Asinh(x)
Last updated November 29, 2001
Version: 1 | Requires: ColdFusion 5 | Library: MathLib
Description:
Returns the inverse hyberbolic sine of a value. All angles are expressed in radians.
Return Values:
Returns an angle in radians.
Example:
<CFOUTPUT>
Given x=0.5<BR>
The Asinh of #x# is: #Asinh(x)# radians
</CFOUTPUT>
Parameters:
| Name | Description | Required |
|---|---|---|
| x | Any real number. | Yes |
Full UDF Source:
<cfscript>
/**
* Returns the inverse hyberbolic sine 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 Asinh(x)
{
Var RetVal = 0;
Var Neg = False;
if (x EQ 0) {
RetVal = 0;
}
else {
if (X LT 0)
Neg = True;
x = Abs(x);
if (x GT 1.0e10)
RetVal = Log(2) + Log(X);
else {
RetVal = x^2;
RetVal = Log(x + RetVal / (1 + Sqr(1 + RetVal)) + 1);
}
if (Neg)
RetVal = -RetVal;
}
Return(RetVal);
}
</cfscript>
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