public class Point{
	private double _radius;
	private double _alpha;
	private final double DEFAULT_VAL=0;
	public Point(double x,double y){
	    if(y<DEFAULT_VAL){
	        _alpha=0;}
	      double alpha=Math.atan(y/x);
	      _alpha=Math.round(alpha*10000)/(double)10000;
	      double radius=Math.sqrt(Math.pow(x,2)+Math.pow(y,2));
	      _radius=Math.round(radius*10000)/(double)10000;


	  }
	public Point(Point other){
		_radius=other._radius;
		_alpha=other._alpha;
	}
	public double getX(){
      double p=Math.cos(_alpha)*_radius;
    return Math.round(p*10000)/(double)10000;
	}
	public double getY(){
        double p=Math.sin(_alpha)*_radius;
        return Math.round(p*10000)/(double)10000;
    }
	public void setX(double num){
	    double y=getY();

	  if(num>DEFAULT_VAL && y>DEFAULT_VAL){
	   //double radius=getRadius(num,getY());
	   _radius=getRadius(num,y);
	   //double alpha=getAlpha(num,getY());
	   _alpha=getAlpha(num,y);
	   }
      }

	public void setY(double num){
	    double x=getX();
	    if(num>DEFAULT_VAL){
	    //double radius=getRadius(getX(),num);
	    _radius=getRadius(x,num);
	    //double alpha=getAlpha(getX(),num);
	    _alpha=getAlpha(x,num);}
	}
	public String toString(){
		return "("+_radius+","+_alpha+")";
	}
	public boolean equals(Point other){
		return  this.getY()==other.getY() && this.getX()==other.getX();


	}
	public boolean isAbove(Point other){
		 return(this.getY()>other.getY());
	}

	public boolean isUnder(Point other){
		return other.isAbove(this);
	}
	public boolean isLeft(Point other){
		return (this.getX()<other.getX());
	}
	public boolean isRight(Point other){
		return other.isLeft(this);
	}
	public double distance(Point p){
		double d;
		 d=Math.sqrt(Math.pow((p.getX() -this.getX()), 2)+Math.pow((p.getY()-this.getY()), 2));
		 return Math.round(d*10000)/(double)10000;


	}
	public void move(double dX,double dY){
	    if((getX()+dX)>=DEFAULT_VAL && (getY()+dY)>=DEFAULT_VAL){
	        setX(getX()+dX);
	        setY(getY()+dY);}
	    }
	private double getRadius(double x,double y){
		 _radius=Math.sqrt(Math.pow(x,2)+Math.pow(y,2));
         return Math.round(_radius*10000)/(double)10000;}
	private double getAlpha(double x,double y){
		if(getY()==DEFAULT_VAL){
		  _alpha=Math.PI/2;
       return Math.round(_alpha*10000)/(double)10000;}
		_alpha=Math.atan(y/x);
		return Math.round(_alpha*10000)/(double)10000;
	}

}