Math Module

Math Module

The math module defines extension functions to perform mathematical operations, such as pi, asin and acos. All functions are preceded by the math: prefix. Some of the functions have also been specified in the Functions and Operators Specification of the upcoming XQuery 1.1 Recommendation.

math:pi

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

math:e

Signatures	math:e() as xs:double
Summary	Returns the value of the mathematical constant e.
Rules	This function returns the xs:double value whose lexical representation is 2.718281828459045.
Examples	The expression 5*math:e() returns 13.591409142295225.

math:sqrt

Signatures	math:sqrt($arg as xs:double?) as xs:double?
Summary	Returns the square root of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the xs:double value of the mathematical square root of $arg.

math:sin

Signatures	math:sin($arg as xs:double?) as xs:double?
Summary	Returns the sine of the argument, expressed in radians.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the sine of $arg, treated as an angle in radians.

math:cos

Signatures	math:cos($arg as xs:double?) as xs:double?
Summary	Returns the cosine of the argument, expressed in radians.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the cosine of $arg, treated as an angle in radians.

math:tan

Signatures	math:tan($ as xs:double?) as xs:double?
Summary	Returns the tangent of the argument, expressed in radians.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the tangent of $arg, treated as an angle in radians.

math:asin

Signatures	math:asin($arg as xs:double?) as xs:double?
Summary	Returns the arc sine of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. 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

Signatures	math:acos($arg as xs:double?) as xs:double?
Summary	Returns the arc cosine of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the arc cosine of $arg, returned as an angle in radians in the range 0 to +π.

math:atan

Signatures	math:atan($arg as xs:double?) as xs:double?
Summary	Returns the arc tangent of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. 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

Signatures	math:atan2($arg1 as xs:double?, $arg2 as xs:double?) as xs:double?
Summary	Returns the arc tangent of the first argument divided by the second argument, the result being in the range -π/2 to +π/2 radians.
Rules	If $arg1 is the empty sequence, the function returns the empty sequence. 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

Signatures	math:pow($arg1 as xs:double?, $arg2 as xs:double?) as xs:double?
Summary	Returns the first argument raised to the power of the second argument.
Rules	If $arg1 is the empty sequence, the function returns the empty sequence. Otherwise the result is the $arg1 raised to the power of $arg2.
Examples	The expression math:pow(2, 3) returns 8.

math:exp

Signatures	math:exp($arg as xs:double?) as xs:double?
Summary	Returns e raised to the power of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the value of e raised to the power of $arg.
Examples	The expression math:exp(1) returns e.

math:log

Signatures	math:log($arg as xs:double?) as xs:double?
Summary	Returns the natural logarithm of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the natural logarithm (base e) of $arg.
Examples	The expression math:log(math:e()) returns 1.

math:log10

Signatures	math:log10($arg as xs:double?) as xs:double?
Summary	Returns the base 10 logarithm of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the base 10 logarithm of $arg.
Examples	The expression math:log(100) returns 2.

math:random

Signatures	math:random() as xs:double?
Summary	Returns a random value.
Rules	This function returns a random xs:double value between 0.0 and 1.0.

math:sinh

Signatures	math:sinh($arg as xs:double?) as xs:double?
Summary	Returns the hyperbolic sine of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the hyperbolic sine of $arg.
Examples	The expression math:sinh(0) returns 0.

math:cosh

Signatures	math:cosh($arg as xs:double?) as xs:double?
Summary	Returns the hyperbolic cosine of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the hyperbolic cosine of $arg.
Examples	The expression math:cosh(0) returns 1.

math:tanh

Signatures	math:tanh($arg as xs:double?) as xs:double?
Summary	Returns the hyperbolic tangent of the argument.
Rules	If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the hyperbolic tangent of $arg.
Examples	The expression math:tanh(100) returns 1.

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