Complex Number Class

/* Name: Christopher Watkins
 * Date: 2/23/17
 * Course Number: CSC-112
 * Course Name: Intermediate Java
 * Problem Number: Complex number Class
 * Email: cmwatkins@student.stcc.edu
 * Implement a basic idea of complex numbers in Java
*/

public class Complex {

    private double real = 0;
    private double imag = 0;

    /** Operations */

    public Complex add(Complex c){
        return new Complex(this.real+c.real,this.imag+c.imag);
    }

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

    public Complex multiply(Complex c){
        return new Complex((c.real * this.real) - (c.imag * this.imag),(c.real * this.imag) + (this.real * c.imag));
    }

    public Complex divide(Complex c){
        /** Removing 'i' from the denominator */

        Complex numerator = new Complex((this.real*c.real)+(this.imag*c.imag),(c.real * this.imag) + (this.real * c.imag));
        double denom = (c.real*c.real) + (c.imag*c.imag);

        /** The actual Division */
        return new Complex(numerator.real/denom,numerator.imag/denom);
    }

    public double abs(){
        return Math.sqrt(Math.pow(this.real,2)+Math.pow(this.imag,2));
    }

    public Complex negate(){
        return new Complex(this.real * -1,this.imag * -1);
    }

    public Complex conjugate(){
        return new Complex(this.real,this.imag * -1);

    }

    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){
        if(distance(this) == distance(c))
            return true;
        return false;
    }

    public boolean greaterThan(Complex c){
        Complex origin = new Complex();
        // Checks distance between each Complex number and 0,0 then compares
        if(Math.sqrt(Math.pow(this.real - origin.real,2) + Math.pow(this.imag - origin.imag,2)) > Math.sqrt(Math.pow(origin.real - c.real,2) + Math.pow(origin.imag - c.imag,2)))
            return true;
        return false;
    }

    public boolean lessThan(Complex c){
        Complex origin = new Complex();
        // Checks distance between each Complex number and 0,0 then compares
        if(Math.sqrt(Math.pow(this.real - origin.real,2) + Math.pow(this.imag - origin.imag,2)) < Math.sqrt(Math.pow(origin.real - c.real,2) + Math.pow(origin.imag - c.imag,2)))
            return true;
        return false;
    }

    /** Basic Constructors */

    public Complex(){
        this(0);
    }

    public Complex(double real){
        this(real,0);
    }

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

    /** Print Out */

    @Override
    public String toString() {
        return this.real + " + " + this.imag + " i";
    }
}