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qp_plugins_scemama/devel/svdwf/psiSVD_pt2_v1.irp.f
Abdallah Ammar 7b442c5341 svdwf with tc
2021-11-02 16:18:07 +01:00

710 lines
22 KiB
Fortran
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program psiSVD_pt2_v1
implicit none
BEGIN_DOC
! perturbative approach to build psi_postsvd
END_DOC
read_wf = .True.
TOUCH read_wf
PROVIDE N_int
call run()
end
subroutine run
USE OMP_LIB
implicit none
integer(bit_kind) :: det1(N_int,2), det2(N_int,2)
integer :: degree, i_state
integer :: i, j, k, l, m, n
double precision :: x, y, h12
double precision, allocatable :: Uref(:,:), Dref(:), Vtref(:,:), Aref(:,:), Vref(:,:)
integer :: rank_max
double precision :: E0, overlop, Ept2
double precision, allocatable :: H0(:,:)
double precision, allocatable :: eigvec0(:,:), eigval0(:), coeff_psi(:), coeff_tmp(:)
integer :: ii, jj, ia, ib
double precision, allocatable :: Hdiag(:), Hkl_save(:,:), Hkl_1d(:), Hkl_tmp(:,:), Hdiag_tmp(:)
double precision, allocatable :: H0_1d(:), H0_tmp(:,:)
integer :: na_new, nb_new, ind_new, ind_gs
double precision :: ctmp, coeff_new
double precision, allocatable :: epsil(:), epsil_energ(:), check_ov(:)
double precision, allocatable :: Uezfio(:,:,:), Dezfio(:,:), Vezfio(:,:,:)
integer :: n_selected, n_toselect, n_tmp, na_max, nb_max
integer, allocatable :: numalpha_selected(:), numbeta_selected(:)
integer, allocatable :: numalpha_toselect(:), numbeta_toselect(:)
integer, allocatable :: numalpha_tmp(:), numbeta_tmp(:)
integer :: cantor_pairing_ij, cantor_pairing_new
integer, allocatable :: cantor_pairing(:), cantor_pairing_tmp(:)
double precision :: t_beg, t_end
integer(kind=8) :: W_tbeg, W_tend, W_tbeg_it, W_tend_it, W_ir
real(kind=8) :: W_tot_time, W_tot_time_it
integer :: nb_taches
!$OMP PARALLEL
nb_taches = OMP_GET_NUM_THREADS()
!$OMP END PARALLEL
call SYSTEM_CLOCK(COUNT=W_tbeg, COUNT_RATE=W_ir)
i_state = 1
det1(:,1) = psi_det_alpha_unique(:,1)
det2(:,1) = psi_det_alpha_unique(:,1)
det1(:,2) = psi_det_beta_unique(:,1)
det2(:,2) = psi_det_beta_unique(:,1)
call get_excitation_degree_spin(det1(1,1),det2(1,1),degree,N_int)
call get_excitation_degree(det1,det2,degree,N_int)
call i_H_j(det1, det2, N_int, h12)
! ---------------------------------------------------------------------------------------
! construct the initial CISD matrix
print *, ' ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~'
print *, ' CI matrix:', n_det_alpha_unique,'x',n_det_beta_unique
print *, ' N det :', N_det
print *, ' ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~'
allocate( Aref(n_det_alpha_unique,n_det_beta_unique) )
Aref(:,:) = 0.d0
do k = 1, N_det
i = psi_bilinear_matrix_rows(k)
j = psi_bilinear_matrix_columns(k)
Aref(i,j) = psi_bilinear_matrix_values(k,i_state)
enddo
! ---------------------------------------------------------------------------------------
! ---------------------------------------------------------------------------------------
! perform a Full SVD
allocate( Uref(n_det_alpha_unique,n_det_alpha_unique) )
allocate( Dref(min(n_det_alpha_unique,n_det_beta_unique)) )
allocate( Vtref(n_det_beta_unique,n_det_beta_unique) )
call cpu_time(t_beg)
call svd_s(Aref, size(Aref,1), Uref, size(Uref,1), Dref, Vtref &
, size(Vtref,1), n_det_alpha_unique, n_det_beta_unique)
call cpu_time(t_end)
print *, " SVD is performed after (min)", (t_end-t_beg)/60.
allocate( Vref(n_det_beta_unique,n_det_beta_unique) )
do l = 1, n_det_beta_unique
do i = 1, n_det_beta_unique
Vref(i,l) = Vtref(l,i)
enddo
enddo
deallocate( Vtref )
deallocate( Aref )
! ---------------------------------------------------------------------------------------
! *** PARAMETERS *** !
na_max = n_det_alpha_unique
nb_max = n_det_beta_unique
! *** ***** *** !
print *, ' na_max = ', na_max
print *, ' nb_max = ', nb_max
! ---------------------------------------------------------------------------------------
! initial wavefunction: psi_0
n_selected = 1
allocate(numalpha_selected(n_selected), numbeta_selected(n_selected), cantor_pairing(n_selected))
numalpha_selected(1) = 1
numbeta_selected (1) = 1
cantor_pairing (1) = 4 !int( 0.5*(1+1)*(1+1+1) ) + 1
allocate( coeff_psi(n_selected) )
coeff_psi(1) = 1.d0
! ---------------------------------------------------------------------------------------
! ---------------------------------------------------------------------------------------
! construnc the initial basis to select phi_1 from the FSVD
n_toselect = na_max * nb_max - n_selected
print *, ' toselect = ', n_toselect
print *, ' to trun = ', n_det_alpha_unique*n_det_beta_unique - na_max*nb_max
allocate( numalpha_toselect(n_toselect) , numbeta_toselect(n_toselect) )
k = 0
do i = 1, na_max
do j = 1, nb_max
cantor_pairing_ij = int( 0.5*(i+j)*(i+j+1) ) + j
if( ANY(cantor_pairing .eq. cantor_pairing_ij) ) cycle
k = k + 1
numalpha_toselect(k) = i
numbeta_toselect (k) = j
enddo
enddo
if( k.ne.n_toselect ) then
print *, " error in chosing vectors toselect"
print *, " n_toselect =", n_toselect
print *, " k =", k
stop
endif
! ---------------------------------------------------------------------------------------
! ---------------------------------------------------------------------------------------
! read < u_k v_l | H | u_k v_l > for all vectors
allocate( Hdiag(n_toselect) , H0(n_selected,n_selected) )
open( unit=11, FILE="klHkl_v1.dat", ACTION="READ")
read(11,*) i, i, E0
H0(1,1) = E0
do i = 1, n_toselect
read(11,*) ia, ib, ctmp
!print *, ' ia , ib :', ia, ib
if( (numalpha_toselect(i).ne.ia) .or. (numbeta_toselect(i).ne.ib) ) then
print *, ' error in reading klHkl_v1 '
print *, ' ia , ib :', ia, ib
print *, numalpha_toselect(i) , numbeta_toselect(i)
stop
endif
Hdiag(i) = ctmp
enddo
close(11)
! ---------------------------------------------------------------------------------------
E0 = E0 + nuclear_repulsion
print*, ' space dimen = ', n_selected
print*, ' ground state E0 = ', E0
na_new = 1
nb_new = 1
!________________________________________________________________________________________________________
!
! increase the size of psi0 iteratively
!________________________________________________________________________________________________________
! *** PARAMETERS *** !
rank_max = na_max * nb_max
! *** ***** *** !
if( rank_max .gt. (na_max*nb_max) ) then
print *, " rank_max should be less then na_max x nb_max"
stop
endif
allocate( Hkl_save(n_toselect,n_selected) )
do while( n_selected .lt. rank_max )
call SYSTEM_CLOCK(COUNT=W_tbeg_it, COUNT_RATE=W_ir)
print*, ' '
print*, ' new iteration '
if( n_toselect .lt. 1 ) then
print*, ' ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ '
print*, ' no more vectors to construct a new basis '
print*, ' ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ '
stop
else
! ---------------------------------------------------------------------------------------
! select a new vector
allocate( Hkl_1d(n_toselect) )
call const_Hkl_1d(na_new, nb_new, na_max, nb_max, n_toselect, Uref, Vref, numalpha_toselect, numbeta_toselect, Hkl_1d)
Hkl_save(1:n_toselect,n_selected) = Hkl_1d(1:n_toselect)
deallocate( Hkl_1d )
! choose the best vector
allocate( epsil(n_toselect) , epsil_energ(n_toselect) )
do ii = 1, n_toselect
ctmp = 0.d0
do l = 1, n_selected
ctmp = ctmp + coeff_psi(l) * Hkl_save(ii,l)
enddo
epsil(ii) = ctmp * ctmp / ( E0 - (Hdiag(ii)+nuclear_repulsion) )
epsil_energ(ii) = epsil(ii)
epsil(ii) = dabs( epsil(ii) )
enddo
ind_new = MAXLOC( epsil, DIM=1 )
ept2 = epsil_energ(ind_new)
if( ept2 .gt. 0.d0 ) then
print *, ' ept2 > 0 !!!!!!!!!! '
print *, na_new, nb_new, ept2
stop
endif
na_new = numalpha_toselect(ind_new)
nb_new = numbeta_toselect (ind_new)
cantor_pairing_new = int( 0.5 * (na_new+nb_new) * (na_new+nb_new+1) ) + nb_new
print *, ' ind_new ', ind_new
print *, ' best vector', na_new, nb_new, ept2
deallocate(epsil,epsil_energ)
! new coefficient
coeff_new = 0.d0
do l = 1, n_selected
coeff_new += coeff_psi(l) * Hkl_save(ind_new,l)
enddo
coeff_new = coeff_new / ( E0 - (Hdiag(ind_new)+nuclear_repulsion) )
print *, ' new coeff = ', coeff_new
print *, ' Hdiag = ', Hdiag(ind_new)
! < psi_old | H | delta_psi >
allocate( H0_1d(n_selected) )
call const_H0_1d(na_new, nb_new, na_max, nb_max, n_selected, Uref, Vref, numalpha_selected, numbeta_selected, H0_1d)
! ---------------------------------------------------------------------------------------
! ---------------------------------------------------------------------------------------
! new psi
allocate( numalpha_tmp(n_selected), numbeta_tmp(n_selected), coeff_tmp(n_selected) )
allocate( cantor_pairing_tmp(n_selected) )
allocate( H0_tmp(n_selected,n_selected) )
coeff_tmp (:) = coeff_psi (:)
numalpha_tmp (:) = numalpha_selected(:)
numbeta_tmp (:) = numbeta_selected (:)
cantor_pairing_tmp(:) = cantor_pairing (:)
H0_tmp (:,:) = H0 (:,:)
deallocate( numalpha_selected, numbeta_selected, coeff_psi, cantor_pairing, H0 )
n_tmp = n_selected
n_selected = n_selected + 1
allocate( numalpha_selected(n_selected) , numbeta_selected(n_selected) , coeff_psi(n_selected) )
allocate( cantor_pairing(n_selected) )
allocate( H0(n_selected,n_selected) )
H0(:,:) = 0.d0
do l = 1, n_tmp
coeff_psi (l) = coeff_tmp (l)
numalpha_selected(l) = numalpha_tmp (l)
numbeta_selected (l) = numbeta_tmp (l)
cantor_pairing (l) = cantor_pairing_tmp(l)
enddo
H0(1:n_tmp,1:n_tmp) = H0_tmp(1:n_tmp,1:n_tmp)
deallocate( numalpha_tmp, numbeta_tmp, coeff_tmp, cantor_pairing_tmp, H0_tmp )
coeff_psi (n_selected) = coeff_new
numalpha_selected(n_selected) = na_new
numbeta_selected (n_selected) = nb_new
cantor_pairing (n_selected) = cantor_pairing_new
H0(1:n_tmp,n_selected) = H0_1d(1:n_tmp)
H0(n_selected,1:n_tmp) = H0_1d(1:n_tmp)
deallocate( H0_1d )
H0(n_selected,n_selected) = Hdiag(ind_new)
! ---------------------------------------------------------------------------------------
! ---------------------------------------------------------------------------------------
! new energy
allocate( eigvec0(n_selected,n_selected), eigval0(n_selected) )
call lapack_diag(eigval0, eigvec0, H0, n_selected, n_selected)
! get the postsvd ground state
allocate( check_ov(n_selected) )
do l = 1, n_selected
overlop = 0.d0
do i = 1, n_selected
ia = numalpha_selected(i)
ib = numbeta_selected (i)
if( ia .eq. ib ) overlop = overlop + eigvec0(i,l) * Dref(ia)
!overlop = overlop + eigvec0(i,l) * coeff_psi(i)
enddo
check_ov(l) = dabs(overlop)
enddo
ind_gs = MAXLOC( check_ov, DIM=1 )
overlop = check_ov(ind_gs)
E0 = eigval0(ind_gs)+nuclear_repulsion
coeff_psi(:) = eigvec0(:,ind_gs)
deallocate( check_ov, eigval0, eigvec0 )
print*, ' space dimen = ', n_selected
print*, ' diag energy = ', E0
print*, ' overlop = ', overlop
print*, ' index = ', ind_gs
! ---------------------------------------------------------------------------------------
write(2111, '( 3(I5,3X), 3(F15.8,3X) )') n_selected, na_new, nb_new, ept2, E0, overlop
! ---------------------------------------------------------------------------------------
! remove selected pair | na_new nb_new >
allocate( numalpha_tmp(n_toselect), numbeta_tmp(n_toselect), Hdiag_tmp(n_toselect) )
numalpha_tmp(:) = numalpha_toselect(:)
numbeta_tmp (:) = numbeta_toselect (:)
Hdiag_tmp (:) = Hdiag (:)
ii = n_selected - 1
allocate( Hkl_tmp(n_toselect,ii) )
Hkl_tmp(1:n_toselect,1:ii) = Hkl_save(1:n_toselect,1:ii)
deallocate( numalpha_toselect , numbeta_toselect, Hkl_save, Hdiag )
n_tmp = n_toselect
n_toselect = n_toselect - 1
print*, ' rank to select = ', n_toselect
allocate(numalpha_toselect(n_toselect), numbeta_toselect(n_toselect), Hkl_save(n_toselect,n_selected))
allocate(Hdiag(n_toselect))
Hkl_save = 0.d0
l = 0
do k = 1, n_tmp
ia = numalpha_tmp(k)
ib = numbeta_tmp (k)
cantor_pairing_ij = int( 0.5*(ia+ib)*(ia+ib+1) ) + ib
if( ANY(cantor_pairing .eq. cantor_pairing_ij) ) cycle
l = l + 1
numalpha_toselect(l) = numalpha_tmp(k)
numbeta_toselect (l) = numbeta_tmp (k)
Hdiag (l) = Hdiag_tmp (k)
Hkl_save(l,1:ii) = Hkl_tmp(k,1:ii)
enddo
if( l .ne. n_toselect) then
print *, " error in updating to select vectors"
print *, " l = ", l
print *, " n_toselect = ", n_toselect
stop
endif
deallocate( numalpha_tmp , numbeta_tmp , Hkl_tmp, Hdiag_tmp )
! ---------------------------------------------------------------------------------------
endif
call SYSTEM_CLOCK(COUNT=W_tend_it, COUNT_RATE=W_ir)
W_tot_time_it = real(W_tend_it-W_tbeg_it, kind=8) / real(W_ir, kind=8)
print*, " "
print*, " elapsed time (min) = ", W_tot_time_it/60.d0
end do
!________________________________________________________________________________________________________
!________________________________________________________________________________________________________
call SYSTEM_CLOCK(COUNT=W_tend, COUNT_RATE=W_ir)
W_tot_time = real(W_tend - W_tbeg, kind=8) / real(W_ir, kind=8)
print *, ' ___________________________________________________________________'
print *, ' '
print *, " Execution avec ", nb_taches, " threads"
print *, " total elapsed time (min) = ", W_tot_time/60.d0
print *, ' ___________________________________________________________________'
deallocate( Dref )
deallocate( Uref, Vref )
deallocate( psi_coef )
deallocate( numalpha_selected, numbeta_selected, numalpha_toselect, numbeta_toselect )
deallocate( H0, Hdiag, Hkl_save )
end
subroutine const_H0_1d(na_new, nb_new, na_max, nb_max, n_selected, Uref, Vref, numalpha_selected, numbeta_selected, H0_1d)
implicit none
integer, intent(in) :: na_new, nb_new, na_max, nb_max, n_selected
integer, intent(in) :: numalpha_selected(n_selected), numbeta_selected(n_selected)
double precision, intent(in) :: Uref(n_det_alpha_unique,n_det_alpha_unique)
double precision, intent(in) :: Vref(n_det_beta_unique ,n_det_beta_unique)
double precision, intent(out) :: H0_1d(n_selected)
integer(bit_kind) :: det1(N_int,2)
integer(bit_kind) :: det2(N_int,2)
integer :: degree, na, nb
integer :: i, j, k, l, ii, jj, m
double precision :: h12
double precision, allocatable :: Hmat_kl(:,:), tmp1(:,:), tmp2(:,:)
double precision, allocatable :: U1d(:), V1d(:)
double precision, allocatable :: Utmp(:,:), Vtmp(:,:)
double precision :: ti, tf
print *, ""
print *, " start const_H0_1d"
call wall_time(ti)
na = n_det_alpha_unique
nb = n_det_beta_unique
allocate( U1d(na) , V1d(nb) )
U1d(1:na) = Uref(1:na,na_new)
V1d(1:nb) = Vref(1:nb,nb_new)
allocate( tmp1(na,nb) )
tmp1 = 0.d0
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k,l,h12,det1,det2,degree,tmp2) &
!$OMP SHARED(na,nb,psi_det_alpha_unique,psi_det_beta_unique, &
!$OMP N_int,U1d,V1d,tmp1)
allocate( tmp2(na,nb) )
tmp2 = 0.d0
!$OMP DO
do l = 1, nb
det2(:,2) = psi_det_beta_unique(:,l)
do j = 1, nb
det1(:,2) = psi_det_beta_unique(:,j)
call get_excitation_degree_spin(det1(1,2),det2(1,2),degree,N_int)
if(degree .gt. 2) cycle
do k = 1, na
det2(:,1) = psi_det_alpha_unique(:,k)
do i = 1, na
det1(:,1) = psi_det_alpha_unique(:,i)
call get_excitation_degree(det1,det2,degree,N_int)
if(degree .gt. 2) cycle
call i_H_j(det1, det2, N_int, h12)
if( h12 .eq. 0.d0) cycle
tmp2(i,j) += h12 * U1d(k) * V1d(l)
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP CRITICAL
do j = 1, nb
do i = 1, na
tmp1(i,j) += tmp2(i,j)
enddo
enddo
!$OMP END CRITICAL
deallocate( tmp2 )
!$OMP END PARALLEL
deallocate( U1d , V1d )
! tmp2(j,m) = sum_i tmp1(i,j) x Uref(i,m)
allocate( Utmp(na,na_max) )
Utmp(1:na,1:na_max) = Uref(1:na,1:na_max)
allocate( tmp2(nb,na_max) )
call DGEMM('T', 'N', nb, na_max, na, 1.d0, &
tmp1, size(tmp1,1), Utmp, size(Utmp,1), &
0.d0, tmp2, size(tmp2,1) )
deallocate( tmp1 )
deallocate( Utmp )
! Hmat_kl(m,n) = sum_j tmp2(j,m) x Vref(j,n)
allocate( Vtmp(nb,nb_max) )
Vtmp(1:nb,1:nb_max) = Vref(1:nb,1:nb_max)
allocate( Hmat_kl(na_max,nb_max) )
call DGEMM('T', 'N', na_max, nb_max, nb, 1.d0, &
tmp2, size(tmp2,1), Vtmp, size(Vtmp,1), &
0.d0, Hmat_kl, size(Hmat_kl,1) )
deallocate( tmp2 )
deallocate( Vtmp )
do m = 1, n_selected
ii = numalpha_selected(m)
jj = numbeta_selected (m)
H0_1d(m) = Hmat_kl(ii,jj)
enddo
deallocate( Hmat_kl )
call wall_time(tf)
print *, " end const_H0_1d after (min) ", (tf-ti)/60.
print *, ""
return
end subroutine const_H0_1d
subroutine const_Hkl_1d(na_new, nb_new, na_max, nb_max, n_toselect, Uref, Vref, numalpha_toselect, numbeta_toselect, Hkl_1d)
implicit none
integer, intent(in) :: na_new, nb_new, na_max, nb_max, n_toselect
integer, intent(in) :: numalpha_toselect(n_toselect), numbeta_toselect(n_toselect)
double precision, intent(in) :: Uref(n_det_alpha_unique,n_det_alpha_unique)
double precision, intent(in) :: Vref(n_det_beta_unique ,n_det_beta_unique)
double precision, intent(out) :: Hkl_1d(n_toselect)
integer(bit_kind) :: det1(N_int,2)
integer(bit_kind) :: det2(N_int,2)
integer :: degree, na, nb
integer :: i, j, k, l, ii, jj, m
double precision :: h12
double precision, allocatable :: Hmat_kl(:,:), tmp1(:,:), tmp2(:,:)
double precision, allocatable :: U1d(:), V1d(:)
double precision, allocatable :: Utmp(:,:), Vtmp(:,:)
double precision :: ti, tf
print *, ""
print *, " start const_Hkl_1d"
call wall_time(ti)
na = n_det_alpha_unique
nb = n_det_beta_unique
allocate( U1d(na) , V1d(nb) )
U1d(1:na) = Uref(1:na,na_new)
V1d(1:nb) = Vref(1:nb,nb_new)
allocate( tmp1(na,nb) )
tmp1 = 0.d0
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k,l,h12,det1,det2,degree,tmp2) &
!$OMP SHARED(na,nb,psi_det_alpha_unique,psi_det_beta_unique, &
!$OMP N_int,U1d,V1d,tmp1)
allocate( tmp2(na,nb) )
tmp2 = 0.d0
!$OMP DO
do l = 1, nb
det2(:,2) = psi_det_beta_unique(:,l)
do j = 1, nb
det1(:,2) = psi_det_beta_unique(:,j)
call get_excitation_degree_spin(det1(1,2),det2(1,2),degree,N_int)
if(degree .gt. 2) cycle
do k = 1, na
det2(:,1) = psi_det_alpha_unique(:,k)
do i = 1, na
det1(:,1) = psi_det_alpha_unique(:,i)
call get_excitation_degree(det1,det2,degree,N_int)
if(degree .gt. 2) cycle
call i_H_j(det1, det2, N_int, h12)
if( h12 .eq. 0.d0) cycle
tmp2(i,j) += h12 * U1d(k) * V1d(l)
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP CRITICAL
do j = 1, nb
do i = 1, na
tmp1(i,j) += tmp2(i,j)
enddo
enddo
!$OMP END CRITICAL
deallocate( tmp2 )
!$OMP END PARALLEL
deallocate( U1d , V1d )
! tmp2(j,m) = sum_i tmp1(i,j) x Uref(i,m)
allocate( Utmp(na,na_max) )
Utmp(1:na,1:na_max) = Uref(1:na,1:na_max)
allocate( tmp2(nb,na_max) )
call DGEMM('T', 'N', nb, na_max, na, 1.d0, &
tmp1, size(tmp1,1), Utmp, size(Utmp,1), &
0.d0, tmp2, size(tmp2,1) )
deallocate( tmp1 , Utmp )
! Hmat_kl(m,n) = sum_j tmp2(j,m) x Vref(j,n)
allocate( Vtmp(nb,nb_max) )
Vtmp(1:nb,1:nb_max) = Vref(1:nb,1:nb_max)
allocate( Hmat_kl(na_max,nb_max) )
call DGEMM('T', 'N', na_max, nb_max, nb, 1.d0, &
tmp2, size(tmp2,1), Vtmp, size(Vtmp,1), &
0.d0, Hmat_kl, size(Hmat_kl,1) )
deallocate( tmp2 )
deallocate( Vtmp )
do m = 1, n_toselect
ii = numalpha_toselect(m)
jj = numbeta_toselect (m)
Hkl_1d(m) = Hmat_kl(ii,jj)
enddo
deallocate( Hmat_kl )
call wall_time(tf)
print *, " end const_Hkl_1d after (min) ", (tf-ti)/60.
print *, ""
return
end subroutine const_Hkl_1d
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