Complex.java in programe

Complex.java

public class Complex

 {

    private final double re;  

    private final double im;  

             public Complex(double real, double imag)

  {

        re = real;

        im = imag;

    }

    public String toString()

    {

        if (im == 0) return re + "";

        if (re == 0) return im + "i";

        if (im <  0) return re + " - " + (-im) + "i";

        return re + " + " + im + "i";

      }

                          public double abs()   { return Math.hypot(re, im); } 

             public double phase() { return Math.atan2(im, re); } 

             public Complex plus(Complex b)

            {

              Complex a = this;            

              double real = a.re + b.re;

              double imag = a.im + b.im;

               return new Complex(real, imag);

              }

                public Complex minus(Complex b)

                 {

        Complex a = this;

        double real = a.re - b.re;

        double imag = a.im - b.im;

        return new Complex(real, imag);

    }

    public Complex times(Complex b)

   {

        Complex a = this;

        double real = a.re * b.re - a.im * b.im;

        double imag = a.re * b.im + a.im * b.re;

        return new Complex(real, imag);

    }

               public Complex times(double alpha)

                {

        return new Complex(alpha * re, alpha * im);

    }

               public Complex conjugate() {  return new Complex(re, -im); }

   

    public Complex reciprocal()

    {

        double scale = re*re + im*im;

        return new Complex(re / scale, -im / scale);

    }

 

    public double re() { return re; }

    public double im() { return im; }

    public Complex divides(Complex b)

   {

        Complex a = this;

        return a.times(b.reciprocal());

    }

    public Complex exp()

    {

        return new Complex(Math.exp(re) * Math.cos(im), Math.exp(re) * Math.sin(im));

    }

    public Complex sin()

    {

        return new Complex(Math.sin(re) * Math.cosh(im), Math.cos(re) * Math.sinh(im));

    }

        public Complex cos()

  {

        return new Complex(Math.cos(re) * Math.cosh(im), -Math.sin(re) * Math.sinh(im));

    }

        public Complex tan()

        {

        return sin().divides(cos());

        }

   

                public static Complex plus(Complex a, Complex b)

                 {

        double real = a.re + b.re;

        double imag = a.im + b.im;

        Complex sum = new Complex(real, imag);

        return sum;

    }

                public static void main(String[] args)

                {

        Complex a = new Complex(5.0, 6.0);

        Complex b = new Complex(-3.0, 4.0);

        System.out.println("a            = " + a);

        System.out.println("b            = " + b);

        System.out.println("Re(a)        = " + a.re());

        System.out.println("Im(a)        = " + a.im());

        System.out.println("b + a        = " + b.plus(a));

        System.out.println("a - b        = " + a.minus(b));

        System.out.println("a * b        = " + a.times(b));

        System.out.println("b * a        = " + b.times(a));

        System.out.println("a / b        = " + a.divides(b));

        System.out.println("(a / b) * b  = " + a.divides(b).times(b));

        System.out.println("conj(a)      = " + a.conjugate());

        System.out.println("|a|          = " + a.abs());

        System.out.println("tan(a)       = " + a.tan());

    }

}