify the tail,
%D body and head of the arrow. \tex{defaultmtharrowfill} has values tweaked to
%D match latin modern fonts. For fonts that are significantly different (e.g.
%D cows) a different set of values need to be determined.
\def\mtharrowfill#1#2#3#4#5#6#7%
{$\mathsurround 0pt
\thickmuskip0mu\medmuskip\thickmuskip\thinmuskip\thickmuskip
\relax#5%
\mkern-#1mu
\cleaders\hbox{$\mkern -#2mu#6\mkern -#3mu$}\hfill
\mkern-#4mu#7$}
\def\defaultmtharrowfill{\mtharrowfill 7227}
%D We now define some arrow fills that will be used for defining the arrows.
%D \tex{leftarrowfill} and \tex{rightarrowfill} are redefined using \tex{defaultmtharrowfill}.
\def\rightarrowfill {\defaultmtharrowfill \relbar \relbar \rightarrow }
\def\leftarrowfill {\defaultmtharrowfill \leftarrow \relbar \relbar }
\def\equalfill {\defaultmtharrowfill \Relbar \Relbar \Relbar }
\def\Rightarrowfill {\defaultmtharrowfill \Relbar \Relbar \Rightarrow }
\def\Leftarrowfill {\defaultmtharrowfill \Leftarrow \Relbar \Relbar }
\def\Leftrightarrowfill {\defaultmtharrowfill \Leftarrow \Relbar \Rightarrow }
\def\leftrightarrowfill {\defaultmtharrowfill \leftarrow \relbar \rightarrow }
\def\mapstofill {\defaultmtharrowfill {\mapstochar\relbar} \relbar \rightarrow }
\def\twoheadrightarrowfill{\defaultmtharrowfill \relbar \relbar \twoheadrightarrow}
\def\twoheadleftarrowfill {\defaultmtharrowfill \twoheadleftarrow \relbar \relbar }
\def\rightharpoondownfill {\defaultmtharrowfill \relbar \relbar \rightharpoondown }
\def\rightharpoonupfill {\defaultmtharrowfill \relbar \relbar \rightharpoonup }
\def\leftharpoondownfill {\defaultmtharrowfill \leftharpoondown \relbar \relbar }
\def\leftharpoonupfill {\defaultmtharrowfill \leftharpoonup \relbar \relbar }
\def\hookleftfill {\defaultmtharrowfill \leftarrow \relbar{\relbar\joinrel\rhook}}
\def\hookrightfill{\defaultmtharrowfill{\lhook\joinrel\relbar}\relbar \rightarrow}
%D Now we define most commonly used arrows. These include arrows defined in
%D \filename{amsmath.sty}, \filename{extarrows.sty}, \filename{extpfel.sty}
%D and mathtools.sty packages for \LATEX.
\definematharrow [xrightarrow] [0359] [\rightarrowfill]
\definematharrow [xleftarrow] [3095] [\leftarrowfill]
\definematharrow [xequal] [0099] [\equalfill]
\definematharrow [xRightarrow] [0359] [\Rightarrowfill]
\definematharrow [xLeftarrow] [3095] [\Leftarrowfill]
\definematharrow [xLeftrightarrow] [0099] [\Leftrightarrowfill]
\definematharrow [xleftrightarrow] [0099] [\leftrightarrowfill]
\definematharrow [xmapsto] [3599] [\mapstofill]
\definematharrow [xtwoheadrightarrow] [5009] [\twoheadrightarrowfill]
\definematharrow [xtwoheadleftarrow] [0590] [\twoheadleftarrowfill]
\definematharrow [xrightharpoondown] [0359] [\rightharpoondownfill]
\definematharrow [xrightharpoonup] [0359] [\rightharpoonupfill]
\definematharrow [xleftharpoondown] [3095] [\leftharpoondownfill]
\definematharrow [xleftharpoonup] [3095] [\leftharpoonupfill]
\definematharrow [xleftrightharpoons] [3399,3399] [\leftharpoonupfill,\rightharpoondownfill]
\definematharrow [xrightleftharpoons] [3399,3399] [\rightharpoonupfill,\leftharpoondownfill]
\definematharrow [xhookleftarrow] [3095] [\hookleftfill]
\definematharrow [xhookrightarrow] [0395] [\hookrightfill]
%D These arrows can be used as folows:
%D \startbuffer
%D \startformula \xrightarrow{stuff on top}\stopformula
%D \startformula \xrightarrow{}{stuff on top}\stopformula
%D \startformula \xrightarrow{stuff below}{}\stopformula
%D \startformula \xrightarrow{stuff below}{stuff on top}\stopformula
%D
%D \startformula \xleftarrow [none]{stuff below}{stuff on top}\stopformula
%D \startformula \xleftarrow [small]{stuff below}{stuff on top}\stopformula
%D \startformula \xleftarrow [medium]{stuff below}{stuff on top}\stopformula
%D \startformula \xleftarrow [big]{stuff below}{stuff on top}\stopformula
%D \stopbuffer
%D \typebuffer which gives \getbuffer
\protect \endinput
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