CFLib.org – Common Function Library Project

Acosh(x)

Last updated November 29, 2001
Download UDF

author

Joel Cox                                          Joel Cox

Version: 1 | Requires: ColdFusion 5 | Library: MathLib

Description:
Returns the inverse hyberbolic cosine of a value. All angles are expressed in radians.

Return Values:
Returns an angle in radians.

Example:

<CFSET x=1.5>
<CFOUTPUT>
Given x=1.5<BR>
The Acosh of #x# is: #Acosh(x)# radians
</CFOUTPUT>

Parameters:

Name Description Required
x Any real number. Yes

Full UDF Source:

<cfscript>
/**
* Returns the inverse hyperbolic cosine of a value.
*
* @param x      Any real number.
* @return Returns an angle in radians.
* @author Joel Cox (jlcox@goodyear.com)
* @version 1, November 29, 2001
*/

function Acosh(x)
{
Var RetVal = 0;
if (x LTE 1.0)
RetVal = 0.0;
else if (x GTE 1.0e10)
RetVal = Log(2) + Log(x);
else
RetVal = Log(x + Sqr((x - 1.0) * (x + 1.0)));
Return(RetVal);
}
</cfscript>

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