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=Math Module=
<p>The math module defines extension functions to perform mathematical operations, such as <code>pi</code>, <code>asin</code> and <code>acos</code>. All functions are preceded by the <code>math:</code> prefix. Some of the functions have also been specified in the[http://www.w3.org/TR/xpath-functions-11/ Functions and Operators Specification] of the upcoming XQuery 1.1 Recommendation.</p>
==math:pi==
<table> <tr> <td width="90"> {| <b> | '''Signatures</b> ''' </td> <td> | <code> <b>'''math:pi</b>'''() as xs:double</code> <br /> |- </td> </tr> <tr> <td> <b> | '''Summary</b> </td> ''' <td> |Returns the value of the mathematical constant π.</td> </tr> |- <tr> <td> <b> | '''Rules</b> ''' </td> <td> |This function returns the <code>xs:double</code> value whose lexical representation is 3.141592653589793.<br /> </td> </tr> <tr> <td> |- <b> | '''Examples</b> ''' </td> <td> |The expression <code>2*math:pi()</code> returns <code>6.283185307179586e0</code>.<br />The expression <code>60 * (math:pi() div 180)</code> converts an angle of 60 degrees to radians.<br /> </td> </tr> </table> |}
==math:e==
<table> <tr> <td width="90"> {| <b>| '''Signatures</b> </td> <td> ''' | <code> <b>'''math:e</b>'''() as xs:double</code> <br /> |- </td> </tr> <tr> <td> <b>| '''Summary</b> </td> ''' <td>|Returns the value of the mathematical constant <i>e</i>.</td> </tr> <tr> <td> |- <b>| '''Rules</b> </td> ''' <td>|This function returns the <code>xs:double</code> value whose lexical representation is 2.718281828459045.<br /> </td> |- </tr> <tr> <td> <b>| '''Examples</b> ''' </td> <td>|The expression <code>5*math:e()</code> returns <code>13.591409142295225</code>.<br /> </td> </tr> </table> |}
==math:sqrt==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:sqrt</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> ''' </td> <td>|Returns the square root of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the <code>xs:double</code> value of the mathematical square root of <code>$arg</code>.<br /> </td> </tr> </table> |}
==math:sin==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:sin</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> ''' </td> <td>|Returns the sine of the argument, expressed in radians.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the sine of <code>$arg</code>, treated as an angle in radians.<br /> </td> </tr> </table> |}
==math:cos==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:cos</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> ''' </td> <td>|Returns the cosine of the argument, expressed in radians.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the cosine of <code>$arg</code>, treated as an angle in radians.<br /> </td> </tr> </table> |}
==math:tan==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:tan</b>'''($ as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> ''' </td> <td>|Returns the tangent of the argument, expressed in radians.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the tangent of <code>$arg</code>, treated as an angle in radians.<br /> </td> </tr> </table> |}
==math:asin==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:asin</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> |- <tr> <td> <b>|'''Summary</b> </td> ''' <td>|Returns the arc sine of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> ''' </td> <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the arc sine of <code>$arg</code>, returned as an angle in radians in the range -π/2 to +π/2.<br /> </td> </tr> </table> |}
==math:acos==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:acos</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> ''' </td> <td>|Returns the arc cosine of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the arc cosine of <code>$arg</code>, returned as an angle in radians in the range 0 to +π.<br /> </td> </tr> </table> |}
==math:atan==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:atan</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> |- <tr> <td> <b>|'''Summary</b> </td> ''' <td>|Returns the arc tangent of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> ''' </td> <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the arc tangent of <code>$arg</code>, returned as an angle in radians in the range -π/2 to +π/2.<br /> </td> </tr> </table> |}
==math:atan2==
<table> {| <tr> |- <td width="90"> <b>|'''Signatures</b> ''' </td> <td> | <code> <b>'''math:atan2</b>'''($arg1 as xs:double?, $arg2 as xs:double?) as xs:double?</code> <br /> </td> </tr> |- <tr> <td> <b>|'''Summary</b> </td> ''' <td>|Returns the arc tangent of the first argument divided by the second argument, the result being in the range -π/2 to +π/2 radians.</td> </tr> <tr> <td> |- <b>|'''Rules</b> ''' </td> <td>|If <code>$arg1</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the arc tangent of <code>$arg1</code> divided by <code>$arg2</code>, returned as an angle in radians in the range -π to +π.<br /> </td> </tr> </table> |}
==math:pow==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:pow</b>'''($arg1 as xs:double?, $arg2 as xs:double?) as xs:double?</code> <br /> </td> |- </tr> <tr> <td> <b>|'''Summary</b> ''' </td> <td>|Returns the first argument raised to the power of the second argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg1</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the <code>$arg1</code> raised to the power of <code>$arg2</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:pow(2, 3)</code> returns <code>8</code>.<br /> </td> </tr> </table> |}
==math:exp==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:exp</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> |- </tr> <tr> <td> <b>|'''Summary</b> ''' </td> <td>|Returns <i>e</i> raised to the power of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the value of <i>e</i> raised to the power of <code>$arg</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:exp(1)</code> returns <i>e</i>.<br /> </td> </tr> </table> |}
==math:log==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:log</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> </td> ''' <td>|Returns the natural logarithm of the argument.</td> </tr> |- <tr> <td> <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the natural logarithm (base <i>e</i>) of <code>$arg</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:log(math:e())</code> returns <code>1</code>.<br /> </td> </tr> </table> |}
==math:log10==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:log10</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> |- </tr> <tr> <td> <b>|'''Summary</b> ''' </td> <td>|Returns the base 10 logarithm of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the base 10 logarithm of <code>$arg</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:log(100)</code> returns <code>2</code>.<br /> </td> </tr> </table> |}
==math:random==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:random</b>'''() as xs:double?</code> <br /> </td> </tr> |- <tr> <td> <b>|'''Summary</b> </td> ''' <td>|Returns a random value.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|This function returns a random <code>xs:double</code> value between <code>0.0</code> and <code>1.0</code>.<br /> </td> </tr> </table> |}
==math:sinh==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:sinh</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> |- </tr> <tr> <td> <b>|'''Summary</b> ''' </td> <td>|Returns the hyperbolic sine of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the hyperbolic sine of <code>$arg</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:sinh(0)</code> returns <code>0</code>.<br /> </td> </tr> </table> |}
==math:cosh==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:cosh</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> |- </tr> <tr> <td> <b>|'''Summary</b> ''' </td> <td>|Returns the hyperbolic cosine of the argument.</td> </tr> <tr> <td> |- <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the hyperbolic cosine of <code>$arg</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:cosh(0)</code> returns <code>1</code>.<br /> </td> </tr> </table> |}
==math:tanh==
<table> {| <tr> <td width="90"> |- <b>|'''Signatures</b> </td> <td> ''' | <code> <b>'''math:tanh</b>'''($arg as xs:double?) as xs:double?</code> <br /> </td> </tr> <tr> <td> |- <b>|'''Summary</b> </td> ''' <td>|Returns the hyperbolic tangent of the argument.</td> </tr> |- <tr> <td> <b>|'''Rules</b> </td> ''' <td>|If <code>$arg</code> is the empty sequence, the function returns the empty sequence.<br />Otherwise the result is the hyperbolic tangent of <code>$arg</code>.<br /> </td> </tr> |- <tr> <td> <b>|'''Examples</b> </td> ''' <td>|The expression <code>math:tanh(100)</code> returns <code>1</code>.<br /> </td> </tr> </table> |}
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