萬年歷算法

一、 陽歷算法

具體算法見函數Void get_solar_day_date(void)，這樣陽歷日歷的星期排法就確定了。
表1：


月份 1 2 3 4 5 6 7 8 9 10 11 12 
閏年 31 29 31 30 31 30 31 31 30 31 30 31 
非閏年 31 28 31 30 31 30 31 31 30 31 30 31 

變量定義：
Public:
Unsigned int temp_total_day;
Unsigned char gc_solar_calendar_year;
Unsigned char gc_solar_calendar_month;
Unsigned char gc_solar_calendar_date;
Unsigned char gc_lunar_calendar_year;
Unsigned char gc_lunar_calendar_month;
Unsigned char gc_lunar_calendar_date;
Unsigned char start_day_of_week；
說明：函數get_solar_day_date(void)的輸入變量：gc_solar_calendar_year和gc_solar_calendar_month
輸出變量：start_day_of_week和temp_total_day
Void get_solar_day_date(void)
{
unsigned char temp01;
/*------calculate what day is the day of the current month and year. Mon~Sun?---*/
/*條件初始化二次，減少運算數據量. temp_total_day 是int型變量*/
start_day_of_week = 2; temp_total_day = 0;calculate_temp = 1;
if(gc_solar_calendar_year > 99)
{start_day_of_week = 6;calculate_temp = 100;}
for(temp01 = calculate_temp; temp01<gc_solar_calendar_year; temp01 )
{ if(temp014 == 0){start_day_of_week =2;temp_total_day = 366; }
else {start_day_of_week =1;temp_total_day = 365;}}
for(temp01 = 1;temp01<gc_solar_calendar_month;temp01 )
{ switch(temp01)
{case 1,3,5,7,8,10,12: start_day_of_week =3;temp_total_day =31;break;
case 2: if(((gc_solar_calendar_year4) == 0)&&(gc_solar_calendar_year != 200))
{start_day_of_week =1; temp_total_day =29;}
else {start_day_of_week =0;temp_total_day =28;} break;
case 4,6,9,11: start_day_of_week =2; temp_total_day =30; break;}}
start_day_of_week =7;
/*-end of calculate what day is the day(Mon~Sun?) and total day --*/
}


二、 陰歷算法
200年需要200 × 2 = 400個字節，構成陰歷壓縮數據表lunar_calendar_month_table[]如下：
const char lunar_calendar_month_table[]={ //從陰歷年1900年到2100年
/*the total day of each month pointer */
/* from 1901~2100*/
/* (0110)110000001001 (0110)leap month,110000001001 
lunar month total day: 1:29 0:30*/
0x00,0x04,0xad,0x08,0x5a,0x01,0xd5,0x54,0xb4,0x09,0x64,0x05,0x59,0x45, 0x95,0x0a,0xa6,0x04,0x55,0x24,0xad,0x08,0x5a,0x62,0xda,0x04,0xb4,0x05, 0xb4,0x55,0x52,0x0d,0x94,0x0a,0x4a,0x2a,0x56,0x02,0x6d,0x71,0x6d,0x01, 0xda,0x02,0xd2,0x52,0xa9,0x05,0x49,0x0d,0x2a,0x45,0x2b,0x09,0x56,0x01, 0xb5,0x20,0x6d,0x01,0x59,0x69,0xd4,0x0a,0xa8,0x05,0xa9,0x56,0xa5,0x04, 0x2b,0x09,0x9e,0x38,0xb6,0x08,0xec,0x74,0x6c,0x05,0xd4,0x0a,0xe4,0x6a, 0x52,0x05,0x95,0x0a,0x5a,0x42,0x5b,0x04,0xb6,0x04,0xb4,0x22,0x6a,0x05, 0x52,0x75,0xc9,0x0a,0x52,0x05,0x35,0x55,0x4d,0x0a,0x5a,0x02,0x5d,0x31, 0xb5,0x02,0x6a,0x8a,0x68,0x05,0xa9,0x0a,0x8a,0x6a,0x2a,0x05,0x2d,0x09, 0xaa,0x48,0x5a,0x01,0xb5,0x09,0xb0,0x39,0x64,0x05,0x25,0x75,0x95,0x0a, 0x96,0x04,0x4d,0x54,0xad,0x04,0xda,0x04,0xd4,0x44,0xb4,0x05,0x54,0x85, 0x52,0x0d,0x92,0x0a,0x56,0x6a,0x56,0x02,0x6d,0x02,0x6a,0x41,0xda,0x02, 0xb2,0xa1,0xa9,0x05,0x49,0x0d,0x0a,0x6d,0x2a,0x09,0x56,0x01,0xad,0x50, 0x6d,0x01,0xd9,0x02,0xd1,0x3a,0xa8,0x05,0x29,0x85,0xa5,0x0c,0x2a,0x09, 0x96,0x54,0xb6,0x08,0x6c,0x09,0x64,0x45,0xd4,0x0a,0xa4,0x05,0x51,0x25, 0x95,0x0a,0x2a,0x72,0x5b,0x04,0xb6,0x04,0xac,0x52,0x6a,0x05,0xd2,0x0a, 0xa2,0x4a,0x4a,0x05,0x55,0x94,0x2d,0x0a,0x5a,0x02,0x75,0x61,0xb5,0x02, 0x6a,0x03,0x61,0x45,0xa9,0x0a,0x4a,0x05,0x25,0x25,0x2d,0x09,0x9a,0x68, 0xda,0x08,0xb4,0x09,0xa8,0x59,0x54,0x03,0xa5,0x0a,0x91,0x3a,0x96,0x04, 0xad,0xb0,0xad,0x04,0xda,0x04,0xf4,0x62,0xb4,0x05,0x54,0x0b,0x44,0x5d, 0x52,0x0a,0x95,0x04,0x55,0x22,0x6d,0x02,0x5a,0x71,0xda,0x02,0xaa,0x05, 0xb2,0x55,0x49,0x0b,0x4a,0x0a,0x2d,0x39,0x36,0x01,0x6d,0x80,0x6d,0x01, 0xd9,0x02,0xe9,0x6a,0xa8,0x05,0x29,0x0b,0x9a,0x4c,0xaa,0x08,0xb6,0x08, 0xb4,0x38,0x6c,0x09,0x54,0x75,0xd4,0x0a,0xa4,0x05,0x45,0x55,0x95,0x0a, 0x9a,0x04,0x55,0x44,0xb5,0x04,0x6a,0x82,0x6a,0x05,0xd2,0x0a,0x92,0x6a, 0x4a,0x05,0x55,0x0a,0x2a,0x4a,0x5a,0x02,0xb5,0x02,0xb2,0x31,0x69,0x03, 0x31,0x73,0xa9,0x0a,0x4a,0x05,0x2d,0x55,0x2d,0x09,0x5a,0x01,0xd5,0x48, 0xb4,0x09,0x68,0x89,0x54,0x0b,0xa4,0x0a,0xa5,0x6a,0x95,0x04,0xad,0x08, 0x6a,0x44,0xda,0x04,0x74,0x05,0xb0,0x25,0x54,0x03,};


確定陽歷日和陰歷日的對應關系的算法：
對于其他任何一個陽歷日和陰歷日的對應關系，都可以通過以下算法求得結果。具體算法由如下函數get_lunar_day(void)實現：
說明：函數get_lunar_day(void)的輸入變量：gc_solar_calendar_year和gc_solar_calendar_month
輸出變量：gc_lunar_calendar_year、gc_lunar_calendar_month和gc_lunar_calendar_date
void get_lunar_day(void)/*計算出輸入陽歷年、陽歷月，對應該陽歷月第一天對應陰歷時間，即陰歷年、月、日*/
{unsigned char temp_leap_month;
unsigned char temp_flag;
unsigned char calculate_temp;
unsigned char mc_tpumenus_temp_loop;
unsigned char mc_tpumenus_temp_01;
temp_leap_month = 0;temp_flag = 1;
//條件初始化二次，減少運算數據量.
if(gc_solar_calendar_year > 99)
{gc_lunar_calendar_year = 99;gc_lunar_calendar_month = 11;
gc_lunar_calendar_date = 25;temp_total_day = 25;calculate_temp = 100;}
else
{gc_lunar_calendar_year = 0;gc_lunar_calendar_month = 11;
gc_lunar_calendar_date = 11;temp_total_day = 11;calculate_temp = 1;}
if(gc_solar_calendar_year >calculate_temp||gc_solar_calendar_month>1)
{ for(mc_tpumenus_temp_loop = 1;mc_tpumenus_temp_loop>0;){
temp_total_day -=calendar_calculate_lunar_month_total_day();
temp_leap_month = tpumenus_lunar_calendar_month_table[2*gc_lunar_calendar_year 1];
temp_leap_month = (temp_leap_month>>4)&0x0F;
if(gc_lunar_calendar_month == temp_leap_month)
{switch(gc_lunar_calendar_year)
{case 6,14,19,25,33,36,38,41,44,52,55,79,117,
136,147,150,155,158,185,193:
if(temp_total_day<31){gc_lunar_calendar_date = temp_total_day;
mc_tpumenus_temp_loop = 0;temp_flag = 0;}
else temp_total_day -= 30;
break; //current month:temp_leap_month
default:
if(temp_total_day < 30)
{gc_lunar_calendar_date = temp_total_day;mc_tpumenus_temp_loop = 0;
temp_flag = 0; /*current month:temp_leap_month*/ }
else temp_total_day -= 29; break;}} 
if(temp_flag){gc_lunar_calendar_month ;
if(gc_lunar_calendar_month == 13){gc_lunar_calendar_month = 1;
gc_lunar_calendar_year ;}
If(temp_total_day < 61) //if temp_total_day>60,ignore compare 
{mc_tpumenus_temp_01 = calendar_calculate_lunar_month_total_day();
if(temp_total_day < (mc_tpumenus_temp_01 1))
{mc_tpumenus_temp_loop = 0;gc_lunar_calendar_date = temp_total_day;
} }
} } } 
gc_lunar_leap_month = (temp_flag<<4)|temp_leap_month;/*set leap_month flag*/
說明：函數calendar_calculate_lunar_month_total_day(void)根據輸入變量gc_lunar_calendar_year和gc_lunar_calendar_month，結合壓縮數據表lunar_calendar_month_table計算出對應陰歷月的總的天數。
unsigned char calendar_calculate_lunar_month_total_day(void)
{
unsigned char mc_tpumenus_temp_01;
unsigned char mc_tpumenus_temp_02;
if(gc_lunar_calendar_month < 9)
{mc_tpumenus_temp_01 = lunar_calendar_month_table[2*gc_lunar_calendar_year];
mc_tpumenus_temp_02 = gc_lunar_calendar_month - 1;}
else{
mc_tpumenus_temp_01 = lunar_calendar_month_table[2*gc_lunar_calendar_year 1];
mc_tpumenus_temp_02 = gc_lunar_calendar_month - 9;}
if((mc_tpumenus_temp_01>> mc_tpumenus_temp_02)&0x01)return(29);
else return(30);}

陽歷日和農歷節氣的對應關系

壓縮節氣數據表：
根據規律可以得到四個數據表（每個陽歷月有兩個節氣，每個節氣需要兩個數據表）：
const unsigned char calendar_solar_term_table_01[12][33] = {
{7,6,6,6,6,6,6,6,6,5,6,6,6,5,5,6,6,5,5,5,5,5,5,5,5,4,5,5}, //month 1
{5,4,5,5,5,4,4,5,5,4,4,4,4,4,4,4,4,3,4,4,4,3,3,4,4,3,3,3}, //2
{6,6,6,7,6,6,6,6,5,6,6,6,5,5,6,6,5,5,5,6,5,5,5,5,4,5,5,5,5}, //3
{5,5,6,6,5,5,5,6,5,5,5,5,4,5,5,5,4,4,5,5,4,4,4,5,4,4,4,4,5}, //4
{6,6,6,7,6,6,6,6,5,6,6,6,5,5,6,6,5,5,5,6,5,5,5,5,4,5,5,5,5}, //5
{6,6,7,7,6,6,6,7,6,6,6,6,5,6,6,6,5,5,6,6,5,5,5,6,5,5,5,5,4,5,5,5,5}, //6
{7,8,8,8,7,7,8,8,7,7,7,8,7,7,7,7,6,7,7,7,6,6,7,7,6,6,6,7,7}, //7
{8,8,8,9,8,8,8,8,7,8,8,8,7,7,8,8,7,7,7,8,7,7,7,7,6,7,7,7,6,6,7,7,7}, //8
{8,8,8,9,8,8,8,8,7,8,8,8,7,7,8,8,7,7,7,8,7,7,7,7,6,7,7,7,7}, //9
{9,9,9,9,8,9,9,9,8,8,9,9,8,8,8,9,8,8,8,8,7,8,8,8,7,7,8,8,8}, //10
{8,8,8,8,7,8,8,8,7,7,8,8,7,7,7,8,7,7,7,7,6,7,7,7,6,6,7,7,7}, //11
{7,8,8,8,7,7,8,8,7,7,7,8,7,7,7,7,6,7,7,7,6,6,7,7,6,6,6,7,7}, //12
}; //這個數據表表示了每個月第一個節氣出現的規律
const unsigned char calendar_solar_term_year_01[12][9] = {
{13,49,85,117,149,185,201,250,250}, //month 1
{13,45,81,117,149,185,201,250,250}, //2
{13,48,84,112,148,184,200,201,250}, //3
{13,45,76,108,140,172,200,201,250}, //4
{13,44,72,104,132,168,200,201,250}, //5
{5 ,33,68,96 ,124,152,188,200,201}, //6
{29,57,85,120,148,176,200,201,250}, //7
{13,48,76,104,132,168,196,200,201}, //8
{25,60,88,120,148,184,200,201,250}, //9
{16,44,76,108,144,172,200,201,250}, //10
{28,60,92,124,160,192,200,201,250}, //11
{17,53,85,124,156,188,200,201,250}, //12
}; //這個數據表表示了每個月第一個節氣出現規律對應的陽歷年份范圍
const unsigned char calendar_solar_term_table_02[12][29] = {
{21,21,21,21,21,20,21,21,21,20,20,21,21,20,20,20,20,20,20,20,20,19,20,20,20,19,19,20},
{20,19,19,20,20,19,19,19,19,19,19,19,19,18,19,19,19,18,18,19,19,18,18,18,18,18,18,18},
{21,21,21,22,21,21,21,21,20,21,21,21,20,20,21,21,20,20,20,21,20,20,20,20,19,20,20,20,20},
{20,21,21,21,20,20,21,21,20,20,20,21,20,20,20,20,19,20,20,20,19,19,20,20,19,19,19,20,20},
{21,22,22,22,21,21,22,22,21,21,21,22,21,21,21,21,20,21,21,21,20,20,21,21,20,20,20,21,21},
{22,22,22,22,21,22,22,22,21,21,22,22,21,21,21,22,21,21,21,21,20,21,21,21,20,20,21,21,21},
{23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,22,22,22,23,22,22,22,22,23},
{23,24,24,24,23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,22,22,22,23,23},
{23,24,24,24,23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,22,22,22,23,23},
{24,24,24,24,23,24,24,24,23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,23},
{23,23,23,23,22,23,23,23,22,22,23,23,22,22,22,23,22,22,22,22,21,22,22,22,21,21,22,22,22},
{22,22,23,23,22,22,22,23,22,22,22,22,21,22,22,22,21,21,22,22,21,21,21,22,21,21,21,21,22},
}; //這個數據表表示了每個月第二個節氣出現的規律
const unsigned char calendar_solar_term_year_02[12][8] = {
{13,45,81,113,149,185,201},{21,57,93,125,161,193,201},{21,56,88,120,152,188,200,201},
{21,49,81,116,144,176,200,201},{17,49,77,112,140,168,200,201},
{28,60,88,116,148,180,200,201},{25,53,84,112,144,172,200,201},
{29,57,89,120,148,180,200,201},{17,45,73,108,140,168,200,201},
{28,60,92,124,160,192,200,201},{16,44,80,112,148,180,200,201},
{17,53,88,120,156,188,200,201},};
//這個數據表表示了每個月第二個節氣出現規律對應的陽歷年份范圍
每個陽歷月對應的兩個農歷節氣出現的日期，可根據條件規律算法，分別由以下兩個函數實現：
unsigned char calendar_calculate_solar_term_1(void)
{
zpage unsigned char done_index;
zpage unsigned char solar_term;
done_index = 0;
while(gc_solar_calendar_year >= calendar_solar_term_year_01[gc_solar_calendar_month - 1][done_index]) {done_index ;}
solar_term = calendar_solar_term_table_01[gc_solar_calendar_month - 1][4*done_index gc_solar_calendar_year4];
if((gc_solar_calendar_year == 121)&&(gc_solar_calendar_month == 4))solar_term = 5;
if((gc_solar_calendar_year == 132)&&(gc_solar_calendar_month == 4))solar_term = 5;
if((gc_solar_calendar_year == 194)&&(gc_solar_calendar_month == 6))solar_term = 6;
return(solar_term);
} //計算陽歷月對應的第一個節氣
unsigned char calendar_calculate_solar_term_2(void)
{
zpage unsigned char done_index;
zpage unsigned char solar_term;
done_index = 0;
while(gc_solar_calendar_year >= calendar_solar_term_year_02[gc_solar_calendar_month - 1][done_index]){done_index ;}
solar_term = calendar_solar_term_table_02[gc_solar_calendar_month - 1][4*done_index gc_solar_calendar_year4];
if((gc_solar_calendar_year == 171)&&(gc_solar_calendar_month == 3))solar_term = 21;
if((gc_solar_calendar_year == 181)&&(gc_solar_calendar_month == 5))solar_term = 21;
return(solar_term);
} //計算陽歷月對應的第二個節氣
以上就是萬年歷的完整算法。它首先計算出對應陽歷月第一天對應是星期幾，然后根據數據壓縮算法確定，確定對應的陰歷日期；而陰歷節氣，則有條件規律算法實現。