There is a precedent in the Emacs manual -- Appendix E, Antinews: "For
those users who live backwards in time [...]"

:-)

I admit there may not be great practical utility in a negative time
range.  But the interval is well-defined so it ought to be computed
correctly.  I would say that a wrong answer is worse than no answer
since it may be believed correct at first glance, when it is not.

Anyway, I'm including a patch for 6.09 which seems to fix the problem....

On Thu, Oct 16, 2008 at 12:39 PM, Carsten Dominik
<[EMAIL PROTECTED]> wrote:
> Hi Chris,
>
> what could possibly be the purpose of a negative time range?  Are you
> working for a secret government agency?
>
> :-)
>
> - Carsten
--- /home/cleyon/u/share/emacs/site-lisp/org-6.09/lisp/org.el	2008-10-09 10:25:12.000000000 -0400
+++ org.el	2008-10-16 21:57:45.000000000 -0400
@@ -2511,11 +2511,12 @@
 		      (apply 'encode-time (org-parse-time-string te)))
 		     (time-to-seconds
 		      (apply 'encode-time (org-parse-time-string ts))))
-		h (floor (/ s 3600))
+		sign (if (< s 0) "-" "")
+		h (truncate (/ s 3600))
 		s (- s (* 3600 h))
-		m (floor (/ s 60))
+		m (truncate (/ s 60))
 		s (- s (* 60 s)))
-	  (insert " => " (format "%2d:%02d" h m))
+	  (insert " => " (format "%s%d:%02d" sign (abs h) (abs m)))
 	  t))))))
 
 (defun org-check-running-clock ()
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