万年历算法－转自《ARM 嵌入式技术应用》
一、 阳历算法
具体算法见函数Void get_solar_day_date(void)，这样阳历日历的星期排法就确定了。
表1：
月份 1 2 3 4 5 6 7 8 9 10 11 12
闰年 31 29 31 30 31 30 31 31 30 31 30 31
非闰年 31 28 31 30 31 30 31 31 30 31 30 31
变量定义：
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；
说明：函数get_solar_day_date(void)的输入变量：gc_solar_calendar_year和
gc_solar_calendar_month
输出变量：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?---
*/
/*条件初始化二次，减少运算数据量. temp_total_day 是int型变量*/
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
else {start_day_of_week =1;temp_total_day = 365;}}
for(temp01 = 1;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、 阴历算法
200年需要200 X 2 = 400个字节，构成阴历压缩数据表lunar_calendar_month_table[]如下：
const char lunar_calendar_month_table[]={ //从阴历年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,};
确定阳历日和阴历日的对应关系的算法：
对于其他任何一个阳历日和阴历日的对应关系，都可以通过以下算法求得结果。具体算法由如下函数get_lunar_day(void)实现：
说明：函数get_lunar_day(void)的输入变量：gc_solar_calendar_year和
gc_solar_calendar_month
输出变量：gc_lunar_calendar_year、gc_lunar_calendar_month和
gc_lunar_calendar_date
void get_lunar_day(void)/*计算出输入阳历年、阳历月，对应该阳历月第一天对应阴历时间，即阴历年、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;
//条件初始化二次，减少运算数据量.
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*/
说明：函数calendar_calculate_lunar_month_total_day(void)根据输入变量
gc_lunar_calendar_year和gc_lunar_calendar_month，结合压缩数据表
lunar_calendar_month_table计算出对应阴历月的总的天数。
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);}
阳历日和农历节气的对应关系
压缩节气数据表：
根据规律可以得到四个数据表（每个阳历月有两个节气，每个节气需要两个数据表）：
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
}; //这个数据表表示了每个月第一个节气出现的规律
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
}; //这个数据表表示了每个月第一个节气出现规律对应的阳历年份范围
const unsigned char calendar_solar_term_table_02[12][29] = {
{21,21,21,21,21,20,21,21,21,20,20,21,21,20,20,20,20,20,20,20,20,19,20,20,20,19,1
9,20},
{20,19,19,20,20,19,19,19,19,19,19,19,19,18,19,19,19,18,18,19,19,18,18,18,18,18,1
8,18},
{21,21,21,22,21,21,21,21,20,21,21,21,20,20,21,21,20,20,20,21,20,20,20,20,19,20,2
0,20,20},
{20,21,21,21,20,20,21,21,20,20,20,21,20,20,20,20,19,20,20,20,19,19,20,20,19,19,1
9,20,20},
{21,22,22,22,21,21,22,22,21,21,21,22,21,21,21,21,20,21,21,21,20,20,21,21,20,20,2
0,21,21},
{22,22,22,22,21,22,22,22,21,21,22,22,21,21,21,22,21,21,21,21,20,21,21,21,20,20,2
1,21,21},
{23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,22,22,22,23,22,22,2
2,22,23},
{23,24,24,24,23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,22,22,2
2,23,23},
{23,24,24,24,23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,23,23,22,22,2
2,23,23},
{24,24,24,24,23,24,24,24,23,23,24,24,23,23,23,24,23,23,23,23,22,23,23,23,22,22,2
3,23,23},
{23,23,23,23,22,23,23,23,22,22,23,23,22,22,22,23,22,22,22,22,21,22,22,22,21,21,2
2,22,22},
{22,22,23,23,22,22,22,23,22,22,22,22,21,22,22,22,21,21,22,22,21,21,21,22,21,21,2
1,21,22},
}; //这个数据表表示了每个月第二个节气出现的规律
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},};
//这个数据表表示了每个月第二个节气出现规律对应的阳历年份范围
每个阳历月对应的两个农历节气出现的日期，可根据条件规律算法，分别由以下两个函数实现：
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);
} //计算阳历月对应的第一个节气
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);
} //计算阳历月对应的第二个节气
以上就是万年历的完整算法。它首先计算出对应阳历月第一天对应是星期几，然后根据数据压缩算法确定，确定对应的阴历日期；而阴历节气，则有条件规律算法实现。