M2

src/Constants/AlgebraConstant.cs

@@ -0,0 +1,100 @@
+using System.Numerics;
+using Skeleton.Algebra.DimensionProviders;
+
+namespace Skeleton.Constants;
+using DiagR4 = Algebra.CategoryOf<IDim4>.OnField<double>.FDiagonalMatrix;
+using DiagR3 = Algebra.CategoryOf<IDim3>.OnField<double>.FDiagonalMatrix;
+
+/// <summary>
+///     constants
+/// </summary>
+public static class AlgebraConstant
+{
+    /// <summary>
+    ///     sqrt of pi
+    /// </summary>
+    public const double SqrtPi = 1.772453850905516027298167483341145182797549456122387128213807789852911284183d;
+
+    /// <summary>
+    ///     erf(1)
+    /// </summary>
+    public const double Erf1 = 0.8427007877600066754197883d;
+
+    /// <summary>
+    ///     erfc(1)
+    /// </summary>
+    public const double Erfc1 = 1 - Erf1;
+
+    /// <summary>
+    ///     erf(2)
+    /// </summary>
+    public const double Erf2 = 0.9953222650189527341620691d;
+
+    /// <summary>
+    ///     erfc(2)
+    /// </summary>
+    public const double Erfc2 = 1 - Erf2;
+
+    /// <summary>
+    ///     pi * pi
+    /// </summary>
+    public const double PI2 = Math.PI * Math.PI;
+
+    /// <summary>
+    ///     imaginary one
+    /// </summary>
+    public static readonly Complex I = Complex.ImaginaryOne;
+
+    /// <summary>
+    ///     0, 1/3, 2/3, 1 as diag
+    /// </summary>
+    public static readonly DiagR4 UniformSpectrum4 = new(0d, 1d / 3d, 2d / 3d, 1d);
+
+    /// <summary>
+    ///     0, 0.5, 1 as diag
+    /// </summary>
+    public static readonly DiagR3 UniformSpectrum3 = new(0d, 1d / 2d, 1d);
+
+    /// <summary>
+    ///     no use
+    /// </summary>
+    /// <param name="x"></param>
+    /// <returns></returns>
+    public static int Fib(int x)
+    {
+        return x switch
+        {
+            1 => 1,
+            2 => 2,
+            3 => 3,
+            4 => 5,
+            5 => 8,
+            6 => 13,
+            7 => 21,
+            8 => 34,
+            _ => -1
+        };
+    }
+
+    /// <summary>
+    ///     no use
+    /// </summary>
+    /// <param name="x"></param>
+    /// <returns></returns>
+    public static int Ludic(int x)
+    {
+        return x switch
+        {
+            0 => 0,
+            1 => 1,
+            2 => 2,
+            3 => 4,
+            4 => 16,
+            5 => 26,
+            6 => 42,
+            7 => 57,
+            8 => 79,
+            _ => -1
+        };
+    }
+}

src/Constants/CC.cs

@@ -0,0 +1,76 @@
+using System.Numerics;
+
+namespace Skeleton.Constants;
+
+/// <summary>
+/// </summary>
+public static class CC
+{
+    /// <summary>
+    /// </summary>
+    public static readonly Complex I = Complex.ImaginaryOne;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt2 = Math.Sqrt(2d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt3 = Math.Sqrt(3d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt5 = Math.Sqrt(5d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt6 = Math.Sqrt(6d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt7 = Math.Sqrt(7d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt10 = Math.Sqrt(10d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt11 = Math.Sqrt(11d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double Sqrt13 = Math.Sqrt(13d);
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv2 = 1d / Sqrt2;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv3 = 1d / Sqrt3;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv5 = 1d / Sqrt5;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv6 = 1d / Sqrt6;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv7 = 1d / Sqrt7;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv10 = 1d / Sqrt10;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv11 = 1d / Sqrt11;
+
+    /// <summary>
+    /// </summary>
+    public static readonly double SqrtInv13 = 1d / Sqrt13;
+}