class IGPFamily {
  PVector mid;
  float diameter;
  float radius;
  ArrayList <PVector> alphaCircleVectors;
  ArrayList <PVector> constructionCircleCenters;
  ArrayList <PVector> constructionPartsTwelve;
  ArrayList <PVector> constructionPartsSixteen;

  IGPFamily(float x, float y, float d){
    ellipseMode(CENTER);
    colorMode(RGB, 1.0, 1.0, 1.0, 1.0);
    mid = new PVector(x, y);
    diameter = d;
    radius = d/2;
    println("New IGP object: x="+mid.x+"/ y="+mid.y+"/ diameter="+diameter);
  }

  void setVectorsOnAlphaCircle(){
    alphaCircleVectors = new ArrayList <PVector> (12);
    alphaCircleVectors.add(getVectorOnAlphaCircle(0));
    alphaCircleVectors.add(getVectorOnAlphaCircle(30));
    alphaCircleVectors.add(getVectorOnAlphaCircle(60));
    alphaCircleVectors.add(getVectorOnAlphaCircle(90));
    alphaCircleVectors.add(getVectorOnAlphaCircle(120));
    alphaCircleVectors.add(getVectorOnAlphaCircle(150));
    alphaCircleVectors.add(getVectorOnAlphaCircle(180));
    alphaCircleVectors.add(getVectorOnAlphaCircle(210));
    alphaCircleVectors.add(getVectorOnAlphaCircle(240));
    alphaCircleVectors.add(getVectorOnAlphaCircle(270));
    alphaCircleVectors.add(getVectorOnAlphaCircle(300));
    alphaCircleVectors.add(getVectorOnAlphaCircle(330));
  }

  PVector getVectorOnCircle(PVector mid, float degree){
    PVector point = new PVector(mid.x + radius*cos(radians(degree)), mid.y + radius * sin(radians(degree)));
    return point;
  }

  PVector getVectorOnAlphaCircle(float degree){
    return getVectorOnCircle(mid, degree);
  }

  void createSquare(PVector mid, float diameter){
    rect(mid.x, mid.y, diameter, diameter);
  }

  void createOuterSquare() {
    stroke(0.0, 0.0, 0.66, 0.4);
    rectMode(CENTER);
    createSquare(mid, diameter);
  }

  void createInnerSquare() {
    stroke(0.66, 0.66, 0.66, 0.4);
    rectMode(CENTER);
    createSquare(mid, sqrt(sq(diameter)/2));
  }

  void createInnerSquareTilted(float angle){
    rectMode(CENTER);
    stroke(0.66, 0.66, 0.66, 0.4);
    translate(mid.x, mid.y);
    pushMatrix();
    rotate(radians(angle));
    createSquare(new PVector(0, 0), sqrt(sq(diameter)/2));
    popMatrix();
    translate(mid.x*(-1), mid.y*(-1));
  }

  void createCircle(PVector v) {
    ellipse(v.x, v.y, diameter, diameter);
  }

  void createAlphaCircle() {
    stroke(1.0, 0.0, 0.0, 1.0);
    createCircle(mid);
  }

  void createConstructionCircles(){
    stroke(0.66, 0.66, 0.66, 0.4);
    for (PVector constructionCircle : constructionCircleCenters) {
      createCircle(constructionCircle);
    }
  }

  void createLine(PVector from, PVector to){
    beginShape(LINES);
    vertex(from.x, from.y);
    vertex(to.x, to.y);
    endShape();
  }

  void createVerticalHorizontalConstructionLines(){
    //TODO: add for 16 parts
    createLine(alphaCircleVectors.get(0), alphaCircleVectors.get(6));
    createLine(alphaCircleVectors.get(3), alphaCircleVectors.get(9));
  }

  void createDiagonalConstructionLines(){
    //TODO: add for 16 parts
    createLine(new PVector(constructionCircleCenters.get(1).x-radius, constructionCircleCenters.get(2).y-radius), new PVector(constructionCircleCenters.get(3).x+radius, constructionCircleCenters.get(0).y+radius));   
    createLine(new PVector(constructionCircleCenters.get(1).x+radius, constructionCircleCenters.get(0).y-radius), new PVector(constructionCircleCenters.get(3).x-radius, constructionCircleCenters.get(2).y+radius));   
  }

  void createInnerHexagon(){
    stroke(0.0, 0.0, 0.66, 0.4);
    beginShape(LINES);
    vertex(alphaCircleVectors.get(1).x, alphaCircleVectors.get(1).y);
    vertex(alphaCircleVectors.get(3).x, alphaCircleVectors.get(3).y);
    vertex(alphaCircleVectors.get(3).x, alphaCircleVectors.get(3).y);
    vertex(alphaCircleVectors.get(5).x, alphaCircleVectors.get(5).y);
    vertex(alphaCircleVectors.get(5).x, alphaCircleVectors.get(5).y);
    vertex(alphaCircleVectors.get(7).x, alphaCircleVectors.get(7).y);
    vertex(alphaCircleVectors.get(7).x, alphaCircleVectors.get(7).y);
    vertex(alphaCircleVectors.get(9).x, alphaCircleVectors.get(9).y);
    vertex(alphaCircleVectors.get(9).x, alphaCircleVectors.get(9).y);
    vertex(alphaCircleVectors.get(11).x, alphaCircleVectors.get(11).y);
    vertex(alphaCircleVectors.get(11).x, alphaCircleVectors.get(11).y);
    vertex(alphaCircleVectors.get(1).x, alphaCircleVectors.get(1).y);
    endShape();
  }

  void createInnerHexagonTilted(float angle){
    stroke(0.0, 0.0, 0.66, 0.4);
    translate(mid.x, mid.y);
    pushMatrix();
    rotate(radians(angle));
    beginShape(LINES);
    vertex(alphaCircleVectors.get(1).x-mid.x, alphaCircleVectors.get(1).y-mid.y);
    vertex(alphaCircleVectors.get(3).x-mid.x, alphaCircleVectors.get(3).y-mid.y);
    vertex(alphaCircleVectors.get(3).x-mid.x, alphaCircleVectors.get(3).y-mid.y);
    vertex(alphaCircleVectors.get(5).x-mid.x, alphaCircleVectors.get(5).y-mid.y);
    vertex(alphaCircleVectors.get(5).x-mid.x, alphaCircleVectors.get(5).y-mid.y);
    vertex(alphaCircleVectors.get(7).x-mid.x, alphaCircleVectors.get(7).y-mid.y);
    vertex(alphaCircleVectors.get(7).x-mid.x, alphaCircleVectors.get(7).y-mid.y);
    vertex(alphaCircleVectors.get(9).x-mid.x, alphaCircleVectors.get(9).y-mid.y);
    vertex(alphaCircleVectors.get(9).x-mid.x, alphaCircleVectors.get(9).y-mid.y);
    vertex(alphaCircleVectors.get(11).x-mid.x, alphaCircleVectors.get(11).y-mid.y);
    vertex(alphaCircleVectors.get(11).x-mid.x, alphaCircleVectors.get(11).y-mid.y);
    vertex(alphaCircleVectors.get(1).x-mid.x, alphaCircleVectors.get(1).y-mid.y);
    endShape();
    popMatrix();
    translate(mid.x*(-1), mid.y*(-1));
  }

  void createInnerTriangle(){
    stroke(0.0, 0.0, 0.66, 0.4);
    triangle(alphaCircleVectors.get(1).x, alphaCircleVectors.get(1).y, alphaCircleVectors.get(5).x, alphaCircleVectors.get(5).y, alphaCircleVectors.get(9).x, alphaCircleVectors.get(9).y);
  }

  void createInnerTriangleTilted(float angle){
    stroke(0.0, 0.0, 0.66, 0.4);
    translate(mid.x, mid.y);
    pushMatrix();
    rotate(radians(angle));
    triangle(alphaCircleVectors.get(1).x-mid.x, alphaCircleVectors.get(1).y-mid.y, alphaCircleVectors.get(5).x-mid.x, alphaCircleVectors.get(5).y-mid.y, alphaCircleVectors.get(9).x-mid.x, alphaCircleVectors.get(9).y-mid.y);
    popMatrix();
    translate(mid.x*(-1), mid.y*(-1));
  }

  void display() {
    createAlphaCircle();
  }

  void displayConstructionLines() {
    stroke(0.66, 0.66, 0.66, 0.4);
    createConstructionCircles();
    createVerticalHorizontalConstructionLines();
  }

}