public void TestRange()
{
var reset = new AutoResetEvent(false);
var step = 1m;
var i = 0m;
while (true)
{
Task.Factory.StartNew(() =>
{
Debug.WriteLine("Sqrt({0})={1}", i, DecimalEx.Sqrt(i));
reset.Set();
});
Assert.IsTrue(reset.WaitOne(30000));
step *= 1.01m;
try { i += step; }
catch (OverflowException)
{
if (i == Decimal.MaxValue)
{
break;
}
i = decimal.MaxValue;
}
}
}
public static decimal Sqrt(this decimal value)
{
if (value.IsNaN())
{
return(Decimals.NaN);
}
return(DecimalEx.Sqrt(value));
}
/// <summary>
/// The great circle distance in radians between two spherical coordinates.
/// This function uses the Haversine formula.
/// For math details, see:
/// https://en.wikipedia.org/wiki/Haversine_formula
/// https://www.movable-type.co.uk/scripts/latlong.html
/// </summary>
/// <param name="a">the first lat/lng pair (in radians)</param>
/// <param name="b">the second lat/lng pair (in radians)</param>
/// <returns>
/// the great circle distance in radians between a and b
/// </returns>
/// <!--
/// geoCoord.c
/// double H3_EXPORT(pointDistRads)
/// -->
public static decimal DistanceToRadians(this GeoCoord a, GeoCoord b)
{
decimal sinLat = DecimalEx.Sin((b.Latitude - a.Latitude) / 2.0m);
decimal sinLng = DecimalEx.Sin((b.Longitude - a.Longitude) / 2.0m);
decimal p = sinLat * sinLat + DecimalEx.Cos(a.Latitude) *
DecimalEx.Cos(b.Latitude) * sinLng * sinLng;
return(2 * DecimalEx.ATan2(DecimalEx.Sqrt(p), DecimalEx.Sqrt(1 - p)));
}
public void pythaGorTheorem()
{
Console.Write("Enter A:\n");
decimal ASquared = decimal.Parse(Console.ReadLine());
Console.Write("Enter B:\n");
decimal BSquared = decimal.Parse(Console.ReadLine());
Answer = DecimalEx.Sqrt((ASquared * ASquared) + (BSquared * BSquared));
Console.Write($"C is {Answer}.\n");
}
/// <summary>
/// Surface area in radians^2 of spherical triangle on unit sphere.
///
/// For the math, see:
/// https://en.wikipedia.org/wiki/Spherical_trigonometry#Area_and_spherical_excess
/// </summary>
/// <param name="a">length of triangle side A in radians</param>
/// <param name="b">length of triangle side B in radians</param>
/// <param name="c">length of triangle side C in radians</param>
/// <returns>area in radians^2 of triangle on unit sphere</returns>
/// <!--
/// geoCoord.c
/// double triangleEdgeLengthsToArea
/// -->
private static decimal TriangleEdgeLengthToArea(decimal a, decimal b, decimal c)
{
decimal s = (a + b + c) / 2;
a = (s - a) / 2;
b = (s - b) / 2;
c = (s - c) / 2;
s /= 2;
return(4 * DecimalEx.ATan
(DecimalEx.Sqrt(DecimalEx.Tan(s) *
DecimalEx.Tan(a) *
DecimalEx.Tan(b) *
DecimalEx.Tan(c))));
}
public void RejectNegativeValue()
{
Assert.Throws <ArgumentException>(() => DecimalEx.Sqrt(-1));
}
public void Test(decimal s, decimal expected)
{
Assert.That(DecimalEx.Sqrt(s), Is.EqualTo(expected).Within(0m));
}
public void UpdateFilter()
{
var A = DecimalEx.Pow(10, Gain / 40m);
var w = DecimalEx.TwoPi * Frequency / SampleRate;
var cosw = DecimalEx.Cos(w);
var sinw = DecimalEx.Sin(w);
var alpha = sinw / (2 * Q);
var Am1cosw = (A - 1m) * cosw;
var Ap1cosw = (A + 1m) * cosw;
var TwoSqrtAalpha = 2m * DecimalEx.Sqrt(A) * alpha;
decimal a0 = 1m;
switch (Type)
{
case FilterType.Disabled:
b0 = 1;
b1 = b2 = a1 = a2 = 0;
FP_b0 = 0x00800000;
FP_b1 = FP_b2 = FP_a1 = FP_a2 = 0;
return;
case FilterType.EQ:
b0 = 1m + alpha * A;
b1 = a1 = -2m * cosw;
b2 = 1m - alpha * A;
a0 = 1m + alpha / A;
a2 = 1m - alpha / A;
break;
case FilterType.Lowpass:
b1 = 1m - cosw;
b2 = b0 = b1 / 2m;
a0 = 1m + alpha;
a1 = -2m * cosw;
a2 = 1m - alpha;
break;
case FilterType.Highpass:
b1 = -1m - cosw;
b0 = b2 = -b1 / 2m;
a0 = 1m + alpha;
a1 = -2m * cosw;
a2 = 1m - alpha;
break;
case FilterType.Bandpass:
b0 = alpha;
b1 = 0;
b2 = -alpha;
a0 = 1m + alpha;
a1 = -2m * cosw;
a2 = 1m - alpha;
break;
case FilterType.Notch:
b0 = b2 = 1m;
a0 = 1m + alpha;
a1 = b1 = -2m * cosw;
a2 = 1m - alpha;
break;
case FilterType.LowShelf:
b0 = A * (A + 1m - Am1cosw + TwoSqrtAalpha);
b1 = 2m * A * (A - 1m - Ap1cosw);
b2 = A * (A + 1m - Am1cosw - TwoSqrtAalpha);
a0 = A + 1m + Am1cosw + TwoSqrtAalpha;
a1 = -2m * (A - 1m + Ap1cosw);
a2 = A + 1m + Am1cosw - TwoSqrtAalpha;
break;
case FilterType.HighShelf:
b0 = A * (A + 1m + Am1cosw + TwoSqrtAalpha);
b1 = -2m * A * (A - 1m + Ap1cosw);
b2 = A * (A + 1m + Am1cosw - TwoSqrtAalpha);
a0 = A + 1m - Am1cosw + TwoSqrtAalpha;
a1 = 2m * (A - 1m - Ap1cosw);
a2 = A + 1m - Am1cosw - TwoSqrtAalpha;
break;
case FilterType.Custom:
break;
}
b0 /= a0;
b1 /= a0;
b2 /= a0;
a1 /= a0;
a2 /= a0;
if (NegateA && Type != FilterType.Custom)
{
a1 *= -1m;
a2 *= -1m;
}
FP_b0 = ToFP(b0);
FP_b1 = ToFP(b1);
FP_b2 = ToFP(b2);
FP_a1 = ToFP(a1);
FP_a2 = ToFP(a2);
b0 = FromFP(FP_b0);
b1 = FromFP(FP_b1);
b2 = FromFP(FP_b2);
a1 = FromFP(FP_a1);
a2 = FromFP(FP_a2);
}