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Diffstat (limited to 'docs/docbook/xslt/db2latex/mathml/mathml.content.functions.mod.xsl')
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diff --git a/docs/docbook/xslt/db2latex/mathml/mathml.content.functions.mod.xsl b/docs/docbook/xslt/db2latex/mathml/mathml.content.functions.mod.xsl new file mode 100644 index 0000000000..a317fc018b --- /dev/null +++ b/docs/docbook/xslt/db2latex/mathml/mathml.content.functions.mod.xsl @@ -0,0 +1,725 @@ +<?xml version='1.0'?> +<!DOCTYPE xsl:stylesheet +[ + <!ENTITY % mmlalias PUBLIC "MathML alias" "ent/mmlalias.ent"> %mmlalias; + <!ENTITY % mmlextra PUBLIC "MathML extra" "ent/mmlextra.ent"> %mmlextra; +]> +<!--############################################################################# + | $Id: mathml.content.functions.mod.xsl,v 1.1 2003/04/30 21:39:49 ab Exp $ + |- ############################################################################# + | $Author: ab $ + | + | PURPOSE: MathML content markup. + | Note: these elements are not part of the DocBook DTD. I have extended + | the docbook DTD in order to support this tags, so that's why I have these + | templates here. + | + | MathML namespace used -> mml + + ############################################################################## --> + +<xsl:stylesheet version='1.0' + xmlns:xsl="http://www.w3.org/1999/XSL/Transform" + xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML"> + +<xsl:template match="mml:fn"> +</xsl:template> + +<!-- +<xsl:template match="mml:apply/lowlimit"> +<xsl:variable name="first" select="../child::*[1]"/> +</xsl:template> + +<xsl:template match="mml:apply/uplimit"> +<xsl:variable name="first" select="../child::*[1]"/> +</xsl:template> + +<xsl:template match="mml:apply/degree"> +<xsl:variable name="first" select="../child::*[1]"/> +</xsl:template> +--> + + +<!-- conditions --> +<!-- no support for deprecated reln--> +<xsl:template match="mml:condition"> + <xsl:text>{</xsl:text><xsl:apply-templates/><xsl:text>}</xsl:text> +</xsl:template> + + + + + + +<!--UNARY + unary arithmetic exp, factorial, minus, abs, conjugate, arg, real, imaginary + unary logical not + unary functional inverse, ident + unary elementary classical + functions sin, cos, tan, sec, csc, cot, sinh, cosh, tanh, sech, csch, coth, arcsin, + arccos, arctan, arccosh, arccot, arccoth, arccsc, arccsch, arcsec, arcsech, arcsinh, + arctanh, exp, ln, log + unary linear algebra determinant, transpose + unary calculus and vector calculus + divergence, grad, curl, laplacian + unary set-theoretic card +--> + +<!-- BINARY + binary arithmetic quotient, divide, minus, power, rem + binary logical implies, equivalent, approx + binary set operators setdiff + binary linear algebra vectorproduct, scalarproduct, outerproduct +--> + +<!-- N-ARY and OTHER + n-ary statistical mean, sdev, variance, median, mode + n-ary logical and, or, xor + n-ary linear algebra selector + n-ary set operator union, intersect + n-ary functional fn, compose + integral, sum, product operators int, sum, product + differential operator diff, partialdiff + quantifier forall, exists +--> +<!-- Get the first child (operator), and check if its name is a fn , or operator--> +<!-- Is the operator taking qualifiers? --> +<!-- Operators : int, sum, product, root, diff, partialdiff, limit, log, moment, min, max, forall, exists --> +<!-- Qualifiers : lowlimit, uplimit, bvar, degree, logbase, interval, condition --> + + +<!-- apply/apply --> +<xsl:template match="mml:apply[mml:apply]"> <!-- when the function itself is defined by other functions: (F+G)(x) --> + <xsl:choose> + <xsl:when test="count(child::*)>=2"> + <xsl:text>{</xsl:text><xsl:apply-templates select="child::*[position()=1]"/><xsl:text>}</xsl:text> + <xsl:text>{</xsl:text><xsl:apply-templates select="child::*[position()!=1]"/><xsl:text>}</xsl:text> + </xsl:when> + <xsl:otherwise> <!-- apply only contains apply, no operand--> + <xsl:text>{</xsl:text><xsl:apply-templates select="child::*"/><xsl:text>}</xsl:text> + </xsl:otherwise> + </xsl:choose> +</xsl:template> + + +<!-- force function or operator MathML 1.0 deprecated--> +<!-- partial support for func/operators defined using presentation markup--> +<xsl:template match="mml:apply[mml:fn]"> +<mrow> +<xsl:choose> +<xsl:when test="*[position()=1 and self::mml:fn]/mml:mo/mml:mchar/@name='PlusMinus'"> + <!--if operator is infix (we assume this to be the default when we have mchars(for instance PlusMinus); perhaps we should test further the name attribute)--> + <xsl:choose> + <xsl:when test="count(child::*)>=3"> + <mrow> + <xsl:for-each select="child::*[position()!=last() and position()!=1]"> + <xsl:apply-templates select="."/><xsl:copy-of select="preceding-sibling::mml:fn/*"/> + </xsl:for-each> + <xsl:apply-templates select="child::*[position()!=1 and position()=last()]"/> + </mrow> + </xsl:when> + <xsl:when test="count(child::*)=2"> + <mrow><xsl:copy-of select="child::mml:fn[position()=1]/*"/><xsl:apply-templates select="child::*[position()=2]"/></mrow> + </xsl:when> + <xsl:otherwise> <!-- apply only contains fn, no operand--> + <mrow><xsl:apply-templates select="child::mml:fn/*"/></mrow> + </xsl:otherwise> + </xsl:choose> +</xsl:when> +<xsl:otherwise> <!-- if operator is prefix (common case)--> + <xsl:choose> + <xsl:when test="name(mml:fn/*[position()=1])='apply'"> <!-- fn definition is complex, surround with brackets, but only one child--> + <mfenced separators=""><mrow><xsl:apply-templates select="mml:fn/*"/></mrow></mfenced> + </xsl:when> + <xsl:otherwise> + <mi><xsl:apply-templates select="mml:fn/*"/></mi> + </xsl:otherwise> + </xsl:choose> + <xsl:if test="count(*)>1"> <!-- if no operands, don't put empty parentheses--> + <mo><mchar name="ApplyFunction"/></mo> + <mfenced> + <xsl:apply-templates select="*[position()!=1]"/> + </mfenced> + </xsl:if> +</xsl:otherwise> +</xsl:choose> +</mrow> +</xsl:template> + + + + +<!-- quotient --> +<xsl:template match="mml:apply[mml:quotient]"> + <mrow> <!-- the third notation uses UNICODE chars x0230A and x0230B --> + <mo>integer part of</mo> + <mrow> + <xsl:choose> <!-- surround with brackets if operands are composed--> + <xsl:when test="child::*[position()=2] and name()='mml:apply'"> + <mfenced separators=""><xsl:apply-templates select="*[position()=2]"/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + <mo>/</mo> + <xsl:choose> + <xsl:when test="child::*[position()=3] and name()='mml:apply'"> + <mfenced separators=""><xsl:apply-templates select="*[position()=3]"/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=3]"/> + </xsl:otherwise> + </xsl:choose> + </mrow> + </mrow> +</xsl:template> + + +<!-- factorial --> +<xsl:template match="mml:apply[mml:factorial]"> + <xsl:text>{</xsl:text> + <xsl:choose> + <xsl:when test="name(*[position()=2])='mml:apply'"> + <xsl:text>{</xsl:text><xsl:apply-templates select="*[position()=2]"/><xsl:text>}</xsl:text> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + <xsl:text>!(fact)</xsl:text> + <xsl:text>}</xsl:text> +</xsl:template> + + +<!-- divide --> +<xsl:template match="mml:apply[mml:divide]"> + <xsl:text>{ \frac</xsl:text> + <xsl:text>{ </xsl:text> + <xsl:apply-templates select="child::*[position()=2]"/> + <xsl:text>}</xsl:text> + <xsl:text>{ </xsl:text> + <xsl:apply-templates select="child::*[position()=3]"/> + <xsl:text>}</xsl:text> + <xsl:text>}</xsl:text> +</xsl:template> + + +<!-- APPLY CONTAINING MAX --> +<xsl:template match="mml:apply/mml:max"/> +<xsl:template match="mml:apply[mml:max]"> + <xsl:text>{</xsl:text> + <xsl:choose> + <xsl:when test="mml:bvar"> <!-- if there are bvars--> + <xsl:text>\max_{</xsl:text> + <!-- Select every bvar except the last one (position() only counts bvars, not the other siblings)--> + <xsl:for-each select="mml:bvar[position()!=last()]"> + <xsl:apply-templates select="."/><xsl:text>,</xsl:text> + </xsl:for-each> + <xsl:apply-templates select="mml:bvar[position()=last()]"/> + <xsl:text>}</xsl:text> + </xsl:when> + <xsl:otherwise> <!-- No bvars, no underscore... --> + <xsl:text>\max</xsl:text> + </xsl:otherwise> + </xsl:choose> + <xsl:text>\left\{</xsl:text> + <xsl:for-each select="child::*[name()!='mml:condition' and name()!='mml:bvar' and name()!='mml:max' and position()!=last()]"> + <xsl:apply-templates select="."/><xsl:text>,</xsl:text> + <xsl:message>RCAS: MathML mml:apply[mml:min] Applying templates to <xsl:copy-of select="name(.)"/></xsl:message> + </xsl:for-each> + <xsl:apply-templates select="child::*[name()!='mml:condition' and name()!='mml:bvar' and name()!='mml:max' and position()=last()]"/> + <!-- If there is a condition, do not close... --> + <xsl:if test="mml:condition"> + <xsl:text>|</xsl:text><xsl:apply-templates select="mml:condition"/> + </xsl:if> + <xsl:text>\right\}</xsl:text> + <xsl:text>}</xsl:text> +</xsl:template> + + +<!-- APPLY CONTAINING MIN --> +<xsl:template match="mml:apply/mml:min"/> +<xsl:template match="mml:apply[mml:min]"> + <xsl:text>{</xsl:text> + <xsl:choose> + <xsl:when test="mml:bvar"> <!-- if there are bvars--> + <xsl:text>\min_{</xsl:text> + <!-- Select every bvar except the last one (position() only counts bvars, not the other siblings)--> + <xsl:for-each select="mml:bvar[position()!=last()]"> + <xsl:apply-templates select="."/><xsl:text>,</xsl:text> + </xsl:for-each> + <xsl:apply-templates select="mml:bvar[position()=last()]"/> + <xsl:text>}</xsl:text> + </xsl:when> + <xsl:otherwise> <!-- No bvars, no underscore... --> + <xsl:text>\min</xsl:text> + </xsl:otherwise> + </xsl:choose> + <xsl:text>\left\{</xsl:text> + <xsl:for-each select="child::*[name()!='mml:condition' and name()!='mml:bvar' and name()!='mml:min' and position()!=last()]"> + <xsl:message>RCAS: MathML mml:apply[mml:min] Applying templates to <xsl:copy-of select="name(.)"/></xsl:message> + <xsl:apply-templates select="."/> + <xsl:text>,</xsl:text> + </xsl:for-each> + <xsl:apply-templates select="child::*[name()!='mml:condition' and name()!='mml:bvar' and name()!='mml:min' and position()=last()]"/> + <!-- If there is a condition, do not close... --> + <xsl:if test="mml:condition"> + <xsl:text>|</xsl:text><xsl:apply-templates select="mml:condition"/> + </xsl:if> + <xsl:text>\right\}</xsl:text> + <xsl:text>}</xsl:text> +</xsl:template> + + + + + + + + +<!-- APPLY CONTAINING substraction(minus) --> +<!-- unary or binary operator --> +<xsl:template match="mml:apply[mml:minus]"> +<xsl:text>{</xsl:text> +<xsl:choose> <!-- binary --> + <xsl:when test="count(child::*)=3"> + <xsl:apply-templates select="child::*[position()=2]"/> + <xsl:text>-</xsl:text> + <xsl:choose> + <xsl:when test="((name(*[position()=3])='mml:ci' or name(*[position()=3])='mml:cn') and contains(*[position()=3]/text(),'-')) or (name(*[position()=3])='mml:apply')"> + <xsl:text>\left(</xsl:text> <xsl:apply-templates select="*[position()=3]"/><xsl:text>\right)</xsl:text> + <!-- surround negative or complex things with brackets --> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=3]"/> + </xsl:otherwise> + </xsl:choose> + </xsl:when> + <xsl:otherwise> <!-- unary --> + <xsl:text>-</xsl:text> + <xsl:choose> + <xsl:when test= + "((name(*[position()=2])='mml:ci' or name(*[position()=2])='mml:cn') and contains(*[position()=2]/text(),'-')) or (name(*[position()=2])='mml:apply')"> + <xsl:text>\left(</xsl:text> + <xsl:apply-templates select="child::*[position()=last()]"/> + <xsl:text>\right)</xsl:text> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="child::*[position()=last()]"/> + </xsl:otherwise> + </xsl:choose> + </xsl:otherwise> +</xsl:choose> +<xsl:text>}</xsl:text> +</xsl:template> + + +<!-- addition --> +<xsl:template match="mml:apply[mml:plus]"> + <xsl:choose> + <xsl:when test="count(child::*)>=3"> + <mrow> + <xsl:choose> + <xsl:when test="((name(*[position()=2])='mml:ci' or name(*[position()=2])='mml:cn') and contains(*[position()=2]/text(),'-')) or (*[position()=2 and self::mml:apply and child::mml:minus])"> + <mfenced separators=""><xsl:apply-templates select="*[position()=2]"/></mfenced> <!-- surround negative things with brackets --> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + <xsl:for-each select="child::*[position()!=1 and position()!=2]"> + <xsl:choose> + <xsl:when test="((name(.)='mml:ci' or name(.)='mml:cn') and contains(./text(),'-')) or (self::mml:apply and child::mml:minus)"> <!-- surround negative things with brackets --> + <mo>+</mo><mfenced separators=""><xsl:apply-templates select="."/></mfenced> + </xsl:when> + <xsl:otherwise> + <mo>+</mo><xsl:apply-templates select="."/> + </xsl:otherwise> + </xsl:choose> + </xsl:for-each> + </mrow> + </xsl:when> + <xsl:when test="count(child::*)=2"> + <mrow> + <mo>+</mo><xsl:apply-templates select="child::*[position()=2]"/> + </mrow> + </xsl:when> + <xsl:otherwise> + <mo>+</mo> + </xsl:otherwise> + </xsl:choose> +</xsl:template> + +<!-- power --> +<xsl:template match="mml:apply[mml:power]"> + <xsl:text> {</xsl:text> + <xsl:choose> + <xsl:when test="name(*[position()=2])='mml:apply'"> + <xsl:text>\left(</xsl:text> + <xsl:apply-templates select="child::*[position()=2]"/> + <xsl:text>\rigth)</xsl:text> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="child::*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + <xsl:text>}^{</xsl:text> + <xsl:apply-templates select="child::*[position()=3]"/> + <xsl:text>} </xsl:text> +</xsl:template> + +<!-- remainder --> +<xsl:template match="mml:apply[mml:rem]"> + <mrow> + <xsl:choose> <!-- surround with brackets if operands are composed--> + <xsl:when test="name(*[position()=2])='mml:apply'"> + <mfenced separators=""><xsl:apply-templates select="*[position()=2]"/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + <mo>mod</mo> + <xsl:choose> + <xsl:when test="name(*[position()=3])='mml:apply'"> + <mfenced separators=""><xsl:apply-templates select="*[position()=3]"/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=3]"/> + </xsl:otherwise> + </xsl:choose> + </mrow> +</xsl:template> + +<!-- multiplication --> +<xsl:template match="mml:apply[mml:times]"> +<xsl:choose> +<xsl:when test="count(child::*)>=3"> + <mrow> + <xsl:for-each select="child::*[position()!=last() and position()!=1]"> + <xsl:choose> + <xsl:when test="mml:plus"> <!--add brackets around + children for priority purpose--> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced><mo><mchar name="InvisibleTimes"/></mo> + </xsl:when> + <xsl:when test="mml:minus"> <!--add brackets around - children for priority purpose--> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced><mo><mchar name="InvisibleTimes"/></mo> + </xsl:when> + <xsl:when test="(name(.)='mml:ci' or name(.)='mml:cn') and contains(text(),'-')"> <!-- have to do it using contains because starts-with doesn't seem to work well in XT--> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced><mo><mchar name="InvisibleTimes"/></mo> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="."/><mo><mchar name="InvisibleTimes"/></mo> + </xsl:otherwise> + </xsl:choose> + </xsl:for-each> + <xsl:for-each select="child::*[position()=last()]"> + <xsl:choose> + <xsl:when test="mml:plus"> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced> + </xsl:when> + <xsl:when test="mml:minus"> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced> + </xsl:when> + <xsl:when test="(name(.)='mml:ci' or name(.)='mml:cn') and contains(text(),'-')"> <!-- have to do it using contains because starts-with doesn't seem to work well in XT--> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="."/> + </xsl:otherwise> + </xsl:choose> + </xsl:for-each> + </mrow> +</xsl:when> +<xsl:when test="count(child::*)=2"> <!-- unary --> + <mrow> + <mo><mchar name="InvisibleTimes"/></mo> + <xsl:choose> + <xsl:when test="mml:plus"> + <mfenced separators=""><xsl:apply-templates select="*[position()=2]"/></mfenced> + </xsl:when> + <xsl:when test="mml:minus"> + <mfenced separators=""><xsl:apply-templates select="*[position()=2]"/></mfenced> + </xsl:when> + <xsl:when test="(*[position()=2 and self::mml:ci] or *[position()=2 and self::mml:cn]) and contains(*[position()=2]/text(),'-')"> + <mfenced separators=""><xsl:apply-templates select="*[position()=2]"/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + </mrow> +</xsl:when> +<xsl:otherwise> <!-- no operand --> + <mo><mchar name="InvisibleTimes"/></mo> +</xsl:otherwise> +</xsl:choose> +</xsl:template> + +<!-- root --> +<xsl:template match="mml:apply[mml:root]"> + <xsl:choose> + <xsl:when test="mml:degree"> + <xsl:choose> + <xsl:when test="mml:degree/mml:cn/text()='2'"> <!--if degree=2 display a standard square root--> + <msqrt> + <xsl:apply-templates select="child::*[position()=3]"/> + </msqrt> + </xsl:when> + <xsl:otherwise> + <mroot> + <xsl:apply-templates select="child::*[position()=3]"/> + <mrow><xsl:apply-templates select="mml:degree/*"/></mrow> + </mroot> + </xsl:otherwise> + </xsl:choose> + </xsl:when> + <xsl:otherwise> <!-- no degree specified--> + <msqrt> + <xsl:apply-templates select="child::*[position()=2]"/> + </msqrt> + </xsl:otherwise> + </xsl:choose> +</xsl:template> + +<!-- greatest common divisor --> +<xsl:template match="mml:apply[mml:gcd]"> + <mrow> + <mi>gcd</mi><mo><mchar name="ApplyFunction"/></mo> + <mfenced> + <xsl:apply-templates select="child::*[position()!=1]"/> + </mfenced> + </mrow> +</xsl:template> + +<!-- AND --> +<xsl:template match="mml:apply[mml:and]"> +<mrow> + <xsl:choose> + <xsl:when test="count(*)>=3"> <!-- at least two operands (common case)--> + <xsl:for-each select="child::*[position()!=last() and position()!=1]"> + <xsl:choose> + <xsl:when test="mml:or"> <!--add brackets around OR children for priority purpose--> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced><mo><mchar name="And"/></mo> + </xsl:when> + <xsl:when test="mml:xor"> <!--add brackets around XOR children for priority purpose--> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced><mo><mchar name="And"/></mo> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="."/><mo><mchar name="And"/></mo> + </xsl:otherwise> + </xsl:choose> + </xsl:for-each> + <xsl:for-each select="child::*[position()=last()]"> + <xsl:choose> + <xsl:when test="mml:or"> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced> + </xsl:when> + <xsl:when test="mml:xor"> + <mfenced separators=""><xsl:apply-templates select="."/></mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="."/> + </xsl:otherwise> + </xsl:choose> + </xsl:for-each> + </xsl:when> + <xsl:when test="count(*)=2"> + <mo><mchar name="And"/></mo><xsl:apply-templates select="*[position()=last()]"/> + </xsl:when> + <xsl:otherwise> + <mo><mchar name="And"/></mo> + </xsl:otherwise> + </xsl:choose> +</mrow> +</xsl:template> + +<!-- OR --> +<xsl:template match="mml:apply[mml:or]"> +<mrow> + <xsl:choose> + <xsl:when test="count(*)>=3"> + <xsl:for-each select="child::*[position()!=last() and position()!=1]"> + <xsl:apply-templates select="."/><mo><mchar name="Or"/></mo> + </xsl:for-each> + <xsl:apply-templates select="child::*[position()=last()]"/> + </xsl:when> + <xsl:when test="count(*)=2"> + <mo><mchar name="Or"/></mo><xsl:apply-templates select="*[position()=last()]"/> + </xsl:when> + <xsl:otherwise> + <mo><mchar name="Or"/></mo> + </xsl:otherwise> + </xsl:choose> +</mrow> +</xsl:template> + +<!-- XOR --> +<xsl:template match="mml:apply[mml:xor]"> +<mrow> + <xsl:choose> + <xsl:when test="count(*)>=3"> + <xsl:for-each select="child::*[position()!=last() and position()!=1]"> + <xsl:apply-templates select="."/><mo>xor</mo> + </xsl:for-each> + <xsl:apply-templates select="child::*[position()=last()]"/> + </xsl:when> + <xsl:when test="count(*)=2"> + <mo>xor</mo><xsl:apply-templates select="*[position()=last()]"/> + </xsl:when> + <xsl:otherwise> + <mo>xor</mo> + </xsl:otherwise> + </xsl:choose> +</mrow> +</xsl:template> + +<!-- NOT --> +<xsl:template match="mml:apply[mml:not]"> + <mrow> + <mo><mchar name="Not"/></mo> + <xsl:choose> + <xsl:when test="child::mml:apply"><!--add brackets around OR,AND,XOR children for priority purpose--> + <mfenced separators=""> + <xsl:apply-templates select="child::*[position()=2]"/> + </mfenced> + </xsl:when> + <xsl:otherwise> + <xsl:apply-templates select="child::*[position()=2]"/> + </xsl:otherwise> + </xsl:choose> + </mrow> +</xsl:template> + +<!-- implies --> +<xsl:template match="mml:apply[mml:implies]"> + <mrow> + <xsl:apply-templates select="child::*[position()=2]"/> + <mo><mchar name="DoubleRightArrow"/></mo> + <xsl:apply-templates select="child::*[position()=3]"/> + </mrow> +</xsl:template> + +<xsl:template match="mml:reln[mml:implies]"> + <mrow> + <xsl:apply-templates select="child::*[position()=2]"/> + <mo><mchar name="DoubleRightArrow"/></mo> + <xsl:apply-templates select="child::*[position()=3]"/> + </mrow> +</xsl:template> + +<!-- for all--> +<xsl:template match="mml:apply[mml:forall]"> + <mrow> + <mo><mchar name="ForAll"/></mo> + <mrow> + <xsl:for-each select="mml:bvar[position()!=last()]"> + <xsl:apply-templates select="."/><mo>,</mo> + </xsl:for-each> + <xsl:apply-templates select="mml:bvar[position()=last()]"/> + </mrow> + <xsl:if test="mml:condition"> + <mrow><mo>,</mo><xsl:apply-templates select="mml:condition"/></mrow> + </xsl:if> + <xsl:choose> + <xsl:when test="mml:apply"> + <mo>:</mo><xsl:apply-templates select="mml:apply"/> + </xsl:when> + <xsl:when test="mml:reln"> + <mo>:</mo><xsl:apply-templates select="mml:reln"/> + </xsl:when> + </xsl:choose> + </mrow> +</xsl:template> + +<!-- in --> +<xsl:template match="mml:apply[mml:in]"> + <xsl:text>{</xsl:text> + <xsl:apply-templates select="child::*[position()=2]"/> + <xsl:text>\in</xsl:text> + <xsl:apply-templates select="child::*[position()=3]"/> + <xsl:text>}</xsl:text> +</xsl:template> + +<!-- notin --> +<xsl:template match="mml:apply[mml:notin]"> + <xsl:text>{</xsl:text> + <xsl:apply-templates select="child::*[position()=2]"/> + <xsl:text>\notin</xsl:text> + <xsl:apply-templates select="child::*[position()=3]"/> + <xsl:text>}</xsl:text> +</xsl:template> + +<!-- exist--> +<xsl:template match="mml:apply[mml:exists]"> + <mrow> + <mo><mchar name="Exists"/></mo> + <mrow> + <xsl:for-each select="mml:bvar[position()!=last()]"> + <xsl:apply-templates select="."/><mo>,</mo> + </xsl:for-each> + <xsl:apply-templates select="mml:bvar[position()=last()]"/> + </mrow> + <xsl:if test="mml:condition"> + <mrow><mo>,</mo><xsl:apply-templates select="mml:condition"/></mrow> + </xsl:if> + <xsl:choose> + <xsl:when test="mml:apply"> + <mo>:</mo><xsl:apply-templates select="mml:apply"/> + </xsl:when> + <xsl:when test="mml:reln"> + <mo>:</mo><xsl:apply-templates select="mml:reln"/> + </xsl:when> + </xsl:choose> + </mrow> +</xsl:template> + +<!-- absolute value --> +<xsl:template match="mml:apply[mml:abs]"> + <mrow><mo>|</mo><xsl:apply-templates select="child::*[position()=last()]"/><mo>|</mo></mrow> +</xsl:template> + +<!-- conjugate --> +<xsl:template match="mml:apply[mml:conjugate]"> + <mover> + <xsl:apply-templates select="child::*[position()=2]"/> + <mo><mchar name="ovbar"/></mo> <!-- does not work, UNICODE x0233D or perhaps OverBar--> + </mover> +</xsl:template> + +<!-- argument of complex number --> +<xsl:template match="mml:apply[mml:arg]"> + <mrow> + <mi>arg</mi><mo><mchar name="ApplyFunction"/></mo><mfenced separators=""><xsl:apply-templates select="child::*[position()=2]"/></mfenced> + </mrow> +</xsl:template> + +<!-- real part of complex number --> +<xsl:template match="mml:apply[mml:real]"> + <mrow> + <mi><xsl:text disable-output-escaping='yes'>&#x0211C;</xsl:text><!-- mchar Re or realpart should work--></mi> + <mo><mchar name="ApplyFunction"/></mo> + <mfenced separators=""><xsl:apply-templates select="child::*[position()=2]"/></mfenced> + </mrow> +</xsl:template> + +<!-- imaginary part of complex number --> +<xsl:template match="mml:apply[mml:imaginary]"> + <mrow> + <mi><xsl:text disable-output-escaping='yes'>&#x02111;</xsl:text><!-- mchar Im or impart should work--></mi> + <mo><mchar name="ApplyFunction"/></mo> + <mfenced separators=""><xsl:apply-templates select="child::*[position()=2]"/></mfenced> + </mrow> +</xsl:template> + +<!-- lowest common multiple --> +<xsl:template match="mml:apply[mml:lcm]"> + <mrow> + <mi>lcm</mi><mo><mchar name="ApplyFunction"/></mo> + <mfenced> + <xsl:apply-templates select="child::*[position()!=1]"/> + </mfenced> + </mrow> +</xsl:template> + + +</xsl:stylesheet> |