Clear canvas context gradually (mouse trail?) - javascript

If you see run the code snippet that i have, you'll this html canvas drawing thing that is segmented to color the arcs in a gradient.
I'm trying to figure out how to gradually clear the context of old 'arcs' from the tail end of the drawing similar to a 'mouse trail' effect, perhaps similar to this: https://imgur.com/a/2Lr9IYq
I'm thinking, perhaps that somehow, once the total counter goes above the segment count, it clears itself but im not quite sure how to do that.
Grateful if anyone can point me in the right direction!
var c = document.querySelector("canvas"),
ctx = c.getContext("2d"),
colors = [
{r: 0, g: 0, b: 0, a:1},
{r: 255, g: 255, b: 255, a:1},
],
cIndex = 0, maxColors = colors.length,
total = 0, segment = 1000,
isDown = false, px, py;
setSize();
c.onmousedown = c.ontouchstart = function(e) {
isDown = true;
var pos = getPos(e);
px = pos.x;
py = pos.y;
};
c.onmousemove = c.ontouchmove = function(e) {if (isDown) plot(e)};
c.onmouseup = c.ontouchend = function(e) {
e.preventDefault();
isDown = false
};
function getPos(e) {
// e.preventDefault();
if (e.touches) e = e.touches[0];
var r = c.getBoundingClientRect();
return {
x: e.clientX - r.left,
y: e.clientY - r.top
}
}
function plot(e) {
var pos = getPos(e);
plotLine(ctx, px, py, pos.x, pos.y);
px = pos.x;
py = pos.y;
}
function plotLine(ctx, x1, y1, x2, y2) {
var diffX = Math.abs(x2 - x1),
diffY = Math.abs(y2 - y1),
dist = Math.sqrt(diffX * diffX + diffY * diffY),
step = dist / 50,
i = 0,
t, b, x, y;
while (i < dist) {
t = Math.min(1, i / dist);
x = x1 + (x2 - x1) * t;
y = y1 + (y2 - y1) * t;
// ctx.shadowBlur = 500;
// ctx.shadowOffsetX = 0;
// ctx.shadowOffsetY = 0;
// ctx.shadowColor = getColor();
// console.log(getColor())
ctx.fillStyle = getColor();
ctx.beginPath();
ctx.arc(x, y, 25, 0, Math.PI*2);
ctx.fill();
i += step;
}
function getColor() {
var r, g, b, a, t, c1, c2;
c1 = colors[cIndex];
c2 = colors[(cIndex + 1) % maxColors];
t = Math.min(1, total / segment);
if (++total > segment) {
total = 0;
if (++cIndex >= maxColors) cIndex = 0;
}
r = c1.r + (c2.r - c1.r) * t;
g = c1.g + (c2.g - c1.g) * t;
b = c1.b + (c2.b - c1.b) * t;
a = c1.a + (c2.a - c1.a) * t;
return "rgb(" + (r|0) + "," + (g|0) + "," + (b|0) + "," + (a) + ")";
}
}
window.onresize = setSize;
function setSize() {
c.width = window.innerWidth;
c.height = window.innerHeight;
}
html, body {
margin:0;
padding:0;
}
body {
padding: 0px;
}
<canvas id="myCanvas" ></canvas>

Related

How to draw polygon when last point clicked?

I want to complete polygon when starting point of polygon clicked, i think i need to hide or set opacity of last line which is linking to first point of line.
goal is to achieve exactly what is happening in this GIF.
also i want to show angles and length on each line while drawing just like exactly same as GIF.
var bw = window.innerWidth -20;
var bh = window.innerHeight -20;
var p = 10;
var cw = bw + (p*2) + 1;
var ch = bh + (p*2) + 1;
var canvas = document.getElementById("canvas");
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
var context = canvas.getContext("2d");
function drawBoard(){
for (var x = 0; x <= bw; x += 30) {
context.moveTo(0.5 + x + p, p);
context.lineTo(0.5 + x + p, bh + p);
}
for (var x = 0; x <= bh; x += 30) {
context.moveTo(p, 0.5 + x + p);
context.lineTo(bw + p, 0.5 + x + p);
}
context.lineWidth = 0.5;
context.strokeStyle = 'rgba(0, 122, 204,0.7)';
context.stroke();
}
drawBoard();
//---------------------------------------------
requestAnimationFrame(update)
mouse = {x : 0, y : 0, button : 0, lx : 0, ly : 0, update : true};
function mouseEvents(e){
const bounds = canvas.getBoundingClientRect();
mouse.x = e.pageX - bounds.left - scrollX;
mouse.y = e.pageY - bounds.top - scrollY;
mouse.button = e.type === "mousedown" ? true : e.type === "mouseup" ? false : mouse.button;
mouse.update = true;
}
["mousedown","mouseup","mousemove"].forEach(name => document.addEventListener(name,mouseEvents));
context.lineWidth = 2;
context.strokeStyle = "red";
const point = (x,y) => ({x,y});
const poly = () => ({
points : [],
addPoint(p){ this.points.push(point(p.x,p.y)) },
draw() {
context.lineWidth = 2;
context.strokeStyle = "red";
context.fillStyle = 'rgba(255, 0, 0, 0.3)';
context.beginPath();
for (const p of this.points) { context.lineTo(p.x,p.y) }
context.closePath();
context.stroke();
context.fill();
context.fillStyle = 'rgba(0, 0, 0, 0.3)';
context.strokeStyle = 'rgba(0, 0, 0, 0.8)';
for (const p of this.points) {
context.beginPath();
context.moveTo(p.x + 10,p.y);
context.arc(p.x,p.y,10,0,Math.PI *2);
context.fill();
context.stroke();
}
},
closest(pos, dist = 8) {
var i = 0, index = -1;
dist *= dist;
for (const p of this.points) {
var x = pos.x - p.x;
var y = pos.y - p.y;
var d2 = x * x + y * y;
if (d2 < dist) {
dist = d2;
index = i;
}
i++;
}
if (index > -1) { return this.points[index] }
}
});
function drawCircle(pos,color="black",size=8){
context.strokeStyle = color;
context.beginPath();
context.arc(pos.x,pos.y,size,0,Math.PI *2);
context.stroke();
}
const polygon = poly();
var activePoint,cursor;
var dragging= false;
function update(){
if (mouse.update) {
cursor = "crosshair";
context.clearRect(0,0,canvas.width,canvas.height);
drawBoard();
if (!dragging) { activePoint = polygon.closest(mouse) }
if (activePoint === undefined && mouse.button) {
polygon.addPoint(mouse);
mouse.button = false;
} else if(activePoint) {
if (mouse.button) {
if(dragging) {
activePoint.x += mouse.x - mouse.lx;
activePoint.y += mouse.y - mouse.ly;
} else { dragging = true }
} else { dragging = false }
}
polygon.draw();
if (activePoint) {
drawCircle(activePoint);
cursor = "move";
}
mouse.lx = mouse.x;
mouse.ly = mouse.y;
canvas.style.cursor = cursor;
mouse.update = false;
}
requestAnimationFrame(update)
}
<html>
<body style=" background: lightblue;">
<canvas id="canvas" style="background: #fff; magrin:20px;"></canvas>
</body>
</html>
Drawing part of code i copied from: https://stackoverflow.com/a/53437943/3877726
You can use ctx.setTransform to to align text to a line.
First normalize the vector between the end points and use that normalized vector to build the transform. See example.
To prevent text from reading back to front you need to check the x component of the normalized vector. If it is < 0 then reverse the vector.
Almost the same for the angle. See example.
Example
Snippets contain the functions drawLineText and drawAngleText (near top) that implement the additional features.
var bw = innerWidth - 20, bh = innerHeight - 20;
var cw = bw + (p * 2) + 1, ch = bh + (p * 2) + 1;
var p = 10;
var activePoint, cursor, dragging = false;
const mouse = {x: 0, y: 0, button: 0, lx: 0, ly: 0, update: true};
const TEXT_OFFSET = 5;
const TEXT_COLOR = "#000";
const TEXT_SIZE = 16;
const FONT = "arial";
const TEXT_ANGLE_OFFSET = 25;
const DEG = "°";
canvas.width = bw;
canvas.height = bh;
var ctx = canvas.getContext("2d");
function drawLineText(p1, p2, text, textOffset = TEXT_OFFSET, textColor = TEXT_COLOR, textSize = TEXT_SIZE, font = FONT) {
var x = p1.x, y = p1.y;
var nx = p2.x - x, ny = p2.y - y, len = (nx * nx + ny * ny) ** 0.5;
nx /= len;
ny /= len;
ctx.font = textSize + "px " + font;
ctx.textAlign = "center";
ctx.fillStyle = textColor;
if (nx < 0) {
ctx.textBaseline = "top";
x = p2.x;
y = p2.y;
nx = -nx;
ny = -ny;
textOffset = -textOffset;
} else { ctx.textBaseline = "bottom" }
len /= 2;
ctx.setTransform(nx, ny, -ny, nx, x, y);
ctx.fillText(text, len, -textOffset);
}
// angle between p2-p1 and p2-p3
function drawAngleText(p1, p2, p3, textAngleOffset = TEXT_ANGLE_OFFSET, textColor = TEXT_COLOR, textSize = TEXT_SIZE, font = FONT) {
var ang;
var x = p2.x, y = p2.y;
var nx1 = p1.x - x, ny1 = p1.y - y, len1 = (nx1 * nx1 + ny1 * ny1) ** 0.5;
var nx2 = p3.x - x, ny2 = p3.y - y, len2 = (nx2 * nx2 + ny2 * ny2) ** 0.5;
nx1 /= len1;
ny1 /= len1;
nx2 /= len2;
ny2 /= len2;
const cross = nx1 * ny2 - ny1 * nx2;
const dot = nx1 * nx2 + ny1 * ny2;
if (dot < 0) {
ang = cross < 0 ? -Math.PI - Math.asin(cross) : Math.PI - Math.asin(cross);
} else {
ang = Math.asin(cross);
}
const angDeg = Math.abs(ang * (180 / Math.PI)).toFixed(0) + DEG;
ctx.font = textSize + "px " + font;
ctx.fillStyle = textColor;
ctx.textBaseline = "middle";
const centerAngle = Math.atan2(ny1, nx1) + ang / 2;
const nx = Math.cos(centerAngle);
const ny = Math.sin(centerAngle);
if (nx < 0) {
ctx.textAlign = "right";
ctx.setTransform(-nx, -ny, ny, -nx, x, y);
textAngleOffset = -textAngleOffset;
} else {
ctx.textAlign = "left";
ctx.setTransform(nx, ny, -ny, nx, x, y);
}
ctx.fillText(angDeg, textAngleOffset, 0);
}
//---------------------------------------------
requestAnimationFrame(update)
function mouseEvents(e) {
const bounds = canvas.getBoundingClientRect();
mouse.x = e.pageX - bounds.left - scrollX;
mouse.y = e.pageY - bounds.top - scrollY;
mouse.button = e.type === "mousedown" ? true : e.type === "mouseup" ? false : mouse.button;
mouse.update = true;
}
["mousedown", "mouseup", "mousemove"].forEach(name => document.addEventListener(name, mouseEvents));
ctx.lineWidth = 2;
ctx.strokeStyle = "red";
const point = (x, y) => ({x, y});
const poly = () => ({
points: [],
closed: false,
addPoint(p) { this.points.push(point(p.x, p.y)) },
draw() {
ctx.lineWidth = 2;
ctx.strokeStyle = "red";
ctx.fillStyle = 'rgba(255, 0, 0, 0.3)';
ctx.beginPath();
for (const p of this.points) { ctx.lineTo(p.x, p.y) }
this.closed && ctx.closePath();
ctx.stroke();
this.closed && ctx.fill();
ctx.fillStyle = 'rgba(0, 0, 0, 0.3)';
ctx.strokeStyle = 'rgba(0, 0, 0, 0.8)';
for (const p of this.points) {
ctx.beginPath();
ctx.moveTo(p.x + 10, p.y);
ctx.arc(p.x, p.y, 10, 0, Math.PI * 2);
ctx.fill();
ctx.stroke();
}
this.points.length > 1 && this.drawLengthText();
this.points.length > 2 && this.drawAngleText();
},
drawLengthText() {
const len = this.points.length;
var p1, i = 0;
p1 = this.points[i];
while (i < len -(this.closed ? 0 : 1)) {
const p2 = this.points[((i++) + 1) % len];
const lineLength = ((p1.x - p2.x) ** 2 + (p1.y - p2.y) ** 2) ** 0.5
drawLineText(p1, p2, lineLength.toFixed(0) + "px");
if (len < 3) { break }
p1 = p2;
}
ctx.setTransform(1, 0, 0, 1, 0, 0);
},
drawAngleText() {
const len = this.points.length;
var p1, p2, i = this.closed ? 0 : 1;
p1 = this.points[(i + len - 1) % len];
p2 = this.points[i];
while (i < len -(this.closed ? 0 : 1)) {
const p3 = this.points[((i++) + 1) % len];
drawAngleText(p1, p2, p3);
p1 = p2;
p2 = p3;
}
ctx.setTransform(1, 0, 0, 1, 0, 0);
},
closest(pos, dist = 8) {
var i = 0,
index = -1;
dist *= dist;
for (const p of this.points) {
var x = pos.x - p.x;
var y = pos.y - p.y;
var d2 = x * x + y * y;
if (d2 < dist) {
dist = d2;
index = i;
}
i++;
}
if (index > -1) { return this.points[index] }
}
});
const polygon = poly();
function drawCircle(pos, color = "black", size = 8) {
ctx.strokeStyle = color;
ctx.beginPath();
ctx.arc(pos.x, pos.y, size, 0, Math.PI * 2);
ctx.stroke();
}
function update() {
if (mouse.update) {
cursor = "crosshair";
ctx.clearRect(0, 0, canvas.width, canvas.height);
if (!dragging) { activePoint = polygon.closest(mouse) }
if (activePoint === undefined && mouse.button) {
polygon.addPoint(mouse);
mouse.button = false;
} else if (activePoint) {
if (mouse.button) {
if (dragging) {
activePoint.x += mouse.x - mouse.lx;
activePoint.y += mouse.y - mouse.ly;
} else {
if (!polygon.closed && polygon.points.length > 2 && activePoint === polygon.points[0]) {
polygon.closed = true;
}
dragging = true
}
} else { dragging = false }
}
polygon.draw();
if (activePoint) {
drawCircle(activePoint);
cursor = "move";
}
mouse.lx = mouse.x;
mouse.ly = mouse.y;
canvas.style.cursor = cursor;
mouse.update = false;
}
requestAnimationFrame(update)
}
Click to add points
<canvas id="canvas" style="background: #fff; magrin:20px;"></canvas>
Note though not mandatory it is customarily considered polite to include attributions when copying code.

Is there an error in the way this simulation calculates gravitational attraction and body collision?

N-Body gravity simulation seems to be working fine at first glance, and the same is true for body collisions, but once gravitationally attracted objects start to collide, they start to spiral around each other frantically and the collection of them as a whole have very erratic motion... The code (html-javascript) will be included below, and to reproduce what I'm talking about, you can create a new body by clicking in a random location on the screen.
The math for gravitational attraction is done in the Body.prototype.gravityCalc() method of the Body object type (line 261). The math for the collision resolution is found in the dynamic collision section of the bodyHandle() function (line 337).
//////////////////////////////////////////////////////////////////////////////////////////////////////////
// event handling
document.addEventListener('keydown', keyDown);
document.addEventListener('mousedown', mouseDown)
document.addEventListener('mouseup', mouseUp)
document.addEventListener('mousemove', mouseMove);
document.addEventListener('touchstart', touchStart);
document.addEventListener('touchmove', touchMove);
document.addEventListener('touchend', touchEnd);
window.addEventListener('resize', resize);
window.onload = function() {reset()}
mouseDown = false;
nothingGrabbed = true;
mouseX = 0;
mouseY = 0;
function keyDown(data) {
if(data.key == "r") {
clearInterval(loop);
reset();
}
else if(data.key == 'g') {
gravityOn = !gravityOn;
}
else if(data.key == 'Delete') {
for(i = 0; i < bodies.length ; i++) {
if(((mouseX - bodies[i].x)**2 + (mouseY - bodies[i].y)**2) <= bodies[i].radius**2) {
bodies.splice(i, 1);
}
}
}
else if(data.key == 'c') {
gravity_c *= -1;
}
else if(data.key == 'f') {
falling = !falling;
}
else if(data.key == 'a') {
acceleration *= -1;
}
}
function mouseDown(data) {
mouseDown = true;
nothingGrabbed = true;
mouseX = data.clientX;
mouseY = canvas.height - data.clientY;
}
function mouseUp(data) {
mouseDown = false;
nothingGrabbed = true;
for(i = 0; i < bodies.length; i++) {
bodies[i].grabbed = false
}
}
function mouseMove(data) {
mouseX = data.clientX;
mouseY = canvas.height - data.clientY;
}
function touchStart(data) {
mouseDown = true;
nothingGrabbed = true;
mouseX = data.touches[0].clientX;
mouseY = canvas.height - data.touches[0].clientY;
}
function touchMove(data) {
mouseX = data.touches[0].clientX;
mouseY = canvas.height - data.touches[0].clientY;
}
function touchEnd(data) {
mouseDown = false;
nothingGrabbed = true;
for(i=0;i<bodies.length;i++) {
bodies[i].grabbed = false;
}
}
function resize(data) {
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
}
//////////////////////////////////////////////////////////////////////////////////////////////////////////
// Initialize Variables
function reset() {
canvas = document.getElementById("canvas");
ctx = canvas.getContext('2d');
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
canvas.color = 'rgb(70, 70, 70)';
scale = Math.min(canvas.width, canvas.height);
fps = 120;
running = true;
loop = setInterval(main, 1000/fps);
gravityOn = true // if true, objects are gravitationally attracted to each other
gravity_c = 334000 // universe's gravitational constant
boundaryCollision = true // if true, objects collide with edges of canvas
wallDampen = 0.7 // number to multiply by when an objects hit a wall
bodyCollision = true // if true, bodies will collide with each other
bodyDampen = 0.4 // number to multiply when two objects collide
falling = false // if true, objects will fall to the bottom of the screen
acceleration = 400
bodies = [] // a list of each Body object
collidingPairs = [] // a list of pairs of colliding bodies
/*
var bounds = 200;
for(i = 0; i<70; i++) { // randomly place bodies
Body.create({
x: Math.floor(Math.random()*canvas.width),
y: Math.floor(Math.random()*canvas.height),
a: Math.random()*Math.PI*2,
xV: Math.floor(Math.random() * (bounds - -bounds)) + -bounds,
yV: Math.floor(Math.random() * (bounds - -bounds)) + -bounds,
mass: Math.ceil(Math.random()*23)
})
} */
/*
Body.create({
x: canvas.width/2 - 50,
xV: 10,
yV: 0,
aV: 3,
y: canvas.height/2 + 0,
mass: 10
});
Body.create({
x: canvas.width/2 + 50,
xV: 0,
aV: 0,
y: canvas.height/2,
mass: 10
});
*/
Body.create({
x: canvas.width/2,
y: canvas.height/2,
mass: 24,
xV: -10.83
});
Body.create({
x: canvas.width/2,
y: canvas.height/2 + 150,
mass: 1,
xV: 260,
color: 'teal'
});
}
//////////////////////////////////////////////////////////////////////////////////////////////////////////
// Body Type Object
function Body(params) {
this.x = params.x || canvas.width/2;
this.y = params.y || canvas.height/2;
this.a = params.a || 0;
this.xV = params.xV || 0;
this.yV = params.yV || 0;
this.aV = params.aV || 0;
this.xA = params.xA || 0;
this.yA = params.yA || 0;
this.aA = params.aA || 0;
this.grabbed = false;
this.edgeBlock = params.edgeBlock || boundaryCollision;
this.gravity = params.gravityOn || gravityOn;
this.mass = params.mass || 6;
this.density = params.density || 0.008;
this.radius = params.radius || (this.mass/(Math.PI*this.density))**0.5;
this.color = params.color || 'crimson';
this.lineWidth = params.lineWidth || 2;
}
Body.create = function(params) {
bodies.push(new Body(params));
}
Body.prototype.move = function() {
this.xV += this.xA/fps;
this.yV += this.yA/fps;
this.aV += this.aA/fps;
this.x += this.xV/fps;
this.y += this.yV/fps;
this.a += this.aV/fps;
if(this.edgeBlock) {
if(this.x + this.radius > canvas.width) {
this.x = canvas.width - this.radius;
this.xV *= -wallDampen
}
else if(this.x - this.radius < 0) {
this.x = this.radius;
this.xV *= -wallDampen;
}
if(this.y + this.radius > canvas.height) {
this.y = canvas.height - this.radius;
this.yV *= -wallDampen;
}
else if(this.y - this.radius < 0) {
this.y = this.radius;
this.yV *= -wallDampen;
}
}
if(this.grabbed) {
this.xA = 0;
this.yA = 0;
this.xV = 0;
this.yV = 0;
this.x = mouseX;
this.y = mouseY;
}
}
Body.prototype.draw = function() {
ctx.beginPath();
ctx.strokeStyle = 'black';
ctx.lineWidth = this.lineWidth;
ctx.fillStyle = this.color;
ctx.arc(this.x, canvas.height - this.y, this.radius, 0, Math.PI*2, true);
ctx.fill();
ctx.stroke();
ctx.closePath()
ctx.beginPath();
ctx.strokeStyle = 'black';
ctx.lineWidth = this.linewidth;
ctx.moveTo(this.x, canvas.height - this.y);
ctx.lineTo(this.x + this.radius*Math.cos(this.a), canvas.height - (this.y + this.radius*Math.sin(this.a)))
ctx.stroke();
ctx.closePath();
}
// calculates gravitational attraction to 'otherObject'
Body.prototype.gravityCalc = function(otherObject) {
var x1 = this.x;
var y1 = this.y;
var x2 = otherObject.x;
var y2 = otherObject.y;
var distSquare = ((x2-x1)**2 + (y2-y1)**2);
var val = (gravity_c*otherObject.mass)/((distSquare)**(3/2));
var xA = val * (x2 - x1);
var yA = val * (y2 - y1);
return [xA, yA]
}
//////////////////////////////////////////////////////////////////////////////////////////////////////////
// Physics Code
function bodyHandle() {
for(i = 0; i < bodies.length; i++) {
if(mouseDown && nothingGrabbed) {
if(Math.abs((mouseX - bodies[i].x)**2 + (mouseY - bodies[i].y)**2) <= bodies[i].radius**2) {
bodies[i].grabbed = true;
nothingGrabbed = false;
}
}
bodies[i].draw()
if(running) {
if(falling) {
bodies[i].yV -= acceleration/fps;
}
bodies[i].move();
}
bodies[i].xA = 0;
bodies[i].yA = 0;
collidingPairs = []
if(gravityOn || bodyCollision) {
for(b = 0; b < bodies.length; b++) {
if(i != b) {
if(bodyCollision) {
var x1 = bodies[i].x;
var y1 = bodies[i].y;
var x2 = bodies[b].x;
var y2 = bodies[b].y;
var rSum = bodies[i].radius + bodies[b].radius;
var dist = { // vector
i: x2 - x1,
j: y2 - y1,
mag: ((x2-x1)**2 + (y2-y1)**2)**0.5,
norm: {
i: (x2-x1)/(((x2-x1)**2 + (y2-y1)**2)**0.5),
j: (y2-y1)/(((x2-x1)**2 + (y2-y1)**2)**0.5)
}
}
if(dist.mag <= rSum) { // static collision
var overlap = rSum - dist.mag;
bodies[i].x -= overlap/2 * dist.norm.i;
bodies[i].y -= overlap/2 * dist.norm.j;
bodies[b].x += overlap/2 * dist.norm.i;
bodies[b].y += overlap/2 * dist.norm.j;
collidingPairs.push([bodies[i], bodies[b]]);
}
}
if(gravityOn) {
if(bodies[i].gravity) {
var accel = bodies[i].gravityCalc(bodies[b]);
bodies[i].xA += accel[0];
bodies[i].yA += accel[1];
}
}
}
}
}
for(c = 0; c < collidingPairs.length; c++) { // dynamic collision
var x1 = collidingPairs[c][0].x;
var y1 = collidingPairs[c][0].y;
var r1 = collidingPairs[c][0].radius;
var x2 = collidingPairs[c][1].x;
var y2 = collidingPairs[c][1].y;
var r2 = collidingPairs[c][1].radius;
var dist = { // vector from b1 to b2
i: x2 - x1,
j: y2 - y1,
mag: ((x2-x1)**2 + (y2-y1)**2)**0.5,
norm: {
i: (x2-x1)/(((x2-x1)**2 + (y2-y1)**2)**0.5),
j: (y2-y1)/(((x2-x1)**2 + (y2-y1)**2)**0.5)
}
}
var m1 = collidingPairs[c][0].mass;
var m2 = collidingPairs[c][1].mass;
var norm = { // vector normal along 'wall' of collision
i: -dist.j/(((dist.i)**2 + (-dist.j)**2)**0.5),
j: dist.i/(((dist.i)**2 + (-dist.j)**2)**0.5)
}
var perp = { // vector normal pointing from b1 to b2
i: dist.norm.i,
j: dist.norm.j
}
var vel1 = { // vector of b1 velocity
i: collidingPairs[c][0].xV,
j: collidingPairs[c][0].yV,
dot: function(vect) {
return collidingPairs[c][0].xV * vect.i + collidingPairs[c][0].yV * vect.j
}
}
var vel2 = { // vector of b2 velocity
i: collidingPairs[c][1].xV,
j: collidingPairs[c][1].yV,
dot: function(vect) {
return collidingPairs[c][1].xV * vect.i + collidingPairs[c][1].yV * vect.j
}
}
// new velocities along perp^ of b1 and b2
var nV1Perp = (vel1.dot(perp))*(m1-m2)/(m1+m2) + (vel2.dot(perp))*(2*m2)/(m1+m2);
var nV2Perp = (vel1.dot(perp))*(2*m1)/(m1+m2) + (vel2.dot(perp))*(m2-m1)/(m1+m2);
/* testing rotation after collision
// velocities of the points of collision on b1 and b2
var pVel1M = vel1.dot(norm) + collidingPairs[c][0].aV*r1;
var pVel2M = vel2.dot(norm) + collidingPairs[c][1].aV*r2;
// moment of inertia for b1 and b2
var I1 = 1/2 * m1 * r1**2;
var I2 = 1/2 * m2 * r2**2;
// new velocities of the points of collisions on b1 and b2
var newpVel1M = ((I1-I2)/(I1+I2))*pVel1M + ((2*I2)/(I1+I2))*pVel2M;
var newpVel2M = ((2*I1)/(I1+I2))*pVel1M + ((I2-I1)/(I1+I2))*pVel2M;
var vectToCol1 = { // vector from x1,y1 to point of collision on b1
i: r1*perp.i,
j: r1*perp.j
};
var vectToCol2 = { // vector from x2,y2 to point of collision on b2
i: r2*-perp.i,
j: r2*-perp.j
};
// sign of cross product of pVelM and vectToCol
var vCrossR1 = (pVel1M*norm.i)*(vectToCol1.j) - (pVel1M*norm.j)*(vectToCol1.i);
vCrossR1 = vCrossR1/Math.abs(vCrossR1);
var vCrossR2 = (pVel2M*norm.i)*(vectToCol2.j) - (pVel2M*norm.j)*(vectToCol2.i);
vCrossR2 = vCrossR2/Math.abs(vCrossR2);
collidingPairs[c][0].aV = vCrossR1 * (newpVel1M)/r1;
collidingPairs[c][1].aV = vCrossR2 * (newpVel2M)/r2;
/* draw collision point velocity vectors [debugging]
ctx.beginPath();
ctx.strokeStyle = 'black';
ctx.moveTo(x1 + vectToCol1.i, canvas.height - (y1 + vectToCol1.j));
ctx.lineTo((x1+vectToCol1.i) + pVel1M*norm.i, (canvas.height- (y1+vectToCol1.j + pVel1M*norm.j)));
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.strokeStyle = 'white';
ctx.moveTo(x2 + vectToCol2.i, canvas.height - (y2 + vectToCol2.j));
ctx.lineTo((x2+vectToCol2.i) + pVel2M*norm.i, (canvas.height- (y2+vectToCol2.j + pVel2M*norm.j)));
ctx.stroke();
ctx.closePath();
console.log(pVel1M, pVel2M);
clearInterval(loop);
*/
collidingPairs[c][0].xV = vel1.dot(norm)*norm.i + nV1Perp*perp.i * bodyDampen;
collidingPairs[c][0].yV = vel1.dot(norm)*norm.j + nV1Perp*perp.j * bodyDampen;
collidingPairs[c][1].xV = vel2.dot(norm)*norm.i + nV2Perp*perp.i * bodyDampen;
collidingPairs[c][1].yV = vel2.dot(norm)*norm.j + nV2Perp*perp.j * bodyDampen;
}
}
}
//////////////////////////////////////////////////////////////////////////////////////////////////////////
// Main Loop
function main() {
// blank out canvas
ctx.fillStyle = canvas.color;
ctx.fillRect(0, 0, canvas.width, canvas.height);
bodyHandle();
if(nothingGrabbed && mouseDown) {
bodies.push(new Body({x: mouseX,
y: mouseY,
mass: 90}));
bodies[bodies.length-1].move();
bodies[bodies.length-1].draw();
}
}
<html>
<meta name='viewport' content='width=device-width,height=device-height'>
<body>
<canvas id="canvas" width='300px' height='300px'></canvas>
<style>
body {
padding: 0;
margin: 0;
}
canvas {
padding: 0;
margin: 0;
}
</style>
</html>
I cannot tell you much about the code. Personally it seems to me that the animations could be correct.
If you want to test your code you could try to test if laws of conservation of energy and momentum are respected. You could, for example, sum the momentum of every object (mass times velocity) and see if the number are maintained constant when there are no forces from the outside (collisions with the wall). To do this I would suggest to make the free space available larger. Another quantity is the total energy (kinetic plus potential) which is a bit harder, but still easy to compute (to compute tot. pot. energy you have to sum over all pairs).

Drawing linear gradient paths on HTML canvas

I'm trying to make a canvas with the ability to draw (with mousedown) paths that are filled with a color like so:
I have this code that kinda works but it's crashing usually when I start to draw, probably because of its too much calculation load on the plotLine function.
I'm wondering if I can do this more efficiently to prevent the crash if possible.
// Some setup code
var c = document.querySelector("canvas"),
ctx = c.getContext("2d"),
colors = [
{ r: 198, g: 232, b: 250 },
{ r: 249, g: 213, b: 228 },
{ r: 254, g: 250, b: 214 }
],
cIndex = 0,
maxColors = colors.length,
total = 0,
segment = 500,
isDown = false,
px,
py;
setSize();
c.onmousedown = c.ontouchstart = function(e) {
isDown = true;
var pos = getPos(e);
px = pos.x;
py = pos.y;
};
window.onmousemove = window.ontouchmove = function(e) {
if (isDown) plot(e);
};
window.onmouseup = window.ontouchend = function(e) {
e.preventDefault();
isDown = false;
};
function getPos(e) {
e.preventDefault();
if (e.touches) e = e.touches[0];
var r = c.getBoundingClientRect();
return {
x: e.clientX - r.left,
y: e.clientY - r.top
};
}
function plot(e) {
var pos = getPos(e);
plotLine(ctx, px, py, pos.x, pos.y);
px = pos.x;
py = pos.y;
}
function plotLine(ctx, x1, y1, x2, y2) {
var diffX = Math.abs(x2 - x1),
diffY = Math.abs(y2 - y1),
dist = Math.sqrt(diffX * diffX + diffY * diffY),
step = dist / 50,
i = 0,
t,
b,
x,
y;
while (i <= dist) {
t = Math.min(1, i / dist);
x = x1 + (x2 - x1) * t;
y = y1 + (y2 - y1) * t;
ctx.fillStyle = getColor();
ctx.beginPath();
ctx.arc(x, y, 10, 0, Math.PI * 2);
ctx.fill();
i += step;
}
function getColor() {
var r, g, b, t, c1, c2;
c1 = colors[cIndex];
c2 = colors[(cIndex + 1) % maxColors];
t = Math.min(1, total / segment);
if (++total > segment) {
total = 0;
if (++cIndex >= maxColors) cIndex = 0;
}
r = c1.r + (c2.r - c1.r) * t;
g = c1.g + (c2.g - c1.g) * t;
b = c1.b + (c2.b - c1.b) * t;
return "rgb(" + (r | 0) + "," + (g | 0) + "," + (b | 0) + ")";
}
}
window.onresize = setSize;
function setSize() {
c.width = window.innerWidth;
c.height = window.innerHeight;
}
document.querySelector("button").onclick = function() {
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
};
html,
body {
background: #777;
margin: 0;
overflow: hidden;
}
canvas {
position: fixed;
left: 0;
top: 0;
background: #333;
}
button {
position: fixed;
left: 10px;
top: 10px;
}
<canvas></canvas>
<button>Clear</button>
In the function plotLine there is a risk that dist and step are 0. In that case the while loop will never end.
So just add this line:
if (!step) return;
Or, else replace <= by < in the loop condition:
while (i < dist) {

Drawing an outlined ellipse with thickness in JS

I want to draw a basic axis-aligned ellipse in Javascript without the Canvas/Context methods provided (they add anti-aliasing which I don't want!)
So far, I got this working, but the thickness is still wrong.
var canvas = document.getElementById('myCanvas');
var ctx = canvas.getContext('2d');
var imageData = ctx.getImageData(0, 0, canvas.width, canvas.height);
function setPixel(x, y, r, g, b)
{
var index = (y * imageData.width + x) * 4;
imageData.data[index + 0] = r;
imageData.data[index + 1] = g;
imageData.data[index + 2] = b;
imageData.data[index + 3] = 255;
}
function drawEllipse(x1, y1, x2, y2, thickness, r, g, b)
{
var radX = (x2 - x1) * 0.5;
var radY = (y2 - y1) * 0.5;
var cenX = (x1 + x2) * 0.5;
var cenY = (y1 + y2) * 0.5;
var aspectX = 1.0;
var aspectY = 1.0;
var radMax = Math.max(radX, radY);
if (radX > radY)
aspectY = radX / radY;
else
aspectX = radY / radX;
for (var x = x1; x < x2; x++)
{
for (var y = y1; y < y2; y++)
{
var dx = Math.abs(x - cenX) * aspectX;
var dy = Math.abs(y - cenY) * aspectY;
var d = Math.sqrt(dx*dx + dy*dy);
var side1 = d < radMax && d > radMax - thickness;
if (side1)
setPixel(x, y, r, g, b);
}
}
}
drawEllipse(0, 0, canvas.width - 1, canvas.height - 1, 20, 0, 0, 0);
ctx.putImageData(imageData, 0, 0);
#myCanvas { background: white; }
<canvas id="myCanvas" width="120" height="60"></canvas>
Alternatively on JSBin:
https://jsbin.com/diwewimuya/edit?html,css,js,output

How to draw a curved spring in a HTML5 Canvas?

I would like to draw a spring in a HTML5 canvas, and show if that spring is at its rest length or not.
My spring is attached to a rectangular shape to some X-Y coordinates and defined as follows:
function Spring(restLenght, width, numRounds){
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.color = "green";
this.lineWidth = 6;
}
The parameters are explained in the picture below:
When the spring is at its rest length, the lines shall be parallel to each other, otherwise this means the spring is stretched or compressed. Then it will be immediately clear what state the spring is.
I'm stuck now with the bezierCurveTo() Method:
Here is my Fiddle: https://jsfiddle.net/df3mm8kz/1/
var cv = document.getElementById('cv'),
ctx = cv.getContext('2d'),
mouse = capture(cv),
box = new Box(120, 80, 0, 16),
spring = new Spring(160, 20, 2, 0.03, 0.9),
vx = 0,
vy = 0;
function Spring(restLenght, width, numRounds, k, f){
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.k = k;
this.f = f;
this.color = "green";
this.lineWidth = 6;
}
Spring.prototype.draw = function(ctx) {
var sPX, sPY, cP1X, cP1Y, cP2X, cP2Y, ePX, ePY;
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = this.color;
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.moveTo(this.x1, this.y1);
// length of one spring's round
var l = this.restLenght/(this.numRounds + 2);
// Initial segment, from spring anchor point to the first round
sPX = this.x1+l; sPY = this.y2;
ctx.lineTo(sPX, sPY);
// half width of spring's rounds
var hw = 0.5*this.width;
// half length of one spring's round
var hl = 0.5*l;
for(var i=0, n=this.numRounds; i<n; i++) {
cP1X = sPX + hl*i; cP1Y = sPY + hw;
cP2X = sPX + l*i; cp2Y = sPY + hw;
ePX = sPX + l*i; ePY = sPY;
ctx.bezierCurveTo(cP1X,cP1Y,cP2X,cp2Y,ePX,ePY);
cP1X = sPX + hl*i; cP1Y = sPY - hw;
cP2X = sPX + l*i; cp2Y = sPY - hw;
ePX = sPX + l*i; ePY = sPY;
ctx.bezierCurveTo(cP1X,cP1Y,cP2X,cp2Y,ePX,ePY);
}
// Final segment, from last springs round to the center of mass
ctx.lineTo(this.x2, this.y2);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.restore();
};
function Box(w, h, mx, my) {
this.x = 0;
this.y = 0;
this.w = w;
this.h = h;
this.mx = mx;
this.my = my;
this.vx = 0;
this.vy = 0;
this.rotation = 0;
this.color = "red";
this.lineWidth = 1;
}
Box.prototype.draw = function(ctx) {
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = "black";
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.rect(-0.5*this.w, -0.5*this.h, this.w, this.h);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "yellow";
ctx.fillStyle = "yellow";
ctx.arc(this.mx, 0.5*this.h-this.my, 6, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.closePath();
ctx.fill();
ctx.restore();
};
window.requestAnimFrame = (
function(callback) {
return window.setTimeout(callback, 1000/30);
});
(function drawFrame() {
window.requestAnimFrame(drawFrame, cv);
ctx.clearRect(0, 0, cv.width, cv.height);
var dx = box.x - mouse.x,
dy = box.y - mouse.y,
angle = Math.atan2(dy, dx),
boxAngle = angle + 0.5*Math.PI,
targetX = mouse.x + Math.cos(angle) * spring.restLenght,
targetY = mouse.y + Math.sin(angle) * spring.restLenght;
vx += (targetX - box.x) * spring.k;
vy += (targetY - box.y) * spring.k;
vx *= spring.f;
vy *= spring.f;
box.rotation = boxAngle;
box.x += vx;
box.y += vy;
box.draw(ctx);
spring.x1 = mouse.x;
spring.y1 = mouse.y;
spring.x2 = box.x;
spring.y2 = box.y;
spring.draw(ctx);
}());
function capture(element) {
var mouse = {
x: 0,
y: 0,
event: null
},
body_scrollLeft = document.body.scrollLeft,
element_scrollLeft = document.documentElement.scrollLeft,
body_scrollTop = document.body.scrollTop,
element_scrollTop = document.documentElement.scrollTop,
offsetLeft = element.offsetLeft,
offsetTop = element.offsetTop;
element.addEventListener('mousemove', function(event) {
var x, y;
if (event.pageX || event.pageY) {
x = event.pageX;
y = event.pageY;
} else {
x = event.clientX + body_scrollLeft + element_scrollLeft;
y = event.clientY + body_scrollTop + element_scrollTop;
}
x -= offsetLeft;
y -= offsetTop;
mouse.x = x;
mouse.y = y;
mouse.event = event;
}, false);
return mouse;
}
<canvas id="cv" width="600" height="400"></canvas>
Drawing a spring
Rather than use bezier curves which do not actually fit the curve of a spring (but close) I just use a simple path and use trig functions to draw each winding. the function has a start x1,y1 and end x2, y2, windings (should be an integer), width of spring, the offset (bits at ends), Dark colour, and light colour, and the stroke width (width of the wire).
The demo draws an extra highlight to give the spring a little more depth. It can easily be removed.
The code came from this answer that has a simpler version of the same function
function drawSpring(x1, y1, x2, y2, windings, width, offset, col1, col2, lineWidth){
var x = x2 - x1;
var y = y2 - y1;
var dist = Math.sqrt(x * x + y * y);
var nx = x / dist;
var ny = y / dist;
ctx.strokeStyle = col1
ctx.lineWidth = lineWidth;
ctx.lineJoin = "round";
ctx.lineCap = "round";
ctx.beginPath();
ctx.moveTo(x1,y1);
x1 += nx * offset;
y1 += ny * offset;
x2 -= nx * offset;
y2 -= ny * offset;
var x = x2 - x1;
var y = y2 - y1;
var step = 1 / (windings);
for(var i = 0; i <= 1-step; i += step){ // for each winding
for(var j = 0; j < 1; j += 0.05){
var xx = x1 + x * (i + j * step);
var yy = y1 + y * (i + j * step);
xx -= Math.sin(j * Math.PI * 2) * ny * width;
yy += Math.sin(j * Math.PI * 2) * nx * width;
ctx.lineTo(xx,yy);
}
}
ctx.lineTo(x2, y2);
ctx.lineTo(x2 + nx * offset, y2 + ny * offset)
ctx.stroke();
ctx.strokeStyle = col2
ctx.lineWidth = lineWidth - 4;
var step = 1 / (windings);
ctx.beginPath();
ctx.moveTo(x1 - nx * offset, y1 - ny * offset);
ctx.lineTo(x1, y1);
ctx.moveTo(x2, y2);
ctx.lineTo(x2 + nx * offset, y2 + ny * offset)
for(var i = 0; i <= 1-step; i += step){ // for each winding
for(var j = 0.25; j <= 0.76; j += 0.05){
var xx = x1 + x * (i + j * step);
var yy = y1 + y * (i + j * step);
xx -= Math.sin(j * Math.PI * 2) * ny * width;
yy += Math.sin(j * Math.PI * 2) * nx * width;
if(j === 0.25){
ctx.moveTo(xx,yy);
}else{
ctx.lineTo(xx,yy);
}
}
}
ctx.stroke();
}
function display() {
ctx.setTransform(1, 0, 0, 1, 0, 0); // reset transform
ctx.globalAlpha = 1; // reset alpha
ctx.clearRect(0, 0, w, h);
ctx.lineWidth = 8;
drawSpring(canvas.width / 2,10, mouse.x,mouse.y,8,100,40,"green","#0C0",15);
}
// Boiler plate code from here down and not part of the answer
var w, h, cw, ch, canvas, ctx, mouse, globalTime = 0, firstRun = true;
;(function(){
const RESIZE_DEBOUNCE_TIME = 100;
var createCanvas, resizeCanvas, setGlobals, resizeCount = 0;
createCanvas = function () {
var c,
cs;
cs = (c = document.createElement("canvas")).style;
cs.position = "absolute";
cs.top = cs.left = "0px";
cs.zIndex = 1000;
document.body.appendChild(c);
return c;
}
resizeCanvas = function () {
if (canvas === undefined) {
canvas = createCanvas();
}
canvas.width = innerWidth;
canvas.height = innerHeight;
ctx = canvas.getContext("2d");
if (typeof setGlobals === "function") {
setGlobals();
}
if (typeof onResize === "function") {
if(firstRun){
onResize();
firstRun = false;
}else{
resizeCount += 1;
setTimeout(debounceResize, RESIZE_DEBOUNCE_TIME);
}
}
}
function debounceResize() {
resizeCount -= 1;
if (resizeCount <= 0) {
onResize();
}
}
setGlobals = function () {
cw = (w = canvas.width) / 2;
ch = (h = canvas.height) / 2;
}
mouse = (function () {
function preventDefault(e) {
e.preventDefault();
}
var mouse = {
x : 0,
y : 0,
w : 0,
alt : false,
shift : false,
ctrl : false,
buttonRaw : 0,
over : false,
bm : [1, 2, 4, 6, 5, 3],
active : false,
bounds : null,
crashRecover : null,
mouseEvents : "mousemove,mousedown,mouseup,mouseout,mouseover,mousewheel,DOMMouseScroll".split(",")
};
var m = mouse;
function mouseMove(e) {
var t = e.type;
m.bounds = m.element.getBoundingClientRect();
m.x = e.pageX - m.bounds.left;
m.y = e.pageY - m.bounds.top;
m.alt = e.altKey;
m.shift = e.shiftKey;
m.ctrl = e.ctrlKey;
if (t === "mousedown") {
m.buttonRaw |= m.bm[e.which - 1];
} else if (t === "mouseup") {
m.buttonRaw &= m.bm[e.which + 2];
} else if (t === "mouseout") {
m.buttonRaw = 0;
m.over = false;
} else if (t === "mouseover") {
m.over = true;
} else if (t === "mousewheel") {
m.w = e.wheelDelta;
} else if (t === "DOMMouseScroll") {
m.w = -e.detail;
}
if (m.callbacks) {
m.callbacks.forEach(c => c(e));
}
if ((m.buttonRaw & 2) && m.crashRecover !== null) {
if (typeof m.crashRecover === "function") {
setTimeout(m.crashRecover, 0);
}
}
e.preventDefault();
}
m.addCallback = function (callback) {
if (typeof callback === "function") {
if (m.callbacks === undefined) {
m.callbacks = [callback];
} else {
m.callbacks.push(callback);
}
}
}
m.start = function (element) {
if (m.element !== undefined) {
m.removeMouse();
}
m.element = element === undefined ? document : element;
m.mouseEvents.forEach(n => {
m.element.addEventListener(n, mouseMove);
});
m.element.addEventListener("contextmenu", preventDefault, false);
m.active = true;
}
m.remove = function () {
if (m.element !== undefined) {
m.mouseEvents.forEach(n => {
m.element.removeEventListener(n, mouseMove);
});
m.element.removeEventListener("contextmenu", preventDefault);
m.element = m.callbacks = undefined;
m.active = false;
}
}
return mouse;
})();
// Clean up. Used where the IDE is on the same page.
var done = function () {
window.removeEventListener("resize", resizeCanvas)
mouse.remove();
document.body.removeChild(canvas);
canvas = ctx = mouse = undefined;
}
function update(timer) { // Main update loop
if(ctx === undefined){
return;
}
globalTime = timer;
display(); // call demo code
if (!(mouse.buttonRaw & 2)) {
requestAnimationFrame(update);
} else {
done();
}
}
setTimeout(function(){
resizeCanvas();
mouse.start(canvas, true);
mouse.crashRecover = done;
window.addEventListener("resize", resizeCanvas);
requestAnimationFrame(update);
},0);
})();
/** SimpleFullCanvasMouse.js end **/
To make drawing easier, use .translate() and .rotate() to move into an aligned coordinate system.
ctx.translate(this.x1, this.y1);
ctx.rotate(Math.atan2(this.y2 - this.y1, this.x2 - this.x1));
You can then draw the spring along the local x-axis, and it will appear in the correct place and rotation.
Your spacing of the segments were wrong. hl*i is half the distance from the spring's starting point, not the segment's starting point.
var cv = document.getElementById('cv'),
ctx = cv.getContext('2d'),
mouse = capture(cv),
box = new Box(120, 80, 0, 16),
spring = new Spring(160, 50, 2, 0.03, 0.9),
vx = 0,
vy = 0;
function Spring(restLenght, width, numRounds, k, f) {
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.k = k;
this.f = f;
this.color = "green";
this.lineWidth = 6;
}
Spring.prototype.draw = function(ctx) {
var sPX, sPY, cP1X, cP1Y, cP2X, cP2Y, ePX, ePY;
ctx.save();
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = this.color;
ctx.fillStyle = this.color;
var vx = this.x2 - this.x1;
var vy = this.y2 - this.y1;
var vm = Math.sqrt(vx * vx + vy * vy);
ctx.translate(this.x1, this.y1);
ctx.rotate(Math.atan2(vy, vx));
ctx.beginPath();
ctx.moveTo(0, 0);
// length of one spring's round
var l = vm / (this.numRounds + 2);
// Initial segment, from spring anchor point to the first round
sPX = l;
sPY = 0;
ctx.lineTo(sPX, sPY);
// half width of spring's rounds
var hw = 0.5 * this.width;
for (var i = 0, n = this.numRounds; i < n; i++) {
cP1X = sPX + l * (i + 0.0);
cP1Y = sPY + hw;
cP2X = sPX + l * (i + 0.5);
cp2Y = sPY + hw;
ePX = sPX + l * (i + 0.5);
ePY = sPY;
ctx.bezierCurveTo(cP1X, cP1Y, cP2X, cp2Y, ePX, ePY);
cP1X = sPX + l * (i + 0.5);
cP1Y = sPY - hw;
cP2X = sPX + l * (i + 1.0);
cp2Y = sPY - hw;
ePX = sPX + l * (i + 1.0);
ePY = sPY;
ctx.bezierCurveTo(cP1X, cP1Y, cP2X, cp2Y, ePX, ePY);
}
// Final segment, from last springs round to the center of mass
ctx.lineTo(vm, 0);
//ctx.closePath();
//ctx.fill();
ctx.stroke();
ctx.restore();
};
function Box(w, h, mx, my) {
this.x = 0;
this.y = 0;
this.w = w;
this.h = h;
this.mx = mx;
this.my = my;
this.vx = 0;
this.vy = 0;
this.rotation = 0;
this.color = "red";
this.lineWidth = 1;
}
Box.prototype.draw = function(ctx) {
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = "black";
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.rect(-0.5 * this.w, -0.5 * this.h, this.w, this.h);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "yellow";
ctx.fillStyle = "yellow";
ctx.arc(this.mx, 0.5 * this.h - this.my, 6, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.closePath();
ctx.fill();
ctx.restore();
};
window.requestAnimFrame = (
function(callback) {
return window.setTimeout(callback, 1000 / 30);
});
(function drawFrame() {
window.requestAnimFrame(drawFrame, cv);
ctx.clearRect(0, 0, cv.width, cv.height);
var dx = box.x - mouse.x,
dy = box.y - mouse.y,
angle = Math.atan2(dy, dx),
boxAngle = angle + 0.5 * Math.PI,
targetX = mouse.x + Math.cos(angle) * spring.restLenght,
targetY = mouse.y + Math.sin(angle) * spring.restLenght;
vx += (targetX - box.x) * spring.k;
vy += (targetY - box.y) * spring.k;
vx *= spring.f;
vy *= spring.f;
box.rotation = boxAngle;
box.x += vx;
box.y += vy;
box.draw(ctx);
spring.x1 = mouse.x;
spring.y1 = mouse.y;
spring.x2 = box.x;
spring.y2 = box.y;
spring.draw(ctx);
}());
function capture(element) {
var mouse = {
x: 0,
y: 0,
event: null
},
body_scrollLeft = document.body.scrollLeft,
element_scrollLeft = document.documentElement.scrollLeft,
body_scrollTop = document.body.scrollTop,
element_scrollTop = document.documentElement.scrollTop,
offsetLeft = element.offsetLeft,
offsetTop = element.offsetTop;
element.addEventListener('mousemove', function(event) {
var x, y;
if (event.pageX || event.pageY) {
x = event.pageX;
y = event.pageY;
} else {
x = event.clientX + body_scrollLeft + element_scrollLeft;
y = event.clientY + body_scrollTop + element_scrollTop;
}
x -= offsetLeft;
y -= offsetTop;
mouse.x = x;
mouse.y = y;
mouse.event = event;
}, false);
return mouse;
}
<canvas id="cv" width="600" height="400"></canvas>

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