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class IGPFamily {
PVector mid;
float diameter;
float radius;
Float[] defaultFillColor = {0.0, 0.0, 0.0, 0.0};
Float[] defaultStrokeColor = {0.66, 0.66, 0.66, 0.4};
Float[] fillColor;
Float[] strokeColor;
ArrayList <PVector> alphaCircleVectors;
ArrayList <PVector> alphaCircleVectorsSixteen;
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));
alphaCircleVectorsSixteen = new ArrayList <PVector> (16);
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(0));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(22.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(45));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(67.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(90));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(112.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(135));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(157.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(180));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(202.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(225));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(247.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(270));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(292.5));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(315));
alphaCircleVectorsSixteen.add(getVectorOnAlphaCircle(337.5));
}
void setFillColor(Float[] fillColor){
if (fillColor.length==4){
this.fillColor = fillColor;
}
}
void setStrokeColor(Float[] strokeColor){
if (strokeColor.length==4){
this.strokeColor = strokeColor;
}
}
void useStrokeColor(){
if(strokeColor.length!=4 || strokeColor == null){
strokeColor = defaultStrokeColor;
}
stroke(strokeColor[0], strokeColor[1], strokeColor[2], strokeColor[3]);
}
void useFillColor(){
if(fillColor.length!=4 || fillColor == null){
fillColor = defaultFillColor;
}
fill(fillColor[0], fillColor[1], fillColor[2], fillColor[3]);
}
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, float diameter) {
ellipse(v.x, v.y, diameter, diameter);
}
void createAlphaCircle() {
stroke(1.0, 0.0, 0.0, 1.0);
createCircle(mid, diameter);
}
void createConstructionCircles(){
stroke(0.66, 0.66, 0.66, 0.4);
for (PVector constructionCircle : constructionCircleCenters) {
createCircle(constructionCircle, diameter);
}
}
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 createDiagonalConstructionLinesOnOuterSquare(){
createLine(new PVector(mid.x+radius, mid.y+radius), new PVector(mid.x-radius, mid.y-radius));
createLine(new PVector(mid.x+radius, mid.y-radius), new PVector(mid.x-radius, mid.y+radius));
}
void createDiagonalConstructionLinesOnAlphaCircle(){
createLine(alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(10));
createLine(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(14));
}
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));
}
PVector lineIntersection(PVector p1, PVector p2, PVector p3, PVector p4) {
PVector b = PVector.sub(p2, p1);
PVector d = PVector.sub(p4, p3);
float b_dot_d_perp = b.x * d.y - b.y * d.x;
if (b_dot_d_perp == 0) {
return null;
}
PVector c = PVector.sub(p3, p1);
float t = (c.x * d.y - c.y * d.x) / b_dot_d_perp;
if (t < 0 || t > 1) { return null; }
float u = (c.x * b.y - c.y * b.x) / b_dot_d_perp;
if (u < 0 || u > 1) { return null; }
return new PVector(p1.x+t*b.x, p1.y+t*b.y);
}
float angleBetweenTwoVectors (PVector p1, PVector p2) {
float angle = atan2(p1.y-p2.y, p1.x-p2.x);
if (angle < 0) {
angle+=TWO_PI;
}
return degrees(angle);
}
PVector extendLine(PVector startPoint, PVector endPoint, float boundary, boolean vertical){
float m,n;
m = (endPoint.y-startPoint.y)/(endPoint.x-startPoint.x);
n = endPoint.y-m*endPoint.x;
if (vertical){
return new PVector((boundary-n)/m, boundary);
} else {
return new PVector(boundary, (m*boundary)+n);
}
}
void display() {
createAlphaCircle();
}
void displayConstructionLines() {
stroke(0.66, 0.66, 0.66, 0.4);
createConstructionCircles();
createVerticalHorizontalConstructionLines();
}
}
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