/************************************************************* * * MathJax/extensions/MathML/mml3.js * * This file implements an XSLT transform to convert some MathML 3 * constructs to constructs MathJax can render. The transform is * performed in a pre-filter for the MathML input jax, so that the * Show Math As menu will still show the Original MathML correctly, * but the transformed MathML can be obtained from the regular MathML menu. * * To load it, include * * MathML: { * extensions: ["mml3.js"] * } * * in your configuration. * * A portion of this file is taken from mml3mj.xsl which is * Copyright (c) David Carlisle 2008-2015 * and is used by permission of David Carlisle, who has agreed to allow us * to release it under the Apache2 license (see below). That portion is * indicated via comments. * * The remainder falls under the copyright that follows. * --------------------------------------------------------------------- * * Copyright (c) 2013-2017 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ MathJax.Extension["MathML/mml3"] = { version: "2.7.2" }; MathJax.Hub.Register.StartupHook("MathML Jax Ready",function () { var MATHML = MathJax.InputJax.MathML, PARSE = MATHML.Parse.prototype; MATHML.prefilterHooks.Add(function (data) { if (!MATHML.mml3XSLT) return; // Parse the <math> but use MATHML.Parse's preProcessMath to apply the normal preprocessing. if (!MATHML.ParseXML) {MATHML.ParseXML = MATHML.createParser()} var doc = MATHML.ParseXML(PARSE.preProcessMath(data.math)); // Now transform the <math> using the mml3 stylesheet. var newdoc = MATHML.mml3XSLT.transformToDocument(doc); if ((typeof newdoc) === "string") { // Internet Explorer returns a string, so just use it. data.math = newdoc; } else if (window.XMLSerializer) { // Serialize the <math> again. We could directly provide the DOM content // but other prefilterHooks may assume data.math is still a string. var serializer = new XMLSerializer(); data.math = serializer.serializeToString(newdoc.documentElement, doc); } }); /* * The following is derived from mml3mj.xsl * (https://github.com/davidcarlisle/web-xslt/blob/master/ctop/mml3mj.xsl) * which is Copyright (c) David Carlisle 2008-2015. * It is used by permission of David Carlisle, who has agreed to allow it to * be released under the Apache License, Version 2.0. */ var BROWSER = MathJax.Hub.Browser; var exslt = ''; if (BROWSER.isEdge || BROWSER.isMSIE) { exslt = 'urn:schemas-microsoft-com:xslt' } else { exslt = 'http://exslt.org/common'; } var mml3Stylesheet = '<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform" ' + ' xmlns:m="http://www.w3.org/1998/Math/MathML"' + ' xmlns:c="' + exslt + '"' + ' exclude-result-prefixes="m c">' + '<xsl:output indent="yes" omit-xml-declaration="yes"/>' + '<xsl:output indent="yes" omit-xml-declaration="yes"/><xsl:template match="*">' + ' <xsl:copy>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:apply-templates/>' + ' </xsl:copy>' + '</xsl:template><xsl:template match="m:*[@dir=\'rtl\']" priority="10">' + ' <xsl:apply-templates mode="rtl" select="."/>' + '</xsl:template><xsl:template match="@*" mode="rtl">' + ' <xsl:copy-of select="."/>' + ' <xsl:attribute name="dir">ltr</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="*" mode="rtl">' + ' <xsl:copy>' + ' <xsl:apply-templates select="@*" mode="rtl"/>' + ' <xsl:for-each select="node()">' + ' <xsl:sort data-type="number" order="descending" select="position()"/>' + ' <xsl:text> </xsl:text>' + ' <xsl:apply-templates mode="rtl" select="."/>' + ' </xsl:for-each>' + ' </xsl:copy>' + '</xsl:template><xsl:template match="@open" mode="rtl">' + ' <xsl:attribute name="close"><xsl:value-of select="."/></xsl:attribute>' + '</xsl:template><xsl:template match="@open[.=\'(\']" mode="rtl">' + ' <xsl:attribute name="close">)</xsl:attribute>' + '</xsl:template><xsl:template match="@open[.=\')\']" mode="rtl">' + ' <xsl:attribute name="close">(</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@open[.=\'[\']" mode="rtl">' + ' <xsl:attribute name="close">]</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@open[.=\']\']" mode="rtl">' + ' <xsl:attribute name="close">[</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@open[.=\'{\']" mode="rtl">' + ' <xsl:attribute name="close">}</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@open[.=\'}\']" mode="rtl">' + ' <xsl:attribute name="close">{</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@close" mode="rtl">' + ' <xsl:attribute name="open"><xsl:value-of select="."/></xsl:attribute>' + '</xsl:template><xsl:template match="@close[.=\'(\']" mode="rtl">' + ' <xsl:attribute name="open">)</xsl:attribute>' + '</xsl:template><xsl:template match="@close[.=\')\']" mode="rtl">' + ' <xsl:attribute name="open">(</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@close[.=\'[\']" mode="rtl">' + ' <xsl:attribute name="open">]</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@close[.=\']\']" mode="rtl">' + ' <xsl:attribute name="open">[</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@close[.=\'{\']" mode="rtl">' + ' <xsl:attribute name="open">}</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="@close[.=\'}\']" mode="rtl">' + ' <xsl:attribute name="open">{</xsl:attribute>' + '</xsl:template><xsl:template match="m:mfrac[@bevelled=\'true\']" mode="rtl">' + ' <m:mrow>' + ' <m:msub><m:mi></m:mi><xsl:apply-templates select="*[2]" mode="rtl"/></m:msub>' + ' <m:mo>\</m:mo>' + ' <m:msup><m:mi></m:mi><xsl:apply-templates select="*[1]" mode="rtl"/></m:msup>' + ' </m:mrow>' + '</xsl:template><xsl:template match="m:mfrac" mode="rtl">' + ' <xsl:copy>' + ' <xsl:apply-templates mode="rtl" select="@*|*"/>' + ' </xsl:copy>' + '</xsl:template><xsl:template match="m:mroot" mode="rtl">' + ' <m:msup>' + ' <m:menclose notation="top right">' + ' <xsl:apply-templates mode="rtl" select="@*|*[1]"/>' + ' </m:menclose>' + ' <xsl:apply-templates mode="rtl" select="*[2]"/>' + ' </m:msup>' + '</xsl:template>' + '<xsl:template match="m:msqrt" mode="rtl">' + ' <m:menclose notation="top right">' + ' <xsl:apply-templates mode="rtl" select="@*|*[1]"/>' + ' </m:menclose>' + '</xsl:template><xsl:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2">' + ' <xsl:copy>' + ' <xsl:apply-templates select="@*" mode="rtl"/>' + ' <xsl:apply-templates mode="rtl">' + ' </xsl:apply-templates>' + ' </xsl:copy>' + '</xsl:template>' + '<xsl:template match="m:msup" mode="rtl" priority="2">' + ' <m:mmultiscripts>' + ' <xsl:apply-templates select="*[1]" mode="rtl"/>' + ' <m:mprescripts/>' + ' <m:none/>' + ' <xsl:apply-templates select="*[2]" mode="rtl"/>' + ' </m:mmultiscripts>' + '</xsl:template>' + '<xsl:template match="m:msub" mode="rtl" priority="2">' + ' <m:mmultiscripts>' + ' <xsl:apply-templates select="*[1]" mode="rtl"/>' + ' <m:mprescripts/>' + ' <xsl:apply-templates select="*[2]" mode="rtl"/>' + ' <m:none/>' + ' </m:mmultiscripts>' + '</xsl:template>' + '<xsl:template match="m:msubsup" mode="rtl" priority="2">' + ' <m:mmultiscripts>' + ' <xsl:apply-templates select="*[1]" mode="rtl"/>' + ' <m:mprescripts/>' + ' <xsl:apply-templates select="*[2]" mode="rtl"/>' + ' <xsl:apply-templates select="*[3]" mode="rtl"/>' + ' </m:mmultiscripts>' + '</xsl:template>' + '<xsl:template match="m:mmultiscripts" mode="rtl" priority="2">' + ' <m:mmultiscripts>' + ' <xsl:apply-templates select="*[1]" mode="rtl"/>' + ' <xsl:for-each select="m:mprescripts/following-sibling::*[position() mod 2 = 1]">' + ' <xsl:sort data-type="number" order="descending" select="position()"/>' + ' <xsl:apply-templates select="." mode="rtl"/>' + ' <xsl:apply-templates select="following-sibling::*[1]" mode="rtl"/>' + ' </xsl:for-each>' + ' <m:mprescripts/>' + ' <xsl:for-each select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]">' + ' <xsl:sort data-type="number" order="descending" select="position()"/>' + ' <xsl:apply-templates select="." mode="rtl"/>' + ' <xsl:apply-templates select="following-sibling::*[1]" mode="rtl"/>' + ' </xsl:for-each>' + ' </m:mmultiscripts>' + '</xsl:template>' + '<xsl:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3">' + ' <m:mmultiscripts>' + ' <xsl:apply-templates select="*[1]" mode="rtl"/>' + ' <m:mprescripts/>' + ' <xsl:for-each select="*[position() mod 2 = 0]">' + ' <xsl:sort data-type="number" order="descending" select="position()"/>' + ' <xsl:apply-templates select="." mode="rtl"/>' + ' <xsl:apply-templates select="following-sibling::*[1]" mode="rtl"/>' + ' </xsl:for-each>' + ' </m:mmultiscripts>' + '</xsl:template>' + '<xsl:template match="text()[.=\'(\']" mode="rtl">)</xsl:template>' + '<xsl:template match="text()[.=\')\']" mode="rtl">(</xsl:template>' + '<xsl:template match="text()[.=\'{\']" mode="rtl">}</xsl:template>' + '<xsl:template match="text()[.=\'}\']" mode="rtl">{</xsl:template>' + '<xsl:template match="text()[.=\'<\']" mode="rtl">></xsl:template>' + '<xsl:template match="text()[.=\'>\']" mode="rtl"><</xsl:template>' + '<xsl:template match="text()[.=\'∈\']" mode="rtl">∋</xsl:template>' + '<xsl:template match="text()[.=\'∋\']" mode="rtl">∈</xsl:template>' + '<xsl:template match="@notation[.=\'radical\']" mode="rtl">' + ' <xsl:attribute name="notation">top right</xsl:attribute>' + '</xsl:template>' + '<xsl:template match="m:mlongdiv|m:mstack" mode="rtl">' + ' <m:mrow dir="ltr">' + ' <xsl:apply-templates select="."/>' + ' </m:mrow>' + '</xsl:template>' + '<xsl:template match="m:mstack" priority="11">' + ' <xsl:variable name="m">' + ' <m:mtable columnspacing="0em">' + ' <xsl:copy-of select="@align"/>' + ' <xsl:variable name="t">' + ' <xsl:apply-templates select="*" mode="mstack1">' + ' <xsl:with-param name="p" select="0"/>' + ' </xsl:apply-templates>' + ' </xsl:variable>' + ' <xsl:variable name="maxl">' + ' <xsl:for-each select="c:node-set($t)/*/@l">' + ' <xsl:sort data-type="number" order="descending"/>' + ' <xsl:if test="position()=1">' + ' <xsl:value-of select="."/>' + ' </xsl:if>' + ' </xsl:for-each>' + ' </xsl:variable>' + ' <xsl:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']">' + '<xsl:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/>' + ' <xsl:text> </xsl:text>' + ' <m:mtr>' + ' <xsl:copy-of select="@class[.=\'msline\']"/>' + ' <xsl:variable name="offset" select="$maxl - @l"/>' + ' <xsl:choose>' + ' <xsl:when test="@class=\'msline\' and @l=\'*\'">' + ' <xsl:variable name="msl" select="*[1]"/>' + ' <xsl:for-each select="(//node())[position()<=$maxl]">' + ' <xsl:copy-of select="$msl"/>' + ' </xsl:for-each>' + ' </xsl:when>' + ' <xsl:when test="$c">' + ' <xsl:variable name="ldiff" select="$c/@l - @l"/>' + ' <xsl:variable name="loffset" select="$maxl - $c/@l"/>' + ' <xsl:for-each select="(//*)[position()<= $offset]">' + ' <xsl:variable name="pn" select="position()"/>' + ' <xsl:variable name="cy" select="$c/*[position()=$pn - $loffset]"/>' + ' <m:mtd>' + ' <xsl:if test="$cy/*">' + ' <m:mover><m:mphantom><m:mn>0</m:mn></m:mphantom><m:mpadded width="0em" lspace="-0.5width">' + ' <xsl:copy-of select="$cy/*"/></m:mpadded></m:mover>' + ' </xsl:if>' + ' </m:mtd>' + ' </xsl:for-each>' + ' <xsl:for-each select="*">' + ' <xsl:variable name="pn" select="position()"/>' + ' <xsl:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/>' + ' <xsl:copy>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:variable name="b">' + ' <xsl:choose>' + ' <xsl:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><xsl:copy-of select="*"/></xsl:when>' + ' <xsl:otherwise>' + ' <m:menclose notation="{$cy/@crossout}"><xsl:copy-of select="*"/></m:menclose>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <xsl:choose>' + ' <xsl:when test="$cy/m:none or not($cy/*)"><xsl:copy-of select="$b"/></xsl:when>' + ' <xsl:when test="not(string($cy/@location)) or $cy/@location=\'n\'">' + ' <m:mover>' + ' <xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width">' + ' <xsl:copy-of select="$cy/*"/>' + ' </m:mpadded>' + ' </m:mover>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'nw\'">' + ' <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:none/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:mmultiscripts>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'s\'">' + ' <m:munder><xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width"><xsl:copy-of select="$cy/*"/></m:mpadded></m:munder>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'sw\'">' + ' <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded><m:none/></m:mmultiscripts>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'ne\'">' + ' <m:msup><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'se\'">' + ' <m:msub><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msub>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'w\'">' + ' <m:msup><m:mrow/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>' + ' <xsl:copy-of select="$b"/>' + ' </xsl:when>' + ' <xsl:when test="$cy/@location=\'e\'">' + ' <xsl:copy-of select="$b"/>' + ' <m:msup><m:mrow/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:copy-of select="$b"/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:copy>' + ' </xsl:for-each>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:for-each select="(//*)[position()<= $offset]"><m:mtd/></xsl:for-each>' + ' <xsl:copy-of select="*"/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </m:mtr>' + ' </xsl:for-each>' + ' </m:mtable>' + '</xsl:variable>' + '<xsl:apply-templates mode="ml" select="c:node-set($m)"/>' + '</xsl:template>' + '<xsl:template match="*" mode="ml">' + ' <xsl:copy>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:apply-templates mode="ml"/>' + ' </xsl:copy>' + '</xsl:template>' + '<xsl:template mode="ml" match="m:mtr[following-sibling::*[1][@class=\'msline\']]">' + ' <m:mtr>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:variable name="m" select="following-sibling::*[1]/m:mtd"/>' + ' <xsl:for-each select="m:mtd">' + ' <xsl:variable name="p" select="position()"/>' + ' <m:mtd>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:choose>' + ' <xsl:when test="$m[$p]/m:mpadded">' + ' <m:menclose notation="bottom">' + ' <m:mpadded depth=".1em" height="1em" width=".4em">' + ' <xsl:copy-of select="*"/>' + ' </m:mpadded>' + ' </m:menclose>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:copy-of select="*"/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </m:mtd>' + ' </xsl:for-each>' + ' </m:mtr>' + '</xsl:template><xsl:template mode="ml" match="m:mtr[not(preceding-sibling::*)][@class=\'msline\']" priority="3">' + ' <m:mtr>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:for-each select="m:mtd">' + ' <m:mtd>' + ' <xsl:copy-of select="@*"/>' + ' <xsl:if test="m:mpadded">' + ' <m:menclose notation="bottom">' + ' <m:mpadded depth=".1em" height="1em" width=".4em">' + ' <m:mspace width=".2em"/>' + ' </m:mpadded>' + ' </m:menclose>' + ' </xsl:if>' + ' </m:mtd>' + ' </xsl:for-each>' + ' </m:mtr>' + '</xsl:template><xsl:template mode="ml" match="m:mtr[@class=\'msline\']" priority="2"/>' + '<xsl:template mode="mstack1" match="*">' + ' <xsl:param name="p"/>' + ' <xsl:param name="maxl" select="0"/>' + ' <m:mtr l="{1 + $p}">' + ' <xsl:if test="ancestor::mstack[1]/@stackalign=\'left\'">' + ' <xsl:attribute name="l"><xsl:value-of select="$p"/></xsl:attribute>' + ' </xsl:if>' + ' <m:mtd><xsl:apply-templates select="."/></m:mtd>' + ' </m:mtr>' + '</xsl:template>' + '<xsl:template mode="mstack1" match="m:msrow">' + ' <xsl:param name="p"/>' + ' <xsl:param name="maxl" select="0"/>' + ' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' + ' <xsl:variable name="align">' + ' <xsl:choose>' + ' <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>' + ' <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <xsl:variable name="row">' + ' <xsl:apply-templates mode="mstack1" select="*">' + ' <xsl:with-param name="p" select="0"/>' + ' </xsl:apply-templates>' + ' </xsl:variable>' + ' <xsl:text> </xsl:text>' + ' <xsl:variable name="l1">' + ' <xsl:choose>' + ' <xsl:when test="$align=\'decimalpoint\' and m:mn">' + ' <xsl:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]">' + ' <xsl:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/>' + ' </xsl:for-each>' + ' </xsl:when>' + ' <xsl:when test="$align=\'right\' or $align=\'decimalpoint\'">' + ' <xsl:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:value-of select="0"/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <m:mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}">' + ' <xsl:copy-of select="c:node-set($row)/m:mtr/*"/>' + ' </m:mtr>' + '</xsl:template><xsl:template mode="mstack1" match="m:mn">' + ' <xsl:param name="p"/>' + ' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' + ' <xsl:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/>' + ' <xsl:variable name="align">' + ' <xsl:choose>' + ' <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>' + ' <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <xsl:variable name="dp">' + ' <xsl:choose>' + ' <xsl:when test="string($dp1)=\'\'">.</xsl:when>' + ' <xsl:otherwise><xsl:value-of select="$dp1"/></xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <m:mtr l="$p">' + ' <xsl:variable name="mn" select="normalize-space(.)"/>' + ' <xsl:variable name="len" select="string-length($mn)"/>' + ' <xsl:choose>' + ' <xsl:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))">' + ' <xsl:attribute name="l"><xsl:value-of select="$p + $len"/></xsl:attribute>' + ' </xsl:when>' + ' <xsl:when test="$align=\'center\'">' + ' <xsl:attribute name="l"><xsl:value-of select="round(($p + $len) div 2)"/></xsl:attribute>' + ' </xsl:when>' + ' <xsl:when test="$align=\'decimalpoint\'">' + ' <xsl:attribute name="l"><xsl:value-of select="$p + string-length(substring-before($mn,$dp))"/></xsl:attribute>' + ' </xsl:when>' + ' </xsl:choose> <xsl:for-each select="(//node())[position() <=$len]">' + ' <xsl:variable name="pos" select="position()"/>' + ' <m:mtd><m:mn><xsl:value-of select="substring($mn,$pos,1)"/></m:mn></m:mtd>' + ' </xsl:for-each>' + ' </m:mtr>' + '</xsl:template>' + '<xsl:template match="m:msgroup" mode="mstack1">' + ' <xsl:param name="p"/>' + ' <xsl:variable name="s" select="number(sum(@shift))"/>' + ' <xsl:variable name="thisp" select="number(sum(@position))"/>' + ' <xsl:for-each select="*">' + ' <xsl:apply-templates mode="mstack1" select=".">' + ' <xsl:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/>' + ' </xsl:apply-templates>' + ' </xsl:for-each>' + '</xsl:template>' + '<xsl:template match="m:msline" mode="mstack1">' + ' <xsl:param name="p"/>' + ' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' + ' <xsl:variable name="align">' + ' <xsl:choose>' + ' <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>' + ' <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <m:mtr class="msline">' + ' <xsl:attribute name="l">' + ' <xsl:choose>' + ' <xsl:when test="not(string(@length)) or @length=0">*</xsl:when>' + ' <xsl:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><xsl:value-of select="$p+ @length"/></xsl:when>' + ' <xsl:otherwise><xsl:value-of select="$p"/></xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:attribute>' + ' <xsl:variable name="w">' + ' <xsl:choose>' + ' <xsl:when test="@mslinethickness=\'thin\'">0.1em</xsl:when>' + ' <xsl:when test="@mslinethickness=\'medium\'">0.15em</xsl:when>' + ' <xsl:when test="@mslinethickness=\'thick\'">0.2em</xsl:when>' + ' <xsl:when test="@mslinethickness"><xsl:value-of select="@mslinethickness"/></xsl:when>' + ' <xsl:otherwise>0.15em</xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <xsl:choose>' + ' <xsl:when test="not(string(@length)) or @length=0">' + ' <m:mtd class="mslinemax">' + ' <m:mpadded lspace="-0.2em" width="0em" height="0em">' + ' <m:mfrac linethickness="{$w}">' + ' <m:mspace width=".4em"/>' + ' <m:mrow/>' + ' </m:mfrac>' + ' </m:mpadded>' + ' </m:mtd>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:variable name="l" select="@length"/>' + ' <xsl:for-each select="(//node())[position()<=$l]">' + ' <m:mtd class="msline">' + ' <m:mpadded lspace="-0.2em" width="0em" height="0em">' + ' <m:mfrac linethickness="{$w}">' + ' <m:mspace width=".4em"/>' + ' <m:mrow/>' + ' </m:mfrac>' + ' </m:mpadded>' + ' </m:mtd>' + ' </xsl:for-each>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </m:mtr>' + '</xsl:template>' + '<xsl:template match="m:mscarries" mode="mstack1">' + ' <xsl:param name="p"/>' + ' <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/>' + ' <xsl:variable name="l1">' + ' <xsl:choose>' + ' <xsl:when test="string($align1)=\'left\'">0</xsl:when>' + ' <xsl:otherwise><xsl:value-of select="count(*)"/></xsl:otherwise>' + ' </xsl:choose>' + ' </xsl:variable>' + ' <m:mtr class="mscarries" l="{$p + $l1 + sum(@position)}">' + ' <xsl:apply-templates select="*" mode="msc"/>' + ' </m:mtr>' + '</xsl:template><xsl:template match="*" mode="msc">' + ' <m:mtd>' + ' <xsl:copy-of select="../@location|../@crossout"/>' + ' <xsl:choose>' + ' <xsl:when test="../@scriptsizemultiplier">' + ' <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">' + ' <xsl:apply-templates select="."/>' + ' </m:mstyle>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:apply-templates select="."/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </m:mtd>' + '</xsl:template><xsl:template match="m:mscarry" mode="msc">' + ' <m:mtd>' + ' <xsl:copy-of select="@location|@crossout"/>' + ' <xsl:choose>' + ' <xsl:when test="../@scriptsizemultiplier">' + ' <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">' + ' <xsl:apply-templates/>' + ' </m:mstyle>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:apply-templates/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' </m:mtd>' + '</xsl:template>' + '<xsl:template match="m:mlongdiv" priority="11">' + ' <xsl:variable name="ms">' + ' <m:mstack>' + ' <xsl:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/>' + ' <xsl:choose>' + ' <xsl:when test="@longdivstyle=\'left)(right\'">' + ' <m:msrow>' + ' <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>' + ' <m:mo>)</m:mo>' + ' <xsl:copy-of select="*[3]"/>' + ' <m:mo>(</m:mo>' + ' <xsl:copy-of select="*[2]"/>' + ' </m:msrow>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'left/\right\'">' + ' <m:msrow>' + ' <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>' + ' <m:mo>/</m:mo>' + ' <xsl:copy-of select="*[3]"/>' + ' <m:mo>\</m:mo>' + ' <xsl:copy-of select="*[2]"/>' + ' </m:msrow>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\':right=right\'">' + ' <m:msrow>' + ' <xsl:copy-of select="*[3]"/>' + ' <m:mo>:</m:mo>' + ' <xsl:copy-of select="*[1]"/>' + ' <m:mo>=</m:mo>' + ' <xsl:copy-of select="*[2]"/>' + ' </m:msrow>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'stackedrightright\'' + ' or @longdivstyle=\'mediumstackedrightright\'' + ' or @longdivstyle=\'shortstackedrightright\'' + ' or @longdivstyle=\'stackedleftleft\'' + ' ">' + ' <xsl:attribute name="align">top</xsl:attribute>' + ' <xsl:copy-of select="*[3]"/>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'stackedleftlinetop\'">' + ' <xsl:copy-of select="*[2]"/>' + ' <m:msline length="{string-length(*[3])-1}"/>' + ' <m:msrow>' + ' <m:mrow>' + ' <m:menclose notation="bottom right">' + ' <xsl:copy-of select="*[1]"/>' + ' </m:menclose>' + ' </m:mrow>' + ' <xsl:copy-of select="*[3]"/>' + ' </m:msrow>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'righttop\'">' + ' <xsl:copy-of select="*[2]"/>' + ' <m:msline length="{string-length(*[3])}"/>' + ' <m:msrow>' + ' <xsl:copy-of select="*[3]"/>' + ' <m:menclose notation="top left bottom">' + ' <xsl:copy-of select="*[1]"/></m:menclose>' + ' </m:msrow>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:copy-of select="*[2]"/>' + ' <m:msline length="{string-length(*[3])}"/>' + ' <m:msrow>' + ' <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>' + ' <m:mo>)</m:mo>' + ' <xsl:copy-of select="*[3]"/>' + ' </m:msrow>' + ' </xsl:otherwise>' + ' </xsl:choose>' + ' <xsl:copy-of select="*[position()>3]"/>' + ' </m:mstack>' + ' </xsl:variable>' + ' <xsl:choose>' + ' <xsl:when test="@longdivstyle=\'stackedrightright\'">' + ' <m:menclose notation="right">' + ' <xsl:apply-templates select="c:node-set($ms)"/>' + ' </m:menclose>' + ' <m:mtable align="top">' + ' <m:mtr>' + ' <m:menclose notation="bottom">' + ' <xsl:copy-of select="*[1]"/>' + ' </m:menclose>' + ' </m:mtr>' + ' <m:mtr>' + ' <mtd><xsl:copy-of select="*[2]"/></mtd>' + ' </m:mtr>' + ' </m:mtable>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'mediumstackedrightright\'">' + ' <xsl:apply-templates select="c:node-set($ms)"/>' + ' <m:menclose notation="left">' + ' <m:mtable align="top">' + ' <m:mtr>' + ' <m:menclose notation="bottom">' + ' <xsl:copy-of select="*[1]"/>' + ' </m:menclose>' + ' </m:mtr>' + ' <m:mtr>' + ' <mtd><xsl:copy-of select="*[2]"/></mtd>' + ' </m:mtr>' + ' </m:mtable>' + ' </m:menclose>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'shortstackedrightright\'">' + ' <xsl:apply-templates select="c:node-set($ms)"/>' + ' <m:mtable align="top">' + ' <m:mtr>' + ' <m:menclose notation="left bottom">' + ' <xsl:copy-of select="*[1]"/>' + ' </m:menclose>' + ' </m:mtr>' + ' <m:mtr>' + ' <mtd><xsl:copy-of select="*[2]"/></mtd>' + ' </m:mtr>' + ' </m:mtable>' + ' </xsl:when>' + ' <xsl:when test="@longdivstyle=\'stackedleftleft\'">' + ' <m:mtable align="top">' + ' <m:mtr>' + ' <m:menclose notation="bottom">' + ' <xsl:copy-of select="*[1]"/>' + ' </m:menclose>' + ' </m:mtr>' + ' <m:mtr>' + ' <mtd><xsl:copy-of select="*[2]"/></mtd>' + ' </m:mtr>' + ' </m:mtable>' + ' <m:menclose notation="left">' + ' <xsl:apply-templates select="c:node-set($ms)"/>' + ' </m:menclose>' + ' </xsl:when>' + ' <xsl:otherwise>' + ' <xsl:apply-templates select="c:node-set($ms)"/>' + ' </xsl:otherwise>' + ' </xsl:choose>' + '</xsl:template>' + '<xsl:template match="m:menclose[@notation=\'madruwb\']" mode="rtl">' + ' <m:menclose notation="bottom right">' + ' <xsl:apply-templates mode="rtl"/>' + ' </m:menclose>' + '</xsl:template></xsl:stylesheet>'; /* * End of mml3mj.xsl material. */ var mml3; if (window.XSLTProcessor) { // standard method: just use an XSLTProcessor and parse the stylesheet if (!MATHML.ParseXML) {MATHML.ParseXML = MATHML.createParser()} MATHML.mml3XSLT = new XSLTProcessor(); MATHML.mml3XSLT.importStylesheet(MATHML.ParseXML(mml3Stylesheet)); } else if (MathJax.Hub.Browser.isMSIE) { // nonstandard methods for Internet Explorer if (MathJax.Hub.Browser.versionAtLeast("9.0") || (document.documentMode||0) >= 9) { // For Internet Explorer >= 9, use createProcessor mml3 = new ActiveXObject("Msxml2.FreeThreadedDOMDocument"); mml3.loadXML(mml3Stylesheet); var xslt = new ActiveXObject("Msxml2.XSLTemplate"); xslt.stylesheet = mml3; MATHML.mml3XSLT = { mml3: xslt.createProcessor(), transformToDocument: function(doc) { this.mml3.input = doc; this.mml3.transform(); return this.mml3.output; } } } else { // For Internet Explorer <= 8, use transformNode mml3 = MATHML.createMSParser(); mml3.async = false; mml3.loadXML(mml3Stylesheet); MATHML.mml3XSLT = { mml3: mml3, transformToDocument: function(doc) { return doc.documentElement.transformNode(this.mml3); } } } } else { // No XSLT support. Do not change the <math> content. MATHML.mml3XSLT = null; } // Tweak CSS to avoid some browsers rearranging HTML output MathJax.Ajax.Styles({ ".MathJax .mi, .MathJax .mo, .MathJax .mn, .MathJax .mtext": { direction: "ltr", display: "inline-block" }, ".MathJax .ms, .MathJax .mspace, .MathJax .mglyph": { direction: "ltr", display: "inline-block" } }); MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready"); }); MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js");