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+<?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 1.2 2004/01/18 10:45:35 j-devenish Exp $
+ |- #############################################################################
+ | $Author: j-devenish $
+ |
+ | 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>
+
+<!-- leq -->
+<xsl:template match="mml:apply[mml:leq]">
+ <xsl:text>{</xsl:text>
+ <xsl:apply-templates select="child::*[position()=2]"/>
+ <xsl:text>\leq</xsl:text>
+ <xsl:apply-templates select="child::*[position()=3]"/>
+ <xsl:text>}</xsl:text>
+</xsl:template>
+
+<!-- geq -->
+<xsl:template match="mml:apply[mml:geq]">
+ <xsl:text>{</xsl:text>
+ <xsl:apply-templates select="child::*[position()=2]"/>
+ <xsl:text>\geq</xsl:text>
+ <xsl:apply-templates select="child::*[position()=3]"/>
+ <xsl:text>}</xsl:text>
+</xsl:template>
+
+<!-- domain -->
+<xsl:template match="mml:apply[mml:domain]">
+ <xsl:text>\mbox{dom}(</xsl:text>
+ <xsl:apply-templates select="child::*[position()=2]"/>
+ <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'>&amp;#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'>&amp;#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>