LCOV - code coverage report
Current view: top level - src - qs_linres_current.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:4dc10b3) Lines: 1183 1286 92.0 %
Date: 2024-11-21 06:45:46 Functions: 13 14 92.9 %

          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 given the response wavefunctions obtained by the application
      10             : !>      of the (rxp), p, and ((dk-dl)xp) operators,
      11             : !>      here the current density vector (jx, jy, jz)
      12             : !>      is computed for the 3 directions of the magnetic field (Bx, By, Bz)
      13             : !> \par History
      14             : !>      created 02-2006 [MI]
      15             : !> \author MI
      16             : ! **************************************************************************************************
      17             : MODULE qs_linres_current
      18             :    USE ao_util,                         ONLY: exp_radius_very_extended
      19             :    USE basis_set_types,                 ONLY: get_gto_basis_set,&
      20             :                                               gto_basis_set_p_type,&
      21             :                                               gto_basis_set_type
      22             :    USE cell_types,                      ONLY: cell_type,&
      23             :                                               pbc
      24             :    USE cp_array_utils,                  ONLY: cp_2d_i_p_type,&
      25             :                                               cp_2d_r_p_type
      26             :    USE cp_control_types,                ONLY: dft_control_type
      27             :    USE cp_dbcsr_api,                    ONLY: &
      28             :         dbcsr_add_block_node, dbcsr_convert_offsets_to_sizes, dbcsr_copy, dbcsr_create, &
      29             :         dbcsr_deallocate_matrix, dbcsr_distribution_type, dbcsr_finalize, dbcsr_get_block_p, &
      30             :         dbcsr_p_type, dbcsr_set, dbcsr_type, dbcsr_type_antisymmetric, dbcsr_type_no_symmetry
      31             :    USE cp_dbcsr_cp2k_link,              ONLY: cp_dbcsr_alloc_block_from_nbl
      32             :    USE cp_dbcsr_operations,             ONLY: cp_dbcsr_plus_fm_fm_t,&
      33             :                                               cp_dbcsr_sm_fm_multiply,&
      34             :                                               dbcsr_allocate_matrix_set,&
      35             :                                               dbcsr_deallocate_matrix_set
      36             :    USE cp_fm_basic_linalg,              ONLY: cp_fm_scale_and_add,&
      37             :                                               cp_fm_trace
      38             :    USE cp_fm_struct,                    ONLY: cp_fm_struct_create,&
      39             :                                               cp_fm_struct_release,&
      40             :                                               cp_fm_struct_type
      41             :    USE cp_fm_types,                     ONLY: cp_fm_create,&
      42             :                                               cp_fm_release,&
      43             :                                               cp_fm_set_all,&
      44             :                                               cp_fm_to_fm,&
      45             :                                               cp_fm_type
      46             :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      47             :                                               cp_logger_get_default_io_unit,&
      48             :                                               cp_logger_type,&
      49             :                                               cp_to_string
      50             :    USE cp_output_handling,              ONLY: cp_p_file,&
      51             :                                               cp_print_key_finished_output,&
      52             :                                               cp_print_key_should_output,&
      53             :                                               cp_print_key_unit_nr
      54             :    USE cp_realspace_grid_cube,          ONLY: cp_pw_to_cube
      55             :    USE cube_utils,                      ONLY: compute_cube_center,&
      56             :                                               cube_info_type,&
      57             :                                               return_cube
      58             :    USE gaussian_gridlevels,             ONLY: gridlevel_info_type
      59             :    USE grid_api,                        ONLY: &
      60             :         GRID_FUNC_AB, GRID_FUNC_ADBmDAB_X, GRID_FUNC_ADBmDAB_Y, GRID_FUNC_ADBmDAB_Z, &
      61             :         GRID_FUNC_ARDBmDARB_XX, GRID_FUNC_ARDBmDARB_XY, GRID_FUNC_ARDBmDARB_XZ, &
      62             :         GRID_FUNC_ARDBmDARB_YX, GRID_FUNC_ARDBmDARB_YY, GRID_FUNC_ARDBmDARB_YZ, &
      63             :         GRID_FUNC_ARDBmDARB_ZX, GRID_FUNC_ARDBmDARB_ZY, GRID_FUNC_ARDBmDARB_ZZ, &
      64             :         collocate_pgf_product
      65             :    USE input_constants,                 ONLY: current_gauge_atom
      66             :    USE input_section_types,             ONLY: section_get_ivals,&
      67             :                                               section_get_lval,&
      68             :                                               section_vals_get_subs_vals,&
      69             :                                               section_vals_type
      70             :    USE kinds,                           ONLY: default_path_length,&
      71             :                                               default_string_length,&
      72             :                                               dp
      73             :    USE mathconstants,                   ONLY: twopi
      74             :    USE memory_utilities,                ONLY: reallocate
      75             :    USE message_passing,                 ONLY: mp_para_env_type
      76             :    USE orbital_pointers,                ONLY: ncoset
      77             :    USE particle_list_types,             ONLY: particle_list_type
      78             :    USE particle_methods,                ONLY: get_particle_set
      79             :    USE particle_types,                  ONLY: particle_type
      80             :    USE pw_env_types,                    ONLY: pw_env_get,&
      81             :                                               pw_env_type
      82             :    USE pw_methods,                      ONLY: pw_axpy,&
      83             :                                               pw_integrate_function,&
      84             :                                               pw_scale,&
      85             :                                               pw_zero
      86             :    USE pw_pool_types,                   ONLY: pw_pool_type
      87             :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      88             :                                               pw_r3d_rs_type
      89             :    USE qs_environment_types,            ONLY: get_qs_env,&
      90             :                                               qs_environment_type
      91             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      92             :                                               get_qs_kind_set,&
      93             :                                               qs_kind_type
      94             :    USE qs_linres_atom_current,          ONLY: calculate_jrho_atom,&
      95             :                                               calculate_jrho_atom_coeff,&
      96             :                                               calculate_jrho_atom_rad
      97             :    USE qs_linres_op,                    ONLY: fac_vecp,&
      98             :                                               fm_scale_by_pbc_AC,&
      99             :                                               ind_m2,&
     100             :                                               set_vecp,&
     101             :                                               set_vecp_rev
     102             :    USE qs_linres_types,                 ONLY: current_env_type,&
     103             :                                               get_current_env
     104             :    USE qs_matrix_pools,                 ONLY: qs_matrix_pools_type
     105             :    USE qs_mo_types,                     ONLY: get_mo_set,&
     106             :                                               mo_set_type
     107             :    USE qs_neighbor_list_types,          ONLY: get_iterator_info,&
     108             :                                               neighbor_list_iterate,&
     109             :                                               neighbor_list_iterator_create,&
     110             :                                               neighbor_list_iterator_p_type,&
     111             :                                               neighbor_list_iterator_release,&
     112             :                                               neighbor_list_set_p_type
     113             :    USE qs_operators_ao,                 ONLY: build_lin_mom_matrix,&
     114             :                                               rRc_xyz_der_ao
     115             :    USE qs_rho_types,                    ONLY: qs_rho_get
     116             :    USE qs_subsys_types,                 ONLY: qs_subsys_get,&
     117             :                                               qs_subsys_type
     118             :    USE realspace_grid_types,            ONLY: realspace_grid_desc_p_type,&
     119             :                                               realspace_grid_desc_type,&
     120             :                                               realspace_grid_type,&
     121             :                                               rs_grid_create,&
     122             :                                               rs_grid_mult_and_add,&
     123             :                                               rs_grid_release,&
     124             :                                               rs_grid_zero
     125             :    USE rs_pw_interface,                 ONLY: density_rs2pw
     126             :    USE task_list_methods,               ONLY: distribute_tasks,&
     127             :                                               rs_distribute_matrix,&
     128             :                                               task_list_inner_loop
     129             :    USE task_list_types,                 ONLY: atom_pair_type,&
     130             :                                               reallocate_tasks,&
     131             :                                               task_type
     132             : #include "./base/base_uses.f90"
     133             : 
     134             :    IMPLICIT NONE
     135             : 
     136             :    PRIVATE
     137             : 
     138             :    ! *** Public subroutines ***
     139             :    PUBLIC :: current_build_current, current_build_chi, calculate_jrho_resp
     140             : 
     141             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_linres_current'
     142             : 
     143             :    TYPE box_type
     144             :       INTEGER :: n = -1
     145             :       REAL(dp), POINTER, DIMENSION(:, :) :: r => NULL()
     146             :    END TYPE box_type
     147             :    REAL(dp), DIMENSION(3, 3, 3), PARAMETER  :: Levi_Civita = RESHAPE((/ &
     148             :                                                           0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, -1.0_dp, 0.0_dp, 1.0_dp, 0.0_dp, &
     149             :                                                           0.0_dp, 0.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, -1.0_dp, 0.0_dp, 0.0_dp, &
     150             :                                              0.0_dp, -1.0_dp, 0.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp/), (/3, 3, 3/))
     151             : 
     152             : CONTAINS
     153             : 
     154             : ! **************************************************************************************************
     155             : !> \brief First calculate the density matrixes, for each component of the current
     156             : !>       they are 3 because of the r dependent terms
     157             : !>       Next it collocates on the grid to have J(r)
     158             : !>       In the GAPW case one need to collocate on the PW grid only the soft part
     159             : !>       while the rest goes on Lebedev grids
     160             : !>       The contributions to the shift and to the susceptibility will be
     161             : !>       calculated separately and added only at the end
     162             : !>       The calculation of the shift tensor is performed on the position of the atoms
     163             : !>       and on other selected points in real space summing up the contributions
     164             : !>       from the PW grid current density and the local densities
     165             : !>       Spline interpolation is used
     166             : !> \param current_env ...
     167             : !> \param qs_env ...
     168             : !> \param iB ...
     169             : !> \author MI
     170             : !> \note
     171             : !>       The susceptibility is needed to compute the G=0 term of the shift
     172             : !>       in reciprocal space. \chi_{ij} = \int (r x Jj)_i
     173             : !>       (where Jj id the current density generated by the field in direction j)
     174             : !>       To calculate the susceptibility on the PW grids it is necessary to apply
     175             : !>       the position operator yet another time.
     176             : !>       This cannot be done on directly on the full J(r) because it is not localized
     177             : !>       Therefore it is done state by state (see linres_nmr_shift)
     178             : ! **************************************************************************************************
     179         522 :    SUBROUTINE current_build_current(current_env, qs_env, iB)
     180             :       !
     181             :       TYPE(current_env_type)                             :: current_env
     182             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     183             :       INTEGER, INTENT(IN)                                :: iB
     184             : 
     185             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'current_build_current'
     186             : 
     187             :       CHARACTER(LEN=default_path_length)                 :: ext, filename, my_pos
     188             :       INTEGER                                            :: handle, idir, iiB, iiiB, ispin, istate, &
     189             :                                                             j, jstate, nao, natom, nmo, nspins, &
     190             :                                                             nstates(2), output_unit, unit_nr
     191         522 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: first_sgf, last_sgf
     192         522 :       INTEGER, DIMENSION(:), POINTER                     :: row_blk_sizes
     193             :       LOGICAL                                            :: append_cube, gapw, mpi_io
     194             :       REAL(dp)                                           :: dk(3), jrho_tot_G(3, 3), &
     195             :                                                             jrho_tot_R(3, 3), maxocc, scale_fac
     196         522 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: ddk
     197             :       REAL(dp), EXTERNAL                                 :: DDOT
     198             :       TYPE(cell_type), POINTER                           :: cell
     199         522 :       TYPE(cp_2d_i_p_type), DIMENSION(:), POINTER        :: center_list
     200         522 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: p_psi1, psi1
     201         522 :       TYPE(cp_fm_type), DIMENSION(:), POINTER            :: psi0_order
     202         522 :       TYPE(cp_fm_type), DIMENSION(:, :), POINTER         :: psi1_D, psi1_p, psi1_rxp
     203             :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     204             :       TYPE(cp_logger_type), POINTER                      :: logger
     205             :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
     206         522 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: density_matrix0, density_matrix_a, &
     207         522 :                                                             density_matrix_ii, density_matrix_iii
     208             :       TYPE(dft_control_type), POINTER                    :: dft_control
     209         522 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     210             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     211             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     212         522 :          POINTER                                         :: sab_all
     213             :       TYPE(particle_list_type), POINTER                  :: particles
     214         522 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     215         522 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: jrho1_g
     216             :       TYPE(pw_env_type), POINTER                         :: pw_env
     217             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     218             :       TYPE(pw_r3d_rs_type)                               :: wf_r
     219         522 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: jrho1_r
     220         522 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     221             :       TYPE(qs_matrix_pools_type), POINTER                :: mpools
     222             :       TYPE(qs_subsys_type), POINTER                      :: subsys
     223             :       TYPE(realspace_grid_desc_type), POINTER            :: auxbas_rs_desc
     224             :       TYPE(section_vals_type), POINTER                   :: current_section
     225             : 
     226         522 :       CALL timeset(routineN, handle)
     227             :       !
     228         522 :       NULLIFY (logger, current_section, density_matrix0, density_matrix_a, &
     229         522 :                density_matrix_ii, density_matrix_iii, cell, dft_control, mos, &
     230         522 :                particle_set, pw_env, auxbas_rs_desc, auxbas_pw_pool, &
     231         522 :                para_env, center_list, mo_coeff, jrho1_r, jrho1_g, &
     232         522 :                psi1_p, psi1_D, psi1_rxp, sab_all, qs_kind_set)
     233             : 
     234         522 :       logger => cp_get_default_logger()
     235         522 :       output_unit = cp_logger_get_default_io_unit(logger)
     236             :       !
     237             :       !
     238             :       CALL get_current_env(current_env=current_env, &
     239             :                            center_list=center_list, &
     240             :                            psi1_rxp=psi1_rxp, &
     241             :                            psi1_D=psi1_D, &
     242             :                            psi1_p=psi1_p, &
     243             :                            psi0_order=psi0_order, &
     244             :                            nstates=nstates, &
     245         522 :                            nao=nao)
     246             :       !
     247             :       !
     248             :       CALL get_qs_env(qs_env=qs_env, &
     249             :                       cell=cell, &
     250             :                       dft_control=dft_control, &
     251             :                       mos=mos, &
     252             :                       mpools=mpools, &
     253             :                       pw_env=pw_env, &
     254             :                       para_env=para_env, &
     255             :                       subsys=subsys, &
     256             :                       sab_all=sab_all, &
     257             :                       particle_set=particle_set, &
     258             :                       qs_kind_set=qs_kind_set, &
     259         522 :                       dbcsr_dist=dbcsr_dist)
     260             : 
     261         522 :       CALL qs_subsys_get(subsys, particles=particles)
     262             : 
     263         522 :       gapw = dft_control%qs_control%gapw
     264         522 :       nspins = dft_control%nspins
     265         522 :       natom = SIZE(particle_set, 1)
     266             :       !
     267             :       ! allocate temporary arrays
     268        3588 :       ALLOCATE (psi1(nspins), p_psi1(nspins))
     269        1272 :       DO ispin = 1, nspins
     270         750 :          CALL cp_fm_create(psi1(ispin), psi0_order(ispin)%matrix_struct)
     271         750 :          CALL cp_fm_create(p_psi1(ispin), psi0_order(ispin)%matrix_struct)
     272         750 :          CALL cp_fm_set_all(psi1(ispin), 0.0_dp)
     273        1272 :          CALL cp_fm_set_all(p_psi1(ispin), 0.0_dp)
     274             :       END DO
     275             :       !
     276             :       !
     277         522 :       CALL dbcsr_allocate_matrix_set(density_matrix0, nspins)
     278         522 :       CALL dbcsr_allocate_matrix_set(density_matrix_a, nspins)
     279         522 :       CALL dbcsr_allocate_matrix_set(density_matrix_ii, nspins)
     280         522 :       CALL dbcsr_allocate_matrix_set(density_matrix_iii, nspins)
     281             :       !
     282             :       ! prepare for allocation
     283        1566 :       ALLOCATE (first_sgf(natom))
     284        1044 :       ALLOCATE (last_sgf(natom))
     285             :       CALL get_particle_set(particle_set, qs_kind_set, &
     286             :                             first_sgf=first_sgf, &
     287         522 :                             last_sgf=last_sgf)
     288        1044 :       ALLOCATE (row_blk_sizes(natom))
     289         522 :       CALL dbcsr_convert_offsets_to_sizes(first_sgf, row_blk_sizes, last_sgf)
     290         522 :       DEALLOCATE (first_sgf)
     291         522 :       DEALLOCATE (last_sgf)
     292             :       !
     293             :       !
     294        1272 :       DO ispin = 1, nspins
     295             :          !
     296             :          !density_matrix0
     297         750 :          ALLOCATE (density_matrix0(ispin)%matrix)
     298             :          CALL dbcsr_create(matrix=density_matrix0(ispin)%matrix, &
     299             :                            name="density_matrix0", &
     300             :                            dist=dbcsr_dist, matrix_type=dbcsr_type_no_symmetry, &
     301             :                            row_blk_size=row_blk_sizes, col_blk_size=row_blk_sizes, &
     302         750 :                            nze=0, mutable_work=.TRUE.)
     303         750 :          CALL cp_dbcsr_alloc_block_from_nbl(density_matrix0(ispin)%matrix, sab_all)
     304             :          !
     305             :          !density_matrix_a
     306         750 :          ALLOCATE (density_matrix_a(ispin)%matrix)
     307             :          CALL dbcsr_copy(density_matrix_a(ispin)%matrix, density_matrix0(ispin)%matrix, &
     308         750 :                          name="density_matrix_a")
     309             :          !
     310             :          !density_matrix_ii
     311         750 :          ALLOCATE (density_matrix_ii(ispin)%matrix)
     312             :          CALL dbcsr_copy(density_matrix_ii(ispin)%matrix, density_matrix0(ispin)%matrix, &
     313         750 :                          name="density_matrix_ii")
     314             :          !
     315             :          !density_matrix_iii
     316         750 :          ALLOCATE (density_matrix_iii(ispin)%matrix)
     317             :          CALL dbcsr_copy(density_matrix_iii(ispin)%matrix, density_matrix0(ispin)%matrix, &
     318        1272 :                          name="density_matrix_iii")
     319             :       END DO
     320             :       !
     321         522 :       DEALLOCATE (row_blk_sizes)
     322             :       !
     323             :       !
     324         522 :       current_section => section_vals_get_subs_vals(qs_env%input, "PROPERTIES%LINRES%CURRENT")
     325             :       !
     326             :       !
     327         522 :       jrho_tot_G = 0.0_dp
     328         522 :       jrho_tot_R = 0.0_dp
     329             :       !
     330             :       ! Lets go!
     331         522 :       CALL set_vecp(iB, iiB, iiiB)
     332        1272 :       DO ispin = 1, nspins
     333         750 :          nmo = nstates(ispin)
     334         750 :          mo_coeff => psi0_order(ispin)
     335             :          !maxocc = max_occ(ispin)
     336             :          !
     337         750 :          CALL get_mo_set(mo_set=mos(ispin), maxocc=maxocc)
     338             :          !
     339             :          !
     340             :          ! Build the first density matrix
     341         750 :          CALL dbcsr_set(density_matrix0(ispin)%matrix, 0.0_dp)
     342             :          CALL cp_dbcsr_plus_fm_fm_t(sparse_matrix=density_matrix0(ispin)%matrix, &
     343             :                                     matrix_v=mo_coeff, matrix_g=mo_coeff, &
     344         750 :                                     ncol=nmo, alpha=maxocc)
     345             :          !
     346             :          ! Allocate buffer vectors
     347        2250 :          ALLOCATE (ddk(3, nmo))
     348             :          !
     349             :          ! Construct the 3 density matrices for the field in direction iB
     350             :          !
     351             :          ! First the full matrix psi_a_iB
     352             :          ASSOCIATE (psi_a_iB => psi1(ispin), psi_buf => p_psi1(ispin))
     353         750 :             CALL cp_fm_set_all(psi_a_iB, 0.0_dp)
     354         750 :             CALL cp_fm_set_all(psi_buf, 0.0_dp)
     355             :             ! psi_a_iB = - (R_\nu-dk)_ii psi1_piiiB + (R_\nu-dk)_iii psi1_piiB
     356             :             !
     357             :             ! contributions from the response psi1_p_ii and psi1_p_iii
     358        4500 :             DO istate = 1, current_env%nbr_center(ispin)
     359       15000 :                dk(1:3) = current_env%centers_set(ispin)%array(1:3, istate)
     360             :                !
     361             :                ! Copy the vector in the full matrix psi1
     362             :                !nstate_loc = center_list(ispin)%array(1,icenter+1)-center_list(ispin)%array(1,icenter)
     363        9294 :                DO j = center_list(ispin)%array(1, istate), center_list(ispin)%array(1, istate + 1) - 1
     364        4794 :                   jstate = center_list(ispin)%array(2, j)
     365        4794 :                   CALL cp_fm_to_fm(psi1_p(ispin, iiB), psi_a_iB, 1, jstate, jstate)
     366        4794 :                   CALL cp_fm_to_fm(psi1_p(ispin, iiiB), psi_buf, 1, jstate, jstate)
     367       22926 :                   ddk(:, jstate) = dk(1:3)
     368             :                END DO
     369             :             END DO ! istate
     370         750 :             CALL fm_scale_by_pbc_AC(psi_a_iB, current_env%basisfun_center, ddk, cell, iiiB)
     371         750 :             CALL fm_scale_by_pbc_AC(psi_buf, current_env%basisfun_center, ddk, cell, iiB)
     372         750 :             CALL cp_fm_scale_and_add(-1.0_dp, psi_a_iB, 1.0_dp, psi_buf)
     373             :             !
     374             :             !psi_a_iB = psi_a_iB + psi1_rxp
     375             :             !
     376             :             ! contribution from the response psi1_rxp
     377         750 :             CALL cp_fm_scale_and_add(-1.0_dp, psi_a_iB, 1.0_dp, psi1_rxp(ispin, iB))
     378             :             !
     379             :             !psi_a_iB = psi_a_iB - psi1_D
     380         750 :             IF (current_env%full) THEN
     381             :                !
     382             :                ! contribution from the response psi1_D
     383         618 :                CALL cp_fm_scale_and_add(1.0_dp, psi_a_iB, -1.0_dp, psi1_D(ispin, iB))
     384             :             END IF
     385             :             !
     386             :             ! Multiply by the occupation number for the density matrix
     387             :             !
     388             :             ! Build the first density matrix
     389         750 :             CALL dbcsr_set(density_matrix_a(ispin)%matrix, 0.0_dp)
     390             :             CALL cp_dbcsr_plus_fm_fm_t(sparse_matrix=density_matrix_a(ispin)%matrix, &
     391             :                                        matrix_v=mo_coeff, matrix_g=psi_a_iB, &
     392        1500 :                                        ncol=nmo, alpha=maxocc)
     393             :          END ASSOCIATE
     394             :          !
     395             :          ! Build the second density matrix
     396         750 :          CALL dbcsr_set(density_matrix_iii(ispin)%matrix, 0.0_dp)
     397             :          CALL cp_dbcsr_plus_fm_fm_t(sparse_matrix=density_matrix_iii(ispin)%matrix, &
     398             :                                     matrix_v=mo_coeff, matrix_g=psi1_p(ispin, iiiB), &
     399         750 :                                     ncol=nmo, alpha=maxocc)
     400             :          !
     401             :          ! Build the third density matrix
     402         750 :          CALL dbcsr_set(density_matrix_ii(ispin)%matrix, 0.0_dp)
     403             :          CALL cp_dbcsr_plus_fm_fm_t(sparse_matrix=density_matrix_ii(ispin)%matrix, &
     404             :                                     matrix_v=mo_coeff, matrix_g=psi1_p(ispin, iiB), &
     405         750 :                                     ncol=nmo, alpha=maxocc)
     406        3000 :          DO idir = 1, 3
     407             :             !
     408             :             ! Calculate the current density on the pw grid (only soft if GAPW)
     409             :             ! idir is the cartesian component of the response current density
     410             :             ! generated by the magnetic field pointing in cartesian direction iB
     411             :             ! Use the qs_rho_type already  used for rho during the scf
     412        2250 :             CALL qs_rho_get(current_env%jrho1_set(idir)%rho, rho_r=jrho1_r)
     413        2250 :             CALL qs_rho_get(current_env%jrho1_set(idir)%rho, rho_g=jrho1_g)
     414             :             ASSOCIATE (jrho_rspace => jrho1_r(ispin), jrho_gspace => jrho1_g(ispin))
     415        2250 :                CALL pw_zero(jrho_rspace)
     416        2250 :                CALL pw_zero(jrho_gspace)
     417             :                CALL calculate_jrho_resp(density_matrix0(ispin)%matrix, &
     418             :                                         density_matrix_a(ispin)%matrix, &
     419             :                                         density_matrix_ii(ispin)%matrix, &
     420             :                                         density_matrix_iii(ispin)%matrix, &
     421             :                                         iB, idir, jrho_rspace, jrho_gspace, qs_env, &
     422        2250 :                                         current_env, gapw)
     423             : 
     424        2250 :                scale_fac = cell%deth/twopi
     425        2250 :                CALL pw_scale(jrho_rspace, scale_fac)
     426        2250 :                CALL pw_scale(jrho_gspace, scale_fac)
     427             : 
     428        2250 :                jrho_tot_G(idir, iB) = pw_integrate_function(jrho_gspace, isign=-1)
     429        4500 :                jrho_tot_R(idir, iB) = pw_integrate_function(jrho_rspace, isign=-1)
     430             :             END ASSOCIATE
     431             : 
     432        3000 :             IF (output_unit > 0) THEN
     433             :                WRITE (output_unit, '(T2,2(A,E24.16))') 'Integrated j_'&
     434        1125 :                     &//ACHAR(idir + 119)//ACHAR(iB + 119)//'(r): G-space=', &
     435        2250 :                      jrho_tot_G(idir, iB), ' R-space=', jrho_tot_R(idir, iB)
     436             :             END IF
     437             :             !
     438             :          END DO ! idir
     439             :          !
     440             :          ! Deallocate buffer vectors
     441        2022 :          DEALLOCATE (ddk)
     442             :          !
     443             :       END DO ! ispin
     444             : 
     445         522 :       IF (gapw) THEN
     446        1152 :          DO idir = 1, 3
     447             :             !
     448             :             ! compute the atomic response current densities on the spherical grids
     449             :             ! First the sparse matrices are multiplied by the expansion coefficients
     450             :             ! this is the equivalent of the CPC for the charge density
     451             :             CALL calculate_jrho_atom_coeff(qs_env, current_env, &
     452             :                                            density_matrix0, &
     453             :                                            density_matrix_a, &
     454             :                                            density_matrix_ii, &
     455             :                                            density_matrix_iii, &
     456         864 :                                            iB, idir)
     457             :             !
     458             :             ! Then the radial parts are computed on the local radial grid, atom by atom
     459             :             ! 8 functions are computed for each atom, per grid point
     460             :             ! and per LM angular momentum. The multiplication by the Clebsh-Gordon
     461             :             ! coefficients or they correspondent for the derivatives, is also done here
     462         864 :             CALL calculate_jrho_atom_rad(qs_env, current_env, idir)
     463             :             !
     464             :             ! The current on the atomic grids
     465        1152 :             CALL calculate_jrho_atom(current_env, qs_env, iB, idir)
     466             :          END DO ! idir
     467             :       END IF
     468             :       !
     469             :       ! Cube files
     470         522 :       IF (BTEST(cp_print_key_should_output(logger%iter_info, current_section,&
     471             :            &   "PRINT%CURRENT_CUBES"), cp_p_file)) THEN
     472           0 :          append_cube = section_get_lval(current_section, "PRINT%CURRENT_CUBES%APPEND")
     473           0 :          my_pos = "REWIND"
     474           0 :          IF (append_cube) THEN
     475           0 :             my_pos = "APPEND"
     476             :          END IF
     477             :          !
     478             :          CALL pw_env_get(pw_env, auxbas_rs_desc=auxbas_rs_desc, &
     479           0 :                          auxbas_pw_pool=auxbas_pw_pool)
     480             :          !
     481           0 :          CALL auxbas_pw_pool%create_pw(wf_r)
     482             :          !
     483           0 :          DO idir = 1, 3
     484           0 :             CALL pw_zero(wf_r)
     485           0 :             CALL qs_rho_get(current_env%jrho1_set(idir)%rho, rho_r=jrho1_r)
     486           0 :             DO ispin = 1, nspins
     487           0 :                CALL pw_axpy(jrho1_r(ispin), wf_r, 1.0_dp)
     488             :             END DO
     489             :             !
     490           0 :             IF (gapw) THEN
     491             :                ! Add the local hard and soft contributions
     492             :                ! This can be done atom by atom by a spline extrapolation of the  values
     493             :                ! on the spherical grid to the grid points.
     494           0 :                CPABORT("GAPW needs to be finalized")
     495             :             END IF
     496           0 :             filename = "jresp"
     497           0 :             mpi_io = .TRUE.
     498           0 :             WRITE (ext, '(a2,I1,a2,I1,a5)') "iB", iB, "_d", idir, ".cube"
     499           0 :             WRITE (ext, '(a2,a1,a2,a1,a5)') "iB", ACHAR(iB + 119), "_d", ACHAR(idir + 119), ".cube"
     500             :             unit_nr = cp_print_key_unit_nr(logger, current_section, "PRINT%CURRENT_CUBES", &
     501             :                                            extension=TRIM(ext), middle_name=TRIM(filename), &
     502             :                                            log_filename=.FALSE., file_position=my_pos, &
     503           0 :                                            mpi_io=mpi_io)
     504             : 
     505             :             CALL cp_pw_to_cube(wf_r, unit_nr, "RESPONSE CURRENT DENSITY ", &
     506             :                                particles=particles, &
     507             :                                stride=section_get_ivals(current_section, "PRINT%CURRENT_CUBES%STRIDE"), &
     508           0 :                                mpi_io=mpi_io)
     509             :             CALL cp_print_key_finished_output(unit_nr, logger, current_section,&
     510           0 :                  &                            "PRINT%CURRENT_CUBES", mpi_io=mpi_io)
     511             :          END DO
     512             :          !
     513           0 :          CALL auxbas_pw_pool%give_back_pw(wf_r)
     514             :       END IF ! current cube
     515             :       !
     516             :       ! Integrated current response checksum
     517         522 :       IF (output_unit > 0) THEN
     518         261 :          WRITE (output_unit, '(T2,A,E24.16)') 'CheckSum R-integrated j=', &
     519         522 :             SQRT(DDOT(9, jrho_tot_R(1, 1), 1, jrho_tot_R(1, 1), 1))
     520             :       END IF
     521             :       !
     522             :       !
     523             :       ! Dellocate grids for the calculation of jrho and the shift
     524         522 :       CALL cp_fm_release(psi1)
     525         522 :       CALL cp_fm_release(p_psi1)
     526             : 
     527         522 :       CALL dbcsr_deallocate_matrix_set(density_matrix0)
     528         522 :       CALL dbcsr_deallocate_matrix_set(density_matrix_a)
     529         522 :       CALL dbcsr_deallocate_matrix_set(density_matrix_ii)
     530         522 :       CALL dbcsr_deallocate_matrix_set(density_matrix_iii)
     531             :       !
     532             :       ! Finalize
     533         522 :       CALL timestop(handle)
     534             :       !
     535        1566 :    END SUBROUTINE current_build_current
     536             : 
     537             : ! **************************************************************************************************
     538             : !> \brief Calculation of the idir component of the response current density
     539             : !>       in the presence of a constant magnetic field in direction iB
     540             : !>       the current density is collocated on the pw grid in real space
     541             : !> \param mat_d0 ...
     542             : !> \param mat_jp ...
     543             : !> \param mat_jp_rii ...
     544             : !> \param mat_jp_riii ...
     545             : !> \param iB ...
     546             : !> \param idir ...
     547             : !> \param current_rs ...
     548             : !> \param current_gs ...
     549             : !> \param qs_env ...
     550             : !> \param current_env ...
     551             : !> \param soft_valid ...
     552             : !> \param retain_rsgrid ...
     553             : !> \note
     554             : !>       The collocate is done in three parts, one for each density matrix
     555             : !>       In all cases the density matrices and therefore the collocation
     556             : !>       are not symmetric, that means that all the pairs (ab and ba) have
     557             : !>       to be considered separately
     558             : !>
     559             : !>       mat_jp_{\mu\nu} is multiplied by
     560             : !>           f_{\mu\nu} = \phi_{\mu} (d\phi_{\nu}/dr)_{idir} -
     561             : !>                        (d\phi_{\mu}/dr)_{idir} \phi_{\nu}
     562             : !>
     563             : !>       mat_jp_rii_{\mu\nu} is multiplied by
     564             : !>           f_{\mu\nu} = \phi_{\mu} (r - R_{\nu})_{iiiB} (d\phi_{\nu}/dr)_{idir} -
     565             : !>                        (d\phi_{\mu}/dr)_{idir} (r - R_{\nu})_{iiiB} \phi_{\nu} +
     566             : !>                         \phi_{\mu} \phi_{\nu}  (last term only if iiiB=idir)
     567             : !>
     568             : !>       mat_jp_riii_{\mu\nu} is multiplied by
     569             : !>                             (be careful: change in sign with respect to previous)
     570             : !>           f_{\mu\nu} = -\phi_{\mu} (r - R_{\nu})_{iiB} (d\phi_{\nu}/dr)_{idir} +
     571             : !>                        (d\phi_{\mu}/dr)_{idir} (r - R_{\nu})_{iiB} \phi_{\nu} -
     572             : !>                         \phi_{\mu} \phi_{\nu}  (last term only if iiB=idir)
     573             : !>
     574             : !>       All the terms sum up to the same grid
     575             : ! **************************************************************************************************
     576        2394 :    SUBROUTINE calculate_jrho_resp(mat_d0, mat_jp, mat_jp_rii, mat_jp_riii, iB, idir, &
     577             :                                   current_rs, current_gs, qs_env, current_env, soft_valid, retain_rsgrid)
     578             : 
     579             :       TYPE(dbcsr_type), POINTER                          :: mat_d0, mat_jp, mat_jp_rii, mat_jp_riii
     580             :       INTEGER, INTENT(IN)                                :: iB, idir
     581             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: current_rs
     582             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: current_gs
     583             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     584             :       TYPE(current_env_type)                             :: current_env
     585             :       LOGICAL, INTENT(IN), OPTIONAL                      :: soft_valid, retain_rsgrid
     586             : 
     587             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_jrho_resp'
     588             :       INTEGER, PARAMETER                                 :: max_tasks = 2000
     589             : 
     590             :       CHARACTER(LEN=default_string_length)               :: basis_type
     591             :       INTEGER :: adbmdab_func, bcol, brow, cindex, curr_tasks, handle, i, iatom, iatom_old, idir2, &
     592             :          igrid_level, iiB, iiiB, ikind, ikind_old, ipgf, iset, iset_old, itask, ithread, jatom, &
     593             :          jatom_old, jkind, jkind_old, jpgf, jset, jset_old, maxco, maxpgf, maxset, maxsgf, &
     594             :          maxsgf_set, na1, na2, natom, nb1, nb2, ncoa, ncob, nimages, nkind, nseta, nsetb, ntasks, &
     595             :          nthread, sgfa, sgfb
     596        2394 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, npgfa, &
     597        2394 :                                                             npgfb, nsgfa, nsgfb
     598        2394 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa, first_sgfb
     599             :       LOGICAL                                            :: atom_pair_changed, den_found, &
     600             :                                                             den_found_a, distributed_rs_grids, &
     601             :                                                             do_igaim, my_retain_rsgrid, my_soft
     602        2394 :       REAL(dp), DIMENSION(:, :, :), POINTER              :: my_current, my_gauge, my_rho
     603             :       REAL(KIND=dp)                                      :: eps_rho_rspace, f, kind_radius_a, &
     604             :                                                             kind_radius_b, Lxo2, Lyo2, Lzo2, &
     605             :                                                             prefactor, radius, scale, scale2, zetp
     606             :       REAL(KIND=dp), DIMENSION(3)                        :: ra, rab, rb, rp
     607        2394 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a, set_radius_b
     608        2394 :       REAL(KIND=dp), DIMENSION(:, :), POINTER :: jp_block_a, jp_block_b, jp_block_c, jp_block_d, &
     609        2394 :          jpab_a, jpab_b, jpab_c, jpab_d, jpblock_a, jpblock_b, jpblock_c, jpblock_d, rpgfa, rpgfb, &
     610        2394 :          sphi_a, sphi_b, work, zeta, zetb
     611        2394 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: jpabt_a, jpabt_b, jpabt_c, jpabt_d, workt
     612        2394 :       TYPE(atom_pair_type), DIMENSION(:), POINTER        :: atom_pair_recv, atom_pair_send
     613             :       TYPE(cell_type), POINTER                           :: cell
     614        2394 :       TYPE(cube_info_type), DIMENSION(:), POINTER        :: cube_info
     615        2394 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: deltajp_a, deltajp_b, deltajp_c, &
     616        2394 :                                                             deltajp_d
     617             :       TYPE(dbcsr_type), POINTER                          :: mat_a, mat_b, mat_c, mat_d
     618             :       TYPE(dft_control_type), POINTER                    :: dft_control
     619             :       TYPE(gridlevel_info_type), POINTER                 :: gridlevel_info
     620        2394 :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list
     621             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a, basis_set_b, orb_basis_set
     622             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     623             :       TYPE(neighbor_list_iterator_p_type), &
     624        2394 :          DIMENSION(:), POINTER                           :: nl_iterator
     625             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     626        2394 :          POINTER                                         :: sab_orb
     627        2394 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     628             :       TYPE(pw_env_type), POINTER                         :: pw_env
     629        2394 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     630             :       TYPE(qs_kind_type), POINTER                        :: qs_kind
     631             :       TYPE(realspace_grid_desc_p_type), DIMENSION(:), &
     632        2394 :          POINTER                                         :: rs_descs
     633        2394 :       TYPE(realspace_grid_type), DIMENSION(:), POINTER   :: rs_current, rs_rho
     634             :       TYPE(realspace_grid_type), DIMENSION(:, :), &
     635        2394 :          POINTER                                         :: rs_gauge
     636        2394 :       TYPE(task_type), DIMENSION(:), POINTER             :: tasks
     637             : 
     638        2394 :       NULLIFY (qs_kind, cell, dft_control, orb_basis_set, rs_rho, &
     639        2394 :                qs_kind_set, sab_orb, particle_set, rs_current, pw_env, &
     640        2394 :                rs_descs, para_env, set_radius_a, set_radius_b, la_max, la_min, &
     641        2394 :                lb_max, lb_min, npgfa, npgfb, nsgfa, nsgfb, rpgfa, rpgfb, &
     642        2394 :                sphi_a, sphi_b, zeta, zetb, first_sgfa, first_sgfb, tasks, &
     643        2394 :                workt, mat_a, mat_b, mat_c, mat_d, rs_gauge)
     644        2394 :       NULLIFY (deltajp_a, deltajp_b, deltajp_c, deltajp_d)
     645        2394 :       NULLIFY (jp_block_a, jp_block_b, jp_block_c, jp_block_d)
     646        2394 :       NULLIFY (jpblock_a, jpblock_b, jpblock_c, jpblock_d)
     647        2394 :       NULLIFY (jpabt_a, jpabt_b, jpabt_c, jpabt_d)
     648        2394 :       NULLIFY (atom_pair_send, atom_pair_recv)
     649             : 
     650        2394 :       CALL timeset(routineN, handle)
     651             : 
     652             :       !
     653             :       ! Set pointers for the different gauge
     654             :       ! If do_igaim is False the current_env is never needed
     655        2394 :       do_igaim = current_env%gauge .EQ. current_gauge_atom
     656             : 
     657        2394 :       mat_a => mat_jp
     658        2394 :       mat_b => mat_jp_rii
     659        2394 :       mat_c => mat_jp_riii
     660        2394 :       IF (do_igaim) mat_d => mat_d0
     661             : 
     662        2394 :       my_retain_rsgrid = .FALSE.
     663        2394 :       IF (PRESENT(retain_rsgrid)) my_retain_rsgrid = retain_rsgrid
     664             : 
     665             :       CALL get_qs_env(qs_env=qs_env, &
     666             :                       qs_kind_set=qs_kind_set, &
     667             :                       cell=cell, &
     668             :                       dft_control=dft_control, &
     669             :                       particle_set=particle_set, &
     670             :                       sab_all=sab_orb, &
     671             :                       para_env=para_env, &
     672        2394 :                       pw_env=pw_env)
     673             : 
     674        2394 :       IF (do_igaim) CALL get_current_env(current_env=current_env, rs_gauge=rs_gauge)
     675             : 
     676             :       ! Component of appearing in the vector product rxp, iiB and iiiB
     677        2394 :       CALL set_vecp(iB, iiB, iiiB)
     678             :       !
     679             :       !
     680        2394 :       scale2 = 0.0_dp
     681        2394 :       idir2 = 1
     682        2394 :       IF (idir .NE. iB) THEN
     683        1500 :          CALL set_vecp_rev(idir, iB, idir2)
     684        1500 :          scale2 = fac_vecp(idir, iB, idir2)
     685             :       END IF
     686             :       !
     687             :       ! *** assign from pw_env
     688        2394 :       gridlevel_info => pw_env%gridlevel_info
     689        2394 :       cube_info => pw_env%cube_info
     690             : 
     691             :       !   Check that the neighbor list with all the pairs is associated
     692        2394 :       CPASSERT(ASSOCIATED(sab_orb))
     693             :       ! *** set up the pw multi-grids
     694        2394 :       CPASSERT(ASSOCIATED(pw_env))
     695        2394 :       CALL pw_env_get(pw_env, rs_descs=rs_descs, rs_grids=rs_rho)
     696             : 
     697        2394 :       distributed_rs_grids = .FALSE.
     698       11934 :       DO igrid_level = 1, gridlevel_info%ngrid_levels
     699       40554 :          IF (.NOT. ALL(rs_descs(igrid_level)%rs_desc%perd == 1)) THEN
     700           0 :             distributed_rs_grids = .TRUE.
     701             :          END IF
     702             :       END DO
     703        2394 :       eps_rho_rspace = dft_control%qs_control%eps_rho_rspace
     704        2394 :       nthread = 1
     705             : 
     706             :       !   *** Allocate work storage ***
     707             :       CALL get_qs_kind_set(qs_kind_set=qs_kind_set, &
     708             :                            maxco=maxco, &
     709             :                            maxsgf=maxsgf, &
     710        2394 :                            maxsgf_set=maxsgf_set)
     711             : 
     712        9576 :       Lxo2 = SQRT(SUM(cell%hmat(:, 1)**2))/2.0_dp
     713        9576 :       Lyo2 = SQRT(SUM(cell%hmat(:, 2)**2))/2.0_dp
     714        9576 :       Lzo2 = SQRT(SUM(cell%hmat(:, 3)**2))/2.0_dp
     715             : 
     716        2394 :       my_soft = .FALSE.
     717        2394 :       IF (PRESENT(soft_valid)) my_soft = soft_valid
     718        2250 :       IF (my_soft) THEN
     719        1260 :          basis_type = "ORB_SOFT"
     720             :       ELSE
     721        1134 :          basis_type = "ORB"
     722             :       END IF
     723             : 
     724        2394 :       nkind = SIZE(qs_kind_set)
     725             : 
     726        2394 :       CALL reallocate(jpabt_a, 1, maxco, 1, maxco, 0, nthread - 1)
     727        2394 :       CALL reallocate(jpabt_b, 1, maxco, 1, maxco, 0, nthread - 1)
     728        2394 :       CALL reallocate(jpabt_c, 1, maxco, 1, maxco, 0, nthread - 1)
     729        2394 :       CALL reallocate(jpabt_d, 1, maxco, 1, maxco, 0, nthread - 1)
     730        2394 :       CALL reallocate(workt, 1, maxco, 1, maxsgf_set, 0, nthread - 1)
     731        2394 :       CALL reallocate_tasks(tasks, max_tasks)
     732             : 
     733        2394 :       ntasks = 0
     734        2394 :       curr_tasks = SIZE(tasks)
     735             : 
     736             :       !   get maximum numbers
     737        2394 :       natom = SIZE(particle_set)
     738        2394 :       maxset = 0
     739        2394 :       maxpgf = 0
     740             : 
     741             :       ! hard code matrix index (no kpoints)
     742        2394 :       nimages = dft_control%nimages
     743        2394 :       CPASSERT(nimages == 1)
     744        2394 :       cindex = 1
     745             : 
     746        6414 :       DO ikind = 1, nkind
     747        4020 :          qs_kind => qs_kind_set(ikind)
     748             : 
     749        4020 :          CALL get_qs_kind(qs_kind=qs_kind, basis_set=orb_basis_set)
     750             : 
     751        4020 :          IF (.NOT. ASSOCIATED(orb_basis_set)) CYCLE
     752             : 
     753        4020 :          CALL get_gto_basis_set(gto_basis_set=orb_basis_set, npgf=npgfa, nset=nseta)
     754        4020 :          maxset = MAX(nseta, maxset)
     755       16344 :          maxpgf = MAX(MAXVAL(npgfa), maxpgf)
     756             :       END DO
     757             : 
     758             :       !   *** Initialize working density matrix ***
     759             : 
     760             :       ! distributed rs grids require a matrix that will be changed (distribute_tasks)
     761             :       ! whereas this is not the case for replicated grids
     762       11970 :       ALLOCATE (deltajp_a(1), deltajp_b(1), deltajp_c(1), deltajp_d(1))
     763        2394 :       IF (distributed_rs_grids) THEN
     764           0 :          ALLOCATE (deltajp_a(1)%matrix, deltajp_b(1)%matrix, deltajp_c(1)%matrix)
     765           0 :          IF (do_igaim) THEN
     766           0 :             ALLOCATE (deltajp_d(1)%matrix)
     767             :          END IF
     768             : 
     769           0 :          CALL dbcsr_create(deltajp_a(1)%matrix, template=mat_a, name='deltajp_a')
     770           0 :          CALL dbcsr_create(deltajp_b(1)%matrix, template=mat_a, name='deltajp_b')
     771           0 :          CALL dbcsr_create(deltajp_c(1)%matrix, template=mat_a, name='deltajp_c')
     772           0 :          IF (do_igaim) CALL dbcsr_create(deltajp_d(1)%matrix, template=mat_a, name='deltajp_d')
     773             :       ELSE
     774        2394 :          deltajp_a(1)%matrix => mat_a !mat_jp
     775        2394 :          deltajp_b(1)%matrix => mat_b !mat_jp_rii
     776        2394 :          deltajp_c(1)%matrix => mat_c !mat_jp_riii
     777        2394 :          IF (do_igaim) deltajp_d(1)%matrix => mat_d !mat_d0
     778             :       END IF
     779             : 
     780       11202 :       ALLOCATE (basis_set_list(nkind))
     781        6414 :       DO ikind = 1, nkind
     782        4020 :          qs_kind => qs_kind_set(ikind)
     783        4020 :          CALL get_qs_kind(qs_kind=qs_kind, basis_set=basis_set_a, basis_type=basis_type)
     784        6414 :          IF (ASSOCIATED(basis_set_a)) THEN
     785        4020 :             basis_set_list(ikind)%gto_basis_set => basis_set_a
     786             :          ELSE
     787           0 :             NULLIFY (basis_set_list(ikind)%gto_basis_set)
     788             :          END IF
     789             :       END DO
     790        2394 :       CALL neighbor_list_iterator_create(nl_iterator, sab_orb)
     791      190833 :       DO WHILE (neighbor_list_iterate(nl_iterator) == 0)
     792      188439 :          CALL get_iterator_info(nl_iterator, ikind=ikind, jkind=jkind, iatom=iatom, jatom=jatom, r=rab)
     793      188439 :          basis_set_a => basis_set_list(ikind)%gto_basis_set
     794      188439 :          IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
     795      188439 :          basis_set_b => basis_set_list(jkind)%gto_basis_set
     796      188439 :          IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
     797      188439 :          ra(:) = pbc(particle_set(iatom)%r, cell)
     798             :          ! basis ikind
     799      188439 :          first_sgfa => basis_set_a%first_sgf
     800      188439 :          la_max => basis_set_a%lmax
     801      188439 :          la_min => basis_set_a%lmin
     802      188439 :          npgfa => basis_set_a%npgf
     803      188439 :          nseta = basis_set_a%nset
     804      188439 :          nsgfa => basis_set_a%nsgf_set
     805      188439 :          rpgfa => basis_set_a%pgf_radius
     806      188439 :          set_radius_a => basis_set_a%set_radius
     807      188439 :          kind_radius_a = basis_set_a%kind_radius
     808      188439 :          sphi_a => basis_set_a%sphi
     809      188439 :          zeta => basis_set_a%zet
     810             :          ! basis jkind
     811      188439 :          first_sgfb => basis_set_b%first_sgf
     812      188439 :          lb_max => basis_set_b%lmax
     813      188439 :          lb_min => basis_set_b%lmin
     814      188439 :          npgfb => basis_set_b%npgf
     815      188439 :          nsetb = basis_set_b%nset
     816      188439 :          nsgfb => basis_set_b%nsgf_set
     817      188439 :          rpgfb => basis_set_b%pgf_radius
     818      188439 :          set_radius_b => basis_set_b%set_radius
     819      188439 :          kind_radius_b = basis_set_b%kind_radius
     820      188439 :          sphi_b => basis_set_b%sphi
     821      188439 :          zetb => basis_set_b%zet
     822             : 
     823      188439 :          IF (ABS(rab(1)) > Lxo2 .OR. ABS(rab(2)) > Lyo2 .OR. ABS(rab(3)) > Lzo2) THEN
     824             :             CYCLE
     825             :          END IF
     826             : 
     827       11574 :          brow = iatom
     828       11574 :          bcol = jatom
     829             : 
     830             :          CALL dbcsr_get_block_p(matrix=mat_a, row=brow, col=bcol, &
     831       11574 :                                 block=jp_block_a, found=den_found_a)
     832             :          CALL dbcsr_get_block_p(matrix=mat_b, row=brow, col=bcol, &
     833       11574 :                                 block=jp_block_b, found=den_found)
     834             :          CALL dbcsr_get_block_p(matrix=mat_c, row=brow, col=bcol, &
     835       11574 :                                 block=jp_block_c, found=den_found)
     836       11574 :          IF (do_igaim) CALL dbcsr_get_block_p(matrix=mat_d, row=brow, col=bcol, &
     837        2961 :                                               block=jp_block_d, found=den_found)
     838             : 
     839       11574 :          IF (.NOT. ASSOCIATED(jp_block_a)) CYCLE
     840             : 
     841       11490 :          IF (distributed_rs_grids) THEN
     842           0 :             NULLIFY (jpblock_a, jpblock_b, jpblock_c, jpblock_d)
     843           0 :             CALL dbcsr_add_block_node(deltajp_a(1)%matrix, brow, bcol, jpblock_a)
     844           0 :             jpblock_a = jp_block_a
     845           0 :             CALL dbcsr_add_block_node(deltajp_b(1)%matrix, brow, bcol, jpblock_b)
     846           0 :             jpblock_b = jp_block_b
     847           0 :             CALL dbcsr_add_block_node(deltajp_c(1)%matrix, brow, bcol, jpblock_c)
     848           0 :             jpblock_c = jp_block_c
     849           0 :             IF (do_igaim) THEN
     850           0 :                CALL dbcsr_add_block_node(deltajp_d(1)%matrix, brow, bcol, jpblock_d)
     851           0 :                jpblock_d = jp_block_d
     852             :             END IF
     853             :          ELSE
     854       11490 :             jpblock_a => jp_block_a
     855       11490 :             jpblock_b => jp_block_b
     856       11490 :             jpblock_c => jp_block_c
     857       11490 :             IF (do_igaim) jpblock_d => jp_block_d
     858             :          END IF
     859             : 
     860             :          CALL task_list_inner_loop(tasks, ntasks, curr_tasks, rs_descs, &
     861             :                                    dft_control, cube_info, gridlevel_info, cindex, &
     862             :                                    iatom, jatom, rpgfa, rpgfb, zeta, zetb, kind_radius_b, &
     863             :                                    set_radius_a, set_radius_b, ra, rab, &
     864      188439 :                                    la_max, la_min, lb_max, lb_min, npgfa, npgfb, nseta, nsetb)
     865             : 
     866             :       END DO
     867        2394 :       CALL neighbor_list_iterator_release(nl_iterator)
     868             : 
     869        2394 :       DEALLOCATE (basis_set_list)
     870             : 
     871        2394 :       IF (distributed_rs_grids) THEN
     872           0 :          CALL dbcsr_finalize(deltajp_a(1)%matrix)
     873           0 :          CALL dbcsr_finalize(deltajp_b(1)%matrix)
     874           0 :          CALL dbcsr_finalize(deltajp_c(1)%matrix)
     875           0 :          IF (do_igaim) CALL dbcsr_finalize(deltajp_d(1)%matrix)
     876             :       END IF
     877             : 
     878             :       ! sorts / redistributes the task list
     879             :       CALL distribute_tasks(rs_descs=rs_descs, ntasks=ntasks, natoms=natom, tasks=tasks, &
     880             :                             atom_pair_send=atom_pair_send, atom_pair_recv=atom_pair_recv, &
     881             :                             symmetric=.FALSE., reorder_rs_grid_ranks=.TRUE., &
     882        2394 :                             skip_load_balance_distributed=.FALSE.)
     883             : 
     884       52632 :       ALLOCATE (rs_current(gridlevel_info%ngrid_levels))
     885             : 
     886       11934 :       DO igrid_level = 1, gridlevel_info%ngrid_levels
     887             :          ! Here we need to reallocate the distributed rs_grids, which may have been reordered
     888             :          ! by distribute_tasks
     889        9540 :          IF (rs_descs(igrid_level)%rs_desc%distributed .AND. .NOT. my_retain_rsgrid) THEN
     890           0 :             CALL rs_grid_release(rs_rho(igrid_level))
     891           0 :             CALL rs_grid_create(rs_rho(igrid_level), rs_descs(igrid_level)%rs_desc)
     892             :          END IF
     893        9540 :          CALL rs_grid_zero(rs_rho(igrid_level))
     894        9540 :          CALL rs_grid_create(rs_current(igrid_level), rs_descs(igrid_level)%rs_desc)
     895       11934 :          CALL rs_grid_zero(rs_current(igrid_level))
     896             :       END DO
     897             : 
     898             :       !
     899             :       ! we need to build the gauge here
     900        2394 :       IF (.NOT. current_env%gauge_init .AND. do_igaim) THEN
     901          28 :          CALL current_set_gauge(current_env, qs_env)
     902          28 :          current_env%gauge_init = .TRUE.
     903             :       END IF
     904             :       !
     905             :       ! for any case double check the bounds !
     906         360 :       IF (do_igaim) THEN
     907        1764 :          DO igrid_level = 1, gridlevel_info%ngrid_levels
     908        1404 :             my_rho => rs_rho(igrid_level)%r
     909        1404 :             my_current => rs_current(igrid_level)%r
     910             :             IF (LBOUND(my_rho, 3) .NE. LBOUND(my_current, 3) .OR. &
     911             :                 LBOUND(my_rho, 2) .NE. LBOUND(my_current, 2) .OR. &
     912             :                 LBOUND(my_rho, 1) .NE. LBOUND(my_current, 1) .OR. &
     913             :                 UBOUND(my_rho, 3) .NE. UBOUND(my_current, 3) .OR. &
     914       18252 :                 UBOUND(my_rho, 2) .NE. UBOUND(my_current, 2) .OR. &
     915             :                 UBOUND(my_rho, 1) .NE. UBOUND(my_current, 1)) THEN
     916           0 :                WRITE (*, *) 'LBOUND(my_rho,3),LBOUND(my_current,3)', LBOUND(my_rho, 3), LBOUND(my_current, 3)
     917           0 :                WRITE (*, *) 'LBOUND(my_rho,2),LBOUND(my_current,2)', LBOUND(my_rho, 2), LBOUND(my_current, 2)
     918           0 :                WRITE (*, *) 'LBOUND(my_rho,1),LBOUND(my_current,1)', LBOUND(my_rho, 1), LBOUND(my_current, 1)
     919           0 :                WRITE (*, *) 'UBOUND(my_rho,3),UBOUND(my_current,3)', UBOUND(my_rho, 3), UBOUND(my_current, 3)
     920           0 :                WRITE (*, *) 'UBOUND(my_rho,2),UBOUND(my_current,2)', UBOUND(my_rho, 2), UBOUND(my_current, 2)
     921           0 :                WRITE (*, *) 'UBOUND(my_rho,1),UBOUND(my_current,1)', UBOUND(my_rho, 1), UBOUND(my_current, 1)
     922           0 :                CPABORT("Bug")
     923             :             END IF
     924             : 
     925        1404 :             my_gauge => rs_gauge(1, igrid_level)%r
     926             :             IF (LBOUND(my_rho, 3) .NE. LBOUND(my_gauge, 3) .OR. &
     927             :                 LBOUND(my_rho, 2) .NE. LBOUND(my_gauge, 2) .OR. &
     928             :                 LBOUND(my_rho, 1) .NE. LBOUND(my_gauge, 1) .OR. &
     929             :                 UBOUND(my_rho, 3) .NE. UBOUND(my_gauge, 3) .OR. &
     930       16848 :                 UBOUND(my_rho, 2) .NE. UBOUND(my_gauge, 2) .OR. &
     931         360 :                 UBOUND(my_rho, 1) .NE. UBOUND(my_gauge, 1)) THEN
     932           0 :                WRITE (*, *) 'LBOUND(my_rho,3),LBOUND(my_gauge,3)', LBOUND(my_rho, 3), LBOUND(my_gauge, 3)
     933           0 :                WRITE (*, *) 'LBOUND(my_rho,2),LBOUND(my_gauge,2)', LBOUND(my_rho, 2), LBOUND(my_gauge, 2)
     934           0 :                WRITE (*, *) 'LBOUND(my_rho,1),LBOUND(my_gauge,1)', LBOUND(my_rho, 1), LBOUND(my_gauge, 1)
     935           0 :                WRITE (*, *) 'UBOUND(my_rho,3),UbOUND(my_gauge,3)', UBOUND(my_rho, 3), UBOUND(my_gauge, 3)
     936           0 :                WRITE (*, *) 'UBOUND(my_rho,2),UBOUND(my_gauge,2)', UBOUND(my_rho, 2), UBOUND(my_gauge, 2)
     937           0 :                WRITE (*, *) 'UBOUND(my_rho,1),UBOUND(my_gauge,1)', UBOUND(my_rho, 1), UBOUND(my_gauge, 1)
     938           0 :                CPABORT("Bug")
     939             :             END IF
     940             :          END DO
     941             :       END IF
     942             :       !
     943             :       !-------------------------------------------------------------
     944             : 
     945        2394 :       IF (distributed_rs_grids) THEN
     946             :          CALL rs_distribute_matrix(rs_descs=rs_descs, pmats=deltajp_a, &
     947             :                                    atom_pair_send=atom_pair_send, atom_pair_recv=atom_pair_recv, &
     948           0 :                                    nimages=nimages, scatter=.TRUE.)
     949             :          CALL rs_distribute_matrix(rs_descs=rs_descs, pmats=deltajp_b, &
     950             :                                    atom_pair_send=atom_pair_send, atom_pair_recv=atom_pair_recv, &
     951           0 :                                    nimages=nimages, scatter=.TRUE.)
     952             :          CALL rs_distribute_matrix(rs_descs=rs_descs, pmats=deltajp_c, &
     953             :                                    atom_pair_send=atom_pair_send, atom_pair_recv=atom_pair_recv, &
     954           0 :                                    nimages=nimages, scatter=.TRUE.)
     955           0 :          IF (do_igaim) CALL rs_distribute_matrix(rs_descs=rs_descs, pmats=deltajp_d, &
     956             :                                                  atom_pair_send=atom_pair_send, atom_pair_recv=atom_pair_recv, &
     957           0 :                                                  nimages=nimages, scatter=.TRUE.)
     958             :       END IF
     959             : 
     960        2394 :       ithread = 0
     961        2394 :       jpab_a => jpabt_a(:, :, ithread)
     962        2394 :       jpab_b => jpabt_b(:, :, ithread)
     963        2394 :       jpab_c => jpabt_c(:, :, ithread)
     964        2394 :       IF (do_igaim) jpab_d => jpabt_d(:, :, ithread)
     965        2394 :       work => workt(:, :, ithread)
     966             : 
     967        2394 :       iatom_old = -1; jatom_old = -1; iset_old = -1; jset_old = -1
     968        2394 :       ikind_old = -1; jkind_old = -1
     969             : 
     970      166857 :       loop_tasks: DO itask = 1, ntasks
     971      164463 :          igrid_level = tasks(itask)%grid_level
     972      164463 :          cindex = tasks(itask)%image
     973      164463 :          iatom = tasks(itask)%iatom
     974      164463 :          jatom = tasks(itask)%jatom
     975      164463 :          iset = tasks(itask)%iset
     976      164463 :          jset = tasks(itask)%jset
     977      164463 :          ipgf = tasks(itask)%ipgf
     978      164463 :          jpgf = tasks(itask)%jpgf
     979             : 
     980             :          ! apparently generalised collocation not implemented correctly yet
     981      164463 :          CPASSERT(tasks(itask)%dist_type .NE. 2)
     982             : 
     983      164463 :          IF (iatom .NE. iatom_old .OR. jatom .NE. jatom_old) THEN
     984             : 
     985       24225 :             ikind = particle_set(iatom)%atomic_kind%kind_number
     986       24225 :             jkind = particle_set(jatom)%atomic_kind%kind_number
     987             : 
     988       24225 :             IF (iatom .NE. iatom_old) ra(:) = pbc(particle_set(iatom)%r, cell)
     989             : 
     990       24225 :             brow = iatom
     991       24225 :             bcol = jatom
     992             : 
     993       24225 :             IF (ikind .NE. ikind_old) THEN
     994             :                CALL get_qs_kind(qs_kind_set(ikind), basis_set=orb_basis_set, &
     995        3450 :                                 basis_type=basis_type)
     996             : 
     997             :                CALL get_gto_basis_set(gto_basis_set=orb_basis_set, &
     998             :                                       first_sgf=first_sgfa, &
     999             :                                       lmax=la_max, &
    1000             :                                       lmin=la_min, &
    1001             :                                       npgf=npgfa, &
    1002             :                                       nset=nseta, &
    1003             :                                       nsgf_set=nsgfa, &
    1004             :                                       pgf_radius=rpgfa, &
    1005             :                                       set_radius=set_radius_a, &
    1006             :                                       sphi=sphi_a, &
    1007        3450 :                                       zet=zeta)
    1008             :             END IF
    1009             : 
    1010       24225 :             IF (jkind .NE. jkind_old) THEN
    1011             : 
    1012             :                CALL get_qs_kind(qs_kind_set(jkind), &
    1013       12888 :                                 basis_set=orb_basis_set, basis_type=basis_type)
    1014             : 
    1015             :                CALL get_gto_basis_set(gto_basis_set=orb_basis_set, &
    1016             :                                       first_sgf=first_sgfb, &
    1017             :                                       kind_radius=kind_radius_b, &
    1018             :                                       lmax=lb_max, &
    1019             :                                       lmin=lb_min, &
    1020             :                                       npgf=npgfb, &
    1021             :                                       nset=nsetb, &
    1022             :                                       nsgf_set=nsgfb, &
    1023             :                                       pgf_radius=rpgfb, &
    1024             :                                       set_radius=set_radius_b, &
    1025             :                                       sphi=sphi_b, &
    1026       12888 :                                       zet=zetb)
    1027             : 
    1028             :             END IF
    1029             : 
    1030             :             CALL dbcsr_get_block_p(matrix=deltajp_a(1)%matrix, row=brow, col=bcol, &
    1031       24225 :                                    block=jp_block_a, found=den_found)
    1032             :             CALL dbcsr_get_block_p(matrix=deltajp_b(1)%matrix, row=brow, col=bcol, &
    1033       24225 :                                    block=jp_block_b, found=den_found)
    1034             :             CALL dbcsr_get_block_p(matrix=deltajp_c(1)%matrix, row=brow, col=bcol, &
    1035       24225 :                                    block=jp_block_c, found=den_found)
    1036       24225 :             IF (do_igaim) CALL dbcsr_get_block_p(matrix=deltajp_d(1)%matrix, row=brow, col=bcol, &
    1037        5229 :                                                  block=jp_block_d, found=den_found)
    1038             : 
    1039       24225 :             IF (.NOT. ASSOCIATED(jp_block_a)) &
    1040           0 :                CPABORT("p_block not associated in deltap")
    1041             : 
    1042             :             iatom_old = iatom
    1043             :             jatom_old = jatom
    1044             :             ikind_old = ikind
    1045             :             jkind_old = jkind
    1046             : 
    1047             :             atom_pair_changed = .TRUE.
    1048             : 
    1049             :          ELSE
    1050             : 
    1051             :             atom_pair_changed = .FALSE.
    1052             : 
    1053             :          END IF
    1054             : 
    1055      164463 :          IF (atom_pair_changed .OR. iset_old .NE. iset .OR. jset_old .NE. jset) THEN
    1056             : 
    1057       58548 :             ncoa = npgfa(iset)*ncoset(la_max(iset))
    1058       58548 :             sgfa = first_sgfa(1, iset)
    1059       58548 :             ncob = npgfb(jset)*ncoset(lb_max(jset))
    1060       58548 :             sgfb = first_sgfb(1, jset)
    1061             :             ! Decontraction step for the selected blocks of the 3 density matrices
    1062             : 
    1063             :             CALL dgemm("N", "N", ncoa, nsgfb(jset), nsgfa(iset), &
    1064             :                        1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
    1065             :                        jp_block_a(sgfa, sgfb), SIZE(jp_block_a, 1), &
    1066       58548 :                        0.0_dp, work(1, 1), maxco)
    1067             :             CALL dgemm("N", "T", ncoa, ncob, nsgfb(jset), &
    1068             :                        1.0_dp, work(1, 1), maxco, &
    1069             :                        sphi_b(1, sgfb), SIZE(sphi_b, 1), &
    1070       58548 :                        0.0_dp, jpab_a(1, 1), maxco)
    1071             : 
    1072             :             CALL dgemm("N", "N", ncoa, nsgfb(jset), nsgfa(iset), &
    1073             :                        1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
    1074             :                        jp_block_b(sgfa, sgfb), SIZE(jp_block_b, 1), &
    1075       58548 :                        0.0_dp, work(1, 1), maxco)
    1076             :             CALL dgemm("N", "T", ncoa, ncob, nsgfb(jset), &
    1077             :                        1.0_dp, work(1, 1), maxco, &
    1078             :                        sphi_b(1, sgfb), SIZE(sphi_b, 1), &
    1079       58548 :                        0.0_dp, jpab_b(1, 1), maxco)
    1080             : 
    1081             :             CALL dgemm("N", "N", ncoa, nsgfb(jset), nsgfa(iset), &
    1082             :                        1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
    1083             :                        jp_block_c(sgfa, sgfb), SIZE(jp_block_c, 1), &
    1084       58548 :                        0.0_dp, work(1, 1), maxco)
    1085             :             CALL dgemm("N", "T", ncoa, ncob, nsgfb(jset), &
    1086             :                        1.0_dp, work(1, 1), maxco, &
    1087             :                        sphi_b(1, sgfb), SIZE(sphi_b, 1), &
    1088       58548 :                        0.0_dp, jpab_c(1, 1), maxco)
    1089             : 
    1090       58548 :             IF (do_igaim) THEN
    1091             :                CALL dgemm("N", "N", ncoa, nsgfb(jset), nsgfa(iset), &
    1092             :                           1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
    1093             :                           jp_block_d(sgfa, sgfb), SIZE(jp_block_d, 1), &
    1094       12105 :                           0.0_dp, work(1, 1), maxco)
    1095             :                CALL dgemm("N", "T", ncoa, ncob, nsgfb(jset), &
    1096             :                           1.0_dp, work(1, 1), maxco, &
    1097             :                           sphi_b(1, sgfb), SIZE(sphi_b, 1), &
    1098       12105 :                           0.0_dp, jpab_d(1, 1), maxco)
    1099             :             END IF
    1100             : 
    1101             :             iset_old = iset
    1102             :             jset_old = jset
    1103             : 
    1104             :          END IF
    1105             : 
    1106       54821 :          SELECT CASE (idir)
    1107             :          CASE (1)
    1108       54821 :             adbmdab_func = GRID_FUNC_ADBmDAB_X
    1109             :          CASE (2)
    1110       54821 :             adbmdab_func = GRID_FUNC_ADBmDAB_Y
    1111             :          CASE (3)
    1112       54821 :             adbmdab_func = GRID_FUNC_ADBmDAB_Z
    1113             :          CASE DEFAULT
    1114      164463 :             CPABORT("invalid idir")
    1115             :          END SELECT
    1116             : 
    1117      657852 :          rab(:) = tasks(itask)%rab
    1118      657852 :          rb(:) = ra(:) + rab(:)
    1119      164463 :          zetp = zeta(ipgf, iset) + zetb(jpgf, jset)
    1120      164463 :          f = zetb(jpgf, jset)/zetp
    1121      657852 :          prefactor = EXP(-zeta(ipgf, iset)*f*DOT_PRODUCT(rab, rab))
    1122      657852 :          rp(:) = ra(:) + f*rab(:)
    1123             : 
    1124      164463 :          na1 = (ipgf - 1)*ncoset(la_max(iset)) + 1
    1125      164463 :          na2 = ipgf*ncoset(la_max(iset))
    1126      164463 :          nb1 = (jpgf - 1)*ncoset(lb_max(jset)) + 1
    1127      164463 :          nb2 = jpgf*ncoset(lb_max(jset))
    1128             : 
    1129             :          ! Four calls to the general collocate density, to multply the correct function
    1130             :          ! to each density matrix
    1131             : 
    1132             :          !
    1133             :          ! here the decontracted mat_jp_{ab} is multiplied by
    1134             :          !     f_{ab} = g_{a} (dg_{b}/dr)_{idir} - (dg_{a}/dr)_{idir} g_{b}
    1135      164463 :          scale = 1.0_dp
    1136             :          radius = exp_radius_very_extended(la_min=la_min(iset), la_max=la_max(iset), &
    1137             :                                            lb_min=lb_min(jset), lb_max=lb_max(jset), &
    1138             :                                            ra=ra, rb=rb, rp=rp, zetp=zetp, eps=eps_rho_rspace, &
    1139      164463 :                                            prefactor=prefactor, cutoff=1.0_dp)
    1140             : 
    1141             :          CALL collocate_pgf_product(la_max(iset), zeta(ipgf, iset), &
    1142             :                                     la_min(iset), lb_max(jset), zetb(jpgf, jset), lb_min(jset), &
    1143             :                                     ra, rab, scale, jpab_a, na1 - 1, nb1 - 1, &
    1144             :                                     rs_current(igrid_level), &
    1145      164463 :                                     radius=radius, ga_gb_function=adbmdab_func)
    1146      166857 :          IF (do_igaim) THEN
    1147             :             ! here the decontracted mat_jb_{ab} is multiplied by
    1148             :             !     f_{ab} = g_{a} * g_{b} ! THIS GOES OUTSIDE THE LOOP !
    1149       20574 :             IF (scale2 .NE. 0.0_dp) THEN
    1150             :                CALL collocate_pgf_product(la_max(iset), zeta(ipgf, iset), &
    1151             :                                           la_min(iset), lb_max(jset), zetb(jpgf, jset), lb_min(jset), &
    1152             :                                           ra, rab, scale2, jpab_d, na1 - 1, nb1 - 1, &
    1153             :                                           rs_rho(igrid_level), &
    1154       13716 :                                           radius=radius, ga_gb_function=GRID_FUNC_AB)
    1155             :             END IF !rm
    1156             :             ! here the decontracted mat_jp_rii{ab} is multiplied by
    1157             :             !     f_{ab} = g_{a} (d(r) - R_{b})_{iiB} (dg_{b}/dr)_{idir} -
    1158             :             !             (dg_{a}/dr)_{idir} (d(r) - R_{b})_{iiB} g_{b}
    1159             :             scale = 1.0_dp
    1160   512067753 :             current_env%rs_buf(igrid_level)%r(:, :, :) = 0.0_dp
    1161             :             CALL collocate_pgf_product(la_max(iset), zeta(ipgf, iset), &
    1162             :                                        la_min(iset), lb_max(jset), zetb(jpgf, jset), lb_min(jset), &
    1163             :                                        ra, rab, scale, jpab_b, na1 - 1, nb1 - 1, &
    1164             :                                        radius=radius, &
    1165             :                                        ga_gb_function=adbmdab_func, &
    1166       20574 :                                        rsgrid=current_env%rs_buf(igrid_level))
    1167             :             CALL collocate_gauge_ortho(rsgrid=current_env%rs_buf(igrid_level), &
    1168             :                                        rsbuf=rs_current(igrid_level), &
    1169             :                                        rsgauge=rs_gauge(iiiB, igrid_level), &
    1170             :                                        cube_info=cube_info(igrid_level), radius=radius, &
    1171             :                                        zeta=zeta(ipgf, iset), zetb=zetb(jpgf, jset), &
    1172       20574 :                                        ra=ra, rab=rab, ir=iiiB)
    1173             : 
    1174             :             ! here the decontracted mat_jp_riii{ab} is multiplied by
    1175             :             !     f_{ab} = -g_{a} (d(r) - R_{b})_{iiB} (dg_{b}/dr)_{idir} +
    1176             :             !             (dg_{a}/dr)_{idir} (d(r) - R_{b})_{iiB} g_{b}
    1177       20574 :             scale = -1.0_dp
    1178   512067753 :             current_env%rs_buf(igrid_level)%r(:, :, :) = 0.0_dp
    1179             :             CALL collocate_pgf_product(la_max(iset), zeta(ipgf, iset), &
    1180             :                                        la_min(iset), lb_max(jset), zetb(jpgf, jset), lb_min(jset), &
    1181             :                                        ra, rab, scale, jpab_c, na1 - 1, nb1 - 1, &
    1182             :                                        radius=radius, &
    1183             :                                        ga_gb_function=adbmdab_func, &
    1184       20574 :                                        rsgrid=current_env%rs_buf(igrid_level))
    1185             :             CALL collocate_gauge_ortho(rsgrid=current_env%rs_buf(igrid_level), &
    1186             :                                        rsbuf=rs_current(igrid_level), &
    1187             :                                        rsgauge=rs_gauge(iiB, igrid_level), &
    1188             :                                        cube_info=cube_info(igrid_level), radius=radius, &
    1189             :                                        zeta=zeta(ipgf, iset), zetb=zetb(jpgf, jset), &
    1190       20574 :                                        ra=ra, rab=rab, ir=iiB)
    1191             :          ELSE
    1192             :             ! here the decontracted mat_jp_rii{ab} is multiplied by
    1193             :             !     f_{ab} = g_{a} (r - R_{b})_{iiB} (dg_{b}/dr)_{idir} -
    1194             :             !             (dg_{a}/dr)_{idir} (r - R_{b})_{iiB} g_{b}
    1195             :             scale = 1.0_dp
    1196             :             CALL collocate_pgf_product(la_max(iset), zeta(ipgf, iset), &
    1197             :                                        la_min(iset), lb_max(jset), zetb(jpgf, jset), lb_min(jset), &
    1198             :                                        ra, rab, scale, jpab_b, na1 - 1, nb1 - 1, &
    1199             :                                        rs_current(igrid_level), &
    1200             :                                        radius=radius, &
    1201      143889 :                                        ga_gb_function=encode_ardbmdarb_func(idir=idir, ir=iiiB))
    1202             :             ! here the decontracted mat_jp_riii{ab} is multiplied by
    1203             :             !     f_{ab} = -g_{a} (r - R_{b})_{iiB} (dg_{b}/dr)_{idir} +
    1204             :             !             (dg_{a}/dr)_{idir} (r - R_{b})_{iiB} g_{b}
    1205      143889 :             scale = -1.0_dp
    1206             :             CALL collocate_pgf_product(la_max(iset), zeta(ipgf, iset), &
    1207             :                                        la_min(iset), lb_max(jset), zetb(jpgf, jset), lb_min(jset), &
    1208             :                                        ra, rab, scale, jpab_c, na1 - 1, nb1 - 1, &
    1209             :                                        rs_current(igrid_level), &
    1210             :                                        radius=radius, &
    1211      143889 :                                        ga_gb_function=encode_ardbmdarb_func(idir=idir, ir=iiB))
    1212             :          END IF
    1213             : 
    1214             :       END DO loop_tasks
    1215             :       !
    1216             :       ! Scale the density with the gauge rho * ( r - d(r) ) if needed
    1217        2394 :       IF (do_igaim) THEN
    1218        1764 :          DO igrid_level = 1, gridlevel_info%ngrid_levels
    1219             :             CALL rs_grid_mult_and_add(rs_current(igrid_level), rs_rho(igrid_level), &
    1220        1764 :                                       rs_gauge(idir2, igrid_level), 1.0_dp)
    1221             :          END DO
    1222             :       END IF
    1223             :       !   *** Release work storage ***
    1224             : 
    1225        2394 :       IF (distributed_rs_grids) THEN
    1226           0 :          CALL dbcsr_deallocate_matrix(deltajp_a(1)%matrix)
    1227           0 :          CALL dbcsr_deallocate_matrix(deltajp_b(1)%matrix)
    1228           0 :          CALL dbcsr_deallocate_matrix(deltajp_c(1)%matrix)
    1229           0 :          IF (do_igaim) CALL dbcsr_deallocate_matrix(deltajp_d(1)%matrix)
    1230             :       END IF
    1231        2394 :       DEALLOCATE (deltajp_a, deltajp_b, deltajp_c, deltajp_d)
    1232             : 
    1233        2394 :       DEALLOCATE (jpabt_a, jpabt_b, jpabt_c, jpabt_d, workt, tasks)
    1234             : 
    1235        2394 :       IF (ASSOCIATED(atom_pair_send)) DEALLOCATE (atom_pair_send)
    1236        2394 :       IF (ASSOCIATED(atom_pair_recv)) DEALLOCATE (atom_pair_recv)
    1237             : 
    1238        2394 :       CALL density_rs2pw(pw_env, rs_current, current_rs, current_gs)
    1239       11934 :       DO i = 1, SIZE(rs_current)
    1240       11934 :          CALL rs_grid_release(rs_current(i))
    1241             :       END DO
    1242             : 
    1243       11934 :       DO i = 1, SIZE(rs_rho)
    1244       11934 :          IF (rs_descs(i)%rs_desc%distributed .AND. .NOT. my_retain_rsgrid) THEN
    1245           0 :             CALL rs_grid_release(rs_rho(i))
    1246             :          END IF
    1247             :       END DO
    1248             : 
    1249             :       ! Free the array of grids (grids themselves are released in density_rs2pw)
    1250        2394 :       DEALLOCATE (rs_current)
    1251             : 
    1252        2394 :       CALL timestop(handle)
    1253             : 
    1254        7182 :    END SUBROUTINE calculate_jrho_resp
    1255             : 
    1256             : ! **************************************************************************************************
    1257             : !> \brief ...
    1258             : !> \param idir ...
    1259             : !> \param ir ...
    1260             : !> \return ...
    1261             : ! **************************************************************************************************
    1262      287778 :    FUNCTION encode_ardbmdarb_func(idir, ir) RESULT(func)
    1263             :       INTEGER, INTENT(IN)                                :: idir, ir
    1264             :       INTEGER                                            :: func
    1265             : 
    1266      287778 :       CPASSERT(1 <= idir .AND. idir <= 3 .AND. 1 <= ir .AND. ir <= 3)
    1267      287778 :       SELECT CASE (10*idir + ir)
    1268             :       CASE (11)
    1269       32801 :          func = GRID_FUNC_ARDBmDARB_XX
    1270             :       CASE (12)
    1271       32801 :          func = GRID_FUNC_ARDBmDARB_XY
    1272             :       CASE (13)
    1273       32801 :          func = GRID_FUNC_ARDBmDARB_XZ
    1274             :       CASE (21)
    1275       32801 :          func = GRID_FUNC_ARDBmDARB_YX
    1276             :       CASE (22)
    1277       30324 :          func = GRID_FUNC_ARDBmDARB_YY
    1278             :       CASE (23)
    1279       32801 :          func = GRID_FUNC_ARDBmDARB_YZ
    1280             :       CASE (31)
    1281       32801 :          func = GRID_FUNC_ARDBmDARB_ZX
    1282             :       CASE (32)
    1283       32801 :          func = GRID_FUNC_ARDBmDARB_ZY
    1284             :       CASE (33)
    1285       30324 :          func = GRID_FUNC_ARDBmDARB_ZZ
    1286             :       CASE DEFAULT
    1287      287778 :          CPABORT("invalid idir or iiiB")
    1288             :       END SELECT
    1289      287778 :    END FUNCTION encode_ardbmdarb_func
    1290             : 
    1291             : ! **************************************************************************************************
    1292             : !> \brief ...
    1293             : !> \param rsgrid ...
    1294             : !> \param rsbuf ...
    1295             : !> \param rsgauge ...
    1296             : !> \param cube_info ...
    1297             : !> \param radius ...
    1298             : !> \param ra ...
    1299             : !> \param rab ...
    1300             : !> \param zeta ...
    1301             : !> \param zetb ...
    1302             : !> \param ir ...
    1303             : ! **************************************************************************************************
    1304       41148 :    SUBROUTINE collocate_gauge_ortho(rsgrid, rsbuf, rsgauge, cube_info, radius, ra, rab, zeta, zetb, ir)
    1305             :       TYPE(realspace_grid_type)                          :: rsgrid, rsbuf, rsgauge
    1306             :       TYPE(cube_info_type), INTENT(IN)                   :: cube_info
    1307             :       REAL(KIND=dp), INTENT(IN)                          :: radius
    1308             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: ra, rab
    1309             :       REAL(KIND=dp), INTENT(IN)                          :: zeta, zetb
    1310             :       INTEGER, INTENT(IN)                                :: ir
    1311             : 
    1312             :       INTEGER                                            :: cmax, i, ig, igmax, igmin, j, j2, jg, &
    1313             :                                                             jg2, jgmin, k, k2, kg, kg2, kgmin, &
    1314             :                                                             length, offset, sci, start
    1315       41148 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: map
    1316             :       INTEGER, DIMENSION(3)                              :: cubecenter, lb_cube, ng, ub_cube
    1317       41148 :       INTEGER, DIMENSION(:), POINTER                     :: sphere_bounds
    1318             :       REAL(KIND=dp)                                      :: f, point(3, 4), res(4), x, y, y2, z, z2, &
    1319             :                                                             zetp
    1320             :       REAL(KIND=dp), DIMENSION(3)                        :: dr, rap, rb, rbp, roffset, rp
    1321       41148 :       REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: gauge, grid, grid_buf
    1322             : 
    1323           0 :       CPASSERT(rsgrid%desc%orthorhombic)
    1324       41148 :       NULLIFY (sphere_bounds)
    1325             : 
    1326       41148 :       grid => rsgrid%r(:, :, :)
    1327       41148 :       grid_buf => rsbuf%r(:, :, :)
    1328       41148 :       gauge => rsgauge%r(:, :, :)
    1329             : 
    1330             :       ! *** center of gaussians and their product
    1331       41148 :       zetp = zeta + zetb
    1332       41148 :       f = zetb/zetp
    1333      164592 :       rap(:) = f*rab(:)
    1334      164592 :       rbp(:) = rap(:) - rab(:)
    1335      164592 :       rp(:) = ra(:) + rap(:)
    1336      164592 :       rb(:) = ra(:) + rab(:)
    1337             : 
    1338             :       !   *** properties of the grid ***
    1339      164592 :       ng(:) = rsgrid%desc%npts(:)
    1340       41148 :       dr(1) = rsgrid%desc%dh(1, 1)
    1341       41148 :       dr(2) = rsgrid%desc%dh(2, 2)
    1342       41148 :       dr(3) = rsgrid%desc%dh(3, 3)
    1343             : 
    1344             :       !   *** get the sub grid properties for the given radius ***
    1345       41148 :       CALL return_cube(cube_info, radius, lb_cube, ub_cube, sphere_bounds)
    1346      164592 :       cmax = MAXVAL(ub_cube)
    1347             : 
    1348             :       !   *** position of the gaussian product
    1349             :       !
    1350             :       !   this is the actual definition of the position on the grid
    1351             :       !   i.e. a point rp(:) gets here grid coordinates
    1352             :       !   MODULO(rp(:)/dr(:),ng(:))+1
    1353             :       !   hence (0.0,0.0,0.0) in real space is rsgrid%lb on the rsgrid ((1,1,1) on grid)
    1354             :       !
    1355      164592 :       ALLOCATE (map(-cmax:cmax, 3))
    1356     3221964 :       map(:, :) = -1
    1357       41148 :       CALL compute_cube_center(cubecenter, rsgrid%desc, zeta, zetb, ra, rab)
    1358      164592 :       roffset(:) = rp(:) - REAL(cubecenter(:), dp)*dr(:)
    1359             : 
    1360             :       !   *** a mapping so that the ig corresponds to the right grid point
    1361      164592 :       DO i = 1, 3
    1362      164592 :          IF (rsgrid%desc%perd(i) == 1) THEN
    1363      123444 :             start = lb_cube(i)
    1364      123354 :             DO
    1365      246798 :                offset = MODULO(cubecenter(i) + start, ng(i)) + 1 - start
    1366      246798 :                length = MIN(ub_cube(i), ng(i) - offset) - start
    1367     3180726 :                DO ig = start, start + length
    1368     3180726 :                   map(ig, i) = ig + offset
    1369             :                END DO
    1370      246798 :                IF (start + length .GE. ub_cube(i)) EXIT
    1371      123354 :                start = start + length + 1
    1372             :             END DO
    1373             :          ELSE
    1374             :             ! this takes partial grid + border regions into account
    1375           0 :             offset = MODULO(cubecenter(i) + lb_cube(i) + rsgrid%desc%lb(i) - rsgrid%lb_local(i), ng(i)) + 1 - lb_cube(i)
    1376             :             ! check for out of bounds
    1377           0 :             IF (ub_cube(i) + offset > UBOUND(grid, i) .OR. lb_cube(i) + offset < LBOUND(grid, i)) THEN
    1378           0 :                CPASSERT(.FALSE.)
    1379             :             END IF
    1380           0 :             DO ig = lb_cube(i), ub_cube(i)
    1381           0 :                map(ig, i) = ig + offset
    1382             :             END DO
    1383             :          END IF
    1384             :       END DO
    1385             : 
    1386             :       ! *** actually loop over the grid
    1387       41148 :       sci = 1
    1388       41148 :       kgmin = sphere_bounds(sci)
    1389       41148 :       sci = sci + 1
    1390      530136 :       DO kg = kgmin, 0
    1391      488988 :          kg2 = 1 - kg
    1392      488988 :          k = map(kg, 3)
    1393      488988 :          k2 = map(kg2, 3)
    1394      488988 :          jgmin = sphere_bounds(sci)
    1395      488988 :          sci = sci + 1
    1396      488988 :          z = (REAL(kg, dp) + REAL(cubecenter(3), dp))*dr(3)
    1397      488988 :          z2 = (REAL(kg2, dp) + REAL(cubecenter(3), dp))*dr(3)
    1398     5604174 :          DO jg = jgmin, 0
    1399     5074038 :             jg2 = 1 - jg
    1400     5074038 :             j = map(jg, 2)
    1401     5074038 :             j2 = map(jg2, 2)
    1402     5074038 :             igmin = sphere_bounds(sci)
    1403     5074038 :             sci = sci + 1
    1404     5074038 :             igmax = 1 - igmin
    1405     5074038 :             y = (REAL(jg, dp) + REAL(cubecenter(2), dp))*dr(2)
    1406     5074038 :             y2 = (REAL(jg2, dp) + REAL(cubecenter(2), dp))*dr(2)
    1407   118256958 :             DO ig = igmin, igmax
    1408   112693932 :                i = map(ig, 1)
    1409   112693932 :                x = (REAL(ig, dp) + REAL(cubecenter(1), dp))*dr(1)
    1410   112693932 :                point(1, 1) = x; point(2, 1) = y; point(3, 1) = z
    1411   112693932 :                point(1, 2) = x; point(2, 2) = y2; point(3, 2) = z
    1412   112693932 :                point(1, 3) = x; point(2, 3) = y; point(3, 3) = z2
    1413   112693932 :                point(1, 4) = x; point(2, 4) = y2; point(3, 4) = z2
    1414             :                !
    1415   112693932 :                res(1) = (point(ir, 1) - rb(ir)) - gauge(i, j, k)
    1416   112693932 :                res(2) = (point(ir, 2) - rb(ir)) - gauge(i, j2, k)
    1417   112693932 :                res(3) = (point(ir, 3) - rb(ir)) - gauge(i, j, k2)
    1418   112693932 :                res(4) = (point(ir, 4) - rb(ir)) - gauge(i, j2, k2)
    1419             :                !
    1420   112693932 :                grid_buf(i, j, k) = grid_buf(i, j, k) + grid(i, j, k)*res(1)
    1421   112693932 :                grid_buf(i, j2, k) = grid_buf(i, j2, k) + grid(i, j2, k)*res(2)
    1422   112693932 :                grid_buf(i, j, k2) = grid_buf(i, j, k2) + grid(i, j, k2)*res(3)
    1423   117767970 :                grid_buf(i, j2, k2) = grid_buf(i, j2, k2) + grid(i, j2, k2)*res(4)
    1424             :             END DO
    1425             :          END DO
    1426             :       END DO
    1427       82296 :    END SUBROUTINE collocate_gauge_ortho
    1428             : 
    1429             : ! **************************************************************************************************
    1430             : !> \brief ...
    1431             : !> \param current_env ...
    1432             : !> \param qs_env ...
    1433             : ! **************************************************************************************************
    1434          28 :    SUBROUTINE current_set_gauge(current_env, qs_env)
    1435             :       !
    1436             :       TYPE(current_env_type)                   :: current_env
    1437             :       TYPE(qs_environment_type), POINTER       :: qs_env
    1438             : 
    1439             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'current_set_gauge'
    1440             : 
    1441             :       INTEGER :: idir
    1442             :       REAL(dp)                                 :: dbox(3)
    1443          28 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)    :: box_data
    1444             :       INTEGER                                  :: handle, igrid_level, nbox(3), gauge
    1445          28 :       INTEGER, ALLOCATABLE, DIMENSION(:, :, :) :: box_ptr
    1446             :       TYPE(realspace_grid_desc_p_type), DIMENSION(:), &
    1447          28 :          POINTER                                :: rs_descs
    1448             :       TYPE(pw_env_type), POINTER               :: pw_env
    1449          28 :       TYPE(realspace_grid_type), DIMENSION(:, :), POINTER :: rs_gauge
    1450             : 
    1451          28 :       TYPE(box_type), DIMENSION(:, :, :), POINTER :: box
    1452             :       LOGICAL                                   :: use_old_gauge_atom
    1453             : 
    1454          28 :       NULLIFY (rs_gauge, box)
    1455             : 
    1456          28 :       CALL timeset(routineN, handle)
    1457             : 
    1458             :       CALL get_current_env(current_env=current_env, &
    1459             :                            use_old_gauge_atom=use_old_gauge_atom, &
    1460             :                            rs_gauge=rs_gauge, &
    1461          28 :                            gauge=gauge)
    1462             : 
    1463          28 :       IF (gauge .EQ. current_gauge_atom) THEN
    1464             :          CALL get_qs_env(qs_env=qs_env, &
    1465          28 :                          pw_env=pw_env)
    1466             :          CALL pw_env_get(pw_env=pw_env, &
    1467          28 :                          rs_descs=rs_descs)
    1468             :          !
    1469             :          ! box the atoms
    1470          28 :          IF (use_old_gauge_atom) THEN
    1471          22 :             CALL box_atoms(qs_env)
    1472             :          ELSE
    1473           6 :             CALL box_atoms_new(current_env, qs_env, box)
    1474             :          END IF
    1475             :          !
    1476             :          ! allocate and build the gauge
    1477         136 :          DO igrid_level = pw_env%gridlevel_info%ngrid_levels, 1, -1
    1478             : 
    1479         432 :             DO idir = 1, 3
    1480         432 :                CALL rs_grid_create(rs_gauge(idir, igrid_level), rs_descs(igrid_level)%rs_desc)
    1481             :             END DO
    1482             : 
    1483         136 :             IF (use_old_gauge_atom) THEN
    1484             :                CALL collocate_gauge(current_env, qs_env, &
    1485             :                                     rs_gauge(1, igrid_level), &
    1486             :                                     rs_gauge(2, igrid_level), &
    1487          88 :                                     rs_gauge(3, igrid_level))
    1488             :             ELSE
    1489             :                CALL collocate_gauge_new(current_env, qs_env, &
    1490             :                                         rs_gauge(1, igrid_level), &
    1491             :                                         rs_gauge(2, igrid_level), &
    1492             :                                         rs_gauge(3, igrid_level), &
    1493          20 :                                         box)
    1494             :             END IF
    1495             :          END DO
    1496             :          !
    1497             :          ! allocate the buf
    1498         724 :          ALLOCATE (current_env%rs_buf(pw_env%gridlevel_info%ngrid_levels))
    1499         136 :          DO igrid_level = 1, pw_env%gridlevel_info%ngrid_levels
    1500         136 :             CALL rs_grid_create(current_env%rs_buf(igrid_level), rs_descs(igrid_level)%rs_desc)
    1501             :          END DO
    1502             :          !
    1503          28 :          DEALLOCATE (box_ptr, box_data)
    1504          28 :          CALL deallocate_box(box)
    1505             :       END IF
    1506             : 
    1507          56 :       CALL timestop(handle)
    1508             : 
    1509             :    CONTAINS
    1510             : 
    1511             : ! **************************************************************************************************
    1512             : !> \brief ...
    1513             : !> \param qs_env ...
    1514             : ! **************************************************************************************************
    1515          22 :       SUBROUTINE box_atoms(qs_env)
    1516             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1517             : 
    1518             :       REAL(kind=dp), PARAMETER                           :: box_size_guess = 5.0_dp
    1519             : 
    1520             :       INTEGER                                            :: i, iatom, ibox, ii, jbox, kbox, natms
    1521             :       REAL(dp)                                           :: offset(3)
    1522          22 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: ratom
    1523             :       TYPE(cell_type), POINTER                           :: cell
    1524          22 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1525          22 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    1526             : 
    1527             :          CALL get_qs_env(qs_env=qs_env, &
    1528             :                          qs_kind_set=qs_kind_set, &
    1529             :                          cell=cell, &
    1530          22 :                          particle_set=particle_set)
    1531             : 
    1532          22 :          natms = SIZE(particle_set, 1)
    1533          66 :          ALLOCATE (ratom(3, natms))
    1534             :          !
    1535             :          ! box the atoms
    1536          22 :          nbox(1) = CEILING(cell%hmat(1, 1)/box_size_guess)
    1537          22 :          nbox(2) = CEILING(cell%hmat(2, 2)/box_size_guess)
    1538          22 :          nbox(3) = CEILING(cell%hmat(3, 3)/box_size_guess)
    1539             :          !write(*,*) 'nbox',nbox
    1540          22 :          dbox(1) = cell%hmat(1, 1)/REAL(nbox(1), dp)
    1541          22 :          dbox(2) = cell%hmat(2, 2)/REAL(nbox(2), dp)
    1542          22 :          dbox(3) = cell%hmat(3, 3)/REAL(nbox(3), dp)
    1543             :          !write(*,*) 'dbox',dbox
    1544         132 :          ALLOCATE (box_ptr(0:nbox(1), 0:nbox(2) - 1, 0:nbox(3) - 1), box_data(3, natms))
    1545         390 :          box_data(:, :) = HUGE(0.0_dp)
    1546         418 :          box_ptr(:, :, :) = HUGE(0)
    1547             :          !
    1548          22 :          offset(1) = cell%hmat(1, 1)*0.5_dp
    1549          22 :          offset(2) = cell%hmat(2, 2)*0.5_dp
    1550          22 :          offset(3) = cell%hmat(3, 3)*0.5_dp
    1551         114 :          DO iatom = 1, natms
    1552         390 :             ratom(:, iatom) = pbc(particle_set(iatom)%r(:), cell) + offset(:)
    1553             :          END DO
    1554             :          !
    1555          22 :          i = 1
    1556          66 :          DO kbox = 0, nbox(3) - 1
    1557         154 :          DO jbox = 0, nbox(2) - 1
    1558          88 :             box_ptr(0, jbox, kbox) = i
    1559         308 :             DO ibox = 0, nbox(1) - 1
    1560             :                ii = 0
    1561         912 :                DO iatom = 1, natms
    1562             :                   IF (INT(ratom(1, iatom)/dbox(1)) .EQ. ibox .AND. &
    1563         736 :                       INT(ratom(2, iatom)/dbox(2)) .EQ. jbox .AND. &
    1564         176 :                       INT(ratom(3, iatom)/dbox(3)) .EQ. kbox) THEN
    1565         368 :                      box_data(:, i) = ratom(:, iatom) - offset(:)
    1566          92 :                      i = i + 1
    1567          92 :                      ii = ii + 1
    1568             :                   END IF
    1569             :                END DO
    1570         264 :                box_ptr(ibox + 1, jbox, kbox) = box_ptr(ibox, jbox, kbox) + ii
    1571             :             END DO
    1572             :          END DO
    1573             :          END DO
    1574             :          !
    1575             :          IF (.FALSE.) THEN
    1576             :             DO kbox = 0, nbox(3) - 1
    1577             :             DO jbox = 0, nbox(2) - 1
    1578             :             DO ibox = 0, nbox(1) - 1
    1579             :                WRITE (*, *) 'box=', ibox, jbox, kbox
    1580             :                WRITE (*, *) 'nbr atom=', box_ptr(ibox + 1, jbox, kbox) - box_ptr(ibox, jbox, kbox)
    1581             :                DO iatom = box_ptr(ibox, jbox, kbox), box_ptr(ibox + 1, jbox, kbox) - 1
    1582             :                   WRITE (*, *) 'iatom=', iatom
    1583             :                   WRITE (*, '(A,3E14.6)') 'coor=', box_data(:, iatom)
    1584             :                END DO
    1585             :             END DO
    1586             :             END DO
    1587             :             END DO
    1588             :          END IF
    1589          22 :          DEALLOCATE (ratom)
    1590          22 :       END SUBROUTINE box_atoms
    1591             : 
    1592             : ! **************************************************************************************************
    1593             : !> \brief ...
    1594             : !> \param current_env ...
    1595             : !> \param qs_env ...
    1596             : !> \param rs_grid_x ...
    1597             : !> \param rs_grid_y ...
    1598             : !> \param rs_grid_z ...
    1599             : ! **************************************************************************************************
    1600          88 :       SUBROUTINE collocate_gauge(current_env, qs_env, rs_grid_x, rs_grid_y, rs_grid_z)
    1601             :          !
    1602             :       TYPE(current_env_type)                             :: current_env
    1603             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1604             :       TYPE(realspace_grid_type), INTENT(IN)              :: rs_grid_x, rs_grid_y, rs_grid_z
    1605             : 
    1606             :       INTEGER                                            :: i, iatom, ibeg, ibox, iend, imax, imin, &
    1607             :                                                             j, jatom, jbox, jmax, jmin, k, kbox, &
    1608             :                                                             kmax, kmin, lb(3), lb_local(3), natms, &
    1609             :                                                             natms_local, ng(3)
    1610             :       REAL(KIND=dp)                                      :: ab, buf_tmp, dist, dr(3), &
    1611             :                                                             gauge_atom_radius, offset(3), pa, pb, &
    1612             :                                                             point(3), pra(3), r(3), res(3), summe, &
    1613             :                                                             tmp, x, y, z
    1614          88 :       REAL(kind=dp), ALLOCATABLE, DIMENSION(:)           :: buf, nrm_atms_pnt
    1615          88 :       REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :)        :: atms_pnt, ratom
    1616          88 :       REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: grid_x, grid_y, grid_z
    1617             :       TYPE(cell_type), POINTER                           :: cell
    1618          88 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1619          88 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    1620             : 
    1621             : !
    1622             : 
    1623             :          CALL get_current_env(current_env=current_env, &
    1624          88 :                               gauge_atom_radius=gauge_atom_radius)
    1625             :          !
    1626             :          CALL get_qs_env(qs_env=qs_env, &
    1627             :                          qs_kind_set=qs_kind_set, &
    1628             :                          cell=cell, &
    1629          88 :                          particle_set=particle_set)
    1630             :          !
    1631          88 :          natms = SIZE(particle_set, 1)
    1632          88 :          dr(1) = rs_grid_x%desc%dh(1, 1)
    1633          88 :          dr(2) = rs_grid_x%desc%dh(2, 2)
    1634          88 :          dr(3) = rs_grid_x%desc%dh(3, 3)
    1635         352 :          lb(:) = rs_grid_x%desc%lb(:)
    1636         352 :          lb_local(:) = rs_grid_x%lb_local(:)
    1637          88 :          grid_x => rs_grid_x%r(:, :, :)
    1638          88 :          grid_y => rs_grid_y%r(:, :, :)
    1639          88 :          grid_z => rs_grid_z%r(:, :, :)
    1640         352 :          ng(:) = UBOUND(grid_x)
    1641          88 :          offset(1) = cell%hmat(1, 1)*0.5_dp
    1642          88 :          offset(2) = cell%hmat(2, 2)*0.5_dp
    1643          88 :          offset(3) = cell%hmat(3, 3)*0.5_dp
    1644         616 :          ALLOCATE (buf(natms), ratom(3, natms), atms_pnt(3, natms), nrm_atms_pnt(natms))
    1645             :          !
    1646             :          ! go over the grid
    1647        1350 :          DO k = 1, ng(3)
    1648       26188 :             DO j = 1, ng(2)
    1649      618230 :                DO i = 1, ng(1)
    1650             :                   !
    1651      592130 :                   point(3) = REAL(k - 1 + lb_local(3) - lb(3), dp)*dr(3)
    1652      592130 :                   point(2) = REAL(j - 1 + lb_local(2) - lb(2), dp)*dr(2)
    1653      592130 :                   point(1) = REAL(i - 1 + lb_local(1) - lb(1), dp)*dr(1)
    1654     2368520 :                   point = pbc(point, cell)
    1655             :                   !
    1656             :                   ! run over the overlaping boxes
    1657      592130 :                   natms_local = 0
    1658      592130 :                   kmin = INT((point(3) + offset(3) - gauge_atom_radius)/dbox(3))
    1659      592130 :                   kmax = INT((point(3) + offset(3) + gauge_atom_radius)/dbox(3))
    1660      592130 :                   IF (kmax - kmin + 1 .GT. nbox(3)) THEN
    1661      527618 :                      kmin = 0
    1662      527618 :                      kmax = nbox(3) - 1
    1663             :                   END IF
    1664     1735750 :                   DO kbox = kmin, kmax
    1665     1143620 :                      jmin = INT((point(2) + offset(2) - gauge_atom_radius)/dbox(2))
    1666     1143620 :                      jmax = INT((point(2) + offset(2) + gauge_atom_radius)/dbox(2))
    1667     1143620 :                      IF (jmax - jmin + 1 .GT. nbox(2)) THEN
    1668     1055236 :                         jmin = 0
    1669     1055236 :                         jmax = nbox(2) - 1
    1670             :                      END IF
    1671     3967326 :                      DO jbox = jmin, jmax
    1672     2231576 :                         imin = INT((point(1) + offset(1) - gauge_atom_radius)/dbox(1))
    1673     2231576 :                         imax = INT((point(1) + offset(1) + gauge_atom_radius)/dbox(1))
    1674     2231576 :                         IF (imax - imin + 1 .GT. nbox(1)) THEN
    1675     2110472 :                            imin = 0
    1676     2110472 :                            imax = nbox(1) - 1
    1677             :                         END IF
    1678     7762096 :                         DO ibox = imin, imax
    1679     4386900 :                            ibeg = box_ptr(MODULO(ibox, nbox(1)), MODULO(jbox, nbox(2)), MODULO(kbox, nbox(3)))
    1680     4386900 :                            iend = box_ptr(MODULO(ibox, nbox(1)) + 1, MODULO(jbox, nbox(2)), MODULO(kbox, nbox(3))) - 1
    1681     9170920 :                            DO iatom = ibeg, iend
    1682    20419552 :                               r(:) = pbc(box_data(:, iatom) - point(:), cell) + point(:)
    1683     2552444 :                               dist = (r(1) - point(1))**2 + (r(2) - point(2))**2 + (r(3) - point(3))**2
    1684     6939344 :                               IF (dist .LT. gauge_atom_radius**2) THEN
    1685     2505134 :                                  natms_local = natms_local + 1
    1686    10020536 :                                  ratom(:, natms_local) = r(:)
    1687             :                                  !
    1688             :                                  ! compute the distance atoms-point
    1689     2505134 :                                  x = point(1) - r(1)
    1690     2505134 :                                  y = point(2) - r(2)
    1691     2505134 :                                  z = point(3) - r(3)
    1692     2505134 :                                  atms_pnt(1, natms_local) = x
    1693     2505134 :                                  atms_pnt(2, natms_local) = y
    1694     2505134 :                                  atms_pnt(3, natms_local) = z
    1695     2505134 :                                  nrm_atms_pnt(natms_local) = SQRT(x*x + y*y + z*z)
    1696             :                               END IF
    1697             :                            END DO
    1698             :                         END DO
    1699             :                      END DO
    1700             :                   END DO
    1701             :                   !
    1702      616968 :                   IF (natms_local .GT. 0) THEN
    1703             :                      !
    1704             :                      !
    1705     3034004 :                      DO iatom = 1, natms_local
    1706     2505134 :                         buf_tmp = 1.0_dp
    1707     2505134 :                         pra(1) = atms_pnt(1, iatom)
    1708     2505134 :                         pra(2) = atms_pnt(2, iatom)
    1709     2505134 :                         pra(3) = atms_pnt(3, iatom)
    1710     2505134 :                         pa = nrm_atms_pnt(iatom)
    1711    15477460 :                         DO jatom = 1, natms_local
    1712    12972326 :                            IF (iatom .EQ. jatom) CYCLE
    1713    10467192 :                            pb = nrm_atms_pnt(jatom)
    1714    10467192 :                            x = pra(1) - atms_pnt(1, jatom)
    1715    10467192 :                            y = pra(2) - atms_pnt(2, jatom)
    1716    10467192 :                            z = pra(3) - atms_pnt(3, jatom)
    1717    10467192 :                            ab = SQRT(x*x + y*y + z*z)
    1718             :                            !
    1719    10467192 :                            tmp = (pa - pb)/ab
    1720    10467192 :                            tmp = 0.5_dp*(3.0_dp - tmp*tmp)*tmp
    1721    10467192 :                            tmp = 0.5_dp*(3.0_dp - tmp*tmp)*tmp
    1722    10467192 :                            tmp = 0.5_dp*(3.0_dp - tmp*tmp)*tmp
    1723    15477460 :                            buf_tmp = buf_tmp*0.5_dp*(1.0_dp - tmp)
    1724             :                         END DO
    1725     3034004 :                         buf(iatom) = buf_tmp
    1726             :                      END DO
    1727             :                      res(1) = 0.0_dp
    1728             :                      res(2) = 0.0_dp
    1729             :                      res(3) = 0.0_dp
    1730             :                      summe = 0.0_dp
    1731     3034004 :                      DO iatom = 1, natms_local
    1732     2505134 :                         res(1) = res(1) + ratom(1, iatom)*buf(iatom)
    1733     2505134 :                         res(2) = res(2) + ratom(2, iatom)*buf(iatom)
    1734     2505134 :                         res(3) = res(3) + ratom(3, iatom)*buf(iatom)
    1735     3034004 :                         summe = summe + buf(iatom)
    1736             :                      END DO
    1737      528870 :                      res(1) = res(1)/summe
    1738      528870 :                      res(2) = res(2)/summe
    1739      528870 :                      res(3) = res(3)/summe
    1740      528870 :                      grid_x(i, j, k) = point(1) - res(1)
    1741      528870 :                      grid_y(i, j, k) = point(2) - res(2)
    1742      528870 :                      grid_z(i, j, k) = point(3) - res(3)
    1743             :                   ELSE
    1744       63260 :                      grid_x(i, j, k) = 0.0_dp
    1745       63260 :                      grid_y(i, j, k) = 0.0_dp
    1746       63260 :                      grid_z(i, j, k) = 0.0_dp
    1747             :                   END IF
    1748             :                END DO
    1749             :             END DO
    1750             :          END DO
    1751             : 
    1752          88 :          DEALLOCATE (buf, ratom, atms_pnt, nrm_atms_pnt)
    1753             : 
    1754          88 :       END SUBROUTINE collocate_gauge
    1755             : 
    1756             : ! **************************************************************************************************
    1757             : !> \brief ...
    1758             : !> \param current_env ...
    1759             : !> \param qs_env ...
    1760             : !> \param box ...
    1761             : ! **************************************************************************************************
    1762           6 :       SUBROUTINE box_atoms_new(current_env, qs_env, box)
    1763             :       TYPE(current_env_type)                             :: current_env
    1764             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1765             :       TYPE(box_type), DIMENSION(:, :, :), POINTER        :: box
    1766             : 
    1767             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'box_atoms_new'
    1768             : 
    1769             :       INTEGER                                            :: handle, i, iatom, ibeg, ibox, iend, &
    1770             :                                                             ifind, ii, imax, imin, j, jatom, jbox, &
    1771             :                                                             jmax, jmin, k, kbox, kmax, kmin, &
    1772             :                                                             natms, natms_local
    1773             :       REAL(dp)                                           :: gauge_atom_radius, offset(3), scale
    1774           6 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: ratom
    1775           6 :       REAL(dp), DIMENSION(:, :), POINTER                 :: r_ptr
    1776             :       REAL(kind=dp)                                      :: box_center(3), box_center_wrap(3), &
    1777             :                                                             box_size_guess, r(3)
    1778             :       TYPE(cell_type), POINTER                           :: cell
    1779           6 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1780           6 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    1781             : 
    1782           6 :          CALL timeset(routineN, handle)
    1783             : 
    1784             :          CALL get_qs_env(qs_env=qs_env, &
    1785             :                          qs_kind_set=qs_kind_set, &
    1786             :                          cell=cell, &
    1787           6 :                          particle_set=particle_set)
    1788             : 
    1789             :          CALL get_current_env(current_env=current_env, &
    1790           6 :                               gauge_atom_radius=gauge_atom_radius)
    1791             : 
    1792           6 :          scale = 2.0_dp
    1793             : 
    1794           6 :          box_size_guess = gauge_atom_radius/scale
    1795             : 
    1796           6 :          natms = SIZE(particle_set, 1)
    1797          18 :          ALLOCATE (ratom(3, natms))
    1798             : 
    1799             :          !
    1800             :          ! box the atoms
    1801           6 :          nbox(1) = CEILING(cell%hmat(1, 1)/box_size_guess)
    1802           6 :          nbox(2) = CEILING(cell%hmat(2, 2)/box_size_guess)
    1803           6 :          nbox(3) = CEILING(cell%hmat(3, 3)/box_size_guess)
    1804           6 :          dbox(1) = cell%hmat(1, 1)/REAL(nbox(1), dp)
    1805           6 :          dbox(2) = cell%hmat(2, 2)/REAL(nbox(2), dp)
    1806           6 :          dbox(3) = cell%hmat(3, 3)/REAL(nbox(3), dp)
    1807          36 :          ALLOCATE (box_ptr(0:nbox(1), 0:nbox(2) - 1, 0:nbox(3) - 1), box_data(3, natms))
    1808          62 :          box_data(:, :) = HUGE(0.0_dp)
    1809       27054 :          box_ptr(:, :, :) = HUGE(0)
    1810             :          !
    1811           6 :          offset(1) = cell%hmat(1, 1)*0.5_dp
    1812           6 :          offset(2) = cell%hmat(2, 2)*0.5_dp
    1813           6 :          offset(3) = cell%hmat(3, 3)*0.5_dp
    1814          20 :          DO iatom = 1, natms
    1815          20 :             ratom(:, iatom) = pbc(particle_set(iatom)%r(:), cell)
    1816             :          END DO
    1817             :          !
    1818           6 :          i = 1
    1819          88 :          DO kbox = 0, nbox(3) - 1
    1820        1430 :          DO jbox = 0, nbox(2) - 1
    1821        1342 :             box_ptr(0, jbox, kbox) = i
    1822       25706 :             DO ibox = 0, nbox(1) - 1
    1823       24282 :                ii = 0
    1824       88846 :                DO iatom = 1, natms
    1825             :                   IF (MODULO(FLOOR(ratom(1, iatom)/dbox(1)), nbox(1)) .EQ. ibox .AND. &
    1826       64564 :                       MODULO(FLOOR(ratom(2, iatom)/dbox(2)), nbox(2)) .EQ. jbox .AND. &
    1827       24282 :                       MODULO(FLOOR(ratom(3, iatom)/dbox(3)), nbox(3)) .EQ. kbox) THEN
    1828          56 :                      box_data(:, i) = ratom(:, iatom)
    1829          14 :                      i = i + 1
    1830          14 :                      ii = ii + 1
    1831             :                   END IF
    1832             :                END DO
    1833       25624 :                box_ptr(ibox + 1, jbox, kbox) = box_ptr(ibox, jbox, kbox) + ii
    1834             :             END DO
    1835             :          END DO
    1836             :          END DO
    1837             :          !
    1838             :          IF (.FALSE.) THEN
    1839             :             DO kbox = 0, nbox(3) - 1
    1840             :             DO jbox = 0, nbox(2) - 1
    1841             :             DO ibox = 0, nbox(1) - 1
    1842             :                IF (box_ptr(ibox + 1, jbox, kbox) - box_ptr(ibox, jbox, kbox) .GT. 0) THEN
    1843             :                   WRITE (*, *) 'box=', ibox, jbox, kbox
    1844             :                   WRITE (*, *) 'nbr atom=', box_ptr(ibox + 1, jbox, kbox) - box_ptr(ibox, jbox, kbox)
    1845             :                   DO iatom = box_ptr(ibox, jbox, kbox), box_ptr(ibox + 1, jbox, kbox) - 1
    1846             :                      WRITE (*, '(A,I3,3E14.6)') 'coor=', iatom, box_data(:, iatom)
    1847             :                   END DO
    1848             :                END IF
    1849             :             END DO
    1850             :             END DO
    1851             :             END DO
    1852             :          END IF
    1853             :          !
    1854           6 :          NULLIFY (box)
    1855       25736 :          ALLOCATE (box(0:nbox(1) - 1, 0:nbox(2) - 1, 0:nbox(3) - 1))
    1856             :          !
    1857             :          ! build the list
    1858          88 :          DO k = 0, nbox(3) - 1
    1859        1430 :          DO j = 0, nbox(2) - 1
    1860       25706 :          DO i = 0, nbox(1) - 1
    1861             :             !
    1862       24282 :             box_center(1) = (REAL(i, dp) + 0.5_dp)*dbox(1)
    1863       24282 :             box_center(2) = (REAL(j, dp) + 0.5_dp)*dbox(2)
    1864       24282 :             box_center(3) = (REAL(k, dp) + 0.5_dp)*dbox(3)
    1865       24282 :             box_center_wrap = pbc(box_center, cell)
    1866             :             !
    1867             :             ! find the atoms that are in the overlaping boxes
    1868       24282 :             natms_local = 0
    1869       24282 :             kmin = FLOOR((box_center(3) - gauge_atom_radius)/dbox(3))
    1870       24282 :             kmax = FLOOR((box_center(3) + gauge_atom_radius)/dbox(3))
    1871       24282 :             IF (kmax - kmin + 1 .GT. nbox(3)) THEN
    1872           0 :                kmin = 0
    1873           0 :                kmax = nbox(3) - 1
    1874             :             END IF
    1875      145692 :             DO kbox = kmin, kmax
    1876      121410 :                jmin = FLOOR((box_center(2) - gauge_atom_radius)/dbox(2))
    1877      121410 :                jmax = FLOOR((box_center(2) + gauge_atom_radius)/dbox(2))
    1878      121410 :                IF (jmax - jmin + 1 .GT. nbox(2)) THEN
    1879         450 :                   jmin = 0
    1880         450 :                   jmax = nbox(2) - 1
    1881             :                END IF
    1882      751842 :                DO jbox = jmin, jmax
    1883      606150 :                   imin = FLOOR((box_center(1) - gauge_atom_radius)/dbox(1))
    1884      606150 :                   imax = FLOOR((box_center(1) + gauge_atom_radius)/dbox(1))
    1885      606150 :                   IF (imax - imin + 1 .GT. nbox(1)) THEN
    1886        1350 :                      imin = 0
    1887        1350 :                      imax = nbox(1) - 1
    1888             :                   END IF
    1889     3755610 :                   DO ibox = imin, imax
    1890     3028050 :                      ibeg = box_ptr(MODULO(ibox, nbox(1)), MODULO(jbox, nbox(2)), MODULO(kbox, nbox(3)))
    1891     3028050 :                      iend = box_ptr(MODULO(ibox, nbox(1)) + 1, MODULO(jbox, nbox(2)), MODULO(kbox, nbox(3))) - 1
    1892     3635630 :                      DO iatom = ibeg, iend
    1893        5720 :                         r = pbc(box_center_wrap(:) - box_data(:, iatom), cell)
    1894             :                         IF (ABS(r(1)) .LE. (scale + 0.5_dp)*dbox(1) .AND. &
    1895        1430 :                             ABS(r(2)) .LE. (scale + 0.5_dp)*dbox(2) .AND. &
    1896     3028050 :                             ABS(r(3)) .LE. (scale + 0.5_dp)*dbox(3)) THEN
    1897        1430 :                            natms_local = natms_local + 1
    1898        5720 :                            ratom(:, natms_local) = box_data(:, iatom)
    1899             :                         END IF
    1900             :                      END DO
    1901             :                   END DO ! box
    1902             :                END DO
    1903             :             END DO
    1904             :             !
    1905             :             ! set the list
    1906       24282 :             box(i, j, k)%n = natms_local
    1907       24282 :             NULLIFY (box(i, j, k)%r)
    1908       25624 :             IF (natms_local .GT. 0) THEN
    1909        3840 :                ALLOCATE (box(i, j, k)%r(3, natms_local))
    1910        1280 :                r_ptr => box(i, j, k)%r
    1911        1280 :                CALL dcopy(3*natms_local, ratom(1, 1), 1, r_ptr(1, 1), 1)
    1912             :             END IF
    1913             :          END DO ! list
    1914             :          END DO
    1915             :          END DO
    1916             : 
    1917             :          IF (.FALSE.) THEN
    1918             :             DO k = 0, nbox(3) - 1
    1919             :             DO j = 0, nbox(2) - 1
    1920             :             DO i = 0, nbox(1) - 1
    1921             :                IF (box(i, j, k)%n .GT. 0) THEN
    1922             :                   WRITE (*, *)
    1923             :                   WRITE (*, *) 'box=', i, j, k
    1924             :                   box_center(1) = (REAL(i, dp) + 0.5_dp)*dbox(1)
    1925             :                   box_center(2) = (REAL(j, dp) + 0.5_dp)*dbox(2)
    1926             :                   box_center(3) = (REAL(k, dp) + 0.5_dp)*dbox(3)
    1927             :                   box_center = pbc(box_center, cell)
    1928             :                   WRITE (*, '(A,3E14.6)') 'box_center=', box_center
    1929             :                   WRITE (*, *) 'nbr atom=', box(i, j, k)%n
    1930             :                   r_ptr => box(i, j, k)%r
    1931             :                   DO iatom = 1, box(i, j, k)%n
    1932             :                      WRITE (*, '(A,I3,3E14.6)') 'coor=', iatom, r_ptr(:, iatom)
    1933             :                      r(:) = pbc(box_center(:) - r_ptr(:, iatom), cell)
    1934             :                      IF (ABS(r(1)) .GT. (scale + 0.5_dp)*dbox(1) .OR. &
    1935             :                          ABS(r(2)) .GT. (scale + 0.5_dp)*dbox(2) .OR. &
    1936             :                          ABS(r(3)) .GT. (scale + 0.5_dp)*dbox(3)) THEN
    1937             :                         WRITE (*, *) 'error too many atoms'
    1938             :                         WRITE (*, *) 'dist=', ABS(r(:))
    1939             :                         WRITE (*, *) 'large_dist=', (scale + 0.5_dp)*dbox
    1940             :                         CPABORT("")
    1941             :                      END IF
    1942             :                   END DO
    1943             :                END IF
    1944             :             END DO ! list
    1945             :             END DO
    1946             :             END DO
    1947             :          END IF
    1948             : 
    1949             :          IF (.TRUE.) THEN
    1950          88 :             DO k = 0, nbox(3) - 1
    1951        1430 :             DO j = 0, nbox(2) - 1
    1952       25706 :             DO i = 0, nbox(1) - 1
    1953       24282 :                box_center(1) = (REAL(i, dp) + 0.5_dp)*dbox(1)
    1954       24282 :                box_center(2) = (REAL(j, dp) + 0.5_dp)*dbox(2)
    1955       24282 :                box_center(3) = (REAL(k, dp) + 0.5_dp)*dbox(3)
    1956       97128 :                box_center = pbc(box_center, cell)
    1957       24282 :                r_ptr => box(i, j, k)%r
    1958       90188 :                DO iatom = 1, natms
    1959      258256 :                   r(:) = pbc(box_center(:) - ratom(:, iatom), cell)
    1960       64564 :                   ifind = 0
    1961       68174 :                   DO jatom = 1, box(i, j, k)%n
    1962       79004 :                      IF (SUM(ABS(ratom(:, iatom) - r_ptr(:, jatom))) .LT. 1E-10_dp) ifind = 1
    1963             :                   END DO
    1964             : 
    1965       88846 :                   IF (ifind .EQ. 0) THEN
    1966             :                      ! SQRT(DOT_PRODUCT(r, r)) .LT. gauge_atom_radius
    1967      252536 :                      IF (DOT_PRODUCT(r, r) .LT. (gauge_atom_radius*gauge_atom_radius)) THEN
    1968           0 :                         WRITE (*, *) 'error atom too close'
    1969           0 :                         WRITE (*, *) 'iatom', iatom
    1970           0 :                         WRITE (*, *) 'box_center', box_center
    1971           0 :                         WRITE (*, *) 'ratom', ratom(:, iatom)
    1972           0 :                         WRITE (*, *) 'gauge_atom_radius', gauge_atom_radius
    1973           0 :                         CPABORT("")
    1974             :                      END IF
    1975             :                   END IF
    1976             :                END DO
    1977             :             END DO ! list
    1978             :             END DO
    1979             :             END DO
    1980             :          END IF
    1981             : 
    1982           6 :          DEALLOCATE (ratom)
    1983             : 
    1984           6 :          CALL timestop(handle)
    1985             : 
    1986          12 :       END SUBROUTINE box_atoms_new
    1987             : 
    1988             : ! **************************************************************************************************
    1989             : !> \brief ...
    1990             : !> \param current_env ...
    1991             : !> \param qs_env ...
    1992             : !> \param rs_grid_x ...
    1993             : !> \param rs_grid_y ...
    1994             : !> \param rs_grid_z ...
    1995             : !> \param box ...
    1996             : ! **************************************************************************************************
    1997          20 :       SUBROUTINE collocate_gauge_new(current_env, qs_env, rs_grid_x, rs_grid_y, rs_grid_z, box)
    1998             :          !
    1999             :       TYPE(current_env_type)                             :: current_env
    2000             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2001             :       TYPE(realspace_grid_type), INTENT(IN)              :: rs_grid_x, rs_grid_y, rs_grid_z
    2002             :       TYPE(box_type), DIMENSION(:, :, :), POINTER        :: box
    2003             : 
    2004             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'collocate_gauge_new'
    2005             : 
    2006             :       INTEGER :: delta_lb(3), handle, i, iatom, ib, ibe, ibox, ibs, ie, is, j, jatom, jb, jbe, &
    2007             :          jbox, jbs, je, js, k, kb, kbe, kbox, kbs, ke, ks, lb(3), lb_local(3), natms, &
    2008             :          natms_local0, natms_local1, ng(3)
    2009          20 :       REAL(dp), DIMENSION(:, :), POINTER                 :: r_ptr
    2010             :       REAL(KIND=dp)                                      :: ab, box_center(3), buf_tmp, dist, dr(3), &
    2011             :                                                             gauge_atom_radius, offset(3), pa, pb, &
    2012             :                                                             point(3), pra(3), r(3), res(3), summe, &
    2013             :                                                             tmp, x, y, z
    2014          20 :       REAL(kind=dp), ALLOCATABLE, DIMENSION(:)           :: buf, nrm_atms_pnt
    2015          20 :       REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :)        :: atms_pnt, ratom
    2016          20 :       REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: grid_x, grid_y, grid_z
    2017             :       TYPE(cell_type), POINTER                           :: cell
    2018          20 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    2019          20 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    2020             : 
    2021          20 :          CALL timeset(routineN, handle)
    2022             : 
    2023             : !
    2024             :          CALL get_current_env(current_env=current_env, &
    2025          20 :                               gauge_atom_radius=gauge_atom_radius)
    2026             :          !
    2027             :          CALL get_qs_env(qs_env=qs_env, &
    2028             :                          qs_kind_set=qs_kind_set, &
    2029             :                          cell=cell, &
    2030          20 :                          particle_set=particle_set)
    2031             :          !
    2032          20 :          natms = SIZE(particle_set, 1)
    2033          20 :          dr(1) = rs_grid_x%desc%dh(1, 1)
    2034          20 :          dr(2) = rs_grid_x%desc%dh(2, 2)
    2035          20 :          dr(3) = rs_grid_x%desc%dh(3, 3)
    2036          80 :          lb(:) = rs_grid_x%desc%lb(:)
    2037          80 :          lb_local(:) = rs_grid_x%lb_local(:)
    2038          20 :          grid_x => rs_grid_x%r(:, :, :)
    2039          20 :          grid_y => rs_grid_y%r(:, :, :)
    2040          20 :          grid_z => rs_grid_z%r(:, :, :)
    2041          80 :          ng(:) = UBOUND(grid_x)
    2042          80 :          delta_lb(:) = lb_local(:) - lb(:)
    2043          20 :          offset(1) = cell%hmat(1, 1)*0.5_dp
    2044          20 :          offset(2) = cell%hmat(2, 2)*0.5_dp
    2045          20 :          offset(3) = cell%hmat(3, 3)*0.5_dp
    2046         140 :          ALLOCATE (buf(natms), ratom(3, natms), atms_pnt(3, natms), nrm_atms_pnt(natms))
    2047             :          !
    2048             :          ! find the boxes that match the grid
    2049          20 :          ibs = FLOOR(REAL(delta_lb(1), dp)*dr(1)/dbox(1))
    2050          20 :          ibe = FLOOR(REAL(ng(1) - 1 + delta_lb(1), dp)*dr(1)/dbox(1))
    2051          20 :          jbs = FLOOR(REAL(delta_lb(2), dp)*dr(2)/dbox(2))
    2052          20 :          jbe = FLOOR(REAL(ng(2) - 1 + delta_lb(2), dp)*dr(2)/dbox(2))
    2053          20 :          kbs = FLOOR(REAL(delta_lb(3), dp)*dr(3)/dbox(3))
    2054          20 :          kbe = FLOOR(REAL(ng(3) - 1 + delta_lb(3), dp)*dr(3)/dbox(3))
    2055             :          !
    2056             :          ! go over the box-list
    2057         314 :          DO kb = kbs, kbe
    2058        5148 :          DO jb = jbs, jbe
    2059       89870 :          DO ib = ibs, ibe
    2060       84742 :             ibox = MODULO(ib, nbox(1))
    2061       84742 :             jbox = MODULO(jb, nbox(2))
    2062       84742 :             kbox = MODULO(kb, nbox(3))
    2063             :             !
    2064       84742 :             is = MAX(CEILING(REAL(ib, dp)*dbox(1)/dr(1)), delta_lb(1)) - delta_lb(1) + 1
    2065       84742 :             ie = MIN(FLOOR(REAL(ib + 1, dp)*dbox(1)/dr(1)), ng(1) - 1 + delta_lb(1)) - delta_lb(1) + 1
    2066       84742 :             js = MAX(CEILING(REAL(jb, dp)*dbox(2)/dr(2)), delta_lb(2)) - delta_lb(2) + 1
    2067       84742 :             je = MIN(FLOOR(REAL(jb + 1, dp)*dbox(2)/dr(2)), ng(2) - 1 + delta_lb(2)) - delta_lb(2) + 1
    2068       84742 :             ks = MAX(CEILING(REAL(kb, dp)*dbox(3)/dr(3)), delta_lb(3)) - delta_lb(3) + 1
    2069       84742 :             ke = MIN(FLOOR(REAL(kb + 1, dp)*dbox(3)/dr(3)), ng(3) - 1 + delta_lb(3)) - delta_lb(3) + 1
    2070             :             !
    2071             :             ! sanity checks
    2072             :             IF (.TRUE.) THEN
    2073       84742 :                IF (REAL(ks - 1 + delta_lb(3), dp)*dr(3) .LT. REAL(kb, dp)*dbox(3) .OR. &
    2074             :                    REAL(ke - 1 + delta_lb(3), dp)*dr(3) .GT. REAL(kb + 1, dp)*dbox(3)) THEN
    2075           0 :                   WRITE (*, *) 'box_k', REAL(kb, dp)*dbox(3), REAL(kb + 1, dp)*dbox(3)
    2076           0 :                   WRITE (*, *) 'point_k', REAL(ks - 1 + delta_lb(3), dp)*dr(3), REAL(ke - 1 + delta_lb(3), dp)*dr(3)
    2077           0 :                   WRITE (*, *) 'ibox', ibox, 'jbox', jbox, 'kbox', kbox
    2078           0 :                   WRITE (*, *) 'is,ie', is, ie, ' js,je', js, je, ' ks,ke', ks, ke
    2079           0 :                   WRITE (*, *) 'ibs,ibe', ibs, ibe, ' jbs,jbe', jbs, jbe, ' kbs,kbe', kbs, kbe
    2080           0 :                   CPABORT("we stop_k")
    2081             :                END IF
    2082       84742 :                IF (REAL(js - 1 + delta_lb(2), dp)*dr(2) .LT. REAL(jb, dp)*dbox(2) .OR. &
    2083             :                    REAL(je - 1 + delta_lb(2), dp)*dr(2) .GT. REAL(jb + 1, dp)*dbox(2)) THEN
    2084           0 :                   WRITE (*, *) 'box_j', REAL(jb, dp)*dbox(2), REAL(jb + 1, dp)*dbox(2)
    2085           0 :                   WRITE (*, *) 'point_j', REAL(js - 1 + delta_lb(2), dp)*dr(2), REAL(je - 1 + delta_lb(2), dp)*dr(2)
    2086           0 :                   WRITE (*, *) 'is,ie', is, ie, ' js,je', js, je, ' ks,ke', ks, ke
    2087           0 :                   WRITE (*, *) 'ibs,ibe', ibs, ibe, ' jbs,jbe', jbs, jbe, ' kbs,kbe', kbs, kbe
    2088           0 :                   CPABORT("we stop_j")
    2089             :                END IF
    2090       84742 :                IF (REAL(is - 1 + delta_lb(1), dp)*dr(1) .LT. REAL(ib, dp)*dbox(1) .OR. &
    2091             :                    REAL(ie - 1 + delta_lb(1), dp)*dr(1) .GT. REAL(ib + 1, dp)*dbox(1)) THEN
    2092           0 :                   WRITE (*, *) 'box_i', REAL(ib, dp)*dbox(1), REAL(ib + 1, dp)*dbox(1)
    2093           0 :                   WRITE (*, *) 'point_i', REAL(is - 1 + delta_lb(1), dp)*dr(1), REAL(ie - 1 + delta_lb(1), dp)*dr(1)
    2094           0 :                   WRITE (*, *) 'is,ie', is, ie, ' js,je', js, je, ' ks,ke', ks, ke
    2095           0 :                   WRITE (*, *) 'ibs,ibe', ibs, ibe, ' jbs,jbe', jbs, jbe, ' kbs,kbe', kbs, kbe
    2096           0 :                   CPABORT("we stop_i")
    2097             :                END IF
    2098             :             END IF
    2099             :             !
    2100             :             ! the center of the box
    2101       84742 :             box_center(1) = (REAL(ibox, dp) + 0.5_dp)*dbox(1)
    2102       84742 :             box_center(2) = (REAL(jbox, dp) + 0.5_dp)*dbox(2)
    2103       84742 :             box_center(3) = (REAL(kbox, dp) + 0.5_dp)*dbox(3)
    2104             :             !
    2105             :             ! find the atoms that are in the overlaping boxes
    2106       84742 :             natms_local0 = box(ibox, jbox, kbox)%n
    2107       84742 :             r_ptr => box(ibox, jbox, kbox)%r
    2108             :             !
    2109             :             ! go over the grid inside the box
    2110       89576 :             IF (natms_local0 .GT. 0) THEN
    2111             :                !
    2112             :                ! here there are some atoms...
    2113        9850 :                DO k = ks, ke
    2114       31112 :                DO j = js, je
    2115      154636 :                DO i = is, ie
    2116      127152 :                   point(1) = REAL(i - 1 + delta_lb(1), dp)*dr(1)
    2117      127152 :                   point(2) = REAL(j - 1 + delta_lb(2), dp)*dr(2)
    2118      127152 :                   point(3) = REAL(k - 1 + delta_lb(3), dp)*dr(3)
    2119      508608 :                   point = pbc(point, cell)
    2120             :                   !
    2121             :                   ! compute atom-point distances
    2122      127152 :                   natms_local1 = 0
    2123      364868 :                   DO iatom = 1, natms_local0
    2124     1901728 :                      r(:) = pbc(r_ptr(:, iatom) - point(:), cell) + point(:) !needed?
    2125      237716 :                      dist = (r(1) - point(1))**2 + (r(2) - point(2))**2 + (r(3) - point(3))**2
    2126      364868 :                      IF (dist .LT. gauge_atom_radius**2) THEN
    2127      154124 :                         natms_local1 = natms_local1 + 1
    2128      616496 :                         ratom(:, natms_local1) = r(:)
    2129             :                         !
    2130             :                         ! compute the distance atoms-point
    2131      154124 :                         x = point(1) - r(1)
    2132      154124 :                         y = point(2) - r(2)
    2133      154124 :                         z = point(3) - r(3)
    2134      154124 :                         atms_pnt(1, natms_local1) = x
    2135      154124 :                         atms_pnt(2, natms_local1) = y
    2136      154124 :                         atms_pnt(3, natms_local1) = z
    2137      154124 :                         nrm_atms_pnt(natms_local1) = SQRT(x*x + y*y + z*z)
    2138             :                      END IF
    2139             :                   END DO
    2140             :                   !
    2141             :                   !
    2142      148414 :                   IF (natms_local1 .GT. 0) THEN
    2143             :                      !
    2144             :                      ! build the step
    2145      238616 :                      DO iatom = 1, natms_local1
    2146      154124 :                         buf_tmp = 1.0_dp
    2147      154124 :                         pra(1) = atms_pnt(1, iatom)
    2148      154124 :                         pra(2) = atms_pnt(2, iatom)
    2149      154124 :                         pra(3) = atms_pnt(3, iatom)
    2150      154124 :                         pa = nrm_atms_pnt(iatom)
    2151      447512 :                         DO jatom = 1, natms_local1
    2152      293388 :                            IF (iatom .EQ. jatom) CYCLE
    2153      139264 :                            pb = nrm_atms_pnt(jatom)
    2154      139264 :                            x = pra(1) - atms_pnt(1, jatom)
    2155      139264 :                            y = pra(2) - atms_pnt(2, jatom)
    2156      139264 :                            z = pra(3) - atms_pnt(3, jatom)
    2157      139264 :                            ab = SQRT(x*x + y*y + z*z)
    2158             :                            !
    2159      139264 :                            tmp = (pa - pb)/ab
    2160      139264 :                            tmp = 0.5_dp*(3.0_dp - tmp*tmp)*tmp
    2161      139264 :                            tmp = 0.5_dp*(3.0_dp - tmp*tmp)*tmp
    2162      139264 :                            tmp = 0.5_dp*(3.0_dp - tmp*tmp)*tmp
    2163      447512 :                            buf_tmp = buf_tmp*0.5_dp*(1.0_dp - tmp)
    2164             :                         END DO
    2165      238616 :                         buf(iatom) = buf_tmp
    2166             :                      END DO
    2167             :                      res(1) = 0.0_dp
    2168             :                      res(2) = 0.0_dp
    2169             :                      res(3) = 0.0_dp
    2170             :                      summe = 0.0_dp
    2171      238616 :                      DO iatom = 1, natms_local1
    2172      154124 :                         res(1) = res(1) + ratom(1, iatom)*buf(iatom)
    2173      154124 :                         res(2) = res(2) + ratom(2, iatom)*buf(iatom)
    2174      154124 :                         res(3) = res(3) + ratom(3, iatom)*buf(iatom)
    2175      238616 :                         summe = summe + buf(iatom)
    2176             :                      END DO
    2177       84492 :                      res(1) = res(1)/summe
    2178       84492 :                      res(2) = res(2)/summe
    2179       84492 :                      res(3) = res(3)/summe
    2180       84492 :                      grid_x(i, j, k) = point(1) - res(1)
    2181       84492 :                      grid_y(i, j, k) = point(2) - res(2)
    2182       84492 :                      grid_z(i, j, k) = point(3) - res(3)
    2183             :                   ELSE
    2184       42660 :                      grid_x(i, j, k) = 0.0_dp
    2185       42660 :                      grid_y(i, j, k) = 0.0_dp
    2186       42660 :                      grid_z(i, j, k) = 0.0_dp
    2187             :                   END IF
    2188             :                END DO ! grid
    2189             :                END DO
    2190             :                END DO
    2191             :                !
    2192             :             ELSE
    2193             :                !
    2194             :                ! here there is no atom
    2195      187142 :                DO k = ks, ke
    2196      376598 :                DO j = js, je
    2197      717810 :                DO i = is, ie
    2198      422326 :                   grid_x(i, j, k) = 0.0_dp
    2199      422326 :                   grid_y(i, j, k) = 0.0_dp
    2200      611782 :                   grid_z(i, j, k) = 0.0_dp
    2201             :                END DO ! grid
    2202             :                END DO
    2203             :                END DO
    2204             :                !
    2205             :             END IF
    2206             :             !
    2207             :          END DO ! list
    2208             :          END DO
    2209             :          END DO
    2210             : 
    2211          20 :          DEALLOCATE (buf, ratom, atms_pnt, nrm_atms_pnt)
    2212             : 
    2213          20 :          CALL timestop(handle)
    2214             : 
    2215          20 :       END SUBROUTINE collocate_gauge_new
    2216             : 
    2217             : ! **************************************************************************************************
    2218             : !> \brief ...
    2219             : !> \param box ...
    2220             : ! **************************************************************************************************
    2221          28 :       SUBROUTINE deallocate_box(box)
    2222             :       TYPE(box_type), DIMENSION(:, :, :), POINTER        :: box
    2223             : 
    2224             :       INTEGER                                            :: i, j, k
    2225             : 
    2226          28 :          IF (ASSOCIATED(box)) THEN
    2227         100 :             DO k = LBOUND(box, 3), UBOUND(box, 3)
    2228        1594 :             DO j = LBOUND(box, 2), UBOUND(box, 2)
    2229       28390 :             DO i = LBOUND(box, 1), UBOUND(box, 1)
    2230       25624 :                IF (ASSOCIATED(box(i, j, k)%r)) THEN
    2231        1280 :                   DEALLOCATE (box(i, j, k)%r)
    2232             :                END IF
    2233             :             END DO
    2234             :             END DO
    2235             :             END DO
    2236           6 :             DEALLOCATE (box)
    2237             :          END IF
    2238          28 :       END SUBROUTINE deallocate_box
    2239             :    END SUBROUTINE current_set_gauge
    2240             : 
    2241             : ! **************************************************************************************************
    2242             : !> \brief ...
    2243             : !> \param current_env ...
    2244             : !> \param qs_env ...
    2245             : !> \param iB ...
    2246             : ! **************************************************************************************************
    2247         522 :    SUBROUTINE current_build_chi(current_env, qs_env, iB)
    2248             :       !
    2249             :       TYPE(current_env_type)                             :: current_env
    2250             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2251             :       INTEGER, INTENT(IN)                                :: iB
    2252             : 
    2253         522 :       IF (current_env%full) THEN
    2254         426 :          CALL current_build_chi_many_centers(current_env, qs_env, iB)
    2255          96 :       ELSE IF (current_env%nbr_center(1) > 1) THEN
    2256           0 :          CALL current_build_chi_many_centers(current_env, qs_env, iB)
    2257             :       ELSE
    2258          96 :          CALL current_build_chi_one_center(current_env, qs_env, iB)
    2259             :       END IF
    2260             : 
    2261         522 :    END SUBROUTINE current_build_chi
    2262             : 
    2263             : ! **************************************************************************************************
    2264             : !> \brief ...
    2265             : !> \param current_env ...
    2266             : !> \param qs_env ...
    2267             : !> \param iB ...
    2268             : ! **************************************************************************************************
    2269         426 :    SUBROUTINE current_build_chi_many_centers(current_env, qs_env, iB)
    2270             :       !
    2271             :       TYPE(current_env_type)                             :: current_env
    2272             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2273             :       INTEGER, INTENT(IN)                                :: iB
    2274             : 
    2275             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'current_build_chi_many_centers'
    2276             : 
    2277             :       INTEGER :: handle, icenter, idir, idir2, ii, iiB, iii, iiiB, ispin, istate, j, jstate, &
    2278             :          max_states, nao, natom, nbr_center(2), nmo, nspins, nstate_loc, nstates(2), output_unit
    2279         426 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: first_sgf, last_sgf
    2280         426 :       INTEGER, DIMENSION(:), POINTER                     :: row_blk_sizes
    2281             :       LOGICAL                                            :: chi_pbc, gapw
    2282             :       REAL(dp)                                           :: chi(3), chi_tmp, contrib, contrib2, &
    2283             :                                                             dk(3), int_current(3), &
    2284             :                                                             int_current_tmp, maxocc
    2285             :       TYPE(cell_type), POINTER                           :: cell
    2286         426 :       TYPE(cp_2d_i_p_type), DIMENSION(:), POINTER        :: center_list
    2287         426 :       TYPE(cp_2d_r_p_type), DIMENSION(:), POINTER        :: centers_set
    2288             :       TYPE(cp_fm_struct_type), POINTER                   :: tmp_fm_struct
    2289             :       TYPE(cp_fm_type)                                   :: psi0, psi_D, psi_p1, psi_p2, psi_rxp
    2290        4686 :       TYPE(cp_fm_type), DIMENSION(3)                     :: p_rxp, r_p1, r_p2
    2291       38766 :       TYPE(cp_fm_type), DIMENSION(9, 3)                  :: rr_p1, rr_p2, rr_rxp
    2292         426 :       TYPE(cp_fm_type), DIMENSION(:), POINTER            :: psi0_order
    2293         426 :       TYPE(cp_fm_type), DIMENSION(:, :), POINTER         :: psi1_D, psi1_p, psi1_rxp
    2294             :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
    2295             :       TYPE(cp_logger_type), POINTER                      :: logger
    2296             :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
    2297         426 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: op_mom_ao, op_p_ao
    2298         426 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: op_mom_der_ao
    2299             :       TYPE(dft_control_type), POINTER                    :: dft_control
    2300         426 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
    2301             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2302             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    2303         426 :          POINTER                                         :: sab_all, sab_orb
    2304         426 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    2305         426 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    2306             : 
    2307             : !
    2308             : 
    2309         426 :       CALL timeset(routineN, handle)
    2310             :       !
    2311         426 :       NULLIFY (dft_control, mos, para_env, mo_coeff, op_mom_ao, &
    2312         426 :                op_mom_der_ao, center_list, centers_set, &
    2313         426 :                op_p_ao, psi1_p, psi1_rxp, psi1_D, &
    2314         426 :                cell, particle_set, qs_kind_set)
    2315             : 
    2316         426 :       logger => cp_get_default_logger()
    2317         426 :       output_unit = cp_logger_get_default_io_unit(logger)
    2318             : 
    2319             :       CALL get_qs_env(qs_env=qs_env, &
    2320             :                       dft_control=dft_control, &
    2321             :                       mos=mos, &
    2322             :                       para_env=para_env, &
    2323             :                       cell=cell, &
    2324             :                       dbcsr_dist=dbcsr_dist, &
    2325             :                       particle_set=particle_set, &
    2326             :                       qs_kind_set=qs_kind_set, &
    2327             :                       sab_all=sab_all, &
    2328         426 :                       sab_orb=sab_orb)
    2329             : 
    2330         426 :       nspins = dft_control%nspins
    2331         426 :       gapw = dft_control%qs_control%gapw
    2332             : 
    2333             :       CALL get_current_env(current_env=current_env, &
    2334             :                            chi_pbc=chi_pbc, &
    2335             :                            nao=nao, &
    2336             :                            nbr_center=nbr_center, &
    2337             :                            center_list=center_list, &
    2338             :                            centers_set=centers_set, &
    2339             :                            psi1_p=psi1_p, &
    2340             :                            psi1_rxp=psi1_rxp, &
    2341             :                            psi1_D=psi1_D, &
    2342             :                            nstates=nstates, &
    2343         426 :                            psi0_order=psi0_order)
    2344             :       !
    2345             :       ! get max nbr of states per center
    2346         426 :       max_states = 0
    2347        1044 :       DO ispin = 1, nspins
    2348        4662 :          DO icenter = 1, nbr_center(ispin)
    2349             :             max_states = MAX(max_states, center_list(ispin)%array(1, icenter + 1)&
    2350        4236 :                  &                     - center_list(ispin)%array(1, icenter))
    2351             :          END DO
    2352             :       END DO
    2353             :       !
    2354             :       ! Allocate sparse matrices for dipole, quadrupole and their derivatives => 9x3
    2355             :       ! Remember the derivatives are antisymmetric
    2356         426 :       CALL dbcsr_allocate_matrix_set(op_mom_ao, 9)
    2357         426 :       CALL dbcsr_allocate_matrix_set(op_mom_der_ao, 9, 3)
    2358             :       !
    2359             :       ! prepare for allocation
    2360         426 :       natom = SIZE(particle_set, 1)
    2361        1278 :       ALLOCATE (first_sgf(natom))
    2362         852 :       ALLOCATE (last_sgf(natom))
    2363             :       CALL get_particle_set(particle_set, qs_kind_set, &
    2364             :                             first_sgf=first_sgf, &
    2365         426 :                             last_sgf=last_sgf)
    2366         852 :       ALLOCATE (row_blk_sizes(natom))
    2367         426 :       CALL dbcsr_convert_offsets_to_sizes(first_sgf, row_blk_sizes, last_sgf)
    2368         426 :       DEALLOCATE (first_sgf)
    2369         426 :       DEALLOCATE (last_sgf)
    2370             :       !
    2371             :       !
    2372         426 :       ALLOCATE (op_mom_ao(1)%matrix)
    2373             :       CALL dbcsr_create(matrix=op_mom_ao(1)%matrix, &
    2374             :                         name="op_mom", &
    2375             :                         dist=dbcsr_dist, matrix_type=dbcsr_type_no_symmetry, &
    2376             :                         row_blk_size=row_blk_sizes, col_blk_size=row_blk_sizes, &
    2377         426 :                         nze=0, mutable_work=.TRUE.)
    2378         426 :       CALL cp_dbcsr_alloc_block_from_nbl(op_mom_ao(1)%matrix, sab_all)
    2379             : 
    2380        1704 :       DO idir2 = 1, 3
    2381        1278 :          ALLOCATE (op_mom_der_ao(1, idir2)%matrix)
    2382             :          CALL dbcsr_copy(op_mom_der_ao(1, idir2)%matrix, op_mom_ao(1)%matrix, &
    2383        1704 :                          "op_mom_der_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir2))))
    2384             :       END DO
    2385             : 
    2386        3834 :       DO idir = 2, SIZE(op_mom_ao, 1)
    2387        3408 :          ALLOCATE (op_mom_ao(idir)%matrix)
    2388             :          CALL dbcsr_copy(op_mom_ao(idir)%matrix, op_mom_ao(1)%matrix, &
    2389        3408 :                          "op_mom_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir))))
    2390       14058 :          DO idir2 = 1, 3
    2391       10224 :             ALLOCATE (op_mom_der_ao(idir, idir2)%matrix)
    2392             :             CALL dbcsr_copy(op_mom_der_ao(idir, idir2)%matrix, op_mom_ao(1)%matrix, &
    2393       13632 :                             "op_mom_der_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir*idir2))))
    2394             :          END DO
    2395             :       END DO
    2396             :       !
    2397         426 :       CALL dbcsr_allocate_matrix_set(op_p_ao, 3)
    2398         426 :       ALLOCATE (op_p_ao(1)%matrix)
    2399             :       CALL dbcsr_create(matrix=op_p_ao(1)%matrix, &
    2400             :                         name="op_p_ao", &
    2401             :                         dist=dbcsr_dist, matrix_type=dbcsr_type_antisymmetric, &
    2402             :                         row_blk_size=row_blk_sizes, col_blk_size=row_blk_sizes, &
    2403         426 :                         nze=0, mutable_work=.TRUE.)
    2404         426 :       CALL cp_dbcsr_alloc_block_from_nbl(op_p_ao(1)%matrix, sab_orb)
    2405             : 
    2406        1278 :       DO idir = 2, 3
    2407         852 :          ALLOCATE (op_p_ao(idir)%matrix)
    2408             :          CALL dbcsr_copy(op_p_ao(idir)%matrix, op_p_ao(1)%matrix, &
    2409        1278 :                          "op_p_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir))))
    2410             :       END DO
    2411             :       !
    2412             :       !
    2413         426 :       DEALLOCATE (row_blk_sizes)
    2414             :       !
    2415             :       !
    2416             :       ! Allocate full matrices for only one vector
    2417         426 :       mo_coeff => psi0_order(1)
    2418         426 :       NULLIFY (tmp_fm_struct)
    2419             :       CALL cp_fm_struct_create(tmp_fm_struct, nrow_global=nao, &
    2420             :                                ncol_global=max_states, para_env=para_env, &
    2421         426 :                                context=mo_coeff%matrix_struct%context)
    2422         426 :       CALL cp_fm_create(psi0, tmp_fm_struct)
    2423         426 :       CALL cp_fm_create(psi_D, tmp_fm_struct)
    2424         426 :       CALL cp_fm_create(psi_rxp, tmp_fm_struct)
    2425         426 :       CALL cp_fm_create(psi_p1, tmp_fm_struct)
    2426         426 :       CALL cp_fm_create(psi_p2, tmp_fm_struct)
    2427         426 :       CALL cp_fm_struct_release(tmp_fm_struct)
    2428             :       !
    2429             :       CALL cp_fm_struct_create(tmp_fm_struct, nrow_global=nao, &
    2430             :                                ncol_global=max_states, para_env=para_env, &
    2431         426 :                                context=mo_coeff%matrix_struct%context)
    2432        1704 :       DO idir = 1, 3
    2433        1278 :          CALL cp_fm_create(p_rxp(idir), tmp_fm_struct)
    2434        1278 :          CALL cp_fm_create(r_p1(idir), tmp_fm_struct)
    2435        1278 :          CALL cp_fm_create(r_p2(idir), tmp_fm_struct)
    2436       13206 :          DO idir2 = 1, 9
    2437       11502 :             CALL cp_fm_create(rr_rxp(idir2, idir), tmp_fm_struct)
    2438       11502 :             CALL cp_fm_create(rr_p1(idir2, idir), tmp_fm_struct)
    2439       12780 :             CALL cp_fm_create(rr_p2(idir2, idir), tmp_fm_struct)
    2440             :          END DO
    2441             :       END DO
    2442         426 :       CALL cp_fm_struct_release(tmp_fm_struct)
    2443             :       !
    2444             :       !
    2445             :       !
    2446             :       ! recompute the linear momentum matrices
    2447         426 :       CALL build_lin_mom_matrix(qs_env, op_p_ao)
    2448             :       !CALL p_xyz_ao(op_p_ao,qs_env,minimum_image=.FALSE.)
    2449             :       !
    2450             :       !
    2451             :       ! get iiB and iiiB
    2452         426 :       CALL set_vecp(iB, iiB, iiiB)
    2453        1044 :       DO ispin = 1, nspins
    2454             :          !
    2455             :          ! get ground state MOS
    2456         618 :          nmo = nstates(ispin)
    2457         618 :          mo_coeff => psi0_order(ispin)
    2458         618 :          CALL get_mo_set(mo_set=mos(ispin), maxocc=maxocc)
    2459             :          !
    2460             :          ! Initialize the temporary vector chi
    2461         618 :          chi = 0.0_dp
    2462             :          int_current = 0.0_dp
    2463             :          !
    2464             :          ! Start loop over the occupied  states
    2465        4236 :          DO icenter = 1, nbr_center(ispin)
    2466             :             !
    2467             :             ! Get the Wannier center of the istate-th ground state orbital
    2468       14472 :             dk(1:3) = centers_set(ispin)%array(1:3, icenter)
    2469             :             !
    2470             :             ! Compute the multipole integrals for the state istate,
    2471             :             ! using as reference center the corresponding Wannier center
    2472       36180 :             DO idir = 1, 9
    2473       32562 :                CALL dbcsr_set(op_mom_ao(idir)%matrix, 0.0_dp)
    2474      133866 :                DO idir2 = 1, 3
    2475      130248 :                   CALL dbcsr_set(op_mom_der_ao(idir, idir2)%matrix, 0.0_dp)
    2476             :                END DO
    2477             :             END DO
    2478             :             CALL rRc_xyz_der_ao(op_mom_ao, op_mom_der_ao, qs_env, dk, order=2, &
    2479        3618 :                                 minimum_image=.FALSE., soft=gapw)
    2480             :             !
    2481             :             ! collecte the states that belong to a given center
    2482        3618 :             CALL cp_fm_set_all(psi0, 0.0_dp)
    2483        3618 :             CALL cp_fm_set_all(psi_rxp, 0.0_dp)
    2484        3618 :             CALL cp_fm_set_all(psi_D, 0.0_dp)
    2485        3618 :             CALL cp_fm_set_all(psi_p1, 0.0_dp)
    2486        3618 :             CALL cp_fm_set_all(psi_p2, 0.0_dp)
    2487        3618 :             nstate_loc = center_list(ispin)%array(1, icenter + 1) - center_list(ispin)%array(1, icenter)
    2488        3618 :             jstate = 1
    2489        7614 :             DO j = center_list(ispin)%array(1, icenter), center_list(ispin)%array(1, icenter + 1) - 1
    2490        3996 :                istate = center_list(ispin)%array(2, j)
    2491             :                !
    2492             :                ! block the states that belong to this center
    2493        3996 :                CALL cp_fm_to_fm(mo_coeff, psi0, 1, istate, jstate)
    2494             :                !
    2495        3996 :                CALL cp_fm_to_fm(psi1_rxp(ispin, iB), psi_rxp, 1, istate, jstate)
    2496        3996 :                IF (current_env%full) CALL cp_fm_to_fm(psi1_D(ispin, iB), psi_D, 1, istate, jstate)
    2497             :                !
    2498             :                ! psi1_p_iiB_istate and psi1_p_iiiB_istate
    2499        3996 :                CALL cp_fm_to_fm(psi1_p(ispin, iiB), psi_p1, 1, istate, jstate)
    2500        3996 :                CALL cp_fm_to_fm(psi1_p(ispin, iiiB), psi_p2, 1, istate, jstate)
    2501             :                !
    2502        7614 :                jstate = jstate + 1
    2503             :             END DO ! istate
    2504             :             !
    2505             :             ! scale the ordered mos
    2506        3618 :             IF (current_env%full) CALL cp_fm_scale_and_add(1.0_dp, psi_rxp, -1.0_dp, psi_D)
    2507             :             !
    2508       14472 :             DO idir = 1, 3
    2509       10854 :                CALL set_vecp(idir, ii, iii)
    2510             :                CALL cp_dbcsr_sm_fm_multiply(op_p_ao(idir)%matrix, psi_rxp, &
    2511       10854 :                                             p_rxp(idir), ncol=nstate_loc, alpha=1.e0_dp)
    2512       10854 :                IF (iiiB .EQ. iii .OR. iiiB .EQ. ii) THEN
    2513             :                   CALL cp_dbcsr_sm_fm_multiply(op_mom_ao(idir)%matrix, psi_p1, &
    2514        7236 :                                                r_p1(idir), ncol=nstate_loc, alpha=1.e0_dp)
    2515             :                END IF
    2516       10854 :                IF (iiB .EQ. iii .OR. iiB .EQ. ii) THEN
    2517             :                   CALL cp_dbcsr_sm_fm_multiply(op_mom_ao(idir)%matrix, psi_p2, &
    2518        7236 :                                                r_p2(idir), ncol=nstate_loc, alpha=1.e0_dp)
    2519             :                END IF
    2520      123012 :                DO idir2 = 1, 9
    2521       97686 :                   IF (idir2 .EQ. ii .OR. idir2 .EQ. iii) THEN
    2522             :                      CALL cp_dbcsr_sm_fm_multiply(op_mom_der_ao(idir2, idir)%matrix, psi_rxp, &
    2523       21708 :                                                   rr_rxp(idir2, idir), ncol=nstate_loc, alpha=1.e0_dp)
    2524             :                   END IF
    2525             :                   !
    2526       97686 :                   IF (idir2 .EQ. ind_m2(ii, iiiB) .OR. idir2 .EQ. ind_m2(iii, iiiB) .OR. idir2 .EQ. iiiB) THEN
    2527             :                      CALL cp_dbcsr_sm_fm_multiply(op_mom_der_ao(idir2, idir)%matrix, psi_p1, &
    2528       32562 :                                                   rr_p1(idir2, idir), ncol=nstate_loc, alpha=1.e0_dp)
    2529             :                   END IF
    2530             :                   !
    2531      108540 :                   IF (idir2 .EQ. ind_m2(ii, iiB) .OR. idir2 .EQ. ind_m2(iii, iiB) .OR. idir2 .EQ. iiB) THEN
    2532             :                      CALL cp_dbcsr_sm_fm_multiply(op_mom_der_ao(idir2, idir)%matrix, psi_p2, &
    2533       32562 :                                                   rr_p2(idir2, idir), ncol=nstate_loc, alpha=1.e0_dp)
    2534             :                   END IF
    2535             :                END DO
    2536             :             END DO
    2537             :             !
    2538             :             ! Multuply left and right by the appropriate coefficients and sum into the
    2539             :             ! correct component of the chi tensor using the appropriate multiplicative factor
    2540             :             ! (don't forget the occupation number)
    2541             :             ! Loop over the cartesian components of the tensor
    2542             :             ! The loop over the components of the external field is external, thereby
    2543             :             ! only one column of the chi tensor is computed here
    2544       15090 :             DO idir = 1, 3
    2545       10854 :                chi_tmp = 0.0_dp
    2546       10854 :                int_current_tmp = 0.0_dp
    2547             :                !
    2548             :                ! get ii and iii
    2549       10854 :                CALL set_vecp(idir, ii, iii)
    2550             :                !
    2551             :                ! term: 2[C0| (r-dk)_ii |d_iii(C1(rxp-D))]-2[C0| (r-dk)_iii |d_ii(C1(rxp-D))]
    2552             :                ! the factor 2 should be already included in the matrix elements
    2553             :                contrib = 0.0_dp
    2554       10854 :                CALL cp_fm_trace(psi0, rr_rxp(ii, iii), contrib)
    2555       10854 :                chi_tmp = chi_tmp + 2.0_dp*contrib
    2556             :                !
    2557             :                contrib = 0.0_dp
    2558       10854 :                CALL cp_fm_trace(psi0, rr_rxp(iii, ii), contrib)
    2559       10854 :                chi_tmp = chi_tmp - 2.0_dp*contrib
    2560             :                !
    2561             :                ! correction: dk_ii*2[C0| d_iii(C1(rxp-D))] - dk_iii*2[C0| d_ii(C1(rxp-D))]
    2562             :                ! factor 2 not included in the matrix elements
    2563             :                contrib = 0.0_dp
    2564       10854 :                CALL cp_fm_trace(psi0, p_rxp(iii), contrib)
    2565       10854 :                IF (.NOT. chi_pbc) chi_tmp = chi_tmp + 2.0_dp*dk(ii)*contrib
    2566       10854 :                int_current_tmp = int_current_tmp + 2.0_dp*contrib
    2567             :                !
    2568             :                contrib2 = 0.0_dp
    2569       10854 :                CALL cp_fm_trace(psi0, p_rxp(ii), contrib2)
    2570       10854 :                IF (.NOT. chi_pbc) chi_tmp = chi_tmp - 2.0_dp*dk(iii)*contrib2
    2571             :                !
    2572             :                ! term: -2[C0| (r-dk)_ii  (r-dk)_iiB | d_iii(C1(piiiB))] \
    2573             :                !       +2[C0| (r-dk)_iii (r-dk)_iiB | d_ii(C1(piiiB))]
    2574             :                ! the factor 2 should be already included in the matrix elements
    2575             :                contrib = 0.0_dp
    2576       10854 :                idir2 = ind_m2(ii, iiB)
    2577       10854 :                CALL cp_fm_trace(psi0, rr_p2(idir2, iii), contrib)
    2578       10854 :                chi_tmp = chi_tmp - 2.0_dp*contrib
    2579             :                contrib2 = 0.0_dp
    2580       10854 :                IF (iiB == iii) THEN
    2581        3618 :                   CALL cp_fm_trace(psi0, r_p2(ii), contrib2)
    2582        3618 :                   chi_tmp = chi_tmp - contrib2
    2583             :                END IF
    2584             :                !
    2585             :                contrib = 0.0_dp
    2586       10854 :                idir2 = ind_m2(iii, iiB)
    2587       10854 :                CALL cp_fm_trace(psi0, rr_p2(idir2, ii), contrib)
    2588       10854 :                chi_tmp = chi_tmp + 2.0_dp*contrib
    2589             :                contrib2 = 0.0_dp
    2590       10854 :                IF (iiB == ii) THEN
    2591        3618 :                   CALL cp_fm_trace(psi0, r_p2(iii), contrib2)
    2592        3618 :                   chi_tmp = chi_tmp + contrib2
    2593             :                END IF
    2594             :                !
    2595             :                ! correction: -dk_ii * 2[C0|(r-dk)_iiB | d_iii(C1(piiiB))] \
    2596             :                !             +dk_iii * 2[C0|(r-dk)_iiB | d_ii(C1(piiiB))]
    2597             :                ! the factor 2 should be already included in the matrix elements
    2598             :                ! no additional correction terms because of the orthogonality between C0 and C1
    2599             :                contrib = 0.0_dp
    2600       10854 :                CALL cp_fm_trace(psi0, rr_p2(iiB, iii), contrib)
    2601       10854 :                IF (.NOT. chi_pbc) chi_tmp = chi_tmp - 2.0_dp*dk(ii)*contrib
    2602       10854 :                int_current_tmp = int_current_tmp - 2.0_dp*contrib
    2603             :                !
    2604             :                contrib2 = 0.0_dp
    2605       10854 :                CALL cp_fm_trace(psi0, rr_p2(iiB, ii), contrib2)
    2606       10854 :                IF (.NOT. chi_pbc) chi_tmp = chi_tmp + 2.0_dp*dk(iii)*contrib2
    2607             :                !
    2608             :                ! term: +2[C0| (r-dk)_ii  (r-dk)_iiiB | d_iii(C1(piiB))] \
    2609             :                !       -2[C0| (r-dk)_iii (r-dk)_iiiB | d_ii(C1(piiB))]
    2610             :                ! the factor 2 should be already included in the matrix elements
    2611             :                contrib = 0.0_dp
    2612       10854 :                idir2 = ind_m2(ii, iiiB)
    2613       10854 :                CALL cp_fm_trace(psi0, rr_p1(idir2, iii), contrib)
    2614       10854 :                chi_tmp = chi_tmp + 2.0_dp*contrib
    2615             :                contrib2 = 0.0_dp
    2616       10854 :                IF (iiiB == iii) THEN
    2617        3618 :                   CALL cp_fm_trace(psi0, r_p1(ii), contrib2)
    2618        3618 :                   chi_tmp = chi_tmp + contrib2
    2619             :                END IF
    2620             :                !
    2621             :                contrib = 0.0_dp
    2622       10854 :                idir2 = ind_m2(iii, iiiB)
    2623       10854 :                CALL cp_fm_trace(psi0, rr_p1(idir2, ii), contrib)
    2624       10854 :                chi_tmp = chi_tmp - 2.0_dp*contrib
    2625             :                contrib2 = 0.0_dp
    2626       10854 :                IF (iiiB == ii) THEN
    2627        3618 :                   CALL cp_fm_trace(psi0, r_p1(iii), contrib2)
    2628        3618 :                   chi_tmp = chi_tmp - contrib2
    2629             :                END IF
    2630             :                !
    2631             :                ! correction: +dk_ii * 2[C0|(r-dk)_iiiB | d_iii(C1(piiB))] +\
    2632             :                !             -dk_iii * 2[C0|(r-dk)_iiiB | d_ii(C1(piiB))]
    2633             :                ! the factor 2 should be already included in the matrix elements
    2634             :                contrib = 0.0_dp
    2635       10854 :                CALL cp_fm_trace(psi0, rr_p1(iiiB, iii), contrib)
    2636       10854 :                IF (.NOT. chi_pbc) chi_tmp = chi_tmp + 2.0_dp*dk(ii)*contrib
    2637       10854 :                int_current_tmp = int_current_tmp + 2.0_dp*contrib
    2638             :                !
    2639             :                contrib2 = 0.0_dp
    2640       10854 :                CALL cp_fm_trace(psi0, rr_p1(iiiB, ii), contrib2)
    2641       10854 :                IF (.NOT. chi_pbc) chi_tmp = chi_tmp - 2.0_dp*dk(iii)*contrib2
    2642             :                !
    2643             :                ! accumulate
    2644       10854 :                chi(idir) = chi(idir) + maxocc*chi_tmp
    2645      112158 :                int_current(iii) = int_current(iii) + int_current_tmp
    2646             :             END DO ! idir
    2647             : 
    2648             :          END DO ! icenter
    2649             :          !
    2650        3516 :          DO idir = 1, 3
    2651             :             current_env%chi_tensor(idir, iB, ispin) = current_env%chi_tensor(idir, iB, ispin) + &
    2652        1854 :                                                       chi(idir)
    2653         618 :             IF (output_unit > 0) THEN
    2654             :                !WRITE(output_unit,'(A,E12.6)') ' chi_'//ACHAR(119+idir)//ACHAR(119+iB)//&
    2655             :                !     &                         ' = ',chi(idir)
    2656             :                !WRITE(output_unit,'(A,E12.6)') ' analytic \int j_'//ACHAR(119+idir)//ACHAR(119+iB)//&
    2657             :                !     &                         '(r) d^3r = ',int_current(idir)
    2658             :             END IF
    2659             :          END DO
    2660             :          !
    2661             :       END DO ! ispin
    2662             :       !
    2663             :       ! deallocate the sparse matrices
    2664         426 :       CALL dbcsr_deallocate_matrix_set(op_mom_ao)
    2665         426 :       CALL dbcsr_deallocate_matrix_set(op_mom_der_ao)
    2666         426 :       CALL dbcsr_deallocate_matrix_set(op_p_ao)
    2667             : 
    2668         426 :       CALL cp_fm_release(psi0)
    2669         426 :       CALL cp_fm_release(psi_rxp)
    2670         426 :       CALL cp_fm_release(psi_D)
    2671         426 :       CALL cp_fm_release(psi_p1)
    2672         426 :       CALL cp_fm_release(psi_p2)
    2673        1704 :       DO idir = 1, 3
    2674        1278 :          CALL cp_fm_release(p_rxp(idir))
    2675        1278 :          CALL cp_fm_release(r_p1(idir))
    2676        1278 :          CALL cp_fm_release(r_p2(idir))
    2677       13206 :          DO idir2 = 1, 9
    2678       11502 :             CALL cp_fm_release(rr_rxp(idir2, idir))
    2679       11502 :             CALL cp_fm_release(rr_p1(idir2, idir))
    2680       12780 :             CALL cp_fm_release(rr_p2(idir2, idir))
    2681             :          END DO
    2682             :       END DO
    2683             : 
    2684         426 :       CALL timestop(handle)
    2685             : 
    2686        2556 :    END SUBROUTINE current_build_chi_many_centers
    2687             : 
    2688             : ! **************************************************************************************************
    2689             : !> \brief ...
    2690             : !> \param current_env ...
    2691             : !> \param qs_env ...
    2692             : !> \param iB ...
    2693             : ! **************************************************************************************************
    2694          96 :    SUBROUTINE current_build_chi_one_center(current_env, qs_env, iB)
    2695             :       !
    2696             :       TYPE(current_env_type)                             :: current_env
    2697             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2698             :       INTEGER, INTENT(IN)                                :: iB
    2699             : 
    2700             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'current_build_chi_one_center'
    2701             : 
    2702             :       INTEGER :: handle, idir, idir2, iiB, iiiB, ispin, jdir, jjdir, kdir, max_states, nao, natom, &
    2703             :          nbr_center(2), nmo, nspins, nstates(2), output_unit
    2704             :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: first_sgf, last_sgf
    2705          96 :       INTEGER, DIMENSION(:), POINTER                     :: row_blk_sizes
    2706             :       LOGICAL                                            :: chi_pbc, gapw
    2707             :       REAL(dp)                                           :: chi(3), contrib, dk(3), int_current(3), &
    2708             :                                                             maxocc
    2709             :       TYPE(cell_type), POINTER                           :: cell
    2710          96 :       TYPE(cp_2d_i_p_type), DIMENSION(:), POINTER        :: center_list
    2711          96 :       TYPE(cp_2d_r_p_type), DIMENSION(:), POINTER        :: centers_set
    2712             :       TYPE(cp_fm_type)                                   :: buf
    2713          96 :       TYPE(cp_fm_type), DIMENSION(:), POINTER            :: psi0_order
    2714          96 :       TYPE(cp_fm_type), DIMENSION(:, :), POINTER         :: psi1_p, psi1_rxp
    2715             :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
    2716             :       TYPE(cp_logger_type), POINTER                      :: logger
    2717             :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
    2718          96 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: op_mom_ao, op_p_ao
    2719          96 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: op_mom_der_ao
    2720             :       TYPE(dft_control_type), POINTER                    :: dft_control
    2721          96 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
    2722             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    2723             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    2724          96 :          POINTER                                         :: sab_all, sab_orb
    2725          96 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    2726          96 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    2727             : 
    2728             : !
    2729             : 
    2730          96 :       CALL timeset(routineN, handle)
    2731             :       !
    2732          96 :       NULLIFY (dft_control, mos, para_env, mo_coeff, op_mom_ao, &
    2733          96 :                op_mom_der_ao, center_list, centers_set, &
    2734          96 :                op_p_ao, psi1_p, psi1_rxp, cell, psi0_order)
    2735             : 
    2736          96 :       logger => cp_get_default_logger()
    2737          96 :       output_unit = cp_logger_get_default_io_unit(logger)
    2738             : 
    2739             :       CALL get_qs_env(qs_env=qs_env, &
    2740             :                       dft_control=dft_control, &
    2741             :                       mos=mos, &
    2742             :                       para_env=para_env, &
    2743             :                       cell=cell, &
    2744             :                       particle_set=particle_set, &
    2745             :                       qs_kind_set=qs_kind_set, &
    2746             :                       sab_all=sab_all, &
    2747             :                       sab_orb=sab_orb, &
    2748          96 :                       dbcsr_dist=dbcsr_dist)
    2749             : 
    2750          96 :       nspins = dft_control%nspins
    2751          96 :       gapw = dft_control%qs_control%gapw
    2752             : 
    2753             :       CALL get_current_env(current_env=current_env, &
    2754             :                            chi_pbc=chi_pbc, &
    2755             :                            nao=nao, &
    2756             :                            nbr_center=nbr_center, &
    2757             :                            center_list=center_list, &
    2758             :                            centers_set=centers_set, &
    2759             :                            psi1_p=psi1_p, &
    2760             :                            psi1_rxp=psi1_rxp, &
    2761             :                            nstates=nstates, &
    2762          96 :                            psi0_order=psi0_order)
    2763             :       !
    2764         228 :       max_states = MAXVAL(nstates(1:nspins))
    2765             :       !
    2766             :       ! Allocate sparse matrices for dipole, quadrupole and their derivatives => 9x3
    2767             :       ! Remember the derivatives are antisymmetric
    2768          96 :       CALL dbcsr_allocate_matrix_set(op_mom_ao, 9)
    2769          96 :       CALL dbcsr_allocate_matrix_set(op_mom_der_ao, 9, 3)
    2770             :       !
    2771             :       ! prepare for allocation
    2772          96 :       natom = SIZE(particle_set, 1)
    2773         288 :       ALLOCATE (first_sgf(natom))
    2774         192 :       ALLOCATE (last_sgf(natom))
    2775             :       CALL get_particle_set(particle_set, qs_kind_set, &
    2776             :                             first_sgf=first_sgf, &
    2777          96 :                             last_sgf=last_sgf)
    2778         192 :       ALLOCATE (row_blk_sizes(natom))
    2779          96 :       CALL dbcsr_convert_offsets_to_sizes(first_sgf, row_blk_sizes, last_sgf)
    2780          96 :       DEALLOCATE (first_sgf)
    2781          96 :       DEALLOCATE (last_sgf)
    2782             :       !
    2783             :       !
    2784          96 :       ALLOCATE (op_mom_ao(1)%matrix)
    2785             :       CALL dbcsr_create(matrix=op_mom_ao(1)%matrix, &
    2786             :                         name="op_mom", &
    2787             :                         dist=dbcsr_dist, matrix_type=dbcsr_type_no_symmetry, &
    2788             :                         row_blk_size=row_blk_sizes, col_blk_size=row_blk_sizes, &
    2789          96 :                         nze=0, mutable_work=.TRUE.)
    2790          96 :       CALL cp_dbcsr_alloc_block_from_nbl(op_mom_ao(1)%matrix, sab_all)
    2791             : 
    2792         384 :       DO idir2 = 1, 3
    2793         288 :          ALLOCATE (op_mom_der_ao(1, idir2)%matrix)
    2794             :          CALL dbcsr_copy(op_mom_der_ao(1, idir2)%matrix, op_mom_ao(1)%matrix, &
    2795         384 :                          "op_mom_der_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir2))))
    2796             :       END DO
    2797             : 
    2798         864 :       DO idir = 2, SIZE(op_mom_ao, 1)
    2799         768 :          ALLOCATE (op_mom_ao(idir)%matrix)
    2800             :          CALL dbcsr_copy(op_mom_ao(idir)%matrix, op_mom_ao(1)%matrix, &
    2801         768 :                          "op_mom_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir))))
    2802        3168 :          DO idir2 = 1, 3
    2803        2304 :             ALLOCATE (op_mom_der_ao(idir, idir2)%matrix)
    2804             :             CALL dbcsr_copy(op_mom_der_ao(idir, idir2)%matrix, op_mom_ao(1)%matrix, &
    2805        3072 :                             "op_mom_der_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir*idir2))))
    2806             :          END DO
    2807             :       END DO
    2808             :       !
    2809          96 :       CALL dbcsr_allocate_matrix_set(op_p_ao, 3)
    2810          96 :       ALLOCATE (op_p_ao(1)%matrix)
    2811             :       CALL dbcsr_create(matrix=op_p_ao(1)%matrix, &
    2812             :                         name="op_p_ao", &
    2813             :                         dist=dbcsr_dist, matrix_type=dbcsr_type_antisymmetric, &
    2814             :                         row_blk_size=row_blk_sizes, col_blk_size=row_blk_sizes, &
    2815          96 :                         nze=0, mutable_work=.TRUE.)
    2816          96 :       CALL cp_dbcsr_alloc_block_from_nbl(op_p_ao(1)%matrix, sab_orb)
    2817             : 
    2818         288 :       DO idir = 2, 3
    2819         192 :          ALLOCATE (op_p_ao(idir)%matrix)
    2820             :          CALL dbcsr_copy(op_p_ao(idir)%matrix, op_p_ao(1)%matrix, &
    2821         288 :                          "op_p_ao"//"-"//TRIM(ADJUSTL(cp_to_string(idir))))
    2822             :       END DO
    2823             :       !
    2824             :       !
    2825          96 :       DEALLOCATE (row_blk_sizes)
    2826             :       !
    2827             :       ! recompute the linear momentum matrices
    2828          96 :       CALL build_lin_mom_matrix(qs_env, op_p_ao)
    2829             :       !CALL p_xyz_ao(op_p_ao,qs_env,minimum_image=.FALSE.)
    2830             :       !
    2831             :       !
    2832             :       ! get iiB and iiiB
    2833          96 :       CALL set_vecp(iB, iiB, iiiB)
    2834         228 :       DO ispin = 1, nspins
    2835             :          !
    2836         132 :          CPASSERT(nbr_center(ispin) == 1)
    2837             :          !
    2838             :          ! get ground state MOS
    2839         132 :          nmo = nstates(ispin)
    2840         132 :          mo_coeff => psi0_order(ispin)
    2841         132 :          CALL get_mo_set(mo_set=mos(ispin), maxocc=maxocc)
    2842             :          !
    2843             :          ! Create buffer matrix
    2844         132 :          CALL cp_fm_create(buf, mo_coeff%matrix_struct)
    2845             :          !
    2846             :          ! Initialize the temporary vector chi
    2847         132 :          chi = 0.0_dp
    2848             :          int_current = 0.0_dp
    2849             :          !
    2850             :          !
    2851             :          ! Get the Wannier center of the istate-th ground state orbital
    2852         528 :          dk(1:3) = centers_set(ispin)%array(1:3, 1)
    2853             :          !
    2854             :          ! Compute the multipole integrals for the state istate,
    2855             :          ! using as reference center the corresponding Wannier center
    2856        1320 :          DO idir = 1, 9
    2857        1188 :             CALL dbcsr_set(op_mom_ao(idir)%matrix, 0.0_dp)
    2858        4884 :             DO idir2 = 1, 3
    2859        4752 :                CALL dbcsr_set(op_mom_der_ao(idir, idir2)%matrix, 0.0_dp)
    2860             :             END DO
    2861             :          END DO
    2862             :          CALL rRc_xyz_der_ao(op_mom_ao, op_mom_der_ao, qs_env, dk, order=2, &
    2863         132 :                              minimum_image=.FALSE., soft=gapw)
    2864             :          !
    2865             :          !
    2866             :          ! Multuply left and right by the appropriate coefficients and sum into the
    2867             :          ! correct component of the chi tensor using the appropriate multiplicative factor
    2868             :          ! (don't forget the occupation number)
    2869             :          ! Loop over the cartesian components of the tensor
    2870             :          ! The loop over the components of the external field is external, thereby
    2871             :          ! only one column of the chi tensor is computed here
    2872         528 :          DO idir = 1, 3
    2873             :             !
    2874             :             !
    2875             :             !
    2876             :             ! term: dk_ii*2[C0| d_iii(C1(rxp-D))] - dk_iii*2[C0| d_ii(C1(rxp-D))]
    2877         396 :             IF (.NOT. chi_pbc) THEN
    2878             :                CALL cp_dbcsr_sm_fm_multiply(op_p_ao(idir)%matrix, mo_coeff, &
    2879         396 :                                             buf, ncol=nmo, alpha=1.e0_dp)
    2880        1584 :                DO jdir = 1, 3
    2881        5148 :                   DO kdir = 1, 3
    2882        3564 :                      IF (Levi_Civita(kdir, jdir, idir) .EQ. 0.0_dp) CYCLE
    2883         792 :                      CALL cp_fm_trace(buf, psi1_rxp(ispin, iB), contrib)
    2884        4752 :                      chi(kdir) = chi(kdir) - Levi_Civita(kdir, jdir, idir)*2.0_dp*dk(jdir)*contrib
    2885             :                   END DO
    2886             :                END DO
    2887             :             END IF
    2888             :             !
    2889             :             !
    2890             :             !
    2891             :             ! term: 2[C0| (r-dk)_ii |d_iii(C1(rxp-D))]-2[C0| (r-dk)_iii |d_ii(C1(rxp-D))]
    2892             :             ! and
    2893             :             ! term: -dk_ii * 2[C0|(r-dk)_iiB | d_iii(C1(piiiB))] +
    2894             :             !       +dk_iii * 2[C0|(r-dk)_iiB | d_ii(C1(piiiB))]
    2895             :             ! and
    2896             :             ! term: +dk_ii * 2[C0|(r-dk)_iiiB | d_iii(C1(piiB))] +
    2897             :             !       -dk_iii * 2[C0|(r-dk)_iiiB | d_ii(C1(piiB))]
    2898        1584 :             DO jdir = 1, 3
    2899             :                CALL cp_dbcsr_sm_fm_multiply(op_mom_der_ao(jdir, idir)%matrix, mo_coeff, &
    2900        1188 :                                             buf, ncol=nmo, alpha=1.e0_dp)
    2901        4752 :                DO kdir = 1, 3
    2902        3564 :                   IF (Levi_Civita(kdir, jdir, idir) .EQ. 0.0_dp) CYCLE
    2903         792 :                   CALL cp_fm_trace(buf, psi1_rxp(ispin, iB), contrib)
    2904        4752 :                   chi(kdir) = chi(kdir) - Levi_Civita(kdir, jdir, idir)*2.0_dp*contrib
    2905             :                END DO
    2906             :                !
    2907        1584 :                IF (.NOT. chi_pbc) THEN
    2908        1188 :                   IF (jdir .EQ. iiB) THEN
    2909        1584 :                      DO jjdir = 1, 3
    2910        5148 :                         DO kdir = 1, 3
    2911        3564 :                            IF (Levi_Civita(kdir, jjdir, idir) .EQ. 0.0_dp) CYCLE
    2912         792 :                            CALL cp_fm_trace(buf, psi1_p(ispin, iiiB), contrib)
    2913        4752 :                            chi(kdir) = chi(kdir) + Levi_Civita(kdir, jjdir, idir)*2.0_dp*dk(jjdir)*contrib
    2914             :                         END DO
    2915             :                      END DO
    2916             :                   END IF
    2917             :                   !
    2918        1188 :                   IF (jdir .EQ. iiiB) THEN
    2919        1584 :                      DO jjdir = 1, 3
    2920        5148 :                         DO kdir = 1, 3
    2921        3564 :                            IF (Levi_Civita(kdir, jjdir, idir) .EQ. 0.0_dp) CYCLE
    2922         792 :                            CALL cp_fm_trace(buf, psi1_p(ispin, iiB), contrib)
    2923        4752 :                            chi(kdir) = chi(kdir) - Levi_Civita(kdir, jjdir, idir)*2.0_dp*dk(jjdir)*contrib
    2924             :                         END DO
    2925             :                      END DO
    2926             :                   END IF
    2927             :                END IF
    2928             :             END DO
    2929             :             !
    2930             :             !
    2931             :             !
    2932             :             ! term1: -2[C0| (r-dk)_ii  (r-dk)_iiB | d_iii(C1(piiiB))] +
    2933             :             !        +2[C0| (r-dk)_iii (r-dk)_iiB | d_ii(C1(piiiB))]
    2934             :             ! and
    2935             :             ! term1: +2[C0| (r-dk)_ii  (r-dk)_iiiB | d_iii(C1(piiB))] +
    2936             :             !        -2[C0| (r-dk)_iii (r-dk)_iiiB | d_ii(C1(piiB))]
    2937             :             ! HERE THERE IS ONE EXTRA MULTIPLY
    2938        1584 :             DO jdir = 1, 3
    2939             :                CALL cp_dbcsr_sm_fm_multiply(op_mom_der_ao(ind_m2(jdir, iiB), idir)%matrix, mo_coeff, &
    2940        1188 :                                             buf, ncol=nmo, alpha=1.e0_dp)
    2941        4752 :                DO kdir = 1, 3
    2942        3564 :                   IF (Levi_Civita(kdir, jdir, idir) .EQ. 0.0_dp) CYCLE
    2943         792 :                   CALL cp_fm_trace(buf, psi1_p(ispin, iiiB), contrib)
    2944        4752 :                   chi(kdir) = chi(kdir) + Levi_Civita(kdir, jdir, idir)*2.0_dp*contrib
    2945             :                END DO
    2946             :                !
    2947             :                CALL cp_dbcsr_sm_fm_multiply(op_mom_der_ao(ind_m2(jdir, iiiB), idir)%matrix, mo_coeff, &
    2948        1188 :                                             buf, ncol=nmo, alpha=1.e0_dp)
    2949        5148 :                DO kdir = 1, 3
    2950        3564 :                   IF (Levi_Civita(kdir, jdir, idir) .EQ. 0.0_dp) CYCLE
    2951         792 :                   CALL cp_fm_trace(buf, psi1_p(ispin, iiB), contrib)
    2952        4752 :                   chi(kdir) = chi(kdir) - Levi_Civita(kdir, jdir, idir)*2.0_dp*contrib
    2953             :                END DO
    2954             :             END DO
    2955             :             !
    2956             :             !
    2957             :             !
    2958             :             ! term2: -2[C0| (r-dk)_ii  (r-dk)_iiB | d_iii(C1(piiiB))] +
    2959             :             !        +2[C0| (r-dk)_iii (r-dk)_iiB | d_ii(C1(piiiB))]
    2960             :             ! and
    2961             :             ! term2: +2[C0| (r-dk)_ii  (r-dk)_iiiB | d_iii(C1(piiB))] +
    2962             :             !        -2[C0| (r-dk)_iii (r-dk)_iiiB | d_ii(C1(piiB))]
    2963             :             CALL cp_dbcsr_sm_fm_multiply(op_mom_ao(idir)%matrix, mo_coeff, &
    2964         396 :                                          buf, ncol=nmo, alpha=1.e0_dp)
    2965        1584 :             DO jdir = 1, 3
    2966        5148 :                DO kdir = 1, 3
    2967        3564 :                   IF (Levi_Civita(kdir, idir, jdir) .EQ. 0.0_dp) CYCLE
    2968        1980 :                   IF (iiB == jdir) THEN
    2969         264 :                      CALL cp_fm_trace(buf, psi1_p(ispin, iiiB), contrib)
    2970         264 :                      chi(kdir) = chi(kdir) + Levi_Civita(kdir, idir, jdir)*contrib
    2971             :                   END IF
    2972             :                END DO
    2973             :             END DO
    2974             :             !
    2975        1716 :             DO jdir = 1, 3
    2976        5148 :                DO kdir = 1, 3
    2977        3564 :                   IF (Levi_Civita(kdir, idir, jdir) .EQ. 0.0_dp) CYCLE
    2978        1980 :                   IF (iiiB == jdir) THEN
    2979         264 :                      CALL cp_fm_trace(buf, psi1_p(ispin, iiB), contrib)
    2980         264 :                      chi(kdir) = chi(kdir) - Levi_Civita(kdir, idir, jdir)*contrib
    2981             :                   END IF
    2982             :                   !
    2983             :                END DO
    2984             :             END DO
    2985             :             !
    2986             :             !
    2987             :             !
    2988             :             !
    2989             :          END DO ! idir
    2990             :          !
    2991         528 :          DO idir = 1, 3
    2992             :             current_env%chi_tensor(idir, iB, ispin) = current_env%chi_tensor(idir, iB, ispin) + &
    2993         396 :                                                       maxocc*chi(idir)
    2994         132 :             IF (output_unit > 0) THEN
    2995             :                !WRITE(output_unit,'(A,E12.6)') ' chi_'//ACHAR(119+idir)//ACHAR(119+iB)//&
    2996             :                !     &                         ' = ',maxocc * chi(idir)
    2997             :             END IF
    2998             :          END DO
    2999             :          !
    3000         360 :          CALL cp_fm_release(buf)
    3001             :       END DO ! ispin
    3002             :       !
    3003             :       ! deallocate the sparse matrices
    3004          96 :       CALL dbcsr_deallocate_matrix_set(op_mom_ao)
    3005          96 :       CALL dbcsr_deallocate_matrix_set(op_mom_der_ao)
    3006          96 :       CALL dbcsr_deallocate_matrix_set(op_p_ao)
    3007             : 
    3008          96 :       CALL timestop(handle)
    3009             : 
    3010         192 :    END SUBROUTINE current_build_chi_one_center
    3011             : 
    3012           0 : END MODULE qs_linres_current

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