public override Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
var X = pos.X; var Y = pos.Y; var Z = pos.Z;
var R = DecimalMath.Sqrt(X * X + Y * Y + Z * Z);
var lambda = DecimalMath.Atan2(Y, X);
var sinLambda = DecimalMath.Sin(lambda);
var cosLambda = DecimalMath.Cos(lambda);
var beta = DecimalMath.Asin(Z / R);
var tanBeta = DecimalMath.Tan(beta);
var sinBeta = DecimalMath.Sin(beta);
var cosBeta = DecimalMath.Cos(beta);
var tilt = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var cosTilt = DecimalMath.Cos(tilt);
var sinTilt = DecimalMath.Sin(tilt);
var RA = DecimalMath.Atan2(sinLambda * cosTilt - tanBeta * sinTilt, cosLambda) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Asin(sinBeta * cosTilt + cosBeta * sinTilt * sinLambda) * DecimalMath.RadToDeg;
RA = CommonCalculations.From0To360(RA);
#if DEBUG
Console.WriteLine($"R = {R} lambda = {lambda}, beta = {beta}, tilt = {tilt}, RA = {RA}, dec = {Dec}");
#endif
return(new Vector2 <decimal>(RA, Dec));
}
public Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var DegToRad = DecimalMath.DegToRad;
var d = JulianDateCalculator.ToJulianDaysJ2000(date);
var L = FL(d); var Lrad = L * DegToRad;
var M = FMMoon(d); var Mrad = M * DegToRad;
var F = FF(d); var Frad = F * DegToRad;
var lambda = (L + 6.289M * DecimalMath.Sin(Mrad)) * DegToRad;
var beta = (5.128m * DecimalMath.Sin(Frad)) * DegToRad;
var tilt = CommonCalculations.GetAxialTilt(date) * DegToRad;
var sinLambda = DecimalMath.Sin(lambda);
var cosLambda = DecimalMath.Cos(lambda);
var sinBeta = DecimalMath.Sin(beta);
var cosBeta = DecimalMath.Cos(beta);
var tanBeta = DecimalMath.Tan(beta);
var sinTilt = DecimalMath.Sin(tilt);
var cosTilt = DecimalMath.Cos(tilt);
var RA = DecimalMath.Atan2(sinLambda * cosTilt - tanBeta * sinTilt, cosLambda) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Asin(sinBeta * cosTilt + cosBeta * sinTilt * sinLambda) * DecimalMath.RadToDeg;
return(new Vector2 <decimal>(CommonCalculations.From0To360(RA), Dec));
}
public override Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
#if DEBUG
Console.WriteLine($"Sun ecliptic position: X={pos.X} Y={pos.Y} Z={pos.Z}");
#endif
var tiltRad = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var Xe = pos.X;
var Ye = pos.Y * DecimalMath.Cos(tiltRad);
var Ze = pos.Y * DecimalMath.Sin(tiltRad);
#if DEBUG
Console.WriteLine($"Sun equatorial position: X={Xe} Y={Ye} Z={Ze} with tilt {tiltRad}");
#endif
var RA = DecimalMath.Atan2(Ye, Xe) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Atan2(Ze, DecimalMath.Sqrt(Xe * Xe + Ye * Ye)) * DecimalMath.RadToDeg;
#if DEBUG
Console.WriteLine($"Sun RA = {RA} Dec={Dec}");
#endif
return(new Vector2 <decimal>(CommonCalculations.From0To360(RA), Dec));
}
public void SinOne()
{
decimal expected = 1.0M;
decimal actual = DecimalMath.PI / 2.0M;
actual = DecimalMath.Sin(actual);
Assert.AreEqual <decimal>(expected, actual);
}
public void SinZero()
{
decimal expected = 0.0M;
decimal actual = DecimalMath.PI;
actual = DecimalMath.Sin(actual);
Assert.AreEqual <decimal>(expected, actual);
}
public static decimal GetAscendant(double longi, double lat, DateTime dateTime, bool isVedic = true)
{
var Pi = DecimalMath.Pi;
var DegToRad = Pi / 180;
var longitude = Convert.ToDecimal(-longi); // East should be positive, West negative
var latitudeRad = Convert.ToDecimal(lat) * DegToRad;
var tilt = CommonCalculations.GetAxialTilt(dateTime);
var tiltRad = tilt * DegToRad;
#if DEBUG
Console.WriteLine($"tilt: {tilt}");
#endif
var siderealTime = SiderealTime.Calculate(longitude, dateTime);
var siderealTimeRad = siderealTime * DegToRad;
#if DEBUG
Console.WriteLine($"sidereal Time: {siderealTime}");
#endif
var y = -DecimalMath.Cos(siderealTimeRad);
#if DEBUG
Console.WriteLine($"y :{y}");
Console.WriteLine(
$"sin(RAMC) = {DecimalMath.Sin(siderealTimeRad)}" +
$"\ncos(TILT) = {DecimalMath.Cos(tiltRad)}" +
$"\ntan(LAT) = {DecimalMath.Tan(latitudeRad)}" +
$"\nsin(TILT) = {DecimalMath.Sin(tiltRad)}");
#endif
var x = DecimalMath.Sin(siderealTimeRad) * DecimalMath.Cos(tiltRad)
+ DecimalMath.Tan(latitudeRad) * DecimalMath.Sin(tiltRad);
#if DEBUG
Console.WriteLine($"x :{x}");
Console.WriteLine($"Decimal y/x: {y / x}");
Console.WriteLine($"Atan(y/x): {DecimalMath.ATan(y / x)}");
#endif
var output = DecimalMath.ATan(y / x) * 180 / Pi;
if (output < 0)
{
output += 180;
}
if (siderealTimeRad > Pi / 2 && siderealTimeRad < 3 * Pi / 2)
{
output += 180;
output %= 360;
}
#if DEBUG
Console.WriteLine($"output before applying sidereal diff{output}");
#endif
return(output);
}
private Vector3 <decimal> EclipticSunXYZ(DateTime date)
{
var days = JulianDateCalculator.ToJulianDaysJ2000(date);
SetTrigonometry(days);
var S = FS(days);
var P = FP(days);
var lonecl = 238.9508m + 0.00400703m * days
- 19.799m * sinP + 19.848m * cosP
+ 0.897m * sin2P - 4.956m * cos2P
+ 0.610m * sin3P + 1.211m * cos3P
- 0.341m * sin4P - 0.190m * cos4P
+ 0.128m * sin5P - 0.034m * cos5P
- 0.038m * sin6P + 0.031m * cos6P
+ 0.020m * sinS_P - 0.010m * cosS_P;
var latecl = -3.9082m
- 5.453m * sinP - 14.975m * cosP
+ 3.527m * sin2P + 1.673m * cos2P
- 1.051m * sin3P + 0.328m * cos3P
+ 0.179m * sin4P - 0.292m * cos4P
+ 0.019m * sin5P + 0.100m * cos5P
- 0.031m * sin6P - 0.026m * cos6P
+ 0.011m * cosS_P;
var r = 40.72m
+ 6.68m * sinP + 6.90m * cosP
- 1.18m * sin2P - 0.03m * cos2P
+ 0.15m * sin3P - 0.14m * cos3P;
#if DEBUG
Console.WriteLine($"Pluto lonecl = {lonecl}, latecl = {latecl}, r = {r}");
#endif
var sinlon = DecimalMath.Sin(lonecl * DecimalMath.DegToRad);
var coslon = DecimalMath.Cos(lonecl * DecimalMath.DegToRad);
var sinlat = DecimalMath.Sin(latecl * DecimalMath.DegToRad);
var coslat = DecimalMath.Cos(latecl * DecimalMath.DegToRad);
var xe = r * coslon * coslat;
var ye = r * sinlon * coslat;
var ze = r * sinlat;
#if DEBUG
Console.WriteLine($"Pluto ecliptic Sun Xe= {xe}, Ye = {ye}, Ze = {ze}");
#endif
return(new Vector3 <decimal>(xe, ye, ze));
}
public Vector2 <decimal> EclipticCoordinates(DateTime date)
{
var DegToRad = DecimalMath.DegToRad;
var T = JulianDateCalculator.ToJulianCenturiesJ2000(date);
var L = CommonCalculations.From0To360(FL(T));
var M = CommonCalculations.From0To360(FMMoon(T)); var Mrad = M * DegToRad;
var F = CommonCalculations.From0To360(FF(T)); var Frad = F * DegToRad;
var lambda = CommonCalculations.From0To360(L + 1e-6M * CalculateSumLongitude(date));
var beta = (5.128m * DecimalMath.Sin(Frad));
#if DEBUG
Console.WriteLine($"Julian centuries passed: {T}, L = {L}, M = {M}, F = {F}");
Console.WriteLine($"Lambda: {lambda}, Beta : {beta}");
#endif
return(new Vector2 <decimal>(lambda, beta));
}
public static decimal CalculateSumLongitude(DateTime date)
{
var T = JulianDateCalculator.ToJulianCenturiesJ2000(date);
var sum = AL(T);
foreach (var term in terms)
{
var e = Fe(T, term.m);
var sinFs = DecimalMath.Sin(Fs(T, term));
var component = e * term.S * sinFs;
sum += component;
#if DEBUG
Console.WriteLine($"Component no{term.no}\t{component}\te {e} \tLCoeff\t{e * term.S}\tSinFs{sinFs}");
#endif
}
#if DEBUG
Console.WriteLine($"Sum SIGMA_L = {sum}");
#endif
return(sum);
}
private void SetTrigonometry(decimal days)
{
var S = FS(days) * DecimalMath.DegToRad;
var P = FP(days) * DecimalMath.DegToRad;
sinP = DecimalMath.Sin(P);
sin2P = DecimalMath.Sin(2 * P);
sin3P = DecimalMath.Sin(3 * P);
sin4P = DecimalMath.Sin(4 * P);
sin5P = DecimalMath.Sin(5 * P);
sin6P = DecimalMath.Sin(6 * P);
sinS_P = DecimalMath.Sin(S - P);
cosP = DecimalMath.Cos(P);
cos2P = DecimalMath.Cos(2 * P);
cos3P = DecimalMath.Cos(3 * P);
cos4P = DecimalMath.Cos(4 * P);
cos5P = DecimalMath.Cos(5 * P);
cos6P = DecimalMath.Cos(6 * P);
cosS_P = DecimalMath.Cos(S - P);
}
public Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var tilt = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var sintilt = DecimalMath.Sin(tilt);
var costilt = DecimalMath.Cos(tilt);
var pos = EclipticEarthXYZ(date);
var xe = pos.X;
var ye = pos.Y * costilt - pos.Z * sintilt;
var ze = pos.Y * sintilt - pos.Z * costilt;
#if DEBUG
Console.WriteLine($"Pluto equatorial X= {xe}, Y = {ye}, Z = {ze}");
#endif
var RA = DecimalMath.Atan2(ye, xe) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Atan2(ze, DecimalMath.Sqrt(xe * xe, ye * ye)) * DecimalMath.RadToDeg;
#if DEBUG
Console.WriteLine($"Pluto Ra= {RA}, DEC = {Dec}");
#endif
return(new Vector2 <decimal>(CommonCalculations.From0To360(RA), Dec));
}
public void Sin(decimal degrees)
{
DecimalMath.Sin(degrees);
}
public override Vector3 <decimal> EclipticSun3D(DateTime date)
{
var degToRad = DecimalMath.Pi / 180;
var days = JulianDateCalculator.ToJulianDaysJ2000(date);
var M = MeanAnomaly(days);
var MRad = M * degToRad;
var e = Eccentricity(days);
#if DEBUG
Console.WriteLine($"Days = {days} Mean Anomaly={M} Eccentricity = {e}");
#endif
var sinM = DecimalMath.Sin(MRad);
var sin2M = DecimalMath.Sin(2 * MRad);
var sin3M = DecimalMath.Sin(3 * MRad);
var sin4M = DecimalMath.Sin(4 * MRad);
var sin5M = DecimalMath.Sin(5 * MRad);
var sin6M = DecimalMath.Sin(6 * MRad);
var e2 = DecimalMath.Power(e, 2);
var e3 = DecimalMath.Power(e, 3);
var e4 = DecimalMath.Power(e, 4);
var e5 = DecimalMath.Power(e, 5);
var e6 = DecimalMath.Power(e, 6);
var eccentricAnomalyRad =
MRad
+ e * sinM
+ e2 * 0.5m * sin2M
+ e3 * (0.375m * sin3M - 0.125m * sinM)
+ e4 * (-(1m / 6m) * sin2M + (1m / 3m) * sin4M)
+ e5 * (-(27m / 128m) * sin3M + (1m / 192m) * sinM + (125m / 384m) * sin5M)
+ e6 * ((1m / 48m) * sin2M + (27 / 80) * sin6M - (4 / 15) * sin4M);
#if DEBUG
Console.WriteLine($"Eccentric Anomaly {eccentricAnomalyRad * DecimalMath.RadToDeg}");
#endif
// Calculate true anomaly
var A = SemimajorAxis(days);
var Xv = A * (DecimalMath.Cos(eccentricAnomalyRad) - e);
var Yv = A * DecimalMath.Sqrt(1.0m - e * e) * DecimalMath.Sin(eccentricAnomalyRad);
var v = DecimalMath.Atan2(Yv, Xv);
var r = DecimalMath.Sqrt(Xv * Xv + Yv * Yv);
//Calculate Heliocentric coordinates
var N = LongAscedingNode(days) * degToRad;
var cosN = DecimalMath.Cos(N);
var sinN = DecimalMath.Sin(N);
var i = Inclination(days) * degToRad;
var cosi = DecimalMath.Cos(i);
var sini = DecimalMath.Sin(i);
var w = Peryhelion(days) * degToRad;
var cosVW = DecimalMath.Cos(v + w);
var sinVW = DecimalMath.Sin(v + w);
#if DEBUG
Console.WriteLine($"LongAscNode : {LongAscedingNode(days)}, Inclination : {Inclination(days)}");
Console.WriteLine($"Peryhelion: {Peryhelion(days)} true anomaly : {DecimalMath.Atan2(Yv, Xv) * DecimalMath.RadToDeg}");
#endif
var Xh = r * (cosN * cosVW - sinN * sinVW * cosi);
var Yh = r * (sinN * cosVW + cosN * sinVW * cosi);
var Zh = r * (sinVW * sini);
#if DEBUG
Console.WriteLine($"{Name} heliocentric coordinates {Xh} {Yh} {Zh}");
#endif
return(new Vector3 <decimal>(Xh, Yh, Zh));
}
public decimal calculate(Queue <string> polska, decimal x)
{
decimal answer = 0;
Stack <decimal> opers = new Stack <decimal>();
foreach (string s in polska)
{
if (standartOperators.Contains(s))
{
decimal a;
decimal b;
switch (s)
{
case "+":
opers.Push(opers.Pop() + opers.Pop());
break;
case "-":
b = opers.Pop();
a = opers.Pop();
opers.Push(a - b);
break;
case "*":
opers.Push(opers.Pop() * opers.Pop());
break;
case "/":
b = opers.Pop();
a = opers.Pop();
opers.Push(a / b);
break;
case "^":
b = opers.Pop();
a = opers.Pop();
opers.Push(DecimalMath.Pow(a, b));
break;
case "%":
b = opers.Pop();
a = opers.Pop();
opers.Push(a % b);
break;
case "sqrt":
opers.Push(DecimalMath.Sqrt(opers.Pop()));
break;
case "sin":
opers.Push(DecimalMath.Sin(opers.Pop()));
break;
case "cos":
opers.Push(DecimalMath.Cos(opers.Pop()));
break;
case "tan":
opers.Push(DecimalMath.Tan(opers.Pop()));
break;
case "atan":
opers.Push(DecimalMath.Atan(opers.Pop()));
break;
case "acos":
opers.Push(DecimalMath.Acos(opers.Pop()));
break;
case "asin":
opers.Push(DecimalMath.Asin(opers.Pop()));
break;
case "acotan":
opers.Push(DecimalMath.Atan(1 / opers.Pop()));
break;
case "exp":
opers.Push(DecimalMath.Exp(opers.Pop()));
break;
case "log":
opers.Push(DecimalMath.Log(opers.Pop()));
break;
case "ln":
opers.Push(DecimalMath.Log10(opers.Pop()));
break;
case "sinh":
opers.Push(DecimalMath.Sinh(opers.Pop()));
break;
case "cosh":
opers.Push(DecimalMath.Cosh(opers.Pop()));
break;
case "tanh":
opers.Push(DecimalMath.Tanh(opers.Pop()));
break;
case "abs":
opers.Push(DecimalMath.Abs(opers.Pop()));
break;
case "ceil":
opers.Push(DecimalMath.Ceiling(opers.Pop()));
break;
case "floor":
opers.Push(DecimalMath.Floor(opers.Pop()));
break;
case "fac":
opers.Push(factorial(opers.Pop()));
break;
case "sfac":
opers.Push(semifactorial(opers.Pop()));
break;
case "round":
opers.Push(DecimalMath.Round(opers.Pop()));
break;
case "fpart":
a = opers.Pop();
opers.Push(a - DecimalMath.Truncate(a));
break;
}
}
else if (s == "x")
{
opers.Push(x);
}
else
{
opers.Push(decimal.Parse(s));
}
}
answer = opers.Pop();
return(answer);
}