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File Name : easter.py

# -*- coding: utf-8 -*-
"""
This module offers a generic easter computing method for any given year, using
Western, Orthodox or Julian algorithms.
"""

import datetime

__all__ = ["easter", "EASTER_JULIAN", "EASTER_ORTHODOX", "EASTER_WESTERN"]

EASTER_JULIAN = 1
EASTER_ORTHODOX = 2
EASTER_WESTERN = 3

def easter(year, method=EASTER_WESTERN):
    """
    This method was ported from the work done by GM Arts,
    on top of the algorithm by Claus Tondering, which was
    based in part on the algorithm of Ouding (1940), as
    quoted in "Explanatory Supplement to the Astronomical
    Almanac", P.  Kenneth Seidelmann, editor.

This algorithm implements three different easter
    calculation methods:

1 - Original calculation in Julian calendar, valid in
        dates after 326 AD
    2 - Original method, with date converted to Gregorian
        calendar, valid in years 1583 to 4099
    3 - Revised method, in Gregorian calendar, valid in
        years 1583 to 4099 as well

These methods are represented by the constants:

* ``EASTER_JULIAN   = 1``
    * ``EASTER_ORTHODOX = 2``
    * ``EASTER_WESTERN  = 3``

The default method is method 3.

More about the algorithm may be found at:

http://users.chariot.net.au/~gmarts/eastalg.htm

and

http://www.tondering.dk/claus/calendar.html

"""

if not (1 <= method <= 3):
        raise ValueError("invalid method")

# g - Golden year - 1
    # c - Century
    # h - (23 - Epact) mod 30
    # i - Number of days from March 21 to Paschal Full Moon
    # j - Weekday for PFM (0=Sunday, etc)
    # p - Number of days from March 21 to Sunday on or before PFM
    #     (-6 to 28 methods 1 & 3, to 56 for method 2)
    # e - Extra days to add for method 2 (converting Julian
    #     date to Gregorian date)

y = year
    g = y % 19
    e = 0
    if method < 3:
        # Old method
        i = (19*g + 15) % 30
        j = (y + y//4 + i) % 7
        if method == 2:
            # Extra dates to convert Julian to Gregorian date
            e = 10
            if y > 1600:
                e = e + y//100 - 16 - (y//100 - 16)//4
    else:
        # New method
        c = y//100
        h = (c - c//4 - (8*c + 13)//25 + 19*g + 15) % 30
        i = h - (h//28)*(1 - (h//28)*(29//(h + 1))*((21 - g)//11))
        j = (y + y//4 + i + 2 - c + c//4) % 7

# p can be from -6 to 56 corresponding to dates 22 March to 23 May
    # (later dates apply to method 2, although 23 May never actually occurs)
    p = i - j + e
    d = 1 + (p + 27 + (p + 6)//40) % 31
    m = 3 + (p + 26)//30
    return datetime.date(int(y), int(m), int(d))

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Name	Type	Size	Owner/Group	Permission	Last Modified	Actions
.	dir	-	root/root	0755	2024-03-03 07:11:31
..	dir	-	root/root	0755	2024-10-11 06:31:39
__pycache__	dir	-	root/root	0755	2024-03-03 07:11:31
tz	dir	-	root/root	0755	2024-03-03 07:11:31
zoneinfo	dir	-	root/root	0755	2024-03-03 07:11:31
__init__.py	text/x-script.python	69 B	root/root	0644	2017-07-10 06:32:22
_common.py	text/plain	768 B	root/root	0644	2017-07-10 06:32:22
_version.py	text/plain	219 B	root/root	0644	2017-07-10 06:32:22
easter.py	text/plain	2.57 KB	root/root	0644	2017-07-10 06:32:22
parser.py	text/x-script.python	49.75 KB	root/root	0644	2017-07-10 06:32:22
relativedelta.py	text/x-script.python	22.6 KB	root/root	0644	2017-07-10 06:32:22
rrule.py	text/x-script.python	60.39 KB	root/root	0644	2017-07-10 06:32:22
tzwin.py	text/x-script.python	59 B	root/root	0644	2017-07-10 06:32:22