Math Module - Revision history

CG at 13:59, 9 March 2023

2023-03-09T13:59:56Z

CG: Text replacement - "'''Signatures'''" to "'''Signature'''"

2023-03-09T13:07:57Z

Text replacement - "'''Signatures'''" to "'''Signature'''"

CG at 11:07, 9 March 2023

2023-03-09T11:07:20Z

Show changes

CG: Text replacement - "
" to "
"

2023-03-09T08:21:26Z

Text replacement - "<br />" to "<br/>"

CG at 18:51, 18 July 2022

2022-07-18T18:51:06Z

CG: Text replacement - "\[\[#([^]:]+:[^|]+)\|([^]:]+:[^|]+)\]\]" to "{{Function||$1}}"

2022-07-18T17:50:55Z

Text replacement - "\[\[#([^]:]+:[^|]+)\|([^]:]+:[^|]+)\]\]" to "{{Function||$1}}"

CG: Text replacement - "[http://www.w3.org/TR/xpath-functions-30" to "[https://www.w3.org/TR/xpath-functions-31"

2020-07-02T10:32:28Z

Text replacement - "[http://www.w3.org/TR/xpath-functions-30" to "[https://www.w3.org/TR/xpath-functions-31"

CG at 12:39, 16 April 2019

2019-04-16T12:39:39Z

CG: /* math:crc32 */

2018-06-08T10:14:49Z

math:crc32

CG: /* Additional Functions */

2018-06-08T10:12:20Z

Additional Functions

@@ Line 111: / Line 111: @@
 | width='120' | '''Signature'''
 |<pre>math:atan2(
-   $arg1  as xs:double?
+   $arg1  as xs:double?,
    $arg2  as xs:double
 ) as xs:double?</pre>
@@ Line 124: / Line 124: @@
 | width='120' | '''Signature'''
 |<pre>math:pow(
-   $arg1  as xs:double?
+   $arg1  as xs:double?,
    $arg2  as xs:double
 ) as xs:double?</pre>

@@ Line 10: / Line 10: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:pi() as xs:double</pre>
 |-
@@ Line 25: / Line 25: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:sqrt(
    $arg  as xs:double?
@@ Line 37: / Line 37: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:sin(
    $arg  as xs:double?
@@ Line 49: / Line 49: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:cos(
    $arg  as xs:double?
@@ Line 61: / Line 61: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:tan(
    $arg  as xs:double?
@@ Line 73: / Line 73: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:asin(
    $arg  as xs:double?
@@ Line 85: / Line 85: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:acos(
    $arg  as xs:double?
@@ Line 97: / Line 97: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:atan(
    $arg  as xs:double?
@@ Line 109: / Line 109: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:atan2(
    $arg1  as xs:double?
@@ Line 122: / Line 122: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:pow(
    $arg1  as xs:double?
@@ Line 139: / Line 139: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:exp(
    $arg  as xs:double?
@@ Line 155: / Line 155: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:log(
    $arg  as xs:double?
@@ Line 171: / Line 171: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:log10(
    $arg  as xs:double?
@@ Line 189: / Line 189: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:e() as xs:double</pre>
 |-
@@ Line 203: / Line 203: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:sinh(
    $arg  as xs:double?
@@ Line 219: / Line 219: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:cosh(
    $arg  as xs:double?
@@ Line 235: / Line 235: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:tanh(
    $arg  as xs:double?
@@ Line 252: / Line 252: @@
 {| width='100%'
 |-
-| width='120' | '''Signatures'''
+| width='120' | '''Signature'''
 |<pre>math:crc32(
    $string  as xs:string?

@@ Line 29: / Line 29: @@
 |-
 | '''Summary'''
-|Returns the square root of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the {{Code|xs:double}} value of the mathematical square root of {{Code|$arg}}.
+|Returns the square root of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the {{Code|xs:double}} value of the mathematical square root of {{Code|$arg}}.
 |}
@@ Line 39: / Line 39: @@
 |-
 | '''Summary'''
-|Returns the sine of the {{Code|$arg}}, expressed in radians.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the sine of {{Code|$arg}}, treated as an angle in radians.
+|Returns the sine of the {{Code|$arg}}, expressed in radians.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the sine of {{Code|$arg}}, treated as an angle in radians.
 |}
@@ Line 49: / Line 49: @@
 |-
 | '''Summary'''
-|Returns the cosine of {{Code|$arg}}, expressed in radians.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the cosine of {{Code|$arg}}, treated as an angle in radians.
+|Returns the cosine of {{Code|$arg}}, expressed in radians.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the cosine of {{Code|$arg}}, treated as an angle in radians.
 |}
@@ Line 59: / Line 59: @@
 |-
 | '''Summary'''
-|Returns the tangent of {{Code|$arg}}, expressed in radians.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the tangent of {{Code|$arg}}, treated as an angle in radians.
+|Returns the tangent of {{Code|$arg}}, expressed in radians.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the tangent of {{Code|$arg}}, treated as an angle in radians.
 |}
@@ Line 69: / Line 69: @@
 |-
 | '''Summary'''
-|Returns the arc sine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the arc sine of {{Code|$arg}}, returned as an angle in radians in the range -π/2 to +π/2.
+|Returns the arc sine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the arc sine of {{Code|$arg}}, returned as an angle in radians in the range -π/2 to +π/2.
 |}
@@ Line 79: / Line 79: @@
 |-
 | '''Summary'''
-|Returns the arc cosine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the arc cosine of {{Code|$arg}}, returned as an angle in radians in the range 0 to +π.
+|Returns the arc cosine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the arc cosine of {{Code|$arg}}, returned as an angle in radians in the range 0 to +π.
 |}
@@ Line 89: / Line 89: @@
 |-
 | '''Summary'''
-|Returns the arc tangent of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the arc tangent of {{Code|$arg}}, returned as an angle in radians in the range -π/2 to +π/2.
+|Returns the arc tangent of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the arc tangent of {{Code|$arg}}, returned as an angle in radians in the range -π/2 to +π/2.
 |}
@@ Line 99: / Line 99: @@
 |-
 | '''Summary'''
-|Returns the arc tangent of {{Code|$arg1}} divided by {{Code|$arg2}}, the result being in the range -π/2 to +π/2 radians.<br/>If {{Code|$arg1}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the arc tangent of {{Code|$arg1}} divided by {{Code|$arg2}}, returned as an angle in radians in the range -π to +π.
+|Returns the arc tangent of {{Code|$arg1}} divided by {{Code|$arg2}}, the result being in the range -π/2 to +π/2 radians.<br/>If {{Code|$arg1}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the arc tangent of {{Code|$arg1}} divided by {{Code|$arg2}}, returned as an angle in radians in the range -π to +π.
 |}
@@ Line 109: / Line 109: @@
 |-
 | '''Summary'''
-|Returns {{Code|$arg1}} raised to the power of {{Code|$arg2}}.<br/>If {{Code|$arg1}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the {{Code|$arg1}} raised to the power of {{Code|$arg2}}.
+|Returns {{Code|$arg1}} raised to the power of {{Code|$arg2}}.<br/>If {{Code|$arg1}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the {{Code|$arg1}} raised to the power of {{Code|$arg2}}.
 |-
 | '''Examples'''
@@ Line 123: / Line 123: @@
 |-
 | '''Summary'''
-|Returns <i>e</i> raised to the power of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the value of <i>e</i> raised to the power of {{Code|$arg}}.
+|Returns <i>e</i> raised to the power of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the value of <i>e</i> raised to the power of {{Code|$arg}}.
 |-
 | '''Examples'''
@@ Line 137: / Line 137: @@
 |-
 | '''Summary'''
-|Returns the natural logarithm of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the natural logarithm (base <i>e</i>) of {{Code|$arg}}.
+|Returns the natural logarithm of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the natural logarithm (base <i>e</i>) of {{Code|$arg}}.
 |-
 | '''Examples'''
@@ Line 151: / Line 151: @@
 |-
 | '''Summary'''
-|Returns the base 10 logarithm of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the base 10 logarithm of {{Code|$arg}}.
+|Returns the base 10 logarithm of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the base 10 logarithm of {{Code|$arg}}.
 |-
 | '''Examples'''
@@ Line 181: / Line 181: @@
 |-
 | '''Summary'''
-|Returns the hyperbolic sine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the hyperbolic sine of {{Code|$arg}}.
+|Returns the hyperbolic sine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the hyperbolic sine of {{Code|$arg}}.
 |-
 | '''Examples'''
@@ Line 195: / Line 195: @@
 |-
 | '''Summary'''
-|Returns the hyperbolic cosine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the hyperbolic cosine of {{Code|$arg}}.
+|Returns the hyperbolic cosine of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the hyperbolic cosine of {{Code|$arg}}.
 |-
 | '''Examples'''
@@ Line 209: / Line 209: @@
 |-
 | '''Summary'''
-|Returns the hyperbolic tangent of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br />Otherwise the result is the hyperbolic tangent of {{Code|$arg}}.
+|Returns the hyperbolic tangent of {{Code|$arg}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.<br/>Otherwise the result is the hyperbolic tangent of {{Code|$arg}}.
 |-
 | '''Examples'''
@@ Line 221: / Line 221: @@
 |-
 | width='120' | '''Signatures'''
-|{{Func|math:crc32|$string as xs:string?|xs:hexBinary?}}<br />
+|{{Func|math:crc32|$string as xs:string?|xs:hexBinary?}}<br/>
 |-
 | '''Summary'''

@@ Line 238: / Line 238: @@
 ; Version 7.5
-* Moved: [[Random Module#random:integer|math:random]] and [[Random Module#random:uuid|math:uuid]] have been moved to [[Random Module]].
+* Moved: {{Code|math:random}} and {{Code|math:uuid}} have been moved to the [[Random Module]].
 ; Version 7.3
-* Added: {{Function||math:crc32}} and [[Random Module#random:uuid|math:uuid]] have been adopted from the obsolete Utility Module.
+* Added: {{Function||math:crc32}} and {{Function||math:uuid}} have been adopted from the obsolete Utility Module.

@@ Line 235: / Line 235: @@
 ; Version 9.1
-* Updated: [[#math:crc32|math:crc32]] can be called with empty sequence.
+* Updated: {{Function||math:crc32}} can be called with empty sequence.
 ; Version 7.5
@@ Line 241: / Line 241: @@
 ; Version 7.3
-* Added: [[#math:crc32|math:crc32]] and [[Random Module#random:uuid|math:uuid]] have been adopted from the obsolete Utility Module.
+* Added: {{Function||math:crc32}} and [[Random Module#random:uuid|math:uuid]] have been adopted from the obsolete Utility Module.

← Older revision		Revision as of 10:32, 2 July 2020
Line 1:		Line 1:
−	The math [[Module Library\|XQuery Module]] defines functions to perform mathematical operations, such as {{Code\|pi}}, {{Code\|asin}} and {{Code\|acos}}. Most functions are specified in the [~~http~~://www.w3.org/TR/xpath-functions-30/ Functions and Operators Specification] of the upcoming XQuery 3.0 Recommendation, and some additional ones have been added in this module.	+	The math [[Module Library\|XQuery Module]] defines functions to perform mathematical operations, such as {{Code\|pi}}, {{Code\|asin}} and {{Code\|acos}}. Most functions are specified in the [https://www.w3.org/TR/xpath-functions-31/ Functions and Operators Specification] of the upcoming XQuery 3.0 Recommendation, and some additional ones have been added in this module.

	=Conventions=		=Conventions=

← Older revision		Revision as of 12:39, 16 April 2019
Line 217:		Line 217:

	==math:crc32==		==math:crc32==
−
−	~~{{Mark\|Updated with Version 9.1:}} support for empty sequence.~~

	{\| width='100%'		{\| width='100%'

@@ Line 223: / Line 223: @@
 |-
 | width='120' | '''Signatures'''
-|{{Func|math:crc32|$str as xs:string?|xs:hexBinary}}<br />
+|{{Func|math:crc32|$string as xs:string?|xs:hexBinary}}<br />
 |-
 | '''Summary'''
-|Calculates the CRC32 check sum of the given string {{Code|$str}}.<br/>If {{Code|$arg}} is the empty sequence, the empty sequence is returned.
+|Calculates the CRC32 check sum of the given {{Code|$string}}.<br/>If an empty sequence is supplied, the empty sequence is returned.
 |-
 | '''Examples'''