I am trying to get this snowflake design to be "drawn out" using a "timer" on javascript. In one of the examples, this is how a circle is drawn:
http://jsfiddle.net/avanhout13/9opengv7/1/
var t = 0;
var c = document.getElementById("myCanvas");
var R = c.width/2;
var ctx = c.getContext("2d");
function doDrawing() {
t = 0;
// Clear the Canvas
ctx.clear();
// Create a random color
var timesRun = 0;
var color = '#'+Math.floor(Math.random()*16777215).toString(16);
// Initial x and y
var x = R+R*Math.cos(0);
var y = R+R*Math.sin(0);
// Start the Drawing
ctx.beginPath();
ctx.strokeStyle = color;
ctx.moveTo(x,y);
//Use the timer to create drawing
var interval = setInterval(function(){
timesRun += 1;
if(timesRun === 65){
clearInterval(interval); }
drawCircle();}, 20);
}
function drawCircle()
{
t += 0.1;
x = Math.floor(R+R*Math.cos(t));
y = Math.floor(R+R*Math.sin(t));
ctx.lineTo(x,y);
ctx.stroke();
}
CanvasRenderingContext2D.prototype.clear =
CanvasRenderingContext2D.prototype.clear || function (preserveTransform) {
if (preserveTransform) {
this.save();
this.setTransform(1, 0, 0, 1, 0, 0);
}
this.clearRect(0, 0, this.canvas.width, this.canvas.height);
if (preserveTransform) {
this.restore();
}
};
This is the snowflake design. I want to do a similar drawing technique but cannot seem to figure out how to get it to actively be drawn when the "draw" button is clicked.
https://jsfiddle.net/avanhout13/g8xs9Ljf/
let canvas = document.getElementById('snowflake'),
ctx = canvas.getContext('2d'),
maxLevel = 2,
branches = 7;
canvas.width = 1000;
canvas.height = 1000;
ctx.translate(canvas.width / 2, canvas.height / 2);
let angle = Math.PI * 2 + Math.random();
for (let i = 0; i < 6; i++) {
drawLine(0);
ctx.rotate(Math.PI * 2 / 6);
}
function drawLine(level) {
if (level > maxLevel) return;
ctx.strokeStyle = "black";
ctx.lineWidth = 3;
ctx.beginPath();
ctx.moveTo(0, 0);
ctx.lineTo(200, 0);
ctx.stroke();
for (let i = 1; i < branches + 1; i++) {
ctx.save();
ctx.translate(200 * i / (branches + 1), 0);
ctx.save();
ctx.rotate(angle);
drawLine(level + 1);
ctx.restore();
ctx.save();
ctx.rotate(-angle);
drawLine(level + 1);
ctx.restore();
ctx.restore();
}
}
Any idea of how to get this to draw? Thank you.
Make sure that your js code isn't loaded in file type, otherwise you can not use the function by input it's name in the html tag directly.
In JSFiddle, it could be change by the select label on the top left corner of your js window.
Hope this could be help.
<html lane='en'>
<head>
<meta charset='utf-8'>
<title> Snowflake Spirograph</title>
</head>
<body>
<button onclick="draw()">Start Drawing</button>
<canvas id="snowflake" width="1000" height="1000"></canvas>
</body>
</html>
const canvas = document.getElementById('snowflake');
const ctx = canvas.getContext('2d');
const maxLevel = 2;
const branches = 7;
ctx.translate(canvas.width / 2, canvas.height / 2);
let angle = Math.PI * 2 + Math.random();
function draw() {
for (let i = 0; i < 6; i++) {
drawLine(1);
ctx.rotate(Math.PI * 2 / 6);
}
}
function drawLine(level) {
if (level > maxLevel) return;
ctx.strokeStyle = "black";
ctx.lineWidth = 3;
ctx.beginPath();
ctx.moveTo(0, 0);
ctx.lineTo(200, 0);
ctx.stroke();
for (let i = 1; i < branches + 1; i++) {
ctx.save();
ctx.translate(200 * i / (branches + 1), 0);
ctx.save();
ctx.rotate(angle);
drawLine(level + 1);
ctx.restore();
ctx.save();
ctx.rotate(-angle);
drawLine(level + 1);
ctx.restore();
ctx.restore();
}
}
Sorry for the confusing title, I don't know how to succinctly describe my question.
I'm drawing an ellipse on a canvas element using javascript and I'm trying to figure out how to detect if the mouse is clicked inside of the ellipse or not. The way I'm trying to do this is by comparing the distance from the center of the ellipse to the mouse to the radius of the ellipse at the same angle as the mouse click. Here's a terrible picture representing what I just said if it's still confusing:
Obviously this isn't working, otherwise I wouldn't be asking this, so below is a picture of the computed radius line (in red) and the mouse line (in blue). In this picture, the mouse has been clicked at a 45° angle to the center of the ellipse and I've calculated that the radius line is being drawn at about a 34.99° angle.
And below is the calculation code:
//This would be the blue line in the picture above
var mouseToCenterDistance = distanceTo(centerX, centerY, mouseX, mouseY);
var angle = Math.acos((mouseX - centerX) / mouseToCenterDistance);
var radiusPointX = (radiusX * Math.cos(angle)) + centerX;
var radiusPointY = (radiusY * Math.sin(-angle)) + centerY;
//This would be the red line in the picture above
var radius = distanceTo(centerX, centerY, radiusPointX, radiusPointY);
var clickedInside = mouseToCenterDistance <= radius;
I'm really not sure why this isn't working, I've been staring at this math forever and it seems correct. Is it correct and there's something about drawing on the canvas that's making it not work? Please help!
Ellipse line intercept
Finding the intercept includes solving if the point is inside.
If it is the ellipse draw via the 2D context the solution is as follows
// defines the ellipse
var cx = 100; // center
var cy = 100;
var r1 = 20; // radius 1
var r2 = 100; // radius 2
var ang = 1; // angle in radians
// rendered with
ctx.beginPath();
ctx.ellipse(cx,cy,r1,r2,ang,0,Math.PI * 2,true)
ctx.stroke()
To find the point on the ellipse that intersects the line from the center to x,y. To solve I normalise the ellipse so that it is a circle (well the line is moved so that the ellipse is a circle in its coordinate space).
var x = 200;
var y = 200;
var ratio = r1 / r2; // need the ratio between the two radius
// get the vector from the ellipse center to end of line
var dx = x - cx;
var dy = y - cy;
// get the vector that will normalise the ellipse rotation
var vx = Math.cos(-ang);
var vy = Math.sin(-ang);
// use that vector to rotate the line
var ddx = dx * vx - dy * vy;
var ddy = (dx * vy + dy * vx) * ratio; // lengthen or shorten dy
// get the angle to the line in normalise circle space.
var c = Math.atan2(ddy,ddx);
// get the vector along the ellipse x axis
var eAx = Math.cos(ang);
var eAy = Math.sin(ang);
// get the intercept of the line and the normalised ellipse
var nx = Math.cos(c) * r1;
var ny = Math.sin(c) * r2;
// rotate the intercept to the ellipse space
var ix = nx * eAx - ny * eAy
var iy = nx * eAy + ny * eAx
// cx,cy to ix ,iy is from the center to the ellipse circumference
The procedure can be optimised but for now that will solve the problem as presented.
Is point inside
Then to determine if the point is inside just compare the distances of the mouse and the intercept point.
var x = 200; // point to test
var y = 200;
// get the vector from the ellipse center to point to test
var dx = x - cx;
var dy = y - cy;
// get the vector that will normalise the ellipse rotation
var vx = Math.cos(ang);
var vy = Math.sin(ang);
// use that vector to rotate the line
var ddx = dx * vx + dy * vy;
var ddy = -dx * vy + dy * vx;
if( 1 >= (ddx * ddx) / (r1 * r1) + (ddy * ddy) / (r2 * r2)){
// point on circumference or inside ellipse
}
Example use of method.
function path(path){
ctx.beginPath();
var i = 0;
ctx.moveTo(path[i][0],path[i++][1]);
while(i < path.length){
ctx.lineTo(path[i][0],path[i++][1]);
}
if(close){
ctx.closePath();
}
ctx.stroke();
}
function strokeCircle(x,y,r){
ctx.beginPath();
ctx.moveTo(x + r,y);
ctx.arc(x,y,r,0,Math.PI * 2);
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);
var cx = w/2;
var cy = h/2;
var r1 = Math.abs(Math.sin(globalTime/ 4000) * w / 4);
var r2 = Math.abs(Math.sin(globalTime/ 4300) * h / 4);
var ang = globalTime / 1500;
// find the intercept from ellipse center to mouse on the ellipse
var ratio = r1 / r2
var dx = mouse.x - cx;
var dy = mouse.y - cy;
var dist = Math.hypot(dx,dy);
var ex = Math.cos(-ang);
var ey = Math.sin(-ang);
var c = Math.atan2((dx * ey + dy * ex) * ratio, dx * ex - dy * ey);
var nx = Math.cos(c) * r1;
var ny = Math.sin(c) * r2;
var ix = nx * ex + ny * ey;
var iy = -nx * ey + ny * ex;
var dist = Math.hypot(dx,dy);
var dist2Inter = Math.hypot(ix,iy);
ctx.strokeStyle = "Blue";
ctx.lineWidth = 4;
ctx.beginPath();
ctx.ellipse(cx,cy,r1,r2,ang,0,Math.PI * 2,true)
ctx.stroke();
if(dist2Inter > dist){
ctx.fillStyle = "#7F7";
ctx.globalAlpha = 0.5;
ctx.fill();
ctx.globalAlpha = 1;
}
// Display the intercept
ctx.strokeStyle = "black";
ctx.lineWidth = 2;
path([[cx,cy],[mouse.x,mouse.y]])
ctx.strokeStyle = "red";
ctx.lineWidth = 5;
path([[cx,cy],[cx + ix,cy+iy]])
ctx.strokeStyle = "red";
ctx.lineWidth = 4;
strokeCircle(cx + ix, cy + iy, 6)
ctx.fillStyle = "white";
ctx.fill();
ctx.strokeStyle = "red";
ctx.lineWidth = 4;
strokeCircle(cx, cy, 6)
ctx.fillStyle = "white";
ctx.fill();
ctx.strokeStyle = "black";
ctx.lineWidth = 2;
strokeCircle(mouse.x, mouse.y, 4)
ctx.fillStyle = "white";
ctx.fill();
}
/** SimpleFullCanvasMouse.js begin **/
//==============================================================================
// Boilerplate code from here down and not related to 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
requestAnimationFrame(update);
}
setTimeout(function(){
resizeCanvas();
mouse.start(canvas, true);
//mouse.crashRecover = done;
window.addEventListener("resize", resizeCanvas);
requestAnimationFrame(update);
},0);
})();
/** SimpleFullCanvasMouse.js end **/
If you have an ellipse of the form (x-x0)2/a2 + (y-y0)2/b2 = 1, then a point (x, y) is inside the ellipse if and only if (x-x0)2/a2 + (y-y0)2/b2 < 1. You can just test that inequality to see if the mouse is inside the ellipse.
To be able to draw a line to the edge of the ellipse: get the theta of the mouse with atan2 (don't use acos, you'll get incorrect results in quadrants III & IV), use the polar equation of the ellipse to solve for r, then convert back to rectangular coordinates and draw.
I'm attempting to create a simple draw/paint programme using html5 canvas and plain javascript. I've got it working ok, but when drawing and moving the mouse too fast the line disconnects and I just end up with a line of dots - how can I make this a smooth continuous line?
Advice would be much appreciated! I'm quite new to JS so code examples would be really useful, thanks in advance.
Current JS is:
var canvas, ctx
var mouseX, mouseY, mouseDown = 0
function draw(ctx,x,y,size) {
ctx.fillStyle = "#000000"
ctx.beginPath()
ctx.arc(x, y, size, 0, Math.PI*2, true)
ctx.closePath()
ctx.fill()
}
function clearCanvas(canvas,ctx) {
ctx.clearRect(0, 0, canvas.width, canvas.height)
}
function onMouseDown() {
mouseDown = 1
draw(ctx, mouseX, mouseY, 2)
}
function onMouseUp() {
mouseDown = 0
}
function onMouseMove(e) {
getMousePos(e)
if (mouseDown == 1) {
draw(ctx, mouseX, mouseY, 2)
}
}
function getMousePos(e) {
if (!e)
var e = event
if (e.offsetX) {
mouseX = e.offsetX
mouseY = e.offsetY
}
else if (e.layerX) {
mouseX = e.layerX
mouseY = e.layerY
}
}
function init() {
canvas = document.getElementById('sketchpad')
ctx = canvas.getContext('2d')
canvas.addEventListener('mousedown', onMouseDown, false)
canvas.addEventListener('mousemove', onMouseMove, false)
window.addEventListener('mouseup', onMouseUp, false)
}
init();
<canvas id="sketchpad" width="500" height="500"></canvas>
Drawing a smooth curve with the mouse.
Sadly it is not that easy if you wish to stay true to the artists intended line.
It involves recording the whole mouse stroke. When the stroke is complete, reduce the number of points to the detail limit (set by artist) then apply a bezier smoothing function on the remaining points.
It can be done as the stroke is drawn but for some devices this can become too much if the line becomes very long. As the line detail reduction looks at all points when showing the smoothed line live some people dont like the way it slightly changes as the line gets longer.
Demo
The code below demonstrates a solution I have found useful.
Use the left button to draw with smoothing done one button release.
Use the right button to draw with live smoothing (blue line).
Middle mouse button click to clear.
Use the two sliders at the top to set the amount of smoothing, and the amount of detail. Left click to drag out a stroke, the raw line is shown. When the mouse is released the line is then simplified, smoothed, and added to the background image.
var canvas = document.getElementById("canV");
var ctx = canvas.getContext("2d");
// mouse stuff
var mouse = {
x:0,
y:0,
buttonLastRaw:0, // user modified value
buttonRaw:0,
buttons:[1,2,4,6,5,3], // masks for setting and clearing button raw bits;
};
function mouseMove(event){
mouse.x = event.offsetX; mouse.y = event.offsetY;
if(mouse.x === undefined){ mouse.x = event.clientX; mouse.y = event.clientY;}
if(event.type === "mousedown"){ mouse.buttonRaw |= mouse.buttons[event.which-1];
}else if(event.type === "mouseup"){mouse.buttonRaw &= mouse.buttons[event.which+2];
}else if(event.type === "mouseout"){ mouse.buttonRaw = 0; mouse.over = false;
}else if(event.type === "mouseover"){ mouse.over = true; }
event.preventDefault();
}
canvas.addEventListener('mousemove',mouseMove);
canvas.addEventListener('mousedown',mouseMove);
canvas.addEventListener('mouseup' ,mouseMove);
canvas.addEventListener('mouseout' ,mouseMove);
canvas.addEventListener('mouseover' ,mouseMove);
canvas.addEventListener("contextmenu", function(e){ e.preventDefault();}, false);
// Line simplification based on
// the Ramer–Douglas–Peucker algorithm
// referance https://en.wikipedia.org/wiki/Ramer%E2%80%93Douglas%E2%80%93Peucker_algorithm
// points are and array of arrays consisting of [[x,y],[x,y],...,[x,y]]
// length is in pixels and is the square of the actual distance.
// returns array of points of the same form as the input argument points.
var simplifyLineRDP = function(points, length) {
var simplify = function(start, end) { // recursize simplifies points from start to end
var maxDist, index, i, xx , yy, dx, dy, ddx, ddy, p1, p2, p, t, dist, dist1;
p1 = points[start];
p2 = points[end];
xx = p1[0];
yy = p1[1];
ddx = p2[0] - xx;
ddy = p2[1] - yy;
dist1 = (ddx * ddx + ddy * ddy);
maxDist = length;
for (var i = start + 1; i < end; i++) {
p = points[i];
if (ddx !== 0 || ddy !== 0) {
t = ((p[0] - xx) * ddx + (p[1] - yy) * ddy) / dist1;
if (t > 1) {
dx = p[0] - p2[0];
dy = p[1] - p2[1];
} else
if (t > 0) {
dx = p[0] - (xx + ddx * t);
dy = p[1] - (yy + ddy * t);
} else {
dx = p[0] - xx;
dy = p[1] - yy;
}
}else{
dx = p[0] - xx;
dy = p[1] - yy;
}
dist = dx * dx + dy * dy
if (dist > maxDist) {
index = i;
maxDist = dist;
}
}
if (maxDist > length) { // continue simplification while maxDist > length
if (index - start > 1){
simplify(start, index);
}
newLine.push(points[index]);
if (end - index > 1){
simplify(index, end);
}
}
}
var end = points.length - 1;
var newLine = [points[0]];
simplify(0, end);
newLine.push(points[end]);
return newLine;
}
// This is my own smoothing method
// It creates a set of bezier control points either 2nd order or third order
// bezier curves.
// points: list of points
// cornerThres: when to smooth corners and represents the angle between to lines.
// When the angle is smaller than the cornerThres then smooth.
// match: if true then the control points will be balanced.
// Function will make a copy of the points
var smoothLine = function(points,cornerThres,match){ // adds bezier control points at points if lines have angle less than thres
var p1, p2, p3, dist1, dist2, x, y, endP, len, angle, i, newPoints, aLen, closed, bal, cont1, nx1, nx2, ny1, ny2, np;
function dot(x, y, xx, yy) { // get do product
// dist1,dist2,nx1,nx2,ny1,ny2 are the length and normals and used outside function
// normalise both vectors
dist1 = Math.sqrt(x * x + y * y); // get length
if (dist1 > 0) { // normalise
nx1 = x / dist1 ;
ny1 = y / dist1 ;
}else {
nx1 = 1; // need to have something so this will do as good as anything
ny1 = 0;
}
dist2 = Math.sqrt(xx * xx + yy * yy);
if (dist2 > 0) {
nx2 = xx / dist2;
ny2 = yy / dist2;
}else {
nx2 = 1;
ny2 = 0;
}
return Math.acos(nx1 * nx2 + ny1 * ny2 ); // dot product
}
newPoints = []; // array for new points
aLen = points.length;
if(aLen <= 2){ // nothing to if line too short
for(i = 0; i < aLen; i ++){ // ensure that the points are copied
newPoints.push([points[i][0],points[i][1]]);
}
return newPoints;
}
p1 = points[0];
endP =points[aLen-1];
i = 0; // start from second poitn if line not closed
closed = false;
len = Math.hypot(p1[0]- endP[0], p1[1]-endP[1]);
if(len < Math.SQRT2){ // end points are the same. Join them in coordinate space
endP = p1;
i = 0; // start from first point if line closed
p1 = points[aLen-2];
closed = true;
}
newPoints.push([points[i][0],points[i][1]])
for(; i < aLen-1; i++){
p2 = points[i];
p3 = points[i + 1];
angle = Math.abs(dot(p2[0] - p1[0], p2[1] - p1[1], p3[0] - p2[0], p3[1] - p2[1]));
if(dist1 !== 0){ // dist1 and dist2 come from dot function
if( angle < cornerThres*3.14){ // bend it if angle between lines is small
if(match){
dist1 = Math.min(dist1,dist2);
dist2 = dist1;
}
// use the two normalized vectors along the lines to create the tangent vector
x = (nx1 + nx2) / 2;
y = (ny1 + ny2) / 2;
len = Math.sqrt(x * x + y * y); // normalise the tangent
if(len === 0){
newPoints.push([p2[0],p2[1]]);
}else{
x /= len;
y /= len;
if(newPoints.length > 0){
var np = newPoints[newPoints.length-1];
np.push(p2[0]-x*dist1*0.25);
np.push(p2[1]-y*dist1*0.25);
}
newPoints.push([ // create the new point with the new bezier control points.
p2[0],
p2[1],
p2[0]+x*dist2*0.25,
p2[1]+y*dist2*0.25
]);
}
}else{
newPoints.push([p2[0],p2[1]]);
}
}
p1 = p2;
}
if(closed){ // if closed then copy first point to last.
p1 = [];
for(i = 0; i < newPoints[0].length; i++){
p1.push(newPoints[0][i]);
}
newPoints.push(p1);
}else{
newPoints.push([points[points.length-1][0],points[points.length-1][1]]);
}
return newPoints;
}
// creates a drawable image
var createImage = function(w,h){
var image = document.createElement("canvas");
image.width = w;
image.height =h;
image.ctx = image.getContext("2d");
return image;
}
// draws the smoothed line with bezier control points.
var drawSmoothedLine = function(line){
var i,p;
ctx.beginPath()
ctx.moveTo(line[0][0],line[0][1])
for(i = 0; i < line.length-1; i++){
p = line[i];
p1 = line[i+1]
if(p.length === 2){ // linear
ctx.lineTo(p[0],p[1])
}else
if(p.length === 4){ // bezier 2nd order
ctx.quadraticCurveTo(p[2],p[3],p1[0],p1[1]);
}else{ // bezier 3rd order
ctx.bezierCurveTo(p[2],p[3],p[4],p[5],p1[0],p1[1]);
}
}
if(p.length === 2){
ctx.lineTo(p1[0],p1[1])
}
ctx.stroke();
}
// smoothing settings
var liveSmooth;
var lineSmooth = {};
lineSmooth.lengthMin = 8; // square of the pixel length
lineSmooth.angle = 0.8; // angle threshold
lineSmooth.match = false; // not working.
// back buffer to save the canvas allowing the new line to be erased
var backBuffer = createImage(canvas.width,canvas.height);
var currentLine = [];
mouse.lastButtonRaw = 0; // add mouse last incase not there
ctx.lineWidth = 3;
ctx.lineJoin = "round";
ctx.lineCap = "round";
ctx.strokeStyle = "black";
ctx.clearRect(0,0,canvas.width,canvas.height);
var drawing = false; // if drawing
var input = false; // if menu input
var smoothIt = false; // flag to allow feedback that smoothing is happening as it takes some time.
function draw(){
// if not drawing test for menu interaction and draw the menus
if(!drawing){
if(mouse.x < 203 && mouse.y < 24){
if(mouse.y < 13){
if(mouse.buttonRaw === 1){
ctx.clearRect(3,3,200,10);
lineSmooth.angle = (mouse.x-3)/200;
input = true;
}
}else
if(mouse.buttonRaw === 1){
ctx.clearRect(3,14,200,10);
lineSmooth.lengthMin = (mouse.x-3)/10;
input = true;
}
canvas.style.cursor = "pointer";
}else{
canvas.style.cursor = "crosshair";
}
if(mouse.buttonRaw === 0 && input){
input = false;
mouse.lastButtonRaw = 0;
}
ctx.lineWidth = 0.5;
ctx.fillStyle = "red";
ctx.clearRect(3,3,200,10);
ctx.clearRect(3,14,200,10);
ctx.fillRect(3,3,lineSmooth.angle*200,10);
ctx.fillRect(3,14,lineSmooth.lengthMin*10,10);
ctx.textAlign = "left";
ctx.textBaseline = "top";
ctx.fillStyle = "#000"
ctx.strokeRect(3,3,200,10);
ctx.fillText("Smooth "+(lineSmooth.angle * (180 / Math.PI)).toFixed(0)+"deg",5,2)
ctx.strokeRect(3,14,200,10);
ctx.fillText("Detail "+lineSmooth.lengthMin.toFixed(0) + "pixels",5,13);
}else{
canvas.style.cursor = "crosshair";
}
if(!input){
ctx.lineWidth = 3;
if(mouse.buttonRaw === 4 && mouse.lastButtonRaw === 0){
currentLine = [];
drawing = true;
backBuffer.ctx.clearRect(0,0,canvas.width,canvas.height);
backBuffer.ctx.drawImage(canvas,0,0);
currentLine.push([mouse.x,mouse.y])
}else
if(mouse.buttonRaw === 4){
var lp = currentLine[currentLine.length-1]; // get last point
// dont record point if no movement
if(mouse.x !== lp[0] || mouse.y !== lp[1] ){
currentLine.push([mouse.x,mouse.y]);
ctx.beginPath();
ctx.moveTo(lp[0],lp[1])
ctx.lineTo(mouse.x,mouse.y);
ctx.stroke();
liveSmooth = smoothLine(
simplifyLineRDP(
currentLine,
lineSmooth.lengthMin
),
lineSmooth.angle,
lineSmooth.match
);
ctx.clearRect(0,0,canvas.width,canvas.height);
ctx.drawImage(backBuffer,0,0);
ctx.strokeStyle = "Blue";
drawSmoothedLine(liveSmooth );
ctx.strokeStyle = "black";
}
}else
if(mouse.buttonRaw === 0 && mouse.lastButtonRaw === 4){
ctx.textAlign = "center"
ctx.fillStyle = "red"
ctx.fillText("Smoothing...",canvas.width/2,canvas.height/5);
smoothIt = true;
}else
if(smoothIt){
smoothIt = false;
var newLine = smoothLine(
simplifyLineRDP(
currentLine,
lineSmooth.lengthMin
),
lineSmooth.angle,
lineSmooth.match
);
ctx.clearRect(0,0,canvas.width,canvas.height);
ctx.drawImage(backBuffer,0,0);
drawSmoothedLine(newLine);
drawing = false;
}
if(mouse.buttonRaw === 1 && mouse.lastButtonRaw === 0){
currentLine = [];
drawing = true;
backBuffer.ctx.clearRect(0,0,canvas.width,canvas.height);
backBuffer.ctx.drawImage(canvas,0,0);
currentLine.push([mouse.x,mouse.y])
}else
if(mouse.buttonRaw === 1){
var lp = currentLine[currentLine.length-1]; // get last point
// dont record point if no movement
if(mouse.x !== lp[0] || mouse.y !== lp[1] ){
currentLine.push([mouse.x,mouse.y]);
ctx.beginPath();
ctx.moveTo(lp[0],lp[1])
ctx.lineTo(mouse.x,mouse.y);
ctx.stroke();
}
}else
if(mouse.buttonRaw === 0 && mouse.lastButtonRaw === 1){
ctx.textAlign = "center"
ctx.fillStyle = "red"
ctx.fillText("Smoothing...",canvas.width/2,canvas.height/5);
smoothIt = true;
}else
if(smoothIt){
smoothIt = false;
var newLine = smoothLine(
simplifyLineRDP(
currentLine,
lineSmooth.lengthMin
),
lineSmooth.angle,
lineSmooth.match
);
ctx.clearRect(0,0,canvas.width,canvas.height);
ctx.drawImage(backBuffer,0,0);
drawSmoothedLine(newLine);
drawing = false;
}
}
// middle button clear
if(mouse.buttonRaw === 2){
ctx.clearRect(0,0,canvas.width,canvas.height);
}
mouse.lastButtonRaw = mouse.buttonRaw;
requestAnimationFrame(draw);
}
draw();
.canC { width:1000px; height:500px; border:1px black solid;}
<canvas class="canC" id="canV" width=1000 height=500></canvas>
You could save the last position and draw a line between the last point and the actual point.
if (lastX && lastY && (x !== lastX || y !== lastY)) {
ctx.fillStyle = "#000000";
ctx.lineWidth = 2 * size;
ctx.beginPath();
ctx.moveTo(lastX, lastY);
ctx.lineTo(x, y);
ctx.stroke();
// ...
lastX = x;
lastY = y;
}
On mouseup event set the two variables to zero.
var canvas, ctx
var mouseX, mouseY, mouseDown = 0,
lastX, lastY;
function draw(ctx,x,y,size) {
if (lastX && lastY && (x !== lastX || y !== lastY)) {
ctx.fillStyle = "#000000";
ctx.lineWidth = 2 * size;
ctx.beginPath();
ctx.moveTo(lastX, lastY);
ctx.lineTo(x, y);
ctx.stroke();
}
ctx.fillStyle = "#000000";
ctx.beginPath();
ctx.arc(x, y, size, 0, Math.PI*2, true);
ctx.closePath();
ctx.fill();
lastX = x;
lastY = y;
}
function clearCanvas(canvas,ctx) {
ctx.clearRect(0, 0, canvas.width, canvas.height)
}
function onMouseDown() {
mouseDown = 1
draw(ctx, mouseX, mouseY, 2)
}
function onMouseUp() {
mouseDown = 0;
lastX = 0;
lastY = 0;
}
function onMouseMove(e) {
getMousePos(e)
if (mouseDown == 1) {
draw(ctx, mouseX, mouseY, 2)
}
}
function getMousePos(e) {
if (!e)
var e = event
if (e.offsetX) {
mouseX = e.offsetX
mouseY = e.offsetY
}
else if (e.layerX) {
mouseX = e.layerX
mouseY = e.layerY
}
}
function init() {
canvas = document.getElementById('sketchpad')
ctx = canvas.getContext('2d')
canvas.addEventListener('mousedown', onMouseDown, false)
canvas.addEventListener('mousemove', onMouseMove, false)
window.addEventListener('mouseup', onMouseUp, false)
}
init();
<canvas id="sketchpad" width="600" height="300"></canvas>
Good question! And I recommend you a site https://developer.mozilla.org/zh-CN/docs/Web/API/Canvas_API to learn more canvas API.
I think using lineTo is better than arc.So I hope this code will help you.
var canvas, ctx;
var mouseDown = 0, lastX, lastY;
function draw(ctx,x,y) {
ctx.beginPath();
ctx.moveTo(lastX,lastY);
ctx.lineTo(x,y);
ctx.closePath();
ctx.stroke();
}
function clearCanvas(canvas,ctx) {
ctx.clearRect(0, 0, canvas.width, canvas.height)
}
function onMouseDown(e) {
var xy = getMousePos(e);
lastX = xy.mouseX;
lastY = xy.mouseY;
mouseDown = 1;
}
function onMouseUp() {
mouseDown = 0
}
function onMouseMove(e) {
if (mouseDown == 1) {
var xy = getMousePos(e);
draw(ctx, xy.mouseX, xy.mouseY);
lastX = xy.mouseX, lastY = xy.mouseY;
}
}
function getMousePos(e) {
var o = {};
if (!e)
var e = event
if (e.offsetX) {
o.mouseX = e.offsetX
o.mouseY = e.offsetY
}
else if (e.layerX) {
o.mouseX = e.layerX
o.mouseY = e.layerY
}
return o;
}
function init() {
canvas = document.getElementById('sketchpad')
ctx = canvas.getContext('2d')
canvas.addEventListener('mousedown', onMouseDown, false)
canvas.addEventListener('mousemove', onMouseMove, false)
canvas.addEventListener('mouseup', onMouseUp, false)
}
init();
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);
}