Tag: physics

Now that we have our framework for animation we can make things a bit more fluid. Let’s use a velocity to update the positions or coordinates of each dot rather than just throwing random numbers at them. We can then adjust the velocity or rate of movement and it will be a much more natural and fluid movement. Adding to each dot a vx and vy (we’re looking at the velocity in each dimension or axis). Then we update the x and y each frame by the current velocity. This iteration we’re just applying a flat random velocity, but it will be easy to apply a force like gravity, friction or anything to this velocity and it will calculate the balls position for us. This is when physics gets fun. interactive physics animations via javascript & canvas | 10.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;
var total_dots = 25;
var fps = 24;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);
var dots = new Array();
var drag_i = -1;

var this_dot = {};
for (var i=0; i < total_dots; i++){ var this_dot = { x: Math.random()*canvas.width, y: Math.random()*canvas.height, vx: Math.random()*30-10, vy: Math.random()*30-10, width:canvas.width, height: canvas.height, radius:Math.random()*20+10 }; dots.push(this_dot); } draw(); $("#canvas").mousedown(function (event) { var dx, dy, dist; for (var i=0; i < dots.length; i++){ dx = event.pageX - this.offsetLeft - dots[i].x; dy = event.pageY - this.offsetTop - dots[i].y; dist = Math.sqrt(dx * dx + dy * dy); if(dist < radius) { drag = true; drag_i = i clickX = dx; clickY = dy; continue; } } }); $("#canvas").mouseup(function (event) { drag = false; drag_i = -1; }); $("#canvas").mousemove(function (event) { if(drag) { dots[drag_i].x = event.pageX - this.offsetLeft - clickX; dots[drag_i].y = event.pageY - this.offsetTop - clickY; draw(); } }); function update(){ for (var i=0; i < dots.length; i++){ if (drag_i != i){ var this_dot = dots[i]; this_dot.vy = this_dot.vy; this_dot.vx = this_dot.vx; this_dot.x += this_dot.vx; this_dot.y += this_dot.vy; if (this_dot.x > canvas.width – this_dot.radius){
this_dot.x = canvas.width – this_dot.radius;
this_dot.vx = this_dot.vx * bounce;
}
else if(this_dot.x < 0 + this_dot.radius){ this_dot.x = this_dot.radius; this_dot.vx = this_dot.vx * bounce; } if (this_dot.y > canvas.height – this_dot.radius){
this_dot.y = canvas.height – this_dot.radius;
this_dot.vy = this_dot.vy * bounce;
}
else if(this_dot.y < 0 + this_dot.radius){ this_dot.y = this_dot.radius; this_dot.vy = this_dot.vy * bounce; } } } } function draw() { context.clearRect(0, 0, canvas.width, canvas.height); for (var i=0; i < dots.length; i++){ context.beginPath(); context.arc(dots[i].x, dots[i].y, dots[i].radius, 0, Math.PI * 2, false); context.fill(); context.closePath(); } } setInterval(function() { update(); draw(); }, 1000/fps); }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.

Here’s a quick and easy update. I tend to think of frames in animation and rarely do I think of milliseconds. I’m going to make a var called fps and it will be used to calculate our animation rate. interactive physics animations via javascript & canvas | 09.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;
var total_dots = 25;
var fps = 24;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);
var dots = new Array();
var drag_i = -1;

var this_dot = {};
for (var i=0; i < total_dots; i++){ var this_dot = { x: Math.random()*canvas.width, y: Math.random()*canvas.height, width:canvas.width, height: canvas.height, radius:Math.random()*20+10 }; dots.push(this_dot); } draw(); $("#canvas").mousedown(function (event) { var dx, dy, dist; for (var i=0; i < dots.length; i++){ dx = event.pageX - this.offsetLeft - dots[i].x; dy = event.pageY - this.offsetTop - dots[i].y; dist = Math.sqrt(dx * dx + dy * dy); if(dist < radius) { drag = true; drag_i = i clickX = dx; clickY = dy; continue; } } }); $("#canvas").mouseup(function (event) { drag = false; drag_i = -1; }); $("#canvas").mousemove(function (event) { if(drag) { dots[drag_i].x = event.pageX - this.offsetLeft - clickX; dots[drag_i].y = event.pageY - this.offsetTop - clickY; draw(); } }); function update(){ for (var i=0; i < dots.length; i++){ if (drag_i != i){ var this_dot = dots[i]; this_dot.x += Math.random() * 10 - 5; this_dot.y += Math.random() * 10 - 5; } } } function draw() { context.clearRect(0, 0, canvas.width, canvas.height); for (var i=0; i < dots.length; i++){ context.beginPath(); context.arc(dots[i].x, dots[i].y, dots[i].radius, 0, Math.PI * 2, false); context.fill(); context.closePath(); } } setInterval(function() { update(); draw(); }, 1000/fps); }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.

Thus far, we’ve been doing lot of setup and it hasn’t been very visually exciting. Now we start the fun stuff! Adding motion! Before we just has a draw function, but now we’ll add a function that will control the animations and we’ll also need a way to execute code repeatedly over a period of time. We’ll use a setInterval function to call first update and then draw multiple times a second and this will give the essence of animation! Here we’re just adjusting the coordinates of each of the dots every time the update function is fired, which happens to be every 100 milliseconds, or 10 times a second. interactive physics animations via javascript & canvas | 08.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;
var total_dots = 25;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);
var dots = new Array();
var drag_i = -1;

var this_dot = {};
for (var i=0; i < total_dots; i++){ var this_dot = { x: Math.random()*canvas.width, y: Math.random()*canvas.height, width:canvas.width, height: canvas.height, radius:Math.random()*20+10 }; dots.push(this_dot); } draw(); $("#canvas").mousedown(function (event) { var dx, dy, dist; for (var i=0; i < dots.length; i++){ dx = event.pageX - this.offsetLeft - dots[i].x; dy = event.pageY - this.offsetTop - dots[i].y; dist = Math.sqrt(dx * dx + dy * dy); if(dist < radius) { drag = true; drag_i = i clickX = dx; clickY = dy; continue; } } }); $("#canvas").mouseup(function (event) { drag = false; drag_i = -1; }); $("#canvas").mousemove(function (event) { if(drag) { dots[drag_i].x = event.pageX - this.offsetLeft - clickX; dots[drag_i].y = event.pageY - this.offsetTop - clickY; draw(); } }); function update(){ for (var i=0; i < dots.length; i++){ if (drag_i != i){ var this_dot = dots[i]; this_dot.x += Math.random() * 10 - 5; this_dot.y += Math.random() * 10 - 5; } } } function draw() { context.clearRect(0, 0, canvas.width, canvas.height); for (var i=0; i < dots.length; i++){ context.beginPath(); context.arc(dots[i].x, dots[i].y, dots[i].radius, 0, Math.PI * 2, false); context.fill(); context.closePath(); } } setInterval(function() { update(); draw(); }, 100); }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.

Here’s an interesting rendering I found when I was playing with drawing multiple dots. interactive physics animations via javascript & canvas | 07 B.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;
var total_dots = 25;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);
var dots = new Array();
var drag_i = -1;

var this_dot = {};
for (var i=0; i < total_dots; i++){ var this_dot = { x: Math.random()*canvas.width, y: Math.random()*canvas.height, width:canvas.width, height: canvas.height, radius:Math.random()*20+10 }; dots.push(this_dot); } draw(); $("#canvas").mousedown(function (event) { var dx, dy, dist; for (var i=0; i < dots.length; i++){ dx = event.pageX - this.offsetLeft - dots[i].x; dy = event.pageY - this.offsetTop - dots[i].y; dist = Math.sqrt(dx * dx + dy * dy); if(dist < radius) { drag = true; drag_i = i clickX = dx; clickY = dy; continue; } } }); $("#canvas").mouseup(function (event) { drag = false; drag_i = -1; }); $("#canvas").mousemove(function (event) { if(drag) { dots[drag_i].x = event.pageX - this.offsetLeft - clickX; dots[drag_i].y = event.pageY - this.offsetTop - clickY; draw(); } }); function draw() { context.clearRect(0, 0, canvas.width, canvas.height); context.beginPath(); for (var i=0; i < dots.length; i++){ context.arc(dots[i].x, dots[i].y, dots[i].radius, 0, Math.PI * 2, false); } context.fill(); } }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.

This step we’ll add a variable to hold the total number of dots we want to create and use it in our for loop that creates the dots. We’ll also give the dots a little more randomness by varying the size with a radius value. interactive physics animations via javascript & canvas | 07.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;
var total_dots = 25;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);
var dots = new Array();
var drag_i = -1;

var this_dot = {};
for (var i=0; i < total_dots; i++){ var this_dot = { x: Math.random()*canvas.width, y: Math.random()*canvas.height, width:canvas.width, height: canvas.height, radius:Math.random()*20+10 }; dots.push(this_dot); } draw(); $("#canvas").mousedown(function (event) { var dx, dy, dist; for (var i=0; i < dots.length; i++){ dx = event.pageX - this.offsetLeft - dots[i].x; dy = event.pageY - this.offsetTop - dots[i].y; dist = Math.sqrt(dx * dx + dy * dy); if(dist < radius) { drag = true; drag_i = i clickX = dx; clickY = dy; continue; } } }); $("#canvas").mouseup(function (event) { drag = false; drag_i = -1; }); $("#canvas").mousemove(function (event) { if(drag) { dots[drag_i].x = event.pageX - this.offsetLeft - clickX; dots[drag_i].y = event.pageY - this.offsetTop - clickY; draw(); } }); function draw() { context.clearRect(0, 0, canvas.width, canvas.height); for (var i=0; i < dots.length; i++){ context.beginPath(); context.arc(dots[i].x, dots[i].y, dots[i].radius, 0, Math.PI * 2, false); context.fill(); context.closePath(); } } }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.

Now we’ll apply this object oriented programming to each dot and give them all random placement. interactive physics animations via javascript & canvas | 05.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);
var dots = new Array();

var this_dot = {};
for (var i=0; i < 5; i++){ var this_dot = { x: Math.random()*canvas.width, y: Math.random()*canvas.height, width:canvas.width, height: canvas.height, radius:25}; dots.push(this_dot); } draw(); $("#canvas").mousedown(function (event) { var dx, dy, dist; dx = event.pageX - this.offsetLeft - this_dot.x; dy = event.pageY - this.offsetTop - this_dot.y; dist = Math.sqrt(dx * dx + dy * dy); if(dist < radius) { drag = true; clickX = dx; clickY = dy; } else { drag = false; } }); $("#canvas").mouseup(function (event) { drag = false; }); $("#canvas").mousemove(function (event) { if(drag) { this_dot.x = event.pageX - this.offsetLeft - clickX; this_dot.y = event.pageY - this.offsetTop - clickY; draw(); } }); function draw() { context.clearRect(0, 0, canvas.width, canvas.height); for (var i=0; i < dots.length; i++){ context.beginPath(); context.arc(dots[i].x, dots[i].y, dots[i].radius, 0, Math.PI * 2, false); context.fill(); context.closePath(); } } }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.

This time we won’t make the canvas any different visually, it’s more just cleaning up the code. We’re making the circle into a dot object, then later it will be easier to keep track of it (and any others). interactive physics animations via javascript & canvas | 04.

[cc lang=”javascript”]
$(function () {
var canvas, context, width, height, x, y, radius = 25, clickX, clickY, drag = false;

canvas = $(“#canvas”)[0];
context = canvas.getContext(“2d”);

var this_dot = {
x: Math.random()*canvas.width/5,
y: Math.random()*canvas.height/5,
width:canvas.width,
height: canvas.height,
radius:25};

draw();

$(“#canvas”).mousedown(function (event) {
var dx, dy, dist;
dx = event.pageX – this.offsetLeft – this_dot.x;
dy = event.pageY – this.offsetTop – this_dot.y;
dist = Math.sqrt(dx * dx + dy * dy);
if(dist < radius) { drag = true; clickX = dx; clickY = dy; } else { drag = false; } }); $("#canvas").mouseup(function (event) { drag = false; }); $("#canvas").mousemove(function (event) { if(drag) { this_dot.x = event.pageX - this.offsetLeft - clickX; this_dot.y = event.pageY - this.offsetTop - clickY; draw(); } }); function draw() { context.clearRect(0, 0, canvas.width, canvas.height); context.beginPath(); context.arc(this_dot.x, this_dot.y, this_dot.radius, 0, Math.PI * 2, false); context.arc(this_dot.x*2, this_dot.y*2, this_dot.radius, 0, Math.PI * 2, false); context.arc(this_dot.x*3, this_dot.y*3, this_dot.radius, 0, Math.PI * 2, false); context.arc(this_dot.x*4, this_dot.y*4, this_dot.radius, 0, Math.PI * 2, false); context.arc(this_dot.x*5, this_dot.y*5, this_dot.radius, 0, Math.PI * 2, false); context.arc(this_dot.x*6, this_dot.y*6, this_dot.radius, 0, Math.PI * 2, false); context.fill(); } }); [/cc]Follow the whole Interactive Physics Animations via Javascript & Canvas series.