I *know* I have seen this addressed recently, but I've been flipping
through the javadocs, googling, and search google groups, all without
success.

I have a JPanel that has a JButton.  How can I translate a point in
one to the coordinate space of the other?

The more general problem I am trying to address:

http://bugs.sun.com/bugdatabase/view_bug.do?bug_id=6359129

The idea is, since the clicks don't work if the popup goes beyond the
browser, I can instead move the popup higher so that it fits within
the browser window.  But I'm using

popup.show(button, 5, button.getHeight() - 7);

(showing the popup in the JButton's coordinate space), and I need to
know where it is displaying relative to the JPanel (actually, I guess
it would suffice to know where it is displaying relative to the entire
applet window).