CFLib.org – Common Function Library Project

Description:
This function calculates the real number representing the absolute value of a complex number, where the complex number is a structure created earlier using the ComplexNum() UDF. If the real and imaginary parts of the number are the horizontal and vertical sides of a right triangle, the absolute value is the hypotenuse.

Return Values:
Returns a numeric value.

Example:

<cfoutput>
    | 3+4i | = #ComplexNumAbs(ComplexNum(3,4))#
</cfoutput>

Parameters:

Full UDF Source:

/**
 * Absolute value |z| of a complex number.
 * Note that this function uses complex numbers stored as structures by the ComplexNum() UDF also available in this library.
 * 
 * @param ComplexNumber      Structure containing the complex number you want the absolute value for. 
 * @return Returns a numeric value. 
 * @author Matthew Walker (matthew@electricsheep.co.nz) 
 * @version 1, November 15, 2001 
 */
function ComplexNumAbs(ComplexNumber){
  return Sqr(ComplexNumber.R^2 + ComplexNumber.I^2);
}