44 lines
1.3 KiB
C#
44 lines
1.3 KiB
C#
using System;
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using System.Linq;
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using System.Numerics;
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using Skeleton.Algebra.Extensions;
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using Skeleton.Samples;
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using Skeleton.Utils;
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using Skeleton.Utils.Helpers;
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using Skeleton.Utils.RandomEngines;
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namespace Skeleton.Test;
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[TestFixture]
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public class CayleySU3Test : BaseTest
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{
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[DatapointSource]
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private static readonly LieSU3[] Data = 40
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.WithSeed(Seed)
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.ScaleSamples(-1, 1)
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.LieSU3LogSU3Samples()
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.ToArray();
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private static Action<LieSU3> OnFail = x => Console.WriteLine(x.CSharpRepresentation);
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[Theory]
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public static void TestCayleyForLieSU3(LieSU3 data)
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{
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Action<LieSU3> rawTest = x =>
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{
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U3 cN = x.CayleyNegative();
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Assert.IsTrue((cN * cN.Hermitian()).IsEqualApprox(C33.One));
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};
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rawTest.OnFail(OnFail)(data);
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}
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[Theory]
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public static void TestCayleyUnitary(LieSU3 data)
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{
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U3 cN = data.CayleyNegative();
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U3 cP = data.CayleyPositive();
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var udN = cN.EigenDecomposition();
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var udP = cP.EigenDecomposition();
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Assert.IsTrue(cN.Det().IsEqualApprox(Complex.Conjugate(cP.Det())));
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Console.WriteLine($"{cN.Det()} =x= {cP.Det()}");
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Console.WriteLine($"{udN.J.Det()} =x= {udP.J.Det()}");
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}
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} |