农历算法简介以及公式

一、节气的计算
　　先给节气进行编号，从近日点开始的第一个节气编为0，编号如下及其相应的月份如下：

0 小寒腊月	6 清明三月	12 小暑六月	18 寒露九月
1 大寒腊月	7 谷雨三月	13 大暑六月	19 霜降九月
2 立春正月	8 立夏四月	14 立秋七月	20 立冬十月
3 雨水正月	9 小满四月	15 处暑七月	21 小雪十月
4 惊蛰二月	10 芒种五月	16 白露八月	22 大雪冬月
5 春分二月	11 夏至五月	17 秋分八月	23 冬至冬月

把当天和1900年1月0日（星期日）的差称为积日，那么第y年（1900年算第0年）第x 个节气的积日是
F = 365.242 * y + 6.2 + 15.22 * x - 1.9 * sin(0.262 * x)
这个公式的误差在0.05天左右。
二、朔日的计算
　　从1900年开始的第m个朔日的公式是
M = 1.6 + 29.5306 * m + 0.4 * sin(1 - 0.45058 * m)
这个公式的误差在0.2天左右。
三、年份的确定
　　1864年1月0日是农历癸亥年，所以用当年减去1864，用10除得的余数作为年份天干的，用12除得的余数作为年份的地支，数字对应的天干和地支如下。

数字

天干

甲

乙

丙

丁

戊

己

庚

辛

壬

癸

地支

子

丑

寅

卯

辰

巳

午

未

申

酉

戌

亥

当年的1月0日换算为积日，可以用年份减去1900得到的年数被4整除，所得商数作为 y(D4)，余数作为y(M4)，y(M4)为零的年份是公历闰年，积日是
D(1) = 1461 * y(D4) - 1
y(M4)不为零的年份是公历平年，积日是
D(1) = 1461 * y(D4) + 365 * y(M4)
四、月份的确定
　　计算前一年冬至的积日F(0)，并用F(0)计算冬至所在的朔月m及其朔日M(0)，就可以推算冬至的农历日期，冬至所在的农历月份总是十一月。计算下一个中气F(1)和下一个朔日M(1)，如果F(1)<M(1)，那么该月就是上一个月的闰月，并把这个中气作为F(2)，以后的中气、朔日和农历月份也这样确定。

计算某天是星期几【C代码】

#include <time.h>

函数名称：int GetWeekDay(int year,int month,int day)

函数功能: 返回输入日期对应的一周中的第几天。

函数参数：year 输入日期的年；month 输入日期的月；day输入日期的日

如：2000年1月1日则是GetWeekDay(2000,1,1)

int GetWeekDay(int year,int month,int day)

{

int i,j,count=0;

int Day_Index;

int days[13]={0,31,28,31,30,31,30,31,31,30,31,30,31};

int MonthAdd[12] = {0,31,59,90,120,151,181,212,243,273,304,334};

#if 0

for(i = 1;i < month;i++)

count = count + days[i];

#else

count = MonthAdd[month-1];

#endif

count = count + day;

if((year%4 == 0&&year %100 != 0||year % 400 == 0)&& month >= 3)

count += 1;

count = count + (year - 1901) * 365;

for(j = 1901;j < year;j++)

{

if(j % 4 == 0 && j % 100 != 0 || j % 400 == 0)

count++;

}

return ((count+1) % 7);

}

main()

{

const char *Week[]={"星期日","星期一","星期二","星期三","星期四","星期五","星期六"};

struct tm * Local;

long t;

int year,month,day;

#if 0

//下面仅仅是拿当前的日期作为计算，当然你也可以用来计算其他的日期。

//如：2000年1月1日则是GetWeekDay(2000,1,1)

t = time(NULL);

Local = localtime(&t);

year = Local->tm_year + 1900;

month = Local->tm_mon + 1;

day = Local-> tm_mday;

printf("%d年%d月%d日/t",year,month,day);

puts(Week[GetWeekDay(year,month,day)]);

//下面是访问tm结构体来得到当前是星期几

printf("%d年%d月%d日/t",year,month,day);

puts(Week[Local->tm_wday]);

#else

year = 2006;

month = 10;

day = 1;

printf("%d年%d月%d日/t",year,month,day);

puts(Week[GetWeekDay(year,month,day)]);

#endif

system("pause");

}

农历中天干地支的计算【C代码】

函数名称：int GetChineseEra(int year,int flag)

函数功能: 返回某年对应的天干和地支。

flag = 0 返回天干 flag = 1 返回地支。

函数参数：year 要查询的年；如：1984年，

天干：GetChineseEra(1984,0)

地支：GetChineseEra(1984,1)

unsigned int LunarCalendarTable[199] = {

0x04AE53,0x0A5748,0x5526BD,0x0D2650,0x0D9544,0x46AAB9,0x056A4D,0x09AD42,0x24AEB6,0x04AE4A,/*1901-1910*/

0x6A4DBE,0x0A4D52,0x0D2546,0x5D52BA,0x0B544E,0x0D6A43,0x296D37,0x095B4B,0x749BC1,0x049754,/*1911-1920*/

0x0A4B48,0x5B25BC,0x06A550,0x06D445,0x4ADAB8,0x02B64D,0x095742,0x2497B7,0x04974A,0x664B3E,/*1921-1930*/

0x0D4A51,0x0EA546,0x56D4BA,0x05AD4E,0x02B644,0x,0x092E4B,0x7C96BF,0x0C9553,0x0D4A48,/*1931-1940*/

0x6DA53B,0x0B554F,0x056A45,0x4AADB9,0x025D4D,0x092D42,0x2C95B6,0x0A954A,0x7B4ABD,0x06CA51,/*1941-1950*/

0x0B5546,0x555ABB,0x04DA4E,0x0A5B43,0x352BB8,0x052B4C,0x8A953F,0x0E9552,0x06AA48,0x7AD53C,/*1951-1960*/

0x0AB54F,0x04B645,0x4A5739,0x0A574D,0x052642,0x3E9335,0x0D9549,0x75AABE,0x056A51,0x096D46,/*1961-1970*/

0x54AEBB,0x04AD4F,0x0A4D43,0x4D26B7,0x0D254B,0x8D52BF,0x0B5452,0x0B6A47,0x696D3C,0x095B50,/*1971-1980*/

0x049B45,0x4A4BB9,0x0A4B4D,0xAB25C2,0x06A554,0x06D449,0x6ADA3D,0x0AB651,0x093746,0x5497BB,/*1981-1990*/

0x04974F,0x064B44,0x36A537,0x0EA54A,0x86B2BF,0x05AC53,0x0AB647,0x5936BC,0x092E50,0x0C9645,/*1991-2000*/

0x4D4AB8,0x0D4A4C,0x0DA541,0x25AAB6,0x056A49,0x7AADBD,0x025D52,0x092D47,0x5C95BA,0x0A954E,/*2001-2010*/

0x0B4A43,0x4B5537,0x0AD54A,0x955ABF,0x04BA53,0x0A5B48,0x652BBC,0x052B50,0x0A9345,0x474AB9,/*2011-2020*/

0x06AA4C,0x0AD541,0x24DAB6,0x04B64A,0x69573D,0x0A4E51,0x0D2646,0x5E933A,0x0D534D,0x05AA43,/*2021-2030*/

0x36B537,0x096D4B,0xB4AEBF,0x04AD53,0x0A4D48,0x6D25BC,0x0D254F,0x0D5244,0x5DAA38,0x0B5A4C,/*2031-2040*/

0x056D41,0x24ADB6,0x049B4A,0x7A4BBE,0x0A4B51,0x0AA546,0x5B52BA,0x06D24E,0x0ADA42,0x355B37,/*2041-2050*/

0x09374B,0x8497C1,0x049753,0x064B48,0x66A53C,0x0EA54F,0x06B244,0x4AB638,0x0AAE4C,0x092E42,/*2051-2060*/

0x3C9735,0x0C9649,0x7D4ABD,0x0D4A51,0x0DA545,0x55AABA,0x056A4E,0x0A6D43,0x452EB7,0x052D4B,/*2061-2070*/

0x8A95BF,0x0A9553,0x0B4A47,0x6B553B,0x0AD54F,0x055A45,0x4A5D38,0x0A5B4C,0x052B42,0x3A93B6,/*2071-2080*/

0x069349,0x7729BD,0x06AA51,0x0AD546,0x54DABA,0x04B64E,0x0A5743,0x,0x0D264A,0x8E933E,/*2081-2090*/

0x0D5252,0x0DAA47,0x66B53B,0x056D4F,0x04AE45,0x4A4EB9,0x0A4D4C,0x0D1541,0x2D92B5 /*2091-2099*/

};

int MonthAdd[12] = {0,31,59,90,120,151,181,212,243,273,304,334};

int GetLunarYear(int year,int month,int day)

{

int Spring_NY,Sun_NY,StaticDayCount;

int index,flag;

//Spring_NY 记录春节离当年旦的天数。

//Sun_NY 记录阳历日离当年旦的天数。

if( ((LunarCalendarTable[year-1901] & 0x0060) >> 5) == 1)

Spring_NY = (LunarCalendarTable[year-1901] & 0x001F) - 1;

else

Spring_NY = (LunarCalendarTable[year-1901] & 0x001F) - 1 + 31;

Sun_NY = MonthAdd[month-1] + day - 1;

if( (!(year % 4)) && (month > 2))

Sun_NY++;

if(Sun_NY >= Spring_NY)

return year;

else

return year - 1;

}

int GetChineseEra(int year,int flag)

{

if(flag == 0)

return ((year - 4) % 60) % 10;

else

return ((year - 4) % 60) % 12;

}

#include <time.h>

main()

{

const char *AnimalSign[] =

{"鼠","牛","虎","兔","龙","蛇","马","羊","猴","鸡","狗","猪"};

const char *TianGan[] =

{"甲","乙","丙","丁","戊","己","庚","辛","壬","癸"};

const char *DiZhi[] =

{"子","丑","寅","卯","辰","巳","午","未","申","酉","戌","亥"};

char Era[4];

int LunarYear,year,month,day;

struct tm * Local;

long t;

t = time(NULL);

Local = localtime(&t);

year = Local->tm_year + 1900;

month = Local->tm_mon + 1;

day = Local->tm_mday;

LunarYear = GetLunarYear(year,month,day);

printf("%d年%d月%d日/n",year,month,day);

strcpy(Era,TianGan[GetChineseEra(LunarYear,0)]);

strcat(Era,DiZhi[GetChineseEra(LunarYear,1)]);

puts(Era);

puts(AnimalSign[GetChineseEra(LunarYear,1)]);

printf("/n");

year = 2007;

month = 2;

day = 17;

LunarYear = GetLunarYear(year,month,day);

printf("%d年%d月%d日/n",year,month,day);

strcpy(Era,TianGan[GetChineseEra(LunarYear,0)]);

strcat(Era,DiZhi[GetChineseEra(LunarYear,1)]);

puts(Era);

puts(AnimalSign[GetChineseEra(LunarYear,1)]);

printf("/n");

year = 2007;

month = 2;

day = 18;

LunarYear = GetLunarYear(year,month,day);

printf("%d年%d月%d日/n",year,month,day);

strcpy(Era,TianGan[GetChineseEra(LunarYear,0)]);

strcat(Era,DiZhi[GetChineseEra(LunarYear,1)]);

puts(Era);

puts(AnimalSign[GetChineseEra(LunarYear,1)]);

system("pause");

}

农历一百年算法（1921~2021）【C语言代码】

下面是网上一个非常流行的计算农历的算法和C代码。但是，它只能计算

1921年到 2021年的农历，仅仅只有一百年。稍后，我将会帖出农历两百年算法（1901~2100）【C语言代码】。

#include <time.h>

int LunarCalendar(int year,int *pmonth,int *pday)

{

const int MonthAdd[12] = {0,31,59,90,120,151,181,212,243,273,304,334};

const int LunarCalendarTable[100] ={

2635,,1701,1748,,694,2391,,1175,

,3402,3749,,1453,694,,2350,,3221,3402

,,2901,1386,,605,2349,,2709,,1738

,2901,,1242,2651,,1323,,3733,1706,

,2741,1206,,2647,1318,,3477,,1386,2413

,,1197,2637,,3365,,2900,2922,,2395

,1179,,2635,,1701,1748,,2742,2391,

,1175,1611,,3749,,1452,2742,,2350,3222

,,3402,3493,,1386,,605,2349,,2709

,2890,,2773,,1210,2651,,1323,2707,};

int DateCount,loop;

int i,j,n,Bit;

int month,day;

month = *pmonth;

day = *pday;

//计算从1921年2月8日(正月初一)到现在所经历的天数。

DateCount = (year - 1921) * 365 + (year - 1921) / 4 + MonthAdd[month - 1] - 38 + day;

//如今年阳历是闰年（2月有29天），而且当前月份大于2月，经历的总天数加1。

if((!(year % 4)) && (month > 2))

DateCount = DateCount + 1;

//下面是查表的算法。

loop = 1;

j = 0;

while(loop)

{

if(LunarCalendarTable[j] < 4095)

i = 11;

else

i = 12;

n = i;

while(n>=0)

{

Bit = LunarCalendarTable[j];

Bit = (Bit >> n) & 1;

if (DateCount <= (29 + Bit))

{

loop = 0;

break;

}

DateCount -= 29 + Bit;

n--;

}

if(!loop)

break;

j++;

}

year = 1921 + j;

month = i - n + 1;

day = DateCount;

if (i == 12)

{

if (month == LunarCalendarTable[j] / 65536 + 1)

{

month = 1 - month;

}

else if (month > LunarCalendarTable[j] / 65536 + 1)

month--;

}

*pmonth = month;

*pday = day;

return 1;

}

main()

{

const char *ChDay[] = {"*","初一","初二","初三","初四","初五",

"初六","初七","初八","初九","初十",

"十一","十二","十三","十四","十五",

"十六","十七","十八","十九","二十",

"廿一","廿二","廿三","廿四","廿五",

"廿六","廿七","廿八","廿九","三十"};

const char *ChMonth[] = {"*","正","二","三","四","五","六","七","八","九","十","十一","腊"};

struct tm * Local;

long t;

int year,month,day;

char str[13] = "";

#if 0

t = time(NULL);

Local = localtime(&t);

year = Local->tm_year + 1900;

month = Local->tm_mon + 1;

day = Local-> tm_mday;

#else

year = 2006;

month = 1;

day = 1;

#endif

printf("%d年%d月%d日/t",year,month,day);

LunarCalendar(year,&month,&day);

if(month < 0)

{

strcat(str,"闰");

strcat(str,ChMonth[-month]);

}

else

strcat(str,ChMonth[month]);

strcat(str,"月");

strcat(str,ChDay[day]);

puts(str);

system("pause");

}

农历两百年算法（1901~2100）【C语言代码】

下面的三个表格是农历数据表 LunarCalendarTable 的结构。总共使用了32位整数的0～23位。

6	5	4	3	2	1	0
表示春节的公历月份		表示春节的公历日期

19	18	17	16	15	14	13	12	11	10	9	8	7
1	2	3	4	5	6	7	8	9	10	11	12	13
农历1-13 月大小。月份对应位为1，农历月大(30 天),为0 表示小(29 天)

23	22	21	20
表示当年闰月月份，值为0 为则表示当年无闰月。

#include <time.h>

unsigned int LunarCalendarDay;

unsigned int LunarCalendarTable[199] = {

0x04AE53,0x0A5748,0x5526BD,0x0D2650,0x0D9544,0x46AAB9,0x056A4D,0x09AD42,0x24AEB6,0x04AE4A,/*1901-1910*/

0x6A4DBE,0x0A4D52,0x0D2546,0x5D52BA,0x0B544E,0x0D6A43,0x296D37,0x095B4B,0x749BC1,0x049754,/*1911-1920*/

0x0A4B48,0x5B25BC,0x06A550,0x06D445,0x4ADAB8,0x02B64D,0x095742,0x2497B7,0x04974A,0x664B3E,/*1921-1930*/

0x0D4A51,0x0EA546,0x56D4BA,0x05AD4E,0x02B644,0x,0x092E4B,0x7C96BF,0x0C9553,0x0D4A48,/*1931-1940*/

0x6DA53B,0x0B554F,0x056A45,0x4AADB9,0x025D4D,0x092D42,0x2C95B6,0x0A954A,0x7B4ABD,0x06CA51,/*1941-1950*/

0x0B5546,0x555ABB,0x04DA4E,0x0A5B43,0x352BB8,0x052B4C,0x8A953F,0x0E9552,0x06AA48,0x6AD53C,/*1951-1960*/