LCOV - code coverage report
Current view: top level - src - qs_linres_epr_ownutils.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:1425fcd) Lines: 328 328 100.0 %
Date: 2024-05-08 07:14:22 Functions: 5 5 100.0 %

          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             : !> \par History
      10             : !>       created 06-2006 [RD]
      11             : !> \author RD
      12             : ! **************************************************************************************************
      13             : MODULE qs_linres_epr_ownutils
      14             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      15             :                                               get_atomic_kind
      16             :    USE cell_types,                      ONLY: cell_type
      17             :    USE cp_control_types,                ONLY: dft_control_type
      18             :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      19             :                                               cp_logger_type
      20             :    USE cp_output_handling,              ONLY: cp_p_file,&
      21             :                                               cp_print_key_finished_output,&
      22             :                                               cp_print_key_should_output,&
      23             :                                               cp_print_key_unit_nr
      24             :    USE dbcsr_api,                       ONLY: dbcsr_p_type
      25             :    USE input_section_types,             ONLY: section_vals_get_subs_vals,&
      26             :                                               section_vals_type,&
      27             :                                               section_vals_val_get
      28             :    USE kinds,                           ONLY: default_string_length,&
      29             :                                               dp
      30             :    USE mathlib,                         ONLY: diamat_all
      31             :    USE message_passing,                 ONLY: mp_para_env_type
      32             :    USE particle_types,                  ONLY: particle_type
      33             :    USE pw_env_types,                    ONLY: pw_env_get,&
      34             :                                               pw_env_type
      35             :    USE pw_methods,                      ONLY: pw_axpy,&
      36             :                                               pw_integral_ab,&
      37             :                                               pw_scale,&
      38             :                                               pw_transfer,&
      39             :                                               pw_zero
      40             :    USE pw_pool_types,                   ONLY: pw_pool_p_type,&
      41             :                                               pw_pool_type
      42             :    USE pw_spline_utils,                 ONLY: Eval_Interp_Spl3_pbc,&
      43             :                                               find_coeffs,&
      44             :                                               pw_spline_do_precond,&
      45             :                                               pw_spline_precond_create,&
      46             :                                               pw_spline_precond_release,&
      47             :                                               pw_spline_precond_set_kind,&
      48             :                                               pw_spline_precond_type,&
      49             :                                               spl3_pbc
      50             :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      51             :                                               pw_r3d_rs_type
      52             :    USE qs_core_energies,                ONLY: calculate_ptrace
      53             :    USE qs_environment_types,            ONLY: get_qs_env,&
      54             :                                               qs_environment_type
      55             :    USE qs_grid_atom,                    ONLY: grid_atom_type
      56             :    USE qs_harmonics_atom,               ONLY: harmonics_atom_type
      57             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      58             :                                               qs_kind_type
      59             :    USE qs_linres_nmr_epr_common_utils,  ONLY: mult_G_ov_G2_grid
      60             :    USE qs_linres_op,                    ONLY: fac_vecp,&
      61             :                                               set_vecp,&
      62             :                                               set_vecp_rev
      63             :    USE qs_linres_types,                 ONLY: current_env_type,&
      64             :                                               epr_env_type,&
      65             :                                               get_current_env,&
      66             :                                               get_epr_env,&
      67             :                                               jrho_atom_type,&
      68             :                                               nablavks_atom_type
      69             :    USE qs_rho_atom_types,               ONLY: get_rho_atom,&
      70             :                                               rho_atom_coeff,&
      71             :                                               rho_atom_type
      72             :    USE qs_rho_types,                    ONLY: qs_rho_get,&
      73             :                                               qs_rho_p_type,&
      74             :                                               qs_rho_type
      75             :    USE realspace_grid_types,            ONLY: realspace_grid_desc_type
      76             :    USE util,                            ONLY: get_limit
      77             : #include "./base/base_uses.f90"
      78             : 
      79             :    IMPLICIT NONE
      80             : 
      81             :    PRIVATE
      82             :    PUBLIC :: epr_g_print, epr_g_zke, epr_g_so, epr_g_soo, epr_ind_magnetic_field
      83             : 
      84             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_linres_epr_ownutils'
      85             : 
      86             : CONTAINS
      87             : 
      88             : ! **************************************************************************************************
      89             : !> \brief Prints the g tensor
      90             : !> \param epr_env ...
      91             : !> \param qs_env ...
      92             : !> \par History
      93             : !>      06.2006 created [RD]
      94             : !> \author RD
      95             : ! **************************************************************************************************
      96          14 :    SUBROUTINE epr_g_print(epr_env, qs_env)
      97             : 
      98             :       TYPE(epr_env_type)                                 :: epr_env
      99             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     100             : 
     101             :       CHARACTER(LEN=default_string_length)               :: title
     102             :       INTEGER                                            :: idir1, idir2, output_unit, unit_nr
     103             :       REAL(KIND=dp)                                      :: eigenv_g(3), g_sym(3, 3), gsum
     104             :       TYPE(cp_logger_type), POINTER                      :: logger
     105             :       TYPE(section_vals_type), POINTER                   :: lr_section
     106             : 
     107          14 :       NULLIFY (logger, lr_section)
     108             : 
     109          14 :       logger => cp_get_default_logger()
     110          14 :       lr_section => section_vals_get_subs_vals(qs_env%input, "PROPERTIES%LINRES")
     111             : 
     112             :       output_unit = cp_print_key_unit_nr(logger, lr_section, "PRINT%PROGRAM_RUN_INFO", &
     113          14 :                                          extension=".linresLog")
     114             : 
     115          14 :       gsum = 0.0_dp
     116             : 
     117          56 :       DO idir1 = 1, 3
     118         182 :          DO idir2 = 1, 3
     119         168 :             gsum = gsum + epr_env%g_total(idir1, idir2)
     120             :          END DO
     121             :       END DO
     122             : 
     123          14 :       IF (output_unit > 0) THEN
     124             :          WRITE (UNIT=output_unit, FMT="(T2,A,T56,E14.6)") &
     125           7 :             "epr|TOT:checksum", gsum
     126             :       END IF
     127             : 
     128             :       CALL cp_print_key_finished_output(output_unit, logger, lr_section, &
     129          14 :                                         "PRINT%PROGRAM_RUN_INFO")
     130             : 
     131          14 :       IF (BTEST(cp_print_key_should_output(logger%iter_info, lr_section, &
     132             :                                            "EPR%PRINT%G_TENSOR"), cp_p_file)) THEN
     133             : 
     134             :          unit_nr = cp_print_key_unit_nr(logger, lr_section, "EPR%PRINT%G_TENSOR", &
     135             :                                         extension=".data", middle_name="GTENSOR", &
     136          14 :                                         log_filename=.FALSE.)
     137             : 
     138          14 :          IF (unit_nr > 0) THEN
     139             : 
     140           7 :             WRITE (title, "(A)") "G tensor "
     141           7 :             WRITE (unit_nr, "(T2,A)") title
     142             : 
     143           7 :             WRITE (unit_nr, "(T2,A)") "gmatrix_zke"
     144           7 :             WRITE (unit_nr, "(3(A,f15.10))") " XX=", epr_env%g_zke, &
     145          14 :                " XY=", 0.0_dp, " XZ=", 0.0_dp
     146           7 :             WRITE (unit_nr, "(3(A,f15.10))") " YX=", 0.0_dp, &
     147          14 :                " YY=", epr_env%g_zke, " YZ=", 0.0_dp
     148           7 :             WRITE (unit_nr, "(3(A,f15.10))") " ZX=", 0.0_dp, &
     149          14 :                " ZY=", 0.0_dp, " ZZ=", epr_env%g_zke
     150             : 
     151           7 :             WRITE (unit_nr, "(T2,A)") "gmatrix_so"
     152           7 :             WRITE (unit_nr, "(3(A,f15.10))") " XX=", epr_env%g_so(1, 1), &
     153          14 :                " XY=", epr_env%g_so(1, 2), " XZ=", epr_env%g_so(1, 3)
     154           7 :             WRITE (unit_nr, "(3(A,f15.10))") " YX=", epr_env%g_so(2, 1), &
     155          14 :                " YY=", epr_env%g_so(2, 2), " YZ=", epr_env%g_so(2, 3)
     156           7 :             WRITE (unit_nr, "(3(A,f15.10))") " ZX=", epr_env%g_so(3, 1), &
     157          14 :                " ZY=", epr_env%g_so(3, 2), " ZZ=", epr_env%g_so(3, 3)
     158             : 
     159           7 :             WRITE (unit_nr, "(T2,A)") "gmatrix_soo"
     160           7 :             WRITE (unit_nr, "(3(A,f15.10))") " XX=", epr_env%g_soo(1, 1), &
     161          14 :                " XY=", epr_env%g_soo(1, 2), " XZ=", epr_env%g_soo(1, 3)
     162           7 :             WRITE (unit_nr, "(3(A,f15.10))") " YX=", epr_env%g_soo(2, 1), &
     163          14 :                " YY=", epr_env%g_soo(2, 2), " YZ=", epr_env%g_soo(2, 3)
     164           7 :             WRITE (unit_nr, "(3(A,f15.10))") " ZX=", epr_env%g_soo(3, 1), &
     165          14 :                " ZY=", epr_env%g_soo(3, 2), " ZZ=", epr_env%g_soo(3, 3)
     166             : 
     167           7 :             WRITE (unit_nr, "(T2,A)") "gmatrix_total"
     168           7 :             WRITE (unit_nr, "(3(A,f15.10))") " XX=", epr_env%g_total(1, 1) + epr_env%g_free_factor, &
     169          14 :                " XY=", epr_env%g_total(1, 2), " XZ=", epr_env%g_total(1, 3)
     170           7 :             WRITE (unit_nr, "(3(A,f15.10))") " YX=", epr_env%g_total(2, 1), &
     171          14 :                " YY=", epr_env%g_total(2, 2) + epr_env%g_free_factor, " YZ=", epr_env%g_total(2, 3)
     172           7 :             WRITE (unit_nr, "(3(A,f15.10))") " ZX=", epr_env%g_total(3, 1), &
     173          14 :                " ZY=", epr_env%g_total(3, 2), " ZZ=", epr_env%g_total(3, 3) + epr_env%g_free_factor
     174             : 
     175          28 :             DO idir1 = 1, 3
     176          91 :                DO idir2 = 1, 3
     177             :                   g_sym(idir1, idir2) = (epr_env%g_total(idir1, idir2) + &
     178          84 :                                          epr_env%g_total(idir2, idir1))/2.0_dp
     179             :                END DO
     180             :             END DO
     181             : 
     182           7 :             WRITE (unit_nr, "(T2,A)") "gtensor_total"
     183           7 :             WRITE (unit_nr, "(3(A,f15.10))") " XX=", g_sym(1, 1) + epr_env%g_free_factor, &
     184          14 :                " XY=", g_sym(1, 2), " XZ=", g_sym(1, 3)
     185           7 :             WRITE (unit_nr, "(3(A,f15.10))") " YX=", g_sym(2, 1), &
     186          14 :                " YY=", g_sym(2, 2) + epr_env%g_free_factor, " YZ=", g_sym(2, 3)
     187           7 :             WRITE (unit_nr, "(3(A,f15.10))") " ZX=", g_sym(3, 1), &
     188          14 :                " ZY=", g_sym(3, 2), " ZZ=", g_sym(3, 3) + epr_env%g_free_factor
     189             : 
     190           7 :             CALL diamat_all(g_sym, eigenv_g)
     191          28 :             eigenv_g(:) = eigenv_g(:)*1.0e6_dp
     192             : 
     193           7 :             WRITE (unit_nr, "(T2,A)") "delta_g principal values in ppm"
     194           7 :             WRITE (unit_nr, "(f15.3,3(A,f15.10))") eigenv_g(1), " X=", g_sym(1, 1), &
     195          14 :                " Y=", g_sym(2, 1), " Z=", g_sym(3, 1)
     196           7 :             WRITE (unit_nr, "(f15.3,3(A,f15.10))") eigenv_g(2), " X=", g_sym(1, 2), &
     197          14 :                " Y=", g_sym(2, 2), " Z=", g_sym(3, 2)
     198           7 :             WRITE (unit_nr, "(f15.3,3(A,f15.10))") eigenv_g(3), " X=", g_sym(1, 3), &
     199          14 :                " Y=", g_sym(2, 3), " Z=", g_sym(3, 3)
     200             : 
     201             :          END IF
     202             : 
     203             :          CALL cp_print_key_finished_output(unit_nr, logger, lr_section,&
     204          14 :               &                            "EPR%PRINT%G_TENSOR")
     205             : 
     206             :       END IF
     207             : 
     208          14 :    END SUBROUTINE epr_g_print
     209             : 
     210             : ! **************************************************************************************************
     211             : !> \brief Calculate zke part of the g tensor
     212             : !> \param epr_env ...
     213             : !> \param qs_env ...
     214             : !> \par History
     215             : !>      06.2006 created [RD]
     216             : !> \author RD
     217             : ! **************************************************************************************************
     218          14 :    SUBROUTINE epr_g_zke(epr_env, qs_env)
     219             : 
     220             :       TYPE(epr_env_type)                                 :: epr_env
     221             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     222             : 
     223             :       INTEGER                                            :: i1, ispin, output_unit
     224             :       REAL(KIND=dp)                                      :: epr_g_zke_temp(2)
     225             :       TYPE(cp_logger_type), POINTER                      :: logger
     226          14 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: kinetic, rho_ao
     227             :       TYPE(dft_control_type), POINTER                    :: dft_control
     228             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     229             :       TYPE(qs_rho_type), POINTER                         :: rho
     230             :       TYPE(section_vals_type), POINTER                   :: lr_section
     231             : 
     232          14 :       NULLIFY (dft_control, logger, lr_section, rho, kinetic, para_env, rho_ao)
     233             : 
     234          28 :       logger => cp_get_default_logger()
     235          14 :       lr_section => section_vals_get_subs_vals(qs_env%input, "PROPERTIES%LINRES")
     236             : 
     237             :       output_unit = cp_print_key_unit_nr(logger, lr_section, "PRINT%PROGRAM_RUN_INFO", &
     238          14 :                                          extension=".linresLog")
     239             : 
     240             :       CALL get_qs_env(qs_env=qs_env, dft_control=dft_control, &
     241          14 :                       kinetic=kinetic, rho=rho, para_env=para_env)
     242             : 
     243          14 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
     244             : 
     245          42 :       DO ispin = 1, dft_control%nspins
     246             :          CALL calculate_ptrace(kinetic(1)%matrix, rho_ao(ispin)%matrix, &
     247          42 :                                ecore=epr_g_zke_temp(ispin))
     248             :       END DO
     249             : 
     250          14 :       epr_env%g_zke = epr_env%g_zke_factor*(epr_g_zke_temp(1) - epr_g_zke_temp(2))
     251          56 :       DO i1 = 1, 3
     252          56 :          epr_env%g_total(i1, i1) = epr_env%g_total(i1, i1) + epr_env%g_zke
     253             :       END DO
     254             : 
     255          14 :       IF (output_unit > 0) THEN
     256             :          WRITE (UNIT=output_unit, FMT="(T2,A,T56,E24.16)") &
     257           7 :             "epr|ZKE:g_zke", epr_env%g_zke
     258             :       END IF
     259             : 
     260             :       CALL cp_print_key_finished_output(output_unit, logger, lr_section, &
     261          14 :                                         "PRINT%PROGRAM_RUN_INFO")
     262             : 
     263          14 :    END SUBROUTINE epr_g_zke
     264             : 
     265             : ! **************************************************************************************************
     266             : !> \brief Calculates g_so
     267             : !> \param epr_env ...
     268             : !> \param current_env ...
     269             : !> \param qs_env ...
     270             : !> \param iB ...
     271             : !> \par History
     272             : !>      06.2006 created [RD]
     273             : !> \author RD
     274             : ! **************************************************************************************************
     275          42 :    SUBROUTINE epr_g_so(epr_env, current_env, qs_env, iB)
     276             : 
     277             :       TYPE(epr_env_type)                                 :: epr_env
     278             :       TYPE(current_env_type)                             :: current_env
     279             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     280             :       INTEGER, INTENT(IN)                                :: iB
     281             : 
     282             :       INTEGER                                            :: aint_precond, ia, iat, iatom, idir1, &
     283             :                                                             idir2, idir3, ikind, ir, ispin, &
     284             :                                                             max_iter, natom, nkind, nspins, &
     285             :                                                             output_unit, precond_kind
     286             :       INTEGER, DIMENSION(2)                              :: bo
     287          42 :       INTEGER, DIMENSION(:), POINTER                     :: atom_list
     288             :       LOGICAL                                            :: gapw, paw_atom, success
     289             :       REAL(dp)                                           :: eps_r, eps_x, hard_radius, temp_so_soft, &
     290             :                                                             vks_ra_idir2, vks_ra_idir3
     291             :       REAL(dp), DIMENSION(3, 3)                          :: temp_so_gapw
     292          42 :       REAL(dp), DIMENSION(:, :), POINTER                 :: g_so, g_total
     293             :       REAL(KIND=dp), DIMENSION(3)                        :: ra
     294          42 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     295             :       TYPE(cp_logger_type), POINTER                      :: logger
     296             :       TYPE(dft_control_type), POINTER                    :: dft_control
     297             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     298             :       TYPE(harmonics_atom_type), POINTER                 :: harmonics
     299          42 :       TYPE(jrho_atom_type), DIMENSION(:), POINTER        :: jrho1_atom_set
     300             :       TYPE(jrho_atom_type), POINTER                      :: jrho1_atom
     301             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     302          42 :       TYPE(nablavks_atom_type), DIMENSION(:), POINTER    :: nablavks_atom_set
     303             :       TYPE(nablavks_atom_type), POINTER                  :: nablavks_atom
     304          42 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     305             :       TYPE(pw_env_type), POINTER                         :: pw_env
     306             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     307          42 :       TYPE(pw_r3d_rs_type), ALLOCATABLE, DIMENSION(:, :) :: vks_pw_spline
     308          42 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: jrho2_r, jrho3_r, nrho1_r, nrho2_r, &
     309          42 :                                                             nrho3_r
     310             :       TYPE(pw_spline_precond_type)                       :: precond
     311          42 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     312          42 :       TYPE(qs_rho_p_type), DIMENSION(:), POINTER         :: jrho1_set
     313          42 :       TYPE(qs_rho_p_type), DIMENSION(:, :), POINTER      :: nablavks_set
     314             :       TYPE(section_vals_type), POINTER                   :: interp_section, lr_section
     315             : 
     316          42 :       NULLIFY (atomic_kind_set, qs_kind_set, atom_list, dft_control, &
     317          42 :                grid_atom, g_so, g_total, harmonics, interp_section, jrho1_atom_set, &
     318          42 :                jrho1_set, logger, lr_section, nablavks_atom, nablavks_atom_set, &
     319          42 :                nablavks_set, para_env, particle_set, jrho2_r, jrho3_r, nrho1_r, nrho2_r, nrho3_r)
     320             : 
     321          84 :       logger => cp_get_default_logger()
     322          42 :       lr_section => section_vals_get_subs_vals(qs_env%input, "PROPERTIES%LINRES")
     323             : 
     324             :       output_unit = cp_print_key_unit_nr(logger, lr_section, "PRINT%PROGRAM_RUN_INFO", &
     325          42 :                                          extension=".linresLog")
     326             : 
     327             :       CALL get_qs_env(qs_env=qs_env, dft_control=dft_control, &
     328             :                       atomic_kind_set=atomic_kind_set, &
     329             :                       qs_kind_set=qs_kind_set, &
     330             :                       para_env=para_env, pw_env=pw_env, &
     331          42 :                       particle_set=particle_set)
     332             : 
     333             :       CALL get_epr_env(epr_env=epr_env, &
     334             :                        nablavks_set=nablavks_set, &
     335             :                        nablavks_atom_set=nablavks_atom_set, &
     336          42 :                        g_total=g_total, g_so=g_so)
     337             : 
     338             :       CALL get_current_env(current_env=current_env, &
     339          42 :                            jrho1_set=jrho1_set, jrho1_atom_set=jrho1_atom_set)
     340             : 
     341          42 :       gapw = dft_control%qs_control%gapw
     342          42 :       nkind = SIZE(qs_kind_set, 1)
     343          42 :       nspins = dft_control%nspins
     344             : 
     345         168 :       DO idir1 = 1, 3
     346         126 :          CALL set_vecp(idir1, idir2, idir3)
     347             :          ! j_pw x nabla_vks_pw
     348         126 :          temp_so_soft = 0.0_dp
     349         378 :          DO ispin = 1, nspins
     350         252 :             CALL qs_rho_get(jrho1_set(idir2)%rho, rho_r=jrho2_r)
     351         252 :             CALL qs_rho_get(jrho1_set(idir3)%rho, rho_r=jrho3_r)
     352         252 :             CALL qs_rho_get(nablavks_set(idir2, ispin)%rho, rho_r=nrho2_r)
     353         252 :             CALL qs_rho_get(nablavks_set(idir3, ispin)%rho, rho_r=nrho3_r)
     354             :             temp_so_soft = temp_so_soft + (-1.0_dp)**(1 + ispin)*( &
     355             :                            pw_integral_ab(jrho2_r(ispin), nrho3_r(1)) - &
     356         378 :                            pw_integral_ab(jrho3_r(ispin), nrho2_r(1)))
     357             :          END DO
     358         126 :          temp_so_soft = -1.0_dp*epr_env%g_so_factor*temp_so_soft
     359         126 :          IF (output_unit > 0) THEN
     360             :             WRITE (UNIT=output_unit, FMT="(T2,A,T18,I1,I1,T56,E24.16)") &
     361          63 :                "epr|SOX:soft", iB, idir1, temp_so_soft
     362             :          END IF
     363         294 :          g_so(iB, idir1) = temp_so_soft
     364             :       END DO !idir1
     365             : 
     366          42 :       IF (gapw) THEN
     367             : 
     368          30 :          CALL pw_env_get(pw_env, auxbas_pw_pool=auxbas_pw_pool)
     369         330 :          ALLOCATE (vks_pw_spline(3, nspins))
     370             : 
     371             :          interp_section => section_vals_get_subs_vals(lr_section, &
     372          30 :                                                       "EPR%INTERPOLATOR")
     373             :          CALL section_vals_val_get(interp_section, "aint_precond", &
     374          30 :                                    i_val=aint_precond)
     375          30 :          CALL section_vals_val_get(interp_section, "precond", i_val=precond_kind)
     376          30 :          CALL section_vals_val_get(interp_section, "max_iter", i_val=max_iter)
     377          30 :          CALL section_vals_val_get(interp_section, "eps_r", r_val=eps_r)
     378          30 :          CALL section_vals_val_get(interp_section, "eps_x", r_val=eps_x)
     379             : 
     380          90 :          DO ispin = 1, nspins
     381         270 :             DO idir1 = 1, 3
     382         180 :                CALL auxbas_pw_pool%create_pw(vks_pw_spline(idir1, ispin))
     383             :                ! calculate spline coefficients
     384             :                CALL pw_spline_precond_create(precond, precond_kind=aint_precond, &
     385         180 :                                              pool=auxbas_pw_pool, pbc=.TRUE., transpose=.FALSE.)
     386         180 :                CALL qs_rho_get(nablavks_set(idir1, ispin)%rho, rho_r=nrho1_r)
     387             :                CALL pw_spline_do_precond(precond, nrho1_r(1), &
     388         180 :                                          vks_pw_spline(idir1, ispin))
     389         180 :                CALL pw_spline_precond_set_kind(precond, precond_kind)
     390             :                success = find_coeffs(values=nrho1_r(1), &
     391             :                                      coeffs=vks_pw_spline(idir1, ispin), linOp=spl3_pbc, &
     392             :                                      preconditioner=precond, pool=auxbas_pw_pool, &
     393         180 :                                      eps_r=eps_r, eps_x=eps_x, max_iter=max_iter)
     394         180 :                CPASSERT(success)
     395         240 :                CALL pw_spline_precond_release(precond)
     396             :             END DO ! idir1
     397             :          END DO ! ispin
     398             : 
     399          30 :          temp_so_gapw = 0.0_dp
     400             : 
     401          90 :          DO ikind = 1, nkind
     402          60 :             NULLIFY (atom_list, grid_atom, harmonics)
     403          60 :             CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=atom_list, natom=natom)
     404             :             CALL get_qs_kind(qs_kind_set(ikind), &
     405             :                              hard_radius=hard_radius, &
     406             :                              grid_atom=grid_atom, &
     407             :                              harmonics=harmonics, &
     408          60 :                              paw_atom=paw_atom)
     409             : 
     410          60 :             IF (.NOT. paw_atom) CYCLE
     411             : 
     412             :             ! Distribute the atoms of this kind
     413             : 
     414          60 :             bo = get_limit(natom, para_env%num_pe, para_env%mepos)
     415             : 
     416         240 :             DO iat = 1, natom !bo(1),bo(2)! this partitioning blocks the interpolation
     417             :                !                         ! routines (i.e. waiting for parallel sum)
     418          90 :                iatom = atom_list(iat)
     419          90 :                NULLIFY (jrho1_atom, nablavks_atom)
     420          90 :                jrho1_atom => jrho1_atom_set(iatom)
     421          90 :                nablavks_atom => nablavks_atom_set(iatom)
     422         420 :                DO idir1 = 1, 3
     423         270 :                   CALL set_vecp(idir1, idir2, idir3)
     424         900 :                   DO ispin = 1, nspins
     425       27810 :                      DO ir = 1, grid_atom%nr
     426             : 
     427       27000 :                         IF (grid_atom%rad(ir) >= hard_radius) CYCLE
     428             : 
     429      771660 :                         DO ia = 1, grid_atom%ng_sphere
     430             : 
     431     3024000 :                            ra = particle_set(iatom)%r
     432     3024000 :                            ra(:) = ra(:) + grid_atom%rad(ir)*harmonics%a(:, ia)
     433             :                            vks_ra_idir2 = Eval_Interp_Spl3_pbc(ra, &
     434      756000 :                                                                vks_pw_spline(idir2, ispin))
     435             :                            vks_ra_idir3 = Eval_Interp_Spl3_pbc(ra, &
     436      756000 :                                                                vks_pw_spline(idir3, ispin))
     437             : 
     438      756000 :                            IF (iat .LT. bo(1) .OR. iat .GT. bo(2)) CYCLE !quick and dirty:
     439             :                            !                                    !here take care of the partition
     440             : 
     441             :                            ! + sum_A j_loc_h_A x nabla_vks_s_A
     442             :                            temp_so_gapw(iB, idir1) = temp_so_gapw(iB, idir1) + &
     443             :                                                      (-1.0_dp)**(1 + ispin)*( &
     444             :                                                      jrho1_atom%jrho_vec_rad_h(idir2, ispin)%r_coef(ir, ia)* &
     445             :                                                      vks_ra_idir3 - &
     446             :                                                      jrho1_atom%jrho_vec_rad_h(idir3, ispin)%r_coef(ir, ia)* &
     447             :                                                      vks_ra_idir2 &
     448      378000 :                                                      )*grid_atom%wr(ir)*grid_atom%wa(ia)
     449             : 
     450             :                            ! - sum_A j_loc_s_A x nabla_vks_s_A
     451             :                            temp_so_gapw(iB, idir1) = temp_so_gapw(iB, idir1) - &
     452             :                                                      (-1.0_dp)**(1 + ispin)*( &
     453             :                                                      jrho1_atom%jrho_vec_rad_s(idir2, ispin)%r_coef(ir, ia)* &
     454             :                                                      vks_ra_idir3 - &
     455             :                                                      jrho1_atom%jrho_vec_rad_s(idir3, ispin)%r_coef(ir, ia)* &
     456             :                                                      vks_ra_idir2 &
     457      378000 :                                                      )*grid_atom%wr(ir)*grid_atom%wa(ia)
     458             : 
     459             :                            ! + sum_A j_loc_h_A x nabla_vks_loc_h_A
     460             :                            temp_so_gapw(iB, idir1) = temp_so_gapw(iB, idir1) + &
     461             :                                                      (-1.0_dp)**(1 + ispin)*( &
     462             :                                                      jrho1_atom%jrho_vec_rad_h(idir2, ispin)%r_coef(ir, ia)* &
     463             :                                                      nablavks_atom%nablavks_vec_rad_h(idir3, ispin)%r_coef(ir, ia) - &
     464             :                                                      jrho1_atom%jrho_vec_rad_h(idir3, ispin)%r_coef(ir, ia)* &
     465             :                                                      nablavks_atom%nablavks_vec_rad_h(idir2, ispin)%r_coef(ir, ia) &
     466      378000 :                                                      )*grid_atom%wr(ir)*grid_atom%wa(ia)
     467             : 
     468             :                            ! - sum_A j_loc_h_A x nabla_vks_loc_s_A
     469             :                            temp_so_gapw(iB, idir1) = temp_so_gapw(iB, idir1) - &
     470             :                                                      (-1.0_dp)**(1 + ispin)*( &
     471             :                                                      jrho1_atom%jrho_vec_rad_h(idir2, ispin)%r_coef(ir, ia)* &
     472             :                                                      nablavks_atom%nablavks_vec_rad_s(idir3, ispin)%r_coef(ir, ia) - &
     473             :                                                      jrho1_atom%jrho_vec_rad_h(idir3, ispin)%r_coef(ir, ia)* &
     474             :                                                      nablavks_atom%nablavks_vec_rad_s(idir2, ispin)%r_coef(ir, ia) &
     475      783000 :                                                      )*grid_atom%wr(ir)*grid_atom%wa(ia)
     476             : 
     477             : ! ORIGINAL
     478             : !                            ! + sum_A j_loc_h_A x nabla_vks_loc_h_A
     479             : !                            temp_so_gapw(iB,idir1) = temp_so_gapw(iB,idir1) + &
     480             : !                               (-1.0_dp)**(1.0_dp + REAL(ispin,KIND=dp)) * ( &
     481             : !                               jrho1_atom%jrho_vec_rad_h(idir2,iB,ispin)%r_coef(ir,ia) * &
     482             : !                               nablavks_atom%nablavks_vec_rad_h(idir3,ispin)%r_coef(ir,ia) - &
     483             : !                               jrho1_atom%jrho_vec_rad_h(idir3,iB,ispin)%r_coef(ir,ia) * &
     484             : !                               nablavks_atom%nablavks_vec_rad_h(idir2,ispin)%r_coef(ir,ia) &
     485             : !                               ) * grid_atom%wr(ir)*grid_atom%wa(ia)
     486             : !                            ! - sum_A j_loc_s_A x nabla_vks_loc_s_A
     487             : !                            temp_so_gapw(iB,idir1) = temp_so_gapw(iB,idir1) - &
     488             : !                               (-1.0_dp)**(1.0_dp + REAL(ispin,KIND=dp)) * ( &
     489             : !                               jrho1_atom%jrho_vec_rad_s(idir2,iB,ispin)%r_coef(ir,ia) * &
     490             : !                               nablavks_atom%nablavks_vec_rad_s(idir3,ispin)%r_coef(ir,ia) - &
     491             : !                               jrho1_atom%jrho_vec_rad_s(idir3,iB,ispin)%r_coef(ir,ia) * &
     492             : !                               nablavks_atom%nablavks_vec_rad_s(idir2,ispin)%r_coef(ir,ia) &
     493             : !                               ) * grid_atom%wr(ir)*grid_atom%wa(ia)
     494             :                         END DO !ia
     495             :                      END DO !ir
     496             :                   END DO !ispin
     497             :                END DO !idir1
     498             :             END DO !iat
     499             :          END DO !ikind
     500             : 
     501          30 :          CALL para_env%sum(temp_so_gapw)
     502         390 :          temp_so_gapw(:, :) = -1.0_dp*epr_env%g_so_factor_gapw*temp_so_gapw(:, :)
     503             : 
     504          30 :          IF (output_unit > 0) THEN
     505          60 :             DO idir1 = 1, 3
     506             :                WRITE (UNIT=output_unit, FMT="(T2,A,T18,I1,I1,T56,E24.16)") &
     507          60 :                   "epr|SOX:gapw", iB, idir1, temp_so_gapw(iB, idir1)
     508             :             END DO
     509             :          END IF
     510             : 
     511         120 :          g_so(iB, :) = g_so(iB, :) + temp_so_gapw(iB, :)
     512             : 
     513          90 :          DO ispin = 1, nspins
     514         270 :             DO idir1 = 1, 3
     515         240 :                CALL auxbas_pw_pool%give_back_pw(vks_pw_spline(idir1, ispin))
     516             :             END DO
     517             :          END DO
     518          60 :          DEALLOCATE (vks_pw_spline)
     519             : 
     520             :       END IF ! gapw
     521             : 
     522         294 :       g_total(iB, :) = g_total(iB, :) + g_so(iB, :)
     523             : 
     524             :       CALL cp_print_key_finished_output(output_unit, logger, lr_section, &
     525          42 :                                         "PRINT%PROGRAM_RUN_INFO")
     526             : 
     527         336 :    END SUBROUTINE epr_g_so
     528             : 
     529             : ! **************************************************************************************************
     530             : !> \brief Calculates g_soo (soft part only for now)
     531             : !> \param epr_env ...
     532             : !> \param current_env ...
     533             : !> \param qs_env ...
     534             : !> \param iB ...
     535             : !> \par History
     536             : !>      06.2006 created [RD]
     537             : !> \author RD
     538             : ! **************************************************************************************************
     539          42 :    SUBROUTINE epr_g_soo(epr_env, current_env, qs_env, iB)
     540             : 
     541             :       TYPE(epr_env_type)                                 :: epr_env
     542             :       TYPE(current_env_type)                             :: current_env
     543             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     544             :       INTEGER, INTENT(IN)                                :: iB
     545             : 
     546             :       INTEGER                                            :: aint_precond, ia, iat, iatom, idir1, &
     547             :                                                             ikind, ir, iso, ispin, max_iter, &
     548             :                                                             natom, nkind, nspins, output_unit, &
     549             :                                                             precond_kind
     550             :       INTEGER, DIMENSION(2)                              :: bo
     551          42 :       INTEGER, DIMENSION(:), POINTER                     :: atom_list
     552             :       LOGICAL                                            :: gapw, paw_atom, soo_rho_hard, success
     553             :       REAL(dp)                                           :: bind_ra_idir1, chi_tensor(3, 3, 2), &
     554             :                                                             eps_r, eps_x, hard_radius, rho_spin, &
     555             :                                                             temp_soo_soft
     556             :       REAL(dp), DIMENSION(3, 3)                          :: temp_soo_gapw
     557          42 :       REAL(dp), DIMENSION(:, :), POINTER                 :: g_soo, g_total
     558             :       REAL(KIND=dp), DIMENSION(3)                        :: ra
     559          42 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     560             :       TYPE(cp_logger_type), POINTER                      :: logger
     561             :       TYPE(dft_control_type), POINTER                    :: dft_control
     562             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     563             :       TYPE(harmonics_atom_type), POINTER                 :: harmonics
     564             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     565          42 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     566             :       TYPE(pw_env_type), POINTER                         :: pw_env
     567             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     568          42 :       TYPE(pw_r3d_rs_type), ALLOCATABLE, DIMENSION(:, :) :: bind_pw_spline
     569          84 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: brho1_r, rho_r
     570             :       TYPE(pw_spline_precond_type)                       :: precond
     571          42 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     572          42 :       TYPE(qs_rho_p_type), DIMENSION(:, :), POINTER      :: bind_set
     573             :       TYPE(qs_rho_type), POINTER                         :: rho
     574          42 :       TYPE(rho_atom_coeff), DIMENSION(:), POINTER        :: rho_rad_h, rho_rad_s
     575          42 :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
     576             :       TYPE(rho_atom_type), POINTER                       :: rho_atom
     577             :       TYPE(section_vals_type), POINTER                   :: g_section, interp_section, lr_section
     578             : 
     579          42 :       NULLIFY (atomic_kind_set, qs_kind_set, atom_list, bind_set, dft_control, &
     580          42 :                grid_atom, g_section, g_soo, g_total, harmonics, interp_section, &
     581          42 :                logger, lr_section, para_env, particle_set, rho, rho_atom, &
     582          42 :                rho_atom_set, rho_r, brho1_r)
     583             : 
     584          84 :       logger => cp_get_default_logger()
     585          42 :       lr_section => section_vals_get_subs_vals(qs_env%input, "PROPERTIES%LINRES")
     586             : 
     587             :       output_unit = cp_print_key_unit_nr(logger, lr_section, "PRINT%PROGRAM_RUN_INFO", &
     588          42 :                                          extension=".linresLog")
     589             : 
     590             :       g_section => section_vals_get_subs_vals(lr_section, &
     591          42 :                                               "EPR%PRINT%G_TENSOR")
     592             : 
     593          42 :       CALL section_vals_val_get(g_section, "soo_rho_hard", l_val=soo_rho_hard)
     594             : 
     595             :       CALL get_qs_env(qs_env=qs_env, atomic_kind_set=atomic_kind_set, qs_kind_set=qs_kind_set, &
     596             :                       dft_control=dft_control, para_env=para_env, particle_set=particle_set, &
     597          42 :                       pw_env=pw_env, rho=rho, rho_atom_set=rho_atom_set)
     598             : 
     599             :       CALL get_epr_env(epr_env=epr_env, bind_set=bind_set, &
     600          42 :                        g_soo=g_soo, g_total=g_total)
     601             : 
     602             :       CALL get_current_env(current_env=current_env, &
     603          42 :                            chi_tensor=chi_tensor)
     604          42 :       CALL qs_rho_get(rho, rho_r=rho_r)
     605             : 
     606          42 :       gapw = dft_control%qs_control%gapw
     607          42 :       nkind = SIZE(qs_kind_set, 1)
     608          42 :       nspins = dft_control%nspins
     609             : 
     610         168 :       DO idir1 = 1, 3
     611         126 :          temp_soo_soft = 0.0_dp
     612         378 :          DO ispin = 1, nspins
     613         252 :             CALL qs_rho_get(bind_set(idir1, iB)%rho, rho_r=brho1_r)
     614             :             temp_soo_soft = temp_soo_soft + (-1.0_dp)**(1 + ispin)* &
     615         378 :                             pw_integral_ab(brho1_r(1), rho_r(ispin))
     616             :          END DO
     617         126 :          temp_soo_soft = 1.0_dp*epr_env%g_soo_factor*temp_soo_soft
     618         126 :          IF (output_unit > 0) THEN
     619             :             WRITE (UNIT=output_unit, FMT="(T2,A,T18,i1,i1,T56,E24.16)") &
     620          63 :                "epr|SOO:soft", iB, idir1, temp_soo_soft
     621             :          END IF
     622         168 :          g_soo(iB, idir1) = temp_soo_soft
     623             :       END DO
     624             : 
     625         168 :       DO idir1 = 1, 3
     626             :          temp_soo_soft = 1.0_dp*epr_env%g_soo_chicorr_factor*chi_tensor(idir1, iB, 2)* &
     627         126 :                          (REAL(dft_control%multiplicity, KIND=dp) - 1.0_dp)
     628         126 :          IF (output_unit > 0) THEN
     629             :             WRITE (UNIT=output_unit, FMT="(T2,A,T18,i1,i1,T56,E24.16)") &
     630          63 :                "epr|SOO:soft_g0", iB, idir1, temp_soo_soft
     631             :          END IF
     632         168 :          g_soo(iB, idir1) = g_soo(iB, idir1) + temp_soo_soft
     633             :       END DO
     634             : 
     635          42 :       IF (gapw .AND. soo_rho_hard) THEN
     636             : 
     637          12 :          CALL pw_env_get(pw_env, auxbas_pw_pool=auxbas_pw_pool)
     638         156 :          ALLOCATE (bind_pw_spline(3, 3))
     639             : 
     640             :          interp_section => section_vals_get_subs_vals(lr_section, &
     641          12 :                                                       "EPR%INTERPOLATOR")
     642             :          CALL section_vals_val_get(interp_section, "aint_precond", &
     643          12 :                                    i_val=aint_precond)
     644          12 :          CALL section_vals_val_get(interp_section, "precond", i_val=precond_kind)
     645          12 :          CALL section_vals_val_get(interp_section, "max_iter", i_val=max_iter)
     646          12 :          CALL section_vals_val_get(interp_section, "eps_r", r_val=eps_r)
     647          12 :          CALL section_vals_val_get(interp_section, "eps_x", r_val=eps_x)
     648             : 
     649          48 :          DO idir1 = 1, 3
     650          36 :             CALL auxbas_pw_pool%create_pw(bind_pw_spline(idir1, iB))
     651             :             ! calculate spline coefficients
     652             :             CALL pw_spline_precond_create(precond, precond_kind=aint_precond, &
     653          36 :                                           pool=auxbas_pw_pool, pbc=.TRUE., transpose=.FALSE.)
     654          36 :             CALL qs_rho_get(bind_set(idir1, iB)%rho, rho_r=brho1_r)
     655             :             CALL pw_spline_do_precond(precond, brho1_r(1), &
     656          36 :                                       bind_pw_spline(idir1, iB))
     657          36 :             CALL pw_spline_precond_set_kind(precond, precond_kind)
     658             :             success = find_coeffs(values=brho1_r(1), &
     659             :                                   coeffs=bind_pw_spline(idir1, iB), linOp=spl3_pbc, &
     660             :                                   preconditioner=precond, pool=auxbas_pw_pool, &
     661          36 :                                   eps_r=eps_r, eps_x=eps_x, max_iter=max_iter)
     662          36 :             CPASSERT(success)
     663          48 :             CALL pw_spline_precond_release(precond)
     664             :          END DO ! idir1
     665             : 
     666          12 :          temp_soo_gapw = 0.0_dp
     667             : 
     668          36 :          DO ikind = 1, nkind
     669          24 :             NULLIFY (atom_list, grid_atom, harmonics)
     670          24 :             CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=atom_list, natom=natom)
     671             :             CALL get_qs_kind(qs_kind_set(ikind), &
     672             :                              hard_radius=hard_radius, &
     673             :                              grid_atom=grid_atom, &
     674             :                              harmonics=harmonics, &
     675          24 :                              paw_atom=paw_atom)
     676             : 
     677          24 :             IF (.NOT. paw_atom) CYCLE
     678             : 
     679             :             ! Distribute the atoms of this kind
     680             : 
     681          24 :             bo = get_limit(natom, para_env%num_pe, para_env%mepos)
     682             : 
     683          96 :             DO iat = 1, natom !bo(1),bo(2)! this partitioning blocks the interpolation
     684             :                !                         ! routines (i.e. waiting for parallel sum)
     685          36 :                iatom = atom_list(iat)
     686          36 :                rho_atom => rho_atom_set(iatom)
     687          36 :                NULLIFY (rho_rad_h, rho_rad_s)
     688             :                CALL get_rho_atom(rho_atom=rho_atom, rho_rad_h=rho_rad_h, &
     689          36 :                                  rho_rad_s=rho_rad_s)
     690         168 :                DO idir1 = 1, 3
     691         360 :                   DO ispin = 1, nspins
     692       11124 :                      DO ir = 1, grid_atom%nr
     693             : 
     694       10800 :                         IF (grid_atom%rad(ir) >= hard_radius) CYCLE
     695             : 
     696      308664 :                         DO ia = 1, grid_atom%ng_sphere
     697             : 
     698     1209600 :                            ra = particle_set(iatom)%r
     699     1209600 :                            ra(:) = ra(:) + grid_atom%rad(ir)*harmonics%a(:, ia)
     700             :                            bind_ra_idir1 = Eval_Interp_Spl3_pbc(ra, &
     701      302400 :                                                                 bind_pw_spline(idir1, iB))
     702             : 
     703      302400 :                            IF (iat .LT. bo(1) .OR. iat .GT. bo(2)) CYCLE !quick and dirty:
     704             :                            !                                    !here take care of the partition
     705             : 
     706      151200 :                            rho_spin = 0.0_dp
     707             : 
     708     2721600 :                            DO iso = 1, harmonics%max_iso_not0
     709             :                               rho_spin = rho_spin + &
     710             :                                          (rho_rad_h(ispin)%r_coef(ir, iso) - &
     711             :                                           rho_rad_s(ispin)%r_coef(ir, iso))* &
     712     2721600 :                                          harmonics%slm(ia, iso)
     713             :                            END DO
     714             : 
     715             :                            temp_soo_gapw(iB, idir1) = temp_soo_gapw(iB, idir1) + &
     716             :                                                       (-1.0_dp)**(1 + ispin)*( &
     717             :                                                       bind_ra_idir1*rho_spin &
     718      313200 :                                                       )*grid_atom%wr(ir)*grid_atom%wa(ia)
     719             : 
     720             :                         END DO !ia
     721             :                      END DO !ir
     722             :                   END DO ! ispin
     723             :                END DO !idir1
     724             :             END DO !iat
     725             :          END DO !ikind
     726             : 
     727          12 :          CALL para_env%sum(temp_soo_gapw)
     728         156 :          temp_soo_gapw(:, :) = 1.0_dp*epr_env%g_soo_factor*temp_soo_gapw(:, :)
     729             : 
     730          12 :          IF (output_unit > 0) THEN
     731          24 :             DO idir1 = 1, 3
     732             :                WRITE (UNIT=output_unit, FMT="(T2,A,T18,I1,I1,T56,E24.16)") &
     733          24 :                   "epr|SOO:gapw", iB, idir1, temp_soo_gapw(iB, idir1)
     734             :             END DO
     735             :          END IF
     736             : 
     737          48 :          g_soo(iB, :) = g_soo(iB, :) + temp_soo_gapw(iB, :)
     738             : 
     739          48 :          DO idir1 = 1, 3
     740          48 :             CALL auxbas_pw_pool%give_back_pw(bind_pw_spline(idir1, iB))
     741             :          END DO
     742          24 :          DEALLOCATE (bind_pw_spline)
     743             : 
     744             :       END IF ! gapw
     745             : 
     746         294 :       g_total(iB, :) = g_total(iB, :) + g_soo(iB, :)
     747             : 
     748             :       CALL cp_print_key_finished_output(output_unit, logger, lr_section, &
     749          42 :                                         "PRINT%PROGRAM_RUN_INFO")
     750             : 
     751         336 :    END SUBROUTINE epr_g_soo
     752             : 
     753             : ! **************************************************************************************************
     754             : !> \brief ...
     755             : !> \param epr_env ...
     756             : !> \param current_env ...
     757             : !> \param qs_env ...
     758             : !> \param iB ...
     759             : ! **************************************************************************************************
     760          42 :    SUBROUTINE epr_ind_magnetic_field(epr_env, current_env, qs_env, iB)
     761             : 
     762             :       TYPE(epr_env_type)                                 :: epr_env
     763             :       TYPE(current_env_type)                             :: current_env
     764             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     765             :       INTEGER, INTENT(IN)                                :: iB
     766             : 
     767             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'epr_ind_magnetic_field'
     768             : 
     769             :       INTEGER                                            :: handle, idir, idir2, idir3, iiB, iiiB, &
     770             :                                                             ispin, natom, nspins
     771             :       LOGICAL                                            :: gapw
     772             :       REAL(dp)                                           :: scale_fac
     773             :       TYPE(cell_type), POINTER                           :: cell
     774             :       TYPE(dft_control_type), POINTER                    :: dft_control
     775          42 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     776             :       TYPE(pw_c1d_gs_type)                               :: pw_gspace_work
     777          42 :       TYPE(pw_c1d_gs_type), ALLOCATABLE, DIMENSION(:, :) :: shift_pw_gspace
     778          42 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: jrho1_g
     779             :       TYPE(pw_env_type), POINTER                         :: pw_env
     780          42 :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: pw_pools
     781             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     782             :       TYPE(pw_r3d_rs_type)                               :: shift_pw_rspace
     783          42 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: epr_rho_r
     784             :       TYPE(realspace_grid_desc_type), POINTER            :: auxbas_rs_desc
     785             : 
     786          42 :       CALL timeset(routineN, handle)
     787             : 
     788          42 :       NULLIFY (cell, dft_control, pw_env, auxbas_rs_desc, auxbas_pw_pool, &
     789          42 :                pw_pools, particle_set, jrho1_g, epr_rho_r)
     790             : 
     791             :       CALL get_qs_env(qs_env=qs_env, cell=cell, dft_control=dft_control, &
     792          42 :                       particle_set=particle_set)
     793             : 
     794          42 :       gapw = dft_control%qs_control%gapw
     795          42 :       natom = SIZE(particle_set, 1)
     796          42 :       nspins = dft_control%nspins
     797             : 
     798          42 :       CALL get_epr_env(epr_env=epr_env)
     799             : 
     800          42 :       CALL get_current_env(current_env=current_env)
     801             : 
     802          42 :       CALL get_qs_env(qs_env=qs_env, pw_env=pw_env)
     803             :       CALL pw_env_get(pw_env, auxbas_rs_desc=auxbas_rs_desc, &
     804          42 :                       auxbas_pw_pool=auxbas_pw_pool, pw_pools=pw_pools)
     805             :       !
     806             :       ! Initialize
     807             :       ! Allocate grids for the calculation of jrho and the shift
     808         462 :       ALLOCATE (shift_pw_gspace(3, nspins))
     809         126 :       DO ispin = 1, nspins
     810         378 :          DO idir = 1, 3
     811         252 :             CALL auxbas_pw_pool%create_pw(shift_pw_gspace(idir, ispin))
     812         336 :             CALL pw_zero(shift_pw_gspace(idir, ispin))
     813             :          END DO
     814             :       END DO
     815          42 :       CALL auxbas_pw_pool%create_pw(shift_pw_rspace)
     816          42 :       CALL pw_zero(shift_pw_rspace)
     817          42 :       CALL auxbas_pw_pool%create_pw(pw_gspace_work)
     818          42 :       CALL pw_zero(pw_gspace_work)
     819             :       !
     820          42 :       CALL set_vecp(iB, iiB, iiiB)
     821             :       !
     822         126 :       DO ispin = 1, nspins
     823             :          !
     824         336 :          DO idir3 = 1, 3
     825             :             ! set to zero for the calculation of the shift
     826         336 :             CALL pw_zero(shift_pw_gspace(idir3, ispin))
     827             :          END DO
     828         378 :          DO idir = 1, 3
     829         252 :             CALL qs_rho_get(current_env%jrho1_set(idir)%rho, rho_g=jrho1_g)
     830             :             ! Field gradient
     831             :             ! loop over the Gvec  components: x,y,z
     832        1092 :             DO idir2 = 1, 3
     833        1008 :                IF (idir /= idir2) THEN
     834             :                   ! in reciprocal space multiply (G_idir2(i)/G(i)^2)J_(idir)(G(i))
     835             :                   CALL mult_G_ov_G2_grid(auxbas_pw_pool, jrho1_g(ispin), &
     836         504 :                                          pw_gspace_work, idir2, 0.0_dp)
     837             :                   !
     838             :                   ! scale and add to the correct component of the shift column
     839         504 :                   CALL set_vecp_rev(idir, idir2, idir3)
     840         504 :                   scale_fac = fac_vecp(idir3, idir2, idir)
     841         504 :                   CALL pw_scale(pw_gspace_work, scale_fac)
     842         504 :                   CALL pw_axpy(pw_gspace_work, shift_pw_gspace(idir3, ispin))
     843             :                END IF
     844             :             END DO
     845             :             !
     846             :          END DO ! idir
     847             :       END DO ! ispin
     848             : 
     849             :       ! Store the total soft induced magnetic field (corrected for sic)
     850          42 :       IF (dft_control%nspins == 2) THEN
     851         168 :          DO idir = 1, 3
     852         126 :             CALL qs_rho_get(epr_env%bind_set(idir, iB)%rho, rho_r=epr_rho_r)
     853         168 :             CALL pw_transfer(shift_pw_gspace(idir, 2), epr_rho_r(1))
     854             :          END DO
     855             :       END IF
     856             :       !
     857             :       ! Dellocate grids for the calculation of jrho and the shift
     858          42 :       CALL auxbas_pw_pool%give_back_pw(pw_gspace_work)
     859         126 :       DO ispin = 1, dft_control%nspins
     860         378 :          DO idir = 1, 3
     861         336 :             CALL auxbas_pw_pool%give_back_pw(shift_pw_gspace(idir, ispin))
     862             :          END DO
     863             :       END DO
     864          42 :       DEALLOCATE (shift_pw_gspace)
     865          42 :       CALL auxbas_pw_pool%give_back_pw(shift_pw_rspace)
     866             :       !
     867             :       ! Finalize
     868          42 :       CALL timestop(handle)
     869             :       !
     870          84 :    END SUBROUTINE epr_ind_magnetic_field
     871             : 
     872             : END MODULE qs_linres_epr_ownutils
     873             : 

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