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let startingNodes = 10;
let nodes = [];
let maxForce = 0.1;
let maxNodes;
let edgeBreak = 10;
let iter = 1;
let qtree;
let c1, c2, c3, c4, c5;
function setup() {
createCanvas(400, 400);
frameRate(60);
init();
// # Color Palette
c1 = color(255, 205, 178);
c2 = color(255, 180, 162);
c3 = color(229, 152, 155);
c4 = color(181, 131, 141);
c5 = color(109, 104, 117);
maxNodes = height * 2;
}
function init() {
nodes = [];
let radius = (edgeBreak * startingNodes) / TWO_PI; // calculate radius to position points right before edgebreak
for (var i = 0; i < TWO_PI; i += TWO_PI / startingNodes) {
let x = width / 2 + cos(i) * radius;
let y = height / 2 + sin(i) * radius;
nodes.push(createVector(x, y));
}
}
function draw() {
let boundary = new Rectangle(width / 2, height / 2, width, height);
qtree = new QuadTree(boundary, 4);
for (var i = 0; i < nodes.length; i++) {
qtree.insert(new Particle(nodes[i].x, nodes[i].y));
}
background(c5);
display();
if (nodes.length < maxNodes) {
for (let l = 0; l < iter; l++) {
//addRandom();
subdivide();
repulsion();
}
}
}
function mouseClicked() {
init();
}
function addRandom() {
if (frameCount % getFrameRate() == 0) // 1 random per second
{
let r = int(random(0, nodes.length));
let m = midpoint(nodes[fixId(r)], nodes[fixId(r + 1)]);
splice(nodes, m, r + 1);
}
}
function getEdgeBreakNoise(x, y) {
return noise(x / 100, y / 100) * 30 + 1;
}
function subdivide() {
for (var i = nodes.length - 1; i >= 0; i--) {
edgeBreak = getEdgeBreakNoise(nodes[i].x, nodes[i].y);
let n1 = nodes[fixId(i)];
let n2 = nodes[fixId(i + 1)];
if (distSq(n1, n2) > edgeBreak ** 2) {
splice(nodes, midpoint(n1, n2), i + 1);
}
}
}
function repulsion() {
let repulsionForces = [];
for (var i = 0; i < nodes.length; i++) {
edgeBreak = getEdgeBreakNoise(nodes[i].x, nodes[i].y);
let seek = createVector();
// quadtree request
let request = qtree.query(new Circle(nodes[i].x, nodes[i].y, edgeBreak));
for (let other of request) {
if (nodes[i] != other.pos) {
let d = nodes[i].dist(other.pos);
let diff = p5.Vector.sub(nodes[i], other.pos);
diff.mult(exp(edgeBreak - d)); // invertly proportional
// this makes it so that the influence inside the edgebreak radius is big
// the influence at the edgebreak radius is one
// the influence outside the edgebreak radius is decreasingly proportional
seek.add(diff);
}
}
repulsionForces[i] = seek;
}
for (let i = 0; i < nodes.length; i++) {
nodes[i].add(repulsionForces[i].limit(maxForce));
}
}
function display() {
//beginShape();
for (var i = 0; i < nodes.length; i++) {
noStroke();
let colorSwitch = getEdgeBreakNoise(nodes[i].x, nodes[i].y) / 30
let c = lerpColorFive(c1, c2, c3, c4, c5, colorSwitch);
fill(c);
//circle(nodes[i].x, nodes[i].y, colorSwitch*7);
stroke(c);
strokeWeight(3);
noFill();
//curveVertex(nodes[i].x, nodes[i].y);
line(nodes[i].x, nodes[i].y, nodes[fixId(i + 1)].x, nodes[fixId(i + 1)].y);
}
//endShape(CLOSE);
}
// ##### Quadtree Helper Classes
class Rectangle {
constructor(x, y, w, h) {
this.x = x;
this.y = y;
this.w = w;
this.h = h;
}
contains(point) {
return (point.pos.x >= this.x - this.w &&
point.pos.x <= this.x + this.w &&
point.pos.y >= this.y - this.h &&
point.pos.y <= this.y + this.h);
}
intersects(range) {
return !(range.x - range.w > this.x + this.w ||
range.x + range.w < this.x - this.w ||
range.y - range.h > this.y + this.h ||
range.y + range.h < this.y - this.h);
}
}
class Circle {
constructor(x, y, r) {
this.x = x;
this.y = y;
this.r = r;
}
contains(point) {
//let d = distSq(point.pos, createVector(this.x,this.y));
let d = (point.pos.x - this.x) ** 2 + (point.pos.y - this.y) ** 2;
return d <= this.r ** 2;
}
intersects(range) {
var xDist = Math.abs(range.x - this.x);
var yDist = Math.abs(range.y - this.y);
// radius of the circle
var r = this.r;
var w = range.w;
var h = range.h;
var edges = (xDist - w) ** 2 + (yDist - h) ** 2;
// no intersection
if (xDist > (r + w) || yDist > (r + h))
return false;
// intersection within the circle
if (xDist <= w || yDist <= h)
return true;
// intersection on the edge of the circle
return edges <= this.r ** 2;
}
}
// ##### Quadtree Class
class QuadTree {
constructor(boundary, capacity) {
if (!boundary) {
throw TypeError('boundary is null or undefined');
}
if (!(boundary instanceof Rectangle)) {
throw TypeError('boundary should be a Rectangle');
}
if (typeof capacity !== 'number') {
throw TypeError(`capacity should be a number but is a ${typeof capacity}`);
}
if (capacity < 1) {
throw RangeError('capacity must be greater than 0');
}
this.boundary = boundary;
this.capacity = capacity;
this.points = [];
this.divided = false;
}
subdivide() {
let x = this.boundary.x;
let y = this.boundary.y;
let w = this.boundary.w / 2;
let h = this.boundary.h / 2;
let ne = new Rectangle(x + w, y - h, w, h);
this.northeast = new QuadTree(ne, this.capacity);
let nw = new Rectangle(x - w, y - h, w, h);
this.northwest = new QuadTree(nw, this.capacity);
let se = new Rectangle(x + w, y + h, w, h);
this.southeast = new QuadTree(se, this.capacity);
let sw = new Rectangle(x - w, y + h, w, h);
this.southwest = new QuadTree(sw, this.capacity);
this.divided = true;
}
insert(point) {
if (!this.boundary.contains(point)) {
return false;
}
if (this.points.length < this.capacity) {
this.points.push(point);
return true;
}
if (!this.divided) {
this.subdivide();
}
if (this.northeast.insert(point) || this.northwest.insert(point) ||
this.southeast.insert(point) || this.southwest.insert(point)) {
return true;
}
}
query(range, found) {
if (!found) {
found = [];
}
if (!range.intersects(this.boundary)) {
return found;
}
for (let p of this.points) {
if (range.contains(p)) {
found.push(p);
}
}
if (this.divided) {
this.northwest.query(range, found);
this.northeast.query(range, found);
this.southwest.query(range, found);
this.southeast.query(range, found);
}
return found;
}
renderPoints(){
for(let p of this.points){
let l = lerpColorFive(c1,c2,c3,c4,c5, p.col);
fill(l,255);
circle(p.pos.x,p.pos.y,diameter);
}
if (this.divided) {
this.northwest.renderPoints();
this.northeast.renderPoints();
this.southwest.renderPoints();
this.southeast.renderPoints();
}
}
renderQuads(){
if (this.divided) {
this.northwest.renderQuads();
this.northeast.renderQuads();
this.southwest.renderQuads();
this.southeast.renderQuads();
}
else{
rect(this.boundary.x, this.boundary.y, this.boundary.w*2-3, this.boundary.h*2-3);
}
}
}
class Particle {
constructor(x,y) {
this.pos = createVector(x,y);
}
}
function fixId(i) {
if (i >= 0) {
return i % nodes.length;
} else if (i < 0) {
return nodes.length + i
}
}
function midpoint(v1, v2) {
return (createVector((v1.x + v2.x) / 2, (v1.y + v2.y) / 2));
}
function distSq(v1, v2) {
return (v2.x - v1.x) ** 2 + (v2.y - v1.y) ** 2;
}
function lerpColorFive(c1, c2, c3, c4, c5, i)
{
if(i <= 0.25) {return lerpColor(c1,c2, map(i,0,0.25,0,1));}
else if(i <= 0.5) {return lerpColor(c2,c3, map(i,0.25,0.5,0,1));}
else if(i <= 0.75) {return lerpColor(c3,c4, map(i,0.5,0.75,0,1));}
else {return lerpColor(c4,c5, map(i,0.75,1,0,1));}
}