Пример #1
0
class TestSimulation(object):
    def setup(self):
        self.SimAPI = Simulation()

        # data specifics
        sigma_bkg = 1.  # background noise per pixel
        exp_time = 10  # exposure time (arbitrary units, flux per pixel is in units #photons/exp_time unit)
        numPix = 100  # cutout pixel size
        deltaPix = 0.05  # pixel size in arcsec (area per pixel = deltaPix**2)
        fwhm = 0.5  # full width half max of PSF

        # PSF specification

        kwargs_data = self.SimAPI.data_configure(numPix, deltaPix, exp_time,
                                                 sigma_bkg)
        data_class = Data(kwargs_data)

        kwargs_psf = self.SimAPI.psf_configure(psf_type='GAUSSIAN',
                                               fwhm=fwhm,
                                               kernelsize=31,
                                               deltaPix=deltaPix,
                                               truncate=5)
        psf_class = PSF(kwargs_psf)

        # 'EXERNAL_SHEAR': external shear
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        e1, e2 = param_util.phi_q2_ellipticity(0.2, 0.8)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'e1': e1,
            'e2': e2
        }

        lens_model_list = ['SPEP', 'SHEAR']
        self.kwargs_lens = [kwargs_spemd, kwargs_shear]
        lens_model_class = LensModel(lens_model_list=lens_model_list)
        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'amp': 1.,
            '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': 7,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.2,
            'e2': 0.3
        }

        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': 0.0,
                'dec_source': 0.0,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness
        point_source_class = PointSource(
            point_source_type_list=['SOURCE_POSITION'],
            fixed_magnification_list=[True])
        kwargs_numerics = {'subgrid_res': 2, 'psf_subgrid': True}
        self.imageModel = ImageModel(data_class,
                                     psf_class,
                                     lens_model_class,
                                     source_model_class,
                                     lens_light_model_class,
                                     point_source_class,
                                     kwargs_numerics=kwargs_numerics)

    def test_im_sim(self):
        # model specifics

        # list of lens models, supports:

        # 'EXERNAL_SHEAR': external shear
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        e1, e2 = param_util.phi_q2_ellipticity(0.2, 0.8)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'e1': e1,
            'e2': e2
        }
        kwargs_lens_list = [kwargs_spemd, kwargs_shear]
        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'amp': 1.,
            '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': 7,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.2,
            'e2': 0.3
        }

        kwargs_lens_light_list = [kwargs_sersic]
        kwargs_source_list = [kwargs_sersic_ellipse]
        kwargs_ps = [
            {
                'ra_source': 0.0,
                'dec_source': 0.0,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness
        image_sim = self.SimAPI.simulate(self.imageModel, kwargs_lens_list,
                                         kwargs_source_list,
                                         kwargs_lens_light_list, kwargs_ps)

        assert len(image_sim) == 100
        npt.assert_almost_equal(np.sum(image_sim),
                                14894.805448596271,
                                decimal=-3)

    def test_normalize_flux(self):
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'q': 0.8,
            'phi_G': 0.2
        }

        lens_model_list = ['SPEP', 'SHEAR']
        kwargs_lens_list = [kwargs_spemd, kwargs_shear]

        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'amp': 1.,
            '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': 7,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.2,
            'e2': 0.3
        }
        lens_light_model_list = ['SERSIC']
        kwargs_lens_light_list = [kwargs_sersic]
        source_model_list = ['SERSIC_ELLIPSE']
        kwargs_source_list = [kwargs_sersic_ellipse]

        kwargs_ps = [
            {
                'ra_source': 0.0,
                'dec_source': 0.0,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness

        kwargs_options = {
            'lens_model_list': lens_model_list,
            'lens_light_model_list': lens_light_model_list,
            'source_light_model_list': source_model_list,
            'psf_type': 'PIXEL',
            'point_source_list': ['SOURCE_POSITION'],
            'fixed_magnification': True
            # if True, simulates point source at source position of 'sourcePos_xy' in kwargs_ps
        }
        #image_sim = self.SimAPI.simulate(self.imageModel, kwargs_lens_list, kwargs_source_list,
        #                          kwargs_lens_light_list, kwargs_ps)
        kwargs_source_updated, kwargs_lens_light_updated, kwargs_else_updated = self.SimAPI.normalize_flux(
            kwargs_options,
            kwargs_source_list,
            kwargs_lens_light_list,
            kwargs_ps,
            norm_factor_source=3,
            norm_factor_lens_light=2,
            norm_factor_point_source=0.)
        print(kwargs_else_updated, 'test')
        assert kwargs_else_updated[0]['source_amp'] == 0

    def test_normalize_flux_source(self):
        # 'EXERNAL_SHEAR': external shear
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'q': 0.8,
            'phi_G': 0.2
        }

        lens_model_list = ['SPEP', 'SHEAR']
        kwargs_lens_list = [kwargs_spemd, kwargs_shear]

        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'amp': 1.,
            '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': 7,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.2,
            'e2': 0.3
        }

        lens_light_model_list = ['SERSIC']
        kwargs_lens_light_list = [kwargs_sersic]
        source_model_list = ['SERSIC_ELLIPSE']
        kwargs_source_list = [kwargs_sersic_ellipse]
        kwargs_options = {
            'lens_model_list': lens_model_list,
            'lens_light_model_list': lens_light_model_list,
            'source_light_model_list': source_model_list,
            'psf_type': 'PIXEL',
            'point_source': True
            # if True, simulates point source at source position of 'sourcePos_xy' in kwargs_else
        }
        kwargs_source_updated = self.SimAPI.normalize_flux_source(
            kwargs_options, kwargs_source_list, norm_factor_source=10)
        assert kwargs_source_updated[0][
            'amp'] == kwargs_source_list[0]['amp'] * 10

    def test_source_plane(self):
        numPix = 10
        deltaPix = 0.1
        kwargs_sersic_ellipse = {
            'amp': 1.,
            'R_sersic': .6,
            'n_sersic': 7,
            'center_x': 0,
            'center_y': 0,
            'e1': 0.2,
            'e2': 0.3
        }

        lens_light_model_list = ['SERSIC']
        source_model_list = ['SERSIC_ELLIPSE']
        kwargs_source = [kwargs_sersic_ellipse]
        kwargs_options = {
            'lens_light_model_list': lens_light_model_list,
            'source_light_model_list': source_model_list,
            'psf_type': 'pixel',
            'point_source': True
            # if True, simulates point source at source position of 'sourcePos_xy' in kwargs_else
        }
        source = self.SimAPI.source_plane(kwargs_options, kwargs_source,
                                          numPix, deltaPix)
        assert len(source) == numPix
Пример #2
0
class SingleBand(object):
    """
    class to operate on single exposure
    """
    def __init__(self, collector_area, numPix, deltaPix, readout_noise,
                 sky_brightness, extinction, exposure_time, psf_type, fwhm,
                 *args, **kwargs):
        """
        :param collector_area: area of collector in m^2
        :param numPix: number of pixels
        :param deltaPix: FoV per pixel in units of arcsec
        :param readout_noise: rms value of readout per pixel in units of photons
        :param sky_brightness: number of photons of sky per area (arcsec) per time (second) for a collector area (1 m^2)
        :param extinction: exctinction (galactic and atmosphere combined).
        Only use this if magnitude calibration is done without it.
        :param exposure_time: exposure time (seconds)
        :param psf_type:
        :param fwhm:
        :param args:
        :param kwargs:
        """
        self.simulation = Simulation()
        sky_per_pixel = sky_brightness * collector_area * deltaPix**2  # time independent noise term per pixel per second
        sigma_bkg = np.sqrt(
            readout_noise**2 + exposure_time * sky_per_pixel**2
        ) / exposure_time  # total Gaussian noise term per pixel in full exposure (in units of counts per second)
        kwargs_data = self.simulation.data_configure(numPix, deltaPix,
                                                     exposure_time, sigma_bkg)
        self._data = Data(kwargs_data)
        kwargs_psf = self.simulation.psf_configure(psf_type, fwhm)
        self._psf = PSF(kwargs_psf)
        self._flux_calibration_factor = collector_area / extinction * deltaPix**2  # transforms intrinsic surface brightness per angular area into the flux normalizations per pixel

    def simulate(self,
                 kwargs_options,
                 kwargs_lens,
                 kwargs_source,
                 kwargs_lens_light,
                 kwargs_else,
                 lens_colour,
                 source_colour,
                 quasar_colour,
                 no_noise=False,
                 source_add=True,
                 lens_light_add=True,
                 point_source_add=True):
        """

        :param kwargs_options:
        :param kwargs_lens:
        :param kwargs_source:
        :param kwargs_lens_light:
        :param kwargs_else:
        :param no_noise:
        :return:
        """
        lensLightModel = LightModel(
            kwargs_options.get('lens_light_model_list', []))
        sourceModel = LightModel(
            kwargs_options.get('source_light_model_list', []))
        lensModel = LensModel(
            lens_model_list=kwargs_options.get('lens_model_list', []))
        pointSource = PointSource(
            point_source_type_list=kwargs_options.get('point_source_list', []),
            lensModel=lensModel,
            fixed_magnification_list=kwargs_options.get(
                'fixed_magnification_list', None),
            additional_images_list=kwargs_options.get('additional_images',
                                                      None))

        norm_factor_source = self._flux_calibration_factor * source_colour
        norm_factor_lens_light = self._flux_calibration_factor * lens_colour
        norm_factor_point_source = self._flux_calibration_factor * quasar_colour
        kwargs_source_updated, kwargs_lens_light_updated, kwargs_else_updated = self.simulation.normalize_flux(
            kwargs_options, kwargs_source, kwargs_lens_light, kwargs_else,
            norm_factor_source, norm_factor_lens_light,
            norm_factor_point_source)
        imageModel = ImageModel(self._data,
                                self._psf,
                                lensModel,
                                sourceModel,
                                lensLightModel,
                                pointSource,
                                kwargs_numerics={})
        image = self.simulation.simulate(imageModel,
                                         kwargs_lens,
                                         kwargs_source_updated,
                                         kwargs_lens_light_updated,
                                         kwargs_else_updated,
                                         no_noise=no_noise,
                                         source_add=source_add,
                                         lens_light_add=lens_light_add,
                                         point_source_add=point_source_add)
        return image

    def source_plane(self,
                     kwargs_options,
                     kwargs_source,
                     source_colour,
                     numPix=100,
                     deltaPix=0.01):
        """

        :param kwargs_options:
        :param kwargs_source:
        :param kwargs_else:
        :param source_colour:
        :param numPix:
        :param deltaPix:
        :return:
        """
        norm_factor_source = self._flux_calibration_factor * source_colour
        kwargs_source_updated = self.simulation.normalize_flux_source(
            kwargs_options, kwargs_source, norm_factor_source)
        image = self.simulation.source_plane(kwargs_options,
                                             kwargs_source_updated, numPix,
                                             deltaPix)
        return image
Пример #3
0
class TestSimulation(object):
    def setup(self):
        self.SimAPI = Simulation()

        # data specifics
        sigma_bkg = 1.  # background noise per pixel
        exp_time = 10  # exposure time (arbitrary units, flux per pixel is in units #photons/exp_time unit)
        numPix = 100  # cutout pixel size
        deltaPix = 0.05  # pixel size in arcsec (area per pixel = deltaPix**2)
        fwhm = 0.5  # full width half max of PSF

        # PSF specification

        data_class = self.SimAPI.data_configure(numPix, deltaPix, exp_time,
                                                sigma_bkg)
        self.kwargs_data = data_class.constructor_kwargs()
        psf_class = self.SimAPI.psf_configure(psf_type='GAUSSIAN',
                                              fwhm=fwhm,
                                              kernelsize=31,
                                              deltaPix=deltaPix,
                                              truncate=5)
        self.kwargs_psf = psf_class.constructor_kwargs()

        # 'EXERNAL_SHEAR': external shear
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'q': 0.8,
            'phi_G': 0.2
        }

        lens_model_list = ['SPEP', 'SHEAR']
        self.kwargs_lens = [kwargs_spemd, kwargs_shear]
        lens_model_class = LensModel(lens_model_list=lens_model_list)
        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'I0_sersic': 1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {
            'I0_sersic': 1.,
            'R_sersic': .6,
            'n_sersic': 7,
            'center_x': 0,
            'center_y': 0,
            'phi_G': 0.2,
            'q': 0.9
        }

        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': 0.0,
                'dec_source': 0.0,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness
        point_source_class = PointSource(
            point_source_type_list=['SOURCE_POSITION'],
            fixed_magnification_list=[True])
        kwargs_numerics = {'subgrid_res': 2, 'psf_subgrid': True}
        self.imageModel = ImageModel(data_class,
                                     psf_class,
                                     lens_model_class,
                                     source_model_class,
                                     lens_light_model_class,
                                     point_source_class,
                                     kwargs_numerics=kwargs_numerics)

    def test_im_sim(self):
        # model specifics

        # list of lens models, supports:

        # 'EXERNAL_SHEAR': external shear
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'q': 0.8,
            'phi_G': 0.2
        }
        kwargs_lens_list = [kwargs_spemd, kwargs_shear]
        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'I0_sersic': 1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {
            'I0_sersic': 1.,
            'R_sersic': .6,
            'n_sersic': 7,
            'center_x': 0,
            'center_y': 0,
            'phi_G': 0.2,
            'q': 0.9
        }

        kwargs_lens_light_list = [kwargs_sersic]
        kwargs_source_list = [kwargs_sersic_ellipse]
        kwargs_ps = [
            {
                'ra_source': 0.0,
                'dec_source': 0.0,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness
        image_sim = self.SimAPI.simulate(self.imageModel, kwargs_lens_list,
                                         kwargs_source_list,
                                         kwargs_lens_light_list, kwargs_ps)

        assert len(image_sim) == 100
        npt.assert_almost_equal(np.sum(image_sim),
                                24476.280571230454,
                                decimal=-3)

    def test_normalize_flux(self):
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'q': 0.8,
            'phi_G': 0.2
        }

        lens_model_list = ['SPEP', 'SHEAR']
        kwargs_lens_list = [kwargs_spemd, kwargs_shear]

        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'I0_sersic': 1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {
            'I0_sersic': 1.,
            'R_sersic': .6,
            'n_sersic': 7,
            'center_x': 0,
            'center_y': 0,
            'phi_G': 0.2,
            'q': 0.9
        }
        lens_light_model_list = ['SERSIC']
        kwargs_lens_light_list = [kwargs_sersic]
        source_model_list = ['SERSIC_ELLIPSE']
        kwargs_source_list = [kwargs_sersic_ellipse]

        kwargs_ps = [
            {
                'ra_source': 0.0,
                'dec_source': 0.0,
                'source_amp': 1.
            }
        ]  # quasar point source position in the source plane and intrinsic brightness

        kwargs_options = {
            'lens_model_list': lens_model_list,
            'lens_light_model_list': lens_light_model_list,
            'source_light_model_list': source_model_list,
            'psf_type': 'PIXEL',
            'point_source_list': ['SOURCE_POSITION'],
            'fixed_magnification': True
            # if True, simulates point source at source position of 'sourcePos_xy' in kwargs_ps
        }
        #image_sim = self.SimAPI.simulate(self.imageModel, kwargs_lens_list, kwargs_source_list,
        #                          kwargs_lens_light_list, kwargs_ps)
        kwargs_source_updated, kwargs_lens_light_updated, kwargs_else_updated = self.SimAPI.normalize_flux(
            kwargs_options,
            kwargs_source_list,
            kwargs_lens_light_list,
            kwargs_ps,
            norm_factor_source=3,
            norm_factor_lens_light=2,
            norm_factor_point_source=0.)
        print(kwargs_else_updated, 'test')
        assert kwargs_else_updated[0]['source_amp'] == 0

    def test_normalize_flux_source(self):
        # 'EXERNAL_SHEAR': external shear
        kwargs_shear = {
            'e1': 0.01,
            'e2': 0.01
        }  # gamma_ext: shear strength, psi_ext: shear angel (in radian)
        kwargs_spemd = {
            'theta_E': 1.,
            'gamma': 1.8,
            'center_x': 0,
            'center_y': 0,
            'q': 0.8,
            'phi_G': 0.2
        }

        lens_model_list = ['SPEP', 'SHEAR']
        kwargs_lens_list = [kwargs_spemd, kwargs_shear]

        # list of light profiles (for lens and source)
        # 'SERSIC': spherical Sersic profile
        kwargs_sersic = {
            'I0_sersic': 1.,
            'R_sersic': 0.1,
            'n_sersic': 2,
            'center_x': 0,
            'center_y': 0
        }
        # 'SERSIC_ELLIPSE': elliptical Sersic profile
        kwargs_sersic_ellipse = {
            'I0_sersic': 1.,
            'R_sersic': .6,
            'n_sersic': 7,
            'center_x': 0,
            'center_y': 0,
            'phi_G': 0.2,
            'q': 0.9
        }

        lens_light_model_list = ['SERSIC']
        kwargs_lens_light_list = [kwargs_sersic]
        source_model_list = ['SERSIC_ELLIPSE']
        kwargs_source_list = [kwargs_sersic_ellipse]
        kwargs_options = {
            'lens_model_list': lens_model_list,
            'lens_light_model_list': lens_light_model_list,
            'source_light_model_list': source_model_list,
            'psf_type': 'PIXEL',
            'point_source': True
            # if True, simulates point source at source position of 'sourcePos_xy' in kwargs_else
        }
        kwargs_source_updated = self.SimAPI.normalize_flux_source(
            kwargs_options, kwargs_source_list, norm_factor_source=10)
        assert kwargs_source_updated[0][
            'I0_sersic'] == kwargs_source_list[0]['I0_sersic'] * 10

    def test_source_plane(self):
        numPix = 10
        deltaPix = 0.1
        kwargs_sersic_ellipse = {
            'I0_sersic': 1.,
            'R_sersic': .6,
            'n_sersic': 7,
            'center_x': 0,
            'center_y': 0,
            'phi_G': 0.2,
            'q': 0.9
        }

        lens_light_model_list = ['SERSIC']
        source_model_list = ['SERSIC_ELLIPSE']
        kwargs_source = [kwargs_sersic_ellipse]
        kwargs_options = {
            'lens_light_model_list': lens_light_model_list,
            'source_light_model_list': source_model_list,
            'psf_type': 'pixel',
            'point_source': True
            # if True, simulates point source at source position of 'sourcePos_xy' in kwargs_else
        }
        source = self.SimAPI.source_plane(kwargs_options, kwargs_source,
                                          numPix, deltaPix)
        assert len(source) == numPix

    def test_shift_coordinate_grid(self):
        x_shift = 0.05
        y_shift = 0
        kwargs_data_shifted = self.SimAPI.shift_coordinate_grid(
            self.kwargs_data, x_shift, y_shift, pixel_units=False)
        kwargs_data_new = copy.deepcopy(self.kwargs_data)
        kwargs_data_new['ra_shift'] = x_shift
        kwargs_data_new['dec_shift'] = y_shift
        data = Data(kwargs_data=kwargs_data_shifted)
        data_new = Data(kwargs_data=kwargs_data_new)
        ra, dec = 0, 0
        x, y = data.map_coord2pix(ra, dec)
        x_new, y_new = data_new.map_coord2pix(ra, dec)
        npt.assert_almost_equal(x, x_new, decimal=10)
        npt.assert_almost_equal(y, y_new, decimal=10)

        ra, dec = data.map_pix2coord(x, y)
        ra_new, dec_new = data_new.map_pix2coord(x, y)
        npt.assert_almost_equal(ra, ra_new, decimal=10)
        npt.assert_almost_equal(dec, dec_new, decimal=10)

        x_coords, y_coords = data.coordinates
        x_coords_new, y_coords_new = data_new.coordinates
        npt.assert_almost_equal(x_coords[0], x_coords_new[0], decimal=10)
        npt.assert_almost_equal(y_coords[0], y_coords_new[0], decimal=10)