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gramps/gramps2/src/Calendar.py

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Initial revision svn: r1140
2002-10-20 19:55:16 +05:30
#
# Gramps - a GTK+/GNOME based genealogy program
#
# Copyright (C) 2001 Donald N. Allingham
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
"""
Calendar conversion routines for GRAMPS.
The original algorithms for this module came from Scott E. Lee's
C implementation. The original C source can be found at Scott's
web site at http://www.scottlee.com
"""
__author__ = "Donald N. Allingham"
__version__ = "$Revision$"
Updated for calendar handling svn: r1234
2002-12-31 07:52:04 +05:30
import math
from intl import gettext as _
import Date
Initial revision svn: r1140
2002-10-20 19:55:16 +05:30
_FR_SDN_OFFSET = 2375474
_FR_DAYS_PER_4_YEARS = 1461
_FR_DAYS_PER_MONTH = 30
_FR_FIRST_VALID = 2375840
_FR_LAST_VALID = 2380952
_GR_SDN_OFFSET = 32045
_GR_DAYS_PER_5_MONTHS = 153
_GR_DAYS_PER_4_YEARS = 1461
_GR_DAYS_PER_400_YEARS = 146097
_J_SDN_OFFSET = 32083
_J_DAYS_PER_5_MONTHS = 153
_J_DAYS_PER_4_YEARS = 1461
_HALAKIM_PER_HOUR = 1080
_HALAKIM_PER_DAY = 25920
_HALAKIM_PER_LUNAR_CYCLE = ((29 * _HALAKIM_PER_DAY) + 13753)
_HALAKIM_PER_METONIC_CYCLE = (_HALAKIM_PER_LUNAR_CYCLE * (12 * 19 + 7))
_H_SDN_OFFSET = 347997
_NEW_MOON_OF_CREATION = 31524
_SUNDAY = 0
_MONDAY = 1
_TUESDAY = 2
_WEDNESDAY= 3
_FRIDAY = 5
_NOON = (18 * _HALAKIM_PER_HOUR)
_AM3_11_20 = ((9 * _HALAKIM_PER_HOUR) + 204)
_AM9_32_43 = ((15 * _HALAKIM_PER_HOUR) + 589)
#-------------------------------------------------------------------------
#
# Conversion tables
#
#-------------------------------------------------------------------------
monthsPerYear = [
12, 12, 13, 12, 12, 13, 12, 13, 12,
12, 13, 12, 12, 13, 12, 12, 13, 12, 13
]
yearOffset = [
0, 12, 24, 37, 49, 61, 74, 86, 99, 111, 123,
136, 148, 160, 173, 185, 197, 210, 222
]
Updated for calendar handling svn: r1234
2002-12-31 07:52:04 +05:30
#-------------------------------------------------------------------------
#
# Calendar - base calendar
#
#-------------------------------------------------------------------------
class Calendar:
months = [
_("January"), _("February"), _("March"), _("April"),
_("May"), _("June"), _("July"), _("August"),
_("September"), _("October"), _("November"), _("December")]
def __init__(self,source=None):
if source:
self.set_sdn(source.get_sdn())
def month(self,val):
try:
return Calendar.months[val-1]
except:
return "Illegal Month"
def get_name(self):
return "ERROR"
def check(self):
return 0
def format(self,year,month,day,mode):
return self.display(year,month,day,year)
def display(self,year,month,day,mode):
d = ''
if year==Date.UNDEF:
if month == Date.UNDEF:
d = ""
elif day == Date.UNDEF:
d = self.month(month)
else:
d = "%02d %s" % (day,self.month(month))
elif month == Date.UNDEF:
d = str(year)
elif day == Date.UNDEF:
d = "%s %d" % (self.month(month),year)
else:
d = "%02d %s %d" % (day,self.month(month),year)
if mode == Date.SingleDate.about:
d = _("about") + ' ' + d
elif mode == Date.SingleDate.before:
d = _("before") + ' ' + d
elif mode == Date.SingleDate.after:
d = _("after") + ' ' + d
return d
def set_sdn(self,val):
return (0,0,0)
def get_sdn(self,y,m,d):
return 0
#-------------------------------------------------------------------------
#
# Hebrew calendar
#
#-------------------------------------------------------------------------
class Hebrew(Calendar):
"""Jewish Calendar"""
HALAKIM_PER_HOUR = 1080
HALAKIM_PER_DAY = 25920
HALAKIM_PER_LUNAR_CYCLE = ((29 * HALAKIM_PER_DAY) + 13753)
HALAKIM_PER_METONIC_CYCLE = (HALAKIM_PER_LUNAR_CYCLE * (12 * 19 + 7))
SDN_OFFSET = 347997
NEW_MOON_OF_CREATION = 31524
SUNDAY = 0
MONDAY = 1
TUESDAY = 2
WEDNESDAY= 3
FRIDAY = 5
NOON = (18 * _HALAKIM_PER_HOUR)
AM3_11_20 = ((9 * _HALAKIM_PER_HOUR) + 204)
AM9_32_43 = ((15 * _HALAKIM_PER_HOUR) + 589)
monthsPerYear = [
12, 12, 13, 12, 12, 13, 12, 13, 12,
12, 13, 12, 12, 13, 12, 12, 13, 12, 13
]
yearOffset = [
0, 12, 24, 37, 49, 61, 74, 86, 99, 111, 123,
136, 148, 160, 173, 185, 197, 210, 222
]
months = [
"Tishri", "Heshvan", "Kislev", "Tevet", "Shevat", "AdarI",
"AdarII", "Nisan", "Iyyar", "Sivan", "Tammuz", "Av",
"Elul",]
def month(self,val):
try:
return Hebrew.months[val-1]
except:
return "Illegal Month"
def Tishri1(self,metonicYear, moladDay, moladHalakim):
tishri1 = moladDay
dow = tishri1 % 7
leapYear = metonicYear in [ 2, 5, 7, 10, 13, 16, 18]
lastWasLeapYear = metonicYear in [ 3, 6, 8, 11, 14, 17, 0]
# Apply rules 2, 3 and 4.
if ((moladHalakim >= NOON) or
((not leapYear) and dow == TUESDAY and moladHalakim >= AM3_11_20) or
(lastWasLeapYear and dow == MONDAY and moladHalakim >= AM9_32_43)) :
tishri1 = tishri1 + 1
dow = dow + 1
if dow == 7:
dow = 0
# Apply rule 1 after the others because it can cause an additional
# delay of one day
if dow == _WEDNESDAY or dow == FRIDAY or dow == SUNDAY:
tishri1 = tishri1 + 1
return tishri1
def MoladOfMetonicCycle(self,metonicCycle):
# Start with the time of the first molad after creation.
r1 = NEW_MOON_OF_CREATION;
# Calculate metonicCycle * HALAKIM_PER_METONIC_CYCLE. The upper 32
# bits of the result will be in r2 and the lower 16 bits will be
# in r1.
r1 = r1 + (metonicCycle * (HALAKIM_PER_METONIC_CYCLE & 0xFFFF))
r2 = r1 >> 16
r2 = r2 + (metonicCycle * ((HALAKIM_PER_METONIC_CYCLE >> 16) & 0xFFFF))
# Calculate r2r1 / HALAKIM_PER_DAY. The remainder will be in r1, the
# upper 16 bits of the quotient will be in d2 and the lower 16 bits
# will be in d1.
d2 = r2 / HALAKIM_PER_DAY
r2 = r2 - (d2 * HALAKIM_PER_DAY)
r1 = (r2 << 16) | (r1 & 0xFFFF)
d1 = r1 / HALAKIM_PER_DAY
r1 = r1 - ( d1 * HALAKIM_PER_DAY)
MoladDay = (d2 << 16) | d1
MoladHalakim = r1
return (MoladDay,MoladHalakim)
def FindTishriMolad(self,inputDay):
# Estimate the metonic cycle number. Note that this may be an under
# estimate because there are 6939.6896 days in a metonic cycle not
# 6940, but it will never be an over estimate. The loop below will
# correct for any error in this estimate. */
metonicCycle = (inputDay + 310) / 6940
# Calculate the time of the starting molad for this metonic cycle. */
(moladDay, moladHalakim) = MoladOfMetonicCycle(metonicCycle)
# If the above was an under estimate, increment the cycle number until
# the correct one is found. For modern dates this loop is about 98.6%
# likely to not execute, even once, because the above estimate is
# really quite close.
while moladDay < (inputDay - 6940 + 310):
metonicCycle = metonicCycle + 1
moladHalakim = moladHalakim + HALAKIM_PER_METONIC_CYCLE
moladDay = moladDay + ( moladHalakim / HALAKIM_PER_DAY)
moladHalakim = moladHalakim % HALAKIM_PER_DAY
# Find the molad of Tishri closest to this date.
for metonicYear in range(0,18):
if moladDay > inputDay - 74:
break
moladHalakim = moladHalakim + \
(HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear])
moladDay = moladDay + (moladHalakim / HALAKIM_PER_DAY)
moladHalakim = moladHalakim % HALAKIM_PER_DAY
else:
metonicYear = metonicYear + 1
return (metonicCycle, metonicYear, moladDay, moladHalakim)
def FindStartOfYear(self,year):
pMetonicCycle = (year - 1) / 19;
pMetonicYear = (year - 1) % 19;
(pMoladDay, pMoladHalakim) = MoladOfMetonicCycle(pMetonicCycle)
pMoladHalakim = pMoladHalakim + (HALAKIM_PER_LUNAR_CYCLE * yearOffset[pMetonicYear])
pMoladDay = pMoladDay + (pMoladHalakim / HALAKIM_PER_DAY)
pMoladHalakim = pMoladHalakim % HALAKIM_PER_DAY
pTishri1 = Tishri1(pMetonicYear, pMoladDay, pMoladHalakim);
return (pMetonicCycle, pMetonicYear, pMoladDay, pMoladHalakim, pTishri1)
def set_sdn(self,sdn):
"""Converts an SDN number to a Julian calendar date"""
if sdn <= SDN_OFFSET :
return (0,0,0)
inputDay = sdn - SDN_OFFSET
(metonicCycle, metonicYear, day, halakim) = FindTishriMolad(inputDay)
tishri1 = Tishri1(metonicYear, day, halakim);
if inputDay >= tishri1:
# It found Tishri 1 at the start of the year
pYear = (metonicCycle * 19) + metonicYear + 1
if inputDay < tishri1 + 59:
if inputDay < tishri1 + 30:
pMonth = 1
pDay = inputDay - tishri1 + 1
else:
pMonth = 2
pDay = inputDay - tishri1 - 29
return (pYear, pMonth, pDay)
# We need the length of the year to figure this out, so find
# Tishri 1 of the next year. */
halakim = halakim + (HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear])
day = day + (halakim / HALAKIM_PER_DAY)
halakim = halakim % HALAKIM_PER_DAY;
tishri1After = Tishri1((metonicYear + 1) % 19, day, halakim);
else:
# It found Tishri 1 at the end of the year.
pYear = metonicCycle * 19 + metonicYear
if inputDay >= tishri1 - 177:
# It is one of the last 6 months of the year.
if inputDay > tishri1 - 30:
pMonth = 13
pDay = inputDay - tishri1 + 30
elif inputDay > tishri1 - 60:
pMonth = 12
pDay = inputDay - tishri1 + 60
elif inputDay > tishri1 - 89:
pMonth = 11
pDay = inputDay - tishri1 + 89
elif inputDay > tishri1 - 119:
pMonth = 10
pDay = inputDay - tishri1 + 119
elif inputDay > tishri1 - 148:
pMonth = 9
pDay = inputDay - tishri1 + 148
else:
pMonth = 8
pDay = inputDay - tishri1 + 178
return (pYear,pMonth,pDay)
else:
if monthsPerYear[(pYear - 1) % 19] == 13:
pMonth = 7
pDay = inputDay - tishri1 + 207
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 30
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 30
else:
pMonth = 6
pDay = inputDay - tishri1 + 207
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 30
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 29
if pDay > 0:
return (pYear,pMonth,pDay)
# We need the length of the year to figure this out, so find
# Tishri 1 of this year. */
tishri1After = tishri1;
(metonicCycle,metonicYear,day,halakim) = FindTishriMolad(day-365)
tishri1 = Tishri1(metonicYear, day, halakim)
yearLength = tishri1After - tishri1;
day = inputDay - tishri1 - 29;
if yearLength == 355 or yearLength == 385 :
# Heshvan has 30 days
if day <= 30:
pMonth = 2
pDay = day
return (pYear,pMonth,pDay)
day = day - 30
else:
# Heshvan has 29 days
if day <= 29:
pMonth = 2
pDay = day
return (pYear,pMonth,pDay)
day = day - 29
# It has to be Kislev
return (pYear,3,day)
def get_sdn(self,year, month, day):
"""Converts a Jewish calendar date to an SDN number"""
if year <= 0 or day <= 0 or day > 30 :
return 0
if month == 1 or month == 2:
# It is Tishri or Heshvan - don't need the year length.
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1) = FindStartOfYear(year)
if month == 1:
sdn = tishri1 + day - 1
else:
sdn = tishri1 + day + 29
elif month == 3:
# It is Kislev - must find the year length.
# Find the start of the year.
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1) = FindStartOfYear(year)
# Find the end of the year.
moladHalakim = moladHalakim + (HALAKIM_PER_LUNAR_CYCLE*monthsPerYear[metonicYear])
moladDay = moladDay + (moladHalakim / HALAKIM_PER_DAY)
moladHalakim = moladHalakim % HALAKIM_PER_DAY
tishri1After = Tishri1((metonicYear + 1) % 19, moladDay, moladHalakim)
yearLength = tishri1After - tishri1
if yearLength == 355 or yearLength == 385:
sdn = tishri1 + day + 59
else:
sdn = tishri1 + day + 58
elif month == 4 or month == 5 or month == 6:
# It is Tevet, Shevat or Adar I - don't need the year length
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1After) = FindStartOfYear(year+1)
if monthsPerYear[(year - 1) % 19] == 12:
lengthOfAdarIAndII = 29
else:
lengthOfAdarIAndII = 59
if month == 4:
sdn = tishri1After + day - lengthOfAdarIAndII - 237
elif month == 5:
sdn = tishri1After + day - lengthOfAdarIAndII - 208
else:
sdn = tishri1After + day - lengthOfAdarIAndII - 178
else:
# It is Adar II or later - don't need the year length.
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1After) = FindStartOfYear(year+1)
if month == 7:
sdn = tishri1After + day - 207
elif month == 8:
sdn = tishri1After + day - 178
elif month == 9:
sdn = tishri1After + day - 148
elif month == 10:
sdn = tishri1After + day - 119
elif month == 11:
sdn = tishri1After + day - 89
elif month == 12:
sdn = tishri1After + day - 60
elif month == 13:
sdn = tishri1After + day - 30
else:
return 0
return sdn + SDN_OFFSET
#-------------------------------------------------------------------------
#
# Persian
#
#-------------------------------------------------------------------------
class Persian(Calendar):
"""Persian Calendar"""
PERSIAN_EPOCH = 1948320.5;
def get_sdn(self,year, month, day):
if year >= 0:
epbase = year - 474
else:
epbase = year - 473
epyear = 474 + epbase % 2820
if month <= 7:
v1 = (month - 1) * 31
else:
v1 = ((month - 1) * 30) + 6
v2 = math.floor(((epyear * 682) - 110) / 2816)
v3 = (epyear - 1) * 365 + day
v4 = math.floor(epbase / 2820) * 1029983
return int(math.ceil(v1 + v2 + v3 + v4 + PERSIAN_EPOCH - 1))
def set_sdn(self,sdn):
sdn = math.floor(sdn) + 0.5
depoch = sdn - persian_to_sdn(475, 1, 1)
cycle = math.floor(depoch / 1029983)
cyear = depoch % 1029983
if cyear == 1029982:
ycycle = 2820
else:
aux1 = math.floor(cyear / 366)
aux2 = cyear % 366
ycycle = math.floor(((2134 * aux1) + (2816 * aux2) + 2815) / 1028522) + aux1 + 1;
year = ycycle + (2820 * cycle) + 474
if year <= 0:
year = year - 1;
yday = sdn - persian_to_sdn(year, 1, 1) + 1
if yday < 186:
month = math.ceil(yday / 31)
else:
month = math.ceil((yday - 6) / 30)
day = (sdn - persian_to_sdn(year, month, 1)) + 1
return (int(year), int(month), int(day))
#-------------------------------------------------------------------------
#
# FrenchRepublic
#
#-------------------------------------------------------------------------
class FrenchRepublic(Calendar):
"""French Republic Calendar"""
SDN_OFFSET = 2375474
DAYS_PER_4_YEARS = 1461
DAYS_PER_MONTH = 30
FIRST_VALID = 2375840
LAST_VALID = 2380952
def get_sdn(self,y,m,d):
"""Converts a French Republican Calendar date to an SDN number"""
if (y < 1 or y > 14 or m < 1 or m > 13 or d < 1 or d > 30):
return 0
return (y*DAYS_PER_4_YEARS)/4+(m-1)*DAYS_PER_MONTH+d+SDN_OFFSET
def set_sdn(self,sdn):
"""Converts an SDN number to a French Republican Calendar date"""
if (sdn < FIRST_VALID or sdn > LAST_VALID) :
return (0,0,0)
temp = (sdn-SDN_OFFSET)*4 - 1
year = temp/DAYS_PER_4_YEARS
dayOfYear = (temp%DAYS_PER_4_YEARS)/4
month = (dayOfYear/DAYS_PER_MONTH)+1
day = (dayOfYear%DAYS_PER_MONTH)+1
return (year,month,day)
#-------------------------------------------------------------------------
#
# Gregorian
#
#-------------------------------------------------------------------------
class Gregorian(Calendar):
"""Gregorian Calendar"""
SDN_OFFSET = 32045
DAYS_PER_5_MONTHS = 153
DAYS_PER_4_YEARS = 1461
DAYS_PER_400_YEARS = 146097
def get_sdn(self,sdn):
"""Converts an SDN number to a gregorial date"""
if sdn <= 0:
return (0,0,0)
temp = (sdn + SDN_OFFSET) * 4 - 1
# Calculate the century (year/100)
century = temp / DAYS_PER_400_YEARS
# Calculate the year and day of year (1 <= dayOfYear <= 366)
temp = ((temp % DAYS_PER_400_YEARS) / 4) * 4 + 3
year = (century * 100) + (temp / DAYS_PER_4_YEARS)
dayOfYear = (temp % DAYS_PER_4_YEARS) / 4 + 1
# Calculate the month and day of month
temp = dayOfYear * 5 - 3
month = temp / DAYS_PER_5_MONTHS
day = (temp % DAYS_PER_5_MONTHS) / 5 + 1
# Convert to the normal beginning of the year
if month < 10 :
month = month + 3
else:
year = year + 1
month = month - 9
# Adjust to the B.C./A.D. type numbering
year = year - 4800
if year <= 0:
year = year - 1
return (year,month,day)
def set_sdn(self,iyear,imonth,iday):
"""Converts a gregorian date to an SDN number"""
# check for invalid dates
if iyear==0 or iyear<-4714 or imonth<=0 or imonth>12 or iday<=0 or iday>31:
return 0
# check for dates before SDN 1 (Nov 25, 4714 B.C.)
if iyear == -4714:
if imonth < 11 or imonth == 11 and iday < 25:
return 0
if iyear < 0:
year = iyear + 4801
else:
year = iyear + 4800
# Adjust the start of the year
if imonth > 2:
month = imonth - 3
else:
month = imonth + 9
year = year - 1
return( ((year / 100) * DAYS_PER_400_YEARS) / 4
+ ((year % 100) * DAYS_PER_4_YEARS) / 4
+ (month * DAYS_PER_5_MONTHS + 2) / 5
+ iday
- SDN_OFFSET );
#-------------------------------------------------------------------------
#
# Julian
#
#-------------------------------------------------------------------------
class Julian(Calendar):
"""Julian calendar"""
SDN_OFFSET = 32083
DAYS_PER_5_MONTHS = 153
DAYS_PER_4_YEARS = 1461
def get_sdn(self,sdn):
"""Converts an SDN number to a Julian date"""
if sdn <= 0 :
return (0,0,0)
temp = (sdn + SDN_OFFSET) * 4 - 1
# Calculate the year and day of year (1 <= dayOfYear <= 366)
year = temp / DAYS_PER_4_YEARS
dayOfYear = (temp % DAYS_PER_4_YEARS) / 4 + 1
# Calculate the month and day of month
temp = dayOfYear * 5 - 3;
month = temp / DAYS_PER_5_MONTHS;
day = (temp % DAYS_PER_5_MONTHS) / 5 + 1;
# Convert to the normal beginning of the year
if month < 10:
month = month + 3
else:
year = year + 1
month = month - 9
# Adjust to the B.C./A.D. type numbering
year = year - 4800
if year <= 0:
year = year - 1
return (year,month,day)
def set_sdn(self,iyear,imonth,iday):
"""Converts a Julian calendar date to an SDN number"""
# check for invalid dates
if iyear==0 or iyear<-4713 or imonth<=0 or imonth>12 or iday<=0 or iday>31:
return 0
# check for dates before SDN 1 (Jan 2, 4713 B.C.)
if iyear == -4713:
if imonth == 1 and iday == 1:
return 0
# Make year always a positive number
if iyear < 0:
year = iyear + 4801
else:
year = iyear + 4800
# Adjust the start of the year
if imonth > 2:
month = imonth - 3
else:
month = imonth + 9
year = year - 1
return (year*DAYS_PER_4_YEARS)/4 + (month*DAYS_PER_5_MONTHS+2)/5 + iday - SDN_OFFSET
#-------------------------------------------------------------------------
#
# Islamic
#
#-------------------------------------------------------------------------
class Islamic(Calendar):
"""Islamic calendar"""
ISLAMIC_EPOCH = 1948439.5
def set_sdn(self,year, month, day):
v1 = math.ceil(29.5 * (month - 1))
v2 = (year - 1) * 354
v3 = math.floor((3 + (11 *year)) / 30)
return int(math.ceil((day + v1 + v2 + v3 + _ISLAMIC_EPOCH) - 1))
def get_sdn(self,sdn):
sdn = math.floor(sdn) + 0.5
year = int(math.floor(((30*(sdn-_ISLAMIC_EPOCH))+10646)/10631))
month = int(min(12, math.ceil((sdn-(29+islamic_to_sdn(year,1,1)))/29.5) + 1))
day = int((sdn - islamic_to_sdn(year,month,1)) + 1)
return (year,month,day)
Initial revision svn: r1140
2002-10-20 19:55:16 +05:30
#-------------------------------------------------------------------------
#
# Tasks
#
#-------------------------------------------------------------------------
Updated for calendar handling svn: r1234
2002-12-31 07:52:04 +05:30
def sdn_to_julian(sdn):
"""Converts an SDN number to a Julian date"""
if sdn <= 0 :
return (0,0,0)
temp = (sdn + _J_SDN_OFFSET) * 4 - 1
# Calculate the year and day of year (1 <= dayOfYear <= 366)
year = temp / _J_DAYS_PER_4_YEARS
dayOfYear = (temp % _J_DAYS_PER_4_YEARS) / 4 + 1
# Calculate the month and day of month
temp = dayOfYear * 5 - 3;
month = temp / _J_DAYS_PER_5_MONTHS;
day = (temp % _J_DAYS_PER_5_MONTHS) / 5 + 1;
# Convert to the normal beginning of the year
if month < 10:
month = month + 3
else:
year = year + 1
month = month - 9
# Adjust to the B.C./A.D. type numbering
year = year - 4800
if year <= 0:
year = year - 1
return (year,month,day)
def julian_to_sdn(iyear,imonth,iday):
"""Converts a Julian calendar date to an SDN number"""
# check for invalid dates
if iyear==0 or iyear<-4713 or imonth<=0 or imonth>12 or iday<=0 or iday>31:
return 0
# check for dates before SDN 1 (Jan 2, 4713 B.C.)
if iyear == -4713:
if imonth == 1 and iday == 1:
return 0
# Make year always a positive number
if iyear < 0:
year = iyear + 4801
else:
year = iyear + 4800
# Adjust the start of the year
if imonth > 2:
month = imonth - 3
else:
month = imonth + 9
year = year - 1
return (year*_J_DAYS_PER_4_YEARS)/4 + (month*_J_DAYS_PER_5_MONTHS+2)/5 + iday - _J_SDN_OFFSET
Initial revision svn: r1140
2002-10-20 19:55:16 +05:30
def french_to_sdn(y,m,d):
"""Converts a French Republican Calendar date to an SDN number"""
if (y < 1 or y > 14 or m < 1 or m > 13 or d < 1 or d > 30):
return 0
return (y*_FR_DAYS_PER_4_YEARS)/4+(m-1)*_FR_DAYS_PER_MONTH+d+_FR_SDN_OFFSET
def sdn_to_french(sdn):
"""Converts an SDN number to a French Republican Calendar date"""
if (sdn < _FR_FIRST_VALID or sdn > _FR_LAST_VALID) :
return (0,0,0)
temp = (sdn-_FR_SDN_OFFSET)*4 - 1
year = temp/_FR_DAYS_PER_4_YEARS
dayOfYear = (temp%_FR_DAYS_PER_4_YEARS)/4
month = (dayOfYear/_FR_DAYS_PER_MONTH)+1
day = (dayOfYear%_FR_DAYS_PER_MONTH)+1
return (year,month,day)
def sdn_to_gregorian(sdn):
"""Converts an SDN number to a gregorial date"""
if sdn <= 0:
return (0,0,0)
temp = (sdn + _GR_SDN_OFFSET) * 4 - 1
# Calculate the century (year/100)
century = temp / _GR_DAYS_PER_400_YEARS
# Calculate the year and day of year (1 <= dayOfYear <= 366)
temp = ((temp % _GR_DAYS_PER_400_YEARS) / 4) * 4 + 3
year = (century * 100) + (temp / _GR_DAYS_PER_4_YEARS)
dayOfYear = (temp % _GR_DAYS_PER_4_YEARS) / 4 + 1
# Calculate the month and day of month
temp = dayOfYear * 5 - 3
month = temp / _GR_DAYS_PER_5_MONTHS
day = (temp % _GR_DAYS_PER_5_MONTHS) / 5 + 1
# Convert to the normal beginning of the year
if month < 10 :
month = month + 3
else:
year = year + 1
Date handling improvements (calendar conversions) svn: r1233
2002-12-30 06:12:47 +05:30
month = month - 9
Initial revision svn: r1140
2002-10-20 19:55:16 +05:30
# Adjust to the B.C./A.D. type numbering
year = year - 4800
if year <= 0:
year = year - 1
return (year,month,day)
def gregorian_to_sdn(iyear,imonth,iday):
"""Converts a gregorian date to an SDN number"""
# check for invalid dates
if iyear==0 or iyear<-4714 or imonth<=0 or imonth>12 or iday<=0 or iday>31:
return 0
# check for dates before SDN 1 (Nov 25, 4714 B.C.)
if iyear == -4714:
if imonth < 11 or imonth == 11 and iday < 25:
return 0
if iyear < 0:
year = iyear + 4801
else:
year = iyear + 4800
# Adjust the start of the year
if imonth > 2:
month = imonth - 3
else:
month = imonth + 9
year = year - 1
return( ((year / 100) * _GR_DAYS_PER_400_YEARS) / 4
+ ((year % 100) * _GR_DAYS_PER_4_YEARS) / 4
+ (month * _GR_DAYS_PER_5_MONTHS + 2) / 5
+ iday
- _GR_SDN_OFFSET );
def Tishri1(metonicYear, moladDay, moladHalakim):
tishri1 = moladDay
dow = tishri1 % 7
leapYear = metonicYear == 2 or metonicYear == 5 or metonicYear == 7 or \
metonicYear == 10 or metonicYear == 13 or metonicYear == 16 or \
metonicYear == 18
lastWasLeapYear = metonicYear == 3 or metonicYear == 6 or metonicYear == 8 or \
metonicYear == 11 or metonicYear == 14 or metonicYear == 17 or \
metonicYear == 0
# Apply rules 2, 3 and 4.
if ((moladHalakim >= _NOON) or
((not leapYear) and dow == _TUESDAY and moladHalakim >= _AM3_11_20) or
(lastWasLeapYear and dow == _MONDAY and moladHalakim >= _AM9_32_43)) :
tishri1 = tishri1 + 1
dow = dow + 1
if dow == 7:
dow = 0
# Apply rule 1 after the others because it can cause an additional
# delay of one day
if dow == _WEDNESDAY or dow == _FRIDAY or dow == _SUNDAY:
tishri1 = tishri1 + 1
return tishri1
def MoladOfMetonicCycle(metonicCycle):
# Start with the time of the first molad after creation.
r1 = _NEW_MOON_OF_CREATION;
# Calculate metonicCycle * HALAKIM_PER_METONIC_CYCLE. The upper 32
# bits of the result will be in r2 and the lower 16 bits will be
# in r1.
r1 = r1 + (metonicCycle * (_HALAKIM_PER_METONIC_CYCLE & 0xFFFF))
r2 = r1 >> 16
r2 = r2 + (metonicCycle * ((_HALAKIM_PER_METONIC_CYCLE >> 16) & 0xFFFF))
# Calculate r2r1 / HALAKIM_PER_DAY. The remainder will be in r1, the
# upper 16 bits of the quotient will be in d2 and the lower 16 bits
# will be in d1.
d2 = r2 / _HALAKIM_PER_DAY
r2 = r2 - (d2 * _HALAKIM_PER_DAY)
r1 = (r2 << 16) | (r1 & 0xFFFF)
d1 = r1 / _HALAKIM_PER_DAY
r1 = r1 - ( d1 * _HALAKIM_PER_DAY)
MoladDay = (d2 << 16) | d1
MoladHalakim = r1
return (MoladDay,MoladHalakim)
def FindTishriMolad(inputDay):
# Estimate the metonic cycle number. Note that this may be an under
# estimate because there are 6939.6896 days in a metonic cycle not
# 6940, but it will never be an over estimate. The loop below will
# correct for any error in this estimate. */
metonicCycle = (inputDay + 310) / 6940
# Calculate the time of the starting molad for this metonic cycle. */
(moladDay, moladHalakim) = MoladOfMetonicCycle(metonicCycle)
# If the above was an under estimate, increment the cycle number until
# the correct one is found. For modern dates this loop is about 98.6%
# likely to not execute, even once, because the above estimate is
# really quite close.
while moladDay < (inputDay - 6940 + 310):
metonicCycle = metonicCycle + 1
moladHalakim = moladHalakim + _HALAKIM_PER_METONIC_CYCLE
moladDay = moladDay + ( moladHalakim / _HALAKIM_PER_DAY)
moladHalakim = moladHalakim % _HALAKIM_PER_DAY
# Find the molad of Tishri closest to this date.
for metonicYear in range(0,18):
if moladDay > inputDay - 74:
break
moladHalakim = moladHalakim + \
(_HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear])
moladDay = moladDay + (moladHalakim / _HALAKIM_PER_DAY)
moladHalakim = moladHalakim % _HALAKIM_PER_DAY
else:
metonicYear = metonicYear + 1
return (metonicCycle, metonicYear, moladDay, moladHalakim)
def FindStartOfYear(year):
pMetonicCycle = (year - 1) / 19;
pMetonicYear = (year - 1) % 19;
(pMoladDay, pMoladHalakim) = MoladOfMetonicCycle(pMetonicCycle)
pMoladHalakim = pMoladHalakim + (_HALAKIM_PER_LUNAR_CYCLE * yearOffset[pMetonicYear])
pMoladDay = pMoladDay + (pMoladHalakim / _HALAKIM_PER_DAY)
pMoladHalakim = pMoladHalakim % _HALAKIM_PER_DAY
pTishri1 = Tishri1(pMetonicYear, pMoladDay, pMoladHalakim);
return (pMetonicCycle, pMetonicYear, pMoladDay, pMoladHalakim, pTishri1)
def sdn_to_jewish(sdn):
"""Converts an SDN number to a Julian calendar date"""
if sdn <= _H_SDN_OFFSET :
return (0,0,0)
inputDay = sdn - _H_SDN_OFFSET
(metonicCycle, metonicYear, day, halakim) = FindTishriMolad(inputDay)
tishri1 = Tishri1(metonicYear, day, halakim);
if inputDay >= tishri1:
# It found Tishri 1 at the start of the year
pYear = (metonicCycle * 19) + metonicYear + 1
if inputDay < tishri1 + 59:
if inputDay < tishri1 + 30:
pMonth = 1
pDay = inputDay - tishri1 + 1
else:
pMonth = 2
pDay = inputDay - tishri1 - 29
return (pYear, pMonth, pDay)
# We need the length of the year to figure this out, so find
# Tishri 1 of the next year. */
halakim = halakim + (_HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear])
day = day + (halakim / _HALAKIM_PER_DAY)
halakim = halakim % _HALAKIM_PER_DAY;
tishri1After = Tishri1((metonicYear + 1) % 19, day, halakim);
else:
# It found Tishri 1 at the end of the year.
pYear = metonicCycle * 19 + metonicYear
if inputDay >= tishri1 - 177:
# It is one of the last 6 months of the year.
if inputDay > tishri1 - 30:
pMonth = 13
pDay = inputDay - tishri1 + 30
elif inputDay > tishri1 - 60:
pMonth = 12
pDay = inputDay - tishri1 + 60
elif inputDay > tishri1 - 89:
pMonth = 11
pDay = inputDay - tishri1 + 89
elif inputDay > tishri1 - 119:
pMonth = 10
pDay = inputDay - tishri1 + 119
elif inputDay > tishri1 - 148:
pMonth = 9
pDay = inputDay - tishri1 + 148
else:
pMonth = 8
pDay = inputDay - tishri1 + 178
return (pYear,pMonth,pDay)
else:
if monthsPerYear[(pYear - 1) % 19] == 13:
pMonth = 7
pDay = inputDay - tishri1 + 207
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 30
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 30
else:
pMonth = 6
pDay = inputDay - tishri1 + 207
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 30
if pDay > 0:
return (pYear,pMonth,pDay)
pMonth = pMonth - 1
pDay = pDay + 29
if pDay > 0:
return (pYear,pMonth,pDay)
# We need the length of the year to figure this out, so find
# Tishri 1 of this year. */
tishri1After = tishri1;
(metonicCycle,metonicYear,day,halakim) = FindTishriMolad(day-365)
tishri1 = Tishri1(metonicYear, day, halakim)
yearLength = tishri1After - tishri1;
day = inputDay - tishri1 - 29;
if yearLength == 355 or yearLength == 385 :
# Heshvan has 30 days
if day <= 30:
pMonth = 2
pDay = day
return (pYear,pMonth,pDay)
day = day - 30
else:
# Heshvan has 29 days
if day <= 29:
pMonth = 2
pDay = day
return (pYear,pMonth,pDay)
day = day - 29
# It has to be Kislev
return (pYear,3,day)
def jewish_to_sdn(year, month, day):
"""Converts a Jewish calendar date to an SDN number"""
if year <= 0 or day <= 0 or day > 30 :
return 0
if month == 1 or month == 2:
# It is Tishri or Heshvan - don't need the year length.
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1) = FindStartOfYear(year)
if month == 1:
sdn = tishri1 + day - 1
else:
sdn = tishri1 + day + 29
elif month == 3:
# It is Kislev - must find the year length.
# Find the start of the year.
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1) = FindStartOfYear(year)
# Find the end of the year.
moladHalakim = moladHalakim + (_HALAKIM_PER_LUNAR_CYCLE*monthsPerYear[metonicYear])
moladDay = moladDay + (moladHalakim / _HALAKIM_PER_DAY)
moladHalakim = moladHalakim % _HALAKIM_PER_DAY
tishri1After = Tishri1((metonicYear + 1) % 19, moladDay, moladHalakim)
yearLength = tishri1After - tishri1
if yearLength == 355 or yearLength == 385:
sdn = tishri1 + day + 59
else:
sdn = tishri1 + day + 58
elif month == 4 or month == 5 or month == 6:
# It is Tevet, Shevat or Adar I - don't need the year length
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1After) = FindStartOfYear(year+1)
if monthsPerYear[(year - 1) % 19] == 12:
lengthOfAdarIAndII = 29
else:
lengthOfAdarIAndII = 59
if month == 4:
sdn = tishri1After + day - lengthOfAdarIAndII - 237
elif month == 5:
sdn = tishri1After + day - lengthOfAdarIAndII - 208
else:
sdn = tishri1After + day - lengthOfAdarIAndII - 178
else:
# It is Adar II or later - don't need the year length.
(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1After) = FindStartOfYear(year+1)
if month == 7:
sdn = tishri1After + day - 207
elif month == 8:
sdn = tishri1After + day - 178
elif month == 9:
sdn = tishri1After + day - 148
elif month == 10:
sdn = tishri1After + day - 119
elif month == 11:
sdn = tishri1After + day - 89
elif month == 12:
sdn = tishri1After + day - 60
elif month == 13:
sdn = tishri1After + day - 30
else:
return 0
return sdn + _H_SDN_OFFSET
Updated for calendar handling svn: r1234
2002-12-31 07:52:04 +05:30
if __name__ == "__main__":
e = Gregorian()
print e.format(1992,12,2,Date.SingleDate.exact)
print e.format(2002,1,28,Date.SingleDate.about)
f = Hebrew()
print f.format(1992,12,2,Date.SingleDate.exact)
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