Rounding time to nearest hourly quarter

I have several records like
2/19/2010 1:25:46.000000 PM
2/19/2010 1:40:46.000000 PM
2/19/2010 1:55:46.000000 PM
2/19/2010 2:10:46.000000 PM
I want to round them off to the nearest quarter like
2/19/2010 1:30:00.000000 PM
2/19/2010 1:45:00.000000 PM
2/19/2010 2:00:00.000000 PM
2/19/2010 2:15:00.000000 PM
Any ideas how I would do that? a trunc(col,'mi) only lets me round it to the minute..
Note that records are not necessarily in the 5 minute interval difference it can also be 7 minute difference or 4 minute difference from the nearest quarter...
so I can also have records like
SysUpTime     2/19/2010 10:31:00 PM
SysUpTime     2/19/2010 10:57:00 PM
SysUpTime     2/19/2010 11:31:00 PM
etc.
Edited by: zebango on Mar 9, 2010 4:16 PM

Solomon Yakobson wrote:
But OP asked for "*Rounding* time to nearest hourly quarter". Same applies to Aketi's solution which, BTW, which always bumps it up to next 5 min.In which case, just substitute "Round" for "Floor"!
Although thinking about it, you'd probably want to add seconds into the mix:
with table_x as (select to_timestamp('11/03/2010 11:45:39', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 11:52:29', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 11:52:30', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 11:52:31', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 12:00:01', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 12:07:29', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 12:07:31', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 13:22:10', 'dd/mm/yyyy hh24:mi:ss') t from dual union all
                 select to_timestamp('11/03/2010 13:22:40', 'dd/mm/yyyy hh24:mi:ss') t from dual)
select t,
       trunc(t, 'hh') + ROUND((to_char(t, 'mi') + (to_char(t, 'ss')/60))/15)*15/1440 nearest_15_min
from   table_x
T                                NEAREST_15_MIN      
11/03/2010 11:45:39.000000       11/03/2010 11:45:00 
11/03/2010 11:52:29.000000       11/03/2010 11:45:00 
11/03/2010 11:52:30.000000       11/03/2010 12:00:00 
11/03/2010 11:52:31.000000       11/03/2010 12:00:00 
11/03/2010 12:00:01.000000       11/03/2010 12:00:00 
11/03/2010 12:07:29.000000       11/03/2010 12:00:00 
11/03/2010 12:07:31.000000       11/03/2010 12:15:00 
11/03/2010 13:22:10.000000       11/03/2010 13:15:00 
11/03/2010 13:22:40.000000       11/03/2010 13:30:00 

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