filling circle with hexagons - javascript

I'm trying to find a way to put as much hexagons in a circle as possible. So far the best result I have obtained is by generating hexagons from the center outward in a circular shape.
But I think my calculation to get the maximum hexagon circles is wrong, especially the part where I use the Math.ceil() and Math.Floor functions to round down/up some values.
When using Math.ceil(), hexagons are sometimes overlapping the circle.
When using Math.floor() on the other hand , it sometimes leaves too much space between the last circle of hexagons and the circle's border.
var c_el = document.getElementById("myCanvas");
var ctx = c_el.getContext("2d");
var canvas_width = c_el.clientWidth;
var canvas_height = c_el.clientHeight;
var PI=Math.PI;
var PI2=PI*2;
var hexCircle = {
r: 110, /// radius
pos: {
x: (canvas_width / 2),
y: (canvas_height / 2)
}
};
var hexagon = {
r: 20,
pos:{
x: 0,
y: 0
},
space: 1
};
drawHexCircle( hexCircle, hexagon );
function drawHexCircle(hc, hex ) {
drawCircle(hc);
var hcr = Math.ceil( Math.sqrt(3) * (hc.r / 2) );
var hr = Math.ceil( ( Math.sqrt(3) * (hex.r / 2) ) ) + hexagon.space; // hexRadius
var circles = Math.ceil( ( hcr / hr ) / 2 );
drawHex( hc.pos.x , hc.pos.y, hex.r ); //center hex ///
for (var i = 1; i<=circles; i++) {
for (var j = 0; j<6; j++) {
var currentX = hc.pos.x+Math.cos(j*PI2/6)*hr*2*i;
var currentY = hc.pos.y+Math.sin(j*PI2/6)*hr*2*i;
drawHex( currentX,currentY, hex.r );
for (var k = 1; k<i; k++) {
var newX = currentX + Math.cos((j*PI2/6+PI2/3))*hr*2*k;
var newY = currentY + Math.sin((j*PI2/6+PI2/3))*hr*2*k;
drawHex( newX,newY, hex.r );
}
}
}
}
function drawHex(x, y, r){
ctx.beginPath();
ctx.moveTo(x,y-r);
for (var i = 0; i<=6; i++) {
ctx.lineTo(x+Math.cos((i*PI2/6-PI2/4))*r,y+Math.sin((i*PI2/6-PI2/4))*r);
}
ctx.closePath();
ctx.stroke();
}
function drawCircle( circle ){
ctx.beginPath();
ctx.arc(circle.pos.x, circle.pos.y, circle.r, 0, 2 * Math.PI);
ctx.closePath();
ctx.stroke();
}
<canvas id="myCanvas" width="350" height="350" style="border:1px solid #d3d3d3;">

If all the points on the hexagon are within the circle, the hexagon is within the circle. I don't think there's a simpler way than doing the distance calculation.
I'm not sure how to select the optimal fill point, (but here's a js snippet proving that the middle isn't always it). It's possible that when you say "hexagon circle" you mean hexagon made out of hexagons, in which case the snippet proves nothing :)
I made the hexagon sides 2/11ths the radius of the circle and spaced them by 5% the side length.
var hex = {x:0, y:0, r:10};
var circle = {x:100, y:100, r:100};
var spacing = 1.05;
var SQRT_3 = Math.sqrt(3);
var hexagon_offsets = [
{x: 1/2, y: -SQRT_3 / 2},
{x: 1, y: 0},
{x: 1/2, y: SQRT_3 / 2},
{x: -1/2, y: SQRT_3 / 2},
{x: -1, y: 0},
{x: -1/2, y: -SQRT_3 / 2}
];
var bs = document.body.style;
var ds = document.documentElement.style;
bs.height = bs.width = ds.height = ds.width = "100%";
bs.border = bs.margin = bs.padding = 0;
var c = document.createElement("canvas");
c.style.display = "block";
c.addEventListener("mousemove", follow, false);
document.body.appendChild(c);
var ctx = c.getContext("2d");
window.addEventListener("resize", redraw);
redraw();
function follow(e) {
hex.x = e.clientX;
hex.y = e.clientY;
redraw();
}
function drawCircle() {
ctx.strokeStyle = "black";
ctx.beginPath();
ctx.arc(circle.x, circle.y, circle.r, 0, 2 * Math.PI, true);
ctx.closePath();
ctx.stroke();
}
function is_in_circle(p) {
return Math.pow(p.x - circle.x, 2) + Math.pow(p.y - circle.y, 2) < Math.pow(circle.r, 2);
}
function drawLine(a, b) {
var within = is_in_circle(a) && is_in_circle(b);
ctx.strokeStyle = within ? "green": "red";
ctx.beginPath();
ctx.moveTo(a.x, a.y);
ctx.lineTo(b.x, b.y);
ctx.closePath();
ctx.stroke();
return within;
}
function drawShape(shape) {
var within = true;
for (var i = 0; i < shape.length; i++) {
within = drawLine(shape[i % shape.length], shape[(i + 1) % shape.length]) && within;
}
if (!within) return false;
ctx.fillStyle = "green";
ctx.beginPath();
ctx.moveTo(shape[0].x, shape[0].y);
for (var i = 1; i <= shape.length; i++) {
ctx.lineTo(shape[i % shape.length].x, shape[i % shape.length].y);
}
ctx.closePath();
ctx.fill();
return true;
}
function calculate_hexagon(x, y, r) {
return hexagon_offsets.map(function (offset) {
return {x: x + r * offset.x, y: y + r * offset.y};
})
}
function drawHexGrid() {
var hex_count = 0;
var grid_space = calculate_hexagon(0, 0, hex.r * spacing);
var y = hex.y;
var x = hex.x;
while (y > 0) {
y += grid_space[0].y * 3;
x += grid_space[0].x * 3;
}
while (y < c.height) {
x %= grid_space[1].x * 3;
while (x < c.width) {
var hexagon = calculate_hexagon(x, y, hex.r);
if (drawShape(hexagon)) hex_count++;
x += 3 * grid_space[1].x;
}
y += grid_space[3].y;
x += grid_space[3].x;
x += 2 * grid_space[1].x;
}
return hex_count;
}
function redraw() {
c.width = window.innerWidth;
c.height = window.innerHeight;
circle.x = c.width / 2;
circle.y = c.height / 2;
circle.r = Math.min(circle.x, circle.y) * 0.9;
hex.r = circle.r * (20 / 110);
ctx.clearRect(0, 0, c.width, c.height);
var hex_count = drawHexGrid();
drawCircle();
ctx.fillStyle = "rgb(0, 0, 50)";
ctx.font = "40px serif";
ctx.fillText(hex_count + " hexes within circle", 20, 40);
}

Related

Circle moving around the edge of the canvas

I need a circle moving around the edge of the canvas. Moving right then down is working properly, but when it needs to go left it's jumping to the bottom-right and starts moving right again and again. I don't exactly know how to fix that.
var can = document.getElementById('C4');
var ctx = can.getContext('2d');
var x = 5, y = 20;
ctx.fillStyle = "black";
ctx.fillRect(700, 100, 100, 100);
function draw() {
ctx.beginPath();
ctx.arc(x, y, 20, 0, 2 * Math.PI);
ctx.fillStyle = 'rgba(250,0,0,0.4)';
ctx.fill();
do {//moving right
x += 2;
} while (x <! 281);
if (x >= 280){//down
do {
x = 280;
y += 2;
} while (y <! 130);
}
if(y >= 130 && x >= 280){//left
do {
x = x - 2;
y = 130;
} while (x >! 20);
}
if (x <= 20) {//up
do {
x = 20;
y = y-2;
} while (y <! 20);
}
ctx.fillStyle = "rgba(34,45,23,0.4)";
ctx.fillRect(0, 0, can.width, can.height);
requestAnimationFrame(draw);
}
draw();
canvas { border: 1px solid black}
<canvas id="C4"></canvas>
Since you're using a recursion you don't need the do while, the loops are just making the circle jump from one edge to another. You can achive your goal with if conditions, like this:
var can = document.getElementById('C4');
var ctx = can.getContext('2d');
var x = 5, y = 20;
ctx.fillStyle = "black";
ctx.fillRect(700, 100, 100, 100);
function draw() {
ctx.beginPath();
ctx.arc(x, y, 20, 0, 2 * Math.PI);
ctx.fillStyle = 'rgba(250,0,0,0.4)';
ctx.fill();
if (x < 280 && y == 20) {
x += 2;
}
if (x >= 280 && y < 130){//down
x = 280;
y += 2;
}
if(y >= 130 && x > 20){//left
x = x - 2;
y = 130;
}
if (x == 20 && y > 20) {//up
x = 20;
y = y-2;
}
ctx.fillStyle = "rgba(34,45,23,0.4)";
ctx.fillRect(0, 0, can.width, can.height);
requestAnimationFrame(draw);
}
draw();
canvas { border: 1px solid black}
<canvas id="C4"></canvas>
Isolate the ball as an object.
Use the balls direction to check for change in direction.
Clear the canvas first line inside the draw function rather than create a path at the end of the draw function.
Example.
var ctx = canvas.getContext('2d');
const radius = 20;
const speed = 2;
const ball = {
style: "rgba(250,0,0,0.4)",
radius: radius,
pos: {x: radius, y: radius},
vel: {x: speed, y: 0},
step() {
const w = ctx.canvas.width, h = ctx.canvas.height, r = ball.radius;
var x = ball.pos.x, y = ball.pos.y
if(ball.vel.x === speed && x >= w - r ) {
ball.vel.x = 0;
ball.vel.y = speed;
ball.pos.x = w - r;
} else if(ball.vel.y === speed && y >= h - r) {
ball.vel.x = -speed;
ball.vel.y = 0;
ball.pos.y = h - r;
} else if(ball.vel.x === -speed && x <= r) {
ball.vel.x = 0;
ball.vel.y = -speed;
ball.pos.x = r;
} else if(ball.vel.y === -speed && y <= r) {
ball.vel.x = speed;
ball.vel.y = 0;
ball.pos.y = r;
}
ball.pos.x += ball.vel.x;
ball.pos.y += ball.vel.y;
},
draw() {
ctx.fillStyle = ball.style;
ctx.beginPath();
ctx.arc(ball.pos.x, ball.pos.y, ball.radius, 0, 2 * Math.PI);
ctx.fill();
},
}
function draw() {
ctx.fillStyle = "rgba(34,45,23,0.4)";
ctx.fillRect(0, 0, ctx.canvas.width, ctx.canvas.height);
ball.step();
ball.draw();
requestAnimationFrame(draw);
}
draw();
canvas { border: 1px solid black}
<canvas id="canvas"></canvas>

How can I reshape polygon without change line lengths

I can reshape polygon with mouse by using code in snippet. After drawing polygon, users can change shape by moving points. But I want to modify shape without changing line lengths. The points will change as possible but length of the lines will remain the same.
How can I do this?
var canvas, ctx;
var canvasIsMouseDown = false;
var radius = 6;
var pointIndex = -1;
var points = [
{ x: 10, y: 10 },
{ x: 100, y: 50 },
{ x: 150, y: 100 },
{ x: 60, y: 110 },
{ x: 30, y: 160 }
];
function start() {
canvas = document.getElementById("cnPolygon");
ctx = canvas.getContext("2d");
canvas.addEventListener("mousemove", canvasMouseMove);
canvas.addEventListener("mousedown", canvasMouseDown);
canvas.addEventListener("mouseup", canvasMouseUp);
draw();
}
function canvasMouseMove(ev) {
if (!canvasIsMouseDown || pointIndex === -1) return;
points[pointIndex].x = ev.pageX - this.offsetLeft;
points[pointIndex].y = ev.pageY - this.offsetTop;
draw();
}
function canvasMouseDown(ev) {
canvasIsMouseDown = true;
var x = ev.pageX - this.offsetLeft;
var y = ev.pageY - this.offsetTop;
pointIndex = -1;
var dist;
for (var i = 0; i < points.length; i++) {
dist = Math.sqrt(Math.pow((x - points[i].x), 2) + Math.pow((y - points[i].y), 2));
if (dist <= radius) {
pointIndex = i;
break;
}
}
}
function canvasMouseUp(ev) {
canvasIsMouseDown = false;
}
function draw() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
ctx.beginPath();
ctx.moveTo(points[0].x, points[0].y);
for (var i = 0; i < points.length; i++) {
ctx.lineTo(points[i].x, points[i].y);
}
ctx.closePath();
ctx.stroke();
for (var i = 0; i < points.length; i++) {
ctx.beginPath();
ctx.arc(points[i].x, points[i].y, radius, 0, Math.PI * 2);
ctx.stroke();
}
}
document.addEventListener("DOMContentLoaded", start);
<canvas id="cnPolygon" width="200" height="200" style="border:solid 1px silver"></canvas>
Take a look at this
var canvas, ctx;
var canvasIsMouseDown = false;
var radius = 3;
var pointIndex = -1;
var points = [
{ x: 10, y: 10 },
{ x: 100, y: 50 },
{ x: 150, y: 100 },
{ x: 60, y: 110 },
{ x: 30, y: 160 }
];
// PHYSICS START ----------------
var stiffness = 0.25 // defines how elastic the contrainst should be
var oscillations = 10 // defines how many iterations should be made, more iterations mean higher precision
function getAngle(x1,y1,x2,y2){
return Math.atan2(y2-y1,x2-x1) + Math.PI/2
}
function getConstraintPos(tx,ty,ox,oy,dist){
var rot = getAngle(tx,ty,ox,oy)
var x = tx+Math.sin(rot)*dist
var y = ty-Math.cos(rot)*dist
return [x,y]
}
function applyContraintForce(point,pos){
point.x += (pos[0] - point.x)*stiffness
point.y += (pos[1] - point.y)*stiffness
}
function defineDistances(){
for (var i = 0; i < points.length; i++) {
var next_point = points[(i+1)%points.length]
points[i].distance = Math.sqrt(Math.pow((next_point.x - points[i].x), 2) + Math.pow((next_point.y - points[i].y), 2))
}
}
function updateContraints(){
// forward pass
for (var i=0;i<points.length;i++)
{
if(i==pointIndex) continue
var j = (+i+1)%points.length
var pos = getConstraintPos(points[j].x,points[j].y,points[i].x,points[i].y,points[i].distance)
applyContraintForce(points[i],pos)
}
//backward pass
for (var i=points.length-1;i>=0;i--)
{
if(i==pointIndex) continue
var j = (i-1)
j = j<0 ? points.length+j : j
var pos = getConstraintPos(points[j].x,points[j].y,points[i].x,points[i].y,points[j].distance)
applyContraintForce(points[i],pos)
}
}
// PHYSICS END ----------------
function start() {
canvas = document.getElementById("cnPolygon");
ctx = canvas.getContext("2d");
canvas.addEventListener("mousemove", canvasMouseMove);
canvas.addEventListener("mousedown", canvasMouseDown);
canvas.addEventListener("mouseup", canvasMouseUp);
defineDistances()
draw();
}
function canvasMouseMove(ev) {
if (!canvasIsMouseDown || pointIndex === -1) return;
points[pointIndex].x = ev.pageX - this.offsetLeft;
points[pointIndex].y = ev.pageY - this.offsetTop;
for(var i=0;i<oscillations;i++){
updateContraints()
}
draw();
}
function canvasMouseDown(ev) {
canvasIsMouseDown = true;
var x = ev.pageX - this.offsetLeft;
var y = ev.pageY - this.offsetTop;
pointIndex = -1;
var dist;
for (var i = 0; i < points.length; i++) {
dist = Math.abs(Math.sqrt(Math.pow((x - points[i].x), 2) + Math.pow((y - points[i].y), 2)));
if (dist <= radius) {
pointIndex = i;
break;
}
}
}
function canvasMouseUp(ev) {
canvasIsMouseDown = false;
}
function draw() {
ctx.clearRect(0, 0, canvas.width, canvas.height);
ctx.beginPath();
ctx.moveTo(points[0].x, points[0].y);
for (var i = 0; i < points.length; i++) {
ctx.lineTo(points[i].x, points[i].y);
}
ctx.closePath();
ctx.stroke();
for (var i = 0; i < points.length; i++) {
ctx.beginPath();
ctx.arc(points[i].x, points[i].y, radius * 2, 0, Math.PI * 2);
ctx.stroke();
}
}
document.addEventListener("DOMContentLoaded", start);
<canvas id="cnPolygon" width="500" height="300" style="border:solid 1px silver"></canvas>
What this does is calculate the angle between two given points and applies a force based on that angle and the distance delta. The force applied is multiplied by the stiffness.
This has to be done forwards (point A -> point B) and backwards (point A <- point B) in order to account for the differences between the last to first point in the chain.
NOTE this is not 100% accurate. The accuracy can be increased by the iterations count, but as #bhspencer already pointed out, there are cases where this is impossible, simply because of geometry.

Why circles are vibrating on collision (Canvas)

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>

Canvas Fade Out Particles

I'm a canvas beginner, sorry if this is a trivial question. How can I make the fireworks in my work fade out once they've exploded?
https://jsfiddle.net/ccwhryvv/
var SCREEN_WIDTH = window.innerWidth,
SCREEN_HEIGHT = window.innerHeight,
mousePos = {
x: 400,
y: 300
},
// create canvas
canvas = document.createElement('canvas'),
context = canvas.getContext('2d'),
particles = [],
rockets = [],
MAX_PARTICLES = 400,
colorCode = 0;
// init
$(document).ready(function() {
$('#content')[0].appendChild(canvas);
canvas.width = SCREEN_WIDTH;
canvas.height = SCREEN_HEIGHT;
setInterval(launch, 800);
setInterval(loop, 1000 / 50);
});
// update mouse position
$(document).mousemove(function(e) {
e.preventDefault();
mousePos = {
x: e.clientX,
y: e.clientY
};
});
// launch more rockets!!!
$(document).mousedown(function(e) {
for (var i = 0; i < 5; i++) {
launchFrom(Math.random() * SCREEN_WIDTH * 2 / 3 + SCREEN_WIDTH / 6);
}
});
function launch() {
launchFrom(SCREEN_WIDTH / 2);
}
function launchFrom(x) {
if (rockets.length < 10) {
var rocket = new Rocket(x);
rocket.explosionColor = Math.floor(Math.random() * 360 / 10) * 10;
rocket.vel.y = Math.random() * -3 - 4;
rocket.vel.x = Math.random() * 6 - 3;
rocket.size = 8;
rocket.shrink = 0.999;
rocket.gravity = 0.01;
rockets.push(rocket);
}
}
function loop() {
// update screen size
if (SCREEN_WIDTH != window.innerWidth) {
canvas.width = SCREEN_WIDTH = window.innerWidth;
}
if (SCREEN_HEIGHT != window.innerHeight) {
canvas.height = SCREEN_HEIGHT = window.innerHeight;
}
// clear canvas
context.fillStyle = "rgba(0, 0, 0, 0.0)";
context.fillRect(0, 0, SCREEN_WIDTH, SCREEN_HEIGHT);
var existingRockets = [];
for (var i = 0; i < rockets.length; i++) {
// update and render
rockets[i].update();
rockets[i].render(context);
// calculate distance with Pythagoras
var distance = Math.sqrt(Math.pow(mousePos.x - rockets[i].pos.x, 2) + Math.pow(mousePos.y - rockets[i].pos.y, 2));
// random chance of 1% if rockets is above the middle
var randomChance = rockets[i].pos.y < (SCREEN_HEIGHT * 2 / 3) ? (Math.random() * 100 <= 1) : false;
/* Explosion rules
- 80% of screen
- going down
- close to the mouse
- 1% chance of random explosion
*/
if (rockets[i].pos.y < SCREEN_HEIGHT / 5 || rockets[i].vel.y >= 0 || distance < 50 || randomChance) {
rockets[i].explode();
} else {
existingRockets.push(rockets[i]);
}
}
rockets = existingRockets;
var existingParticles = [];
for (var i = 0; i < particles.length; i++) {
particles[i].update();
// render and save particles that can be rendered
if (particles[i].exists()) {
particles[i].render(context);
existingParticles.push(particles[i]);
}
}
// update array with existing particles - old particles should be garbage collected
particles = existingParticles;
while (particles.length > MAX_PARTICLES) {
particles.shift();
}
}
function Particle(pos) {
this.pos = {
x: pos ? pos.x : 0,
y: pos ? pos.y : 0
};
this.vel = {
x: 0,
y: 0
};
this.shrink = .97;
this.size = 2;
this.resistance = 1;
this.gravity = 0;
this.flick = false;
this.alpha = 1;
this.fade = 0;
this.color = 0;
}
Particle.prototype.update = function() {
// apply resistance
this.vel.x *= this.resistance;
this.vel.y *= this.resistance;
// gravity down
this.vel.y += this.gravity;
// update position based on speed
this.pos.x += this.vel.x;
this.pos.y += this.vel.y;
// shrink
this.size *= this.shrink;
// fade out
this.alpha -= this.fade;
};
Particle.prototype.render = function(c) {
if (!this.exists()) {
return;
}
c.save();
c.globalCompositeOperation = 'lighter';
var x = this.pos.x,
y = this.pos.y,
r = this.size / 2;
var gradient = c.createRadialGradient(x, y, 0.1, x, y, r);
gradient.addColorStop(0.1, "rgba(255,255,255," + this.alpha + ")");
gradient.addColorStop(0.8, "hsla(" + this.color + ", 100%, 50%, " + this.alpha + ")");
gradient.addColorStop(1, "hsla(" + this.color + ", 100%, 50%, 0.1)");
c.fillStyle = gradient;
c.beginPath();
c.arc(this.pos.x, this.pos.y, this.flick ? Math.random() * this.size : this.size, 0, Math.PI * 2, true);
c.closePath();
c.fill();
c.restore();
};
Particle.prototype.exists = function() {
return this.alpha >= 0.1 && this.size >= 1;
};
function Rocket(x) {
Particle.apply(this, [{
x: x,
y: SCREEN_HEIGHT}]);
this.explosionColor = 0;
}
Rocket.prototype = new Particle();
Rocket.prototype.constructor = Rocket;
Rocket.prototype.explode = function() {
var count = Math.random() * 10 + 80;
for (var i = 0; i < count; i++) {
var particle = new Particle(this.pos);
var angle = Math.random() * Math.PI * 2;
// emulate 3D effect by using cosine and put more particles in the middle
var speed = Math.cos(Math.random() * Math.PI / 2) * 15;
particle.vel.x = Math.cos(angle) * speed;
particle.vel.y = Math.sin(angle) * speed;
particle.size = 10;
particle.gravity = 0.2;
particle.resistance = 0.92;
particle.shrink = Math.random() * 0.05 + 0.93;
particle.flick = true;
particle.color = this.explosionColor;
particles.push(particle);
}
};
Rocket.prototype.render = function(c) {
if (!this.exists()) {
return;
}
c.save();
c.globalCompositeOperation = 'lighter';
var x = this.pos.x,
y = this.pos.y,
r = this.size / 2;
var gradient = c.createRadialGradient(x, y, 0.1, x, y, r);
gradient.addColorStop(0.1, "rgba(255, 255, 255 ," + this.alpha + ")");
// gradient.addColorStop(1, "rgba(255, 255, 255, " + this.alpha + ")");
gradient.addColorStop(1, "rgba(255, 255, 255, 0)");
c.fillStyle = gradient;
c.beginPath();
c.arc(this.pos.x, this.pos.y, this.flick ? Math.random() * this.size / 2 + this.size / 2 : this.size, 0, Math.PI * 2, true);
c.closePath();
c.fill();
c.restore();
};
Thank you!
Creating gradients is expensive -- especially inside an animation loop.
It's more efficient is to pre-create a spritesheet of gradient exploding sprites before your app starts:
Create an in-memory canvas to act as a spritesheet,
Choose a dozen standard colors for you explosions.
Create gradient sprites in sequential order of exploding.
var canvas=document.getElementById("canvas");
var ctx=canvas.getContext("2d");
var cw=canvas.width;
var ch=canvas.height;
var ss=makeSpritesheet(10,15);
ctx.fillStyle='navy';
ctx.fillRect(0,0,cw,ch);
ctx.drawImage(ss,0,0);
function makeSpritesheet(maxRadius,colorCount){
var c=document.createElement('canvas');
var ctx=c.getContext('2d');
var spacing=maxRadius*2.5;
c.width=spacing*maxRadius;
c.height=spacing*(colorCount+1);
for(var colors=0;colors<colorCount;colors++){
var y=(colors)*spacing+spacing/2;
var color = parseInt(colors/colorCount*360);
for(r=2;r<=maxRadius;r++){
var x=(r-1)*spacing;
var gradient = ctx.createRadialGradient(x, y, 0, x, y, r);
gradient.addColorStop(0.2, "white");
gradient.addColorStop(0.7, 'hsla('+color+', 100%, 50%, 1)');
gradient.addColorStop(1.0, "rgba(0,0,0,0)");
ctx.fillStyle = gradient;
ctx.beginPath();
ctx.arc(x,y,r,0,Math.PI*2);
ctx.closePath();
ctx.fill();
}
}
return(c);
}
body{ background-color:white; }
#canvas{border:1px solid red; }
<canvas id="canvas" width=640 height=512></canvas>
During Animation, draw the sprites from the spritesheet to your canvas.
Fade the opacity of each sprite by setting context.globalAlpha before drawing each sprite.

Method for drawing circles in a pyramid pattern

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;

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