public class Point2D {
//properties of Point2D

private final double x;
private final double y;


//Contructors
Point2D(){
this.x=0;
this.y=0;
}

Point2D(double x, double y){
this.x=x;
this.y=y;
}



//

double getX () {
return this.x;
}
double getY () {
return this.y;
}

double norm2 () {
return this.getX()*this.getX()+this.getY()*this.getY();
}


double distanceFrom (Point2D pointQ) {
return Math.sqrt(Math.pow(pointQ.getX()-this.getX(),2) + Math.pow(pointQ.getY()+this.getY(), 2));
}

+translate(double, double):point2D
which returns the point obtained by translating on the axes X and Y

Point2D translate (double dx, double dy) {
return new Point2D(this.getX()+dx, this.getY()+dy);
}

Point2D translate (Point2D vect) {
return new Point2D(this.getX()+vect.getX(), this.getY()+vect.getY());
}


Point2D rotateOf(double angle) {
if(this.getX()==0 && this.getY()==0) {
return this;
}
else {
return new Point2D(
this.getX()+(Math.cos(angle)/this.norm2()),
this.getY()+(Math.sin(angle)/this.norm2())
);
}
}

Point2D rotateOfWithCenter(double angle, Point2D center) {
Point2D Pprime = this.translate(-center.getX(), -center.getY());
Point2D Psecond = Pprime.rotateOf(angle);
Point2D Pthird = Psecond.translate(center);
return Pthird;
// return this.translate(-center.getX(),-center.getY()).rotateOf(angle).translate(center);
}


}