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Get cursor location of a rectangle inside a canvas

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>

How do you zoom into a specific point (no canvas)?

The goal is simple, using a mousewheel, zoom into a specific point (where the mouse is). This means after zooming the mouse will be in the same roughly the same spot of the picture.
(Purely illustrative, I don't care if you use dolphins, ducks or madonna for the image)
I do not wish to use canvas, and so far I've tried something like this:
HTML
<img src="whatever">
JS
function zoom(e){
var deltaScale = deltaScale || -e.deltaY / 1000;
var newScale = scale + deltaScale;
var newWidth = img.naturalWidth * newScale;
var newHeight = img.naturalHeight * newScale;
var x = e.pageX;
var y = e.pageY;
var newX = x * newWidth / img.width;
var newY = y * newHeight / img.height;
var deltaX = newX - x;
var deltaY = newY - y;
setScale(newScale);
setPosDelta(-deltaX,-deltaY);
}
function setPosDelta(dX, dY) {
var imgPos = getPosition();
setPosition(imgPos.x + dX, imgPos.y + dY);
}
function getPosition() {
var x = parseFloat(img.style.left);
var y = parseFloat(img.style.top);
return {
x: x,
y: y
}
}
function setScale(n) {
scale = n;
img.width = img.naturalWidth * n;
img.height = img.naturalHeight * n;
}
What this attempts to do is calculate the x,y coordinates of the dolphin's eye before and after the zoom, and after calculating the distance between those two points, substracts it from the left,top position in order to correct the zoom displacement, with no particular success.
The zoom occurs naturally extending the image to the right and to the bottom, so the correction tries to pull back to the left and to the top in order to keep the mouse on that damn dolphin eye! But it definitely doesn't.
Tell me, what's wrong with the code/math? I feel this question is not too broad, considering I couldn't find any solutions besides the canvas one.
Thanks!
[EDIT] IMPORTANT
CSS transform order matters, if you follow the selected answer, make sure you order the transition first, and then the scale. CSS transforms are executed backwards (right to left) so the scaling would be processed first, and then the translation.

Here is an implementation of zooming to a point. The code uses the CSS 2D transform and includes panning the image on a click and drag. This is easy because of no change in scale.
The trick when zooming is to normalize the offset amount using the current scale (in other words: divide it by the current scale) first, then apply the new scale to that normalized offset. This keeps the cursor exactly where it is independent of scale.
var scale = 1,
panning = false,
xoff = 0,
yoff = 0,
start = {x: 0, y: 0},
doc = document.getElementById("document");
function setTransform() {
doc.style.transform = "translate(" + xoff + "px, " + yoff + "px) scale(" + scale + ")";
}
doc.onmousedown = function(e) {
e.preventDefault();
start = {x: e.clientX - xoff, y: e.clientY - yoff};
panning = true;
}
doc.onmouseup = function(e) {
panning = false;
}
doc.onmousemove = function(e) {
e.preventDefault();
if (!panning) {
return;
}
xoff = (e.clientX - start.x);
yoff = (e.clientY - start.y);
setTransform();
}
doc.onwheel = function(e) {
e.preventDefault();
// take the scale into account with the offset
var xs = (e.clientX - xoff) / scale,
ys = (e.clientY - yoff) / scale,
delta = (e.wheelDelta ? e.wheelDelta : -e.deltaY);
// get scroll direction & set zoom level
(delta > 0) ? (scale *= 1.2) : (scale /= 1.2);
// reverse the offset amount with the new scale
xoff = e.clientX - xs * scale;
yoff = e.clientY - ys * scale;
setTransform();
}
html, body {
margin: 0;
padding: 0;
width: 100%;
height: 100%;
overflow: hidden;
}
#document {
width: 100%;
height: 100%;
transform-origin: 0px 0px;
transform: scale(1) translate(0px, 0px);
}
<div id="document">
<img style="width: 100%"
src="https://i.imgur.com/fHyEMsl.jpg"
crossOrigin="" />
</div>

This is an implementation that is closer to your original idea using top and left offsets and modifying the width attribute of the image instead of using the css transform in my other answer.
var scale = 1.0,
img = document.getElementById("image"),
deltaX = 0,
deltaY = 0;
// set the initial scale once the image is loaded
img.onload = function() {
scale = image.offsetWidth / image.naturalWidth;
}
img.onwheel = function(e) {
e.preventDefault();
// first, remove the scale so we have the native offset
var xoff = (e.clientX - deltaX) / scale,
yoff = (e.clientY - deltaY) / scale,
delta = (e.wheelDelta ? e.wheelDelta : -e.deltaY);
// get scroll direction & set zoom level
(delta > 0) ? (scale *= 1.05) : (scale /= 1.05);
// limit the smallest size so the image does not disappear
if (img.naturalWidth * scale < 16) {
scale = 16 / img.naturalWidth;
}
// apply the new scale to the native offset
deltaX = e.clientX - xoff * scale;
deltaY = e.clientY - yoff * scale;
// now modify the attributes of the image to reflect the changes
img.style.top = deltaY + "px";
img.style.left = deltaX + "px";
img.style.width = (img.naturalWidth * scale) + "px";
}
window.onresize = function(e) {
document.getElementById("wrapper").style.width = window.innerWidth + "px";
document.getElementById("wrapper").style.height = window.innerHeight + "px";
}
window.onload = function(e) {
document.getElementById("wrapper").style.width = window.innerWidth + "px";
document.getElementById("wrapper").style.height = window.innerHeight + "px";
}
html,
body {
height: 100%;
width: 100%;
margin: 0;
padding: 0;
overflow: hidden;
}
div {
overflow: hidden;
}
<div id="wrapper" style="position:relative;">
<img id="image" style="width:100%;position:absolute;top:0px;left:0px;"
src="https://i.imgur.com/fHyEMsl.jpg"
crossOrigin="" />
</div>

I liked the both posts from fmacdee. I factored the code he created out to be a reusable version that can be called on any image.
just call:
var imageScaler = new ImageScaler(document.getElementById("image"));
imageScaler.setup();
and include this code somewhere in your project:
var ImageScaler = function(img)
{
this.img = img;
this.scale = this.getImageScale();
this.panning = false;
this.start = {x: 0, y: 0};
this.delta = {x: 0, y: 0};
};
ImageScaler.prototype =
{
constructor: ImageScaler,
setup: function()
{
this.setupEvents();
},
setupEvents: function()
{
var img = this.img;
var callBack = this.onScale.bind(this);
var touchDown = this.touchDown.bind(this),
touhcMove = this.touchMove.bind(this),
touchUp = this.touchUp.bind(this);
img.onwheel = callBack;
img.onmousedown = touchDown;
img.onmousemove = touhcMove;
img.onmouseup = touchUp;
},
getImageScale: function()
{
var img = this.img;
return img.offsetWidth / img.naturalWidth;
},
getMouseDirection: function(e)
{
return (e.wheelDelta ? e.wheelDelta : -e.deltaY);
},
getOffset: function(e)
{
var scale = this.scale,
delta = this.delta;
// first, remove the scale so we have the native offset
return {
x: (e.clientX - delta.x) / scale,
y: (e.clientY - delta.y) / scale
};
},
scaleElement: function(x, y, scale)
{
var img = this.img;
img.style.top = y + "px";
img.style.left = x + "px";
img.style.width = (img.naturalWidth * scale) + "px";
},
minScale: 0.2,
updateScale: function(delta)
{
// get scroll direction & set zoom level
var scale = (delta > 0) ? (this.scale *= 1.05) : (this.scale /= 1.05);
// limit the smallest size so the image does not disappear
if (scale <= this.minScale)
{
this.scale = this.minScale;
}
return this.scale;
},
touchDown: function(e)
{
var delta = this.delta;
this.start = {x: e.clientX - delta.x, y: e.clientY - delta.y};
this.panning = true;
},
touchMove: function(e)
{
e.preventDefault();
if (this.panning === false)
{
return;
}
var delta = this.delta,
start = this.start;
delta.x = (e.clientX - start.x);
delta.y = (e.clientY - start.y);
console.log(delta, start)
this.scaleElement(delta.x, delta.y, this.scale);
},
touchUp: function(e)
{
this.panning = false;
},
onScale: function(e)
{
var offset = this.getOffset(e);
e.preventDefault();
// get scroll direction & set zoom level
var delta = this.getMouseDirection(e);
var scale = this.updateScale(delta);
// apply the new scale to the native offset
delta = this.delta;
delta.x = e.clientX - offset.x * scale;
delta.y = e.clientY - offset.y * scale;
this.scaleElement(delta.x, delta.y, scale);
}
};
I made a fiddle to view the results: http://jsfiddle.net/acqo5n8s/12/

Get relative X and Y on transforming canvas [duplicate]

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.

Avoid cursor's default position on webpage being (0,0)

in the jsfiddle below im trying to get the yellow and red circles to initially appear in the center, as opposed to moving to the cursor's initial assumed position - which is (0,0) as the cursor is not yet in the actual screen of the page (if I'm guessing correctly).
http://jsfiddle.net/fhmkf/220/
Is there a way I can define the initial placement of the cursor - that is when calculating (window).mousemove(function(e){... - particularly the e.pageX and e.pageY?
The js looks like so:
var Circle = function(container, follower, r){
var center = {
x: $(container).width()/2 - r,
y: $(container).height()/2 - r
};
var distanceThreshold = $(container).width()/2 - r;
var mouseX = 0, mouseY = 0;
$(window).mousemove(function(e){
var d = {
x: e.pageX - center.x,
y: e.pageY - center.y
};
var distance = Math.sqrt(d.x*d.x + d.y*d.y);
if (distance < distanceThreshold) {
mouseX = e.pageX;
mouseY = e.pageY;
} else {
mouseX = d.x / distance * distanceThreshold + center.x;
mouseY = d.y / distance * distanceThreshold + center.y;
}
});
// cache the selector
var follower = $(follower);
var xp = 0, yp = 0;
var loop = setInterval(function(){
// change 12 to alter damping higher is slower
xp += (mouseX - xp) / 2;
yp += (mouseY - yp) / 2;
follower.css({left:xp, top:yp});
}, 30);
};
var c1 = new Circle(".container", "#follower", 15);
var c2 = new Circle(".container2", "#follower2", 25);

Javascript: follow cursor but stay within a circle as opposed to rectangle div

I'm trying to get the jsfiddle sample below to make the yellow circle div follow the mouse but be constraint to a circle as opposed to a square (div).
http://jsfiddle.net/fhmkf/
The JS code looks like so:
var mouseX = 0, mouseY = 0, limitX = 150-15, limitY = 150-15;
$(window).mousemove(function(e){
mouseX = Math.min(e.pageX, limitX);
mouseY = Math.min(e.pageY, limitY);
});
// cache the selector
var follower = $("#follower");
var xp = 0, yp = 0;
var loop = setInterval(function(){
// change 12 to alter damping higher is slower
xp += (mouseX - xp) / 12;
yp += (mouseY - yp) / 12;
follower.css({left:xp, top:yp});
}, 30);
I understand the structure and methodology of the code, just not too familiar with the syntax!
Where is the best place to update the limitX/Y and throw in the extra radius, distance variables?

You can do this by computing the distance away from the center of the circle (2D distances are computed with Math.sqrt(x * x + y * y)). Then check to see if the distance is greater than the radius of the circle you'd like to constrain to. If it is, scale down the distance to match your constraining radius.
Here's the snippet:
var mouseX = 0, mouseY = 0, limitX = 150-15, limitY = 150-15;
var centerX = limitX / 2, centerY = limitY / 2;
var radius = centerX;
$(window).mousemove(function(e) {
var diffX = e.pageX - centerX;
var diffY = e.pageY - centerY;
// Get the mouse distance from the center
var r = Math.sqrt(diffX * diffX + diffY * diffY);
if (r > radius) {
// Scale the distance down to length 1
diffX /= r;
diffY /= r;
// Scale back up to the radius
diffX *= radius;
diffY *= radius;
}
mouseX = centerX + diffX;
mouseY = centerY + diffY;
});
And here's the complete code: http://jsfiddle.net/fhmkf/