Visualizing a sort algorithm - javascript

I want to visualize a sort-algorithm. To do that, I wrote such programs by using jQuery and Canvas, but it doesn't work.
function Draw() {
context.clearRect(0, 0, 1500, 1000);
context.fillStyle = "green";
for (var k = 0; k < l; k++) {
context.fillRect(1000 * k / l, 0, 1000 / l, resarray[k] * 1000 / l);
}
context.fill();
}
Bubblesort = function() {
var flag = 1;
while (flag) {
flag = 0;
for (var j = 0; j < l - 1; j++) {
if (resarray[j] > resarray[j + 1]) {
var tmp = resarray[j + 1];
resarray[j + 1] = resarray[j];
resarray[j] = tmp;
var dfd = new $.Deferred;
setTimeout(function() {
Draw();
dfd.resolve();
}, 2);
dfd.then(flag++);
}
}
}
}
resarray is the Array I want to sort. Bubblesort() is the function to do bubble sort. Draw() is the function to display the present arrays values.
With each swap I want to smoothly show the change of value in resarray. To applicate to other programs, I don't want to use break. How should I write the code?

Related

Sorting Algorithm Visualizer Trouble [duplicate]

For fun I am trying to create a visualization of different sorting algorithms, but I've run into an issue with Canvas animations.
I assumed I would just be able to call a draw function within the sorter method, but this causes the browser to lock up until the array is fully sorted and then draws some middle frame.
How would I go about animating from within the sorting methods? Below is the code I have so far, I wouldn't run this snippet as it will hang the tab for a few seconds.
N = 250; // Array Size
XYs = 5; // Element Visual Size
Xp = 1; // Start Pos X
Yp = 1; // Start Pos Y
var canvas;
var l = Array.apply(null, {
length: N
}).map(Number.call, Number);
Array.prototype.shuffle = function() {
var i = this.length,
j, temp;
if (i == 0) return this;
while (--i) {
j = Math.floor(Math.random() * (i + 1));
temp = this[i];
this[i] = this[j];
this[j] = temp;
}
return this;
}
function map_range(x, in_min, in_max, out_min, out_max) {
return (x - in_min) * (out_max - out_min) / (in_max - in_min) + out_min;
}
function rainbow(x) {
var m = map_range(x, 0, N, 0, 359);
return 'hsl(' + m + ',100%,50%)';
}
function init() {
canvas = document.getElementById('canvas');
l.shuffle();
draw();
bubbleSort(l);
}
function draw() {
if (canvas.getContext) {
var ctx = canvas.getContext('2d');
for (var i = 0; i < l.length; i++) {
ctx.fillStyle = rainbow(l[i]);
ctx.fillRect((Xp * i) * XYs, Yp * XYs, XYs, XYs);
}
}
}
function bubbleSort(a) {
var swapped;
do {
swapped = false;
for (var i = 0; i < a.length - 1; i++) {
if (a[i] > a[i + 1]) {
var temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
draw();
setTimeout(function() {}, 10);
}
}
} while (swapped);
}
<html>
<body onload="init();">
<canvas id="canvas" width="1500" height="1500"></canvas>
</body>
</html>
One solution is the ES6 Generator function* along with its yield statement.
That allows you to pause a function and restart it later where it has been paused:
N = 100; // Array Size
XYs = 5; // Element Visual Size
Xp = 1; // Start Pos X
Yp = 1; // Start Pos Y
var canvas;
var l = Array.apply(null, {
length: N
}).map(Number.call, Number);
Array.prototype.shuffle = function() {
var i = this.length,
j, temp;
if (i == 0) return this;
while (--i) {
j = Math.floor(Math.random() * (i + 1));
temp = this[i];
this[i] = this[j];
this[j] = temp;
}
return this;
}
function map_range(x, in_min, in_max, out_min, out_max) {
return (x - in_min) * (out_max - out_min) / (in_max - in_min) + out_min;
}
function rainbow(x) {
var m = map_range(x, 0, N, 0, 359);
return 'hsl(' + m + ',100%,50%)';
}
function init() {
canvas = document.getElementById('canvas');
l.shuffle();
var sort = bubbleSort(l);
// an anim function triggered every 60th of a second
function anim(){
requestAnimationFrame(anim);
draw();
sort.next(); // call next iteration of the bubbleSort function
}
anim();
}
function draw() {
if (canvas.getContext) {
var ctx = canvas.getContext('2d');
for (var i = 0; i < l.length; i++) {
ctx.fillStyle = rainbow(l[i]);
ctx.fillRect((Xp * i) * XYs, Yp * XYs, XYs, XYs);
}
}
}
function* bubbleSort(a) { // * is magic
var swapped;
do {
swapped = false;
for (var i = 0; i < a.length - 1; i++) {
if (a[i] > a[i + 1]) {
var temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
yield swapped; // pause here
}
}
} while (swapped);
}
init();
<canvas id="canvas" width="500" height="20">
You can also now use async/await for a more readable code achieving the same goal:
const N = 100; // Array Size
const XYs = 5; // Element Visual Size
const Xp = 1; // Start Pos X
const Yp = 1; // Start Pos Y
let canvas;
const l = Array.from({ length: N }, (_,i) => i);
Array.prototype.shuffle = function() {
let i = this.length;
if (i == 0) return this;
while (--i) {
const j = Math.floor(Math.random() * (i + 1));
const temp = this[i];
this[i] = this[j];
this[j] = temp;
}
return this;
}
function map_range(x, in_min, in_max, out_min, out_max) {
return (x - in_min) * (out_max - out_min) / (in_max - in_min) + out_min;
}
function rainbow(x) {
const m = map_range(x, 0, N, 0, 359);
return 'hsl(' + m + ',100%,50%)';
}
function init() {
canvas = document.getElementById('canvas');
l.shuffle();
bubbleSort(l);
}
function draw() {
if (canvas.getContext) {
const ctx = canvas.getContext('2d');
for (let i = 0; i < l.length; i++) {
ctx.fillStyle = rainbow(l[i]);
ctx.fillRect((Xp * i) * XYs, Yp * XYs, XYs, XYs);
}
}
}
function drawNextFrame() {
return new Promise((res) => requestAnimationFrame(res))
.then(draw);
}
async function bubbleSort(a) { // async is magic
let swapped;
do {
swapped = false;
for (let i = 0; i < a.length - 1; i++) {
if (a[i] > a[i + 1]) {
const temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
await drawNextFrame(); // pause here
}
}
} while (swapped);
}
init();
<canvas id="canvas" width="500" height="20">
You need a render loop. requestAnimationFrame() is your friend here. With this method you give the browser a callback that is called before the next frame draw.
Within that callback you draw your stuff and call requestAnimationFrame() again with your same callback like this:
requestAnimationFrame(renderLoop);
function renderLoop()
{
// visualize your array `l` at this point
// call the render callback for the next frame draw
requestAnimationFrame(renderLoop);
}
https://developer.mozilla.org/de/docs/Web/API/window/requestAnimationFrame
You get a smooth animation with usually a framerate of 60 fps.
For integrating that approach in your code:
Delete the lines
draw();
setTimeout(function() {}, 10);
call the initial
requestAnimationFrame(renderLoop);
when your program start.

Force calculation for magnetic pendulum and numerical integration

I've been working on a simulation of a magnetic pendulum (Magnetic Pendulum for reference). Now, I have a question concerning how you calculate the forces/acceleration:
In examples you find online of the magnetic pendulum (such as the one provided above), and other physics force and acceleration calculations, the forces are calculated at a starting position, the position updated according to time-step dt and then new forces at time t+dt calculated to get a new position and so on. Basic numerical integration, makes sense.
However, I noticed, that if I calculate the forces this way, things don't go as one would expect. For example: when the pendulum is attracted by a magnet it just stops at the particluar magnet even tough you would expect it to "overswing" a bit. Therefore, I introduced three variables for each force which is all previous forces added together, and now it somehow seems to work correctly.
I'm wondering if
the way of calculating the forces I used makes sense in a physics simulation and
if not, then what am I doing wrong? Because it seems to work for other people.
Here's my code:
p5.disableFriendlyErrors = true;
let magnete = [];
let particles = [];
var maganzahl = 3; //number of magnets
var magradius = 100; //radius of magnets from mid-point
var G = 0.002; //coefficient of force towards middle (gravity)
var R = 0.2; //friction coefficient
var h = 50; //height of bob over magnets
var M = 150000; //strength of magnets
var m = 1; //mass (might not work)
var dt = 0.25; //timestep
var d = 2; //pixel density
var counter2 = 0;
var Reset;
var end = false;
//--------------------------------------------
function setup() {
createCanvas(600, 600);
pixelDensity(d);
background(60);
Reset = createButton('Reset');
Reset.position(width + 19, 49);
Reset.mousePressed(resetcanvas);
//construction of magnets
for (var i = 0; i < maganzahl; i++) {
magnete.push(new Magnet((width / 2) + magradius * cos(TWO_PI * (i / maganzahl)), (height / 2) + magradius * sin(TWO_PI * (i / maganzahl)), i));
}
}
//construction of a new "starting position" by mouse-click
function mousePressed() {
if (mouseX < width && mouseY < height) {
particles.push(new Particle(mouseX, mouseY));
}
}
function draw() {
for (var i = 0; i < particles.length; i++) {
if (particles[i].counter < 1000) {
//5 updates per frame(to speed it up)
for (var k = 0; k < 5; k++) {
for (var j = 0; j < magnete.length; j++) {
particles[i].attracted(magnete[j]);
}
particles[i].update();
particles[i].show2();
}
} else if (particles[i].counter < 1001) {
particles[i].counter += 1;
var nearest = [];
for (var j = 0; j < magnete.length; j++) {
nearest.push(particles[i].near(magnete[j]));
}
if (nearest.indexOf(min(nearest)) == 0) {
var c = color("green");
}
if (nearest.indexOf(min(nearest)) == 1) {
var c = color("purple");
}
if (nearest.indexOf(min(nearest)) == 2) {
var c = color("orange");
}
if (nearest.indexOf(min(nearest)) == 3) {
var c = color("blue");
}
if (nearest.indexOf(min(nearest)) == 4) {
var c = color("red");
}
if (nearest.indexOf(min(nearest)) == 5) {
var c = color("yellow");
}
//show particle trace according to nearest magnet
particles[i].show(c);
}
}
//displaying magnets
for (var i = 0; i < magnete.length; i++) {
magnete[i].show();
}
//displaying mid-point
stroke(255);
circle(width / 2, height / 2, 3);
}
function resetcanvas() {
background(60);
}
function Particle(x, y) {
this.orgpos = createVector(x, y);
this.pos = createVector(x, y);
this.prev = createVector(x, y);
this.vel = createVector();
this.acc = createVector();
this.accpre = createVector();
this.accprepre = createVector();
this.velprediction = this.vel;
this.magnetf = createVector();
this.gravity = createVector();
this.friction = createVector();
this.shape = new Array();
this.counter = 0;
//calculating new positions
this.update = function() {
//predictor for velocity -> Beeman's algorithm
this.velprediction.add(this.accpre.mult(3 / 2 * dt).add(this.accprepre.mult(-1 / 2 * dt)));
var momgrav = createVector(width / 2 - this.pos.x, height / 2 - this.pos.y);
var momfric = createVector(this.velprediction.x, this.velprediction.y);
momgrav.mult(G * m); //force due to gravity
momfric.mult(-R); //force due to friction
this.gravity.add(momgrav);
this.friction.add(momfric);
//a = F/m
this.acc = createVector((this.magnetf.x + this.gravity.x + this.friction.x) / m, (this.magnetf.y + this.gravity.y + this.friction.y) / m);
//-=Beeman's Algorithm=-
this.vel.add(this.acc.mult(dt * 1 / 3).add(this.accpre.mult(dt * 5 / 6)).add(this.accprepre.mult(-1 / 6 * dt)));
this.pos.add(this.vel.mult(dt).add(this.accpre.mult(dt * dt * 2 / 3)).add(this.accprepre.mult(-1 / 6 * dt * dt)));
this.accprepre = createVector(this.accpre.x, this.accpre.y);
this.accpre = createVector(this.acc.x, this.acc.y);
this.velprediction = createVector(this.vel.x, this.vel.y);
this.counter += 1;
this.shape.push(new p5.Vector(this.pos.x, this.pos.y));
}
//calculating force due to magnets -> attracted called earlier than update in sketch.js
this.attracted = function(target) {
var magn = createVector(target.pos.x - this.pos.x, target.pos.y - this.pos.y);
var dist = sqrt(sq(h) + sq(magn.x) + sq(magn.y)); //distance bob - magnet
strength = M / (Math.pow(dist, 3));
magn.mult(strength);
this.magnetf.add(magn);
}
//calculating distance to target
this.near = function(target) {
var dist = sqrt(sq(h) + sq(this.pos.x - target.pos.x) + sq(this.pos.y - target.pos.y));
return (dist);
}
//trace
this.show = function(col) {
beginShape();
stroke(col);
for (var i = 0; i < this.shape.length - 1; i++) {
line(this.shape[i].x, this.shape[i].y, this.shape[i + 1].x, this.shape[i + 1].y);
strokeWeight(2);
noFill();
}
endShape();
}
//dots
this.show2 = function() {
strokeWeight(1)
point(this.pos.x, this.pos.y);
}
}
function Magnet(x, y, n) {
this.pos = createVector(x, y);
this.n = n;
this.show = function() {
noStroke();
//color for each magnet
if (n == 0) {
fill("green");
}
if (n == 1) {
fill("purple");
}
if (n == 2) {
fill("orange");
}
if (n == 3) {
fill("blue");
}
if (n == 4) {
fill("red");
}
if (n == 5) {
fill("yellow");
}
strokeWeight(4);
circle(this.pos.x, this.pos.y, 10);
}
}
Any help would be greatly appreciated!
I found the issue! So apparently in p5.js you have to be careful with your vector calculations. If you for example do something like:
[some variable] = [Vector].add([anotherVector].mult(2));
both [Vector] and [anotherVector] change their value. Makes sense now that I think about it...
The fact that it still seemed to work somewhat "realistically" and that I managed to generate some beautiful pictures using it (Such as this one 1 and this one 2) is still quite mysterious to me but I guess sometimes numbers just do their magic ;)
Run it:
Code Preview
If you want to change some variables/edit:
p5.js Web Editor

Codehs and KhanAcademy different use of JavaScript?

At my school I am learning how to code in JS using a site called codehs.com. After a while I learned about graphics with JS. There was this one point where I had to create a circle:
var circle = new Circle(50);
circle.setPosition(100,100);
add(circle);
After a few days I came across another website that was teaching students how code using JS. The website was called khanacademy.org I was interested and saw that the first lesson was making drawings. I looked at the video provided and it had a different code to make a circle.
ellipse(203, 197, 300, 350);
I am confused on how to make a circle using JS since I just started.
I'm one of the founders of CodeHS. CodeHS uses a custom JavaScript library on top of regular JavaScript. Khan Academy uses Processing JS, which is a different library (You can use Processing on CodeHS as well if you like).
You can see the documentation for everything in the CodeHS JS library at https://codehs.com/docs and learn how to use it in the Intro CS in JavaScript course.
We have designed this library to be great for learning -- it gives you experience using Object Oriented Programming while making it simple to create and manipulate shapes for programs like a Helicopter Game.
Additionally, you can include the library on an HTML page that runs JavaScript by adding this script tag to your page.
<script type="text/javascript" src="https://static.codehs.com/gulp/3d065bc81d3b7edf21e928ce2c764374a03c5cd6/chs-js-lib/chs.js"></script>
Here's an example of a full HTML page that runs JavaScript and uses the CodeHS library on it to draw a circle.
<html>
<head>
<title>Circle Example</title>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.4/jquery.min.js"></script>
<script type="text/javascript" src="https://static.codehs.com/gulp/3d065bc81d3b7edf21e928ce2c764374a03c5cd6/chs-js-lib/chs.js"></script>
<style>
canvas {
border: 1px solid black;
display: inline-block;
vertical-align: top;
}
pre {
border: 1px solid black;
display: inline-block;
width: 400px;
height: 500px;
background-color: #F5F5F5;
}
</style>
</head>
<body>
<h1>Circle Example</h1>
<canvas
width="400"
height="500"
class="codehs-editor-canvas"></canvas>
<script>
window.onload = function() {
var circle = new Circle(50);
circle.setPosition(100,100);
add(circle);
};
</script>
</body>
</html>
Looks like KHAN ACADEMY uses ProcessingJS to draw the circle
I was unable to check what is the library CodeHS uses to draw a circle, but has to be a different one. But the fact is that there are so many good libraries developed in javascript to make whatever you can imagine. They're generally different one from another but their goal is to make our life easier.
JavaScript library | Wikipedia
What's a JS library? | KHAN ACADEMY
I tried using the processing platform for CodeHs, just copying and pasting this code:
/**
* This program finds the shortest path through a series of obstacles using A* search,
* smooths the path, then uses PID control to drive a robot to the goal.
**/
// You can play around with these constants---
var NUM_BLOCKS = 20;
var OBSTACLE_PROBABILITY = 0.2;
var MOVE_NOISE = 0.1;
var STEERING_NOISE = 0.1;
var ROBOT_SPEED = 0.5;
var MAX_STEERING_ANGLE = Math.PI/4.0;
var tP = 2.0;
var tI = 0.0001;
var tD = 16.0;
var weightData = 0.1;
var weightSmooth = 0.1;
// Search types
var A_STAR = 0;
var GREEDY = 1;
var BREADTH_FIRST = 2;
var DEPTH_FIRST = 3;
var SEARCH_MODE = A_STAR;
// --------------------------------------------
var BLOCK_SIZE = width/NUM_BLOCKS;
var START = 2;
var GOAL_X = NUM_BLOCKS-1;
var GOAL_Y = NUM_BLOCKS-1;
var GOAL = 3;
var START_COLOR = color(23, 33, 176);
var GOAL_COLOR = color(199, 188, 68);
var FRONTIER_COLOR = color(105, 179, 105);
var EXPLORED_COLOR = color(117, 117, 117, 100);
var PATH_COLOR = color(166, 53, 53);
var SMOOTH_PATH_COLOR = color(53, 68, 166);
var PLAN = 0;
var SMOOTH = 1;
var CALIBRATE = 2;
var NAVIGATE = 3;
var DELTA = [[-1, 0], [1, 0], [0, -1], [0, 1]];
var frontier = [[0, 0, 0, 0]];
var explored = [];
var predecessors = [];
var path = [];
var smoothPath = [];
var mode = PLAN;
var index = 0;
var cte = 0;
var sigma = 0;
angleMode = "radians";
frameRate(60);
// Initialize world
var world = [];
for (var i = 0; i < NUM_BLOCKS; i++) {
var row = [];
for (var j = 0; j < NUM_BLOCKS; j++) {
var r = random();
if (r < OBSTACLE_PROBABILITY) {
row.push(1);
}
else {
row.push(0);
}
}
world.push(row);
}
world[0][0] = START;
world[GOAL_Y][GOAL_X] = GOAL;
for (var i = 0; i < NUM_BLOCKS; i++) {
var row = [];
for (var j = 0; j < NUM_BLOCKS; j++) {
row.push(false);
}
explored.push(row);
}
explored[0][0] = true;
for (var i = 0; i < NUM_BLOCKS; i++) {
var row = [];
for (var j = 0; j < NUM_BLOCKS; j++) {
row.push(null);
}
predecessors.push(row);
}
var Robot = function(x, y, size) {
this.x = x;
this.y = y;
this.vx = 0;
this.vy = 0;
this.orientation = 0;
this.size = size;
// Thanks to Sebastian Thrun for this code:
// https://www.udacity.com/course/viewer#!/c-cs373/l-48696626/e-48403941/m-48729137
// My code for this movement can be found at:
// https://www.khanacademy.org/computer-programming/bicycle-model/5496951953031168
this.move = function(d, theta) {
var generator = new Random(millis());
var moveDistance = (generator.nextGaussian() * MOVE_NOISE) + d;
var turnAngle = (generator.nextGaussian() * STEERING_NOISE) + theta;
turnAngle = min(turnAngle, MAX_STEERING_ANGLE);
turnAngle = max(turnAngle, -MAX_STEERING_ANGLE);
var turn = tan(turnAngle)*moveDistance/this.size;
// Approximately straight motion
if (abs(turn) < 0.001) {
this.x += moveDistance*cos(this.orientation);
this.y += moveDistance*sin(this.orientation);
this.orientation = (this.orientation+turn)%(2.0*Math.PI);
}
// Move using the bicyle model
else {
var radius = moveDistance/turn;
var cx = this.x-(sin(this.orientation)*radius);
var cy = this.y+(cos(this.orientation)*radius);
this.orientation = (this.orientation+turn)%(2.0*Math.PI);
this.x = cx + (sin(this.orientation)*radius);
this.y = cy - (cos(this.orientation)*radius);
}
};
this.draw = function() {
pushMatrix();
translate(this.x, this.y);
rotate(this.orientation);
fill(128, 27, 27);
stroke(255, 0, 0);
rect(-this.size/2, -(this.size*0.75*0.5), this.size, this.size*0.75);
popMatrix();
};
};
var robot;
var addToFrontier = function(node) {
// Insert the node into the frontier
// Order by lowest cost
var i = frontier.length-1;
if (SEARCH_MODE === A_STAR) {
while (i > 0 && node[2]+node[3] < frontier[i][2]+frontier[i][3]) {
i--;
}
}
else if (SEARCH_MODE === GREEDY) {
while (i > 0 && node[3] < frontier[i][3]) {
i--;
}
}
else if (SEARCH_MODE === BREADTH_FIRST) {
frontier.push(node);
}
else if (SEARCH_MODE === DEPTH_FIRST) {
frontier.splice(0, 0, node);
}
frontier.splice(i+1, 0, node);
};
var distance = function(x1, y1, x2, y2) {
return sqrt(pow(x1-x2, 2) + pow(y1-y2, 2));
};
var manhattanDistance = function(x1, y1, x2, y2) {
return abs(x1-x2) + abs(y1-y2);
};
var drawWorld = function() {
background(255, 255, 255);
for (var i = 0; i < world.length; i++) {
for (var j = 0; j < world[0].length; j++) {
if (world[i][j] === 1) {
stroke(0, 0, 0);
fill(0, 0, 0);
}
else if (world[i][j] === START) {
fill(START_COLOR);
stroke(START_COLOR);
}
else if (world[i][j] === GOAL) {
fill(GOAL_COLOR);
stroke(GOAL_COLOR);
}
else {
fill(255, 255, 255);
noStroke();
}
rect(j*BLOCK_SIZE, i*BLOCK_SIZE, BLOCK_SIZE, BLOCK_SIZE);
}
}
};
var simulate = function(steps) {
var error = 0;
var crosstrackError = 0;
var r = new Robot(0, 1, BLOCK_SIZE/2);
var sigma = 0;
var diff = 0;
for (var i = 0; i < steps*2; i++) {
// Compute cte
diff = r.y-crosstrackError;
crosstrackError = r.y;
sigma += crosstrackError;
if (i > steps) {
error += pow(crosstrackError, 2);
}
// Update robot
r.move(ROBOT_SPEED, -tP*crosstrackError - tD*diff - tI*sigma);
}
return error;
};
draw = function() {
drawWorld();
// Use A* to find a path to the goal
if (mode === PLAN) {
// Draw explored
fill(EXPLORED_COLOR);
noStroke();
for (var i = 0; i < explored.length; i++) {
for (var j = 0; j < explored[0].length; j++) {
if (explored[i][j]) {
rect(j*BLOCK_SIZE, i*BLOCK_SIZE, BLOCK_SIZE, BLOCK_SIZE);
}
}
}
// Draw frontier
fill(FRONTIER_COLOR);
noStroke();
for (var i = 0; i < frontier.length; i++) {
rect(frontier[i][0]*BLOCK_SIZE, frontier[i][1]*BLOCK_SIZE, BLOCK_SIZE, BLOCK_SIZE);
}
// A*
if (frontier.length > 0) {
// Remove a node from the frontier
var x = frontier[0][0];
var y = frontier[0][1];
var cost = frontier[0][2];
//println(cost + ", " + frontier[0][3]);
frontier.splice(0, 1);
// Goal check
if (world[y][x] === GOAL) {
mode = SMOOTH;
}
else {
// Add all adjacent unexplored nodes
for (var i = 0; i < DELTA.length; i++) {
// If the new position is in the world
var x2 = x + DELTA[i][0];
var y2 = y + DELTA[i][1];
if (x2 >= 0 && x2 < world[0].length && y2 >= 0 && y2 < world.length) {
// If the position is unexplored
if (!explored[y2][x2] && world[y2][x2] !== 1) {
explored[y2][x2] = true;
predecessors[y2][x2] = [x, y];
addToFrontier([x2, y2, cost+1, dist(x2, y2, GOAL_X, GOAL_Y)]);
}
}
}
}
}
else {
mode = -1;
println("No possible path to goal.");
}
}
// Smooth the path
else if (mode === SMOOTH) {
// Build path
if (path.length === 0) {
var x = GOAL_X;
var y = GOAL_Y;
path.splice(0, 0, [x, y]);
smoothPath.splice(0, 0, [x, y]);
while (x !== 0 || y !== 0) {
var newX = predecessors[y][x][0];
var newY = predecessors[y][x][1];
x = newX;
y = newY;
path.splice(0, 0, [x, y]);
smoothPath.splice(0, 0, [x, y]);
}
}
// Draw the original path
stroke(PATH_COLOR);
strokeWeight(5);
for (var i = 0; i < path.length; i++) {
point(BLOCK_SIZE*path[i][0]+BLOCK_SIZE/2, BLOCK_SIZE*path[i][1]+BLOCK_SIZE/2);
}
strokeWeight(1);
for (var i = 0; i < path.length-1; i++) {
line(BLOCK_SIZE*path[i][0]+BLOCK_SIZE/2, BLOCK_SIZE*path[i][1]+BLOCK_SIZE/2, BLOCK_SIZE*path[i+1][0]+BLOCK_SIZE/2, BLOCK_SIZE*path[i+1][1]+BLOCK_SIZE/2);
}
// Draw the new path
stroke(SMOOTH_PATH_COLOR);
strokeWeight(5);
for (var i = 0; i < smoothPath.length; i++) {
point(BLOCK_SIZE*smoothPath[i][0]+BLOCK_SIZE/2, BLOCK_SIZE*smoothPath[i][1]+BLOCK_SIZE/2);
}
strokeWeight(1);
for (var i = 0; i < smoothPath.length-1; i++) {
line(BLOCK_SIZE*smoothPath[i][0]+BLOCK_SIZE/2, BLOCK_SIZE*smoothPath[i][1]+BLOCK_SIZE/2, BLOCK_SIZE*smoothPath[i+1][0]+BLOCK_SIZE/2,
BLOCK_SIZE*smoothPath[i+1][1]+BLOCK_SIZE/2);
}
// Perform gradient descent
var update;
var diff = 0;
for (var i = 1; i < smoothPath.length-1; i++) {
update = [0, 0];
for (var j = 0; j < smoothPath[0].length; j++) {
update[j] += weightData * (path[i][j] - smoothPath[i][j]);
update[j] += weightSmooth * (smoothPath[(i+1)%smoothPath.length][j] + smoothPath[(i-1+smoothPath.length)%smoothPath.length][j] - 2*smoothPath[i][j]);
}
// Simulataneous update
for (var j = 0; j < smoothPath[0].length; j++) {
smoothPath[i][j] += update[j];
diff += abs(update[j]);
}
}
if (diff < 0.000001) {
robot = new Robot(BLOCK_SIZE/2, BLOCK_SIZE/2, BLOCK_SIZE/2);
mode = NAVIGATE;
}
}
else if (mode === CALIBRATE) {
var steps = 100;
var error = simulate(steps);
var dp = [1.0, 1.0, 1.0];
var params = [0, 0, 0];
if (error/steps > 0.04) {
for (var i = 0; i < dp.length; i++) {
params[i] += dp[i];
var newError = simulate(steps);
if (newError < error) {
error = newError;
dp[i] *= 1.1;
}
else {
params[i] -= 2*dp[i];
newError = simulate(steps);
if (newError < error) {
error = newError;
dp[i] *= -1.1;
}
else {
params[i] += dp[i];
dp[i] *= 0.9;
}
}
}
tP = params[0];
tD = params[1];
tI = params[2];
println(error/steps);
}
else {
println(params);
tP = params[0];
tD = params[1];
tI = params[2];
mode = NAVIGATE;
}
}
// Use PID control to follow the path
else if (mode === NAVIGATE) {
// Draw path
stroke(SMOOTH_PATH_COLOR);
strokeWeight(5);
for (var i = 0; i < smoothPath.length; i++) {
point(BLOCK_SIZE*smoothPath[i][0]+BLOCK_SIZE/2, BLOCK_SIZE*smoothPath[i][1]+BLOCK_SIZE/2);
}
strokeWeight(1);
for (var i = 0; i < smoothPath.length-1; i++) {
line(BLOCK_SIZE*smoothPath[i][0]+BLOCK_SIZE/2, BLOCK_SIZE*smoothPath[i][1]+BLOCK_SIZE/2, BLOCK_SIZE*smoothPath[i+1][0]+BLOCK_SIZE/2,
BLOCK_SIZE*smoothPath[i+1][1]+BLOCK_SIZE/2);
}
// Draw robot
robot.draw();
// Compute cte
var diff = -cte;
var x1 = smoothPath[index][0]*BLOCK_SIZE+BLOCK_SIZE/2;
var y1 = smoothPath[index][1]*BLOCK_SIZE+BLOCK_SIZE/2;
var x2 = smoothPath[index+1][0]*BLOCK_SIZE+BLOCK_SIZE/2;
var y2 = smoothPath[index+1][1]*BLOCK_SIZE+BLOCK_SIZE/2;
var dx = x2-x1;
var dy = y2-y1;
var d = sqrt(pow(dx, 2) + pow(dy, 2));
var u = ((robot.x-x1)*dx + (robot.y-y1)*dy)/(pow(dx, 2) + pow(dy, 2));
var Px = x1 + d*u*cos(atan2(dy, dx));
var Py = y1 + d*u*sin(atan2(dy, dx));
cte = ((robot.y-y1)*dx-(robot.x-x1)*dy)/(pow(dx, 2) + pow(dy, 2));
sigma += cte;
diff += cte;
if (u > 1) {
index++;
index = min(index, smoothPath.length-2);
}
// Update robot
robot.move(ROBOT_SPEED, -tP*cte - tD*diff - tI*sigma);
//println(index);
}
};
but all that happens is that a grey screen shows up

Sliding puzzle (javascript & HTML5) - need to animate moving elements

I've got a sliding puzzle where an image is split into a grid and you can move squares into an empty space. I'd like for this to animate, so to actually slide into the empty space, not just appear there. Here's the codepen I'm working from: http://codepen.io/akshivictor/pen/jPPypW and the javascript below.
var context = document.getElementById('puzzle').getContext('2d');
var img = new Image();
img.src = 'http://i.imgur.com/H1la3ZG.png?1';
img.addEventListener('load', drawTiles, false);
var boardSize = document.getElementById('puzzle').width;
var tileCount =3;
var tileSize = boardSize / tileCount;
var clickLoc = new Object;
clickLoc.x = 0;
clickLoc.y = 0;
var emptyLoc = new Object;
emptyLoc.x = 0;
emptyLoc.y = 0;
var solved = false;
var boardParts;
setBoard();
document.getElementById('scale').onchange = function() {
tileCount = this.value;
tileSize = boardSize / tileCount;
setBoard();
drawTiles();
};
document.getElementById('puzzle').onclick = function(e) {
clickLoc.x = Math.floor((e.pageX - this.offsetLeft) / tileSize);
clickLoc.y = Math.floor((e.pageY - this.offsetTop) / tileSize);
if (distance(clickLoc.x, clickLoc.y, emptyLoc.x, emptyLoc.y) == 1) {
slideTile(emptyLoc, clickLoc);
drawTiles();
}
};
function setBoard() {
boardParts = new Array(tileCount);
for (var i = 0; i < tileCount; ++i) {
boardParts[i] = new Array(tileCount);
for (var j = 0; j < tileCount; ++j) {
boardParts[i][j] = new Object;
boardParts[i][j].x = (tileCount - 1) - i;
boardParts[i][j].y = (tileCount - 1) - j;
}
}
emptyLoc.x = boardParts[tileCount - 1][tileCount - 1].x;
emptyLoc.y = boardParts[tileCount - 1][tileCount - 1].y;
solved = false;
}
function drawTiles() {
context.clearRect(0, 0, boardSize, boardSize);
for (var i = 0; i < tileCount; ++i) {
for (var j = 0; j < tileCount; ++j) {
var x = boardParts[i][j].x;
var y = boardParts[i][j].y;
if (i != emptyLoc.x || j != emptyLoc.y || solved == true) {
context.drawImage(img, x * tileSize, y * tileSize, tileSize, tileSize,
i * tileSize, j * tileSize, tileSize, tileSize);
}
}
}
}
function distance(x1, y1, x2, y2) {
return Math.abs(x1 - x2) + Math.abs(y1 - y2);
}
function slideTile(toLoc, fromLoc) {
if (!solved) {
boardParts[toLoc.x][toLoc.y].x = boardParts[fromLoc.x][fromLoc.y].x;
boardParts[toLoc.x][toLoc.y].y = boardParts[fromLoc.x][fromLoc.y].y;
boardParts[fromLoc.x][fromLoc.y].x = tileCount - 1;
boardParts[fromLoc.x][fromLoc.y].y = tileCount - 1;
toLoc.x = fromLoc.x;
toLoc.y = fromLoc.y;
checkSolved();
}
}
function checkSolved() {
var flag = true;
for (var i = 0; i < tileCount; ++i) {
for (var j = 0; j < tileCount; ++j) {
if (boardParts[i][j].x != i || boardParts[i][j].y != j) {
flag = false;
}
}
}
solved = flag;
}
I've made adaptations from the sliding puzzle in this article http://www.sitepoint.com/image-manipulation-with-html5-canvas-a-sliding-puzzle-2/
The general way to do translational animation is :
animate(object):
while(object.not_in_place())
object.move(small_amount)
sleep(some_time)
draw(object)
repeat
Hence, move your images a small amount (few pixels) in the right direction and repeat that movement fast enough (though with sleeps in between) to get a sliding animation.
In case you need ease-in or ease-out animations, your translation amount will change with the duration.
For repeated calls after a fixed interval, use setTimeout in JavaScript.
More Details
Lets say you are moving from (a, b) to (c, b) (which are coordinates in 2 dimensional Cartesian plane), then the distance moved in x-direction is (c - b) and y-direction is 0.
So, divide the distance (c - b) in equal amounts to say x.
Let the total duration of the animation be T, then divide that into same number of intervals say t.
Hence, your algorithms becomes:
while(object.x != c)
object.x += x
sleep(t)
object.draw()
repeat
Similarly, you can do for the y-direction case. Note that in your game you dont need to move in any arbitrary direction, only either horizontally or vertically which simplifies the implementation.
While, JavaScript has no equivalent sleep() routine, you can use setTimeout like this :
function x() {
id = setTimeout(x, 1000); // x will be called every 1 seconds ( = 1000 ms)
}
clearTimeout(id); // this removes the timeout and stops the repeated function calls

Javascript error while dropping balls

I wrote a javascript code to drop in ball multiple times when clicked on canvas. It is an experiment.
Here is the code:
HTML
<br style="clear: both" />
<canvas id="myCanvas1" width="134px" height="331px" onclick="draw(0)"></canvas>
<canvas id="myCanvas2" width="134px" height="331px" onclick="draw(1)"></canvas>
<canvas id="myCanvas3" width="134px" height="331px" onclick="draw(2)"></canvas>
JAVASCRIPT
var balls = [[], [], []],
canvases = document.getElementsByTagName('canvas'),
context = [],
interval,
boxWidth = 150,
ballRadius = 10,
canvasHeight = 235;
for (var i = 0; i < canvases.length; i++) {
context.push(canvases[i].getContext('2d'));
}
function draw() {
var movement = false;
for (var i = 0; i < 3; i++) {
context[i].clearRect(0, 0, boxWidth, canvasHeight);
for (var j = 0; j < balls[i].length; j++) {
if (balls[i][j].y < balls[i][j].yStop) {
balls[i][j].y += 4;
movement = true;
}
context[i].beginPath();
context[i].fillStyle = "red";
context[i].arc(balls[i][j].x, balls[i][j].y, ballRadius, 0, Math.PI * 2, true);
context[i].closePath();
context[i].fill();
}
}
if (!movement) {
clearInterval(interval);
interval = null;
}
}
function newBall(n) {
console.log('new ball', n);
var last = balls[n][balls[n].length - 1],
ball = {x: ballRadius, y: ballRadius, yStop: canvasHeight - ballRadius};
if (last) {
if (last.x < boxWidth - ballRadius * 3) {
ball.x = last.x + ballRadius * 2;
ball.yStop = last.yStop;
} else {
ball.yStop = last.yStop - ballRadius * 2;
}
}
balls[n].push(ball);
if (!interval) {
interval = setInterval(draw, 10);
}
}
But balls aren't dropping in. Please tell me that where am I wrong so that I can fix it...
balls is [] when the loop starts. So balls[0] is undefined, and thus has no property length.
Your code is always looping from 0 to 3. However, at first, there is no ball around. When you try to reach balls[0], balls[1] and balls[2], you get undefined error.
What you have to do is to change the loop to:
for (var i = 0; i < balls.length; i++)
or if you do not want to change the loop, you can initialize 3 balls at the start:
balls = [ball1, ball2, ball3];
where ball1, ball2 and ball3 are defined as how your ball data type is.
EDIT:
As I understand, you have some number of contexts, and for each context, you want to have a list of balls so that you can draw them.
Then:
balls = []
for (var i = 0; i < canvases.length; i++) {
context.push(canvases[i].getContext('2d'));
balls.push([]);
}
and use the remaining code same.

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