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# Time is an abstraction of dates and times. Time is stored internally as the
# number of seconds with fraction since the *Epoch*, January 1, 1970 00:00 UTC.
# Also see the library module Date. The Time class treats GMT (Greenwich Mean
# Time) and UTC (Coordinated Universal Time) as equivalent. GMT is the older way
# of referring to these baseline times but persists in the names of calls on
# POSIX systems.
#
# All times may have fraction. Be aware of this fact when comparing times with
# each other -- times that are apparently equal when displayed may be different
# when compared.
#
# Since Ruby 1.9.2, Time implementation uses a signed 63 bit integer, Bignum or
# Rational. The integer is a number of nanoseconds since the *Epoch* which can
# represent 1823-11-12 to 2116-02-20. When Bignum or Rational is used (before
# 1823, after 2116, under nanosecond), Time works slower as when integer is
# used.
#
# # Examples
#
# All of these examples were done using the EST timezone which is GMT-5.
#
# ## Creating a new Time instance
#
# You can create a new instance of Time with Time::new. This will use the
# current system time. Time::now is an alias for this. You can also pass parts
# of the time to Time::new such as year, month, minute, etc. When you want to
# construct a time this way you must pass at least a year. If you pass the year
# with nothing else time will default to January 1 of that year at 00:00:00 with
# the current system timezone. Here are some examples:
#
#     Time.new(2002)         #=> 2002-01-01 00:00:00 -0500
#     Time.new(2002, 10)     #=> 2002-10-01 00:00:00 -0500
#     Time.new(2002, 10, 31) #=> 2002-10-31 00:00:00 -0500
#
# You can pass a UTC offset:
#
#     Time.new(2002, 10, 31, 2, 2, 2, "+02:00") #=> 2002-10-31 02:02:02 +0200
#
# Or a timezone object:
#
#     tz = timezone("Europe/Athens") # Eastern European Time, UTC+2
#     Time.new(2002, 10, 31, 2, 2, 2, tz) #=> 2002-10-31 02:02:02 +0200
#
# You can also use Time::gm, Time::local and Time::utc to infer GMT, local and
# UTC timezones instead of using the current system setting.
#
# You can also create a new time using Time::at which takes the number of
# seconds (or fraction of seconds) since the [Unix
# Epoch](http://en.wikipedia.org/wiki/Unix_time).
#
#     Time.at(628232400) #=> 1989-11-28 00:00:00 -0500
#
# ## Working with an instance of Time
#
# Once you have an instance of Time there is a multitude of things you can do
# with it. Below are some examples. For all of the following examples, we will
# work on the assumption that you have done the following:
#
#     t = Time.new(1993, 02, 24, 12, 0, 0, "+09:00")
#
# Was that a monday?
#
#     t.monday? #=> false
#
# What year was that again?
#
#     t.year #=> 1993
#
# Was it daylight savings at the time?
#
#     t.dst? #=> false
#
# What's the day a year later?
#
#     t + (60*60*24*365) #=> 1994-02-24 12:00:00 +0900
#
# How many seconds was that since the Unix Epoch?
#
#     t.to_i #=> 730522800
#
# You can also do standard functions like compare two times.
#
#     t1 = Time.new(2010)
#     t2 = Time.new(2011)
#
#     t1 == t2 #=> false
#     t1 == t1 #=> true
#     t1 <  t2 #=> true
#     t1 >  t2 #=> false
#
#     Time.new(2010,10,31).between?(t1, t2) #=> true
#
# ## Timezone argument
#
# A timezone argument must have `local_to_utc` and `utc_to_local` methods, and
# may have `name`, `abbr`, and `dst?` methods.
#
# The `local_to_utc` method should convert a Time-like object from the timezone
# to UTC, and `utc_to_local` is the opposite.  The result also should be a Time
# or Time-like object (not necessary to be the same class).  The #zone of the
# result is just ignored. Time-like argument to these methods is similar to a
# Time object in UTC without sub-second; it has attribute readers for the parts,
# e.g. #year, #month, and so on, and epoch time readers, #to_i.  The sub-second
# attributes are fixed as 0, and #utc_offset, #zone, #isdst, and their aliases
# are same as a Time object in UTC. Also #to_time, #+, and #- methods are
# defined.
#
# The `name` method is used for marshaling. If this method is not defined on a
# timezone object, Time objects using that timezone object can not be dumped by
# Marshal.
#
# The `abbr` method is used by '%Z' in #strftime.
#
# The `dst?` method is called with a `Time` value and should return whether the
# `Time` value is in daylight savings time in the zone.
#
# ### Auto conversion to Timezone
#
# At loading marshaled data, a timezone name will be converted to a timezone
# object by `find_timezone` class method, if the method is defined.
#
# Similarly, that class method will be called when a timezone argument does not
# have the necessary methods mentioned above.
#
class Time < Object
  include Comparable

  # Creates a new Time object with the value given by `time`, the given number of
  # `seconds_with_frac`, or `seconds` and `microseconds_with_frac` since the
  # Epoch. `seconds_with_frac` and `microseconds_with_frac` can be an Integer,
  # Float, Rational, or other Numeric. non-portable feature allows the offset to
  # be negative on some systems.
  #
  # If `in` argument is given, the result is in that timezone or UTC offset, or if
  # a numeric argument is given, the result is in local time.
  #
  #     Time.at(0)                                #=> 1969-12-31 18:00:00 -0600
  #     Time.at(Time.at(0))                       #=> 1969-12-31 18:00:00 -0600
  #     Time.at(946702800)                        #=> 1999-12-31 23:00:00 -0600
  #     Time.at(-284061600)                       #=> 1960-12-31 00:00:00 -0600
  #     Time.at(946684800.2).usec                 #=> 200000
  #     Time.at(946684800, 123456.789).nsec       #=> 123456789
  #     Time.at(946684800, 123456789, :nsec).nsec #=> 123456789
  #
  def self.at: (Time | Numeric seconds) -> Time
             | (Numeric seconds, ?Numeric microseconds_with_frac) -> Time

  # Creates a Time object based on given values, interpreted as UTC (GMT). The
  # year must be specified. Other values default to the minimum value for that
  # field (and may be `nil` or omitted). Months may be specified by numbers from 1
  # to 12, or by the three-letter English month names. Hours are specified on a
  # 24-hour clock (0..23). Raises an ArgumentError if any values are out of range.
  # Will also accept ten arguments in the order output by Time#to_a.
  #
  # `sec_with_frac` and `usec_with_frac` can have a fractional part.
  #
  #     Time.utc(2000,"jan",1,20,15,1)  #=> 2000-01-01 20:15:01 UTC
  #     Time.gm(2000,"jan",1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #
  def self.gm: (Integer year, ?Integer | String month, ?Integer day, ?Integer hour, ?Integer min, ?Numeric sec, ?Numeric usec_with_frac) -> Time

  # Same as Time::gm, but interprets the values in the local time zone.
  #
  #     Time.local(2000,"jan",1,20,15,1)   #=> 2000-01-01 20:15:01 -0600
  #
  def self.local: (Integer year, ?Integer | String month, ?Integer day, ?Integer hour, ?Integer min, ?Numeric sec, ?Numeric usec_with_frac) -> Time

  # Creates a new Time object for the current time. This is same as Time.new
  # without arguments.
  #
  #     Time.now            #=> 2009-06-24 12:39:54 +0900
  #
  def self.now: () -> Time

  # Creates a Time object based on given values, interpreted as UTC (GMT). The
  # year must be specified. Other values default to the minimum value for that
  # field (and may be `nil` or omitted). Months may be specified by numbers from 1
  # to 12, or by the three-letter English month names. Hours are specified on a
  # 24-hour clock (0..23). Raises an ArgumentError if any values are out of range.
  # Will also accept ten arguments in the order output by Time#to_a.
  #
  # `sec_with_frac` and `usec_with_frac` can have a fractional part.
  #
  #     Time.utc(2000,"jan",1,20,15,1)  #=> 2000-01-01 20:15:01 UTC
  #     Time.gm(2000,"jan",1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #
  def self.utc: (Integer year, ?Integer | String month, ?Integer day, ?Integer hour, ?Integer min, ?Numeric sec, ?Numeric usec_with_frac) -> Time

  # Addition --- Adds some number of seconds (possibly fractional) to *time* and
  # returns that value as a new Time object.
  #
  #     t = Time.now         #=> 2007-11-19 08:22:21 -0600
  #     t + (60 * 60 * 24)   #=> 2007-11-20 08:22:21 -0600
  #
  def +: (Numeric arg0) -> Time

  # Difference --- Returns a difference in seconds as a Float between *time* and
  # `other_time`, or subtracts the given number of seconds in `numeric` from
  # *time*.
  #
  #     t = Time.now       #=> 2007-11-19 08:23:10 -0600
  #     t2 = t + 2592000   #=> 2007-12-19 08:23:10 -0600
  #     t2 - t             #=> 2592000.0
  #     t2 - 2592000       #=> 2007-11-19 08:23:10 -0600
  #
  def -: (Time arg0) -> Float
       | (Numeric arg0) -> Time

  def <: (Time arg0) -> bool

  def <=: (Time arg0) -> bool

  # Comparison---Compares `time` with `other_time`.
  #
  # -1, 0, +1 or nil depending on whether `time` is less  than, equal to, or
  # greater than `other_time`.
  #
  # `nil` is returned if the two values are incomparable.
  #
  #     t = Time.now       #=> 2007-11-19 08:12:12 -0600
  #     t2 = t + 2592000   #=> 2007-12-19 08:12:12 -0600
  #     t <=> t2           #=> -1
  #     t2 <=> t           #=> 1
  #
  #     t = Time.now       #=> 2007-11-19 08:13:38 -0600
  #     t2 = t + 0.1       #=> 2007-11-19 08:13:38 -0600
  #     t.nsec             #=> 98222999
  #     t2.nsec            #=> 198222999
  #     t <=> t2           #=> -1
  #     t2 <=> t           #=> 1
  #     t <=> t            #=> 0
  #
  def <=>: (Time other) -> Integer?

  def >: (Time arg0) -> bool

  def >=: (Time arg0) -> bool

  # Returns a canonical string representation of *time*.
  #
  #     Time.now.asctime   #=> "Wed Apr  9 08:56:03 2003"
  #     Time.now.ctime     #=> "Wed Apr  9 08:56:03 2003"
  #
  def asctime: () -> String

  # Returns a canonical string representation of *time*.
  #
  #     Time.now.asctime   #=> "Wed Apr  9 08:56:03 2003"
  #     Time.now.ctime     #=> "Wed Apr  9 08:56:03 2003"
  #
  def ctime: () -> String

  # Returns the day of the month (1..n) for *time*.
  #
  #     t = Time.now   #=> 2007-11-19 08:27:03 -0600
  #     t.day          #=> 19
  #     t.mday         #=> 19
  #
  def day: () -> Integer

  # Returns `true` if *time* occurs during Daylight Saving Time in its time zone.
  #
  #     # CST6CDT:
  #       Time.local(2000, 1, 1).zone    #=> "CST"
  #       Time.local(2000, 1, 1).isdst   #=> false
  #       Time.local(2000, 1, 1).dst?    #=> false
  #       Time.local(2000, 7, 1).zone    #=> "CDT"
  #       Time.local(2000, 7, 1).isdst   #=> true
  #       Time.local(2000, 7, 1).dst?    #=> true
  #
  #     # Asia/Tokyo:
  #       Time.local(2000, 1, 1).zone    #=> "JST"
  #       Time.local(2000, 1, 1).isdst   #=> false
  #       Time.local(2000, 1, 1).dst?    #=> false
  #       Time.local(2000, 7, 1).zone    #=> "JST"
  #       Time.local(2000, 7, 1).isdst   #=> false
  #       Time.local(2000, 7, 1).dst?    #=> false
  #
  def dst?: () -> bool

  # Returns `true` if *time* and `other_time` are both Time objects with the same
  # seconds and fractional seconds.
  #
  def eql?: (untyped arg0) -> bool

  # Returns `true` if *time* represents Friday.
  #
  #     t = Time.local(1987, 12, 18)     #=> 1987-12-18 00:00:00 -0600
  #     t.friday?                        #=> true
  #
  def friday?: () -> bool

  # Returns a new Time object representing *time* in UTC.
  #
  #     t = Time.local(2000,1,1,20,15,1)   #=> 2000-01-01 20:15:01 -0600
  #     t.gmt?                             #=> false
  #     y = t.getgm                        #=> 2000-01-02 02:15:01 UTC
  #     y.gmt?                             #=> true
  #     t == y                             #=> true
  #
  def getgm: () -> Time

  # Returns a new Time object representing *time* in local time (using the local
  # time zone in effect for this process).
  #
  # If `utc_offset` is given, it is used instead of the local time. `utc_offset`
  # can be given as a human-readable string (eg. `"+09:00"`) or as a number of
  # seconds (eg. `32400`).
  #
  #     t = Time.utc(2000,1,1,20,15,1)  #=> 2000-01-01 20:15:01 UTC
  #     t.utc?                          #=> true
  #
  #     l = t.getlocal                  #=> 2000-01-01 14:15:01 -0600
  #     l.utc?                          #=> false
  #     t == l                          #=> true
  #
  #     j = t.getlocal("+09:00")        #=> 2000-01-02 05:15:01 +0900
  #     j.utc?                          #=> false
  #     t == j                          #=> true
  #
  #     k = t.getlocal(9*60*60)         #=> 2000-01-02 05:15:01 +0900
  #     k.utc?                          #=> false
  #     t == k                          #=> true
  #
  def getlocal: (?Integer utc_offset) -> Time

  # Returns a new Time object representing *time* in UTC.
  #
  #     t = Time.local(2000,1,1,20,15,1)   #=> 2000-01-01 20:15:01 -0600
  #     t.gmt?                             #=> false
  #     y = t.getgm                        #=> 2000-01-02 02:15:01 UTC
  #     y.gmt?                             #=> true
  #     t == y                             #=> true
  #
  def getutc: () -> Time

  # Returns `true` if *time* represents a time in UTC (GMT).
  #
  #     t = Time.now                        #=> 2007-11-19 08:15:23 -0600
  #     t.utc?                              #=> false
  #     t = Time.gm(2000,"jan",1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #     t.utc?                              #=> true
  #
  #     t = Time.now                        #=> 2007-11-19 08:16:03 -0600
  #     t.gmt?                              #=> false
  #     t = Time.gm(2000,1,1,20,15,1)       #=> 2000-01-01 20:15:01 UTC
  #     t.gmt?                              #=> true
  #
  def gmt?: () -> bool

  # Returns the offset in seconds between the timezone of *time* and UTC.
  #
  #     t = Time.gm(2000,1,1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #     t.gmt_offset                    #=> 0
  #     l = t.getlocal                  #=> 2000-01-01 14:15:01 -0600
  #     l.gmt_offset                    #=> -21600
  #
  def gmt_offset: () -> Integer

  # Converts *time* to UTC (GMT), modifying the receiver.
  #
  #     t = Time.now   #=> 2007-11-19 08:18:31 -0600
  #     t.gmt?         #=> false
  #     t.gmtime       #=> 2007-11-19 14:18:31 UTC
  #     t.gmt?         #=> true
  #
  #     t = Time.now   #=> 2007-11-19 08:18:51 -0600
  #     t.utc?         #=> false
  #     t.utc          #=> 2007-11-19 14:18:51 UTC
  #     t.utc?         #=> true
  #
  def gmtime: () -> Time

  # Returns a hash code for this Time object.
  #
  # See also Object#hash.
  #
  def hash: () -> Integer

  # Returns the hour of the day (0..23) for *time*.
  #
  #     t = Time.now   #=> 2007-11-19 08:26:20 -0600
  #     t.hour         #=> 8
  #
  def hour: () -> Integer

  # Returns a Time object.
  #
  # It is initialized to the current system time if no argument is given.
  #
  # **Note:** The new object will use the resolution available on your system
  # clock, and may include fractional seconds.
  #
  # If one or more arguments are specified, the time is initialized to the
  # specified time.
  #
  # `sec` may have fraction if it is a rational.
  #
  # `tz` specifies the timezone. It can be an offset from UTC, given either as a
  # string such as "+09:00" or a single letter "A".."Z" excluding "J" (so-called
  # military time zone), or as a number of seconds such as 32400. Or it can be a
  # timezone object, see [Timezone argument](#class-Time-label-Timezone+argument)
  # for details.
  #
  #     a = Time.new      #=> 2007-11-19 07:50:02 -0600
  #     b = Time.new      #=> 2007-11-19 07:50:02 -0600
  #     a == b            #=> false
  #     "%.6f" % a.to_f   #=> "1195480202.282373"
  #     "%.6f" % b.to_f   #=> "1195480202.283415"
  #
  #     Time.new(2008,6,21, 13,30,0, "+09:00") #=> 2008-06-21 13:30:00 +0900
  #
  #     # A trip for RubyConf 2007
  #     t1 = Time.new(2007,11,1,15,25,0, "+09:00") # JST (Narita)
  #     t2 = Time.new(2007,11,1,12, 5,0, "-05:00") # CDT (Minneapolis)
  #     t3 = Time.new(2007,11,1,13,25,0, "-05:00") # CDT (Minneapolis)
  #     t4 = Time.new(2007,11,1,16,53,0, "-04:00") # EDT (Charlotte)
  #     t5 = Time.new(2007,11,5, 9,24,0, "-05:00") # EST (Charlotte)
  #     t6 = Time.new(2007,11,5,11,21,0, "-05:00") # EST (Detroit)
  #     t7 = Time.new(2007,11,5,13,45,0, "-05:00") # EST (Detroit)
  #     t8 = Time.new(2007,11,6,17,10,0, "+09:00") # JST (Narita)
  #     (t2-t1)/3600.0                             #=> 10.666666666666666
  #     (t4-t3)/3600.0                             #=> 2.466666666666667
  #     (t6-t5)/3600.0                             #=> 1.95
  #     (t8-t7)/3600.0                             #=> 13.416666666666666
  #
  def initialize: (?Integer | String year, ?Integer | String month, ?Integer | String day, ?Integer | String hour, ?Integer | String min, ?Numeric | String sec, ?Numeric | String usec_with_frac) -> void

  # Returns a detailed string representing *time*. Unlike to_s, preserves
  # nanoseconds in the representation for easier debugging.
  #
  #     t = Time.now
  #     t.inspect                             #=> "2012-11-10 18:16:12.261257655 +0100"
  #     t.strftime "%Y-%m-%d %H:%M:%S.%N %z"  #=> "2012-11-10 18:16:12.261257655 +0100"
  #
  #     t.utc.inspect                          #=> "2012-11-10 17:16:12.261257655 UTC"
  #     t.strftime "%Y-%m-%d %H:%M:%S.%N UTC"  #=> "2012-11-10 17:16:12.261257655 UTC"
  #
  def inspect: () -> String

  # Returns `true` if *time* occurs during Daylight Saving Time in its time zone.
  #
  #     # CST6CDT:
  #       Time.local(2000, 1, 1).zone    #=> "CST"
  #       Time.local(2000, 1, 1).isdst   #=> false
  #       Time.local(2000, 1, 1).dst?    #=> false
  #       Time.local(2000, 7, 1).zone    #=> "CDT"
  #       Time.local(2000, 7, 1).isdst   #=> true
  #       Time.local(2000, 7, 1).dst?    #=> true
  #
  #     # Asia/Tokyo:
  #       Time.local(2000, 1, 1).zone    #=> "JST"
  #       Time.local(2000, 1, 1).isdst   #=> false
  #       Time.local(2000, 1, 1).dst?    #=> false
  #       Time.local(2000, 7, 1).zone    #=> "JST"
  #       Time.local(2000, 7, 1).isdst   #=> false
  #       Time.local(2000, 7, 1).dst?    #=> false
  #
  def isdst: () -> bool

  # Converts *time* to local time (using the local time zone in effect at the
  # creation time of *time*) modifying the receiver.
  #
  # If `utc_offset` is given, it is used instead of the local time.
  #
  #     t = Time.utc(2000, "jan", 1, 20, 15, 1) #=> 2000-01-01 20:15:01 UTC
  #     t.utc?                                  #=> true
  #
  #     t.localtime                             #=> 2000-01-01 14:15:01 -0600
  #     t.utc?                                  #=> false
  #
  #     t.localtime("+09:00")                   #=> 2000-01-02 05:15:01 +0900
  #     t.utc?                                  #=> false
  #
  # If `utc_offset` is not given and *time* is local time, just returns the
  # receiver.
  #
  def localtime: (?String utc_offset) -> Time

  # Returns the day of the month (1..n) for *time*.
  #
  #     t = Time.now   #=> 2007-11-19 08:27:03 -0600
  #     t.day          #=> 19
  #     t.mday         #=> 19
  #
  def mday: () -> Integer

  # Returns the minute of the hour (0..59) for *time*.
  #
  #     t = Time.now   #=> 2007-11-19 08:25:51 -0600
  #     t.min          #=> 25
  #
  def min: () -> Integer

  # Returns the month of the year (1..12) for *time*.
  #
  #     t = Time.now   #=> 2007-11-19 08:27:30 -0600
  #     t.mon          #=> 11
  #     t.month        #=> 11
  #
  def mon: () -> Integer

  # Returns `true` if *time* represents Monday.
  #
  #     t = Time.local(2003, 8, 4)       #=> 2003-08-04 00:00:00 -0500
  #     t.monday?                        #=> true
  #
  def monday?: () -> bool

  # Returns the number of nanoseconds for *time*.
  #
  #     t = Time.now        #=> 2007-11-17 15:18:03 +0900
  #     "%10.9f" % t.to_f   #=> "1195280283.536151409"
  #     t.nsec              #=> 536151406
  #
  # The lowest digits of #to_f and #nsec are different because IEEE 754 double is
  # not accurate enough to represent the exact number of nanoseconds since the
  # Epoch.
  #
  # The more accurate value is returned by #nsec.
  #
  def nsec: () -> Integer

  # Rounds sub seconds to a given precision in decimal digits (0 digits by
  # default). It returns a new Time object. `ndigits` should be zero or a positive
  # integer.
  #
  #     require 'time'
  #
  #     t = Time.utc(2010,3,30, 5,43,25.123456789r)
  #     t.iso8601(10)           #=> "2010-03-30T05:43:25.1234567890Z"
  #     t.round.iso8601(10)     #=> "2010-03-30T05:43:25.0000000000Z"
  #     t.round(0).iso8601(10)  #=> "2010-03-30T05:43:25.0000000000Z"
  #     t.round(1).iso8601(10)  #=> "2010-03-30T05:43:25.1000000000Z"
  #     t.round(2).iso8601(10)  #=> "2010-03-30T05:43:25.1200000000Z"
  #     t.round(3).iso8601(10)  #=> "2010-03-30T05:43:25.1230000000Z"
  #     t.round(4).iso8601(10)  #=> "2010-03-30T05:43:25.1235000000Z"
  #
  #     t = Time.utc(1999,12,31, 23,59,59)
  #     (t + 0.4).round.iso8601(3)    #=> "1999-12-31T23:59:59.000Z"
  #     (t + 0.49).round.iso8601(3)   #=> "1999-12-31T23:59:59.000Z"
  #     (t + 0.5).round.iso8601(3)    #=> "2000-01-01T00:00:00.000Z"
  #     (t + 1.4).round.iso8601(3)    #=> "2000-01-01T00:00:00.000Z"
  #     (t + 1.49).round.iso8601(3)   #=> "2000-01-01T00:00:00.000Z"
  #     (t + 1.5).round.iso8601(3)    #=> "2000-01-01T00:00:01.000Z"
  #
  #     t = Time.utc(1999,12,31, 23,59,59)
  #     (t + 0.123456789).round(4).iso8601(6)  #=> "1999-12-31T23:59:59.123500Z"
  #
  def round: (?Integer arg0) -> Time

  # Returns `true` if *time* represents Saturday.
  #
  #     t = Time.local(2006, 6, 10)      #=> 2006-06-10 00:00:00 -0500
  #     t.saturday?                      #=> true
  #
  def saturday?: () -> bool

  # Returns the second of the minute (0..60) for *time*.
  #
  # **Note:** Seconds range from zero to 60 to allow the system to inject leap
  # seconds. See http://en.wikipedia.org/wiki/Leap_second for further details.
  #
  #     t = Time.now   #=> 2007-11-19 08:25:02 -0600
  #     t.sec          #=> 2
  #
  def sec: () -> Integer

  # Formats *time* according to the directives in the given format string.
  #
  # The directives begin with a percent (%) character. Any text not listed as a
  # directive will be passed through to the output string.
  #
  # The directive consists of a percent (%) character, zero or more flags,
  # optional minimum field width, optional modifier and a conversion specifier as
  # follows:
  #
  #     %<flags><width><modifier><conversion>
  #
  # Flags:
  #     -  don't pad a numerical output
  #     _  use spaces for padding
  #     0  use zeros for padding
  #     ^  upcase the result string
  #     #  change case
  #     :  use colons for %z
  #
  # The minimum field width specifies the minimum width.
  #
  # The modifiers are "E" and "O". They are ignored.
  #
  # Format directives:
  #
  #     Date (Year, Month, Day):
  #       %Y - Year with century if provided, will pad result at least 4 digits.
  #               -0001, 0000, 1995, 2009, 14292, etc.
  #       %C - year / 100 (rounded down such as 20 in 2009)
  #       %y - year % 100 (00..99)
  #
  #       %m - Month of the year, zero-padded (01..12)
  #               %_m  blank-padded ( 1..12)
  #               %-m  no-padded (1..12)
  #       %B - The full month name (``January'')
  #               %^B  uppercased (``JANUARY'')
  #       %b - The abbreviated month name (``Jan'')
  #               %^b  uppercased (``JAN'')
  #       %h - Equivalent to %b
  #
  #       %d - Day of the month, zero-padded (01..31)
  #               %-d  no-padded (1..31)
  #       %e - Day of the month, blank-padded ( 1..31)
  #
  #       %j - Day of the year (001..366)
  #
  #     Time (Hour, Minute, Second, Subsecond):
  #       %H - Hour of the day, 24-hour clock, zero-padded (00..23)
  #       %k - Hour of the day, 24-hour clock, blank-padded ( 0..23)
  #       %I - Hour of the day, 12-hour clock, zero-padded (01..12)
  #       %l - Hour of the day, 12-hour clock, blank-padded ( 1..12)
  #       %P - Meridian indicator, lowercase (``am'' or ``pm'')
  #       %p - Meridian indicator, uppercase (``AM'' or ``PM'')
  #
  #       %M - Minute of the hour (00..59)
  #
  #       %S - Second of the minute (00..60)
  #
  #       %L - Millisecond of the second (000..999)
  #            The digits under millisecond are truncated to not produce 1000.
  #       %N - Fractional seconds digits, default is 9 digits (nanosecond)
  #               %3N  millisecond (3 digits)
  #               %6N  microsecond (6 digits)
  #               %9N  nanosecond (9 digits)
  #               %12N picosecond (12 digits)
  #               %15N femtosecond (15 digits)
  #               %18N attosecond (18 digits)
  #               %21N zeptosecond (21 digits)
  #               %24N yoctosecond (24 digits)
  #            The digits under the specified length are truncated to avoid
  #            carry up.
  #
  #     Time zone:
  #       %z - Time zone as hour and minute offset from UTC (e.g. +0900)
  #               %:z - hour and minute offset from UTC with a colon (e.g. +09:00)
  #               %::z - hour, minute and second offset from UTC (e.g. +09:00:00)
  #       %Z - Abbreviated time zone name or similar information.  (OS dependent)
  #
  #     Weekday:
  #       %A - The full weekday name (``Sunday'')
  #               %^A  uppercased (``SUNDAY'')
  #       %a - The abbreviated name (``Sun'')
  #               %^a  uppercased (``SUN'')
  #       %u - Day of the week (Monday is 1, 1..7)
  #       %w - Day of the week (Sunday is 0, 0..6)
  #
  #     ISO 8601 week-based year and week number:
  #     The first week of YYYY starts with a Monday and includes YYYY-01-04.
  #     The days in the year before the first week are in the last week of
  #     the previous year.
  #       %G - The week-based year
  #       %g - The last 2 digits of the week-based year (00..99)
  #       %V - Week number of the week-based year (01..53)
  #
  #     Week number:
  #     The first week of YYYY that starts with a Sunday or Monday (according to %U
  #     or %W). The days in the year before the first week are in week 0.
  #       %U - Week number of the year. The week starts with Sunday. (00..53)
  #       %W - Week number of the year. The week starts with Monday. (00..53)
  #
  #     Seconds since the Epoch:
  #       %s - Number of seconds since 1970-01-01 00:00:00 UTC.
  #
  #     Literal string:
  #       %n - Newline character (\n)
  #       %t - Tab character (\t)
  #       %% - Literal ``%'' character
  #
  #     Combination:
  #       %c - date and time (%a %b %e %T %Y)
  #       %D - Date (%m/%d/%y)
  #       %F - The ISO 8601 date format (%Y-%m-%d)
  #       %v - VMS date (%e-%^b-%4Y)
  #       %x - Same as %D
  #       %X - Same as %T
  #       %r - 12-hour time (%I:%M:%S %p)
  #       %R - 24-hour time (%H:%M)
  #       %T - 24-hour time (%H:%M:%S)
  #
  # This method is similar to strftime() function defined in ISO C and POSIX.
  #
  # While all directives are locale independent since Ruby 1.9, %Z is platform
  # dependent. So, the result may differ even if the same format string is used in
  # other systems such as C.
  #
  # %z is recommended over %Z. %Z doesn't identify the timezone. For example,
  # "CST" is used at America/Chicago (-06:00), America/Havana (-05:00),
  # Asia/Harbin (+08:00), Australia/Darwin (+09:30) and Australia/Adelaide
  # (+10:30). Also, %Z is highly dependent on the operating system. For example,
  # it may generate a non ASCII string on Japanese Windows, i.e. the result can be
  # different to "JST". So the numeric time zone offset, %z, is recommended.
  #
  # Examples:
  #
  #     t = Time.new(2007,11,19,8,37,48,"-06:00") #=> 2007-11-19 08:37:48 -0600
  #     t.strftime("Printed on %m/%d/%Y")         #=> "Printed on 11/19/2007"
  #     t.strftime("at %I:%M %p")                 #=> "at 08:37 AM"
  #
  # Various ISO 8601 formats:
  #     %Y%m%d           => 20071119                  Calendar date (basic)
  #     %F               => 2007-11-19                Calendar date (extended)
  #     %Y-%m            => 2007-11                   Calendar date, reduced accuracy, specific month
  #     %Y               => 2007                      Calendar date, reduced accuracy, specific year
  #     %C               => 20                        Calendar date, reduced accuracy, specific century
  #     %Y%j             => 2007323                   Ordinal date (basic)
  #     %Y-%j            => 2007-323                  Ordinal date (extended)
  #     %GW%V%u          => 2007W471                  Week date (basic)
  #     %G-W%V-%u        => 2007-W47-1                Week date (extended)
  #     %GW%V            => 2007W47                   Week date, reduced accuracy, specific week (basic)
  #     %G-W%V           => 2007-W47                  Week date, reduced accuracy, specific week (extended)
  #     %H%M%S           => 083748                    Local time (basic)
  #     %T               => 08:37:48                  Local time (extended)
  #     %H%M             => 0837                      Local time, reduced accuracy, specific minute (basic)
  #     %H:%M            => 08:37                     Local time, reduced accuracy, specific minute (extended)
  #     %H               => 08                        Local time, reduced accuracy, specific hour
  #     %H%M%S,%L        => 083748,000                Local time with decimal fraction, comma as decimal sign (basic)
  #     %T,%L            => 08:37:48,000              Local time with decimal fraction, comma as decimal sign (extended)
  #     %H%M%S.%L        => 083748.000                Local time with decimal fraction, full stop as decimal sign (basic)
  #     %T.%L            => 08:37:48.000              Local time with decimal fraction, full stop as decimal sign (extended)
  #     %H%M%S%z         => 083748-0600               Local time and the difference from UTC (basic)
  #     %T%:z            => 08:37:48-06:00            Local time and the difference from UTC (extended)
  #     %Y%m%dT%H%M%S%z  => 20071119T083748-0600      Date and time of day for calendar date (basic)
  #     %FT%T%:z         => 2007-11-19T08:37:48-06:00 Date and time of day for calendar date (extended)
  #     %Y%jT%H%M%S%z    => 2007323T083748-0600       Date and time of day for ordinal date (basic)
  #     %Y-%jT%T%:z      => 2007-323T08:37:48-06:00   Date and time of day for ordinal date (extended)
  #     %GW%V%uT%H%M%S%z => 2007W471T083748-0600      Date and time of day for week date (basic)
  #     %G-W%V-%uT%T%:z  => 2007-W47-1T08:37:48-06:00 Date and time of day for week date (extended)
  #     %Y%m%dT%H%M      => 20071119T0837             Calendar date and local time (basic)
  #     %FT%R            => 2007-11-19T08:37          Calendar date and local time (extended)
  #     %Y%jT%H%MZ       => 2007323T0837Z             Ordinal date and UTC of day (basic)
  #     %Y-%jT%RZ        => 2007-323T08:37Z           Ordinal date and UTC of day (extended)
  #     %GW%V%uT%H%M%z   => 2007W471T0837-0600        Week date and local time and difference from UTC (basic)
  #     %G-W%V-%uT%R%:z  => 2007-W47-1T08:37-06:00    Week date and local time and difference from UTC (extended)
  #
  def strftime: (String arg0) -> String

  # Returns the fraction for *time*.
  #
  # The return value can be a rational number.
  #
  #     t = Time.now        #=> 2009-03-26 22:33:12 +0900
  #     "%10.9f" % t.to_f   #=> "1238074392.940563917"
  #     t.subsec            #=> (94056401/100000000)
  #
  # The lowest digits of #to_f and #subsec are different because IEEE 754 double
  # is not accurate enough to represent the rational number.
  #
  # The more accurate value is returned by #subsec.
  #
  def subsec: () -> Numeric

  # Returns `true` if *time* represents Sunday.
  #
  #     t = Time.local(1990, 4, 1)       #=> 1990-04-01 00:00:00 -0600
  #     t.sunday?                        #=> true
  #
  def sunday?: () -> bool

  # Returns `true` if *time* represents Thursday.
  #
  #     t = Time.local(1995, 12, 21)     #=> 1995-12-21 00:00:00 -0600
  #     t.thursday?                      #=> true
  #
  def thursday?: () -> bool

  # Returns a ten-element *array* of values for *time*:
  #
  #     [sec, min, hour, day, month, year, wday, yday, isdst, zone]
  #
  # See the individual methods for an explanation of the valid ranges of each
  # value. The ten elements can be passed directly to Time::utc or Time::local to
  # create a new Time object.
  #
  #     t = Time.now     #=> 2007-11-19 08:36:01 -0600
  #     now = t.to_a     #=> [1, 36, 8, 19, 11, 2007, 1, 323, false, "CST"]
  #
  def to_a: () -> [ Integer, Integer, Integer, Integer, Integer, Integer, Integer, Integer, bool, String ]

  # Returns the value of *time* as a floating point number of seconds since the
  # Epoch.
  #
  #     t = Time.now
  #     "%10.5f" % t.to_f   #=> "1270968744.77658"
  #     t.to_i              #=> 1270968744
  #
  # Note that IEEE 754 double is not accurate enough to represent the exact number
  # of nanoseconds since the Epoch.
  #
  def to_f: () -> Float

  # Returns the value of *time* as an integer number of seconds since the Epoch.
  #
  #     t = Time.now
  #     "%10.5f" % t.to_f   #=> "1270968656.89607"
  #     t.to_i              #=> 1270968656
  #
  def to_i: () -> Integer

  # Returns the value of *time* as a rational number of seconds since the Epoch.
  #
  #     t = Time.now
  #     t.to_r            #=> (1270968792716287611/1000000000)
  #
  # This methods is intended to be used to get an accurate value representing the
  # nanoseconds since the Epoch. You can use this method to convert *time* to
  # another Epoch.
  #
  def to_r: () -> Rational

  # Returns a string representing *time*. Equivalent to calling #strftime with the
  # appropriate format string.
  #
  #     t = Time.now
  #     t.to_s                              #=> "2012-11-10 18:16:12 +0100"
  #     t.strftime "%Y-%m-%d %H:%M:%S %z"   #=> "2012-11-10 18:16:12 +0100"
  #
  #     t.utc.to_s                          #=> "2012-11-10 17:16:12 UTC"
  #     t.strftime "%Y-%m-%d %H:%M:%S UTC"  #=> "2012-11-10 17:16:12 UTC"
  #
  def to_s: () -> String

  # Returns `true` if *time* represents Tuesday.
  #
  #     t = Time.local(1991, 2, 19)      #=> 1991-02-19 00:00:00 -0600
  #     t.tuesday?                       #=> true
  #
  def tuesday?: () -> bool

  # Returns the number of nanoseconds for *time*.
  #
  #     t = Time.now        #=> 2007-11-17 15:18:03 +0900
  #     "%10.9f" % t.to_f   #=> "1195280283.536151409"
  #     t.nsec              #=> 536151406
  #
  # The lowest digits of #to_f and #nsec are different because IEEE 754 double is
  # not accurate enough to represent the exact number of nanoseconds since the
  # Epoch.
  #
  # The more accurate value is returned by #nsec.
  #
  def tv_nsec: () -> Numeric

  # Returns the value of *time* as an integer number of seconds since the Epoch.
  #
  #     t = Time.now
  #     "%10.5f" % t.to_f   #=> "1270968656.89607"
  #     t.to_i              #=> 1270968656
  #
  def tv_sec: () -> Numeric

  # Returns the number of microseconds for *time*.
  #
  #     t = Time.now        #=> 2007-11-19 08:03:26 -0600
  #     "%10.6f" % t.to_f   #=> "1195481006.775195"
  #     t.usec              #=> 775195
  #
  def tv_usec: () -> Numeric

  # Returns the number of microseconds for *time*.
  #
  #     t = Time.now        #=> 2007-11-19 08:03:26 -0600
  #     "%10.6f" % t.to_f   #=> "1195481006.775195"
  #     t.usec              #=> 775195
  #
  def usec: () -> Numeric

  # Converts *time* to UTC (GMT), modifying the receiver.
  #
  #     t = Time.now   #=> 2007-11-19 08:18:31 -0600
  #     t.gmt?         #=> false
  #     t.gmtime       #=> 2007-11-19 14:18:31 UTC
  #     t.gmt?         #=> true
  #
  #     t = Time.now   #=> 2007-11-19 08:18:51 -0600
  #     t.utc?         #=> false
  #     t.utc          #=> 2007-11-19 14:18:51 UTC
  #     t.utc?         #=> true
  #
  def utc: () -> Time

  # Returns `true` if *time* represents a time in UTC (GMT).
  #
  #     t = Time.now                        #=> 2007-11-19 08:15:23 -0600
  #     t.utc?                              #=> false
  #     t = Time.gm(2000,"jan",1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #     t.utc?                              #=> true
  #
  #     t = Time.now                        #=> 2007-11-19 08:16:03 -0600
  #     t.gmt?                              #=> false
  #     t = Time.gm(2000,1,1,20,15,1)       #=> 2000-01-01 20:15:01 UTC
  #     t.gmt?                              #=> true
  #
  def utc?: () -> bool

  # Returns the offset in seconds between the timezone of *time* and UTC.
  #
  #     t = Time.gm(2000,1,1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #     t.gmt_offset                    #=> 0
  #     l = t.getlocal                  #=> 2000-01-01 14:15:01 -0600
  #     l.gmt_offset                    #=> -21600
  #
  def utc_offset: () -> Integer

  # Returns an integer representing the day of the week, 0..6, with Sunday == 0.
  #
  #     t = Time.now   #=> 2007-11-20 02:35:35 -0600
  #     t.wday         #=> 2
  #     t.sunday?      #=> false
  #     t.monday?      #=> false
  #     t.tuesday?     #=> true
  #     t.wednesday?   #=> false
  #     t.thursday?    #=> false
  #     t.friday?      #=> false
  #     t.saturday?    #=> false
  #
  def wday: () -> Integer

  # Returns `true` if *time* represents Wednesday.
  #
  #     t = Time.local(1993, 2, 24)      #=> 1993-02-24 00:00:00 -0600
  #     t.wednesday?                     #=> true
  #
  def wednesday?: () -> bool

  # Returns an integer representing the day of the year, 1..366.
  #
  #     t = Time.now   #=> 2007-11-19 08:32:31 -0600
  #     t.yday         #=> 323
  #
  def yday: () -> Integer

  # Returns the year for *time* (including the century).
  #
  #     t = Time.now   #=> 2007-11-19 08:27:51 -0600
  #     t.year         #=> 2007
  #
  def year: () -> Integer

  # Returns the name of the time zone used for *time*. As of Ruby 1.8, returns
  # ``UTC'' rather than ``GMT'' for UTC times.
  #
  #     t = Time.gm(2000, "jan", 1, 20, 15, 1)
  #     t.zone   #=> "UTC"
  #     t = Time.local(2000, "jan", 1, 20, 15, 1)
  #     t.zone   #=> "CST"
  #
  def zone: () -> String

  # Same as Time::gm, but interprets the values in the local time zone.
  #
  #     Time.local(2000,"jan",1,20,15,1)   #=> 2000-01-01 20:15:01 -0600
  #
  def self.mktime: (Integer year, ?Integer | String month, ?Integer day, ?Integer hour, ?Integer min, ?Numeric sec, ?Numeric usec_with_frac) -> Time

  # Returns the offset in seconds between the timezone of *time* and UTC.
  #
  #     t = Time.gm(2000,1,1,20,15,1)   #=> 2000-01-01 20:15:01 UTC
  #     t.gmt_offset                    #=> 0
  #     l = t.getlocal                  #=> 2000-01-01 14:15:01 -0600
  #     l.gmt_offset                    #=> -21600
  #
  def gmtoff: () -> Integer

  # Returns the month of the year (1..12) for *time*.
  #
  #     t = Time.now   #=> 2007-11-19 08:27:30 -0600
  #     t.mon          #=> 11
  #     t.month        #=> 11
  #
  def month: () -> Integer

  # Floors sub seconds to a given precision in decimal digits (0 digits by
  # default). It returns a new Time object. `ndigits` should be zero or a positive
  # integer.
  #
  #     require 'time'
  #
  #     t = Time.utc(2010,3,30, 5,43,25.123456789r)
  #     t.iso8601(10)           #=> "2010-03-30T05:43:25.1234567890Z"
  #     t.floor.iso8601(10)     #=> "2010-03-30T05:43:25.0000000000Z"
  #     t.floor(0).iso8601(10)  #=> "2010-03-30T05:43:25.0000000000Z"
  #     t.floor(1).iso8601(10)  #=> "2010-03-30T05:43:25.1000000000Z"
  #     t.floor(2).iso8601(10)  #=> "2010-03-30T05:43:25.1200000000Z"
  #     t.floor(3).iso8601(10)  #=> "2010-03-30T05:43:25.1230000000Z"
  #     t.floor(4).iso8601(10)  #=> "2010-03-30T05:43:25.1234000000Z"
  #
  #     t = Time.utc(1999,12,31, 23,59,59)
  #     (t + 0.4).floor.iso8601(3)    #=> "1999-12-31T23:59:59.000Z"
  #     (t + 0.9).floor.iso8601(3)    #=> "1999-12-31T23:59:59.000Z"
  #     (t + 1.4).floor.iso8601(3)    #=> "2000-01-01T00:00:00.000Z"
  #     (t + 1.9).floor.iso8601(3)    #=> "2000-01-01T00:00:00.000Z"
  #
  #     t = Time.utc(1999,12,31, 23,59,59)
  #     (t + 0.123456789).floor(4).iso8601(6)  #=> "1999-12-31T23:59:59.123400Z"
  #
  def floor: (?Integer ndigits) -> Time

  # Ceils sub seconds to a given precision in decimal digits (0 digits by
  # default). It returns a new Time object. `ndigits` should be zero or a positive
  # integer.
  #
  #     require 'time'
  #
  #     t = Time.utc(2010,3,30, 5,43,25.0123456789r)
  #     t.iso8601(10)          #=> "2010-03-30T05:43:25.0123456789Z"
  #     t.ceil.iso8601(10)     #=> "2010-03-30T05:43:26.0000000000Z"
  #     t.ceil(0).iso8601(10)  #=> "2010-03-30T05:43:26.0000000000Z"
  #     t.ceil(1).iso8601(10)  #=> "2010-03-30T05:43:25.1000000000Z"
  #     t.ceil(2).iso8601(10)  #=> "2010-03-30T05:43:25.0200000000Z"
  #     t.ceil(3).iso8601(10)  #=> "2010-03-30T05:43:25.0130000000Z"
  #     t.ceil(4).iso8601(10)  #=> "2010-03-30T05:43:25.0124000000Z"
  #
  #     t = Time.utc(1999,12,31, 23,59,59)
  #     (t + 0.4).ceil.iso8601(3)    #=> "2000-01-01T00:00:00.000Z"
  #     (t + 0.9).ceil.iso8601(3)    #=> "2000-01-01T00:00:00.000Z"
  #     (t + 1.4).ceil.iso8601(3)    #=> "2000-01-01T00:00:01.000Z"
  #     (t + 1.9).ceil.iso8601(3)    #=> "2000-01-01T00:00:01.000Z"
  #
  #     t = Time.utc(1999,12,31, 23,59,59)
  #     (t + 0.123456789).ceil(4).iso8601(6)  #=> "1999-12-31T23:59:59.123500Z"
  #
  def ceil: (?Integer ndigits) -> Time
end

Time::RFC2822_DAY_NAME: Array[String]

Time::RFC2822_MONTH_NAME: Array[String]

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