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\ProvidesPackage{hebrewcal}
[2022/07/18 v2.8 %
Hebrew calendar for polyglossia (adapted from hebcal.sty in Babel)]
\RequirePackage{iftex}
\ifluatex
\RequirePackage{luabidi}
\else
\RequirePackage{bidi}
\fi
%% TODO rewrite this on the basis of Reingold & Dershowitz
%% on the model of hijrical (using calc)
\@ifundefined{@Remainder}{\input{cal-util.def}}{}
%
% OPTIONS
%
\RequirePackage{xkeyval}
% marcheshvan=true|false
\define@boolkey{hebrewcal}[@xpg@hebrew@]{marcheshvan}[true]{}
% fullyear=true|false
\define@boolkey{hebrewcal}[@xpg@hebrew@]{fullyear}[true]{}
% transliteration=academy|alt
\newif\if@hebrewcal@academytrans
\@hebrewcal@academytransfalse
\define@choicekey*+{hebrewcal}{transliteration}[\hcal@val\hcal@nr]{academy,alt}[alt]{%
\ifcase\hcal@nr\relax
% academy:
\@hebrewcal@academytranstrue
\or
% alt:
\@hebrewcal@academytransfalse
\fi
\PackageInfo{hebrewcal}{Setting transliteration=\hcal@val}%
}{%
\PackageWarning{hebrewcal}{Unknown transliteration option `#1'}%
}
% Process
\ProcessOptionsX*<hebrewcal>
%%
%% END OPTIONS
\newcount\hebrewday \newcount\hebrewmonth \newcount\hebrewyear
\def\hebrewdate#1#2#3{%
\HebrewFromGregorian{#1}{#2}{#3}%
{\hebrewday}{\hebrewmonth}{\hebrewyear}%
\if@RTL%
\@FormatForHebrew{\hebrewday}{\hebrewmonth}{\hebrewyear}%
\else%
\@FormatForEnglish{\hebrewday}{\hebrewmonth}{\hebrewyear}%
\fi}
\def\hebrewtoday{\hebrewdate{\day}{\month}{\year}}
% The command name is capitalised in the doc, and this is consistent
% with other names such as \Hijritoday and \Jalalitoday.
\let\Hebrewtoday=\hebrewtoday
\def\hebrewsetreg{%
\HebrewFromGregorian{\day}{\month}{\year}%
{\hebrewday}{\hebrewmonth}{\hebrewyear}}
\def\HebrewYearName#1{{%
\@tempcnta=#1\divide\@tempcnta by 1000\multiply\@tempcnta by 1000
\ifnum#1=\@tempcnta\relax % divisible by 1000: disambiguate
\Hebrewnumeral{#1}\ (לפ"ג)%
\else % not divisible by 1000
\ifnum#1<1000\relax % first millennium: disambiguate
\Hebrewnumeral{#1}\ (לפ"ג)%
\else
\ifnum#1<5000
\Hebrewnumeral{#1}%
\else
\ifnum#1<6000 % current millenium, print without thousands
\@tempcnta=#1\relax
\if@xpg@hebrew@fullyear\else\advance\@tempcnta by -5000\fi
\Hebrewnumeral{\@tempcnta}%
\else % #1>6000
\Hebrewnumeral{#1}%
\fi
\fi
\fi
\fi}}
\def\HebrewMonthName#1#2{%
\ifnum #1 = 7 %
\@CheckLeapHebrewYear{#2}%
\if@HebrewLeap אדר\ ב'%
\else אדר%
\fi%
\else%
\ifcase#1%
% nothing for 0
\or תשרי%
\or\if@xpg@hebrew@marcheshvan מרחשון\else חשון\fi%
\or כסלו%
\or טבת%
\or שבט%
\or אדר\ א'%
\or אדר\ ב'%
\or ניסן%
\or אייר%
\or סיון%
\or תמוז%
\or אב%
\or אלול%
\fi%
\fi}
\def\@FormatForHebrew#1#2#3{%
\Hebrewnumeral{#1}~ב\HebrewMonthName{#2}{#3}~%
\HebrewYearName{#3}}
\def\HebrewMonthNameInEnglish#1#2{%
\ifnum #1 = 7%
\@CheckLeapHebrewYear{#2}%
\if@HebrewLeap Adar II\else Adar\fi%
\else%
\ifcase #1%
% nothing for 0
\or \if@hebrewcal@academytrans Tishri \else Tishrei \fi%
\or%
\if@hebrewcal@academytrans%
\if@xpg@hebrew@marcheshvan Marẖeshvan\else Heshvan\fi%
\else%
\if@xpg@hebrew@marcheshvan Marcheshvan\else Heshvan\fi%
\fi%
\or Kislev%
\or \if@hebrewcal@academytrans Tevet \else Tebeth \fi%
\or \if@hebrewcal@academytrans Shvat \else Shebat \fi%
\or Adar I%
\or Adar II%
\or Nisan%
\or \if@hebrewcal@academytrans Iyyar \else Iyar \fi%
\or Sivan%
\or Tammuz%
\or \if@hebrewcal@academytrans Av \else Ab \fi%
\or Elul%
\fi
\fi}
\def\@FormatForEnglish#1#2#3{%
\HebrewMonthNameInEnglish{#2}{#3} \number#1,\ \number#3}
\newcount\@common
\newif\if@HebrewLeap
\def\@CheckLeapHebrewYear#1{%
{%
\countdef\tmpa = 0% % \tmpa==\count0
\countdef\tmpb = 1% % \tmpb==\count1
\tmpa = #1%
\multiply \tmpa by 7%
\advance \tmpa by 1%
\@Remainder{\tmpa}{19}{\tmpb}%
\ifnum \tmpb < 7% % \tmpb = (7*year+1)%19
\global\@HebrewLeaptrue%
\else%
\global\@HebrewLeapfalse%
\fi}}
\def\@HebrewElapsedMonths#1#2{%
{%
\countdef\tmpa = 0% % \tmpa==\count0
\countdef\tmpb = 1% % \tmpb==\count1
\countdef\tmpc = 2% % \tmpc==\count2
\tmpa = #1% %
\advance \tmpa by -1% %
#2 = \tmpa% % #2 = \tmpa = year-1
\divide #2 by 19% % Number of complete Meton cycles
\multiply #2 by 235% % #2 = 235*((year-1)/19)
\@Remainder{\tmpa}{19}{\tmpb}% \tmpa = years%19-years this cycle
\tmpc = \tmpb% %
\multiply \tmpb by 12% %
\advance #2 by \tmpb% % add regular months this cycle
\multiply \tmpc by 7% %
\advance \tmpc by 1% %
\divide \tmpc by 19% % \tmpc = (1+7*((year-1)%19))/19 -
\advance #2 by \tmpc% % add leap months
\global\@common = #2}%
#2 = \@common}
\def\@HebrewElapsedDays#1#2{%
{%
\countdef\tmpa = 0% % \tmpa==\count0
\countdef\tmpb = 1% % \tmpb==\count1
\countdef\tmpc = 2% % \tmpc==\count2
\@HebrewElapsedMonths{#1}{#2}%
\tmpa = #2% %
\multiply \tmpa by 13753% %
\advance \tmpa by 5604% % \tmpa=MonthsElapsed*13758 + 5604
\@Remainder{\tmpa}{25920}{\tmpc}% \tmpc == ConjunctionParts
\divide \tmpa by 25920%
\multiply #2 by 29%
\advance #2 by 1%
\advance #2 by \tmpa% % #2 = 1 + MonthsElapsed*29 +
\@Remainder{#2}{7}{\tmpa}% % \tmpa == DayOfWeek
\ifnum \tmpc < 19440%
\ifnum \tmpc < 9924%
\else% % New moon at 9 h. 204 p. or later
\ifnum \tmpa = 2% % on Tuesday ...
\@CheckLeapHebrewYear{#1}% of a common year
\if@HebrewLeap%
\else%
\advance #2 by 1%
\fi%
\fi%
\fi%
\ifnum \tmpc < 16789%
\else% % New moon at 15 h. 589 p. or later
\ifnum \tmpa = 1% % on Monday ...
\advance #1 by -1%
\@CheckLeapHebrewYear{#1}% at the end of leap year
\if@HebrewLeap%
\advance #2 by 1%
\fi%
\fi%
\fi%
\else%
\advance #2 by 1% % new moon at or after midday
\fi%
\@Remainder{#2}{7}{\tmpa}% % \tmpa == DayOfWeek
\ifnum \tmpa = 0% % if Sunday ...
\advance #2 by 1%
\else% %
\ifnum \tmpa = 3% % Wednesday ...
\advance #2 by 1%
\else%
\ifnum \tmpa = 5% % or Friday
\advance #2 by 1%
\fi%
\fi%
\fi%
\global\@common = #2}%
#2 = \@common}
\def\@DaysInHebrewYear#1#2{%
{%
\countdef\tmpe = 12% % \tmpe==\count12
\@HebrewElapsedDays{#1}{\tmpe}%
\advance #1 by 1%
\@HebrewElapsedDays{#1}{#2}%
\advance #2 by -\tmpe%
\global\@common = #2}%
#2 = \@common}
\def\@HebrewDaysInPriorMonths#1#2#3{%
{%
\countdef\tmpf= 14% % \tmpf==\count14
#3 = \ifcase #1% % Days in prior month of regular year
0 \or% % no month number 0
0 \or% % Tishri
30 \or% % Heshvan
59 \or% % Kislev
89 \or% % Tevet
118 \or% % Shvat
148 \or% % Adar I
148 \or% % Adar II
177 \or% % Nisan
207 \or% % Iyyar
236 \or% % Sivan
266 \or% % Tammuz
295 \or% % Av
325 \or% % Elul
400% % Dummy
\fi%
\@CheckLeapHebrewYear{#2}%
\if@HebrewLeap% % in leap year
\ifnum #1 > 6% % if month after Adar I
\advance #3 by 30% % add 30 days
\fi%
\fi%
\@DaysInHebrewYear{#2}{\tmpf}%
\ifnum #1 > 3%
\ifnum \tmpf = 353% %
\advance #3 by -1% %
\fi% % Short Kislev
\ifnum \tmpf = 383% %
\advance #3 by -1% %
\fi% %
\fi%
\ifnum #1 > 2%
\ifnum \tmpf = 355% %
\advance #3 by 1% %
\fi% % Long Heshvan
\ifnum \tmpf = 385% %
\advance #3 by 1% %
\fi% %
\fi%
\global\@common = #3}%
#3 = \@common}
\def\@FixedFromHebrew#1#2#3#4{%
{%
#4 = #1%
\@HebrewDaysInPriorMonths{#2}{#3}{#1}%
\advance #4 by #1% % Add days in prior months this year
\@HebrewElapsedDays{#3}{#1}%
\advance #4 by #1% % Add days in prior years
\advance #4 by -1373429% % Subtract days before Gregorian
\global\@common = #4}% % 01.01.0001
#4 = \@common}
\def\@GregorianDaysInPriorMonths#1#2#3{%
{%
#3 = \ifcase #1%
0 \or% % no month number 0
0 \or%
31 \or%
59 \or%
90 \or%
120 \or%
151 \or%
181 \or%
212 \or%
243 \or%
273 \or%
304 \or%
334%
\fi%
\@CheckIfGregorianLeap{#2}%
\if@GregorianLeap%
\ifnum #1 > 2% % if month after February
\advance #3 by 1% % add leap day
\fi%
\fi%
\global\@common = #3}%
#3 = \@common}
\def\@GregorianDaysInPriorYears#1#2{%
{%
\countdef\tmpc = 4% % \tmpc==\count4
\countdef\tmpb = 2% % \tmpb==\count2
\tmpb = #1% %
\advance \tmpb by -1% %
\tmpc = \tmpb% % \tmpc = \tmpb = year-1
\multiply \tmpc by 365% % Days in prior years =
#2 = \tmpc% % = 365*(year-1) ...
\tmpc = \tmpb% %
\divide \tmpc by 4% % \tmpc = (year-1)/4
\advance #2 by \tmpc% % ... plus Julian leap days ...
\tmpc = \tmpb% %
\divide \tmpc by 100% % \tmpc = (year-1)/100
\advance #2 by -\tmpc% % ... minus century years ...
\tmpc = \tmpb% %
\divide \tmpc by 400% % \tmpc = (year-1)/400
\advance #2 by \tmpc% % ... plus 4-century years.
\global\@common = #2}%
#2 = \@common}
\def\@AbsoluteFromGregorian#1#2#3#4{%
{%
\countdef\tmpd = 0% % \tmpd==\count0
#4 = #1% % days so far this month
\@GregorianDaysInPriorMonths{#2}{#3}{\tmpd}%
\advance #4 by \tmpd% % add days in prior months
\@GregorianDaysInPriorYears{#3}{\tmpd}%
\advance #4 by \tmpd% % add days in prior years
\global\@common = #4}%
#4 = \@common}
\def\HebrewFromGregorian#1#2#3#4#5#6{%
{%
\countdef\tmpx= 17% % \tmpx==\count17
\countdef\tmpy= 18% % \tmpy==\count18
\countdef\tmpz= 19% % \tmpz==\count19
#6 = #3% %
\global\advance #6 by 3761% approximation from above
\@AbsoluteFromGregorian{#1}{#2}{#3}{#4}%
\tmpz = 1 \tmpy = 1%
\@FixedFromHebrew{\tmpz}{\tmpy}{#6}{\tmpx}%
\ifnum \tmpx > #4% %
\global\advance #6 by -1% Hyear = Gyear + 3760
\@FixedFromHebrew{\tmpz}{\tmpy}{#6}{\tmpx}%
\fi% %
\advance #4 by -\tmpx% % Days in this year
\advance #4 by 1% %
#5 = #4% %
\divide #5 by 30% % Approximation for month from below
\loop% % Search for month
\@HebrewDaysInPriorMonths{#5}{#6}{\tmpx}%
\ifnum \tmpx < #4%
\advance #5 by 1%
\tmpy = \tmpx%
\repeat%
\global\advance #5 by -1%
\global\advance #4 by -\tmpy%
}%
}
\endinput
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