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

namespace Skeleton.Test;
[TestFixture]
public class CayleySU4Test : BaseTest
{
    [DatapointSource]
    private static readonly LieSU4[] Data = 80
        .WithSeed(Seed)
        .ScaleSamples(-1, 1)
        .LieSU4LogSU4Samples()
        .ToArray();
    private static Action<LieSU4> OnFail = x => Console.WriteLine(x.CSharpRepresentation);
    [Theory]
    public static void TestCayleyForLieSU4(LieSU4 data)
    {
        Action<LieSU4> rawTest = x =>
        {
            U4 cN = x.CayleyNegative();
            Assert.IsTrue((cN * cN.Hermitian()).IsEqualApprox(C44.One));
        };
        rawTest.OnFail(OnFail)(data);
    }

    [Theory]
    public static void TestCayleyUnitary(LieSU4 data)
    {
        U4 cN = data.CayleyNegative();
        U4 cP = data.CayleyPositive();
        var udN = cN.EigenDecomposition();
        var udP = cP.EigenDecomposition();
        //Console.WriteLine((cN - cP.Conj()).PythonRepresentation);
        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()}");
    }

}