Ring of tangent circles inscribed in another circle - javascript

My question is based on this question.
The code of the post is fantastic.
It creates a ring of satellite circles tangent to a base circle (Out of the base circle).
This part calculates the radius external to the circle:
var angle = Math.PI / n;
var s = Math.sin(angle);
var r = baseRadius * s / (1-s);
How to calculate the radius of the circles if I want the circle ring to be tangent inside the base circle?
I would greatly appreciate your help.


Modify your sub circles by Sine and Cosine and PI.
You can use this as a baseline:
//Classes
var Coord = (function() {
function Coord(x, y) {
this.x = x;
this.y = y;
}
return Coord;
}());
var Circle = (function() {
function Circle(origo, radius) {
this.origo = origo;
this.radius = radius;
}
Circle.prototype.circumference = function() {
return this.radius * 2 * Math.PI;
};
return Circle;
}());
//functions
function innerTangentCircles(master, count) {
if (count === void 0) {
count = 4;
}
var result = [];
for (var index = 0; index < count; index++) {
var cos = Math.cos(((Math.PI * 2) / count) * index);
var sin = Math.sin(((Math.PI * 2) / count) * index);
var circle = new Circle(new Coord(master.origo.x + (master.radius * cos) - (master.radius / (count / 2)) * cos, master.origo.y + (master.radius * sin) - (master.radius / (count / 2)) * sin), master.radius / (count / 2));
result.push(circle);
}
return result;
}
//>>Test<<
//Create circles
var bigC = new Circle(new Coord(200, 200), 200);
//Create DOM
var c = document.createElement("canvas").getContext("2d");
c.canvas.width = 500;
c.canvas.height = 500;
document.body.appendChild(c.canvas);
//Run loop
function draw(i) {
var circles = innerTangentCircles(bigC, i);
c.fillStyle = "red";
c.beginPath();
c.arc(bigC.origo.x, bigC.origo.y, bigC.radius, 0, Math.PI * 2);
c.fill();
c.closePath();
c.fillStyle = "yellow";
for (var index = 0; index < circles.length; index++) {
var circle = circles[index];
c.beginPath();
c.arc(circle.origo.x, circle.origo.y, circle.radius, 0, Math.PI * 2);
c.fill();
c.closePath();
}
if (i > 500) {
i = 4;
}
i = i * 2;
setTimeout(function() {
draw(i);
}, 1000);
}
draw(8);


/**
* Coord
*/
var Coord = (function() {
function Coord(x, y) {
this.x = x;
this.y = y;
}
return Coord;
}());
/**
* Circle
*/
var Circle = (function() {
function Circle(origo, radius) {
this.origo = origo;
this.radius = radius;
}
Circle.radiusFromCircumference = function(circumference) {
return circumference / Math.PI / 2;
};
Circle.circumference = function(radius) {
return 2 * Math.PI * radius;
};
Circle.prototype.circumference = function() {
return Circle.circumference(this.radius);
};
return Circle;
}());
//Functions
function distance(x1, y1, x2, y2) {
return Math.sqrt(Math.pow(x1 - x2, 2) + Math.pow(y1 - y2, 2));
}
function getRadian(count, index) {
return ((Math.PI * 2) / count) * index;
}
function circlesFromCircumference(master, count) {
var circles = [];
var masterCircumference = master.circumference();
var innerRadius = Circle.radiusFromCircumference(masterCircumference);
//var innerCircumference = Circle.circumference(innerRadius);
var circleRadius = 0;
var radian = getRadian(count, 1);
var maxCalc = 1000;
while (maxCalc--) {
var dist = distance(Math.cos(0) * innerRadius + master.origo.x, Math.sin(0) * innerRadius + master.origo.y, Math.cos(radian) * innerRadius + master.origo.x, Math.sin(radian) * innerRadius + master.origo.y);
if (Math.abs(dist / 2 - circleRadius) < 0.5) {
break;
}
circleRadius = dist / 2;
innerRadius = master.radius - circleRadius;
}
for (var index = 0; index < count; index++) {
var radian = getRadian(count, index);
var cos = Math.cos(radian);
var sin = Math.sin(radian);
var c = new Circle(new Coord(cos * innerRadius + master.origo.x, sin * innerRadius + master.origo.y), circleRadius);
circles.push(c);
}
return circles;
}
//>>TEST<<
var c = document.createElement("canvas").getContext("2d");
c.canvas.height = 200;
c.canvas.width = c.canvas.height;
document.body.appendChild(c.canvas);
var bigC = new Circle(new Coord(c.canvas.height / 2, c.canvas.height / 2), c.canvas.height / 2.1);
function draw(size) {
size++;
c.fillStyle = "red";
c.beginPath();
c.arc(bigC.origo.x, bigC.origo.y, bigC.radius, 0, Math.PI * 2);
c.fill();
c.closePath();
var circles = circlesFromCircumference(bigC, size);
c.fillStyle = "yellow";
for (var index = 0; index < circles.length; index++) {
var circle = circles[index];
c.beginPath();
c.arc(circle.origo.x, circle.origo.y, circle.radius, 0, Math.PI * 2);
c.fill();
c.closePath();
}
setTimeout(function() {
if (size > 32) {
size = 2;
}
draw(size);
}, 1000 / 4);
}
draw(1);

Related

Trying to add this to my website on sqaurespace

I've been trying to add a (code pen) animation on my website and I'm honestly not sure what I'm missing on this one. I have tried running it in jsfiddle as well and it tells me that delaunay is not defined. https://codepen.io/hduffin1/pen/QOMZJg I'm not too sure what I'm doing wrong since the code works inside of code pen and I have been able to replicate other ones that I've tried using from code pen but for whatever reason, I can't seem to get this one to work.
Html
<canvas id="stars" width="300" height="300"></canvas>
CSS
html,
body {
margin: 0;
padding: 0;
}
body {
background-color: #31102f; //#280B29
background: radial-gradient(
ellipse at center,
rgba(49, 16, 47, 1) 0%,
rgba(40, 11, 41, 1) 100%
);
}
#stars {
display: block;
position: relative;
width: 100%;
height: 16rem;
height: 100vh;
z-index: 1;
}
JS
/**
* Stars
* Inspired by Steve Courtney's poster art for Celsius GS's Drifter - http://celsiusgs.com/drifter/posters.php
* by Cory Hughart - http://coryhughart.com
*/
// Settings
var particleCount = 40,
flareCount = 10,
motion = 0.05,
tilt = 0.05,
color = '#FFEED4',
particleSizeBase = 1,
particleSizeMultiplier = 0.5,
flareSizeBase = 100,
flareSizeMultiplier = 100,
lineWidth = 1,
linkChance = 75, // chance per frame of link, higher = smaller chance
linkLengthMin = 5, // min linked vertices
linkLengthMax = 7, // max linked vertices
linkOpacity = 0.25; // number between 0 & 1
linkFade = 90, // link fade-out frames
linkSpeed = 1, // distance a link travels in 1 frame
glareAngle = -60,
glareOpacityMultiplier = 0.05,
renderParticles = true,
renderParticleGlare = true,
renderFlares = true,
renderLinks = true,
renderMesh = false,
flicker = true,
flickerSmoothing = 15, // higher = smoother flicker
blurSize = 0,
orbitTilt = true,
randomMotion = true,
noiseLength = 1000,
noiseStrength = 1;
var canvas = document.getElementById('stars'),
//orbits = document.getElementById('orbits'),
context = canvas.getContext('2d'),
mouse = { x: 0, y: 0 },
m = {},
r = 0,
c = 1000, // multiplier for delaunay points, since floats too small can mess up the algorithm
n = 0,
nAngle = (Math.PI * 2) / noiseLength,
nRad = 100,
nScale = 0.5,
nPos = {x: 0, y: 0},
points = [],
vertices = [],
triangles = [],
links = [],
particles = [],
flares = [];
function init() {
var i, j, k;
// requestAnimFrame polyfill
window.requestAnimFrame = (function(){
return window.requestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.mozRequestAnimationFrame ||
function( callback ){
window.setTimeout(callback, 1000 / 60);
};
})();
// Fade in background
/*
var background = document.getElementById('background'),
bgImg = new Image(),
bgURL = '/img/background.jpg';
bgImg.onload = function() {
//console.log('background loaded');
background.style.backgroundImage = 'url("'+bgURL+'")';
background.className += ' loaded';
}
bgImg.src = bgURL;
*/
// Size canvas
resize();
mouse.x = canvas.clientWidth / 2;
mouse.y = canvas.clientHeight / 2;
// Create particle positions
for (i = 0; i < particleCount; i++) {
var p = new Particle();
particles.push(p);
points.push([p.x*c, p.y*c]);
}
//console.log(JSON.stringify(points));
// Delaunay triangulation
//var Delaunay = require('delaunay-fast');
vertices = Delaunay.triangulate(points);
//console.log(JSON.stringify(vertices));
// Create an array of "triangles" (groups of 3 indices)
var tri = [];
for (i = 0; i < vertices.length; i++) {
if (tri.length == 3) {
triangles.push(tri);
tri = [];
}
tri.push(vertices[i]);
}
//console.log(JSON.stringify(triangles));
// Tell all the particles who their neighbors are
for (i = 0; i < particles.length; i++) {
// Loop through all tirangles
for (j = 0; j < triangles.length; j++) {
// Check if this particle's index is in this triangle
k = triangles[j].indexOf(i);
// If it is, add its neighbors to the particles contacts list
if (k !== -1) {
triangles[j].forEach(function(value, index, array) {
if (value !== i && particles[i].neighbors.indexOf(value) == -1) {
particles[i].neighbors.push(value);
}
});
}
}
}
//console.log(JSON.stringify(particles));
if (renderFlares) {
// Create flare positions
for (i = 0; i < flareCount; i++) {
flares.push(new Flare());
}
}
// Motion mode
//if (Modernizr && Modernizr.deviceorientation) {
if ('ontouchstart' in document.documentElement && window.DeviceOrientationEvent) {
console.log('Using device orientation');
window.addEventListener('deviceorientation', function(e) {
mouse.x = (canvas.clientWidth / 2) - ((e.gamma / 90) * (canvas.clientWidth / 2) * 2);
mouse.y = (canvas.clientHeight / 2) - ((e.beta / 90) * (canvas.clientHeight / 2) * 2);
//console.log('Center: x:'+(canvas.clientWidth/2)+' y:'+(canvas.clientHeight/2));
//console.log('Orientation: x:'+mouse.x+' ('+e.gamma+') y:'+mouse.y+' ('+e.beta+')');
}, true);
}
else {
// Mouse move listener
console.log('Using mouse movement');
document.body.addEventListener('mousemove', function(e) {
//console.log('moved');
mouse.x = e.clientX;
mouse.y = e.clientY;
});
}
// Random motion
if (randomMotion) {
//var SimplexNoise = require('simplex-noise');
//var simplex = new SimplexNoise();
}
// Animation loop
(function animloop(){
requestAnimFrame(animloop);
resize();
render();
})();
}
function render() {
if (randomMotion) {
n++;
if (n >= noiseLength) {
n = 0;
}
nPos = noisePoint(n);
//console.log('NOISE x:'+nPos.x+' y:'+nPos.y);
}
// Clear
context.clearRect(0, 0, canvas.width, canvas.height);
if (blurSize > 0) {
context.shadowBlur = blurSize;
context.shadowColor = color;
}
if (renderParticles) {
// Render particles
for (var i = 0; i < particleCount; i++) {
particles[i].render();
}
}
if (renderMesh) {
// Render all lines
context.beginPath();
for (var v = 0; v < vertices.length-1; v++) {
// Splits the array into triplets
if ((v + 1) % 3 === 0) { continue; }
var p1 = particles[vertices[v]],
p2 = particles[vertices[v+1]];
//console.log('Line: '+p1.x+','+p1.y+'->'+p2.x+','+p2.y);
var pos1 = position(p1.x, p1.y, p1.z),
pos2 = position(p2.x, p2.y, p2.z);
context.moveTo(pos1.x, pos1.y);
context.lineTo(pos2.x, pos2.y);
}
context.strokeStyle = color;
context.lineWidth = lineWidth;
context.stroke();
context.closePath();
}
if (renderLinks) {
// Possibly start a new link
if (random(0, linkChance) == linkChance) {
var length = random(linkLengthMin, linkLengthMax);
var start = random(0, particles.length-1);
startLink(start, length);
}
// Render existing links
// Iterate in reverse so that removing items doesn't affect the loop
for (var l = links.length-1; l >= 0; l--) {
if (links[l] && !links[l].finished) {
links[l].render();
}
else {
delete links[l];
}
}
}
if (renderFlares) {
// Render flares
for (var j = 0; j < flareCount; j++) {
flares[j].render();
}
}
/*
if (orbitTilt) {
var tiltX = -(((canvas.clientWidth / 2) - mouse.x + ((nPos.x - 0.5) * noiseStrength)) * tilt),
tiltY = (((canvas.clientHeight / 2) - mouse.y + ((nPos.y - 0.5) * noiseStrength)) * tilt);
orbits.style.transform = 'rotateY('+tiltX+'deg) rotateX('+tiltY+'deg)';
}
*/
}
function resize() {
canvas.width = window.innerWidth * (window.devicePixelRatio || 1);
canvas.height = canvas.width * (canvas.clientHeight / canvas.clientWidth);
}
function startLink(vertex, length) {
//console.log('LINK from '+vertex+' (length '+length+')');
links.push(new Link(vertex, length));
}
// Particle class
var Particle = function() {
this.x = random(-0.1, 1.1, true);
this.y = random(-0.1, 1.1, true);
this.z = random(0,4);
this.color = color;
this.opacity = random(0.1,1,true);
this.flicker = 0;
this.neighbors = []; // placeholder for neighbors
};
Particle.prototype.render = function() {
var pos = position(this.x, this.y, this.z),
r = ((this.z * particleSizeMultiplier) + particleSizeBase) * (sizeRatio() / 1000),
o = this.opacity;
if (flicker) {
var newVal = random(-0.5, 0.5, true);
this.flicker += (newVal - this.flicker) / flickerSmoothing;
if (this.flicker > 0.5) this.flicker = 0.5;
if (this.flicker < -0.5) this.flicker = -0.5;
o += this.flicker;
if (o > 1) o = 1;
if (o < 0) o = 0;
}
context.fillStyle = this.color;
context.globalAlpha = o;
context.beginPath();
context.arc(pos.x, pos.y, r, 0, 2 * Math.PI, false);
context.fill();
context.closePath();
if (renderParticleGlare) {
context.globalAlpha = o * glareOpacityMultiplier;
/*
context.ellipse(pos.x, pos.y, r * 30, r, 90 * (Math.PI / 180), 0, 2 * Math.PI, false);
context.fill();
context.closePath();
*/
context.ellipse(pos.x, pos.y, r * 100, r, (glareAngle - ((nPos.x - 0.5) * noiseStrength * motion)) * (Math.PI / 180), 0, 2 * Math.PI, false);
context.fill();
context.closePath();
}
context.globalAlpha = 1;
};
// Flare class
var Flare = function() {
this.x = random(-0.25, 1.25, true);
this.y = random(-0.25, 1.25, true);
this.z = random(0,2);
this.color = color;
this.opacity = random(0.001, 0.01, true);
};
Flare.prototype.render = function() {
var pos = position(this.x, this.y, this.z),
r = ((this.z * flareSizeMultiplier) + flareSizeBase) * (sizeRatio() / 1000);
// Feathered circles
/*
var grad = context.createRadialGradient(x+r,y+r,0,x+r,y+r,r);
grad.addColorStop(0, 'rgba(255,255,255,'+f.o+')');
grad.addColorStop(0.8, 'rgba(255,255,255,'+f.o+')');
grad.addColorStop(1, 'rgba(255,255,255,0)');
context.fillStyle = grad;
context.beginPath();
context.fillRect(x, y, r*2, r*2);
context.closePath();
*/
context.beginPath();
context.globalAlpha = this.opacity;
context.arc(pos.x, pos.y, r, 0, 2 * Math.PI, false);
context.fillStyle = this.color;
context.fill();
context.closePath();
context.globalAlpha = 1;
};
// Link class
var Link = function(startVertex, numPoints) {
this.length = numPoints;
this.verts = [startVertex];
this.stage = 0;
this.linked = [startVertex];
this.distances = [];
this.traveled = 0;
this.fade = 0;
this.finished = false;
};
Link.prototype.render = function() {
// Stages:
// 0. Vertex collection
// 1. Render line reaching from vertex to vertex
// 2. Fade out
// 3. Finished (delete me)
var i, p, pos, points;
switch (this.stage) {
// VERTEX COLLECTION STAGE
case 0:
// Grab the last member of the link
var last = particles[this.verts[this.verts.length-1]];
//console.log(JSON.stringify(last));
if (last && last.neighbors && last.neighbors.length > 0) {
// Grab a random neighbor
var neighbor = last.neighbors[random(0, last.neighbors.length-1)];
// If we haven't seen that particle before, add it to the link
if (this.verts.indexOf(neighbor) == -1) {
this.verts.push(neighbor);
}
// If we have seen that article before, we'll just wait for the next frame
}
else {
//console.log(this.verts[0]+' prematurely moving to stage 3 (0)');
this.stage = 3;
this.finished = true;
}
if (this.verts.length >= this.length) {
// Calculate all distances at once
for (i = 0; i < this.verts.length-1; i++) {
var p1 = particles[this.verts[i]],
p2 = particles[this.verts[i+1]],
dx = p1.x - p2.x,
dy = p1.y - p2.y,
dist = Math.sqrt(dx*dx + dy*dy);
this.distances.push(dist);
}
//console.log('Distances: '+JSON.stringify(this.distances));
//console.log('verts: '+this.verts.length+' distances: '+this.distances.length);
//console.log(this.verts[0]+' moving to stage 1');
this.stage = 1;
}
break;
// RENDER LINE ANIMATION STAGE
case 1:
if (this.distances.length > 0) {
points = [];
//var a = 1;
// Gather all points already linked
for (i = 0; i < this.linked.length; i++) {
p = particles[this.linked[i]];
pos = position(p.x, p.y, p.z);
points.push([pos.x, pos.y]);
}
var linkSpeedRel = linkSpeed * 0.00001 * canvas.width;
this.traveled += linkSpeedRel;
var d = this.distances[this.linked.length-1];
// Calculate last point based on linkSpeed and distance travelled to next point
if (this.traveled >= d) {
this.traveled = 0;
// We've reached the next point, add coordinates to array
//console.log(this.verts[0]+' reached vertex '+(this.linked.length+1)+' of '+this.verts.length);
this.linked.push(this.verts[this.linked.length]);
p = particles[this.linked[this.linked.length-1]];
pos = position(p.x, p.y, p.z);
points.push([pos.x, pos.y]);
if (this.linked.length >= this.verts.length) {
//console.log(this.verts[0]+' moving to stage 2 (1)');
this.stage = 2;
}
}
else {
// We're still travelling to the next point, get coordinates at travel distance
// http://math.stackexchange.com/a/85582
var a = particles[this.linked[this.linked.length-1]],
b = particles[this.verts[this.linked.length]],
t = d - this.traveled,
x = ((this.traveled * b.x) + (t * a.x)) / d,
y = ((this.traveled * b.y) + (t * a.y)) / d,
z = ((this.traveled * b.z) + (t * a.z)) / d;
pos = position(x, y, z);
//console.log(this.verts[0]+' traveling to vertex '+(this.linked.length+1)+' of '+this.verts.length+' ('+this.traveled+' of '+this.distances[this.linked.length]+')');
points.push([pos.x, pos.y]);
}
this.drawLine(points);
}
else {
//console.log(this.verts[0]+' prematurely moving to stage 3 (1)');
this.stage = 3;
this.finished = true;
}
break;
// FADE OUT STAGE
case 2:
if (this.verts.length > 1) {
if (this.fade < linkFade) {
this.fade++;
// Render full link between all vertices and fade over time
points = [];
var alpha = (1 - (this.fade / linkFade)) * linkOpacity;
for (i = 0; i < this.verts.length; i++) {
p = particles[this.verts[i]];
pos = position(p.x, p.y, p.z);
points.push([pos.x, pos.y]);
}
this.drawLine(points, alpha);
}
else {
//console.log(this.verts[0]+' moving to stage 3 (2a)');
this.stage = 3;
this.finished = true;
}
}
else {
//console.log(this.verts[0]+' prematurely moving to stage 3 (2b)');
this.stage = 3;
this.finished = true;
}
break;
// FINISHED STAGE
case 3:
default:
this.finished = true;
break;
}
};
Link.prototype.drawLine = function(points, alpha) {
if (typeof alpha !== 'number') alpha = linkOpacity;
if (points.length > 1 && alpha > 0) {
//console.log(this.verts[0]+': Drawing line '+alpha);
context.globalAlpha = alpha;
context.beginPath();
for (var i = 0; i < points.length-1; i++) {
context.moveTo(points[i][0], points[i][1]);
context.lineTo(points[i+1][0], points[i+1][1]);
}
context.strokeStyle = color;
context.lineWidth = lineWidth;
context.stroke();
context.closePath();
context.globalAlpha = 1;
}
};
// Utils
function noisePoint(i) {
var a = nAngle * i,
cosA = Math.cos(a),
sinA = Math.sin(a),
//value = simplex.noise2D(nScale * cosA + nScale, nScale * sinA + nScale),
//rad = nRad + value;
rad = nRad;
return {
x: rad * cosA,
y: rad * sinA
};
}
function position(x, y, z) {
return {
x: (x * canvas.width) + ((((canvas.width / 2) - mouse.x + ((nPos.x - 0.5) * noiseStrength)) * z) * motion),
y: (y * canvas.height) + ((((canvas.height / 2) - mouse.y + ((nPos.y - 0.5) * noiseStrength)) * z) * motion)
};
}
function sizeRatio() {
return canvas.width >= canvas.height ? canvas.width : canvas.height;
}
function random(min, max, float) {
return float ?
Math.random() * (max - min) + min :
Math.floor(Math.random() * (max - min + 1)) + min;
}
// init
if (canvas) init();

When I entered 'https://codepen.io/hduffin1/pen/QOMZJg', 'delaunay.js' is included in the setting.
Add the following script and it should work.
<script src="https://rawgit.com/ironwallaby/delaunay/master/delaunay.js"></script>
/**
* Stars
* Inspired by Steve Courtney's poster art for Celsius GS's Drifter - http://celsiusgs.com/drifter/posters.php
* by Cory Hughart - http://coryhughart.com
*/
// Settings
var particleCount = 40,
flareCount = 10,
motion = 0.05,
tilt = 0.05,
color = '#FFEED4',
particleSizeBase = 1,
particleSizeMultiplier = 0.5,
flareSizeBase = 100,
flareSizeMultiplier = 100,
lineWidth = 1,
linkChance = 75, // chance per frame of link, higher = smaller chance
linkLengthMin = 5, // min linked vertices
linkLengthMax = 7, // max linked vertices
linkOpacity = 0.25; // number between 0 & 1
linkFade = 90, // link fade-out frames
linkSpeed = 1, // distance a link travels in 1 frame
glareAngle = -60,
glareOpacityMultiplier = 0.05,
renderParticles = true,
renderParticleGlare = true,
renderFlares = true,
renderLinks = true,
renderMesh = false,
flicker = true,
flickerSmoothing = 15, // higher = smoother flicker
blurSize = 0,
orbitTilt = true,
randomMotion = true,
noiseLength = 1000,
noiseStrength = 1;
var canvas = document.getElementById('stars'),
//orbits = document.getElementById('orbits'),
context = canvas.getContext('2d'),
mouse = { x: 0, y: 0 },
m = {},
r = 0,
c = 1000, // multiplier for delaunay points, since floats too small can mess up the algorithm
n = 0,
nAngle = (Math.PI * 2) / noiseLength,
nRad = 100,
nScale = 0.5,
nPos = {x: 0, y: 0},
points = [],
vertices = [],
triangles = [],
links = [],
particles = [],
flares = [];
function init() {
var i, j, k;
// requestAnimFrame polyfill
window.requestAnimFrame = (function(){
return window.requestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.mozRequestAnimationFrame ||
function( callback ){
window.setTimeout(callback, 1000 / 60);
};
})();
// Fade in background
/*
var background = document.getElementById('background'),
bgImg = new Image(),
bgURL = '/img/background.jpg';
bgImg.onload = function() {
//console.log('background loaded');
background.style.backgroundImage = 'url("'+bgURL+'")';
background.className += ' loaded';
}
bgImg.src = bgURL;
*/
// Size canvas
resize();
mouse.x = canvas.clientWidth / 2;
mouse.y = canvas.clientHeight / 2;
// Create particle positions
for (i = 0; i < particleCount; i++) {
var p = new Particle();
particles.push(p);
points.push([p.x*c, p.y*c]);
}
//console.log(JSON.stringify(points));
// Delaunay triangulation
//var Delaunay = require('delaunay-fast');
vertices = Delaunay.triangulate(points);
//console.log(JSON.stringify(vertices));
// Create an array of "triangles" (groups of 3 indices)
var tri = [];
for (i = 0; i < vertices.length; i++) {
if (tri.length == 3) {
triangles.push(tri);
tri = [];
}
tri.push(vertices[i]);
}
//console.log(JSON.stringify(triangles));
// Tell all the particles who their neighbors are
for (i = 0; i < particles.length; i++) {
// Loop through all tirangles
for (j = 0; j < triangles.length; j++) {
// Check if this particle's index is in this triangle
k = triangles[j].indexOf(i);
// If it is, add its neighbors to the particles contacts list
if (k !== -1) {
triangles[j].forEach(function(value, index, array) {
if (value !== i && particles[i].neighbors.indexOf(value) == -1) {
particles[i].neighbors.push(value);
}
});
}
}
}
//console.log(JSON.stringify(particles));
if (renderFlares) {
// Create flare positions
for (i = 0; i < flareCount; i++) {
flares.push(new Flare());
}
}
// Motion mode
//if (Modernizr && Modernizr.deviceorientation) {
if ('ontouchstart' in document.documentElement && window.DeviceOrientationEvent) {
console.log('Using device orientation');
window.addEventListener('deviceorientation', function(e) {
mouse.x = (canvas.clientWidth / 2) - ((e.gamma / 90) * (canvas.clientWidth / 2) * 2);
mouse.y = (canvas.clientHeight / 2) - ((e.beta / 90) * (canvas.clientHeight / 2) * 2);
//console.log('Center: x:'+(canvas.clientWidth/2)+' y:'+(canvas.clientHeight/2));
//console.log('Orientation: x:'+mouse.x+' ('+e.gamma+') y:'+mouse.y+' ('+e.beta+')');
}, true);
}
else {
// Mouse move listener
console.log('Using mouse movement');
document.body.addEventListener('mousemove', function(e) {
//console.log('moved');
mouse.x = e.clientX;
mouse.y = e.clientY;
});
}
// Random motion
if (randomMotion) {
//var SimplexNoise = require('simplex-noise');
//var simplex = new SimplexNoise();
}
// Animation loop
(function animloop(){
requestAnimFrame(animloop);
resize();
render();
})();
}
function render() {
if (randomMotion) {
n++;
if (n >= noiseLength) {
n = 0;
}
nPos = noisePoint(n);
//console.log('NOISE x:'+nPos.x+' y:'+nPos.y);
}
// Clear
context.clearRect(0, 0, canvas.width, canvas.height);
if (blurSize > 0) {
context.shadowBlur = blurSize;
context.shadowColor = color;
}
if (renderParticles) {
// Render particles
for (var i = 0; i < particleCount; i++) {
particles[i].render();
}
}
if (renderMesh) {
// Render all lines
context.beginPath();
for (var v = 0; v < vertices.length-1; v++) {
// Splits the array into triplets
if ((v + 1) % 3 === 0) { continue; }
var p1 = particles[vertices[v]],
p2 = particles[vertices[v+1]];
//console.log('Line: '+p1.x+','+p1.y+'->'+p2.x+','+p2.y);
var pos1 = position(p1.x, p1.y, p1.z),
pos2 = position(p2.x, p2.y, p2.z);
context.moveTo(pos1.x, pos1.y);
context.lineTo(pos2.x, pos2.y);
}
context.strokeStyle = color;
context.lineWidth = lineWidth;
context.stroke();
context.closePath();
}
if (renderLinks) {
// Possibly start a new link
if (random(0, linkChance) == linkChance) {
var length = random(linkLengthMin, linkLengthMax);
var start = random(0, particles.length-1);
startLink(start, length);
}
// Render existing links
// Iterate in reverse so that removing items doesn't affect the loop
for (var l = links.length-1; l >= 0; l--) {
if (links[l] && !links[l].finished) {
links[l].render();
}
else {
delete links[l];
}
}
}
if (renderFlares) {
// Render flares
for (var j = 0; j < flareCount; j++) {
flares[j].render();
}
}
/*
if (orbitTilt) {
var tiltX = -(((canvas.clientWidth / 2) - mouse.x + ((nPos.x - 0.5) * noiseStrength)) * tilt),
tiltY = (((canvas.clientHeight / 2) - mouse.y + ((nPos.y - 0.5) * noiseStrength)) * tilt);
orbits.style.transform = 'rotateY('+tiltX+'deg) rotateX('+tiltY+'deg)';
}
*/
}
function resize() {
canvas.width = window.innerWidth * (window.devicePixelRatio || 1);
canvas.height = canvas.width * (canvas.clientHeight / canvas.clientWidth);
}
function startLink(vertex, length) {
//console.log('LINK from '+vertex+' (length '+length+')');
links.push(new Link(vertex, length));
}
// Particle class
var Particle = function() {
this.x = random(-0.1, 1.1, true);
this.y = random(-0.1, 1.1, true);
this.z = random(0,4);
this.color = color;
this.opacity = random(0.1,1,true);
this.flicker = 0;
this.neighbors = []; // placeholder for neighbors
};
Particle.prototype.render = function() {
var pos = position(this.x, this.y, this.z),
r = ((this.z * particleSizeMultiplier) + particleSizeBase) * (sizeRatio() / 1000),
o = this.opacity;
if (flicker) {
var newVal = random(-0.5, 0.5, true);
this.flicker += (newVal - this.flicker) / flickerSmoothing;
if (this.flicker > 0.5) this.flicker = 0.5;
if (this.flicker < -0.5) this.flicker = -0.5;
o += this.flicker;
if (o > 1) o = 1;
if (o < 0) o = 0;
}
context.fillStyle = this.color;
context.globalAlpha = o;
context.beginPath();
context.arc(pos.x, pos.y, r, 0, 2 * Math.PI, false);
context.fill();
context.closePath();
if (renderParticleGlare) {
context.globalAlpha = o * glareOpacityMultiplier;
/*
context.ellipse(pos.x, pos.y, r * 30, r, 90 * (Math.PI / 180), 0, 2 * Math.PI, false);
context.fill();
context.closePath();
*/
context.ellipse(pos.x, pos.y, r * 100, r, (glareAngle - ((nPos.x - 0.5) * noiseStrength * motion)) * (Math.PI / 180), 0, 2 * Math.PI, false);
context.fill();
context.closePath();
}
context.globalAlpha = 1;
};
// Flare class
var Flare = function() {
this.x = random(-0.25, 1.25, true);
this.y = random(-0.25, 1.25, true);
this.z = random(0,2);
this.color = color;
this.opacity = random(0.001, 0.01, true);
};
Flare.prototype.render = function() {
var pos = position(this.x, this.y, this.z),
r = ((this.z * flareSizeMultiplier) + flareSizeBase) * (sizeRatio() / 1000);
// Feathered circles
/*
var grad = context.createRadialGradient(x+r,y+r,0,x+r,y+r,r);
grad.addColorStop(0, 'rgba(255,255,255,'+f.o+')');
grad.addColorStop(0.8, 'rgba(255,255,255,'+f.o+')');
grad.addColorStop(1, 'rgba(255,255,255,0)');
context.fillStyle = grad;
context.beginPath();
context.fillRect(x, y, r*2, r*2);
context.closePath();
*/
context.beginPath();
context.globalAlpha = this.opacity;
context.arc(pos.x, pos.y, r, 0, 2 * Math.PI, false);
context.fillStyle = this.color;
context.fill();
context.closePath();
context.globalAlpha = 1;
};
// Link class
var Link = function(startVertex, numPoints) {
this.length = numPoints;
this.verts = [startVertex];
this.stage = 0;
this.linked = [startVertex];
this.distances = [];
this.traveled = 0;
this.fade = 0;
this.finished = false;
};
Link.prototype.render = function() {
// Stages:
// 0. Vertex collection
// 1. Render line reaching from vertex to vertex
// 2. Fade out
// 3. Finished (delete me)
var i, p, pos, points;
switch (this.stage) {
// VERTEX COLLECTION STAGE
case 0:
// Grab the last member of the link
var last = particles[this.verts[this.verts.length-1]];
//console.log(JSON.stringify(last));
if (last && last.neighbors && last.neighbors.length > 0) {
// Grab a random neighbor
var neighbor = last.neighbors[random(0, last.neighbors.length-1)];
// If we haven't seen that particle before, add it to the link
if (this.verts.indexOf(neighbor) == -1) {
this.verts.push(neighbor);
}
// If we have seen that particle before, we'll just wait for the next frame
}
else {
//console.log(this.verts[0]+' prematurely moving to stage 3 (0)');
this.stage = 3;
this.finished = true;
}
if (this.verts.length >= this.length) {
// Calculate all distances at once
for (i = 0; i < this.verts.length-1; i++) {
var p1 = particles[this.verts[i]],
p2 = particles[this.verts[i+1]],
dx = p1.x - p2.x,
dy = p1.y - p2.y,
dist = Math.sqrt(dx*dx + dy*dy);
this.distances.push(dist);
}
//console.log('Distances: '+JSON.stringify(this.distances));
//console.log('verts: '+this.verts.length+' distances: '+this.distances.length);
//console.log(this.verts[0]+' moving to stage 1');
this.stage = 1;
}
break;
// RENDER LINE ANIMATION STAGE
case 1:
if (this.distances.length > 0) {
points = [];
//var a = 1;
// Gather all points already linked
for (i = 0; i < this.linked.length; i++) {
p = particles[this.linked[i]];
pos = position(p.x, p.y, p.z);
points.push([pos.x, pos.y]);
}
var linkSpeedRel = linkSpeed * 0.00001 * canvas.width;
this.traveled += linkSpeedRel;
var d = this.distances[this.linked.length-1];
// Calculate last point based on linkSpeed and distance travelled to next point
if (this.traveled >= d) {
this.traveled = 0;
// We've reached the next point, add coordinates to array
//console.log(this.verts[0]+' reached vertex '+(this.linked.length+1)+' of '+this.verts.length);
this.linked.push(this.verts[this.linked.length]);
p = particles[this.linked[this.linked.length-1]];
pos = position(p.x, p.y, p.z);
points.push([pos.x, pos.y]);
if (this.linked.length >= this.verts.length) {
//console.log(this.verts[0]+' moving to stage 2 (1)');
this.stage = 2;
}
}
else {
// We're still travelling to the next point, get coordinates at travel distance
// http://math.stackexchange.com/a/85582
var a = particles[this.linked[this.linked.length-1]],
b = particles[this.verts[this.linked.length]],
t = d - this.traveled,
x = ((this.traveled * b.x) + (t * a.x)) / d,
y = ((this.traveled * b.y) + (t * a.y)) / d,
z = ((this.traveled * b.z) + (t * a.z)) / d;
pos = position(x, y, z);
//console.log(this.verts[0]+' traveling to vertex '+(this.linked.length+1)+' of '+this.verts.length+' ('+this.traveled+' of '+this.distances[this.linked.length]+')');
points.push([pos.x, pos.y]);
}
this.drawLine(points);
}
else {
//console.log(this.verts[0]+' prematurely moving to stage 3 (1)');
this.stage = 3;
this.finished = true;
}
break;
// FADE OUT STAGE
case 2:
if (this.verts.length > 1) {
if (this.fade < linkFade) {
this.fade++;
// Render full link between all vertices and fade over time
points = [];
var alpha = (1 - (this.fade / linkFade)) * linkOpacity;
for (i = 0; i < this.verts.length; i++) {
p = particles[this.verts[i]];
pos = position(p.x, p.y, p.z);
points.push([pos.x, pos.y]);
}
this.drawLine(points, alpha);
}
else {
//console.log(this.verts[0]+' moving to stage 3 (2a)');
this.stage = 3;
this.finished = true;
}
}
else {
//console.log(this.verts[0]+' prematurely moving to stage 3 (2b)');
this.stage = 3;
this.finished = true;
}
break;
// FINISHED STAGE
case 3:
default:
this.finished = true;
break;
}
};
Link.prototype.drawLine = function(points, alpha) {
if (typeof alpha !== 'number') alpha = linkOpacity;
if (points.length > 1 && alpha > 0) {
//console.log(this.verts[0]+': Drawing line '+alpha);
context.globalAlpha = alpha;
context.beginPath();
for (var i = 0; i < points.length-1; i++) {
context.moveTo(points[i][0], points[i][1]);
context.lineTo(points[i+1][0], points[i+1][1]);
}
context.strokeStyle = color;
context.lineWidth = lineWidth;
context.stroke();
context.closePath();
context.globalAlpha = 1;
}
};
// Utils
function noisePoint(i) {
var a = nAngle * i,
cosA = Math.cos(a),
sinA = Math.sin(a),
//value = simplex.noise2D(nScale * cosA + nScale, nScale * sinA + nScale),
//rad = nRad + value;
rad = nRad;
return {
x: rad * cosA,
y: rad * sinA
};
}
function position(x, y, z) {
return {
x: (x * canvas.width) + ((((canvas.width / 2) - mouse.x + ((nPos.x - 0.5) * noiseStrength)) * z) * motion),
y: (y * canvas.height) + ((((canvas.height / 2) - mouse.y + ((nPos.y - 0.5) * noiseStrength)) * z) * motion)
};
}
function sizeRatio() {
return canvas.width >= canvas.height ? canvas.width : canvas.height;
}
function random(min, max, float) {
return float ?
Math.random() * (max - min) + min :
Math.floor(Math.random() * (max - min + 1)) + min;
}
// init
if (canvas) init();
html,
body {
margin: 0;
padding: 0;
}
body {
background-color: #31102F;
background: radial-gradient(ellipse at center, #31102f 0%, #280b29 100%);
}
#stars {
display: block;
position: relative;
width: 100%;
height: 16rem;
height: 100vh;
z-index: 1;
}
<script src="https://rawgit.com/ironwallaby/delaunay/master/delaunay.js"></script>
<canvas id="stars" width="300" height="300"></canvas>

cycling star-field animation

I made this star-field animation in javascript. I'm just not sure the best way to make it cycle the same animation from the other side. I like to get the stars to scroll across from one side of the canvas to the other.
var canvas = document.getElementById("myCanvas");
var ctx = canvas.getContext("2d");
stars = [];
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, 500, 500);
function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min + 1)) + min;
}
function getSpeed(depth) {
switch (depth / 2) {
case 0:
return 6;
case 1:
return 5;
case 2:
return 4;
case 3:
return 3;
case 4:
return 2;
case 5:
return 1;
}
}
var i;
for (i = 0; i < 2000; i++) {
var star = {
x: 0,
y: 0,
z: 0,
v: 0
};
star.x = getRandomInt(0, 500);
star.y = getRandomInt(0, 500);
star.z = getRandomInt(0, 5) * 2;
star.v = getSpeed(star.z);
stars.push(star);
}
function animation() {
//clears background
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, 500, 500);
// populates space with stars
for (i = 0; i < 2000; i++) {
ctx.fillStyle = "rgb(" + (256 / stars[i].z) + "," + (256 / stars[i].z) + "," + (256 / stars[i].z) + ")";
ctx.fillRect(stars[i].x, stars[i].y, 2, 2);
stars[i].x += stars[i].v;
}
setTimeout(animation, 33);
}
animation();
<canvas id="myCanvas"></canvas>

Just reset the x value when it drops below zero.
if (star.x < 0) star.x = canvasWidth;
I've made a few other changes, compare.
function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min + 1)) + min;
}
function StarField(ctx, numStars, width, height) {
var stars = new Array(numStars).fill(null).map(getStar);
function getStar() {
var z = getRandomInt(0, 5),
c = (256 / z).toString(16);
return {
x: getRandomInt(0, width),
y: getRandomInt(0, height),
z: z * 2,
v: 6 - z,
c: "#" + c + c + c
};
}
this.animate = function () {
var i, s;
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, width, height);
for (i = 0; i < numStars; i++) {
s = stars[i];
ctx.fillStyle = s.c;
ctx.fillRect(s.x, s.y, 2, 2);
s.x -= s.v;
if (s.x < 0) s.x = width;
}
setTimeout(this.animate.bind(this), 32);
};
}
var canvas = document.getElementById("myCanvas");
var s = new StarField(canvas.getContext("2d"), 2000, 500, 500);
s.animate();
<canvas id="myCanvas"></canvas>

To reverse
stars[i].x -= stars[i].v;
You could loop forever and when i==1999, multiply v with -1 and set i to 0 again
var canvas = document.getElementById("myCanvas");
var ctx = canvas.getContext("2d");
stars = [];
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, 500, 500);
function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min + 1)) + min;
}
function getSpeed(depth) {
switch (depth / 2) {
case 0:
return 6;
case 1:
return 5;
case 2:
return 4;
case 3:
return 3;
case 4:
return 2;
case 5:
return 1;
}
}
var i;
for (i = 0; i < 2000; i++) {
var star = {
x: 0,
y: 0,
z: 0,
v: 0
};
star.x = getRandomInt(0, 500);
star.y = getRandomInt(0, 500);
star.z = getRandomInt(0, 5) * 2;
star.v = getSpeed(star.z);
stars.push(star);
}
function animation() {
//clears background
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, 500, 500);
// populates space with stars
for (i = 0; i < 2000; i++) {
ctx.fillStyle = "rgb(" + (256 / stars[i].z) + "," + (256 / stars[i].z) + "," + (256 / stars[i].z) + ")";
ctx.fillRect(stars[i].x, stars[i].y, 2, 2);
stars[i].x -= stars[i].v;
}
setTimeout(animation, 33);
}
animation();
<canvas id="myCanvas"></canvas>

you can see that the stars go both ways by adding the new property d (direction) and the direction changes when the stars reach to the end of the screen...
<!DOCTYPE html>
<html>
<body>
<canvas id="myCanvas"></canvas>
<script>
var canvas = document.getElementById("myCanvas");
var ctx = canvas.getContext("2d");
stars = [];
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, 500, 500);
function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min + 1)) + min;
}
function getSpeed( depth)
{
switch(depth/2)
{
case 0:
return 6;
case 1:
return 5;
case 2:
return 4;
case 3:
return 3;
case 4:
return 2;
case 5:
return 1;
}
}
var i;
for (i = 0; i < 2000; i++) {
var star= { x: 0, y: 0, z: 0, v: 0 };
star.x = getRandomInt(0, 500);
star.y = getRandomInt(0, 500);
star.z = getRandomInt(0, 5) * 2;
star.v = getSpeed(star.z);
star.d = 1;
stars.push(star);
}
function animation () {
//clears background
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, 500, 500);
// populates space with stars
for (i = 0; i < 2000; i++) {
ctx.fillStyle = "rgb(" + (256 / stars[i].z) + "," + (256 / stars[i].z) + "," + (256 / stars[i].z) + ")";
ctx.fillRect(stars[i].x, stars[i].y, 2, 2);
if(stars[i].x>=500)stars[i].d=-1;
if(stars[i].x<=0)stars[i].d=1;
stars[i].x += stars[i].v * stars[i].d;
}
setTimeout(animation, 33);
}
animation ();
</script>
</body>
</html>

To move and repeat use the remainder operator %. Because it returns negative values you have to mess about a little to make sure that the numbers are always positive. Also you want to make sure that the stars only move to the other side of the canvas when they are completely off one side so the modulo value must include the star size 500+2.
Thus star pos x
x %= 502; // get remainder could be negative
x += 502; // ensure it is positive
x %= 502; // do modulo again
How I did it in your example
// set up
var w = canvas.width;
var h = canvas.height;
const starCount = 2000;
const starSize = 2;
const widthModulo = w + starSize;
const heightModulo = h + starSize;
// in iteration
x = ((star.x % widthModulo) + widthModulo) % widthModulo - starSize / 2;
y = ((star.y % heightModulo) + heightModulo) % heightModulo - starSize / 2;
// draw the star
ctx.fillRect(x, y, starSize, starSize);
I have changed your code to have the stars go in many directions to show how well this method works. Also have added a few other changes. The main one is using requestAnimationFrame to call the animation function.
var ctx = canvas.getContext("2d");
const stars = [];
var dir = Math.PI;
var w = canvas.width;
var h = canvas.height;
const starCount = 2000;
const starSize = 2;
const widthModulo = w + starSize;
const heightModulo = h + starSize;
function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min + 1)) + min;
}
var i;
for (i = 0; i < starCount; i++) {
// following 4 randoms give a semi bell curve to the random value
// this is to make more star at lower z values
var z = (Math.random() + Math.random() +Math.random() +Math.random());
z = Math.abs(z-2) * 8;
var col = Math.floor(16 * z);
stars.push({
x: getRandomInt(0, w),
y: getRandomInt(0, h),
v: z / 6,
col : "rgb("+col+","+col+","+col+")",
});
}
stars.sort((a,b)=>a.v - b.v); // sort from back to front
function animation (timer) {
var star, dx, dy, x, y, i;
// set the direction to make stars move in long circles
dir = (Math.sin(timer / 13289) + 1) * Math.PI ;
//clears background
ctx.fillStyle = "#000000";
ctx.fillRect(0, 0, w, h);
// get direction vector
dx = Math.cos(dir);
dy = Math.sin(dir);
for (i = 0; i < starCount; i += 1) {
star = stars[i];
ctx.fillStyle = star.col;
// move the star
star.x += star.v * dx;
star.y += star.v * dy;
// make sure that stars are rendered on the current viewport
x = ((star.x % widthModulo) + widthModulo) % widthModulo - starSize / 2;
y = ((star.y % heightModulo) + heightModulo) % heightModulo - starSize / 2;
// draw the star
ctx.fillRect(x, y, starSize, starSize);
}
requestAnimationFrame(animation);
}
requestAnimationFrame(animation);
<canvas id=canvas width = 500 height = 500></canvas>

how can i make two objects belonging to the same array move independently of each other using javascript and the canvas tag?

I am trying to create a blackhole simulation, where all the balls that are outside of it go away from it at a given speed and those that fall on it are dragged towards the circle until they reach the center of it, where they would stop and disappear, here is my code:
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<title>blackhole simulation escape velocity</title>
<script>
var canvas, ctx;
var blackhole;
var circle;
var circles = new Array();
var G = 6.67e-11, //gravitational constant
pixel_G = G / 1e-11,
c = 3e8, //speed of light (m/s)
M = 12e31, // masseof the blackhole in kg (60 solar masses)
pixel_M = M / 1e32
Rs = (2 * G * M) / 9e16, //Schwarzchild radius
pixel_Rs = Rs / 1e3, // scaled radius
ccolor = 128;
function update() {
var pos, i, distance, somethingMoved = false;
for (i = 0; i < circles.length; i++) {
pos = circles[i].position;
distance = Math.sqrt(((pos.x - 700) * (pos.x - 700)) + ((pos.y - 400) * (pos.y - 400)));
if (distance > pixel_Rs-5 ) {
var delta = new Vector2D(0, 0);
var forceDirection = Math.atan2(pos.y - 400, pos.x - 700);
var evelocity = Math.sqrt((2 * pixel_G * pixel_M) / (distance * 1e-2));
delta.x += Math.cos(forceDirection) * evelocity;
delta.y += Math.sin(forceDirection) * evelocity;
pos.x += delta.x;
pos.y += delta.y;
somethingMoved = true;
} else {
var delta2 = new Vector2D (0,0);
var forceDirection2 = Math.atan2(pos.y - 400, pos.x - 700);
var g = (pixel_G*pixel_M)/(distance*distance*1e2);
delta2.x += Math.cos(forceDirection2)*g;
delta2.y += Math.sin(forceDirection2)*g;
pos.x -= delta2.x;
pos.y -= delta2.y;
somethingMoved = true;
circles[i].color -= 1;
if (pos.x == 700 && pos.y == 400){
somethingMoved = false;
};
}
}
if (somethingMoved) {
drawEverything();
requestAnimationFrame(update);
};
}
function drawEverything() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
blackhole.draw(ctx);
for (var i = 0; i < circles.length; i++) {
circles[i].draw(ctx);
}
}
function init(event) {
canvas = document.getElementById("space");
ctx = canvas.getContext('2d');
blackhole = new Ball(pixel_Rs, { x: 700,
y: 400 }, 0);
for (var i = 0; i < 200; i++) {
var vec2D = new Vector2D(Math.floor(Math.random() * 1400), Math.floor(Math.random() * 800));
circle = new Ball(5, vec2D, ccolor);
circles.push(circle);
}
drawEverything();
requestAnimationFrame(update);
}
function Ball(radius, position, color) {
this.radius = radius;
this.position = position;
this.color = color;
}
Ball.prototype.draw = function(ctx) {
var c=parseInt(this.color);
ctx.fillStyle = 'rgba(' + c + ',' + c + ',' + c + ',1)';
ctx.beginPath();
ctx.arc(this.position.x, this.position.y, this.radius, 0, 2 * Math.PI);
ctx.closePath();
ctx.fill();
};
function Vector2D(x, y) {
this.x = x;
this.y = y;
}
function onClick (){
canvas = document.getElementById ('space');
ctx = canvas.getContext ('2d')
canvas.addEventListener ("mousedown", init, false)
blackhole = new Ball (5, {x: 700,
y: 400 }, 0);
blackhole.draw (ctx) ;
}
window.onload = onClick;
</script>
<style>
body {
background-color:#021c36 ;
margin: 0px;
}
</style>
</head>
<body>
<canvas id = "space", width = "1400", height = "800">
</canvas>
</body>
</html>
Now as you can see, I created a second variable called delta2, but the problem is that it can't update the position of the circles, which in term makes it impossible to move the circle, can someone tell me what is wrong. Also, how can I make the big black circle after a certain amount of time, i know i probably should create a timer, but i don't know how they work

The gravity is too weak. I put a pseudo gravity to demonstrate.
var canvas, ctx;
var blackhole;
var circle;
var circles = new Array();
var bh = {
w:500,
h:300
};
bh.cx = Math.floor(bh.w/2);
bh.cy = Math.floor(bh.h/2)
var G = 6.67e-11, //gravitational constant
pixel_G = G / 1e-11,
c = 3e8, //speed of light (m/s)
M = 12e31, // masseof the blackhole in kg (60 solar masses)
pixel_M = M / 1e32
Rs = (2 * G * M) / 9e16, //Schwarzchild radius
pixel_Rs = Rs / 1e3, // scaled radius
ccolor = 128;
function update() {
var pos, i, distance, somethingMoved = false;
for (i = 0; i < circles.length; i++) {
pos = circles[i].position;
distance = Math.sqrt(((pos.x - bh.cx) * (pos.x - bh.cx)) + ((pos.y - bh.cy) * (pos.y - bh.cy)));
if (distance > pixel_Rs - 5) {
var delta = new Vector2D(0, 0);
var forceDirection = Math.atan2(pos.y - bh.cy, pos.x - bh.cx);
var evelocity = Math.sqrt((2 * pixel_G * pixel_M) / (distance * 1e-2));
delta.x += Math.cos(forceDirection) * evelocity;
delta.y += Math.sin(forceDirection) * evelocity;
pos.x += delta.x;
pos.y += delta.y;
somethingMoved = true;
} else {
var delta2 = new Vector2D(0, 0);
var forceDirection2 = Math.atan2(pos.y - bh.cy, pos.x - bh.cx);
// FIX THIS!!!
var g = 1;//(pixel_G * pixel_M) / (distance * distance * 1e2);
delta2.x += Math.cos(forceDirection2) * g;
delta2.y += Math.sin(forceDirection2) * g;
pos.x -= delta2.x;
pos.y -= delta2.y;
somethingMoved = true;
circles[i].color -= 1;
if (pos.x == bh.cx && pos.y == bh.cy) {
somethingMoved = false;
};
}
}
if (somethingMoved) {
drawEverything();
requestAnimationFrame(update);
};
}
function drawEverything() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
blackhole.draw(ctx);
for (var i = 0; i < circles.length; i++) {
circles[i].draw(ctx);
}
}
function init(event) {
canvas = document.getElementById("space");
canvas.width = bh.w;
canvas.height = bh.h;
ctx = canvas.getContext('2d');
blackhole = new Ball(5, { //pixel_Rs, {
x: bh.cx,
y: bh.cy
}, 0);
for (var i = 0; i < 200; i++) {
var vec2D = new Vector2D(Math.floor(Math.random() * bh.w), Math.floor(Math.random() * bh.h));
circle = new Ball(5, vec2D, ccolor);
circles.push(circle);
}
drawEverything();
requestAnimationFrame(update);
}
function Ball(radius, position, color) {
this.radius = radius;
this.position = position;
this.color = color;
}
Ball.prototype.draw = function(ctx) {
var c = parseInt(this.color);
ctx.fillStyle = 'rgba(' + c + ',' + c + ',' + c + ',1)';
ctx.beginPath();
ctx.arc(this.position.x, this.position.y, this.radius, 0, 2 * Math.PI);
ctx.closePath();
ctx.fill();
};
function Vector2D(x, y) {
this.x = x;
this.y = y;
}
function onClick() {
canvas = document.getElementById('space');
ctx = canvas.getContext('2d')
canvas.addEventListener("mousedown", init, false)
blackhole = new Ball(5, {
x: bh.cx,
y: bh.cy
}, 0);
blackhole.draw(ctx);
}
window.onload = onClick;
body {
background-color: #021c36;
margin: 0px;
}
<canvas id="space" , width="700" , height="400"></canvas>

Circle animation random color

Hi I try to create an animation with a circle. The function drawRandom(drawFunctions) should pic one of the three drawcircle functions and should bring it on the canvas. Now the problem is that this function become executed every second (main loop) and the circle change his colour. How can I fix that?
window.onload = window.onresize = function() {
var C = 1; // canvas width to viewport width ratio
var el = document.getElementById("myCanvas");
var viewportWidth = window.innerWidth;
var viewportHeight = window.innerHeight;
var canvasWidth = viewportWidth * C;
var canvasHeight = viewportHeight;
el.style.position = "fixed";
el.setAttribute("width", canvasWidth);
el.setAttribute("height", canvasHeight);
var x = canvasWidth / 100;
var y = canvasHeight / 100;
var ballx = canvasWidth / 100;
var n;
window.ctx = el.getContext("2d");
ctx.clearRect(0, 0, canvasWidth, canvasHeight);
// draw triangles
function init() {
ballx;
return setInterval(main_loop, 1000);
}
function drawcircle1()
{
var radius = x * 5;
ctx.beginPath();
ctx.arc(ballx * 108, canvasHeight / 2, radius, 0, 2 * Math.PI, false);
ctx.fillStyle = 'yellow';
ctx.fill();
}
function drawcircle2()
{
var radius = x * 5;
ctx.beginPath();
ctx.arc(ballx * 108, canvasHeight / 2, radius, 0, 2 * Math.PI, false);
ctx.fillStyle = 'blue';
ctx.fill();
}
function drawcircle3()
{
var radius = x * 5;
ctx.beginPath();
ctx.arc(ballx * 105, canvasHeight / 2, radius, 0, 2 * Math.PI, false);
ctx.fillStyle = 'orange';
ctx.fill();
}
function draw() {
var counterClockwise = false;
ctx.clearRect(0, 0, canvasWidth, canvasHeight);
//first halfarc
ctx.beginPath();
ctx.arc(x * 80, y * 80, y * 10, 0 * Math.PI, 1 * Math.PI, counterClockwise);
ctx.lineWidth = y * 1;
ctx.strokeStyle = 'black';
ctx.stroke();
// draw stop button
ctx.beginPath();
ctx.moveTo(x * 87, y * 2);
ctx.lineTo(x * 87, y * 10);
ctx.lineWidth = x;
ctx.stroke();
ctx.beginPath();
ctx.moveTo(x * 95, y * 2);
ctx.lineTo(x * 95, y * 10);
ctx.lineWidth = x;
ctx.stroke();
function drawRandom(drawFunctions){
//generate a random index
var randomIndex = Math.floor(Math.random() * drawFunctions.length);
//call the function
drawFunctions[randomIndex]();
}
drawRandom([drawcircle1, drawcircle2, drawcircle3]);
}
function update() {
ballx -= 0.1;
if (ballx < 0) {
ballx = -radius;
}
}
function main_loop() {
draw();
update();
collisiondetection();
}
init();
function initi() {
console.log('init');
// Get a reference to our touch-sensitive element
var touchzone = document.getElementById("myCanvas");
// Add an event handler for the touchstart event
touchzone.addEventListener("mousedown", touchHandler, false);
}
function touchHandler(event) {
// Get a reference to our coordinates div
var can = document.getElementById("myCanvas");
// Write the coordinates of the touch to the div
if (event.pageX < x * 50 && event.pageY > y * 10) {
ballx += 1;
} else if (event.pageX > x * 50 && event.pageY > y * 10 ) {
ballx -= 1;
}
console.log(event, x, ballx);
draw();
}
initi();
draw();
}

Take a look at my code that I wrote:
var lastTime = 0;
function requestMyAnimationFrame(callback, time)
{
var t = time || 16;
var currTime = new Date().getTime();
var timeToCall = Math.max(0, t - (currTime - lastTime));
var id = window.setTimeout(function(){ callback(currTime + timeToCall); }, timeToCall);
lastTime = currTime + timeToCall;
return id;
}
var canvas = document.getElementById("canvas");
var context = canvas.getContext("2d");
canvas.width = window.innerWidth - 20;
canvas.height = window.innerHeight - 20;
canvas.style.width = canvas.width + "px";
canvas.style.height = canvas.height + "px";
var circles = [];
var mouse =
{
x: 0,
y: 0
}
function getCoordinates(x, y)
{
return "(" + x + ", " + y + ")";
}
function getRatio(n, d)
{
// prevent division by 0
if (d === 0 || n === 0)
{
return 0;
}
else
{
return n/d;
}
}
function Circle(x,y,d,b,s,c)
{
this.x = x;
this.y = y;
this.diameter = Math.round(d);
this.radius = Math.round(d/2);
this.bounciness = b;
this.speed = s;
this.color = c;
this.deltaX = 0;
this.deltaY = 0;
this.drawnPosition = "";
this.fill = function()
{
context.beginPath();
context.arc(this.x+this.radius,this.y+this.radius,this.radius,0,Math.PI*2,false);
context.closePath();
context.fill();
}
this.clear = function()
{
context.fillStyle = "#ffffff";
this.fill();
}
this.draw = function()
{
if (this.drawnPosition !== getCoordinates(this.x, this.y))
{
context.fillStyle = this.color;
// if commented, the circle will be drawn if it is in the same position
//this.drawnPosition = getCoordinates(this.x, this.y);
this.fill();
}
}
this.keepInBounds = function()
{
if (this.x < 0)
{
this.x = 0;
this.deltaX *= -1 * this.bounciness;
}
else if (this.x + this.diameter > canvas.width)
{
this.x = canvas.width - this.diameter;
this.deltaX *= -1 * this.bounciness;
}
if (this.y < 0)
{
this.y = 0;
this.deltaY *= -1 * this.bounciness;
}
else if (this.y+this.diameter > canvas.height)
{
this.y = canvas.height - this.diameter;
this.deltaY *= -1 * this.bounciness;
}
}
this.followMouse = function()
{
// deltaX/deltaY will currently cause the circles to "orbit" around the cursor forever unless it hits a wall
var centerX = Math.round(this.x + this.radius);
var centerY = Math.round(this.y + this.radius);
if (centerX < mouse.x)
{
// circle is to the left of the mouse, so move the circle to the right
this.deltaX += this.speed;
}
else if (centerX > mouse.x)
{
// circle is to the right of the mouse, so move the circle to the left
this.deltaX -= this.speed;
}
else
{
//this.deltaX = 0;
}
if (centerY < mouse.y)
{
// circle is above the mouse, so move the circle downwards
this.deltaY += this.speed;
}
else if (centerY > mouse.y)
{
// circle is under the mouse, so move the circle upwards
this.deltaY -= this.speed;
}
else
{
//this.deltaY = 0;
}
this.x += this.deltaX;
this.y += this.deltaY;
this.x = Math.round(this.x);
this.y = Math.round(this.y);
}
}
function getRandomDecimal(min, max)
{
return Math.random() * (max-min) + min;
}
function getRoundedNum(min, max)
{
return Math.round(getRandomDecimal(min, max));
}
function getRandomColor()
{
// array of three colors
var colors = [];
// go through loop and add three integers between 0 and 255 (min and max color values)
for (var i = 0; i < 3; i++)
{
colors[i] = getRoundedNum(0, 255);
}
// return rgb value (RED, GREEN, BLUE)
return "rgb(" + colors[0] + "," + colors[1] + ", " + colors[2] + ")";
}
function createCircle(i)
{
// diameter of circle
var minDiameter = 25;
var maxDiameter = 50;
// bounciness of circle (changes speed if it hits a wall)
var minBounciness = 0.2;
var maxBounciness = 0.65;
// speed of circle (how fast it moves)
var minSpeed = 0.3;
var maxSpeed = 0.45;
// getRoundedNum returns a random integer and getRandomDecimal returns a random decimal
var x = getRoundedNum(0, canvas.width);
var y = getRoundedNum(0, canvas.height);
var d = getRoundedNum(minDiameter, maxDiameter);
var c = getRandomColor();
var b = getRandomDecimal(minBounciness, maxBounciness);
var s = getRandomDecimal(minSpeed, maxSpeed);
// create the circle with x, y, diameter, bounciness, speed, and color
circles[i] = new Circle(x,y,d,b,s,c);
}
function makeCircles()
{
var maxCircles = getRoundedNum(2, 5);
for (var i = 0; i < maxCircles; i++)
{
createCircle(i);
}
}
function drawCircles()
{
var ii = 0;
for (var i = 0; ii < circles.length; i++)
{
if (circles[i])
{
circles[i].draw();
ii++;
}
}
}
function clearCircles()
{
var ii = 0;
for (var i = 0; ii < circles.length; i++)
{
if (circles[i])
{
circles[i].clear();
ii++;
}
}
}
function updateCircles()
{
var ii = 0;
for (var i = 0; ii < circles.length; i++)
{
if (circles[i])
{
circles[i].keepInBounds();
circles[i].followMouse();
ii++;
}
}
}
function update()
{
requestMyAnimationFrame(update,10);
updateCircles();
}
function draw()
{
requestMyAnimationFrame(draw,1000/60);
context.clearRect(0,0,canvas.width,canvas.height);
drawCircles();
}
window.addEventListener("load", function()
{
window.addEventListener("mousemove", function(e)
{
mouse.x = e.layerX || e.offsetX;
mouse.y = e.layerY || e.offsetY;
});
makeCircles();
update();
draw();
});

Error reading 'Cannot read property 'x' of undefined' in HTML5 Canvas code

I am having a problem with my JavaScript code. Since I made it so that you could delete shapes from the canvas an error is appearing when I try adding additional shapes to the canvas. The error reads: 'Cannot read property 'x' of undefined'. When the error appears, it quotes line 116 of the code, which reads: 'var dx = tmpRingB.x - tmpRing.x;'. I need to make it so this error does not appear. The code is as below.
var shapeObj = function (counter, context, canvas, settingsBox) {
//Where sound info goes (freq, vol, amp, adsr etc)
this.id = "shape"+counter;
this.ctx = context;
this.canvas = canvas;
this.sBox = settingsBox;
this.audioProperties = {
duration: Math.random()*1-0.1,
frequency: Math.random()*44000-220
}
this.x = Math.random()*this.ctx.canvas.width;
this.y = Math.random()*this.ctx.canvas.height;
this.radius = 40;
this.vx = Math.random()*6-3;
this.vy = Math.random()*6-3;
this.draw = function () {
this.ctx.beginPath();
this.ctx.arc(this.x, this.y, this.radius, 0, Math.PI*2, false);
this.ctx.closePath();
this.ctx.stroke();
}
this.clickTest = function (e) {
var canvasOffset = this.canvas.offset();
var canvasX = Math.floor(e.pageX-canvasOffset.left);
var canvasY = Math.floor(e.pageY-canvasOffset.top);
var dX = this.x-canvasX;
var dY = this.y-canvasY;
var distance = Math.sqrt((dX*dX)+(dY*dY));
if (distance <= this.radius) {
this.manageClick();
}
};
this.manageClick = function(){
alert('this is ' + this.id);
this.sBox.populate(this.audioProperties, this);
this.radius -= 10;
}
this.update = function(newProps){
// repopulate the shapes with new settings
}
}
var settingsBox = function (){
this.populate = function(props, obj){
for (a in props){
alert(props[a]);
}
}
}
$(document).ready(function() {
var canvas = $('#myCanvas');
var ctx = canvas.get(0).getContext("2d");
var canvasWidth = canvas.width();
var canvasHeight = canvas.height();
$(window).resize(resizeCanvas);
function resizeCanvas() {
canvas.attr("width", $(window).get(0).innerWidth - 2);
canvas.attr("height", $(window).get(0).innerHeight - 124);
canvasWidth = canvas.width();
canvasHeight = canvas.height();
};
resizeCanvas();
canvas.onselectstart = function () { return false; }
ctx.strokeStyle = "rgb(255, 255, 255)";
ctx.lineWidth = 5;
var playAnimation = true;
$(canvas).click(function(e) {
for (i = 0; i < objects.length; i++) {
objects[i].clickTest(e);
}
});
objects = [];
sBox = new settingsBox();
for (var i = 0; i < 4; i++) {
var ring = new shapeObj(i, ctx, canvas, sBox);
objects[i] = ring;
objects[i].draw();
}
$("#button4").click(function() {
var ring = new shapeObj(i, ctx, canvas, sBox);
objects[i] = ring;
objects[i++].draw();
playSoundA();
});
function animate() {
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
deadObjects = [];
for (var i = 0; i < objects.length; i++) {
var tmpRing = objects[i];
for (var j = i+1; j < objects.length; j++) {
var tmpRingB = objects[j];
var dx = tmpRingB.x - tmpRing.x;
var dy = tmpRingB.y - tmpRing.y;
var dist = Math.sqrt((dx * dx) + (dy * dy));
if(dist < tmpRing.radius + tmpRingB.radius) {
playSound();
//Put collision animations here!!!
var angle = Math.atan2(dy, dx);
var sine = Math.sin(angle);
var cosine = Math.cos(angle);
var x = 0;
var y = 0;
var xb = dx * cosine + dy * sine;
var yb = dy * cosine - dx * sine;
var vx = tmpRing.vx * cosine + tmpRing.vy * sine;
var vy = tmpRing.vy * cosine - tmpRing.vx * sine;
var vxb = tmpRingB.vx * cosine + tmpRingB.vy * sine;
var vyb = tmpRingB.vy * cosine - tmpRingB.vx * sine;
vx *= -1;
vxb *= -1;
xb = x + (tmpRing.radius + tmpRingB.radius);
tmpRing.x = tmpRing.x + (x * cosine - y * sine);
tmpRing.y = tmpRing.y + (y * cosine + x * sine);
tmpRingB.x = tmpRing.x + (xb * cosine - yb * sine);
tmpRingB.y = tmpRing.y + (yb * cosine + xb * sine);
tmpRing.vx = vx * cosine - vy * sine;
tmpRing.vy = vy * cosine + vx * sine;
tmpRingB.vx = vxb * cosine - vyb * sine;
tmpRingB.vy = vyb * cosine + vxb * sine;
tmpRing.loop = true;
};
};
tmpRing.x += tmpRing.vx;
tmpRing.y += tmpRing.vy;
if (tmpRing.x - tmpRing.radius < 0) {
playSound();
tmpRing.x = tmpRing.radius;
tmpRing.vx *= -1;
} else if (tmpRing.x + tmpRing.radius > ctx.canvas.width) {
playSound();
tmpRing.x = ctx.canvas.width - tmpRing.radius;
tmpRing.vx *= -1;
};
if (tmpRing.y - tmpRing.radius < 0) {
playSound();
tmpRing.y = tmpRing.radius;
tmpRing.vy *= -1;
} else if (tmpRing.y + tmpRing.radius > ctx.canvas.height) {
playSound();
tmpRing.y = ctx.canvas.height - tmpRing.radius;
tmpRing.vy *= -1;
};
if(tmpRing.radius <= 0) {
deadObjects.push(tmpRing);
}
objects[i].draw();
};
if (deadObjects.length > 0) {
for (var d = 0; d < deadObjects.length; d++) {
var tmpDeadObject = deadObjects[d];
objects.splice(objects.indexOf(tmpDeadObject), 1);
}
}
if(playAnimation) {
setTimeout(animate, 33);
};
};
animate();
});
Any ideas?
Thanks for the help.

Your object is undefined because you've deleted it. A simple solution is to check to see if the object is still defined.
insert the following line just before the line with the error.
if(!(tmpRingB && tmpRing)) continue;
a better solution is to clean house on your array when you delete it.

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