using System;

public class Point: AbstractPoint {

  // Polar representation of points:
  private double radius, angle;            // radius, angle

  // Point constructor:
  public Point(PointRepresentation pr, double n1, double n2){
    if (pr == PointRepresentation.Polar){
      radius = n1; angle = n2;
    } 
    else if (pr == PointRepresentation.Rectangular){
      radius = RadiusGivenXy(n1, n2);
      angle  = AngleGivenXy(n1, n2);
    } else {
      throw new Exception("Should not happen");
    }
  }   

  public override double X {
    get {
      return XGivenRadiusAngle(radius, angle);}
    set {
      double yBefore = YGivenRadiusAngle(radius, angle);
      angle = AngleGivenXy(value, yBefore);
      radius = RadiusGivenXy(value, yBefore);
    }
  }   

  public override double Y {
    get {
      return YGivenRadiusAngle(radius, angle);}
    set {
      double xBefore = XGivenRadiusAngle(radius, angle);
      angle = AngleGivenXy(xBefore, value);
      radius = RadiusGivenXy(xBefore, value);
    }
  }   

  public override double R {
    get {
     return radius;}
    set {
     radius = value;}
  }   

  public override double A {
    get {
     return angle;}
    set {
     angle = value;}
  }   

}