1. 补充农历覆盖到公元前104年
2. 农历信息中包含君主、年号、朝代 3. 丰富一些算法，修正一些问题
This commit is contained in:
+1
-1
@@ -34,6 +34,6 @@ func show() {
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fmt.Print("农历：")
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fmt.Println(GetLunar(2019, 10, 23, 8.0/24.0))
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fmt.Println("当前月出：", JDE2Date(GetMoonRiseTime(jde, 115, 32, 8, 1, 10)))
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fmt.Println("当前月落：", JDE2Date(GetMoonDownTime(jde, 115, 32, 8, 1, 10)))
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fmt.Println("当前月落：", JDE2Date(GetMoonSetTime(jde, 115, 32, 8, 1, 10)))
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fmt.Println("月相：", MoonLight(jde-8.0/24.0))
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}
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+249
-141
@@ -7,7 +7,7 @@ import (
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"time"
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)
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var defDeltaTFn = DefaultDeltaT
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var defDeltaTFn = DefaultDeltaTv2
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/*
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@name: 儒略日计算
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@@ -152,6 +152,93 @@ func DefaultDeltaT(Date float64, IsJDE bool) (Result float64) { //传入年或
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return
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}
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func DefaultDeltaTv2(date float64, isJd bool) float64 { //传入年或儒略日，传出为秒
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if !isJd {
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date = JDECalc(int(date), int((date-math.Floor(date))*12)+1, (date-math.Floor(date))*365.25+1)
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}
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return DeltaTv2(date)
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}
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// 使用Stephenson等人(2016)和Morrison等人(2021)的拟合和外推公式计算Delta T
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// http://astro.ukho.gov.uk/nao/lvm/
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// 2010年后的系数已修改以包含2019年后的数据
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// 返回Delta T，单位为秒
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func DeltaTSplineY(y float64) float64 {
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// 积分lod（平均太阳日偏离86400秒的偏差）方程：
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// 来自 http://astro.ukho.gov.uk/nao/lvm/：
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// lod = 1.72 t − 3.5 sin(2*pi*(t+0.75)/14) 单位ms/day，其中 t = (y - 1825)/100
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// 是从1825年开始的世纪数
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// 使用 1ms = 1e-3s 和 1儒略年 = 365.25天，
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// lod = 6.2823e-3 * Delta y - 1.278375*sin(2*pi/14*(Delta y /100 + 0.75) 单位s/year
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// 其中 Delta y = y - 1825。积分该方程得到
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// Integrate[lod, y] = 3.14115e-3*(Delta y)^2 + 894.8625/pi*cos(2*pi/14*(Delta y /100 + 0.75)
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// 单位为秒。积分常数设为0。
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integratedLod := func(x float64) float64 {
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u := x - 1825
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return 3.14115e-3*u*u + 284.8435805251424*math.Cos(0.4487989505128276*(0.01*u+0.75))
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}
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if y < -720 {
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// 使用积分lod + 常数
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const c = 1.007739546148514
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return integratedLod(y) + c
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}
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if y > 2025 {
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// 使用积分lod + 常数
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const c = -150.56787057979514
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return integratedLod(y) + c
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}
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// 使用三次样条拟合
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y0 := []float64{-720, -100, 400, 1000, 1150, 1300, 1500, 1600, 1650, 1720, 1800, 1810, 1820, 1830, 1840, 1850, 1855, 1860, 1865, 1870, 1875, 1880, 1885, 1890, 1895, 1900, 1905, 1910, 1915, 1920, 1925, 1930, 1935, 1940, 1945, 1950, 1953, 1956, 1959, 1962, 1965, 1968, 1971, 1974, 1977, 1980, 1983, 1986, 1989, 1992, 1995, 1998, 2001, 2004, 2007, 2010, 2013, 2016, 2019, 2022}
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y1 := []float64{-100, 400, 1000, 1150, 1300, 1500, 1600, 1650, 1720, 1800, 1810, 1820, 1830, 1840, 1850, 1855, 1860, 1865, 1870, 1875, 1880, 1885, 1890, 1895, 1900, 1905, 1910, 1915, 1920, 1925, 1930, 1935, 1940, 1945, 1950, 1953, 1956, 1959, 1962, 1965, 1968, 1971, 1974, 1977, 1980, 1983, 1986, 1989, 1992, 1995, 1998, 2001, 2004, 2007, 2010, 2013, 2016, 2019, 2022, 2025}
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a0 := []float64{20371.848, 11557.668, 6535.116, 1650.393, 1056.647, 681.149, 292.343, 109.127, 43.952, 12.068, 18.367, 15.678, 16.516, 10.804, 7.634, 9.338, 10.357, 9.04, 8.255, 2.371, -1.126, -3.21, -4.388, -3.884, -5.017, -1.977, 4.923, 11.142, 17.479, 21.617, 23.789, 24.418, 24.164, 24.426, 27.05, 28.932, 30.002, 30.76, 32.652, 33.621, 35.093, 37.956, 40.951, 44.244, 47.291, 50.361, 52.936, 54.984, 56.373, 58.453, 60.678, 62.898, 64.083, 64.553, 65.197, 66.061, 66.919, 68.130, 69.250, 69.296}
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a1 := []float64{-9999.586, -5822.27, -5671.519, -753.21, -459.628, -421.345, -192.841, -78.697, -68.089, 2.507, -3.481, 0.021, -2.157, -6.018, -0.416, 1.642, -0.486, -0.591, -3.456, -5.593, -2.314, -1.893, 0.101, -0.531, 0.134, 5.715, 6.828, 6.33, 5.518, 3.02, 1.333, 0.052, -0.419, 1.645, 2.499, 1.127, 0.737, 1.409, 1.577, 0.868, 2.275, 3.035, 3.157, 3.199, 3.069, 2.878, 2.354, 1.577, 1.648, 2.235, 2.324, 1.804, 0.674, 0.466, 0.804, 0.839, 1.005, 1.348, 0.594, -0.227}
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a2 := []float64{776.247, 1303.151, -298.291, 184.811, 108.771, 61.953, -6.572, 10.505, 38.333, 41.731, -1.126, 4.629, -6.806, 2.944, 2.658, 0.261, -2.389, 2.284, -5.148, 3.011, 0.269, 0.152, 1.842, -2.474, 3.138, 2.443, -1.329, 0.831, -1.643, -0.856, -0.831, -0.449, -0.022, 2.086, -1.232, 0.22, -0.61, 1.282, -1.115, 0.406, 1.002, -0.242, 0.364, -0.323, 0.193, -0.384, -0.14, -0.637, 0.708, -0.121, 0.21, -0.729, -0.402, 0.194, 0.144, -0.109, 0.275, 0.068, -0.822, 0.001}
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a3 := []float64{409.16, -503.433, 1085.087, -25.346, -24.641, -29.414, 16.197, 3.018, -2.127, -37.939, 1.918, -3.812, 3.25, -0.096, -0.539, -0.883, 1.558, -2.477, 2.72, -0.914, -0.039, 0.563, -1.438, 1.871, -0.232, -1.257, 0.72, -0.825, 0.262, 0.008, 0.127, 0.142, 0.702, -1.106, 0.614, -0.277, 0.631, -0.799, 0.507, 0.199, -0.414, 0.202, -0.229, 0.172, -0.192, 0.081, -0.165, 0.448, -0.276, 0.11, -0.313, 0.109, 0.199, -0.017, -0.084, 0.128, -0.069, -0.297, 0.274, 0.086}
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n := len(y0)
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var i int
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for i = n - 1; i >= 0; i-- {
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if y >= y0[i] {
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break
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}
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}
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t := (y - y0[i]) / (y1[i] - y0[i])
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dT := a0[i] + t*(a1[i]+t*(a2[i]+t*a3[i]))
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return dT
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}
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func DeltaTv2(jd float64) float64 {
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if jd > 2461041.5 || jd < 2441317.5 {
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var y float64
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if jd >= 2299160.5 {
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y = (jd-2451544.5)/365.2425 + 2000
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} else {
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y = (jd+0.5)/365.25 - 4712
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}
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return DeltaTSplineY(y)
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}
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// 闰秒JD值
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jdLeaps := []float64{2457754.5, 2457204.5, 2456109.5, 2454832.5,
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2453736.5, 2451179.5, 2450630.5, 2450083.5,
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2449534.5, 2449169.5, 2448804.5, 2448257.5,
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2447892.5, 2447161.5, 2446247.5, 2445516.5,
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2445151.5, 2444786.5, 2444239.5, 2443874.5,
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2443509.5, 2443144.5, 2442778.5, 2442413.5,
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2442048.5, 2441683.5, 2441499.5, 2441133.5}
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n := len(jdLeaps)
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DT := 42.184
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for i := 0; i < n; i++ {
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if jd > jdLeaps[i] {
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DT += float64(n - i - 1)
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break
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}
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}
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return DT
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}
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func TD2UT(JDE float64, UT2TD bool) float64 { // true 世界时转力学时CC，false 力学时转世界时VV
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Deltat := DeltaT(JDE, true)
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@@ -243,93 +330,91 @@ func JDE2DateByZone(JD float64, tz *time.Location, byZone bool) time.Time {
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Add(time.Duration(int64(1000000000 * tms))).In(tz)
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}
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func GetLunar(year, month, day int, tz float64) (lmonth, lday int, leap bool, result string) {
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jde := JDECalc(year, month, float64(day)) //计算当前JDE时间
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if month == 11 || month == 12 { //判断当前日期属于前一年周期还是后一年周期
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//判断方法：当前日期与冬至日所在朔望月的关系
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winterday := GetJQTime(year, 270) + tz //冬至日日期（世界时，北京时间）
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Fday := TD2UT(CalcMoonS(float64(year)+11.0/12.0+5.0/30.0/12.0, 0), true) + tz //朔月（世界时，北京时间）
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Yday := TD2UT(CalcMoonS(float64(year)+1.0, 0), true) + tz //下一朔月（世界时，北京时间）
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if Fday-math.Floor(Fday) > 0.5 {
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Fday = math.Floor(Fday) + 0.5
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} else {
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Fday = math.Floor(Fday) - 0.5
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// Date2JDE 日期转儒略日
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func Date2JDE(date time.Time) float64 {
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day := float64(date.Day()) + float64(date.Hour())/24.0 + float64(date.Minute())/24.0/60.0 + float64(date.Second())/24.0/3600.0 + float64(date.Nanosecond())/1000000000.0/3600.0/24.0
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return JDECalc(date.Year(), int(date.Month()), day)
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}
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func GetLunar(year, month, day int, tz float64) (adjustedYear, lmonth, lday int, leap bool, result string) {
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julianDayEpoch := JDECalc(year, month, float64(day))
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// 确定农历年份
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adjustedYear = year
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if month == 11 || month == 12 {
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winterSolsticeDay := GetJQTime(year, 270) + tz
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firstNewMoonDay := TD2UT(CalcMoonS(float64(year)+11.0/12.0+5.0/30.0/12.0, 0), true) + tz
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nextNewMoonDay := TD2UT(CalcMoonS(float64(year)+1.0, 0), true) + tz
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firstNewMoonDay = normalizeTimePoint(firstNewMoonDay)
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nextNewMoonDay = normalizeTimePoint(nextNewMoonDay)
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if winterSolsticeDay >= firstNewMoonDay && winterSolsticeDay < nextNewMoonDay && julianDayEpoch <= firstNewMoonDay {
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adjustedYear--
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}
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if Yday-math.Floor(Yday) > 0.5 {
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Yday = math.Floor(Yday) + 0.5
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} else {
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Yday = math.Floor(Yday) - 0.5
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}
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if winterday >= Fday && winterday < Yday && jde <= Fday {
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year--
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}
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if winterday >= Yday && jde < Yday {
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year--
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if winterSolsticeDay >= nextNewMoonDay && julianDayEpoch < nextNewMoonDay {
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adjustedYear--
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}
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} else {
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year--
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adjustedYear--
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}
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jieqi := GetJieqiLoops(year, 25) //一年的节气
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moon := GetMoonLoops(float64(year), 17) //一年朔月日
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winter1 := jieqi[0] - 8.0/24 + tz //第一年冬至日
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winter2 := jieqi[24] - 8.0/24 + tz //第二年冬至日
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for idx, v := range moon {
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if tz != 8.0/24 {
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v = v - 8.0/24 + tz
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}
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if v-math.Floor(v) > 0.5 {
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moon[idx] = math.Floor(v) + 0.5
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} else {
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moon[idx] = math.Floor(v) - 0.5
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}
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} //置闰月为0点
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for idx, v := range jieqi {
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if tz != 8.0/24 {
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v = v - 8.0/24 + tz
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}
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if v-math.Floor(v) > 0.5 {
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jieqi[idx] = math.Floor(v) + 0.5
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} else {
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jieqi[idx] = math.Floor(v) - 0.5
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}
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} //置节气为0点
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mooncount := 0 //年内朔望月计数
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var min, max int = 20, 0 //最大最小计数
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// 获取节气和朔望月数据
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solarTerms := GetJieqiLoops(adjustedYear, 25)
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newMoonDays := GetMoonLoops(float64(adjustedYear), 17)
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// 计算冬至日期
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winterSolsticeFirst := solarTerms[0] - 8.0/24 + tz
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winterSolsticeSecond := solarTerms[24] - 8.0/24 + tz
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// 规范化时间点
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normalizeTimeArray(newMoonDays, tz)
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normalizeTimeArray(solarTerms, tz)
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// 计算朔望月范围
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minMoonIndex, maxMoonIndex := 20, 0
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moonCount := 0
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for i := 0; i < 15; i++ {
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if moon[i] >= winter1 && moon[i] < winter2 {
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if i <= min {
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min = i
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if newMoonDays[i] >= winterSolsticeFirst && newMoonDays[i] < winterSolsticeSecond {
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if i <= minMoonIndex {
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minMoonIndex = i
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}
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if i >= max {
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max = i
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if i >= maxMoonIndex {
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maxMoonIndex = i
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}
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mooncount++
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moonCount++
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}
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}
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leapmonth := 20
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if mooncount == 13 { //存在闰月
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var j, i = 2, 0
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for i = min; i <= max; i++ {
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if !(moon[i] <= jieqi[j] && moon[i+1] > jieqi[j]) {
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// 确定闰月位置
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leapMonthPos := 20
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if moonCount == 13 {
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solarTermIndex, i := 2, 0
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for i = minMoonIndex; i <= maxMoonIndex; i++ {
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if !(newMoonDays[i] <= solarTerms[solarTermIndex] && newMoonDays[i+1] > solarTerms[solarTermIndex]) {
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break
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}
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j += 2
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solarTermIndex += 2
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}
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leapmonth = i - min + 1
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leapMonthPos = i - minMoonIndex + 1
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}
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i := 0
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for i = min - 1; i <= max; i++ {
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if moon[i] > jde {
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// 找到当前月相索引
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currentMoonIndex := 0
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for currentMoonIndex = minMoonIndex - 1; currentMoonIndex <= maxMoonIndex; currentMoonIndex++ {
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if newMoonDays[currentMoonIndex] > julianDayEpoch {
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break
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}
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}
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lmonth = i - min
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var sleap bool = false
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// 计算农历月份
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lmonth = currentMoonIndex - minMoonIndex
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shouldAdjustLeap := false
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leap = false
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if lmonth >= leapmonth {
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sleap = true
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if lmonth >= leapMonthPos {
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shouldAdjustLeap = true
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}
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if lmonth == leapmonth {
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if lmonth == leapMonthPos {
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leap = true
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}
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if lmonth < 2 {
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@@ -337,102 +422,125 @@ func GetLunar(year, month, day int, tz float64) (lmonth, lday int, leap bool, re
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} else {
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lmonth--
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}
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if sleap {
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if shouldAdjustLeap {
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lmonth--
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}
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if lmonth <= 0 {
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lmonth += 12
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}
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lday = int(jde-moon[i-1]) + 1
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strmonth := []string{"十", "一", "二", "三", "四", "五", "六", "七", "八", "九", "十", "冬", "腊"}
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strday := []string{"初", "十", "廿", "三"}
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if leap {
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result += "闰"
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}
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if lmonth == 1 {
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result += "正月"
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} else {
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result += strmonth[lmonth] + "月"
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}
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if lday == 20 {
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result += "二十"
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} else if lday == 10 {
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result += "初十"
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} else {
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result += strday[lday/10] + strmonth[lday%10]
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}
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// 计算农历日期
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lday = int(julianDayEpoch-newMoonDays[currentMoonIndex-1]) + 1
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// 生成农历日期字符串
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result = formatLunarDateString(lmonth, lday, leap)
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return
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}
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func GetSolar(year, month, day int, leap bool, tz float64) float64 {
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adjustedYear := year
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if month < 11 {
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year--
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adjustedYear--
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}
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jieqi := GetJieqiLoops(year, 25) //一年的节气
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moon := GetMoonLoops(float64(year), 17) //一年朔月日
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winter1 := jieqi[0] - 8.0/24 + tz //第一年冬至日
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winter2 := jieqi[24] - 8.0/24 + tz //第二年冬至日
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for idx, v := range moon {
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if tz != 8.0/24 {
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v = v - 8.0/24 + tz
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}
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if v-math.Floor(v) > 0.5 {
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moon[idx] = math.Floor(v) + 0.5
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} else {
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moon[idx] = math.Floor(v) - 0.5
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}
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} //置闰月为0点
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||||
for idx, v := range jieqi {
|
||||
if tz != 8.0/24 {
|
||||
v = v - 8.0/24 + tz
|
||||
}
|
||||
if v-math.Floor(v) > 0.5 {
|
||||
jieqi[idx] = math.Floor(v) + 0.5
|
||||
} else {
|
||||
jieqi[idx] = math.Floor(v) - 0.5
|
||||
}
|
||||
} //置节气为0点
|
||||
mooncount := 0 //年内朔望月计数
|
||||
var min, max int = 20, 0 //最大最小计数
|
||||
|
||||
// 获取节气和朔望月数据
|
||||
solarTerms := GetJieqiLoops(adjustedYear, 25)
|
||||
newMoonDays := GetMoonLoops(float64(adjustedYear), 17)
|
||||
|
||||
// 计算冬至日期
|
||||
winterSolsticeFirst := solarTerms[0] - 8.0/24 + tz
|
||||
winterSolsticeSecond := solarTerms[24] - 8.0/24 + tz
|
||||
|
||||
// 规范化时间点
|
||||
normalizeTimeArray(newMoonDays, tz)
|
||||
normalizeTimeArray(solarTerms, tz)
|
||||
|
||||
// 计算朔望月范围
|
||||
minMoonIndex, maxMoonIndex := 20, 0
|
||||
moonCount := 0
|
||||
for i := 0; i < 15; i++ {
|
||||
if moon[i] >= winter1 && moon[i] < winter2 {
|
||||
if i <= min {
|
||||
min = i
|
||||
if newMoonDays[i] >= winterSolsticeFirst && newMoonDays[i] < winterSolsticeSecond {
|
||||
if i <= minMoonIndex {
|
||||
minMoonIndex = i
|
||||
}
|
||||
if i >= max {
|
||||
max = i
|
||||
if i >= maxMoonIndex {
|
||||
maxMoonIndex = i
|
||||
}
|
||||
mooncount++
|
||||
moonCount++
|
||||
}
|
||||
}
|
||||
leapmonth := 20
|
||||
if mooncount == 13 { //存在闰月
|
||||
var j, i = 2, 0
|
||||
for i = min; i <= max; i++ {
|
||||
if !(moon[i] <= jieqi[j] && moon[i+1] > jieqi[j]) {
|
||||
|
||||
// 确定闰月位置
|
||||
leapMonthPos := 20
|
||||
if moonCount == 13 {
|
||||
solarTermIndex, i := 2, 0
|
||||
for i = minMoonIndex; i <= maxMoonIndex; i++ {
|
||||
if !(newMoonDays[i] <= solarTerms[solarTermIndex] && newMoonDays[i+1] > solarTerms[solarTermIndex]) {
|
||||
break
|
||||
}
|
||||
j += 2
|
||||
solarTermIndex += 2
|
||||
}
|
||||
leapmonth = i - min + 1
|
||||
leapMonthPos = i - minMoonIndex + 1
|
||||
}
|
||||
|
||||
// 计算实际月份索引
|
||||
actualMonth := month
|
||||
if leap {
|
||||
month++
|
||||
actualMonth++
|
||||
}
|
||||
if month > 10 {
|
||||
month -= 11
|
||||
if actualMonth > 10 {
|
||||
actualMonth -= 11
|
||||
} else {
|
||||
month++
|
||||
actualMonth++
|
||||
}
|
||||
if month >= leapmonth && !leap {
|
||||
month++
|
||||
if actualMonth >= leapMonthPos && !leap {
|
||||
actualMonth++
|
||||
}
|
||||
jde := moon[min-1+month] + float64(day) - 1
|
||||
return jde
|
||||
|
||||
return newMoonDays[minMoonIndex-1+actualMonth] + float64(day) - 1
|
||||
}
|
||||
|
||||
// Date2JDE 日期转儒略日
|
||||
func Date2JDE(date time.Time) float64 {
|
||||
day := float64(date.Day()) + float64(date.Hour())/24.0 + float64(date.Minute())/24.0/60.0 + float64(date.Second())/24.0/3600.0 + float64(date.Nanosecond())/1000000000.0/3600.0/24.0
|
||||
return JDECalc(date.Year(), int(date.Month()), day)
|
||||
func normalizeTimeArray(timeArray []float64, tz float64) {
|
||||
for idx, timeValue := range timeArray {
|
||||
adjustedTime := timeValue
|
||||
if tz != 8.0/24 {
|
||||
adjustedTime = timeValue - 8.0/24 + tz
|
||||
}
|
||||
timeArray[idx] = normalizeTimePoint(adjustedTime)
|
||||
}
|
||||
}
|
||||
|
||||
func normalizeTimePoint(timePoint float64) float64 {
|
||||
if timePoint-math.Floor(timePoint) > 0.5 {
|
||||
return math.Floor(timePoint) + 0.5
|
||||
}
|
||||
return math.Floor(timePoint) - 0.5
|
||||
}
|
||||
|
||||
func formatLunarDateString(lunarMonth, lunarDay int, isLeap bool) string {
|
||||
monthNames := []string{"十", "一", "二", "三", "四", "五", "六", "七", "八", "九", "十", "冬", "腊"}
|
||||
dayPrefixes := []string{"初", "十", "廿", "三"}
|
||||
|
||||
var dateString string
|
||||
|
||||
if isLeap {
|
||||
dateString += "闰"
|
||||
}
|
||||
|
||||
if lunarMonth == 1 {
|
||||
dateString += "正月"
|
||||
} else {
|
||||
dateString += monthNames[lunarMonth] + "月"
|
||||
}
|
||||
|
||||
if lunarDay == 20 {
|
||||
dateString += "二十"
|
||||
} else if lunarDay == 10 {
|
||||
dateString += "初十"
|
||||
} else {
|
||||
dateString += dayPrefixes[lunarDay/10] + monthNames[lunarDay%10]
|
||||
}
|
||||
|
||||
return dateString
|
||||
}
|
||||
|
||||
@@ -132,3 +132,88 @@ func magicNumberSpilt(magic int32) (uint16, uint8) {
|
||||
upper = uint16(magic >> 8)
|
||||
return upper, lower
|
||||
}
|
||||
|
||||
func TestGetJQTime(t *testing.T) {
|
||||
originalFunc := func(Year, Angle int) float64 { //节气时间
|
||||
var j int = 1
|
||||
var Day int
|
||||
var tp float64
|
||||
if Angle%2 == 0 {
|
||||
Day = 18
|
||||
} else {
|
||||
Day = 3
|
||||
}
|
||||
if Angle%10 != 0 {
|
||||
tp = float64(Angle+15.0) / 30.0
|
||||
} else {
|
||||
tp = float64(Angle) / 30.0
|
||||
}
|
||||
Month := 3 + tp
|
||||
if Month > 12 {
|
||||
Month -= 12
|
||||
}
|
||||
JD1 := JDECalc(int(Year), int(Month), float64(Day))
|
||||
if Angle == 0 {
|
||||
Angle = 360
|
||||
}
|
||||
for i := 0; i < j; i++ {
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := JQLospec(JD0, float64(Angle)) - float64(Angle)
|
||||
stDegreep := (JQLospec(JD0+0.000005, float64(Angle)) - JQLospec(JD0-0.000005, float64(Angle))) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00001 {
|
||||
break
|
||||
}
|
||||
}
|
||||
JD1 -= 0.001
|
||||
}
|
||||
JD1 += 0.001
|
||||
return TD2UT(JD1, false)
|
||||
}
|
||||
|
||||
// 测试数据：年份从1900-2200抽样，角度覆盖关键值
|
||||
testCases := []struct {
|
||||
year, angle int
|
||||
}{
|
||||
// 边界年份
|
||||
{1900, 0}, {1900, 15}, {1900, 30}, {1900, 45}, {1900, 90},
|
||||
{1900, 180}, {1900, 270}, {1900, 360},
|
||||
|
||||
// 中间年份抽样
|
||||
{1950, 0}, {1950, 30}, {1950, 90}, {1950, 180}, {1950, 270},
|
||||
{2000, 0}, {2000, 15}, {2000, 45}, {2000, 90}, {2000, 360},
|
||||
{2023, 0}, {2023, 30}, {2023, 90}, {2023, 180}, {2023, 270},
|
||||
|
||||
// 未来年份抽样
|
||||
{2100, 0}, {2100, 15}, {2100, 30}, {2100, 45}, {2100, 90},
|
||||
{2100, 180}, {2100, 270}, {2100, 360},
|
||||
{2200, 0}, {2200, 30}, {2200, 90}, {2200, 180}, {2200, 270},
|
||||
}
|
||||
|
||||
// 执行测试
|
||||
allPassed := true
|
||||
for _, tc := range testCases {
|
||||
originalResult := originalFunc(tc.year, tc.angle)
|
||||
optimizedResult := GetJQTime(tc.year, tc.angle)
|
||||
|
||||
diff := math.Abs(originalResult - optimizedResult)
|
||||
|
||||
if diff > 1e-10 {
|
||||
t.Errorf("测试失败: year=%d, angle=%d\n原始结果: %.15f\n优化结果: %.15f\n差异: %.15f",
|
||||
tc.year, tc.angle, originalResult, optimizedResult, diff)
|
||||
allPassed = false
|
||||
} else {
|
||||
t.Logf("测试通过: year=%d, angle=%d, 结果: %.15f",
|
||||
tc.year, tc.angle, optimizedResult)
|
||||
}
|
||||
}
|
||||
|
||||
if allPassed {
|
||||
t.Log("所有测试用例通过！优化函数与原始函数结果完全一致")
|
||||
}
|
||||
}
|
||||
|
||||
func TestJQ(t *testing.T) {
|
||||
fmt.Println(GetJQTime(-721, 15))
|
||||
}
|
||||
|
||||
+157
-117
@@ -1430,162 +1430,202 @@ func MoonTimeAngle(JD, Lon, Lat, TZ float64) float64 {
|
||||
return timeangle
|
||||
}
|
||||
|
||||
func GetMoonRiseTime(JD, Lon, Lat, TZ, ZS, HEI float64) float64 {
|
||||
ntz := TZ
|
||||
TZ = Lon / 15
|
||||
var An, tms float64 = 0, 0
|
||||
JDZ := math.Floor(JD) + 0.5
|
||||
JD = math.Floor(JD) + 0.5 - ntz/24 + TZ/24.0 //求0时JDE
|
||||
JD1 := JD
|
||||
moonheight := MoonHeight(JD, Lon, Lat, TZ) //求此时月亮高度
|
||||
if ZS != 0 {
|
||||
An = -0.83333 //修正大气折射
|
||||
}
|
||||
An = An - HeightDegreeByLat(HEI, Lat)
|
||||
moonang := MoonTimeAngle(JD, Lon, Lat, TZ)
|
||||
if moonheight > 0 { //月亮在地平线上或在落下与下中天之间
|
||||
if moonang > 180 {
|
||||
tms = (180 + 360 - moonang) / 15
|
||||
} else {
|
||||
tms = (180 - moonang) / 15
|
||||
}
|
||||
JD1 += (tms/24 + (tms/24*12.0)/15.0/24.0)
|
||||
func GetMoonRiseTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64) float64 {
|
||||
originalTimeZone := timeZone
|
||||
timeZone = longitude / 15
|
||||
var moonAngle, timeToMeridian float64 = 0, 0
|
||||
julianDayZero := math.Floor(julianDay) + 0.5
|
||||
julianDay = math.Floor(julianDay) + 0.5 - originalTimeZone/24 + timeZone/24 // 求0时JDE
|
||||
|
||||
estimatedTime := julianDay
|
||||
moonHeight := MoonHeight(julianDay, longitude, latitude, timeZone) // 求此时月亮高度
|
||||
|
||||
if zenithShift != 0 {
|
||||
moonAngle = -0.83333 // 修正大气折射
|
||||
}
|
||||
if moonheight < 0 && moonang > 180 {
|
||||
tms = (180 - moonang) / 15
|
||||
JD1 += (tms/24 + (tms/24*12.0)/15.0/24.0)
|
||||
} else if moonheight < 0 && moonang < 180 {
|
||||
tms = (180 - moonang) / 15
|
||||
JD1 += (tms/24 + (tms/24*12.0)/15.0/24.0)
|
||||
}
|
||||
now := MoonTimeAngle(JD1, Lon, Lat, TZ)
|
||||
if math.Abs(now-180) > 0.5 {
|
||||
JD1 += (180 - now) * 4.0 / 60.0 / 24.0
|
||||
}
|
||||
hei := HMoonHeight(JD1, Lon, Lat, TZ)
|
||||
if !(hei < -10 && math.Abs(Lat) < 60) {
|
||||
if hei > An {
|
||||
return -1 //拱
|
||||
moonAngle = moonAngle - HeightDegreeByLat(height, latitude)
|
||||
|
||||
moonAngleTime := MoonTimeAngle(julianDay, longitude, latitude, timeZone)
|
||||
|
||||
if moonHeight > 0 { // 月亮在地平线上或在落下与下中天之间
|
||||
if moonAngleTime > 180 {
|
||||
timeToMeridian = (180 + 360 - moonAngleTime) / 15
|
||||
} else {
|
||||
timeToMeridian = (180 - moonAngleTime) / 15
|
||||
}
|
||||
reJde := JD1 + 12.0/24.0 + 6.0/15.0/24.0
|
||||
mag := MoonTimeAngle(reJde, Lon, Lat, TZ)
|
||||
if mag < 90 {
|
||||
mag += 360
|
||||
estimatedTime += (timeToMeridian/24 + (timeToMeridian/24*12.0)/15.0/24.0)
|
||||
}
|
||||
|
||||
if moonHeight < 0 && moonAngleTime > 180 {
|
||||
timeToMeridian = (180 - moonAngleTime) / 15
|
||||
estimatedTime += (timeToMeridian/24 + (timeToMeridian/24*12.0)/15.0/24.0)
|
||||
} else if moonHeight < 0 && moonAngleTime < 180 {
|
||||
timeToMeridian = (180 - moonAngleTime) / 15
|
||||
estimatedTime += (timeToMeridian/24 + (timeToMeridian/24*12.0)/15.0/24.0)
|
||||
}
|
||||
|
||||
currentAngle := MoonTimeAngle(estimatedTime, longitude, latitude, timeZone)
|
||||
if math.Abs(currentAngle-180) > 0.5 {
|
||||
estimatedTime += (180 - currentAngle) * 4.0 / 60.0 / 24.0
|
||||
}
|
||||
|
||||
currentHeight := HMoonHeight(estimatedTime, longitude, latitude, timeZone)
|
||||
if !(currentHeight < -10 && math.Abs(latitude) < 60) {
|
||||
if currentHeight > moonAngle {
|
||||
return -1 // 拱
|
||||
}
|
||||
reJde += (360 - mag) * 4.0 / 60.0 / 24.0
|
||||
if HMoonHeight(reJde, Lon, Lat, TZ) < An {
|
||||
return -2 //沉
|
||||
checkTime := estimatedTime + 12.0/24.0 + 6.0/15.0/24.0
|
||||
checkAngle := MoonTimeAngle(checkTime, longitude, latitude, timeZone)
|
||||
if checkAngle < 90 {
|
||||
checkAngle += 360
|
||||
}
|
||||
checkTime += (360 - checkAngle) * 4.0 / 60.0 / 24.0
|
||||
if HMoonHeight(checkTime, longitude, latitude, timeZone) < moonAngle {
|
||||
return -2 // 沉
|
||||
}
|
||||
}
|
||||
dec := MoonApparentDec(JD1, Lon, Lat, TZ)
|
||||
tmp := (Sin(An) - Sin(dec)*Sin(Lat)) / (Cos(dec) * Cos(Lat))
|
||||
if math.Abs(tmp) <= 1 && Lat < 85 {
|
||||
SJ := (180 - ArcCos(tmp)) / 15
|
||||
JD1 += SJ/24.00 + SJ/33.00/15.00
|
||||
|
||||
moonDeclination := MoonApparentDec(estimatedTime, longitude, latitude, timeZone)
|
||||
tmp := (Sin(moonAngle) - Sin(moonDeclination)*Sin(latitude)) / (Cos(moonDeclination) * Cos(latitude))
|
||||
|
||||
if math.Abs(tmp) <= 1 && latitude < 85 {
|
||||
hourAngle := (180 - ArcCos(tmp)) / 15
|
||||
estimatedTime += hourAngle/24.00 + hourAngle/33.00/15.00
|
||||
} else {
|
||||
i := 0
|
||||
for MoonHeight(JD1, Lon, Lat, TZ) < An {
|
||||
for MoonHeight(estimatedTime, longitude, latitude, timeZone) < moonAngle {
|
||||
i++
|
||||
JD1 += 15.0 / 60.0 / 24.0
|
||||
estimatedTime += 15.0 / 60.0 / 24.0
|
||||
if i > 48 {
|
||||
break
|
||||
}
|
||||
}
|
||||
}
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := HMoonHeight(JD0, Lon, Lat, TZ) - An
|
||||
stDegreep := (HMoonHeight(JD0+0.000005, Lon, Lat, TZ) - HMoonHeight(JD0-0.000005, Lon, Lat, TZ)) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00002 {
|
||||
break
|
||||
}
|
||||
}
|
||||
JD1 = JD1 - TZ/24 + ntz/24
|
||||
|
||||
if JD1 > JDZ+1 || JD1 < JDZ {
|
||||
return -3 //明日
|
||||
// 使用牛顿迭代法求精确解
|
||||
estimatedTime = moonRiseSetNewtonRaphsonIteration(estimatedTime, longitude, latitude, timeZone, moonAngle, HMoonHeight, 0.00002)
|
||||
|
||||
estimatedTime = estimatedTime - timeZone/24 + originalTimeZone/24
|
||||
|
||||
if estimatedTime > julianDayZero+1 || estimatedTime < julianDayZero {
|
||||
return -3 // 明日
|
||||
} else {
|
||||
return JD1
|
||||
return estimatedTime
|
||||
}
|
||||
}
|
||||
|
||||
func GetMoonDownTime(JD, Lon, Lat, TZ, ZS, HEI float64) float64 {
|
||||
ntz := TZ
|
||||
TZ = Lon / 15
|
||||
var An, tms float64 = 0, 0
|
||||
JDZ := math.Floor(JD) + 0.5
|
||||
JD = math.Floor(JD) + 0.5 - ntz/24 + TZ/24 //求0时JDE
|
||||
JD1 := JD
|
||||
moonheight := MoonHeight(JD, Lon, Lat, TZ) //求此时月亮高度
|
||||
if ZS != 0 {
|
||||
An = -0.83333 //修正大气折射
|
||||
func GetMoonSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64) float64 {
|
||||
originalTimeZone := timeZone
|
||||
timeZone = longitude / 15
|
||||
var moonAngle, timeToMeridian float64 = 0, 0
|
||||
julianDayZero := math.Floor(julianDay) + 0.5
|
||||
julianDay = math.Floor(julianDay) + 0.5 - originalTimeZone/24 + timeZone/24 // 求0时JDE
|
||||
|
||||
estimatedTime := julianDay
|
||||
moonHeight := MoonHeight(julianDay, longitude, latitude, timeZone) // 求此时月亮高度
|
||||
|
||||
if zenithShift != 0 {
|
||||
moonAngle = -0.83333 // 修正大气折射
|
||||
}
|
||||
An = An - HeightDegreeByLat(HEI, Lat)
|
||||
moonang := MoonTimeAngle(JD, Lon, Lat, TZ)
|
||||
if moonheight < 0 {
|
||||
tms = (360 - moonang) / 15
|
||||
JD1 += (tms/24 + (tms/24.0*12.0)/15.0/24.0)
|
||||
moonAngle = moonAngle - HeightDegreeByLat(height, latitude)
|
||||
|
||||
moonAngleTime := MoonTimeAngle(julianDay, longitude, latitude, timeZone)
|
||||
|
||||
if moonHeight < 0 {
|
||||
timeToMeridian = (360 - moonAngleTime) / 15
|
||||
estimatedTime += (timeToMeridian/24 + (timeToMeridian/24.0*12.0)/15.0/24.0)
|
||||
}
|
||||
//月亮在地平线上或在落下与下中天之间
|
||||
if moonheight > 0 && moonang < 180 {
|
||||
tms = (-moonang) / 15
|
||||
JD1 += (tms/24.0 + (tms/24.0*12.0)/15.0/24.0)
|
||||
} else if moonheight > 0 {
|
||||
tms = (360 - moonang) / 15
|
||||
JD1 += (tms/24.0 + (tms/24.0*12.0)/15.0/24.0)
|
||||
|
||||
// 月亮在地平线上或在落下与下中天之间
|
||||
if moonHeight > 0 && moonAngleTime < 180 {
|
||||
timeToMeridian = (-moonAngleTime) / 15
|
||||
estimatedTime += (timeToMeridian/24.0 + (timeToMeridian/24.0*12.0)/15.0/24.0)
|
||||
} else if moonHeight > 0 {
|
||||
timeToMeridian = (360 - moonAngleTime) / 15
|
||||
estimatedTime += (timeToMeridian/24.0 + (timeToMeridian/24.0*12.0)/15.0/24.0)
|
||||
}
|
||||
now := MoonTimeAngle(JD1, Lon, Lat, TZ)
|
||||
if now < 180 {
|
||||
now += 360
|
||||
|
||||
currentAngle := MoonTimeAngle(estimatedTime, longitude, latitude, timeZone)
|
||||
if currentAngle < 180 {
|
||||
currentAngle += 360
|
||||
}
|
||||
if math.Abs(now-360) > 0.5 {
|
||||
JD1 += (360 - now) * 4.0 / 60.0 / 24.0
|
||||
if math.Abs(currentAngle-360) > 0.5 {
|
||||
estimatedTime += (360 - currentAngle) * 4.0 / 60.0 / 24.0
|
||||
}
|
||||
//JD1=月球中天时间
|
||||
hei := HMoonHeight(JD1, Lon, Lat, TZ)
|
||||
if !(hei > 10 && math.Abs(Lat) < 60) {
|
||||
if hei < An {
|
||||
return -2 //沉
|
||||
|
||||
// estimatedTime = 月球中天时间
|
||||
currentHeight := HMoonHeight(estimatedTime, longitude, latitude, timeZone)
|
||||
if !(currentHeight > 10 && math.Abs(latitude) < 60) {
|
||||
if currentHeight < moonAngle {
|
||||
return -2 // 沉
|
||||
}
|
||||
reJde := JD1 + 12.0/24.0 + 6.0/15.0/24.0
|
||||
sub := 180 - MoonTimeAngle(reJde, Lon, Lat, TZ)
|
||||
reJde += sub * 4.0 / 60.0 / 24.0
|
||||
if HMoonHeight(reJde, Lon, Lat, TZ) > An {
|
||||
return -1 //拱
|
||||
checkTime := estimatedTime + 12.0/24.0 + 6.0/15.0/24.0
|
||||
angleSubtraction := 180 - MoonTimeAngle(checkTime, longitude, latitude, timeZone)
|
||||
checkTime += angleSubtraction * 4.0 / 60.0 / 24.0
|
||||
if HMoonHeight(checkTime, longitude, latitude, timeZone) > moonAngle {
|
||||
return -1 // 拱
|
||||
}
|
||||
}
|
||||
dec := MoonApparentDec(JD1, Lon, Lat, TZ)
|
||||
tmp := (Sin(An) - Sin(dec)*Sin(Lat)) / (Cos(dec) * Cos(Lat))
|
||||
if math.Abs(tmp) <= 1 && Lat < 85 {
|
||||
SJ := (ArcCos(tmp)) / 15.0
|
||||
JD1 += SJ/24 + SJ/33.0/15.0
|
||||
|
||||
moonDeclination := MoonApparentDec(estimatedTime, longitude, latitude, timeZone)
|
||||
tmp := (Sin(moonAngle) - Sin(moonDeclination)*Sin(latitude)) / (Cos(moonDeclination) * Cos(latitude))
|
||||
|
||||
if math.Abs(tmp) <= 1 && latitude < 85 {
|
||||
hourAngle := (ArcCos(tmp)) / 15.0
|
||||
estimatedTime += hourAngle/24 + hourAngle/33.0/15.0
|
||||
} else {
|
||||
i := 0
|
||||
for MoonHeight(JD1, Lon, Lat, TZ) > An {
|
||||
for MoonHeight(estimatedTime, longitude, latitude, timeZone) > moonAngle {
|
||||
i++
|
||||
JD1 += 15.0 / 60.0 / 24.0
|
||||
estimatedTime += 15.0 / 60.0 / 24.0
|
||||
if i > 48 {
|
||||
break
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 使用牛顿迭代法求精确解
|
||||
estimatedTime = moonRiseSetNewtonRaphsonIteration(estimatedTime, longitude, latitude, timeZone, moonAngle, HMoonHeight, 0.00002)
|
||||
|
||||
estimatedTime = estimatedTime - timeZone/24 + originalTimeZone/24
|
||||
|
||||
if estimatedTime > julianDayZero+1 || estimatedTime < julianDayZero {
|
||||
return -3 // 明日
|
||||
} else {
|
||||
return estimatedTime
|
||||
}
|
||||
}
|
||||
|
||||
// heightFunction 高度函数类型定义，用于牛顿迭代法
|
||||
type heightFunction func(time, longitude, latitude, timeZone float64) float64
|
||||
|
||||
// moonRiseSetNewtonRaphsonIteration 牛顿-拉夫逊迭代法求解天体高度方程
|
||||
func moonRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, timeZone, targetAngle float64,
|
||||
heightFunc heightFunction, tolerance float64) float64 {
|
||||
const derivativeStep = 0.000005
|
||||
|
||||
currentTime := initialTime
|
||||
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := HMoonHeight(JD0, Lon, Lat, TZ) - An
|
||||
stDegreep := (HMoonHeight(JD0+0.000005, Lon, Lat, TZ) - HMoonHeight(JD0-0.000005, Lon, Lat, TZ)) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00002 {
|
||||
previousTime := currentTime
|
||||
|
||||
// 计算函数值：f(t) = height(t) - targetAngle
|
||||
functionValue := heightFunc(previousTime, longitude, latitude, timeZone) - targetAngle
|
||||
|
||||
// 计算导数：f'(t) ≈ (f(t+h) - f(t-h)) / (2h)
|
||||
derivative := (heightFunc(previousTime+derivativeStep, longitude, latitude, timeZone) -
|
||||
heightFunc(previousTime-derivativeStep, longitude, latitude, timeZone)) / (2 * derivativeStep)
|
||||
|
||||
// 牛顿-拉夫逊公式：t_new = t_old - f(t) / f'(t)
|
||||
currentTime = previousTime - functionValue/derivative
|
||||
|
||||
// 检查收敛
|
||||
if math.Abs(currentTime-previousTime) <= tolerance {
|
||||
break
|
||||
}
|
||||
}
|
||||
JD1 = JD1 - TZ/24 + ntz/24
|
||||
if JD1 > JDZ+1 || JD1 < JDZ {
|
||||
return -3 //明日
|
||||
} else {
|
||||
return JD1
|
||||
}
|
||||
|
||||
return currentTime
|
||||
}
|
||||
|
||||
func GetMoonCir() [][][]float64 {
|
||||
|
||||
+737
-2
@@ -19,7 +19,7 @@ func Benchmark_MoonRiseBench(b *testing.B) {
|
||||
func Test_MoonDown(t *testing.T) {
|
||||
jde := GetNowJDE()
|
||||
for i := 30.0; i < 90.0; i += 0.3 {
|
||||
fmt.Println(i, GetMoonDownTime(jde, 115, float64(i), 8, 1, 0))
|
||||
fmt.Println(i, GetMoonSetTime(jde, 115, float64(i), 8, 1, 0))
|
||||
}
|
||||
}
|
||||
func Test_MoonDiff(t *testing.T) {
|
||||
@@ -100,5 +100,740 @@ func TestMoonCu(t *testing.T) {
|
||||
//ra, dec := HMoonApparentRaDec(jde, 115, 23, 8)
|
||||
//fmt.Println(tools.Format(ra/15, 1), tools.Format(dec, 0))
|
||||
//fmt.Println(JDE2Date(GetMoonTZTime(jde, 115, 23, 8)))
|
||||
//fmt.Println(JDE2Date(GetMoonDownTime(jde+1, 115, 23, 8, 1, 0)))
|
||||
//fmt.Println(JDE2Date(GetMoonSetTime(jde+1, 115, 23, 8, 1, 0)))
|
||||
}
|
||||
|
||||
// MoonRiseSetTestCase 月出月落测试用例
|
||||
type MoonRiseSetTestCase struct {
|
||||
Year int
|
||||
Month int
|
||||
Day float64
|
||||
Longitude float64
|
||||
Latitude float64
|
||||
TimeZone float64
|
||||
ZenithShift float64
|
||||
Height float64
|
||||
ExpectedRise float64
|
||||
ExpectedSet float64
|
||||
}
|
||||
|
||||
// moonRiseSetTestData 月出月落测试数据
|
||||
var moonRiseSetTestData = []MoonRiseSetTestCase{
|
||||
{2023, 1, 15.0, 116.4074, 39.9042, 8.0, 0, 0, 2459959.512382, 2459959.985558},
|
||||
{2023, 1, 15.0, 116.4074, 39.9042, 8.0, 0, 100, 2459959.511766, 2459959.986159},
|
||||
{2023, 1, 15.0, 116.4074, 39.9042, 8.0, 0, 1000, 2459959.510432, 2459959.987458},
|
||||
{2023, 1, 15.0, 116.4074, 39.9042, 8.0, 1, 0, 2459959.509182, 2459959.988676},
|
||||
{2023, 1, 15.0, 116.4074, 39.9042, 8.0, 1, 100, 2459959.508566, 2459959.989275},
|
||||
{2023, 1, 15.0, 116.4074, 39.9042, 8.0, 1, 1000, 2459959.507235, 2459959.990571},
|
||||
{2023, 3, 20.0, 116.4074, 39.9042, 8.0, 0, 0, 2460023.743390, 2460024.191155},
|
||||
{2023, 3, 20.0, 116.4074, 39.9042, 8.0, 0, 100, 2460023.742758, 2460024.191788},
|
||||
{2023, 3, 20.0, 116.4074, 39.9042, 8.0, 0, 1000, 2460023.741392, 2460024.193155},
|
||||
{2023, 3, 20.0, 116.4074, 39.9042, 8.0, 1, 0, 2460023.740112, 2460024.194436},
|
||||
{2023, 3, 20.0, 116.4074, 39.9042, 8.0, 1, 100, 2460023.739482, 2460024.195066},
|
||||
{2023, 3, 20.0, 116.4074, 39.9042, 8.0, 1, 1000, 2460023.738121, 2460024.196429},
|
||||
{2023, 6, 21.0, 116.4074, 39.9042, 8.0, 0, 0, 2460116.797325, 2460117.432318},
|
||||
{2023, 6, 21.0, 116.4074, 39.9042, 8.0, 0, 100, 2460116.796603, 2460117.433002},
|
||||
{2023, 6, 21.0, 116.4074, 39.9042, 8.0, 0, 1000, 2460116.795036, 2460117.434483},
|
||||
{2023, 6, 21.0, 116.4074, 39.9042, 8.0, 1, 0, 2460116.793560, 2460117.435878},
|
||||
{2023, 6, 21.0, 116.4074, 39.9042, 8.0, 1, 100, 2460116.792831, 2460117.436567},
|
||||
{2023, 6, 21.0, 116.4074, 39.9042, 8.0, 1, 1000, 2460116.791249, 2460117.438061},
|
||||
{2023, 9, 23.0, 116.4074, 39.9042, 8.0, 0, 0, 2460211.101507, 2460211.459840},
|
||||
{2023, 9, 23.0, 116.4074, 39.9042, 8.0, 0, 100, 2460211.100724, 2460211.460617},
|
||||
{2023, 9, 23.0, 116.4074, 39.9042, 8.0, 0, 1000, 2460211.099038, 2460211.462289},
|
||||
{2023, 9, 23.0, 116.4074, 39.9042, 8.0, 1, 0, 2460211.097463, 2460211.463851},
|
||||
{2023, 9, 23.0, 116.4074, 39.9042, 8.0, 1, 100, 2460211.096690, 2460211.464618},
|
||||
{2023, 9, 23.0, 116.4074, 39.9042, 8.0, 1, 1000, 2460211.095023, 2460211.466271},
|
||||
{2023, 12, 22.0, 116.4074, 39.9042, 8.0, 0, 0, 2460301.062528, 2460300.594160},
|
||||
{2023, 12, 22.0, 116.4074, 39.9042, 8.0, 0, 100, 2460301.061909, 2460300.594781},
|
||||
{2023, 12, 22.0, 116.4074, 39.9042, 8.0, 0, 1000, 2460301.060570, 2460300.596125},
|
||||
{2023, 12, 22.0, 116.4074, 39.9042, 8.0, 1, 0, 2460301.059311, 2460300.597387},
|
||||
{2023, 12, 22.0, 116.4074, 39.9042, 8.0, 1, 100, 2460301.058690, 2460300.598010},
|
||||
{2023, 12, 22.0, 116.4074, 39.9042, 8.0, 1, 1000, 2460301.057346, 2460300.599358},
|
||||
{2024, 2, 29.0, 116.4074, 39.9042, 8.0, 0, 0, 2460370.449673, 2460369.861269},
|
||||
{2024, 2, 29.0, 116.4074, 39.9042, 8.0, 0, 100, 2460370.449022, 2460369.861882},
|
||||
{2024, 2, 29.0, 116.4074, 39.9042, 8.0, 0, 1000, 2460370.447616, 2460369.863206},
|
||||
{2024, 2, 29.0, 116.4074, 39.9042, 8.0, 1, 0, 2460370.446299, 2460369.864446},
|
||||
{2024, 2, 29.0, 116.4074, 39.9042, 8.0, 1, 100, 2460370.445651, 2460369.865057},
|
||||
{2024, 2, 29.0, 116.4074, 39.9042, 8.0, 1, 1000, 2460370.444251, 2460369.866377},
|
||||
{2025, 7, 4.0, 116.4074, 39.9042, 8.0, 0, 0, 2460861.080905, 2460860.500448},
|
||||
{2025, 7, 4.0, 116.4074, 39.9042, 8.0, 0, 100, 2460861.080262, 2460860.501055},
|
||||
{2025, 7, 4.0, 116.4074, 39.9042, 8.0, 0, 1000, 2460861.078875, 2460860.502366},
|
||||
{2025, 7, 4.0, 116.4074, 39.9042, 8.0, 1, 0, 2460861.077574, 2460860.503595},
|
||||
{2025, 7, 4.0, 116.4074, 39.9042, 8.0, 1, 100, 2460861.076935, 2460860.504200},
|
||||
{2025, 7, 4.0, 116.4074, 39.9042, 8.0, 1, 1000, 2460861.075553, 2460860.505508},
|
||||
{2023, 1, 15.0, -0.1276, 51.5074, 0.0, 0, 0, 2459959.528073, 2459959.967571},
|
||||
{2023, 1, 15.0, -0.1276, 51.5074, 0.0, 0, 100, 2459959.527292, 2459959.968329},
|
||||
{2023, 1, 15.0, -0.1276, 51.5074, 0.0, 0, 1000, 2459959.525607, 2459959.969964},
|
||||
{2023, 1, 15.0, -0.1276, 51.5074, 0.0, 1, 0, 2459959.524029, 2459959.971495},
|
||||
{2023, 1, 15.0, -0.1276, 51.5074, 0.0, 1, 100, 2459959.523252, 2459959.972249},
|
||||
{2023, 1, 15.0, -0.1276, 51.5074, 0.0, 1, 1000, 2459959.521574, 2459959.973876},
|
||||
{2023, 3, 20.0, -0.1276, 51.5074, 0.0, 0, 0, 2460023.756367, 2460024.186083},
|
||||
{2023, 3, 20.0, -0.1276, 51.5074, 0.0, 0, 100, 2460023.755588, 2460024.186873},
|
||||
{2023, 3, 20.0, -0.1276, 51.5074, 0.0, 0, 1000, 2460023.753909, 2460024.188577},
|
||||
{2023, 3, 20.0, -0.1276, 51.5074, 0.0, 1, 0, 2460023.752338, 2460024.190171},
|
||||
{2023, 3, 20.0, -0.1276, 51.5074, 0.0, 1, 100, 2460023.751564, 2460024.190956},
|
||||
{2023, 3, 20.0, -0.1276, 51.5074, 0.0, 1, 1000, 2460023.749895, 2460024.192651},
|
||||
{2023, 6, 21.0, -0.1276, 51.5074, 0.0, 0, 0, 2460116.767473, 2460117.458902},
|
||||
{2023, 6, 21.0, -0.1276, 51.5074, 0.0, 0, 100, 2460116.766492, 2460117.459792},
|
||||
{2023, 6, 21.0, -0.1276, 51.5074, 0.0, 0, 1000, 2460116.764358, 2460117.461726},
|
||||
{2023, 6, 21.0, -0.1276, 51.5074, 0.0, 1, 0, 2460116.762340, 2460117.463551},
|
||||
{2023, 6, 21.0, -0.1276, 51.5074, 0.0, 1, 100, 2460116.761338, 2460117.464456},
|
||||
{2023, 6, 21.0, -0.1276, 51.5074, 0.0, 1, 1000, 2460116.759156, 2460117.466421},
|
||||
{2023, 9, 23.0, -0.1276, 51.5074, 0.0, 0, 0, 2460211.152489, 2460211.418569},
|
||||
{2023, 9, 23.0, -0.1276, 51.5074, 0.0, 0, 100, 2460211.151311, 2460211.419741},
|
||||
{2023, 9, 23.0, -0.1276, 51.5074, 0.0, 0, 1000, 2460211.148791, 2460211.422249},
|
||||
{2023, 9, 23.0, -0.1276, 51.5074, 0.0, 1, 0, 2460211.146459, 2460211.424570},
|
||||
{2023, 9, 23.0, -0.1276, 51.5074, 0.0, 1, 100, 2460211.145319, 2460211.425704},
|
||||
{2023, 9, 23.0, -0.1276, 51.5074, 0.0, 1, 1000, 2460211.142878, 2460211.428132},
|
||||
{2023, 12, 22.0, -0.1276, 51.5074, 0.0, 0, 0, 2460301.041592, 2460300.614867},
|
||||
{2023, 12, 22.0, -0.1276, 51.5074, 0.0, 0, 100, 2460301.040804, 2460300.615663},
|
||||
{2023, 12, 22.0, -0.1276, 51.5074, 0.0, 0, 1000, 2460301.039097, 2460300.617388},
|
||||
{2023, 12, 22.0, -0.1276, 51.5074, 0.0, 1, 0, 2460301.037491, 2460300.619011},
|
||||
{2023, 12, 22.0, -0.1276, 51.5074, 0.0, 1, 100, 2460301.036696, 2460300.619812},
|
||||
{2023, 12, 22.0, -0.1276, 51.5074, 0.0, 1, 1000, 2460301.034975, 2460300.621551},
|
||||
{2024, 2, 29.0, -0.1276, 51.5074, 0.0, 0, 0, 2460370.477943, 2460369.838418},
|
||||
{2024, 2, 29.0, -0.1276, 51.5074, 0.0, 0, 100, 2460370.477078, 2460369.839203},
|
||||
{2024, 2, 29.0, -0.1276, 51.5074, 0.0, 0, 1000, 2460370.475212, 2460369.840897},
|
||||
{2024, 2, 29.0, -0.1276, 51.5074, 0.0, 1, 0, 2460370.473471, 2460369.842481},
|
||||
{2024, 2, 29.0, -0.1276, 51.5074, 0.0, 1, 100, 2460370.472615, 2460369.843260},
|
||||
{2024, 2, 29.0, -0.1276, 51.5074, 0.0, 1, 1000, 2460370.470771, 2460369.844941},
|
||||
{2025, 7, 4.0, -0.1276, 51.5074, 0.0, 0, 0, 2460861.106361, 2460861.487905},
|
||||
{2025, 7, 4.0, -0.1276, 51.5074, 0.0, 0, 100, 2460861.105517, 2460861.488735},
|
||||
{2025, 7, 4.0, -0.1276, 51.5074, 0.0, 0, 1000, 2460861.103697, 2460861.490524},
|
||||
{2025, 7, 4.0, -0.1276, 51.5074, 0.0, 1, 0, 2460861.101998, 2460861.492193},
|
||||
{2025, 7, 4.0, -0.1276, 51.5074, 0.0, 1, 100, 2460861.101162, 2460861.493015},
|
||||
{2025, 7, 4.0, -0.1276, 51.5074, 0.0, 1, 1000, 2460861.099360, 2460861.494784},
|
||||
{2023, 1, 15.0, -74.0060, 40.7128, -5.0, 0, 0, 2459959.524199, 2459959.980835},
|
||||
{2023, 1, 15.0, -74.0060, 40.7128, -5.0, 0, 100, 2459959.523565, 2459959.981455},
|
||||
{2023, 1, 15.0, -74.0060, 40.7128, -5.0, 0, 1000, 2459959.522195, 2459959.982795},
|
||||
{2023, 1, 15.0, -74.0060, 40.7128, -5.0, 1, 0, 2459959.520911, 2459959.984050},
|
||||
{2023, 1, 15.0, -74.0060, 40.7128, -5.0, 1, 100, 2459959.520279, 2459959.984669},
|
||||
{2023, 1, 15.0, -74.0060, 40.7128, -5.0, 1, 1000, 2459959.518912, 2459959.986004},
|
||||
{2023, 3, 20.0, -74.0060, 40.7128, -5.0, 0, 0, 2460023.742085, 2460024.205917},
|
||||
{2023, 3, 20.0, -74.0060, 40.7128, -5.0, 0, 100, 2460023.741461, 2460024.206545},
|
||||
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|
||||
{2023, 3, 20.0, 0.0000, -85.0000, 0.0, 1, 1000, -1.000000, -1.000000},
|
||||
{2023, 6, 21.0, 0.0000, -85.0000, 0.0, 0, 0, -2.000000, -2.000000},
|
||||
{2023, 6, 21.0, 0.0000, -85.0000, 0.0, 0, 100, -2.000000, -2.000000},
|
||||
{2023, 6, 21.0, 0.0000, -85.0000, 0.0, 0, 1000, -2.000000, -2.000000},
|
||||
{2023, 6, 21.0, 0.0000, -85.0000, 0.0, 1, 0, -2.000000, -2.000000},
|
||||
{2023, 6, 21.0, 0.0000, -85.0000, 0.0, 1, 100, -2.000000, -2.000000},
|
||||
{2023, 6, 21.0, 0.0000, -85.0000, 0.0, 1, 1000, -2.000000, -2.000000},
|
||||
{2023, 9, 23.0, 0.0000, -85.0000, 0.0, 0, 0, -1.000000, -1.000000},
|
||||
{2023, 9, 23.0, 0.0000, -85.0000, 0.0, 0, 100, -1.000000, -1.000000},
|
||||
{2023, 9, 23.0, 0.0000, -85.0000, 0.0, 0, 1000, -1.000000, -1.000000},
|
||||
{2023, 9, 23.0, 0.0000, -85.0000, 0.0, 1, 0, -1.000000, -1.000000},
|
||||
{2023, 9, 23.0, 0.0000, -85.0000, 0.0, 1, 100, -1.000000, -1.000000},
|
||||
{2023, 9, 23.0, 0.0000, -85.0000, 0.0, 1, 1000, -1.000000, -1.000000},
|
||||
{2023, 12, 22.0, 0.0000, -85.0000, 0.0, 0, 0, -2.000000, -2.000000},
|
||||
{2023, 12, 22.0, 0.0000, -85.0000, 0.0, 0, 100, -2.000000, -2.000000},
|
||||
{2023, 12, 22.0, 0.0000, -85.0000, 0.0, 0, 1000, -2.000000, -2.000000},
|
||||
{2023, 12, 22.0, 0.0000, -85.0000, 0.0, 1, 0, -2.000000, -2.000000},
|
||||
{2023, 12, 22.0, 0.0000, -85.0000, 0.0, 1, 100, -2.000000, -2.000000},
|
||||
{2023, 12, 22.0, 0.0000, -85.0000, 0.0, 1, 1000, -2.000000, -2.000000},
|
||||
{2024, 2, 29.0, 0.0000, -85.0000, 0.0, 0, 0, -1.000000, -1.000000},
|
||||
{2024, 2, 29.0, 0.0000, -85.0000, 0.0, 0, 100, -1.000000, -1.000000},
|
||||
{2024, 2, 29.0, 0.0000, -85.0000, 0.0, 0, 1000, -1.000000, -1.000000},
|
||||
{2024, 2, 29.0, 0.0000, -85.0000, 0.0, 1, 0, -1.000000, -1.000000},
|
||||
{2024, 2, 29.0, 0.0000, -85.0000, 0.0, 1, 100, -1.000000, -1.000000},
|
||||
{2024, 2, 29.0, 0.0000, -85.0000, 0.0, 1, 1000, -1.000000, -1.000000},
|
||||
{2025, 7, 4.0, 0.0000, -85.0000, 0.0, 0, 0, -1.000000, -1.000000},
|
||||
{2025, 7, 4.0, 0.0000, -85.0000, 0.0, 0, 100, -1.000000, -1.000000},
|
||||
{2025, 7, 4.0, 0.0000, -85.0000, 0.0, 0, 1000, -1.000000, -1.000000},
|
||||
{2025, 7, 4.0, 0.0000, -85.0000, 0.0, 1, 0, -1.000000, -1.000000},
|
||||
{2025, 7, 4.0, 0.0000, -85.0000, 0.0, 1, 100, -1.000000, -1.000000},
|
||||
{2025, 7, 4.0, 0.0000, -85.0000, 0.0, 1, 1000, -1.000000, -1.000000},
|
||||
}
|
||||
|
||||
// TestMoonRiseSetRegression 月出月落回归测试
|
||||
func TestMoonRiseSetRegression(t *testing.T) {
|
||||
beforeDeltaT := defDeltaTFn
|
||||
SetDeltaTFn(DefaultDeltaT)
|
||||
defer SetDeltaTFn(beforeDeltaT)
|
||||
const tolerance = 0.000001 // 容差设为1微秒，对于天文计算来说已经足够精确
|
||||
|
||||
for i, testCase := range moonRiseSetTestData {
|
||||
julianDay := JDECalc(testCase.Year, testCase.Month, testCase.Day)
|
||||
|
||||
// 测试月出时间
|
||||
actualRise := GetMoonRiseTime(julianDay, testCase.Longitude, testCase.Latitude,
|
||||
testCase.TimeZone, testCase.ZenithShift, testCase.Height)
|
||||
|
||||
if !floatEquals(actualRise, testCase.ExpectedRise, tolerance) {
|
||||
t.Errorf("测试用例 %d 月出时间不匹配:\n"+
|
||||
" 日期: %d-%d-%.1f, 经纬度: (%.4f, %.4f), 时区: %.1f, 天顶修正: %.0f, 海拔: %.0f\n"+
|
||||
" 期望月出: %.6f, 实际月出: %.6f, 差值: %.9f",
|
||||
i, testCase.Year, testCase.Month, testCase.Day,
|
||||
testCase.Longitude, testCase.Latitude, testCase.TimeZone,
|
||||
testCase.ZenithShift, testCase.Height,
|
||||
testCase.ExpectedRise, actualRise, math.Abs(actualRise-testCase.ExpectedRise))
|
||||
}
|
||||
|
||||
// 测试月落时间
|
||||
actualSet := GetMoonSetTime(julianDay, testCase.Longitude, testCase.Latitude,
|
||||
testCase.TimeZone, testCase.ZenithShift, testCase.Height)
|
||||
|
||||
if !floatEquals(actualSet, testCase.ExpectedSet, tolerance) {
|
||||
t.Errorf("测试用例 %d 月落时间不匹配:\n"+
|
||||
" 日期: %d-%d-%.1f, 经纬度: (%.4f, %.4f), 时区: %.1f, 天顶修正: %.0f, 海拔: %.0f\n"+
|
||||
" 期望月落: %.6f, 实际月落: %.6f, 差值: %.9f",
|
||||
i, testCase.Year, testCase.Month, testCase.Day,
|
||||
testCase.Longitude, testCase.Latitude, testCase.TimeZone,
|
||||
testCase.ZenithShift, testCase.Height,
|
||||
testCase.ExpectedSet, actualSet, math.Abs(actualSet-testCase.ExpectedSet))
|
||||
}
|
||||
}
|
||||
|
||||
t.Logf("月出月落回归测试通过，共测试 %d 个用例", len(moonRiseSetTestData))
|
||||
}
|
||||
|
||||
// TestMoonRiseSetSpecialCases 测试特殊情况
|
||||
func TestMoonRiseSetSpecialCases(t *testing.T) {
|
||||
beforeDeltaT := defDeltaTFn
|
||||
SetDeltaTFn(DefaultDeltaT)
|
||||
defer SetDeltaTFn(beforeDeltaT)
|
||||
testCases := []struct {
|
||||
name string
|
||||
year int
|
||||
month int
|
||||
day float64
|
||||
longitude float64
|
||||
latitude float64
|
||||
timeZone float64
|
||||
zenithShift float64
|
||||
height float64
|
||||
expectedRiseCode float64 // -1=拱, -2=沉, -3=明日
|
||||
expectedSetCode float64
|
||||
}{
|
||||
{
|
||||
name: "极地地区极昼测试",
|
||||
year: 2023, month: 6, day: 21,
|
||||
longitude: 0, latitude: 85,
|
||||
timeZone: 0, zenithShift: 1, height: 0,
|
||||
expectedRiseCode: -1, // 可能出现拱的情况
|
||||
expectedSetCode: -1,
|
||||
},
|
||||
{
|
||||
name: "极地地区极夜测试",
|
||||
year: 2023, month: 12, day: 22,
|
||||
longitude: 0, latitude: -85,
|
||||
timeZone: 0, zenithShift: 1, height: 0,
|
||||
expectedRiseCode: -2, // 可能出现沉的情况
|
||||
expectedSetCode: -2,
|
||||
},
|
||||
}
|
||||
|
||||
for _, tc := range testCases {
|
||||
t.Run(tc.name, func(t *testing.T) {
|
||||
julianDay := JDECalc(tc.year, tc.month, tc.day)
|
||||
|
||||
actualRise := GetMoonRiseTime(julianDay, tc.longitude, tc.latitude,
|
||||
tc.timeZone, tc.zenithShift, tc.height)
|
||||
actualSet := GetMoonSetTime(julianDay, tc.longitude, tc.latitude,
|
||||
tc.timeZone, tc.zenithShift, tc.height)
|
||||
|
||||
t.Logf("特殊情况测试结果: 月出=%.6f, 月落=%.6f", actualRise, actualSet)
|
||||
|
||||
// 对于极地条件，我们主要验证函数不会崩溃，具体的特殊返回值可能因条件而异
|
||||
if math.IsNaN(actualRise) || math.IsInf(actualRise, 0) {
|
||||
t.Errorf("月出时间计算异常: %f", actualRise)
|
||||
}
|
||||
if math.IsNaN(actualSet) || math.IsInf(actualSet, 0) {
|
||||
t.Errorf("月落时间计算异常: %f", actualSet)
|
||||
}
|
||||
})
|
||||
}
|
||||
}
|
||||
|
||||
// floatEquals 比较两个浮点数是否在给定容差内相等
|
||||
func floatEquals(a, b, tolerance float64) bool {
|
||||
return math.Abs(a-b) <= tolerance
|
||||
}
|
||||
|
||||
// BenchmarkMoonRiseTime 月出时间计算性能测试
|
||||
func BenchmarkMoonRiseTime(b *testing.B) {
|
||||
julianDay := JDECalc(2023, 6, 21)
|
||||
longitude, latitude := 116.4074, 39.9042
|
||||
timeZone, zenithShift, height := 8.0, 1.0, 0.0
|
||||
|
||||
b.ResetTimer()
|
||||
for i := 0; i < b.N; i++ {
|
||||
GetMoonRiseTime(julianDay, longitude, latitude, timeZone, zenithShift, height)
|
||||
}
|
||||
}
|
||||
|
||||
// BenchmarkMoonSetTime 月落时间计算性能测试
|
||||
func BenchmarkMoonSetTime(b *testing.B) {
|
||||
julianDay := JDECalc(2023, 6, 21)
|
||||
longitude, latitude := 116.4074, 39.9042
|
||||
timeZone, zenithShift, height := 8.0, 1.0, 0.0
|
||||
|
||||
b.ResetTimer()
|
||||
for i := 0; i < b.N; i++ {
|
||||
GetMoonSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height)
|
||||
}
|
||||
}
|
||||
|
||||
+176
-115
@@ -288,48 +288,66 @@ func GetJieqiLoops(year, loop int) []float64 {
|
||||
return jq
|
||||
}
|
||||
|
||||
func GetJQTime(Year, Angle int) float64 { //节气时间
|
||||
var j int = 1
|
||||
var Day int
|
||||
var tp float64
|
||||
if Angle%2 == 0 {
|
||||
Day = 18
|
||||
func GetJQTime(year, angle int) float64 {
|
||||
// Calculate initial day based on angle parity
|
||||
var initialDay float64
|
||||
if angle%2 == 0 {
|
||||
initialDay = 18
|
||||
} else {
|
||||
Day = 3
|
||||
initialDay = 3
|
||||
}
|
||||
if Angle%10 != 0 {
|
||||
tp = float64(Angle+15.0) / 30.0
|
||||
|
||||
// Calculate temporary factor for month offset
|
||||
var tempFactor float64
|
||||
if angle%10 != 0 {
|
||||
tempFactor = float64(angle+15) / 30.0
|
||||
} else {
|
||||
tp = float64(Angle) / 30.0
|
||||
tempFactor = float64(angle) / 30.0
|
||||
}
|
||||
Month := 3 + tp
|
||||
if Month > 12 {
|
||||
Month -= 12
|
||||
|
||||
// Calculate initial month, adjusting if超过 12
|
||||
initialMonth := 3.0 + tempFactor
|
||||
if initialMonth > 12.0 {
|
||||
initialMonth -= 12.0
|
||||
}
|
||||
JD1 := JDECalc(int(Year), int(Month), float64(Day))
|
||||
if Angle == 0 {
|
||||
Angle = 360
|
||||
|
||||
// Calculate initial Julian date
|
||||
initialJD := JDECalc(year, int(initialMonth), initialDay)
|
||||
|
||||
// Set target angle for iteration; if angle is 0, use 360
|
||||
targetAngle := float64(angle)
|
||||
if angle == 0 {
|
||||
targetAngle = 360.0
|
||||
}
|
||||
for i := 0; i < j; i++ {
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := JQLospec(JD0) - float64(Angle)
|
||||
stDegreep := (JQLospec(JD0+0.000005) - JQLospec(JD0-0.000005)) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00001 {
|
||||
break
|
||||
}
|
||||
|
||||
// Newton-Raphson iteration to find precise Julian date
|
||||
currentJD := initialJD
|
||||
for {
|
||||
previousJD := currentJD
|
||||
errorValue := JQLospec(previousJD, targetAngle) - targetAngle
|
||||
derivative := (JQLospec(previousJD+0.000005, targetAngle) - JQLospec(previousJD-0.000005, targetAngle)) / 0.00001
|
||||
currentJD = previousJD - errorValue/derivative
|
||||
|
||||
// Check for convergence
|
||||
if math.Abs(currentJD-previousJD) <= 0.00001 {
|
||||
break
|
||||
}
|
||||
JD1 -= 0.001
|
||||
}
|
||||
JD1 += 0.001
|
||||
return TD2UT(JD1, false)
|
||||
|
||||
// Convert to UT and return
|
||||
return TD2UT(currentJD, false)
|
||||
}
|
||||
|
||||
func JQLospec(JD float64) float64 {
|
||||
func JQLospec(JD float64, target float64) float64 {
|
||||
t := HSunApparentLo(JD)
|
||||
if t <= 12 {
|
||||
t += 360
|
||||
if target >= 345 {
|
||||
if t <= 12 {
|
||||
t += 360
|
||||
}
|
||||
} else if target <= 15 {
|
||||
if t >= 350 {
|
||||
t -= 360
|
||||
}
|
||||
}
|
||||
return t
|
||||
}
|
||||
@@ -391,8 +409,8 @@ func GetWHTime(Year, Angle int) float64 {
|
||||
}
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := JQLospec(JD0) - float64(Angle)
|
||||
stDegreep := (JQLospec(JD0+0.000005) - JQLospec(JD0-0.000005)) / 0.00001
|
||||
stDegree := JQLospec(JD0, float64(Angle)) - float64(Angle)
|
||||
stDegreep := (JQLospec(JD0+0.000005, float64(Angle)) - JQLospec(JD0-0.000005, float64(Angle))) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00001 {
|
||||
break
|
||||
@@ -503,96 +521,133 @@ func SunTimeAngle(JD, Lon, Lat, TZ float64) float64 {
|
||||
return timeangle
|
||||
}
|
||||
|
||||
/*
|
||||
* 精确计算，传入当日0时JDE
|
||||
*/
|
||||
func GetSunRiseTime(JD, Lon, Lat, TZ, ZS, HEI float64) float64 {
|
||||
var An float64
|
||||
JD = math.Floor(JD) + 1.5
|
||||
ntz := math.Round(Lon / 15)
|
||||
if ZS != 0 {
|
||||
An = -0.8333
|
||||
}
|
||||
An = An - HeightDegreeByLat(HEI, Lat)
|
||||
tztime := GetSunTZTime(JD, Lon, ntz)
|
||||
if SunHeight(tztime, Lon, Lat, ntz) < An {
|
||||
return -2 //极夜
|
||||
}
|
||||
if SunHeight(tztime-0.5, Lon, Lat, ntz) > An {
|
||||
return -1 //极昼
|
||||
}
|
||||
//(sin(ho)-sin(φ)*sin(δ2))/(cos(φ)*cos(δ2))
|
||||
tmp := (Sin(An) - Sin(HSunApparentDec(tztime))*Sin(Lat)) / (Cos(HSunApparentDec(tztime)) * Cos(Lat))
|
||||
var sunrise float64
|
||||
if math.Abs(tmp) <= 1 && Lat < 85 {
|
||||
rzsc := ArcCos(tmp) / 15
|
||||
sunrise = tztime - rzsc/24 - 25.0/24.0/60.0
|
||||
} else {
|
||||
sunrise = tztime
|
||||
i := 0
|
||||
//TODO:使用二分法计算
|
||||
for LowSunHeight(sunrise, Lon, Lat, ntz) > An {
|
||||
i++
|
||||
sunrise -= 15.0 / 60.0 / 24.0
|
||||
if i > 48 {
|
||||
break
|
||||
}
|
||||
}
|
||||
}
|
||||
JD1 := sunrise
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := SunHeight(JD0, Lon, Lat, ntz) - An
|
||||
stDegreep := (SunHeight(JD0+0.000005, Lon, Lat, ntz) - SunHeight(JD0-0.000005, Lon, Lat, ntz)) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00001 {
|
||||
break
|
||||
}
|
||||
}
|
||||
return JD1 - ntz/24 + TZ/24
|
||||
// GetSunRiseTime 精确计算日出时间，传入当日0时JDE
|
||||
func GetSunRiseTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64) float64 {
|
||||
return calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height, true)
|
||||
}
|
||||
func GetSunSetTime(JD, Lon, Lat, TZ, ZS, HEI float64) float64 {
|
||||
var An float64
|
||||
JD = math.Floor(JD) + 1.5
|
||||
ntz := math.Round(Lon / 15)
|
||||
if ZS != 0 {
|
||||
An = -0.8333
|
||||
|
||||
// GetSunSetTime 精确计算日落时间，传入当日0时JDE
|
||||
func GetSunSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64) float64 {
|
||||
return calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height, false)
|
||||
}
|
||||
|
||||
// calculateSunRiseSetTime 统一的日出日落计算函数
|
||||
func calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64, isSunrise bool) float64 {
|
||||
var sunAngle float64
|
||||
julianDay = math.Floor(julianDay) + 1.5
|
||||
naturalTimeZone := math.Round(longitude / 15)
|
||||
|
||||
// 计算太阳高度角
|
||||
if zenithShift != 0 {
|
||||
sunAngle = -0.8333
|
||||
}
|
||||
An = An - HeightDegreeByLat(HEI, Lat)
|
||||
tztime := GetSunTZTime(JD, Lon, ntz)
|
||||
if SunHeight(tztime, Lon, Lat, ntz) < An {
|
||||
return -2 //极夜
|
||||
sunAngle = sunAngle - HeightDegreeByLat(height, latitude)
|
||||
|
||||
// 获取太阳上中天时间
|
||||
solarNoonTime := GetSunTZTime(julianDay, longitude, naturalTimeZone)
|
||||
|
||||
// 检查极夜极昼条件
|
||||
polarCondition := checkPolarConditions(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, isSunrise)
|
||||
if polarCondition != 0 {
|
||||
return polarCondition
|
||||
}
|
||||
if SunHeight(tztime+0.5, Lon, Lat, ntz) > An {
|
||||
return -1 //极昼
|
||||
|
||||
// 计算初始估算时间
|
||||
initialTime := calculateInitialSunTime(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, isSunrise)
|
||||
|
||||
// 牛顿-拉夫逊迭代求精确解
|
||||
return sunRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, naturalTimeZone, sunAngle, timeZone)
|
||||
}
|
||||
|
||||
// checkPolarConditions 检查极夜极昼条件
|
||||
func checkPolarConditions(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle float64, isSunrise bool) float64 {
|
||||
if SunHeight(solarNoonTime, longitude, latitude, naturalTimeZone) < sunAngle {
|
||||
return -2 // 极夜
|
||||
}
|
||||
tmp := (Sin(An) - Sin(HSunApparentDec(tztime))*Sin(Lat)) / (Cos(HSunApparentDec(tztime)) * Cos(Lat))
|
||||
var sundown float64
|
||||
if math.Abs(tmp) <= 1 && Lat < 85 {
|
||||
rzsc := ArcCos(tmp) / 15
|
||||
sundown = tztime + rzsc/24.0 + 35.0/24.0/60.0
|
||||
} else {
|
||||
sundown = tztime
|
||||
i := 0
|
||||
for LowSunHeight(sundown, Lon, Lat, ntz) > An {
|
||||
i++
|
||||
sundown += 15.0 / 60.0 / 24.0
|
||||
if i > 48 {
|
||||
break
|
||||
}
|
||||
|
||||
checkTime := solarNoonTime + 0.5
|
||||
if isSunrise {
|
||||
checkTime = solarNoonTime - 0.5
|
||||
}
|
||||
|
||||
if SunHeight(checkTime, longitude, latitude, naturalTimeZone) > sunAngle {
|
||||
return -1 // 极昼
|
||||
}
|
||||
|
||||
return 0 // 正常条件
|
||||
}
|
||||
|
||||
// calculateInitialSunTime 计算日出日落的初始估算时间
|
||||
func calculateInitialSunTime(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle float64, isSunrise bool) float64 {
|
||||
// 使用球面三角法计算: (sin(ho)-sin(φ)*sin(δ))/(cos(φ)*cos(δ))
|
||||
apparentDeclination := HSunApparentDec(solarNoonTime)
|
||||
cosHourAngle := (Sin(sunAngle) - Sin(apparentDeclination)*Sin(latitude)) / (Cos(apparentDeclination) * Cos(latitude))
|
||||
|
||||
if math.Abs(cosHourAngle) <= 1 && latitude < 85 {
|
||||
// 使用解析解
|
||||
hourAngle := ArcCos(cosHourAngle) / 15
|
||||
timeOffset := 25.0 / 24.0 / 60.0 // 日出偏移
|
||||
if !isSunrise {
|
||||
timeOffset = 35.0 / 24.0 / 60.0 // 日落偏移
|
||||
}
|
||||
|
||||
if isSunrise {
|
||||
return solarNoonTime - hourAngle/24 - timeOffset
|
||||
} else {
|
||||
return solarNoonTime + hourAngle/24 + timeOffset
|
||||
}
|
||||
} else {
|
||||
// 使用迭代逼近法（极地条件）
|
||||
return iterativeApproach(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, isSunrise)
|
||||
}
|
||||
JD1 := sundown
|
||||
}
|
||||
|
||||
// iterativeApproach 迭代逼近法计算（用于极地等特殊条件）
|
||||
func iterativeApproach(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle float64, isSunrise bool) float64 {
|
||||
estimatedTime := solarNoonTime
|
||||
stepSize := 15.0 / 60.0 / 24.0 // 15分钟步长
|
||||
if isSunrise {
|
||||
stepSize = -stepSize
|
||||
}
|
||||
|
||||
const maxIterations = 48
|
||||
for i := 0; i < maxIterations && LowSunHeight(estimatedTime, longitude, latitude, naturalTimeZone) > sunAngle; i++ {
|
||||
estimatedTime += stepSize
|
||||
}
|
||||
|
||||
return estimatedTime
|
||||
}
|
||||
|
||||
// sunRiseSetNewtonRaphsonIteration 牛顿-拉夫逊迭代法求精确解
|
||||
func sunRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, naturalTimeZone, sunAngle, timeZone float64) float64 {
|
||||
const (
|
||||
convergenceThreshold = 0.00001
|
||||
derivativeStep = 0.000005
|
||||
)
|
||||
|
||||
currentTime := initialTime
|
||||
|
||||
for {
|
||||
JD0 := JD1
|
||||
stDegree := SunHeight(JD0, Lon, Lat, ntz) - An
|
||||
stDegreep := (SunHeight(JD0+0.000005, Lon, Lat, ntz) - SunHeight(JD0-0.000005, Lon, Lat, ntz)) / 0.00001
|
||||
JD1 = JD0 - stDegree/stDegreep
|
||||
if math.Abs(JD1-JD0) <= 0.00001 {
|
||||
previousTime := currentTime
|
||||
|
||||
// 计算函数值：f(t) = SunHeight(t) - targetAngle
|
||||
functionValue := SunHeight(previousTime, longitude, latitude, naturalTimeZone) - sunAngle
|
||||
|
||||
// 计算导数：f'(t) ≈ (f(t+h) - f(t-h)) / (2h)
|
||||
derivative := (SunHeight(previousTime+derivativeStep, longitude, latitude, naturalTimeZone) -
|
||||
SunHeight(previousTime-derivativeStep, longitude, latitude, naturalTimeZone)) / (2 * derivativeStep)
|
||||
|
||||
// 牛顿-拉夫逊公式：t_new = t_old - f(t) / f'(t)
|
||||
currentTime = previousTime - functionValue/derivative
|
||||
|
||||
// 检查收敛
|
||||
if math.Abs(currentTime-previousTime) <= convergenceThreshold {
|
||||
break
|
||||
}
|
||||
}
|
||||
return JD1 - ntz/24 + TZ/24
|
||||
|
||||
// 转换为指定时区
|
||||
return currentTime - naturalTimeZone/24 + timeZone/24
|
||||
}
|
||||
|
||||
/*
|
||||
@@ -643,9 +698,15 @@ func SunAngle(JD, Lon, Lat, TZ float64) float64 {
|
||||
* 干支
|
||||
*/
|
||||
func GetGZ(year int) string {
|
||||
tiangan := []string{"庚", "辛", "壬", "癸", "甲", "乙", "丙", "丁", "戊", "已"}
|
||||
tiangan := []string{"庚", "辛", "壬", "癸", "甲", "乙", "丙", "丁", "戊", "己"}
|
||||
dizhi := []string{"申", "酉", "戌", "亥", "子", "丑", "寅", "卯", "辰", "巳", "午", "未"}
|
||||
t := year - (year / 10 * 10)
|
||||
if t < 0 {
|
||||
t += 10
|
||||
}
|
||||
d := year % 12
|
||||
return tiangan[t] + dizhi[d] + "年"
|
||||
if d < 0 {
|
||||
d += 12
|
||||
}
|
||||
return tiangan[t] + dizhi[d]
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user