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NAME

       calendar - Local and universal time, day of the week, date and time
           conversions.

DESCRIPTION

       This  module  provides computation of local and universal time, day of the week, and many time conversion
       functions.

       Time is local when it is adjusted in accordance with the current time zone and daylight saving.  Time  is
       universal  when  it  reflects  the  time  at  longitude zero, without any adjustment for daylight saving.
       Universal Coordinated Time (UTC) time is also called Greenwich Mean Time (GMT).

       The time functions local_time/0 and universal_time/0 in this module both return date  and  time.  The  is
       because  separate  functions for date and time can result in a date/time combination that is displaced by
       24 hours. This occurs if one of the functions is called before midnight, and the  other  after  midnight.
       This  problem also applies to the Erlang BIFs date/0 and time/0, and their use is strongly discouraged if
       a reliable date/time stamp is required.

       All dates conform to the Gregorian calendar. This calendar was introduced by Pope Gregory  XIII  in  1582
       and  was  used  in all Catholic countries from this year. Protestant parts of Germany and the Netherlands
       adopted it in 1698, England followed in 1752, and Russia in 1918 (the October  revolution  of  1917  took
       place in November according to the Gregorian calendar).

       The Gregorian calendar in this module is extended back to year 0. For a given date, the gregorian days is
       the number of days up to and including the  date  specified.  Similarly,  the  gregorian  seconds  for  a
       specified date and time is the number of seconds up to and including the specified date and time.

       For  computing  differences between epochs in time, use the functions counting gregorian days or seconds.
       If epochs are specified as local time, they must be converted to universal time to get the correct  value
       of the elapsed time between epochs. Use of function time_difference/2 is discouraged.

       Different  definitions  exist  for  the  week  of  the  year.  This  module  contains  a week of the year
       implementation conforming to the ISO 8601 standard. As the week number for a specified date can  fall  on
       the  previous,  the  current,  or on the next year, it is important to specify both the year and the week
       number. Functions iso_week_number/0 and iso_week_number/1 return a tuple of the year and the week number.

DATA TYPES

       datetime() = {date(), time()}

       datetime1970() = {{year1970(), month(), day()}, time()}

       date() = {year(), month(), day()}

       year() = integer() >= 0

              Year cannot be abbreviated. For example, 93 denotes year 93, not 1993. The valid range depends  on
              the underlying operating system. The date tuple must denote a valid date.

       year1970() = 1970..10000

       month() = 1..12

       day() = 1..31

       time() = {hour(), minute(), second()}

       hour() = 0..23

       minute() = 0..59

       second() = 0..59

       daynum() = 1..7

       ldom() = 28 | 29 | 30 | 31

       yearweeknum() = {year(), weeknum()}

       weeknum() = 1..53

EXPORTS

       date_to_gregorian_days(Date) -> Days

       date_to_gregorian_days(Year, Month, Day) -> Days

              Types:

                 Date = date()
                 Year = year()
                 Month = month()
                 Day = day()

              Computes the number of gregorian days starting with year 0 and ending at the specified date.

       datetime_to_gregorian_seconds(DateTime) -> Seconds

              Types:

                 DateTime = datetime()
                 Seconds = integer() >= 0

              Computes the number of gregorian seconds starting with year 0 and ending at the specified date and
              time.

       day_of_the_week(Date) -> daynum()

       day_of_the_week(Year, Month, Day) -> daynum()

              Types:

                 Date = date()
                 Year = year()
                 Month = month()
                 Day = day()

              Computes the day of the week from the specified Year, Month, and Day. Returns the day of the  week
              as 1: Monday, 2: Tuesday, and so on.

       gregorian_days_to_date(Days) -> date()

              Types:

                 Days = integer() >= 0

              Computes the date from the specified number of gregorian days.

       gregorian_seconds_to_datetime(Seconds) -> datetime()

              Types:

                 Seconds = integer() >= 0

              Computes the date and time from the specified number of gregorian seconds.

       is_leap_year(Year) -> boolean()

              Types:

                 Year = year()

              Checks if the specified year is a leap year.

       iso_week_number() -> yearweeknum()

              Returns  tuple  {Year, WeekNum} representing the ISO week number for the actual date. To determine
              the actual date, use function local_time/0.

       iso_week_number(Date) -> yearweeknum()

              Types:

                 Date = date()

              Returns tuple {Year, WeekNum} representing the ISO week number for the specified date.

       last_day_of_the_month(Year, Month) -> LastDay

              Types:

                 Year = year()
                 Month = month()
                 LastDay = ldom()

              Computes the number of days in a month.

       local_time() -> datetime()

              Returns the local time reported by the underlying operating system.

       local_time_to_universal_time(DateTime1) -> DateTime2

              Types:

                 DateTime1 = DateTime2 = datetime1970()

              Converts from local time to Universal Coordinated Time (UTC). DateTime1 must refer to a local date
              after Jan 1, 1970.

          Warning:
              This  function  is  deprecated. Use local_time_to_universal_time_dst/1 instead, as it gives a more
              correct and complete result. Especially for the period that does  not  exist,  as  it  is  skipped
              during the switch to daylight saving time, this function still returns a result.

       local_time_to_universal_time_dst(DateTime1) -> [DateTime]

              Types:

                 DateTime1 = DateTime = datetime1970()

              Converts from local time to Universal Coordinated Time (UTC). DateTime1 must refer to a local date
              after Jan 1, 1970.

              The return value is a list of 0, 1, or 2 possible UTC times:

                []:
                  For a local {Date1, Time1} during the period that is skipped when switching to daylight saving
                  time, there is no corresponding UTC, as the local time is illegal (it has never occured).

                [DstDateTimeUTC, DateTimeUTC]:
                  For  a  local  {Date1,  Time1} during the period that is repeated when switching from daylight
                  saving time, two corresponding UTCs exist; one for the  first  instance  of  the  period  when
                  daylight saving time is still active, and one for the second instance.

                [DateTimeUTC]:
                  For all other local times only one corresponding UTC exists.

       now_to_datetime(Now) -> datetime1970()

              Types:

                 Now = erlang:timestamp()

              Returns Universal Coordinated Time (UTC) converted from the return value from erlang:timestamp/0.

       now_to_local_time(Now) -> datetime1970()

              Types:

                 Now = erlang:timestamp()

              Returns local date and time converted from the return value from erlang:timestamp/0.

       now_to_universal_time(Now) -> datetime1970()

              Types:

                 Now = erlang:timestamp()

              Returns Universal Coordinated Time (UTC) converted from the return value from erlang:timestamp/0.

       seconds_to_daystime(Seconds) -> {Days, Time}

              Types:

                 Seconds = Days = integer()
                 Time = time()

              Converts a specified number of seconds into days, hours, minutes, and seconds. Time is always non-
              negative, but Days is negative if argument Seconds is.

       seconds_to_time(Seconds) -> time()

              Types:

                 Seconds = secs_per_day()
                 secs_per_day() = 0..86400

              Computes the time from the specified number of seconds. Seconds must be less than  the  number  of
              seconds per day (86400).

       time_difference(T1, T2) -> {Days, Time}

              Types:

                 T1 = T2 = datetime()
                 Days = integer()
                 Time = time()

              Returns the difference between two {Date, Time} tuples. T2 is to refer to an epoch later than T1.

          Warning:
              This function is obsolete. Use the conversion functions for gregorian days and seconds instead.

       time_to_seconds(Time) -> secs_per_day()

              Types:

                 Time = time()
                 secs_per_day() = 0..86400

              Returns the number of seconds since midnight up to the specified time.

       universal_time() -> datetime()

              Returns  the Universal Coordinated Time (UTC) reported by the underlying operating system. Returns
              local time if universal time is unavailable.

       universal_time_to_local_time(DateTime) -> datetime()

              Types:

                 DateTime = datetime1970()

              Converts from Universal Coordinated Time (UTC) to local time. DateTime must refer to a date  after
              Jan 1, 1970.

       valid_date(Date) -> boolean()

       valid_date(Year, Month, Day) -> boolean()

              Types:

                 Date = date()
                 Year = Month = Day = integer()

              This function checks if a date is a valid.

LEAP YEARS

       The  notion that every fourth year is a leap year is not completely true. By the Gregorian rule, a year Y
       is a leap year if one of the following rules is valid:

         * Y is divisible by 4, but not by 100.

         * Y is divisible by 400.

       Hence, 1996 is a leap year, 1900 is not, but 2000 is.

DATE AND TIME SOURCE

       Local time is obtained from the  Erlang  BIF  localtime/0.  Universal  time  is  computed  from  the  BIF
       universaltime/0.

       The following fapply:

         * There are 86400 seconds in a day.

         * There are 365 days in an ordinary year.

         * There are 366 days in a leap year.

         * There are 1461 days in a 4 year period.

         * There are 36524 days in a 100 year period.

         * There are 146097 days in a 400 year period.

         * There are 719528 days between Jan 1, 0 and Jan 1, 1970.