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kusanagi |
1.1 |
<?xml version="1.0"?>
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<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform">
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<!--
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==========================================================================
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Stylesheet: numberutils_lib.xsl
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========================================================================== -->
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<!-- ========================================================= -->
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<!-- Function: Bin2Dec(<value>) => Decimal value -->
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<!-- Parameters:- -->
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<!-- <value> - the binary string to be converted to decimal -->
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<xsl:template name="Bin2Dec">
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<xsl:param name="value" select="'0'"/>
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<!-- the following paremeters are used only during recursion -->
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<xsl:param name="bin-power" select="number(1)"/>
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<xsl:param name="accum" select="number(0)"/>
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<!-- isolate last binary digit -->
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<xsl:variable name="bin-digit" select="substring($value,string-length($value),1)"/>
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<!-- check that binary digit is valid -->
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<xsl:choose>
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<xsl:when test="not(contains('01',$bin-digit))">
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<!-- not a binary digit! -->
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<xsl:text>NaN</xsl:text>
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</xsl:when>
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<xsl:when test="string-length($bin-digit) = 0">
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<!-- unexpected end of hex string -->
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<xsl:text>0</xsl:text>
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</xsl:when>
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<xsl:otherwise>
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<!-- OK so far -->
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<xsl:variable name="remainder" select="substring($value,1,string-length($value)-1)"/>
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<xsl:variable name="this-digit-value" select="number($bin-digit) * $bin-power"/>
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<!-- determine whether this is the end of the hex string -->
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<xsl:choose>
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<xsl:when test="string-length($remainder) = 0">
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<!-- end - output final result -->
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<xsl:value-of select="$accum + $this-digit-value"/>
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</xsl:when>
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<xsl:otherwise>
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<!-- recurse to self for next digit -->
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<xsl:call-template name="Bin2Dec">
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<xsl:with-param name="value" select="$remainder"/>
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<xsl:with-param name="bin-power" select="$bin-power * 2"/>
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<xsl:with-param name="accum" select="$accum + $this-digit-value"/>
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</xsl:call-template>
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</xsl:otherwise>
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</xsl:choose>
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</xsl:otherwise>
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</xsl:choose>
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</xsl:template>
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<!-- ======================================================== -->
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<!-- Function: Hex2Dec(<value>) => Decimal value -->
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<!-- Parameters:- -->
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<!-- <value> - the hex string to be converted to decimal -->
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<!-- (case of hex string is unimportant) -->
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<xsl:template name="Hex2Dec">
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<xsl:param name="value" select="'0'"/>
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<!-- the following paremeters are used only during recursion -->
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<xsl:param name="hex-power" select="number(1)"/>
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<xsl:param name="accum" select="number(0)"/>
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<!-- isolate last hex digit (and convert it to upper case) -->
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<xsl:variable name="hex-digit" select="translate(substring($value,string-length($value),1),'abcdef','ABCDEF')"/>
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<!-- check that hex digit is valid -->
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<xsl:choose>
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<xsl:when test="not(contains('0123456789ABCDEF',$hex-digit))">
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<!-- not a hex digit! -->
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<xsl:text>NaN</xsl:text>
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</xsl:when>
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<xsl:when test="string-length($hex-digit) = 0">
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<!-- unexpected end of hex string -->
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<xsl:text>0</xsl:text>
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</xsl:when>
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<xsl:otherwise>
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<!-- OK so far -->
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<xsl:variable name="remainder" select="substring($value,1,string-length($value)-1)"/>
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<xsl:variable name="this-digit-value" select="string-length(substring-before('0123456789ABCDEF',$hex-digit)) * $hex-power"/>
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<!-- determine whether this is the end of the hex string -->
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<xsl:choose>
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<xsl:when test="string-length($remainder) = 0">
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<!-- end - output final result -->
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<xsl:value-of select="$accum + $this-digit-value"/>
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</xsl:when>
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<xsl:otherwise>
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<!-- recurse to self for next digit -->
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<xsl:call-template name="Hex2Dec">
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<xsl:with-param name="value" select="$remainder"/>
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<xsl:with-param name="hex-power" select="$hex-power * 16"/>
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<xsl:with-param name="accum" select="$accum + $this-digit-value"/>
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</xsl:call-template>
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</xsl:otherwise>
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</xsl:choose>
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</xsl:otherwise>
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</xsl:choose>
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</xsl:template>
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<!-- ===================================================== -->
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<!-- Function: Dec2Hex(<value>[,<digits>]) => Hex string -->
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<!-- Parameters:- -->
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<!-- <value> - the decimal value to be converted to hex -->
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<!-- (must be a positive) -->
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<!-- <digits> - the number of hex digits required -->
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<!-- If this parameter is omitted then the -->
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<!-- hex string returned is as long as reqd. -->
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<!-- If the number of digits required exceeds -->
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<!-- the value specified by this parameter -->
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<!-- then the hex string is as long as reqd. -->
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<xsl:template name="Dec2Hex">
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<xsl:param name="value" select="number(0)"/>
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<xsl:param name="digits" select="number(-1)"/>
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<!-- the following paremeters are used only during recursion -->
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<xsl:param name="hex" select="number(268435456)"/>
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<xsl:param name="hex-power" select="number(28)"/>
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<xsl:param name="nonzero-encounters" select="false()"/>
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<!-- calculate the left over value to be passed to next recursion -->
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<xsl:variable name="remainder" select="floor($value) mod $hex"/>
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<!-- calculate the value of this nybble (this hex digit) -->
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<xsl:variable name="this-nybble" select="(floor($value) - $remainder) div ($hex)"/>
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<!-- determine whether a non-zero digit has been encountered yet -->
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<xsl:variable name="nonzero-encountered" select="boolean($nonzero-encounters or ($this-nybble > 0))"/>
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<!-- only output hex digit if:- -->
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<!-- non-zero has already been encountered OR -->
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<!-- on the last digit OR -->
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<!-- the number of required digits says so -->
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<xsl:if test="$nonzero-encountered or ($hex-power = 0) or ((($hex-power div 4) + 1) <= $digits)">
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<xsl:value-of select="substring('0123456789ABCDEF',($this-nybble)+1,1)"/>
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</xsl:if>
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<!-- recursive call until all digits have been dealt with -->
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<xsl:if test="$hex-power > 0">
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<xsl:call-template name="Dec2Hex">
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<xsl:with-param name="value" select="$remainder"/>
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<xsl:with-param name="hex" select="$hex div 16"/>
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<xsl:with-param name="hex-power" select="$hex-power - 4"/>
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<xsl:with-param name="digits" select="$digits"/>
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<xsl:with-param name="nonzero-encounters" select="$nonzero-encountered"/>
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</xsl:call-template>
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</xsl:if>
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</xsl:template>
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<!-- ======================================================== -->
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<!-- Function: Dec2Bin(<value>) => Binary string -->
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<!-- Parameters:- -->
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<!-- <value> - the decimal value to be converted to binary -->
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<!-- (must be a positive) -->
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<xsl:template name="Dec2Bin">
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<xsl:param name="value" select="number(0)"/>
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<!-- the following paremeters are used only during recursion -->
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<xsl:param name="bin" select="number(2147483648)"/>
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<xsl:param name="bin-power" select="number(31)"/>
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<xsl:param name="one-encounters" select="false()"/>
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<!-- calculate the left over value to be passed to next recursion -->
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<xsl:variable name="remainder" select="$value mod $bin"/>
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<!-- calculate the value of this bit (this binary digit) -->
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<xsl:variable name="this-bit" select="$value - $remainder"/>
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<!-- determine whether a non-zero digit has been encountered yet -->
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<xsl:variable name="one-encountered" select="boolean($one-encounters or ($this-bit > 0))"/>
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<!-- only output digit if: -->
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<!-- non-zero has already been encountered OR -->
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<!-- on the last digit -->
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<xsl:if test="$one-encountered or ($bin-power = 0)">
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<xsl:value-of select="substring('01',($this-bit div $bin)+1,1)"/>
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</xsl:if>
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<!-- recursive call until all digits have been dealt with -->
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<xsl:if test="$bin-power > 0">
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<xsl:call-template name="Dec2Bin">
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<xsl:with-param name="value" select="$remainder"/>
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<xsl:with-param name="bin" select="$bin div 2"/>
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<xsl:with-param name="bin-power" select="$bin-power - 1"/>
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<xsl:with-param name="one-encounters" select="$one-encountered"/>
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</xsl:call-template>
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</xsl:if>
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</xsl:template>
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<!-- ======================================================== -->
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<!-- Function: BinAND(<bin1>,<bin2>) => Binary string -->
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<!-- Parameters:- -->
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<!-- <bin1> - the first binary string number to be ANDed -->
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<!-- <bin2> - the second binary string number to be ANDed -->
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<xsl:template name="BinAND">
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<xsl:param name="bin1" select="'0'"/>
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<xsl:param name="bin2" select="'0'"/>
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<!-- param used for recursion iteration -->
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<xsl:param name="i" select="number(1)"/>
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<xsl:variable name="max-len">
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<xsl:choose>
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<xsl:when test="string-length($bin1) > string-length($bin2)"><xsl:value-of select="string-length($bin1)"/></xsl:when>
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<xsl:otherwise><xsl:value-of select="string-length($bin2)"/></xsl:otherwise>
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</xsl:choose>
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</xsl:variable>
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<xsl:variable name="sbin1" select="substring(concat(substring('00000000000000000000000000000000',1,$max-len - string-length($bin1)),$bin1),$i,1)"/>
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<xsl:variable name="sbin2" select="substring(concat(substring('00000000000000000000000000000000',1,$max-len - string-length($bin2)),$bin2),$i,1)"/>
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<xsl:choose>
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<xsl:when test="$sbin1 = '1' and $sbin2 = '1'"><xsl:text>1</xsl:text></xsl:when>
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<xsl:otherwise><xsl:text>0</xsl:text></xsl:otherwise>
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</xsl:choose>
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<xsl:if test="$i < $max-len">
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<xsl:call-template name="BinAND">
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<xsl:with-param name="bin1" select="$bin1"/>
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<xsl:with-param name="bin2" select="$bin2"/>
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<xsl:with-param name="i" select="$i + 1"/>
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</xsl:call-template>
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</xsl:if>
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</xsl:template>
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<!-- ======================================================== -->
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<!-- Function: BinOR(<bin1>,<bin2>) => Binary string -->
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<!-- Parameters:- -->
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<!-- <bin1> - the first binary string number to be ORed -->
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<!-- <bin2> - the second binary string number to be ORed -->
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<xsl:template name="BinOR">
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<xsl:param name="bin1" select="'0'"/>
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<xsl:param name="bin2" select="'0'"/>
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<!-- param used for recursion iteration -->
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<xsl:param name="i" select="number(1)"/>
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<xsl:variable name="max-len">
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<xsl:choose>
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<xsl:when test="string-length($bin1) > string-length($bin2)"><xsl:value-of select="string-length($bin1)"/></xsl:when>
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<xsl:otherwise><xsl:value-of select="string-length($bin2)"/></xsl:otherwise>
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</xsl:choose>
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</xsl:variable>
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<xsl:variable name="sbin1" select="substring(concat(substring('00000000000000000000000000000000',1,$max-len - string-length($bin1)),$bin1),$i,1)"/>
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<xsl:variable name="sbin2" select="substring(concat(substring('00000000000000000000000000000000',1,$max-len - string-length($bin2)),$bin2),$i,1)"/>
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<xsl:choose>
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<xsl:when test="$sbin1 = '1' or $sbin2 = '1'"><xsl:text>1</xsl:text></xsl:when>
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<xsl:otherwise><xsl:text>0</xsl:text></xsl:otherwise>
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</xsl:choose>
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<xsl:if test="$i < $max-len">
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<xsl:call-template name="BinOR">
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<xsl:with-param name="bin1" select="$bin1"/>
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<xsl:with-param name="bin2" select="$bin2"/>
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<xsl:with-param name="i" select="$i + 1"/>
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</xsl:call-template>
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</xsl:if>
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</xsl:template>
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<!-- ======================================================== -->
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<!-- Function: BinXOR(<bin1>,<bin2>) => Binary string -->
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<!-- Parameters:- -->
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<!-- <bin1> - the first binary string number to be XORed -->
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<!-- <bin2> - the second binary string number to be XORed -->
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<xsl:template name="BinXOR">
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| 242 |
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<xsl:param name="bin1" select="'0'"/>
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| 243 |
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<xsl:param name="bin2" select="'0'"/>
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| 244 |
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<!-- param used for recursion iteration -->
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| 245 |
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<xsl:param name="i" select="number(1)"/>
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| 246 |
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<xsl:variable name="max-len">
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| 247 |
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<xsl:choose>
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| 248 |
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<xsl:when test="string-length($bin1) > string-length($bin2)"><xsl:value-of select="string-length($bin1)"/></xsl:when>
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| 249 |
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<xsl:otherwise><xsl:value-of select="string-length($bin2)"/></xsl:otherwise>
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| 250 |
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</xsl:choose>
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| 251 |
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</xsl:variable>
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| 252 |
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<xsl:variable name="sbin1" select="substring(concat(substring('00000000000000000000000000000000',1,$max-len - string-length($bin1)),$bin1),$i,1)"/>
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| 253 |
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<xsl:variable name="sbin2" select="substring(concat(substring('00000000000000000000000000000000',1,$max-len - string-length($bin2)),$bin2),$i,1)"/>
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| 254 |
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<xsl:choose>
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<xsl:when test="$sbin1 = '1' and $sbin2 = '1'"><xsl:text>0</xsl:text></xsl:when>
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| 256 |
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<xsl:when test="$sbin1 = '1' or $sbin2 = '1'"><xsl:text>1</xsl:text></xsl:when>
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| 257 |
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<xsl:otherwise><xsl:text>0</xsl:text></xsl:otherwise>
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| 258 |
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</xsl:choose>
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| 259 |
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<xsl:if test="$i < $max-len">
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| 260 |
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<xsl:call-template name="BinXOR">
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| 261 |
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<xsl:with-param name="bin1" select="$bin1"/>
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| 262 |
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<xsl:with-param name="bin2" select="$bin2"/>
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| 263 |
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<xsl:with-param name="i" select="$i + 1"/>
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| 264 |
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</xsl:call-template>
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| 265 |
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</xsl:if>
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| 266 |
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</xsl:template>
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<!-- ======================================================== -->
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<!-- Function: BinNOT(<bin>) => Binary string -->
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| 270 |
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<!-- Parameters:- -->
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| 271 |
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<!-- <bin> - the binary string number to be NOTed -->
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| 272 |
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<xsl:template name="BinNOT">
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| 273 |
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<xsl:param name="bin" select="'0'"/>
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| 274 |
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<xsl:param name="max-bits" select="number(32)"/>
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| 275 |
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<xsl:variable name="not1" select="translate($bin,'01','10')"/>
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| 276 |
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<xsl:value-of select="concat(substring('11111111111111111111111111111111',1,$max-bits - string-length($not1)),$not1)"/>
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</xsl:template>
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<!-- ======================================================== -->
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| 280 |
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<!-- Function: BooleanOR(<value1>,<value2>) => number -->
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| 281 |
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<!-- Parameters:- -->
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| 282 |
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<!-- <value1> - the first number to be ORed -->
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| 283 |
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<!-- <value2> - the second number to be ORed -->
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| 284 |
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<!-- NB. Only works with positive numbers! -->
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| 285 |
|
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<xsl:template name="BooleanOR">
|
| 286 |
|
|
<xsl:param name="value1" select="number(0)"/>
|
| 287 |
|
|
<xsl:param name="value2" select="number(0)"/>
|
| 288 |
|
|
<!-- recurse parameters -->
|
| 289 |
|
|
<xsl:param name="bitval" select="number(2147483648)"/>
|
| 290 |
|
|
<xsl:param name="accum" select="number(0)"/>
|
| 291 |
|
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<!-- calc bits present on values -->
|
| 292 |
|
|
<xsl:variable name="bit1" select="floor($value1 div $bitval)"/>
|
| 293 |
|
|
<xsl:variable name="bit2" select="floor($value2 div $bitval)"/>
|
| 294 |
|
|
<!-- do the OR on the bits -->
|
| 295 |
|
|
<xsl:variable name="thisbit">
|
| 296 |
|
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<xsl:choose>
|
| 297 |
|
|
<xsl:when test="($bit1 != 0) or ($bit2 != 0)"><xsl:value-of select="$bitval"/></xsl:when>
|
| 298 |
|
|
<xsl:otherwise>0</xsl:otherwise>
|
| 299 |
|
|
</xsl:choose>
|
| 300 |
|
|
</xsl:variable>
|
| 301 |
|
|
<!-- if last recurse then output the value -->
|
| 302 |
|
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<xsl:choose>
|
| 303 |
|
|
<xsl:when test="$bitval = 1"><xsl:value-of select="$accum + $thisbit"/></xsl:when>
|
| 304 |
|
|
<xsl:otherwise>
|
| 305 |
|
|
<!-- recurse required -->
|
| 306 |
|
|
<xsl:call-template name="BooleanOR">
|
| 307 |
|
|
<xsl:with-param name="value1" select="$value1 mod $bitval"/>
|
| 308 |
|
|
<xsl:with-param name="value2" select="$value2 mod $bitval"/>
|
| 309 |
|
|
<xsl:with-param name="bitval" select="$bitval div 2"/>
|
| 310 |
|
|
<xsl:with-param name="accum" select="$accum + $thisbit"/>
|
| 311 |
|
|
</xsl:call-template>
|
| 312 |
|
|
</xsl:otherwise>
|
| 313 |
|
|
</xsl:choose>
|
| 314 |
|
|
</xsl:template>
|
| 315 |
|
|
|
| 316 |
|
|
<!-- ======================================================== -->
|
| 317 |
|
|
<!-- Function: BooleanAND(<value1>,<value2>) => number -->
|
| 318 |
|
|
<!-- Parameters:- -->
|
| 319 |
|
|
<!-- <value1> - the first number to be ANDed -->
|
| 320 |
|
|
<!-- <value2> - the second number to be ANDed -->
|
| 321 |
|
|
<!-- NB. Only works with positive numbers! -->
|
| 322 |
|
|
<xsl:template name="BooleanAND">
|
| 323 |
|
|
<xsl:param name="value1" select="number(0)"/>
|
| 324 |
|
|
<xsl:param name="value2" select="number(0)"/>
|
| 325 |
|
|
<!-- recurse parameters -->
|
| 326 |
|
|
<xsl:param name="bitval" select="number(2147483648)"/>
|
| 327 |
|
|
<xsl:param name="accum" select="number(0)"/>
|
| 328 |
|
|
<!-- calc bits present on values -->
|
| 329 |
|
|
<xsl:variable name="bit1" select="floor($value1 div $bitval)"/>
|
| 330 |
|
|
<xsl:variable name="bit2" select="floor($value2 div $bitval)"/>
|
| 331 |
|
|
<!-- do the OR on the bits -->
|
| 332 |
|
|
<xsl:variable name="thisbit">
|
| 333 |
|
|
<xsl:choose>
|
| 334 |
|
|
<xsl:when test="($bit1 != 0) and ($bit2 != 0)"><xsl:value-of select="$bitval"/></xsl:when>
|
| 335 |
|
|
<xsl:otherwise>0</xsl:otherwise>
|
| 336 |
|
|
</xsl:choose>
|
| 337 |
|
|
</xsl:variable>
|
| 338 |
|
|
<!-- if last recurse then output the value -->
|
| 339 |
|
|
<xsl:choose>
|
| 340 |
|
|
<xsl:when test="$bitval = 1"><xsl:value-of select="$accum + $thisbit"/></xsl:when>
|
| 341 |
|
|
<xsl:otherwise>
|
| 342 |
|
|
<!-- recurse required -->
|
| 343 |
|
|
<xsl:call-template name="BooleanAND">
|
| 344 |
|
|
<xsl:with-param name="value1" select="$value1 mod $bitval"/>
|
| 345 |
|
|
<xsl:with-param name="value2" select="$value2 mod $bitval"/>
|
| 346 |
|
|
<xsl:with-param name="bitval" select="$bitval div 2"/>
|
| 347 |
|
|
<xsl:with-param name="accum" select="$accum + $thisbit"/>
|
| 348 |
|
|
</xsl:call-template>
|
| 349 |
|
|
</xsl:otherwise>
|
| 350 |
|
|
</xsl:choose>
|
| 351 |
|
|
</xsl:template>
|
| 352 |
|
|
|
| 353 |
|
|
<!-- ======================================================== -->
|
| 354 |
|
|
<!-- Function: BooleanXOR(<value1>,<value2>) => number -->
|
| 355 |
|
|
<!-- Parameters:- -->
|
| 356 |
|
|
<!-- <value1> - the first number to be XORed -->
|
| 357 |
|
|
<!-- <value2> - the second number to be XORed -->
|
| 358 |
|
|
<!-- NB. Only works with positive numbers! -->
|
| 359 |
|
|
<xsl:template name="BooleanXOR">
|
| 360 |
|
|
<xsl:param name="value1" select="number(0)"/>
|
| 361 |
|
|
<xsl:param name="value2" select="number(0)"/>
|
| 362 |
|
|
<!-- recurse parameters -->
|
| 363 |
|
|
<xsl:param name="bitval" select="number(2147483648)"/>
|
| 364 |
|
|
<xsl:param name="accum" select="number(0)"/>
|
| 365 |
|
|
<!-- calc bits present on values -->
|
| 366 |
|
|
<xsl:variable name="bit1" select="floor($value1 div $bitval)"/>
|
| 367 |
|
|
<xsl:variable name="bit2" select="floor($value2 div $bitval)"/>
|
| 368 |
|
|
<!-- do the XOR on the bits -->
|
| 369 |
|
|
<xsl:variable name="thisbit">
|
| 370 |
|
|
<xsl:choose>
|
| 371 |
|
|
<xsl:when test="(($bit1 != 0) and ($bit2 = 0)) or (($bit1 = 0) and ($bit2 != 0))"><xsl:value-of select="$bitval"/></xsl:when>
|
| 372 |
|
|
<xsl:otherwise>0</xsl:otherwise>
|
| 373 |
|
|
</xsl:choose>
|
| 374 |
|
|
</xsl:variable>
|
| 375 |
|
|
<!-- if last recurse then output the value -->
|
| 376 |
|
|
<xsl:choose>
|
| 377 |
|
|
<xsl:when test="$bitval = 1"><xsl:value-of select="$accum + $thisbit"/></xsl:when>
|
| 378 |
|
|
<xsl:otherwise>
|
| 379 |
|
|
<!-- recurse required -->
|
| 380 |
|
|
<xsl:call-template name="BooleanXOR">
|
| 381 |
|
|
<xsl:with-param name="value1" select="$value1 mod $bitval"/>
|
| 382 |
|
|
<xsl:with-param name="value2" select="$value2 mod $bitval"/>
|
| 383 |
|
|
<xsl:with-param name="bitval" select="$bitval div 2"/>
|
| 384 |
|
|
<xsl:with-param name="accum" select="$accum + $thisbit"/>
|
| 385 |
|
|
</xsl:call-template>
|
| 386 |
|
|
</xsl:otherwise>
|
| 387 |
|
|
</xsl:choose>
|
| 388 |
|
|
</xsl:template>
|
| 389 |
|
|
|
| 390 |
|
|
</xsl:stylesheet> |
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