LCOV - code coverage report
Current view: top level - src - qs_ks_utils.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:4dc10b3) Lines: 648 801 80.9 %
Date: 2024-11-21 06:45:46 Functions: 8 9 88.9 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief routines that build the Kohn-Sham matrix (i.e calculate the coulomb
      10             : !>      and xc parts
      11             : !> \par History
      12             : !>      05.2002 moved from qs_scf (see there the history) [fawzi]
      13             : !>      JGH [30.08.02] multi-grid arrays independent from density and potential
      14             : !>      10.2002 introduced pools, uses updated rho as input,
      15             : !>              removed most temporary variables, renamed may vars,
      16             : !>              began conversion to LSD [fawzi]
      17             : !>      10.2004 moved calculate_w_matrix here [Joost VandeVondele]
      18             : !>              introduced energy derivative wrt MOs [Joost VandeVondele]
      19             : !> \author Fawzi Mohamed
      20             : ! **************************************************************************************************
      21             : 
      22             : MODULE qs_ks_utils
      23             :    USE admm_types,                      ONLY: admm_type,&
      24             :                                               get_admm_env
      25             :    USE atomic_kind_types,               ONLY: atomic_kind_type
      26             :    USE cell_types,                      ONLY: cell_type
      27             :    USE cp_control_types,                ONLY: dft_control_type
      28             :    USE cp_dbcsr_api,                    ONLY: &
      29             :         dbcsr_add, dbcsr_copy, dbcsr_deallocate_matrix, dbcsr_dot, dbcsr_get_info, dbcsr_init_p, &
      30             :         dbcsr_multiply, dbcsr_p_type, dbcsr_release_p, dbcsr_scale, dbcsr_scale_by_vector, &
      31             :         dbcsr_set, dbcsr_type
      32             :    USE cp_dbcsr_operations,             ONLY: copy_dbcsr_to_fm,&
      33             :                                               copy_fm_to_dbcsr,&
      34             :                                               cp_dbcsr_plus_fm_fm_t,&
      35             :                                               cp_dbcsr_sm_fm_multiply,&
      36             :                                               dbcsr_allocate_matrix_set,&
      37             :                                               dbcsr_deallocate_matrix_set
      38             :    USE cp_ddapc,                        ONLY: cp_ddapc_apply_CD
      39             :    USE cp_fm_struct,                    ONLY: cp_fm_struct_create,&
      40             :                                               cp_fm_struct_release,&
      41             :                                               cp_fm_struct_type
      42             :    USE cp_fm_types,                     ONLY: cp_fm_create,&
      43             :                                               cp_fm_get_info,&
      44             :                                               cp_fm_release,&
      45             :                                               cp_fm_set_all,&
      46             :                                               cp_fm_to_fm,&
      47             :                                               cp_fm_type
      48             :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      49             :                                               cp_logger_type,&
      50             :                                               cp_to_string
      51             :    USE cp_output_handling,              ONLY: cp_p_file,&
      52             :                                               cp_print_key_finished_output,&
      53             :                                               cp_print_key_should_output,&
      54             :                                               cp_print_key_unit_nr
      55             :    USE hfx_admm_utils,                  ONLY: tddft_hfx_matrix
      56             :    USE hfx_derivatives,                 ONLY: derivatives_four_center
      57             :    USE hfx_types,                       ONLY: hfx_type
      58             :    USE input_constants,                 ONLY: &
      59             :         cdft_alpha_constraint, cdft_beta_constraint, cdft_charge_constraint, &
      60             :         cdft_magnetization_constraint, do_admm_aux_exch_func_none, do_ppl_grid, sic_ad, sic_eo, &
      61             :         sic_list_all, sic_list_unpaired, sic_mauri_spz, sic_mauri_us, sic_none
      62             :    USE input_section_types,             ONLY: section_vals_get_subs_vals,&
      63             :                                               section_vals_type,&
      64             :                                               section_vals_val_get
      65             :    USE kahan_sum,                       ONLY: accurate_dot_product,&
      66             :                                               accurate_sum
      67             :    USE kinds,                           ONLY: default_string_length,&
      68             :                                               dp
      69             :    USE kpoint_types,                    ONLY: get_kpoint_info,&
      70             :                                               kpoint_type
      71             :    USE lri_environment_methods,         ONLY: v_int_ppl_update
      72             :    USE lri_environment_types,           ONLY: lri_density_type,&
      73             :                                               lri_environment_type,&
      74             :                                               lri_kind_type
      75             :    USE lri_forces,                      ONLY: calculate_lri_forces,&
      76             :                                               calculate_ri_forces
      77             :    USE lri_ks_methods,                  ONLY: calculate_lri_ks_matrix,&
      78             :                                               calculate_ri_ks_matrix
      79             :    USE message_passing,                 ONLY: mp_para_env_type
      80             :    USE ps_implicit_types,               ONLY: MIXED_BC,&
      81             :                                               MIXED_PERIODIC_BC,&
      82             :                                               NEUMANN_BC,&
      83             :                                               PERIODIC_BC
      84             :    USE pw_env_types,                    ONLY: pw_env_get,&
      85             :                                               pw_env_type
      86             :    USE pw_methods,                      ONLY: pw_axpy,&
      87             :                                               pw_copy,&
      88             :                                               pw_integral_ab,&
      89             :                                               pw_integrate_function,&
      90             :                                               pw_scale,&
      91             :                                               pw_transfer,&
      92             :                                               pw_zero
      93             :    USE pw_poisson_methods,              ONLY: pw_poisson_solve
      94             :    USE pw_poisson_types,                ONLY: pw_poisson_implicit,&
      95             :                                               pw_poisson_type
      96             :    USE pw_pool_types,                   ONLY: pw_pool_type
      97             :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      98             :                                               pw_r3d_rs_type
      99             :    USE qs_cdft_types,                   ONLY: cdft_control_type
     100             :    USE qs_charges_types,                ONLY: qs_charges_type
     101             :    USE qs_collocate_density,            ONLY: calculate_rho_elec
     102             :    USE qs_energy_types,                 ONLY: qs_energy_type
     103             :    USE qs_environment_types,            ONLY: get_qs_env,&
     104             :                                               qs_environment_type
     105             :    USE qs_force_types,                  ONLY: qs_force_type
     106             :    USE qs_integrate_potential,          ONLY: integrate_v_rspace,&
     107             :                                               integrate_v_rspace_diagonal,&
     108             :                                               integrate_v_rspace_one_center
     109             :    USE qs_kind_types,                   ONLY: get_qs_kind_set,&
     110             :                                               qs_kind_type
     111             :    USE qs_ks_qmmm_methods,              ONLY: qmmm_modify_hartree_pot
     112             :    USE qs_ks_types,                     ONLY: get_ks_env,&
     113             :                                               qs_ks_env_type
     114             :    USE qs_mo_types,                     ONLY: get_mo_set,&
     115             :                                               mo_set_type
     116             :    USE qs_rho_types,                    ONLY: qs_rho_get,&
     117             :                                               qs_rho_type
     118             :    USE task_list_types,                 ONLY: task_list_type
     119             :    USE virial_types,                    ONLY: virial_type
     120             :    USE xc,                              ONLY: xc_exc_calc,&
     121             :                                               xc_vxc_pw_create1
     122             : #include "./base/base_uses.f90"
     123             : 
     124             :    IMPLICIT NONE
     125             : 
     126             :    PRIVATE
     127             : 
     128             :    LOGICAL, PARAMETER :: debug_this_module = .TRUE.
     129             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_ks_utils'
     130             : 
     131             :    PUBLIC :: low_spin_roks, sic_explicit_orbitals, calc_v_sic_rspace, print_densities, &
     132             :              print_detailed_energy, compute_matrix_vxc, sum_up_and_integrate, &
     133             :              calculate_zmp_potential, get_embed_potential_energy
     134             : 
     135             : CONTAINS
     136             : 
     137             : ! **************************************************************************************************
     138             : !> \brief do ROKS calculations yielding low spin states
     139             : !> \param energy ...
     140             : !> \param qs_env ...
     141             : !> \param dft_control ...
     142             : !> \param do_hfx ...
     143             : !> \param just_energy ...
     144             : !> \param calculate_forces ...
     145             : !> \param auxbas_pw_pool ...
     146             : ! **************************************************************************************************
     147       97967 :    SUBROUTINE low_spin_roks(energy, qs_env, dft_control, do_hfx, just_energy, &
     148             :                             calculate_forces, auxbas_pw_pool)
     149             : 
     150             :       TYPE(qs_energy_type), POINTER                      :: energy
     151             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     152             :       TYPE(dft_control_type), POINTER                    :: dft_control
     153             :       LOGICAL, INTENT(IN)                                :: do_hfx, just_energy, calculate_forces
     154             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     155             : 
     156             :       CHARACTER(*), PARAMETER                            :: routineN = 'low_spin_roks'
     157             : 
     158             :       INTEGER                                            :: handle, irep, ispin, iterm, k, k_alpha, &
     159             :                                                             k_beta, n_rep, Nelectron, Nspin, Nterms
     160       97967 :       INTEGER, DIMENSION(:), POINTER                     :: ivec
     161       97967 :       INTEGER, DIMENSION(:, :, :), POINTER               :: occupations
     162             :       LOGICAL                                            :: compute_virial, in_range, &
     163             :                                                             uniform_occupation
     164             :       REAL(KIND=dp)                                      :: ehfx, exc
     165             :       REAL(KIND=dp), DIMENSION(3, 3)                     :: virial_xc_tmp
     166       97967 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: energy_scaling, rvec, scaling
     167             :       TYPE(cell_type), POINTER                           :: cell
     168       97967 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_h, matrix_hfx, matrix_p, mdummy, &
     169       97967 :                                                             mo_derivs, rho_ao
     170       97967 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_p2
     171             :       TYPE(dbcsr_type), POINTER                          :: dbcsr_deriv, fm_deriv, fm_scaled, &
     172             :                                                             mo_coeff
     173       97967 :       TYPE(hfx_type), DIMENSION(:, :), POINTER           :: x_data
     174       97967 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mo_array
     175             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     176       97967 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
     177             :       TYPE(pw_env_type), POINTER                         :: pw_env
     178             :       TYPE(pw_pool_type), POINTER                        :: xc_pw_pool
     179             :       TYPE(pw_r3d_rs_type)                               :: work_v_rspace
     180       97967 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r, tau, vxc, vxc_tau
     181             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     182             :       TYPE(qs_rho_type), POINTER                         :: rho
     183             :       TYPE(section_vals_type), POINTER                   :: hfx_section, input, &
     184             :                                                             low_spin_roks_section, xc_section
     185             :       TYPE(virial_type), POINTER                         :: virial
     186             : 
     187       97649 :       IF (.NOT. dft_control%low_spin_roks) RETURN
     188             : 
     189         318 :       CALL timeset(routineN, handle)
     190             : 
     191         318 :       NULLIFY (ks_env, rho_ao)
     192             : 
     193             :       ! Test for not compatible options
     194         318 :       IF (dft_control%qs_control%gapw .OR. dft_control%qs_control%gapw_xc) THEN
     195           0 :          CALL cp_abort(__LOCATION__, "GAPW/GAPW_XC are not compatible with low spin ROKS method.")
     196             :       END IF
     197         318 :       IF (dft_control%do_admm) THEN
     198           0 :          CALL cp_abort(__LOCATION__, "ADMM not compatible with low spin ROKS method.")
     199             :       END IF
     200         318 :       IF (dft_control%do_admm) THEN
     201           0 :          IF (qs_env%admm_env%aux_exch_func /= do_admm_aux_exch_func_none) THEN
     202             :             CALL cp_abort(__LOCATION__, "ADMM with XC correction functional "// &
     203           0 :                           "not compatible with low spin ROKS method.")
     204             :          END IF
     205             :       END IF
     206         318 :       IF (dft_control%qs_control%semi_empirical .OR. dft_control%qs_control%dftb .OR. &
     207             :           dft_control%qs_control%xtb) THEN
     208           0 :          CALL cp_abort(__LOCATION__, "SE/xTB/DFTB are not compatible with low spin ROKS method.")
     209             :       END IF
     210             : 
     211             :       CALL get_qs_env(qs_env, &
     212             :                       ks_env=ks_env, &
     213             :                       mo_derivs=mo_derivs, &
     214             :                       mos=mo_array, &
     215             :                       rho=rho, &
     216             :                       pw_env=pw_env, &
     217             :                       input=input, &
     218             :                       cell=cell, &
     219         318 :                       virial=virial)
     220             : 
     221         318 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
     222             : 
     223         318 :       compute_virial = virial%pv_calculate .AND. (.NOT. virial%pv_numer)
     224         318 :       xc_section => section_vals_get_subs_vals(input, "DFT%XC")
     225         318 :       hfx_section => section_vals_get_subs_vals(input, "DFT%XC%HF")
     226             : 
     227             :       ! some assumptions need to be checked
     228             :       ! we have two spins
     229         318 :       CPASSERT(SIZE(mo_array, 1) == 2)
     230         318 :       Nspin = 2
     231             :       ! we want uniform occupations
     232         318 :       CALL get_mo_set(mo_set=mo_array(1), uniform_occupation=uniform_occupation)
     233         318 :       CPASSERT(uniform_occupation)
     234         318 :       CALL get_mo_set(mo_set=mo_array(2), mo_coeff_b=mo_coeff, uniform_occupation=uniform_occupation)
     235         318 :       CPASSERT(uniform_occupation)
     236         318 :       IF (do_hfx .AND. calculate_forces .AND. compute_virial) THEN
     237           0 :          CALL cp_abort(__LOCATION__, "ROKS virial with HFX not available.")
     238             :       END IF
     239             : 
     240         318 :       NULLIFY (dbcsr_deriv)
     241         318 :       CALL dbcsr_init_p(dbcsr_deriv)
     242         318 :       CALL dbcsr_copy(dbcsr_deriv, mo_derivs(1)%matrix)
     243         318 :       CALL dbcsr_set(dbcsr_deriv, 0.0_dp)
     244             : 
     245             :       ! basic info
     246         318 :       CALL get_mo_set(mo_set=mo_array(1), mo_coeff_b=mo_coeff)
     247         318 :       CALL dbcsr_get_info(mo_coeff, nfullcols_total=k_alpha)
     248         318 :       CALL get_mo_set(mo_set=mo_array(2), mo_coeff_b=mo_coeff)
     249         318 :       CALL dbcsr_get_info(mo_coeff, nfullcols_total=k_beta)
     250             : 
     251             :       ! read the input
     252         318 :       low_spin_roks_section => section_vals_get_subs_vals(input, "DFT%LOW_SPIN_ROKS")
     253             : 
     254         318 :       CALL section_vals_val_get(low_spin_roks_section, "ENERGY_SCALING", r_vals=rvec)
     255         318 :       Nterms = SIZE(rvec)
     256         954 :       ALLOCATE (energy_scaling(Nterms))
     257        1590 :       energy_scaling = rvec !? just wondering, should this add up to 1, in which case we should cpp?
     258             : 
     259         318 :       CALL section_vals_val_get(low_spin_roks_section, "SPIN_CONFIGURATION", n_rep_val=n_rep)
     260         318 :       CPASSERT(n_rep == Nterms)
     261         318 :       CALL section_vals_val_get(low_spin_roks_section, "SPIN_CONFIGURATION", i_rep_val=1, i_vals=ivec)
     262         318 :       Nelectron = SIZE(ivec)
     263         318 :       CPASSERT(Nelectron == k_alpha - k_beta)
     264        1272 :       ALLOCATE (occupations(2, Nelectron, Nterms))
     265        4770 :       occupations = 0
     266         954 :       DO iterm = 1, Nterms
     267         636 :          CALL section_vals_val_get(low_spin_roks_section, "SPIN_CONFIGURATION", i_rep_val=iterm, i_vals=ivec)
     268         636 :          CPASSERT(Nelectron == SIZE(ivec))
     269        3816 :          in_range = ALL(ivec >= 1) .AND. ALL(ivec <= 2)
     270         636 :          CPASSERT(in_range)
     271        2226 :          DO k = 1, Nelectron
     272        1908 :             occupations(ivec(k), k, iterm) = 1
     273             :          END DO
     274             :       END DO
     275             : 
     276             :       ! set up general data structures
     277             :       ! density matrices, kohn-sham matrices
     278             : 
     279         318 :       NULLIFY (matrix_p)
     280         318 :       CALL dbcsr_allocate_matrix_set(matrix_p, Nspin)
     281         954 :       DO ispin = 1, Nspin
     282         636 :          ALLOCATE (matrix_p(ispin)%matrix)
     283             :          CALL dbcsr_copy(matrix_p(ispin)%matrix, rho_ao(1)%matrix, &
     284         636 :                          name="density matrix low spin roks")
     285         954 :          CALL dbcsr_set(matrix_p(ispin)%matrix, 0.0_dp)
     286             :       END DO
     287             : 
     288         318 :       NULLIFY (matrix_h)
     289         318 :       CALL dbcsr_allocate_matrix_set(matrix_h, Nspin)
     290         954 :       DO ispin = 1, Nspin
     291         636 :          ALLOCATE (matrix_h(ispin)%matrix)
     292             :          CALL dbcsr_copy(matrix_h(ispin)%matrix, rho_ao(1)%matrix, &
     293         636 :                          name="KS matrix low spin roks")
     294         954 :          CALL dbcsr_set(matrix_h(ispin)%matrix, 0.0_dp)
     295             :       END DO
     296             : 
     297         318 :       IF (do_hfx) THEN
     298         184 :          NULLIFY (matrix_hfx)
     299         184 :          CALL dbcsr_allocate_matrix_set(matrix_hfx, Nspin)
     300         552 :          DO ispin = 1, Nspin
     301         368 :             ALLOCATE (matrix_hfx(ispin)%matrix)
     302             :             CALL dbcsr_copy(matrix_hfx(ispin)%matrix, rho_ao(1)%matrix, &
     303         552 :                             name="HFX matrix low spin roks")
     304             :          END DO
     305             :       END IF
     306             : 
     307             :       ! grids in real and g space for rho and vxc
     308             :       ! tau functionals are not supported
     309         318 :       NULLIFY (tau, vxc_tau, vxc)
     310         318 :       CALL pw_env_get(pw_env, xc_pw_pool=xc_pw_pool)
     311             : 
     312         954 :       ALLOCATE (rho_r(Nspin))
     313         954 :       ALLOCATE (rho_g(Nspin))
     314         954 :       DO ispin = 1, Nspin
     315         636 :          CALL auxbas_pw_pool%create_pw(rho_r(ispin))
     316         954 :          CALL auxbas_pw_pool%create_pw(rho_g(ispin))
     317             :       END DO
     318         318 :       CALL auxbas_pw_pool%create_pw(work_v_rspace)
     319             : 
     320             :       ! get mo matrices needed to construct the density matrices
     321             :       ! we will base all on the alpha spin matrix, obviously possible in ROKS
     322         318 :       CALL get_mo_set(mo_set=mo_array(1), mo_coeff_b=mo_coeff)
     323         318 :       NULLIFY (fm_scaled, fm_deriv)
     324         318 :       CALL dbcsr_init_p(fm_scaled)
     325         318 :       CALL dbcsr_init_p(fm_deriv)
     326         318 :       CALL dbcsr_copy(fm_scaled, mo_coeff)
     327         318 :       CALL dbcsr_copy(fm_deriv, mo_coeff)
     328             : 
     329         954 :       ALLOCATE (scaling(k_alpha))
     330             : 
     331             :       ! for each term, add it with the given scaling factor to the energy, and compute the required derivatives
     332         954 :       DO iterm = 1, Nterms
     333             : 
     334        1908 :          DO ispin = 1, Nspin
     335             :             ! compute the proper density matrices with the required occupations
     336        1272 :             CALL dbcsr_set(matrix_p(ispin)%matrix, 0.0_dp)
     337       10176 :             scaling = 1.0_dp
     338        3816 :             scaling(k_alpha - Nelectron + 1:k_alpha) = occupations(ispin, :, iterm)
     339        1272 :             CALL dbcsr_copy(fm_scaled, mo_coeff)
     340        1272 :             CALL dbcsr_scale_by_vector(fm_scaled, scaling, side='right')
     341             :             CALL dbcsr_multiply('n', 't', 1.0_dp, mo_coeff, fm_scaled, &
     342        1272 :                                 0.0_dp, matrix_p(ispin)%matrix, retain_sparsity=.TRUE.)
     343             :             ! compute the densities on the grid
     344             :             CALL calculate_rho_elec(matrix_p=matrix_p(ispin)%matrix, &
     345             :                                     rho=rho_r(ispin), rho_gspace=rho_g(ispin), &
     346        1908 :                                     ks_env=ks_env)
     347             :          END DO
     348             : 
     349             :          ! compute the exchange energies / potential if needed
     350         636 :          IF (just_energy) THEN
     351             :             exc = xc_exc_calc(rho_r=rho_r, rho_g=rho_g, tau=tau, xc_section=xc_section, &
     352          48 :                               pw_pool=xc_pw_pool)
     353             :          ELSE
     354         588 :             CPASSERT(.NOT. compute_virial)
     355             :             CALL xc_vxc_pw_create1(vxc_rho=vxc, rho_r=rho_r, &
     356             :                                    rho_g=rho_g, tau=tau, vxc_tau=vxc_tau, exc=exc, xc_section=xc_section, &
     357         588 :                                    pw_pool=xc_pw_pool, compute_virial=.FALSE., virial_xc=virial_xc_tmp)
     358             :          END IF
     359             : 
     360         636 :          energy%exc = energy%exc + energy_scaling(iterm)*exc
     361             : 
     362         636 :          IF (do_hfx) THEN
     363             :             ! Add Hartree-Fock contribution
     364        1104 :             DO ispin = 1, Nspin
     365        1104 :                CALL dbcsr_set(matrix_hfx(ispin)%matrix, 0.0_dp)
     366             :             END DO
     367         368 :             ehfx = energy%ex
     368             :             CALL tddft_hfx_matrix(matrix_hfx, matrix_p, qs_env, &
     369         368 :                                   recalc_integrals=.FALSE., update_energy=.TRUE.)
     370         368 :             energy%ex = ehfx + energy_scaling(iterm)*energy%ex
     371             :          END IF
     372             : 
     373             :          ! add the corresponding derivatives to the MO derivatives
     374         954 :          IF (.NOT. just_energy) THEN
     375             :             ! get the potential in matrix form
     376        1764 :             DO ispin = 1, Nspin
     377        1176 :                CALL dbcsr_set(matrix_h(ispin)%matrix, 0.0_dp)
     378             :                ! use a work_v_rspace
     379        1176 :                CALL pw_axpy(vxc(ispin), work_v_rspace, energy_scaling(iterm)*vxc(ispin)%pw_grid%dvol, 0.0_dp)
     380             :                CALL integrate_v_rspace(v_rspace=work_v_rspace, pmat=matrix_p(ispin), hmat=matrix_h(ispin), &
     381        1176 :                                        qs_env=qs_env, calculate_forces=calculate_forces)
     382        1764 :                CALL auxbas_pw_pool%give_back_pw(vxc(ispin))
     383             :             END DO
     384         588 :             DEALLOCATE (vxc)
     385             : 
     386         588 :             IF (do_hfx) THEN
     387             :                ! add HFX contribution
     388         984 :                DO ispin = 1, Nspin
     389             :                   CALL dbcsr_add(matrix_h(ispin)%matrix, matrix_hfx(ispin)%matrix, &
     390         984 :                                  1.0_dp, energy_scaling(iterm))
     391             :                END DO
     392         328 :                IF (calculate_forces) THEN
     393           8 :                   CALL get_qs_env(qs_env, x_data=x_data, para_env=para_env)
     394           8 :                   IF (x_data(1, 1)%n_rep_hf /= 1) THEN
     395             :                      CALL cp_abort(__LOCATION__, "Multiple HFX section forces not compatible "// &
     396           0 :                                    "with low spin ROKS method.")
     397             :                   END IF
     398           8 :                   IF (x_data(1, 1)%do_hfx_ri) THEN
     399           0 :                      CALL cp_abort(__LOCATION__, "HFX_RI forces not compatible with low spin ROKS method.")
     400             :                   ELSE
     401           8 :                      irep = 1
     402           8 :                      NULLIFY (mdummy)
     403           8 :                      matrix_p2(1:Nspin, 1:1) => matrix_p(1:Nspin)
     404             :                      CALL derivatives_four_center(qs_env, matrix_p2, mdummy, hfx_section, para_env, &
     405             :                                                   irep, compute_virial, &
     406           8 :                                                   adiabatic_rescale_factor=energy_scaling(iterm))
     407             :                   END IF
     408             :                END IF
     409             : 
     410             :             END IF
     411             : 
     412             :             ! add this to the mo_derivs, again based on the alpha mo_coeff
     413        1764 :             DO ispin = 1, Nspin
     414             :                CALL dbcsr_multiply('n', 'n', 1.0_dp, matrix_h(ispin)%matrix, mo_coeff, &
     415        1176 :                                    0.0_dp, dbcsr_deriv, last_column=k_alpha)
     416             : 
     417        9408 :                scaling = 1.0_dp
     418        3528 :                scaling(k_alpha - Nelectron + 1:k_alpha) = occupations(ispin, :, iterm)
     419        1176 :                CALL dbcsr_scale_by_vector(dbcsr_deriv, scaling, side='right')
     420        1764 :                CALL dbcsr_add(mo_derivs(1)%matrix, dbcsr_deriv, 1.0_dp, 1.0_dp)
     421             :             END DO
     422             : 
     423             :          END IF
     424             : 
     425             :       END DO
     426             : 
     427             :       ! release allocated memory
     428         954 :       DO ispin = 1, Nspin
     429         636 :          CALL auxbas_pw_pool%give_back_pw(rho_r(ispin))
     430         954 :          CALL auxbas_pw_pool%give_back_pw(rho_g(ispin))
     431             :       END DO
     432         318 :       DEALLOCATE (rho_r, rho_g)
     433         318 :       CALL dbcsr_deallocate_matrix_set(matrix_p)
     434         318 :       CALL dbcsr_deallocate_matrix_set(matrix_h)
     435         318 :       IF (do_hfx) THEN
     436         184 :          CALL dbcsr_deallocate_matrix_set(matrix_hfx)
     437             :       END IF
     438             : 
     439         318 :       CALL auxbas_pw_pool%give_back_pw(work_v_rspace)
     440             : 
     441         318 :       CALL dbcsr_release_p(fm_deriv)
     442         318 :       CALL dbcsr_release_p(fm_scaled)
     443             : 
     444         318 :       DEALLOCATE (occupations)
     445         318 :       DEALLOCATE (energy_scaling)
     446         318 :       DEALLOCATE (scaling)
     447             : 
     448         318 :       CALL dbcsr_release_p(dbcsr_deriv)
     449             : 
     450         318 :       CALL timestop(handle)
     451             : 
     452       99557 :    END SUBROUTINE low_spin_roks
     453             : ! **************************************************************************************************
     454             : !> \brief do sic calculations on explicit orbitals
     455             : !> \param energy ...
     456             : !> \param qs_env ...
     457             : !> \param dft_control ...
     458             : !> \param poisson_env ...
     459             : !> \param just_energy ...
     460             : !> \param calculate_forces ...
     461             : !> \param auxbas_pw_pool ...
     462             : ! **************************************************************************************************
     463       97967 :    SUBROUTINE sic_explicit_orbitals(energy, qs_env, dft_control, poisson_env, just_energy, &
     464             :                                     calculate_forces, auxbas_pw_pool)
     465             : 
     466             :       TYPE(qs_energy_type), POINTER                      :: energy
     467             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     468             :       TYPE(dft_control_type), POINTER                    :: dft_control
     469             :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     470             :       LOGICAL, INTENT(IN)                                :: just_energy, calculate_forces
     471             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     472             : 
     473             :       CHARACTER(*), PARAMETER :: routineN = 'sic_explicit_orbitals'
     474             : 
     475             :       INTEGER                                            :: handle, i, Iorb, k_alpha, k_beta, Norb
     476       97967 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: sic_orbital_list
     477             :       LOGICAL                                            :: compute_virial, uniform_occupation
     478             :       REAL(KIND=dp)                                      :: ener, exc
     479             :       REAL(KIND=dp), DIMENSION(3, 3)                     :: virial_xc_tmp
     480             :       TYPE(cell_type), POINTER                           :: cell
     481             :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct_tmp
     482             :       TYPE(cp_fm_type)                                   :: matrix_hv, matrix_v
     483       97967 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: mo_derivs_local
     484             :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     485             :       TYPE(dbcsr_p_type)                                 :: orb_density_matrix_p, orb_h_p
     486       97967 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: mo_derivs, rho_ao, tmp_dbcsr
     487             :       TYPE(dbcsr_type), POINTER                          :: orb_density_matrix, orb_h
     488       97967 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mo_array
     489             :       TYPE(pw_c1d_gs_type)                               :: work_v_gspace
     490       97967 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
     491             :       TYPE(pw_c1d_gs_type), TARGET                       :: orb_rho_g, tmp_g
     492             :       TYPE(pw_env_type), POINTER                         :: pw_env
     493             :       TYPE(pw_pool_type), POINTER                        :: xc_pw_pool
     494             :       TYPE(pw_r3d_rs_type)                               :: work_v_rspace
     495       97967 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r, tau, vxc, vxc_tau
     496             :       TYPE(pw_r3d_rs_type), TARGET                       :: orb_rho_r, tmp_r
     497             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     498             :       TYPE(qs_rho_type), POINTER                         :: rho
     499             :       TYPE(section_vals_type), POINTER                   :: input, xc_section
     500             :       TYPE(virial_type), POINTER                         :: virial
     501             : 
     502       97967 :       IF (dft_control%sic_method_id .NE. sic_eo) RETURN
     503             : 
     504          24 :       CALL timeset(routineN, handle)
     505             : 
     506          24 :       NULLIFY (tau, vxc_tau, mo_derivs, ks_env, rho_ao)
     507             : 
     508             :       ! generate the lists of orbitals that need sic treatment
     509             :       CALL get_qs_env(qs_env, &
     510             :                       ks_env=ks_env, &
     511             :                       mo_derivs=mo_derivs, &
     512             :                       mos=mo_array, &
     513             :                       rho=rho, &
     514             :                       pw_env=pw_env, &
     515             :                       input=input, &
     516             :                       cell=cell, &
     517          24 :                       virial=virial)
     518             : 
     519          24 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
     520             : 
     521          24 :       compute_virial = virial%pv_calculate .AND. (.NOT. virial%pv_numer)
     522          24 :       xc_section => section_vals_get_subs_vals(input, "DFT%XC")
     523             : 
     524          72 :       DO i = 1, SIZE(mo_array) !fm->dbcsr
     525          72 :          IF (mo_array(i)%use_mo_coeff_b) THEN !fm->dbcsr
     526             :             CALL copy_dbcsr_to_fm(mo_array(i)%mo_coeff_b, &
     527          48 :                                   mo_array(i)%mo_coeff) !fm->dbcsr
     528             :          END IF !fm->dbcsr
     529             :       END DO !fm->dbcsr
     530             : 
     531          24 :       CALL pw_env_get(pw_env, xc_pw_pool=xc_pw_pool)
     532             : 
     533             :       ! we have two spins
     534          24 :       CPASSERT(SIZE(mo_array, 1) == 2)
     535             :       ! we want uniform occupations
     536          24 :       CALL get_mo_set(mo_set=mo_array(1), uniform_occupation=uniform_occupation)
     537          24 :       CPASSERT(uniform_occupation)
     538          24 :       CALL get_mo_set(mo_set=mo_array(2), mo_coeff=mo_coeff, uniform_occupation=uniform_occupation)
     539          24 :       CPASSERT(uniform_occupation)
     540             : 
     541          24 :       NULLIFY (tmp_dbcsr)
     542          24 :       CALL dbcsr_allocate_matrix_set(tmp_dbcsr, SIZE(mo_derivs, 1))
     543          60 :       DO i = 1, SIZE(mo_derivs, 1) !fm->dbcsr
     544             :          !
     545          36 :          NULLIFY (tmp_dbcsr(i)%matrix)
     546          36 :          CALL dbcsr_init_p(tmp_dbcsr(i)%matrix)
     547          36 :          CALL dbcsr_copy(tmp_dbcsr(i)%matrix, mo_derivs(i)%matrix)
     548          60 :          CALL dbcsr_set(tmp_dbcsr(i)%matrix, 0.0_dp)
     549             :       END DO !fm->dbcsr
     550             : 
     551          24 :       k_alpha = 0; k_beta = 0
     552          36 :       SELECT CASE (dft_control%sic_list_id)
     553             :       CASE (sic_list_all)
     554             : 
     555          12 :          CALL get_mo_set(mo_set=mo_array(1), mo_coeff=mo_coeff)
     556          12 :          CALL cp_fm_get_info(mo_coeff, ncol_global=k_alpha)
     557             : 
     558          12 :          IF (SIZE(mo_array, 1) > 1) THEN
     559          12 :             CALL get_mo_set(mo_set=mo_array(2), mo_coeff=mo_coeff)
     560          12 :             CALL cp_fm_get_info(mo_coeff, ncol_global=k_beta)
     561             :          END IF
     562             : 
     563          12 :          Norb = k_alpha + k_beta
     564          36 :          ALLOCATE (sic_orbital_list(3, Norb))
     565             : 
     566          48 :          iorb = 0
     567          48 :          DO i = 1, k_alpha
     568          36 :             iorb = iorb + 1
     569          36 :             sic_orbital_list(1, iorb) = 1
     570          36 :             sic_orbital_list(2, iorb) = i
     571          48 :             sic_orbital_list(3, iorb) = 1
     572             :          END DO
     573          36 :          DO i = 1, k_beta
     574          12 :             iorb = iorb + 1
     575          12 :             sic_orbital_list(1, iorb) = 2
     576          12 :             sic_orbital_list(2, iorb) = i
     577          24 :             IF (SIZE(mo_derivs, 1) == 1) THEN
     578           0 :                sic_orbital_list(3, iorb) = 1
     579             :             ELSE
     580          12 :                sic_orbital_list(3, iorb) = 2
     581             :             END IF
     582             :          END DO
     583             : 
     584             :       CASE (sic_list_unpaired)
     585             :          ! we have two spins
     586          12 :          CPASSERT(SIZE(mo_array, 1) == 2)
     587             :          ! we have them restricted
     588          12 :          CPASSERT(SIZE(mo_derivs, 1) == 1)
     589          12 :          CPASSERT(dft_control%restricted)
     590             : 
     591          12 :          CALL get_mo_set(mo_set=mo_array(1), mo_coeff=mo_coeff)
     592          12 :          CALL cp_fm_get_info(mo_coeff, ncol_global=k_alpha)
     593             : 
     594          12 :          CALL get_mo_set(mo_set=mo_array(2), mo_coeff=mo_coeff)
     595          12 :          CALL cp_fm_get_info(mo_coeff, ncol_global=k_beta)
     596             : 
     597          12 :          Norb = k_alpha - k_beta
     598          36 :          ALLOCATE (sic_orbital_list(3, Norb))
     599             : 
     600          12 :          iorb = 0
     601          60 :          DO i = k_beta + 1, k_alpha
     602          24 :             iorb = iorb + 1
     603          24 :             sic_orbital_list(1, iorb) = 1
     604          24 :             sic_orbital_list(2, iorb) = i
     605             :             ! we are guaranteed to be restricted
     606          36 :             sic_orbital_list(3, iorb) = 1
     607             :          END DO
     608             : 
     609             :       CASE DEFAULT
     610          24 :          CPABORT("")
     611             :       END SELECT
     612             : 
     613             :       ! data needed for each of the orbs
     614          24 :       CALL auxbas_pw_pool%create_pw(orb_rho_r)
     615          24 :       CALL auxbas_pw_pool%create_pw(tmp_r)
     616          24 :       CALL auxbas_pw_pool%create_pw(orb_rho_g)
     617          24 :       CALL auxbas_pw_pool%create_pw(tmp_g)
     618          24 :       CALL auxbas_pw_pool%create_pw(work_v_gspace)
     619          24 :       CALL auxbas_pw_pool%create_pw(work_v_rspace)
     620             : 
     621          24 :       ALLOCATE (orb_density_matrix)
     622             :       CALL dbcsr_copy(orb_density_matrix, rho_ao(1)%matrix, &
     623          24 :                       name="orb_density_matrix")
     624          24 :       CALL dbcsr_set(orb_density_matrix, 0.0_dp)
     625          24 :       orb_density_matrix_p%matrix => orb_density_matrix
     626             : 
     627          24 :       ALLOCATE (orb_h)
     628             :       CALL dbcsr_copy(orb_h, rho_ao(1)%matrix, &
     629          24 :                       name="orb_density_matrix")
     630          24 :       CALL dbcsr_set(orb_h, 0.0_dp)
     631          24 :       orb_h_p%matrix => orb_h
     632             : 
     633          24 :       CALL get_mo_set(mo_set=mo_array(1), mo_coeff=mo_coeff)
     634             : 
     635             :       CALL cp_fm_struct_create(fm_struct_tmp, ncol_global=1, &
     636          24 :                                template_fmstruct=mo_coeff%matrix_struct)
     637          24 :       CALL cp_fm_create(matrix_v, fm_struct_tmp, name="matrix_v")
     638          24 :       CALL cp_fm_create(matrix_hv, fm_struct_tmp, name="matrix_hv")
     639          24 :       CALL cp_fm_struct_release(fm_struct_tmp)
     640             : 
     641         120 :       ALLOCATE (mo_derivs_local(SIZE(mo_array, 1)))
     642          72 :       DO I = 1, SIZE(mo_array, 1)
     643          48 :          CALL get_mo_set(mo_set=mo_array(i), mo_coeff=mo_coeff)
     644          72 :          CALL cp_fm_create(mo_derivs_local(I), mo_coeff%matrix_struct)
     645             :       END DO
     646             : 
     647          72 :       ALLOCATE (rho_r(2))
     648          24 :       rho_r(1) = orb_rho_r
     649          24 :       rho_r(2) = tmp_r
     650          24 :       CALL pw_zero(tmp_r)
     651             : 
     652          72 :       ALLOCATE (rho_g(2))
     653          24 :       rho_g(1) = orb_rho_g
     654          24 :       rho_g(2) = tmp_g
     655          24 :       CALL pw_zero(tmp_g)
     656             : 
     657          24 :       NULLIFY (vxc)
     658             :       ! now apply to SIC correction to each selected orbital
     659          96 :       DO iorb = 1, Norb
     660             :          ! extract the proper orbital from the mo_coeff
     661          72 :          CALL get_mo_set(mo_set=mo_array(sic_orbital_list(1, iorb)), mo_coeff=mo_coeff)
     662          72 :          CALL cp_fm_to_fm(mo_coeff, matrix_v, 1, sic_orbital_list(2, iorb), 1)
     663             : 
     664             :          ! construct the density matrix and the corresponding density
     665          72 :          CALL dbcsr_set(orb_density_matrix, 0.0_dp)
     666             :          CALL cp_dbcsr_plus_fm_fm_t(orb_density_matrix, matrix_v=matrix_v, ncol=1, &
     667          72 :                                     alpha=1.0_dp)
     668             : 
     669             :          CALL calculate_rho_elec(matrix_p=orb_density_matrix, &
     670             :                                  rho=orb_rho_r, rho_gspace=orb_rho_g, &
     671          72 :                                  ks_env=ks_env)
     672             : 
     673             :          ! compute the energy functional for this orbital and its derivative
     674             : 
     675          72 :          CALL pw_poisson_solve(poisson_env, orb_rho_g, ener, work_v_gspace)
     676             :          ! no PBC correction is done here, see "calc_v_sic_rspace" for SIC methods
     677             :          ! with PBC aware corrections
     678          72 :          energy%hartree = energy%hartree - dft_control%sic_scaling_a*ener
     679          72 :          IF (.NOT. just_energy) THEN
     680          48 :             CALL pw_transfer(work_v_gspace, work_v_rspace)
     681          48 :             CALL pw_scale(work_v_rspace, -dft_control%sic_scaling_a*work_v_rspace%pw_grid%dvol)
     682          48 :             CALL dbcsr_set(orb_h, 0.0_dp)
     683             :          END IF
     684             : 
     685          72 :          IF (just_energy) THEN
     686             :             exc = xc_exc_calc(rho_r=rho_r, rho_g=rho_g, tau=tau, xc_section=xc_section, &
     687          24 :                               pw_pool=xc_pw_pool)
     688             :          ELSE
     689          48 :             CPASSERT(.NOT. compute_virial)
     690             :             CALL xc_vxc_pw_create1(vxc_rho=vxc, rho_r=rho_r, &
     691             :                                    rho_g=rho_g, tau=tau, vxc_tau=vxc_tau, exc=exc, xc_section=xc_section, &
     692          48 :                                    pw_pool=xc_pw_pool, compute_virial=compute_virial, virial_xc=virial_xc_tmp)
     693             :             ! add to the existing work_v_rspace
     694          48 :             CALL pw_axpy(vxc(1), work_v_rspace, -dft_control%sic_scaling_b*vxc(1)%pw_grid%dvol)
     695             :          END IF
     696          72 :          energy%exc = energy%exc - dft_control%sic_scaling_b*exc
     697             : 
     698         168 :          IF (.NOT. just_energy) THEN
     699             :             ! note, orb_h (which is being pointed to with orb_h_p) is zeroed above
     700             :             CALL integrate_v_rspace(v_rspace=work_v_rspace, pmat=orb_density_matrix_p, hmat=orb_h_p, &
     701          48 :                                     qs_env=qs_env, calculate_forces=calculate_forces)
     702             : 
     703             :             ! add this to the mo_derivs
     704          48 :             CALL cp_dbcsr_sm_fm_multiply(orb_h, matrix_v, matrix_hv, 1)
     705             :             ! silly trick, copy to an array of the right size and add to mo_derivs
     706          48 :             CALL cp_fm_set_all(mo_derivs_local(sic_orbital_list(3, iorb)), 0.0_dp)
     707          48 :             CALL cp_fm_to_fm(matrix_hv, mo_derivs_local(sic_orbital_list(3, iorb)), 1, 1, sic_orbital_list(2, iorb))
     708             :             CALL copy_fm_to_dbcsr(mo_derivs_local(sic_orbital_list(3, iorb)), &
     709          48 :                                   tmp_dbcsr(sic_orbital_list(3, iorb))%matrix)
     710             :             CALL dbcsr_add(mo_derivs(sic_orbital_list(3, iorb))%matrix, &
     711          48 :                            tmp_dbcsr(sic_orbital_list(3, iorb))%matrix, 1.0_dp, 1.0_dp)
     712             :             !
     713             :             ! need to deallocate vxc
     714          48 :             CALL xc_pw_pool%give_back_pw(vxc(1))
     715          48 :             CALL xc_pw_pool%give_back_pw(vxc(2))
     716          48 :             DEALLOCATE (vxc)
     717             : 
     718             :          END IF
     719             : 
     720             :       END DO
     721             : 
     722          24 :       CALL auxbas_pw_pool%give_back_pw(orb_rho_r)
     723          24 :       CALL auxbas_pw_pool%give_back_pw(tmp_r)
     724          24 :       CALL auxbas_pw_pool%give_back_pw(orb_rho_g)
     725          24 :       CALL auxbas_pw_pool%give_back_pw(tmp_g)
     726          24 :       CALL auxbas_pw_pool%give_back_pw(work_v_gspace)
     727          24 :       CALL auxbas_pw_pool%give_back_pw(work_v_rspace)
     728             : 
     729          24 :       CALL dbcsr_deallocate_matrix(orb_density_matrix)
     730          24 :       CALL dbcsr_deallocate_matrix(orb_h)
     731          24 :       CALL cp_fm_release(matrix_v)
     732          24 :       CALL cp_fm_release(matrix_hv)
     733          24 :       CALL cp_fm_release(mo_derivs_local)
     734          24 :       DEALLOCATE (rho_r)
     735          24 :       DEALLOCATE (rho_g)
     736             : 
     737          24 :       CALL dbcsr_deallocate_matrix_set(tmp_dbcsr) !fm->dbcsr
     738             : 
     739          24 :       CALL timestop(handle)
     740             : 
     741       98063 :    END SUBROUTINE sic_explicit_orbitals
     742             : 
     743             : ! **************************************************************************************************
     744             : !> \brief do sic calculations on the spin density
     745             : !> \param v_sic_rspace ...
     746             : !> \param energy ...
     747             : !> \param qs_env ...
     748             : !> \param dft_control ...
     749             : !> \param rho ...
     750             : !> \param poisson_env ...
     751             : !> \param just_energy ...
     752             : !> \param calculate_forces ...
     753             : !> \param auxbas_pw_pool ...
     754             : ! **************************************************************************************************
     755       97967 :    SUBROUTINE calc_v_sic_rspace(v_sic_rspace, energy, &
     756             :                                 qs_env, dft_control, rho, poisson_env, just_energy, &
     757             :                                 calculate_forces, auxbas_pw_pool)
     758             : 
     759             :       TYPE(pw_r3d_rs_type), POINTER                      :: v_sic_rspace
     760             :       TYPE(qs_energy_type), POINTER                      :: energy
     761             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     762             :       TYPE(dft_control_type), POINTER                    :: dft_control
     763             :       TYPE(qs_rho_type), POINTER                         :: rho
     764             :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     765             :       LOGICAL, INTENT(IN)                                :: just_energy, calculate_forces
     766             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     767             : 
     768             :       INTEGER                                            :: i, nelec, nelec_a, nelec_b, nforce
     769             :       REAL(kind=dp)                                      :: ener, full_scaling, scaling
     770       97967 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: store_forces
     771       97967 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mo_array
     772             :       TYPE(pw_c1d_gs_type)                               :: work_rho, work_v
     773       97967 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
     774       97967 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     775             : 
     776       97967 :       NULLIFY (mo_array, rho_g)
     777             : 
     778       97967 :       IF (dft_control%sic_method_id == sic_none) RETURN
     779         224 :       IF (dft_control%sic_method_id == sic_eo) RETURN
     780             : 
     781         200 :       IF (dft_control%qs_control%gapw) &
     782           0 :          CPABORT("sic and GAPW not yet compatible")
     783             : 
     784             :       ! OK, right now we like two spins to do sic, could be relaxed for AD
     785         200 :       CPASSERT(dft_control%nspins == 2)
     786             : 
     787         200 :       CALL auxbas_pw_pool%create_pw(work_rho)
     788         200 :       CALL auxbas_pw_pool%create_pw(work_v)
     789             : 
     790         200 :       CALL qs_rho_get(rho, rho_g=rho_g)
     791             : 
     792             :       ! Hartree sic corrections
     793         380 :       SELECT CASE (dft_control%sic_method_id)
     794             :       CASE (sic_mauri_us, sic_mauri_spz)
     795         180 :          CALL pw_copy(rho_g(1), work_rho)
     796         180 :          CALL pw_axpy(rho_g(2), work_rho, alpha=-1._dp)
     797         200 :          CALL pw_poisson_solve(poisson_env, work_rho, ener, work_v)
     798             :       CASE (sic_ad)
     799             :          ! find out how many elecs we have
     800          20 :          CALL get_qs_env(qs_env, mos=mo_array)
     801          20 :          CALL get_mo_set(mo_set=mo_array(1), nelectron=nelec_a)
     802          20 :          CALL get_mo_set(mo_set=mo_array(2), nelectron=nelec_b)
     803          20 :          nelec = nelec_a + nelec_b
     804          20 :          CALL pw_copy(rho_g(1), work_rho)
     805          20 :          CALL pw_axpy(rho_g(2), work_rho)
     806          20 :          scaling = 1.0_dp/REAL(nelec, KIND=dp)
     807          20 :          CALL pw_scale(work_rho, scaling)
     808          20 :          CALL pw_poisson_solve(poisson_env, work_rho, ener, work_v)
     809             :       CASE DEFAULT
     810         420 :          CPABORT("Unknown sic method id")
     811             :       END SELECT
     812             : 
     813             :       ! Correct for  DDAP charges (if any)
     814             :       ! storing whatever force might be there from previous decoupling
     815         200 :       IF (calculate_forces) THEN
     816          48 :          CALL get_qs_env(qs_env=qs_env, force=force)
     817          48 :          nforce = 0
     818         112 :          DO i = 1, SIZE(force)
     819         112 :             nforce = nforce + SIZE(force(i)%ch_pulay, 2)
     820             :          END DO
     821         144 :          ALLOCATE (store_forces(3, nforce))
     822         112 :          nforce = 0
     823         112 :          DO i = 1, SIZE(force)
     824         784 :             store_forces(1:3, nforce + 1:nforce + SIZE(force(i)%ch_pulay, 2)) = force(i)%ch_pulay(:, :)
     825         784 :             force(i)%ch_pulay(:, :) = 0.0_dp
     826         112 :             nforce = nforce + SIZE(force(i)%ch_pulay, 2)
     827             :          END DO
     828             :       END IF
     829             : 
     830             :       CALL cp_ddapc_apply_CD(qs_env, &
     831             :                              work_rho, &
     832             :                              ener, &
     833             :                              v_hartree_gspace=work_v, &
     834             :                              calculate_forces=calculate_forces, &
     835         200 :                              Itype_of_density="SPIN")
     836             : 
     837         380 :       SELECT CASE (dft_control%sic_method_id)
     838             :       CASE (sic_mauri_us, sic_mauri_spz)
     839         180 :          full_scaling = -dft_control%sic_scaling_a
     840             :       CASE (sic_ad)
     841          20 :          full_scaling = -dft_control%sic_scaling_a*nelec
     842             :       CASE DEFAULT
     843         200 :          CPABORT("Unknown sic method id")
     844             :       END SELECT
     845         200 :       energy%hartree = energy%hartree + full_scaling*ener
     846             : 
     847             :       ! add scaled forces, restoring the old
     848         200 :       IF (calculate_forces) THEN
     849          48 :          nforce = 0
     850         112 :          DO i = 1, SIZE(force)
     851             :             force(i)%ch_pulay(:, :) = force(i)%ch_pulay(:, :)*full_scaling + &
     852         784 :                                       store_forces(1:3, nforce + 1:nforce + SIZE(force(i)%ch_pulay, 2))
     853         112 :             nforce = nforce + SIZE(force(i)%ch_pulay, 2)
     854             :          END DO
     855             :       END IF
     856             : 
     857         200 :       IF (.NOT. just_energy) THEN
     858         148 :          ALLOCATE (v_sic_rspace)
     859         148 :          CALL auxbas_pw_pool%create_pw(v_sic_rspace)
     860         148 :          CALL pw_transfer(work_v, v_sic_rspace)
     861             :          ! also take into account the scaling (in addition to the volume element)
     862             :          CALL pw_scale(v_sic_rspace, &
     863         148 :                        dft_control%sic_scaling_a*v_sic_rspace%pw_grid%dvol)
     864             :       END IF
     865             : 
     866         200 :       CALL auxbas_pw_pool%give_back_pw(work_rho)
     867         200 :       CALL auxbas_pw_pool%give_back_pw(work_v)
     868             : 
     869       98167 :    END SUBROUTINE calc_v_sic_rspace
     870             : 
     871             : ! **************************************************************************************************
     872             : !> \brief ...
     873             : !> \param qs_env ...
     874             : !> \param rho ...
     875             : ! **************************************************************************************************
     876      195890 :    SUBROUTINE print_densities(qs_env, rho)
     877             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     878             :       TYPE(qs_rho_type), POINTER                         :: rho
     879             : 
     880             :       INTEGER                                            :: img, ispin, n_electrons, output_unit
     881             :       REAL(dp)                                           :: tot1_h, tot1_s, tot_rho_r, trace, &
     882             :                                                             trace_tmp
     883       97945 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: tot_rho_r_arr
     884             :       TYPE(cell_type), POINTER                           :: cell
     885             :       TYPE(cp_logger_type), POINTER                      :: logger
     886       97945 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_s, rho_ao
     887             :       TYPE(dft_control_type), POINTER                    :: dft_control
     888             :       TYPE(qs_charges_type), POINTER                     :: qs_charges
     889       97945 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     890             :       TYPE(section_vals_type), POINTER                   :: input, scf_section
     891             : 
     892       97945 :       NULLIFY (qs_charges, qs_kind_set, cell, input, logger, scf_section, matrix_s, &
     893       97945 :                dft_control, tot_rho_r_arr, rho_ao)
     894             : 
     895      195890 :       logger => cp_get_default_logger()
     896             : 
     897             :       CALL get_qs_env(qs_env, &
     898             :                       qs_kind_set=qs_kind_set, &
     899             :                       cell=cell, qs_charges=qs_charges, &
     900             :                       input=input, &
     901             :                       matrix_s_kp=matrix_s, &
     902       97945 :                       dft_control=dft_control)
     903             : 
     904       97945 :       CALL get_qs_kind_set(qs_kind_set, nelectron=n_electrons)
     905             : 
     906       97945 :       scf_section => section_vals_get_subs_vals(input, "DFT%SCF")
     907             :       output_unit = cp_print_key_unit_nr(logger, scf_section, "PRINT%TOTAL_DENSITIES", &
     908       97945 :                                          extension=".scfLog")
     909             : 
     910       97945 :       CALL qs_rho_get(rho, tot_rho_r=tot_rho_r_arr, rho_ao_kp=rho_ao)
     911       97945 :       n_electrons = n_electrons - dft_control%charge
     912       97945 :       tot_rho_r = accurate_sum(tot_rho_r_arr)
     913             : 
     914       97945 :       trace = 0
     915       97945 :       IF (BTEST(cp_print_key_should_output(logger%iter_info, scf_section, "PRINT%TOTAL_DENSITIES"), cp_p_file)) THEN
     916        4138 :          DO ispin = 1, dft_control%nspins
     917        6740 :             DO img = 1, dft_control%nimages
     918        2602 :                CALL dbcsr_dot(rho_ao(ispin, img)%matrix, matrix_s(1, img)%matrix, trace_tmp)
     919        5070 :                trace = trace + trace_tmp
     920             :             END DO
     921             :          END DO
     922             :       END IF
     923             : 
     924       97945 :       IF (output_unit > 0) THEN
     925         835 :          WRITE (UNIT=output_unit, FMT="(/,T3,A,T41,F20.10)") "Trace(PS):", trace
     926             :          WRITE (UNIT=output_unit, FMT="((T3,A,T41,2F20.10))") &
     927         835 :             "Electronic density on regular grids: ", &
     928         835 :             tot_rho_r, &
     929             :             tot_rho_r + &
     930         835 :             REAL(n_electrons, dp), &
     931         835 :             "Core density on regular grids:", &
     932         835 :             qs_charges%total_rho_core_rspace, &
     933        1670 :             qs_charges%total_rho_core_rspace - REAL(n_electrons + dft_control%charge, dp)
     934             :       END IF
     935       97945 :       IF (dft_control%qs_control%gapw) THEN
     936       13108 :          tot1_h = qs_charges%total_rho1_hard(1)
     937       13108 :          tot1_s = qs_charges%total_rho1_soft(1)
     938       16246 :          DO ispin = 2, dft_control%nspins
     939        3138 :             tot1_h = tot1_h + qs_charges%total_rho1_hard(ispin)
     940       16246 :             tot1_s = tot1_s + qs_charges%total_rho1_soft(ispin)
     941             :          END DO
     942       13108 :          IF (output_unit > 0) THEN
     943             :             WRITE (UNIT=output_unit, FMT="((T3,A,T41,2F20.10))") &
     944         399 :                "Hard and soft densities (Lebedev):", &
     945         798 :                tot1_h, tot1_s
     946             :             WRITE (UNIT=output_unit, FMT="(T3,A,T41,F20.10)") &
     947         399 :                "Total Rho_soft + Rho1_hard - Rho1_soft (r-space): ", &
     948         399 :                tot_rho_r + tot1_h - tot1_s, &
     949         399 :                "Total charge density (r-space):      ", &
     950             :                tot_rho_r + tot1_h - tot1_s &
     951         399 :                + qs_charges%total_rho_core_rspace, &
     952         399 :                "Total Rho_soft + Rho0_soft (g-space):", &
     953         798 :                qs_charges%total_rho_gspace
     954             :          END IF
     955             :          qs_charges%background = tot_rho_r + tot1_h - tot1_s + &
     956       13108 :                                  qs_charges%total_rho_core_rspace
     957       84837 :       ELSE IF (dft_control%qs_control%gapw_xc) THEN
     958        2534 :          tot1_h = qs_charges%total_rho1_hard(1)
     959        2534 :          tot1_s = qs_charges%total_rho1_soft(1)
     960        2886 :          DO ispin = 2, dft_control%nspins
     961         352 :             tot1_h = tot1_h + qs_charges%total_rho1_hard(ispin)
     962        2886 :             tot1_s = tot1_s + qs_charges%total_rho1_soft(ispin)
     963             :          END DO
     964        2534 :          IF (output_unit > 0) THEN
     965             :             WRITE (UNIT=output_unit, FMT="(/,(T3,A,T41,2F20.10))") &
     966           0 :                "Hard and soft densities (Lebedev):", &
     967           0 :                tot1_h, tot1_s
     968             :             WRITE (UNIT=output_unit, FMT="(T3,A,T41,F20.10)") &
     969           0 :                "Total Rho_soft + Rho1_hard - Rho1_soft (r-space): ", &
     970           0 :                accurate_sum(tot_rho_r_arr) + tot1_h - tot1_s
     971             :          END IF
     972             :          qs_charges%background = tot_rho_r + &
     973        2534 :                                  qs_charges%total_rho_core_rspace
     974             :       ELSE
     975       82303 :          IF (output_unit > 0) THEN
     976             :             WRITE (UNIT=output_unit, FMT="(T3,A,T41,F20.10)") &
     977         436 :                "Total charge density on r-space grids:     ", &
     978             :                tot_rho_r + &
     979         436 :                qs_charges%total_rho_core_rspace, &
     980         436 :                "Total charge density g-space grids:     ", &
     981         872 :                qs_charges%total_rho_gspace
     982             :          END IF
     983             :          qs_charges%background = tot_rho_r + &
     984       82303 :                                  qs_charges%total_rho_core_rspace
     985             :       END IF
     986       97945 :       IF (output_unit > 0) WRITE (UNIT=output_unit, FMT="()")
     987       97945 :       qs_charges%background = qs_charges%background/cell%deth
     988             : 
     989             :       CALL cp_print_key_finished_output(output_unit, logger, scf_section, &
     990       97945 :                                         "PRINT%TOTAL_DENSITIES")
     991             : 
     992       97945 :    END SUBROUTINE print_densities
     993             : 
     994             : ! **************************************************************************************************
     995             : !> \brief Print detailed energies
     996             : !>
     997             : !> \param qs_env ...
     998             : !> \param dft_control ...
     999             : !> \param input ...
    1000             : !> \param energy ...
    1001             : !> \param mulliken_order_p ...
    1002             : !> \par History
    1003             : !>    refactoring 04.03.2011 [MI]
    1004             : !> \author
    1005             : ! **************************************************************************************************
    1006       97945 :    SUBROUTINE print_detailed_energy(qs_env, dft_control, input, energy, mulliken_order_p)
    1007             : 
    1008             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1009             :       TYPE(dft_control_type), POINTER                    :: dft_control
    1010             :       TYPE(section_vals_type), POINTER                   :: input
    1011             :       TYPE(qs_energy_type), POINTER                      :: energy
    1012             :       REAL(KIND=dp), INTENT(IN)                          :: mulliken_order_p
    1013             : 
    1014             :       INTEGER                                            :: bc, n, output_unit, psolver
    1015             :       REAL(KIND=dp)                                      :: ddapc_order_p, implicit_ps_ehartree, &
    1016             :                                                             s2_order_p
    1017             :       TYPE(cp_logger_type), POINTER                      :: logger
    1018             :       TYPE(pw_env_type), POINTER                         :: pw_env
    1019             : 
    1020       97945 :       logger => cp_get_default_logger()
    1021             : 
    1022       97945 :       NULLIFY (pw_env)
    1023       97945 :       CALL get_qs_env(qs_env=qs_env, pw_env=pw_env)
    1024       97945 :       psolver = pw_env%poisson_env%parameters%solver
    1025             : 
    1026             :       output_unit = cp_print_key_unit_nr(logger, input, "DFT%SCF%PRINT%DETAILED_ENERGY", &
    1027       97945 :                                          extension=".scfLog")
    1028       97945 :       IF (output_unit > 0) THEN
    1029         488 :          IF (dft_control%do_admm) THEN
    1030             :             WRITE (UNIT=output_unit, FMT="((T3,A,T60,F20.10))") &
    1031           0 :                "Wfn fit exchange-correlation energy:            ", energy%exc_aux_fit
    1032           0 :             IF (dft_control%qs_control%gapw .OR. dft_control%qs_control%gapw_xc) THEN
    1033             :                WRITE (UNIT=output_unit, FMT="((T3,A,T60,F20.10))") &
    1034           0 :                   "Wfn fit soft/hard atomic rho1 Exc contribution: ", energy%exc1_aux_fit
    1035             :             END IF
    1036             :          END IF
    1037         488 :          IF (dft_control%do_admm) THEN
    1038           0 :             IF (psolver .EQ. pw_poisson_implicit) THEN
    1039           0 :                implicit_ps_ehartree = pw_env%poisson_env%implicit_env%ehartree
    1040           0 :                bc = pw_env%poisson_env%parameters%ps_implicit_params%boundary_condition
    1041           0 :                SELECT CASE (bc)
    1042             :                CASE (MIXED_PERIODIC_BC, MIXED_BC)
    1043             :                   WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1044           0 :                      "Core Hamiltonian energy:                       ", energy%core, &
    1045           0 :                      "Hartree energy:                                ", implicit_ps_ehartree, &
    1046           0 :                      "Electric enthalpy:                             ", energy%hartree, &
    1047           0 :                      "Exchange-correlation energy:                   ", energy%exc + energy%exc_aux_fit
    1048             :                CASE (PERIODIC_BC, NEUMANN_BC)
    1049             :                   WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1050           0 :                      "Core Hamiltonian energy:                       ", energy%core, &
    1051           0 :                      "Hartree energy:                                ", energy%hartree, &
    1052           0 :                      "Exchange-correlation energy:                   ", energy%exc + energy%exc_aux_fit
    1053             :                END SELECT
    1054             :             ELSE
    1055             :                WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1056           0 :                   "Core Hamiltonian energy:                       ", energy%core, &
    1057           0 :                   "Hartree energy:                                ", energy%hartree, &
    1058           0 :                   "Exchange-correlation energy:                   ", energy%exc + energy%exc_aux_fit
    1059             :             END IF
    1060             :          ELSE
    1061             : !ZMP to print some variables at each step
    1062         488 :             IF (dft_control%apply_external_density) THEN
    1063             :                WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1064           0 :                   "DOING ZMP CALCULATION FROM EXTERNAL DENSITY    "
    1065             :                WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1066           0 :                   "Core Hamiltonian energy:                       ", energy%core, &
    1067           0 :                   "Hartree energy:                                ", energy%hartree
    1068         488 :             ELSE IF (dft_control%apply_external_vxc) THEN
    1069             :                WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1070           0 :                   "DOING ZMP READING EXTERNAL VXC                 "
    1071             :                WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1072           0 :                   "Core Hamiltonian energy:                       ", energy%core, &
    1073           0 :                   "Hartree energy:                                ", energy%hartree
    1074             :             ELSE
    1075         488 :                IF (psolver .EQ. pw_poisson_implicit) THEN
    1076           0 :                   implicit_ps_ehartree = pw_env%poisson_env%implicit_env%ehartree
    1077           0 :                   bc = pw_env%poisson_env%parameters%ps_implicit_params%boundary_condition
    1078           0 :                   SELECT CASE (bc)
    1079             :                   CASE (MIXED_PERIODIC_BC, MIXED_BC)
    1080             :                      WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1081           0 :                         "Core Hamiltonian energy:                       ", energy%core, &
    1082           0 :                         "Hartree energy:                                ", implicit_ps_ehartree, &
    1083           0 :                         "Electric enthalpy:                             ", energy%hartree, &
    1084           0 :                         "Exchange-correlation energy:                   ", energy%exc
    1085             :                   CASE (PERIODIC_BC, NEUMANN_BC)
    1086             :                      WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1087           0 :                         "Core Hamiltonian energy:                       ", energy%core, &
    1088           0 :                         "Hartree energy:                                ", energy%hartree, &
    1089           0 :                         "Exchange-correlation energy:                   ", energy%exc
    1090             :                   END SELECT
    1091             :                ELSE
    1092             :                   WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1093         488 :                      "Core Hamiltonian energy:                       ", energy%core, &
    1094         488 :                      "Hartree energy:                                ", energy%hartree, &
    1095         976 :                      "Exchange-correlation energy:                   ", energy%exc
    1096             :                END IF
    1097             :             END IF
    1098             :          END IF
    1099             : 
    1100         488 :          IF (dft_control%apply_external_density) THEN
    1101             :             WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1102           0 :                "Integral of the (density * v_xc):              ", energy%exc
    1103             :          END IF
    1104             : 
    1105         488 :          IF (energy%e_hartree /= 0.0_dp) &
    1106             :             WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1107         456 :             "Coulomb (electron-electron) energy:            ", energy%e_hartree
    1108         488 :          IF (energy%dispersion /= 0.0_dp) &
    1109             :             WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1110           0 :             "Dispersion energy:                             ", energy%dispersion
    1111         488 :          IF (energy%efield /= 0.0_dp) &
    1112             :             WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1113           0 :             "Electric field interaction energy:             ", energy%efield
    1114         488 :          IF (energy%gcp /= 0.0_dp) &
    1115             :             WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1116           0 :             "gCP energy:                                    ", energy%gcp
    1117         488 :          IF (dft_control%qs_control%gapw) THEN
    1118             :             WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1119          32 :                "GAPW| Exc from hard and soft atomic rho1:      ", energy%exc1 + energy%exc1_aux_fit, &
    1120          64 :                "GAPW| local Eh = 1 center integrals:           ", energy%hartree_1c
    1121             :          END IF
    1122         488 :          IF (dft_control%qs_control%gapw_xc) THEN
    1123             :             WRITE (UNIT=output_unit, FMT="(/,(T3,A,T61,F20.10))") &
    1124           0 :                "GAPW| Exc from hard and soft atomic rho1:      ", energy%exc1 + energy%exc1_aux_fit
    1125             :          END IF
    1126         488 :          IF (dft_control%dft_plus_u) THEN
    1127             :             WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1128           0 :                "DFT+U energy:", energy%dft_plus_u
    1129             :          END IF
    1130         488 :          IF (qs_env%qmmm) THEN
    1131             :             WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1132           0 :                "QM/MM Electrostatic energy:                    ", energy%qmmm_el
    1133           0 :             IF (qs_env%qmmm_env_qm%image_charge) THEN
    1134             :                WRITE (UNIT=output_unit, FMT="(T3,A,T61,F20.10)") &
    1135           0 :                   "QM/MM image charge energy:                ", energy%image_charge
    1136             :             END IF
    1137             :          END IF
    1138         488 :          IF (dft_control%qs_control%mulliken_restraint) THEN
    1139             :             WRITE (UNIT=output_unit, FMT="(T3,A,T41,2F20.10)") &
    1140           0 :                "Mulliken restraint (order_p,energy) : ", mulliken_order_p, energy%mulliken
    1141             :          END IF
    1142         488 :          IF (dft_control%qs_control%ddapc_restraint) THEN
    1143          40 :             DO n = 1, SIZE(dft_control%qs_control%ddapc_restraint_control)
    1144             :                ddapc_order_p = &
    1145          20 :                   dft_control%qs_control%ddapc_restraint_control(n)%ddapc_order_p
    1146             :                WRITE (UNIT=output_unit, FMT="(T3,A,T41,2F20.10)") &
    1147          40 :                   "DDAPC restraint (order_p,energy) : ", ddapc_order_p, energy%ddapc_restraint(n)
    1148             :             END DO
    1149             :          END IF
    1150         488 :          IF (dft_control%qs_control%s2_restraint) THEN
    1151           0 :             s2_order_p = dft_control%qs_control%s2_restraint_control%s2_order_p
    1152             :             WRITE (UNIT=output_unit, FMT="(T3,A,T41,2F20.10)") &
    1153           0 :                "S2 restraint (order_p,energy) : ", s2_order_p, energy%s2_restraint
    1154             :          END IF
    1155             : 
    1156             :       END IF ! output_unit
    1157             :       CALL cp_print_key_finished_output(output_unit, logger, input, &
    1158       97945 :                                         "DFT%SCF%PRINT%DETAILED_ENERGY")
    1159             : 
    1160       97945 :    END SUBROUTINE print_detailed_energy
    1161             : 
    1162             : ! **************************************************************************************************
    1163             : !> \brief compute matrix_vxc, defined via the potential created by qs_vxc_create
    1164             : !>        ignores things like tau functional, gapw, sic, ...
    1165             : !>         so only OK for GGA & GPW right now
    1166             : !> \param qs_env ...
    1167             : !> \param v_rspace ...
    1168             : !> \param matrix_vxc ...
    1169             : !> \par History
    1170             : !>    created 23.10.2012 [Joost VandeVondele]
    1171             : !> \author
    1172             : ! **************************************************************************************************
    1173           4 :    SUBROUTINE compute_matrix_vxc(qs_env, v_rspace, matrix_vxc)
    1174             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1175             :       TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(IN)     :: v_rspace
    1176             :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_vxc
    1177             : 
    1178             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'compute_matrix_vxc'
    1179             : 
    1180             :       INTEGER                                            :: handle, ispin
    1181             :       LOGICAL                                            :: gapw
    1182           4 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ks
    1183             :       TYPE(dft_control_type), POINTER                    :: dft_control
    1184             : 
    1185           4 :       CALL timeset(routineN, handle)
    1186             : 
    1187             :       ! create the matrix using matrix_ks as a template
    1188           4 :       IF (ASSOCIATED(matrix_vxc)) THEN
    1189           0 :          CALL dbcsr_deallocate_matrix_set(matrix_vxc)
    1190             :       END IF
    1191           4 :       CALL get_qs_env(qs_env, matrix_ks=matrix_ks)
    1192          18 :       ALLOCATE (matrix_vxc(SIZE(matrix_ks)))
    1193          10 :       DO ispin = 1, SIZE(matrix_ks)
    1194           6 :          NULLIFY (matrix_vxc(ispin)%matrix)
    1195           6 :          CALL dbcsr_init_p(matrix_vxc(ispin)%matrix)
    1196             :          CALL dbcsr_copy(matrix_vxc(ispin)%matrix, matrix_ks(ispin)%matrix, &
    1197           6 :                          name="Matrix VXC of spin "//cp_to_string(ispin))
    1198          10 :          CALL dbcsr_set(matrix_vxc(ispin)%matrix, 0.0_dp)
    1199             :       END DO
    1200             : 
    1201             :       ! and integrate
    1202           4 :       CALL get_qs_env(qs_env, dft_control=dft_control)
    1203           4 :       gapw = dft_control%qs_control%gapw .OR. dft_control%qs_control%gapw_xc
    1204          10 :       DO ispin = 1, SIZE(matrix_ks)
    1205             :          CALL integrate_v_rspace(v_rspace=v_rspace(ispin), &
    1206             :                                  hmat=matrix_vxc(ispin), &
    1207             :                                  qs_env=qs_env, &
    1208             :                                  calculate_forces=.FALSE., &
    1209           6 :                                  gapw=gapw)
    1210             :          ! scale by the volume element... should really become part of integrate_v_rspace
    1211          10 :          CALL dbcsr_scale(matrix_vxc(ispin)%matrix, v_rspace(ispin)%pw_grid%dvol)
    1212             :       END DO
    1213             : 
    1214           4 :       CALL timestop(handle)
    1215             : 
    1216           4 :    END SUBROUTINE compute_matrix_vxc
    1217             : 
    1218             : ! **************************************************************************************************
    1219             : !> \brief Sum up all potentials defined  on the grid and integrate
    1220             : !>
    1221             : !> \param qs_env ...
    1222             : !> \param ks_matrix ...
    1223             : !> \param rho ...
    1224             : !> \param my_rho ...
    1225             : !> \param vppl_rspace ...
    1226             : !> \param v_rspace_new ...
    1227             : !> \param v_rspace_new_aux_fit ...
    1228             : !> \param v_tau_rspace ...
    1229             : !> \param v_tau_rspace_aux_fit ...
    1230             : !> \param v_sic_rspace ...
    1231             : !> \param v_spin_ddapc_rest_r ...
    1232             : !> \param v_sccs_rspace ...
    1233             : !> \param v_rspace_embed ...
    1234             : !> \param cdft_control ...
    1235             : !> \param calculate_forces ...
    1236             : !> \par History
    1237             : !>      - refactoring 04.03.2011 [MI]
    1238             : !>      - SCCS implementation (16.10.2013,MK)
    1239             : !> \author
    1240             : ! **************************************************************************************************
    1241       90916 :    SUBROUTINE sum_up_and_integrate(qs_env, ks_matrix, rho, my_rho, &
    1242             :                                    vppl_rspace, v_rspace_new, &
    1243             :                                    v_rspace_new_aux_fit, v_tau_rspace, &
    1244             :                                    v_tau_rspace_aux_fit, &
    1245             :                                    v_sic_rspace, v_spin_ddapc_rest_r, &
    1246             :                                    v_sccs_rspace, v_rspace_embed, cdft_control, &
    1247             :                                    calculate_forces)
    1248             : 
    1249             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1250             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: ks_matrix
    1251             :       TYPE(qs_rho_type), POINTER                         :: rho
    1252             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: my_rho
    1253             :       TYPE(pw_r3d_rs_type), POINTER                      :: vppl_rspace
    1254             :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: v_rspace_new, v_rspace_new_aux_fit, &
    1255             :                                                             v_tau_rspace, v_tau_rspace_aux_fit
    1256             :       TYPE(pw_r3d_rs_type), POINTER                      :: v_sic_rspace, v_spin_ddapc_rest_r, &
    1257             :                                                             v_sccs_rspace
    1258             :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: v_rspace_embed
    1259             :       TYPE(cdft_control_type), POINTER                   :: cdft_control
    1260             :       LOGICAL, INTENT(in)                                :: calculate_forces
    1261             : 
    1262             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'sum_up_and_integrate'
    1263             : 
    1264             :       CHARACTER(LEN=default_string_length)               :: basis_type
    1265             :       INTEGER                                            :: handle, igroup, ikind, img, ispin, &
    1266             :                                                             nkind, nspins
    1267       90916 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
    1268             :       LOGICAL                                            :: do_ppl, gapw, gapw_xc, lrigpw, rigpw
    1269             :       REAL(KIND=dp)                                      :: csign, dvol, fadm
    1270             :       TYPE(admm_type), POINTER                           :: admm_env
    1271       90916 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
    1272       90916 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: ksmat, rho_ao, rho_ao_nokp, smat
    1273       90916 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_ks_aux_fit, &
    1274       90916 :                                                             matrix_ks_aux_fit_dft, rho_ao_aux, &
    1275       90916 :                                                             rho_ao_kp
    1276             :       TYPE(dft_control_type), POINTER                    :: dft_control
    1277             :       TYPE(kpoint_type), POINTER                         :: kpoints
    1278             :       TYPE(lri_density_type), POINTER                    :: lri_density
    1279             :       TYPE(lri_environment_type), POINTER                :: lri_env
    1280       90916 :       TYPE(lri_kind_type), DIMENSION(:), POINTER         :: lri_v_int
    1281             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1282             :       TYPE(pw_env_type), POINTER                         :: pw_env
    1283             :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
    1284             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
    1285             :       TYPE(pw_r3d_rs_type), POINTER                      :: v_rspace, vee
    1286             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    1287             :       TYPE(qs_rho_type), POINTER                         :: rho_aux_fit
    1288             :       TYPE(task_list_type), POINTER                      :: task_list
    1289             : 
    1290       90916 :       CALL timeset(routineN, handle)
    1291             : 
    1292       90916 :       NULLIFY (auxbas_pw_pool, dft_control, pw_env, matrix_ks_aux_fit, &
    1293       90916 :                v_rspace, rho_aux_fit, vee, rho_ao, rho_ao_kp, rho_ao_aux, &
    1294       90916 :                ksmat, matrix_ks_aux_fit_dft, lri_env, lri_density, atomic_kind_set, &
    1295       90916 :                rho_ao_nokp, ks_env, admm_env, task_list)
    1296             : 
    1297             :       CALL get_qs_env(qs_env, &
    1298             :                       dft_control=dft_control, &
    1299             :                       pw_env=pw_env, &
    1300             :                       v_hartree_rspace=v_rspace, &
    1301       90916 :                       vee=vee)
    1302             : 
    1303       90916 :       CALL qs_rho_get(rho, rho_ao_kp=rho_ao_kp)
    1304       90916 :       CALL pw_env_get(pw_env, poisson_env=poisson_env, auxbas_pw_pool=auxbas_pw_pool)
    1305       90916 :       gapw = dft_control%qs_control%gapw
    1306       90916 :       gapw_xc = dft_control%qs_control%gapw_xc
    1307       90916 :       do_ppl = dft_control%qs_control%do_ppl_method == do_ppl_grid
    1308             : 
    1309       90916 :       rigpw = dft_control%qs_control%rigpw
    1310       90916 :       lrigpw = dft_control%qs_control%lrigpw
    1311       90916 :       IF (lrigpw .OR. rigpw) THEN
    1312             :          CALL get_qs_env(qs_env, &
    1313             :                          lri_env=lri_env, &
    1314             :                          lri_density=lri_density, &
    1315         428 :                          atomic_kind_set=atomic_kind_set)
    1316             :       END IF
    1317             : 
    1318       90916 :       nspins = dft_control%nspins
    1319             : 
    1320             :       ! sum up potentials and integrate
    1321       90916 :       IF (ASSOCIATED(v_rspace_new)) THEN
    1322      178805 :          DO ispin = 1, nspins
    1323       97001 :             IF (gapw_xc) THEN
    1324             :                ! SIC not implemented (or at least not tested)
    1325        2738 :                CPASSERT(dft_control%sic_method_id == sic_none)
    1326             :                !Only the xc potential, because it has to be integrated with the soft basis
    1327        2738 :                CALL pw_scale(v_rspace_new(ispin), v_rspace_new(ispin)%pw_grid%dvol)
    1328             : 
    1329             :                ! add the xc  part due to v_rspace soft
    1330        2738 :                rho_ao => rho_ao_kp(ispin, :)
    1331        2738 :                ksmat => ks_matrix(ispin, :)
    1332             :                CALL integrate_v_rspace(v_rspace=v_rspace_new(ispin), &
    1333             :                                        pmat_kp=rho_ao, hmat_kp=ksmat, &
    1334             :                                        qs_env=qs_env, &
    1335             :                                        calculate_forces=calculate_forces, &
    1336        2738 :                                        gapw=gapw_xc)
    1337             : 
    1338             :                ! Now the Hartree potential to be integrated with the full basis
    1339        2738 :                CALL pw_copy(v_rspace, v_rspace_new(ispin))
    1340             :             ELSE
    1341             :                ! Add v_hartree + v_xc = v_rspace_new
    1342       94263 :                CALL pw_axpy(v_rspace, v_rspace_new(ispin), 1.0_dp, v_rspace_new(ispin)%pw_grid%dvol)
    1343             :             END IF ! gapw_xc
    1344       97001 :             IF (dft_control%qs_control%ddapc_explicit_potential) THEN
    1345         112 :                IF (dft_control%qs_control%ddapc_restraint_is_spin) THEN
    1346         112 :                   IF (ispin == 1) THEN
    1347          56 :                      CALL pw_axpy(v_spin_ddapc_rest_r, v_rspace_new(ispin), 1.0_dp)
    1348             :                   ELSE
    1349          56 :                      CALL pw_axpy(v_spin_ddapc_rest_r, v_rspace_new(ispin), -1.0_dp)
    1350             :                   END IF
    1351             :                ELSE
    1352           0 :                   CALL pw_axpy(v_spin_ddapc_rest_r, v_rspace_new(ispin), 1.0_dp)
    1353             :                END IF
    1354             :             END IF
    1355             :             ! CDFT constraint contribution
    1356       97001 :             IF (dft_control%qs_control%cdft) THEN
    1357       11336 :                DO igroup = 1, SIZE(cdft_control%group)
    1358        6644 :                   SELECT CASE (cdft_control%group(igroup)%constraint_type)
    1359             :                   CASE (cdft_charge_constraint)
    1360          16 :                      csign = 1.0_dp
    1361             :                   CASE (cdft_magnetization_constraint)
    1362          16 :                      IF (ispin == 1) THEN
    1363             :                         csign = 1.0_dp
    1364             :                      ELSE
    1365           8 :                         csign = -1.0_dp
    1366             :                      END IF
    1367             :                   CASE (cdft_alpha_constraint)
    1368        1944 :                      csign = 1.0_dp
    1369        1944 :                      IF (ispin == 2) CYCLE
    1370             :                   CASE (cdft_beta_constraint)
    1371        1944 :                      csign = 1.0_dp
    1372        1944 :                      IF (ispin == 1) CYCLE
    1373             :                   CASE DEFAULT
    1374        6644 :                      CPABORT("Unknown constraint type.")
    1375             :                   END SELECT
    1376             :                   CALL pw_axpy(cdft_control%group(igroup)%weight, v_rspace_new(ispin), &
    1377       11336 :                                csign*cdft_control%strength(igroup))
    1378             :                END DO
    1379             :             END IF
    1380             :             ! functional derivative of the Hartree energy wrt the density in the presence of dielectric
    1381             :             ! (vhartree + v_eps); v_eps is nonzero only if the dielectric constant is defind as a function
    1382             :             ! of the charge density
    1383       97001 :             IF (poisson_env%parameters%solver .EQ. pw_poisson_implicit) THEN
    1384         436 :                dvol = poisson_env%implicit_env%v_eps%pw_grid%dvol
    1385         436 :                CALL pw_axpy(poisson_env%implicit_env%v_eps, v_rspace_new(ispin), dvol)
    1386             :             END IF
    1387             :             ! Add SCCS contribution
    1388       97001 :             IF (dft_control%do_sccs) THEN
    1389         132 :                CALL pw_axpy(v_sccs_rspace, v_rspace_new(ispin))
    1390             :             END IF
    1391             :             ! External electrostatic potential
    1392       97001 :             IF (dft_control%apply_external_potential) THEN
    1393             :                CALL qmmm_modify_hartree_pot(v_hartree=v_rspace_new(ispin), &
    1394         364 :                                             v_qmmm=vee, scale=-1.0_dp)
    1395             :             END IF
    1396       97001 :             IF (do_ppl) THEN
    1397          66 :                CPASSERT(.NOT. gapw)
    1398          66 :                CALL pw_axpy(vppl_rspace, v_rspace_new(ispin), vppl_rspace%pw_grid%dvol)
    1399             :             END IF
    1400             :             ! the electrostatic sic contribution
    1401       97265 :             SELECT CASE (dft_control%sic_method_id)
    1402             :             CASE (sic_none)
    1403             :                !
    1404             :             CASE (sic_mauri_us, sic_mauri_spz)
    1405         264 :                IF (ispin == 1) THEN
    1406         132 :                   CALL pw_axpy(v_sic_rspace, v_rspace_new(ispin), -1.0_dp)
    1407             :                ELSE
    1408         132 :                   CALL pw_axpy(v_sic_rspace, v_rspace_new(ispin), 1.0_dp)
    1409             :                END IF
    1410             :             CASE (sic_ad)
    1411       97001 :                CALL pw_axpy(v_sic_rspace, v_rspace_new(ispin), -1.0_dp)
    1412             :             CASE (sic_eo)
    1413             :                ! NOTHING TO BE DONE
    1414             :             END SELECT
    1415             :             ! DFT embedding
    1416       97001 :             IF (dft_control%apply_embed_pot) THEN
    1417         930 :                CALL pw_axpy(v_rspace_embed(ispin), v_rspace_new(ispin), v_rspace_embed(ispin)%pw_grid%dvol)
    1418         930 :                CALL auxbas_pw_pool%give_back_pw(v_rspace_embed(ispin))
    1419             :             END IF
    1420       97001 :             IF (lrigpw) THEN
    1421         440 :                lri_v_int => lri_density%lri_coefs(ispin)%lri_kinds
    1422         440 :                CALL get_qs_env(qs_env, nkind=nkind, para_env=para_env)
    1423        1324 :                DO ikind = 1, nkind
    1424      289184 :                   lri_v_int(ikind)%v_int = 0.0_dp
    1425             :                END DO
    1426             :                CALL integrate_v_rspace_one_center(v_rspace_new(ispin), qs_env, &
    1427         440 :                                                   lri_v_int, calculate_forces, "LRI_AUX")
    1428        1324 :                DO ikind = 1, nkind
    1429      577044 :                   CALL para_env%sum(lri_v_int(ikind)%v_int)
    1430             :                END DO
    1431         440 :                IF (lri_env%exact_1c_terms) THEN
    1432          36 :                   rho_ao => my_rho(ispin, :)
    1433          36 :                   ksmat => ks_matrix(ispin, :)
    1434             :                   CALL integrate_v_rspace_diagonal(v_rspace_new(ispin), ksmat(1)%matrix, &
    1435             :                                                    rho_ao(1)%matrix, qs_env, &
    1436          36 :                                                    calculate_forces, "ORB")
    1437             :                END IF
    1438         440 :                IF (lri_env%ppl_ri) THEN
    1439           8 :                   CALL v_int_ppl_update(qs_env, lri_v_int, calculate_forces)
    1440             :                END IF
    1441       96561 :             ELSEIF (rigpw) THEN
    1442           0 :                lri_v_int => lri_density%lri_coefs(ispin)%lri_kinds
    1443           0 :                CALL get_qs_env(qs_env, nkind=nkind, para_env=para_env)
    1444           0 :                DO ikind = 1, nkind
    1445           0 :                   lri_v_int(ikind)%v_int = 0.0_dp
    1446             :                END DO
    1447             :                CALL integrate_v_rspace_one_center(v_rspace_new(ispin), qs_env, &
    1448           0 :                                                   lri_v_int, calculate_forces, "RI_HXC")
    1449           0 :                DO ikind = 1, nkind
    1450           0 :                   CALL para_env%sum(lri_v_int(ikind)%v_int)
    1451             :                END DO
    1452             :             ELSE
    1453       96561 :                rho_ao => my_rho(ispin, :)
    1454       96561 :                ksmat => ks_matrix(ispin, :)
    1455             :                CALL integrate_v_rspace(v_rspace=v_rspace_new(ispin), &
    1456             :                                        pmat_kp=rho_ao, hmat_kp=ksmat, &
    1457             :                                        qs_env=qs_env, &
    1458             :                                        calculate_forces=calculate_forces, &
    1459       96561 :                                        gapw=gapw)
    1460             :             END IF
    1461      178805 :             CALL auxbas_pw_pool%give_back_pw(v_rspace_new(ispin))
    1462             :          END DO ! ispin
    1463             : 
    1464       81952 :          SELECT CASE (dft_control%sic_method_id)
    1465             :          CASE (sic_none)
    1466             :          CASE (sic_mauri_us, sic_mauri_spz, sic_ad)
    1467         148 :             CALL auxbas_pw_pool%give_back_pw(v_sic_rspace)
    1468       81952 :             DEALLOCATE (v_sic_rspace)
    1469             :          END SELECT
    1470       81804 :          DEALLOCATE (v_rspace_new)
    1471             : 
    1472             :       ELSE
    1473             :          ! not implemented (or at least not tested)
    1474        9112 :          CPASSERT(dft_control%sic_method_id == sic_none)
    1475        9112 :          CPASSERT(.NOT. dft_control%qs_control%ddapc_restraint_is_spin)
    1476       20334 :          DO ispin = 1, nspins
    1477             :             ! extra contribution attributed to the dependency of the dielectric constant to the charge density
    1478       11222 :             IF (poisson_env%parameters%solver .EQ. pw_poisson_implicit) THEN
    1479           0 :                dvol = poisson_env%implicit_env%v_eps%pw_grid%dvol
    1480           0 :                CALL pw_axpy(poisson_env%implicit_env%v_eps, v_rspace, dvol)
    1481             :             END IF
    1482             :             ! Add SCCS contribution
    1483       11222 :             IF (dft_control%do_sccs) THEN
    1484           0 :                CALL pw_axpy(v_sccs_rspace, v_rspace)
    1485             :             END IF
    1486             :             ! DFT embedding
    1487       11222 :             IF (dft_control%apply_embed_pot) THEN
    1488          12 :                CALL pw_axpy(v_rspace_embed(ispin), v_rspace, v_rspace_embed(ispin)%pw_grid%dvol)
    1489          12 :                CALL auxbas_pw_pool%give_back_pw(v_rspace_embed(ispin))
    1490             :             END IF
    1491       20334 :             IF (lrigpw) THEN
    1492           0 :                lri_v_int => lri_density%lri_coefs(ispin)%lri_kinds
    1493           0 :                CALL get_qs_env(qs_env, nkind=nkind, para_env=para_env)
    1494           0 :                DO ikind = 1, nkind
    1495           0 :                   lri_v_int(ikind)%v_int = 0.0_dp
    1496             :                END DO
    1497             :                CALL integrate_v_rspace_one_center(v_rspace, qs_env, &
    1498           0 :                                                   lri_v_int, calculate_forces, "LRI_AUX")
    1499           0 :                DO ikind = 1, nkind
    1500           0 :                   CALL para_env%sum(lri_v_int(ikind)%v_int)
    1501             :                END DO
    1502           0 :                IF (lri_env%exact_1c_terms) THEN
    1503           0 :                   rho_ao => my_rho(ispin, :)
    1504           0 :                   ksmat => ks_matrix(ispin, :)
    1505             :                   CALL integrate_v_rspace_diagonal(v_rspace, ksmat(1)%matrix, &
    1506             :                                                    rho_ao(1)%matrix, qs_env, &
    1507           0 :                                                    calculate_forces, "ORB")
    1508             :                END IF
    1509           0 :                IF (lri_env%ppl_ri) THEN
    1510           0 :                   CALL v_int_ppl_update(qs_env, lri_v_int, calculate_forces)
    1511             :                END IF
    1512       11222 :             ELSEIF (rigpw) THEN
    1513           0 :                lri_v_int => lri_density%lri_coefs(ispin)%lri_kinds
    1514           0 :                CALL get_qs_env(qs_env, nkind=nkind, para_env=para_env)
    1515           0 :                DO ikind = 1, nkind
    1516           0 :                   lri_v_int(ikind)%v_int = 0.0_dp
    1517             :                END DO
    1518             :                CALL integrate_v_rspace_one_center(v_rspace, qs_env, &
    1519           0 :                                                   lri_v_int, calculate_forces, "RI_HXC")
    1520           0 :                DO ikind = 1, nkind
    1521           0 :                   CALL para_env%sum(lri_v_int(ikind)%v_int)
    1522             :                END DO
    1523             :             ELSE
    1524       11222 :                rho_ao => my_rho(ispin, :)
    1525       11222 :                ksmat => ks_matrix(ispin, :)
    1526             :                CALL integrate_v_rspace(v_rspace=v_rspace, &
    1527             :                                        pmat_kp=rho_ao, &
    1528             :                                        hmat_kp=ksmat, &
    1529             :                                        qs_env=qs_env, &
    1530             :                                        calculate_forces=calculate_forces, &
    1531       11222 :                                        gapw=gapw)
    1532             :             END IF
    1533             :          END DO
    1534             :       END IF ! ASSOCIATED(v_rspace_new)
    1535             : 
    1536             :       ! **** LRIGPW: KS matrix from integrated potential
    1537       90916 :       IF (lrigpw) THEN
    1538         428 :          CALL get_qs_env(qs_env, ks_env=ks_env)
    1539         428 :          CALL get_ks_env(ks_env=ks_env, kpoints=kpoints)
    1540         428 :          CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
    1541         868 :          DO ispin = 1, nspins
    1542         440 :             ksmat => ks_matrix(ispin, :)
    1543             :             CALL calculate_lri_ks_matrix(lri_env, lri_v_int, ksmat, atomic_kind_set, &
    1544         868 :                                          cell_to_index=cell_to_index)
    1545             :          END DO
    1546         428 :          IF (calculate_forces) THEN
    1547          22 :             CALL calculate_lri_forces(lri_env, lri_density, qs_env, rho_ao_kp, atomic_kind_set)
    1548             :          END IF
    1549       90488 :       ELSEIF (rigpw) THEN
    1550           0 :          CALL get_qs_env(qs_env, matrix_s=smat)
    1551           0 :          DO ispin = 1, nspins
    1552             :             CALL calculate_ri_ks_matrix(lri_env, lri_v_int, ks_matrix(ispin, 1)%matrix, &
    1553           0 :                                         smat(1)%matrix, atomic_kind_set, ispin)
    1554             :          END DO
    1555           0 :          IF (calculate_forces) THEN
    1556           0 :             rho_ao_nokp => rho_ao_kp(:, 1)
    1557           0 :             CALL calculate_ri_forces(lri_env, lri_density, qs_env, rho_ao_nokp, atomic_kind_set)
    1558             :          END IF
    1559             :       END IF
    1560             : 
    1561       90916 :       IF (ASSOCIATED(v_tau_rspace)) THEN
    1562        1762 :          IF (lrigpw .OR. rigpw) THEN
    1563           0 :             CPABORT("LRIGPW/RIGPW not implemented for meta-GGAs")
    1564             :          END IF
    1565        3882 :          DO ispin = 1, nspins
    1566        2120 :             CALL pw_scale(v_tau_rspace(ispin), v_tau_rspace(ispin)%pw_grid%dvol)
    1567             : 
    1568        2120 :             rho_ao => rho_ao_kp(ispin, :)
    1569        2120 :             ksmat => ks_matrix(ispin, :)
    1570             :             CALL integrate_v_rspace(v_rspace=v_tau_rspace(ispin), &
    1571             :                                     pmat_kp=rho_ao, hmat_kp=ksmat, &
    1572             :                                     qs_env=qs_env, &
    1573             :                                     calculate_forces=calculate_forces, compute_tau=.TRUE., &
    1574        2120 :                                     gapw=gapw)
    1575        3882 :             CALL auxbas_pw_pool%give_back_pw(v_tau_rspace(ispin))
    1576             :          END DO
    1577        1762 :          DEALLOCATE (v_tau_rspace)
    1578             :       END IF
    1579             : 
    1580             :       ! Add contributions from ADMM if requested
    1581       90916 :       IF (dft_control%do_admm) THEN
    1582        9296 :          CALL get_qs_env(qs_env, admm_env=admm_env)
    1583             :          CALL get_admm_env(admm_env, matrix_ks_aux_fit_kp=matrix_ks_aux_fit, rho_aux_fit=rho_aux_fit, &
    1584        9296 :                            matrix_ks_aux_fit_dft_kp=matrix_ks_aux_fit_dft)
    1585        9296 :          CALL qs_rho_get(rho_aux_fit, rho_ao_kp=rho_ao_aux)
    1586        9296 :          IF (ASSOCIATED(v_rspace_new_aux_fit)) THEN
    1587       14202 :             DO ispin = 1, nspins
    1588             :                ! Calculate the xc potential
    1589        7774 :                CALL pw_scale(v_rspace_new_aux_fit(ispin), v_rspace_new_aux_fit(ispin)%pw_grid%dvol)
    1590             : 
    1591             :                ! set matrix_ks_aux_fit_dft = matrix_ks_aux_fit(k_HF)
    1592       18248 :                DO img = 1, dft_control%nimages
    1593             :                   CALL dbcsr_copy(matrix_ks_aux_fit_dft(ispin, img)%matrix, matrix_ks_aux_fit(ispin, img)%matrix, &
    1594       18248 :                                   name="DFT exch. part of matrix_ks_aux_fit")
    1595             :                END DO
    1596             : 
    1597             :                ! Add potential to ks_matrix aux_fit, skip integration if no DFT correction
    1598             : 
    1599        7774 :                IF (admm_env%aux_exch_func .NE. do_admm_aux_exch_func_none) THEN
    1600             : 
    1601             :                   !GPW by default. IF GAPW, then take relevant task list and basis
    1602        7774 :                   CALL get_admm_env(admm_env, task_list_aux_fit=task_list)
    1603        7774 :                   basis_type = "AUX_FIT"
    1604        7774 :                   IF (admm_env%do_gapw) THEN
    1605        2010 :                      task_list => admm_env%admm_gapw_env%task_list
    1606        2010 :                      basis_type = "AUX_FIT_SOFT"
    1607             :                   END IF
    1608        7774 :                   fadm = 1.0_dp
    1609             :                   ! Calculate bare scaling of force according to Merlot, 1. IF: ADMMP, 2. IF: ADMMS,
    1610        7774 :                   IF (admm_env%do_admmp) THEN
    1611         222 :                      fadm = admm_env%gsi(ispin)**2
    1612        7552 :                   ELSE IF (admm_env%do_admms) THEN
    1613         384 :                      fadm = (admm_env%gsi(ispin))**(2.0_dp/3.0_dp)
    1614             :                   END IF
    1615             : 
    1616        7774 :                   rho_ao => rho_ao_aux(ispin, :)
    1617        7774 :                   ksmat => matrix_ks_aux_fit(ispin, :)
    1618             : 
    1619             :                   CALL integrate_v_rspace(v_rspace=v_rspace_new_aux_fit(ispin), &
    1620             :                                           pmat_kp=rho_ao, &
    1621             :                                           hmat_kp=ksmat, &
    1622             :                                           qs_env=qs_env, &
    1623             :                                           calculate_forces=calculate_forces, &
    1624             :                                           force_adm=fadm, &
    1625             :                                           gapw=.FALSE., & !even if actual GAPW calculation, want to use AUX_FIT_SOFT
    1626             :                                           basis_type=basis_type, &
    1627        7774 :                                           task_list_external=task_list)
    1628             :                END IF
    1629             : 
    1630             :                ! matrix_ks_aux_fit_dft(x_DFT)=matrix_ks_aux_fit_dft(old,k_HF)-matrix_ks_aux_fit(k_HF-x_DFT)
    1631       18248 :                DO img = 1, dft_control%nimages
    1632             :                   CALL dbcsr_add(matrix_ks_aux_fit_dft(ispin, img)%matrix, &
    1633       18248 :                                  matrix_ks_aux_fit(ispin, img)%matrix, 1.0_dp, -1.0_dp)
    1634             :                END DO
    1635             : 
    1636       14202 :                CALL auxbas_pw_pool%give_back_pw(v_rspace_new_aux_fit(ispin))
    1637             :             END DO
    1638        6428 :             DEALLOCATE (v_rspace_new_aux_fit)
    1639             :          END IF
    1640             :          ! Clean up v_tau_rspace_aux_fit, which is actually not needed
    1641        9296 :          IF (ASSOCIATED(v_tau_rspace_aux_fit)) THEN
    1642           0 :             DO ispin = 1, nspins
    1643           0 :                CALL auxbas_pw_pool%give_back_pw(v_tau_rspace_aux_fit(ispin))
    1644             :             END DO
    1645           0 :             DEALLOCATE (v_tau_rspace_aux_fit)
    1646             :          END IF
    1647             :       END IF
    1648             : 
    1649       90916 :       IF (dft_control%apply_embed_pot) DEALLOCATE (v_rspace_embed)
    1650             : 
    1651       90916 :       CALL timestop(handle)
    1652             : 
    1653       90916 :    END SUBROUTINE sum_up_and_integrate
    1654             : 
    1655             : !**************************************************************************
    1656             : !> \brief Calculate the ZMP potential and energy as in Zhao, Morrison Parr
    1657             : !> PRA 50i, 2138 (1994)
    1658             : !> V_c^\lambda defined as int_rho-rho_0/r-r' or rho-rho_0 times a Lagrange
    1659             : !> multiplier, plus Fermi-Amaldi potential that should give the V_xc in the
    1660             : !> limit \lambda --> \infty
    1661             : !>
    1662             : !> \param qs_env ...
    1663             : !> \param v_rspace_new ...
    1664             : !> \param rho ...
    1665             : !> \param exc ...
    1666             : !> \author D. Varsano  [daniele.varsano@nano.cnr.it]
    1667             : ! **************************************************************************************************
    1668           0 :    SUBROUTINE calculate_zmp_potential(qs_env, v_rspace_new, rho, exc)
    1669             : 
    1670             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1671             :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: v_rspace_new
    1672             :       TYPE(qs_rho_type), POINTER                         :: rho
    1673             :       REAL(KIND=dp)                                      :: exc
    1674             : 
    1675             :       CHARACTER(*), PARAMETER :: routineN = 'calculate_zmp_potential'
    1676             : 
    1677             :       INTEGER                                            :: handle, my_val, nelectron, nspins
    1678             :       INTEGER, DIMENSION(2)                              :: nelectron_spin
    1679             :       LOGICAL                                            :: do_zmp_read, fermi_amaldi
    1680             :       REAL(KIND=dp)                                      :: lambda
    1681           0 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: tot_rho_ext_r
    1682             :       TYPE(dft_control_type), POINTER                    :: dft_control
    1683           0 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_ext_g, rho_g
    1684             :       TYPE(pw_env_type), POINTER                         :: pw_env
    1685             :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
    1686             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
    1687             :       TYPE(pw_r3d_rs_type)                               :: v_xc_rspace
    1688           0 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r
    1689             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    1690             :       TYPE(section_vals_type), POINTER                   :: ext_den_section, input
    1691             : 
    1692             : !, v_h_gspace, &
    1693             : 
    1694           0 :       CALL timeset(routineN, handle)
    1695           0 :       NULLIFY (auxbas_pw_pool)
    1696           0 :       NULLIFY (pw_env)
    1697           0 :       NULLIFY (poisson_env)
    1698           0 :       NULLIFY (v_rspace_new)
    1699           0 :       NULLIFY (dft_control)
    1700           0 :       NULLIFY (rho_r, rho_g, tot_rho_ext_r, rho_ext_g)
    1701             :       CALL get_qs_env(qs_env=qs_env, &
    1702             :                       pw_env=pw_env, &
    1703             :                       ks_env=ks_env, &
    1704             :                       rho=rho, &
    1705             :                       input=input, &
    1706             :                       nelectron_spin=nelectron_spin, &
    1707           0 :                       dft_control=dft_control)
    1708             :       CALL pw_env_get(pw_env=pw_env, &
    1709             :                       auxbas_pw_pool=auxbas_pw_pool, &
    1710           0 :                       poisson_env=poisson_env)
    1711           0 :       CALL qs_rho_get(rho, rho_r=rho_r, rho_g=rho_g)
    1712           0 :       nspins = 1
    1713           0 :       ALLOCATE (v_rspace_new(nspins))
    1714           0 :       CALL auxbas_pw_pool%create_pw(pw=v_rspace_new(1))
    1715           0 :       CALL auxbas_pw_pool%create_pw(pw=v_xc_rspace)
    1716             : 
    1717           0 :       CALL pw_zero(v_rspace_new(1))
    1718           0 :       do_zmp_read = dft_control%apply_external_vxc
    1719           0 :       IF (do_zmp_read) THEN
    1720           0 :          CALL pw_copy(qs_env%external_vxc, v_rspace_new(1))
    1721             :          exc = accurate_dot_product(v_rspace_new(1)%array, rho_r(1)%array)* &
    1722           0 :                v_rspace_new(1)%pw_grid%dvol
    1723             :       ELSE
    1724           0 :          BLOCK
    1725             :             REAL(KIND=dp)                                      :: factor
    1726             :             TYPE(pw_c1d_gs_type) :: rho_eff_gspace, v_xc_gspace
    1727           0 :             CALL auxbas_pw_pool%create_pw(pw=rho_eff_gspace)
    1728           0 :             CALL auxbas_pw_pool%create_pw(pw=v_xc_gspace)
    1729           0 :             CALL pw_zero(rho_eff_gspace)
    1730           0 :             CALL pw_zero(v_xc_gspace)
    1731           0 :             CALL pw_zero(v_xc_rspace)
    1732           0 :             factor = pw_integrate_function(rho_g(1))
    1733             :             CALL qs_rho_get(qs_env%rho_external, &
    1734             :                             rho_g=rho_ext_g, &
    1735           0 :                             tot_rho_r=tot_rho_ext_r)
    1736           0 :             factor = tot_rho_ext_r(1)/factor
    1737             : 
    1738           0 :             CALL pw_axpy(rho_g(1), rho_eff_gspace, alpha=factor)
    1739           0 :             CALL pw_axpy(rho_ext_g(1), rho_eff_gspace, alpha=-1.0_dp)
    1740           0 :             ext_den_section => section_vals_get_subs_vals(input, "DFT%EXTERNAL_DENSITY")
    1741           0 :             CALL section_vals_val_get(ext_den_section, "LAMBDA", r_val=lambda)
    1742           0 :             CALL section_vals_val_get(ext_den_section, "ZMP_CONSTRAINT", i_val=my_val)
    1743           0 :             CALL section_vals_val_get(ext_den_section, "FERMI_AMALDI", l_val=fermi_amaldi)
    1744             : 
    1745           0 :             CALL pw_scale(rho_eff_gspace, a=lambda)
    1746           0 :             nelectron = nelectron_spin(1)
    1747           0 :             factor = -1.0_dp/nelectron
    1748           0 :             CALL pw_axpy(rho_g(1), rho_eff_gspace, alpha=factor)
    1749             : 
    1750           0 :             CALL pw_poisson_solve(poisson_env, rho_eff_gspace, vhartree=v_xc_gspace)
    1751           0 :             CALL pw_transfer(v_xc_gspace, v_rspace_new(1))
    1752           0 :             CALL pw_copy(v_rspace_new(1), v_xc_rspace)
    1753             : 
    1754           0 :             exc = 0.0_dp
    1755           0 :             exc = pw_integral_ab(v_rspace_new(1), rho_r(1))
    1756             : 
    1757             : !Note that this is not the xc energy but \int(\rho*v_xc)
    1758             : !Vxc---> v_rspace_new
    1759             : !Exc---> energy%exc
    1760           0 :             CALL auxbas_pw_pool%give_back_pw(rho_eff_gspace)
    1761           0 :             CALL auxbas_pw_pool%give_back_pw(v_xc_gspace)
    1762             :          END BLOCK
    1763             :       END IF
    1764             : 
    1765           0 :       CALL auxbas_pw_pool%give_back_pw(v_xc_rspace)
    1766             : 
    1767           0 :       CALL timestop(handle)
    1768             : 
    1769           0 :    END SUBROUTINE calculate_zmp_potential
    1770             : 
    1771             : ! **************************************************************************************************
    1772             : !> \brief ...
    1773             : !> \param qs_env ...
    1774             : !> \param rho ...
    1775             : !> \param v_rspace_embed ...
    1776             : !> \param dft_control ...
    1777             : !> \param embed_corr ...
    1778             : !> \param just_energy ...
    1779             : ! **************************************************************************************************
    1780         868 :    SUBROUTINE get_embed_potential_energy(qs_env, rho, v_rspace_embed, dft_control, embed_corr, &
    1781             :                                          just_energy)
    1782             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1783             :       TYPE(qs_rho_type), POINTER                         :: rho
    1784             :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: v_rspace_embed
    1785             :       TYPE(dft_control_type), POINTER                    :: dft_control
    1786             :       REAL(KIND=dp)                                      :: embed_corr
    1787             :       LOGICAL                                            :: just_energy
    1788             : 
    1789             :       CHARACTER(*), PARAMETER :: routineN = 'get_embed_potential_energy'
    1790             : 
    1791             :       INTEGER                                            :: handle, ispin
    1792             :       REAL(KIND=dp)                                      :: embed_corr_local
    1793             :       TYPE(pw_env_type), POINTER                         :: pw_env
    1794             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
    1795         868 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r
    1796             : 
    1797         868 :       CALL timeset(routineN, handle)
    1798             : 
    1799         868 :       NULLIFY (auxbas_pw_pool)
    1800         868 :       NULLIFY (pw_env)
    1801         868 :       NULLIFY (rho_r)
    1802             :       CALL get_qs_env(qs_env=qs_env, &
    1803             :                       pw_env=pw_env, &
    1804         868 :                       rho=rho)
    1805             :       CALL pw_env_get(pw_env=pw_env, &
    1806         868 :                       auxbas_pw_pool=auxbas_pw_pool)
    1807         868 :       CALL qs_rho_get(rho, rho_r=rho_r)
    1808        3952 :       ALLOCATE (v_rspace_embed(dft_control%nspins))
    1809             : 
    1810         868 :       embed_corr = 0.0_dp
    1811             : 
    1812        2216 :       DO ispin = 1, dft_control%nspins
    1813        1348 :          CALL auxbas_pw_pool%create_pw(pw=v_rspace_embed(ispin))
    1814        1348 :          CALL pw_zero(v_rspace_embed(ispin))
    1815             : 
    1816        1348 :          CALL pw_copy(qs_env%embed_pot, v_rspace_embed(ispin))
    1817        1348 :          embed_corr_local = 0.0_dp
    1818             : 
    1819             :          ! Spin embedding potential in open-shell case
    1820        1348 :          IF (dft_control%nspins .EQ. 2) THEN
    1821         960 :             IF (ispin .EQ. 1) CALL pw_axpy(qs_env%spin_embed_pot, v_rspace_embed(ispin), 1.0_dp)
    1822         960 :             IF (ispin .EQ. 2) CALL pw_axpy(qs_env%spin_embed_pot, v_rspace_embed(ispin), -1.0_dp)
    1823             :          END IF
    1824             :          ! Integrate the density*potential
    1825        1348 :          embed_corr_local = pw_integral_ab(v_rspace_embed(ispin), rho_r(ispin))
    1826             : 
    1827        2216 :          embed_corr = embed_corr + embed_corr_local
    1828             : 
    1829             :       END DO
    1830             : 
    1831             :       ! If only energy requiested we delete the potential
    1832         868 :       IF (just_energy) THEN
    1833         692 :          DO ispin = 1, dft_control%nspins
    1834         692 :             CALL auxbas_pw_pool%give_back_pw(v_rspace_embed(ispin))
    1835             :          END DO
    1836         286 :          DEALLOCATE (v_rspace_embed)
    1837             :       END IF
    1838             : 
    1839         868 :       CALL timestop(handle)
    1840             : 
    1841         868 :    END SUBROUTINE get_embed_potential_energy
    1842             : 
    1843             : END MODULE qs_ks_utils

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