LCOV - code coverage report
Current view: top level - src - response_solver.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:70636b1) Lines: 88.2 % 1385 1222
Test Date: 2026-02-11 07:00:35 Functions: 100.0 % 7 7

            Line data    Source code
       1              : !--------------------------------------------------------------------------------------------------!
       2              : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3              : !   Copyright 2000-2026 CP2K developers group <https://cp2k.org>                                   !
       4              : !                                                                                                  !
       5              : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6              : !--------------------------------------------------------------------------------------------------!
       7              : 
       8              : ! **************************************************************************************************
       9              : !> \brief Calculate the CPKS equation and the resulting forces
      10              : !> \par History
      11              : !>       03.2014 created
      12              : !>       09.2019 Moved from KG to Kohn-Sham
      13              : !>       11.2019 Moved from energy_correction
      14              : !>       08.2020 AO linear response solver [fbelle]
      15              : !> \author JGH
      16              : ! **************************************************************************************************
      17              : MODULE response_solver
      18              :    USE accint_weights_forces,           ONLY: accint_weight_force
      19              :    USE admm_methods,                    ONLY: admm_projection_derivative
      20              :    USE admm_types,                      ONLY: admm_type,&
      21              :                                               get_admm_env
      22              :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      23              :                                               get_atomic_kind
      24              :    USE cell_types,                      ONLY: cell_type
      25              :    USE cp_blacs_env,                    ONLY: cp_blacs_env_type
      26              :    USE cp_control_types,                ONLY: dft_control_type
      27              :    USE cp_dbcsr_api,                    ONLY: &
      28              :         dbcsr_add, dbcsr_copy, dbcsr_create, dbcsr_distribution_type, dbcsr_multiply, &
      29              :         dbcsr_p_type, dbcsr_release, dbcsr_scale, dbcsr_set, dbcsr_type, dbcsr_type_no_symmetry
      30              :    USE cp_dbcsr_cp2k_link,              ONLY: cp_dbcsr_alloc_block_from_nbl
      31              :    USE cp_dbcsr_operations,             ONLY: copy_dbcsr_to_fm,&
      32              :                                               copy_fm_to_dbcsr,&
      33              :                                               cp_dbcsr_sm_fm_multiply,&
      34              :                                               dbcsr_allocate_matrix_set,&
      35              :                                               dbcsr_deallocate_matrix_set
      36              :    USE cp_fm_struct,                    ONLY: cp_fm_struct_create,&
      37              :                                               cp_fm_struct_release,&
      38              :                                               cp_fm_struct_type
      39              :    USE cp_fm_types,                     ONLY: cp_fm_create,&
      40              :                                               cp_fm_init_random,&
      41              :                                               cp_fm_release,&
      42              :                                               cp_fm_set_all,&
      43              :                                               cp_fm_to_fm,&
      44              :                                               cp_fm_type
      45              :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      46              :                                               cp_logger_get_default_unit_nr,&
      47              :                                               cp_logger_type
      48              :    USE ec_env_types,                    ONLY: energy_correction_type
      49              :    USE ec_methods,                      ONLY: create_kernel,&
      50              :                                               ec_mos_init
      51              :    USE ec_orth_solver,                  ONLY: ec_response_ao
      52              :    USE exstates_types,                  ONLY: excited_energy_type
      53              :    USE hartree_local_methods,           ONLY: Vh_1c_gg_integrals,&
      54              :                                               init_coulomb_local
      55              :    USE hartree_local_types,             ONLY: hartree_local_create,&
      56              :                                               hartree_local_release,&
      57              :                                               hartree_local_type
      58              :    USE hfx_derivatives,                 ONLY: derivatives_four_center
      59              :    USE hfx_energy_potential,            ONLY: integrate_four_center
      60              :    USE hfx_ri,                          ONLY: hfx_ri_update_forces,&
      61              :                                               hfx_ri_update_ks
      62              :    USE hfx_types,                       ONLY: hfx_type
      63              :    USE input_constants,                 ONLY: &
      64              :         do_admm_aux_exch_func_none, ec_functional_ext, ec_ls_solver, ec_mo_solver, &
      65              :         kg_tnadd_atomic, kg_tnadd_embed, kg_tnadd_embed_ri, ls_s_sqrt_ns, ls_s_sqrt_proot, &
      66              :         ot_precond_full_all, ot_precond_full_kinetic, ot_precond_full_single, &
      67              :         ot_precond_full_single_inverse, ot_precond_none, ot_precond_s_inverse, precond_mlp, xc_none
      68              :    USE input_section_types,             ONLY: section_vals_get,&
      69              :                                               section_vals_get_subs_vals,&
      70              :                                               section_vals_type,&
      71              :                                               section_vals_val_get
      72              :    USE kg_correction,                   ONLY: kg_ekin_subset
      73              :    USE kg_environment_types,            ONLY: kg_environment_type
      74              :    USE kg_tnadd_mat,                    ONLY: build_tnadd_mat
      75              :    USE kinds,                           ONLY: default_string_length,&
      76              :                                               dp
      77              :    USE machine,                         ONLY: m_flush
      78              :    USE mathlib,                         ONLY: det_3x3
      79              :    USE message_passing,                 ONLY: mp_para_env_type
      80              :    USE mulliken,                        ONLY: ao_charges
      81              :    USE parallel_gemm_api,               ONLY: parallel_gemm
      82              :    USE particle_types,                  ONLY: particle_type
      83              :    USE physcon,                         ONLY: pascal
      84              :    USE pw_env_types,                    ONLY: pw_env_get,&
      85              :                                               pw_env_type
      86              :    USE pw_methods,                      ONLY: pw_axpy,&
      87              :                                               pw_copy,&
      88              :                                               pw_integral_ab,&
      89              :                                               pw_scale,&
      90              :                                               pw_transfer,&
      91              :                                               pw_zero
      92              :    USE pw_poisson_methods,              ONLY: pw_poisson_solve
      93              :    USE pw_poisson_types,                ONLY: pw_poisson_type
      94              :    USE pw_pool_types,                   ONLY: pw_pool_type
      95              :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      96              :                                               pw_r3d_rs_type
      97              :    USE qs_2nd_kernel_ao,                ONLY: build_dm_response
      98              :    USE qs_collocate_density,            ONLY: calculate_rho_elec
      99              :    USE qs_core_matrices,                ONLY: core_matrices,&
     100              :                                               kinetic_energy_matrix
     101              :    USE qs_density_matrices,             ONLY: calculate_whz_matrix,&
     102              :                                               calculate_wz_matrix
     103              :    USE qs_energy_types,                 ONLY: qs_energy_type
     104              :    USE qs_environment_types,            ONLY: get_qs_env,&
     105              :                                               qs_environment_type,&
     106              :                                               set_qs_env
     107              :    USE qs_force_types,                  ONLY: qs_force_type,&
     108              :                                               total_qs_force
     109              :    USE qs_gapw_densities,               ONLY: prepare_gapw_den
     110              :    USE qs_integrate_potential,          ONLY: integrate_v_core_rspace,&
     111              :                                               integrate_v_rspace
     112              :    USE qs_kind_types,                   ONLY: get_qs_kind,&
     113              :                                               get_qs_kind_set,&
     114              :                                               qs_kind_type
     115              :    USE qs_ks_atom,                      ONLY: update_ks_atom
     116              :    USE qs_ks_methods,                   ONLY: calc_rho_tot_gspace
     117              :    USE qs_ks_types,                     ONLY: qs_ks_env_type
     118              :    USE qs_linres_methods,               ONLY: linres_solver
     119              :    USE qs_linres_types,                 ONLY: linres_control_type
     120              :    USE qs_local_rho_types,              ONLY: local_rho_set_create,&
     121              :                                               local_rho_set_release,&
     122              :                                               local_rho_type
     123              :    USE qs_matrix_pools,                 ONLY: mpools_rebuild_fm_pools
     124              :    USE qs_mo_methods,                   ONLY: make_basis_sm
     125              :    USE qs_mo_types,                     ONLY: deallocate_mo_set,&
     126              :                                               get_mo_set,&
     127              :                                               mo_set_type
     128              :    USE qs_neighbor_list_types,          ONLY: neighbor_list_set_p_type
     129              :    USE qs_oce_types,                    ONLY: oce_matrix_type
     130              :    USE qs_overlap,                      ONLY: build_overlap_matrix
     131              :    USE qs_p_env_methods,                ONLY: p_env_create,&
     132              :                                               p_env_psi0_changed
     133              :    USE qs_p_env_types,                  ONLY: p_env_release,&
     134              :                                               qs_p_env_type
     135              :    USE qs_rho0_ggrid,                   ONLY: integrate_vhg0_rspace,&
     136              :                                               rho0_s_grid_create
     137              :    USE qs_rho0_methods,                 ONLY: init_rho0
     138              :    USE qs_rho_atom_methods,             ONLY: allocate_rho_atom_internals,&
     139              :                                               calculate_rho_atom_coeff
     140              :    USE qs_rho_types,                    ONLY: qs_rho_create,&
     141              :                                               qs_rho_get,&
     142              :                                               qs_rho_set,&
     143              :                                               qs_rho_type
     144              :    USE qs_vxc_atom,                     ONLY: calculate_vxc_atom,&
     145              :                                               calculate_xc_2nd_deriv_atom
     146              :    USE task_list_types,                 ONLY: task_list_type
     147              :    USE virial_methods,                  ONLY: one_third_sum_diag
     148              :    USE virial_types,                    ONLY: virial_type
     149              :    USE xtb_ehess,                       ONLY: xtb_coulomb_hessian
     150              :    USE xtb_ehess_force,                 ONLY: calc_xtb_ehess_force
     151              :    USE xtb_hab_force,                   ONLY: build_xtb_hab_force
     152              :    USE xtb_types,                       ONLY: get_xtb_atom_param,&
     153              :                                               xtb_atom_type
     154              : #include "./base/base_uses.f90"
     155              : 
     156              :    IMPLICIT NONE
     157              : 
     158              :    PRIVATE
     159              : 
     160              :    ! Global parameters
     161              : 
     162              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'response_solver'
     163              : 
     164              :    PUBLIC :: response_calculation, response_equation, response_force, response_force_xtb, &
     165              :              response_equation_new
     166              : 
     167              : ! **************************************************************************************************
     168              : 
     169              : CONTAINS
     170              : 
     171              : ! **************************************************************************************************
     172              : !> \brief Initializes solver of linear response equation for energy correction
     173              : !> \brief Call AO or MO based linear response solver for energy correction
     174              : !>
     175              : !> \param qs_env The quickstep environment
     176              : !> \param ec_env The energy correction environment
     177              : !> \param silent ...
     178              : !> \date    01.2020
     179              : !> \author  Fabian Belleflamme
     180              : ! **************************************************************************************************
     181          496 :    SUBROUTINE response_calculation(qs_env, ec_env, silent)
     182              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     183              :       TYPE(energy_correction_type), POINTER              :: ec_env
     184              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     185              : 
     186              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_calculation'
     187              : 
     188              :       INTEGER                                            :: handle, homo, ispin, nao, nao_aux, nmo, &
     189              :                                                             nocc, nspins, solver_method, unit_nr
     190              :       LOGICAL                                            :: should_stop
     191              :       REAL(KIND=dp)                                      :: focc
     192              :       TYPE(admm_type), POINTER                           :: admm_env
     193              :       TYPE(cp_blacs_env_type), POINTER                   :: blacs_env
     194              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
     195              :       TYPE(cp_fm_type)                                   :: sv
     196          496 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: cpmos, mo_occ
     197              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     198              :       TYPE(cp_logger_type), POINTER                      :: logger
     199          496 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s, matrix_s_aux, rho_ao
     200              :       TYPE(dft_control_type), POINTER                    :: dft_control
     201              :       TYPE(linres_control_type), POINTER                 :: linres_control
     202          496 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     203              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     204              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     205          496 :          POINTER                                         :: sab_orb
     206              :       TYPE(qs_energy_type), POINTER                      :: energy
     207              :       TYPE(qs_p_env_type), POINTER                       :: p_env
     208              :       TYPE(qs_rho_type), POINTER                         :: rho
     209              :       TYPE(section_vals_type), POINTER                   :: input, solver_section
     210              : 
     211          496 :       CALL timeset(routineN, handle)
     212              : 
     213          496 :       NULLIFY (admm_env, dft_control, energy, logger, matrix_s, matrix_s_aux, mo_coeff, mos, para_env, &
     214          496 :                rho_ao, sab_orb, solver_section)
     215              : 
     216              :       ! Get useful output unit
     217          496 :       logger => cp_get_default_logger()
     218          496 :       IF (logger%para_env%is_source()) THEN
     219          248 :          unit_nr = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
     220              :       ELSE
     221          248 :          unit_nr = -1
     222              :       END IF
     223              : 
     224              :       CALL get_qs_env(qs_env, &
     225              :                       dft_control=dft_control, &
     226              :                       input=input, &
     227              :                       matrix_s=matrix_s, &
     228              :                       para_env=para_env, &
     229          496 :                       sab_orb=sab_orb)
     230          496 :       nspins = dft_control%nspins
     231              : 
     232              :       ! initialize linres_control
     233              :       NULLIFY (linres_control)
     234          496 :       ALLOCATE (linres_control)
     235          496 :       linres_control%do_kernel = .TRUE.
     236              :       linres_control%lr_triplet = .FALSE.
     237              :       linres_control%converged = .FALSE.
     238          496 :       linres_control%energy_gap = 0.02_dp
     239              : 
     240              :       ! Read input
     241          496 :       solver_section => section_vals_get_subs_vals(input, "DFT%ENERGY_CORRECTION%RESPONSE_SOLVER")
     242          496 :       CALL section_vals_val_get(solver_section, "EPS", r_val=linres_control%eps)
     243          496 :       CALL section_vals_val_get(solver_section, "EPS_FILTER", r_val=linres_control%eps_filter)
     244          496 :       CALL section_vals_val_get(solver_section, "MAX_ITER", i_val=linres_control%max_iter)
     245          496 :       CALL section_vals_val_get(solver_section, "METHOD", i_val=solver_method)
     246          496 :       CALL section_vals_val_get(solver_section, "PRECONDITIONER", i_val=linres_control%preconditioner_type)
     247          496 :       CALL section_vals_val_get(solver_section, "RESTART", l_val=linres_control%linres_restart)
     248          496 :       CALL section_vals_val_get(solver_section, "RESTART_EVERY", i_val=linres_control%restart_every)
     249          496 :       CALL set_qs_env(qs_env, linres_control=linres_control)
     250              : 
     251              :       ! Write input section of response solver
     252          496 :       CALL response_solver_write_input(solver_section, linres_control, unit_nr, silent=silent)
     253              : 
     254              :       ! Allocate and initialize response density matrix Z,
     255              :       ! and the energy weighted response density matrix
     256              :       ! Template is the ground-state overlap matrix
     257          496 :       CALL dbcsr_allocate_matrix_set(ec_env%matrix_wz, nspins)
     258          496 :       CALL dbcsr_allocate_matrix_set(ec_env%matrix_z, nspins)
     259          994 :       DO ispin = 1, nspins
     260          498 :          ALLOCATE (ec_env%matrix_wz(ispin)%matrix)
     261          498 :          ALLOCATE (ec_env%matrix_z(ispin)%matrix)
     262              :          CALL dbcsr_create(ec_env%matrix_wz(ispin)%matrix, name="Wz MATRIX", &
     263          498 :                            template=matrix_s(1)%matrix)
     264              :          CALL dbcsr_create(ec_env%matrix_z(ispin)%matrix, name="Z MATRIX", &
     265          498 :                            template=matrix_s(1)%matrix)
     266          498 :          CALL cp_dbcsr_alloc_block_from_nbl(ec_env%matrix_wz(ispin)%matrix, sab_orb)
     267          498 :          CALL cp_dbcsr_alloc_block_from_nbl(ec_env%matrix_z(ispin)%matrix, sab_orb)
     268          498 :          CALL dbcsr_set(ec_env%matrix_wz(ispin)%matrix, 0.0_dp)
     269          994 :          CALL dbcsr_set(ec_env%matrix_z(ispin)%matrix, 0.0_dp)
     270              :       END DO
     271              : 
     272              :       ! MO solver requires MO's of the ground-state calculation,
     273              :       ! The MOs environment is not allocated if LS-DFT has been used.
     274              :       ! Introduce MOs here
     275              :       ! Remark: MOS environment also required for creation of p_env
     276          496 :       IF (dft_control%qs_control%do_ls_scf) THEN
     277              : 
     278              :          ! Allocate and initialize MO environment
     279           10 :          CALL ec_mos_init(qs_env, matrix_s(1)%matrix)
     280           10 :          CALL get_qs_env(qs_env, mos=mos, rho=rho)
     281              : 
     282              :          ! Get ground-state density matrix
     283           10 :          CALL qs_rho_get(rho, rho_ao=rho_ao)
     284              : 
     285           20 :          DO ispin = 1, nspins
     286              :             CALL get_mo_set(mo_set=mos(ispin), &
     287              :                             mo_coeff=mo_coeff, &
     288           10 :                             nmo=nmo, nao=nao, homo=homo)
     289              : 
     290           10 :             CALL cp_fm_set_all(mo_coeff, 0.0_dp)
     291           10 :             CALL cp_fm_init_random(mo_coeff, nmo)
     292              : 
     293           10 :             CALL cp_fm_create(sv, mo_coeff%matrix_struct, "SV")
     294              :             ! multiply times PS
     295              :             ! PS*C(:,1:nomo)+C(:,nomo+1:nmo) (nomo=NINT(nelectron/maxocc))
     296           10 :             CALL cp_dbcsr_sm_fm_multiply(matrix_s(1)%matrix, mo_coeff, sv, nmo)
     297           10 :             CALL cp_dbcsr_sm_fm_multiply(rho_ao(ispin)%matrix, sv, mo_coeff, homo)
     298           10 :             CALL cp_fm_release(sv)
     299              :             ! and ortho the result
     300           10 :             CALL make_basis_sm(mo_coeff, nmo, matrix_s(1)%matrix)
     301              : 
     302              :             ! rebuilds fm_pools
     303              :             ! originally done in qs_env_setup, only when mos associated
     304           10 :             NULLIFY (blacs_env)
     305           10 :             CALL get_qs_env(qs_env, blacs_env=blacs_env)
     306              :             CALL mpools_rebuild_fm_pools(qs_env%mpools, mos=mos, &
     307           40 :                                          blacs_env=blacs_env, para_env=para_env)
     308              :          END DO
     309              :       END IF
     310              : 
     311              :       ! initialize p_env
     312              :       ! Remark: mos environment is needed for this
     313          496 :       IF (ASSOCIATED(ec_env%p_env)) THEN
     314          230 :          CALL p_env_release(ec_env%p_env)
     315          230 :          DEALLOCATE (ec_env%p_env)
     316          230 :          NULLIFY (ec_env%p_env)
     317              :       END IF
     318         2480 :       ALLOCATE (ec_env%p_env)
     319              :       CALL p_env_create(ec_env%p_env, qs_env, orthogonal_orbitals=.TRUE., &
     320          496 :                         linres_control=linres_control)
     321          496 :       CALL p_env_psi0_changed(ec_env%p_env, qs_env)
     322              :       ! Total energy overwritten, replace with Etot from energy correction
     323          496 :       CALL get_qs_env(qs_env, energy=energy)
     324          496 :       energy%total = ec_env%etotal
     325              :       !
     326          496 :       p_env => ec_env%p_env
     327              :       !
     328          496 :       CALL dbcsr_allocate_matrix_set(p_env%p1, nspins)
     329          496 :       CALL dbcsr_allocate_matrix_set(p_env%w1, nspins)
     330          994 :       DO ispin = 1, nspins
     331          498 :          ALLOCATE (p_env%p1(ispin)%matrix, p_env%w1(ispin)%matrix)
     332          498 :          CALL dbcsr_create(matrix=p_env%p1(ispin)%matrix, template=matrix_s(1)%matrix)
     333          498 :          CALL dbcsr_create(matrix=p_env%w1(ispin)%matrix, template=matrix_s(1)%matrix)
     334          498 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%p1(ispin)%matrix, sab_orb)
     335          994 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%w1(ispin)%matrix, sab_orb)
     336              :       END DO
     337          496 :       IF (dft_control%do_admm) THEN
     338          114 :          CALL get_admm_env(qs_env%admm_env, matrix_s_aux_fit=matrix_s_aux)
     339          114 :          CALL dbcsr_allocate_matrix_set(p_env%p1_admm, nspins)
     340          228 :          DO ispin = 1, nspins
     341          114 :             ALLOCATE (p_env%p1_admm(ispin)%matrix)
     342              :             CALL dbcsr_create(p_env%p1_admm(ispin)%matrix, &
     343          114 :                               template=matrix_s_aux(1)%matrix)
     344          114 :             CALL dbcsr_copy(p_env%p1_admm(ispin)%matrix, matrix_s_aux(1)%matrix)
     345          228 :             CALL dbcsr_set(p_env%p1_admm(ispin)%matrix, 0.0_dp)
     346              :          END DO
     347              :       END IF
     348              : 
     349              :       ! Choose between MO-solver and AO-solver
     350          364 :       SELECT CASE (solver_method)
     351              :       CASE (ec_mo_solver)
     352              : 
     353              :          ! CPKS vector cpmos - RHS of response equation as Ax + b = 0 (sign of b)
     354              :          ! Sign is changed in linres_solver!
     355              :          ! Projector Q applied in linres_solver!
     356          364 :          IF (ASSOCIATED(ec_env%cpmos)) THEN
     357              : 
     358           26 :             CALL response_equation_new(qs_env, p_env, ec_env%cpmos, unit_nr, silent=silent)
     359              : 
     360              :          ELSE
     361          338 :             CALL get_qs_env(qs_env, mos=mos)
     362         2032 :             ALLOCATE (cpmos(nspins), mo_occ(nspins))
     363          678 :             DO ispin = 1, nspins
     364          340 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     365          340 :                NULLIFY (fm_struct)
     366              :                CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     367          340 :                                         template_fmstruct=mo_coeff%matrix_struct)
     368          340 :                CALL cp_fm_create(cpmos(ispin), fm_struct)
     369          340 :                CALL cp_fm_set_all(cpmos(ispin), 0.0_dp)
     370          340 :                CALL cp_fm_create(mo_occ(ispin), fm_struct)
     371          340 :                CALL cp_fm_to_fm(mo_coeff, mo_occ(ispin), nocc)
     372         1018 :                CALL cp_fm_struct_release(fm_struct)
     373              :             END DO
     374              : 
     375          338 :             focc = 2.0_dp
     376          338 :             IF (nspins == 1) focc = 4.0_dp
     377          678 :             DO ispin = 1, nspins
     378          340 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     379              :                CALL cp_dbcsr_sm_fm_multiply(ec_env%matrix_hz(ispin)%matrix, mo_occ(ispin), &
     380              :                                             cpmos(ispin), nocc, &
     381          678 :                                             alpha=focc, beta=0.0_dp)
     382              :             END DO
     383          338 :             CALL cp_fm_release(mo_occ)
     384              : 
     385          338 :             CALL response_equation_new(qs_env, p_env, cpmos, unit_nr, silent=silent)
     386              : 
     387          338 :             CALL cp_fm_release(cpmos)
     388              :          END IF
     389              : 
     390              :          ! Get the response density matrix,
     391              :          ! and energy-weighted response density matrix
     392          730 :          DO ispin = 1, nspins
     393          366 :             CALL dbcsr_copy(ec_env%matrix_z(ispin)%matrix, p_env%p1(ispin)%matrix)
     394          730 :             CALL dbcsr_copy(ec_env%matrix_wz(ispin)%matrix, p_env%w1(ispin)%matrix)
     395              :          END DO
     396              : 
     397              :       CASE (ec_ls_solver)
     398              : 
     399          132 :          IF (ec_env%energy_functional == ec_functional_ext) THEN
     400            0 :             CPABORT("AO Response Solver NYA for External Functional")
     401              :          END IF
     402              : 
     403              :          ! AO ortho solver
     404              :          CALL ec_response_ao(qs_env=qs_env, &
     405              :                              p_env=p_env, &
     406              :                              matrix_hz=ec_env%matrix_hz, &
     407              :                              matrix_pz=ec_env%matrix_z, &
     408              :                              matrix_wz=ec_env%matrix_wz, &
     409              :                              iounit=unit_nr, &
     410              :                              should_stop=should_stop, &
     411          132 :                              silent=silent)
     412              : 
     413          132 :          IF (dft_control%do_admm) THEN
     414           28 :             CALL get_qs_env(qs_env, admm_env=admm_env)
     415           28 :             CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
     416           28 :             CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
     417           28 :             CPASSERT(ASSOCIATED(admm_env%work_aux_aux))
     418           28 :             nao = admm_env%nao_orb
     419           28 :             nao_aux = admm_env%nao_aux_fit
     420           56 :             DO ispin = 1, nspins
     421           28 :                CALL copy_dbcsr_to_fm(ec_env%matrix_z(ispin)%matrix, admm_env%work_orb_orb)
     422              :                CALL parallel_gemm('N', 'N', nao_aux, nao, nao, &
     423              :                                   1.0_dp, admm_env%A, admm_env%work_orb_orb, 0.0_dp, &
     424           28 :                                   admm_env%work_aux_orb)
     425              :                CALL parallel_gemm('N', 'T', nao_aux, nao_aux, nao, &
     426              :                                   1.0_dp, admm_env%work_aux_orb, admm_env%A, 0.0_dp, &
     427           28 :                                   admm_env%work_aux_aux)
     428              :                CALL copy_fm_to_dbcsr(admm_env%work_aux_aux, p_env%p1_admm(ispin)%matrix, &
     429           56 :                                      keep_sparsity=.TRUE.)
     430              :             END DO
     431              :          END IF
     432              : 
     433              :       CASE DEFAULT
     434          628 :          CPABORT("Unknown solver for response equation requested")
     435              :       END SELECT
     436              : 
     437          496 :       IF (dft_control%do_admm) THEN
     438          114 :          CALL dbcsr_allocate_matrix_set(ec_env%z_admm, nspins)
     439          228 :          DO ispin = 1, nspins
     440          114 :             ALLOCATE (ec_env%z_admm(ispin)%matrix)
     441          114 :             CALL dbcsr_create(matrix=ec_env%z_admm(ispin)%matrix, template=matrix_s_aux(1)%matrix)
     442          114 :             CALL get_qs_env(qs_env, admm_env=admm_env)
     443          228 :             CALL dbcsr_copy(ec_env%z_admm(ispin)%matrix, p_env%p1_admm(ispin)%matrix)
     444              :          END DO
     445              :       END IF
     446              : 
     447              :       ! Get rid of MO environment again
     448          496 :       IF (dft_control%qs_control%do_ls_scf) THEN
     449           20 :          DO ispin = 1, nspins
     450           20 :             CALL deallocate_mo_set(mos(ispin))
     451              :          END DO
     452           10 :          IF (ASSOCIATED(qs_env%mos)) THEN
     453           20 :             DO ispin = 1, SIZE(qs_env%mos)
     454           20 :                CALL deallocate_mo_set(qs_env%mos(ispin))
     455              :             END DO
     456           10 :             DEALLOCATE (qs_env%mos)
     457              :          END IF
     458              :       END IF
     459              : 
     460          496 :       CALL timestop(handle)
     461              : 
     462          992 :    END SUBROUTINE response_calculation
     463              : 
     464              : ! **************************************************************************************************
     465              : !> \brief Parse the input section of the response solver
     466              : !> \param input Input section which controls response solver parameters
     467              : !> \param linres_control Environment for general setting of linear response calculation
     468              : !> \param unit_nr ...
     469              : !> \param silent ...
     470              : !> \par History
     471              : !>       2020.05 created [Fabian Belleflamme]
     472              : !> \author Fabian Belleflamme
     473              : ! **************************************************************************************************
     474          496 :    SUBROUTINE response_solver_write_input(input, linres_control, unit_nr, silent)
     475              :       TYPE(section_vals_type), POINTER                   :: input
     476              :       TYPE(linres_control_type), POINTER                 :: linres_control
     477              :       INTEGER, INTENT(IN)                                :: unit_nr
     478              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     479              : 
     480              :       CHARACTER(len=*), PARAMETER :: routineN = 'response_solver_write_input'
     481              : 
     482              :       INTEGER                                            :: handle, max_iter_lanczos, s_sqrt_method, &
     483              :                                                             s_sqrt_order, solver_method
     484              :       LOGICAL                                            :: my_silent
     485              :       REAL(KIND=dp)                                      :: eps_lanczos
     486              : 
     487          496 :       CALL timeset(routineN, handle)
     488              : 
     489          496 :       my_silent = .FALSE.
     490          496 :       IF (PRESENT(silent)) my_silent = silent
     491              : 
     492          496 :       IF (unit_nr > 0) THEN
     493              : 
     494              :          ! linres_control
     495              :          WRITE (unit_nr, '(/,T2,A)') &
     496          248 :             REPEAT("-", 30)//" Linear Response Solver "//REPEAT("-", 25)
     497              : 
     498          248 :          IF (.NOT. my_silent) THEN
     499              :             ! Which type of solver is used
     500          243 :             CALL section_vals_val_get(input, "METHOD", i_val=solver_method)
     501              : 
     502           66 :             SELECT CASE (solver_method)
     503              :             CASE (ec_ls_solver)
     504           66 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Solver: ", "AO-based CG-solver"
     505              :             CASE (ec_mo_solver)
     506          243 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Solver: ", "MO-based CG-solver"
     507              :             END SELECT
     508              : 
     509          243 :             WRITE (unit_nr, '(T2,A,T61,E20.3)') "eps:", linres_control%eps
     510          243 :             WRITE (unit_nr, '(T2,A,T61,E20.3)') "eps_filter:", linres_control%eps_filter
     511          243 :             WRITE (unit_nr, '(T2,A,T61,I20)') "Max iter:", linres_control%max_iter
     512              : 
     513          251 :             SELECT CASE (linres_control%preconditioner_type)
     514              :             CASE (ot_precond_full_all)
     515            8 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_ALL"
     516              :             CASE (ot_precond_full_single_inverse)
     517          169 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_SINGLE_INVERSE"
     518              :             CASE (ot_precond_full_single)
     519            0 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_SINGLE"
     520              :             CASE (ot_precond_full_kinetic)
     521            0 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_KINETIC"
     522              :             CASE (ot_precond_s_inverse)
     523            0 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_S_INVERSE"
     524              :             CASE (precond_mlp)
     525           65 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "MULTI_LEVEL"
     526              :             CASE (ot_precond_none)
     527          243 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "NONE"
     528              :             END SELECT
     529              : 
     530           66 :             SELECT CASE (solver_method)
     531              :             CASE (ec_ls_solver)
     532              : 
     533           66 :                CALL section_vals_val_get(input, "S_SQRT_METHOD", i_val=s_sqrt_method)
     534           66 :                CALL section_vals_val_get(input, "S_SQRT_ORDER", i_val=s_sqrt_order)
     535           66 :                CALL section_vals_val_get(input, "EPS_LANCZOS", r_val=eps_lanczos)
     536           66 :                CALL section_vals_val_get(input, "MAX_ITER_LANCZOS", i_val=max_iter_lanczos)
     537              : 
     538              :                ! Response solver transforms P and KS into orthonormal basis,
     539              :                ! reuires matrx S sqrt and its inverse
     540           66 :                SELECT CASE (s_sqrt_method)
     541              :                CASE (ls_s_sqrt_ns)
     542           66 :                   WRITE (unit_nr, '(T2,A,T61,A20)') "S sqrt method:", "NEWTONSCHULZ"
     543              :                CASE (ls_s_sqrt_proot)
     544            0 :                   WRITE (unit_nr, '(T2,A,T61,A20)') "S sqrt method:", "PROOT"
     545              :                CASE DEFAULT
     546           66 :                   CPABORT("Unknown sqrt method.")
     547              :                END SELECT
     548          309 :                WRITE (unit_nr, '(T2,A,T61,I20)') "S sqrt order:", s_sqrt_order
     549              : 
     550              :             CASE (ec_mo_solver)
     551              :             END SELECT
     552              : 
     553          243 :             WRITE (unit_nr, '(T2,A)') REPEAT("-", 79)
     554              : 
     555              :          END IF
     556              : 
     557          248 :          CALL m_flush(unit_nr)
     558              :       END IF
     559              : 
     560          496 :       CALL timestop(handle)
     561              : 
     562          496 :    END SUBROUTINE response_solver_write_input
     563              : 
     564              : ! **************************************************************************************************
     565              : !> \brief Initializes vectors for MO-coefficient based linear response solver
     566              : !>        and calculates response density, and energy-weighted response density matrix
     567              : !>
     568              : !> \param qs_env ...
     569              : !> \param p_env ...
     570              : !> \param cpmos ...
     571              : !> \param iounit ...
     572              : !> \param silent ...
     573              : ! **************************************************************************************************
     574          414 :    SUBROUTINE response_equation_new(qs_env, p_env, cpmos, iounit, silent)
     575              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     576              :       TYPE(qs_p_env_type)                                :: p_env
     577              :       TYPE(cp_fm_type), DIMENSION(:), INTENT(INOUT)      :: cpmos
     578              :       INTEGER, INTENT(IN)                                :: iounit
     579              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     580              : 
     581              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_equation_new'
     582              : 
     583              :       INTEGER                                            :: handle, ispin, nao, nao_aux, nocc, nspins
     584              :       LOGICAL                                            :: should_stop
     585              :       TYPE(admm_type), POINTER                           :: admm_env
     586              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
     587          414 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: psi0, psi1
     588              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     589          414 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ks, matrix_s
     590              :       TYPE(dft_control_type), POINTER                    :: dft_control
     591          414 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     592              : 
     593          414 :       CALL timeset(routineN, handle)
     594              : 
     595          414 :       NULLIFY (dft_control, matrix_ks, mo_coeff, mos)
     596              : 
     597              :       CALL get_qs_env(qs_env, dft_control=dft_control, matrix_ks=matrix_ks, &
     598          414 :                       matrix_s=matrix_s, mos=mos)
     599          414 :       nspins = dft_control%nspins
     600              : 
     601              :       ! Initialize vectors:
     602              :       ! psi0 : The ground-state MO-coefficients
     603              :       ! psi1 : The "perturbed" linear response orbitals
     604         2926 :       ALLOCATE (psi0(nspins), psi1(nspins))
     605          842 :       DO ispin = 1, nspins
     606          428 :          CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     607          428 :          NULLIFY (fm_struct)
     608              :          CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     609          428 :                                   template_fmstruct=mo_coeff%matrix_struct)
     610          428 :          CALL cp_fm_create(psi0(ispin), fm_struct)
     611          428 :          CALL cp_fm_to_fm(mo_coeff, psi0(ispin), nocc)
     612          428 :          CALL cp_fm_create(psi1(ispin), fm_struct)
     613          428 :          CALL cp_fm_set_all(psi1(ispin), 0.0_dp)
     614         1270 :          CALL cp_fm_struct_release(fm_struct)
     615              :       END DO
     616              : 
     617              :       should_stop = .FALSE.
     618              :       ! The response solver
     619              :       CALL linres_solver(p_env, qs_env, psi1, cpmos, psi0, iounit, &
     620          414 :                          should_stop, silent=silent)
     621              : 
     622              :       ! Building the response density matrix
     623          842 :       DO ispin = 1, nspins
     624          842 :          CALL dbcsr_copy(p_env%p1(ispin)%matrix, matrix_s(1)%matrix)
     625              :       END DO
     626          414 :       CALL build_dm_response(psi0, psi1, p_env%p1)
     627          842 :       DO ispin = 1, nspins
     628          842 :          CALL dbcsr_scale(p_env%p1(ispin)%matrix, 0.5_dp)
     629              :       END DO
     630              : 
     631          414 :       IF (dft_control%do_admm) THEN
     632          102 :          CALL get_qs_env(qs_env, admm_env=admm_env)
     633          102 :          CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
     634          102 :          CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
     635          102 :          CPASSERT(ASSOCIATED(admm_env%work_aux_aux))
     636          102 :          nao = admm_env%nao_orb
     637          102 :          nao_aux = admm_env%nao_aux_fit
     638          208 :          DO ispin = 1, nspins
     639          106 :             CALL copy_dbcsr_to_fm(p_env%p1(ispin)%matrix, admm_env%work_orb_orb)
     640              :             CALL parallel_gemm('N', 'N', nao_aux, nao, nao, &
     641              :                                1.0_dp, admm_env%A, admm_env%work_orb_orb, 0.0_dp, &
     642          106 :                                admm_env%work_aux_orb)
     643              :             CALL parallel_gemm('N', 'T', nao_aux, nao_aux, nao, &
     644              :                                1.0_dp, admm_env%work_aux_orb, admm_env%A, 0.0_dp, &
     645          106 :                                admm_env%work_aux_aux)
     646              :             CALL copy_fm_to_dbcsr(admm_env%work_aux_aux, p_env%p1_admm(ispin)%matrix, &
     647          208 :                                   keep_sparsity=.TRUE.)
     648              :          END DO
     649              :       END IF
     650              : 
     651              :       ! Calculate Wz = 0.5*(psi1*eps*psi0^T + psi0*eps*psi1^T)
     652          842 :       DO ispin = 1, nspins
     653              :          CALL calculate_wz_matrix(mos(ispin), psi1(ispin), matrix_ks(ispin)%matrix, &
     654          842 :                                   p_env%w1(ispin)%matrix)
     655              :       END DO
     656          842 :       DO ispin = 1, nspins
     657          842 :          CALL cp_fm_release(cpmos(ispin))
     658              :       END DO
     659          414 :       CALL cp_fm_release(psi1)
     660          414 :       CALL cp_fm_release(psi0)
     661              : 
     662          414 :       CALL timestop(handle)
     663              : 
     664          828 :    END SUBROUTINE response_equation_new
     665              : 
     666              : ! **************************************************************************************************
     667              : !> \brief Initializes vectors for MO-coefficient based linear response solver
     668              : !>        and calculates response density, and energy-weighted response density matrix
     669              : !>        J. Chem. Theory Comput. 2022, 18, 4186−4202 (https://doi.org/10.1021/acs.jctc.2c00144)
     670              : !>
     671              : !> \param qs_env ...
     672              : !> \param p_env Holds the two results of this routine, p_env%p1 = CZ^T + ZC^T,
     673              : !>              p_env%w1 = 0.5\sum_i(C_i*\epsilon_i*Z_i^T + Z_i*\epsilon_i*C_i^T)
     674              : !> \param cpmos RHS of equation as Ax + b = 0 (sign of b)
     675              : !> \param iounit ...
     676              : !> \param lr_section ...
     677              : !> \param silent ...
     678              : ! **************************************************************************************************
     679          652 :    SUBROUTINE response_equation(qs_env, p_env, cpmos, iounit, lr_section, silent)
     680              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     681              :       TYPE(qs_p_env_type)                                :: p_env
     682              :       TYPE(cp_fm_type), DIMENSION(:), POINTER            :: cpmos
     683              :       INTEGER, INTENT(IN)                                :: iounit
     684              :       TYPE(section_vals_type), OPTIONAL, POINTER         :: lr_section
     685              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     686              : 
     687              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'response_equation'
     688              : 
     689              :       INTEGER                                            :: handle, ispin, nao, nao_aux, nocc, nspins
     690              :       LOGICAL                                            :: should_stop
     691              :       TYPE(admm_type), POINTER                           :: admm_env
     692              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
     693          652 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: psi0, psi1
     694              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     695          652 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ks, matrix_s, matrix_s_aux
     696              :       TYPE(dft_control_type), POINTER                    :: dft_control
     697              :       TYPE(linres_control_type), POINTER                 :: linres_control
     698          652 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     699              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     700          652 :          POINTER                                         :: sab_orb
     701              : 
     702          652 :       CALL timeset(routineN, handle)
     703              : 
     704              :       ! initialized linres_control
     705              :       NULLIFY (linres_control)
     706          652 :       ALLOCATE (linres_control)
     707          652 :       linres_control%do_kernel = .TRUE.
     708              :       linres_control%lr_triplet = .FALSE.
     709          652 :       IF (PRESENT(lr_section)) THEN
     710          652 :          CALL section_vals_val_get(lr_section, "RESTART", l_val=linres_control%linres_restart)
     711          652 :          CALL section_vals_val_get(lr_section, "MAX_ITER", i_val=linres_control%max_iter)
     712          652 :          CALL section_vals_val_get(lr_section, "EPS", r_val=linres_control%eps)
     713          652 :          CALL section_vals_val_get(lr_section, "EPS_FILTER", r_val=linres_control%eps_filter)
     714          652 :          CALL section_vals_val_get(lr_section, "RESTART_EVERY", i_val=linres_control%restart_every)
     715          652 :          CALL section_vals_val_get(lr_section, "PRECONDITIONER", i_val=linres_control%preconditioner_type)
     716          652 :          CALL section_vals_val_get(lr_section, "ENERGY_GAP", r_val=linres_control%energy_gap)
     717              :       ELSE
     718              :          linres_control%linres_restart = .FALSE.
     719            0 :          linres_control%max_iter = 100
     720            0 :          linres_control%eps = 1.0e-10_dp
     721            0 :          linres_control%eps_filter = 1.0e-15_dp
     722            0 :          linres_control%restart_every = 50
     723            0 :          linres_control%preconditioner_type = ot_precond_full_single_inverse
     724            0 :          linres_control%energy_gap = 0.02_dp
     725              :       END IF
     726              : 
     727              :       ! initialized p_env
     728              :       CALL p_env_create(p_env, qs_env, orthogonal_orbitals=.TRUE., &
     729          652 :                         linres_control=linres_control)
     730          652 :       CALL set_qs_env(qs_env, linres_control=linres_control)
     731          652 :       CALL p_env_psi0_changed(p_env, qs_env)
     732          652 :       p_env%new_preconditioner = .TRUE.
     733              : 
     734          652 :       CALL get_qs_env(qs_env, dft_control=dft_control, mos=mos)
     735              :       !
     736          652 :       nspins = dft_control%nspins
     737              : 
     738              :       ! Initialize vectors:
     739              :       ! psi0 : The ground-state MO-coefficients
     740              :       ! psi1 : The "perturbed" linear response orbitals
     741         4780 :       ALLOCATE (psi0(nspins), psi1(nspins))
     742         1412 :       DO ispin = 1, nspins
     743          760 :          CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     744          760 :          NULLIFY (fm_struct)
     745              :          CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     746          760 :                                   template_fmstruct=mo_coeff%matrix_struct)
     747          760 :          CALL cp_fm_create(psi0(ispin), fm_struct)
     748          760 :          CALL cp_fm_to_fm(mo_coeff, psi0(ispin), nocc)
     749          760 :          CALL cp_fm_create(psi1(ispin), fm_struct)
     750          760 :          CALL cp_fm_set_all(psi1(ispin), 0.0_dp)
     751         2172 :          CALL cp_fm_struct_release(fm_struct)
     752              :       END DO
     753              : 
     754          652 :       should_stop = .FALSE.
     755              :       ! The response solver
     756          652 :       CALL get_qs_env(qs_env, matrix_s=matrix_s, sab_orb=sab_orb)
     757          652 :       CALL dbcsr_allocate_matrix_set(p_env%p1, nspins)
     758          652 :       CALL dbcsr_allocate_matrix_set(p_env%w1, nspins)
     759         1412 :       DO ispin = 1, nspins
     760          760 :          ALLOCATE (p_env%p1(ispin)%matrix, p_env%w1(ispin)%matrix)
     761          760 :          CALL dbcsr_create(matrix=p_env%p1(ispin)%matrix, template=matrix_s(1)%matrix)
     762          760 :          CALL dbcsr_create(matrix=p_env%w1(ispin)%matrix, template=matrix_s(1)%matrix)
     763          760 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%p1(ispin)%matrix, sab_orb)
     764         1412 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%w1(ispin)%matrix, sab_orb)
     765              :       END DO
     766          652 :       IF (dft_control%do_admm) THEN
     767          140 :          CALL get_admm_env(qs_env%admm_env, matrix_s_aux_fit=matrix_s_aux)
     768          140 :          CALL dbcsr_allocate_matrix_set(p_env%p1_admm, nspins)
     769          300 :          DO ispin = 1, nspins
     770          160 :             ALLOCATE (p_env%p1_admm(ispin)%matrix)
     771              :             CALL dbcsr_create(p_env%p1_admm(ispin)%matrix, &
     772          160 :                               template=matrix_s_aux(1)%matrix)
     773          160 :             CALL dbcsr_copy(p_env%p1_admm(ispin)%matrix, matrix_s_aux(1)%matrix)
     774          300 :             CALL dbcsr_set(p_env%p1_admm(ispin)%matrix, 0.0_dp)
     775              :          END DO
     776              :       END IF
     777              : 
     778              :       CALL linres_solver(p_env, qs_env, psi1, cpmos, psi0, iounit, &
     779          652 :                          should_stop, silent=silent)
     780              : 
     781              :       ! Building the response density matrix
     782         1412 :       DO ispin = 1, nspins
     783         1412 :          CALL dbcsr_copy(p_env%p1(ispin)%matrix, matrix_s(1)%matrix)
     784              :       END DO
     785          652 :       CALL build_dm_response(psi0, psi1, p_env%p1)
     786         1412 :       DO ispin = 1, nspins
     787         1412 :          CALL dbcsr_scale(p_env%p1(ispin)%matrix, 0.5_dp)
     788              :       END DO
     789          652 :       IF (dft_control%do_admm) THEN
     790          140 :          CALL get_qs_env(qs_env, admm_env=admm_env)
     791          140 :          CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
     792          140 :          CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
     793          140 :          CPASSERT(ASSOCIATED(admm_env%work_aux_aux))
     794          140 :          nao = admm_env%nao_orb
     795          140 :          nao_aux = admm_env%nao_aux_fit
     796          300 :          DO ispin = 1, nspins
     797          160 :             CALL copy_dbcsr_to_fm(p_env%p1(ispin)%matrix, admm_env%work_orb_orb)
     798              :             CALL parallel_gemm('N', 'N', nao_aux, nao, nao, &
     799              :                                1.0_dp, admm_env%A, admm_env%work_orb_orb, 0.0_dp, &
     800          160 :                                admm_env%work_aux_orb)
     801              :             CALL parallel_gemm('N', 'T', nao_aux, nao_aux, nao, &
     802              :                                1.0_dp, admm_env%work_aux_orb, admm_env%A, 0.0_dp, &
     803          160 :                                admm_env%work_aux_aux)
     804              :             CALL copy_fm_to_dbcsr(admm_env%work_aux_aux, p_env%p1_admm(ispin)%matrix, &
     805          300 :                                   keep_sparsity=.TRUE.)
     806              :          END DO
     807              :       END IF
     808              : 
     809              :       ! Calculate the second term of Eq. 51 Wz = 0.5*(psi1*eps*psi0^T + psi0*eps*psi1^T)
     810          652 :       CALL get_qs_env(qs_env, matrix_ks=matrix_ks)
     811         1412 :       DO ispin = 1, nspins
     812              :          CALL calculate_wz_matrix(mos(ispin), psi1(ispin), matrix_ks(ispin)%matrix, &
     813         1412 :                                   p_env%w1(ispin)%matrix)
     814              :       END DO
     815          652 :       CALL cp_fm_release(psi0)
     816          652 :       CALL cp_fm_release(psi1)
     817              : 
     818          652 :       CALL timestop(handle)
     819              : 
     820         1956 :    END SUBROUTINE response_equation
     821              : 
     822              : ! **************************************************************************************************
     823              : !> \brief ...
     824              : !> \param qs_env ...
     825              : !> \param vh_rspace ...
     826              : !> \param vxc_rspace ...
     827              : !> \param vtau_rspace ...
     828              : !> \param vadmm_rspace ...
     829              : !> \param matrix_hz Right-hand-side of linear response equation
     830              : !> \param matrix_pz Linear response density matrix
     831              : !> \param matrix_pz_admm Linear response density matrix in ADMM basis
     832              : !> \param matrix_wz Energy-weighted linear response density
     833              : !> \param zehartree Hartree volume response contribution to stress tensor
     834              : !> \param zexc XC volume response contribution to stress tensor
     835              : !> \param zexc_aux_fit ADMM XC volume response contribution to stress tensor
     836              : !> \param rhopz_r Response density on real space grid
     837              : !> \param p_env ...
     838              : !> \param ex_env ...
     839              : !> \param debug ...
     840              : ! **************************************************************************************************
     841         1132 :    SUBROUTINE response_force(qs_env, vh_rspace, vxc_rspace, vtau_rspace, vadmm_rspace, &
     842              :                              matrix_hz, matrix_pz, matrix_pz_admm, matrix_wz, &
     843         1132 :                              zehartree, zexc, zexc_aux_fit, rhopz_r, p_env, ex_env, debug)
     844              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     845              :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: vh_rspace
     846              :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: vxc_rspace, vtau_rspace, vadmm_rspace
     847              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_hz, matrix_pz, matrix_pz_admm, &
     848              :                                                             matrix_wz
     849              :       REAL(KIND=dp), OPTIONAL                            :: zehartree, zexc, zexc_aux_fit
     850              :       TYPE(pw_r3d_rs_type), DIMENSION(:), &
     851              :          INTENT(INOUT), OPTIONAL                         :: rhopz_r
     852              :       TYPE(qs_p_env_type), OPTIONAL                      :: p_env
     853              :       TYPE(excited_energy_type), OPTIONAL, POINTER       :: ex_env
     854              :       LOGICAL, INTENT(IN), OPTIONAL                      :: debug
     855              : 
     856              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'response_force'
     857              : 
     858              :       CHARACTER(LEN=default_string_length)               :: basis_type, unitstr
     859              :       INTEGER                                            :: handle, iounit, ispin, mspin, myfun, &
     860              :                                                             n_rep_hf, nao, nao_aux, natom, nder, &
     861              :                                                             nocc, nspins
     862              :       LOGICAL :: debug_forces, debug_stress, distribute_fock_matrix, do_ex, do_hfx, gapw, gapw_xc, &
     863              :          hfx_treat_lsd_in_core, resp_only, s_mstruct_changed, use_virial
     864              :       REAL(KIND=dp)                                      :: eh1, ehartree, ekin_mol, eps_filter, &
     865              :                                                             exc, exc_aux_fit, fconv, focc, &
     866              :                                                             hartree_gs, hartree_t
     867         1132 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: ftot1, ftot2, ftot3
     868              :       REAL(KIND=dp), DIMENSION(2)                        :: total_rho_gs, total_rho_t
     869              :       REAL(KIND=dp), DIMENSION(3)                        :: fodeb
     870              :       REAL(KIND=dp), DIMENSION(3, 3)                     :: h_stress, pv_loc, stdeb, sttot, sttot2
     871              :       TYPE(admm_type), POINTER                           :: admm_env
     872         1132 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     873              :       TYPE(cell_type), POINTER                           :: cell
     874              :       TYPE(cp_logger_type), POINTER                      :: logger
     875              :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
     876         1132 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ht, matrix_pd, matrix_pza, &
     877         1132 :                                                             matrix_s, mpa, scrm
     878         1132 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_h, matrix_p, mhd, mhx, mhy, mhz, &
     879         1132 :                                                             mpa2, mpd, mpz, scrm2
     880              :       TYPE(dbcsr_type), POINTER                          :: dbwork
     881              :       TYPE(dft_control_type), POINTER                    :: dft_control
     882              :       TYPE(hartree_local_type), POINTER                  :: hartree_local_gs, hartree_local_t
     883         1132 :       TYPE(hfx_type), DIMENSION(:, :), POINTER           :: x_data
     884              :       TYPE(kg_environment_type), POINTER                 :: kg_env
     885              :       TYPE(local_rho_type), POINTER                      :: local_rho_set_f, local_rho_set_gs, &
     886              :                                                             local_rho_set_t, local_rho_set_vxc, &
     887              :                                                             local_rhoz_set_admm
     888         1132 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     889              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     890              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     891         1132 :          POINTER                                         :: sab_aux_fit, sab_orb
     892              :       TYPE(oce_matrix_type), POINTER                     :: oce
     893         1132 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     894              :       TYPE(pw_c1d_gs_type) :: rho_tot_gspace, rho_tot_gspace_gs, rho_tot_gspace_t, &
     895              :          rhoz_tot_gspace, v_hartree_gspace_gs, v_hartree_gspace_t, zv_hartree_gspace
     896         1132 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g_aux, rho_g_gs, rho_g_t, rhoz_g, &
     897         1132 :                                                             rhoz_g_aux, rhoz_g_xc
     898              :       TYPE(pw_c1d_gs_type), POINTER                      :: rho_core
     899              :       TYPE(pw_env_type), POINTER                         :: pw_env
     900              :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     901              :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     902              :       TYPE(pw_r3d_rs_type)                               :: v_hartree_rspace_gs, v_hartree_rspace_t, &
     903              :                                                             vhxc_rspace, zv_hartree_rspace
     904         1132 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r_aux, rho_r_gs, rho_r_t, rhoz_r, &
     905         1132 :                                                             rhoz_r_aux, rhoz_r_xc, tau_r_aux, &
     906         1132 :                                                             tauz_r, tauz_r_xc, v_xc, v_xc_tau
     907         1132 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     908         1132 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     909              :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     910              :       TYPE(qs_rho_type), POINTER                         :: rho, rho0, rho1, rho_aux_fit, rho_xc
     911              :       TYPE(section_vals_type), POINTER                   :: hfx_section, xc_fun_section, xc_section
     912              :       TYPE(task_list_type), POINTER                      :: task_list, task_list_aux_fit
     913              :       TYPE(virial_type), POINTER                         :: virial
     914              : 
     915         1132 :       CALL timeset(routineN, handle)
     916              : 
     917         1132 :       IF (PRESENT(debug)) THEN
     918         1132 :          debug_forces = debug
     919         1132 :          debug_stress = debug
     920              :       ELSE
     921            0 :          debug_forces = .FALSE.
     922            0 :          debug_stress = .FALSE.
     923              :       END IF
     924              : 
     925         1132 :       logger => cp_get_default_logger()
     926         1132 :       IF (logger%para_env%is_source()) THEN
     927          566 :          iounit = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
     928              :       ELSE
     929              :          iounit = -1
     930              :       END IF
     931              : 
     932         1132 :       do_ex = .FALSE.
     933         1132 :       IF (PRESENT(ex_env)) do_ex = .TRUE.
     934              :       IF (do_ex) THEN
     935          636 :          CPASSERT(PRESENT(p_env))
     936              :       END IF
     937              : 
     938         1132 :       NULLIFY (ks_env, sab_orb, virial)
     939              :       CALL get_qs_env(qs_env=qs_env, &
     940              :                       cell=cell, &
     941              :                       force=force, &
     942              :                       ks_env=ks_env, &
     943              :                       dft_control=dft_control, &
     944              :                       para_env=para_env, &
     945              :                       sab_orb=sab_orb, &
     946         1132 :                       virial=virial)
     947         1132 :       nspins = dft_control%nspins
     948         1132 :       gapw = dft_control%qs_control%gapw
     949         1132 :       gapw_xc = dft_control%qs_control%gapw_xc
     950              : 
     951         1132 :       IF (debug_forces) THEN
     952          160 :          CALL get_qs_env(qs_env, natom=natom, atomic_kind_set=atomic_kind_set)
     953          480 :          ALLOCATE (ftot1(3, natom))
     954          160 :          CALL total_qs_force(ftot1, force, atomic_kind_set)
     955              :       END IF
     956              : 
     957              :       ! check for virial
     958         1132 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     959              : 
     960         1132 :       IF (use_virial .AND. do_ex) THEN
     961            0 :          CALL cp_abort(__LOCATION__, "Stress Tensor not available for TDDFT calculations.")
     962              :       END IF
     963              : 
     964         1132 :       fconv = 1.0E-9_dp*pascal/cell%deth
     965         1132 :       IF (debug_stress .AND. use_virial) THEN
     966            0 :          sttot = virial%pv_virial
     967              :       END IF
     968              : 
     969              :       !     *** If LSD, then combine alpha density and beta density to
     970              :       !     *** total density: alpha <- alpha + beta   and
     971         1132 :       NULLIFY (mpa)
     972         1132 :       NULLIFY (matrix_ht)
     973         1132 :       IF (do_ex) THEN
     974          636 :          CALL dbcsr_allocate_matrix_set(mpa, nspins)
     975         1380 :          DO ispin = 1, nspins
     976          744 :             ALLOCATE (mpa(ispin)%matrix)
     977          744 :             CALL dbcsr_create(mpa(ispin)%matrix, template=p_env%p1(ispin)%matrix)
     978          744 :             CALL dbcsr_copy(mpa(ispin)%matrix, p_env%p1(ispin)%matrix)
     979          744 :             CALL dbcsr_add(mpa(ispin)%matrix, ex_env%matrix_pe(ispin)%matrix, 1.0_dp, 1.0_dp)
     980         1380 :             CALL dbcsr_set(matrix_hz(ispin)%matrix, 0.0_dp)
     981              :          END DO
     982              :       ELSE
     983          496 :          mpa => matrix_pz
     984              :       END IF
     985              :       !
     986         1132 :       IF (do_ex .OR. (gapw .OR. gapw_xc)) THEN
     987          696 :          CALL dbcsr_allocate_matrix_set(matrix_ht, nspins)
     988         1502 :          DO ispin = 1, nspins
     989          806 :             ALLOCATE (matrix_ht(ispin)%matrix)
     990          806 :             CALL dbcsr_create(matrix_ht(ispin)%matrix, template=matrix_hz(ispin)%matrix)
     991          806 :             CALL dbcsr_copy(matrix_ht(ispin)%matrix, matrix_hz(ispin)%matrix)
     992         1938 :             CALL dbcsr_set(matrix_ht(ispin)%matrix, 0.0_dp)
     993              :          END DO
     994              :       END IF
     995              :       !
     996              :       ! START OF Tr[(P+Z)Hcore]
     997              :       !
     998              : 
     999              :       ! Kinetic energy matrix
    1000         1132 :       NULLIFY (scrm2)
    1001         1132 :       mpa2(1:nspins, 1:1) => mpa(1:nspins)
    1002              :       CALL kinetic_energy_matrix(qs_env, matrixkp_t=scrm2, matrix_p=mpa2, &
    1003              :                                  matrix_name="KINETIC ENERGY MATRIX", &
    1004              :                                  basis_type="ORB", &
    1005              :                                  sab_orb=sab_orb, calculate_forces=.TRUE., &
    1006         1132 :                                  debug_forces=debug_forces, debug_stress=debug_stress)
    1007         1132 :       CALL dbcsr_deallocate_matrix_set(scrm2)
    1008              : 
    1009              :       ! Initialize a matrix scrm, later used for scratch purposes
    1010         1132 :       CALL get_qs_env(qs_env=qs_env, matrix_s=matrix_s)
    1011         1132 :       NULLIFY (scrm)
    1012         1132 :       CALL dbcsr_allocate_matrix_set(scrm, nspins)
    1013         2374 :       DO ispin = 1, nspins
    1014         1242 :          ALLOCATE (scrm(ispin)%matrix)
    1015         1242 :          CALL dbcsr_create(scrm(ispin)%matrix, template=matrix_s(1)%matrix)
    1016         1242 :          CALL dbcsr_copy(scrm(ispin)%matrix, matrix_s(1)%matrix)
    1017         2374 :          CALL dbcsr_set(scrm(ispin)%matrix, 0.0_dp)
    1018              :       END DO
    1019              : 
    1020              :       CALL get_qs_env(qs_env, qs_kind_set=qs_kind_set, particle_set=particle_set, &
    1021         1132 :                       atomic_kind_set=atomic_kind_set)
    1022              : 
    1023         9276 :       ALLOCATE (matrix_p(nspins, 1), matrix_h(nspins, 1))
    1024         2374 :       DO ispin = 1, nspins
    1025         1242 :          matrix_p(ispin, 1)%matrix => mpa(ispin)%matrix
    1026         2374 :          matrix_h(ispin, 1)%matrix => scrm(ispin)%matrix
    1027              :       END DO
    1028         1132 :       matrix_h(1, 1)%matrix => scrm(1)%matrix
    1029              : 
    1030         1132 :       nder = 1
    1031              :       CALL core_matrices(qs_env, matrix_h, matrix_p, .TRUE., nder, &
    1032         1132 :                          debug_forces=debug_forces, debug_stress=debug_stress)
    1033              : 
    1034              :       ! Kim-Gordon subsystem DFT
    1035              :       ! Atomic potential for nonadditive kinetic energy contribution
    1036         1132 :       IF (dft_control%qs_control%do_kg) THEN
    1037           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_atomic) THEN
    1038           12 :             CALL get_qs_env(qs_env=qs_env, kg_env=kg_env, dbcsr_dist=dbcsr_dist)
    1039              : 
    1040           12 :             IF (use_virial) THEN
    1041          130 :                pv_loc = virial%pv_virial
    1042              :             END IF
    1043              : 
    1044           12 :             IF (debug_forces) fodeb(1:3) = force(1)%kinetic(1:3, 1)
    1045           12 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1046              :             CALL build_tnadd_mat(kg_env=kg_env, matrix_p=matrix_p, force=force, virial=virial, &
    1047              :                                  calculate_forces=.TRUE., use_virial=use_virial, &
    1048              :                                  qs_kind_set=qs_kind_set, atomic_kind_set=atomic_kind_set, &
    1049           12 :                                  particle_set=particle_set, sab_orb=sab_orb, dbcsr_dist=dbcsr_dist)
    1050           12 :             IF (debug_forces) THEN
    1051            0 :                fodeb(1:3) = force(1)%kinetic(1:3, 1) - fodeb(1:3)
    1052            0 :                CALL para_env%sum(fodeb)
    1053            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dTnadd  ", fodeb
    1054              :             END IF
    1055           12 :             IF (debug_stress .AND. use_virial) THEN
    1056            0 :                stdeb = fconv*(virial%pv_virial - stdeb)
    1057            0 :                CALL para_env%sum(stdeb)
    1058            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1059            0 :                   'STRESS| Pz*dTnadd   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1060              :             END IF
    1061              : 
    1062              :             ! Stress-tensor update components
    1063           12 :             IF (use_virial) THEN
    1064          130 :                virial%pv_ekinetic = virial%pv_ekinetic + (virial%pv_virial - pv_loc)
    1065              :             END IF
    1066              : 
    1067              :          END IF
    1068              :       END IF
    1069              : 
    1070         1132 :       DEALLOCATE (matrix_h)
    1071         1132 :       DEALLOCATE (matrix_p)
    1072         1132 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1073              : 
    1074              :       ! initialize src matrix
    1075              :       ! Necessary as build_kinetic_matrix will only allocate scrm(1)
    1076              :       ! and not scrm(2) in open-shell case
    1077         1132 :       NULLIFY (scrm)
    1078         1132 :       CALL dbcsr_allocate_matrix_set(scrm, nspins)
    1079         2374 :       DO ispin = 1, nspins
    1080         1242 :          ALLOCATE (scrm(ispin)%matrix)
    1081         1242 :          CALL dbcsr_create(scrm(ispin)%matrix, template=matrix_pz(1)%matrix)
    1082         1242 :          CALL dbcsr_copy(scrm(ispin)%matrix, matrix_pz(ispin)%matrix)
    1083         2374 :          CALL dbcsr_set(scrm(ispin)%matrix, 0.0_dp)
    1084              :       END DO
    1085              : 
    1086         1132 :       IF (debug_forces) THEN
    1087          480 :          ALLOCATE (ftot2(3, natom))
    1088          160 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    1089          640 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    1090          160 :          CALL para_env%sum(fodeb)
    1091          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dHcore", fodeb
    1092              :       END IF
    1093         1132 :       IF (debug_stress .AND. use_virial) THEN
    1094            0 :          stdeb = fconv*(virial%pv_virial - sttot)
    1095            0 :          CALL para_env%sum(stdeb)
    1096            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1097            0 :             'STRESS| Stress Pz*dHcore   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1098              :          ! save current total viral, does not contain volume terms yet
    1099            0 :          sttot2 = virial%pv_virial
    1100              :       END IF
    1101              :       !
    1102              :       ! END OF Tr(P+Z)Hcore
    1103              :       !
    1104              :       !
    1105              :       ! Vhxc (KS potentials calculated externally)
    1106         1132 :       CALL get_qs_env(qs_env, pw_env=pw_env)
    1107         1132 :       CALL pw_env_get(pw_env, auxbas_pw_pool=auxbas_pw_pool, poisson_env=poisson_env)
    1108              :       !
    1109         1132 :       IF (dft_control%do_admm) THEN
    1110          254 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1111          254 :          xc_section => admm_env%xc_section_primary
    1112              :       ELSE
    1113          878 :          xc_section => section_vals_get_subs_vals(qs_env%input, "DFT%XC")
    1114              :       END IF
    1115         1132 :       xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
    1116         1132 :       CALL section_vals_val_get(xc_fun_section, "_SECTION_PARAMETERS_", i_val=myfun)
    1117              :       !
    1118         1132 :       IF (gapw .OR. gapw_xc) THEN
    1119          210 :          NULLIFY (oce, sab_orb)
    1120          210 :          CALL get_qs_env(qs_env=qs_env, oce=oce, sab_orb=sab_orb)
    1121              :          ! set up local_rho_set for GS density
    1122          210 :          NULLIFY (local_rho_set_gs)
    1123          210 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1124          210 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    1125          210 :          CALL local_rho_set_create(local_rho_set_gs)
    1126              :          CALL allocate_rho_atom_internals(local_rho_set_gs%rho_atom_set, atomic_kind_set, &
    1127          210 :                                           qs_kind_set, dft_control, para_env)
    1128          210 :          CALL init_rho0(local_rho_set_gs, qs_env, dft_control%qs_control%gapw_control)
    1129          210 :          CALL rho0_s_grid_create(pw_env, local_rho_set_gs%rho0_mpole)
    1130              :          CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_gs%rho_atom_set, &
    1131          210 :                                        qs_kind_set, oce, sab_orb, para_env)
    1132          210 :          CALL prepare_gapw_den(qs_env, local_rho_set_gs, do_rho0=gapw)
    1133              :          ! set up local_rho_set for response density
    1134          210 :          NULLIFY (local_rho_set_t)
    1135          210 :          CALL local_rho_set_create(local_rho_set_t)
    1136              :          CALL allocate_rho_atom_internals(local_rho_set_t%rho_atom_set, atomic_kind_set, &
    1137          210 :                                           qs_kind_set, dft_control, para_env)
    1138              :          CALL init_rho0(local_rho_set_t, qs_env, dft_control%qs_control%gapw_control, &
    1139          210 :                         zcore=0.0_dp)
    1140          210 :          CALL rho0_s_grid_create(pw_env, local_rho_set_t%rho0_mpole)
    1141              :          CALL calculate_rho_atom_coeff(qs_env, mpa(:), local_rho_set_t%rho_atom_set, &
    1142          210 :                                        qs_kind_set, oce, sab_orb, para_env)
    1143          210 :          CALL prepare_gapw_den(qs_env, local_rho_set_t, do_rho0=gapw)
    1144              : 
    1145              :          ! compute soft GS potential
    1146         1474 :          ALLOCATE (rho_r_gs(nspins), rho_g_gs(nspins))
    1147          422 :          DO ispin = 1, nspins
    1148          212 :             CALL auxbas_pw_pool%create_pw(rho_r_gs(ispin))
    1149          422 :             CALL auxbas_pw_pool%create_pw(rho_g_gs(ispin))
    1150              :          END DO
    1151          210 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace_gs)
    1152              :          ! compute soft GS density
    1153          210 :          total_rho_gs = 0.0_dp
    1154          210 :          CALL pw_zero(rho_tot_gspace_gs)
    1155          422 :          DO ispin = 1, nspins
    1156              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=matrix_p(ispin, 1)%matrix, &
    1157              :                                     rho=rho_r_gs(ispin), &
    1158              :                                     rho_gspace=rho_g_gs(ispin), &
    1159              :                                     soft_valid=(gapw .OR. gapw_xc), &
    1160          212 :                                     total_rho=total_rho_gs(ispin))
    1161          422 :             CALL pw_axpy(rho_g_gs(ispin), rho_tot_gspace_gs)
    1162              :          END DO
    1163          210 :          IF (gapw) THEN
    1164          170 :             CALL get_qs_env(qs_env, natom=natom)
    1165              :             ! add rho0 contributions to GS density (only for Coulomb) only for gapw
    1166          170 :             CALL pw_axpy(local_rho_set_gs%rho0_mpole%rho0_s_gs, rho_tot_gspace_gs)
    1167          170 :             IF (ASSOCIATED(local_rho_set_gs%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1168            0 :                CALL pw_axpy(local_rho_set_gs%rho0_mpole%rhoz_cneo_s_gs, rho_tot_gspace_gs)
    1169              :             END IF
    1170          170 :             IF (dft_control%qs_control%gapw_control%nopaw_as_gpw) THEN
    1171            8 :                CALL get_qs_env(qs_env=qs_env, rho_core=rho_core)
    1172            8 :                CALL pw_axpy(rho_core, rho_tot_gspace_gs)
    1173              :             END IF
    1174              :             ! compute GS potential
    1175          170 :             CALL auxbas_pw_pool%create_pw(v_hartree_gspace_gs)
    1176          170 :             CALL auxbas_pw_pool%create_pw(v_hartree_rspace_gs)
    1177          170 :             NULLIFY (hartree_local_gs)
    1178          170 :             CALL hartree_local_create(hartree_local_gs)
    1179          170 :             CALL init_coulomb_local(hartree_local_gs, natom)
    1180          170 :             CALL pw_poisson_solve(poisson_env, rho_tot_gspace_gs, hartree_gs, v_hartree_gspace_gs)
    1181          170 :             CALL pw_transfer(v_hartree_gspace_gs, v_hartree_rspace_gs)
    1182          170 :             CALL pw_scale(v_hartree_rspace_gs, v_hartree_rspace_gs%pw_grid%dvol)
    1183              :          END IF
    1184              :       END IF
    1185              : 
    1186         1132 :       IF (gapw) THEN
    1187              :          ! Hartree grid PAW term
    1188          170 :          CPASSERT(.NOT. use_virial)
    1189          560 :          IF (debug_forces) fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1)
    1190              :          CALL Vh_1c_gg_integrals(qs_env, hartree_gs, hartree_local_gs%ecoul_1c, local_rho_set_t, para_env, tddft=.TRUE., &
    1191          170 :                                  local_rho_set_2nd=local_rho_set_gs, core_2nd=.FALSE.) ! n^core for GS potential
    1192              :          ! 1st to define integral space, 2nd for potential, integral contributions stored on local_rho_set_gs
    1193              :          CALL integrate_vhg0_rspace(qs_env, v_hartree_rspace_gs, para_env, calculate_forces=.TRUE., &
    1194          170 :                                     local_rho_set=local_rho_set_t, local_rho_set_2nd=local_rho_set_gs)
    1195          170 :          IF (debug_forces) THEN
    1196          520 :             fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1) - fodeb(1:3)
    1197          130 :             CALL para_env%sum(fodeb)
    1198          130 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVh[D^GS]PAWg0", fodeb
    1199              :          END IF
    1200              :       END IF
    1201         1132 :       IF (gapw .OR. gapw_xc) THEN
    1202          210 :          IF (myfun /= xc_none) THEN
    1203              :             ! add 1c hard and soft XC contributions
    1204          186 :             NULLIFY (local_rho_set_vxc)
    1205          186 :             CALL local_rho_set_create(local_rho_set_vxc)
    1206              :             CALL allocate_rho_atom_internals(local_rho_set_vxc%rho_atom_set, atomic_kind_set, &
    1207          186 :                                              qs_kind_set, dft_control, para_env)
    1208              :             CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_vxc%rho_atom_set, &
    1209          186 :                                           qs_kind_set, oce, sab_orb, para_env)
    1210          186 :             CALL prepare_gapw_den(qs_env, local_rho_set_vxc, do_rho0=.FALSE.)
    1211              :             ! compute hard and soft atomic contributions
    1212              :             CALL calculate_vxc_atom(qs_env, .FALSE., exc1=hartree_gs, xc_section_external=xc_section, &
    1213          186 :                                     rho_atom_set_external=local_rho_set_vxc%rho_atom_set)
    1214              :          END IF ! myfun
    1215              :       END IF ! gapw
    1216              : 
    1217         1132 :       CALL auxbas_pw_pool%create_pw(vhxc_rspace)
    1218              :       !
    1219              :       ! Stress-tensor: integration contribution direct term
    1220              :       ! int v_Hxc[n^in]*n^z
    1221         1132 :       IF (use_virial) THEN
    1222         2184 :          pv_loc = virial%pv_virial
    1223              :       END IF
    1224              : 
    1225         1612 :       IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1226         1132 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1227         1132 :       IF (gapw .OR. gapw_xc) THEN
    1228              :          ! vtot = v_xc + v_hartree
    1229          422 :          DO ispin = 1, nspins
    1230          212 :             CALL pw_zero(vhxc_rspace)
    1231          212 :             IF (gapw) THEN
    1232          172 :                CALL pw_transfer(v_hartree_rspace_gs, vhxc_rspace)
    1233           40 :             ELSEIF (gapw_xc) THEN
    1234           40 :                CALL pw_transfer(vh_rspace, vhxc_rspace)
    1235              :             END IF
    1236              :             CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1237              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1238              :                                     qs_env=qs_env, gapw=gapw, &
    1239          422 :                                     calculate_forces=.TRUE.)
    1240              :          END DO
    1241          210 :          IF (myfun /= xc_none) THEN
    1242          374 :             DO ispin = 1, nspins
    1243          188 :                CALL pw_zero(vhxc_rspace)
    1244          188 :                CALL pw_axpy(vxc_rspace(ispin), vhxc_rspace)
    1245              :                CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1246              :                                        hmat=scrm(ispin), pmat=mpa(ispin), &
    1247              :                                        qs_env=qs_env, gapw=(gapw .OR. gapw_xc), &
    1248          374 :                                        calculate_forces=.TRUE.)
    1249              :             END DO
    1250              :          END IF
    1251              :       ELSE ! original GPW with Standard Hartree as Potential
    1252         1952 :          DO ispin = 1, nspins
    1253         1030 :             CALL pw_transfer(vh_rspace, vhxc_rspace)
    1254         1030 :             CALL pw_axpy(vxc_rspace(ispin), vhxc_rspace)
    1255              :             CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1256              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1257         1952 :                                     qs_env=qs_env, gapw=gapw, calculate_forces=.TRUE.)
    1258              :          END DO
    1259              :       END IF
    1260              : 
    1261         1132 :       IF (debug_forces) THEN
    1262          640 :          fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1263          160 :          CALL para_env%sum(fodeb)
    1264          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVhxc[D^GS]   ", fodeb
    1265              :       END IF
    1266         1132 :       IF (debug_stress .AND. use_virial) THEN
    1267            0 :          stdeb = fconv*(virial%pv_virial - pv_loc)
    1268            0 :          CALL para_env%sum(stdeb)
    1269            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1270            0 :             'STRESS| INT Pz*dVhxc   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1271              :       END IF
    1272              : 
    1273         1132 :       IF (gapw .OR. gapw_xc) THEN
    1274              :          ! HXC term
    1275          678 :          IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1276          210 :          IF (gapw) CALL update_ks_atom(qs_env, scrm, mpa, forces=.TRUE., tddft=.FALSE., &
    1277          170 :                                        rho_atom_external=local_rho_set_gs%rho_atom_set)
    1278          210 :          IF (myfun /= xc_none) CALL update_ks_atom(qs_env, scrm, mpa, forces=.TRUE., tddft=.FALSE., &
    1279          186 :                                                    rho_atom_external=local_rho_set_vxc%rho_atom_set)
    1280          210 :          IF (debug_forces) THEN
    1281          624 :             fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1282          156 :             CALL para_env%sum(fodeb)
    1283          156 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVhxc[D^GS]PAW ", fodeb
    1284              :          END IF
    1285              :          ! release local environments for GAPW
    1286          210 :          IF (myfun /= xc_none) THEN
    1287          186 :             IF (ASSOCIATED(local_rho_set_vxc)) CALL local_rho_set_release(local_rho_set_vxc)
    1288              :          END IF
    1289          210 :          IF (ASSOCIATED(local_rho_set_gs)) CALL local_rho_set_release(local_rho_set_gs)
    1290          210 :          IF (gapw) THEN
    1291          170 :             IF (ASSOCIATED(hartree_local_gs)) CALL hartree_local_release(hartree_local_gs)
    1292          170 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_gspace_gs)
    1293          170 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_rspace_gs)
    1294              :          END IF
    1295          210 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace_gs)
    1296          210 :          IF (ASSOCIATED(rho_r_gs)) THEN
    1297          422 :             DO ispin = 1, nspins
    1298          422 :                CALL auxbas_pw_pool%give_back_pw(rho_r_gs(ispin))
    1299              :             END DO
    1300          210 :             DEALLOCATE (rho_r_gs)
    1301              :          END IF
    1302          210 :          IF (ASSOCIATED(rho_g_gs)) THEN
    1303          422 :             DO ispin = 1, nspins
    1304          422 :                CALL auxbas_pw_pool%give_back_pw(rho_g_gs(ispin))
    1305              :             END DO
    1306          210 :             DEALLOCATE (rho_g_gs)
    1307              :          END IF
    1308              :       END IF !gapw
    1309              : 
    1310         1132 :       IF (ASSOCIATED(vtau_rspace)) THEN
    1311           32 :          CPASSERT(.NOT. (gapw .OR. gapw_xc))
    1312           32 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1313           32 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1314           64 :          DO ispin = 1, nspins
    1315              :             CALL integrate_v_rspace(v_rspace=vtau_rspace(ispin), &
    1316              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1317              :                                     qs_env=qs_env, gapw=(gapw .OR. gapw_xc), &
    1318           96 :                                     calculate_forces=.TRUE., compute_tau=.TRUE.)
    1319              :          END DO
    1320           32 :          IF (debug_forces) THEN
    1321            0 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1322            0 :             CALL para_env%sum(fodeb)
    1323            0 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dVxc_tau   ", fodeb
    1324              :          END IF
    1325           32 :          IF (debug_stress .AND. use_virial) THEN
    1326            0 :             stdeb = fconv*(virial%pv_virial - pv_loc)
    1327            0 :             CALL para_env%sum(stdeb)
    1328            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1329            0 :                'STRESS| INT Pz*dVxc_tau   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1330              :          END IF
    1331              :       END IF
    1332         1132 :       CALL auxbas_pw_pool%give_back_pw(vhxc_rspace)
    1333              : 
    1334              :       ! Stress-tensor Pz*v_Hxc[Pin]
    1335         1132 :       IF (use_virial) THEN
    1336         2184 :          virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1337              :       END IF
    1338              : 
    1339              :       ! KG Embedding
    1340              :       ! calculate kinetic energy potential and integrate with response density
    1341         1132 :       IF (dft_control%qs_control%do_kg) THEN
    1342           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed .OR. &
    1343              :              qs_env%kg_env%tnadd_method == kg_tnadd_embed_ri) THEN
    1344              : 
    1345           12 :             ekin_mol = 0.0_dp
    1346           12 :             IF (use_virial) THEN
    1347          104 :                pv_loc = virial%pv_virial
    1348              :             END IF
    1349              : 
    1350           12 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1351              :             CALL kg_ekin_subset(qs_env=qs_env, &
    1352              :                                 ks_matrix=scrm, &
    1353              :                                 ekin_mol=ekin_mol, &
    1354              :                                 calc_force=.TRUE., &
    1355              :                                 do_kernel=.FALSE., &
    1356           12 :                                 pmat_ext=mpa)
    1357           12 :             IF (debug_forces) THEN
    1358            0 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1359            0 :                CALL para_env%sum(fodeb)
    1360            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dVkg   ", fodeb
    1361              :             END IF
    1362           12 :             IF (debug_stress .AND. use_virial) THEN
    1363              :                !IF (iounit > 0) WRITE(iounit, *) &
    1364              :                !   "response_force | VOL 1st KG - v_KG[n_in]*n_z: ", ekin_mol
    1365            0 :                stdeb = 1.0_dp*fconv*ekin_mol
    1366            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1367            0 :                   'STRESS| VOL KG Pz*dVKG ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1368              : 
    1369            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    1370            0 :                CALL para_env%sum(stdeb)
    1371            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1372            0 :                   'STRESS| INT KG Pz*dVKG  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1373              : 
    1374            0 :                stdeb = fconv*virial%pv_xc
    1375            0 :                CALL para_env%sum(stdeb)
    1376            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1377            0 :                   'STRESS| GGA KG Pz*dVKG  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1378              :             END IF
    1379           12 :             IF (use_virial) THEN
    1380              :                ! Direct integral contribution
    1381          104 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1382              :             END IF
    1383              : 
    1384              :          END IF ! tnadd_method
    1385              :       END IF ! do_kg
    1386              : 
    1387         1132 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1388              : 
    1389              :       !
    1390              :       ! Hartree potential of response density
    1391              :       !
    1392         8144 :       ALLOCATE (rhoz_r(nspins), rhoz_g(nspins))
    1393         2374 :       DO ispin = 1, nspins
    1394         1242 :          CALL auxbas_pw_pool%create_pw(rhoz_r(ispin))
    1395         2374 :          CALL auxbas_pw_pool%create_pw(rhoz_g(ispin))
    1396              :       END DO
    1397         1132 :       CALL auxbas_pw_pool%create_pw(rhoz_tot_gspace)
    1398         1132 :       CALL auxbas_pw_pool%create_pw(zv_hartree_rspace)
    1399         1132 :       CALL auxbas_pw_pool%create_pw(zv_hartree_gspace)
    1400              : 
    1401         1132 :       CALL pw_zero(rhoz_tot_gspace)
    1402         2374 :       DO ispin = 1, nspins
    1403              :          CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1404              :                                  rho=rhoz_r(ispin), rho_gspace=rhoz_g(ispin), &
    1405         1242 :                                  soft_valid=gapw)
    1406         2374 :          CALL pw_axpy(rhoz_g(ispin), rhoz_tot_gspace)
    1407              :       END DO
    1408         1132 :       IF (gapw_xc) THEN
    1409           40 :          NULLIFY (tauz_r_xc)
    1410          200 :          ALLOCATE (rhoz_r_xc(nspins), rhoz_g_xc(nspins))
    1411           80 :          DO ispin = 1, nspins
    1412           40 :             CALL auxbas_pw_pool%create_pw(rhoz_r_xc(ispin))
    1413           80 :             CALL auxbas_pw_pool%create_pw(rhoz_g_xc(ispin))
    1414              :          END DO
    1415           80 :          DO ispin = 1, nspins
    1416              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1417              :                                     rho=rhoz_r_xc(ispin), rho_gspace=rhoz_g_xc(ispin), &
    1418           80 :                                     soft_valid=gapw_xc)
    1419              :          END DO
    1420              :       END IF
    1421              : 
    1422         1132 :       IF (ASSOCIATED(vtau_rspace)) THEN
    1423           32 :          CPASSERT(.NOT. (gapw .OR. gapw_xc))
    1424              :          BLOCK
    1425              :             TYPE(pw_c1d_gs_type) :: work_g
    1426           96 :             ALLOCATE (tauz_r(nspins))
    1427           32 :             CALL auxbas_pw_pool%create_pw(work_g)
    1428           64 :             DO ispin = 1, nspins
    1429           32 :                CALL auxbas_pw_pool%create_pw(tauz_r(ispin))
    1430              :                CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1431              :                                        rho=tauz_r(ispin), rho_gspace=work_g, &
    1432           64 :                                        compute_tau=.TRUE.)
    1433              :             END DO
    1434           64 :             CALL auxbas_pw_pool%give_back_pw(work_g)
    1435              :          END BLOCK
    1436              :       END IF
    1437              : 
    1438              :       !
    1439         1132 :       IF (PRESENT(rhopz_r)) THEN
    1440          994 :          DO ispin = 1, nspins
    1441          994 :             CALL pw_copy(rhoz_r(ispin), rhopz_r(ispin))
    1442              :          END DO
    1443              :       END IF
    1444              : 
    1445         1132 :       IF (gapw_xc) THEN
    1446           40 :          CALL get_qs_env(qs_env=qs_env, rho_xc=rho_xc)
    1447              :       ELSE
    1448         1092 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1449              :       END IF
    1450              : 
    1451         1132 :       IF (dft_control%qs_control%gapw_control%accurate_xcint) THEN
    1452              :          ! GAPW Accurate integration
    1453          254 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1454           80 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1455           80 :          ALLOCATE (rho1)
    1456           80 :          CALL qs_rho_create(rho1)
    1457           80 :          IF (gapw_xc) THEN
    1458           12 :             CALL get_qs_env(qs_env=qs_env, rho_xc=rho0)
    1459           12 :             CALL qs_rho_set(rho1, rho_r=rhoz_r_xc, rho_g=rhoz_g_xc)
    1460              :          ELSE
    1461           68 :             CALL get_qs_env(qs_env=qs_env, rho=rho0)
    1462           68 :             CALL qs_rho_set(rho1, rho_r=rhoz_r, rho_g=rhoz_g)
    1463              :          END IF
    1464           80 :          CALL accint_weight_force(qs_env, rho0, rho1, 1, xc_section)
    1465           80 :          DEALLOCATE (rho1)
    1466           80 :          IF (debug_forces) THEN
    1467          232 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1468           58 :             CALL para_env%sum(fodeb)
    1469           58 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc*dw     ", fodeb
    1470              :          END IF
    1471           80 :          IF (debug_stress .AND. use_virial) THEN
    1472            0 :             stdeb = fconv*(virial%pv_virial - stdeb)
    1473            0 :             CALL para_env%sum(stdeb)
    1474            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1475            0 :                'STRESS| INT Pz*dVxc*dw     ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1476              :          END IF
    1477              :       END IF
    1478              : 
    1479              :       ! Stress-tensor contribution second derivative
    1480              :       ! Volume : int v_H[n^z]*n_in
    1481              :       ! Volume : int epsilon_xc*n_z
    1482         1132 :       IF (use_virial) THEN
    1483              : 
    1484          168 :          CALL get_qs_env(qs_env, rho=rho)
    1485          168 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace)
    1486              : 
    1487              :          ! Get the total input density in g-space [ions + electrons]
    1488          168 :          CALL calc_rho_tot_gspace(rho_tot_gspace, qs_env, rho)
    1489              : 
    1490          168 :          h_stress(:, :) = 0.0_dp
    1491              :          ! calculate associated hartree potential
    1492              :          ! This term appears twice in the derivation of the equations
    1493              :          ! v_H[n_in]*n_z and v_H[n_z]*n_in
    1494              :          ! due to symmetry we only need to call this routine once,
    1495              :          ! and count the Volume and Green function contribution
    1496              :          ! which is stored in h_stress twice
    1497              :          CALL pw_poisson_solve(poisson_env, &
    1498              :                                density=rhoz_tot_gspace, &     ! n_z
    1499              :                                ehartree=ehartree, &
    1500              :                                vhartree=zv_hartree_gspace, &  ! v_H[n_z]
    1501              :                                h_stress=h_stress, &
    1502          168 :                                aux_density=rho_tot_gspace)  ! n_in
    1503              : 
    1504          168 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace)
    1505              : 
    1506              :          ! Stress tensor Green function contribution
    1507         2184 :          virial%pv_ehartree = virial%pv_ehartree + 2.0_dp*h_stress/REAL(para_env%num_pe, dp)
    1508         2184 :          virial%pv_virial = virial%pv_virial + 2.0_dp*h_stress/REAL(para_env%num_pe, dp)
    1509              : 
    1510          168 :          IF (debug_stress) THEN
    1511            0 :             stdeb = -1.0_dp*fconv*ehartree
    1512            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1513            0 :                'STRESS| VOL 1st v_H[n_z]*n_in  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1514            0 :             stdeb = -1.0_dp*fconv*ehartree
    1515            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1516            0 :                'STRESS| VOL 2nd v_H[n_in]*n_z  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1517            0 :             stdeb = fconv*(h_stress/REAL(para_env%num_pe, dp))
    1518            0 :             CALL para_env%sum(stdeb)
    1519            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1520            0 :                'STRESS| GREEN 1st v_H[n_z]*n_in  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1521            0 :             stdeb = fconv*(h_stress/REAL(para_env%num_pe, dp))
    1522            0 :             CALL para_env%sum(stdeb)
    1523            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1524            0 :                'STRESS| GREEN 2nd v_H[n_in]*n_z   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1525              :          END IF
    1526              : 
    1527              :          ! Stress tensor volume term: \int v_xc[n_in]*n_z
    1528              :          ! vxc_rspace already scaled, we need to unscale it!
    1529          168 :          exc = 0.0_dp
    1530          336 :          DO ispin = 1, nspins
    1531              :             exc = exc + pw_integral_ab(rhoz_r(ispin), vxc_rspace(ispin))/ &
    1532          336 :                   vxc_rspace(ispin)%pw_grid%dvol
    1533              :          END DO
    1534          168 :          IF (ASSOCIATED(vtau_rspace)) THEN
    1535           32 :             DO ispin = 1, nspins
    1536              :                exc = exc + pw_integral_ab(tauz_r(ispin), vtau_rspace(ispin))/ &
    1537           32 :                      vtau_rspace(ispin)%pw_grid%dvol
    1538              :             END DO
    1539              :          END IF
    1540              : 
    1541              :          ! Add KG embedding correction
    1542          168 :          IF (dft_control%qs_control%do_kg) THEN
    1543           18 :             IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed .OR. &
    1544              :                 qs_env%kg_env%tnadd_method == kg_tnadd_embed_ri) THEN
    1545            8 :                exc = exc - ekin_mol
    1546              :             END IF
    1547              :          END IF
    1548              : 
    1549          168 :          IF (debug_stress) THEN
    1550            0 :             stdeb = -1.0_dp*fconv*exc
    1551            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1552            0 :                'STRESS| VOL 1st eps_XC[n_in]*n_z', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1553              :          END IF
    1554              : 
    1555              :       ELSE ! use_virial
    1556              : 
    1557              :          ! calculate associated hartree potential
    1558              :          ! contribution for both T and D^Z
    1559          964 :          IF (gapw) THEN
    1560          170 :             CALL pw_axpy(local_rho_set_t%rho0_mpole%rho0_s_gs, rhoz_tot_gspace)
    1561          170 :             IF (ASSOCIATED(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1562            0 :                CALL pw_axpy(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs, rhoz_tot_gspace)
    1563              :             END IF
    1564              :          END IF
    1565          964 :          CALL pw_poisson_solve(poisson_env, rhoz_tot_gspace, ehartree, zv_hartree_gspace)
    1566              : 
    1567              :       END IF ! use virial
    1568         1132 :       IF (gapw .OR. gapw_xc) THEN
    1569          210 :          IF (ASSOCIATED(local_rho_set_t)) CALL local_rho_set_release(local_rho_set_t)
    1570              :       END IF
    1571              : 
    1572         1612 :       IF (debug_forces) fodeb(1:3) = force(1)%rho_core(1:3, 1)
    1573         1132 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_ehartree
    1574         1132 :       CALL pw_transfer(zv_hartree_gspace, zv_hartree_rspace)
    1575         1132 :       CALL pw_scale(zv_hartree_rspace, zv_hartree_rspace%pw_grid%dvol)
    1576              :       ! Getting nuclear force contribution from the core charge density (not for GAPW)
    1577         1132 :       CALL integrate_v_core_rspace(zv_hartree_rspace, qs_env)
    1578         1132 :       IF (debug_forces) THEN
    1579          640 :          fodeb(1:3) = force(1)%rho_core(1:3, 1) - fodeb(1:3)
    1580          160 :          CALL para_env%sum(fodeb)
    1581          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Vh(rhoz)*dncore ", fodeb
    1582              :       END IF
    1583         1132 :       IF (debug_stress .AND. use_virial) THEN
    1584            0 :          stdeb = fconv*(virial%pv_ehartree - stdeb)
    1585            0 :          CALL para_env%sum(stdeb)
    1586            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1587            0 :             'STRESS| INT Vh(rhoz)*dncore   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1588              :       END IF
    1589              : 
    1590              :       !
    1591         1132 :       IF (gapw_xc) THEN
    1592           40 :          CALL get_qs_env(qs_env=qs_env, rho_xc=rho_xc)
    1593              :       ELSE
    1594         1092 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1595              :       END IF
    1596         1132 :       IF (dft_control%do_admm) THEN
    1597          254 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1598          254 :          xc_section => admm_env%xc_section_primary
    1599              :       ELSE
    1600          878 :          xc_section => section_vals_get_subs_vals(qs_env%input, "DFT%XC")
    1601              :       END IF
    1602              : 
    1603         1132 :       IF (use_virial) THEN
    1604         2184 :          virial%pv_xc = 0.0_dp
    1605              :       END IF
    1606              :       !
    1607         1132 :       NULLIFY (v_xc, v_xc_tau)
    1608         1132 :       IF (gapw_xc) THEN
    1609              :          CALL create_kernel(qs_env, vxc=v_xc, vxc_tau=v_xc_tau, &
    1610              :                             rho=rho_xc, rho1_r=rhoz_r_xc, rho1_g=rhoz_g_xc, tau1_r=tauz_r_xc, &
    1611           40 :                             xc_section=xc_section, compute_virial=use_virial, virial_xc=virial%pv_xc)
    1612              :       ELSE
    1613              :          CALL create_kernel(qs_env, vxc=v_xc, vxc_tau=v_xc_tau, &
    1614              :                             rho=rho, rho1_r=rhoz_r, rho1_g=rhoz_g, tau1_r=tauz_r, &
    1615         1092 :                             xc_section=xc_section, compute_virial=use_virial, virial_xc=virial%pv_xc)
    1616              :       END IF
    1617              : 
    1618         1132 :       IF (gapw .OR. gapw_xc) THEN
    1619              :          !get local_rho_set for GS density and response potential / density
    1620          210 :          NULLIFY (local_rho_set_t)
    1621          210 :          CALL local_rho_set_create(local_rho_set_t)
    1622              :          CALL allocate_rho_atom_internals(local_rho_set_t%rho_atom_set, atomic_kind_set, &
    1623          210 :                                           qs_kind_set, dft_control, para_env)
    1624              :          CALL init_rho0(local_rho_set_t, qs_env, dft_control%qs_control%gapw_control, &
    1625          210 :                         zcore=0.0_dp)
    1626          210 :          CALL rho0_s_grid_create(pw_env, local_rho_set_t%rho0_mpole)
    1627              :          CALL calculate_rho_atom_coeff(qs_env, mpa(:), local_rho_set_t%rho_atom_set, &
    1628          210 :                                        qs_kind_set, oce, sab_orb, para_env)
    1629          210 :          CALL prepare_gapw_den(qs_env, local_rho_set_t, do_rho0=gapw)
    1630          210 :          NULLIFY (local_rho_set_gs)
    1631          210 :          CALL local_rho_set_create(local_rho_set_gs)
    1632              :          CALL allocate_rho_atom_internals(local_rho_set_gs%rho_atom_set, atomic_kind_set, &
    1633          210 :                                           qs_kind_set, dft_control, para_env)
    1634          210 :          CALL init_rho0(local_rho_set_gs, qs_env, dft_control%qs_control%gapw_control)
    1635          210 :          CALL rho0_s_grid_create(pw_env, local_rho_set_gs%rho0_mpole)
    1636              :          CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_gs%rho_atom_set, &
    1637          210 :                                        qs_kind_set, oce, sab_orb, para_env)
    1638          210 :          CALL prepare_gapw_den(qs_env, local_rho_set_gs, do_rho0=gapw)
    1639              :          ! compute response potential
    1640         1054 :          ALLOCATE (rho_r_t(nspins), rho_g_t(nspins))
    1641          422 :          DO ispin = 1, nspins
    1642          212 :             CALL auxbas_pw_pool%create_pw(rho_r_t(ispin))
    1643          422 :             CALL auxbas_pw_pool%create_pw(rho_g_t(ispin))
    1644              :          END DO
    1645          210 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace_t)
    1646          210 :          total_rho_t = 0.0_dp
    1647          210 :          CALL pw_zero(rho_tot_gspace_t)
    1648          422 :          DO ispin = 1, nspins
    1649              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1650              :                                     rho=rho_r_t(ispin), &
    1651              :                                     rho_gspace=rho_g_t(ispin), &
    1652              :                                     soft_valid=gapw, &
    1653          212 :                                     total_rho=total_rho_t(ispin))
    1654          422 :             CALL pw_axpy(rho_g_t(ispin), rho_tot_gspace_t)
    1655              :          END DO
    1656              :          ! add rho0 contributions to response density (only for Coulomb) only for gapw
    1657          210 :          IF (gapw) THEN
    1658          170 :             CALL pw_axpy(local_rho_set_t%rho0_mpole%rho0_s_gs, rho_tot_gspace_t)
    1659          170 :             IF (ASSOCIATED(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1660            0 :                CALL pw_axpy(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs, rho_tot_gspace_t)
    1661              :             END IF
    1662              :             ! compute response Coulomb potential
    1663          170 :             CALL auxbas_pw_pool%create_pw(v_hartree_gspace_t)
    1664          170 :             CALL auxbas_pw_pool%create_pw(v_hartree_rspace_t)
    1665          170 :             NULLIFY (hartree_local_t)
    1666          170 :             CALL hartree_local_create(hartree_local_t)
    1667          170 :             CALL init_coulomb_local(hartree_local_t, natom)
    1668          170 :             CALL pw_poisson_solve(poisson_env, rho_tot_gspace_t, hartree_t, v_hartree_gspace_t)
    1669          170 :             CALL pw_transfer(v_hartree_gspace_t, v_hartree_rspace_t)
    1670          170 :             CALL pw_scale(v_hartree_rspace_t, v_hartree_rspace_t%pw_grid%dvol)
    1671              :             !
    1672          560 :             IF (debug_forces) fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1)
    1673              :             CALL Vh_1c_gg_integrals(qs_env, hartree_t, hartree_local_t%ecoul_1c, local_rho_set_gs, para_env, tddft=.FALSE., &
    1674          170 :                                     local_rho_set_2nd=local_rho_set_t, core_2nd=.TRUE.) ! n^core for GS potential
    1675              :             CALL integrate_vhg0_rspace(qs_env, v_hartree_rspace_t, para_env, calculate_forces=.TRUE., &
    1676          170 :                                        local_rho_set=local_rho_set_gs, local_rho_set_2nd=local_rho_set_t)
    1677          170 :             IF (debug_forces) THEN
    1678          520 :                fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1) - fodeb(1:3)
    1679          130 :                CALL para_env%sum(fodeb)
    1680          130 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Vh(T)*dncore PAWg0", fodeb
    1681              :             END IF
    1682              :          END IF !gapw
    1683              :       END IF !gapw
    1684              : 
    1685         1132 :       IF (gapw .OR. gapw_xc) THEN
    1686              :          !GAPW compute atomic fxc contributions
    1687          210 :          IF (myfun /= xc_none) THEN
    1688              :             ! local_rho_set_f
    1689          186 :             NULLIFY (local_rho_set_f)
    1690          186 :             CALL local_rho_set_create(local_rho_set_f)
    1691              :             CALL allocate_rho_atom_internals(local_rho_set_f%rho_atom_set, atomic_kind_set, &
    1692          186 :                                              qs_kind_set, dft_control, para_env)
    1693              :             CALL calculate_rho_atom_coeff(qs_env, mpa, local_rho_set_f%rho_atom_set, &
    1694          186 :                                           qs_kind_set, oce, sab_orb, para_env)
    1695          186 :             CALL prepare_gapw_den(qs_env, local_rho_set_f, do_rho0=.FALSE.)
    1696              :             ! add hard and soft atomic contributions
    1697              :             CALL calculate_xc_2nd_deriv_atom(local_rho_set_gs%rho_atom_set, &
    1698              :                                              local_rho_set_f%rho_atom_set, &
    1699              :                                              qs_env, xc_section, para_env, &
    1700          186 :                                              do_triplet=.FALSE.)
    1701              :          END IF ! myfun
    1702              :       END IF
    1703              : 
    1704              :       ! Stress-tensor XC-kernel GGA contribution
    1705         1132 :       IF (use_virial) THEN
    1706         2184 :          virial%pv_exc = virial%pv_exc + virial%pv_xc
    1707         2184 :          virial%pv_virial = virial%pv_virial + virial%pv_xc
    1708              :       END IF
    1709              : 
    1710         1132 :       IF (debug_stress .AND. use_virial) THEN
    1711            0 :          stdeb = 1.0_dp*fconv*virial%pv_xc
    1712            0 :          CALL para_env%sum(stdeb)
    1713            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1714            0 :             'STRESS| GGA 2nd Pin*dK*rhoz', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1715              :       END IF
    1716              : 
    1717              :       ! Stress-tensor integral contribution of 2nd derivative terms
    1718         1132 :       IF (use_virial) THEN
    1719         2184 :          pv_loc = virial%pv_virial
    1720              :       END IF
    1721              : 
    1722         1132 :       CALL get_qs_env(qs_env=qs_env, rho=rho)
    1723         1132 :       CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    1724         1132 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1725              : 
    1726         2374 :       DO ispin = 1, nspins
    1727         2374 :          CALL pw_scale(v_xc(ispin), v_xc(ispin)%pw_grid%dvol)
    1728              :       END DO
    1729         1132 :       IF ((.NOT. (gapw)) .AND. (.NOT. gapw_xc)) THEN
    1730          934 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1731         1952 :          DO ispin = 1, nspins
    1732         1030 :             CALL pw_axpy(zv_hartree_rspace, v_xc(ispin)) ! Hartree potential of response density
    1733              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1734              :                                     v_rspace=v_xc(ispin), &
    1735              :                                     hmat=matrix_hz(ispin), &
    1736              :                                     pmat=matrix_p(ispin, 1), &
    1737              :                                     gapw=.FALSE., &
    1738         1952 :                                     calculate_forces=.TRUE.)
    1739              :          END DO
    1740          922 :          IF (debug_forces) THEN
    1741           16 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1742            4 :             CALL para_env%sum(fodeb)
    1743            4 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKhxc*rhoz ", fodeb
    1744              :          END IF
    1745              :       ELSE
    1746          678 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1747          210 :          IF (myfun /= xc_none) THEN
    1748          374 :             DO ispin = 1, nspins
    1749              :                CALL integrate_v_rspace(qs_env=qs_env, &
    1750              :                                        v_rspace=v_xc(ispin), &
    1751              :                                        hmat=matrix_hz(ispin), &
    1752              :                                        pmat=matrix_p(ispin, 1), &
    1753              :                                        gapw=.TRUE., &
    1754          374 :                                        calculate_forces=.TRUE.)
    1755              :             END DO
    1756              :          END IF ! my_fun
    1757              :          ! Coulomb T+Dz
    1758          422 :          DO ispin = 1, nspins
    1759          212 :             CALL pw_zero(v_xc(ispin))
    1760          212 :             IF (gapw) THEN ! Hartree potential of response density
    1761          172 :                CALL pw_axpy(v_hartree_rspace_t, v_xc(ispin))
    1762           40 :             ELSEIF (gapw_xc) THEN
    1763           40 :                CALL pw_axpy(zv_hartree_rspace, v_xc(ispin))
    1764              :             END IF
    1765              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1766              :                                     v_rspace=v_xc(ispin), &
    1767              :                                     hmat=matrix_ht(ispin), &
    1768              :                                     pmat=matrix_p(ispin, 1), &
    1769              :                                     gapw=gapw, &
    1770          422 :                                     calculate_forces=.TRUE.)
    1771              :          END DO
    1772          210 :          IF (debug_forces) THEN
    1773          624 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1774          156 :             CALL para_env%sum(fodeb)
    1775          156 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKhxc*rhoz ", fodeb
    1776              :          END IF
    1777              :       END IF
    1778              : 
    1779         1132 :       IF (gapw .OR. gapw_xc) THEN
    1780              :          ! compute hard and soft atomic contributions
    1781          210 :          IF (myfun /= xc_none) THEN
    1782          582 :             IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1783              :             CALL update_ks_atom(qs_env, matrix_hz, matrix_p, forces=.TRUE., tddft=.FALSE., &
    1784          186 :                                 rho_atom_external=local_rho_set_f%rho_atom_set)
    1785          186 :             IF (debug_forces) THEN
    1786          528 :                fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1787          132 :                CALL para_env%sum(fodeb)
    1788          132 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: P^GS*dKxc*(Dz+T) PAW", fodeb
    1789              :             END IF
    1790              :          END IF !myfun
    1791              :          ! Coulomb contributions
    1792          210 :          IF (gapw) THEN
    1793          560 :             IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1794              :             CALL update_ks_atom(qs_env, matrix_ht, matrix_p, forces=.TRUE., tddft=.FALSE., &
    1795          170 :                                 rho_atom_external=local_rho_set_t%rho_atom_set)
    1796          170 :             IF (debug_forces) THEN
    1797          520 :                fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1798          130 :                CALL para_env%sum(fodeb)
    1799          130 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: P^GS*dKh*(Dz+T) PAW", fodeb
    1800              :             END IF
    1801              :          END IF
    1802              :          ! add Coulomb and XC
    1803          422 :          DO ispin = 1, nspins
    1804          422 :             CALL dbcsr_add(matrix_hz(ispin)%matrix, matrix_ht(ispin)%matrix, 1.0_dp, 1.0_dp)
    1805              :          END DO
    1806              : 
    1807              :          ! release
    1808          210 :          IF (myfun /= xc_none) THEN
    1809          186 :             IF (ASSOCIATED(local_rho_set_f)) CALL local_rho_set_release(local_rho_set_f)
    1810              :          END IF
    1811          210 :          IF (ASSOCIATED(local_rho_set_t)) CALL local_rho_set_release(local_rho_set_t)
    1812          210 :          IF (ASSOCIATED(local_rho_set_gs)) CALL local_rho_set_release(local_rho_set_gs)
    1813          210 :          IF (gapw) THEN
    1814          170 :             IF (ASSOCIATED(hartree_local_t)) CALL hartree_local_release(hartree_local_t)
    1815          170 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_gspace_t)
    1816          170 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_rspace_t)
    1817              :          END IF
    1818          210 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace_t)
    1819          422 :          DO ispin = 1, nspins
    1820          212 :             CALL auxbas_pw_pool%give_back_pw(rho_r_t(ispin))
    1821          422 :             CALL auxbas_pw_pool%give_back_pw(rho_g_t(ispin))
    1822              :          END DO
    1823          210 :          DEALLOCATE (rho_r_t, rho_g_t)
    1824              :       END IF ! gapw
    1825              : 
    1826         1132 :       IF (debug_stress .AND. use_virial) THEN
    1827            0 :          stdeb = fconv*(virial%pv_virial - stdeb)
    1828            0 :          CALL para_env%sum(stdeb)
    1829            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1830            0 :             'STRESS| INT 2nd f_Hxc[Pz]*Pin', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1831              :       END IF
    1832              :       !
    1833         1132 :       IF (ASSOCIATED(v_xc_tau)) THEN
    1834           32 :          CPASSERT(.NOT. (gapw .OR. gapw_xc))
    1835           32 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1836           32 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1837           64 :          DO ispin = 1, nspins
    1838           32 :             CALL pw_scale(v_xc_tau(ispin), v_xc_tau(ispin)%pw_grid%dvol)
    1839              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1840              :                                     v_rspace=v_xc_tau(ispin), &
    1841              :                                     hmat=matrix_hz(ispin), &
    1842              :                                     pmat=matrix_p(ispin, 1), &
    1843              :                                     compute_tau=.TRUE., &
    1844              :                                     gapw=(gapw .OR. gapw_xc), &
    1845           96 :                                     calculate_forces=.TRUE.)
    1846              :          END DO
    1847           32 :          IF (debug_forces) THEN
    1848            0 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1849            0 :             CALL para_env%sum(fodeb)
    1850            0 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKtau*tauz ", fodeb
    1851              :          END IF
    1852              :       END IF
    1853         1132 :       IF (debug_stress .AND. use_virial) THEN
    1854            0 :          stdeb = fconv*(virial%pv_virial - stdeb)
    1855            0 :          CALL para_env%sum(stdeb)
    1856            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1857            0 :             'STRESS| INT 2nd f_xctau[Pz]*Pin', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1858              :       END IF
    1859              :       ! Stress-tensor integral contribution of 2nd derivative terms
    1860         1132 :       IF (use_virial) THEN
    1861         2184 :          virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1862              :       END IF
    1863              : 
    1864              :       ! KG Embedding
    1865              :       ! calculate kinetic energy kernel, folded with response density for partial integration
    1866         1132 :       IF (dft_control%qs_control%do_kg) THEN
    1867           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed) THEN
    1868           12 :             ekin_mol = 0.0_dp
    1869           12 :             IF (use_virial) THEN
    1870          104 :                pv_loc = virial%pv_virial
    1871              :             END IF
    1872              : 
    1873           12 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1874          108 :             IF (use_virial) virial%pv_xc = 0.0_dp
    1875              :             CALL kg_ekin_subset(qs_env=qs_env, &
    1876              :                                 ks_matrix=matrix_hz, &
    1877              :                                 ekin_mol=ekin_mol, &
    1878              :                                 calc_force=.TRUE., &
    1879              :                                 do_kernel=.TRUE., &
    1880           12 :                                 pmat_ext=matrix_pz)
    1881              : 
    1882           12 :             IF (debug_forces) THEN
    1883            0 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1884            0 :                CALL para_env%sum(fodeb)
    1885            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*d(Kkg)*rhoz ", fodeb
    1886              :             END IF
    1887           12 :             IF (debug_stress .AND. use_virial) THEN
    1888            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    1889            0 :                CALL para_env%sum(stdeb)
    1890            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1891            0 :                   'STRESS| INT KG Pin*d(KKG)*rhoz    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1892              : 
    1893            0 :                stdeb = fconv*(virial%pv_xc)
    1894            0 :                CALL para_env%sum(stdeb)
    1895            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1896            0 :                   'STRESS| GGA KG Pin*d(KKG)*rhoz    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1897              :             END IF
    1898              : 
    1899              :             ! Stress tensor
    1900           12 :             IF (use_virial) THEN
    1901              :                ! XC-kernel Integral contribution
    1902          104 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1903              : 
    1904              :                ! XC-kernel GGA contribution
    1905          104 :                virial%pv_exc = virial%pv_exc - virial%pv_xc
    1906          104 :                virial%pv_virial = virial%pv_virial - virial%pv_xc
    1907          104 :                virial%pv_xc = 0.0_dp
    1908              :             END IF
    1909              :          END IF
    1910              :       END IF
    1911         1132 :       CALL auxbas_pw_pool%give_back_pw(rhoz_tot_gspace)
    1912         1132 :       CALL auxbas_pw_pool%give_back_pw(zv_hartree_gspace)
    1913         1132 :       CALL auxbas_pw_pool%give_back_pw(zv_hartree_rspace)
    1914         2374 :       DO ispin = 1, nspins
    1915         1242 :          CALL auxbas_pw_pool%give_back_pw(rhoz_r(ispin))
    1916         1242 :          CALL auxbas_pw_pool%give_back_pw(rhoz_g(ispin))
    1917         2374 :          CALL auxbas_pw_pool%give_back_pw(v_xc(ispin))
    1918              :       END DO
    1919         1132 :       DEALLOCATE (rhoz_r, rhoz_g, v_xc)
    1920         1132 :       IF (gapw_xc) THEN
    1921           80 :          DO ispin = 1, nspins
    1922           40 :             CALL auxbas_pw_pool%give_back_pw(rhoz_r_xc(ispin))
    1923           80 :             CALL auxbas_pw_pool%give_back_pw(rhoz_g_xc(ispin))
    1924              :          END DO
    1925           40 :          DEALLOCATE (rhoz_r_xc, rhoz_g_xc)
    1926              :       END IF
    1927         1132 :       IF (ASSOCIATED(v_xc_tau)) THEN
    1928           64 :       DO ispin = 1, nspins
    1929           32 :          CALL auxbas_pw_pool%give_back_pw(tauz_r(ispin))
    1930           64 :          CALL auxbas_pw_pool%give_back_pw(v_xc_tau(ispin))
    1931              :       END DO
    1932           32 :       DEALLOCATE (tauz_r, v_xc_tau)
    1933              :       END IF
    1934         1132 :       IF (debug_forces) THEN
    1935          480 :          ALLOCATE (ftot3(3, natom))
    1936          160 :          CALL total_qs_force(ftot3, force, atomic_kind_set)
    1937          640 :          fodeb(1:3) = ftot3(1:3, 1) - ftot2(1:3, 1)
    1938          160 :          CALL para_env%sum(fodeb)
    1939          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*V(rhoz)", fodeb
    1940              :       END IF
    1941         1132 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1942         1132 :       CALL dbcsr_deallocate_matrix_set(matrix_ht)
    1943              : 
    1944              :       ! -----------------------------------------
    1945              :       ! Apply ADMM exchange correction
    1946              :       ! -----------------------------------------
    1947              : 
    1948         1132 :       IF (dft_control%do_admm) THEN
    1949              :          ! volume term
    1950          254 :          exc_aux_fit = 0.0_dp
    1951              : 
    1952          254 :          IF (qs_env%admm_env%aux_exch_func == do_admm_aux_exch_func_none) THEN
    1953              :             ! nothing to do
    1954          112 :             NULLIFY (mpz, mhz, mhx, mhy)
    1955              :          ELSE
    1956              :             ! add ADMM xc_section_aux terms: Pz*Vxc + P0*K0[rhoz]
    1957          142 :             CALL get_qs_env(qs_env, admm_env=admm_env)
    1958              :             CALL get_admm_env(admm_env, rho_aux_fit=rho_aux_fit, matrix_s_aux_fit=scrm, &
    1959          142 :                               task_list_aux_fit=task_list_aux_fit)
    1960              :             !
    1961          142 :             NULLIFY (mpz, mhz, mhx, mhy)
    1962          142 :             CALL dbcsr_allocate_matrix_set(mhx, nspins, 1)
    1963          142 :             CALL dbcsr_allocate_matrix_set(mhy, nspins, 1)
    1964          142 :             CALL dbcsr_allocate_matrix_set(mpz, nspins, 1)
    1965          292 :             DO ispin = 1, nspins
    1966          150 :                ALLOCATE (mhx(ispin, 1)%matrix)
    1967          150 :                CALL dbcsr_create(mhx(ispin, 1)%matrix, template=scrm(1)%matrix)
    1968          150 :                CALL dbcsr_copy(mhx(ispin, 1)%matrix, scrm(1)%matrix)
    1969          150 :                CALL dbcsr_set(mhx(ispin, 1)%matrix, 0.0_dp)
    1970          150 :                ALLOCATE (mhy(ispin, 1)%matrix)
    1971          150 :                CALL dbcsr_create(mhy(ispin, 1)%matrix, template=scrm(1)%matrix)
    1972          150 :                CALL dbcsr_copy(mhy(ispin, 1)%matrix, scrm(1)%matrix)
    1973          150 :                CALL dbcsr_set(mhy(ispin, 1)%matrix, 0.0_dp)
    1974          150 :                ALLOCATE (mpz(ispin, 1)%matrix)
    1975          292 :                IF (do_ex) THEN
    1976           92 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=p_env%p1_admm(ispin)%matrix)
    1977           92 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, p_env%p1_admm(ispin)%matrix)
    1978              :                   CALL dbcsr_add(mpz(ispin, 1)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    1979           92 :                                  1.0_dp, 1.0_dp)
    1980              :                ELSE
    1981           58 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=matrix_pz_admm(ispin)%matrix)
    1982           58 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, matrix_pz_admm(ispin)%matrix)
    1983              :                END IF
    1984              :             END DO
    1985              :             !
    1986          142 :             xc_section => admm_env%xc_section_aux
    1987              :             ! Stress-tensor: integration contribution direct term
    1988              :             ! int Pz*v_xc[rho_admm]
    1989          142 :             IF (use_virial) THEN
    1990          260 :                pv_loc = virial%pv_virial
    1991              :             END IF
    1992              : 
    1993          142 :             basis_type = "AUX_FIT"
    1994          142 :             task_list => task_list_aux_fit
    1995          142 :             IF (admm_env%do_gapw) THEN
    1996           12 :                basis_type = "AUX_FIT_SOFT"
    1997           12 :                task_list => admm_env%admm_gapw_env%task_list
    1998              :             END IF
    1999              :             !
    2000          172 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2001          142 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2002          292 :             DO ispin = 1, nspins
    2003              :                CALL integrate_v_rspace(v_rspace=vadmm_rspace(ispin), &
    2004              :                                        hmat=mhx(ispin, 1), pmat=mpz(ispin, 1), &
    2005              :                                        qs_env=qs_env, calculate_forces=.TRUE., &
    2006          292 :                                        basis_type=basis_type, task_list_external=task_list)
    2007              :             END DO
    2008          142 :             IF (debug_forces) THEN
    2009           40 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2010           10 :                CALL para_env%sum(fodeb)
    2011           10 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc(rho_admm)", fodeb
    2012              :             END IF
    2013          142 :             IF (debug_stress .AND. use_virial) THEN
    2014            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    2015            0 :                CALL para_env%sum(stdeb)
    2016            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2017            0 :                   'STRESS| INT 1st Pz*dVxc(rho_admm)   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2018              :             END IF
    2019              :             ! Stress-tensor Pz_admm*v_xc[rho_admm]
    2020          142 :             IF (use_virial) THEN
    2021          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2022              :             END IF
    2023              :             !
    2024          142 :             IF (admm_env%do_gapw) THEN
    2025           12 :                CALL get_admm_env(admm_env, sab_aux_fit=sab_aux_fit)
    2026           42 :                IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    2027              :                CALL update_ks_atom(qs_env, mhx(:, 1), mpz(:, 1), forces=.TRUE., tddft=.FALSE., &
    2028              :                                    rho_atom_external=admm_env%admm_gapw_env%local_rho_set%rho_atom_set, &
    2029              :                                    kind_set_external=admm_env%admm_gapw_env%admm_kind_set, &
    2030              :                                    oce_external=admm_env%admm_gapw_env%oce, &
    2031           12 :                                    sab_external=sab_aux_fit)
    2032           12 :                IF (debug_forces) THEN
    2033           40 :                   fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    2034           10 :                   CALL para_env%sum(fodeb)
    2035           10 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc(rho_admm)PAW", fodeb
    2036              :                END IF
    2037              :             END IF
    2038              :             !
    2039          142 :             NULLIFY (rho_g_aux, rho_r_aux, tau_r_aux)
    2040          142 :             CALL qs_rho_get(rho_aux_fit, rho_r=rho_r_aux, rho_g=rho_g_aux, tau_r=tau_r_aux)
    2041              :             ! rhoz_aux
    2042          142 :             NULLIFY (rhoz_g_aux, rhoz_r_aux)
    2043         1010 :             ALLOCATE (rhoz_r_aux(nspins), rhoz_g_aux(nspins))
    2044          292 :             DO ispin = 1, nspins
    2045          150 :                CALL auxbas_pw_pool%create_pw(rhoz_r_aux(ispin))
    2046          292 :                CALL auxbas_pw_pool%create_pw(rhoz_g_aux(ispin))
    2047              :             END DO
    2048          292 :             DO ispin = 1, nspins
    2049              :                CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpz(ispin, 1)%matrix, &
    2050              :                                        rho=rhoz_r_aux(ispin), rho_gspace=rhoz_g_aux(ispin), &
    2051          292 :                                        basis_type=basis_type, task_list_external=task_list)
    2052              :             END DO
    2053              :             !
    2054              :             ! Add ADMM volume contribution to stress tensor
    2055          142 :             IF (use_virial) THEN
    2056              : 
    2057              :                ! Stress tensor volume term: \int v_xc[n_in_admm]*n_z_admm
    2058              :                ! vadmm_rspace already scaled, we need to unscale it!
    2059           40 :                DO ispin = 1, nspins
    2060              :                   exc_aux_fit = exc_aux_fit + pw_integral_ab(rhoz_r_aux(ispin), vadmm_rspace(ispin))/ &
    2061           40 :                                 vadmm_rspace(ispin)%pw_grid%dvol
    2062              :                END DO
    2063              : 
    2064           20 :                IF (debug_stress) THEN
    2065            0 :                   stdeb = -1.0_dp*fconv*exc_aux_fit
    2066            0 :                   IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T43,2(1X,ES19.11))") &
    2067            0 :                      'STRESS| VOL 1st eps_XC[n_in_admm]*n_z_admm', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2068              :                END IF
    2069              : 
    2070              :             END IF
    2071              :             !
    2072          142 :             NULLIFY (v_xc)
    2073              : 
    2074          382 :             IF (use_virial) virial%pv_xc = 0.0_dp
    2075              : 
    2076              :             CALL create_kernel(qs_env=qs_env, &
    2077              :                                vxc=v_xc, &
    2078              :                                vxc_tau=v_xc_tau, &
    2079              :                                rho=rho_aux_fit, &
    2080              :                                rho1_r=rhoz_r_aux, &
    2081              :                                rho1_g=rhoz_g_aux, &
    2082              :                                tau1_r=tau_r_aux, &
    2083              :                                xc_section=xc_section, &
    2084              :                                compute_virial=use_virial, &
    2085          142 :                                virial_xc=virial%pv_xc)
    2086              : 
    2087              :             ! Stress-tensor ADMM-kernel GGA contribution
    2088          142 :             IF (use_virial) THEN
    2089          260 :                virial%pv_exc = virial%pv_exc + virial%pv_xc
    2090          260 :                virial%pv_virial = virial%pv_virial + virial%pv_xc
    2091              :             END IF
    2092              : 
    2093          142 :             IF (debug_stress .AND. use_virial) THEN
    2094            0 :                stdeb = 1.0_dp*fconv*virial%pv_xc
    2095            0 :                CALL para_env%sum(stdeb)
    2096            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2097            0 :                   'STRESS| GGA 2nd Pin_admm*dK*rhoz_admm', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2098              :             END IF
    2099              :             !
    2100          142 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2101              :             ! Stress-tensor Pin*dK*rhoz_admm
    2102          142 :             IF (use_virial) THEN
    2103          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2104              :             END IF
    2105          172 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2106          142 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2107          292 :             DO ispin = 1, nspins
    2108          150 :                CALL dbcsr_set(mhy(ispin, 1)%matrix, 0.0_dp)
    2109          150 :                CALL pw_scale(v_xc(ispin), v_xc(ispin)%pw_grid%dvol)
    2110              :                CALL integrate_v_rspace(qs_env=qs_env, v_rspace=v_xc(ispin), &
    2111              :                                        hmat=mhy(ispin, 1), pmat=matrix_p(ispin, 1), &
    2112              :                                        calculate_forces=.TRUE., &
    2113          292 :                                        basis_type=basis_type, task_list_external=task_list)
    2114              :             END DO
    2115          142 :             IF (debug_forces) THEN
    2116           40 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2117           10 :                CALL para_env%sum(fodeb)
    2118           10 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dK*rhoz_admm ", fodeb
    2119              :             END IF
    2120          142 :             IF (debug_stress .AND. use_virial) THEN
    2121            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    2122            0 :                CALL para_env%sum(stdeb)
    2123            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2124            0 :                   'STRESS| INT 2nd Pin*dK*rhoz_admm   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2125              :             END IF
    2126              :             ! Stress-tensor Pin*dK*rhoz_admm
    2127          142 :             IF (use_virial) THEN
    2128          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2129              :             END IF
    2130              :             ! GAPW ADMM XC correction integrate weight contribution to force
    2131          142 :             IF (admm_env%do_gapw) THEN
    2132           42 :                IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2133           12 :                IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2134              : 
    2135           12 :                ALLOCATE (rho1)
    2136           12 :                CALL qs_rho_create(rho1)
    2137           12 :                CALL qs_rho_set(rho1, rho_r=rhoz_r_aux, rho_g=rhoz_g_aux)
    2138              :                !
    2139           12 :                CALL accint_weight_force(qs_env, rho_aux_fit, rho1, 1, xc_section)
    2140              :                !
    2141           12 :                DEALLOCATE (rho1)
    2142           12 :                IF (debug_forces) THEN
    2143           40 :                   fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2144           10 :                   CALL para_env%sum(fodeb)
    2145           10 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: dKxc*rhoz_admm*dw ", fodeb
    2146              :                END IF
    2147           12 :                IF (debug_stress .AND. use_virial) THEN
    2148            0 :                   stdeb = fconv*(virial%pv_virial - stdeb)
    2149            0 :                   CALL para_env%sum(stdeb)
    2150            0 :                   IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2151            0 :                      'STRESS| dKxc*rhoz_admm*dw', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2152              :                END IF
    2153              :             END IF
    2154              :             ! return ADMM response densities and potentials
    2155          292 :             DO ispin = 1, nspins
    2156          150 :                CALL auxbas_pw_pool%give_back_pw(v_xc(ispin))
    2157          150 :                CALL auxbas_pw_pool%give_back_pw(rhoz_r_aux(ispin))
    2158          292 :                CALL auxbas_pw_pool%give_back_pw(rhoz_g_aux(ispin))
    2159              :             END DO
    2160          142 :             DEALLOCATE (v_xc, rhoz_r_aux, rhoz_g_aux)
    2161              :             !
    2162          142 :             IF (admm_env%do_gapw) THEN
    2163           12 :                CALL local_rho_set_create(local_rhoz_set_admm)
    2164              :                CALL allocate_rho_atom_internals(local_rhoz_set_admm%rho_atom_set, atomic_kind_set, &
    2165           12 :                                                 admm_env%admm_gapw_env%admm_kind_set, dft_control, para_env)
    2166              :                CALL calculate_rho_atom_coeff(qs_env, mpz(:, 1), local_rhoz_set_admm%rho_atom_set, &
    2167              :                                              admm_env%admm_gapw_env%admm_kind_set, &
    2168           12 :                                              admm_env%admm_gapw_env%oce, sab_aux_fit, para_env)
    2169              :                CALL prepare_gapw_den(qs_env, local_rho_set=local_rhoz_set_admm, &
    2170           12 :                                      do_rho0=.FALSE., kind_set_external=admm_env%admm_gapw_env%admm_kind_set)
    2171              :                !compute the potential due to atomic densities
    2172              :                CALL calculate_xc_2nd_deriv_atom(admm_env%admm_gapw_env%local_rho_set%rho_atom_set, &
    2173              :                                                 local_rhoz_set_admm%rho_atom_set, &
    2174              :                                                 qs_env, xc_section, para_env, do_triplet=.FALSE., &
    2175           12 :                                                 kind_set_external=admm_env%admm_gapw_env%admm_kind_set)
    2176              :                !
    2177           42 :                IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    2178              :                CALL update_ks_atom(qs_env, mhy(:, 1), matrix_p(:, 1), forces=.TRUE., tddft=.FALSE., &
    2179              :                                    rho_atom_external=local_rhoz_set_admm%rho_atom_set, &
    2180              :                                    kind_set_external=admm_env%admm_gapw_env%admm_kind_set, &
    2181              :                                    oce_external=admm_env%admm_gapw_env%oce, &
    2182           12 :                                    sab_external=sab_aux_fit)
    2183           12 :                IF (debug_forces) THEN
    2184           40 :                   fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    2185           10 :                   CALL para_env%sum(fodeb)
    2186           10 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dK*rhoz_admm[PAW] ", fodeb
    2187              :                END IF
    2188           12 :                CALL local_rho_set_release(local_rhoz_set_admm)
    2189              :             END IF
    2190              :             !
    2191          142 :             nao = admm_env%nao_orb
    2192          142 :             nao_aux = admm_env%nao_aux_fit
    2193          142 :             ALLOCATE (dbwork)
    2194          142 :             CALL dbcsr_create(dbwork, template=matrix_hz(1)%matrix)
    2195          292 :             DO ispin = 1, nspins
    2196              :                CALL cp_dbcsr_sm_fm_multiply(mhy(ispin, 1)%matrix, admm_env%A, &
    2197          150 :                                             admm_env%work_aux_orb, nao)
    2198              :                CALL parallel_gemm('T', 'N', nao, nao, nao_aux, &
    2199              :                                   1.0_dp, admm_env%A, admm_env%work_aux_orb, 0.0_dp, &
    2200          150 :                                   admm_env%work_orb_orb)
    2201          150 :                CALL dbcsr_copy(dbwork, matrix_hz(ispin)%matrix)
    2202          150 :                CALL dbcsr_set(dbwork, 0.0_dp)
    2203          150 :                CALL copy_fm_to_dbcsr(admm_env%work_orb_orb, dbwork, keep_sparsity=.TRUE.)
    2204          292 :                CALL dbcsr_add(matrix_hz(ispin)%matrix, dbwork, 1.0_dp, 1.0_dp)
    2205              :             END DO
    2206          142 :             CALL dbcsr_release(dbwork)
    2207          142 :             DEALLOCATE (dbwork)
    2208          142 :             CALL dbcsr_deallocate_matrix_set(mpz)
    2209              :          END IF ! qs_env%admm_env%aux_exch_func == do_admm_aux_exch_func_none
    2210              :       END IF ! do_admm
    2211              : 
    2212              :       ! -----------------------------------------
    2213              :       !  HFX
    2214              :       ! -----------------------------------------
    2215              : 
    2216              :       ! HFX
    2217         1132 :       hfx_section => section_vals_get_subs_vals(xc_section, "HF")
    2218         1132 :       CALL section_vals_get(hfx_section, explicit=do_hfx)
    2219         1132 :       IF (do_hfx) THEN
    2220          488 :          CALL section_vals_get(hfx_section, n_repetition=n_rep_hf)
    2221          488 :          CPASSERT(n_rep_hf == 1)
    2222              :          CALL section_vals_val_get(hfx_section, "TREAT_LSD_IN_CORE", l_val=hfx_treat_lsd_in_core, &
    2223          488 :                                    i_rep_section=1)
    2224          488 :          mspin = 1
    2225          488 :          IF (hfx_treat_lsd_in_core) mspin = nspins
    2226         1304 :          IF (use_virial) virial%pv_fock_4c = 0.0_dp
    2227              :          !
    2228              :          CALL get_qs_env(qs_env=qs_env, rho=rho, x_data=x_data, &
    2229          488 :                          s_mstruct_changed=s_mstruct_changed)
    2230          488 :          distribute_fock_matrix = .TRUE.
    2231              : 
    2232              :          ! -----------------------------------------
    2233              :          !  HFX-ADMM
    2234              :          ! -----------------------------------------
    2235          488 :          IF (dft_control%do_admm) THEN
    2236          254 :             CALL get_qs_env(qs_env=qs_env, admm_env=admm_env)
    2237          254 :             CALL get_admm_env(admm_env, matrix_s_aux_fit=scrm, rho_aux_fit=rho_aux_fit)
    2238          254 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2239          254 :             NULLIFY (mpz, mhz, mpd, mhd)
    2240          254 :             CALL dbcsr_allocate_matrix_set(mpz, nspins, 1)
    2241          254 :             CALL dbcsr_allocate_matrix_set(mhz, nspins, 1)
    2242          254 :             CALL dbcsr_allocate_matrix_set(mpd, nspins, 1)
    2243          254 :             CALL dbcsr_allocate_matrix_set(mhd, nspins, 1)
    2244          528 :             DO ispin = 1, nspins
    2245          274 :                ALLOCATE (mhz(ispin, 1)%matrix, mhd(ispin, 1)%matrix)
    2246          274 :                CALL dbcsr_create(mhz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2247          274 :                CALL dbcsr_create(mhd(ispin, 1)%matrix, template=scrm(1)%matrix)
    2248          274 :                CALL dbcsr_copy(mhz(ispin, 1)%matrix, scrm(1)%matrix)
    2249          274 :                CALL dbcsr_copy(mhd(ispin, 1)%matrix, scrm(1)%matrix)
    2250          274 :                CALL dbcsr_set(mhz(ispin, 1)%matrix, 0.0_dp)
    2251          274 :                CALL dbcsr_set(mhd(ispin, 1)%matrix, 0.0_dp)
    2252          274 :                ALLOCATE (mpz(ispin, 1)%matrix)
    2253          274 :                IF (do_ex) THEN
    2254          160 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2255          160 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, p_env%p1_admm(ispin)%matrix)
    2256              :                   CALL dbcsr_add(mpz(ispin, 1)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2257          160 :                                  1.0_dp, 1.0_dp)
    2258              :                ELSE
    2259          114 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2260          114 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, matrix_pz_admm(ispin)%matrix)
    2261              :                END IF
    2262          528 :                mpd(ispin, 1)%matrix => matrix_p(ispin, 1)%matrix
    2263              :             END DO
    2264              :             !
    2265          254 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2266              : 
    2267              :                eh1 = 0.0_dp
    2268              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhz, eh1, rho_ao=mpz, &
    2269              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2270            6 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2271              : 
    2272              :                eh1 = 0.0_dp
    2273              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhd, eh1, rho_ao=mpd, &
    2274              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2275            6 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2276              : 
    2277              :             ELSE
    2278          496 :                DO ispin = 1, mspin
    2279              :                   eh1 = 0.0
    2280              :                   CALL integrate_four_center(qs_env, x_data, mhz, eh1, mpz, hfx_section, &
    2281              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2282          496 :                                              ispin=ispin)
    2283              :                END DO
    2284          496 :                DO ispin = 1, mspin
    2285              :                   eh1 = 0.0
    2286              :                   CALL integrate_four_center(qs_env, x_data, mhd, eh1, mpd, hfx_section, &
    2287              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2288          496 :                                              ispin=ispin)
    2289              :                END DO
    2290              :             END IF
    2291              :             !
    2292          254 :             CALL get_qs_env(qs_env, admm_env=admm_env)
    2293          254 :             CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
    2294          254 :             CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
    2295          254 :             nao = admm_env%nao_orb
    2296          254 :             nao_aux = admm_env%nao_aux_fit
    2297          254 :             ALLOCATE (dbwork)
    2298          254 :             CALL dbcsr_create(dbwork, template=matrix_hz(1)%matrix)
    2299          528 :             DO ispin = 1, nspins
    2300              :                CALL cp_dbcsr_sm_fm_multiply(mhz(ispin, 1)%matrix, admm_env%A, &
    2301          274 :                                             admm_env%work_aux_orb, nao)
    2302              :                CALL parallel_gemm('T', 'N', nao, nao, nao_aux, &
    2303              :                                   1.0_dp, admm_env%A, admm_env%work_aux_orb, 0.0_dp, &
    2304          274 :                                   admm_env%work_orb_orb)
    2305          274 :                CALL dbcsr_copy(dbwork, matrix_hz(ispin)%matrix)
    2306          274 :                CALL dbcsr_set(dbwork, 0.0_dp)
    2307          274 :                CALL copy_fm_to_dbcsr(admm_env%work_orb_orb, dbwork, keep_sparsity=.TRUE.)
    2308          528 :                CALL dbcsr_add(matrix_hz(ispin)%matrix, dbwork, 1.0_dp, 1.0_dp)
    2309              :             END DO
    2310          254 :             CALL dbcsr_release(dbwork)
    2311          254 :             DEALLOCATE (dbwork)
    2312              :             ! derivatives Tr (Pz [A(T)H dA/dR])
    2313          320 :             IF (debug_forces) fodeb(1:3) = force(1)%overlap_admm(1:3, 1)
    2314          254 :             IF (ASSOCIATED(mhx) .AND. ASSOCIATED(mhy)) THEN
    2315          292 :                DO ispin = 1, nspins
    2316          150 :                   CALL dbcsr_add(mhd(ispin, 1)%matrix, mhx(ispin, 1)%matrix, 1.0_dp, 1.0_dp)
    2317          292 :                   CALL dbcsr_add(mhz(ispin, 1)%matrix, mhy(ispin, 1)%matrix, 1.0_dp, 1.0_dp)
    2318              :                END DO
    2319              :             END IF
    2320          254 :             CALL qs_rho_get(rho, rho_ao=matrix_pd)
    2321          254 :             CALL admm_projection_derivative(qs_env, mhd(:, 1), mpa)
    2322          254 :             CALL admm_projection_derivative(qs_env, mhz(:, 1), matrix_pd)
    2323          254 :             IF (debug_forces) THEN
    2324           88 :                fodeb(1:3) = force(1)%overlap_admm(1:3, 1) - fodeb(1:3)
    2325           22 :                CALL para_env%sum(fodeb)
    2326           22 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*hfx*S' ", fodeb
    2327              :             END IF
    2328          254 :             CALL dbcsr_deallocate_matrix_set(mpz)
    2329          254 :             CALL dbcsr_deallocate_matrix_set(mhz)
    2330          254 :             CALL dbcsr_deallocate_matrix_set(mhd)
    2331          254 :             IF (ASSOCIATED(mhx) .AND. ASSOCIATED(mhy)) THEN
    2332          142 :                CALL dbcsr_deallocate_matrix_set(mhx)
    2333          142 :                CALL dbcsr_deallocate_matrix_set(mhy)
    2334              :             END IF
    2335          254 :             DEALLOCATE (mpd)
    2336              :          ELSE
    2337              :             ! -----------------------------------------
    2338              :             !  conventional HFX
    2339              :             ! -----------------------------------------
    2340         1920 :             ALLOCATE (mpz(nspins, 1), mhz(nspins, 1))
    2341          492 :             DO ispin = 1, nspins
    2342          258 :                mhz(ispin, 1)%matrix => matrix_hz(ispin)%matrix
    2343          492 :                mpz(ispin, 1)%matrix => mpa(ispin)%matrix
    2344              :             END DO
    2345              : 
    2346          234 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2347              : 
    2348              :                eh1 = 0.0_dp
    2349              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhz, eh1, rho_ao=mpz, &
    2350              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2351           18 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2352              :             ELSE
    2353          432 :                DO ispin = 1, mspin
    2354              :                   eh1 = 0.0
    2355              :                   CALL integrate_four_center(qs_env, x_data, mhz, eh1, mpz, hfx_section, &
    2356              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2357          432 :                                              ispin=ispin)
    2358              :                END DO
    2359              :             END IF
    2360          234 :             DEALLOCATE (mhz, mpz)
    2361              :          END IF
    2362              : 
    2363              :          ! -----------------------------------------
    2364              :          !  HFX FORCES
    2365              :          ! -----------------------------------------
    2366              : 
    2367          488 :          resp_only = .TRUE.
    2368          668 :          IF (debug_forces) fodeb(1:3) = force(1)%fock_4c(1:3, 1)
    2369          488 :          IF (dft_control%do_admm) THEN
    2370              :             ! -----------------------------------------
    2371              :             !  HFX-ADMM FORCES
    2372              :             ! -----------------------------------------
    2373          254 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2374          254 :             NULLIFY (matrix_pza)
    2375          254 :             CALL dbcsr_allocate_matrix_set(matrix_pza, nspins)
    2376          528 :             DO ispin = 1, nspins
    2377          274 :                ALLOCATE (matrix_pza(ispin)%matrix)
    2378          528 :                IF (do_ex) THEN
    2379          160 :                   CALL dbcsr_create(matrix_pza(ispin)%matrix, template=p_env%p1_admm(ispin)%matrix)
    2380          160 :                   CALL dbcsr_copy(matrix_pza(ispin)%matrix, p_env%p1_admm(ispin)%matrix)
    2381              :                   CALL dbcsr_add(matrix_pza(ispin)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2382          160 :                                  1.0_dp, 1.0_dp)
    2383              :                ELSE
    2384          114 :                   CALL dbcsr_create(matrix_pza(ispin)%matrix, template=matrix_pz_admm(ispin)%matrix)
    2385          114 :                   CALL dbcsr_copy(matrix_pza(ispin)%matrix, matrix_pz_admm(ispin)%matrix)
    2386              :                END IF
    2387              :             END DO
    2388          254 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2389              : 
    2390              :                CALL hfx_ri_update_forces(qs_env, x_data(1, 1)%ri_data, nspins, &
    2391              :                                          x_data(1, 1)%general_parameter%fraction, &
    2392              :                                          rho_ao=matrix_p, rho_ao_resp=matrix_pza, &
    2393            6 :                                          use_virial=use_virial, resp_only=resp_only)
    2394              :             ELSE
    2395              :                CALL derivatives_four_center(qs_env, matrix_p, matrix_pza, hfx_section, para_env, &
    2396          248 :                                             1, use_virial, resp_only=resp_only)
    2397              :             END IF
    2398          254 :             CALL dbcsr_deallocate_matrix_set(matrix_pza)
    2399              :          ELSE
    2400              :             ! -----------------------------------------
    2401              :             !  conventional HFX FORCES
    2402              :             ! -----------------------------------------
    2403          234 :             CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    2404          234 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2405              : 
    2406              :                CALL hfx_ri_update_forces(qs_env, x_data(1, 1)%ri_data, nspins, &
    2407              :                                          x_data(1, 1)%general_parameter%fraction, &
    2408              :                                          rho_ao=matrix_p, rho_ao_resp=mpa, &
    2409           18 :                                          use_virial=use_virial, resp_only=resp_only)
    2410              :             ELSE
    2411              :                CALL derivatives_four_center(qs_env, matrix_p, mpa, hfx_section, para_env, &
    2412          216 :                                             1, use_virial, resp_only=resp_only)
    2413              :             END IF
    2414              :          END IF ! do_admm
    2415              : 
    2416          488 :          IF (use_virial) THEN
    2417          884 :             virial%pv_exx = virial%pv_exx - virial%pv_fock_4c
    2418          884 :             virial%pv_virial = virial%pv_virial - virial%pv_fock_4c
    2419           68 :             virial%pv_calculate = .FALSE.
    2420              :          END IF
    2421              : 
    2422          488 :          IF (debug_forces) THEN
    2423          240 :             fodeb(1:3) = force(1)%fock_4c(1:3, 1) - fodeb(1:3)
    2424           60 :             CALL para_env%sum(fodeb)
    2425           60 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*hfx ", fodeb
    2426              :          END IF
    2427          488 :          IF (debug_stress .AND. use_virial) THEN
    2428            0 :             stdeb = -1.0_dp*fconv*virial%pv_fock_4c
    2429            0 :             CALL para_env%sum(stdeb)
    2430            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2431            0 :                'STRESS| Pz*hfx  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2432              :          END IF
    2433              :       END IF ! do_hfx
    2434              : 
    2435              :       ! Stress-tensor volume contributions
    2436              :       ! These need to be applied at the end of qs_force
    2437         1132 :       IF (use_virial) THEN
    2438              :          ! Adding mixed Hartree energy twice, due to symmetry
    2439          168 :          zehartree = zehartree + 2.0_dp*ehartree
    2440          168 :          zexc = zexc + exc
    2441              :          ! ADMM contribution handled differently in qs_force
    2442          168 :          IF (dft_control%do_admm) THEN
    2443           38 :             zexc_aux_fit = zexc_aux_fit + exc_aux_fit
    2444              :          END IF
    2445              :       END IF
    2446              : 
    2447              :       ! Overlap matrix
    2448              :       ! H(drho+dz) + Wz
    2449              :       ! If ground-state density matrix solved by diagonalization, then use this
    2450         1132 :       IF (dft_control%qs_control%do_ls_scf) THEN
    2451              :          ! Ground-state density has been calculated by LS
    2452           10 :          eps_filter = dft_control%qs_control%eps_filter_matrix
    2453           10 :          CALL calculate_whz_ao_matrix(qs_env, matrix_hz, matrix_wz, eps_filter)
    2454              :       ELSE
    2455         1122 :          IF (do_ex) THEN
    2456          636 :             matrix_wz => p_env%w1
    2457              :          END IF
    2458         1122 :          focc = 1.0_dp
    2459         1122 :          IF (nspins == 1) focc = 2.0_dp
    2460         1122 :          CALL get_qs_env(qs_env, mos=mos)
    2461         2354 :          DO ispin = 1, nspins
    2462         1232 :             CALL get_mo_set(mo_set=mos(ispin), homo=nocc)
    2463              :             CALL calculate_whz_matrix(mos(ispin)%mo_coeff, matrix_hz(ispin)%matrix, &
    2464         2354 :                                       matrix_wz(ispin)%matrix, focc, nocc)
    2465              :          END DO
    2466              :       END IF
    2467         1132 :       IF (nspins == 2) THEN
    2468              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2469          110 :                         alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
    2470              :       END IF
    2471              : 
    2472         1612 :       IF (debug_forces) fodeb(1:3) = force(1)%overlap(1:3, 1)
    2473         1132 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_overlap
    2474         1132 :       NULLIFY (scrm)
    2475              :       CALL build_overlap_matrix(ks_env, matrix_s=scrm, &
    2476              :                                 matrix_name="OVERLAP MATRIX", &
    2477              :                                 basis_type_a="ORB", basis_type_b="ORB", &
    2478              :                                 sab_nl=sab_orb, calculate_forces=.TRUE., &
    2479         1132 :                                 matrix_p=matrix_wz(1)%matrix)
    2480              : 
    2481         1132 :       IF (SIZE(matrix_wz, 1) == 2) THEN
    2482              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2483          110 :                         alpha_scalar=1.0_dp, beta_scalar=-1.0_dp)
    2484              :       END IF
    2485              : 
    2486         1132 :       IF (debug_forces) THEN
    2487          640 :          fodeb(1:3) = force(1)%overlap(1:3, 1) - fodeb(1:3)
    2488          160 :          CALL para_env%sum(fodeb)
    2489          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Wz*dS ", fodeb
    2490              :       END IF
    2491         1132 :       IF (debug_stress .AND. use_virial) THEN
    2492            0 :          stdeb = fconv*(virial%pv_overlap - stdeb)
    2493            0 :          CALL para_env%sum(stdeb)
    2494            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2495            0 :             'STRESS| WHz   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2496              :       END IF
    2497         1132 :       CALL dbcsr_deallocate_matrix_set(scrm)
    2498              : 
    2499         1132 :       IF (debug_forces) THEN
    2500          160 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    2501          640 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    2502          160 :          CALL para_env%sum(fodeb)
    2503          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Response Force", fodeb
    2504          640 :          fodeb(1:3) = ftot2(1:3, 1)
    2505          160 :          CALL para_env%sum(fodeb)
    2506          160 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Total Force ", fodeb
    2507          160 :          DEALLOCATE (ftot1, ftot2, ftot3)
    2508              :       END IF
    2509         1132 :       IF (debug_stress .AND. use_virial) THEN
    2510            0 :          stdeb = fconv*(virial%pv_virial - sttot)
    2511            0 :          CALL para_env%sum(stdeb)
    2512            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2513            0 :             'STRESS| Stress Response    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2514            0 :          stdeb = fconv*(virial%pv_virial)
    2515            0 :          CALL para_env%sum(stdeb)
    2516            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2517            0 :             'STRESS| Total Stress       ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2518              :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,3(1X,ES19.11))") &
    2519            0 :             stdeb(1, 1), stdeb(2, 2), stdeb(3, 3)
    2520            0 :          unitstr = "bar"
    2521              :       END IF
    2522              : 
    2523         1132 :       IF (do_ex) THEN
    2524          636 :          CALL dbcsr_deallocate_matrix_set(mpa)
    2525          636 :          CALL dbcsr_deallocate_matrix_set(matrix_hz)
    2526              :       END IF
    2527              : 
    2528         1132 :       CALL timestop(handle)
    2529              : 
    2530         4528 :    END SUBROUTINE response_force
    2531              : 
    2532              : ! **************************************************************************************************
    2533              : !> \brief ...
    2534              : !> \param qs_env ...
    2535              : !> \param p_env ...
    2536              : !> \param matrix_hz ...
    2537              : !> \param ex_env ...
    2538              : !> \param debug ...
    2539              : ! **************************************************************************************************
    2540           16 :    SUBROUTINE response_force_xtb(qs_env, p_env, matrix_hz, ex_env, debug)
    2541              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2542              :       TYPE(qs_p_env_type)                                :: p_env
    2543              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_hz
    2544              :       TYPE(excited_energy_type), OPTIONAL, POINTER       :: ex_env
    2545              :       LOGICAL, INTENT(IN), OPTIONAL                      :: debug
    2546              : 
    2547              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_force_xtb'
    2548              : 
    2549              :       INTEGER                                            :: atom_a, handle, iatom, ikind, iounit, &
    2550              :                                                             is, ispin, na, natom, natorb, nimages, &
    2551              :                                                             nkind, nocc, ns, nsgf, nspins
    2552              :       INTEGER, DIMENSION(25)                             :: lao
    2553              :       INTEGER, DIMENSION(5)                              :: occ
    2554              :       LOGICAL                                            :: debug_forces, do_ex, use_virial
    2555              :       REAL(KIND=dp)                                      :: focc
    2556           16 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: mcharge, mcharge1
    2557           16 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: aocg, aocg1, charges, charges1, ftot1, &
    2558           16 :                                                             ftot2
    2559              :       REAL(KIND=dp), DIMENSION(3)                        :: fodeb
    2560           16 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
    2561              :       TYPE(cp_logger_type), POINTER                      :: logger
    2562           16 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_pz, matrix_wz, mpa, p_matrix, scrm
    2563           16 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_p, matrix_s
    2564              :       TYPE(dbcsr_type), POINTER                          :: s_matrix
    2565              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2566           16 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
    2567              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2568              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    2569           16 :          POINTER                                         :: sab_orb
    2570           16 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    2571           16 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
    2572           16 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    2573              :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    2574              :       TYPE(qs_rho_type), POINTER                         :: rho
    2575              :       TYPE(xtb_atom_type), POINTER                       :: xtb_kind
    2576              : 
    2577           16 :       CALL timeset(routineN, handle)
    2578              : 
    2579           16 :       IF (PRESENT(debug)) THEN
    2580           16 :          debug_forces = debug
    2581              :       ELSE
    2582            0 :          debug_forces = .FALSE.
    2583              :       END IF
    2584              : 
    2585           16 :       logger => cp_get_default_logger()
    2586           16 :       IF (logger%para_env%is_source()) THEN
    2587            8 :          iounit = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
    2588              :       ELSE
    2589              :          iounit = -1
    2590              :       END IF
    2591              : 
    2592           16 :       do_ex = .FALSE.
    2593           16 :       IF (PRESENT(ex_env)) do_ex = .TRUE.
    2594              : 
    2595           16 :       NULLIFY (ks_env, sab_orb)
    2596              :       CALL get_qs_env(qs_env=qs_env, ks_env=ks_env, dft_control=dft_control, &
    2597           16 :                       sab_orb=sab_orb)
    2598           16 :       CALL get_qs_env(qs_env=qs_env, para_env=para_env, force=force)
    2599           16 :       nspins = dft_control%nspins
    2600              : 
    2601           16 :       IF (debug_forces) THEN
    2602            0 :          CALL get_qs_env(qs_env, natom=natom, atomic_kind_set=atomic_kind_set)
    2603            0 :          ALLOCATE (ftot1(3, natom))
    2604            0 :          ALLOCATE (ftot2(3, natom))
    2605            0 :          CALL total_qs_force(ftot1, force, atomic_kind_set)
    2606              :       END IF
    2607              : 
    2608           16 :       matrix_pz => p_env%p1
    2609           16 :       NULLIFY (mpa)
    2610           16 :       IF (do_ex) THEN
    2611           16 :          CALL dbcsr_allocate_matrix_set(mpa, nspins)
    2612           32 :          DO ispin = 1, nspins
    2613           16 :             ALLOCATE (mpa(ispin)%matrix)
    2614           16 :             CALL dbcsr_create(mpa(ispin)%matrix, template=matrix_pz(ispin)%matrix)
    2615           16 :             CALL dbcsr_copy(mpa(ispin)%matrix, matrix_pz(ispin)%matrix)
    2616           16 :             CALL dbcsr_add(mpa(ispin)%matrix, ex_env%matrix_pe(ispin)%matrix, 1.0_dp, 1.0_dp)
    2617           32 :             CALL dbcsr_set(matrix_hz(ispin)%matrix, 0.0_dp)
    2618              :          END DO
    2619              :       ELSE
    2620            0 :          mpa => p_env%p1
    2621              :       END IF
    2622              :       !
    2623              :       ! START OF Tr(P+Z)Hcore
    2624              :       !
    2625           16 :       IF (nspins == 2) THEN
    2626            0 :          CALL dbcsr_add(mpa(1)%matrix, mpa(2)%matrix, 1.0_dp, 1.0_dp)
    2627              :       END IF
    2628              :       ! Hcore  matrix
    2629           16 :       IF (debug_forces) fodeb(1:3) = force(1)%all_potential(1:3, 1)
    2630           16 :       CALL build_xtb_hab_force(qs_env, mpa(1)%matrix)
    2631           16 :       IF (debug_forces) THEN
    2632            0 :          fodeb(1:3) = force(1)%all_potential(1:3, 1) - fodeb(1:3)
    2633            0 :          CALL para_env%sum(fodeb)
    2634            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dHcore  ", fodeb
    2635              :       END IF
    2636           16 :       IF (nspins == 2) THEN
    2637            0 :          CALL dbcsr_add(mpa(1)%matrix, mpa(2)%matrix, 1.0_dp, -1.0_dp)
    2638              :       END IF
    2639              :       !
    2640              :       ! END OF Tr(P+Z)Hcore
    2641              :       !
    2642           16 :       use_virial = .FALSE.
    2643           16 :       nimages = 1
    2644              :       !
    2645              :       ! Hartree potential of response density
    2646              :       !
    2647           16 :       IF (dft_control%qs_control%xtb_control%coulomb_interaction) THEN
    2648              :          ! Mulliken charges
    2649           14 :          CALL get_qs_env(qs_env, rho=rho, particle_set=particle_set, matrix_s_kp=matrix_s)
    2650           14 :          natom = SIZE(particle_set)
    2651           14 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    2652           70 :          ALLOCATE (mcharge(natom), charges(natom, 5))
    2653           42 :          ALLOCATE (mcharge1(natom), charges1(natom, 5))
    2654         1254 :          charges = 0.0_dp
    2655         1254 :          charges1 = 0.0_dp
    2656           14 :          CALL get_qs_env(qs_env, atomic_kind_set=atomic_kind_set, qs_kind_set=qs_kind_set)
    2657           14 :          nkind = SIZE(atomic_kind_set)
    2658           14 :          CALL get_qs_kind_set(qs_kind_set, maxsgf=nsgf)
    2659           56 :          ALLOCATE (aocg(nsgf, natom))
    2660         1184 :          aocg = 0.0_dp
    2661           42 :          ALLOCATE (aocg1(nsgf, natom))
    2662         1184 :          aocg1 = 0.0_dp
    2663           14 :          p_matrix => matrix_p(:, 1)
    2664           14 :          s_matrix => matrix_s(1, 1)%matrix
    2665           14 :          CALL ao_charges(p_matrix, s_matrix, aocg, para_env)
    2666           14 :          CALL ao_charges(mpa, s_matrix, aocg1, para_env)
    2667           48 :          DO ikind = 1, nkind
    2668           34 :             CALL get_atomic_kind(atomic_kind_set(ikind), natom=na)
    2669           34 :             CALL get_qs_kind(qs_kind_set(ikind), xtb_parameter=xtb_kind)
    2670           34 :             CALL get_xtb_atom_param(xtb_kind, natorb=natorb, lao=lao, occupation=occ)
    2671          316 :             DO iatom = 1, na
    2672          234 :                atom_a = atomic_kind_set(ikind)%atom_list(iatom)
    2673         1404 :                charges(atom_a, :) = REAL(occ(:), KIND=dp)
    2674          900 :                DO is = 1, natorb
    2675          632 :                   ns = lao(is) + 1
    2676          632 :                   charges(atom_a, ns) = charges(atom_a, ns) - aocg(is, atom_a)
    2677          866 :                   charges1(atom_a, ns) = charges1(atom_a, ns) - aocg1(is, atom_a)
    2678              :                END DO
    2679              :             END DO
    2680              :          END DO
    2681           14 :          DEALLOCATE (aocg, aocg1)
    2682          248 :          DO iatom = 1, natom
    2683         1404 :             mcharge(iatom) = SUM(charges(iatom, :))
    2684         1418 :             mcharge1(iatom) = SUM(charges1(iatom, :))
    2685              :          END DO
    2686              :          ! Coulomb Kernel
    2687           14 :          CALL xtb_coulomb_hessian(qs_env, matrix_hz, charges1, mcharge1, mcharge)
    2688              :          CALL calc_xtb_ehess_force(qs_env, p_matrix, mpa, charges, mcharge, charges1, &
    2689           14 :                                    mcharge1, debug_forces)
    2690              :          !
    2691           28 :          DEALLOCATE (charges, mcharge, charges1, mcharge1)
    2692              :       END IF
    2693              :       ! Overlap matrix
    2694              :       ! H(drho+dz) + Wz
    2695           16 :       matrix_wz => p_env%w1
    2696           16 :       focc = 0.5_dp
    2697           16 :       IF (nspins == 1) focc = 1.0_dp
    2698           16 :       CALL get_qs_env(qs_env, mos=mos)
    2699           32 :       DO ispin = 1, nspins
    2700           16 :          CALL get_mo_set(mo_set=mos(ispin), homo=nocc)
    2701              :          CALL calculate_whz_matrix(mos(ispin)%mo_coeff, matrix_hz(ispin)%matrix, &
    2702           32 :                                    matrix_wz(ispin)%matrix, focc, nocc)
    2703              :       END DO
    2704           16 :       IF (nspins == 2) THEN
    2705              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2706            0 :                         alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
    2707              :       END IF
    2708           16 :       IF (debug_forces) fodeb(1:3) = force(1)%overlap(1:3, 1)
    2709           16 :       NULLIFY (scrm)
    2710              :       CALL build_overlap_matrix(ks_env, matrix_s=scrm, &
    2711              :                                 matrix_name="OVERLAP MATRIX", &
    2712              :                                 basis_type_a="ORB", basis_type_b="ORB", &
    2713              :                                 sab_nl=sab_orb, calculate_forces=.TRUE., &
    2714           16 :                                 matrix_p=matrix_wz(1)%matrix)
    2715           16 :       IF (debug_forces) THEN
    2716            0 :          fodeb(1:3) = force(1)%overlap(1:3, 1) - fodeb(1:3)
    2717            0 :          CALL para_env%sum(fodeb)
    2718            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Wz*dS ", fodeb
    2719              :       END IF
    2720           16 :       CALL dbcsr_deallocate_matrix_set(scrm)
    2721              : 
    2722           16 :       IF (debug_forces) THEN
    2723            0 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    2724            0 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    2725            0 :          CALL para_env%sum(fodeb)
    2726            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T30,3F16.8)") "DEBUG:: Response Force", fodeb
    2727            0 :          DEALLOCATE (ftot1, ftot2)
    2728              :       END IF
    2729              : 
    2730           16 :       IF (do_ex) THEN
    2731           16 :          CALL dbcsr_deallocate_matrix_set(mpa)
    2732              :       END IF
    2733              : 
    2734           16 :       CALL timestop(handle)
    2735              : 
    2736           32 :    END SUBROUTINE response_force_xtb
    2737              : 
    2738              : ! **************************************************************************************************
    2739              : !> \brief Win = focc*(P*(H[P_out - P_in] + H[Z] )*P)
    2740              : !>        Langrange multiplier matrix with response and perturbation (Harris) kernel matrices
    2741              : !>
    2742              : !> \param qs_env ...
    2743              : !> \param matrix_hz ...
    2744              : !> \param matrix_whz ...
    2745              : !> \param eps_filter ...
    2746              : !> \param
    2747              : !> \par History
    2748              : !>       2020.2 created [Fabian Belleflamme]
    2749              : !> \author Fabian Belleflamme
    2750              : ! **************************************************************************************************
    2751           10 :    SUBROUTINE calculate_whz_ao_matrix(qs_env, matrix_hz, matrix_whz, eps_filter)
    2752              : 
    2753              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2754              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(IN), &
    2755              :          POINTER                                         :: matrix_hz
    2756              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(INOUT), &
    2757              :          POINTER                                         :: matrix_whz
    2758              :       REAL(KIND=dp), INTENT(IN)                          :: eps_filter
    2759              : 
    2760              :       CHARACTER(len=*), PARAMETER :: routineN = 'calculate_whz_ao_matrix'
    2761              : 
    2762              :       INTEGER                                            :: handle, ispin, nspins
    2763              :       REAL(KIND=dp)                                      :: scaling
    2764           10 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: rho_ao
    2765              :       TYPE(dbcsr_type)                                   :: matrix_tmp
    2766              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2767              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2768              :       TYPE(qs_rho_type), POINTER                         :: rho
    2769              : 
    2770           10 :       CALL timeset(routineN, handle)
    2771              : 
    2772           10 :       CPASSERT(ASSOCIATED(qs_env))
    2773           10 :       CPASSERT(ASSOCIATED(matrix_hz))
    2774           10 :       CPASSERT(ASSOCIATED(matrix_whz))
    2775              : 
    2776              :       CALL get_qs_env(qs_env=qs_env, &
    2777              :                       dft_control=dft_control, &
    2778              :                       rho=rho, &
    2779           10 :                       para_env=para_env)
    2780           10 :       nspins = dft_control%nspins
    2781           10 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
    2782              : 
    2783              :       ! init temp matrix
    2784              :       CALL dbcsr_create(matrix_tmp, template=matrix_hz(1)%matrix, &
    2785           10 :                         matrix_type=dbcsr_type_no_symmetry)
    2786              : 
    2787              :       !Spin factors simplify to
    2788           10 :       scaling = 1.0_dp
    2789           10 :       IF (nspins == 1) scaling = 0.5_dp
    2790              : 
    2791              :       ! Operation in MO-solver :
    2792              :       ! Whz = focc*(CC^T*Hz*CC^T)
    2793              :       ! focc = 2.0_dp Closed-shell
    2794              :       ! focc = 1.0_dp Open-shell
    2795              : 
    2796              :       ! Operation in AO-solver :
    2797              :       ! Whz = (scaling*P)*(focc*Hz)*(scaling*P)
    2798              :       ! focc see above
    2799              :       ! scaling = 0.5_dp Closed-shell (P = 2*CC^T), WHz = (0.5*P)*(2*Hz)*(0.5*P)
    2800              :       ! scaling = 1.0_dp Open-shell, WHz = P*Hz*P
    2801              : 
    2802              :       ! Spin factors from Hz and P simplify to
    2803              :       scaling = 1.0_dp
    2804           10 :       IF (nspins == 1) scaling = 0.5_dp
    2805              : 
    2806           20 :       DO ispin = 1, nspins
    2807              : 
    2808              :          ! tmp = H*CC^T
    2809              :          CALL dbcsr_multiply("N", "N", scaling, matrix_hz(ispin)%matrix, rho_ao(ispin)%matrix, &
    2810           10 :                              0.0_dp, matrix_tmp, filter_eps=eps_filter)
    2811              :          ! WHz = CC^T*tmp
    2812              :          ! WHz = Wz + (scaling*P)*(focc*Hz)*(scaling*P)
    2813              :          ! WHz = Wz + scaling*(P*Hz*P)
    2814              :          CALL dbcsr_multiply("N", "N", 1.0_dp, rho_ao(ispin)%matrix, matrix_tmp, &
    2815              :                              1.0_dp, matrix_whz(ispin)%matrix, filter_eps=eps_filter, &
    2816           20 :                              retain_sparsity=.TRUE.)
    2817              : 
    2818              :       END DO
    2819              : 
    2820           10 :       CALL dbcsr_release(matrix_tmp)
    2821              : 
    2822           10 :       CALL timestop(handle)
    2823              : 
    2824           10 :    END SUBROUTINE calculate_whz_ao_matrix
    2825              : 
    2826              : ! **************************************************************************************************
    2827              : 
    2828              : END MODULE response_solver
        

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