
``datetime`` --- Basic date and time types
******************************************

New in version 2.3.

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 member
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".
This distinction refers to whether the object has any notion of time
zone, daylight saving time, or other kind of algorithmic or political
time adjustment.  Whether a naive ``datetime`` object represents
Coordinated Universal Time (UTC), local time, or time in some other
timezone is purely up to the program, just like it's up to the program
whether a particular number represents metres, miles, or mass.  Naive
``datetime`` objects are easy to understand and to work with, at the
cost of ignoring some aspects of reality.

For applications requiring more, ``datetime`` and ``time`` objects
have an optional time zone information member, ``tzinfo``, that can
contain 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 no concrete ``tzinfo`` classes are supplied by the
``datetime`` module. Supporting timezones at whatever level of detail
is required is up to the application.  The rules for time adjustment
across the world are more political than rational, and there is no
standard suitable for every application.

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.


Available Types
===============

class 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 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 class datetime.datetime

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

class class datetime.timedelta

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

class 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).

Objects of these types are immutable.

Objects of the ``date`` type are always naive.

An object *d* of type ``time`` or ``datetime`` may be naive or aware.
*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.

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

Subclass relationships:

   object
       timedelta
       tzinfo
       time
       date
           datetime


``timedelta`` Objects
=====================

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

class class datetime.timedelta([days[, seconds[, microseconds[, milliseconds[, minutes[, hours[, weeks]]]]]]])

   All arguments are optional and default to ``0``.  Arguments may be
   ints, longs, 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.  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 or long.         |
|                                  | Afterwards *t1* // i == *t2* is true, provided  |
|                                  | ``i != 0``.                                     |
+----------------------------------+-------------------------------------------------+
|                                  | In general, *t1* * i == *t1* * (i-1) + *t1* is  |
|                                  | true. (1)                                       |
+----------------------------------+-------------------------------------------------+
| ``t1 = t2 // i``                 | The floor is computed and the remainder (if     |
|                                  | any) is thrown away. (3)                        |
+----------------------------------+-------------------------------------------------+
| ``+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)                   |
+----------------------------------+-------------------------------------------------+

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.

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

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)``.

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 == 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


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

   All arguments are required.  Arguments may be ints or longs, 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:

date.today()

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

date.fromtimestamp(timestamp)

   Return the local date corresponding to the POSIX timestamp, such as
   is returned by ``time.time()``.  This may raise ``ValueError``, if
   the timestamp is out of the range of values supported by the
   platform C ``localtime`` function. 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()``.

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 members 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(),
   d.toordinal() - date(d.year, 1, 1).toordinal() + 1, -1))``

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.phys.uu.nl/ vgent/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. See section *strftime() 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'


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

   The year, month and day arguments are required.  *tzinfo* may be
   ``None``, or an instance of a ``tzinfo`` subclass.  The remaining
   arguments may be ints or longs, 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:

datetime.today()

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

datetime.now([tz])

   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()``.

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. See also ``now()``.

datetime.fromtimestamp(timestamp[, tz])

   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(time
   stamp).replace(tzinfo=tz))``.

   ``fromtimestamp()`` may raise ``ValueError``, if the timestamp is
   out of the range of values supported by the platform C
   ``localtime`` or ``gmtime`` functions.  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()``.

datetime.utcfromtimestamp(timestamp)

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

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``.

datetime.combine(date, time)

   Return a new ``datetime`` object whose date members are equal to
   the given ``date`` object's, and whose time and ``tzinfo`` members
   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 and ``tzinfo`` members are
   ignored.

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.

   New in version 2.5.

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

   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 members.  See also method ``time()``.

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

   Return a datetime with the same members, except for those members
   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
   members.

datetime.astimezone(tz)

   Return a ``datetime`` object with new ``tzinfo`` member *tz*,
   adjusting the date and time members so the result is the same UTC
   time as *self*, but in *tz*'s local time.

   *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 ``self.tzinfo`` is *tz*, ``self.astimezone(tz)`` is equal to
   *self*:  no adjustment of date or time members 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 members
   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 members, 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 members, 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)

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(), d.toordinal() - date(d.year, 1,
   1).toordinal() + 1, dst))`` 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 the
   result's ``tm_year`` member may be ``MINYEAR``-1 or ``MAXYEAR``+1,
   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.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])

   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.  See section *strftime() 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'

Using datetime with tzinfo:

>>> from datetime import timedelta, datetime, tzinfo
>>> class GMT1(tzinfo):
...     def __init__(self):         # 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)
...     def utcoffset(self, dt):
...         return timedelta(hours=1) + self.dst(dt)
...     def dst(self, dt):
...         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 __init__(self):
...         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)
...     def utcoffset(self, dt):
...         return timedelta(hours=1) + self.dst(dt)
...     def dst(self, dt):
...         if self.dston <=  dt.replace(tzinfo=None) < self.dstoff:
...             return timedelta(hours=2)
...         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     # doctest: +ELLIPSIS
datetime.datetime(2006, 6, 14, 14, 0, tzinfo=<GMT2 object at 0x...>)
>>> dt2     # doctest: +ELLIPSIS
datetime.datetime(2006, 6, 14, 13, 0, tzinfo=<GMT1 object at 0x...>)
>>> dt2.utctimetuple() == dt3.utctimetuple()
True


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

   All arguments are optional.  *tzinfo* may be ``None``, or an
   instance of a ``tzinfo`` subclass.  The remaining arguments may be
   ints or longs, 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 both comparands
  are aware, and have the same ``tzinfo`` member, the common
  ``tzinfo`` member is ignored and the base times are compared.  If
  both comparands are aware and have different ``tzinfo`` members, 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.

* 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 members
   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
   members.

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. See section *strftime() 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                               # doctest: +ELLIPSIS
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'


``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 does not supply any concrete subclasses of ``tzinfo``.

An instance of (a concrete subclass of) ``tzinfo`` can be passed to
the constructors for ``datetime`` and ``time`` objects. The latter
objects view their members 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(self, 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(self, 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`` member'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):
          # a fixed-offset class:  doesn't account for DST
          return timedelta(0)

   or

      def dst(self):
          # 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(self, 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(self, dt)

   This is called from the default ``datetime.astimezone()``
   implementation. When called from that, ``dt.tzinfo`` is *self*, and
   *dt*'s date and time members are to be viewed as expressing a UTC
   time.  The purpose of ``fromutc()`` is to adjust the date and time
   members, 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, -1)
           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 first
Sunday in April, and ends the minute after 1:59 (EDT) on the last
Sunday in October:

     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 ``rzinfo.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 UTC,
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)).


``strftime()`` 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.

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 ``0`` 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.

New in version 2.6: ``time`` and ``datetime`` objects support a ``%f``
format code which expands to the number of microseconds in the object,
zero-padded on the left to six places.

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.

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.

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.

The exact range of years for which ``strftime()`` works also varies
across platforms.  Regardless of platform, years before 1900 cannot be
used.

+-------------+----------------------------------+---------+
| Directive   | Meaning                          | Notes   |
+=============+==================================+=========+
| ``%a``      | Locale's abbreviated weekday     |         |
|             | name.                            |         |
+-------------+----------------------------------+---------+
| ``%A``      | Locale's full weekday name.      |         |
+-------------+----------------------------------+---------+
| ``%b``      | Locale's abbreviated month name. |         |
+-------------+----------------------------------+---------+
| ``%B``      | Locale's full month name.        |         |
+-------------+----------------------------------+---------+
| ``%c``      | Locale's appropriate date and    |         |
|             | time representation.             |         |
+-------------+----------------------------------+---------+
| ``%d``      | Day of the month as a decimal    |         |
|             | number [01,31].                  |         |
+-------------+----------------------------------+---------+
| ``%f``      | Microsecond as a decimal number  | (1)     |
|             | [0,999999], zero-padded on the   |         |
|             | left                             |         |
+-------------+----------------------------------+---------+
| ``%H``      | Hour (24-hour clock) as a        |         |
|             | decimal number [00,23].          |         |
+-------------+----------------------------------+---------+
| ``%I``      | Hour (12-hour clock) as a        |         |
|             | decimal number [01,12].          |         |
+-------------+----------------------------------+---------+
| ``%j``      | Day of the year as a decimal     |         |
|             | number [001,366].                |         |
+-------------+----------------------------------+---------+
| ``%m``      | Month as a decimal number        |         |
|             | [01,12].                         |         |
+-------------+----------------------------------+---------+
| ``%M``      | Minute as a decimal number       |         |
|             | [00,59].                         |         |
+-------------+----------------------------------+---------+
| ``%p``      | Locale's equivalent of either AM | (2)     |
|             | or PM.                           |         |
+-------------+----------------------------------+---------+
| ``%S``      | Second as a decimal number       | (3)     |
|             | [00,61].                         |         |
+-------------+----------------------------------+---------+
| ``%U``      | Week number of the year (Sunday  | (4)     |
|             | as the first day of the week) as |         |
|             | a decimal number [00,53].  All   |         |
|             | days in a new year preceding the |         |
|             | first Sunday are considered to   |         |
|             | be in week 0.                    |         |
+-------------+----------------------------------+---------+
| ``%w``      | Weekday as a decimal number      |         |
|             | [0(Sunday),6].                   |         |
+-------------+----------------------------------+---------+
| ``%W``      | Week number of the year (Monday  | (4)     |
|             | as the first day of the week) as |         |
|             | a decimal number [00,53].  All   |         |
|             | days in a new year preceding the |         |
|             | first Monday are considered to   |         |
|             | be in week 0.                    |         |
+-------------+----------------------------------+---------+
| ``%x``      | Locale's appropriate date        |         |
|             | representation.                  |         |
+-------------+----------------------------------+---------+
| ``%X``      | Locale's appropriate time        |         |
|             | representation.                  |         |
+-------------+----------------------------------+---------+
| ``%y``      | Year without century as a        |         |
|             | decimal number [00,99].          |         |
+-------------+----------------------------------+---------+
| ``%Y``      | Year with century as a decimal   |         |
|             | number.                          |         |
+-------------+----------------------------------+---------+
| ``%z``      | UTC offset in the form +HHMM or  | (5)     |
|             | -HHMM (empty string if the the   |         |
|             | object is naive).                |         |
+-------------+----------------------------------+---------+
| ``%Z``      | Time zone name (empty string if  |         |
|             | the object is naive).            |         |
+-------------+----------------------------------+---------+
| ``%%``      | A literal ``'%'`` character.     |         |
+-------------+----------------------------------+---------+

Notes:

1. When used with the ``strptime()`` function, 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).

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

3. The range really is ``0`` to ``61``; according to the Posix
   standard this accounts for leap seconds and the (very rare) double
   leap seconds. The ``time`` module may produce and does accept leap
   seconds since it is based on the Posix standard, but the
   ``datetime`` module does not accept leap seconds in ``strptime()``
   input nor will it produce them in ``strftime()`` output.

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

5. For example, if ``utcoffset()`` returns ``timedelta(hours=-3,
   minutes=-30)``, ``%z`` is replaced with the string ``'-0330'``.
