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!--------------------------------------------------------------------------------------------------!
! CP2K: A general program to perform molecular dynamics simulations !
! Copyright (C) 2000 - 2018 CP2K developers group !
!--------------------------------------------------------------------------------------------------!
! **************************************************************************************************
!> \brief routines that build the Kohn-Sham matrix contributions
!> coming from local atomic densities
! **************************************************************************************************
MODULE qs_ks_atom
USE ao_util, ONLY: trace_r_AxB
USE atomic_kind_types, ONLY: atomic_kind_type,&
get_atomic_kind,&
get_atomic_kind_set
USE basis_set_types, ONLY: get_gto_basis_set,&
gto_basis_set_p_type,&
gto_basis_set_type
USE cp_array_utils, ONLY: cp_2d_r_p_type
USE cp_control_types, ONLY: dft_control_type
USE cp_para_types, ONLY: cp_para_env_type
USE dbcsr_api, ONLY: dbcsr_get_block_p,&
dbcsr_p_type
USE kinds, ONLY: dp,&
int_8
USE kpoint_types, ONLY: get_kpoint_info,&
kpoint_type
USE message_passing, ONLY: mp_bcast
USE qs_environment_types, ONLY: get_qs_env,&
qs_environment_type
USE qs_force_types, ONLY: qs_force_type
USE qs_kind_types, ONLY: get_qs_kind,&
get_qs_kind_set,&
qs_kind_type
USE qs_neighbor_list_types, ONLY: get_iterator_task,&
neighbor_list_iterate,&
neighbor_list_iterator_create,&
neighbor_list_iterator_p_type,&
neighbor_list_iterator_release,&
neighbor_list_set_p_type,&
neighbor_list_task_type
USE qs_nl_hash_table_types, ONLY: nl_hash_table_add,&
nl_hash_table_create,&
nl_hash_table_get_from_index,&
nl_hash_table_is_null,&
nl_hash_table_obj,&
nl_hash_table_release,&
nl_hash_table_status
USE qs_oce_methods, ONLY: prj_gather
USE qs_oce_types, ONLY: oce_matrix_type
USE qs_p_env_types, ONLY: qs_p_env_type
USE qs_rho_atom_types, ONLY: get_rho_atom,&
rho_atom_coeff,&
rho_atom_type
USE sap_kind_types, ONLY: alist_post_align_blk,&
alist_pre_align_blk,&
alist_type,&
get_alist
USE util, ONLY: get_limit
USE virial_methods, ONLY: virial_pair_force
USE virial_types, ONLY: virial_type
!$ USE OMP_LIB, ONLY: omp_get_max_threads, &
!$ omp_get_thread_num, &
!$ omp_lock_kind, &
!$ omp_init_lock, omp_set_lock, &
!$ omp_unset_lock, omp_destroy_lock
#include "./base/base_uses.f90"
IMPLICIT NONE
PRIVATE
CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_ks_atom'
PUBLIC :: update_ks_atom
CONTAINS
! **************************************************************************************************
!> \brief The correction to the KS matrix due to the GAPW local terms to the hartree and
!> XC contributions is here added. The correspondig forces contribution are also calculated
!> if required. Each sparse-matrix block A-B is corrected by all the atomic contributions
!> centered on atoms C for which the triplet A-C-B exists (they are close enough)
!> To this end special lists are used
!> \param qs_env qs enviroment, for the lists, the contraction coefficients and the
!> pre calculated integrals of the potential with the atomic orbitals
!> \param ksmat KS matrix, sparse matrix
!> \param pmat density matrix, sparse matrix, needed only for the forces
!> \param forces switch for the calculation of the forces on atoms
!> \param tddft switch for TDDFT linear response
!> \param p_env perturbation theory environment
!> \par History
!> created [MI]
!> the loop over the spins is done internally [03-05,MI]
!> Rewrite using new OCE matrices [08.02.09, jhu]
!> Add OpenMP [Apr 2016, EPCC]
! **************************************************************************************************
SUBROUTINE update_ks_atom(qs_env, ksmat, pmat, forces, tddft, p_env)
TYPE(qs_environment_type), POINTER :: qs_env
TYPE(dbcsr_p_type), DIMENSION(:, :), INTENT(INOUT) :: ksmat, pmat
LOGICAL, INTENT(IN) :: forces
LOGICAL, INTENT(IN), OPTIONAL :: tddft
TYPE(qs_p_env_type), OPTIONAL, POINTER :: p_env
CHARACTER(len=*), PARAMETER :: routineN = 'update_ks_atom', routineP = moduleN//':'//routineN
INTEGER :: bo(2), handle, ia_kind, iac, iat, iatom, ibc, ikind, img, ip, ispin, ja_kind, &
jatom, jkind, ka_kind, kac, katom, kbc, kkind, ldCPC, max_gau, max_nsgf, maxsoc, mepos, &
n_cont_a, n_cont_b, nat, natom, nimages, nkind, nl_table_num_slots, nsetc, nsoctot, &
nspins, num_pe, slot_num
INTEGER(KIND=int_8) :: nl_table_key
INTEGER, ALLOCATABLE, DIMENSION(:) :: atom_of_kind
INTEGER, DIMENSION(3) :: cell_b
INTEGER, DIMENSION(:), POINTER :: atom_list, list_a, list_b
INTEGER, DIMENSION(:, :, :), POINTER :: cell_to_index
LOGICAL :: dista, distb, found, is_entry_null, &
is_task_valid, my_tddft, paw_atom, &
use_virial
REAL(dp), ALLOCATABLE, DIMENSION(:, :) :: a_matrix, p_matrix
REAL(dp), DIMENSION(3) :: rac, rbc
REAL(dp), DIMENSION(3, 3) :: force_tmp
REAL(kind=dp) :: eps_cpc, factor
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:) :: C_int_h, C_int_s, coc
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :) :: dCPC_h, dCPC_s
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :) :: PC_h, PC_s
REAL(KIND=dp), DIMENSION(3, 3) :: pv_virial_thread
REAL(KIND=dp), DIMENSION(:, :, :), POINTER :: C_coeff_hh_a, C_coeff_hh_b, &
C_coeff_ss_a, C_coeff_ss_b
TYPE(alist_type), POINTER :: alist_ac, alist_bc
TYPE(atomic_kind_type), DIMENSION(:), POINTER :: atomic_kind_set
TYPE(cp_2d_r_p_type), DIMENSION(:), POINTER :: mat_h, mat_p
TYPE(cp_para_env_type), POINTER :: para_env
TYPE(dft_control_type), POINTER :: dft_control
TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER :: basis_set_list
TYPE(gto_basis_set_type), POINTER :: basis_set_a, basis_set_b, orb_basis
TYPE(kpoint_type), POINTER :: kpoints
TYPE(neighbor_list_iterator_p_type), &
DIMENSION(:), POINTER :: nl_iterator
TYPE(neighbor_list_set_p_type), DIMENSION(:), &
POINTER :: sab_orb
TYPE(neighbor_list_task_type), POINTER :: next_task, task
TYPE(nl_hash_table_obj) :: nl_hash_table
TYPE(oce_matrix_type), POINTER :: oce
TYPE(qs_force_type), DIMENSION(:), POINTER :: force
TYPE(qs_kind_type), DIMENSION(:), POINTER :: qs_kind_set
TYPE(rho_atom_type), DIMENSION(:), POINTER :: rho_atom
TYPE(rho_atom_type), POINTER :: rho_at
TYPE(virial_type), POINTER :: virial
!$ INTEGER(kind=omp_lock_kind), ALLOCATABLE, DIMENSION(:) :: locks
!$ INTEGER :: lock_num
CALL timeset(routineN, handle)
NULLIFY (qs_kind_set, atomic_kind_set, force, oce, para_env, rho_atom, sab_orb)
NULLIFY (mat_h, mat_p, orb_basis, dft_control)
CALL get_qs_env(qs_env=qs_env, &
qs_kind_set=qs_kind_set, &
atomic_kind_set=atomic_kind_set, &
force=force, &
oce=oce, &
para_env=para_env, &
rho_atom_set=rho_atom, &
virial=virial, &
sab_orb=sab_orb, &
dft_control=dft_control)
nspins = dft_control%nspins
nimages = dft_control%nimages
my_tddft = .FALSE.
IF (PRESENT(tddft)) my_tddft = tddft
factor = 1.0_dp
IF (my_tddft) THEN
IF (nspins == 1) factor = 2.0_dp
CPASSERT(nimages == 1)
END IF
! kpoint images
NULLIFY (cell_to_index)
IF (nimages > 1) THEN
CALL get_qs_env(qs_env=qs_env, kpoints=kpoints)
CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
END IF
IF (my_tddft) THEN
rho_atom => p_env%local_rho_set%rho_atom_set
END IF
eps_cpc = dft_control%qs_control%gapw_control%eps_cpc
CALL get_atomic_kind_set(atomic_kind_set, natom=natom)
CALL get_qs_kind_set(qs_kind_set, maxsgf=max_nsgf, maxgtops=max_gau)
IF (forces) THEN
ALLOCATE (atom_of_kind(natom))
CALL get_atomic_kind_set(atomic_kind_set, atom_of_kind=atom_of_kind)
ldCPC = max_gau
use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
IF (use_virial) pv_virial_thread(:, :) = 0.0_dp
ELSE
use_virial = .FALSE.
END IF
nkind = SIZE(qs_kind_set, 1)
! Collect the local potential contributions from all the processors
mepos = para_env%mepos
num_pe = para_env%num_pe
DO ikind = 1, nkind
NULLIFY (atom_list)
CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=atom_list, natom=nat)
CALL get_qs_kind(qs_kind_set(ikind), paw_atom=paw_atom)
IF (paw_atom) THEN
! gather the atomic block integrals in a more compressed format
bo = get_limit(nat, num_pe, mepos)
DO iat = bo(1), bo(2)
iatom = atom_list(iat)
DO ispin = 1, nspins
CALL prj_gather(rho_atom(iatom)%ga_Vlocal_gb_h(ispin)%r_coef, &
rho_atom(iatom)%cpc_h(ispin)%r_coef, qs_kind_set(ikind))
CALL prj_gather(rho_atom(iatom)%ga_Vlocal_gb_s(ispin)%r_coef, &
rho_atom(iatom)%cpc_s(ispin)%r_coef, qs_kind_set(ikind))
END DO
END DO
! broadcast the CPC arrays to all processors (replicated data)
DO ip = 0, num_pe-1
bo = get_limit(nat, num_pe, ip)
DO iat = bo(1), bo(2)
iatom = atom_list(iat)
DO ispin = 1, nspins
CALL mp_bcast(rho_atom(iatom)%cpc_h(ispin)%r_coef, ip, para_env%group)
CALL mp_bcast(rho_atom(iatom)%cpc_s(ispin)%r_coef, ip, para_env%group)
END DO
END DO
END DO
END IF
END DO
ALLOCATE (basis_set_list(nkind))
DO ikind = 1, nkind
CALL get_qs_kind(qs_kind_set(ikind), basis_set=basis_set_a)
IF (ASSOCIATED(basis_set_a)) THEN
basis_set_list(ikind)%gto_basis_set => basis_set_a
ELSE
NULLIFY (basis_set_list(ikind)%gto_basis_set)
END IF
END DO
! build the hash table in serial...
! ... creation ...
CALL neighbor_list_iterator_create(nl_iterator, sab_orb)
nl_table_num_slots = natom*natom/2 ! this is probably not optimal, but it seems a good start
CALL nl_hash_table_create(nl_hash_table, nmax=nl_table_num_slots)
! ... and population
DO WHILE (neighbor_list_iterate(nl_iterator) == 0) ! build hash table in serial, so don't pass mepos
ALLOCATE (task) ! They must be deallocated before the nl_hash_table is released
CALL get_iterator_task(nl_iterator, task) ! build hash table in serial, so don't pass mepos
! tasks with the same key access the same blocks of H & P
IF (task%iatom <= task%jatom) THEN
nl_table_key = natom*task%iatom+task%jatom
ELSE
nl_table_key = natom*task%jatom+task%iatom
ENDIF
CALL nl_hash_table_add(nl_hash_table, nl_table_key, task)
END DO
CALL neighbor_list_iterator_release(nl_iterator)
! Get the total number of (possibly empty) entries in the table
CALL nl_hash_table_status(nl_hash_table, nmax=nl_table_num_slots)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(nl_table_num_slots, nl_hash_table &
!$OMP , max_gau, max_nsgf, nspins, forces &
!$OMP , basis_set_list, nimages, cell_to_index &
!$OMP , ksmat, pmat, natom, nkind, qs_kind_set, oce &
!$OMP , rho_atom, factor, use_virial, atom_of_kind &
!$OMP , ldCPC, force &
!$OMP , locks &
!$OMP ) &
!$OMP PRIVATE( slot_num, is_entry_null, TASK, is_task_valid &
!$OMP , C_int_h, C_int_s, coc, a_matrix, p_matrix &
!$OMP , mat_h, mat_p, dCPC_h, dCPC_s, PC_h, PC_s &
!$OMP , ikind, jkind, iatom, jatom, cell_b &
!$OMP , basis_set_a, basis_set_b, img &
!$OMP , found, next_task &
!$OMP , kkind, orb_basis, paw_atom, nsetc, maxsoc &
!$OMP , iac, alist_ac, kac, n_cont_a, list_a &
!$OMP , ibc, alist_bc, kbc, n_cont_b, list_b &
!$OMP , katom, rho_at, nsoctot &
!$OMP , C_coeff_hh_a, C_coeff_ss_a, dista, rac &
!$OMP , C_coeff_hh_b, C_coeff_ss_b, distb, rbc &
!$OMP , ia_kind, ja_kind, ka_kind, force_tmp &
!$OMP ) &
!$OMP REDUCTION(+:pv_virial_thread &
!$OMP )
ALLOCATE (C_int_h(max_gau*max_nsgf), C_int_s(max_gau*max_nsgf), coc(max_gau*max_gau), &
a_matrix(max_gau, max_gau), p_matrix(max_nsgf, max_nsgf))
ALLOCATE (mat_h(nspins), mat_p(nspins))
DO ispin = 1, nspins
NULLIFY (mat_h(ispin)%array, mat_p(ispin)%array)
END DO
IF (forces) THEN
ALLOCATE (dCPC_h(max_gau, max_gau), dCPC_s(max_gau, max_gau), &
PC_h(max_nsgf, max_gau, nspins), PC_s(max_nsgf, max_gau, nspins))
!$OMP SINGLE
!$ ALLOCATE (locks(natom*nkind))
!$OMP END SINGLE
!$OMP DO
!$ do lock_num = 1, natom*nkind
!$ call omp_init_lock(locks(lock_num))
!$ end do
!$OMP END DO
END IF
! Dynamic schedule to take account of the fact that some slots may be empty
! or contain 1 or more tasks
!$OMP DO SCHEDULE(DYNAMIC,5)
DO slot_num = 1, nl_table_num_slots
CALL nl_hash_table_is_null(nl_hash_table, slot_num, is_entry_null)
IF (.NOT. is_entry_null) THEN
CALL nl_hash_table_get_from_index(nl_hash_table, slot_num, task)
is_task_valid = ASSOCIATED(task)
DO WHILE (is_task_valid)
ikind = task%ikind
jkind = task%jkind
iatom = task%iatom
jatom = task%jatom
cell_b(:) = task%cell(:)
basis_set_a => basis_set_list(ikind)%gto_basis_set
IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
basis_set_b => basis_set_list(jkind)%gto_basis_set
IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
IF (nimages > 1) THEN
img = cell_to_index(cell_b(1), cell_b(2), cell_b(3))
CPASSERT(img > 0)
ELSE
img = 1
END IF
DO ispin = 1, nspins
NULLIFY (mat_h(ispin)%array, mat_p(ispin)%array)
IF (iatom <= jatom) THEN
CALL dbcsr_get_block_p(matrix=ksmat(ispin, img)%matrix, &
row=iatom, col=jatom, &
BLOCK=mat_h(ispin)%array, found=found)
ELSE
CALL dbcsr_get_block_p(matrix=ksmat(ispin, img)%matrix, &
row=jatom, col=iatom, &
BLOCK=mat_h(ispin)%array, found=found)
END IF
IF (forces) THEN
IF (iatom <= jatom) THEN
CALL dbcsr_get_block_p(matrix=pmat(ispin, img)%matrix, &
row=iatom, col=jatom, &
BLOCK=mat_p(ispin)%array, found=found)
ELSE
CALL dbcsr_get_block_p(matrix=pmat(ispin, img)%matrix, &
row=jatom, col=iatom, &
BLOCK=mat_p(ispin)%array, found=found)
END IF
END IF
END DO
DO kkind = 1, nkind
CALL get_qs_kind(qs_kind_set(kkind), basis_set=orb_basis, paw_atom=paw_atom)
IF (.NOT. paw_atom) CYCLE
CALL get_gto_basis_set(gto_basis_set=orb_basis, nset=nsetc, maxso=maxsoc)
iac = ikind+nkind*(kkind-1)
ibc = jkind+nkind*(kkind-1)
IF (.NOT. ASSOCIATED(oce%intac(iac)%alist)) CYCLE
IF (.NOT. ASSOCIATED(oce%intac(ibc)%alist)) CYCLE
CALL get_alist(oce%intac(iac), alist_ac, iatom)
CALL get_alist(oce%intac(ibc), alist_bc, jatom)
IF (.NOT. ASSOCIATED(alist_ac)) CYCLE
IF (.NOT. ASSOCIATED(alist_bc)) CYCLE
DO kac = 1, alist_ac%nclist
DO kbc = 1, alist_bc%nclist
IF (alist_ac%clist(kac)%catom /= alist_bc%clist(kbc)%catom) CYCLE
IF (ALL(cell_b+alist_bc%clist(kbc)%cell-alist_ac%clist(kac)%cell == 0)) THEN
n_cont_a = alist_ac%clist(kac)%nsgf_cnt
n_cont_b = alist_bc%clist(kbc)%nsgf_cnt
IF (n_cont_a .EQ. 0 .OR. n_cont_b .EQ. 0) CYCLE
list_a => alist_ac%clist(kac)%sgf_list
list_b => alist_bc%clist(kbc)%sgf_list
katom = alist_ac%clist(kac)%catom
IF (iatom == katom .AND. ALL(alist_ac%clist(kac)%cell == 0)) THEN
C_coeff_hh_a => alist_ac%clist(kac)%achint
C_coeff_ss_a => alist_ac%clist(kac)%acint
dista = .FALSE.
ELSE
C_coeff_hh_a => alist_ac%clist(kac)%acint
C_coeff_ss_a => alist_ac%clist(kac)%acint
dista = .TRUE.
END IF
IF (jatom == katom .AND. ALL(alist_bc%clist(kbc)%cell == 0)) THEN
C_coeff_hh_b => alist_bc%clist(kbc)%achint
C_coeff_ss_b => alist_bc%clist(kbc)%acint
distb = .FALSE.
ELSE
C_coeff_hh_b => alist_bc%clist(kbc)%acint
C_coeff_ss_b => alist_bc%clist(kbc)%acint
distb = .TRUE.
END IF
rho_at => rho_atom(katom)
nsoctot = SIZE(C_coeff_ss_a, 2)
CALL add_vhxca_to_ks(mat_h, C_coeff_hh_a, C_coeff_hh_b, C_coeff_ss_a, C_coeff_ss_b, &
rho_at, nspins, iatom, jatom, nsoctot, factor, &
list_a, n_cont_a, list_b, n_cont_b, C_int_h, C_int_s, a_matrix, dista, distb, coc)
IF (forces) THEN
IF (use_virial) THEN
rac = alist_ac%clist(kac)%rac
rbc = alist_bc%clist(kbc)%rac
END IF
ia_kind = atom_of_kind(iatom)
ja_kind = atom_of_kind(jatom)
ka_kind = atom_of_kind(katom)
rho_at => rho_atom(katom)
force_tmp(1:3, 1:3) = 0.0_dp
IF (iatom <= jatom) THEN
CALL add_vhxca_forces(mat_p, C_coeff_hh_a, C_coeff_hh_b, C_coeff_ss_a, C_coeff_ss_b, &
rho_at, force_tmp, nspins, iatom, jatom, nsoctot, &
list_a, n_cont_a, list_b, n_cont_b, dCPC_h, dCPC_s, ldCPC, &
PC_h, PC_s, p_matrix)
!$ CALL omp_set_lock(locks((ka_kind-1)*nkind+kkind))
force(kkind)%vhxc_atom(1:3, ka_kind) = force(kkind)%vhxc_atom(1:3, ka_kind)+force_tmp(1:3, 3)
!$ CALL omp_unset_lock(locks((ka_kind-1)*nkind+kkind))
!$ CALL omp_set_lock(locks((ia_kind-1)*nkind+ikind))
force(ikind)%vhxc_atom(1:3, ia_kind) = force(ikind)%vhxc_atom(1:3, ia_kind)+force_tmp(1:3, 1)
!$ CALL omp_unset_lock(locks((ia_kind-1)*nkind+ikind))
!$ CALL omp_set_lock(locks((ja_kind-1)*nkind+jkind))
force(jkind)%vhxc_atom(1:3, ja_kind) = force(jkind)%vhxc_atom(1:3, ja_kind)+force_tmp(1:3, 2)
!$ CALL omp_unset_lock(locks((ja_kind-1)*nkind+jkind))
IF (use_virial) THEN
CALL virial_pair_force(pv_virial_thread, 1._dp, force_tmp(1:3, 1), rac)
CALL virial_pair_force(pv_virial_thread, 1._dp, force_tmp(1:3, 2), rbc)
END IF
ELSE
CALL add_vhxca_forces(mat_p, C_coeff_hh_b, C_coeff_hh_a, C_coeff_ss_b, C_coeff_ss_a, &
rho_at, force_tmp, nspins, jatom, iatom, nsoctot, &
list_b, n_cont_b, list_a, n_cont_a, dCPC_h, dCPC_s, ldCPC, &
PC_h, PC_s, p_matrix)
!$ CALL omp_set_lock(locks((ka_kind-1)*nkind+kkind))
force(kkind)%vhxc_atom(1:3, ka_kind) = force(kkind)%vhxc_atom(1:3, ka_kind)+force_tmp(1:3, 3)
!$ CALL omp_unset_lock(locks((ka_kind-1)*nkind+kkind))
!$ CALL omp_set_lock(locks((ia_kind-1)*nkind+ikind))
force(ikind)%vhxc_atom(1:3, ia_kind) = force(ikind)%vhxc_atom(1:3, ia_kind)+force_tmp(1:3, 2)
!$ CALL omp_unset_lock(locks((ia_kind-1)*nkind+ikind))
!$ CALL omp_set_lock(locks((ja_kind-1)*nkind+jkind))
force(jkind)%vhxc_atom(1:3, ja_kind) = force(jkind)%vhxc_atom(1:3, ja_kind)+force_tmp(1:3, 1)
!$ CALL omp_unset_lock(locks((ja_kind-1)*nkind+jkind))
IF (use_virial) THEN
CALL virial_pair_force(pv_virial_thread, 1._dp, force_tmp(1:3, 2), rac)
CALL virial_pair_force(pv_virial_thread, 1._dp, force_tmp(1:3, 1), rbc)
END IF
END IF
END IF
EXIT ! search loop over jatom-katom list
END IF
END DO ! kbc
END DO ! kac
ENDDO ! kkind
next_task => task%next
! We are done with this task, we can deallocate it
DEALLOCATE (task)
is_task_valid = ASSOCIATED(next_task)
IF (is_task_valid) task => next_task
END DO
ELSE
! NO KEY/VALUE
ENDIF
END DO
!$OMP END DO
DO ispin = 1, nspins
NULLIFY (mat_h(ispin)%array, mat_p(ispin)%array)
END DO
DEALLOCATE (mat_h, mat_p, C_int_h, C_int_s, a_matrix, p_matrix, coc)
IF (forces) THEN
DEALLOCATE (dCPC_h, dCPC_s, PC_h, PC_s)
! Implicit barrier at end of OMP DO, so locks can be freed
!$OMP DO
!$ DO lock_num = 1, natom*nkind
!$ call omp_destroy_lock(locks(lock_num))
!$ END DO
!$OMP END DO
!$OMP SINGLE
!$ DEALLOCATE (locks)
!$OMP END SINGLE NOWAIT
END IF
!$OMP END PARALLEL
IF (use_virial) THEN
virial%pv_virial(1:3, 1:3) = virial%pv_virial(1:3, 1:3)+pv_virial_thread(1:3, 1:3)
END IF
CALL nl_hash_table_release(nl_hash_table)
DEALLOCATE (basis_set_list)
IF (forces) THEN
DEALLOCATE (atom_of_kind)
END IF
CALL timestop(handle)
END SUBROUTINE update_ks_atom
! **************************************************************************************************
!> \brief ...
!> \param mat_h ...
!> \param C_hh_a ...
!> \param C_hh_b ...
!> \param C_ss_a ...
!> \param C_ss_b ...
!> \param rho_atom ...
!> \param nspins ...
!> \param ia ...
!> \param ja ...
!> \param nsp ...
!> \param factor ...
!> \param lista ...
!> \param nconta ...
!> \param listb ...
!> \param ncontb ...
!> \param C_int_h ...
!> \param C_int_s ...
!> \param a_matrix ...
!> \param dista ...
!> \param distb ...
!> \param coc ...
! **************************************************************************************************
SUBROUTINE add_vhxca_to_ks(mat_h, C_hh_a, C_hh_b, C_ss_a, C_ss_b, &
rho_atom, nspins, ia, ja, nsp, factor, lista, nconta, listb, ncontb, &
C_int_h, C_int_s, a_matrix, dista, distb, coc)
TYPE(cp_2d_r_p_type), DIMENSION(:), POINTER :: mat_h
REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN) :: C_hh_a, C_hh_b, C_ss_a, C_ss_b
TYPE(rho_atom_type), INTENT(IN), POINTER :: rho_atom
INTEGER, INTENT(IN) :: nspins, ia, ja, nsp
REAL(KIND=dp), INTENT(IN) :: factor
INTEGER, DIMENSION(:), INTENT(IN) :: lista
INTEGER, INTENT(IN) :: nconta
INTEGER, DIMENSION(:), INTENT(IN) :: listb
INTEGER, INTENT(IN) :: ncontb
REAL(KIND=dp), DIMENSION(:), INTENT(OUT) :: C_int_h, C_int_s
REAL(dp), DIMENSION(:, :) :: a_matrix
LOGICAL, INTENT(IN) :: dista, distb
REAL(dp), DIMENSION(:) :: coc
CHARACTER(len=*), PARAMETER :: routineN = 'add_vhxca_to_ks', &
routineP = moduleN//':'//routineN
INTEGER :: i, ispin, j, k
REAL(KIND=dp), DIMENSION(:, :), POINTER :: h_block, int_hard, int_soft
TYPE(rho_atom_coeff), DIMENSION(:), POINTER :: int_local_h, int_local_s
NULLIFY (int_local_h, int_local_s, int_hard, int_soft)
CALL get_rho_atom(rho_atom=rho_atom, cpc_h=int_local_h, cpc_s=int_local_s)
DO ispin = 1, nspins
h_block => mat_h(ispin)%array
!
int_hard => int_local_h(ispin)%r_coef
int_soft => int_local_s(ispin)%r_coef
!
IF (ia <= ja) THEN
IF (dista .AND. distb) THEN
k = 0
DO i = 1, nsp
DO j = 1, nsp
k = k+1
coc(k) = int_hard(j, i)-int_soft(j, i)
END DO
END DO
CALL DGEMM('N', 'T', nsp, ncontb, nsp, 1.0_dp, coc, nsp, C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
0.0_dp, C_int_h(1), nsp)
CALL DGEMM('N', 'N', nconta, ncontb, nsp, factor, C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), &
C_int_h(1), nsp, 0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
ELSEIF (dista) THEN
CALL DGEMM('N', 'T', nsp, ncontb, nsp, 1.0_dp, int_hard(1, 1), SIZE(int_hard, 1), &
C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), 0.0_dp, coc(1), nsp)
CALL DGEMM('N', 'T', nsp, ncontb, nsp, -1.0_dp, int_soft(1, 1), SIZE(int_soft, 1), &
C_ss_b(1, 1, 1), SIZE(C_ss_b, 1), 1.0_dp, coc(1), nsp)
CALL DGEMM('N', 'N', nconta, ncontb, nsp, factor, C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), &
coc(1), nsp, 0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
ELSEIF (distb) THEN
CALL DGEMM('N', 'N', nconta, nsp, nsp, factor, C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), &
int_hard(1, 1), SIZE(int_hard, 1), 0.0_dp, coc(1), nconta)
CALL DGEMM('N', 'N', nconta, nsp, nsp, -factor, C_ss_a(1, 1, 1), SIZE(C_hh_a, 1), &
int_soft(1, 1), SIZE(int_soft, 1), 1.0_dp, coc(1), nconta)
CALL DGEMM('N', 'T', nconta, ncontb, nsp, 1.0_dp, coc(1), nconta, &
C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), 0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
ELSE
CALL DGEMM('N', 'T', nsp, ncontb, nsp, 1.0_dp, int_hard(1, 1), SIZE(int_hard, 1), &
C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
0.0_dp, C_int_h(1), nsp)
CALL DGEMM('N', 'T', nsp, ncontb, nsp, 1.0_dp, int_soft(1, 1), SIZE(int_soft, 1), &
C_ss_b(1, 1, 1), SIZE(C_ss_b, 1), &
0.0_dp, C_int_s(1), nsp)
CALL DGEMM('N', 'N', nconta, ncontb, nsp, factor, C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), &
C_int_h(1), nsp, &
0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
CALL DGEMM('N', 'N', nconta, ncontb, nsp, -factor, C_ss_a(1, 1, 1), SIZE(C_ss_a, 1), &
C_int_s(1), nsp, &
1.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
END IF
!
CALL alist_post_align_blk(a_matrix, SIZE(a_matrix, 1), h_block, SIZE(h_block, 1), &
lista, nconta, listb, ncontb)
ELSE
IF (dista .AND. distb) THEN
k = 0
DO i = 1, nsp
DO j = 1, nsp
k = k+1
coc(k) = int_hard(j, i)-int_soft(j, i)
END DO
END DO
CALL DGEMM('N', 'T', nsp, nconta, nsp, 1.0_dp, coc, nsp, C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), 0.0_dp, C_int_h(1), nsp)
CALL DGEMM('N', 'N', ncontb, nconta, nsp, factor, C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
C_int_h(1), nsp, 0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
ELSEIF (dista) THEN
CALL DGEMM('N', 'N', ncontb, nsp, nsp, factor, C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
int_hard(1, 1), SIZE(int_hard, 1), 0.0_dp, coc, ncontb)
CALL DGEMM('N', 'N', ncontb, nsp, nsp, -factor, C_ss_b(1, 1, 1), SIZE(C_ss_b, 1), &
int_soft(1, 1), SIZE(int_soft, 1), 1.0_dp, coc, ncontb)
CALL DGEMM('N', 'T', ncontb, nconta, nsp, 1.0_dp, coc, ncontb, &
C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), 0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
ELSEIF (distb) THEN
CALL DGEMM('N', 'T', nsp, nconta, nsp, 1.0_dp, int_hard(1, 1), SIZE(int_hard, 1), &
C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), 0.0_dp, coc(1), nsp)
CALL DGEMM('N', 'T', nsp, nconta, nsp, -1.0_dp, int_soft(1, 1), SIZE(int_soft, 1), &
C_ss_a(1, 1, 1), SIZE(C_ss_a, 1), 1.0_dp, coc(1), nsp)
CALL DGEMM('N', 'N', ncontb, nconta, nsp, factor, C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
coc(1), nsp, 0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
ELSE
CALL DGEMM('N', 'T', nsp, nconta, nsp, 1.0_dp, int_hard(1, 1), SIZE(int_hard, 1), &
C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), &
0.0_dp, C_int_h(1), nsp)
CALL DGEMM('N', 'T', nsp, nconta, nsp, 1.0_dp, int_soft(1, 1), SIZE(int_soft, 1), &
C_ss_a(1, 1, 1), SIZE(C_ss_a, 1), &
0.0_dp, C_int_s(1), nsp)
CALL DGEMM('N', 'N', ncontb, nconta, nsp, factor, C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
C_int_h(1), nsp, &
0.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
CALL DGEMM('N', 'N', ncontb, nconta, nsp, -factor, C_ss_b(1, 1, 1), SIZE(C_ss_b, 1), &
C_int_s(1), nsp, &
1.0_dp, a_matrix(1, 1), SIZE(a_matrix, 1))
END IF
!
CALL alist_post_align_blk(a_matrix, SIZE(a_matrix, 1), h_block, SIZE(h_block, 1), &
listb, ncontb, lista, nconta)
END IF
END DO
END SUBROUTINE add_vhxca_to_ks
! **************************************************************************************************
!> \brief ...
!> \param mat_p ...
!> \param C_hh_a ...
!> \param C_hh_b ...
!> \param C_ss_a ...
!> \param C_ss_b ...
!> \param rho_atom ...
!> \param force ...
!> \param nspins ...
!> \param ia ...
!> \param ja ...
!> \param nsp ...
!> \param lista ...
!> \param nconta ...
!> \param listb ...
!> \param ncontb ...
!> \param dCPC_h ...
!> \param dCPC_s ...
!> \param ldCPC ...
!> \param PC_h ...
!> \param PC_s ...
!> \param p_matrix ...
! **************************************************************************************************
SUBROUTINE add_vhxca_forces(mat_p, C_hh_a, C_hh_b, C_ss_a, C_ss_b, &
rho_atom, force, nspins, ia, ja, nsp, lista, nconta, listb, ncontb, &
dCPC_h, dCPC_s, ldCPC, PC_h, PC_s, p_matrix)
TYPE(cp_2d_r_p_type), DIMENSION(:), INTENT(IN), &
POINTER :: mat_p
REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN) :: C_hh_a, C_hh_b, C_ss_a, C_ss_b
TYPE(rho_atom_type), INTENT(IN), POINTER :: rho_atom
REAL(dp), DIMENSION(3, 3), INTENT(INOUT) :: force
INTEGER, INTENT(IN) :: nspins, ia, ja, nsp
INTEGER, DIMENSION(:), INTENT(IN) :: lista
INTEGER, INTENT(IN) :: nconta
INTEGER, DIMENSION(:), INTENT(IN) :: listb
INTEGER, INTENT(IN) :: ncontb
REAL(KIND=dp), DIMENSION(:, :) :: dCPC_h, dCPC_s
INTEGER, INTENT(IN) :: ldCPC
REAL(KIND=dp), DIMENSION(:, :, :) :: PC_h, PC_s
REAL(KIND=dp), DIMENSION(:, :) :: p_matrix
CHARACTER(len=*), PARAMETER :: routineN = 'add_vhxca_forces', &
routineP = moduleN//':'//routineN
INTEGER :: dir, ispin
REAL(dp), DIMENSION(:, :), POINTER :: int_hard, int_soft
REAL(KIND=dp) :: ieqj, trace
REAL(KIND=dp), DIMENSION(:, :), POINTER :: p_block
TYPE(rho_atom_coeff), DIMENSION(:), POINTER :: int_local_h, int_local_s
! if(dista.and.distb) we could also here use ChPCh = CsPCs
! *** factor 2 because only half of the pairs with ia =/ ja are considered
ieqj = 2.0_dp
IF (ia == ja) ieqj = 1.0_dp
NULLIFY (int_local_h, int_local_s, int_hard, int_soft)
CALL get_rho_atom(rho_atom=rho_atom, cpc_h=int_local_h, cpc_s=int_local_s)
DO ispin = 1, nspins
p_block => mat_p(ispin)%array
CALL alist_pre_align_blk(p_block, SIZE(p_block, 1), p_matrix, SIZE(p_matrix, 1), &
lista, nconta, listb, ncontb)
int_hard => int_local_h(ispin)%r_coef
int_soft => int_local_s(ispin)%r_coef
CALL DGEMM('N', 'N', nconta, nsp, ncontb, 1.0_dp, p_matrix(1, 1), SIZE(p_matrix, 1), &
C_hh_b(1, 1, 1), SIZE(C_hh_b, 1), &
0.0_dp, PC_h(1, 1, ispin), SIZE(PC_h, 1))
CALL DGEMM('N', 'N', nconta, nsp, ncontb, 1.0_dp, p_matrix(1, 1), SIZE(p_matrix, 1), &
C_ss_b(1, 1, 1), SIZE(C_ss_b, 1), &
0.0_dp, PC_s(1, 1, ispin), SIZE(PC_s, 1))
DO dir = 2, 4
CALL DGEMM('T', 'N', nsp, nsp, nconta, 1.0_dp, PC_h(1, 1, ispin), SIZE(PC_h, 1), &
C_hh_a(1, 1, dir), SIZE(C_hh_a, 1), &
0.0_dp, dCPC_h(1, 1), SIZE(dCPC_h, 1))
trace = trace_r_AxB(dCPC_h, ldCPC, int_hard, nsp, nsp, nsp)
force(dir-1, 3) = force(dir-1, 3)+ieqj*trace
force(dir-1, 1) = force(dir-1, 1)-ieqj*trace
CALL DGEMM('T', 'N', nsp, nsp, nconta, 1.0_dp, PC_s(1, 1, ispin), SIZE(PC_s, 1), &
C_ss_a(1, 1, dir), SIZE(C_ss_a, 1), &
0.0_dp, dCPC_s(1, 1), SIZE(dCPC_s, 1))
trace = trace_r_AxB(dCPC_s, ldCPC, int_soft, nsp, nsp, nsp)
force(dir-1, 3) = force(dir-1, 3)-ieqj*trace
force(dir-1, 1) = force(dir-1, 1)+ieqj*trace
END DO
! j-k contributions
CALL DGEMM('T', 'N', ncontb, nsp, nconta, 1.0_dp, p_matrix(1, 1), SIZE(p_matrix, 1), &
C_hh_a(1, 1, 1), SIZE(C_hh_a, 1), &
0.0_dp, PC_h(1, 1, ispin), SIZE(PC_h, 1))
CALL DGEMM('T', 'N', ncontb, nsp, nconta, 1.0_dp, p_matrix(1, 1), SIZE(p_matrix, 1), &
C_ss_a(1, 1, 1), SIZE(C_ss_a, 1), &
0.0_dp, PC_s(1, 1, ispin), SIZE(PC_s, 1))
DO dir = 2, 4
CALL DGEMM('T', 'N', nsp, nsp, ncontb, 1.0_dp, PC_h(1, 1, ispin), SIZE(PC_h, 1), &
C_hh_b(1, 1, dir), SIZE(C_hh_b, 1), &
0.0_dp, dCPC_h(1, 1), SIZE(dCPC_h, 1))
trace = trace_r_AxB(dCPC_h, ldCPC, int_hard, nsp, nsp, nsp)
force(dir-1, 3) = force(dir-1, 3)+ieqj*trace
force(dir-1, 2) = force(dir-1, 2)-ieqj*trace
CALL DGEMM('T', 'N', nsp, nsp, ncontb, 1.0_dp, PC_s(1, 1, ispin), SIZE(PC_s, 1), &
C_ss_b(1, 1, dir), SIZE(C_ss_b, 1), &
0.0_dp, dCPC_s(1, 1), SIZE(dCPC_s, 1))
trace = trace_r_AxB(dCPC_s, ldCPC, int_soft, nsp, nsp, nsp)
force(dir-1, 3) = force(dir-1, 3)-ieqj*trace
force(dir-1, 2) = force(dir-1, 2)+ieqj*trace
END DO
END DO !ispin
END SUBROUTINE add_vhxca_forces
END MODULE qs_ks_atom
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