LCOV - code coverage report
Current view: top level - src - mp2_direct_method.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:2fce0f8) Lines: 656 770 85.2 %
Date: 2024-12-21 06:28:57 Functions: 6 7 85.7 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Routines to calculate MP2 energy
      10             : !> \par History
      11             : !>      06.2011 created [Mauro Del Ben]
      12             : !> \author Mauro Del Ben
      13             : ! **************************************************************************************************
      14             : MODULE mp2_direct_method
      15             :    USE cell_types,                      ONLY: cell_type
      16             :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      17             :                                               cp_logger_type
      18             :    USE hfx_energy_potential,            ONLY: coulomb4
      19             :    USE hfx_load_balance_methods,        ONLY: cost_model,&
      20             :                                               p1_energy,&
      21             :                                               p2_energy,&
      22             :                                               p3_energy
      23             :    USE hfx_pair_list_methods,           ONLY: build_pair_list_mp2
      24             :    USE hfx_types,                       ONLY: hfx_basis_type,&
      25             :                                               hfx_pgf_list,&
      26             :                                               hfx_pgf_product_list,&
      27             :                                               hfx_potential_type,&
      28             :                                               hfx_screen_coeff_type,&
      29             :                                               hfx_type,&
      30             :                                               pair_set_list_type
      31             :    USE input_constants,                 ONLY: do_potential_TShPSC
      32             :    USE kinds,                           ONLY: dp,&
      33             :                                               int_8
      34             :    USE libint_wrapper,                  ONLY: cp_libint_t
      35             :    USE machine,                         ONLY: m_flush
      36             :    USE mathconstants,                   ONLY: zero
      37             :    USE message_passing,                 ONLY: mp_para_env_release,&
      38             :                                               mp_para_env_type
      39             :    USE mp2_ri_libint,                   ONLY: prepare_integral_calc
      40             :    USE mp2_types,                       ONLY: init_TShPSC_lmax,&
      41             :                                               mp2_biel_type,&
      42             :                                               mp2_type,&
      43             :                                               pair_list_type_mp2
      44             :    USE orbital_pointers,                ONLY: ncoset
      45             :    USE particle_types,                  ONLY: particle_type
      46             :    USE qs_environment_types,            ONLY: qs_environment_type
      47             :    USE t_sh_p_s_c,                      ONLY: free_C0
      48             : #include "./base/base_uses.f90"
      49             : 
      50             :    IMPLICIT NONE
      51             :    PRIVATE
      52             : 
      53             :    PUBLIC ::  mp2_direct_energy, mp2_canonical_direct_single_batch
      54             : 
      55             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'mp2_direct_method'
      56             : 
      57             : !***
      58             : 
      59             : CONTAINS
      60             : 
      61             : ! **************************************************************************************************
      62             : !> \brief ...
      63             : !> \param dimen ...
      64             : !> \param occ_i ...
      65             : !> \param occ_j ...
      66             : !> \param mp2_biel ...
      67             : !> \param mp2_env ...
      68             : !> \param C_i ...
      69             : !> \param Auto_i ...
      70             : !> \param Emp2 ...
      71             : !> \param Emp2_Cou ...
      72             : !> \param Emp2_ex ...
      73             : !> \param qs_env ...
      74             : !> \param para_env ...
      75             : !> \param unit_nr ...
      76             : !> \param C_j ...
      77             : !> \param Auto_j ...
      78             : ! **************************************************************************************************
      79          26 :    SUBROUTINE mp2_direct_energy(dimen, occ_i, occ_j, mp2_biel, mp2_env, C_i, Auto_i, Emp2, Emp2_Cou, Emp2_ex, &
      80          26 :                                 qs_env, para_env, unit_nr, C_j, Auto_j)
      81             :       INTEGER                                            :: dimen, occ_i, occ_j
      82             :       TYPE(mp2_biel_type)                                :: mp2_biel
      83             :       TYPE(mp2_type)                                     :: mp2_env
      84             :       REAL(KIND=dp), DIMENSION(dimen, dimen)             :: C_i
      85             :       REAL(KIND=dp), DIMENSION(dimen)                    :: Auto_i
      86             :       REAL(KIND=dp)                                      :: Emp2, Emp2_Cou, Emp2_ex
      87             :       TYPE(qs_environment_type), POINTER                 :: qs_env
      88             :       TYPE(mp_para_env_type), POINTER                    :: para_env
      89             :       INTEGER                                            :: unit_nr
      90             :       REAL(KIND=dp), DIMENSION(dimen, dimen), OPTIONAL   :: C_j
      91             :       REAL(KIND=dp), DIMENSION(dimen), OPTIONAL          :: Auto_j
      92             : 
      93             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'mp2_direct_energy'
      94             :       REAL(KIND=dp), PARAMETER                           :: zero = 0.D+00
      95             : 
      96             :       INTEGER :: batch_number, color_sub, counter, elements_ij_proc, group_counter, handle, i, &
      97             :          i_batch, i_batch_start, i_group_counter, j, j_batch_start, j_group_counter, last_batch, &
      98             :          max_batch_number, max_batch_size, max_set, minimum_memory_needed, my_batch_size, &
      99             :          my_I_batch_size, my_I_occupied_end, my_I_occupied_start, my_J_batch_size, &
     100             :          my_J_occupied_end, my_J_occupied_start, natom, Ni_occupied, Nj_occupied, number_groups, &
     101             :          number_i_subset, number_j_subset, one, sqrt_number_groups, total_I_size_batch_group, &
     102             :          total_J_size_batch_group, virt_i, virt_j
     103          26 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: batch_sizes, batch_sizes_tmp, &
     104          26 :                                                             vector_batch_I_size_group, &
     105          26 :                                                             vector_batch_J_size_group
     106          26 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: ij_list_proc, ij_list_proc_temp, &
     107          26 :                                                             ij_matrix
     108             :       LOGICAL                                            :: alpha_beta_case
     109             :       TYPE(mp_para_env_type), POINTER                    :: para_env_sub
     110             : 
     111          26 :       CALL timeset(routineN, handle)
     112             : 
     113          26 :       alpha_beta_case = .FALSE.
     114          26 :       IF (PRESENT(C_j) .AND. PRESENT(Auto_j)) alpha_beta_case = .TRUE.
     115             : 
     116          26 :       IF (unit_nr > 0 .AND. mp2_env%potential_parameter%potential_type == do_potential_TShPSC) THEN
     117           1 :          IF (unit_nr > 0) WRITE (unit_nr, '(T3,A,T64,F12.6,A5)') 'Truncated MP2 method, Rt=', &
     118           2 :             mp2_env%potential_parameter%cutoff_radius, ' Bohr'
     119             :       END IF
     120             : 
     121             :       ! create the local para env
     122             :       ! each para_env_sub corresponds to a group that is going to compute
     123             :       ! all the integrals. To each group a batch I is assigned and the
     124             :       ! communication takes place only inside the group
     125          26 :       number_groups = para_env%num_pe/mp2_env%mp2_num_proc
     126          26 :       IF (number_groups*mp2_env%mp2_num_proc /= para_env%num_pe) THEN
     127           0 :          CPABORT(" The number of processors needs to be a multiple of the processors per group. ")
     128             :       END IF
     129          26 :       IF (number_groups > occ_i*occ_j) THEN
     130           2 :          IF (unit_nr > 0) WRITE (unit_nr, '(T3,A)') 'Number of groups greater then the number of IJ pairs!'
     131           2 :          IF (unit_nr > 0) WRITE (unit_nr, '(T3,A)') 'Consider using more processors per group for improved efficiency'
     132             :       END IF
     133             : 
     134          26 :       color_sub = para_env%mepos/mp2_env%mp2_num_proc
     135          26 :       ALLOCATE (para_env_sub)
     136          26 :       CALL para_env_sub%from_split(para_env, color_sub)
     137             : 
     138             :       ! calculate the maximal size of the batch, according to the maximum RS size
     139          26 :       max_set = SIZE(mp2_biel%index_table, 2)
     140          26 :       minimum_memory_needed = (8*(max_set**4))/1024**2
     141          26 :       IF (minimum_memory_needed > mp2_env%mp2_memory) THEN
     142           0 :          IF (unit_nr > 0) WRITE (unit_nr, '(T3,A,T66,F12.6,A3)') 'Memory required below the minimum, new memory:', &
     143           0 :             minimum_memory_needed, 'MiB'
     144           0 :          mp2_env%mp2_memory = minimum_memory_needed
     145             :       END IF
     146             : 
     147             :       ! Distribute the batches over the groups in
     148             :       ! a rectangular fashion, bigger size for J index
     149             :       ! the sizes of the I batches should be as small as possible
     150          26 :       sqrt_number_groups = INT(SQRT(REAL(number_groups, KIND=dp)))
     151          26 :       DO i = 1, number_groups
     152          26 :          IF (MOD(number_groups, i) == 0) THEN
     153          26 :             IF (sqrt_number_groups/i <= 1) THEN
     154             :                number_j_subset = i
     155             :                EXIT
     156             :             END IF
     157             :          END IF
     158             :       END DO
     159          26 :       number_i_subset = number_groups/number_j_subset
     160             : 
     161          26 :       IF (number_i_subset < number_j_subset) THEN
     162           0 :          number_i_subset = number_j_subset
     163           0 :          number_j_subset = number_groups/number_i_subset
     164             :       END IF
     165             : 
     166             :       ! Distribute the I index and the J index over groups
     167          26 :       total_I_size_batch_group = occ_i/number_i_subset
     168          26 :       IF (total_I_size_batch_group < 1) total_I_size_batch_group = 1
     169          78 :       ALLOCATE (vector_batch_I_size_group(0:number_i_subset - 1))
     170             : 
     171          78 :       vector_batch_I_size_group = 0
     172          78 :       DO i = 0, number_i_subset - 1
     173          78 :          vector_batch_I_size_group(i) = total_I_size_batch_group
     174             :       END DO
     175          78 :       IF (SUM(vector_batch_I_size_group) /= occ_i) THEN
     176          54 :          one = 1
     177          54 :          IF (SUM(vector_batch_I_size_group) > occ_i) one = -1
     178          18 :          i = -1
     179             :          DO
     180          18 :             i = i + 1
     181          18 :             vector_batch_I_size_group(i) = vector_batch_I_size_group(i) + one
     182          54 :             IF (SUM(vector_batch_I_size_group) == occ_i) EXIT
     183          18 :             IF (i == number_i_subset - 1) i = -1
     184             :          END DO
     185             :       END IF
     186             : 
     187          26 :       total_J_size_batch_group = occ_j/number_j_subset
     188          26 :       IF (total_J_size_batch_group < 1) total_J_size_batch_group = 1
     189          78 :       ALLOCATE (vector_batch_J_size_group(0:number_j_subset - 1))
     190             : 
     191          52 :       vector_batch_J_size_group = 0
     192          52 :       DO i = 0, number_J_subset - 1
     193          52 :          vector_batch_J_size_group(i) = total_J_size_batch_group
     194             :       END DO
     195          52 :       IF (SUM(vector_batch_J_size_group) /= occ_j) THEN
     196           0 :          one = 1
     197           0 :          IF (SUM(vector_batch_J_size_group) > occ_j) one = -1
     198           0 :          i = -1
     199             :          DO
     200           0 :             i = i + 1
     201           0 :             vector_batch_J_size_group(i) = vector_batch_J_size_group(i) + one
     202           0 :             IF (SUM(vector_batch_J_size_group) == occ_j) EXIT
     203           0 :             IF (i == number_J_subset - 1) i = -1
     204             :          END DO
     205             :       END IF
     206             : 
     207             :       ! now the starting and ending I and J occupied orbitals are assigned to each group
     208          26 :       group_counter = 0
     209          26 :       i_group_counter = 0
     210          26 :       my_I_occupied_start = 1
     211          39 :       DO i = 0, number_i_subset - 1
     212             :          my_J_occupied_start = 1
     213             :          j_group_counter = 0
     214          52 :          DO j = 0, number_j_subset - 1
     215          39 :             group_counter = group_counter + 1
     216          39 :             IF (color_sub == group_counter - 1) EXIT
     217          13 :             my_J_occupied_start = my_J_occupied_start + vector_batch_J_size_group(j)
     218          52 :             j_group_counter = j_group_counter + 1
     219             :          END DO
     220          39 :          IF (color_sub == group_counter - 1) EXIT
     221          13 :          my_I_occupied_start = my_I_occupied_start + vector_batch_I_size_group(i)
     222          39 :          i_group_counter = i_group_counter + 1
     223             :       END DO
     224          26 :       my_I_occupied_end = my_I_occupied_start + vector_batch_I_size_group(i_group_counter) - 1
     225          26 :       my_I_batch_size = vector_batch_I_size_group(i_group_counter)
     226          26 :       my_J_occupied_end = my_J_occupied_start + vector_batch_J_size_group(j_group_counter) - 1
     227          26 :       my_J_batch_size = vector_batch_J_size_group(j_group_counter)
     228             : 
     229          26 :       DEALLOCATE (vector_batch_I_size_group)
     230          26 :       DEALLOCATE (vector_batch_J_size_group)
     231             : 
     232             :       max_batch_size = MIN( &
     233             :                        MAX(1, &
     234             :                            INT(mp2_env%mp2_memory*INT(1024, KIND=int_8)**2/ &
     235             :                                (8*(2*dimen - occ_i)*INT(dimen, KIND=int_8)*my_J_batch_size/para_env_sub%num_pe))) &
     236          26 :                        , my_I_batch_size)
     237          26 :       IF (max_batch_size < 1) THEN
     238           1 :          max_batch_size = INT((8*(occ_i + 1)*INT(dimen, KIND=int_8)**2/para_env%num_pe)/1024**2)
     239           1 :          IF (unit_nr > 0) WRITE (unit_nr, '(T3,A,T72,I6,A3)') 'More memory required, at least:', max_batch_size, 'MiB'
     240           1 :          max_batch_size = 1
     241             :       END IF
     242             : 
     243             :       ! create the size of the batches inside the group
     244          26 :       my_batch_size = my_I_batch_size
     245          77 :       ALLOCATE (batch_sizes(my_batch_size))
     246             : 
     247          85 :       batch_sizes = -HUGE(0)
     248             :       batch_number = 0
     249          51 :       DO i = 1, my_batch_size
     250          45 :          IF (i*max_batch_size > my_batch_size) EXIT
     251          25 :          batch_number = batch_number + 1
     252          51 :          batch_sizes(i) = max_batch_size
     253             :       END DO
     254          26 :       last_batch = my_batch_size - max_batch_size*batch_number
     255          26 :       IF (last_batch > 0) THEN
     256           0 :          batch_number = batch_number + 1
     257           0 :          batch_sizes(batch_number) = last_batch
     258             :       END IF
     259             : 
     260          77 :       ALLOCATE (batch_sizes_tmp(batch_number))
     261          51 :       batch_sizes_tmp(1:batch_number) = batch_sizes(1:batch_number)
     262          26 :       DEALLOCATE (batch_sizes)
     263          51 :       ALLOCATE (batch_sizes(batch_number))
     264          51 :       batch_sizes(:) = batch_sizes_tmp
     265          26 :       DEALLOCATE (batch_sizes_tmp)
     266             : 
     267          51 :       max_batch_size = MAXVAL(batch_sizes)
     268          26 :       CALL para_env%max(max_batch_size)
     269          26 :       max_batch_number = batch_number
     270          26 :       CALL para_env%max(max_batch_number)
     271          26 :       IF (unit_nr > 0) THEN
     272          13 :          WRITE (unit_nr, '(T3,A,T76,I5)') 'Maximum used batch size: ', max_batch_size
     273          13 :          WRITE (unit_nr, '(T3,A,T76,I5)') 'Number of integral recomputations: ', max_batch_number
     274          13 :          CALL m_flush(unit_nr)
     275             :       END IF
     276             : 
     277             :       ! Batches sizes exceed the occupied orbitals allocated for group
     278          51 :       CPASSERT(SUM(batch_sizes) <= my_batch_size)
     279             : 
     280          26 :       virt_i = dimen - occ_i
     281          26 :       virt_j = dimen - occ_j
     282          26 :       natom = SIZE(mp2_biel%index_table, 1)
     283             : 
     284          26 :       CALL para_env%sync()
     285          26 :       Emp2 = zero
     286          26 :       Emp2_Cou = zero
     287          26 :       Emp2_ex = zero
     288          26 :       i_batch_start = my_I_occupied_start - 1
     289          26 :       j_batch_start = my_J_occupied_start - 1
     290          26 :       Nj_occupied = my_J_batch_size
     291          51 :       DO i_batch = 1, batch_number
     292             : 
     293          25 :          Ni_occupied = batch_sizes(i_batch)
     294             : 
     295          25 :          counter = -1
     296         100 :          ALLOCATE (ij_matrix(Ni_occupied, Nj_occupied))
     297             : 
     298         456 :          ij_matrix = 0
     299          84 :          DO i = 1, Ni_occupied
     300         402 :             DO j = 1, Nj_occupied
     301         318 :                counter = counter + 1
     302         377 :                IF (MOD(counter, para_env_sub%num_pe) == para_env_sub%mepos) THEN
     303         318 :                   ij_matrix(i, j) = ij_matrix(i, j) + 1
     304             :                END IF
     305             :             END DO
     306             :          END DO
     307             : 
     308          75 :          ALLOCATE (ij_list_proc_temp(Ni_occupied*occ_j, 2))
     309             : 
     310          25 :          elements_ij_proc = 0
     311          84 :          DO i = 1, Ni_occupied
     312         402 :             DO j = 1, Nj_occupied
     313         318 :                IF (ij_matrix(i, j) == 0) CYCLE
     314         318 :                elements_ij_proc = elements_ij_proc + 1
     315         318 :                ij_list_proc_temp(elements_ij_proc, 1) = i
     316         377 :                ij_list_proc_temp(elements_ij_proc, 2) = j
     317             :             END DO
     318             :          END DO
     319          25 :          DEALLOCATE (ij_matrix)
     320             : 
     321          75 :          ALLOCATE (ij_list_proc(elements_ij_proc, 2))
     322         343 :          DO i = 1, elements_ij_proc
     323         318 :             ij_list_proc(i, 1) = ij_list_proc_temp(i, 1)
     324         343 :             ij_list_proc(i, 2) = ij_list_proc_temp(i, 2)
     325             :          END DO
     326          25 :          DEALLOCATE (ij_list_proc_temp)
     327             : 
     328          25 :          IF (.NOT. alpha_beta_case) THEN
     329             :             CALL mp2_canonical_direct_single_batch(Emp2, Emp2_Cou, Emp2_ex, mp2_env, qs_env, para_env_sub, &
     330             :                                                    mp2_biel, dimen, C_i, Auto_i, i_batch_start, Ni_occupied, occ_i, &
     331          21 :                                                    elements_ij_proc, ij_list_proc, Nj_occupied, j_batch_start)
     332             :          ELSE
     333             :             CALL mp2_canonical_direct_single_batch(Emp2, Emp2_Cou, Emp2_ex, mp2_env, qs_env, para_env_sub, &
     334             :                                                    mp2_biel, dimen, C_i, Auto_i, i_batch_start, Ni_occupied, occ_i, &
     335             :                                                    elements_ij_proc, ij_list_proc, Nj_occupied, j_batch_start, &
     336           4 :                                                    occ_j, C_j, Auto_j)
     337             :          END IF
     338             : 
     339          25 :          i_batch_start = i_batch_start + Ni_occupied
     340             : 
     341          51 :          DEALLOCATE (ij_list_proc)
     342             : 
     343             :       END DO
     344             : 
     345          26 :       CALL para_env%sum(Emp2_Cou)
     346          26 :       CALL para_env%sum(Emp2_Ex)
     347          26 :       CALL para_env%sum(Emp2)
     348             : 
     349          26 :       CALL mp_para_env_release(para_env_sub)
     350             : 
     351          26 :       CALL timestop(handle)
     352             : 
     353          52 :    END SUBROUTINE mp2_direct_energy
     354             : 
     355             : ! **************************************************************************************************
     356             : !> \brief ...
     357             : !> \param Emp2 ...
     358             : !> \param Emp2_Cou ...
     359             : !> \param Emp2_ex ...
     360             : !> \param mp2_env ...
     361             : !> \param qs_env ...
     362             : !> \param para_env ...
     363             : !> \param mp2_biel ...
     364             : !> \param dimen ...
     365             : !> \param C ...
     366             : !> \param Auto ...
     367             : !> \param i_batch_start ...
     368             : !> \param Ni_occupied ...
     369             : !> \param occupied ...
     370             : !> \param elements_ij_proc ...
     371             : !> \param ij_list_proc ...
     372             : !> \param Nj_occupied ...
     373             : !> \param j_batch_start ...
     374             : !> \param occupied_beta ...
     375             : !> \param C_beta ...
     376             : !> \param Auto_beta ...
     377             : !> \param Integ_MP2 ...
     378             : !> \par History
     379             : !>      06.2011 created [Mauro Del Ben]
     380             : !> \author Mauro Del Ben
     381             : ! **************************************************************************************************
     382          43 :    SUBROUTINE mp2_canonical_direct_single_batch(Emp2, Emp2_Cou, Emp2_ex, mp2_env, qs_env, para_env, &
     383          86 :                                                 mp2_biel, dimen, C, Auto, i_batch_start, Ni_occupied, &
     384          43 :                                                 occupied, elements_ij_proc, ij_list_proc, Nj_occupied, j_batch_start, &
     385          10 :                                                 occupied_beta, C_beta, Auto_beta, Integ_MP2)
     386             : 
     387             :       REAL(KIND=dp), INTENT(INOUT)                       :: Emp2, Emp2_Cou, Emp2_ex
     388             :       TYPE(mp2_type)                                     :: mp2_env
     389             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     390             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env
     391             :       TYPE(mp2_biel_type), INTENT(IN)                    :: mp2_biel
     392             :       INTEGER, INTENT(IN)                                :: dimen
     393             :       REAL(KIND=dp), DIMENSION(dimen, dimen), INTENT(IN) :: C
     394             :       REAL(KIND=dp), DIMENSION(dimen), INTENT(IN)        :: Auto
     395             :       INTEGER, INTENT(IN)                                :: i_batch_start, Ni_occupied, occupied, &
     396             :                                                             elements_ij_proc
     397             :       INTEGER, DIMENSION(elements_ij_proc, 2), &
     398             :          INTENT(IN)                                      :: ij_list_proc
     399             :       INTEGER, INTENT(IN)                                :: Nj_occupied, j_batch_start
     400             :       INTEGER, INTENT(IN), OPTIONAL                      :: occupied_beta
     401             :       REAL(KIND=dp), DIMENSION(dimen, dimen), &
     402             :          INTENT(IN), OPTIONAL                            :: C_beta
     403             :       REAL(KIND=dp), DIMENSION(dimen), INTENT(IN), &
     404             :          OPTIONAL                                        :: Auto_beta
     405             :       REAL(KIND=dp), ALLOCATABLE, &
     406             :          DIMENSION(:, :, :, :), INTENT(OUT), OPTIONAL    :: Integ_MP2
     407             : 
     408             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'mp2_canonical_direct_single_batch'
     409             : 
     410             :       INTEGER :: case_index, counter_proc, elements_ij_proc_rec, elements_kl_proc, global_counter, &
     411             :          handle, i, i_list_ij, i_list_kl, i_set_list_ij, i_set_list_ij_start, i_set_list_ij_stop, &
     412             :          i_set_list_kl, i_set_list_kl_start, i_set_list_kl_stop, i_start, iatom, iatom_end, &
     413             :          iatom_start, iiB, ij_elem_max, ikind, index_ij_rec, index_ij_send, index_kl, &
     414             :          index_proc_ij, index_proc_shift, iset, jatom, jatom_end, jatom_start, jjB, jkind, jset, &
     415             :          katom, katom_end, katom_start, kkB, kkind, kset, latom, latom_end, latom_start, lkind, &
     416             :          llB, lset, max_num_call_sec_transf, max_pgf, max_set, multiple
     417             :       INTEGER :: my_num_call_sec_transf, natom, ncob, nints, nseta, nsetb, nsgf_max, nspins, &
     418             :          primitive_counter, proc_num, proc_receive, proc_send, R_offset_rec, Rsize_rec, &
     419             :          S_offset_rec, same_size_kl_index, sphi_a_u1, sphi_a_u2, sphi_a_u3, sphi_b_u1, sphi_b_u2, &
     420             :          sphi_b_u3, sphi_c_u1, sphi_c_u2, sphi_c_u3, sphi_d_u1, sphi_d_u2, sphi_d_u3, Ssize_rec, &
     421             :          step_size, total_num_RS_task
     422             :       INTEGER(int_8)                                     :: estimate_to_store_int, neris_tmp, &
     423             :                                                             neris_total, nprim_ints
     424          43 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of, nimages, proc_num_task, &
     425          43 :                                                             same_size_kl_elements_counter
     426          43 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: kl_list_proc, task_counter_RS, &
     427          43 :                                                             task_counter_RS_temp
     428             :       INTEGER, DIMENSION(4)                              :: RS_counter_temp
     429             :       INTEGER, DIMENSION(5)                              :: size_parameter_rec, size_parameter_send
     430          43 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, lc_max, &
     431          43 :                                                             lc_min, ld_max, ld_min, npgfa, npgfb, &
     432          43 :                                                             npgfc, npgfd, nsgfa, nsgfb, nsgfc, &
     433          43 :                                                             nsgfd
     434          43 :       INTEGER, DIMENSION(:, :), POINTER                  :: nsgfl_a, nsgfl_b, nsgfl_c, nsgfl_d
     435             :       LOGICAL                                            :: alpha_beta_case, case_send_receive, &
     436             :                                                             copy_integrals, do_periodic
     437          43 :       LOGICAL, DIMENSION(:, :), POINTER                  :: shm_atomic_pair_list
     438             :       REAL(KIND=dp) :: cartesian_estimate, coeffs_kind_max0, cost_tmp, eps_schwarz, ln_10, &
     439             :          log10_eps_schwarz, log10_pmax, max_contraction_val, max_val1, max_val2, max_val2_set, &
     440             :          pmax_atom, pmax_entry, ra(3), rab2, rb(3), rc(3), rcd2, rd(3), screen_kind_ij, &
     441             :          screen_kind_kl
     442          43 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: cost_RS, cost_RS_temp, ee_buffer1, &
     443          43 :                                                             ee_buffer2, ee_primitives_tmp, &
     444          43 :                                                             ee_work, ee_work2, primitive_integrals
     445          43 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: BIb_RS_mat_rec, C_beta_T, max_contraction
     446          43 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: BIb, BIb_RS_mat_rec_big, zero_mat_big
     447          43 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :, :)  :: BI1, MNRS
     448          43 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: p_work
     449          43 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: shm_pmax_block, zeta, zetb, zetc, zetd
     450          43 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: sphi_a_ext_set, sphi_b_ext_set, &
     451          43 :                                                             sphi_c_ext_set, sphi_d_ext_set
     452          43 :       REAL(KIND=dp), DIMENSION(:, :, :, :), POINTER      :: sphi_a_ext, sphi_b_ext, sphi_c_ext, &
     453          43 :                                                             sphi_d_ext
     454          86 :       REAL(KIND=dp), DIMENSION(dimen, 2)                 :: zero_mat
     455          86 :       REAL(KIND=dp), DIMENSION(dimen, dimen)             :: C_T
     456             :       TYPE(cell_type), POINTER                           :: cell
     457             :       TYPE(cp_libint_t)                                  :: private_lib
     458             :       TYPE(cp_logger_type), POINTER                      :: logger
     459          43 :       TYPE(hfx_basis_type), DIMENSION(:), POINTER        :: basis_parameter
     460          43 :       TYPE(hfx_pgf_list), ALLOCATABLE, DIMENSION(:)      :: pgf_list_ij, pgf_list_kl
     461             :       TYPE(hfx_pgf_product_list), ALLOCATABLE, &
     462          43 :          DIMENSION(:)                                    :: pgf_product_list
     463             :       TYPE(hfx_potential_type)                           :: mp2_potential_parameter
     464             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
     465          43 :          POINTER                                         :: screen_coeffs_kind, tmp_R_1, tmp_R_2, &
     466          43 :                                                             tmp_screen_pgf1, tmp_screen_pgf2
     467             :       TYPE(hfx_screen_coeff_type), &
     468          43 :          DIMENSION(:, :, :, :), POINTER                  :: screen_coeffs_set
     469             :       TYPE(hfx_screen_coeff_type), &
     470          43 :          DIMENSION(:, :, :, :, :, :), POINTER            :: radii_pgf, screen_coeffs_pgf
     471             :       TYPE(hfx_type), POINTER                            :: actual_x_data
     472          43 :       TYPE(pair_list_type_mp2)                           :: list_ij, list_kl
     473             :       TYPE(pair_set_list_type), ALLOCATABLE, &
     474          43 :          DIMENSION(:)                                    :: set_list_ij, set_list_kl
     475          43 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     476             : 
     477          43 :       CALL timeset(routineN, handle)
     478             : 
     479             :       ! The Integ_MP2 will contain the (ia|jb) integrals, necessary for example
     480             :       ! for the RI-MP2 basis optimization. In this case the number of ij batches
     481             :       ! has to be equal to 1 (all integrals over molecular orbitals are computed
     482             :       ! in a single step).
     483          43 :       copy_integrals = .FALSE.
     484          43 :       IF (PRESENT(Integ_MP2)) copy_integrals = .TRUE.
     485             : 
     486          43 :       alpha_beta_case = .FALSE.
     487             : 
     488             :       CALL prepare_integral_calc(cell, qs_env, mp2_env, para_env, mp2_potential_parameter, actual_x_data, &
     489             :                                  do_periodic, basis_parameter, max_set, particle_set, natom, kind_of, &
     490             :                                  nsgf_max, primitive_integrals, ee_work, ee_work2, ee_buffer1, ee_buffer2, &
     491             :                                  ee_primitives_tmp, nspins, max_contraction, max_pgf, pgf_list_ij, &
     492             :                                  pgf_list_kl, pgf_product_list, nimages, eps_schwarz, log10_eps_schwarz, &
     493             :                                  private_lib, p_work, screen_coeffs_set, screen_coeffs_kind, screen_coeffs_pgf, &
     494          43 :                                  radii_pgf)
     495             : 
     496          43 :       ln_10 = LOG(10.0_dp)
     497             : 
     498          43 :       neris_tmp = 0_int_8
     499          43 :       neris_total = 0_int_8
     500          43 :       nprim_ints = 0_int_8
     501             : 
     502             : !!!!!!!!!
     503         880 :       ALLOCATE (list_ij%elements(natom**2))
     504         837 :       ALLOCATE (list_kl%elements(natom**2))
     505             : !!!!!!!!!
     506             : 
     507         201 :       coeffs_kind_max0 = MAXVAL(screen_coeffs_kind(:, :)%x(2))
     508       15190 :       ALLOCATE (set_list_ij((max_set*natom)**2))
     509       15147 :       ALLOCATE (set_list_kl((max_set*natom)**2))
     510             : 
     511             :       !! precalculate maximum density matrix elements in blocks
     512         365 :       actual_x_data%pmax_block = 0.0_dp
     513          43 :       shm_pmax_block => actual_x_data%pmax_block
     514             : 
     515          43 :       shm_atomic_pair_list => actual_x_data%atomic_pair_list
     516             : 
     517          43 :       iatom_start = 1
     518          43 :       iatom_end = natom
     519          43 :       jatom_start = 1
     520          43 :       jatom_end = natom
     521          43 :       katom_start = 1
     522          43 :       katom_end = natom
     523          43 :       latom_start = 1
     524          43 :       latom_end = natom
     525             : 
     526             :       CALL build_pair_list_mp2(natom, list_ij, set_list_ij, iatom_start, iatom_end, &
     527             :                                jatom_start, jatom_end, &
     528             :                                kind_of, basis_parameter, particle_set, &
     529             :                                do_periodic, screen_coeffs_set, screen_coeffs_kind, &
     530             :                                coeffs_kind_max0, log10_eps_schwarz, cell, 0.D+00, &
     531          43 :                                shm_atomic_pair_list)
     532             : 
     533             :       CALL build_pair_list_mp2(natom, list_kl, set_list_kl, katom_start, katom_end, &
     534             :                                latom_start, latom_end, &
     535             :                                kind_of, basis_parameter, particle_set, &
     536             :                                do_periodic, screen_coeffs_set, screen_coeffs_kind, &
     537             :                                coeffs_kind_max0, log10_eps_schwarz, cell, 0.D+00, &
     538          43 :                                shm_atomic_pair_list)
     539             : 
     540         215 :       ALLOCATE (BIb(dimen, dimen, elements_ij_proc))
     541     1296103 :       BIb = 0.0D+00
     542       64195 :       C_T = TRANSPOSE(C)
     543             : 
     544          43 :       IF (PRESENT(occupied_beta) .AND. PRESENT(C_beta) .AND. PRESENT(Auto_beta)) THEN
     545          40 :          ALLOCATE (C_beta_T(dimen, dimen))
     546        9322 :          C_beta_T(:, :) = TRANSPOSE(C_beta)
     547             :          alpha_beta_case = .TRUE.
     548             :       END IF
     549             : 
     550          43 :       ij_elem_max = elements_ij_proc
     551          43 :       CALL para_env%max(ij_elem_max)
     552             : 
     553             :       ! calculate the minimum multiple of num_pe >= to Ni_occupied*occupied, in such a way
     554             :       ! that the i, j loop is performed exactly the same number of time for each procewssor
     555          43 :       multiple = 0
     556             :       DO
     557         402 :          multiple = multiple + para_env%num_pe
     558         402 :          IF (multiple >= Ni_occupied*Nj_occupied) EXIT
     559             :       END DO
     560             : 
     561             :       ! proc_num_task contains the number of times the second occupied
     562             :       ! orbital transformation is called for each processor, needs for balancing
     563             :       ! the point to point send
     564         129 :       ALLOCATE (proc_num_task(0:para_env%num_pe - 1))
     565             : 
     566         104 :       proc_num_task = 0
     567             : 
     568          43 :       counter_proc = 0
     569         204 :       DO i_list_ij = 1, list_ij%n_element
     570         161 :          iatom = list_ij%elements(i_list_ij)%pair(1)
     571         161 :          jatom = list_ij%elements(i_list_ij)%pair(2)
     572         161 :          i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
     573         161 :          i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
     574         161 :          ikind = list_ij%elements(i_list_ij)%kind_pair(1)
     575         161 :          jkind = list_ij%elements(i_list_ij)%kind_pair(2)
     576             : 
     577         161 :          nsgfb => basis_parameter(jkind)%nsgf
     578         161 :          nsgfa => basis_parameter(ikind)%nsgf
     579             : 
     580        6381 :          DO i_set_list_ij = i_set_list_ij_start, i_set_list_ij_stop
     581        6177 :             iset = set_list_ij(i_set_list_ij)%pair(1)
     582        6177 :             jset = set_list_ij(i_set_list_ij)%pair(2)
     583        6177 :             IF (iatom == jatom .AND. jset < iset) CYCLE
     584             : 
     585        4707 :             counter_proc = counter_proc + 1
     586        4707 :             proc_num = MOD(counter_proc, para_env%num_pe)
     587             : 
     588        6338 :             proc_num_task(proc_num) = proc_num_task(proc_num) + 1
     589             : 
     590             :          END DO
     591             :       END DO
     592             :       ! calculate the exact maximum number of calls to the second occupied
     593             :       ! orbital transformation
     594             :       ! max_num_call_sec_transf=MAXVAL(proc_num_task)
     595             : 
     596             :       ! distribute the RS pair over all processor
     597         129 :       ALLOCATE (kl_list_proc(proc_num_task(para_env%mepos), 3))
     598             : 
     599       14131 :       kl_list_proc = 0
     600             : 
     601             :       counter_proc = 0
     602             :       elements_kl_proc = 0
     603         204 :       DO i_list_ij = 1, list_ij%n_element
     604         161 :          iatom = list_ij%elements(i_list_ij)%pair(1)
     605         161 :          jatom = list_ij%elements(i_list_ij)%pair(2)
     606         161 :          i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
     607         161 :          i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
     608         161 :          ikind = list_ij%elements(i_list_ij)%kind_pair(1)
     609         161 :          jkind = list_ij%elements(i_list_ij)%kind_pair(2)
     610             : 
     611         161 :          nsgfb => basis_parameter(jkind)%nsgf
     612         161 :          nsgfa => basis_parameter(ikind)%nsgf
     613             : 
     614        6381 :          DO i_set_list_ij = i_set_list_ij_start, i_set_list_ij_stop
     615        6177 :             iset = set_list_ij(i_set_list_ij)%pair(1)
     616        6177 :             jset = set_list_ij(i_set_list_ij)%pair(2)
     617        6177 :             IF (iatom == jatom .AND. jset < iset) CYCLE
     618             : 
     619        4707 :             counter_proc = counter_proc + 1
     620        4707 :             proc_num = MOD(counter_proc, para_env%num_pe)
     621             : 
     622        4868 :             IF (proc_num == para_env%mepos) THEN
     623        4653 :                elements_kl_proc = elements_kl_proc + 1
     624        4653 :                kl_list_proc(elements_kl_proc, 1) = i_list_ij
     625        4653 :                kl_list_proc(elements_kl_proc, 2) = i_set_list_ij
     626        4653 :                kl_list_proc(elements_kl_proc, 3) = counter_proc
     627             :             END IF
     628             : 
     629             :          END DO
     630             :       END DO
     631             : 
     632         104 :       total_num_RS_task = SUM(proc_num_task)
     633         129 :       ALLOCATE (task_counter_RS(total_num_RS_task, 4))
     634             : 
     635         129 :       ALLOCATE (cost_RS(total_num_RS_task))
     636             : 
     637       19043 :       task_counter_RS = 0
     638        4750 :       cost_RS = 0.0_dp
     639             : 
     640         129 :       DO case_index = 1, 2
     641             : 
     642             :          my_num_call_sec_transf = 0
     643        9392 :          DO index_kl = 1, elements_kl_proc
     644             : 
     645        9306 :             i_list_ij = kl_list_proc(index_kl, 1)
     646        9306 :             i_set_list_ij = kl_list_proc(index_kl, 2)
     647             : 
     648        9306 :             iatom = list_ij%elements(i_list_ij)%pair(1)
     649        9306 :             jatom = list_ij%elements(i_list_ij)%pair(2)
     650        9306 :             i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
     651        9306 :             i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
     652        9306 :             ikind = list_ij%elements(i_list_ij)%kind_pair(1)
     653        9306 :             jkind = list_ij%elements(i_list_ij)%kind_pair(2)
     654       37224 :             ra = list_ij%elements(i_list_ij)%r1
     655       37224 :             rb = list_ij%elements(i_list_ij)%r2
     656        9306 :             rab2 = list_ij%elements(i_list_ij)%dist2
     657             : 
     658        9306 :             la_max => basis_parameter(ikind)%lmax
     659        9306 :             la_min => basis_parameter(ikind)%lmin
     660        9306 :             npgfa => basis_parameter(ikind)%npgf
     661        9306 :             nseta = basis_parameter(ikind)%nset
     662        9306 :             zeta => basis_parameter(ikind)%zet
     663        9306 :             nsgfa => basis_parameter(ikind)%nsgf
     664        9306 :             sphi_a_ext => basis_parameter(ikind)%sphi_ext(:, :, :, :)
     665        9306 :             nsgfl_a => basis_parameter(ikind)%nsgfl
     666        9306 :             sphi_a_u1 = UBOUND(sphi_a_ext, 1)
     667        9306 :             sphi_a_u2 = UBOUND(sphi_a_ext, 2)
     668        9306 :             sphi_a_u3 = UBOUND(sphi_a_ext, 3)
     669             : 
     670        9306 :             lb_max => basis_parameter(jkind)%lmax
     671        9306 :             lb_min => basis_parameter(jkind)%lmin
     672        9306 :             npgfb => basis_parameter(jkind)%npgf
     673        9306 :             nsetb = basis_parameter(jkind)%nset
     674        9306 :             zetb => basis_parameter(jkind)%zet
     675        9306 :             nsgfb => basis_parameter(jkind)%nsgf
     676        9306 :             sphi_b_ext => basis_parameter(jkind)%sphi_ext(:, :, :, :)
     677        9306 :             nsgfl_b => basis_parameter(jkind)%nsgfl
     678        9306 :             sphi_b_u1 = UBOUND(sphi_b_ext, 1)
     679        9306 :             sphi_b_u2 = UBOUND(sphi_b_ext, 2)
     680        9306 :             sphi_b_u3 = UBOUND(sphi_b_ext, 3)
     681             : 
     682        9306 :             iset = set_list_ij(i_set_list_ij)%pair(1)
     683        9306 :             jset = set_list_ij(i_set_list_ij)%pair(2)
     684             : 
     685        9306 :             ncob = npgfb(jset)*ncoset(lb_max(jset))
     686             :             max_val1 = screen_coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2 + &
     687        9306 :                        screen_coeffs_set(jset, iset, jkind, ikind)%x(2)
     688             : 
     689        9306 :             sphi_a_ext_set => sphi_a_ext(:, :, :, iset)
     690        9306 :             sphi_b_ext_set => sphi_b_ext(:, :, :, jset)
     691             : 
     692        9306 :             IF (case_index == 1) THEN
     693        4653 :                global_counter = kl_list_proc(index_kl, 3)
     694        4653 :                task_counter_RS(global_counter, 1) = i_list_ij
     695        4653 :                task_counter_RS(global_counter, 2) = i_set_list_ij
     696        4653 :                task_counter_RS(global_counter, 3) = nsgfb(jset)*nsgfa(iset)
     697             :             END IF
     698             : 
     699        9306 :             IF (ALLOCATED(BI1)) DEALLOCATE (BI1)
     700       55836 :             ALLOCATE (BI1(dimen, Ni_occupied, nsgfb(jset), nsgfa(iset)))
     701             : 
     702    12485758 :             BI1 = 0.D+00
     703             : 
     704       71604 :             DO i_list_kl = 1, list_kl%n_element
     705             : 
     706       62298 :                katom = list_kl%elements(i_list_kl)%pair(1)
     707       62298 :                latom = list_kl%elements(i_list_kl)%pair(2)
     708             : 
     709       62298 :                i_set_list_kl_start = list_kl%elements(i_list_kl)%set_bounds(1)
     710       62298 :                i_set_list_kl_stop = list_kl%elements(i_list_kl)%set_bounds(2)
     711       62298 :                kkind = list_kl%elements(i_list_kl)%kind_pair(1)
     712       62298 :                lkind = list_kl%elements(i_list_kl)%kind_pair(2)
     713      249192 :                rc = list_kl%elements(i_list_kl)%r1
     714      249192 :                rd = list_kl%elements(i_list_kl)%r2
     715       62298 :                rcd2 = list_kl%elements(i_list_kl)%dist2
     716             : 
     717       62298 :                pmax_atom = 0.0_dp
     718             : 
     719             :                screen_kind_ij = screen_coeffs_kind(jkind, ikind)%x(1)*rab2 + &
     720       62298 :                                 screen_coeffs_kind(jkind, ikind)%x(2)
     721             :                screen_kind_kl = screen_coeffs_kind(lkind, kkind)%x(1)*rcd2 + &
     722       62298 :                                 screen_coeffs_kind(lkind, kkind)%x(2)
     723             : 
     724             :                !!!!! Change the loop order
     725       62298 :                IF (max_val1 + screen_kind_kl + pmax_atom < log10_eps_schwarz) CYCLE
     726             :                !!!!!
     727       62274 :                IF (screen_kind_ij + screen_kind_kl + pmax_atom < log10_eps_schwarz) CYCLE
     728             : 
     729       62274 :                lc_max => basis_parameter(kkind)%lmax
     730       62274 :                lc_min => basis_parameter(kkind)%lmin
     731       62274 :                npgfc => basis_parameter(kkind)%npgf
     732       62274 :                zetc => basis_parameter(kkind)%zet
     733       62274 :                nsgfc => basis_parameter(kkind)%nsgf
     734       62274 :                sphi_c_ext => basis_parameter(kkind)%sphi_ext(:, :, :, :)
     735       62274 :                nsgfl_c => basis_parameter(kkind)%nsgfl
     736       62274 :                sphi_c_u1 = UBOUND(sphi_c_ext, 1)
     737       62274 :                sphi_c_u2 = UBOUND(sphi_c_ext, 2)
     738       62274 :                sphi_c_u3 = UBOUND(sphi_c_ext, 3)
     739             : 
     740       62274 :                ld_max => basis_parameter(lkind)%lmax
     741       62274 :                ld_min => basis_parameter(lkind)%lmin
     742       62274 :                npgfd => basis_parameter(lkind)%npgf
     743       62274 :                zetd => basis_parameter(lkind)%zet
     744       62274 :                nsgfd => basis_parameter(lkind)%nsgf
     745       62274 :                sphi_d_ext => basis_parameter(lkind)%sphi_ext(:, :, :, :)
     746       62274 :                nsgfl_d => basis_parameter(lkind)%nsgfl
     747       62274 :                sphi_d_u1 = UBOUND(sphi_d_ext, 1)
     748       62274 :                sphi_d_u2 = UBOUND(sphi_d_ext, 2)
     749       62274 :                sphi_d_u3 = UBOUND(sphi_d_ext, 3)
     750             : 
     751     2761710 :                DO i_set_list_kl = i_set_list_kl_start, i_set_list_kl_stop
     752     2690130 :                   kset = set_list_kl(i_set_list_kl)%pair(1)
     753     2690130 :                   lset = set_list_kl(i_set_list_kl)%pair(2)
     754             : 
     755     2690130 :                   IF (katom == latom .AND. lset < kset) CYCLE
     756             : 
     757             :                   max_val2_set = (screen_coeffs_set(lset, kset, lkind, kkind)%x(1)*rcd2 + &
     758     2076726 :                                   screen_coeffs_set(lset, kset, lkind, kkind)%x(2))
     759     2076726 :                   max_val2 = max_val1 + max_val2_set
     760             : 
     761             :                   !! Near field screening
     762     2076726 :                   IF (max_val2 + pmax_atom < log10_eps_schwarz) CYCLE
     763     2023538 :                   sphi_c_ext_set => sphi_c_ext(:, :, :, kset)
     764     2023538 :                   sphi_d_ext_set => sphi_d_ext(:, :, :, lset)
     765             :                   !! get max_vals if we screen on initial density
     766     2023538 :                   pmax_entry = 0.0_dp
     767             : 
     768     2023538 :                   log10_pmax = pmax_entry
     769     2023538 :                   max_val2 = max_val2 + log10_pmax
     770             :                   IF (max_val2 < log10_eps_schwarz) CYCLE
     771     2023538 :                   pmax_entry = EXP(log10_pmax*ln_10)
     772             : 
     773     2085836 :                   IF (case_index == 2) THEN
     774     1011769 :                      IF (ALLOCATED(MNRS)) DEALLOCATE (MNRS)
     775     6070614 :                      ALLOCATE (MNRS(nsgfd(lset), nsgfc(kset), nsgfb(jset), nsgfa(iset)))
     776             : 
     777    82996187 :                      MNRS = 0.D+00
     778             : 
     779             :                      max_contraction_val = max_contraction(iset, iatom)* &
     780             :                                            max_contraction(jset, jatom)* &
     781             :                                            max_contraction(kset, katom)* &
     782     1011769 :                                            max_contraction(lset, latom)*pmax_entry
     783     1011769 :                      tmp_R_1 => radii_pgf(:, :, jset, iset, jkind, ikind)
     784     1011769 :                      tmp_R_2 => radii_pgf(:, :, lset, kset, lkind, kkind)
     785     1011769 :                      tmp_screen_pgf1 => screen_coeffs_pgf(:, :, jset, iset, jkind, ikind)
     786     1011769 :                      tmp_screen_pgf2 => screen_coeffs_pgf(:, :, lset, kset, lkind, kkind)
     787             : 
     788             :                      CALL coulomb4(private_lib, ra, rb, rc, rd, npgfa(iset), npgfb(jset), npgfc(kset), npgfd(lset), &
     789             :                                    la_min(iset), la_max(iset), lb_min(jset), lb_max(jset), &
     790             :                                    lc_min(kset), lc_max(kset), ld_min(lset), ld_max(lset), &
     791             :                                    nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
     792             :                                    sphi_a_u1, sphi_a_u2, sphi_a_u3, &
     793             :                                    sphi_b_u1, sphi_b_u2, sphi_b_u3, &
     794             :                                    sphi_c_u1, sphi_c_u2, sphi_c_u3, &
     795             :                                    sphi_d_u1, sphi_d_u2, sphi_d_u3, &
     796             :                                    zeta(1:npgfa(iset), iset), zetb(1:npgfb(jset), jset), &
     797             :                                    zetc(1:npgfc(kset), kset), zetd(1:npgfd(lset), lset), &
     798             :                                    primitive_integrals, &
     799             :                                    mp2_potential_parameter, &
     800             :                                    actual_x_data%neighbor_cells, screen_coeffs_set(jset, iset, jkind, ikind)%x, &
     801             :                                    screen_coeffs_set(lset, kset, lkind, kkind)%x, eps_schwarz, &
     802             :                                    max_contraction_val, cartesian_estimate, cell, neris_tmp, &
     803             :                                    log10_pmax, log10_eps_schwarz, &
     804             :                                    tmp_R_1, tmp_R_2, tmp_screen_pgf1, tmp_screen_pgf2, &
     805             :                                    pgf_list_ij, pgf_list_kl, pgf_product_list, &
     806             :                                    nsgfl_a(:, iset), nsgfl_b(:, jset), &
     807             :                                    nsgfl_c(:, kset), nsgfl_d(:, lset), &
     808             :                                    sphi_a_ext_set, &
     809             :                                    sphi_b_ext_set, &
     810             :                                    sphi_c_ext_set, &
     811             :                                    sphi_d_ext_set, &
     812             :                                    ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp, &
     813     1011769 :                                    nimages, do_periodic, p_work)
     814             : 
     815     1011769 :                      nints = nsgfa(iset)*nsgfb(jset)*nsgfc(kset)*nsgfd(lset)
     816     1011769 :                      neris_total = neris_total + nints
     817     1011769 :                      nprim_ints = nprim_ints + neris_tmp
     818     1011769 :                      IF (cartesian_estimate == 0.0_dp) cartesian_estimate = TINY(cartesian_estimate)
     819     1011769 :                      estimate_to_store_int = EXPONENT(cartesian_estimate)
     820     1011769 :                      estimate_to_store_int = MAX(estimate_to_store_int, -15_int_8)
     821     1011769 :                      cartesian_estimate = SET_EXPONENT(1.0_dp, estimate_to_store_int + 1)
     822             : 
     823     1011769 :                      IF (cartesian_estimate < eps_schwarz) CYCLE
     824             : 
     825             :                      primitive_counter = 0
     826     3501876 :                      DO llB = 1, nsgfd(lset)
     827    10171505 :                         DO kkB = 1, nsgfc(kset)
     828    28159746 :                            DO jjB = 1, nsgfb(jset)
     829    80452823 :                               DO iiB = 1, nsgfa(iset)
     830    54784876 :                                  primitive_counter = primitive_counter + 1
     831    73783194 :                                  MNRS(llB, kkB, jjB, iiB) = primitive_integrals(primitive_counter)
     832             :                               END DO
     833             :                            END DO
     834             :                         END DO
     835             :                      END DO
     836             : 
     837             :                      CALL transform_occupied_orbitals_first(dimen, iatom, jatom, katom, latom, &
     838             :                                                             iset, jset, kset, lset, &
     839             :                                                             nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
     840             :                                                             i_batch_start, Ni_occupied, &
     841     1010077 :                                                             MNRS, C_T, mp2_biel, BI1)
     842             :                   ELSE
     843     1011769 :                      task_counter_RS(global_counter, 4) = task_counter_RS(global_counter, 4) + 1
     844             : 
     845     1011769 :                      cost_tmp = 0.0_dp
     846             :                      cost_tmp = cost_model(nsgfd(lset), nsgfc(kset), nsgfb(jset), nsgfa(iset), &
     847             :                                            npgfd(lset), npgfc(kset), npgfb(jset), npgfa(iset), &
     848             :                                            max_val2/log10_eps_schwarz, &
     849     1011769 :                                            p1_energy, p2_energy, p3_energy)
     850     1011769 :                      cost_RS(global_counter) = cost_RS(global_counter) + cost_tmp
     851             :                   END IF
     852             : 
     853             :                END DO ! i_set_list_kl
     854             :             END DO ! i_list_kl
     855             : 
     856        9392 :             IF (case_index == 2) THEN
     857        4653 :                my_num_call_sec_transf = my_num_call_sec_transf + 1
     858        4653 :                IF (.NOT. alpha_beta_case) THEN
     859        3993 :                   IF (.NOT. mp2_env%direct_canonical%big_send) THEN
     860             :                      CALL transform_occupied_orbitals_second(dimen, iatom, jatom, iset, jset, &
     861             :                                                              nsgfa(iset), nsgfb(jset), Ni_occupied, Nj_occupied, j_batch_start, &
     862             :                                                              BI1, C_T, mp2_biel, para_env, elements_ij_proc, &
     863           0 :                                                              multiple, BIb)
     864             :                   ELSE
     865             :                      CALL transform_occupied_orbitals_second_big( &
     866             :                         dimen, iatom, jatom, iset, jset, &
     867             :                         nsgfa(iset), nsgfb(jset), Ni_occupied, Nj_occupied, j_batch_start, &
     868        3993 :                         ij_elem_max, BI1, C_T, mp2_biel, para_env, elements_ij_proc, BIb)
     869             :                   END IF
     870             :                ELSE
     871         660 :                   IF (.NOT. mp2_env%direct_canonical%big_send) THEN
     872             :                      CALL transform_occupied_orbitals_second(dimen, iatom, jatom, iset, jset, &
     873             :                                                              nsgfa(iset), nsgfb(jset), Ni_occupied, Nj_occupied, j_batch_start, &
     874             :                                                              BI1, C_beta_T, mp2_biel, para_env, elements_ij_proc, &
     875           0 :                                                              multiple, BIb)
     876             :                   ELSE
     877             :                      CALL transform_occupied_orbitals_second_big( &
     878             :                         dimen, iatom, jatom, iset, jset, &
     879             :                         nsgfa(iset), nsgfb(jset), Ni_occupied, Nj_occupied, j_batch_start, &
     880         660 :                         ij_elem_max, BI1, C_beta_T, mp2_biel, para_env, elements_ij_proc, BIb)
     881             :                   END IF
     882             :                END IF
     883             :             END IF
     884             : 
     885             :          END DO !i_list_ij
     886             : 
     887         129 :          IF (case_index == 1) THEN
     888          43 :             CALL para_env%sum(task_counter_RS)
     889          43 :             CALL para_env%sum(cost_RS)
     890          86 :             ALLOCATE (task_counter_RS_temp(total_num_RS_task, 4))
     891             : 
     892          86 :             ALLOCATE (cost_RS_temp(total_num_RS_task))
     893             : 
     894          43 :             step_size = 1
     895         129 :             ALLOCATE (same_size_kl_elements_counter((nsgf_max**2 + 1)/step_size + 1))
     896             : 
     897        1372 :             same_size_kl_elements_counter = 0
     898             : 
     899          43 :             same_size_kl_index = 0
     900          43 :             global_counter = 0
     901          43 :             DO iiB = nsgf_max**2 + 1, 0, -step_size
     902      149802 :                DO jjB = 1, total_num_RS_task
     903      149802 :                   IF (task_counter_RS(jjB, 3) > iiB - step_size .AND. task_counter_RS(jjB, 3) <= iiB) THEN
     904        4707 :                      global_counter = global_counter + 1
     905       23535 :                      task_counter_RS_temp(global_counter, 1:4) = task_counter_RS(jjB, 1:4)
     906        4707 :                      cost_RS_temp(global_counter) = cost_RS(jjB)
     907             :                   END IF
     908             :                END DO
     909        1329 :                same_size_kl_index = same_size_kl_index + 1
     910        1329 :                same_size_kl_elements_counter(same_size_kl_index) = global_counter
     911             :             END DO
     912             : 
     913          43 :             DEALLOCATE (task_counter_RS)
     914          43 :             DEALLOCATE (cost_RS)
     915             : 
     916          43 :             i_start = 1
     917        1372 :             DO same_size_kl_index = 1, SIZE(same_size_kl_elements_counter)
     918        6036 :                DO iiB = i_start, same_size_kl_elements_counter(same_size_kl_index)
     919      100828 :                   DO jjB = iiB + 1, same_size_kl_elements_counter(same_size_kl_index)
     920             : 
     921       99499 :                      IF (cost_RS_temp(jjB) >= cost_RS_temp(iiB)) THEN
     922      213860 :                         RS_counter_temp = task_counter_RS_temp(iiB, 1:4)
     923      213860 :                         task_counter_RS_temp(iiB, 1:4) = task_counter_RS_temp(jjB, 1:4)
     924      213860 :                         task_counter_RS_temp(jjB, 1:4) = RS_counter_temp
     925             : 
     926       42772 :                         cost_tmp = cost_RS_temp(iiB)
     927       42772 :                         cost_RS_temp(iiB) = cost_RS_temp(jjB)
     928       42772 :                         cost_RS_temp(jjB) = cost_tmp
     929             :                      END IF
     930             :                   END DO
     931             :                END DO
     932        1372 :                i_start = same_size_kl_elements_counter(same_size_kl_index) + 1
     933             :             END DO
     934             : 
     935         104 :             proc_num_task = 0
     936        4750 :             DO counter_proc = 1, total_num_RS_task
     937        4707 :                proc_num = MOD(counter_proc, para_env%num_pe)
     938        4750 :                proc_num_task(proc_num) = proc_num_task(proc_num) + 1
     939             :             END DO
     940             : 
     941         104 :             max_num_call_sec_transf = MAXVAL(proc_num_task)
     942             : 
     943          43 :             DEALLOCATE (kl_list_proc)
     944         129 :             ALLOCATE (kl_list_proc(proc_num_task(para_env%mepos), 2))
     945             : 
     946        9435 :             kl_list_proc = 0
     947             : 
     948             :             elements_kl_proc = 0
     949        4750 :             DO counter_proc = 1, total_num_RS_task
     950        4707 :                proc_num = MOD(counter_proc, para_env%num_pe)
     951        4750 :                IF (proc_num == para_env%mepos) THEN
     952        4653 :                   elements_kl_proc = elements_kl_proc + 1
     953        4653 :                   kl_list_proc(elements_kl_proc, 1) = task_counter_RS_temp(counter_proc, 1)
     954        4653 :                   kl_list_proc(elements_kl_proc, 2) = task_counter_RS_temp(counter_proc, 2)
     955             :                END IF
     956             :             END DO
     957             : 
     958          43 :             DEALLOCATE (task_counter_RS_temp)
     959          43 :             DEALLOCATE (cost_RS_temp)
     960             :          END IF
     961             :       END DO ! case_index
     962             : 
     963          43 :       size_parameter_send(1) = 1
     964          43 :       size_parameter_send(2) = 1
     965          43 :       size_parameter_send(3) = 0
     966          43 :       size_parameter_send(4) = 0
     967          43 :       size_parameter_send(5) = elements_ij_proc
     968             : 
     969          43 :       IF (mp2_env%direct_canonical%big_send) THEN
     970         172 :          ALLOCATE (zero_mat_big(dimen, 2, ij_elem_max))
     971             : 
     972             :       END IF
     973             : 
     974          43 :       DO iiB = my_num_call_sec_transf + 1, max_num_call_sec_transf
     975          43 :          DO index_proc_shift = 0, para_env%num_pe - 1
     976             : 
     977           0 :             proc_send = MODULO(para_env%mepos + index_proc_shift, para_env%num_pe)
     978           0 :             proc_receive = MODULO(para_env%mepos - index_proc_shift, para_env%num_pe)
     979             : 
     980           0 :             case_send_receive = (proc_send /= para_env%mepos)
     981             : 
     982           0 :             IF (case_send_receive) THEN
     983             :                ! the processor starts to send (and receive?)
     984             : 
     985           0 :                CALL para_env%sendrecv(size_parameter_send, proc_send, size_parameter_rec, proc_receive)
     986             : 
     987           0 :                Rsize_rec = size_parameter_rec(1)
     988           0 :                Ssize_rec = size_parameter_rec(2)
     989           0 :                R_offset_rec = size_parameter_rec(3)
     990           0 :                S_offset_rec = size_parameter_rec(4)
     991           0 :                elements_ij_proc_rec = size_parameter_rec(5)
     992           0 :                IF (.NOT. mp2_env%direct_canonical%big_send) THEN
     993           0 :                   ALLOCATE (BIb_RS_mat_rec(dimen, Rsize_rec + Ssize_rec))
     994             :                ELSE
     995           0 :                   ALLOCATE (BIb_RS_mat_rec_big(dimen, Rsize_rec + Ssize_rec, ij_elem_max))
     996             :                END IF
     997             :             ELSE
     998           0 :                elements_ij_proc_rec = elements_ij_proc
     999             :             END IF
    1000             : 
    1001           0 :             IF (.NOT. mp2_env%direct_canonical%big_send) THEN
    1002           0 :                index_ij_send = 0
    1003           0 :                index_ij_rec = 0
    1004           0 :                DO index_proc_ij = proc_send + 1, multiple, para_env%num_pe
    1005             : 
    1006           0 :                   zero_mat = 0.D+00
    1007             : 
    1008           0 :                   IF (case_send_receive) THEN
    1009             : 
    1010           0 :                      CALL para_env%sendrecv(zero_mat, proc_send, BIb_RS_mat_rec, proc_receive)
    1011             : 
    1012           0 :                      index_ij_rec = index_ij_rec + 1
    1013           0 :                      IF (index_ij_rec <= elements_ij_proc .AND. elements_ij_proc > 0) THEN
    1014             : 
    1015             :                         BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, index_ij_rec) = &
    1016             :                            BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, index_ij_rec) + &
    1017           0 :                            BIb_RS_mat_rec(1:dimen, 1:Rsize_rec)
    1018             : 
    1019             :                         BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, index_ij_rec) = &
    1020             :                            BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, index_ij_rec) + &
    1021           0 :                            BIb_RS_mat_rec(1:dimen, Rsize_rec + 1:Rsize_rec + Ssize_rec)
    1022             : 
    1023             :                      END IF
    1024             :                   END IF
    1025             : 
    1026             :                END DO
    1027             :             ELSE
    1028           0 :                zero_mat_big = 0.D+00
    1029             : 
    1030           0 :                IF (case_send_receive) THEN
    1031             : 
    1032           0 :                   CALL para_env%sendrecv(zero_mat_big, proc_send, BIb_RS_mat_rec_big, proc_receive)
    1033             : 
    1034             :                   BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, 1:elements_ij_proc) = &
    1035             :                      BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, 1:elements_ij_proc) + &
    1036           0 :                      BIb_RS_mat_rec_big(1:dimen, 1:Rsize_rec, 1:elements_ij_proc)
    1037             : 
    1038             :                   BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, 1:elements_ij_proc) = &
    1039             :                      BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, 1:elements_ij_proc) + &
    1040           0 :                      BIb_RS_mat_rec_big(1:dimen, Rsize_rec + 1:Rsize_rec + Ssize_rec, 1:elements_ij_proc)
    1041             : 
    1042             :                END IF
    1043             :             END IF
    1044             : 
    1045           0 :             IF (case_send_receive) THEN
    1046           0 :                IF (.NOT. mp2_env%direct_canonical%big_send) THEN
    1047           0 :                   DEALLOCATE (BIb_RS_mat_rec)
    1048             :                ELSE
    1049           0 :                   DEALLOCATE (BIb_RS_mat_rec_big)
    1050             :                END IF
    1051             :             END IF
    1052             : 
    1053             :          END DO
    1054             :       END DO
    1055             : 
    1056          43 :       IF (mp2_env%direct_canonical%big_send) THEN
    1057          43 :          DEALLOCATE (zero_mat_big)
    1058             :       END IF
    1059             : 
    1060          43 :       logger => cp_get_default_logger()
    1061             : 
    1062          43 :       DEALLOCATE (primitive_integrals)
    1063             : 
    1064          43 :       IF (.NOT. alpha_beta_case) THEN
    1065             :          CALL transform_virtual_orbitals_and_accumulate(dimen, occupied, dimen - occupied, i_batch_start, &
    1066             :                                                         j_batch_start, BIb, C, Auto, elements_ij_proc, ij_list_proc, &
    1067          33 :                                                         nspins, Emp2, Emp2_Cou, Emp2_ex)
    1068             :       ELSE
    1069             :          CALL transform_virtual_orbitals_and_accumulate_ABcase( &
    1070             :             dimen, occupied, occupied_beta, dimen - occupied, dimen - occupied_beta, &
    1071             :             i_batch_start, j_batch_start, &
    1072             :             BIb, C, C_beta, Auto, Auto_beta, &
    1073          10 :             elements_ij_proc, ij_list_proc, Emp2, Emp2_Cou)
    1074          10 :          DEALLOCATE (C_beta_T)
    1075             :       END IF
    1076             : 
    1077          43 :       IF (copy_integrals) THEN
    1078          18 :          IF (.NOT. alpha_beta_case) THEN
    1079          72 :             ALLOCATE (Integ_MP2(dimen - occupied, dimen - occupied, occupied, occupied))
    1080       11976 :             Integ_MP2 = 0.0_dp
    1081          72 :             DO i = 1, elements_ij_proc
    1082          60 :                iiB = ij_list_proc(i, 1)
    1083          60 :                jjB = ij_list_proc(i, 2)
    1084        5976 :                Integ_MP2(:, :, iiB + i_batch_start, jjB + j_batch_start) = BIb(1:dimen - occupied, 1:dimen - occupied, i)
    1085             :             END DO
    1086             :          ELSE
    1087          36 :             ALLOCATE (Integ_MP2(dimen - occupied, dimen - occupied_beta, occupied, occupied_beta))
    1088        5346 :             Integ_MP2 = 0.0_dp
    1089          30 :             DO i = 1, elements_ij_proc
    1090          24 :                iiB = ij_list_proc(i, 1)
    1091          24 :                jjB = ij_list_proc(i, 2)
    1092        2670 :                Integ_MP2(:, :, iiB + i_batch_start, jjB + j_batch_start) = BIb(1:dimen - occupied, 1:dimen - occupied_beta, i)
    1093             :             END DO
    1094             :          END IF
    1095             :       END IF
    1096          43 :       DEALLOCATE (BIb)
    1097             : 
    1098          43 :       DEALLOCATE (set_list_ij, set_list_kl)
    1099             : 
    1100        1665 :       DO i = 1, max_pgf**2
    1101        1622 :          DEALLOCATE (pgf_list_ij(i)%image_list)
    1102        1665 :          DEALLOCATE (pgf_list_kl(i)%image_list)
    1103             :       END DO
    1104             : 
    1105          43 :       DEALLOCATE (pgf_list_ij)
    1106          43 :       DEALLOCATE (pgf_list_kl)
    1107          43 :       DEALLOCATE (pgf_product_list)
    1108             : 
    1109          43 :       DEALLOCATE (max_contraction, kind_of)
    1110             : 
    1111          43 :       DEALLOCATE (ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp)
    1112             : 
    1113          43 :       DEALLOCATE (nimages)
    1114             : 
    1115          43 :       IF (mp2_env%potential_parameter%potential_type == do_potential_TShPSC) THEN
    1116           2 :          init_TShPSC_lmax = -1
    1117           2 :          CALL free_C0()
    1118             :       END IF
    1119             : 
    1120          43 :       CALL timestop(handle)
    1121             : 
    1122         139 :    END SUBROUTINE mp2_canonical_direct_single_batch
    1123             : 
    1124             : ! **************************************************************************************************
    1125             : !> \brief ...
    1126             : !> \param dimen ...
    1127             : !> \param latom ...
    1128             : !> \param katom ...
    1129             : !> \param jatom ...
    1130             : !> \param iatom ...
    1131             : !> \param lset ...
    1132             : !> \param kset ...
    1133             : !> \param jset ...
    1134             : !> \param iset ...
    1135             : !> \param Ssize ...
    1136             : !> \param Rsize ...
    1137             : !> \param Nsize ...
    1138             : !> \param Msize ...
    1139             : !> \param i_batch_start ...
    1140             : !> \param Ni_occupied ...
    1141             : !> \param MNRS ...
    1142             : !> \param C_T ...
    1143             : !> \param mp2_biel ...
    1144             : !> \param BI1 ...
    1145             : ! **************************************************************************************************
    1146     1010077 :    SUBROUTINE transform_occupied_orbitals_first(dimen, latom, katom, jatom, iatom, &
    1147             :                                                 lset, kset, jset, iset, &
    1148             :                                                 Ssize, Rsize, Nsize, Msize, &
    1149             :                                                 i_batch_start, Ni_occupied, &
    1150     1010077 :                                                 MNRS, C_T, mp2_biel, BI1)
    1151             : 
    1152             :       INTEGER, INTENT(IN)                                :: dimen, latom, katom, jatom, iatom, lset, &
    1153             :                                                             kset, jset, iset, Ssize, Rsize, Nsize, &
    1154             :                                                             Msize, i_batch_start, Ni_occupied
    1155             :       REAL(KIND=dp), &
    1156             :          DIMENSION(Msize, Nsize, Rsize, Ssize), &
    1157             :          INTENT(IN)                                      :: MNRS
    1158             :       REAL(KIND=dp), DIMENSION(dimen, dimen), INTENT(IN) :: C_T
    1159             :       TYPE(mp2_biel_type), INTENT(IN)                    :: mp2_biel
    1160             :       REAL(KIND=dp), &
    1161             :          DIMENSION(dimen, Ni_occupied, Rsize, Ssize), &
    1162             :          INTENT(INOUT)                                   :: BI1
    1163             : 
    1164             :       INTEGER                                            :: i, i_global, m, M_global, M_offset, &
    1165             :                                                             M_start, n, N_global, N_offset, r, &
    1166             :                                                             R_offset, R_start, s, S_offset
    1167             :       REAL(KIND=dp)                                      :: MNRS_element
    1168             : 
    1169     1010077 :       N_offset = mp2_biel%index_table(jatom, jset) - 1
    1170     1010077 :       M_offset = mp2_biel%index_table(iatom, iset) - 1
    1171     1010077 :       S_offset = mp2_biel%index_table(latom, lset) - 1
    1172     1010077 :       R_offset = mp2_biel%index_table(katom, kset) - 1
    1173             : 
    1174     3549406 :       DO S = 1, Ssize
    1175     2539329 :          R_start = 1
    1176     2539329 :          IF (katom == latom .AND. kset == lset) R_start = S
    1177     9924964 :          DO R = R_start, Rsize
    1178             : 
    1179             :             ! fast i don't know why
    1180    25956088 :             DO N = 1, Nsize
    1181    17041201 :                N_global = N + N_offset
    1182    17041201 :                M_start = 1
    1183    17041201 :                IF (iatom == jatom .AND. iset == jset) THEN
    1184     1686183 :                   M = N
    1185     1686183 :                   M_global = M + M_offset
    1186     1686183 :                   MNRS_element = MNRS(M, N, R, S)
    1187     7428033 :                   DO i = 1, Ni_occupied
    1188     5741850 :                      i_global = i + i_batch_start
    1189     7428033 :                      BI1(N_global, i, R, S) = BI1(N_global, i, R, S) + C_T(i_global, M_global)*MNRS_element
    1190             :                   END DO
    1191     1686183 :                   M_start = N + 1
    1192             :                END IF
    1193             : 
    1194    71485095 :                DO M = M_start, Msize
    1195    48068336 :                   M_global = M + M_offset
    1196    48068336 :                   MNRS_element = MNRS(M, N, R, S)
    1197   247797157 :                   DO i = 1, Ni_occupied
    1198   182687620 :                      i_global = i + i_batch_start
    1199   182687620 :                      BI1(N_global, i, R, S) = BI1(N_global, i, R, S) + C_T(i_global, M_global)*MNRS_element
    1200   230755956 :                      BI1(M_global, i, R, S) = BI1(M_global, i, R, S) + C_T(i_global, N_global)*MNRS_element
    1201             :                   END DO
    1202             :                END DO
    1203             :             END DO
    1204             : 
    1205             :          END DO
    1206             :       END DO
    1207             : 
    1208     1010077 :    END SUBROUTINE transform_occupied_orbitals_first
    1209             : 
    1210             : ! **************************************************************************************************
    1211             : !> \brief ...
    1212             : !> \param dimen ...
    1213             : !> \param latom ...
    1214             : !> \param katom ...
    1215             : !> \param lset ...
    1216             : !> \param kset ...
    1217             : !> \param Ssize ...
    1218             : !> \param Rsize ...
    1219             : !> \param Ni_occupied ...
    1220             : !> \param Nj_occupied ...
    1221             : !> \param j_batch_start ...
    1222             : !> \param BI1 ...
    1223             : !> \param C_T ...
    1224             : !> \param mp2_biel ...
    1225             : !> \param para_env ...
    1226             : !> \param elements_ij_proc ...
    1227             : !> \param multiple ...
    1228             : !> \param BIb ...
    1229             : ! **************************************************************************************************
    1230           0 :    SUBROUTINE transform_occupied_orbitals_second(dimen, latom, katom, lset, kset, &
    1231             :                                                  Ssize, Rsize, Ni_occupied, Nj_occupied, j_batch_start, &
    1232           0 :                                                  BI1, C_T, mp2_biel, para_env, &
    1233             :                                                  elements_ij_proc, &
    1234           0 :                                                  multiple, BIb)
    1235             : 
    1236             :       INTEGER, INTENT(IN)                                :: dimen, latom, katom, lset, kset, Ssize, &
    1237             :                                                             Rsize, Ni_occupied, Nj_occupied, &
    1238             :                                                             j_batch_start
    1239             :       REAL(KIND=dp), &
    1240             :          DIMENSION(dimen, Ni_occupied, Rsize, Ssize), &
    1241             :          INTENT(IN)                                      :: BI1
    1242             :       REAL(KIND=dp), DIMENSION(dimen, dimen), INTENT(IN) :: C_T
    1243             :       TYPE(mp2_biel_type), INTENT(IN)                    :: mp2_biel
    1244             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env
    1245             :       INTEGER, INTENT(IN)                                :: elements_ij_proc, multiple
    1246             :       REAL(KIND=dp), &
    1247             :          DIMENSION(dimen, dimen, elements_ij_proc), &
    1248             :          INTENT(INOUT)                                   :: BIb
    1249             : 
    1250             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'transform_occupied_orbitals_second'
    1251             : 
    1252             :       INTEGER :: elements_ij_proc_rec, handle, i, index_ij_rec, index_ij_send, index_proc_ij, &
    1253             :          index_proc_shift, j, n, proc_receive, proc_send, r, R_global, R_offset, R_offset_rec, &
    1254             :          R_start, Rsize_rec, s, S_global, S_offset, S_offset_rec, Ssize_rec
    1255             :       INTEGER, DIMENSION(5)                              :: size_parameter_rec, size_parameter_send
    1256             :       LOGICAL                                            :: case_send_receive
    1257             :       REAL(KIND=dp)                                      :: C_T_R, C_T_S
    1258           0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: BIb_RS_mat_rec
    1259           0 :       REAL(KIND=dp), DIMENSION(dimen, Rsize+Ssize)       :: BIb_RS_mat
    1260             : 
    1261           0 :       CALL timeset(routineN, handle)
    1262             : 
    1263           0 :       S_offset = mp2_biel%index_table(latom, lset) - 1
    1264           0 :       R_offset = mp2_biel%index_table(katom, kset) - 1
    1265             : 
    1266           0 :       size_parameter_send(1) = Rsize
    1267           0 :       size_parameter_send(2) = Ssize
    1268           0 :       size_parameter_send(3) = R_offset
    1269           0 :       size_parameter_send(4) = S_offset
    1270           0 :       size_parameter_send(5) = elements_ij_proc
    1271             : 
    1272           0 :       DO index_proc_shift = 0, para_env%num_pe - 1
    1273             : 
    1274           0 :          proc_send = MODULO(para_env%mepos + index_proc_shift, para_env%num_pe)
    1275           0 :          proc_receive = MODULO(para_env%mepos - index_proc_shift, para_env%num_pe)
    1276             : 
    1277           0 :          case_send_receive = (proc_send /= para_env%mepos)
    1278             : 
    1279           0 :          IF (case_send_receive) THEN
    1280             :             ! the processor starts to send (and receive?)
    1281             : 
    1282           0 :             CALL para_env%sendrecv(size_parameter_send, proc_send, size_parameter_rec, proc_receive)
    1283             : 
    1284           0 :             Rsize_rec = size_parameter_rec(1)
    1285           0 :             Ssize_rec = size_parameter_rec(2)
    1286           0 :             R_offset_rec = size_parameter_rec(3)
    1287           0 :             S_offset_rec = size_parameter_rec(4)
    1288           0 :             elements_ij_proc_rec = size_parameter_rec(5)
    1289           0 :             ALLOCATE (BIb_RS_mat_rec(dimen, Rsize_rec + Ssize_rec))
    1290             : 
    1291             :          ELSE
    1292           0 :             elements_ij_proc_rec = elements_ij_proc
    1293             :          END IF
    1294             : 
    1295           0 :          index_ij_send = 0
    1296           0 :          index_ij_rec = 0
    1297           0 :          DO index_proc_ij = proc_send + 1, multiple, para_env%num_pe
    1298             : 
    1299           0 :             BIb_RS_mat = zero
    1300           0 :             IF (index_proc_ij <= Ni_occupied*Nj_occupied) THEN
    1301             : 
    1302           0 :                index_ij_send = index_ij_send + 1
    1303             : 
    1304           0 :                i = (index_proc_ij - 1)/Nj_occupied + 1
    1305           0 :                j = index_proc_ij - (i - 1)*Nj_occupied + j_batch_start
    1306             : 
    1307           0 :                DO S = 1, Ssize
    1308           0 :                   S_global = S + S_offset
    1309           0 :                   R_start = 1
    1310           0 :                   IF (katom == latom .AND. kset == lset) R_start = S
    1311           0 :                   DO R = R_start, Rsize
    1312           0 :                      R_global = R + R_offset
    1313             : 
    1314           0 :                      IF (R_global /= S_global) THEN
    1315           0 :                         C_T_R = C_T(j, R_global)
    1316           0 :                         C_T_S = C_T(j, S_global)
    1317           0 :                         DO N = 1, dimen
    1318           0 :                            BIb_RS_mat(N, R) = BIb_RS_mat(N, R) + C_T_S*BI1(N, i, R, S)
    1319             :                         END DO
    1320           0 :                         DO N = 1, dimen
    1321           0 :                            BIb_RS_mat(N, Rsize + S) = BIb_RS_mat(N, Rsize + S) + C_T_R*BI1(N, i, R, S)
    1322             :                         END DO
    1323             :                      ELSE
    1324           0 :                         C_T_S = C_T(j, S_global)
    1325           0 :                         DO N = 1, dimen
    1326           0 :                            BIb_RS_mat(N, R) = BIb_RS_mat(N, R) + C_T_S*BI1(N, i, R, S)
    1327             :                         END DO
    1328             :                      END IF
    1329             : 
    1330             :                   END DO
    1331             :                END DO
    1332             : 
    1333             :             END IF
    1334             : 
    1335           0 :             IF (case_send_receive) THEN
    1336             : 
    1337           0 :                CALL para_env%sendrecv(BIb_RS_mat, proc_send, BIb_RS_mat_rec, proc_receive)
    1338             : 
    1339           0 :                index_ij_rec = index_ij_rec + 1
    1340           0 :                IF (index_ij_rec <= elements_ij_proc .AND. elements_ij_proc > 0) THEN
    1341             : 
    1342             :                   BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, index_ij_rec) = &
    1343             :                      BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, index_ij_rec) + &
    1344           0 :                      BIb_RS_mat_rec(1:dimen, 1:Rsize_rec)
    1345             : 
    1346             :                   BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, index_ij_rec) = &
    1347             :                      BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, index_ij_rec) + &
    1348           0 :                      BIb_RS_mat_rec(1:dimen, Rsize_rec + 1:Rsize_rec + Ssize_rec)
    1349             : 
    1350             :                END IF
    1351             :             ELSE
    1352             :                ! the processor is the sender and receiver itself
    1353           0 :                IF (index_ij_send <= elements_ij_proc .AND. elements_ij_proc > 0) THEN
    1354             : 
    1355             :                   BIb(1:dimen, R_offset + 1:R_offset + Rsize, index_ij_send) = &
    1356           0 :                      BIb(1:dimen, R_offset + 1:R_offset + Rsize, index_ij_send) + BIb_RS_mat(1:dimen, 1:Rsize)
    1357             : 
    1358             :                   BIb(1:dimen, S_offset + 1:S_offset + Ssize, index_ij_send) = &
    1359           0 :                      BIb(1:dimen, S_offset + 1:S_offset + Ssize, index_ij_send) + BIb_RS_mat(1:dimen, Rsize + 1:Rsize + Ssize)
    1360             : 
    1361             :                END IF
    1362             :             END IF
    1363             : 
    1364             :          END DO ! loop over the ij of the processor
    1365             : 
    1366           0 :          IF (case_send_receive) THEN
    1367           0 :             DEALLOCATE (BIb_RS_mat_rec)
    1368             :          END IF
    1369             : 
    1370             :       END DO ! loop over the processor starting from itself
    1371             : 
    1372           0 :       CALL timestop(handle)
    1373             : 
    1374           0 :    END SUBROUTINE transform_occupied_orbitals_second
    1375             : 
    1376             : ! **************************************************************************************************
    1377             : !> \brief ...
    1378             : !> \param dimen ...
    1379             : !> \param latom ...
    1380             : !> \param katom ...
    1381             : !> \param lset ...
    1382             : !> \param kset ...
    1383             : !> \param Ssize ...
    1384             : !> \param Rsize ...
    1385             : !> \param Ni_occupied ...
    1386             : !> \param Nj_occupied ...
    1387             : !> \param j_batch_start ...
    1388             : !> \param ij_elem_max ...
    1389             : !> \param BI1 ...
    1390             : !> \param C_T ...
    1391             : !> \param mp2_biel ...
    1392             : !> \param para_env ...
    1393             : !> \param elements_ij_proc ...
    1394             : !> \param BIb ...
    1395             : ! **************************************************************************************************
    1396        4653 :    SUBROUTINE transform_occupied_orbitals_second_big(dimen, latom, katom, lset, kset, &
    1397             :                                                      Ssize, Rsize, Ni_occupied, Nj_occupied, j_batch_start, &
    1398        4653 :                                                      ij_elem_max, BI1, C_T, mp2_biel, para_env, &
    1399        4653 :                                                      elements_ij_proc, BIb)
    1400             : 
    1401             :       INTEGER, INTENT(IN)                                :: dimen, latom, katom, lset, kset, Ssize, &
    1402             :                                                             Rsize, Ni_occupied, Nj_occupied, &
    1403             :                                                             j_batch_start, ij_elem_max
    1404             :       REAL(KIND=dp), &
    1405             :          DIMENSION(dimen, Ni_occupied, Rsize, Ssize), &
    1406             :          INTENT(IN)                                      :: BI1
    1407             :       REAL(KIND=dp), DIMENSION(dimen, dimen), INTENT(IN) :: C_T
    1408             :       TYPE(mp2_biel_type), INTENT(IN)                    :: mp2_biel
    1409             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env
    1410             :       INTEGER, INTENT(IN)                                :: elements_ij_proc
    1411             :       REAL(KIND=dp), &
    1412             :          DIMENSION(dimen, dimen, elements_ij_proc), &
    1413             :          INTENT(INOUT)                                   :: BIb
    1414             : 
    1415             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'transform_occupied_orbitals_second_big'
    1416             : 
    1417             :       INTEGER :: elements_ij_proc_rec, handle, i, index_ij_rec, index_ij_send, index_proc_ij, &
    1418             :          index_proc_shift, j, n, proc_receive, proc_send, r, R_global, R_offset, R_offset_rec, &
    1419             :          R_start, Rsize_rec, s, S_global, S_offset, S_offset_rec, Ssize_rec
    1420             :       INTEGER, DIMENSION(5)                              :: size_parameter_rec, size_parameter_send
    1421             :       LOGICAL                                            :: case_send_receive
    1422             :       REAL(KIND=dp)                                      :: C_T_R, C_T_S
    1423        4653 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: BIb_RS_mat_rec
    1424             :       REAL(KIND=dp), &
    1425        9306 :          DIMENSION(dimen, Rsize+Ssize, ij_elem_max)      :: BIb_RS_mat
    1426             : 
    1427        4653 :       CALL timeset(routineN, handle)
    1428             : 
    1429        4653 :       S_offset = mp2_biel%index_table(latom, lset) - 1
    1430        4653 :       R_offset = mp2_biel%index_table(katom, kset) - 1
    1431             : 
    1432        4653 :       size_parameter_send(1) = Rsize
    1433        4653 :       size_parameter_send(2) = Ssize
    1434        4653 :       size_parameter_send(3) = R_offset
    1435        4653 :       size_parameter_send(4) = S_offset
    1436        4653 :       size_parameter_send(5) = elements_ij_proc
    1437             : 
    1438        9360 :       DO index_proc_shift = 0, para_env%num_pe - 1
    1439             : 
    1440        4707 :          proc_send = MODULO(para_env%mepos + index_proc_shift, para_env%num_pe)
    1441        4707 :          proc_receive = MODULO(para_env%mepos - index_proc_shift, para_env%num_pe)
    1442             : 
    1443        4707 :          case_send_receive = (proc_send /= para_env%mepos)
    1444             : 
    1445        4707 :          IF (case_send_receive) THEN
    1446             :             ! the processor starts to send (and receive?)
    1447             : 
    1448          54 :             CALL para_env%sendrecv(size_parameter_send, proc_send, size_parameter_rec, proc_receive)
    1449             : 
    1450          54 :             Rsize_rec = size_parameter_rec(1)
    1451          54 :             Ssize_rec = size_parameter_rec(2)
    1452          54 :             R_offset_rec = size_parameter_rec(3)
    1453          54 :             S_offset_rec = size_parameter_rec(4)
    1454          54 :             elements_ij_proc_rec = size_parameter_rec(5)
    1455         270 :             ALLOCATE (BIb_RS_mat_rec(dimen, Rsize_rec + Ssize_rec, ij_elem_max))
    1456             :          ELSE
    1457        4707 :             elements_ij_proc_rec = elements_ij_proc
    1458             :          END IF
    1459             : 
    1460        4707 :          index_ij_send = 0
    1461        4707 :          index_ij_rec = 0
    1462    30728964 :          BIb_RS_mat = zero
    1463             : 
    1464       81312 :          DO index_proc_ij = proc_send + 1, Ni_occupied*Nj_occupied, para_env%num_pe
    1465             : 
    1466       76605 :             index_ij_send = index_ij_send + 1
    1467             : 
    1468       76605 :             i = (index_proc_ij - 1)/Nj_occupied + 1
    1469       76605 :             j = index_proc_ij - (i - 1)*Nj_occupied + j_batch_start
    1470             : 
    1471      290238 :             DO S = 1, Ssize
    1472      208926 :                S_global = S + S_offset
    1473      208926 :                R_start = 1
    1474      208926 :                IF (katom == latom .AND. kset == lset) R_start = S
    1475      907160 :                DO R = R_start, Rsize
    1476      621629 :                   R_global = R + R_offset
    1477             : 
    1478      830555 :                   IF (R_global /= S_global) THEN
    1479      601864 :                      C_T_R = C_T(j, R_global)
    1480      601864 :                      C_T_S = C_T(j, S_global)
    1481    45769383 :                      DO N = 1, dimen
    1482    45769383 :                         BIb_RS_mat(N, R, index_ij_send) = BIb_RS_mat(N, R, index_ij_send) + C_T_S*BI1(N, i, R, S)
    1483             :                      END DO
    1484    45769383 :                      DO N = 1, dimen
    1485    45769383 :                         BIb_RS_mat(N, Rsize + S, index_ij_send) = BIb_RS_mat(N, Rsize + S, index_ij_send) + C_T_R*BI1(N, i, R, S)
    1486             :                      END DO
    1487             :                   ELSE
    1488       19765 :                      C_T_S = C_T(j, S_global)
    1489     1295658 :                      DO N = 1, dimen
    1490     1295658 :                         BIb_RS_mat(N, R, index_ij_send) = BIb_RS_mat(N, R, index_ij_send) + C_T_S*BI1(N, i, R, S)
    1491             :                      END DO
    1492             :                   END IF
    1493             : 
    1494             :                END DO
    1495             :             END DO
    1496             : 
    1497             :          END DO
    1498             : 
    1499        9360 :          IF (case_send_receive) THEN
    1500             : 
    1501          54 :             CALL para_env%sendrecv(BIb_RS_mat, proc_send, BIb_RS_mat_rec, proc_receive)
    1502             : 
    1503             :             BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, 1:elements_ij_proc) = &
    1504             :                BIb(1:dimen, R_offset_rec + 1:R_offset_rec + Rsize_rec, 1:elements_ij_proc) + &
    1505       16182 :                BIb_RS_mat_rec(1:dimen, 1:Rsize_rec, 1:elements_ij_proc)
    1506             : 
    1507             :             BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, 1:elements_ij_proc) = &
    1508             :                BIb(1:dimen, S_offset_rec + 1:S_offset_rec + Ssize_rec, 1:elements_ij_proc) + &
    1509       15006 :                BIb_RS_mat_rec(1:dimen, Rsize_rec + 1:Rsize_rec + Ssize_rec, 1:elements_ij_proc)
    1510             : 
    1511          54 :             DEALLOCATE (BIb_RS_mat_rec)
    1512             :          ELSE
    1513             :             ! the processor is the sender and receiver itself
    1514             :             BIb(1:dimen, R_offset + 1:R_offset + Rsize, 1:elements_ij_proc) = &
    1515             :                BIb(1:dimen, R_offset + 1:R_offset + Rsize, 1:elements_ij_proc) + &
    1516    16293273 :                BIb_RS_mat(1:dimen, 1:Rsize, 1:elements_ij_proc)
    1517             : 
    1518             :             BIb(1:dimen, S_offset + 1:S_offset + Ssize, 1:elements_ij_proc) = &
    1519             :                BIb(1:dimen, S_offset + 1:S_offset + Ssize, 1:elements_ij_proc) + &
    1520    14485815 :                BIb_RS_mat(1:dimen, Rsize + 1:Rsize + Ssize, 1:elements_ij_proc)
    1521             : 
    1522             :          END IF
    1523             : 
    1524             :       END DO ! loop over the processor starting from itself
    1525             : 
    1526        4653 :       CALL timestop(handle)
    1527             : 
    1528        4653 :    END SUBROUTINE transform_occupied_orbitals_second_big
    1529             : 
    1530             : ! **************************************************************************************************
    1531             : !> \brief ...
    1532             : !> \param dimen ...
    1533             : !> \param occupied ...
    1534             : !> \param virtual ...
    1535             : !> \param i_batch_start ...
    1536             : !> \param j_batch_start ...
    1537             : !> \param BIb ...
    1538             : !> \param C ...
    1539             : !> \param Auto ...
    1540             : !> \param elements_ij_proc ...
    1541             : !> \param ij_list_proc ...
    1542             : !> \param nspins ...
    1543             : !> \param Emp2 ...
    1544             : !> \param Emp2_Cou ...
    1545             : !> \param Emp2_ex ...
    1546             : ! **************************************************************************************************
    1547          33 :    SUBROUTINE transform_virtual_orbitals_and_accumulate(dimen, occupied, virtual, i_batch_start, &
    1548          33 :                                                         j_batch_start, BIb, C, Auto, elements_ij_proc, &
    1549          33 :                                                         ij_list_proc, nspins, Emp2, Emp2_Cou, Emp2_ex)
    1550             : 
    1551             :       INTEGER, INTENT(IN)                                :: dimen, occupied, virtual, i_batch_start, &
    1552             :                                                             j_batch_start
    1553             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :), &
    1554             :          INTENT(INOUT)                                   :: BIb
    1555             :       REAL(KIND=dp), DIMENSION(dimen, dimen), INTENT(IN) :: C
    1556             :       REAL(KIND=dp), DIMENSION(dimen), INTENT(IN)        :: Auto
    1557             :       INTEGER, INTENT(IN)                                :: elements_ij_proc
    1558             :       INTEGER, DIMENSION(elements_ij_proc, 2), &
    1559             :          INTENT(IN)                                      :: ij_list_proc
    1560             :       INTEGER, INTENT(IN)                                :: nspins
    1561             :       REAL(KIND=dp), INTENT(INOUT)                       :: Emp2, Emp2_Cou, Emp2_ex
    1562             : 
    1563             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'transform_virtual_orbitals_and_accumulate'
    1564             :       REAL(KIND=dp), PARAMETER                           :: zero = 0.0_dp
    1565             : 
    1566             :       INTEGER                                            :: a, a_global, b, b_global, handle, i, &
    1567             :                                                             i_global, index_ij, j, j_global
    1568             :       REAL(KIND=dp)                                      :: iajb, ibja, parz, two
    1569          33 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: BIa
    1570             : 
    1571          33 :       CALL timeset(routineN, handle)
    1572             : 
    1573         132 :       ALLOCATE (BIa(dimen, virtual))
    1574             : 
    1575       48871 :       BIa = zero
    1576         389 :       DO index_ij = 1, elements_ij_proc
    1577             : 
    1578             :          CALL DGEMM('T', 'N', dimen, virtual, dimen, 1.0_dp, Bib(1, 1, index_ij), &
    1579         356 :                     dimen, C(1, occupied + 1), dimen, 0.0_dp, Bia(1, 1), dimen)
    1580     1100036 :          Bib(1:dimen, 1:virtual, index_ij) = Bia(1:dimen, 1:virtual)
    1581             : 
    1582             :       END DO
    1583             : 
    1584          33 :       DEALLOCATE (BIa)
    1585         132 :       ALLOCATE (BIa(virtual, virtual))
    1586             : 
    1587       43719 :       BIa = zero
    1588         389 :       DO index_ij = 1, elements_ij_proc
    1589             : 
    1590             :          CALL DGEMM('T', 'N', virtual, virtual, dimen, 1.0_dp, Bib(1, 1, index_ij), dimen, C(1, occupied + 1), dimen, 0.0_dp, &
    1591         356 :                     BIa(1, 1), virtual)
    1592      980141 :          BIb(1:virtual, 1:virtual, index_ij) = BIa(1:virtual, 1:virtual)
    1593             : 
    1594             :       END DO
    1595             : 
    1596          33 :       two = 2.0_dp/nspins
    1597         389 :       DO index_ij = 1, elements_ij_proc
    1598         356 :          i = ij_list_proc(index_ij, 1)
    1599         356 :          j = ij_list_proc(index_ij, 2)
    1600         356 :          i_global = i + i_batch_start
    1601         356 :          j_global = j + j_batch_start
    1602       16600 :          DO a = 1, virtual
    1603       16211 :             a_global = a + occupied
    1604      980108 :             DO b = 1, virtual
    1605      963541 :                b_global = b + occupied
    1606      963541 :                iajb = BIb(a, b, index_ij)
    1607      963541 :                ibja = BIb(b, a, index_ij)
    1608      963541 :                parz = iajb/(Auto(i_global) + Auto(j_global) - Auto(a_global) - Auto(b_global))
    1609             :                ! parz=parz*(two*iajb-ibja)   !Full
    1610             :                ! parz=parz*(iajb)            !Coulomb
    1611             :                ! parz=parz*(ibja)            !Coulomb
    1612             :                ! Emp2=Emp2+parz/nspins
    1613      963541 :                Emp2_Cou = Emp2_Cou + parz*two*(iajb)/nspins
    1614      963541 :                Emp2_ex = Emp2_ex - parz*(ibja)/nspins
    1615      979752 :                Emp2 = Emp2 + parz*(two*iajb - ibja)/nspins
    1616             :             END DO
    1617             :          END DO
    1618             :       END DO
    1619             : 
    1620          33 :       DEALLOCATE (BIa)
    1621             : 
    1622          33 :       CALL timestop(handle)
    1623             : 
    1624          33 :    END SUBROUTINE transform_virtual_orbitals_and_accumulate
    1625             : 
    1626             : ! **************************************************************************************************
    1627             : !> \brief ...
    1628             : !> \param dimen ...
    1629             : !> \param occ_i ...
    1630             : !> \param occ_j ...
    1631             : !> \param virt_i ...
    1632             : !> \param virt_j ...
    1633             : !> \param i_batch_start ...
    1634             : !> \param j_batch_start ...
    1635             : !> \param BIb ...
    1636             : !> \param C_i ...
    1637             : !> \param C_j ...
    1638             : !> \param Auto_i ...
    1639             : !> \param Auto_j ...
    1640             : !> \param elements_ij_proc ...
    1641             : !> \param ij_list_proc ...
    1642             : !> \param Emp2 ...
    1643             : !> \param Emp2_Cou ...
    1644             : ! **************************************************************************************************
    1645          10 :    SUBROUTINE transform_virtual_orbitals_and_accumulate_ABcase(dimen, occ_i, occ_j, virt_i, virt_j, i_batch_start, &
    1646          10 :                                                                j_batch_start, BIb, C_i, C_j, Auto_i, Auto_j, elements_ij_proc, &
    1647          10 :                                                                ij_list_proc, Emp2, Emp2_Cou)
    1648             : 
    1649             :       INTEGER, INTENT(IN)                                :: dimen, occ_i, occ_j, virt_i, virt_j, &
    1650             :                                                             i_batch_start, j_batch_start
    1651             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :), &
    1652             :          INTENT(INOUT)                                   :: BIb
    1653             :       REAL(KIND=dp), DIMENSION(dimen, dimen), INTENT(IN) :: C_i, C_j
    1654             :       REAL(KIND=dp), DIMENSION(dimen), INTENT(IN)        :: Auto_i, Auto_j
    1655             :       INTEGER, INTENT(IN)                                :: elements_ij_proc
    1656             :       INTEGER, DIMENSION(elements_ij_proc, 2), &
    1657             :          INTENT(IN)                                      :: ij_list_proc
    1658             :       REAL(KIND=dp), INTENT(INOUT)                       :: Emp2, Emp2_Cou
    1659             : 
    1660             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'transform_virtual_orbitals_and_accumulate_ABcase'
    1661             :       REAL(KIND=dp), PARAMETER                           :: two = 2.D+00, zero = 0.D+00
    1662             : 
    1663             :       INTEGER                                            :: a, a_global, b, b_global, handle, i, &
    1664             :                                                             i_global, index_ij, j, j_global, n, s
    1665             :       REAL(KIND=dp)                                      :: iajb, parz
    1666          10 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: BIa
    1667             : 
    1668          10 :       CALL timeset(routineN, handle)
    1669             : 
    1670          40 :       ALLOCATE (BIa(dimen, virt_i))
    1671             : 
    1672          56 :       DO index_ij = 1, elements_ij_proc
    1673             : 
    1674        1236 :          DO a = 1, virt_i
    1675        1190 :             a_global = a + occ_i
    1676       51930 :             DO S = 1, dimen
    1677             :                parz = zero
    1678     2449752 :                DO N = 1, dimen
    1679     2449752 :                   parz = parz + C_i(N, a_global)*BIb(N, S, index_ij)
    1680             :                END DO
    1681       51884 :                BIa(S, a) = parz
    1682             :             END DO
    1683             :          END DO
    1684             : 
    1685       51940 :          BIb(1:dimen, 1:virt_i, index_ij) = BIa
    1686             : 
    1687             :       END DO
    1688             : 
    1689          10 :       DEALLOCATE (BIa)
    1690          40 :       ALLOCATE (BIa(virt_i, virt_j))
    1691             : 
    1692          56 :       DO index_ij = 1, elements_ij_proc
    1693             : 
    1694        1236 :          DO a = 1, virt_i
    1695       47824 :             DO b = 1, virt_j
    1696       46588 :                b_global = b + occ_j
    1697       46588 :                parz = zero
    1698     2257144 :                DO S = 1, dimen
    1699     2257144 :                   parz = parz + C_j(S, b_global)*BIb(S, a, index_ij)
    1700             :                END DO
    1701       47778 :                BIa(a, b) = parz
    1702             :             END DO
    1703             :          END DO
    1704             : 
    1705       47904 :          BIb(1:virt_i, 1:virt_j, index_ij) = BIa
    1706             : 
    1707             :       END DO
    1708             : 
    1709          56 :       DO index_ij = 1, elements_ij_proc
    1710          46 :          i = ij_list_proc(index_ij, 1)
    1711          46 :          j = ij_list_proc(index_ij, 2)
    1712          46 :          i_global = i + i_batch_start
    1713          46 :          j_global = j + j_batch_start
    1714        1246 :          DO a = 1, virt_i
    1715        1190 :             a_global = a + occ_i
    1716       47824 :             DO b = 1, virt_j
    1717       46588 :                b_global = b + occ_j
    1718       46588 :                iajb = BIb(a, b, index_ij)
    1719       46588 :                parz = iajb*iajb/(Auto_i(i_global) + Auto_j(j_global) - Auto_i(a_global) - Auto_j(b_global))
    1720       46588 :                Emp2_Cou = Emp2_Cou + parz/two
    1721       47778 :                Emp2 = Emp2 + parz/two
    1722             :             END DO
    1723             :          END DO
    1724             :       END DO
    1725             : 
    1726          10 :       DEALLOCATE (BIa)
    1727             : 
    1728          10 :       CALL timestop(handle)
    1729             : 
    1730          10 :    END SUBROUTINE transform_virtual_orbitals_and_accumulate_ABcase
    1731             : 
    1732             : END MODULE mp2_direct_method

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