m3

tests/CayleySU3Test.cs

@@ -0,0 +1,39 @@
+using System;
+using System.Linq;
+using System.Numerics;
+using Skeleton.Algebra.Extensions;
+using Skeleton.Samples;
+using Skeleton.Utils;
+
+namespace SkeletonTest.tests;
+
+public class CayleySU3Test
+{
+
+    [DatapointSource]
+    private static readonly LieSU3[] Data = 40.ScaleSamples(-1, 1).LieSU3LogSU3Samples().ToArray();
+    private static Action<LieSU3> OnFail = x => Console.WriteLine(x.CSharpRepresentation);
+    [Theory]
+    public static void TestCayleyForLieSU3(LieSU3 data)
+    {
+        Action<LieSU3> rawTest = x =>
+        {
+            U3 cN = x.CayleyNegative();
+            Assert.IsTrue((cN * cN.Hermitian()).IsEqualApprox(C33.One));
+        };
+        rawTest.OnFail(OnFail)(data);
+    }
+
+    [Theory]
+    public static void TestCayleyUnitary(LieSU3 data)
+    {
+        U3 cN = data.CayleyNegative();
+        U3 cP = data.CayleyPositive();
+        var udN = cN.EigenDecomposition();
+        var udP = cP.EigenDecomposition();
+        Assert.IsTrue(cN.Det().IsEqualApprox(Complex.Conjugate(cP.Det())));
+        Console.WriteLine($"{cN.Det()}  =x=  {cP.Det()}");
+        Console.WriteLine($"{udN.J.Det()}  =x=  {udP.J.Det()}");
+    }
+    
+}