495 lines
14 KiB
Python
495 lines
14 KiB
Python
#
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# Gramps - a GTK+/GNOME based genealogy program
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#
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# Copyright (C) 2001 Donald N. Allingham
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#
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# This program is free software; you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation; either version 2 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program; if not, write to the Free Software
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# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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#
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#
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# The original algorithms for this module came from Scott E. Lee's
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# C implementation. The original C source can be found at Scott's
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# web site at http://www.scottlee.com
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#
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_FR_SDN_OFFSET = 2375474
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_FR_DAYS_PER_4_YEARS = 1461
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_FR_DAYS_PER_MONTH = 30
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_FR_FIRST_VALID = 2375840
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_FR_LAST_VALID = 2380952
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_GR_SDN_OFFSET = 32045
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_GR_DAYS_PER_5_MONTHS = 153
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_GR_DAYS_PER_4_YEARS = 1461
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_GR_DAYS_PER_400_YEARS = 146097
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_J_SDN_OFFSET = 32083
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_J_DAYS_PER_5_MONTHS = 153
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_J_DAYS_PER_4_YEARS = 1461
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_HALAKIM_PER_HOUR = 1080
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_HALAKIM_PER_DAY = 25920
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_HALAKIM_PER_LUNAR_CYCLE = ((29 * _HALAKIM_PER_DAY) + 13753)
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_HALAKIM_PER_METONIC_CYCLE = (_HALAKIM_PER_LUNAR_CYCLE * (12 * 19 + 7))
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_H_SDN_OFFSET = 347997
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_NEW_MOON_OF_CREATION = 31524
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_SUNDAY = 0
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_MONDAY = 1
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_TUESDAY = 2
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_WEDNESDAY= 3
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_THURSDAY = 4
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_FRIDAY = 5
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_SATURDAY = 6
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_NOON = (18 * _HALAKIM_PER_HOUR)
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_AM3_11_20 = ((9 * _HALAKIM_PER_HOUR) + 204)
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_AM9_32_43 = ((15 * _HALAKIM_PER_HOUR) + 589)
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monthsPerYear = [
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12, 12, 13, 12, 12, 13, 12, 13, 12, 12, 13, 12, 12, 13, 12, 12, 13, 12, 13
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]
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yearOffset = [
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0, 12, 24, 37, 49, 61, 74, 86, 99, 111, 123,
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136, 148, 160, 173, 185, 197, 210, 222
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]
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def french_to_sdn(year,month,day):
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if (year < 1 or year > 14 or month < 1 or month > 13 or day < 1 or day > 30):
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return 0
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return (year*_FR_DAYS_PER_4_YEARS)/4 + (month-1)*_FR_DAYS_PER_MONTH + day +_FR_SDN_OFFSET
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def sdn_to_french(sdn):
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if (sdn < _FR_FIRST_VALID or sdn > _FR_LAST_VALID) :
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return (0,0,0)
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temp = (sdn - _FR_SDN_OFFSET) * 4 - 1
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year = temp / _FR_DAYS_PER_4_YEARS
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dayOfYear = (temp % _FR_DAYS_PER_4_YEARS) / 4
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month = dayOfYear / _FR_DAYS_PER_MONTH + 1
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day = dayOfYear % _FR_DAYS_PER_MONTH + 1
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return (year,month,day)
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def sdn_to_gregorian(sdn):
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if sdn <= 0:
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return (0,0,0)
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temp = (sdn + _GR_SDN_OFFSET) * 4 - 1
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# Calculate the century (year/100)
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century = temp / _GR_DAYS_PER_400_YEARS
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# Calculate the year and day of year (1 <= dayOfYear <= 366)
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temp = ((temp % _GR_DAYS_PER_400_YEARS) / 4) * 4 + 3
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year = (century * 100) + (temp / _GR_DAYS_PER_4_YEARS)
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dayOfYear = (temp % _GR_DAYS_PER_4_YEARS) / 4 + 1
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# Calculate the month and day of month
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temp = dayOfYear * 5 - 3
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month = temp / _GR_DAYS_PER_5_MONTHS
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day = (temp % _GR_DAYS_PER_5_MONTHS) / 5 + 1
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# Convert to the normal beginning of the year
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if month < 10 :
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month = month + 3
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else:
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year = year + 1
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month = month + 9
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# Adjust to the B.C./A.D. type numbering
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year = year - 4800
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if year <= 0:
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year = year - 1
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return (year,month,day)
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def gregorian_to_sdn(iyear,imonth,iday):
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# check for invalid dates
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if iyear==0 or iyear<-4714 or imonth<=0 or imonth>12 or iday<=0 or iday>31:
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return 0
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# check for dates before SDN 1 (Nov 25, 4714 B.C.)
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if iyear == -4714:
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if imonth < 11 or imonth == 11 and iday < 25:
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return 0
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if iyear < 0:
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year = iyear + 4801
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else:
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year = iyear + 4800
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# Adjust the start of the year
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if imonth > 2:
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month = imonth - 3
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else:
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month = imonth + 9
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year = year - 1
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return( ((year / 100) * _GR_DAYS_PER_400_YEARS) / 4
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+ ((year % 100) * _GR_DAYS_PER_4_YEARS) / 4
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+ (month * _GR_DAYS_PER_5_MONTHS + 2) / 5
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+ iday
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- _GR_SDN_OFFSET );
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def sdn_to_julian(sdn):
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if sdn <= 0 :
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return (0,0,0)
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temp = (sdn + _J_SDN_OFFSET) * 4 - 1
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# Calculate the year and day of year (1 <= dayOfYear <= 366)
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year = temp / _J_DAYS_PER_4_YEARS
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dayOfYear = (temp % _J_DAYS_PER_4_YEARS) / 4 + 1
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# Calculate the month and day of month
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temp = dayOfYear * 5 - 3;
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month = temp / _J_DAYS_PER_5_MONTHS;
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day = (temp % _J_DAYS_PER_5_MONTHS) / 5 + 1;
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# Convert to the normal beginning of the year
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if month < 10:
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month = month + 3
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else:
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year = year + 1
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month = month - 9
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# Adjust to the B.C./A.D. type numbering
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year = year - 4800
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if year <= 0:
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year = year - 1
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return (year,month,day)
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def julian_to_sdn(iyear,imonth,iday):
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# check for invalid dates
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if iyear==0 or iyear<-4713 or imonth<=0 or imonth>12 or iday<=0 or iday>31:
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return 0
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# check for dates before SDN 1 (Jan 2, 4713 B.C.)
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if iyear == -4713:
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if imonth == 1 and iday == 1:
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return 0
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# Make year always a positive number
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if iyear < 0:
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year = iyear + 4801
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else:
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year = iyear + 4800
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# Adjust the start of the year
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if imonth > 2:
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month = imonth - 3
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else:
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month = imonth + 9
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year = year - 1
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return (year*_J_DAYS_PER_4_YEARS)/4 + (month*_J_DAYS_PER_5_MONTHS+2)/5 + iday - _J_SDN_OFFSET
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def Tishri1(metonicYear, moladDay, moladHalakim):
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tishri1 = moladDay
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dow = tishri1 % 7
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leapYear = metonicYear == 2 or metonicYear == 5 or metonicYear == 7 or \
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metonicYear == 10 or metonicYear == 13 or metonicYear == 16 or \
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metonicYear == 18
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lastWasLeapYear = metonicYear == 3 or metonicYear == 6 or metonicYear == 8 or \
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metonicYear == 11 or metonicYear == 14 or metonicYear == 17 or \
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metonicYear == 0
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# Apply rules 2, 3 and 4.
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if ((moladHalakim >= _NOON) or
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((not leapYear) and dow == _TUESDAY and moladHalakim >= _AM3_11_20) or
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(lastWasLeapYear and dow == _MONDAY and moladHalakim >= _AM9_32_43)) :
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tishri1 = tishri1 + 1
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dow = dow + 1
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if dow == 7:
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dow = 0
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# Apply rule 1 after the others because it can cause an additional
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# delay of one day
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if dow == _WEDNESDAY or dow == _FRIDAY or dow == _SUNDAY:
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tishri1 = tishri1 + 1
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return tishri1
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def MoladOfMetonicCycle(metonicCycle):
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# Start with the time of the first molad after creation.
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r1 = _NEW_MOON_OF_CREATION;
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# Calculate metonicCycle * HALAKIM_PER_METONIC_CYCLE. The upper 32
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# bits of the result will be in r2 and the lower 16 bits will be
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# in r1.
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r1 = r1 + (metonicCycle * (_HALAKIM_PER_METONIC_CYCLE & 0xFFFF))
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r2 = r1 >> 16
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r2 = r2 + (metonicCycle * ((_HALAKIM_PER_METONIC_CYCLE >> 16) & 0xFFFF))
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# Calculate r2r1 / HALAKIM_PER_DAY. The remainder will be in r1, the
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# upper 16 bits of the quotient will be in d2 and the lower 16 bits
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# will be in d1.
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d2 = r2 / _HALAKIM_PER_DAY
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r2 = r2 - (d2 * _HALAKIM_PER_DAY)
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r1 = (r2 << 16) | (r1 & 0xFFFF)
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d1 = r1 / _HALAKIM_PER_DAY
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r1 = r1 - ( d1 * _HALAKIM_PER_DAY)
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MoladDay = (d2 << 16) | d1
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MoladHalakim = r1
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return (MoladDay,MoladHalakim)
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def FindTishriMolad(inputDay):
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# Estimate the metonic cycle number. Note that this may be an under
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# estimate because there are 6939.6896 days in a metonic cycle not
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# 6940, but it will never be an over estimate. The loop below will
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# correct for any error in this estimate. */
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metonicCycle = (inputDay + 310) / 6940
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# Calculate the time of the starting molad for this metonic cycle. */
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(moladDay, moladHalakim) = MoladOfMetonicCycle(metonicCycle)
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# If the above was an under estimate, increment the cycle number until
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# the correct one is found. For modern dates this loop is about 98.6%
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# likely to not execute, even once, because the above estimate is
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# really quite close.
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while moladDay < (inputDay - 6940 + 310):
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metonicCycle = metonicCycle + 1
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moladHalakim = moladHalakim + _HALAKIM_PER_METONIC_CYCLE
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moladDay = moladDay + ( moladHalakim / _HALAKIM_PER_DAY)
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moladHalakim = moladHalakim % _HALAKIM_PER_DAY
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# Find the molad of Tishri closest to this date.
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for metonicYear in range(0,18):
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if moladDay > inputDay - 74:
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break
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moladHalakim = moladHalakim + \
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(_HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear])
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moladDay = moladDay + (moladHalakim / _HALAKIM_PER_DAY)
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moladHalakim = moladHalakim % _HALAKIM_PER_DAY
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else:
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metonicYear = metonicYear + 1
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return (metonicCycle, metonicYear, moladDay, moladHalakim)
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def FindStartOfYear(year):
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pMetonicCycle = (year - 1) / 19;
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pMetonicYear = (year - 1) % 19;
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(pMoladDay, pMoladHalakim) = MoladOfMetonicCycle(pMetonicCycle)
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pMoladHalakim = pMoladHalakim + (_HALAKIM_PER_LUNAR_CYCLE * yearOffset[pMetonicYear])
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pMoladDay = pMoladDay + (pMoladHalakim / _HALAKIM_PER_DAY)
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pMoladHalakim = pMoladHalakim % _HALAKIM_PER_DAY
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pTishri1 = Tishri1(pMetonicYear, pMoladDay, pMoladHalakim);
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return (pMetonicCycle, pMetonicYear, pMoladDay, pMoladHalakim, pTishri1)
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def sdn_to_jewish(sdn):
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if sdn <= _H_SDN_OFFSET :
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return (0,0,0)
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inputDay = sdn - _H_SDN_OFFSET
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(metonicCycle, metonicYear, day, halakim) = FindTishriMolad(inputDay)
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tishri1 = Tishri1(metonicYear, day, halakim);
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if inputDay >= tishri1:
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# It found Tishri 1 at the start of the year
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pYear = (metonicCycle * 19) + metonicYear + 1
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if inputDay < tishri1 + 59:
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if inputDay < tishri1 + 30:
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pMonth = 1
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pDay = inputDay - tishri1 + 1
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else:
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pMonth = 2
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pDay = inputDay - tishri1 - 29
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return (pYear, pMonth, pDay)
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# We need the length of the year to figure this out, so find
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# Tishri 1 of the next year. */
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halakim = halakim + (_HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear])
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day = day + (halakim / _HALAKIM_PER_DAY)
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halakim = halakim % _HALAKIM_PER_DAY;
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tishri1After = Tishri1((metonicYear + 1) % 19, day, halakim);
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else:
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# It found Tishri 1 at the end of the year.
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pYear = metonicCycle * 19 + metonicYear
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if inputDay >= tishri1 - 177:
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# It is one of the last 6 months of the year.
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if inputDay > tishri1 - 30:
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pMonth = 13
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pDay = inputDay - tishri1 + 30
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elif inputDay > tishri1 - 60:
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pMonth = 12
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pDay = inputDay - tishri1 + 60
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elif inputDay > tishri1 - 89:
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pMonth = 11
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pDay = inputDay - tishri1 + 89
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elif inputDay > tishri1 - 119:
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pMonth = 10
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pDay = inputDay - tishri1 + 119
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elif inputDay > tishri1 - 148:
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pMonth = 9
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pDay = inputDay - tishri1 + 148
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else:
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pMonth = 8
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pDay = inputDay - tishri1 + 178
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return (pYear,pMonth,pDay)
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else:
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if monthsPerYear[(pYear - 1) % 19] == 13:
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pMonth = 7
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pDay = inputDay - tishri1 + 207
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if pDay > 0:
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return (pYear,pMonth,pDay)
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pMonth = pMonth - 1
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pDay = pDay + 30
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if pDay > 0:
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return (pYear,pMonth,pDay)
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pMonth = pMonth - 1
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pDay = pDay + 30
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else:
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pMonth = 6
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pDay = inputDay - tishri1 + 207
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if pDay > 0:
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return (pYear,pMonth,pDay)
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pMonth = pMonth - 1
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pDay = pDay + 30
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if pDay > 0:
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return (pYear,pMonth,pDay)
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pMonth = pMonth - 1
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pDay = pDay + 29
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if pDay > 0:
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return (pYear,pMonth,pDay)
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# We need the length of the year to figure this out, so find
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# Tishri 1 of this year. */
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tishri1After = tishri1;
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(metonicCycle,metonicYear,day,halakim) = FindTishriMolad(day-365)
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tishri1 = Tishri1(metonicYear, day, halakim)
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yearLength = tishri1After - tishri1;
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day = inputDay - tishri1 - 29;
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if yearLength == 355 or yearLength == 385 :
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# Heshvan has 30 days
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if day <= 30:
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pMonth = 2
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pDay = day
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return (pYear,pMonth,pDay)
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day = day - 30
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else:
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# Heshvan has 29 days
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if day <= 29:
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pMonth = 2
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pDay = day
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return (pYear,pMonth,pDay)
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day = day - 29
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# It has to be Kislev
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return (pYear,3,day)
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def jewish_to_sdn(year, month, day):
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if year <= 0 or day <= 0 or day > 30 :
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return 0
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if month == 1 or month == 2:
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# It is Tishri or Heshvan - don't need the year length.
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(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1) = FindStartOfYear(year)
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if month == 1:
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sdn = tishri1 + day - 1
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else:
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sdn = tishri1 + day + 29
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elif month == 3:
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# It is Kislev - must find the year length.
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# Find the start of the year.
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(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1) = FindStartOfYear(year)
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# Find the end of the year.
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moladHalakim = moladHalakim + (_HALAKIM_PER_LUNAR_CYCLE*monthsPerYear[metonicYear])
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moladDay = moladDay + (moladHalakim / _HALAKIM_PER_DAY)
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moladHalakim = moladHalakim % _HALAKIM_PER_DAY
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tishri1After = Tishri1((metonicYear + 1) % 19, moladDay, moladHalakim)
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yearLength = tishri1After - tishri1
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if yearLength == 355 or yearLength == 385:
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sdn = tishri1 + day + 59
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else:
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sdn = tishri1 + day + 58
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elif month == 4 or month == 5 or month == 6:
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# It is Tevet, Shevat or Adar I - don't need the year length
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(metonicCycle,metonicYear,moladDay,moladHalakim,tishri1After) = FindStartOfYear(year+1)
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if monthsPerYear[(year - 1) % 19] == 12:
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lengthOfAdarIAndII = 29
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else:
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lengthOfAdarIAndII = 59
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if month == 4:
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sdn = tishri1After + day - lengthOfAdarIAndII - 237
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elif month == 5:
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sdn = tishri1After + day - lengthOfAdarIAndII - 208
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else:
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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
|