package com.imsl.test.example.math;

import com.imsl.math.*;

/**
 * <p>
 * Finds the zeros of a polynomial with complex coefficients. </p>
 *
 * This example solves the following equation:
 * $$z^3-(3+6i)*z^2+(-8+12i)*z+10=0$$
 *
 * @see <a href="ZeroPolynomialEx2.java">Code</a>
 * @see <a href ="doc-files/ZeroPolynomialEx2.out">Output</a>
 */
public class ZeroPolynomialEx2 {

    public static void main(String args[]) throws
            ZeroPolynomial.DidNotConvergeException {
        // Find zeros of z^3-(3+6i)*z^2+(-8+12i)*z+10
        Complex coef[] = {
            new Complex(10),
            new Complex(-8, 12),
            new Complex(-3, -6),
            new Complex(1)
        };

        ZeroPolynomial zp = new ZeroPolynomial();
        Complex root[] = zp.computeRoots(coef);

        for (int k = 0; k < root.length; k++) {
            System.out.println("root = " + root[k]);
            System.out.println("    radius = " + zp.getRadius(k));
            System.out.println("    status = " + zp.getStatus(k));
        }
    }
}