// by Tim Ratigan
// plots magnitude of EGF for bitstrings not containing the pattern
// 0000000001

public class Bitstring1 implements ComplexFunction {
    public Complex power(Complex z, int n) {
        Complex d = z;
        for (int i = 0; i < n; i++) {
            d = d.times(z);
        }
        return d;
    }
    
    public Complex eval(Complex z) { // \frac{1}{z^{10}-2z+1}
        Complex one = new Complex(1, 0);
        Complex d = power(z,10).minus(z.plus(z)).plus(one);
        return d.reciprocal();
    }

    public static void main(String[] args) {
        Plot2Dez.show(new Bitstring1(), 512);
    }
}