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()}");
    }
}