__author__ = 'sibirrer'


from lenstronomy.LensModel.Profiles.sis import SIS

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


class TestSIS(object):
    """
    tests the Gaussian methods
    """
    def setup_method(self):
        self.SIS = SIS()

    def test_function(self):
        x = np.array([1])
        y = np.array([2])
        phi_E = 1.
        values = self.SIS.function(x, y, phi_E)
        npt.assert_almost_equal(values[0], 2.2360679774997898, decimal=9)
        x = np.array([0])
        y = np.array([0])
        phi_E = 1.
        values = self.SIS.function( x, y, phi_E)
        assert values[0] == 0

        x = np.array([2,3,4])
        y = np.array([1,1,1])
        values = self.SIS.function( x, y, phi_E)
        npt.assert_almost_equal(values[0], 2.2360679774997898, decimal=9)
        npt.assert_almost_equal(values[1], 3.1622776601683795, decimal=9)
        npt.assert_almost_equal(values[2], 4.1231056256176606, decimal=9)

    def test_derivatives(self):
        x = np.array([1])
        y = np.array([2])
        phi_E = 1.
        f_x, f_y = self.SIS.derivatives( x, y, phi_E)
        npt.assert_almost_equal(f_x[0], 0.44721359549995793, decimal=9)
        npt.assert_almost_equal(f_y[0], 0.89442719099991586, decimal=9)
        x = np.array([0])
        y = np.array([0])
        f_x, f_y = self.SIS.derivatives( x, y, phi_E)
        assert f_x[0] == 0
        assert f_y[0] == 0

        x = np.array([1,3,4])
        y = np.array([2,1,1])
        values = self.SIS.derivatives(x, y, phi_E)
        assert values[0][0] == 0.44721359549995793
        assert values[1][0] == 0.89442719099991586
        assert values[0][1] == 0.94868329805051377
        assert values[1][1] == 0.31622776601683794

    def test_hessian(self):
        x = np.array([1])
        y = np.array([2])
        phi_E = 1.
        f_xx, f_xy, f_yx, f_yy = self.SIS.hessian( x, y, phi_E)
        npt.assert_almost_equal(f_xx[0], 0.35777087639996635, decimal=9)
        npt.assert_almost_equal(f_yy[0], 0.089442719099991588, decimal=9)
        npt.assert_almost_equal(f_xy[0], -0.17888543819998318, decimal=9)
        npt.assert_almost_equal(f_xy, f_yx, decimal=8)
        x = np.array([1,3,4])
        y = np.array([2,1,1])
        values = self.SIS.hessian( x, y, phi_E)
        npt.assert_almost_equal(values[0][0], 0.35777087639996635, decimal=9)
        npt.assert_almost_equal(values[3][0], 0.089442719099991588, decimal=9)
        npt.assert_almost_equal(values[1][0], -0.17888543819998318, decimal=9)
        npt.assert_almost_equal(values[0][1], 0.031622776601683791, decimal=9)
        npt.assert_almost_equal(values[3][1], 0.28460498941515411, decimal=9)
        npt.assert_almost_equal(values[1][1], -0.094868329805051374, decimal=9)

    def test_theta2rho(self):
        theta_E = 2.
        rho0 = self.SIS.theta2rho(theta_E)
        theta_E_new = self.SIS.rho2theta(rho0)
        npt.assert_almost_equal(theta_E_new, theta_E, decimal=7)


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