Create a population of n randomly placed satellites within a survey mask or catalog specified in the config file.
    Satellites are distributed uniformly in distance modulus, uniformly in log(stellar_mass) (M_sol), and uniformly in
    log(r_physical) (kpc). The ranges can be set by the user.

    Returns the simulated area (deg^2) as well as the
    lon (deg), lat (deg), distance modulus, stellar mass (M_sol), and half-light radius (deg) for each satellite

def satellitePopulationOrig(config, n,
                            range_distance_modulus=[16.5, 24.],
                            range_stellar_mass=[1.e2, 1.e5],
                            range_r_physical=[5.e-3, 1.],
                            mode='mask',
                            plot=False):
    """
    Create a population of n randomly placed satellites within a survey mask or catalog specified in the config file.
    Satellites are distributed uniformly in distance modulus, uniformly in log(stellar_mass) (M_sol), and uniformly in
    log(r_physical) (kpc). The ranges can be set by the user.

    Returns the simulated area (deg^2) as well as the
    lon (deg), lat (deg), distance modulus, stellar mass (M_sol), and half-light radius (deg) for each satellite
    """
    
    if type(config) == str:
        config = ugali.utils.config.Config(config)

    if mode == 'mask':
        mask_1 = ugali.utils.skymap.readSparseHealpixMap(config.params['mask']['infile_1'], 'MAGLIM')
        mask_2 = ugali.utils.skymap.readSparseHealpixMap(config.params['mask']['infile_2'], 'MAGLIM')
        input = (mask_1 > 0.) * (mask_2 > 0.)
    elif mode == 'catalog':
        catalog = ugali.observation.catalog.Catalog(config)
        input = np.array([catalog.lon, catalog.lat])
    
    lon, lat, simulation_area = ugali.utils.skymap.randomPositions(input,
                                                                   config.params['coords']['nside_likelihood_segmentation'],
                                                                   n=n)
    distance_modulus = np.random.uniform(range_distance_modulus[0], 
                                         range_distance_modulus[1], 
                                         n)
    stellar_mass = 10**np.random.uniform(np.log10(range_stellar_mass[0]), 
                                         np.log10(range_stellar_mass[1]), 
                                         n)
    
    half_light_radius_physical = 10**np.random.uniform(np.log10(range_half_light_radius_physical[0]), 
                                                       np.log10(range_half_light_radius_physical[0]), 
                                                       n) # kpc

    half_light_radius = np.degrees(np.arcsin(half_light_radius_physical \
                                             / ugali.utils.projector.distanceModulusToDistance(distance_modulus)))
    
    # One choice of theory prior
    #half_light_radius_physical = ugali.analysis.kernel.halfLightRadius(stellar_mass) # kpc
    #half_light_radius = np.degrees(np.arcsin(half_light_radius_physical \
    #                                               / ugali.utils.projector.distanceModulusToDistance(distance_modulus)))

    if plot:
        pylab.figure()
        #pylab.scatter(lon, lat, c=distance_modulus, s=500 * half_light_radius)
        #pylab.colorbar()
        pylab.scatter(lon, lat, edgecolors='none')
        xmin, xmax = pylab.xlim() # Reverse azimuthal axis
        pylab.xlim([xmax, xmin])
        pylab.title('Random Positions in Survey Footprint')
        pylab.xlabel('Longitude (deg)')
        pylab.ylabel('Latitude (deg)')

        pylab.figure()
        pylab.scatter(stellar_mass, ugali.utils.projector.distanceModulusToDistance(distance_modulus),
                      c=(60. * half_light_radius), s=500 * half_light_radius, edgecolors='none')
        pylab.xscale('log')
        pylab.yscale('log')
        pylab.xlim([0.5 * range_stellar_mass[0], 2. * range_stellar_mass[1]])
        pylab.colorbar()
        pylab.title('Half-light Radius (arcmin)')
        pylab.xlabel('Stellar Mass (arcmin)')
        pylab.ylabel('Distance (kpc)')

    return simulation_area, lon, lat, distance_modulus, stellar_mass, half_light_radius