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.
math:pi
Signatures
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math:pi() as xs:double
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Summary
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Returns the value of the mathematical constant π.
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Rules
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This function returns the xs:double value whose lexical representation is 3.141592653589793.
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Examples
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The expression 2*math:pi() returns 6.283185307179586e0 . The expression 60 * (math:pi() div 180) converts an angle of 60 degrees to radians.
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math:e
Signatures
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math:e() as xs:double
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Summary
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Returns the value of the mathematical constant e.
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Rules
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This function returns the xs:double value whose lexical representation is 2.718281828459045.
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Examples
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The expression 5*math:e() returns 13.591409142295225 .
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math:sqrt
Signatures
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math:sqrt($arg as xs:double?) as xs:double?
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Summary
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Returns the square root of the argument.
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Rules
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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 $arg .
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math:sin
Signatures
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math:sin($arg as xs:double?) as xs:double?
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Summary
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Returns the sine of the argument, expressed in radians.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the sine of $arg , treated as an angle in radians.
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math:cos
Signatures
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math:cos($arg as xs:double?) as xs:double?
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Summary
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Returns the cosine of the argument, expressed in radians.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the cosine of $arg , treated as an angle in radians.
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math:tan
Signatures
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math:tan($ as xs:double?) as xs:double?
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Summary
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Returns the tangent of the argument, expressed in radians.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the tangent of $arg , treated as an angle in radians.
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math:asin
Signatures
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math:asin($arg as xs:double?) as xs:double?
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Summary
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Returns the arc sine of the argument.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the arc sine of $arg , returned as an angle in radians in the range -π/2 to +π/2.
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math:acos
Signatures
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math:acos($arg as xs:double?) as xs:double?
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Summary
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Returns the arc cosine of the argument.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the arc cosine of $arg , returned as an angle in radians in the range 0 to +π.
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math:atan
Signatures
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math:atan($arg as xs:double?) as xs:double?
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Summary
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Returns the arc tangent of the argument.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the arc tangent of $arg , returned as an angle in radians in the range -π/2 to +π/2.
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math:atan2
Signatures
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math:atan2($arg1 as xs:double?, $arg2 as xs:double?) as xs:double?
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Summary
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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.
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Rules
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If $arg1 is the empty sequence, the function returns the empty sequence. Otherwise the result is the arc tangent of $arg1 divided by $arg2 , returned as an angle in radians in the range -π to +π.
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math:pow
Signatures
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math:pow($arg1 as xs:double?, $arg2 as xs:double?) as xs:double?
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Summary
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Returns the first argument raised to the power of the second argument.
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Rules
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If $arg1 is the empty sequence, the function returns the empty sequence. Otherwise the result is the $arg1 raised to the power of $arg2 .
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Examples
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The expression math:pow(2, 3) returns 8 .
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math:exp
Signatures
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math:exp($arg as xs:double?) as xs:double?
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Summary
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Returns e raised to the power of the argument.
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Rules
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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 $arg .
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Examples
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The expression math:exp(1) returns e.
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math:log
Signatures
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math:log($arg as xs:double?) as xs:double?
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Summary
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Returns the natural logarithm of the argument.
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Rules
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If $arg1 is the empty sequence, the function returns the empty sequence. Otherwise the result is the natural logarithm (base e) of $arg .
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Examples
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The expression math:log(math:e()) returns 1 .
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math:log10
Signatures
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math:log10($arg as xs:double?) as xs:double?
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Summary
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Returns the base 10 logarithm of the argument.
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Rules
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If $arg1 is the empty sequence, the function returns the empty sequence. Otherwise the result is the base 10 logarithm of $arg .
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Examples
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The expression math:log(100) returns 2 .
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math:random
Signatures
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math:random() as xs:double?
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Summary
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Returns a random value.
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Rules
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This function returns a random xs:double value between 0.0 and 1.0 .
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math:sinh
Signatures
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math:sinh($arg as xs:double?) as xs:double?
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Summary
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Returns the hyperbolic sine of the argument.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the hyperbolic sine of $arg .
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Examples
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The expression math:sinh(0) returns 0 .
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math:cosh
Signatures
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math:cosh($arg as xs:double?) as xs:double?
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Summary
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Returns the hyperbolic cosine of the argument.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the hyperbolic cosine of $arg .
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Examples
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The expression math:cosh(0) returns 1 .
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math:tanh
Signatures
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math:tanh($arg as xs:double?) as xs:double?
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Summary
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Returns the hyperbolic tangent of the argument.
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Rules
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If $arg is the empty sequence, the function returns the empty sequence. Otherwise the result is the hyperbolic tangent of $arg .
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Examples
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The expression math:tanh(100) returns 1 .
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