Difference between revisions of "Math Module"
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Revision as of 02:27, 24 January 2011
The math module defines XQuery 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 3.0 Recommendation.
Contents
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 $arg1 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 $arg1 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 $arg1 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 . |