# 8.1. `datetime` — Basic date and time types

The `datetime` module supplies classes for manipulating dates and times in both simple and complex ways. While date and time arithmetic is supported, the focus of the implementation is on efficient attribute extraction for output formatting and manipulation. For related functionality, see also the `time` and `calendar` modules.

There are two kinds of date and time objects: “naive” and “aware”.

An aware object has sufficient knowledge of applicable algorithmic and political time adjustments, such as time zone and daylight saving time information, to locate itself relative to other aware objects. An aware object is used to represent a specific moment in time that is not open to interpretation [1].

A naive object does not contain enough information to unambiguously locate itself relative to other date/time objects. Whether a naive object represents Coordinated Universal Time (UTC), local time, or time in some other timezone is purely up to the program, just like it is up to the program whether a particular number represents metres, miles, or mass. Naive objects are easy to understand and to work with, at the cost of ignoring some aspects of reality.

For applications requiring aware objects, `datetime` and `time` objects have an optional time zone information attribute, `tzinfo`, that can be set to an instance of a subclass of the abstract `tzinfo` class. These `tzinfo` objects capture information about the offset from UTC time, the time zone name, and whether Daylight Saving Time is in effect. Note that only one concrete `tzinfo` class, the `timezone` class, is supplied by the `datetime` module. The `timezone` class can represent simple timezones with fixed offset from UTC, such as UTC itself or North American EST and EDT timezones. Supporting timezones at deeper levels of detail is up to the application. The rules for time adjustment across the world are more political than rational, change frequently, and there is no standard suitable for every application aside from UTC.

The `datetime` module exports the following constants:

`datetime.``MINYEAR`

  The smallest year number allowed in a `date` or `datetime` object. `MINYEAR` is `1`.

`datetime.``MAXYEAR`

  The largest year number allowed in a `date` or `datetime` object. `MAXYEAR` is `9999`.

See also

Module `calendar`
  General calendar related functions.
Module `time`
  Time access and conversions.

## 8.1.1. Available Types

class `datetime.``date`

  An idealized naive date, assuming the current Gregorian calendar always was, and always will be, in effect. Attributes: `year`, `month`, and `day`.

class `datetime.``time`

  An idealized time, independent of any particular day, assuming that every day has exactly 24*60*60 seconds (there is no notion of “leap seconds” here). Attributes: `hour`, `minute`, `second`, `microsecond`, and `tzinfo`.

class `datetime.``datetime`

  A combination of a date and a time. Attributes: `year`, `month`, `day`, `hour`, `minute`, `second`, `microsecond`, and `tzinfo`.

class `datetime.``timedelta`

  A duration expressing the difference between two `date`, `time`, or `datetime` instances to microsecond resolution.

class `datetime.``tzinfo`

  An abstract base class for time zone information objects. These are used by the `datetime` and `time` classes to provide a customizable notion of time adjustment (for example, to account for time zone and/or daylight saving time).

class `datetime.``timezone`

  A class that implements the `tzinfo` abstract base class as a fixed offset from the UTC.

  New in version 3.2.

Objects of these types are immutable.

Objects of the `date` type are always naive.

An object of type `time` or `datetime` may be naive or aware. A `datetime` object d is aware if `d.tzinfo` is not `None` and `d.tzinfo.utcoffset(d)` does not return `None`. If `d.tzinfo` is `None`, or if `d.tzinfo` is not `None` but `d.tzinfo.utcoffset(d)` returns `None`, d is naive. A `time` object t is aware if `t.tzinfo` is not `None` and `t.tzinfo.utcoffset(None)` does not return `None`. Otherwise, t is naive.

The distinction between naive and aware doesn’t apply to `timedelta` objects.

Subclass relationships:

    object
        timedelta
        tzinfo
            timezone
        time
        date
            datetime

## 8.1.2. `timedelta` Objects

A `timedelta` object represents a duration, the difference between two dates or times.

class `datetime.``timedelta`(days=0, seconds=0, microseconds=0, milliseconds=0, minutes=0, hours=0, weeks=0)

  All arguments are optional and default to `0`. Arguments may be integers or floats, and may be positive or negative.

  Only days, seconds and microseconds are stored internally. Arguments are converted to those units:

  - A millisecond is converted to 1000 microseconds.
  - A minute is converted to 60 seconds.
  - An hour is converted to 3600 seconds.
  - A week is converted to 7 days.

  and days, seconds and microseconds are then normalized so that the representation is unique, with

  - `0 <= microseconds < 1000000`
  - `0 <= seconds < 3600*24` (the number of seconds in one day)
  - `-999999999 <= days <= 999999999`

  If any argument is a float and there are fractional microseconds, the fractional microseconds left over from all arguments are combined and their sum is rounded to the nearest microsecond using round-half-to-even tiebreaker. If no argument is a float, the conversion and normalization processes are exact (no information is lost).

  If the normalized value of days lies outside the indicated range, `OverflowError` is raised.

  Note that normalization of negative values may be surprising at first. For example,

      >>> from datetime import timedelta
      >>> d = timedelta(microseconds=-1)
      >>> (d.days, d.seconds, d.microseconds)
      (-1, 86399, 999999)

Class attributes are:

`timedelta.``min`

  The most negative `timedelta` object, `timedelta(-999999999)`.

`timedelta.``max`

  The most positive `timedelta` object, `timedelta(days=999999999, hours=23, minutes=59, seconds=59, microseconds=999999)`.

`timedelta.``resolution`

  The smallest possible difference between non-equal `timedelta` objects, `timedelta(microseconds=1)`.

Note that, because of normalization, `timedelta.max` > `-timedelta.min`. `-timedelta.max` is not representable as a `timedelta` object.

Instance attributes (read-only):

Attribute | Value
--- | ---
`days` | Between -999999999 and 999999999 inclusive
`seconds` | Between 0 and 86399 inclusive
`microseconds` | Between 0 and 999999 inclusive

Supported operations:

Operation | Result
--- | ---
`t1 = t2 + t3` | Sum of t2 and t3. Afterwards t1-t2 == t3 and t1-t3 == t2 are true. (1)
`t1 = t2 - t3` | Difference of t2 and t3. Afterwards t1 == t2 - t3 and t2 == t1 + t3 are true. (1)
`t1 = t2 * i or t1 = i * t2` | Delta multiplied by an integer. Afterwards t1 // i == t2 is true, provided `i != 0`.
| In general, t1 * i == t1 * (i-1) + t1 is true. (1)
`t1 = t2 * f or t1 = f * t2` | Delta multiplied by a float. The result is rounded to the nearest multiple of timedelta.resolution using round-half-to-even.
`f = t2 / t3` | Division (3) of t2 by t3. Returns a `float` object.
`t1 = t2 / f or t1 = t2 / i` | Delta divided by a float or an int. The result is rounded to the nearest multiple of timedelta.resolution using round-half-to-even.
`t1 = t2 // i` or `t1 = t2 // t3` | The floor is computed and the remainder (if any) is thrown away. In the second case, an integer is returned. (3)
`t1 = t2 % t3` | The remainder is computed as a `timedelta` object. (3)
`q, r = divmod(t1, t2)` | Computes the quotient and the remainder: `q = t1 // t2` (3) and `r = t1 % t2`. q is an integer and r is a `timedelta` object.
`+t1` | Returns a `timedelta` object with the same value. (2)
`-t1` | equivalent to `timedelta`(-t1.days, -t1.seconds, -t1.microseconds), and to t1* -1. (1)(4)
`abs(t)` | equivalent to +t when `t.days >= 0`, and to -t when `t.days < 0`. (2)
`str(t)` | Returns a string in the form `[D day[s], ][H]H:MM:SS[.UUUUUU]`, where D is negative for negative `t`. (5)
`repr(t)` | Returns a string in the form `datetime.timedelta(D[, S[, U]])`, where D is negative for negative `t`. (5)

Notes:

1. This is exact, but may overflow.

2. This is exact, and cannot overflow.

3. Division by 0 raises `ZeroDivisionError`.

4. -timedelta.max is not representable as a `timedelta` object.

5. String representations of `timedelta` objects are normalized similarly to their internal representation. This leads to somewhat unusual results for negative timedeltas. For example:

       >>> timedelta(hours=-5)
       datetime.timedelta(-1, 68400)
       >>> print(_)
       -1 day, 19:00:00

In addition to the operations listed above `timedelta` objects support certain additions and subtractions with `date` and `datetime` objects (see below).

Changed in version 3.2: Floor division and true division of a `timedelta` object by another `timedelta` object are now supported, as are remainder operations and the `divmod()` function. True division and multiplication of a `timedelta` object by a `float` object are now supported.

Comparisons of `timedelta` objects are supported with the `timedelta` object representing the smaller duration considered to be the smaller timedelta. In order to stop mixed-type comparisons from falling back to the default comparison by object address, when a `timedelta` object is compared to an object of a different type, `TypeError` is raised unless the comparison is `==` or `!=`. The latter cases return `False` or `True`, respectively.

`timedelta` objects are hashable (usable as dictionary keys), support efficient pickling, and in Boolean contexts, a `timedelta` object is considered to be true if and only if it isn’t equal to `timedelta(0)`.

Instance methods:

`timedelta.``total_seconds`()

  Return the total number of seconds contained in the duration. Equivalent to `td / timedelta(seconds=1)`.

  Note that for very large time intervals (greater than 270 years on most platforms) this method will lose microsecond accuracy.

  New in version 3.2.

Example usage:

    >>> from datetime import timedelta
    >>> year = timedelta(days=365)
    >>> another_year = timedelta(weeks=40, days=84, hours=23,
    ...                          minutes=50, seconds=600)  # adds up to 365 days
    >>> year.total_seconds()
    31536000.0
    >>> year == another_year
    True
    >>> ten_years = 10 * year
    >>> ten_years, ten_years.days // 365
    (datetime.timedelta(3650), 10)
    >>> nine_years = ten_years - year
    >>> nine_years, nine_years.days // 365
    (datetime.timedelta(3285), 9)
    >>> three_years = nine_years // 3;
    >>> three_years, three_years.days // 365
    (datetime.timedelta(1095), 3)
    >>> abs(three_years - ten_years) == 2 * three_years + year
    True

## 8.1.3. `date` Objects

A `date` object represents a date (year, month and day) in an idealized calendar, the current Gregorian calendar indefinitely extended in both directions. January 1 of year 1 is called day number 1, January 2 of year 1 is called day number 2, and so on. This matches the definition of the “proleptic Gregorian” calendar in Dershowitz and Reingold’s book Calendrical Calculations, where it’s the base calendar for all computations. See the book for algorithms for converting between proleptic Gregorian ordinals and many other calendar systems.

class `datetime.``date`(year, month, day)

  All arguments are required. Arguments may be integers, in the following ranges:

  - `MINYEAR <= year <= MAXYEAR`
  - `1 <= month <= 12`
  - `1 <= day <= number of days in the given month and year`

  If an argument outside those ranges is given, `ValueError` is raised.

Other constructors, all class methods:

classmethod `date.``today`()

  Return the current local date. This is equivalent to `date.fromtimestamp(time.time())`.

classmethod `date.``fromtimestamp`(timestamp)

  Return the local date corresponding to the POSIX timestamp, such as is returned by `time.time()`. This may raise `OverflowError`, if the timestamp is out of the range of values supported by the platform C `localtime()` function, and `OSError` on `localtime()` failure. It’s common for this to be restricted to years from 1970 through 2038. Note that on non-POSIX systems that include leap seconds in their notion of a timestamp, leap seconds are ignored by `fromtimestamp()`.

  Changed in version 3.3: Raise `OverflowError` instead of `ValueError` if the timestamp is out of the range of values supported by the platform C `localtime()` function. Raise `OSError` instead of `ValueError` on `localtime()` failure.

classmethod `date.``fromordinal`(ordinal)

  Return the date corresponding to the proleptic Gregorian ordinal, where January 1 of year 1 has ordinal 1. `ValueError` is raised unless `1 <= ordinal <= date.max.toordinal()`. For any date d, `date.fromordinal(d.toordinal()) == d`.

Class attributes:

`date.``min`

  The earliest representable date, `date(MINYEAR, 1, 1)`.

`date.``max`

  The latest representable date, `date(MAXYEAR, 12, 31)`.

`date.``resolution`

  The smallest possible difference between non-equal date objects, `timedelta(days=1)`.

Instance attributes (read-only):

`date.``year`

  Between `MINYEAR` and `MAXYEAR` inclusive.

`date.``month`

  Between 1 and 12 inclusive.

`date.``day`

  Between 1 and the number of days in the given month of the given year.

Supported operations:

Operation | Result
--- | ---
`date2 = date1 + timedelta` | date2 is `timedelta.days` days removed from date1. (1)
`date2 = date1 - timedelta` | Computes date2 such that `date2 + timedelta == date1`. (2)
`timedelta = date1 - date2` | (3)
`date1 < date2` | date1 is considered less than date2 when date1 precedes date2 in time. (4)

Notes:

1. date2 is moved forward in time if `timedelta.days > 0`, or backward if `timedelta.days < 0`. Afterward `date2 - date1 == timedelta.days`. `timedelta.seconds` and `timedelta.microseconds` are ignored. `OverflowError` is raised if `date2.year` would be smaller than `MINYEAR` or larger than `MAXYEAR`.
2. This isn’t quite equivalent to date1 + (-timedelta), because -timedelta in isolation can overflow in cases where date1 - timedelta does not. `timedelta.seconds` and `timedelta.microseconds` are ignored.
3. This is exact, and cannot overflow. timedelta.seconds and timedelta.microseconds are 0, and date2 + timedelta == date1 after.
4. In other words, `date1 < date2` if and only if `date1.toordinal() < date2.toordinal()`. In order to stop comparison from falling back to the default scheme of comparing object addresses, date comparison normally raises `TypeError` if the other comparand isn’t also a `date` object. However, `NotImplemented` is returned instead if the other comparand has a `timetuple()` attribute. This hook gives other kinds of date objects a chance at implementing mixed-type comparison. If not, when a `date` object is compared to an object of a different type, `TypeError` is raised unless the comparison is `==` or `!=`. The latter cases return `False` or `True`, respectively.

Dates can be used as dictionary keys. In Boolean contexts, all `date` objects are considered to be true.

Instance methods:

`date.``replace`(year, month, day)

  Return a date with the same value, except for those parameters given new values by whichever keyword arguments are specified. For example, if `d == date(2002, 12, 31)`, then `d.replace(day=26) == date(2002, 12, 26)`.

`date.``timetuple`()

  Return a `time.struct_time` such as returned by `time.localtime()`. The hours, minutes and seconds are 0, and the DST flag is -1. `d.timetuple()` is equivalent to `time.struct_time((d.year, d.month, d.day, 0, 0, 0, d.weekday(), yday, -1))`, where `yday = d.toordinal() - date(d.year, 1, 1).toordinal() + 1` is the day number within the current year starting with `1` for January 1st.

`date.``toordinal`()

  Return the proleptic Gregorian ordinal of the date, where January 1 of year 1 has ordinal 1. For any `date` object d, `date.fromordinal(d.toordinal()) == d`.

`date.``weekday`()

  Return the day of the week as an integer, where Monday is 0 and Sunday is 6. For example, `date(2002, 12, 4).weekday() == 2`, a Wednesday. See also `isoweekday()`.

`date.``isoweekday`()

  Return the day of the week as an integer, where Monday is 1 and Sunday is 7. For example, `date(2002, 12, 4).isoweekday() == 3`, a Wednesday. See also `weekday()`, `isocalendar()`.

`date.``isocalendar`()

  Return a 3-tuple, (ISO year, ISO week number, ISO weekday).

  The ISO calendar is a widely used variant of the Gregorian calendar. See http://www.staff.science.uu.nl/~gent0113/calendar/isocalendar.htm for a good explanation.

  The ISO year consists of 52 or 53 full weeks, and where a week starts on a Monday and ends on a Sunday. The first week of an ISO year is the first (Gregorian) calendar week of a year containing a Thursday. This is called week number 1, and the ISO year of that Thursday is the same as its Gregorian year.

  For example, 2004 begins on a Thursday, so the first week of ISO year 2004 begins on Monday, 29 Dec 2003 and ends on Sunday, 4 Jan 2004, so that `date(2003, 12, 29).isocalendar() == (2004, 1, 1)` and `date(2004, 1, 4).isocalendar() == (2004, 1, 7)`.

`date.``isoformat`()

  Return a string representing the date in ISO 8601 format, ‘YYYY-MM-DD’. For example, `date(2002, 12, 4).isoformat() == '2002-12-04'`.

`date.``__str__`()

  For a date d, `str(d)` is equivalent to `d.isoformat()`.

`date.``ctime`()

  Return a string representing the date, for example `date(2002, 12, 4).ctime() == 'Wed Dec 4 00:00:00 2002'`. `d.ctime()` is equivalent to `time.ctime(time.mktime(d.timetuple()))` on platforms where the native C `ctime()` function (which `time.ctime()` invokes, but which `date.ctime()` does not invoke) conforms to the C standard.

`date.``strftime`(format)

  Return a string representing the date, controlled by an explicit format string. Format codes referring to hours, minutes or seconds will see 0 values. For a complete list of formatting directives, see strftime() and strptime() Behavior.

`date.``__format__`(format)

  Same as `date.strftime()`. This makes it possible to specify format string for a `date` object when using `str.format()`. For a complete list of formatting directives, see strftime() and strptime() Behavior.

Example of counting days to an event:

    >>> import time
    >>> from datetime import date
    >>> today = date.today()
    >>> today
    datetime.date(2007, 12, 5)
    >>> today == date.fromtimestamp(time.time())
    True
    >>> my_birthday = date(today.year, 6, 24)
    >>> if my_birthday < today:
    ...     my_birthday = my_birthday.replace(year=today.year + 1)
    >>> my_birthday
    datetime.date(2008, 6, 24)
    >>> time_to_birthday = abs(my_birthday - today)
    >>> time_to_birthday.days
    202

Example of working with `date`:

    >>> from datetime import date
    >>> d = date.fromordinal(730920) # 730920th day after 1. 1. 0001
    >>> d
    datetime.date(2002, 3, 11)
    >>> t = d.timetuple()
    >>> for i in t:
    ...     print(i)
    2002                # year
    3                   # month
    11                  # day
    0
    0
    0
    0                   # weekday (0 = Monday)
    70                  # 70th day in the year
    -1
    >>> ic = d.isocalendar()
    >>> for i in ic:
    ...     print(i)
    2002                # ISO year
    11                  # ISO week number
    1                   # ISO day number ( 1 = Monday )
    >>> d.isoformat()
    '2002-03-11'
    >>> d.strftime("%d/%m/%y")
    '11/03/02'
    >>> d.strftime("%A %d. %B %Y")
    'Monday 11. March 2002'
    >>> 'The {1} is {0:%d}, the {2} is {0:%B}.'.format(d, "day", "month")
    'The day is 11, the month is March.'

## 8.1.4. `datetime` Objects

A `datetime` object is a single object containing all the information from a `date` object and a `time` object. Like a `date` object, `datetime` assumes the current Gregorian calendar extended in both directions; like a time object, `datetime` assumes there are exactly 3600*24 seconds in every day.

Constructor:

class `datetime.``datetime`(year, month, day, hour=0, minute=0, second=0, microsecond=0, tzinfo=None)

  The year, month and day arguments are required. tzinfo may be `None`, or an instance of a `tzinfo` subclass. The remaining arguments may be integers, in the following ranges:

  - `MINYEAR <= year <= MAXYEAR`
  - `1 <= month <= 12`
  - `1 <= day <= number of days in the given month and year`
  - `0 <= hour < 24`
  - `0 <= minute < 60`
  - `0 <= second < 60`
  - `0 <= microsecond < 1000000`

  If an argument outside those ranges is given, `ValueError` is raised.

Other constructors, all class methods:

classmethod `datetime.``today`()

  Return the current local datetime, with `tzinfo` `None`. This is equivalent to `datetime.fromtimestamp(time.time())`. See also `now()`, `fromtimestamp()`.

classmethod `datetime.``now`(tz=None)

  Return the current local date and time. If optional argument tz is `None` or not specified, this is like `today()`, but, if possible, supplies more precision than can be gotten from going through a `time.time()` timestamp (for example, this may be possible on platforms supplying the C `gettimeofday()` function).

  Else tz must be an instance of a class `tzinfo` subclass, and the current date and time are converted to tz‘s time zone. In this case the result is equivalent to `tz.fromutc(datetime.utcnow().replace(tzinfo=tz))`. See also `today()`, `utcnow()`.

classmethod `datetime.``utcnow`()

  Return the current UTC date and time, with `tzinfo` `None`. This is like `now()`, but returns the current UTC date and time, as a naive `datetime` object. An aware current UTC datetime can be obtained by calling `datetime.now(timezone.utc)`. See also `now()`.

classmethod `datetime.``fromtimestamp`(timestamp, tz=None)

  Return the local date and time corresponding to the POSIX timestamp, such as is returned by `time.time()`. If optional argument tz is `None` or not specified, the timestamp is converted to the platform’s local date and time, and the returned `datetime` object is naive.

  Else tz must be an instance of a class `tzinfo` subclass, and the timestamp is converted to tz‘s time zone. In this case the result is equivalent to `tz.fromutc(datetime.utcfromtimestamp(timestamp).replace(tzinfo=tz))`.

  `fromtimestamp()` may raise `OverflowError`, if the timestamp is out of the range of values supported by the platform C `localtime()` or `gmtime()` functions, and `OSError` on `localtime()` or `gmtime()` failure. It’s common for this to be restricted to years in 1970 through 2038. Note that on non-POSIX systems that include leap seconds in their notion of a timestamp, leap seconds are ignored by `fromtimestamp()`, and then it’s possible to have two timestamps differing by a second that yield identical `datetime` objects. See also `utcfromtimestamp()`.

  Changed in version 3.3: Raise `OverflowError` instead of `ValueError` if the timestamp is out of the range of values supported by the platform C `localtime()` or `gmtime()` functions. Raise `OSError` instead of `ValueError` on `localtime()` or `gmtime()` failure.

classmethod `datetime.``utcfromtimestamp`(timestamp)

  Return the UTC `datetime` corresponding to the POSIX timestamp, with `tzinfo` `None`. This may raise `OverflowError`, if the timestamp is out of the range of values supported by the platform C `gmtime()` function, and `OSError` on `gmtime()` failure. It’s common for this to be restricted to years in 1970 through 2038. See also `fromtimestamp()`.

  On the POSIX compliant platforms, `utcfromtimestamp(timestamp)` is equivalent to the following expression:

      datetime(1970, 1, 1) + timedelta(seconds=timestamp)

  Changed in version 3.3: Raise `OverflowError` instead of `ValueError` if the timestamp is out of the range of values supported by the platform C `gmtime()` function. Raise `OSError` instead of `ValueError` on `gmtime()` failure.

classmethod `datetime.``fromordinal`(ordinal)

  Return the `datetime` corresponding to the proleptic Gregorian ordinal, where January 1 of year 1 has ordinal 1. `ValueError` is raised unless `1 <= ordinal <= datetime.max.toordinal()`. The hour, minute, second and microsecond of the result are all 0, and `tzinfo` is `None`.

classmethod `datetime.``combine`(date, time)

  Return a new `datetime` object whose date components are equal to the given `date` object’s, and whose time components and `tzinfo` attributes are equal to the given `time` object’s. For any `datetime` object d, `d == datetime.combine(d.date(), d.timetz())`. If date is a `datetime` object, its time components and `tzinfo` attributes are ignored.

classmethod `datetime.``strptime`(date_string, format)

  Return a `datetime` corresponding to date_string, parsed according to format. This is equivalent to `datetime(*(time.strptime(date_string, format)[0:6]))`. `ValueError` is raised if the date_string and format can’t be parsed by `time.strptime()` or if it returns a value which isn’t a time tuple. For a complete list of formatting directives, see strftime() and strptime() Behavior.

Class attributes:

`datetime.``min`

  The earliest representable `datetime`, `datetime(MINYEAR, 1, 1, tzinfo=None)`.

`datetime.``max`

  The latest representable `datetime`, `datetime(MAXYEAR, 12, 31, 23, 59, 59, 999999, tzinfo=None)`.

`datetime.``resolution`

  The smallest possible difference between non-equal `datetime` objects, `timedelta(microseconds=1)`.

Instance attributes (read-only):

`datetime.``year`

  Between `MINYEAR` and `MAXYEAR` inclusive.

`datetime.``month`

  Between 1 and 12 inclusive.

`datetime.``day`

  Between 1 and the number of days in the given month of the given year.

`datetime.``hour`

  In `range(24)`.

`datetime.``minute`

  In `range(60)`.

`datetime.``second`

  In `range(60)`.

`datetime.``microsecond`

  In `range(1000000)`.

`datetime.``tzinfo`

  The object passed as the tzinfo argument to the `datetime` constructor, or `None` if none was passed.

Supported operations:

Operation | Result
--- | ---
`datetime2 = datetime1 + timedelta` | (1)
`datetime2 = datetime1 - timedelta` | (2)
`timedelta = datetime1 - datetime2` | (3)
`datetime1 < datetime2` | Compares `datetime` to `datetime`. (4)

1. datetime2 is a duration of timedelta removed from datetime1, moving forward in time if `timedelta.days` > 0, or backward if `timedelta.days` < 0. The result has the same `tzinfo` attribute as the input datetime, and datetime2 - datetime1 == timedelta after. `OverflowError` is raised if datetime2.year would be smaller than `MINYEAR` or larger than `MAXYEAR`. Note that no time zone adjustments are done even if the input is an aware object.

2. Computes the datetime2 such that datetime2 + timedelta == datetime1. As for addition, the result has the same `tzinfo` attribute as the input datetime, and no time zone adjustments are done even if the input is aware. This isn’t quite equivalent to datetime1 + (-timedelta), because -timedelta in isolation can overflow in cases where datetime1 - timedelta does not.

3. Subtraction of a `datetime` from a `datetime` is defined only if both operands are naive, or if both are aware. If one is aware and the other is naive, `TypeError` is raised.

   If both are naive, or both are aware and have the same `tzinfo` attribute, the `tzinfo` attributes are ignored, and the result is a `timedelta` object t such that `datetime2 + t == datetime1`. No time zone adjustments are done in this case.

   If both are aware and have different `tzinfo` attributes, `a-b` acts as if a and b were first converted to naive UTC datetimes first. The result is `(a.replace(tzinfo=None) - a.utcoffset()) - (b.replace(tzinfo=None) - b.utcoffset())` except that the implementation never overflows.

4. datetime1 is considered less than datetime2 when datetime1 precedes datetime2 in time.

   If one comparand is naive and the other is aware, `TypeError` is raised if an order comparison is attempted. For equality comparisons, naive instances are never equal to aware instances.

   If both comparands are aware, and have the same `tzinfo` attribute, the common `tzinfo` attribute is ignored and the base datetimes are compared. If both comparands are aware and have different `tzinfo` attributes, the comparands are first adjusted by subtracting their UTC offsets (obtained from `self.utcoffset()`).

   Changed in version 3.3: Equality comparisons between naive and aware `datetime` instances don’t raise `TypeError`.

   Note

   In order to stop comparison from falling back to the default scheme of comparing object addresses, datetime comparison normally raises `TypeError` if the other comparand isn’t also a `datetime` object. However, `NotImplemented` is returned instead if the other comparand has a `timetuple()` attribute. This hook gives other kinds of date objects a chance at implementing mixed-type comparison. If not, when a `datetime` object is compared to an object of a different type, `TypeError` is raised unless the comparison is `==` or `!=`. The latter cases return `False` or `True`, respectively.

`datetime` objects can be used as dictionary keys. In Boolean contexts, all `datetime` objects are considered to be true.

Instance methods:

`datetime.``date`()

  Return `date` object with same year, month and day.

`datetime.``time`()

  Return `time` object with same hour, minute, second and microsecond. `tzinfo` is `None`. See also method `timetz()`.

`datetime.``timetz`()

  Return `time` object with same hour, minute, second, microsecond, and tzinfo attributes. See also method `time()`.

`datetime.``replace`([year[, month[, day[, hour[, minute[, second[, microsecond[, tzinfo]]]]]]]])

  Return a datetime with the same attributes, except for those attributes given new values by whichever keyword arguments are specified. Note that `tzinfo=None` can be specified to create a naive datetime from an aware datetime with no conversion of date and time data.

`datetime.``astimezone`(tz=None)

  Return a `datetime` object with new `tzinfo` attribute tz, adjusting the date and time data so the result is the same UTC time as self, but in tz‘s local time.

  If provided, tz must be an instance of a `tzinfo` subclass, and its `utcoffset()` and `dst()` methods must not return `None`. self must be aware (`self.tzinfo` must not be `None`, and `self.utcoffset()` must not return `None`).

  If called without arguments (or with `tz=None`) the system local timezone is assumed. The `tzinfo` attribute of the converted datetime instance will be set to an instance of `timezone` with the zone name and offset obtained from the OS.

  If `self.tzinfo` is tz, `self.astimezone(tz)` is equal to self: no adjustment of date or time data is performed. Else the result is local time in time zone tz, representing the same UTC time as self: after `astz = dt.astimezone(tz)`, `astz - astz.utcoffset()` will usually have the same date and time data as `dt - dt.utcoffset()`. The discussion of class `tzinfo` explains the cases at Daylight Saving Time transition boundaries where this cannot be achieved (an issue only if tz models both standard and daylight time).

  If you merely want to attach a time zone object tz to a datetime dt without adjustment of date and time data, use `dt.replace(tzinfo=tz)`. If you merely want to remove the time zone object from an aware datetime dt without conversion of date and time data, use `dt.replace(tzinfo=None)`.

  Note that the default `tzinfo.fromutc()` method can be overridden in a `tzinfo` subclass to affect the result returned by `astimezone()`. Ignoring error cases, `astimezone()` acts like:

      def astimezone(self, tz):
          if self.tzinfo is tz:
              return self
          # Convert self to UTC, and attach the new time zone object.
          utc = (self - self.utcoffset()).replace(tzinfo=tz)
          # Convert from UTC to tz's local time.
          return tz.fromutc(utc)

  Changed in version 3.3: tz now can be omitted.

`datetime.``utcoffset`()

  If `tzinfo` is `None`, returns `None`, else returns `self.tzinfo.utcoffset(self)`, and raises an exception if the latter doesn’t return `None`, or a `timedelta` object representing a whole number of minutes with magnitude less than one day.

`datetime.``dst`()

  If `tzinfo` is `None`, returns `None`, else returns `self.tzinfo.dst(self)`, and raises an exception if the latter doesn’t return `None`, or a `timedelta` object representing a whole number of minutes with magnitude less than one day.

`datetime.``tzname`()

  If `tzinfo` is `None`, returns `None`, else returns `self.tzinfo.tzname(self)`, raises an exception if the latter doesn’t return `None` or a string object,

`datetime.``timetuple`()

  Return a `time.struct_time` such as returned by `time.localtime()`. `d.timetuple()` is equivalent to `time.struct_time((d.year, d.month, d.day, d.hour, d.minute, d.second, d.weekday(), yday, dst))`, where `yday = d.toordinal() - date(d.year, 1, 1).toordinal() + 1` is the day number within the current year starting with `1` for January 1st. The `tm_isdst` flag of the result is set according to the `dst()` method: `tzinfo` is `None` or `dst()` returns `None`, `tm_isdst` is set to `-1`; else if `dst()` returns a non-zero value, `tm_isdst` is set to `1`; else `tm_isdst` is set to `0`.

`datetime.``utctimetuple`()

  If `datetime` instance d is naive, this is the same as `d.timetuple()` except that `tm_isdst` is forced to 0 regardless of what `d.dst()` returns. DST is never in effect for a UTC time.

  If d is aware, d is normalized to UTC time, by subtracting `d.utcoffset()`, and a `time.struct_time` for the normalized time is returned. `tm_isdst` is forced to 0. Note that an `OverflowError` may be raised if d.year was `MINYEAR` or `MAXYEAR` and UTC adjustment spills over a year boundary.

`datetime.``toordinal`()

  Return the proleptic Gregorian ordinal of the date. The same as `self.date().toordinal()`.

`datetime.``timestamp`()

  Return POSIX timestamp corresponding to the `datetime` instance. The return value is a `float` similar to that returned by `time.time()`.

  Naive `datetime` instances are assumed to represent local time and this method relies on the platform C `mktime()` function to perform the conversion. Since `datetime` supports wider range of values than `mktime()` on many platforms, this method may raise `OverflowError` for times far in the past or far in the future.

  For aware `datetime` instances, the return value is computed as:

      (dt - datetime(1970, 1, 1, tzinfo=timezone.utc)).total_seconds()

  New in version 3.3.

  Note

  There is no method to obtain the POSIX timestamp directly from a naive `datetime` instance representing UTC time. If your application uses this convention and your system timezone is not set to UTC, you can obtain the POSIX timestamp by supplying `tzinfo=timezone.utc`:

      timestamp = dt.replace(tzinfo=timezone.utc).timestamp()

  or by calculating the timestamp directly:

      timestamp = (dt - datetime(1970, 1, 1)) / timedelta(seconds=1)

`datetime.``weekday`()

  Return the day of the week as an integer, where Monday is 0 and Sunday is 6. The same as `self.date().weekday()`. See also `isoweekday()`.

`datetime.``isoweekday`()

  Return the day of the week as an integer, where Monday is 1 and Sunday is 7. The same as `self.date().isoweekday()`. See also `weekday()`, `isocalendar()`.

`datetime.``isocalendar`()

  Return a 3-tuple, (ISO year, ISO week number, ISO weekday). The same as `self.date().isocalendar()`.

`datetime.``isoformat`(sep='T')

  Return a string representing the date and time in ISO 8601 format, YYYY-MM-DDTHH:MM:SS.mmmmmm or, if `microsecond` is 0, YYYY-MM-DDTHH:MM:SS

  If `utcoffset()` does not return `None`, a 6-character string is appended, giving the UTC offset in (signed) hours and minutes: YYYY-MM-DDTHH:MM:SS.mmmmmm+HH:MM or, if `microsecond` is 0 YYYY-MM-DDTHH:MM:SS+HH:MM

  The optional argument sep (default `'T'`) is a one-character separator, placed between the date and time portions of the result. For example,

      >>> from datetime import tzinfo, timedelta, datetime
      >>> class TZ(tzinfo):
      ...     def utcoffset(self, dt): return timedelta(minutes=-399)
      ...
      >>> datetime(2002, 12, 25, tzinfo=TZ()).isoformat(' ')
      '2002-12-25 00:00:00-06:39'

`datetime.``__str__`()

  For a `datetime` instance d, `str(d)` is equivalent to `d.isoformat(' ')`.

`datetime.``ctime`()

  Return a string representing the date and time, for example `datetime(2002, 12, 4, 20, 30, 40).ctime() == 'Wed Dec 4 20:30:40 2002'`. `d.ctime()` is equivalent to `time.ctime(time.mktime(d.timetuple()))` on platforms where the native C `ctime()` function (which `time.ctime()` invokes, but which `datetime.ctime()` does not invoke) conforms to the C standard.

`datetime.``strftime`(format)

  Return a string representing the date and time, controlled by an explicit format string. For a complete list of formatting directives, see strftime() and strptime() Behavior.

`datetime.``__format__`(format)

  Same as `datetime.strftime()`. This makes it possible to specify format string for a `datetime` object when using `str.format()`. For a complete list of formatting directives, see strftime() and strptime() Behavior.

Examples of working with datetime objects:

    >>> from datetime import datetime, date, time
    >>> # Using datetime.combine()
    >>> d = date(2005, 7, 14)
    >>> t = time(12, 30)
    >>> datetime.combine(d, t)
    datetime.datetime(2005, 7, 14, 12, 30)
    >>> # Using datetime.now() or datetime.utcnow()
    >>> datetime.now()
    datetime.datetime(2007, 12, 6, 16, 29, 43, 79043)   # GMT +1
    >>> datetime.utcnow()
    datetime.datetime(2007, 12, 6, 15, 29, 43, 79060)
    >>> # Using datetime.strptime()
    >>> dt = datetime.strptime("21/11/06 16:30", "%d/%m/%y %H:%M")
    >>> dt
    datetime.datetime(2006, 11, 21, 16, 30)
    >>> # Using datetime.timetuple() to get tuple of all attributes
    >>> tt = dt.timetuple()
    >>> for it in tt:
    ...     print(it)
    ...
    2006    # year
    11      # month
    21      # day
    16      # hour
    30      # minute
    0       # second
    1       # weekday (0 = Monday)
    325     # number of days since 1st January
    -1      # dst - method tzinfo.dst() returned None
    >>> # Date in ISO format
    >>> ic = dt.isocalendar()
    >>> for it in ic:
    ...     print(it)
    ...
    2006    # ISO year
    47      # ISO week
    2       # ISO weekday
    >>> # Formatting datetime
    >>> dt.strftime("%A, %d. %B %Y %I:%M%p")
    'Tuesday, 21. November 2006 04:30PM'
    >>> 'The {1} is {0:%d}, the {2} is {0:%B}, the {3} is {0:%I:%M%p}.'.format(dt, "day", "month", "time")
    'The day is 21, the month is November, the time is 04:30PM.'

Using datetime with tzinfo:

    >>> from datetime import timedelta, datetime, tzinfo
    >>> class GMT1(tzinfo):
    ...     def utcoffset(self, dt):
    ...         return timedelta(hours=1) + self.dst(dt)
    ...     def dst(self, dt):
    ...         # DST starts last Sunday in March
    ...         d = datetime(dt.year, 4, 1)   # ends last Sunday in October
    ...         self.dston = d - timedelta(days=d.weekday() + 1)
    ...         d = datetime(dt.year, 11, 1)
    ...         self.dstoff = d - timedelta(days=d.weekday() + 1)
    ...         if self.dston <=  dt.replace(tzinfo=None) < self.dstoff:
    ...             return timedelta(hours=1)
    ...         else:
    ...             return timedelta(0)
    ...     def tzname(self,dt):
    ...          return "GMT +1"
    ...
    >>> class GMT2(tzinfo):
    ...     def utcoffset(self, dt):
    ...         return timedelta(hours=2) + self.dst(dt)
    ...     def dst(self, dt):
    ...         d = datetime(dt.year, 4, 1)
    ...         self.dston = d - timedelta(days=d.weekday() + 1)
    ...         d = datetime(dt.year, 11, 1)
    ...         self.dstoff = d - timedelta(days=d.weekday() + 1)
    ...         if self.dston <=  dt.replace(tzinfo=None) < self.dstoff:
    ...             return timedelta(hours=1)
    ...         else:
    ...             return timedelta(0)
    ...     def tzname(self,dt):
    ...         return "GMT +2"
    ...
    >>> gmt1 = GMT1()
    >>> # Daylight Saving Time
    >>> dt1 = datetime(2006, 11, 21, 16, 30, tzinfo=gmt1)
    >>> dt1.dst()
    datetime.timedelta(0)
    >>> dt1.utcoffset()
    datetime.timedelta(0, 3600)
    >>> dt2 = datetime(2006, 6, 14, 13, 0, tzinfo=gmt1)
    >>> dt2.dst()
    datetime.timedelta(0, 3600)
    >>> dt2.utcoffset()
    datetime.timedelta(0, 7200)
    >>> # Convert datetime to another time zone
    >>> dt3 = dt2.astimezone(GMT2())
    >>> dt3
    datetime.datetime(2006, 6, 14, 14, 0, tzinfo=<GMT2 object at 0x...>)
    >>> dt2
    datetime.datetime(2006, 6, 14, 13, 0, tzinfo=<GMT1 object at 0x...>)
    >>> dt2.utctimetuple() == dt3.utctimetuple()
    True

## 8.1.5. `time` Objects

A time object represents a (local) time of day, independent of any particular day, and subject to adjustment via a `tzinfo` object.

class `datetime.``time`(hour=0, minute=0, second=0, microsecond=0, tzinfo=None)

  All arguments are optional. tzinfo may be `None`, or an instance of a `tzinfo` subclass. The remaining arguments may be integers, in the following ranges:

  - `0 <= hour < 24`
  - `0 <= minute < 60`
  - `0 <= second < 60`
  - `0 <= microsecond < 1000000`.

  If an argument outside those ranges is given, `ValueError` is raised. All default to `0` except tzinfo, which defaults to `None`.

Class attributes:

`time.``min`

  The earliest representable `time`, `time(0, 0, 0, 0)`.

`time.``max`

  The latest representable `time`, `time(23, 59, 59, 999999)`.

`time.``resolution`

  The smallest possible difference between non-equal `time` objects, `timedelta(microseconds=1)`, although note that arithmetic on `time` objects is not supported.

Instance attributes (read-only):

`time.``hour`

  In `range(24)`.

`time.``minute`

  In `range(60)`.

`time.``second`

  In `range(60)`.

`time.``microsecond`

  In `range(1000000)`.

`time.``tzinfo`

  The object passed as the tzinfo argument to the `time` constructor, or `None` if none was passed.

Supported operations:

- comparison of `time` to `time`, where a is considered less than b when a precedes b in time. If one comparand is naive and the other is aware, `TypeError` is raised if an order comparison is attempted. For equality comparisons, naive instances are never equal to aware instances.

  If both comparands are aware, and have the same `tzinfo` attribute, the common `tzinfo` attribute is ignored and the base times are compared. If both comparands are aware and have different `tzinfo` attributes, the comparands are first adjusted by subtracting their UTC offsets (obtained from `self.utcoffset()`). In order to stop mixed-type comparisons from falling back to the default comparison by object address, when a `time` object is compared to an object of a different type, `TypeError` is raised unless the comparison is `==` or `!=`. The latter cases return `False` or `True`, respectively.

  Changed in version 3.3: Equality comparisons between naive and aware `time` instances don’t raise `TypeError`.

- hash, use as dict key

- efficient pickling

- in Boolean contexts, a `time` object is considered to be true if and only if, after converting it to minutes and subtracting `utcoffset()` (or `0` if that’s `None`), the result is non-zero.

Instance methods:

`time.``replace`([hour[, minute[, second[, microsecond[, tzinfo]]]]])

  Return a `time` with the same value, except for those attributes given new values by whichever keyword arguments are specified. Note that `tzinfo=None` can be specified to create a naive `time` from an aware `time`, without conversion of the time data.

`time.``isoformat`()

  Return a string representing the time in ISO 8601 format, HH:MM:SS.mmmmmm or, if self.microsecond is 0, HH:MM:SS If `utcoffset()` does not return `None`, a 6-character string is appended, giving the UTC offset in (signed) hours and minutes: HH:MM:SS.mmmmmm+HH:MM or, if self.microsecond is 0, HH:MM:SS+HH:MM

`time.``__str__`()

  For a time t, `str(t)` is equivalent to `t.isoformat()`.

`time.``strftime`(format)

  Return a string representing the time, controlled by an explicit format string. For a complete list of formatting directives, see strftime() and strptime() Behavior.

`time.``__format__`(format)

  Same as `time.strftime()`. This makes it possible to specify format string for a `time` object when using `str.format()`. For a complete list of formatting directives, see strftime() and strptime() Behavior.

`time.``utcoffset`()

  If `tzinfo` is `None`, returns `None`, else returns `self.tzinfo.utcoffset(None)`, and raises an exception if the latter doesn’t return `None` or a `timedelta` object representing a whole number of minutes with magnitude less than one day.

`time.``dst`()

  If `tzinfo` is `None`, returns `None`, else returns `self.tzinfo.dst(None)`, and raises an exception if the latter doesn’t return `None`, or a `timedelta` object representing a whole number of minutes with magnitude less than one day.

`time.``tzname`()

  If `tzinfo` is `None`, returns `None`, else returns `self.tzinfo.tzname(None)`, or raises an exception if the latter doesn’t return `None` or a string object.

Example:

    >>> from datetime import time, tzinfo
    >>> class GMT1(tzinfo):
    ...     def utcoffset(self, dt):
    ...         return timedelta(hours=1)
    ...     def dst(self, dt):
    ...         return timedelta(0)
    ...     def tzname(self,dt):
    ...         return "Europe/Prague"
    ...
    >>> t = time(12, 10, 30, tzinfo=GMT1())
    >>> t
    datetime.time(12, 10, 30, tzinfo=<GMT1 object at 0x...>)
    >>> gmt = GMT1()
    >>> t.isoformat()
    '12:10:30+01:00'
    >>> t.dst()
    datetime.timedelta(0)
    >>> t.tzname()
    'Europe/Prague'
    >>> t.strftime("%H:%M:%S %Z")
    '12:10:30 Europe/Prague'
    >>> 'The {} is {:%H:%M}.'.format("time", t)
    'The time is 12:10.'

## 8.1.6. `tzinfo` Objects

`tzinfo` is an abstract base class, meaning that this class should not be instantiated directly. You need to derive a concrete subclass, and (at least) supply implementations of the standard `tzinfo` methods needed by the `datetime` methods you use. The `datetime` module supplies a simple concrete subclass of `tzinfo` `timezone` which can represent timezones with fixed offset from UTC such as UTC itself or North American EST and EDT.

An instance of (a concrete subclass of) `tzinfo` can be passed to the constructors for `datetime` and `time` objects. The latter objects view their attributes as being in local time, and the `tzinfo` object supports methods revealing offset of local time from UTC, the name of the time zone, and DST offset, all relative to a date or time object passed to them.

Special requirement for pickling: A `tzinfo` subclass must have an `__init__()` method that can be called with no arguments, else it can be pickled but possibly not unpickled again. This is a technical requirement that may be relaxed in the future.

A concrete subclass of `tzinfo` may need to implement the following methods. Exactly which methods are needed depends on the uses made of aware `datetime` objects. If in doubt, simply implement all of them.

`tzinfo.``utcoffset`(dt)

  Return offset of local time from UTC, in minutes east of UTC. If local time is west of UTC, this should be negative. Note that this is intended to be the total offset from UTC; for example, if a `tzinfo` object represents both time zone and DST adjustments, `utcoffset()` should return their sum. If the UTC offset isn’t known, return `None`. Else the value returned must be a `timedelta` object specifying a whole number of minutes in the range -1439 to 1439 inclusive (1440 = 24*60; the magnitude of the offset must be less than one day). Most implementations of `utcoffset()` will probably look like one of these two:

      return CONSTANT                 # fixed-offset class
      return CONSTANT + self.dst(dt)  # daylight-aware class

  If `utcoffset()` does not return `None`, `dst()` should not return `None` either.

  The default implementation of `utcoffset()` raises `NotImplementedError`.

`tzinfo.``dst`(dt)

  Return the daylight saving time (DST) adjustment, in minutes east of UTC, or `None` if DST information isn’t known. Return `timedelta(0)` if DST is not in effect. If DST is in effect, return the offset as a `timedelta` object (see `utcoffset()` for details). Note that DST offset, if applicable, has already been added to the UTC offset returned by `utcoffset()`, so there’s no need to consult `dst()` unless you’re interested in obtaining DST info separately. For example, `datetime.timetuple()` calls its `tzinfo` attribute’s `dst()` method to determine how the `tm_isdst` flag should be set, and `tzinfo.fromutc()` calls `dst()` to account for DST changes when crossing time zones.

  An instance tz of a `tzinfo` subclass that models both standard and daylight times must be consistent in this sense:

  `tz.utcoffset(dt) - tz.dst(dt)`

  must return the same result for every `datetime` dt with `dt.tzinfo == tz` For sane `tzinfo` subclasses, this expression yields the time zone’s “standard offset”, which should not depend on the date or the time, but only on geographic location. The implementation of `datetime.astimezone()` relies on this, but cannot detect violations; it’s the programmer’s responsibility to ensure it. If a `tzinfo` subclass cannot guarantee this, it may be able to override the default implementation of `tzinfo.fromutc()` to work correctly with `astimezone()` regardless.

  Most implementations of `dst()` will probably look like one of these two:

      def dst(self, dt):
          # a fixed-offset class:  doesn't account for DST
          return timedelta(0)

  or

      def dst(self, dt):
          # Code to set dston and dstoff to the time zone's DST
          # transition times based on the input dt.year, and expressed
          # in standard local time.  Then

          if dston <= dt.replace(tzinfo=None) < dstoff:
              return timedelta(hours=1)
          else:
              return timedelta(0)

  The default implementation of `dst()` raises `NotImplementedError`.

`tzinfo.``tzname`(dt)

  Return the time zone name corresponding to the `datetime` object dt, as a string. Nothing about string names is defined by the `datetime` module, and there’s no requirement that it mean anything in particular. For example, “GMT”, “UTC”, “-500”, “-5:00”, “EDT”, “US/Eastern”, “America/New York” are all valid replies. Return `None` if a string name isn’t known. Note that this is a method rather than a fixed string primarily because some `tzinfo` subclasses will wish to return different names depending on the specific value of dt passed, especially if the `tzinfo` class is accounting for daylight time.

  The default implementation of `tzname()` raises `NotImplementedError`.

These methods are called by a `datetime` or `time` object, in response to their methods of the same names. A `datetime` object passes itself as the argument, and a `time` object passes `None` as the argument. A `tzinfo` subclass’s methods should therefore be prepared to accept a dt argument of `None`, or of class `datetime`.

When `None` is passed, it’s up to the class designer to decide the best response. For example, returning `None` is appropriate if the class wishes to say that time objects don’t participate in the `tzinfo` protocols. It may be more useful for `utcoffset(None)` to return the standard UTC offset, as there is no other convention for discovering the standard offset.

When a `datetime` object is passed in response to a `datetime` method, `dt.tzinfo` is the same object as self. `tzinfo` methods can rely on this, unless user code calls `tzinfo` methods directly. The intent is that the `tzinfo` methods interpret dt as being in local time, and not need worry about objects in other timezones.

There is one more `tzinfo` method that a subclass may wish to override:

`tzinfo.``fromutc`(dt)

  This is called from the default `datetime.astimezone()` implementation. When called from that, `dt.tzinfo` is self, and dt‘s date and time data are to be viewed as expressing a UTC time. The purpose of `fromutc()` is to adjust the date and time data, returning an equivalent datetime in self‘s local time.

  Most `tzinfo` subclasses should be able to inherit the default `fromutc()` implementation without problems. It’s strong enough to handle fixed-offset time zones, and time zones accounting for both standard and daylight time, and the latter even if the DST transition times differ in different years. An example of a time zone the default `fromutc()` implementation may not handle correctly in all cases is one where the standard offset (from UTC) depends on the specific date and time passed, which can happen for political reasons. The default implementations of `astimezone()` and `fromutc()` may not produce the result you want if the result is one of the hours straddling the moment the standard offset changes.

  Skipping code for error cases, the default `fromutc()` implementation acts like:

      def fromutc(self, dt):
          # raise ValueError error if dt.tzinfo is not self
          dtoff = dt.utcoffset()
          dtdst = dt.dst()
          # raise ValueError if dtoff is None or dtdst is None
          delta = dtoff - dtdst  # this is self's standard offset
          if delta:
              dt += delta   # convert to standard local time
              dtdst = dt.dst()
              # raise ValueError if dtdst is None
          if dtdst:
              return dt + dtdst
          else:
              return dt

Example `tzinfo` classes:

    from datetime import tzinfo, timedelta, datetime

    ZERO = timedelta(0)
    HOUR = timedelta(hours=1)

    # A UTC class.

    class UTC(tzinfo):
        """UTC"""

        def utcoffset(self, dt):
            return ZERO

        def tzname(self, dt):
            return "UTC"

        def dst(self, dt):
            return ZERO

    utc = UTC()

    # A class building tzinfo objects for fixed-offset time zones.
    # Note that FixedOffset(0, "UTC") is a different way to build a
    # UTC tzinfo object.

    class FixedOffset(tzinfo):
        """Fixed offset in minutes east from UTC."""

        def __init__(self, offset, name):
            self.__offset = timedelta(minutes=offset)
            self.__name = name

        def utcoffset(self, dt):
            return self.__offset

        def tzname(self, dt):
            return self.__name

        def dst(self, dt):
            return ZERO

    # A class capturing the platform's idea of local time.

    import time as _time

    STDOFFSET = timedelta(seconds = -_time.timezone)
    if _time.daylight:
        DSTOFFSET = timedelta(seconds = -_time.altzone)
    else:
        DSTOFFSET = STDOFFSET

    DSTDIFF = DSTOFFSET - STDOFFSET

    class LocalTimezone(tzinfo):

        def utcoffset(self, dt):
            if self._isdst(dt):
                return DSTOFFSET
            else:
                return STDOFFSET

        def dst(self, dt):
            if self._isdst(dt):
                return DSTDIFF
            else:
                return ZERO

        def tzname(self, dt):
            return _time.tzname[self._isdst(dt)]

        def _isdst(self, dt):
            tt = (dt.year, dt.month, dt.day,
                  dt.hour, dt.minute, dt.second,
                  dt.weekday(), 0, 0)
            stamp = _time.mktime(tt)
            tt = _time.localtime(stamp)
            return tt.tm_isdst > 0

    Local = LocalTimezone()

    # A complete implementation of current DST rules for major US time zones.

    def first_sunday_on_or_after(dt):
        days_to_go = 6 - dt.weekday()
        if days_to_go:
            dt += timedelta(days_to_go)
        return dt

    # US DST Rules
    #
    # This is a simplified (i.e., wrong for a few cases) set of rules for US
    # DST start and end times. For a complete and up-to-date set of DST rules
    # and timezone definitions, visit the Olson Database (or try pytz):
    # http://www.twinsun.com/tz/tz-link.htm
    # http://sourceforge.net/projects/pytz/ (might not be up-to-date)
    #
    # In the US, since 2007, DST starts at 2am (standard time) on the second
    # Sunday in March, which is the first Sunday on or after Mar 8.
    DSTSTART_2007 = datetime(1, 3, 8, 2)
    # and ends at 2am (DST time; 1am standard time) on the first Sunday of Nov.
    DSTEND_2007 = datetime(1, 11, 1, 1)
    # From 1987 to 2006, DST used to start at 2am (standard time) on the first
    # Sunday in April and to end at 2am (DST time; 1am standard time) on the last
    # Sunday of October, which is the first Sunday on or after Oct 25.
    DSTSTART_1987_2006 = datetime(1, 4, 1, 2)
    DSTEND_1987_2006 = datetime(1, 10, 25, 1)
    # From 1967 to 1986, DST used to start at 2am (standard time) on the last
    # Sunday in April (the one on or after April 24) and to end at 2am (DST time;
    # 1am standard time) on the last Sunday of October, which is the first Sunday
    # on or after Oct 25.
    DSTSTART_1967_1986 = datetime(1, 4, 24, 2)
    DSTEND_1967_1986 = DSTEND_1987_2006

    class USTimeZone(tzinfo):

        def __init__(self, hours, reprname, stdname, dstname):
            self.stdoffset = timedelta(hours=hours)
            self.reprname = reprname
            self.stdname = stdname
            self.dstname = dstname

        def __repr__(self):
            return self.reprname

        def tzname(self, dt):
            if self.dst(dt):
                return self.dstname
            else:
                return self.stdname

        def utcoffset(self, dt):
            return self.stdoffset + self.dst(dt)

        def dst(self, dt):
            if dt is None or dt.tzinfo is None:
                # An exception may be sensible here, in one or both cases.
                # It depends on how you want to treat them.  The default
                # fromutc() implementation (called by the default astimezone()
                # implementation) passes a datetime with dt.tzinfo is self.
                return ZERO
            assert dt.tzinfo is self

            # Find start and end times for US DST. For years before 1967, return
            # ZERO for no DST.
            if 2006 < dt.year:
                dststart, dstend = DSTSTART_2007, DSTEND_2007
            elif 1986 < dt.year < 2007:
                dststart, dstend = DSTSTART_1987_2006, DSTEND_1987_2006
            elif 1966 < dt.year < 1987:
                dststart, dstend = DSTSTART_1967_1986, DSTEND_1967_1986
            else:
                return ZERO

            start = first_sunday_on_or_after(dststart.replace(year=dt.year))
            end = first_sunday_on_or_after(dstend.replace(year=dt.year))

            # Can't compare naive to aware objects, so strip the timezone from
            # dt first.
            if start <= dt.replace(tzinfo=None) < end:
                return HOUR
            else:
                return ZERO

    Eastern  = USTimeZone(-5, "Eastern",  "EST", "EDT")
    Central  = USTimeZone(-6, "Central",  "CST", "CDT")
    Mountain = USTimeZone(-7, "Mountain", "MST", "MDT")
    Pacific  = USTimeZone(-8, "Pacific",  "PST", "PDT")

Note that there are unavoidable subtleties twice per year in a `tzinfo` subclass accounting for both standard and daylight time, at the DST transition points. For concreteness, consider US Eastern (UTC -0500), where EDT begins the minute after 1:59 (EST) on the second Sunday in March, and ends the minute after 1:59 (EDT) on the first Sunday in November:

      UTC   3:MM  4:MM  5:MM  6:MM  7:MM  8:MM
      EST  22:MM 23:MM  0:MM  1:MM  2:MM  3:MM
      EDT  23:MM  0:MM  1:MM  2:MM  3:MM  4:MM

    start  22:MM 23:MM  0:MM  1:MM  3:MM  4:MM

      end  23:MM  0:MM  1:MM  1:MM  2:MM  3:MM

When DST starts (the “start” line), the local wall clock leaps from 1:59 to 3:00. A wall time of the form 2:MM doesn’t really make sense on that day, so `astimezone(Eastern)` won’t deliver a result with `hour == 2` on the day DST begins. In order for `astimezone()` to make this guarantee, the `tzinfo.dst()` method must consider times in the “missing hour” (2:MM for Eastern) to be in daylight time.

When DST ends (the “end” line), there’s a potentially worse problem: there’s an hour that can’t be spelled unambiguously in local wall time: the last hour of daylight time. In Eastern, that’s times of the form 5:MM UTC on the day daylight time ends. The local wall clock leaps from 1:59 (daylight time) back to 1:00 (standard time) again. Local times of the form 1:MM are ambiguous. `astimezone()` mimics the local clock’s behavior by mapping two adjacent UTC hours into the same local hour then. In the Eastern example, UTC times of the form 5:MM and 6:MM both map to 1:MM when converted to Eastern. In order for `astimezone()` to make this guarantee, the `tzinfo.dst()` method must consider times in the “repeated hour” to be in standard time. This is easily arranged, as in the example, by expressing DST switch times in the time zone’s standard local time.

Applications that can’t bear such ambiguities should avoid using hybrid `tzinfo` subclasses; there are no ambiguities when using `timezone`, or any other fixed-offset `tzinfo` subclass (such as a class representing only EST (fixed offset -5 hours), or only EDT (fixed offset -4 hours)).

See also

pytz

  The standard library has `timezone` class for handling arbitrary fixed offsets from UTC and `timezone.utc` as UTC timezone instance.

  pytz library brings the IANA timezone database (also known as the Olson database) to Python and its usage is recommended.

IANA timezone database
  The Time Zone Database (often called tz or zoneinfo) contains code and data that represent the history of local time for many representative locations around the globe. It is updated periodically to reflect changes made by political bodies to time zone boundaries, UTC offsets, and daylight-saving rules.

## 8.1.7. `timezone` Objects

The `timezone` class is a subclass of `tzinfo`, each instance of which represents a timezone defined by a fixed offset from UTC. Note that objects of this class cannot be used to represent timezone information in the locations where different offsets are used in different days of the year or where historical changes have been made to civil time.

class `datetime.``timezone`(offset[, name])

  The offset argument must be specified as a `timedelta` object representing the difference between the local time and UTC. It must be strictly between `-timedelta(hours=24)` and `timedelta(hours=24)` and represent a whole number of minutes, otherwise `ValueError` is raised.

  The name argument is optional. If specified it must be a string that is used as the value returned by the `tzname(dt)` method. Otherwise, `tzname(dt)` returns a string ‘UTCsHH:MM’, where s is the sign of offset, HH and MM are two digits of `offset.hours` and `offset.minutes` respectively.

  New in version 3.2.

`timezone.``utcoffset`(dt)

  Return the fixed value specified when the `timezone` instance is constructed. The dt argument is ignored. The return value is a `timedelta` instance equal to the difference between the local time and UTC.

`timezone.``tzname`(dt)

  Return the fixed value specified when the `timezone` instance is constructed or a string ‘UTCsHH:MM’, where s is the sign of offset, HH and MM are two digits of `offset.hours` and `offset.minutes` respectively.

`timezone.``dst`(dt)

  Always returns `None`.

`timezone.``fromutc`(dt)

  Return `dt + offset`. The dt argument must be an aware `datetime` instance, with `tzinfo` set to `self`.

Class attributes:

`timezone.``utc`

  The UTC timezone, `timezone(timedelta(0))`.

## 8.1.8. `strftime()` and `strptime()` Behavior

`date`, `datetime`, and `time` objects all support a `strftime(format)` method, to create a string representing the time under the control of an explicit format string. Broadly speaking, `d.strftime(fmt)` acts like the `time` module’s `time.strftime(fmt, d.timetuple())` although not all objects support a `timetuple()` method.

Conversely, the `datetime.strptime()` class method creates a `datetime` object from a string representing a date and time and a corresponding format string. `datetime.strptime(date_string, format)` is equivalent to `datetime(*(time.strptime(date_string, format)[0:6]))`.

For `time` objects, the format codes for year, month, and day should not be used, as time objects have no such values. If they’re used anyway, `1900` is substituted for the year, and `1` for the month and day.

For `date` objects, the format codes for hours, minutes, seconds, and microseconds should not be used, as `date` objects have no such values. If they’re used anyway, `0` is substituted for them.

The full set of format codes supported varies across platforms, because Python calls the platform C library’s `strftime()` function, and platform variations are common. To see the full set of format codes supported on your platform, consult the strftime(3) documentation.

The following is a list of all the format codes that the C standard (1989 version) requires, and these work on all platforms with a standard C implementation. Note that the 1999 version of the C standard added additional format codes.

Directive | Meaning | Example | Notes
--- | --- | --- | ---
`%a` | Weekday as locale’s abbreviated name. | Sun, Mon, ..., Sat (en_US); So, Mo, ..., Sa (de_DE) | (1)
`%A` | Weekday as locale’s full name. | Sunday, Monday, ..., Saturday (en_US); Sonntag, Montag, ..., Samstag (de_DE) | (1)
`%w` | Weekday as a decimal number, where 0 is Sunday and 6 is Saturday. | 0, 1, ..., 6 |
`%d` | Day of the month as a zero-padded decimal number. | 01, 02, ..., 31 |
`%b` | Month as locale’s abbreviated name. | Jan, Feb, ..., Dec (en_US); Jan, Feb, ..., Dez (de_DE) | (1)
`%B` | Month as locale’s full name. | January, February, ..., December (en_US); Januar, Februar, ..., Dezember (de_DE) | (1)
`%m` | Month as a zero-padded decimal number. | 01, 02, ..., 12 |
`%y` | Year without century as a zero-padded decimal number. | 00, 01, ..., 99 |
`%Y` | Year with century as a decimal number. | 0001, 0002, ..., 2013, 2014, ..., 9998, 9999 | (2)
`%H` | Hour (24-hour clock) as a zero-padded decimal number. | 00, 01, ..., 23 |
`%I` | Hour (12-hour clock) as a zero-padded decimal number. | 01, 02, ..., 12 |
`%p` | Locale’s equivalent of either AM or PM. | AM, PM (en_US); am, pm (de_DE) | (1), (3)
`%M` | Minute as a zero-padded decimal number. | 00, 01, ..., 59 |
`%S` | Second as a zero-padded decimal number. | 00, 01, ..., 59 | (4)
`%f` | Microsecond as a decimal number, zero-padded on the left. | 000000, 000001, ..., 999999 | (5)
`%z` | UTC offset in the form +HHMM or -HHMM (empty string if the the object is naive). | (empty), +0000, -0400, +1030 | (6)
`%Z` | Time zone name (empty string if the object is naive). | (empty), UTC, EST, CST |
`%j` | Day of the year as a zero-padded decimal number. | 001, 002, ..., 366 |
`%U` | Week number of the year (Sunday as the first day of the week) as a zero padded decimal number. All days in a new year preceding the first Sunday are considered to be in week 0. | 00, 01, ..., 53 | (7)
`%W` | Week number of the year (Monday as the first day of the week) as a decimal number. All days in a new year preceding the first Monday are considered to be in week 0. | 00, 01, ..., 53 | (7)
`%c` | Locale’s appropriate date and time representation. | Tue Aug 16 21:30:00 1988 (en_US); Di 16 Aug 21:30:00 1988 (de_DE) | (1)
`%x` | Locale’s appropriate date representation. | 08/16/88 (None); 08/16/1988 (en_US); 16.08.1988 (de_DE) | (1)
`%X` | Locale’s appropriate time representation. | 21:30:00 (en_US); 21:30:00 (de_DE) | (1)
`%%` | A literal `'%'` character. | % |

Notes:

1. Because the format depends on the current locale, care should be taken when making assumptions about the output value. Field orderings will vary (for example, “month/day/year” versus “day/month/year”), and the output may contain Unicode characters encoded using the locale’s default encoding (for example, if the current locale is `ja_JP`, the default encoding could be any one of `eucJP`, `SJIS`, or `utf-8`; use `locale.getlocale()` to determine the current locale’s encoding).

2. The `strptime()` method can parse years in the full [1, 9999] range, but years < 1000 must be zero-filled to 4-digit width.

   Changed in version 3.2: In previous versions, `strftime()` method was restricted to years >= 1900.

   Changed in version 3.3: In version 3.2, `strftime()` method was restricted to years >= 1000.

3. When used with the `strptime()` method, the `%p` directive only affects the output hour field if the `%I` directive is used to parse the hour.

4. Unlike the `time` module, the `datetime` module does not support leap seconds.

5. When used with the `strptime()` method, the `%f` directive accepts from one to six digits and zero pads on the right. `%f` is an extension to the set of format characters in the C standard (but implemented separately in datetime objects, and therefore always available).

6. For a naive object, the `%z` and `%Z` format codes are replaced by empty strings.

   For an aware object:

   `%z`

     `utcoffset()` is transformed into a 5-character string of the form +HHMM or -HHMM, where HH is a 2-digit string giving the number of UTC offset hours, and MM is a 2-digit string giving the number of UTC offset minutes. For example, if `utcoffset()` returns `timedelta(hours=-3, minutes=-30)`, `%z` is replaced with the string `'-0330'`.

   `%Z`

     If `tzname()` returns `None`, `%Z` is replaced by an empty string. Otherwise `%Z` is replaced by the returned value, which must be a string.

   Changed in version 3.2: When the `%z` directive is provided to the `strptime()` method, an aware `datetime` object will be produced. The `tzinfo` of the result will be set to a `timezone` instance.

7. When used with the `strptime()` method, `%U` and `%W` are only used in calculations when the day of the week and the year are specified.

Footnotes

[1] | If, that is, we ignore the effects of Relativity