Vectorization of python ...getSVD version
Former-commit-id: 47b491c768dd30c86055cbb36ab0f7748a8a5202
This commit is contained in:
Marek Nečada
parent
a662c885d5
commit
4b614d8e0b
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@ -477,9 +477,52 @@ def hexlattice_zsym_getSVD(lMax, TMatrices_om, epsilon_b, hexside, maxlayer, ome
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minsvTMlist = np.full((klist.shape[0], onlyNmin),np.nan)
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leftmatrixlist = np.full((klist.shape[0],2,2,nelem,2,2,nelem),np.nan,dtype=complex)
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isNaNlist = np.zeros((klist.shape[0]), dtype=bool)
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#isNaNlist = np.zeros((klist.shape[0]), dtype=bool)
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isNaNlist = (k_0*k_0 - klist[:,0]**2 - klist[:,1]**2 < 0)
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nnlist = np.logical_not(isNaNlist)
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sbtime = _time_b(verbose, step='Initialization of matrices for SVD for a given list of k\'s')
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#ki = np.arange(klist.shape[0])[k_0*k_0 - klist[:,0]**2 - klist[:,1]**2 >= 0]
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k = klist[nnlist]
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phases_self = np.exp(1j*np.tensordot(k,unitcell_translations,axes=(-1,-1)))
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phases_u2d = np.exp(1j*np.tensordot(k,u2d_translations,axes=(-1,-1)))
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phases_d2u = np.exp(1j*np.tensordot(k,d2u_translations,axes=(-1,-1)))
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if gaussianSigma:
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phases_self *= unitcell_envelope
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phases_u2d *= u2d_envelope
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phases_d2u *= d2u_envelope
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leftmatrix = np.zeros((len(ki),2,2,nelem, 2,2,nelem), dtype=complex)
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# 0:[u,E<--u,E ]
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# 1:[d,M<--d,M ]
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leftmatrix[:,0,0,:,0,0,:] = np.tensordot(a_self,phases_self, axes=(0,-1)) # u2u, E2E
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leftmatrix[:,1,0,:,1,0,:] = leftmatrix[:,0,0,:,0,0,:] # d2d, E2E
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leftmatrix[:,0,1,:,0,1,:] = leftmatrix[:,0,0,:,0,0,:] # u2u, M2M
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leftmatrix[:,1,1,:,1,1,:] = leftmatrix[:,0,0,:,0,0,:] # d2d, M2M
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leftmatrix[:,0,0,:,0,1,:] = np.tensordot(b_self,phases_self, axes=(0,-1)) # u2u, M2E
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leftmatrix[:,0,1,:,0,0,:] = leftmatrix[:,0,0,:,0,1,:] # u2u, E2M
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leftmatrix[:,1,1,:,1,0,:] = leftmatrix[:,0,0,:,0,1,:] # d2d, E2M
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leftmatrix[:,1,0,:,1,1,:] = leftmatrix[:,0,0,:,0,1,:] # d2d, M2E
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leftmatrix[:,0,0,:,1,0,:] = np.tensordot(a_d2u, phases_d2u,axes=(0,-1)) #d2u,E2E
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leftmatrix[:,0,1,:,1,1,:] = leftmatrix[:,0,0,:,1,0,:] #d2u, M2M
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leftmatrix[:,1,0,:,0,0,:] = np.tensordot(a_u2d, phases_u2d,axes=(0,-1)) #u2d,E2E
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leftmatrix[:,1,1,:,0,1,:] = leftmatrix[:,1,0,:,0,0,:] #u2d, M2M
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leftmatrix[:,0,0,:,1,1,:] = np.tensordot(b_d2u, phases_d2u,axes=(0,-1)) #d2u,M2E
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leftmatrix[:,0,1,:,1,0,:] = leftmatrix[:,0,0,:,1,1,:] #d2u, E2M
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leftmatrix[:,1,0,:,0,1,:] = np.tensordot(b_u2d, phases_u2d,axes=(0,-1)) #u2d,M2E
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leftmatrix[:,1,1,:,0,0,:] = leftmatrix[:,1,0,:,0,1,:] #u2d, E2M
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#leftmatrix is now the translation matrix T
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for j in range(2):
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leftmatrix[:,j] = -np.tensordot(TMatrices_om[j], leftmatrix[:,j], axes=([-2,-1],[1,2]))
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# at this point, jth row of leftmatrix is that of -MT
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leftmatrix[:,j,:,:,j,:,:] += n2id
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#now we are done, 1-MT
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leftmatrixlist[nnlist] = leftmatrix
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'''
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# sem nějaká rozumná smyčka
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for ki in range(klist.shape[0]):
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k = klist[ki]
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@ -521,8 +564,8 @@ def hexlattice_zsym_getSVD(lMax, TMatrices_om, epsilon_b, hexside, maxlayer, ome
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#now we are done, 1-MT
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leftmatrixlist[ki] = leftmatrix
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'''
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nnlist = np.logical_not(isNaNlist)
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leftmatrixlist_s = np.reshape(leftmatrixlist,(klist.shape[0], 2*2*nelem,2*2*nelem))[nnlist]
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TEč, TMč = symz_indexarrays(lMax, 2)
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leftmatrixlist_TE = leftmatrixlist_s[np.ix_(np.arange(leftmatrixlist_s.shape[0]),TEč,TEč)]
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@ -0,0 +1,130 @@
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import math
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import numpy as np
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cimport numpy as np
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nx = None
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cdef double _s3 = math.sqrt(3)
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from scipy.constants import c
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from .timetrack import _time_b, _time_e
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from .qpms_p import symz_indexarrays
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from .hexpoints import hexlattice_get_AB
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cpdef hexlattice_zsym_getSVD(int lMax, TMatrices_om, double epsilon_b, double hexside, size_t maxlayer, double omega, klist, gaussianSigma=False, int onlyNmin=0, verbose=False):
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cdef np.ndarray[np.npy_double, ndim = 2] klist_c = klist
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btime = _time_b(verbose)
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cdef size_t nelem = lMax * (lMax + 2)
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_n2id = np.identity(2*nelem)
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_n2id.shape = (2,nelem,2,nelem)
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cdef np.ndarray[np.npy_double, ndim = 4] n2id = _n2id
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cdef double nan = float('nan')
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k_0 = omega * math.sqrt(epsilon_b) / c
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tdic = hexlattice_get_AB(lMax,k_0*hexside,maxlayer)
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cdef np.ndarray[np.npy_cdouble, ndim = 3] a_self = tdic['a_self'][:,:nelem,:nelem]
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cdef np.ndarray[np.npy_cdouble, ndim = 3] b_self = tdic['b_self'][:,:nelem,:nelem]
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cdef np.ndarray[np.npy_cdouble, ndim = 3] a_u2d = tdic['a_u2d'][:,:nelem,:nelem]
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cdef np.ndarray[np.npy_cdouble, ndim = 3] b_u2d = tdic['b_u2d'][:,:nelem,:nelem]
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cdef np.ndarray[np.npy_cdouble, ndim = 3] a_d2u = tdic['a_d2u'][:,:nelem,:nelem]
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cdef np.ndarray[np.npy_cdouble, ndim = 3] b_d2u = tdic['b_d2u'][:,:nelem,:nelem]
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cdef np.ndarray[np.npy_double, ndim = 2] unitcell_translations = tdic['self_tr']*hexside*_s3
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cdef np.ndarray[np.npy_double, ndim = 2] u2d_translations = tdic['u2d_tr']*hexside*_s3
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cdef np.ndarray[np.npy_double, ndim = 2] d2u_translations = tdic['d2u_tr']*hexside*_s3
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cdef np.ndarray[np.npy_double, ndim = 1] unitcell_envelope, u2d_envelope, d2u_envelope
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if gaussianSigma:
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sbtime = _time_b(verbose, step='Calculating gaussian envelope')
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unitcell_envelope = np.exp(-np.sum(tdic['self_tr']**2,axis=-1)/(2*gaussianSigma**2))
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u2d_envelope = np.exp(-np.sum(tdic['u2d_tr']**2,axis=-1)/(2*gaussianSigma**2))
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d2u_envelope = np.exp(-np.sum(tdic['d2u_tr']**2,axis=-1)/(2*gaussianSigma**2))
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_time_e(sbtime, verbose, step='Calculating gaussian envelope')
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cdef np.ndarray[np.npy_cdouble, ndim = 3] svUfullTElist, svVfullTElist, svUfullTMlist, svVfullTMlist
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cdef np.ndarray[np.npy_cdouble, ndim = 2] svSfullTElist, svSfullTMlist
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cdef np.ndarray[np.npy_double, ndim = 2] minsvTElist, minsvTMlist
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#TMatrices_om = TMatrices_interp(omega)
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if(not onlyNmin):
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svUfullTElist = np.full((klist_c.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
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svVfullTElist = np.full((klist_c.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
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svSfullTElist = np.full((klist_c.shape[0], 2*nelem), np.nan, dtype=complex)
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svUfullTMlist = np.full((klist_c.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
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svVfullTMlist = np.full((klist_c.shape[0], 2*nelem, 2*nelem), np.nan, dtype=complex)
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svSfullTMlist = np.full((klist_c.shape[0], 2*nelem), np.nan, dtype=complex)
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else:
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minsvTElist = np.full((klist_c.shape[0], onlyNmin),np.nan)
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minsvTMlist = np.full((klist_c.shape[0], onlyNmin),np.nan)
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cdef np.ndarray[np.npy_cdouble] leftmatrixlist = np.full((klist_c.shape[0],2,2,nelem,2,2,nelem),np.nan,dtype=complex)
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cdef np.ndarray[np.npy_bool, ndim=1] isNaNlist = np.zeros((klist_c.shape[0]), dtype=bool)
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sbtime = _time_b(verbose, step='Initialization of matrices for SVD for a given list of k\'s')
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# sem nějaká rozumná smyčka
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# declarations for the ki loop:
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cdef size_t ki
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cdef np.ndarray[np.npy_cdouble, ndim = 1] phases_self
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cdef np.ndarray[np.npy_cdouble, ndim = 1] phases_u2d
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cdef np.ndarray[np.npy_cdouble, ndim = 1] phases_d2u
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cdef np.ndarray[np.npy_cdouble, ndim=6] leftmatrix
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cdef np.ndarray[np.npy_double, ndim=1] k
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cdef int j
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for ki in range(klist_c.shape[0]):
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k = klist_c[ki]
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if (k_0*k_0 - k[0]*k[0] - k[1]*k[1] < 0):
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isNaNlist[ki] = True
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continue
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phases_self = np.exp(1j*np.tensordot(k,unitcell_translations,axes=(0,-1)))
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phases_u2d = np.exp(1j*np.tensordot(k,u2d_translations,axes=(0,-1)))
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phases_d2u = np.exp(1j*np.tensordot(k,d2u_translations,axes=(0,-1)))
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if gaussianSigma:
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phases_self *= unitcell_envelope
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phases_u2d *= u2d_envelope
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phases_d2u *= d2u_envelope
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leftmatrix = np.zeros((2,2,nelem, 2,2,nelem), dtype=complex)
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# 0:[u,E<--u,E ]
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# 1:[d,M<--d,M ]
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leftmatrix[0,0,:,0,0,:] = np.tensordot(a_self,phases_self, axes=(0,-1)) # u2u, E2E
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leftmatrix[1,0,:,1,0,:] = leftmatrix[0,0,:,0,0,:] # d2d, E2E
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leftmatrix[0,1,:,0,1,:] = leftmatrix[0,0,:,0,0,:] # u2u, M2M
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leftmatrix[1,1,:,1,1,:] = leftmatrix[0,0,:,0,0,:] # d2d, M2M
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leftmatrix[0,0,:,0,1,:] = np.tensordot(b_self,phases_self, axes=(0,-1)) # u2u, M2E
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leftmatrix[0,1,:,0,0,:] = leftmatrix[0,0,:,0,1,:] # u2u, E2M
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leftmatrix[1,1,:,1,0,:] = leftmatrix[0,0,:,0,1,:] # d2d, E2M
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leftmatrix[1,0,:,1,1,:] = leftmatrix[0,0,:,0,1,:] # d2d, M2E
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leftmatrix[0,0,:,1,0,:] = np.tensordot(a_d2u, phases_d2u,axes=(0,-1)) #d2u,E2E
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leftmatrix[0,1,:,1,1,:] = leftmatrix[0,0,:,1,0,:] #d2u, M2M
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leftmatrix[1,0,:,0,0,:] = np.tensordot(a_u2d, phases_u2d,axes=(0,-1)) #u2d,E2E
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leftmatrix[1,1,:,0,1,:] = leftmatrix[1,0,:,0,0,:] #u2d, M2M
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leftmatrix[0,0,:,1,1,:] = np.tensordot(b_d2u, phases_d2u,axes=(0,-1)) #d2u,M2E
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leftmatrix[0,1,:,1,0,:] = leftmatrix[0,0,:,1,1,:] #d2u, E2M
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leftmatrix[1,0,:,0,1,:] = np.tensordot(b_u2d, phases_u2d,axes=(0,-1)) #u2d,M2E
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leftmatrix[1,1,:,0,0,:] = leftmatrix[1,0,:,0,1,:] #u2d, E2M
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#leftmatrix is now the translation matrix T
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for j in range(2):
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leftmatrix[j] = -np.tensordot(TMatrices_om[j], leftmatrix[j], axes=([-2,-1],[0,1]))
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# at this point, jth row of leftmatrix is that of -MT
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leftmatrix[j,:,:,j,:,:] += n2id
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#now we are done, 1-MT
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leftmatrixlist[ki] = leftmatrix
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nnlist = np.logical_not(isNaNlist)
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leftmatrixlist_s = np.reshape(leftmatrixlist,(klist_c.shape[0], 2*2*nelem,2*2*nelem))[nnlist]
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TEc, TMc = symz_indexarrays(lMax, 2)
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leftmatrixlist_TE = leftmatrixlist_s[np.ix_(np.arange(leftmatrixlist_s.shape[0]),TEc,TEc)]
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leftmatrixlist_TM = leftmatrixlist_s[np.ix_(np.arange(leftmatrixlist_s.shape[0]),TMc,TMc)]
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_time_e(sbtime, verbose, step='Initializing matrices for SVD for a given list of k\'s')
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sbtime = _time_b(verbose, step='Calculating SVDs for a given list of k\'s.')
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if(not onlyNmin):
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svUfullTElist[nnlist], svSfullTElist[nnlist], svVfullTElist[nnlist] = np.linalg.svd(leftmatrixlist_TE, compute_uv=True)
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svUfullTMlist[nnlist], svSfullTMlist[nnlist], svVfullTMlist[nnlist] = np.linalg.svd(leftmatrixlist_TM, compute_uv=True)
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_time_e(sbtime, verbose, step='Calculating SVDs for a given list of k\'s.')
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return ((svUfullTElist, svSfullTElist, svVfullTElist), (svUfullTMlist, svSfullTMlist, svVfullTMlist))
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else:
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minsvTElist[nnlist] = np.linalg.svd(leftmatrixlist_TE, compute_uv=False)[...,-onlyNmin:]
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minsvTMlist[nnlist] = np.linalg.svd(leftmatrixlist_TM, compute_uv=False)[...,-onlyNmin:]
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_time_e(sbtime, verbose, step='Calculating SVDs for a given list of k\'s.')
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return (minsvTElist, minsvTMlist)
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5
setup.py
5
setup.py
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@ -18,7 +18,8 @@ if("LD_LIBRARY_PATH" in os.environ):
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print(os.environ['LD_LIBRARY_PATH'].split(':'))
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qpms_c = Extension('qpms_c',
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sources = ['qpms/qpms_c.pyx','qpms/gaunt.c',#'qpms/gaunt.h','qpms/vectors.h','qpms/translations.h',
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sources = ['qpms/qpms_c.pyx', #'qpms/hexpoints_c.pyx',
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'qpms/gaunt.c',#'qpms/gaunt.h','qpms/vectors.h','qpms/translations.h',
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# FIXME http://stackoverflow.com/questions/4259170/python-setup-script-extensions-how-do-you-include-a-h-file
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'qpms/translations.c'],
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extra_compile_args=['-std=c99','-ggdb','-O3',
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@ -33,7 +34,7 @@ qpms_c = Extension('qpms_c',
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)
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setup(name='qpms',
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version = "0.2.9",
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version = "0.2.10",
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packages=['qpms'],
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# setup_requires=['setuptools_cython'],
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install_requires=['cython>=0.21','quaternion','spherical_functions','py_gmm'],
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