time_manager.F90

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!***********************************************************************
!*                   GNU Lesser General Public License
!*
!* This file is part of the GFDL Flexible Modeling System (FMS).
!*
!* FMS is free software: you can redistribute it and/or modify it under
!* the terms of the GNU Lesser General Public License as published by
!* the Free Software Foundation, either version 3 of the License, or (at
!* your option) any later version.
!*
!* FMS is distributed in the hope that it will be useful, but WITHOUT
!* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
!* FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
!* for more details.
!*
!* You should have received a copy of the GNU Lesser General Public
!* License along with FMS.  If not, see <http://www.gnu.org/licenses/>.
!***********************************************************************
module time_manager_mod

! <CONTACT EMAIL="fms@gfdl.noaa.gov">
!   fms
! </CONTACT>

! <HISTORY SRC="http://www.gfdl.noaa.gov/fms-cgi-bin/cvsweb.cgi/FMS/"/>

! <OVERVIEW>
!   A software package that provides a set of simple interfaces for
!   modelers to perform computations related to time and dates.
! </OVERVIEW>

! <DESCRIPTION>
!    The changes between the lima revision and this revision are more
!    extensive that all those between antwerp and lima.
!    A brief description of these changes follows.
!
!    1) Added option to set the smallest time increment to something less than one second.
!       This is controlled by calling the pubic subroutine set_ticks_per_second.
!
!    2) Gregorian calendar fixed.
!
!    3) Optional error flag added to calling arguments of public routines.
!       This allows the using routine to terminate the program. It is likely that more
!       diagnostic information is available from the user than from time_manager alone.
!       If the error flag is present then it is the responsibility of the using
!       routine to test it and add additional information to the error message.
!
!    4) Removed the restriction that time increments be positive in routines that increment or decrement
!       time and date. The option to prohibit negative increments can be turned on via optional argument.
!
!    5) subroutine set_date_c modified to handle strings that include only hours or only hours and minutes.
!       This complies with CF convensions.
!
!    6) Made calendar specific routines private.
!       They are not used, and should not be used, by any using code.
!
!    7) Error messages made more informative.
!
!    The module defines a type that can be used to represent discrete
!    times (accurate to one second) and to map these times into dates
!    using a variety of calendars. A time is mapped to a date by
!    representing the time with respect to an arbitrary base date (refer
!    to <B>NOTES</B> section for the <LINK SRC="#base date">base date</LINK> setting).
!
!    The time_manager provides a single defined type, time_type, which is
!    used to store time and date quantities. A time_type is a positive
!    definite quantity that represents an interval of time. It can be
!    most easily thought of as representing the number of seconds in some
!    time interval. A time interval can be mapped to a date under a given
!    calendar definition by using it to represent the time that has passed
!    since some base date. A number of interfaces are provided to operate
!    on time_type variables and their associated calendars. Time intervals
!    can be as large as n days where n is the largest number represented by
!    the default integer type on a compiler. This is typically considerably
!    greater than 10 million years (assuming 32 bit integer representation)
!    which is likely to be adequate for most applications. The description
!    of the interfaces is separated into two sections. The first deals with
!    operations on time intervals while the second deals with operations
!    that convert time intervals to dates for a given calendar.

!    The smallest increment of time is referred to as a tick.
!    A tick cannot be larger than 1 second, which also is the default.
!    The number of ticks per second is set via pubic subroutine set_ticks_per_second.
!    For example, ticks_per_second = 1000  will set the tick to one millisecond.
! </DESCRIPTION>

! <DATA NAME="time_type" TYPE="derived type">
!    Derived-type data variable used to store time and date quantities. It
!    contains three PRIVATE variables: days, seconds and ticks.
! </DATA>

#include <fms_platform.h>

use constants_mod, only: rseconds_per_day=>seconds_per_day
use fms_mod, only: error_mesg, fatal, warning, write_version_number, stdout

implicit none
private

! Module defines a single type
public time_type

! Operators defined on time_type
public operator(+),  operator(-),   operator(*),   operator(/),  &
       operator(>),  operator(>=),  operator(==),  operator(/=), &
       operator(<),  operator(<=),  operator(//),  assignment(=)

! Subroutines and functions operating on time_type
public set_time, increment_time, decrement_time, get_time, interval_alarm
public repeat_alarm, time_type_to_real, real_to_time_type
public time_list_error

! List of available calendar types
public    thirty_day_months,    julian,    gregorian,  noleap,   no_calendar, invalid_calendar

! Subroutines and functions involving relations between time and calendar
public set_calendar_type
public get_calendar_type
public set_ticks_per_second
public get_ticks_per_second
public set_date
public get_date
public increment_date
public decrement_date
public days_in_month
public leap_year
public length_of_year
public days_in_year
public day_of_year
public month_name

public valid_calendar_types

! Subroutines for printing version number and time type
public :: time_manager_init, print_time, print_date

! The following exist only for interpolator.F90
! interpolator.F90 uses them to do a calendar conversion,
! which is also done by get_cal_time. interpolator.F90
! should be modified to use get_cal_time instead.
! After interpolator.F90 is fixed, these can be removed
! and the corresponding private routines can be renamed.
! (e.g., rename set_date_julian_private to be just set_date_julian)
public :: set_date_julian, set_date_no_leap, get_date_julian, get_date_no_leap

public :: date_to_string

!====================================================================

! Global data to define calendar type
integer, parameter :: thirty_day_months = 1,      julian = 2, &
                      gregorian = 3,              noleap = 4, &
                      no_calendar = 0,  invalid_calendar =-1
integer, private :: calendar_type = no_calendar
integer, parameter :: max_type = 4

! Define number of days per month
integer, private :: days_per_month(12) = (/31,28,31,30,31,30,31,31,30,31,30,31/)
integer, parameter :: seconds_per_day = rseconds_per_day  ! This should automatically cast real to integer
integer, parameter :: days_in_400_year_period = 146097    ! Used only for gregorian
integer, dimension(days_in_400_year_period) :: coded_date ! Used only for gregorian
integer, dimension(400,12,31) :: date_to_day              ! Used only for gregorian
integer, parameter :: invalid_date=-1                     ! Used only for gregorian

! time_type is implemented as seconds and days to allow for larger intervals
type time_type
   private
   integer:: seconds
   integer:: days
   integer:: ticks
   integer:: dummy ! added as a workaround bug on IRIX64 (AP)
end type time_type

!======================================================================

interface operator (+);   module procedure time_plus;        end interface
interface operator (-);   module procedure time_minus;       end interface
interface operator (*);   module procedure time_scalar_mult 
                          module procedure scalar_time_mult; end interface
interface operator (/);   module procedure time_scalar_divide
                          module procedure time_divide;      end interface
interface operator (>);   module procedure time_gt;          end interface
interface operator (>=);  module procedure time_ge;          end interface
interface operator (<);   module procedure time_lt;          end interface
interface operator (<=);  module procedure time_le;          end interface
interface operator (==);  module procedure time_eq;          end interface
interface operator (/=);  module procedure time_ne;          end interface
interface operator (//);  module procedure time_real_divide; end interface
interface assignment(=);  module procedure time_assignment;  end interface

!======================================================================

interface set_time
  module procedure set_time_i, set_time_c
end interface

interface set_date
  module procedure set_date_i, set_date_c
end interface

!======================================================================

! Include variable "version" to be written to log file.
#include<file_version.h>
logical :: module_is_initialized = .false.

!======================================================================

!  A tick is the smallest increment of time.
!  That is, smallest increment of time = (1/ticks_per_second) seconds

integer :: ticks_per_second = 1

!======================================================================
contains

! First define all operations on time intervals independent of calendar

!=========================================================================
! <FUNCTION NAME="set_time">

!   <OVERVIEW>
!     Given some number of seconds and days, returns the
!     corresponding time_type.
!   </OVERVIEW>
!   <DESCRIPTION>
!     Given some number of seconds and days, returns the
!     corresponding time_type. set_time has two forms;
!     one accepts integer input, the other a character string.
!     For the first form, there are no restrictions on the range of the inputs,
!     except that the result must be positive time.
!     e.g. days=-1, seconds=86401 is acceptable.
!     For the second form, days and seconds must both be positive.
!   </DESCRIPTION>
!   <TEMPLATE>
!     1. set_time(seconds, days, ticks, err_msg)
!   </TEMPLATE>
!   <TEMPLATE>
!     2. set_time(time_string, err_msg, allow_rounding)
!   </TEMPLATE>

!   <IN NAME="seconds" UNITS="" TYPE="integer" DIM="(scalar)">
!     A number of seconds.
!   </IN>
!   <IN NAME="days" UNITS="" TYPE="integer" DIM="(scalar)">
!     A number of days.
!   </IN>
!   <IN NAME="ticks" UNITS="" TYPE="integer, optional" DIM="(scalar)">
!     A number of ticks.
!   </IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <IN NAME="time_string" TYPE="character">
!     Contains days and seconds separated by a single blank.
!     days must be integer, seconds may be integer or real.
!     Examples: '100 43200'  '100 43200.50'
!   </IN>
!   <IN NAME="allow_rounding"   TYPE="logical, optional" DEFAULT=".true.">
!     When .true., any fractions of a second will be rounded off to the nearest tick.
!     When .false., it is a fatal error if the second fraction cannot be exactly
!     represented by a number of ticks.
!   </IN>
!   <OUT NAME="set_time" UNITS="" TYPE="" DIM="" DEFAULT="">
!     A time interval corresponding to this number of days and seconds.
!   </OUT>

 function set_time_private(seconds, days, ticks, Time_out, err_msg)

! Returns a time interval corresponding to this number of days, seconds, and ticks.
! days, seconds and ticks may be negative, but resulting time must be positive.

! -- pjp --
! To understand why inputs may be negative,
! one needs to understand the intrinsic function "modulo".
! The expanation below is copied from a web page on fortran 90

! In addition, CEILING, FLOOR  and MODULO  have been added to Fortran 90.
! Only the last one is difficult to explain, which is most easily done with the examples from ISO (1991)

! MOD (8,5)    gives  3     MODULO (8,5)    gives  3
! MOD (-8,5)   gives -3     MODULO (-8,5)   gives  2
! MOD (8,-5)   gives  3     MODULO (8,-5)   gives -2
! MOD (-8,-5)  gives -3     MODULO (-8,-5)  gives -3

! I don't think it is difficult to explain.
! I think that is it sufficient to say this:
! "The result of modulo(n,m) has the sign of m"
! -- pjp --

 logical                       :: set_time_private
 integer, intent(in)           :: seconds, days, ticks
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg
 integer            :: seconds_new, days_new, ticks_new

 seconds_new = seconds + floor(ticks/real(ticks_per_second))
 ticks_new = modulo(ticks,ticks_per_second)
 days_new = days + floor(seconds_new/real(seconds_per_day))
 seconds_new = modulo(seconds_new,seconds_per_day)

 if ( seconds_new < 0 .or. ticks_new < 0) then
   call error_mesg('function set_time_i','Bad result for time. Contact those responsible for maintaining time_manager',fatal)
 endif

 if(days_new < 0) then
   write(err_msg,'(a,i6,a,i6,a,i6)') 'time is negative. days=',days_new,' seconds=',seconds_new,' ticks=',ticks_new
   set_time_private = .false.
 else
   time_out%days = days_new
   time_out%seconds = seconds_new
   time_out%ticks = ticks_new
   err_msg = ''
   set_time_private = .true.
 endif

 end function set_time_private
!---------------------------------------------------------------------------

 function set_time_i(seconds, days, ticks, err_msg)
 type(time_type)               :: set_time_i
 integer, intent(in)           :: seconds
 integer, intent(in), optional :: days, ticks
 character(len=*), intent(out), optional :: err_msg
 character(len=128) :: err_msg_local
 integer            :: odays, oticks

 if(.not.module_is_initialized) call time_manager_init

 odays  = 0; if(present(days))  odays  = days
 oticks = 0; if(present(ticks)) oticks = ticks
 if(present(err_msg)) err_msg = ''
 
 if(.not.set_time_private(seconds, odays, oticks, set_time_i, err_msg_local)) then
   if(error_handler('function set_time_i', trim(err_msg_local), err_msg)) return
 endif

 end function set_time_i
!---------------------------------------------------------------------------

 function set_time_c(string, err_msg, allow_rounding)

 type(time_type) :: set_time_c
 character(len=*), intent(in) :: string
 character(len=*), intent(out), optional :: err_msg
 logical, intent(in), optional :: allow_rounding

 character(len=4) :: formt='(i )'
 integer :: i1, i2, i3, day, second, tick, nsps
 character(len=32) :: string_sifted_left
 character(len=128) :: err_msg_local
 logical :: allow_rounding_local

 if(.not.module_is_initialized) call time_manager_init
 if(present(err_msg)) err_msg = ''
 allow_rounding_local=.true.; if(present(allow_rounding)) allow_rounding_local=allow_rounding

 err_msg_local = 'Form of character time stamp is incorrect. The character time stamp is: '//trim(string)

 string_sifted_left = adjustl(string)
 i1 = index(trim(string_sifted_left),' ')
 if(i1 == 0) then
   if(error_handler('function set_time_c', err_msg_local, err_msg)) return
 endif
 if(index(string,'-') /= 0 .or. index(string,':') /= 0) then
   if(error_handler('function set_time_c', err_msg_local, err_msg)) return
 endif

 i2 = index(trim(string_sifted_left),'.')
 i3 = len_trim(cut0(string_sifted_left))

 if(i2 /= 0) then ! There is no decimal point
 ! Check that decimal is on seconds (not days)
   if(i2 < i1) then
     if(error_handler('function set_time_c', err_msg_local, err_msg)) return
   endif
 endif
 write(formt(3:3),'(i1)') i1-1
 read(string_sifted_left(1:i1-1),formt) day

 if(i2 == 0) then ! There is no decimal point
   write(formt(3:3),'(i1)') i3-i1
   read(string_sifted_left(i1+1:i3),formt) second
   tick = 0
 else ! There is a decimal point
 ! nsps = spaces occupied by whole number of seconds
   nsps = i2-i1-1
   if(nsps == 0) then
     second = 0
   else
     write(formt(3:3),'(i1)') nsps
     read(string_sifted_left(i1+1:i2-1),formt) second
   endif

   if(.not.get_tick_from_string(string_sifted_left(i2:i3), err_msg_local, allow_rounding_local, tick)) then
     if(error_handler('function set_time_c', err_msg_local, err_msg)) return
   endif
 ! If tick has been rounded up to ticks_per_second, then bump up second.
   if(tick == ticks_per_second) then
     second = second + 1
     tick = 0
   endif
 endif

 if(.not.set_time_private(second, day, tick, set_time_c, err_msg_local)) then
   if(error_handler('function set_time_c', err_msg_local, err_msg)) return
 endif

 end function set_time_c
!---------------------------------------------------------------------------
! </FUNCTION>

 function get_tick_from_string(string, err_msg, allow_rounding, tick)

 logical :: get_tick_from_string
 character(len=*), intent(in) :: string
 character(len=*), intent(out) :: err_msg
 logical, intent(in) :: allow_rounding
 integer, intent(out) :: tick

 character(len=4) :: formt='(i )'
 integer :: i3, nspf, fraction, magnitude, tpsfrac

 err_msg = ''
 get_tick_from_string = .true.
 i3 = len_trim(string)
 nspf = i3 - 1 ! nspf = spaces occupied by fractional seconds, excluding decimal point
 if(nspf == 0) then
   tick = 0 ! Nothing to the right of the decimal point
 else
   write(formt(3:3),'(i1)') nspf
   read(string(2:i3),formt) fraction
   if(fraction == 0) then
     tick = 0 ! All zeros to the right of the decimal point
   else
     magnitude = 10**nspf
     tpsfrac = ticks_per_second*fraction
     if(allow_rounding) then
       tick = nint((real(tpsfrac)/magnitude))
     else 
       if(modulo(tpsfrac,magnitude) == 0) then
         tick = tpsfrac/magnitude
       else
         write(err_msg,'(a,i6)') 'Second fraction cannot be exactly represented with ticks.  '// &
                                 'fraction='//trim(string)//'  ticks_per_second=',ticks_per_second 
         get_tick_from_string = .false.
       endif
     endif 
   endif
 endif

 end function get_tick_from_string
!---------------------------------------------------------------------------
! <SUBROUTINE NAME="get_time">

!   <OVERVIEW>
!     Given a time interval, returns the corresponding seconds and days.
!   </OVERVIEW>
!   <DESCRIPTION>
!     Given a time interval, returns the corresponding seconds and days.
!   </DESCRIPTION>
!   <TEMPLATE>
!     get_time(time, seconds, days, ticks, err_msg)
!   </TEMPLATE>

!   <IN NAME="time" TYPE="time_type">
!     A time interval. 
!   </IN>
!   <OUT NAME="seconds" UNITS="" TYPE="integer" DIM="(scalar)">
!     A number of seconds.
!   </OUT>
!   <OUT NAME="days" UNITS="" TYPE="integer" DIM="(scalar)">
!     A number of days.
!   </OUT>
!   <OUT NAME="ticks" UNITS="" TYPE="integer, optional" DIM="(scalar)">
!     A number of ticks.
!   </OUT>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>

subroutine get_time(Time, seconds, days, ticks, err_msg)

! Returns days and seconds ( < 86400 ) corresponding to a time.

type(time_type), intent(in) :: time
integer, intent(out) :: seconds
integer, intent(out), optional :: days, ticks
character(len=*), intent(out), optional :: err_msg
character(len=128) :: err_msg_local

if(.not.module_is_initialized) call time_manager_init
if(present(err_msg)) err_msg = ''

seconds = time%seconds

if(present(ticks)) then
  ticks = time%ticks
else
  if(time%ticks /= 0) then
    err_msg_local = 'subroutine get_time: ticks must be present when time has a second fraction'
    if(error_handler('subroutine get_time', err_msg_local, err_msg)) return
  endif
endif

if (present(days)) then
  days = time%days
else
  if (time%days > (huge(seconds) - seconds)/seconds_per_day) then
    err_msg_local = 'Integer overflow in seconds. Optional argument days must be present.'
    if(error_handler('subroutine get_time', err_msg_local, err_msg)) return
  endif
  seconds = seconds + time%days * seconds_per_day
endif

end subroutine get_time
! </SUBROUTINE>

!-------------------------------------------------------------------------
! <FUNCTION NAME="increment_time">

!   <OVERVIEW>
!      Given a time and an increment of days and seconds, returns
!      a time that adds this increment to an input time.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Given a time and an increment of days and seconds, returns
!      a time that adds this increment to an input time.
!      Increments a time by seconds and days.
!   </DESCRIPTION>
!   <TEMPLATE>
!     increment_time(time, seconds, days, ticks, err_msg, allow_neg_inc)
!   </TEMPLATE>

!   <IN NAME="time"  TYPE="time_type" DIM="(scalar)">
!      A time interval.
!   </IN>
!   <IN NAME="seconds"  TYPE="integer" DIM="(scalar)">
!     Increment of seconds.
!   </IN>
!   <IN NAME="days" UNITS="" TYPE="integer, optional" DIM="(scalar)">
!     Increment of days.
!   </IN>
!   <IN NAME="ticks"  TYPE="integer, optional" DIM="(scalar)">
!     Increment of ticks.
!   </IN>
!   <OUT NAME="increment_time"  TYPE="time_type" DIM="(scalar)">
!     A time that adds this increment to the input time.
!     A negative result is a fatal error.
!   </OUT>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <IN NAME="allow_neg_inc" TYPE="logical, optional" DIM="(scalar)" DEFAULT=".true.">
!     When .false., it is a fatal error if any of the input time increments are negative.
!     This mimics the behavior of lima and earlier revisions.
!   </IN>

 function increment_time(Time, seconds, days, ticks, err_msg, allow_neg_inc)

! Increments a time by seconds, days and ticks.

 type(time_type)               :: increment_time
 type(time_type), intent(in)   :: time
 integer, intent(in)           :: seconds
 integer, intent(in), optional :: days, ticks
 character(len=*), intent(out), optional :: err_msg
 logical, intent(in), optional :: allow_neg_inc

 integer :: odays, oticks
 character(len=128) :: err_msg_local
 logical :: allow_neg_inc_local

 odays  = 0; if(present(days))  odays  = days
 oticks = 0; if(present(ticks)) oticks = ticks
 allow_neg_inc_local=.true.; if(present(allow_neg_inc)) allow_neg_inc_local=allow_neg_inc

 if(.not.allow_neg_inc_local) then
   if(seconds < 0 .or. odays < 0 .or. oticks < 0) then
     write(err_msg_local,10) seconds, odays, oticks
     10 format('One or more time increments are negative: seconds=',i6,'  days=',i6,'  ticks=',i6)
     if(error_handler('function increment_time', err_msg_local, err_msg)) return
   endif
 endif

 if(.not.increment_time_private(time, seconds, odays, oticks, increment_time, err_msg_local)) then
   if(error_handler('function increment_time', err_msg_local, err_msg)) return
 endif

 end function increment_time
! </FUNCTION>
!--------------------------------------------------------------------------

 function increment_time_private(Time_in, seconds, days, ticks, Time_out, err_msg)

! Increments a time by seconds, days and ticks.

 logical                       :: increment_time_private
 type(time_type),  intent(in)  :: time_in
 integer,          intent(in)  :: seconds, days, ticks
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg

! Watch for immediate overflow on days or seconds
 if(days >= huge(days) - time_in%days)  then
   err_msg = 'Integer overflow in days in increment_time'
   increment_time_private = .false.
   return
 endif
 if(seconds >= huge(seconds) - time_in%seconds) then
   err_msg = 'Integer overflow in seconds in increment_time'
   increment_time_private = .false.
   return
 endif

 increment_time_private = set_time_private(time_in%seconds+seconds, time_in%days+days, time_in%ticks+ticks, time_out, err_msg)

 end function increment_time_private

!--------------------------------------------------------------------------
! <FUNCTION NAME="decrement_time">

!   <OVERVIEW>
!      Given a time and a decrement of days and seconds, returns
!      a time that subtracts this decrement from an input time. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      Decrements a time by seconds and days.
!   </DESCRIPTION>
!   <TEMPLATE>
!     Decrement_time(time, seconds, days, ticks, err_msg, allow_neg_inc)
!   </TEMPLATE>

!   <IN NAME="time"  TYPE="time_type" DIM="(scalar)">
!      A time interval.
!   </IN>
!   <IN NAME="seconds"  TYPE="integer" DIM="(scalar)">
!     Decrement of seconds.
!   </IN>    
!   <IN NAME="days"  TYPE="integer, optional" DIM="(scalar)">
!     Decrement of days.
!   </IN>
!   <IN NAME="ticks"  TYPE="integer, optional" DIM="(scalar)">
!     Decrement of ticks.
!   </IN>
!   <OUT NAME="decrement_time"  TYPE="time_type">
!      A time that subtracts this decrement from an input time.
!      A negative result is a fatal error.
!   </OUT>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <IN NAME="allow_neg_inc" TYPE="logical, optional" DIM="(scalar)" DEFAULT=".true.">
!     When .false., it is a fatal error if any of the input time increments are negative.
!     This mimics the behavior of lima and earlier revisions.
!   </IN>

function decrement_time(Time, seconds, days, ticks, err_msg, allow_neg_inc)

! Decrements a time by seconds, days and ticks.

type(time_type)               :: decrement_time
type(time_type), intent(in)   :: time
integer, intent(in)           :: seconds
integer, intent(in), optional :: days, ticks
character(len=*), intent(out), optional :: err_msg
logical, intent(in), optional :: allow_neg_inc

integer            :: odays, oticks
character(len=128) :: err_msg_local
logical :: allow_neg_inc_local

odays  = 0;  if (present(days))   odays = days
oticks = 0;  if (present(ticks)) oticks = ticks
allow_neg_inc_local=.true.; if(present(allow_neg_inc)) allow_neg_inc_local=allow_neg_inc

if(.not.allow_neg_inc_local) then
  if(seconds < 0 .or. odays < 0 .or. oticks < 0) then
    write(err_msg_local,10) seconds,odays,oticks
    10 format('One or more time increments are negative: seconds=',i6,'  days=',i6,'  ticks=',i6)
    if(error_handler('function decrement_time', err_msg_local, err_msg)) return
  endif
endif

 if(.not.increment_time_private(time, -seconds, -odays, -oticks, decrement_time, err_msg_local)) then
   if(error_handler('function decrement_time', err_msg_local, err_msg)) return
 endif

end function decrement_time
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_gt  operator(>)">

!   <OVERVIEW>
!      Returns true if time1 > time2.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if time1 > time2.
!   </DESCRIPTION>
!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="logical" DIM="" DEFAULT="">
!       Returns true if time1 > time2
!   </OUT>
!   <TEMPLATE>
!     time_gt(time1, time2)
!   </TEMPLATE>

function time_gt(time1, time2)

! Returns true if time1 > time2

logical :: time_gt
type(time_type), intent(in) :: time1, time2

time_gt = (time1%days > time2%days)
if(time1%days == time2%days) then
   if(time1%seconds == time2%seconds) then
      time_gt = (time1%ticks > time2%ticks)
   else
      time_gt = (time1%seconds > time2%seconds)
   endif
endif

end function time_gt
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_ge; operator(>=)">

!   <OVERVIEW>
!      Returns true if time1 >= time2.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if time1 >= time2.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_ge(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="logical" DIM="" DEFAULT="">
!       Returns true if time1 >= time2
!   </OUT>

function time_ge(time1, time2)

! Returns true if time1 >= time2

logical :: time_ge
type(time_type), intent(in) :: time1, time2

time_ge = (time_gt(time1, time2) .or. time_eq(time1, time2))

end function time_ge
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_lt; operator(<)">

!   <OVERVIEW>
!      Returns true if time1 < time2.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if time1 < time2.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_lt(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="logical" DIM="" DEFAULT="">
!       Returns true if time1 < time2
!   </OUT>

function time_lt(time1, time2)

! Returns true if time1 < time2

logical :: time_lt
type(time_type), intent(in) :: time1, time2

time_lt = (time1%days < time2%days)
if(time1%days == time2%days)then
   if(time1%seconds == time2%seconds) then
      time_lt = (time1%ticks < time2%ticks)
   else
      time_lt = (time1%seconds < time2%seconds)
   endif
endif
end function time_lt
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_le; operator(<=)">

!   <OVERVIEW>
!      Returns true if time1 <= time2.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if time1 <= time2.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_le(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="logical" DIM="" DEFAULT="">
!       Returns true if time1 <= time2
!   </OUT>

function time_le(time1, time2)

! Returns true if time1 <= time2

logical :: time_le
type(time_type), intent(in) :: time1, time2

time_le = (time_lt(time1, time2) .or. time_eq(time1, time2))

end function time_le
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_eq; operator(==)">

!   <OVERVIEW>
!      Returns true if time1 == time2.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if time1 == time2.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_eq(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="logical" DIM="" DEFAULT="">
!       Returns true if time1 == time2
!   </OUT>

function time_eq(time1, time2)

! Returns true if time1 == time2

logical :: time_eq
type(time_type), intent(in) :: time1, time2

if(.not.module_is_initialized) call time_manager_init

time_eq = (time1%seconds == time2%seconds .and. time1%days == time2%days &
     .and. time1%ticks == time2%ticks)

end function time_eq
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_ne; operator(/=)">

!   <OVERVIEW>
!      Returns true if time1 /= time2.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if time1 /= time2.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_ne(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="logical" DIM="" DEFAULT="">
!       Returns true if time1 /= time2
!   </OUT>

function time_ne(time1, time2)

! Returns true if time1 /= time2

logical :: time_ne
type(time_type), intent(in) :: time1, time2

time_ne = (.not. time_eq(time1, time2))

end function time_ne
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="time_plus; operator(+)">

!   <OVERVIEW>
!       Returns sum of two time_types.
!   </OVERVIEW>
!   <TEMPLATE>
!     time1 + time2
!   </TEMPLATE>
!   <DESCRIPTION>
!       Returns sum of two time_types.
!   </DESCRIPTION>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="time_type" DIM="" DEFAULT="">
!       Returns sum of two time_types.
!   </OUT>

function time_plus(time1, time2)

! Returns sum of two time_types

type(time_type) :: time_plus
type(time_type), intent(in) :: time1, time2

if(.not.module_is_initialized) call time_manager_init

time_plus = increment_time(time1, time2%seconds, time2%days, time2%ticks)

end function time_plus
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="time_minus; operator(-)">

!   <OVERVIEW>
!       Returns difference of two time_types.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Returns difference of two time_types. WARNING: a time type is positive 
!       so by definition time1 - time2  is the same as time2 - time1.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_minus(time1, time2)
!   </TEMPLATE>
!   <TEMPLATE>
!     time1 - time2
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="time_type" DIM="" DEFAULT="">
!       Returns difference of two time_types.
!   </OUT>

function time_minus(time1, time2)

! Returns difference of two time_types. WARNING: a time type is positive 
! so by definition time1 - time2  is the same as time2 - time1.

type(time_type) :: time_minus
type(time_type), intent(in) :: time1, time2

if(.not.module_is_initialized) call time_manager_init

if(time1 > time2) then
   time_minus = decrement_time(time1, time2%seconds, time2%days, time2%ticks)
else 
   time_minus = decrement_time(time2, time1%seconds, time1%days, time1%ticks)
endif

end function time_minus
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="time_scalar_mult; operator(*)">

!   <OVERVIEW>
!       Returns time multiplied by integer factor n.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Returns time multiplied by integer factor n.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_scalar_mult(time, n)
!   </TEMPLATE>

!   <IN NAME="time" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="n" UNITS="" TYPE="integer" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="time_type" DIM="" DEFAULT="">
!       Returns time multiplied by integer factor n.
!   </OUT>

function time_scalar_mult(time, n)

! Returns time multiplied by integer factor n

type(time_type)             :: time_scalar_mult
type(time_type), intent(in) :: time
integer, intent(in)         :: n
integer                     :: days, seconds, ticks, num_sec
double precision            :: sec_prod, tick_prod

if(.not.module_is_initialized) call time_manager_init

! Multiplying here in a reasonable fashion to avoid overflow is tricky
! Could multiply by some large factor n, and seconds could be up to 86399
! Need to avoid overflowing integers and wrapping around to negatives
! ticks could be up to ticks_per_second-1

tick_prod = dble(time%ticks) * dble(n)
num_sec   = tick_prod/dble(ticks_per_second)
sec_prod  = dble(time%seconds) * dble(n) + num_sec
ticks     = tick_prod - num_sec * ticks_per_second

! If sec_prod is large compared to precision of double precision, things
! can go bad.  Need to warn and abort on this.
! The same is true of tick_prod but is is more likely to happen to sec_prod,
! so let's just test sec_prod. (A test of tick_prod would be necessary only
! if ticks_per_second were greater than seconds_per_day)
if(sec_prod /= 0.0) then
   if(log10(sec_prod) > precision(sec_prod) - 3) call error_mesg('time_scalar_mult', &
      'Insufficient precision to handle scalar product in time_scalar_mult; contact developer',fatal)
end if

days = sec_prod / dble(seconds_per_day)
seconds = sec_prod - dble(days) * dble(seconds_per_day)

time_scalar_mult = set_time(seconds, time%days * n + days, ticks)

end function time_scalar_mult
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="scalar_time_mult; operator(*)">

!   <OVERVIEW>
!       Returns time multiplied by integer factor n.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Returns time multiplied by integer factor n.
!   </DESCRIPTION>
!   <TEMPLATE>
!     n * time
!     scalar_time_mult(n, time)
!   </TEMPLATE>

!   <IN NAME="time" UNITS="" TYPE="time_type" DIM="">A time interval.</IN>
!   <IN NAME="n" UNITS="" TYPE="integer" DIM=""> An integer. </IN>
!   <OUT NAME="" UNITS="" TYPE="time_type" DIM="" DEFAULT="">
!       Returns time multiplied by integer factor n.
!   </OUT>

function scalar_time_mult(n, time)

! Returns time multipled by integer factor n

type(time_type) :: scalar_time_mult
type(time_type), intent(in) :: time
integer, intent(in) :: n

scalar_time_mult = time_scalar_mult(time, n)

end function scalar_time_mult
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="time_divide; operator(/)">

!   <OVERVIEW>
!       Returns the largest integer, n, for which time1 >= time2 * n.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Returns the largest integer, n, for which time1 >= time2 * n.
!   </DESCRIPTION>
!   <TEMPLATE>
!     n = time1 / time2
!     time_divide(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="integer" DIM="" DEFAULT="">
!       Returns the largest integer, n, for which time1 >= time2 * n.
!   </OUT>

function time_divide(time1, time2)

! Returns the largest integer, n, for which time1 >= time2 * n.

integer                     :: time_divide
type(time_type), intent(in) :: time1, time2
double precision            :: d1, d2

if(.not.module_is_initialized) call time_manager_init

! Convert time intervals to floating point days; risky for general performance?
d1 = time1%days * dble(seconds_per_day) + dble(time1%seconds) + time1%ticks/dble(ticks_per_second)
d2 = time2%days * dble(seconds_per_day) + dble(time2%seconds) + time2%ticks/dble(ticks_per_second)

! Get integer quotient of this, check carefully to avoid round-off problems.
time_divide = d1 / d2

! Verify time_divide*time2 is <= time1 and (time_divide + 1)*time2 is > time1
if(time_divide * time2 > time1 .or. (time_divide + 1) * time2 <= time1) &
   call error_mesg('time_divide',' quotient error :: notify developer',fatal)

end function time_divide
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="time_real_divide; operator(//)">

!   <OVERVIEW>
!       Returns the double precision quotient of two times.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Returns the double precision quotient of two times.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time1 // time2
!     time_real_divide(time1, time2)
!   </TEMPLATE>

!   <IN NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="integer" DIM="double precision" DEFAULT="">
!       Returns the double precision quotient of two times
!   </OUT>

function time_real_divide(time1, time2)

! Returns the double precision quotient of two times

double precision :: time_real_divide
type(time_type), intent(in) :: time1, time2
double precision :: d1, d2

if(.not.module_is_initialized) call time_manager_init

! Convert time intervals to floating point seconds; risky for general performance?
d1 = time1%days * dble(seconds_per_day) + dble(time1%seconds) + dble(time1%ticks)/dble(ticks_per_second)
d2 = time2%days * dble(seconds_per_day) + dble(time2%seconds) + dble(time2%ticks)/dble(ticks_per_second)

time_real_divide = d1 / d2

end function time_real_divide
! </FUNCTION>

!-------------------------------------------------------------------------
! <SUBROUTINE NAME="time_assignment; assignment(=)">

!   <OVERVIEW>
!       Assigns all components of the time_type variable on
!       RHS to same components of time_type variable on LHS.
!   </OVERVIEW>
!   <DESCRIPTION>         
!       Assigns all components of the time_type variable on
!       RHS to same components of time_type variable on LHS.
!   </DESCRIPTION> 
!   <TEMPLATE>
!     time1 = time2
!   </TEMPLATE>

!   <OUT NAME="time1" UNITS="" TYPE="time_type" DIM="">
!      A time type variable.
!   </OUT>
!   <IN NAME="time2" UNITS="" TYPE="time_type" DIM="">
!      A time type variable.
!   </IN>

subroutine time_assignment(time1, time2)
type(time_type), intent(out) :: time1
type(time_type), intent(in)  :: time2
   time1%seconds = time2%seconds
   time1%days    = time2%days
   time1%ticks   = time2%ticks
end subroutine time_assignment
! </SUBROUTINE>

!-------------------------------------------------------------------------
! <FUNCTION NAME="time_type_to_real">
!   <OVERVIEW>
!       Converts time to seconds and returns it as a real number
!   </OVERVIEW>
!   <DESCRIPTION>
!       Converts time to seconds and returns it as a real number
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_type_to_real(time)
!   </TEMPLATE>
!   <IN NAME="time" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>

function time_type_to_real(time)

real(DOUBLE_KIND)           :: time_type_to_real
type(time_type), intent(in) :: time

if(.not.module_is_initialized) call time_manager_init

time_type_to_real = dble(time%days) * 86400.d0 + dble(time%seconds) + &
     dble(time%ticks)/dble(ticks_per_second)

end function time_type_to_real
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="real_to_time_type">
!   <OVERVIEW>
!       Converts a real number of seconds to a time_type variable
!   </OVERVIEW>
!   <DESCRIPTION>
!       Converts a real number of seconds to a time_type variable
!   </DESCRIPTION>
!   <TEMPLATE>
!     real_to_time_type(x, err_msg)
!   </TEMPLATE>
!   <IN NAME="x" UNITS="" TYPE="real" DIM="">
!      A real number of seconds
!   </IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <OUT NAME="real_to_time_type"  TYPE="time_type">
!   </OUT>

 function real_to_time_type(x, err_msg)
 type(time_type)  :: real_to_time_type
 real, intent(in) :: x
 character(len=*), intent(out), optional :: err_msg
 integer          :: seconds, days, ticks
 real             :: real_ticks
 character(len=128) :: err_msg_local

 if(.not.module_is_initialized) call time_manager_init

 days = floor(x/86400.)
 seconds = int(x - 86400.*days)
 real_ticks = x - int(x)
 ticks = nint(real_ticks * ticks_per_second)
 if(.not.set_time_private(seconds, days, ticks, real_to_time_type, err_msg_local)) then
   if(error_handler('function real_to_time_type', err_msg_local, err_msg)) return
 endif

 end function real_to_time_type
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="time_scalar_divide; operator(/)">

!   <OVERVIEW>
!       Returns the largest time, t, for which n * t <= time.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Returns the largest time, t, for which n * t <= time.
!   </DESCRIPTION>
!   <TEMPLATE>
!     time_scalar_divide(time, n)
!   </TEMPLATE>

!   <IN NAME="time" UNITS="" TYPE="time_type" DIM="">
!      A time interval.
!   </IN>
!   <IN NAME="n" UNITS="" TYPE="integer" DIM="">
!      An integer factor.
!   </IN>
!   <OUT NAME="" UNITS="" TYPE="integer" DIM="double precision" DEFAULT="">
!       Returns the largest time, t, for which n * t <= time.
!   </OUT>

function time_scalar_divide(time, n)

! Returns the largest time, t, for which n * t <= time

type(time_type) :: time_scalar_divide
type(time_type), intent(in) :: time
integer, intent(in) :: n
double precision :: d, div, dseconds_per_day, dticks_per_second
integer :: days, seconds, ticks
type(time_type) :: prod1, prod2
character(len=128) tmp1,tmp2
logical :: ltmp

! Convert time interval to floating point days; risky for general performance?
dseconds_per_day  = dble(seconds_per_day)
dticks_per_second = dble(ticks_per_second)
d = time%days*dseconds_per_day*dticks_per_second + dble(time%seconds)*dticks_per_second + dble(time%ticks)
div = d/dble(n)

days = div/(dseconds_per_day*dticks_per_second)
seconds = div/dticks_per_second - days*dseconds_per_day
ticks = div - (days*dseconds_per_day + dble(seconds))*dticks_per_second
time_scalar_divide = set_time(seconds, days, ticks)

! Need to make sure that roundoff isn't killing this
prod1 = n * time_scalar_divide
prod2 = n * (increment_time(time_scalar_divide, days=0, seconds=0, ticks=1))
if(prod1 > time .or. prod2 <= time) then
   call get_time(time, seconds, days, ticks)
   write(tmp1,20) days,seconds,ticks
   call get_time(time_scalar_divide, seconds, days, ticks)
   write(tmp2,30) n,days,seconds,ticks
   ltmp = error_handler('time_scalar_divide',' quotient error:'//trim(tmp1)//trim(tmp2))
 20 format('time=',i7,' days, ',i6,' seconds, ',i6,' ticks')
 30 format('   time divided by',i6,'=',i7,' days, ',i6,' seconds, ',i6,' ticks')
endif

end function time_scalar_divide
! </FUNCTION>

!-------------------------------------------------------------------------
! <FUNCTION NAME="interval_alarm">

!   <OVERVIEW>
!     Given a time, and a time interval, this function returns true
!     if this is the closest time step to the alarm time. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      This is a specialized operation that is frequently performed in models.
!      Given a time, and a time interval, this function is true if this is the
!      closest time step to the alarm time. The actual computation is:
! 
!             if((alarm_time - time) &#60;&#61; (time_interval / 2))
! 
!      If the function is true, the alarm time is incremented by the
!      alarm_interval; WARNING, this is a featured side effect. Otherwise, the
!      function is false and there are no other effects. CAUTION: if the
!      alarm_interval is smaller than the time_interval, the alarm may fail to
!      return true ever again.  Watch
!      for problems if the new alarm time is less than time + time_interval
!   </DESCRIPTION>
!   <TEMPLATE>
!      interval_alarm(time, time_interval, alarm, alarm_interval)
!   </TEMPLATE>

!   <IN NAME="time" TYPE="time_type"> Current time.  </IN>
!   <IN NAME="time_interval" TYPE="time_type"> A time interval.  </IN>
!   <IN NAME="alarm_interval" TYPE="time_type"> A time interval. </IN>
!   <OUT NAME="interval_alarm" TYPE="logical">
!     Returns either True or false.
!   </OUT>
!   <INOUT NAME="alarm" TYPE="time_type">
!     An alarm time, which is incremented by the alarm_interval
!                   if the function is true.
!   </INOUT>

function interval_alarm(time, time_interval, alarm, alarm_interval)

! Supports a commonly used type of test on times for models.  Given the
! current time, and a time for an alarm, determines if this is the closest
! time to the alarm time given a time step of time_interval.  If this
! is the closest time (alarm - time <= time_interval/2), the function 
! returns true and the alarm is incremented by the alarm_interval.  Watch
! for problems if the new alarm time is less than time + time_interval

logical :: interval_alarm
type(time_type), intent(in) :: time, time_interval, alarm_interval
type(time_type), intent(inout) :: alarm

if((alarm - time) <= (time_interval / 2)) then
   interval_alarm = .true.
   alarm = alarm + alarm_interval
else
   interval_alarm = .false.
end if

end function interval_alarm
! </FUNCTION>

!--------------------------------------------------------------------------
! <FUNCTION NAME="repeat_alarm">

!   <OVERVIEW>
!      Repeat_alarm supports an alarm that goes off with
!      alarm_frequency and lasts for alarm_length. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      Repeat_alarm supports an alarm that goes off with alarm_frequency and
!      lasts for alarm_length.  If the nearest occurence of an alarm time
!      is less than half an alarm_length from the input time, repeat_alarm
!      is true.  For instance, if the alarm_frequency is 1 day, and the 
!      alarm_length is 2 hours, then repeat_alarm is true from time 2300 on 
!      day n to time 0100 on day n + 1 for all n.
!   </DESCRIPTION>
!   <TEMPLATE>
!      repeat_alarm(time, alarm_frequency, alarm_length)
!   </TEMPLATE>

!   <IN NAME="time" TYPE="time_type"> Current time.  </IN>
!   <IN NAME="alarm_frequency" TYPE="time_type">
!     A time interval for alarm_frequency.
!   </IN>
!   <IN NAME="alarm_length" TYPE="time_type">
!     A time interval for alarm_length.
!   </IN>
!   <OUT NAME="repeat_alarm" TYPE="logical">
!     Returns either True or false.
!   </OUT>

function repeat_alarm(time, alarm_frequency, alarm_length)

! Repeat_alarm supports an alarm that goes off with alarm_frequency and
! lasts for alarm_length.  If the nearest occurence of an alarm time
! is less than half an alarm_length from the input time, repeat_alarm
! is true.  For instance, if the alarm_frequency is 1 day, and the 
! alarm_length is 2 hours, then repeat_alarm is true from time 2300 on 
! day n to time 0100 on day n + 1 for all n.

logical :: repeat_alarm
type(time_type), intent(in) :: time, alarm_frequency, alarm_length
type(time_type) :: prev, next

prev = (time / alarm_frequency) * alarm_frequency
next = prev + alarm_frequency
if(time - prev <= alarm_length / 2 .or. next - time <= alarm_length / 2) then
   repeat_alarm = .true.
else
   repeat_alarm = .false.
endif

end function repeat_alarm
! </FUNCTION>

!--------------------------------------------------------------------------

!=========================================================================
! CALENDAR OPERATIONS BEGIN HERE
!=========================================================================

! <SUBROUTINE NAME="set_calendar_type">

!   <OVERVIEW>
!     Sets the default calendar type for mapping time intervals to dates.
!   </OVERVIEW>
!   <DESCRIPTION>
!     A constant number for setting the calendar type.
!   </DESCRIPTION>
!   <TEMPLATE> set_calendar_type(type, err_msg) </TEMPLATE>

!   <IN NAME="type" TYPE="integer" DIM="(scalar)" DEFAULT="NO_CALENDAR">
!     A constant number for setting the calendar type.
!   </IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>

subroutine set_calendar_type(type, err_msg)

! Selects calendar for default mapping from time to date. 

integer, intent(in) :: type
character(len=*), intent(out), optional :: err_msg
integer :: iday, days_this_month, year, month, day
logical :: leap
character(len=256) :: err_msg_local

if(.not.module_is_initialized) call time_manager_init()

if(present(err_msg)) err_msg = ''

if(type <  0 .or. type > max_type) then
  err_msg_local = 'Illegal calendar type'
  if(error_handler('subroutine set_calendar_type', err_msg_local, err_msg)) return
endif

if(seconds_per_day /= 86400 .and. type /= no_calendar ) then
  err_msg_local = 'Only calendar type NO_CALENDAR is allowed when seconds_per_day is not 86400.'// &
                  ' You are using '//trim(valid_calendar_types(type))//' and seconds_per_day='
  write(err_msg_local(len_trim(err_msg_local)+1:len_trim(err_msg_local)+8),'(i8)') seconds_per_day
  if(error_handler('subroutine set_calendar_type', err_msg_local, err_msg)) return
endif 

calendar_type = type

if(type == gregorian) then
  date_to_day = invalid_date
  iday = 0
  do year=1,400
    leap = leap_year_gregorian_int(year)
    do month=1,12
      days_this_month = days_per_month(month)
      if(leap .and. month ==2) days_this_month = 29
      do day=1,days_this_month
        date_to_day(year,month,day) = iday
        iday = iday+1
        coded_date(iday) = day + 32*(month + 16*year)
      enddo ! do day
    enddo ! do month
  enddo ! do year
endif

end subroutine set_calendar_type
! </SUBROUTINE>

!------------------------------------------------------------------------
! <FUNCTION NAME="get_calendar_type">

!   <OVERVIEW>
!      Returns the value of the default calendar type for mapping
!      from time to date.
!   </OVERVIEW>
!   <DESCRIPTION>
!     There are no arguments in this function. It returns the value of
!     the default calendar type for mapping from time to date.
!   </DESCRIPTION>
!   <TEMPLATE>
!     get_calendar_type()
!   </TEMPLATE>

function get_calendar_type()

! Returns default calendar type for mapping from time to date.

integer :: get_calendar_type

get_calendar_type = calendar_type

end function get_calendar_type
! </FUNCTION>

!------------------------------------------------------------------------
! <SUBROUTINE NAME="set_ticks_per_second">

!   <OVERVIEW>
!     Sets the number of ticks per second.
!   </OVERVIEW>
!   <DESCRIPTION>
!     Sets the number of ticks per second.
!   </DESCRIPTION>
!   <TEMPLATE> call set_ticks_per_second(ticks_per_second) </TEMPLATE>
!   <IN NAME="type" TYPE="integer" DIM="(scalar)" DEFAULT="1"> </IN>

subroutine set_ticks_per_second(tps)
integer, intent(in) :: tps

ticks_per_second = tps

end subroutine set_ticks_per_second

! </SUBROUTINE>

!------------------------------------------------------------------------
! <FUNCTION NAME="get_ticks_per_second">

!   <OVERVIEW>
!      Returns the number of ticks per second.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns the number of ticks per second.
!   </DESCRIPTION>
!   <TEMPLATE>
!     ticks_per_second = get_ticks_per_second()
!   </TEMPLATE>

function get_ticks_per_second()
integer :: get_ticks_per_second

get_ticks_per_second = ticks_per_second

end function get_ticks_per_second

! </FUNCTION>
!------------------------------------------------------------------------

!========================================================================
! START OF get_date BLOCK
! <SUBROUTINE NAME="get_date">

!   <OVERVIEW>
!      Given a time_interval, returns the corresponding date under
!      the selected calendar. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      Given a time_interval, returns the corresponding date under
!      the selected calendar.
!   </DESCRIPTION>
!   <TEMPLATE>
!     get_date(time, year, month, day, hour, minute, second, tick, err_msg)
!   </TEMPLATE>
!   <IN NAME="time"    TYPE="time_type"> A time interval.</IN>
!   <OUT NAME="year"   TYPE="integer"></OUT>
!   <OUT NAME="month"  TYPE="integer"></OUT>
!   <OUT NAME="day"    TYPE="integer"></OUT>
!   <OUT NAME="hour"   TYPE="integer"></OUT>
!   <OUT NAME="minute" TYPE="integer"></OUT>
!   <OUT NAME="second" TYPE="integer"></OUT>
!   <OUT NAME="tick"   TYPE="integer, optional"></OUT>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
 subroutine get_date(time, year, month, day, hour, minute, second, tick, err_msg)

! Given a time, computes the corresponding date given the selected calendar

 type(time_type), intent(in)    :: time
 integer, intent(out)           :: second, minute, hour, day, month, year
 integer, intent(out), optional :: tick
 character(len=*), intent(out), optional :: err_msg
 character(len=128) :: err_msg_local
 integer :: tick1 

 if(.not.module_is_initialized) call time_manager_init
 if(present(err_msg)) err_msg = ''

 select case(calendar_type)
 case(thirty_day_months)
   call get_date_thirty   (time, year, month, day, hour, minute, second, tick1)
 case(gregorian)
   call get_date_gregorian(time, year, month, day, hour, minute, second, tick1)
 case(julian)
   call get_date_julian_private   (time, year, month, day, hour, minute, second, tick1)
 case(noleap)
   call get_date_no_leap_private  (time, year, month, day, hour, minute, second, tick1)
 case(no_calendar)
   err_msg_local = 'Cannot produce a date when the calendar type is NO_CALENDAR'
   if(error_handler('subroutine get_date', err_msg_local, err_msg)) return
 case default
   err_msg_local = 'Invalid calendar type'
   if(error_handler('subroutine get_date', err_msg_local, err_msg)) return
 end select
 
 if(present(tick)) then
   tick = tick1
 else
   if(tick1 /= 0) then
     err_msg_local = 'tick must be present when time has a second fraction'
     if(error_handler('subroutine get_date', err_msg_local, err_msg)) return
   endif
 endif

 end subroutine get_date
! </SUBROUTINE>
!------------------------------------------------------------------------

 subroutine get_date_gregorian(time, year, month, day, hour, minute, second, tick)

! Computes date corresponding to time for gregorian calendar

 type(time_type), intent(in) :: time
 integer, intent(out) :: year, month, day, hour, minute, second
 integer, intent(out) :: tick
 integer :: iday, isec

 if(time%seconds >= 86400) then ! This check appears to be unecessary.
   call error_mesg('get_date',.ge.'Time%seconds  86400 in subroutine get_date_gregorian',fatal)
 endif

 iday = mod(time%days+1,days_in_400_year_period)
 if(iday == 0) iday = days_in_400_year_period

 year = coded_date(iday)/512
 day = mod(coded_date(iday),32)
 month = coded_date(iday)/32 - 16*year

 year = year + 400*((time%days)/days_in_400_year_period)

 hour = time%seconds / 3600
 isec  = time%seconds - 3600*hour
 minute = isec / 60
 second = isec - 60*minute 
 tick = time%ticks

 end subroutine get_date_gregorian

!------------------------------------------------------------------------
 function cut0(string)
 character(len=256) :: cut0
 character(len=*), intent(in) :: string
 integer :: i

 cut0 = string

 do i=1,len(string)
   if(ichar(string(i:i)) == 0 ) then
     cut0(i:i) = ' '
   endif
 enddo

 return
 end function cut0
!------------------------------------------------------------------------

 subroutine get_date_julian_private(time, year, month, day, hour, minute, second, tick)

! Base date for Julian calendar is year 1 with all multiples of 4 
! years being leap years.

 type(time_type), intent(in) :: time
 integer, intent(out) :: second, minute, hour, day, month, year
 integer, intent(out) :: tick
 integer :: m, t, nfour, nex, days_this_month
 logical :: leap

! find number of four year periods; also get modulo number of days
 nfour = time%days / (4 * 365 + 1) 
 day = modulo(time%days, (4 * 365 + 1))

! Find out what year in four year chunk
 nex = day / 365
 if(nex == 4) then
    nex = 3
    day = 366
 else
    day=modulo(day, 365) + 1
 endif

! Is this a leap year? 
 leap = (nex == 3)

 year = 1 + 4 * nfour + nex

! find month and day
 do m = 1, 12
   month = m
   days_this_month = days_per_month(m)
   if(leap .and. m == 2) days_this_month = 29
   if(day <= days_this_month) exit
   day = day - days_this_month
 end do

! find hour,minute and second
 t = time%seconds
 hour = t / (60 * 60)
 t = t - hour * (60 * 60)
 minute = t / 60
 second = t - 60 * minute
 tick = time%ticks
 end subroutine get_date_julian_private

!------------------------------------------------------------------------
 subroutine get_date_julian(time, year, month, day, hour, minute, second)

! No need to include tick in argument list because this routine
! exists only for interpolator.F90, which does not need it.

 type(time_type), intent(in) :: time
 integer, intent(out) :: second, minute, hour, day, month, year
 integer :: tick

 call get_date_julian_private(time, year, month, day, hour, minute, second, tick)

 end subroutine get_date_julian

!------------------------------------------------------------------------

 subroutine get_date_thirty(time, year, month, day, hour, minute, second, tick)

! Computes date corresponding to time interval for 30 day months, 12
! month years.

 type(time_type), intent(in) :: time
 integer, intent(out) :: second, minute, hour, day, month, year
 integer, intent(out) :: tick
 integer :: t, dmonth, dyear

 t = time%days
 dyear = t / (30 * 12)
 year = dyear + 1
 t = t - dyear * (30 * 12)
 dmonth = t / 30
 month = 1 + dmonth
 day = t -dmonth * 30 + 1

 t = time%seconds
 hour = t / (60 * 60) 
 t = t - hour * (60 * 60)
 minute = t / 60
 second = t - 60 * minute
 tick = time%ticks

 end subroutine get_date_thirty
!------------------------------------------------------------------------

 subroutine get_date_no_leap_private(time, year, month, day, hour, minute, second, tick)

! Base date for NOLEAP calendar is year 1.

 type(time_type), intent(in) :: time
 integer, intent(out) :: second, minute, hour, day, month, year
 integer, intent(out) :: tick
 integer :: m, t

! get modulo number of days
 year = time%days / 365 + 1
 day = modulo(time%days, 365) + 1

! find month and day
 do m = 1, 12
   month = m
   if(day <= days_per_month(m)) exit
   day = day - days_per_month(m)
 end do

! find hour,minute and second
 t = time%seconds
 hour = t / (60 * 60)
 t = t - hour * (60 * 60)
 minute = t / 60
 second = t - 60 * minute
 tick = time%ticks

 end subroutine get_date_no_leap_private

!------------------------------------------------------------------------
 subroutine get_date_no_leap(time, year, month, day, hour, minute, second)

! No need to include tick in argument list because this routine
! exists only for interpolator.F90, which does not need it.

 type(time_type), intent(in) :: time
 integer, intent(out) :: second, minute, hour, day, month, year
 integer :: tick

 call get_date_no_leap_private(time, year, month, day, hour, minute, second, tick)

 end subroutine get_date_no_leap
!------------------------------------------------------------------------

! END OF get_date BLOCK
!========================================================================
! START OF set_date BLOCK
! <FUNCTION NAME="set_date">

!   <OVERVIEW>
!      Given an input date in year, month, days, etc., creates a
!      time_type that represents this time interval from the
!      internally defined base date.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Given a date, computes the corresponding time given the selected
!      date time mapping algorithm. Note that it is possible to specify
!      any number of illegal dates; these should be checked for and generate
!      errors as appropriate.
!   </DESCRIPTION>
!   <TEMPLATE>
!     1. set_date(year, month, day, hours, minute, second, tick, err_msg)
!   </TEMPLATE>
!   <TEMPLATE>
!     2. set_date_c(time_string, zero_year_warning, err_msg, allow_rounding)
!      time_string is a character string containing a date formatted
!      according to CF conventions. e.g. '1980-12-31 23:59:59.9'
!   </TEMPLATE>
!   <IN NAME="time"   TYPE="time_type"> A time interval.</IN>
!   <IN NAME="year"   TYPE="integer"></IN>
!   <IN NAME="month"  TYPE="integer"></IN>
!   <IN NAME="day"    TYPE="integer"></IN>
!   <IN NAME="hour"   TYPE="integer"></IN>
!   <IN NAME="minute" TYPE="integer"></IN>
!   <IN NAME="second" TYPE="integer"></IN>
!   <IN NAME="tick"   TYPE="integer"></IN>
!   <IN NAME="zero_year_warning"   TYPE="logical">
!     If the year number is zero, it will be silently changed to one,
!     unless zero_year_warning=.true., in which case a WARNING message
!     will also be issued.
!   </IN>
!   <IN NAME="allow_rounding"   TYPE="logical, optional" DEFAULT=".true.">
!     When .true., any fractions of a second will be rounded off to the nearest tick.
!     When .false., it is a fatal error if the second fraction cannot be exactly
!     represented by a number of ticks.
!   </IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <OUT NAME="set_date" TYPE="time_type"> A time interval.</OUT>

 function set_date_private(year, month, day, hour, minute, second, tick, Time_out, err_msg)

! Given a date, computes the corresponding time given the selected
! date time mapping algorithm.  Note that it is possible to specify
! any number of illegal dates; these are checked for and generate
! errors as appropriate.

 logical :: set_date_private
 integer, intent(in) :: year, month, day, hour, minute, second, tick
 type(time_type) :: time_out
 character(len=*), intent(out) :: err_msg

 if(.not.module_is_initialized) call time_manager_init

 err_msg = ''

 select case(calendar_type)
 case(thirty_day_months)
   set_date_private = set_date_thirty(year, month, day, hour, minute, second, tick, time_out, err_msg)
 case(gregorian)
   set_date_private = set_date_gregorian(year, month, day, hour, minute, second, tick, time_out, err_msg)
 case(julian)
   set_date_private = set_date_julian_private(year, month, day, hour, minute, second, tick, time_out, err_msg)
 case(noleap)
   set_date_private = set_date_no_leap_private(year, month, day, hour, minute, second, tick, time_out, err_msg)
 case (no_calendar)
   err_msg = 'Cannot produce a date when calendar type is NO_CALENDAR'
   set_date_private = .false.
 case default
   err_msg = 'Invalid calendar type'
   set_date_private = .false.
 end select

 end function set_date_private
! </FUNCTION>

!------------------------------------------------------------------------
 function set_date_i(year, month, day, hour, minute, second, tick, err_msg)
 type(time_type) :: set_date_i
 integer, intent(in) :: day, month, year
 integer, intent(in), optional :: second, minute, hour, tick
 character(len=*), intent(out), optional :: err_msg
 integer :: osecond, ominute, ohour, otick
 character(len=128) :: err_msg_local

 if(.not.module_is_initialized) call time_manager_init
 if(present(err_msg)) err_msg = ''
     
! Missing optionals are set to 0
 osecond = 0; if(present(second)) osecond = second
 ominute = 0; if(present(minute)) ominute = minute
 ohour   = 0; if(present(hour))   ohour   = hour
 otick   = 0; if(present(tick))   otick   = tick

 if(.not.set_date_private(year, month, day, ohour, ominute, osecond, otick, set_date_i, err_msg_local)) then
   if(error_handler('function set_date_i', err_msg_local, err_msg)) return
 endif

 end function set_date_i
!------------------------------------------------------------------------

 function set_date_c(string, zero_year_warning, err_msg, allow_rounding)

 ! Examples of acceptable forms of string:

 ! 1980-01-01 00:00:00
 ! 1980-01-01 00:00:00.50
 ! 1980-1-1 0:0:0
 ! 1980-1-1

 ! year number must occupy 4 spaces.
 ! months, days, hours, minutes, seconds may occupy 1 or 2 spaces
 ! year, month and day must be separated by a '-'
 ! hour, minute, second must be separated by a ':'
 ! hour, minute, second are optional. If not present then zero is assumed.
 ! second may be a real number.

 ! zero_year_warning:
 ! If the year number is zero, it will be silently changed to one,
 ! unless zero_year_warning=.true., in which case a WARNING message
 ! will also be issued

 type(time_type) :: set_date_c
 character(len=*), intent(in) :: string
 logical,          intent(in),  optional :: zero_year_warning
 character(len=*), intent(out), optional :: err_msg
 logical,          intent(in),  optional :: allow_rounding
 character(len=4) :: formt='(i )'
 logical :: correct_form, zero_year_warning_local, allow_rounding_local
 integer :: i1, i2, i3, i4, i5, i6, i7
 character(len=32) :: string_sifted_left
 integer :: year, month, day, hour, minute, second, tick
 character(len=128) :: err_msg_local
 
 if(.not.module_is_initialized) call time_manager_init()
 if(present(err_msg)) err_msg = ''
 if(present(zero_year_warning)) then
   zero_year_warning_local = zero_year_warning 
 else
   zero_year_warning_local = .true. 
 endif
 if(present(allow_rounding)) then
   allow_rounding_local = allow_rounding 
 else
   allow_rounding_local = .true. 
 endif

 string_sifted_left = adjustl(string)
 i1 = index(string_sifted_left,'-')
 i2 = index(string_sifted_left,'-',back=.true.)
 i3 = index(string_sifted_left,':')
 i4 = index(string_sifted_left,':',back=.true.)
 i5 = len_trim(cut0(string_sifted_left))
 i6 = index(string_sifted_left,'.',back=.true.)
 correct_form = (i1 > 1) ! year number must occupy at least 1 space
 correct_form = correct_form .and. (i2-i1 == 2 .or. i2-i1 == 3) ! month number must occupy 1 or 2 spaces
 if(.not.correct_form) then
   err_msg_local = 'Form of character time stamp is incorrect. The character time stamp is: '//trim(string)
   if(error_handler('function set_date_c', err_msg_local, err_msg)) return
 endif
 write(formt(3:3),'(i1)') i1-1
 read(string_sifted_left(1:i1-1),formt) year
 if(year == 0) then
   year = 1
   if(zero_year_warning_local) then
     call error_mesg('set_date_c','Year zero is invalid. Resetting year to 1', warning)
   endif
 endif
 write(formt(3:3),'(i1)') i2-i1-1
 read(string_sifted_left(i1+1:i2-1),formt) month
 i7 = min(i2+2,i5)
 read(string_sifted_left(i2+1:i7),'(i2)') day

 if(i3 == 0) then
! There are no minutes or seconds in the string
   minute = 0
   second = 0
   tick   = 0
   if(i5 <= i2+2) then
 !   There is no clocktime in the string at all
     hour = 0
   else
 !   The clocktime includes only hours
     read(string_sifted_left(i5-1:i5),'(i2)') hour
   endif
 else if(i3 == i4) then
 ! The string includes hours and minutes, but no seconds
   read(string_sifted_left(i3-2:i3-1),'(i2)') hour
   write(formt(3:3),'(i1)') i5-i3
   read(string_sifted_left(i3+1:i5),formt) minute
   second = 0
   tick = 0
 else
 ! The string includes hours, minutes, and seconds
   read(string_sifted_left(i3-2:i3-1),'(i2)') hour
   write(formt(3:3),'(i1)') i4-i3-1
   read(string_sifted_left(i3+1:i4-1),formt) minute
   write(formt(3:3),'(i1)') i5-i4
   if(i6 == 0) then
   ! There are no fractional seconds
     read(string_sifted_left(i4+1:i5),formt) second
     tick = 0
   else
     read(string_sifted_left(i4+1:i6-1),formt) second
     if(.not.get_tick_from_string(string_sifted_left(i6:i5), err_msg_local, allow_rounding_local, tick)) then
       if(error_handler('function set_date_c', err_msg_local, err_msg)) return
     endif
 !   If tick has been rounded up to ticks_per_second, then bump up second.
     if(tick == ticks_per_second) then
       second = second + 1
       tick = 0
     endif
   endif
 endif

 if(.not.set_date_private(year, month, day, hour, minute, second, tick, set_date_c, err_msg_local)) then
   if(error_handler('function set_date_c', err_msg_local, err_msg)) return
 endif

 end function set_date_c
!------------------------------------------------------------------------

 function set_date_gregorian(year, month, day, hour, minute, second, tick, Time_out, err_msg)
 logical :: set_date_gregorian

! Computes time corresponding to date for gregorian calendar.

 integer,          intent(in)  :: year, month, day, hour, minute, second, tick
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg
 integer :: yr1, day1

 if( .not.valid_increments(year,month,day,hour,minute,second,tick,err_msg) ) then
   set_date_gregorian = .false.
   return
 endif

 time_out%seconds = second + 60*(minute + 60*hour)

 yr1 = mod(year,400)
 if(yr1 == 0) yr1 = 400
 day1 = date_to_day(yr1,month,day)
  if(day1 == invalid_date) then
   err_msg = 'Invalid_date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
   set_date_gregorian = .false.
   return
 endif

 time_out%days = day1 + days_in_400_year_period*((year-1)/400)
 time_out%ticks = tick
 err_msg = ''
 set_date_gregorian = .true.

 end function set_date_gregorian

!------------------------------------------------------------------------

 function set_date_julian_private(year, month, day, hour, minute, second, tick, Time_out, err_msg)
 logical :: set_date_julian_private

! Returns time corresponding to date for julian calendar.

 integer,          intent(in)  :: year, month, day, hour, minute, second, tick
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg
 integer :: ndays, m, nleapyr
 logical :: leap

 if( .not.valid_increments(year,month,day,hour,minute,second,tick,err_msg) ) then
   set_date_julian_private = .false.
   return
 endif

 if(month /= 2 .and. day > days_per_month(month)) then
   err_msg = 'Invalid date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
   set_date_julian_private = .false.
   return
 endif

! Is this a leap year? 
 leap = (modulo(year,4) == 0)
! compute number of complete leap years from year 1
 nleapyr = (year - 1) / 4

! Finish checking for day specication errors
 if(month == 2 .and. (day > 29 .or. ((.not. leap) .and. day > 28))) then
   err_msg = 'Invalid date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
   set_date_julian_private = .false.
   return
 endif

 ndays = 0
 do m = 1, month - 1
   ndays = ndays + days_per_month(m)
   if(leap .and. m == 2) ndays = ndays + 1
 enddo

 time_out%seconds = second + 60 * (minute + 60 * hour)
 time_out%days    = day -1 + ndays + 365*(year - nleapyr - 1) + 366*(nleapyr)
 time_out%ticks   = tick
 err_msg = ''
 set_date_julian_private = .true.

 end function set_date_julian_private

!------------------------------------------------------------------------
 function set_date_julian(year, month, day, hour, minute, second)

! No need to include tick or err_msg in argument list because this
! routine exists only for interpolator.F90, which does not need them.

 type(time_type) :: set_date_julian
 integer, intent(in) :: year, month, day, hour, minute, second
 character(len=128) :: err_msg

 if(.not.set_date_julian_private(year, month, day, hour, minute, second, 0, set_date_julian, err_msg)) then
   call error_mesg('set_date_julian',trim(err_msg),fatal)
 endif

 end function set_date_julian
!------------------------------------------------------------------------

 function set_date_thirty(year, month, day, hour, minute, second, tick, Time_out, err_msg)
 logical :: set_date_thirty

! Computes time corresponding to date for thirty day months.

 integer,          intent(in)  :: year, month, day, hour, minute, second, tick
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg

 if( .not.valid_increments(year,month,day,hour,minute,second,tick,err_msg) ) then
   set_date_thirty = .false.
   return
 endif

 if(day > 30) then
   err_msg = 'Invalid date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
   set_date_thirty = .false.
   return
 endif

 time_out%days    = (day - 1) + 30 * ((month - 1) + 12 * (year - 1))
 time_out%seconds = second + 60 * (minute + 60 * hour)
 time_out%ticks   = tick
 err_msg = ''
 set_date_thirty = .true.

 end function set_date_thirty

!------------------------------------------------------------------------

 function set_date_no_leap_private(year, month, day, hour, minute, second, tick, Time_out, err_msg)
 logical :: set_date_no_leap_private

! Computes time corresponding to date for fixed 365 day year calendar.

 integer,          intent(in)  :: year, month, day, hour, minute, second, tick
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg
 integer :: ndays, m

 if( .not.valid_increments(year,month,day,hour,minute,second,tick,err_msg) ) then
   set_date_no_leap_private = .false.
   return
 endif

 if(day > days_per_month(month)) then
   err_msg = 'Invalid date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
   set_date_no_leap_private = .false.
   return
 endif

 ndays = 0
 do m = 1, month - 1
   ndays = ndays + days_per_month(m)
 enddo

! No need for err_msg in call to set_time because previous checks ensure positive value of time.
 time_out = set_time(second + 60 * (minute + 60 * hour), day -1 + ndays + 365 * (year - 1), tick)
 err_msg = ''
 set_date_no_leap_private = .true.

 end function set_date_no_leap_private
!------------------------------------------------------------------------

 function set_date_no_leap(year, month, day, hour, minute, second)

! No need to include tick or err_msg in argument list because this
! routine exists only for interpolator.F90, which does not need them.

 type(time_type) :: set_date_no_leap
 integer, intent(in) :: year, month, day, hour, minute, second
 character(len=128) :: err_msg

 if(.not.set_date_no_leap_private(year, month, day, hour, minute, second, 0, set_date_no_leap, err_msg)) then
   call error_mesg('set_date_no_leap',trim(err_msg),fatal)
 endif

 end function set_date_no_leap

!=========================================================================

 function valid_increments(year, month, day, hour, minute, second, tick, err_msg)
 logical :: valid_increments
 integer, intent(in) :: year, month, day, hour, minute, second, tick
 character(len=128), intent(out) :: err_msg

!  Check for invalid values

 err_msg = ''
 valid_increments = .true.
 if(second > 59 .or. second < 0 .or. minute > 59 .or. minute < 0 &
   .or. hour > 23 .or. hour < 0 .or. day > 31 .or. day < 1 &
   .or. month > 12 .or. month < 1 .or. year < 1) then
     err_msg = 'Invalid date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
     valid_increments = .false.
     return
 endif
 if(tick < 0 .or. tick >= ticks_per_second) then
   write(err_msg,'(a,i6)') 'Invalid number of ticks. tick=',tick
   valid_increments = .false.
 endif

 end function valid_increments

!=========================================================================

 function convert_integer_date_to_char(year, month, day, hour, minute, second)
 character(len=19) :: convert_integer_date_to_char
 integer, intent(in) :: year, month, day
 integer, intent(in) :: hour, minute, second

 write(convert_integer_date_to_char,10) year,month,day,hour,minute,second
 10 format(i4.4, '-', i2.2, '-', i2.2, ' ', i2.2, ':', i2.2, ':', i2.2)

 end function convert_integer_date_to_char

!=========================================================================
! END OF set_date BLOCK
!=========================================================================

! <FUNCTION NAME="increment_date">

!   <OVERVIEW>
!      Increments the date represented by a time interval and the
!      default calendar type by a number of seconds, etc. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      Given a time and some date increment, computes a new time.  Depending
!      on the mapping algorithm from date to time, it may be possible to specify
!      undefined increments (i.e. if one increments by 68 days and 3 months in
!      a Julian calendar, it matters which order these operations are done and
!      we don't want to deal with stuff like that, make it an error).
!   </DESCRIPTION>
!   <TEMPLATE>
!      increment_date(time, years, months, days, hours, minutes, seconds, ticks, err_msg)
!   </TEMPLATE>
!   <IN NAME="time"    TYPE="time_type"> A time interval.</IN>
!   <IN NAME="years"   TYPE="integer">An increment of years.</IN>
!   <IN NAME="months"  TYPE="integer">An increment of months.</IN>
!   <IN NAME="days"    TYPE="integer">An increment of days.</IN>
!   <IN NAME="hours"   TYPE="integer">An increment of hours.</IN>
!   <IN NAME="minutes" TYPE="integer">An increment of minutes.</IN>
!   <IN NAME="seconds" TYPE="integer">An increment of seconds.</IN>
!   <IN NAME="ticks"   TYPE="integer">An increment of ticks.</IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <OUT NAME="increment_date" TYPE="time_type"> A new time based on the input 
!         time interval and the calendar type.
!   </OUT>
!   <IN NAME="allow_neg_inc" TYPE="logical, optional" DIM="(scalar)" DEFAULT=".true.">
!     When .false., it is a fatal error if any of the input time increments are negative.
!     This mimics the behavior of lima and earlier revisions.
!   </IN>
!   <NOTE>
!     For all but the thirty_day_months calendar, increments to months
!     and years must be made separately from other units because of the
!     non-associative nature of addition.
!     If the result is a negative time (i.e. date before the base date)
!     it is considered a fatal error.
!   </NOTE>

 function increment_date(Time, years, months, days, hours, minutes, seconds, ticks, err_msg, allow_neg_inc)

! Given a time and some date increment, computes a new time.  Depending
! on the mapping algorithm from date to time, it may be possible to specify
! undefined increments (i.e. if one increments by 68 days and 3 months in
! a Julian calendar, it matters which order these operations are done and
! we don't want to deal with stuff like that, make it an error).

! This routine operates in one of two modes.
! 1. days, hours, minutes, seconds, ticks are incremented, years and months must be zero or absent arguments.
! 2. years and/or months are incremented, other time increments must be zero or absent arguments.

 type(time_type) :: increment_date
 type(time_type), intent(in) :: time
 integer, intent(in), optional :: years, months, days, hours, minutes, seconds, ticks
 character(len=*), intent(out), optional :: err_msg
 logical, intent(in), optional :: allow_neg_inc

 integer :: oyears, omonths, odays, ohours, ominutes, oseconds, oticks
 character(len=128) :: err_msg_local
 logical :: allow_neg_inc_local

 if(.not.module_is_initialized) call time_manager_init
 if(present(err_msg)) err_msg = ''

! Missing optionals are set to 0
 oseconds = 0; if(present(seconds)) oseconds = seconds
 ominutes = 0; if(present(minutes)) ominutes = minutes
 ohours   = 0; if(present(hours))   ohours   = hours
 odays    = 0; if(present(days))    odays    = days
 omonths  = 0; if(present(months))  omonths  = months
 oyears   = 0; if(present(years))   oyears   = years
 oticks   = 0; if(present(ticks))   oticks   = ticks
 allow_neg_inc_local=.true.; if(present(allow_neg_inc)) allow_neg_inc_local=allow_neg_inc

 if(.not.allow_neg_inc_local) then
   if(oyears < 0 .or. omonths < 0 .or. odays < 0 .or. ohours < 0 .or. ominutes < 0 .or. oseconds < 0 .or. oticks < 0) then
     write(err_msg_local,10) oyears, omonths, odays, ohours, ominutes, oseconds, oticks
     if(error_handler('function increment_time', err_msg_local, err_msg)) return
   endif
 endif
 10 format('One or more time increments are negative: '// &
   'years=',i6,' months=',i6,' days=',i6,' hours=',i6,' minutes=',i6,' seconds=',i6,' ticks=',i6)

 if(.not.increment_date_private( &
     time, oyears, omonths, odays, ohours, ominutes, oseconds, oticks, increment_date, err_msg_local)) then
   if(error_handler('function increment_date', err_msg_local, err_msg)) return
 endif
 
 end function increment_date

! </FUNCTION>

!=======================================================================

 function increment_date_private(Time, years, months, days, hours, minutes, seconds, ticks, Time_out, err_msg)

! Given a time and some date increment, computes a new time.  Depending
! on the mapping algorithm from date to time, it may be possible to specify
! undefined increments (i.e. if one increments by 68 days and 3 months in
! a Julian calendar, it matters which order these operations are done and
! we don't want to deal with stuff like that, make it an error).

! This routine operates in one of two modes.
! 1. days, hours, minutes, seconds, ticks are incremented, years and months must be zero or absent arguments.
! 2. years and/or months are incremented, other time increments must be zero or absent arguments.

! Negative increments are always allowed in the private version of this routine.

 logical :: increment_date_private
 type(time_type),  intent(in)  :: time
 integer,          intent(in)  :: years, months, days, hours, minutes, seconds, ticks
 type(time_type),  intent(out) :: time_out
 character(len=*), intent(out) :: err_msg
 integer :: cyear , cmonth , cday , chour , cminute , csecond , ctick 
 logical :: mode_1, mode_2

 err_msg = ''
 increment_date_private = .true.

 mode_1 = days /= 0 .or. hours /= 0 .or. minutes /= 0 .or. seconds /= 0 .or. ticks /= 0
 mode_2 = years /= 0 .or. months /= 0

 if(.not.mode_1 .and. .not.mode_2) then
 ! All time increments are zero
   time_out = time
   return
 endif

 if(mode_1 .and. mode_2) then
   err_msg = 'years and/or months must not be incremented with other time units'
   increment_date_private = .false.
   return
 endif

 if(mode_1) then
   csecond = seconds + 60 * (minutes + 60 * hours)
   increment_date_private = increment_time_private(time, csecond, days, ticks, time_out, err_msg)
 endif

 if(mode_2) then
 ! Convert Time to a date
   select case(calendar_type)
   case(thirty_day_months)
     call get_date_thirty   (time, cyear, cmonth, cday, chour, cminute, csecond, ctick)
   case(noleap)
     call get_date_no_leap_private  (time, cyear, cmonth, cday, chour, cminute, csecond, ctick)
   case(julian)
     call get_date_julian_private   (time, cyear, cmonth, cday, chour, cminute, csecond, ctick)
   case(gregorian)
     call get_date_gregorian(time, cyear, cmonth, cday, chour, cminute, csecond, ctick)
   case(no_calendar)
     err_msg = 'Cannot increment a date when the calendar type is NO_CALENDAR'
     increment_date_private = .false.
     return
   case default
     err_msg = 'Invalid calendar type'
     increment_date_private = .false.
     return
   end select

 ! Add month increment
   cmonth = cmonth + months

 ! Adjust year and month number when cmonth falls outside the range 1 to 12
   cyear = cyear + floor((cmonth-1)/12.)
   cmonth = modulo((cmonth-1),12) + 1

 ! Add year increment
   cyear = cyear + years

 ! Convert this back into a time.
   select case(calendar_type)
   case(thirty_day_months)
     increment_date_private = set_date_thirty(cyear, cmonth, cday, chour, cminute, csecond, ctick, time_out, err_msg)
   case(noleap)
     increment_date_private = set_date_no_leap_private(cyear, cmonth, cday, chour, cminute, csecond, ctick, time_out, err_msg)
   case(julian)
     increment_date_private = set_date_julian_private(cyear, cmonth, cday, chour, cminute, csecond, ctick, time_out, err_msg)
   case(gregorian)
     increment_date_private = set_date_gregorian(cyear, cmonth, cday, chour, cminute, csecond, ctick, time_out, err_msg)
   end select
 endif ! if(mode_2)

 end function increment_date_private

!=========================================================================
! <FUNCTION NAME="decrement_date">

!   <OVERVIEW>
!      Decrements the date represented by a time interval and the
!      default calendar type by a number of seconds, etc. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      Given a time and some date decrement, computes a new time.  Depending
!      on the mapping algorithm from date to time, it may be possible to specify
!      undefined decrements (i.e. if one decrements by 68 days and 3 months in
!      a Julian calendar, it matters which order these operations are done and
!      we don't want to deal with stuff like that, make it an error).
!   </DESCRIPTION>
!   <TEMPLATE>
!      decrement_date(time, years, months, days, hours, minutes, seconds, ticks, err_msg))
!   </TEMPLATE>
!   <IN NAME="time"    TYPE="time_type"> A time interval.</IN>
!   <IN NAME="years"   TYPE="integer">An decrement of years.</IN>
!   <IN NAME="months"  TYPE="integer">An decrement of months.</IN>
!   <IN NAME="days"    TYPE="integer">An decrement of days.</IN>
!   <IN NAME="hours"   TYPE="integer">An decrement of hours.</IN>
!   <IN NAME="minutes" TYPE="integer">An decrement of minutes.</IN>
!   <IN NAME="seconds" TYPE="integer">An decrement of seconds.</IN>
!   <IN NAME="ticks"   TYPE="integer">An decrement of ticks.</IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <OUT NAME="decrement_date" TYPE="time_type"> A new time based on the input 
!         time interval and the calendar type.
!   </OUT>
!   <IN NAME="allow_neg_inc" TYPE="logical, optional" DIM="(scalar)" DEFAULT=".true.">
!     When .false., it is a fatal error if any of the input time increments are negative.
!     This mimics the behavior of lima and earlier revisions.
!   </IN>
!   <NOTE>
!     For all but the thirty_day_months calendar, decrements to months
!     and years must be made separately from other units because of the
!     non-associative nature of addition.
!     If the result is a negative time (i.e. date before the base date)
!     it is considered a fatal error.
!   </NOTE>

 function decrement_date(Time, years, months, days, hours, minutes, seconds, ticks, err_msg, allow_neg_inc)

 type(time_type) :: decrement_date
 type(time_type), intent(in) :: time
 integer, intent(in), optional :: seconds, minutes, hours, days, months, years, ticks
 character(len=*), intent(out), optional :: err_msg
 logical, intent(in), optional :: allow_neg_inc

 integer :: oseconds, ominutes, ohours, odays, omonths, oyears, oticks
 character(len=128) :: err_msg_local
 logical :: allow_neg_inc_local

 if(present(err_msg)) err_msg = ''

 ! Missing optionals are set to 0
 oseconds = 0; if(present(seconds)) oseconds = seconds
 ominutes = 0; if(present(minutes)) ominutes = minutes
 ohours   = 0; if(present(hours))   ohours   = hours
 odays    = 0; if(present(days))    odays    = days
 omonths  = 0; if(present(months))  omonths  = months
 oyears   = 0; if(present(years))   oyears   = years
 oticks   = 0; if(present(ticks))   oticks   = ticks
 allow_neg_inc_local=.true.; if(present(allow_neg_inc)) allow_neg_inc_local=allow_neg_inc

 if(.not.allow_neg_inc_local) then
   if(oyears < 0 .or. omonths < 0 .or. odays < 0 .or. ohours < 0 .or. ominutes < 0 .or. oseconds < 0 .or. oticks < 0) then
     write(err_msg_local,10) oyears, omonths, odays, ohours, ominutes, oseconds, oticks
     if(error_handler('function decrement_date', err_msg_local, err_msg)) return
   endif
 endif
 10 format('One or more time increments are negative: '// &
   'years=',i6,' months=',i6,' days=',i6,' hours=',i6,' minutes=',i6,' seconds=',i6,' ticks=',i6)

 if(.not.increment_date_private( &
     time, -oyears, -omonths, -odays, -ohours, -ominutes, -oseconds, -oticks, decrement_date, err_msg_local)) then
   if(error_handler('function decrement_date', err_msg_local, err_msg)) return
 endif

 end function decrement_date
 ! </FUNCTION>

!=========================================================================
! START days_in_month BLOCK
! <FUNCTION NAME="days_in_month">

!   <OVERVIEW>
!       Given a time interval, gives the number of days in the
!       month corresponding to the default calendar.
!   </OVERVIEW>
!   <DESCRIPTION>
!       Given a time, computes the corresponding date given the selected
!       date time mapping algorithm.
!   </DESCRIPTION>
!   <TEMPLATE> days_in_month(time) </TEMPLATE>

!   <IN NAME="time" UNITS="" TYPE="time_type" DIM="">A time interval.</IN>
!   <OUT NAME="days_in_month" UNITS="" TYPE="integer" DIM="" DEFAULT="">
!       The number of days in the month given the selected time
!       mapping algorithm.
!   </OUT>

function days_in_month(Time, err_msg)

! Given a time, computes the corresponding date given the selected
! date time mapping algorithm

integer :: days_in_month
type(time_type), intent(in) :: time
character(len=*), intent(out), optional :: err_msg

if(.not.module_is_initialized) call time_manager_init
if(present(err_msg)) err_msg = ''

select case(calendar_type)
case(thirty_day_months)
   days_in_month = days_in_month_thirty(time)
case(gregorian)
   days_in_month = days_in_month_gregorian(time)
case(julian)
   days_in_month = days_in_month_julian(time)
case(noleap)
   days_in_month = days_in_month_no_leap(time)
case(no_calendar)
   if(error_handler('function days_in_month', &
         'days_in_month makes no sense when the calendar type is NO_CALENDAR', err_msg)) return
case default
   if(error_handler('function days_in_month', 'Invalid calendar type', err_msg)) return
end select
end function days_in_month
! </FUNCTION>

!--------------------------------------------------------------------------

function days_in_month_gregorian(Time)

! Returns the number of days in a gregorian month.

integer :: days_in_month_gregorian
type(time_type), intent(in) :: time
integer :: year, month, day, hour, minute, second, ticks

call get_date_gregorian(time, year, month, day, hour, minute, second, ticks)
days_in_month_gregorian = days_per_month(month)
if(leap_year_gregorian_int(year) .and. month == 2) days_in_month_gregorian = 29

end function days_in_month_gregorian

!--------------------------------------------------------------------------
function days_in_month_julian(Time)

! Returns the number of days in a julian month.

integer :: days_in_month_julian
type(time_type), intent(in) :: time
integer :: year, month, day, hour, minute, second, ticks

call get_date_julian_private(time, year, month, day, hour, minute, second, ticks)
days_in_month_julian = days_per_month(month)
if(leap_year_julian(time) .and. month == 2) days_in_month_julian = 29

end function days_in_month_julian

!--------------------------------------------------------------------------
function days_in_month_thirty(Time)

! Returns the number of days in a thirty day month (needed for transparent
! changes to calendar type).

integer :: days_in_month_thirty
type(time_type), intent(in) :: time

days_in_month_thirty = 30

end function days_in_month_thirty

!--------------------------------------------------------------------------
function days_in_month_no_leap(Time)

! Returns the number of days in a 365 day year month.

integer :: days_in_month_no_leap
type(time_type), intent(in) :: time
integer :: year, month, day, hour, minute, second, ticks

call get_date_no_leap_private(time, year, month, day, hour, minute, second, ticks)
days_in_month_no_leap= days_per_month(month)

end function days_in_month_no_leap

! END OF days_in_month BLOCK
!==========================================================================
! START OF leap_year BLOCK
! <FUNCTION NAME="leap_year">

!   <OVERVIEW>
!      Returns true if the year corresponding to the input time is
!      a leap year. Always returns false for THIRTY_DAY_MONTHS and NOLEAP.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns true if the year corresponding to the input time is
!      a leap year. Always returns false for THIRTY_DAY_MONTHS and NOLEAP.
!   </DESCRIPTION>
!   <TEMPLATE> leap_year(time) </TEMPLATE>

!   <IN NAME="time" UNITS="" TYPE="time_type" DIM="">A time interval.</IN>
!   <OUT NAME="leap_year" UNITS="" TYPE="calendar_type" DIM="" DEFAULT="">
!      true if the year corresponding to the input time is a leap year.
!   </OUT>

function leap_year(Time, err_msg)

! Is this date in a leap year for default calendar?

logical :: leap_year
type(time_type), intent(in) :: time
character(len=*), intent(out), optional :: err_msg

if(.not.module_is_initialized) call time_manager_init
if(present(err_msg)) err_msg=''

select case(calendar_type)
case(thirty_day_months)
   leap_year = leap_year_thirty(time)
case(gregorian)
   leap_year = leap_year_gregorian(time)
case(julian)
   leap_year = leap_year_julian(time)
case(noleap)
   leap_year = leap_year_no_leap(time)
case default
   if(error_handler('function leap_year', 'Invalid calendar type in leap_year', err_msg)) return
end select
end function leap_year
! </FUNCTION>

!--------------------------------------------------------------------------

function leap_year_gregorian(Time)

! Is this a leap year for gregorian calendar?

logical :: leap_year_gregorian
type(time_type), intent(in) :: time
integer :: seconds, minutes, hours, day, month, year

call get_date(time, year, month, day, hours, minutes, seconds)
leap_year_gregorian = leap_year_gregorian_int(year)

end function leap_year_gregorian

!--------------------------------------------------------------------------

function leap_year_gregorian_int(year)
logical :: leap_year_gregorian_int
integer, intent(in) :: year

leap_year_gregorian_int = mod(year,4) == 0
leap_year_gregorian_int = leap_year_gregorian_int .and. .not.mod(year,100) == 0
leap_year_gregorian_int = leap_year_gregorian_int .or. mod(year,400) == 0

end function leap_year_gregorian_int

!--------------------------------------------------------------------------

function leap_year_julian(Time)

! Returns the number of days in a julian month.

logical :: leap_year_julian
type(time_type), intent(in) :: time
integer :: seconds, minutes, hours, day, month, year

call get_date(time, year, month, day, hours, minutes, seconds)
leap_year_julian = ((year / 4 * 4) == year)

end function leap_year_julian

!--------------------------------------------------------------------------

function leap_year_thirty(Time)

! No leap years in thirty day months, included for transparency. 

logical :: leap_year_thirty
type(time_type), intent(in) :: time

leap_year_thirty = .false.

end function leap_year_thirty

!--------------------------------------------------------------------------

function leap_year_no_leap(Time)

! Another tough one; no leap year returns false for leap year inquiry.

logical :: leap_year_no_leap
type(time_type), intent(in) :: time

leap_year_no_leap = .false.

end function leap_year_no_leap

!END OF leap_year BLOCK
!==========================================================================
! START OF length_of_year BLOCK
! <FUNCTION NAME="length_of_year">

!   <OVERVIEW>
!      Returns the mean length of the year in the default calendar setting. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      There are no arguments in this function. It returns the mean
!      length of the year in the default calendar setting.
!   </DESCRIPTION>
!   <TEMPLATE> length_of_year() </TEMPLATE>

function length_of_year()

! What is the length of the year for the default calendar type

type(time_type) :: length_of_year

if(.not.module_is_initialized) call time_manager_init

select case(calendar_type)
case(thirty_day_months)
   length_of_year = length_of_year_thirty()
case(gregorian)
   length_of_year = length_of_year_gregorian()
case(julian)
   length_of_year = length_of_year_julian()
case(noleap)
   length_of_year = length_of_year_no_leap()
case default
   call error_mesg('length_of_year','Invalid calendar type in length_of_year',fatal)
end select
end function length_of_year
! </FUNCTION>

!--------------------------------------------------------------------------

function length_of_year_thirty()

type(time_type) :: length_of_year_thirty

length_of_year_thirty = set_time(0, 360)

end function length_of_year_thirty

!---------------------------------------------------------------------------

function length_of_year_gregorian()

type(time_type) :: length_of_year_gregorian
integer :: days, seconds

days = days_in_400_year_period / 400
seconds = 86400*(days_in_400_year_period/400. - days)
length_of_year_gregorian = set_time(seconds, days)

end function length_of_year_gregorian

!--------------------------------------------------------------------------

function length_of_year_julian()

type(time_type) :: length_of_year_julian

length_of_year_julian = set_time((24 / 4) * 60 * 60, 365)

end function length_of_year_julian

!--------------------------------------------------------------------------

function length_of_year_no_leap()

type(time_type) :: length_of_year_no_leap

length_of_year_no_leap = set_time(0, 365)

end function length_of_year_no_leap

!--------------------------------------------------------------------------

! END OF length_of_year BLOCK
!==========================================================================

!==========================================================================
! return number of day in year; Jan 1st is day 1, not zero!
function day_of_year(time)
  integer :: day_of_year
  type(time_type), intent(in) :: time

  integer :: second, minute, hour, day, month, year
  type(time_type) :: t
  
  call get_date(time,year,month,day,hour,minute,second)
  t = time-set_date(year,1,1,0,0,0)
  day_of_year = t%days + 1
end

! START OF days_in_year BLOCK
! <FUNCTION NAME="days_in_year">

!   <OVERVIEW>
!      Returns the number of days in the calendar year corresponding to
!      the date represented by time for the default calendar.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns the number of days in the calendar year corresponding to
!      the date represented by time for the default calendar.
!   </DESCRIPTION>
!   <TEMPLATE> days_in_year(Time) </TEMPLATE>
!   <IN NAME="Time" TYPE="time_type">A time interval.</IN>
!   <OUT>
!      The number of days in this year for the default calendar type.
!   </OUT>


function days_in_year(Time)

! What is the number of days in this year for the default calendar type

integer :: days_in_year
type(time_type), intent(in) :: time

if(.not.module_is_initialized) call time_manager_init

select case(calendar_type)
case(thirty_day_months)
   days_in_year = days_in_year_thirty(time)
case(gregorian)
   days_in_year = days_in_year_gregorian(time)
case(julian)
   days_in_year = days_in_year_julian(time)
case(noleap)
   days_in_year = days_in_year_no_leap(time)
case default
   call error_mesg('days_in_year','Invalid calendar type in days_in_year',fatal)
end select
end function days_in_year
! </FUNCTION>

!--------------------------------------------------------------------------

function days_in_year_thirty(Time)

integer :: days_in_year_thirty
type(time_type), intent(in) :: time

days_in_year_thirty = 360

end function days_in_year_thirty

!---------------------------------------------------------------------------

function days_in_year_gregorian(Time)

integer :: days_in_year_gregorian
type(time_type), intent(in) :: time

if(leap_year_gregorian(time)) then
  days_in_year_gregorian = 366
else
  days_in_year_gregorian = 365
endif

end function days_in_year_gregorian

!--------------------------------------------------------------------------
function days_in_year_julian(Time)

integer :: days_in_year_julian
type(time_type), intent(in) :: time

if(leap_year_julian(time)) then
   days_in_year_julian = 366
else
   days_in_year_julian = 365
endif

end function days_in_year_julian

!--------------------------------------------------------------------------

function days_in_year_no_leap(Time)

integer :: days_in_year_no_leap
type(time_type), intent(in) :: time

days_in_year_no_leap = 365

end function days_in_year_no_leap

!--------------------------------------------------------------------------

! END OF days_in_year BLOCK

!==========================================================================
! <FUNCTION NAME="month_name">

!   <OVERVIEW>
!      Returns a character string containing the name of the
!      month corresponding to month number n. 
!   </OVERVIEW>
!   <DESCRIPTION>
!      Returns a character string containing the name of the
!      month corresponding to month number n. Definition is the
!      same for all calendar types. 
!   </DESCRIPTION>
!   <TEMPLATE> month_name(n) </TEMPLATE>
!   <IN NAME="n" TYPE="integer">Month number.</IN>
!   <OUT NAME="month_name" TYPE="character(len=9)">
!      The character string associated with a month.
!      All calendars have 12 months and return full
!      month names, not abreviations.
!   </OUT>

function month_name(n)

! Returns character string associated with a month, for now, all calendars
! have 12 months and will return standard names.

character (len=9) :: month_name
integer, intent(in) :: n
character (len = 9), dimension(12) :: months = (/'January  ', 'February ', &
          'March    ', 'April    ', 'May      ', 'June     ', 'July     ', &
          'August   ', 'September', 'October  ', 'November ', 'December '/) 

if(.not.module_is_initialized) call time_manager_init

if(n < 1 .or. n > 12) call error_mesg('month_name','Illegal month index',fatal)

month_name = months(n)

end function month_name
! </FUNCTION>

!==========================================================================

 function error_handler(routine, err_msg_local, err_msg)

! The purpose of this routine is to prevent the addition of an excessive amount of code in order to implement
! the error handling scheme involving an optional error flag of type character.
! It allows one line of code to accomplish what would otherwise require 6 lines.
! A value of .true. for this function is a flag to the caller that it should immediately return to it's caller.

 logical :: error_handler
 character(len=*), intent(in) :: routine, err_msg_local
 character(len=*), intent(out), optional :: err_msg

 error_handler = .false.
 if(present(err_msg)) then
   err_msg = err_msg_local
   error_handler = .true.    
 else
   call error_mesg(trim(routine),trim(err_msg_local),fatal)
 endif

 end function error_handler

!==========================================================================
!------------------------------------------------------------------------
! <SUBROUTINE NAME="time_manager_init">

!   <OVERVIEW>
!      Writes the version information to the log file
!   </OVERVIEW>
!   <DESCRIPTION>
!      Initialization routine.
!      Writes the version information to the log file
!   </DESCRIPTION>
!   <TEMPLATE>time_manager_init()</TEMPLATE>

subroutine time_manager_init ( )

  if (module_is_initialized) return  ! silent return if already called

  call write_version_number("TIME_MANAGER_MOD", version)
  module_is_initialized = .true.

end subroutine time_manager_init
! </SUBROUTINE>

!------------------------------------------------------------------------
! <SUBROUTINE NAME="print_time">

!   <OVERVIEW>
!      Prints the given time_type argument as a time (using days, seconds and ticks)
!   </OVERVIEW>
!   <DESCRIPTION>
!      Prints the given time_type argument as a time (using days, seconds and ticks)
!      NOTE: there is no check for PE number.
!   </DESCRIPTION>
!   <TEMPLATE>print_time (time,str,unit)</TEMPLATE>
!   <IN NAME="time" TYPE="time_type"> Time that will be printed. </IN>
!   <IN NAME="str" TYPE="character (len=*)" DEFAULT="TIME: or DATE:"> 
!      Character string that precedes the printed time or date.
!   </IN>
!   <IN NAME="unit" TYPE="integer">
!      Unit number for printed output. The default unit is stdout.
!   </IN>
subroutine print_time (Time,str,unit)
type(time_type)  , intent(in) :: time
character (len=*), intent(in), optional :: str
integer          , intent(in), optional :: unit
integer :: s,d,ticks, ns,nd,nt, unit_in
character(len=19) :: fmt

! prints the time to standard output (or optional unit) as days and seconds
! NOTE: there is no check for PE number

  unit_in = stdout()
  if (present(unit)) unit_in = unit

  call get_time (time,s,d,ticks)

! format output
! get number of digits for days and seconds strings
   nd = int(log10(real(max(1,d))))+1
   ns = int(log10(real(max(1,s))))+1
   nt = int(log10(real(max(1,ticks))))+1
   write (fmt,10) nd, ns, nt
10 format ('(a,i',i2.2,',a,i',i2.2,',a,i',i2.2,')')

  if (present(str)) then
     write (unit_in,fmt) trim(str)//' day=', d, ', sec=', s, ', ticks=', ticks
  else
     write (unit_in,fmt)       'TIME: day=', d, ', sec=', s, ', ticks=', ticks
  endif

end subroutine print_time
! </SUBROUTINE>

!------------------------------------------------------------------------
! <SUBROUTINE NAME="print_date">

!   <OVERVIEW>
!      prints the time to standard output (or optional unit) as a date.
!   </OVERVIEW>
!   <DESCRIPTION>
!      Prints the given time_type argument as a date (using year, month, day,
!      hour, minutes, seconds and ticks). NOTE: there is no check for PE number.
!   </DESCRIPTION>
!   <TEMPLATE> print_date (time,str,unit)
!   </TEMPLATE>
!   <IN NAME="time" TYPE="time_type"> Time that will be printed. </IN>
!   <IN NAME="str" TYPE="character (len=*)" DEFAULT="TIME: or DATE:"> 
!      Character string that precedes the printed time or date.
!   </IN>
!   <IN NAME="unit" TYPE="integer">
!      Unit number for printed output. The default unit is stdout.
!   </IN>

subroutine print_date (Time,str,unit)
type(time_type)  , intent(in) :: time
character (len=*), intent(in), optional :: str
integer          , intent(in), optional :: unit
integer :: y,mo,d,h,m,s, unit_in
character(len=9) :: mon

! prints the time to standard output (or optional unit) as a date
! NOTE: there is no check for PE number

  unit_in = stdout()
  if (present(unit)) unit_in = unit

  call get_date (time,y,mo,d,h,m,s)
  mon = month_name(mo)
  if (present(str)) then
     write (unit_in,10) trim(str)//' ', y,mon(1:3),' ',d,' ',h,':',m,':',s
  else
     write (unit_in,10)       'DATE: ', y,mon(1:3),' ',d,' ',h,':',m,':',s
  endif
10 format (a,i4,1x,a3,4(a1,i2.2))

end subroutine print_date
! </SUBROUTINE>

!------------------------------------------------------------------------
! <FUNCTION NAME="valid_calendar_types">

!   <OVERVIEW>
!     Returns a character string that describes the
!     calendar type corresponding to the input integer.
!   </OVERVIEW>
!   <DESCRIPTION>
!     Returns a character string that describes the
!     calendar type corresponding to the input integer.
!   </DESCRIPTION>
!   <IN NAME="ncal" TYPE="integer">
!     An integer corresponding to a valid calendar type.
!   </IN>
!   <OUT NAME="err_msg" TYPE="character, optional" DIM="(scalar)">
!     When present, and when non-blank, a fatal error condition as been detected.
!     The string itself is an error message.
!     It is recommended that, when err_msg is present in the call
!     to this routine, the next line of code should be something
!     similar to this:
!     if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
!   </OUT>
!   <OUT NAME="valid_calendar_types" TYPE="character(len=24)">
!     A character string describing the calendar type.
!   </OUT>

function valid_calendar_types(ncal, err_msg)
integer, intent(in) :: ncal
character(len=*), intent(out), optional :: err_msg
character(len=24) :: valid_calendar_types
character(len=128) :: err_msg_local

if(.not.module_is_initialized) call time_manager_init

if(present(err_msg)) err_msg = ''

if(ncal == no_calendar) then
  valid_calendar_types = 'NO_CALENDAR             '
else if(ncal == thirty_day_months) then
  valid_calendar_types = 'THIRTY_DAY_MONTHS       '
else if(ncal == julian) then
  valid_calendar_types = 'JULIAN                  '
else if(ncal == gregorian) then
  valid_calendar_types = 'GREGORIAN               '
else if(ncal == noleap) then
  valid_calendar_types = 'NOLEAP                  '
else
  write(err_msg_local,'(a,i4,a)') 'calendar type=',ncal,' is invalid.'
  if(error_handler('function valid_calendar_types', err_msg_local, err_msg)) return
endif
end function valid_calendar_types
! </FUNCTION>
!------------------------------------------------------------------------

!--- get the a character string that represents the time. The format will be 
!--- yyyymmdd.hhmmss
function date_to_string(time, err_msg)
  type(time_type),  intent(in)            :: time
  character(len=*), intent(out), optional :: err_msg
  character(len=128)                      :: err_msg_local
  character(len=15)                       :: date_to_string
  integer                                 :: yr,mon,day,hr,min,sec

  if(present(err_msg)) err_msg = ''
  call get_date(time,yr,mon,day,hr,min,sec)
  if (yr <= 9999) then
     write(date_to_string,'(I4.4,I2.2,I2.2,".",I2.2,I2.2,I2.2)') yr, mon, day, hr, min, sec
  else
     write(err_msg_local, '(a,i4.4,a)') 'year = ', yr, ' should be less than 10000'
     if(error_handler('function date_to_string', err_msg_local, err_msg)) return
  endif

end function date_to_string

!> \author Tom Robinson
!! \email thomas.robinson@noaa.gov
!! \brief This routine converts the integer t%days to a string
subroutine time_list_error (T,Terr)
  type(time_type),  intent(in)            :: t     !< time_type input
  character(len=:),   allocatable         :: terr  !< String holding the t%days
!> Allocate the string
  allocate (character(len=10) :: terr)
!> Write the integer to the string
  write (terr,'(I0)') t%days
end subroutine time_list_error


end module time_manager_mod

! <INFO>

!   <TESTPROGRAM NAME="time_main2">  
!    <PRE>
!        use time_manager_mod
!        implicit none
!        type(time_type) :: dt, init_date, astro_base_date, time, final_date
!        type(time_type) :: next_rad_time, mid_date
!        type(time_type) :: repeat_alarm_freq, repeat_alarm_length
!        integer :: num_steps, i, days, months, years, seconds, minutes, hours
!        integer :: months2, length
!        real :: astro_days
!   
!   !Set calendar type
!   !    call set_calendar_type(THIRTY_DAY_MONTHS)
!        call set_calendar_type(JULIAN)
!   !    call set_calendar_type(NOLEAP)
!   
!   ! Set timestep
!        dt = set_time(1100, 0)
!   
!   ! Set initial date
!        init_date = set_date(1992, 1, 1)
!   
!   ! Set date for astronomy delta calculation
!        astro_base_date = set_date(1970, 1, 1, 12, 0, 0)
!   
!   ! Copy initial time to model current time
!        time = init_date
!   
!   ! Determine how many steps to do to run one year
!        final_date = increment_date(init_date, years = 1)
!        num_steps = (final_date - init_date) / dt
!        write(*, *) 'Number of steps is' , num_steps
!   
!   ! Want to compute radiation at initial step, then every two hours
!        next_rad_time = time + set_time(7200, 0)
!   
!   ! Test repeat alarm
!        repeat_alarm_freq = set_time(0, 1)
!        repeat_alarm_length = set_time(7200, 0)
!   
!   ! Loop through a year
!        do i = 1, num_steps
!   
!   ! Increment time
!        time = time + dt
!   
!   ! Test repeat alarm
!        if(repeat_alarm(time, repeat_alarm_freq, repeat_alarm_length)) &
!        write(*, *) 'REPEAT ALARM IS TRUE'
!   
!   ! Should radiation be computed? Three possible tests.
!   ! First test assumes exact interval; just ask if times are equal
!   !     if(time == next_rad_time) then
!   ! Second test computes rad on last time step that is <= radiation time
!   !     if((next_rad_time - time) < dt .and. time < next_rad) then
!   ! Third test computes rad on time step closest to radiation time
!         if(interval_alarm(time, dt, next_rad_time, set_time(7200, 0))) then
!           call get_date(time, years, months, days, hours, minutes, seconds)
!           write(*, *) days, month_name(months), years, hours, minutes, seconds
!   
!   ! Need to compute real number of days between current time and astro_base
!           call get_time(time - astro_base_date, seconds, days)
!           astro_days = days + seconds / 86400.
!   !       write(*, *) 'astro offset ', astro_days
!        end if
!   
!   ! Can compute daily, monthly, yearly, hourly, etc. diagnostics as for rad
!   
!   ! Example: do diagnostics on last time step of this month
!        call get_date(time + dt, years, months2, days, hours, minutes, seconds)
!        call get_date(time, years, months, days, hours, minutes, seconds)
!        if(months /= months2) then
!           write(*, *) 'last timestep of month'
!           write(*, *) days, months, years, hours, minutes, seconds
!        endif
!   
!   ! Example: mid-month diagnostics; inefficient to make things clear
!        length = days_in_month(time)
!        call get_date(time, years, months, days, hours, minutes, seconds)
!        mid_date = set_date(years, months, 1) + set_time(0, length) / 2
!   
!        if(time < mid_date .and. (mid_date - time) < dt) then
!           write(*, *) 'mid-month time'
!           write(*, *) days, months, years, hours, minutes, seconds
!        endif
!   
!        end do
!   
!    </PRE>
!   end program time_main2

!   </TESTPROGRAM>
!   <NOTE>
!     The <a name="base date">base date</a> is implicitly defined so users don't 
!     need to be concerned with it. For the curious, the base date is defined as 
!     0 seconds, 0 minutes, 0 hours, day 1, month 1, year 1
!   </NOTE>
!   <NOTE>
!     Please note that a time is a positive definite quantity.
!   </NOTE>
!   <NOTE>
!     See the <LINK SRC="TEST PROGRAM">Test Program </LINK> for a simple program 
!     that shows some of the capabilities of the time manager.
!   </NOTE>
! </INFO>

#ifdef test_time_manager
 program test
 use          mpp_mod, only: input_nml_file
 use          fms_mod, only: fms_init, fms_end, stderr
 use          fms_mod, only: open_namelist_file, check_nml_error, close_file, open_file
 use    constants_mod, only: constants_init, rseconds_per_day=>seconds_per_day
 use       fms_io_mod, only: fms_io_exit
 use time_manager_mod, only: time_type, set_date, get_date, set_time, set_calendar_type, real_to_time_type
 use time_manager_mod, only: length_of_year, leap_year, days_in_month, days_in_year, print_time
 use time_manager_mod, only: set_ticks_per_second, get_ticks_per_second
 use time_manager_mod, only: decrement_date, increment_date, get_time, increment_time, decrement_time
 use time_manager_mod, only: julian, gregorian, thirty_day_months, noleap
 use time_manager_mod, only: operator(-), operator(+),  operator(*),  operator(/),  &
                             operator(>), operator(>=), operator(==), operator(/=), &
                             operator(<), operator(<=), operator(//), assignment(=)

 implicit none

 type(time_type) :: time, time1, time2
 real    :: xx
 integer :: yr, mo, day, hr, min, sec, ticks
 integer :: year, month, dday, days_this_month
 integer :: days_per_month(12) = (/31,28,31,30,31,30,31,31,30,31,30,31/)
 logical :: leap
 integer :: nr, icode, nmlunit, ierr, io, nn, errunit, outunit
 character(len=256) :: err_msg, char_date
 character(len=8),  allocatable, dimension(:) :: test_time
 character(len=23), allocatable, dimension(:) :: test_date
 character(len=8) :: test_name

logical :: test1 =.true.,test2 =.true.,test3 =.true.,test4 =.true.,test5 =.true.,test6 =.true.,test7 =.true.,test8 =.true.
logical :: test9 =.true.,test10=.true.,test11=.true.,test12=.true.,test13=.true.,test14=.true.,test15=.true.,test16=.true.
logical :: test17=.true.,test18=.true.,test19=.true.

 namelist / test_nml / test1 ,test2 ,test3 ,test4 ,test5 ,test6 ,test7 ,test8,  &
                       test9 ,test10,test11,test12,test13,test14,test15,test16, &
                       test17,test18,test19

 call fms_init
 call constants_init

#ifdef INTERNAL_FILE_NML
   read (input_nml_file, test_nml, iostat=io)
   ierr = check_nml_error(io, 'test_nml')
#else
 nmlunit = open_namelist_file()
 ierr=1
 do while (ierr /= 0)
   read(nmlunit, nml=test_nml, iostat=io, end=12)
   ierr = check_nml_error(io, 'test_nml')
 enddo
 12 call close_file (nmlunit)
#endif

 outunit = open_file(file='test_time_manager.out', form='formatted', action='write')
 errunit = stderr()
 call set_ticks_per_second(10)

 !==============================================================================================
 ! Tests of set_time_i and get_time without ticks

 if(test1) then
   write(outunit,'(/,a)') '#################################  test1  #################################' 
   time = set_time(seconds=2, days=1)
   call get_time(time, sec, day, ticks)
   write(outunit,'(a,i2,a,i8,a,i2)') ' test1.1: days=',day,' seconds=',sec,' ticks=',ticks
   call get_time(time, sec, day)
   write(outunit,'(a,i2,a,i8)') ' test1.2: days=',day,' seconds=',sec
   call get_time(time, sec)
   write(outunit,'(a,i8)') ' test1.2: seconds=',sec
 endif
 !==============================================================================================
 ! Tests of set_time_i and get_time with ticks

 if(test2) then
   write(outunit,'(/,a)') '#################################  test2  #################################' 
   time = set_time(seconds=2, days=1, ticks=5)
   call get_time(time, sec, day, ticks)
   write(outunit,'(a,i2,a,i6,a,i2)') ' test2.1: days=',day,' seconds=',sec,' ticks=',ticks
   call get_time(time, sec, ticks=ticks)
   write(outunit,'(a,i6,a,i2)') ' test2.2: seconds=',sec,' ticks=',ticks
   call get_time(time, sec, day, err_msg=err_msg)
   if(err_msg /= '') then
     write(outunit,'(a)') ' test2.3 successful: '//trim(err_msg)
   else
     write(outunit,'(a,i2,a,i8)') ' test2.3 fails. days=',day,' seconds=',sec
   endif
   call get_time(time, sec, err_msg=err_msg)
   if(err_msg /= '') then
     write(outunit,'(a)') ' test2.4 successful: '//trim(err_msg)
   else
     write(outunit,'(a,i8)') ' test2.4 fails.  seconds=',sec
   endif
 endif
 !==============================================================================================
 ! Tests of time operators
 ! Test of function scalar_time_mult is not necessary, it simply calls time_scalar_mult.
 ! Test of function time_ne is not necessary, it simply calls time_eq.
 ! Test of function time_ge is not necessary, it simply calls time_gt.
 ! Test of function time_le is not necessary, it simply calls time_lt and time_eq.
 ! Test of function time_ne is not necessary, it simply calls time_eq.

  if(test3) then
    write(outunit,'(/,a)') '#################################  test3  #################################'
 !  Test of function time_plus
    call print_time(set_time(seconds=0, days=2, ticks=5) + set_time(seconds=0, days=2, ticks=6), 'test3.1:', unit=outunit)

 !  Test of function time_minus
 !  The minus operator for time ensures a positive result. In effect is does this: abs(time1-time2)
    call print_time(set_time(seconds=0, days=2, ticks=5) - set_time(seconds=0, days=2, ticks=6), 'test3.2:', unit=outunit)

 !  Test of function time_scalar_mult.  Note that 25000*86399 is greater than huge = 2**31 - 1
    call print_time(2*set_time(seconds=0, days=2, ticks=6), 'test3.3:', unit=outunit)
    call print_time(25000*set_time(seconds=86399, days=0, ticks=0), 'test3.4:', unit=outunit)

 !  Test of function time_scalar_divide
    call print_time(set_time(seconds=0, days=60000, ticks=2)/2, 'test3.5:', unit=outunit)

 !  Test of function time_real_divide
    xx = set_time(seconds=0, days=60000, ticks=2)//set_time(seconds=86400)
    write(outunit,'("test3.6: xx=",f15.9)') xx

 !  Test of function time_divide
    nn = set_time(seconds=0, days=60000, ticks=2)//set_time(seconds=86400)
    write(outunit,'("test3.7: nn=",i6)') nn

 !  Test of function time_gt
    if(set_time(seconds=1, days=1, ticks=2) > set_time(seconds=1, days=1, ticks=1)) then
      write(outunit,'("test3.8 successful")')
    else
      write(outunit,'("test3.8 fails")')
    endif
    if(set_time(seconds=1, days=1, ticks=2) > set_time(seconds=1, days=1, ticks=2)) then
      write(outunit,'("test3.9 fails")')
    else
      write(outunit,'("test3.9 successful")')
    endif

 !  Test of function time_lt
    if(set_time(seconds=1, days=1, ticks=1) < set_time(seconds=1, days=1, ticks=2)) then
      write(outunit,'("test3.10 successful")')
    else
      write(outunit,'("test3.10 fails")')
    endif
    if(set_time(seconds=1, days=1, ticks=2) < set_time(seconds=1, days=1, ticks=2)) then
      write(outunit,'("test3.11 fails")')
    else
      write(outunit,'("test3.11 successful")')
    endif

 !  Test of function time_eq
    if(set_time(seconds=1, days=1, ticks=1) == set_time(seconds=1, days=1, ticks=1)) then
      write(outunit,'("test3.12 successful")')
    else
      write(outunit,'("test3.12 fails")')
    endif
    if(set_time(seconds=1, days=1, ticks=1) == set_time(seconds=1, days=1, ticks=2)) then
      write(outunit,'("test3.13 fails")')
    else
      write(outunit,'("test3.13 successful")')
    endif
  endif
 !==============================================================================================
 ! Tests of set_time_c

 if(test4) then
   write(outunit,'(/,a)') '#################################  test4  #################################'
   test_name = 'test4.  '
   allocate(test_time(15))
   test_time( 1: 6) = (/'1 10    ','1 10.   ','1 10.000','1  0.0  ','1   .000','1   .   '/)
   test_time( 7: 9) = (/'1 10.20 ','1 10.300','1  0.40 '/)
   test_time(10:15) = (/'1   .510','2 .50001','1.0 10.2','10.30000','10-0.40 ','10:1.510'/) ! invalid forms
   do nr=1,9
     write(test_name(7:8),'(i2.2)') nr
     time = set_time(trim(test_time(nr)), err_msg=err_msg, allow_rounding=.false.)
     if(err_msg == '') then
       call print_time(time, test_name//':', unit=outunit)
     else
       write(outunit,'(a)') test_name//' fails: '//trim(err_msg)
     endif
   enddo

   test_time(1:6) = (/'1   .510','2 .50001','1.0 10.2','10.30000','10-0.40 ','10:1.510'/)
   do nr=10,15
     write(test_name(7:8),'(i2.2)') nr
     time = set_time(trim(test_time(nr)), err_msg=err_msg, allow_rounding=.false.)
     if(err_msg /= '') then
       write(outunit,'(a)') test_name//' successful: '//trim(err_msg)
     else
       write(outunit,'(a)') test_name//' fails '
     endif
   enddo
 endif

 !==============================================================================================
 ! Tests of set_date_i
 
 if(test5) then
   write(outunit,'(/,a)') '#################################  test5  #################################'
   call set_calendar_type(julian)
   call print_time(set_date(1980, 1, 1, 0, 0, 0),' test5.1:', unit=outunit)
   call print_time(set_date(1980, 1, 2, 3, 4, 5, 6),' test5.2:', unit=outunit)
   call print_time(set_date(1980, 1, 2, tick=6),' test5.3:', unit=outunit)
   time = set_date(1980, 1, 2, tick=10, err_msg=err_msg)
   if(err_msg == '') then
     write(outunit,'(a)') ' test5.4 fails'
   else
     write(outunit,'(a)') ' test5.4 successful: '//trim(err_msg)
   endif
 endif
 !==============================================================================================
 ! Tests of set_date_c

 if(test6) then
   write(outunit,'(/,a)') '#################################  test6  #################################'
   test_name = 'test6.  '
   call set_calendar_type(gregorian)
   allocate(test_date(6))
   test_date(1:3) = (/' 1980-12-30 01:01:11   ',' 1980-12-30 01:01:11.50',' 1980-12-30 01:01:11.55'/)
   test_date(4:6) = (/' 1980-12-30 01:01:11.96','   1980-1-3 1:1:11     ','   1980-1-3 1:1:11.99  '/)
   do nr=1,6
     write(test_name(7:8),'(i2.2)') nr
     time = set_date(trim(test_date(nr)), err_msg=err_msg, allow_rounding=.true., zero_year_warning=.true.)
     if(err_msg == '') then
       call print_time(time,test_name//' successful:', unit=outunit)
     else
       write(outunit,'(a)') test_name//'fails: '//trim(err_msg)
     endif
   enddo
   call set_calendar_type(thirty_day_months)
   call print_time(set_date('1900-02-30 00:00:00'),'test6.7:', unit=outunit)
   time = set_date('1900-01-31 00:00:00', err_msg=err_msg)
   if(err_msg == '') then
     write(outunit,'(a)') 'test6.8 fails'
   else
     write(outunit,'(a)') 'test6.8 successful '//trim(err_msg)
   endif
   call set_calendar_type(julian)
   time = set_date('1901-02-29 00:00:00', err_msg=err_msg)
   if(err_msg == '') then
     write(outunit,'(a)') 'test6.9 fails'
   else
     write(outunit,'(a)') 'test6.9 successful '//trim(err_msg)
   endif
 endif
!==============================================================================================
! Tests of decrement_date and increment_date

 if(test7) then
   write(outunit,'(/,a)') '#################################  test7  #################################'
   char_date = '1904-01-01 00:00:00'
   write(outunit,'(a)') ' Initial date='//trim(char_date)//':00'

   do nr=1,4
     write(outunit,'("=================================================================")')
     if(nr == 1) then
       call set_calendar_type(thirty_day_months)
       write(outunit,'(" THIRTY_DAY_MONTHS")')
     endif
     if(nr == 2) then
       call set_calendar_type(noleap)
       write(outunit,'(" NOLEAP")')
     endif
     if(nr == 3) then
       call set_calendar_type(julian)
       write(outunit,'(" JULIAN")')
     endif
     if(nr == 4) then
       call set_calendar_type(gregorian)
       write(outunit,'(" GREGORIAN")')
     endif
     time1 = set_date(trim(char_date))
     do year=-1,1
       do month=-1,1
         write(outunit,'(" test of decrement_date increments: year=",i2," month=",i2)') year,month
         time2 = decrement_date(time1, year, month, err_msg=err_msg)
         if(err_msg /= '') then
           write(outunit,'(a)') 'test of decrement_date fails '//trim(err_msg)
         else
           call get_date(time2, yr, mo, day, hr, min, sec, ticks)
           write(outunit,20) yr, mo, day, hr, min, sec, ticks
         endif
       enddo
     enddo
     time1 = set_date(1, 1, 2, 1, 1, 1, 1, err_msg)
     write(outunit,'(" Initial date = 01-01-02 01:01:01:01")')
     do icode=0,242
       day   = modulo(icode/81,3) - 1
       hr    = modulo(icode/27,3) - 1
       min   = modulo(icode/9, 3) - 1
       sec   = modulo(icode/3, 3) - 1
       ticks = modulo(icode   ,3) - 1
       write(outunit,11) day, hr, min, sec, ticks
       time2 = increment_date(time1, 0, 0, day, hr, min, sec, ticks, err_msg)
       call get_date(time2, yr, mo, day, hr, min, sec, ticks)
       write(outunit,20) yr, mo, day, hr, min, sec, ticks
     enddo
   enddo
 endif

  11 format(' test of increment_date increments: day=',i2,' hr=',i2,' min=',i2,' sec=',i2,' ticks=',i2)
  20 format(' time=',i4.4, '-', i2.2, '-', i2.2, ' ', i2.2, ':', i2.2, ':', i2.2, ':', i2.2)
 !==============================================================================================
 ! Tests involving Feb 29

  if(test8) then
    write(outunit,'(/,a)') '#################################  test8  #################################'
    call set_calendar_type(thirty_day_months)
    time = set_date('1904-02-29 00:00:00', err_msg=err_msg)
    if(err_msg == '') then
      call print_time(time, 'test8.1 successful', unit=outunit)
    else
      write(outunit,'(a)') 'test8.1 fails: '//trim(err_msg)
    endif

    call set_calendar_type(noleap)
    time = set_date('1904-02-29 00:00:00', err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test8.2 fails'
    else
      write(outunit,'(a)') 'test8.2 successful: '//trim(err_msg)
    endif

    call set_calendar_type(gregorian)
    time = set_date('1900-02-29 00:00:00', err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test8.3 fails'
    else
      write(outunit,'(a)') 'test8.3 successful: '//trim(err_msg)
    endif
    time = set_date('2000-02-29 00:00:00', err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test8.4 successful'
    else
      write(outunit,'(a)') 'test8.4 fails: '//trim(err_msg)
    endif

    call set_calendar_type(julian)
    time = set_date('1900-02-29 00:00:00', err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test8.5 successful'
    else
      write(outunit,'(a)') 'test8.5 fails: '//trim(err_msg)
    endif
    time = set_date('1901-02-29 00:00:00', err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test8.6 fails'
    else
      write(outunit,'(a)') 'test8.6 successful: '//trim(err_msg)
    endif
  endif
 !==============================================================================================
 ! Tests of days_in_month

  if(test9) then
    write(outunit,'(/,a)') '#################################  test9  #################################'
    day = days_in_month(set_date('1901-02-28 00:00:00'))
    write(outunit,'(a,i4)') ' test9.1: day=',day
    day = days_in_month(set_date('1901-07-01 00:00:00'))
    write(outunit,'(a,i4)') ' test9.2: day=',day
  endif
 !==============================================================================================
 ! Tests of get_time error flag

  if(test10) then
    write(outunit,'(/,a)') '#################################  test10  #################################'
    time = set_time(seconds=2, days=1, ticks=1)
    call get_time(time, seconds=sec, days=day, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test10.1 fails'
    else
      write(outunit,'(a)') 'test10.1 successful: '//trim(err_msg)
    endif
    call set_calendar_type(gregorian)
    time = set_time(seconds=2, days=1, ticks=1)
    call get_date(time, yr, mo, day, hr, min, sec, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test10.2 fails'
    else
      write(outunit,'(a)') 'test10.2 successful: '//trim(err_msg)
    endif
  endif
 !==============================================================================================
 ! Tests of increment_time and decrement_time
      
  if(test11) then
    write(outunit,'(/,a)') '#################################  test11  #################################'
    call print_time(increment_time(set_time(seconds=0, days=2), seconds=0, days=1),'test11.1:', unit=outunit)
    call print_time(decrement_time(set_time(seconds=0, days=2), seconds=0, days=1),'test11.2:', unit=outunit)
    call print_time(increment_time(set_time(seconds=0, days=2, ticks=5), seconds=400, days=1, ticks=14),'test11.3:', unit=outunit)
    call print_time(decrement_time(set_time(seconds=0, days=2, ticks=5), seconds=400, days=1, ticks=14),'test11.4:', unit=outunit)
  endif
 !==============================================================================================
 !  Tests of negative increments in increment_time and decrement_time

  if(test12) then
    write(outunit,'(/,a)') '#################################  test12  #################################'
    call print_time(increment_time(set_time(seconds=0, days=2), seconds=0, days=-1),'test12.1:', unit=outunit)
    call print_time(decrement_time(set_time(seconds=0, days=2), seconds=0, days=-1),'test12.2:', unit=outunit)
    call print_time(increment_time(set_time(seconds=0, days=2, ticks=5),seconds=-400,days=-1,ticks=-14),'test12.3:',unit=outunit)
    call print_time(decrement_time(set_time(seconds=0, days=2, ticks=5),seconds=-400,days=-1,ticks=-14),'test12.4:',unit=outunit)
  endif
 !==============================================================================================
 !  Test of trap for negative time

  if(test13) then
    write(outunit,'(/,a)') '#################################  test13  #################################'
    time = set_time(seconds= 2, days=0, ticks=-21, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test13.1 fails'
    else
      write(outunit,'(a)') 'test13.1 successful: '//trim(err_msg)
    endif
  endif
 !==============================================================================================
 !  Tests of negative seconds and/or ticks

  if(test14) then
    write(outunit,'(/,a)') '#################################  test14  #################################'
    call print_time(set_time(seconds=-86399, days=2, ticks=-10),'test14.1:', unit=outunit)
    call print_time(set_time(seconds=-86390, days=2, ticks=-95),'test14.2:', unit=outunit)
    call print_time(set_time(seconds= 86400, days=2, ticks= 95),'test14.3:', unit=outunit)
  endif
 !==============================================================================================
 !  Tests of consistency of day numbering between calendars

  if(test15) then
    write(outunit,'(/,a)') '#################################  test15  #################################'
    call set_calendar_type(gregorian)
    time = set_date(1, 1, 1)
    call get_time(time, sec, day)
    write(outunit,10) 'GREGORIAN',day

    call set_calendar_type(julian)
    time = set_date(1, 1, 1)
    call get_time(time, sec, day)
    write(outunit,10) 'JULIAN',day

    call set_calendar_type(thirty_day_months)
    time = set_date(1, 1, 1)
    call get_time(time, sec, day)
    write(outunit,10) 'THIRTY_DAY_MONTHS',day

    call set_calendar_type(noleap)
    time = set_date(1, 1, 1)
    call get_time(time, sec, day)
    write(outunit,10) 'NOLEAP',day
  endif

  10 format(a17,' Jan 1 year 1 is day=',i6)

 !==============================================================================================
 ! Tests of error message for invalid dates

  if(test16) then
    write(outunit,'(/,a)') '#################################  test16  #################################'
    call set_calendar_type(gregorian)
    time = set_date(1900, 1, 32, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.1 fails'
    else
      write(outunit,'(a)') 'test16.1 successful: '//trim(err_msg)
    endif

    time = set_date(1900, 4, 31, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.2 fails'
    else
      write(outunit,'(a)') 'test16.2 successful: '//trim(err_msg)
    endif

    time = set_date(1900, 2, 29, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.3 fails'
    else
      write(outunit,'(a)') 'test16.3 successful: '//trim(err_msg)
    endif

    call set_calendar_type(julian)
    time = set_date(1900, 1, 0, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.4 fails'
    else
      write(outunit,'(a)') 'test16.4 successful: '//trim(err_msg)
    endif

    call set_calendar_type(noleap)
    time = set_date(1900, 0, 1, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.5 fails'
    else
      write(outunit,'(a)') 'test16.5 successful: '//trim(err_msg)
    endif

    time = set_date(1900, 1, 1, tick=11, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.6 fails'
    else
      write(outunit,'(a)') 'test16.6 successful: '//trim(err_msg)
    endif

    call set_calendar_type(thirty_day_months)
    time = set_date(1900, 13, 1, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.7 fails'
    else
      write(outunit,'(a)') 'test16.7 successful: '//trim(err_msg)
    endif

    time = set_date(1900, 12, 31, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.8 fails'
    else
      write(outunit,'(a)') 'test16.8 successful: '//trim(err_msg)
    endif

    call set_calendar_type(julian)
    time = set_date(1900, 4, 31, err_msg=err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test16.9 fails'
    else
      write(outunit,'(a)') 'test16.9 successful: '//trim(err_msg)
    endif
  endif
 !==============================================================================================
 !  Tests of Gregorian calendar
 !  This test loops through every day of an 400 year period and writes a line to the output file for each day.

  if(test17) then
    write(outunit,'(/,a)') '#################################  test17  #################################'
    write(errunit,'(/,a)') ' ====================================================='
    write(errunit,'(a)')   '  Warning: test17 produces voluminous output.'
    write(errunit,'(a)')   '  It can be turned off with: &test_nml test17=.false./'
    write(errunit,'(a,/)') ' ====================================================='
    call set_calendar_type(gregorian)
    do year=1801,2200
      leap = mod(year,4) == 0
      leap = leap .and. .not.mod(year,100) == 0
      leap = leap .or. mod(year,400) == 0
      do month=1,12
        days_this_month = days_per_month(month)
        if(leap .and. month == 2) days_this_month = 29
        do dday=1,days_this_month
          time = set_date(year, month, dday, 0, 0, 0) 
          call get_date(time, yr, mo, day, hr, min, sec)
          write(outunit,100) yr, mo, day, leap_year(time), days_in_month(time), days_in_year(time)
        enddo
      enddo
    enddo
  endif
  100 format('yr=',i4,' mo=',i2,' day=',i2,' leap=',l1,' days_in_month=',i2,' days_in_year=',i3)
 !==============================================================================================
 !  Tests of length_of_year

  if(test18) then
    write(outunit,'(/,a)') '#################################  test18  #################################'
    call set_calendar_type(thirty_day_months)
    call print_time(length_of_year(), 'length_of_year for THIRTY_DAY_MONTHS:', unit=outunit)
    call set_calendar_type(noleap)
    call print_time(length_of_year(), 'length_of_year for NOLEAP:', unit=outunit)
    call set_calendar_type(julian)
    call print_time(length_of_year(), 'length_of_year for JULIAN:', unit=outunit)
    call set_calendar_type(gregorian)
    call print_time(length_of_year(), 'length_of_year for GREGORIAN:', unit=outunit)
  endif
 !==============================================================================================
 !  Tests of real_to_time_type

  if(test19) then
    write(outunit,'(/,a)') '#################################  test19  #################################'
    call print_time(real_to_time_type(86401.1), 'real_to_time_type(86401.1):', unit=outunit)
    time = real_to_time_type(-1.0, err_msg)
    if(err_msg == '') then
      write(outunit,'(a)') 'test of real_to_time_type fails'
    else
      write(outunit,'(a)') 'test successful: '//trim(err_msg)
    endif
  endif
 !==============================================================================================
  write(outunit,'(/,a)') '############################################################################'
  write(outunit,'(a,i6)') ' ticks_per_second=',get_ticks_per_second()

 call fms_io_exit
 call fms_end
 end program test
#endif