__author__ = 'sibirrer'

import pytest
import numpy as np
import numpy.testing as npt

from lenstronomy.LensModel.Profiles.hernquist import Hernquist
from lenstronomy.LensModel.Profiles.hernquist_ellipse import Hernquist_Ellipse
import lenstronomy.Util.param_util as param_util


class TestHernquist(object):

    def setup_method(self):
        self.profile = Hernquist()

    def test_function(self):
        x = np.array([1])
        y = np.array([2])
        Rs = 1.
        sigma0 = 0.5
        values = self.profile.function(x, y, sigma0, Rs)
        npt.assert_almost_equal(values[0], 0.66514613455415028, decimal=8)
        x = np.array([0])
        y = np.array([0])
        Rs = 1.
        sigma0 = 0.5
        values = self.profile.function(x, y, sigma0, Rs)
        npt.assert_almost_equal(values[0], 0, decimal=6)

        x = np.array([2,3,4])
        y = np.array([1,1,1])
        values = self.profile.function( x, y, sigma0, Rs)
        npt.assert_almost_equal(values[0], 0.66514613455415028, decimal=8)
        npt.assert_almost_equal(values[1], 0.87449395673649566, decimal=8)
        npt.assert_almost_equal(values[2], 1.0549139073851708, decimal=8)

    def test_derivatives(self):
        x = 1
        y = 2
        Rs = 1.
        sigma0 = 0.5
        f_x, f_y = self.profile.derivatives( x, y, sigma0, Rs)
        npt.assert_almost_equal(f_x, 0.11160641027573866, decimal=8)
        npt.assert_almost_equal(f_y, 0.22321282055147731, decimal=8)
        x = np.array([0])
        y = np.array([0])
        f_x, f_y = self.profile.derivatives( x, y, sigma0, Rs)
        npt.assert_almost_equal(f_x, 0, decimal=8)
        npt.assert_almost_equal(f_y, 0, decimal=8)

    def test_hessian(self):
        x = np.array([1])
        y = np.array([2])
        Rs = 1.
        sigma0 = 0.5
        f_xx, f_xy, f_yx, f_yy = self.profile.hessian(x, y, sigma0, Rs)
        npt.assert_almost_equal(f_xx[0], 0.0779016004481825, decimal=6)
        npt.assert_almost_equal(f_yy[0], -0.023212809452388683, decimal=6)
        npt.assert_almost_equal(f_xy[0], -0.0674096084507525, decimal=6)
        npt.assert_almost_equal(f_xy, f_yx, decimal=8)

    def test_mass_tot(self):
        rho0 = 1
        Rs = 3
        m_tot = self.profile.mass_tot(rho0, Rs)
        npt.assert_almost_equal(m_tot, 169.64600329384882, decimal=6)

    def test_grav_pot(self):
        x, y = 1, 0
        rho0 = 1
        Rs = 3
        grav_pot = self.profile.grav_pot(x, y, rho0, Rs, center_x=0, center_y=0)
        npt.assert_almost_equal(grav_pot, 42.411500823462205, decimal=8)

    def test_sigma0_definition(self):
        Rs = 2.
        sigma0 = 0.5
        f_x, f_y = self.profile.derivatives(Rs, 0, sigma0, Rs)
        alpha = f_x
        npt.assert_almost_equal(alpha, 2/3. * sigma0 * Rs, decimal=5)


class TestHernquistEllipse(object):

    def setup_method(self):
        self.profile = Hernquist_Ellipse()

    def test_function(self):
        x = np.array([1])
        y = np.array([2])
        Rs = 1.
        sigma0 = 0.5
        q, phi_G = 0.8, 0.5
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        values = self.profile.function(x, y, sigma0, Rs, e1, e2)
        npt.assert_almost_equal(values[0], 0.6431256503990406, decimal=6)
        x = np.array([0])
        y = np.array([0])
        Rs = 1.
        sigma0 = 0.5
        values = self.profile.function(x, y, sigma0, Rs, e1, e2)
        npt.assert_almost_equal(values[0], 0, decimal=6)

        x = np.array([2,3,4])
        y = np.array([1,1,1])
        values = self.profile.function( x, y, sigma0, Rs, e1, e2)
        npt.assert_almost_equal(values[0], 0.5983066087852915, decimal=6)
        npt.assert_almost_equal(values[1], 0.8014743038748537, decimal=6)
        npt.assert_almost_equal(values[2], 0.9806423979121521, decimal=6)

    def test_derivatives(self):
        x = 1
        y = 2
        Rs = 1.
        sigma0 = 0.5
        q, phi_G = 0.8, 0.5
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        f_x, f_y = self.profile.derivatives( x, y, sigma0, Rs, e1, e2)
        npt.assert_almost_equal(f_x, 0.06066651014748484, decimal=6)
        npt.assert_almost_equal(f_y, 0.24321226850316485, decimal=6)
        x = np.array([0])
        y = np.array([0])
        f_x, f_y = self.profile.derivatives(x, y, sigma0, Rs, e1, e2)
        npt.assert_almost_equal(f_x, 0, decimal=8)
        npt.assert_almost_equal(f_y, 0, decimal=8)

    def test_hessian(self):
        x = np.array([1.])
        y = np.array([2.])
        Rs = 1.
        sigma0 = 0.5
        q, phi_G = 0.8, 0.5
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        f_xx, f_xy, f_yx, f_yy = self.profile.hessian(x, y, sigma0, Rs, e1, e2)
        npt.assert_almost_equal(f_xx[0], 0.09437634437420293, decimal=6)
        npt.assert_almost_equal(f_yy[0], -0.029223594277816286, decimal=6)
        npt.assert_almost_equal(f_xy[0], -0.062239983771028566, decimal=6)
        npt.assert_almost_equal(f_xy, f_yx, decimal=6)


if __name__ == '__main__':
    pytest.main()
