/// <inheritdoc/>
public bool TryCompile(IReadOnlyList <MathExpression> arguments, ICompilationContext <object?> context, ITypeHintHandler typeHintHandler, [MaybeNullWhen(false)] out Expression expr)
{
if (arguments.Count != 1)
{
expr = null;
return(false);
}
var argExpr = context.Transform(arguments.First());
if (argExpr.Type == typeof(float) || argExpr.Type == typeof(double))
{ // if this is a floating point
var method = Helpers.GetMethod <Action <double> >(d => Math.Log(d)) !;
expr = Expression.Call(method, CompilerHelpers.ConvertToType(argExpr, typeof(double)));
return(true);
}
else if (CompilerHelpers.IsFloating(argExpr.Type) || CompilerHelpers.IsIntegral(argExpr.Type))
{ // if this is a built-in integer or decimal
var method = Helpers.GetMethod <Action <decimal> >(d => DecimalMath.Ln(d)) !;
expr = Expression.Call(method, CompilerHelpers.ConvertToType(argExpr, typeof(decimal)));
return(true);
}
expr = null;
return(false);
}
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 PowNegativeDecimal()
{
const decimal expected = 0.5380018430410047863745228634M;
decimal actual = DecimalMath.Pow(1.2M, -3.4M);
Assert.AreEqual <decimal>(expected, actual);
}
public void FloatingPower(decimal bas, decimal exp, decimal expect, decimal error)
{
var actual = DecimalMath.Pow(bas, exp);
var actualError = Math.Abs(expect - actual);
Assert.True(error >= actualError, $"Error of {actualError}, expected no more than error of {error}");
}
public void PowDecimal()
{
const decimal expected = 1.8587296919794811670420219951M;
decimal actual = DecimalMath.Pow(1.2M, 3.4M);
Assert.AreEqual <decimal>(expected, actual);
}
public void NaturalLog(decimal arg, decimal expect, decimal error)
{
var actual = DecimalMath.Ln(arg);
var actualError = Math.Abs(expect - actual);
Assert.True(error >= actualError, $"Error of {actualError}, expected no more than error of {error}");
}
public override Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
var X = pos.X; var Y = pos.Y; var Z = pos.Z;
var R = DecimalMath.Sqrt(X * X + Y * Y + Z * Z);
var lambda = DecimalMath.Atan2(Y, X);
var sinLambda = DecimalMath.Sin(lambda);
var cosLambda = DecimalMath.Cos(lambda);
var beta = DecimalMath.Asin(Z / R);
var tanBeta = DecimalMath.Tan(beta);
var sinBeta = DecimalMath.Sin(beta);
var cosBeta = DecimalMath.Cos(beta);
var tilt = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var cosTilt = DecimalMath.Cos(tilt);
var sinTilt = DecimalMath.Sin(tilt);
var RA = DecimalMath.Atan2(sinLambda * cosTilt - tanBeta * sinTilt, cosLambda) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Asin(sinBeta * cosTilt + cosBeta * sinTilt * sinLambda) * DecimalMath.RadToDeg;
RA = CommonCalculations.From0To360(RA);
#if DEBUG
Console.WriteLine($"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 void CosZero()
{
decimal expected = 0.0M;
decimal actual = DecimalMath.PI / 2.0M;
actual = DecimalMath.Cos(actual);
Assert.AreEqual <decimal>(expected, actual);
}
public void Root()
{
const decimal expected = 100.0M;
decimal actual = expected * expected * expected;
actual = DecimalMath.Root(actual, 3);
Assert.AreEqual <decimal>(expected, actual);
}
public void Sqrt()
{
const decimal expected = 9.0M;
decimal actual = 81.0M;
actual = DecimalMath.Sqrt(actual);
Assert.AreEqual <decimal>(expected, actual);
}
public void PowNegativeInt()
{
const decimal expected = 0.012345679012345679012345679M;
decimal actual = 9.0M;
actual = DecimalMath.Pow(actual, -2);
Assert.AreEqual <decimal>(expected, actual);
}
public void PowInt()
{
const decimal expected = 81.0M;
decimal actual = 9.0M;
actual = DecimalMath.Pow(actual, 2);
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 void SinOne()
{
decimal expected = 1.0M;
decimal actual = DecimalMath.PI / 2.0M;
actual = DecimalMath.Sin(actual);
Assert.AreEqual <decimal>(expected, actual);
}
public void CosNegative()
{
decimal expected = -1.0M;
decimal actual = DecimalMath.PI;
actual = DecimalMath.Cos(actual);
Assert.AreEqual <decimal>(expected, actual);
}
public override Vector2 <decimal> EclipticCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
var lon = DecimalMath.Atan2(pos.Y, pos.X) * DecimalMath.RadToDeg;
var lat = DecimalMath.Asin(pos.Z / DecimalMath.Sqrt(pos.X * pos.X + pos.Y * pos.Y + pos.Z * pos.Z)) * DecimalMath.RadToDeg;
return(new Vector2 <decimal>(CommonCalculations.From0To360(lon), lat));
}
public decimal GetValue(decimal from0To1)
{
if (from0To1 < eps)
{
return(0m);
}
return(DecimalMath.Sqrt(from0To1));
}
// Wolfram command
// plot 23.439291111111 - 0.0130041666667*t - 1.63888888889e-07*t^2 + 5.959274797e-09*t^3 t from -1 to 1
// where t is fraction of Julian Century passed from J2000
/// <summary>
/// Get current axial tilt (epsilon) based on date.
/// Value of 23.4 degrees is slowly decreasing.
/// </summary>
/// <param name="dateTime"></param>
/// <returns></returns>
public static decimal GetAxialTilt(DateTime dateTime)
{
var julianCenturies = JulianDateCalculator.ToJulianCenturiesJ2000(dateTime);
return(t0
+ t1 * julianCenturies
+ t2 * DecimalMath.Power(julianCenturies, 2)
+ t3 * DecimalMath.Power(julianCenturies, 3));
}
public override Vector2 <decimal> ApparentEclipticEarth(DateTime date)
{
var pos = ApparentEclipticEarth3D(date);
var lon = DecimalMath.Atan2(pos.Y, pos.X) * DecimalMath.RadToDeg;
var lat = DecimalMath.Asin(pos.Z / DecimalMath.Sqrt(pos.X * pos.X + pos.Y * pos.Y + pos.Z * pos.Z)) * DecimalMath.RadToDeg;
lon = CommonCalculations.From0To360(lon);
lat = CommonCalculations.From0To360(lat);
return(new Vector2 <decimal>(lon, lat));
}
public void TanSqrt3()
{
const decimal THREE = 3.0M;
decimal expected = DecimalMath.Sqrt(THREE);
decimal actual = DecimalMath.PI / THREE;
actual = DecimalMath.Tan(actual);
expected = Math.Round(expected, 22); //1.7320508075688772935274463415
actual = Math.Round(actual, 22); //1.7320508075688772935274463414
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($"output before applying sidereal diff{output}");
#endif
return(output);
}
/// <summary>
/// Berechnung des Abschreibungs- und Restbuchwertes (<see cref="CalculationResult"/>) für das Abschreibungsjahr (<paramref name="period"/>).
/// </summary>
/// <param name="data">Die grundlegenden Daten für die Abschreibungsberechnung</param>
/// <param name="period">Das Abschreibungsjahr für das die Daten errechnet werden sollen.</param>
/// <returns>Die errechneten Abschreibungs- und Restbuchwerte</returns>
public CalculationResult CalculateDepreciation(CalculationData data, int period)
{
if (period < 1 || period > data.DepreciationRange)
{
throw new ArgumentOutOfRangeException(nameof(period), "The period must be greater than 0 and less than the value of depreciationRange.");
}
var factor = CalculateFactor(data);
var factorForOldValue = DecimalMath.Pow(factor, period - 1);
var oldValue = data.AcquisitionValue * factorForOldValue;
var remainingValue = factor * oldValue;
var depreciation = oldValue - remainingValue;
return(new CalculationResult(period, depreciation, remainingValue));
}
private Vector3 <decimal> EclipticSunXYZ(DateTime date)
{
var days = JulianDateCalculator.ToJulianDaysJ2000(date);
SetTrigonometry(days);
var S = FS(days);
var P = FP(days);
var lonecl = 238.9508m + 0.00400703m * days
- 19.799m * sinP + 19.848m * cosP
+ 0.897m * sin2P - 4.956m * cos2P
+ 0.610m * sin3P + 1.211m * cos3P
- 0.341m * sin4P - 0.190m * cos4P
+ 0.128m * sin5P - 0.034m * cos5P
- 0.038m * sin6P + 0.031m * cos6P
+ 0.020m * sinS_P - 0.010m * cosS_P;
var latecl = -3.9082m
- 5.453m * sinP - 14.975m * cosP
+ 3.527m * sin2P + 1.673m * cos2P
- 1.051m * sin3P + 0.328m * cos3P
+ 0.179m * sin4P - 0.292m * cos4P
+ 0.019m * sin5P + 0.100m * cos5P
- 0.031m * sin6P - 0.026m * cos6P
+ 0.011m * cosS_P;
var r = 40.72m
+ 6.68m * sinP + 6.90m * cosP
- 1.18m * sin2P - 0.03m * cos2P
+ 0.15m * sin3P - 0.14m * cos3P;
#if DEBUG
Console.WriteLine($"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 void OrbitalElemets_Success(DateTime date, string planetName, OrbitalElements expected)
{
var epsilon = 2m;
// arrange & act
var actual = PlanetManager.GetInstance().GetPlanet(planetName).GetOrbitalElements(date);
// assert
string output = string.Empty;
output += !DecimalMath.IsClose(actual.LongAscedingNode, expected.LongAscedingNode, epsilon) ? $"\nLongAscendingNode\texpected : {expected.LongAscedingNode} actual {actual.LongAscedingNode}" : string.Empty;
output += !DecimalMath.IsClose(actual.Inclination, expected.Inclination, epsilon) ? $"\nInclination\t\texpected : {expected.Inclination} actual {actual.Inclination}" : string.Empty;
output += !DecimalMath.IsClose(actual.Peryhelion, expected.Peryhelion, epsilon) ? $"\nPeryhelion\t\texpected : {expected.Peryhelion} actual {actual.Peryhelion}" : string.Empty;
output += !DecimalMath.IsClose(actual.Eccentricity, expected.Eccentricity, epsilon) ? $"\nEccentricity\t\texpected : {expected.Eccentricity} actual {actual.Eccentricity}" : string.Empty;
output += !DecimalMath.IsClose(actual.MeanAnomaly, expected.MeanAnomaly, epsilon) ? $"\nMeanAnomaly\t\texpected : {expected.MeanAnomaly} actual {actual.MeanAnomaly}" : string.Empty;
output += !DecimalMath.IsClose(actual.SemimajorAxis, expected.SemimajorAxis, epsilon) ? $"\nSemimajorAxis\t\texpected : {expected.SemimajorAxis} actual {actual.SemimajorAxis}" : string.Empty;
Assert.True(string.IsNullOrEmpty(output), output);
}
public static decimal CalculateSumLongitude(DateTime date)
{
var T = JulianDateCalculator.ToJulianCenturiesJ2000(date);
var sum = AL(T);
foreach (var term in terms)
{
var e = Fe(T, term.m);
var sinFs = DecimalMath.Sin(Fs(T, term));
var component = e * term.S * sinFs;
sum += component;
#if DEBUG
Console.WriteLine($"Component no{term.no}\t{component}\te {e} \tLCoeff\t{e * term.S}\tSinFs{sinFs}");
#endif
}
#if DEBUG
Console.WriteLine($"Sum SIGMA_L = {sum}");
#endif
return(sum);
}
public Vector2 <decimal> EclipticCoordinates(DateTime date)
{
var DegToRad = DecimalMath.DegToRad;
var T = JulianDateCalculator.ToJulianCenturiesJ2000(date);
var L = CommonCalculations.From0To360(FL(T));
var M = CommonCalculations.From0To360(FMMoon(T)); var Mrad = M * DegToRad;
var F = CommonCalculations.From0To360(FF(T)); var Frad = F * DegToRad;
var lambda = CommonCalculations.From0To360(L + 1e-6M * CalculateSumLongitude(date));
var beta = (5.128m * DecimalMath.Sin(Frad));
#if DEBUG
Console.WriteLine($"Julian centuries passed: {T}, L = {L}, M = {M}, F = {F}");
Console.WriteLine($"Lambda: {lambda}, Beta : {beta}");
#endif
return(new Vector2 <decimal>(lambda, beta));
}
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);
}
/// <summary>
/// Berechnung des Abschreibungs- und Restbuchwertes (<see cref="CalculationResult"/>) für das Abschreibungsjahr (<paramref name="period"/>).
/// </summary>
/// <param name="data">Die grundlegenden Daten für die Abschreibungsberechnung</param>
/// <param name="period">Das Abschreibungsjahr für das die Daten errechnet werden sollen.</param>
/// <returns>Die errechneten Abschreibungs- und Restbuchwerte</returns>
public CalculationResult CalculateDepreciation(CalculationData data, int period)
{
if (period < 1 || period > data.DepreciationRange)
{
throw new ArgumentOutOfRangeException(nameof(period), "The period must be greater than 0 and less than the value of depreciationRange.");
}
var factor = CalculateFactor(data);
var depreciations =
Enumerable.Range(0, 6)
.Select(x => DecimalMath.Pow(factor, x))
.Select(x => data.AcquisitionValue * x)
.SelectWithPrevious((prev, current) => prev - current)
.Reverse()
.ToList();
var depreciation = depreciations[period - 1];
var remainingValue = data.AcquisitionValue - depreciations.Take(period).Sum();
return(new CalculationResult(period, depreciation, remainingValue));
}
public override Vector3 <decimal> ApparentEclipticEarth3D(DateTime date)
{
var E = EarthPosition.EarthInstance.EclipticSun3D(date);
Vector3 <decimal> P;
var tempDate = date;
var TT = decimal.MaxValue;
while (true)
{
P = EclipticSun3D(tempDate);
var s = Vector3 <decimal> .Distance(E, P);
var newTT = s / CommonCalculations.LIGHTSPEED_AUperTick;
if (DecimalMath.Abs(newTT - TT) < TimeSpan.TicksPerSecond) // try with date up to 1 second.
{
break;
}
tempDate -= new TimeSpan(Convert.ToInt64(newTT));
TT = newTT;
}
return(new Vector3 <decimal>(P.X - E.X, P.Y - E.Y, P.Z - E.Z));
}