LCOV - code coverage report
Current view: top level - src - hfx_energy_potential.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:262480d) Lines: 358 404 88.6 %
Date: 2024-11-22 07:00:40 Functions: 5 6 83.3 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Routines to calculate HFX energy and potential
      10             : !> \par History
      11             : !>      11.2006 created [Manuel Guidon]
      12             : !> \author Manuel Guidon
      13             : ! **************************************************************************************************
      14             : MODULE hfx_energy_potential
      15             :    USE admm_types, ONLY: get_admm_env
      16             :    USE atomic_kind_types, ONLY: atomic_kind_type, &
      17             :                                 get_atomic_kind_set
      18             :    USE bibliography, ONLY: cite_reference, &
      19             :                            guidon2008, &
      20             :                            guidon2009
      21             :    USE cell_types, ONLY: cell_type, &
      22             :                          pbc
      23             :    USE cp_control_types, ONLY: dft_control_type
      24             :    USE cp_files, ONLY: close_file, &
      25             :                        open_file
      26             :    USE cp_log_handling, ONLY: cp_get_default_logger, &
      27             :                               cp_logger_type
      28             :    USE cp_output_handling, ONLY: cp_p_file, &
      29             :                                  cp_print_key_finished_output, &
      30             :                                  cp_print_key_should_output, &
      31             :                                  cp_print_key_unit_nr
      32             :    USE message_passing, ONLY: mp_para_env_type
      33             :    USE cp_dbcsr_api, ONLY: dbcsr_copy, &
      34             :                            dbcsr_dot, &
      35             :                            dbcsr_get_matrix_type, &
      36             :                            dbcsr_p_type, &
      37             :                            dbcsr_type_antisymmetric
      38             :    USE gamma, ONLY: init_md_ftable
      39             :    USE hfx_communication, ONLY: distribute_ks_matrix, &
      40             :                                 get_atomic_block_maps, &
      41             :                                 get_full_density
      42             :    USE hfx_compression_methods, ONLY: hfx_add_mult_cache_elements, &
      43             :                                       hfx_add_single_cache_element, &
      44             :                                       hfx_decompress_first_cache, &
      45             :                                       hfx_flush_last_cache, &
      46             :                                       hfx_get_mult_cache_elements, &
      47             :                                       hfx_get_single_cache_element, &
      48             :                                       hfx_reset_cache_and_container
      49             :    USE hfx_contract_block, ONLY: contract_block
      50             :    USE hfx_libint_interface, ONLY: evaluate_eri
      51             :    USE hfx_load_balance_methods, ONLY: collect_load_balance_info, &
      52             :                                        hfx_load_balance, &
      53             :                                        hfx_update_load_balance
      54             :    USE hfx_pair_list_methods, ONLY: build_atomic_pair_list, &
      55             :                                     build_pair_list, &
      56             :                                     build_pair_list_pgf, &
      57             :                                     build_pgf_product_list, &
      58             :                                     pgf_product_list_size
      59             :    USE hfx_screening_methods, ONLY: calc_pair_dist_radii, &
      60             :                                     calc_screening_functions, &
      61             :                                     update_pmax_mat
      62             :    USE hfx_types, ONLY: &
      63             :       alloc_containers, dealloc_containers, hfx_basis_info_type, hfx_basis_type, hfx_cache_type, &
      64             :       hfx_cell_type, hfx_container_type, hfx_create_neighbor_cells, hfx_distribution, &
      65             :       hfx_general_type, hfx_init_container, hfx_load_balance_type, hfx_memory_type, hfx_p_kind, &
      66             :       hfx_pgf_list, hfx_pgf_product_list, hfx_potential_type, hfx_reset_memory_usage_counter, &
      67             :       hfx_screen_coeff_type, hfx_screening_type, hfx_task_list_type, hfx_type, init_t_c_g0_lmax, &
      68             :       log_zero, pair_list_type, pair_set_list_type
      69             :    USE input_constants, ONLY: do_potential_mix_cl_trunc, &
      70             :                               do_potential_truncated, &
      71             :                               hfx_do_eval_energy
      72             :    USE input_section_types, ONLY: section_vals_type
      73             :    USE kinds, ONLY: default_string_length, &
      74             :                     dp, &
      75             :                     int_8
      76             :    USE kpoint_types, ONLY: get_kpoint_info, &
      77             :                            kpoint_type
      78             :    USE libint_wrapper, ONLY: cp_libint_t
      79             :    USE machine, ONLY: m_flush, &
      80             :                       m_memory, &
      81             :                       m_walltime
      82             :    USE mathconstants, ONLY: fac
      83             :    USE orbital_pointers, ONLY: nco, &
      84             :                                ncoset, &
      85             :                                nso
      86             :    USE particle_types, ONLY: particle_type
      87             :    USE qs_environment_types, ONLY: get_qs_env, &
      88             :                                    qs_environment_type
      89             :    USE qs_ks_types, ONLY: get_ks_env, &
      90             :                           qs_ks_env_type
      91             :    USE t_c_g0, ONLY: init
      92             :    USE util, ONLY: sort
      93             : 
      94             : !$ USE OMP_LIB, ONLY: omp_get_max_threads, omp_get_thread_num, omp_get_num_threads
      95             : 
      96             : #include "./base/base_uses.f90"
      97             : 
      98             :    IMPLICIT NONE
      99             :    PRIVATE
     100             : 
     101             :    PUBLIC ::  integrate_four_center, coulomb4
     102             : 
     103             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'hfx_energy_potential'
     104             : 
     105             : !***
     106             : 
     107             : CONTAINS
     108             : 
     109             : ! **************************************************************************************************
     110             : !> \brief computes four center integrals for a full basis set and updates the
     111             : !>      Kohn-Sham-Matrix and energy. Uses all 8 eri symmetries
     112             : !> \param qs_env ...
     113             : !> \param x_data ...
     114             : !> \param ks_matrix ...
     115             : !> \param ehfx energy calculated with the updated HFX matrix
     116             : !> \param rho_ao density matrix in ao basis
     117             : !> \param hfx_section input_section HFX
     118             : !> \param para_env ...
     119             : !> \param geometry_did_change flag that indicates we have to recalc integrals
     120             : !> \param irep Index for the HFX replica
     121             : !> \param distribute_fock_matrix Flag that indicates whether to communicate the
     122             : !>        new fock matrix or not
     123             : !> \param ispin ...
     124             : !> \par History
     125             : !>      06.2007 created [Manuel Guidon]
     126             : !>      08.2007 optimized load balance [Manuel Guidon]
     127             : !>      09.2007 new parallelization [Manuel Guidon]
     128             : !>      02.2009 completely rewritten screening part [Manuel Guidon]
     129             : !>      12.2017 major bug fix. removed wrong cycle that was caussing segfault.
     130             : !>              see https://groups.google.com/forum/#!topic/cp2k/pc6B14XOALY
     131             : !>              [Tobias Binninger + Valery Weber]
     132             : !> \author Manuel Guidon
     133             : ! **************************************************************************************************
     134       34235 :    SUBROUTINE integrate_four_center(qs_env, x_data, ks_matrix, ehfx, rho_ao, hfx_section, para_env, &
     135             :                                     geometry_did_change, irep, distribute_fock_matrix, &
     136             :                                     ispin)
     137             : 
     138             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     139             :       TYPE(hfx_type), DIMENSION(:, :), POINTER           :: x_data
     140             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: ks_matrix
     141             :       REAL(KIND=dp), INTENT(OUT)                         :: ehfx
     142             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: rho_ao
     143             :       TYPE(section_vals_type), POINTER                   :: hfx_section
     144             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     145             :       LOGICAL                                            :: geometry_did_change
     146             :       INTEGER                                            :: irep
     147             :       LOGICAL, INTENT(IN)                                :: distribute_fock_matrix
     148             :       INTEGER, INTENT(IN)                                :: ispin
     149             : 
     150             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'integrate_four_center'
     151             : 
     152             :       CHARACTER(len=default_string_length)               :: eps_scaling_str, eps_schwarz_min_str
     153             :       INTEGER :: act_atomic_block_offset, act_set_offset, atomic_offset_ac, atomic_offset_ad, &
     154             :                  atomic_offset_bc, atomic_offset_bd, bin, bits_max_val, buffer_left, buffer_size, &
     155             :                  buffer_start, cache_size, current_counter, handle, handle_bin, handle_dist_ks, &
     156             :                  handle_getP, handle_load, handle_main, i, i_list_ij, i_list_kl, i_set_list_ij, &
     157             :                  i_set_list_ij_start, i_set_list_ij_stop, i_set_list_kl, i_set_list_kl_start, &
     158             :                  i_set_list_kl_stop, i_thread, iatom, iatom_block, iatom_end, iatom_start, ikind, img, &
     159             :                  iset, iw, j, jatom, jatom_block, jatom_end, jatom_start, jkind, jset, katom, katom_block, &
     160             :                  katom_end
     161             :       INTEGER :: katom_start, kind_kind_idx, kkind, kset, l_max, latom, latom_block, latom_end, &
     162             :                  latom_start, lkind, lset, ma, max_am, max_pgf, max_set, mb, my_bin_id, my_bin_size, &
     163             :                  my_thread_id, n_threads, natom, nbits, ncob, ncos_max, nints, nkimages, nkind, &
     164             :                  nneighbors, nseta, nsetb, nsgf_max, nspins, pa, sgfb, shm_task_counter, shm_total_bins, &
     165             :                  sphi_a_u1, sphi_a_u2, sphi_a_u3, sphi_b_u1, sphi_b_u2, sphi_b_u3, sphi_c_u1, sphi_c_u2, &
     166             :                  sphi_c_u3, sphi_d_u1, sphi_d_u2, sphi_d_u3, swap_id, tmp_i4, unit_id
     167             :       INTEGER(int_8) :: atom_block, counter, estimate_to_store_int, max_val_memory, &
     168             :                         mb_size_buffers, mb_size_f, mb_size_p, mem_compression_counter, &
     169             :                         mem_compression_counter_disk, mem_eris, mem_eris_disk, mem_max_val, memsize_after, &
     170             :                         memsize_before, my_current_counter, my_istart, n_processes, nblocks, ncpu, neris_disk, &
     171             :                         neris_incore, neris_onthefly, neris_tmp, neris_total, nprim_ints, &
     172             :                         shm_mem_compression_counter, shm_neris_disk, shm_neris_incore, shm_neris_onthefly, &
     173             :                         shm_neris_total, shm_nprim_ints, shm_stor_count_int_disk, shm_stor_count_max_val, &
     174             :                         shm_storage_counter_integrals, stor_count_int_disk
     175             :       INTEGER(int_8) :: stor_count_max_val, storage_counter_integrals, subtr_size_mb, tmp_block, &
     176             :                         tmp_i8(8)
     177       34235 :       INTEGER(int_8), ALLOCATABLE, DIMENSION(:)          :: tmp_task_list_cost
     178       68470 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of, last_sgf_global, nimages, &
     179       34235 :                                                             tmp_index
     180       34235 :       INTEGER, DIMENSION(:), POINTER :: la_max, la_min, lb_max, lb_min, lc_max, lc_min, ld_max, &
     181       68470 :                                         ld_min, npgfa, npgfb, npgfc, npgfd, nsgfa, nsgfb, nsgfc, nsgfd, shm_block_offset
     182       68470 :       INTEGER, DIMENSION(:, :), POINTER :: first_sgfb, nsgfl_a, nsgfl_b, nsgfl_c, nsgfl_d, &
     183       34235 :                                            offset_ac_set, offset_ad_set, offset_bc_set, offset_bd_set, shm_atomic_block_offset
     184             :       INTEGER, DIMENSION(:, :), POINTER, SAVE            :: shm_is_assoc_atomic_block
     185       34235 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     186       34235 :       INTEGER, DIMENSION(:, :, :, :), POINTER            :: shm_set_offset
     187             :       INTEGER, SAVE                                      :: shm_number_of_p_entries
     188             :       LOGICAL :: bins_left, buffer_overflow, do_disk_storage, do_dynamic_load_balancing, do_it, &
     189             :                  do_kpoints, do_p_screening, do_periodic, do_print_load_balance_info, is_anti_symmetric, &
     190             :                  ks_fully_occ, my_geo_change, treat_lsd_in_core, use_disk_storage
     191       34235 :       LOGICAL, DIMENSION(:, :), POINTER                  :: shm_atomic_pair_list
     192             :       REAL(dp) :: afac, bintime_start, bintime_stop, cartesian_estimate, compression_factor, &
     193             :                   compression_factor_disk, ene_x_aa, ene_x_aa_diag, ene_x_bb, ene_x_bb_diag, eps_schwarz, &
     194             :                   eps_storage, etmp, fac, hf_fraction, ln_10, log10_eps_schwarz, log10_pmax, &
     195             :                   max_contraction_val, max_val1, max_val2, max_val2_set, pmax_atom, pmax_blocks, &
     196             :                   pmax_entry, ra(3), rab2, rb(3), rc(3), rcd2, rd(3), screen_kind_ij, screen_kind_kl, &
     197             :                   spherical_estimate, symm_fac
     198       34235 :       REAL(dp), ALLOCATABLE, DIMENSION(:) :: ee_buffer1, ee_buffer2, ee_primitives_tmp, ee_work, &
     199       68470 :                                              ee_work2, kac_buf, kad_buf, kbc_buf, kbd_buf, pac_buf, pad_buf, pbc_buf, pbd_buf, &
     200       34235 :                                              primitive_integrals
     201       34235 :       REAL(dp), DIMENSION(:), POINTER                    :: p_work
     202       34235 :       REAL(dp), DIMENSION(:, :), POINTER :: full_density_alpha, full_density_beta, full_ks_alpha, &
     203       68470 :                                             full_ks_beta, max_contraction, ptr_p_1, ptr_p_2, ptr_p_3, ptr_p_4, shm_pmax_atom, &
     204       34235 :                                             shm_pmax_block, sphi_b, zeta, zetb, zetc, zetd
     205       34235 :       REAL(dp), DIMENSION(:, :, :), POINTER              :: sphi_a_ext_set, sphi_b_ext_set, &
     206       34235 :                                                             sphi_c_ext_set, sphi_d_ext_set
     207       34235 :       REAL(dp), DIMENSION(:, :, :, :), POINTER           :: sphi_a_ext, sphi_b_ext, sphi_c_ext, &
     208       34235 :                                                             sphi_d_ext
     209             :       REAL(KIND=dp)                                      :: coeffs_kind_max0
     210       34235 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     211             :       TYPE(cell_type), POINTER                           :: cell
     212             :       TYPE(cp_libint_t)                                  :: private_lib
     213             :       TYPE(cp_logger_type), POINTER                      :: logger
     214       34235 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_ks_aux_fit_hfx
     215             :       TYPE(dft_control_type), POINTER                    :: dft_control
     216             :       TYPE(hfx_basis_info_type), POINTER                 :: basis_info
     217       34235 :       TYPE(hfx_basis_type), DIMENSION(:), POINTER        :: basis_parameter
     218       34235 :       TYPE(hfx_cache_type), DIMENSION(:), POINTER        :: integral_caches, integral_caches_disk
     219             :       TYPE(hfx_cache_type), POINTER                      :: maxval_cache, maxval_cache_disk
     220       34235 :       TYPE(hfx_container_type), DIMENSION(:), POINTER    :: integral_containers, &
     221       34235 :                                                             integral_containers_disk
     222             :       TYPE(hfx_container_type), POINTER                  :: maxval_container, maxval_container_disk
     223             :       TYPE(hfx_distribution), POINTER                    :: distribution_energy
     224             :       TYPE(hfx_general_type)                             :: general_parameter
     225             :       TYPE(hfx_load_balance_type), POINTER               :: load_balance_parameter
     226             :       TYPE(hfx_memory_type), POINTER                     :: memory_parameter
     227       34235 :       TYPE(hfx_p_kind), DIMENSION(:), POINTER            :: shm_initial_p
     228       34235 :       TYPE(hfx_pgf_list), ALLOCATABLE, DIMENSION(:)      :: pgf_list_ij, pgf_list_kl
     229             :       TYPE(hfx_pgf_product_list), ALLOCATABLE, &
     230       34235 :          DIMENSION(:)                                    :: pgf_product_list
     231             :       TYPE(hfx_potential_type)                           :: potential_parameter
     232             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
     233       34235 :          POINTER                                         :: screen_coeffs_kind, tmp_R_1, tmp_R_2, &
     234       34235 :                                                             tmp_screen_pgf1, tmp_screen_pgf2
     235             :       TYPE(hfx_screen_coeff_type), &
     236       34235 :          DIMENSION(:, :, :, :), POINTER                  :: screen_coeffs_set
     237             :       TYPE(hfx_screen_coeff_type), &
     238       34235 :          DIMENSION(:, :, :, :, :, :), POINTER            :: radii_pgf, screen_coeffs_pgf
     239             :       TYPE(hfx_screening_type)                           :: screening_parameter
     240       34235 :       TYPE(hfx_task_list_type), DIMENSION(:), POINTER    :: shm_task_list, tmp_task_list
     241             :       TYPE(hfx_type), POINTER                            :: actual_x_data, shm_master_x_data
     242             :       TYPE(kpoint_type), POINTER                         :: kpoints
     243             :       TYPE(pair_list_type)                               :: list_ij, list_kl
     244             :       TYPE(pair_set_list_type), ALLOCATABLE, &
     245       34235 :          DIMENSION(:)                                    :: set_list_ij, set_list_kl
     246       34235 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     247             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     248             : 
     249       34235 :       NULLIFY (dft_control, matrix_ks_aux_fit_hfx)
     250             : 
     251       34235 :       CALL timeset(routineN, handle)
     252             : 
     253       34235 :       CALL cite_reference(Guidon2008)
     254       34235 :       CALL cite_reference(Guidon2009)
     255             : 
     256       34235 :       ehfx = 0.0_dp
     257             : 
     258             :       ! ** This is not very clean, but effective. ispin can only be 2 if we do the beta spin part in core
     259       34235 :       my_geo_change = geometry_did_change
     260       34235 :       IF (ispin == 2) my_geo_change = .FALSE.
     261             : 
     262       34235 :       logger => cp_get_default_logger()
     263             : 
     264       34235 :       is_anti_symmetric = dbcsr_get_matrix_type(rho_ao(1, 1)%matrix) .EQ. dbcsr_type_antisymmetric
     265             : 
     266       34235 :       IF (my_geo_change) THEN
     267        2098 :          CALL m_memory(memsize_before)
     268        2098 :          CALL para_env%max(memsize_before)
     269             :          iw = cp_print_key_unit_nr(logger, hfx_section, "HF_INFO", &
     270        2098 :                                    extension=".scfLog")
     271        2098 :          IF (iw > 0) THEN
     272             :             WRITE (UNIT=iw, FMT="(/,(T3,A,T60,I21))") &
     273         388 :                "HFX_MEM_INFO| Est. max. program size before HFX [MiB]:", memsize_before/(1024*1024)
     274         388 :             CALL m_flush(iw)
     275             :          END IF
     276             :          CALL cp_print_key_finished_output(iw, logger, hfx_section, &
     277        2098 :                                            "HF_INFO")
     278             :       END IF
     279             : 
     280       34235 :       CALL get_qs_env(qs_env=qs_env, atomic_kind_set=atomic_kind_set, cell=cell)
     281             : 
     282       34235 :       NULLIFY (cell_to_index)
     283       34235 :       CALL get_qs_env(qs_env=qs_env, do_kpoints=do_kpoints)
     284       34235 :       IF (do_kpoints) THEN
     285           0 :          CALL get_qs_env(qs_env=qs_env, ks_env=ks_env)
     286           0 :          CALL get_ks_env(ks_env=ks_env, kpoints=kpoints)
     287           0 :          CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
     288             :       END IF
     289             : 
     290             :       !! Calculate l_max used in fgamma , because init_md_ftable is definitely not thread safe
     291       34235 :       nkind = SIZE(atomic_kind_set, 1)
     292       34235 :       l_max = 0
     293       97023 :       DO ikind = 1, nkind
     294      287887 :          l_max = MAX(l_max, MAXVAL(x_data(1, 1)%basis_parameter(ikind)%lmax))
     295             :       END DO
     296       34235 :       l_max = 4*l_max
     297       34235 :       CALL init_md_ftable(l_max)
     298             : 
     299       34235 :       IF (x_data(1, 1)%potential_parameter%potential_type == do_potential_truncated .OR. &
     300             :           x_data(1, 1)%potential_parameter%potential_type == do_potential_mix_cl_trunc) THEN
     301        9162 :          IF (l_max > init_t_c_g0_lmax) THEN
     302         298 :             IF (para_env%is_source()) THEN
     303         149 :                CALL open_file(unit_number=unit_id, file_name=x_data(1, 1)%potential_parameter%filename)
     304             :             END IF
     305         298 :             CALL init(l_max, unit_id, para_env%mepos, para_env)
     306         298 :             IF (para_env%is_source()) THEN
     307         149 :                CALL close_file(unit_id)
     308             :             END IF
     309         298 :             init_t_c_g0_lmax = l_max
     310             :          END IF
     311             :       END IF
     312             : 
     313       34235 :       n_threads = 1
     314       34235 : !$    n_threads = omp_get_max_threads()
     315             : 
     316       34235 :       shm_neris_total = 0
     317       34235 :       shm_nprim_ints = 0
     318       34235 :       shm_neris_onthefly = 0
     319       34235 :       shm_storage_counter_integrals = 0
     320       34235 :       shm_stor_count_int_disk = 0
     321       34235 :       shm_neris_incore = 0
     322       34235 :       shm_neris_disk = 0
     323       34235 :       shm_stor_count_max_val = 0
     324             : 
     325             : !$OMP PARALLEL DEFAULT(OMP_DEFAULT_NONE_WITH_OOP) &
     326             : !$OMP SHARED(qs_env,&
     327             : !$OMP                                  x_data,&
     328             : !$OMP                                  ks_matrix,&
     329             : !$OMP                                  ehfx,&
     330             : !$OMP                                  rho_ao,&
     331             : !$OMP                                  matrix_ks_aux_fit_hfx,&
     332             : !$OMP                                  hfx_section,&
     333             : !$OMP                                  para_env,&
     334             : !$OMP                                  my_geo_change,&
     335             : !$OMP                                  irep,&
     336             : !$OMP                                  distribute_fock_matrix,&
     337             : !$OMP                                  cell_to_index,&
     338             : !$OMP                                  ncoset,&
     339             : !$OMP                                  nso,&
     340             : !$OMP                                  nco,&
     341             : !$OMP                                  full_ks_alpha,&
     342             : !$OMP                                  full_ks_beta,&
     343             : !$OMP                                  n_threads,&
     344             : !$OMP                                  full_density_alpha,&
     345             : !$OMP                                  full_density_beta,&
     346             : !$OMP                                  shm_initial_p,&
     347             : !$OMP                                  shm_is_assoc_atomic_block,&
     348             : !$OMP                                  shm_number_of_p_entries,&
     349             : !$OMP                                  shm_neris_total,&
     350             : !$OMP                                  shm_neris_onthefly,&
     351             : !$OMP                                  shm_storage_counter_integrals,&
     352             : !$OMP                                  shm_stor_count_int_disk,&
     353             : !$OMP                                  shm_neris_incore,&
     354             : !$OMP                                  shm_neris_disk,&
     355             : !$OMP                                  shm_nprim_ints,&
     356             : !$OMP                                  shm_stor_count_max_val,&
     357             : !$OMP                                  cell,&
     358             : !$OMP                                  screen_coeffs_set,&
     359             : !$OMP                                  screen_coeffs_kind,&
     360             : !$OMP                                  screen_coeffs_pgf,&
     361             : !$OMP                                  pgf_product_list_size,&
     362             : !$OMP                                  radii_pgf,&
     363             : !$OMP                                  nkind,&
     364             : !$OMP                                  ispin,&
     365             : !$OMP                                  is_anti_symmetric,&
     366             : !$OMP                                  shm_atomic_block_offset,&
     367             : !$OMP                                  shm_set_offset,&
     368             : !$OMP                                  shm_block_offset,&
     369             : !$OMP                                  shm_task_counter,&
     370             : !$OMP                                  shm_task_list,&
     371             : !$OMP                                  shm_total_bins,&
     372             : !$OMP                                  shm_master_x_data,&
     373             : !$OMP                                  shm_pmax_atom,&
     374             : !$OMP                                  shm_pmax_block,&
     375             : !$OMP                                  shm_atomic_pair_list,&
     376             : !$OMP                                  shm_mem_compression_counter,&
     377             : !$OMP                                  do_print_load_balance_info) &
     378             : !$OMP PRIVATE(ln_10,i_thread,actual_x_data,do_periodic,screening_parameter,potential_parameter,&
     379             : !$OMP         general_parameter,load_balance_parameter,memory_parameter,cache_size,bits_max_val,&
     380             : !$OMP         basis_parameter,basis_info,treat_lsd_in_core,ncpu,n_processes,neris_total,neris_incore,&
     381             : !$OMP         neris_disk,neris_onthefly,mem_eris,mem_eris_disk,mem_max_val,compression_factor,&
     382             : !$OMP         compression_factor_disk,nprim_ints,neris_tmp,max_val_memory,max_am,do_p_screening,&
     383             : !$OMP         max_set,particle_set,atomic_kind_set,natom,kind_of,ncos_max,nsgf_max,ikind,&
     384             : !$OMP         nseta,npgfa,la_max,nsgfa,primitive_integrals,pbd_buf,pbc_buf,pad_buf,pac_buf,kbd_buf,kbc_buf,&
     385             : !$OMP         kad_buf,kac_buf,ee_work,ee_work2,ee_buffer1,ee_buffer2,ee_primitives_tmp,nspins,max_contraction,&
     386             : !$OMP         max_pgf,jkind,lb_max,nsetb,npgfb,first_sgfb,sphi_b,nsgfb,ncob,sgfb,nneighbors,pgf_list_ij,pgf_list_kl,&
     387             : !$OMP         pgf_product_list,nimages,ks_fully_occ,subtr_size_mb,use_disk_storage,counter,do_disk_storage,&
     388             : !$OMP         maxval_container_disk,maxval_cache_disk,integral_containers_disk,integral_caches_disk,eps_schwarz,&
     389             : !$OMP         log10_eps_schwarz,eps_storage,hf_fraction,buffer_overflow,logger,private_lib,last_sgf_global,handle_getp,&
     390             : !$OMP         p_work,fac,handle_load,do_dynamic_load_balancing,my_bin_size,maxval_container,integral_containers,maxval_cache,&
     391             : !$OMP         integral_caches,tmp_task_list,tmp_task_list_cost,tmp_index,handle_main,coeffs_kind_max0,set_list_ij,&
     392             : !$OMP         set_list_kl,iatom_start,iatom_end,jatom_start,jatom_end,nblocks,bins_left,do_it,distribution_energy,&
     393             : !$OMP         my_thread_id,my_bin_id,handle_bin,bintime_start,my_istart,my_current_counter,latom_block,tmp_block,&
     394             : !$OMP         katom_block,katom_start,katom_end,latom_start,latom_end,pmax_blocks,list_ij,list_kl,i_set_list_ij_start,&
     395             : !$OMP         i_set_list_ij_stop,ra,rb,rab2,la_min,zeta,sphi_a_ext,nsgfl_a,sphi_a_u1,sphi_a_u2,sphi_a_u3,&
     396             : !$OMP         lb_min,zetb,sphi_b_ext,nsgfl_b,sphi_b_u1,sphi_b_u2,sphi_b_u3,katom,latom,i_set_list_kl_start,i_set_list_kl_stop,&
     397             : !$OMP         kkind,lkind,rc,rd,rcd2,pmax_atom,screen_kind_ij,screen_kind_kl,symm_fac,lc_max,lc_min,npgfc,zetc,nsgfc,sphi_c_ext,&
     398             : !$OMP         nsgfl_c,sphi_c_u1,sphi_c_u2,sphi_c_u3,ld_max,ld_min,npgfd,zetd,nsgfd,sphi_d_ext,nsgfl_d,sphi_d_u1,sphi_d_u2,&
     399             : !$OMP         sphi_d_u3,atomic_offset_bd,atomic_offset_bc,atomic_offset_ad,atomic_offset_ac,offset_bd_set,offset_bc_set,&
     400             : !$OMP         offset_ad_set,offset_ac_set,swap_id,kind_kind_idx,ptr_p_1,ptr_p_2,ptr_p_3,ptr_p_4,mem_compression_counter,&
     401             : !$OMP         mem_compression_counter_disk,max_val1,sphi_a_ext_set,sphi_b_ext_set,kset,lset,max_val2_set,max_val2,&
     402             : !$OMP         sphi_c_ext_set,sphi_d_ext_set,pmax_entry,log10_pmax,current_counter,nints,estimate_to_store_int,&
     403             : !$OMP         spherical_estimate,nbits,buffer_left,buffer_start,buffer_size,max_contraction_val,tmp_r_1,tmp_r_2,&
     404             : !$OMP         tmp_screen_pgf1,tmp_screen_pgf2,cartesian_estimate,bintime_stop,iw,memsize_after,storage_counter_integrals,&
     405             : !$OMP         stor_count_int_disk,stor_count_max_val,ene_x_aa,ene_x_bb,mb_size_p,mb_size_f,mb_size_buffers,afac,ene_x_aa_diag,&
     406             : !$OMP         ene_x_bb_diag,act_atomic_block_offset,act_set_offset,j,handle_dist_ks,tmp_i8,tmp_i4,dft_control,&
     407       34235 : !$OMP         etmp,nkimages,img,bin,eps_scaling_str,eps_schwarz_min_str)
     408             : 
     409             :       ln_10 = LOG(10.0_dp)
     410             :       i_thread = 0
     411             : !$    i_thread = omp_get_thread_num()
     412             : 
     413             :       actual_x_data => x_data(irep, i_thread + 1)
     414             : !$OMP MASTER
     415             :       shm_master_x_data => x_data(irep, 1)
     416             : !$OMP END MASTER
     417             : !$OMP BARRIER
     418             : 
     419             :       do_periodic = actual_x_data%periodic_parameter%do_periodic
     420             : 
     421             :       IF (do_periodic) THEN
     422             :          ! ** Rebuild neighbor lists in case the cell has changed (i.e. NPT MD)
     423             :          actual_x_data%periodic_parameter%number_of_shells = actual_x_data%periodic_parameter%mode
     424             :          CALL hfx_create_neighbor_cells(actual_x_data, actual_x_data%periodic_parameter%number_of_shells_from_input, &
     425             :                                         cell, i_thread)
     426             :       END IF
     427             : 
     428             :       screening_parameter = actual_x_data%screening_parameter
     429             :       potential_parameter = actual_x_data%potential_parameter
     430             : 
     431             :       general_parameter = actual_x_data%general_parameter
     432             :       load_balance_parameter => actual_x_data%load_balance_parameter
     433             :       memory_parameter => actual_x_data%memory_parameter
     434             : 
     435             :       cache_size = memory_parameter%cache_size
     436             :       bits_max_val = memory_parameter%bits_max_val
     437             : 
     438             :       basis_parameter => actual_x_data%basis_parameter
     439             :       basis_info => actual_x_data%basis_info
     440             : 
     441             :       treat_lsd_in_core = general_parameter%treat_lsd_in_core
     442             : 
     443             :       ncpu = para_env%num_pe
     444             :       n_processes = ncpu*n_threads
     445             : 
     446             :       !! initialize some counters
     447             :       neris_total = 0_int_8
     448             :       neris_incore = 0_int_8
     449             :       neris_disk = 0_int_8
     450             :       neris_onthefly = 0_int_8
     451             :       mem_eris = 0_int_8
     452             :       mem_eris_disk = 0_int_8
     453             :       mem_max_val = 0_int_8
     454             :       compression_factor = 0.0_dp
     455             :       compression_factor_disk = 0.0_dp
     456             :       nprim_ints = 0_int_8
     457             :       neris_tmp = 0_int_8
     458             :       max_val_memory = 1_int_8
     459             : 
     460             :       max_am = basis_info%max_am
     461             : 
     462             :       CALL get_qs_env(qs_env=qs_env, &
     463             :                       atomic_kind_set=atomic_kind_set, &
     464             :                       particle_set=particle_set, &
     465             :                       dft_control=dft_control)
     466             :       IF (dft_control%do_admm) CALL get_admm_env(qs_env%admm_env, matrix_ks_aux_fit_hfx=matrix_ks_aux_fit_hfx)
     467             : 
     468             :       do_p_screening = screening_parameter%do_initial_p_screening
     469             :       ! Special treatment for MP2 with initial density screening
     470             :       IF (do_p_screening) THEN
     471             :          IF (ASSOCIATED(qs_env%mp2_env)) THEN
     472             :             IF ((qs_env%mp2_env%ri_grad%free_hfx_buffer)) THEN
     473             :                do_p_screening = ((qs_env%mp2_env%p_screen) .AND. (qs_env%mp2_env%not_last_hfx))
     474             :             ELSE
     475             :                do_p_screening = .FALSE.
     476             :             END IF
     477             :          END IF
     478             :       END IF
     479             :       max_set = basis_info%max_set
     480             :       natom = SIZE(particle_set, 1)
     481             : 
     482             :       ! Number of image matrices in k-point calculations (nkimages==1 -> no kpoints)
     483             :       nkimages = dft_control%nimages
     484             :       CPASSERT(nkimages == 1)
     485             : 
     486             :       CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, kind_of=kind_of)
     487             : 
     488             :       !! precompute maximum nco and allocate scratch
     489             :       ncos_max = 0
     490             :       nsgf_max = 0
     491             :       DO iatom = 1, natom
     492             :          ikind = kind_of(iatom)
     493             :          nseta = basis_parameter(ikind)%nset
     494             :          npgfa => basis_parameter(ikind)%npgf
     495             :          la_max => basis_parameter(ikind)%lmax
     496             :          nsgfa => basis_parameter(ikind)%nsgf
     497             :          DO iset = 1, nseta
     498             :             ncos_max = MAX(ncos_max, ncoset(la_max(iset)))
     499             :             nsgf_max = MAX(nsgf_max, nsgfa(iset))
     500             :          END DO
     501             :       END DO
     502             :       !! Allocate the arrays for the integrals.
     503             :       ALLOCATE (primitive_integrals(nsgf_max**4))
     504             :       primitive_integrals = 0.0_dp
     505             : 
     506             :       ALLOCATE (pbd_buf(nsgf_max**2))
     507             :       ALLOCATE (pbc_buf(nsgf_max**2))
     508             :       ALLOCATE (pad_buf(nsgf_max**2))
     509             :       ALLOCATE (pac_buf(nsgf_max**2))
     510             :       ALLOCATE (kbd_buf(nsgf_max**2))
     511             :       ALLOCATE (kbc_buf(nsgf_max**2))
     512             :       ALLOCATE (kad_buf(nsgf_max**2))
     513             :       ALLOCATE (kac_buf(nsgf_max**2))
     514             :       ALLOCATE (ee_work(ncos_max**4))
     515             :       ALLOCATE (ee_work2(ncos_max**4))
     516             :       ALLOCATE (ee_buffer1(ncos_max**4))
     517             :       ALLOCATE (ee_buffer2(ncos_max**4))
     518             :       ALLOCATE (ee_primitives_tmp(nsgf_max**4))
     519             : 
     520             :       nspins = dft_control%nspins
     521             : 
     522             :       ALLOCATE (max_contraction(max_set, natom))
     523             : 
     524             :       max_contraction = 0.0_dp
     525             :       max_pgf = 0
     526             :       DO jatom = 1, natom
     527             :          jkind = kind_of(jatom)
     528             :          lb_max => basis_parameter(jkind)%lmax
     529             :          nsetb = basis_parameter(jkind)%nset
     530             :          npgfb => basis_parameter(jkind)%npgf
     531             :          first_sgfb => basis_parameter(jkind)%first_sgf
     532             :          sphi_b => basis_parameter(jkind)%sphi
     533             :          nsgfb => basis_parameter(jkind)%nsgf
     534             :          DO jset = 1, nsetb
     535             :             ! takes the primitive to contracted transformation into account
     536             :             ncob = npgfb(jset)*ncoset(lb_max(jset))
     537             :             sgfb = first_sgfb(1, jset)
     538             :             ! if the primitives are assumed to be all of max_val2, max_val2*p2s_b becomes
     539             :             ! the maximum value after multiplication with sphi_b
     540             :             max_contraction(jset, jatom) = MAXVAL((/(SUM(ABS(sphi_b(1:ncob, i))), i=sgfb, sgfb + nsgfb(jset) - 1)/))
     541             :             max_pgf = MAX(max_pgf, npgfb(jset))
     542             :          END DO
     543             :       END DO
     544             : 
     545             :       ! ** Allocate buffers for pgf_lists
     546             :       nneighbors = SIZE(actual_x_data%neighbor_cells)
     547             :       ALLOCATE (pgf_list_ij(max_pgf**2))
     548             :       ALLOCATE (pgf_list_kl(max_pgf**2))
     549             :       ! the size of pgf_product_list is allocated and resized as needed. The initial guess grows as needed
     550             : !$OMP     ATOMIC READ
     551             :       tmp_i4 = pgf_product_list_size
     552             :       ALLOCATE (pgf_product_list(tmp_i4))
     553             :       ALLOCATE (nimages(max_pgf**2))
     554             : 
     555             :       DO i = 1, max_pgf**2
     556             :          ALLOCATE (pgf_list_ij(i)%image_list(nneighbors))
     557             :          ALLOCATE (pgf_list_kl(i)%image_list(nneighbors))
     558             :       END DO
     559             : !$OMP BARRIER
     560             : !$OMP MASTER
     561             :       !! Calculate helper array that stores if a certain atomic pair is associated in the KS matrix
     562             :       IF (my_geo_change) THEN
     563             :          CALL get_atomic_block_maps(ks_matrix(1, 1)%matrix, basis_parameter, kind_of, &
     564             :                                     shm_master_x_data%is_assoc_atomic_block, &
     565             :                                     shm_master_x_data%number_of_p_entries, &
     566             :                                     para_env, &
     567             :                                     shm_master_x_data%atomic_block_offset, &
     568             :                                     shm_master_x_data%set_offset, &
     569             :                                     shm_master_x_data%block_offset, &
     570             :                                     shm_master_x_data%map_atoms_to_cpus, &
     571             :                                     nkind)
     572             : 
     573             :          shm_is_assoc_atomic_block => shm_master_x_data%is_assoc_atomic_block
     574             : 
     575             :          !! Get occupation of KS-matrix
     576             :          ks_fully_occ = .TRUE.
     577             :          outer: DO iatom = 1, natom
     578             :             DO jatom = iatom, natom
     579             :                IF (shm_is_assoc_atomic_block(jatom, iatom) == 0) THEN
     580             :                   ks_fully_occ = .FALSE.
     581             :                   EXIT outer
     582             :                END IF
     583             :             END DO
     584             :          END DO outer
     585             : 
     586             :          IF (.NOT. ks_fully_occ) THEN
     587             :             CALL cp_warn(__LOCATION__, &
     588             :                          "The Kohn Sham matrix is not 100% occupied. This "// &
     589             :                          "may result in incorrect Hartree-Fock results. Setting "// &
     590             :                          "MIN_PAIR_LIST_RADIUS to -1 in the QS section ensures a "// &
     591             :                          "fully occupied KS matrix. For more information "// &
     592             :                          "see FAQ: https://www.cp2k.org/faq:hfx_eps_warning")
     593             :          END IF
     594             :       END IF
     595             : 
     596             :       ! ** Set pointers
     597             :       shm_number_of_p_entries = shm_master_x_data%number_of_p_entries
     598             :       shm_is_assoc_atomic_block => shm_master_x_data%is_assoc_atomic_block
     599             :       shm_atomic_block_offset => shm_master_x_data%atomic_block_offset
     600             :       shm_set_offset => shm_master_x_data%set_offset
     601             :       shm_block_offset => shm_master_x_data%block_offset
     602             : !$OMP END MASTER
     603             : !$OMP BARRIER
     604             : 
     605             :       ! ** Reset storage counter given by MAX_MEMORY by subtracting all buffers
     606             :       ! ** Fock and density Matrices (shared)
     607             :       subtr_size_mb = 2_int_8*shm_block_offset(ncpu + 1)
     608             :       ! ** if non restricted ==> alpha/beta spin
     609             :       IF (.NOT. treat_lsd_in_core) THEN
     610             :          IF (nspins == 2) subtr_size_mb = subtr_size_mb*2_int_8
     611             :       END IF
     612             :       ! ** Initial P only MAX(alpha,beta) (shared)
     613             :       IF (do_p_screening .OR. screening_parameter%do_p_screening_forces) THEN
     614             :          subtr_size_mb = subtr_size_mb + memory_parameter%size_p_screen
     615             :       END IF
     616             :       ! ** In core forces require their own initial P
     617             :       IF (screening_parameter%do_p_screening_forces) THEN
     618             :          IF (memory_parameter%treat_forces_in_core) THEN
     619             :             subtr_size_mb = subtr_size_mb + memory_parameter%size_p_screen
     620             :          END IF
     621             :       END IF
     622             :       ! ** primitive buffer (not shared by the threads)
     623             :       subtr_size_mb = subtr_size_mb + nsgf_max**4*n_threads
     624             :       ! ** density + fock buffers
     625             :       subtr_size_mb = subtr_size_mb + 8_int_8*nsgf_max**2*n_threads
     626             :       ! ** screening functions (shared)
     627             :       ! ** coeffs_pgf
     628             :       subtr_size_mb = subtr_size_mb + max_pgf**2*max_set**2*nkind**2
     629             :       ! ** coeffs_set
     630             :       subtr_size_mb = subtr_size_mb + max_set**2*nkind**2
     631             :       ! ** coeffs_kind
     632             :       subtr_size_mb = subtr_size_mb + nkind**2
     633             :       ! ** radii_pgf
     634             :       subtr_size_mb = subtr_size_mb + max_pgf**2*max_set**2*nkind**2
     635             : 
     636             :       ! ** is_assoc (shared)
     637             :       subtr_size_mb = subtr_size_mb + natom**2
     638             : 
     639             :       ! ** pmax_atom (shared)
     640             :       IF (do_p_screening) THEN
     641             :          subtr_size_mb = subtr_size_mb + natom**2
     642             :       END IF
     643             :       IF (screening_parameter%do_p_screening_forces) THEN
     644             :          IF (memory_parameter%treat_forces_in_core) THEN
     645             :             subtr_size_mb = subtr_size_mb + natom**2
     646             :          END IF
     647             :       END IF
     648             : 
     649             :       ! ** Convert into MiB's
     650             :       subtr_size_mb = subtr_size_mb*8_int_8/1024_int_8/1024_int_8
     651             : 
     652             :       ! ** Subtracting all these buffers from MAX_MEMORY yields the amount
     653             :       ! ** of RAM that is left for the compressed integrals. When using threads
     654             :       ! ** all the available memory is shared among all n_threads. i.e. the faster
     655             :       ! ** ones can steal from the slower ones
     656             : 
     657             :       CALL hfx_reset_memory_usage_counter(memory_parameter, subtr_size_mb)
     658             : 
     659             :       use_disk_storage = .FALSE.
     660             :       counter = 0_int_8
     661             :       do_disk_storage = memory_parameter%do_disk_storage
     662             :       IF (do_disk_storage) THEN
     663             :          maxval_container_disk => actual_x_data%store_ints%maxval_container_disk
     664             :          maxval_cache_disk => actual_x_data%store_ints%maxval_cache_disk
     665             : 
     666             :          integral_containers_disk => actual_x_data%store_ints%integral_containers_disk
     667             :          integral_caches_disk => actual_x_data%store_ints%integral_caches_disk
     668             :       END IF
     669             : 
     670             :       IF (my_geo_change) THEN
     671             :          memory_parameter%ram_counter = HUGE(memory_parameter%ram_counter)
     672             :       END IF
     673             : 
     674             :       IF (my_geo_change) THEN
     675             :          memory_parameter%recalc_forces = .TRUE.
     676             :       ELSE
     677             :          IF (.NOT. memory_parameter%treat_forces_in_core) memory_parameter%recalc_forces = .TRUE.
     678             :       END IF
     679             : 
     680             :       !! Get screening parameter
     681             :       eps_schwarz = screening_parameter%eps_schwarz
     682             :       IF (eps_schwarz <= 0.0_dp) THEN
     683             :          log10_eps_schwarz = log_zero
     684             :       ELSE
     685             :          log10_eps_schwarz = LOG10(eps_schwarz)
     686             :       END IF
     687             :       !! get storage epsilon
     688             :       eps_storage = eps_schwarz*memory_parameter%eps_storage_scaling
     689             : 
     690             :       !! If we have a hybrid functional, we may need only a fraction of exact exchange
     691             :       hf_fraction = general_parameter%fraction
     692             : 
     693             :       !! The number of integrals that fit into the given MAX_MEMORY
     694             : 
     695             :       !! Parameters related to the potential 1/r, erf(wr)/r, erfc(wr/r)
     696             :       potential_parameter = actual_x_data%potential_parameter
     697             : 
     698             :       !! Variable to check if we calculate the integrals in-core or on the fly
     699             :       !! If TRUE -> on the fly
     700             :       IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
     701             :          buffer_overflow = .FALSE.
     702             :       ELSE
     703             :          buffer_overflow = .TRUE.
     704             :       END IF
     705             :       logger => cp_get_default_logger()
     706             : 
     707             :       private_lib = actual_x_data%lib
     708             : 
     709             :       !! Helper array to map local basis function indices to global ones
     710             :       ALLOCATE (last_sgf_global(0:natom))
     711             :       last_sgf_global(0) = 0
     712             :       DO iatom = 1, natom
     713             :          ikind = kind_of(iatom)
     714             :          last_sgf_global(iatom) = last_sgf_global(iatom - 1) + basis_parameter(ikind)%nsgf_total
     715             :       END DO
     716             : !$OMP BARRIER
     717             : !$OMP MASTER
     718             :       !! Let master thread get the density (avoid problems with MPI)
     719             :       !! Get the full density from all the processors
     720             :       NULLIFY (full_density_alpha, full_density_beta)
     721             :       ALLOCATE (full_density_alpha(shm_block_offset(ncpu + 1), nkimages))
     722             :       IF (.NOT. treat_lsd_in_core .OR. nspins == 1) THEN
     723             :          CALL timeset(routineN//"_getP", handle_getP)
     724             :          DO img = 1, nkimages
     725             :             CALL get_full_density(para_env, full_density_alpha(:, img), rho_ao(ispin, img)%matrix, shm_number_of_p_entries, &
     726             :                                   shm_master_x_data%block_offset, &
     727             :                                   kind_of, basis_parameter, get_max_vals_spin=.FALSE., antisymmetric=is_anti_symmetric)
     728             :          END DO
     729             : 
     730             :          IF (nspins == 2) THEN
     731             :             ALLOCATE (full_density_beta(shm_block_offset(ncpu + 1), nkimages))
     732             :             DO img = 1, nkimages
     733             :                CALL get_full_density(para_env, full_density_beta(:, img), rho_ao(2, img)%matrix, shm_number_of_p_entries, &
     734             :                                      shm_master_x_data%block_offset, &
     735             :                                      kind_of, basis_parameter, get_max_vals_spin=.FALSE., antisymmetric=is_anti_symmetric)
     736             :             END DO
     737             :          END IF
     738             :          CALL timestop(handle_getP)
     739             : 
     740             :          !! Calculate the max values of the density matrix actual_pmax stores the data from the actual density matrix
     741             :          !! and x_data%initial_p stores the same for the initial guess. The initial guess is updated only in the case of
     742             :          !! a changed geometry
     743             :          NULLIFY (shm_initial_p)
     744             :          IF (do_p_screening) THEN
     745             :             shm_initial_p => shm_master_x_data%initial_p
     746             :             shm_pmax_atom => shm_master_x_data%pmax_atom
     747             :             IF (my_geo_change) THEN
     748             :                CALL update_pmax_mat(shm_master_x_data%initial_p, &
     749             :                                     shm_master_x_data%map_atom_to_kind_atom, &
     750             :                                     shm_master_x_data%set_offset, &
     751             :                                     shm_master_x_data%atomic_block_offset, &
     752             :                                     shm_pmax_atom, &
     753             :                                     full_density_alpha, full_density_beta, &
     754             :                                     natom, kind_of, basis_parameter, &
     755             :                                     nkind, shm_master_x_data%is_assoc_atomic_block)
     756             :             END IF
     757             :          END IF
     758             :       ELSE
     759             :          IF (do_p_screening) THEN
     760             :             CALL timeset(routineN//"_getP", handle_getP)
     761             :             DO img = 1, nkimages
     762             :                CALL get_full_density(para_env, full_density_alpha(:, img), rho_ao(1, img)%matrix, shm_number_of_p_entries, &
     763             :                                      shm_master_x_data%block_offset, &
     764             :                                      kind_of, basis_parameter, get_max_vals_spin=.TRUE., &
     765             :                                      rho_beta=rho_ao(2, img)%matrix, antisymmetric=is_anti_symmetric)
     766             :             END DO
     767             :             CALL timestop(handle_getP)
     768             : 
     769             :             !! Calculate the max values of the density matrix actual_pmax stores the data from the actual density matrix
     770             :             !! and x_data%initial_p stores the same for the initial guess. The initial guess is updated only in the case of
     771             :             !! a changed geometry
     772             :             NULLIFY (shm_initial_p)
     773             :             shm_initial_p => actual_x_data%initial_p
     774             :             shm_pmax_atom => shm_master_x_data%pmax_atom
     775             :             IF (my_geo_change) THEN
     776             :                CALL update_pmax_mat(shm_master_x_data%initial_p, &
     777             :                                     shm_master_x_data%map_atom_to_kind_atom, &
     778             :                                     shm_master_x_data%set_offset, &
     779             :                                     shm_master_x_data%atomic_block_offset, &
     780             :                                     shm_pmax_atom, &
     781             :                                     full_density_alpha, full_density_beta, &
     782             :                                     natom, kind_of, basis_parameter, &
     783             :                                     nkind, shm_master_x_data%is_assoc_atomic_block)
     784             :             END IF
     785             :          END IF
     786             :          ! ** Now get the density(ispin)
     787             :          DO img = 1, nkimages
     788             :             CALL get_full_density(para_env, full_density_alpha(:, img), rho_ao(ispin, img)%matrix, shm_number_of_p_entries, &
     789             :                                   shm_master_x_data%block_offset, &
     790             :                                   kind_of, basis_parameter, get_max_vals_spin=.FALSE., &
     791             :                                   antisymmetric=is_anti_symmetric)
     792             :          END DO
     793             :       END IF
     794             : 
     795             :       NULLIFY (full_ks_alpha, full_ks_beta)
     796             :       ALLOCATE (shm_master_x_data%full_ks_alpha(shm_block_offset(ncpu + 1), nkimages))
     797             :       full_ks_alpha => shm_master_x_data%full_ks_alpha
     798             :       full_ks_alpha = 0.0_dp
     799             : 
     800             :       IF (.NOT. treat_lsd_in_core) THEN
     801             :          IF (nspins == 2) THEN
     802             :             ALLOCATE (shm_master_x_data%full_ks_beta(shm_block_offset(ncpu + 1), nkimages))
     803             :             full_ks_beta => shm_master_x_data%full_ks_beta
     804             :             full_ks_beta = 0.0_dp
     805             :          END IF
     806             :       END IF
     807             : 
     808             :       !! Initialize schwarz screening matrices for near field estimates and boxing screening matrices
     809             :       !! for far field estimates. The update is only performed if the geomtry of the system changed.
     810             :       !! If the system is periodic, then the corresponding routines are called and some variables
     811             :       !! are initialized
     812             : 
     813             : !$OMP END MASTER
     814             : !$OMP BARRIER
     815             : 
     816             :       IF (.NOT. shm_master_x_data%screen_funct_is_initialized) THEN
     817             :          CALL calc_pair_dist_radii(qs_env, basis_parameter, &
     818             :                                    shm_master_x_data%pair_dist_radii_pgf, max_set, max_pgf, eps_schwarz, &
     819             :                                    n_threads, i_thread)
     820             : !$OMP BARRIER
     821             :          CALL calc_screening_functions(qs_env, basis_parameter, private_lib, shm_master_x_data%potential_parameter, &
     822             :                                        shm_master_x_data%screen_funct_coeffs_set, &
     823             :                                        shm_master_x_data%screen_funct_coeffs_kind, &
     824             :                                        shm_master_x_data%screen_funct_coeffs_pgf, &
     825             :                                        shm_master_x_data%pair_dist_radii_pgf, &
     826             :                                        max_set, max_pgf, n_threads, i_thread, p_work)
     827             : 
     828             : !$OMP MASTER
     829             :          shm_master_x_data%screen_funct_is_initialized = .TRUE.
     830             : !$OMP END MASTER
     831             :       END IF
     832             : !$OMP BARRIER
     833             : 
     834             : !$OMP MASTER
     835             :       screen_coeffs_set => shm_master_x_data%screen_funct_coeffs_set
     836             :       screen_coeffs_kind => shm_master_x_data%screen_funct_coeffs_kind
     837             :       screen_coeffs_pgf => shm_master_x_data%screen_funct_coeffs_pgf
     838             :       radii_pgf => shm_master_x_data%pair_dist_radii_pgf
     839             : !$OMP END MASTER
     840             : !$OMP BARRIER
     841             : 
     842             :       !! Initialize a prefactor depending on the fraction and the number of spins
     843             :       IF (nspins == 1) THEN
     844             :          fac = 0.5_dp*hf_fraction
     845             :       ELSE
     846             :          fac = 1.0_dp*hf_fraction
     847             :       END IF
     848             : 
     849             :       !! Call routines that distribute the load on all processes. If we want to screen on a initial density matrix, there is
     850             :       !! an optional parameter. Of course, this is only done if the geometry did change
     851             : !$OMP BARRIER
     852             : !$OMP MASTER
     853             :       CALL timeset(routineN//"_load", handle_load)
     854             : !$OMP END MASTER
     855             : !$OMP BARRIER
     856             :       IF (my_geo_change) THEN
     857             :          IF (actual_x_data%b_first_load_balance_energy) THEN
     858             :             CALL hfx_load_balance(actual_x_data, eps_schwarz, particle_set, max_set, para_env, &
     859             :                                   screen_coeffs_set, screen_coeffs_kind, &
     860             :                                   shm_is_assoc_atomic_block, do_periodic, load_balance_parameter, &
     861             :                                   kind_of, basis_parameter, shm_initial_p, shm_pmax_atom, i_thread, n_threads, &
     862             :                                   cell, do_p_screening, actual_x_data%map_atom_to_kind_atom, &
     863             :                                   nkind, hfx_do_eval_energy, shm_pmax_block, use_virial=.FALSE.)
     864             :             actual_x_data%b_first_load_balance_energy = .FALSE.
     865             :          ELSE
     866             :             CALL hfx_update_load_balance(actual_x_data, para_env, &
     867             :                                          load_balance_parameter, &
     868             :                                          i_thread, n_threads, hfx_do_eval_energy)
     869             :          END IF
     870             :       END IF
     871             : !$OMP BARRIER
     872             : !$OMP MASTER
     873             :       CALL timestop(handle_load)
     874             : !$OMP END MASTER
     875             : !$OMP BARRIER
     876             : 
     877             :       !! Start caluclating integrals of the form (ab|cd) or (ij|kl)
     878             :       !! In order to do so, there is a main four-loop structure that takes into account the two symmetries
     879             :       !!
     880             :       !!   (ab|cd) = (ba|cd) = (ab|dc) = (ba|dc)
     881             :       !!
     882             :       !! by iterating in the following way
     883             :       !!
     884             :       !! DO iatom=1,natom               and       DO katom=1,natom
     885             :       !!   DO jatom=iatom,natom                     DO latom=katom,natom
     886             :       !!
     887             :       !! The third symmetry
     888             :       !!
     889             :       !!  (ab|cd) = (cd|ab)
     890             :       !!
     891             :       !! is taken into account by the following criterion:
     892             :       !!
     893             :       !! IF(katom+latom<=iatom+jatom)  THEN
     894             :       !!   IF( ((iatom+jatom).EQ.(katom+latom) ) .AND.(katom<iatom)) CYCLE
     895             :       !!
     896             :       !! Depending on the degeneracy of an integral the exchange contribution is multiplied by a corresponding
     897             :       !! factor ( symm_fac ).
     898             :       !!
     899             :       !! If one quartet does not pass the screening we CYCLE on the outer most possible loop. Thats why we use
     900             :       !! different hierarchies of short range screening matrices.
     901             :       !!
     902             :       !! If we do a parallel run, each process owns a unique array of workloads. Here, a workload is
     903             :       !! defined as :
     904             :       !!
     905             :       !! istart, jstart, kstart, lstart, number_of_atom_quartets, initial_cpu_id
     906             :       !!
     907             :       !! This tells the process where to start the main loops and how many bunches of integrals it has to
     908             :       !! calculate. The original parallelization is a simple modulo distribution that is binned and
     909             :       !! optimized in the load_balance routines. Since the Monte Carlo routines can swap processors,
     910             :       !! we need to know which was the initial cpu_id.
     911             :       !! Furthermore, the indices iatom, jatom, katom, latom have to be set to istart, jstart, kstart and
     912             :       !! lstart only the first time the loop is executed. All subsequent loops have to start with one or
     913             :       !! iatom and katom respectively. Therefore, we use flags like first_j_loop etc.
     914             : 
     915             :       do_dynamic_load_balancing = .TRUE.
     916             : 
     917             :       IF (n_threads == 1 .OR. do_disk_storage) do_dynamic_load_balancing = .FALSE.
     918             : 
     919             :       IF (do_dynamic_load_balancing) THEN
     920             :          my_bin_size = SIZE(actual_x_data%distribution_energy)
     921             :       ELSE
     922             :          my_bin_size = 1
     923             :       END IF
     924             :       !! We do not need the containers if MAX_MEM = 0
     925             :       IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
     926             :          !! IF new md step -> reinitialize containers
     927             :          IF (my_geo_change) THEN
     928             :             CALL dealloc_containers(actual_x_data%store_ints, memory_parameter%actual_memory_usage)
     929             :             CALL alloc_containers(actual_x_data%store_ints, my_bin_size)
     930             : 
     931             :             DO bin = 1, my_bin_size
     932             :                maxval_container => actual_x_data%store_ints%maxval_container(bin)
     933             :                integral_containers => actual_x_data%store_ints%integral_containers(:, bin)
     934             :                CALL hfx_init_container(maxval_container, memory_parameter%actual_memory_usage, .FALSE.)
     935             :                DO i = 1, 64
     936             :                   CALL hfx_init_container(integral_containers(i), memory_parameter%actual_memory_usage, .FALSE.)
     937             :                END DO
     938             :             END DO
     939             :          END IF
     940             : 
     941             :          !! Decompress the first cache for maxvals and integrals
     942             :          IF (.NOT. my_geo_change) THEN
     943             :             DO bin = 1, my_bin_size
     944             :                maxval_cache => actual_x_data%store_ints%maxval_cache(bin)
     945             :                maxval_container => actual_x_data%store_ints%maxval_container(bin)
     946             :                integral_caches => actual_x_data%store_ints%integral_caches(:, bin)
     947             :                integral_containers => actual_x_data%store_ints%integral_containers(:, bin)
     948             :                CALL hfx_decompress_first_cache(bits_max_val, maxval_cache, maxval_container, &
     949             :                                                memory_parameter%actual_memory_usage, .FALSE.)
     950             :                DO i = 1, 64
     951             :                   CALL hfx_decompress_first_cache(i, integral_caches(i), integral_containers(i), &
     952             :                                                   memory_parameter%actual_memory_usage, .FALSE.)
     953             :                END DO
     954             :             END DO
     955             :          END IF
     956             :       END IF
     957             : 
     958             :       !! Since the I/O routines are no thread-safe, i.e. the procedure to get the unit number, put a lock here
     959             : !$OMP CRITICAL(hfxenergy_io_critical)
     960             :       !! If we do disk storage, we have to initialize the containers/caches
     961             :       IF (do_disk_storage) THEN
     962             :          !! IF new md step -> reinitialize containers
     963             :          IF (my_geo_change) THEN
     964             :             CALL hfx_init_container(maxval_container_disk, memory_parameter%actual_memory_usage_disk, do_disk_storage)
     965             :             DO i = 1, 64
     966             :                CALL hfx_init_container(integral_containers_disk(i), memory_parameter%actual_memory_usage_disk, do_disk_storage)
     967             :             END DO
     968             :          END IF
     969             :          !! Decompress the first cache for maxvals and integrals
     970             :          IF (.NOT. my_geo_change) THEN
     971             :             CALL hfx_decompress_first_cache(bits_max_val, maxval_cache_disk, maxval_container_disk, &
     972             :                                             memory_parameter%actual_memory_usage_disk, .TRUE.)
     973             :             DO i = 1, 64
     974             :                CALL hfx_decompress_first_cache(i, integral_caches_disk(i), integral_containers_disk(i), &
     975             :                                                memory_parameter%actual_memory_usage_disk, .TRUE.)
     976             :             END DO
     977             :          END IF
     978             :       END IF
     979             : !$OMP END CRITICAL(hfxenergy_io_critical)
     980             : 
     981             : !$OMP BARRIER
     982             : !$OMP MASTER
     983             : 
     984             :       IF (do_dynamic_load_balancing) THEN
     985             :          ! ** Lets construct the task list
     986             :          shm_total_bins = 0
     987             :          DO i = 1, n_threads
     988             :             shm_total_bins = shm_total_bins + SIZE(x_data(irep, i)%distribution_energy)
     989             :          END DO
     990             :          ALLOCATE (tmp_task_list(shm_total_bins))
     991             :          shm_task_counter = 0
     992             :          DO i = 1, n_threads
     993             :             DO bin = 1, SIZE(x_data(irep, i)%distribution_energy)
     994             :                shm_task_counter = shm_task_counter + 1
     995             :                tmp_task_list(shm_task_counter)%thread_id = i
     996             :                tmp_task_list(shm_task_counter)%bin_id = bin
     997             :                tmp_task_list(shm_task_counter)%cost = x_data(irep, i)%distribution_energy(bin)%cost
     998             :             END DO
     999             :          END DO
    1000             : 
    1001             :          ! ** Now sort the task list
    1002             :          ALLOCATE (tmp_task_list_cost(shm_total_bins))
    1003             :          ALLOCATE (tmp_index(shm_total_bins))
    1004             : 
    1005             :          DO i = 1, shm_total_bins
    1006             :             tmp_task_list_cost(i) = tmp_task_list(i)%cost
    1007             :          END DO
    1008             : 
    1009             :          CALL sort(tmp_task_list_cost, shm_total_bins, tmp_index)
    1010             : 
    1011             :          ALLOCATE (shm_master_x_data%task_list(shm_total_bins))
    1012             : 
    1013             :          DO i = 1, shm_total_bins
    1014             :             shm_master_x_data%task_list(i) = tmp_task_list(tmp_index(shm_total_bins - i + 1))
    1015             :          END DO
    1016             : 
    1017             :          shm_task_list => shm_master_x_data%task_list
    1018             :          shm_task_counter = 0
    1019             : 
    1020             :          DEALLOCATE (tmp_task_list_cost, tmp_index, tmp_task_list)
    1021             :       END IF
    1022             : !$OMP END MASTER
    1023             : !$OMP BARRIER
    1024             : 
    1025             :       IF (my_bin_size > 0) THEN
    1026             :          maxval_container => actual_x_data%store_ints%maxval_container(1)
    1027             :          maxval_cache => actual_x_data%store_ints%maxval_cache(1)
    1028             : 
    1029             :          integral_containers => actual_x_data%store_ints%integral_containers(:, 1)
    1030             :          integral_caches => actual_x_data%store_ints%integral_caches(:, 1)
    1031             :       END IF
    1032             : 
    1033             : !$OMP BARRIER
    1034             : !$OMP MASTER
    1035             :       CALL timeset(routineN//"_main", handle_main)
    1036             : !$OMP END MASTER
    1037             : !$OMP BARRIER
    1038             : 
    1039             :       coeffs_kind_max0 = MAXVAL(screen_coeffs_kind(:, :)%x(2))
    1040             :       ALLOCATE (set_list_ij((max_set*load_balance_parameter%block_size)**2))
    1041             :       ALLOCATE (set_list_kl((max_set*load_balance_parameter%block_size)**2))
    1042             : 
    1043             : !$OMP BARRIER
    1044             : !$OMP MASTER
    1045             : 
    1046             :       !! precalculate maximum density matrix elements in blocks
    1047             :       actual_x_data%pmax_block = 0.0_dp
    1048             :       shm_pmax_block => actual_x_data%pmax_block
    1049             :       IF (do_p_screening) THEN
    1050             :          DO iatom_block = 1, SIZE(actual_x_data%blocks)
    1051             :             iatom_start = actual_x_data%blocks(iatom_block)%istart
    1052             :             iatom_end = actual_x_data%blocks(iatom_block)%iend
    1053             :             DO jatom_block = 1, SIZE(actual_x_data%blocks)
    1054             :                jatom_start = actual_x_data%blocks(jatom_block)%istart
    1055             :                jatom_end = actual_x_data%blocks(jatom_block)%iend
    1056             :                shm_pmax_block(iatom_block, jatom_block) = MAXVAL(shm_pmax_atom(iatom_start:iatom_end, jatom_start:jatom_end))
    1057             :             END DO
    1058             :          END DO
    1059             :       END IF
    1060             :       shm_atomic_pair_list => actual_x_data%atomic_pair_list
    1061             :       IF (my_geo_change) THEN
    1062             :          CALL build_atomic_pair_list(natom, shm_atomic_pair_list, kind_of, basis_parameter, particle_set, &
    1063             :                                      do_periodic, screen_coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
    1064             :                                      actual_x_data%blocks)
    1065             :       END IF
    1066             : 
    1067             :       my_bin_size = SIZE(actual_x_data%distribution_energy)
    1068             :       ! reset timings for the new SCF round
    1069             :       IF (my_geo_change) THEN
    1070             :          DO bin = 1, my_bin_size
    1071             :             actual_x_data%distribution_energy(bin)%time_first_scf = 0.0_dp
    1072             :             actual_x_data%distribution_energy(bin)%time_other_scf = 0.0_dp
    1073             :             actual_x_data%distribution_energy(bin)%time_forces = 0.0_dp
    1074             :          END DO
    1075             :       END IF
    1076             : !$OMP END MASTER
    1077             : !$OMP BARRIER
    1078             : 
    1079             :       my_bin_size = SIZE(actual_x_data%distribution_energy)
    1080             :       nblocks = load_balance_parameter%nblocks
    1081             : 
    1082             :       bins_left = .TRUE.
    1083             :       do_it = .TRUE.
    1084             :       bin = 0
    1085             :       DO WHILE (bins_left)
    1086             :          IF (.NOT. do_dynamic_load_balancing) THEN
    1087             :             bin = bin + 1
    1088             :             IF (bin > my_bin_size) THEN
    1089             :                do_it = .FALSE.
    1090             :                bins_left = .FALSE.
    1091             :             ELSE
    1092             :                do_it = .TRUE.
    1093             :                bins_left = .TRUE.
    1094             :                distribution_energy => actual_x_data%distribution_energy(bin)
    1095             :             END IF
    1096             :          ELSE
    1097             : !$OMP CRITICAL(hfxenergy_critical)
    1098             :             shm_task_counter = shm_task_counter + 1
    1099             :             IF (shm_task_counter <= shm_total_bins) THEN
    1100             :                my_thread_id = shm_task_list(shm_task_counter)%thread_id
    1101             :                my_bin_id = shm_task_list(shm_task_counter)%bin_id
    1102             :                IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
    1103             :                   maxval_cache => x_data(irep, my_thread_id)%store_ints%maxval_cache(my_bin_id)
    1104             :                   maxval_container => x_data(irep, my_thread_id)%store_ints%maxval_container(my_bin_id)
    1105             :                   integral_caches => x_data(irep, my_thread_id)%store_ints%integral_caches(:, my_bin_id)
    1106             :                   integral_containers => x_data(irep, my_thread_id)%store_ints%integral_containers(:, my_bin_id)
    1107             :                END IF
    1108             :                distribution_energy => x_data(irep, my_thread_id)%distribution_energy(my_bin_id)
    1109             :                do_it = .TRUE.
    1110             :                bins_left = .TRUE.
    1111             :                IF (my_geo_change) THEN
    1112             :                   distribution_energy%ram_counter = HUGE(distribution_energy%ram_counter)
    1113             :                END IF
    1114             :                counter = 0_Int_8
    1115             :             ELSE
    1116             :                do_it = .FALSE.
    1117             :                bins_left = .FALSE.
    1118             :             END IF
    1119             : !$OMP END CRITICAL(hfxenergy_critical)
    1120             :          END IF
    1121             : 
    1122             :          IF (.NOT. do_it) CYCLE
    1123             : !$OMP MASTER
    1124             :          CALL timeset(routineN//"_bin", handle_bin)
    1125             : !$OMP END MASTER
    1126             :          bintime_start = m_walltime()
    1127             :          my_istart = distribution_energy%istart
    1128             :          my_current_counter = 0
    1129             :          IF (distribution_energy%number_of_atom_quartets == 0 .OR. &
    1130             :              my_istart == -1_int_8) my_istart = nblocks**4
    1131             :          atomic_blocks: DO atom_block = my_istart, nblocks**4 - 1, n_processes
    1132             :             latom_block = INT(MODULO(atom_block, nblocks)) + 1
    1133             :             tmp_block = atom_block/nblocks
    1134             :             katom_block = INT(MODULO(tmp_block, nblocks)) + 1
    1135             :             IF (latom_block < katom_block) CYCLE
    1136             :             tmp_block = tmp_block/nblocks
    1137             :             jatom_block = INT(MODULO(tmp_block, nblocks)) + 1
    1138             :             tmp_block = tmp_block/nblocks
    1139             :             iatom_block = INT(MODULO(tmp_block, nblocks)) + 1
    1140             :             IF (jatom_block < iatom_block) CYCLE
    1141             :             my_current_counter = my_current_counter + 1
    1142             :             IF (my_current_counter > distribution_energy%number_of_atom_quartets) EXIT atomic_blocks
    1143             : 
    1144             :             iatom_start = actual_x_data%blocks(iatom_block)%istart
    1145             :             iatom_end = actual_x_data%blocks(iatom_block)%iend
    1146             :             jatom_start = actual_x_data%blocks(jatom_block)%istart
    1147             :             jatom_end = actual_x_data%blocks(jatom_block)%iend
    1148             :             katom_start = actual_x_data%blocks(katom_block)%istart
    1149             :             katom_end = actual_x_data%blocks(katom_block)%iend
    1150             :             latom_start = actual_x_data%blocks(latom_block)%istart
    1151             :             latom_end = actual_x_data%blocks(latom_block)%iend
    1152             : 
    1153             :             pmax_blocks = MAX(shm_pmax_block(katom_block, iatom_block), &
    1154             :                               shm_pmax_block(latom_block, jatom_block), &
    1155             :                               shm_pmax_block(latom_block, iatom_block), &
    1156             :                               shm_pmax_block(katom_block, jatom_block))
    1157             : 
    1158             :             IF (2.0_dp*coeffs_kind_max0 + pmax_blocks < log10_eps_schwarz) CYCLE
    1159             : 
    1160             :             CALL build_pair_list(natom, list_ij, set_list_ij, iatom_start, iatom_end, &
    1161             :                                  jatom_start, jatom_end, &
    1162             :                                  kind_of, basis_parameter, particle_set, &
    1163             :                                  do_periodic, screen_coeffs_set, screen_coeffs_kind, &
    1164             :                                  coeffs_kind_max0, log10_eps_schwarz, cell, pmax_blocks, &
    1165             :                                  shm_atomic_pair_list)
    1166             : 
    1167             :             CALL build_pair_list(natom, list_kl, set_list_kl, katom_start, katom_end, &
    1168             :                                  latom_start, latom_end, &
    1169             :                                  kind_of, basis_parameter, particle_set, &
    1170             :                                  do_periodic, screen_coeffs_set, screen_coeffs_kind, &
    1171             :                                  coeffs_kind_max0, log10_eps_schwarz, cell, pmax_blocks, &
    1172             :                                  shm_atomic_pair_list)
    1173             : 
    1174             :             DO i_list_ij = 1, list_ij%n_element
    1175             : 
    1176             :                iatom = list_ij%elements(i_list_ij)%pair(1)
    1177             :                jatom = list_ij%elements(i_list_ij)%pair(2)
    1178             :                i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
    1179             :                i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
    1180             :                ikind = list_ij%elements(i_list_ij)%kind_pair(1)
    1181             :                jkind = list_ij%elements(i_list_ij)%kind_pair(2)
    1182             :                ra = list_ij%elements(i_list_ij)%r1
    1183             :                rb = list_ij%elements(i_list_ij)%r2
    1184             :                rab2 = list_ij%elements(i_list_ij)%dist2
    1185             : 
    1186             :                la_max => basis_parameter(ikind)%lmax
    1187             :                la_min => basis_parameter(ikind)%lmin
    1188             :                npgfa => basis_parameter(ikind)%npgf
    1189             :                nseta = basis_parameter(ikind)%nset
    1190             :                zeta => basis_parameter(ikind)%zet
    1191             :                nsgfa => basis_parameter(ikind)%nsgf
    1192             :                sphi_a_ext => basis_parameter(ikind)%sphi_ext(:, :, :, :)
    1193             :                nsgfl_a => basis_parameter(ikind)%nsgfl
    1194             :                sphi_a_u1 = UBOUND(sphi_a_ext, 1)
    1195             :                sphi_a_u2 = UBOUND(sphi_a_ext, 2)
    1196             :                sphi_a_u3 = UBOUND(sphi_a_ext, 3)
    1197             : 
    1198             :                lb_max => basis_parameter(jkind)%lmax
    1199             :                lb_min => basis_parameter(jkind)%lmin
    1200             :                npgfb => basis_parameter(jkind)%npgf
    1201             :                nsetb = basis_parameter(jkind)%nset
    1202             :                zetb => basis_parameter(jkind)%zet
    1203             :                nsgfb => basis_parameter(jkind)%nsgf
    1204             :                sphi_b_ext => basis_parameter(jkind)%sphi_ext(:, :, :, :)
    1205             :                nsgfl_b => basis_parameter(jkind)%nsgfl
    1206             :                sphi_b_u1 = UBOUND(sphi_b_ext, 1)
    1207             :                sphi_b_u2 = UBOUND(sphi_b_ext, 2)
    1208             :                sphi_b_u3 = UBOUND(sphi_b_ext, 3)
    1209             : 
    1210             :                DO i_list_kl = 1, list_kl%n_element
    1211             :                   katom = list_kl%elements(i_list_kl)%pair(1)
    1212             :                   latom = list_kl%elements(i_list_kl)%pair(2)
    1213             : 
    1214             :                   IF (.NOT. (katom + latom <= iatom + jatom)) CYCLE
    1215             :                   IF (((iatom + jatom) .EQ. (katom + latom)) .AND. (katom < iatom)) CYCLE
    1216             :                   i_set_list_kl_start = list_kl%elements(i_list_kl)%set_bounds(1)
    1217             :                   i_set_list_kl_stop = list_kl%elements(i_list_kl)%set_bounds(2)
    1218             :                   kkind = list_kl%elements(i_list_kl)%kind_pair(1)
    1219             :                   lkind = list_kl%elements(i_list_kl)%kind_pair(2)
    1220             :                   rc = list_kl%elements(i_list_kl)%r1
    1221             :                   rd = list_kl%elements(i_list_kl)%r2
    1222             :                   rcd2 = list_kl%elements(i_list_kl)%dist2
    1223             : 
    1224             :                   IF (do_p_screening) THEN
    1225             :                      pmax_atom = MAX(shm_pmax_atom(katom, iatom), &
    1226             :                                      shm_pmax_atom(latom, jatom), &
    1227             :                                      shm_pmax_atom(latom, iatom), &
    1228             :                                      shm_pmax_atom(katom, jatom))
    1229             :                   ELSE
    1230             :                      pmax_atom = 0.0_dp
    1231             :                   END IF
    1232             : 
    1233             :                   screen_kind_ij = screen_coeffs_kind(jkind, ikind)%x(1)*rab2 + &
    1234             :                                    screen_coeffs_kind(jkind, ikind)%x(2)
    1235             :                   screen_kind_kl = screen_coeffs_kind(lkind, kkind)%x(1)*rcd2 + &
    1236             :                                    screen_coeffs_kind(lkind, kkind)%x(2)
    1237             : 
    1238             :                   IF (screen_kind_ij + screen_kind_kl + pmax_atom < log10_eps_schwarz) CYCLE
    1239             : 
    1240             :                   !! we want to be consistent with the KS matrix. If none of the atomic indices
    1241             :                   !! is associated cycle
    1242             :                   IF (.NOT. (shm_is_assoc_atomic_block(latom, iatom) >= 1 .AND. &
    1243             :                              shm_is_assoc_atomic_block(katom, iatom) >= 1 .AND. &
    1244             :                              shm_is_assoc_atomic_block(katom, jatom) >= 1 .AND. &
    1245             :                              shm_is_assoc_atomic_block(latom, jatom) >= 1)) CYCLE
    1246             : 
    1247             :                   !! calculate symmetry_factor according to degeneracy of atomic quartet
    1248             :                   symm_fac = 0.5_dp
    1249             :                   IF (iatom == jatom) symm_fac = symm_fac*2.0_dp
    1250             :                   IF (katom == latom) symm_fac = symm_fac*2.0_dp
    1251             :                   IF (iatom == katom .AND. jatom == latom .AND. iatom /= jatom .AND. katom /= latom) symm_fac = symm_fac*2.0_dp
    1252             :                   IF (iatom == katom .AND. iatom == jatom .AND. katom == latom) symm_fac = symm_fac*2.0_dp
    1253             :                   symm_fac = 1.0_dp/symm_fac
    1254             : 
    1255             :                   lc_max => basis_parameter(kkind)%lmax
    1256             :                   lc_min => basis_parameter(kkind)%lmin
    1257             :                   npgfc => basis_parameter(kkind)%npgf
    1258             :                   zetc => basis_parameter(kkind)%zet
    1259             :                   nsgfc => basis_parameter(kkind)%nsgf
    1260             :                   sphi_c_ext => basis_parameter(kkind)%sphi_ext(:, :, :, :)
    1261             :                   nsgfl_c => basis_parameter(kkind)%nsgfl
    1262             :                   sphi_c_u1 = UBOUND(sphi_c_ext, 1)
    1263             :                   sphi_c_u2 = UBOUND(sphi_c_ext, 2)
    1264             :                   sphi_c_u3 = UBOUND(sphi_c_ext, 3)
    1265             : 
    1266             :                   ld_max => basis_parameter(lkind)%lmax
    1267             :                   ld_min => basis_parameter(lkind)%lmin
    1268             :                   npgfd => basis_parameter(lkind)%npgf
    1269             :                   zetd => basis_parameter(lkind)%zet
    1270             :                   nsgfd => basis_parameter(lkind)%nsgf
    1271             :                   sphi_d_ext => basis_parameter(lkind)%sphi_ext(:, :, :, :)
    1272             :                   nsgfl_d => basis_parameter(lkind)%nsgfl
    1273             :                   sphi_d_u1 = UBOUND(sphi_d_ext, 1)
    1274             :                   sphi_d_u2 = UBOUND(sphi_d_ext, 2)
    1275             :                   sphi_d_u3 = UBOUND(sphi_d_ext, 3)
    1276             : 
    1277             :                   atomic_offset_bd = shm_atomic_block_offset(jatom, latom)
    1278             :                   atomic_offset_bc = shm_atomic_block_offset(jatom, katom)
    1279             :                   atomic_offset_ad = shm_atomic_block_offset(iatom, latom)
    1280             :                   atomic_offset_ac = shm_atomic_block_offset(iatom, katom)
    1281             : 
    1282             :                   IF (jatom < latom) THEN
    1283             :                      offset_bd_set => shm_set_offset(:, :, lkind, jkind)
    1284             :                   ELSE
    1285             :                      offset_bd_set => shm_set_offset(:, :, jkind, lkind)
    1286             :                   END IF
    1287             :                   IF (jatom < katom) THEN
    1288             :                      offset_bc_set => shm_set_offset(:, :, kkind, jkind)
    1289             :                   ELSE
    1290             :                      offset_bc_set => shm_set_offset(:, :, jkind, kkind)
    1291             :                   END IF
    1292             :                   IF (iatom < latom) THEN
    1293             :                      offset_ad_set => shm_set_offset(:, :, lkind, ikind)
    1294             :                   ELSE
    1295             :                      offset_ad_set => shm_set_offset(:, :, ikind, lkind)
    1296             :                   END IF
    1297             :                   IF (iatom < katom) THEN
    1298             :                      offset_ac_set => shm_set_offset(:, :, kkind, ikind)
    1299             :                   ELSE
    1300             :                      offset_ac_set => shm_set_offset(:, :, ikind, kkind)
    1301             :                   END IF
    1302             : 
    1303             :                   IF (do_p_screening) THEN
    1304             :                      swap_id = 0
    1305             :                      kind_kind_idx = INT(get_1D_idx(kkind, ikind, INT(nkind, int_8)))
    1306             :                      IF (ikind >= kkind) THEN
    1307             :                         ptr_p_1 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1308             :                                                                        actual_x_data%map_atom_to_kind_atom(katom), &
    1309             :                                                                        actual_x_data%map_atom_to_kind_atom(iatom))
    1310             :                      ELSE
    1311             :                         ptr_p_1 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1312             :                                                                        actual_x_data%map_atom_to_kind_atom(iatom), &
    1313             :                                                                        actual_x_data%map_atom_to_kind_atom(katom))
    1314             :                         swap_id = swap_id + 1
    1315             :                      END IF
    1316             :                      kind_kind_idx = INT(get_1D_idx(lkind, jkind, INT(nkind, int_8)))
    1317             :                      IF (jkind >= lkind) THEN
    1318             :                         ptr_p_2 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1319             :                                                                        actual_x_data%map_atom_to_kind_atom(latom), &
    1320             :                                                                        actual_x_data%map_atom_to_kind_atom(jatom))
    1321             :                      ELSE
    1322             :                         ptr_p_2 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1323             :                                                                        actual_x_data%map_atom_to_kind_atom(jatom), &
    1324             :                                                                        actual_x_data%map_atom_to_kind_atom(latom))
    1325             :                         swap_id = swap_id + 2
    1326             :                      END IF
    1327             :                      kind_kind_idx = INT(get_1D_idx(lkind, ikind, INT(nkind, int_8)))
    1328             :                      IF (ikind >= lkind) THEN
    1329             :                         ptr_p_3 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1330             :                                                                        actual_x_data%map_atom_to_kind_atom(latom), &
    1331             :                                                                        actual_x_data%map_atom_to_kind_atom(iatom))
    1332             :                      ELSE
    1333             :                         ptr_p_3 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1334             :                                                                        actual_x_data%map_atom_to_kind_atom(iatom), &
    1335             :                                                                        actual_x_data%map_atom_to_kind_atom(latom))
    1336             :                         swap_id = swap_id + 4
    1337             :                      END IF
    1338             :                      kind_kind_idx = INT(get_1D_idx(kkind, jkind, INT(nkind, int_8)))
    1339             :                      IF (jkind >= kkind) THEN
    1340             :                         ptr_p_4 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1341             :                                                                        actual_x_data%map_atom_to_kind_atom(katom), &
    1342             :                                                                        actual_x_data%map_atom_to_kind_atom(jatom))
    1343             :                      ELSE
    1344             :                         ptr_p_4 => shm_initial_p(kind_kind_idx)%p_kind(:, :, &
    1345             :                                                                        actual_x_data%map_atom_to_kind_atom(jatom), &
    1346             :                                                                        actual_x_data%map_atom_to_kind_atom(katom))
    1347             :                         swap_id = swap_id + 8
    1348             :                      END IF
    1349             :                   END IF
    1350             : 
    1351             :                   !! At this stage, check for memory used in compression
    1352             : 
    1353             :                   IF (my_geo_change) THEN
    1354             :                      IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
    1355             :                         ! ** We know the maximum amount of integrals that we can store per MPI-process
    1356             :                         ! ** Now we need to sum the current memory usage among all openMP threads
    1357             :                         ! ** We can just read what is currently stored on the corresponding x_data type
    1358             :                         ! ** If this is thread i and it tries to read the data from thread j, that is
    1359             :                         ! ** currently writing that data, we just dont care, because the possible error
    1360             :                         ! ** is of the order of CACHE_SIZE
    1361             :                         mem_compression_counter = 0
    1362             :                         DO i = 1, n_threads
    1363             : !$OMP                   ATOMIC READ
    1364             :                            tmp_i4 = x_data(irep, i)%memory_parameter%actual_memory_usage
    1365             :                            mem_compression_counter = mem_compression_counter + &
    1366             :                                                      tmp_i4*memory_parameter%cache_size
    1367             :                         END DO
    1368             :                         IF (mem_compression_counter > memory_parameter%max_compression_counter) THEN
    1369             :                            buffer_overflow = .TRUE.
    1370             :                            IF (do_dynamic_load_balancing) THEN
    1371             :                               distribution_energy%ram_counter = counter
    1372             :                            ELSE
    1373             :                               memory_parameter%ram_counter = counter
    1374             :                            END IF
    1375             :                         ELSE
    1376             :                            counter = counter + 1
    1377             :                            buffer_overflow = .FALSE.
    1378             :                         END IF
    1379             :                      END IF
    1380             :                   ELSE
    1381             :                      IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
    1382             :                         IF (do_dynamic_load_balancing) THEN
    1383             :                            IF (distribution_energy%ram_counter == counter) THEN
    1384             :                               buffer_overflow = .TRUE.
    1385             :                            ELSE
    1386             :                               counter = counter + 1
    1387             :                               buffer_overflow = .FALSE.
    1388             :                            END IF
    1389             : 
    1390             :                         ELSE
    1391             :                            IF (memory_parameter%ram_counter == counter) THEN
    1392             :                               buffer_overflow = .TRUE.
    1393             :                            ELSE
    1394             :                               counter = counter + 1
    1395             :                               buffer_overflow = .FALSE.
    1396             :                            END IF
    1397             :                         END IF
    1398             :                      END IF
    1399             :                   END IF
    1400             : 
    1401             :                   IF (buffer_overflow .AND. do_disk_storage) THEN
    1402             :                      use_disk_storage = .TRUE.
    1403             :                      buffer_overflow = .FALSE.
    1404             :                   END IF
    1405             : 
    1406             :                   IF (use_disk_storage) THEN
    1407             : !$OMP               ATOMIC READ
    1408             :                      tmp_i4 = memory_parameter%actual_memory_usage_disk
    1409             :                      mem_compression_counter_disk = tmp_i4*memory_parameter%cache_size
    1410             :                      IF (mem_compression_counter_disk > memory_parameter%max_compression_counter_disk) THEN
    1411             :                         buffer_overflow = .TRUE.
    1412             :                         use_disk_storage = .FALSE.
    1413             :                      END IF
    1414             :                   END IF
    1415             : 
    1416             :                   DO i_set_list_ij = i_set_list_ij_start, i_set_list_ij_stop
    1417             :                      iset = set_list_ij(i_set_list_ij)%pair(1)
    1418             :                      jset = set_list_ij(i_set_list_ij)%pair(2)
    1419             : 
    1420             :                      ncob = npgfb(jset)*ncoset(lb_max(jset))
    1421             :                      max_val1 = screen_coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2 + &
    1422             :                                 screen_coeffs_set(jset, iset, jkind, ikind)%x(2)
    1423             : 
    1424             :                      IF (max_val1 + screen_kind_kl + pmax_atom < log10_eps_schwarz) CYCLE
    1425             : 
    1426             :                      sphi_a_ext_set => sphi_a_ext(:, :, :, iset)
    1427             :                      sphi_b_ext_set => sphi_b_ext(:, :, :, jset)
    1428             :                      DO i_set_list_kl = i_set_list_kl_start, i_set_list_kl_stop
    1429             :                         kset = set_list_kl(i_set_list_kl)%pair(1)
    1430             :                         lset = set_list_kl(i_set_list_kl)%pair(2)
    1431             : 
    1432             :                         max_val2_set = (screen_coeffs_set(lset, kset, lkind, kkind)%x(1)*rcd2 + &
    1433             :                                         screen_coeffs_set(lset, kset, lkind, kkind)%x(2))
    1434             :                         max_val2 = max_val1 + max_val2_set
    1435             : 
    1436             :                         !! Near field screening
    1437             :                         IF (max_val2 + pmax_atom < log10_eps_schwarz) CYCLE
    1438             :                         sphi_c_ext_set => sphi_c_ext(:, :, :, kset)
    1439             :                         sphi_d_ext_set => sphi_d_ext(:, :, :, lset)
    1440             :                         !! get max_vals if we screen on initial density
    1441             :                         IF (do_p_screening) THEN
    1442             :                            CALL get_pmax_val(ptr_p_1, ptr_p_2, ptr_p_3, ptr_p_4, &
    1443             :                                              iset, jset, kset, lset, &
    1444             :                                              pmax_entry, swap_id)
    1445             :                         ELSE
    1446             :                            pmax_entry = 0.0_dp
    1447             :                         END IF
    1448             :                         log10_pmax = pmax_entry
    1449             :                         max_val2 = max_val2 + log10_pmax
    1450             :                         IF (max_val2 < log10_eps_schwarz) CYCLE
    1451             :                         pmax_entry = EXP(log10_pmax*ln_10)
    1452             : 
    1453             :                         !! store current number of integrals, update total number and number of integrals in buffer
    1454             :                         current_counter = nsgfa(iset)*nsgfb(jset)*nsgfc(kset)*nsgfd(lset)
    1455             :                         IF (buffer_overflow) THEN
    1456             :                            neris_onthefly = neris_onthefly + current_counter
    1457             :                         END IF
    1458             : 
    1459             :                         !! Get integrals from buffer and update Kohn-Sham matrix
    1460             :                         IF (.NOT. buffer_overflow .AND. .NOT. my_geo_change) THEN
    1461             :                            nints = current_counter
    1462             :                            IF (.NOT. use_disk_storage) THEN
    1463             :                               CALL hfx_get_single_cache_element( &
    1464             :                                  estimate_to_store_int, 6, &
    1465             :                                  maxval_cache, maxval_container, memory_parameter%actual_memory_usage, &
    1466             :                                  use_disk_storage)
    1467             :                            ELSE
    1468             :                               CALL hfx_get_single_cache_element( &
    1469             :                                  estimate_to_store_int, 6, &
    1470             :                                  maxval_cache_disk, maxval_container_disk, memory_parameter%actual_memory_usage_disk, &
    1471             :                                  use_disk_storage)
    1472             :                            END IF
    1473             :                            spherical_estimate = SET_EXPONENT(1.0_dp, estimate_to_store_int + 1)
    1474             :                            IF (spherical_estimate*pmax_entry < eps_schwarz) CYCLE
    1475             :                            nbits = EXPONENT(ANINT(spherical_estimate*pmax_entry/eps_storage)) + 1
    1476             :                            buffer_left = nints
    1477             :                            buffer_start = 1
    1478             :                            IF (.NOT. use_disk_storage) THEN
    1479             :                               neris_incore = neris_incore + INT(nints, int_8)
    1480             :                            ELSE
    1481             :                               neris_disk = neris_disk + INT(nints, int_8)
    1482             :                            END IF
    1483             :                            DO WHILE (buffer_left > 0)
    1484             :                               buffer_size = MIN(buffer_left, cache_size)
    1485             :                               IF (.NOT. use_disk_storage) THEN
    1486             :                                  CALL hfx_get_mult_cache_elements(primitive_integrals(buffer_start), &
    1487             :                                                                   buffer_size, nbits, &
    1488             :                                                                   integral_caches(nbits), &
    1489             :                                                                   integral_containers(nbits), &
    1490             :                                                                   eps_storage, pmax_entry, &
    1491             :                                                                   memory_parameter%actual_memory_usage, &
    1492             :                                                                   use_disk_storage)
    1493             :                               ELSE
    1494             :                                  CALL hfx_get_mult_cache_elements(primitive_integrals(buffer_start), &
    1495             :                                                                   buffer_size, nbits, &
    1496             :                                                                   integral_caches_disk(nbits), &
    1497             :                                                                   integral_containers_disk(nbits), &
    1498             :                                                                   eps_storage, pmax_entry, &
    1499             :                                                                   memory_parameter%actual_memory_usage_disk, &
    1500             :                                                                   use_disk_storage)
    1501             :                               END IF
    1502             :                               buffer_left = buffer_left - buffer_size
    1503             :                               buffer_start = buffer_start + buffer_size
    1504             :                            END DO
    1505             :                         END IF
    1506             :                         !! Calculate integrals if we run out of buffer or the geometry did change
    1507             :                         IF (my_geo_change .OR. buffer_overflow) THEN
    1508             :                            max_contraction_val = max_contraction(iset, iatom)* &
    1509             :                                                  max_contraction(jset, jatom)* &
    1510             :                                                  max_contraction(kset, katom)* &
    1511             :                                                  max_contraction(lset, latom)*pmax_entry
    1512             :                            tmp_R_1 => radii_pgf(:, :, jset, iset, jkind, ikind)
    1513             :                            tmp_R_2 => radii_pgf(:, :, lset, kset, lkind, kkind)
    1514             :                            tmp_screen_pgf1 => screen_coeffs_pgf(:, :, jset, iset, jkind, ikind)
    1515             :                            tmp_screen_pgf2 => screen_coeffs_pgf(:, :, lset, kset, lkind, kkind)
    1516             : 
    1517             :                            CALL coulomb4(private_lib, ra, rb, rc, rd, npgfa(iset), npgfb(jset), npgfc(kset), npgfd(lset), &
    1518             :                                          la_min(iset), la_max(iset), lb_min(jset), lb_max(jset), &
    1519             :                                          lc_min(kset), lc_max(kset), ld_min(lset), ld_max(lset), &
    1520             :                                          nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
    1521             :                                          sphi_a_u1, sphi_a_u2, sphi_a_u3, &
    1522             :                                          sphi_b_u1, sphi_b_u2, sphi_b_u3, &
    1523             :                                          sphi_c_u1, sphi_c_u2, sphi_c_u3, &
    1524             :                                          sphi_d_u1, sphi_d_u2, sphi_d_u3, &
    1525             :                                          zeta(1:npgfa(iset), iset), zetb(1:npgfb(jset), jset), &
    1526             :                                          zetc(1:npgfc(kset), kset), zetd(1:npgfd(lset), lset), &
    1527             :                                          primitive_integrals, &
    1528             :                                          potential_parameter, &
    1529             :                                          actual_x_data%neighbor_cells, screen_coeffs_set(jset, iset, jkind, ikind)%x, &
    1530             :                                          screen_coeffs_set(lset, kset, lkind, kkind)%x, eps_schwarz, &
    1531             :                                          max_contraction_val, cartesian_estimate, cell, neris_tmp, &
    1532             :                                          log10_pmax, log10_eps_schwarz, &
    1533             :                                          tmp_R_1, tmp_R_2, tmp_screen_pgf1, tmp_screen_pgf2, &
    1534             :                                          pgf_list_ij, pgf_list_kl, pgf_product_list, &
    1535             :                                          nsgfl_a(:, iset), nsgfl_b(:, jset), &
    1536             :                                          nsgfl_c(:, kset), nsgfl_d(:, lset), &
    1537             :                                          sphi_a_ext_set, &
    1538             :                                          sphi_b_ext_set, &
    1539             :                                          sphi_c_ext_set, &
    1540             :                                          sphi_d_ext_set, &
    1541             :                                          ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp, &
    1542             :                                          nimages, do_periodic, p_work)
    1543             : 
    1544             :                            nints = nsgfa(iset)*nsgfb(jset)*nsgfc(kset)*nsgfd(lset)
    1545             :                            neris_total = neris_total + nints
    1546             :                            nprim_ints = nprim_ints + neris_tmp
    1547             : !                           IF (cartesian_estimate == 0.0_dp) cartesian_estimate = TINY(cartesian_estimate)
    1548             : !                           estimate_to_store_int = EXPONENT(cartesian_estimate)
    1549             : !                           estimate_to_store_int = MAX(estimate_to_store_int, -15_int_8)
    1550             : !                           cartesian_estimate = SET_EXPONENT(1.0_dp, estimate_to_store_int+1)
    1551             : !                           IF (.NOT. buffer_overflow .AND. my_geo_change) THEN
    1552             : !                              IF (cartesian_estimate < eps_schwarz) THEN
    1553             : !                                 IF (.NOT. use_disk_storage) THEN
    1554             : !                                    CALL hfx_add_single_cache_element( &
    1555             : !                                       estimate_to_store_int, 6, &
    1556             : !                                       maxval_cache, maxval_container, memory_parameter%actual_memory_usage, &
    1557             : !                                       use_disk_storage, max_val_memory)
    1558             : !                                 ELSE
    1559             : !                                    CALL hfx_add_single_cache_element( &
    1560             : !                                       estimate_to_store_int, 6, &
    1561             : !                                       maxval_cache_disk, maxval_container_disk, memory_parameter%actual_memory_usage_disk, &
    1562             : !                                       use_disk_storage)
    1563             : !                                 END IF
    1564             : !                              END IF
    1565             : !                           END IF
    1566             : !
    1567             : !                           IF (cartesian_estimate < eps_schwarz) CYCLE
    1568             : 
    1569             :                            !! Compress the array for storage
    1570             :                            spherical_estimate = 0.0_dp
    1571             :                            DO i = 1, nints
    1572             :                               spherical_estimate = MAX(spherical_estimate, ABS(primitive_integrals(i)))
    1573             :                            END DO
    1574             : 
    1575             :                            IF (spherical_estimate == 0.0_dp) spherical_estimate = TINY(spherical_estimate)
    1576             :                            estimate_to_store_int = EXPONENT(spherical_estimate)
    1577             :                            estimate_to_store_int = MAX(estimate_to_store_int, -15_int_8)
    1578             : 
    1579             :                            IF (.NOT. buffer_overflow .AND. my_geo_change) THEN
    1580             :                               IF (.NOT. use_disk_storage) THEN
    1581             :                                  CALL hfx_add_single_cache_element( &
    1582             :                                     estimate_to_store_int, 6, &
    1583             :                                     maxval_cache, maxval_container, memory_parameter%actual_memory_usage, &
    1584             :                                     use_disk_storage, max_val_memory)
    1585             :                               ELSE
    1586             :                                  CALL hfx_add_single_cache_element( &
    1587             :                                     estimate_to_store_int, 6, &
    1588             :                                     maxval_cache_disk, maxval_container_disk, memory_parameter%actual_memory_usage_disk, &
    1589             :                                     use_disk_storage)
    1590             :                               END IF
    1591             :                            END IF
    1592             :                            spherical_estimate = SET_EXPONENT(1.0_dp, estimate_to_store_int + 1)
    1593             :                            IF (spherical_estimate*pmax_entry < eps_schwarz) CYCLE
    1594             :                            IF (.NOT. buffer_overflow) THEN
    1595             :                               nbits = EXPONENT(ANINT(spherical_estimate*pmax_entry/eps_storage)) + 1
    1596             : 
    1597             :                               ! In case of a tight eps_storage threshold the number of significant
    1598             :                               ! bits in the integer number NINT(value*pmax_entry/eps_storage) may
    1599             :                               ! exceed the width of the storage element. As the compression algorithm
    1600             :                               ! is designed for IEEE 754 double precision numbers, a 64-bit signed
    1601             :                               ! integer variable which is used to store the result of this float-to-
    1602             :                               ! integer conversion (we have no wish to use more memory for storing
    1603             :                               ! compressed ERIs than it is needed for uncompressed ERIs) may overflow.
    1604             :                               ! Abort with a meaningful message when it happens.
    1605             :                               !
    1606             :                               ! The magic number 63 stands for the number of magnitude bits
    1607             :                               ! (64 bits minus one sign bit).
    1608             :                               IF (nbits > 63) THEN
    1609             :                                  WRITE (eps_schwarz_min_str, '(ES10.3E2)') &
    1610             :                                     spherical_estimate*pmax_entry/ &
    1611             :                                     (SET_EXPONENT(1.0_dp, 63)*memory_parameter%eps_storage_scaling)
    1612             : 
    1613             :                                  WRITE (eps_scaling_str, '(ES10.3E2)') &
    1614             :                                     spherical_estimate*pmax_entry/(SET_EXPONENT(1.0_dp, 63)*eps_schwarz)
    1615             : 
    1616             :                                  CALL cp_abort(__LOCATION__, &
    1617             :                                                "Overflow during ERI's compression. Please use a larger "// &
    1618             :                                                "EPS_SCHWARZ threshold (above "//TRIM(ADJUSTL(eps_schwarz_min_str))// &
    1619             :                                                ") or increase the EPS_STORAGE_SCALING factor above "// &
    1620             :                                                TRIM(ADJUSTL(eps_scaling_str))//".")
    1621             :                               END IF
    1622             : 
    1623             :                               buffer_left = nints
    1624             :                               buffer_start = 1
    1625             :                               IF (.NOT. use_disk_storage) THEN
    1626             :                                  neris_incore = neris_incore + INT(nints, int_8)
    1627             : !                                 neris_incore = neris_incore+nints
    1628             :                               ELSE
    1629             :                                  neris_disk = neris_disk + INT(nints, int_8)
    1630             : !                                 neris_disk = neris_disk+nints
    1631             :                               END IF
    1632             :                               DO WHILE (buffer_left > 0)
    1633             :                                  buffer_size = MIN(buffer_left, CACHE_SIZE)
    1634             :                                  IF (.NOT. use_disk_storage) THEN
    1635             :                                     CALL hfx_add_mult_cache_elements(primitive_integrals(buffer_start), &
    1636             :                                                                      buffer_size, nbits, &
    1637             :                                                                      integral_caches(nbits), &
    1638             :                                                                      integral_containers(nbits), &
    1639             :                                                                      eps_storage, pmax_entry, &
    1640             :                                                                      memory_parameter%actual_memory_usage, &
    1641             :                                                                      use_disk_storage)
    1642             :                                  ELSE
    1643             :                                     CALL hfx_add_mult_cache_elements(primitive_integrals(buffer_start), &
    1644             :                                                                      buffer_size, nbits, &
    1645             :                                                                      integral_caches_disk(nbits), &
    1646             :                                                                      integral_containers_disk(nbits), &
    1647             :                                                                      eps_storage, pmax_entry, &
    1648             :                                                                      memory_parameter%actual_memory_usage_disk, &
    1649             :                                                                      use_disk_storage)
    1650             :                                  END IF
    1651             :                                  buffer_left = buffer_left - buffer_size
    1652             :                                  buffer_start = buffer_start + buffer_size
    1653             :                               END DO
    1654             :                            ELSE
    1655             :                               !! In order to be consistent with in-core part, round all the eris wrt. eps_schwarz
    1656             :                               DO i = 1, nints
    1657             :                                  primitive_integrals(i) = primitive_integrals(i)*pmax_entry
    1658             :                                  IF (ABS(primitive_integrals(i)) > eps_storage) THEN
    1659             :                                     primitive_integrals(i) = ANINT(primitive_integrals(i)/eps_storage, dp)*eps_storage/pmax_entry
    1660             :                                  ELSE
    1661             :                                     primitive_integrals(i) = 0.0_dp
    1662             :                                  END IF
    1663             :                               END DO
    1664             :                            END IF
    1665             :                         END IF
    1666             :                         !!!  DEBUG, print out primitive integrals and indices. Only works serial no OMP  !!!
    1667             :                         IF (.FALSE.) THEN
    1668             :                            CALL print_integrals( &
    1669             :                               iatom, jatom, katom, latom, shm_set_offset, shm_atomic_block_offset, &
    1670             :                               iset, jset, kset, lset, nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), primitive_integrals)
    1671             :                         END IF
    1672             :                         IF (.NOT. is_anti_symmetric) THEN
    1673             :                            !! Update Kohn-Sham matrix
    1674             :                            CALL update_fock_matrix( &
    1675             :                               nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
    1676             :                               fac, symm_fac, full_density_alpha(:, 1), full_ks_alpha(:, 1), &
    1677             :                               primitive_integrals, pbd_buf, pbc_buf, pad_buf, pac_buf, kbd_buf, &
    1678             :                               kbc_buf, kad_buf, kac_buf, iatom, jatom, katom, latom, &
    1679             :                               iset, jset, kset, lset, offset_bd_set, offset_bc_set, offset_ad_set, offset_ac_set, &
    1680             :                               atomic_offset_bd, atomic_offset_bc, atomic_offset_ad, atomic_offset_ac)
    1681             :                            IF (.NOT. treat_lsd_in_core) THEN
    1682             :                               IF (nspins == 2) THEN
    1683             :                                  CALL update_fock_matrix( &
    1684             :                                     nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
    1685             :                                     fac, symm_fac, full_density_beta(:, 1), full_ks_beta(:, 1), &
    1686             :                                     primitive_integrals, pbd_buf, pbc_buf, pad_buf, pac_buf, kbd_buf, &
    1687             :                                     kbc_buf, kad_buf, kac_buf, iatom, jatom, katom, latom, &
    1688             :                                     iset, jset, kset, lset, offset_bd_set, offset_bc_set, offset_ad_set, offset_ac_set, &
    1689             :                                     atomic_offset_bd, atomic_offset_bc, atomic_offset_ad, atomic_offset_ac)
    1690             :                               END IF
    1691             :                            END IF
    1692             :                         ELSE
    1693             :                            !! Update Kohn-Sham matrix
    1694             :                            CALL update_fock_matrix_as( &
    1695             :                               nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
    1696             :                               fac, symm_fac, full_density_alpha(:, 1), full_ks_alpha(:, 1), &
    1697             :                               primitive_integrals, pbd_buf, pbc_buf, pad_buf, pac_buf, kbd_buf, &
    1698             :                               kbc_buf, kad_buf, kac_buf, iatom, jatom, katom, latom, &
    1699             :                               iset, jset, kset, lset, offset_bd_set, offset_bc_set, offset_ad_set, offset_ac_set, &
    1700             :                               atomic_offset_bd, atomic_offset_bc, atomic_offset_ad, atomic_offset_ac)
    1701             :                            IF (.NOT. treat_lsd_in_core) THEN
    1702             :                               IF (nspins == 2) THEN
    1703             :                                  CALL update_fock_matrix_as( &
    1704             :                                     nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
    1705             :                                     fac, symm_fac, full_density_beta(:, 1), full_ks_beta(:, 1), &
    1706             :                                     primitive_integrals, pbd_buf, pbc_buf, pad_buf, pac_buf, kbd_buf, &
    1707             :                                     kbc_buf, kad_buf, kac_buf, iatom, jatom, katom, latom, &
    1708             :                                     iset, jset, kset, lset, offset_bd_set, offset_bc_set, offset_ad_set, offset_ac_set, &
    1709             :                                     atomic_offset_bd, atomic_offset_bc, atomic_offset_ad, atomic_offset_ac)
    1710             :                               END IF
    1711             :                            END IF
    1712             :                         END IF
    1713             :                      END DO ! i_set_list_kl
    1714             :                   END DO ! i_set_list_ij
    1715             :                   IF (do_disk_storage) THEN
    1716             :                      buffer_overflow = .TRUE.
    1717             :                   END IF
    1718             :                END DO !i_list_ij
    1719             :             END DO !i_list_kl
    1720             :          END DO atomic_blocks
    1721             :          bintime_stop = m_walltime()
    1722             :          IF (my_geo_change) THEN
    1723             :             distribution_energy%time_first_scf = bintime_stop - bintime_start
    1724             :          ELSE
    1725             :             distribution_energy%time_other_scf = &
    1726             :                distribution_energy%time_other_scf + bintime_stop - bintime_start
    1727             :          END IF
    1728             : !$OMP MASTER
    1729             :          CALL timestop(handle_bin)
    1730             : !$OMP END MASTER
    1731             :       END DO !bin
    1732             : 
    1733             : !$OMP MASTER
    1734             :       logger => cp_get_default_logger()
    1735             :       do_print_load_balance_info = .FALSE.
    1736             :       do_print_load_balance_info = BTEST(cp_print_key_should_output(logger%iter_info, hfx_section, &
    1737             :                                                                     "LOAD_BALANCE%PRINT/LOAD_BALANCE_INFO"), cp_p_file)
    1738             : !$OMP END MASTER
    1739             : !$OMP BARRIER
    1740             :       IF (do_print_load_balance_info) THEN
    1741             :          iw = -1
    1742             : !$OMP MASTER
    1743             :          iw = cp_print_key_unit_nr(logger, hfx_section, "LOAD_BALANCE%PRINT/LOAD_BALANCE_INFO", &
    1744             :                                    extension=".scfLog")
    1745             : !$OMP END MASTER
    1746             : 
    1747             :          CALL collect_load_balance_info(para_env, actual_x_data, iw, n_threads, i_thread, &
    1748             :                                         hfx_do_eval_energy)
    1749             : 
    1750             : !$OMP MASTER
    1751             :          CALL cp_print_key_finished_output(iw, logger, hfx_section, &
    1752             :                                            "LOAD_BALANCE%PRINT/LOAD_BALANCE_INFO")
    1753             : !$OMP END MASTER
    1754             :       END IF
    1755             : 
    1756             : !$OMP BARRIER
    1757             : !$OMP MASTER
    1758             :       CALL m_memory(memsize_after)
    1759             : !$OMP END MASTER
    1760             : !$OMP BARRIER
    1761             : 
    1762             :       DEALLOCATE (primitive_integrals)
    1763             : !$OMP BARRIER
    1764             :       !! Get some number about ERIS
    1765             : !$OMP ATOMIC
    1766             :       shm_neris_total = shm_neris_total + neris_total
    1767             : !$OMP ATOMIC
    1768             :       shm_neris_onthefly = shm_neris_onthefly + neris_onthefly
    1769             : !$OMP ATOMIC
    1770             :       shm_nprim_ints = shm_nprim_ints + nprim_ints
    1771             : 
    1772             :       storage_counter_integrals = memory_parameter%actual_memory_usage* &
    1773             :                                   memory_parameter%cache_size
    1774             :       stor_count_int_disk = memory_parameter%actual_memory_usage_disk* &
    1775             :                             memory_parameter%cache_size
    1776             :       stor_count_max_val = max_val_memory*memory_parameter%cache_size
    1777             : !$OMP ATOMIC
    1778             :       shm_storage_counter_integrals = shm_storage_counter_integrals + storage_counter_integrals
    1779             : !$OMP ATOMIC
    1780             :       shm_stor_count_int_disk = shm_stor_count_int_disk + stor_count_int_disk
    1781             : !$OMP ATOMIC
    1782             :       shm_neris_incore = shm_neris_incore + neris_incore
    1783             : !$OMP ATOMIC
    1784             :       shm_neris_disk = shm_neris_disk + neris_disk
    1785             : !$OMP ATOMIC
    1786             :       shm_stor_count_max_val = shm_stor_count_max_val + stor_count_max_val
    1787             : !$OMP BARRIER
    1788             : 
    1789             :       ! ** Calculate how much memory has already been used (might be needed for in-core forces
    1790             : !$OMP MASTER
    1791             :       shm_mem_compression_counter = 0
    1792             :       DO i = 1, n_threads
    1793             : !$OMP       ATOMIC READ
    1794             :          tmp_i4 = x_data(irep, i)%memory_parameter%actual_memory_usage
    1795             :          shm_mem_compression_counter = shm_mem_compression_counter + &
    1796             :                                        tmp_i4*memory_parameter%cache_size
    1797             :       END DO
    1798             : !$OMP END MASTER
    1799             : !$OMP BARRIER
    1800             :       actual_x_data%memory_parameter%final_comp_counter_energy = shm_mem_compression_counter
    1801             : 
    1802             : !$OMP MASTER
    1803             :       !! Calculate the exchange energies from the Kohn-Sham matrix. Before we can go on, we have to symmetrize.
    1804             :       ene_x_aa = 0.0_dp
    1805             :       ene_x_bb = 0.0_dp
    1806             : 
    1807             :       mb_size_p = shm_block_offset(ncpu + 1)/1024/128
    1808             :       mb_size_f = shm_block_offset(ncpu + 1)/1024/128
    1809             :       IF (.NOT. treat_lsd_in_core) THEN
    1810             :          IF (nspins == 2) THEN
    1811             :             mb_size_f = mb_size_f*2
    1812             :             mb_size_p = mb_size_p*2
    1813             :          END IF
    1814             :       END IF
    1815             :       !! size of primitive_integrals(not shared)
    1816             :       mb_size_buffers = INT(nsgf_max, int_8)**4*n_threads
    1817             :       !! fock density buffers (not shared)
    1818             :       mb_size_buffers = mb_size_buffers + INT(nsgf_max, int_8)**2*n_threads
    1819             :       subtr_size_mb = subtr_size_mb + 8_int_8*nsgf_max**2*n_threads
    1820             :       !! size of screening functions (shared)
    1821             :       mb_size_buffers = mb_size_buffers + max_pgf**2*max_set**2*nkind**2 &
    1822             :                         + max_set**2*nkind**2 &
    1823             :                         + nkind**2 &
    1824             :                         + max_pgf**2*max_set**2*nkind**2
    1825             :       !! is_assoc (shared)
    1826             :       mb_size_buffers = mb_size_buffers + natom**2
    1827             :       ! ** pmax_atom (shared)
    1828             :       IF (do_p_screening) THEN
    1829             :          mb_size_buffers = mb_size_buffers + natom**2
    1830             :       END IF
    1831             :       IF (screening_parameter%do_p_screening_forces) THEN
    1832             :          IF (memory_parameter%treat_forces_in_core) THEN
    1833             :             mb_size_buffers = mb_size_buffers + natom**2
    1834             :          END IF
    1835             :       END IF
    1836             :       ! ** Initial P only MAX(alpha,beta) (shared)
    1837             :       IF (do_p_screening .OR. screening_parameter%do_p_screening_forces) THEN
    1838             :          mb_size_buffers = mb_size_buffers + memory_parameter%size_p_screen
    1839             :       END IF
    1840             :       ! ** In core forces require their own initial P
    1841             :       IF (screening_parameter%do_p_screening_forces) THEN
    1842             :          IF (memory_parameter%treat_forces_in_core) THEN
    1843             :             mb_size_buffers = mb_size_buffers + memory_parameter%size_p_screen
    1844             :          END IF
    1845             :       END IF
    1846             : 
    1847             :       !! mb
    1848             :       mb_size_buffers = mb_size_buffers/1024/128
    1849             : 
    1850             :       afac = 1.0_dp
    1851             :       IF (is_anti_symmetric) afac = -1.0_dp
    1852             :       CALL timestop(handle_main)
    1853             :       ene_x_aa_diag = 0.0_dp
    1854             :       ene_x_bb_diag = 0.0_dp
    1855             :       DO iatom = 1, natom
    1856             :          ikind = kind_of(iatom)
    1857             :          nseta = basis_parameter(ikind)%nset
    1858             :          nsgfa => basis_parameter(ikind)%nsgf
    1859             :          jatom = iatom
    1860             :          jkind = kind_of(jatom)
    1861             :          nsetb = basis_parameter(jkind)%nset
    1862             :          nsgfb => basis_parameter(jkind)%nsgf
    1863             :          act_atomic_block_offset = shm_atomic_block_offset(jatom, iatom)
    1864             :          DO img = 1, nkimages
    1865             :             DO iset = 1, nseta
    1866             :                DO jset = 1, nsetb
    1867             :                   act_set_offset = shm_set_offset(jset, iset, jkind, ikind)
    1868             :                   i = act_set_offset + act_atomic_block_offset - 1
    1869             :                   DO ma = 1, nsgfa(iset)
    1870             :                      j = shm_set_offset(iset, jset, jkind, ikind) + act_atomic_block_offset - 1 + ma - 1
    1871             :                      DO mb = 1, nsgfb(jset)
    1872             :                         IF (i > j) THEN
    1873             :                            full_ks_alpha(i, img) = (full_ks_alpha(i, img) + full_ks_alpha(j, img)*afac)
    1874             :                            full_ks_alpha(j, img) = full_ks_alpha(i, img)*afac
    1875             :                            IF (.NOT. treat_lsd_in_core .AND. nspins == 2) THEN
    1876             :                               full_ks_beta(i, img) = (full_ks_beta(i, img) + full_ks_beta(j, img)*afac)
    1877             :                               full_ks_beta(j, img) = full_ks_beta(i, img)*afac
    1878             :                            END IF
    1879             :                         END IF
    1880             :                         ! ** For adiabatically rescaled functionals we need the energy coming from the diagonal elements
    1881             :                         IF (i == j) THEN
    1882             :                            ene_x_aa_diag = ene_x_aa_diag + full_ks_alpha(i, img)*full_density_alpha(i, img)
    1883             :                            IF (.NOT. treat_lsd_in_core .AND. nspins == 2) THEN
    1884             :                               ene_x_bb_diag = ene_x_bb_diag + full_ks_beta(i, img)*full_density_beta(i, img)
    1885             :                            END IF
    1886             :                         END IF
    1887             :                         i = i + 1
    1888             :                         j = j + nsgfa(iset)
    1889             :                      END DO
    1890             :                   END DO
    1891             :                END DO
    1892             :             END DO
    1893             :          END DO
    1894             :       END DO
    1895             : 
    1896             :       CALL para_env%sync()
    1897             :       afac = 1.0_dp
    1898             :       IF (is_anti_symmetric) afac = 0._dp
    1899             :       IF (distribute_fock_matrix) THEN
    1900             :          !! Distribute the current KS-matrix to all the processes
    1901             :          CALL timeset(routineN//"_dist_KS", handle_dist_ks)
    1902             :          DO img = 1, nkimages
    1903             :             CALL distribute_ks_matrix(para_env, full_ks_alpha(:, img), ks_matrix(ispin, img)%matrix, shm_number_of_p_entries, &
    1904             :                                       shm_block_offset, kind_of, basis_parameter, &
    1905             :                                       off_diag_fac=0.5_dp, diag_fac=afac)
    1906             :          END DO
    1907             : 
    1908             :          NULLIFY (full_ks_alpha)
    1909             :          DEALLOCATE (shm_master_x_data%full_ks_alpha)
    1910             :          IF (.NOT. treat_lsd_in_core) THEN
    1911             :             IF (nspins == 2) THEN
    1912             :                DO img = 1, nkimages
    1913             :                   CALL distribute_ks_matrix(para_env, full_ks_beta(:, img), ks_matrix(2, img)%matrix, shm_number_of_p_entries, &
    1914             :                                             shm_block_offset, kind_of, basis_parameter, &
    1915             :                                             off_diag_fac=0.5_dp, diag_fac=afac)
    1916             :                END DO
    1917             :                NULLIFY (full_ks_beta)
    1918             :                DEALLOCATE (shm_master_x_data%full_ks_beta)
    1919             :             END IF
    1920             :          END IF
    1921             :          CALL timestop(handle_dist_ks)
    1922             :       END IF
    1923             : 
    1924             :       IF (distribute_fock_matrix) THEN
    1925             :          !! ** Calculate the exchange energy
    1926             :          ene_x_aa = 0.0_dp
    1927             :          DO img = 1, nkimages
    1928             :             CALL dbcsr_dot(ks_matrix(ispin, img)%matrix, rho_ao(ispin, img)%matrix, &
    1929             :                            etmp)
    1930             :             ene_x_aa = ene_x_aa + etmp
    1931             :          END DO
    1932             :          !for ADMMS, we need the exchange matrix k(d) for both spins
    1933             :          IF (dft_control%do_admm) THEN
    1934             :             CPASSERT(nkimages == 1)
    1935             :             CALL dbcsr_copy(matrix_ks_aux_fit_hfx(ispin)%matrix, ks_matrix(ispin, 1)%matrix, &
    1936             :                             name="HF exch. part of matrix_ks_aux_fit for ADMMS")
    1937             :          END IF
    1938             : 
    1939             :          ene_x_bb = 0.0_dp
    1940             :          IF (nspins == 2 .AND. .NOT. treat_lsd_in_core) THEN
    1941             :             DO img = 1, nkimages
    1942             :                CALL dbcsr_dot(ks_matrix(2, img)%matrix, rho_ao(2, img)%matrix, &
    1943             :                               etmp)
    1944             :                ene_x_bb = ene_x_bb + etmp
    1945             :             END DO
    1946             :             !for ADMMS, we need the exchange matrix k(d) for both spins
    1947             :             IF (dft_control%do_admm) THEN
    1948             :                CPASSERT(nkimages == 1)
    1949             :                CALL dbcsr_copy(matrix_ks_aux_fit_hfx(2)%matrix, ks_matrix(2, 1)%matrix, &
    1950             :                                name="HF exch. part of matrix_ks_aux_fit for ADMMS")
    1951             :             END IF
    1952             :          END IF
    1953             : 
    1954             :          !! Update energy type
    1955             :          ehfx = 0.5_dp*(ene_x_aa + ene_x_bb)
    1956             :       ELSE
    1957             :          ! ** It is easier to correct the following expression by the diagonal energy contribution,
    1958             :          ! ** than explicitly going throuhg the diagonal elements
    1959             :          DO img = 1, nkimages
    1960             :             DO pa = 1, SIZE(full_ks_alpha, 1)
    1961             :                ene_x_aa = ene_x_aa + full_ks_alpha(pa, img)*full_density_alpha(pa, img)
    1962             :             END DO
    1963             :          END DO
    1964             :          ! ** Now correct
    1965             :          ene_x_aa = (ene_x_aa + ene_x_aa_diag)*0.5_dp
    1966             :          IF (nspins == 2) THEN
    1967             :             DO img = 1, nkimages
    1968             :                DO pa = 1, SIZE(full_ks_beta, 1)
    1969             :                   ene_x_bb = ene_x_bb + full_ks_beta(pa, img)*full_density_beta(pa, img)
    1970             :                END DO
    1971             :             END DO
    1972             :             ! ** Now correct
    1973             :             ene_x_bb = (ene_x_bb + ene_x_bb_diag)*0.5_dp
    1974             :          END IF
    1975             :          CALL para_env%sum(ene_x_aa)
    1976             :          IF (nspins == 2) CALL para_env%sum(ene_x_bb)
    1977             :          ehfx = 0.5_dp*(ene_x_aa + ene_x_bb)
    1978             :       END IF
    1979             : 
    1980             :       !! Print some memeory information if this is the first step
    1981             :       IF (my_geo_change) THEN
    1982             :          tmp_i8(1:8) = (/shm_storage_counter_integrals, shm_neris_onthefly, shm_neris_incore, shm_neris_disk, &
    1983             :                          shm_neris_total, shm_stor_count_int_disk, shm_nprim_ints, shm_stor_count_max_val/)
    1984             :          CALL para_env%sum(tmp_i8)
    1985             :          shm_storage_counter_integrals = tmp_i8(1)
    1986             :          shm_neris_onthefly = tmp_i8(2)
    1987             :          shm_neris_incore = tmp_i8(3)
    1988             :          shm_neris_disk = tmp_i8(4)
    1989             :          shm_neris_total = tmp_i8(5)
    1990             :          shm_stor_count_int_disk = tmp_i8(6)
    1991             :          shm_nprim_ints = tmp_i8(7)
    1992             :          shm_stor_count_max_val = tmp_i8(8)
    1993             :          CALL para_env%max(memsize_after)
    1994             :          mem_eris = (shm_storage_counter_integrals + 128*1024 - 1)/1024/128
    1995             :          compression_factor = REAL(shm_neris_incore, dp)/REAL(shm_storage_counter_integrals, dp)
    1996             :          mem_eris_disk = (shm_stor_count_int_disk + 128*1024 - 1)/1024/128
    1997             :          compression_factor_disk = REAL(shm_neris_disk, dp)/REAL(shm_stor_count_int_disk, dp)
    1998             :          mem_max_val = (shm_stor_count_max_val + 128*1024 - 1)/1024/128
    1999             : 
    2000             :          IF (shm_neris_incore == 0) THEN
    2001             :             mem_eris = 0
    2002             :             compression_factor = 0.0_dp
    2003             :          END IF
    2004             :          IF (shm_neris_disk == 0) THEN
    2005             :             mem_eris_disk = 0
    2006             :             compression_factor_disk = 0.0_dp
    2007             :          END IF
    2008             : 
    2009             :          iw = cp_print_key_unit_nr(logger, hfx_section, "HF_INFO", &
    2010             :                                    extension=".scfLog")
    2011             :          IF (iw > 0) THEN
    2012             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2013             :                "HFX_MEM_INFO| Number of cart. primitive ERI's calculated:      ", shm_nprim_ints
    2014             : 
    2015             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2016             :                "HFX_MEM_INFO| Number of sph. ERI's calculated:           ", shm_neris_total
    2017             : 
    2018             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2019             :                "HFX_MEM_INFO| Number of sph. ERI's stored in-core:        ", shm_neris_incore
    2020             : 
    2021             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2022             :                "HFX_MEM_INFO| Number of sph. ERI's stored on disk:        ", shm_neris_disk
    2023             : 
    2024             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2025             :                "HFX_MEM_INFO| Number of sph. ERI's calculated on the fly: ", shm_neris_onthefly
    2026             : 
    2027             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2028             :                "HFX_MEM_INFO| Total memory consumption ERI's RAM [MiB]:            ", mem_eris
    2029             : 
    2030             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2031             :                "HFX_MEM_INFO| Whereof max-vals [MiB]:            ", mem_max_val
    2032             : 
    2033             :             WRITE (UNIT=iw, FMT="((T3,A,T60,F21.2))") &
    2034             :                "HFX_MEM_INFO| Total compression factor ERI's RAM:                  ", compression_factor
    2035             : 
    2036             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2037             :                "HFX_MEM_INFO| Total memory consumption ERI's disk [MiB]:       ", mem_eris_disk
    2038             : 
    2039             :             WRITE (UNIT=iw, FMT="((T3,A,T60,F21.2))") &
    2040             :                "HFX_MEM_INFO| Total compression factor ERI's disk:             ", compression_factor_disk
    2041             : 
    2042             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2043             :                "HFX_MEM_INFO| Size of density/Fock matrix [MiB]:             ", 2_int_8*mb_size_p
    2044             : 
    2045             :             IF (do_periodic) THEN
    2046             :                WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2047             :                   "HFX_MEM_INFO| Size of buffers [MiB]:             ", mb_size_buffers
    2048             :                WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2049             :                   "HFX_MEM_INFO| Number of periodic image cells considered: ", SIZE(shm_master_x_data%neighbor_cells)
    2050             :             ELSE
    2051             :                WRITE (UNIT=iw, FMT="((T3,A,T60,I21))") &
    2052             :                   "HFX_MEM_INFO| Size of buffers [MiB]:             ", mb_size_buffers
    2053             :             END IF
    2054             :             WRITE (UNIT=iw, FMT="((T3,A,T60,I21),/)") &
    2055             :                "HFX_MEM_INFO| Est. max. program size after HFX  [MiB]:", memsize_after/(1024*1024)
    2056             :             CALL m_flush(iw)
    2057             :          END IF
    2058             : 
    2059             :          CALL cp_print_key_finished_output(iw, logger, hfx_section, &
    2060             :                                            "HF_INFO")
    2061             :       END IF
    2062             : !$OMP END MASTER
    2063             : 
    2064             :       !! flush caches if the geometry changed
    2065             :       IF (do_dynamic_load_balancing) THEN
    2066             :          my_bin_size = SIZE(actual_x_data%distribution_energy)
    2067             :       ELSE
    2068             :          my_bin_size = 1
    2069             :       END IF
    2070             : 
    2071             :       IF (my_geo_change) THEN
    2072             :          IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
    2073             :             DO bin = 1, my_bin_size
    2074             :                maxval_cache => actual_x_data%store_ints%maxval_cache(bin)
    2075             :                maxval_container => actual_x_data%store_ints%maxval_container(bin)
    2076             :                integral_caches => actual_x_data%store_ints%integral_caches(:, bin)
    2077             :                integral_containers => actual_x_data%store_ints%integral_containers(:, bin)
    2078             :                CALL hfx_flush_last_cache(bits_max_val, maxval_cache, maxval_container, memory_parameter%actual_memory_usage, &
    2079             :                                          .FALSE.)
    2080             :                DO i = 1, 64
    2081             :                   CALL hfx_flush_last_cache(i, integral_caches(i), integral_containers(i), &
    2082             :                                             memory_parameter%actual_memory_usage, .FALSE.)
    2083             :                END DO
    2084             :             END DO
    2085             :          END IF
    2086             :       END IF
    2087             :       !! reset all caches except we calculate all on the fly
    2088             :       IF (.NOT. memory_parameter%do_all_on_the_fly) THEN
    2089             :          DO bin = 1, my_bin_size
    2090             :             maxval_cache => actual_x_data%store_ints%maxval_cache(bin)
    2091             :             maxval_container => actual_x_data%store_ints%maxval_container(bin)
    2092             :             integral_caches => actual_x_data%store_ints%integral_caches(:, bin)
    2093             :             integral_containers => actual_x_data%store_ints%integral_containers(:, bin)
    2094             : 
    2095             :             CALL hfx_reset_cache_and_container(maxval_cache, maxval_container, memory_parameter%actual_memory_usage, .FALSE.)
    2096             :             DO i = 1, 64
    2097             :                CALL hfx_reset_cache_and_container(integral_caches(i), integral_containers(i), &
    2098             :                                                   memory_parameter%actual_memory_usage, &
    2099             :                                                   .FALSE.)
    2100             :             END DO
    2101             :          END DO
    2102             :       END IF
    2103             : 
    2104             :       !! Since the I/O routines are no thread-safe, i.e. the procedure to get the unit number, put a lock here
    2105             : !$OMP CRITICAL(hfxenergy_out_critical)
    2106             :       IF (do_disk_storage) THEN
    2107             :          !! flush caches if the geometry changed
    2108             :          IF (my_geo_change) THEN
    2109             :             CALL hfx_flush_last_cache(bits_max_val, maxval_cache_disk, maxval_container_disk, &
    2110             :                                       memory_parameter%actual_memory_usage_disk, .TRUE.)
    2111             :             DO i = 1, 64
    2112             :                CALL hfx_flush_last_cache(i, integral_caches_disk(i), integral_containers_disk(i), &
    2113             :                                          memory_parameter%actual_memory_usage_disk, .TRUE.)
    2114             :             END DO
    2115             :          END IF
    2116             :          !! reset all caches except we calculate all on the fly
    2117             :          CALL hfx_reset_cache_and_container(maxval_cache_disk, maxval_container_disk, memory_parameter%actual_memory_usage_disk, &
    2118             :                                             do_disk_storage)
    2119             :          DO i = 1, 64
    2120             :             CALL hfx_reset_cache_and_container(integral_caches_disk(i), integral_containers_disk(i), &
    2121             :                                                memory_parameter%actual_memory_usage_disk, do_disk_storage)
    2122             :          END DO
    2123             :       END IF
    2124             : !$OMP END CRITICAL(hfxenergy_out_critical)
    2125             : !$OMP BARRIER
    2126             :       !! Clean up
    2127             :       DEALLOCATE (last_sgf_global)
    2128             : !$OMP MASTER
    2129             :       DEALLOCATE (full_density_alpha)
    2130             :       IF (.NOT. treat_lsd_in_core) THEN
    2131             :          IF (nspins == 2) THEN
    2132             :             DEALLOCATE (full_density_beta)
    2133             :          END IF
    2134             :       END IF
    2135             :       IF (do_dynamic_load_balancing) THEN
    2136             :          DEALLOCATE (shm_master_x_data%task_list)
    2137             :       END IF
    2138             : !$OMP END MASTER
    2139             :       DEALLOCATE (pbd_buf, pbc_buf, pad_buf, pac_buf)
    2140             :       DEALLOCATE (kbd_buf, kbc_buf, kad_buf, kac_buf)
    2141             :       DEALLOCATE (set_list_ij, set_list_kl)
    2142             : 
    2143             :       DO i = 1, max_pgf**2
    2144             :          DEALLOCATE (pgf_list_ij(i)%image_list)
    2145             :          DEALLOCATE (pgf_list_kl(i)%image_list)
    2146             :       END DO
    2147             : 
    2148             :       DEALLOCATE (pgf_list_ij)
    2149             :       DEALLOCATE (pgf_list_kl)
    2150             :       DEALLOCATE (pgf_product_list)
    2151             : 
    2152             :       DEALLOCATE (max_contraction, kind_of)
    2153             : 
    2154             :       DEALLOCATE (ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp)
    2155             : 
    2156             :       DEALLOCATE (nimages)
    2157             : 
    2158             : !$OMP BARRIER
    2159             : !$OMP END PARALLEL
    2160             : 
    2161       34235 :       CALL timestop(handle)
    2162    71003390 :    END SUBROUTINE integrate_four_center
    2163             : 
    2164             : ! **************************************************************************************************
    2165             : !> \brief calculates two-electron integrals of a quartet/shell using the library
    2166             : !>      lib_int in the periodic case
    2167             : !> \param lib ...
    2168             : !> \param ra ...
    2169             : !> \param rb ...
    2170             : !> \param rc ...
    2171             : !> \param rd ...
    2172             : !> \param npgfa ...
    2173             : !> \param npgfb ...
    2174             : !> \param npgfc ...
    2175             : !> \param npgfd ...
    2176             : !> \param la_min ...
    2177             : !> \param la_max ...
    2178             : !> \param lb_min ...
    2179             : !> \param lb_max ...
    2180             : !> \param lc_min ...
    2181             : !> \param lc_max ...
    2182             : !> \param ld_min ...
    2183             : !> \param ld_max ...
    2184             : !> \param nsgfa ...
    2185             : !> \param nsgfb ...
    2186             : !> \param nsgfc ...
    2187             : !> \param nsgfd ...
    2188             : !> \param sphi_a_u1 ...
    2189             : !> \param sphi_a_u2 ...
    2190             : !> \param sphi_a_u3 ...
    2191             : !> \param sphi_b_u1 ...
    2192             : !> \param sphi_b_u2 ...
    2193             : !> \param sphi_b_u3 ...
    2194             : !> \param sphi_c_u1 ...
    2195             : !> \param sphi_c_u2 ...
    2196             : !> \param sphi_c_u3 ...
    2197             : !> \param sphi_d_u1 ...
    2198             : !> \param sphi_d_u2 ...
    2199             : !> \param sphi_d_u3 ...
    2200             : !> \param zeta ...
    2201             : !> \param zetb ...
    2202             : !> \param zetc ...
    2203             : !> \param zetd ...
    2204             : !> \param primitive_integrals array of primitive_integrals
    2205             : !> \param potential_parameter contains info for libint
    2206             : !> \param neighbor_cells Periodic images
    2207             : !> \param screen1 set based coefficients for near field screening
    2208             : !> \param screen2 set based coefficients for near field screening
    2209             : !> \param eps_schwarz threshold
    2210             : !> \param max_contraction_val maximum multiplication factor for cart -> sph
    2211             : !> \param cart_estimate maximum calculated integral value
    2212             : !> \param cell cell
    2213             : !> \param neris_tmp counter for calculated cart integrals
    2214             : !> \param log10_pmax logarithm of initial p matrix max element
    2215             : !> \param log10_eps_schwarz log of threshold
    2216             : !> \param R1_pgf coefficients for radii of product distribution function
    2217             : !> \param R2_pgf coefficients for radii of product distribution function
    2218             : !> \param pgf1 schwarz coefficients pgf basid
    2219             : !> \param pgf2 schwarz coefficients pgf basid
    2220             : !> \param pgf_list_ij ...
    2221             : !> \param pgf_list_kl ...
    2222             : !> \param pgf_product_list ...
    2223             : !> \param nsgfl_a ...
    2224             : !> \param nsgfl_b ...
    2225             : !> \param nsgfl_c ...
    2226             : !> \param nsgfl_d ...
    2227             : !> \param sphi_a_ext ...
    2228             : !> \param sphi_b_ext ...
    2229             : !> \param sphi_c_ext ...
    2230             : !> \param sphi_d_ext ...
    2231             : !> \param ee_work ...
    2232             : !> \param ee_work2 ...
    2233             : !> \param ee_buffer1 ...
    2234             : !> \param ee_buffer2 ...
    2235             : !> \param ee_primitives_tmp ...
    2236             : !> \param nimages ...
    2237             : !> \param do_periodic ...
    2238             : !> \param p_work ...
    2239             : !> \par History
    2240             : !>      11.2006 created [Manuel Guidon]
    2241             : !>      02.2009 completely rewritten screening part [Manuel Guidon]
    2242             : !> \author Manuel Guidon
    2243             : ! **************************************************************************************************
    2244     7016573 :    SUBROUTINE coulomb4(lib, ra, rb, rc, rd, npgfa, npgfb, npgfc, npgfd, &
    2245             :                        la_min, la_max, lb_min, lb_max, &
    2246             :                        lc_min, lc_max, ld_min, ld_max, nsgfa, nsgfb, nsgfc, nsgfd, &
    2247             :                        sphi_a_u1, sphi_a_u2, sphi_a_u3, &
    2248             :                        sphi_b_u1, sphi_b_u2, sphi_b_u3, &
    2249             :                        sphi_c_u1, sphi_c_u2, sphi_c_u3, &
    2250             :                        sphi_d_u1, sphi_d_u2, sphi_d_u3, &
    2251     7016573 :                        zeta, zetb, zetc, zetd, &
    2252     7016573 :                        primitive_integrals, &
    2253             :                        potential_parameter, neighbor_cells, &
    2254             :                        screen1, screen2, eps_schwarz, max_contraction_val, &
    2255             :                        cart_estimate, cell, neris_tmp, log10_pmax, &
    2256             :                        log10_eps_schwarz, R1_pgf, R2_pgf, pgf1, pgf2, &
    2257             :                        pgf_list_ij, pgf_list_kl, &
    2258             :                        pgf_product_list, &
    2259     7016573 :                        nsgfl_a, nsgfl_b, nsgfl_c, &
    2260     7016573 :                        nsgfl_d, &
    2261     7016573 :                        sphi_a_ext, sphi_b_ext, sphi_c_ext, sphi_d_ext, &
    2262             :                        ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp, &
    2263             :                        nimages, do_periodic, p_work)
    2264             : 
    2265             :       TYPE(cp_libint_t)                                  :: lib
    2266             :       REAL(dp), INTENT(IN)                               :: ra(3), rb(3), rc(3), rd(3)
    2267             :       INTEGER, INTENT(IN) :: npgfa, npgfb, npgfc, npgfd, la_min, la_max, lb_min, lb_max, lc_min, &
    2268             :                              lc_max, ld_min, ld_max, nsgfa, nsgfb, nsgfc, nsgfd, sphi_a_u1, sphi_a_u2, sphi_a_u3, &
    2269             :                              sphi_b_u1, sphi_b_u2, sphi_b_u3, sphi_c_u1, sphi_c_u2, sphi_c_u3, sphi_d_u1, sphi_d_u2, &
    2270             :                              sphi_d_u3
    2271             :       REAL(dp), DIMENSION(1:npgfa), INTENT(IN)           :: zeta
    2272             :       REAL(dp), DIMENSION(1:npgfb), INTENT(IN)           :: zetb
    2273             :       REAL(dp), DIMENSION(1:npgfc), INTENT(IN)           :: zetc
    2274             :       REAL(dp), DIMENSION(1:npgfd), INTENT(IN)           :: zetd
    2275             :       REAL(dp), DIMENSION(nsgfa, nsgfb, nsgfc, nsgfd)    :: primitive_integrals
    2276             :       TYPE(hfx_potential_type)                           :: potential_parameter
    2277             :       TYPE(hfx_cell_type), DIMENSION(:), POINTER         :: neighbor_cells
    2278             :       REAL(dp), INTENT(IN)                               :: screen1(2), screen2(2), eps_schwarz, &
    2279             :                                                             max_contraction_val
    2280             :       REAL(dp)                                           :: cart_estimate
    2281             :       TYPE(cell_type), POINTER                           :: cell
    2282             :       INTEGER(int_8)                                     :: neris_tmp
    2283             :       REAL(dp), INTENT(IN)                               :: log10_pmax, log10_eps_schwarz
    2284             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
    2285             :          POINTER                                         :: R1_pgf, R2_pgf, pgf1, pgf2
    2286             :       TYPE(hfx_pgf_list), DIMENSION(*)                   :: pgf_list_ij, pgf_list_kl
    2287             :       TYPE(hfx_pgf_product_list), ALLOCATABLE, &
    2288             :          DIMENSION(:), INTENT(INOUT)                     :: pgf_product_list
    2289             :       INTEGER, DIMENSION(0:), INTENT(IN)                 :: nsgfl_a, nsgfl_b, nsgfl_c, nsgfl_d
    2290             :       REAL(dp), INTENT(IN) :: sphi_a_ext(sphi_a_u1, sphi_a_u2, sphi_a_u3), &
    2291             :                               sphi_b_ext(sphi_b_u1, sphi_b_u2, sphi_b_u3), sphi_c_ext(sphi_c_u1, sphi_c_u2, sphi_c_u3), &
    2292             :                               sphi_d_ext(sphi_d_u1, sphi_d_u2, sphi_d_u3)
    2293             :       REAL(dp), DIMENSION(*)                             :: ee_work, ee_work2, ee_buffer1, &
    2294             :                                                             ee_buffer2, ee_primitives_tmp
    2295             :       INTEGER, DIMENSION(*)                              :: nimages
    2296             :       LOGICAL, INTENT(IN)                                :: do_periodic
    2297             :       REAL(dp), DIMENSION(:), POINTER                    :: p_work
    2298             : 
    2299             :       INTEGER :: ipgf, jpgf, kpgf, la, lb, lc, ld, list_ij, list_kl, lpgf, max_l, ncoa, ncob, &
    2300             :                  ncoc, ncod, nelements_ij, nelements_kl, nproducts, nsgfla, nsgflb, nsgflc, nsgfld, nsoa, &
    2301             :                  nsob, nsoc, nsod, s_offset_a, s_offset_b, s_offset_c, s_offset_d
    2302             :       REAL(dp)                                           :: EtaInv, tmp_max, ZetaInv
    2303             : 
    2304             :       CALL build_pair_list_pgf(npgfa, npgfb, pgf_list_ij, zeta, zetb, screen1, screen2, &
    2305             :                                pgf1, R1_pgf, log10_pmax, log10_eps_schwarz, ra, rb, &
    2306             :                                nelements_ij, &
    2307     7016573 :                                neighbor_cells, nimages, do_periodic)
    2308             :       CALL build_pair_list_pgf(npgfc, npgfd, pgf_list_kl, zetc, zetd, screen2, screen1, &
    2309             :                                pgf2, R2_pgf, log10_pmax, log10_eps_schwarz, rc, rd, &
    2310             :                                nelements_kl, &
    2311     7016573 :                                neighbor_cells, nimages, do_periodic)
    2312             : 
    2313     7016573 :       cart_estimate = 0.0_dp
    2314     7016573 :       neris_tmp = 0
    2315   479755951 :       primitive_integrals = 0.0_dp
    2316     7016573 :       max_l = la_max + lb_max + lc_max + ld_max
    2317    23683142 :       DO list_ij = 1, nelements_ij
    2318    16666569 :          ZetaInv = pgf_list_ij(list_ij)%ZetaInv
    2319    16666569 :          ipgf = pgf_list_ij(list_ij)%ipgf
    2320    16666569 :          jpgf = pgf_list_ij(list_ij)%jpgf
    2321             : 
    2322    85286365 :          DO list_kl = 1, nelements_kl
    2323    61603223 :             EtaInv = pgf_list_kl(list_kl)%ZetaInv
    2324    61603223 :             kpgf = pgf_list_kl(list_kl)%ipgf
    2325    61603223 :             lpgf = pgf_list_kl(list_kl)%jpgf
    2326             : 
    2327             :             CALL build_pgf_product_list(pgf_list_ij(list_ij), pgf_list_kl(list_kl), pgf_product_list, &
    2328             :                                         nproducts, log10_pmax, log10_eps_schwarz, neighbor_cells, cell, &
    2329    61603223 :                                         potential_parameter, max_l, do_periodic)
    2330             : 
    2331    61603223 :             s_offset_a = 0
    2332   151446538 :             DO la = la_min, la_max
    2333    73176746 :                s_offset_b = 0
    2334    73176746 :                ncoa = nco(la)
    2335    73176746 :                nsgfla = nsgfl_a(la)
    2336    73176746 :                nsoa = nso(la)
    2337             : 
    2338   156574258 :                DO lb = lb_min, lb_max
    2339    83397512 :                   s_offset_c = 0
    2340    83397512 :                   ncob = nco(lb)
    2341    83397512 :                   nsgflb = nsgfl_b(lb)
    2342    83397512 :                   nsob = nso(lb)
    2343             : 
    2344   196341204 :                   DO lc = lc_min, lc_max
    2345   112943692 :                      s_offset_d = 0
    2346   112943692 :                      ncoc = nco(lc)
    2347   112943692 :                      nsgflc = nsgfl_c(lc)
    2348   112943692 :                      nsoc = nso(lc)
    2349             : 
    2350   264419122 :                      DO ld = ld_min, ld_max
    2351   151475430 :                         ncod = nco(ld)
    2352   151475430 :                         nsgfld = nsgfl_d(ld)
    2353   151475430 :                         nsod = nso(ld)
    2354             : 
    2355   151475430 :                         tmp_max = 0.0_dp
    2356             :                         CALL evaluate_eri(lib, nproducts, pgf_product_list, &
    2357             :                                           la, lb, lc, ld, &
    2358             :                                           ncoa, ncob, ncoc, ncod, &
    2359             :                                           nsgfa, nsgfb, nsgfc, nsgfd, &
    2360             :                                           primitive_integrals, &
    2361             :                                           max_contraction_val, tmp_max, eps_schwarz, &
    2362             :                                           neris_tmp, ZetaInv, EtaInv, &
    2363             :                                           s_offset_a, s_offset_b, s_offset_c, s_offset_d, &
    2364             :                                           nsgfla, nsgflb, nsgflc, nsgfld, nsoa, nsob, nsoc, nsod, &
    2365             :                                           sphi_a_ext(1, la + 1, ipgf), &
    2366             :                                           sphi_b_ext(1, lb + 1, jpgf), &
    2367             :                                           sphi_c_ext(1, lc + 1, kpgf), &
    2368             :                                           sphi_d_ext(1, ld + 1, lpgf), &
    2369             :                                           ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp, &
    2370   151475430 :                                           p_work)
    2371   151475430 :                         cart_estimate = MAX(tmp_max, cart_estimate)
    2372   264419122 :                         s_offset_d = s_offset_d + nsod*nsgfld
    2373             :                      END DO !ld
    2374   196341204 :                      s_offset_c = s_offset_c + nsoc*nsgflc
    2375             :                   END DO !lc
    2376   156574258 :                   s_offset_b = s_offset_b + nsob*nsgflb
    2377             :                END DO !lb
    2378   134779969 :                s_offset_a = s_offset_a + nsoa*nsgfla
    2379             :             END DO !la
    2380             :          END DO
    2381             :       END DO
    2382             : 
    2383     7016573 :    END SUBROUTINE coulomb4
    2384             : 
    2385             : ! **************************************************************************************************
    2386             : !> \brief Given a 2d index pair, this function returns a 1d index pair for
    2387             : !>        a symmetric upper triangle NxN matrix
    2388             : !>        The compiler should inline this function, therefore it appears in
    2389             : !>        several modules
    2390             : !> \param i 2d index
    2391             : !> \param j 2d index
    2392             : !> \param N matrix size
    2393             : !> \return ...
    2394             : !> \par History
    2395             : !>      03.2009 created [Manuel Guidon]
    2396             : !> \author Manuel Guidon
    2397             : ! **************************************************************************************************
    2398       28264 :    PURE FUNCTION get_1D_idx(i, j, N)
    2399             :       INTEGER, INTENT(IN)                                :: i, j
    2400             :       INTEGER(int_8), INTENT(IN)                         :: N
    2401             :       INTEGER(int_8)                                     :: get_1D_idx
    2402             : 
    2403             :       INTEGER(int_8)                                     :: min_ij
    2404             : 
    2405       28264 :       min_ij = MIN(i, j)
    2406       28264 :       get_1D_idx = min_ij*N + MAX(i, j) - (min_ij - 1)*min_ij/2 - N
    2407             : 
    2408       28264 :    END FUNCTION get_1D_idx
    2409             : 
    2410             : ! **************************************************************************************************
    2411             : !> \brief This routine prefetches density/fock matrix elements and stores them
    2412             : !>        in cache friendly arrays. These buffers are then used to update the
    2413             : !>        fock matrix
    2414             : !> \param ma_max Size of matrix blocks
    2415             : !> \param mb_max Size of matrix blocks
    2416             : !> \param mc_max Size of matrix blocks
    2417             : !> \param md_max Size of matrix blocks
    2418             : !> \param fac multiplication factor (spin)
    2419             : !> \param symm_fac multiplication factor (symmetry)
    2420             : !> \param density upper triangular density matrix
    2421             : !> \param ks upper triangular fock matrix
    2422             : !> \param prim primitive integrals
    2423             : !> \param pbd buffer that will contain P(b,d)
    2424             : !> \param pbc buffer that will contain P(b,c)
    2425             : !> \param pad buffer that will contain P(a,d)
    2426             : !> \param pac buffer that will contain P(a,c)
    2427             : !> \param kbd buffer for KS(b,d)
    2428             : !> \param kbc buffer for KS(b,c)
    2429             : !> \param kad buffer for KS(a,d)
    2430             : !> \param kac buffer for KS(a,c)
    2431             : !> \param iatom ...
    2432             : !> \param jatom ...
    2433             : !> \param katom ...
    2434             : !> \param latom ...
    2435             : !> \param iset ...
    2436             : !> \param jset ...
    2437             : !> \param kset ...
    2438             : !> \param lset ...
    2439             : !> \param offset_bd_set ...
    2440             : !> \param offset_bc_set ...
    2441             : !> \param offset_ad_set ...
    2442             : !> \param offset_ac_set ...
    2443             : !> \param atomic_offset_bd ...
    2444             : !> \param atomic_offset_bc ...
    2445             : !> \param atomic_offset_ad ...
    2446             : !> \param atomic_offset_ac ...
    2447             : !> \par History
    2448             : !>      03.2009 created [Manuel Guidon]
    2449             : !> \author Manuel Guidon
    2450             : ! **************************************************************************************************
    2451             : 
    2452    66580461 :    SUBROUTINE update_fock_matrix(ma_max, mb_max, mc_max, md_max, &
    2453    66580461 :                                  fac, symm_fac, density, ks, prim, &
    2454             :                                  pbd, pbc, pad, pac, kbd, kbc, kad, kac, &
    2455             :                                  iatom, jatom, katom, latom, &
    2456             :                                  iset, jset, kset, lset, offset_bd_set, offset_bc_set, offset_ad_set, &
    2457             :                                  offset_ac_set, atomic_offset_bd, atomic_offset_bc, atomic_offset_ad, &
    2458             :                                  atomic_offset_ac)
    2459             : 
    2460             :       INTEGER, INTENT(IN)                                :: ma_max, mb_max, mc_max, md_max
    2461             :       REAL(dp), INTENT(IN)                               :: fac, symm_fac
    2462             :       REAL(dp), DIMENSION(:), INTENT(IN)                 :: density
    2463             :       REAL(dp), DIMENSION(:), INTENT(INOUT)              :: ks
    2464             :       REAL(dp), DIMENSION(ma_max*mb_max*mc_max*md_max), &
    2465             :          INTENT(IN)                                      :: prim
    2466             :       REAL(dp), DIMENSION(*), INTENT(INOUT)              :: pbd, pbc, pad, pac, kbd, kbc, kad, kac
    2467             :       INTEGER, INTENT(IN)                                :: iatom, jatom, katom, latom, iset, jset, &
    2468             :                                                             kset, lset
    2469             :       INTEGER, DIMENSION(:, :), POINTER, INTENT(IN)      :: offset_bd_set, offset_bc_set, &
    2470             :                                                             offset_ad_set, offset_ac_set
    2471             :       INTEGER, INTENT(IN)                                :: atomic_offset_bd, atomic_offset_bc, &
    2472             :                                                             atomic_offset_ad, atomic_offset_ac
    2473             : 
    2474             :       INTEGER                                            :: i, j, ma, mb, mc, md, offset_ac, &
    2475             :                                                             offset_ad, offset_bc, offset_bd
    2476             :       REAL(dp)                                           :: ki
    2477             : 
    2478    66580461 :       IF (jatom >= latom) THEN
    2479    65812845 :          i = 1
    2480    65812845 :          offset_bd = offset_bd_set(jset, lset) + atomic_offset_bd - 1
    2481    65812845 :          j = offset_bd
    2482   196772710 :          DO md = 1, md_max
    2483   436191493 :             DO mb = 1, mb_max
    2484   239418783 :                pbd(i) = density(j)
    2485   239418783 :                i = i + 1
    2486   370378648 :                j = j + 1
    2487             :             END DO
    2488             :          END DO
    2489             :       ELSE
    2490      767616 :          i = 1
    2491      767616 :          offset_bd = offset_bd_set(lset, jset) + atomic_offset_bd - 1
    2492     2235460 :          DO md = 1, md_max
    2493     1467844 :             j = offset_bd + md - 1
    2494     5429209 :             DO mb = 1, mb_max
    2495     3193749 :                pbd(i) = density(j)
    2496     3193749 :                i = i + 1
    2497     4661593 :                j = j + md_max
    2498             :             END DO
    2499             :          END DO
    2500             :       END IF
    2501    66580461 :       IF (jatom >= katom) THEN
    2502    66580461 :          i = 1
    2503    66580461 :          offset_bc = offset_bc_set(jset, kset) + atomic_offset_bc - 1
    2504    66580461 :          j = offset_bc
    2505   220267495 :          DO mc = 1, mc_max
    2506   492875354 :             DO mb = 1, mb_max
    2507   272607859 :                pbc(i) = density(j)
    2508   272607859 :                i = i + 1
    2509   426294893 :                j = j + 1
    2510             :             END DO
    2511             :          END DO
    2512             :       ELSE
    2513           0 :          i = 1
    2514           0 :          offset_bc = offset_bc_set(kset, jset) + atomic_offset_bc - 1
    2515           0 :          DO mc = 1, mc_max
    2516           0 :             j = offset_bc + mc - 1
    2517           0 :             DO mb = 1, mb_max
    2518           0 :                pbc(i) = density(j)
    2519           0 :                i = i + 1
    2520           0 :                j = j + mc_max
    2521             :             END DO
    2522             :          END DO
    2523             :       END IF
    2524    66580461 :       IF (iatom >= latom) THEN
    2525    48619876 :          i = 1
    2526    48619876 :          offset_ad = offset_ad_set(iset, lset) + atomic_offset_ad - 1
    2527    48619876 :          j = offset_ad
    2528   152379450 :          DO md = 1, md_max
    2529   375294635 :             DO ma = 1, ma_max
    2530   222915185 :                pad(i) = density(j)
    2531   222915185 :                i = i + 1
    2532   326674759 :                j = j + 1
    2533             :             END DO
    2534             :          END DO
    2535             :       ELSE
    2536    17960585 :          i = 1
    2537    17960585 :          offset_ad = offset_ad_set(lset, iset) + atomic_offset_ad - 1
    2538    46628720 :          DO md = 1, md_max
    2539    28668135 :             j = offset_ad + md - 1
    2540   115178882 :             DO ma = 1, ma_max
    2541    68550162 :                pad(i) = density(j)
    2542    68550162 :                i = i + 1
    2543    97218297 :                j = j + md_max
    2544             :             END DO
    2545             :          END DO
    2546             :       END IF
    2547    66580461 :       IF (iatom >= katom) THEN
    2548    63747509 :          i = 1
    2549    63747509 :          offset_ac = offset_ac_set(iset, kset) + atomic_offset_ac - 1
    2550    63747509 :          j = offset_ac
    2551   212470156 :          DO mc = 1, mc_max
    2552   536259188 :             DO ma = 1, ma_max
    2553   323789032 :                pac(i) = density(j)
    2554   323789032 :                i = i + 1
    2555   472511679 :                j = j + 1
    2556             :             END DO
    2557             :          END DO
    2558             :       ELSE
    2559     2832952 :          i = 1
    2560     2832952 :          offset_ac = offset_ac_set(kset, iset) + atomic_offset_ac - 1
    2561     7797339 :          DO mc = 1, mc_max
    2562     4964387 :             j = offset_ac + mc - 1
    2563    21020183 :             DO ma = 1, ma_max
    2564    13222844 :                pac(i) = density(j)
    2565    13222844 :                i = i + 1
    2566    18187231 :                j = j + mc_max
    2567             :             END DO
    2568             :          END DO
    2569             :       END IF
    2570             : 
    2571    66580461 :       CALL contract_block(ma_max, mb_max, mc_max, md_max, kbd, kbc, kad, kac, pbd, pbc, pad, pac, prim, fac*symm_fac)
    2572    66580461 :       IF (jatom >= latom) THEN
    2573             :          i = 1
    2574             :          j = offset_bd
    2575   196772710 :          DO md = 1, md_max
    2576   436191493 :             DO mb = 1, mb_max
    2577   239418783 :                ki = kbd(i)
    2578   239418783 : !$OMP           ATOMIC
    2579             :                ks(j) = ks(j) + ki
    2580   239418783 :                i = i + 1
    2581   370378648 :                j = j + 1
    2582             :             END DO
    2583             :          END DO
    2584             :       ELSE
    2585             :          i = 1
    2586     2235460 :          DO md = 1, md_max
    2587     1467844 :             j = offset_bd + md - 1
    2588     5429209 :             DO mb = 1, mb_max
    2589     3193749 :                ki = kbd(i)
    2590     3193749 : !$OMP           ATOMIC
    2591             :                ks(j) = ks(j) + ki
    2592     3193749 :                i = i + 1
    2593     4661593 :                j = j + md_max
    2594             :             END DO
    2595             :          END DO
    2596             :       END IF
    2597    66580461 :       IF (jatom >= katom) THEN
    2598             :          i = 1
    2599             :          j = offset_bc
    2600   220267495 :          DO mc = 1, mc_max
    2601   492875354 :             DO mb = 1, mb_max
    2602   272607859 :                ki = kbc(i)
    2603   272607859 : !$OMP           ATOMIC
    2604             :                ks(j) = ks(j) + ki
    2605   272607859 :                i = i + 1
    2606   426294893 :                j = j + 1
    2607             :             END DO
    2608             :          END DO
    2609             :       ELSE
    2610             :          i = 1
    2611           0 :          DO mc = 1, mc_max
    2612           0 :             j = offset_bc + mc - 1
    2613           0 :             DO mb = 1, mb_max
    2614           0 :                ki = kbc(i)
    2615           0 : !$OMP           ATOMIC
    2616             :                ks(j) = ks(j) + ki
    2617           0 :                i = i + 1
    2618           0 :                j = j + mc_max
    2619             :             END DO
    2620             :          END DO
    2621             :       END IF
    2622    66580461 :       IF (iatom >= latom) THEN
    2623             :          i = 1
    2624             :          j = offset_ad
    2625   152379450 :          DO md = 1, md_max
    2626   375294635 :             DO ma = 1, ma_max
    2627   222915185 :                ki = kad(i)
    2628   222915185 : !$OMP           ATOMIC
    2629             :                ks(j) = ks(j) + ki
    2630   222915185 :                i = i + 1
    2631   326674759 :                j = j + 1
    2632             :             END DO
    2633             :          END DO
    2634             :       ELSE
    2635             :          i = 1
    2636    46628720 :          DO md = 1, md_max
    2637    28668135 :             j = offset_ad + md - 1
    2638   115178882 :             DO ma = 1, ma_max
    2639    68550162 :                ki = kad(i)
    2640    68550162 : !$OMP           ATOMIC
    2641             :                ks(j) = ks(j) + ki
    2642    68550162 :                i = i + 1
    2643    97218297 :                j = j + md_max
    2644             :             END DO
    2645             :          END DO
    2646             :       END IF
    2647    66580461 :       IF (iatom >= katom) THEN
    2648             :          i = 1
    2649             :          j = offset_ac
    2650   212470156 :          DO mc = 1, mc_max
    2651   536259188 :             DO ma = 1, ma_max
    2652   323789032 :                ki = kac(i)
    2653   323789032 : !$OMP           ATOMIC
    2654             :                ks(j) = ks(j) + ki
    2655   323789032 :                i = i + 1
    2656   472511679 :                j = j + 1
    2657             :             END DO
    2658             :          END DO
    2659             :       ELSE
    2660             :          i = 1
    2661     7797339 :          DO mc = 1, mc_max
    2662     4964387 :             j = offset_ac + mc - 1
    2663    21020183 :             DO ma = 1, ma_max
    2664    13222844 :                ki = kac(i)
    2665    13222844 : !$OMP           ATOMIC
    2666             :                ks(j) = ks(j) + ki
    2667    13222844 :                i = i + 1
    2668    18187231 :                j = j + mc_max
    2669             :             END DO
    2670             :          END DO
    2671             :       END IF
    2672    66580461 :    END SUBROUTINE update_fock_matrix
    2673             : 
    2674             : ! **************************************************************************************************
    2675             : !> \brief ...
    2676             : !> \param ma_max ...
    2677             : !> \param mb_max ...
    2678             : !> \param mc_max ...
    2679             : !> \param md_max ...
    2680             : !> \param fac ...
    2681             : !> \param symm_fac ...
    2682             : !> \param density ...
    2683             : !> \param ks ...
    2684             : !> \param prim ...
    2685             : !> \param pbd ...
    2686             : !> \param pbc ...
    2687             : !> \param pad ...
    2688             : !> \param pac ...
    2689             : !> \param kbd ...
    2690             : !> \param kbc ...
    2691             : !> \param kad ...
    2692             : !> \param kac ...
    2693             : !> \param iatom ...
    2694             : !> \param jatom ...
    2695             : !> \param katom ...
    2696             : !> \param latom ...
    2697             : !> \param iset ...
    2698             : !> \param jset ...
    2699             : !> \param kset ...
    2700             : !> \param lset ...
    2701             : !> \param offset_bd_set ...
    2702             : !> \param offset_bc_set ...
    2703             : !> \param offset_ad_set ...
    2704             : !> \param offset_ac_set ...
    2705             : !> \param atomic_offset_bd ...
    2706             : !> \param atomic_offset_bc ...
    2707             : !> \param atomic_offset_ad ...
    2708             : !> \param atomic_offset_ac ...
    2709             : ! **************************************************************************************************
    2710     4975109 :    SUBROUTINE update_fock_matrix_as(ma_max, mb_max, mc_max, md_max, &
    2711     4975109 :                                     fac, symm_fac, density, ks, prim, &
    2712             :                                     pbd, pbc, pad, pac, kbd, kbc, kad, kac, &
    2713             :                                     iatom, jatom, katom, latom, &
    2714             :                                     iset, jset, kset, lset, offset_bd_set, offset_bc_set, offset_ad_set, &
    2715             :                                     offset_ac_set, atomic_offset_bd, atomic_offset_bc, atomic_offset_ad, &
    2716             :                                     atomic_offset_ac)
    2717             : 
    2718             :       INTEGER, INTENT(IN)                                :: ma_max, mb_max, mc_max, md_max
    2719             :       REAL(dp), INTENT(IN)                               :: fac, symm_fac
    2720             :       REAL(dp), DIMENSION(:), INTENT(IN)                 :: density
    2721             :       REAL(dp), DIMENSION(:), INTENT(INOUT)              :: ks
    2722             :       REAL(dp), DIMENSION(ma_max*mb_max*mc_max*md_max), &
    2723             :          INTENT(IN)                                      :: prim
    2724             :       REAL(dp), DIMENSION(*), INTENT(INOUT)              :: pbd, pbc, pad, pac, kbd, kbc, kad, kac
    2725             :       INTEGER, INTENT(IN)                                :: iatom, jatom, katom, latom, iset, jset, &
    2726             :                                                             kset, lset
    2727             :       INTEGER, DIMENSION(:, :), POINTER                  :: offset_bd_set, offset_bc_set, &
    2728             :                                                             offset_ad_set, offset_ac_set
    2729             :       INTEGER, INTENT(IN)                                :: atomic_offset_bd, atomic_offset_bc, &
    2730             :                                                             atomic_offset_ad, atomic_offset_ac
    2731             : 
    2732             :       INTEGER                                            :: i, j, ma, mb, mc, md, offset_ac, &
    2733             :                                                             offset_ad, offset_bc, offset_bd
    2734             : 
    2735     4975109 :       IF (jatom >= latom) THEN
    2736     4969175 :          i = 1
    2737     4969175 :          offset_bd = offset_bd_set(jset, lset) + atomic_offset_bd - 1
    2738     4969175 :          j = offset_bd
    2739    13542415 :          DO md = 1, md_max
    2740    25967993 :             DO mb = 1, mb_max
    2741    12425578 :                pbd(i) = +density(j)
    2742    12425578 :                i = i + 1
    2743    20998818 :                j = j + 1
    2744             :             END DO
    2745             :          END DO
    2746             :       ELSE
    2747        5934 :          i = 1
    2748        5934 :          offset_bd = offset_bd_set(lset, jset) + atomic_offset_bd - 1
    2749       13154 :          DO md = 1, md_max
    2750        7220 :             j = offset_bd + md - 1
    2751       23570 :             DO mb = 1, mb_max
    2752       10416 :                pbd(i) = -density(j)
    2753       10416 :                i = i + 1
    2754       17636 :                j = j + md_max
    2755             :             END DO
    2756             :          END DO
    2757             :       END IF
    2758     4975109 :       IF (jatom >= katom) THEN
    2759     4975109 :          i = 1
    2760     4975109 :          offset_bc = offset_bc_set(jset, kset) + atomic_offset_bc - 1
    2761     4975109 :          j = offset_bc
    2762    15134036 :          DO mc = 1, mc_max
    2763    29447906 :             DO mb = 1, mb_max
    2764    14313870 :                pbc(i) = -density(j)
    2765    14313870 :                i = i + 1
    2766    24472797 :                j = j + 1
    2767             :             END DO
    2768             :          END DO
    2769             :       ELSE
    2770           0 :          i = 1
    2771           0 :          offset_bc = offset_bc_set(kset, jset) + atomic_offset_bc - 1
    2772           0 :          DO mc = 1, mc_max
    2773           0 :             j = offset_bc + mc - 1
    2774           0 :             DO mb = 1, mb_max
    2775           0 :                pbc(i) = density(j)
    2776           0 :                i = i + 1
    2777           0 :                j = j + mc_max
    2778             :             END DO
    2779             :          END DO
    2780             :       END IF
    2781     4975109 :       IF (iatom >= latom) THEN
    2782     3754017 :          i = 1
    2783     3754017 :          offset_ad = offset_ad_set(iset, lset) + atomic_offset_ad - 1
    2784     3754017 :          j = offset_ad
    2785    10877962 :          DO md = 1, md_max
    2786    24230763 :             DO ma = 1, ma_max
    2787    13352801 :                pad(i) = -density(j)
    2788    13352801 :                i = i + 1
    2789    20476746 :                j = j + 1
    2790             :             END DO
    2791             :          END DO
    2792             :       ELSE
    2793     1221092 :          i = 1
    2794     1221092 :          offset_ad = offset_ad_set(lset, iset) + atomic_offset_ad - 1
    2795     2677607 :          DO md = 1, md_max
    2796     1456515 :             j = offset_ad + md - 1
    2797     5893296 :             DO ma = 1, ma_max
    2798     3215689 :                pad(i) = density(j)
    2799     3215689 :                i = i + 1
    2800     4672204 :                j = j + md_max
    2801             :             END DO
    2802             :          END DO
    2803             :       END IF
    2804     4975109 :       IF (iatom >= katom) THEN
    2805     4800293 :          i = 1
    2806     4800293 :          offset_ac = offset_ac_set(iset, kset) + atomic_offset_ac - 1
    2807     4800293 :          j = offset_ac
    2808    14707836 :          DO mc = 1, mc_max
    2809    33684431 :             DO ma = 1, ma_max
    2810    18976595 :                pac(i) = +density(j)
    2811    18976595 :                i = i + 1
    2812    28884138 :                j = j + 1
    2813             :             END DO
    2814             :          END DO
    2815             :       ELSE
    2816      174816 :          i = 1
    2817      174816 :          offset_ac = offset_ac_set(kset, iset) + atomic_offset_ac - 1
    2818      426200 :          DO mc = 1, mc_max
    2819      251384 :             j = offset_ac + mc - 1
    2820     1062297 :             DO ma = 1, ma_max
    2821      636097 :                pac(i) = -density(j)
    2822      636097 :                i = i + 1
    2823      887481 :                j = j + mc_max
    2824             :             END DO
    2825             :          END DO
    2826             :       END IF
    2827             : 
    2828     4975109 :       CALL contract_block(ma_max, mb_max, mc_max, md_max, kbd, kbc, kad, kac, pbd, pbc, pad, pac, prim, fac*symm_fac)
    2829             : 
    2830     4975109 :       IF (jatom >= latom) THEN
    2831             :          i = 1
    2832             :          j = offset_bd
    2833    13542415 :          DO md = 1, md_max
    2834    25967993 :             DO mb = 1, mb_max
    2835    12425578 : !$OMP           ATOMIC
    2836             :                ks(j) = ks(j) + kbd(i)
    2837    12425578 :                i = i + 1
    2838    20998818 :                j = j + 1
    2839             :             END DO
    2840             :          END DO
    2841             :       ELSE
    2842             :          i = 1
    2843       13154 :          DO md = 1, md_max
    2844        7220 :             j = offset_bd + md - 1
    2845       23570 :             DO mb = 1, mb_max
    2846       10416 : !$OMP           ATOMIC
    2847             :                ks(j) = ks(j) - kbd(i)
    2848       10416 :                i = i + 1
    2849       17636 :                j = j + md_max
    2850             :             END DO
    2851             :          END DO
    2852             :       END IF
    2853     4975109 :       IF (jatom >= katom) THEN
    2854             :          i = 1
    2855             :          j = offset_bc
    2856    15134036 :          DO mc = 1, mc_max
    2857    29447906 :             DO mb = 1, mb_max
    2858    14313870 : !$OMP           ATOMIC
    2859             :                ks(j) = ks(j) - kbc(i)
    2860    14313870 :                i = i + 1
    2861    24472797 :                j = j + 1
    2862             :             END DO
    2863             :          END DO
    2864             :       ELSE
    2865             :          i = 1
    2866           0 :          DO mc = 1, mc_max
    2867           0 :             j = offset_bc + mc - 1
    2868           0 :             DO mb = 1, mb_max
    2869           0 : !$OMP           ATOMIC
    2870             :                ks(j) = ks(j) + kbc(i)
    2871           0 :                i = i + 1
    2872           0 :                j = j + mc_max
    2873             :             END DO
    2874             :          END DO
    2875             :       END IF
    2876     4975109 :       IF (iatom >= latom) THEN
    2877             :          i = 1
    2878             :          j = offset_ad
    2879    10877962 :          DO md = 1, md_max
    2880    24230763 :             DO ma = 1, ma_max
    2881    13352801 : !$OMP           ATOMIC
    2882             :                ks(j) = ks(j) - kad(i)
    2883    13352801 :                i = i + 1
    2884    20476746 :                j = j + 1
    2885             :             END DO
    2886             :          END DO
    2887             :       ELSE
    2888             :          i = 1
    2889     2677607 :          DO md = 1, md_max
    2890     1456515 :             j = offset_ad + md - 1
    2891     5893296 :             DO ma = 1, ma_max
    2892     3215689 : !$OMP           ATOMIC
    2893             :                ks(j) = ks(j) + kad(i)
    2894     3215689 :                i = i + 1
    2895     4672204 :                j = j + md_max
    2896             :             END DO
    2897             :          END DO
    2898             :       END IF
    2899             : ! XXXXXXXXXXXXXXXXXXXXXXXX
    2900     4975109 :       IF (iatom >= katom) THEN
    2901             :          i = 1
    2902             :          j = offset_ac
    2903    14707836 :          DO mc = 1, mc_max
    2904    33684431 :             DO ma = 1, ma_max
    2905    18976595 : !$OMP           ATOMIC
    2906             :                ks(j) = ks(j) + kac(i)
    2907    18976595 :                i = i + 1
    2908    28884138 :                j = j + 1
    2909             :             END DO
    2910             :          END DO
    2911             :       ELSE
    2912             :          i = 1
    2913      426200 :          DO mc = 1, mc_max
    2914      251384 :             j = offset_ac + mc - 1
    2915     1062297 :             DO ma = 1, ma_max
    2916      636097 : !$OMP           ATOMIC
    2917             :                ks(j) = ks(j) - kac(i)
    2918      636097 :                i = i + 1
    2919      887481 :                j = j + mc_max
    2920             :             END DO
    2921             :          END DO
    2922             :       END IF
    2923             : 
    2924     4975109 :    END SUBROUTINE update_fock_matrix_as
    2925             : 
    2926             : ! **************************************************************************************************
    2927             : !> \brief ...
    2928             : !> \param i ...
    2929             : !> \param j ...
    2930             : !> \param k ...
    2931             : !> \param l ...
    2932             : !> \param set_offsets ...
    2933             : !> \param atom_offsets ...
    2934             : !> \param iset ...
    2935             : !> \param jset ...
    2936             : !> \param kset ...
    2937             : !> \param lset ...
    2938             : !> \param ma_max ...
    2939             : !> \param mb_max ...
    2940             : !> \param mc_max ...
    2941             : !> \param md_max ...
    2942             : !> \param prim ...
    2943             : ! **************************************************************************************************
    2944           0 :    SUBROUTINE print_integrals(i, j, k, l, set_offsets, atom_offsets, iset, jset, kset, lset, ma_max, mb_max, mc_max, md_max, prim)
    2945             :       INTEGER                                            :: i, j, k, l
    2946             :       INTEGER, DIMENSION(:, :, :, :), POINTER            :: set_offsets
    2947             :       INTEGER, DIMENSION(:, :), POINTER                  :: atom_offsets
    2948             :       INTEGER                                            :: iset, jset, kset, lset, ma_max, mb_max, &
    2949             :                                                             mc_max, md_max
    2950             :       REAL(dp), DIMENSION(ma_max*mb_max*mc_max*md_max), &
    2951             :          INTENT(IN)                                      :: prim
    2952             : 
    2953             :       INTEGER                                            :: iint, ma, mb, mc, md
    2954             : 
    2955           0 :       iint = 0
    2956           0 :       DO md = 1, md_max
    2957           0 :          DO mc = 1, mc_max
    2958           0 :             DO mb = 1, mb_max
    2959           0 :                DO ma = 1, ma_max
    2960           0 :                   iint = iint + 1
    2961           0 :                   IF (ABS(prim(iint)) .GT. 0.0000000000001) &
    2962           0 :                      WRITE (99, *) atom_offsets(i, 1) + ma + set_offsets(iset, 1, i, 1) - 1, &
    2963           0 :                      atom_offsets(j, 1) + ma + set_offsets(jset, 1, j, 1) - 1, &
    2964           0 :                      atom_offsets(k, 1) + ma + set_offsets(kset, 1, k, 1) - 1, &
    2965           0 :                      atom_offsets(l, 1) + ma + set_offsets(lset, 1, l, 1) - 1, &
    2966           0 :                      prim(iint)
    2967             :                END DO
    2968             :             END DO
    2969             :          END DO
    2970             :       END DO
    2971             : 
    2972           0 :    END SUBROUTINE print_integrals
    2973             : 
    2974             :    #:include "hfx_get_pmax_val.fypp"
    2975             : 
    2976             : END MODULE hfx_energy_potential

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