diff --git a/Lib/logging/handlers.py b/Lib/logging/handlers.py
index 8e569a7..e0da254 100644
--- a/Lib/logging/handlers.py
+++ b/Lib/logging/handlers.py
@@ -44,6 +44,8 @@
 DEFAULT_SOAP_LOGGING_PORT   = 9023
 SYSLOG_UDP_PORT             = 514
 
+_MIDNIGHT = 24 * 60 * 60  # number of seconds in a day
+
 class BaseRotatingHandler(logging.FileHandler):
     """
     Base class for handlers that rotate log files at a certain point.
@@ -217,12 +219,8 @@
             currentMinute = t[4]
             currentSecond = t[5]
             # r is the number of seconds left between now and midnight
-            if (currentMinute == 0) and (currentSecond == 0):
-                r = (24 - currentHour) * 60 * 60 # number of hours in seconds
-            else:
-                r = (23 - currentHour) * 60 * 60
-                r = r + (59 - currentMinute) * 60 # plus the number of minutes (in secs)
-                r = r + (60 - currentSecond) # plus the number of seconds
+            r = _MIDNIGHT - ((currentHour * 60 + currentMinute) * 60 +
+                    currentSecond)
             self.rolloverAt = currentTime + r
             # If we are rolling over on a certain day, add in the number of days until
             # the next rollover, but offset by 1 since we just calculated the time