示例#1
0
class TestMultipole(object):
    """
    tests the Gaussian methods
    """
    def setup(self):
        self.Multipole = Multipole()

    def test_function(self):
        x = 1
        y = 2
        m = 4
        a_m = 0.05
        phi_m = 25*np.pi/180.
        values = self.Multipole.function(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(values, 0.006684307, decimal=6)
        x = np.array([0])
        y = np.array([0])
        values = self.Multipole.function(x, y, m, a_m, phi_m)
        assert values[0] == 0

        x = np.array([2, 3, 4])
        y = np.array([1, 1, 1])
        values = self.Multipole.function(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(values[0], -0.007409114, decimal=6)
        npt.assert_almost_equal(values[1], -0.009453038, decimal=6)
        npt.assert_almost_equal(values[2], -0.009910505, decimal=6)

    def test_derivatives(self):
        x = 1
        y = 2
        m = 4
        a_m = 0.05
        phi_m = 25 * np.pi / 180.
        f_x, f_y = self.Multipole.derivatives(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(f_x, -0.003939644, decimal=6)
        npt.assert_almost_equal(f_y, 0.005311976, decimal=6)

        x = np.array([1])
        y = np.array([2])
        f_x, f_y = self.Multipole.derivatives(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(f_x[0], -0.003939644, decimal=6)
        npt.assert_almost_equal(f_y[0], 0.005311976, decimal=6)

        x = np.array([2, 3, 1])
        y = np.array([1, 1, 4])
        f_x, f_y = self.Multipole.derivatives(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(f_x[0], -0.003613858, decimal=6)
        npt.assert_almost_equal(f_x[1], -0.000970385, decimal=6)
        npt.assert_almost_equal(f_x[2], 0.005970704, decimal=6)
        npt.assert_almost_equal(f_y[0], -0.000181398, decimal=6)
        npt.assert_almost_equal(f_y[1], -0.006541883, decimal=6)
        npt.assert_almost_equal(f_y[2], 0.001649720, decimal=6)

    def test_hessian(self):
        x = 1
        y = 2
        m = 4
        a_m = 0.05
        phi_m = 25 * np.pi / 180.
        f_xx, f_xy, f_yx, f_yy = self.Multipole.hessian(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(f_xx, -0.016042338, decimal=6)
        npt.assert_almost_equal(f_yy, -0.004010584, decimal=6)
        npt.assert_almost_equal(f_xy, 0.008021169, decimal=6)
        npt.assert_almost_equal(f_xy, f_yx, decimal=8)
        x = np.array([1])
        y = np.array([2])
        f_xx, f_xy, f_yx, f_yy = self.Multipole.hessian(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(f_xx[0], -0.016042338, decimal=6)
        npt.assert_almost_equal(f_yy[0], -0.004010584, decimal=6)
        npt.assert_almost_equal(f_xy[0], 0.008021169, decimal=6)
        x = np.array([1,3,4])
        y = np.array([2,1,1])
        values = self.Multipole.hessian(x, y, m, a_m, phi_m)
        npt.assert_almost_equal(values[0][0], -0.016042338, decimal=6)
        npt.assert_almost_equal(values[3][0], -0.004010584, decimal=6)
        npt.assert_almost_equal(values[1][0], 0.008021169, decimal=6)
        npt.assert_almost_equal(values[0][1], 0.001417956, decimal=6)
        npt.assert_almost_equal(values[3][1], 0.012761602, decimal=6)
        npt.assert_almost_equal(values[1][1], -0.004253867, decimal=6)
    def _import_class(lens_type, custom_class, z_lens=None, z_source=None):
        """

        :param lens_type: string, lens model type
        :param custom_class: custom class
        :param z_lens: lens redshift  # currently only used in NFW_MC model as this is redshift dependent
        :param z_source: source redshift  # currently only used in NFW_MC model as this is redshift dependent
        :return: class instance of the lens model type
        """

        if lens_type == 'SHIFT':
            from lenstronomy.LensModel.Profiles.alpha_shift import Shift
            return Shift()
        elif lens_type == 'NIE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.nie_potential import NIE_POTENTIAL
            return NIE_POTENTIAL()
        elif lens_type == 'CONST_MAG':
            from lenstronomy.LensModel.Profiles.const_mag import ConstMag
            return ConstMag()
        elif lens_type == 'SHEAR':
            from lenstronomy.LensModel.Profiles.shear import Shear
            return Shear()
        elif lens_type == 'SHEAR_GAMMA_PSI':
            from lenstronomy.LensModel.Profiles.shear import ShearGammaPsi
            return ShearGammaPsi()
        elif lens_type == 'CONVERGENCE':
            from lenstronomy.LensModel.Profiles.convergence import Convergence
            return Convergence()
        elif lens_type == 'FLEXION':
            from lenstronomy.LensModel.Profiles.flexion import Flexion
            return Flexion()
        elif lens_type == 'FLEXIONFG':
            from lenstronomy.LensModel.Profiles.flexionfg import Flexionfg
            return Flexionfg()
        elif lens_type == 'POINT_MASS':
            from lenstronomy.LensModel.Profiles.point_mass import PointMass
            return PointMass()
        elif lens_type == 'SIS':
            from lenstronomy.LensModel.Profiles.sis import SIS
            return SIS()
        elif lens_type == 'SIS_TRUNCATED':
            from lenstronomy.LensModel.Profiles.sis_truncate import SIS_truncate
            return SIS_truncate()
        elif lens_type == 'SIE':
            from lenstronomy.LensModel.Profiles.sie import SIE
            return SIE()
        elif lens_type == 'SPP':
            from lenstronomy.LensModel.Profiles.spp import SPP
            return SPP()
        elif lens_type == 'NIE':
            from lenstronomy.LensModel.Profiles.nie import NIE
            return NIE()
        elif lens_type == 'NIE_SIMPLE':
            from lenstronomy.LensModel.Profiles.nie import NIEMajorAxis
            return NIEMajorAxis()
        elif lens_type == 'CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import Chameleon
            return Chameleon()
        elif lens_type == 'DOUBLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import DoubleChameleon
            return DoubleChameleon()
        elif lens_type == 'TRIPLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import TripleChameleon
            return TripleChameleon()
        elif lens_type == 'SPEP':
            from lenstronomy.LensModel.Profiles.spep import SPEP
            return SPEP()
        elif lens_type == 'PEMD':
            from lenstronomy.LensModel.Profiles.pemd import PEMD
            return PEMD()
        elif lens_type == 'SPEMD':
            from lenstronomy.LensModel.Profiles.spemd import SPEMD
            return SPEMD()
        elif lens_type == 'EPL':
            from lenstronomy.LensModel.Profiles.epl import EPL
            return EPL()
        elif lens_type == 'NFW':
            from lenstronomy.LensModel.Profiles.nfw import NFW
            return NFW()
        elif lens_type == 'NFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.nfw_ellipse import NFW_ELLIPSE
            return NFW_ELLIPSE()
        elif lens_type == 'NFW_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import NFWEllipseGaussDec
            return NFWEllipseGaussDec()
        elif lens_type == 'TNFW':
            from lenstronomy.LensModel.Profiles.tnfw import TNFW
            return TNFW()
        elif lens_type == 'CNFW':
            from lenstronomy.LensModel.Profiles.cnfw import CNFW
            return CNFW()
        elif lens_type == 'CNFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.cnfw_ellipse import CNFW_ELLIPSE
            return CNFW_ELLIPSE()
        elif lens_type == 'CTNFW_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import CTNFWGaussDec
            return CTNFWGaussDec()
        elif lens_type == 'NFW_MC':
            from lenstronomy.LensModel.Profiles.nfw_mass_concentration import NFWMC
            return NFWMC(z_lens=z_lens, z_source=z_source)
        elif lens_type == 'SERSIC':
            from lenstronomy.LensModel.Profiles.sersic import Sersic
            return Sersic()
        elif lens_type == 'SERSIC_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_potential import SersicEllipse
            return SersicEllipse()
        elif lens_type == 'SERSIC_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_kappa import SersicEllipseKappa
            return SersicEllipseKappa()
        elif lens_type == 'SERSIC_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition \
                import SersicEllipseGaussDec
            return SersicEllipseGaussDec()
        elif lens_type == 'PJAFFE':
            from lenstronomy.LensModel.Profiles.p_jaffe import PJaffe
            return PJaffe()
        elif lens_type == 'PJAFFE_ELLIPSE':
            from lenstronomy.LensModel.Profiles.p_jaffe_ellipse import PJaffe_Ellipse
            return PJaffe_Ellipse()
        elif lens_type == 'HERNQUIST':
            from lenstronomy.LensModel.Profiles.hernquist import Hernquist
            return Hernquist()
        elif lens_type == 'HERNQUIST_ELLIPSE':
            from lenstronomy.LensModel.Profiles.hernquist_ellipse import Hernquist_Ellipse
            return Hernquist_Ellipse()
        elif lens_type == 'GAUSSIAN':
            from lenstronomy.LensModel.Profiles.gaussian_potential import Gaussian
            return Gaussian()
        elif lens_type == 'GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_kappa import GaussianKappa
            return GaussianKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_kappa import GaussianEllipseKappa
            return GaussianEllipseKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_potential import GaussianEllipsePotential
            return GaussianEllipsePotential()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappa
            return MultiGaussianKappa()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA_ELLIPSE':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappaEllipse
            return MultiGaussianKappaEllipse()
        elif lens_type == 'INTERPOL':
            from lenstronomy.LensModel.Profiles.interpol import Interpol
            return Interpol()
        elif lens_type == 'INTERPOL_SCALED':
            from lenstronomy.LensModel.Profiles.interpol import InterpolScaled
            return InterpolScaled()
        elif lens_type == 'SHAPELETS_POLAR':
            from lenstronomy.LensModel.Profiles.shapelet_pot_polar import PolarShapelets
            return PolarShapelets()
        elif lens_type == 'SHAPELETS_CART':
            from lenstronomy.LensModel.Profiles.shapelet_pot_cartesian import CartShapelets
            return CartShapelets()
        elif lens_type == 'DIPOLE':
            from lenstronomy.LensModel.Profiles.dipole import Dipole
            return Dipole()
        elif lens_type == 'CURVED_ARC':
            from lenstronomy.LensModel.Profiles.curved_arc import CurvedArc
            return CurvedArc()
        elif lens_type == 'ARC_PERT':
            from lenstronomy.LensModel.Profiles.arc_perturbations import ArcPerturbations
            return ArcPerturbations()
        elif lens_type == 'coreBURKERT':
            from lenstronomy.LensModel.Profiles.coreBurkert import CoreBurkert
            return CoreBurkert()
        elif lens_type == 'CORED_DENSITY':
            from lenstronomy.LensModel.Profiles.cored_density import CoredDensity
            return CoredDensity()
        elif lens_type == 'CORED_DENSITY_2':
            from lenstronomy.LensModel.Profiles.cored_density_2 import CoredDensity2
            return CoredDensity2()
        elif lens_type == 'CORED_DENSITY_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY')
        elif lens_type == 'CORED_DENSITY_2_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_2')
        elif lens_type == 'NumericalAlpha':
            from lenstronomy.LensModel.Profiles.numerical_deflections import NumericalAlpha
            return NumericalAlpha(custom_class)
        elif lens_type == 'MULTIPOLE':
            from lenstronomy.LensModel.Profiles.multipole import Multipole
            return Multipole()
        else:
            raise ValueError('%s is not a valid lens model' % lens_type)
示例#3
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 def setup(self):
     self.Multipole = Multipole()
示例#4
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    def _import_class(lens_type,
                      custom_class,
                      kwargs_interp,
                      z_lens=None,
                      z_source=None):
        """

        :param lens_type: string, lens model type
        :param custom_class: custom class
        :param z_lens: lens redshift  # currently only used in NFW_MC model as this is redshift dependent
        :param z_source: source redshift  # currently only used in NFW_MC model as this is redshift dependent
        :param kwargs_interp: interpolation keyword arguments specifying the numerics.
         See description in the Interpolate() class. Only applicable for 'INTERPOL' and 'INTERPOL_SCALED' models.
        :return: class instance of the lens model type
        """

        if lens_type == 'SHIFT':
            from lenstronomy.LensModel.Profiles.constant_shift import Shift
            return Shift()
        elif lens_type == 'NIE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.nie_potential import NIE_POTENTIAL
            return NIE_POTENTIAL()
        elif lens_type == 'CONST_MAG':
            from lenstronomy.LensModel.Profiles.const_mag import ConstMag
            return ConstMag()
        elif lens_type == 'SHEAR':
            from lenstronomy.LensModel.Profiles.shear import Shear
            return Shear()
        elif lens_type == 'SHEAR_GAMMA_PSI':
            from lenstronomy.LensModel.Profiles.shear import ShearGammaPsi
            return ShearGammaPsi()
        elif lens_type == 'SHEAR_REDUCED':
            from lenstronomy.LensModel.Profiles.shear import ShearReduced
            return ShearReduced()
        elif lens_type == 'CONVERGENCE':
            from lenstronomy.LensModel.Profiles.convergence import Convergence
            return Convergence()
        elif lens_type == 'HESSIAN':
            from lenstronomy.LensModel.Profiles.hessian import Hessian
            return Hessian()
        elif lens_type == 'FLEXION':
            from lenstronomy.LensModel.Profiles.flexion import Flexion
            return Flexion()
        elif lens_type == 'FLEXIONFG':
            from lenstronomy.LensModel.Profiles.flexionfg import Flexionfg
            return Flexionfg()
        elif lens_type == 'POINT_MASS':
            from lenstronomy.LensModel.Profiles.point_mass import PointMass
            return PointMass()
        elif lens_type == 'SIS':
            from lenstronomy.LensModel.Profiles.sis import SIS
            return SIS()
        elif lens_type == 'SIS_TRUNCATED':
            from lenstronomy.LensModel.Profiles.sis_truncate import SIS_truncate
            return SIS_truncate()
        elif lens_type == 'SIE':
            from lenstronomy.LensModel.Profiles.sie import SIE
            return SIE()
        elif lens_type == 'SPP':
            from lenstronomy.LensModel.Profiles.spp import SPP
            return SPP()
        elif lens_type == 'NIE':
            from lenstronomy.LensModel.Profiles.nie import NIE
            return NIE()
        elif lens_type == 'NIE_SIMPLE':
            from lenstronomy.LensModel.Profiles.nie import NIEMajorAxis
            return NIEMajorAxis()
        elif lens_type == 'CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import Chameleon
            return Chameleon()
        elif lens_type == 'DOUBLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import DoubleChameleon
            return DoubleChameleon()
        elif lens_type == 'TRIPLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import TripleChameleon
            return TripleChameleon()
        elif lens_type == 'SPEP':
            from lenstronomy.LensModel.Profiles.spep import SPEP
            return SPEP()
        elif lens_type == 'PEMD':
            from lenstronomy.LensModel.Profiles.pemd import PEMD
            return PEMD()
        elif lens_type == 'SPEMD':
            from lenstronomy.LensModel.Profiles.spemd import SPEMD
            return SPEMD()
        elif lens_type == 'EPL':
            from lenstronomy.LensModel.Profiles.epl import EPL
            return EPL()
        elif lens_type == 'EPL_NUMBA':
            from lenstronomy.LensModel.Profiles.epl_numba import EPL_numba
            return EPL_numba()
        elif lens_type == 'SPL_CORE':
            from lenstronomy.LensModel.Profiles.splcore import SPLCORE
            return SPLCORE()
        elif lens_type == 'NFW':
            from lenstronomy.LensModel.Profiles.nfw import NFW
            return NFW()
        elif lens_type == 'NFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.nfw_ellipse import NFW_ELLIPSE
            return NFW_ELLIPSE()
        elif lens_type == 'NFW_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import NFWEllipseGaussDec
            return NFWEllipseGaussDec()
        elif lens_type == 'NFW_ELLIPSE_CSE':
            from lenstronomy.LensModel.Profiles.nfw_ellipse_cse import NFW_ELLIPSE_CSE
            return NFW_ELLIPSE_CSE()
        elif lens_type == 'TNFW':
            from lenstronomy.LensModel.Profiles.tnfw import TNFW
            return TNFW()
        elif lens_type == 'TNFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.tnfw_ellipse import TNFW_ELLIPSE
            return TNFW_ELLIPSE()
        elif lens_type == 'CNFW':
            from lenstronomy.LensModel.Profiles.cnfw import CNFW
            return CNFW()
        elif lens_type == 'CNFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.cnfw_ellipse import CNFW_ELLIPSE
            return CNFW_ELLIPSE()
        elif lens_type == 'CTNFW_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import CTNFWGaussDec
            return CTNFWGaussDec()
        elif lens_type == 'NFW_MC':
            from lenstronomy.LensModel.Profiles.nfw_mass_concentration import NFWMC
            return NFWMC(z_lens=z_lens, z_source=z_source)
        elif lens_type == 'SERSIC':
            from lenstronomy.LensModel.Profiles.sersic import Sersic
            return Sersic()
        elif lens_type == 'SERSIC_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_potential import SersicEllipse
            return SersicEllipse()
        elif lens_type == 'SERSIC_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_kappa import SersicEllipseKappa
            return SersicEllipseKappa()
        elif lens_type == 'SERSIC_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import SersicEllipseGaussDec
            return SersicEllipseGaussDec()
        elif lens_type == 'PJAFFE':
            from lenstronomy.LensModel.Profiles.p_jaffe import PJaffe
            return PJaffe()
        elif lens_type == 'PJAFFE_ELLIPSE':
            from lenstronomy.LensModel.Profiles.p_jaffe_ellipse import PJaffe_Ellipse
            return PJaffe_Ellipse()
        elif lens_type == 'HERNQUIST':
            from lenstronomy.LensModel.Profiles.hernquist import Hernquist
            return Hernquist()
        elif lens_type == 'HERNQUIST_ELLIPSE':
            from lenstronomy.LensModel.Profiles.hernquist_ellipse import Hernquist_Ellipse
            return Hernquist_Ellipse()
        elif lens_type == 'HERNQUIST_ELLIPSE_CSE':
            from lenstronomy.LensModel.Profiles.hernquist_ellipse_cse import HernquistEllipseCSE
            return HernquistEllipseCSE()
        elif lens_type == 'GAUSSIAN':
            from lenstronomy.LensModel.Profiles.gaussian_potential import Gaussian
            return Gaussian()
        elif lens_type == 'GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_kappa import GaussianKappa
            return GaussianKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_kappa import GaussianEllipseKappa
            return GaussianEllipseKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_potential import GaussianEllipsePotential
            return GaussianEllipsePotential()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappa
            return MultiGaussianKappa()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA_ELLIPSE':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappaEllipse
            return MultiGaussianKappaEllipse()
        elif lens_type == 'INTERPOL':
            from lenstronomy.LensModel.Profiles.interpol import Interpol
            return Interpol(**kwargs_interp)
        elif lens_type == 'INTERPOL_SCALED':
            from lenstronomy.LensModel.Profiles.interpol import InterpolScaled
            return InterpolScaled(**kwargs_interp)
        elif lens_type == 'SHAPELETS_POLAR':
            from lenstronomy.LensModel.Profiles.shapelet_pot_polar import PolarShapelets
            return PolarShapelets()
        elif lens_type == 'SHAPELETS_CART':
            from lenstronomy.LensModel.Profiles.shapelet_pot_cartesian import CartShapelets
            return CartShapelets()
        elif lens_type == 'DIPOLE':
            from lenstronomy.LensModel.Profiles.dipole import Dipole
            return Dipole()
        elif lens_type == 'CURVED_ARC_CONST':
            from lenstronomy.LensModel.Profiles.curved_arc_const import CurvedArcConst
            return CurvedArcConst()
        elif lens_type == 'CURVED_ARC_CONST_MST':
            from lenstronomy.LensModel.Profiles.curved_arc_const import CurvedArcConstMST
            return CurvedArcConstMST()
        elif lens_type == 'CURVED_ARC_SPP':
            from lenstronomy.LensModel.Profiles.curved_arc_spp import CurvedArcSPP
            return CurvedArcSPP()
        elif lens_type == 'CURVED_ARC_SIS_MST':
            from lenstronomy.LensModel.Profiles.curved_arc_sis_mst import CurvedArcSISMST
            return CurvedArcSISMST()
        elif lens_type == 'CURVED_ARC_SPT':
            from lenstronomy.LensModel.Profiles.curved_arc_spt import CurvedArcSPT
            return CurvedArcSPT()
        elif lens_type == 'CURVED_ARC_TAN_DIFF':
            from lenstronomy.LensModel.Profiles.curved_arc_tan_diff import CurvedArcTanDiff
            return CurvedArcTanDiff()
        elif lens_type == 'ARC_PERT':
            from lenstronomy.LensModel.Profiles.arc_perturbations import ArcPerturbations
            return ArcPerturbations()
        elif lens_type == 'coreBURKERT':
            from lenstronomy.LensModel.Profiles.coreBurkert import CoreBurkert
            return CoreBurkert()
        elif lens_type == 'CORED_DENSITY':
            from lenstronomy.LensModel.Profiles.cored_density import CoredDensity
            return CoredDensity()
        elif lens_type == 'CORED_DENSITY_2':
            from lenstronomy.LensModel.Profiles.cored_density_2 import CoredDensity2
            return CoredDensity2()
        elif lens_type == 'CORED_DENSITY_EXP':
            from lenstronomy.LensModel.Profiles.cored_density_exp import CoredDensityExp
            return CoredDensityExp()
        elif lens_type == 'CORED_DENSITY_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY')
        elif lens_type == 'CORED_DENSITY_2_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_2')
        elif lens_type == 'CORED_DENSITY_EXP_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_EXP')
        elif lens_type == 'NumericalAlpha':
            from lenstronomy.LensModel.Profiles.numerical_deflections import NumericalAlpha
            return NumericalAlpha(custom_class)
        elif lens_type == 'MULTIPOLE':
            from lenstronomy.LensModel.Profiles.multipole import Multipole
            return Multipole()
        elif lens_type == 'CSE':
            from lenstronomy.LensModel.Profiles.cored_steep_ellipsoid import CSE
            return CSE()
        elif lens_type == 'ElliSLICE':
            from lenstronomy.LensModel.Profiles.elliptical_density_slice import ElliSLICE
            return ElliSLICE()
        elif lens_type == 'ULDM':
            from lenstronomy.LensModel.Profiles.uldm import Uldm
            return Uldm()
        elif lens_type == 'CORED_DENSITY_ULDM_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_ULDM')
        else:
            raise ValueError(
                '%s is not a valid lens model. Supported are: %s.' %
                (lens_type, _SUPPORTED_MODELS))