Esempio n. 1
0
    def test_force_positive_source_surface_brightness(self):
        kwargs_likelihood = {'force_minimum_source_surface_brightness': True}
        kwargs_model = {'source_light_model_list': ['SERSIC']}

        kwargs_constraints = {}
        param_class = Param(kwargs_model, **kwargs_constraints)

        kwargs_data = sim_util.data_configure_simple(numPix=10, deltaPix=0.1, exposure_time=1, sigma_bkg=0.1)
        data_class = ImageData(**kwargs_data)
        kwargs_psf = {'psf_type': 'NONE'}
        psf_class = PSF(**kwargs_psf)
        kwargs_sersic = {'amp': -1., 'R_sersic': 0.1, 'n_sersic': 2, 'center_x': 0, 'center_y': 0}
        source_model_list = ['SERSIC']
        kwargs_source = [kwargs_sersic]
        source_model_class = LightModel(light_model_list=source_model_list)

        imageModel = ImageModel(data_class, psf_class, lens_model_class=None, source_model_class=source_model_class)

        image_sim = sim_util.simulate_simple(imageModel, [], kwargs_source)

        kwargs_data['image_data'] = image_sim
        kwargs_data_joint = {'multi_band_list': [[kwargs_data, kwargs_psf, {}]], 'multi_band_type': 'single-band'}
        likelihood = LikelihoodModule(kwargs_data_joint=kwargs_data_joint, kwargs_model=kwargs_model, param_class=param_class, **kwargs_likelihood)

        logL, _ = likelihood.logL(args=param_class.kwargs2args(kwargs_source=kwargs_source), verbose=True)
        assert logL <= -10**10
Esempio n. 2
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    def test_time_delay_likelihood(self):
        kwargs_likelihood = {'time_delay_likelihood': True,
                             }
        likelihood = LikelihoodModule(kwargs_data_joint=self.kwargs_data, kwargs_model=self.kwargs_model, param_class=self.param_class, **kwargs_likelihood)
        args = self.param_class.kwargs2args(kwargs_lens=self.kwargs_lens, kwargs_source=self.kwargs_source,
                                            kwargs_lens_light=self.kwargs_lens_light, kwargs_ps=self.kwargs_ps, kwargs_special=self.kwargs_cosmo)

        logL = likelihood.logL(args, verbose=True)
        npt.assert_almost_equal(logL, -3097.189103539873, decimal=-1)
Esempio n. 3
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    def test_pixelbased_modelling(self):
        ss_source = 2
        numPix_source = self.numPix*ss_source
        n_scales = 3
        kwargs_pixelbased = {
            'source_interpolation': 'nearest',
            'supersampling_factor_source': ss_source, # supersampling of pixelated source grid

            # following choices are to minimize pixel solver runtime (not to get accurate reconstruction!)
            'threshold_decrease_type': 'none',
            'num_iter_source': 2,
            'num_iter_lens': 2,
            'num_iter_global': 2,
            'num_iter_weights': 2,
        }
        kwargs_likelihood = {
             'image_likelihood': True,
             'kwargs_pixelbased': kwargs_pixelbased,
             'check_positive_flux': True,  # effectively not applied, activated for code coverage purposes
        }
        kernel = PSF(**self.kwargs_psf).kernel_point_source
        kwargs_psf = {'psf_type': 'PIXEL', 'kernel_point_source': kernel}
        kwargs_numerics = {'supersampling_factor': 1}
        kwargs_data = {'multi_band_list': [[self.kwargs_band, kwargs_psf, kwargs_numerics]]}
        kwargs_model = {
            'lens_model_list': ['SPEP'],
            'lens_light_model_list': ['SLIT_STARLETS'],
            'source_light_model_list': ['SLIT_STARLETS'],
        }
        
        kwargs_fixed_source = [{'n_scales': n_scales, 'n_pixels': numPix_source**2, 'scale': 1, 'center_x': 0, 'center_y': 0}]
        kwargs_fixed_lens_light = [{'n_scales': n_scales, 'n_pixels': self.numPix**2, 'scale': 1, 'center_x': 0, 'center_y': 0}]
        kwargs_constraints = {'source_grid_offset': True}
        param_class = Param(kwargs_model, 
                            kwargs_fixed_source=kwargs_fixed_source, 
                            kwargs_fixed_lens_light=kwargs_fixed_lens_light,
                            **kwargs_constraints)

        likelihood = LikelihoodModule(kwargs_data_joint=kwargs_data, kwargs_model=kwargs_model, 
                                      param_class=param_class, **kwargs_likelihood)

        kwargs_source = [{'amp': np.ones(n_scales*numPix_source**2)}]
        kwargs_lens_light = [{'amp': np.ones(n_scales*self.numPix**2)}]
        kwargs_special = {'delta_x_source_grid': 0, 'delta_y_source_grid': 0}
        args = param_class.kwargs2args(kwargs_lens=self.kwargs_lens, kwargs_source=kwargs_source,
                                       kwargs_lens_light=kwargs_lens_light, kwargs_special=kwargs_special)

        logL = likelihood.logL(args, verbose=True)
        num_data_evaluate = likelihood.num_data
        npt.assert_almost_equal(logL/num_data_evaluate, -1/2., decimal=1)
    def test_time_delay_likelihood(self):
        kwargs_likelihood = {
            'time_delay_likelihood': True,
            'time_delays_measured': np.ones(4),
            'time_delays_uncertainties': np.ones(4)
        }
        likelihood = LikelihoodModule(imSim_class=self.imageModel,
                                      param_class=self.param_class,
                                      **kwargs_likelihood)
        args = self.param_class.kwargs2args(
            kwargs_lens=self.kwargs_lens,
            kwargs_source=self.kwargs_source,
            kwargs_lens_light=self.kwargs_lens_light,
            kwargs_ps=self.kwargs_ps,
            kwargs_cosmo=self.kwargs_cosmo)

        logL, _ = likelihood.logL(args)
        npt.assert_almost_equal(logL, -3340.79, decimal=-1)
    def test_force_positive_source_surface_brightness(self):
        kwargs_likelihood = {
            'force_positive_source_surface_brightness': True,
            'numPix_source': 10,
            'deltaPix_source': 0.1
        }
        kwargs_model = {'source_light_model_list': ['SERSIC']}

        kwargs_constraints = {}
        param_class = Param(kwargs_model, **kwargs_constraints)

        kwargs_data = sim_util.data_configure_simple(numPix=10,
                                                     deltaPix=0.1,
                                                     exposure_time=1,
                                                     sigma_bkg=0.1)
        data_class = Data(kwargs_data)
        kwargs_psf = {'psf_type': 'NONE'}
        psf_class = PSF(kwargs_psf)
        kwargs_sersic = {
            'amp': -1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        source_model_list = ['SERSIC']
        kwargs_source = [kwargs_sersic]
        source_model_class = LightModel(light_model_list=source_model_list)

        imageModel = ImageModel(data_class,
                                psf_class,
                                lens_model_class=None,
                                source_model_class=source_model_class)

        image_sim = sim_util.simulate_simple(imageModel, [], kwargs_source)

        data_class.update_data(image_sim)
        likelihood = LikelihoodModule(imSim_class=imageModel,
                                      param_class=param_class,
                                      **kwargs_likelihood)
        logL, _ = likelihood.logL(args=param_class.kwargs2args(
            kwargs_source=kwargs_source))
        assert logL <= -10**10
Esempio n. 6
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class TestLikelihoodModule(object):
    """
    test the fitting sequences
    """

    def setup(self):
        np.random.seed(42)

        # data specifics
        sigma_bkg = 0.05  # background noise per pixel
        exp_time = 100  # exposure time (arbitrary units, flux per pixel is in units #photons/exp_time unit)
        numPix = 50  # cutout pixel size
        deltaPix = 0.1  # pixel size in arcsec (area per pixel = deltaPix**2)
        fwhm = 0.5  # full width half max of PSF

        kwargs_model = {'lens_model_list': ['SPEP'],
                        'lens_light_model_list': ['SERSIC'],
                        'source_light_model_list': ['SERSIC'],
                        'point_source_model_list': ['SOURCE_POSITION'],
                        'fixed_magnification_list': [True]}

        # PSF specification
        kwargs_band = sim_util.data_configure_simple(numPix, deltaPix, exp_time, sigma_bkg)
        data_class = ImageData(**kwargs_band)
        kwargs_psf = {'psf_type': 'GAUSSIAN', 'fwhm': fwhm, 'pixel_size': deltaPix}
        psf_class = PSF(**kwargs_psf)
        print(np.shape(psf_class.kernel_point_source), 'test kernel shape -')
        kwargs_spep = {'theta_E': 1., 'gamma': 1.95, 'center_x': 0, 'center_y': 0, 'e1': 0.1, 'e2': 0.1}

        self.kwargs_lens = [kwargs_spep]
        kwargs_sersic = {'amp': 1/0.05**2., 'R_sersic': 0.1, 'n_sersic': 2, 'center_x': 0, 'center_y': 0}
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {'amp': 1., 'R_sersic': .6, 'n_sersic': 3, 'center_x': 0, 'center_y': 0}

        self.kwargs_lens_light = [kwargs_sersic]
        self.kwargs_source = [kwargs_sersic_ellipse]
        self.kwargs_ps = [{'ra_source': 0.55, 'dec_source': 0.02,
                           'source_amp': 1.}]  # quasar point source position in the source plane and intrinsic brightness
        self.kwargs_cosmo = {'D_dt': 1000}
        kwargs_numerics = {'supersampling_factor': 1, 'supersampling_convolution': False}
        lens_model_class, source_model_class, lens_light_model_class, point_source_class, extinction_class = class_creator.create_class_instances(**kwargs_model)
        imageModel = ImageModel(data_class, psf_class, lens_model_class, source_model_class,
                                lens_light_model_class, point_source_class, extinction_class, kwargs_numerics=kwargs_numerics)
        image_sim = sim_util.simulate_simple(imageModel, self.kwargs_lens, self.kwargs_source,
                                         self.kwargs_lens_light, self.kwargs_ps)
        ra_pos, dec_pos = imageModel.PointSource.image_position(kwargs_ps=self.kwargs_ps, kwargs_lens=self.kwargs_lens)

        data_class.update_data(image_sim)
        kwargs_band['image_data'] = image_sim
        self.data_class = data_class
        self.psf_class = psf_class

        self.kwargs_model = kwargs_model
        self.kwargs_numerics = {
            'supersampling_factor': 1,
            'supersampling_convolution': False}

        kwargs_constraints = {
                                   'num_point_source_list': [4],
                                   'solver_type': 'NONE',  # 'PROFILE', 'PROFILE_SHEAR', 'ELLIPSE', 'CENTER'
                                   'Ddt_sampling': True
                                   }

        def condition_definition(kwargs_lens, kwargs_source, kwargs_lens_light, kwargs_ps=None, kwargs_special=None, kwargs_extinction=None):
            logL = 0
            if kwargs_lens_light[0]['R_sersic'] > kwargs_source[0]['R_sersic']:
                logL -= 10**15
            return logL

        kwargs_likelihood = {'force_no_add_image': True,
                             'source_marg': True,
                             'astrometric_likelihood': True,
                             'image_position_uncertainty': 0.004,
                             'check_matched_source_position': False,
                             'source_position_tolerance': 0.001,
                             'source_position_sigma': 0.001,
                             'check_positive_flux': True,
                             'flux_ratio_likelihood': True,
                             'prior_lens': [[0, 'theta_E', 1, 0.1]],
                             'custom_logL_addition': condition_definition,
                             'image_position_likelihood': True
                             }
        self.kwargs_data = {'multi_band_list': [[kwargs_band, kwargs_psf, kwargs_numerics]], 'multi_band_type': 'single-band',
                            'time_delays_measured': np.ones(4),
                            'time_delays_uncertainties': np.ones(4),
                            'flux_ratios': np.ones(4),
                            'flux_ratio_errors': np.ones(4),
                            'ra_image_list': ra_pos,
                            'dec_image_list': dec_pos
                            }
        self.param_class = Param(self.kwargs_model, **kwargs_constraints)
        self.imageModel = ImageModel(data_class, psf_class, lens_model_class, source_model_class,
                                lens_light_model_class,
                                point_source_class, kwargs_numerics=kwargs_numerics)
        self.Likelihood = LikelihoodModule(kwargs_data_joint=self.kwargs_data, kwargs_model=kwargs_model, param_class=self.param_class, **kwargs_likelihood)
        self.kwargs_band = kwargs_band
        self.kwargs_psf = kwargs_psf
        self.numPix = numPix

    def test_logL(self):
        args = self.param_class.kwargs2args(kwargs_lens=self.kwargs_lens, kwargs_source=self.kwargs_source,
                                            kwargs_lens_light=self.kwargs_lens_light, kwargs_ps=self.kwargs_ps, kwargs_special=self.kwargs_cosmo)

        logL = self.Likelihood.logL(args, verbose=True)
        num_data_evaluate = self.Likelihood.num_data
        npt.assert_almost_equal(logL/num_data_evaluate, -1/2., decimal=1)

    def test_time_delay_likelihood(self):
        kwargs_likelihood = {'time_delay_likelihood': True,
                             }
        likelihood = LikelihoodModule(kwargs_data_joint=self.kwargs_data, kwargs_model=self.kwargs_model, param_class=self.param_class, **kwargs_likelihood)
        args = self.param_class.kwargs2args(kwargs_lens=self.kwargs_lens, kwargs_source=self.kwargs_source,
                                            kwargs_lens_light=self.kwargs_lens_light, kwargs_ps=self.kwargs_ps, kwargs_special=self.kwargs_cosmo)

        logL = likelihood.logL(args, verbose=True)
        npt.assert_almost_equal(logL, -3097.189103539873, decimal=-1)

    def test_check_bounds(self):
        penalty, bound_hit = self.Likelihood.check_bounds(args=[0, 1], lowerLimit=[1, 0], upperLimit=[2, 2],
                                                          verbose=True)
        assert bound_hit

    def test_pixelbased_modelling(self):
        ss_source = 2
        numPix_source = self.numPix*ss_source
        n_scales = 3
        kwargs_pixelbased = {
            'source_interpolation': 'nearest',
            'supersampling_factor_source': ss_source, # supersampling of pixelated source grid

            # following choices are to minimize pixel solver runtime (not to get accurate reconstruction!)
            'threshold_decrease_type': 'none',
            'num_iter_source': 2,
            'num_iter_lens': 2,
            'num_iter_global': 2,
            'num_iter_weights': 2,
        }
        kwargs_likelihood = {
             'image_likelihood': True,
             'kwargs_pixelbased': kwargs_pixelbased,
             'check_positive_flux': True,  # effectively not applied, activated for code coverage purposes
        }
        kernel = PSF(**self.kwargs_psf).kernel_point_source
        kwargs_psf = {'psf_type': 'PIXEL', 'kernel_point_source': kernel}
        kwargs_numerics = {'supersampling_factor': 1}
        kwargs_data = {'multi_band_list': [[self.kwargs_band, kwargs_psf, kwargs_numerics]]}
        kwargs_model = {
            'lens_model_list': ['SPEP'],
            'lens_light_model_list': ['SLIT_STARLETS'],
            'source_light_model_list': ['SLIT_STARLETS'],
        }
        
        kwargs_fixed_source = [{'n_scales': n_scales, 'n_pixels': numPix_source**2, 'scale': 1, 'center_x': 0, 'center_y': 0}]
        kwargs_fixed_lens_light = [{'n_scales': n_scales, 'n_pixels': self.numPix**2, 'scale': 1, 'center_x': 0, 'center_y': 0}]
        kwargs_constraints = {'source_grid_offset': True}
        param_class = Param(kwargs_model, 
                            kwargs_fixed_source=kwargs_fixed_source, 
                            kwargs_fixed_lens_light=kwargs_fixed_lens_light,
                            **kwargs_constraints)

        likelihood = LikelihoodModule(kwargs_data_joint=kwargs_data, kwargs_model=kwargs_model, 
                                      param_class=param_class, **kwargs_likelihood)

        kwargs_source = [{'amp': np.ones(n_scales*numPix_source**2)}]
        kwargs_lens_light = [{'amp': np.ones(n_scales*self.numPix**2)}]
        kwargs_special = {'delta_x_source_grid': 0, 'delta_y_source_grid': 0}
        args = param_class.kwargs2args(kwargs_lens=self.kwargs_lens, kwargs_source=kwargs_source,
                                       kwargs_lens_light=kwargs_lens_light, kwargs_special=kwargs_special)

        logL = likelihood.logL(args, verbose=True)
        num_data_evaluate = likelihood.num_data
        npt.assert_almost_equal(logL/num_data_evaluate, -1/2., decimal=1)
Esempio n. 7
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class TestLikelihoodModule(object):
    """
    test the fitting sequences
    """
    def setup(self):
        np.random.seed(42)

        # data specifics
        sigma_bkg = 0.05  # background noise per pixel
        exp_time = 100  # exposure time (arbitrary units, flux per pixel is in units #photons/exp_time unit)
        numPix = 50  # cutout pixel size
        deltaPix = 0.1  # pixel size in arcsec (area per pixel = deltaPix**2)
        fwhm = 0.5  # full width half max of PSF

        kwargs_model = {
            'lens_model_list': ['SPEP'],
            'lens_light_model_list': ['SERSIC'],
            'source_light_model_list': ['SERSIC_ELLIPSE'],
            'point_source_model_list': ['SOURCE_POSITION'],
            'fixed_magnification_list': [True]
        }

        # PSF specification
        kwargs_band = sim_util.data_configure_simple(numPix, deltaPix,
                                                     exp_time, sigma_bkg)
        data_class = ImageData(**kwargs_band)
        kwargs_psf = {
            'psf_type': 'GAUSSIAN',
            'fwhm': fwhm,
            'pixel_size': deltaPix
        }
        psf_class = PSF(**kwargs_psf)
        print(np.shape(psf_class.kernel_point_source), 'test kernel shape -')
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.95,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.1,
            'e2': 0.1
        }

        self.kwargs_lens = [kwargs_spemd]
        kwargs_sersic = {
            'amp': 1 / 0.05**2.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {
            'amp': 1.,
            'R_sersic': .6,
            'n_sersic': 3,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.1,
            'e2': 0.1
        }

        self.kwargs_lens_light = [kwargs_sersic]
        self.kwargs_source = [kwargs_sersic_ellipse]
        self.kwargs_ps = [
            {
                'ra_source': 0.55,
                'dec_source': 0.02,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness
        self.kwargs_cosmo = {'D_dt': 1000}
        kwargs_numerics = {
            'supersampling_factor': 1,
            'supersampling_convolution': False,
            'compute_mode': 'gaussian'
        }
        lens_model_class, source_model_class, lens_light_model_class, point_source_class, extinction_class = class_creator.create_class_instances(
            **kwargs_model)
        imageModel = ImageModel(data_class,
                                psf_class,
                                lens_model_class,
                                source_model_class,
                                lens_light_model_class,
                                point_source_class,
                                extinction_class,
                                kwargs_numerics=kwargs_numerics)
        image_sim = sim_util.simulate_simple(imageModel, self.kwargs_lens,
                                             self.kwargs_source,
                                             self.kwargs_lens_light,
                                             self.kwargs_ps)
        ra_pos, dec_pos = imageModel.PointSource.image_position(
            kwargs_ps=self.kwargs_ps, kwargs_lens=self.kwargs_lens)

        data_class.update_data(image_sim)
        kwargs_band['image_data'] = image_sim
        self.data_class = data_class
        self.psf_class = psf_class

        self.kwargs_model = kwargs_model
        self.kwargs_numerics = {
            'supersampling_factor': 1,
            'supersampling_convolution': False
        }

        kwargs_constraints = {
            'num_point_source_list': [4],
            'solver_type':
            'NONE',  # 'PROFILE', 'PROFILE_SHEAR', 'ELLIPSE', 'CENTER'
            'Ddt_sampling': True
        }

        def condition_definition(kwargs_lens,
                                 kwargs_source,
                                 kwargs_lens_light,
                                 kwargs_ps=None,
                                 kwargs_special=None,
                                 kwargs_extinction=None):
            logL = 0
            if kwargs_lens_light[0]['R_sersic'] > kwargs_source[0]['R_sersic']:
                logL -= 10**15
            return logL

        kwargs_likelihood = {
            'force_no_add_image': True,
            'source_marg': True,
            'astrometric_likelihood': True,
            'image_position_uncertainty': 0.004,
            'check_matched_source_position': False,
            'source_position_tolerance': 0.001,
            'source_position_sigma': 0.001,
            'check_positive_flux': True,
            'flux_ratio_likelihood': True,
            'prior_lens': [[0, 'theta_E', 1, 0.1]],
            'custom_logL_addition': condition_definition,
            'image_position_likelihood': True
        }
        self.kwargs_data = {
            'multi_band_list': [[kwargs_band, kwargs_psf, kwargs_numerics]],
            'multi_band_type': 'single-band',
            'time_delays_measured': np.ones(4),
            'time_delays_uncertainties': np.ones(4),
            'flux_ratios': np.ones(4),
            'flux_ratio_errors': np.ones(4),
            'ra_image_list': ra_pos,
            'dec_image_list': dec_pos
        }
        self.param_class = Param(self.kwargs_model, **kwargs_constraints)
        self.imageModel = ImageModel(data_class,
                                     psf_class,
                                     lens_model_class,
                                     source_model_class,
                                     lens_light_model_class,
                                     point_source_class,
                                     kwargs_numerics=kwargs_numerics)
        self.Likelihood = LikelihoodModule(kwargs_data_joint=self.kwargs_data,
                                           kwargs_model=kwargs_model,
                                           param_class=self.param_class,
                                           **kwargs_likelihood)

    def test_logL(self):
        args = self.param_class.kwargs2args(
            kwargs_lens=self.kwargs_lens,
            kwargs_source=self.kwargs_source,
            kwargs_lens_light=self.kwargs_lens_light,
            kwargs_ps=self.kwargs_ps,
            kwargs_special=self.kwargs_cosmo)

        logL = self.Likelihood.logL(args, verbose=True)
        num_data_evaluate = self.Likelihood.num_data
        npt.assert_almost_equal(logL / num_data_evaluate, -1 / 2., decimal=1)

    def test_time_delay_likelihood(self):
        kwargs_likelihood = {
            'time_delay_likelihood': True,
        }
        likelihood = LikelihoodModule(kwargs_data_joint=self.kwargs_data,
                                      kwargs_model=self.kwargs_model,
                                      param_class=self.param_class,
                                      **kwargs_likelihood)
        args = self.param_class.kwargs2args(
            kwargs_lens=self.kwargs_lens,
            kwargs_source=self.kwargs_source,
            kwargs_lens_light=self.kwargs_lens_light,
            kwargs_ps=self.kwargs_ps,
            kwargs_special=self.kwargs_cosmo)

        logL = likelihood.logL(args, verbose=True)
        npt.assert_almost_equal(logL, -3080.29, decimal=-1)

    #def test_solver(self):
    # make simulation with point source positions in image plane
    #    x_pos, y_pos = self.imageModel.PointSource.image_position(self.kwargs_ps, self.kwargs_lens)
    #    kwargs_ps = [{'ra_image': x_pos[0], 'dec_image': y_pos[0]}]

    #    kwargs_likelihood = {
    #                         'source_marg': True,
    #                         'astrometric_likelihood': True,
    #                         'position_uncertainty': 0.004,
    #                         'check_solver': True,
    #                         'solver_tolerance': 0.001,
    #                         'check_positive_flux': True,
    #                         'solver': True
    #                         }

    #imageModel = ImageModel(self.data_class, self.psf_class, self.lens_model_class, self.source_model_class,
    #                        self.lens_light_model_class,
    #                        point_source_class, kwargs_numerics=kwargs_numerics)

    def test_force_positive_source_surface_brightness(self):
        kwargs_likelihood = {'force_minimum_source_surface_brightness': True}
        kwargs_model = {'source_light_model_list': ['SERSIC']}

        kwargs_constraints = {}
        param_class = Param(kwargs_model, **kwargs_constraints)

        kwargs_data = sim_util.data_configure_simple(numPix=10,
                                                     deltaPix=0.1,
                                                     exposure_time=1,
                                                     background_rms=0.1)
        data_class = ImageData(**kwargs_data)
        kwargs_psf = {'psf_type': 'NONE'}
        psf_class = PSF(**kwargs_psf)
        kwargs_sersic = {
            'amp': -1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        source_model_list = ['SERSIC']
        kwargs_source = [kwargs_sersic]
        source_model_class = LightModel(light_model_list=source_model_list)

        imageModel = ImageModel(data_class,
                                psf_class,
                                lens_model_class=None,
                                source_model_class=source_model_class)

        image_sim = sim_util.simulate_simple(imageModel, [], kwargs_source)

        kwargs_data['image_data'] = image_sim
        kwargs_data_joint = {
            'multi_band_list': [[kwargs_data, kwargs_psf, {}]],
            'multi_band_type': 'single-band'
        }
        likelihood = LikelihoodModule(kwargs_data_joint=kwargs_data_joint,
                                      kwargs_model=kwargs_model,
                                      param_class=param_class,
                                      **kwargs_likelihood)

        logL = likelihood.logL(
            args=param_class.kwargs2args(kwargs_source=kwargs_source),
            verbose=True)
        assert logL <= -10**10
class TestFittingSequence(object):
    """
    test the fitting sequences
    """
    def setup(self):
        np.random.seed(42)

        # data specifics
        sigma_bkg = 0.05  # background noise per pixel
        exp_time = 100  # exposure time (arbitrary units, flux per pixel is in units #photons/exp_time unit)
        numPix = 50  # cutout pixel size
        deltaPix = 0.1  # pixel size in arcsec (area per pixel = deltaPix**2)
        fwhm = 0.5  # full width half max of PSF

        # PSF specification

        kwargs_data = sim_util.data_configure_simple(numPix, deltaPix,
                                                     exp_time, sigma_bkg)
        data_class = Data(kwargs_data)
        kwargs_psf = sim_util.psf_configure_simple(psf_type='GAUSSIAN',
                                                   fwhm=fwhm,
                                                   kernelsize=11,
                                                   deltaPix=deltaPix,
                                                   truncate=3,
                                                   kernel=None)
        psf_class = PSF(kwargs_psf)

        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.95,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.1,
            'e2': 0.1
        }

        lens_model_list = ['SPEP']
        self.kwargs_lens = [kwargs_spemd]
        lens_model_class = LensModel(lens_model_list=lens_model_list)
        kwargs_sersic = {
            'amp': 1 / 0.05**2.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {
            'amp': 1.,
            'R_sersic': .6,
            'n_sersic': 3,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.1,
            'e2': 0.1
        }

        lens_light_model_list = ['SERSIC']
        self.kwargs_lens_light = [kwargs_sersic]
        lens_light_model_class = LightModel(
            light_model_list=lens_light_model_list)
        source_model_list = ['SERSIC_ELLIPSE']
        self.kwargs_source = [kwargs_sersic_ellipse]
        source_model_class = LightModel(light_model_list=source_model_list)
        self.kwargs_ps = [
            {
                'ra_source': 0.55,
                'dec_source': 0.02,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness
        self.kwargs_cosmo = {'D_dt': 1000}
        point_source_list = ['SOURCE_POSITION']
        point_source_class = PointSource(
            point_source_type_list=point_source_list,
            fixed_magnification_list=[True])
        kwargs_numerics = {'subgrid_res': 1, 'psf_subgrid': False}
        imageModel = ImageModel(data_class,
                                psf_class,
                                lens_model_class,
                                source_model_class,
                                lens_light_model_class,
                                point_source_class,
                                kwargs_numerics=kwargs_numerics)
        image_sim = sim_util.simulate_simple(imageModel, self.kwargs_lens,
                                             self.kwargs_source,
                                             self.kwargs_lens_light,
                                             self.kwargs_ps)

        data_class.update_data(image_sim)
        self.data_class = data_class
        self.psf_class = psf_class

        self.kwargs_model = {
            'lens_model_list': lens_model_list,
            'source_light_model_list': source_model_list,
            'lens_light_model_list': lens_light_model_list,
            'point_source_model_list': point_source_list,
        }

        self.kwargs_numerics = {'subgrid_res': 1, 'psf_subgrid': False}

        kwargs_constraints = {
            'num_point_source_list': [4],
            'solver_type':
            'NONE',  # 'PROFILE', 'PROFILE_SHEAR', 'ELLIPSE', 'CENTER'
            'cosmo_type': 'D_dt'
        }

        kwargs_likelihood = {
            'force_no_add_image': True,
            'source_marg': True,
            'point_source_likelihood': True,
            'position_uncertainty': 0.004,
            'check_solver': True,
            'solver_tolerance': 0.001,
            'check_positive_flux': True,
        }
        self.param_class = Param(self.kwargs_model, **kwargs_constraints)
        self.imageModel = ImageModel(data_class,
                                     psf_class,
                                     lens_model_class,
                                     source_model_class,
                                     lens_light_model_class,
                                     point_source_class,
                                     kwargs_numerics=kwargs_numerics)
        self.Likelihood = LikelihoodModule(imSim_class=self.imageModel,
                                           param_class=self.param_class,
                                           **kwargs_likelihood)

    def test_logL(self):
        args = self.param_class.kwargs2args(
            kwargs_lens=self.kwargs_lens,
            kwargs_source=self.kwargs_source,
            kwargs_lens_light=self.kwargs_lens_light,
            kwargs_ps=self.kwargs_ps,
            kwargs_cosmo=self.kwargs_cosmo)

        logL, _ = self.Likelihood.logL(args)
        num_data_evaluate = self.Likelihood.imSim.numData_evaluate()
        npt.assert_almost_equal(logL / num_data_evaluate, -1 / 2., decimal=1)

    def test_time_delay_likelihood(self):
        kwargs_likelihood = {
            'time_delay_likelihood': True,
            'time_delays_measured': np.ones(4),
            'time_delays_uncertainties': np.ones(4)
        }
        likelihood = LikelihoodModule(imSim_class=self.imageModel,
                                      param_class=self.param_class,
                                      **kwargs_likelihood)
        args = self.param_class.kwargs2args(
            kwargs_lens=self.kwargs_lens,
            kwargs_source=self.kwargs_source,
            kwargs_lens_light=self.kwargs_lens_light,
            kwargs_ps=self.kwargs_ps,
            kwargs_cosmo=self.kwargs_cosmo)

        logL, _ = likelihood.logL(args)
        npt.assert_almost_equal(logL, -3340.79, decimal=-1)

    def test_solver(self):
        # make simulation with point source positions in image plane
        x_pos, y_pos = self.imageModel.PointSource.image_position(
            self.kwargs_ps, self.kwargs_lens)
        kwargs_ps = [{'ra_image': x_pos[0], 'dec_image': y_pos[0]}]

        kwargs_likelihood = {
            'source_marg': True,
            'point_source_likelihood': True,
            'position_uncertainty': 0.004,
            'check_solver': True,
            'solver_tolerance': 0.001,
            'check_positive_flux': True,
            'solver': True
        }

        #imageModel = ImageModel(self.data_class, self.psf_class, self.lens_model_class, self.source_model_class,
        #                        self.lens_light_model_class,
        #                        point_source_class, kwargs_numerics=kwargs_numerics)

    def test_force_positive_source_surface_brightness(self):
        kwargs_likelihood = {
            'force_positive_source_surface_brightness': True,
            'numPix_source': 10,
            'deltaPix_source': 0.1
        }
        kwargs_model = {'source_light_model_list': ['SERSIC']}

        kwargs_constraints = {}
        param_class = Param(kwargs_model, **kwargs_constraints)

        kwargs_data = sim_util.data_configure_simple(numPix=10,
                                                     deltaPix=0.1,
                                                     exposure_time=1,
                                                     sigma_bkg=0.1)
        data_class = Data(kwargs_data)
        kwargs_psf = {'psf_type': 'NONE'}
        psf_class = PSF(kwargs_psf)
        kwargs_sersic = {
            'amp': -1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        source_model_list = ['SERSIC']
        kwargs_source = [kwargs_sersic]
        source_model_class = LightModel(light_model_list=source_model_list)

        imageModel = ImageModel(data_class,
                                psf_class,
                                lens_model_class=None,
                                source_model_class=source_model_class)

        image_sim = sim_util.simulate_simple(imageModel, [], kwargs_source)

        data_class.update_data(image_sim)
        likelihood = LikelihoodModule(imSim_class=imageModel,
                                      param_class=param_class,
                                      **kwargs_likelihood)
        logL, _ = likelihood.logL(args=param_class.kwargs2args(
            kwargs_source=kwargs_source))
        assert logL <= -10**10