Question

Factory of Complex Numbers A complex number can be expressed in the form of either a vector (x, y) or a polar (r.)! a) Design and implement a factory that can be used to create instances of complex numbers where some clients would heavily manipulate the complex number in the vector form while other clients would heavily manipulate the complex number in the polar form b) Draw the class model of your program. c) Design and implement four test cases to validate your program d) Comment on the maintainability and performance of your design. [1] Consider the following simplified conversions: r=sqrt(x2+y?), q=arctan(y/x),x=r cos(Q), y=r sin() in java please

Answer 1

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public class ComplexNumber {
   private double x;// store x
   private double y;// store y
   private double r;// store r
   private double angle;// store angle
  
  
   // default constructor
   public ComplexNumber(){
       this.setX(0);
       this.setY(0);
       this.setR(0);
       this.setAngle(0);
   }
  
   // constructor with arguments
   // _b false mean taking vector
   // _b true mean taking poler
  
   public ComplexNumber(double _x,double _y,boolean _b){
       if(_b==false){
           this.setX(_x);
           this.setY(_y);
          
           // create poler form
           this.setR(Math.sqrt(_x*_x+_y*_y));
          
           this.setAngle(Math.atan2(_y,_x));
       }
       else{
           // create vector form
           this.setX(_x*Math.cos(_y));
           this.setY(_x*Math.sin(_y));
          
           this.setR(_x);
          
           // reset angle

           this.setAngle(Math.atan2(this.getY(),this.getX()));
       }
   }

   // return vector form
   public String vectorForm(){return("["+this.x+","+this.y+"]");}
  
   // return poler form
   public String polerForm(){return("("+this.r+","+this.angle+")");}
  
  
   // getter and setter methods
   public double getX() {
       return x;
   }

   public void setX(double x) {
       this.x = x;
   }

   public double getY() {
       return y;
   }

   public void setY(double y) {
       this.y = y;
   }

   public double getR() {
       return r;
   }

   public void setR(double r) {
       this.r = r;
   }

   public double getAngle() {
       return angle;
   }

   public void setAngle(double angle) {
       this.angle = angle;
   }
  
}

////////////////////////

public class Driver {
   public static void main(String [] args){
       ComplexNumber comNum1=new ComplexNumber(3,4,false);
       ComplexNumber comNum2=new ComplexNumber(10,2.7456,true);
      
       double angleComNum1=comNum1.getAngle();
       double rComNum1=comNum1.getR();
      
       ///// test case 1
       if(Math.abs(comNum1.getX()-rComNum1*Math.cos(angleComNum1))<0.00001){
           System.out.println("TestCase 1 pass");
       }
       else{
           System.out.println("TestCase 1 fail");
       }
      
      
       ///// test case 2
       if(Math.abs(comNum1.getY()-rComNum1*Math.sin(angleComNum1))<0.00001){
           System.out.println("TestCase 2 pass");
       }
       else{
           System.out.println("TestCase 2 fail");
       }
      
      
       double xComNum2=comNum2.getX();
       double yComNum2=comNum2.getY();
      
      
      
       ///// test case 3
       if(Math.abs(comNum2.getAngle()-Math.atan2(yComNum2,xComNum2))<0.00001){
           System.out.println("TestCase 3 pass");
       }
       else{
           System.out.println("TestCase 3 fail"+Math.atan2(yComNum2,xComNum2));
       }
      
      
       ///// test case 4
       if(Math.abs(comNum2.getR()-Math.sqrt(Math.pow(xComNum2,2)+Math.pow(yComNum2,2)))<0.00001){
           System.out.println("TestCase 4 pass");
       }
       else{
           System.out.println("TestCase 4 fail");
       }
      
      
       System.out.println("");
       System.out.println("");
      
       System.out.println("Vector form of comNum1 : "+comNum1.vectorForm());
       System.out.println("Poler form of comNum1 : "+comNum1.polerForm());
       System.out.println("Vector form of comNum1 : "+comNum2.vectorForm());
       System.out.println("Poler form of comNum1 : "+comNum2.polerForm());
   }
}

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Test Case 1 pass Test Case 2 pass Test Case 3 pass Test Case 4 pass Vector form of comNumi : (3.0, 4.0] Poler form of comNumi : (5.0,0.9272952180016122) Vector form of comNum1 : (-9.22614128453406,3.857242149232556] Poler form of comNumi : (10.0,2.7456)