How to get the mouse position without events (without moving the mouse)?

Is it possible to get the mouse position with JavaScript after page loads without any mouse movement event (without moving the mouse)?

Real answer: No, it's not possible.

OK, I have just thought of a way. Overlay your page with a div that covers the whole document. Inside that, create (say) 2,000 x 2,000 <a> elements (so that the :hover pseudo-class will work in IE 6, see), each 1 pixel in size. Create a CSS :hover rule for those <a> elements that changes a property (let's say font-family). In your load handler, cycle through each of the 4 million <a> elements, checking currentStyle / getComputedStyle() until you find the one with the hover font. Extrapolate back from this element to get the co-ordinates within the document.

N.B. DON'T DO THIS.

Edit 2020: This does not work any more. It seems so, that the browser vendors patched this out. Because the most browsers rely on chromium, it might be in its core.

Old answer: You can also hook mouseenter (this event is fired after page reload, when the mousecursor is inside the page). Extending Corrupted's code should do the trick:

var x = null;
var y = null;
    
document.addEventListener('mousemove', onMouseUpdate, false);
document.addEventListener('mouseenter', onMouseUpdate, false);
    
function onMouseUpdate(e) {
  x = e.pageX;
  y = e.pageY;
  console.log(x, y);
}

function getMouseX() {
  return x;
}

function getMouseY() {
  return y;
}

You can also set x and y to null on mouseleave-event. So you can check if the user is on your page with it's cursor.