指定したユリウス日の直前の朔を求めます。グレゴリオ暦をユリウス日に変換するには、YMDToJD関数を使います。
- 構文
- saku( JD )
- 引数
- JD
- ユリウス日
- 戻値
- 朔の日時
プログラム
//////////////////////////////////////////////////
// 【引数】
// JD : ユリウス日
// 【戻値】
// 朔の日時
//////////////////////////////////////////////////
FUNCTION saku(JD)
DIM lc = 1 // loop counter
DIM JD1 = INT(JD)
DIM JD2 = JD - JD1
JD2 = JD2 - 9/24
DIM Δt1 = 0
DIM Δt2 = 1
WHILE ABS(Δt1+Δt2) > 1/86400
DIM JC = (JD2 + 0.5) / 36525
JC = JC + (JD1 - 2451545) / 36525
DIM λsun = longitudeSun(JC)
DIM λmoon = longitudeMoon(JC)
DIM Δλ = λmoon - λsun
SELECT TRUE
CASE lc = 1 AND Δλ < 0
Δλ = normalizeAngle(Δλ)
CASE λsun >= 0 AND λsun <= 20 AND λmoon >= 300
Δλ = normalizeAngle(Δλ)
Δλ = 360 - Δλ
CASE ABS(Δλ) > 40
Δλ = normalizeAngle(Δλ)
SELEND
Δt1 = INT(Δλ * 29.530589 / 360)
Δt2 = Δλ * 29.530589 / 360
Δt2 = Δt2 - Δt1
JD1 = JD1 - Δt1
JD2 = JD2 - Δt2
IFB JD2 < 0 THEN
JD2 = JD2 + 1
JD1 = JD1 - 1
ENDIF
IFB lc = 15 AND ABS(Δt1+Δt2) > 1/86400 THEN
JD1 = INT(JD - 26)
JD2 = 0
ELSEIF lc > 30 AND ABS(Δt1+Δt2) > 1/86400
JD1 = JD
JD2 = 0
ENDIF
lc = lc + 1
WEND
RESULT = JD1 + JD2 + 9/24
FEND
//////////////////////////////////////////////////
// 【引数】
// deg : 度数法
// 【戻値】
// 度数法から弧度法に変換した値
//////////////////////////////////////////////////
FUNCTION degToRad(deg)
DIM pi = 3.14159265358979
RESULT = deg * pi / 180
FEND
//////////////////////////////////////////////////
// 【引数】
// JC : ユリウス世紀
// 【戻値】
// 月黄経(λmoon)
//////////////////////////////////////////////////
FUNCTION longitudeMoon(JC)
DIM A[63] = 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0004, 0.0004, 0.0005, 0.0005, 0.0005, 0.0006, 0.0006, 0.0007, 0.0007, 0.0007, 0.0007, 0.0008, 0.0009, 0.0011, 0.0012, 0.0016, 0.0018, 0.0021, 0.0021, 0.0021, 0.0022, 0.0023, 0.0024, 0.0026, 0.0027, 0.0028, 0.0037, 0.0038, 0.004, 0.004, 0.004, 0.005, 0.0052, 0.0068, 0.0079, 0.0085, 0.01, 0.0107, 0.011, 0.0125, 0.0154, 0.0304, 0.0347, 0.0409, 0.0458, 0.0533, 0.0571, 0.0588, 0.1144, 0.1851, 0.2136, 0.6583, 1.274, 6.2888, 481267.8809 * JC, 218.3162
DIM k[63] = 2322131, 4067, 549197, 1808933, 349472, 381404, 958465, 12006, 39871, 509131, 1745069, 1908795, 2258267, 111869, 27864, 485333, 405201, 790672, 1403732, 858602, 1920802, 1267871, 1856938, 401329, 341337, 71998, 990397, 818536, 922466, 99863, 1379739, 918399, 1934, 541062, 1781068, 133, 1844932, 1331734, 481266, 31932, 926533, 449334, 826671, 1431597, 1303870, 489205, 1443603, 75870, 513197.9, 445267.1, 441199.8, 854535.2, 1367733.1, 377336.3, 63863.5, 966404, 35999, 954397.7, 890534.2, 413335.3, 477198.9, 0, 0
DIM θ0[63] = 191, 70, 220, 58, 337, 354, 340, 187, 223, 242, 24, 90, 156, 38, 127, 186, 50, 114, 98, 129, 186, 249, 152, 274, 16, 85, 357, 151, 163, 122, 17, 182, 145, 259, 21, 29, 56, 283, 205, 107, 323, 188, 111, 315, 246, 142, 52, 41, 222.5, 27.9, 47.4, 148.2, 280.7, 13.2, 124.2, 276.5, 87.53, 179.93, 145.7, 10.74, 44.963, 0, 0
DIM λmoon[63]
FOR n = 0 TO 60
DIM ang = normalizeAngle(k[n] * JC + θ0[n])
λmoon[n] = A[n] * COS(degToRad(ang))
NEXT
λmoon[61] = normalizeAngle(A[61])
λmoon[62] = normalizeAngle(A[62])
RESULT = normalizeAngle(CALCARRAY(λmoon, CALC_ADD))
FEND
//////////////////////////////////////////////////
// 【引数】
// JC : ユリウス世紀
// 【戻値】
// 太陽黄経(λsun)
//////////////////////////////////////////////////
FUNCTION longitudeSun(JC)
DIM A[18] = 0.0004, 0.0004, 0.0005, 0.0005, 0.0006, 0.0007, 0.0007, 0.0007, 0.0013, 0.0015, 0.0018, 0.0018, 0.0020, 0.0200, -0.0048*JC, 1.9147, 36000.7695*JC, 280.4659
DIM k[18] = 31557.0, 29930.0, 2281.0, 155.0, 33718.0, 9038.0, 3035.0, 65929.0, 22519.0, 45038.0, 445267.0, 19.0, 32964.0, 71998.1, 35999.05, 35999.05, 0, 0
DIM θ0[18] = 161.0, 48.0, 221.0, 118.0, 316.0, 64.0, 110.0, 45.0, 352.0, 254.0, 208.0, 159.0, 158.0, 265.1, 267.52, 267.52, 0, 0
DIM λsun[18]
FOR n = 0 TO 15
DIM ang = normalizeAngle(k[n] * JC + θ0[n])
λsun[n] = A[n] * COS(degToRad(ang))
NEXT
λsun[16] = normalizeAngle(A[16])
λsun[17] = normalizeAngle(A[17])
RESULT = normalizeAngle(CALCARRAY(λsun, CALC_ADD))
FEND
//////////////////////////////////////////////////
// 【引数】
// deg : 度数法
// 【戻値】
// 度単位の角度を0~360度に正規化
//////////////////////////////////////////////////
FUNCTION normalizeAngle(deg)
SELECT TRUE
CASE deg >= 360
deg = deg - INT(deg / 360) * 360
CASE deg < 0
deg = deg + INT(ABS(deg / 360) + 1) * 360
SELEND
RESULT = deg
FEND
解説
- 2行目
DIM lc = 1 // loop counter
- lc
- loop counter
プログラム実行例
指定した日付の直前の朔の日時を求める
DIM JD = saku(YMDToJD(2020, 4, 5))
DIM d = JDToYMD(JD)
PRINT d[0] + "/" + d[1] + "/" + d[2]
//////////////////////////////////////////////////
// 【引数】
// deg : 度数法
// 【戻値】
// 度数法から弧度法に変換した値
//////////////////////////////////////////////////
FUNCTION degToRad(deg)
DIM pi = 3.14159265358979
RESULT = deg * pi / 180
FEND
//////////////////////////////////////////////////
// 【引数】
// JD : ユリウス日
// 【戻値】
// グレゴリオ暦を格納した配列(0 : 年, 1 : 月, 2 : 日, 3 : 時, 4 : 分, 5 : 秒)
//////////////////////////////////////////////////
FUNCTION JDToYMD(JD)
DIM x0 = INT(JD + 68570)
DIM x1 = INT(x0 / 36524.25)
DIM x2 = x0 - INT(36524.25 * x1 + 0.75)
DIM x3 = INT((x2 + 1) / 365.2425)
DIM x4 = x2 - INT(365.25 * x3) + 31
DIM x5 = INT(INT(x4) / 30.59)
DIM x6 = INT(INT(x5) / 11)
DIM t2 = x4 - INT(30.59 * x5)
DIM t1 = x5 - 12 * x6 + 2
DIM t0 = 100 * (x1 - 49) + x3 + x6
IFB t1 = 2 AND t2 > 28 THEN
SELECT TRUE
CASE t0 MOD 100 = 0 AND t0 MOD 400 = 0
t2 = 29
CASE t0 MOD 4 = 0
t2 = 29
DEFAULT
t2 = 28
SELEND
ENDIF
DIM tm = 86400 * (JD - INT(JD))
DIM t3 = INT(tm / 3600)
DIM t4 = INT((tm - 3600 * t3) / 60)
DIM t5 = INT(tm - 3600 * t3 - 60 * t4)
DIM t[] = t0, t1, t2, t3, t4, t5
RESULT = SLICE(t)
FEND
//////////////////////////////////////////////////
// 【引数】
// JC : ユリウス世紀
// 【戻値】
// 月黄経(λmoon)
//////////////////////////////////////////////////
FUNCTION longitudeMoon(JC)
DIM A[63] = 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0004, 0.0004, 0.0005, 0.0005, 0.0005, 0.0006, 0.0006, 0.0007, 0.0007, 0.0007, 0.0007, 0.0008, 0.0009, 0.0011, 0.0012, 0.0016, 0.0018, 0.0021, 0.0021, 0.0021, 0.0022, 0.0023, 0.0024, 0.0026, 0.0027, 0.0028, 0.0037, 0.0038, 0.004, 0.004, 0.004, 0.005, 0.0052, 0.0068, 0.0079, 0.0085, 0.01, 0.0107, 0.011, 0.0125, 0.0154, 0.0304, 0.0347, 0.0409, 0.0458, 0.0533, 0.0571, 0.0588, 0.1144, 0.1851, 0.2136, 0.6583, 1.274, 6.2888, 481267.8809 * JC, 218.3162
DIM k[63] = 2322131, 4067, 549197, 1808933, 349472, 381404, 958465, 12006, 39871, 509131, 1745069, 1908795, 2258267, 111869, 27864, 485333, 405201, 790672, 1403732, 858602, 1920802, 1267871, 1856938, 401329, 341337, 71998, 990397, 818536, 922466, 99863, 1379739, 918399, 1934, 541062, 1781068, 133, 1844932, 1331734, 481266, 31932, 926533, 449334, 826671, 1431597, 1303870, 489205, 1443603, 75870, 513197.9, 445267.1, 441199.8, 854535.2, 1367733.1, 377336.3, 63863.5, 966404, 35999, 954397.7, 890534.2, 413335.3, 477198.9, 0, 0
DIM θ0[63] = 191, 70, 220, 58, 337, 354, 340, 187, 223, 242, 24, 90, 156, 38, 127, 186, 50, 114, 98, 129, 186, 249, 152, 274, 16, 85, 357, 151, 163, 122, 17, 182, 145, 259, 21, 29, 56, 283, 205, 107, 323, 188, 111, 315, 246, 142, 52, 41, 222.5, 27.9, 47.4, 148.2, 280.7, 13.2, 124.2, 276.5, 87.53, 179.93, 145.7, 10.74, 44.963, 0, 0
DIM λmoon[63]
FOR n = 0 TO 60
DIM ang = normalizeAngle(k[n] * JC + θ0[n])
λmoon[n] = A[n] * COS(degToRad(ang))
NEXT
λmoon[61] = normalizeAngle(A[61])
λmoon[62] = normalizeAngle(A[62])
RESULT = normalizeAngle(CALCARRAY(λmoon, CALC_ADD))
FEND
//////////////////////////////////////////////////
// 【引数】
// JC : ユリウス世紀
// 【戻値】
// 太陽黄経(λsun)
//////////////////////////////////////////////////
FUNCTION longitudeSun(JC)
DIM A[18] = 0.0004, 0.0004, 0.0005, 0.0005, 0.0006, 0.0007, 0.0007, 0.0007, 0.0013, 0.0015, 0.0018, 0.0018, 0.0020, 0.0200, -0.0048*JC, 1.9147, 36000.7695*JC, 280.4659
DIM k[18] = 31557.0, 29930.0, 2281.0, 155.0, 33718.0, 9038.0, 3035.0, 65929.0, 22519.0, 45038.0, 445267.0, 19.0, 32964.0, 71998.1, 35999.05, 35999.05, 0, 0
DIM θ0[18] = 161.0, 48.0, 221.0, 118.0, 316.0, 64.0, 110.0, 45.0, 352.0, 254.0, 208.0, 159.0, 158.0, 265.1, 267.52, 267.52, 0, 0
DIM λsun[18]
FOR n = 0 TO 15
DIM ang = normalizeAngle(k[n] * JC + θ0[n])
λsun[n] = A[n] * COS(degToRad(ang))
NEXT
λsun[16] = normalizeAngle(A[16])
λsun[17] = normalizeAngle(A[17])
RESULT = normalizeAngle(CALCARRAY(λsun, CALC_ADD))
FEND
//////////////////////////////////////////////////
// 【引数】
// deg : 度数法
// 【戻値】
// 度単位の角度を0~360度に正規化
//////////////////////////////////////////////////
FUNCTION normalizeAngle(deg)
SELECT TRUE
CASE deg >= 360
deg = deg - INT(deg / 360) * 360
CASE deg 1/86400
DIM JC = (JD2 + 0.5) / 36525
JC = JC + (JD1 - 2451545) / 36525
DIM λsun = longitudeSun(JC)
DIM λmoon = longitudeMoon(JC)
DIM Δλ = λmoon - λsun
SELECT TRUE
CASE lc = 1 AND Δλ = 0 AND λsun = 300
Δλ = normalizeAngle(Δλ)
Δλ = 360 - Δλ
CASE ABS(Δλ) > 40
Δλ = normalizeAngle(Δλ)
SELEND
Δt1 = INT(Δλ * 29.530589 / 360)
Δt2 = Δλ * 29.530589 / 360
Δt2 = Δt2 - Δt1
JD1 = JD1 - Δt1
JD2 = JD2 - Δt2
IFB JD2 1/86400 THEN
JD1 = INT(JD - 26)
JD2 = 0
ELSEIF lc > 30 AND ABS(Δt1+Δt2) > 1/86400
JD1 = JD
JD2 = 0
ENDIF
lc = lc + 1
WEND
RESULT = JD1 + JD2 + 9/24
FEND
//////////////////////////////////////////////////
// 【引数】
// year : 年
// month : 月
// day : 日
// hour : 時
// minute : 分
// second : 秒
// 【戻値】
// ユリウス日
//////////////////////////////////////////////////
FUNCTION YMDToJD(year, month, day, hour = 0, minute = 0, second = 0)
IFB month
- 結果
2020/3/24
今年の十五夜の日付を求める
GETTIME()
DIM year = G_TIME_YY + 1
DIM month = 1
DIM day = 1
REPEAT
DIM JD = saku(YMDToJD(year, month, day))
DIM d = JDToYMD(JD)
year = d[0]
month = d[1]
day = d[2]
DIM date = getKyureki(year, month, day)
UNTIL date[2] = 8
RESIZE(d, 2)
arrayMap("text(%val%, <#DBL>00<#DBL>)", d)
date = JOIN(d, "/")
PRINT dateAdd("d", 14, date)
//////////////////////////////////////////////////
// 【引数】
// callback : 配列の各要素に適用するコールバック関数
// array : コールバック関数を適用する配列
// 【戻値】
// callback関数を適用した後、 適用後の要素を含む配列
//////////////////////////////////////////////////
PROCEDURE arrayMap(callback, var array[])
DIM tmp[RESIZE(array)]
DIM n = 0
FOR %val% IN array
tmp[n] = EVAL(callback)
n = n + 1
NEXT
RESIZE(array, RESIZE(tmp))
FOR n = 0 TO RESIZE(tmp)
array[n] = tmp[n]
NEXT
FEND
//////////////////////////////////////////////////
// 【引数】
// array : 要素を追加する配列(参照引数)
// str : 追加する要素
// 【戻値】
// 処理後の配列の中の要素の数
//////////////////////////////////////////////////
FUNCTION arrayPush(var arr[], str)
DIM res = RESIZE(arr, UBound(arr) + 1)
arr[res] = str
RESULT = res + 1
FEND
//////////////////////////////////////////////////
// 【引数】
// JD : ユリウス日
// 【戻値】
// 中気と太陽黄経を格納した配列(0 : 中気, 1 : 太陽黄経)
//////////////////////////////////////////////////
FUNCTION chuki(JD)
JD = JD - 9/24
DIM t = (JD + 0.5 - 2451545) / 36525
DIM λsun = longitudeSun(t)
DIM λsun0 = 30 * INT(λsun/30)
REPEAT
t = (JD + 0.5 - 2451545) / 36525
λsun = longitudeSun(t)
DIM Δλ = λsun - λsun0
SELECT TRUE
CASE Δλ > 180
Δλ = Δλ - 360
CASE Δλ 0 THEN
year = G_TIME_YY + INT((G_TIME_MM + num - 1) / 12)
month = REPLACE(FORMAT(((G_TIME_MM + num) MOD 12), 2), " ", "0")
ELSE
year = G_TIME_YY + CEIL((G_TIME_MM + num) / 12 - 1)
month = REPLACE(FORMAT(G_TIME_MM - (ABS(num) MOD 12), 2), " ", "0")
ENDIF
IF month = "00" THEN month = "12"
day = G_TIME_DD2
d = "" + year + month + day
IFB !isDate(d) THEN
d = year + "/" + month + "/" + "01"
d = getEndOfMonth(d)
ELSE
d = year + "/" + month + "/" + day
ENDIF
CASE "d"
t = GETTIME(num, date)
d = G_TIME_YY4 + "/" + G_TIME_MM2 + "/" + G_TIME_DD2 + IIF(t MOD 86400, " " + G_TIME_HH2 + ":" + G_TIME_NN2 + ":" + G_TIME_SS2, "")
CASE "ww"
t = GETTIME(num * 7, date)
d = G_TIME_YY4 + "/" + G_TIME_MM2 + "/" + G_TIME_DD2 + IIF(t MOD 86400, " " + G_TIME_HH2 + ":" + G_TIME_NN2 + ":" + G_TIME_SS2, "")
CASE "h"
t = GETTIME(num / 24, date)
d = G_TIME_YY4 + "/" + G_TIME_MM2 + "/" + G_TIME_DD2 + IIF(t MOD 86400, " " + G_TIME_HH2 + ":" + G_TIME_NN2 + ":" + G_TIME_SS2, "")
CASE "n"
t = GETTIME(num / 1440, date)
d = G_TIME_YY4 + "/" + G_TIME_MM2 + "/" + G_TIME_DD2 + IIF(t MOD 86400, " " + G_TIME_HH2 + ":" + G_TIME_NN2 + ":" + G_TIME_SS2, "")
CASE "s"
t = GETTIME(num / 86400, date)
d = G_TIME_YY4 + "/" + G_TIME_MM2 + "/" + G_TIME_DD2 + IIF(t MOD 86400, " " + G_TIME_HH2 + ":" + G_TIME_NN2 + ":" + G_TIME_SS2, "")
SELEND
RESULT = d
FEND
//////////////////////////////////////////////////
// 【引数】
// interval : 時間単位(yyyy︰年、q:四半期、m︰月、d︰日、w:週日、ww:週、h:時、n:分、s:秒)
// date1 : 日時1
// date2 : 日時2
// 【戻値】
// date2からdate1を引いた時間間隔を求めます。
//////////////////////////////////////////////////
FUNCTION dateDiff(interval, date1, date2)
DIM y1, y2, m1, m2, d1, d2, d
SELECT interval
CASE "yyyy"
GETTIME(0, date1)
y1 = G_TIME_YY
GETTIME(0, date2)
y2 = G_TIME_YY
d = y2 - y1
CASE "q"
GETTIME(0, date1)
y1 = G_TIME_YY
m1 = G_TIME_MM
GETTIME(0, date2)
y2 = G_TIME_YY
m2 = G_TIME_MM
d = y2 * 4 + CEIL(m2/3) - (y1 * 4 + CEIL(m1/3))
CASE "m"
GETTIME(0, date1)
y1 = G_TIME_YY
m1 = G_TIME_MM
GETTIME(0, date2)
y2 = G_TIME_YY
m2 = G_TIME_MM
d = (y2 - y1) * 12 + m2 - m1
CASE "d"
d1 = GETTIME(0, date1)
d2 = GETTIME(0, date2)
d = (d2 - d1) / 86400
CASE "w"
d = INT(dateDiff("d", date1, date2) / 7)
CASE "ww"
date1 = dateAdd("d", -1 * getWeekday(date1), date1)
d = INT(dateDiff("d", date1, date2) / 7)
CASE "h"
d = dateDiff("d", date1, date2) * 24
CASE "n"
d = dateDiff("d", date1, date2) * 1440
CASE "s"
d = dateDiff("d", date1, date2) * 86400
SELEND
RESULT = d
FEND
//////////////////////////////////////////////////
// 【引数】
// deg : 度数法
// 【戻値】
// 度数法から弧度法に変換した値
//////////////////////////////////////////////////
FUNCTION degToRad(deg)
DIM pi = 3.14159265358979
RESULT = deg * pi / 180
FEND
//////////////////////////////////////////////////
// 【引数】
// arr : 最大公約数を求める数値を格納した配列
// 【戻値】
// 最大公約数
//////////////////////////////////////////////////
FUNCTION GCD(arr[])
DIM c = LENGTH(arr)
DIM rem = arr[c-1] MOD arr[c-2]
IFB rem = 0 THEN
IFB LENGTH(arr) = 2 THEN
RESULT = arr[c-2]
EXIT
ENDIF
RESIZE(arr, c-2)
RESULT = GCD(arr)
EXIT
ENDIF
arr[c-1] = arr[c-2]
arr[c-2] = rem
RESULT = GCD(arr)
FEND
//////////////////////////////////////////////////
// 【引数】
// date : 日付(”YYYYMMDD” or “YYYY/MM/DD” or “YYYY-MM-DD” or “YYYYMMDDHHNNSS” or “YYYY/MM/DD HH:NN:SS”)
// m : 第一引数の指定日からプラスマイナス m 月とする(デフォルト=0)
// 【戻値】
// date から m 月後の月末の日付
//////////////////////////////////////////////////
FUNCTION getEndOfMonth(date, m = 0)
date = dateAdd("m", m + 1, date)
GETTIME(0, date)
GETTIME(-G_TIME_DD, date)
RESULT = G_TIME_YY4 + "/" + G_TIME_MM2 + "/" + G_TIME_DD2
FEND
//////////////////////////////////////////////////
// 【引数】
// year : 年
// month : 月
// day : 日
// 【戻値】
// 旧暦を格納した配列(0 : 年, 1 : 月, 2 : 日)
//////////////////////////////////////////////////
FUNCTION getKyureki(year, month, day)
DIM tm = YMDToJD(year, month, day, 0, 0, 0)
DIM chu[-1] // n*2︰ユリウス日、n*2+1︰Δλsun0、n=0,1,2
DIM tmp
tmp = nishiNibun(tm)
FOR n = 0 TO UBound(tmp)
arrayPush(chu, tmp[n])
NEXT
// 中気の計算 3回 chu[n]︰n+1回目
FOR n = 0 TO 2
tmp = chuki(chu[n*2] + 32)
FOR n = 0 TO UBound(tmp)
arrayPush(chu, tmp[n])
NEXT
NEXT
DIM saku[5]
saku[0] = saku(chu[0])
// 朔の計算
FOR n = 1 TO 4
saku[n] = saku(saku[n-1] + 30)
IFB ABS(INT(saku[n-1]) - INT(saku[n])) INT(chu[0*2+0])
SHIFTARRAY(saku, 1)
saku[0] = saku(saku[0] - 27)
SELEND
DIM kyureki[3] // 0︰年、1︰閏月、2︰月、3︰日
// 閏月検索
DIM flg = FALSE
IF INT(saku[4]) 12 THEN m[0][0] = m[0][0] - 12
m[0][2] = INT(saku[0*0+0])
m[0][1] = ""
FOR n = 1 TO 4
IFB flg = TRUE AND n 1 THEN
IFB INT(chu[(n-1)*2+0]) = INT(saku[n]) THEN
m[n-1][0] = m[n-2][0]
m[n-1][1] = "閏"
m[n-1][2] = INT(saku[n-1])
flg = FALSE
ENDIF
ENDIF
m[n][0] = m[n-1][0] + 1
IF m[n][0] > 12 THEN m[n][0] = m[n][0] - 12
m[n][2] = INT(saku[n])
m[n][1] = ""
NEXT
DIM state = 0
FOR n = 0 TO 4
IFB INT(tm) 9 AND kyureki[2] > d[1] THEN kyureki[0] = kyureki[0] - 1
RESULT = SLICE(kyureki)
FEND
//////////////////////////////////////////////////
// 【引数】
// 日付 : (”YYYYMMDD” or “YYYY/MM/DD” or “YYYY-MM-DD” or “YYYYMMDDHHNNSS” or “YYYY/MM/DD HH:NN:SS”)
// 【戻値】
// 曜日 (0:日曜…、6:土曜)
//////////////////////////////////////////////////
FUNCTION getWeekday(date)
GETTIME(0, date)
RESULT = G_TIME_WW
FEND
//////////////////////////////////////////////////
// 【引数】
// 数値 : GETTIMEで取得した曜日の番号(G_TIME_WW=0:日曜….6:土曜)
// フォーマット : 以下のアルファベットは数値で指定した対応する曜日に置き換えられます。(aaa : 日〜土、aaaa : 日曜日〜土曜日、ddd : Sun〜Sat、dddd : Sunday〜Saturday)
// 【戻値】
// 数値をフォーマットした文字列を返します。
//////////////////////////////////////////////////
FUNCTION getWeekdayName(num, format = "aaa")
DIM re = CREATEOLEOBJ("VBScript.RegExp")
DIM aaa[] = "日", "月", "火", "水", "木", "金", "土";
DIM aaaa[] = "日曜日", "月曜日", "火曜日", "水曜日", "木曜日", "金曜日", "土曜日";
DIM ddd[] = "Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat";
DIM dddd[] = "Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday";
match = reExecute(format, "(a|d)+")
type = match.Item(0).Value
RESULT = reReplace(format, EVAL(type + "[" + num + "]"), type)
FEND
//////////////////////////////////////////////////
// 【引数】
// シリアル値 : 時間を表すシリアル値を指定
// 【戻値】
// 例)0…00、0.5…12、1.0…24
//////////////////////////////////////////////////
FUNCTION Hour(serial)
RESULT = REPLACE(FORMAT(INT(serial * 24), 2), " ", "0")
FEND
//////////////////////////////////////////////////
// 【引数】
// expr : 評価する式
// truepart : 評価した式がTrueのときに返す値
// falsepart : 評価した式がFalseのときに返す値
// 【戻値】
// truepart : 評価した式がTrueのとき、falsepart : 評価した式がFalseのとき
//////////////////////////////////////////////////
FUNCTION IIF(expr, truepart, falsepart)
IFB EVAL(expr) THEN
RESULT = truepart
ELSE
RESULT = falsepart
ENDIF
FEND
//////////////////////////////////////////////////
// 【引数】
// 日付 : YYYYMMDD
// 【戻値】
// TRUE : 日付として認識できる、FALSE : 日付として認識できない
//////////////////////////////////////////////////
FUNCTION isDate(date)
DIM Pattern = "^(?!([02468][1235679]|[13579][01345789])000229)(([0-9]{4}(01|03|05|07|08|10|12)(0[1-9]|[12][0-9]|3[01]))|([0-9]{4}(04|06|09|11)(0[1-9]|[12][0-9]|30))|([0-9]{4}02(0[1-9]|1[0-9]|2[0-8]))|([0-9]{2}([02468][048]|[13579][26])0229))$"
DIM Match = reExecute(date, Pattern)
RESULT = IIF(Match.Count 0, TRUE, FALSE)
FEND
//////////////////////////////////////////////////
// 【引数】
// JD : ユリウス日
// 【戻値】
// グレゴリオ暦を格納した配列(0 : 年, 1 : 月, 2 : 日, 3 : 時, 4 : 分, 5 : 秒)
//////////////////////////////////////////////////
FUNCTION JDToYMD(JD)
DIM x0 = INT(JD + 68570)
DIM x1 = INT(x0 / 36524.25)
DIM x2 = x0 - INT(36524.25 * x1 + 0.75)
DIM x3 = INT((x2 + 1) / 365.2425)
DIM x4 = x2 - INT(365.25 * x3) + 31
DIM x5 = INT(INT(x4) / 30.59)
DIM x6 = INT(INT(x5) / 11)
DIM t2 = x4 - INT(30.59 * x5)
DIM t1 = x5 - 12 * x6 + 2
DIM t0 = 100 * (x1 - 49) + x3 + x6
IFB t1 = 2 AND t2 > 28 THEN
SELECT TRUE
CASE t0 MOD 100 = 0 AND t0 MOD 400 = 0
t2 = 29
CASE t0 MOD 4 = 0
t2 = 29
DEFAULT
t2 = 28
SELEND
ENDIF
DIM tm = 86400 * (JD - INT(JD))
DIM t3 = INT(tm / 3600)
DIM t4 = INT((tm - 3600 * t3) / 60)
DIM t5 = INT(tm - 3600 * t3 - 60 * t4)
DIM t[] = t0, t1, t2, t3, t4, t5
RESULT = SLICE(t)
FEND
//////////////////////////////////////////////////
// 【引数】
// JC : ユリウス世紀
// 【戻値】
// 月黄経(λmoon)
//////////////////////////////////////////////////
FUNCTION longitudeMoon(JC)
DIM A[63] = 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0003, 0.0004, 0.0004, 0.0005, 0.0005, 0.0005, 0.0006, 0.0006, 0.0007, 0.0007, 0.0007, 0.0007, 0.0008, 0.0009, 0.0011, 0.0012, 0.0016, 0.0018, 0.0021, 0.0021, 0.0021, 0.0022, 0.0023, 0.0024, 0.0026, 0.0027, 0.0028, 0.0037, 0.0038, 0.004, 0.004, 0.004, 0.005, 0.0052, 0.0068, 0.0079, 0.0085, 0.01, 0.0107, 0.011, 0.0125, 0.0154, 0.0304, 0.0347, 0.0409, 0.0458, 0.0533, 0.0571, 0.0588, 0.1144, 0.1851, 0.2136, 0.6583, 1.274, 6.2888, 481267.8809 * JC, 218.3162
DIM k[63] = 2322131, 4067, 549197, 1808933, 349472, 381404, 958465, 12006, 39871, 509131, 1745069, 1908795, 2258267, 111869, 27864, 485333, 405201, 790672, 1403732, 858602, 1920802, 1267871, 1856938, 401329, 341337, 71998, 990397, 818536, 922466, 99863, 1379739, 918399, 1934, 541062, 1781068, 133, 1844932, 1331734, 481266, 31932, 926533, 449334, 826671, 1431597, 1303870, 489205, 1443603, 75870, 513197.9, 445267.1, 441199.8, 854535.2, 1367733.1, 377336.3, 63863.5, 966404, 35999, 954397.7, 890534.2, 413335.3, 477198.9, 0, 0
DIM θ0[63] = 191, 70, 220, 58, 337, 354, 340, 187, 223, 242, 24, 90, 156, 38, 127, 186, 50, 114, 98, 129, 186, 249, 152, 274, 16, 85, 357, 151, 163, 122, 17, 182, 145, 259, 21, 29, 56, 283, 205, 107, 323, 188, 111, 315, 246, 142, 52, 41, 222.5, 27.9, 47.4, 148.2, 280.7, 13.2, 124.2, 276.5, 87.53, 179.93, 145.7, 10.74, 44.963, 0, 0
DIM λmoon[63]
FOR n = 0 TO 60
DIM ang = normalizeAngle(k[n] * JC + θ0[n])
λmoon[n] = A[n] * COS(degToRad(ang))
NEXT
λmoon[61] = normalizeAngle(A[61])
λmoon[62] = normalizeAngle(A[62])
RESULT = normalizeAngle(CALCARRAY(λmoon, CALC_ADD))
FEND
//////////////////////////////////////////////////
// 【引数】
// JC : ユリウス世紀
// 【戻値】
// 太陽黄経(λsun)
//////////////////////////////////////////////////
FUNCTION longitudeSun(JC)
DIM A[18] = 0.0004, 0.0004, 0.0005, 0.0005, 0.0006, 0.0007, 0.0007, 0.0007, 0.0013, 0.0015, 0.0018, 0.0018, 0.0020, 0.0200, -0.0048*JC, 1.9147, 36000.7695*JC, 280.4659
DIM k[18] = 31557.0, 29930.0, 2281.0, 155.0, 33718.0, 9038.0, 3035.0, 65929.0, 22519.0, 45038.0, 445267.0, 19.0, 32964.0, 71998.1, 35999.05, 35999.05, 0, 0
DIM θ0[18] = 161.0, 48.0, 221.0, 118.0, 316.0, 64.0, 110.0, 45.0, 352.0, 254.0, 208.0, 159.0, 158.0, 265.1, 267.52, 267.52, 0, 0
DIM λsun[18]
FOR n = 0 TO 15
DIM ang = normalizeAngle(k[n] * JC + θ0[n])
λsun[n] = A[n] * COS(degToRad(ang))
NEXT
λsun[16] = normalizeAngle(A[16])
λsun[17] = normalizeAngle(A[17])
RESULT = normalizeAngle(CALCARRAY(λsun, CALC_ADD))
FEND
//////////////////////////////////////////////////
// 【引数】
// JD : ユリウス日
// 【戻値】
// 指定したユリウス日の直前の二至二分の日時
//////////////////////////////////////////////////
FUNCTION nishiNibun(JD)
// ユリウス日を力学時に変換
DIM TD = JD - 9/24
DIM n = 1
REPEAT
// 力学時をユリウス世紀に変換
DIM JC = (TD + 0.5 - 2451545) / 36525
DIM λsun = longitudeSun(JC)
IF n = 1 THEN DIM λsun0 = INT(λsun / 90) * 90
DIM Δλ = λsun - λsun0
SELECT TRUE
CASE Δλ > 180
Δλ = Δλ - 360
CASE Δλ = 360
deg = deg - INT(deg / 360) * 360
CASE deg 1/86400
DIM JC = (JD2 + 0.5) / 36525
JC = JC + (JD1 - 2451545) / 36525
DIM λsun = longitudeSun(JC)
DIM λmoon = longitudeMoon(JC)
DIM Δλ = λmoon - λsun
SELECT TRUE
CASE lc = 1 AND Δλ = 0 AND λsun = 300
Δλ = normalizeAngle(Δλ)
Δλ = 360 - Δλ
CASE ABS(Δλ) > 40
Δλ = normalizeAngle(Δλ)
SELEND
Δt1 = INT(Δλ * 29.530589 / 360)
Δt2 = Δλ * 29.530589 / 360
Δt2 = Δt2 - Δt1
JD1 = JD1 - Δt1
JD2 = JD2 - Δt2
IFB JD2 1/86400 THEN
JD1 = INT(JD - 26)
JD2 = 0
ELSEIF lc > 30 AND ABS(Δt1+Δt2) > 1/86400
JD1 = JD
JD2 = 0
ENDIF
lc = lc + 1
WEND
RESULT = JD1 + JD2 + 9/24
FEND
//////////////////////////////////////////////////
// 【引数】
// inputs : 繰り返す文字列
// multiplier : inputsを繰り返す回数
// 【戻値】
// inputsをmultiplier回を繰り返した文字列を返します
//////////////////////////////////////////////////
FUNCTION strRepeat(inputs, multiplier)
DIM res = ""
FOR n = 1 TO multiplier
res = res + inputs
NEXT
RESULT = res
FEND
//////////////////////////////////////////////////
// 【引数】
// serial : シリアル値
// format : フォーマット
// 【戻値】
// 数値を表示書式に基づいて変換した文字列
//////////////////////////////////////////////////
FUNCTION text(serial, format, hour12 = FALSE)
HASHTBL startDate
startDate["明治"] = "1868/01/25"
startDate["大正"] = "1912/07/30"
startDate["昭和"] = "1926/12/25"
startDate["平成"] = "1989/01/08"
startDate["令和"] = "2019/05/01"
DIM baseDate = "1899/12/30"
SELECT TRUE
CASE reTest(format, "\[h+\]")
Matches = reExecute(format, "\[(h+)\]")
DIM hour = iif(hour12, Hour(serial) MOD 12, Hour(serial))
RESULT = text(hour, strRepeat("0", LENGTH(Matches.Item(0).SubMatches(0))))
CASE reTest(format, "^h+$")
Matches = reExecute(format, "^(h+)$")
hour = iif(hour12, Hour(serial) MOD 12, Hour(serial))
RESULT = text(hour MOD 24, strRepeat("0", LENGTH(Matches.Item(0).SubMatches(0))))
CASE reTest(format, "\[m+\]")
Matches = reExecute(format, "\[(m+)\]")
RESULT = text(serial * 1440, strRepeat("0", LENGTH(Matches.Item(0).SubMatches(0))))
CASE format = "m"
GETTIME(serial, baseDate)
RESULT = text(G_TIME_MM, "0")
CASE format = "mm"
GETTIME(serial, baseDate)
RESULT = G_TIME_MM2
CASE format = "n"
GETTIME(serial, baseDate)
RESULT = G_TIME_NN
CASE format = "nn"
GETTIME(serial, baseDate)
RESULT = G_TIME_NN2
CASE format = "s"
GETTIME(serial, baseDate)
RESULT = text(G_TIME_SS, "0")
CASE format = "ss"
GETTIME(serial, baseDate)
RESULT = G_TIME_SS2
CASE format = "yyyy"
GETTIME(serial, baseDate)
RESULT = G_TIME_YY4
CASE format = "yy"
GETTIME(serial, baseDate)
RESULT = COPY(G_TIME_YY4, 3, 2)
CASE format = "e"
SELECT TRUE
CASE dateDiff("d", startDate["令和"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(serial, "yyyy") - 2018
CASE dateDiff("d", startDate["平成"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(serial, "yyyy") - 1988
CASE dateDiff("d", startDate["昭和"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(serial, "yyyy") - 1925
CASE dateDiff("d", startDate["大正"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(serial, "yyyy") - 1911
CASE dateDiff("d", startDate["明治"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(serial, "yyyy") - 1867
SELEND
CASE format = "ee"
SELECT TRUE
CASE dateDiff("d", startDate["令和"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(text(serial, "yyyy") - 2018, "00")
CASE dateDiff("d", startDate["平成"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(text(serial, "yyyy") - 1988, "00")
CASE dateDiff("d", startDate["昭和"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(text(serial, "yyyy") - 1925, "00")
CASE dateDiff("d", startDate["大正"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(text(serial, "yyyy") - 1911, "00")
CASE dateDiff("d", startDate["明治"], text(serial, "yyyy/mm/dd")) >= 0
RESULT = text(text(serial, "yyyy") - 1867, "00")
SELEND
CASE format = "g"
SELECT TRUE
CASE dateDiff("d", startDate["令和"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "R"
CASE dateDiff("d", startDate["平成"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "H"
CASE dateDiff("d", startDate["昭和"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "S"
CASE dateDiff("d", startDate["大正"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "T"
CASE dateDiff("d", startDate["明治"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "M"
SELEND
CASE format = "gg"
RESULT = COPY(text(serial, "ggg"), 1, 1)
CASE format = "ggg"
SELECT TRUE
CASE dateDiff("d", startDate["令和"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "令和"
CASE dateDiff("d", startDate["平成"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "平成"
CASE dateDiff("d", startDate["昭和"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "昭和"
CASE dateDiff("d", startDate["大正"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "大正"
CASE dateDiff("d", startDate["明治"], text(serial, "yyyy/mm/dd")) >= 0; RESULT = "明治"
SELEND
CASE format = "mmmmm"
RESULT = COPY(text(serial, "mmmm"), 1, 1)
CASE format = "mmmm"
DIM month[] = "January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"
RESULT = month[text(serial, "m") - 1]
CASE format = "mmm"
RESULT = COPY(text(serial, "mmmm"), 1, 3)
CASE format = "dd"
GETTIME(serial, baseDate)
RESULT = text(G_TIME_DD2, "00")
CASE format = "d"
GETTIME(serial, baseDate)
RESULT = text(G_TIME_DD, "0")
CASE reTest(format, "^[ad]{3,4}$")
Matches = reExecute(format, "([ad]{3,4})")
GETTIME(serial, baseDate)
RESULT = getWeekdayName(G_TIME_WW, Matches.Item(0).SubMatches(0))
CASE reTest(format, "(0+\.?0+)?%")
Matches = reExecute(format, "(0+\.?0+)?%")
RESULT = text(serial * 100, Matches.Item(0).SubMatches(0)) + "%"
CASE reTest(format, "^\[DBNum\d{1,4}\](.*?)$")
Matches = reExecute(format, "^\[DBNum(\d{1,4})\](.*?)$")
DIM value = VAL(Matches.Item(0).SubMatches(0))
DIM sss = text(serial, Matches.Item(0).SubMatches(1))
Matches = reExecute(sss, "(\D+)?(\d+)(\D+)?")
DIM res = ""
FOR m = 0 TO Matches.Count - 1
serial = Matches.Item(m).SubMatches(1)
SELECT value
CASE 1, 2
DIM n[][9] = "〇", "一", "二", "三", "四", "五", "六", "七", "八", "九", + _
"", "壱", "弐", "参", "四", "伍", "六", "七", "八", "九"
DIM a[][3] = "", "十", "百", "千", + _
"", "拾", "百", "阡"
DIM b[][3] = "", "万", "億", "兆", + _
"", "萬", "億", "兆"
DIM r = ""
DIM j = 0
type = value - 1
REPEAT
DIM str = ""
DIM n4 = serial MOD 10000
FOR i = LENGTH(n4) TO 1 STEP -1
s = COPY(n4, i, 1)
IFB s = 1 AND a[type][LENGTH(n4)-i] "" THEN
str = IIF(s, a[type][LENGTH(n4)-i], "") + str
ELSE
str = n[type][s] + IIF(s, a[type][LENGTH(n4)-i], "") + str
ENDIF
NEXT
IF str "" THEN r = str + b[type][j] + r
j = j + 1
serial = INT(serial / 10000)
UNTIL serial = 0
res = res + Matches.Item(m).SubMatches(0) + r + Matches.Item(m).SubMatches(2)
CASE 3
res = res + Matches.Item(m).SubMatches(0) + STRCONV(serial, SC_FULLWIDTH) + Matches.Item(m).SubMatches(2)
CASE 4
res = res + Matches.Item(m).SubMatches(0) + STRCONV(serial, SC_HALFWIDTH) + Matches.Item(m).SubMatches(2)
SELEND
NEXT
RESULT = res
CASE reTest(format, "^(.*?)(AM\/PM|am\/pm|A\/P|a\/p)(.*?)$")
Matches = reExecute(format, "^(.*?)(AM\/PM|am\/pm|A\/P|a\/p)(.*?)$")
DIM array = SPLIT(Matches.Item(0).SubMatches(1), "/")
ampm = array[IIF(serial - INT(serial) >= 0.5, 1, 0)]
hour12 = TRUE
res = ""
WITH Matches.Item(0)
res = text(serial, .SubMatches(0), hour12) + ampm + text(serial, .SubMatches(2), hour12)
ENDWITH
RESULT = res
CASE reTest(format, "([^ymdagehns]{0,})?(([ymdagehns])\3{0,})([^ymdagehns]+)?")
Matches = reExecute(format, "([^ymdagehns]{0,})?(([ymdagehns])\3{0,})([^ymdagehns]+)?")
FOR n = 0 TO Matches.Count - 1
IF n = 0 THEN res = Matches.Item(n).SubMatches(0)
NEXT
FOR n = 0 TO Matches.Count - 1
WITH Matches.Item(n)
res = res + text(serial, .SubMatches(1), hour12) + .SubMatches(3)
ENDWITH
NEXT
RESULT = res
CASE format = "0/0"
DIM separator = POS(".", serial)
DIM g = 0
IFB separator 0 THEN
DIM keta = LENGTH(serial)
DIM shift = POWER(10, keta - separator)
IFB shift >= POWER(10, 15) THEN
DIM position = 0
FOR i = 0 TO 14
IFB serial * POWER(10, i) - serial >= 1 THEN
position = i
BREAK
ENDIF
NEXT
tmp = serial * POWER(10, position)
FOR i = 1 TO 15
r = (tmp * POWER(10, i)) / serial - (tmp / serial)
a1 = tmp * POWER(10, i) - tmp
IF a1 = INT(a1) THEN BREAK
NEXT
DIM frac[] = a1, r
g = GCD(frac)
RESULT = (a1/g) + "/" + (r/g)
ELSE
DIM molecule = serial * shift // 分子
DIM denominator = shift // 分母
DIM nums[] = molecule, denominator
g = GCD(nums)
molecule = molecule / g
denominator = denominator / g
RESULT = molecule + "/" + denominator
ENDIF
ELSE
RESULT = serial + "/1"
ENDIF
CASE reTest(format, "(0+)\.?(0+)?") AND UBound(SPLIT(format, "."))
- 結果
2020/10/01
朔
朔とは、月と太陽の黄経が等しくなる時刻のことを言い新月と同じような意味合いです。旧暦では朔を含む日を朔日としていて、この関数ではその朔を求めています。
関連記事
- YMDToJD
- YMDToJD関数は、グレゴリオ暦をユリウス日をに変換する関数です。西暦1582年10月15日以降の日時を指定してください。ユリウス日をグレゴリオ暦に変換するには、JDToYMD関数を使います。
- JDToYMD
- JDToYMD関数は、ユリウス日をグレゴリオ暦に変換する関数です。グレゴリオ暦をユリウス日に変換するには、YMDToJD関数を使います。
- getKyureki
- getKyureki関数は、引数に指定したグレゴリオ暦の年月日から旧暦(天保暦)の日付を求める関数です。
- nishiNibun
- nishiNibun関数は、引数に指定したユリウス日の直前の二至二分の日時を求める関数です。
- chuki
- chuki関数は、引数に指定したユリウス日の直前の中気を求める関数です。
- getRokuyo
- getRokuyo関数は、引数に指定した日付から六曜を求める関数です。第一引数に年、第二引数に月、第三引数に日を指定します。