I got this HTML5 canvas project I'm struggling with.
Basically I'm trying to add a new particle on click.
And the particles is pushed to the particles array, but
the particle does not show. I can see that the particle is pushed to the array with the mouse coordinates, but it doesn't seem like the last particle is drawn.
What am I doing wrong?
See example.
// Request animation frame
var requestAnimationFrame = window.requestAnimationFrame ||
window.mozRequestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.msRequestAnimationFrame;
// Canvas
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
// Set full-screen
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
// Options
var num = 100; // Number of particles to draw
var size = 2; // Particle size
var color = '#dd64e6'; // Particle color
var min_speed = .3; // Particle min speed
var max_speed = 2; // Particle max speed
var dist = 100; // Max distance before line gets cut
var dist_sq = dist * dist; // Dist squared
var line_width = 2; // Line width
var background = '#181b23'; // Background color
var line_color = '#1d2631'; // Line color
var fps = 60;
var now, delta;
var then = Date.now();
var interval = 1000 / fps;
if (/Android|webOS|iPhone|iPad|iPod|BlackBerry|IEMobile|Opera Mini/i.test(navigator.userAgent)) {
num = 10;
fps = 29;
}
// Particles array
var particles = [];
for (var i = 0; i < num; i++) {
particles.push(
new create_particle(false, false)
);
}
// Lets animate the particle
function draw() {
// Loop
requestAnimationFrame(draw);
now = Date.now();
delta = now - then;
if (delta > interval) {
then = now - (delta % interval);
// Background
ctx.fillStyle = background;
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Lets draw particles from the array now
draw_particles();
}
}
// Draw particles
function draw_particles() {
for (var t = 0; t < num; t++) {
// This particle
var p = particles[t];
for (var q = t + 1; q < num; q++) {
// Check X first, maybe we don't need to
// calculate Y
var x = particles[q].x - p.x;
if ((x *= x) < dist_sq) {
// Check passed, calculate Y
var y = particles[q].y - p.y;
if (x + (y * y) < dist_sq) {
// Check passed, draw line
draw_line(p.x, p.y, particles[q].x, particles[q].y);
}
}
}
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (num === 1) {
ctx.fillText('Y:' + p.y, 20, 20);
ctx.fillText('X:' + p.x, 20, 40);
ctx.fillText('YV:' + p.vy, 20, 60);
ctx.fillText('XV:' + p.vx, 20, 80);
}
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx *= (p.vx / -p.vx);
if (p.y < size) p.vy *= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx *= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy *= (-p.vy / p.vy);
}
}
// Return a particle object
function create_particle(xPos, yPos) {
// Position
if (xPos == false && yPos == false) {
this.x = Math.random() * canvas.width;
this.y = Math.random() * canvas.height;
} else {
this.x = xPos;
this.y = yPos;
}
// Velocity
this.vx = random_int_between(min_speed, max_speed);
this.vy = random_int_between(min_speed, max_speed);
// Size
this.radius = size;
console.log('particle created at: ' + this.x + ', ' + this.y);
}
// Returns an random integer, positive or negative
// between the given value
function random_int_between(min, max) {
var num = Math.floor(Math.random() * max) - min;
num *= Math.floor(Math.random() * 2) == 1 ? 1 : -1;
return num;
}
// Draw a line between 2 particles
// given the particles x and y position
function draw_line(p_x, p_y, p2_x, p2_y) {
ctx.beginPath();
ctx.lineWidth = line_width;
ctx.strokeStyle = line_color;
ctx.moveTo(p_x, p_y);
ctx.lineTo(p2_x, p2_y);
ctx.stroke();
}
// When the canvas is clicked
// add new particle
function clicked(e) {
var mouseXpos, mouseYpos;
if (e.offsetX) {
mouseXpos = e.offsetX;
mouseYpos = e.offsetY;
} else if (e.layerX) {
mouseXpos = e.layerX;
mouseYpos = e.layerY;
}
particles.push(
new create_particle(mouseXpos, mouseYpos)
);
}
canvas.addEventListener('click', function(e) {
clicked(e);
}, false);
draw();
<!DOCTYPE html>
<html>
<head>
<style>
* {margin:0;padding:0;overflow:hidden;}
</style>
</head>
<body>
<canvas id="canvas">{{-- The background --}}</canvas>
</body>
</html>
Well since no one else answered this other than in a comment, I thought I would answer it so that others might not wonder about the same thing.
The problem is that you use a variable "num" to hold the number of particles. If you instead use "particles.length" you can
// Request animation frame
var requestAnimationFrame = window.requestAnimationFrame ||
window.mozRequestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.msRequestAnimationFrame;
// Canvas
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
// Set full-screen
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
// Options
var num = 100; // Number of particles to draw
var size = 2; // Particle size
var color = '#dd64e6'; // Particle color
var min_speed = .3; // Particle min speed
var max_speed = 2; // Particle max speed
var dist = 100; // Max distance before line gets cut
var dist_sq = dist * dist; // Dist squared
var line_width = 2; // Line width
var background = '#181b23'; // Background color
var line_color = '#1d2631'; // Line color
var fps = 60;
var now, delta;
var then = Date.now();
var interval = 1000 / fps;
if (/Android|webOS|iPhone|iPad|iPod|BlackBerry|IEMobile|Opera Mini/i.test(navigator.userAgent)) {
num = 10;
fps = 29;
}
// Particles array
var particles = [];
for (var i = 0; i < num; i++) {
particles.push(
new create_particle(false, false)
);
}
// Lets animate the particle
function draw() {
// Loop
requestAnimationFrame(draw);
now = Date.now();
delta = now - then;
if (delta > interval) {
then = now - (delta % interval);
// Background
ctx.fillStyle = background;
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Lets draw particles from the array now
draw_particles();
}
}
// Draw particles
function draw_particles() {
for (var t = 0; t < particles.length; t++) {
// This particle
var p = particles[t];
for (var q = t + 1; q < particles.length; q++) {
// Check X first, maybe we don't need to
// calculate Y
var x = particles[q].x - p.x;
if ((x *= x) < dist_sq) {
// Check passed, calculate Y
var y = particles[q].y - p.y;
if (x + (y * y) < dist_sq) {
// Check passed, draw line
draw_line(p.x, p.y, particles[q].x, particles[q].y);
}
}
}
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (num === 1) {
ctx.fillText('Y:' + p.y, 20, 20);
ctx.fillText('X:' + p.x, 20, 40);
ctx.fillText('YV:' + p.vy, 20, 60);
ctx.fillText('XV:' + p.vx, 20, 80);
}
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx *= (p.vx / -p.vx);
if (p.y < size) p.vy *= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx *= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy *= (-p.vy / p.vy);
}
}
// Return a particle object
function create_particle(xPos, yPos) {
// Position
if (xPos == false && yPos == false) {
this.x = Math.random() * canvas.width;
this.y = Math.random() * canvas.height;
} else {
this.x = xPos;
this.y = yPos;
}
// Velocity
this.vx = random_int_between(min_speed, max_speed);
this.vy = random_int_between(min_speed, max_speed);
// Size
this.radius = size;
console.log('particle created at: ' + this.x + ', ' + this.y);
}
// Returns an random integer, positive or negative
// between the given value
function random_int_between(min, max) {
var num = Math.floor(Math.random() * max) - min;
num *= Math.floor(Math.random() * 2) == 1 ? 1 : -1;
return num;
}
// Draw a line between 2 particles
// given the particles x and y position
function draw_line(p_x, p_y, p2_x, p2_y) {
ctx.beginPath();
ctx.lineWidth = line_width;
ctx.strokeStyle = line_color;
ctx.moveTo(p_x, p_y);
ctx.lineTo(p2_x, p2_y);
ctx.stroke();
}
// When the canvas is clicked
// add new particle
function clicked(e) {
var mouseXpos, mouseYpos;
if (e.offsetX) {
mouseXpos = e.offsetX;
mouseYpos = e.offsetY;
} else if (e.layerX) {
mouseXpos = e.layerX;
mouseYpos = e.layerY;
}
particles.push(
new create_particle(mouseXpos, mouseYpos)
);
}
canvas.addEventListener('click', function(e) {
clicked(e);
}, false);
draw();
<!DOCTYPE html>
<html>
<head>
<style>
* {margin:0;padding:0;overflow:hidden;}
</style>
</head>
<body>
<canvas id="canvas">{{-- The background --}}</canvas>
</body>
</html>
I will dare to go outside the scope of our problem because you could prevent such issues in the future by utilizing Array.prototype.forEach, and move the drawing of the dots and constrain them to new functions. With the added benefit of simplifying your code.
// Draw particles
function draw_particles() {
particles.forEach(function(p,pi){
particles.forEach(function(p2,p2i){
if(pi === p2i){
return;
}
// Check X first, maybe we don't need to
// calculate Y
var x = p2.x - p.x;
if ((x *= x) < dist_sq) {
// Check passed, calculate Y
var y = p2.y - p.y;
if (x + (y * y) < dist_sq) {
// Check passed, draw line
draw_line(p.x, p.y, p2.x, p2.y);
draw_dot(p);
constrain(p);
}
}
});
});
}
// Draw particle
function draw_dot(p){
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
ctx.closePath();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (particles.length === 1) {
ctx.fillText('Y:' + p.y, 20, 20);
ctx.fillText('X:' + p.x, 20, 40);
ctx.fillText('YV:' + p.vy, 20, 60);
ctx.fillText('XV:' + p.vx, 20, 80);
}
}
// Constrain particle movement
function constrain(p){
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx *= (p.vx / -p.vx);
if (p.y < size) p.vy *= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx *= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy *= (-p.vy / p.vy);
}
Using Array.prototype.length and Array.prototype.forEach reduces the risk of heading into issues of array indices.
Related
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>
I'm trying to create a hyperdrive effect, like from Star Wars, where the stars have a motion trail. I've gotten as far as creating the motion trail on a single circle, it still looks like the trail is going down in the y direction and not forwards or positive in the z direction.
Also, how could I do this with (many) randomly placed circles as if they were stars?
My code is on jsfiddle (https://jsfiddle.net/5m7x5zxu/) and below:
var canvas = document.querySelector("canvas");
var context = canvas.getContext("2d");
var xPos = 180;
var yPos = 100;
var motionTrailLength = 16;
var positions = [];
function storeLastPosition(xPos, yPos) {
// push an item
positions.push({
x: xPos,
y: yPos
});
//get rid of first item
if (positions.length > motionTrailLength) {
positions.pop();
}
}
function update() {
context.clearRect(0, 0, canvas.width, canvas.height);
for (var i = positions.length-1; i > 0; i--) {
var ratio = (i - 1) / positions.length;
drawCircle(positions[i].x, positions[i].y, ratio);
}
drawCircle(xPos, yPos, "source");
var k=2;
storeLastPosition(xPos, yPos);
// update position
if (yPos > 125) {
positions.pop();
}
else{
yPos += k*1.1;
}
requestAnimationFrame(update);
}
update();
function drawCircle(x, y, r) {
if (r == "source") {
r = 1;
} else {
r*=1.1;
}
context.beginPath();
context.arc(x, y, 3, 0, 2 * Math.PI, true);
context.fillStyle = "rgba(255, 255, 255, " + parseFloat(1-r) + ")";
context.fill();
}
Canvas feedback and particles.
This type of FX can be done many ways.
You could just use a particle systems and draw stars (as lines) moving away from a central point, as the speed increase you increase the line length. When at low speed the line becomes a circle if you set ctx.lineWidth > 1 and ctx.lineCap = "round"
To add to the FX you can use render feedback as I think you have done by rendering the canvas over its self. If you render it slightly larger you get a zoom FX. If you use ctx.globalCompositeOperation = "lighter" you can increase the stars intensity as you speed up to make up for the overall loss of brightness as stars move faster.
Example
I got carried away so you will have to sift through the code to find what you need.
The particle system uses the Point object and a special array called bubbleArray to stop GC hits from janking the animation.
You can use just an ordinary array if you want. The particles are independent of the bubble array. When they have moved outside the screen they are move to a pool and used again when a new particle is needed. The update function moves them and the draw Function draws them I guess LOL
The function loop is the main loop and adds and draws particles (I have set the particle count to 400 but should handle many more)
The hyper drive is operated via the mouse button. Press for on, let go for off. (It will distort the text if it's being displayed)
The canvas feedback is set via that hyperSpeed variable, the math is a little complex. The sCurce function just limits the value to 0,1 in this case to stop alpha from going over or under 1,0. The hyperZero is just the sCurve return for 1 which is the hyper drives slowest speed.
I have pushed the feedback very close to the limit. In the first few lines of the loop function you can set the top speed if(mouse.button){ if(hyperSpeed < 1.75){ Over this value 1.75 and you will start to get bad FX, at about 2 the whole screen will just go white (I think that was where)
Just play with it and if you have questions ask in the comments.
const ctx = canvas.getContext("2d");
// very simple mouse
const mouse = {x : 0, y : 0, button : false}
function mouseEvents(e){
mouse.x = e.pageX;
mouse.y = e.pageY;
mouse.button = e.type === "mousedown" ? true : e.type === "mouseup" ? false : mouse.button;
}
["down","up","move"].forEach(name => document.addEventListener("mouse"+name,mouseEvents));
// High performance array pool using buubleArray to separate pool objects and active object.
// This is designed to eliminate GC hits involved with particle systems and
// objects that have short lifetimes but used often.
// Warning this code is not well tested.
const bubbleArray = () => {
const items = [];
var count = 0;
return {
clear(){ // warning this dereferences all locally held references and can incur Big GC hit. Use it wisely.
this.items.length = 0;
count = 0;
},
update() {
var head, tail;
head = tail = 0;
while(head < count){
if(items[head].update() === false) {head += 1 }
else{
if(tail < head){
const temp = items[head];
items[head] = items[tail];
items[tail] = temp;
}
head += 1;
tail += 1;
}
}
return count = tail;
},
createCallFunction(name, earlyExit = false){
name = name.split(" ")[0];
const keys = Object.keys(this);
if(Object.keys(this).indexOf(name) > -1){ throw new Error(`Can not create function name '${name}' as it already exists.`) }
if(!/\W/g.test(name)){
let func;
if(earlyExit){
func = `var items = this.items; var count = this.getCount(); var i = 0;\nwhile(i < count){ if (items[i++].${name}() === true) { break } }`;
}else{
func = `var items = this.items; var count = this.getCount(); var i = 0;\nwhile(i < count){ items[i++].${name}() }`;
}
!this.items && (this.items = items);
this[name] = new Function(func);
}else{ throw new Error(`Function name '${name}' contains illegal characters. Use alpha numeric characters.`) }
},
callEach(name){var i = 0; while(i < count){ if (items[i++][name]() === true) { break } } },
each(cb) { var i = 0; while(i < count){ if (cb(items[i], i++) === true) { break } } },
next() { if (count < items.length) { return items[count ++] } },
add(item) {
if(count === items.length){
items.push(item);
count ++;
}else{
items.push(items[count]);
items[count++] = item;
}
return item;
},
getCount() { return count },
}
}
// Helpers rand float, randI random Int
// doFor iterator
// sCurve curve input -Infinity to Infinity out -1 to 1
// randHSLA creates random colour
// CImage, CImageCtx create image and image with context attached
const randI = (min, max = min + (min = 0)) => (Math.random() * (max - min) + min) | 0;
const rand = (min = 1, max = min + (min = 0)) => Math.random() * (max - min) + min;
const doFor = (count, cb) => { var i = 0; while (i < count && cb(i++) !== true); }; // the ; after while loop is important don't remove
const sCurve = (v,p) => (2 / (1 + Math.pow(p,-v))) -1;
const randHSLA = (h, h1, s = 100, s1 = 100, l = 50, l1 = 50, a = 1, a1 = 1) => { return `hsla(${randI(h,h1) % 360},${randI(s,s1)}%,${randI(l,l1)}%,${rand(a,a1)})` }
const CImage = (w = 128, h = w) => (c = document.createElement("canvas"),c.width = w,c.height = h, c);
const CImageCtx = (w = 128, h = w) => (c = CImage(w,h), c.ctx = c.getContext("2d"), c);
// create image to hold text
var textImage = CImageCtx(1024, 1024);
var c = textImage.ctx;
c.fillStyle = "#FF0";
c.font = "64px arial black";
c.textAlign = "center";
c.textBaseline = "middle";
const text = "HYPER,SPEED FX,VII,,Battle of Jank,,Hold the mouse,button to increase,speed.".split(",");
text.forEach((line,i) => { c.fillText(line,512,i * 68 + 68) });
const maxLines = text.length * 68 + 68;
function starWarIntro(image,x1,y1,x2,y2,pos){
var iw = image.width;
var ih = image.height;
var hh = (x2 - x1) / (y2 - y1); // Slope of left edge
var w2 = iw / 2; // half width
var z1 = w2 - x1; // Distance (z) to first line
var z2 = (z1 / (w2 - x2)) * z1 - z1; // distance (z) between first and last line
var sk,t3,t3a,z3a,lines, z3, dd = 0, a = 0, as = 2 / (y2 - y1);
for (var y = y1; y < y2 && dd < maxLines; y++) { // for each line
t3 = ((y - y1) * hh) + x1; // get scan line top left edge
t3a = (((y+1) - y1) * hh) + x1; // get scan line bottom left edge
z3 = (z1 / (w2 - t3)) * z1; // get Z distance to top of this line
z3a = (z1 / (w2 - t3a)) * z1; // get Z distance to bottom of this line
dd = ((z3 - z1) / z2) * ih; // get y bitmap coord
a += as;
ctx.globalAlpha = a < 1 ? a : 1;
dd += pos; // kludge for this answer to make text move
// does not move text correctly
lines = ((z3a - z1) / z2) * ih-dd; // get number of lines to copy
ctx.drawImage(image, 0, dd , iw, lines, t3, y, w - t3 * 2, 1.5);
}
}
// canvas settings
var w = canvas.width;
var h = canvas.height;
var cw = w / 2; // center
var ch = h / 2;
// diagonal distance used to set point alpha (see point update)
var diag = Math.sqrt(w * w + h * h);
// If window size is changed this is called to resize the canvas
// It is not called via the resize event as that can fire to often and
// debounce makes it feel sluggish so is called from main loop.
function resizeCanvas(){
points.clear();
canvas.width = innerWidth;
canvas.height = innerHeight;
w = canvas.width;
h = canvas.height;
cw = w / 2; // center
ch = h / 2;
diag = Math.sqrt(w * w + h * h);
}
// create array of points
const points = bubbleArray();
// create optimised draw function itterator
points.createCallFunction("draw",false);
// spawns a new star
function spawnPoint(pos){
var p = points.next();
p = points.add(new Point())
if (p === undefined) { p = points.add(new Point()) }
p.reset(pos);
}
// point object represents a single star
function Point(pos){ // this function is duplicated as reset
if(pos){
this.x = pos.x;
this.y = pos.y;
this.dead = false;
}else{
this.x = 0;
this.y = 0;
this.dead = true;
}
this.alpha = 0;
var x = this.x - cw;
var y = this.y - ch;
this.dir = Math.atan2(y,x);
this.distStart = Math.sqrt(x * x + y * y);
this.speed = rand(0.01,1);
this.col = randHSLA(220,280,100,100,50,100);
this.dx = Math.cos(this.dir) * this.speed;
this.dy = Math.sin(this.dir) * this.speed;
}
Point.prototype = {
reset : Point, // resets the point
update(){ // moves point and returns false when outside
this.speed *= hyperSpeed; // increase speed the more it has moved
this.x += Math.cos(this.dir) * this.speed;
this.y += Math.sin(this.dir) * this.speed;
var x = this.x - cw;
var y = this.y - ch;
this.alpha = (Math.sqrt(x * x + y * y) - this.distStart) / (diag * 0.5 - this.distStart);
if(this.alpha > 1 || this.x < 0 || this.y < 0 || this.x > w || this.h > h){
this.dead = true;
}
return !this.dead;
},
draw(){ // draws the point
ctx.strokeStyle = this.col;
ctx.globalAlpha = 0.25 + this.alpha *0.75;
ctx.beginPath();
ctx.lineTo(this.x - this.dx * this.speed, this.y - this.dy * this.speed);
ctx.lineTo(this.x, this.y);
ctx.stroke();
}
}
const maxStarCount = 400;
const p = {x : 0, y : 0};
var hyperSpeed = 1.001;
const alphaZero = sCurve(1,2);
var startTime;
function loop(time){
if(startTime === undefined){
startTime = time;
}
if(w !== innerWidth || h !== innerHeight){
resizeCanvas();
}
// if mouse down then go to hyper speed
if(mouse.button){
if(hyperSpeed < 1.75){
hyperSpeed += 0.01;
}
}else{
if(hyperSpeed > 1.01){
hyperSpeed -= 0.01;
}else if(hyperSpeed > 1.001){
hyperSpeed -= 0.001;
}
}
var hs = sCurve(hyperSpeed,2);
ctx.globalAlpha = 1;
ctx.setTransform(1,0,0,1,0,0); // reset transform
//==============================================================
// UPDATE the line below could be the problem. Remove it and try
// what is under that
//==============================================================
//ctx.fillStyle = `rgba(0,0,0,${1-(hs-alphaZero)*2})`;
// next two lines are the replacement
ctx.fillStyle = "Black";
ctx.globalAlpha = 1-(hs-alphaZero) * 2;
//==============================================================
ctx.fillRect(0,0,w,h);
// the amount to expand canvas feedback
var sx = (hyperSpeed-1) * cw * 0.1;
var sy = (hyperSpeed-1) * ch * 0.1;
// increase alpha as speed increases
ctx.globalAlpha = (hs-alphaZero)*2;
ctx.globalCompositeOperation = "lighter";
// draws feedback twice
ctx.drawImage(canvas,-sx, -sy, w + sx*2 , h + sy*2)
ctx.drawImage(canvas,-sx/2, -sy/2, w + sx , h + sy)
ctx.globalCompositeOperation = "source-over";
// add stars if count < maxStarCount
if(points.getCount() < maxStarCount){
var cent = (hyperSpeed - 1) *0.5; // pulls stars to center as speed increases
doFor(10,()=>{
p.x = rand(cw * cent ,w - cw * cent); // random screen position
p.y = rand(ch * cent,h - ch * cent);
spawnPoint(p)
})
}
// as speed increases make lines thicker
ctx.lineWidth = 2 + hs*2;
ctx.lineCap = "round";
points.update(); // update points
points.draw(); // draw points
ctx.globalAlpha = 1;
// scroll the perspective star wars text FX
var scrollTime = (time - startTime) / 5 - 2312;
if(scrollTime < 1024){
starWarIntro(textImage,cw - h * 0.5, h * 0.2, cw - h * 3, h , scrollTime );
}
requestAnimationFrame(loop);
}
requestAnimationFrame(loop);
canvas { position : absolute; top : 0px; left : 0px; }
<canvas id="canvas"></canvas>
Here's another simple example, based mainly on the same idea as Blindman67, concetric lines moving away from center at different velocities (the farther from center, the faster it moves..) also no recycling pool here.
"use strict"
var c = document.createElement("canvas");
document.body.append(c);
var ctx = c.getContext("2d");
var w = window.innerWidth;
var h = window.innerHeight;
var ox = w / 2;
var oy = h / 2;
c.width = w; c.height = h;
const stars = 120;
const speed = 0.5;
const trailLength = 90;
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, w, h);
ctx.fillStyle = "#fff"
ctx.fillRect(ox, oy, 1, 1);
init();
function init() {
var X = [];
var Y = [];
for(var i = 0; i < stars; i++) {
var x = Math.random() * w;
var y = Math.random() * h;
X.push( translateX(x) );
Y.push( translateY(y) );
}
drawTrails(X, Y)
}
function translateX(x) {
return x - ox;
}
function translateY(y) {
return oy - y;
}
function getDistance(x, y) {
return Math.sqrt(x * x + y * y);
}
function getLineEquation(x, y) {
return function(n) {
return y / x * n;
}
}
function drawTrails(X, Y) {
var count = 1;
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, w, h);
function anim() {
for(var i = 0; i < X.length; i++) {
var x = X[i];
var y = Y[i];
drawNextPoint(x, y, count);
}
count+= speed;
if(count < trailLength) {
window.requestAnimationFrame(anim);
}
else {
init();
}
}
anim();
}
function drawNextPoint(x, y, step) {
ctx.fillStyle = "#fff";
var f = getLineEquation(x, y);
var coef = Math.abs(x) / 100;
var dist = getDistance( x, y);
var sp = speed * dist / 100;
for(var i = 0; i < sp; i++) {
var newX = x + Math.sign(x) * (step + i) * coef;
var newY = translateY( f(newX) );
ctx.fillRect(newX + ox, newY, 1, 1);
}
}
body {
overflow: hidden;
}
canvas {
position: absolute;
left: 0;
top: 0;
}
I have been creating a clone of agar.io and I don't understand why the circles start vibrating when they touch each other. Below is my code:
var
canvas,
ctx,
width = innerWidth,
height = innerHeight,
mouseX = 0,
mouseY = 0;
var
camera = {
x: 0,
y: 0,
update: function(obj) {
this.x = obj.x - width / 2;
this.y = obj.y - height / 2;
}
},
player = {
defaultMass: 54,
x: 0,
y: 0,
blobs: [],
update: function() {
for (var i = 0; i < this.blobs.length; i++) {
var x = mouseX + camera.x - this.blobs[i].x;
var y = mouseY + camera.y - this.blobs[i].y;
var length = Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2));
var speed = 54 / this.blobs[i].mass;
this.blobs[i].velX = x / length * speed * Math.min(1, Math.pow(x / this.blobs[i].mass, 2));
this.blobs[i].velY = y / length * speed * Math.min(1, Math.pow(x / this.blobs[i].mass, 2));
this.blobs[i].x += this.blobs[i].velX;
this.blobs[i].y += this.blobs[i].velY;
for (var j = 0; j < this.blobs.length; j++) {
if (j != i && this.blobs[i] !== undefined) {
var blob1 = this.blobs[i];
var blob2 = this.blobs[j];
var dist = Math.sqrt(Math.pow(blob2.x - blob1.x, 2) + Math.pow(blob2.y - blob1.y, 2));
if (dist < blob1.mass + blob2.mass) {
if (this.blobs[i].x < this.blobs[j].x) {
this.blobs[i].x--;
} else if (this.blobs[i].x > this.blobs[j].x) {
this.blobs[i].x++;
}
if (this.blobs[i].y < this.blobs[j].y) {
this.blobs[i].y--;
} else if ((this.blobs[i].y > this.blobs[j].y)) {
this.blobs[i].y++;
}
}
}
}
}
this.x += (mouseX - width / 2) / (width / 2) * 1;
this.y += (mouseY - height / 2) / (height / 2) * 1
},
split: function(cell) {
cell.mass /= 2;
this.blobs.push({
x: cell.x,
y: cell.y,
mass: cell.mass
});
},
draw: function() {
for (var i = 0; i < this.blobs.length; i++) {
ctx.fillStyle = "red";
ctx.beginPath();
ctx.arc(-camera.x + this.blobs[i].x, -camera.y + this.blobs[i].y, this.blobs[i].mass, 0, Math.PI * 2);
ctx.fill();
ctx.closePath();
}
}
};
function handleMouseMove(e) {
mouseX = e.clientX;
mouseY = e.clientY;
}
function setup() {
canvas = document.getElementById("game");
ctx = canvas.getContext("2d");
canvas.width = width;
canvas.height = height;
addEventListener("mousemove", handleMouseMove);
player.blobs.push({
x: 0,
y: 0,
mass: player.defaultMass
});
player.blobs.push({
x: 100,
y: 100,
mass: player.defaultMass / 2
});
player.blobs.push({
x: 100,
y: 100,
mass: player.defaultMass * 2
});
var loop = function() {
update();
draw();
requestAnimationFrame(loop);
}
requestAnimationFrame(loop);
}
function update() {
camera.update(player.blobs[0]);
player.update();
}
function draw() {
ctx.fillStyle = "#fff";
ctx.fillRect(0, 0, width, height);
player.draw();
}
setup();
body {
margin: 0;
padding: 0;
}
<canvas id="game">kindly update your browser.</canvas>
Separating circles
Your separation code was not correct. Use the vector between them to get the new pos.
The vector between them
To find if two circles are intercepting find the length of the vector from one to the next
The two circles.
var cir1 = {x : 100, y : 100, r : 120}; // r is the radius
var cir2 = {x : 250, y : 280, r : 150}; // r is the radius
The vector from cir2 to cir1
var vx = cir2.x - cir1.x;
var vy = cir2.y - cir1.y;
The length of the vector
var len = Math.sqrt(x * x + y * y);
// or use the ES6 Math.hypot function
/* var len = Math.hypot(x,y); */
The circles overlap if the sum of the radii is greater than the length of the vector between them
if(cir1.r + cir2.r > len){ // circles overlap
Normalise the vector
If they overlap you need to move one away from the other. There are many ways to do this, the simplest way is to move one circle along the line between them.
First normalise the vector from cir1 to cir2 by dividing by its (vector) length.
vx \= len;
vy \= len;
Note that the length could be zero. If this happens then you will get NaN in further calculations. If you suspect you may get one circle at the same location as another the easiest way to deal with the zero move one circle a little.
// replace the two lines above with
if(len === 0){ // circles are on top of each other
vx = 1; // move the circle (abstracted into the vector)
}else{
vx \= len; // normalise the vector
vy \= len;
}
Move circle/s to just touch
Now you have the normalised vector which is 1 unit long you can make it any length you need by multiplying the two scalars vx, vy with the desired length which in this case is the sum of the two circles radii.
var mx = vx * (cir1.r + cir2.r); // move distance
var my = vy * (cir1.r + cir2.r);
.Only use one of the following methods.
You can now position one of the circles the correct distance so that they just touch
// move cir1
cir1.x = cir2.x - mx;
cir1.y = cir2.y - my;
Or move the second circle
cir2.x = cir1.x + mx;
cir2.y = cir1.y + my;
Or move both circles but you will have to first find the proportional center between the two
var pLen = cir1.r / (cir1.r + cir2.r); // find the ratio of the radii
var cx = cir1.x + pLen * vx * len; // find the proportional center between
var cy = cir1.y + pLen * vy * len; // the two circles
Then move both circles away from that point by their radii
cir1.x = cx - vx * cir1.r; // move circle 1 away from the shared center
cir1.y = cy - vy * cir1.r;
cir2.x = cx + vx * cir2.r; // move circle 2 away from the shared center
cir2.y = cy + vy * cir2.r;
DEMO
Copy of OP's snippet with mods to fix problem by moving the the first circle blob1 away from the second blob2 and assuming they will never be at the same spot (no divide by zero)
var
canvas,
ctx,
width = innerWidth,
height = innerHeight,
mouseX = 0,
mouseY = 0;
var
camera = {
x: 0,
y: 0,
update: function(obj) {
this.x = obj.x - width / 2;
this.y = obj.y - height / 2;
}
},
player = {
defaultMass: 54,
x: 0,
y: 0,
blobs: [],
update: function() {
for (var i = 0; i < this.blobs.length; i++) {
var x = mouseX + camera.x - this.blobs[i].x;
var y = mouseY + camera.y - this.blobs[i].y;
var length = Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2));
var speed = 54 / this.blobs[i].mass;
this.blobs[i].velX = x / length * speed * Math.min(1, Math.pow(x / this.blobs[i].mass, 2));
this.blobs[i].velY = y / length * speed * Math.min(1, Math.pow(x / this.blobs[i].mass, 2));
this.blobs[i].x += this.blobs[i].velX;
this.blobs[i].y += this.blobs[i].velY;
for (var j = 0; j < this.blobs.length; j++) {
if (j != i && this.blobs[i] !== undefined) {
var blob1 = this.blobs[i];
var blob2 = this.blobs[j];
var x = blob2.x - blob1.x; // get the vector from blob1 to blob2
var y = blob2.y - blob1.y; //
var dist = Math.sqrt(x * x + y * y); // get the distance between the two blobs
if (dist < blob1.mass + blob2.mass) { // if the distance is less than the 2 radius
// if there is overlap move blob one along the line between the two the distance of the two radius
x /= dist; // normalize the vector. This makes the vector 1 unit long
y /= dist;
// multiplying the normalised vector by the correct distance between the two
// and subtracting that distance from the blob 2 give the new pos of
// blob 1
blob1.x = blob2.x - x * (blob1.mass + blob2.mass);
blob1.y = blob2.y - y * (blob1.mass + blob2.mass);
}
}
}
}
this.x += (mouseX - width / 2) / (width / 2) * 1;
this.y += (mouseY - height / 2) / (height / 2) * 1
},
split: function(cell) {
cell.mass /= 2;
this.blobs.push({
x: cell.x,
y: cell.y,
mass: cell.mass
});
},
draw: function() {
for (var i = 0; i < this.blobs.length; i++) {
ctx.fillStyle = "red";
ctx.beginPath();
ctx.arc(-camera.x + this.blobs[i].x, -camera.y + this.blobs[i].y, this.blobs[i].mass, 0, Math.PI * 2);
ctx.fill();
ctx.closePath();
}
}
};
function handleMouseMove(e) {
mouseX = e.clientX;
mouseY = e.clientY;
}
function setup() {
canvas = document.getElementById("game");
ctx = canvas.getContext("2d");
canvas.width = width;
canvas.height = height;
addEventListener("mousemove", handleMouseMove);
player.blobs.push({
x: 0,
y: 0,
mass: player.defaultMass
});
player.blobs.push({
x: 100,
y: 100,
mass: player.defaultMass / 2
});
player.blobs.push({
x: 100,
y: 100,
mass: player.defaultMass * 2
});
var loop = function() {
update();
draw();
requestAnimationFrame(loop);
}
requestAnimationFrame(loop);
}
function update() {
camera.update(player.blobs[0]);
player.update();
}
function draw() {
ctx.fillStyle = "#fff";
ctx.fillRect(0, 0, width, height);
player.draw();
}
setup();
body {
margin: 0;
padding: 0;
}
<canvas id="game">kindly update your browser.</canvas>
var
canvas,
ctx,
width = innerWidth,
height = innerHeight,
mouseX = 0,
mouseY = 0;
var
camera = {
x: 0,
y: 0,
update: function(obj) {
this.x = obj.x - width / 2;
this.y = obj.y - height / 2;
}
},
player = {
defaultMass: 54,
x: 0,
y: 0,
blobs: [],
update: function() {
for (var i = 0; i < this.blobs.length; i++) {
var x = mouseX + camera.x - this.blobs[i].x;
var y = mouseY + camera.y - this.blobs[i].y;
var length = Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2));
var speed = 54 / this.blobs[i].mass;
this.blobs[i].velX = x / length * speed * Math.min(1, Math.pow(x / this.blobs[i].mass, 2));
this.blobs[i].velY = y / length * speed * Math.min(1, Math.pow(x / this.blobs[i].mass, 2));
this.blobs[i].x += this.blobs[i].velX;
this.blobs[i].y += this.blobs[i].velY;
for (var j = 0; j < this.blobs.length; j++) {
if (j != i && this.blobs[i] !== undefined) {
var blob1 = this.blobs[i];
var blob2 = this.blobs[j];
var dist = Math.sqrt(Math.pow(blob2.x - blob1.x, 2) + Math.pow(blob2.y - blob1.y, 2));
if (dist < blob1.mass + blob2.mass) {
if (this.blobs[i].x < this.blobs[j].x) {
this.blobs[i].x--;
} else if (this.blobs[i].x > this.blobs[j].x) {
this.blobs[i].x++;
}
if (this.blobs[i].y < this.blobs[j].y) {
this.blobs[i].y--;
} else if ((this.blobs[i].y > this.blobs[j].y)) {
this.blobs[i].y++;
}
}
}
}
}
this.x += (mouseX - width / 2) / (width / 2) * 1;
this.y += (mouseY - height / 2) / (height / 2) * 1
},
split: function(cell) {
cell.mass /= 2;
this.blobs.push({
x: cell.x,
y: cell.y,
mass: cell.mass
});
},
draw: function() {
for (var i = 0; i < this.blobs.length; i++) {
ctx.fillStyle = "red";
ctx.beginPath();
ctx.arc(-camera.x + this.blobs[i].x, -camera.y + this.blobs[i].y, this.blobs[i].mass, 0, Math.PI * 2);
ctx.fill();
ctx.closePath();
}
}
};
function handleMouseMove(e) {
mouseX = e.clientX;
mouseY = e.clientY;
}
function setup() {
canvas = document.getElementById("game");
ctx = canvas.getContext("2d");
canvas.width = width;
canvas.height = height;
addEventListener("mousemove", handleMouseMove);
player.blobs.push({
x: 0,
y: 0,
mass: player.defaultMass
});
player.blobs.push({
x: 100,
y: 100,
mass: player.defaultMass / 2
});
player.blobs.push({
x: 100,
y: 100,
mass: player.defaultMass * 2
});
var loop = function() {
update();
draw();
requestAnimationFrame(loop);
}
requestAnimationFrame(loop);
}
function update() {
camera.update(player.blobs[0]);
player.update();
}
function draw() {
ctx.fillStyle = "#fff";
ctx.fillRect(0, 0, width, height);
player.draw();
}
setup();
body {
margin: 0;
padding: 0;
}
<canvas id="game">kindly update your browser.</canvas>
I'm trying to learn HTML5 and found a very simple particle system wich i modded a bit.
I would like to create a line, between particles, if the distance between the particles is within the range 0-20.
What I currently have draws a line between every particle, no matter the distance.
This is where I try to check the distance, but I can't figure out how to do this. Would appreciate any help and explanations. Thanks in advance.
// This particle
var p = particles[t];
// Check position distance to other particles
for (var q = 0; q < particles.length; q++) {
if (particles[q].x - p.x < line_distance || p.x - particles[q].x < line_distance) {
ctx.beginPath();
ctx.lineWidth = .1;
ctx.strokeStyle = '#fff';
ctx.moveTo(p.x, p.y);
ctx.lineTo(particles[q].x, particles[q].y);
ctx.stroke();
}
}
// Request animation frame
var requestAnimationFrame = window.requestAnimationFrame ||
window.mozRequestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.msRequestAnimationFrame;
// Canvas
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
// Set fullscreen
canvas.width = document.documentElement.clientWidth;
canvas.height = document.documentElement.clientHeight;
// Options
var num =30; // Number of particles to draw
var size = 3; // Particle size
var color = '#fff'; // Particle color
var min_speed = 1; // Particle min speed
var max_speed = 3; // Particle max speed
var line_distance = 20; // This is the max distance between two particles
// if we want to draw a line between them
// Particles array
var particles = [];
for (var i = 0; i < num; i++) {
particles.push(
new create_particle()
);
}
// Lets animate the particle
function draw() {
// Background
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Lets draw particles from the array now
for (var t = 0; t < particles.length; t++) {
// This particle
var p = particles[t];
for (var q = 0; q < particles.length; q++) {
// Check position distance
if (particles[q].x - p.x < line_distance || p.x - particles[q].x < line_distance) {
ctx.beginPath();
ctx.lineWidth = .1;
ctx.strokeStyle = '#fff';
ctx.moveTo(p.x, p.y);
ctx.lineTo(particles[q].x, particles[q].y);
ctx.stroke();
}
}
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (num === 1) {
ctx.fillText('Y:'+ p.y, 20, 20);
ctx.fillText('X:'+ p.x, 20, 40);
ctx.fillText('YV:'+ p.vy, 20, 60);
ctx.fillText('XV:'+ p.vx, 20, 80);
}
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx*= (p.vx / -p.vx);
if (p.y < size) p.vy*= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx*= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy*= (-p.vy / p.vy);
}
// Loop
requestAnimationFrame(draw);
}
// Function for particle creation
function create_particle() {
// Random position
this.x = Math.random() * canvas.width;
this.y = Math.random() * canvas.height;
// Velocity
this.vx = random_int_between(min_speed, max_speed);
this.vy = random_int_between(min_speed, max_speed);
// Color & Size
this.color = color;
this.radius = size;
}
// Random number between (used for speed)
function random_int_between(min, max) {
return Math.floor(Math.random() * max) + min;
}
draw();
<canvas id="canvas"></canvas>
N body Particle systems
As this is an N body case and no one said anything about CPU load.
CPU Load
Particle systems can quickly bog down a CPU in an overload of processing. This is particularly true when you are testing each particle against the other. As particle systems are almost always for realtime graphics ineffective coding can destroy the whole animation.
Do nothing not needed
First as you are only looking for a threshold distance you can optimise the calculations by not continuing to calculate as soon as you know that there is a fail in the test.
So set up the threshold distance
var dist = 20;
var distSq = dist * dist; // No need to square this inside loops
Then in the loop as you calculate test and continue. Assuming p1 and p2 are particles
x = p2.x-p1.x; // do x first
if((x *= x) < distSq){ // does it pass?? if not you have saved calculating y
y = p2.y-p1.y; // now do y as you know x is within distance
if(x + (y * y) < distSq){ // now you know you are within 20
// draw the line
Assuming only 1/6 will pass and 1/3 come close you save over half the CPU load. You will also notice that I don't use the CPU heavy sqrt of the distance. There is no need as there is a one to one match between a number and the square of a number. If the square root of a number is less than the distance so will the square of the number be less than the square of the distance.
N body Squared
Never do a N body sim with two for loops like this.
for(i = 0; i < particles.length; i ++){
for(j = 0; j < particles.length; j ++){
// you will test all i for j and all j for i but half of them are identical
// and the square root of the number are self to self
This hurts me just to look at as the solution is so so simple.
Assuming you have 100 particles at 60 frames a second you are doing 60 * 100 * 100 comparisons a second (600,000) for 100 particles. Thats is a total waste of CPU time.
Never do something twice, or that you know the answer to.
To improve the for loops and avoid testing distances you already know and testing how far each particle is from itself
var len = particles.length; // move the length out as it can be expensive
// and pointless as the value does not change;
for(i = 0; i < len; i ++){
for(j = i + 1; j < len; j ++){
// Now you only test each particle against each other once rather than twice
Thus with just a few simple characters (for(j = 0 becomes for(j = i + 1) you more than half the CPU load, from 600,000 comparisons down to less than 300,000
The human eye is easy to fool
Fooling the eye is the best way to get extra performance from your animations.
This is a visual effect and the human eye does not see pixels nor does it it see individual frames at 1/60th a second, but it does see a drop in frame rate. Creating a complex particle system can an excellent FX but if it drops the frame rate the benefit is lost. Take advantage of the fact that pixels are to small and 1/20th of a second is way beyond the human ability to find error is the best way to optimise FXs and add more bang per CPU tick.
The demo below has two particle sims. 100 points each. Any points that come within 49 pixels have a line drawn between them. One does all the stuff I demonstrated above the other sacrifices a little memory and a lot off acuracy and only calculates the distances between 1/3rd of the points every frame. As the max speed can be close to half the line length a frame, skipping 2 frames can make a line twice as long or two points be too close without a line. There is a massive CPU saving in doing this, but you can not pick which is which.
Click on which sim you think is skipping points to find out which is which.
var canvas = document.createElement("canvas");
canvas.width= 540;
canvas.height = 270;
var ctx = canvas.getContext("2d");
document.body.appendChild(canvas);
mouseX = 0;
mouseB = false;
function clickedFun(event){
mouseX = event.clientX
mouseB = true;
}
canvas.addEventListener("click",clickedFun);
var w = 250;
var h = 250;
var wh = w/2;
var hh = h/2;
var speedMax = 5;
var partSize = 2;
var count = 100
var grav = 1;
var pA1 = []; // particle arrays
var pA2 = [];
var PI2 = Math.PI * 2;
// populate particle arrays
for(var i = 0; i < count; i += 1){
// dumb list
pA1.push({
x : Math.random() * w,
y : Math.random() * h,
dx : (Math.random() -0.5)*speedMax,
dy : (Math.random() -0.5)*speedMax,
})
// smart list
pA2.push({
x : Math.random() * w,
y : Math.random() * h,
dx : (Math.random() -0.5)*speedMax,
dy : (Math.random() -0.5)*speedMax,
links : [], // add some memory
})
for(var j = 0; j < count; j += 1){
pA2[i].links[i] = false; // set memory to no links
}
}
// move and draw the dots. Just a simple gravity sim
function drawAll(parts){
var x,y,d;
var i = 0;
var len = parts.length;
var p;
ctx.beginPath();
for(;i < len; i++){
p = parts[i];
x = wh-p.x;
y = hh-p.y;
d = x*x + y*y;
x *= grav / d;
y *= grav / d;
p.dx += x;
p.dy += y;
p.x += p.dx;
p.y += p.dy;
if(p.x <= 0){
p.dx -= p.dx/2;
p.x = 1;
}else
if(p.x >= w){
p.dx -= p.dx/2;
p.x = w-1;
}
if(p.y <= 0){
p.dy -= p.dy/2;
p.y = 1;
}else
if(p.y >= h){
p.dy -= p.dy/2;
p.y = w-1;
}
ctx.moveTo(p.x+partSize,p.y)
ctx.arc(p.x,p.y,partSize,0,PI2)
}
ctx.fill();
}
//Old style line test. If two particles are less than dist apart
// draw a line between them
function linesBetween(parts,dist){
var distSq = dist*dist;
var x,y,d,j;
var i = 0;
var len = parts.length;
var p,p1;
ctx.beginPath();
for(; i < len; i ++){
p = parts[i];
for(j = i + 1; j < len; j ++){
p1 = parts[j];
x = p1.x-p.x;
if((x *= x) < distSq){
y = p1.y-p.y;
if(x + (y*y) < distSq){
ctx.moveTo(p.x,p.y);
ctx.lineTo(p1.x,p1.y)
}
}
}
}
ctx.stroke();
}
var counter = 0;// counter for multyplexing
// Fast version. As the eye can not posible see the differance of
// of 4 pixels over 1/30th of a second only caculate evey third
// particls
function linesBetweenFast(parts,dist){
var distSq = dist*dist;
var x,y,d,j,l;
var i = 0;
counter += 1;
var cc = counter % 3;
var wr,re;
var len = parts.length;
var p,p1;
var lineSet
ctx.beginPath();
for(; i < len; i ++){
p = parts[i];
l = p.links;
for(j = i + 1; j < len; j += 1){
p1 = parts[j];
if((j + cc)%3 === 0){ // only every third particle
lineSet = false; // test for diferance default to fail
x = p1.x-p.x;
if((x *= x) < distSq){
y = p1.y-p.y;
if(x + (y*y) < distSq){
lineSet = true; // yes this needs a line
}
}
l[j] = lineSet; // flag it as needing a line
}
if(l[j]){ // draw the line if needed
ctx.moveTo(p.x,p.y);
ctx.lineTo(p1.x,p1.y);
}
}
}
ctx.stroke();
}
var drawLines; // to hold the function that draws lines
// set where the screens are drawn
var left = 10;
var right = 10 * 2 + w;
// Now to not cheat swap half the time
if(Math.random() < 0.5){
right = 10;
left = 10 * 2 + w;
}
// draws a screem
var doScreen = function(parts){
ctx.fillStyle = "red"
drawAll(parts);
ctx.strokeStyle = "black";
ctx.lineWidth = 1;
drawLines(parts,49);
}
var guess = ""
var guessPos;
var gueesCol;
ctx.font = "40px Arial Black";
ctx.textAlign = "center";
ctx.textBasline = "middle"
var timer = 0;
function update(){
ctx.setTransform(1,0,0,1,0,0);
ctx.clearRect(0,0,canvas.width,canvas.height);
ctx.setTransform(1,0,0,1,left,10);
ctx.strokeStyle = "red";
ctx.lineWidth = 4;
ctx.strokeRect(0,0,w,h);
drawLines = linesBetween;
doScreen(pA1)
ctx.setTransform(1,0,0,1,right,10);
ctx.strokeStyle = "red";
ctx.lineWidth = 4;
ctx.strokeRect(0,0,w,h);
drawLines = linesBetweenFast
doScreen(pA2)
if(mouseB){
if((mouseX > 270 && right >250) ||
(mouseX < 250 && right < 250)){
guess = "CORRECT!"
guessPos = right;
guessCol = "Green";
}else{
guess = "WRONG"
guessPos = left
guessCol = "Red";
}
timer = 120;
mouseB = false;
}else
if(timer > 0){
timer -= 1;
if(timer > 30){
ctx.setTransform(1,0,0,1,guessPos,10);
ctx.font = "40px Arial Black";
ctx.fillStyle = guessCol;
ctx.fillText(guess,w/2,h/2);
}else{
if(Math.random() < 0.5){
right = 10;
left = 10 * 2 + w;
}else{
left = 10;
right = 10 * 2 + w;
}
}
}else{
ctx.setTransform(1,0,0,1,0,0);
ctx.font = "16px Arial Black";
var tw = ctx.measureText("Click which sim skips 2/3rd of").width +30;
ctx.beginPath();
ctx.fillStyle = "#DDD";
ctx.strokeStyle = "Red";
ctx.rect(270-tw/2,-5,tw,40);
ctx.stroke();
ctx.fill();
ctx.fillStyle = "blue";
ctx.fillText("Click which sim skips 2/3rd of",270,15) ;
ctx.fillText("particle tests every frame",270,30) ;
}
requestAnimationFrame(update);
}
update();
This is just your test which is wrong.
a-b < c || b-a < c is always true (except if a-b == c)
replace by abs(a-b) < c if you want to test "x" distance, or by using the above formula if you want an euclidian distance
// Request animation frame
var requestAnimationFrame = window.requestAnimationFrame ||
window.mozRequestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.msRequestAnimationFrame;
// Canvas
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
// Set fullscreen
canvas.width = document.documentElement.clientWidth;
canvas.height = document.documentElement.clientHeight;
// Options
var num =30; // Number of particles to draw
var size = 3; // Particle size
var color = '#fff'; // Particle color
var min_speed = 1; // Particle min speed
var max_speed = 3; // Particle max speed
var line_distance = 20; // This is the max distance between two particles
// if we want to draw a line between them
// Particles array
var particles = [];
for (var i = 0; i < num; i++) {
particles.push(
new create_particle()
);
}
// Lets animate the particle
function draw() {
// Background
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Lets draw particles from the array now
for (var t = 0; t < particles.length; t++) {
// This particle
var p = particles[t];
for (var q = 0; q < particles.length; q++) {
// Check position distance
if (Math.abs(particles[q].x - p.x) < line_distance) {
ctx.beginPath();
ctx.lineWidth = .1;
ctx.strokeStyle = '#fff';
ctx.moveTo(p.x, p.y);
ctx.lineTo(particles[q].x, particles[q].y);
ctx.stroke();
}
}
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (num === 1) {
ctx.fillText('Y:'+ p.y, 20, 20);
ctx.fillText('X:'+ p.x, 20, 40);
ctx.fillText('YV:'+ p.vy, 20, 60);
ctx.fillText('XV:'+ p.vx, 20, 80);
}
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx*= (p.vx / -p.vx);
if (p.y < size) p.vy*= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx*= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy*= (-p.vy / p.vy);
}
// Loop
requestAnimationFrame(draw);
}
// Function for particle creation
function create_particle() {
// Random position
this.x = Math.random() * canvas.width;
this.y = Math.random() * canvas.height;
// Velocity
this.vx = random_int_between(min_speed, max_speed);
this.vy = random_int_between(min_speed, max_speed);
// Color & Size
this.color = color;
this.radius = size;
}
// Random number between (used for speed)
function random_int_between(min, max) {
return Math.floor(Math.random() * (max-min)) + min;
}
draw();
<canvas id="canvas" width="300" height="300"></canvas>
// Request animation frame
var requestAnimationFrame = window.requestAnimationFrame ||
window.mozRequestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.msRequestAnimationFrame;
// Canvas
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
// Set fullscreen
canvas.width = document.documentElement.clientWidth;
canvas.height = document.documentElement.clientHeight;
// Options
var num =30; // Number of particles to draw
var size = 3; // Particle size
var color = '#fff'; // Particle color
var min_speed = 1; // Particle min speed
var max_speed = 3; // Particle max speed
var line_distance = 20; // This is the max distance between two particles
// if we want to draw a line between them
// Particles array
var particles = [];
for (var i = 0; i < num; i++) {
particles.push(
new create_particle()
);
}
// Lets animate the particle
function draw() {
// Background
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Lets draw particles from the array now
for (var t = 0; t < particles.length; t++) {
// This particle
var p = particles[t];
for (var q = 0; q < particles.length; q++) {
// Check position distance
if (particles[q].x - p.x < line_distance || p.x - particles[q].x < line_distance) {
ctx.beginPath();
ctx.lineWidth = .1;
ctx.strokeStyle = '#fff';
ctx.moveTo(p.x, p.y);
ctx.lineTo(particles[q].x, particles[q].y);
ctx.stroke();
}
}
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (num === 1) {
ctx.fillText('Y:'+ p.y, 20, 20);
ctx.fillText('X:'+ p.x, 20, 40);
ctx.fillText('YV:'+ p.vy, 20, 60);
ctx.fillText('XV:'+ p.vx, 20, 80);
}
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx*= (p.vx / -p.vx);
if (p.y < size) p.vy*= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx*= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy*= (-p.vy / p.vy);
}
// Loop
requestAnimationFrame(draw);
}
// Function for particle creation
function create_particle() {
// Random position
this.x = Math.random() * canvas.width;
this.y = Math.random() * canvas.height;
// Velocity
this.vx = random_int_between(min_speed, max_speed);
this.vy = random_int_between(min_speed, max_speed);
// Color & Size
this.color = color;
this.radius = size;
}
// Random number between (used for speed)
function random_int_between(min, max) {
return Math.floor(Math.random() * max) + min;
}
draw();
<canvas id="canvas"></canvas>
To calculate the distance between two points, you should use pythagoras theorem:
length = sqrt(a² + b²)
Where a is the length of one side, and b is the length of the other side.
var a = (x2 - x1);
var b = (y2 - y1);
var sum = (a * a) + (b * b);
var length = Math.sqrt(sum);
This can be turned into a function, since you know you'll have particles that have an x and y.
function calcLength(particle1, particle2) {
var xDiff = particle2.x - particle1.x;
var yDiff = particle2.y - particle1.y;
var sum = (xDiff * xDiff) + (yDiff * yDiff);
return Math.sqrt(sum);
}
Then you can use that function in your code:
for (var t = 0; t < particles.length; t++) {
var p = particles[t];
for (var q = 0; q < particles.length; q++) {
var p2 = particles[q];
if (calcLength(p, p2) < 20) {
// draw a line between the particles
}
}
}
To calculate the distance between two points you use the pythagorean theorem. http://www.purplemath.com/modules/distform.htm
// Request animation frame
var requestAnimationFrame = window.requestAnimationFrame ||
window.mozRequestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.msRequestAnimationFrame;
// Canvas
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
// Set fullscreen
canvas.width = document.documentElement.clientWidth;
canvas.height = document.documentElement.clientHeight;
// Options
var num =30; // Number of particles to draw
var size = 3; // Particle size
var color = '#fff'; // Particle color
var min_speed = 1; // Particle min speed
var max_speed = 3; // Particle max speed
var line_distance = 20; // This is the max distance between two particles
// if we want to draw a line between them
// Particles array
var particles = [];
for (var i = 0; i < num; i++) {
particles.push(
new create_particle()
);
}
// Lets animate the particle
function draw() {
// Background
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Lets draw particles from the array now
for (var t = 0; t < particles.length; t++) {
// This particle
var p = particles[t];
for (var q = 0; q < particles.length; q++) {
// Check position distance
if (distance(particles[q], p) < line_distance) {
ctx.beginPath();
ctx.lineWidth = 1;
ctx.strokeStyle = '#fff';
ctx.moveTo(p.x, p.y);
ctx.lineTo(particles[q].x, particles[q].y);
ctx.stroke();
}
}
// Color
ctx.fillStyle = color;
// Circle path
ctx.beginPath();
ctx.arc(p.x, p.y, p.radius, Math.PI * 2, false);
ctx.fill();
// Lets use the velocity now
p.x += p.vx;
p.y += p.vy;
// If there is only 1 particle
// show X, Y, and velocity
if (num === 1) {
ctx.fillText('Y:'+ p.y, 20, 20);
ctx.fillText('X:'+ p.x, 20, 40);
ctx.fillText('YV:'+ p.vy, 20, 60);
ctx.fillText('XV:'+ p.vx, 20, 80);
}
// To prevent the balls from moving out of the canvas
if (p.x < size) p.vx*= (p.vx / -p.vx);
if (p.y < size) p.vy*= (p.vy / -p.vy);
if (p.x > canvas.width - size) p.vx*= (-p.vx / p.vx);
if (p.y > canvas.height - size) p.vy*= (-p.vy / p.vy);
}
// Loop
requestAnimationFrame(draw);
}
// Function for particle creation
function create_particle() {
// Random position
this.x = Math.random() * canvas.width;
this.y = Math.random() * canvas.height;
// Velocity
this.vx = random_int_between(min_speed, max_speed);
this.vy = random_int_between(min_speed, max_speed);
// Color & Size
this.color = color;
this.radius = size;
}
// Random number between (used for speed)
function random_int_between(min, max) {
return Math.floor(Math.random() * max) + min;
}
draw();
function distance(pointA, pointB){
var dx = pointB.x - pointA.x;
var dy = pointB.y - pointA.y;
return Math.sqrt(dx*dx + dy*dy);
}
<canvas id="canvas"></canvas>
Please note I increased the lineWidth to 1, so you could see better the result
You have a coordinate system - use the Pythagorean theorem.
I want to draw circular balls on an HTML canvas in a pyramid pattern.
Like this:
Fiddle where you can show me the algorithm:
https://jsfiddle.net/ofxmr17c/3/
var canvas = document.getElementById('canvas');
canvas.width = 400;
canvas.height = 400;
var ctx = canvas.getContext('2d');
var balls = [];
var ballsLength = 15;
var Ball = function() {
this.x = 0;
this.y = 0;
this.radius = 10;
};
Ball.prototype.draw = function(x, y) {
this.x = x;
this.y = y;
ctx.fillStyle = '#333';
ctx.beginPath();
ctx.arc(this.x, this.y, this.radius, 0, Math.PI * 2, true);
ctx.fill();
ctx.closePath();
};
init();
function init() {
for (var i = 0; i < ballsLength; i++) {
balls.push(new Ball());
}
render();
}
function render() {
for (var i = 1; i <= ballsLength; i++) {
if (i >= 1 && i <= 5) {
balls[i].draw(i * 20 + balls[i].radius, 20 + balls[i].radius);
}
if (i >= 6 && i <= 9) {
balls[i].draw(i * 20 + balls[i].radius, 20 + balls[i].radius * 2);
}
if (i >= 10 && i <= 12) {
balls[i].draw(i * 20 + balls[i].radius, 20 + balls[i].radius * 3);
}
if (i >= 13 && i <= 14) {
balls[i].draw(i * 20 + balls[i].radius, 20 + balls[i].radius * 4);
}
if (i == 15) {
balls[i].draw(i * 20 + balls[i].radius, 20 + balls[i].radius * 5);
}
}
window.requestAnimationFrame(render);
}
canvas {
border: 1px solid #333;
}
<canvas id="canvas"></canvas>
I have Ball class with x, y and radius variables:
var Ball = function() {
this.x = 0;
this.y = 0;
this.radius = 10;
};
Then I have method of the Ball class which draws the balls on the canvas:
Ball.prototype.draw = function(x, y) {
this.x = x;
this.y = y;
ctx.fillStyle = '#333';
ctx.beginPath();
ctx.arc(this.x, this.y, this.radius, 0, Math.PI * 2, true);
ctx.fill();
ctx.closePath();
};
I want to create method which will place any number of balls into a pyramid.
The live demo below shows how to pack an arbitrary number of balls into a pyramid using a bit of trigonometry. To change the amount of layers in the pyramid (and thus the number of balls), edit the NUM_ROWS variable.
This is how it looks when it's done:
Live Demo:
var canvas = document.getElementById('canvas');
canvas.width = 400;
canvas.height = 400;
var ctx = canvas.getContext('2d');
var balls = [];
var ballsLength = 15;
var Ball = function() {
this.x = 0;
this.y = 0;
this.radius = 10;
};
Ball.prototype.draw = function(x, y) {
this.x = x;
this.y = y;
ctx.fillStyle = '#333';
ctx.beginPath();
ctx.arc(this.x, this.y, this.radius, 0, Math.PI * 2, true);
ctx.fill();
ctx.closePath();
};
init();
function init() {
for (var i = 0; i < ballsLength; i++) {
balls.push(new Ball());
}
render();
}
function render() {
var NUM_ROWS = 5;
for (var i = 1; i <= NUM_ROWS; i++) {
for (var j = 0; j < i; j++) {
balls[i].draw(j * balls[0].radius * 2 + 150 - i * balls[0].radius, -(i * balls[0].radius * 2 * Math.sin(Math.PI / 3)) + 150);
}
}
//window.requestAnimationFrame(render);
}
canvas {
border: 1px solid #333;
}
<canvas id="canvas"></canvas>
JSFiddle Version: https://jsfiddle.net/ofxmr17c/6/
A billiard pyramid like this is always made with some known facts:
Each row always contains one more ball than the previous
It's an equilateral equal angled (sp? in english?) triangle which means next row always starts offset 60°
So we can make a vector (everything else in a billiard game would very much involve vectors so why not! :) ) for the direction of the next row's start point like so:
var deg60 = -60 / 180 * Math.PI; // -60°, up-right direction
var v = {
x: radius * Math.cos(deg60),
y: radius * Math.sin(deg60)
}
Then the algorithm would be (driven by total number of balls):
Start with a max limit of 1 for first row
Plot balls until max limit for row is reached
Then, add one to the max limit
Reset row count
Move position to beginning of last row + vector
Repeat until number of balls is reached
Result:
Example
var ctx = c.getContext("2d"),
radius = 9, // ball radius
deg = -60 / 180 * Math.PI, // direction of row start -60°
balls = 15, // number of balls to draw
drawn = 0, // count balls drawn on current row
rowLen = 1, // max length of current row (first=1)
x = 150, // start point
y = 140,
cx = 150, cy =140, // replicates start point + offsets
v = { // vector
x: radius * 2 * Math.cos(deg),
y: radius * 2 * Math.sin(deg)
},
i;
for(i = 0; i < balls; i++) {
drawBall(cx, cy); // draw ball
cx -= radius * 2; // move diameter of ball to left (in this case)
drawn++; // increase balls on row count
if (drawn === rowLen) { // reached max balls for row?
cx = x + v.x * rowLen; // increase one row
cy = y + v.y * rowLen;
drawn = 0; // reset ball count for row
rowLen++; // increase row limit
}
}
ctx.fillStyle = "#D70000";
ctx.fill();
function drawBall(x, y) {
ctx.moveTo(x + radius, y); ctx.arc(x, y, radius, 0, 6.28);
ctx.closePath();
}
<canvas id=c height=300></canvas>
If you want more flexibility in terms of rotation you can simply swap this line:
cx -= radius * 2;
with a vector perpendicular (calculation not shown) to the first vector so:
cx += pv.x;
cy += pv.y;