import numpy as np
import pyerrors as pe
import pytest

np.random.seed(0)


def test_gamma_matrices():
    for matrix in pe.dirac.gamma:
        assert np.allclose(matrix @ matrix, np.identity(4))
        assert np.allclose(matrix, matrix.T.conj())
    assert np.allclose(pe.dirac.gamma5, pe.dirac.gamma[0] @ pe.dirac.gamma[1] @ pe.dirac.gamma[2] @ pe.dirac.gamma[3])


def test_grid_dirac():
    for gamma in ['Identity',
                  'Gamma5',
                  'GammaX',
                  'GammaY',
                  'GammaZ',
                  'GammaT',
                  'GammaXGamma5',
                  'GammaYGamma5',
                  'GammaZGamma5',
                  'GammaTGamma5',
                  'SigmaXT',
                  'SigmaXY',
                  'SigmaXZ',
                  'SigmaYT',
                  'SigmaYZ',
                  'SigmaZT']:
        pe.dirac.Grid_gamma(gamma)
    with pytest.raises(Exception):
        pe.dirac.Grid_gamma('Not a gamma matrix')


def test_epsilon_tensor():
    check = {(1, 2, 3) : 1.0,
             (3, 1, 2) : 1.0,
             (2, 3, 1) : 1.0,
             (1, 1, 1) : 0.0,
             (3, 2, 1) : -1.0,
             (1, 3, 2) : -1.0,
             (1, 1, 3) : 0.0}
    for key, value in check.items():
        assert pe.dirac.epsilon_tensor(*key) == value
    with pytest.raises(Exception):
        pe.dirac.epsilon_tensor(0, 1, 3)


def test_epsilon_tensor_rank4():
    check = {(1, 4, 3, 2) : -1.0,
             (1, 2, 3, 4) : 1.0,
             (2, 1, 3, 4) : -1.0,
             (4, 3, 2, 1) : 1.0,
             (3, 2, 4, 3) : 0.0,
             (0, 1, 2, 3) : 1.0,
             (1, 1, 1, 1) : 0.0,
             (1, 2, 3, 1) : 0.0}
    for key, value in check.items():
        assert pe.dirac.epsilon_tensor_rank4(*key) == value
    with pytest.raises(Exception):
        pe.dirac.epsilon_tensor_rank4(0, 1, 3, 4)