class IGPSquare extends IGPFamily {
  int parts;
  ArrayList <PVector> vectorsOnOuterSquare;

  IGPSquare(float x, float y, float d, int p){
    super(x, y, d);
    parts = p;
    setBaseVectorsOnOuterSquare();
    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 setBaseVectorsOnOuterSquare(){
    twelveBaseVectorsOnOuterSquare = new ArrayList <PVector>(12);
    twelveBaseVectorsOnOuterSquare.add(alphaCircleVectors.get(0));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(1), mid.x+radius, false));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(2), mid.y-radius, true));
    twelveBaseVectorsOnOuterSquare.add(alphaCircleVectors.get(3));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(4), mid.y-radius, true));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(5), mid.x-radius, false));
    twelveBaseVectorsOnOuterSquare.add(alphaCircleVectors.get(6));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(7), mid.x-radius, false));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(8), mid.y+radius, true));
    twelveBaseVectorsOnOuterSquare.add(alphaCircleVectors.get(9));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(10), mid.y+radius, true));
    twelveBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectors.get(11), mid.x+radius, false));

    sixteenBaseVectorsOnOuterSquare = new ArrayList <PVector>(16);
    sixteenBaseVectorsOnOuterSquare.add(alphaCircleVectorsSixteen.get(0));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(1), mid.x+radius, false));
    sixteenBaseVectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y-radius));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(3), mid.y-radius, true));
    sixteenBaseVectorsOnOuterSquare.add(alphaCircleVectorsSixteen.get(4));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(5), mid.y-radius, true));
    sixteenBaseVectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y-radius));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(7), mid.x-radius, false));
    sixteenBaseVectorsOnOuterSquare.add(alphaCircleVectorsSixteen.get(8));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(9), mid.x-radius, false));
    sixteenBaseVectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y+radius));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(11), mid.y+radius, true));
    sixteenBaseVectorsOnOuterSquare.add(alphaCircleVectorsSixteen.get(12));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(13), mid.y+radius, true));
    sixteenBaseVectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y+radius));
    sixteenBaseVectorsOnOuterSquare.add(getVectorOnExtendedLine(mid, alphaCircleVectorsSixteen.get(15), mid.x+radius, false));
  }

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

  void createVectorIndicatorOnOuterSquare(float diameter){
    useStrokeColor();
    useFillColor();
    for (PVector vector: vectorsOnOuterSquare){
      createCircle(vector, diameter);
    }
  }

  void displayConstructionLines(){
    super.displayConstructionLines();
    setStrokeColor(new Float[] {0.4, 0.8, 0.4, 1.0});
    setFillColor(new Float[] {0.0, 0.0, 0.0, 0.0});
    if (parts == 16){
      createInnerSquare();
      createInnerSquareTilted(45);
    }
    createOuterSquare();
    createDividingLinesOnOuterSquare();
  }
}