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LindzFit_J0901_xyFit.py
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LindzFit_J0901_xyFit.py
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import cPickle,numpy,pyfits as py
import pymc
from pylens import *
from imageSim import SBModels,convolve
import indexTricks as iT
from SampleOpt import AMAOpt
import pylab as pl
import numpy as np
import myEmcee_blobs as myEmcee
#import myEmcee
from matplotlib.colors import LogNorm
from scipy import optimize
from scipy.interpolate import RectBivariateSpline
# likelihood seems even slower to increase than before. Debug this at some point - it should work?
X = 'xytest'
print X
# plot things
def NotPlicely(image,im,sigma):
ext = [0,image.shape[0],0,image.shape[1]]
#vmin,vmax = numpy.amin(image), numpy.amax(image)
pl.figure()
pl.subplot(221)
pl.imshow(image,origin='lower',interpolation='nearest',extent=ext,cmap='afmhot',aspect='auto',vmin=0) #,vmin=vmin,vmax=vmax)
pl.colorbar()
pl.title('data')
pl.subplot(222)
pl.imshow(im,origin='lower',interpolation='nearest',extent=ext,cmap='afmhot',aspect='auto',vmin=0) #,vmin=vmin,vmax=vmax)
pl.colorbar()
pl.title('model')
pl.subplot(223)
pl.imshow(image-im,origin='lower',interpolation='nearest',extent=ext,vmin=-0.25,vmax=0.25,cmap='afmhot',aspect='auto')
pl.colorbar()
pl.title('data-model')
pl.subplot(224)
pl.imshow((image-im)/sigma,origin='lower',interpolation='nearest',extent=ext,vmin=-5,vmax=5,cmap='afmhot',aspect='auto')
pl.title('signal-to-noise residuals')
pl.colorbar()
#pl.suptitle(str(V))
#pl.savefig('/data/ljo31/Lens/TeXstuff/plotrun'+str(X)+'.png')
img1 = py.open('/data/ljo31/Lens/J0901/F606W_sci_cutout.fits')[0].data.copy()
sig1 = py.open('/data/ljo31/Lens/J0901/F606W_noisemap.fits')[0].data.copy()
psf1 = py.open('/data/ljo31/Lens/J0901/F606W_psf2.fits')[0].data.copy()
psf1 = psf1[5:-6,5:-6]
psf1 = psf1/np.sum(psf1)
img2 = py.open('/data/ljo31/Lens/J0901/F814W_sci_cutout.fits')[0].data.copy()
sig2 = py.open('/data/ljo31/Lens/J0901/F814W_noisemap.fits')[0].data.copy()
psf2 = py.open('/data/ljo31/Lens/J0901/F814W_psf2.fits')[0].data.copy()
psf2 = psf2[4:-6,3:-6]
psf2 = psf2/np.sum(psf2)
## identify pixels of interest- can just do this from one lensed image I think, as they should all end up in the same place.
px1,py1 = 28, 30 # pixel indices of brightest peak
px2,py2 = 52,40 # upper SB peak # or could make this more sohpisticated by subtracting galaxy model and detecting brightest pixels left over!
guiFile = '/data/ljo31/Lens/J0901/gui38_7'
print guiFile
imgs = [img1,img2]
sigs = [sig1,sig2]
psfs = [psf1,psf2]
PSFs = []
OVRS = 3
yc,xc = iT.overSample(img1.shape,OVRS)
yo,xo = iT.overSample(img1.shape,1)
#mask = np.ones(img1.shape)
mask = py.open('/data/ljo31/Lens/J0901/mask.fits')[0].data.copy()
tck = RectBivariateSpline(xo[0],yo[:,0],mask)
mask2 = tck.ev(xc,yc)
mask2[mask2<0.5] = 0
mask2[mask2>0.5] = 1
mask2 = mask2.T
mask2 = mask2==1
mask = mask==1
xpeak,ypeak,imgpeak = np.load('/data/ljo31/Lens/J0901/peakpixels.npy').T
for i in range(len(imgs)):
psf = psfs[i]
image = imgs[i]
psf /= psf.sum()
psf = convolve.convolve(image,psf)[1]
PSFs.append(psf)
G,L,S,offsets,shear = numpy.load(guiFile)
pars = []
cov = []
### first parameters need to be the offsets
xoffset = offsets[0][3]
yoffset = offsets[1][3]
pars.append(pymc.Uniform('xoffset',-5.,5.,value=xoffset))
pars.append(pymc.Uniform('yoffset',-5.,5.,value=yoffset))
cov += [0.4,0.4]
gals = []
for name in G.keys():
s = G[name]
p = {}
if name == 'Galaxy 1':
for key in 'x','y','q','pa','re','n':
lo,hi,val = s[key]['lower'],s[key]['upper'],s[key]['value']
pars.append(pymc.Uniform('%s %s'%(name,key),lo,hi,value=val))
p[key] = pars[-1]
cov.append(s[key]['sdev']*10)
elif name == 'Galaxy 2':
for key in 'x','y','q','pa','re','n':
if s[key]['type']=='constant':
p[key] = s[key]['value']
else:
lo,hi,val = s[key]['lower'],s[key]['upper'],s[key]['value']
if key == 're':
pars.append(pymc.Uniform('%s %s'%(name,key),lo,hi,value=val))
else:
pars.append(pymc.Uniform('%s %s'%(name,key),lo,hi,value=val))
p[key] = pars[-1]
cov.append(s[key]['sdev']*1)
#for key in 'x','y':
# p[key] = gals[0].pars[key]
gals.append(SBModels.Sersic(name,p))
lenses = []
for name in L.keys():
s = L[name]
p = {}
for key in 'x','y','q','pa','b','eta':
lo,hi,val = s[key]['lower'],s[key]['upper'],s[key]['value']
pars.append(pymc.Uniform('%s %s'%(name,key),lo,hi,value=val))
cov.append(s[key]['sdev']*1)
p[key] = pars[-1]
lenses.append(MassModels.PowerLaw(name,p))
p = {}
p['x'] = lenses[0].pars['x']
p['y'] = lenses[0].pars['y']
pars.append(pymc.Uniform('extShear',-0.3,0.3,value=shear[0]['b']['value']))
cov.append(1)
p['b'] = pars[-1]
pars.append(pymc.Uniform('extShear PA',-180.,180,value=shear[0]['pa']['value']))
cov.append(100.)
p['pa'] = pars[-1]
lenses.append(MassModels.ExtShear('shear',p))
xind,yind,imgind = np.load('/data/ljo31/Lens/J0901/peakpixels.npy').T
xll,yll = pylens.getDeflections(lenses,[xind,yind])
xpeak = np.sum(xll*imgind)/np.sum(imgind)
ypeak = np.sum(yll*imgind)/np.sum(imgind)
l = {'x':xpeak, 'y':ypeak}
dics = []
srcs = []
for name in S.keys():
s = S[name]
p = {}
if name == 'Source 2':
print name
for key in 'q','re','n','pa':
lo,hi,val = s[key]['lower'],s[key]['upper'],s[key]['value']
pars.append(pymc.Uniform('%s %s'%(name,key),lo,hi,value=val))
p[key] = pars[-1]
if key == 'pa':
cov.append(s[key]['sdev']*100)
elif key == 're':
cov.append(s[key]['sdev']*10)
else:
cov.append(s[key]['sdev']*10)
for key in 'x','y': # subtract lens potition - to be added back on later in each likelihood iteration!
lo,hi,val = s[key]['lower'],s[key]['upper'],s[key]['value']
#print key, '= ', val
lo,hi = lo - l[key], hi - l[key]
val = val - l[key]
pars.append(pymc.Uniform('%s %s'%(name,key),lo-1 ,hi+1,value=val )) # the parameter is the offset between the source centre and peak source brightness pixel position in the source plane...!
p[key] = pars[-1] # the unsubtracted value - this is what we want to keep in the dictionary
print 'here',p[key]
cov.append(s[key]['sdev'])
elif name == 'Source 1':
print name
for key in 'q','re','n','pa':
lo,hi,val = s[key]['lower'],s[key]['upper'],s[key]['value']
pars.append(pymc.Uniform('%s %s'%(name,key),lo,hi,value=val))
p[key] = pars[-1]
if key == 'pa':
cov.append(s[key]['sdev']*100)
else:
cov.append(s[key]['sdev']*10)
for key in 'x','y':
p[key] = srcs[0].pars[key]
dics.append(p)
srcs.append(SBModels.Sersic(name,p))
print srcs[0].pars['x'].value
npars = []
for i in range(len(npars)):
pars[i].value = npars[i]
@pymc.deterministic
def logP(value=0.,p=pars):
# read in sources - I don't think this is the best way, but...
xll,yll = pylens.getDeflections(lenses,[xind,yind])
xpeak = np.sum(xll*imgind)/np.sum(imgind)
ypeak = np.sum(yll*imgind)/np.sum(imgind)
#print 'xpeak,ypeak',xpeak, ypeak
if len(srcs)==2:
srcs[0] = SBModels.Sersic('Source 2',{'x':dics[0]['x']+xpeak,'y':dics[0]['y']+ypeak,'pa':dics[0]['pa'],'q':dics[0]['q'],'re':dics[0]['re'],'n':dics[0]['n']})
srcs[1] = SBModels.Sersic('Source 1',{'x':dics[0]['x']+xpeak,'y':dics[0]['y']+ypeak,'pa':dics[1]['pa'],'q':dics[1]['q'],'re':dics[1]['re'],'n':dics[1]['n']})
else:
srcs[0] = SBModels.Sersic('Source 1',{'x':dics[0]['x']+xpeak,'y':dics[0]['y']+ypeak,'pa':dics[0]['pa'],'q':dics[0]['q'],'re':dics[0]['re'],'n':dics[0]['n']})
lp = 0.
models = []
for i in range(len(imgs)):
if i == 0:
dx,dy = 0,0
else:
dx = pars[0].value
dy = pars[1].value
xp,yp = xc+dx,yc+dy
image = imgs[i]
sigma = sigs[i]
psf = PSFs[i]
imin,sigin,xin,yin = image[mask], sigma[mask],xp[mask2],yp[mask2]
n = 0
model = np.empty(((len(gals) + len(srcs)),imin.size))
for gal in gals:
gal.setPars()
tmp = xc*0.
tmp[mask2] = gal.pixeval(xin,yin,1./OVRS,csub=1) # evaulate on the oversampled grid. OVRS = number of new pixels per old pixel.
tmp = iT.resamp(tmp,OVRS,True) # convert it back to original size
tmp = convolve.convolve(tmp,psf,False)[0]
model[n] = tmp[mask].ravel()
n +=1
for lens in lenses:
lens.setPars()
x0,y0 = pylens.lens_images(lenses,srcs,[xin,yin],1./OVRS,getPix=True)
for src in srcs:
src.setPars()
tmp = xc*0.
tmp[mask2] = src.pixeval(x0,y0,1./OVRS,csub=1)
tmp = iT.resamp(tmp,OVRS,True)
tmp = convolve.convolve(tmp,psf,False)[0]
model[n] = tmp[mask].ravel()
n +=1
rhs = (imin/sigin) # data
op = (model/sigin).T # model matrix
fit, chi = optimize.nnls(op,rhs)
model = (model.T*fit).sum(1)
resid = (model-imin)/sigin
lp += -0.5*(resid**2.).sum()
models.append(model)
return lp #,models
@pymc.observed
def likelihood(value=0.,lp=logP):
return lp #[0]
def resid(p):
lp = -2*logP.value
return self.imgs[0].ravel()*0 + lp
optCov = None
if optCov is None:
optCov = numpy.array(cov)
print len(cov), len(pars)
S = myEmcee.PTEmcee(pars+[likelihood],cov=optCov,nthreads=5,nwalkers=80,ntemps=4)
S.sample(1000)
outFile = '/data/ljo31/Lens/J0901/emcee'+str(X)
f = open(outFile,'wb')
cPickle.dump(S.result(),f,2)
f.close()
result = S.result()
lp = result[0]
trace = numpy.array(result[1])
a1,a2,a3 = numpy.unravel_index(lp.argmax(),lp.shape)
for i in range(len(pars)):
pars[i].value = trace[a1,a2,a3,i]
print "%18s %8.3f"%(pars[i].__name__,pars[i].value)
jj=0
for jj in range(12):
S = myEmcee.PTEmcee(pars+[likelihood],cov=optCov,nthreads=5,nwalkers=80,ntemps=4,initialPars=trace[a1])
S.sample(1000)
outFile = '/data/ljo31/Lens/J0901/emcee'+str(X)
f = open(outFile,'wb')
cPickle.dump(S.result(),f,2)
f.close()
result = S.result()
lp = result[0]
trace = numpy.array(result[1])
a1,a2,a3 = numpy.unravel_index(lp.argmax(),lp.shape)
for i in range(len(pars)):
pars[i].value = trace[a1,a2,a3,i]
print jj
jj+=1
## now we need to interpret these resultaeten
logp,coeffs,dic,vals = result
ii = np.where(logp==np.amax(logp))
#coeff = coeffs[ii][0]
colours = ['F555W', 'F814W']
#mods = S.blobs
models = []
for i in range(len(imgs)):
#mod = mods[i]
#models.append(mod[a1,a2,a3])
if i == 0:
dx,dy = 0,0
else:
dx = pars[0].value
dy = pars[1].value
xp,yp = xc+dx,yc+dy
xop,yop = xo+dy,yo+dy
image = imgs[i]
sigma = sigs[i]
psf = PSFs[i]
imin,sigin,xin,yin = image.flatten(), sigma.flatten(),xp.flatten(),yp.flatten()
n = 0
model = np.empty(((len(gals) + len(srcs)),imin.size))
for gal in gals:
gal.setPars()
tmp = xc*0.
tmp = gal.pixeval(xp,yp,1./OVRS,csub=1) # evaulate on the oversampled grid. OVRS = number of new pixels per old pixel.
tmp = iT.resamp(tmp,OVRS,True) # convert it back to original size
tmp = convolve.convolve(tmp,psf,False)[0]
model[n] = tmp.ravel()
n +=1
for lens in lenses:
lens.setPars()
x0,y0 = pylens.lens_images(lenses,srcs,[xp,yp],1./OVRS,getPix=True)
for src in srcs:
src.setPars()
tmp = xc*0.
tmp = src.pixeval(x0,y0,1./OVRS,csub=1)
tmp = iT.resamp(tmp,OVRS,True)
tmp = convolve.convolve(tmp,psf,False)[0]
model[n] = tmp.ravel()
n +=1
rhs = (imin/sigin) # data
op = (model/sigin).T # model matrix
fit, chi = optimize.nnls(op,rhs)
components = (model.T*fit).T.reshape((n,image.shape[0],image.shape[1]))
model = components.sum(0)
models.append(model)
NotPlicely(image,model,sigma)
pl.suptitle(str(colours[i]))
pl.show()
pl.figure()
for i in range(4):
pl.plot(lp[:,i,:])
pl.show()