m3

tests/CayleyTransformationTest.cs

@@ -0,0 +1,36 @@
+using System;
+using System.Linq;
+using Skeleton.Algebra.Extensions;
+using Skeleton.Samples;
+using Skeleton.Utils;
+
+namespace SkeletonTest.tests;
+
+public static class CayleyTransformationTest
+{
+    [DatapointSource]
+    private static readonly LieSU2[] Data = 40.ScaleSamples(-1, 1).LieSU2LogSU2Samples().ToArray();
+        private static Action<LieSU2> OnFail = x => Console.WriteLine(x.CSharpRepresentation);
+    [Theory]
+    public static void TestCayleyForLieSU2(LieSU2 data)
+    {
+        Action<LieSU2> rawTest = x =>
+        {
+            U2 cN = x.CayleyNegative();
+            Assert.IsTrue((cN * cN.Hermitian()).IsEqualApprox(C22.One));
+        };
+        rawTest.OnFail(OnFail)(data);
+    }
+
+    [Theory]
+    public static void TestCayleyUnitary(LieSU2 data)
+    {
+        U2 cN = data.CayleyNegative();
+        U2 cP = data.CayleyPositive();
+        var udN = cN.EigenDecomposition();
+        var udP = cP.EigenDecomposition();
+        Assert.IsTrue(cN.Det().IsEqualApprox(1));
+        Assert.IsTrue(cP.Det().IsEqualApprox(1));
+        Console.WriteLine($"{udN.J.Det()}  =x=  {udP.J.Det()}");
+    }
+}