Commit a213c18f authored by Martin Reinecke's avatar Martin Reinecke
Browse files

reintroduce visual comparison in demo

parent 289b91f5
......@@ -4,7 +4,7 @@ import pysharp
import time
import matplotlib.pyplot as plt
np.random.seed(2099)
np.random.seed(48)
def nalm(lmax, mmax):
return ((mmax+1)*(mmax+2))//2 + (mmax+1)*(lmax-mmax)
......@@ -17,6 +17,7 @@ def random_alm(lmax, mmax):
res[0:lmax+1].imag = 0.
return res
def compress_alm(alm,lmax):
res = np.empty(2*len(alm)-lmax-1, dtype=np.float64)
res[0:lmax+1] = alm[0:lmax+1].real
......@@ -24,10 +25,21 @@ def compress_alm(alm,lmax):
res[lmax+2::2] = np.sqrt(2)*alm[lmax+1:].imag
return res
def myalmdot(a1,a2,lmax,mmax,spin):
return np.vdot(compress_alm(a1,lmax),compress_alm(np.conj(a2),lmax))
lmax=30
def convolve(alm1, alm2, lmax):
job = pysharp.sharpjob_d()
job.set_triangular_alm_info(lmax, lmax)
job.set_gauss_geometry(lmax+1, 2*lmax+1)
map = job.alm2map(alm1)*job.alm2map(alm2)
job.set_triangular_alm_info(0,0)
return job.map2alm(map)[0]*np.sqrt(4*np.pi)
lmax=60
kmax=13
......@@ -37,6 +49,44 @@ slmT = random_alm(lmax, lmax)
# build beam a_lm
blmT = random_alm(lmax, kmax)
t0=time.time()
# build interpolator object for slmT and blmT
foo = interpol_ng.PyInterpolator(slmT,blmT,lmax, kmax, epsilon=1e-6, nthreads=2)
print("setup time: ",time.time()-t0)
nth = lmax+1
nph = 2*lmax+1
# compute a convolved map at a fixed psi and compare it to a map convolved
# "by hand"
ptg = np.zeros((nth,nph,3))
ptg[:,:,0] = (np.pi*(0.5+np.arange(nth))/nth).reshape((-1,1))
ptg[:,:,1] = (2*np.pi*(0.5+np.arange(nph))/nph).reshape((1,-1))
ptg[:,:,2] = np.pi*0.2
t0=time.time()
# do the actual interpolation
bar=foo.interpol(ptg.reshape((-1,3))).reshape((nth,nph))
print("interpolation time: ", time.time()-t0)
plt.subplot(2,2,1)
plt.imshow(bar.reshape((nth,nph)))
bar2 = np.zeros((nth,nph))
blmTfull = np.zeros(slmT.size)+0j
blmTfull[0:blmT.size] = blmT
for ith in range(nth):
rbeamth=interpol_ng.rotate_alm(blmTfull, lmax, ptg[ith,0,2],ptg[ith,0,0],0)
for iph in range(nph):
rbeam=interpol_ng.rotate_alm(rbeamth, lmax, 0, 0, ptg[ith,iph,1])
bar2[ith,iph] = convolve(slmT, rbeam, lmax).real
plt.subplot(2,2,2)
plt.imshow(bar2)
plt.subplot(2,2,3)
plt.imshow((bar2-bar.reshape((nth,nph))))
plt.show()
ptg=np.random.uniform(0.,1.,3*1000000).reshape(1000000,3)
ptg[:,0]*=np.pi
ptg[:,1]*=2*np.pi
......
import interpol_ng
import numpy as np
import pypocketfft as ppf
import matplotlib.pyplot as plt
import pysharp
np.random.seed(42)
lmax=1000
mmax=lmax
kmax=10
def nalm(lmax, mmax):
return ((mmax+1)*(mmax+2))//2 + (mmax+1)*(lmax-mmax)
def random_alm(lmax, mmax):
res = np.random.uniform(-1., 1., nalm(lmax, mmax)) \
+ 1j*np.random.uniform(-1., 1., nalm(lmax, mmax))
# make a_lm with m==0 real-valued
res[0:lmax+1].imag = 0.
return res
def theta_extend(arr, spin):
nth, nph = arr.shape
arr2 = np.zeros(((nth-1)*2,nph))
arr2[0:nth,:] = arr
arr2[nth:,:] = np.roll(arr[nth-2:0:-1,:],nph//2,axis=1)
if spin&1:
arr2 = -arr2
return arr2
def mydot(a1,a2,spin):
return np.vdot(theta_extend(a1,spin),theta_extend(a2,spin))
def compress_alm(alm,lmax):
res = np.empty(2*len(alm)-lmax-1, dtype=np.float64)
res[0:lmax+1] = alm[0:lmax+1].real
res[lmax+1::2] = np.sqrt(2)*alm[lmax+1:].real
res[lmax+2::2] = np.sqrt(2)*alm[lmax+1:].imag
return res
def myalmdot(a1,a2,lmax,mmax,spin):
return np.vdot(compress_alm(a1,lmax),compress_alm(a2,lmax))
spin=0
inter = interpol_ng.PyInterpolator(lmax, kmax, epsilon=1e-6, nthreads=1)
nphi0, ntheta0, nphi, ntheta = inter.Nphi0(), inter.Ntheta0(), inter.Nphi(), inter.Ntheta()
alm0 = random_alm(lmax, mmax)
job = pysharp.sharpjob_d()
job.set_triangular_alm_info(lmax, lmax)
job.set_cc_geometry(ntheta0, nphi0)
in0 = job.alm2map(alm0).reshape((ntheta0,nphi0))
out0=inter.test_correct(in0,spin)
print(out0.shape,out0.strides)
job.set_cc_geometry(ntheta, nphi)
out0x=np.copy(out0)
out0x[1:-1,:]*=2
aout0=job.alm2map_adjoint(out0x.reshape((-1,)))
alm1 = random_alm(lmax, mmax)
in1 = job.alm2map(alm1).reshape((ntheta,nphi))
out1=inter.test_decorrect(in1,spin)
print(out1.shape,out1.strides)
job.set_cc_geometry(ntheta0, nphi0)
out1x=np.copy(out1)
out1x[1:-1,:]*=2
aout1=job.alm2map_adjoint(out1x.reshape((-1,)))
print(myalmdot(alm0,aout1,lmax,lmax,spin)/myalmdot(alm1,aout0,lmax,lmax,spin))
print(nphi0, ntheta0, nphi, ntheta)
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