time_manager.F90

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!> @defgroup time_manager_mod time_manager_mod
!> @ingroup time_manager
!> @brief A software package that provides a set of simple interfaces for
!!   modelers to perform computations related to time and dates.
!!
!! Optional error flag can be used in 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.
!!
!! Calendar specific routines are private.
!! They are not used, and should not be used, by any using code.
!!
!! 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 base date 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.
 
!> @addtogroup time_manager_mod
!> @{
module time_manager_mod
 
 
use platform_mod, only: r8_kind, r4_kind
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,parameter :: do_floor = 0
integer,parameter :: do_nearest = 1
 
!> @}
 
!> @brief Type to represent amounts of time.
!> Implemented as seconds and days to allow for larger intervals.
!> @ingroup time_manager_mod
type :: time_type
   private
   integer:: seconds
   integer:: days
   integer:: ticks
end type time_type
 
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (+);   module procedure time_plus;        end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (-);   module procedure time_minus;       end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (*);   module procedure time_scalar_mult
                          module procedure scalar_time_mult; end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (/);   module procedure time_scalar_divide
                          module procedure time_divide;      end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (>);   module procedure time_gt;          end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (>=);  module procedure time_ge;          end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (<);   module procedure time_lt;          end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (<=);  module procedure time_le;          end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (==);  module procedure time_eq;          end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (/=);  module procedure time_ne;          end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface operator (//);  module procedure time_real_divide; end interface
!> Operator override interface for use with @ref time_type
!> @ingroup time_manager_mod
interface assignment(=);  module procedure time_assignment;  end interface
 
!======================================================================
 
!> @brief Given some number of seconds and days, returns the
!! corresponding time_type.
!!
!> 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 with the day and second counts.
!! 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.
!!
!! <br>Example usage:
!! @code{.F90}
!! type(time_type) :: time1, time2
!! time1 = set_time(seconds, days, ticks, err_msg)
!! time2 = set_time("100 43200", err_msg, allow_rounding)
!! @endcode
!> @ingroup time_manager_mod
interface set_time
  module procedure set_time_i, set_time_c
end interface
 
!> @brief Given an input date in year, month, days, etc., creates a
!! time_type that represents this time interval from the
!! internally defined base date.
!!
!> 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.
!!
!! <br>Example usage:
!! <br> Integer input
!! @code{.F90} time = set_date(year, month, day, hours, minute, second, tick, err_msg) @endcode
!! <br> String input
!! @code{.F90} time = set_date(time_string, zero_year_warning, err_msg, allow_rounding) @endcode
!!
!! @param time_string A character string containing a date formatted
!! according to CF conventions. e.g. '1980-12-31 23:59:59.9'
!!
!! @param 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.
!!
!! @param allow_rounding 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.
!!
!! @param err_msg 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:
!! @code{.F90}
!! if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg) ,FATAL)
!! @endcode
!!
!> @ingroup time_manager_mod
interface set_date
  module procedure set_date_i, set_date_c
end interface
 
!> Wrapper for the real to time interface
!! Takes seconds as reals to convert to a time_type representation of an interval
!! r4 versions just casts to r8
interface real_to_time_type
  module procedure real4_to_time_type
  module procedure real8_to_time_type
end interface
 
!> @addtogroup time_manager_mod
!> @{
 
!======================================================================
 
! 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
 
!> 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.
 function set_time_private(seconds, days, ticks, Time_out, err_msg)
 
! -- 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(real(ticks, r8_kind)/real(ticks_per_second, r8_kind))
 ticks_new = modulo(ticks,ticks_per_second)
 days_new = days + floor(real(seconds_new, r8_kind)/real(seconds_per_day, r8_kind))
 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
!---------------------------------------------------------------------------
 !> @brief Returns a time_type set to the given amount of time via integer amounts.
 function set_time_i(seconds, days, ticks, err_msg)
 type(time_type)               :: set_time_i
 integer, intent(in)           :: seconds !< A number of seconds
 integer, intent(in), optional :: days !< A number of days
 integer, intent(in), optional :: ticks !< A number of ticks
 character(len=*), intent(out), optional :: err_msg !< 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)
 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
!---------------------------------------------------------------------------
 
 !> @brief Returns a time_type set to the given amount of time via a string
 function set_time_c(string, err_msg, allow_rounding)
 
 type(time_type) :: set_time_c
 character(len=*), intent(in) :: string !< 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'
 character(len=*), intent(out), optional :: err_msg !< 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)
 logical, intent(in), optional :: allow_rounding !< 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.
 
 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 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, r8_kind)/real(magnitude, r8_kind)))
     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
 
!> @brief Returns days and seconds ( < 86400 ) corresponding to a time.
!! <TT>err_msg</TT> should be checked for any errors.
!!
!> @param time A @ref time_type interval to get days and seconds from
!! @param [out] seconds The number of seconds
!! @param [out] days The number of seconds
!! @param [out] ticks The number of ticks
!! @param [out] err_msg Contains an error message on failure
!! <br>Example usage:
!! @code{.F90} get_time(time, seconds, days, ticks, err_msg) @endcode
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
 
 !> @brief Increments a time by seconds and days.
 !!
 !> Given a time and an increment of days and seconds, returns
 !! a new time_type that represents the given time after the given increment.
 !! @returns incremented @ref time_type
 function increment_time(Time, seconds, days, ticks, err_msg, allow_neg_inc)
 
 type(time_type)               :: increment_time
 type(time_type), intent(in)   :: time !< A time interval
 integer, intent(in)           :: seconds !< Increment of seconds
 integer, intent(in), optional :: days, ticks !< Increment of days and ticks
 character(len=*), intent(out), optional :: err_msg !< When present and non-blank, a fatal error
                                             !! condition has been detected, with the string itself
                                             !! as the error message.
 logical, intent(in), optional :: allow_neg_inc !< When false, negative increments give fatal errors
                                                !! Defaults to true.
 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
!--------------------------------------------------------------------------
 
 !> Increments a time by seconds, days and ticks.
 function increment_time_private(Time_in, seconds, days, ticks, Time_out, err_msg)
 
 
 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
 
!--------------------------------------------------------------------------
 
!> @brief Decrements a time by seconds and days.
!!
!> Given a time and a decrement of days and seconds, returns
!! a time that subtracts this decrement from an input time.
!> @returns A time that suvtracts this decrement from an input time. A negative result is a fatal error.
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 !< A time interval
integer, intent(in)           :: seconds !< Decrement of seconds
integer, intent(in), optional :: days, ticks !< Decrement of days and ticks
character(len=*), intent(out), optional :: err_msg !< Present and non-blank when a fatal error has
                                                   !! occured, holds the error message.
logical, intent(in), optional :: allow_neg_inc !< Throws fatal warning when set to false if
                                               !! negative values are used to decrement. Default
                                               !! is true.
 
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
 
!--------------------------------------------------------------------------
 
!> @brief Returns true if time1 > time2
function time_gt(time1, time2)
 
logical :: time_gt
type(time_type), intent(in) :: time1 !< time interval to compare
type(time_type), intent(in) :: time2 !< time interval to compare
 
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
 
!--------------------------------------------------------------------------
 
!> Returns true if time1 >= time2.
function time_ge(time1, time2)
logical :: time_ge
type(time_type), intent(in) :: time1 !< time interval to compare
type(time_type), intent(in) :: time2 !< time interval to compare
 
time_ge = (time_gt(time1, time2) .or. time_eq(time1, time2))
 
end function time_ge
 
!--------------------------------------------------------------------------
 
!> Returns true if time1 < time2
function time_lt(time1, time2)
logical :: time_lt
type(time_type), intent(in) :: time1 !< time interval to compare
type(time_type), intent(in) :: time2 !< time interval to compare
 
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
 
!--------------------------------------------------------------------------
 
!> Returns true if time1 <= time2
function time_le(time1, time2)
logical :: time_le
type(time_type), intent(in) :: time1 !< time interval to compare
type(time_type), intent(in) :: time2 !< time interval to compare
 
time_le = (time_lt(time1, time2) .or. time_eq(time1, time2))
 
end function time_le
 
!--------------------------------------------------------------------------
 
!> Returns true if time1 == time2
function time_eq(time1, time2)
logical :: time_eq
type(time_type), intent(in) :: time1 !< time interval to compare
type(time_type), intent(in) :: time2 !< time interval to compare
 
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
 
!--------------------------------------------------------------------------
 
!> Returns true if time1 /= time2
function time_ne(time1, time2)
logical :: time_ne
type(time_type), intent(in) :: time1 !< time interval to compare
type(time_type), intent(in) :: time2 !< time interval to compare
 
time_ne = (.not. time_eq(time1, time2))
 
end function time_ne
 
!-------------------------------------------------------------------------
 
!> Returns sum of two time_types
function time_plus(time1, time2)
type(time_type) :: time_plus
type(time_type), intent(in) :: time1 !< time interval to add
type(time_type), intent(in) :: time2 !< time interval to add
 
if(.not.module_is_initialized) call time_manager_init
 
time_plus = increment_time(time1, time2%seconds, time2%days, time2%ticks)
 
end function time_plus
 
!-------------------------------------------------------------------------
 
!> Returns difference of two time_types. WARNING: a time type is positive
!! so by definition time1 - time2  is the same as time2 - time1.
function time_minus(time1, time2)
type(time_type) :: time_minus
type(time_type), intent(in) :: time1 !< time interval to subtract
type(time_type), intent(in) :: time2 !< time interval to subtract
 
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
 
!--------------------------------------------------------------------------
 
!> Returns time multiplied by integer factor n
function time_scalar_mult(time, n)
type(time_type)             :: time_scalar_mult
type(time_type), intent(in) :: time !< time interval to multply
integer, intent(in)         :: n !< factor to multiply by
integer                     :: days, seconds, ticks, num_sec
real(r8_kind)               :: 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 = real(time%ticks, r8_kind) * real(n, r8_kind)
num_sec   = int(tick_prod/real(ticks_per_second, r8_kind))
sec_prod  = real(time%seconds, r8_kind) * real(n, r8_kind) + real(num_sec, r8_kind)
ticks     = int(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_r8_kind) 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 = int(sec_prod / real(seconds_per_day, r8_kind))
seconds = int(sec_prod - real(days, r8_kind) * real(seconds_per_day, r8_kind))
 
time_scalar_mult = set_time(seconds, time%days * n + days, ticks)
 
end function time_scalar_mult
 
!-------------------------------------------------------------------------
 
!> Returns time multipled by integer factor n
function scalar_time_mult(n, time)
 
type(time_type) :: scalar_time_mult
type(time_type), intent(in) :: time !< a time interval
integer, intent(in) :: n !< factor to mulitply by
 
scalar_time_mult = time_scalar_mult(time, n)
 
end function scalar_time_mult
 
!-------------------------------------------------------------------------
 
!> Returns the largest integer, n, for which time1 >= time2 * n.
function time_divide(time1, time2)
 
integer                     :: time_divide
type(time_type), intent(in) :: time1 !< a time interval (dividend)
type(time_type), intent(in) :: time2 !< a time interval (divisor)
real(r8_kind)               :: d1, d2
 
if(.not.module_is_initialized) call time_manager_init
 
! Convert time intervals to floating point days; risky for general performance?
d1 = real(time1%days, r8_kind) * real(seconds_per_day, r8_kind) + real(time1%seconds, r8_kind) &
     + real(time1%ticks, r8_kind)/real(ticks_per_second, r8_kind)
d2 = real(time2%days, r8_kind) * real(seconds_per_day, r8_kind) + real(time2%seconds, r8_kind) &
     + real(time2%ticks,r8_kind)/real(ticks_per_second, r8_kind)
 
! Get integer quotient of this, check carefully to avoid round-off problems.
time_divide = int(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
 
!> Returns the double precision quotient of two times
function time_real_divide(time1, time2)
 
real(r8_kind) :: time_real_divide
type(time_type), intent(in) :: time1 !< a time interval (dividend)
type(time_type), intent(in) :: time2 !< a time interval (divisor)
real(r8_kind) :: d1, d2
 
if(.not.module_is_initialized) call time_manager_init
 
! Convert time intervals to floating point seconds; risky for general performance?
d1 = real(time1%days, r8_kind) * real(seconds_per_day, r8_kind) + real(time1%seconds, r8_kind) + &
     real(time1%ticks, r8_kind)/real(ticks_per_second, r8_kind)
d2 = real(time2%days, r8_kind) * real(seconds_per_day, r8_kind) + real(time2%seconds, r8_kind) + &
     real(time2%ticks, r8_kind)/real(ticks_per_second, r8_kind)
 
time_real_divide = d1 / d2
 
end function time_real_divide
 
!-------------------------------------------------------------------------
 
!> Assigns all components of the time_type variable on
!! RHS to same components of time_type variable on LHS.
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
 
!> Converts time to seconds and returns it as a real number
function time_type_to_real(time)
 
real(kind=r8_kind)           :: time_type_to_real
type(time_type), intent(in) :: time
 
if(.not.module_is_initialized) call time_manager_init
 
time_type_to_real = real(time%days, r8_kind) * 86400.e0_r8_kind + real(time%seconds, r8_kind) + &
                    real(time%ticks, r8_kind)/real(ticks_per_second, r8_kind)
 
end function time_type_to_real
 
!> @brief Convert a real number of seconds into a time_type variable.
!! @return A filled time type variable, and an error message if an
!!         error occurs.
function real8_to_time_type(x,err_msg) result(t)
  real(r8_kind),intent(in) :: x !< Number of seconds.
  character(len=*),intent(out),optional :: err_msg !< Error message.
  type(time_type) :: t
  integer :: days
  integer :: seconds
  integer :: ticks
  character(len=128) :: err_msg_local
  real(r8_kind),parameter :: spd = 86400.0_r8_kind
  real(r8_kind) :: tps
  real(r8_kind) :: a
  tps = real(ticks_per_second, r8_kind)
  a = x/spd
  days = safe_rtoi(a,do_floor)
  a = x - real(days, r8_kind)*spd
  seconds = safe_rtoi(a,do_floor)
  a = (a - real(seconds, r8_kind))*tps
  ticks = safe_rtoi(a,do_nearest)
  if (.not. set_time_private(seconds,days,ticks,t,err_msg_local)) then
    if (error_handler('function real8_to_time_type',err_msg_local,err_msg)) then
      return
    endif
  endif
end function real8_to_time_type
 
function real4_to_time_type(x, err_msg) result(t)
  real(r4_kind), intent(in) :: x !< number of seconds
  character(len=*),intent(out),optional :: err_msg !< Error message.
  type(time_type) :: t
  t = real_to_time_type(real(x, r8_kind), err_msg)
end function
 
!> @brief Convert a floating point value to an integer value.
!! @return The integer value, using the input rounding mode.
function safe_rtoi(rval,mode) result(ival)
  real(r8_kind),intent(in) :: rval !< A floating point value.
  integer,intent(in) :: mode !< A rouding mode (either "do_floor" or
                             !! "do_nearest")
  integer :: ival
  real(r8_kind) :: big
  big = real(huge(ival), r8_kind)
  if (rval .le. big .and. -1.0_r8_kind*rval .ge. -1.0_r8_kind*big) then
    if (mode .eq. do_floor) then
      ival = floor(rval)
    elseif (mode .eq. do_nearest) then
      ival = nint(rval)
    else
      call error_mesg("safe_rtoi","mode must be either do_floor" &
                      //" or do_nearest.",fatal)
    endif
  else
    call error_mesg("safe_rtoi","input value cannot be safely" &
                   //" converted to a 32-bit integer.",fatal)
  endif
end function safe_rtoi
 
!-------------------------------------------------------------------------
 
!> Returns the largest time, t, for which n * t <= time.
function time_scalar_divide(time, n)
type(time_type) :: time_scalar_divide
type(time_type), intent(in) :: time !< time interval to divide
integer, intent(in) :: n !< divisor
real(r8_kind) :: 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  = real(seconds_per_day, r8_kind)
dticks_per_second = real(ticks_per_second, r8_kind)
d = real(time%days,r8_kind)*dseconds_per_day*dticks_per_second + real(time%seconds, r8_kind)*dticks_per_second + &
    real(time%ticks, r8_kind)
div = d/real(n, r8_kind)
 
days = int(div/(dseconds_per_day*dticks_per_second))
seconds = int(div/dticks_per_second - real(days, r8_kind)*dseconds_per_day)
ticks = int(div - (real(days, r8_kind)*dseconds_per_day + real(seconds, r8_kind))*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
 
!> 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
!!
!! 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
function interval_alarm(time, time_interval, alarm, alarm_interval)
logical :: interval_alarm
type(time_type), intent(in) :: time !< current time
type(time_type), intent(in) :: time_interval !< a time interval
type(time_type), intent(in) :: alarm_interval !< a time interval
type(time_type), intent(inout) :: alarm !< An alarm time, which is incremented by the alarm_interval if
                               !! the function is true.
 
if((alarm - time) <= (time_interval / 2)) then
   interval_alarm = .true.
   alarm = alarm + alarm_interval
else
   interval_alarm = .false.
end if
 
end function interval_alarm
 
!--------------------------------------------------------------------------
 
!> 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.
function repeat_alarm(time, alarm_frequency, alarm_length)
logical :: repeat_alarm
type(time_type), intent(in) :: time !< current time
type(time_type), intent(in) :: alarm_frequency !< a time interval for time in between alarm activations
type(time_type), intent(in) :: alarm_length !< a time interval for amount of time alarm is active for
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
 
!--------------------------------------------------------------------------
 
!=========================================================================
! 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>
 
!> @brief Sets calendar_type for mapping an interval to a date.
!! For the Gregorian calendar, negative years and the proleptic calendar are not used;
!! and the discontinuity of days in October 1582 (when the Gregorian calendar was adopted by select groups in Europe)
!! is also not taken into account.
subroutine set_calendar_type(type, err_msg)
 
! Selects calendar for default mapping from time to date.
 
integer, intent(in) :: type !< constant parameter value (ie. one NO_CALENDAR, )
character(len=*), intent(out), optional :: err_msg
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
 
end subroutine set_calendar_type
 
!------------------------------------------------------------------------
 
!> Returns default calendar type for mapping from time to date.
function get_calendar_type()
 
integer :: get_calendar_type
 
get_calendar_type = calendar_type
 
end function get_calendar_type
 
!------------------------------------------------------------------------
 
!> Sets the number of ticks per second.
subroutine set_ticks_per_second(tps)
integer, intent(in) :: tps
 
ticks_per_second = tps
 
end subroutine set_ticks_per_second
 
!------------------------------------------------------------------------
 
!> Returns the number of ticks per second.
function get_ticks_per_second()
integer :: get_ticks_per_second
 
get_ticks_per_second = ticks_per_second
 
end function get_ticks_per_second
 
!------------------------------------------------------------------------
 
 !> @brief Gets the date for different calendar types.
 !! Given a time_interval, returns the corresponding date under
 !! the selected calendar.
 !! When err_msg 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: <br>
 !!
 !!         if(err_msg /= '') call error_mesg('my_routine','additional info: '//trim(err_msg),FATAL)
 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
 
!------------------------------------------------------------------------
 
!> @brief Gets the date on a Gregorian calendar.
!! Computes the year, month, day on the fly from the quantity time%days
 subroutine get_date_gregorian(time, year, month, day, hour, minute, second, tick)
 
 type(time_type), intent(in) :: time
 integer, intent(out) :: year, month, day, hour, minute, second
 integer, intent(out) :: tick
 integer :: iday, isec
 
 integer :: l                          !< value of 1 if leap year; value of 0 otherwise
 integer :: ncenturies                 !< number of centuries passed in the current 400 year period
 integer :: nlpyrs                     !< number of leap years in the current century
 integer :: yearx, monthx, dayx, idayx !< temporary values for year, month, day
 integer :: i                          !< counter, dummy variable
 
 ! Computes date corresponding to time for gregorian calendar
 
 !Carried over from the old subroutine
 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)
 
 yearx = 1
 idayx = 0
 if( iday.eq.0 ) then !year 400
   yearx = 0
   idayx = -366
 else if( iday.gt.365 ) then
   yearx      = int(iday/365) - 1 !approximation off by -1 year at most
   ncenturies = int(yearx/100)
   nlpyrs     = int((yearx-ncenturies*100)/4)
   idayx      = ncenturies*36524 + (yearx-ncenturies*100)*365 + nlpyrs !36524 days in a century
   if( ncenturies.eq.4 ) idayx = idayx + 1                             !year 400 is a leap year
   l = 0 ; if ( leap_year_gregorian_int(yearx+1) ) l = 1
   if ( (iday-idayx).gt.365+l ) then !off by -1 year
     yearx = yearx + 1
     idayx = idayx + 365 + l
   end if
   yearx = yearx + 1
 end if
 
 year = 400*int((time%days+1)/days_in_400_year_period) + yearx
 
 l = 0 ; if( leap_year_gregorian_int(year) ) l = 1
 dayx = iday - idayx
 if( dayx.le.31 ) then
   month = 1
   day   = dayx
 else
   monthx = int(dayx/30)
   if( l.eq.1 ) then
     do i=1, monthx
       dayx = dayx - days_per_month(i)
       if(i.eq.2) dayx = dayx - l
     end do
   else
     do i=1, monthx
       dayx = dayx - days_per_month(i)
     end do
   end if
   month = monthx + 1
   day   = dayx
   if( dayx.le.0 ) then
     month = monthx
     day = dayx + days_per_month(monthx)
     if(monthx.eq.2) day = day + l
   end if
 end if
 
 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
!------------------------------------------------------------------------
 
!> Base date for Julian calendar is year 1 with all multiples of 4
!! years being leap years.
 subroutine get_date_julian_private(time, year, month, day, hour, minute, second, tick)
 
 
 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
 
!------------------------------------------------------------------------
 
 !> Computes date corresponding to time interval for 30 day months, 12
 !! month years.
 subroutine get_date_thirty(time, year, month, day, hour, minute, second, tick)
 
 
 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
!------------------------------------------------------------------------
 
 !> @brief Sets days for different calendar types.
 !! Given an input date in year, month, days, etc., creates a
 !! time_type that represents this time interval from the
 !! internally defined base date.
 !!
 !! @note that it is possible to specify
 !! any number of illegal dates; these are checked for and generate
 !! errors as appropriate.
 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.
 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 !< error message, if non-empty an error has occured
 
 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
 
!------------------------------------------------------------------------
 
 !> @brief Calls set_date_private to set days for different calendar types.
 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
 end if
 
 end function set_date_i
!------------------------------------------------------------------------
 
 !> @brief Calls set_date_private for different calendar types when given a string input.
 !! 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
 function set_date_c(string, zero_year_warning, err_msg, allow_rounding)
 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
 end if
 
 end function set_date_c
 
!------------------------------------------------------------------------
 
!> @brief Sets Time_out%days on a Gregorian calendar
!! Computes the total number of days between 1/1/0001 to the current month/day/year
 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 :: yearx, monthx, dayx, hrx, minx, secx, tickx, ncenturies, nlpyrs, l
 
 if( .not.valid_increments(year,month,day,hour,minute,second,tick,err_msg) ) then
   set_date_gregorian = .false.
   return
 endif
 
 l = 0 ; if( leap_year_gregorian_int(year) ) l = 1
 
 ! Check if date is invalid
 if(month.eq.2) then
   if(day.gt.days_per_month(month)+l .or. day.lt.1) then
     err_msg = 'Invalid_date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
     set_date_gregorian = .false.
     return
   end if
 else
   if(day.gt.days_per_month(month) .or. day.lt.1) then
     err_msg = 'Invalid_date. Date='//convert_integer_date_to_char(year,month,day,hour,minute,second)
     set_date_gregorian = .false.
     return
   end if
 end if
 
 time_out%seconds = second + 60*(minute + 60*hour)
 
 yearx = mod(year-1,400)
 dayx  = 0
 if(yearx.gt.0) then
   ncenturies = int( yearx/100 )
   nlpyrs     = int( (yearx-ncenturies*100)/4 )
   dayx       = ncenturies*36524 + (yearx-ncenturies*100)*365 + nlpyrs ! 36524 days in 100 years, year 100 not
                                                                       !! leap year
   if(ncenturies.eq.4) dayx = dayx + 1 ! year 400 is a leap year
 end if
 
 select case( month )
 case(1)  ; dayx = dayx
 case(2)  ; dayx = dayx +  31
 case(3)  ; dayx = dayx +  59 + l
 case(4)  ; dayx = dayx +  90 + l
 case(5)  ; dayx = dayx + 120 + l
 case(6)  ; dayx = dayx + 151 + l
 case(7)  ; dayx = dayx + 181 + l
 case(8)  ; dayx = dayx + 212 + l
 case(9)  ; dayx = dayx + 243 + l
 case(10) ; dayx = dayx + 273 + l
 case(11) ; dayx = dayx + 304 + l
 case(12) ; dayx = dayx + 334 + l
 end select
 
 dayx = int((year-1)/400)*days_in_400_year_period + dayx + day - 1
 time_out%days  = dayx
 time_out%ticks = tick
 
 err_msg = ''
 set_date_gregorian = .true.
 
 ! check
 yearx = year ; monthx = month ; dayx = day
 hrx = hour ; minx = minute ; secx = second ; tickx = tick
 call get_date_gregorian(time_out, yearx, monthx, dayx, hrx, minx, secx, tickx)
 l = 0 ; if( leap_year_gregorian_int(yearx) ) l = 1
 if( monthx.lt.1 .or. monthx.gt.12 ) then
   err_msg = 'Invalid_date. Date='//convert_integer_date_to_char(yearx,monthx,dayx,hour,minute,second)
   set_date_gregorian = .false.
 else if( dayx.lt.1 .or. dayx.gt.days_per_month(monthx) ) then
   if( monthx.eq.2 .and. dayx.le.days_per_month(monthx)+l ) return
   err_msg = 'Invalid_date. Date='//convert_integer_date_to_char(yearx,monthx,dayx,hour,minute,second)
   set_date_gregorian = .false.
 end if
 
 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
 
!=======================================================================
 
 !> 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.
 function increment_date_private(Time, years, months, days, hours, minutes, seconds, ticks, Time_out, err_msg)
 
 
 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(real(cmonth-1,r8_kind)/12.0_r8_kind)
   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
 
!=========================================================================
 
 !> 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).
 !!
 !! @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.
 function decrement_date(Time, years, months, days, hours, minutes, seconds, ticks, err_msg, allow_neg_inc)
 
 type(time_type) :: decrement_date !< Time after the given decrement is applied
 type(time_type), intent(in) :: time !< time interval to decrement
 integer, intent(in), optional :: seconds, minutes, hours, days, months, years, ticks !< amount of time to decrement by
                                                     !! units should not exceed next largest unit (ie. 61 seconds
                                                     !! should be 1 min 1 sec )
 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
 
!--------------------------------------------------------------------------
 
!> Given a time, computes the corresponding date given the selected
!! date time mapping algorithm
function days_in_month(Time, err_msg)
integer :: days_in_month !< number of days in month given the current selected calendar type
type(time_type), intent(in) :: time !< a time interval
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
 
!--------------------------------------------------------------------------
 
!> Returns the number of days in a gregorian month.
function days_in_month_gregorian(Time)
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
 
!--------------------------------------------------------------------------
 
!> Returns the number of days in a julian month.
function days_in_month_julian(Time)
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
 
!--------------------------------------------------------------------------
 
!> Returns the number of days in a thirty day month (needed for transparent
!! changes to calendar type).
function days_in_month_thirty(Time)
integer :: days_in_month_thirty
type(time_type), intent(in) :: time
 
days_in_month_thirty = 30
 
end function days_in_month_thirty
 
!--------------------------------------------------------------------------
 
!> Returns the number of days in a 365 day year month.
function days_in_month_no_leap(Time)
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
 
!> Returns true if the year corresponding to the input time is
!! a leap year (for default calendar). Always returns false for THIRTY_DAY_MONTHS and NOLEAP.
function leap_year(Time, err_msg)
logical :: leap_year
type(time_type), intent(in) :: time !< a time interval to check if leap year
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 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
 
!--------------------------------------------------------------------------
 
!> Returns the number of days in a julian month.
function leap_year_julian(Time)
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
 
!--------------------------------------------------------------------------
 
!> No leap years in thirty day months, included for transparency.
function leap_year_thirty(Time)
logical :: leap_year_thirty
type(time_type), intent(in) :: time
 
leap_year_thirty = .false.
 
end function leap_year_thirty
 
!--------------------------------------------------------------------------
 
!> Another tough one; no leap year returns false for leap year inquiry.
function leap_year_no_leap(Time)
logical :: leap_year_no_leap
type(time_type), intent(in) :: time
 
leap_year_no_leap = .false.
 
end function leap_year_no_leap
 
!> @brief Returns the mean length of the year in the default calendar setting.
!!
!> There are no arguments in this function. It returns the mean
!! length of the year for the default calendar.
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 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
 
length_of_year_gregorian = set_time(20952, 365) !20952 = 86500 * (days_in_400_yrs/400. - (days_in_400_yrs/400))
 
end function length_of_year_gregorian
 
!--------------------------------------------------------------------------
 
function length_of_year_julian()
 
type(time_type) :: length_of_year_julian
 
length_of_year_julian = set_time(21600, 365) !21600 = (24/4) * 60 * 60
 
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
 
!--------------------------------------------------------------------------
 
!> Returns number of day in year for given time. 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
 
!> @brief Returns the number of days in the calendar year corresponding to the date represented by
!! time for the default calendar.
!> @returns The number of days in this year for the default calendar type.
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 !< A time interval
 
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 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
 
!--------------------------------------------------------------------------
 
!> @brief Returns a character string containing the name of the
!! month corresponding to month number n.
!!
!> Definition is the same for all calendar types.
!! @returns The character string associated with a month. All calendars have 12 months and return
!! full month names, not abreviations.
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 !< Month number
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
 
!==========================================================================
 
!> 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.
 function error_handler(routine, err_msg_local, err_msg)
 
 
 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
 
!------------------------------------------------------------------------
 
!> Initialization routine. Writes the version information to the log file
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
 
!------------------------------------------------------------------------
 
!> @brief Prints the given time_type argument as a time (using days, seconds and ticks)
!!
!> @note There is no check for PE number.
subroutine print_time (Time,str,unit)
type(time_type)  , intent(in) :: time !< Time that will be printed
character (len=*), intent(in), optional :: str !< Character string that precedes the printed time
integer          , intent(in), optional :: unit !< Unit number for printed output, defaults to stdout
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
 
!> @brief Prints the time to standard output (or optional unit) as a date.
!!
!! 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.
subroutine print_date (Time,str,unit)
type(time_type)  , intent(in) :: time !< Time that will be printed
character (len=*), intent(in), optional :: str !< Character string that precedes the printed time
integer          , intent(in), optional :: unit !< Unit number for printed output, defaults to stdout
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
 
!------------------------------------------------------------------------
 
!> @brief Returns a character string that describes the
!! calendar type corresponding to the input integer.
!!
!> @returns A character string describing the calendar type
function valid_calendar_types(ncal, err_msg)
integer, intent(in) :: ncal !< Integer corresponding to a valid calendar type
character(len=*), intent(out), optional :: err_msg !< Holds an error message when present
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 = '360_DAY                 '
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
 
!------------------------------------------------------------------------
 
!> 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 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