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Diffstat (limited to 'Master/texmf-dist/tex/context/base/x-mmc.mkiv')
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diff --git a/Master/texmf-dist/tex/context/base/x-mmc.mkiv b/Master/texmf-dist/tex/context/base/x-mmc.mkiv new file mode 100644 index 00000000000..042ef340652 --- /dev/null +++ b/Master/texmf-dist/tex/context/base/x-mmc.mkiv @@ -0,0 +1,2201 @@ +%D \module +%D [ file=x-newmml, +%D version=2005.06.10, % 1999.12.20, +%D title=\CONTEXT\ XML Modules, +%D subtitle=MathML Renderer, +%D author=Hans Hagen, +%D date=\currentdate, +%D copyright={PRAGMA ADE}] +%C +%C This module is part of the \CONTEXT\ macro||package and is +%C therefore copyrighted by \PRAGMA. See mreadme.pdf for +%C details. + +% todo: more consistent both pi's and attributes to apply + +\doifnotmode {atpragma} {\endinput} + +% \xmlfilter{#1}{/*/name()} -> \xmltag + +\xmlresolveentities + +\startluacode + function math.register_xml_entities() + local entities, char = xml.entities, utf.char + for name, unicode in pairs(math.entities) do + if not entities[name] then + entities[name] = char(unicode) + end + end + end + math.register_xml_entities() + + -- not yet needed, we have class info in char-def already + -- + -- characters.data[0x2190].activemath = "mathleftarrow" + -- characters.data[0x2190].activemath = "mathuparrow" + -- characters.data[0x2192].activemath = "mathrightarrow" + -- characters.data[0x2193].activemath = "mathdownarrow" + -- + -- function characters.activate(catcodes) + -- local char, sprint, format = utf.char, tex.sprint, string.format + -- for k,v in pairs(characters.data) do + -- local a = v.activemath + -- if a then -- how fast is this? + -- sprint(format("\\letcatcodecommand %s %s \\%s",catcodes,k,a)) + -- end + -- end + -- end + -- + -- better do this the official way, i.e. defineactivecharacter since it + -- permits different meanings for different catcode tables (todo) + -- + -- characters.activate(tex.ctxcatcodes) + -- characters.activate(tex.notcatcodes) +\stopluacode + +% \def\mathrightarrow{\normalorfiller\rightarrow\rightarrowfill} +% \def\mathleftarrow {\normalorfiller\leftarrow \leftarrowfill} +% \def\mathdownarrow {\mathortext \downarrow \empty} +% \def\mathuparrow {\mathortext \uparrow \empty} + +% \def\mathunderbrace{\normalorfiller\empty\upbracefill} +% \def\mathoverbrace {\normalorfiller\empty\downbracefill} +% \def\mathunderbar {\normalorfiller\hrule\hrulefill} +% \def\mathoverbar {\normalorfiller\hrule\hrulefill} +% \def\mathhat {\normalorfiller\empty\empty} % todo + +%D Remark: from now on this is a module and no longer an xtag +%D filter. There is an intermediate cleaner module but it has +%D some namespace limitations. Here we do it the \MKV\ way. + +\unprotect + +\def\widevec#1% + {\vbox{\m@th\ialign{##\crcr + \rightarrowfill\crcr\noalign{\nointerlineskip}% + $\hfil\displaystyle{#1}\hfil$\crcr}}} + +\protect + +\ifx\inlinemathematics\undefined + \def\inlinemathematics {\dontleavehmode\mathematics} % already in kernel + \long\def\inlinemath #1{\dontleavehmode\relax\ifmmode#1\else $#1$\fi} +\fi + +%D Then we start defining the rendering macros: + +\writestatus{loading}{Context XML Macros (MathML Renderer)} + +\startmodule [mathml] + +\ctxlua{environment.loadlucfile("x-mathml")} + +\unprotect + +\def\MMLrm{\mr} + +\def\MMLseparator#1{\removeunwantedspaces{#1}\ignorespaces} % nils space after separator + +%D First we define some general formula elements. + + % \defineXMLenvironment [formula] [label=,sublabel=] + % {\dostartXMLformula\placeformula} + % {\dostopXMLformula} + + % \defineXMLenvironment [subformula] [label=,sublabel=] + % {\dostartXMLformula\placesubformula} + % {\dostopXMLformula} + + % \def\dostartXMLformula#1% + % {\doifelsenothingXMLop{label} + % {\startformula} + % {\expanded{#1[\XMLop{label}]{\XMLop{sublabel}}}\startformula}} + + % \def\dostopXMLformula + % {\stopformula} + +%D Since I only had the draft of MathML 2 as example of +%D rendering, there are probably a lot of omissions and +%D misinterpretations. At least I learned some bits and +%D pieces of math rendering. +%D +%D The main complications were not so much the math, but to +%D find the most efficient way to handle elements without +%D spacing beging messed up. The first implementation was +%D aimed at getting reasonable output, this second +%D implementation is already better in terms of handling +%D nesting, and I will definitely need a third one that has +%D more efficient and less ugly code. +%D +%D The \TEX\ part is not that complicated and once the +%D preprocessor was okay, the rest way just a lot of keying +%D and testing. It all comes down to gobbling, redefining, +%D and not so much to parsing. +%D +%D The second implementation expanded the whole math sequence +%D into an internal \TEX\ representation. This is a rather clean +%D and fast process. Filtering and testing takes place by +%D redefining teh internal representation macros. +%D +%D The third implementation may look a bit more messy in some +%D respects. This is because in \TEX\ it's not that trivial to +%D implement a tree handler. We use a stack for the \type {apply} +%D element and other sequential content. Occasionally we need to +%D peek into child elements which involves messy code. This +%D implementation is closer to the normal \XML\ handling in +%D \CONTEXT. + +%D We start with the parent elements and the option handler. + +% \defineXMLdirective [mathml] \setupMMLappearance % todo + +\def\xmlmathmldirective#1{\dosetvalue{MML#1}} + +%D In the styles, options can be set with: + +\def\setupMMLappearance[#1]{\dodoubleargument\getparameters[MML#1]} % no @@ because passed to lua + +%D We will apply inner math to all bits and pieces made up by an +%D \type {apply}. + +\def\MMLmathinner + {\ifinner \expandafter \firstofoneargument \else \expandafter \mathinner \fi} + +%D Auxiliary MathML macros: (to be generalized) + +\def\mmlfirst #1{\xmlindex{#1}{/*}{1}} % \xmlsnippet{1} +\def\mmlsecond #1{\xmlindex{#1}{/*}{2}} % \xmlsnippet{2} +\def\mmlthird #1{\xmlindex{#1}{/*}{3}} % \xmlsnippet{3} +\def\mmlprelast#1{\xmlindex{#1}{/*}{-2}} % +\def\mmllast #1{\xmlin{#1}{/*}{-1}} % + +\starttexdefinition doifelsemmlfunction #1 + \xmldoifelse {#1} {/mml:fn} { + \firstoftwoarguments + } { + \xmldoifelse {#1} {/mml:apply/mml:fn} { + \firstoftwoarguments + } { + \xmldoifelse {#1} {/mml:ci[@type=='fn']} { + \firstoftwoarguments + } { + \secondoftwoarguments + } + } + } +\stoptexdefinition + +%D Special features: + + \newtoks \@@postponedMMLactions \setfalse \somepostponedMMLactions + + \def\postponeMMLactions#1% + {\global\settrue\somepostponedMMLactions + \global\@@postponedMMLactions\expandafter{\the\@@postponedMMLactions#1}} + + \def\postponedMMLactions + {\global\setfalse\somepostponedMMLactions + \@EA\global\@EA\@@postponedMMLactions\@EA\emptytoks + \the\@@postponedMMLactions} + +%D A couple of lists: + +\convertargument + mml:times|mml:divide|mml:power|% + mml:lt|mml:gt|mml:eq|mml:leq|mml:geq|% + mml:in|mml:inverse|% + mml:fn|% + mml:floor|mml:ceiling|% + mml:mean|% + mml:selector|% + mml:abs|mml:int|mml:limit|mml:sum|mml:product|% + mml:outerproduct|mml:innerproduct|mml:scalarproduct% +\to \MMLcmainresetlist + +\convertargument + mml:sin|mml:arcsin|mml:sinh|mml:arcsinh|% + mml:cos|mml:arccos|mml:cosh|mml:arccosh|% + mml:tan|mml:arctan|mml:tanh|mml:arctanh|% + mml:cot|mml:arccot|mml:coth|mml:arccoth|% + mml:csc|mml:arccsc|mml:csch|mml:arccsch|% + mml:sec|mml:arcsec|mml:sech|mml:arcsech|% + mml:ln|mml:exp|mml:log|% + mml:abs|mml:int|mml:limit|mml:sum|mml:product|% + mml:fn% +\to \MMLcfunctionlist + +\convertargument + mml:sin|mml:arcsin|mml:sinh|mml:arcsinh|% + mml:cos|mml:arccos|mml:cosh|mml:arccosh|% + mml:tan|mml:arctan|mml:tanh|mml:arctanh|% + mml:cot|mml:arccot|mml:coth|mml:arccoth|% + mml:csc|mml:arccsc|mml:csch|mml:arccsch|% + mml:sec|mml:arcsec|mml:sech|mml:arcsech|% + mml:ln|mml:exp|mml:log|% + mml:abs% +\to \MMLcpurefunctionlist + +\convertargument + mml:diff|mml:partialdiff|mml:root% +\to \MMLcconstructlist + +%D We use inner and grouping (begin/end and no b/e) else we +%D get problems with 1/2(1+2) and alike (todo: ask taco). +%D +%D The problem with apply is that we need to take care of +%D several situations, like: +%D +%D \starttyping +%D <apply> <.../> ... +%D <apply> <fn> ... +%D <apply> <apply> <ci> ... +%D <apply> <apply> <fn> <ci> ... +%D \stoptyping +%D +%D Because we translated version 2 of this renderer into +%D version 3 the following definitions may be sub optimal or +%D more complex than actually needed. + +% simple version + +\newcount\@MMLlevel \def\MMLcreset{\@MMLlevel\zerocount} + +\let\MMLctempresetlist\empty \def\setMMLcreset{\edef\MMLctempresetlist} + +\let\MMLdoL\donothing +\let\MMLdoR\donothing + +\newcount\mmlapplydepth \def\MMLcreset{\mmlapplydepth\zerocount} + +\startxmlsetups mml:apply + \MMLmathinner { + \xmldoif {#1} {/(\MMLcmainresetlist\string|\MMLctempresetlist)} { + % \MMLcreset + } + \edef\mmlapplyopentoken {\xmlatt{#1}{open}} + \edef\mmlapplyclosetoken{\xmlatt{#1}{close}} + \ifcase\mmlapplydepth \else + \ifx\mmlapplyopentoken\empty + \def\mmlapplyopentoken {(} + \def\mmlapplyclosetoken{)} + \fi + \fi + \advance\mmlapplydepth\plusone + \begingroup + \ifx\mmlapplyopentoken\empty + \let\MMLdoL\donothing + \let\MMLdoR\donothing + \else + \edef\MMLdoL{\noexpand\left \mmlapplyopentoken } + \edef\MMLdoR{\noexpand\right\mmlapplyclosetoken} + \fi + \let\MMLctempresetlist\empty + \xmldoifelse {#1} {/mml:apply} { +% % <apply> <apply> ... </apply> <ci> .. </ci> </apply> +% \xmldoifelse {#1} {/mml:apply(mml:plus|mml:minus)} {% [a] +% % yet incomplete and rather untested +% % <apply> <apply> <minus/> <tan/> <cos/> </apply> <ci>x</ci> </apply> + } {% [b] +% \MMLcreset + } +% \MMLdoL +% \xmlfirst{#1}{/*} +% \ifconditional\somepostponedMMLactions +% \postponedMMLactions +% \else +% \left(\MMLcreset\mmlsecond{#1}\right) +% \fi +% \MMLdoR +% } { + \edef\mmlapplyaction{\xmlfilter{#1}{/*/name()}} + \doifsetupselse {mml:apply:\mmlapplyaction} { + \xmlsetup{#1}{mml:apply:\mmlapplyaction} + } { +% \MMLdoL + \xmlsetup{#1}{\xmlfilter{#1}{/*/name()}} +% \MMLdoR + } +% } + \endgroup + \advance\mmlapplydepth\minusone + } +\stopxmlsetups + +\startxmlsetups mml:apply:mml:apply + \xmlflush{#1} + \xmlall{#1}{../[position()>1]} +\stopxmlsetups +\startxmlsetups mml:apply:mml:fn + \hbox{todo}% obsolete +\stopxmlsetups +\startxmlsetups mml:apply:mml:csymbol + \hbox{todo} +\stopxmlsetups + + % \startsetups mmc:fn:apply + % \begingroup + % \rawXMLstacktext\plusone % still on stack, no check, just fn content + % \doifelse {\getXMLstackname\plusone} {ci} { + % \flattenXMLcontent{\getXMLstackdata\plusone} + % \doifsetupselse{mmc:fn:\flattenedXMLcontent} { + % % \MMLdoL/MMLdoR to be handled in plugin + % \global\defXMLstackdata\XMLfnoperator\plusone + % \expanded{\endgroup\noexpand\directsetup{mmc:fn:\flattenedXMLcontent}} + % } { + % \endgroup + % \MMLcreset + % \MMLdoL + % \getXMLstackdata\plusone + % \ifnum\XMLstacklevel>\plusone + % \getXMLentity{NegThinSpace} + % \left(\MMLcreset\flushXMLstackwith\plustwo{\MMLseparator,}\right) + % \fi + % \MMLdoR + % } + % } { + % \endgroup + % \MMLcreset + % \MMLdoL + % \getXMLstackdata\plusone + % \MMLdoR + % } + % \stopsetups + + % \startsetups mmc:csymbol:apply + % \begingroup + % \defineXMLsave[csymbol][definitionURL=,encoding=] + % \rawXMLstackdata\plusone % was text % still on stack, no check, just attr test + % % \MMLdoL/MMLdoR to be handled in plugin + % \lowercasestring\XMLpar{csymbol}{definitionURL}{}\to\mmcSymbolURL + % \doifsetupselse{mmc:csymbol:\mmcSymbolURL} { + % \expanded{\endgroup\noexpand\directsetup{mmc:csymbol:\mmcSymbolURL}} + % } { + % \endgroup + % %\XMLval{mmc:cs}{\XMLop{encoding}}{\firstofoneargument}% fails when no content + % \XMLval{mmc:cs}{\XMLop{encoding}}{} + % } + % \stopsetups + + +\startxmlsetups mml:apply:mml:ci + \xmlfirst{#1}{/mml:ci} + \ifnum\xmlcount{#1}{/*}>\plusone + \left(\MMLcreset\xmlconcatrange{#1}{/*}{2}{}{\MMLseparator,}\right) + \fi +\stopxmlsetups + +% reln + +\startxmlsetups mml:reln + \writestatus{XML}{MathML element "reln" is obsolete} +\stopxmlsetups + +% fn + + \startsetups mmc:fn:plusminus + \ifnum\XMLstacklevel>\plustwo + \MMLcreset + \left(\expandafter\flushXMLstackwith\expandafter\plustwo\expandafter{\XMLfnoperator}\right) + \else + \getXMLstackdata\plustwo + \fi + \stopsetups + + \startsetups mmc:fn:minusplus + \directsetup{mmc:fn:plusminus} + \stopsetups + + \defineXMLnested + [fn] + {\directsetup{mmc:fn:start}} + {\directsetup{mmc:fn:stop}} + + \startsetups mmc:fn:apply + \begingroup + \rawXMLstacktext\plusone % still on stack, no check, just fn content + \doifelse {\getXMLstackname\plusone} {ci} { + \flattenXMLcontent{\getXMLstackdata\plusone} + \doifsetupselse{mmc:fn:\flattenedXMLcontent} { + \global\defXMLstackdata\XMLfnoperator\plusone + \expanded{\endgroup\noexpand\directsetup{mmc:fn:\flattenedXMLcontent}} + } { + \endgroup + \MMLcreset + \getXMLstackdata\plusone + \ifnum\XMLstacklevel>\plusone + \getXMLentity{NegThinSpace} + \left(\MMLcreset\flushXMLstackwith\plustwo{\MMLseparator,}\right) + \fi + } + } { + \endgroup + \MMLcreset + \getXMLstackdata\plusone + } + \stopsetups + + \startsetups mmc:fn:start + \ifnum\XMLstacklevel>\plustwo + \def\MMCfnleft {\left(} + \def\MMCfnright{\right)} + \else + \let\MMCfnleft \relax + \let\MMCfnright\relax + \fi + \begingroup + \stopsetups + + \startsetups mmc:fn:stop + \doifelse {\getXMLstackname\plusone} {ci} { + \flattenXMLcontent{\getXMLstackdata\plusone} + \doifsetupselse{mmc:fn:\flattenedXMLcontent} { + \global\defXMLstackdata\XMLfnoperator\plusone + \directsetup{mmc:fn:\flattenedXMLcontent} + } { + \MMLcreset + \getXMLstackdata\plusone + } + \endgroup + } { + \doifelse {\getXMLstackname\plusone} {apply} { + \xmldoifelse {#1} {/(mml:plus\string|mml:minus)} { + \left( + \getXMLstackdata\plusone + \right) + } { + \getXMLstackdata\plusone + } + \endgroup + \ifnum\XMLstacklevel>\plusone + \left( + \getXMLstackdata\plustwo + \right) + \fi + } { + \MMLcreset + \getXMLentity{NegThinSpace} + \MMCfnleft + \ifnum\XMLstacklevel=\plustwo,\fi + \flushXMLstackwith\plustwo, + \MMCfnright + \endgroup + } + } + \stopsetups + +%D The next definition provide a kind of plug-in mechanism (see +%D the open math extension module). + +% http://www.publishers.com/somename + +\starttexdefinition mmlapplycsymbol #1#2#3#4 + % #1=full url, #2=name, #3=encoding, #4=text + \doifelse {#3} {text} { + {\mr #4} + } { + \doifsetupselse {mml:csymbol:#1} { + % full url + \directsetup{mml:csymbol:#1} + } { + % somename (fallback) + \doifsetupselse {mmc:csymbol:#2} { + \directsetup{mml:csymbol:#2} + } { + \XMLval{mmc:cs}{#3}{}% todo + } + } + } +\stoptexdefinition + +\startxmlsetups mml:csymbol + \ctxlua{lxml.mml.csymbol("#1")} +\stopxmlsetups + +% \startxmlsetups mml:csymbol:<url> \stopxmlsetups + +%D Alternative b will convert periods into comma's: +%D +%D \startbuffer +%D \startXMLdata +%D <imath><apply><cn>1.23</cn></apply></imath> +%D <dmath><apply><cn>1.23</cn></apply></dmath> +%D \stopXMLdata +%D +%D \type{\setupMMLappearance[cn] [alternative=b]} +%D +%D \startXMLdata +%D <imath><apply><cn>1.23</cn></apply></imath> +%D <dmath><apply><cn>1.23</cn></apply></dmath> +%D \stopXMLdata +%D \stopbuffer +%D +%D \start \typebuffer \getbuffer \stop + +\setupMMLappearance[cn] [\c!alternative=\v!a] +\setupMMLappearance[polar] [\c!alternative=\v!a] % a|b|c +\setupMMLappearance[float] [\c!symbol=\v!no] % \v!yes|dot +\setupMMLappearance[enotation][\c!symbol=\v!no] % \v!yes|dot +\setupMMLappearance[base] [\c!symbol=\v!numbers] % digits|characters|text|no + +\startxmlsetups mml:cs \xmlcommand{#1}{/}{mml:cs:\xmlattdef{#1}{type}{default}} \stopxmlsetups +\startxmlsetups mml:ci \xmlcommand{#1}{/}{mml:ci:\xmlattdef{#1}{type}{default}} \stopxmlsetups +\startxmlsetups mml:cn \xmlcommand{#1}{/}{mml:cn:\xmlattdef{#1}{type}{default}} \stopxmlsetups + +% helpers cn + +\startxmlsetups mml:cn:default + \mathopnolimits{\xmlflush{#1}} +\stopxmlsetups + +% helpers ci + +\startxmlsetups mml:ci:default + \xmlflush{#1} +\stopxmlsetups + +\startxmlsetups mml:ci:set + {\bbd\xmlflush{#1}} +\stopxmlsetups + +\startxmlsetups mml:ci:vector + \widevec{\xmlflush{#1}} +\stopxmlsetups + +\startxmlsetups mml:ci:matrix + {\bi\xmlflush{#1}} +\stopxmlsetups + +\startxmlsetups mml:ci:function + \xmlflush{#1}\negthinspace +\stopxmlsetups + +\startxmlsetups mml:ci:fn + \xmlsetup{#1}{mml:ci:function} +\stopxmlsetups + +\startxmlsetups mml:ci:complex-cartesian + \xmlsetup{#1}{mml:cn:complex} +\stopxmlsetups + +\startxmlsetups mml:ci:complex + \xmlsetup{#1}{mml:cn:complex} +\stopxmlsetups + +\startxmlsetups mml:ci:complex-polar + \xmlsetup{#1}{mml:cn:polar} +\stopxmlsetups + +\startxmlsetups mml:ci:polar + \xmlsetup{#1}{mml:cn:polar} +\stopxmlsetups + +% \doif\MMLcnalternative\v!b{\redefinemathcharacter [.][ord][mi]["3B]\relax}% +% +% todo: number function from mmp + +% helpers ci + +\startxmlsetups mml:cn:default + \xmlflush{#1} +\stopxmlsetups + +\startxmlsetups mml:cn:integer + \edef\mmlintegerbase{\xmlattdef{#1}{base}{}} + \ifx\mmlintegerbase\empty + \xmlflush{#1} + \else + \doifelse \MMLbasesymbol \v!no { + \MMLcCNbasedata{\xmlflush{#1}} + } { + \MMLcCNbasedata{\xmlflush{#1}}_{ + \hbox {$ + \mr + \scriptscriptstyle + \processaction + [\MMLbasesymbol] + [\v!characters=>\MMLcCNbasestring BODH, + \v!text=>\MMLcCNbasestring{BIN}{OCT}{DEC}{HEX}, + \s!unknown=>\mmlintegerbase] + $} + } + } + \fi +\stopxmlsetups + +\def\MMLcCNbasedata#1% + {\ifnum\mmlintegerbase>10 \relax{\mr#1}\else#1\fi} + +\def\MMLcCNbasestring#1#2#3#4% + {\ifnum\mmlintegerbase= 2 #1\else + \ifnum\mmlintegerbase= 8 #2\else + \ifnum\mmlintegerbase=10 #3\else + \ifnum\mmlintegerbase=16 #4\else + \mmlintegerbase \fi\fi\fi\fi} + +\startxmlsetups mml:cn:polar + \xmlsetup{#1}{mml:cn:polar:\MMLpolaralternative} +\stopxmlsetups + +\startxmlsetups mml:cn:polar:a + \mathopnolimits{Polar}% ? ? ? + \left(\xmlsnippet{#1}{1},\xmlsnippet{#1}{1}\right) +\stopxmlsetups + +\startxmlsetups mml:cn:polar:b +% {\mr e}^{\xmlsnippet{#1}{1}\mskip2mu\getXMLentity{imaginaryi}} + {\mr e}^{\xmlsnippet{#1}{1}+\xmlsnippet{#1}{3}{\mr i}} +\stopxmlsetups + +\startxmlsetups mml:cn:polar:c +% \exp\left(\xmlsnippet{#1}{1}\mskip2mu\getXMLentity{imaginaryi}\right)} + \exp\left(\xmlsnippet{#1}{1}+\xmlsnippet{#1}{3}\mskip2mu\getXMLentity{imaginaryi}\right) +\stopxmlsetups + +\startxmlsetups mml:cn:complex-polar + \xmlsetup{#1}{mml:cn:polar} +\stopxmlsetups + +\startxmlsetups mml:cn:complex + \xmlsnippet{#1}{1} + \xmlsnippet{#1}{3}{\mr i} +\stopxmlsetups + +\startxmlsetups mml:cn:complex-cartesian + \xmlsetup{#1}{mml:cn:complex} +\stopxmlsetups + +\startxmlsetups mml:cn:float + \doifelse \MMLfloatsymbol \v!no { + % make sure that e shows up ok + \mathopnolimits{\xmlflush{#1}} + } { + % we should ignore \entities ! + \edef\mmlfloatstring{\xmlflush{#1}} + \splitstring\mmlfloatstring\at e\to\first\and\last + \ifx\first\empty + \mmlfloatstring + \else\ifx\last\empty + \mmlfloatstring + \else + \first + \doifelse \MMLfloatsymbol {dot} \cdot \times + 10^{\last} + \fi \fi + } +\stopxmlsetups + +\startxmlsetups mml:cn:real + \xmlsetup{#1}{mml:cn:float} +\stopxmlsetups + +\startxmlsetups mml:cn:e-notation + \doifelse \MMLenotationsymbol \v!no { + \xmlsnippet{#1}{1} + \unskip\mathopnolimits{e}\ignorespaces + \xmlsnippet{#1}{3} + } { + \xmlsnippet{#1}{1} + \doifelse \MMLenotationsymbol {dot} \cdot + \times10^{\xmlsnippet{#1}{3}} + } +\stopxmlsetups + +\startxmlsetups mml:cn:logical + \mathopnolimits{\xmlflush{#1}} +\stopxmlsetups + +\startxmlsetups mml:cn:rational + \xmldoifelse {#1} {/mml:sep} { + \frac + {\xmlsnippet{#1}{1}} + {\xmlsnippet{#1}{3}} + } { + \xmlflush{#1} + } +\stopxmlsetups + +% interval + +\setupMMLappearance[interval][\c!alternative=\v!a,\c!separator={,}] + +\startxmlsetups mml:interval + \xmlsetup{#1}{mml:interval:\xmlattdef{#1}{closure}{closed}} +\stopxmlsetups + +\startxmlsetups mml:interval:closed + \left[\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right] +\stopxmlsetups + +\startxmlsetups mml:interval:open-closed + \doifelse \MMLintervalalternative \v!b { + \left<\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right] + } { + \left(\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right] + } +\stopxmlsetups + +\startxmlsetups mml:interval:closed-open + \doifelse \MMLintervalalternative \v!b { + \left[\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right> + } { + \left[\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right) + } +\stopxmlsetups + +\startxmlsetups mml:interval:open + \doifelse \MMLintervalalternative \v!b { + \left<\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right> + } { + \left(\mmlfirst{#1}\MMLseparator\MMLintervalseparator\mmlsecond{#1}\right) + } +\stopxmlsetups + +% inverse + +% \startxmlsetups mml:inverse +% \xmldoifelse {#1} {/(\MMLcpurefunctionlist)} { +% \mmlsecond{#1}^{-1} +% \xmlall{#1}{/[position()>2]} +% } { +% {\left[\mmlthird{#1}\right]}^{-1} +% } +% \stopxmlsetups + +\setfalse\xmlinversefunction + +\startxmlsetups mml:apply:inverse + \settrue\xmlinversefunction +% \ctxlua{print(table.serialize(lxml.id("#1")))} + \xmlsetup{#1}{\xmlfilter{#1}{/mml:apply/*/name(1)}} +\stopxmlsetups + +\startxmlsetups xml:mml:inverse + \xmlsetsetup{\xmldocument}{mml:apply/mml:apply/mml:inverse/../../..}{mml:apply:inverse} +\stopxmlsetups + +\xmlregistersetup{xml:mml:inverse} + +% condition + +% maybe a fast \xmlnonfirst + +\startxmlsetups mml:bvar \xmlflush{#1} \stopxmlsetups +\startxmlsetups mml:lowlimit \xmlflush{#1} \stopxmlsetups +\startxmlsetups mml:uplimit \xmlflush{#1} \stopxmlsetups +\startxmlsetups mml:degree \xmlflush{#1} \stopxmlsetups + +\startxmlsetups mml:condition +% \xmldoif {#1} {/mml:bvar} { +% \xmlfirst{#1}{/mml:bvar}\mid +% } + \xmlall{#1}{/!(mml:condition\string|mml:bvar)} +\stopxmlsetups + +% declare + +\setupMMLappearance[declare][\c!state=\v!start] + +\startxmlsetups mml:declare + \doif \MMLdeclarestate \v!start { + \mathopnolimits{declare} + \xmlindex{#1}{/*}{1} + \ifnum \xmlcount{#1}{/} > \plusone + \thickspace + \mathopnolimits{as} + \thickspace + \fi + \mmlsecond{#1} + } +\stopxmlsetups + +% lambda + +\setupMMLappearance[lambda][\c!alternative=b] + +\startxmlsetups mml:lambda + \begingroup + \doifelse \MMLlambdaalternative \v!a { + \lambda\left(\xmlconcat{#1}{/!mml:lambda}{\MMLseparator,}\left) + } { + \ifnum \xmlcount {#1} {/mml:bvar} > \plusone + \left(\xmlconcat{#1}{/mml:bvar}{\MMLseparator,}\right) + \else + \xmlfirst{#1}{/mml:bvar} + \fi + \mapsto + \MMLcreset + \xmlall{#1}{/!(mml:bvar|mml:lambda)} + } + \endgroup +\stopxmlsetups + +% compose + +\startxmlsetups mml:compose + \begingroup + \MMLcreset +% \let\MMLcCIfunction\firstofoneargument % brrr ? ? ? + \doifelsemmlfunction { + \left(\xmlconcatrange{#1}{/*}{2}{}{\circ}\right) + } { + \xmlconcatrange{#1}{/*}{2}{}{\circ} + } + \endgroup +\stopxmlsetups + +\startxmlsetups mml:image + \mathopnolimits{image} \left( \xmlfilter{#1}{/!mml:image/name()} \right) +\stopxmlsetups + +\setupMMLappearance[piece][\c!separator=] + +\startxmlsetups mml:piecewise + \processaction + [\MMLpieceseparator] + [ \v!yes=>\def\theMMLpieceseparator{,&}, + \v!no=>\def\theMMLpieceseparator{&}, + \s!default=>\def\theMMLpieceseparator{&}, + \s!unknown=>\def\theMMLpieceseparator{\,\,\hbox{\MMLpieceseparator}\,\,}] + \cases{\xmlflush{#1}} +\stopxmlsetups + +\startxmlsetups mml:piece + \mmlfirst{#1}\theMMLpieceseparator\mathematics{\mmlsecond{#1}}\crcr +\stopxmlsetups + +\startxmlsetups mml:otherwise +% \xmlflush{#1}\MMLcPIECEseparator&{\mr otherwise}\crcr + \xmlflush{#1}&{\mr otherwise}\crcr +\stopxmlsetups + +% end of piece + +\startxmlsetups mml:quotient + \lfloor\mmlsecond{#1}/\mmlthird{#1}\rfloor +\stopxmlsetups + +\startxmlsetups mml:factorial + \xmlall{#1}{/!factorial}! +\stopxmlsetups + +\setupMMLappearance [divide] [\c!level=\!!maxcard,\c!alternative=\v!a] + +\newcount\mmldividelevel + +\startxmlsetups mml:divide + \advance\mmldividelevel\plusone + \doifelse \MMLdividealternative \v!b { + \mmlsecond{#1}/\mmlthird{#1} + } { + \ifnum \mmldividelevel > \MMLdividelevel \relax % threshold + \mmlsecond{#1}/\mmlthird{#1} + \else + \MMLcreset + \frac{\MMLcreset\mmlsecond{#1}}{\MMLcreset\mmlthird{#1}} + \fi + } + \advance\mmldividelevel\minusone +\stopxmlsetups + +% min max + +\startxmlsetups mml:min \mathopnolimits{min} \xmlsetup{#1}{mml:minmax} \stopxmlsetups +\startxmlsetups mml:max \mathopnolimits{max} \xmlsetup{#1}{mml:minmax} \stopxmlsetups + +\startxmlsetups mml:minmax + \xmldoif {#1} {/mml:bvar} { + {}_{\xmlfirst{#1}{/mml:bvar}} + } + \left\{ + \xmlconcat{#1}{/!(mml:bvar\string|mml:max\string|mml:min)}{\MMLseparator,} + \right\} +\stopxmlsetups + +% minus plus + +\setupMMLappearance [plus] [\c!alternative=\v!a] % b = no sign -> 3 1/4 +\setupMMLappearance [sign] [\c!reduction=\v!yes] + +% alternative b -> geen sign + +% branch needed, else (a-b) + (c-d) goes wrong +% reset check in case of (-x) + 37 +% reset check in case of (-x) + 37 + +\newcount\mmlpluscounter + +\startxmlsetups mml:plus + \doifelse \MMLsignreduction \v!yes { + \MMLdoL + \xmlsetup{#1}{mml:plus:reset} + \xmlcommand{#1}{/!mml:plus}{mml:plus:body} + \MMLdoR + } { + \ifnum\xmlcount{#1}{/!mml:plus}=\plusone + +\xmlfirst{#1}{/!mml:plus} + \else + \MMLdoL + \xmlconcat{#1}{/!mml:plus}{+} + \MMLdoR + \fi + } +\stopxmlsetups + +\startxmlsetups mml:plus:reset + \mmlpluscounter\zerocount +\stopxmlsetups + +\startxmlsetups mml:plus:body + \advance\mmlpluscounter\plusone + \ifnum\mmlpluscounter>\plusone + \xmldoifelse{#1}{/mml:minus} { + \ifnum\xmlcount{#1}{/!mml:minus}>\plusone + + + \fi + } { + \doifelse {\xmlatt{#1}{type}} {rational} { + % fraction + } { + + + } + } + \fi + \xmldirect{#1} +\stopxmlsetups + +\newcount\mmlminuscounter + +\startsetups mml:minus + \doifelse \MMLsignreduction \v!yes { + } { + } + \ifnum\xmlcount{#1}{/!mml:minus}=\plusone + -\xmlfirst{#1}{/!mml:minus} + \else + \MMLdoL + \xmlsetup{#1}{mml:minus:reset} + \xmlcommand{#1}{/!mml:minus}{mml:minus:body} + \MMLdoR + \fi +\stopsetups + +\startxmlsetups mml:minus:reset + \mmlminuscounter\zerocount +\stopxmlsetups + +\startxmlsetups mml:minus:body + % we can slso use concat here + \advance\mmlminuscounter\plusone + \ifnum\mmlminuscounter>\plusone + - + \fi + \xmldirect{#1} +\stopxmlsetups + +% power + +\setupMMLappearance[power][\c!reduction=\v!yes] + +\let\MMLpowerelement\empty + +\startxmlsetups mml:power + \xmldoifelse {#1} {/mml:apply} { + \doifelse \MMLpowerreduction \v!yes { + \xmldoifelse {#1} {/(\MMLcfunctionlist)} { + \gdef\MMLpowerelement{\mmlthird{#1}}% postpone, no xdef + \MMLcreset\mmlsecond{#1} + } { + \left(\MMLcreset\mmlsecond{#1}\right)^{\MMLcreset\mmlthird{#1}} + } + } { + \left(\MMLcreset\mmlsecond{#1}\right)^{\MMLcreset\mmlthird{#1}} + } + } { + \mmlsecond{#1}^{\MMLcreset\mmlthird{#1}} + } +\stopxmlsetups + +% rem + +\startxmlsetups mml:rem + \xmlconcat{#1}{/!mml:rem}{\mathopnolimits{mod}} +\stopxmlsetups + +\setupMMLappearance [times] [\c!symbol=\v!no,\c!auto=\v!yes] % new, auto catches cn cn cn + +\startxmlsetups mml:times + \setMMLcreset{\MMLcfunctionlist\string|\MMLcconstructlist}% + \doifelse\MMLtimesauto\v!no { + \let\MMLtimes@@symbol\MMLtimessymbol + } { + \xmldoifelse {#1} {/mml:cn[name(1) == 'mml:cn']} {% name(1) is next one + \doifinsetelse\MMLtimessymbol{\v!yes,\v!no} { + \let\MMLtimes@@symbol\v!yes + } { + \let\MMLtimes@@symbol\MMLtimessymbol + } + } { + \let\MMLtimes@@symbol\MMLtimessymbol + } + } + \doifelse\MMLtimes@@symbol\v!yes { + \xmlconcat{#1}{/!mml:times}{\times} + } { + \doifelse\MMLtimes@@symbol{dot} { + \xmlconcat{#1}{/!mml:times}{\cdot} + } { + \doifelse\MMLtimes@@symbol{times} { + \xmlconcat{#1}{/!mml:times}{\times} + } { + \xmlall{#1}{/!mml:times} + } + } + } +\stopxmlsetups + +\setupMMLappearance[root][\c!symbol=\v!yes] + +\startxmlsetups mml:root + \xmldoifelse {#1} {/mml:degree} { + \root + \doifnot\MMLrootsymbol\v!no{\MMLcreset\xmltext{#1}{/mml:degree}} + \of + } { + \sqrt + } + {\MMLcreset\xmlall{#1}{/!(mml:degree\string|mml:root)}} +\stopxmlsetups + +% gcd + +\startxmlsetups mml:gcd + \begingroup + \gcd\left(\MMLcreset\xmlconcat{#1}{/!mml:gcd}{\MMLseparator,}\right) + \endgroup +\stopxmlsetups + +% and or xor implies, not + +\startxmlsetups mml:and \xmlconcat{#1}{/!mml:and} {\wedge} \stopxmlsetups +\startxmlsetups mml:or \xmlconcat{#1}{/!mml:or} {\vee} \stopxmlsetups +\startxmlsetups mml:xor \xmlconcat{#1}{/!mml:xor} {\mathopnolimits{xor}} \stopxmlsetups +\startxmlsetups mml:implies \xmlconcat{#1}{/!mml:implies}{\Rightarrow} \stopxmlsetups +\startxmlsetups mml:not \neg \xmlall {#1}{/!mml:not} \stopxmlsetups + +% forall exists + +%D We need to shift left below rotated A. + +\startxmlsetups mml:forall + \forall \negthinspace \xmlsetup{#1}{mml:forallexists} +\stopxmlsetups + +\startxmlsetups mml:exists + \exists \xmlsetup{#1}{mml:forallexists} +\stopxmlsetups + +\def\mmlforallexistslist{mml:bvar\string|mml:forall\string|mml:exists\string|mml:condition} + +\startxmlsetups mml:forallexists + _{\xmlconcat{#1}{/mml:bvar}{\MMLseparator,}} + \xmldoifelse {#1} {/mml:condition} { + \thickspace + \begingroup + \xmlfirst{#1}{/mml:condition} + \endgroup + \ifcase\xmlcount{#1}{/!(\mmlforallexistslist)}\relax + % nothing + \or + % == snelle volgende + \left\vert + \MMLcreset \medspace \xmlconcat{#1}{/!(\mmlforallexistslist)}{} + \right. + \else + % special case + \left\vert + \matrix { + \xmlconcat{#1}{/!(\mmlforallexistslist)}{\hfill\crcr} + } + \right. + \fi + } { + :\xmlfirst{#1}{/!(\mmlforallexistslist)} + } +\stopxmlsetups + +\startxmlsetups mml:abs + \left\vert \MMLcreset\xmlall{#1}{/!mml:abs} \right\vert +\stopxmlsetups + +\startxmlsetups mml:conjugate % watch extra {} + {\overline{\MMLcreset\xmlall{#1}{/!mml:conjugate}}} +\stopxmlsetups + +\startxmlsetups mml:arg + \mathopnolimits{arg} \left( \MMLcreset\xmlall{#1}{/!mml:arg} \right) +\stopxmlsetups + +\startxmlsetups mml:real + \Re \left( \MMLcreset \xmlall{#1}{/!mml:real} \right) +\stopxmlsetups + +\startxmlsetups mml:imaginary + \Im \ left( \MMLcreset \xmlall{#1}{/!mml:imaginary} \right) +\stopxmlsetups + +\startxmlsetups mml:lcm + \mathopnolimits{lcm} \left( \xmlconcat{#1}{/!mml:lcm}{\MMLseparator,} \right) +\stopxmlsetups + +\startxmlsetups mml:floor + \lfloor \xmlall{#1}{/!mml:floor} \rfloor +\stopxmlsetups + +\startxmlsetups mml:ceiling + \lceiling \xmlall{#1}{/!mml:ceiling} \rceiling +\stopxmlsetups + +% relations + +% apply attr or eq + +\setupMMLappearance[relation][\c!align=\v!no] + +\mapXMLvalue {mml:relation} {mml:eq} {=} +\mapXMLvalue {mml:relation} {mml:neq} {\neq} +\mapXMLvalue {mml:relation} {mml:gt} {>} +\mapXMLvalue {mml:relation} {mml:lt} {<} +\mapXMLvalue {mml:relation} {mml:geq} {\geq} +\mapXMLvalue {mml:relation} {mml:leq} {\leq} +\mapXMLvalue {mml:relation} {mml:equivalent} {\equiv} +\mapXMLvalue {mml:relation} {mml:approx} {\approx} +\mapXMLvalue {mml:relation} {mml:factorof} {\mid} + +\startxmlsetups mml:eq \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:neq \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:gt \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:lt \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:geq \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:leq \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:equivalent \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:approx \xmlsetup{#1}{mml:relation} \stopxmlsetups +\startxmlsetups mml:factorof \xmlsetup{#1}{mml:relation} \stopxmlsetups + +\startxmlsetups mml:relation + \edef\mmlapplyaction{\xmlfilter{#1}{/*/name()}} + \MMLcreset \xmlsetup{#1}{mml:relation:\xmlattdef{#1}{align}{\MMLrelationalign}} +\stopxmlsetups + +\startxmlsetups mml:relation:default + \xmlconcatrange{#1}{/*}{2}{}{\XMLval{mml:relation}{\mmlapplyaction}{?}} +\stopxmlsetups +\startxmlsetups mml:relation:last + \eqalign { + \xmlconcatrange{#1}{/*}{2}{-2}{&\XMLval{mml:relation}{\mmlapplyaction}{?}\crcr} + \mmlprelast{#1}&\XMLval{mml:relation}{\mmlapplyaction}{?}{}\mmllast{#1} + } +\stopxmlsetups +\startxmlsetups mml:relation:first + \eqalign { + \mmlsecond{#1}\XMLval{mml:relation}{\mmlapplyaction}{?}{} + &\xmlconcatrange{#1}{/*}{3}{}{\crcr\XMLval{mml:relation}{\mmlapplyaction}{?}{}&} + } +\stopxmlsetups +\startxmlsetups mml:relation:left + \eqalign { + \xmlconcatrange{#1}{/*}{2}{}{&\XMLval{mml:relation}{\mmlapplyaction}{?}\crcr} + } +\stopxmlsetups +\startxmlsetups mml:relation:right + \eqalign { + &\xmlconcatrange{#1}{/*}{2}{}{\crcr\XMLval{mml:relation}{\mmlapplyaction}{?}{}&} + } +\stopxmlsetups +\startxmlsetups mml:relation:no + \xmlsetup{#1}{mml:relation:default} +\stopxmlsetups +\startxmlsetups mml:relation:yes + \xmlsetup{#1}{mml:relation:left} +\stopxmlsetups + +% personal goody: + +\edef\MMLcmainresetlist{\MMLcmainresetlist\string|becomes} + +\mapXMLvalue {mml:relation} {mml:becomes} {:=} + +\startxmlsetups mml:becomes \xmlsetup{#1}{mml:relation} \stopxmlsetups + +% calculus and vector calculus + +\startxmlsetups mml:domainofapplication + \xmlall{#1}{/!mml:domainofapplication} +\stopxmlsetups + +\setupMMLappearance[int][\c!location=\v!top] + +\def\doMMLlimits#1{\doifelsevalue{MML#1\c!location}\v!top\limits\nolimits} + +\startxmlsetups mml:int + \MMLcreset + \xmldoifelse {#1} {/mml:domainofapplication} { + \int \doMMLlimits{int}_{\xmlfirst{#1}{/mml:domainofapplication}}\relax + } { + \xmldoifelse {#1} {/mml:condition} { + \int \doMMLlimits{int}_{\xmlfirst{#1}{/mml:condition}}\relax + } { + \xmldoifelse {#1} {/mml:lowlimit} { + \int \doMMLlimits{int}_{\xmlfirst{#1}{/mml:lowlimit}}^{\xmlfirst{#1}{/mml:uplimit}} + } { + % funny, why do we have lowlimit/uplimit then + \xmldoifelse {#1} {/mml:apply/mml:interval} { + \int \doMMLlimits{int}_{\xmlindex{#1}{/mml:apply}{2}}^{\xmlindex{#1}{/mml:apply}{3}} + } { + \int + } + } + } + } + \MMLcreset + \xmldoifelse {#1} {/mml:apply} { + \doifelsemmlfunction {#1} { % todo test + \xmlfirst{#1}{/mml:apply} + } { + % if there are too many () now, we need to be more clever + \left( \xmlfirst{#1}{/mml:apply} \right) + } + } { + \xmlfirst{#1}{/mml:ci} + } + \xmldoifelse {#1} {/mml:bvar} { + \thinspace {\mr d} \xmlfirst{#1}{/mml:bvar} + } { + % nothing + } +\stopxmlsetups + +\setupMMLappearance[diff][\c!location=\v!top,\c!alternative=\v!a] + +% \setupMMLappearance[diff][alternative=b] +% +% \startXMLdata +% <math><apply><apply><diff/><bvar><ci>x</ci></bvar><ci>f</ci></apply><ci>a</ci></apply></math> +% <math><apply><apply><diff/><bvar><ci>x</ci></bvar><degree>2</degree><ci>f</ci></apply><ci>a</ci></apply></math> +% \stopXMLdata + +% d^y/dx^2 +% +% \startXMLdata +% <math><apply><diff/> +% <bvar><ci>x</ci><cn type="integer">2</cn></bvar> +% <lambda><bvar><ci>x</ci></bvar><ci>y</ci></lambda> +% </apply></math> +% \stopXMLdata + +\startxmlsetups mml:diff + \MMLcreset + \doifelse \MMLdiffalternative \v!a { + \xmldoifelse {#1} {/mml:lambda} { + % a special case (mathadore/openmath) + \frac { + d^{\xmlfirst{#1}{/mml:bvar}\xmlfirst{#1}{/mml:cn}}{\xmlfirst{#1}{/mml:lambda}\xmlfirst{#1}{/mml:ci}} + } { + d{\xmlfirst{#1}{/mml:bvar}\xmlfirst{#1}{/mml:ci}}^{\xmlfirst{#1}{/mml:bvar}\xmlfirst{#1}{/mml:cn}} + } + } { + \xmldoifelse {#1} {/mml:bvar} { + \frac { + {\mr d}{ + \xmldoifelse {#1} {/mml:degree} { + ^{\xmlconcat{#1}{/mml:degree}\empty} + } { + \xmldoif {#1} {/mml:bvar/mml:degree} { + ^{\xmlconcat{#1}{/mml:bvar/mml:degree}+} + } + } + } + \doif \MMLdifflocation \v!top { + \xmldoifelse {#1} {/mml:ci} { + \xmlfirst{#1}{/mml:ci} + } { + \MMLcreset + \xmlfirst{#1}{/mml:apply} + } + } + } { + {\mr d} + \xmlfirst{#1}{/mml:bvar/!mml:degree} + \xmldoif {#1} {/mml:bvar/mml:degree} { + ^{\xmlfirst{#1}{/mml:bvar/mml:degree}} + } + } + \doifnot \MMLdifflocation \v!top { + \left(\MMLcreset\xmlfirst{#1}{/(mml:apply\string|mml:ci)}\right) + } + } { + \xmlconcatrange{#1}{/*}{2}{}^\prime + } + } + } { + \MMLcreset + \xmlfirst{#1}{/(mml:apply\string|mml:ci)} + % there can be problems with nested diff's: ^^{} error + % so we add an empty group here + {}^ + { + \xmldoifelse {#1} {/mml:degree} { + \edef\mmldegree{\xmlfirst{#1}{/mml:degree/mml:cn}} + \ifx\mmldegree\empty + % what to do here + \else + \dorecurse\mmldegree\prime + \fi + } { + \prime + } + } + } +\stopxmlsetups + +\startxmlsetups mml:partialdiff + \xmldoifelse {#1} {/mml:list} { + {\mr D}_{ + \begingroup + \setfalse\mmllistdelimiters + \xmlall{#1}{/mml:list} + \endgroup + } + \xmlfirst{#1}{/(mml:apply\string|mml:reln\string|mml:ci\string|mml:cn)} + } { + \xmldoifelse {#1} {/mml:bvar} { + \frac { + {\mr d}^{ + \xmldoifelse {#1} {/mml:degree} { + \xmlconcat{#1}{/mml:degree}\empty + } { + \xmlconcat{#1}{/mml:bvar/mml:degree}+ + } + } + \MMLcreset + \xmlfirst{#1}{/(mml:apply\string|mml:reln\string|mml:ci\string|mml:cn)} + } { + \xmlfirst{#1}{/mml:bvar} + {\mr d}\xmlfirst{#1}{/(mml:apply\string|mml:reln\string|mml:ci\string|mml:cn)} + \xmldoif {#1} {/mml:degree} { + ^{\xmlfirst{#1}{/mml:degree}} + } + } + } { + \xmlfirst{#1}{/(mml:apply\string|mml:reln\string|mml:ci\string|mml:cn)} + } + } +\stopxmlsetups + +% option: to be discussed with taco/aditya: all math functions \mathentity +% +% \defineXMLentity [div] {\mathematics{\triangledown\times}} +% \defineXMLentity [curl] {\mathematics{\triangledown .}} +% \defineXMLentity [grad] {\mathematics{\triangledown }} + +\startxmlsetups mml:divergence \mathopnolimits{div} \xmlall{#1}{/!mml:divergence} \stopxmlsetups +\startxmlsetups mml:grad \mathopnolimits{grad} \xmlall{#1}{/!mml:grad} \stopxmlsetups +\startxmlsetups mml:curl \mathopnolimits{curl} \xmlall{#1}{/!mml:curl} \stopxmlsetups +\startxmlsetups mml:laplacian \nabla^2 \xmlall{#1}{/!mml:laplacian} \stopxmlsetups +\startxmlsetups mml:ident \mathopnolimits{identity} \xmlall{#1}{/!mml:ident} \stopxmlsetups + +\setupMMLappearance[domain] [symbol=] +\setupMMLappearance[codomain][symbol=] + +\startxmlsetups mml:domain + \doifelsenothing \MMLdomainsymbol { + \mathopnolimits{domain}\MMLcreset\xmlall{#1}{/!mml:domain} + } { + \MMLdomainsymbol_{\xmlall{#1}{/!mml:domain}} + } +\stopxmlsetups + +\startxmlsetups mml:codomain + \doifelsenothing \MMLcodomainsymbol { + \mathopnolimits{codomain}\MMLcreset\xmlall{#1}{/!mml:codomain} + } { + \MMLcodomainsymbol_{\xmlall{#1}{/!mml:codomain}} + } +\stopxmlsetups + +% theory of sets + +\startxmlsetups mml:set + \left\{ + \xmldoifelse {#1} {/mml:condition} { + \xmlfirst{#1}{/mml:bvar}\,\middle\vert\,\xmlfirst{#1}{/mml:condition} + } { + \xmlconcat{#1}{/!mml:set}{\MMLseparator,} + } + \right\} + \relax % needed +\stopxmlsetups + +\settrue\mmllistdelimiters + +\startxmlsetups mml:list + \begingroup + \ifconditional\mmllistdelimiters\left [\fi + \begingroup + \settrue\mmllistdelimiters + \xmlconcat{#1}{/!mml:list}{\MMLseparator,} + \endgroup + \ifconditional\mmllistdelimiters\right]\fi + \endgroup +\stopxmlsetups + +\startxmlsetups mml:union \mmlsecond{#1} \cup \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:intersect \mmlsecond{#1} \cap \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:in \mmlsecond{#1} \in \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:notin \mmlsecond{#1} {\not\in} \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:subset \mmlsecond{#1} \subset \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:prsubset \mmlsecond{#1} \subseteq \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:notsubset \mmlsecond{#1} {\not\subset} \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:notprsubset \mmlsecond{#1} {\not\subseteq} \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:setdiff \mmlsecond{#1} \setminus \mmlthird{#1} \stopxmlsetups + +\startxmlsetups mml:card + \left\vert \xmlall{#1}{/!mml:card} \right\vert +\stopxmlsetups + +\startxmlsetups mml:cartesianproduct + \xmlconcat{#1}{/!mml:cartesianproduct}{\times} +\stopxmlsetups + +% sequences and series + +\setupMMLappearance[sum] [\c!location=\v!top] +\setupMMLappearance[product][\c!location=\v!top] + +\mapXMLvalue {mml:sumprod} {sum} {\sum} +\mapXMLvalue {mml:sumprod} {product} {\prod} + +\startxmlsetups mml:sum \edef\mmlsumprodname{sum} \xmlsetup{#1}{mml:sumprod} \stopxmlsetups +\startxmlsetups mml:product \edef\mmlsumprodname{product} \xmlsetup{#1}{mml:sumprod} \stopxmlsetups + +\def\mmlstackedsubscripts#1% + {\vbox + {\baselineskip\zeropoint % hack, taco vragen + \halign{$\scriptstyle\hss##\hss$\cr#1\crcr}}} + +% unfinished + +\startxmlsetups mml:sumprod + \begingroup + \xmldoifelse {#1} {/(mml:condition\string|mml:bvar\string|mml:lowlimit)} { + \def\mmlsumprodlower{ + _{ + \xmldoifelse {#1} {/mml:condition} { + \mmlstackedsubscripts{\xmlconcat{#1}{/mml:condition}{\crcr}} + } { + \xmldoif {#1} {/mml:bvar} { + \xmlfirst{#1}{/mml:bvar} + \xmldoif{#1}{/mml:lowlimit}{=} + } + \xmlfirst{#1}{/mml:lowlimit} + } + } + } + } { + \let\mmlsumprodlower\empty + } + \xmldoifelse {#1} {/mml:uplimit} { + \def\mmlsumprodupper{^{\xmlfirst{#1}{/mml:uplimit}}} + } { + \let\mmlsumprodupper\empty + } + \xmldoif {#1} {/mml:interval} { % open math converter gives this + \edef\mmlintervalfrom{\xmlindex{#1}{/mml:interval}{1}} + \edef\mmlintervalto {\xmlindex{#1}{/mml:interval}{2}} + \ifx \mmlintervalfrom \empty \else + \def\mmlsumprodlower{_{\xmldoif{#1}{/mml:bvar}{\xmlfirst{#1}{/mml:bvar}{=}}\mmlintervalfrom}} + \fi + \ifx \mmlintervalto \empty \else + \def\mmlsumprodupper{^{\mmlintervalto}} + \fi + } + \MMLcreset + \XMLval{mml:sumprod}{\mmlsumprodname}{}\doMMLlimits\mmlsumprodname\mmlsumprodupper\mmlsumprodlower + \MMLcreset + \xmldoifelse {#1} {/mml:lambda/mml:apply} { + \xmlfirst{#1}{/mml:lambda/mml:apply}% a bit of open math conversion mess + } { + \xmlfirst{#1}{/(mml:apply\string|mml:lambda\string|mml:ci)}% + } + \endgroup +\stopxmlsetups + +\setupMMLappearance[limit][\c!location=\v!top] + +\startxmlsetups mml:limit + \MMLcreset \lim + \doMMLlimits {limit}_{ + \MMLcreset + \xmldoifelse {#1} {/mml:condition} { + \xmlfirst{#1}{/mml:condition} + } { + \xmldoif {#1} {/mml:bvar} { + \xmlfirst{#1}{/mml:bvar}\rightarrow + } + \xmlfirst{#1}{/mml:lowlimit} + } + } + \begingroup + % a bit of open math conversion mess, lambda needed for openmath, ok? + \MMLcreset + \xmlfirst{#1}{/mml:lambda/mml:apply} + \xmlfirst{#1}{/(mml:apply\string|mml:lambda)} + \endgroup +\stopxmlsetups + +% consider a faster index + +\startxmlsetups mml:tendsto + \MMLcreset \mmlsecond{#1} + \XMLval {mml:tendsto:type} {\xmlattdef{#1}{type}{default}} {\rightarrow} + \MMLcreset \mmlthird{#1} +\stopxmlsetups + +\mapXMLvalue {mml:tendsto:type} {above} {\downarrow} +\mapXMLvalue {mml:tendsto:type} {below} {\uparrow} +\mapXMLvalue {mml:tendsto:type} {default} {\rightarrow} + +% elementary classical functions + +\setupMMLappearance[log][\c!location=\v!right] + +\startxmlsetups mml:exp +% {\mr e}^{\xmlfirst{#1}{/mml:apply\string|mml:reln\string|mml:ci\string|mml:cn}} + {\mr e}^{\xmlfirst{#1}{/!mml:exp}} +\stopxmlsetups + +\startxmlsetups mml:log + \xmldoifelse {#1} {/mml:logbase} { + \doifelse \MMLloglocation \v!left { + \mathop { + {}^{\xmlfirst{#1}{/mml:logbase}}\negthinspace\mathopnolimits{log} + } + } { + \mathopnolimits{log}_{\xmlfirst{#1}{/mml:logbase}} + } + } { + \mathopnolimits{log} + } + \MMLcreset + \xmlsetup{#1}{mml:function} +\stopxmlsetups + +\startxmlsetups mml:ln + \mathopnolimits{ln} + \xmlsetup{#1}{mml:function} +\stopxmlsetups + +% statistics + +\startxmlsetups mml:mean \overline {\mmlsecond{#1}} \stopxmlsetups +\startxmlsetups mml:sdev \sigma \left(\MMLcreset\mmlsecond{#1}\right) \stopxmlsetups +\startxmlsetups mml:variance \sigma \left(\MMLcreset\mmlsecond{#1}\right)^2 \stopxmlsetups +\startxmlsetups mml:median \mathopnolimits{median}\left(\MMLcreset\mmlsecond{#1}\right) \stopxmlsetups +\startxmlsetups mml:mode \mathopnolimits{mode} \left(\MMLcreset\mmlsecond{#1}\right) \stopxmlsetups + +% moments + +\startxmlsetups mml:moment + \left\langle + \xmlfirst{#1}{/(mml:apply\string|mml:reln\string|mml:ci\string|mml:cn)}^{\xmlfirst{#1}{/mml:degree}} + \right\rangle + \xmldoif {#1} {mml:momentabout} { + _{\xmlfirst{#1}{mml:momentabout}} + } +\stopxmlsetups + +% linear algebra + +\setupMMLappearance [vector] [\c!direction=\v!horizontal,\c!separator={,}] + +\startxmlsetups mml:vector + \begingroup + \ifnum\xmlcount{#1}{/*}>\plusone + \doifelse\MMLvectordirection\v!horizontal { + \left(\xmlconcat{#1}{/*}{\MMLseparator\MMLvectorseparator}\right) + } { + \MMLcreset\left(\matrix{\xmlconcat{#1}{/*}{\MMLseparator\MMLvectorseparator}}\right) + } + \else + \overrightarrow{\charhtstrut\mmlfirst{#1}} + \fi + \endgroup +\stopxmlsetups + +\settrue\MMCdelmatrix % ( ) when true + +\startxmlsetups mml:matrix + \begingroup + \MMLcreset + \ifconditional\MMCdelmatrix + \left(\matrix{\xmlcommand{#1}{/mml:matrixrow}{mml:matrixrow:do}}\right) + \else + \settrue\MMCdelmatrix + \matrix{\xmlcommand{#1}{/mml:matrixrow}{mml:matrixrow:do}} + \fi + \endgroup +\stopxmlsetups + +\startxmlsetups mml:matrixrow + \begingroup + \MMLcreset + \left(\xmlsetup{#1}{mml:matrixrow:do}\right) + \endgroup +\stopxmlsetups + +\startxmlsetups mml:matrixrow:do + \xmlconcat{#1}{/*}{&}\crcr +\stopxmlsetups + +\startxmlsetups mml:determinant + \begingroup + \setfalse\MMCdelmatrix + \left|\mmlsecond{#1}\right| + \endgroup +\stopxmlsetups + +\startxmlsetups mml:transpose + \mmlsecond{#1}^{\mathopnolimits{T}} +\stopxmlsetups + +\startxmlsetups mml:selector + \MMLmathinner{\mmlsecond{#1}_{\MMLcreset\xmlconcatrange{#1}{/*}{3}{}{\MMLseparator,}}} +\stopxmlsetups + +\startxmlsetups mml:vectorproduct \mmlsecond{#1}\times \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:scalarproduct \mmlsecond{#1}\cdot \mmlthird{#1} \stopxmlsetups +\startxmlsetups mml:outerproduct \mmlsecond{#1}\otimes\mmlthird{#1} \stopxmlsetups + +% semantic mapping elements + +\startxmlsetups mml:semantics + \xmlfirst{#1}{/(mml:annotation\string|apply)} +\stopxmlsetups + +\usemodule[m][calcmath] + +\startxmlsetups mml:annotation + \xmldoifelse {#1} {[oneof(@encoding,'TeX','tex','TEX','ConTeXt','context','CONTEXT','ctx')]} { + \begingroup + \setcatcodetable\ctxcatcodes + \xmlflush{#1} + \endgroup + } { + \xmldoifelse {#1} {[oneof(@encoding,'calcmath','cm')]} { + \calcmath{\xmlflush{#1}} + } { + % unsupported + } + } +\stopxmlsetups + +\startxmlsetups mml:annotation-xml + % maybe diagnostics +\stopxmlsetups + +% misc + +\startxmlsetups mml:integers \integers \stopxmlsetups +\startxmlsetups mml:reals \reals \stopxmlsetups +\startxmlsetups mml:rationals \rationals \stopxmlsetups +\startxmlsetups mml:naturalnumbers \naturalnumbers \stopxmlsetups +\startxmlsetups mml:complexes \complexes \stopxmlsetups +\startxmlsetups mml:primes \primes \stopxmlsetups +\startxmlsetups mml:exponentiale \mathopnolimits{e} \stopxmlsetups +\startxmlsetups mml:imaginaryi \mathopnolimits{i} \stopxmlsetups +\startxmlsetups mml:notanumber \mathopnolimits{NaN} \stopxmlsetups +\startxmlsetups mml:true \mathopnolimits{true} \stopxmlsetups +\startxmlsetups mml:false \mathopnolimits{false} \stopxmlsetups +\startxmlsetups mml:emptyset \mathopnolimits{\O} \stopxmlsetups +\startxmlsetups mml:pi \pi \stopxmlsetups +\startxmlsetups mml:eulergamma \gamma \stopxmlsetups +\startxmlsetups mml:infinity \infty \stopxmlsetups + +% gonio functions + +\setupMMLappearance[function][\c!reduction=\v!yes] + +% todo: \mfunction which adapts itself when registered as command + +\startxmlsetups mml:sin \mathopnolimits {sin}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:sinh \mathopnolimits{sinh}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:cos \mathopnolimits {cos}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:cosh \mathopnolimits{cosh}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:tan \mathopnolimits {tan}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:tanh \mathopnolimits{tanh}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:cot \mathopnolimits {cot}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:coth \mathopnolimits{coth}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:csc \mathopnolimits {csc}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:csch \mathopnolimits{csch}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:sec \mathopnolimits {sec}\xmlsetup{#1}{mml:function} \stopxmlsetups +\startxmlsetups mml:sech \mathopnolimits{sech}\xmlsetup{#1}{mml:function} \stopxmlsetups + +\startxmlsetups mml:function + \ifconditional\xmlinversefunction^{-1}\fi\setfalse\xmlinversefunction + \xmlsetup{#1}{mml:function:argument} +\stopxmlsetups + +\startxmlsetups mml:function:argument + \doifelse \MMLfunctionreduction \v!yes { + \xmldoifelse {#1} {/mml:apply} { + \xmldoifelse {#1} {/mml:apply/(\MMLcfunctionlist\string|mml:divide)} + \donefalse + \donetrue + } { + \donefalse + } + } { + \donetrue + } + % beware, we still flush from 2 up + \ifdone + \left( + \MMLcreset + \xmlall{#1}{/[position()>1]}% \xmlconcatrange{#1}{/*}{2}{}\empty + \right) + \else + \MMLcreset + \xmlall{#1}{/[position()>1]} + \fi +\stopxmlsetups + +% PRESENTATION MATHML +% +% there are some rough edges that need to be sorted out + +% helpers + +\mapXMLvalue {mml} {normal} {\tf} +\mapXMLvalue {mml} {double-struck} {\bf} +\mapXMLvalue {mml} {italic} {\it} +\mapXMLvalue {mml} {fraktur} {\bf} +\mapXMLvalue {mml} {script} {\tf} +\mapXMLvalue {mml} {bold} {\bf} +\mapXMLvalue {mml} {bold-italic} {\bi} +\mapXMLvalue {mml} {bold-fraktur} {\bf} +\mapXMLvalue {mml} {bold-script} {\bf} +\mapXMLvalue {mml} {sans-serif} {\ss} +\mapXMLvalue {mml} {bold-sans-serif} {\ss\bf} +\mapXMLvalue {mml} {sans-serif-italic} {\ss\it} +\mapXMLvalue {mml} {sans-serif-bold-italic} {\ss\bi} +\mapXMLvalue {mml} {monospace} {\tt} + +\starttexdefinition setmmlmathstyle #1 + \XMLval {mml} {\xmlatt{#1}{mathvariant}} \empty +\stoptexdefinition + +\starttexdefinition applymmlmathcolor #1#2 + \edef\mmlmathcolor{\xmlatt{#1}{mathcolor}} + \ifx \mmlmathcolor \empty + #2 + \else + \color[\mmlmathcolor]{#2} + \fi +\stoptexdefinition + +% todo: textbackgrounds + +\starttexdefinition applymmlmathbackground #1#2 + \edef\mmlmathbackground{\xmlatt{#1}{mathbackground}} + \ifx \mmlmathbackground \empty + #2 + \else + \backgroundline[\mmlmathbackground]{#2} + \fi +\stoptexdefinition + +\starttexdefinition applymmlsometext #1#2 + \applymmlmathbackground {#1} { + \applymmlmathcolor {#1} { + \setmmlmathstyle {#1} + \ignorespaces#2\removeunwantedspaces + } + } +\stoptexdefinition + +% probably bugged: + +\starttexdefinition doMMLfiller #1 + \pushmacro\doMMLfiller + \let\doMMLfiller\gobbleoneargument + \gdef\dodoMMLfiller{% where used + \disablefiller + \mathematics{#1} + } + \hbox { + \def\normalorfiller##1##2{ + \gdef\dodoMMLfiller{\enablefiller#1}% + \let\normalorfiller\gobbletwoarguments + } + \mathematics{#1} + } + \popmacro\doMMLfiller +\stoptexdefinition + +% setups + +\startxmlsetups mml:mi % todo: mathvariant mathsize mathcolor mathbackground + \ctxlua{lxml.mml.mi("#1","*")} +\stopxmlsetups + +\startxmlsetups mml:mn % todo: mathvariant mathsize mathcolor mathbackground + \begingroup + \mr \ctxlua{lxml.mml.mn("#1","*")}% no \hbox, would be ok for . , but spoils rest + \endgroup +\stopxmlsetups + +\startxmlsetups mml:mo + \ctxlua{lxml.mml.mo("#1","*")} +\stopxmlsetups + +\startxmlsetups mml:mfenced % {} around separator is needed for spacing + \def\MMLleft {\left }% weird + \def\MMLright{\right} + \ctxlua{lxml.mml.mfenced("#1","/*")} +\stopxmlsetups + +\startxmlsetups mml:menclose % notation=..... + \edef\mmlmenclosenotation{\xmlattdef{#1}{notation}{longdiv}} + \doifelse \mmlmenclosenotation {longdiv} { + \overline{\left)\xmlflush{#1}\right.} + } { + \doifelse \mmlmenclosenotation {actuarial} { + \overline{\left.\xmlflush{#1}\right|} + } { + \doifelse \mmlmenclosenotation {radical} { + \sqrt{\xmlflush{#1}} + } { + \xmlflush{#1} + } + } + } +\stopxmlsetups + +\mapXMLvalue {mml:mfrac:linethickness} {thin} {.2pt} +\mapXMLvalue {mml:mfrac:linethickness} {medium} {.4pt} +\mapXMLvalue {mml:mfrac:linethickness} {thick} {.8pt} + +\startxmlsetups mml:mfrac % dodo: handle linethickness in lua + unit + \begingroup + \edef\mmlfraclinethickness{\xmlatt{#1}{linethickness}} + \ifx\mmlfraclinethickness\empty + \doifelse{\xmlatt{#1}{bevelled}}{true} { + \xmlindex{#1}{/*}{1} + \mathpunct{\kern-.2ex\left.\middle/\right.\kern-.25ex} + \mmlsecond{#1} + } { + \frac{\mmlfirst{#1}}{\mmlsecond{#1}} + } + \else + \doifXMLvalelse {mml:mfrac:linethickness} \mmlfraclinethickness { + \scratchdimen\XMLval{mml:mfrac:linethickness}\mmlfraclinethickness{.4pt} + } { + \setdimensionwithunit\scratchdimen\mmlfraclinethickness{pt} + } + { + {\mmlfirst{#1}} + \above\scratchdimen + {\mmlsecond{#1}} + } + \fi + \endgroup +\stopxmlsetups + +\startxmlsetups mml:ms + \hbox { + \tf % else encoding problems + \edef\mmllquote{\xmlatt{#1}{lquote}} + \edef\mmlrquote{\xmlatt{#1}{rquote}} + \ifx\mmllquote\empty\symbol[leftquotation]\else\mmllquote\fi + \applymmlsometext{#1}{\xmlflush{#1}} + \ifx\mmlrquote\empty\symbol[rightquotation]\else\mmlrquote\fi + } +\stopxmlsetups + +\startxmlsetups mml:mstyle + \begingroup + \setmmlmathstyle{#1} + \xmlflush{#1} + \endgroup +\stopxmlsetups + +\startxmlsetups mml:mtext + \hbox { + \tf % else encoding problems, we can make mr an option + \applymmlsometext{#1}{\xmlflush{#1}} + } +\stopxmlsetups + +\startxmlsetups mml:merror + \hbox{$\displaystyle\xmlflush{#1}$} +\stopxmlsetups + +\startxmlsetups mml:mphantom + \phantom{\ignorespaces{}\xmlflush{#1}\unskip} % watch spacing {} hack +\stopxmlsetups + +\startxmlsetups mml:mpadded + \xmlflush{#1} +\stopxmlsetups + +% mrow + +% \startxmlsetups mml:mrow +% \begingroup +% \ifcase\xmlcount{#1}{/mml:mo}\relax +% \xmlflush{#1} +% \else % no \let +% \def\MMLleft {\left } +% \def\MMLright{\right} +% \enabledelimiter +% \checkdelimiters{\xmlall{#1}{/mml:mo}} +% \fakeleftdelimiter +% \xmlflush{#1} +% \fakerightdelimiter +% \disabledelimiter +% \fi +% \endgroup +% \stopxmlsetups + +% option: no fenced + +\startxmlsetups mml:mrow + \begingroup + \ifnum\xmlcount{#1}{/mml:mo}=\plustwo + \xmldoifelse {#1} {/mml:mo[position()==1 or position()==\xmlcount{#1}{/*}]} {% we need a {} + \def\MMLleft {\left } + \def\MMLright{\right} + \enabledelimiter + \checkdelimiters{\xmlall{#1}{/mml:mo}} + \fakeleftdelimiter + \xmlflush{#1} + \fakerightdelimiter + \disabledelimiter + } { + \xmlflush{#1} + } + \else + \xmlflush{#1} + \fi + \endgroup +\stopxmlsetups + +\startxmlsetups mml:msqrt + \sqrt{\xmlflush{#1}} +\stopxmlsetups + +\startxmlsetups mml:mroot + \root{\mmlsecond{#1}}\of{\mmlfirst{#1}} +\stopxmlsetups + +\setupMMLappearance[scripts][\c!alternative=\v!a] % {} rond base + +\startxmlsetups mml:msub + \doifelse\MMLscriptsalternative\v!a { + {\mmlfirst{#1}}_{\mmlsecond{#1}} + } { + \mmlfirst{#1} _{\mmlsecond{#1}} + } +\stopxmlsetups + +\startxmlsetups mml:msup + \doifelse\MMLscriptsalternative\v!a { + {\mmlfirst{#1}}^{\mmlsecond{#1}} + } { + \mmlfirst{#1} ^{\mmlsecond{#1}} + } +\stopxmlsetups + +\startxmlsetups mml:msubsup + \doifelse\MMLscriptsalternative\v!a { + {\mmlfirst{#1}}_{\mmlsecond{#1}}^{\mmlthird{#1}} + } { + \mmlfirst{#1} _{\mmlsecond{#1}}^{\mmlthird{#1}} + } +\stopxmlsetups + +\startxmlsetups mml:mover + \mathop { + \edef\mmlovertoken{\xmlraw{#1}{/mml:mo[position()==2]}} + \doifelse{\utfmathclass\mmlovertoken}{accent} { + \utfmathcommand\mmlovertoken{\xmlindex{#1}{/*}{1}} + } { + \vbox { + \m@th\ialign { + \hss##\hss\crcr + \noalign{\kern3\p@}% + \disabledelimiter\doMMLfiller{ + \xmlindex{#1}{/*}{2} + }\crcr + \noalign{\kern3\p@\nointerlineskip}% + \disabledelimiter\doMMLfiller{ + \xmlindex{#1}{/*}{1} + }\crcr + } + } + } + } + \limits +\stopxmlsetups + +\startxmlsetups mml:munder + \mathop { + \vtop { + \m@th\ialign{ + \hss##\hss\crcr + \disabledelimiter\doMMLfiller{\xmlindex{#1}{/*}{1}}\crcr + \noalign{\kern3\p@\nointerlineskip}% + \disabledelimiter\doMMLfiller{\xmlindex{#1}{/*}{2}}\crcr + \noalign{\kern3\p@} + } + } + } + \limits +\stopxmlsetups + +\startxmlsetups mml:munderover + \edef\mmlunderovertoken{\xmlraw{#1}{/mml:mo[position()==1]}} + \utfmathcommanddefault\mmlunderovertoken{xmlindex}{{#1}{/*}{1}} + _{\disablefiller\disabledelimiter\xmlindex{#1}{/*}{2}} + ^{\disablefiller\disabledelimiter\xmlindex{#1}{/*}{3}} +\stopxmlsetups + +% tables (mml:mtable, mml:mtr, mml:mlabledtr, mml:mtd) + +\startxmlsetups mml:mtable % some more attributes need to be supported + \vcenter{\ctxlua{lxml.mml.mtable("#1")}} +\stopxmlsetups + +\startxmlsetups mml:mspace % complete + \begingroup + \!!widtha \xmlattdef{#1}{width} \!!zeropoint % must be string + \!!heighta\xmlattdef{#1}{height}\!!zeropoint + \!!deptha \xmlattdef{#1}{depth} \!!zeropoint + \ifdim\!!heighta=\zeropoint + \ifdim\!!deptha=\zeropoint\else + \hbox{\vrule\!!depth\!!deptha\!!height\zeropoint\!!width\zeropoint}% + \fi + \else + \hbox{\vrule\!!depth\zeropoint\!!height\!!heighta\!!width\zeropoint}% + \fi + \ifdim\!!widtha=\zeropoint\else + \hskip\!!widtha + \fi + \endgroup +\stopxmlsetups + +\startxmlsetups mml:mglyph % probably never ok + \begingroup + \edef\mmlglyphfontfamily{\xmlatt {#1}{fontfamily}} + \edef\mmlglyphalt {\xmlattdef{#1}{alt}{unknown}} + \edef\mmlglyphindex {\xmlatt {#1}{index}} + \ifx \mmlglyphfontfamily \empty + \hbox{\tttf[no fontfamily specified for \mmlglyphalt]} + \else\ifx\mmlglyphindex\empty + \hbox{\tttf[no index specified for \mmlglyphalt]} + \else + \getglyph\mmlglyphfontfamily\mmlglyphindex + \fi\fi + \endgroup +\stopxmlsetups + +\startxmlsetups mml:maligngroup \stopxmlsetups % will be done when needed +\startxmlsetups mml:malignmark \stopxmlsetups % will be done when needed + +\startxmlsetups mml:none \stopxmlsetups +\startxmlsetups mml:mprescripts \stopxmlsetups + +\startxmlsetups mml:mmultiscripts + \ctxlua{lxml.mml.mmultiscripts("#1")} +\stopxmlsetups + +\stopmodule + +\protect \endinput + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% TODO: + +\startmoduletestsection + +\def\xflushXMLstackwith#1#2#3#4% num bgroup egroup whatever + {\dostepwiserecurse{#1}\XMLstacklevel\plusone + {#2\relax + \ifnum\recurselevel>#1\relax#4\fi + \getXMLstackdata\recurselevel + #3}} + +\def\xflushXMLstackfrom#1#2#3% + {\dostepwiserecurse{#1}\XMLstacklevel\plusone + {#2\getXMLstackdata\recurselevel#3}} + +% <apply><divide/> +% <apply><minus/> +% <apply><minus/><ci>b</ci></apply> +% <apply><minus/><ci>b</ci></apply> +% <apply><root/> <ci>a</ci></apply> +% </apply> +% <apply><minus/> +% <apply><minus/><ci>b</ci><ci>b</ci></apply> +% <apply><minus/><ci>b</ci></apply> +% <apply><root/> <ci>a</ci></apply> +% </apply> +% </apply> + +\startxmlsetups mml:minus + \doif \MMLsignreduction \v!yes { + \setMMLcreset{fn,\MMLcfunctionlist} + } + \ifcase\XMLstacklevel + \or + % self + \or + -\getXMLstackdata\plustwo + \else + \dostepwiserecurse \plustwo \XMLstacklevel \plusone { + \begingroup + \doifelse {\getXMLstackname\recurselevel} {apply} { + \ifnum\recurselevel=\plustwo + \begingroup + \dodoifelseMMCfunctioninapply \recurselevel {minus} { + \ifnum\XMLstacklevel>\plustwo + \endgroup + \else + \endgroup + \MMLcreset + \fi + } { + \endgroup + } + \else + \doifelseMMCfunctioninapply \recurselevel {\MMLcfunctionlist,\MMLcconstructlist} { + \MMLcreset + } { + } + \fi + } { + } + \getXMLstackdata\recurselevel + \ifnum\recurselevel<\XMLstacklevel\relax + - + \fi + \endgroup + } + \fi +\stopxmlsetups + +\stopmoduletestsection |