def setWeights(self):
"""
@brief sets the weights for all maps
"""
trace.issue("flipper.pcg", 3, "pcg: setting weights")
self.clearMaps()
for ts in self.datasets.values():
tod = ts
self.projectTODToMaps(tod)
for mapName in self.maps.keys():
self.weights[mapName] = numpy.array(self.maps[mapName].weight).copy()
def apply(self,ltMap):
discDiffMap = discDifference(self.radius,ltMap,\
discKern1=self.discKern1,\
discKern3=self.discKern3)
trace.issue("flipper.prewhitener",5,"Applying disc differencing with R=%f arcmin"%self.radius)
discDiffMap.data[:] += self.addBackFraction*ltMap.data[:]
if self.smoothingFWHM>0.:
trace.issue("flipper.prewhitener",5,"Smoothing with FWHM: %f arcmin"%self.smoothingFWHM)
discDiffMap = discDiffMap.convolveWithGaussian(self.smoothingFWHM)
return discDiffMap
def applyFilter(self):
"""
@brief Filter the TOD. Performs the pcg (1-C)^TN^{-1}(1-C) step.
"""
trace.issue("flipper.pcg", 2, "Filtering %s" % self.tod.name)
self.removeCorrelations(
) # don't need to repeat 1-C b/c (1-C)^T(1-C) = 1-C
if self.params['filterNoise']:
trace.issue("flipper.pcg", 3, "Noise Filtering")
self.noiseFilter()
if not (self.params['useNoiseInCorr']): self.removeCorrelations()
def applyFilter(self):
"""
@brief Filter the TOD. Performs the pcg (1-C)^TN^{-1}(1-C) step.
"""
trace.issue("flipper.pcg", 2, "Filtering %s" % self.tod.name)
self.removeCorrelations() # don't need to repeat 1-C b/c (1-C)^T(1-C) = 1-C
if self.params["filterNoise"]:
trace.issue("flipper.pcg", 3, "Noise Filtering")
self.noiseFilter()
if not (self.params["useNoiseInCorr"]):
self.removeCorrelations()
def setWeights(self):
"""
@brief sets the weights for all maps
"""
trace.issue("flipper.pcg", 3, "pcg: setting weights")
self.clearMaps()
for ts in self.datasets.values():
tod = ts
self.projectTODToMaps(tod)
for mapName in self.maps.keys():
self.weights[mapName] = numpy.array(
self.maps[mapName].weight).copy()
def generatePower(self):
#empty place-holder for final power spectrum
p2d = fftTools.powerFromLiteMap(self.map)
p2d.powerMap[:] = 0.
#Best guess power
tempMap = self.map.copy()
tempMap2 = self.map2.copy()
tempMap.data[:, :] *= self.mask.data[:, :]
tempMap2.data[:, :] *= self.mask.data[:, :]
p2dBest = fftTools.powerFromLiteMap(tempMap,
tempMap2,
applySlepianTaper=True) #00 taper
del tempMap, tempMap2
#place-holder for total weights
totWeight = numpy.zeros([self.map.Ny, self.map.Nx])
num_iter = self.Niter
if self.Niter == 0:
num_iter = 1
for k in range(num_iter):
trace.issue('mtm', 2, 'Iteration ...%02d' % k)
weights = self._getWeights(p2dBest)
p2d.powerMap[:] = 0.
totWeight[:] = 0.
for i in range(self.Ntap):
for j in range(self.Ntap):
tempMap = self.map.copy()
tempMap2 = self.map2.copy()
tempMap.data[:, :] *= self.tapers[:, :, i,
j] * self.mask.data[:, :]
tempMap2.data[:, :] *= self.tapers[:, :, i,
j] * self.mask.data[:, :]
p2dRunning = fftTools.powerFromLiteMap(tempMap, tempMap2)
p2d.powerMap[:, :] += self.eigs[
i, j] * weights[:, :, i,
j]**2 * p2dRunning.powerMap[:, :]
totWeight[:, :] += self.eigs[i, j] * weights[:, :, i, j]**2
del tempMap
del tempMap2
del p2dRunning
p2d.powerMap[:] /= totWeight[:]
p2dBest.powerMap[:] = p2d.powerMap[:] #new best guess
return p2d
def generatePower(self):
#empty place-holder for final power spectrum
p2d = fftTools.powerFromLiteMap(self.map)
p2d.powerMap[:] = 0.
#Best guess power
tempMap = self.map.copy()
tempMap2 = self.map2.copy()
tempMap.data[:,:] *= self.mask.data[:,:]
tempMap2.data[:,:] *= self.mask.data[:,:]
p2dBest = fftTools.powerFromLiteMap(tempMap,tempMap2,applySlepianTaper=True) #00 taper
del tempMap, tempMap2
#place-holder for total weights
totWeight = numpy.zeros([self.map.Ny,self.map.Nx])
num_iter = self.Niter
if self.Niter == 0:
num_iter = 1
for k in range(num_iter):
trace.issue('mtm',2,'Iteration ...%02d'%k)
weights = self._getWeights(p2dBest)
p2d.powerMap[:] = 0.
totWeight[:] = 0.
for i in range(self.Ntap):
for j in range(self.Ntap):
tempMap = self.map.copy()
tempMap2 = self.map2.copy()
tempMap.data[:,:] *= self.tapers[:,:,i,j]*self.mask.data[:,:]
tempMap2.data[:,:] *= self.tapers[:,:,i,j]*self.mask.data[:,:]
p2dRunning = fftTools.powerFromLiteMap(tempMap,tempMap2)
p2d.powerMap[:,:] += self.eigs[i,j]*weights[:,:,i,j]**2*p2dRunning.powerMap[:,:]
totWeight[:,:] += self.eigs[i,j]*weights[:,:,i,j]**2
del tempMap
del tempMap2
del p2dRunning
p2d.powerMap[:] /= totWeight[:]
p2dBest.powerMap[:] = p2d.powerMap[:] #new best guess
return p2d
def addTOD(self, tod, projDict, filter=None):
"""
@brief add a tod and associated projectors to the pcg
@param tod the TOD.TOD to add to the pcg
@param projDict a dictionary with map name keys and projector values
"""
self.ntod += 1
self.datasets[tod.name] = tod
for mn in projDict.keys():
self.proj[self._createProjKey(tod.name, mn)] = projDict[mn]
if filter != None:
self.filters[tod.name] = filter
self.filters[tod.name].applyFilter()
print "filta ", tod.name, self.filters[tod.name]
elif filter == None and self.filterClass != None:
trace.issue("flipper.pcg", 3,
"Estimating noise for %s." % tod.name)
data = tod.data.copy()
mapsZero = True
for mapName in self.getMapNamesForTOD(tod.name):
if self.x[mapName].max() > 0. or self.x[mapName].min() < 0.:
mapsZero = False
if not mapsZero:
trace.issue("flipper.pcg", 3,
"Subtracting initial maps from %s." % tod.name)
# Remove maps from data before estimating noise filters
tod.data[:] *= -1
self.loadMaps(weight=False)
self.projectMapsToTOD(tod)
tod.data[:] *= -1
#now estimate filters
self.filters[tod.name] = self.filterClass(tod, self.filterParams)
tod.data[:] = data[:]
del data
self.filters[tod.name].setTOD(tod)
self.filters[tod.name].applyFilter()
self.filters[tod.name].setTOD(None)
else:
self.filters[tod.name] = None
self.clearMaps()
self.projectTODToMaps(tod)
mapNames = self.getMapNamesForTOD(tod.name)
for mapName in mapNames:
map2numpy(self.maps[mapName], self.b[mapName], accum=True)
def addTOD(self, tod, projDict, filter=None):
"""
@brief add a tod and associated projectors to the pcg
@param tod the TOD.TOD to add to the pcg
@param projDict a dictionary with map name keys and projector values
"""
self.ntod += 1
self.datasets[tod.name] = tod
for mn in projDict.keys():
self.proj[self._createProjKey(tod.name, mn)] = projDict[mn]
if filter != None:
self.filters[tod.name] = filter
self.filters[tod.name].applyFilter()
print "filta ", tod.name, self.filters[tod.name]
elif filter == None and self.filterClass != None:
trace.issue("flipper.pcg", 3, "Estimating noise for %s." % tod.name)
data = tod.data.copy()
mapsZero = True
for mapName in self.getMapNamesForTOD(tod.name):
if self.x[mapName].max() > 0.0 or self.x[mapName].min() < 0.0:
mapsZero = False
if not mapsZero:
trace.issue("flipper.pcg", 3, "Subtracting initial maps from %s." % tod.name)
# Remove maps from data before estimating noise filters
tod.data[:] *= -1
self.loadMaps(weight=False)
self.projectMapsToTOD(tod)
tod.data[:] *= -1
# now estimate filters
self.filters[tod.name] = self.filterClass(tod, self.filterParams)
tod.data[:] = data[:]
del data
self.filters[tod.name].setTOD(tod)
self.filters[tod.name].applyFilter()
self.filters[tod.name].setTOD(None)
else:
self.filters[tod.name] = None
self.clearMaps()
self.projectTODToMaps(tod)
mapNames = self.getMapNamesForTOD(tod.name)
for mapName in mapNames:
map2numpy(self.maps[mapName], self.b[mapName], accum=True)
def testIsotropyInAnnuli(self,binningFile,cutByMask=False):
"""
@brief tests the isotropy in each annulus specfied by the binningFIle (see _testIsotropyInAnnulus)
@param binningFile An ascii file with columns binLower, binUpper, binCenter (nBins on the first line)
@param cutByMask If set to True, multiply the annulus by the k-space mask before adding pixels (see createKspaceMask).
@return binLowerBound,binUpperBound,BinCenter,BinnedValue,BinWeight
"""
binLower,binUpper,binCenter = readBinningFile(binningFile)
nBins = binLower.size
trace.issue("fftTools",0, "nBins= %d"%nBins)
binMean = numpy.zeros(nBins)
binWeight = numpy.zeros(nBins)
for i in xrange(nBins):
(binMean[i],binWeight[i]) = self._testIsotropyInAnnulus(binLower[i],binUpper[i],cutByMask=cutByMask)
return binLower,binUpper,binCenter,binMean,binWeight
def liteMapFromFits(file, extension=0):
"""
@brief Reads in a FITS file and creates a liteMap object out of it.
@param extension specify the FITS HDU where the map image is stored
"""
ltmap = liteMap()
hdulist = pyfits.open(file)
header = hdulist[extension].header
trace.issue("flipper.liteMap", 3, "Map header \n %s" % header)
ltmap.data = hdulist[extension].data.copy()
[ltmap.Ny, ltmap.Nx] = ltmap.data.shape
wcs = astWCS.WCS(file, extensionName=extension)
ltmap.wcs = wcs.copy()
ltmap.header = ltmap.wcs.header
ltmap.x0, ltmap.y0 = wcs.pix2wcs(0, 0)
ltmap.x1, ltmap.y1 = wcs.pix2wcs(ltmap.Nx - 1, ltmap.Ny - 1)
# [ltmap.x0,ltmap.x1,ltmap.y0,ltmap.y1] = wcs.getImageMinMaxWCSCoords()
if ltmap.x0 > ltmap.x1:
ltmap.pixScaleX = (
numpy.abs(ltmap.x1 - ltmap.x0)
/ ltmap.Nx
* numpy.pi
/ 180.0
* numpy.cos(numpy.pi / 180.0 * 0.5 * (ltmap.y0 + ltmap.y1))
)
else:
ltmap.pixScaleX = (
numpy.abs((360.0 - ltmap.x1) + ltmap.x0)
/ ltmap.Nx
* numpy.pi
/ 180.0
* numpy.cos(numpy.pi / 180.0 * 0.5 * (ltmap.y0 + ltmap.y1))
)
ltmap.pixScaleY = numpy.abs(ltmap.y1 - ltmap.y0) / ltmap.Ny * numpy.pi / 180.0
# print 0.5*(ltmap.y0+ltmap.y1)
ltmap.area = ltmap.Nx * ltmap.Ny * ltmap.pixScaleX * ltmap.pixScaleY * (180.0 / numpy.pi) ** 2
# print numpy.cos(numpy.pi/180.*0.5*(ltmap.y0+ltmap.y1))
trace.issue("flipper.liteMap", 1, "Reading file %s" % file)
trace.issue("flipper.liteMap", 1, "Map dimensions (Ny,Nx) %d %d" % (ltmap.Ny, ltmap.Nx))
trace.issue(
"flipper.liteMap",
1,
"pixel scales Y, X (degrees) %f %f" % (ltmap.pixScaleY * 180.0 / numpy.pi, ltmap.pixScaleX * 180.0 / numpy.pi),
)
return ltmap
def liteMapFromDataAndWCS(data, wcs):
"""
@brief Given a numpy array: data and a astLib.astWCS instance: wcs creates a liteMap
"""
ltmap = liteMap()
ltmap.data = data.copy()
[ltmap.Ny, ltmap.Nx] = ltmap.data.shape
ltmap.wcs = wcs.copy()
ltmap.header = ltmap.wcs.header
# [ltmap.x0,ltmap.x1,ltmap.y0,ltmap.y1] = wcs.getImageMinMaxWCSCoords()
ltmap.x0, ltmap.y0 = wcs.pix2wcs(0, 0)
ltmap.x1, ltmap.y1 = wcs.pix2wcs(ltmap.Nx - 1, ltmap.Ny - 1)
if ltmap.x0 > ltmap.x1:
ltmap.pixScaleX = (
numpy.abs(ltmap.x1 - ltmap.x0)
/ ltmap.Nx
* numpy.pi
/ 180.0
* numpy.cos(numpy.pi / 180.0 * 0.5 * (ltmap.y0 + ltmap.y1))
)
else:
ltmap.pixScaleX = (
numpy.abs((360.0 - ltmap.x1) + ltmap.x0)
/ ltmap.Nx
* numpy.pi
/ 180.0
* numpy.cos(numpy.pi / 180.0 * 0.5 * (ltmap.y0 + ltmap.y1))
)
ltmap.pixScaleY = numpy.abs(ltmap.y1 - ltmap.y0) / ltmap.Ny * numpy.pi / 180.0
# print 0.5*(ltmap.y0+ltmap.y1)
ltmap.area = ltmap.Nx * ltmap.Ny * ltmap.pixScaleX * ltmap.pixScaleY * (180.0 / numpy.pi) ** 2
# print numpy.cos(numpy.pi/180.*0.5*(ltmap.y0+ltmap.y1))
trace.issue("flipper.liteMap", 1, "Reading file %s" % file)
trace.issue("flipper.liteMap", 1, "Map dimensions (Ny,Nx) %d %d" % (ltmap.Ny, ltmap.Nx))
trace.issue(
"flipper.liteMap",
1,
"pixel scales Y, X (degrees) %f %f" % (ltmap.pixScaleY * 180.0 / numpy.pi, ltmap.pixScaleX * 180.0 / numpy.pi),
)
return ltmap
def setup(self):
"""
@brief initialize all PCG vectors and preconditioners
Execute after you've added your maps and tods.
"""
# Compute weight maps and
self.setWeights()
# If we're on a cluster, accumulate the b map
if self.doMPI:
trace.issue("flipper.pcg", 3, "pcg: Reducing b and weights")
for mapName in self.maps.keys():
mbMPI.reduceArray(self.b[mapName], self.root)
mbMPI.reduceArray(self.weights[mapName], self.root)
if self.root == MPI.WORLD.rank:
self.maps[mapName].weight[:][:] = self.weights[mapName][:][:]
# setup and apply preconditioners
if not self.doMPI or self.root == MPI.WORLD.rank:
trace.issue("flipper.pcg", 3, "pcg: masking initial maps with the weight maps")
for mapName in self.maps.keys():
self.x[mapName][numpy.where(self.weights[mapName] == 0)] = 0.0
self.loadMaps()
trace.issue("flipper.pcg", 3, "pcg: setting up preconditioners.")
for mapName in self.maps.keys():
if self.pcParams[mapName] != None:
self.preconditioners[mapName] = preconditioner.preconditionerList()
for pcDict in self.pcParams[mapName]:
try:
self.preconditioners[mapName].append(
apply(eval(pcDict["func"]), [self.maps[mapName]], pcDict["keywords"])
)
except:
trace.issue("flipper.pcg", 0, "pcg: Invalid preconditioner specification for %s" % mapName)
raise
trace.issue("flipper.pcg", 3, "pcg: Applying preconditioners to b.")
for mapName in self.maps.keys():
if self.preconditioners[mapName] != None:
self.preconditioners[mapName].applyPreconditioner(self.b[mapName])
# setup priors
if not self.doMPI or self.root == MPI.WORLD.rank:
trace.issue("flipper.pcg", 3, "pcg: Creating map priors")
for mapName in self.maps.keys():
if self.priorParams[mapName] != None:
self.priors[mapName] = prior.priorList()
for priorDict in self.priorParams[mapName]:
try:
self.priors[mapName].append(
apply(eval(priorDict["class"]), [self.maps[mapName]], pcDict["keywords"])
)
except:
trace.issue("flipper.pcg", 0, "pcg: Invalid prior specification for %s" % mapName)
raise
# get Ax (stor in q)
trace.issue("flipper.pcg", 3, "pcg: Applying inverse covariance to initial map")
computeAx = False
for mapVector in self.x.values():
if mapVector.max() != 0.0 or mapVector.min() != 0.0:
computeAx = True
if computeAx:
self.applyInverseCovariance(self.x, self.q)
else:
trace.issue("flipper.pcg", 3, "All initial maps are 0.: not computing M^TN^{-1}Mx_0.")
if self.doMPI:
mbMPI.reduceArray(self.q[mapName], self.root)
if not self.doMPI or self.root == MPI.WORLD.rank:
for mapName in self.maps.keys():
if self.preconditioners[mapName] != None: # Q M^T N^-1 M x + Q K^-1 x
if self.q[mapName].max() != 0 or self.q[mapName].min() != 0.0:
self.preconditioners[mapName].applyPreconditioner(self.q[mapName])
for mapName in self.maps.keys():
self.r[mapName] = self.b[mapName] - self.q[mapName]
self.p[mapName] = self.r[mapName].copy()
if self.doMPI:
for mapName in self.maps.keys():
mbMPI.broadcastArray(self.p[mapName], self.root)
def addLiteMapsWithSpectralWeighting(liteMap1, liteMap2, kMask1Params=None, kMask2Params=None, signalMap=None):
"""
@brief add two maps, weighting in Fourier space
Maps must be the same size.
@param kMask1Params mask params for liteMap1 (see fftTools.power2D.createKspaceMask)
@param kMask2Params mask params for liteMap2 (see fftTools.power2D.createKspaceMask)
@param signalMap liteMap with best estimate of signal to use when estimating noise weighting
@return new map
"""
# Get fourier weights
trace.issue("liteMap", 0, "Computing Weights")
# np1 = fftTools.noisePowerFromLiteMaps(liteMap1, liteMap2, applySlepianTaper = False)
# np2 = fftTools.noisePowerFromLiteMaps(liteMap2, liteMap1, applySlepianTaper = False)
data1 = copy.copy(liteMap1.data)
data2 = copy.copy(liteMap2.data)
if signalMap != None:
liteMap1.data[:] = (liteMap1.data - signalMap.data)[:]
liteMap2.data[:] = (liteMap2.data - signalMap.data)[:]
np1 = fftTools.powerFromLiteMap(liteMap1) # , applySlepianTaper = True)
np2 = fftTools.powerFromLiteMap(liteMap2) # ), applySlepianTaper = True)
print "testing", liteMap1.data == data1
liteMap1.data[:] = data1[:]
liteMap2.data[:] = data2[:]
n1 = np1.powerMap
n2 = np2.powerMap
# n1[numpy.where( n1<n1.max()*.002)] = n1.max()*.001
# n2[numpy.where( n2<n2.max()*.002)] = n2.max()*.001
w1 = 1 / n1
w2 = 1 / n2
m1 = numpy.median(w1)
m2 = numpy.median(w2)
w1[numpy.where(abs(w1) > 4 * m1)] = 4 * m1
w2[numpy.where(abs(w2) > 4 * m2)] = 4 * m2
# w1[:] = 1.
# w2[:] = 1.
# pylab.hist(w1.ravel())
# pylab.savefig("hist1.png")
# pylab.clf()
yrange = [4, 5000]
np1.powerMap = w1
# np1.plot(pngFile="w1.png", log=True, zoomUptoL=8000, yrange = yrange)
np2.powerMap = w2
# np2.plot(pngFile="w2.png", log=True, zoomUptoL=8000, yrange = yrange)
if kMask1Params != None:
np1.createKspaceMask(**kMask1Params)
w1 *= np1.kMask
if kMask2Params != None:
np2.createKspaceMask(**kMask2Params)
w2 *= np2.kMask
pylab.clf()
invW = 1.0 / (w1 + w2)
invW[numpy.where(numpy.isnan(invW))] = 0.0
invW[numpy.where(numpy.isinf(invW))] = 0.0
trace.issue("liteMap", 3, "NaNs in inverse weight: %s" % str(numpy.where(numpy.isnan(invW))))
trace.issue("liteMap", 3, "Infs in inverse weight: %s" % str(numpy.where(numpy.isinf(invW))))
trace.issue("liteMap", 2, "Adding Maps")
f1 = fftTools.fftFromLiteMap(liteMap1, applySlepianTaper=False)
f2 = fftTools.fftFromLiteMap(liteMap2, applySlepianTaper=False)
kTot = (f1.kMap * w1 + f2.kMap * w2) * invW
trace.issue("liteMap", 3, "NaNs in filtered transform: %s" % str(numpy.where(numpy.isnan(kTot))))
f1.kMap = kTot
finalMap = liteMap1.copy()
finalMap.data[:] = 0.0
finalMap.data = f1.mapFromFFT()
return finalMap
def setup(self):
"""
@brief initialize all PCG vectors and preconditioners
Execute after you've added your maps and tods.
"""
# Compute weight maps and
self.setWeights()
# If we're on a cluster, accumulate the b map
if self.doMPI:
trace.issue("flipper.pcg", 3, "pcg: Reducing b and weights")
for mapName in self.maps.keys():
mbMPI.reduceArray(self.b[mapName], self.root)
mbMPI.reduceArray(self.weights[mapName], self.root)
if self.root == MPI.WORLD.rank:
self.maps[mapName].weight[:][:] = self.weights[
mapName][:][:]
# setup and apply preconditioners
if not self.doMPI or self.root == MPI.WORLD.rank:
trace.issue("flipper.pcg", 3,
"pcg: masking initial maps with the weight maps")
for mapName in self.maps.keys():
self.x[mapName][numpy.where(self.weights[mapName] == 0)] = 0.
self.loadMaps()
trace.issue("flipper.pcg", 3, "pcg: setting up preconditioners.")
for mapName in self.maps.keys():
if self.pcParams[mapName] != None:
self.preconditioners[
mapName] = preconditioner.preconditionerList()
for pcDict in self.pcParams[mapName]:
try:
self.preconditioners[mapName].append( apply(eval(pcDict['func']), \
[self.maps[mapName]] , pcDict['keywords']) )
except:
trace.issue("flipper.pcg", 0, "pcg: Invalid preconditioner specification for %s" %\
mapName)
raise
trace.issue("flipper.pcg", 3,
"pcg: Applying preconditioners to b.")
for mapName in self.maps.keys():
if self.preconditioners[mapName] != None:
self.preconditioners[mapName].applyPreconditioner(
self.b[mapName])
# setup priors
if not self.doMPI or self.root == MPI.WORLD.rank:
trace.issue("flipper.pcg", 3, "pcg: Creating map priors")
for mapName in self.maps.keys():
if self.priorParams[mapName] != None:
self.priors[mapName] = prior.priorList()
for priorDict in self.priorParams[mapName]:
try:
self.priors[mapName].append( apply(eval(priorDict['class']), \
[self.maps[mapName]] , pcDict['keywords']) )
except:
trace.issue("flipper.pcg", 0, "pcg: Invalid prior specification for %s" %\
mapName)
raise
# get Ax (stor in q)
trace.issue("flipper.pcg", 3,
"pcg: Applying inverse covariance to initial map")
computeAx = False
for mapVector in self.x.values():
if mapVector.max() != 0. or mapVector.min() != 0.:
computeAx = True
if computeAx:
self.applyInverseCovariance(self.x, self.q)
else:
trace.issue(
"flipper.pcg", 3,
"All initial maps are 0.: not computing M^TN^{-1}Mx_0.")
if self.doMPI:
mbMPI.reduceArray(self.q[mapName], self.root)
if not self.doMPI or self.root == MPI.WORLD.rank:
for mapName in self.maps.keys():
if self.preconditioners[
mapName] != None: # Q M^T N^-1 M x + Q K^-1 x
if self.q[mapName].max() != 0 or self.q[mapName].min(
) != 0.:
self.preconditioners[mapName].applyPreconditioner(
self.q[mapName])
for mapName in self.maps.keys():
self.r[mapName] = self.b[mapName] - self.q[mapName]
self.p[mapName] = self.r[mapName].copy()
if self.doMPI:
for mapName in self.maps.keys():
mbMPI.broadcastArray(self.p[mapName], self.root)
def loadDataFromHealpixMap(self, hpm, interpolate=False, hpCoords="J2000"):
"""
@brief copy data from a Healpix map (from healpy), return a lite map
@param hpm healpy map
@param interpolate use interpolation when copying
@param hpCoords coordinates of hpm (e.g., "J2000"(RA, Dec) or "GALACTIC")
Assumes that liteMap is in J2000 RA Dec. The Healpix map must contain the liteMap.
"""
inds = numpy.indices([self.Nx, self.Ny])
x = inds[0].ravel()
y = inds[1].ravel()
skyLinear = numpy.array(self.pixToSky(x, y))
ph = skyLinear[:, 0]
th = skyLinear[:, 1]
thOut = []
phOut = []
if hpCoords != "J2000":
for i in xrange(len(th)):
crd = astCoords.convertCoords("J2000", hpCoords, ph[i], th[i], 0.0)
phOut.append(crd[0])
thOut.append(crd[1])
thOut = numpy.array(thOut)
phOut = numpy.array(phOut)
else:
thOut = th
phOut = ph
trace.issue("flipper.liteMap", 3, "theta (min, max): %f, %f" % (th.min(), th.max()))
trace.issue("flipper.liteMap", 3, "phi (min, max): %f, %f" % (ph.min(), ph.max()))
trace.issue("flipper.liteMap", 3, "phiOut (min, max): (%f, %f) " % (phOut.min(), phOut.max()))
trace.issue("flipper.liteMap", 3, "thetaOut (min, max): (%f, %f) " % (thOut.min(), thOut.max()))
phOut *= numpy.pi / 180
thOut = 90.0 - thOut # polar angle is 0 at north pole
thOut *= numpy.pi / 180
trace.issue("flipper.liteMap", 3, "phiOut rad (min, max): (%f, %f) " % (phOut.min(), phOut.max()))
trace.issue("flipper.liteMap", 3, "thetaOut rad (min, max): (%f, %f) " % (thOut.min(), thOut.max()))
if interpolate:
self.data[y, x] = healpy.get_interp_val(hpm, thOut, phOut)
else:
ind = healpy.ang2pix(healpy.get_nside(hpm), thOut, phOut)
trace.issue("flipper.liteMap", 3, "healpix indices (min,max): %d, %d" % (ind.min(), ind.max()))
self.data[:] = 0.0
self.data[[y, x]] = hpm[ind]
def fftFromLiteMap(liteMap, applySlepianTaper=False, nresForSlepian=3.0, threads=1):
"""
Create an fft2D object from a liteMap.
Parameters
----------
liteMap : liteMap.liteMap
The map object whose fft is being taken.
applySlepianTaper : bool, optional
If ``True``, apply the lowest order taper (to minimize edge-leakage).
Default is ``False``.
nresForSlepian : float, optional
If ``applySlepianTaper`` = ``True``, this specifies the resolution of
the taper to use. Default is 3.0.
threads : int, optional
Number of threads to use in pyFFTW calculations. Default is 1.
Returns
-------
ft : fftTools.fft2D
The fft2D object corresponding the input liteMap.
"""
ft = fft2D()
ft.Nx = liteMap.Nx
ft.Ny = liteMap.Ny
trace.issue("flipper.fftTools", 1, "Taking FFT of map with (Ny, Nx)= (%f, %f)" %(ft.Ny,ft.Nx))
ft.pixScaleX = liteMap.pixScaleX
ft.pixScaleY = liteMap.pixScaleY
lx = 2*numpy.pi*fftfreq(ft.Nx, d=ft.pixScaleX)
ly = 2*numpy.pi*fftfreq(ft.Ny, d=ft.pixScaleY)
ix = numpy.mod(numpy.arange(ft.Nx*ft.Ny), ft.Nx)
iy = numpy.arange(ft.Nx*ft.Ny)/ft.Nx
modLMap = numpy.zeros([ft.Ny, ft.Nx])
modLMap[iy,ix] = numpy.sqrt(lx[ix]**2 + ly[iy]**2)
ft.modLMap = modLMap
ft.lx = lx
ft.ly = ly
ft.ix = ix
ft.iy = iy
ft.thetaMap = numpy.zeros([ft.Ny, ft.Nx])
ft.thetaMap[iy[:], ix[:]] = numpy.arctan2(ly[iy[:]], lx[ix[:]])
ft.thetaMap *= 180./numpy.pi
mp = liteMap.data.copy()
taper = mp.copy()*0. + 1.0
if (applySlepianTaper):
try:
f = open(taperDir + os.path.sep + 'taper_Ny%d_Nx%d_Nres%3.1f' %(ft.Ny, ft.Nx, nresForSlepian))
taper = pickle.load(f)
f.close()
except:
taper = slepianTaper00(ft.Nx, ft.Ny,nresForSlepian)
f = open(taperDir + os.path.sep + 'taper_Ny%d_Nx%d_Nres%3.1f'%(ft.Ny, ft.Nx, nresForSlepian), mode="w")
pickle.dump(taper,f)
f.close()
if have_pyFFTW:
ft.kMap = fft2(mp*taper, threads=threads)
else:
ft.kMap = fft2(mp*taper)
del mp, modLMap, lx, ly
return ft