class IGPSquare extends IGPFamily {
  int parts;

  IGPSquare(float x, float y, float d, int p){
    super(x, y, d);
    parts = p;
    setVectorsOnAlphaCircle();
    setVectorsOnOuterSquare();
    setConstructionCircleCenters();
  }

  void setConstructionCircleCenters(){
    constructionCircleCenters = new ArrayList <PVector> (4);
    constructionCircleCenters.add(alphaCircleVectors.get(0));
    constructionCircleCenters.add(alphaCircleVectors.get(3));
    constructionCircleCenters.add(alphaCircleVectors.get(6));
    constructionCircleCenters.add(alphaCircleVectors.get(9));
  }

  void setVectorsOnOuterSquare(){
    int amount = 12;
    outerSquareVectors = new ArrayList <PVector>(12);
    outerSquareVectors.add(alphaCircleVectors.get(0));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(1), mid.x+radius, false));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(2), mid.y-radius, true));
    outerSquareVectors.add(alphaCircleVectors.get(3));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(4), mid.y-radius, true));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(5), mid.x-radius, false));
    outerSquareVectors.add(alphaCircleVectors.get(6));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(7), mid.x-radius, false));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(8), mid.y+radius, true));
    outerSquareVectors.add(alphaCircleVectors.get(9));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(10), mid.y+radius, true));
    outerSquareVectors.add(extendLine(mid, alphaCircleVectors.get(11), mid.x+radius, false));
 
    outerSquareVectorsSixteen = new ArrayList <PVector>(16);
    outerSquareVectorsSixteen.add(alphaCircleVectorsSixteen.get(0));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(1), mid.x+radius, false));
    outerSquareVectorsSixteen.add(new PVector(mid.x+radius, mid.y-radius));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(3), mid.y-radius, true));
    outerSquareVectorsSixteen.add(alphaCircleVectorsSixteen.get(4));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(5), mid.y-radius, true));
    outerSquareVectorsSixteen.add(new PVector(mid.x-radius, mid.y-radius));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(7), mid.x-radius, false));
    outerSquareVectorsSixteen.add(alphaCircleVectorsSixteen.get(8));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(9), mid.x-radius, false));
    outerSquareVectorsSixteen.add(new PVector(mid.x-radius, mid.y+radius));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(11), mid.y+radius, true));
    outerSquareVectorsSixteen.add(alphaCircleVectorsSixteen.get(12));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(13), mid.y+radius, true));
    outerSquareVectorsSixteen.add(new PVector(mid.x+radius, mid.y+radius));
    outerSquareVectorsSixteen.add(extendLine(mid, alphaCircleVectorsSixteen.get(15), mid.x+radius, false));
  }

  void createDividingLines(){
    if(parts == 12){
      createLine(outerSquareVectors.get(0), outerSquareVectors.get(6));
      createLine(outerSquareVectors.get(1), outerSquareVectors.get(7));
      createLine(outerSquareVectors.get(2), outerSquareVectors.get(8));
      createLine(outerSquareVectors.get(3), outerSquareVectors.get(9));
      createLine(outerSquareVectors.get(4), outerSquareVectors.get(10));
      createLine(outerSquareVectors.get(5), outerSquareVectors.get(11));
    }else if (parts == 16){
      createLine(outerSquareVectorsSixteen.get(0), outerSquareVectorsSixteen.get(8));
      createLine(outerSquareVectorsSixteen.get(1), outerSquareVectorsSixteen.get(9));
      createLine(outerSquareVectorsSixteen.get(2), outerSquareVectorsSixteen.get(10));
      createLine(outerSquareVectorsSixteen.get(3), outerSquareVectorsSixteen.get(11));
      createLine(outerSquareVectorsSixteen.get(4), outerSquareVectorsSixteen.get(12));
      createLine(outerSquareVectorsSixteen.get(5), outerSquareVectorsSixteen.get(13));
      createLine(outerSquareVectorsSixteen.get(6), outerSquareVectorsSixteen.get(14));
      createLine(outerSquareVectorsSixteen.get(7), outerSquareVectorsSixteen.get(15));
    }
  }

  void createDividingConstructionLines(){
    if(parts == 12){
      createLine(outerSquareVectors.get(0), outerSquareVectors.get(6));
      createLine(outerSquareVectors.get(1), outerSquareVectors.get(7));
      createLine(outerSquareVectors.get(2), outerSquareVectors.get(8));
      createLine(outerSquareVectors.get(3), outerSquareVectors.get(9));
      createLine(outerSquareVectors.get(4), outerSquareVectors.get(10));
      createLine(outerSquareVectors.get(5), outerSquareVectors.get(11));
    }else if (parts == 16){
      createLine(outerSquareVectorsSixteen.get(0), outerSquareVectorsSixteen.get(8));
      createLine(outerSquareVectorsSixteen.get(1), outerSquareVectorsSixteen.get(9));
      createLine(outerSquareVectorsSixteen.get(2), outerSquareVectorsSixteen.get(10));
      createLine(outerSquareVectorsSixteen.get(3), outerSquareVectorsSixteen.get(11));
      createLine(outerSquareVectorsSixteen.get(4), outerSquareVectorsSixteen.get(12));
      createLine(outerSquareVectorsSixteen.get(5), outerSquareVectorsSixteen.get(13));
      createLine(outerSquareVectorsSixteen.get(6), outerSquareVectorsSixteen.get(14));
      createLine(outerSquareVectorsSixteen.get(7), outerSquareVectorsSixteen.get(15));
    }
  }

  void display() {
    super.display();
    createOuterSquare();
    createDividingLines();
  }

  void displayConstructionLines(){
    super.displayConstructionLines();
    createDiagonalConstructionLinesOnOuterSquare();
    if (parts == 16){
      createInnerSquare();
      createInnerSquareTilted(45);
    }
    createDividingConstructionLines();
  }
}