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qp_plugins_scemama/devel/svdwf/FSVD_trunc.irp.f

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FortranFixed
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2021-07-28 17:19:18 +02:00
program FSVD_trunc
implicit none
BEGIN_DOC
! study precision variation with truncated SVD
END_DOC
read_wf = .True.
TOUCH read_wf
! !!!
call run()
! !!!
end
subroutine run
implicit none
integer :: mm, nn, i_state, low_rank, lrank_min, lrank_max
integer :: i, j, k, l
double precision :: norm_psi, err_verif, err_tmp
double precision, allocatable :: U_FSVD(:,:), D_FSVD(:), Vt_FSVD(:,:), A_FSVD(:,:)
double precision, allocatable :: Uezfio(:,:,:), Dezfio(:,:), Vezfio(:,:,:)
i_state = 1
mm = n_det_alpha_unique
nn = n_det_beta_unique
print *, ' matrix dimensions:', mm,'x',nn
print *, ' N det:', N_det
allocate( A_FSVD(mm,nn), U_FSVD(mm,mm), D_FSVD(min(mm,nn)), Vt_FSVD(nn,nn) )
norm_psi = 0.d0
A_FSVD(:,:) = 0.d0
do k = 1, N_det
i = psi_bilinear_matrix_rows(k)
j = psi_bilinear_matrix_columns(k)
A_FSVD(i,j) = psi_bilinear_matrix_values(k,i_state)
norm_psi += psi_bilinear_matrix_values(k,i_state) * psi_bilinear_matrix_values(k,i_state)
enddo
call svd_s( A_FSVD, size(A_FSVD,1), U_FSVD, size(U_FSVD,1), D_FSVD, Vt_FSVD, size(Vt_FSVD,1), mm, nn)
print *, ' --- Full SVD: ok --- '
!lrank_min = 100
!lrank_max = nn
!do low_rank = lrank_min, lrank_max, 1
! err_verif = 0.d0
! do j = 1, nn
! do i = 1, mm
! err_tmp = 0.d0
! do l = 1, low_rank
! err_tmp = err_tmp + D_FSVD(l) * U_FSVD(i,l) * Vt_FSVD(l,j)
! enddo
! err_verif = err_verif + (A_FSVD(i,j)-err_tmp) * (A_FSVD(i,j)-err_tmp)
! enddo
! enddo
! print*, ' low rank = ', low_rank
! print*, ' err verif (%) = ', 100.d0 * dsqrt(err_verif/norm_psi)
!enddo
! ------------------------------------------------------------------------------------------------
! set to EZFIO for a fixed low rank
low_rank = min(mm,nn)
allocate( Uezfio(mm,low_rank,1), Dezfio(low_rank,1), Vezfio(nn,low_rank,1))
do l = 1, low_rank
Dezfio(l,1) = D_FSVD(l)
do j = 1, mm
Uezfio(j,l,1) = U_FSVD(j,l)
enddo
do j = 1, nn
Vezfio(j,l,1) = Vt_FSVD(l,j)
enddo
enddo
!call ezfio_set_spindeterminants_n_det(N_det)
!call ezfio_set_spindeterminants_n_states(N_states)
!call ezfio_set_spindeterminants_n_det_alpha(n_det_alpha_unique)
!call ezfio_set_spindeterminants_n_det_beta(n_det_beta_unique)
!call ezfio_set_spindeterminants_psi_coef_matrix_rows(psi_bilinear_matrix_rows)
!call ezfio_set_spindeterminants_psi_coef_matrix_columns(psi_bilinear_matrix_columns)
!call ezfio_set_spindeterminants_psi_coef_matrix_values(psi_bilinear_matrix_values)
call ezfio_set_spindeterminants_n_svd_coefs(low_rank)
call ezfio_set_spindeterminants_psi_svd_alpha(Uezfio)
call ezfio_set_spindeterminants_psi_svd_beta(Vezfio )
call ezfio_set_spindeterminants_psi_svd_coefs(Dezfio)
! ------------------------------------------------------------------------------------------------
deallocate( Uezfio, Dezfio, Vezfio )
deallocate( U_FSVD, D_FSVD, Vt_FSVD )
end