//---------------------------------------------------------------------------
// Miranda Moore
// COS488/MAT474
// Problem Set 9, Q3
//---------------------------------------------------------------------------
// The command "java Supernecklace"
// plots the derivative of the supernecklace EGF.
//
// Dependencies: Complex.java, ComplexFunction.java, Plot2Dez.java
//---------------------------------------------------------------------------


public class Supernecklace implements ComplexFunction
{
    // The derivative of the supernecklace EGF
    public Complex eval(Complex z)
    {   // {1 \over (1-z)(1-ln(1/(1-z)))}
        Complex one = new Complex(1, 0);
        Complex a = one.minus(z);
        Complex b = a.times(one.minus((a.reciprocal()).log()));
        return b.reciprocal();
    }
    
   public static void main(String[] args)
   {
       Plot2Dez.show(new Supernecklace(), 512);
   }
}