LCOV - code coverage report
Current view: top level - src - mp2_integrals.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:936074a) Lines: 95.6 % 544 520
Test Date: 2025-12-04 06:27:48 Functions: 77.8 % 9 7

            Line data    Source code
       1              : !--------------------------------------------------------------------------------------------------!
       2              : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3              : !   Copyright 2000-2025 CP2K developers group <https://cp2k.org>                                   !
       4              : !                                                                                                  !
       5              : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6              : !--------------------------------------------------------------------------------------------------!
       7              : 
       8              : ! **************************************************************************************************
       9              : !> \brief Routines to calculate and distribute 2c- and 3c- integrals for RI
      10              : !> \par History
      11              : !>      06.2012 created [Mauro Del Ben]
      12              : !>      03.2019 separated from mp2_ri_gpw [Frederick Stein]
      13              : ! **************************************************************************************************
      14              : MODULE mp2_integrals
      15              :    USE OMP_LIB,                         ONLY: omp_get_num_threads,&
      16              :                                               omp_get_thread_num
      17              :    USE atomic_kind_types,               ONLY: atomic_kind_type
      18              :    USE basis_set_types,                 ONLY: gto_basis_set_p_type,&
      19              :                                               gto_basis_set_type
      20              :    USE bibliography,                    ONLY: DelBen2013,&
      21              :                                               cite_reference
      22              :    USE cell_types,                      ONLY: cell_type,&
      23              :                                               get_cell
      24              :    USE cp_blacs_env,                    ONLY: cp_blacs_env_type
      25              :    USE cp_control_types,                ONLY: dft_control_type
      26              :    USE cp_dbcsr_api,                    ONLY: &
      27              :         dbcsr_copy, dbcsr_create, dbcsr_get_info, dbcsr_multiply, dbcsr_p_type, dbcsr_release, &
      28              :         dbcsr_release_p, dbcsr_set, dbcsr_type, dbcsr_type_no_symmetry
      29              :    USE cp_dbcsr_operations,             ONLY: copy_dbcsr_to_fm,&
      30              :                                               cp_dbcsr_m_by_n_from_template
      31              :    USE cp_eri_mme_interface,            ONLY: cp_eri_mme_param,&
      32              :                                               cp_eri_mme_set_params
      33              :    USE cp_fm_struct,                    ONLY: cp_fm_struct_create,&
      34              :                                               cp_fm_struct_release,&
      35              :                                               cp_fm_struct_type
      36              :    USE cp_fm_types,                     ONLY: cp_fm_create,&
      37              :                                               cp_fm_get_info,&
      38              :                                               cp_fm_release,&
      39              :                                               cp_fm_type
      40              :    USE cp_log_handling,                 ONLY: cp_to_string
      41              :    USE cp_units,                        ONLY: cp_unit_from_cp2k
      42              :    USE dbt_api,                         ONLY: &
      43              :         dbt_clear, dbt_contract, dbt_copy, dbt_create, dbt_destroy, dbt_distribution_destroy, &
      44              :         dbt_distribution_new, dbt_distribution_type, dbt_filter, dbt_get_block, dbt_get_info, &
      45              :         dbt_get_stored_coordinates, dbt_mp_environ_pgrid, dbt_pgrid_create, dbt_pgrid_destroy, &
      46              :         dbt_pgrid_type, dbt_put_block, dbt_reserve_blocks, dbt_scale, dbt_split_blocks, dbt_type
      47              :    USE group_dist_types,                ONLY: create_group_dist,&
      48              :                                               get_group_dist,&
      49              :                                               group_dist_d1_type
      50              :    USE hfx_types,                       ONLY: alloc_containers,&
      51              :                                               block_ind_type,&
      52              :                                               hfx_compression_type
      53              :    USE input_constants,                 ONLY: &
      54              :         do_eri_gpw, do_eri_mme, do_eri_os, do_potential_coulomb, do_potential_id, &
      55              :         do_potential_long, do_potential_short, do_potential_truncated, kp_weights_W_auto, &
      56              :         kp_weights_W_tailored, kp_weights_W_uniform
      57              :    USE input_section_types,             ONLY: section_vals_get_subs_vals,&
      58              :                                               section_vals_type,&
      59              :                                               section_vals_val_get
      60              :    USE kinds,                           ONLY: default_string_length,&
      61              :                                               dp,&
      62              :                                               int_8
      63              :    USE kpoint_methods,                  ONLY: kpoint_init_cell_index
      64              :    USE kpoint_types,                    ONLY: kpoint_type
      65              :    USE libint_2c_3c,                    ONLY: compare_potential_types,&
      66              :                                               libint_potential_type
      67              :    USE machine,                         ONLY: m_flush
      68              :    USE message_passing,                 ONLY: mp_cart_type,&
      69              :                                               mp_comm_type,&
      70              :                                               mp_para_env_type
      71              :    USE mp2_eri,                         ONLY: mp2_eri_3c_integrate
      72              :    USE mp2_eri_gpw,                     ONLY: cleanup_gpw,&
      73              :                                               mp2_eri_3c_integrate_gpw,&
      74              :                                               prepare_gpw
      75              :    USE mp2_ri_2c,                       ONLY: get_2c_integrals
      76              :    USE mp2_types,                       ONLY: three_dim_real_array
      77              :    USE particle_methods,                ONLY: get_particle_set
      78              :    USE particle_types,                  ONLY: particle_type
      79              :    USE pw_env_types,                    ONLY: pw_env_type
      80              :    USE pw_poisson_types,                ONLY: pw_poisson_type
      81              :    USE pw_pool_types,                   ONLY: pw_pool_type
      82              :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      83              :                                               pw_r3d_rs_type
      84              :    USE qs_environment_types,            ONLY: get_qs_env,&
      85              :                                               qs_environment_type,&
      86              :                                               set_qs_env
      87              :    USE qs_integral_utils,               ONLY: basis_set_list_setup
      88              :    USE qs_interactions,                 ONLY: init_interaction_radii_orb_basis
      89              :    USE qs_kind_types,                   ONLY: qs_kind_type
      90              :    USE qs_neighbor_list_types,          ONLY: neighbor_list_set_p_type
      91              :    USE qs_tensors,                      ONLY: build_3c_integrals,&
      92              :                                               build_3c_neighbor_lists,&
      93              :                                               compress_tensor,&
      94              :                                               get_tensor_occupancy,&
      95              :                                               neighbor_list_3c_destroy
      96              :    USE qs_tensors_types,                ONLY: create_3c_tensor,&
      97              :                                               create_tensor_batches,&
      98              :                                               distribution_3d_create,&
      99              :                                               distribution_3d_type,&
     100              :                                               neighbor_list_3c_type,&
     101              :                                               pgf_block_sizes
     102              :    USE task_list_types,                 ONLY: task_list_type
     103              :    USE util,                            ONLY: get_limit
     104              : #include "./base/base_uses.f90"
     105              : 
     106              :    IMPLICIT NONE
     107              : 
     108              :    PRIVATE
     109              : 
     110              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'mp2_integrals'
     111              : 
     112              :    PUBLIC :: mp2_ri_gpw_compute_in, compute_kpoints
     113              : 
     114              :    TYPE intermediate_matrix_type
     115              :       TYPE(dbcsr_type) :: matrix_ia_jnu, matrix_ia_jb
     116              :       INTEGER :: max_row_col_local = 0
     117              :       INTEGER, ALLOCATABLE, DIMENSION(:, :) :: local_col_row_info
     118              :       TYPE(cp_fm_type) :: fm_BIb_jb = cp_fm_type()
     119              :       CHARACTER(LEN=default_string_length) :: descr = ""
     120              :    END TYPE intermediate_matrix_type
     121              : 
     122              : CONTAINS
     123              : 
     124              : ! **************************************************************************************************
     125              : !> \brief with ri mp2 gpw
     126              : !> \param BIb_C ...
     127              : !> \param BIb_C_gw ...
     128              : !> \param BIb_C_bse_ij ...
     129              : !> \param BIb_C_bse_ab ...
     130              : !> \param gd_array ...
     131              : !> \param gd_B_virtual ...
     132              : !> \param dimen_RI ...
     133              : !> \param dimen_RI_red ...
     134              : !> \param qs_env ...
     135              : !> \param para_env ...
     136              : !> \param para_env_sub ...
     137              : !> \param color_sub ...
     138              : !> \param cell ...
     139              : !> \param particle_set ...
     140              : !> \param atomic_kind_set ...
     141              : !> \param qs_kind_set ...
     142              : !> \param fm_matrix_PQ ...
     143              : !> \param fm_matrix_L_kpoints ...
     144              : !> \param fm_matrix_Minv_L_kpoints ...
     145              : !> \param fm_matrix_Minv ...
     146              : !> \param fm_matrix_Minv_Vtrunc_Minv ...
     147              : !> \param nmo ...
     148              : !> \param homo ...
     149              : !> \param mat_munu ...
     150              : !> \param sab_orb_sub ...
     151              : !> \param mo_coeff_o ...
     152              : !> \param mo_coeff_v ...
     153              : !> \param mo_coeff_all ...
     154              : !> \param mo_coeff_gw ...
     155              : !> \param mo_coeff_o_bse ...
     156              : !> \param mo_coeff_v_bse ...
     157              : !> \param eps_filter ...
     158              : !> \param unit_nr ...
     159              : !> \param mp2_memory ...
     160              : !> \param calc_PQ_cond_num ...
     161              : !> \param calc_forces ...
     162              : !> \param blacs_env_sub ...
     163              : !> \param my_do_gw ...
     164              : !> \param do_bse ...
     165              : !> \param gd_B_all ...
     166              : !> \param starts_array_mc ...
     167              : !> \param ends_array_mc ...
     168              : !> \param starts_array_mc_block ...
     169              : !> \param ends_array_mc_block ...
     170              : !> \param gw_corr_lev_occ ...
     171              : !> \param gw_corr_lev_virt ...
     172              : !> \param bse_lev_virt ...
     173              : !> \param do_im_time ...
     174              : !> \param do_kpoints_cubic_RPA ...
     175              : !> \param kpoints ...
     176              : !> \param t_3c_M ...
     177              : !> \param t_3c_O ...
     178              : !> \param t_3c_O_compressed ...
     179              : !> \param t_3c_O_ind ...
     180              : !> \param ri_metric ...
     181              : !> \param gd_B_occ_bse ...
     182              : !> \param gd_B_virt_bse ...
     183              : !> \author Mauro Del Ben
     184              : ! **************************************************************************************************
     185         5232 :    SUBROUTINE mp2_ri_gpw_compute_in(BIb_C, BIb_C_gw, BIb_C_bse_ij, BIb_C_bse_ab, gd_array, gd_B_virtual, &
     186              :                                     dimen_RI, dimen_RI_red, qs_env, para_env, para_env_sub, color_sub, &
     187              :                                     cell, particle_set, atomic_kind_set, qs_kind_set, &
     188              :                                     fm_matrix_PQ, fm_matrix_L_kpoints, fm_matrix_Minv_L_kpoints, &
     189              :                                     fm_matrix_Minv, fm_matrix_Minv_Vtrunc_Minv, &
     190          654 :                                     nmo, homo, mat_munu, &
     191         1308 :                                     sab_orb_sub, mo_coeff_o, mo_coeff_v, mo_coeff_all, &
     192          654 :                                     mo_coeff_gw, mo_coeff_o_bse, mo_coeff_v_bse, eps_filter, unit_nr, &
     193              :                                     mp2_memory, calc_PQ_cond_num, calc_forces, blacs_env_sub, my_do_gw, do_bse, &
     194              :                                     gd_B_all, starts_array_mc, ends_array_mc, &
     195              :                                     starts_array_mc_block, ends_array_mc_block, &
     196              :                                     gw_corr_lev_occ, gw_corr_lev_virt, &
     197              :                                     bse_lev_virt, &
     198              :                                     do_im_time, do_kpoints_cubic_RPA, kpoints, &
     199              :                                     t_3c_M, t_3c_O, t_3c_O_compressed, t_3c_O_ind, &
     200              :                                     ri_metric, gd_B_occ_bse, gd_B_virt_bse)
     201              : 
     202              :       TYPE(three_dim_real_array), ALLOCATABLE, &
     203              :          DIMENSION(:), INTENT(OUT)                       :: BIb_C, BIb_C_gw
     204              :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :), &
     205              :          INTENT(OUT)                                     :: BIb_C_bse_ij, BIb_C_bse_ab
     206              :       TYPE(group_dist_d1_type), INTENT(OUT)              :: gd_array
     207              :       TYPE(group_dist_d1_type), ALLOCATABLE, &
     208              :          DIMENSION(:), INTENT(OUT)                       :: gd_B_virtual
     209              :       INTEGER, INTENT(OUT)                               :: dimen_RI, dimen_RI_red
     210              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     211              :       TYPE(mp_para_env_type), POINTER                    :: para_env, para_env_sub
     212              :       INTEGER, INTENT(IN)                                :: color_sub
     213              :       TYPE(cell_type), POINTER                           :: cell
     214              :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     215              :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     216              :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     217              :       TYPE(cp_fm_type), INTENT(OUT)                      :: fm_matrix_PQ
     218              :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:, :)     :: fm_matrix_L_kpoints, &
     219              :                                                             fm_matrix_Minv_L_kpoints, &
     220              :                                                             fm_matrix_Minv, &
     221              :                                                             fm_matrix_Minv_Vtrunc_Minv
     222              :       INTEGER, INTENT(IN)                                :: nmo
     223              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: homo
     224              :       TYPE(dbcsr_p_type), INTENT(INOUT)                  :: mat_munu
     225              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     226              :          INTENT(IN), POINTER                             :: sab_orb_sub
     227              :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(IN)       :: mo_coeff_o, mo_coeff_v, mo_coeff_all, &
     228              :                                                             mo_coeff_gw, mo_coeff_o_bse, &
     229              :                                                             mo_coeff_v_bse
     230              :       REAL(KIND=dp), INTENT(IN)                          :: eps_filter
     231              :       INTEGER, INTENT(IN)                                :: unit_nr
     232              :       REAL(KIND=dp), INTENT(IN)                          :: mp2_memory
     233              :       LOGICAL, INTENT(IN)                                :: calc_PQ_cond_num, calc_forces
     234              :       TYPE(cp_blacs_env_type), POINTER                   :: blacs_env_sub
     235              :       LOGICAL, INTENT(IN)                                :: my_do_gw, do_bse
     236              :       TYPE(group_dist_d1_type), INTENT(OUT)              :: gd_B_all
     237              :       INTEGER, ALLOCATABLE, DIMENSION(:), INTENT(OUT)    :: starts_array_mc, ends_array_mc, &
     238              :                                                             starts_array_mc_block, &
     239              :                                                             ends_array_mc_block
     240              :       INTEGER, INTENT(IN)                                :: gw_corr_lev_occ, gw_corr_lev_virt, &
     241              :                                                             bse_lev_virt
     242              :       LOGICAL, INTENT(IN)                                :: do_im_time, do_kpoints_cubic_RPA
     243              :       TYPE(kpoint_type), POINTER                         :: kpoints
     244              :       TYPE(dbt_type), INTENT(OUT)                        :: t_3c_M
     245              :       TYPE(dbt_type), ALLOCATABLE, DIMENSION(:, :), &
     246              :          INTENT(OUT)                                     :: t_3c_O
     247              :       TYPE(hfx_compression_type), ALLOCATABLE, &
     248              :          DIMENSION(:, :, :), INTENT(INOUT)               :: t_3c_O_compressed
     249              :       TYPE(block_ind_type), ALLOCATABLE, &
     250              :          DIMENSION(:, :, :)                              :: t_3c_O_ind
     251              :       TYPE(libint_potential_type), INTENT(IN)            :: ri_metric
     252              :       TYPE(group_dist_d1_type), INTENT(OUT)              :: gd_B_occ_bse, gd_B_virt_bse
     253              : 
     254              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'mp2_ri_gpw_compute_in'
     255              : 
     256              :       INTEGER :: cm, cut_memory, cut_memory_int, eri_method, gw_corr_lev_total, handle, handle2, &
     257              :          handle4, i, i_counter, i_mem, ibasis, ispin, itmp(2), j, jcell, kcell, LLL, min_bsize, &
     258              :          my_B_all_end, my_B_all_size, my_B_all_start, my_B_occ_bse_end, my_B_occ_bse_size, &
     259              :          my_B_occ_bse_start, my_B_virt_bse_end, my_B_virt_bse_size, my_B_virt_bse_start, &
     260              :          my_group_L_end, my_group_L_size, my_group_L_start, n_rep, natom, ngroup, nimg, nkind, &
     261              :          nspins, potential_type, ri_metric_type
     262              :       INTEGER(int_8)                                     :: nze
     263          654 :       INTEGER, ALLOCATABLE, DIMENSION(:) :: dist_AO_1, dist_AO_2, dist_RI, &
     264          654 :          ends_array_mc_block_int, ends_array_mc_int, my_B_size, my_B_virtual_end, &
     265         1308 :          my_B_virtual_start, sizes_AO, sizes_AO_split, sizes_RI, sizes_RI_split, &
     266         1308 :          starts_array_mc_block_int, starts_array_mc_int, virtual
     267              :       INTEGER, DIMENSION(2, 3)                           :: bounds
     268              :       INTEGER, DIMENSION(3)                              :: bounds_3c, pcoord, pdims, pdims_t3c, &
     269              :                                                             periodic
     270              :       LOGICAL                                            :: do_gpw, do_kpoints_from_Gamma, do_svd, &
     271              :                                                             memory_info
     272              :       REAL(KIND=dp) :: compression_factor, cutoff_old, eps_pgf_orb, eps_pgf_orb_old, eps_svd, &
     273              :          mem_for_abK, mem_for_iaK, mem_for_ijK, memory_3c, occ, omega_pot, rc_ang, &
     274              :          relative_cutoff_old
     275          654 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: e_cutoff_old
     276          654 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: my_Lrows, my_Vrows
     277              :       TYPE(cp_eri_mme_param), POINTER                    :: eri_param
     278          654 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: mat_munu_local_L
     279         3270 :       TYPE(dbt_pgrid_type)                               :: pgrid_t3c_M, pgrid_t3c_overl
     280         8502 :       TYPE(dbt_type)                                     :: t_3c_overl_int_template, t_3c_tmp
     281          654 :       TYPE(dbt_type), ALLOCATABLE, DIMENSION(:, :)       :: t_3c_overl_int
     282              :       TYPE(dft_control_type), POINTER                    :: dft_control
     283              :       TYPE(distribution_3d_type)                         :: dist_3d
     284          654 :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_ao, basis_set_ri_aux
     285              :       TYPE(gto_basis_set_type), POINTER                  :: orb_basis, ri_basis
     286          654 :       TYPE(intermediate_matrix_type)                     :: intermed_mat_bse_ab, intermed_mat_bse_ij
     287              :       TYPE(intermediate_matrix_type), ALLOCATABLE, &
     288          654 :          DIMENSION(:)                                    :: intermed_mat, intermed_mat_gw
     289          654 :       TYPE(mp_cart_type)                                 :: mp_comm_t3c_2
     290              :       TYPE(neighbor_list_3c_type)                        :: nl_3c
     291              :       TYPE(pw_c1d_gs_type)                               :: pot_g, rho_g
     292              :       TYPE(pw_env_type), POINTER                         :: pw_env_sub
     293              :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     294              :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     295              :       TYPE(pw_r3d_rs_type)                               :: psi_L, rho_r
     296              :       TYPE(section_vals_type), POINTER                   :: qs_section
     297              :       TYPE(task_list_type), POINTER                      :: task_list_sub
     298              : 
     299          654 :       CALL timeset(routineN, handle)
     300              : 
     301          654 :       CALL cite_reference(DelBen2013)
     302              : 
     303          654 :       nspins = SIZE(homo)
     304              : 
     305         1962 :       ALLOCATE (virtual(nspins))
     306         1454 :       virtual(:) = nmo - homo(:)
     307          654 :       gw_corr_lev_total = gw_corr_lev_virt + gw_corr_lev_occ
     308              : 
     309          654 :       eri_method = qs_env%mp2_env%eri_method
     310          654 :       eri_param => qs_env%mp2_env%eri_mme_param
     311          654 :       do_svd = qs_env%mp2_env%do_svd
     312          654 :       eps_svd = qs_env%mp2_env%eps_svd
     313          654 :       potential_type = qs_env%mp2_env%potential_parameter%potential_type
     314          654 :       ri_metric_type = ri_metric%potential_type
     315          654 :       omega_pot = qs_env%mp2_env%potential_parameter%omega
     316              : 
     317              :       ! whether we need gpw integrals (plus pw stuff)
     318              :       do_gpw = (eri_method == do_eri_gpw) .OR. &
     319              :                ((potential_type == do_potential_long .OR. ri_metric_type == do_potential_long) &
     320              :                 .AND. qs_env%mp2_env%eri_method == do_eri_os) &
     321          654 :                .OR. (ri_metric_type == do_potential_id .AND. qs_env%mp2_env%eri_method == do_eri_mme)
     322              : 
     323          654 :       IF (do_svd .AND. calc_forces) THEN
     324            0 :          CPABORT("SVD not implemented for forces.!")
     325              :       END IF
     326              : 
     327          654 :       do_kpoints_from_Gamma = qs_env%mp2_env%ri_rpa_im_time%do_kpoints_from_Gamma
     328          654 :       IF (do_kpoints_cubic_RPA .OR. do_kpoints_from_Gamma) THEN
     329              :          CALL get_qs_env(qs_env=qs_env, &
     330           20 :                          kpoints=kpoints)
     331              :       END IF
     332           20 :       IF (do_kpoints_from_Gamma) THEN
     333           16 :          CALL compute_kpoints(qs_env, kpoints, unit_nr)
     334              :       END IF
     335              : 
     336          654 :       IF (do_bse) THEN
     337           30 :          IF (.NOT. my_do_gw) THEN
     338            0 :             CALL cp_abort(__LOCATION__, "BSE calculations require prior GW calculations.")
     339              :          END IF
     340           30 :          IF (do_im_time) THEN
     341            0 :             CALL cp_abort(__LOCATION__, "BSE calculations are not implemented for low-scaling GW.")
     342              :          END IF
     343              :          ! GPW integrals have to be implemented later
     344           30 :          IF (eri_method == do_eri_gpw) THEN
     345              :             CALL cp_abort(__LOCATION__, &
     346              :                           "BSE calculations are not implemented for GPW integrals. "// &
     347              :                           "This is probably caused by invoking a periodic calculation. "// &
     348            0 :                           "Use PERIODIC NONE for BSE calculations.")
     349              :          END IF
     350              :       END IF
     351              : 
     352          654 :       ngroup = para_env%num_pe/para_env_sub%num_pe
     353              : 
     354              :       ! Preparations for MME method to compute ERIs
     355          654 :       IF (qs_env%mp2_env%eri_method == do_eri_mme) THEN
     356              :          ! cell might have changed, so we need to reset parameters
     357          126 :          CALL cp_eri_mme_set_params(eri_param, cell, qs_kind_set, basis_type_1="ORB", basis_type_2="RI_AUX", para_env=para_env)
     358              :       END IF
     359              : 
     360          654 :       CALL get_cell(cell=cell, periodic=periodic)
     361              :       ! for minimax Ewald summation, full periodicity is required
     362          654 :       IF (eri_method == do_eri_mme) THEN
     363          126 :          CPASSERT(periodic(1) == 1 .AND. periodic(2) == 1 .AND. periodic(3) == 1)
     364              :       END IF
     365              : 
     366          654 :       IF (do_svd .AND. (do_kpoints_from_Gamma .OR. do_kpoints_cubic_RPA)) THEN
     367            0 :          CPABORT("SVD with kpoints not implemented yet!")
     368              :       END IF
     369              : 
     370              :       CALL get_2c_integrals(qs_env, eri_method, eri_param, para_env, para_env_sub, mp2_memory, &
     371              :                             my_Lrows, my_Vrows, fm_matrix_PQ, ngroup, color_sub, dimen_RI, dimen_RI_red, &
     372              :                             kpoints, my_group_L_size, my_group_L_start, my_group_L_end, &
     373              :                             gd_array, calc_PQ_cond_num .AND. .NOT. do_svd, do_svd, eps_svd, &
     374              :                             qs_env%mp2_env%potential_parameter, ri_metric, &
     375              :                             fm_matrix_L_kpoints, fm_matrix_Minv_L_kpoints, fm_matrix_Minv, fm_matrix_Minv_Vtrunc_Minv, &
     376              :                             do_im_time, do_kpoints_from_Gamma .OR. do_kpoints_cubic_RPA, qs_env%mp2_env%mp2_gpw%eps_pgf_orb_S, &
     377         1942 :                             qs_kind_set, sab_orb_sub, calc_forces, unit_nr)
     378              : 
     379          654 :       IF (unit_nr > 0) THEN
     380              :          ASSOCIATE (ri_metric => qs_env%mp2_env%ri_metric)
     381          575 :             SELECT CASE (ri_metric%potential_type)
     382              :             CASE (do_potential_coulomb)
     383              :                WRITE (unit_nr, FMT="(/T3,A,T74,A)") &
     384          248 :                   "RI_INFO| RI metric: ", "COULOMB"
     385              :             CASE (do_potential_short)
     386              :                WRITE (unit_nr, FMT="(T3,A,T71,A)") &
     387            0 :                   "RI_INFO| RI metric: ", "SHORTRANGE"
     388              :                WRITE (unit_nr, '(T3,A,T61,F20.10)') &
     389            0 :                   "RI_INFO| Omega:     ", ri_metric%omega
     390            0 :                rc_ang = cp_unit_from_cp2k(ri_metric%cutoff_radius, "angstrom")
     391              :                WRITE (unit_nr, '(T3,A,T61,F20.10)') &
     392            0 :                   "RI_INFO| Cutoff Radius [angstrom]:     ", rc_ang
     393              :             CASE (do_potential_long)
     394              :                WRITE (unit_nr, FMT="(T3,A,T72,A)") &
     395            8 :                   "RI_INFO| RI metric: ", "LONGRANGE"
     396              :                WRITE (unit_nr, '(T3,A,T61,F20.10)') &
     397            8 :                   "RI_INFO| Omega:     ", ri_metric%omega
     398              :             CASE (do_potential_id)
     399              :                WRITE (unit_nr, FMT="(T3,A,T74,A)") &
     400           40 :                   "RI_INFO| RI metric: ", "OVERLAP"
     401              :             CASE (do_potential_truncated)
     402              :                WRITE (unit_nr, FMT="(T3,A,T64,A)") &
     403           31 :                   "RI_INFO| RI metric: ", "TRUNCATED COULOMB"
     404           31 :                rc_ang = cp_unit_from_cp2k(ri_metric%cutoff_radius, "angstrom")
     405              :                WRITE (unit_nr, '(T3,A,T61,F20.2)') &
     406          358 :                   "RI_INFO| Cutoff Radius [angstrom]:     ", rc_ang
     407              :             END SELECT
     408              :          END ASSOCIATE
     409              :       END IF
     410              : 
     411          654 :       IF (calc_forces .AND. .NOT. do_im_time) THEN
     412              :          ! we need (P|Q)^(-1/2) for future use, just save it
     413              :          ! in a fully (home made) distributed way
     414          272 :          itmp = get_limit(dimen_RI, para_env_sub%num_pe, para_env_sub%mepos)
     415          272 :          lll = itmp(2) - itmp(1) + 1
     416         1088 :          ALLOCATE (qs_env%mp2_env%ri_grad%PQ_half(lll, my_group_L_size))
     417       972108 :          qs_env%mp2_env%ri_grad%PQ_half(:, :) = my_Lrows(itmp(1):itmp(2), 1:my_group_L_size)
     418          272 :          IF (.NOT. compare_potential_types(qs_env%mp2_env%ri_metric, qs_env%mp2_env%potential_parameter)) THEN
     419           36 :             ALLOCATE (qs_env%mp2_env%ri_grad%operator_half(lll, my_group_L_size))
     420        41844 :             qs_env%mp2_env%ri_grad%operator_half(:, :) = my_Vrows(itmp(1):itmp(2), 1:my_group_L_size)
     421           12 :             DEALLOCATE (my_Vrows)
     422              :          END IF
     423              :       END IF
     424              : 
     425          654 :       IF (unit_nr > 0) THEN
     426              :          WRITE (UNIT=unit_nr, FMT="(T3,A,T75,i6)") &
     427          327 :             "RI_INFO| Number of auxiliary basis functions:", dimen_RI, &
     428          327 :             "GENERAL_INFO| Number of basis functions:", nmo, &
     429          327 :             "GENERAL_INFO| Number of occupied orbitals:", homo(1), &
     430          654 :             "GENERAL_INFO| Number of virtual orbitals:", virtual(1)
     431          327 :          IF (do_svd) THEN
     432              :             WRITE (UNIT=unit_nr, FMT="(T3,A,T75,i6)") &
     433           22 :                "RI_INFO| Reduced auxiliary basis set size:", dimen_RI_red
     434              :          END IF
     435              : 
     436          727 :          mem_for_iaK = dimen_RI*REAL(SUM(homo*virtual), KIND=dp)*8.0_dp/(1024_dp**2)
     437          654 :          mem_for_ijK = dimen_RI*REAL(SUM([homo(1)]**2), KIND=dp)*8.0_dp/(1024_dp**2)
     438          654 :          mem_for_abK = dimen_RI*REAL(SUM([bse_lev_virt]**2), KIND=dp)*8.0_dp/(1024_dp**2)
     439              : 
     440          327 :          IF (.NOT. do_im_time) THEN
     441          260 :             WRITE (unit_nr, '(T3,A,T66,F11.2,A4)') 'RI_INFO| Total memory for (ia|K) integrals:', &
     442          520 :                mem_for_iaK, ' MiB'
     443          260 :             IF (my_do_gw .AND. .NOT. do_im_time) THEN
     444           29 :                mem_for_iaK = dimen_RI*REAL(nmo, KIND=dp)*gw_corr_lev_total*8.0_dp/(1024_dp**2)
     445              : 
     446           29 :                WRITE (unit_nr, '(T3,A,T66,F11.2,A4)') 'RI_INFO| Total memory for G0W0-(nm|K) integrals:', &
     447           58 :                   mem_for_iaK, ' MiB'
     448              :             END IF
     449              :          END IF
     450          327 :          IF (do_bse) THEN
     451           15 :             WRITE (unit_nr, '(T3,A,T66,F11.2,A4)') 'RI_INFO| Total memory for (ij|K) integrals:', &
     452           30 :                mem_for_ijK, ' MiB'
     453           15 :             WRITE (unit_nr, '(T3,A,T66,F11.2,A4)') 'RI_INFO| Total memory for (ab|K) integrals:', &
     454           30 :                mem_for_abK, ' MiB'
     455              :          END IF
     456          327 :          CALL m_flush(unit_nr)
     457              :       END IF
     458              : 
     459          654 :       CALL para_env%sync() ! sync to see memory output
     460              : 
     461              :       ! in case we do imaginary time, we need the overlap tensor (alpha beta P) or trunc. Coulomb tensor
     462          654 :       IF (.NOT. do_im_time) THEN
     463              : 
     464         3876 :          ALLOCATE (gd_B_virtual(nspins), intermed_mat(nspins))
     465         2080 :          ALLOCATE (my_B_virtual_start(nspins), my_B_virtual_end(nspins), my_B_size(nspins))
     466         1158 :          DO ispin = 1, nspins
     467              : 
     468              :             CALL create_intermediate_matrices(intermed_mat(ispin), mo_coeff_o(ispin)%matrix, virtual(ispin), homo(ispin), &
     469          638 :                                               TRIM(ADJUSTL(cp_to_string(ispin))), blacs_env_sub, para_env_sub)
     470              : 
     471          638 :             CALL create_group_dist(gd_B_virtual(ispin), para_env_sub%num_pe, virtual(ispin))
     472              :             CALL get_group_dist(gd_B_virtual(ispin), para_env_sub%mepos, my_B_virtual_start(ispin), my_B_virtual_end(ispin), &
     473         1158 :                                 my_B_size(ispin))
     474              : 
     475              :          END DO
     476              : 
     477              :          ! in the case of G0W0, we need (K|nm), n,m may be occ or virt (m restricted to corrected levels)
     478          520 :          IF (my_do_gw) THEN
     479              : 
     480          178 :             ALLOCATE (intermed_mat_gw(nspins))
     481          120 :             DO ispin = 1, nspins
     482              :                CALL create_intermediate_matrices(intermed_mat_gw(ispin), mo_coeff_gw(ispin)%matrix, &
     483              :                                                  nmo, gw_corr_lev_total, &
     484              :                                                  "gw_"//TRIM(ADJUSTL(cp_to_string(ispin))), &
     485          120 :                                                  blacs_env_sub, para_env_sub)
     486              : 
     487              :             END DO
     488              : 
     489           58 :             CALL create_group_dist(gd_B_all, para_env_sub%num_pe, nmo)
     490           58 :             CALL get_group_dist(gd_B_all, para_env_sub%mepos, my_B_all_start, my_B_all_end, my_B_all_size)
     491              : 
     492           58 :             IF (do_bse) THEN
     493              :                ! virt x virt matrices
     494              :                CALL create_intermediate_matrices(intermed_mat_bse_ab, mo_coeff_v_bse(1)%matrix, bse_lev_virt, bse_lev_virt, &
     495           30 :                                                  "bse_ab", blacs_env_sub, para_env_sub)
     496              : 
     497           30 :                CALL create_group_dist(gd_B_virt_bse, para_env_sub%num_pe, bse_lev_virt)
     498           30 :                CALL get_group_dist(gd_B_virt_bse, para_env_sub%mepos, my_B_virt_bse_start, my_B_virt_bse_end, my_B_virt_bse_size)
     499              : 
     500              :                ! occ x occ matrices
     501              :                ! We do not implement bse_lev_occ here, because the small number of occupied levels
     502              :                ! does not critically influence the memory
     503              :                CALL create_intermediate_matrices(intermed_mat_bse_ij, mo_coeff_o_bse(1)%matrix, homo(1), homo(1), &
     504           30 :                                                  "bse_ij", blacs_env_sub, para_env_sub)
     505              : 
     506           30 :                CALL create_group_dist(gd_B_occ_bse, para_env_sub%num_pe, homo(1))
     507           30 :                CALL get_group_dist(gd_B_occ_bse, para_env_sub%mepos, my_B_occ_bse_start, my_B_occ_bse_end, my_B_occ_bse_size)
     508              : 
     509              :             END IF
     510              :          END IF
     511              : 
     512              :          ! array that will store the (ia|K) integrals
     513         2198 :          ALLOCATE (BIb_C(nspins))
     514         1158 :          DO ispin = 1, nspins
     515         3184 :             ALLOCATE (BIb_C(ispin)%array(my_group_L_size, my_B_size(ispin), homo(ispin)))
     516      1481848 :             BIb_C(ispin)%array = 0.0_dp
     517              :          END DO
     518              : 
     519              :          ! in the case of GW, we also need (nm|K)
     520          520 :          IF (my_do_gw) THEN
     521              : 
     522          178 :             ALLOCATE (BIb_C_gw(nspins))
     523          120 :             DO ispin = 1, nspins
     524          310 :                ALLOCATE (BIb_C_gw(ispin)%array(my_group_L_size, my_B_all_size, gw_corr_lev_total))
     525       866430 :                BIb_C_gw(ispin)%array = 0.0_dp
     526              :             END DO
     527              : 
     528              :          END IF
     529              : 
     530          520 :          IF (do_bse) THEN
     531              : 
     532          150 :             ALLOCATE (BIb_C_bse_ij(my_group_L_size, my_B_occ_bse_size, homo(1)))
     533        19232 :             BIb_C_bse_ij = 0.0_dp
     534              : 
     535          150 :             ALLOCATE (BIb_C_bse_ab(my_group_L_size, my_B_virt_bse_size, bse_lev_virt))
     536       174814 :             BIb_C_bse_ab = 0.0_dp
     537              : 
     538              :          END IF
     539              : 
     540          520 :          CALL timeset(routineN//"_loop", handle2)
     541              : 
     542              :          IF (eri_method == do_eri_mme .AND. &
     543          520 :              (ri_metric%potential_type == do_potential_coulomb .OR. ri_metric%potential_type == do_potential_long) .OR. &
     544              :              eri_method == do_eri_os .AND. ri_metric%potential_type == do_potential_coulomb) THEN
     545              : 
     546              :             ! Add a warning for automatically generated RI_AUX basis sets
     547              :             ! Tend to be not sufficiently converged
     548          170 :             IF (qs_env%mp2_env%ri_aux_auto_generated) THEN
     549              :                CALL cp_warn(__LOCATION__, &
     550              :                             "At least one RI_AUX basis set was not explicitly invoked in &KIND-section. "// &
     551              :                             "Automatically RI-basis sets and ERI_METHOD OS tend to be not converged. "// &
     552            0 :                             "Consider specifying BASIS_SET RI_AUX explicitly with a sufficiently large basis.")
     553              :             END IF
     554              : 
     555          170 :             NULLIFY (mat_munu_local_L)
     556         5905 :             ALLOCATE (mat_munu_local_L(my_group_L_size))
     557         5565 :             DO LLL = 1, my_group_L_size
     558         5395 :                NULLIFY (mat_munu_local_L(LLL)%matrix)
     559         5395 :                ALLOCATE (mat_munu_local_L(LLL)%matrix)
     560         5395 :                CALL dbcsr_copy(mat_munu_local_L(LLL)%matrix, mat_munu%matrix)
     561         5565 :                CALL dbcsr_set(mat_munu_local_L(LLL)%matrix, 0.0_dp)
     562              :             END DO
     563              :             CALL mp2_eri_3c_integrate(eri_param, ri_metric, para_env_sub, qs_env, &
     564              :                                       first_c=my_group_L_start, last_c=my_group_L_end, &
     565              :                                       mat_ab=mat_munu_local_L, &
     566              :                                       basis_type_a="ORB", basis_type_b="ORB", &
     567              :                                       basis_type_c="RI_AUX", &
     568          170 :                                       sab_nl=sab_orb_sub, eri_method=eri_method)
     569              : 
     570          346 :             DO ispin = 1, nspins
     571         5929 :                DO LLL = 1, my_group_L_size
     572              :                   CALL ao_to_mo_and_store_B(para_env_sub, mat_munu_local_L(LLL), intermed_mat(ispin), &
     573              :                                             BIb_C(ispin)%array(LLL, :, :), &
     574              :                                             mo_coeff_o(ispin)%matrix, mo_coeff_v(ispin)%matrix, &
     575              :                                             eps_filter, &
     576         5929 :                                             my_B_virtual_end(ispin), my_B_virtual_start(ispin))
     577              :                END DO
     578              :                CALL contract_B_L(BIb_C(ispin)%array, my_Lrows, gd_B_virtual(ispin)%sizes, &
     579              :                                  gd_array%sizes, qs_env%mp2_env%eri_blksize, &
     580          346 :                                  ngroup, color_sub, para_env, para_env_sub)
     581              :             END DO
     582              : 
     583          170 :             IF (my_do_gw) THEN
     584              : 
     585          120 :                DO ispin = 1, nspins
     586         2542 :                   DO LLL = 1, my_group_L_size
     587              :                      CALL ao_to_mo_and_store_B(para_env_sub, mat_munu_local_L(LLL), intermed_mat_gw(ispin), &
     588              :                                                BIb_C_gw(ispin)%array(LLL, :, :), &
     589              :                                                mo_coeff_gw(ispin)%matrix, mo_coeff_all(ispin)%matrix, eps_filter, &
     590         2542 :                                                my_B_all_end, my_B_all_start)
     591              :                   END DO
     592              :                   CALL contract_B_L(BIb_C_gw(ispin)%array, my_Lrows, gd_B_all%sizes, gd_array%sizes, qs_env%mp2_env%eri_blksize, &
     593          120 :                                     ngroup, color_sub, para_env, para_env_sub)
     594              :                END DO
     595              :             END IF
     596              : 
     597          170 :             IF (do_bse) THEN
     598              : 
     599              :                ! B^ab_P matrix elements for BSE
     600         1238 :                DO LLL = 1, my_group_L_size
     601              :                   CALL ao_to_mo_and_store_B(para_env_sub, mat_munu_local_L(LLL), intermed_mat_bse_ab, &
     602              :                                             BIb_C_bse_ab(LLL, :, :), &
     603              :                                             mo_coeff_v_bse(1)%matrix, mo_coeff_v_bse(1)%matrix, eps_filter, &
     604         1238 :                                             my_B_all_end, my_B_all_start)
     605              :                END DO
     606              :                CALL contract_B_L(BIb_C_bse_ab, my_Lrows, gd_B_virt_bse%sizes, gd_array%sizes, qs_env%mp2_env%eri_blksize, &
     607           30 :                                  ngroup, color_sub, para_env, para_env_sub)
     608              : 
     609              :                ! B^ij_P matrix elements for BSE
     610         1238 :                DO LLL = 1, my_group_L_size
     611              :                   CALL ao_to_mo_and_store_B(para_env_sub, mat_munu_local_L(LLL), intermed_mat_bse_ij, &
     612              :                                             BIb_C_bse_ij(LLL, :, :), &
     613              :                                             mo_coeff_o(1)%matrix, mo_coeff_o(1)%matrix, eps_filter, &
     614         1238 :                                             my_B_occ_bse_end, my_B_occ_bse_start)
     615              :                END DO
     616              :                CALL contract_B_L(BIb_C_bse_ij, my_Lrows, gd_B_occ_bse%sizes, gd_array%sizes, qs_env%mp2_env%eri_blksize, &
     617           30 :                                  ngroup, color_sub, para_env, para_env_sub)
     618              : 
     619              :             END IF
     620              : 
     621         5565 :             DO LLL = 1, my_group_L_size
     622         5565 :                CALL dbcsr_release_p(mat_munu_local_L(LLL)%matrix)
     623              :             END DO
     624          170 :             DEALLOCATE (mat_munu_local_L)
     625              : 
     626          350 :          ELSE IF (do_gpw) THEN
     627              : 
     628              :             CALL prepare_gpw(qs_env, dft_control, e_cutoff_old, cutoff_old, relative_cutoff_old, para_env_sub, pw_env_sub, &
     629          350 :                              auxbas_pw_pool, poisson_env, task_list_sub, rho_r, rho_g, pot_g, psi_L, sab_orb_sub)
     630              : 
     631        15109 :             DO i_counter = 1, my_group_L_size
     632              : 
     633              :                CALL mp2_eri_3c_integrate_gpw(psi_L, rho_g, atomic_kind_set, qs_kind_set, cell, dft_control, &
     634              :                                              particle_set, pw_env_sub, my_Lrows(:, i_counter), poisson_env, rho_r, pot_g, &
     635        14759 :                                              ri_metric, mat_munu, qs_env, task_list_sub)
     636              : 
     637        34272 :                DO ispin = 1, nspins
     638              :                   CALL ao_to_mo_and_store_B(para_env_sub, mat_munu, intermed_mat(ispin), &
     639              :                                             BIb_C(ispin)%array(i_counter, :, :), &
     640              :                                             mo_coeff_o(ispin)%matrix, mo_coeff_v(ispin)%matrix, eps_filter, &
     641        34272 :                                             my_B_virtual_end(ispin), my_B_virtual_start(ispin))
     642              : 
     643              :                END DO
     644              : 
     645        15109 :                IF (my_do_gw) THEN
     646              :                   ! transform (K|mu nu) to (K|nm), n corresponds to corrected GW levels, m is in nmo
     647            0 :                   DO ispin = 1, nspins
     648              :                      CALL ao_to_mo_and_store_B(para_env_sub, mat_munu, intermed_mat_gw(ispin), &
     649              :                                                BIb_C_gw(ispin)%array(i_counter, :, :), &
     650              :                                                mo_coeff_gw(ispin)%matrix, mo_coeff_all(ispin)%matrix, eps_filter, &
     651            0 :                                                my_B_all_end, my_B_all_start)
     652              : 
     653              :                   END DO
     654              :                END IF
     655              : 
     656              :             END DO
     657              : 
     658              :             CALL cleanup_gpw(qs_env, e_cutoff_old, cutoff_old, relative_cutoff_old, para_env_sub, pw_env_sub, &
     659          350 :                              task_list_sub, auxbas_pw_pool, rho_r, rho_g, pot_g, psi_L)
     660              :          ELSE
     661            0 :             CPABORT("Integration method not implemented!")
     662              :          END IF
     663              : 
     664          520 :          CALL timestop(handle2)
     665              : 
     666          520 :          DEALLOCATE (my_Lrows)
     667              : 
     668         1158 :          DO ispin = 1, nspins
     669         1158 :             CALL release_intermediate_matrices(intermed_mat(ispin))
     670              :          END DO
     671         1158 :          DEALLOCATE (intermed_mat)
     672              : 
     673          520 :          IF (my_do_gw) THEN
     674          120 :             DO ispin = 1, nspins
     675          120 :                CALL release_intermediate_matrices(intermed_mat_gw(ispin))
     676              :             END DO
     677          120 :             DEALLOCATE (intermed_mat_gw)
     678              :          END IF
     679              : 
     680         1040 :          IF (do_bse) THEN
     681           30 :             CALL release_intermediate_matrices(intermed_mat_bse_ab)
     682           30 :             CALL release_intermediate_matrices(intermed_mat_bse_ij)
     683              :          END IF
     684              : 
     685              :          ! imag. time = low-scaling SOS-MP2, RPA, GW
     686              :       ELSE
     687              : 
     688          134 :          memory_info = qs_env%mp2_env%ri_rpa_im_time%memory_info
     689              : 
     690              :          ! we need 3 tensors:
     691              :          ! 1) t_3c_overl_int: 3c overlap integrals, optimized for easy access to integral blocks
     692              :          !                   (atomic blocks)
     693              :          ! 2) t_3c_O: 3c overlap integrals, optimized for contraction (split blocks)
     694              :          ! 3) t_3c_M: tensor M, optimized for contraction
     695              : 
     696          134 :          CALL get_qs_env(qs_env, natom=natom, nkind=nkind, dft_control=dft_control)
     697              : 
     698          134 :          pdims_t3c = 0
     699          134 :          CALL dbt_pgrid_create(para_env, pdims_t3c, pgrid_t3c_overl)
     700              : 
     701              :          ! set up basis
     702          536 :          ALLOCATE (sizes_RI(natom), sizes_AO(natom))
     703         1068 :          ALLOCATE (basis_set_ri_aux(nkind), basis_set_ao(nkind))
     704          134 :          CALL basis_set_list_setup(basis_set_ri_aux, "RI_AUX", qs_kind_set)
     705          134 :          CALL get_particle_set(particle_set, qs_kind_set, nsgf=sizes_RI, basis=basis_set_ri_aux)
     706          134 :          CALL basis_set_list_setup(basis_set_ao, "ORB", qs_kind_set)
     707          134 :          CALL get_particle_set(particle_set, qs_kind_set, nsgf=sizes_AO, basis=basis_set_ao)
     708              : 
     709              :          ! make sure we use the QS%EPS_PGF_ORB
     710          134 :          qs_section => section_vals_get_subs_vals(qs_env%input, "DFT%QS")
     711          134 :          CALL section_vals_val_get(qs_section, "EPS_PGF_ORB", n_rep_val=n_rep)
     712          134 :          IF (n_rep /= 0) THEN
     713           80 :             CALL section_vals_val_get(qs_section, "EPS_PGF_ORB", r_val=eps_pgf_orb)
     714              :          ELSE
     715           54 :             CALL section_vals_val_get(qs_section, "EPS_DEFAULT", r_val=eps_pgf_orb)
     716           54 :             eps_pgf_orb = SQRT(eps_pgf_orb)
     717              :          END IF
     718          134 :          eps_pgf_orb_old = dft_control%qs_control%eps_pgf_orb
     719              : 
     720          400 :          DO ibasis = 1, SIZE(basis_set_ao)
     721          266 :             orb_basis => basis_set_ao(ibasis)%gto_basis_set
     722          266 :             CALL init_interaction_radii_orb_basis(orb_basis, eps_pgf_orb)
     723          266 :             ri_basis => basis_set_ri_aux(ibasis)%gto_basis_set
     724          400 :             CALL init_interaction_radii_orb_basis(ri_basis, eps_pgf_orb)
     725              :          END DO
     726              : 
     727          134 :          cut_memory_int = qs_env%mp2_env%ri_rpa_im_time%cut_memory
     728              :          CALL create_tensor_batches(sizes_RI, cut_memory_int, starts_array_mc_int, ends_array_mc_int, &
     729          134 :                                     starts_array_mc_block_int, ends_array_mc_block_int)
     730              : 
     731          134 :          DEALLOCATE (starts_array_mc_int, ends_array_mc_int)
     732              : 
     733              :          CALL create_3c_tensor(t_3c_overl_int_template, dist_RI, dist_AO_1, dist_AO_2, pgrid_t3c_overl, &
     734              :                                sizes_RI, sizes_AO, sizes_AO, map1=[1, 2], map2=[3], &
     735          134 :                                name="O (RI AO | AO)")
     736              : 
     737          134 :          CALL get_qs_env(qs_env, nkind=nkind, particle_set=particle_set)
     738          134 :          CALL dbt_mp_environ_pgrid(pgrid_t3c_overl, pdims, pcoord)
     739          134 :          CALL mp_comm_t3c_2%create(pgrid_t3c_overl%mp_comm_2d, 3, pdims)
     740              :          CALL distribution_3d_create(dist_3d, dist_RI, dist_AO_1, dist_AO_2, &
     741          134 :                                      nkind, particle_set, mp_comm_t3c_2, own_comm=.TRUE.)
     742          134 :          DEALLOCATE (dist_RI, dist_AO_1, dist_AO_2)
     743              : 
     744              :          CALL build_3c_neighbor_lists(nl_3c, basis_set_ri_aux, basis_set_ao, basis_set_ao, &
     745              :                                       dist_3d, ri_metric, "RPA_3c_nl", qs_env, &
     746          134 :                                       sym_jk=.NOT. do_kpoints_cubic_RPA, own_dist=.TRUE.)
     747              : 
     748              :          ! init k points
     749          134 :          IF (do_kpoints_cubic_RPA) THEN
     750              :             ! set up new kpoint type with periodic images according to eps_grid from MP2 section
     751              :             ! instead of eps_pgf_orb from QS section
     752            4 :             CALL kpoint_init_cell_index(kpoints, nl_3c%jk_list, para_env, dft_control)
     753            4 :             IF (unit_nr > 0) WRITE (UNIT=unit_nr, FMT="(T3,A,T75,i6)") &
     754            2 :                "3C_OVERLAP_INTEGRALS_INFO| Number of periodic images considered:", dft_control%nimages
     755              : 
     756            4 :             nimg = dft_control%nimages
     757              :          ELSE
     758              :             nimg = 1
     759              :          END IF
     760              : 
     761         1720 :          ALLOCATE (t_3c_overl_int(nimg, nimg))
     762              : 
     763          284 :          DO i = 1, SIZE(t_3c_overl_int, 1)
     764          514 :             DO j = 1, SIZE(t_3c_overl_int, 2)
     765          380 :                CALL dbt_create(t_3c_overl_int_template, t_3c_overl_int(i, j))
     766              :             END DO
     767              :          END DO
     768              : 
     769          134 :          CALL dbt_destroy(t_3c_overl_int_template)
     770              : 
     771              :          ! split blocks to improve load balancing for tensor contraction
     772          134 :          min_bsize = qs_env%mp2_env%ri_rpa_im_time%min_bsize
     773              : 
     774          134 :          CALL pgf_block_sizes(atomic_kind_set, basis_set_ao, min_bsize, sizes_AO_split)
     775          134 :          CALL pgf_block_sizes(atomic_kind_set, basis_set_ri_aux, min_bsize, sizes_RI_split)
     776              : 
     777          134 :          pdims_t3c = 0
     778          134 :          CALL dbt_pgrid_create(para_env, pdims_t3c, pgrid_t3c_M)
     779              : 
     780              :          ASSOCIATE (cut_memory => qs_env%mp2_env%ri_rpa_im_time%cut_memory)
     781              :             CALL create_tensor_batches(sizes_AO_split, cut_memory, starts_array_mc, ends_array_mc, &
     782          134 :                                        starts_array_mc_block, ends_array_mc_block)
     783              :             CALL create_tensor_batches(sizes_RI_split, cut_memory, &
     784              :                                        qs_env%mp2_env%ri_rpa_im_time%starts_array_mc_RI, &
     785              :                                        qs_env%mp2_env%ri_rpa_im_time%ends_array_mc_RI, &
     786              :                                        qs_env%mp2_env%ri_rpa_im_time%starts_array_mc_block_RI, &
     787          268 :                                        qs_env%mp2_env%ri_rpa_im_time%ends_array_mc_block_RI)
     788              : 
     789              :          END ASSOCIATE
     790          134 :          cut_memory = qs_env%mp2_env%ri_rpa_im_time%cut_memory
     791              : 
     792              :          CALL create_3c_tensor(t_3c_M, dist_RI, dist_AO_1, dist_AO_2, pgrid_t3c_M, &
     793              :                                sizes_RI_split, sizes_AO_split, sizes_AO_split, &
     794              :                                map1=[1], map2=[2, 3], &
     795          134 :                                name="M (RI | AO AO)")
     796          134 :          DEALLOCATE (dist_RI, dist_AO_1, dist_AO_2)
     797          134 :          CALL dbt_pgrid_destroy(pgrid_t3c_M)
     798              : 
     799         1720 :          ALLOCATE (t_3c_O(SIZE(t_3c_overl_int, 1), SIZE(t_3c_overl_int, 2)))
     800       284650 :          ALLOCATE (t_3c_O_compressed(SIZE(t_3c_overl_int, 1), SIZE(t_3c_overl_int, 2), cut_memory))
     801         1642 :          ALLOCATE (t_3c_O_ind(SIZE(t_3c_overl_int, 1), SIZE(t_3c_overl_int, 2), cut_memory))
     802              :          CALL create_3c_tensor(t_3c_O(1, 1), dist_RI, dist_AO_1, dist_AO_2, pgrid_t3c_overl, &
     803              :                                sizes_RI_split, sizes_AO_split, sizes_AO_split, &
     804              :                                map1=[1, 2], map2=[3], &
     805          134 :                                name="O (RI AO | AO)")
     806          134 :          DEALLOCATE (dist_RI, dist_AO_1, dist_AO_2)
     807          134 :          CALL dbt_pgrid_destroy(pgrid_t3c_overl)
     808              : 
     809          284 :          DO i = 1, SIZE(t_3c_O, 1)
     810          514 :             DO j = 1, SIZE(t_3c_O, 2)
     811          380 :                IF (i > 1 .OR. j > 1) CALL dbt_create(t_3c_O(1, 1), t_3c_O(i, j))
     812              :             END DO
     813              :          END DO
     814              : 
     815              :          ! build integrals in batches and copy to optimized format
     816              :          ! note: integrals are stored in terms of atomic blocks. To avoid a memory bottleneck,
     817              :          ! integrals are calculated in batches and copied to optimized format with subatomic blocks
     818              : 
     819          370 :          DO cm = 1, cut_memory_int
     820              :             CALL build_3c_integrals(t_3c_overl_int, &
     821              :                                     qs_env%mp2_env%ri_rpa_im_time%eps_filter/2, &
     822              :                                     qs_env, &
     823              :                                     nl_3c, &
     824              :                                     int_eps=qs_env%mp2_env%ri_rpa_im_time%eps_filter/2, &
     825              :                                     basis_i=basis_set_ri_aux, &
     826              :                                     basis_j=basis_set_ao, basis_k=basis_set_ao, &
     827              :                                     potential_parameter=ri_metric, &
     828              :                                     do_kpoints=do_kpoints_cubic_RPA, &
     829          708 :                                     bounds_i=[starts_array_mc_block_int(cm), ends_array_mc_block_int(cm)], desymmetrize=.FALSE.)
     830          236 :             CALL timeset(routineN//"_copy_3c", handle4)
     831              :             ! copy integral tensor t_3c_overl_int to t_3c_O tensor optimized for contraction
     832          496 :             DO i = 1, SIZE(t_3c_overl_int, 1)
     833          876 :                DO j = 1, SIZE(t_3c_overl_int, 2)
     834              : 
     835              :                   CALL dbt_copy(t_3c_overl_int(i, j), t_3c_O(i, j), order=[1, 3, 2], &
     836          380 :                                 summation=.TRUE., move_data=.TRUE.)
     837          380 :                   CALL dbt_clear(t_3c_overl_int(i, j))
     838          380 :                   CALL dbt_filter(t_3c_O(i, j), qs_env%mp2_env%ri_rpa_im_time%eps_filter/2)
     839              :                   ! rescaling, probably because of neighbor list
     840          640 :                   IF (do_kpoints_cubic_RPA .AND. cm == cut_memory_int) THEN
     841          100 :                      CALL dbt_scale(t_3c_O(i, j), 0.5_dp)
     842              :                   END IF
     843              :                END DO
     844              :             END DO
     845          606 :             CALL timestop(handle4)
     846              :          END DO
     847              : 
     848          284 :          DO i = 1, SIZE(t_3c_overl_int, 1)
     849          514 :             DO j = 1, SIZE(t_3c_overl_int, 2)
     850          380 :                CALL dbt_destroy(t_3c_overl_int(i, j))
     851              :             END DO
     852              :          END DO
     853          364 :          DEALLOCATE (t_3c_overl_int)
     854              : 
     855          134 :          CALL timeset(routineN//"_copy_3c", handle4)
     856              :          ! desymmetrize
     857          134 :          CALL dbt_create(t_3c_O(1, 1), t_3c_tmp)
     858          284 :          DO jcell = 1, nimg
     859          474 :             DO kcell = 1, jcell
     860          190 :                CALL dbt_copy(t_3c_O(jcell, kcell), t_3c_tmp)
     861          190 :                CALL dbt_copy(t_3c_tmp, t_3c_O(kcell, jcell), order=[1, 3, 2], summation=.TRUE., move_data=.TRUE.)
     862          340 :                CALL dbt_filter(t_3c_O(kcell, jcell), qs_env%mp2_env%ri_rpa_im_time%eps_filter)
     863              :             END DO
     864              :          END DO
     865          284 :          DO jcell = 1, nimg
     866          324 :             DO kcell = jcell + 1, nimg
     867           40 :                CALL dbt_copy(t_3c_O(jcell, kcell), t_3c_tmp)
     868           40 :                CALL dbt_copy(t_3c_tmp, t_3c_O(kcell, jcell), order=[1, 3, 2], summation=.FALSE., move_data=.TRUE.)
     869          190 :                CALL dbt_filter(t_3c_O(kcell, jcell), qs_env%mp2_env%ri_rpa_im_time%eps_filter)
     870              :             END DO
     871              :          END DO
     872              : 
     873          134 :          CALL dbt_get_info(t_3c_O(1, 1), nfull_total=bounds_3c)
     874          134 :          CALL get_tensor_occupancy(t_3c_O(1, 1), nze, occ)
     875          134 :          memory_3c = 0.0_dp
     876              : 
     877          402 :          bounds(:, 1) = [1, bounds_3c(1)]
     878          402 :          bounds(:, 3) = [1, bounds_3c(3)]
     879          284 :          DO i = 1, SIZE(t_3c_O, 1)
     880          514 :             DO j = 1, SIZE(t_3c_O, 2)
     881          642 :                DO i_mem = 1, cut_memory
     882         1236 :                   bounds(:, 2) = [starts_array_mc(i_mem), ends_array_mc(i_mem)]
     883          412 :                   CALL dbt_copy(t_3c_O(i, j), t_3c_tmp, bounds=bounds)
     884              : 
     885          412 :                   CALL alloc_containers(t_3c_O_compressed(i, j, i_mem), 1)
     886              :                   CALL compress_tensor(t_3c_tmp, t_3c_O_ind(i, j, i_mem)%ind, &
     887              :                                        t_3c_O_compressed(i, j, i_mem), &
     888          642 :                                        qs_env%mp2_env%ri_rpa_im_time%eps_compress, memory_3c)
     889              :                END DO
     890          380 :                CALL dbt_clear(t_3c_O(i, j))
     891              :             END DO
     892              :          END DO
     893              : 
     894          134 :          CALL para_env%sum(memory_3c)
     895              : 
     896          134 :          compression_factor = REAL(nze, dp)*1.0E-06*8.0_dp/memory_3c
     897              : 
     898          134 :          IF (unit_nr > 0) THEN
     899              :             WRITE (UNIT=unit_nr, FMT="((T3,A,T66,F11.2,A4))") &
     900           67 :                "MEMORY_INFO| Memory for 3-center integrals (compressed):", memory_3c, ' MiB'
     901              : 
     902              :             WRITE (UNIT=unit_nr, FMT="((T3,A,T60,F21.2))") &
     903           67 :                "MEMORY_INFO| Compression factor:                  ", compression_factor
     904              :          END IF
     905              : 
     906          134 :          CALL dbt_destroy(t_3c_tmp)
     907              : 
     908          134 :          CALL timestop(handle4)
     909              : 
     910          400 :          DO ibasis = 1, SIZE(basis_set_ao)
     911          266 :             orb_basis => basis_set_ao(ibasis)%gto_basis_set
     912          266 :             CALL init_interaction_radii_orb_basis(orb_basis, eps_pgf_orb_old)
     913          266 :             ri_basis => basis_set_ri_aux(ibasis)%gto_basis_set
     914          400 :             CALL init_interaction_radii_orb_basis(ri_basis, eps_pgf_orb_old)
     915              :          END DO
     916              : 
     917          134 :          DEALLOCATE (basis_set_ri_aux, basis_set_ao)
     918              : 
     919         1206 :          CALL neighbor_list_3c_destroy(nl_3c)
     920              : 
     921              :       END IF
     922              : 
     923          654 :       CALL timestop(handle)
     924              : 
     925         2616 :    END SUBROUTINE mp2_ri_gpw_compute_in
     926              : 
     927              : ! **************************************************************************************************
     928              : !> \brief Contract (P|ai) = (R|P) x (R|ai)
     929              : !> \param BIb_C (R|ai)
     930              : !> \param my_Lrows (R|P)
     931              : !> \param sizes_B number of a (virtual) indices per subgroup process
     932              : !> \param sizes_L number of P / R (auxiliary) indices per subgroup
     933              : !> \param blk_size ...
     934              : !> \param ngroup how many subgroups (NG)
     935              : !> \param igroup subgroup color
     936              : !> \param mp_comm communicator
     937              : !> \param para_env_sub ...
     938              : ! **************************************************************************************************
     939          298 :    SUBROUTINE contract_B_L(BIb_C, my_Lrows, sizes_B, sizes_L, blk_size, ngroup, igroup, mp_comm, para_env_sub)
     940              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(INOUT)   :: BIb_C
     941              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: my_Lrows
     942              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: sizes_B, sizes_L
     943              :       INTEGER, DIMENSION(2), INTENT(IN)                  :: blk_size
     944              :       INTEGER, INTENT(IN)                                :: ngroup, igroup
     945              : 
     946              :       CLASS(mp_comm_type), INTENT(IN)                    :: mp_comm
     947              :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
     948              : 
     949              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'contract_B_L'
     950              :       LOGICAL, PARAMETER                                 :: debug = .FALSE.
     951              : 
     952              :       INTEGER                                            :: check_proc, handle, i, iend, ii, ioff, &
     953              :                                                             istart, loc_a, loc_P, nblk_per_thread
     954          298 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: block_ind_L_P, block_ind_L_R
     955              :       INTEGER, DIMENSION(1)                              :: dist_B_i, map_B_1, map_L_1, map_L_2, &
     956              :                                                             sizes_i
     957              :       INTEGER, DIMENSION(2)                              :: map_B_2, pdims_L
     958              :       INTEGER, DIMENSION(3)                              :: pdims_B
     959              :       LOGICAL                                            :: found
     960          596 :       INTEGER, DIMENSION(ngroup)                         :: dist_L_P, dist_L_R
     961          596 :       INTEGER, DIMENSION(para_env_sub%num_pe)            :: dist_B_a
     962         5066 :       TYPE(dbt_distribution_type)                        :: dist_B, dist_L
     963         1490 :       TYPE(dbt_pgrid_type)                               :: mp_comm_B, mp_comm_L
     964         7450 :       TYPE(dbt_type)                                     :: tB_in, tB_in_split, tB_out, &
     965         7450 :                                                             tB_out_split, tL, tL_split
     966              : 
     967          298 :       CALL timeset(routineN, handle)
     968              : 
     969          298 :       sizes_i(1) = SIZE(BIb_C, 3)
     970              : 
     971              :       ASSOCIATE (nproc => para_env_sub%num_pe, iproc => para_env_sub%mepos, iproc_glob => mp_comm%mepos)
     972              : 
     973              :          ! local block index for R/P and a
     974          298 :          loc_P = igroup + 1; loc_a = iproc + 1
     975              : 
     976            0 :          CPASSERT(SIZE(sizes_L) == ngroup)
     977          298 :          CPASSERT(SIZE(sizes_B) == nproc)
     978          298 :          CPASSERT(sizes_L(loc_P) == SIZE(BIb_C, 1))
     979          298 :          CPASSERT(sizes_L(loc_P) == SIZE(my_Lrows, 2))
     980          298 :          CPASSERT(sizes_B(loc_a) == SIZE(BIb_C, 2))
     981              : 
     982              :          ! Tensor distributions as follows:
     983              :          ! Process grid NG x Nw
     984              :          ! Each process has coordinates (np, nw)
     985              :          ! tB_in: (R|ai): R distributed (np), a distributed (nw)
     986              :          ! tB_out: (P|ai): P distributed (np), a distributed (nw)
     987              :          ! tL: (R|P): R distributed (nw), P distributed (np)
     988              : 
     989              :          ! define mappings between tensor index and matrix index:
     990              :          ! (R|ai) and (P|ai):
     991          298 :          map_B_1 = [1] ! index 1 (R or P) maps to 1st matrix index (np distributed)
     992          298 :          map_B_2 = [2, 3] ! indices 2, 3 (a, i) map to 2nd matrix index (nw distributed)
     993              :          ! (R|P):
     994          298 :          map_L_1 = [2] ! index 2 (P) maps to 1st matrix index (np distributed)
     995          298 :          map_L_2 = [1] ! index 1 (R) maps to 2nd matrix index (nw distributed)
     996              : 
     997              :          ! derive nd process grid that is compatible with distributions and 2d process grid
     998              :          ! (R|ai) / (P|ai) on process grid NG x Nw x 1
     999              :          ! (R|P) on process grid NG x Nw
    1000         1192 :          pdims_B = [ngroup, nproc, 1]
    1001          894 :          pdims_L = [nproc, ngroup]
    1002              : 
    1003          298 :          CALL dbt_pgrid_create(mp_comm, pdims_B, mp_comm_B)
    1004          298 :          CALL dbt_pgrid_create(mp_comm, pdims_L, mp_comm_L)
    1005              : 
    1006              :          ! setup distribution vectors such that distribution matches parallel data layout of BIb_C and my_Lrows
    1007          298 :          dist_B_i = [0]
    1008         1204 :          dist_B_a = [(i, i=0, nproc - 1)]
    1009         1776 :          dist_L_R = [(MODULO(i, nproc), i=0, ngroup - 1)] ! R index is replicated in my_Lrows, we impose a cyclic distribution
    1010         1776 :          dist_L_P = [(i, i=0, ngroup - 1)]
    1011              : 
    1012              :          ! create distributions and tensors
    1013          298 :          CALL dbt_distribution_new(dist_B, mp_comm_B, dist_L_P, dist_B_a, dist_B_i)
    1014          298 :          CALL dbt_distribution_new(dist_L, mp_comm_L, dist_L_R, dist_L_P)
    1015              : 
    1016          298 :          CALL dbt_create(tB_in, "(R|ai)", dist_B, map_B_1, map_B_2, sizes_L, sizes_B, sizes_i)
    1017          298 :          CALL dbt_create(tB_out, "(P|ai)", dist_B, map_B_1, map_B_2, sizes_L, sizes_B, sizes_i)
    1018          298 :          CALL dbt_create(tL, "(R|P)", dist_L, map_L_1, map_L_2, sizes_L, sizes_L)
    1019              : 
    1020              :          IF (debug) THEN
    1021              :             ! check that tensor distribution is correct
    1022              :             CALL dbt_get_stored_coordinates(tB_in, [loc_P, loc_a, 1], check_proc)
    1023              :             CPASSERT(check_proc == iproc_glob)
    1024              :          END IF
    1025              : 
    1026              :          ! reserve (R|ai) block
    1027          298 : !$OMP PARALLEL DEFAULT(NONE) SHARED(tB_in,loc_P,loc_a)
    1028              :          CALL dbt_reserve_blocks(tB_in, [loc_P], [loc_a], [1])
    1029              : !$OMP END PARALLEL
    1030              : 
    1031              :          ! reserve (R|P) blocks
    1032              :          ! in my_Lrows, R index is replicated. For (R|P), we distribute quadratic blocks cyclically over
    1033              :          ! the processes in a subgroup.
    1034              :          ! There are NG blocks, so each process holds at most NG/Nw+1 blocks.
    1035          894 :          ALLOCATE (block_ind_L_R(ngroup/nproc + 1))
    1036          596 :          ALLOCATE (block_ind_L_P(ngroup/nproc + 1))
    1037         2360 :          block_ind_L_R(:) = 0; block_ind_L_P(:) = 0
    1038              :          ii = 0
    1039          888 :          DO i = 1, ngroup
    1040         1770 :             CALL dbt_get_stored_coordinates(tL, [i, loc_P], check_proc)
    1041          888 :             IF (check_proc == iproc_glob) THEN
    1042          587 :                ii = ii + 1
    1043          587 :                block_ind_L_R(ii) = i
    1044          587 :                block_ind_L_P(ii) = loc_P
    1045              :             END IF
    1046              :          END DO
    1047              : 
    1048              : !TODO: Parallelize creation of block list.
    1049              : !$OMP PARALLEL DEFAULT(NONE) SHARED(tL,block_ind_L_R,block_ind_L_P,ii) &
    1050          298 : !$OMP PRIVATE(nblk_per_thread,istart,iend)
    1051              :          nblk_per_thread = ii/omp_get_num_threads() + 1
    1052              :          istart = omp_get_thread_num()*nblk_per_thread + 1
    1053              :          iend = MIN(istart + nblk_per_thread, ii)
    1054              :          CALL dbt_reserve_blocks(tL, block_ind_L_R(istart:iend), block_ind_L_P(istart:iend))
    1055              : !$OMP END PARALLEL
    1056              : 
    1057              :          ! insert (R|ai) block
    1058         2086 :          CALL dbt_put_block(tB_in, [loc_P, loc_a, 1], SHAPE(BIb_C), BIb_C)
    1059              : 
    1060              :          ! insert (R|P) blocks
    1061          298 :          ioff = 0
    1062         1186 :          DO i = 1, ngroup
    1063          590 :             istart = ioff + 1; iend = ioff + sizes_L(i)
    1064          590 :             ioff = ioff + sizes_L(i)
    1065         1770 :             CALL dbt_get_stored_coordinates(tL, [i, loc_P], check_proc)
    1066          888 :             IF (check_proc == iproc_glob) THEN
    1067       791234 :                CALL dbt_put_block(tL, [i, loc_P], [sizes_L(i), sizes_L(loc_P)], my_Lrows(istart:iend, :))
    1068              :             END IF
    1069              :          END DO
    1070              :       END ASSOCIATE
    1071              : 
    1072         1192 :       CALL dbt_split_blocks(tB_in, tB_in_split, [blk_size(2), blk_size(1), blk_size(1)])
    1073          894 :       CALL dbt_split_blocks(tL, tL_split, [blk_size(2), blk_size(2)])
    1074         1192 :       CALL dbt_split_blocks(tB_out, tB_out_split, [blk_size(2), blk_size(1), blk_size(1)])
    1075              : 
    1076              :       ! contract
    1077              :       CALL dbt_contract(alpha=1.0_dp, tensor_1=tB_in_split, tensor_2=tL_split, &
    1078              :                         beta=0.0_dp, tensor_3=tB_out_split, &
    1079              :                         contract_1=[1], notcontract_1=[2, 3], &
    1080              :                         contract_2=[1], notcontract_2=[2], &
    1081          298 :                         map_1=[2, 3], map_2=[1], optimize_dist=.TRUE.)
    1082              : 
    1083              :       ! retrieve local block of contraction result (P|ai)
    1084          298 :       CALL dbt_copy(tB_out_split, tB_out)
    1085              : 
    1086         2086 :       CALL dbt_get_block(tB_out, [loc_P, loc_a, 1], SHAPE(BIb_C), BIb_C, found)
    1087          298 :       CPASSERT(found)
    1088              : 
    1089              :       ! cleanup
    1090          298 :       CALL dbt_destroy(tB_in)
    1091          298 :       CALL dbt_destroy(tB_in_split)
    1092          298 :       CALL dbt_destroy(tB_out)
    1093          298 :       CALL dbt_destroy(tB_out_split)
    1094          298 :       CALL dbt_destroy(tL)
    1095          298 :       CALL dbt_destroy(tL_split)
    1096              : 
    1097          298 :       CALL dbt_distribution_destroy(dist_B)
    1098          298 :       CALL dbt_distribution_destroy(dist_L)
    1099              : 
    1100          298 :       CALL dbt_pgrid_destroy(mp_comm_B)
    1101          298 :       CALL dbt_pgrid_destroy(mp_comm_L)
    1102              : 
    1103          298 :       CALL timestop(handle)
    1104              : 
    1105          596 :    END SUBROUTINE contract_B_L
    1106              : 
    1107              : ! **************************************************************************************************
    1108              : !> \brief Encapsulate building of intermediate matrices matrix_ia_jnu(_beta
    1109              : !>         matrix_ia_jb(_beta),fm_BIb_jb(_beta),matrix_in_jnu(for G0W0) and
    1110              : !>         fm_BIb_all(for G0W0)
    1111              : !> \param intermed_mat ...
    1112              : !> \param mo_coeff_templ ...
    1113              : !> \param size_1 ...
    1114              : !> \param size_2 ...
    1115              : !> \param matrix_name_2 ...
    1116              : !> \param blacs_env_sub ...
    1117              : !> \param para_env_sub ...
    1118              : !> \author Jan Wilhelm
    1119              : ! **************************************************************************************************
    1120            0 :    SUBROUTINE create_intermediate_matrices(intermed_mat, mo_coeff_templ, size_1, size_2, &
    1121              :                                            matrix_name_2, blacs_env_sub, para_env_sub)
    1122              : 
    1123              :       TYPE(intermediate_matrix_type), INTENT(OUT)        :: intermed_mat
    1124              :       TYPE(dbcsr_type), INTENT(INOUT)                    :: mo_coeff_templ
    1125              :       INTEGER, INTENT(IN)                                :: size_1, size_2
    1126              :       CHARACTER(LEN=*), INTENT(IN)                       :: matrix_name_2
    1127              :       TYPE(cp_blacs_env_type), POINTER                   :: blacs_env_sub
    1128              :       TYPE(mp_para_env_type), POINTER                    :: para_env_sub
    1129              : 
    1130              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'create_intermediate_matrices'
    1131              : 
    1132              :       INTEGER                                            :: handle, ncol_local, nfullcols_total, &
    1133              :                                                             nfullrows_total, nrow_local
    1134          760 :       INTEGER, DIMENSION(:), POINTER                     :: col_indices, row_indices
    1135              :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct
    1136              : 
    1137          760 :       CALL timeset(routineN, handle)
    1138              : 
    1139              :       ! initialize and create the matrix (K|jnu)
    1140          760 :       CALL dbcsr_create(intermed_mat%matrix_ia_jnu, template=mo_coeff_templ)
    1141              : 
    1142              :       ! Allocate Sparse matrices: (K|jb)
    1143              :       CALL cp_dbcsr_m_by_n_from_template(intermed_mat%matrix_ia_jb, template=mo_coeff_templ, m=size_2, n=size_1, &
    1144          760 :                                          sym=dbcsr_type_no_symmetry)
    1145              : 
    1146              :       ! set all to zero in such a way that the memory is actually allocated
    1147          760 :       CALL dbcsr_set(intermed_mat%matrix_ia_jnu, 0.0_dp)
    1148          760 :       CALL dbcsr_set(intermed_mat%matrix_ia_jb, 0.0_dp)
    1149              : 
    1150              :       ! create the analogous of matrix_ia_jb in fm type
    1151          760 :       NULLIFY (fm_struct)
    1152          760 :       CALL dbcsr_get_info(intermed_mat%matrix_ia_jb, nfullrows_total=nfullrows_total, nfullcols_total=nfullcols_total)
    1153              :       CALL cp_fm_struct_create(fm_struct, context=blacs_env_sub, nrow_global=nfullrows_total, &
    1154          760 :                                ncol_global=nfullcols_total, para_env=para_env_sub)
    1155          760 :       CALL cp_fm_create(intermed_mat%fm_BIb_jb, fm_struct, name="fm_BIb_jb_"//matrix_name_2)
    1156              : 
    1157          760 :       CALL copy_dbcsr_to_fm(intermed_mat%matrix_ia_jb, intermed_mat%fm_BIb_jb)
    1158          760 :       CALL cp_fm_struct_release(fm_struct)
    1159              : 
    1160              :       CALL cp_fm_get_info(matrix=intermed_mat%fm_BIb_jb, &
    1161              :                           nrow_local=nrow_local, &
    1162              :                           ncol_local=ncol_local, &
    1163              :                           row_indices=row_indices, &
    1164          760 :                           col_indices=col_indices)
    1165              : 
    1166          760 :       intermed_mat%max_row_col_local = MAX(nrow_local, ncol_local)
    1167          760 :       CALL para_env_sub%max(intermed_mat%max_row_col_local)
    1168              : 
    1169         3040 :       ALLOCATE (intermed_mat%local_col_row_info(0:intermed_mat%max_row_col_local, 2))
    1170        27244 :       intermed_mat%local_col_row_info = 0
    1171              :       ! 0,1 nrows
    1172          760 :       intermed_mat%local_col_row_info(0, 1) = nrow_local
    1173         4173 :       intermed_mat%local_col_row_info(1:nrow_local, 1) = row_indices(1:nrow_local)
    1174              :       ! 0,2 ncols
    1175          760 :       intermed_mat%local_col_row_info(0, 2) = ncol_local
    1176        12374 :       intermed_mat%local_col_row_info(1:ncol_local, 2) = col_indices(1:ncol_local)
    1177              : 
    1178          760 :       intermed_mat%descr = matrix_name_2
    1179              : 
    1180          760 :       CALL timestop(handle)
    1181              : 
    1182         2280 :    END SUBROUTINE create_intermediate_matrices
    1183              : 
    1184              : ! **************************************************************************************************
    1185              : !> \brief Encapsulate ERI postprocessing: AO to MO transformation and store in B matrix.
    1186              : !> \param para_env ...
    1187              : !> \param mat_munu ...
    1188              : !> \param intermed_mat ...
    1189              : !> \param BIb_jb ...
    1190              : !> \param mo_coeff_o ...
    1191              : !> \param mo_coeff_v ...
    1192              : !> \param eps_filter ...
    1193              : !> \param my_B_end ...
    1194              : !> \param my_B_start ...
    1195              : ! **************************************************************************************************
    1196        30162 :    SUBROUTINE ao_to_mo_and_store_B(para_env, mat_munu, intermed_mat, BIb_jb, &
    1197              :                                    mo_coeff_o, mo_coeff_v, eps_filter, &
    1198              :                                    my_B_end, my_B_start)
    1199              :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env
    1200              :       TYPE(dbcsr_p_type), INTENT(IN)                     :: mat_munu
    1201              :       TYPE(intermediate_matrix_type), INTENT(INOUT)      :: intermed_mat
    1202              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(OUT)        :: BIb_jb
    1203              :       TYPE(dbcsr_type), POINTER                          :: mo_coeff_o, mo_coeff_v
    1204              :       REAL(KIND=dp), INTENT(IN)                          :: eps_filter
    1205              :       INTEGER, INTENT(IN)                                :: my_B_end, my_B_start
    1206              : 
    1207              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'ao_to_mo_and_store_B'
    1208              : 
    1209              :       INTEGER                                            :: handle
    1210              : 
    1211        30162 :       CALL timeset(routineN//"_mult_"//TRIM(intermed_mat%descr), handle)
    1212              : 
    1213              :       CALL dbcsr_multiply("N", "N", 1.0_dp, mat_munu%matrix, mo_coeff_o, &
    1214        30162 :                           0.0_dp, intermed_mat%matrix_ia_jnu, filter_eps=eps_filter)
    1215              :       CALL dbcsr_multiply("T", "N", 1.0_dp, intermed_mat%matrix_ia_jnu, mo_coeff_v, &
    1216        30162 :                           0.0_dp, intermed_mat%matrix_ia_jb, filter_eps=eps_filter)
    1217        30162 :       CALL timestop(handle)
    1218              : 
    1219        30162 :       CALL timeset(routineN//"_E_Ex_"//TRIM(intermed_mat%descr), handle)
    1220        30162 :       CALL copy_dbcsr_to_fm(intermed_mat%matrix_ia_jb, intermed_mat%fm_BIb_jb)
    1221              : 
    1222              :       CALL grep_my_integrals(para_env, intermed_mat%fm_BIb_jb, BIb_jb, intermed_mat%max_row_col_local, &
    1223              :                              intermed_mat%local_col_row_info, &
    1224        30162 :                              my_B_end, my_B_start)
    1225              : 
    1226        30162 :       CALL timestop(handle)
    1227        30162 :    END SUBROUTINE ao_to_mo_and_store_B
    1228              : 
    1229              : ! **************************************************************************************************
    1230              : !> \brief ...
    1231              : !> \param intermed_mat ...
    1232              : ! **************************************************************************************************
    1233          760 :    SUBROUTINE release_intermediate_matrices(intermed_mat)
    1234              :       TYPE(intermediate_matrix_type), INTENT(INOUT)      :: intermed_mat
    1235              : 
    1236          760 :       CALL dbcsr_release(intermed_mat%matrix_ia_jnu)
    1237          760 :       CALL dbcsr_release(intermed_mat%matrix_ia_jb)
    1238          760 :       CALL cp_fm_release(intermed_mat%fm_BIb_jb)
    1239          760 :       DEALLOCATE (intermed_mat%local_col_row_info)
    1240              : 
    1241          760 :    END SUBROUTINE release_intermediate_matrices
    1242              : 
    1243              : ! **************************************************************************************************
    1244              : !> \brief ...
    1245              : !> \param qs_env ...
    1246              : !> \param kpoints ...
    1247              : !> \param unit_nr ...
    1248              : ! **************************************************************************************************
    1249           16 :    SUBROUTINE compute_kpoints(qs_env, kpoints, unit_nr)
    1250              : 
    1251              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1252              :       TYPE(kpoint_type), POINTER                         :: kpoints
    1253              :       INTEGER                                            :: unit_nr
    1254              : 
    1255              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'compute_kpoints'
    1256              : 
    1257              :       INTEGER                                            :: handle, i, i_dim, ix, iy, iz, nkp, &
    1258              :                                                             nkp_extra, nkp_orig
    1259              :       INTEGER, DIMENSION(3)                              :: nkp_grid, nkp_grid_extra, periodic
    1260              :       LOGICAL                                            :: do_extrapolate_kpoints
    1261              :       TYPE(cell_type), POINTER                           :: cell
    1262              :       TYPE(dft_control_type), POINTER                    :: dft_control
    1263              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1264              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    1265           16 :          POINTER                                         :: sab_orb
    1266              : 
    1267           16 :       CALL timeset(routineN, handle)
    1268              : 
    1269           16 :       NULLIFY (cell, dft_control, para_env)
    1270           16 :       CALL get_qs_env(qs_env=qs_env, cell=cell, para_env=para_env, dft_control=dft_control, sab_orb=sab_orb)
    1271           16 :       CALL get_cell(cell=cell, periodic=periodic)
    1272              : 
    1273              :       ! general because we augment a Monkhorst-Pack mesh by additional points in the BZ
    1274           16 :       kpoints%kp_scheme = "GENERAL"
    1275           16 :       kpoints%symmetry = .FALSE.
    1276           16 :       kpoints%verbose = .FALSE.
    1277           16 :       kpoints%full_grid = .TRUE.
    1278           16 :       kpoints%use_real_wfn = .FALSE.
    1279           16 :       kpoints%eps_geo = 1.e-6_dp
    1280           64 :       nkp_grid(1:3) = qs_env%mp2_env%ri_rpa_im_time%kp_grid(1:3)
    1281           16 :       do_extrapolate_kpoints = qs_env%mp2_env%ri_rpa_im_time%do_extrapolate_kpoints
    1282              : 
    1283           64 :       DO i_dim = 1, 3
    1284           48 :          IF (periodic(i_dim) == 1) THEN
    1285           32 :             CPASSERT(MODULO(nkp_grid(i_dim), 2) == 0)
    1286              :          END IF
    1287           64 :          IF (periodic(i_dim) == 0) THEN
    1288           16 :             CPASSERT(nkp_grid(i_dim) == 1)
    1289              :          END IF
    1290              :       END DO
    1291              : 
    1292           16 :       nkp_orig = nkp_grid(1)*nkp_grid(2)*nkp_grid(3)/2
    1293              : 
    1294           16 :       IF (do_extrapolate_kpoints) THEN
    1295              : 
    1296           16 :          CPASSERT(qs_env%mp2_env%ri_rpa_im_time%kpoint_weights_W_method == kp_weights_W_uniform)
    1297              : 
    1298           64 :          DO i_dim = 1, 3
    1299           48 :             IF (periodic(i_dim) == 1) nkp_grid_extra(i_dim) = nkp_grid(i_dim) + 2
    1300           64 :             IF (periodic(i_dim) == 0) nkp_grid_extra(i_dim) = 1
    1301              :          END DO
    1302              : 
    1303           64 :          qs_env%mp2_env%ri_rpa_im_time%kp_grid_extra(1:3) = nkp_grid_extra(1:3)
    1304              : 
    1305           16 :          nkp_extra = nkp_grid_extra(1)*nkp_grid_extra(2)*nkp_grid_extra(3)/2
    1306              : 
    1307              :       ELSE
    1308              : 
    1309            0 :          nkp_grid_extra(1:3) = 0
    1310            0 :          nkp_extra = 0
    1311              : 
    1312              :       END IF
    1313              : 
    1314           16 :       nkp = nkp_orig + nkp_extra
    1315              : 
    1316           16 :       qs_env%mp2_env%ri_rpa_im_time%nkp_orig = nkp_orig
    1317           16 :       qs_env%mp2_env%ri_rpa_im_time%nkp_extra = nkp_extra
    1318              : 
    1319           80 :       ALLOCATE (kpoints%xkp(3, nkp), kpoints%wkp(nkp))
    1320              : 
    1321           64 :       kpoints%nkp_grid(1:3) = nkp_grid(1:3)
    1322           16 :       kpoints%nkp = nkp
    1323              : 
    1324           32 :       ALLOCATE (qs_env%mp2_env%ri_rpa_im_time%wkp_V(nkp))
    1325           16 :       IF (do_extrapolate_kpoints) THEN
    1326              :          kpoints%wkp(1:nkp_orig) = 1.0_dp/REAL(nkp_orig, KIND=dp) &
    1327          144 :                                    /(1.0_dp - SQRT(REAL(nkp_extra, KIND=dp)/REAL(nkp_orig, KIND=dp)))
    1328              :          kpoints%wkp(nkp_orig + 1:nkp) = 1.0_dp/REAL(nkp_extra, KIND=dp) &
    1329          304 :                                          /(1.0_dp - SQRT(REAL(nkp_orig, KIND=dp)/REAL(nkp_extra, KIND=dp)))
    1330          144 :          qs_env%mp2_env%ri_rpa_im_time%wkp_V(1:nkp_orig) = 0.0_dp
    1331          304 :          qs_env%mp2_env%ri_rpa_im_time%wkp_V(nkp_orig + 1:nkp) = 1.0_dp/REAL(nkp_extra, KIND=dp)
    1332              :       ELSE
    1333            0 :          kpoints%wkp(:) = 1.0_dp/REAL(nkp, KIND=dp)
    1334            0 :          qs_env%mp2_env%ri_rpa_im_time%wkp_V(:) = kpoints%wkp(:)
    1335              :       END IF
    1336              : 
    1337           16 :       i = 0
    1338           44 :       DO ix = 1, nkp_grid(1)
    1339          108 :          DO iy = 1, nkp_grid(2)
    1340          348 :             DO iz = 1, nkp_grid(3)
    1341              : 
    1342          256 :                IF (i == nkp_orig) CYCLE
    1343          128 :                i = i + 1
    1344              : 
    1345          128 :                kpoints%xkp(1, i) = REAL(2*ix - nkp_grid(1) - 1, KIND=dp)/(2._dp*REAL(nkp_grid(1), KIND=dp))
    1346          128 :                kpoints%xkp(2, i) = REAL(2*iy - nkp_grid(2) - 1, KIND=dp)/(2._dp*REAL(nkp_grid(2), KIND=dp))
    1347          320 :                kpoints%xkp(3, i) = REAL(2*iz - nkp_grid(3) - 1, KIND=dp)/(2._dp*REAL(nkp_grid(3), KIND=dp))
    1348              : 
    1349              :             END DO
    1350              :          END DO
    1351              :       END DO
    1352              : 
    1353           52 :       DO ix = 1, nkp_grid_extra(1)
    1354          148 :          DO iy = 1, nkp_grid_extra(2)
    1355          708 :             DO iz = 1, nkp_grid_extra(3)
    1356              : 
    1357          576 :                i = i + 1
    1358          576 :                IF (i > nkp) CYCLE
    1359              : 
    1360          288 :                kpoints%xkp(1, i) = REAL(2*ix - nkp_grid_extra(1) - 1, KIND=dp)/(2._dp*REAL(nkp_grid_extra(1), KIND=dp))
    1361          288 :                kpoints%xkp(2, i) = REAL(2*iy - nkp_grid_extra(2) - 1, KIND=dp)/(2._dp*REAL(nkp_grid_extra(2), KIND=dp))
    1362          672 :                kpoints%xkp(3, i) = REAL(2*iz - nkp_grid_extra(3) - 1, KIND=dp)/(2._dp*REAL(nkp_grid_extra(3), KIND=dp))
    1363              : 
    1364              :             END DO
    1365              :          END DO
    1366              :       END DO
    1367              : 
    1368           16 :       CALL kpoint_init_cell_index(kpoints, sab_orb, para_env, dft_control)
    1369              : 
    1370           16 :       CALL set_qs_env(qs_env, kpoints=kpoints)
    1371              : 
    1372           16 :       IF (unit_nr > 0) THEN
    1373              : 
    1374            8 :          IF (do_extrapolate_kpoints) THEN
    1375            8 :             WRITE (UNIT=unit_nr, FMT="(T3,A,T69,3I4)") "KPOINT_INFO| K-point mesh for V (leading to Sigma^x):", nkp_grid(1:3)
    1376            8 :             WRITE (UNIT=unit_nr, FMT="(T3,A,T69)") "KPOINT_INFO| K-point extrapolation for W^c is used (W^c leads to Sigma^c):"
    1377            8 :             WRITE (UNIT=unit_nr, FMT="(T3,A,T69,3I4)") "KPOINT_INFO| K-point mesh 1 for W^c:", nkp_grid(1:3)
    1378            8 :             WRITE (UNIT=unit_nr, FMT="(T3,A,T69,3I4)") "KPOINT_INFO| K-point mesh 2 for W^c:", nkp_grid_extra(1:3)
    1379              :          ELSE
    1380            0 :             WRITE (UNIT=unit_nr, FMT="(T3,A,T69,3I4)") "KPOINT_INFO| K-point mesh for V and W:", nkp_grid(1:3)
    1381            0 :             WRITE (UNIT=unit_nr, FMT="(T3,A,T75,I6)") "KPOINT_INFO| Number of kpoints for V and W:", nkp
    1382              :          END IF
    1383              : 
    1384            8 :          SELECT CASE (qs_env%mp2_env%ri_rpa_im_time%kpoint_weights_W_method)
    1385              :          CASE (kp_weights_W_tailored)
    1386              :             WRITE (UNIT=unit_nr, FMT="(T3,A,T81)") &
    1387            0 :                "KPOINT_INFO| K-point weights for W:                                   TAILORED"
    1388              :          CASE (kp_weights_W_auto)
    1389              :             WRITE (UNIT=unit_nr, FMT="(T3,A,T81)") &
    1390            0 :                "KPOINT_INFO| K-point weights for W:                                       AUTO"
    1391              :          CASE (kp_weights_W_uniform)
    1392              :             WRITE (UNIT=unit_nr, FMT="(T3,A,T81)") &
    1393            8 :                "KPOINT_INFO| K-point weights for W:                                    UNIFORM"
    1394              :          END SELECT
    1395              : 
    1396              :       END IF
    1397              : 
    1398           16 :       CALL timestop(handle)
    1399              : 
    1400           16 :    END SUBROUTINE compute_kpoints
    1401              : 
    1402              : ! **************************************************************************************************
    1403              : !> \brief ...
    1404              : !> \param para_env_sub ...
    1405              : !> \param fm_BIb_jb ...
    1406              : !> \param BIb_jb ...
    1407              : !> \param max_row_col_local ...
    1408              : !> \param local_col_row_info ...
    1409              : !> \param my_B_virtual_end ...
    1410              : !> \param my_B_virtual_start ...
    1411              : ! **************************************************************************************************
    1412        30162 :    SUBROUTINE grep_my_integrals(para_env_sub, fm_BIb_jb, BIb_jb, max_row_col_local, &
    1413              :                                 local_col_row_info, &
    1414              :                                 my_B_virtual_end, my_B_virtual_start)
    1415              :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
    1416              :       TYPE(cp_fm_type), INTENT(IN)                       :: fm_BIb_jb
    1417              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(OUT)        :: BIb_jb
    1418              :       INTEGER, INTENT(IN)                                :: max_row_col_local
    1419              :       INTEGER, ALLOCATABLE, DIMENSION(:, :), INTENT(IN)  :: local_col_row_info
    1420              :       INTEGER, INTENT(IN)                                :: my_B_virtual_end, my_B_virtual_start
    1421              : 
    1422              :       INTEGER                                            :: i_global, iiB, j_global, jjB, ncol_rec, &
    1423              :                                                             nrow_rec, proc_receive, proc_send, &
    1424              :                                                             proc_shift
    1425              :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: rec_col_row_info
    1426        30162 :       INTEGER, DIMENSION(:), POINTER                     :: col_indices_rec, row_indices_rec
    1427        30162 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: local_BI, rec_BI
    1428              : 
    1429       120648 :       ALLOCATE (rec_col_row_info(0:max_row_col_local, 2))
    1430              : 
    1431      1141084 :       rec_col_row_info(:, :) = local_col_row_info
    1432              : 
    1433        30162 :       nrow_rec = rec_col_row_info(0, 1)
    1434        30162 :       ncol_rec = rec_col_row_info(0, 2)
    1435              : 
    1436        90444 :       ALLOCATE (row_indices_rec(nrow_rec))
    1437       172613 :       row_indices_rec = rec_col_row_info(1:nrow_rec, 1)
    1438              : 
    1439        90486 :       ALLOCATE (col_indices_rec(ncol_rec))
    1440       520705 :       col_indices_rec = rec_col_row_info(1:ncol_rec, 2)
    1441              : 
    1442              :       ! accumulate data on BIb_jb buffer starting from myself
    1443       520705 :       DO jjB = 1, ncol_rec
    1444       490543 :          j_global = col_indices_rec(jjB)
    1445       520705 :          IF (j_global >= my_B_virtual_start .AND. j_global <= my_B_virtual_end) THEN
    1446      2892919 :             DO iiB = 1, nrow_rec
    1447      2426976 :                i_global = row_indices_rec(iiB)
    1448      2892919 :                BIb_jb(j_global - my_B_virtual_start + 1, i_global) = fm_BIb_jb%local_data(iiB, jjB)
    1449              :             END DO
    1450              :          END IF
    1451              :       END DO
    1452              : 
    1453        30162 :       DEALLOCATE (row_indices_rec)
    1454        30162 :       DEALLOCATE (col_indices_rec)
    1455              : 
    1456        30162 :       IF (para_env_sub%num_pe > 1) THEN
    1457         9816 :          ALLOCATE (local_BI(nrow_rec, ncol_rec))
    1458       156209 :          local_BI(1:nrow_rec, 1:ncol_rec) = fm_BIb_jb%local_data(1:nrow_rec, 1:ncol_rec)
    1459              : 
    1460         4908 :          DO proc_shift = 1, para_env_sub%num_pe - 1
    1461         2454 :             proc_send = MODULO(para_env_sub%mepos + proc_shift, para_env_sub%num_pe)
    1462         2454 :             proc_receive = MODULO(para_env_sub%mepos - proc_shift, para_env_sub%num_pe)
    1463              : 
    1464              :             ! first exchange information on the local data
    1465       110670 :             rec_col_row_info = 0
    1466         2454 :             CALL para_env_sub%sendrecv(local_col_row_info, proc_send, rec_col_row_info, proc_receive)
    1467         2454 :             nrow_rec = rec_col_row_info(0, 1)
    1468         2454 :             ncol_rec = rec_col_row_info(0, 2)
    1469              : 
    1470         7362 :             ALLOCATE (row_indices_rec(nrow_rec))
    1471         7705 :             row_indices_rec = rec_col_row_info(1:nrow_rec, 1)
    1472              : 
    1473         7362 :             ALLOCATE (col_indices_rec(ncol_rec))
    1474        51654 :             col_indices_rec = rec_col_row_info(1:ncol_rec, 2)
    1475              : 
    1476         9816 :             ALLOCATE (rec_BI(nrow_rec, ncol_rec))
    1477       156209 :             rec_BI = 0.0_dp
    1478              : 
    1479              :             ! then send and receive the real data
    1480       309964 :             CALL para_env_sub%sendrecv(local_BI, proc_send, rec_BI, proc_receive)
    1481              : 
    1482              :             ! accumulate the received data on BIb_jb buffer
    1483        51654 :             DO jjB = 1, ncol_rec
    1484        49200 :                j_global = col_indices_rec(jjB)
    1485        51654 :                IF (j_global >= my_B_virtual_start .AND. j_global <= my_B_virtual_end) THEN
    1486        76719 :                   DO iiB = 1, nrow_rec
    1487        52119 :                      i_global = row_indices_rec(iiB)
    1488        76719 :                      BIb_jb(j_global - my_B_virtual_start + 1, i_global) = rec_BI(iiB, jjB)
    1489              :                   END DO
    1490              :                END IF
    1491              :             END DO
    1492              : 
    1493         2454 :             DEALLOCATE (col_indices_rec)
    1494         2454 :             DEALLOCATE (row_indices_rec)
    1495         4908 :             DEALLOCATE (rec_BI)
    1496              :          END DO
    1497              : 
    1498         2454 :          DEALLOCATE (local_BI)
    1499              :       END IF
    1500              : 
    1501        30162 :       DEALLOCATE (rec_col_row_info)
    1502              : 
    1503        30162 :    END SUBROUTINE grep_my_integrals
    1504              : 
    1505            0 : END MODULE mp2_integrals
        

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