using System;
using System.Linq;
using System.Numerics;
using Skeleton.Algebra.Extensions;
using Skeleton.Samples;
using Skeleton.Utils;

namespace Skeleton.Test;

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()}");
    }
    
}