/**
 * A complex number with a real and imaginary part
 * 
 * @author Phill Conrad
 * @version lab04 for CS10, Spring 2009 
 */
public class Complex
{
   private double real;
   private double imag;
      
    /**
     * noarg Constructor for objects of class Complex
     */
    public Complex()
    {
      real = 0;
      imag = 0;
    }

  
     /**
     * Two-arg Constructor for objects of class Complex
     * @param realPart real part
     * @param imagPart imaginary part
     */
  
    public Complex(double realPart, double imagPart)
    {
      real = realPart;
      imag = imagPart;
    }
    
    /**
     * get the real part
     * @return real part
     */

    public double getReal() { return real;}
    
    /**
     * get the imaginary part
     * @return imaginary part
     */
    
    public double getImag() { return imag;}
    

    /** format Complex number as an expression like:
     *  2.0 + 3.0i, 2.5 + 0.0i, 0.0 + 0.0i, or -3.33 + -1.5i
     *  
     *  @return formatted complex number (e.g. 2.0 + 3.0i)
     */
    
    public String toString()
    {
     return real + " + " + imag + "i";   
    }

    /** static method to add two complex numbers
     * 
     * @param c1 a complex number
     * @param c2 a complex number
     * @return c1 + c2
     */
    public static Complex add(Complex c1, Complex c2) 
    {
       // @@@ First, consult the testAdd1 and testAdd2 methods in ComplexTest
       //  to review how we add complex numbers
       
       // @@@ Then, FILL IN THE BLANKS then uncomment this code 
       // double first = c1._______   + c2.__________ ;
       // double last =  __________   + _____________ ;
       
       // return new Complex(first, last);
        
       return new Complex(-99.9, -99.9); // @@@ stub -- remove when done 
    }
    /** static method to multiply two complex numbers
     * 
     * @param c1 a complex number
     * @param c2 a complex number
     * @return c1 * c2
     */

    public static Complex multiply(Complex c1, Complex c2) 
    {
       
       // @@@ First, consult the testAdd1 and testAdd2 methods in ComplexTest
       //  to review how we add complex numbers
       
       // @@@ Then, FILL IN THE BLANKS then uncomment this code 

       //double first = __________________ ;
       //double outer = __________________ ;
       //double inner = __________________;
       //double last = ____________________; 
       
       //return new Complex(_________, ____________);

        
        
       return new Complex(-99.9, -99.9); // @@@ stub -- remove when done 
        
    }
    
    /** compare two Complex numbers for equality---if the difference in the
     * real part and the difference in the imaginary part of "this" object and
     * the c2 object it is being compared with are BOTH less than tol,
     * return true.   For example, we can write:
     *   <pre>if (c1.equals(c2,TOL)) { System.out.println("equal"); }</pre>
     * 
     * @param c2 a complex number
     * @param tol the tolerance with which the corresponding real and imag parts of this
     *      object and c2 are compared
     * @return true if c1 and c2 are approximately equal
     */
     
    public boolean approxEquals(Complex c2, double tol)
    {
        return Math.abs(this.real - c2.real) < tol &&
              Math.abs(this.imag- c2.imag) < tol;
        
    }
     
}