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how to decrease speed of canvas animation?

I am creating an animation using java script & canvas. I am using a fiddle as a reference, currently object are generating randomly & falling from top right corner to bottom left corner which is okay. but the issue is speed the objects are generating & falling in high speed. I want to make animation flow little slow & smooth.
I am new canvas programming, any help will be very useful.
(function() {
var requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame || window.msRequestAnimationFrame ||
function(callback) {
window.setTimeout(callback, 1000 / 60);
};
window.requestAnimationFrame = requestAnimationFrame;
})();
var particleArr = [],
canvas = document.getElementById("canvas"),
ctx = canvas.getContext("2d"),
flakeCount = 700,
mouseX = -100,
mouseY = -100,
xMultiplier = 0.015
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
function getRandomColor() {
// Random Color Generate
const colorArr = ["rgba(215,88,69, 1)", "rgba(117, 161, 199, 1)"]; // Blue & Orange Color
const randomColor = colorArr[Math.floor(Math.random() * colorArr.length)];
return randomColor;
}
function flow() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
for (var i = 0; i < flakeCount; i++) {
var flake = particleArr[i],
x = mouseX,
y = mouseY,
minDist = 150,
x2 = flake.x,
y2 = flake.y;
var dist = Math.sqrt((x2 - x) * (x2 - x) + (y2 - y) * (y2 - y)),
dx = x2 - x,
dy = y2 - y;
if (dist < minDist) {
var force = minDist / (dist * dist),
xcomp = (x - x2) / dist,
ycomp = (y - y2) / dist,
deltaV = force / 2;
flake.velX -= deltaV * xcomp;
flake.velY -= deltaV * ycomp;
} else {
flake.velX *= .98;
if (flake.velY <= flake.speed) {
flake.velY = flake.speed
}
flake.velX += Math.cos(flake.step += .05) * flake.stepSize;
}
ctx.fillStyle = getRandomColor();
flake.y += flake.velY;
flake.x += flake.velX;
if (flake.y >= canvas.height || flake.y <= 0) {
reset(flake);
}
if (flake.x >= canvas.width || flake.x <= 0) {
reset(flake);
}
ctx.beginPath();
ctx.arc(flake.x, flake.y, flake.size, 0, Math.PI * 2);
ctx.fill();
}
requestAnimationFrame(flow);
};
function reset(flake) {
let temp = (Math.random() * 1) + 0.5;
flake.x = canvas.width;
flake.y = 50;
flake.size = (Math.random() * 3) + 5;
flake.speed = (Math.random() * 7) + 0.5;
flake.velY = flake.speed;
flake.velX = -xMultiplier * canvas.width * temp;
// flake.opacity = (Math.random() * 0.5) + 0.3;
}
function init() {
for (var i = 0; i < flakeCount; i++) {
var x = canvas.width,
y = 50,
size = (Math.random() * 3) + 5,
// speed = (Math.random() * 1) + 0.5;
speed = 0;
// opacity = (Math.random() * 0.5) + 0.3;
particleArr.push({
speed: speed,
velY: speed,
velX: -xMultiplier * canvas.width * speed,
x: x,
y: y,
size: size,
stepSize: (Math.random()) / 30,
step: 0,
angle: 360
// opacity: opacity
});
}
flow();
};
canvas.addEventListener("mousemove", function(e) {
mouseX = e.clientX,
mouseY = e.clientY
});
window.addEventListener('resize', onWindowResize, false);
function onWindowResize() {
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
}
init();
canvas {
background-color: #000000 !important;
}
body {
margin: 0;
overflow: hidden;
}
<canvas id="canvas"></canvas>

Could not work out what it was you wanted to slow down as there are several FX and interactions in the code.
I rewrote from the ground up as your code is a little old school.
Rather than play with the constants you had OI added the global variable rate (at the ver top of the source) is used to control the rate at which the animation plays, including the user interaction.
I have added two button to slow or speed up the animation.
Hope this helps :)
var rate = 1;
slower.addEventListener("click", () => rate *= 1 / 1.2);
faster.addEventListener("click", () => rate *= 1.2);
const flakes = [], flakeCount = 700, xMultiplier = 0.015;
const minDist = 150, minDistSqr = minDist * minDist;
const colors = ["#F99","#F83","#AF9","#ED9","#AC8","#FA9" ];
const ctx = canvas.getContext("2d");
const mouse = {x: -100, y: -100};
const randPick = (arr, len = arr.length) => arr[Math.random() * len | 0];
Math.rand = (min, range) => Math.random() * range + min;
function Flake() {
this.reset();
this.stepSize = Math.random() / 30;
this.step = 0;
}
Flake.prototype = {
reset() {
this.x = canvas.width;
this.y = 50;
this.size = Math.rand(5, 3);
this.speed = Math.rand(0.5, 7);
this.velY = this.speed;
this.velX = -xMultiplier * canvas.width * Math.rand(0.5, 1);
this.col = randPick(colors);
},
draw() {
ctx.fillStyle = this.col;
const s = this.size, sh = -s / 2;
ctx.fillRect(this.x + sh, this.y + sh, s, s);
},
update(w, h) {
const f = this;
const dx = f.x - mouse.x;
const dy = f.y - mouse.y;
const distSqr = dx * dx + dy * dy;
if (distSqr < minDistSqr) {
const deltaV = 2 * minDist * rate / distSqr ** 1.5;
f.velX -= deltaV * dx;
f.velY -= deltaV * dy;
} else {
f.velX -= 0.1 * rate * f.velX;
if (f.velY <= f.speed ) { f.velY = f.speed }
f.velX += Math.cos(f.step += 0.05 * rate) * f.stepSize * rate;
}
f.y += f.velY * rate;
f.x += f.velX * rate;
if (f.y >= h || f.y <= 0 || f.x >= w || f.x <= 0) { this.reset() }
else { this.draw() }
}
};
init();
mainLoop();
function mainLoop() {
if (innerWidth !== canvas.width || innerHeight !== canvas.height) { resize() }
else { ctx.clearRect(0, 0, canvas.width, canvas.height) }
for (const f of flakes) { f.update(canvas.width, canvas.height) }
requestAnimationFrame(mainLoop);
}
function init() {
var i = flakeCount;
while (i--) { flakes.push(new Flake()) }
}
canvas.addEventListener("mousemove", e => { mouse.x = e.clientX; mouse.y = e.clientY });
function resize() { canvas.width = innerWidth; canvas.height = innerHeight }
canvas {
background-color: #000;
}
body {
margin: 0;
}
.buttons {
position: absolute;
top: 12px;
left: 12px;
color: #000;
background-color: #AAA;
}
.buttons > div {
margin: 3px;
padding: 3px;
background-color: #EEE;
cursor: pointer;
}
.buttons > div:hover {
background-color: #DEF;
}
<canvas id="canvas"></canvas>
<div class = "buttons">
<div id="slower">Slower</div>
<div id="faster">Faster</div>
</div>

That requestAnimationFrame() function that calls flow() every frame is designed to run as fast as possible for whoever's computer it's running on. I wouldn't mess with your actual render loop.
Try messing with the flake.speed or the xMultiplier. Those are two of the main variables affecting the speed of your particles. You can see how each time through the flow() loop you're adjusting each particle's position based on their velocity properties and position. Then finally rendering the arc with ctx.arc(flake.x, flake.y, flake.size, 0, Math.PI * 2);
So any variable passed to ctx.arc() affects the particle's position. And many of those variables are recalculated each time through the loop.
I'm no expert here, but maybe try fiddling with your variables.
https://codepen.io/nitwit/pen/XWXJNaJ

https://jsfiddle.net/z6r8h5de/
if the issue is there are too many flakes on the screen, turn the count down from 700.
flakeCount = 100,

How do I simulate a gas behavior in JavaScript?

I'm still currently at high-school, and my self-taught programming knowledge isn't that accurate at all.
By the way, I worked on many projects(I code in C, C++, Python, HTML, JavaScript) and the one I'm currently working on has been giving me a hard time: a simulator for a gas sample's behavior(following Maxwell-Boltzmann's law of distribution for speeds).
M-B distribution is a kinda hard and advanced physics argument especially for my high-school standards, but I still managed to understand its functioning and found out the equation that gives the number of molecules with a velocity between v and v+dv:M-B equationhere.
Now, programming JS part takes place, and in the following snippet I inserted the
balls constructor part, the draw() core function and the part where I spawn balls(100, just as a test, since they should be around 1000) according to M-B equation; now, I think everything should be fine, but spawned balls behave very strangely changing direction whenever they want to, and sometimes getting stuck with each other instead of elastically bouncing off... could you please take a look at the "spawning" part and see if somethings wrong? Then, I also uploaded the whole HTML+JS+CSS code so you can try it, and also verify JS functions for ball-to-ball and ball-to-wall collisions and all that kind of stuff.
I would extremely appreciate it if someone could please help me... I'm confused.
Heartfelt thanks in advance for any answer,
Greg🙏.
class Ball {
constructor(x, y, dx, dy, radius){
this.radius = radius;
this.x = x;
this.y = y;
this.dx = dx;
this.dy = dy;
// mass is that of a sphere as opposed to circle
// it *does* make a difference in how realistic it looks
this.mass = this.radius * this.radius * this.radius;
this.color = 'red';
};
draw() {
ctx.beginPath();
ctx.arc(Math.round(this.x), Math.round(this.y), this.radius, 0, 2 * Math.PI);
ctx.fillStyle = this.color;
ctx.fill();
ctx.strokeStyle = this.color;
ctx.stroke();
ctx.closePath();
};
speed() {
// magnitude of velocity vector
return Math.sqrt(this.dx * this.dx + this.dy * this.dy);
};
angle() {
// velocity's angle with the x axis
return Math.atan2(this.dy, this.dx);
};
onGround() {
return (this.y + this.radius >= canvas.height)
};
};
function draw() {
currentTime = (new Date()).getTime();
dt = (currentTime - lastTime) / 1000; // delta time in seconds
// dirty and lazy solution
// instead of scaling down every velocity vector
// we decrease the speed of time
dt *= 0.1;
if (clearCanv) clearCanvas();
canvasBackground();
if (!paused) {
moveObjects();
ballCollision();
}
drawObjects();
//logger();
lastTime = currentTime;
window.requestAnimationFrame(draw);
}
let N = 500;
let m = 2.66e-26;
let T = 300;
let dV = 50;
let k = 1.38e-23;
let v = 50;
let balls = 0;
let anglex;
for(let i = 0; i < 29; i++) { //each 50m/s, with dv = 50, until 1500m/s,
probArray[i] = Math.floor(4 * Math.PI * N * (((m) / (2 * Math.PI * k * T))**1.5) * (v**2) * Math.exp((-m) / (2 * k * T) * (v**2)) * dV);//molecules num between v e v+50
v += 50;
}
v = 50;
for(let i = 0; i < 29; i++){
let n = 0;
while(n < probArray[i] && balls < 100) {
anglex = ((Math.random() * 360) * Math.PI) / 180; //converted in radians;
vel = Math.round((Math.random() * 50) + v);
objArray[objArray.length] = new Ball(randomX(), randomY(), Math.cos(anglex) * vel, Math.sin(anglex) * vel, 3);
n++;
balls++;
}
v += 50;
}
class Ball {
constructor(x, y, dx, dy, radius){
this.radius = radius;
this.x = x;
this.y = y;
this.dx = dx;
this.dy = dy;
// mass is that of a sphere as opposed to circle
// it *does* make a difference in how realistic it looks
this.mass = this.radius * this.radius * this.radius;
this.color = 'red';
};
draw() {
ctx.beginPath();
ctx.arc(Math.round(this.x), Math.round(this.y), this.radius, 0, 2 * Math.PI);
ctx.fillStyle = this.color;
ctx.fill();
ctx.strokeStyle = this.color;
ctx.stroke();
ctx.closePath();
};
speed() {
// magnitude of velocity vector
return Math.sqrt(this.dx * this.dx + this.dy * this.dy);
};
angle() {
// velocity's angle with the x axis
return Math.atan2(this.dy, this.dx);
};
onGround() {
return (this.y + this.radius >= canvas.height)
};
};
//FUNCTIONS
//will remove
function randomColor() {
let red = Math.floor(Math.random() * 3) * 127;
let green = Math.floor(Math.random() * 3) * 127;
let blue = Math.floor(Math.random() * 3) * 127;
// dim down the small balls
if (!bigBalls){
red *= 0.65
green *= 0.65
blue *= 0.65
}
let rc = "rgb(" + red + ", " + green + ", " + blue + ")";
return rc;
}
function randomX() {
let x = Math.floor(Math.random() * canvas.width);
if (x < 30) {
x = 30;
} else if (x + 30 > canvas.width) {
x = canvas.width - 30;
}
return x;
}
function randomY() {
let y = Math.floor(Math.random() * canvas.height);
if (y < 30) {
y = 30;
} else if (y + 30 > canvas.height) {
y = canvas.height - 30;
}
return y;
}
//will remove
function randomRadius() {
if (bigBalls) {
let r = Math.ceil(Math.random() * 10 + 20);
return r;
} else {
let r = Math.ceil(Math.random() * 2 + 2);
//let r = 5;
return r;
}
}
//will remove
function randomDx() {
let r = Math.floor(Math.random() * 10 - 4);
return r;
}
//will remove
function randomDy() {
let r = Math.floor(Math.random() * 10 - 3);
return r;
}
function distanceNextFrame(a, b) {
return Math.sqrt((a.x + a.dx - b.x - b.dx)**2 + (a.y + a.dy - b.y - b.dy)**2) - a.radius - b.radius;
}
function distance(a, b) {
return Math.sqrt((a.x - b.x)**2 + (a.y - b.y)**2);
}
let canvas = document.getElementById("myCanvas");
let ctx = canvas.getContext("2d");
let objArray = [];
let probArray = [];
let paused = false;
let bumped = false;
let leftHeld = false;
let upHeld = false;
let rightHeld = false;
let downHeld = false;
let arrowControlSpeed = .25;
let gravityOn = false;
let clearCanv = true;
let bigBalls = false;
let lastTime = (new Date()).getTime();
let currentTime = 0;
let dt = 0;
let numStartingSmallBalls = 500;
let numStartingBigBalls = 0;
document.addEventListener("keydown", keyDownHandler);
function clearCanvas() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
}
function keyDownHandler(event) {
if (event.keyCode == 80) { // p
paused = !paused;
} else if (event.keyCode == 82) { // r
objArray = [];
} else if (event.keyCode == 75) { // k
clearCanv = !clearCanv;
} else if (event.keyCode == 88) { // x
bigBalls = !bigBalls;
}
}
function canvasBackground() {
canvas.style.backgroundColor = "rgb(215, 235, 240)";
}
function wallCollision(ball) {
if (ball.x - ball.radius + ball.dx < 0 ||
ball.x + ball.radius + ball.dx > canvas.width) {
ball.dx *= -1;
}
if (ball.y - ball.radius + ball.dy < 0 ||
ball.y + ball.radius + ball.dy > canvas.height) {
ball.dy *= -1;
}
if (ball.y + ball.radius > canvas.height) {
ball.y = canvas.height - ball.radius;
}
if (ball.y - ball.radius < 0) {
ball.y = ball.radius;
}
if (ball.x + ball.radius > canvas.width) {
ball.x = canvas.width - ball.radius;
}
if (ball.x - ball.radius < 0) {
ball.x = ball.radius;
}
}
function ballCollision() {
for (let i=0; i<objArray.length-1; i++) {
for (let j=i+1; j<objArray.length; j++) {
let ob1 = objArray[i]
let ob2 = objArray[j]
let dist = distance(ob1, ob2)
if (dist < ob1.radius + ob2.radius) {
let theta1 = ob1.angle();
let theta2 = ob2.angle();
let phi = Math.atan2(ob2.y - ob1.y, ob2.x - ob1.x);
let m1 = ob1.mass;
let m2 = ob2.mass;
let v1 = ob1.speed();
let v2 = ob2.speed();
let dx1F = (v1 * Math.cos(theta1 - phi) * (m1-m2) + 2*m2*v2*Math.cos(theta2 - phi)) / (m1+m2) * Math.cos(phi) + v1*Math.sin(theta1-phi) * Math.cos(phi+Math.PI/2);
let dy1F = (v1 * Math.cos(theta1 - phi) * (m1-m2) + 2*m2*v2*Math.cos(theta2 - phi)) / (m1+m2) * Math.sin(phi) + v1*Math.sin(theta1-phi) * Math.sin(phi+Math.PI/2);
let dx2F = (v2 * Math.cos(theta2 - phi) * (m2-m1) + 2*m1*v1*Math.cos(theta1 - phi)) / (m1+m2) * Math.cos(phi) + v2*Math.sin(theta2-phi) * Math.cos(phi+Math.PI/2);
let dy2F = (v2 * Math.cos(theta2 - phi) * (m2-m1) + 2*m1*v1*Math.cos(theta1 - phi)) / (m1+m2) * Math.sin(phi) + v2*Math.sin(theta2-phi) * Math.sin(phi+Math.PI/2);
ob1.dx = dx1F;
ob1.dy = dy1F;
ob2.dx = dx2F;
ob2.dy = dy2F;
staticCollision(ob1, ob2)
}
}
wallCollision(objArray[i]);
}
if (objArray.length > 0)
wallCollision(objArray[objArray.length - 1])
}
function staticCollision(ob1, ob2, emergency = false)
{
let overlap = ob1.radius + ob2.radius - distance(ob1, ob2);
let smallerObject = ob1.radius < ob2.radius ? ob1 : ob2;
let biggerObject = ob1.radius > ob2.radius ? ob1 : ob2;
// When things go normally, this line does not execute.
// "Emergency" is when staticCollision has run, but the collision
// still hasn't been resolved. Which implies that one of the objects
// is likely being jammed against a corner, so we must now move the OTHER one instead.
// in other words: this line basically swaps the "little guy" role, because
// the actual little guy can't be moved away due to being blocked by the wall.
if (emergency) [smallerObject, biggerObject] = [biggerObject, smallerObject]
let theta = Math.atan2((biggerObject.y - smallerObject.y), (biggerObject.x - smallerObject.x));
smallerObject.x -= overlap * Math.cos(theta);
smallerObject.y -= overlap * Math.sin(theta);
if (distance(ob1, ob2) < ob1.radius + ob2.radius) {
// we don't want to be stuck in an infinite emergency.
// so if we have already run one emergency round; just ignore the problem.
if (!emergency) staticCollision(ob1, ob2, true)
}
}
function moveObjects() {
for (let i=0; i<objArray.length; i++) {
let ob = objArray[i];
ob.x += ob.dx * dt;
ob.y += ob.dy * dt;
}
}
function drawObjects() {
for (let obj in objArray) {
objArray[obj].draw();
}
}
function draw() {
currentTime = (new Date()).getTime();
dt = (currentTime - lastTime) / 1000; // delta time in seconds
// dirty and lazy solution
// instead of scaling down every velocity vector
// we decrease the speed of time
dt *= 0.1;
if (clearCanv) clearCanvas();
canvasBackground();
if (!paused) {
moveObjects();
ballCollision();
}
drawObjects();
//logger();
lastTime = currentTime;
window.requestAnimationFrame(draw);
}
/*
for (i = 0; i<numStartingSmallBalls; i++) {
objArray[objArray.length] = new Ball(randomX(), randomY(), 3);
}*/
let N = 500;
let m = 2.66e-26;
let T = 300;
let dV = 50;
let k = 1.38e-23;
let v = 50;
let balls = 0;
let angolox;
for(let i = 0; i < 29; i++) { //ogni 50 velocità, con dv = 50, fino a 1500m/s,
probArray[i] = Math.floor(4 * Math.PI * N * (((m) / (2 * Math.PI * k * T))**1.5) * (v**2) * Math.exp((-m) / (2 * k * T) * (v**2)) * dV);//num molecole tra v e v+50
v += 50;
}
v = 50;
for(let i = 0; i < 29; i++){
let n = 0;
while(n < probArray[i] && balls < 100) {
angolox = ((Math.random() * 360) * Math.PI) / 180; //converted in radians;
vel = Math.round((Math.random() * 50) + v);
objArray[objArray.length] = new Ball(randomX(), randomY(), Math.cos(angolox) * vel, Math.sin(angolox) * vel, 3);
n++;
balls++;
}
v += 50;
}
draw();
body {
background-color: khaki;
text-align: center;
font-family: Ubuntu Mono;
}
#title {
color: black;
font-size: 200%;
font-style: normal;
margin: 1px;
border: 1px;
}
#balls {
margin-top: 5px;
}
#myCanvas {
margin-top: -20px;
}
section.footer {
color: black;
font-family: Ubuntu Mono;
font-style: normal;
font-size: small;
}
#disclaimer {
font-size: 74%;
color: gray;
}
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>2d collision</title>
<link rel="stylesheet" type="text/css" href="gas.css">
</head>
<body style="text-align: center">
<canvas id="myCanvas" width="1225%" height="650%" style="border:1px solid black; margin-top: 10px;"></canvas>
<script src="gas.js"></script>
<p>
<strong>[X]</strong> to toggle SIZE of future balls <br>
<strong>[K]</strong> to toggle clearCanvas(); <br>
<strong>[P]</strong>: pause/unpause || <strong>[R]</strong>: [RESET]
</p>
<p>
source code on github
</p>
<div id="disclaimer" align="center" style="word-break: break-word; width: 350px; display:inline-block;">
<p>
Make sure to press a few buttons and play around.<br>Made with pure javascript.
</p>
</div>
</section>
</body>
</html>

rotating a custom shape moves it in the corner

When rotating a custom shape using translate(width/2,height/2); rotate(angle)),
it moves the shape in the bottom left corner. I tried making translate values negative, it fixed it but then the origin was at 0,0. I have used pop(); push() and beginShape(); endShape with no success.
var points = [];
var r;
var lines = 30;
function setup() {
createCanvas(window.innerWidth, window.windowHeight);
angleMode(DEGREES);
// get the points of the corners of the hexagon
r = Math.min(width, height) * 0.4;
var angle = 60;
for (var i = 1; i < 7; i++) {
var tempX = r * sin((angle * i + 30) % 360) + width / 2;
var tempY = r * cos((angle * i + 30) % 360) + height / 2;
points.push([tempX, tempY]);
}
background(0);
stroke(0, 0, 255);
rectMode(CENTER);
}
function draw() {
background(0);
// draw the lines of ...
push();
translate(width/2, height/2);
rotate(frameCount * 0.75);
beginShape();
for (var i = 0; i < points.length; i++) {
// ... the hexagon perimeter
line(points[i][0], points[i][1], points[(i + 1) % 6][0], points[(i + 1) % 6][1]);
var tempAngle = 240 + i * 60;
var tempX = r * 1.1545 * sin(tempAngle) + points[i][0];
var tempY = r * 1.1545 * cos(tempAngle) + points[i][1];
for (var j = 0; j < lines + 1; j++) {
// ... the lines inside the hexagon
var tempAngle2 = tempAngle = (30 / lines * j) + 210 + i * 60;
var distance = r / cos(30 / lines * j);
var tempX2 = distance * sin(tempAngle2) + points[i][0];
var tempY2 = distance * cos(tempAngle2) + points[i][1];;
line(points[i][0], points[i][1], tempX2, tempY2);
}
endShape();
}
pop();
}
<script src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/0.6.1/p5.js"></script>

I think the problem is that you are defining your points for your shape with an x/y offset. By removing the width / 2 & height / 2 from your point definitions it centers your shape.
var points = [];
var r;
var lines = 30;
function setup() {
createCanvas(window.innerWidth, window.windowHeight);
angleMode(DEGREES);
// get the points of the corners of the hexagon
r = Math.min(width, height) * 0.4;
var angle = 60;
for (var i = 1; i < 7; i++) {
var tempX = r * sin((angle * i + 30) % 360)
var tempY = r * cos((angle * i + 30) % 360)
points.push([tempX, tempY]);
}
background(0);
stroke(0, 0, 255);
//rectMode(CENTER);
}
function draw() {
background(0);
// draw the lines of ...
push();
translate(width/2, height/2);
rotate(frameCount * 0.75);
beginShape();
for (var i = 0; i < points.length; i++) {
// ... the hexagon perimeter
line(points[i][0], points[i][1], points[(i + 1) % 6][0], points[(i + 1) % 6][1]);
var tempAngle = 240 + i * 60;
var tempX = r * 1.1545 * sin(tempAngle) + points[i][0];
var tempY = r * 1.1545 * cos(tempAngle) + points[i][1];
for (var j = 0; j < lines + 1; j++) {
// ... the lines inside the hexagon
var tempAngle2 = tempAngle = (30 / lines * j) + 210 + i * 60;
var distance = r / cos(30 / lines * j);
var tempX2 = distance * sin(tempAngle2) + points[i][0];
var tempY2 = distance * cos(tempAngle2) + points[i][1];;
line(points[i][0], points[i][1], tempX2, tempY2);
}
endShape();
}
pop();
}
<script src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/0.6.1/p5.js"></script>

adding custom animation in canvas html5

this might be somewhat difficult but i wil still ask, so i made a starfield ,now what i want to do is to have my stars( a pair each) connected to eachother by a line ,now this line will expand as the stars move forward and disappear when the stars move out of the canvas .any help would be appreciated here this is difficult i have the logic but i seem unable to follow the correct way to implement it
function randomRange(minVal, maxVal) {
return Math.floor(Math.random() * (maxVal - minVal - 1)) + minVal;
}
function initStars() {
for (var i = 0; i < stars.length; i++) {
stars[i] = {
x: randomRange(-25, 25),
y: randomRange(-25, 25),
z: randomRange(1, MAX_DEPTH)
}
}
}
function degToRad(deg) {
radians = (deg * Math.PI / 180) - Math.PI / 2;
return radians;
}
function animate() {
var halfWidth = canvas.width / 2;
var halfHeight = canvas.height / 2;
ctx.fillStyle = "rgb(0,0,0)";
ctx.fillRect(0, 0, canvas.width, canvas.height);
for (var i = 0; i < stars.length; i++) {
stars[i].z -= 0.2;
if (stars[i].z <= 0) {
stars[i].x = randomRange(-25, 25);
stars[i].y = randomRange(-25, 25);
stars[i].z = MAX_DEPTH;
}
var k = 128.0 / stars[i].z;
var px = stars[i].x * k + halfWidth;
var py = stars[i].y * k + halfHeight;
if (px >= 0 && px <= 1500 && py >= 0 && py <= 1500) {
var size = (1 - stars[i].z / 32.0) * 5;
var shade = parseInt((1 - stars[i].z / 32.0) * 750);
ctx.fillStyle = "rgb(" + shade + "," + shade + "," + shade + ")";
ctx.beginPath();
ctx.arc(px, py, size, degToRad(0), degToRad(360));
ctx.fill();
}
}
}
function animate() {
var halfWidth = canvas.width / 2;
var halfHeight = canvas.height / 2;
ctx.fillStyle = "rgb(0,0,0)";
ctx.fillRect(0, 0, canvas.width, canvas.height);
for (var i = 0; i < stars.length; i++) {
stars[i].z -= 0.2;
if (stars[i].z <= 0) {
stars[i].x = randomRange(-25, 25);
stars[i].y = randomRange(-25, 25);
stars[i].z = MAX_DEPTH;
}
var k = 128.0 / stars[i].z;
var px = stars[i].x * k + halfWidth;
var py = stars[i].y * k + halfHeight;
if (px >= 0 && px <= 1500 && py >= 0 && py <= 1500) {
var size = (1 - stars[i].z / 32.0) * 5;
var shade = parseInt((1 - stars[i].z / 32.0) * 750);
ctx.fillStyle = "rgb(" + shade + "," + shade + "," + shade + ")";
ctx.beginPath();
ctx.arc(px, py, size, degToRad(0), degToRad(360));
ctx.fill();
}
}
}
<!DOCTYPE html5>
<html>
<head>
<title>stars</title>
<script src="convergis.js"></script>
<script>
MAX_DEPTH = 32;
var canvas, ctx;
var stars = new Array(500);
window.onload = function() {
canvas = document.getElementById("tutorial");
if( canvas && canvas.getContext ) {
ctx = canvas.getContext("2d");
initStars();
setInterval(animate,17);
}
}
</script>
</head>
<body>
<canvas id='tutorial' width='1500' height='1500'>
</canvas>
</body>
</html>

You could just say you want a lightspeed effect!
One way very cheap way to do it is to paint the background with some transparency. You can also render a set of points close together in order to make the illusion of the effect.
The good way to do it is shaders since they will allow you to add glow and some other nice image trickery that will make it look better. Here is a good example: https://www.shadertoy.com/view/Xdl3D2
Below I used the canvas api lineTo and even with a fixed line width, it's a pretty good final result.
var MAX_DEPTH = 64;
var LINELENGTH = 0.1;
var stars = new Array(500);
var canvas = document.getElementById("tutorial");
canvas.width = innerWidth;
canvas.height = innerHeight;
var ctx = canvas.getContext("2d");
initStars();
setInterval(animate,17);
function randomRange(minVal, maxVal) {
return Math.floor(Math.random() * (maxVal - minVal - 1)) + minVal;
}
function initStars() {
for (var i = 0; i < stars.length; i++) {
stars[i] = {
x: randomRange(-25, 25),
y: randomRange(-25, 25),
z: randomRange(1, MAX_DEPTH)
}
}
}
function degToRad(deg) {
radians = (deg * Math.PI / 180) - Math.PI / 2;
return radians;
}
function animate() {
var halfWidth = canvas.width / 2;
var halfHeight = canvas.height / 2;
ctx.fillStyle = "rgba(0,0,0,1)";
ctx.fillRect(0, 0, canvas.width, canvas.height);
for (var i = 0; i < stars.length; i++) {
stars[i].z -= 0.5;
if (stars[i].z <= 0) {
stars[i].x = randomRange(-25, 25);
stars[i].y = randomRange(-25, 25);
stars[i].z = MAX_DEPTH;
}
var k = 254.0 / stars[i].z;
var px = stars[i].x * k + halfWidth;
var py = stars[i].y * k + halfHeight;
if (px >= 0 && px <= 1500 && py >= 0 && py <= 1500) {
var size = (1 - stars[i].z / 32.0) * 2;
var shade = parseInt((1 - stars[i].z / 32.0) * 750);
ctx.strokeStyle = "rgb(" + shade + "," + shade + "," + shade + ")";
ctx.lineWidth = size;
ctx.beginPath();
ctx.moveTo(px,py);
var ox = size * (px - halfWidth) * LINELENGTH;
var oy = size * (py - halfHeight) * LINELENGTH;
ctx.lineTo(px + ox, py + oy);
ctx.stroke();
}
}
}
<canvas id='tutorial' width='1500' height='1500'></canvas>

Creating Falling Snow using HTML 5 and JS

I visited the Stack Exchange Winter Bash website and I love the falling snow! My question is, how can I recreate a similar effect that looks as nice. I attempted to reverse engineer the code to see if I could figure it out but alas no luck there. The JS is over my head. I did a bit of googling and came across some examples but they were not as elegant as the SE site or did not look very good.
Can anyone provide some instructions on how to replicate what the SE Winter Bash site creates or a place where I might learn how to do this?
Edit: I would like to replicate the effect as close as possible, IE: falling snow with snowflakes, and being able to move the mouse and cause the snow to move or swirl with the mouse moments.

Great question, I actually wrote a snow plugin a while ago that I continually update see it in action. Also a link to the pure js source
I noticed you tagged the question html5 and canvas, however you can do it without using either, and just standard elements with images or different background colors.
Here's two really simple ones I put together just now for you to mess with. The key in my opinion is using sin to get the nice wavy effect as the flakes fall. The first one uses the canvas element, the 2nd one uses regular dom elements.
Since I'm absolutely addicted to canvas here's a canvas version that performs quite nicely in my opinion.
Canvas version
Full Screen
(function() {
var requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame || window.msRequestAnimationFrame ||
function(callback) {
window.setTimeout(callback, 1000 / 60);
};
window.requestAnimationFrame = requestAnimationFrame;
})();
var flakes = [],
canvas = document.getElementById("canvas"),
ctx = canvas.getContext("2d"),
flakeCount = 200,
mX = -100,
mY = -100
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
function snow() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
for (var i = 0; i < flakeCount; i++) {
var flake = flakes[i],
x = mX,
y = mY,
minDist = 150,
x2 = flake.x,
y2 = flake.y;
var dist = Math.sqrt((x2 - x) * (x2 - x) + (y2 - y) * (y2 - y)),
dx = x2 - x,
dy = y2 - y;
if (dist < minDist) {
var force = minDist / (dist * dist),
xcomp = (x - x2) / dist,
ycomp = (y - y2) / dist,
deltaV = force / 2;
flake.velX -= deltaV * xcomp;
flake.velY -= deltaV * ycomp;
} else {
flake.velX *= .98;
if (flake.velY <= flake.speed) {
flake.velY = flake.speed
}
flake.velX += Math.cos(flake.step += .05) * flake.stepSize;
}
ctx.fillStyle = "rgba(255,255,255," + flake.opacity + ")";
flake.y += flake.velY;
flake.x += flake.velX;
if (flake.y >= canvas.height || flake.y <= 0) {
reset(flake);
}
if (flake.x >= canvas.width || flake.x <= 0) {
reset(flake);
}
ctx.beginPath();
ctx.arc(flake.x, flake.y, flake.size, 0, Math.PI * 2);
ctx.fill();
}
requestAnimationFrame(snow);
};
function reset(flake) {
flake.x = Math.floor(Math.random() * canvas.width);
flake.y = 0;
flake.size = (Math.random() * 3) + 2;
flake.speed = (Math.random() * 1) + 0.5;
flake.velY = flake.speed;
flake.velX = 0;
flake.opacity = (Math.random() * 0.5) + 0.3;
}
function init() {
for (var i = 0; i < flakeCount; i++) {
var x = Math.floor(Math.random() * canvas.width),
y = Math.floor(Math.random() * canvas.height),
size = (Math.random() * 3) + 2,
speed = (Math.random() * 1) + 0.5,
opacity = (Math.random() * 0.5) + 0.3;
flakes.push({
speed: speed,
velY: speed,
velX: 0,
x: x,
y: y,
size: size,
stepSize: (Math.random()) / 30,
step: 0,
angle: 180,
opacity: opacity
});
}
snow();
};
canvas.addEventListener("mousemove", function(e) {
mX = e.clientX,
mY = e.clientY
});
init();​
Standard element version
var flakes = [],
bodyHeight = getDocHeight(),
bodyWidth = document.body.offsetWidth;
function snow() {
for (var i = 0; i < 50; i++) {
var flake = flakes[i];
flake.y += flake.velY;
if (flake.y > bodyHeight - (flake.size + 6)) {
flake.y = 0;
}
flake.el.style.top = flake.y + 'px';
flake.el.style.left = ~~flake.x + 'px';
flake.step += flake.stepSize;
flake.velX = Math.cos(flake.step);
flake.x += flake.velX;
if (flake.x > bodyWidth - 40 || flake.x < 30) {
flake.y = 0;
}
}
setTimeout(snow, 10);
};
function init() {
var docFrag = document.createDocumentFragment();
for (var i = 0; i < 50; i++) {
var flake = document.createElement("div"),
x = Math.floor(Math.random() * bodyWidth),
y = Math.floor(Math.random() * bodyHeight),
size = (Math.random() * 5) + 2,
speed = (Math.random() * 1) + 0.5;
flake.style.width = size + 'px';
flake.style.height = size + 'px';
flake.style.background = "#fff";
flake.style.left = x + 'px';
flake.style.top = y;
flake.classList.add("flake");
flakes.push({
el: flake,
speed: speed,
velY: speed,
velX: 0,
x: x,
y: y,
size: 2,
stepSize: (Math.random() * 5) / 100,
step: 0
});
docFrag.appendChild(flake);
}
document.body.appendChild(docFrag);
snow();
};
document.addEventListener("mousemove", function(e) {
var x = e.clientX,
y = e.clientY,
minDist = 150;
for (var i = 0; i < flakes.length; i++) {
var x2 = flakes[i].x,
y2 = flakes[i].y;
var dist = Math.sqrt((x2 - x) * (x2 - x) + (y2 - y) * (y2 - y));
if (dist < minDist) {
rad = Math.atan2(y2, x2), angle = rad / Math.PI * 180;
flakes[i].velX = (x2 / dist) * 0.2;
flakes[i].velY = (y2 / dist) * 0.2;
flakes[i].x += flakes[i].velX;
flakes[i].y += flakes[i].velY;
} else {
flakes[i].velY *= 0.9;
flakes[i].velX
if (flakes[i].velY <= flakes[i].speed) {
flakes[i].velY = flakes[i].speed;
}
}
}
});
init();
function getDocHeight() {
return Math.max(
Math.max(document.body.scrollHeight, document.documentElement.scrollHeight), Math.max(document.body.offsetHeight, document.documentElement.offsetHeight), Math.max(document.body.clientHeight, document.documentElement.clientHeight));
}​

I've created a pure HTML 5 and js snowfall.
Check it out on my code pen here: https://codepen.io/onlintool24/pen/GRMOBVo
// Amount of Snowflakes
var snowMax = 35;
// Snowflake Colours
var snowColor = ["#DDD", "#EEE"];
// Snow Entity
var snowEntity = "•";
// Falling Velocity
var snowSpeed = 0.75;
// Minimum Flake Size
var snowMinSize = 8;
// Maximum Flake Size
var snowMaxSize = 24;
// Refresh Rate (in milliseconds)
var snowRefresh = 50;
// Additional Styles
var snowStyles = "cursor: default; -webkit-user-select: none; -moz-user-select: none; -ms-user-select: none; -o-user-select: none; user-select: none;";
/*
// End of Configuration
// ----------------------------------------
// Do not modify the code below this line
*/
var snow = [],
pos = [],
coords = [],
lefr = [],
marginBottom,
marginRight;
function randomise(range) {
rand = Math.floor(range * Math.random());
return rand;
}
function initSnow() {
var snowSize = snowMaxSize - snowMinSize;
marginBottom = document.body.scrollHeight - 5;
marginRight = document.body.clientWidth - 15;
for (i = 0; i <= snowMax; i++) {
coords[i] = 0;
lefr[i] = Math.random() * 15;
pos[i] = 0.03 + Math.random() / 10;
snow[i] = document.getElementById("flake" + i);
snow[i].style.fontFamily = "inherit";
snow[i].size = randomise(snowSize) + snowMinSize;
snow[i].style.fontSize = snow[i].size + "px";
snow[i].style.color = snowColor[randomise(snowColor.length)];
snow[i].style.zIndex = 1000;
snow[i].sink = snowSpeed * snow[i].size / 5;
snow[i].posX = randomise(marginRight - snow[i].size);
snow[i].posY = randomise(2 * marginBottom - marginBottom - 2 * snow[i].size);
snow[i].style.left = snow[i].posX + "px";
snow[i].style.top = snow[i].posY + "px";
}
moveSnow();
}
function resize() {
marginBottom = document.body.scrollHeight - 5;
marginRight = document.body.clientWidth - 15;
}
function moveSnow() {
for (i = 0; i <= snowMax; i++) {
coords[i] += pos[i];
snow[i].posY += snow[i].sink;
snow[i].style.left = snow[i].posX + lefr[i] * Math.sin(coords[i]) + "px";
snow[i].style.top = snow[i].posY + "px";
if (snow[i].posY >= marginBottom - 2 * snow[i].size || parseInt(snow[i].style.left) > (marginRight - 3 * lefr[i])) {
snow[i].posX = randomise(marginRight - snow[i].size);
snow[i].posY = 0;
}
}
setTimeout("moveSnow()", snowRefresh);
}
for (i = 0; i <= snowMax; i++) {
document.write("<span id='flake" + i + "' style='" + snowStyles + "position:absolute;top:-" + snowMaxSize + "'>" + snowEntity + "</span>");
}
window.addEventListener('resize', resize);
window.addEventListener('load', initSnow);
body{
background: skyblue;
height:100%;
width:100%;
display:block;
position:relative;
}
<span id="flake0" style="cursor: default; user-select: none; position: absolute; font-family: inherit; font-size: 19px; color: rgb(221, 221, 221); z-index: 1000; left: 226px; top: 561px;">•</span>

The falling snow is simple: Create a canvas, create a bunch of snowflakes, draw them.
You can create a snowflake class like so:
function Snowflake() {
this.x = Math.random()*canvas.width;
this.y = -16;
this.speed = Math.random()*3+1;
this.direction = Math.random()*360;
this.maxSpeed = 4;
}
Or something like that. Then you have a timer that, each step, adjusts each snowflake's direction by a small amount, and then calculates its new X and Y by factoring in the Speed and Direction.
It's hard to explain, but actually quite basic.