function getEllipsesUnderPoint(set, x, y) {
    var ret = {
        under: [],
        not: []
    };

    for (var i = 0; i < set.length; i++) {
        var ei = set[i];
        var cx = ei.attr("cx");
        var cy = ei.attr("cy");
        var rx = ei.attr("rx");
        var ry = ei.attr("ry");

        var transformX = ei.matrix.invert().x(x,y);
        var transformY = ei.matrix.invert().y(x,y);

        var dx = (transformX - cx);
        var dy = (transformY - cy);

        var distance = ((dx*dx)/(rx*rx) + (dy*dy)/(ry*ry));

        if (distance <= 1) {
            ret['under'].push(ei);
        }
        else {
            ret['not'].push(ei);
        }
    }
    return ret;
};