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- /**
- * @author duc
- *
- */
- public class VietCalendar {
- public static final double PI = Math.PI;
- /**
- *
- * @param dd
- * @param mm
- * @param yy
- * @return the number of days since 1 January 4713 BC (Julian calendar)
- */
- public static int jdFromDate(int dd, int mm, int yy) {
- int a = (14 - mm) / 12;
- int y = yy+4800-a;
- int m = mm+12*a-3;
- int jd = dd + (153*m+2)/5 + 365*y + y/4 - y/100 + y/400 - 32045;
- if (jd < 2299161) {
- jd = dd + (153*m+2)/5 + 365*y + y/4 - 32083;
- }
- //jd = jd - 1721425;
- return jd;
- }
- /**
- * http://www.tondering.dk/claus/calendar.html
- * Section: Is there a formula for calculating the Julian day number?
- * @param jd - the number of days since 1 January 4713 BC (Julian calendar)
- * @return
- */
- public static int[] jdToDate(int jd) {
- int a, b, c;
- if (jd > 2299160) { // After 5/10/1582, Gregorian calendar
- a = jd + 32044;
- b = (4*a+3)/146097;
- c = a - (b*146097)/4;
- } else {
- b = 0;
- c = jd + 32082;
- }
- int d = (4*c+3)/1461;
- int e = c - (1461*d)/4;
- int m = (5*e+2)/153;
- int day = e - (153*m+2)/5 + 1;
- int month = m + 3 - 12*(m/10);
- int year = b*100 + d - 4800 + m/10;
- return new int[]{day, month, year};
- }
- /**
- * Solar longitude in degrees
- * Algorithm from: Astronomical Algorithms, by Jean Meeus, 1998
- * @param jdn - number of days since noon UTC on 1 January 4713 BC
- * @return
- */
- public static double SunLongitude(double jdn) {
- //return CC2K.sunLongitude(jdn);
- return SunLongitudeAA98(jdn);
- }
- public static double SunLongitudeAA98(double jdn) {
- double T = (jdn - 2451545.0 ) / 36525; // Time in Julian centuries from 2000-01-01 12:00:00 GMT
- double T2 = T*T;
- double dr = PI/180; // degree to radian
- double M = 357.52910 + 35999.05030*T - 0.0001559*T2 - 0.00000048*T*T2; // mean anomaly, degree
- double L0 = 280.46645 + 36000.76983*T + 0.0003032*T2; // mean longitude, degree
- double DL = (1.914600 - 0.004817*T - 0.000014*T2)*Math.sin(dr*M);
- DL = DL + (0.019993 - 0.000101*T)*Math.sin(dr*2*M) + 0.000290*Math.sin(dr*3*M);
- double L = L0 + DL; // true longitude, degree
- L = L - 360*(INT(L/360)); // Normalize to (0, 360)
- return L;
- }
- public static double NewMoon(int k) {
- //return CC2K.newMoonTime(k);
- return NewMoonAA98(k);
- }
- /**
- * Julian day number of the kth new moon after (or before) the New Moon of 1900-01-01 13:51 GMT.
- * Accuracy: 2 minutes
- * Algorithm from: Astronomical Algorithms, by Jean Meeus, 1998
- * @param k
- * @return the Julian date number (number of days since noon UTC on 1 January 4713 BC) of the New Moon
- */
- public static double NewMoonAA98(int k) {
- double T = k/1236.85; // Time in Julian centuries from 1900 January 0.5
- double T2 = T * T;
- double T3 = T2 * T;
- double dr = PI/180;
- double Jd1 = 2415020.75933 + 29.53058868*k + 0.0001178*T2 - 0.000000155*T3;
- Jd1 = Jd1 + 0.00033*Math.sin((166.56 + 132.87*T - 0.009173*T2)*dr); // Mean new moon
- double M = 359.2242 + 29.10535608*k - 0.0000333*T2 - 0.00000347*T3; // Sun's mean anomaly
- double Mpr = 306.0253 + 385.81691806*k + 0.0107306*T2 + 0.00001236*T3; // Moon's mean anomaly
- double F = 21.2964 + 390.67050646*k - 0.0016528*T2 - 0.00000239*T3; // Moon's argument of latitude
- double C1=(0.1734 - 0.000393*T)*Math.sin(M*dr) + 0.0021*Math.sin(2*dr*M);
- C1 = C1 - 0.4068*Math.sin(Mpr*dr) + 0.0161*Math.sin(dr*2*Mpr);
- C1 = C1 - 0.0004*Math.sin(dr*3*Mpr);
- C1 = C1 + 0.0104*Math.sin(dr*2*F) - 0.0051*Math.sin(dr*(M+Mpr));
- C1 = C1 - 0.0074*Math.sin(dr*(M-Mpr)) + 0.0004*Math.sin(dr*(2*F+M));
- C1 = C1 - 0.0004*Math.sin(dr*(2*F-M)) - 0.0006*Math.sin(dr*(2*F+Mpr));
- C1 = C1 + 0.0010*Math.sin(dr*(2*F-Mpr)) + 0.0005*Math.sin(dr*(2*Mpr+M));
- double deltat;
- if (T < -11) {
- deltat= 0.001 + 0.000839*T + 0.0002261*T2 - 0.00000845*T3 - 0.000000081*T*T3;
- } else {
- deltat= -0.000278 + 0.000265*T + 0.000262*T2;
- };
- double JdNew = Jd1 + C1 - deltat;
- return JdNew;
- }
- public static int INT(double d) {
- return (int)Math.floor(d);
- }
- public static double getSunLongitude(int dayNumber, double timeZone) {
- return SunLongitude(dayNumber - 0.5 - timeZone/24);
- }
- public static int getNewMoonDay(int k, double timeZone) {
- double jd = NewMoon(k);
- return INT(jd + 0.5 + timeZone/24);
- }
- public static int getLunarMonth11(int yy, double timeZone) {
- double off = jdFromDate(31, 12, yy) - 2415021.076998695;
- int k = INT(off / 29.530588853);
- int nm = getNewMoonDay(k, timeZone);
- int sunLong = INT(getSunLongitude(nm, timeZone)/30);
- if (sunLong >= 9) {
- nm = getNewMoonDay(k-1, timeZone);
- }
- return nm;
- }
- public static int getLeapMonthOffset(int a11, double timeZone) {
- int k = INT(0.5 + (a11 - 2415021.076998695) / 29.530588853);
- int last; // Month 11 contains point of sun longutide 3*PI/2 (December solstice)
- int i = 1; // We start with the month following lunar month 11
- int arc = INT(getSunLongitude(getNewMoonDay(k+i, timeZone), timeZone)/30);
- do {
- last = arc;
- i++;
- arc = INT(getSunLongitude(getNewMoonDay(k+i, timeZone), timeZone)/30);
- } while (arc != last && i < 14);
- return i-1;
- }
- /**
- *
- * @param dd
- * @param mm
- * @param yy
- * @param timeZone
- * @return array of [lunarDay, lunarMonth, lunarYear, leapOrNot]
- */
- public static int[] convertSolar2Lunar(int dd, int mm, int yy, double timeZone) {
- int lunarDay, lunarMonth, lunarYear, lunarLeap;
- int dayNumber = jdFromDate(dd, mm, yy);
- int k = INT((dayNumber - 2415021.076998695) / 29.530588853);
- int monthStart = getNewMoonDay(k+1, timeZone);
- if (monthStart > dayNumber) {
- monthStart = getNewMoonDay(k, timeZone);
- }
- int a11 = getLunarMonth11(yy, timeZone);
- int b11 = a11;
- if (a11 >= monthStart) {
- lunarYear = yy;
- a11 = getLunarMonth11(yy-1, timeZone);
- } else {
- lunarYear = yy+1;
- b11 = getLunarMonth11(yy+1, timeZone);
- }
- lunarDay = dayNumber-monthStart+1;
- int diff = INT((monthStart - a11)/29);
- lunarLeap = 0;
- lunarMonth = diff+11;
- if (b11 - a11 > 365) {
- int leapMonthDiff = getLeapMonthOffset(a11, timeZone);
- if (diff >= leapMonthDiff) {
- lunarMonth = diff + 10;
- if (diff == leapMonthDiff) {
- lunarLeap = 1;
- }
- }
- }
- if (lunarMonth > 12) {
- lunarMonth = lunarMonth - 12;
- }
- if (lunarMonth >= 11 && diff < 4) {
- lunarYear -= 1;
- }
- return new int[]{lunarDay, lunarMonth, lunarYear, lunarLeap};
- }
- public static int[] convertLunar2Solar(int lunarDay, int lunarMonth, int lunarYear, int lunarLeap, double timeZone) {
- int a11, b11;
- if (lunarMonth < 11) {
- a11 = getLunarMonth11(lunarYear-1, timeZone);
- b11 = getLunarMonth11(lunarYear, timeZone);
- } else {
- a11 = getLunarMonth11(lunarYear, timeZone);
- b11 = getLunarMonth11(lunarYear+1, timeZone);
- }
- int k = INT(0.5 + (a11 - 2415021.076998695) / 29.530588853);
- int off = lunarMonth - 11;
- if (off < 0) {
- off += 12;
- }
- if (b11 - a11 > 365) {
- int leapOff = getLeapMonthOffset(a11, timeZone);
- int leapMonth = leapOff - 2;
- if (leapMonth < 0) {
- leapMonth += 12;
- }
- if (lunarLeap != 0 && lunarMonth != leapMonth) {
- System.out.println("Invalid input!");
- return new int[]{0, 0, 0};
- } else if (lunarLeap != 0 || off >= leapOff) {
- off += 1;
- }
- }
- int monthStart = getNewMoonDay(k+off, timeZone);
- return jdToDate(monthStart+lunarDay-1);
- }
- public static void main(String[] args) {
- double TZ = 7.0;
- int start = jdFromDate(1, 1, 2001);
- int step = 15;
- int count = -1;
- while (count++ < 240) {
- int jd = start + step*count;
- int[] s = jdToDate(jd);
- int[] l = convertSolar2Lunar(s[0], s[1], s[2], TZ);
- int[] s2 = convertLunar2Solar(l[0], l[1], l[2], l[3], TZ);
- if (s[0] == s2[0] && s[1] == s2[1] && s[2] == s2[2]) {
- System.out.println("OK! "+s[0]+"/"+s[1]+"/"+s[2]+" -> "+l[0]+"/"+l[1]+"/"+l[2]+(l[3] == 0 ? "" : " leap"));
- } else {
- System.err.println("ERROR! "+s[0]+"/"+s[1]+"/"+s[2]+" -> "+l[0]+"/"+l[1]+"/"+l[2]+(l[3] == 0 ? "" : " leap"));
- }
- }
- }
- }
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