def test_hessian(self):
"""
:return:
"""
triplechameleon = TripleChameleon()
chameleon = Chameleon()
x = np.linspace(0.1, 10, 10)
phi_G, q = 0.3, 0.8
ratio12 = 2.
ratio13 = 3
e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
kwargs_lens = {'alpha_1': 1., 'ratio12': ratio12, 'ratio13': ratio13, 'w_c1': .5, 'w_t1': 1., 'e11': e1,
'e21': e2,
'w_c2': .1, 'w_t2': .5, 'e12': e1, 'e22': e2,
'w_c3': .1, 'w_t3': .5, 'e13': e1, 'e23': e2
}
kwargs_light = {'amp': 1., 'ratio12': ratio12, 'ratio13': ratio13, 'w_c1': .5, 'w_t1': 1., 'e11': e1,
'e21': e2,
'w_c2': .1, 'w_t2': .5, 'e12': e1, 'e22': e2,
'w_c3': .1, 'w_t3': .5, 'e13': e1, 'e23': e2
}
amp1 = 1. / (1. + 1. / ratio12 + 1. / ratio13)
amp2 = amp1 / ratio12
amp3 = amp1 / ratio13
kwargs_1 = {'alpha_1': amp1, 'w_c': .5, 'w_t': 1., 'e1': e1, 'e2': e2}
kwargs_2 = {'alpha_1': amp2, 'w_c': .1, 'w_t': .5, 'e1': e1, 'e2': e2}
kwargs_3 = {'alpha_1': amp3, 'w_c': .1, 'w_t': .5, 'e1': e1, 'e2': e2}
f_xx, f_yy, f_xy = triplechameleon.hessian(x=x, y=1., **kwargs_lens)
f_xx1, f_yy1, f_xy1 = chameleon.hessian(x=x, y=1., **kwargs_1)
f_xx2, f_yy2, f_xy2 = chameleon.hessian(x=x, y=1., **kwargs_2)
f_xx3, f_yy3, f_xy3 = chameleon.hessian(x=x, y=1., **kwargs_3)
npt.assert_almost_equal(f_xx, f_xx1 + f_xx2 + f_xx3, decimal=8)
npt.assert_almost_equal(f_yy, f_yy1 + f_yy2 + f_yy3, decimal=8)
npt.assert_almost_equal(f_xy, f_xy1 + f_xy2 + f_xy3, decimal=8)
light = TripleChameleonLight()
f_xx, f_yy, f_xy = triplechameleon.hessian(x=np.linspace(0, 1, 10), y=np.zeros(10), **kwargs_lens)
kappa = 1./2 * (f_xx + f_yy)
kappa_norm = kappa / np.mean(kappa)
flux = light.function(x=np.linspace(0, 1, 10), y=np.zeros(10), **kwargs_light)
flux_norm = flux / np.mean(flux)
npt.assert_almost_equal(kappa_norm, flux_norm, decimal=5)
def test_function(self):
"""
:return:
"""
chameleon = Chameleon()
triplechameleon = TripleChameleon()
x = np.linspace(0.1, 10, 10)
phi_G, q = 0.3, 0.8
ratio12 = 2.
ratio13 = 3
e1, e2 = param_util.phi_q2_ellipticity(phi_G, q)
kwargs_light = {
'amp': 1.,
'ratio12': ratio12,
'ratio13': ratio13,
'w_c1': .5,
'w_t1': 1.,
'e11': e1,
'e21': e2,
'w_c2': .1,
'w_t2': .5,
'e12': e1,
'e22': e2,
'w_c3': .1,
'w_t3': .5,
'e13': e1,
'e23': e2
}
amp1 = 1. / (1. + 1. / ratio12 + 1. / ratio13)
amp2 = amp1 / ratio12
amp3 = amp1 / ratio13
kwargs_1 = {'amp': amp1, 'w_c': .5, 'w_t': 1., 'e1': e1, 'e2': e2}
kwargs_2 = {'amp': amp2, 'w_c': .1, 'w_t': .5, 'e1': e1, 'e2': e2}
kwargs_3 = {'amp': amp3, 'w_c': .1, 'w_t': .5, 'e1': e1, 'e2': e2}
flux = triplechameleon.function(x=x, y=1., **kwargs_light)
flux1 = chameleon.function(x=x, y=1., **kwargs_1)
flux2 = chameleon.function(x=x, y=1., **kwargs_2)
flux3 = chameleon.function(x=x, y=1., **kwargs_3)
npt.assert_almost_equal(flux, flux1 + flux2 + flux3, decimal=8)
def __init__(self, light_model_list, smoothing=0.001):
"""
:param light_model_list: list of light models
:param smoothing: smoothing factor for certain models (deprecated)
"""
self.profile_type_list = light_model_list
self.func_list = []
for profile_type in light_model_list:
if profile_type == 'GAUSSIAN':
from lenstronomy.LightModel.Profiles.gaussian import Gaussian
self.func_list.append(Gaussian())
elif profile_type == 'GAUSSIAN_ELLIPSE':
from lenstronomy.LightModel.Profiles.gaussian import GaussianEllipse
self.func_list.append(GaussianEllipse())
elif profile_type == 'ELLIPSOID':
from lenstronomy.LightModel.Profiles.ellipsoid import Ellipsoid
self.func_list.append(Ellipsoid())
elif profile_type == 'MULTI_GAUSSIAN':
from lenstronomy.LightModel.Profiles.gaussian import MultiGaussian
self.func_list.append(MultiGaussian())
elif profile_type == 'MULTI_GAUSSIAN_ELLIPSE':
from lenstronomy.LightModel.Profiles.gaussian import MultiGaussianEllipse
self.func_list.append(MultiGaussianEllipse())
elif profile_type == 'SERSIC':
from lenstronomy.LightModel.Profiles.sersic import Sersic
self.func_list.append(Sersic(smoothing=smoothing))
elif profile_type == 'SERSIC_ELLIPSE':
from lenstronomy.LightModel.Profiles.sersic import SersicElliptic
self.func_list.append(
SersicElliptic(smoothing=smoothing,
sersic_major_axis=sersic_major_axis_conf))
elif profile_type == 'CORE_SERSIC':
from lenstronomy.LightModel.Profiles.sersic import CoreSersic
self.func_list.append(CoreSersic(smoothing=smoothing))
elif profile_type == 'SHAPELETS':
from lenstronomy.LightModel.Profiles.shapelets import ShapeletSet
self.func_list.append(ShapeletSet())
elif profile_type == 'SHAPELETS_POLAR':
from lenstronomy.LightModel.Profiles.shapelets_polar import ShapeletSetPolar
self.func_list.append(ShapeletSetPolar(exponential=False))
elif profile_type == 'SHAPELETS_POLAR_EXP':
from lenstronomy.LightModel.Profiles.shapelets_polar import ShapeletSetPolar
self.func_list.append(ShapeletSetPolar(exponential=True))
elif profile_type == 'HERNQUIST':
from lenstronomy.LightModel.Profiles.hernquist import Hernquist
self.func_list.append(Hernquist())
elif profile_type == 'HERNQUIST_ELLIPSE':
from lenstronomy.LightModel.Profiles.hernquist import HernquistEllipse
self.func_list.append(HernquistEllipse())
elif profile_type == 'PJAFFE':
from lenstronomy.LightModel.Profiles.p_jaffe import PJaffe
self.func_list.append(PJaffe())
elif profile_type == 'PJAFFE_ELLIPSE':
from lenstronomy.LightModel.Profiles.p_jaffe import PJaffe_Ellipse
self.func_list.append(PJaffe_Ellipse())
elif profile_type == 'UNIFORM':
from lenstronomy.LightModel.Profiles.uniform import Uniform
self.func_list.append(Uniform())
elif profile_type == 'POWER_LAW':
from lenstronomy.LightModel.Profiles.power_law import PowerLaw
self.func_list.append(PowerLaw())
elif profile_type == 'NIE':
from lenstronomy.LightModel.Profiles.nie import NIE
self.func_list.append(NIE())
elif profile_type == 'CHAMELEON':
from lenstronomy.LightModel.Profiles.chameleon import Chameleon
self.func_list.append(Chameleon())
elif profile_type == 'DOUBLE_CHAMELEON':
from lenstronomy.LightModel.Profiles.chameleon import DoubleChameleon
self.func_list.append(DoubleChameleon())
elif profile_type == 'TRIPLE_CHAMELEON':
from lenstronomy.LightModel.Profiles.chameleon import TripleChameleon
self.func_list.append(TripleChameleon())
elif profile_type == 'INTERPOL':
from lenstronomy.LightModel.Profiles.interpolation import Interpol
self.func_list.append(Interpol())
elif profile_type == 'SLIT_STARLETS':
from lenstronomy.LightModel.Profiles.starlets import SLIT_Starlets
self.func_list.append(
SLIT_Starlets(fast_inverse=True, second_gen=False))
elif profile_type == 'SLIT_STARLETS_GEN2':
from lenstronomy.LightModel.Profiles.starlets import SLIT_Starlets
self.func_list.append(SLIT_Starlets(second_gen=True))
else:
raise ValueError(
'No light model of type %s found! Supported are the following models: %s'
% (profile_type, _MODELS_SUPPORTED))
self._num_func = len(self.func_list)
def __init__(self, light_model_list, smoothing=0.0000001):
"""
:param light_model_list: list of light models
:param deflection_scaling_list: list of floats, rescales the original reduced deflection angles from the lens model
to enable different models to be placed at different optical (redshift) distances. None means they are all
:param source_redshift_list: list of redshifts of the model components
:param smoothing: smoothing factor for certain models (deprecated)
"""
self.profile_type_list = light_model_list
self.func_list = []
for profile_type in light_model_list:
if profile_type == 'GAUSSIAN':
from lenstronomy.LightModel.Profiles.gaussian import Gaussian
self.func_list.append(Gaussian())
elif profile_type == 'GAUSSIAN_ELLIPSE':
from lenstronomy.LightModel.Profiles.gaussian import GaussianEllipse
self.func_list.append(GaussianEllipse())
elif profile_type == 'MULTI_GAUSSIAN':
from lenstronomy.LightModel.Profiles.gaussian import MultiGaussian
self.func_list.append(MultiGaussian())
elif profile_type == 'MULTI_GAUSSIAN_ELLIPSE':
from lenstronomy.LightModel.Profiles.gaussian import MultiGaussianEllipse
self.func_list.append(MultiGaussianEllipse())
elif profile_type == 'SERSIC':
from lenstronomy.LightModel.Profiles.sersic import Sersic
self.func_list.append(Sersic(smoothing=smoothing))
elif profile_type == 'SERSIC_ELLIPSE':
from lenstronomy.LightModel.Profiles.sersic import SersicElliptic
self.func_list.append(SersicElliptic(smoothing=smoothing))
elif profile_type == 'CORE_SERSIC':
from lenstronomy.LightModel.Profiles.sersic import CoreSersic
self.func_list.append(CoreSersic(smoothing=smoothing))
elif profile_type == 'SHAPELETS':
from lenstronomy.LightModel.Profiles.shapelets import ShapeletSet
self.func_list.append(ShapeletSet())
elif profile_type == 'SHAPELETS_POLAR':
from lenstronomy.LightModel.Profiles.shapelets_polar import ShapeletSetPolar
self.func_list.append(ShapeletSetPolar(exponential=False))
elif profile_type == 'SHAPELETS_POLAR_EXP':
from lenstronomy.LightModel.Profiles.shapelets_polar import ShapeletSetPolar
self.func_list.append(ShapeletSetPolar(exponential=True))
elif profile_type == 'HERNQUIST':
from lenstronomy.LightModel.Profiles.hernquist import Hernquist
self.func_list.append(Hernquist())
elif profile_type == 'HERNQUIST_ELLIPSE':
from lenstronomy.LightModel.Profiles.hernquist import HernquistEllipse
self.func_list.append(HernquistEllipse())
elif profile_type == 'PJAFFE':
from lenstronomy.LightModel.Profiles.p_jaffe import PJaffe
self.func_list.append(PJaffe())
elif profile_type == 'PJAFFE_ELLIPSE':
from lenstronomy.LightModel.Profiles.p_jaffe import PJaffe_Ellipse
self.func_list.append(PJaffe_Ellipse())
elif profile_type == 'UNIFORM':
from lenstronomy.LightModel.Profiles.uniform import Uniform
self.func_list.append(Uniform())
elif profile_type == 'POWER_LAW':
from lenstronomy.LightModel.Profiles.power_law import PowerLaw
self.func_list.append(PowerLaw())
elif profile_type == 'NIE':
from lenstronomy.LightModel.Profiles.nie import NIE
self.func_list.append(NIE())
elif profile_type == 'CHAMELEON':
from lenstronomy.LightModel.Profiles.chameleon import Chameleon
self.func_list.append(Chameleon())
elif profile_type == 'DOUBLE_CHAMELEON':
from lenstronomy.LightModel.Profiles.chameleon import DoubleChameleon
self.func_list.append(DoubleChameleon())
elif profile_type == 'TRIPLE_CHAMELEON':
from lenstronomy.LightModel.Profiles.chameleon import TripleChameleon
self.func_list.append(TripleChameleon())
elif profile_type == 'INTERPOL':
from lenstronomy.LightModel.Profiles.interpolation import Interpol
self.func_list.append(Interpol())
else:
raise ValueError('Warning! No light model of type',
profile_type, ' found!')