xref: /freebsd/usr.bin/calendar/ostern.c (revision 40a8ac8f62b535d30349faf28cf47106b7041b83)
1 /*-
2  * Copyright (c) 1996 Wolfram Schneider <wosch@FreeBSD.org>. Berlin.
3  * All rights reserved.
4  *
5  * Redistribution and use in source and binary forms, with or without
6  * modification, are permitted provided that the following conditions
7  * are met:
8  * 1. Redistributions of source code must retain the above copyright
9  *    notice, this list of conditions and the following disclaimer.
10  * 2. Redistributions in binary form must reproduce the above copyright
11  *    notice, this list of conditions and the following disclaimer in the
12  *    documentation and/or other materials provided with the distribution.
13  *
14  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
15  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
16  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
17  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
18  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
19  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
20  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24  * SUCH DAMAGE.
25  */
26 
27 #include <sys/cdefs.h>
28 __FBSDID("$FreeBSD$");
29 
30 #include <stdio.h>
31 #include <stdlib.h>
32 #include <string.h>
33 
34 #include "calendar.h"
35 
36 /* return year day for Easter */
37 
38 /*
39  * This code is based on the Calendar FAQ's code for how to calculate
40  * easter is. This is the Gregorian calendar version. They refer to
41  * the Algorithm of Oudin in the "Explanatory Supplement to the
42  * Astronomical Almanac".
43  */
44 
45 int
46 easter(int year) /* 0 ... abcd, NOT since 1900 */
47 {
48 	int G,	/* Golden number - 1 */
49 	    C,	/* Century */
50 	    H,	/* 23 - epact % 30 */
51 	    I,	/* days from 21 March to Paschal full moon */
52 	    J,	/* weekday of full moon */
53 	    L;	/* days from 21 March to Sunday on of before full moon */
54 
55 	G = year % 19;
56 	C = year / 100;
57 	H = (C - C / 4 - (8 * C + 13) / 25 + 19 * G + 15) % 30;
58 	I = H - (H / 28) * (1 - (H / 28) * (29 / (H + 1)) * ((21 - G) / 11));
59 	J = (year + year / 4 + I + 2 - C + C / 4) % 7;
60 
61 	L = I - J;
62 
63 	if (isleap(year))
64 		return 31 + 29 + 21 + L + 7;
65 	else
66 		return 31 + 28 + 21 + L + 7;
67 }
68