LCOV - code coverage report
Current view: top level - src - response_solver.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:cccd2f3) Lines: 86.9 % 1426 1239
Test Date: 2026-05-06 07:07:47 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 xc_derivatives,                  ONLY: xc_functionals_get_needs
     150              :    USE xc_rho_cflags_types,             ONLY: xc_rho_cflags_type
     151              :    USE xtb_ehess,                       ONLY: xtb_coulomb_hessian
     152              :    USE xtb_ehess_force,                 ONLY: calc_xtb_ehess_force
     153              :    USE xtb_hab_force,                   ONLY: build_xtb_hab_force
     154              :    USE xtb_types,                       ONLY: get_xtb_atom_param,&
     155              :                                               xtb_atom_type
     156              : #include "./base/base_uses.f90"
     157              : 
     158              :    IMPLICIT NONE
     159              : 
     160              :    PRIVATE
     161              : 
     162              :    ! Global parameters
     163              : 
     164              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'response_solver'
     165              : 
     166              :    PUBLIC :: response_calculation, response_equation, response_force, response_force_xtb, &
     167              :              response_equation_new
     168              : 
     169              : ! **************************************************************************************************
     170              : 
     171              : CONTAINS
     172              : 
     173              : ! **************************************************************************************************
     174              : !> \brief Initializes solver of linear response equation for energy correction
     175              : !> \brief Call AO or MO based linear response solver for energy correction
     176              : !>
     177              : !> \param qs_env The quickstep environment
     178              : !> \param ec_env The energy correction environment
     179              : !> \param silent ...
     180              : !> \date    01.2020
     181              : !> \author  Fabian Belleflamme
     182              : ! **************************************************************************************************
     183          504 :    SUBROUTINE response_calculation(qs_env, ec_env, silent)
     184              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     185              :       TYPE(energy_correction_type), POINTER              :: ec_env
     186              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     187              : 
     188              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_calculation'
     189              : 
     190              :       INTEGER                                            :: handle, homo, ispin, nao, nao_aux, nmo, &
     191              :                                                             nocc, nspins, solver_method, unit_nr
     192              :       LOGICAL                                            :: should_stop
     193              :       REAL(KIND=dp)                                      :: focc
     194              :       TYPE(admm_type), POINTER                           :: admm_env
     195              :       TYPE(cp_blacs_env_type), POINTER                   :: blacs_env
     196              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
     197              :       TYPE(cp_fm_type)                                   :: sv
     198          504 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: cpmos, mo_occ
     199              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     200              :       TYPE(cp_logger_type), POINTER                      :: logger
     201          504 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s, matrix_s_aux, rho_ao
     202              :       TYPE(dft_control_type), POINTER                    :: dft_control
     203              :       TYPE(linres_control_type), POINTER                 :: linres_control
     204          504 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     205              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     206              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     207          504 :          POINTER                                         :: sab_orb
     208              :       TYPE(qs_energy_type), POINTER                      :: energy
     209              :       TYPE(qs_p_env_type), POINTER                       :: p_env
     210              :       TYPE(qs_rho_type), POINTER                         :: rho
     211              :       TYPE(section_vals_type), POINTER                   :: input, solver_section
     212              : 
     213          504 :       CALL timeset(routineN, handle)
     214              : 
     215          504 :       NULLIFY (admm_env, dft_control, energy, logger, matrix_s, matrix_s_aux, mo_coeff, mos, para_env, &
     216          504 :                rho_ao, sab_orb, solver_section)
     217              : 
     218              :       ! Get useful output unit
     219          504 :       logger => cp_get_default_logger()
     220          504 :       IF (logger%para_env%is_source()) THEN
     221          252 :          unit_nr = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
     222              :       ELSE
     223          252 :          unit_nr = -1
     224              :       END IF
     225              : 
     226              :       CALL get_qs_env(qs_env, &
     227              :                       dft_control=dft_control, &
     228              :                       input=input, &
     229              :                       matrix_s=matrix_s, &
     230              :                       para_env=para_env, &
     231          504 :                       sab_orb=sab_orb)
     232          504 :       nspins = dft_control%nspins
     233              : 
     234              :       ! initialize linres_control
     235              :       NULLIFY (linres_control)
     236          504 :       ALLOCATE (linres_control)
     237          504 :       linres_control%do_kernel = .TRUE.
     238              :       linres_control%lr_triplet = .FALSE.
     239              :       linres_control%converged = .FALSE.
     240          504 :       linres_control%energy_gap = 0.02_dp
     241              : 
     242              :       ! Read input
     243          504 :       solver_section => section_vals_get_subs_vals(input, "DFT%ENERGY_CORRECTION%RESPONSE_SOLVER")
     244          504 :       CALL section_vals_val_get(solver_section, "EPS", r_val=linres_control%eps)
     245          504 :       CALL section_vals_val_get(solver_section, "EPS_FILTER", r_val=linres_control%eps_filter)
     246          504 :       CALL section_vals_val_get(solver_section, "MAX_ITER", i_val=linres_control%max_iter)
     247          504 :       CALL section_vals_val_get(solver_section, "METHOD", i_val=solver_method)
     248          504 :       CALL section_vals_val_get(solver_section, "PRECONDITIONER", i_val=linres_control%preconditioner_type)
     249          504 :       CALL section_vals_val_get(solver_section, "RESTART", l_val=linres_control%linres_restart)
     250          504 :       CALL section_vals_val_get(solver_section, "RESTART_EVERY", i_val=linres_control%restart_every)
     251          504 :       CALL set_qs_env(qs_env, linres_control=linres_control)
     252              : 
     253              :       ! Write input section of response solver
     254          504 :       CALL response_solver_write_input(solver_section, linres_control, unit_nr, silent=silent)
     255              : 
     256              :       ! Allocate and initialize response density matrix Z,
     257              :       ! and the energy weighted response density matrix
     258              :       ! Template is the ground-state overlap matrix
     259          504 :       CALL dbcsr_allocate_matrix_set(ec_env%matrix_wz, nspins)
     260          504 :       CALL dbcsr_allocate_matrix_set(ec_env%matrix_z, nspins)
     261         1010 :       DO ispin = 1, nspins
     262          506 :          ALLOCATE (ec_env%matrix_wz(ispin)%matrix)
     263          506 :          ALLOCATE (ec_env%matrix_z(ispin)%matrix)
     264              :          CALL dbcsr_create(ec_env%matrix_wz(ispin)%matrix, name="Wz MATRIX", &
     265          506 :                            template=matrix_s(1)%matrix)
     266              :          CALL dbcsr_create(ec_env%matrix_z(ispin)%matrix, name="Z MATRIX", &
     267          506 :                            template=matrix_s(1)%matrix)
     268          506 :          CALL cp_dbcsr_alloc_block_from_nbl(ec_env%matrix_wz(ispin)%matrix, sab_orb)
     269          506 :          CALL cp_dbcsr_alloc_block_from_nbl(ec_env%matrix_z(ispin)%matrix, sab_orb)
     270          506 :          CALL dbcsr_set(ec_env%matrix_wz(ispin)%matrix, 0.0_dp)
     271         1010 :          CALL dbcsr_set(ec_env%matrix_z(ispin)%matrix, 0.0_dp)
     272              :       END DO
     273              : 
     274              :       ! MO solver requires MO's of the ground-state calculation,
     275              :       ! The MOs environment is not allocated if LS-DFT has been used.
     276              :       ! Introduce MOs here
     277              :       ! Remark: MOS environment also required for creation of p_env
     278          504 :       IF (dft_control%qs_control%do_ls_scf) THEN
     279              : 
     280              :          ! Allocate and initialize MO environment
     281           10 :          CALL ec_mos_init(qs_env, matrix_s(1)%matrix)
     282           10 :          CALL get_qs_env(qs_env, mos=mos, rho=rho)
     283              : 
     284              :          ! Get ground-state density matrix
     285           10 :          CALL qs_rho_get(rho, rho_ao=rho_ao)
     286              : 
     287           20 :          DO ispin = 1, nspins
     288              :             CALL get_mo_set(mo_set=mos(ispin), &
     289              :                             mo_coeff=mo_coeff, &
     290           10 :                             nmo=nmo, nao=nao, homo=homo)
     291              : 
     292           10 :             CALL cp_fm_set_all(mo_coeff, 0.0_dp)
     293           10 :             CALL cp_fm_init_random(mo_coeff, nmo)
     294              : 
     295           10 :             CALL cp_fm_create(sv, mo_coeff%matrix_struct, "SV")
     296              :             ! multiply times PS
     297              :             ! PS*C(:,1:nomo)+C(:,nomo+1:nmo) (nomo=NINT(nelectron/maxocc))
     298           10 :             CALL cp_dbcsr_sm_fm_multiply(matrix_s(1)%matrix, mo_coeff, sv, nmo)
     299           10 :             CALL cp_dbcsr_sm_fm_multiply(rho_ao(ispin)%matrix, sv, mo_coeff, homo)
     300           10 :             CALL cp_fm_release(sv)
     301              :             ! and ortho the result
     302           10 :             CALL make_basis_sm(mo_coeff, nmo, matrix_s(1)%matrix)
     303              : 
     304              :             ! rebuilds fm_pools
     305              :             ! originally done in qs_env_setup, only when mos associated
     306           10 :             NULLIFY (blacs_env)
     307           10 :             CALL get_qs_env(qs_env, blacs_env=blacs_env)
     308              :             CALL mpools_rebuild_fm_pools(qs_env%mpools, mos=mos, &
     309           40 :                                          blacs_env=blacs_env, para_env=para_env)
     310              :          END DO
     311              :       END IF
     312              : 
     313              :       ! initialize p_env
     314              :       ! Remark: mos environment is needed for this
     315          504 :       IF (ASSOCIATED(ec_env%p_env)) THEN
     316          230 :          CALL p_env_release(ec_env%p_env)
     317          230 :          DEALLOCATE (ec_env%p_env)
     318          230 :          NULLIFY (ec_env%p_env)
     319              :       END IF
     320         2520 :       ALLOCATE (ec_env%p_env)
     321              :       CALL p_env_create(ec_env%p_env, qs_env, orthogonal_orbitals=.TRUE., &
     322          504 :                         linres_control=linres_control)
     323          504 :       CALL p_env_psi0_changed(ec_env%p_env, qs_env)
     324              :       ! Total energy overwritten, replace with Etot from energy correction
     325          504 :       CALL get_qs_env(qs_env, energy=energy)
     326          504 :       energy%total = ec_env%etotal
     327              :       !
     328          504 :       p_env => ec_env%p_env
     329              :       !
     330          504 :       CALL dbcsr_allocate_matrix_set(p_env%p1, nspins)
     331          504 :       CALL dbcsr_allocate_matrix_set(p_env%w1, nspins)
     332         1010 :       DO ispin = 1, nspins
     333          506 :          ALLOCATE (p_env%p1(ispin)%matrix, p_env%w1(ispin)%matrix)
     334          506 :          CALL dbcsr_create(matrix=p_env%p1(ispin)%matrix, template=matrix_s(1)%matrix)
     335          506 :          CALL dbcsr_create(matrix=p_env%w1(ispin)%matrix, template=matrix_s(1)%matrix)
     336          506 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%p1(ispin)%matrix, sab_orb)
     337         1010 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%w1(ispin)%matrix, sab_orb)
     338              :       END DO
     339          504 :       IF (dft_control%do_admm) THEN
     340          114 :          CALL get_admm_env(qs_env%admm_env, matrix_s_aux_fit=matrix_s_aux)
     341          114 :          CALL dbcsr_allocate_matrix_set(p_env%p1_admm, nspins)
     342          228 :          DO ispin = 1, nspins
     343          114 :             ALLOCATE (p_env%p1_admm(ispin)%matrix)
     344              :             CALL dbcsr_create(p_env%p1_admm(ispin)%matrix, &
     345          114 :                               template=matrix_s_aux(1)%matrix)
     346          114 :             CALL dbcsr_copy(p_env%p1_admm(ispin)%matrix, matrix_s_aux(1)%matrix)
     347          228 :             CALL dbcsr_set(p_env%p1_admm(ispin)%matrix, 0.0_dp)
     348              :          END DO
     349              :       END IF
     350              : 
     351              :       ! Choose between MO-solver and AO-solver
     352          372 :       SELECT CASE (solver_method)
     353              :       CASE (ec_mo_solver)
     354              : 
     355              :          ! CPKS vector cpmos - RHS of response equation as Ax + b = 0 (sign of b)
     356              :          ! Sign is changed in linres_solver!
     357              :          ! Projector Q applied in linres_solver!
     358          372 :          IF (ASSOCIATED(ec_env%cpmos)) THEN
     359              : 
     360           26 :             CALL response_equation_new(qs_env, p_env, ec_env%cpmos, unit_nr, silent=silent)
     361              : 
     362              :          ELSE
     363          346 :             CALL get_qs_env(qs_env, mos=mos)
     364         2080 :             ALLOCATE (cpmos(nspins), mo_occ(nspins))
     365          694 :             DO ispin = 1, nspins
     366          348 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     367          348 :                NULLIFY (fm_struct)
     368              :                CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     369          348 :                                         template_fmstruct=mo_coeff%matrix_struct)
     370          348 :                CALL cp_fm_create(cpmos(ispin), fm_struct)
     371          348 :                CALL cp_fm_set_all(cpmos(ispin), 0.0_dp)
     372          348 :                CALL cp_fm_create(mo_occ(ispin), fm_struct)
     373          348 :                CALL cp_fm_to_fm(mo_coeff, mo_occ(ispin), nocc)
     374         1042 :                CALL cp_fm_struct_release(fm_struct)
     375              :             END DO
     376              : 
     377          346 :             focc = 2.0_dp
     378          346 :             IF (nspins == 1) focc = 4.0_dp
     379          694 :             DO ispin = 1, nspins
     380          348 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     381              :                CALL cp_dbcsr_sm_fm_multiply(ec_env%matrix_hz(ispin)%matrix, mo_occ(ispin), &
     382              :                                             cpmos(ispin), nocc, &
     383          694 :                                             alpha=focc, beta=0.0_dp)
     384              :             END DO
     385          346 :             CALL cp_fm_release(mo_occ)
     386              : 
     387          346 :             CALL response_equation_new(qs_env, p_env, cpmos, unit_nr, silent=silent)
     388              : 
     389          346 :             CALL cp_fm_release(cpmos)
     390              :          END IF
     391              : 
     392              :          ! Get the response density matrix,
     393              :          ! and energy-weighted response density matrix
     394          746 :          DO ispin = 1, nspins
     395          374 :             CALL dbcsr_copy(ec_env%matrix_z(ispin)%matrix, p_env%p1(ispin)%matrix)
     396          746 :             CALL dbcsr_copy(ec_env%matrix_wz(ispin)%matrix, p_env%w1(ispin)%matrix)
     397              :          END DO
     398              : 
     399              :       CASE (ec_ls_solver)
     400              : 
     401          132 :          IF (ec_env%energy_functional == ec_functional_ext) THEN
     402            0 :             CPABORT("AO Response Solver NYA for External Functional")
     403              :          END IF
     404              : 
     405              :          ! AO ortho solver
     406              :          CALL ec_response_ao(qs_env=qs_env, &
     407              :                              p_env=p_env, &
     408              :                              matrix_hz=ec_env%matrix_hz, &
     409              :                              matrix_pz=ec_env%matrix_z, &
     410              :                              matrix_wz=ec_env%matrix_wz, &
     411              :                              iounit=unit_nr, &
     412              :                              should_stop=should_stop, &
     413          132 :                              silent=silent)
     414              : 
     415          132 :          IF (dft_control%do_admm) THEN
     416           28 :             CALL get_qs_env(qs_env, admm_env=admm_env)
     417           28 :             CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
     418           28 :             CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
     419           28 :             CPASSERT(ASSOCIATED(admm_env%work_aux_aux))
     420           28 :             nao = admm_env%nao_orb
     421           28 :             nao_aux = admm_env%nao_aux_fit
     422           56 :             DO ispin = 1, nspins
     423           28 :                CALL copy_dbcsr_to_fm(ec_env%matrix_z(ispin)%matrix, admm_env%work_orb_orb)
     424              :                CALL parallel_gemm('N', 'N', nao_aux, nao, nao, &
     425              :                                   1.0_dp, admm_env%A, admm_env%work_orb_orb, 0.0_dp, &
     426           28 :                                   admm_env%work_aux_orb)
     427              :                CALL parallel_gemm('N', 'T', nao_aux, nao_aux, nao, &
     428              :                                   1.0_dp, admm_env%work_aux_orb, admm_env%A, 0.0_dp, &
     429           28 :                                   admm_env%work_aux_aux)
     430              :                CALL copy_fm_to_dbcsr(admm_env%work_aux_aux, p_env%p1_admm(ispin)%matrix, &
     431           56 :                                      keep_sparsity=.TRUE.)
     432              :             END DO
     433              :          END IF
     434              : 
     435              :       CASE DEFAULT
     436          636 :          CPABORT("Unknown solver for response equation requested")
     437              :       END SELECT
     438              : 
     439          504 :       IF (dft_control%do_admm) THEN
     440          114 :          CALL dbcsr_allocate_matrix_set(ec_env%z_admm, nspins)
     441          228 :          DO ispin = 1, nspins
     442          114 :             ALLOCATE (ec_env%z_admm(ispin)%matrix)
     443          114 :             CALL dbcsr_create(matrix=ec_env%z_admm(ispin)%matrix, template=matrix_s_aux(1)%matrix)
     444          114 :             CALL get_qs_env(qs_env, admm_env=admm_env)
     445          228 :             CALL dbcsr_copy(ec_env%z_admm(ispin)%matrix, p_env%p1_admm(ispin)%matrix)
     446              :          END DO
     447              :       END IF
     448              : 
     449              :       ! Get rid of MO environment again
     450          504 :       IF (dft_control%qs_control%do_ls_scf) THEN
     451           20 :          DO ispin = 1, nspins
     452           20 :             CALL deallocate_mo_set(mos(ispin))
     453              :          END DO
     454           10 :          IF (ASSOCIATED(qs_env%mos)) THEN
     455           20 :             DO ispin = 1, SIZE(qs_env%mos)
     456           20 :                CALL deallocate_mo_set(qs_env%mos(ispin))
     457              :             END DO
     458           10 :             DEALLOCATE (qs_env%mos)
     459              :          END IF
     460              :       END IF
     461              : 
     462          504 :       CALL timestop(handle)
     463              : 
     464         1008 :    END SUBROUTINE response_calculation
     465              : 
     466              : ! **************************************************************************************************
     467              : !> \brief Parse the input section of the response solver
     468              : !> \param input Input section which controls response solver parameters
     469              : !> \param linres_control Environment for general setting of linear response calculation
     470              : !> \param unit_nr ...
     471              : !> \param silent ...
     472              : !> \par History
     473              : !>       2020.05 created [Fabian Belleflamme]
     474              : !> \author Fabian Belleflamme
     475              : ! **************************************************************************************************
     476          504 :    SUBROUTINE response_solver_write_input(input, linres_control, unit_nr, silent)
     477              :       TYPE(section_vals_type), POINTER                   :: input
     478              :       TYPE(linres_control_type), POINTER                 :: linres_control
     479              :       INTEGER, INTENT(IN)                                :: unit_nr
     480              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     481              : 
     482              :       CHARACTER(len=*), PARAMETER :: routineN = 'response_solver_write_input'
     483              : 
     484              :       INTEGER                                            :: handle, max_iter_lanczos, s_sqrt_method, &
     485              :                                                             s_sqrt_order, solver_method
     486              :       LOGICAL                                            :: my_silent
     487              :       REAL(KIND=dp)                                      :: eps_lanczos
     488              : 
     489          504 :       CALL timeset(routineN, handle)
     490              : 
     491          504 :       my_silent = .FALSE.
     492          504 :       IF (PRESENT(silent)) my_silent = silent
     493              : 
     494          504 :       IF (unit_nr > 0) THEN
     495              : 
     496              :          ! linres_control
     497              :          WRITE (unit_nr, '(/,T2,A)') &
     498          252 :             REPEAT("-", 30)//" Linear Response Solver "//REPEAT("-", 25)
     499              : 
     500          252 :          IF (.NOT. my_silent) THEN
     501              :             ! Which type of solver is used
     502          247 :             CALL section_vals_val_get(input, "METHOD", i_val=solver_method)
     503              : 
     504           66 :             SELECT CASE (solver_method)
     505              :             CASE (ec_ls_solver)
     506           66 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Solver: ", "AO-based CG-solver"
     507              :             CASE (ec_mo_solver)
     508          247 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Solver: ", "MO-based CG-solver"
     509              :             END SELECT
     510              : 
     511          247 :             WRITE (unit_nr, '(T2,A,T61,E20.3)') "eps:", linres_control%eps
     512          247 :             WRITE (unit_nr, '(T2,A,T61,E20.3)') "eps_filter:", linres_control%eps_filter
     513          247 :             WRITE (unit_nr, '(T2,A,T61,I20)') "Max iter:", linres_control%max_iter
     514              : 
     515          255 :             SELECT CASE (linres_control%preconditioner_type)
     516              :             CASE (ot_precond_full_all)
     517            8 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_ALL"
     518              :             CASE (ot_precond_full_single_inverse)
     519          173 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_SINGLE_INVERSE"
     520              :             CASE (ot_precond_full_single)
     521            0 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_SINGLE"
     522              :             CASE (ot_precond_full_kinetic)
     523            0 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_KINETIC"
     524              :             CASE (ot_precond_s_inverse)
     525            0 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "FULL_S_INVERSE"
     526              :             CASE (precond_mlp)
     527           65 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "MULTI_LEVEL"
     528              :             CASE (ot_precond_none)
     529          247 :                WRITE (unit_nr, '(T2,A,T61,A20)') "Preconditioner: ", "NONE"
     530              :             END SELECT
     531              : 
     532           66 :             SELECT CASE (solver_method)
     533              :             CASE (ec_ls_solver)
     534              : 
     535           66 :                CALL section_vals_val_get(input, "S_SQRT_METHOD", i_val=s_sqrt_method)
     536           66 :                CALL section_vals_val_get(input, "S_SQRT_ORDER", i_val=s_sqrt_order)
     537           66 :                CALL section_vals_val_get(input, "EPS_LANCZOS", r_val=eps_lanczos)
     538           66 :                CALL section_vals_val_get(input, "MAX_ITER_LANCZOS", i_val=max_iter_lanczos)
     539              : 
     540              :                ! Response solver transforms P and KS into orthonormal basis,
     541              :                ! reuires matrx S sqrt and its inverse
     542           66 :                SELECT CASE (s_sqrt_method)
     543              :                CASE (ls_s_sqrt_ns)
     544           66 :                   WRITE (unit_nr, '(T2,A,T61,A20)') "S sqrt method:", "NEWTONSCHULZ"
     545              :                CASE (ls_s_sqrt_proot)
     546            0 :                   WRITE (unit_nr, '(T2,A,T61,A20)') "S sqrt method:", "PROOT"
     547              :                CASE DEFAULT
     548           66 :                   CPABORT("Unknown sqrt method.")
     549              :                END SELECT
     550          313 :                WRITE (unit_nr, '(T2,A,T61,I20)') "S sqrt order:", s_sqrt_order
     551              : 
     552              :             CASE (ec_mo_solver)
     553              :             END SELECT
     554              : 
     555          247 :             WRITE (unit_nr, '(T2,A)') REPEAT("-", 79)
     556              : 
     557              :          END IF
     558              : 
     559          252 :          CALL m_flush(unit_nr)
     560              :       END IF
     561              : 
     562          504 :       CALL timestop(handle)
     563              : 
     564          504 :    END SUBROUTINE response_solver_write_input
     565              : 
     566              : ! **************************************************************************************************
     567              : !> \brief Initializes vectors for MO-coefficient based linear response solver
     568              : !>        and calculates response density, and energy-weighted response density matrix
     569              : !>
     570              : !> \param qs_env ...
     571              : !> \param p_env ...
     572              : !> \param cpmos ...
     573              : !> \param iounit ...
     574              : !> \param silent ...
     575              : ! **************************************************************************************************
     576          422 :    SUBROUTINE response_equation_new(qs_env, p_env, cpmos, iounit, silent)
     577              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     578              :       TYPE(qs_p_env_type)                                :: p_env
     579              :       TYPE(cp_fm_type), DIMENSION(:), INTENT(INOUT)      :: cpmos
     580              :       INTEGER, INTENT(IN)                                :: iounit
     581              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     582              : 
     583              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_equation_new'
     584              : 
     585              :       INTEGER                                            :: handle, ispin, nao, nao_aux, nocc, nspins
     586              :       LOGICAL                                            :: should_stop, uniform_occupation
     587          422 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: occupation
     588              :       TYPE(admm_type), POINTER                           :: admm_env
     589              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
     590          422 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: psi0, psi1
     591              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     592          422 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ks, matrix_s
     593              :       TYPE(dft_control_type), POINTER                    :: dft_control
     594          422 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     595              : 
     596          422 :       CALL timeset(routineN, handle)
     597              : 
     598          422 :       NULLIFY (dft_control, matrix_ks, mo_coeff, mos)
     599              : 
     600              :       CALL get_qs_env(qs_env, dft_control=dft_control, matrix_ks=matrix_ks, &
     601          422 :                       matrix_s=matrix_s, mos=mos)
     602          422 :       nspins = dft_control%nspins
     603              : 
     604              :       ! Initialize vectors:
     605              :       ! psi0 : The ground-state MO-coefficients
     606              :       ! psi1 : The "perturbed" linear response orbitals
     607         2982 :       ALLOCATE (psi0(nspins), psi1(nspins))
     608          858 :       DO ispin = 1, nspins
     609              :          CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, homo=nocc, &
     610          436 :                          uniform_occupation=uniform_occupation)
     611          436 :          IF (.NOT. uniform_occupation) THEN
     612           10 :             CALL get_mo_set(mos(ispin), occupation_numbers=occupation)
     613           58 :             CPASSERT(ALL(occupation(1:nocc) == occupation(1)))
     614              :          END IF
     615          436 :          NULLIFY (fm_struct)
     616              :          CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     617          436 :                                   template_fmstruct=mo_coeff%matrix_struct)
     618          436 :          CALL cp_fm_create(psi0(ispin), fm_struct)
     619          436 :          CALL cp_fm_to_fm(mo_coeff, psi0(ispin), nocc)
     620          436 :          CALL cp_fm_create(psi1(ispin), fm_struct)
     621          436 :          CALL cp_fm_set_all(psi1(ispin), 0.0_dp)
     622         1294 :          CALL cp_fm_struct_release(fm_struct)
     623              :       END DO
     624              : 
     625              :       should_stop = .FALSE.
     626              :       ! The response solver
     627              :       CALL linres_solver(p_env, qs_env, psi1, cpmos, psi0, iounit, &
     628          422 :                          should_stop, silent=silent)
     629              : 
     630              :       ! Building the response density matrix
     631          858 :       DO ispin = 1, nspins
     632          858 :          CALL dbcsr_copy(p_env%p1(ispin)%matrix, matrix_s(1)%matrix)
     633              :       END DO
     634          422 :       CALL build_dm_response(psi0, psi1, p_env%p1)
     635          858 :       DO ispin = 1, nspins
     636          858 :          CALL dbcsr_scale(p_env%p1(ispin)%matrix, 0.5_dp)
     637              :       END DO
     638              : 
     639          422 :       IF (dft_control%do_admm) THEN
     640          102 :          CALL get_qs_env(qs_env, admm_env=admm_env)
     641          102 :          CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
     642          102 :          CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
     643          102 :          CPASSERT(ASSOCIATED(admm_env%work_aux_aux))
     644          102 :          nao = admm_env%nao_orb
     645          102 :          nao_aux = admm_env%nao_aux_fit
     646          208 :          DO ispin = 1, nspins
     647          106 :             CALL copy_dbcsr_to_fm(p_env%p1(ispin)%matrix, admm_env%work_orb_orb)
     648              :             CALL parallel_gemm('N', 'N', nao_aux, nao, nao, &
     649              :                                1.0_dp, admm_env%A, admm_env%work_orb_orb, 0.0_dp, &
     650          106 :                                admm_env%work_aux_orb)
     651              :             CALL parallel_gemm('N', 'T', nao_aux, nao_aux, nao, &
     652              :                                1.0_dp, admm_env%work_aux_orb, admm_env%A, 0.0_dp, &
     653          106 :                                admm_env%work_aux_aux)
     654              :             CALL copy_fm_to_dbcsr(admm_env%work_aux_aux, p_env%p1_admm(ispin)%matrix, &
     655          208 :                                   keep_sparsity=.TRUE.)
     656              :          END DO
     657              :       END IF
     658              : 
     659              :       ! Calculate Wz = 0.5*(psi1*eps*psi0^T + psi0*eps*psi1^T)
     660          858 :       DO ispin = 1, nspins
     661              :          CALL calculate_wz_matrix(mos(ispin), psi1(ispin), matrix_ks(ispin)%matrix, &
     662          858 :                                   p_env%w1(ispin)%matrix)
     663              :       END DO
     664          858 :       DO ispin = 1, nspins
     665          858 :          CALL cp_fm_release(cpmos(ispin))
     666              :       END DO
     667          422 :       CALL cp_fm_release(psi1)
     668          422 :       CALL cp_fm_release(psi0)
     669              : 
     670          422 :       CALL timestop(handle)
     671              : 
     672          844 :    END SUBROUTINE response_equation_new
     673              : 
     674              : ! **************************************************************************************************
     675              : !> \brief Initializes vectors for MO-coefficient based linear response solver
     676              : !>        and calculates response density, and energy-weighted response density matrix
     677              : !>        J. Chem. Theory Comput. 2022, 18, 4186−4202 (https://doi.org/10.1021/acs.jctc.2c00144)
     678              : !>
     679              : !> \param qs_env ...
     680              : !> \param p_env Holds the two results of this routine, p_env%p1 = CZ^T + ZC^T,
     681              : !>              p_env%w1 = 0.5\sum_i(C_i*\epsilon_i*Z_i^T + Z_i*\epsilon_i*C_i^T)
     682              : !> \param cpmos RHS of equation as Ax + b = 0 (sign of b)
     683              : !> \param iounit ...
     684              : !> \param lr_section ...
     685              : !> \param silent ...
     686              : ! **************************************************************************************************
     687          658 :    SUBROUTINE response_equation(qs_env, p_env, cpmos, iounit, lr_section, silent)
     688              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     689              :       TYPE(qs_p_env_type)                                :: p_env
     690              :       TYPE(cp_fm_type), DIMENSION(:), POINTER            :: cpmos
     691              :       INTEGER, INTENT(IN)                                :: iounit
     692              :       TYPE(section_vals_type), OPTIONAL, POINTER         :: lr_section
     693              :       LOGICAL, INTENT(IN), OPTIONAL                      :: silent
     694              : 
     695              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'response_equation'
     696              : 
     697              :       INTEGER                                            :: handle, ispin, nao, nao_aux, nocc, nspins
     698              :       LOGICAL                                            :: should_stop
     699              :       TYPE(admm_type), POINTER                           :: admm_env
     700              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
     701          658 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: psi0, psi1
     702              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     703          658 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ks, matrix_s, matrix_s_aux
     704              :       TYPE(dft_control_type), POINTER                    :: dft_control
     705              :       TYPE(linres_control_type), POINTER                 :: linres_control
     706          658 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     707              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     708          658 :          POINTER                                         :: sab_orb
     709              : 
     710          658 :       CALL timeset(routineN, handle)
     711              : 
     712              :       ! initialized linres_control
     713              :       NULLIFY (linres_control)
     714          658 :       ALLOCATE (linres_control)
     715          658 :       linres_control%do_kernel = .TRUE.
     716              :       linres_control%lr_triplet = .FALSE.
     717          658 :       IF (PRESENT(lr_section)) THEN
     718          658 :          CALL section_vals_val_get(lr_section, "RESTART", l_val=linres_control%linres_restart)
     719          658 :          CALL section_vals_val_get(lr_section, "MAX_ITER", i_val=linres_control%max_iter)
     720          658 :          CALL section_vals_val_get(lr_section, "EPS", r_val=linres_control%eps)
     721          658 :          CALL section_vals_val_get(lr_section, "EPS_FILTER", r_val=linres_control%eps_filter)
     722          658 :          CALL section_vals_val_get(lr_section, "RESTART_EVERY", i_val=linres_control%restart_every)
     723          658 :          CALL section_vals_val_get(lr_section, "PRECONDITIONER", i_val=linres_control%preconditioner_type)
     724          658 :          CALL section_vals_val_get(lr_section, "ENERGY_GAP", r_val=linres_control%energy_gap)
     725              :       ELSE
     726              :          linres_control%linres_restart = .FALSE.
     727            0 :          linres_control%max_iter = 100
     728            0 :          linres_control%eps = 1.0e-10_dp
     729            0 :          linres_control%eps_filter = 1.0e-15_dp
     730            0 :          linres_control%restart_every = 50
     731            0 :          linres_control%preconditioner_type = ot_precond_full_single_inverse
     732            0 :          linres_control%energy_gap = 0.02_dp
     733              :       END IF
     734              : 
     735              :       ! initialized p_env
     736              :       CALL p_env_create(p_env, qs_env, orthogonal_orbitals=.TRUE., &
     737          658 :                         linres_control=linres_control)
     738          658 :       CALL set_qs_env(qs_env, linres_control=linres_control)
     739          658 :       CALL p_env_psi0_changed(p_env, qs_env)
     740          658 :       p_env%new_preconditioner = .TRUE.
     741              : 
     742          658 :       CALL get_qs_env(qs_env, dft_control=dft_control, mos=mos)
     743              :       !
     744          658 :       nspins = dft_control%nspins
     745              : 
     746              :       ! Initialize vectors:
     747              :       ! psi0 : The ground-state MO-coefficients
     748              :       ! psi1 : The "perturbed" linear response orbitals
     749         4822 :       ALLOCATE (psi0(nspins), psi1(nspins))
     750         1424 :       DO ispin = 1, nspins
     751          766 :          CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     752          766 :          NULLIFY (fm_struct)
     753              :          CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     754          766 :                                   template_fmstruct=mo_coeff%matrix_struct)
     755          766 :          CALL cp_fm_create(psi0(ispin), fm_struct)
     756          766 :          CALL cp_fm_to_fm(mo_coeff, psi0(ispin), nocc)
     757          766 :          CALL cp_fm_create(psi1(ispin), fm_struct)
     758          766 :          CALL cp_fm_set_all(psi1(ispin), 0.0_dp)
     759         2190 :          CALL cp_fm_struct_release(fm_struct)
     760              :       END DO
     761              : 
     762          658 :       should_stop = .FALSE.
     763              :       ! The response solver
     764          658 :       CALL get_qs_env(qs_env, matrix_s=matrix_s, sab_orb=sab_orb)
     765          658 :       CALL dbcsr_allocate_matrix_set(p_env%p1, nspins)
     766          658 :       CALL dbcsr_allocate_matrix_set(p_env%w1, nspins)
     767         1424 :       DO ispin = 1, nspins
     768          766 :          ALLOCATE (p_env%p1(ispin)%matrix, p_env%w1(ispin)%matrix)
     769          766 :          CALL dbcsr_create(matrix=p_env%p1(ispin)%matrix, template=matrix_s(1)%matrix)
     770          766 :          CALL dbcsr_create(matrix=p_env%w1(ispin)%matrix, template=matrix_s(1)%matrix)
     771          766 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%p1(ispin)%matrix, sab_orb)
     772         1424 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%w1(ispin)%matrix, sab_orb)
     773              :       END DO
     774          658 :       IF (dft_control%do_admm) THEN
     775          142 :          CALL get_admm_env(qs_env%admm_env, matrix_s_aux_fit=matrix_s_aux)
     776          142 :          CALL dbcsr_allocate_matrix_set(p_env%p1_admm, nspins)
     777          304 :          DO ispin = 1, nspins
     778          162 :             ALLOCATE (p_env%p1_admm(ispin)%matrix)
     779              :             CALL dbcsr_create(p_env%p1_admm(ispin)%matrix, &
     780          162 :                               template=matrix_s_aux(1)%matrix)
     781          162 :             CALL dbcsr_copy(p_env%p1_admm(ispin)%matrix, matrix_s_aux(1)%matrix)
     782          304 :             CALL dbcsr_set(p_env%p1_admm(ispin)%matrix, 0.0_dp)
     783              :          END DO
     784              :       END IF
     785              : 
     786              :       CALL linres_solver(p_env, qs_env, psi1, cpmos, psi0, iounit, &
     787          658 :                          should_stop, silent=silent)
     788              : 
     789              :       ! Building the response density matrix
     790         1424 :       DO ispin = 1, nspins
     791         1424 :          CALL dbcsr_copy(p_env%p1(ispin)%matrix, matrix_s(1)%matrix)
     792              :       END DO
     793          658 :       CALL build_dm_response(psi0, psi1, p_env%p1)
     794         1424 :       DO ispin = 1, nspins
     795         1424 :          CALL dbcsr_scale(p_env%p1(ispin)%matrix, 0.5_dp)
     796              :       END DO
     797          658 :       IF (dft_control%do_admm) THEN
     798          142 :          CALL get_qs_env(qs_env, admm_env=admm_env)
     799          142 :          CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
     800          142 :          CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
     801          142 :          CPASSERT(ASSOCIATED(admm_env%work_aux_aux))
     802          142 :          nao = admm_env%nao_orb
     803          142 :          nao_aux = admm_env%nao_aux_fit
     804          304 :          DO ispin = 1, nspins
     805          162 :             CALL copy_dbcsr_to_fm(p_env%p1(ispin)%matrix, admm_env%work_orb_orb)
     806              :             CALL parallel_gemm('N', 'N', nao_aux, nao, nao, &
     807              :                                1.0_dp, admm_env%A, admm_env%work_orb_orb, 0.0_dp, &
     808          162 :                                admm_env%work_aux_orb)
     809              :             CALL parallel_gemm('N', 'T', nao_aux, nao_aux, nao, &
     810              :                                1.0_dp, admm_env%work_aux_orb, admm_env%A, 0.0_dp, &
     811          162 :                                admm_env%work_aux_aux)
     812              :             CALL copy_fm_to_dbcsr(admm_env%work_aux_aux, p_env%p1_admm(ispin)%matrix, &
     813          304 :                                   keep_sparsity=.TRUE.)
     814              :          END DO
     815              :       END IF
     816              : 
     817              :       ! Calculate the second term of Eq. 51 Wz = 0.5*(psi1*eps*psi0^T + psi0*eps*psi1^T)
     818          658 :       CALL get_qs_env(qs_env, matrix_ks=matrix_ks)
     819         1424 :       DO ispin = 1, nspins
     820              :          CALL calculate_wz_matrix(mos(ispin), psi1(ispin), matrix_ks(ispin)%matrix, &
     821         1424 :                                   p_env%w1(ispin)%matrix)
     822              :       END DO
     823          658 :       CALL cp_fm_release(psi0)
     824          658 :       CALL cp_fm_release(psi1)
     825              : 
     826          658 :       CALL timestop(handle)
     827              : 
     828         1974 :    END SUBROUTINE response_equation
     829              : 
     830              : ! **************************************************************************************************
     831              : !> \brief ...
     832              : !> \param qs_env ...
     833              : !> \param vh_rspace ...
     834              : !> \param vxc_rspace ...
     835              : !> \param vtau_rspace ...
     836              : !> \param vadmm_rspace ...
     837              : !> \param vadmm_tau_rspace ...
     838              : !> \param matrix_hz Right-hand-side of linear response equation
     839              : !> \param matrix_pz Linear response density matrix
     840              : !> \param matrix_pz_admm Linear response density matrix in ADMM basis
     841              : !> \param matrix_wz Energy-weighted linear response density
     842              : !> \param zehartree Hartree volume response contribution to stress tensor
     843              : !> \param zexc XC volume response contribution to stress tensor
     844              : !> \param zexc_aux_fit ADMM XC volume response contribution to stress tensor
     845              : !> \param rhopz_r Response density on real space grid
     846              : !> \param p_env ...
     847              : !> \param ex_env ...
     848              : !> \param debug ...
     849              : ! **************************************************************************************************
     850         1146 :    SUBROUTINE response_force(qs_env, vh_rspace, vxc_rspace, vtau_rspace, vadmm_rspace, &
     851              :                              vadmm_tau_rspace, matrix_hz, matrix_pz, matrix_pz_admm, matrix_wz, &
     852         1146 :                              zehartree, zexc, zexc_aux_fit, rhopz_r, p_env, ex_env, debug)
     853              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     854              :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: vh_rspace
     855              :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: vxc_rspace, vtau_rspace, vadmm_rspace, &
     856              :                                                             vadmm_tau_rspace
     857              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_hz, matrix_pz, matrix_pz_admm, &
     858              :                                                             matrix_wz
     859              :       REAL(KIND=dp), OPTIONAL                            :: zehartree, zexc, zexc_aux_fit
     860              :       TYPE(pw_r3d_rs_type), DIMENSION(:), &
     861              :          INTENT(INOUT), OPTIONAL                         :: rhopz_r
     862              :       TYPE(qs_p_env_type), OPTIONAL                      :: p_env
     863              :       TYPE(excited_energy_type), OPTIONAL, POINTER       :: ex_env
     864              :       LOGICAL, INTENT(IN), OPTIONAL                      :: debug
     865              : 
     866              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'response_force'
     867              : 
     868              :       CHARACTER(LEN=default_string_length)               :: basis_type, unitstr
     869              :       INTEGER                                            :: handle, iounit, ispin, mspin, myfun, &
     870              :                                                             n_rep_hf, nao, nao_aux, natom, nder, &
     871              :                                                             nocc, nspins
     872              :       LOGICAL :: debug_forces, debug_stress, distribute_fock_matrix, do_ex, do_hfx, gapw, gapw_xc, &
     873              :          hfx_treat_lsd_in_core, needs_tau_response, needs_tau_response_aux, resp_only, &
     874              :          s_mstruct_changed, use_virial
     875              :       REAL(KIND=dp)                                      :: eh1, ehartree, ekin_mol, eps_filter, &
     876              :                                                             exc, exc_aux_fit, fconv, focc, &
     877              :                                                             hartree_gs, hartree_t
     878         1146 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: ftot1, ftot2, ftot3
     879              :       REAL(KIND=dp), DIMENSION(2)                        :: total_rho_gs, total_rho_t
     880              :       REAL(KIND=dp), DIMENSION(3)                        :: fodeb
     881              :       REAL(KIND=dp), DIMENSION(3, 3)                     :: h_stress, pv_loc, stdeb, sttot, sttot2
     882              :       TYPE(admm_type), POINTER                           :: admm_env
     883         1146 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     884              :       TYPE(cell_type), POINTER                           :: cell
     885              :       TYPE(cp_logger_type), POINTER                      :: logger
     886              :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
     887         1146 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ht, matrix_pd, matrix_pza, &
     888         1146 :                                                             matrix_s, mpa, scrm
     889         1146 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_h, matrix_p, mhd, mhx, mhy, mhz, &
     890         1146 :                                                             mpa2, mpd, mpz, scrm2
     891              :       TYPE(dbcsr_type), POINTER                          :: dbwork
     892              :       TYPE(dft_control_type), POINTER                    :: dft_control
     893              :       TYPE(hartree_local_type), POINTER                  :: hartree_local_gs, hartree_local_t
     894         1146 :       TYPE(hfx_type), DIMENSION(:, :), POINTER           :: x_data
     895              :       TYPE(kg_environment_type), POINTER                 :: kg_env
     896              :       TYPE(local_rho_type), POINTER                      :: local_rho_set_f, local_rho_set_gs, &
     897              :                                                             local_rho_set_t, local_rho_set_vxc, &
     898              :                                                             local_rhoz_set_admm
     899         1146 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     900              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     901              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     902         1146 :          POINTER                                         :: sab_aux_fit, sab_orb
     903              :       TYPE(oce_matrix_type), POINTER                     :: oce
     904         1146 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     905              :       TYPE(pw_c1d_gs_type) :: rho_tot_gspace, rho_tot_gspace_gs, rho_tot_gspace_t, &
     906              :          rhoz_tot_gspace, v_hartree_gspace_gs, v_hartree_gspace_t, zv_hartree_gspace
     907         1146 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g_gs, rho_g_t, rhoz_g, rhoz_g_aux, &
     908         1146 :                                                             rhoz_g_xc
     909              :       TYPE(pw_c1d_gs_type), POINTER                      :: rho_core
     910              :       TYPE(pw_env_type), POINTER                         :: pw_env
     911              :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     912              :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     913              :       TYPE(pw_r3d_rs_type)                               :: v_hartree_rspace_gs, v_hartree_rspace_t, &
     914              :                                                             vhxc_rspace, zv_hartree_rspace
     915         1146 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r_gs, rho_r_t, rhoz_r, rhoz_r_aux, &
     916         1146 :                                                             rhoz_r_xc, rhoz_tau_r_aux, tauz_r, &
     917         1146 :                                                             tauz_r_xc, v_xc, v_xc_tau
     918         1146 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     919         1146 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     920              :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     921              :       TYPE(qs_rho_type), POINTER                         :: rho, rho0, rho1, rho_aux_fit, rho_xc
     922              :       TYPE(section_vals_type), POINTER                   :: hfx_section, xc_fun_section, xc_section
     923              :       TYPE(task_list_type), POINTER                      :: task_list, task_list_aux_fit
     924              :       TYPE(virial_type), POINTER                         :: virial
     925              :       TYPE(xc_rho_cflags_type)                           :: needs
     926              : 
     927         1146 :       CALL timeset(routineN, handle)
     928              : 
     929         1146 :       IF (PRESENT(debug)) THEN
     930         1146 :          debug_forces = debug
     931         1146 :          debug_stress = debug
     932              :       ELSE
     933            0 :          debug_forces = .FALSE.
     934            0 :          debug_stress = .FALSE.
     935              :       END IF
     936              : 
     937         1146 :       logger => cp_get_default_logger()
     938         1146 :       IF (logger%para_env%is_source()) THEN
     939          573 :          iounit = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
     940              :       ELSE
     941              :          iounit = -1
     942              :       END IF
     943              : 
     944         1146 :       do_ex = .FALSE.
     945         1146 :       IF (PRESENT(ex_env)) do_ex = .TRUE.
     946              :       IF (do_ex) THEN
     947          642 :          CPASSERT(PRESENT(p_env))
     948              :       END IF
     949              : 
     950         1146 :       NULLIFY (ks_env, sab_orb, virial)
     951              :       CALL get_qs_env(qs_env=qs_env, &
     952              :                       cell=cell, &
     953              :                       force=force, &
     954              :                       ks_env=ks_env, &
     955              :                       dft_control=dft_control, &
     956              :                       para_env=para_env, &
     957              :                       sab_orb=sab_orb, &
     958         1146 :                       virial=virial)
     959         1146 :       nspins = dft_control%nspins
     960         1146 :       gapw = dft_control%qs_control%gapw
     961         1146 :       gapw_xc = dft_control%qs_control%gapw_xc
     962              : 
     963         1146 :       IF (debug_forces) THEN
     964          166 :          CALL get_qs_env(qs_env, natom=natom, atomic_kind_set=atomic_kind_set)
     965          498 :          ALLOCATE (ftot1(3, natom))
     966          166 :          CALL total_qs_force(ftot1, force, atomic_kind_set)
     967              :       END IF
     968              : 
     969              :       ! check for virial
     970         1146 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     971              : 
     972         1146 :       IF (use_virial .AND. do_ex) THEN
     973            0 :          CALL cp_abort(__LOCATION__, "Stress Tensor not available for TDDFT calculations.")
     974              :       END IF
     975              : 
     976         1146 :       fconv = 1.0E-9_dp*pascal/cell%deth
     977         1146 :       IF (debug_stress .AND. use_virial) THEN
     978            0 :          sttot = virial%pv_virial
     979              :       END IF
     980              : 
     981              :       !     *** If LSD, then combine alpha density and beta density to
     982              :       !     *** total density: alpha <- alpha + beta   and
     983         1146 :       NULLIFY (mpa)
     984         1146 :       NULLIFY (matrix_ht)
     985         1146 :       IF (do_ex) THEN
     986          642 :          CALL dbcsr_allocate_matrix_set(mpa, nspins)
     987         1392 :          DO ispin = 1, nspins
     988          750 :             ALLOCATE (mpa(ispin)%matrix)
     989          750 :             CALL dbcsr_create(mpa(ispin)%matrix, template=p_env%p1(ispin)%matrix)
     990          750 :             CALL dbcsr_copy(mpa(ispin)%matrix, p_env%p1(ispin)%matrix)
     991          750 :             CALL dbcsr_add(mpa(ispin)%matrix, ex_env%matrix_pe(ispin)%matrix, 1.0_dp, 1.0_dp)
     992         1392 :             CALL dbcsr_set(matrix_hz(ispin)%matrix, 0.0_dp)
     993              :          END DO
     994              :       ELSE
     995          504 :          mpa => matrix_pz
     996              :       END IF
     997              :       !
     998         1146 :       IF (do_ex .OR. (gapw .OR. gapw_xc)) THEN
     999          702 :          CALL dbcsr_allocate_matrix_set(matrix_ht, nspins)
    1000         1514 :          DO ispin = 1, nspins
    1001          812 :             ALLOCATE (matrix_ht(ispin)%matrix)
    1002          812 :             CALL dbcsr_create(matrix_ht(ispin)%matrix, template=matrix_hz(ispin)%matrix)
    1003          812 :             CALL dbcsr_copy(matrix_ht(ispin)%matrix, matrix_hz(ispin)%matrix)
    1004         1958 :             CALL dbcsr_set(matrix_ht(ispin)%matrix, 0.0_dp)
    1005              :          END DO
    1006              :       END IF
    1007              :       !
    1008              :       ! START OF Tr[(P+Z)Hcore]
    1009              :       !
    1010              : 
    1011              :       ! Kinetic energy matrix
    1012         1146 :       NULLIFY (scrm2)
    1013         1146 :       mpa2(1:nspins, 1:1) => mpa(1:nspins)
    1014              :       CALL kinetic_energy_matrix(qs_env, matrixkp_t=scrm2, matrix_p=mpa2, &
    1015              :                                  matrix_name="KINETIC ENERGY MATRIX", &
    1016              :                                  basis_type="ORB", &
    1017              :                                  sab_orb=sab_orb, calculate_forces=.TRUE., &
    1018         1146 :                                  debug_forces=debug_forces, debug_stress=debug_stress)
    1019         1146 :       CALL dbcsr_deallocate_matrix_set(scrm2)
    1020              : 
    1021              :       ! Initialize a matrix scrm, later used for scratch purposes
    1022         1146 :       CALL get_qs_env(qs_env=qs_env, matrix_s=matrix_s)
    1023         1146 :       NULLIFY (scrm)
    1024         1146 :       CALL dbcsr_allocate_matrix_set(scrm, nspins)
    1025         2402 :       DO ispin = 1, nspins
    1026         1256 :          ALLOCATE (scrm(ispin)%matrix)
    1027         1256 :          CALL dbcsr_create(scrm(ispin)%matrix, template=matrix_s(1)%matrix)
    1028         1256 :          CALL dbcsr_copy(scrm(ispin)%matrix, matrix_s(1)%matrix)
    1029         2402 :          CALL dbcsr_set(scrm(ispin)%matrix, 0.0_dp)
    1030              :       END DO
    1031              : 
    1032              :       CALL get_qs_env(qs_env, qs_kind_set=qs_kind_set, particle_set=particle_set, &
    1033         1146 :                       atomic_kind_set=atomic_kind_set)
    1034              : 
    1035         9388 :       ALLOCATE (matrix_p(nspins, 1), matrix_h(nspins, 1))
    1036         2402 :       DO ispin = 1, nspins
    1037         1256 :          matrix_p(ispin, 1)%matrix => mpa(ispin)%matrix
    1038         2402 :          matrix_h(ispin, 1)%matrix => scrm(ispin)%matrix
    1039              :       END DO
    1040         1146 :       matrix_h(1, 1)%matrix => scrm(1)%matrix
    1041              : 
    1042         1146 :       nder = 1
    1043              :       CALL core_matrices(qs_env, matrix_h, matrix_p, .TRUE., nder, &
    1044         1146 :                          debug_forces=debug_forces, debug_stress=debug_stress)
    1045              : 
    1046              :       ! Kim-Gordon subsystem DFT
    1047              :       ! Atomic potential for nonadditive kinetic energy contribution
    1048         1146 :       IF (dft_control%qs_control%do_kg) THEN
    1049           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_atomic) THEN
    1050           12 :             CALL get_qs_env(qs_env=qs_env, kg_env=kg_env, dbcsr_dist=dbcsr_dist)
    1051              : 
    1052           12 :             IF (use_virial) THEN
    1053          130 :                pv_loc = virial%pv_virial
    1054              :             END IF
    1055              : 
    1056           12 :             IF (debug_forces) fodeb(1:3) = force(1)%kinetic(1:3, 1)
    1057           12 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1058              :             CALL build_tnadd_mat(kg_env=kg_env, matrix_p=matrix_p, force=force, virial=virial, &
    1059              :                                  calculate_forces=.TRUE., use_virial=use_virial, &
    1060              :                                  qs_kind_set=qs_kind_set, atomic_kind_set=atomic_kind_set, &
    1061           12 :                                  particle_set=particle_set, sab_orb=sab_orb, dbcsr_dist=dbcsr_dist)
    1062           12 :             IF (debug_forces) THEN
    1063            0 :                fodeb(1:3) = force(1)%kinetic(1:3, 1) - fodeb(1:3)
    1064            0 :                CALL para_env%sum(fodeb)
    1065            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dTnadd  ", fodeb
    1066              :             END IF
    1067           12 :             IF (debug_stress .AND. use_virial) THEN
    1068            0 :                stdeb = fconv*(virial%pv_virial - stdeb)
    1069            0 :                CALL para_env%sum(stdeb)
    1070            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1071            0 :                   'STRESS| Pz*dTnadd   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1072              :             END IF
    1073              : 
    1074              :             ! Stress-tensor update components
    1075           12 :             IF (use_virial) THEN
    1076          130 :                virial%pv_ekinetic = virial%pv_ekinetic + (virial%pv_virial - pv_loc)
    1077              :             END IF
    1078              : 
    1079              :          END IF
    1080              :       END IF
    1081              : 
    1082         1146 :       DEALLOCATE (matrix_h)
    1083         1146 :       DEALLOCATE (matrix_p)
    1084         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1085              : 
    1086              :       ! initialize src matrix
    1087              :       ! Necessary as build_kinetic_matrix will only allocate scrm(1)
    1088              :       ! and not scrm(2) in open-shell case
    1089         1146 :       NULLIFY (scrm)
    1090         1146 :       CALL dbcsr_allocate_matrix_set(scrm, nspins)
    1091         2402 :       DO ispin = 1, nspins
    1092         1256 :          ALLOCATE (scrm(ispin)%matrix)
    1093         1256 :          CALL dbcsr_create(scrm(ispin)%matrix, template=matrix_pz(1)%matrix)
    1094         1256 :          CALL dbcsr_copy(scrm(ispin)%matrix, matrix_pz(ispin)%matrix)
    1095         2402 :          CALL dbcsr_set(scrm(ispin)%matrix, 0.0_dp)
    1096              :       END DO
    1097              : 
    1098         1146 :       IF (debug_forces) THEN
    1099          498 :          ALLOCATE (ftot2(3, natom))
    1100          166 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    1101          664 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    1102          166 :          CALL para_env%sum(fodeb)
    1103          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dHcore", fodeb
    1104              :       END IF
    1105         1146 :       IF (debug_stress .AND. use_virial) THEN
    1106            0 :          stdeb = fconv*(virial%pv_virial - sttot)
    1107            0 :          CALL para_env%sum(stdeb)
    1108            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1109            0 :             'STRESS| Stress Pz*dHcore   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1110              :          ! save current total viral, does not contain volume terms yet
    1111            0 :          sttot2 = virial%pv_virial
    1112              :       END IF
    1113              :       !
    1114              :       ! END OF Tr(P+Z)Hcore
    1115              :       !
    1116              :       !
    1117              :       ! Vhxc (KS potentials calculated externally)
    1118         1146 :       CALL get_qs_env(qs_env, pw_env=pw_env)
    1119         1146 :       CALL pw_env_get(pw_env, auxbas_pw_pool=auxbas_pw_pool, poisson_env=poisson_env)
    1120              :       !
    1121         1146 :       IF (dft_control%do_admm) THEN
    1122          256 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1123          256 :          xc_section => admm_env%xc_section_primary
    1124              :       ELSE
    1125          890 :          xc_section => section_vals_get_subs_vals(qs_env%input, "DFT%XC")
    1126              :       END IF
    1127         1146 :       xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
    1128         1146 :       CALL section_vals_val_get(xc_fun_section, "_SECTION_PARAMETERS_", i_val=myfun)
    1129         1146 :       needs = xc_functionals_get_needs(xc_fun_section, (nspins == 2), .TRUE.)
    1130         1146 :       needs_tau_response = needs%tau .OR. needs%tau_spin
    1131              :       !
    1132         1146 :       IF (gapw .OR. gapw_xc) THEN
    1133          216 :          NULLIFY (oce, sab_orb)
    1134          216 :          CALL get_qs_env(qs_env=qs_env, oce=oce, sab_orb=sab_orb)
    1135              :          ! set up local_rho_set for GS density
    1136          216 :          NULLIFY (local_rho_set_gs)
    1137          216 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1138          216 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    1139          216 :          CALL local_rho_set_create(local_rho_set_gs)
    1140              :          CALL allocate_rho_atom_internals(local_rho_set_gs%rho_atom_set, atomic_kind_set, &
    1141          216 :                                           qs_kind_set, dft_control, para_env)
    1142          216 :          CALL init_rho0(local_rho_set_gs, qs_env, dft_control%qs_control%gapw_control)
    1143          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_gs%rho0_mpole)
    1144              :          CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_gs%rho_atom_set, &
    1145          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1146          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_gs, do_rho0=gapw)
    1147              :          ! set up local_rho_set for response density
    1148          216 :          NULLIFY (local_rho_set_t)
    1149          216 :          CALL local_rho_set_create(local_rho_set_t)
    1150              :          CALL allocate_rho_atom_internals(local_rho_set_t%rho_atom_set, atomic_kind_set, &
    1151          216 :                                           qs_kind_set, dft_control, para_env)
    1152              :          CALL init_rho0(local_rho_set_t, qs_env, dft_control%qs_control%gapw_control, &
    1153          216 :                         zcore=0.0_dp)
    1154          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_t%rho0_mpole)
    1155              :          CALL calculate_rho_atom_coeff(qs_env, mpa(:), local_rho_set_t%rho_atom_set, &
    1156          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1157          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_t, do_rho0=gapw)
    1158              : 
    1159              :          ! compute soft GS potential
    1160         1516 :          ALLOCATE (rho_r_gs(nspins), rho_g_gs(nspins))
    1161          434 :          DO ispin = 1, nspins
    1162          218 :             CALL auxbas_pw_pool%create_pw(rho_r_gs(ispin))
    1163          434 :             CALL auxbas_pw_pool%create_pw(rho_g_gs(ispin))
    1164              :          END DO
    1165          216 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace_gs)
    1166              :          ! compute soft GS density
    1167          216 :          total_rho_gs = 0.0_dp
    1168          216 :          CALL pw_zero(rho_tot_gspace_gs)
    1169          434 :          DO ispin = 1, nspins
    1170              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=matrix_p(ispin, 1)%matrix, &
    1171              :                                     rho=rho_r_gs(ispin), &
    1172              :                                     rho_gspace=rho_g_gs(ispin), &
    1173              :                                     soft_valid=(gapw .OR. gapw_xc), &
    1174          218 :                                     total_rho=total_rho_gs(ispin))
    1175          434 :             CALL pw_axpy(rho_g_gs(ispin), rho_tot_gspace_gs)
    1176              :          END DO
    1177          216 :          IF (gapw) THEN
    1178          176 :             CALL get_qs_env(qs_env, natom=natom)
    1179              :             ! add rho0 contributions to GS density (only for Coulomb) only for gapw
    1180          176 :             CALL pw_axpy(local_rho_set_gs%rho0_mpole%rho0_s_gs, rho_tot_gspace_gs)
    1181          176 :             IF (ASSOCIATED(local_rho_set_gs%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1182            0 :                CALL pw_axpy(local_rho_set_gs%rho0_mpole%rhoz_cneo_s_gs, rho_tot_gspace_gs)
    1183              :             END IF
    1184          176 :             IF (dft_control%qs_control%gapw_control%nopaw_as_gpw) THEN
    1185            8 :                CALL get_qs_env(qs_env=qs_env, rho_core=rho_core)
    1186            8 :                CALL pw_axpy(rho_core, rho_tot_gspace_gs)
    1187              :             END IF
    1188              :             ! compute GS potential
    1189          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_gspace_gs)
    1190          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_rspace_gs)
    1191          176 :             NULLIFY (hartree_local_gs)
    1192          176 :             CALL hartree_local_create(hartree_local_gs)
    1193          176 :             CALL init_coulomb_local(hartree_local_gs, natom)
    1194          176 :             CALL pw_poisson_solve(poisson_env, rho_tot_gspace_gs, hartree_gs, v_hartree_gspace_gs)
    1195          176 :             CALL pw_transfer(v_hartree_gspace_gs, v_hartree_rspace_gs)
    1196          176 :             CALL pw_scale(v_hartree_rspace_gs, v_hartree_rspace_gs%pw_grid%dvol)
    1197              :          END IF
    1198              :       END IF
    1199              : 
    1200         1146 :       IF (gapw) THEN
    1201              :          ! Hartree grid PAW term
    1202          176 :          CPASSERT(.NOT. use_virial)
    1203          584 :          IF (debug_forces) fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1)
    1204              :          CALL Vh_1c_gg_integrals(qs_env, hartree_gs, hartree_local_gs%ecoul_1c, local_rho_set_t, para_env, tddft=.TRUE., &
    1205          176 :                                  local_rho_set_2nd=local_rho_set_gs, core_2nd=.FALSE.) ! n^core for GS potential
    1206              :          ! 1st to define integral space, 2nd for potential, integral contributions stored on local_rho_set_gs
    1207              :          CALL integrate_vhg0_rspace(qs_env, v_hartree_rspace_gs, para_env, calculate_forces=.TRUE., &
    1208          176 :                                     local_rho_set=local_rho_set_t, local_rho_set_2nd=local_rho_set_gs)
    1209          176 :          IF (debug_forces) THEN
    1210          544 :             fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1) - fodeb(1:3)
    1211          136 :             CALL para_env%sum(fodeb)
    1212          136 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVh[D^GS]PAWg0", fodeb
    1213              :          END IF
    1214              :       END IF
    1215         1146 :       IF (gapw .OR. gapw_xc) THEN
    1216          216 :          IF (myfun /= xc_none) THEN
    1217              :             ! add 1c hard and soft XC contributions
    1218          192 :             NULLIFY (local_rho_set_vxc)
    1219          192 :             CALL local_rho_set_create(local_rho_set_vxc)
    1220              :             CALL allocate_rho_atom_internals(local_rho_set_vxc%rho_atom_set, atomic_kind_set, &
    1221          192 :                                              qs_kind_set, dft_control, para_env)
    1222              :             CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_vxc%rho_atom_set, &
    1223          192 :                                           qs_kind_set, oce, sab_orb, para_env)
    1224          192 :             CALL prepare_gapw_den(qs_env, local_rho_set_vxc, do_rho0=.FALSE.)
    1225              :             ! compute hard and soft atomic contributions
    1226              :             CALL calculate_vxc_atom(qs_env, .FALSE., exc1=hartree_gs, xc_section_external=xc_section, &
    1227          192 :                                     rho_atom_set_external=local_rho_set_vxc%rho_atom_set)
    1228              :          END IF ! myfun
    1229              :       END IF ! gapw
    1230              : 
    1231         1146 :       CALL auxbas_pw_pool%create_pw(vhxc_rspace)
    1232              :       !
    1233              :       ! Stress-tensor: integration contribution direct term
    1234              :       ! int v_Hxc[n^in]*n^z
    1235         1146 :       IF (use_virial) THEN
    1236         2236 :          pv_loc = virial%pv_virial
    1237              :       END IF
    1238              : 
    1239         1644 :       IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1240         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1241         1146 :       IF (gapw .OR. gapw_xc) THEN
    1242              :          ! vtot = v_xc + v_hartree
    1243          434 :          DO ispin = 1, nspins
    1244          218 :             CALL pw_zero(vhxc_rspace)
    1245          218 :             IF (gapw) THEN
    1246          178 :                CALL pw_transfer(v_hartree_rspace_gs, vhxc_rspace)
    1247           40 :             ELSEIF (gapw_xc) THEN
    1248           40 :                CALL pw_transfer(vh_rspace, vhxc_rspace)
    1249              :             END IF
    1250              :             CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1251              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1252              :                                     qs_env=qs_env, gapw=gapw, &
    1253          434 :                                     calculate_forces=.TRUE.)
    1254              :          END DO
    1255          216 :          IF (myfun /= xc_none) THEN
    1256          386 :             DO ispin = 1, nspins
    1257          194 :                CALL pw_zero(vhxc_rspace)
    1258          194 :                CALL pw_axpy(vxc_rspace(ispin), vhxc_rspace)
    1259              :                CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1260              :                                        hmat=scrm(ispin), pmat=mpa(ispin), &
    1261              :                                        qs_env=qs_env, gapw=(gapw .OR. gapw_xc), &
    1262          386 :                                        calculate_forces=.TRUE.)
    1263              :             END DO
    1264              :          END IF
    1265              :       ELSE ! original GPW with Standard Hartree as Potential
    1266         1968 :          DO ispin = 1, nspins
    1267         1038 :             CALL pw_transfer(vh_rspace, vhxc_rspace)
    1268         1038 :             CALL pw_axpy(vxc_rspace(ispin), vhxc_rspace)
    1269              :             CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1270              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1271         1968 :                                     qs_env=qs_env, gapw=gapw, calculate_forces=.TRUE.)
    1272              :          END DO
    1273              :       END IF
    1274              : 
    1275         1146 :       IF (debug_forces) THEN
    1276          664 :          fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1277          166 :          CALL para_env%sum(fodeb)
    1278          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVhxc[D^GS]   ", fodeb
    1279              :       END IF
    1280         1146 :       IF (debug_stress .AND. use_virial) THEN
    1281            0 :          stdeb = fconv*(virial%pv_virial - pv_loc)
    1282            0 :          CALL para_env%sum(stdeb)
    1283            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1284            0 :             'STRESS| INT Pz*dVhxc   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1285              :       END IF
    1286              : 
    1287         1146 :       IF (gapw .OR. gapw_xc) THEN
    1288              :          ! HXC term
    1289          702 :          IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1290          216 :          IF (gapw) CALL update_ks_atom(qs_env, scrm, mpa, forces=.TRUE., tddft=.FALSE., &
    1291          176 :                                        rho_atom_external=local_rho_set_gs%rho_atom_set)
    1292          216 :          IF (myfun /= xc_none) CALL update_ks_atom(qs_env, scrm, mpa, forces=.TRUE., tddft=.FALSE., &
    1293          192 :                                                    rho_atom_external=local_rho_set_vxc%rho_atom_set)
    1294          216 :          IF (debug_forces) THEN
    1295          648 :             fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1296          162 :             CALL para_env%sum(fodeb)
    1297          162 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVhxc[D^GS]PAW ", fodeb
    1298              :          END IF
    1299              :          ! release local environments for GAPW
    1300          216 :          IF (myfun /= xc_none) THEN
    1301          192 :             IF (ASSOCIATED(local_rho_set_vxc)) CALL local_rho_set_release(local_rho_set_vxc)
    1302              :          END IF
    1303          216 :          IF (ASSOCIATED(local_rho_set_gs)) CALL local_rho_set_release(local_rho_set_gs)
    1304          216 :          IF (gapw) THEN
    1305          176 :             IF (ASSOCIATED(hartree_local_gs)) CALL hartree_local_release(hartree_local_gs)
    1306          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_gspace_gs)
    1307          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_rspace_gs)
    1308              :          END IF
    1309          216 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace_gs)
    1310          216 :          IF (ASSOCIATED(rho_r_gs)) THEN
    1311          434 :             DO ispin = 1, nspins
    1312          434 :                CALL auxbas_pw_pool%give_back_pw(rho_r_gs(ispin))
    1313              :             END DO
    1314          216 :             DEALLOCATE (rho_r_gs)
    1315              :          END IF
    1316          216 :          IF (ASSOCIATED(rho_g_gs)) THEN
    1317          434 :             DO ispin = 1, nspins
    1318          434 :                CALL auxbas_pw_pool%give_back_pw(rho_g_gs(ispin))
    1319              :             END DO
    1320          216 :             DEALLOCATE (rho_g_gs)
    1321              :          END IF
    1322              :       END IF !gapw
    1323              : 
    1324         1146 :       IF (ASSOCIATED(vtau_rspace)) THEN
    1325           32 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1326           32 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1327           64 :          DO ispin = 1, nspins
    1328              :             CALL integrate_v_rspace(v_rspace=vtau_rspace(ispin), &
    1329              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1330              :                                     qs_env=qs_env, gapw=(gapw .OR. gapw_xc), &
    1331           96 :                                     calculate_forces=.TRUE., compute_tau=.TRUE.)
    1332              :          END DO
    1333           32 :          IF (debug_forces) THEN
    1334            0 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1335            0 :             CALL para_env%sum(fodeb)
    1336            0 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dVxc_tau   ", fodeb
    1337              :          END IF
    1338           32 :          IF (debug_stress .AND. use_virial) THEN
    1339            0 :             stdeb = fconv*(virial%pv_virial - pv_loc)
    1340            0 :             CALL para_env%sum(stdeb)
    1341            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1342            0 :                'STRESS| INT Pz*dVxc_tau   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1343              :          END IF
    1344              :       END IF
    1345         1146 :       CALL auxbas_pw_pool%give_back_pw(vhxc_rspace)
    1346              : 
    1347              :       ! Stress-tensor Pz*v_Hxc[Pin]
    1348         1146 :       IF (use_virial) THEN
    1349         2236 :          virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1350              :       END IF
    1351              : 
    1352              :       ! KG Embedding
    1353              :       ! calculate kinetic energy potential and integrate with response density
    1354         1146 :       IF (dft_control%qs_control%do_kg) THEN
    1355           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed .OR. &
    1356              :              qs_env%kg_env%tnadd_method == kg_tnadd_embed_ri) THEN
    1357              : 
    1358           12 :             ekin_mol = 0.0_dp
    1359           12 :             IF (use_virial) THEN
    1360          104 :                pv_loc = virial%pv_virial
    1361              :             END IF
    1362              : 
    1363           12 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1364              :             CALL kg_ekin_subset(qs_env=qs_env, &
    1365              :                                 ks_matrix=scrm, &
    1366              :                                 ekin_mol=ekin_mol, &
    1367              :                                 calc_force=.TRUE., &
    1368              :                                 do_kernel=.FALSE., &
    1369           12 :                                 pmat_ext=mpa)
    1370           12 :             IF (debug_forces) THEN
    1371            0 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1372            0 :                CALL para_env%sum(fodeb)
    1373            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dVkg   ", fodeb
    1374              :             END IF
    1375           12 :             IF (debug_stress .AND. use_virial) THEN
    1376              :                !IF (iounit > 0) WRITE(iounit, *) &
    1377              :                !   "response_force | VOL 1st KG - v_KG[n_in]*n_z: ", ekin_mol
    1378            0 :                stdeb = 1.0_dp*fconv*ekin_mol
    1379            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1380            0 :                   'STRESS| VOL KG Pz*dVKG ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1381              : 
    1382            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    1383            0 :                CALL para_env%sum(stdeb)
    1384            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1385            0 :                   'STRESS| INT KG Pz*dVKG  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1386              : 
    1387            0 :                stdeb = fconv*virial%pv_xc
    1388            0 :                CALL para_env%sum(stdeb)
    1389            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1390            0 :                   'STRESS| GGA KG Pz*dVKG  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1391              :             END IF
    1392           12 :             IF (use_virial) THEN
    1393              :                ! Direct integral contribution
    1394          104 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1395              :             END IF
    1396              : 
    1397              :          END IF ! tnadd_method
    1398              :       END IF ! do_kg
    1399              : 
    1400         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1401              : 
    1402              :       !
    1403              :       ! Hartree potential of response density
    1404              :       !
    1405         8242 :       ALLOCATE (rhoz_r(nspins), rhoz_g(nspins))
    1406         2402 :       DO ispin = 1, nspins
    1407         1256 :          CALL auxbas_pw_pool%create_pw(rhoz_r(ispin))
    1408         2402 :          CALL auxbas_pw_pool%create_pw(rhoz_g(ispin))
    1409              :       END DO
    1410         1146 :       CALL auxbas_pw_pool%create_pw(rhoz_tot_gspace)
    1411         1146 :       CALL auxbas_pw_pool%create_pw(zv_hartree_rspace)
    1412         1146 :       CALL auxbas_pw_pool%create_pw(zv_hartree_gspace)
    1413              : 
    1414         1146 :       CALL pw_zero(rhoz_tot_gspace)
    1415         2402 :       DO ispin = 1, nspins
    1416              :          CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1417              :                                  rho=rhoz_r(ispin), rho_gspace=rhoz_g(ispin), &
    1418         1256 :                                  soft_valid=gapw)
    1419         2402 :          CALL pw_axpy(rhoz_g(ispin), rhoz_tot_gspace)
    1420              :       END DO
    1421         1146 :       NULLIFY (tauz_r, tauz_r_xc)
    1422         1146 :       IF (gapw_xc) THEN
    1423          200 :          ALLOCATE (rhoz_r_xc(nspins), rhoz_g_xc(nspins))
    1424           80 :          DO ispin = 1, nspins
    1425           40 :             CALL auxbas_pw_pool%create_pw(rhoz_r_xc(ispin))
    1426           80 :             CALL auxbas_pw_pool%create_pw(rhoz_g_xc(ispin))
    1427              :          END DO
    1428           80 :          DO ispin = 1, nspins
    1429              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1430              :                                     rho=rhoz_r_xc(ispin), rho_gspace=rhoz_g_xc(ispin), &
    1431           80 :                                     soft_valid=gapw_xc)
    1432              :          END DO
    1433              :       END IF
    1434              : 
    1435         1146 :       IF (needs_tau_response) THEN
    1436              :          BLOCK
    1437              :             TYPE(pw_c1d_gs_type) :: work_g
    1438           96 :             ALLOCATE (tauz_r(nspins))
    1439           32 :             CALL auxbas_pw_pool%create_pw(work_g)
    1440           64 :             DO ispin = 1, nspins
    1441           32 :                CALL auxbas_pw_pool%create_pw(tauz_r(ispin))
    1442              :                CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1443              :                                        rho=tauz_r(ispin), rho_gspace=work_g, &
    1444           64 :                                        soft_valid=gapw, compute_tau=.TRUE.)
    1445              :             END DO
    1446           64 :             CALL auxbas_pw_pool%give_back_pw(work_g)
    1447              :          END BLOCK
    1448           32 :          IF (gapw_xc) THEN
    1449              :             BLOCK
    1450              :                TYPE(pw_c1d_gs_type) :: work_g
    1451            0 :                ALLOCATE (tauz_r_xc(nspins))
    1452            0 :                CALL auxbas_pw_pool%create_pw(work_g)
    1453            0 :                DO ispin = 1, nspins
    1454            0 :                   CALL auxbas_pw_pool%create_pw(tauz_r_xc(ispin))
    1455              :                   CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1456              :                                           rho=tauz_r_xc(ispin), rho_gspace=work_g, &
    1457            0 :                                           soft_valid=gapw_xc, compute_tau=.TRUE.)
    1458              :                END DO
    1459            0 :                CALL auxbas_pw_pool%give_back_pw(work_g)
    1460              :             END BLOCK
    1461              :          END IF
    1462              :       END IF
    1463              : 
    1464              :       !
    1465         1146 :       IF (PRESENT(rhopz_r)) THEN
    1466         1010 :          DO ispin = 1, nspins
    1467         1010 :             CALL pw_copy(rhoz_r(ispin), rhopz_r(ispin))
    1468              :          END DO
    1469              :       END IF
    1470              : 
    1471         1146 :       IF (gapw_xc) THEN
    1472           40 :          CALL get_qs_env(qs_env=qs_env, rho_xc=rho_xc)
    1473              :       ELSE
    1474         1106 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1475              :       END IF
    1476              : 
    1477         1146 :       IF (dft_control%qs_control%gapw_control%accurate_xcint) THEN
    1478              :          ! GAPW Accurate integration
    1479          310 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1480           94 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1481           94 :          ALLOCATE (rho1)
    1482           94 :          CALL qs_rho_create(rho1)
    1483           94 :          IF (gapw_xc) THEN
    1484           12 :             CALL get_qs_env(qs_env=qs_env, rho_xc=rho0)
    1485           12 :             IF (ASSOCIATED(tauz_r_xc)) THEN
    1486              :                CALL qs_rho_set(rho1, rho_r=rhoz_r_xc, rho_g=rhoz_g_xc, tau_r=tauz_r_xc, &
    1487            0 :                                rho_r_valid=.TRUE., rho_g_valid=.TRUE., tau_r_valid=.TRUE.)
    1488              :             ELSE
    1489           12 :                CALL qs_rho_set(rho1, rho_r=rhoz_r_xc, rho_g=rhoz_g_xc)
    1490              :             END IF
    1491              :          ELSE
    1492           82 :             CALL get_qs_env(qs_env=qs_env, rho=rho0)
    1493           82 :             IF (ASSOCIATED(tauz_r)) THEN
    1494              :                CALL qs_rho_set(rho1, rho_r=rhoz_r, rho_g=rhoz_g, tau_r=tauz_r, &
    1495            0 :                                rho_r_valid=.TRUE., rho_g_valid=.TRUE., tau_r_valid=.TRUE.)
    1496              :             ELSE
    1497           82 :                CALL qs_rho_set(rho1, rho_r=rhoz_r, rho_g=rhoz_g)
    1498              :             END IF
    1499              :          END IF
    1500           94 :          CALL accint_weight_force(qs_env, rho0, rho1, 1, xc_section)
    1501           94 :          DEALLOCATE (rho1)
    1502           94 :          IF (debug_forces) THEN
    1503          288 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1504           72 :             CALL para_env%sum(fodeb)
    1505           72 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc*dw     ", fodeb
    1506              :          END IF
    1507           94 :          IF (debug_stress .AND. use_virial) THEN
    1508            0 :             stdeb = fconv*(virial%pv_virial - stdeb)
    1509            0 :             CALL para_env%sum(stdeb)
    1510            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1511            0 :                'STRESS| INT Pz*dVxc*dw     ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1512              :          END IF
    1513              :       END IF
    1514              : 
    1515              :       ! Stress-tensor contribution second derivative
    1516              :       ! Volume : int v_H[n^z]*n_in
    1517              :       ! Volume : int epsilon_xc*n_z
    1518         1146 :       IF (use_virial) THEN
    1519              : 
    1520          172 :          CALL get_qs_env(qs_env, rho=rho)
    1521          172 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace)
    1522              : 
    1523              :          ! Get the total input density in g-space [ions + electrons]
    1524          172 :          CALL calc_rho_tot_gspace(rho_tot_gspace, qs_env, rho)
    1525              : 
    1526          172 :          h_stress(:, :) = 0.0_dp
    1527              :          ! calculate associated hartree potential
    1528              :          ! This term appears twice in the derivation of the equations
    1529              :          ! v_H[n_in]*n_z and v_H[n_z]*n_in
    1530              :          ! due to symmetry we only need to call this routine once,
    1531              :          ! and count the Volume and Green function contribution
    1532              :          ! which is stored in h_stress twice
    1533              :          CALL pw_poisson_solve(poisson_env, &
    1534              :                                density=rhoz_tot_gspace, &     ! n_z
    1535              :                                ehartree=ehartree, &
    1536              :                                vhartree=zv_hartree_gspace, &  ! v_H[n_z]
    1537              :                                h_stress=h_stress, &
    1538          172 :                                aux_density=rho_tot_gspace)  ! n_in
    1539              : 
    1540          172 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace)
    1541              : 
    1542              :          ! Stress tensor Green function contribution
    1543         2236 :          virial%pv_ehartree = virial%pv_ehartree + 2.0_dp*h_stress/REAL(para_env%num_pe, dp)
    1544         2236 :          virial%pv_virial = virial%pv_virial + 2.0_dp*h_stress/REAL(para_env%num_pe, dp)
    1545              : 
    1546          172 :          IF (debug_stress) THEN
    1547            0 :             stdeb = -1.0_dp*fconv*ehartree
    1548            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1549            0 :                'STRESS| VOL 1st v_H[n_z]*n_in  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1550            0 :             stdeb = -1.0_dp*fconv*ehartree
    1551            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1552            0 :                'STRESS| VOL 2nd v_H[n_in]*n_z  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1553            0 :             stdeb = fconv*(h_stress/REAL(para_env%num_pe, dp))
    1554            0 :             CALL para_env%sum(stdeb)
    1555            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1556            0 :                'STRESS| GREEN 1st v_H[n_z]*n_in  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1557            0 :             stdeb = fconv*(h_stress/REAL(para_env%num_pe, dp))
    1558            0 :             CALL para_env%sum(stdeb)
    1559            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1560            0 :                'STRESS| GREEN 2nd v_H[n_in]*n_z   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1561              :          END IF
    1562              : 
    1563              :          ! Stress tensor volume term: \int v_xc[n_in]*n_z
    1564              :          ! vxc_rspace already scaled, we need to unscale it!
    1565          172 :          exc = 0.0_dp
    1566          344 :          DO ispin = 1, nspins
    1567              :             exc = exc + pw_integral_ab(rhoz_r(ispin), vxc_rspace(ispin))/ &
    1568          344 :                   vxc_rspace(ispin)%pw_grid%dvol
    1569              :          END DO
    1570          172 :          IF (ASSOCIATED(vtau_rspace)) THEN
    1571           32 :             DO ispin = 1, nspins
    1572              :                exc = exc + pw_integral_ab(tauz_r(ispin), vtau_rspace(ispin))/ &
    1573           32 :                      vtau_rspace(ispin)%pw_grid%dvol
    1574              :             END DO
    1575              :          END IF
    1576              : 
    1577              :          ! Add KG embedding correction
    1578          172 :          IF (dft_control%qs_control%do_kg) THEN
    1579           18 :             IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed .OR. &
    1580              :                 qs_env%kg_env%tnadd_method == kg_tnadd_embed_ri) THEN
    1581            8 :                exc = exc - ekin_mol
    1582              :             END IF
    1583              :          END IF
    1584              : 
    1585          172 :          IF (debug_stress) THEN
    1586            0 :             stdeb = -1.0_dp*fconv*exc
    1587            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1588            0 :                'STRESS| VOL 1st eps_XC[n_in]*n_z', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1589              :          END IF
    1590              : 
    1591              :       ELSE ! use_virial
    1592              : 
    1593              :          ! calculate associated hartree potential
    1594              :          ! contribution for both T and D^Z
    1595          974 :          IF (gapw) THEN
    1596          176 :             CALL pw_axpy(local_rho_set_t%rho0_mpole%rho0_s_gs, rhoz_tot_gspace)
    1597          176 :             IF (ASSOCIATED(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1598            0 :                CALL pw_axpy(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs, rhoz_tot_gspace)
    1599              :             END IF
    1600              :          END IF
    1601          974 :          CALL pw_poisson_solve(poisson_env, rhoz_tot_gspace, ehartree, zv_hartree_gspace)
    1602              : 
    1603              :       END IF ! use virial
    1604         1146 :       IF (gapw .OR. gapw_xc) THEN
    1605          216 :          IF (ASSOCIATED(local_rho_set_t)) CALL local_rho_set_release(local_rho_set_t)
    1606              :       END IF
    1607              : 
    1608         1644 :       IF (debug_forces) fodeb(1:3) = force(1)%rho_core(1:3, 1)
    1609         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_ehartree
    1610         1146 :       CALL pw_transfer(zv_hartree_gspace, zv_hartree_rspace)
    1611         1146 :       CALL pw_scale(zv_hartree_rspace, zv_hartree_rspace%pw_grid%dvol)
    1612              :       ! Getting nuclear force contribution from the core charge density (not for GAPW)
    1613         1146 :       CALL integrate_v_core_rspace(zv_hartree_rspace, qs_env)
    1614         1146 :       IF (debug_forces) THEN
    1615          664 :          fodeb(1:3) = force(1)%rho_core(1:3, 1) - fodeb(1:3)
    1616          166 :          CALL para_env%sum(fodeb)
    1617          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Vh(rhoz)*dncore ", fodeb
    1618              :       END IF
    1619         1146 :       IF (debug_stress .AND. use_virial) THEN
    1620            0 :          stdeb = fconv*(virial%pv_ehartree - stdeb)
    1621            0 :          CALL para_env%sum(stdeb)
    1622            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1623            0 :             'STRESS| INT Vh(rhoz)*dncore   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1624              :       END IF
    1625              : 
    1626              :       !
    1627         1146 :       IF (gapw_xc) THEN
    1628           40 :          CALL get_qs_env(qs_env=qs_env, rho_xc=rho_xc)
    1629              :       ELSE
    1630         1106 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1631              :       END IF
    1632         1146 :       IF (dft_control%do_admm) THEN
    1633          256 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1634          256 :          xc_section => admm_env%xc_section_primary
    1635              :       ELSE
    1636          890 :          xc_section => section_vals_get_subs_vals(qs_env%input, "DFT%XC")
    1637              :       END IF
    1638              : 
    1639         1146 :       IF (use_virial) THEN
    1640         2236 :          virial%pv_xc = 0.0_dp
    1641              :       END IF
    1642              :       !
    1643         1146 :       NULLIFY (v_xc, v_xc_tau)
    1644         1146 :       IF (gapw_xc) THEN
    1645              :          CALL create_kernel(qs_env, vxc=v_xc, vxc_tau=v_xc_tau, &
    1646              :                             rho=rho_xc, rho1_r=rhoz_r_xc, rho1_g=rhoz_g_xc, tau1_r=tauz_r_xc, &
    1647           40 :                             xc_section=xc_section, compute_virial=use_virial, virial_xc=virial%pv_xc)
    1648              :       ELSE
    1649              :          CALL create_kernel(qs_env, vxc=v_xc, vxc_tau=v_xc_tau, &
    1650              :                             rho=rho, rho1_r=rhoz_r, rho1_g=rhoz_g, tau1_r=tauz_r, &
    1651         1106 :                             xc_section=xc_section, compute_virial=use_virial, virial_xc=virial%pv_xc)
    1652              :       END IF
    1653              : 
    1654         1146 :       IF (gapw .OR. gapw_xc) THEN
    1655              :          !get local_rho_set for GS density and response potential / density
    1656          216 :          NULLIFY (local_rho_set_t)
    1657          216 :          CALL local_rho_set_create(local_rho_set_t)
    1658              :          CALL allocate_rho_atom_internals(local_rho_set_t%rho_atom_set, atomic_kind_set, &
    1659          216 :                                           qs_kind_set, dft_control, para_env)
    1660              :          CALL init_rho0(local_rho_set_t, qs_env, dft_control%qs_control%gapw_control, &
    1661          216 :                         zcore=0.0_dp)
    1662          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_t%rho0_mpole)
    1663              :          CALL calculate_rho_atom_coeff(qs_env, mpa(:), local_rho_set_t%rho_atom_set, &
    1664          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1665          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_t, do_rho0=gapw)
    1666          216 :          NULLIFY (local_rho_set_gs)
    1667          216 :          CALL local_rho_set_create(local_rho_set_gs)
    1668              :          CALL allocate_rho_atom_internals(local_rho_set_gs%rho_atom_set, atomic_kind_set, &
    1669          216 :                                           qs_kind_set, dft_control, para_env)
    1670          216 :          CALL init_rho0(local_rho_set_gs, qs_env, dft_control%qs_control%gapw_control)
    1671          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_gs%rho0_mpole)
    1672              :          CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_gs%rho_atom_set, &
    1673          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1674          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_gs, do_rho0=gapw)
    1675              :          ! compute response potential
    1676         1084 :          ALLOCATE (rho_r_t(nspins), rho_g_t(nspins))
    1677          434 :          DO ispin = 1, nspins
    1678          218 :             CALL auxbas_pw_pool%create_pw(rho_r_t(ispin))
    1679          434 :             CALL auxbas_pw_pool%create_pw(rho_g_t(ispin))
    1680              :          END DO
    1681          216 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace_t)
    1682          216 :          total_rho_t = 0.0_dp
    1683          216 :          CALL pw_zero(rho_tot_gspace_t)
    1684          434 :          DO ispin = 1, nspins
    1685              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1686              :                                     rho=rho_r_t(ispin), &
    1687              :                                     rho_gspace=rho_g_t(ispin), &
    1688              :                                     soft_valid=gapw, &
    1689          218 :                                     total_rho=total_rho_t(ispin))
    1690          434 :             CALL pw_axpy(rho_g_t(ispin), rho_tot_gspace_t)
    1691              :          END DO
    1692              :          ! add rho0 contributions to response density (only for Coulomb) only for gapw
    1693          216 :          IF (gapw) THEN
    1694          176 :             CALL pw_axpy(local_rho_set_t%rho0_mpole%rho0_s_gs, rho_tot_gspace_t)
    1695          176 :             IF (ASSOCIATED(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1696            0 :                CALL pw_axpy(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs, rho_tot_gspace_t)
    1697              :             END IF
    1698              :             ! compute response Coulomb potential
    1699          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_gspace_t)
    1700          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_rspace_t)
    1701          176 :             NULLIFY (hartree_local_t)
    1702          176 :             CALL hartree_local_create(hartree_local_t)
    1703          176 :             CALL init_coulomb_local(hartree_local_t, natom)
    1704          176 :             CALL pw_poisson_solve(poisson_env, rho_tot_gspace_t, hartree_t, v_hartree_gspace_t)
    1705          176 :             CALL pw_transfer(v_hartree_gspace_t, v_hartree_rspace_t)
    1706          176 :             CALL pw_scale(v_hartree_rspace_t, v_hartree_rspace_t%pw_grid%dvol)
    1707              :             !
    1708          584 :             IF (debug_forces) fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1)
    1709              :             CALL Vh_1c_gg_integrals(qs_env, hartree_t, hartree_local_t%ecoul_1c, local_rho_set_gs, para_env, tddft=.FALSE., &
    1710          176 :                                     local_rho_set_2nd=local_rho_set_t, core_2nd=.TRUE.) ! n^core for GS potential
    1711              :             CALL integrate_vhg0_rspace(qs_env, v_hartree_rspace_t, para_env, calculate_forces=.TRUE., &
    1712          176 :                                        local_rho_set=local_rho_set_gs, local_rho_set_2nd=local_rho_set_t)
    1713          176 :             IF (debug_forces) THEN
    1714          544 :                fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1) - fodeb(1:3)
    1715          136 :                CALL para_env%sum(fodeb)
    1716          136 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Vh(T)*dncore PAWg0", fodeb
    1717              :             END IF
    1718              :          END IF !gapw
    1719              :       END IF !gapw
    1720              : 
    1721         1146 :       IF (gapw .OR. gapw_xc) THEN
    1722              :          !GAPW compute atomic fxc contributions
    1723          216 :          IF (myfun /= xc_none) THEN
    1724              :             ! local_rho_set_f
    1725          192 :             NULLIFY (local_rho_set_f)
    1726          192 :             CALL local_rho_set_create(local_rho_set_f)
    1727              :             CALL allocate_rho_atom_internals(local_rho_set_f%rho_atom_set, atomic_kind_set, &
    1728          192 :                                              qs_kind_set, dft_control, para_env)
    1729              :             CALL calculate_rho_atom_coeff(qs_env, mpa, local_rho_set_f%rho_atom_set, &
    1730          192 :                                           qs_kind_set, oce, sab_orb, para_env)
    1731          192 :             CALL prepare_gapw_den(qs_env, local_rho_set_f, do_rho0=.FALSE.)
    1732              :             ! add hard and soft atomic contributions
    1733              :             CALL calculate_xc_2nd_deriv_atom(local_rho_set_gs%rho_atom_set, &
    1734              :                                              local_rho_set_f%rho_atom_set, &
    1735              :                                              qs_env, xc_section, para_env, &
    1736          192 :                                              do_triplet=.FALSE.)
    1737              :          END IF ! myfun
    1738              :       END IF
    1739              : 
    1740              :       ! Stress-tensor XC-kernel GGA contribution
    1741         1146 :       IF (use_virial) THEN
    1742         2236 :          virial%pv_exc = virial%pv_exc + virial%pv_xc
    1743         2236 :          virial%pv_virial = virial%pv_virial + virial%pv_xc
    1744              :       END IF
    1745              : 
    1746         1146 :       IF (debug_stress .AND. use_virial) THEN
    1747            0 :          stdeb = 1.0_dp*fconv*virial%pv_xc
    1748            0 :          CALL para_env%sum(stdeb)
    1749            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1750            0 :             'STRESS| GGA 2nd Pin*dK*rhoz', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1751              :       END IF
    1752              : 
    1753              :       ! Stress-tensor integral contribution of 2nd derivative terms
    1754         1146 :       IF (use_virial) THEN
    1755         2236 :          pv_loc = virial%pv_virial
    1756              :       END IF
    1757              : 
    1758         1146 :       CALL get_qs_env(qs_env=qs_env, rho=rho)
    1759         1146 :       CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    1760         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1761              : 
    1762         2402 :       DO ispin = 1, nspins
    1763         2402 :          CALL pw_scale(v_xc(ispin), v_xc(ispin)%pw_grid%dvol)
    1764              :       END DO
    1765         1146 :       IF ((.NOT. (gapw)) .AND. (.NOT. gapw_xc)) THEN
    1766          942 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1767         1968 :          DO ispin = 1, nspins
    1768         1038 :             CALL pw_axpy(zv_hartree_rspace, v_xc(ispin)) ! Hartree potential of response density
    1769              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1770              :                                     v_rspace=v_xc(ispin), &
    1771              :                                     hmat=matrix_hz(ispin), &
    1772              :                                     pmat=matrix_p(ispin, 1), &
    1773              :                                     gapw=.FALSE., &
    1774         1968 :                                     calculate_forces=.TRUE.)
    1775              :          END DO
    1776          930 :          IF (debug_forces) THEN
    1777           16 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1778            4 :             CALL para_env%sum(fodeb)
    1779            4 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKhxc*rhoz ", fodeb
    1780              :          END IF
    1781              :       ELSE
    1782          702 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1783          216 :          IF (myfun /= xc_none) THEN
    1784          386 :             DO ispin = 1, nspins
    1785              :                CALL integrate_v_rspace(qs_env=qs_env, &
    1786              :                                        v_rspace=v_xc(ispin), &
    1787              :                                        hmat=matrix_hz(ispin), &
    1788              :                                        pmat=matrix_p(ispin, 1), &
    1789              :                                        gapw=.TRUE., &
    1790          386 :                                        calculate_forces=.TRUE.)
    1791              :             END DO
    1792              :          END IF ! my_fun
    1793              :          ! Coulomb T+Dz
    1794          434 :          DO ispin = 1, nspins
    1795          218 :             CALL pw_zero(v_xc(ispin))
    1796          218 :             IF (gapw) THEN ! Hartree potential of response density
    1797          178 :                CALL pw_axpy(v_hartree_rspace_t, v_xc(ispin))
    1798           40 :             ELSEIF (gapw_xc) THEN
    1799           40 :                CALL pw_axpy(zv_hartree_rspace, v_xc(ispin))
    1800              :             END IF
    1801              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1802              :                                     v_rspace=v_xc(ispin), &
    1803              :                                     hmat=matrix_ht(ispin), &
    1804              :                                     pmat=matrix_p(ispin, 1), &
    1805              :                                     gapw=gapw, &
    1806          434 :                                     calculate_forces=.TRUE.)
    1807              :          END DO
    1808          216 :          IF (debug_forces) THEN
    1809          648 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1810          162 :             CALL para_env%sum(fodeb)
    1811          162 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKhxc*rhoz ", fodeb
    1812              :          END IF
    1813              :       END IF
    1814              : 
    1815         1146 :       IF (gapw .OR. gapw_xc) THEN
    1816              :          ! compute hard and soft atomic contributions
    1817          216 :          IF (myfun /= xc_none) THEN
    1818          606 :             IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1819              :             CALL update_ks_atom(qs_env, matrix_hz, matrix_p, forces=.TRUE., tddft=.FALSE., &
    1820          192 :                                 rho_atom_external=local_rho_set_f%rho_atom_set)
    1821          192 :             IF (debug_forces) THEN
    1822          552 :                fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1823          138 :                CALL para_env%sum(fodeb)
    1824          138 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: P^GS*dKxc*(Dz+T) PAW", fodeb
    1825              :             END IF
    1826              :          END IF !myfun
    1827              :          ! Coulomb contributions
    1828          216 :          IF (gapw) THEN
    1829          584 :             IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1830              :             CALL update_ks_atom(qs_env, matrix_ht, matrix_p, forces=.TRUE., tddft=.FALSE., &
    1831          176 :                                 rho_atom_external=local_rho_set_t%rho_atom_set)
    1832          176 :             IF (debug_forces) THEN
    1833          544 :                fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1834          136 :                CALL para_env%sum(fodeb)
    1835          136 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: P^GS*dKh*(Dz+T) PAW", fodeb
    1836              :             END IF
    1837              :          END IF
    1838              :          ! add Coulomb and XC
    1839          434 :          DO ispin = 1, nspins
    1840          434 :             CALL dbcsr_add(matrix_hz(ispin)%matrix, matrix_ht(ispin)%matrix, 1.0_dp, 1.0_dp)
    1841              :          END DO
    1842              : 
    1843              :          ! release
    1844          216 :          IF (myfun /= xc_none) THEN
    1845          192 :             IF (ASSOCIATED(local_rho_set_f)) CALL local_rho_set_release(local_rho_set_f)
    1846              :          END IF
    1847          216 :          IF (ASSOCIATED(local_rho_set_t)) CALL local_rho_set_release(local_rho_set_t)
    1848          216 :          IF (ASSOCIATED(local_rho_set_gs)) CALL local_rho_set_release(local_rho_set_gs)
    1849          216 :          IF (gapw) THEN
    1850          176 :             IF (ASSOCIATED(hartree_local_t)) CALL hartree_local_release(hartree_local_t)
    1851          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_gspace_t)
    1852          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_rspace_t)
    1853              :          END IF
    1854          216 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace_t)
    1855          434 :          DO ispin = 1, nspins
    1856          218 :             CALL auxbas_pw_pool%give_back_pw(rho_r_t(ispin))
    1857          434 :             CALL auxbas_pw_pool%give_back_pw(rho_g_t(ispin))
    1858              :          END DO
    1859          216 :          DEALLOCATE (rho_r_t, rho_g_t)
    1860              :       END IF ! gapw
    1861              : 
    1862         1146 :       IF (debug_stress .AND. use_virial) THEN
    1863            0 :          stdeb = fconv*(virial%pv_virial - stdeb)
    1864            0 :          CALL para_env%sum(stdeb)
    1865            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1866            0 :             'STRESS| INT 2nd f_Hxc[Pz]*Pin', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1867              :       END IF
    1868              :       !
    1869         1146 :       IF (ASSOCIATED(v_xc_tau)) THEN
    1870           32 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1871           32 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1872           64 :          DO ispin = 1, nspins
    1873           32 :             CALL pw_scale(v_xc_tau(ispin), v_xc_tau(ispin)%pw_grid%dvol)
    1874              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1875              :                                     v_rspace=v_xc_tau(ispin), &
    1876              :                                     hmat=matrix_hz(ispin), &
    1877              :                                     pmat=matrix_p(ispin, 1), &
    1878              :                                     compute_tau=.TRUE., &
    1879              :                                     gapw=(gapw .OR. gapw_xc), &
    1880           96 :                                     calculate_forces=.TRUE.)
    1881              :          END DO
    1882           32 :          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*dKtau*tauz ", fodeb
    1886              :          END IF
    1887              :       END IF
    1888         1146 :       IF (debug_stress .AND. use_virial) THEN
    1889            0 :          stdeb = fconv*(virial%pv_virial - stdeb)
    1890            0 :          CALL para_env%sum(stdeb)
    1891            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1892            0 :             'STRESS| INT 2nd f_xctau[Pz]*Pin', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1893              :       END IF
    1894              :       ! Stress-tensor integral contribution of 2nd derivative terms
    1895         1146 :       IF (use_virial) THEN
    1896         2236 :          virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1897              :       END IF
    1898              : 
    1899              :       ! KG Embedding
    1900              :       ! calculate kinetic energy kernel, folded with response density for partial integration
    1901         1146 :       IF (dft_control%qs_control%do_kg) THEN
    1902           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed) THEN
    1903           12 :             ekin_mol = 0.0_dp
    1904           12 :             IF (use_virial) THEN
    1905          104 :                pv_loc = virial%pv_virial
    1906              :             END IF
    1907              : 
    1908           12 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1909          108 :             IF (use_virial) virial%pv_xc = 0.0_dp
    1910              :             CALL kg_ekin_subset(qs_env=qs_env, &
    1911              :                                 ks_matrix=matrix_hz, &
    1912              :                                 ekin_mol=ekin_mol, &
    1913              :                                 calc_force=.TRUE., &
    1914              :                                 do_kernel=.TRUE., &
    1915           12 :                                 pmat_ext=matrix_pz)
    1916              : 
    1917           12 :             IF (debug_forces) THEN
    1918            0 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1919            0 :                CALL para_env%sum(fodeb)
    1920            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*d(Kkg)*rhoz ", fodeb
    1921              :             END IF
    1922           12 :             IF (debug_stress .AND. use_virial) THEN
    1923            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    1924            0 :                CALL para_env%sum(stdeb)
    1925            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1926            0 :                   'STRESS| INT KG Pin*d(KKG)*rhoz    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1927              : 
    1928            0 :                stdeb = fconv*(virial%pv_xc)
    1929            0 :                CALL para_env%sum(stdeb)
    1930            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1931            0 :                   'STRESS| GGA KG Pin*d(KKG)*rhoz    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1932              :             END IF
    1933              : 
    1934              :             ! Stress tensor
    1935           12 :             IF (use_virial) THEN
    1936              :                ! XC-kernel Integral contribution
    1937          104 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1938              : 
    1939              :                ! XC-kernel GGA contribution
    1940          104 :                virial%pv_exc = virial%pv_exc - virial%pv_xc
    1941          104 :                virial%pv_virial = virial%pv_virial - virial%pv_xc
    1942          104 :                virial%pv_xc = 0.0_dp
    1943              :             END IF
    1944              :          END IF
    1945              :       END IF
    1946         1146 :       CALL auxbas_pw_pool%give_back_pw(rhoz_tot_gspace)
    1947         1146 :       CALL auxbas_pw_pool%give_back_pw(zv_hartree_gspace)
    1948         1146 :       CALL auxbas_pw_pool%give_back_pw(zv_hartree_rspace)
    1949         2402 :       DO ispin = 1, nspins
    1950         1256 :          CALL auxbas_pw_pool%give_back_pw(rhoz_r(ispin))
    1951         1256 :          CALL auxbas_pw_pool%give_back_pw(rhoz_g(ispin))
    1952         2402 :          CALL auxbas_pw_pool%give_back_pw(v_xc(ispin))
    1953              :       END DO
    1954         1146 :       DEALLOCATE (rhoz_r, rhoz_g, v_xc)
    1955         1146 :       IF (gapw_xc) THEN
    1956           80 :          DO ispin = 1, nspins
    1957           40 :             CALL auxbas_pw_pool%give_back_pw(rhoz_r_xc(ispin))
    1958           80 :             CALL auxbas_pw_pool%give_back_pw(rhoz_g_xc(ispin))
    1959              :          END DO
    1960           40 :          DEALLOCATE (rhoz_r_xc, rhoz_g_xc)
    1961              :       END IF
    1962         1146 :       IF (ASSOCIATED(v_xc_tau)) THEN
    1963           64 :          DO ispin = 1, nspins
    1964           32 :             CALL auxbas_pw_pool%give_back_pw(tauz_r(ispin))
    1965           64 :             CALL auxbas_pw_pool%give_back_pw(v_xc_tau(ispin))
    1966              :          END DO
    1967           32 :          DEALLOCATE (tauz_r, v_xc_tau)
    1968           32 :          IF (ASSOCIATED(tauz_r_xc)) THEN
    1969            0 :             DO ispin = 1, nspins
    1970            0 :                CALL auxbas_pw_pool%give_back_pw(tauz_r_xc(ispin))
    1971              :             END DO
    1972            0 :             DEALLOCATE (tauz_r_xc)
    1973              :          END IF
    1974              :       END IF
    1975         1146 :       IF (debug_forces) THEN
    1976          498 :          ALLOCATE (ftot3(3, natom))
    1977          166 :          CALL total_qs_force(ftot3, force, atomic_kind_set)
    1978          664 :          fodeb(1:3) = ftot3(1:3, 1) - ftot2(1:3, 1)
    1979          166 :          CALL para_env%sum(fodeb)
    1980          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*V(rhoz)", fodeb
    1981              :       END IF
    1982         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1983         1146 :       CALL dbcsr_deallocate_matrix_set(matrix_ht)
    1984              : 
    1985              :       ! -----------------------------------------
    1986              :       ! Apply ADMM exchange correction
    1987              :       ! -----------------------------------------
    1988              : 
    1989         1146 :       IF (dft_control%do_admm) THEN
    1990              :          ! volume term
    1991          256 :          exc_aux_fit = 0.0_dp
    1992              : 
    1993          256 :          IF (qs_env%admm_env%aux_exch_func == do_admm_aux_exch_func_none) THEN
    1994              :             ! nothing to do
    1995          112 :             NULLIFY (mpz, mhz, mhx, mhy)
    1996              :          ELSE
    1997              :             ! add ADMM xc_section_aux terms: Pz*Vxc + P0*K0[rhoz]
    1998          144 :             CALL get_qs_env(qs_env, admm_env=admm_env)
    1999              :             CALL get_admm_env(admm_env, rho_aux_fit=rho_aux_fit, matrix_s_aux_fit=scrm, &
    2000          144 :                               task_list_aux_fit=task_list_aux_fit)
    2001              :             !
    2002          144 :             NULLIFY (mpz, mhz, mhx, mhy)
    2003          144 :             CALL dbcsr_allocate_matrix_set(mhx, nspins, 1)
    2004          144 :             CALL dbcsr_allocate_matrix_set(mhy, nspins, 1)
    2005          144 :             CALL dbcsr_allocate_matrix_set(mpz, nspins, 1)
    2006          296 :             DO ispin = 1, nspins
    2007          152 :                ALLOCATE (mhx(ispin, 1)%matrix)
    2008          152 :                CALL dbcsr_create(mhx(ispin, 1)%matrix, template=scrm(1)%matrix)
    2009          152 :                CALL dbcsr_copy(mhx(ispin, 1)%matrix, scrm(1)%matrix)
    2010          152 :                CALL dbcsr_set(mhx(ispin, 1)%matrix, 0.0_dp)
    2011          152 :                ALLOCATE (mhy(ispin, 1)%matrix)
    2012          152 :                CALL dbcsr_create(mhy(ispin, 1)%matrix, template=scrm(1)%matrix)
    2013          152 :                CALL dbcsr_copy(mhy(ispin, 1)%matrix, scrm(1)%matrix)
    2014          152 :                CALL dbcsr_set(mhy(ispin, 1)%matrix, 0.0_dp)
    2015          152 :                ALLOCATE (mpz(ispin, 1)%matrix)
    2016          296 :                IF (do_ex) THEN
    2017           94 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=p_env%p1_admm(ispin)%matrix)
    2018           94 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, p_env%p1_admm(ispin)%matrix)
    2019              :                   CALL dbcsr_add(mpz(ispin, 1)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2020           94 :                                  1.0_dp, 1.0_dp)
    2021              :                ELSE
    2022           58 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=matrix_pz_admm(ispin)%matrix)
    2023           58 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, matrix_pz_admm(ispin)%matrix)
    2024              :                END IF
    2025              :             END DO
    2026              :             !
    2027          144 :             xc_section => admm_env%xc_section_aux
    2028          144 :             xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
    2029          144 :             needs = xc_functionals_get_needs(xc_fun_section, (nspins == 2), .TRUE.)
    2030          144 :             needs_tau_response_aux = needs%tau .OR. needs%tau_spin
    2031              :             ! Stress-tensor: integration contribution direct term
    2032              :             ! int Pz*v_xc[rho_admm]
    2033          144 :             IF (use_virial) THEN
    2034          260 :                pv_loc = virial%pv_virial
    2035              :             END IF
    2036              : 
    2037          144 :             basis_type = "AUX_FIT"
    2038          144 :             task_list => task_list_aux_fit
    2039          144 :             IF (admm_env%do_gapw) THEN
    2040           14 :                basis_type = "AUX_FIT_SOFT"
    2041           14 :                task_list => admm_env%admm_gapw_env%task_list
    2042              :             END IF
    2043              :             !
    2044          180 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2045          144 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2046          296 :             DO ispin = 1, nspins
    2047              :                CALL integrate_v_rspace(v_rspace=vadmm_rspace(ispin), &
    2048              :                                        hmat=mhx(ispin, 1), pmat=mpz(ispin, 1), &
    2049              :                                        qs_env=qs_env, calculate_forces=.TRUE., &
    2050          152 :                                        basis_type=basis_type, task_list_external=task_list)
    2051          296 :                IF (ASSOCIATED(vadmm_tau_rspace)) THEN
    2052              :                   CALL integrate_v_rspace(v_rspace=vadmm_tau_rspace(ispin), &
    2053              :                                           hmat=mhx(ispin, 1), pmat=mpz(ispin, 1), &
    2054              :                                           qs_env=qs_env, calculate_forces=.TRUE., compute_tau=.TRUE., &
    2055            0 :                                           basis_type=basis_type, task_list_external=task_list)
    2056              :                END IF
    2057              :             END DO
    2058          144 :             IF (debug_forces) THEN
    2059           48 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2060           12 :                CALL para_env%sum(fodeb)
    2061           12 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc(rho_admm)", fodeb
    2062              :             END IF
    2063          144 :             IF (debug_stress .AND. use_virial) THEN
    2064            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    2065            0 :                CALL para_env%sum(stdeb)
    2066            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2067            0 :                   'STRESS| INT 1st Pz*dVxc(rho_admm)   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2068              :             END IF
    2069              :             ! Stress-tensor Pz_admm*v_xc[rho_admm]
    2070          144 :             IF (use_virial) THEN
    2071          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2072              :             END IF
    2073              :             !
    2074          144 :             IF (admm_env%do_gapw) THEN
    2075           14 :                CALL get_admm_env(admm_env, sab_aux_fit=sab_aux_fit)
    2076           50 :                IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    2077              :                CALL update_ks_atom(qs_env, mhx(:, 1), mpz(:, 1), forces=.TRUE., tddft=.FALSE., &
    2078              :                                    rho_atom_external=admm_env%admm_gapw_env%local_rho_set%rho_atom_set, &
    2079              :                                    kind_set_external=admm_env%admm_gapw_env%admm_kind_set, &
    2080              :                                    oce_external=admm_env%admm_gapw_env%oce, &
    2081           14 :                                    sab_external=sab_aux_fit)
    2082           14 :                IF (debug_forces) THEN
    2083           48 :                   fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    2084           12 :                   CALL para_env%sum(fodeb)
    2085           12 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc(rho_admm)PAW", fodeb
    2086              :                END IF
    2087              :             END IF
    2088              :             !
    2089              :             ! rhoz_aux
    2090          144 :             NULLIFY (rhoz_g_aux, rhoz_r_aux, rhoz_tau_r_aux)
    2091         1024 :             ALLOCATE (rhoz_r_aux(nspins), rhoz_g_aux(nspins))
    2092          296 :             DO ispin = 1, nspins
    2093          152 :                CALL auxbas_pw_pool%create_pw(rhoz_r_aux(ispin))
    2094          296 :                CALL auxbas_pw_pool%create_pw(rhoz_g_aux(ispin))
    2095              :             END DO
    2096          296 :             DO ispin = 1, nspins
    2097              :                CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpz(ispin, 1)%matrix, &
    2098              :                                        rho=rhoz_r_aux(ispin), rho_gspace=rhoz_g_aux(ispin), &
    2099          296 :                                        basis_type=basis_type, task_list_external=task_list)
    2100              :             END DO
    2101          144 :             IF (needs_tau_response_aux .OR. ASSOCIATED(vadmm_tau_rspace)) THEN
    2102              :                BLOCK
    2103              :                   TYPE(pw_c1d_gs_type) :: work_g
    2104            0 :                   ALLOCATE (rhoz_tau_r_aux(nspins))
    2105            0 :                   CALL auxbas_pw_pool%create_pw(work_g)
    2106            0 :                   DO ispin = 1, nspins
    2107            0 :                      CALL auxbas_pw_pool%create_pw(rhoz_tau_r_aux(ispin))
    2108              :                      CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpz(ispin, 1)%matrix, &
    2109              :                                              rho=rhoz_tau_r_aux(ispin), rho_gspace=work_g, &
    2110              :                                              basis_type=basis_type, task_list_external=task_list, &
    2111            0 :                                              compute_tau=.TRUE.)
    2112              :                   END DO
    2113            0 :                   CALL auxbas_pw_pool%give_back_pw(work_g)
    2114              :                END BLOCK
    2115              :             END IF
    2116              :             !
    2117              :             ! Add ADMM volume contribution to stress tensor
    2118          144 :             IF (use_virial) THEN
    2119              : 
    2120              :                ! Stress tensor volume term: \int v_xc[n_in_admm]*n_z_admm
    2121              :                ! vadmm_rspace already scaled, we need to unscale it!
    2122           40 :                DO ispin = 1, nspins
    2123              :                   exc_aux_fit = exc_aux_fit + pw_integral_ab(rhoz_r_aux(ispin), vadmm_rspace(ispin))/ &
    2124           40 :                                 vadmm_rspace(ispin)%pw_grid%dvol
    2125              :                END DO
    2126           20 :                IF (ASSOCIATED(vadmm_tau_rspace) .AND. ASSOCIATED(rhoz_tau_r_aux)) THEN
    2127            0 :                   DO ispin = 1, nspins
    2128              :                      exc_aux_fit = exc_aux_fit + pw_integral_ab(rhoz_tau_r_aux(ispin), vadmm_tau_rspace(ispin))/ &
    2129            0 :                                    vadmm_tau_rspace(ispin)%pw_grid%dvol
    2130              :                   END DO
    2131              :                END IF
    2132              : 
    2133           20 :                IF (debug_stress) THEN
    2134            0 :                   stdeb = -1.0_dp*fconv*exc_aux_fit
    2135            0 :                   IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T43,2(1X,ES19.11))") &
    2136            0 :                      'STRESS| VOL 1st eps_XC[n_in_admm]*n_z_admm', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2137              :                END IF
    2138              : 
    2139              :             END IF
    2140              :             !
    2141          144 :             NULLIFY (v_xc, v_xc_tau)
    2142              : 
    2143          384 :             IF (use_virial) virial%pv_xc = 0.0_dp
    2144              : 
    2145              :             CALL create_kernel(qs_env=qs_env, &
    2146              :                                vxc=v_xc, &
    2147              :                                vxc_tau=v_xc_tau, &
    2148              :                                rho=rho_aux_fit, &
    2149              :                                rho1_r=rhoz_r_aux, &
    2150              :                                rho1_g=rhoz_g_aux, &
    2151              :                                tau1_r=rhoz_tau_r_aux, &
    2152              :                                xc_section=xc_section, &
    2153              :                                compute_virial=use_virial, &
    2154          144 :                                virial_xc=virial%pv_xc)
    2155              : 
    2156              :             ! Stress-tensor ADMM-kernel GGA contribution
    2157          144 :             IF (use_virial) THEN
    2158          260 :                virial%pv_exc = virial%pv_exc + virial%pv_xc
    2159          260 :                virial%pv_virial = virial%pv_virial + virial%pv_xc
    2160              :             END IF
    2161              : 
    2162          144 :             IF (debug_stress .AND. use_virial) THEN
    2163            0 :                stdeb = 1.0_dp*fconv*virial%pv_xc
    2164            0 :                CALL para_env%sum(stdeb)
    2165            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2166            0 :                   'STRESS| GGA 2nd Pin_admm*dK*rhoz_admm', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2167              :             END IF
    2168              :             !
    2169          144 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2170              :             ! Stress-tensor Pin*dK*rhoz_admm
    2171          144 :             IF (use_virial) THEN
    2172          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2173              :             END IF
    2174          180 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2175          144 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2176          296 :             DO ispin = 1, nspins
    2177          152 :                CALL dbcsr_set(mhy(ispin, 1)%matrix, 0.0_dp)
    2178          152 :                CALL pw_scale(v_xc(ispin), v_xc(ispin)%pw_grid%dvol)
    2179              :                CALL integrate_v_rspace(qs_env=qs_env, v_rspace=v_xc(ispin), &
    2180              :                                        hmat=mhy(ispin, 1), pmat=matrix_p(ispin, 1), &
    2181              :                                        calculate_forces=.TRUE., &
    2182          296 :                                        basis_type=basis_type, task_list_external=task_list)
    2183              :             END DO
    2184          144 :             IF (ASSOCIATED(v_xc_tau)) THEN
    2185            0 :                DO ispin = 1, nspins
    2186            0 :                   CALL pw_scale(v_xc_tau(ispin), v_xc_tau(ispin)%pw_grid%dvol)
    2187              :                   CALL integrate_v_rspace(qs_env=qs_env, v_rspace=v_xc_tau(ispin), &
    2188              :                                           hmat=mhy(ispin, 1), pmat=matrix_p(ispin, 1), &
    2189              :                                           calculate_forces=.TRUE., compute_tau=.TRUE., &
    2190            0 :                                           basis_type=basis_type, task_list_external=task_list)
    2191              :                END DO
    2192              :             END IF
    2193          144 :             IF (debug_forces) THEN
    2194           48 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2195           12 :                CALL para_env%sum(fodeb)
    2196           12 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dK*rhoz_admm ", fodeb
    2197              :             END IF
    2198          144 :             IF (debug_stress .AND. use_virial) THEN
    2199            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    2200            0 :                CALL para_env%sum(stdeb)
    2201            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2202            0 :                   'STRESS| INT 2nd Pin*dK*rhoz_admm   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2203              :             END IF
    2204              :             ! Stress-tensor Pin*dK*rhoz_admm
    2205          144 :             IF (use_virial) THEN
    2206          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2207              :             END IF
    2208              :             ! GAPW ADMM XC correction integrate weight contribution to force
    2209          144 :             IF (admm_env%do_gapw) THEN
    2210           50 :                IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2211           14 :                IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2212              : 
    2213           14 :                ALLOCATE (rho1)
    2214           14 :                CALL qs_rho_create(rho1)
    2215           14 :                IF (ASSOCIATED(rhoz_tau_r_aux)) THEN
    2216              :                   CALL qs_rho_set(rho1, rho_r=rhoz_r_aux, rho_g=rhoz_g_aux, &
    2217            0 :                                   tau_r=rhoz_tau_r_aux, tau_r_valid=.TRUE.)
    2218              :                ELSE
    2219           14 :                   CALL qs_rho_set(rho1, rho_r=rhoz_r_aux, rho_g=rhoz_g_aux)
    2220              :                END IF
    2221              :                !
    2222           14 :                CALL accint_weight_force(qs_env, rho_aux_fit, rho1, 1, xc_section)
    2223              :                !
    2224           14 :                DEALLOCATE (rho1)
    2225           14 :                IF (debug_forces) THEN
    2226           48 :                   fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2227           12 :                   CALL para_env%sum(fodeb)
    2228           12 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: dKxc*rhoz_admm*dw ", fodeb
    2229              :                END IF
    2230           14 :                IF (debug_stress .AND. use_virial) THEN
    2231            0 :                   stdeb = fconv*(virial%pv_virial - stdeb)
    2232            0 :                   CALL para_env%sum(stdeb)
    2233            0 :                   IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2234            0 :                      'STRESS| dKxc*rhoz_admm*dw', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2235              :                END IF
    2236              :             END IF
    2237              :             ! return ADMM response densities and potentials
    2238          296 :             DO ispin = 1, nspins
    2239          152 :                CALL auxbas_pw_pool%give_back_pw(v_xc(ispin))
    2240          152 :                IF (ASSOCIATED(v_xc_tau)) CALL auxbas_pw_pool%give_back_pw(v_xc_tau(ispin))
    2241          152 :                CALL auxbas_pw_pool%give_back_pw(rhoz_r_aux(ispin))
    2242          152 :                CALL auxbas_pw_pool%give_back_pw(rhoz_g_aux(ispin))
    2243          296 :                IF (ASSOCIATED(rhoz_tau_r_aux)) CALL auxbas_pw_pool%give_back_pw(rhoz_tau_r_aux(ispin))
    2244              :             END DO
    2245          144 :             DEALLOCATE (v_xc, rhoz_r_aux, rhoz_g_aux)
    2246          144 :             IF (ASSOCIATED(v_xc_tau)) DEALLOCATE (v_xc_tau)
    2247          144 :             IF (ASSOCIATED(rhoz_tau_r_aux)) DEALLOCATE (rhoz_tau_r_aux)
    2248              :             !
    2249          144 :             IF (admm_env%do_gapw) THEN
    2250           14 :                CALL local_rho_set_create(local_rhoz_set_admm)
    2251              :                CALL allocate_rho_atom_internals(local_rhoz_set_admm%rho_atom_set, atomic_kind_set, &
    2252           14 :                                                 admm_env%admm_gapw_env%admm_kind_set, dft_control, para_env)
    2253              :                CALL calculate_rho_atom_coeff(qs_env, mpz(:, 1), local_rhoz_set_admm%rho_atom_set, &
    2254              :                                              admm_env%admm_gapw_env%admm_kind_set, &
    2255           14 :                                              admm_env%admm_gapw_env%oce, sab_aux_fit, para_env)
    2256              :                CALL prepare_gapw_den(qs_env, local_rho_set=local_rhoz_set_admm, &
    2257           14 :                                      do_rho0=.FALSE., kind_set_external=admm_env%admm_gapw_env%admm_kind_set)
    2258              :                !compute the potential due to atomic densities
    2259              :                CALL calculate_xc_2nd_deriv_atom(admm_env%admm_gapw_env%local_rho_set%rho_atom_set, &
    2260              :                                                 local_rhoz_set_admm%rho_atom_set, &
    2261              :                                                 qs_env, xc_section, para_env, do_triplet=.FALSE., &
    2262           14 :                                                 kind_set_external=admm_env%admm_gapw_env%admm_kind_set)
    2263              :                !
    2264           50 :                IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    2265              :                CALL update_ks_atom(qs_env, mhy(:, 1), matrix_p(:, 1), forces=.TRUE., tddft=.FALSE., &
    2266              :                                    rho_atom_external=local_rhoz_set_admm%rho_atom_set, &
    2267              :                                    kind_set_external=admm_env%admm_gapw_env%admm_kind_set, &
    2268              :                                    oce_external=admm_env%admm_gapw_env%oce, &
    2269           14 :                                    sab_external=sab_aux_fit)
    2270           14 :                IF (debug_forces) THEN
    2271           48 :                   fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    2272           12 :                   CALL para_env%sum(fodeb)
    2273           12 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dK*rhoz_admm[PAW] ", fodeb
    2274              :                END IF
    2275           14 :                CALL local_rho_set_release(local_rhoz_set_admm)
    2276              :             END IF
    2277              :             !
    2278          144 :             nao = admm_env%nao_orb
    2279          144 :             nao_aux = admm_env%nao_aux_fit
    2280          144 :             ALLOCATE (dbwork)
    2281          144 :             CALL dbcsr_create(dbwork, template=matrix_hz(1)%matrix)
    2282          296 :             DO ispin = 1, nspins
    2283              :                CALL cp_dbcsr_sm_fm_multiply(mhy(ispin, 1)%matrix, admm_env%A, &
    2284          152 :                                             admm_env%work_aux_orb, nao)
    2285              :                CALL parallel_gemm('T', 'N', nao, nao, nao_aux, &
    2286              :                                   1.0_dp, admm_env%A, admm_env%work_aux_orb, 0.0_dp, &
    2287          152 :                                   admm_env%work_orb_orb)
    2288          152 :                CALL dbcsr_copy(dbwork, matrix_hz(ispin)%matrix)
    2289          152 :                CALL dbcsr_set(dbwork, 0.0_dp)
    2290          152 :                CALL copy_fm_to_dbcsr(admm_env%work_orb_orb, dbwork, keep_sparsity=.TRUE.)
    2291          296 :                CALL dbcsr_add(matrix_hz(ispin)%matrix, dbwork, 1.0_dp, 1.0_dp)
    2292              :             END DO
    2293          144 :             CALL dbcsr_release(dbwork)
    2294          144 :             DEALLOCATE (dbwork)
    2295          144 :             CALL dbcsr_deallocate_matrix_set(mpz)
    2296              :          END IF ! qs_env%admm_env%aux_exch_func == do_admm_aux_exch_func_none
    2297              :       END IF ! do_admm
    2298              : 
    2299              :       ! -----------------------------------------
    2300              :       !  HFX
    2301              :       ! -----------------------------------------
    2302              : 
    2303              :       ! HFX
    2304         1146 :       hfx_section => section_vals_get_subs_vals(xc_section, "HF")
    2305         1146 :       CALL section_vals_get(hfx_section, explicit=do_hfx)
    2306         1146 :       IF (do_hfx) THEN
    2307          490 :          CALL section_vals_get(hfx_section, n_repetition=n_rep_hf)
    2308          490 :          CPASSERT(n_rep_hf == 1)
    2309              :          CALL section_vals_val_get(hfx_section, "TREAT_LSD_IN_CORE", l_val=hfx_treat_lsd_in_core, &
    2310          490 :                                    i_rep_section=1)
    2311          490 :          mspin = 1
    2312          490 :          IF (hfx_treat_lsd_in_core) mspin = nspins
    2313         1306 :          IF (use_virial) virial%pv_fock_4c = 0.0_dp
    2314              :          !
    2315              :          CALL get_qs_env(qs_env=qs_env, rho=rho, x_data=x_data, &
    2316          490 :                          s_mstruct_changed=s_mstruct_changed)
    2317          490 :          distribute_fock_matrix = .TRUE.
    2318              : 
    2319              :          ! -----------------------------------------
    2320              :          !  HFX-ADMM
    2321              :          ! -----------------------------------------
    2322          490 :          IF (dft_control%do_admm) THEN
    2323          256 :             CALL get_qs_env(qs_env=qs_env, admm_env=admm_env)
    2324          256 :             CALL get_admm_env(admm_env, matrix_s_aux_fit=scrm, rho_aux_fit=rho_aux_fit)
    2325          256 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2326          256 :             NULLIFY (mpz, mhz, mpd, mhd)
    2327          256 :             CALL dbcsr_allocate_matrix_set(mpz, nspins, 1)
    2328          256 :             CALL dbcsr_allocate_matrix_set(mhz, nspins, 1)
    2329          256 :             CALL dbcsr_allocate_matrix_set(mpd, nspins, 1)
    2330          256 :             CALL dbcsr_allocate_matrix_set(mhd, nspins, 1)
    2331          532 :             DO ispin = 1, nspins
    2332          276 :                ALLOCATE (mhz(ispin, 1)%matrix, mhd(ispin, 1)%matrix)
    2333          276 :                CALL dbcsr_create(mhz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2334          276 :                CALL dbcsr_create(mhd(ispin, 1)%matrix, template=scrm(1)%matrix)
    2335          276 :                CALL dbcsr_copy(mhz(ispin, 1)%matrix, scrm(1)%matrix)
    2336          276 :                CALL dbcsr_copy(mhd(ispin, 1)%matrix, scrm(1)%matrix)
    2337          276 :                CALL dbcsr_set(mhz(ispin, 1)%matrix, 0.0_dp)
    2338          276 :                CALL dbcsr_set(mhd(ispin, 1)%matrix, 0.0_dp)
    2339          276 :                ALLOCATE (mpz(ispin, 1)%matrix)
    2340          276 :                IF (do_ex) THEN
    2341          162 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2342          162 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, p_env%p1_admm(ispin)%matrix)
    2343              :                   CALL dbcsr_add(mpz(ispin, 1)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2344          162 :                                  1.0_dp, 1.0_dp)
    2345              :                ELSE
    2346          114 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2347          114 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, matrix_pz_admm(ispin)%matrix)
    2348              :                END IF
    2349          532 :                mpd(ispin, 1)%matrix => matrix_p(ispin, 1)%matrix
    2350              :             END DO
    2351              :             !
    2352          256 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2353              : 
    2354              :                eh1 = 0.0_dp
    2355              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhz, eh1, rho_ao=mpz, &
    2356              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2357            6 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2358              : 
    2359              :                eh1 = 0.0_dp
    2360              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhd, eh1, rho_ao=mpd, &
    2361              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2362            6 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2363              : 
    2364              :             ELSE
    2365          500 :                DO ispin = 1, mspin
    2366              :                   eh1 = 0.0
    2367              :                   CALL integrate_four_center(qs_env, x_data, mhz, eh1, mpz, hfx_section, &
    2368              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2369          500 :                                              ispin=ispin)
    2370              :                END DO
    2371          500 :                DO ispin = 1, mspin
    2372              :                   eh1 = 0.0
    2373              :                   CALL integrate_four_center(qs_env, x_data, mhd, eh1, mpd, hfx_section, &
    2374              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2375          500 :                                              ispin=ispin)
    2376              :                END DO
    2377              :             END IF
    2378              :             !
    2379          256 :             CALL get_qs_env(qs_env, admm_env=admm_env)
    2380          256 :             CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
    2381          256 :             CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
    2382          256 :             nao = admm_env%nao_orb
    2383          256 :             nao_aux = admm_env%nao_aux_fit
    2384          256 :             ALLOCATE (dbwork)
    2385          256 :             CALL dbcsr_create(dbwork, template=matrix_hz(1)%matrix)
    2386          532 :             DO ispin = 1, nspins
    2387              :                CALL cp_dbcsr_sm_fm_multiply(mhz(ispin, 1)%matrix, admm_env%A, &
    2388          276 :                                             admm_env%work_aux_orb, nao)
    2389              :                CALL parallel_gemm('T', 'N', nao, nao, nao_aux, &
    2390              :                                   1.0_dp, admm_env%A, admm_env%work_aux_orb, 0.0_dp, &
    2391          276 :                                   admm_env%work_orb_orb)
    2392          276 :                CALL dbcsr_copy(dbwork, matrix_hz(ispin)%matrix)
    2393          276 :                CALL dbcsr_set(dbwork, 0.0_dp)
    2394          276 :                CALL copy_fm_to_dbcsr(admm_env%work_orb_orb, dbwork, keep_sparsity=.TRUE.)
    2395          532 :                CALL dbcsr_add(matrix_hz(ispin)%matrix, dbwork, 1.0_dp, 1.0_dp)
    2396              :             END DO
    2397          256 :             CALL dbcsr_release(dbwork)
    2398          256 :             DEALLOCATE (dbwork)
    2399              :             ! derivatives Tr (Pz [A(T)H dA/dR])
    2400          328 :             IF (debug_forces) fodeb(1:3) = force(1)%overlap_admm(1:3, 1)
    2401          256 :             IF (ASSOCIATED(mhx) .AND. ASSOCIATED(mhy)) THEN
    2402          296 :                DO ispin = 1, nspins
    2403          152 :                   CALL dbcsr_add(mhd(ispin, 1)%matrix, mhx(ispin, 1)%matrix, 1.0_dp, 1.0_dp)
    2404          296 :                   CALL dbcsr_add(mhz(ispin, 1)%matrix, mhy(ispin, 1)%matrix, 1.0_dp, 1.0_dp)
    2405              :                END DO
    2406              :             END IF
    2407          256 :             CALL qs_rho_get(rho, rho_ao=matrix_pd)
    2408          256 :             CALL admm_projection_derivative(qs_env, mhd(:, 1), mpa)
    2409          256 :             CALL admm_projection_derivative(qs_env, mhz(:, 1), matrix_pd)
    2410          256 :             IF (debug_forces) THEN
    2411           96 :                fodeb(1:3) = force(1)%overlap_admm(1:3, 1) - fodeb(1:3)
    2412           24 :                CALL para_env%sum(fodeb)
    2413           24 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*hfx*S' ", fodeb
    2414              :             END IF
    2415          256 :             CALL dbcsr_deallocate_matrix_set(mpz)
    2416          256 :             CALL dbcsr_deallocate_matrix_set(mhz)
    2417          256 :             CALL dbcsr_deallocate_matrix_set(mhd)
    2418          256 :             IF (ASSOCIATED(mhx) .AND. ASSOCIATED(mhy)) THEN
    2419          144 :                CALL dbcsr_deallocate_matrix_set(mhx)
    2420          144 :                CALL dbcsr_deallocate_matrix_set(mhy)
    2421              :             END IF
    2422          256 :             DEALLOCATE (mpd)
    2423              :          ELSE
    2424              :             ! -----------------------------------------
    2425              :             !  conventional HFX
    2426              :             ! -----------------------------------------
    2427         1920 :             ALLOCATE (mpz(nspins, 1), mhz(nspins, 1))
    2428          492 :             DO ispin = 1, nspins
    2429          258 :                mhz(ispin, 1)%matrix => matrix_hz(ispin)%matrix
    2430          492 :                mpz(ispin, 1)%matrix => mpa(ispin)%matrix
    2431              :             END DO
    2432              : 
    2433          234 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2434              : 
    2435              :                eh1 = 0.0_dp
    2436              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhz, eh1, rho_ao=mpz, &
    2437              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2438           18 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2439              :             ELSE
    2440          432 :                DO ispin = 1, mspin
    2441              :                   eh1 = 0.0
    2442              :                   CALL integrate_four_center(qs_env, x_data, mhz, eh1, mpz, hfx_section, &
    2443              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2444          432 :                                              ispin=ispin)
    2445              :                END DO
    2446              :             END IF
    2447          234 :             DEALLOCATE (mhz, mpz)
    2448              :          END IF
    2449              : 
    2450              :          ! -----------------------------------------
    2451              :          !  HFX FORCES
    2452              :          ! -----------------------------------------
    2453              : 
    2454          490 :          resp_only = .TRUE.
    2455          676 :          IF (debug_forces) fodeb(1:3) = force(1)%fock_4c(1:3, 1)
    2456          490 :          IF (dft_control%do_admm) THEN
    2457              :             ! -----------------------------------------
    2458              :             !  HFX-ADMM FORCES
    2459              :             ! -----------------------------------------
    2460          256 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2461          256 :             NULLIFY (matrix_pza)
    2462          256 :             CALL dbcsr_allocate_matrix_set(matrix_pza, nspins)
    2463          532 :             DO ispin = 1, nspins
    2464          276 :                ALLOCATE (matrix_pza(ispin)%matrix)
    2465          532 :                IF (do_ex) THEN
    2466          162 :                   CALL dbcsr_create(matrix_pza(ispin)%matrix, template=p_env%p1_admm(ispin)%matrix)
    2467          162 :                   CALL dbcsr_copy(matrix_pza(ispin)%matrix, p_env%p1_admm(ispin)%matrix)
    2468              :                   CALL dbcsr_add(matrix_pza(ispin)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2469          162 :                                  1.0_dp, 1.0_dp)
    2470              :                ELSE
    2471          114 :                   CALL dbcsr_create(matrix_pza(ispin)%matrix, template=matrix_pz_admm(ispin)%matrix)
    2472          114 :                   CALL dbcsr_copy(matrix_pza(ispin)%matrix, matrix_pz_admm(ispin)%matrix)
    2473              :                END IF
    2474              :             END DO
    2475          256 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2476              : 
    2477              :                CALL hfx_ri_update_forces(qs_env, x_data(1, 1)%ri_data, nspins, &
    2478              :                                          x_data(1, 1)%general_parameter%fraction, &
    2479              :                                          rho_ao=matrix_p, rho_ao_resp=matrix_pza, &
    2480            6 :                                          use_virial=use_virial, resp_only=resp_only)
    2481              :             ELSE
    2482              :                CALL derivatives_four_center(qs_env, matrix_p, matrix_pza, hfx_section, para_env, &
    2483          250 :                                             1, use_virial, resp_only=resp_only)
    2484              :             END IF
    2485          256 :             CALL dbcsr_deallocate_matrix_set(matrix_pza)
    2486              :          ELSE
    2487              :             ! -----------------------------------------
    2488              :             !  conventional HFX FORCES
    2489              :             ! -----------------------------------------
    2490          234 :             CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    2491          234 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2492              : 
    2493              :                CALL hfx_ri_update_forces(qs_env, x_data(1, 1)%ri_data, nspins, &
    2494              :                                          x_data(1, 1)%general_parameter%fraction, &
    2495              :                                          rho_ao=matrix_p, rho_ao_resp=mpa, &
    2496           18 :                                          use_virial=use_virial, resp_only=resp_only)
    2497              :             ELSE
    2498              :                CALL derivatives_four_center(qs_env, matrix_p, mpa, hfx_section, para_env, &
    2499          216 :                                             1, use_virial, resp_only=resp_only)
    2500              :             END IF
    2501              :          END IF ! do_admm
    2502              : 
    2503          490 :          IF (use_virial) THEN
    2504          884 :             virial%pv_exx = virial%pv_exx - virial%pv_fock_4c
    2505          884 :             virial%pv_virial = virial%pv_virial - virial%pv_fock_4c
    2506           68 :             virial%pv_calculate = .FALSE.
    2507              :          END IF
    2508              : 
    2509          490 :          IF (debug_forces) THEN
    2510          248 :             fodeb(1:3) = force(1)%fock_4c(1:3, 1) - fodeb(1:3)
    2511           62 :             CALL para_env%sum(fodeb)
    2512           62 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*hfx ", fodeb
    2513              :          END IF
    2514          490 :          IF (debug_stress .AND. use_virial) THEN
    2515            0 :             stdeb = -1.0_dp*fconv*virial%pv_fock_4c
    2516            0 :             CALL para_env%sum(stdeb)
    2517            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2518            0 :                'STRESS| Pz*hfx  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2519              :          END IF
    2520              :       END IF ! do_hfx
    2521              : 
    2522              :       ! Stress-tensor volume contributions
    2523              :       ! These need to be applied at the end of qs_force
    2524         1146 :       IF (use_virial) THEN
    2525              :          ! Adding mixed Hartree energy twice, due to symmetry
    2526          172 :          zehartree = zehartree + 2.0_dp*ehartree
    2527          172 :          zexc = zexc + exc
    2528              :          ! ADMM contribution handled differently in qs_force
    2529          172 :          IF (dft_control%do_admm) THEN
    2530           38 :             zexc_aux_fit = zexc_aux_fit + exc_aux_fit
    2531              :          END IF
    2532              :       END IF
    2533              : 
    2534              :       ! Overlap matrix
    2535              :       ! H(drho+dz) + Wz
    2536              :       ! If ground-state density matrix solved by diagonalization, then use this
    2537         1146 :       IF (dft_control%qs_control%do_ls_scf) THEN
    2538              :          ! Ground-state density has been calculated by LS
    2539           10 :          eps_filter = dft_control%qs_control%eps_filter_matrix
    2540           10 :          CALL calculate_whz_ao_matrix(qs_env, matrix_hz, matrix_wz, eps_filter)
    2541              :       ELSE
    2542         1136 :          IF (do_ex) THEN
    2543          642 :             matrix_wz => p_env%w1
    2544              :          END IF
    2545         1136 :          focc = 1.0_dp
    2546         1136 :          IF (nspins == 1) focc = 2.0_dp
    2547         1136 :          CALL get_qs_env(qs_env, mos=mos)
    2548         2382 :          DO ispin = 1, nspins
    2549         1246 :             CALL get_mo_set(mo_set=mos(ispin), homo=nocc)
    2550              :             CALL calculate_whz_matrix(mos(ispin)%mo_coeff, matrix_hz(ispin)%matrix, &
    2551         2382 :                                       matrix_wz(ispin)%matrix, focc, nocc)
    2552              :          END DO
    2553              :       END IF
    2554         1146 :       IF (nspins == 2) THEN
    2555              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2556          110 :                         alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
    2557              :       END IF
    2558              : 
    2559         1644 :       IF (debug_forces) fodeb(1:3) = force(1)%overlap(1:3, 1)
    2560         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_overlap
    2561         1146 :       NULLIFY (scrm)
    2562              :       CALL build_overlap_matrix(ks_env, matrix_s=scrm, &
    2563              :                                 matrix_name="OVERLAP MATRIX", &
    2564              :                                 basis_type_a="ORB", basis_type_b="ORB", &
    2565              :                                 sab_nl=sab_orb, calculate_forces=.TRUE., &
    2566         1146 :                                 matrix_p=matrix_wz(1)%matrix)
    2567              : 
    2568         1146 :       IF (SIZE(matrix_wz, 1) == 2) THEN
    2569              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2570          110 :                         alpha_scalar=1.0_dp, beta_scalar=-1.0_dp)
    2571              :       END IF
    2572              : 
    2573         1146 :       IF (debug_forces) THEN
    2574          664 :          fodeb(1:3) = force(1)%overlap(1:3, 1) - fodeb(1:3)
    2575          166 :          CALL para_env%sum(fodeb)
    2576          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Wz*dS ", fodeb
    2577              :       END IF
    2578         1146 :       IF (debug_stress .AND. use_virial) THEN
    2579            0 :          stdeb = fconv*(virial%pv_overlap - stdeb)
    2580            0 :          CALL para_env%sum(stdeb)
    2581            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2582            0 :             'STRESS| WHz   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2583              :       END IF
    2584         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    2585              : 
    2586         1146 :       IF (debug_forces) THEN
    2587          166 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    2588          664 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    2589          166 :          CALL para_env%sum(fodeb)
    2590          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Response Force", fodeb
    2591          664 :          fodeb(1:3) = ftot2(1:3, 1)
    2592          166 :          CALL para_env%sum(fodeb)
    2593          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Total Force ", fodeb
    2594          166 :          DEALLOCATE (ftot1, ftot2, ftot3)
    2595              :       END IF
    2596         1146 :       IF (debug_stress .AND. use_virial) THEN
    2597            0 :          stdeb = fconv*(virial%pv_virial - sttot)
    2598            0 :          CALL para_env%sum(stdeb)
    2599            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2600            0 :             'STRESS| Stress Response    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2601            0 :          stdeb = fconv*(virial%pv_virial)
    2602            0 :          CALL para_env%sum(stdeb)
    2603            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2604            0 :             'STRESS| Total Stress       ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2605              :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,3(1X,ES19.11))") &
    2606            0 :             stdeb(1, 1), stdeb(2, 2), stdeb(3, 3)
    2607            0 :          unitstr = "bar"
    2608              :       END IF
    2609              : 
    2610         1146 :       IF (do_ex) THEN
    2611          642 :          CALL dbcsr_deallocate_matrix_set(mpa)
    2612          642 :          CALL dbcsr_deallocate_matrix_set(matrix_hz)
    2613              :       END IF
    2614              : 
    2615         1146 :       CALL timestop(handle)
    2616              : 
    2617         4584 :    END SUBROUTINE response_force
    2618              : 
    2619              : ! **************************************************************************************************
    2620              : !> \brief ...
    2621              : !> \param qs_env ...
    2622              : !> \param p_env ...
    2623              : !> \param matrix_hz ...
    2624              : !> \param ex_env ...
    2625              : !> \param debug ...
    2626              : ! **************************************************************************************************
    2627           16 :    SUBROUTINE response_force_xtb(qs_env, p_env, matrix_hz, ex_env, debug)
    2628              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2629              :       TYPE(qs_p_env_type)                                :: p_env
    2630              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_hz
    2631              :       TYPE(excited_energy_type), OPTIONAL, POINTER       :: ex_env
    2632              :       LOGICAL, INTENT(IN), OPTIONAL                      :: debug
    2633              : 
    2634              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_force_xtb'
    2635              : 
    2636              :       INTEGER                                            :: atom_a, handle, iatom, ikind, iounit, &
    2637              :                                                             is, ispin, na, natom, natorb, nimages, &
    2638              :                                                             nkind, nocc, ns, nsgf, nspins
    2639              :       INTEGER, DIMENSION(25)                             :: lao
    2640              :       INTEGER, DIMENSION(5)                              :: occ
    2641              :       LOGICAL                                            :: debug_forces, do_ex, use_virial
    2642              :       REAL(KIND=dp)                                      :: focc
    2643           16 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: mcharge, mcharge1
    2644           16 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: aocg, aocg1, charges, charges1, ftot1, &
    2645           16 :                                                             ftot2
    2646              :       REAL(KIND=dp), DIMENSION(3)                        :: fodeb
    2647           16 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
    2648              :       TYPE(cp_logger_type), POINTER                      :: logger
    2649           16 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_pz, matrix_wz, mpa, p_matrix, scrm
    2650           16 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_p, matrix_s
    2651              :       TYPE(dbcsr_type), POINTER                          :: s_matrix
    2652              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2653           16 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
    2654              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2655              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    2656           16 :          POINTER                                         :: sab_orb
    2657           16 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    2658           16 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
    2659           16 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    2660              :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    2661              :       TYPE(qs_rho_type), POINTER                         :: rho
    2662              :       TYPE(xtb_atom_type), POINTER                       :: xtb_kind
    2663              : 
    2664           16 :       CALL timeset(routineN, handle)
    2665              : 
    2666           16 :       IF (PRESENT(debug)) THEN
    2667           16 :          debug_forces = debug
    2668              :       ELSE
    2669            0 :          debug_forces = .FALSE.
    2670              :       END IF
    2671              : 
    2672           16 :       logger => cp_get_default_logger()
    2673           16 :       IF (logger%para_env%is_source()) THEN
    2674            8 :          iounit = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
    2675              :       ELSE
    2676              :          iounit = -1
    2677              :       END IF
    2678              : 
    2679           16 :       do_ex = .FALSE.
    2680           16 :       IF (PRESENT(ex_env)) do_ex = .TRUE.
    2681              : 
    2682           16 :       NULLIFY (ks_env, sab_orb)
    2683              :       CALL get_qs_env(qs_env=qs_env, ks_env=ks_env, dft_control=dft_control, &
    2684           16 :                       sab_orb=sab_orb)
    2685           16 :       CALL get_qs_env(qs_env=qs_env, para_env=para_env, force=force)
    2686           16 :       nspins = dft_control%nspins
    2687              : 
    2688           16 :       IF (debug_forces) THEN
    2689            0 :          CALL get_qs_env(qs_env, natom=natom, atomic_kind_set=atomic_kind_set)
    2690            0 :          ALLOCATE (ftot1(3, natom))
    2691            0 :          ALLOCATE (ftot2(3, natom))
    2692            0 :          CALL total_qs_force(ftot1, force, atomic_kind_set)
    2693              :       END IF
    2694              : 
    2695           16 :       matrix_pz => p_env%p1
    2696           16 :       NULLIFY (mpa)
    2697           16 :       IF (do_ex) THEN
    2698           16 :          CALL dbcsr_allocate_matrix_set(mpa, nspins)
    2699           32 :          DO ispin = 1, nspins
    2700           16 :             ALLOCATE (mpa(ispin)%matrix)
    2701           16 :             CALL dbcsr_create(mpa(ispin)%matrix, template=matrix_pz(ispin)%matrix)
    2702           16 :             CALL dbcsr_copy(mpa(ispin)%matrix, matrix_pz(ispin)%matrix)
    2703           16 :             CALL dbcsr_add(mpa(ispin)%matrix, ex_env%matrix_pe(ispin)%matrix, 1.0_dp, 1.0_dp)
    2704           32 :             CALL dbcsr_set(matrix_hz(ispin)%matrix, 0.0_dp)
    2705              :          END DO
    2706              :       ELSE
    2707            0 :          mpa => p_env%p1
    2708              :       END IF
    2709              :       !
    2710              :       ! START OF Tr(P+Z)Hcore
    2711              :       !
    2712           16 :       IF (nspins == 2) THEN
    2713            0 :          CALL dbcsr_add(mpa(1)%matrix, mpa(2)%matrix, 1.0_dp, 1.0_dp)
    2714              :       END IF
    2715              :       ! Hcore  matrix
    2716           16 :       IF (debug_forces) fodeb(1:3) = force(1)%all_potential(1:3, 1)
    2717           16 :       CALL build_xtb_hab_force(qs_env, mpa(1)%matrix)
    2718           16 :       IF (debug_forces) THEN
    2719            0 :          fodeb(1:3) = force(1)%all_potential(1:3, 1) - fodeb(1:3)
    2720            0 :          CALL para_env%sum(fodeb)
    2721            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dHcore  ", fodeb
    2722              :       END IF
    2723           16 :       IF (nspins == 2) THEN
    2724            0 :          CALL dbcsr_add(mpa(1)%matrix, mpa(2)%matrix, 1.0_dp, -1.0_dp)
    2725              :       END IF
    2726              :       !
    2727              :       ! END OF Tr(P+Z)Hcore
    2728              :       !
    2729           16 :       use_virial = .FALSE.
    2730           16 :       nimages = 1
    2731              :       !
    2732              :       ! Hartree potential of response density
    2733              :       !
    2734           16 :       IF (dft_control%qs_control%xtb_control%coulomb_interaction) THEN
    2735              :          ! Mulliken charges
    2736           14 :          CALL get_qs_env(qs_env, rho=rho, particle_set=particle_set, matrix_s_kp=matrix_s)
    2737           14 :          natom = SIZE(particle_set)
    2738           14 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    2739           70 :          ALLOCATE (mcharge(natom), charges(natom, 5))
    2740           42 :          ALLOCATE (mcharge1(natom), charges1(natom, 5))
    2741         1254 :          charges = 0.0_dp
    2742         1254 :          charges1 = 0.0_dp
    2743           14 :          CALL get_qs_env(qs_env, atomic_kind_set=atomic_kind_set, qs_kind_set=qs_kind_set)
    2744           14 :          nkind = SIZE(atomic_kind_set)
    2745           14 :          CALL get_qs_kind_set(qs_kind_set, maxsgf=nsgf)
    2746           56 :          ALLOCATE (aocg(nsgf, natom))
    2747         1184 :          aocg = 0.0_dp
    2748           42 :          ALLOCATE (aocg1(nsgf, natom))
    2749         1184 :          aocg1 = 0.0_dp
    2750           14 :          p_matrix => matrix_p(:, 1)
    2751           14 :          s_matrix => matrix_s(1, 1)%matrix
    2752           14 :          CALL ao_charges(p_matrix, s_matrix, aocg, para_env)
    2753           14 :          CALL ao_charges(mpa, s_matrix, aocg1, para_env)
    2754           48 :          DO ikind = 1, nkind
    2755           34 :             CALL get_atomic_kind(atomic_kind_set(ikind), natom=na)
    2756           34 :             CALL get_qs_kind(qs_kind_set(ikind), xtb_parameter=xtb_kind)
    2757           34 :             CALL get_xtb_atom_param(xtb_kind, natorb=natorb, lao=lao, occupation=occ)
    2758          316 :             DO iatom = 1, na
    2759          234 :                atom_a = atomic_kind_set(ikind)%atom_list(iatom)
    2760         1404 :                charges(atom_a, :) = REAL(occ(:), KIND=dp)
    2761          900 :                DO is = 1, natorb
    2762          632 :                   ns = lao(is) + 1
    2763          632 :                   charges(atom_a, ns) = charges(atom_a, ns) - aocg(is, atom_a)
    2764          866 :                   charges1(atom_a, ns) = charges1(atom_a, ns) - aocg1(is, atom_a)
    2765              :                END DO
    2766              :             END DO
    2767              :          END DO
    2768           14 :          DEALLOCATE (aocg, aocg1)
    2769          248 :          DO iatom = 1, natom
    2770         1404 :             mcharge(iatom) = SUM(charges(iatom, :))
    2771         1418 :             mcharge1(iatom) = SUM(charges1(iatom, :))
    2772              :          END DO
    2773              :          ! Coulomb Kernel
    2774           14 :          CALL xtb_coulomb_hessian(qs_env, matrix_hz, charges1, mcharge1, mcharge)
    2775              :          CALL calc_xtb_ehess_force(qs_env, p_matrix, mpa, charges, mcharge, charges1, &
    2776           14 :                                    mcharge1, debug_forces)
    2777              :          !
    2778           28 :          DEALLOCATE (charges, mcharge, charges1, mcharge1)
    2779              :       END IF
    2780              :       ! Overlap matrix
    2781              :       ! H(drho+dz) + Wz
    2782           16 :       matrix_wz => p_env%w1
    2783           16 :       focc = 0.5_dp
    2784           16 :       IF (nspins == 1) focc = 1.0_dp
    2785           16 :       CALL get_qs_env(qs_env, mos=mos)
    2786           32 :       DO ispin = 1, nspins
    2787           16 :          CALL get_mo_set(mo_set=mos(ispin), homo=nocc)
    2788              :          CALL calculate_whz_matrix(mos(ispin)%mo_coeff, matrix_hz(ispin)%matrix, &
    2789           32 :                                    matrix_wz(ispin)%matrix, focc, nocc)
    2790              :       END DO
    2791           16 :       IF (nspins == 2) THEN
    2792              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2793            0 :                         alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
    2794              :       END IF
    2795           16 :       IF (debug_forces) fodeb(1:3) = force(1)%overlap(1:3, 1)
    2796           16 :       NULLIFY (scrm)
    2797              :       CALL build_overlap_matrix(ks_env, matrix_s=scrm, &
    2798              :                                 matrix_name="OVERLAP MATRIX", &
    2799              :                                 basis_type_a="ORB", basis_type_b="ORB", &
    2800              :                                 sab_nl=sab_orb, calculate_forces=.TRUE., &
    2801           16 :                                 matrix_p=matrix_wz(1)%matrix)
    2802           16 :       IF (debug_forces) THEN
    2803            0 :          fodeb(1:3) = force(1)%overlap(1:3, 1) - fodeb(1:3)
    2804            0 :          CALL para_env%sum(fodeb)
    2805            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Wz*dS ", fodeb
    2806              :       END IF
    2807           16 :       CALL dbcsr_deallocate_matrix_set(scrm)
    2808              : 
    2809           16 :       IF (debug_forces) THEN
    2810            0 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    2811            0 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    2812            0 :          CALL para_env%sum(fodeb)
    2813            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T30,3F16.8)") "DEBUG:: Response Force", fodeb
    2814            0 :          DEALLOCATE (ftot1, ftot2)
    2815              :       END IF
    2816              : 
    2817           16 :       IF (do_ex) THEN
    2818           16 :          CALL dbcsr_deallocate_matrix_set(mpa)
    2819              :       END IF
    2820              : 
    2821           16 :       CALL timestop(handle)
    2822              : 
    2823           32 :    END SUBROUTINE response_force_xtb
    2824              : 
    2825              : ! **************************************************************************************************
    2826              : !> \brief Win = focc*(P*(H[P_out - P_in] + H[Z] )*P)
    2827              : !>        Langrange multiplier matrix with response and perturbation (Harris) kernel matrices
    2828              : !>
    2829              : !> \param qs_env ...
    2830              : !> \param matrix_hz ...
    2831              : !> \param matrix_whz ...
    2832              : !> \param eps_filter ...
    2833              : !> \param
    2834              : !> \par History
    2835              : !>       2020.2 created [Fabian Belleflamme]
    2836              : !> \author Fabian Belleflamme
    2837              : ! **************************************************************************************************
    2838           10 :    SUBROUTINE calculate_whz_ao_matrix(qs_env, matrix_hz, matrix_whz, eps_filter)
    2839              : 
    2840              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2841              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(IN), &
    2842              :          POINTER                                         :: matrix_hz
    2843              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(INOUT), &
    2844              :          POINTER                                         :: matrix_whz
    2845              :       REAL(KIND=dp), INTENT(IN)                          :: eps_filter
    2846              : 
    2847              :       CHARACTER(len=*), PARAMETER :: routineN = 'calculate_whz_ao_matrix'
    2848              : 
    2849              :       INTEGER                                            :: handle, ispin, nspins
    2850              :       REAL(KIND=dp)                                      :: scaling
    2851           10 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: rho_ao
    2852              :       TYPE(dbcsr_type)                                   :: matrix_tmp
    2853              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2854              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2855              :       TYPE(qs_rho_type), POINTER                         :: rho
    2856              : 
    2857           10 :       CALL timeset(routineN, handle)
    2858              : 
    2859           10 :       CPASSERT(ASSOCIATED(qs_env))
    2860           10 :       CPASSERT(ASSOCIATED(matrix_hz))
    2861           10 :       CPASSERT(ASSOCIATED(matrix_whz))
    2862              : 
    2863              :       CALL get_qs_env(qs_env=qs_env, &
    2864              :                       dft_control=dft_control, &
    2865              :                       rho=rho, &
    2866           10 :                       para_env=para_env)
    2867           10 :       nspins = dft_control%nspins
    2868           10 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
    2869              : 
    2870              :       ! init temp matrix
    2871              :       CALL dbcsr_create(matrix_tmp, template=matrix_hz(1)%matrix, &
    2872           10 :                         matrix_type=dbcsr_type_no_symmetry)
    2873              : 
    2874              :       !Spin factors simplify to
    2875           10 :       scaling = 1.0_dp
    2876           10 :       IF (nspins == 1) scaling = 0.5_dp
    2877              : 
    2878              :       ! Operation in MO-solver :
    2879              :       ! Whz = focc*(CC^T*Hz*CC^T)
    2880              :       ! focc = 2.0_dp Closed-shell
    2881              :       ! focc = 1.0_dp Open-shell
    2882              : 
    2883              :       ! Operation in AO-solver :
    2884              :       ! Whz = (scaling*P)*(focc*Hz)*(scaling*P)
    2885              :       ! focc see above
    2886              :       ! scaling = 0.5_dp Closed-shell (P = 2*CC^T), WHz = (0.5*P)*(2*Hz)*(0.5*P)
    2887              :       ! scaling = 1.0_dp Open-shell, WHz = P*Hz*P
    2888              : 
    2889              :       ! Spin factors from Hz and P simplify to
    2890              :       scaling = 1.0_dp
    2891           10 :       IF (nspins == 1) scaling = 0.5_dp
    2892              : 
    2893           20 :       DO ispin = 1, nspins
    2894              : 
    2895              :          ! tmp = H*CC^T
    2896              :          CALL dbcsr_multiply("N", "N", scaling, matrix_hz(ispin)%matrix, rho_ao(ispin)%matrix, &
    2897           10 :                              0.0_dp, matrix_tmp, filter_eps=eps_filter)
    2898              :          ! WHz = CC^T*tmp
    2899              :          ! WHz = Wz + (scaling*P)*(focc*Hz)*(scaling*P)
    2900              :          ! WHz = Wz + scaling*(P*Hz*P)
    2901              :          CALL dbcsr_multiply("N", "N", 1.0_dp, rho_ao(ispin)%matrix, matrix_tmp, &
    2902              :                              1.0_dp, matrix_whz(ispin)%matrix, filter_eps=eps_filter, &
    2903           20 :                              retain_sparsity=.TRUE.)
    2904              : 
    2905              :       END DO
    2906              : 
    2907           10 :       CALL dbcsr_release(matrix_tmp)
    2908              : 
    2909           10 :       CALL timestop(handle)
    2910              : 
    2911           10 :    END SUBROUTINE calculate_whz_ao_matrix
    2912              : 
    2913              : ! **************************************************************************************************
    2914              : 
    2915              : END MODULE response_solver
        

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