CFLib.org – Common Function Library Project

Asech(x)

Last updated October 16, 2001

author

Rob Brooks-Bilson

Version: 1 | Requires: CF5 | Library: MathLib

Description:
Returns the inverse hyperbolic secant of a value. All angles are expressed in radians.

Return Values:
Returns a numeric value or string.

Example:

<CFSET x=1>
<CFSET y=2>
<CFOUTPUT>
Given x=#x#:<BR>
Given y=#y#<BR>
Asech(x)=#Asech(x)#<BR>
Asech(y)=#Asech(y)#<BR>
</CFOUTPUT>

Parameters:

Name Description Required
x 0 < x <= 1 Yes

Full UDF Source:

/**
 * Returns the inverse hyperbolic secant of a value.
 * 
 * @param x 	 0 < x <= 1 
 * @return Returns a numeric value or string. 
 * @author Rob Brooks-Bilson (rbils@amkor.com) 
 * @version 1, October 16, 2001 
 */
function Asech(x){
  if (x lte 0)
    return "undefined";
  else 
    if (x gt 1)
      return "undefined";
  else
    return Log((Sqr(-x*x+1)+1)/x);
}
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