Math Module

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

All functions in this module are assigned to the http://www.w3.org/2005/xpath-functions/math namespace, which is statically bound to the math prefix.

W3 Functions

math:pi

Signature	math:pi() as xs:double
Summary	Returns the xs:double value of the mathematical constant π whose lexical representation is 3.141592653589793.
Examples	2*math:pi() returns 6.283185307179586e0. 60 * (math:pi() div 180) converts an angle of 60 degrees to radians.

math:sqrt

Signature	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

Signature	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

Signature	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

Signature	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

Signature	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

Signature	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

Signature	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

Signature	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

Signature	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:pow(2, 3) returns 8.

math:exp

Signature	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:exp(1) returns e.

math:log

Signature	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:log(math:e()) returns 1.

math:log10

Signature	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	math:log(100) returns 2.

Additional Functions

math:e

Signature	math:e() as xs:double
Summary	Returns the xs:double value of the mathematical constant e whose lexical representation is 2.718281828459045.
Examples	5*math:e() returns 13.591409142295225.

math:sinh

Signature	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:sinh(0) returns 0.

math:cosh

Signature	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:cosh(0) returns 1.

math:tanh

Signature	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:tanh(100) returns 1.

math:crc32

Signature	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	math:crc32("") returns '00000000'. math:crc32("BaseX") returns '4C06FC7F'.

Changelog

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 the Random Module.

Version 7.3

• Added: math:crc32 and math:uuid have been adopted from the obsolete Utility Module.