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I'm trying to create a hyperdrive effect, like from Star Wars, where the stars have a motion trail. I've gotten as far as creating the motion trail on a single circle, it still looks like the trail is going down in the y direction and not forwards or positive in the z direction.
Also, how could I do this with (many) randomly placed circles as if they were stars?
My code is on jsfiddle (https://jsfiddle.net/5m7x5zxu/) and below:
var canvas = document.querySelector("canvas");
var context = canvas.getContext("2d");
var xPos = 180;
var yPos = 100;
var motionTrailLength = 16;
var positions = [];
function storeLastPosition(xPos, yPos) {
// push an item
positions.push({
x: xPos,
y: yPos
});
//get rid of first item
if (positions.length > motionTrailLength) {
positions.pop();
}
}
function update() {
context.clearRect(0, 0, canvas.width, canvas.height);
for (var i = positions.length-1; i > 0; i--) {
var ratio = (i - 1) / positions.length;
drawCircle(positions[i].x, positions[i].y, ratio);
}
drawCircle(xPos, yPos, "source");
var k=2;
storeLastPosition(xPos, yPos);
// update position
if (yPos > 125) {
positions.pop();
}
else{
yPos += k*1.1;
}
requestAnimationFrame(update);
}
update();
function drawCircle(x, y, r) {
if (r == "source") {
r = 1;
} else {
r*=1.1;
}
context.beginPath();
context.arc(x, y, 3, 0, 2 * Math.PI, true);
context.fillStyle = "rgba(255, 255, 255, " + parseFloat(1-r) + ")";
context.fill();
}
Canvas feedback and particles.
This type of FX can be done many ways.
You could just use a particle systems and draw stars (as lines) moving away from a central point, as the speed increase you increase the line length. When at low speed the line becomes a circle if you set ctx.lineWidth > 1 and ctx.lineCap = "round"
To add to the FX you can use render feedback as I think you have done by rendering the canvas over its self. If you render it slightly larger you get a zoom FX. If you use ctx.globalCompositeOperation = "lighter" you can increase the stars intensity as you speed up to make up for the overall loss of brightness as stars move faster.
Example
I got carried away so you will have to sift through the code to find what you need.
The particle system uses the Point object and a special array called bubbleArray to stop GC hits from janking the animation.
You can use just an ordinary array if you want. The particles are independent of the bubble array. When they have moved outside the screen they are move to a pool and used again when a new particle is needed. The update function moves them and the draw Function draws them I guess LOL
The function loop is the main loop and adds and draws particles (I have set the particle count to 400 but should handle many more)
The hyper drive is operated via the mouse button. Press for on, let go for off. (It will distort the text if it's being displayed)
The canvas feedback is set via that hyperSpeed variable, the math is a little complex. The sCurce function just limits the value to 0,1 in this case to stop alpha from going over or under 1,0. The hyperZero is just the sCurve return for 1 which is the hyper drives slowest speed.
I have pushed the feedback very close to the limit. In the first few lines of the loop function you can set the top speed if(mouse.button){ if(hyperSpeed < 1.75){ Over this value 1.75 and you will start to get bad FX, at about 2 the whole screen will just go white (I think that was where)
Just play with it and if you have questions ask in the comments.
const ctx = canvas.getContext("2d");
// very simple mouse
const mouse = {x : 0, y : 0, button : false}
function mouseEvents(e){
mouse.x = e.pageX;
mouse.y = e.pageY;
mouse.button = e.type === "mousedown" ? true : e.type === "mouseup" ? false : mouse.button;
}
["down","up","move"].forEach(name => document.addEventListener("mouse"+name,mouseEvents));
// High performance array pool using buubleArray to separate pool objects and active object.
// This is designed to eliminate GC hits involved with particle systems and
// objects that have short lifetimes but used often.
// Warning this code is not well tested.
const bubbleArray = () => {
const items = [];
var count = 0;
return {
clear(){ // warning this dereferences all locally held references and can incur Big GC hit. Use it wisely.
this.items.length = 0;
count = 0;
},
update() {
var head, tail;
head = tail = 0;
while(head < count){
if(items[head].update() === false) {head += 1 }
else{
if(tail < head){
const temp = items[head];
items[head] = items[tail];
items[tail] = temp;
}
head += 1;
tail += 1;
}
}
return count = tail;
},
createCallFunction(name, earlyExit = false){
name = name.split(" ")[0];
const keys = Object.keys(this);
if(Object.keys(this).indexOf(name) > -1){ throw new Error(`Can not create function name '${name}' as it already exists.`) }
if(!/\W/g.test(name)){
let func;
if(earlyExit){
func = `var items = this.items; var count = this.getCount(); var i = 0;\nwhile(i < count){ if (items[i++].${name}() === true) { break } }`;
}else{
func = `var items = this.items; var count = this.getCount(); var i = 0;\nwhile(i < count){ items[i++].${name}() }`;
}
!this.items && (this.items = items);
this[name] = new Function(func);
}else{ throw new Error(`Function name '${name}' contains illegal characters. Use alpha numeric characters.`) }
},
callEach(name){var i = 0; while(i < count){ if (items[i++][name]() === true) { break } } },
each(cb) { var i = 0; while(i < count){ if (cb(items[i], i++) === true) { break } } },
next() { if (count < items.length) { return items[count ++] } },
add(item) {
if(count === items.length){
items.push(item);
count ++;
}else{
items.push(items[count]);
items[count++] = item;
}
return item;
},
getCount() { return count },
}
}
// Helpers rand float, randI random Int
// doFor iterator
// sCurve curve input -Infinity to Infinity out -1 to 1
// randHSLA creates random colour
// CImage, CImageCtx create image and image with context attached
const randI = (min, max = min + (min = 0)) => (Math.random() * (max - min) + min) | 0;
const rand = (min = 1, max = min + (min = 0)) => Math.random() * (max - min) + min;
const doFor = (count, cb) => { var i = 0; while (i < count && cb(i++) !== true); }; // the ; after while loop is important don't remove
const sCurve = (v,p) => (2 / (1 + Math.pow(p,-v))) -1;
const randHSLA = (h, h1, s = 100, s1 = 100, l = 50, l1 = 50, a = 1, a1 = 1) => { return `hsla(${randI(h,h1) % 360},${randI(s,s1)}%,${randI(l,l1)}%,${rand(a,a1)})` }
const CImage = (w = 128, h = w) => (c = document.createElement("canvas"),c.width = w,c.height = h, c);
const CImageCtx = (w = 128, h = w) => (c = CImage(w,h), c.ctx = c.getContext("2d"), c);
// create image to hold text
var textImage = CImageCtx(1024, 1024);
var c = textImage.ctx;
c.fillStyle = "#FF0";
c.font = "64px arial black";
c.textAlign = "center";
c.textBaseline = "middle";
const text = "HYPER,SPEED FX,VII,,Battle of Jank,,Hold the mouse,button to increase,speed.".split(",");
text.forEach((line,i) => { c.fillText(line,512,i * 68 + 68) });
const maxLines = text.length * 68 + 68;
function starWarIntro(image,x1,y1,x2,y2,pos){
var iw = image.width;
var ih = image.height;
var hh = (x2 - x1) / (y2 - y1); // Slope of left edge
var w2 = iw / 2; // half width
var z1 = w2 - x1; // Distance (z) to first line
var z2 = (z1 / (w2 - x2)) * z1 - z1; // distance (z) between first and last line
var sk,t3,t3a,z3a,lines, z3, dd = 0, a = 0, as = 2 / (y2 - y1);
for (var y = y1; y < y2 && dd < maxLines; y++) { // for each line
t3 = ((y - y1) * hh) + x1; // get scan line top left edge
t3a = (((y+1) - y1) * hh) + x1; // get scan line bottom left edge
z3 = (z1 / (w2 - t3)) * z1; // get Z distance to top of this line
z3a = (z1 / (w2 - t3a)) * z1; // get Z distance to bottom of this line
dd = ((z3 - z1) / z2) * ih; // get y bitmap coord
a += as;
ctx.globalAlpha = a < 1 ? a : 1;
dd += pos; // kludge for this answer to make text move
// does not move text correctly
lines = ((z3a - z1) / z2) * ih-dd; // get number of lines to copy
ctx.drawImage(image, 0, dd , iw, lines, t3, y, w - t3 * 2, 1.5);
}
}
// canvas settings
var w = canvas.width;
var h = canvas.height;
var cw = w / 2; // center
var ch = h / 2;
// diagonal distance used to set point alpha (see point update)
var diag = Math.sqrt(w * w + h * h);
// If window size is changed this is called to resize the canvas
// It is not called via the resize event as that can fire to often and
// debounce makes it feel sluggish so is called from main loop.
function resizeCanvas(){
points.clear();
canvas.width = innerWidth;
canvas.height = innerHeight;
w = canvas.width;
h = canvas.height;
cw = w / 2; // center
ch = h / 2;
diag = Math.sqrt(w * w + h * h);
}
// create array of points
const points = bubbleArray();
// create optimised draw function itterator
points.createCallFunction("draw",false);
// spawns a new star
function spawnPoint(pos){
var p = points.next();
p = points.add(new Point())
if (p === undefined) { p = points.add(new Point()) }
p.reset(pos);
}
// point object represents a single star
function Point(pos){ // this function is duplicated as reset
if(pos){
this.x = pos.x;
this.y = pos.y;
this.dead = false;
}else{
this.x = 0;
this.y = 0;
this.dead = true;
}
this.alpha = 0;
var x = this.x - cw;
var y = this.y - ch;
this.dir = Math.atan2(y,x);
this.distStart = Math.sqrt(x * x + y * y);
this.speed = rand(0.01,1);
this.col = randHSLA(220,280,100,100,50,100);
this.dx = Math.cos(this.dir) * this.speed;
this.dy = Math.sin(this.dir) * this.speed;
}
Point.prototype = {
reset : Point, // resets the point
update(){ // moves point and returns false when outside
this.speed *= hyperSpeed; // increase speed the more it has moved
this.x += Math.cos(this.dir) * this.speed;
this.y += Math.sin(this.dir) * this.speed;
var x = this.x - cw;
var y = this.y - ch;
this.alpha = (Math.sqrt(x * x + y * y) - this.distStart) / (diag * 0.5 - this.distStart);
if(this.alpha > 1 || this.x < 0 || this.y < 0 || this.x > w || this.h > h){
this.dead = true;
}
return !this.dead;
},
draw(){ // draws the point
ctx.strokeStyle = this.col;
ctx.globalAlpha = 0.25 + this.alpha *0.75;
ctx.beginPath();
ctx.lineTo(this.x - this.dx * this.speed, this.y - this.dy * this.speed);
ctx.lineTo(this.x, this.y);
ctx.stroke();
}
}
const maxStarCount = 400;
const p = {x : 0, y : 0};
var hyperSpeed = 1.001;
const alphaZero = sCurve(1,2);
var startTime;
function loop(time){
if(startTime === undefined){
startTime = time;
}
if(w !== innerWidth || h !== innerHeight){
resizeCanvas();
}
// if mouse down then go to hyper speed
if(mouse.button){
if(hyperSpeed < 1.75){
hyperSpeed += 0.01;
}
}else{
if(hyperSpeed > 1.01){
hyperSpeed -= 0.01;
}else if(hyperSpeed > 1.001){
hyperSpeed -= 0.001;
}
}
var hs = sCurve(hyperSpeed,2);
ctx.globalAlpha = 1;
ctx.setTransform(1,0,0,1,0,0); // reset transform
//==============================================================
// UPDATE the line below could be the problem. Remove it and try
// what is under that
//==============================================================
//ctx.fillStyle = `rgba(0,0,0,${1-(hs-alphaZero)*2})`;
// next two lines are the replacement
ctx.fillStyle = "Black";
ctx.globalAlpha = 1-(hs-alphaZero) * 2;
//==============================================================
ctx.fillRect(0,0,w,h);
// the amount to expand canvas feedback
var sx = (hyperSpeed-1) * cw * 0.1;
var sy = (hyperSpeed-1) * ch * 0.1;
// increase alpha as speed increases
ctx.globalAlpha = (hs-alphaZero)*2;
ctx.globalCompositeOperation = "lighter";
// draws feedback twice
ctx.drawImage(canvas,-sx, -sy, w + sx*2 , h + sy*2)
ctx.drawImage(canvas,-sx/2, -sy/2, w + sx , h + sy)
ctx.globalCompositeOperation = "source-over";
// add stars if count < maxStarCount
if(points.getCount() < maxStarCount){
var cent = (hyperSpeed - 1) *0.5; // pulls stars to center as speed increases
doFor(10,()=>{
p.x = rand(cw * cent ,w - cw * cent); // random screen position
p.y = rand(ch * cent,h - ch * cent);
spawnPoint(p)
})
}
// as speed increases make lines thicker
ctx.lineWidth = 2 + hs*2;
ctx.lineCap = "round";
points.update(); // update points
points.draw(); // draw points
ctx.globalAlpha = 1;
// scroll the perspective star wars text FX
var scrollTime = (time - startTime) / 5 - 2312;
if(scrollTime < 1024){
starWarIntro(textImage,cw - h * 0.5, h * 0.2, cw - h * 3, h , scrollTime );
}
requestAnimationFrame(loop);
}
requestAnimationFrame(loop);
canvas { position : absolute; top : 0px; left : 0px; }
<canvas id="canvas"></canvas>
Here's another simple example, based mainly on the same idea as Blindman67, concetric lines moving away from center at different velocities (the farther from center, the faster it moves..) also no recycling pool here.
"use strict"
var c = document.createElement("canvas");
document.body.append(c);
var ctx = c.getContext("2d");
var w = window.innerWidth;
var h = window.innerHeight;
var ox = w / 2;
var oy = h / 2;
c.width = w; c.height = h;
const stars = 120;
const speed = 0.5;
const trailLength = 90;
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, w, h);
ctx.fillStyle = "#fff"
ctx.fillRect(ox, oy, 1, 1);
init();
function init() {
var X = [];
var Y = [];
for(var i = 0; i < stars; i++) {
var x = Math.random() * w;
var y = Math.random() * h;
X.push( translateX(x) );
Y.push( translateY(y) );
}
drawTrails(X, Y)
}
function translateX(x) {
return x - ox;
}
function translateY(y) {
return oy - y;
}
function getDistance(x, y) {
return Math.sqrt(x * x + y * y);
}
function getLineEquation(x, y) {
return function(n) {
return y / x * n;
}
}
function drawTrails(X, Y) {
var count = 1;
ctx.fillStyle = "#000";
ctx.fillRect(0, 0, w, h);
function anim() {
for(var i = 0; i < X.length; i++) {
var x = X[i];
var y = Y[i];
drawNextPoint(x, y, count);
}
count+= speed;
if(count < trailLength) {
window.requestAnimationFrame(anim);
}
else {
init();
}
}
anim();
}
function drawNextPoint(x, y, step) {
ctx.fillStyle = "#fff";
var f = getLineEquation(x, y);
var coef = Math.abs(x) / 100;
var dist = getDistance( x, y);
var sp = speed * dist / 100;
for(var i = 0; i < sp; i++) {
var newX = x + Math.sign(x) * (step + i) * coef;
var newY = translateY( f(newX) );
ctx.fillRect(newX + ox, newY, 1, 1);
}
}
body {
overflow: hidden;
}
canvas {
position: absolute;
left: 0;
top: 0;
}
i have a canvas, inside of which i have a board/grid. When a user highlights their mouse over an intersection of the grid, i want it to show where their game peice will go. This worked perfectly fine when the board was the exact size of the canvas. I made it abit smaller by x all the way round.
So as you can see in the picture below, the green shows the canvas and the grid is the board. I put my cursor at the very bottom right corner of the green to show when it triggers. The only one that works fine is the middle one because regardless how big i make the board, the middle will always be the middle.
Any easy fix would just be to make the area with the mouseover event, the dimensions of the board instead of the canvas but the event listener is on the canvas. My code is below the image
Variables:
var canvas = document.getElementById("game-canvas");
var context = canvas.getContext("2d");
var boardSize = 13;
var border = canvas.width / 20;
var boardWidth = canvas.width - (border * 2);
var boardHeight = canvas.height - (border * 2);
var cellWidth = boardWidth / (boardSize - 1);
var cellHeight = boardHeight / (boardSize - 1);
var lastX;
var lastY;
Mouse over event:
canvas.addEventListener('mousemove', function(evt)
{
var position = getGridPoint(evt);
if ((position.x != lastX) || (position.y != lastY))
{
placeStone((position.x * cellWidth) + border, (position.y * cellWidth) + border, 'rgba(0, 0, 0, 0.2)');
}
lastX = position.x;
lastY = position.y;
});
Gets the point on the grid and converts that into a number 0 - 13 (in this case)
function getGridPoint(evt)
{
var rect = canvas.getBoundingClientRect();
var x = Math.round((evt.clientX-rect.left)/(rect.right-rect.left)*boardWidth);
var y = Math.round((evt.clientY-rect.top)/(rect.bottom-rect.top)*boardHeight);
var roundX = Math.round(x / cellWidth);
var roundY = Math.round(y / cellHeight);
return {
x: roundX,
y: roundY
};
}
And finally draws the piece on the board:
function placeStone(x, y, color)
{
var radius = cellWidth / 2;
context.beginPath();
context.arc(x, y, radius, 0, 2 * Math.PI, false);
context.fillStyle = color;
context.fill();
context.lineWidth = 5;
}
I left a couple bits out like how the grid refreshs so its not a string of circles following your mouse and stuff, to keep it as short as i can, im hoping its just a simple asnwer and nobody needs to recreate it but if you do i can include the function that refreshes the grid and draws everything. Thankyou for any advice
To get the position relative to a box
// just as an example w,h are width and height
const box = { x : 10, y : 10, w : 100, h : 100 };
// mouse is the mouse coords and relative to the topleft of canvas (0,0);
var mouse.box = {}
mouse.box.x = mouse.x - box.x;
mouse.box.y = mouse.y - box.y;
Negative values for mouse.box x,y and values greater than box width and height have mouse outside.
For more convenience you can get the mouse normalize pos in the box
mouse.box.nx = mouse.box.x / box.w;
mouse.box.ny = mouse.box.y / box.h;
The coords for nx,ny are in the range 0-1 when inside or on the edge of the box;
If you want to have grid positions then define the grid
box.gridW = 10; // grid divisions width
box.gridH = 10; // grid divisions height
Then getting the grid pos of mouse
mouse.box.gx = Math.floor(mouse.box.nx * box.gridW);
mouse.box.gy = Math.floor(mouse.box.ny * box.gridH);
const ctx = canvas.getContext("2d");
const box = { x : 50,y : 10, w : 200, h : 200, gridW : 10, gridH : 10}
function drawGrid(){
var sx = box.w / box.gridW;
var sy = box.h / box.gridH;
var bx = box.x;
var by = box.y;
for(var y = 0; y < box.gridH; y ++){
for(var x = 0; x < box.gridW; x ++){
ctx.strokeRect(x * sx + bx, y * sx + by,sx,sy);
}
}
if(mouse.box){
if(mouse.box.nx >= 0 && mouse.box.nx <= 1 &&
mouse.box.ny >= 0 && mouse.box.ny <= 1){
ctx.fillRect(mouse.box.gx * sx + bx, mouse.box.gy * sx + by,sx,sy);
}
}
}
const mouse = {};
canvas.addEventListener("mousemove",(e)=>{
mouse.x = e.pageX;
mouse.y = e.pageY;
});
function updateMouse(){
if(!mouse.box){
mouse.box = {};
}
mouse.box.x = mouse.x - box.x;
mouse.box.y = mouse.y - box.y;
mouse.box.nx = mouse.box.x / box.w;
mouse.box.ny = mouse.box.y / box.h;
mouse.box.gx = Math.floor(mouse.box.nx * box.gridW);
mouse.box.gy = Math.floor(mouse.box.ny * box.gridH);
var p = 20;
ctx.fillText("x : " + mouse.x,box.x+box.w+10,p); p+= 14;
ctx.fillText("y : " + mouse.y,box.x+box.w+10,p); p+= 20;
ctx.fillText("Box relative",box.x+box.w+10,p); p+= 14;
ctx.fillText("x : " + mouse.box.x,box.x+box.w+10,p); p+= 14;
ctx.fillText("y : " + mouse.box.y,box.x+box.w+10,p); p+= 14;
ctx.fillText("nx : " + mouse.box.nx,box.x+box.w+10,p); p+= 14;
ctx.fillText("ny : " + mouse.box.ny,box.x+box.w+10,p); p+= 14;
ctx.fillText("gx : " + mouse.box.gx,box.x+box.w+10,p); p+= 14;
ctx.fillText("gy : " + mouse.box.gy,box.x+box.w+10,p); p+= 14;
}
function mainLoop(time){
if(canvas.width !== innerWidth || canvas.height !== innerHeight){ // resize canvas if window size has changed
canvas.width = innerWidth;
canvas.height = innerHeight;
}
ctx.setTransform(1,0,0,1,0,0); // set default transform
ctx.clearRect(0,0,canvas.width,canvas.height); // clear the canvas
updateMouse();
drawGrid();
requestAnimationFrame(mainLoop);
}
requestAnimationFrame(mainLoop);
canvas {
position : absolute;
top : 0px;
left : 0px;
}
<canvas id=canvas><canvas>
I have made a canvas in html5. I'm using it to show parts of a bigger image that you can move and I want to make it possible to zoom both in and out. But I do not know how to make the image scale from a certain point. When I increase the size of the image the part which is shown by the canvas is moved, I want the part in the center of the canvas to be the focus point when the scaling is complete, but no matter how I try it gets distorted some how. It seems like depending on which part of the image is shown, when the scaling happens that part of the picture is going to get moved to different coordinates. I do not know what type of algorithm I would have to use so calculate the movement of the image.
This is a link to a visual example of the movement i mean, https://imgur.com/a/aZiVM, the two images are scaled the same but depending on which part of the image that is visible in the canvas, the amount the image needs to be moved tor the zoom differs.
This is my code, but it isn't really working that well.
<!DOCTYPE HTML>
<html>
<head>
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.3.2/jquery.js"></script>
<style>
body {
padding: 0px;
margin: 0px;
}
</style>
</head>
<body>
<div id="map" style="position:absolute;top:10px;left:50px;">
<canvas id="canvas" width="800" height="600" style="float:left;border:1px solid #000000;">Your browser doesn't support canvas</canvas>
<div id="floorDown" onMouseDown="zoomIn()" style="width:200px;height:50px;float:left;">Zoom in</div><br>
<div id="floorDown" onMouseDown="zoomOut()" style="width:200px;height:50px;float:left;">Zoom out</div>
</div>
<script>
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
var canvasOffset=$("#canvas").offset();
var offsetX=canvasOffset.left;
var offsetY=canvasOffset.top;
var startX;
var startY;
var isDown=false;
//start position
var imageX=0;
var imageY=0;
var imageWidth,imageHeight,imageRight,imageBottom;
var draggingImage=false;
var startX;
var startY;
var img=new Image();
img.onload=function(){
imageWidth=img.width;
imageHeight=img.height;
draw();
}
img.src='http://orig00.deviantart.net/35cb/f/2013/030/f/0/tripolar_by_zy0rg-d5t9tqh.png';
function draw(){
// clear the canvas
ctx.clearRect(0,0,canvas.width,canvas.height);
//Disable anti-aliasing
ctx.imageSmoothingEnabled=false;
// draw the image
ctx.drawImage(img,0,0,img.width,img.height,imageX,imageY,imageWidth,imageHeight);
}
function handleMouseDown(e){
startX=parseInt(e.clientX-offsetX);
startY=parseInt(e.clientY-offsetY);
draggingImage= true;
}
function handleMouseUp(e){
draggingImage=false;
draw();
}
function handleMouseOut(e){
handleMouseUp(e);
}
function handleMouseMove(e){
if(draggingImage){
imageClick=false;
mouseX=parseInt(e.clientX-offsetX);
mouseY=parseInt(e.clientY-offsetY);
// move the image by the amount of the latest drag
var dx=mouseX-startX;
var dy=mouseY-startY;
imageX+=dx;
imageY+=dy;
// reset the startXY for next time
startX=mouseX;
startY=mouseY;
// redraw the image with border
draw();
}
}
// TEST zoom in/out functions
function zoomIn() {
imageX=imageX*2;
imageY=imageY*2;
imageWidth=imageWidth*2;
imageHeight=imageHeight*2;
draw();
}
function zoomOut() {
imageX=imageX/2;
imageY=imageY/2;
imageWidth=imageWidth/2;
imageHeight=imageHeight/2;
draw();
}
$("#canvas").mousedown(function(e){handleMouseDown(e);});
$("#canvas").mousemove(function(e){handleMouseMove(e);});
$("#canvas").mouseup(function(e){handleMouseUp(e);});
$("#canvas").mouseout(function(e){handleMouseOut(e);});
</script>
</body>
Given the origin (pos) and scale to zoom at a point
var pos = {x : 0, y : 0};
var scale = 1;
function zoomAt(x,y,_scale)
scale *= _scale
pos.x = x - (x - pos.x) * scale;
pos.y = y - (y - pos.y) * scale;
}
You can then create the transform with
ctx.setTransform(scale, 0, 0, scale, pos.x, pos.y);
So to zoom at the center of screen
zoomAt(canvas.width / 2, canvas.height / 2, 1.1); // zoom in
zoomAt(canvas.width / 2, canvas.height / 2, 1 / 1.1); // zoom out
Put all together
// the following globals are available
// w, h, cw, ch, width height centerWidth centerHeight of canvas
// canvas, ctx, mouse, globalTime
const image = new Image;
image.src = "https://upload.wikimedia.org/wikipedia/commons/thumb/6/6d/KTZ_2TE10U_Aynabulak.jpg/800px-KTZ_2TE10U_Aynabulak.jpg";
const font = {
font : "28px Arial",
textAlign : "center",
textBaseline : "middle",
}
function setStyle(ctx, style){
Object.keys(style).forEach(key => ctx[key] = style[key]);
}
// Handle all key input
const keys = { // key input object
ArrowLeft : false, // only add key names you want to listen to
ArrowRight : false,
keyEvent (event) {
if (keys[event.code] !== undefined) { // are we interested in this key
keys[event.code] = event.type === "keydown";
}
}
}
// add key listeners
document.addEventListener("keydown", keys.keyEvent);
document.addEventListener("keyup", keys.keyEvent);
const view = (()=>{
const matrix = [1,0,0,1,0,0]; // current view transform
const invMatrix = [1,0,0,1,0,0]; // current inverse view transform
var m = matrix; // alias
var im = invMatrix; // alias
var rotate = 0; // current x axis direction in radians
var scale = 1; // current scale
const pos = { // current position of origin
x : 0,
y : 0,
}
var dirty = true;
return {
apply(ctx){
if(dirty){ this.update() }
var m = matrix;
ctx.setTransform(m[0],m[1],m[2],m[3],m[4],m[5]);
},
update(){ // call to update transforms
var xdx = Math.cos(rotate) * scale;
var xdy = Math.sin(rotate) * scale;
m[0] = xdx;
m[1] = xdy;
m[2] = -xdy;
m[3] = xdx;
m[4] = pos.x;
m[5] = pos.y;
// calculate the inverse transformation
cross = m[0] * m[3] - m[1] * m[2];
im[0] = m[3] / cross;
im[1] = -m[1] / cross;
im[2] = -m[2] / cross;
im[3] = m[0] / cross;
dirty = false;
},
toWorld(x,y,point = {}){ // convert screen to world coords
var xx, yy;
if(dirty){ this.update() }
xx = x - matrix[4];
yy = y - matrix[5];
point.x = xx * im[0] + yy * im[2];
point.y = xx * im[1] + yy * im[3];
return point;
},
toScreen(x,y,point = {}){ // convert world coords to coords
if(dirty){ this.update() }
point.x = x * m[0] + y * m[2] + m[4];
point.y = x * m[1] + y * m[3] + m[5];
return point;
},
movePos(x,y){
pos.x += x;
pos.y += y;
dirty = true;
},
setPos(x,y){
pos.x = x;
pos.y = y;
dirty = true;
},
setScale(sc){
scale = sc;
dirty = true;
},
scaleScale(sc){
scale *= sc;
dirty = true;
},
scaleAt(x,y,sc){
if(dirty){ this.update() }
scale *= sc;
pos.x = x - (x - pos.x) * sc;
pos.y = y - (y - pos.y) * sc;
dirty = true;
}
};
})();
function onResize(){
setStyle(ctx,font);
}
const drag = {
dragging : false,
lastX : 0,
lastY : 0,
update(){
var dx,dy;
if(mouse.w){
if(mouse.w < 0){
mouse.w += 10;
view.scaleAt(mouse.x,mouse.y,1/1.02);
if(mouse.w > 0){
mouse.w = 0;
}
} else if(mouse.w > 0){
mouse.w -= 10;
view.scaleAt(mouse.x,mouse.y,1.02);
if(mouse.w < 0){
mouse.w = 0;
}
}
}
if(mouse.buttonRaw){
if(!this.dragging){
this.dragging = true;
this.lastX = mouse.x;
this.lastY = mouse.y;
}else{
if(mouse.buttonRaw & 1){
dx = mouse.x-this.lastX;
dy = mouse.y-this.lastY;
this.lastX = mouse.x;
this.lastY = mouse.y;
view.movePos(dx,dy);
}
}
}else{
if(this.dragging){
this.dragging = false;
}
}
}
}
function display() { // call once per frame
ctx.setTransform(1, 0, 0, 1, 0, 0); // reset transform
ctx.globalAlpha = 1; // reset alpha
ctx.clearRect(0, 0, w, h);
if(keys.ArrowLeft ){ mouse.w += 10 }
if(keys.ArrowRight){ mouse.w -= 10 }
drag.update();
if(image.complete){
view.apply(ctx);
ctx.drawImage(image,0,0);
ctx.setTransform(1, 0, 0, 1, 0, 0);
ctx.fillText("Click drag to pan. Wheel to zoom or left/right arrow.",cw,20)
}else{
ctx.fillText("Loading Image...",cw,ch)
}
}
/******************************************************************************
The code from here down is generic full page mouse and canvas boiler plate
code. As I do many examples which all require the same mouse and canvas
functionality I have created this code to keep a consistent interface. The
Code may or may not be part of the answer.
This code may or may not have ES6 only sections so will require a transpiler
such as babel.js to run on legacy browsers.
*****************************************************************************/
// V2.0 ES6 version for Stackoverflow and Groover QuickRun
var w, h, cw, ch, canvas, ctx, mouse, globalTime = 0;
// You can declare onResize (Note the capital R) as a callback that is also
// called once at start up. Warning on first call canvas may not be at full
// size.
;(function(){
const RESIZE_DEBOUNCE_TIME = 100;
var resizeTimeoutHandle;
var firstRun = true;
function createCanvas () {
var c,cs;
cs = (c = document.createElement("canvas")).style;
cs.position = "absolute";
cs.top = cs.left = "0px";
cs.zIndex = 10;
document.body.appendChild(c);
return c;
}
function resizeCanvas () {
if (canvas === undefined) { canvas = createCanvas() }
canvas.width = innerWidth;
canvas.height = innerHeight;
ctx = canvas.getContext("2d");
if (typeof setGlobals === "function") { setGlobals() }
if (typeof onResize === "function") {
clearTimeout(resizeTimeoutHandle);
if (firstRun) { onResize() }
else { resizeTimeoutHandle = setTimeout(onResize, RESIZE_DEBOUNCE_TIME) }
firstRun = false;
}
}
function setGlobals () {
cw = (w = canvas.width) / 2;
ch = (h = canvas.height) / 2;
}
mouse = (function () {
function preventDefault(e) { e.preventDefault() }
var m; // alias for mouse
var mouse = {
x : 0, y : 0, w : 0, // mouse position and wheel
alt : false, shift : false, ctrl : false, // mouse modifiers
buttonRaw : 0,
over : false, // true if mouse over the element
buttonOnMasks : [0b1, 0b10, 0b100], // mouse button on masks
buttonOffMasks : [0b110, 0b101, 0b011], // mouse button off masks
active : false,
bounds : null,
eventNames : "mousemove,mousedown,mouseup,mouseout,mouseover,mousewheel,DOMMouseScroll".split(","),
event(e) {
var t = e.type;
m.bounds = m.element.getBoundingClientRect();
m.x = e.pageX - m.bounds.left - scrollX;
m.y = e.pageY - m.bounds.top - scrollY;
m.alt = e.altKey;
m.shift = e.shiftKey;
m.ctrl = e.ctrlKey;
if (t === "mousedown") { m.buttonRaw |= m.buttonOnMasks[e.which - 1] }
else if (t === "mouseup") { m.buttonRaw &= m.buttonOffMasks[e.which - 1] }
else if (t === "mouseout") { m.over = false }
else if (t === "mouseover") { m.over = true }
else if (t === "mousewheel") {
m.w = e.wheelDelta
e.preventDefault();
}
else if (t === "DOMMouseScroll") {
m.w = -e.detail
e.preventDefault();
}
},
start(element) {
m.element = element === undefined ? document : element;
m.eventNames.forEach(name => document.addEventListener(name, mouse.event) );
document.addEventListener("contextmenu", preventDefault, false);
m.active = true;
},
}
m = mouse;
return mouse;
})();
function update(timer) { // Main update loop
globalTime = timer;
display(); // call demo code
requestAnimationFrame(update)
}
setTimeout(function(){
canvas = createCanvas();
mouse.start(canvas, true);
resizeCanvas();
window.addEventListener("resize", resizeCanvas);
requestAnimationFrame(update);
},0);
})();
/** SimpleFullCanvasMouse.js end **/
#imageCC {
font-family : arial;
font-size : 10px;
position : absolute;
z-index : 100;
bottom : 3px;
right : 10px;
background : rgba(255,255,255,0.7);
}
<div id=imageCC>Image rights.
Kabelleger / David Gubler (http://www.bahnbilder.ch), KTZ 2TE10U Aynabulak, CC BY-SA 3.0
</div>
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 implemented a zoom function in my canvas just like this one: Zoom in on a point (using scale and translate)
Now I need to calculate the position of the mouse in relation to the canvas, I first tried like this:
var rect = this._canvas.getBoundingClientRect();
var x = ((event.clientX - rect.left) / (rect.right - rect.left) * this._canvas.width);
var y = ((event.clientY - rect.top) / (rect.bottom - rect.top) * this._canvas.height);
This works excellent until I zoom... I tried to do it like this:
var x = ((event.clientX - rect.left) / (rect.right - rect.left) * this._canvas.width) - this._canvas.offsetLeft ;
var y = ((event.clientY - rect.top) / (rect.bottom - rect.top) * this._canvas.height) - offset.top this._canvas.offSetTop ;
Any hint ? Or should I better use a JS library to interact with the canvas element ? If so, do you have any experience ?
Inverse Matrix
This answer include rotation as well because the scale is part of the rotation in the matrix you can't really exclude one or the other. But you can ignore the rotation (set it as zero) and just set scale and translation and it does what you want.
The inverse transform. It basically does the reverse of the standard 2D transformations. It will require that you keep track of the transformations so you can create the inverse transform, this can prove problematic in complex transforms if you wish to use ctx.rotation, ctx.scale, ctx.translate or ctx.transform. As you requirements are simple I have created a simple function to do the minimum transformation.
The following creates both the transformation matrix and the inverse transform as two arrays called matrix and invMatrix. The arguments are translation x,y (in canvas coordinates), scale, and rotation.
var matrix = [1,0,0,1,0,0];
var invMatrix = [1,0,0,1];
function createMatrix(x, y, scale, rotate){
var m = matrix; // just to make it easier to type and read
var im = invMatrix; // just to make it easier to type and read
// create the rotation and scale parts of the matrix
m[3] = m[0] = Math.cos(rotate) * scale;
m[2] = -(m[1] = Math.sin(rotate) * scale);
// add the translation
m[4] = x;
m[5] = y;
// calculate the inverse transformation
// first get the cross product of x axis and y axis
cross = m[0] * m[3] - m[1] * m[2];
// now get the inverted axis
im[0] = m[3] / cross;
im[1] = -m[1] / cross;
im[2] = -m[2] / cross;
im[3] = m[0] / cross;
}
Using the function
To use the function is simple. Just call with the desired values for position, scale and rotation.
Applying the inverse
To get the world coordinates (the transformed coordinates) from a pixel space (screen x, y) you need to apply the inverse transform
function toWorld(x,y){
var xx, yy, m, result;
m = invMatrix;
xx = x - matrix[4]; // remove the translation
yy = y - matrix[5]; // by subtracting the origin
// return the point {x:?,y:?} by multiplying xx,yy by the inverse matrix
return {
x: xx * m[0] + yy * m[2],
y: xx * m[1] + yy * m[3]
}
}
So if you want the mouse position in world space
var mouseWorldSpace = toWorld(mouse.x,mouse.y); // get the world space coordinates of the mouse
The function will convert any coordinate that is in screen space to the correct coordinate in world space.
Setting the 2D context transform
To use the transform you can set the 2D context transformation directly with
var m = matrix;
ctx.setTransform(m[0], m[1], m[2], m[3], m[4], m[5]);
Demo
And a demo to show it in use. A lot of extra code but I am sure you can find the parts you need. The Demo animates the transformation by rotating, scaling, and translating using createMatrix then uses toWorld to convert the mouse coordinates to the world space.
// the demo function
var demo = function(){
/** fullScreenCanvas.js begin **/
// create a full document canvas on top
var canvas = (function(){
var canvas = document.getElementById("canv");
if(canvas !== null){
document.body.removeChild(canvas);
}
// creates a blank image with 2d context
canvas = document.createElement("canvas");
canvas.id = "canv";
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
canvas.style.position = "absolute";
canvas.style.top = "0px";
canvas.style.left = "0px";
canvas.style.zIndex = 1000;
canvas.ctx = canvas.getContext("2d");
document.body.appendChild(canvas);
return canvas;
})();
var ctx = canvas.ctx;
/** fullScreenCanvas.js end **/
/** MouseFull.js begin **/
// get the mouse data . This is a generic mouse handler I use so a little over kill for this example
var canvasMouseCallBack = undefined; // if needed
var mouse = (function(){
var mouse = {
x : 0, y : 0, w : 0, alt : false, shift : false, ctrl : false,
interfaceId : 0, buttonLastRaw : 0, buttonRaw : 0,
over : false, // mouse is over the element
bm : [1, 2, 4, 6, 5, 3], // masks for setting and clearing button raw bits;
getInterfaceId : function () { return this.interfaceId++; }, // For UI functions
startMouse:undefined,
};
function mouseMove(e) {
var t = e.type, m = mouse;
m.x = e.offsetX; m.y = e.offsetY;
if (m.x === undefined) { m.x = e.clientX; m.y = e.clientY; }
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 (canvasMouseCallBack) { canvasMouseCallBack(m.x, m.y); }
e.preventDefault();
}
function startMouse(element){
if(element === undefined){
element = document;
}
"mousemove,mousedown,mouseup,mouseout,mouseover,mousewheel,DOMMouseScroll".split(",").forEach(
function(n){element.addEventListener(n, mouseMove);});
element.addEventListener("contextmenu", function (e) {e.preventDefault();}, false);
}
mouse.mouseStart = startMouse;
return mouse;
})();
if(typeof canvas === "undefined"){
mouse.mouseStart();
}else{
mouse.mouseStart(canvas);
}
/** MouseFull.js end **/
// some stuff to draw a grid
var gridStart= -(canvas.width/10)*4;
var gridEnd = (canvas.width/10)*14;
var gridStepMajor = canvas.width/10;
var gridStepMinor = canvas.width/20;
var minorCol = "#999";
var majorCol = "#000";
var minorWidth = 1;
var majorWidth = 3;
// some stuf to animate the transformation
var timer = 0;
var timerStep = 0.01;
//----------------------------------------------------------------------------
// the code from the answer
var matrix = [1, 0, 0, 1, 0, 0]; // normal matrix
var invMatrix = [1, 0, 0, 1]; // inverse matrix
function createMatrix(x, y, scale, rotate){
var m = matrix; // just to make it easier to type and read
var im = invMatrix; // just to make it easier to type and read
// create the scale and rotation part of the matrix
m[3] = m[0] = Math.cos(rotate) * scale;
m[2] = -(m[1] = Math.sin(rotate) * scale);
// translation
m[4] = x;
m[5] = y;
// calculate the inverse transformation
// first get the cross product of x axis and y axis
cross = m[0] * m[3] - m[1] * m[2];
// now get the inverted axies
im[0] = m[3] / cross;
im[1] = -m[1] / cross;
im[2] = -m[2] / cross;
im[3] = m[0] / cross;
}
// function to transform to world space
function toWorld(x,y){
var xx, yy, m;
m = invMatrix;
xx = x - matrix[4];
yy = y - matrix[5];
return {
x: xx * m[0] + yy * m[2] ,
y: xx * m[1] + yy * m[3]
}
}
//----------------------------------------------------------------------------
// center of canvas
var cw = canvas.width / 2;
var ch = canvas.height / 2;
// the main loop
function update(){
var i,x,y,s;
ctx.setTransform(1, 0, 0, 1, 0, 0); // reset the transform so we can clear
ctx.clearRect(0, 0, canvas.width, canvas.height); // clear the canvas
// animate the transformation
timer += timerStep;
x = Math.cos(timer) * gridStepMajor * 5 + cw; // position
y = Math.sin(timer) * gridStepMajor * 5 + ch;
s = Math.sin(timer/1.2) + 1.5; // scale
//----------------------------------------------------------------------
// create the matrix at x,y scale = s and rotation time/3
createMatrix(x,y,s,timer/3);
// use the created matrix to set the transformation
var m = matrix;
ctx.setTransform(m[0], m[1], m[2], m[3], m[4], m[5]);
//----------------------------------------------------------------------------
//draw a grid
ctx.lineWidth = 2;
ctx.beginPath();
ctx.strokeStyle = majorCol ;
ctx.lineWidth = majorWidth;
for(i = gridStart; i <= gridEnd; i+= gridStepMajor){
ctx.moveTo(gridStart, i);
ctx.lineTo(gridEnd, i);
ctx.moveTo(i, gridStart);
ctx.lineTo(i, gridEnd);
}
ctx.stroke();
ctx.strokeStyle = minorCol ;
ctx.lineWidth = minorWidth;
for(i = gridStart+gridStepMinor; i < gridEnd; i+= gridStepMinor){
ctx.moveTo(gridStart, i);
ctx.lineTo(gridEnd, i);
ctx.moveTo(i, gridStart);
ctx.lineTo(i, gridEnd);
}
ctx.stroke();
//---------------------------------------------------------------------
// get the mouse world coordinates
var mouseWorldPos = toWorld(mouse.x, mouse.y);
//---------------------------------------------------------------------
// marke the location with a cross and a circle;
ctx.strokeStyle = "red";
ctx.lineWidth = 3;
ctx.beginPath();
ctx.moveTo(mouseWorldPos.x - gridStepMajor, mouseWorldPos.y)
ctx.lineTo(mouseWorldPos.x + gridStepMajor, mouseWorldPos.y)
ctx.moveTo(mouseWorldPos.x, mouseWorldPos.y - gridStepMajor)
ctx.lineTo(mouseWorldPos.x, mouseWorldPos.y + gridStepMajor)
ctx.stroke();
ctx.fillStyle = "red";
ctx.strokeStyle = "yellow";
ctx.lineWidth = 4;
ctx.beginPath();
ctx.arc(mouseWorldPos.x, mouseWorldPos.y, 6, 0, Math.PI*2);
ctx.fill();
ctx.stroke();
ctx.fillStyle = "Blue";
ctx.setTransform(1,0,0,1,0,0);
ctx.font = "18px Arial";
var str = "Mouse canvas X: "+ mouse.x + " Y: " + mouse.y;
ctx.fillText(str , 10 ,18);
var str = "Mouse world X: "+ mouseWorldPos.x.toFixed(2) + " Y: " + mouseWorldPos.y.toFixed(2);
ctx.fillText(str , 10 ,36);
// if not over request a new animtion frame
if(!endItAll){
requestAnimationFrame(update);
}else{
// if done remove the canvas
var can = document.getElementById("canv");
if(can !== null){
document.body.removeChild(can);
}
// flag that we are ready to start again
endItAll = false;
}
}
update(); // start the animation
}
// Flag to indicate that the current execution should shut down
var endItAll = false;
// resizes but waits for the current running animnation to shut down
function resizeIt(){
endItAll = true;
function waitForIt(){
if(!endItAll){
demo();
}else{
setTimeout(waitForIt, 100);
}
}
setTimeout(waitForIt, 100);
}
// starts the demo
demo();
// listen to resize events and resize canvas if needed
window.addEventListener("resize",resizeIt)
Go step by step :
Find the coordinates of the mouse on the canvas:
var rect = canvas.getBoundingClientRect();
var xMouse = event.clientX - rect.left;
var yMouse = event.clientY - rect.top;
Normalize those coordinates so they are in [0;1] :
var relX = xMouse / canvas.width;
var relY = yMouse / canvas.height;
now say you view is defined by a rect called... well... viewRect, the position of the mouse in the view is :
var viewX = viewRect.left + relX*(viewRect.right-viewRect.left);
var viewY = viewRect.top + relY*(viewRect.bottom-viewRect.top);
When you launch your app your rect is 0,0,canvasWidth, canvasHeight.
When you click, you have to adjust your rect.
If clicking means zooming by zFactor at viewX, viewY, code will look like :
var newWidth = viewRect.width/zFactor;
var newHeight = viewRect.height/zFactor;
viewRect.left = viewX - newWidth/2;
viewRect.right = viewX + newWidth/2;
viewRect.top = viewY - newHeight/2;
viewRect.bottom = viewY + newHeight/2;
your draw method should look like :
context.save();
context.translate((viewRect.left+viewRect.right )/ 2, ...) ;
var scaleFactor = (viewRect.right+viewRect.left ) / canvasWidth;
context.scale(scaleFactor, scaleFactor);
... draw
context.restore();
Instead of keeping track of the various transformations, I inquired of the canvas for the current transform:
function mouseUp(canvas, event) {
const rect = canvas.getBoundingClientRect();
const transform = graphics.getTransform();
const canvasX = (event.clientX - rect.left - transform.e) / transform.a;
const canvasY = (event.clientY - rect.top - transform.f) / transform.d;
The doesn't deal with skew, but it gives a general idea of the approach I'm using.