using System;
using System.Collections.Generic;
using System.Numerics;
using Skeleton.Constants;

namespace SkeletonTest.tests;

public static class LieSU3FastEigenValueTest
{
    private static IEnumerable<Complex> FastEigen(LieSU3 a)
    {
        yield return (a[2, 3] - a[3, 2]) * Complex.ImaginaryOne;
        yield return (a[3, 1] - a[1, 3]) * Complex.ImaginaryOne;
        yield return (a[1, 2] - a[2, 1]) * Complex.ImaginaryOne;
    }

    [Test]
    public static void FastEigenTest()
    {
        LieSU3 a = new LieSU3( 
            0.44879894874697296 * AlgebraConstant.I, 0, 0, 
            0, 0 - 0.11636159072063412 * AlgebraConstant.I, -0.5651605390583659 + 0.3494531429928127 * AlgebraConstant.I,
            0, 0.5651605403306819 + 0.34945314093513263 * AlgebraConstant.I, 0 - 0.33243736223309456 * AlgebraConstant.I);

        Console.WriteLine(a.PythonRepresentation);
        Console.WriteLine("===============");
        
        Console.WriteLine((a + a.Hermitian()).Representation);
        Console.WriteLine("00000000000000000000");
        foreach (Complex ev in a.EigenValues())
        {
            Console.WriteLine(ev);
        }

        Console.WriteLine("===================");
        foreach (Complex ev in FastEigen(a))
        {
            Console.WriteLine(ev);
        }

    }

}