class MyShape {

  MySegment[] segs;  // members of class
  int numSegments;
  boolean isSelected = false;     // is this shape selected?

  //********** Constructor 1
  MyShape(int numInputSegments, MySegment[] inputSegments){

    numSegments = numInputSegments;
    segs = new MySegment[numSegments];

    for(int i=0; i<numSegments; i++)
      segs[i] = inputSegments[i];
  }

  //********** Constructor 1
  MyShape(int numSides, float radius, float xoff, float yoff){

    numSegments = numSides;
    segs = new MySegment[numSegments];

    //divide the full circle in nsides sections
    float angle = 2 * PI / numSegments;

    // create two points to store the segment points
    MyPoint p = new MyPoint(0.,0.);
    MyPoint pnext = new MyPoint(0.,0.);

    // loop to assign values to the points
    for(int i =0; i<numSegments; i++){
      p.x     = xoff + radius * sin(angle*i);
      p.y     = yoff + radius * cos(angle*i);
      pnext.x = xoff + radius * sin(angle*(i+1));
      pnext.y = yoff + radius * cos(angle*(i+1));
      segs[i] = new MySegment(p, pnext);
    }

  }

  //********** Move
  void move(float xoff, float yoff){

    for(int i=0; i<numSegments; i++)
      segs[i].move(xoff, yoff);
  }

  //********** Rotate
  void rotate (float angle, MyPoint ref) {
    for(int i=0; i<numSegments; i++)
      segs[i].rotate(angle, ref);
  }

  //********** Scale
  void scale(float xs, float ys, MyPoint ref){
    for(int i=0; i<numSegments; i++)
      segs[i].scale(xs, ys, ref);
  }

  //*********** centroid
  MyPoint centroid(){
    MyPoint c = new MyPoint(0.,0.);
    for(int i=0; i<numSegments; i++){
        c.x += segs[i].centroid().x;
        c.y += segs[i].centroid().y;
    }
    c.x /= numSegments;
    c.y /= numSegments;
    return c;
  }
  //*********** draw
  void draw(){

    for(int i=0; i<numSegments; i++)
      segs[i].draw();
  }
  //******** Select
  boolean select(float xpick, float ypick, float tolerance){
    for(int i=0; i<numSegments; i++){
      if(segs[i].select(xpick, ypick, tolerance)==true){
        isSelected = true;
        for(int j=0; j<numSegments; j++)                             
          segs[j].isSelected = true;     
        return true;
      }
      else {
        isSelected = false;
      }
    }
    return false;
  }

}