def pipeline_dli(filename, output_file, keywords, verbose=False):
import numpy as np
import linear_operators as lo
import tamasis as tm
# verbosity
tm.var.verbose = verbose
# define observation
obs = tm.PacsObservation(filename, **keywords["PacsObservation"])
# extra masking
tm.step_scanline_masking(obs, **keywords["scanline_masking"])
# get data
tod = obs.get_tod(**keywords["get_tod"])
# deglitching
tm.step_deglitching(obs, tod, **keywords["deglitching"])
# median filtering
tod = tm.filter_median(tod, **keywords["filter_median"])
# define projector
projection = tm.Projection(obs, **keywords["Projection"])
# build instrument model
response = tm.ResponseTruncatedExponential(obs.pack(
obs.instrument.detector.time_constant) / obs.SAMPLING_PERIOD)
compression = tm.CompressionAverage(obs.slice.compression_factor)
masking = tm.Masking(tod.mask)
model = masking * compression * response * projection
# set tod masked values to zero
tod = masking(tod)
# N^-1 operator
invntt = tm.InvNtt(obs)
# for the dli algorithm
M = map_mask(tod, model, **keywords["map_mask"])
# recast model as a new-style LinearOperator from linear_operators package
H = lo.aslinearoperator(model) * M.T
N = lo.aslinearoperator(invntt)
# vectorize data so it is accepted by LinearOperators
y = tod.ravel()
Ds = [tm.DiscreteDifference(axis=i, shapein=projection.shapein) for i in (0, 1)]
Ds = [lo.aslinearoperator(D) for D in Ds]
Ds = [D * M.T for D in Ds]
D = lo.concatenate(Ds)
# handle tau which needs to be an ndarray
keywords["dli"]["tau"] *= np.ones(D.shape[0])
algo = lo.DoubleLoopAlgorithm(H, y, D, noise_covariance=N,
fmin_args=keywords["fmin_args"],
lanczos=keywords["lanczos"],
**keywords["dli"])
# optimize
xe = algo()
# reshape
xe = (M.T * xe).reshape(projection.shapein)
# recast as tamasis map
xe = tm.Map(xe)
# save
xe.save(output_file)
def pipeline_photproject(filenames, output_file, keywords):
"""
Perform regularized least-square inversion of state of the art
PACS model. The PACS model includes tod mask, compression,
response, projection and noise covariance (invntt).
Processing steps are as follows :
- define PacsObservation instance
- mask first scanlines to avoid drift
- get Time Ordered Data (get_tod)
- 2nd level deglitching (with standard projector and tod median
filtering with a narrow window)
- median filtering
- define projection
- perform inversion on model
- save file
Arguments
---------
filenames: list of strings
List of data filenames.
output_file : string
Name of the output fits file.
keywords: dict
Dictionary containing options for all steps as dictionary.
Returns
-------
Returns nothing. Save result as a fits file.
"""
from scipy.sparse.linalg import cgs
import tamasis as tm
# define observation
obs = tm.PacsObservation(filenames, **keywords["PacsObservation"])
# extra masking
tm.step_scanline_masking(obs, **keywords["scanline_masking"])
# get data
tod = obs.get_tod(**keywords["get_tod"])
# deglitching
tm.step_deglitching(obs, tod, **keywords["deglitching"])
# median filtering
tod = tm.filter_median(tod, **keywords["filter_median"])
# define projector
projection = tm.Projection(obs, oversampling=False, **keywords["Projection"])
# build instrument model
masking = tm.Masking(tod.mask)
model = masking * projection
# set tod masked values to zero
tod = masking(tod)
# perform map-making
map_naive = tm.mapper_naive(tod, model, **keywords["mapper_naive"])
# save
map_naive.save(output_file)
def noise_covariance(tod, obs):
"""
Defines the noise covariance matrix
"""
length = 2 ** np.ceil(np.log2(np.array(tod.nsamples) + 200))
invNtt = tm.InvNtt(length, obs.get_filter_uncorrelated())
fft = tm.Fft(length)
padding = tm.Padding(left=invNtt.ncorrelations,
right=length - tod.nsamples - invNtt.ncorrelations)
masking = tm.Masking(tod.mask)
cov = masking * padding.T * fft.T * invNtt * fft * padding * masking
return cov
def pipeline_rls(filenames, output_file, keywords, verbose=False):
"""
Perform regularized least-square inversion of a simple model (tod
mask and projection). Processing steps are as follows :
- define PacsObservation instance
- get Time Ordered Data (get_tod)
- define projection
- perform inversion on model
- save file
Arguments
---------
filenames: list of strings
List of data filenames.
output_file : string
Name of the output fits file.
keywords: dict
Dictionary containing options for all steps as dictionary.
verbose: boolean (default False)
Set verbosity.
Returns
-------
Returns nothing. Save result as a fits file.
"""
from scipy.sparse.linalg import cgs
import tamasis as tm
# verbosity
keywords["mapper_rls"]["verbose"] = verbose
# define observation
obs_keys = keywords.get("PacsObservation", {})
obs = tm.PacsObservation(filenames, **obs_keys)
# get data
tod_keys = keywords.get("get_tod", {})
tod = obs.get_tod(**tod_keys)
# define projector
proj_keys = keywords.get("Projection", {})
projection = tm.Projection(obs, **proj_keys)
# define mask
masking_tod = tm.Masking(tod.mask)
# define full model
model = masking_tod * projection
# perform map-making inversion
mapper_keys = keywords.get("mapper_rls", {})
map_rls = tm.mapper_rls(tod, model, solver=cgs, **mapper_keys)
# save
map_rls.save(output_file)
def __call__(self, data, state):
# get parameters
C = state.get('compression')
factor = state.get('compression_factor', 1)
# decompress
uc_data = uncompress(data, C, factor)
uc_data.mask = state['mask']
# filter
uc_data = tm.filter_median(uc_data, length=self.filter_length)
tm.deglitch_l2mad(uc_data, state['model'])
# define mask
masking = tm.Masking(uc_data.mask)
# update model
state['deglitching_mask'] = uc_data.mask
state['deglitching_mask_lo'] = masking
state['model'] = masking * state['model']
state['deglitching_filter_length'] = self.filter_length
return data
def pipeline_huber(filenames, output_file, keywords, verbose=False):
"""
Perform huber regularized inversion of state of the art
PACS model. The PACS model includes tod mask, compression,
response, projection and noise covariance (invntt).
Processing steps are as follows :
- define PacsObservation instance
- mask first scanlines to avoid drift
- get Time Ordered Data (get_tod)
- 2nd level deglitching (with standard projector and tod median
filtering with a narrow window)
- median filtering
- define projection
- perform inversion on model
- save file
Arguments
---------
filenames: list of strings
List of data filenames.
output_file : string
Name of the output fits file.
keywords: dict
Dictionary containing options for all steps as dictionary.
verbose: boolean (default False)
Set verbosity.
Returns
-------
Returns nothing. Save result as a fits file.
"""
from scipy.sparse.linalg import cgs
import tamasis as tm
import linear_operators as lo
# verbosity
# define observation
obs = tm.PacsObservation(filenames, **keywords["PacsObservation"])
# extra masking
tm.step_scanline_masking(obs, **keywords["scanline_masking"])
# get data
tod = obs.get_tod(**keywords["get_tod"])
# deglitching
# need to adapt degltiching to any compression model
tm.step_deglitching(obs, tod, **keywords["deglitching"])
# median filtering
tod = tm.filter_median(tod, **keywords["filter_median"])
# define projector
projection = tm.Projection(obs, **keywords["Projection"])
P = lo.aslinearoperator(projection)
# build instrument model
masking = tm.Masking(tod.mask)
Mt = lo.aslinearoperator(masking)
# compression
mode = compressions[keywords["compression"].pop("mode")]
factor = keywords["compression"].pop("factor")
C = mode(data, factor, **keywords["compression"])
# define map mask
M = map_mask(tod, model, **keywords["map_mask"])
# recast model as a new-style LinearOperator from linear_operators package
H = Mt * C * P * M
# vectorize data so it is accepted by LinearOperators
y = tod.ravel()
Ds = [
tm.DiscreteDifference(axis=i, shapein=projection.shapein)
for i in (0, 1)
]
Ds = [lo.aslinearoperator(D) for D in Ds]
Ds = [D * M.T for D in Ds]
# set tod masked values to zero
tod = masking(tod)
# perform map-making inversion
hypers = (keywords["hacg"].pop("hyper"), ) * len(Ds)
deltas = (keywords["hacg"].pop("delta"), ) * (len(Ds) + 1)
map_huber = lo.hacg(H,
tod.ravel(),
priors=Ds,
hypers=hypers,
deltas=deltas,
**keywords["hacg"])
# save
map_huber = (M.T * map_huber).reshape(projection.shapein)
map_huber = tm.Map(map_huber)
map_huber.save(output_file)
C = lo.aslinearoperator(
compression.aslinearoperator(shape=(tod.size / factor, tod.size)))
ctod = compression.direct(tod)
# uncompress for deglitching
uctod = tod.copy(tod.shape)
y0, t = lo.spl.cgs(C.T * C, C.T * ctod.flatten())
uctod[:] = y0.reshape(tod.shape)
# deglitching
projection = tm.Projection(pacs,
header=header,
resolution=3.,
npixels_per_sample=5)
uctod.mask = tm.deglitch_l2mad(uctod, projection)
ctod = compression.direct(uctod)
# model
masking = tm.Masking(uctod.mask)
model = compression * masking * projection
# remove drift
#ctod = tm.filter_median(ctod, length=3000 / 8.)
# first map
M = lo.aslinearoperator(model.aslinearoperator())
#P = lo.aslinearoperator(projection.aslinearoperator())
#C = csh.averaging(tod.shape, factor=8)
#I = lo.mask(uctod.mask)
#M = C * I.T * I * P
#M = C * P
backmap = model.transpose(ctod)
weights = model.transpose(ctod.ones(ctod.shape))
MM = lo.mask(weights == 0)
M = M * MM.T
# define algo
# reset pacs header to have a shape multiple of 4 #header = pacs.get_map_header() #header['NAXIS1'] = 192 #header['NAXIS2'] = 192 #header['CRPIX1'] = 96 #header['CRPIX2'] = 96 # data tod = pacs.get_tod() # remove bad pixels (by updating mask !) #tod = remove_bad_pixels(tod) # deglitching #projection = tm.Projection(pacs, header=header, resolution=3., npixels_per_sample=6) projection = tm.Projection(pacs, resolution=3., npixels_per_sample=6) tm.deglitch_l2mad(tod, projection) # model masking = tm.Masking(tod.mask) model = masking * projection # remove drift tod = tm.filter_median(tod, length=999) model = masking * projection # naive map backmap = model.transpose(tod) # coverage map weights = model.transpose(tod.ones(tod.shape)) # mask on map mask = weights == 0 M = lo.mask(mask) # preconditionner iweights = 1 / weights iweights[np.where(np.isfinite(iweights) == 0)] = 0.
def pipeline_wrls(filenames, output_file, keywords, verbose=False):
"""
Perform regularized least-square inversion of state of the art
PACS model. The PACS model includes tod mask, compression,
response, projection and noise covariance (invntt).
Processing steps are as follows :
- define PacsObservation instance
- mask first scanlines to avoid drift
- get Time Ordered Data (get_tod)
- 2nd level deglitching (with standard projector and tod median
filtering with a narrow window)
- median filtering
- define projection
- perform inversion on model
- save file
Arguments
---------
filenames: list of strings
List of data filenames.
output_file : string
Name of the output fits file.
keywords: dict
Dictionary containing options for all steps as dictionary.
verbose: boolean (default False)
Set verbosity.
Returns
-------
Returns nothing. Save result as a fits file.
"""
from scipy.sparse.linalg import cgs
import tamasis as tm
# verbosity
keywords["mapper_rls"]["verbose"] = verbose
# define observation
obs = tm.PacsObservation(filenames, **keywords["PacsObservation"])
# extra masking
tm.step_scanline_masking(obs, **keywords["scanline_masking"])
# get data
tod = obs.get_tod(**keywords["get_tod"])
# deglitching
tm.step_deglitching(obs, tod, **keywords["deglitching"])
# median filtering
tod = tm.filter_median(tod, **keywords["filter_median"])
# define projector
projection = tm.Projection(obs, **keywords["Projection"])
# build instrument model
response = tm.ResponseTruncatedExponential(
obs.pack(obs.instrument.detector.time_constant) / obs.SAMPLING_PERIOD)
compression = tm.CompressionAverage(obs.slice.compression_factor)
masking = tm.Masking(tod.mask)
model = masking * compression * response * projection
# set tod masked values to zero
tod = masking(tod)
# N^-1 operator
invntt = tm.InvNtt(obs)
# perform map-making inversion
map_rls = tm.mapper_rls(tod,
model,
invntt=invntt,
solver=cgs,
**keywords["mapper_rls"])
# save
map_rls.save(output_file)
#!/usr/bin/env python
import numpy as np
import tamasis as tm
import lo
import scipy.sparse.linalg as spl
# data
pacs = tm.PacsObservation(filename=tm.tamasis_dir + 'tests/frames_blue.fits')
tod = pacs.get_tod()
# projector
projector = tm.Projection(pacs,
resolution=3.2,
oversampling=False,
npixels_per_sample=6)
masking_tod = tm.Masking(tod.mask)
model = masking_tod * projector
# naive map
backmap = model.transpose(tod)
# coverage map
weights = model.transpose(tod.ones(tod.shape))
# mask on map
mask = weights == 0
M = lo.mask(mask)
# preconditionner
iweights = 1 / weights
iweights[np.where(np.isfinite(iweights) == 0)] = 0.
M0 = lo.diag(iweights.flatten())
# transform to lo
P = lo.aslinearoperator(model.aslinearoperator())
# priors
Dx = lo.diff(backmap.shape, axis=0)
