import java.util.*;
import java.applet.*;
/** Easter - compute the day on which Easter falls.
*
* In the Christian religion, Easter is possibly the most important holiday
* of the year, so getting its date <I>just so</I> is worthwhile.
*
* @author: Ian F. Darwin, http://www.darwinsys.com/,
* based on a detailed algorithm in Knuth, vol 1, pg 155.
*
* @Version: $Id: Easter.java,v 1.5 2004/02/09 03:33:46 ian Exp $
* Written in C, Toronto, 1988. Java version 1996.
*
* @Note: It's not proven correct, although it gets the right answer for
* years around the present.
*/
public class Easter {
/* Compute the day of the year that Easter falls on.
* Step names E1 E2 etc., are direct references to Knuth, Vol 1, p 155.
* @exception IllegalArgumentexception If the year is before 1582 (since the
* algorithm only works on the Gregorian calendar).
*/
public static final Calendar findHolyDay(int year) {
if (year <= 1582) {
throw new IllegalArgumentException("Algorithm invalid before April 1583");
}
int golden, century, x, z, d, epact, n;
golden = (year % 19) + 1; /* E1: metonic cycle */
century = (year / 100) + 1; /* E2: e.g. 1984 was in 20th C */
x = (3*century/4) - 12; /* E3: leap year correction */
z = ((8*century+5) / 25) -5; /* E3: sync with moon's orbit */
d = (5*year/4) - x - 10;
epact = (11*golden + 20 + z - x) % 30; /* E5: epact */
if ((epact == 25 && golden > 11) || epact == 24)
epact++;
n = 44 - epact;
n += 30 * (n < 21?1:0); /* E6: */
n += 7 - ((d+n)%7);
if (n>31) /* E7: */
return new GregorianCalendar(year, 4-1, n-31); /* April */
else
return new GregorianCalendar(year, 3-1, n); /* March */
}
/** Main program, when used as a standalone application */
public static void main(String[] argv) {
if (argv.length == 0) {
int thisYear = new GregorianCalendar().get(Calendar.YEAR);
Calendar c = Easter.findHolyDay(thisYear);
System.out.println( c.getTime());
} else for (int i=0; i<argv.length; i++) {
int year = 0;
try {
year = Integer.parseInt(argv[i]);
System.out.println(Easter.findHolyDay(year).getTime());
} catch (IllegalArgumentException e) {
System.err.println("Year " + argv[i] + " invalid (" + e.getMessage() + ").");
}
}
}
}
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