is there no way to create a reversed (i.e. right-t

I'm trying to create a selection that goes from right to left in the text, but it seems the DOM Range API doesn't let me do that. (I don't see anything about this in the spec - not that I read it closely - but all implementations seem to agree on not supporting it.)

For example, given a very minimal document:

data:text/html,<div> this is a test </div>

I can use this script to enable editing and create a normal selection (for example from a bookmarklet, but line wrapping added for clarity):

javascript:document.designMode='on';
var r=document.createRange(),d=document.getElementsByTagName('div')[0]; 
r.setStart(d.firstChild, 3); 
r.setEnd(d.firstChild, 7); 
window.getSelection().addRange(r); void(0);

However, if I swap 3 and 7 no selection is created.

Does anyone know a way to do this?

It's possible in recent versions of all major browsers except IE via the extend() method of the Selection object. Here's a function that creates a backwards selection from a Range:

function selectRangeBackwards(range) {
    var sel = window.getSelection();
    var endRange = range.cloneRange();
    endRange.collapse(false);
    sel.removeAllRanges();
    sel.addRange(endRange);
    sel.extend(range.startContainer, range.startOffset);
}

This is not possible in any version of IE (up to and including version 11). While IE 9 and later does implement DOM Level 2 Range and HTML5 Text Selection (now migrated to the WHATWG Range spec), the version of the spec at the time they implemented it did not include extend(), so IE 9 does not support it (see also this bug for further discussion of backwards selections).

Here is the request to implement extend() in the IE bug tracker: https://connect.microsoft.com/IE/feedback/details/737106/implement-missing-extend-method-of-selection

In earlier versions of IE, the selection API is completely different and does not have any support for programmatically creating backwards selections either.