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Quadratic(a, b, c)

Last updated July 18, 2001

author

Joel Cox

Version: 1 | Requires: CF5 | Library: MathLib

Description:
Returns a structure containing the two real roots of a polynomial in the form: ax^2 + bx + c = 0

Return Values:
Returns a structure.

Example:

<CFSET a = 1>
  <CFSET b = -3>
  <CFSET c = -4>
  <CFSET Quadratic=#Quadratic(a, b, c)#> 

  <CFOUTPUT>
  Given a = 1, b = -3, c = -4
  The first root is #Quadratic.Root1#
  The second root is #Quadratic.Root2#
  </CFOUTPUT> 

<P>
Here's the Quadratic structure:
<P>
<CFDUMP VAR="#Quadratic#">

Parameters:

Name Description Required
a Coefficient of x^2 term Yes
b Coefficient of x term Yes
c Constant Yes

Full UDF Source:

/**
 * Returns the two real roots of a polynomial in the form: ax^2 + bx + c = 0
 * 
 * @param a 	 Coefficient of x^2 term 
 * @param b 	 Coefficient of x term 
 * @param c 	 Constant 
 * @return Returns a structure. 
 * @author Joel Cox (jlcox@goodyear.com) 
 * @version 1, July 18, 2001 
 */
function Quadratic(a, b, c)
{
  Var mRoots = StructNew();
  Var first = 0;
  Var second = 0;
  Var denom = 2 * a;
  Var arg1 = b^2 - 4 * a * c;
  if (arg1 LT 0) {
    mRoots["Root1"] = "not real";
  	mRoots["Root2"] = "not real";
  }
  else {   
  	first = -b / denom;
  	second = Sqr(arg1) / denom;
  	mRoots["Root1"] = first + second;
  	mRoots["Root2"] = first - second; 
  }
  Return mRoots;
}
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