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<?xml version="1.0" encoding="UTF-8"?>
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DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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Copyright 2008 by Sun Microsystems, Inc.
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OpenOffice.org - a multi-platform office productivity suite
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$RCSfile: math.xsl,v $
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This file is part of OpenOffice.org.
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OpenOffice.org is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License version 3
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only, as published by the Free Software Foundation.
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OpenOffice.org is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License version 3 for more details
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(a copy is included in the LICENSE file that accompanied this code).
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You should have received a copy of the GNU Lesser General Public License
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version 3 along with OpenOffice.org. If not, see
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<http://www.openoffice.org/license.html>
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for a copy of the LGPLv3 License.
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xslt math lib by Wind Li
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sin(x,rounding-factor=100)
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cos(x,rounding-factor=100)
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tan(x,rounding-factor=100)
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ctan(x,rounding-factor=100)
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atan2(x, y ,rounding-factor=100)
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atan(x,rounding-factor=100)
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acos(x,rounding-factor=100)
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asin(x,rounding-factor=100)
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power(x,power(interger only), rounding-factor=100)
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sqrt(x, rounding-factor=100)
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convert2radian(x,rounding-factor=100)
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convert2degree(x,rounding-factor=100)
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convert2fd(x,rounding-factor=100)
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<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:svg="urn:oasis:names:tc:opendocument:xmlns:svg-compatible:1.0" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:w10="urn:schemas-microsoft-com:office:word" xmlns:w="http://schemas.microsoft.com/office/word/2003/wordml" xmlns:text="http://openoffice.org/2000/text" xmlns:style="http://openoffice.org/2000/style" xmlns:fo="urn:oasis:names:tc:opendocument:xmlns:xsl-fo-compatible:1.0" xmlns:office="http://openoffice.org/2000/office" exclude-result-prefixes="draw svg style office fo text">
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<xsl:variable name="pi" select="3.1416"/>
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<xsl:template name="math-test">
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<xsl:call-template name="sin">
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<xsl:with-param name="x" select="34.8"/>
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<xsl:with-param name="rounding-factor" select="100000"/>
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<xsl:call-template name="cos">
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<xsl:with-param name="x" select="34.8"/>
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<xsl:with-param name="rounding-factor" select="100000"/>
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<xsl:call-template name="atan">
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<xsl:with-param name="x" select="2.74"/>
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<xsl:with-param name="rounding-factor" select="100000"/>
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<xsl:call-template name="acos">
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<xsl:with-param name="x" select="0.5"/>
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<xsl:with-param name="rounding-factor" select="100000"/>
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<xsl:call-template name="asin">
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<xsl:with-param name="x" select="0.5"/>
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<xsl:with-param name="rounding-factor" select="100000"/>
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<xsl:call-template name="sqrt">
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<xsl:with-param name="x" select="1328.3414"/>
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<xsl:with-param name="rounding-factor" select="100000"/>
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<!-- public functions start -->
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<xsl:template name="sin">
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<xsl:param name="x" select="0"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="angle" select="$x * 180 div $pi "/>
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<xsl:variable name="mod-angle" select="$angle mod 360"/>
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<xsl:variable name="sinx">
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<xsl:call-template name="sin-private">
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<xsl:with-param name="x" select=" ( $angle mod 360 ) * $pi div 180 "/>
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<xsl:value-of select=" round ( number($sinx) * $rounding-factor ) div $rounding-factor"/>
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<xsl:template name="cos">
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<xsl:param name="x" select="0"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="angle" select="$x * 180 div $pi "/>
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<xsl:variable name="mod-angle" select="$angle mod 360"/>
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<xsl:variable name="cosx">
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<xsl:call-template name="cos-private">
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<xsl:with-param name="x" select=" ( $angle mod 360 ) * $pi div 180 "/>
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<xsl:value-of select=" round ( number($cosx) * $rounding-factor ) div $rounding-factor"/>
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<xsl:template name="tan">
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<xsl:param name="x" select="0"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="sinx">
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<xsl:call-template name="sin">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor * 10"/>
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<xsl:variable name="cosx">
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<xsl:call-template name="cos">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor * 10"/>
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<xsl:when test=" $cosx = 0 ">
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<xsl:message>tan error : tan(<xsl:value-of select="$x"/>) is infinite!</xsl:message>
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<xsl:value-of select="63535"/>
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<xsl:value-of select=" round( $sinx div $cosx * $rounding-factor) div $rounding-factor"/>
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<xsl:template name="ctan">
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<xsl:param name="x" select="0"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="sinx">
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<xsl:call-template name="sin">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor * 10"/>
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<xsl:variable name="cosx">
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<xsl:call-template name="cos">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor * 10"/>
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<xsl:when test=" $sinx = 0 ">
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<xsl:message>tan error : tan(<xsl:value-of select="$x"/>) is infinite!</xsl:message>
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<xsl:value-of select="63535"/>
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<xsl:value-of select=" round( $cosx div $sinx * $rounding-factor) div $rounding-factor"/>
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<xsl:template name="atan">
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<xsl:param name="x" select="0"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:when test="$x = 0">
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<xsl:value-of select="0"/>
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<xsl:when test="$x < 0">
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<xsl:variable name="atan-x">
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<xsl:call-template name="atan">
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<xsl:with-param name="x" select=" -1 * $x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor"/>
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<xsl:value-of select="-1 * $atan-x"/>
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<xsl:when test="$x > 1">
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<xsl:variable name="atan-div-x">
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<xsl:call-template name="atan">
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<xsl:with-param name="x" select="1 div $x "/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor"/>
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<xsl:value-of select=" $pi div 2 - $atan-div-x"/>
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<xsl:variable name="arctanx">
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<xsl:call-template name="atan-private">
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<xsl:with-param name="x" select=" $x "/>
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<xsl:value-of select=" round ( number($arctanx) * $rounding-factor ) div $rounding-factor"/>
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<xsl:template name="atan2">
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<xsl:param name="x"/>
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<xsl:param name="y"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:when test="$x = 0">
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<xsl:value-of select=" $pi div 2"/>
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<xsl:call-template name="atan">
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<xsl:with-param name="x" select="$y div $x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor"/>
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<xsl:template name="acos">
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<xsl:param name="x"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="abs-x">
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<xsl:call-template name="abs">
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<xsl:with-param name="x" select="$x"/>
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<xsl:when test="$abs-x > 1">
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<xsl:message>acos error : abs(<xsl:value-of select="$x"/>) greate then 1 !</xsl:message>
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<xsl:call-template name="atan2">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="y">
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<xsl:call-template name="sqrt">
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<xsl:with-param name="x" select="1 - $x * $x"/>
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<xsl:with-param name="rounding-factor" select=" concat($rounding-factor,'0') "/>
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<xsl:template name="asin">
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<xsl:param name="x"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="abs-x">
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<xsl:call-template name="abs">
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<xsl:with-param name="x" select="$x"/>
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<xsl:when test="$abs-x > 1">
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<xsl:message>asin error : abs(<xsl:value-of select="$x"/>) greate then 1 !</xsl:message>
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<xsl:call-template name="atan2">
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<xsl:with-param name="y" select="$x"/>
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<xsl:with-param name="x">
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<xsl:call-template name="sqrt">
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<xsl:with-param name="x" select="1 - $x * $x"/>
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<xsl:with-param name="rounding-factor" select=" concat($rounding-factor,'0') "/>
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<xsl:template name="abs">
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<xsl:param name="x"/>
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<xsl:when test="$x > 0">
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<xsl:value-of select="$x"/>
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<xsl:value-of select="$x * -1"/>
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<xsl:template name="max">
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<xsl:param name="x1"/>
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<xsl:param name="x2"/>
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<xsl:when test="$x1 > $x2">
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<xsl:value-of select="$x1"/>
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<xsl:value-of select="$x2"/>
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<xsl:template name="min">
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<xsl:param name="x1"/>
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<xsl:param name="x2"/>
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<xsl:when test="$x1 < $x2">
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<xsl:value-of select="$x1"/>
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<xsl:value-of select="$x2"/>
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<xsl:template name="power">
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<xsl:param name="x"/>
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<xsl:param name="y" select="1"/>
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<xsl:param name="rounding-factor" select="100"/>
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<!-- z is a private param -->
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<xsl:param name="z" select="1"/>
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<xsl:when test="$y > 0">
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<xsl:call-template name="power">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="y" select="$y - 1"/>
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<xsl:with-param name="z" select="$z * $x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor"/>
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<xsl:value-of select=" round( $z * $rounding-factor) div $rounding-factor"/>
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<xsl:template name="sqrt">
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<xsl:param name="x"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:when test="$x = 0">0</xsl:when>
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<xsl:when test="$x < 0">
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<xsl:message>sqrt error : <xsl:value-of select="$x"/> less then 0!</xsl:message>
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<xsl:call-template name="sqrt-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="rounding-factor" select="$rounding-factor"/>
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<!-- public functions end -->
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<xsl:template name="sin-private">
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<xsl:param name="x" select="0"/>
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<xsl:param name="n" select="0"/>
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<xsl:param name="nx" select="1"/>
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<xsl:param name="sign" select="1"/>
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<xsl:param name="max-n" select="20"/>
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<xsl:param name="sinx" select="0"/>
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<xsl:when test="not ($max-n > $n) or $nx = 0 ">
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<xsl:value-of select="$sinx"/>
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<xsl:when test="$n = 0">
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<xsl:call-template name="sin-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="sign" select="$sign * -1"/>
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<xsl:with-param name="max-n" select="$max-n"/>
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<xsl:with-param name="nx" select="$x "/>
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<xsl:with-param name="sinx" select="$sinx + $x"/>
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<xsl:variable name="new-nx" select="($nx * $x * $x) div ( 2 * $n ) div ( 2 * $n + 1) "/>
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<xsl:call-template name="sin-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="sign" select="$sign * -1"/>
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<xsl:with-param name="max-n" select="$max-n"/>
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<xsl:with-param name="nx" select=" $new-nx "/>
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<xsl:with-param name="sinx" select="$sinx + $new-nx * $sign"/>
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<xsl:template name="cos-private">
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<xsl:param name="x" select="0"/>
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<xsl:param name="n" select="0"/>
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<xsl:param name="nx" select="1"/>
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<xsl:param name="sign" select="1"/>
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<xsl:param name="max-n" select="20"/>
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<xsl:param name="cosx" select="0"/>
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<xsl:when test="not ($max-n > $n) or $nx = 0 ">
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<xsl:value-of select="$cosx"/>
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<xsl:when test="$n = 0">
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<xsl:call-template name="cos-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="sign" select="$sign * -1"/>
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<xsl:with-param name="max-n" select="$max-n"/>
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<xsl:with-param name="nx" select=" 1 "/>
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<xsl:with-param name="cosx" select="1"/>
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<xsl:variable name="new-nx" select="($nx * $x * $x) div ( 2 * $n -1 ) div ( 2 * $n ) "/>
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<xsl:call-template name="cos-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="sign" select="$sign * -1"/>
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<xsl:with-param name="max-n" select="$max-n"/>
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<xsl:with-param name="nx" select=" $new-nx "/>
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<xsl:with-param name="cosx" select="$cosx + $new-nx * $sign"/>
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<xsl:template name="atan-private">
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<xsl:param name="x" select="0"/>
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<xsl:param name="n" select="0"/>
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<xsl:param name="nx" select="1"/>
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<xsl:param name="sign" select="1"/>
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<xsl:param name="max-n" select="40"/>
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<xsl:param name="arctanx" select="0"/>
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<xsl:when test="not ($max-n > $n) or $nx = 0 ">
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<xsl:value-of select="$arctanx"/>
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<xsl:when test="$n = 0">
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<xsl:call-template name="atan-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="sign" select="$sign * -1"/>
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<xsl:with-param name="max-n" select="$max-n"/>
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<xsl:with-param name="nx" select="$x "/>
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<xsl:with-param name="arctanx" select="$arctanx + $x"/>
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<xsl:variable name="new-nx" select=" $nx * $x * $x "/>
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<xsl:call-template name="atan-private">
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<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="sign" select="$sign * -1"/>
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<xsl:with-param name="max-n" select="$max-n"/>
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<xsl:with-param name="nx" select=" $new-nx "/>
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<xsl:with-param name="arctanx" select="$arctanx + $new-nx div (2 * $n +1) * $sign"/>
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<xsl:template name="sqrt-private">
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<xsl:param name="x"/>
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<xsl:param name="rounding-factor" select="100"/>
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<xsl:variable name="shift" select="string-length( $rounding-factor)"/>
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<xsl:variable name="power">
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<xsl:call-template name="power">
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<xsl:with-param name="x" select="100"/>
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<xsl:with-param name="y" select="$shift"/>
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<xsl:with-param name="rounding-factor" select="1"/>
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<xsl:variable name="integer-x" select=" round( $power * $x )"/>
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<xsl:variable name="integer-quotient">
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<xsl:call-template name="integer-sqrt">
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<xsl:with-param name="x" select="$integer-x"/>
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<xsl:with-param name="length" select=" string-length( $integer-x ) "/>
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<xsl:with-param name="curr-pos" select=" 2 - (round (string-length( $integer-x ) div 2 ) * 2 - string-length( $integer-x ) ) "/>
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<xsl:variable name="power-10">
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<xsl:call-template name="power">
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<xsl:with-param name="x" select="10"/>
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<xsl:with-param name="y" select="$shift - 1"/>
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<xsl:with-param name="rounding-factor" select="1"/>
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<xsl:value-of select=" round( $integer-quotient div 10) div $power-10 "/>
473
<xsl:template name="integer-sqrt">
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<xsl:param name="x"/>
475
<xsl:param name="length"/>
476
<xsl:param name="curr-pos"/>
477
<xsl:param name="last-quotient" select="0"/>
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<xsl:when test="$curr-pos > $length">
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<xsl:value-of select="$last-quotient"/>
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<xsl:variable name="curr-x" select="substring( $x, 1, $curr-pos )"/>
484
<xsl:variable name="new-quotient">
485
<xsl:call-template name="get-one-sqrt-digit">
486
<xsl:with-param name="x" select="$curr-x"/>
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<xsl:with-param name="last-quotient" select="$last-quotient"/>
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<xsl:with-param name="n" select="5"/>
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<xsl:with-param name="direct" select="0"/>
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<xsl:call-template name="integer-sqrt">
493
<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="length" select="$length"/>
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<xsl:with-param name="curr-pos" select="$curr-pos + 2"/>
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<xsl:with-param name="last-quotient" select="number($new-quotient)"/>
501
<xsl:template name="get-one-sqrt-digit">
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<xsl:param name="x"/>
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<xsl:param name="last-quotient"/>
504
<xsl:param name="n"/>
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<xsl:param name="direct" select="1"/>
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<xsl:variable name="quotient" select=" concat( $last-quotient, $n) "/>
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<xsl:variable name="accumulate" select="$quotient * $quotient "/>
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<xsl:when test="$accumulate = $x">
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<xsl:value-of select="concat($last-quotient , $n )"/>
512
<xsl:when test="$direct = 0 and $accumulate < $x">
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<xsl:call-template name="get-one-sqrt-digit">
514
<xsl:with-param name="x" select="$x"/>
515
<xsl:with-param name="last-quotient" select="$last-quotient"/>
516
<xsl:with-param name="n" select="$n + 1"/>
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<xsl:with-param name="direct" select="1"/>
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<xsl:when test="$direct = 0 and $accumulate > $x">
521
<xsl:call-template name="get-one-sqrt-digit">
522
<xsl:with-param name="x" select="$x"/>
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<xsl:with-param name="last-quotient" select="$last-quotient"/>
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<xsl:with-param name="n" select="$n - 1"/>
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<xsl:with-param name="direct" select="-1"/>
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<xsl:when test=" $accumulate * $direct < $x * $direct ">
529
<xsl:call-template name="get-one-sqrt-digit">
530
<xsl:with-param name="x" select="$x"/>
531
<xsl:with-param name="last-quotient" select="$last-quotient"/>
532
<xsl:with-param name="n" select="$n+ $direct"/>
533
<xsl:with-param name="direct" select="$direct"/>
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<xsl:when test="not($n < 9) or $n = -1">
537
<xsl:value-of select="concat($last-quotient , $n - $direct) "/>
539
<xsl:when test="$direct = 1">
540
<xsl:value-of select="concat($last-quotient , $n - 1) "/>
543
<xsl:value-of select="concat($last-quotient , $n) "/>
547
<xsl:template name="convert2redian">
548
<xsl:param name="x" select="'0'"/>
549
<xsl:param name="rounding-factor" select="100"/>
551
<xsl:when test="contains($x,'deg')">
552
<xsl:value-of select="round($rounding-factor * number(substring-before($x, 'deg') div 180 * $pi)) div $rounding-factor"/>
554
<xsl:when test="contains($x,'fd')">
555
<xsl:value-of select="round($rounding-factor * number(substring-before($x, 'fd') div 180 div 65536 * $pi)) div $rounding-factor"/>
558
<xsl:value-of select="round($rounding-factor * number($x) div 180 * $pi) div $rounding-factor"/>
562
<xsl:template name="convert2degree">
563
<xsl:param name="x" select="'0'"/>
564
<xsl:param name="rounding-factor" select="100"/>
566
<xsl:when test="contains($x,'deg')">
567
<xsl:value-of select="round($rounding-factor * substring-before($x,'deg')) div $rounding-factor"/>
569
<xsl:when test="contains($x,'fd')">
570
<xsl:value-of select="round($rounding-factor * number(substring-before($x, 'fd')) div 65536 ) div $rounding-factor"/>
573
<xsl:value-of select="round($rounding-factor * number($x) * 180 div $pi) div $rounding-factor"/>
577
<xsl:template name="convert2fd">
578
<xsl:param name="x" select="'0'"/>
579
<xsl:param name="rounding-factor" select="100"/>
581
<xsl:when test="contains($x,'deg')">
582
<xsl:value-of select="round($rounding-factor * number(substring-before($x, 'deg') * 65535)) div $rounding-factor"/>
584
<xsl:when test="contains($x,'fd')">
585
<xsl:value-of select="round($rounding-factor * number(substring-before($x, 'fd'))) div $rounding-factor"/>
588
<xsl:value-of select="round($rounding-factor * number($x) * 180 div $pi * 65535) div $rounding-factor"/>
added
removed
xml.files/odt/common/math.xsl
