def convergence_measure_all(filename,index,fits_loader=None):
"""
Measures all the statistical descriptors of a convergence map as indicated by the index instance
"""
logging.debug("Processing {0}".format(filename))
#Load the map
if fits_loader is not None:
conv_map = ConvergenceMap.load(filename,format=fits_loader)
else:
conv_map = ConvergenceMap.load(filename,format=load_fits_default_convergence)
#Allocate memory for observables
descriptors = index
observables = np.zeros(descriptors.size)
#Measure descriptors as directed by input
for n in range(descriptors.num_descriptors):
if type(descriptors[n]) == PowerSpectrum:
l,observables[descriptors[n].first:descriptors[n].last] = conv_map.powerSpectrum(descriptors[n].l_edges)
elif type(descriptors[n]) == Moments:
observables[descriptors[n].first:descriptors[n].last] = conv_map.moments(connected=descriptors[n].connected)
elif type(descriptors[n]) == Peaks:
v,observables[descriptors[n].first:descriptors[n].last] = conv_map.peakCount(descriptors[n].thresholds,norm=descriptors[n].norm)
elif type(descriptors[n]) == PDF:
v,observables[descriptors[n].first:descriptors[n].last] = conv_map.pdf(descriptors[n].thresholds,norm=descriptors[n].norm)
elif type(descriptors[n]) == MinkowskiAll:
v,V0,V1,V2 = conv_map.minkowskiFunctionals(descriptors[n].thresholds,norm=descriptors[n].norm)
observables[descriptors[n].first:descriptors[n].last] = np.hstack((V0,V1,V2))
elif type(descriptors[n]) == MinkowskiSingle:
raise ValueError("Due to computational performance you have to measure all Minkowski functionals at once!")
else:
raise ValueError("Measurement of this descriptor not implemented!!!")
#Return
return observables
def fromConvPower(self,power_func,seed=0,**kwargs): """ This method uses a supplied power spectrum to generate correlated noise maps in real space via FFTs :param power_func: function that given a numpy array of l's returns a numpy array with the according Pl's (this is the input power spectrum); alternatively you can pass an array (l,Pl) and the power spectrum will be calculated with scipy's interpolation routines :type power_func: function with the above specifications, or numpy array (l,Pl) of shape (2,n) :param seed: seed of the random generator :type seed: int. :param kwargs: keyword arguments to be passed to power_func, or to the interpolate.interp1d routine :returns: ConvergenceMap instance of the same exact shape as the one used as blueprint """ assert self.label == "convergence" #Initialize random number generator np.random.seed(seed) #Generate a random Fourier realization and invert it ft_map = self._fourierMap(power_func,**kwargs) noise_map = irfft2(ft_map) return ConvergenceMap(noise_map,self.side_angle)
def peaks_loader(filename,thresholds):
logging.debug("Processing {0} peaks".format(filename))
conv_map = ConvergenceMap.load(filename,format=load_fits_default_convergence)
v,pk = conv_map.peakCount(thresholds,norm=True)
return v
def peaks_loader(filename, thresholds):
logging.debug("Processing {0} peaks".format(filename))
conv_map = ConvergenceMap.load(filename,
format=load_fits_default_convergence)
v, pk = conv_map.peakCount(thresholds, norm=True)
return v
def convergence(self):
"""
Reconstructs the convergence from the E component of the shear
:returns: new ConvergenceMap instance
"""
#Compute Fourier transforms if it wasn't done before
if not hasattr(self, "fourier_E"):
l_edges = np.array([200.0, 400.0])
l, EE, BB, EB = self.decompose(l_edges, keep_fourier=True)
#Invert the Fourier transform to go back to real space
conv = irfft2(self.fourier_E)
#Return the ConvergenceMap instance
return ConvergenceMap(conv, self.side_angle)
def default_callback_loader(filename,l_edges):
"""
Default ensemble loader: reads a FITS data file containing a convergence map and measures its power spectrum
:param args: A dictionary that contains all the relevant parameters as keys. Must have a "map_id" key
:type args: Dictionary
:returns: ndarray of the measured statistics
:raises: AssertionError if the input dictionary doesn't have the required keywords
"""
logging.debug("Processing {0} power".format(filename))
conv_map = ConvergenceMap.load(filename,format=load_fits_default_convergence)
l,Pl = conv_map.powerSpectrum(l_edges)
return Pl
def default_callback_loader(filename, l_edges):
"""
Default ensemble loader: reads a FITS data file containing a convergence map and measures its power spectrum
:param args: A dictionary that contains all the relevant parameters as keys. Must have a "map_id" key
:type args: Dictionary
:returns: ndarray of the measured statistics
:raises: AssertionError if the input dictionary doesn't have the required keywords
"""
logging.debug("Processing {0} power".format(filename))
conv_map = ConvergenceMap.load(filename,
format=load_fits_default_convergence)
l, Pl = conv_map.powerSpectrum(l_edges)
return Pl
def getShapeNoise(self,z=1.0,ngal=15.0*arcmin**-2,seed=0):
"""
This method generates a white, gaussian shape noise map for the given redshift of the map
:param z: single redshift of the backround sources on the map
:type z: float.
:param ngal: assumed angular number density of galaxies (must have units of angle^-2)
:type ngal: float.
:param seed: seed of the random generator
:type seed: int.
:returns: ConvergenceMap instance of the same exact shape as the one used as blueprint
"""
#Sanity check
assert (ngal.unit**-0.5).physical_type=="angle"
if self.label == "convergence":
#Compute shape noise amplitude
pixel_angular_side = self.side_angle / self.shape[0]
sigma = ((0.15 + 0.035*z) / (pixel_angular_side * np.sqrt(ngal))).decompose().value
#Generate shape noise
np.random.seed(seed)
noise_map = np.random.normal(loc=0.0,scale=sigma,size=self.shape)
#Build the ConvergenceMap object
return ConvergenceMap(noise_map,self.side_angle)
else:
raise ValueError("Only convergence implemented so far!!!")
def convergence_measure_all(filename, index, fits_loader=None):
"""
Measures all the statistical descriptors of a convergence map as indicated by the index instance
"""
logging.debug("Processing {0}".format(filename))
#Load the map
if fits_loader is not None:
conv_map = ConvergenceMap.load(filename, format=fits_loader)
else:
conv_map = ConvergenceMap.load(filename,
format=load_fits_default_convergence)
#Allocate memory for observables
descriptors = index
observables = np.zeros(descriptors.size)
#Measure descriptors as directed by input
for n in range(descriptors.num_descriptors):
if type(descriptors[n]) == PowerSpectrum:
l, observables[descriptors[n].first:descriptors[n].
last] = conv_map.powerSpectrum(
descriptors[n].l_edges)
elif type(descriptors[n]) == Moments:
observables[descriptors[n].first:descriptors[n].
last] = conv_map.moments(
connected=descriptors[n].connected)
elif type(descriptors[n]) == Peaks:
v, observables[descriptors[n].first:descriptors[n].
last] = conv_map.peakCount(
descriptors[n].thresholds,
norm=descriptors[n].norm)
elif type(descriptors[n]) == PDF:
v, observables[descriptors[n].first:descriptors[n].
last] = conv_map.pdf(descriptors[n].thresholds,
norm=descriptors[n].norm)
elif type(descriptors[n]) == MinkowskiAll:
v, V0, V1, V2 = conv_map.minkowskiFunctionals(
descriptors[n].thresholds, norm=descriptors[n].norm)
observables[descriptors[n].first:descriptors[n].last] = np.hstack(
(V0, V1, V2))
elif type(descriptors[n]) == MinkowskiSingle:
raise ValueError(
"Due to computational performance you have to measure all Minkowski functionals at once!"
)
else:
raise ValueError(
"Measurement of this descriptor not implemented!!!")
#Return
return observables