Natour, O. 2/19/16 Csc-112 Complex numbers

/*
 * Omar Natour
 * 2/19/16
 * Csc-112
 * Intro to Java
 * Implementing Complex Numbers p1
 * Ojnatour0001@student.stcc.edu or natour@cs.stcc.edu
 * Implement support for imaginary numbers through the use of objects and classes.
 */

public class Complex { // decleration of doubles and constructors.

    private double real;
    private double imag;

    public Complex(double r, double i) {
        this.real = r;
        this.imag = i;
    }

    public Complex(double r) {
        this.real = r;
        this.imag = 0;
    }

    public Complex() {
        this.real = 0;
        this.imag = 0;
    }

    //this is where the regex constructor would go... I guess that means no java parties for me.

    /////////////////////////////////////////////////////////////////////////////////////////
    // public methods to manipulate the complex numbers.

    public Complex add(Complex c) {
        double r = this.real + c.real;
        double i = this.imag + c.imag;

        return new Complex(r, i);
    }

    public Complex subtract(Complex c) {
        double r = this.real - c.real;
        double i = this.imag - c.imag;

        return new Complex(r, i);
    }

    public Complex multiply(Complex c) {
        double r = (this.real * c.real) - (this.imag * c.imag);
        double i = (this.real * c.imag) + (this.imag * c.real);

        return new Complex(r, i);
    }

    public Complex divide(Complex c) {
        double r0 = (this.real * c.real) + (this.imag * c.imag);
        double r1 = ((c.real * c.real) + (c.imag * c.imag));
        double i0 = (this.imag * c.real) - (this.real * c.imag);
        double i1 = ((c.real * c.real) + (c.imag * c.imag));

        double r = r0 / r1;
        double i = i0 / i1;

        return new Complex(r, i);
    }

    public double abs() {
        return (Math.sqrt((this.real * this.real) + (this.imag * this.imag)));
    }

    public Complex negate() {
        double r = -1 * (this.real);
        double i = -1 * (this.imag);

        return new Complex(r, i);
    }

    public Complex conjugate() {
        return new Complex(this.real, -this.imag);
    }

    public double distance(Complex c) {
        return Math.sqrt(Math.pow(this.real - c.real, 2) + Math.pow(this.imag - c.imag, 2));
    }

    public boolean equals(Complex c) {
        double e;
        double d = this.distance(c);
        double abs1 = this.abs();
        double abs2 = c.abs();

        if (abs1 > abs2)
            e = d / abs1;
        else
            e = d / abs2;

        if (e < .000001)
            return true;
        return false;
    }

    public boolean greaterThan(Complex c) {
        double d0 = this.abs();
        double d1 = c.abs();

        if (d0 > d1)
            return true;
        return false;
    }

    public boolean lessThan(Complex c) {
        double d0 = this.abs();
        double d1 = c.abs();

        if (d0 < d1)
            return true;
        return false;
    }

    public String toString(Complex c) {
        double r = this.real;
        double i = this.imag;

        return (Double.toString(r) + " + " + Double.toString(i) + "i");
    }
}