Пример #1
0
class ModelBand(object):
    """
    class to plot a single band given the full modeling results
    This class has it's specific role when the linear inference is performed on the joint band level and/or when only
    a subset of model components get used for this specific band in the modeling.

    """
    def __init__(self,
                 multi_band_list,
                 kwargs_model,
                 model,
                 error_map,
                 cov_param,
                 param,
                 kwargs_params,
                 image_likelihood_mask_list=None,
                 band_index=0,
                 verbose=True):
        """

        :param multi_band_list: list of imaging data configuration [[kwargs_data, kwargs_psf, kwargs_numerics], [...]]
        :param kwargs_model: model keyword argument list for the full multi-band modeling
        :param model: 2d numpy array of modeled image for the specified band
        :param error_map: 2d numpy array of size of the image, additional error in the pixels coming from PSF
         uncertainties
        :param cov_param: covariance matrix of the linear inversion
        :param param: 1d numpy array of the linear coefficients of this imaging band
        :param kwargs_params: keyword argument of keyword argument lists of the different model components selected for
         the imaging band, NOT including linear amplitudes (not required as being overwritten by the param list)
        :param image_likelihood_mask_list: list of 2d numpy arrays of likelihood masks (for all bands)
        :param band_index: integer of the band to be considered in this class
        :param verbose: if True (default), prints the reduced chi2 value for the current band.
        """

        self._bandmodel = SingleBandMultiModel(
            multi_band_list,
            kwargs_model,
            likelihood_mask_list=image_likelihood_mask_list,
            band_index=band_index)
        self._kwargs_special_partial = kwargs_params.get(
            'kwargs_special', None)
        kwarks_lens_partial, kwargs_source_partial, kwargs_lens_light_partial, kwargs_ps_partial, self._kwargs_extinction_partial = self._bandmodel.select_kwargs(
            **kwargs_params)
        self._kwargs_lens_partial, self._kwargs_source_partial, self._kwargs_lens_light_partial, self._kwargs_ps_partial = self._bandmodel.update_linear_kwargs(
            param, kwarks_lens_partial, kwargs_source_partial,
            kwargs_lens_light_partial, kwargs_ps_partial)
        # this is an (out-commented) example of how to re-create the model in this band
        # model_new = self.bandmodel.image(self._kwargs_lens_partial, self._kwargs_source_partial, self._kwargs_lens_light_partial, self._kwargs_ps_partial, self._kwargs_special_partial, self._kwargs_extinction_partial)

        self._norm_residuals = self._bandmodel.reduced_residuals(
            model, error_map=error_map)
        self._reduced_x2 = self._bandmodel.reduced_chi2(model,
                                                        error_map=error_map)
        if verbose:
            print("reduced chi^2 of data ", band_index, "= ", self._reduced_x2)

        self._model = model
        self._cov_param = cov_param
        self._param = param
        self._error_map = error_map

    @property
    def model(self):
        """

        :return: model, 2d numpy array
        """
        return self._model

    @property
    def norm_residuals(self):
        """

        :return: normalized residuals, 2d numpy array
        """
        return self._norm_residuals

    @property
    def image_model_class(self):
        """
        ImageModel() class instance of the single band with only the model components applied to this band

        :return: SingleBandMultiModel() instance, which inherits the ImageModel instance
        """
        return self._bandmodel

    @property
    def kwargs_model(self):
        """

        :return: keyword argument of keyword argument lists of the different model components selected for the imaging
         band, including linear amplitudes. These format matches the image_model_class() return
        """
        kwargs_return = {
            'kwargs_lens': self._kwargs_lens_partial,
            'kwargs_source': self._kwargs_source_partial,
            'kwargs_lens_light': self._kwargs_lens_light_partial,
            'kwargs_ps': self._kwargs_ps_partial,
            'kwargs_special': self._kwargs_special_partial,
            'kwargs_extinction': self._kwargs_extinction_partial
        }
        return kwargs_return
Пример #2
0
class ModelBandPlot(object):
    """
    class to plot a single band given the modeling results

    """
    def __init__(self,
                 multi_band_list,
                 kwargs_model,
                 model,
                 error_map,
                 cov_param,
                 param,
                 kwargs_params,
                 likelihood_mask_list=None,
                 band_index=0,
                 arrow_size=0.02,
                 cmap_string="gist_heat"):

        self.bandmodel = SingleBandMultiModel(
            multi_band_list,
            kwargs_model,
            likelihood_mask_list=likelihood_mask_list,
            band_index=band_index)
        self._kwargs_special_partial = kwargs_params.get(
            'kwargs_special', None)
        kwarks_lens_partial, kwargs_source_partial, kwargs_lens_light_partial, kwargs_ps_partial, self._kwargs_extinction_partial = self.bandmodel.select_kwargs(
            **kwargs_params)
        self._kwargs_lens_partial, self._kwargs_source_partial, self._kwargs_lens_light_partial, self._kwargs_ps_partial = self.bandmodel.update_linear_kwargs(
            param, kwarks_lens_partial, kwargs_source_partial,
            kwargs_lens_light_partial, kwargs_ps_partial)
        self._norm_residuals = self.bandmodel.reduced_residuals(
            model, error_map=error_map)
        self._reduced_x2 = self.bandmodel.reduced_chi2(model,
                                                       error_map=error_map)
        print("reduced chi^2 of data ", band_index, "= ", self._reduced_x2)

        self._model = model
        self._cov_param = cov_param
        self._param = param

        self._lensModel = self.bandmodel.LensModel
        self._lensModelExt = LensModelExtensions(self._lensModel)
        log_model = np.log10(model)
        log_model[np.isnan(log_model)] = -5
        self._v_min_default = max(np.min(log_model), -5)
        self._v_max_default = min(np.max(log_model), 10)
        self._coords = self.bandmodel.Data
        self._data = self._coords.data
        self._deltaPix = self._coords.pixel_width
        self._frame_size = np.max(self._coords.width)
        x_grid, y_grid = self._coords.pixel_coordinates
        self._x_grid = util.image2array(x_grid)
        self._y_grid = util.image2array(y_grid)

        if isinstance(cmap_string, str):
            cmap = plt.get_cmap(cmap_string)
        else:
            cmap = cmap_string
        cmap.set_bad(color='k', alpha=1.)
        cmap.set_under('k')
        self._cmap = cmap
        self._arrow_size = arrow_size

    def _critical_curves(self):
        if not hasattr(self, '_ra_crit_list') or not hasattr(
                self, '_dec_crit_list'):
            self._ra_crit_list, self._dec_crit_list = self._lensModelExt.critical_curve_tiling(
                self._kwargs_lens_partial,
                compute_window=self._frame_size,
                start_scale=self._deltaPix / 5.,
                max_order=10)
        return self._ra_crit_list, self._dec_crit_list

    def _caustics(self):
        if not hasattr(self, '_ra_caustic_list') or not hasattr(
                self, '_dec_caustic_list'):
            ra_crit_list, dec_crit_list = self._critical_curves()
            self._ra_caustic_list, self._dec_caustic_list = self._lensModel.ray_shooting(
                ra_crit_list, dec_crit_list, self._kwargs_lens_partial)
        return self._ra_caustic_list, self._dec_caustic_list

    def data_plot(self,
                  ax,
                  v_min=None,
                  v_max=None,
                  text='Observed',
                  font_size=15,
                  colorbar_label=r'log$_{10}$ flux',
                  **kwargs):
        """

        :param ax:
        :return:
        """
        if v_min is None:
            v_min = self._v_min_default
        if v_max is None:
            v_max = self._v_max_default
        im = ax.matshow(np.log10(self._data),
                        origin='lower',
                        extent=[0, self._frame_size, 0, self._frame_size],
                        cmap=self._cmap,
                        vmin=v_min,
                        vmax=v_max)  # , vmin=0, vmax=2

        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)

        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="w",
                                   backgroundcolor='k',
                                   font_size=font_size)

        if 'no_arrow' not in kwargs or not kwargs['no_arrow']:
            plot_util.coordinate_arrows(ax,
                                        self._frame_size,
                                        self._coords,
                                        color='w',
                                        arrow_size=self._arrow_size,
                                        font_size=font_size)

        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax, orientation='vertical')
        cb.set_label(colorbar_label, fontsize=font_size)
        return ax

    def model_plot(self,
                   ax,
                   v_min=None,
                   v_max=None,
                   image_names=False,
                   colorbar_label=r'log$_{10}$ flux',
                   font_size=15,
                   text='Reconstructed',
                   **kwargs):
        """

        :param ax:
        :param model:
        :param v_min:
        :param v_max:
        :return:
        """
        if v_min is None:
            v_min = self._v_min_default
        if v_max is None:
            v_max = self._v_max_default
        im = ax.matshow(np.log10(self._model),
                        origin='lower',
                        vmin=v_min,
                        vmax=v_max,
                        extent=[0, self._frame_size, 0, self._frame_size],
                        cmap=self._cmap)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="w",
                                   backgroundcolor='k',
                                   font_size=font_size)
        if 'no_arrow' not in kwargs or not kwargs['no_arrow']:
            plot_util.coordinate_arrows(ax,
                                        self._frame_size,
                                        self._coords,
                                        color='w',
                                        arrow_size=self._arrow_size,
                                        font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)

        #plot_line_set(ax, self._coords, self._ra_caustic_list, self._dec_caustic_list, color='b')
        #plot_line_set(ax, self._coords, self._ra_crit_list, self._dec_crit_list, color='r')
        if image_names is True:
            ra_image, dec_image = self.bandmodel.PointSource.image_position(
                self._kwargs_ps_partial, self._kwargs_lens_partial)
            plot_util.image_position_plot(ax, self._coords, ra_image,
                                          dec_image)
        #source_position_plot(ax, self._coords, self._kwargs_source)

    def convergence_plot(self,
                         ax,
                         text='Convergence',
                         v_min=None,
                         v_max=None,
                         font_size=15,
                         colorbar_label=r'$\log_{10}\ \kappa$',
                         **kwargs):
        """

        :param x_grid:
        :param y_grid:
        :param kwargs_lens:
        :param kwargs_else:
        :return:
        """
        if not 'cmap' in kwargs:
            kwargs['cmap'] = self._cmap

        kappa_result = util.array2image(
            self._lensModel.kappa(self._x_grid, self._y_grid,
                                  self._kwargs_lens_partial))
        im = ax.matshow(np.log10(kappa_result),
                        origin='lower',
                        extent=[0, self._frame_size, 0, self._frame_size],
                        cmap=kwargs['cmap'],
                        vmin=v_min,
                        vmax=v_max)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            color='w',
                            font_size=font_size)
        if 'no_arrow' not in kwargs or not kwargs['no_arrow']:
            plot_util.coordinate_arrows(ax,
                                        self._frame_size,
                                        self._coords,
                                        color='w',
                                        arrow_size=self._arrow_size,
                                        font_size=font_size)
            plot_util.text_description(ax,
                                       self._frame_size,
                                       text=text,
                                       color="w",
                                       backgroundcolor='k',
                                       flipped=False,
                                       font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)
        return ax

    def normalized_residual_plot(
            self,
            ax,
            v_min=-6,
            v_max=6,
            font_size=15,
            text="Normalized Residuals",
            colorbar_label=r'(f${}_{\rm model}$ - f${}_{\rm data}$)/$\sigma$',
            no_arrow=False,
            **kwargs):
        """

        :param ax:
        :param v_min:
        :param v_max:
        :param kwargs: kwargs to send to matplotlib.pyplot.matshow()
        :return:
        """
        if not 'cmap' in kwargs:
            kwargs['cmap'] = 'bwr'
        im = ax.matshow(self._norm_residuals,
                        vmin=v_min,
                        vmax=v_max,
                        extent=[0, self._frame_size, 0, self._frame_size],
                        origin='lower',
                        **kwargs)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            color='k',
                            font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="k",
                                   backgroundcolor='w',
                                   font_size=font_size)
        if not no_arrow:
            plot_util.coordinate_arrows(ax,
                                        self._frame_size,
                                        self._coords,
                                        color='w',
                                        arrow_size=self._arrow_size,
                                        font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)
        return ax

    def absolute_residual_plot(self,
                               ax,
                               v_min=-1,
                               v_max=1,
                               font_size=15,
                               text="Residuals",
                               colorbar_label=r'(f$_{model}$-f$_{data}$)'):
        """

        :param ax:
        :param residuals:
        :return:
        """
        im = ax.matshow(self._model - self._data,
                        vmin=v_min,
                        vmax=v_max,
                        extent=[0, self._frame_size, 0, self._frame_size],
                        cmap='bwr',
                        origin='lower')
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            color='k',
                            font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="k",
                                   backgroundcolor='w',
                                   font_size=font_size)
        plot_util.coordinate_arrows(ax,
                                    self._frame_size,
                                    self._coords,
                                    font_size=font_size,
                                    color='k',
                                    arrow_size=self._arrow_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)
        return ax

    def source(self, numPix, deltaPix, center=None, image_orientation=True):
        """

        :param numPix: number of pixels per axes
        :param deltaPix: pixel size
        :param image_orientation: bool, if True, uses frame in orientation of the image, otherwise in RA-DEC coordinates
        :return: 2d surface brightness grid of the reconstructed source and Coordinates() instance of source grid
        """
        if image_orientation is True:
            Mpix2coord = self._coords.transform_pix2angle * deltaPix / self._deltaPix
            x_grid_source, y_grid_source = util.make_grid_transformed(
                numPix, Mpix2Angle=Mpix2coord)
            ra_at_xy_0, dec_at_xy_0 = x_grid_source[0], y_grid_source[0]
        else:
            x_grid_source, y_grid_source, ra_at_xy_0, dec_at_xy_0, x_at_radec_0, y_at_radec_0, Mpix2coord, Mcoord2pix = util.make_grid_with_coordtransform(
                numPix, deltaPix)

        center_x = 0
        center_y = 0
        if center is not None:
            center_x, center_y = center[0], center[1]
        elif len(self._kwargs_source_partial) > 0:
            center_x = self._kwargs_source_partial[0]['center_x']
            center_y = self._kwargs_source_partial[0]['center_y']
        x_grid_source += center_x
        y_grid_source += center_y

        coords_source = Coordinates(transform_pix2angle=Mpix2coord,
                                    ra_at_xy_0=ra_at_xy_0 + center_x,
                                    dec_at_xy_0=dec_at_xy_0 + center_y)

        source = self.bandmodel.SourceModel.surface_brightness(
            x_grid_source, y_grid_source, self._kwargs_source_partial)
        source = util.array2image(source) * deltaPix**2
        return source, coords_source

    def source_plot(self,
                    ax,
                    numPix,
                    deltaPix_source,
                    center=None,
                    v_min=None,
                    v_max=None,
                    with_caustics=False,
                    caustic_color='yellow',
                    font_size=15,
                    plot_scale='log',
                    scale_size=0.1,
                    text="Reconstructed source",
                    colorbar_label=r'log$_{10}$ flux',
                    point_source_position=True,
                    **kwargs):
        """

        :param ax:
        :param numPix:
        :param deltaPix_source:
        :param center: [center_x, center_y], if specified, uses this as the center
        :param v_min:
        :param v_max:
        :param with_caustics:
        :param caustic_color:
        :param font_size:
        :param plot_scale: string, log or linear, scale of surface brightness plot
        :param kwargs:
        :return:
        """
        if v_min is None:
            v_min = self._v_min_default
        if v_max is None:
            v_max = self._v_max_default
        d_s = numPix * deltaPix_source
        source, coords_source = self.source(numPix,
                                            deltaPix_source,
                                            center=center)
        if plot_scale == 'log':
            source[source < 10**(v_min)] = 10**(
                v_min)  # to remove weird shadow in plot
            source_scale = np.log10(source)
        elif plot_scale == 'linear':
            source_scale = source
        else:
            raise ValueError(
                'variable plot_scale needs to be "log" or "linear", not %s.' %
                plot_scale)
        im = ax.matshow(source_scale,
                        origin='lower',
                        extent=[0, d_s, 0, d_s],
                        cmap=self._cmap,
                        vmin=v_min,
                        vmax=v_max)  # source
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)

        if with_caustics is True:
            ra_caustic_list, dec_caustic_list = self._caustics()
            plot_util.plot_line_set(ax,
                                    coords_source,
                                    ra_caustic_list,
                                    dec_caustic_list,
                                    color=caustic_color)
            plot_util.scale_bar(ax,
                                d_s,
                                dist=scale_size,
                                text='{:.1f}"'.format(scale_size),
                                color='w',
                                flipped=False,
                                font_size=font_size)
        if 'no_arrow' not in kwargs or not kwargs['no_arrow']:
            plot_util.coordinate_arrows(ax,
                                        self._frame_size,
                                        self._coords,
                                        color='w',
                                        arrow_size=self._arrow_size,
                                        font_size=font_size)
            plot_util.text_description(ax,
                                       d_s,
                                       text=text,
                                       color="w",
                                       backgroundcolor='k',
                                       flipped=False,
                                       font_size=font_size)
        if point_source_position is True:
            ra_source, dec_source = self.bandmodel.PointSource.source_position(
                self._kwargs_ps_partial, self._kwargs_lens_partial)
            plot_util.source_position_plot(ax, coords_source, ra_source,
                                           dec_source)
        return ax

    def error_map_source_plot(self,
                              ax,
                              numPix,
                              deltaPix_source,
                              v_min=None,
                              v_max=None,
                              with_caustics=False,
                              font_size=15,
                              point_source_position=True):
        x_grid_source, y_grid_source = util.make_grid_transformed(
            numPix, self._coords.transform_pix2angle * deltaPix_source /
            self._deltaPix)
        x_center = self._kwargs_source_partial[0]['center_x']
        y_center = self._kwargs_source_partial[0]['center_y']
        x_grid_source += x_center
        y_grid_source += y_center
        coords_source = Coordinates(self._coords.transform_pix2angle *
                                    deltaPix_source / self._deltaPix,
                                    ra_at_xy_0=x_grid_source[0],
                                    dec_at_xy_0=y_grid_source[0])
        error_map_source = self.bandmodel.error_map_source(
            self._kwargs_source_partial, x_grid_source, y_grid_source,
            self._cov_param)
        error_map_source = util.array2image(error_map_source)
        d_s = numPix * deltaPix_source
        im = ax.matshow(error_map_source,
                        origin='lower',
                        extent=[0, d_s, 0, d_s],
                        cmap=self._cmap,
                        vmin=v_min,
                        vmax=v_max)  # source
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(r'error variance', fontsize=font_size)
        if with_caustics:
            ra_caustic_list, dec_caustic_list = self._caustics()
            plot_util.plot_line_set(ax,
                                    coords_source,
                                    ra_caustic_list,
                                    dec_caustic_list,
                                    color='b')
        plot_util.scale_bar(ax,
                            d_s,
                            dist=0.1,
                            text='0.1"',
                            color='w',
                            flipped=False,
                            font_size=font_size)
        plot_util.coordinate_arrows(ax,
                                    d_s,
                                    coords_source,
                                    arrow_size=self._arrow_size,
                                    color='w',
                                    font_size=font_size)
        plot_util.text_description(ax,
                                   d_s,
                                   text="Error map in source",
                                   color="w",
                                   backgroundcolor='k',
                                   flipped=False,
                                   font_size=font_size)
        if point_source_position is True:
            ra_source, dec_source = self.bandmodel.PointSource.source_position(
                self._kwargs_ps_partial, self._kwargs_lens_partial)
            plot_util.source_position_plot(ax, coords_source, ra_source,
                                           dec_source)
        return ax

    def magnification_plot(self,
                           ax,
                           v_min=-10,
                           v_max=10,
                           image_name_list=None,
                           font_size=15,
                           no_arrow=False,
                           text="Magnification model",
                           colorbar_label=r"$\det\ (\mathsf{A}^{-1})$",
                           **kwargs):
        """

        :param ax: matplotib axis instance
        :param v_min: minimum range of plotting
        :param v_max: maximum range of plotting
        :param kwargs: kwargs to send to matplotlib.pyplot.matshow()
        :return:
        """
        if not 'cmap' in kwargs:
            kwargs['cmap'] = self._cmap
        if not 'alpha' in kwargs:
            kwargs['alpha'] = 0.5
        mag_result = util.array2image(
            self._lensModel.magnification(self._x_grid, self._y_grid,
                                          self._kwargs_lens_partial))
        im = ax.matshow(mag_result,
                        origin='lower',
                        extent=[0, self._frame_size, 0, self._frame_size],
                        vmin=v_min,
                        vmax=v_max,
                        **kwargs)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            color='k',
                            font_size=font_size)
        if not no_arrow:
            plot_util.coordinate_arrows(ax,
                                        self._frame_size,
                                        self._coords,
                                        color='k',
                                        arrow_size=self._arrow_size,
                                        font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="k",
                                   backgroundcolor='w',
                                   font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)
        ra_image, dec_image = self.bandmodel.PointSource.image_position(
            self._kwargs_ps_partial, self._kwargs_lens_partial)
        plot_util.image_position_plot(ax,
                                      self._coords,
                                      ra_image,
                                      dec_image,
                                      color='k',
                                      image_name_list=image_name_list)
        return ax

    def deflection_plot(self,
                        ax,
                        v_min=None,
                        v_max=None,
                        axis=0,
                        with_caustics=False,
                        image_name_list=None,
                        text="Deflection model",
                        font_size=15,
                        colorbar_label=r'arcsec'):
        """

        :param kwargs_lens:
        :param kwargs_else:
        :return:
        """

        alpha1, alpha2 = self._lensModel.alpha(self._x_grid, self._y_grid,
                                               self._kwargs_lens_partial)
        alpha1 = util.array2image(alpha1)
        alpha2 = util.array2image(alpha2)
        if axis == 0:
            alpha = alpha1
        else:
            alpha = alpha2
        im = ax.matshow(alpha,
                        origin='lower',
                        extent=[0, self._frame_size, 0, self._frame_size],
                        vmin=v_min,
                        vmax=v_max,
                        cmap=self._cmap,
                        alpha=0.5)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            color='k',
                            font_size=font_size)
        plot_util.coordinate_arrows(ax,
                                    self._frame_size,
                                    self._coords,
                                    color='k',
                                    arrow_size=self._arrow_size,
                                    font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="k",
                                   backgroundcolor='w',
                                   font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(colorbar_label, fontsize=font_size)
        if with_caustics is True:
            ra_crit_list, dec_crit_list = self._critical_curves()
            ra_caustic_list, dec_caustic_list = self._caustics()
            plot_util.plot_line_set(ax,
                                    self._coords,
                                    ra_caustic_list,
                                    dec_caustic_list,
                                    color='b')
            plot_util.plot_line_set(ax,
                                    self._coords,
                                    ra_crit_list,
                                    dec_crit_list,
                                    color='r')
        ra_image, dec_image = self.bandmodel.PointSource.image_position(
            self._kwargs_ps_partial, self._kwargs_lens_partial)
        plot_util.image_position_plot(ax,
                                      self._coords,
                                      ra_image,
                                      dec_image,
                                      image_name_list=image_name_list)
        return ax

    def decomposition_plot(self,
                           ax,
                           text='Reconstructed',
                           v_min=None,
                           v_max=None,
                           unconvolved=False,
                           point_source_add=False,
                           font_size=15,
                           source_add=False,
                           lens_light_add=False,
                           **kwargs):
        """

        :param ax:
        :param text:
        :param v_min:
        :param v_max:
        :param unconvolved:
        :param point_source_add:
        :param source_add:
        :param lens_light_add:
        :param kwargs: kwargs to send matplotlib.pyplot.matshow()
        :return:
        """
        model = self.bandmodel.image(self._kwargs_lens_partial,
                                     self._kwargs_source_partial,
                                     self._kwargs_lens_light_partial,
                                     self._kwargs_ps_partial,
                                     unconvolved=unconvolved,
                                     source_add=source_add,
                                     lens_light_add=lens_light_add,
                                     point_source_add=point_source_add)
        if v_min is None:
            v_min = self._v_min_default
        if v_max is None:
            v_max = self._v_max_default
        if not 'cmap' in kwargs:
            kwargs['cmap'] = self._cmap
        im = ax.matshow(np.log10(model),
                        origin='lower',
                        vmin=v_min,
                        vmax=v_max,
                        extent=[0, self._frame_size, 0, self._frame_size],
                        **kwargs)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="w",
                                   backgroundcolor='k')
        plot_util.coordinate_arrows(ax,
                                    self._frame_size,
                                    self._coords,
                                    arrow_size=self._arrow_size,
                                    font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(r'log$_{10}$ flux', fontsize=font_size)
        return ax

    def subtract_from_data_plot(self,
                                ax,
                                text='Subtracted',
                                v_min=None,
                                v_max=None,
                                point_source_add=False,
                                source_add=False,
                                lens_light_add=False,
                                font_size=15):
        model = self.bandmodel.image(self._kwargs_lens_partial,
                                     self._kwargs_source_partial,
                                     self._kwargs_lens_light_partial,
                                     self._kwargs_ps_partial,
                                     unconvolved=False,
                                     source_add=source_add,
                                     lens_light_add=lens_light_add,
                                     point_source_add=point_source_add)
        if v_min is None:
            v_min = self._v_min_default
        if v_max is None:
            v_max = self._v_max_default
        im = ax.matshow(np.log10(self._data - model),
                        origin='lower',
                        vmin=v_min,
                        vmax=v_max,
                        extent=[0, self._frame_size, 0, self._frame_size],
                        cmap=self._cmap)
        ax.get_xaxis().set_visible(False)
        ax.get_yaxis().set_visible(False)
        ax.autoscale(False)
        plot_util.scale_bar(ax,
                            self._frame_size,
                            dist=1,
                            text='1"',
                            font_size=font_size)
        plot_util.text_description(ax,
                                   self._frame_size,
                                   text=text,
                                   color="w",
                                   backgroundcolor='k',
                                   font_size=font_size)
        plot_util.coordinate_arrows(ax,
                                    self._frame_size,
                                    self._coords,
                                    arrow_size=self._arrow_size,
                                    font_size=font_size)
        divider = make_axes_locatable(ax)
        cax = divider.append_axes("right", size="5%", pad=0.05)
        cb = plt.colorbar(im, cax=cax)
        cb.set_label(r'log$_{10}$ flux', fontsize=font_size)
        return ax

    def plot_main(self, with_caustics=False):
        """
        print the main plots together in a joint frame

        :return:
        """

        f, axes = plt.subplots(2, 3, figsize=(16, 8))
        self.data_plot(ax=axes[0, 0])
        self.model_plot(ax=axes[0, 1], image_names=True)
        self.normalized_residual_plot(ax=axes[0, 2], v_min=-6, v_max=6)
        self.source_plot(ax=axes[1, 0],
                         deltaPix_source=0.01,
                         numPix=100,
                         with_caustics=with_caustics)
        self.convergence_plot(ax=axes[1, 1], v_max=1)
        self.magnification_plot(ax=axes[1, 2])
        f.tight_layout()
        f.subplots_adjust(left=None,
                          bottom=None,
                          right=None,
                          top=None,
                          wspace=0.,
                          hspace=0.05)
        return f, axes

    def plot_separate(self):
        """
        plot the different model components separately

        :return:
        """
        f, axes = plt.subplots(2, 3, figsize=(16, 8))

        self.decomposition_plot(ax=axes[0, 0],
                                text='Lens light',
                                lens_light_add=True,
                                unconvolved=True)
        self.decomposition_plot(ax=axes[1, 0],
                                text='Lens light convolved',
                                lens_light_add=True)
        self.decomposition_plot(ax=axes[0, 1],
                                text='Source light',
                                source_add=True,
                                unconvolved=True)
        self.decomposition_plot(ax=axes[1, 1],
                                text='Source light convolved',
                                source_add=True)
        self.decomposition_plot(ax=axes[0, 2],
                                text='All components',
                                source_add=True,
                                lens_light_add=True,
                                unconvolved=True)
        self.decomposition_plot(ax=axes[1, 2],
                                text='All components convolved',
                                source_add=True,
                                lens_light_add=True,
                                point_source_add=True)
        f.tight_layout()
        f.subplots_adjust(left=None,
                          bottom=None,
                          right=None,
                          top=None,
                          wspace=0.,
                          hspace=0.05)
        return f, axes

    def plot_subtract_from_data_all(self):
        """
        subtract model components from data

        :return:
        """
        f, axes = plt.subplots(2, 3, figsize=(16, 8))

        self.subtract_from_data_plot(ax=axes[0, 0], text='Data')
        self.subtract_from_data_plot(ax=axes[0, 1],
                                     text='Data - Point Source',
                                     point_source_add=True)
        self.subtract_from_data_plot(ax=axes[0, 2],
                                     text='Data - Lens Light',
                                     lens_light_add=True)
        self.subtract_from_data_plot(ax=axes[1, 0],
                                     text='Data - Source Light',
                                     source_add=True)
        self.subtract_from_data_plot(ax=axes[1, 1],
                                     text='Data - Source Light - Point Source',
                                     source_add=True,
                                     point_source_add=True)
        self.subtract_from_data_plot(ax=axes[1, 2],
                                     text='Data - Lens Light - Point Source',
                                     lens_light_add=True,
                                     point_source_add=True)
        f.tight_layout()
        f.subplots_adjust(left=None,
                          bottom=None,
                          right=None,
                          top=None,
                          wspace=0.,
                          hspace=0.05)
        return f, axes

    def plot_extinction_map(self, ax, v_min=None, v_max=None, **kwargs):
        """

        :param ax:
        :param v_min:
        :param v_max:
        :return:
        """
        model = self.bandmodel.extinction_map(self._kwargs_extinction_partial,
                                              self._kwargs_special_partial)
        if v_min is None:
            v_min = 0
        if v_max is None:
            v_max = 1

        im = ax.matshow(model,
                        origin='lower',
                        vmin=v_min,
                        vmax=v_max,
                        extent=[0, self._frame_size, 0, self._frame_size],
                        **kwargs)
        return ax