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//usr/lib/python2.4/site-packages/dateutil/relativedelta.py

"""
Copyright (c) 2003-2005  Gustavo Niemeyer <gustavo@niemeyer.net>

This module offers extensions to the standard python 2.3+
datetime module.
"""
__author__ = "Gustavo Niemeyer <gustavo@niemeyer.net>"
__license__ = "PSF License"

import datetime
import calendar

__all__ = ["relativedelta", "MO", "TU", "WE", "TH", "FR", "SA", "SU"]

class weekday(object):
    __slots__ = ["weekday", "n"]

def __init__(self, weekday, n=None):
        self.weekday = weekday
        self.n = n

def __call__(self, n):
        if n == self.n:
            return self
        else:
            return self.__class__(self.weekday, n)

def __eq__(self, other):
        try:
            if self.weekday != other.weekday or self.n != other.n:
                return False
        except AttributeError:
            return False
        return True

def __repr__(self):
        s = ("MO", "TU", "WE", "TH", "FR", "SA", "SU")[self.weekday]
        if not self.n:
            return s
        else:
            return "%s(%+d)" % (s, self.n)

MO, TU, WE, TH, FR, SA, SU = weekdays = tuple([weekday(x) for x in range(7)])

class relativedelta:
    """
The relativedelta type is based on the specification of the excelent
work done by M.-A. Lemburg in his mx.DateTime extension. However,
notice that this type does *NOT* implement the same algorithm as
his work. Do *NOT* expect it to behave like mx.DateTime's counterpart.

There's two different ways to build a relativedelta instance. The
first one is passing it two date/datetime classes:

relativedelta(datetime1, datetime2)

And the other way is to use the following keyword arguments:

year, month, day, hour, minute, second, microsecond:
        Absolute information.

years, months, weeks, days, hours, minutes, seconds, microseconds:
        Relative information, may be negative.

weekday:
        One of the weekday instances (MO, TU, etc). These instances may
        receive a parameter N, specifying the Nth weekday, which could
        be positive or negative (like MO(+1) or MO(-2). Not specifying
        it is the same as specifying +1. You can also use an integer,
        where 0=MO.

leapdays:
        Will add given days to the date found, if year is a leap
        year, and the date found is post 28 of february.

yearday, nlyearday:
        Set the yearday or the non-leap year day (jump leap days).
        These are converted to day/month/leapdays information.

Here is the behavior of operations with relativedelta:

1) Calculate the absolute year, using the 'year' argument, or the
   original datetime year, if the argument is not present.

2) Add the relative 'years' argument to the absolute year.

3) Do steps 1 and 2 for month/months.

4) Calculate the absolute day, using the 'day' argument, or the
   original datetime day, if the argument is not present. Then,
   subtract from the day until it fits in the year and month
   found after their operations.

5) Add the relative 'days' argument to the absolute day. Notice
   that the 'weeks' argument is multiplied by 7 and added to
   'days'.

6) Do steps 1 and 2 for hour/hours, minute/minutes, second/seconds,
   microsecond/microseconds.

7) If the 'weekday' argument is present, calculate the weekday,
   with the given (wday, nth) tuple. wday is the index of the
   weekday (0-6, 0=Mon), and nth is the number of weeks to add
   forward or backward, depending on its signal. Notice that if
   the calculated date is already Monday, for example, using
   (0, 1) or (0, -1) won't change the day.
    """

def __init__(self, dt1=None, dt2=None,
                 years=0, months=0, days=0, leapdays=0, weeks=0,
                 hours=0, minutes=0, seconds=0, microseconds=0,
                 year=None, month=None, day=None, weekday=None,
                 yearday=None, nlyearday=None,
                 hour=None, minute=None, second=None, microsecond=None):
        if dt1 and dt2:
            if not isinstance(dt1, datetime.date) or \
               not isinstance(dt2, datetime.date):
                raise TypeError, "relativedelta only diffs datetime/date"
            if type(dt1) is not type(dt2):
                if not isinstance(dt1, datetime.datetime):
                    dt1 = datetime.datetime.fromordinal(dt1.toordinal())
                elif not isinstance(dt2, datetime.datetime):
                    dt2 = datetime.datetime.fromordinal(dt2.toordinal())
            self.years = 0
            self.months = 0
            self.days = 0
            self.leapdays = 0
            self.hours = 0
            self.minutes = 0
            self.seconds = 0
            self.microseconds = 0
            self.year = None
            self.month = None
            self.day = None
            self.weekday = None
            self.hour = None
            self.minute = None
            self.second = None
            self.microsecond = None
            self._has_time = 0

months = (dt1.year*12+dt1.month)-(dt2.year*12+dt2.month)
            self._set_months(months)
            dtm = self.__radd__(dt2)
            if dt1 < dt2:
                while dt1 > dtm:
                    months += 1
                    self._set_months(months)
                    dtm = self.__radd__(dt2)
            else:
                while dt1 < dtm:
                    months -= 1
                    self._set_months(months)
                    dtm = self.__radd__(dt2)
            delta = dt1 - dtm
            self.seconds = delta.seconds+delta.days*86400
            self.microseconds = delta.microseconds
        else:
            self.years = years
            self.months = months
            self.days = days+weeks*7
            self.leapdays = leapdays
            self.hours = hours
            self.minutes = minutes
            self.seconds = seconds
            self.microseconds = microseconds
            self.year = year
            self.month = month
            self.day = day
            self.hour = hour
            self.minute = minute
            self.second = second
            self.microsecond = microsecond

if type(weekday) is int:
                self.weekday = weekdays[weekday]
            else:
                self.weekday = weekday

yday = 0
            if nlyearday:
                yday = nlyearday
            elif yearday:
                yday = yearday
                if yearday > 59:
                    self.leapdays = -1
            if yday:
                ydayidx = [31,59,90,120,151,181,212,243,273,304,334,366]
                for idx, ydays in enumerate(ydayidx):
                    if yday <= ydays:
                        self.month = idx+1
                        if idx == 0:
                            self.day = ydays
                        else:
                            self.day = yday-ydayidx[idx-1]
                        break
                else:
                    raise ValueError, "invalid year day (%d)" % yday

self._fix()

def _fix(self):
        if abs(self.microseconds) > 999999:
            s = self.microseconds/abs(self.microseconds)
            div, mod = divmod(self.microseconds*s, 1000000)
            self.microseconds = mod*s
            self.seconds += div*s
        if abs(self.seconds) > 59:
            s = self.seconds/abs(self.seconds)
            div, mod = divmod(self.seconds*s, 60)
            self.seconds = mod*s
            self.minutes += div*s
        if abs(self.minutes) > 59:
            s = self.minutes/abs(self.minutes)
            div, mod = divmod(self.minutes*s, 60)
            self.minutes = mod*s
            self.hours += div*s
        if abs(self.hours) > 23:
            s = self.hours/abs(self.hours)
            div, mod = divmod(self.hours*s, 24)
            self.hours = mod*s
            self.days += div*s
        if abs(self.months) > 11:
            s = self.months/abs(self.months)
            div, mod = divmod(self.months*s, 12)
            self.months = mod*s
            self.years += div*s
        if (self.hours or self.minutes or self.seconds or self.microseconds or
            self.hour is not None or self.minute is not None or
            self.second is not None or self.microsecond is not None):
            self._has_time = 1
        else:
            self._has_time = 0

def _set_months(self, months):
        self.months = months
        if abs(self.months) > 11:
            s = self.months/abs(self.months)
            div, mod = divmod(self.months*s, 12)
            self.months = mod*s
            self.years = div*s
        else:
            self.years = 0

def __radd__(self, other):
        if not isinstance(other, datetime.date):
            raise TypeError, "unsupported type for add operation"
        elif self._has_time and not isinstance(other, datetime.datetime):
            other = datetime.datetime.fromordinal(other.toordinal())
        year = (self.year or other.year)+self.years
        month = self.month or other.month
        if self.months:
            assert 1 <= abs(self.months) <= 12
            month += self.months
            if month > 12:
                year += 1
                month -= 12
            elif month < 1:
                year -= 1
                month += 12
        day = min(calendar.monthrange(year, month)[1],
                  self.day or other.day)
        repl = {"year": year, "month": month, "day": day}
        for attr in ["hour", "minute", "second", "microsecond"]:
            value = getattr(self, attr)
            if value is not None:
                repl[attr] = value
        days = self.days
        if self.leapdays and month > 2 and calendar.isleap(year):
            days += self.leapdays
        ret = (other.replace(**repl)
               + datetime.timedelta(days=days,
                                    hours=self.hours,
                                    minutes=self.minutes,
                                    seconds=self.seconds,
                                    microseconds=self.microseconds))
        if self.weekday:
            weekday, nth = self.weekday.weekday, self.weekday.n or 1
            jumpdays = (abs(nth)-1)*7
            if nth > 0:
                jumpdays += (7-ret.weekday()+weekday)%7
            else:
                jumpdays += (ret.weekday()-weekday)%7
                jumpdays *= -1
            ret += datetime.timedelta(days=jumpdays)
        return ret

def __rsub__(self, other):
        return self.__neg__().__radd__(other)

def __add__(self, other):
        if not isinstance(other, relativedelta):
            raise TypeError, "unsupported type for add operation"
        return relativedelta(years=other.years+self.years,
                             months=other.months+self.months,
                             days=other.days+self.days,
                             hours=other.hours+self.hours,
                             minutes=other.minutes+self.minutes,
                             seconds=other.seconds+self.seconds,
                             microseconds=other.microseconds+self.microseconds,
                             leapdays=other.leapdays or self.leapdays,
                             year=other.year or self.year,
                             month=other.month or self.month,
                             day=other.day or self.day,
                             weekday=other.weekday or self.weekday,
                             hour=other.hour or self.hour,
                             minute=other.minute or self.minute,
                             second=other.second or self.second,
                             microsecond=other.second or self.microsecond)

def __sub__(self, other):
        if not isinstance(other, relativedelta):
            raise TypeError, "unsupported type for sub operation"
        return relativedelta(years=other.years-self.years,
                             months=other.months-self.months,
                             days=other.days-self.days,
                             hours=other.hours-self.hours,
                             minutes=other.minutes-self.minutes,
                             seconds=other.seconds-self.seconds,
                             microseconds=other.microseconds-self.microseconds,
                             leapdays=other.leapdays or self.leapdays,
                             year=other.year or self.year,
                             month=other.month or self.month,
                             day=other.day or self.day,
                             weekday=other.weekday or self.weekday,
                             hour=other.hour or self.hour,
                             minute=other.minute or self.minute,
                             second=other.second or self.second,
                             microsecond=other.second or self.microsecond)

def __neg__(self):
        return relativedelta(years=-self.years,
                             months=-self.months,
                             days=-self.days,
                             hours=-self.hours,
                             minutes=-self.minutes,
                             seconds=-self.seconds,
                             microseconds=-self.microseconds,
                             leapdays=self.leapdays,
                             year=self.year,
                             month=self.month,
                             day=self.day,
                             weekday=self.weekday,
                             hour=self.hour,
                             minute=self.minute,
                             second=self.second,
                             microsecond=self.microsecond)

def __nonzero__(self):
        return not (not self.years and
                    not self.months and
                    not self.days and
                    not self.hours and
                    not self.minutes and
                    not self.seconds and
                    not self.microseconds and
                    not self.leapdays and
                    self.year is None and
                    self.month is None and
                    self.day is None and
                    self.weekday is None and
                    self.hour is None and
                    self.minute is None and
                    self.second is None and
                    self.microsecond is None)

def __mul__(self, other):
        f = float(other)
        return relativedelta(years=self.years*f,
                             months=self.months*f,
                             days=self.days*f,
                             hours=self.hours*f,
                             minutes=self.minutes*f,
                             seconds=self.seconds*f,
                             microseconds=self.microseconds*f,
                             leapdays=self.leapdays,
                             year=self.year,
                             month=self.month,
                             day=self.day,
                             weekday=self.weekday,
                             hour=self.hour,
                             minute=self.minute,
                             second=self.second,
                             microsecond=self.microsecond)

def __eq__(self, other):
        if not isinstance(other, relativedelta):
            return False
        if self.weekday or other.weekday:
            if not self.weekday or not other.weekday:
                return False
            if self.weekday.weekday != other.weekday.weekday:
                return False
            n1, n2 = self.weekday.n, other.weekday.n
            if n1 != n2 and not ((not n1 or n1 == 1) and (not n2 or n2 == 1)):
                return False
        return (self.years == other.years and
                self.months == other.months and
                self.days == other.days and
                self.hours == other.hours and
                self.minutes == other.minutes and
                self.seconds == other.seconds and
                self.leapdays == other.leapdays and
                self.year == other.year and
                self.month == other.month and
                self.day == other.day and
                self.hour == other.hour and
                self.minute == other.minute and
                self.second == other.second and
                self.microsecond == other.microsecond)

def __ne__(self, other):
        return not self.__eq__(other)

def __div__(self, other):
        return self.__mul__(1/float(other))

def __repr__(self):
        l = []
        for attr in ["years", "months", "days", "leapdays",
                     "hours", "minutes", "seconds", "microseconds"]:
            value = getattr(self, attr)
            if value:
                l.append("%s=%+d" % (attr, value))
        for attr in ["year", "month", "day", "weekday",
                     "hour", "minute", "second", "microsecond"]:
            value = getattr(self, attr)
            if value is not None:
                l.append("%s=%s" % (attr, `value`))
        return "%s(%s)" % (self.__class__.__name__, ", ".join(l))

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