xref: /freebsd/usr.bin/calendar/ostern.c (revision 389e4940069316fe667ffa263fa7d6390d0a960f)
1 /*-
2  * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
3  *
4  * Copyright (c) 1996 Wolfram Schneider <wosch@FreeBSD.org>. Berlin.
5  * All rights reserved.
6  *
7  * Redistribution and use in source and binary forms, with or without
8  * modification, are permitted provided that the following conditions
9  * are met:
10  * 1. Redistributions of source code must retain the above copyright
11  *    notice, this list of conditions and the following disclaimer.
12  * 2. Redistributions in binary form must reproduce the above copyright
13  *    notice, this list of conditions and the following disclaimer in the
14  *    documentation and/or other materials provided with the distribution.
15  *
16  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
17  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
19  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
20  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
22  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
23  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26  * SUCH DAMAGE.
27  */
28 
29 #include <sys/cdefs.h>
30 __FBSDID("$FreeBSD$");
31 
32 #include <stdio.h>
33 #include <stdlib.h>
34 #include <string.h>
35 
36 #include "calendar.h"
37 
38 /* return year day for Easter */
39 
40 /*
41  * This code is based on the Calendar FAQ's code for how to calculate
42  * easter is. This is the Gregorian calendar version. They refer to
43  * the Algorithm of Oudin in the "Explanatory Supplement to the
44  * Astronomical Almanac".
45  */
46 
47 int
48 easter(int year) /* 0 ... abcd, NOT since 1900 */
49 {
50 	int G,	/* Golden number - 1 */
51 	    C,	/* Century */
52 	    H,	/* 23 - epact % 30 */
53 	    I,	/* days from 21 March to Paschal full moon */
54 	    J,	/* weekday of full moon */
55 	    L;	/* days from 21 March to Sunday on of before full moon */
56 
57 	G = year % 19;
58 	C = year / 100;
59 	H = (C - C / 4 - (8 * C + 13) / 25 + 19 * G + 15) % 30;
60 	I = H - (H / 28) * (1 - (H / 28) * (29 / (H + 1)) * ((21 - G) / 11));
61 	J = (year + year / 4 + I + 2 - C + C / 4) % 7;
62 
63 	L = I - J;
64 
65 	if (isleap(year))
66 		return 31 + 29 + 21 + L + 7;
67 	else
68 		return 31 + 28 + 21 + L + 7;
69 }
70