def test_sigma_s2(self):
        """
        test LOS projected velocity dispersion at 3d ratios (numerical Jeans equation solution vs analytic one)
        """
        light_profile_list = ['HERNQUIST']
        r_eff = 0.5
        Rs = 0.551 * r_eff
        kwargs_light = [{
            'Rs': Rs,
            'amp': 1.
        }]  # effective half light radius (2d projected) in arcsec
        # 0.551 *
        # mass profile
        mass_profile_list = ['SPP']
        theta_E = 1.2
        gamma = 1.95
        kwargs_mass = [{
            'theta_E': theta_E,
            'gamma': gamma
        }]  # Einstein radius (arcsec) and power-law slope

        # anisotropy profile
        anisotropy_type = 'OM'
        r_ani = 0.5
        kwargs_anisotropy = {'r_ani': r_ani}  # anisotropy radius [arcsec]

        kwargs_cosmo = {'d_d': 1000, 'd_s': 1500, 'd_ds': 800}
        kwargs_numerics = {
            'interpol_grid_num': 2000,
            'log_integration': True,
            'max_integrate': 4000,
            'min_integrate': 0.001
        }

        kwargs_model = {
            'mass_profile_list': mass_profile_list,
            'light_profile_list': light_profile_list,
            'anisotropy_model': anisotropy_type
        }
        analytic_kin = AnalyticKinematics(kwargs_cosmo, **kwargs_numerics)
        numeric_kin = NumericKinematics(kwargs_model, kwargs_cosmo,
                                        **kwargs_numerics)
        r_list = np.logspace(-2, 1, 10)
        for r in r_list:
            for R in np.linspace(start=0, stop=r, num=5):
                sigma_s2_analytic, I_R = analytic_kin.sigma_s2(
                    r, R, {
                        'theta_E': theta_E,
                        'gamma': gamma
                    }, {'r_eff': r_eff}, kwargs_anisotropy)
                sigma_s2_full_num = numeric_kin.sigma_s2_r(
                    r, R, kwargs_mass, kwargs_light, kwargs_anisotropy)
                npt.assert_almost_equal(sigma_s2_full_num / sigma_s2_analytic,
                                        1,
                                        decimal=2)
 def test_sigma_s2(self):
     kwargs_aperture = {
         'center_ra': 0,
         'width': 1,
         'length': 1,
         'angle': 0,
         'center_dec': 0,
         'aperture_type': 'slit'
     }
     kwargs_cosmo = {'d_d': 1000, 'd_s': 1500, 'd_ds': 800}
     kwargs_psf = {'psf_type': 'GAUSSIAN', 'fwhm': 1}
     kin = AnalyticKinematics(kwargs_cosmo)
     kwargs_light = {'r_eff': 1}
     sigma_s2 = kin.sigma_s2(r=1,
                             R=0.1,
                             kwargs_mass={
                                 'theta_E': 1,
                                 'gamma': 2
                             },
                             kwargs_light=kwargs_light,
                             kwargs_anisotropy={'r_ani': 1})
     assert 'a' in kwargs_light