Math Module
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The math XQuery Module defines functions to perform mathematical operations, such as pi
, asin
and acos
. Most functions are specified in the Functions and Operators Specification of the upcoming XQuery 3.0 Recommendation, and some additional ones have been added in this module.
Conventions[edit]
All functions in this module are assigned to the http://www.w3.org/2005/xpathfunctions/math
namespace, which is statically bound to the math
prefix.
W3 Functions[edit]
math:pi[edit]
Signatures  math:pi() as xs:double

Summary  Returns the xs:double value of the mathematical constant π whose lexical representation is 3.141592653589793.

Examples 

math:sqrt[edit]
Signatures  math:sqrt($arg as xs:double?) as xs:double?

Summary  Returns the square root of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the xs:double value of the mathematical square root of $arg .

math:sin[edit]
Signatures  math:sin($arg as xs:double?) as xs:double?

Summary  Returns the sine of the $arg , expressed in radians.If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the sine of $arg , treated as an angle in radians.

math:cos[edit]
Signatures  math:cos($arg as xs:double?) as xs:double?

Summary  Returns the cosine of $arg , expressed in radians.If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the cosine of $arg , treated as an angle in radians.

math:tan[edit]
Signatures  math:tan($arg as xs:double?) as xs:double?

Summary  Returns the tangent of $arg , expressed in radians.If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the tangent of $arg , treated as an angle in radians.

math:asin[edit]
Signatures  math:asin($arg as xs:double?) as xs:double?

Summary  Returns the arc sine of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the arc sine of $arg , returned as an angle in radians in the range π/2 to +π/2.

math:acos[edit]
Signatures  math:acos($arg as xs:double?) as xs:double?

Summary  Returns the arc cosine of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the arc cosine of $arg , returned as an angle in radians in the range 0 to +π.

math:atan[edit]
Signatures  math:atan($arg as xs:double?) as xs:double?

Summary  Returns the arc tangent of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the arc tangent of $arg , returned as an angle in radians in the range π/2 to +π/2.

math:atan2[edit]
Signatures  math:atan2($arg1 as xs:double?, $arg2 as xs:double) as xs:double?

Summary  Returns the arc tangent of $arg1 divided by $arg2 , the result being in the range π/2 to +π/2 radians.If $arg1 is the empty sequence, the empty sequence is returned.Otherwise the result is the arc tangent of $arg1 divided by $arg2 , returned as an angle in radians in the range π to +π.

math:pow[edit]
Signatures  math:pow($arg1 as xs:double?, $arg2 as xs:double) as xs:double?

Summary  Returns $arg1 raised to the power of $arg2 .If $arg1 is the empty sequence, the empty sequence is returned.Otherwise the result is the $arg1 raised to the power of $arg2 .

Examples 

math:exp[edit]
Signatures  math:exp($arg as xs:double?) as xs:double?

Summary  Returns e raised to the power of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the value of e raised to the power of $arg .

Examples 

math:log[edit]
Signatures  math:log($arg as xs:double?) as xs:double?

Summary  Returns the natural logarithm of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the natural logarithm (base e) of $arg .

Examples 

math:log10[edit]
Signatures  math:log10($arg as xs:double?) as xs:double?

Summary  Returns the base 10 logarithm of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the base 10 logarithm of $arg .

Examples 

Additional Functions[edit]
math:e[edit]
Signatures  math:e() as xs:double

Summary  Returns the xs:double value of the mathematical constant e whose lexical representation is 2.718281828459045.

Examples 

math:sinh[edit]
Signatures  math:sinh($arg as xs:double?) as xs:double?

Summary  Returns the hyperbolic sine of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the hyperbolic sine of $arg .

Examples 

math:cosh[edit]
Signatures  math:cosh($arg as xs:double?) as xs:double?

Summary  Returns the hyperbolic cosine of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the hyperbolic cosine of $arg .

Examples 

math:tanh[edit]
Signatures  math:tanh($arg as xs:double?) as xs:double?

Summary  Returns the hyperbolic tangent of $arg .If $arg is the empty sequence, the empty sequence is returned.Otherwise the result is the hyperbolic tangent of $arg .

Examples 

math:crc32[edit]
Signatures  math:crc32($string as xs:string?) as xs:hexBinary? 
Summary  Calculates the CRC32 check sum of the given $string .If an empty sequence is supplied, the empty sequence is returned. 
Examples 

Changelog[edit]
 Version 9.1
 Updated: math:crc32 can be called with empty sequence.
 Version 7.5
 Moved: math:random and math:uuid have been moved to Random Module.
 Version 7.3
 Added: math:crc32 and math:uuid have been adopted from the obsolete Utility Module.