LCOV - code coverage report
Current view: top level - src - response_solver.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:24d69ee) Lines: 87.3 % 1431 1249
Test Date: 2026-09-03 07:32:15 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: ec_mos_init
      50              :    USE ec_orth_solver,                  ONLY: ec_response_ao
      51              :    USE exstates_types,                  ONLY: excited_energy_type
      52              :    USE hartree_local_methods,           ONLY: Vh_1c_gg_integrals,&
      53              :                                               init_coulomb_local
      54              :    USE hartree_local_types,             ONLY: hartree_local_create,&
      55              :                                               hartree_local_release,&
      56              :                                               hartree_local_type
      57              :    USE hfx_derivatives,                 ONLY: derivatives_four_center
      58              :    USE hfx_energy_potential,            ONLY: integrate_four_center
      59              :    USE hfx_ri,                          ONLY: hfx_ri_update_forces,&
      60              :                                               hfx_ri_update_ks
      61              :    USE hfx_types,                       ONLY: hfx_type
      62              :    USE input_constants,                 ONLY: &
      63              :         do_admm_aux_exch_func_none, ec_functional_ext, ec_ls_solver, ec_mo_solver, &
      64              :         kg_tnadd_atomic, kg_tnadd_embed, kg_tnadd_embed_ri, ls_s_sqrt_ns, ls_s_sqrt_proot, &
      65              :         ot_precond_full_all, ot_precond_full_kinetic, ot_precond_full_single, &
      66              :         ot_precond_full_single_inverse, ot_precond_none, ot_precond_s_inverse, precond_mlp, xc_none
      67              :    USE input_section_types,             ONLY: section_vals_get,&
      68              :                                               section_vals_get_subs_vals,&
      69              :                                               section_vals_type,&
      70              :                                               section_vals_val_get
      71              :    USE kg_correction,                   ONLY: kg_ekin_subset
      72              :    USE kg_environment_types,            ONLY: kg_environment_type
      73              :    USE kg_tnadd_mat,                    ONLY: build_tnadd_mat
      74              :    USE kinds,                           ONLY: default_string_length,&
      75              :                                               dp
      76              :    USE machine,                         ONLY: m_flush
      77              :    USE mathlib,                         ONLY: det_3x3
      78              :    USE message_passing,                 ONLY: mp_para_env_type
      79              :    USE mulliken,                        ONLY: ao_charges
      80              :    USE parallel_gemm_api,               ONLY: parallel_gemm
      81              :    USE particle_types,                  ONLY: particle_type
      82              :    USE physcon,                         ONLY: pascal
      83              :    USE pw_env_types,                    ONLY: pw_env_get,&
      84              :                                               pw_env_type
      85              :    USE pw_methods,                      ONLY: pw_axpy,&
      86              :                                               pw_copy,&
      87              :                                               pw_integral_ab,&
      88              :                                               pw_scale,&
      89              :                                               pw_transfer,&
      90              :                                               pw_zero
      91              :    USE pw_poisson_methods,              ONLY: pw_poisson_solve
      92              :    USE pw_poisson_types,                ONLY: pw_poisson_type
      93              :    USE pw_pool_types,                   ONLY: pw_pool_type
      94              :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      95              :                                               pw_r3d_rs_type
      96              :    USE qs_2nd_kernel_ao,                ONLY: build_dm_response
      97              :    USE qs_collocate_density,            ONLY: calculate_rho_elec
      98              :    USE qs_core_matrices,                ONLY: core_matrices,&
      99              :                                               kinetic_energy_matrix
     100              :    USE qs_density_matrices,             ONLY: calculate_whz_matrix,&
     101              :                                               calculate_wz_matrix
     102              :    USE qs_energy_types,                 ONLY: qs_energy_type
     103              :    USE qs_environment_types,            ONLY: get_qs_env,&
     104              :                                               qs_environment_type,&
     105              :                                               set_qs_env
     106              :    USE qs_force_types,                  ONLY: qs_force_type,&
     107              :                                               total_qs_force
     108              :    USE qs_fxc,                          ONLY: qs_fxc_create
     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_atom_types,               ONLY: rho_atom_type
     141              :    USE qs_rho_types,                    ONLY: qs_rho_create,&
     142              :                                               qs_rho_get,&
     143              :                                               qs_rho_set,&
     144              :                                               qs_rho_type
     145              :    USE qs_vxc_atom,                     ONLY: calculate_vxc_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         2560 :       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          668 :    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          668 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: psi0, psi1
     702              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     703          668 :       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          668 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     707              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     708          668 :          POINTER                                         :: sab_orb
     709              : 
     710          668 :       CALL timeset(routineN, handle)
     711              : 
     712              :       ! initialized linres_control
     713              :       NULLIFY (linres_control)
     714          668 :       ALLOCATE (linres_control)
     715          668 :       linres_control%do_kernel = .TRUE.
     716              :       linres_control%lr_triplet = .FALSE.
     717          668 :       IF (PRESENT(lr_section)) THEN
     718          668 :          CALL section_vals_val_get(lr_section, "RESTART", l_val=linres_control%linres_restart)
     719          668 :          CALL section_vals_val_get(lr_section, "MAX_ITER", i_val=linres_control%max_iter)
     720          668 :          CALL section_vals_val_get(lr_section, "EPS", r_val=linres_control%eps)
     721          668 :          CALL section_vals_val_get(lr_section, "EPS_FILTER", r_val=linres_control%eps_filter)
     722          668 :          CALL section_vals_val_get(lr_section, "RESTART_EVERY", i_val=linres_control%restart_every)
     723          668 :          CALL section_vals_val_get(lr_section, "PRECONDITIONER", i_val=linres_control%preconditioner_type)
     724          668 :          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          668 :                         linres_control=linres_control)
     738          668 :       CALL set_qs_env(qs_env, linres_control=linres_control)
     739          668 :       CALL p_env_psi0_changed(p_env, qs_env)
     740          668 :       p_env%new_preconditioner = .TRUE.
     741              : 
     742          668 :       CALL get_qs_env(qs_env, dft_control=dft_control, mos=mos)
     743              :       !
     744          668 :       nspins = dft_control%nspins
     745              : 
     746              :       ! Initialize vectors:
     747              :       ! psi0 : The ground-state MO-coefficients
     748              :       ! psi1 : The "perturbed" linear response orbitals
     749         4244 :       ALLOCATE (psi0(nspins), psi1(nspins))
     750         1454 :       DO ispin = 1, nspins
     751          786 :          CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, homo=nocc)
     752          786 :          NULLIFY (fm_struct)
     753              :          CALL cp_fm_struct_create(fm_struct, ncol_global=nocc, &
     754          786 :                                   template_fmstruct=mo_coeff%matrix_struct)
     755          786 :          CALL cp_fm_create(psi0(ispin), fm_struct)
     756          786 :          CALL cp_fm_to_fm(mo_coeff, psi0(ispin), nocc)
     757          786 :          CALL cp_fm_create(psi1(ispin), fm_struct)
     758          786 :          CALL cp_fm_set_all(psi1(ispin), 0.0_dp)
     759         2240 :          CALL cp_fm_struct_release(fm_struct)
     760              :       END DO
     761              : 
     762          668 :       should_stop = .FALSE.
     763              :       ! The response solver
     764          668 :       CALL get_qs_env(qs_env, matrix_s=matrix_s, sab_orb=sab_orb)
     765          668 :       CALL dbcsr_allocate_matrix_set(p_env%p1, nspins)
     766          668 :       CALL dbcsr_allocate_matrix_set(p_env%w1, nspins)
     767         1454 :       DO ispin = 1, nspins
     768          786 :          ALLOCATE (p_env%p1(ispin)%matrix, p_env%w1(ispin)%matrix)
     769          786 :          CALL dbcsr_create(matrix=p_env%p1(ispin)%matrix, template=matrix_s(1)%matrix)
     770          786 :          CALL dbcsr_create(matrix=p_env%w1(ispin)%matrix, template=matrix_s(1)%matrix)
     771          786 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%p1(ispin)%matrix, sab_orb)
     772         1454 :          CALL cp_dbcsr_alloc_block_from_nbl(p_env%w1(ispin)%matrix, sab_orb)
     773              :       END DO
     774          668 :       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          668 :                          should_stop, silent=silent)
     788              : 
     789              :       ! Building the response density matrix
     790         1454 :       DO ispin = 1, nspins
     791         1454 :          CALL dbcsr_copy(p_env%p1(ispin)%matrix, matrix_s(1)%matrix)
     792              :       END DO
     793          668 :       CALL build_dm_response(psi0, psi1, p_env%p1)
     794         1454 :       DO ispin = 1, nspins
     795         1454 :          CALL dbcsr_scale(p_env%p1(ispin)%matrix, 0.5_dp)
     796              :       END DO
     797          668 :       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          668 :       CALL get_qs_env(qs_env, matrix_ks=matrix_ks)
     819         1454 :       DO ispin = 1, nspins
     820              :          CALL calculate_wz_matrix(mos(ispin), psi1(ispin), matrix_ks(ispin)%matrix, &
     821         1454 :                                   p_env%w1(ispin)%matrix)
     822              :       END DO
     823          668 :       CALL cp_fm_release(psi0)
     824          668 :       CALL cp_fm_release(psi1)
     825              : 
     826          668 :       CALL timestop(handle)
     827              : 
     828         2004 :    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, do_onecenter, &
     873              :          gapw, gapw_xc, hfx_treat_lsd_in_core, needs_tau_response, needs_tau_response_aux, &
     874              :          resp_only, 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          :: kind_set, 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         1146 :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho0_atom_set, rho1_atom_set
     923              :       TYPE(section_vals_type), POINTER                   :: hfx_section, xc_fun_section, xc_section
     924              :       TYPE(task_list_type), POINTER                      :: task_list, task_list_aux_fit
     925              :       TYPE(virial_type), POINTER                         :: virial
     926              :       TYPE(xc_rho_cflags_type)                           :: needs
     927              : 
     928         1146 :       CALL timeset(routineN, handle)
     929              : 
     930         1146 :       IF (PRESENT(debug)) THEN
     931         1146 :          debug_forces = debug
     932         1146 :          debug_stress = debug
     933              :       ELSE
     934            0 :          debug_forces = .FALSE.
     935            0 :          debug_stress = .FALSE.
     936              :       END IF
     937              : 
     938         1146 :       logger => cp_get_default_logger()
     939         1146 :       IF (logger%para_env%is_source()) THEN
     940          573 :          iounit = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
     941              :       ELSE
     942              :          iounit = -1
     943              :       END IF
     944              : 
     945         1146 :       do_ex = .FALSE.
     946         1146 :       IF (PRESENT(ex_env)) do_ex = .TRUE.
     947              :       IF (do_ex) THEN
     948          642 :          CPASSERT(PRESENT(p_env))
     949              :       END IF
     950              : 
     951         1146 :       NULLIFY (ks_env, sab_orb, virial)
     952              :       CALL get_qs_env(qs_env=qs_env, &
     953              :                       cell=cell, &
     954              :                       force=force, &
     955              :                       ks_env=ks_env, &
     956              :                       dft_control=dft_control, &
     957              :                       para_env=para_env, &
     958              :                       sab_orb=sab_orb, &
     959         1146 :                       virial=virial)
     960         1146 :       nspins = dft_control%nspins
     961         1146 :       gapw = dft_control%qs_control%gapw
     962         1146 :       gapw_xc = dft_control%qs_control%gapw_xc
     963              : 
     964         1146 :       IF (debug_forces) THEN
     965          166 :          CALL get_qs_env(qs_env, natom=natom, atomic_kind_set=atomic_kind_set)
     966          498 :          ALLOCATE (ftot1(3, natom))
     967          166 :          CALL total_qs_force(ftot1, force, atomic_kind_set)
     968              :       END IF
     969              : 
     970              :       ! check for virial
     971         1146 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     972              : 
     973         1146 :       IF (use_virial .AND. do_ex) THEN
     974            0 :          CALL cp_abort(__LOCATION__, "Stress Tensor not available for TDDFT calculations.")
     975              :       END IF
     976              : 
     977         1146 :       fconv = 1.0E-9_dp*pascal/cell%deth
     978         1146 :       IF (debug_stress .AND. use_virial) THEN
     979            0 :          sttot = virial%pv_virial
     980              :       END IF
     981              : 
     982              :       !     *** If LSD, then combine alpha density and beta density to
     983              :       !     *** total density: alpha <- alpha + beta   and
     984         1146 :       NULLIFY (mpa)
     985         1146 :       NULLIFY (matrix_ht)
     986         1146 :       IF (do_ex) THEN
     987          642 :          CALL dbcsr_allocate_matrix_set(mpa, nspins)
     988         1392 :          DO ispin = 1, nspins
     989          750 :             ALLOCATE (mpa(ispin)%matrix)
     990          750 :             CALL dbcsr_create(mpa(ispin)%matrix, template=p_env%p1(ispin)%matrix)
     991          750 :             CALL dbcsr_copy(mpa(ispin)%matrix, p_env%p1(ispin)%matrix)
     992          750 :             CALL dbcsr_add(mpa(ispin)%matrix, ex_env%matrix_pe(ispin)%matrix, 1.0_dp, 1.0_dp)
     993         1392 :             CALL dbcsr_set(matrix_hz(ispin)%matrix, 0.0_dp)
     994              :          END DO
     995              :       ELSE
     996          504 :          mpa => matrix_pz
     997              :       END IF
     998              :       !
     999         1146 :       IF (do_ex .OR. (gapw .OR. gapw_xc)) THEN
    1000          702 :          CALL dbcsr_allocate_matrix_set(matrix_ht, nspins)
    1001         1514 :          DO ispin = 1, nspins
    1002          812 :             ALLOCATE (matrix_ht(ispin)%matrix)
    1003          812 :             CALL dbcsr_create(matrix_ht(ispin)%matrix, template=matrix_hz(ispin)%matrix)
    1004          812 :             CALL dbcsr_copy(matrix_ht(ispin)%matrix, matrix_hz(ispin)%matrix)
    1005         1958 :             CALL dbcsr_set(matrix_ht(ispin)%matrix, 0.0_dp)
    1006              :          END DO
    1007              :       END IF
    1008              :       !
    1009              :       ! START OF Tr[(P+Z)Hcore]
    1010              :       !
    1011              : 
    1012              :       ! Kinetic energy matrix
    1013         1146 :       NULLIFY (scrm2)
    1014         1146 :       mpa2(1:nspins, 1:1) => mpa(1:nspins)
    1015              :       CALL kinetic_energy_matrix(qs_env, matrixkp_t=scrm2, matrix_p=mpa2, &
    1016              :                                  matrix_name="KINETIC ENERGY MATRIX", &
    1017              :                                  basis_type="ORB", &
    1018              :                                  sab_orb=sab_orb, calculate_forces=.TRUE., &
    1019         1146 :                                  debug_forces=debug_forces, debug_stress=debug_stress)
    1020         1146 :       CALL dbcsr_deallocate_matrix_set(scrm2)
    1021              : 
    1022              :       ! Initialize a matrix scrm, later used for scratch purposes
    1023         1146 :       CALL get_qs_env(qs_env=qs_env, matrix_s=matrix_s)
    1024         1146 :       NULLIFY (scrm)
    1025         1146 :       CALL dbcsr_allocate_matrix_set(scrm, nspins)
    1026         2402 :       DO ispin = 1, nspins
    1027         1256 :          ALLOCATE (scrm(ispin)%matrix)
    1028         1256 :          CALL dbcsr_create(scrm(ispin)%matrix, template=matrix_s(1)%matrix)
    1029         1256 :          CALL dbcsr_copy(scrm(ispin)%matrix, matrix_s(1)%matrix)
    1030         2402 :          CALL dbcsr_set(scrm(ispin)%matrix, 0.0_dp)
    1031              :       END DO
    1032              : 
    1033              :       CALL get_qs_env(qs_env, qs_kind_set=qs_kind_set, particle_set=particle_set, &
    1034         1146 :                       atomic_kind_set=atomic_kind_set)
    1035              : 
    1036         9388 :       ALLOCATE (matrix_p(nspins, 1), matrix_h(nspins, 1))
    1037         2402 :       DO ispin = 1, nspins
    1038         1256 :          matrix_p(ispin, 1)%matrix => mpa(ispin)%matrix
    1039         2402 :          matrix_h(ispin, 1)%matrix => scrm(ispin)%matrix
    1040              :       END DO
    1041         1146 :       matrix_h(1, 1)%matrix => scrm(1)%matrix
    1042              : 
    1043         1146 :       nder = 1
    1044              :       CALL core_matrices(qs_env, matrix_h, matrix_p, .TRUE., nder, &
    1045         1146 :                          debug_forces=debug_forces, debug_stress=debug_stress)
    1046              : 
    1047              :       ! Kim-Gordon subsystem DFT
    1048              :       ! Atomic potential for nonadditive kinetic energy contribution
    1049         1146 :       IF (dft_control%qs_control%do_kg) THEN
    1050           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_atomic) THEN
    1051           12 :             CALL get_qs_env(qs_env=qs_env, kg_env=kg_env, dbcsr_dist=dbcsr_dist)
    1052              : 
    1053           12 :             IF (use_virial) THEN
    1054          130 :                pv_loc = virial%pv_virial
    1055              :             END IF
    1056              : 
    1057           12 :             IF (debug_forces) fodeb(1:3) = force(1)%kinetic(1:3, 1)
    1058           12 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1059              :             CALL build_tnadd_mat(kg_env=kg_env, matrix_p=matrix_p, force=force, virial=virial, &
    1060              :                                  calculate_forces=.TRUE., use_virial=use_virial, &
    1061              :                                  qs_kind_set=qs_kind_set, atomic_kind_set=atomic_kind_set, &
    1062           12 :                                  particle_set=particle_set, sab_orb=sab_orb, dbcsr_dist=dbcsr_dist)
    1063           12 :             IF (debug_forces) THEN
    1064            0 :                fodeb(1:3) = force(1)%kinetic(1:3, 1) - fodeb(1:3)
    1065            0 :                CALL para_env%sum(fodeb)
    1066            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dTnadd  ", fodeb
    1067              :             END IF
    1068           12 :             IF (debug_stress .AND. use_virial) THEN
    1069            0 :                stdeb = fconv*(virial%pv_virial - stdeb)
    1070            0 :                CALL para_env%sum(stdeb)
    1071            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1072            0 :                   'STRESS| Pz*dTnadd   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1073              :             END IF
    1074              : 
    1075              :             ! Stress-tensor update components
    1076           12 :             IF (use_virial) THEN
    1077          130 :                virial%pv_ekinetic = virial%pv_ekinetic + (virial%pv_virial - pv_loc)
    1078              :             END IF
    1079              : 
    1080              :          END IF
    1081              :       END IF
    1082              : 
    1083         1146 :       DEALLOCATE (matrix_h)
    1084         1146 :       DEALLOCATE (matrix_p)
    1085         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1086              : 
    1087              :       ! initialize src matrix
    1088              :       ! Necessary as build_kinetic_matrix will only allocate scrm(1)
    1089              :       ! and not scrm(2) in open-shell case
    1090         1146 :       NULLIFY (scrm)
    1091         1146 :       CALL dbcsr_allocate_matrix_set(scrm, nspins)
    1092         2402 :       DO ispin = 1, nspins
    1093         1256 :          ALLOCATE (scrm(ispin)%matrix)
    1094         1256 :          CALL dbcsr_create(scrm(ispin)%matrix, template=matrix_pz(1)%matrix)
    1095         1256 :          CALL dbcsr_copy(scrm(ispin)%matrix, matrix_pz(ispin)%matrix)
    1096         2402 :          CALL dbcsr_set(scrm(ispin)%matrix, 0.0_dp)
    1097              :       END DO
    1098              : 
    1099         1146 :       IF (debug_forces) THEN
    1100          498 :          ALLOCATE (ftot2(3, natom))
    1101          166 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    1102          664 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    1103          166 :          CALL para_env%sum(fodeb)
    1104          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dHcore", fodeb
    1105              :       END IF
    1106         1146 :       IF (debug_stress .AND. use_virial) THEN
    1107            0 :          stdeb = fconv*(virial%pv_virial - sttot)
    1108            0 :          CALL para_env%sum(stdeb)
    1109            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1110            0 :             'STRESS| Stress Pz*dHcore   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1111              :          ! save current total viral, does not contain volume terms yet
    1112            0 :          sttot2 = virial%pv_virial
    1113              :       END IF
    1114              :       !
    1115              :       ! END OF Tr(P+Z)Hcore
    1116              :       !
    1117              :       !
    1118              :       ! Vhxc (KS potentials calculated externally)
    1119         1146 :       CALL get_qs_env(qs_env, pw_env=pw_env)
    1120         1146 :       CALL pw_env_get(pw_env, auxbas_pw_pool=auxbas_pw_pool, poisson_env=poisson_env)
    1121              :       !
    1122         1146 :       IF (dft_control%do_admm) THEN
    1123          256 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1124          256 :          xc_section => admm_env%xc_section_primary
    1125              :       ELSE
    1126          890 :          xc_section => section_vals_get_subs_vals(qs_env%input, "DFT%XC")
    1127              :       END IF
    1128         1146 :       xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
    1129         1146 :       CALL section_vals_val_get(xc_fun_section, "_SECTION_PARAMETERS_", i_val=myfun)
    1130         1146 :       needs = xc_functionals_get_needs(xc_fun_section, (nspins == 2), .TRUE.)
    1131         1146 :       needs_tau_response = needs%tau .OR. needs%tau_spin
    1132              :       !
    1133         1146 :       IF (gapw .OR. gapw_xc) THEN
    1134          216 :          NULLIFY (oce, sab_orb)
    1135          216 :          CALL get_qs_env(qs_env=qs_env, oce=oce, sab_orb=sab_orb)
    1136              :          ! set up local_rho_set for GS density
    1137          216 :          NULLIFY (local_rho_set_gs)
    1138          216 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1139          216 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    1140          216 :          CALL local_rho_set_create(local_rho_set_gs)
    1141              :          CALL allocate_rho_atom_internals(local_rho_set_gs%rho_atom_set, atomic_kind_set, &
    1142          216 :                                           qs_kind_set, dft_control, para_env)
    1143          216 :          CALL init_rho0(local_rho_set_gs, qs_env, dft_control%qs_control%gapw_control)
    1144          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_gs%rho0_mpole)
    1145              :          CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_gs%rho_atom_set, &
    1146          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1147          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_gs, do_rho0=gapw)
    1148              :          ! set up local_rho_set for response density
    1149          216 :          NULLIFY (local_rho_set_t)
    1150          216 :          CALL local_rho_set_create(local_rho_set_t)
    1151              :          CALL allocate_rho_atom_internals(local_rho_set_t%rho_atom_set, atomic_kind_set, &
    1152          216 :                                           qs_kind_set, dft_control, para_env)
    1153              :          CALL init_rho0(local_rho_set_t, qs_env, dft_control%qs_control%gapw_control, &
    1154          216 :                         zcore=0.0_dp)
    1155          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_t%rho0_mpole)
    1156              :          CALL calculate_rho_atom_coeff(qs_env, mpa(:), local_rho_set_t%rho_atom_set, &
    1157          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1158          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_t, do_rho0=gapw)
    1159              : 
    1160              :          ! compute soft GS potential
    1161         1516 :          ALLOCATE (rho_r_gs(nspins), rho_g_gs(nspins))
    1162          434 :          DO ispin = 1, nspins
    1163          218 :             CALL auxbas_pw_pool%create_pw(rho_r_gs(ispin))
    1164          434 :             CALL auxbas_pw_pool%create_pw(rho_g_gs(ispin))
    1165              :          END DO
    1166          216 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace_gs)
    1167              :          ! compute soft GS density
    1168          216 :          total_rho_gs = 0.0_dp
    1169          216 :          CALL pw_zero(rho_tot_gspace_gs)
    1170          434 :          DO ispin = 1, nspins
    1171              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=matrix_p(ispin, 1)%matrix, &
    1172              :                                     rho=rho_r_gs(ispin), &
    1173              :                                     rho_gspace=rho_g_gs(ispin), &
    1174              :                                     soft_valid=(gapw .OR. gapw_xc), &
    1175          218 :                                     total_rho=total_rho_gs(ispin))
    1176          434 :             CALL pw_axpy(rho_g_gs(ispin), rho_tot_gspace_gs)
    1177              :          END DO
    1178          216 :          IF (gapw) THEN
    1179          176 :             CALL get_qs_env(qs_env, natom=natom)
    1180              :             ! add rho0 contributions to GS density (only for Coulomb) only for gapw
    1181          176 :             CALL pw_axpy(local_rho_set_gs%rho0_mpole%rho0_s_gs, rho_tot_gspace_gs)
    1182          176 :             IF (ASSOCIATED(local_rho_set_gs%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1183            0 :                CALL pw_axpy(local_rho_set_gs%rho0_mpole%rhoz_cneo_s_gs, rho_tot_gspace_gs)
    1184              :             END IF
    1185          176 :             IF (dft_control%qs_control%gapw_control%nopaw_as_gpw) THEN
    1186            8 :                CALL get_qs_env(qs_env=qs_env, rho_core=rho_core)
    1187            8 :                CALL pw_axpy(rho_core, rho_tot_gspace_gs)
    1188              :             END IF
    1189              :             ! compute GS potential
    1190          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_gspace_gs)
    1191          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_rspace_gs)
    1192          176 :             NULLIFY (hartree_local_gs)
    1193          176 :             CALL hartree_local_create(hartree_local_gs)
    1194          176 :             CALL init_coulomb_local(hartree_local_gs, natom)
    1195          176 :             CALL pw_poisson_solve(poisson_env, rho_tot_gspace_gs, hartree_gs, v_hartree_gspace_gs)
    1196          176 :             CALL pw_transfer(v_hartree_gspace_gs, v_hartree_rspace_gs)
    1197          176 :             CALL pw_scale(v_hartree_rspace_gs, v_hartree_rspace_gs%pw_grid%dvol)
    1198              :          END IF
    1199              :       END IF
    1200              : 
    1201         1146 :       IF (gapw) THEN
    1202              :          ! Hartree grid PAW term
    1203          176 :          CPASSERT(.NOT. use_virial)
    1204          584 :          IF (debug_forces) fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1)
    1205              :          CALL Vh_1c_gg_integrals(qs_env, hartree_gs, hartree_local_gs%ecoul_1c, local_rho_set_t, para_env, tddft=.TRUE., &
    1206          176 :                                  local_rho_set_2nd=local_rho_set_gs, core_2nd=.FALSE.) ! n^core for GS potential
    1207              :          ! 1st to define integral space, 2nd for potential, integral contributions stored on local_rho_set_gs
    1208              :          CALL integrate_vhg0_rspace(qs_env, v_hartree_rspace_gs, para_env, calculate_forces=.TRUE., &
    1209          176 :                                     local_rho_set=local_rho_set_t, local_rho_set_2nd=local_rho_set_gs)
    1210          176 :          IF (debug_forces) THEN
    1211          544 :             fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1) - fodeb(1:3)
    1212          136 :             CALL para_env%sum(fodeb)
    1213          136 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVh[D^GS]PAWg0", fodeb
    1214              :          END IF
    1215              :       END IF
    1216         1146 :       IF (gapw .OR. gapw_xc) THEN
    1217          216 :          IF (myfun /= xc_none) THEN
    1218              :             ! add 1c hard and soft XC contributions
    1219          192 :             NULLIFY (local_rho_set_vxc)
    1220          192 :             CALL local_rho_set_create(local_rho_set_vxc)
    1221              :             CALL allocate_rho_atom_internals(local_rho_set_vxc%rho_atom_set, atomic_kind_set, &
    1222          192 :                                              qs_kind_set, dft_control, para_env)
    1223              :             CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_vxc%rho_atom_set, &
    1224          192 :                                           qs_kind_set, oce, sab_orb, para_env)
    1225          192 :             CALL prepare_gapw_den(qs_env, local_rho_set_vxc, do_rho0=.FALSE.)
    1226              :             ! compute hard and soft atomic contributions
    1227              :             CALL calculate_vxc_atom(qs_env, .FALSE., exc1=hartree_gs, xc_section_external=xc_section, &
    1228          192 :                                     rho_atom_set_external=local_rho_set_vxc%rho_atom_set)
    1229              :          END IF ! myfun
    1230              :       END IF ! gapw
    1231              : 
    1232         1146 :       CALL auxbas_pw_pool%create_pw(vhxc_rspace)
    1233              :       !
    1234              :       ! Stress-tensor: integration contribution direct term
    1235              :       ! int v_Hxc[n^in]*n^z
    1236         1146 :       IF (use_virial) THEN
    1237         2236 :          pv_loc = virial%pv_virial
    1238              :       END IF
    1239              : 
    1240         1644 :       IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1241         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1242         1146 :       IF (gapw .OR. gapw_xc) THEN
    1243              :          ! vtot = v_xc + v_hartree
    1244          434 :          DO ispin = 1, nspins
    1245          218 :             CALL pw_zero(vhxc_rspace)
    1246          218 :             IF (gapw) THEN
    1247          178 :                CALL pw_transfer(v_hartree_rspace_gs, vhxc_rspace)
    1248           40 :             ELSE IF (gapw_xc) THEN
    1249           40 :                CALL pw_transfer(vh_rspace, vhxc_rspace)
    1250              :             END IF
    1251              :             CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1252              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1253              :                                     qs_env=qs_env, gapw=gapw, &
    1254          434 :                                     calculate_forces=.TRUE.)
    1255              :          END DO
    1256          216 :          IF (myfun /= xc_none) THEN
    1257          386 :             DO ispin = 1, nspins
    1258          194 :                CALL pw_zero(vhxc_rspace)
    1259          194 :                CALL pw_axpy(vxc_rspace(ispin), vhxc_rspace)
    1260              :                CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1261              :                                        hmat=scrm(ispin), pmat=mpa(ispin), &
    1262              :                                        qs_env=qs_env, gapw=(gapw .OR. gapw_xc), &
    1263          386 :                                        calculate_forces=.TRUE.)
    1264              :             END DO
    1265              :          END IF
    1266              :       ELSE ! original GPW with Standard Hartree as Potential
    1267         1968 :          DO ispin = 1, nspins
    1268         1038 :             CALL pw_transfer(vh_rspace, vhxc_rspace)
    1269         1038 :             CALL pw_axpy(vxc_rspace(ispin), vhxc_rspace)
    1270              :             CALL integrate_v_rspace(v_rspace=vhxc_rspace, &
    1271              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1272         1968 :                                     qs_env=qs_env, gapw=gapw, calculate_forces=.TRUE.)
    1273              :          END DO
    1274              :       END IF
    1275              : 
    1276         1146 :       IF (debug_forces) THEN
    1277          664 :          fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1278          166 :          CALL para_env%sum(fodeb)
    1279          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVhxc[D^GS]   ", fodeb
    1280              :       END IF
    1281         1146 :       IF (debug_stress .AND. use_virial) THEN
    1282            0 :          stdeb = fconv*(virial%pv_virial - pv_loc)
    1283            0 :          CALL para_env%sum(stdeb)
    1284            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1285            0 :             'STRESS| INT Pz*dVhxc   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1286              :       END IF
    1287              : 
    1288         1146 :       IF (gapw .OR. gapw_xc) THEN
    1289              :          ! HXC term
    1290          702 :          IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1291          216 :          IF (gapw) CALL update_ks_atom(qs_env, scrm, mpa, forces=.TRUE., tddft=.FALSE., &
    1292          176 :                                        rho_atom_external=local_rho_set_gs%rho_atom_set)
    1293          216 :          IF (myfun /= xc_none) CALL update_ks_atom(qs_env, scrm, mpa, forces=.TRUE., tddft=.FALSE., &
    1294          192 :                                                    rho_atom_external=local_rho_set_vxc%rho_atom_set)
    1295          216 :          IF (debug_forces) THEN
    1296          648 :             fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1297          162 :             CALL para_env%sum(fodeb)
    1298          162 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: (T+Dz)*dVhxc[D^GS]PAW ", fodeb
    1299              :          END IF
    1300              :          ! release local environments for GAPW
    1301          216 :          IF (myfun /= xc_none) THEN
    1302          192 :             IF (ASSOCIATED(local_rho_set_vxc)) CALL local_rho_set_release(local_rho_set_vxc)
    1303              :          END IF
    1304          216 :          IF (ASSOCIATED(local_rho_set_gs)) CALL local_rho_set_release(local_rho_set_gs)
    1305          216 :          IF (gapw) THEN
    1306          176 :             IF (ASSOCIATED(hartree_local_gs)) CALL hartree_local_release(hartree_local_gs)
    1307          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_gspace_gs)
    1308          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_rspace_gs)
    1309              :          END IF
    1310          216 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace_gs)
    1311          216 :          IF (ASSOCIATED(rho_r_gs)) THEN
    1312          434 :             DO ispin = 1, nspins
    1313          434 :                CALL auxbas_pw_pool%give_back_pw(rho_r_gs(ispin))
    1314              :             END DO
    1315          216 :             DEALLOCATE (rho_r_gs)
    1316              :          END IF
    1317          216 :          IF (ASSOCIATED(rho_g_gs)) THEN
    1318          434 :             DO ispin = 1, nspins
    1319          434 :                CALL auxbas_pw_pool%give_back_pw(rho_g_gs(ispin))
    1320              :             END DO
    1321          216 :             DEALLOCATE (rho_g_gs)
    1322              :          END IF
    1323              :       END IF !gapw
    1324              : 
    1325         1146 :       IF (ASSOCIATED(vtau_rspace)) THEN
    1326           32 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1327           32 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1328           64 :          DO ispin = 1, nspins
    1329              :             CALL integrate_v_rspace(v_rspace=vtau_rspace(ispin), &
    1330              :                                     hmat=scrm(ispin), pmat=mpa(ispin), &
    1331              :                                     qs_env=qs_env, gapw=(gapw .OR. gapw_xc), &
    1332           96 :                                     calculate_forces=.TRUE., compute_tau=.TRUE.)
    1333              :          END DO
    1334           32 :          IF (debug_forces) THEN
    1335            0 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1336            0 :             CALL para_env%sum(fodeb)
    1337            0 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dVxc_tau   ", fodeb
    1338              :          END IF
    1339           32 :          IF (debug_stress .AND. use_virial) THEN
    1340            0 :             stdeb = fconv*(virial%pv_virial - pv_loc)
    1341            0 :             CALL para_env%sum(stdeb)
    1342            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1343            0 :                'STRESS| INT Pz*dVxc_tau   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1344              :          END IF
    1345              :       END IF
    1346         1146 :       CALL auxbas_pw_pool%give_back_pw(vhxc_rspace)
    1347              : 
    1348              :       ! Stress-tensor Pz*v_Hxc[Pin]
    1349         1146 :       IF (use_virial) THEN
    1350         2236 :          virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1351              :       END IF
    1352              : 
    1353              :       ! KG Embedding
    1354              :       ! calculate kinetic energy potential and integrate with response density
    1355         1146 :       IF (dft_control%qs_control%do_kg) THEN
    1356           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed .OR. &
    1357              :              qs_env%kg_env%tnadd_method == kg_tnadd_embed_ri) THEN
    1358              : 
    1359              :             ekin_mol = 0.0_dp
    1360           12 :             IF (use_virial) THEN
    1361          104 :                pv_loc = virial%pv_virial
    1362              :             END IF
    1363              : 
    1364           12 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1365              :             CALL kg_ekin_subset(qs_env=qs_env, &
    1366              :                                 ks_matrix=scrm, &
    1367              :                                 ekin_mol=ekin_mol, &
    1368              :                                 calc_force=.TRUE., &
    1369              :                                 do_kernel=.FALSE., &
    1370           12 :                                 pmat_ext=mpa)
    1371           12 :             IF (debug_forces) THEN
    1372            0 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1373            0 :                CALL para_env%sum(fodeb)
    1374            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dVkg   ", fodeb
    1375              :             END IF
    1376           12 :             IF (debug_stress .AND. use_virial) THEN
    1377              :                !IF (iounit > 0) WRITE(iounit, *) &
    1378              :                !   "response_force | VOL 1st KG - v_KG[n_in]*n_z: ", ekin_mol
    1379            0 :                stdeb = 1.0_dp*fconv*ekin_mol
    1380            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1381            0 :                   'STRESS| VOL KG Pz*dVKG ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1382              : 
    1383            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    1384            0 :                CALL para_env%sum(stdeb)
    1385            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1386            0 :                   'STRESS| INT KG Pz*dVKG  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1387              : 
    1388            0 :                stdeb = fconv*virial%pv_xc
    1389            0 :                CALL para_env%sum(stdeb)
    1390            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1391            0 :                   'STRESS| GGA KG Pz*dVKG  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1392              :             END IF
    1393           12 :             IF (use_virial) THEN
    1394              :                ! Direct integral contribution
    1395          104 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1396              :             END IF
    1397              : 
    1398              :          END IF ! tnadd_method
    1399              :       END IF ! do_kg
    1400              : 
    1401         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1402              : 
    1403              :       !
    1404              :       ! Hartree potential of response density
    1405              :       !
    1406         8242 :       ALLOCATE (rhoz_r(nspins), rhoz_g(nspins))
    1407         2402 :       DO ispin = 1, nspins
    1408         1256 :          CALL auxbas_pw_pool%create_pw(rhoz_r(ispin))
    1409         2402 :          CALL auxbas_pw_pool%create_pw(rhoz_g(ispin))
    1410              :       END DO
    1411         1146 :       CALL auxbas_pw_pool%create_pw(rhoz_tot_gspace)
    1412         1146 :       CALL auxbas_pw_pool%create_pw(zv_hartree_rspace)
    1413         1146 :       CALL auxbas_pw_pool%create_pw(zv_hartree_gspace)
    1414              : 
    1415         1146 :       CALL pw_zero(rhoz_tot_gspace)
    1416         2402 :       DO ispin = 1, nspins
    1417              :          CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1418              :                                  rho=rhoz_r(ispin), rho_gspace=rhoz_g(ispin), &
    1419         1256 :                                  soft_valid=gapw)
    1420         2402 :          CALL pw_axpy(rhoz_g(ispin), rhoz_tot_gspace)
    1421              :       END DO
    1422         1146 :       NULLIFY (tauz_r, tauz_r_xc)
    1423         1146 :       IF (gapw_xc) THEN
    1424          200 :          ALLOCATE (rhoz_r_xc(nspins), rhoz_g_xc(nspins))
    1425           80 :          DO ispin = 1, nspins
    1426           40 :             CALL auxbas_pw_pool%create_pw(rhoz_r_xc(ispin))
    1427           80 :             CALL auxbas_pw_pool%create_pw(rhoz_g_xc(ispin))
    1428              :          END DO
    1429           80 :          DO ispin = 1, nspins
    1430              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1431              :                                     rho=rhoz_r_xc(ispin), rho_gspace=rhoz_g_xc(ispin), &
    1432           80 :                                     soft_valid=gapw_xc)
    1433              :          END DO
    1434              :       END IF
    1435              : 
    1436         1146 :       IF (needs_tau_response) THEN
    1437              :          BLOCK
    1438              :             TYPE(pw_c1d_gs_type) :: work_g
    1439           96 :             ALLOCATE (tauz_r(nspins))
    1440           32 :             CALL auxbas_pw_pool%create_pw(work_g)
    1441           64 :             DO ispin = 1, nspins
    1442           32 :                CALL auxbas_pw_pool%create_pw(tauz_r(ispin))
    1443              :                CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1444              :                                        rho=tauz_r(ispin), rho_gspace=work_g, &
    1445           64 :                                        soft_valid=gapw, compute_tau=.TRUE.)
    1446              :             END DO
    1447           64 :             CALL auxbas_pw_pool%give_back_pw(work_g)
    1448              :          END BLOCK
    1449           32 :          IF (gapw_xc) THEN
    1450              :             BLOCK
    1451              :                TYPE(pw_c1d_gs_type) :: work_g
    1452            0 :                ALLOCATE (tauz_r_xc(nspins))
    1453            0 :                CALL auxbas_pw_pool%create_pw(work_g)
    1454            0 :                DO ispin = 1, nspins
    1455            0 :                   CALL auxbas_pw_pool%create_pw(tauz_r_xc(ispin))
    1456              :                   CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1457              :                                           rho=tauz_r_xc(ispin), rho_gspace=work_g, &
    1458            0 :                                           soft_valid=gapw_xc, compute_tau=.TRUE.)
    1459              :                END DO
    1460            0 :                CALL auxbas_pw_pool%give_back_pw(work_g)
    1461              :             END BLOCK
    1462              :          END IF
    1463              :       END IF
    1464              : 
    1465              :       !
    1466         1146 :       IF (PRESENT(rhopz_r)) THEN
    1467         1010 :          DO ispin = 1, nspins
    1468         1010 :             CALL pw_copy(rhoz_r(ispin), rhopz_r(ispin))
    1469              :          END DO
    1470              :       END IF
    1471              : 
    1472         1146 :       ALLOCATE (rho1)
    1473         1146 :       CALL qs_rho_create(rho1)
    1474         1146 :       IF (gapw_xc) THEN
    1475           40 :          CALL get_qs_env(qs_env=qs_env, rho_xc=rho_xc)
    1476           40 :          rho0 => rho_xc
    1477           40 :          IF (ASSOCIATED(tauz_r_xc)) THEN
    1478              :             CALL qs_rho_set(rho1, rho_r=rhoz_r_xc, rho_g=rhoz_g_xc, tau_r=tauz_r_xc, &
    1479            0 :                             rho_r_valid=.TRUE., rho_g_valid=.TRUE., tau_r_valid=.TRUE.)
    1480              :          ELSE
    1481              :             CALL qs_rho_set(rho1, rho_r=rhoz_r_xc, rho_g=rhoz_g_xc, &
    1482           40 :                             rho_r_valid=.TRUE., rho_g_valid=.TRUE.)
    1483              :          END IF
    1484              :       ELSE
    1485         1106 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1486         1106 :          rho0 => rho
    1487         1106 :          IF (ASSOCIATED(tauz_r)) THEN
    1488              :             CALL qs_rho_set(rho1, rho_r=rhoz_r, rho_g=rhoz_g, tau_r=tauz_r, &
    1489           32 :                             rho_r_valid=.TRUE., rho_g_valid=.TRUE., tau_r_valid=.TRUE.)
    1490              :          ELSE
    1491              :             CALL qs_rho_set(rho1, rho_r=rhoz_r, rho_g=rhoz_g, &
    1492         1074 :                             rho_r_valid=.TRUE., rho_g_valid=.TRUE.)
    1493              :          END IF
    1494              :       END IF
    1495              : 
    1496         1146 :       IF (dft_control%qs_control%gapw_control%accurate_xcint) THEN
    1497              :          ! GAPW Accurate integration
    1498          310 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1499           94 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1500              :          !
    1501           94 :          CALL accint_weight_force(qs_env, rho0, rho1, 1, xc_section)
    1502              :          !
    1503           94 :          IF (debug_forces) THEN
    1504          288 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1505           72 :             CALL para_env%sum(fodeb)
    1506           72 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc*dw     ", fodeb
    1507              :          END IF
    1508           94 :          IF (debug_stress .AND. use_virial) THEN
    1509            0 :             stdeb = fconv*(virial%pv_virial - stdeb)
    1510            0 :             CALL para_env%sum(stdeb)
    1511            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1512            0 :                'STRESS| INT Pz*dVxc*dw     ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1513              :          END IF
    1514              :       END IF
    1515              : 
    1516              :       ! Stress-tensor contribution second derivative
    1517              :       ! Volume : int v_H[n^z]*n_in
    1518              :       ! Volume : int epsilon_xc*n_z
    1519         1146 :       IF (use_virial) THEN
    1520              : 
    1521          172 :          CALL get_qs_env(qs_env, rho=rho)
    1522          172 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace)
    1523              : 
    1524              :          ! Get the total input density in g-space [ions + electrons]
    1525          172 :          CALL calc_rho_tot_gspace(rho_tot_gspace, qs_env, rho)
    1526              : 
    1527          172 :          h_stress(:, :) = 0.0_dp
    1528              :          ! calculate associated hartree potential
    1529              :          ! This term appears twice in the derivation of the equations
    1530              :          ! v_H[n_in]*n_z and v_H[n_z]*n_in
    1531              :          ! due to symmetry we only need to call this routine once,
    1532              :          ! and count the Volume and Green function contribution
    1533              :          ! which is stored in h_stress twice
    1534              :          CALL pw_poisson_solve(poisson_env, &
    1535              :                                density=rhoz_tot_gspace, &     ! n_z
    1536              :                                ehartree=ehartree, &
    1537              :                                vhartree=zv_hartree_gspace, &  ! v_H[n_z]
    1538              :                                h_stress=h_stress, &
    1539          172 :                                aux_density=rho_tot_gspace)  ! n_in
    1540              : 
    1541          172 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace)
    1542              : 
    1543              :          ! Stress tensor Green function contribution
    1544         2236 :          virial%pv_ehartree = virial%pv_ehartree + 2.0_dp*h_stress/REAL(para_env%num_pe, dp)
    1545         2236 :          virial%pv_virial = virial%pv_virial + 2.0_dp*h_stress/REAL(para_env%num_pe, dp)
    1546              : 
    1547          172 :          IF (debug_stress) THEN
    1548            0 :             stdeb = -1.0_dp*fconv*ehartree
    1549            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1550            0 :                'STRESS| VOL 1st v_H[n_z]*n_in  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1551            0 :             stdeb = -1.0_dp*fconv*ehartree
    1552            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1553            0 :                'STRESS| VOL 2nd v_H[n_in]*n_z  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1554            0 :             stdeb = fconv*(h_stress/REAL(para_env%num_pe, dp))
    1555            0 :             CALL para_env%sum(stdeb)
    1556            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1557            0 :                'STRESS| GREEN 1st v_H[n_z]*n_in  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1558            0 :             stdeb = fconv*(h_stress/REAL(para_env%num_pe, dp))
    1559            0 :             CALL para_env%sum(stdeb)
    1560            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1561            0 :                'STRESS| GREEN 2nd v_H[n_in]*n_z   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1562              :          END IF
    1563              : 
    1564              :          ! Stress tensor volume term: \int v_xc[n_in]*n_z
    1565              :          ! vxc_rspace already scaled, we need to unscale it!
    1566          172 :          exc = 0.0_dp
    1567          344 :          DO ispin = 1, nspins
    1568              :             exc = exc + pw_integral_ab(rhoz_r(ispin), vxc_rspace(ispin))/ &
    1569          344 :                   vxc_rspace(ispin)%pw_grid%dvol
    1570              :          END DO
    1571          172 :          IF (ASSOCIATED(vtau_rspace)) THEN
    1572           32 :             DO ispin = 1, nspins
    1573              :                exc = exc + pw_integral_ab(tauz_r(ispin), vtau_rspace(ispin))/ &
    1574           32 :                      vtau_rspace(ispin)%pw_grid%dvol
    1575              :             END DO
    1576              :          END IF
    1577              : 
    1578              :          ! Add KG embedding correction
    1579          172 :          IF (dft_control%qs_control%do_kg) THEN
    1580           18 :             IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed .OR. &
    1581              :                 qs_env%kg_env%tnadd_method == kg_tnadd_embed_ri) THEN
    1582            8 :                exc = exc - ekin_mol
    1583              :             END IF
    1584              :          END IF
    1585              : 
    1586          172 :          IF (debug_stress) THEN
    1587            0 :             stdeb = -1.0_dp*fconv*exc
    1588            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1589            0 :                'STRESS| VOL 1st eps_XC[n_in]*n_z', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1590              :          END IF
    1591              : 
    1592              :       ELSE ! use_virial
    1593              : 
    1594              :          ! calculate associated hartree potential
    1595              :          ! contribution for both T and D^Z
    1596          974 :          IF (gapw) THEN
    1597          176 :             CALL pw_axpy(local_rho_set_t%rho0_mpole%rho0_s_gs, rhoz_tot_gspace)
    1598          176 :             IF (ASSOCIATED(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1599            0 :                CALL pw_axpy(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs, rhoz_tot_gspace)
    1600              :             END IF
    1601              :          END IF
    1602          974 :          CALL pw_poisson_solve(poisson_env, rhoz_tot_gspace, ehartree, zv_hartree_gspace)
    1603              : 
    1604              :       END IF ! use virial
    1605         1146 :       IF (gapw .OR. gapw_xc) THEN
    1606          216 :          IF (ASSOCIATED(local_rho_set_t)) CALL local_rho_set_release(local_rho_set_t)
    1607              :       END IF
    1608              : 
    1609         1644 :       IF (debug_forces) fodeb(1:3) = force(1)%rho_core(1:3, 1)
    1610         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_ehartree
    1611         1146 :       CALL pw_transfer(zv_hartree_gspace, zv_hartree_rspace)
    1612         1146 :       CALL pw_scale(zv_hartree_rspace, zv_hartree_rspace%pw_grid%dvol)
    1613              :       ! Getting nuclear force contribution from the core charge density (not for GAPW)
    1614         1146 :       CALL integrate_v_core_rspace(zv_hartree_rspace, qs_env)
    1615         1146 :       IF (debug_forces) THEN
    1616          664 :          fodeb(1:3) = force(1)%rho_core(1:3, 1) - fodeb(1:3)
    1617          166 :          CALL para_env%sum(fodeb)
    1618          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Vh(rhoz)*dncore ", fodeb
    1619              :       END IF
    1620         1146 :       IF (debug_stress .AND. use_virial) THEN
    1621            0 :          stdeb = fconv*(virial%pv_ehartree - stdeb)
    1622            0 :          CALL para_env%sum(stdeb)
    1623            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1624            0 :             'STRESS| INT Vh(rhoz)*dncore   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1625              :       END IF
    1626              : 
    1627              :       !
    1628         1146 :       IF (gapw_xc) THEN
    1629           40 :          CALL get_qs_env(qs_env=qs_env, rho_xc=rho_xc)
    1630              :       ELSE
    1631         1106 :          CALL get_qs_env(qs_env=qs_env, rho=rho)
    1632              :       END IF
    1633         1146 :       IF (dft_control%do_admm) THEN
    1634          256 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1635          256 :          xc_section => admm_env%xc_section_primary
    1636              :       ELSE
    1637          890 :          xc_section => section_vals_get_subs_vals(qs_env%input, "DFT%XC")
    1638              :       END IF
    1639              : 
    1640         1146 :       IF (use_virial) THEN
    1641         2236 :          virial%pv_xc = 0.0_dp
    1642              :       END IF
    1643              : 
    1644         1146 :       IF (gapw .OR. gapw_xc) THEN
    1645              :          !get local_rho_set for GS density and response potential / density
    1646          216 :          NULLIFY (local_rho_set_t)
    1647          216 :          CALL local_rho_set_create(local_rho_set_t)
    1648              :          CALL allocate_rho_atom_internals(local_rho_set_t%rho_atom_set, atomic_kind_set, &
    1649          216 :                                           qs_kind_set, dft_control, para_env)
    1650              :          CALL init_rho0(local_rho_set_t, qs_env, dft_control%qs_control%gapw_control, &
    1651          216 :                         zcore=0.0_dp)
    1652          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_t%rho0_mpole)
    1653              :          CALL calculate_rho_atom_coeff(qs_env, mpa(:), local_rho_set_t%rho_atom_set, &
    1654          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1655          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_t, do_rho0=gapw)
    1656          216 :          NULLIFY (local_rho_set_gs)
    1657          216 :          CALL local_rho_set_create(local_rho_set_gs)
    1658              :          CALL allocate_rho_atom_internals(local_rho_set_gs%rho_atom_set, atomic_kind_set, &
    1659          216 :                                           qs_kind_set, dft_control, para_env)
    1660          216 :          CALL init_rho0(local_rho_set_gs, qs_env, dft_control%qs_control%gapw_control)
    1661          216 :          CALL rho0_s_grid_create(pw_env, local_rho_set_gs%rho0_mpole)
    1662              :          CALL calculate_rho_atom_coeff(qs_env, matrix_p(:, 1), local_rho_set_gs%rho_atom_set, &
    1663          216 :                                        qs_kind_set, oce, sab_orb, para_env)
    1664          216 :          CALL prepare_gapw_den(qs_env, local_rho_set_gs, do_rho0=gapw)
    1665              :          ! compute response potential
    1666         1084 :          ALLOCATE (rho_r_t(nspins), rho_g_t(nspins))
    1667          434 :          DO ispin = 1, nspins
    1668          218 :             CALL auxbas_pw_pool%create_pw(rho_r_t(ispin))
    1669          434 :             CALL auxbas_pw_pool%create_pw(rho_g_t(ispin))
    1670              :          END DO
    1671          216 :          CALL auxbas_pw_pool%create_pw(rho_tot_gspace_t)
    1672          216 :          total_rho_t = 0.0_dp
    1673          216 :          CALL pw_zero(rho_tot_gspace_t)
    1674          434 :          DO ispin = 1, nspins
    1675              :             CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpa(ispin)%matrix, &
    1676              :                                     rho=rho_r_t(ispin), &
    1677              :                                     rho_gspace=rho_g_t(ispin), &
    1678              :                                     soft_valid=gapw, &
    1679          218 :                                     total_rho=total_rho_t(ispin))
    1680          434 :             CALL pw_axpy(rho_g_t(ispin), rho_tot_gspace_t)
    1681              :          END DO
    1682              :          ! add rho0 contributions to response density (only for Coulomb) only for gapw
    1683          216 :          IF (gapw) THEN
    1684          176 :             CALL pw_axpy(local_rho_set_t%rho0_mpole%rho0_s_gs, rho_tot_gspace_t)
    1685          176 :             IF (ASSOCIATED(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs)) THEN
    1686            0 :                CALL pw_axpy(local_rho_set_t%rho0_mpole%rhoz_cneo_s_gs, rho_tot_gspace_t)
    1687              :             END IF
    1688              :             ! compute response Coulomb potential
    1689          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_gspace_t)
    1690          176 :             CALL auxbas_pw_pool%create_pw(v_hartree_rspace_t)
    1691          176 :             NULLIFY (hartree_local_t)
    1692          176 :             CALL hartree_local_create(hartree_local_t)
    1693          176 :             CALL init_coulomb_local(hartree_local_t, natom)
    1694          176 :             CALL pw_poisson_solve(poisson_env, rho_tot_gspace_t, hartree_t, v_hartree_gspace_t)
    1695          176 :             CALL pw_transfer(v_hartree_gspace_t, v_hartree_rspace_t)
    1696          176 :             CALL pw_scale(v_hartree_rspace_t, v_hartree_rspace_t%pw_grid%dvol)
    1697              :             !
    1698          584 :             IF (debug_forces) fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1)
    1699              :             CALL Vh_1c_gg_integrals(qs_env, hartree_t, hartree_local_t%ecoul_1c, local_rho_set_gs, para_env, tddft=.FALSE., &
    1700          176 :                                     local_rho_set_2nd=local_rho_set_t, core_2nd=.TRUE.) ! n^core for GS potential
    1701              :             CALL integrate_vhg0_rspace(qs_env, v_hartree_rspace_t, para_env, calculate_forces=.TRUE., &
    1702          176 :                                        local_rho_set=local_rho_set_gs, local_rho_set_2nd=local_rho_set_t)
    1703          176 :             IF (debug_forces) THEN
    1704          544 :                fodeb(1:3) = force(1)%g0s_Vh_elec(1:3, 1) - fodeb(1:3)
    1705          136 :                CALL para_env%sum(fodeb)
    1706          136 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Vh(T)*dncore PAWg0", fodeb
    1707              :             END IF
    1708              :          END IF !gapw
    1709              :       END IF !gapw
    1710              : 
    1711         1146 :       do_onecenter = .FALSE.
    1712         1146 :       NULLIFY (rho0_atom_set, rho1_atom_set)
    1713         1146 :       IF (gapw .OR. gapw_xc) THEN
    1714              :          !GAPW compute atomic fxc contributions
    1715          216 :          IF (myfun /= xc_none) THEN
    1716              :             ! local_rho_set_f
    1717          192 :             NULLIFY (local_rho_set_f)
    1718          192 :             CALL local_rho_set_create(local_rho_set_f)
    1719              :             CALL allocate_rho_atom_internals(local_rho_set_f%rho_atom_set, atomic_kind_set, &
    1720          192 :                                              qs_kind_set, dft_control, para_env)
    1721              :             CALL calculate_rho_atom_coeff(qs_env, mpa, local_rho_set_f%rho_atom_set, &
    1722          192 :                                           qs_kind_set, oce, sab_orb, para_env)
    1723          192 :             CALL prepare_gapw_den(qs_env, local_rho_set_f, do_rho0=.FALSE.)
    1724          192 :             rho0_atom_set => local_rho_set_gs%rho_atom_set
    1725          192 :             rho1_atom_set => local_rho_set_f%rho_atom_set
    1726          192 :             do_onecenter = .TRUE.
    1727              :          END IF ! myfun
    1728              :       END IF
    1729              : 
    1730         1146 :       NULLIFY (v_xc, v_xc_tau)
    1731              :       CALL qs_fxc_create(qs_env, rho0, rho1, rho0_atom_set, xc_section, do_onecenter, &
    1732              :                          v_xc, v_xc_tau, rho1_atom_set, &
    1733         1146 :                          compute_virial=use_virial, virial_xc=virial%pv_xc)
    1734         1146 :       DEALLOCATE (rho1)
    1735              : 
    1736              :       ! Stress-tensor XC-kernel GGA contribution
    1737         1146 :       IF (use_virial) THEN
    1738         2236 :          virial%pv_exc = virial%pv_exc + virial%pv_xc
    1739         2236 :          virial%pv_virial = virial%pv_virial + virial%pv_xc
    1740              :       END IF
    1741              : 
    1742         1146 :       IF (debug_stress .AND. use_virial) THEN
    1743            0 :          stdeb = 1.0_dp*fconv*virial%pv_xc
    1744            0 :          CALL para_env%sum(stdeb)
    1745            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1746            0 :             'STRESS| GGA 2nd Pin*dK*rhoz', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1747              :       END IF
    1748              : 
    1749              :       ! Stress-tensor integral contribution of 2nd derivative terms
    1750         1146 :       IF (use_virial) THEN
    1751         2236 :          pv_loc = virial%pv_virial
    1752              :       END IF
    1753              : 
    1754         1146 :       CALL get_qs_env(qs_env=qs_env, rho=rho)
    1755         1146 :       CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    1756         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1757              : 
    1758         2402 :       DO ispin = 1, nspins
    1759         2402 :          CALL pw_scale(v_xc(ispin), v_xc(ispin)%pw_grid%dvol)
    1760              :       END DO
    1761         1146 :       IF ((.NOT. (gapw)) .AND. (.NOT. gapw_xc)) THEN
    1762          942 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1763         1968 :          DO ispin = 1, nspins
    1764         1038 :             CALL pw_axpy(zv_hartree_rspace, v_xc(ispin)) ! Hartree potential of response density
    1765              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1766              :                                     v_rspace=v_xc(ispin), &
    1767              :                                     hmat=matrix_hz(ispin), &
    1768              :                                     pmat=matrix_p(ispin, 1), &
    1769              :                                     gapw=.FALSE., &
    1770         1968 :                                     calculate_forces=.TRUE.)
    1771              :          END DO
    1772          930 :          IF (debug_forces) THEN
    1773           16 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1774            4 :             CALL para_env%sum(fodeb)
    1775            4 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKhxc*rhoz ", fodeb
    1776              :          END IF
    1777              :       ELSE
    1778          702 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1779          216 :          IF (myfun /= xc_none) THEN
    1780          386 :             DO ispin = 1, nspins
    1781              :                CALL integrate_v_rspace(qs_env=qs_env, &
    1782              :                                        v_rspace=v_xc(ispin), &
    1783              :                                        hmat=matrix_hz(ispin), &
    1784              :                                        pmat=matrix_p(ispin, 1), &
    1785              :                                        gapw=.TRUE., &
    1786          386 :                                        calculate_forces=.TRUE.)
    1787              :             END DO
    1788              :          END IF ! my_fun
    1789              :          ! Coulomb T+Dz
    1790          434 :          DO ispin = 1, nspins
    1791          218 :             CALL pw_zero(v_xc(ispin))
    1792          218 :             IF (gapw) THEN ! Hartree potential of response density
    1793          178 :                CALL pw_axpy(v_hartree_rspace_t, v_xc(ispin))
    1794           40 :             ELSE IF (gapw_xc) THEN
    1795           40 :                CALL pw_axpy(zv_hartree_rspace, v_xc(ispin))
    1796              :             END IF
    1797              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1798              :                                     v_rspace=v_xc(ispin), &
    1799              :                                     hmat=matrix_ht(ispin), &
    1800              :                                     pmat=matrix_p(ispin, 1), &
    1801              :                                     gapw=gapw, &
    1802          434 :                                     calculate_forces=.TRUE.)
    1803              :          END DO
    1804          216 :          IF (debug_forces) THEN
    1805          648 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1806          162 :             CALL para_env%sum(fodeb)
    1807          162 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKhxc*rhoz ", fodeb
    1808              :          END IF
    1809              :       END IF
    1810              : 
    1811         1146 :       IF (gapw .OR. gapw_xc) THEN
    1812              :          ! compute hard and soft atomic contributions
    1813          216 :          IF (myfun /= xc_none) THEN
    1814          606 :             IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1815              :             CALL update_ks_atom(qs_env, matrix_hz, matrix_p, forces=.TRUE., tddft=.FALSE., &
    1816          192 :                                 rho_atom_external=local_rho_set_f%rho_atom_set)
    1817          192 :             IF (debug_forces) THEN
    1818          552 :                fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1819          138 :                CALL para_env%sum(fodeb)
    1820          138 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: P^GS*dKxc*(Dz+T) PAW", fodeb
    1821              :             END IF
    1822              :          END IF !myfun
    1823              :          ! Coulomb contributions
    1824          216 :          IF (gapw) THEN
    1825          584 :             IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    1826              :             CALL update_ks_atom(qs_env, matrix_ht, matrix_p, forces=.TRUE., tddft=.FALSE., &
    1827          176 :                                 rho_atom_external=local_rho_set_t%rho_atom_set)
    1828          176 :             IF (debug_forces) THEN
    1829          544 :                fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    1830          136 :                CALL para_env%sum(fodeb)
    1831          136 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: P^GS*dKh*(Dz+T) PAW", fodeb
    1832              :             END IF
    1833              :          END IF
    1834              :          ! add Coulomb and XC
    1835          434 :          DO ispin = 1, nspins
    1836          434 :             CALL dbcsr_add(matrix_hz(ispin)%matrix, matrix_ht(ispin)%matrix, 1.0_dp, 1.0_dp)
    1837              :          END DO
    1838              : 
    1839              :          ! release
    1840          216 :          IF (myfun /= xc_none) THEN
    1841          192 :             IF (ASSOCIATED(local_rho_set_f)) CALL local_rho_set_release(local_rho_set_f)
    1842              :          END IF
    1843          216 :          IF (ASSOCIATED(local_rho_set_t)) CALL local_rho_set_release(local_rho_set_t)
    1844          216 :          IF (ASSOCIATED(local_rho_set_gs)) CALL local_rho_set_release(local_rho_set_gs)
    1845          216 :          IF (gapw) THEN
    1846          176 :             IF (ASSOCIATED(hartree_local_t)) CALL hartree_local_release(hartree_local_t)
    1847          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_gspace_t)
    1848          176 :             CALL auxbas_pw_pool%give_back_pw(v_hartree_rspace_t)
    1849              :          END IF
    1850          216 :          CALL auxbas_pw_pool%give_back_pw(rho_tot_gspace_t)
    1851          434 :          DO ispin = 1, nspins
    1852          218 :             CALL auxbas_pw_pool%give_back_pw(rho_r_t(ispin))
    1853          434 :             CALL auxbas_pw_pool%give_back_pw(rho_g_t(ispin))
    1854              :          END DO
    1855          216 :          DEALLOCATE (rho_r_t, rho_g_t)
    1856              :       END IF ! gapw
    1857              : 
    1858         1146 :       IF (debug_stress .AND. use_virial) THEN
    1859            0 :          stdeb = fconv*(virial%pv_virial - stdeb)
    1860            0 :          CALL para_env%sum(stdeb)
    1861            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1862            0 :             'STRESS| INT 2nd f_Hxc[Pz]*Pin', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1863              :       END IF
    1864              :       !
    1865         1146 :       IF (ASSOCIATED(v_xc_tau)) THEN
    1866           32 :          IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1867           32 :          IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    1868           64 :          DO ispin = 1, nspins
    1869           32 :             CALL pw_scale(v_xc_tau(ispin), v_xc_tau(ispin)%pw_grid%dvol)
    1870              :             CALL integrate_v_rspace(qs_env=qs_env, &
    1871              :                                     v_rspace=v_xc_tau(ispin), &
    1872              :                                     hmat=matrix_hz(ispin), &
    1873              :                                     pmat=matrix_p(ispin, 1), &
    1874              :                                     compute_tau=.TRUE., &
    1875              :                                     gapw=(gapw .OR. gapw_xc), &
    1876           96 :                                     calculate_forces=.TRUE.)
    1877              :          END DO
    1878           32 :          IF (debug_forces) THEN
    1879            0 :             fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1880            0 :             CALL para_env%sum(fodeb)
    1881            0 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dKtau*tauz ", fodeb
    1882              :          END IF
    1883              :       END IF
    1884         1146 :       IF (debug_stress .AND. use_virial) THEN
    1885            0 :          stdeb = fconv*(virial%pv_virial - stdeb)
    1886            0 :          CALL para_env%sum(stdeb)
    1887            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1888            0 :             'STRESS| INT 2nd f_xctau[Pz]*Pin', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1889              :       END IF
    1890              :       ! Stress-tensor integral contribution of 2nd derivative terms
    1891         1146 :       IF (use_virial) THEN
    1892         2236 :          virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1893              :       END IF
    1894              : 
    1895              :       ! KG Embedding
    1896              :       ! calculate kinetic energy kernel, folded with response density for partial integration
    1897         1146 :       IF (dft_control%qs_control%do_kg) THEN
    1898           24 :          IF (qs_env%kg_env%tnadd_method == kg_tnadd_embed) THEN
    1899              :             ekin_mol = 0.0_dp
    1900           12 :             IF (use_virial) THEN
    1901          104 :                pv_loc = virial%pv_virial
    1902              :             END IF
    1903              : 
    1904           12 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    1905          108 :             IF (use_virial) virial%pv_xc = 0.0_dp
    1906              :             CALL kg_ekin_subset(qs_env=qs_env, &
    1907              :                                 ks_matrix=matrix_hz, &
    1908              :                                 ekin_mol=ekin_mol, &
    1909              :                                 calc_force=.TRUE., &
    1910              :                                 do_kernel=.TRUE., &
    1911           12 :                                 pmat_ext=matrix_pz)
    1912              : 
    1913           12 :             IF (debug_forces) THEN
    1914            0 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    1915            0 :                CALL para_env%sum(fodeb)
    1916            0 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*d(Kkg)*rhoz ", fodeb
    1917              :             END IF
    1918           12 :             IF (debug_stress .AND. use_virial) THEN
    1919            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    1920            0 :                CALL para_env%sum(stdeb)
    1921            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1922            0 :                   'STRESS| INT KG Pin*d(KKG)*rhoz    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1923              : 
    1924            0 :                stdeb = fconv*(virial%pv_xc)
    1925            0 :                CALL para_env%sum(stdeb)
    1926            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    1927            0 :                   'STRESS| GGA KG Pin*d(KKG)*rhoz    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    1928              :             END IF
    1929              : 
    1930              :             ! Stress tensor
    1931           12 :             IF (use_virial) THEN
    1932              :                ! XC-kernel Integral contribution
    1933          104 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    1934              : 
    1935              :                ! XC-kernel GGA contribution
    1936          104 :                virial%pv_exc = virial%pv_exc - virial%pv_xc
    1937          104 :                virial%pv_virial = virial%pv_virial - virial%pv_xc
    1938          104 :                virial%pv_xc = 0.0_dp
    1939              :             END IF
    1940              :          END IF
    1941              :       END IF
    1942         1146 :       CALL auxbas_pw_pool%give_back_pw(rhoz_tot_gspace)
    1943         1146 :       CALL auxbas_pw_pool%give_back_pw(zv_hartree_gspace)
    1944         1146 :       CALL auxbas_pw_pool%give_back_pw(zv_hartree_rspace)
    1945         2402 :       DO ispin = 1, nspins
    1946         1256 :          CALL auxbas_pw_pool%give_back_pw(rhoz_r(ispin))
    1947         1256 :          CALL auxbas_pw_pool%give_back_pw(rhoz_g(ispin))
    1948         2402 :          CALL auxbas_pw_pool%give_back_pw(v_xc(ispin))
    1949              :       END DO
    1950         1146 :       DEALLOCATE (rhoz_r, rhoz_g, v_xc)
    1951         1146 :       IF (gapw_xc) THEN
    1952           80 :          DO ispin = 1, nspins
    1953           40 :             CALL auxbas_pw_pool%give_back_pw(rhoz_r_xc(ispin))
    1954           80 :             CALL auxbas_pw_pool%give_back_pw(rhoz_g_xc(ispin))
    1955              :          END DO
    1956           40 :          DEALLOCATE (rhoz_r_xc, rhoz_g_xc)
    1957              :       END IF
    1958         1146 :       IF (ASSOCIATED(v_xc_tau)) THEN
    1959           64 :          DO ispin = 1, nspins
    1960           32 :             CALL auxbas_pw_pool%give_back_pw(tauz_r(ispin))
    1961           64 :             CALL auxbas_pw_pool%give_back_pw(v_xc_tau(ispin))
    1962              :          END DO
    1963           32 :          DEALLOCATE (tauz_r, v_xc_tau)
    1964           32 :          IF (ASSOCIATED(tauz_r_xc)) THEN
    1965            0 :             DO ispin = 1, nspins
    1966            0 :                CALL auxbas_pw_pool%give_back_pw(tauz_r_xc(ispin))
    1967              :             END DO
    1968            0 :             DEALLOCATE (tauz_r_xc)
    1969              :          END IF
    1970              :       END IF
    1971         1146 :       IF (debug_forces) THEN
    1972          498 :          ALLOCATE (ftot3(3, natom))
    1973          166 :          CALL total_qs_force(ftot3, force, atomic_kind_set)
    1974          664 :          fodeb(1:3) = ftot3(1:3, 1) - ftot2(1:3, 1)
    1975          166 :          CALL para_env%sum(fodeb)
    1976          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*V(rhoz)", fodeb
    1977              :       END IF
    1978         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    1979         1146 :       CALL dbcsr_deallocate_matrix_set(matrix_ht)
    1980              : 
    1981              :       ! -----------------------------------------
    1982              :       ! Apply ADMM exchange correction
    1983              :       ! -----------------------------------------
    1984              : 
    1985         1146 :       IF (dft_control%do_admm) THEN
    1986              :          ! volume term
    1987          256 :          exc_aux_fit = 0.0_dp
    1988              : 
    1989          256 :          IF (qs_env%admm_env%aux_exch_func == do_admm_aux_exch_func_none) THEN
    1990              :             ! nothing to do
    1991          112 :             NULLIFY (mpz, mhz, mhx, mhy)
    1992              :          ELSE
    1993              :             ! add ADMM xc_section_aux terms: Pz*Vxc + P0*K0[rhoz]
    1994          144 :             CALL get_qs_env(qs_env, admm_env=admm_env)
    1995              :             CALL get_admm_env(admm_env, rho_aux_fit=rho_aux_fit, matrix_s_aux_fit=scrm, &
    1996          144 :                               task_list_aux_fit=task_list_aux_fit)
    1997              :             !
    1998          144 :             NULLIFY (mpz, mhz, mhx, mhy)
    1999          144 :             CALL dbcsr_allocate_matrix_set(mhx, nspins, 1)
    2000          144 :             CALL dbcsr_allocate_matrix_set(mhy, nspins, 1)
    2001          144 :             CALL dbcsr_allocate_matrix_set(mpz, nspins, 1)
    2002          296 :             DO ispin = 1, nspins
    2003          152 :                ALLOCATE (mhx(ispin, 1)%matrix)
    2004          152 :                CALL dbcsr_create(mhx(ispin, 1)%matrix, template=scrm(1)%matrix)
    2005          152 :                CALL dbcsr_copy(mhx(ispin, 1)%matrix, scrm(1)%matrix)
    2006          152 :                CALL dbcsr_set(mhx(ispin, 1)%matrix, 0.0_dp)
    2007          152 :                ALLOCATE (mhy(ispin, 1)%matrix)
    2008          152 :                CALL dbcsr_create(mhy(ispin, 1)%matrix, template=scrm(1)%matrix)
    2009          152 :                CALL dbcsr_copy(mhy(ispin, 1)%matrix, scrm(1)%matrix)
    2010          152 :                CALL dbcsr_set(mhy(ispin, 1)%matrix, 0.0_dp)
    2011          152 :                ALLOCATE (mpz(ispin, 1)%matrix)
    2012          296 :                IF (do_ex) THEN
    2013           94 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=p_env%p1_admm(ispin)%matrix)
    2014           94 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, p_env%p1_admm(ispin)%matrix)
    2015              :                   CALL dbcsr_add(mpz(ispin, 1)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2016           94 :                                  1.0_dp, 1.0_dp)
    2017              :                ELSE
    2018           58 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=matrix_pz_admm(ispin)%matrix)
    2019           58 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, matrix_pz_admm(ispin)%matrix)
    2020              :                END IF
    2021              :             END DO
    2022              :             !
    2023          144 :             xc_section => admm_env%xc_section_aux
    2024          144 :             xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
    2025          144 :             needs = xc_functionals_get_needs(xc_fun_section, (nspins == 2), .TRUE.)
    2026          144 :             needs_tau_response_aux = needs%tau .OR. needs%tau_spin
    2027              :             ! Stress-tensor: integration contribution direct term
    2028              :             ! int Pz*v_xc[rho_admm]
    2029          144 :             IF (use_virial) THEN
    2030          260 :                pv_loc = virial%pv_virial
    2031              :             END IF
    2032              : 
    2033          144 :             basis_type = "AUX_FIT"
    2034          144 :             task_list => task_list_aux_fit
    2035          144 :             IF (admm_env%do_gapw) THEN
    2036           14 :                basis_type = "AUX_FIT_SOFT"
    2037           14 :                task_list => admm_env%admm_gapw_env%task_list
    2038              :             END IF
    2039              :             !
    2040          180 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2041          144 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2042          296 :             DO ispin = 1, nspins
    2043              :                CALL integrate_v_rspace(v_rspace=vadmm_rspace(ispin), &
    2044              :                                        hmat=mhx(ispin, 1), pmat=mpz(ispin, 1), &
    2045              :                                        qs_env=qs_env, calculate_forces=.TRUE., &
    2046          152 :                                        basis_type=basis_type, task_list_external=task_list)
    2047          296 :                IF (ASSOCIATED(vadmm_tau_rspace)) THEN
    2048              :                   CALL integrate_v_rspace(v_rspace=vadmm_tau_rspace(ispin), &
    2049              :                                           hmat=mhx(ispin, 1), pmat=mpz(ispin, 1), &
    2050              :                                           qs_env=qs_env, calculate_forces=.TRUE., compute_tau=.TRUE., &
    2051            0 :                                           basis_type=basis_type, task_list_external=task_list)
    2052              :                END IF
    2053              :             END DO
    2054          144 :             IF (debug_forces) THEN
    2055           48 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2056           12 :                CALL para_env%sum(fodeb)
    2057           12 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc(rho_admm)", fodeb
    2058              :             END IF
    2059          144 :             IF (debug_stress .AND. use_virial) THEN
    2060            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    2061            0 :                CALL para_env%sum(stdeb)
    2062            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2063            0 :                   'STRESS| INT 1st Pz*dVxc(rho_admm)   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2064              :             END IF
    2065              :             ! Stress-tensor Pz_admm*v_xc[rho_admm]
    2066          144 :             IF (use_virial) THEN
    2067          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2068              :             END IF
    2069              :             !
    2070          144 :             IF (admm_env%do_gapw) THEN
    2071           14 :                CALL get_admm_env(admm_env, sab_aux_fit=sab_aux_fit)
    2072           50 :                IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    2073              :                CALL update_ks_atom(qs_env, mhx(:, 1), mpz(:, 1), forces=.TRUE., tddft=.FALSE., &
    2074              :                                    rho_atom_external=admm_env%admm_gapw_env%local_rho_set%rho_atom_set, &
    2075              :                                    kind_set_external=admm_env%admm_gapw_env%admm_kind_set, &
    2076              :                                    oce_external=admm_env%admm_gapw_env%oce, &
    2077           14 :                                    sab_external=sab_aux_fit)
    2078           14 :                IF (debug_forces) THEN
    2079           48 :                   fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    2080           12 :                   CALL para_env%sum(fodeb)
    2081           12 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*Vxc(rho_admm)PAW", fodeb
    2082              :                END IF
    2083              :             END IF
    2084              :             !
    2085              :             ! rhoz_aux
    2086          144 :             NULLIFY (rhoz_g_aux, rhoz_r_aux, rhoz_tau_r_aux)
    2087         1024 :             ALLOCATE (rhoz_r_aux(nspins), rhoz_g_aux(nspins))
    2088          296 :             DO ispin = 1, nspins
    2089          152 :                CALL auxbas_pw_pool%create_pw(rhoz_r_aux(ispin))
    2090          296 :                CALL auxbas_pw_pool%create_pw(rhoz_g_aux(ispin))
    2091              :             END DO
    2092          296 :             DO ispin = 1, nspins
    2093              :                CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpz(ispin, 1)%matrix, &
    2094              :                                        rho=rhoz_r_aux(ispin), rho_gspace=rhoz_g_aux(ispin), &
    2095          296 :                                        basis_type=basis_type, task_list_external=task_list)
    2096              :             END DO
    2097          144 :             IF (needs_tau_response_aux .OR. ASSOCIATED(vadmm_tau_rspace)) THEN
    2098              :                BLOCK
    2099              :                   TYPE(pw_c1d_gs_type) :: work_g
    2100            0 :                   ALLOCATE (rhoz_tau_r_aux(nspins))
    2101            0 :                   CALL auxbas_pw_pool%create_pw(work_g)
    2102            0 :                   DO ispin = 1, nspins
    2103            0 :                      CALL auxbas_pw_pool%create_pw(rhoz_tau_r_aux(ispin))
    2104              :                      CALL calculate_rho_elec(ks_env=ks_env, matrix_p=mpz(ispin, 1)%matrix, &
    2105              :                                              rho=rhoz_tau_r_aux(ispin), rho_gspace=work_g, &
    2106              :                                              basis_type=basis_type, task_list_external=task_list, &
    2107            0 :                                              compute_tau=.TRUE.)
    2108              :                   END DO
    2109            0 :                   CALL auxbas_pw_pool%give_back_pw(work_g)
    2110              :                END BLOCK
    2111              :             END IF
    2112              :             !
    2113              :             ! Add ADMM volume contribution to stress tensor
    2114          144 :             IF (use_virial) THEN
    2115              : 
    2116              :                ! Stress tensor volume term: \int v_xc[n_in_admm]*n_z_admm
    2117              :                ! vadmm_rspace already scaled, we need to unscale it!
    2118           40 :                DO ispin = 1, nspins
    2119              :                   exc_aux_fit = exc_aux_fit + pw_integral_ab(rhoz_r_aux(ispin), vadmm_rspace(ispin))/ &
    2120           40 :                                 vadmm_rspace(ispin)%pw_grid%dvol
    2121              :                END DO
    2122           20 :                IF (ASSOCIATED(vadmm_tau_rspace) .AND. ASSOCIATED(rhoz_tau_r_aux)) THEN
    2123            0 :                   DO ispin = 1, nspins
    2124              :                      exc_aux_fit = exc_aux_fit + pw_integral_ab(rhoz_tau_r_aux(ispin), vadmm_tau_rspace(ispin))/ &
    2125            0 :                                    vadmm_tau_rspace(ispin)%pw_grid%dvol
    2126              :                   END DO
    2127              :                END IF
    2128              : 
    2129           20 :                IF (debug_stress) THEN
    2130            0 :                   stdeb = -1.0_dp*fconv*exc_aux_fit
    2131            0 :                   IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T43,2(1X,ES19.11))") &
    2132            0 :                      'STRESS| VOL 1st eps_XC[n_in_admm]*n_z_admm', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2133              :                END IF
    2134              : 
    2135              :             END IF
    2136              :             !
    2137          144 :             NULLIFY (v_xc, v_xc_tau)
    2138              : 
    2139          384 :             IF (use_virial) virial%pv_xc = 0.0_dp
    2140              : 
    2141          144 :             NULLIFY (rho0_atom_set, rho1_atom_set)
    2142          144 :             kind_set => qs_kind_set
    2143          144 :             IF (admm_env%do_gapw) THEN
    2144           14 :                kind_set => admm_env%admm_gapw_env%admm_kind_set
    2145           14 :                CALL local_rho_set_create(local_rhoz_set_admm)
    2146              :                CALL allocate_rho_atom_internals(local_rhoz_set_admm%rho_atom_set, atomic_kind_set, &
    2147           14 :                                                 kind_set, dft_control, para_env)
    2148              :                CALL calculate_rho_atom_coeff(qs_env, mpz(:, 1), local_rhoz_set_admm%rho_atom_set, &
    2149           14 :                                              kind_set, admm_env%admm_gapw_env%oce, sab_aux_fit, para_env)
    2150              :                CALL prepare_gapw_den(qs_env, local_rho_set=local_rhoz_set_admm, &
    2151           14 :                                      do_rho0=.FALSE., kind_set_external=kind_set)
    2152           14 :                rho0_atom_set => admm_env%admm_gapw_env%local_rho_set%rho_atom_set
    2153           14 :                rho1_atom_set => local_rhoz_set_admm%rho_atom_set
    2154           14 :                do_onecenter = .TRUE.
    2155              :             END IF
    2156              : 
    2157          144 :             ALLOCATE (rho1)
    2158          144 :             CALL qs_rho_create(rho1)
    2159          144 :             IF (ASSOCIATED(rhoz_tau_r_aux)) THEN
    2160              :                CALL qs_rho_set(rho1, rho_r=rhoz_r_aux, rho_g=rhoz_g_aux, tau_r=rhoz_tau_r_aux, &
    2161            0 :                                rho_r_valid=.TRUE., rho_g_valid=.TRUE., tau_r_valid=.TRUE.)
    2162              :             ELSE
    2163              :                CALL qs_rho_set(rho1, rho_r=rhoz_r_aux, rho_g=rhoz_g_aux, &
    2164          144 :                                rho_r_valid=.TRUE., rho_g_valid=.TRUE.)
    2165              :             END IF
    2166              :             CALL qs_fxc_create(qs_env, rho_aux_fit, rho1, rho0_atom_set, xc_section, do_onecenter, &
    2167              :                                v_xc, v_xc_tau, rho1_atom_set, &
    2168              :                                kind_set_external=kind_set, &
    2169          144 :                                compute_virial=use_virial, virial_xc=virial%pv_xc)
    2170              : 
    2171              :             ! Stress-tensor ADMM-kernel GGA contribution
    2172          144 :             IF (use_virial) THEN
    2173          260 :                virial%pv_exc = virial%pv_exc + virial%pv_xc
    2174          260 :                virial%pv_virial = virial%pv_virial + virial%pv_xc
    2175              :             END IF
    2176              : 
    2177          144 :             IF (debug_stress .AND. use_virial) THEN
    2178            0 :                stdeb = 1.0_dp*fconv*virial%pv_xc
    2179            0 :                CALL para_env%sum(stdeb)
    2180            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2181            0 :                   'STRESS| GGA 2nd Pin_admm*dK*rhoz_admm', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2182              :             END IF
    2183              :             !
    2184          144 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2185              :             ! Stress-tensor Pin*dK*rhoz_admm
    2186          144 :             IF (use_virial) THEN
    2187          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2188              :             END IF
    2189          180 :             IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2190          144 :             IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2191          296 :             DO ispin = 1, nspins
    2192          152 :                CALL dbcsr_set(mhy(ispin, 1)%matrix, 0.0_dp)
    2193          152 :                CALL pw_scale(v_xc(ispin), v_xc(ispin)%pw_grid%dvol)
    2194              :                CALL integrate_v_rspace(qs_env=qs_env, v_rspace=v_xc(ispin), &
    2195              :                                        hmat=mhy(ispin, 1), pmat=matrix_p(ispin, 1), &
    2196              :                                        calculate_forces=.TRUE., &
    2197          296 :                                        basis_type=basis_type, task_list_external=task_list)
    2198              :             END DO
    2199          144 :             IF (ASSOCIATED(v_xc_tau)) THEN
    2200            0 :                DO ispin = 1, nspins
    2201            0 :                   CALL pw_scale(v_xc_tau(ispin), v_xc_tau(ispin)%pw_grid%dvol)
    2202              :                   CALL integrate_v_rspace(qs_env=qs_env, v_rspace=v_xc_tau(ispin), &
    2203              :                                           hmat=mhy(ispin, 1), pmat=matrix_p(ispin, 1), &
    2204              :                                           calculate_forces=.TRUE., compute_tau=.TRUE., &
    2205            0 :                                           basis_type=basis_type, task_list_external=task_list)
    2206              :                END DO
    2207              :             END IF
    2208          144 :             IF (debug_forces) THEN
    2209           48 :                fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2210           12 :                CALL para_env%sum(fodeb)
    2211           12 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dK*rhoz_admm ", fodeb
    2212              :             END IF
    2213          144 :             IF (debug_stress .AND. use_virial) THEN
    2214            0 :                stdeb = fconv*(virial%pv_virial - pv_loc)
    2215            0 :                CALL para_env%sum(stdeb)
    2216            0 :                IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2217            0 :                   'STRESS| INT 2nd Pin*dK*rhoz_admm   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2218              :             END IF
    2219              :             ! Stress-tensor Pin*dK*rhoz_admm
    2220          144 :             IF (use_virial) THEN
    2221          260 :                virial%pv_ehartree = virial%pv_ehartree + (virial%pv_virial - pv_loc)
    2222              :             END IF
    2223              :             ! GAPW ADMM XC correction integrate weight contribution to force
    2224          144 :             IF (admm_env%do_gapw) THEN
    2225           50 :                IF (debug_forces) fodeb(1:3) = force(1)%rho_elec(1:3, 1)
    2226           14 :                IF (debug_stress .AND. use_virial) stdeb = virial%pv_virial
    2227              :                !
    2228           14 :                CALL accint_weight_force(qs_env, rho_aux_fit, rho1, 1, xc_section)
    2229              :                !
    2230           14 :                IF (debug_forces) THEN
    2231           48 :                   fodeb(1:3) = force(1)%rho_elec(1:3, 1) - fodeb(1:3)
    2232           12 :                   CALL para_env%sum(fodeb)
    2233           12 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: dKxc*rhoz_admm*dw ", fodeb
    2234              :                END IF
    2235           14 :                IF (debug_stress .AND. use_virial) THEN
    2236            0 :                   stdeb = fconv*(virial%pv_virial - stdeb)
    2237            0 :                   CALL para_env%sum(stdeb)
    2238            0 :                   IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2239            0 :                      'STRESS| dKxc*rhoz_admm*dw', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2240              :                END IF
    2241              :             END IF
    2242              :             ! return ADMM response densities and potentials
    2243          296 :             DO ispin = 1, nspins
    2244          152 :                CALL auxbas_pw_pool%give_back_pw(v_xc(ispin))
    2245          152 :                IF (ASSOCIATED(v_xc_tau)) CALL auxbas_pw_pool%give_back_pw(v_xc_tau(ispin))
    2246          152 :                CALL auxbas_pw_pool%give_back_pw(rhoz_r_aux(ispin))
    2247          152 :                CALL auxbas_pw_pool%give_back_pw(rhoz_g_aux(ispin))
    2248          296 :                IF (ASSOCIATED(rhoz_tau_r_aux)) CALL auxbas_pw_pool%give_back_pw(rhoz_tau_r_aux(ispin))
    2249              :             END DO
    2250          144 :             DEALLOCATE (v_xc, rhoz_r_aux, rhoz_g_aux)
    2251          144 :             IF (ASSOCIATED(v_xc_tau)) DEALLOCATE (v_xc_tau)
    2252          144 :             IF (ASSOCIATED(rhoz_tau_r_aux)) DEALLOCATE (rhoz_tau_r_aux)
    2253          144 :             DEALLOCATE (rho1)
    2254              :             !
    2255          144 :             IF (admm_env%do_gapw) THEN
    2256           50 :                IF (debug_forces) fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1)
    2257              :                CALL update_ks_atom(qs_env, mhy(:, 1), matrix_p(:, 1), forces=.TRUE., tddft=.FALSE., &
    2258              :                                    rho_atom_external=local_rhoz_set_admm%rho_atom_set, &
    2259              :                                    kind_set_external=admm_env%admm_gapw_env%admm_kind_set, &
    2260              :                                    oce_external=admm_env%admm_gapw_env%oce, &
    2261           14 :                                    sab_external=sab_aux_fit)
    2262           14 :                IF (debug_forces) THEN
    2263           48 :                   fodeb(1:3) = force(1)%Vhxc_atom(1:3, 1) - fodeb(1:3)
    2264           12 :                   CALL para_env%sum(fodeb)
    2265           12 :                   IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pin*dK*rhoz_admm[PAW] ", fodeb
    2266              :                END IF
    2267           14 :                CALL local_rho_set_release(local_rhoz_set_admm)
    2268              :             END IF
    2269              :             !
    2270          144 :             nao = admm_env%nao_orb
    2271          144 :             nao_aux = admm_env%nao_aux_fit
    2272          144 :             ALLOCATE (dbwork)
    2273          144 :             CALL dbcsr_create(dbwork, template=matrix_hz(1)%matrix)
    2274          296 :             DO ispin = 1, nspins
    2275              :                CALL cp_dbcsr_sm_fm_multiply(mhy(ispin, 1)%matrix, admm_env%A, &
    2276          152 :                                             admm_env%work_aux_orb, nao)
    2277              :                CALL parallel_gemm('T', 'N', nao, nao, nao_aux, &
    2278              :                                   1.0_dp, admm_env%A, admm_env%work_aux_orb, 0.0_dp, &
    2279          152 :                                   admm_env%work_orb_orb)
    2280          152 :                CALL dbcsr_copy(dbwork, matrix_hz(ispin)%matrix)
    2281          152 :                CALL dbcsr_set(dbwork, 0.0_dp)
    2282          152 :                CALL copy_fm_to_dbcsr(admm_env%work_orb_orb, dbwork, keep_sparsity=.TRUE.)
    2283          296 :                CALL dbcsr_add(matrix_hz(ispin)%matrix, dbwork, 1.0_dp, 1.0_dp)
    2284              :             END DO
    2285          144 :             CALL dbcsr_release(dbwork)
    2286          144 :             DEALLOCATE (dbwork)
    2287          288 :             CALL dbcsr_deallocate_matrix_set(mpz)
    2288              :          END IF ! qs_env%admm_env%aux_exch_func == do_admm_aux_exch_func_none
    2289              :       END IF ! do_admm
    2290              : 
    2291              :       ! -----------------------------------------
    2292              :       !  HFX
    2293              :       ! -----------------------------------------
    2294              : 
    2295              :       ! HFX
    2296         1146 :       hfx_section => section_vals_get_subs_vals(xc_section, "HF")
    2297         1146 :       CALL section_vals_get(hfx_section, explicit=do_hfx)
    2298         1146 :       IF (do_hfx) THEN
    2299          490 :          CALL section_vals_get(hfx_section, n_repetition=n_rep_hf)
    2300          490 :          CPASSERT(n_rep_hf == 1)
    2301              :          CALL section_vals_val_get(hfx_section, "TREAT_LSD_IN_CORE", l_val=hfx_treat_lsd_in_core, &
    2302          490 :                                    i_rep_section=1)
    2303          490 :          mspin = 1
    2304          490 :          IF (hfx_treat_lsd_in_core) mspin = nspins
    2305         1306 :          IF (use_virial) virial%pv_fock_4c = 0.0_dp
    2306              :          !
    2307              :          CALL get_qs_env(qs_env=qs_env, rho=rho, x_data=x_data, &
    2308          490 :                          s_mstruct_changed=s_mstruct_changed)
    2309          490 :          distribute_fock_matrix = .TRUE.
    2310              : 
    2311              :          ! -----------------------------------------
    2312              :          !  HFX-ADMM
    2313              :          ! -----------------------------------------
    2314          490 :          IF (dft_control%do_admm) THEN
    2315          256 :             CALL get_qs_env(qs_env=qs_env, admm_env=admm_env)
    2316          256 :             CALL get_admm_env(admm_env, matrix_s_aux_fit=scrm, rho_aux_fit=rho_aux_fit)
    2317          256 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2318          256 :             NULLIFY (mpz, mhz, mpd, mhd)
    2319          256 :             CALL dbcsr_allocate_matrix_set(mpz, nspins, 1)
    2320          256 :             CALL dbcsr_allocate_matrix_set(mhz, nspins, 1)
    2321          256 :             CALL dbcsr_allocate_matrix_set(mpd, nspins, 1)
    2322          256 :             CALL dbcsr_allocate_matrix_set(mhd, nspins, 1)
    2323          532 :             DO ispin = 1, nspins
    2324          276 :                ALLOCATE (mhz(ispin, 1)%matrix, mhd(ispin, 1)%matrix)
    2325          276 :                CALL dbcsr_create(mhz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2326          276 :                CALL dbcsr_create(mhd(ispin, 1)%matrix, template=scrm(1)%matrix)
    2327          276 :                CALL dbcsr_copy(mhz(ispin, 1)%matrix, scrm(1)%matrix)
    2328          276 :                CALL dbcsr_copy(mhd(ispin, 1)%matrix, scrm(1)%matrix)
    2329          276 :                CALL dbcsr_set(mhz(ispin, 1)%matrix, 0.0_dp)
    2330          276 :                CALL dbcsr_set(mhd(ispin, 1)%matrix, 0.0_dp)
    2331          276 :                ALLOCATE (mpz(ispin, 1)%matrix)
    2332          276 :                IF (do_ex) THEN
    2333          162 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2334          162 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, p_env%p1_admm(ispin)%matrix)
    2335              :                   CALL dbcsr_add(mpz(ispin, 1)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2336          162 :                                  1.0_dp, 1.0_dp)
    2337              :                ELSE
    2338          114 :                   CALL dbcsr_create(mpz(ispin, 1)%matrix, template=scrm(1)%matrix)
    2339          114 :                   CALL dbcsr_copy(mpz(ispin, 1)%matrix, matrix_pz_admm(ispin)%matrix)
    2340              :                END IF
    2341          532 :                mpd(ispin, 1)%matrix => matrix_p(ispin, 1)%matrix
    2342              :             END DO
    2343              :             !
    2344          256 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2345              : 
    2346              :                eh1 = 0.0_dp
    2347              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhz, eh1, rho_ao=mpz, &
    2348              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2349            6 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2350              : 
    2351              :                eh1 = 0.0_dp
    2352              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhd, eh1, rho_ao=mpd, &
    2353              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2354            6 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2355              : 
    2356              :             ELSE
    2357          500 :                DO ispin = 1, mspin
    2358              :                   eh1 = 0.0
    2359              :                   CALL integrate_four_center(qs_env, x_data, mhz, eh1, mpz, hfx_section, &
    2360              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2361          500 :                                              ispin=ispin)
    2362              :                END DO
    2363          500 :                DO ispin = 1, mspin
    2364              :                   eh1 = 0.0
    2365              :                   CALL integrate_four_center(qs_env, x_data, mhd, eh1, mpd, hfx_section, &
    2366              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2367          500 :                                              ispin=ispin)
    2368              :                END DO
    2369              :             END IF
    2370              :             !
    2371          256 :             CALL get_qs_env(qs_env, admm_env=admm_env)
    2372          256 :             CPASSERT(ASSOCIATED(admm_env%work_aux_orb))
    2373          256 :             CPASSERT(ASSOCIATED(admm_env%work_orb_orb))
    2374          256 :             nao = admm_env%nao_orb
    2375          256 :             nao_aux = admm_env%nao_aux_fit
    2376          256 :             ALLOCATE (dbwork)
    2377          256 :             CALL dbcsr_create(dbwork, template=matrix_hz(1)%matrix)
    2378          532 :             DO ispin = 1, nspins
    2379              :                CALL cp_dbcsr_sm_fm_multiply(mhz(ispin, 1)%matrix, admm_env%A, &
    2380          276 :                                             admm_env%work_aux_orb, nao)
    2381              :                CALL parallel_gemm('T', 'N', nao, nao, nao_aux, &
    2382              :                                   1.0_dp, admm_env%A, admm_env%work_aux_orb, 0.0_dp, &
    2383          276 :                                   admm_env%work_orb_orb)
    2384          276 :                CALL dbcsr_copy(dbwork, matrix_hz(ispin)%matrix)
    2385          276 :                CALL dbcsr_set(dbwork, 0.0_dp)
    2386          276 :                CALL copy_fm_to_dbcsr(admm_env%work_orb_orb, dbwork, keep_sparsity=.TRUE.)
    2387          532 :                CALL dbcsr_add(matrix_hz(ispin)%matrix, dbwork, 1.0_dp, 1.0_dp)
    2388              :             END DO
    2389          256 :             CALL dbcsr_release(dbwork)
    2390          256 :             DEALLOCATE (dbwork)
    2391              :             ! derivatives Tr (Pz [A(T)H dA/dR])
    2392          328 :             IF (debug_forces) fodeb(1:3) = force(1)%overlap_admm(1:3, 1)
    2393          256 :             IF (ASSOCIATED(mhx) .AND. ASSOCIATED(mhy)) THEN
    2394          296 :                DO ispin = 1, nspins
    2395          152 :                   CALL dbcsr_add(mhd(ispin, 1)%matrix, mhx(ispin, 1)%matrix, 1.0_dp, 1.0_dp)
    2396          296 :                   CALL dbcsr_add(mhz(ispin, 1)%matrix, mhy(ispin, 1)%matrix, 1.0_dp, 1.0_dp)
    2397              :                END DO
    2398              :             END IF
    2399          256 :             CALL qs_rho_get(rho, rho_ao=matrix_pd)
    2400          256 :             CALL admm_projection_derivative(qs_env, mhd(:, 1), mpa)
    2401          256 :             CALL admm_projection_derivative(qs_env, mhz(:, 1), matrix_pd)
    2402          256 :             IF (debug_forces) THEN
    2403           96 :                fodeb(1:3) = force(1)%overlap_admm(1:3, 1) - fodeb(1:3)
    2404           24 :                CALL para_env%sum(fodeb)
    2405           24 :                IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*hfx*S' ", fodeb
    2406              :             END IF
    2407          256 :             CALL dbcsr_deallocate_matrix_set(mpz)
    2408          256 :             CALL dbcsr_deallocate_matrix_set(mhz)
    2409          256 :             CALL dbcsr_deallocate_matrix_set(mhd)
    2410          256 :             IF (ASSOCIATED(mhx) .AND. ASSOCIATED(mhy)) THEN
    2411          144 :                CALL dbcsr_deallocate_matrix_set(mhx)
    2412          144 :                CALL dbcsr_deallocate_matrix_set(mhy)
    2413              :             END IF
    2414          256 :             DEALLOCATE (mpd)
    2415              :          ELSE
    2416              :             ! -----------------------------------------
    2417              :             !  conventional HFX
    2418              :             ! -----------------------------------------
    2419         2154 :             ALLOCATE (mpz(nspins, 1), mhz(nspins, 1))
    2420          492 :             DO ispin = 1, nspins
    2421          258 :                mhz(ispin, 1)%matrix => matrix_hz(ispin)%matrix
    2422          492 :                mpz(ispin, 1)%matrix => mpa(ispin)%matrix
    2423              :             END DO
    2424              : 
    2425          234 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2426              : 
    2427              :                eh1 = 0.0_dp
    2428              :                CALL hfx_ri_update_ks(qs_env, x_data(1, 1)%ri_data, mhz, eh1, rho_ao=mpz, &
    2429              :                                      geometry_did_change=s_mstruct_changed, nspins=nspins, &
    2430           18 :                                      hf_fraction=x_data(1, 1)%general_parameter%fraction)
    2431              :             ELSE
    2432          432 :                DO ispin = 1, mspin
    2433              :                   eh1 = 0.0
    2434              :                   CALL integrate_four_center(qs_env, x_data, mhz, eh1, mpz, hfx_section, &
    2435              :                                              para_env, s_mstruct_changed, 1, distribute_fock_matrix, &
    2436          432 :                                              ispin=ispin)
    2437              :                END DO
    2438              :             END IF
    2439          234 :             DEALLOCATE (mhz, mpz)
    2440              :          END IF
    2441              : 
    2442              :          ! -----------------------------------------
    2443              :          !  HFX FORCES
    2444              :          ! -----------------------------------------
    2445              : 
    2446          490 :          resp_only = .TRUE.
    2447          676 :          IF (debug_forces) fodeb(1:3) = force(1)%fock_4c(1:3, 1)
    2448          490 :          IF (dft_control%do_admm) THEN
    2449              :             ! -----------------------------------------
    2450              :             !  HFX-ADMM FORCES
    2451              :             ! -----------------------------------------
    2452          256 :             CALL qs_rho_get(rho_aux_fit, rho_ao_kp=matrix_p)
    2453          256 :             NULLIFY (matrix_pza)
    2454          256 :             CALL dbcsr_allocate_matrix_set(matrix_pza, nspins)
    2455          532 :             DO ispin = 1, nspins
    2456          276 :                ALLOCATE (matrix_pza(ispin)%matrix)
    2457          532 :                IF (do_ex) THEN
    2458          162 :                   CALL dbcsr_create(matrix_pza(ispin)%matrix, template=p_env%p1_admm(ispin)%matrix)
    2459          162 :                   CALL dbcsr_copy(matrix_pza(ispin)%matrix, p_env%p1_admm(ispin)%matrix)
    2460              :                   CALL dbcsr_add(matrix_pza(ispin)%matrix, ex_env%matrix_pe_admm(ispin)%matrix, &
    2461          162 :                                  1.0_dp, 1.0_dp)
    2462              :                ELSE
    2463          114 :                   CALL dbcsr_create(matrix_pza(ispin)%matrix, template=matrix_pz_admm(ispin)%matrix)
    2464          114 :                   CALL dbcsr_copy(matrix_pza(ispin)%matrix, matrix_pz_admm(ispin)%matrix)
    2465              :                END IF
    2466              :             END DO
    2467          256 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2468              : 
    2469              :                CALL hfx_ri_update_forces(qs_env, x_data(1, 1)%ri_data, nspins, &
    2470              :                                          x_data(1, 1)%general_parameter%fraction, &
    2471              :                                          rho_ao=matrix_p, rho_ao_resp=matrix_pza, &
    2472            6 :                                          use_virial=use_virial, resp_only=resp_only)
    2473              :             ELSE
    2474              :                CALL derivatives_four_center(qs_env, matrix_p, matrix_pza, hfx_section, para_env, &
    2475          250 :                                             1, use_virial, resp_only=resp_only)
    2476              :             END IF
    2477          256 :             CALL dbcsr_deallocate_matrix_set(matrix_pza)
    2478              :          ELSE
    2479              :             ! -----------------------------------------
    2480              :             !  conventional HFX FORCES
    2481              :             ! -----------------------------------------
    2482          234 :             CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    2483          234 :             IF (x_data(1, 1)%do_hfx_ri) THEN
    2484              : 
    2485              :                CALL hfx_ri_update_forces(qs_env, x_data(1, 1)%ri_data, nspins, &
    2486              :                                          x_data(1, 1)%general_parameter%fraction, &
    2487              :                                          rho_ao=matrix_p, rho_ao_resp=mpa, &
    2488           18 :                                          use_virial=use_virial, resp_only=resp_only)
    2489              :             ELSE
    2490              :                CALL derivatives_four_center(qs_env, matrix_p, mpa, hfx_section, para_env, &
    2491          216 :                                             1, use_virial, resp_only=resp_only)
    2492              :             END IF
    2493              :          END IF ! do_admm
    2494              : 
    2495          490 :          IF (use_virial) THEN
    2496          884 :             virial%pv_exx = virial%pv_exx - virial%pv_fock_4c
    2497          884 :             virial%pv_virial = virial%pv_virial - virial%pv_fock_4c
    2498           68 :             virial%pv_calculate = .FALSE.
    2499              :          END IF
    2500              : 
    2501          490 :          IF (debug_forces) THEN
    2502          248 :             fodeb(1:3) = force(1)%fock_4c(1:3, 1) - fodeb(1:3)
    2503           62 :             CALL para_env%sum(fodeb)
    2504           62 :             IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*hfx ", fodeb
    2505              :          END IF
    2506          490 :          IF (debug_stress .AND. use_virial) THEN
    2507            0 :             stdeb = -1.0_dp*fconv*virial%pv_fock_4c
    2508            0 :             CALL para_env%sum(stdeb)
    2509            0 :             IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2510            0 :                'STRESS| Pz*hfx  ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2511              :          END IF
    2512              :       END IF ! do_hfx
    2513              : 
    2514              :       ! Stress-tensor volume contributions
    2515              :       ! These need to be applied at the end of qs_force
    2516         1146 :       IF (use_virial) THEN
    2517              :          ! Adding mixed Hartree energy twice, due to symmetry
    2518          172 :          zehartree = zehartree + 2.0_dp*ehartree
    2519          172 :          zexc = zexc + exc
    2520              :          ! ADMM contribution handled differently in qs_force
    2521          172 :          IF (dft_control%do_admm) THEN
    2522           38 :             zexc_aux_fit = zexc_aux_fit + exc_aux_fit
    2523              :          END IF
    2524              :       END IF
    2525              : 
    2526              :       ! Overlap matrix
    2527              :       ! H(drho+dz) + Wz
    2528              :       ! If ground-state density matrix solved by diagonalization, then use this
    2529         1146 :       IF (dft_control%qs_control%do_ls_scf) THEN
    2530              :          ! Ground-state density has been calculated by LS
    2531           10 :          eps_filter = dft_control%qs_control%eps_filter_matrix
    2532           10 :          CALL calculate_whz_ao_matrix(qs_env, matrix_hz, matrix_wz, eps_filter)
    2533              :       ELSE
    2534         1136 :          IF (do_ex) THEN
    2535          642 :             matrix_wz => p_env%w1
    2536              :          END IF
    2537         1136 :          focc = 1.0_dp
    2538         1136 :          IF (nspins == 1) focc = 2.0_dp
    2539         1136 :          CALL get_qs_env(qs_env, mos=mos)
    2540         2382 :          DO ispin = 1, nspins
    2541         1246 :             CALL get_mo_set(mo_set=mos(ispin), homo=nocc)
    2542              :             CALL calculate_whz_matrix(mos(ispin)%mo_coeff, matrix_hz(ispin)%matrix, &
    2543         2382 :                                       matrix_wz(ispin)%matrix, focc, nocc)
    2544              :          END DO
    2545              :       END IF
    2546         1146 :       IF (nspins == 2) THEN
    2547              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2548          110 :                         alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
    2549              :       END IF
    2550              : 
    2551         1644 :       IF (debug_forces) fodeb(1:3) = force(1)%overlap(1:3, 1)
    2552         1146 :       IF (debug_stress .AND. use_virial) stdeb = virial%pv_overlap
    2553         1146 :       NULLIFY (scrm)
    2554              :       CALL build_overlap_matrix(ks_env, matrix_s=scrm, &
    2555              :                                 matrix_name="OVERLAP MATRIX", &
    2556              :                                 basis_type_a="ORB", basis_type_b="ORB", &
    2557              :                                 sab_nl=sab_orb, calculate_forces=.TRUE., &
    2558         1146 :                                 matrix_p=matrix_wz(1)%matrix)
    2559              : 
    2560         1146 :       IF (SIZE(matrix_wz, 1) == 2) THEN
    2561              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2562          110 :                         alpha_scalar=1.0_dp, beta_scalar=-1.0_dp)
    2563              :       END IF
    2564              : 
    2565         1146 :       IF (debug_forces) THEN
    2566          664 :          fodeb(1:3) = force(1)%overlap(1:3, 1) - fodeb(1:3)
    2567          166 :          CALL para_env%sum(fodeb)
    2568          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Wz*dS ", fodeb
    2569              :       END IF
    2570         1146 :       IF (debug_stress .AND. use_virial) THEN
    2571            0 :          stdeb = fconv*(virial%pv_overlap - stdeb)
    2572            0 :          CALL para_env%sum(stdeb)
    2573            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2574            0 :             'STRESS| WHz   ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2575              :       END IF
    2576         1146 :       CALL dbcsr_deallocate_matrix_set(scrm)
    2577              : 
    2578         1146 :       IF (debug_forces) THEN
    2579          166 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    2580          664 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    2581          166 :          CALL para_env%sum(fodeb)
    2582          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Response Force", fodeb
    2583          664 :          fodeb(1:3) = ftot2(1:3, 1)
    2584          166 :          CALL para_env%sum(fodeb)
    2585          166 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Total Force ", fodeb
    2586          166 :          DEALLOCATE (ftot1, ftot2, ftot3)
    2587              :       END IF
    2588         1146 :       IF (debug_stress .AND. use_virial) THEN
    2589            0 :          stdeb = fconv*(virial%pv_virial - sttot)
    2590            0 :          CALL para_env%sum(stdeb)
    2591            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2592            0 :             'STRESS| Stress Response    ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2593            0 :          stdeb = fconv*(virial%pv_virial)
    2594            0 :          CALL para_env%sum(stdeb)
    2595            0 :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,A,T41,2(1X,ES19.11))") &
    2596            0 :             'STRESS| Total Stress       ', one_third_sum_diag(stdeb), det_3x3(stdeb)
    2597              :          IF (iounit > 0) WRITE (UNIT=iounit, FMT="(T2,3(1X,ES19.11))") &
    2598            0 :             stdeb(1, 1), stdeb(2, 2), stdeb(3, 3)
    2599              :          unitstr = "bar"
    2600              :       END IF
    2601              : 
    2602         1146 :       IF (do_ex) THEN
    2603          642 :          CALL dbcsr_deallocate_matrix_set(mpa)
    2604          642 :          CALL dbcsr_deallocate_matrix_set(matrix_hz)
    2605              :       END IF
    2606              : 
    2607         1146 :       CALL timestop(handle)
    2608              : 
    2609         5730 :    END SUBROUTINE response_force
    2610              : 
    2611              : ! **************************************************************************************************
    2612              : !> \brief ...
    2613              : !> \param qs_env ...
    2614              : !> \param p_env ...
    2615              : !> \param matrix_hz ...
    2616              : !> \param ex_env ...
    2617              : !> \param debug ...
    2618              : ! **************************************************************************************************
    2619           26 :    SUBROUTINE response_force_xtb(qs_env, p_env, matrix_hz, ex_env, debug)
    2620              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2621              :       TYPE(qs_p_env_type)                                :: p_env
    2622              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_hz
    2623              :       TYPE(excited_energy_type), OPTIONAL, POINTER       :: ex_env
    2624              :       LOGICAL, INTENT(IN), OPTIONAL                      :: debug
    2625              : 
    2626              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'response_force_xtb'
    2627              : 
    2628              :       INTEGER                                            :: atom_a, handle, iatom, ikind, iounit, &
    2629              :                                                             is, ispin, na, natom, natorb, nimages, &
    2630              :                                                             nkind, nocc, ns, nsgf, nspins
    2631              :       INTEGER, DIMENSION(25)                             :: lao
    2632              :       INTEGER, DIMENSION(5)                              :: occ
    2633              :       LOGICAL                                            :: debug_forces, do_ex, use_virial
    2634              :       REAL(KIND=dp)                                      :: focc
    2635           26 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: mcharge, mcharge1
    2636           26 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: aocg, aocg1, charges, charges1, ftot1, &
    2637           26 :                                                             ftot2
    2638              :       REAL(KIND=dp), DIMENSION(3)                        :: fodeb
    2639           26 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
    2640              :       TYPE(cp_logger_type), POINTER                      :: logger
    2641           26 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_pz, matrix_wz, mpa, p_matrix, scrm
    2642           26 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_p, matrix_s
    2643              :       TYPE(dbcsr_type), POINTER                          :: s_matrix
    2644              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2645           26 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
    2646              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2647              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    2648           26 :          POINTER                                         :: sab_orb
    2649           26 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    2650           26 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
    2651           26 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    2652              :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    2653              :       TYPE(qs_rho_type), POINTER                         :: rho
    2654              :       TYPE(xtb_atom_type), POINTER                       :: xtb_kind
    2655              : 
    2656           26 :       CALL timeset(routineN, handle)
    2657              : 
    2658           26 :       IF (PRESENT(debug)) THEN
    2659           26 :          debug_forces = debug
    2660              :       ELSE
    2661            0 :          debug_forces = .FALSE.
    2662              :       END IF
    2663              : 
    2664           26 :       logger => cp_get_default_logger()
    2665           26 :       IF (logger%para_env%is_source()) THEN
    2666           13 :          iounit = cp_logger_get_default_unit_nr(logger, local=.TRUE.)
    2667              :       ELSE
    2668              :          iounit = -1
    2669              :       END IF
    2670              : 
    2671           26 :       do_ex = .FALSE.
    2672           26 :       IF (PRESENT(ex_env)) do_ex = .TRUE.
    2673              : 
    2674           26 :       NULLIFY (ks_env, sab_orb)
    2675              :       CALL get_qs_env(qs_env=qs_env, ks_env=ks_env, dft_control=dft_control, &
    2676           26 :                       sab_orb=sab_orb)
    2677           26 :       CALL get_qs_env(qs_env=qs_env, para_env=para_env, force=force)
    2678           26 :       nspins = dft_control%nspins
    2679              : 
    2680           26 :       IF (debug_forces) THEN
    2681            0 :          CALL get_qs_env(qs_env, natom=natom, atomic_kind_set=atomic_kind_set)
    2682            0 :          ALLOCATE (ftot1(3, natom))
    2683            0 :          ALLOCATE (ftot2(3, natom))
    2684            0 :          CALL total_qs_force(ftot1, force, atomic_kind_set)
    2685              :       END IF
    2686              : 
    2687           26 :       matrix_pz => p_env%p1
    2688           26 :       NULLIFY (mpa)
    2689           26 :       IF (do_ex) THEN
    2690           26 :          CALL dbcsr_allocate_matrix_set(mpa, nspins)
    2691           62 :          DO ispin = 1, nspins
    2692           36 :             ALLOCATE (mpa(ispin)%matrix)
    2693           36 :             CALL dbcsr_create(mpa(ispin)%matrix, template=matrix_pz(ispin)%matrix)
    2694           36 :             CALL dbcsr_copy(mpa(ispin)%matrix, matrix_pz(ispin)%matrix)
    2695           36 :             CALL dbcsr_add(mpa(ispin)%matrix, ex_env%matrix_pe(ispin)%matrix, 1.0_dp, 1.0_dp)
    2696           62 :             CALL dbcsr_set(matrix_hz(ispin)%matrix, 0.0_dp)
    2697              :          END DO
    2698              :       ELSE
    2699            0 :          mpa => p_env%p1
    2700              :       END IF
    2701              :       !
    2702              :       ! START OF Tr(P+Z)Hcore
    2703              :       !
    2704           26 :       IF (nspins == 2) THEN
    2705           10 :          CALL dbcsr_add(mpa(1)%matrix, mpa(2)%matrix, 1.0_dp, 1.0_dp)
    2706              :       END IF
    2707              :       ! Hcore  matrix
    2708           26 :       IF (debug_forces) fodeb(1:3) = force(1)%all_potential(1:3, 1)
    2709           26 :       CALL build_xtb_hab_force(qs_env, mpa(1)%matrix)
    2710           26 :       IF (debug_forces) THEN
    2711            0 :          fodeb(1:3) = force(1)%all_potential(1:3, 1) - fodeb(1:3)
    2712            0 :          CALL para_env%sum(fodeb)
    2713            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Pz*dHcore  ", fodeb
    2714              :       END IF
    2715           26 :       IF (nspins == 2) THEN
    2716           10 :          CALL dbcsr_add(mpa(1)%matrix, mpa(2)%matrix, 1.0_dp, -1.0_dp)
    2717              :       END IF
    2718              :       !
    2719              :       ! END OF Tr(P+Z)Hcore
    2720              :       !
    2721           26 :       use_virial = .FALSE.
    2722           26 :       nimages = 1
    2723              :       !
    2724              :       ! Hartree potential of response density
    2725              :       !
    2726           26 :       IF (dft_control%qs_control%xtb_control%coulomb_interaction) THEN
    2727              :          ! Mulliken charges
    2728           24 :          CALL get_qs_env(qs_env, rho=rho, particle_set=particle_set, matrix_s_kp=matrix_s)
    2729           24 :          natom = SIZE(particle_set)
    2730           24 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
    2731          120 :          ALLOCATE (mcharge(natom), charges(natom, 5))
    2732           72 :          ALLOCATE (mcharge1(natom), charges1(natom, 5))
    2733           24 :          charges = 0.0_dp
    2734           24 :          charges1 = 0.0_dp
    2735           24 :          CALL get_qs_env(qs_env, atomic_kind_set=atomic_kind_set, qs_kind_set=qs_kind_set)
    2736           24 :          nkind = SIZE(atomic_kind_set)
    2737           24 :          CALL get_qs_kind_set(qs_kind_set, maxsgf=nsgf)
    2738           96 :          ALLOCATE (aocg(nsgf, natom))
    2739           24 :          aocg = 0.0_dp
    2740           72 :          ALLOCATE (aocg1(nsgf, natom))
    2741           24 :          aocg1 = 0.0_dp
    2742           24 :          p_matrix => matrix_p(:, 1)
    2743           24 :          s_matrix => matrix_s(1, 1)%matrix
    2744           24 :          CALL ao_charges(p_matrix, s_matrix, aocg, para_env)
    2745           24 :          CALL ao_charges(mpa, s_matrix, aocg1, para_env)
    2746           78 :          DO ikind = 1, nkind
    2747           54 :             CALL get_atomic_kind(atomic_kind_set(ikind), natom=na)
    2748           54 :             CALL get_qs_kind(qs_kind_set(ikind), xtb_parameter=xtb_kind)
    2749           54 :             CALL get_xtb_atom_param(xtb_kind, natorb=natorb, lao=lao, occupation=occ)
    2750          396 :             DO iatom = 1, na
    2751          264 :                atom_a = atomic_kind_set(ikind)%atom_list(iatom)
    2752         1584 :                charges(atom_a, :) = REAL(occ(:), KIND=dp)
    2753         1030 :                DO is = 1, natorb
    2754          712 :                   ns = lao(is) + 1
    2755          712 :                   charges(atom_a, ns) = charges(atom_a, ns) - aocg(is, atom_a)
    2756          976 :                   charges1(atom_a, ns) = charges1(atom_a, ns) - aocg1(is, atom_a)
    2757              :                END DO
    2758              :             END DO
    2759              :          END DO
    2760           24 :          DEALLOCATE (aocg, aocg1)
    2761          288 :          DO iatom = 1, natom
    2762         1584 :             mcharge(iatom) = SUM(charges(iatom, :))
    2763         1608 :             mcharge1(iatom) = SUM(charges1(iatom, :))
    2764              :          END DO
    2765              :          ! Coulomb Kernel
    2766           24 :          CALL xtb_coulomb_hessian(qs_env, matrix_hz, charges1, mcharge1, mcharge, mpa)
    2767              :          CALL calc_xtb_ehess_force(qs_env, p_matrix, mpa, charges, mcharge, charges1, &
    2768           24 :                                    mcharge1, debug_forces)
    2769              :          !
    2770           48 :          DEALLOCATE (charges, mcharge, charges1, mcharge1)
    2771              :       END IF
    2772              :       ! Overlap matrix
    2773              :       ! H(drho+dz) + Wz
    2774           26 :       matrix_wz => p_env%w1
    2775           26 :       focc = 0.5_dp
    2776           26 :       IF (nspins == 1) focc = 1.0_dp
    2777           26 :       CALL get_qs_env(qs_env, mos=mos)
    2778           62 :       DO ispin = 1, nspins
    2779           36 :          CALL get_mo_set(mo_set=mos(ispin), homo=nocc)
    2780              :          CALL calculate_whz_matrix(mos(ispin)%mo_coeff, matrix_hz(ispin)%matrix, &
    2781           62 :                                    matrix_wz(ispin)%matrix, focc, nocc)
    2782              :       END DO
    2783           26 :       IF (nspins == 2) THEN
    2784              :          CALL dbcsr_add(matrix_wz(1)%matrix, matrix_wz(2)%matrix, &
    2785           10 :                         alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
    2786              :       END IF
    2787           26 :       IF (debug_forces) fodeb(1:3) = force(1)%overlap(1:3, 1)
    2788           26 :       NULLIFY (scrm)
    2789              :       CALL build_overlap_matrix(ks_env, matrix_s=scrm, &
    2790              :                                 matrix_name="OVERLAP MATRIX", &
    2791              :                                 basis_type_a="ORB", basis_type_b="ORB", &
    2792              :                                 sab_nl=sab_orb, calculate_forces=.TRUE., &
    2793           26 :                                 matrix_p=matrix_wz(1)%matrix)
    2794           26 :       IF (debug_forces) THEN
    2795            0 :          fodeb(1:3) = force(1)%overlap(1:3, 1) - fodeb(1:3)
    2796            0 :          CALL para_env%sum(fodeb)
    2797            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T33,3F16.8)") "DEBUG:: Wz*dS ", fodeb
    2798              :       END IF
    2799           26 :       CALL dbcsr_deallocate_matrix_set(scrm)
    2800              : 
    2801           26 :       IF (debug_forces) THEN
    2802            0 :          CALL total_qs_force(ftot2, force, atomic_kind_set)
    2803            0 :          fodeb(1:3) = ftot2(1:3, 1) - ftot1(1:3, 1)
    2804            0 :          CALL para_env%sum(fodeb)
    2805            0 :          IF (iounit > 0) WRITE (iounit, "(T3,A,T30,3F16.8)") "DEBUG:: Response Force", fodeb
    2806            0 :          DEALLOCATE (ftot1, ftot2)
    2807              :       END IF
    2808              : 
    2809           26 :       IF (do_ex) THEN
    2810           26 :          CALL dbcsr_deallocate_matrix_set(mpa)
    2811              :       END IF
    2812              : 
    2813           26 :       CALL timestop(handle)
    2814              : 
    2815           52 :    END SUBROUTINE response_force_xtb
    2816              : 
    2817              : ! **************************************************************************************************
    2818              : !> \brief Win = focc*(P*(H[P_out - P_in] + H[Z] )*P)
    2819              : !>        Langrange multiplier matrix with response and perturbation (Harris) kernel matrices
    2820              : !>
    2821              : !> \param qs_env ...
    2822              : !> \param matrix_hz ...
    2823              : !> \param matrix_whz ...
    2824              : !> \param eps_filter ...
    2825              : !> \param
    2826              : !> \par History
    2827              : !>       2020.2 created [Fabian Belleflamme]
    2828              : !> \author Fabian Belleflamme
    2829              : ! **************************************************************************************************
    2830           10 :    SUBROUTINE calculate_whz_ao_matrix(qs_env, matrix_hz, matrix_whz, eps_filter)
    2831              : 
    2832              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2833              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(IN), &
    2834              :          POINTER                                         :: matrix_hz
    2835              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(INOUT), &
    2836              :          POINTER                                         :: matrix_whz
    2837              :       REAL(KIND=dp), INTENT(IN)                          :: eps_filter
    2838              : 
    2839              :       CHARACTER(len=*), PARAMETER :: routineN = 'calculate_whz_ao_matrix'
    2840              : 
    2841              :       INTEGER                                            :: handle, ispin, nspins
    2842              :       REAL(KIND=dp)                                      :: scaling
    2843           10 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: rho_ao
    2844              :       TYPE(dbcsr_type)                                   :: matrix_tmp
    2845              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2846              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2847              :       TYPE(qs_rho_type), POINTER                         :: rho
    2848              : 
    2849           10 :       CALL timeset(routineN, handle)
    2850              : 
    2851           10 :       CPASSERT(ASSOCIATED(qs_env))
    2852           10 :       CPASSERT(ASSOCIATED(matrix_hz))
    2853           10 :       CPASSERT(ASSOCIATED(matrix_whz))
    2854              : 
    2855              :       CALL get_qs_env(qs_env=qs_env, &
    2856              :                       dft_control=dft_control, &
    2857              :                       rho=rho, &
    2858           10 :                       para_env=para_env)
    2859           10 :       nspins = dft_control%nspins
    2860           10 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
    2861              : 
    2862              :       ! init temp matrix
    2863              :       CALL dbcsr_create(matrix_tmp, template=matrix_hz(1)%matrix, &
    2864           10 :                         matrix_type=dbcsr_type_no_symmetry)
    2865              : 
    2866              :       !Spin factors simplify to
    2867           10 :       scaling = 1.0_dp
    2868           10 :       IF (nspins == 1) scaling = 0.5_dp
    2869              : 
    2870              :       ! Operation in MO-solver :
    2871              :       ! Whz = focc*(CC^T*Hz*CC^T)
    2872              :       ! focc = 2.0_dp Closed-shell
    2873              :       ! focc = 1.0_dp Open-shell
    2874              : 
    2875              :       ! Operation in AO-solver :
    2876              :       ! Whz = (scaling*P)*(focc*Hz)*(scaling*P)
    2877              :       ! focc see above
    2878              :       ! scaling = 0.5_dp Closed-shell (P = 2*CC^T), WHz = (0.5*P)*(2*Hz)*(0.5*P)
    2879              :       ! scaling = 1.0_dp Open-shell, WHz = P*Hz*P
    2880              : 
    2881              :       ! Spin factors from Hz and P simplify to
    2882              :       scaling = 1.0_dp
    2883           10 :       IF (nspins == 1) scaling = 0.5_dp
    2884              : 
    2885           20 :       DO ispin = 1, nspins
    2886              : 
    2887              :          ! tmp = H*CC^T
    2888              :          CALL dbcsr_multiply("N", "N", scaling, matrix_hz(ispin)%matrix, rho_ao(ispin)%matrix, &
    2889           10 :                              0.0_dp, matrix_tmp, filter_eps=eps_filter)
    2890              :          ! WHz = CC^T*tmp
    2891              :          ! WHz = Wz + (scaling*P)*(focc*Hz)*(scaling*P)
    2892              :          ! WHz = Wz + scaling*(P*Hz*P)
    2893              :          CALL dbcsr_multiply("N", "N", 1.0_dp, rho_ao(ispin)%matrix, matrix_tmp, &
    2894              :                              1.0_dp, matrix_whz(ispin)%matrix, filter_eps=eps_filter, &
    2895           20 :                              retain_sparsity=.TRUE.)
    2896              : 
    2897              :       END DO
    2898              : 
    2899           10 :       CALL dbcsr_release(matrix_tmp)
    2900              : 
    2901           10 :       CALL timestop(handle)
    2902              : 
    2903           10 :    END SUBROUTINE calculate_whz_ao_matrix
    2904              : 
    2905              : ! **************************************************************************************************
    2906              : 
    2907              : END MODULE response_solver
        

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