__author__ = 'sibirrer'


from lenstronomy.LensModel.Profiles.cnfw import CNFW
from lenstronomy.LensModel.Profiles.cnfw_ellipse import CNFW_ELLIPSE
import lenstronomy.Util.param_util as param_util

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

class TestCNFWELLIPSE(object):
    """
    tests the Gaussian methods
    """
    def setup_method(self):
        self.nfw = CNFW()
        self.nfw_e = CNFW_ELLIPSE()

    def test_function(self):
        x = np.array([1])
        y = np.array([2])
        Rs = 1.
        alpha_Rs = 1.
        q = 1.
        phi_G = 0
        r_core = 0.5
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        values = self.nfw.function(x, y, Rs, alpha_Rs, r_core=r_core)
        values_e = self.nfw_e.function(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(values[0], values_e[0], decimal=5)
        x = np.array([0])
        y = np.array([0])

        q = .8
        phi_G = 0
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        values = self.nfw_e.function(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(values[0], 0, decimal=4)

        x = np.array([2, 3, 4])
        y = np.array([1, 1, 1])
        values = self.nfw_e.function(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(values[0], 1.8550220596738973, decimal=5)
        npt.assert_almost_equal(values[1], 2.7684470762303537, decimal=5)
        npt.assert_almost_equal(values[2], 3.7076606717487586, decimal=5)

    def test_derivatives(self):
        x = np.array([1])
        y = np.array([2])
        Rs = 1.
        alpha_Rs = 1.
        q = 1.
        phi_G = 0
        r_core = 0.5
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        f_x, f_y = self.nfw.derivatives(x, y, Rs, alpha_Rs, r_core)
        f_x_e, f_y_e = self.nfw_e.derivatives(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(f_x[0], f_x_e[0], decimal=5)
        npt.assert_almost_equal(f_y[0], f_y_e[0], decimal=5)
        x = np.array([0])
        y = np.array([0])
        alpha_Rs = 0
        f_x, f_y = self.nfw_e.derivatives(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(f_x[0], 0, decimal=5)
        npt.assert_almost_equal(f_y[0], 0, decimal=5)

        x = np.array([1,3,4])
        y = np.array([2,1,1])
        alpha_Rs = 1.
        q = .8
        phi_G = 0
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        values = self.nfw_e.derivatives(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(values[0][0], 0.3867896894988756, decimal=5)
        npt.assert_almost_equal(values[1][0], 1.1603690684966268, decimal=5)
        npt.assert_almost_equal(values[0][1], 0.9371571936062841, decimal=5)
        npt.assert_almost_equal(values[1][1], 0.46857859680314207, decimal=5)

    def test_hessian(self):
        x = np.array([1])
        y = np.array([2])
        Rs = 1.
        alpha_Rs = 1.
        q = 1.
        phi_G = 0
        r_core = 0.5
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        f_xx, f_xy, f_yx, f_yy = self.nfw.hessian(x, y, Rs, alpha_Rs, r_core)
        f_xx_e, f_xy_e, f_yx_e, f_yy_e = self.nfw_e.hessian(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(f_xx[0], f_xx_e[0], decimal=5)
        npt.assert_almost_equal(f_yy[0], f_yy_e[0], decimal=5)
        npt.assert_almost_equal(f_xy[0], f_xy_e[0], decimal=5)
        npt.assert_almost_equal(f_yx[0], f_yx_e[0], decimal=5)

        x = np.array([1,3,4])
        y = np.array([2,1,1])
        q = .8
        phi_G = 0
        e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
        values = self.nfw_e.hessian(x, y, Rs, alpha_Rs, r_core, e1, e2)
        npt.assert_almost_equal(values[0][0], 0.3306510620859626, decimal=5)
        npt.assert_almost_equal(values[3][0], 0.07493437759187316, decimal=5)
        npt.assert_almost_equal(values[1][0], -0.1684167189042185, decimal=5)
        npt.assert_almost_equal(values[0][1], 0.020280774837289073, decimal=5)
        npt.assert_almost_equal(values[3][1], 0.3955523575349673, decimal=5)
        npt.assert_almost_equal(values[1][1], -0.14605247788956888, decimal=5)

    def test_mass_3d(self):
        Rs = 10.
        rho0 = 1.
        r_core = 7.

        R = np.linspace(0.1 * Rs, 4 * Rs, 1000)
        alpha_Rs = self.nfw._rho2alpha(rho0, Rs, r_core)
        m3d = self.nfw.mass_3d(R, Rs, rho0, r_core)
        m3d_lens = self.nfw_e.mass_3d_lens(R, Rs, alpha_Rs, r_core)
        npt.assert_almost_equal(m3d, m3d_lens, decimal=8)


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