using System;
using System.Numerics;
using Skeleton.Algebra.Extensions;
using Skeleton.Constants;

namespace Skeleton.Test;
[TestFixture]
public class SUTestFix : BaseTest
{
    [Test]
    public static void Dim2Test()
    {
        SU2 x = new SU2(
            -0.46729917700515705 - 0.4990694206607689 * AlgebraConstant.I,
            0.31791136143046506 - 0.5640806336119782 * AlgebraConstant.I,
            -0.25266772613116484 - 0.5961657614408675 * AlgebraConstant.I,
            -0.5330307462242154 + 0.669854044098976 * AlgebraConstant.I
        );

        U2 y = new(
            -0.46729917700515705 - 0.4990694206607689 * AlgebraConstant.I,
            0.31791136143046506 - 0.5640806336119782 * AlgebraConstant.I,
            -0.25266772613116484 - 0.5961657614408675 * AlgebraConstant.I,
            -0.5330307462242154 + 0.669854044098976 * AlgebraConstant.I
        );
        Console.WriteLine(y.Det());
        Console.WriteLine((x.U * x.U.Hermitian()).Representation);
        Assert.IsTrue((x.U * x.U.Hermitian()).IsEqualApprox(C22.One));
        Assert.IsTrue(x.D.Det().IsEqualApprox(1));
        Console.WriteLine(x.D.PythonRepresentation);
        Assert.IsTrue((x.D * x.D.Hermitian()).IsEqualApprox(C22.One));
        Console.WriteLine((x * x.Hermitian()).Representation);
        U2 s = new(Complex.ImaginaryOne, 0, 0, 1);
        Console.WriteLine(s.Representation);
    }
}