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/* To find Easter day and the moveable feasts, according to BCP.
The Orthodox Church still uses the Julian calendar, so they are about
2 weeks different for everything. They and the Catholic Church
probably keep many more saints days. */
/* See README.easter.c for licence notice and bug warnings. */
/* 1999/10/26 hacked by cpbs@debian.org to generate a calendar(1)
file directly
*/
#include <stdio.h>
#include <time.h>
void syntax(char *program);
time_t easter(int year);
int calc_offset(int year);
void easter_sunday(struct tm *date);
void display_date(char *day, struct tm *date);
void feasts(struct tm *date);
struct tab {int month; int day;};
struct tab full_moons[] = {
/* month, day, golden number */
{0, 0},
{4, 14}, /* 1 */
{4, 3}, /* 2 */
{3, 23}, /* 3 */
{4, 11}, /* 4 */
{3, 31}, /* 5 */
{4, 18}, /* 6 */
{4, 8}, /* 7 */
{3, 28}, /* 8 */
{4, 16}, /* 9 */
{4, 5}, /* 10 */
{3, 25}, /* 11 */
{4, 13}, /* 12 */
{4, 2}, /* 13 */
{3, 22}, /* 14 */
{4, 10}, /* 15 */
{3, 30}, /* 16 */
{4, 17}, /* 17 */
{4, 7}, /* 18 */
{3, 27} /* 19 */
};
char *month[] = {
"January",
"February",
"March",
"April",
"May",
"June",
"July",
"August",
"September",
"October",
"November",
"December"
};
int main(int argc, char **argv) {
int year;
struct tm *dateptr;
time_t t;
/* for which year? */
switch (argc) {
case 1:
t = time(0);
dateptr = localtime(&t);
year = 1900 + dateptr->tm_year;
break;
case 2:
if (!sscanf(argv[1], "%d", &year)) {
syntax(argv[0]);
return(1);
}
if (year < 29) {
fprintf(stderr,"There can be no date for Easter before the resurrection of Jesus!\n");
/* and the formula wasn't settled until the 4th century */
return(3);
}
if (year < 1753) {
/* I think it was 1753 in Britain */
fprintf(stderr,"Warning: dates before 1753 were not according to the Gregorian calendar.\n");
return(3);
}
break;
default:
syntax(argv[0]);
return(1);
break;
}
t = easter(year);
dateptr = localtime(&t);
printf("/* Christian calendar for year %d (excluding fixed events)\n ", year);
easter_sunday(dateptr);
printf("*/\n\n", year);
feasts(dateptr);
return(0);
}
/* Display required syntax */
void syntax(char *program) {
fprintf(stderr, "%s: syntax error\n%s [year]\n", program, program);
}
/* Calculate Easter Day */
time_t easter(int year) {
int golden_number;
char sunday_letter;
int i, j;
struct tm date;
time_t second;
date.tm_sec = 0;
date.tm_min = 0;
date.tm_hour = 0;
date.tm_isdst = -1;
golden_number = (year + 1) % 19;
if (!golden_number) {
golden_number = 19;
}
j = calc_offset(year);
i = (year + year/4 + j) % 7;
sunday_letter = (!i ? 'A' : ('H' - i));
date.tm_wday = -1;
date.tm_yday = -1;
date.tm_mday = 19;
date.tm_mon = 2;
date.tm_year = (year - 1900);
second = mktime(&date); /* 19th March */
if (date.tm_wday == -1) {
fprintf(stderr,"Year %d is outside the Unix date range\n", year);
exit(2);
}
i = date.tm_yday; /* 3 days before the first possible Paschal
full moon */
date.tm_wday = -1;
date.tm_yday = -1;
date.tm_mday = full_moons[golden_number].day;
date.tm_mon = (full_moons[golden_number].month - 1);
second = mktime(&date); /* Paschal full moon */
if (date.tm_wday == -1) {
fprintf(stderr,"Year %d is outside the Unix date range\n", year);
exit(2);
}
for (j = i; j < date.tm_yday; j += 7);
j += (sunday_letter - 'A');
j = (j <= i) ? j + 7 : j;
date.tm_wday = -1;
date.tm_yday = -1;
date.tm_mday = j;
date.tm_mon = 0;
second = mktime(&date); /* Easter Day */
if (date.tm_wday != 0) {
fprintf(stderr, "Calculation failed!\n");
}
return (second);
}
/* The offset for the golden number depends on the century */
int calc_offset(int year) {
int i = 0;
i = (year / 100);
i -= (year / 400);
i = (i + 1) % 7;
if (i) {
i = 7 - i;
}
return (i);
}
/* Display the date of Easter Day */
void easter_sunday(struct tm *date) {
display_date("Easter Day", date);
}
void display_date(char *day, struct tm *date) {
printf("%3.3s %.2d\t%s\n", month[date->tm_mon], date->tm_mday, /* 1900+date->tm_year, */ day);
}
/* Display the moveable feasts */
void feasts(struct tm *date) {
struct tm d;
time_t t;
int j;
d = *date;
printf("/* Moveable feasts: */\n");
d.tm_mday -= (9 * 7); /* 9 weeks before Easter */
t = mktime(&d);
display_date("Septuagesima", &d);
d.tm_mday += 7; /* 8 weeks before Easter */
t = mktime(&d);
display_date("Sexagesima", &d);
d.tm_mday += 7; /* 7 weeks before Easter */
t = mktime(&d);
display_date("Quinquagesima", &d);
d = *date;
d.tm_mday -= 47; /* Shrove Tuesday */
t = mktime(&d);
display_date("Shrove Tuesday", &d);
d = *date;
d.tm_mday -= 46; /* Ash Wednesday */
t = mktime(&d);
display_date("Ash Wednesday", &d);
d = *date;
d.tm_mday -= (6 * 7); /* 6 weeks before Easter */
t = mktime(&d);
display_date("Quadragesima (1st Sunday of Lent)", &d);
/* Ember days -
Wednesday, Friday and Saturday after 1st Sunday of Lent */
d.tm_mday += 3; /* Wednesday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday += 2; /* Friday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday++; /* Saturday */
t = mktime(&d);
display_date("Ember day", &d);
d = *date;
d.tm_mday -= 7; /* 1 week before Easter */
t = mktime(&d);
display_date("Palm Sunday", &d);
d.tm_mday += 4; /* Maundy Thursday */
t = mktime(&d);
display_date("Maundy Thursday", &d);
d.tm_mday++; /* Good Friday */
t = mktime(&d);
display_date("Good Friday", &d);
easter_sunday(date);
d = *date;
d.tm_mday++; /* Easter Monday */
t = mktime(&d);
display_date("Easter Monday", &d);
d = *date;
d.tm_mday += (5 * 7); /* Rogation Sunday */
t = mktime(&d);
display_date("Rogation Sunday", &d);
/* Monday to Wednesday before Ascension are Rogation days */
d = *date;
d.tm_mday += 36; /* Monday */
t = mktime(&d);
display_date("Rogation Day", &d);
d.tm_mday++; /* Tuesday */
t = mktime(&d);
display_date("Rogation Day", &d);
d.tm_mday++; /* Wednesday */
t = mktime(&d);
display_date("Rogation Day", &d);
d.tm_mday++; /* Ascension Day */
t = mktime(&d);
display_date("Ascension Day", &d);
d = *date;
d.tm_mday += (7 * 7); /* Pentecost */
t = mktime(&d);
display_date("Pentecost", &d);
/* Ember days -
Wednesday, Friday and Saturday after Pentecost */
d.tm_mday += 2; /* Wednesday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday += 2; /* Friday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday++; /* Saturday */
t = mktime(&d);
display_date("Ember day", &d);
d = *date;
d.tm_mday += (8 * 7); /* Trinity Sunday */
t = mktime(&d);
display_date("Trinity Sunday", &d);
d.tm_mday += 4; /* Corpus Christi */
t = mktime(&d);
display_date("Corpus Christi", &d);
/* Ember days -
Wednesday, Friday and Saturday after 14th September */
d.tm_mday = 14;
d.tm_mon = 8; /* 14th September */
t = mktime(&d);
d.tm_mday += 3 - d.tm_wday + (d.tm_wday > 2 ? 7 : 0);
/* Wednesday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday += 2; /* Friday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday++; /* Saturday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday = 30;
d.tm_mon = 10; /* St Andrew's day */
t = mktime(&d);
j = ((d.tm_wday > 3) ?
d.tm_mday + 7 - d.tm_wday :
d.tm_mday - d.tm_wday); /* nearest Sunday is Advent Sunday */
d.tm_mday = j;
t = mktime(&d);
display_date("Advent Sunday (First Sunday of Advent)", &d);
/* Ember days -
Wednesday, Friday and Saturday after 13th December */
d.tm_mday = 13;
d.tm_mon = 11; /* 13th December */
t = mktime(&d);
d.tm_mday += 3 - d.tm_wday + (d.tm_wday > 2 ? 7 : 0);
/* Wednesday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday += 2; /* Friday */
t = mktime(&d);
display_date("Ember day", &d);
d.tm_mday++; /* Saturday */
t = mktime(&d);
display_date("Ember day", &d);
}
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