--lunarJieQiModule.lua
--Copyright (C) 2023 yaoyuan.dou <douyaoyuan@126.com>
--该计算脚本取自 博文 https://www.cnblogs.com/moodlxs/archive/2012/09/15/2686472.html
--感谢博主 绿色冰点 对脚本的贡献和分享

local dbgFlg = false

local function setDbg(flg, printPrefix)
	dbgFlg = flg
	if nil == printPrefix then
		printPrefix = ''
	end
	
	if flg then
		print(printPrefix..'flg in lunar is true')
	end
end

--节气表
local jqB={"春分","清明","谷雨","立夏","小满","芒种","夏至","小暑","大暑","立秋","处暑","白露","秋分","寒露","霜降","立冬","小雪","大雪","冬至","小寒","大寒","立春","雨水","惊蛰"}
local yueMing={"正","二","三","四","五","六","七","八","九","十","冬","腊"}

--存储以当前日期所在年分为中心，前后各1年，共3年的节气数据，以及对应的节气名
local jq3Y={}
local jqN3Y={}

--*******农历节气计算部分
--========角度变换===============
--每弧度的角秒数
local rad = 180*3600/math.pi
--每弧度的角度数
local RAD = 180/math.pi
--取整数部分
local function int2(v)
	v=math.floor(v)
	if v<0 then
		return v+1
	else
		return v
	end
end

--对超过0-2PI的角度转为0-2PI
local function rad2mrad(v)
	v=math.fmod(v ,2*math.pi)
	if v<0 then
		return v+2*math.pi
	else
		return v
	end
end

--将弧度转为字串
local function rad2str(d,tim)
	--tim=0输出格式示例: -23°59' 48.23"
	--tim=1输出格式示例:  18h 29m 44.52s
	local s="+"
	local w1="°" w2="’"  w3="”"
	if d<0 then
		d=-d
		s='-'
	end
	if tim~= 0 then
		d=d*12/math.pi
		w1="h "
		w2="m "
		w3="s "
	else
		d=d*180/math.pi
	end
	local a=math.floor(d) d=(d-a)*60
	local b=math.floor(d) d=(d-b)*60
	local c=math.floor(d) d=(d-c)*100
	d=math.floor(d+0.5)
	if d>=100 then
		d=d-100
		c=c+1
	end
	if c>=60 then
		c=c-60
		b=b+1
	end
	if b>=60 then
		b=b-60
		a=a+1
	end
	a="   "+a
	b="0"+b
	c="0"+c
	d="0"+d
	local alen = string.len(a)
	local blen = string.len(b)
	local clen = string.len(c)
	local dlen = string.len(d)
	s = s..string.sub(a, alen-3,alen)+w1
	s = s..string.sub(b, blen-2,blen)+w2
	s = s..string.sub(c, clen-2,clen)+"."
	s = s..string.sub(d, dlen-2,dlen)+w3
	
	return s
end

--================日历计算===============
--2000年前儒略日数(2000-1-1 12:00:00格林威治平时)
local J2000=2451545

--日期元件
local JDate={
	Y=2000, M=1, D=1, h=12, m=0, s=0,
	--世界时与原子时之差计算表
	dts = {-4000,108371.7,-13036.80,392.000, 0.0000, -500, 17201.0, -627.82, 16.170,-0.3413,
			-150, 12200.6, -346.41, 5.403,-0.1593, 150, 9113.8, -328.13, -1.647, 0.0377,
			500, 5707.5, -391.41, 0.915, 0.3145, 900, 2203.4, -283.45, 13.034,-0.1778,
			1300, 490.1, -57.35, 2.085,-0.0072, 1600, 120.0, -9.81, -1.532, 0.1403,
			1700, 10.2, -0.91, 0.510,-0.0370, 1800, 13.4, -0.72, 0.202,-0.0193,
			1830, 7.8, -1.81, 0.416,-0.0247, 1860, 8.3, -0.13, -0.406, 0.0292,
			1880, -5.4, 0.32, -0.183, 0.0173, 1900, -2.3, 2.06, 0.169,-0.0135,
			1920, 21.2, 1.69, -0.304, 0.0167, 1940, 24.2, 1.22, -0.064, 0.0031,
			1960, 33.2, 0.51, 0.231,-0.0109, 1980, 51.0, 1.29, -0.026, 0.0032,
			2000, 64.7, -1.66, 5.224,-0.2905, 2150, 279.4, 732.95,429.579, 0.0158, 6000},
	--计算世界时与原子时之差,传入年
	deltatT = function(JDate,y)
		local i
		local d=JDate.dts
		for x=1,100, 5 do
			if y<d[x+5] or x==96 then
				i=x
				break
			end
		end
		local t1=(y-d[i])/(d[i+5]-d[i])*10
		local t2=t1*t1
		local t3=t2*t1
		
		return d[i+1] +d[i+2]*t1 +d[i+3]*t2 +d[i+4]*t3
	end,
	--传入儒略日(J2000起算),计算UTC与原子时的差(单位:日)
	deltatT2 = function(JDate,jd,info)
		return JDate:deltatT(jd/365.2425+2000)/86400.0
	end,
	--公历转儒略日,UTC=1表示原日期是UTC
	toJD = function(JDate,UTC)
		--取出年月
		local  y=JDate.Y m=JDate.M n=0
		if m<=2 then
			m=m+12
			y=y-1
		end
		--判断是否为格里高利历日1582*372+10*31+15
		if JDate.Y*372+JDate.M*31+JDate.D>=588829 then
			--加百年闰
			n =int2(y/100) n =2-n+int2(n/4)
		end
		--加上年引起的偏移日数
		n = n + int2(365.2500001*(y+4716))
		--加上月引起的偏移日数及日偏移数
		n = n + int2(30.6*(m+1))+JDate.D
		n = n + ((JDate.s/60+JDate.m)/60+JDate.h)/24 - 1524.5
		if(UTC == 1) then
			return n+JDate:deltatT2(n-J2000,'142')
		else
			return n
		end
	end,
	--儒略日数转公历,UTC=1表示目标公历是UTC
	setFromJD = function(JDate,jd,UTC)
		if UTC==1 then
			jd= jd - JDate:deltatT2(jd-J2000,'150')
		end
		jd=jd+0.5
		--取得日数的整数部份A及小数部分F
		local A=int2(jd)
		local F=jd-A
		local D=0
		if A>2299161 then
			D=int2((A-1867216.25)/36524.25)
			A=A+1+D-int2(D/4)
		end
		--向前移4年零2个月
		A = A + 1524
		--年
		JDate.Y =int2((A-122.1)/365.25)
		--去除整年日数后余下日数
		D =A-int2(365.25*JDate.Y)
		--月数
		JDate.M =int2(D/30.6001)
		--去除整月日数后余下日数
		JDate.D =D-int2(JDate.M*30.6001)
		JDate.Y=JDate.Y-4716 JDate.M=JDate.M-1
		if JDate.M>12 then
			JDate.M=JDate.M - 12
		end
		if JDate.M<=2 then
			JDate.Y = JDate.Y+1
		end
		--日的小数转为时分秒
		F=F*24 JDate.h=int2(F)
		F=F - JDate.h
		F=F*60 JDate.m=int2(F)
		F=F - JDate.m
		F=F*60 JDate.s=F
	end,
	--设置时间,参数例:"20000101 120000"或"20000101"
	setFromStr = function(JDate, s)
		JDate.Y=string.sub(s, 1,4)
		JDate.M=string.sub(s, 5, 6)
		JDate.D=string.sub(s,7, 8)
		JDate.h=string.sub(s, 10, 11)
		JDate.m=string.sub(s, 12,13)
		JDate.s=string.sub(s, 14,18)
	end,
	--日期转为串
	toStr = function(JDate)
		local Y="0"..JDate.Y
		local M="0"..JDate.M
		local D="0"..JDate.D
		local h=JDate.h
		local m=JDate.m
		local s=math.floor(JDate.s+.5)
		if s>=60 then
			s=s-60
			m=m+1
		end
		if m>=60 then
			m=m-60
			h=h+1
		end
		h="0".. h
		m="0"..m
		s="0"..s
		local Ylen = string.len(Y)
		local Mlen = string.len(M)
		local Dlen = string.len(D)
		local hlen = string.len(h)
		local mlen = string.len(m)
		local slen = string.len(s)
		Y=string.sub(Y, Ylen-3,Ylen)
		M=string.sub(M, Mlen-1,Mlen)
		D=string.sub(D,Dlen-1, Dlen)
		h=string.sub(h, hlen-1, hlen)
		m=string.sub(m, mlen-1,mlen)
		s=string.sub(s, slen-1,slen)
		return Y.."-"..M.."-"..D.." "..h..":"..m..":"..s
	end,
	--输出节气日期的秒数
	JQ = function(JDate)
		local t = {}
		t.year=JDate.Y
		t.month=JDate.M
		t.day=JDate.D
		t.hour=JDate.h
		t.min=JDate.m
		t.sec=math.floor(JDate.s+.5)
		if t.sec>=60 then
			t.sec=t.sec-60
			t.min=t.min+1
		end
		if t.min>=60 then
			t.min=t.min-60
			t.hour=t.hour+1
		end
		return os.time(t)
	end,
	--算出:jd 转到当地UTC后,UTC日数的整数部分或小数部分
	Dint_dec = function(JDate,jd,shiqu,int_dec)
		--基于J2000力学时jd的起算点是12:00:00时,所以跳日时刻发生在12:00:00,这与日历计算发生矛盾
		--把jd改正为00:00:00起算,这样儒略日的跳日动作就与日期的跳日同步
		--改正方法为jd=jd+0.5-deltatT+shiqu/24
		--把儒略日的起点移动-0.5(即前移12小时)
		--式中shiqu是时区,北京的起算点是-8小时,shiqu取8
		local u=jd+0.5-JDate:deltatT2(jd,'252')+shiqu/24
		if int_dec~= 0 then
			--返回整数部分
			return math.floor(u)
		else
			--返回小数部分
			return u-math.floor(u)
		end
	end,
	--计算两个日期的相差的天数,输入字串格式日期,如:"20080101"
	d1_d2 = function(JDate,d1,d2)
		--备份原来的数据
		local Y=JDate.Y 
		local M=JDate.M
		local D=JDate.D
		local h=JDate.h
		local m=JDate.m
		local s=JDate.s
		JDate.setFromStr(string.sub(d1,1,8)+" 120000")
		local jd1=JDate.toJD(0)
		JDate.setFromStr(string.sub(d2,1,8)+" 120000")
		local jd2=JDate.toJD(0)
		
		--还原
		JDate.Y=Y
		JDate.M=M
		JDate.D=D
		JDate.h=h
		JDate.m=m
		JDate.s=s
		if jd1>jd2 then
			return  math.floor(jd1-jd2+.0001)
		else
			return -Math.floor(jd2-jd1+.0001)
		end
	end,
}

--=========黄赤交角及黄赤坐标变换===========
--黄赤交角系数表
local hcjjB = {84381.448, -46.8150, -0.00059, 0.001813}
--Date黄道上的岁差p
local preceB= {0,50287.92262,111.24406,0.07699,-0.23479,-0.00178,0.00018,0.00001}

--返回黄赤交角(常规精度),短期精度很高
local function hcjj1 (t)
	local t1=t/36525 
	local t2=t1*t1
	local t3=t2*t1
	return (hcjjB[1] +hcjjB[2]*t1 +hcjjB[3]*t2 +hcjjB[4]*t3)/rad
end

--黄赤转换(黄赤坐标旋转)
local function HCconv(JW,E)
	--黄道赤道坐标变换,赤到黄E取负
	local HJ=rad2mrad(JW[1])
	local HW=JW[2]
	local sinE =math.sin(E)
	local cosE =math.cos(E)
	local sinW=cosE*math.sin(HW)+sinE*math.cos(HW)*math.sin(HJ)
	local J=math.atan2( math.sin(HJ)*cosE-math.tan(HW)*sinE, math.cos(HJ))
	JW[1]=rad2mrad(J)
	JW[2]=math.asin(sinW)
end

--补岁差
local function addPrece(jd,zb)
	local i
	local t=1
	local v=0
	local t1=jd/365250
	for i=2,8 do
		t=t*t1
		v=v+preceB[i]*t
	end
	zb[1]=rad2mrad(zb[1]+(v+2.9965*t1)/rad)
end

--===============光行差==================
--离心率
local GXC_e={0.016708634, -0.000042037,-0.0000001267}
--近点
local GXC_p={102.93735/RAD,1.71946/RAD, 0.00046/RAD}
--太平黄经
local GXC_l={280.4664567/RAD,36000.76982779/RAD,0.0003032028/RAD,1/49931000/RAD,-1/153000000/RAD}
--光行差常数
local GXC_k=20.49552/rad
--恒星周年光行差计算(黄道坐标中)
local function addGxc(t,zb)
	local t1=t/36525
	local t2=t1*t1
	local t3=t2*t1
	local t4=t3*t1
	local L=GXC_l[1] +GXC_l[2]*t1 +GXC_l[3]*t2 +GXC_l[4]*t3 +GXC_l[5]*t4
	local p=GXC_p[1] +GXC_p[2]*t1 +GXC_p[3]*t2
	local e=GXC_e[1] +GXC_e[2]*t1 +GXC_e[3]*t2
	local dL=L-zb[1]
	local dP=p-zb[1]
	zb[1]=zb[1] - (GXC_k * (math.cos(dL)-e*math.cos(dP)) / math.cos(zb[2]))
	zb[2]=zb[2] - (GXC_k * math.sin(zb[2]) * (math.sin(dL)-e*math.sin(dP)))
	--print('aa', L,p,e,dL,dP,zb[1], zb[2])
	zb[1]=rad2mrad(zb[1])
end

--===============章动计算==================
--章动表
local nutB={2.1824391966, -33.757045954, 0.0000362262, 3.7340E-08,-2.8793E-10,-171996,-1742,92025, 89,
			3.5069406862, 1256.663930738, 0.0000105845, 6.9813E-10,-2.2815E-10, -13187, -16, 5736,-31,
			1.3375032491, 16799.418221925,-0.0000511866, 6.4626E-08,-5.3543E-10, -2274, -2, 977, -5,
			4.3648783932, -67.514091907, 0.0000724525, 7.4681E-08,-5.7586E-10, 2062, 2, -895, 5,
			0.0431251803, -628.301955171, 0.0000026820, 6.5935E-10, 5.5705E-11, -1426, 34, 54, -1,
			2.3555557435, 8328.691425719, 0.0001545547, 2.5033E-07,-1.1863E-09, 712, 1, -7, 0,
			3.4638155059, 1884.965885909, 0.0000079025, 3.8785E-11,-2.8386E-10, -517, 12, 224, -6,
			5.4382493597, 16833.175267879,-0.0000874129, 2.7285E-08,-2.4750E-10, -386, -4, 200, 0,
			3.6930589926, 25128.109647645, 0.0001033681, 3.1496E-07,-1.7218E-09, -301, 0, 129, -1,
			3.5500658664, 628.361975567, 0.0000132664, 1.3575E-09,-1.7245E-10, 217, -5, -95, 3}

--计算黄经章动及交角章动
local function nutation(t)
	local d={}
	d.Lon=0
	d.Obl=0
	t=t/36525
	local i,c
	local t1=t
	local t2=t1*t1
	local t3=t2*t1
	local t4=t3*t1
	local t5=t4*t1
	for i=1,#nutB,9 do
		c=nutB[i] +nutB[i+1]*t1 +nutB[i+2]*t2 +nutB[i+3]*t3 +nutB[i+4]*t4
		--黄经章动
		d.Lon=d.Lon + (nutB[i+5]+nutB[i+6]*t/10)*math.sin(c)
		--交角章动
		d.Obl=d.Obl + (nutB[i+7]+nutB[i+8]*t/10)*math.cos(c)
	end
	--黄经章动
	d.Lon=d.Lon/(rad*10000)
	--交角章动
	d.Obl=d.Obl/(rad*10000)
	return d
end

--本函数计算赤经章动及赤纬章动
local function nutationRaDec(t,zb)
	local Ra=zb[1]
	local Dec=zb[2]
	local E=hcjj1(t)
	local sinE=math.sin(E)
	--计算黄赤交角
	local cosE=math.cos(E)
	--计算黄经章动及交角章动
	local d=nutation(t)
	local cosRa=math.cos(Ra)
	local sinRa=math.sin(Ra)
	local tanDec=math.tan(Dec)
	--赤经章动
	zb[1]=zb[1] + (cosE+sinE*sinRa*tanDec)*d.Lon-cosRa*tanDec*d.Obl
	--赤纬章动
	zb[2]= zb[2] + sinE*cosRa*d.Lon+sinRa*d.Obl
	zb[1]=rad2mrad(zb[1])
end

--=================以下是月球及地球运动参数表===================
--[[***************************************
* 如果用记事本查看此代码,请在"格式"菜单中去除"自动换行"
* E10是关于地球的,格式如下:
*	它是一个数组,每3个数看作一条记录,每条记录的3个数记为A,B,C
*	rec=A*cos(B+C*t)  式中t是J2000起算的儒略千年数
*	每条记录的计算结果(即rec)取和即得地球的日心黄经的周期量L0
* E11格式如下: rec = A*cos*(B+C*t) *t, 取和后得泊松量L1
* E12格式如下: rec = A*cos*(B+C*t) *t*t, 取和后得泊松量L2
* E13格式如下: rec = A*cos*(B+C*t) *t*t*t, 取和后得泊松量L3
* 最后地球的地心黄经:L = L0+L1+L2+L3+...
* E20,E21,E22,E23...用于计算黄纬
* M10,M11等是关于月球的,参数的用法请阅读Mnn()函数
***************************************** --]]
--地球运动VSOP87参数
--黄经周期项
local E10={1.75347045673, 0.00000000000, 0.0000000000, 0.03341656456, 4.66925680417, 6283.0758499914, 0.00034894275, 4.62610241759, 12566.1516999828, 0.00003417571, 2.82886579606, 3.5231183490,
			0.00003497056, 2.74411800971, 5753.3848848968, 0.00003135896, 3.62767041758, 77713.7714681205, 0.00002676218, 4.41808351397, 7860.4193924392, 0.00002342687, 6.13516237631, 3930.2096962196,
			0.00001273166, 2.03709655772, 529.6909650946, 0.00001324292, 0.74246356352, 11506.7697697936, 0.00000901855, 2.04505443513, 26.2983197998, 0.00001199167, 1.10962944315, 1577.3435424478,
			0.00000857223, 3.50849156957, 398.1490034082, 0.00000779786, 1.17882652114, 5223.6939198022, 0.00000990250, 5.23268129594, 5884.9268465832, 0.00000753141, 2.53339053818, 5507.5532386674,
			0.00000505264, 4.58292563052, 18849.2275499742, 0.00000492379, 4.20506639861, 775.5226113240, 0.00000356655, 2.91954116867, 0.0673103028, 0.00000284125, 1.89869034186, 796.2980068164,
			0.00000242810, 0.34481140906, 5486.7778431750, 0.00000317087, 5.84901952218, 11790.6290886588, 0.00000271039, 0.31488607649, 10977.0788046990, 0.00000206160, 4.80646606059, 2544.3144198834,
			0.00000205385, 1.86947813692, 5573.1428014331, 0.00000202261, 2.45767795458, 6069.7767545534, 0.00000126184, 1.08302630210, 20.7753954924, 0.00000155516, 0.83306073807, 213.2990954380,
			0.00000115132, 0.64544911683, 0.9803210682, 0.00000102851, 0.63599846727, 4694.0029547076, 0.00000101724, 4.26679821365, 7.1135470008, 0.00000099206, 6.20992940258, 2146.1654164752,
			0.00000132212, 3.41118275555, 2942.4634232916, 0.00000097607, 0.68101272270, 155.4203994342, 0.00000085128, 1.29870743025, 6275.9623029906, 0.00000074651, 1.75508916159, 5088.6288397668,
			0.00000101895, 0.97569221824, 15720.8387848784, 0.00000084711, 3.67080093025, 71430.6956181291, 0.00000073547, 4.67926565481, 801.8209311238, 0.00000073874, 3.50319443167, 3154.6870848956,
			0.00000078756, 3.03698313141, 12036.4607348882, 0.00000079637, 1.80791330700, 17260.1546546904, 0.00000085803, 5.98322631256,161000.6857376741, 0.00000056963, 2.78430398043, 6286.5989683404,
			0.00000061148, 1.81839811024, 7084.8967811152, 0.00000069627, 0.83297596966, 9437.7629348870, 0.00000056116, 4.38694880779, 14143.4952424306, 0.00000062449, 3.97763880587, 8827.3902698748,
			0.00000051145, 0.28306864501, 5856.4776591154, 0.00000055577, 3.47006009062, 6279.5527316424, 0.00000041036, 5.36817351402, 8429.2412664666, 0.00000051605, 1.33282746983, 1748.0164130670,
			0.00000051992, 0.18914945834, 12139.5535091068, 0.00000049000, 0.48735065033, 1194.4470102246, 0.00000039200, 6.16832995016, 10447.3878396044, 0.00000035566, 1.77597314691, 6812.7668150860,
			0.00000036770, 6.04133859347, 10213.2855462110, 0.00000036596, 2.56955238628, 1059.3819301892, 0.00000033291, 0.59309499459, 17789.8456197850, 0.00000035954, 1.70876111898, 2352.8661537718}
--黄经泊松1项
local E11={6283.31966747491,0.00000000000, 0.0000000000, 0.00206058863, 2.67823455584, 6283.0758499914, 0.00004303430, 2.63512650414, 12566.1516999828, 0.00000425264, 1.59046980729, 3.5231183490,
			0.00000108977, 2.96618001993, 1577.3435424478, 0.00000093478, 2.59212835365, 18849.2275499742, 0.00000119261, 5.79557487799, 26.2983197998, 0.00000072122, 1.13846158196, 529.6909650946,
			0.00000067768, 1.87472304791, 398.1490034082, 0.00000067327, 4.40918235168, 5507.5532386674, 0.00000059027, 2.88797038460, 5223.6939198022, 0.00000055976, 2.17471680261, 155.4203994342,
			0.00000045407, 0.39803079805, 796.2980068164, 0.00000036369, 0.46624739835, 775.5226113240, 0.00000028958, 2.64707383882, 7.1135470008, 0.00000019097, 1.84628332577, 5486.7778431750,
0.00000020844, 5.34138275149, 0.9803210682, 0.00000018508, 4.96855124577, 213.2990954380, 0.00000016233, 0.03216483047, 2544.3144198834, 0.00000017293, 2.99116864949, 6275.9623029906}
--黄经泊松2项
local E12={0.00052918870, 0.00000000000, 0.0000000000, 0.00008719837, 1.07209665242, 6283.0758499914, 0.00000309125, 0.86728818832, 12566.1516999828, 0.00000027339, 0.05297871691, 3.5231183490,
			0.00000016334, 5.18826691036, 26.2983197998, 0.00000015752, 3.68457889430, 155.4203994342, 0.00000009541, 0.75742297675, 18849.2275499742, 0.00000008937, 2.05705419118, 77713.7714681205,
			0.00000006952, 0.82673305410, 775.5226113240, 0.00000005064, 4.66284525271, 1577.3435424478}
local E13={0.00000289226, 5.84384198723, 6283.0758499914, 0.00000034955, 0.00000000000, 0.0000000000, 0.00000016819, 5.48766912348, 12566.1516999828}
local E14={0.00000114084, 3.14159265359, 0.0000000000, 0.00000007717, 4.13446589358, 6283.0758499914, 0.00000000765, 3.83803776214, 12566.1516999828}
local E15={0.00000000878, 3.14159265359, 0.0000000000 }
--黄纬周期项
local E20={0.00000279620, 3.19870156017, 84334.6615813083, 0.00000101643, 5.42248619256, 5507.5532386674, 0.00000080445, 3.88013204458, 5223.6939198022, 0.00000043806, 3.70444689758, 2352.8661537718,
			0.00000031933, 4.00026369781, 1577.3435424478, 0.00000022724, 3.98473831560, 1047.7473117547, 0.00000016392, 3.56456119782, 5856.4776591154, 0.00000018141, 4.98367470263, 6283.0758499914,
			0.00000014443, 3.70275614914, 9437.7629348870, 0.00000014304, 3.41117857525, 10213.2855462110}
local E21={0.00000009030, 3.89729061890, 5507.5532386674, 0.00000006177, 1.73038850355, 5223.6939198022}
--距离周期项
local E30={1.00013988799, 0.00000000000, 0.0000000000, 0.01670699626, 3.09846350771, 6283.0758499914, 0.00013956023, 3.05524609620, 12566.1516999828, 0.00003083720, 5.19846674381, 77713.7714681205,
			0.00001628461, 1.17387749012, 5753.3848848968, 0.00001575568, 2.84685245825, 7860.4193924392, 0.00000924799, 5.45292234084, 11506.7697697936, 0.00000542444, 4.56409149777, 3930.2096962196}
local E31={0.00103018608, 1.10748969588, 6283.0758499914, 0.00001721238, 1.06442301418, 12566.1516999828, 0.00000702215, 3.14159265359, 0.0000000000}
local E32={0.00004359385, 5.78455133738, 6283.0758499914 }
local E33={0.00000144595, 4.27319435148, 6283.0758499914 }
--月球运动参数
local M10={22639.5858800, 2.3555545723, 8328.6914247251, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 4586.4383203, 8.0413790709, 7214.0628654588,-2.1850087E-04,-1.8646419E-07, 8.7760973E-10, 2369.9139357, 10.3969336431, 15542.7542901840,-6.6188121E-05, 6.3946925E-08,-3.0872935E-10, 769.0257187, 4.7111091445, 16657.3828494503, 3.0462550E-04, 5.0082223E-07,-2.3726782E-09,
			-666.4175399, -0.0431256817, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, -411.5957339, 3.2558104895, 16866.9323152810,-1.2804259E-04,-9.8998954E-09, 4.0433461E-11, 211.6555524, 5.6858244986, -1114.6285592663,-3.7081362E-04,-4.3687530E-07, 2.0639488E-09, 205.4359530, 8.0845047526, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10,
			191.9561973, 12.7524882154, 23871.4457149091, 8.6124629E-05, 3.1435804E-07,-1.4950684E-09, 164.7286185, 10.4400593249, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, -147.3213842, -2.3986802540, -7700.3894694766,-1.5497663E-04,-2.4979472E-07, 1.1318993E-09, -124.9881185, 5.1984668216, 7771.3771450920,-3.3094061E-05, 3.1973462E-08,-1.5436468E-10,
			-109.3803637, 2.3124288905, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09, 55.1770578, 7.1411231536, -1324.1780250970, 6.1854469E-05, 7.3846820E-08,-3.4916281E-10, -45.0996092, 5.6113650618, 25195.6237400061, 2.4270161E-05, 2.4051122E-07,-1.1459056E-09, 39.5333010, -0.9002559173, -8538.2408905558, 2.8035534E-04, 2.6031101E-07,-1.2267725E-09,
			38.4298346, 18.4383127140, 22756.8171556428,-2.8468899E-04,-1.2251727E-07, 5.6888037E-10, 36.1238141, 7.0666637168, 24986.0742741754, 4.5693825E-04, 7.5123334E-07,-3.5590172E-09, 30.7725751, 16.0827581417, 14428.1257309177,-4.3700174E-04,-3.7292838E-07, 1.7552195E-09, -28.3971008, 7.9982533891, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10,
			-24.3582283, 10.3538079614, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10, -18.5847068, 2.8429122493, -557.3142796331,-1.8540681E-04,-2.1843765E-07, 1.0319744E-09, 17.9544674, 5.1553411398, 8399.6791003405,-3.5757942E-05, 3.2589854E-08,-2.0880440E-10, 14.5302779, 12.7956138971, 23243.1437596606, 8.8788511E-05, 3.1374165E-07,-1.4406287E-09,
			14.3796974, 15.1080427876, 32200.1371396342, 2.3843738E-04, 5.6476915E-07,-2.6814075E-09, 14.2514576,-24.0810366320, -2.3011998397, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 13.8990596, 20.7938672862, 31085.5085803679,-1.3237624E-04, 1.2789385E-07,-6.1745870E-10, 13.1940636, 3.3302699264, -9443.3199839914,-5.2312637E-04,-6.8728642E-07, 3.2502879E-09,
			-9.6790568, -4.7542348263,-16029.0808942018,-3.0728938E-04,-5.0020584E-07, 2.3182384E-09, -9.3658635, 11.2971895604, 24080.9951807398,-3.4654346E-04,-1.9636409E-07, 9.1804319E-10, 8.6055318, 5.7289501804, -1742.9305145148,-3.6814974E-04,-4.3749170E-07, 2.1183885E-09, -8.4530982, 7.5540213938, 16100.0685698171, 1.1921869E-04, 2.8238458E-07,-1.3407038E-09,
			8.0501724, 10.4831850066, 14286.1503796870,-6.0860358E-05, 6.2714140E-08,-1.9984990E-10, -7.6301553, 4.6679834628, 17285.6848046987, 3.0196162E-04, 5.0143862E-07,-2.4271179E-09, -7.4474952, -0.0862513635, 1256.6039104970,-5.3277630E-06, 1.2327842E-09,-1.0887946E-10, 7.3712011, 8.1276304344, 5957.4589549619,-2.1317311E-04,-1.8769697E-07, 9.8648918E-10,
			7.0629900, 0.9591375719, 33.7570471374,-3.0829302E-05,-3.6967043E-08, 1.7385419E-10, -6.3831491, 9.4966777258, 7004.5133996281, 2.1416722E-04, 3.2425793E-07,-1.5355019E-09, -5.7416071, 13.6527441326, 32409.6866054649,-1.9423071E-04, 5.4047029E-08,-2.6829589E-10, 4.3740095, 18.4814383957, 22128.5152003943,-2.8202511E-04,-1.2313366E-07, 6.2332010E-10,
			-3.9976134, 7.9669196340, 33524.3151647312, 1.7658291E-04, 4.9092233E-07,-2.3322447E-09, -3.2096876, 13.2398458924, 14985.4400105508,-2.5159493E-04,-1.5449073E-07, 7.2324505E-10, -2.9145404, 12.7093625336, 24499.7476701576, 8.3460748E-05, 3.1497443E-07,-1.5495082E-09, 2.7318890, 16.1258838235, 13799.8237756692,-4.3433786E-04,-3.7354477E-07, 1.8096592E-09,
			-2.5679459, -2.4418059357, -7072.0875142282,-1.5764051E-04,-2.4917833E-07, 1.0774596E-09, -2.5211990, 7.9551277074, 8470.6667759558,-2.2382863E-04,-1.8523141E-07, 7.6873027E-10, 2.4888871, 5.6426988169, -486.3266040178,-3.7347750E-04,-4.3625891E-07, 2.0095091E-09, 2.1460741, 7.1842488353, -1952.4799803455, 6.4518350E-05, 7.3230428E-08,-2.9472308E-10,
			1.9777270, 23.1494218585, 39414.2000050930, 1.9936508E-05, 3.7830496E-07,-1.8037978E-09, 1.9336825, 9.4222182890, 33314.7656989005, 6.0925100E-04, 1.0016445E-06,-4.7453563E-09, 1.8707647, 20.8369929680, 30457.2066251194,-1.2971236E-04, 1.2727746E-07,-5.6301898E-10, -1.7529659, 0.4873576771, -8886.0057043583,-3.3771956E-04,-4.6884877E-07, 2.2183135E-09,
			-1.4371624, 7.0979974718, -695.8760698485, 5.9190587E-05, 7.4463212E-08,-4.0360254E-10, -1.3725701, 1.4552986550, -209.5494658307, 4.3266809E-04, 5.1072212E-07,-2.4131116E-09, 1.2618162, 7.5108957121, 16728.3705250656, 1.1655481E-04, 2.8300097E-07,-1.3951435E-09}
local M11={1.6768000, -0.0431256817, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, 0.5164200, 11.2260974062, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10, 0.4138300, 13.5816519784, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, 0.3711500, 5.5402729076, 7700.3894694766, 1.5497663E-04, 2.4979472E-07,-1.1318993E-09,
			0.2756000, 2.3124288905, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09, 0.2459863,-25.6198212459, -2.3011998397, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 0.0711800, 7.9982533891, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10, 0.0612800, 10.3538079614, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10}
local M12={0.0048700, -0.0431256817, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, 0.0022800,-27.1705318325, -2.3011998397, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 0.0015000, 11.2260974062, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10}
local M20={18461.2400600, 1.6279052448, 8433.4661576405,-6.4021295E-05,-4.9499477E-09, 2.0216731E-11, 1010.1671484, 3.9834598170, 16762.1575823656, 8.8291456E-05, 2.4546117E-07,-1.1661223E-09, 999.6936555, 0.7276493275, -104.7747329154, 2.1633405E-04, 2.5536106E-07,-1.2065558E-09, 623.6524746, 8.7690283983, 7109.2881325435,-2.1668263E-06, 6.8896872E-08,-3.2894608E-10,
			199.4837596, 9.6692843156, 15647.5290230993,-2.8252217E-04,-1.9141414E-07, 8.9782646E-10, 166.5741153, 6.4134738261, -1219.4032921817,-1.5447958E-04,-1.8151424E-07, 8.5739300E-10, 117.2606951, 12.0248388879, 23976.2204478244,-1.3020942E-04, 5.8996977E-08,-2.8851262E-10, 61.9119504, 6.3390143893, 25090.8490070907, 2.4060421E-04, 4.9587228E-07,-2.3524614E-09,
			33.3572027, 11.1245829706, 15437.9795572686, 1.5014592E-04, 3.1930799E-07,-1.5152852E-09, 31.7596709, 3.0832038997, 8223.9166918098, 3.6864680E-04, 5.0577218E-07,-2.3928949E-09, 29.5766003, 8.8121540801, 6480.9861772950, 4.9705523E-07, 6.8280480E-08,-2.7450635E-10, 15.5662654, 4.0579192538, -9548.0947169068,-3.0679233E-04,-4.3192536E-07, 2.0437321E-09,
			15.1215543, 14.3803934601, 32304.9118725496, 2.2103334E-05, 3.0940809E-07,-1.4748517E-09, -12.0941511, 8.7259027166, 7737.5900877920,-4.8307078E-06, 6.9513264E-08,-3.8338581E-10, 8.8681426, 9.7124099974, 15019.2270678508,-2.7985829E-04,-1.9203053E-07, 9.5226618E-10, 8.0450400, 0.6687636586, 8399.7091105030,-3.3191993E-05, 3.2017096E-08,-1.5363746E-10,
			7.9585542, 12.0679645696, 23347.9184925760,-1.2754553E-04, 5.8380585E-08,-2.3407289E-10, 7.4345550, 6.4565995078, -1847.7052474301,-1.5181570E-04,-1.8213063E-07, 9.1183272E-10, -6.7314363, -4.0265854988,-16133.8556271171,-9.0955337E-05,-2.4484477E-07, 1.1116826E-09, 6.5795750, 16.8104074692, 14323.3509980023,-2.2066770E-04,-1.1756732E-07, 5.4866364E-10,
			-6.4600721, 1.5847795630, 9061.7681128890,-6.6685176E-05,-4.3335556E-09,-3.4222998E-11, -6.2964773, 4.8837157343, 25300.3984729215,-1.9206388E-04,-1.4849843E-08, 6.0650192E-11, -5.6323538, -0.7707750092, 733.0766881638,-2.1899793E-04,-2.5474467E-07, 1.1521161E-09, -5.3683961, 6.8263720663, 16204.8433027325,-9.7115356E-05, 2.7023515E-08,-1.3414795E-10,
			-5.3112784, 3.9403341353, 17390.4595376141, 8.5627574E-05, 2.4607756E-07,-1.2205621E-09, -5.0759179, 0.6845236457, 523.5272223331, 2.1367016E-04, 2.5597745E-07,-1.2609955E-09, -4.8396143, -1.6710309265, -7805.1642023920, 6.1357413E-05, 5.5663398E-09,-7.4656459E-11, -4.8057401, 3.5705615768, -662.0890125485, 3.0927234E-05, 3.6923410E-08,-1.7458141E-10,
			3.9840545, 8.6945689615, 33419.5404318159, 3.9291696E-04, 7.4628340E-07,-3.5388005E-09, 3.6744619, 19.1659620415, 22652.0424227274,-6.8354947E-05, 1.3284380E-07,-6.3767543E-10, 2.9984815, 20.0662179587, 31190.2833132833,-3.4871029E-04,-1.2746721E-07, 5.8909710E-10, 2.7986413, -2.5281611620,-16971.7070481963, 3.4437664E-04, 2.6526096E-07,-1.2469893E-09,
			2.4138774, 17.7106633865, 22861.5918885581,-5.0102304E-04,-3.7787833E-07, 1.7754362E-09, 2.1863132, 5.5132179088, -9757.6441827375, 1.2587576E-04, 7.8796768E-08,-3.6937954E-10, 2.1461692, 13.4801375428, 23766.6709819937, 3.0245868E-04, 5.6971910E-07,-2.7016242E-09, 1.7659832, 11.1677086523, 14809.6776020201, 1.5280981E-04, 3.1869159E-07,-1.4608454E-09,
			-1.6244212, 7.3137297434, 7318.8375983742,-4.3483492E-04,-4.4182525E-07, 2.0841655E-09, 1.5813036, 5.4387584720, 16552.6081165349, 5.2095955E-04, 7.5618329E-07,-3.5792340E-09, 1.5197528, 16.7359480324, 40633.6032972747, 1.7441609E-04, 5.5981921E-07,-2.6611908E-09, 1.5156341, 1.7023646816,-17876.7861416319,-4.5910508E-04,-6.8233647E-07, 3.2300712E-09,
			1.5102092, 5.4977296450, 8399.6847301375,-3.3094061E-05, 3.1973462E-08,-1.5436468E-10, -1.3178223, 9.6261586339, 16275.8309783478,-2.8518605E-04,-1.9079775E-07, 8.4338673E-10, -1.2642739, 11.9817132061, 24604.5224030729,-1.3287330E-04, 5.9613369E-08,-3.4295235E-10, 1.1918723, 22.4217725310, 39518.9747380084,-1.9639754E-04, 1.2294390E-07,-5.9724197E-10,
			1.1346110, 14.4235191419, 31676.6099173011, 2.4767216E-05, 3.0879170E-07,-1.4204120E-09, 1.0857810, 8.8552797618, 5852.6842220465, 3.1609367E-06, 6.7664088E-08,-2.2006663E-10, -1.0193852, 7.2392703065, 33629.0898976466,-3.9751134E-05, 2.3556127E-07,-1.1256889E-09, -0.8227141, 11.0814572888, 16066.2815125171, 1.4748204E-04, 3.1992438E-07,-1.5697249E-09,
			0.8042238, 3.5274358950, -33.7870573000, 2.8263353E-05, 3.7539802E-08,-2.2902113E-10, 0.8025939, 6.7832463846, 16833.1452579809,-9.9779237E-05, 2.7639907E-08,-1.8858767E-10, -0.7931866, -6.3821400710,-24462.5470518423,-2.4326809E-04,-4.9525589E-07, 2.2980217E-09, -0.7910153, 6.3703481443, -591.1013369332,-1.5714346E-04,-1.8089785E-07, 8.0295327E-10,
			-0.6674056, 9.1819266386, 24533.5347274576, 5.5197395E-05, 2.7743463E-07,-1.3204870E-09, 0.6502226, 4.1010449356,-10176.3966721553,-3.0412845E-04,-4.3254175E-07, 2.0981718E-09, -0.6388131, 6.2958887075, 25719.1509623392, 2.3794032E-04, 4.9648867E-07,-2.4069012E-09}
local M21={0.0743000, 11.9537467337, 6480.9861772950, 4.9705523E-07, 6.8280480E-08,-2.7450635E-10, 0.0304300, 8.7259027166, 7737.5900877920,-4.8307078E-06, 6.9513264E-08,-3.8338581E-10, 0.0222900, 12.8540026510, 15019.2270678508,-2.7985829E-04,-1.9203053E-07, 9.5226618E-10, 0.0199900, 15.2095572232, 23347.9184925760,-1.2754553E-04, 5.8380585E-08,-2.3407289E-10,
			0.0186900, 9.5981921614, -1847.7052474301,-1.5181570E-04,-1.8213063E-07, 9.1183272E-10, 0.0169600, 7.1681781524, 16133.8556271171, 9.0955337E-05, 2.4484477E-07,-1.1116826E-09, 0.0162300, 1.5847795630, 9061.7681128890,-6.6685176E-05,-4.3335556E-09,-3.4222998E-11, 0.0141900, -0.7707750092, 733.0766881638,-2.1899793E-04,-2.5474467E-07, 1.1521161E-09}
local M30={385000.5290396, 1.5707963268, 0.0000000000, 0.0000000E+00, 0.0000000E+00, 0.0000000E+00,-20905.3551378, 3.9263508990, 8328.6914247251, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09,-3699.1109330, 9.6121753977, 7214.0628654588,-2.1850087E-04,-1.8646419E-07, 8.7760973E-10,-2955.9675626, 11.9677299699, 15542.7542901840,-6.6188121E-05, 6.3946925E-08,-3.0872935E-10,
			-569.9251264, 6.2819054713, 16657.3828494503, 3.0462550E-04, 5.0082223E-07,-2.3726782E-09, 246.1584797, 7.2566208254, -1114.6285592663,-3.7081362E-04,-4.3687530E-07, 2.0639488E-09, -204.5861179, 12.0108556517, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, -170.7330791, 14.3232845422, 23871.4457149091, 8.6124629E-05, 3.1435804E-07,-1.4950684E-09,
			-152.1378118, 9.6553010794, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10, -129.6202242, -0.8278839272, -7700.3894694766,-1.5497663E-04,-2.4979472E-07, 1.1318993E-09, 108.7427014, 6.7692631483, 7771.3771450920,-3.3094061E-05, 3.1973462E-08,-1.5436468E-10, 104.7552944, 3.8832252173, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09,
			79.6605685, 0.6705404095, -8538.2408905558, 2.8035534E-04, 2.6031101E-07,-1.2267725E-09, 48.8883284, 1.5276706450, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, -34.7825237, 20.0091090408, 22756.8171556428,-2.8468899E-04,-1.2251727E-07, 5.6888037E-10, 30.8238599, 11.9246042882, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10,
			24.2084985, 9.5690497159, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10, -23.2104305, 8.6374600436, 24986.0742741754, 4.5693825E-04, 7.5123334E-07,-3.5590172E-09, -21.6363439, 17.6535544685, 14428.1257309177,-4.3700174E-04,-3.7292838E-07, 1.7552195E-09, -16.6747239, 6.7261374666, 8399.6791003405,-3.5757942E-05, 3.2589854E-08,-2.0880440E-10,
			14.4026890, 4.9010662531, -9443.3199839914,-5.2312637E-04,-6.8728642E-07, 3.2502879E-09, -12.8314035, 14.3664102239, 23243.1437596606, 8.8788511E-05, 3.1374165E-07,-1.4406287E-09, -11.6499478, 22.3646636130, 31085.5085803679,-1.3237624E-04, 1.2789385E-07,-6.1745870E-10, -10.4447578, 16.6788391144, 32200.1371396342, 2.3843738E-04, 5.6476915E-07,-2.6814075E-09,
			10.3211071, 8.7119194804, -1324.1780250970, 6.1854469E-05, 7.3846820E-08,-3.4916281E-10, 10.0562033, 7.2997465071, -1742.9305145148,-3.6814974E-04,-4.3749170E-07, 2.1183885E-09, -9.8844667, 12.0539813334, 14286.1503796870,-6.0860358E-05, 6.2714140E-08,-1.9984990E-10, 8.7515625, 6.3563649081, -9652.8694498221,-9.0458282E-05,-1.7656429E-07, 8.3717626E-10,
			-8.3791067, 4.4137085761, -557.3142796331,-1.8540681E-04,-2.1843765E-07, 1.0319744E-09, -7.0026961, -3.1834384995,-16029.0808942018,-3.0728938E-04,-5.0020584E-07, 2.3182384E-09, 6.3220032, 9.1248177206, 16100.0685698171, 1.1921869E-04, 2.8238458E-07,-1.3407038E-09, 5.7508579, 6.2387797896, 17285.6848046987, 3.0196162E-04, 5.0143862E-07,-2.4271179E-09,
			-4.9501349, 9.6984267611, 5957.4589549619,-2.1317311E-04,-1.8769697E-07, 9.8648918E-10, -4.4211770, 3.0260949818, -209.5494658307, 4.3266809E-04, 5.1072212E-07,-2.4131116E-09, 4.1311145, 11.0674740526, 7004.5133996281, 2.1416722E-04, 3.2425793E-07,-1.5355019E-09, -3.9579827, 20.0522347225, 22128.5152003943,-2.8202511E-04,-1.2313366E-07, 6.2332010E-10,
			3.2582371, 14.8106422192, 14985.4400105508,-2.5159493E-04,-1.5449073E-07, 7.2324505E-10, -3.1483020, 4.8266068163, 16866.9323152810,-1.2804259E-04,-9.8998954E-09, 4.0433461E-11, 2.6164092, 14.2801588604, 24499.7476701576, 8.3460748E-05, 3.1497443E-07,-1.5495082E-09, 2.3536310, 9.5259240342, 8470.6667759558,-2.2382863E-04,-1.8523141E-07, 7.6873027E-10,
			-2.1171283, -0.8710096090, -7072.0875142282,-1.5764051E-04,-2.4917833E-07, 1.0774596E-09, -1.8970368, 17.6966801503, 13799.8237756692,-4.3433786E-04,-3.7354477E-07, 1.8096592E-09, -1.7385258, 2.0581540038, -8886.0057043583,-3.3771956E-04,-4.6884877E-07, 2.2183135E-09, -1.5713944, 22.4077892948, 30457.2066251194,-1.2971236E-04, 1.2727746E-07,-5.6301898E-10,
			-1.4225541, 24.7202181853, 39414.2000050930, 1.9936508E-05, 3.7830496E-07,-1.8037978E-09, -1.4189284, 17.1661967915, 23314.1314352759,-9.9282182E-05, 9.5920387E-08,-4.6309403E-10, 1.1655364, 3.8400995356, 9585.2953352221, 1.4698499E-04, 2.5164390E-07,-1.2952185E-09, -1.1169371, 10.9930146158, 33314.7656989005, 6.0925100E-04, 1.0016445E-06,-4.7453563E-09,
			1.0656723, 1.4845449633, 1256.6039104970,-5.3277630E-06, 1.2327842E-09,-1.0887946E-10, 1.0586190, 11.9220903668, 8364.7398411275,-2.1850087E-04,-1.8646419E-07, 8.7760973E-10, -0.9333176, 9.0816920389, 16728.3705250656, 1.1655481E-04, 2.8300097E-07,-1.3951435E-09, 0.8624328, 12.4550876470, 6656.7485858257,-4.0390768E-04,-4.0490184E-07, 1.9095841E-09,
			0.8512404, 4.3705828944, 70.9876756153,-1.8807069E-04,-2.1782126E-07, 9.7753467E-10, -0.8488018, 16.7219647962, 31571.8351843857, 2.4110126E-04, 5.6415276E-07,-2.6269678E-09, -0.7956264, 3.5134526588, -9095.5551701890, 9.4948529E-05, 4.1873358E-08,-1.9479814E-10}
local M31={0.5139500, 12.0108556517, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, 0.3824500, 9.6553010794, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10, 0.3265400, 3.9694765808, 7700.3894694766, 1.5497663E-04, 2.4979472E-07,-1.1318993E-09, 0.2639600, 0.7416325637, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09,
			0.1230200, -1.6139220085, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, 0.0775400, 8.7830116346, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10, 0.0606800, 6.4274570623, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10, 0.0497000, 12.0539813334, 14286.1503796870,-6.0860358E-05, 6.2714140E-08,-1.9984990E-10}
--月球平黄经系数
local M1n={3.81034392032, 8.39968473021E+03,-3.31919929753E-05,3.20170955005E-08,-1.53637455544E-10 }

--==================日位置计算===================
--调用Enn前先设置EnnT时间变量
local EnnT=0
--计算E10,E11,E20等,即:某一组周期项或泊松项算出,计算前先设置EnnT时间
local function Enn(F)
	local i
	local v=0
	for i=1,#F,3 do
		v=v+F[i]*math.cos(F[i+1]+EnnT*F[i+2])
		--print('Fsize='..#F, 'i='..i, 'v='..v, 'F[i]='..F[i], 'm='..math.cos(F[i+1]+EnnT*F[i+2]))
	end
	return v
end

--返回地球位置,日心Date黄道分点坐标
local function earCal(jd)
	EnnT=jd/365250
	--print('EnnT='..EnnT)
	local llr={}
	local t1=EnnT
	local t2=t1*t1
	local t3=t2*t1
	local t4=t3*t1
	local t5=t4*t1
	--print('t1='..t1, 't2='..t2, 't3='..t3, 't4='..t4, 't5='..t5)
	llr[1] =Enn(E10) +Enn(E11)*t1 +Enn(E12)*t2 +Enn(E13)*t3 +Enn(E14)*t4 +Enn(E15)*t5
	--print('sppp')
	llr[2] =Enn(E20) +Enn(E21)*t1
	--print('eppp')
	llr[3] =Enn(E30) +Enn(E31)*t1 +Enn(E32)*t2 +Enn(E33)*t3
	llr[1]=rad2mrad(llr[1])
	--print('llr[0]='..llr[1], 'llr[1]='..llr[2], 'llr[2]='..llr[3])
	return llr
end

--传回jd时刻太阳的地心视黄经及黄纬
local function sunCal2(jd)
	--计算太阳真位置
	local sun=earCal(jd)
	sun[1]=sun[1] + math.pi
	sun[2]=-sun[2]
	local d=nutation(jd)
	--补章动
	sun[1]=rad2mrad(sun[1]+d.Lon)
	--补周年黄经光行差
	addGxc(jd,sun)
	--返回太阳视位置
	return sun
end

--==================月位置计算===================
--调用Mnn前先设置MnnT时间变量
local MnnT=0
--计算M10,M11,M20等,计算前先设置MnnT时间
local function Mnn(F)
	local i
	local v=0
	local t1=MnnT
	local t2=t1*t1
	local t3=t2*t1
	local t4=t3*t1
	for i=1,#F,6 do
		v=v+F[i]*math.sin(F[i+1] +t1*F[i+2] +t2*F[i+3] +t3*F[i+4] +t4*F[i+5])
	end
	return v
end

--返回月球位置,返回地心Date黄道坐标
local function moonCal(jd)
	MnnT=jd/36525
	local t1=MnnT
	local t2=t1*t1
	local t3=t2*t1
	local t4=t3*t1
	local llr={}
	llr[1] =(Mnn(M10) +Mnn(M11)*t1 +Mnn(M12)*t2)/rad
	llr[2] =(Mnn(M20) +Mnn(M21)*t1)/rad
	llr[3] =(Mnn(M30) +Mnn(M31)*t1)*0.999999949827
	llr[1] =llr[1] +M1n[1] +M1n[2]*t1 +M1n[3]*t2 +M1n[4]*t3 +M1n[5]*t4
	--地心Date黄道原点坐标(不含岁差)
	llr[1] =rad2mrad(llr[1])
	--补岁差
	addPrece(jd,llr)
	return llr
end

--传回月球的地心视黄经及视黄纬
local function moonCal2(jd)
	local moon=moonCal(jd)
	local d=nutation(jd)
	--补章动
	moon[1]=rad2mrad(moon[1]+d.Lon)
	return moon
end

--传回月球的地心视赤经及视赤纬
local function moonCal3(jd)
	local moon=moonCal(jd)
	HCconv(moon,hcjj1(jd))
	--补赤经及赤纬章动
	nutationRaDec(jd,moon)
	--如果黄赤转换前补了黄经章动及交章动,就不能再补赤经赤纬章动
	return moon
end

--==================地心坐标中的日月位置计算===================
local function jiaoCai(lx,t,jiao)
	--lx=1时计算t时刻日月角距与jiao的差, lx=0计算t时刻太阳黄经与jiao的差
	--计算太阳真位置(先算出日心坐标中地球的位置)
	local sun=earCal(t)
	--转为地心坐标
	sun[1]=sun[1] + math.pi
	sun[2]=-sun[2]
	--补周年光行差
	addGxc(t,sun)
	--print('sun[1]='..sun[1], 'sun[2]='..sun[2])
	if lx==0 then
		--补黄经章动
		local d=nutation(t)
		sun[1]=sun[1] + d.Lon
		return rad2mrad(jiao-sun[1])
	else
		--日月角差与章动无关
		local moon=moonCal(t)
		return rad2mrad(jiao-(moon[1]-sun[1]))
	end
end

--==================已知位置反求时间===================
local function jiaoCal(t1,jiao,lx) 
	--t1是J2000起算儒略日数
	--已知角度(jiao)求时间(t)
	--lx=0是太阳黄经达某角度的时刻计算(用于节气计算)
	--lx=1是日月角距达某角度的时刻计算(用于定朔望等)
	--传入的t1是指定角度对应真时刻t的前一些天
	--对于节气计算,应满足t在t1到t1+360天之间,对于Y年第n个节气(n=0是春分),t1可取值Y*365.2422+n*15.2
	--对于朔望计算,应满足t在t1到t1+25天之间,在此范围之外,求右边的根
	local t2=t1
	local t=0
	local v
	if lx==0 then
		--在t1到t2范围内求解(范气360天范围),结果置于t
		t2=t2+360
	else
		t2=t2+25
	end
	--待搜索目标角
	jiao=jiao*math.pi/180
	--利用截弦法计算
	--v1,v2为t1,t2时对应的黄经
	local v1=jiaoCai(lx,t1,jiao)
	local v2=jiaoCai(lx,t2,jiao)
	if v1<v2 then
		--减2pi作用是将周期性角度转为连续角度
		v2=v2 - 2*math.pi
	end
	--k是截弦的斜率
	local k=1
	local k2
	local i
	--快速截弦求根,通常截弦三四次就已达所需精度
	for i=1,10 do
		--算出斜率
		k2=(v2-v1)/(t2-t1)
		if math.abs(k2)>1e-15 then
			--差商可能为零,应排除
			k=k2
		end
		--直线逼近法求根(直线方程的根)
		t=t1-v1/k
		v=jiaoCai(lx,t,jiao)
		--一次逼近后,v1就已接近0,如果很大,则应减1周
		if v>1 then
			v=v-2*math.pi
		end
		if math.abs(v)<1e-8 then
			--已达精度
			break
		end
		--下一次截弦
		t1=t2
		v1=v2
		t2=t
		v2=v
	end
	
	return t
end

--==================节气计算===================

--返回一年中各个节气的时间表，从春分开始，y是阳历的年分/北京时
local function jqFromChunFen(y)
	local i
	local jd=365.2422*(y-2000)
	local q
	local jq = {}
	for i=0,23 do
		--计算第i个节气(i=0是春分),结果转为北京时
		q=jiaoCal(jd+i*15.2,i*15,0)+J2000+8/24
		--将节气时转成世界时
		JDate:setFromJD(q,1)
		jq[i+1] = JDate:JQ()
	end
	return jq
end

--返回一年的二十四个节气,从立春开始，y是阳历的年分/北京时
local function jqFromLiChun(y)
	--上一年
	local jq1 = jqFromChunFen(y-1)
	-- 当年
	local jq2 = jqFromChunFen(y)
	local jq = {}
	for i=1,3 do
		jq[i] = jq1[i+21]
	end
	for i=1,21 do
		jq[i+3] = jq2[i]
	end
	
	return jq
end

--==================节气暂存，用于快速查询===================
--初始化当前年份前后三年内的节气数据
local function jq3Y_Build()
	--取日期：20230508
	local date_YYYYMMDD = os.date("%Y%m%d")
	--取年: 2023
	local date_y=os.date("%Y")
	--取月: 05
	local date_m=os.date("%m")
	--取日: 08
	local date_d=os.date("%d")
	
	local jq_lastYear = jqFromChunFen(date_y-1)
	local jq_thisYear = jqFromChunFen(date_y)
	local jq_nextYear = jqFromChunFen(date_y+1)
	local i
	for i=1,24 do
		jq3Y[i] = jq_lastYear[i]
		jqN3Y[i] = jqB[i]
	end
	for i=1,24 do
		jq3Y[24+i] = jq_thisYear[i]
		jqN3Y[24+i] = jqB[i]
	end
	for i=1,24 do
		jq3Y[48+i] = jq_nextYear[i]
		jqN3Y[48+i] = jqB[i]
	end
end

-- 以 jbB 为 base，创建jqIdx查询字典，用于快速查询某一给定的节气在jqB中的索引位置
local jqIdxDic={}
local function jqIdxBuild()
	local idx
	for idx=1,#jqB do
		jqIdxDic[jqB[idx]] = idx
	end
end

--根据指定的时间基准，获取此时间之后的jq信息，返回两个table：timeList, nameList
local function jqComming(t)
	local timeList = {}
	local nameList = {}
	
	t = t or os.time()
	local tBase = os.time()
	if type(t) == type(tBase) then
		tBase = t
	end
	
	tBase = os.time()
	local tBaseStruct = os.date('!*t',tBase)
	if tBase>43200 then
		--校准tBase到00:00:00
		tBase = os.time({year=tBaseStruct.year,month=tBaseStruct.month,day=tBaseStruct.day,hour=0})
	end
	
	local idx
	for idx=1,#jq3Y do
		if jq3Y[idx]>=tBase then
			table.insert(timeList,jq3Y[idx])
			table.insert(nameList,jqN3Y[idx])
		end
	end
	
	return timeList,nameList
end

--获取给定的节气名称在 jbB中的索引位置，这个主要用于查询某个关键字是否是一个节气名称
local function jqIdxByName(jqName)
	return jqIdxDic[jqName] or 0
end

--根据给定的一个时间戳，查询这天是否存在节气
local function jqInfoByTime(t)
	t = t or os.time()
	local thisDay = os.date("%Y%m%d",t)
	local idx = 1
	for idx=1,#jq3Y do
		if thisDay == os.date("%Y%m%d",jq3Y[idx]) then
			return jq3Y[idx],jqN3Y[idx]
		end
	end
	return 0,''
end

--这个函数将建立节气列表，用于节气信息的查询
local function jqListBuild()
	jq3Y_Build()
	jqIdxBuild()
end

local function test(printPrefix)
	if nil == printPrefix then
		printPrefix = ''
	end
	
	--调用引用模块的 test 方法
	
	--开始本模块的 test 方法
	print(printPrefix..'test in lunarJieQiModule start')
	
end

--=========================模块化封装=========================
local M={}
function M.init(...)
	--抛出功能函数
	M.jqListBuild = jqListBuild
	M.jqFromChunFen = jqFromChunFen
	M.jqComming = jqComming
	M.jqIdxByName = jqIdxByName
	M.jqInfoByTime = jqInfoByTime
	
	M.setDbg = setDbg
	M.test = test
end

M.init()

return M