㈠ 公歷農歷轉換
回歷、公歷、農歷的換算
(128 × 365+31)日÷ 128年= 365.2421875日/年
可見共置閏精度遠高於現代的公歷。
2.換算中一日誤差之訂正
《歷法叢談》以回歷1387年為例,求算合公歷之年月日。
解1:1387 × 0.970224+621.5774=1967.278088年
0.278088年 × 365.2422日=101.569日公歷累計日數為101.57日可視為4月11日或4月12日。究竟是哪一日,當依兩歷在公歷4月11日或12日間所具有同一的星期序數以訂正。
依回歷歲首星期序數計算公式:
[(138-1)×131+164] ÷30=6057,餘20
6057÷7=865,余 2
故回歷1387年元旦為星期2。(表)
<img src=/wenxian/lunwen/images/00-2-p129.gif>
按公歷自1583年元旦(星期六)至1967年4月11日,共歷:
1967-1583=384年,在這384年中依格列高利歷四年一閏,百年不閏,四百年加一閏日的規則共歷93個閏日,又1967年元旦後一日起至4月11日又需加 100日,則
(384 × 365+93+100+6)÷ 7=140359+7=2001,余 2餘2即星期2,故回歷1387年元旦在公歷1967年4月11日。
因公歷計算星期日數採用數據較多,計算時難免有所遺漏,現引人公歷日期與星期推算表阿),供參考。
應用此表查找公元1967年4月11日星期序數步驟如下:
先在本表年份表前二位數字欄目中,查到19二字所在的位置;
再在年份表後二位數字欄目中查到67二字所在位置,自19二字處平行右移,67二字處垂直下移,二者在英文大寫字母欄目中相交於字母G處;
再自月份表欄目中查到4月,自4月所在位置平行左移,查到G在4月欄目所在位置;
自日期欄目查到11日所在位置,自此位置平行右移,使與4月份欄目G在星期表相交處知為星期二,結果與回歷計算所得相同。故知回歷 1387年元旦確為公歷1967年4月11日,而不是12日。
在換算中所得公歷日數常多於31日,甚至常在200—300日或更多,需要將此數化為該年的月日時,可用下列兩表。
表3 公歷月份及其累計日數
<img src=/wenxian/lunwen/images/00-2-p130.gif>
三 公歷換算為回歷
將回歷換算為公歷的算式移項,整理,即可得到公歷換算為國歷的算式
(公歷紀年一621.5691)÷0.9702=回歷年月日(儒略歷)……………………………………………(5)
(公歷紀年一621.5774)÷0.970224=回歷年月日(格氏歷)…………………………………………(6)
無論回歷換算為公歷或相反,大體都有一日之差,以星期序數訂正時,回歷換算為公歷,以回歷的星期序數為准;相反,以公歷的星期序數為准。
四 國歷或公歷換算為中國農歷
1.回歷換算為農歷
僅管中國農歷各年在年內月數日數都不是一個相對的穩定值,給回歷與公歷換算為農歷上帶來較多的困難,但仍然可以換算。中國農歷為陰陽合歷,在月份上與回歷同屬太陰歷,惟回歷每月以見新月為一月之始,其日約遲於農歷合朔(初一日)1—2日乃至3日,因此只要查清二者在月份上關系,便可將回歷換算為中國農歷。馬以愚先生稱:「回教紀年及齋戒之月,均依太陰歷。中國昔用夏正(即農歷),有閏之年,年為十三月。故齋戒之月,遇閏則連退。如今歲齋戒值夏正之九月,歲逢閏,改歲當以八月為齋。」[8]故若求得積年及所歷大陰歷的月數,即可依農歷十九年而有七個閏月的規律,將農歷換算為回歷,其日當有l——2日之差。
計算舉例:已知西域魯穆馬依澤公於宋太祖建隆二年(961)應召人華編修《應天歷》,並將伊斯蘭天文傳人中國,他的事跡已收人《中國伊斯蘭網路全書》[9]與《中國回族大詞典》[10]等,被列為伊斯蘭與中國回族之大事。據《懷寧馬氏宗譜》記載,依澤公應召人華時年已四十,生於回歷勒比阿立勿里月(拉比爾·奧沃勒月,即回歷三月)第二十日,故於宋真宗景德二年(1005)五月初十日。宋太祖乾德四年(966)八月十三日奉旨授世襲候爵兼司天監。求依澤公生於公歷與農歷的年月日。
㈡ EXCEL裡面的公歷轉農歷
這個需要VBA了.
按ALT+F11 再 插入 模塊
把下面的代碼制復制到模塊中,然後 在B1中輸入:
=calendar(A1)
假設日期在A1
Option Explicit
Dim WeekName(7), MonthAdd(11), NongliData(120), TianGan(9), DiZhi(11), ShuXiang(11), DayName(30), MonName(12)
Dim curTime, curYear, curMonth, curDay, curWeekday
Dim GongliStr, WeekdayStr, NongliStr, NongliDayStr
Dim i, m, n, k, isEnd, bit, TheDate, num1, num2
Dim year, month, day, grid, grid_date
Function calendar(grid)
grid_date = grid
year = Mid(grid_date, 1, 4)
num1 = InStr(grid_date, "-")
num2 = InStr(6, grid_date, "-")
If (num2 - num1) = 3 Then
month = Mid(grid_date, 6, 2)
day = Mid(grid_date, 9, 2)
Else
month = Mid(grid_date, 6, 1)
day = Mid(grid_date, 8, 2)
End If
'星期名
WeekName(0) = " * "
WeekName(1) = "星期日"
WeekName(2) = "星期一"
WeekName(3) = "星期二"
WeekName(4) = "星期三"
WeekName(5) = "星期四"
WeekName(6) = "星期五"
WeekName(7) = "星期六"
'天干名稱
TianGan(0) = "甲"
TianGan(1) = "乙"
TianGan(2) = "丙"
TianGan(3) = "丁"
TianGan(4) = "戊"
TianGan(5) = "己"
TianGan(6) = "庚"
TianGan(7) = "辛"
TianGan(8) = "壬"
TianGan(9) = "癸"
'地支名稱
DiZhi(0) = "子"
DiZhi(1) = "丑"
DiZhi(2) = "寅"
DiZhi(3) = "卯"
DiZhi(4) = "辰"
DiZhi(5) = "巳"
DiZhi(6) = "午"
DiZhi(7) = "未"
DiZhi(8) = "申"
DiZhi(9) = "酉"
DiZhi(10) = "戌"
DiZhi(11) = "亥"
'屬相名稱
ShuXiang(0) = "鼠"
ShuXiang(1) = "牛"
ShuXiang(2) = "虎"
ShuXiang(3) = "兔"
ShuXiang(4) = "龍"
ShuXiang(5) = "蛇"
ShuXiang(6) = "馬"
ShuXiang(7) = "羊"
ShuXiang(8) = "猴"
ShuXiang(9) = "雞"
ShuXiang(10) = "狗"
ShuXiang(11) = "豬"
'農歷日期名
DayName(0) = "*"
DayName(1) = "初一"
DayName(2) = "初二"
DayName(3) = "初三"
DayName(4) = "初四"
DayName(5) = "初五"
DayName(6) = "初六"
DayName(7) = "初七"
DayName(8) = "初八"
DayName(9) = "初九"
DayName(10) = "初十"
DayName(11) = "十一"
DayName(12) = "十二"
DayName(13) = "十三"
DayName(14) = "十四"
DayName(15) = "十五"
DayName(16) = "十六"
DayName(17) = "十七"
DayName(18) = "十八"
DayName(19) = "十九"
DayName(20) = "二十"
DayName(21) = "二十一"
DayName(22) = "二十二"
DayName(23) = "二十三"
DayName(24) = "二十四"
DayName(25) = "二十五"
DayName(26) = "二十六"
DayName(27) = "二十七"
DayName(28) = "二十八"
DayName(29) = "二十九"
DayName(30) = "三十"
'農歷月份名
MonName(0) = "*"
MonName(1) = "正"
MonName(2) = "二"
MonName(3) = "三"
MonName(4) = "四"
MonName(5) = "五"
MonName(6) = "六"
MonName(7) = "七"
MonName(8) = "八"
MonName(9) = "九"
MonName(10) = "十"
MonName(11) = "十一"
MonName(12) = "臘"
'公歷每月前面的天數
MonthAdd(0) = 0
MonthAdd(1) = 31
MonthAdd(2) = 59
MonthAdd(3) = 90
MonthAdd(4) = 120
MonthAdd(5) = 151
MonthAdd(6) = 181
MonthAdd(7) = 212
MonthAdd(8) = 243
MonthAdd(9) = 273
MonthAdd(10) = 304
MonthAdd(11) = 334
'農歷數據
NongliData(0) = 2635
NongliData(1) = 333387
NongliData(2) = 1701
NongliData(3) = 1748
NongliData(4) = 267701
NongliData(5) = 694
NongliData(6) = 2391
NongliData(7) = 133423
NongliData(8) = 1175
NongliData(9) = 396438
NongliData(10) = 3402
NongliData(11) = 3749
NongliData(12) = 331177
NongliData(13) = 1453
NongliData(14) = 694
NongliData(15) = 201326
NongliData(16) = 2350
NongliData(17) = 465197
NongliData(18) = 3221
NongliData(19) = 3402
NongliData(20) = 400202
NongliData(21) = 2901
NongliData(22) = 1386
NongliData(23) = 267611
NongliData(24) = 605
NongliData(25) = 2349
NongliData(26) = 137515
NongliData(27) = 2709
NongliData(28) = 464533
NongliData(29) = 1738
NongliData(30) = 2901
NongliData(31) = 330421
NongliData(32) = 1242
NongliData(33) = 2651
NongliData(34) = 199255
NongliData(35) = 1323
NongliData(36) = 529706
NongliData(37) = 3733
NongliData(38) = 1706
NongliData(39) = 398762
NongliData(40) = 2741
NongliData(41) = 1206
NongliData(42) = 267438
NongliData(43) = 2647
NongliData(44) = 1318
NongliData(45) = 204070
NongliData(46) = 3477
NongliData(47) = 46
NongliData(48) = 1386
NongliData(49) = 2413
NongliData(50) = 330077
NongliData(51) = 1197
NongliData(52) = 2637
NongliData(53) = 268877
NongliData(54) = 3365
NongliData(55) = 531109
NongliData(56) = 2900
NongliData(57) = 2922
NongliData(58) = 398042
NongliData(59) = 2395
NongliData(60) = 1179
NongliData(61) = 267415
NongliData(62) = 2635
NongliData(63) = 661067
NongliData(64) = 1701
NongliData(65) = 1748
NongliData(66) = 398772
NongliData(67) = 2742
NongliData(68) = 2391
NongliData(69) = 330031
NongliData(70) = 1175
NongliData(71) = 1611
NongliData(72) = 200010
NongliData(73) = 3749
NongliData(74) = 527717
NongliData(75) = 1452
NongliData(76) = 2742
NongliData(77) = 332397
NongliData(78) = 2350
NongliData(79) = 3222
NongliData(80) = 268949
NongliData(81) = 3402
NongliData(82) = 3493
NongliData(83) = 133973
NongliData(84) = 1386
NongliData(85) = 464219
NongliData(86) = 605
NongliData(87) = 2349
NongliData(88) = 334123
NongliData(89) = 2709
NongliData(90) = 2890
NongliData(91) = 267946
NongliData(92) = 2773
NongliData(93) = 592565
NongliData(94) = 1210
NongliData(95) = 2651
NongliData(96) = 395863
NongliData(97) = 1323
NongliData(98) = 2707
NongliData(99) = 265877
'生成當前公歷年、月、日 ==> GongliStr
curYear = year
curMonth = month
curDay = day
GongliStr = curYear & "年"
If (curMonth < 10) Then
GongliStr = GongliStr & "0" & curMonth & "月"
Else
GongliStr = GongliStr & curMonth & "月"
End If
If (curDay < 10) Then
GongliStr = GongliStr & "0" & curDay & "日"
Else
GongliStr = GongliStr & curDay & "日"
End If
'生成當前公歷星期 ==> WeekdayStr
curWeekday = Weekday(curTime)
WeekdayStr = WeekName(curWeekday)
'計算到初始時間1921年2月8日的天數:1921-2-8(正月初一)
TheDate = (curYear - 1921) * 365 + Int((curYear - 1921) / 4) + curDay + MonthAdd(curMonth - 1) - 38
If ((curYear Mod 4) = 0 And curMonth > 2) Then
TheDate = TheDate + 1
End If
'計算農歷天干、地支、月、日
isEnd = 0
m = 0
Do
If (NongliData(m) < 4095) Then
k = 11
Else
k = 12
End If
n = k
Do
If (n < 0) Then
Exit Do
End If
'獲取NongliData(m)的第n個二進制位的值
bit = NongliData(m)
For i = 1 To n Step 1
bit = Int(bit / 2)
Next
bit = bit Mod 2
If (TheDate <= 29 + bit) Then
isEnd = 1
Exit Do
End If
TheDate = TheDate - 29 - bit
n = n - 1
Loop
If (isEnd = 1) Then
Exit Do
End If
m = m + 1
Loop
curYear = 1921 + m
curMonth = k - n + 1
curDay = TheDate
If (k = 12) Then
If (curMonth = (Int(NongliData(m) / 65536) + 1)) Then
curMonth = 1 - curMonth
ElseIf (curMonth > (Int(NongliData(m) / 65536) + 1)) Then
curMonth = curMonth - 1
End If
End If
'生成農歷天干、地支、屬相 ==> NongliStr
NongliStr = "農歷" & TianGan(((curYear - 4) Mod 60) Mod 10) & DiZhi(((curYear - 4) Mod 60) Mod 12) & "年"
NongliStr = NongliStr & "(" & ShuXiang(((curYear - 4) Mod 60) Mod 12) & ""
'生成農歷月、日 ==> NongliDayStr
If (curMonth < 1) Then
NongliDayStr = "閏" & MonName(-1 * curMonth)
Else
NongliDayStr = MonName(curMonth)
End If
NongliDayStr = NongliDayStr & "月"
NongliDayStr = NongliDayStr & DayName(curDay) & ")"
calendar = NongliStr & NongliDayStr
End Function
㈢ 如何批是以將公歷轉為農歷
將下面面這段代碼保存在模塊中,就可以用公式 =nongli(A1) 調用了。
Public Function NongLi(Optional XX_DATE As Date)
Dim MonthAdd(11), NongliData(99), TianGan(9), DiZhi(11), ShuXiang(11), DayName(30), MonName(12)
Dim curTime, curYear, curMonth, curDay
Dim GongliStr, NongliStr, NongliDayStr
Dim i, m, n, k, isEnd, bit, TheDate
'獲取當前系統時間
curTime = XX_DATE
'天干名稱
TianGan(0) = "甲"
TianGan(1) = "乙"
TianGan(2) = "丙"
TianGan(3) = "丁"
TianGan(4) = "戊"
TianGan(5) = "己"
TianGan(6) = "庚"
TianGan(7) = "辛"
TianGan(8) = "壬"
TianGan(9) = "癸"
'地支名稱
DiZhi(0) = "子"
DiZhi(1) = "丑"
DiZhi(2) = "寅"
DiZhi(3) = "卯"
DiZhi(4) = "辰"
DiZhi(5) = "巳"
DiZhi(6) = "午"
DiZhi(7) = "未"
DiZhi(8) = "申"
DiZhi(9) = "酉"
DiZhi(10) = "戌"
DiZhi(11) = "亥"
'屬相名稱
ShuXiang(0) = "鼠"
ShuXiang(1) = "牛"
ShuXiang(2) = "虎"
ShuXiang(3) = "兔"
ShuXiang(4) = "龍"
ShuXiang(5) = "蛇"
ShuXiang(6) = "馬"
ShuXiang(7) = "羊"
ShuXiang(8) = "猴"
ShuXiang(9) = "雞"
ShuXiang(10) = "狗"
ShuXiang(11) = "豬"
'農歷日期名
DayName(0) = "*"
DayName(1) = "初一"
DayName(2) = "初二"
DayName(3) = "初三"
DayName(4) = "初四"
DayName(5) = "初五"
DayName(6) = "初六"
DayName(7) = "初七"
DayName(8) = "初八"
DayName(9) = "初九"
DayName(10) = "初十"
DayName(11) = "十一"
DayName(12) = "十二"
DayName(13) = "十三"
DayName(14) = "十四"
DayName(15) = "十五"
DayName(16) = "十六"
DayName(17) = "十七"
DayName(18) = "十八"
DayName(19) = "十九"
DayName(20) = "二十"
DayName(21) = "廿一"
DayName(22) = "廿二"
DayName(23) = "廿三"
DayName(24) = "廿四"
DayName(25) = "廿五"
DayName(26) = "廿六"
DayName(27) = "廿七"
DayName(28) = "廿八"
DayName(29) = "廿九"
DayName(30) = "三十"
'農歷月份名
MonName(0) = "*"
MonName(1) = "正"
MonName(2) = "二"
MonName(3) = "三"
MonName(4) = "四"
MonName(5) = "五"
MonName(6) = "六"
MonName(7) = "七"
MonName(8) = "八"
MonName(9) = "九"
MonName(10) = "十"
MonName(11) = "十一"
MonName(12) = "臘"
'公歷每月前面的天數
MonthAdd(0) = 0
MonthAdd(1) = 31
MonthAdd(2) = 59
MonthAdd(3) = 90
MonthAdd(4) = 120
MonthAdd(5) = 151
MonthAdd(6) = 181
MonthAdd(7) = 212
MonthAdd(8) = 243
MonthAdd(9) = 273
MonthAdd(10) = 304
MonthAdd(11) = 334
'農歷數據
NongliData(0) = 2635
NongliData(1) = 333387
NongliData(2) = 1701
NongliData(3) = 1748
NongliData(4) = 267701
NongliData(5) = 694
NongliData(6) = 2391
NongliData(7) = 133423
NongliData(8) = 1175
NongliData(9) = 396438
NongliData(10) = 3402
NongliData(11) = 3749
NongliData(12) = 331177
NongliData(13) = 1453
NongliData(14) = 694
NongliData(15) = 201326
NongliData(16) = 2350
NongliData(17) = 465197
NongliData(18) = 3221
NongliData(19) = 3402
NongliData(20) = 400202
NongliData(21) = 2901
NongliData(22) = 1386
NongliData(23) = 267611
NongliData(24) = 605
NongliData(25) = 2349
NongliData(26) = 137515
NongliData(27) = 2709
NongliData(28) = 464533
NongliData(29) = 1738
NongliData(30) = 2901
NongliData(31) = 330421
NongliData(32) = 1242
NongliData(33) = 2651
NongliData(34) = 199255
NongliData(35) = 1323
NongliData(36) = 529706
NongliData(37) = 3733
NongliData(38) = 1706
NongliData(39) = 398762
NongliData(40) = 2741
NongliData(41) = 1206
NongliData(42) = 267438
NongliData(43) = 2647
NongliData(44) = 1318
NongliData(45) = 204070
NongliData(46) = 3477
NongliData(47) = 46
NongliData(48) = 1386
NongliData(49) = 2413
NongliData(50) = 330077
NongliData(51) = 1197
NongliData(52) = 2637
NongliData(53) = 268877
NongliData(54) = 3365
NongliData(55) = 531109
NongliData(56) = 2900
NongliData(57) = 2922
NongliData(58) = 398042
NongliData(59) = 2395
NongliData(60) = 1179
NongliData(61) = 267415
NongliData(62) = 2635
NongliData(63) = 661067
NongliData(64) = 1701
NongliData(65) = 1748
NongliData(66) = 398772
NongliData(67) = 2742
NongliData(68) = 2391
NongliData(69) = 330031
NongliData(70) = 1175
NongliData(71) = 1611
NongliData(72) = 200010
NongliData(73) = 3749
NongliData(74) = 527717
NongliData(75) = 1452
NongliData(76) = 2742
NongliData(77) = 332397
NongliData(78) = 2350
NongliData(79) = 3222
NongliData(80) = 268949
NongliData(81) = 3402
NongliData(82) = 3493
NongliData(83) = 133973
NongliData(84) = 1386
NongliData(85) = 464219
NongliData(86) = 605
NongliData(87) = 2349
NongliData(88) = 334123
NongliData(89) = 2709
NongliData(90) = 2890
NongliData(91) = 267946
NongliData(92) = 2773
NongliData(93) = 592565
NongliData(94) = 1210
NongliData(95) = 2651
NongliData(96) = 395863
NongliData(97) = 1323
NongliData(98) = 2707
NongliData(99) = 265877
'生成當前公歷年、月、日 ==> GongliStr
curYear = Year(curTime)
curMonth = Month(curTime)
curDay = Day(curTime)
GongliStr = curYear & "年"
If (curMonth < 10) Then
GongliStr = GongliStr & "0" & curMonth & "月"
Else
GongliStr = GongliStr & curMonth & "月"
End If
If (curDay < 10) Then
GongliStr = GongliStr & "0" & curDay & "日"
Else
GongliStr = GongliStr & curDay & "日"
End If
'計算到初始時間1921年2月8日的天數:1921-2-8(正月初一)
TheDate = (curYear - 1921) * 365 + Int((curYear - 1921) / 4) + curDay + MonthAdd(curMonth - 1) - 38
If ((curYear Mod 4) = 0 And curMonth > 2) Then
TheDate = TheDate + 1
End If
'計算農歷天干、地支、月、日
isEnd = 0
m = 0
Do
If (NongliData(m) < 4095) Then
k = 11
Else
k = 12
End If
n = k
Do
If (n < 0) Then
Exit Do
End If
'獲取NongliData(m)的第n個二進制位的值
bit = NongliData(m)
For i = 1 To n Step 1
bit = Int(bit / 2)
Next
bit = bit Mod 2
If (TheDate <= 29 + bit) Then
isEnd = 1
Exit Do
End If
TheDate = TheDate - 29 - bit
n = n - 1
Loop
If (isEnd = 1) Then
Exit Do
End If
m = m + 1
Loop
curYear = 1921 + m
curMonth = k - n + 1
curDay = TheDate
If (k = 12) Then
If (curMonth = (Int(NongliData(m) / 65536) + 1)) Then
curMonth = 1 - curMonth
ElseIf (curMonth > (Int(NongliData(m) / 65536) + 1)) Then
curMonth = curMonth - 1
End If
End If
'生成農歷天干、地支、屬相 ==> NongliStr
NongliStr = "農歷" & TianGan(((curYear - 4) Mod 60) Mod 10) & DiZhi(((curYear - 4) Mod 60) Mod 12) & "年"
NongliStr = NongliStr & "(" & ShuXiang(((curYear - 4) Mod 60) Mod 12) & ")"
'生成農歷月、日 ==> NongliDayStr
If (curMonth < 1) Then
NongliDayStr = "閏" & MonName(-1 * curMonth)
Else
NongliDayStr = MonName(curMonth)
End If
NongliDayStr = NongliDayStr & "月"
NongliDayStr = NongliDayStr & DayName(curDay)
NongLi = NongliStr & NongliDayStr
End Function
希望能幫助你
都是網上搜的,沒有現成的函數,有大俠寫好的自定義函數,參考著用吧
http://..com/question/92434185.html
㈣ 新歷轉農歷
農歷一九九四年六月廿六的是新歷1994.08.03, 新歷1994.06.26是一九九四年五月十八。身份證上應該是農歷,不過不確定,問問家人
㈤ 有農歷和公歷相互轉換的函數嗎
農歷轉公歷:(供參考,不一定正確,閏年無法轉換)
B2=LOOKUP(--SUBSTITUTE(SUBSTITUTE(A2,-30,-28),-29,-27),--TEXT((LEFT(A2,5)&"1/1")+ROW($1:$400),"[$-130000]yyyy/m/d"),(LEFT(A2,5)&"1/1")+ROW($1:$400))+(--RIGHT(A2,2)>28)*2
驗算:C2="農歷"&TEXT(B2,"[$-130000]m月d日")