import pynam.dielectric.sigma_nam
import numpy as np
import pytest


@pytest.mark.parametrize("test_input,expected", [
	((1, 2), 7 / (2 * np.sqrt(6))),
	((2, 0.25), -5j / np.sqrt(39))
])
def test_g(test_input, expected):
	np.testing.assert_almost_equal(
		pynam.dielectric.sigma_nam.g(*test_input), expected,
		decimal=7, err_msg='g function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((1, 2, 0), 2),
	((1, 2, 3), 2 - 3j),
	((1, 0, 3), -3j)
])
def test_s(test_input, expected):
	np.testing.assert_almost_equal(
		pynam.dielectric.sigma_nam.s(*test_input), expected,
		decimal=7, err_msg='s function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((1, 2, 0), 4 - 3 * np.log(3)),
	((1, 1, 0.1), 1.7258022209219421 + 0.4146045220413866j),
	((1, 2, 1), 0.535971651563 + 0.291580606867j),
	((1, 0, 1), (np.pi - 2)*1j),
	((2, 1.09637631718, 0), 0.97892512273 + 1.09875591859j),
	((2, 1, 0), 0.91197960825 + 1.17809724510j)
])
def test_f(test_input, expected):
	np.testing.assert_almost_equal(
		pynam.dielectric.sigma_nam.f(*test_input), expected,
		decimal=7, err_msg='f function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((2, 3, 1, 0), 1.43292419807),
	((1, 2, 3, 4), 0.020963572915 + 0.441546735048j),
	((1, 2, 2, 0), 2.24702466263660598724031013350450660504 + 2.6687342075059525776833106878900822165j)
])
def test_i1(test_input, expected):
	np.testing.assert_almost_equal(
		pynam.dielectric.sigma_nam.i1(*test_input), expected,
		decimal=7, err_msg='i1 function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((2, 3, 1, 0), 1.48649022993),
	((1, 2, 3, 4), 0.079899419983 + 0.441546735048j),
	((1, 2, 2, 0), 2.5083371377336783093007366990156440969 + 2.6687342075059525776833106878900822165j)
])
def test_i2(test_input, expected):
	np.testing.assert_almost_equal(
		pynam.dielectric.sigma_nam.i2(*test_input), expected,
		decimal=7, err_msg='i1 function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((1, 2, 3, 4), 0.228396),
	((0.007307411691175783, 1e8, 730.7411691175784, 0.5845929352940626), 1.37272e-7)
])
def test_a(test_input, expected):
	actual = np.real_if_close(pynam.dielectric.sigma_nam.a(*test_input))
	np.testing.assert_allclose(
		actual, expected,
		rtol=1e-5, err_msg='a function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((2, 1, 2, 0, 4), 0.19089933550122580816258795500979108668 + 0.30273783507819906415704926284048453889j),
	((100, 1, 2, 3, 4), -2.62529549976e-6 + 2.60765e-12j),
])
def test_b_int(test_input, expected):
	actual = np.real_if_close(pynam.dielectric.sigma_nam.b_int(*test_input))
	np.testing.assert_almost_equal(
		actual, expected,
		decimal=6, err_msg='b int function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((1, 2, 0, 4), 1.23149 + 2.08627j),
	((1, 2, 3, 4), -0.0595819 + 0.437385j),
])
def test_b(test_input, expected):
	actual = np.real_if_close(pynam.dielectric.sigma_nam.b(*test_input))
	np.testing.assert_almost_equal(
		actual, expected,
		decimal=6, err_msg='b function is off'
	)


@pytest.mark.parametrize("test_input,expected", [
	((1, 2, 0, 4), 0),
	((1, 2, 3, 4), 0.984117 + 0.647951j),
	((0.007307411691175783, 1e8, 730.7411691175784, 0.5845929352940626), 0.00008925294700016892 + 0.0102953966846717j)
])
def test_sigma_nam(test_input, expected):
	actual = np.real_if_close(pynam.dielectric.sigma_nam.sigma_nam(*test_input))
	np.testing.assert_allclose(
		actual, expected,
		rtol=1e-3, err_msg='sigma_nam function is off'
	)


def test_sigma_nam_benchmark(benchmark):
	result = benchmark(pynam.dielectric.sigma_nam.sigma_nam, 1, 2, 3, 4)
	np.testing.assert_almost_equal(
		result, 0.984117 + 0.647951j,
		decimal=6, err_msg='sigma nam benchmrak function is off'
	)