def test_psf_subtraction():
"""
Test that we can create the PSF with the gridder.
We do this by gridding vis and weights of one
to create images of (ny, nx) and (ny*2, nx*2).
Then we ensure that the centre of the second
grid is equal to the entirety of the first
"""
from africanus.filters import convolution_filter
from africanus.gridding.simple import grid, degrid
import numpy as np
corr = (2, 2)
chan = 16
rows = 200
npix = ny = nx = 257
ARCSEC2RAD = 4.8481e-6
DELTA_PIX = 6 * ARCSEC2RAD
UV_SCALE = npix * DELTA_PIX
rf = lambda *a, **kw: np.random.random(*a, **kw)
# Channels of MeerKAT L band
ref_wave = lightspeed / np.linspace(
.856e9, .856e9 * 2, chan, endpoint=True)
# Random UVW coordinates
uvw = rf(size=(rows, 3)).astype(np.float64) * 128 * UV_SCALE
# Visibilities and weight of one
vis = np.ones(shape=(rows, chan) + corr, dtype=np.complex64)
weights = np.ones(shape=(rows, chan) + corr, dtype=np.float32)
# Indicate all visibilities are unflagged
flags = np.zeros_like(vis, dtype=np.bool)
conv_filter = convolution_filter(3, 63, "sinc")
# Compute PSF of (ny, nx)
psf = grid(vis, uvw, flags, weights, ref_wave, conv_filter, nx, ny)
# Compute PSF of (ny*2, nx*2)
psf_squared = grid(vis, uvw, flags, weights, ref_wave, conv_filter, ny * 2,
nx * 2)
# Test that we have gridded something
assert np.any(psf_squared > 0.0)
assert np.any(psf > 0.0)
# Extract the centre of the squared PSF
centre_vis = psf_squared[ny - ny // 2:1 + ny + ny // 2,
nx - nx // 2:1 + nx + nx // 2, :, :]
# Should be the same
assert np.all(centre_vis == psf)
def main():
logging.basicConfig(level=logging.INFO, format="%(message)s")
args = create_parser().parse_args()
logging.info("Creating %s filter with half support of %d "
"and %d oversampling" %
(args.filter, args.half_support, args.oversample))
if len(args.kwargs) > 0:
logging.info("Extra keywords %s" % args.kwargs)
conv_filter = convolution_filter(args.half_support,
args.oversample,
args.filter,
normalise=args.normalise,
**args.kwargs)
_plot_filter(np.abs(conv_filter.filter_taps))
def test_dask_degridder_gridder():
from africanus.filters import convolution_filter
from africanus.gridding.simple.dask import grid, degrid
da = pytest.importorskip('dask.array')
row = 100
chan = 16
corr = (2, 2)
nx = ny = 1024
cell_size = 6
row_chunk = 25
chan_chunk = 4
corr_chunk = corr
vis_shape = (row, chan) + corr
vis_chunks = (row_chunk, chan_chunk) + corr_chunk
vis = (da.random.random(vis_shape, chunks=vis_chunks) +
1j * da.random.random(vis_shape, chunks=vis_chunks))
uvw = da.random.random((row, 3), chunks=(row_chunk, 3))
# 4 channels of MeerKAT L band
wavelengths = lightspeed / da.linspace(
.856e9, .856e9 * 2, chan, chunks=chan_chunk)
flags = da.random.randint(0, 1, size=vis_shape, chunks=vis_chunks)
weights = da.random.random(vis_shape, chunks=vis_chunks)
conv_filter = convolution_filter(3, 21, "kaiser-bessel")
vis_grid = grid(vis, uvw, flags, weights, wavelengths, conv_filter,
cell_size, ny, nx)
degrid_vis = degrid(vis_grid, uvw, weights, wavelengths, conv_filter,
cell_size)
np_vis_grid, np_degrid_vis = da.compute(vis_grid, degrid_vis)
assert np_vis_grid.shape == (ny, nx) + corr
assert np_degrid_vis.shape == (row, chan) + corr
def main():
args = create_parser().parse_args()
logging.basicConfig(level=logging.INFO, format="%(message)s")
logging.info("Creating %s filter with half support of %d "
"and %d oversampling" %
(args.filter, args.half_support, args.oversample))
if len(args.kwargs) > 0:
logging.info("Extra keywords %s" % args.kwargs)
conv_filter = convolution_filter(args.half_support,
args.oversample,
args.filter,
normalise=args.normalise,
**args.kwargs)
print(args.kwargs)
data = taper("kaiser-bessel", args.ny, args.nx, conv_filter, **args.kwargs)
_plot_taper(data, args.ny, args.nx)
def test_dask_degridder_gridder():
from africanus.filters import convolution_filter
from africanus.gridding.simple.dask import grid, degrid
import dask.array as da
row = 100
chan = 16
corr = (2, 2)
nx = ny = 1024
row_chunk = 25
chan_chunk = 4
corr_chunk = corr
vis_shape = (row, chan) + corr
vis_chunks = (row_chunk, chan_chunk) + corr_chunk
vis = (da.random.random(vis_shape, chunks=vis_chunks) +
1j * da.random.random(vis_shape, chunks=vis_chunks))
uvw = da.random.random((row, 3), chunks=(row_chunk, 3))
# 4 channels of MeerKAT L band
ref_wave = lightspeed / da.linspace(
.856e9, .856e9 * 2, chan, chunks=chan_chunk)
flags = da.random.randint(0, 1, size=vis_shape, chunks=vis_chunks)
weights = da.random.random(vis_shape, chunks=vis_chunks)
conv_filter = convolution_filter(3, 63, "sinc")
vis_grid = grid(vis, uvw, flags, weights, ref_wave, conv_filter, ny, nx)
degrid_vis = degrid(vis_grid, uvw, weights, ref_wave, conv_filter)
np_vis_grid, np_degrid_vis = da.compute(vis_grid, degrid_vis)
assert np_vis_grid.shape == (ny, nx) + corr
assert np_degrid_vis.shape == (row, chan) + corr
vmax = Q.getcol("ABS_VMAX").item()
wmin = Q.getcol("WMIN").item()
wmax = Q.getcol("WMAX").item()
if args.cell_size:
cell_size = args.cell_size
else:
cell_size = estimate_cell_size(umax,
vmax,
wavelength,
factor=3,
ny=args.npix,
nx=args.npix).max()
# Convolution Filter
conv_filter = convolution_filter(3, 63, "kaiser-bessel")
natural_weights = da.ones_like(xds.DATA.data, dtype=np.float64)
dirty = grid(xds.DATA.data,
xds.UVW.data,
xds.FLAG.data,
natural_weights,
wavelength,
conv_filter,
cell_size,
ny=args.npix,
nx=args.npix)
ncorr = dirty.shape[2]
def test_degridder_gridder():
""" Basic test of the gridder/degridder """
import numpy as np
from africanus.filters import convolution_filter
from africanus.gridding.simple import grid, degrid
conv_filter = convolution_filter(3, 63, "sinc")
nx = ny = npix = 257
corr = (2, 2)
chan = 4
nvis = npix * npix
npoints = 10000
ARCSEC2RAD = 4.8481e-6
DELTA_PIX = 6 * ARCSEC2RAD
UV_SCALE = npix * DELTA_PIX
rf = lambda *a, **kw: np.random.random(*a, **kw)
# Channels of MeerKAT L band
ref_wave = lightspeed / np.linspace(
.856e9, .856e9 * 2, chan, endpoint=True)
# Random UVW coordinates
uvw = rf(size=(nvis, 3)).astype(np.float64) * 128 * UV_SCALE
# Simulate a sky model of npoints random point sources
# by setting the I correlation
sky_model = np.zeros(shape=(nx, ny) + corr, dtype=np.float64)
x = np.random.randint(0, nx, npoints)
y = np.random.randint(0, ny, npoints)
sky_model[x, y, 0, 0] = rf(size=npoints)
from numpy.fft import fftshift, fft2, ifftshift
sky_grid = np.empty_like(
sky_model,
dtype=np.complex128 if sky_model.dtype == np.float64 else np.complex64)
corr_products = product(*(range(c) for c in corr))
for c1, c2 in corr_products:
sky_grid[:, :, c1,
c2] = fftshift(fft2(ifftshift(sky_model[:, :, c1, c2])))
weights = np.random.random(size=(nvis, chan) + corr)
# Degrid the sky model to produce visibilities
vis = degrid(sky_grid, uvw, weights, ref_wave, conv_filter)
assert vis.shape == (nvis, chan) + corr
# Indicate all visibilities are unflagged
flags = np.zeros_like(vis, dtype=np.bool)
vis_grid = grid(vis, uvw, flags, weights, ref_wave, conv_filter, nx, ny)
assert vis_grid.shape == (ny, nx) + corr
# Test that a user supplied grid works
vis_grid = grid(vis,
uvw,
flags,
weights,
ref_wave,
conv_filter,
grid=vis_grid)
assert vis_grid.shape == (ny, nx) + corr
def test_psf_subtraction(plot):
"""
Test that we can create the PSF with the gridder.
We do this by gridding vis and weights of one
to create images of (ny, nx) and (ny*2, nx*2).
Then we ensure that the centre of the second
grid is equal to the entirety of the first
"""
from africanus.filters import convolution_filter
from africanus.gridding.simple import grid, degrid
from numpy.fft import fft2, fftshift, ifft2, ifftshift
np.random.seed(50)
corr = (1, )
chan = 16
rows = 1024
ny = nx = 512
# Channels of MeerKAT L band
wavelengths = lightspeed / np.linspace(
.856e9, .856e9 * 2, chan, endpoint=True)
# Random UVW coordinates
uvw = np.empty((rows, 3), dtype=np.float64)
uvw[:, :2] = (rf((rows, 2)) - 0.5) * 100
uvw[:, 2] = (rf((rows, )) - 0.5) * 10
# Estimate cell size given UVW coordiantes and wavelengths
cell_size = estimate_cell_size(uvw[:, 0], uvw[:, 1], wavelengths,
factor=5).max()
# We have an even number of pixels
assert ny % 2 == 0 and 2 * (ny // 2) == ny
assert nx % 2 == 0 and 2 * (nx // 2) == nx
assert ny == nx
# Create image with a single point
image = np.zeros((ny, nx), dtype=np.float64)
image[ny // 2, nx // 2] = 1
conv_filter = convolution_filter(15, 63, "kaiser-bessel")
weights = np.ones(shape=(rows, chan) + corr, dtype=np.float64)
flags = np.zeros_like(weights, dtype=np.uint8)
# V = R(I)
# Created a padded image, FFT into the centre
fft_image = np.zeros((2 * ny, 2 * nx), dtype=np.complex128)
fft_image[ny - ny // 2:ny + ny // 2,
nx - nx // 2:nx + nx // 2] = (fftshift(fft2(ifftshift(image))))
assert np.sum(fft_image) == ny * nx
vis = degrid(fft_image[:, :, None],
uvw,
weights,
wavelengths,
conv_filter,
2 * cell_size,
dtype=np.complex128)
assert vis.shape == (rows, chan, 1)
# I^D = R+(V)
grid_vis = np.zeros((2 * ny, 2 * nx, 1), dtype=np.complex128)
grid_vis[ny - ny // 2:ny + ny // 2,
nx - nx // 2:nx + nx // 2, :] = (grid(vis,
uvw,
flags,
weights,
wavelengths,
conv_filter,
2 * cell_size,
ny=ny,
nx=nx))
dirty = fftshift(ifft2(ifftshift(grid_vis[:, :, 0]))).real
assert grid_vis.dtype == np.complex128
assert dirty.dtype == np.float64
# PSF = R+(1)
grid_unity = grid(np.ones_like(vis),
uvw,
flags,
weights,
wavelengths,
conv_filter,
cell_size,
ny=2 * ny,
nx=2 * nx)
psf = fftshift(ifft2(ifftshift(grid_unity[:, :, 0]))).real
assert grid_unity.dtype == np.complex128
assert psf.dtype == np.float64
# Test that we have gridded something
assert np.any(dirty != 0.0)
assert np.any(psf != 0.0)
norm_psf = psf / psf.max()
norm_dirty = dirty / psf.max()
psf, dirty = norm_psf, norm_dirty
# Extract the centre of the PSF and the dirty image
centre_psf = psf[ny - ny // 2:ny + ny // 2,
nx - nx // 2:nx + nx // 2].copy()
centre_dirty = dirty[ny - ny // 2:ny + ny // 2,
nx - nx // 2:nx + nx // 2].copy()
assert centre_psf.shape == centre_dirty.shape
if plot:
try:
import matplotlib.pyplot as plt
except ImportError:
pass
else:
plt.subplot(1, 4, 1)
plt.imshow(centre_dirty, cmap="cubehelix")
plt.title("CENTRE DIRTY")
plt.colorbar()
plt.subplot(1, 4, 2)
plt.imshow(centre_psf, cmap="cubehelix")
plt.title("CENTRE PSF")
plt.colorbar()
plt.subplot(1, 4, 3)
plt.imshow(centre_psf - centre_dirty, cmap="cubehelix")
plt.title("PSF - DIRTY")
plt.colorbar()
plt.subplot(1, 4, 4)
plt.imshow(psf, cmap="cubehelix")
plt.title("PSF")
plt.colorbar()
plt.show(True)
# Must have some non-zero values
assert np.any(dirty != 0.0)
assert np.any(centre_psf != 0.0)
# Should be very much the same
assert np.allclose(centre_psf, centre_dirty, rtol=1e-64)
def test_degridder_gridder():
""" Basic test of the gridder/degridder """
from africanus.filters import convolution_filter
from africanus.gridding.simple import grid, degrid
conv_filter = convolution_filter(3, 21, "kaiser-bessel")
nx = ny = npix = 257
corr = (2, 2)
chan = 4
nvis = npix * npix
npoints = 10000
cell_size = 6 # 6 arc seconds
# Channels of MeerKAT L band
wavelengths = lightspeed / np.linspace(
.856e9, .856e9 * 2, chan, endpoint=True)
# Random UVW coordinates
uvw = rf(size=(nvis, 3)).astype(np.float64) * 128
# Simulate a sky model of npoints random point sources
# by setting the I correlation
sky_model = np.zeros(shape=(nx, ny) + corr, dtype=np.float64)
x = np.random.randint(0, nx, npoints)
y = np.random.randint(0, ny, npoints)
sky_model[x, y, 0, 0] = rf(size=npoints)
from numpy.fft import fftshift, fft2, ifftshift
sky_grid = np.empty_like(
sky_model,
dtype=np.complex128 if sky_model.dtype == np.float64 else np.complex64)
corr_products = product(*(range(c) for c in corr))
for c1, c2 in corr_products:
transform = ifftshift(sky_model[:, :, c1, c2])
sky_grid[:, :, c1, c2] = fftshift(fft2(transform))
weights = np.random.random(size=(nvis, chan) + corr)
# Degrid the sky model to produce visibilities
vis = degrid(sky_grid, uvw, weights, wavelengths, conv_filter, cell_size)
assert vis.shape == (nvis, chan) + corr
# Indicate all visibilities are unflagged
flags = np.zeros_like(vis, dtype=np.bool)
vis_grid = grid(vis, uvw, flags, weights, wavelengths, conv_filter,
cell_size, nx, ny)
assert vis_grid.shape == (ny, nx) + corr
# Test that a user supplied grid works
vis_grid = grid(vis,
uvw,
flags,
weights,
wavelengths,
conv_filter,
cell_size,
grid=vis_grid)
assert vis_grid.shape == (ny, nx) + corr
