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-/* $selId: jewish.c,v 2.0 1995/10/24 01:13:06 lees Exp $
- * Copyright 1993-1995, Scott E. Lee, all rights reserved.
- * Permission granted to use, copy, modify, distribute and sell so long as
- * the above copyright and this permission statement are retained in all
- * copies. THERE IS NO WARRANTY - USE AT YOUR OWN RISK.
- */
-
-/**************************************************************************
- *
- * These are the externally visible components of this file:
- *
- * void
- * SdnToJewish(
- * long int sdn,
- * int *pYear,
- * int *pMonth,
- * int *pDay);
- *
- * Convert a SDN to a Jewish calendar date. If the input SDN is before the
- * first day of year 1, the three output values will all be set to zero,
- * otherwise *pYear will be > 0; *pMonth will be in the range 1 to 13
- * inclusive; *pDay will be in the range 1 to 30 inclusive. Note that Adar
- * II is assigned the month number 7 and Elul is always 13.
- *
- * long int
- * JewishToSdn(
- * int year,
- * int month,
- * int day);
- *
- * Convert a Jewish calendar date to a SDN. Zero is returned when the
- * input date is detected as invalid or out of the supported range. The
- * return value will be > 0 for all valid, supported dates, but there are
- * some invalid dates that will return a positive value. To verify that a
- * date is valid, convert it to SDN and then back and compare with the
- * original.
- *
- * char *JewishMonthName[14];
- *
- * Convert a Jewish month number (1 to 13) to the name of the Jewish month
- * (null terminated). An index of zero will return a zero length string.
- *
- * VALID RANGE
- *
- * Although this software can handle dates all the way back to the year
- * 1 (3761 B.C.), such use may not be meaningful.
- *
- * The Jewish calendar has been in use for several thousand years, but
- * in the early days there was no formula to determine the start of a
- * month. A new month was started when the new moon was first
- * observed.
- *
- * It is not clear when the current rule based calendar replaced the
- * observation based calendar. According to the book "Jewish Calendar
- * Mystery Dispelled" by George Zinberg, the patriarch Hillel II
- * published these rules in 358 A.D. But, according to The
- * Encyclopedia Judaica, Hillel II may have only published the 19 year
- * rule for determining the occurrence of leap years.
- *
- * I have yet to find a specific date when the current set of rules
- * were known to be in use.
- *
- * CALENDAR OVERVIEW
- *
- * The Jewish calendar is based on lunar as well as solar cycles. A
- * month always starts on or near a new moon and has either 29 or 30
- * days (a lunar cycle is about 29 1/2 days). Twelve of these
- * alternating 29-30 day months gives a year of 354 days, which is
- * about 11 1/4 days short of a solar year.
- *
- * Since a month is defined to be a lunar cycle (new moon to new moon),
- * this 11 1/4 day difference cannot be overcome by adding days to a
- * month as with the Gregorian calendar, so an entire month is
- * periodically added to the year, making some years 13 months long.
- *
- * For astronomical as well as ceremonial reasons, the start of a new
- * year may be delayed until a day or two after the new moon causing
- * years to vary in length. Leap years can be from 383 to 385 days and
- * common years can be from 353 to 355 days. These are the months of
- * the year and their possible lengths:
- *
- * COMMON YEAR LEAP YEAR
- * 1 Tishri 30 30 30 30 30 30
- * 2 Heshvan 29 29 30 29 29 30 (variable)
- * 3 Kislev 29 30 30 29 30 30 (variable)
- * 4 Tevet 29 29 29 29 29 29
- * 5 Shevat 30 30 30 30 30 30
- * 6 Adar I 29 29 29 30 30 30 (variable)
- * 7 Adar II -- -- -- 29 29 29 (optional)
- * 8 Nisan 30 30 30 30 30 30
- * 9 Iyyar 29 29 29 29 29 29
- * 10 Sivan 30 30 30 30 30 30
- * 11 Tammuz 29 29 29 29 29 29
- * 12 Av 30 30 30 30 30 30
- * 13 Elul 29 29 29 29 29 29
- * --- --- --- --- --- ---
- * 353 354 355 383 384 385
- *
- * Note that the month names and other words that appear in this file
- * have multiple possible spellings in the Roman character set. I have
- * chosen to use the spellings found in the Encyclopedia Judaica.
- *
- * Adar II, the month added for leap years, is sometimes referred to as
- * the 13th month, but I have chosen to assign it the number 7 to keep
- * the months in chronological order. This may not be consistent with
- * other numbering schemes.
- *
- * Leap years occur in a fixed pattern of 19 years called the metonic
- * cycle. The 3rd, 6th, 8th, 11th, 14th, 17th and 19th years of this
- * cycle are leap years. The first metonic cycle starts with Jewish
- * year 1, or 3761/60 B.C. This is believed to be the year of
- * creation.
- *
- * To construct the calendar for a year, you must first find the length
- * of the year by determining the first day of the year (Tishri 1, or
- * Rosh Ha-Shanah) and the first day of the following year. This
- * selects one of the six possible month length configurations listed
- * above.
- *
- * Finding the first day of the year is the most difficult part.
- * Finding the date and time of the new moon (or molad) is the first
- * step. For this purpose, the lunar cycle is assumed to be 29 days 12
- * hours and 793 halakim. A halakim is 1/1080th of an hour or 3 1/3
- * seconds. (This assumed value is only about 1/2 second less than the
- * value used by modern astronomers -- not bad for a number that was
- * determined so long ago.) The first molad of year 1 occurred on
- * Sunday at 11:20:11 P.M. This would actually be Monday, because the
- * Jewish day is considered to begin at sunset.
- *
- * Since sunset varies, the day is assumed to begin at 6:00 P.M. for
- * calendar calculation purposes. So, the first molad was 5 hours 793
- * halakim after the start of Tishri 1, 0001 (which was Monday
- * September 7, 4761 B.C. by the Gregorian calendar). All subsequent
- * molads can be calculated from this starting point by adding the
- * length of a lunar cycle.
- *
- * Once the molad that starts a year is determined the actual start of
- * the year (Tishri 1) can be determined. Tishri 1 will be the day of
- * the molad unless it is delayed by one of the following four rules
- * (called dehiyyot). Each rule can delay the start of the year by one
- * day, and since rule #1 can combine with one of the other rules, it
- * can be delayed as much as two days.
- *
- * 1. Tishri 1 must never be Sunday, Wednesday or Friday. (This
- * is largely to prevent certain holidays from occurring on the
- * day before or after the Sabbath.)
- *
- * 2. If the molad occurs on or after noon, Tishri 1 must be
- * delayed.
- *
- * 3. If it is a common (not leap) year and the molad occurs on
- * Tuesday at or after 3:11:20 A.M., Tishri 1 must be delayed.
- *
- * 4. If it is the year following a leap year and the molad occurs
- * on Monday at or after 9:32:43 and 1/3 sec, Tishri 1 must be
- * delayed.
- *
- * GLOSSARY
- *
- * dehiyyot The set of 4 rules that determine when the new year
- * starts relative to the molad.
- *
- * halakim 1/1080th of an hour or 3 1/3 seconds.
- *
- * lunar cycle The period of time between mean conjunctions of the
- * sun and moon (new moon to new moon). This is
- * assumed to be 29 days 12 hours and 793 halakim for
- * calendar purposes.
- *
- * metonic cycle A 19 year cycle which determines which years are
- * leap years and which are common years. The 3rd,
- * 6th, 8th, 11th, 14th, 17th and 19th years of this
- * cycle are leap years.
- *
- * molad The date and time of the mean conjunction of the
- * sun and moon (new moon). This is the approximate
- * beginning of a month.
- *
- * Rosh Ha-Shanah The first day of the Jewish year (Tishri 1).
- *
- * Tishri The first month of the Jewish year.
- *
- * ALGORITHMS
- *
- * SERIAL DAY NUMBER TO JEWISH DATE
- *
- * The simplest approach would be to use the rules stated above to find
- * the molad of Tishri before and after the given day number. Then use
- * the molads to find Tishri 1 of the current and following years.
- * From this the length of the year can be determined and thus the
- * length of each month. But this method is used as a last resort.
- *
- * The first 59 days of the year are the same regardless of the length
- * of the year. As a result, only the day number of the start of the
- * year is required.
- *
- * Similarly, the last 6 months do not change from year to year. And
- * since it can be determined whether the year is a leap year by simple
- * division, the lengths of Adar I and II can be easily calculated. In
- * fact, all dates after the 3rd month are consistent from year to year
- * (once it is known whether it is a leap year).
- *
- * This means that if the given day number falls in the 3rd month or on
- * the 30th day of the 2nd month the length of the year must be found,
- * but in no other case.
- *
- * So, the approach used is to take the given day number and round it
- * to the closest molad of Tishri (first new moon of the year). The
- * rounding is not really to the *closest* molad, but is such that if
- * the day number is before the middle of the 3rd month the molad at
- * the start of the year is found, otherwise the molad at the end of
- * the year is found.
- *
- * Only if the day number is actually found to be in the ambiguous
- * period of 29 to 31 days is the other molad calculated.
- *
- * JEWISH DATE TO SERIAL DAY NUMBER
- *
- * The year number is used to find which 19 year metonic cycle contains
- * the date and which year within the cycle (this is a division and
- * modulus). This also determines whether it is a leap year.
- *
- * If the month is 1 or 2, the calculation is simple addition to the
- * first of the year.
- *
- * If the month is 8 (Nisan) or greater, the calculation is simple
- * subtraction from beginning of the following year.
- *
- * If the month is 4 to 7, it is considered whether it is a leap year
- * and then simple subtraction from the beginning of the following year
- * is used.
- *
- * Only if it is the 3rd month is both the start and end of the year
- * required.
- *
- * TESTING
- *
- * This algorithm has been tested in two ways. First, 510 dates from a
- * table in "Jewish Calendar Mystery Dispelled" were calculated and
- * compared to the table. Second, the calculation algorithm described
- * in "Jewish Calendar Mystery Dispelled" was coded and used to verify
- * all dates from the year 1 (3761 B.C.) to the year 13760 (10000
- * A.D.).
- *
- * The source code of the verification program is included in this
- * package.
- *
- * REFERENCES
- *
- * The Encyclopedia Judaica, the entry for "Calendar"
- *
- * The Jewish Encyclopedia
- *
- * Jewish Calendar Mystery Dispelled by George Zinberg, Vantage Press,
- * 1963
- *
- * The Comprehensive Hebrew Calendar by Arthur Spier, Behrman House
- *
- * The Book of Calendars [note that this work contains many typos]
- *
- **************************************************************************/
-
-#include "sdncal.h"
-
-#define HALAKIM_PER_HOUR 1080
-#define HALAKIM_PER_DAY 25920
-#define HALAKIM_PER_LUNAR_CYCLE ((29 * HALAKIM_PER_DAY) + 13753)
-#define HALAKIM_PER_METONIC_CYCLE (HALAKIM_PER_LUNAR_CYCLE * (12 * 19 + 7))
-
-#define JEWISH_SDN_OFFSET 347997
-#define NEW_MOON_OF_CREATION 31524
-
-#define SUNDAY 0
-#define MONDAY 1
-#define TUESDAY 2
-#define WEDNESDAY 3
-#define THURSDAY 4
-#define FRIDAY 5
-#define SATURDAY 6
-
-#define NOON (18 * HALAKIM_PER_HOUR)
-#define AM3_11_20 ((9 * HALAKIM_PER_HOUR) + 204)
-#define AM9_32_43 ((15 * HALAKIM_PER_HOUR) + 589)
-
-static int monthsPerYear[19] =
-{
-12, 12, 13, 12, 12, 13, 12, 13, 12, 12, 13, 12, 12, 13, 12, 12, 13, 12, 13
-};
-
-static int yearOffset[19] =
-{
- 0, 12, 24, 37, 49, 61, 74, 86, 99, 111, 123,
- 136, 148, 160, 173, 185, 197, 210, 222
-};
-
-char *JewishMonthName[14] =
-{
- "",
- "Tishri",
- "Heshvan",
- "Kislev",
- "Tevet",
- "Shevat",
- "AdarI",
- "AdarII",
- "Nisan",
- "Iyyar",
- "Sivan",
- "Tammuz",
- "Av",
- "Elul"
-};
-
-char *JewishMonthHebName[14] =
-{
- "",
- "תשרי",
- "חשון",
- "כסלו",
- "טבת",
- "שבט",
- "אדר",
- "'אדר ב",
- "ניסן",
- "אייר",
- "סיון",
- "תמוז",
- "אב",
- "אלול"
-};
-
-/************************************************************************
- * Given the year within the 19 year metonic cycle and the time of a molad
- * (new moon) which starts that year, this routine will calculate what day
- * will be the actual start of the year (Tishri 1 or Rosh Ha-Shanah). This
- * first day of the year will be the day of the molad unless one of 4 rules
- * (called dehiyyot) delays it. These 4 rules can delay the start of the
- * year by as much as 2 days.
- */
-static long int Tishri1(
- int metonicYear,
- long int moladDay,
- long int moladHalakim)
-{
- long int tishri1;
- int dow;
- int leapYear;
- int lastWasLeapYear;
-
- tishri1 = moladDay;
- dow = tishri1 % 7;
- leapYear = metonicYear == 2 || metonicYear == 5 || metonicYear == 7
- || metonicYear == 10 || metonicYear == 13 || metonicYear == 16
- || metonicYear == 18;
- lastWasLeapYear = metonicYear == 3 || metonicYear == 6
- || metonicYear == 8 || metonicYear == 11 || metonicYear == 14
- || metonicYear == 17 || metonicYear == 0;
-
- /* Apply rules 2, 3 and 4. */
- if ((moladHalakim >= NOON) ||
- ((!leapYear) && dow == TUESDAY && moladHalakim >= AM3_11_20) ||
- (lastWasLeapYear && dow == MONDAY && moladHalakim >= AM9_32_43)) {
- tishri1++;
- dow++;
- if (dow == 7) {
- dow = 0;
- }
- }
- /* Apply rule 1 after the others because it can cause an additional
- * delay of one day. */
- if (dow == WEDNESDAY || dow == FRIDAY || dow == SUNDAY) {
- tishri1++;
- }
- return (tishri1);
-}
-
-/************************************************************************
- * Given a metonic cycle number, calculate the date and time of the molad
- * (new moon) that starts that cycle. Since the length of a metonic cycle
- * is a constant, this is a simple calculation, except that it requires an
- * intermediate value which is bigger that 32 bits. Because this
- * intermediate value only needs 36 to 37 bits and the other numbers are
- * constants, the process has been reduced to just a few steps.
- */
-static void MoladOfMetonicCycle(
- int metonicCycle,
- long int *pMoladDay,
- long int *pMoladHalakim)
-{
- register unsigned long int r1, r2, d1, d2;
-
- /* 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 += metonicCycle * (HALAKIM_PER_METONIC_CYCLE & 0xFFFF);
- r2 = r1 >> 16;
- 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 -= d2 * HALAKIM_PER_DAY;
- r1 = (r2 << 16) | (r1 & 0xFFFF);
- d1 = r1 / HALAKIM_PER_DAY;
- r1 -= d1 * HALAKIM_PER_DAY;
-
- *pMoladDay = (d2 << 16) | d1;
- *pMoladHalakim = r1;
-}
-
-/************************************************************************
- * Given a day number, find the molad of Tishri (the new moon at the start
- * of a year) which is closest to that day number. It's not really the
- * *closest* molad that we want here. If the input day is in the first two
- * months, we want the molad at the start of the year. If the input day is
- * in the fourth to last months, we want the molad at the end of the year.
- * If the input day is in the third month, it doesn't matter which molad is
- * returned, because both will be required. This type of "rounding" allows
- * us to avoid calculating the length of the year in most cases.
- */
-static void FindTishriMolad(
- long int inputDay,
- int *pMetonicCycle,
- int *pMetonicYear,
- long int *pMoladDay,
- long int *pMoladHalakim)
-{
- long int moladDay;
- long int moladHalakim;
- int metonicCycle;
- int metonicYear;
-
- /* 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. */
- MoladOfMetonicCycle(metonicCycle, &moladDay, &moladHalakim);
-
- /* 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++;
- moladHalakim += HALAKIM_PER_METONIC_CYCLE;
- moladDay += moladHalakim / HALAKIM_PER_DAY;
- moladHalakim = moladHalakim % HALAKIM_PER_DAY;
- }
-
- /* Find the molad of Tishri closest to this date. */
- for (metonicYear = 0; metonicYear < 18; metonicYear++) {
- if (moladDay > inputDay - 74) {
- break;
- }
- moladHalakim += HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear];
- moladDay += moladHalakim / HALAKIM_PER_DAY;
- moladHalakim = moladHalakim % HALAKIM_PER_DAY;
- }
-
- *pMetonicCycle = metonicCycle;
- *pMetonicYear = metonicYear;
- *pMoladDay = moladDay;
- *pMoladHalakim = moladHalakim;
-}
-
-/************************************************************************
- * Given a year, find the number of the first day of that year and the date
- * and time of the starting molad.
- */
-static void FindStartOfYear(
- int year,
- int *pMetonicCycle,
- int *pMetonicYear,
- long int *pMoladDay,
- long int *pMoladHalakim,
- int *pTishri1)
-{
- *pMetonicCycle = (year - 1) / 19;
- *pMetonicYear = (year - 1) % 19;
- MoladOfMetonicCycle(*pMetonicCycle, pMoladDay, pMoladHalakim);
-
- *pMoladHalakim += HALAKIM_PER_LUNAR_CYCLE * yearOffset[*pMetonicYear];
- *pMoladDay += *pMoladHalakim / HALAKIM_PER_DAY;
- *pMoladHalakim = *pMoladHalakim % HALAKIM_PER_DAY;
-
- *pTishri1 = Tishri1(*pMetonicYear, *pMoladDay, *pMoladHalakim);
-}
-
-/************************************************************************
- * Given a serial day number (SDN), find the corresponding year, month and
- * day in the Jewish calendar. The three output values will always be
- * modified. If the input SDN is before the first day of year 1, they will
- * all be set to zero, otherwise *pYear will be > 0; *pMonth will be in the
- * range 1 to 13 inclusive; *pDay will be in the range 1 to 30 inclusive.
- */
-void SdnToJewish(
- long int sdn,
- int *pYear,
- int *pMonth,
- int *pDay)
-{
- long int inputDay;
- long int day;
- long int halakim;
- int metonicCycle;
- int metonicYear;
- int tishri1;
- int tishri1After;
- int yearLength;
-
- if (sdn <= JEWISH_SDN_OFFSET) {
- *pYear = 0;
- *pMonth = 0;
- *pDay = 0;
- return;
- }
- inputDay = sdn - JEWISH_SDN_OFFSET;
-
- FindTishriMolad(inputDay, &metonicCycle, &metonicYear, &day, &halakim);
- 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;
- }
- /* We need the length of the year to figure this out, so find
- * Tishri 1 of the next year. */
- halakim += HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear];
- 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;
- } else if (inputDay > tishri1 - 60) {
- *pMonth = 12;
- *pDay = inputDay - tishri1 + 60;
- } else if (inputDay > tishri1 - 89) {
- *pMonth = 11;
- *pDay = inputDay - tishri1 + 89;
- } else if (inputDay > tishri1 - 119) {
- *pMonth = 10;
- *pDay = inputDay - tishri1 + 119;
- } else if (inputDay > tishri1 - 148) {
- *pMonth = 9;
- *pDay = inputDay - tishri1 + 148;
- } else {
- *pMonth = 8;
- *pDay = inputDay - tishri1 + 178;
- }
- return;
- } else {
- if (monthsPerYear[(*pYear - 1) % 19] == 13) {
- *pMonth = 7;
- *pDay = inputDay - tishri1 + 207;
- if (*pDay > 0)
- return;
- (*pMonth)--;
- (*pDay) += 30;
- if (*pDay > 0)
- return;
- (*pMonth)--;
- (*pDay) += 30;
- } else {
- *pMonth = 6;
- *pDay = inputDay - tishri1 + 207;
- if (*pDay > 0)
- return;
- (*pMonth)--;
- (*pDay) += 30;
- }
- if (*pDay > 0)
- return;
- (*pMonth)--;
- (*pDay) += 29;
- if (*pDay > 0)
- return;
-
- /* We need the length of the year to figure this out, so find
- * Tishri 1 of this year. */
- tishri1After = tishri1;
- FindTishriMolad(day - 365,
- &metonicCycle, &metonicYear, &day, &halakim);
- tishri1 = Tishri1(metonicYear, day, halakim);
- }
- }
-
- yearLength = tishri1After - tishri1;
- day = inputDay - tishri1 - 29;
- if (yearLength == 355 || yearLength == 385) {
- /* Heshvan has 30 days */
- if (day <= 30) {
- *pMonth = 2;
- *pDay = day;
- return;
- }
- day -= 30;
- } else {
- /* Heshvan has 29 days */
- if (day <= 29) {
- *pMonth = 2;
- *pDay = day;
- return;
- }
- day -= 29;
- }
-
- /* It has to be Kislev. */
- *pMonth = 3;
- *pDay = day;
-}
-
-/************************************************************************
- * Given a year, month and day in the Jewish calendar, find the
- * corresponding serial day number (SDN). Zero is returned when the input
- * date is detected as invalid. The return value will be > 0 for all valid
- * dates, but there are some invalid dates that will return a positive
- * value. To verify that a date is valid, convert it to SDN and then back
- * and compare with the original.
- */
-long int JewishToSdn(
- int year,
- int month,
- int day)
-{
- long int sdn;
- int metonicCycle;
- int metonicYear;
- int tishri1;
- int tishri1After;
- long int moladDay;
- long int moladHalakim;
- int yearLength;
- int lengthOfAdarIAndII;
-
- if (year <= 0 || day <= 0 || day > 30) {
- return (0);
- }
- switch (month) {
- case 1:
- case 2:
- /* It is Tishri or Heshvan - don't need the year length. */
- FindStartOfYear(year, &metonicCycle, &metonicYear,
- &moladDay, &moladHalakim, &tishri1);
- if (month == 1) {
- sdn = tishri1 + day - 1;
- } else {
- sdn = tishri1 + day + 29;
- }
- break;
-
- case 3:
- /* It is Kislev - must find the year length. */
-
- /* Find the start of the year. */
- FindStartOfYear(year, &metonicCycle, &metonicYear,
- &moladDay, &moladHalakim, &tishri1);
-
- /* Find the end of the year. */
- moladHalakim += HALAKIM_PER_LUNAR_CYCLE * monthsPerYear[metonicYear];
- moladDay += moladHalakim / HALAKIM_PER_DAY;
- moladHalakim = moladHalakim % HALAKIM_PER_DAY;
- tishri1After = Tishri1((metonicYear + 1) % 19, moladDay, moladHalakim);
-
- yearLength = tishri1After - tishri1;
-
- if (yearLength == 355 || yearLength == 385) {
- sdn = tishri1 + day + 59;
- } else {
- sdn = tishri1 + day + 58;
- }
- break;
-
- case 4:
- case 5:
- case 6:
- /* It is Tevet, Shevat or Adar I - don't need the year length. */
-
- FindStartOfYear(year + 1, &metonicCycle, &metonicYear,
- &moladDay, &moladHalakim, &tishri1After);
-
- if (monthsPerYear[(year - 1) % 19] == 12) {
- lengthOfAdarIAndII = 29;
- } else {
- lengthOfAdarIAndII = 59;
- }
-
- if (month == 4) {
- sdn = tishri1After + day - lengthOfAdarIAndII - 237;
- } else if (month == 5) {
- sdn = tishri1After + day - lengthOfAdarIAndII - 208;
- } else {
- sdn = tishri1After + day - lengthOfAdarIAndII - 178;
- }
- break;
-
- default:
- /* It is Adar II or later - don't need the year length. */
- FindStartOfYear(year + 1, &metonicCycle, &metonicYear,
- &moladDay, &moladHalakim, &tishri1After);
-
- switch (month) {
- case 7:
- sdn = tishri1After + day - 207;
- break;
- case 8:
- sdn = tishri1After + day - 178;
- break;
- case 9:
- sdn = tishri1After + day - 148;
- break;
- case 10:
- sdn = tishri1After + day - 119;
- break;
- case 11:
- sdn = tishri1After + day - 89;
- break;
- case 12:
- sdn = tishri1After + day - 60;
- break;
- case 13:
- sdn = tishri1After + day - 30;
- break;
- default:
- return (0);
- }
- }
- return (sdn + JEWISH_SDN_OFFSET);
-}
-
-/*
- * Local variables:
- * tab-width: 4
- * c-basic-offset: 4
- * End:
- * vim600: sw=4 ts=4 fdm=marker
- * vim<600: sw=4 ts=4
- */