阴阳历算法
阴阳历算法 | |||
/* 西历农历转换程式 黄晓鸣 1995,7,25 prototype: int calconv( struct convdate * ); struct convdate { int source; ==0 则输入日期为西历, !=0 则输入为农历 int solaryear; 输出或输入之西历年份 int solarmonth; 西历月 int solardate; 西历日 int lunaryear; 输出或输入之农历年份 int lunarmonth; 农历月 int lunardate; 农历日 int weekday; 该日为星期几 ( 0==星期日, 1==星期一, ... ) int kan; 该日天干 ( 0==甲, 1==乙, ..., 9==癸 ) int chih; 该日地支 ( 0==子, 1==丑, ..., 11==亥 ) }; 呼叫时须设定 souce 的值, 若为 0 则为西历转农历, 否则为农历转西历. 然後视 输入为西历或农历来设定西历或农历的年月日. 转换後的年月日会填入结构中( 农 历或西历 ), 以及该日为星期几, 天干地支. 若函式的返回值为 0 表示没有错误, 1 为输入之年份错误, 2 为输入之月份错误, 3 为输入之日期错误. 输入之西历年须在 1937 - 2031 间 输入之农历年须在 1936 - 2030 间 若须扩充, 则增加 lunarcal[] */ #define firstyear 1936 /* the first year in lunarcal[] */ struct convdate { int source; int solaryear; int solarmonth; int solardate; int lunaryear; int lunarmonth; int lunardate; int weekday; int kan; int chih; }; struct taglunarcal { int basedays; /* 到西历 1 月 1 日到农历正月初一的累积日数 */ int intercalation; /* 闰月月份. 0==此年没有闰月 */ int baseweekday; /* 此年西历 1 月 1 日为星期几再减 1 */ int basekanchih; /* 此年西历 1 月 1 日之干支序号减 1 */ int monthdays[13]; /* 此农历年每月之大小, 0==小月(29日), 1==大月(30日)*/ }; struct taglunarcal lunarcal[] = { { 23, 3, 2, 17, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0 }, /* 1936 */ { 41, 0, 4, 23, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1 }, { 30, 7, 5, 28, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1 }, { 49, 0, 6, 33, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 }, { 38, 0, 0, 38, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 }, /* 1940 */ { 26, 6, 2, 44, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0 }, { 45, 0, 3, 49, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 }, { 35, 0, 4, 54, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1 }, { 24, 4, 5, 59, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 }, /* 1944 */ { 43, 0, 0, 5, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1 }, { 32, 0, 1, 10, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1 }, { 21, 2, 2, 15, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 }, { 40, 0, 3, 20, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 }, /* 1948 */ { 28, 7, 5, 26, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 }, { 47, 0, 6, 31, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1 }, { 36, 0, 0, 36, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 }, { 26, 5, 1, 41, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1 }, /* 1952 */ { 44, 0, 3, 47, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1 }, { 33, 0, 4, 52, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0 }, { 23, 3, 5, 57, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1 }, { 42, 0, 6, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1 }, /* 1956 */ { 30, 8, 1, 8, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0 }, { 48, 0, 2, 13, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0 }, { 38, 0, 3, 18, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 }, { 27, 6, 4, 23, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 }, /* 1960 */ { 45, 0, 6, 29, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0 }, { 35, 0, 0, 34, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1 }, { 24, 4, 1, 39, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0 }, { 43, 0, 2, 44, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0 }, /* 1964 */ { 32, 0, 4, 50, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1 }, { 20, 3, 5, 55, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0 }, { 39, 0, 6, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0 }, { 29, 7, 0, 5, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1 }, /* 1968 */ { 47, 0, 2, 11, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1 }, { 36, 0, 3, 16, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0 }, { 26, 5, 4, 21, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1 }, { 45, 0, 5, 26, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 }, /* 1972 */ { 33, 0, 0, 32, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1 }, { 22, 4, 1, 37, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1 }, { 41, 0, 2, 42, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1 }, { 30, 8, 3, 47, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1 }, /* 1976 */ { 48, 0, 5, 53, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1 }, { 37, 0, 6, 58, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1 }, { 27, 6, 0, 3, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0 }, { 46, 0, 1, 8, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0 }, /* 1980 */ { 35, 0, 3, 14, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1 }, { 24, 4, 4, 19, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1 }, { 43, 0, 5, 24, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1 }, { 32, 10, 6, 29, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1 }, /* 1984 */ { 50, 0, 1, 35, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0 }, { 39, 0, 2, 40, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1 }, { 28, 6, 3, 45, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0 }, { 47, 0, 4, 50, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1 }, /* 1988 */ { 36, 0, 6, 56, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0 }, { 26, 5, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1 }, { 45, 0, 1, 6, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0 }, { 34, 0, 2, 11, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0 }, /* 1992 */ { 22, 3, 4, 17, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0 }, { 40, 0, 5, 22, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0 }, { 30, 8, 6, 27, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1 }, { 49, 0, 0, 32, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1 }, /* 1996 */ { 37, 0, 2, 38, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1 }, { 27, 5, 3, 43, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1 }, { 46, 0, 4, 48, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1 }, { 35, 0, 5, 53, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1 }, /* 2000 */ { 23, 4, 0, 59, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 }, { 42, 0, 1, 4, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 }, { 31, 0, 2, 9, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0 }, { 21, 2, 3, 14, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1 }, /* 2004 */ { 39, 0, 5, 20, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1 }, { 28, 7, 6, 25, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 }, { 48, 0, 0, 30, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1 }, { 37, 0, 1, 35, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1 }, /* 2008 */ { 25, 5, 3, 41, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 }, { 44, 0, 4, 46, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 }, { 33, 0, 5, 51, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 }, { 22, 4, 6, 56, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 }, /* 2012 */ { 40, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 }, { 30, 9, 2, 7, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1 }, { 49, 0, 3, 12, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1 }, { 38, 0, 4, 17, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0 }, /* 2016 */ { 27, 6, 6, 23, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1 }, { 46, 0, 0, 28, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0 }, { 35, 0, 1, 33, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0 }, { 24, 4, 2, 38, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 }, /* 2020 */ { 42, 0, 4, 44, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 }, { 31, 0, 5, 49, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 }, { 21, 2, 6, 54, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1 }, { 40, 0, 0, 59, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1 }, /* 2024 */ { 28, 6, 2, 5, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0 }, { 47, 0, 3, 10, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1 }, { 36, 0, 4, 15, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1 }, { 25, 5, 5, 20, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0 }, /* 2028 */ { 43, 0, 0, 26, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1 }, { 32, 0, 1, 31, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0 }, { 22, 3, 2, 36, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0 } }; #define lastyear (firstyear+sizeof(lunarcal)/sizeof(struct taglunarcal)-1) /* 西历年每月之日数 */ int solarcal[12] = { 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 }; /* 西历年每月之累积日数, 平年与闰年 */ int solardays[2][14] = { { 0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334, 365, 396 }, { 0, 31, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335, 366, 397 } }; /* 求此西历年是否为闰年, 返回 0 为平年, 1 为闰年 */ int getleap( int year ) { if ( year % 400 == 0 ) return 1; else if ( year % 100 == 0 ) return 0; else if ( year % 4 == 0 ) return 1; else return 0; } /* 西历农历转换 */ int calconv( struct convdate *cd ) { int leap, d, sm, y, im, l1, l2, acc, i, lm, kc; if ( cd->source == 0 ) /* solar */ { if ( cd->solaryear <= firstyear cd->solaryear > lastyear ) return 1; sm = cd->solarmonth - 1; if ( sm < 0 sm > 11 ) return 2; leap = getleap( cd->solaryear ); if ( sm == 1 ) d = leap + 28; else d = solarcal[sm]; if ( cd->solardate < 1 cd->solardate > d ) return 3; y = cd->solaryear - firstyear; acc = solardays[leap][sm] + cd->solardate; cd->weekday = ( acc + lunarcal[y].baseweekday ) % 7; kc = acc + lunarcal[y].basekanchih; cd->kan = kc % 10; cd->chih = kc % 12; if ( acc <= lunarcal[y].basedays ) { y--; cd->lunaryear = cd->solaryear - 1; leap = getleap( cd->lunaryear ); sm += 12; acc = solardays[leap][sm] + cd->solardate; } else cd->lunaryear = cd->solaryear; l1 = lunarcal[y].basedays; for ( i=0; i<13; i++ ) { l2 = l1 + lunarcal[y].monthdays[i] + 29; if ( acc <= l2 ) break; l1 = l2; } cd->lunarmonth = i + 1; cd->lunardate = acc - l1; im = lunarcal[y].intercalation; if ( im != 0 && cd->lunarmonth > im ) { cd->lunarmonth--; if ( cd->lunarmonth == im ) cd->lunarmonth = -im; } if ( cd->lunarmonth > 12 ) cd->lunarmonth -= 12; } else /* lunar */ { if ( cd->lunaryear < firstyear cd->lunaryear >= lastyear ) return 1; y = cd->lunaryear - firstyear; im = lunarcal[y].intercalation; lm = cd->lunarmonth; if ( lm < 0 ) { if ( lm != -im ) return 2; } else if ( lm < 1 lm > 12 ) return 2; if ( im != 0 ) { if ( lm > im ) lm++; else if ( lm == -im ) lm = im + 1; } lm--; if ( cd->lunardate > lunarcal[y].monthdays[lm] + 29 ) return 3; acc = lunarcal[y].basedays; for ( i=0; i acc += lunarcal[y].monthdays[i] + 29; acc += cd->lunardate; leap = getleap( cd->lunaryear ); for ( i=13; i>=0; i-- ) if ( acc > solardays[leap][i] ) break; cd->solardate = acc - solardays[leap][i]; if ( i <= 11 ) { cd->solaryear = cd->lunaryear; cd->solarmonth = i + 1; } else { cd->solaryear = cd->lunaryear + 1; cd->solarmonth = i - 11; } leap = getleap( cd->solaryear ); y = cd->solaryear - firstyear; acc = solardays[leap][cd->solarmonth-1] + cd->solardate; cd->weekday = ( acc + lunarcal[y].baseweekday ) % 7; kc = acc + lunarcal[y].basekanchih; cd->kan = kc % 10; cd->chih = kc % 12; } return 0; } |
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